TSTP Solution File: NUM376+1.020 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM376+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 : n010.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 18:04:27 EDT 2022
% Result : Unsatisfiable 3.41s 1.00s
% Output : Refutation 3.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 44
% Syntax : Number of formulae : 5180 ( 485 unt; 0 def)
% Number of atoms : 16823 (7276 equ)
% Maximal formula atoms : 1472 ( 3 avg)
% Number of connectives : 25231 (13588 ~;8820 |;2780 &)
% ( 42 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 699 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 44 ( 42 usr; 43 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 23 con; 0-2 aty)
% Number of variables : 4 ( 0 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14363,plain,
$false,
inference(avatar_sat_refutation,[],[f784,f869,f883,f898,f909,f922,f936,f952,f963,f984,f1001,f1016,f1037,f1063,f1085,f1106,f1124,f1141,f1177,f1201,f1222,f1258,f1283,f1325,f1335,f1345,f1360,f1375,f1389,f1405,f1428,f1447,f1465,f1488,f1503,f1526,f1551,f1582,f1597,f1635,f1655,f1683,f1714,f1747,f1796,f1829,f1860,f1889,f1911,f1946,f1974,f1995,f2024,f2050,f2093,f2121,f2150,f2159,f2197,f2230,f2264,f2290,f2315,f2364,f2390,f2434,f2453,f2478,f2520,f2538,f2574,f2603,f2629,f2660,f2691,f2714,f2744,f2770,f2807,f2839,f2854,f2889,f2947,f2985,f3014,f3045,f3067,f3093,f3123,f3153,f3187,f3212,f3232,f3262,f3304,f3336,f3363,f3383,f3414,f3447,f3476,f3520,f3568,f3591,f3621,f3658,f3678,f3704,f3747,f3767,f3806,f3837,f3861,f3887,f3922,f3954,f3974,f4011,f4036,f4093,f4131,f4160,f4189,f4205,f4229,f4267,f4301,f4323,f4354,f4377,f4417,f4446,f4463,f4501,f4532,f4562,f4585,f4639,f4667,f4709,f4736,f4768,f4790,f4810,f4857,f4881,f4901,f4947,f4967,f4996,f5035,f5058,f5091,f5125,f5174,f5202,f5233,f5265,f5289,f5313,f5352,f5379,f5397,f5431,f5466,f5495,f5527,f5552,f5585,f5618,f5649,f5697,f5727,f5764,f5796,f5820,f5848,f5878,f5900,f5940,f5960,f5994,f6021,f6060,f6075,f6115,f6144,f6199,f6220,f6260,f6291,f6308,f6338,f6367,f6396,f6424,f6457,f6487,f6513,f6541,f6576,f6608,f6632,f6671,f6718,f6749,f6779,f6800,f6837,f6862,f6892,f6916,f6941,f6966,f7011,f7043,f7071,f7095,f7136,f7163,f7189,f7220,f7236,f7273,f7302,f7338,f7361,f7400,f7436,f7466,f7490,f7517,f7545,f7601,f7632,f7651,f7681,f7715,f7747,f7784,f7809,f7831,f7864,f7897,f7924,f7943,f7988,f8042,f8058,f8090,f8122,f8151,f8179,f8213,f8240,f8270,f8293,f8330,f8354,f8390,f8422,f8471,f8504,f8532,f8567,f8583,f8627,f8649,f8680,f8709,f8741,f8770,f8800,f8822,f8885,f8910,f8948,f8978,f9001,f9033,f9057,f9083,f9121,f9135,f9172,f9201,f9228,f9293,f9322,f9354,f9378,f9402,f9441,f9465,f9493,f9535,f9556,f9583,f9625,f9666,f9701,f9728,f9756,f9788,f9813,f9855,f9883,f9901,f9941,f9961,f9991,f10043,f10085,f10118,f10141,f10162,f10192,f10232,f10249,f10292,f10320,f10343,f10382,f10435,f10455,f10486,f10525,f10537,f10582,f10608,f10625,f10661,f10690,f10744,f10782,f10812,f10843,f10858,f10900,f10923,f10948,f10992,f11019,f11072,f11102,f11129,f11155,f11179,f11217,f11235,f11275,f11300,f11328,f11388,f11406,f11444,f11480,f11499,f11537,f11566,f11592,f11625,f11684,f11711,f11741,f11753,f11798,f11823,f11859,f11884,f11916,f11945,f12004,f12037,f12058,f12090,f12117,f12147,f12180,f12216,f12258,f12299,f12330,f12343,f12388,f12417,f12439,f12486,f12523,f12550,f12588,f12609,f12646,f12675,f12723,f12753,f12783,f12816,f12846,f12872,f12892,f12939,f12986,f13024,f13053,f13072,f13099,f13156,f13175,f13214,f13249,f13284,f13316,f13366,f13401,f13426,f13467,f13504,f13524,f13564,f13596,f13624,f13654,f13709,f13728,f13760,f13785,f13840,f13869,f13901,f13936,f13966,f14001,f14028,f14083,f14112,f14146,f14181,f14207,f14248,f14269,f14330,f14360]) ).
fof(f14360,plain,
( ~ spl2_5
| ~ spl2_25 ),
inference(avatar_contradiction_clause,[],[f14359]) ).
fof(f14359,plain,
( $false
| ~ spl2_5
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f14358]) ).
fof(f14358,plain,
( n2 != n2
| ~ spl2_5
| ~ spl2_25 ),
inference(forward_demodulation,[],[f14357,f433]) ).
fof(f433,plain,
n2 = sum(n1,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f3,plain,
( succ(n9) = n10
& n19 = sum(n8,n11)
& n1 = sum(n15,n7)
& n12 = sum(n3,n9)
& n15 = sum(n1,n14)
& n1 != n10
& n9 = pred(n10)
& succ(n5) = n6
& n8 = sum(n16,n13)
& n11 = sum(n13,n19)
& n2 = sum(n16,n7)
& n3 = pred(n4)
& n4 = sum(n16,n9)
& n7 != n14
& n5 != n15
& n15 = sum(n13,n2)
& n14 = sum(n16,n19)
& n8 = sum(n15,n14)
& n12 != n20
& n13 != n17
& n15 = sum(n18,n18)
& n8 != n18
& succ(n1) = n2
& n13 = sum(n9,n4)
& n19 = sum(n13,n6)
& n1 = sum(n17,n5)
& n9 = sum(n1,n8)
& n17 = sum(n11,n6)
& n3 != n9
& n8 = sum(n3,n5)
& n20 = sum(n20,n0)
& n7 = sum(n20,n8)
& n17 != n18
& n1 != n4
& n3 = sum(n0,n3)
& n15 != n16
& n4 != n13
& n5 != n13
& n6 = sum(n16,n11)
& n18 != n19
& n19 = sum(n17,n2)
& n1 = sum(n8,n14)
& succ(n17) = n18
& n14 = sum(n15,n20)
& n6 != n18
& n5 = sum(n3,n2)
& n6 = sum(n6,n0)
& n10 != n16
& n17 = pred(n18)
& n0 = sum(n17,n4)
& n16 = sum(n5,n11)
& n16 = sum(n7,n9)
& n4 != n6
& n20 = sum(n15,n5)
& n4 != n10
& n3 = sum(n13,n11)
& n4 = sum(n13,n12)
& n5 = sum(n18,n8)
& succ(n11) = n12
& n14 = sum(n4,n10)
& n12 = sum(n2,n10)
& n9 = sum(n8,n1)
& n17 = sum(n8,n9)
& n0 != n3
& n10 != n11
& n3 = sum(n18,n6)
& n14 = sum(n11,n3)
& n19 = sum(n11,n8)
& n4 != n16
& n12 = sum(n19,n14)
& n3 != n12
& n12 = sum(n9,n3)
& n13 = sum(n20,n14)
& n16 = sum(n1,n15)
& n7 != n10
& n4 = sum(n14,n11)
& n4 != n5
& n9 = sum(n4,n5)
& n17 = sum(n7,n10)
& n8 = sum(n18,n11)
& n13 = sum(n7,n6)
& n3 = sum(n7,n17)
& n18 = sum(n3,n15)
& n4 = sum(n8,n17)
& n17 != n20
& n15 = sum(n10,n5)
& n16 = sum(n17,n20)
& n18 = sum(n16,n2)
& n6 != n9
& n5 = sum(n12,n14)
& n19 = sum(n6,n13)
& n1 != n14
& n7 = pred(n8)
& n17 = sum(n13,n4)
& n1 = sum(n9,n13)
& n14 = sum(n18,n17)
& n0 = sum(n14,n7)
& n18 = sum(n12,n6)
& n9 = sum(n18,n12)
& n14 != n16
& n12 = sum(n7,n5)
& n0 = pred(n1)
& n10 = sum(n13,n18)
& n17 = sum(n3,n14)
& n7 = sum(n17,n11)
& n0 != n5
& n5 != n10
& n5 != n6
& n20 = sum(n17,n3)
& n18 = sum(n19,n20)
& n4 != n8
& n20 = sum(n19,n1)
& n0 = sum(n8,n13)
& n6 = sum(n18,n9)
& n9 = sum(n9,n0)
& n16 != n18
& n2 != n7
& n5 = sum(n17,n9)
& n12 = sum(n18,n15)
& n0 = succ(n20)
& n2 != n14
& n20 = sum(n6,n14)
& n2 = sum(n5,n18)
& n17 = sum(n4,n13)
& n15 != n17
& n2 = sum(n14,n9)
& n0 != n17
& n16 = sum(n19,n18)
& n12 = sum(n13,n20)
& n10 = sum(n7,n3)
& n16 = sum(n2,n14)
& n7 = sum(n7,n0)
& succ(n4) = n5
& n4 = sum(n9,n16)
& n6 != n17
& n14 != n20
& n0 != n16
& n14 = pred(n15)
& n10 = sum(n17,n14)
& n16 = sum(n14,n2)
& n16 = sum(n3,n13)
& n19 = sum(n10,n9)
& n14 = sum(n5,n9)
& n2 = sum(n3,n20)
& n5 = sum(n5,n0)
& n0 != n19
& n3 = sum(n5,n19)
& n17 = sum(n12,n5)
& n0 != n20
& n11 = sum(n3,n8)
& n13 != n16
& n10 != n14
& n19 = sum(n0,n19)
& n3 = sum(n12,n12)
& n9 = sum(n6,n3)
& n1 = sum(n5,n17)
& n10 != n20
& n4 != n20
& n18 = sum(n14,n4)
& n12 = sum(n1,n11)
& n3 = sum(n16,n8)
& n16 = sum(n12,n4)
& n12 = sum(n17,n16)
& n7 = sum(n5,n2)
& n5 = sum(n8,n18)
& n18 = sum(n5,n13)
& n6 = sum(n2,n4)
& n11 != n15
& n20 = sum(n5,n15)
& n5 = pred(n6)
& n7 = sum(n3,n4)
& n0 = sum(n2,n19)
& n11 != n12
& n3 != n5
& n6 = sum(n20,n7)
& n3 = sum(n4,n20)
& n13 = sum(n1,n12)
& n11 = sum(n9,n2)
& n7 = sum(n9,n19)
& n7 = sum(n18,n10)
& n6 = pred(n7)
& n4 != n12
& n1 != n9
& n15 = sum(n3,n12)
& n5 != n9
& n3 = sum(n14,n10)
& n5 != n18
& n2 = sum(n13,n10)
& n12 = sum(n5,n7)
& n0 = sum(n20,n1)
& n8 = sum(n0,n8)
& succ(n19) = n20
& n3 != n20
& n12 = sum(n0,n12)
& n6 = sum(n7,n20)
& n14 = sum(n19,n16)
& n2 != n19
& succ(n13) = n14
& n3 = sum(n17,n7)
& n19 = sum(n18,n1)
& n11 = sum(n19,n13)
& n10 = sum(n16,n15)
& n11 != n20
& n14 = sum(n6,n8)
& n5 != n16
& n17 = sum(n9,n8)
& n16 != n20
& n3 != n4
& n15 = sum(n11,n4)
& n3 = sum(n15,n9)
& n4 = sum(n2,n2)
& n10 = sum(n19,n12)
& n11 != n14
& n9 = sum(n14,n16)
& n8 != n19
& n19 = sum(n2,n17)
& n8 = sum(n7,n1)
& n9 = sum(n19,n11)
& n15 = sum(n14,n1)
& n7 != n18
& n15 = sum(n6,n9)
& n2 != n20
& n4 = sum(n20,n5)
& n1 = sum(n16,n6)
& n8 != n14
& succ(n8) = n9
& n15 = sum(n7,n8)
& n7 = sum(n11,n17)
& n16 = sum(n0,n16)
& n1 = sum(n11,n11)
& n4 = sum(n7,n18)
& n16 != n17
& n0 = sum(n15,n6)
& n10 != n19
& n3 != n7
& n10 = sum(n4,n6)
& n18 = sum(n1,n17)
& n20 = sum(n13,n7)
& n9 != n18
& n4 = sum(n11,n14)
& n6 = sum(n10,n17)
& n1 != n17
& succ(n6) = n7
& n0 != n9
& n3 = sum(n1,n2)
& n13 = pred(n14)
& n4 = sum(n17,n8)
& n10 = sum(n12,n19)
& n8 = sum(n6,n2)
& n16 = sum(n18,n19)
& n20 = sum(n3,n17)
& n1 = sum(n1,n0)
& succ(n3) = n4
& n8 != n13
& n5 != n20
& n7 = sum(n16,n12)
& n2 = sum(n6,n17)
& n2 != n16
& n1 = sum(n3,n19)
& n1 = sum(n12,n10)
& n4 = sum(n0,n4)
& n0 = sum(n16,n5)
& n4 != n18
& n2 = sum(n15,n8)
& n1 = sum(n7,n15)
& n12 != n18
& n2 = sum(n1,n1)
& n9 != n10
& n17 = sum(n14,n3)
& n17 = sum(n6,n11)
& n4 = sum(n18,n7)
& n16 = sum(n15,n1)
& n3 = sum(n3,n0)
& n3 = sum(n9,n15)
& n14 = sum(n9,n5)
& n1 = sum(n14,n8)
& n7 != n8
& n8 = sum(n11,n18)
& n13 = sum(n4,n9)
& n2 = sum(n18,n5)
& n6 = sum(n3,n3)
& n15 = pred(n16)
& n2 = sum(n11,n12)
& n6 != n10
& n3 = sum(n20,n4)
& n8 != n12
& n8 = sum(n13,n16)
& n9 = sum(n5,n4)
& n13 = sum(n6,n7)
& n3 != n19
& n15 = sum(n12,n3)
& n1 != n18
& n18 = sum(n18,n0)
& n0 = sum(n10,n11)
& n2 != n15
& n15 = sum(n20,n16)
& n19 = sum(n4,n15)
& n15 = sum(n17,n19)
& n4 != n15
& n19 = sum(n5,n14)
& n2 != n11
& n1 = sum(n0,n1)
& n2 != n6
& n11 = sum(n1,n10)
& n14 = sum(n7,n7)
& n12 != n13
& n10 = sum(n8,n2)
& ( n7 = sK0
| n0 = sK0
| n9 = sK0
| n5 = sK0
| n10 = sK0
| n19 = sK0
| n14 = sK0
| n13 = sK0
| n16 = sK0
| n2 = sK0
| n4 = sK0
| n17 = sK0
| n8 = sK0
| n12 = sK0
| n20 = sK0
| n18 = sK0
| n15 = sK0
| n6 = sK0
| n1 = sK0
| n11 = sK0
| n3 = sK0 )
& n18 = sum(n8,n10)
& n12 != n15
& n0 = sum(n13,n8)
& n14 = sum(n12,n2)
& n17 = sum(n2,n15)
& n4 != n17
& n13 = sum(n18,n16)
& n10 = sum(n1,n9)
& n11 = sum(n15,n17)
& n19 = sum(n16,n3)
& n2 != n18
& n5 = sum(n7,n19)
& n11 = sum(n6,n5)
& n12 = sum(n8,n4)
& n4 != n7
& n14 = sum(n17,n18)
& n12 != n16
& n0 = sum(n3,n18)
& n1 = sum(n18,n4)
& n1 != n8
& n4 = sum(n12,n13)
& n6 = sum(n9,n18)
& n5 = sum(n9,n17)
& n2 != n13
& n14 = sum(n13,n1)
& n18 = sum(n0,n18)
& n1 != n15
& n9 != n14
& n19 != n20
& n7 != n13
& n5 = sum(n10,n16)
& n3 != n8
& n4 != n11
& n20 = pred(n0)
& n18 = sum(n9,n9)
& n17 = sum(n0,n17)
& n14 = sum(n20,n15)
& n8 != n16
& n16 = sum(n11,n5)
& n1 != n7
& n14 = sum(n0,n14)
& n18 = pred(n19)
& n6 = sum(n14,n13)
& n0 != n4
& n11 = pred(n12)
& sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))
& n0 = sum(n7,n14)
& n9 != n11
& n1 = sum(n13,n9)
& n3 = sum(n10,n14)
& n7 != n16
& n10 != n18
& n11 = sum(n14,n18)
& n14 != n19
& n15 = sum(n19,n17)
& n20 = sum(n8,n12)
& n15 = sum(n16,n20)
& n0 = sum(n12,n9)
& n8 = pred(n9)
& n1 != n12
& n10 = sum(n6,n4)
& n4 = sum(n10,n15)
& n12 != n17
& n0 != n8
& n5 = sum(n16,n10)
& n13 = sum(n2,n11)
& n9 = sum(n13,n17)
& n20 = sum(n10,n10)
& n19 = sum(n19,n0)
& n17 = sum(n1,n16)
& n4 != n19
& n18 = sum(n6,n12)
& n3 != n16
& n9 = sum(n15,n15)
& n20 = sum(n14,n6)
& n12 = sum(n6,n6)
& n2 != n4
& n18 = sum(n13,n5)
& n13 != n20
& n12 = sum(n15,n18)
& n7 = sum(n6,n1)
& n18 = sum(n4,n14)
& n15 != n20
& n17 = sum(n10,n7)
& n1 = sum(n19,n3)
& n16 = sum(n9,n7)
& n20 = sum(n11,n9)
& n7 != n11
& n11 = sum(n18,n14)
& succ(n7) = n8
& n6 != n13
& n16 = sum(n4,n12)
& n5 = sum(n4,n1)
& n19 = sum(n14,n5)
& n20 = sum(n7,n13)
& n0 = sum(n0,n0)
& n7 = sum(n10,n18)
& n1 != n5
& n7 != n19
& n15 = sum(n15,n0)
& n1 != n3
& n4 = sum(n4,n0)
& n1 != n16
& n16 = pred(n17)
& n19 = sum(n7,n12)
& n14 != n15
& n15 != n19
& n10 != n17
& n12 = sum(n12,n0)
& n10 != n13
& n17 = sum(n17,n0)
& n12 != n19
& n6 = sum(n1,n5)
& succ(n12) = n13
& n17 != n19
& n8 = sum(n1,n7)
& n19 = sum(n12,n7)
& n0 = sum(n19,n2)
& n8 = sum(n19,n10)
& n5 = sum(n2,n3)
& n6 = sum(n0,n6)
& n7 = sum(n0,n7)
& n4 != n14
& n1 = sum(n4,n18)
& n13 = sum(n13,n0)
& n10 = pred(n11)
& n4 = sum(n19,n6)
& n15 = sum(n9,n6)
& n16 = sum(n6,n10)
& n6 != n19
& n11 = sum(n0,n11)
& n8 = sum(n12,n17)
& n2 = sum(n4,n19)
& n4 = sum(n5,n20)
& n20 = sum(n12,n8)
& n4 != n9
& n11 = sum(n17,n15)
& n7 != n15
& n13 != n14
& n0 != n12
& n0 != n10
& n11 = sum(n2,n9)
& n5 = sum(n0,n5)
& n7 = sum(n2,n5)
& n3 != n13
& n4 = sum(n6,n19)
& n13 = sum(n3,n10)
& n4 = sum(n3,n1)
& n7 = sum(n14,n14)
& n7 != n20
& n11 != n17
& n13 = sum(n11,n2)
& n1 != n13
& n1 != n6
& n0 != n6
& n2 != n10
& n0 = sum(n4,n17)
& n11 != n13
& succ(n16) = n17
& n9 = sum(n20,n10)
& n1 = pred(n2)
& n10 = sum(n5,n5)
& n4 = sum(n15,n10)
& n9 = sum(n7,n2)
& n1 != n2
& n0 != n14
& n12 = pred(n13)
& n19 = sum(n3,n16)
& n18 = sum(n20,n19)
& n6 = sum(n15,n12)
& n9 = sum(n12,n18)
& n12 = sum(n14,n19)
& n5 = sum(n20,n6)
& n7 = sum(n8,n20)
& succ(n14) = n15
& n6 != n15
& n10 != n15
& n19 = pred(n20)
& n20 = sum(n18,n2)
& n17 = sum(n15,n2)
& n20 = sum(n4,n16)
& n17 = sum(n19,n19)
& n5 != n7
& n5 != n17
& n0 = sum(n1,n20)
& n11 = sum(n11,n0)
& n3 != n17
& n16 = sum(n13,n3)
& n3 = sum(n8,n16)
& n2 != n9
& n3 != n15
& n0 != n15
& n8 = sum(n9,n20)
& n2 = sum(n17,n6)
& n18 = sum(n10,n8)
& n19 = sum(n15,n4)
& n13 != n18
& n3 != n18
& n11 = sum(n16,n16)
& succ(n0) = n1
& n14 = sum(n3,n11)
& n2 = sum(n0,n2)
& n9 = sum(n2,n7)
& n3 != n11
& n7 = sum(n13,n15)
& n2 = sum(n7,n16)
& n11 = sum(n8,n3)
& succ(n2) = n3
& n8 = sum(n5,n3)
& n6 != n8
& n10 = sum(n3,n7)
& n3 != n14
& n13 = sum(n12,n1)
& n6 != n16
& n16 = sum(n8,n8)
& n14 = sum(n14,n0)
& n0 != n11
& n2 = pred(n3)
& n13 = sum(n0,n13)
& n11 = sum(n5,n6)
& n5 = sum(n15,n11)
& n10 = sum(n14,n17)
& n0 != n2
& n20 = sum(n16,n4)
& n6 = sum(n8,n19)
& n6 = sum(n5,n1)
& n9 != n17
& n5 = sum(n19,n7)
& n9 != n19
& n12 = sum(n10,n2)
& n8 != n15
& n13 = sum(n10,n3)
& n12 = sum(n20,n13)
& n0 != n7
& n8 = sum(n4,n4)
& n0 != n13
& n6 != n11
& n16 = sum(n16,n0)
& n17 = sum(n18,n20)
& n15 = sum(n4,n11)
& n16 = sum(n20,n17)
& n11 != n18
& n5 != n8
& n11 = sum(n4,n7)
& n3 != n10
& n7 != n9
& n15 = sum(n5,n10)
& n2 != n3
& n0 = sum(n18,n3)
& n7 != n17
& n4 = sum(n1,n3)
& n0 != n18
& n9 = sum(n17,n13)
& n10 = sum(n15,n16)
& n18 = sum(n17,n1)
& n5 != n11
& n8 != n9
& n11 = sum(n10,n1)
& n0 = sum(n6,n15)
& n19 = sum(n1,n18)
& n20 = sum(n2,n18)
& n6 = sum(n13,n14)
& n2 = sum(n12,n11)
& n2 = sum(n8,n15)
& n6 = sum(n19,n8)
& n4 = pred(n5)
& n3 = sum(n11,n13)
& n12 != n14
& n13 = sum(n16,n18)
& n10 != n12
& n9 != n15
& n7 = sum(n15,n13)
& n19 = sum(n20,n20)
& n12 = sum(n4,n8)
& n8 != n11
& n6 = sum(n11,n16)
& n13 = sum(n19,n15)
& succ(n10) = n11
& n9 != n13
& n12 = sum(n11,n1)
& n5 = sum(n6,n20)
& n3 = sum(n19,n5)
& n6 != n14
& n3 != n6
& n7 = sum(n4,n3)
& n13 = sum(n17,n17)
& n16 = sum(n10,n6)
& n16 != n19
& n10 = sum(n20,n11)
& n5 != n12
& n11 = sum(n7,n4)
& n7 = sum(n19,n9)
& n14 != n18
& n10 = sum(n18,n13)
& n9 = sum(n16,n14)
& n2 != n5
& n2 = sum(n9,n14)
& n14 = sum(n10,n4)
& n8 = sum(n14,n15)
& n2 != n17
& n13 = sum(n5,n8)
& n7 = sum(n12,n16)
& n14 != n17
& n8 != n10
& n9 != n12
& n18 != n20
& n2 != n8
& n5 = sum(n11,n15)
& n5 = sum(n1,n4)
& n13 = sum(n15,n19)
& n8 = sum(n17,n12)
& n0 != n1
& n17 = sum(n5,n12)
& n6 != n12
& n8 != n17
& n2 != n12
& n14 = sum(n2,n12)
& n5 != n14
& n2 = sum(n20,n3)
& n1 != n11
& n18 = sum(n11,n7)
& n8 = sum(n20,n9)
& n10 = sum(n11,n20)
& n20 = sum(n1,n19)
& n1 != n19
& n5 = sum(n13,n13)
& n6 = sum(n12,n15)
& n2 = sum(n19,n4)
& n8 != n20
& n18 = sum(n15,n3)
& n19 = sum(n9,n10)
& n20 = sum(n0,n20)
& n0 = sum(n5,n16)
& n5 != n19
& n13 != n19
& n10 = sum(n2,n8)
& n1 = sum(n2,n20)
& n10 = sum(n0,n10)
& n5 = sum(n14,n12)
& n3 = sum(n6,n18)
& n2 = sum(n10,n13)
& n10 = sum(n10,n0)
& n7 = sum(n1,n6)
& n13 = sum(n14,n20)
& n6 != n20
& n9 = sum(n3,n6)
& n15 = sum(n2,n13)
& n14 = sum(n8,n6)
& ( n11 = sK1
| n15 = sK1
| n14 = sK1
| n8 = sK1
| n13 = sK1
| n1 = sK1
| n0 = sK1
| n10 = sK1
| n9 = sK1
| n4 = sK1
| n16 = sK1
| n7 = sK1
| n17 = sK1
| n2 = sK1
| n6 = sK1
| n18 = sK1
| n5 = sK1
| n19 = sK1
| n3 = sK1
| n12 = sK1
| n20 = sK1 )
& n14 = sum(n1,n13)
& n8 = sum(n8,n0)
& succ(n18) = n19
& n1 = sum(n6,n16)
& n1 != n20
& succ(n15) = n16
& n13 = sum(n8,n5)
& n18 = sum(n2,n16)
& n15 = sum(n8,n7)
& n10 = sum(n9,n1)
& n0 = sum(n11,n10)
& n13 != n15
& n15 != n18
& n11 = sum(n12,n20)
& n3 = sum(n2,n1)
& n11 != n16
& n11 != n19
& n0 = sum(n9,n12)
& n1 = sum(n20,n2)
& n15 = sum(n0,n15)
& n8 = sum(n2,n6)
& n1 = sum(n10,n12)
& n7 != n12
& n18 = sum(n7,n11)
& n9 != n16
& n6 = sum(n4,n2)
& n20 = sum(n9,n11)
& n11 = sum(n20,n12)
& n9 = sum(n0,n9)
& n17 = sum(n20,n18)
& n2 = sum(n2,n0)
& n9 = sum(n10,n20)
& n8 = sum(n10,n19)
& n17 = sum(n16,n1)
& n6 = sum(n17,n10)
& n6 != n7
& n9 != n20
& n12 = sum(n16,n17)
& n9 = sum(n11,n19) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f1,f2]) ).
fof(f2,plain,
( ? [X0,X1] :
( succ(n9) = n10
& n19 = sum(n8,n11)
& n1 = sum(n15,n7)
& n12 = sum(n3,n9)
& n15 = sum(n1,n14)
& n1 != n10
& n9 = pred(n10)
& succ(n5) = n6
& n8 = sum(n16,n13)
& n11 = sum(n13,n19)
& n2 = sum(n16,n7)
& n3 = pred(n4)
& n4 = sum(n16,n9)
& n7 != n14
& n5 != n15
& n15 = sum(n13,n2)
& n14 = sum(n16,n19)
& n8 = sum(n15,n14)
& n12 != n20
& n13 != n17
& n15 = sum(n18,n18)
& n8 != n18
& succ(n1) = n2
& n13 = sum(n9,n4)
& n19 = sum(n13,n6)
& n1 = sum(n17,n5)
& n9 = sum(n1,n8)
& n17 = sum(n11,n6)
& n3 != n9
& n8 = sum(n3,n5)
& n20 = sum(n20,n0)
& n7 = sum(n20,n8)
& n17 != n18
& n1 != n4
& n3 = sum(n0,n3)
& n15 != n16
& n4 != n13
& n5 != n13
& n6 = sum(n16,n11)
& n18 != n19
& n19 = sum(n17,n2)
& n1 = sum(n8,n14)
& succ(n17) = n18
& n14 = sum(n15,n20)
& n6 != n18
& n5 = sum(n3,n2)
& n6 = sum(n6,n0)
& n10 != n16
& n17 = pred(n18)
& n0 = sum(n17,n4)
& n16 = sum(n5,n11)
& n16 = sum(n7,n9)
& n4 != n6
& n20 = sum(n15,n5)
& n4 != n10
& n3 = sum(n13,n11)
& n4 = sum(n13,n12)
& n5 = sum(n18,n8)
& succ(n11) = n12
& n14 = sum(n4,n10)
& n12 = sum(n2,n10)
& n9 = sum(n8,n1)
& n17 = sum(n8,n9)
& n0 != n3
& n10 != n11
& n3 = sum(n18,n6)
& n14 = sum(n11,n3)
& n19 = sum(n11,n8)
& n4 != n16
& n12 = sum(n19,n14)
& n3 != n12
& n12 = sum(n9,n3)
& n13 = sum(n20,n14)
& n16 = sum(n1,n15)
& n7 != n10
& n4 = sum(n14,n11)
& n4 != n5
& n9 = sum(n4,n5)
& n17 = sum(n7,n10)
& n8 = sum(n18,n11)
& n13 = sum(n7,n6)
& n3 = sum(n7,n17)
& n18 = sum(n3,n15)
& n4 = sum(n8,n17)
& n17 != n20
& n15 = sum(n10,n5)
& n16 = sum(n17,n20)
& n18 = sum(n16,n2)
& n6 != n9
& n5 = sum(n12,n14)
& n19 = sum(n6,n13)
& n1 != n14
& n7 = pred(n8)
& n17 = sum(n13,n4)
& n1 = sum(n9,n13)
& n14 = sum(n18,n17)
& n0 = sum(n14,n7)
& n18 = sum(n12,n6)
& n9 = sum(n18,n12)
& n14 != n16
& n12 = sum(n7,n5)
& n0 = pred(n1)
& n10 = sum(n13,n18)
& n17 = sum(n3,n14)
& n7 = sum(n17,n11)
& n0 != n5
& n5 != n10
& n5 != n6
& n20 = sum(n17,n3)
& n18 = sum(n19,n20)
& n4 != n8
& n20 = sum(n19,n1)
& n0 = sum(n8,n13)
& n6 = sum(n18,n9)
& n9 = sum(n9,n0)
& n16 != n18
& n2 != n7
& n5 = sum(n17,n9)
& n12 = sum(n18,n15)
& n0 = succ(n20)
& n2 != n14
& n20 = sum(n6,n14)
& n2 = sum(n5,n18)
& n17 = sum(n4,n13)
& n15 != n17
& n2 = sum(n14,n9)
& n0 != n17
& n16 = sum(n19,n18)
& n12 = sum(n13,n20)
& n10 = sum(n7,n3)
& n16 = sum(n2,n14)
& n7 = sum(n7,n0)
& succ(n4) = n5
& n4 = sum(n9,n16)
& n6 != n17
& n14 != n20
& n0 != n16
& n14 = pred(n15)
& n10 = sum(n17,n14)
& n16 = sum(n14,n2)
& n16 = sum(n3,n13)
& n19 = sum(n10,n9)
& n14 = sum(n5,n9)
& n2 = sum(n3,n20)
& n5 = sum(n5,n0)
& n0 != n19
& n3 = sum(n5,n19)
& n17 = sum(n12,n5)
& n0 != n20
& n11 = sum(n3,n8)
& n13 != n16
& n10 != n14
& n19 = sum(n0,n19)
& n3 = sum(n12,n12)
& n9 = sum(n6,n3)
& n1 = sum(n5,n17)
& n10 != n20
& n4 != n20
& n18 = sum(n14,n4)
& n12 = sum(n1,n11)
& n3 = sum(n16,n8)
& n16 = sum(n12,n4)
& n12 = sum(n17,n16)
& n7 = sum(n5,n2)
& n5 = sum(n8,n18)
& n18 = sum(n5,n13)
& n6 = sum(n2,n4)
& n11 != n15
& n20 = sum(n5,n15)
& n5 = pred(n6)
& n7 = sum(n3,n4)
& n0 = sum(n2,n19)
& n11 != n12
& n3 != n5
& n6 = sum(n20,n7)
& n3 = sum(n4,n20)
& n13 = sum(n1,n12)
& n11 = sum(n9,n2)
& n7 = sum(n9,n19)
& n7 = sum(n18,n10)
& n6 = pred(n7)
& n4 != n12
& n1 != n9
& n15 = sum(n3,n12)
& n5 != n9
& n3 = sum(n14,n10)
& n5 != n18
& n2 = sum(n13,n10)
& n12 = sum(n5,n7)
& n0 = sum(n20,n1)
& n8 = sum(n0,n8)
& succ(n19) = n20
& n3 != n20
& n12 = sum(n0,n12)
& n6 = sum(n7,n20)
& n14 = sum(n19,n16)
& n2 != n19
& succ(n13) = n14
& n3 = sum(n17,n7)
& n19 = sum(n18,n1)
& n11 = sum(n19,n13)
& n10 = sum(n16,n15)
& n11 != n20
& n14 = sum(n6,n8)
& n5 != n16
& n17 = sum(n9,n8)
& n16 != n20
& n3 != n4
& n15 = sum(n11,n4)
& n3 = sum(n15,n9)
& n4 = sum(n2,n2)
& n10 = sum(n19,n12)
& n11 != n14
& n9 = sum(n14,n16)
& n8 != n19
& n19 = sum(n2,n17)
& n8 = sum(n7,n1)
& n9 = sum(n19,n11)
& n15 = sum(n14,n1)
& n7 != n18
& n15 = sum(n6,n9)
& n2 != n20
& n4 = sum(n20,n5)
& n1 = sum(n16,n6)
& n8 != n14
& succ(n8) = n9
& n15 = sum(n7,n8)
& n7 = sum(n11,n17)
& n16 = sum(n0,n16)
& n1 = sum(n11,n11)
& n4 = sum(n7,n18)
& n16 != n17
& n0 = sum(n15,n6)
& n10 != n19
& n3 != n7
& n10 = sum(n4,n6)
& n18 = sum(n1,n17)
& n20 = sum(n13,n7)
& n9 != n18
& n4 = sum(n11,n14)
& n6 = sum(n10,n17)
& n1 != n17
& succ(n6) = n7
& n0 != n9
& n3 = sum(n1,n2)
& n13 = pred(n14)
& n4 = sum(n17,n8)
& n10 = sum(n12,n19)
& n8 = sum(n6,n2)
& n16 = sum(n18,n19)
& n20 = sum(n3,n17)
& n1 = sum(n1,n0)
& succ(n3) = n4
& n8 != n13
& n5 != n20
& n7 = sum(n16,n12)
& n2 = sum(n6,n17)
& n2 != n16
& n1 = sum(n3,n19)
& n1 = sum(n12,n10)
& n4 = sum(n0,n4)
& n0 = sum(n16,n5)
& n4 != n18
& n2 = sum(n15,n8)
& n1 = sum(n7,n15)
& n12 != n18
& n2 = sum(n1,n1)
& n9 != n10
& n17 = sum(n14,n3)
& n17 = sum(n6,n11)
& n4 = sum(n18,n7)
& n16 = sum(n15,n1)
& n3 = sum(n3,n0)
& n3 = sum(n9,n15)
& n14 = sum(n9,n5)
& n1 = sum(n14,n8)
& n7 != n8
& n8 = sum(n11,n18)
& n13 = sum(n4,n9)
& n2 = sum(n18,n5)
& n6 = sum(n3,n3)
& n15 = pred(n16)
& n2 = sum(n11,n12)
& n6 != n10
& n3 = sum(n20,n4)
& n8 != n12
& n8 = sum(n13,n16)
& n9 = sum(n5,n4)
& n13 = sum(n6,n7)
& n3 != n19
& n15 = sum(n12,n3)
& n1 != n18
& n18 = sum(n18,n0)
& n0 = sum(n10,n11)
& n2 != n15
& n15 = sum(n20,n16)
& n19 = sum(n4,n15)
& n15 = sum(n17,n19)
& n4 != n15
& n19 = sum(n5,n14)
& n2 != n11
& n1 = sum(n0,n1)
& n2 != n6
& n11 = sum(n1,n10)
& n14 = sum(n7,n7)
& n12 != n13
& n10 = sum(n8,n2)
& ( n7 = X0
| n0 = X0
| n9 = X0
| n5 = X0
| n10 = X0
| n19 = X0
| n14 = X0
| n13 = X0
| n16 = X0
| n2 = X0
| n4 = X0
| n17 = X0
| n8 = X0
| n12 = X0
| n20 = X0
| n18 = X0
| n15 = X0
| n6 = X0
| n1 = X0
| n11 = X0
| n3 = X0 )
& n18 = sum(n8,n10)
& n12 != n15
& n0 = sum(n13,n8)
& n14 = sum(n12,n2)
& n17 = sum(n2,n15)
& n4 != n17
& n13 = sum(n18,n16)
& n10 = sum(n1,n9)
& n11 = sum(n15,n17)
& n19 = sum(n16,n3)
& n2 != n18
& n5 = sum(n7,n19)
& n11 = sum(n6,n5)
& n12 = sum(n8,n4)
& n4 != n7
& n14 = sum(n17,n18)
& n12 != n16
& n0 = sum(n3,n18)
& n1 = sum(n18,n4)
& n1 != n8
& n4 = sum(n12,n13)
& n6 = sum(n9,n18)
& n5 = sum(n9,n17)
& n2 != n13
& n14 = sum(n13,n1)
& n18 = sum(n0,n18)
& n1 != n15
& n9 != n14
& n19 != n20
& n7 != n13
& n5 = sum(n10,n16)
& n3 != n8
& n4 != n11
& n20 = pred(n0)
& n18 = sum(n9,n9)
& n17 = sum(n0,n17)
& n14 = sum(n20,n15)
& n8 != n16
& n16 = sum(n11,n5)
& n1 != n7
& n14 = sum(n0,n14)
& n18 = pred(n19)
& n6 = sum(n14,n13)
& n0 != n4
& n11 = pred(n12)
& sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) != sum(sum(pred(X0),succ(X0)),sum(pred(X1),succ(X1)))
& n0 = sum(n7,n14)
& n9 != n11
& n1 = sum(n13,n9)
& n3 = sum(n10,n14)
& n7 != n16
& n10 != n18
& n11 = sum(n14,n18)
& n14 != n19
& n15 = sum(n19,n17)
& n20 = sum(n8,n12)
& n15 = sum(n16,n20)
& n0 = sum(n12,n9)
& n8 = pred(n9)
& n1 != n12
& n10 = sum(n6,n4)
& n4 = sum(n10,n15)
& n12 != n17
& n0 != n8
& n5 = sum(n16,n10)
& n13 = sum(n2,n11)
& n9 = sum(n13,n17)
& n20 = sum(n10,n10)
& n19 = sum(n19,n0)
& n17 = sum(n1,n16)
& n4 != n19
& n18 = sum(n6,n12)
& n3 != n16
& n9 = sum(n15,n15)
& n20 = sum(n14,n6)
& n12 = sum(n6,n6)
& n2 != n4
& n18 = sum(n13,n5)
& n13 != n20
& n12 = sum(n15,n18)
& n7 = sum(n6,n1)
& n18 = sum(n4,n14)
& n15 != n20
& n17 = sum(n10,n7)
& n1 = sum(n19,n3)
& n16 = sum(n9,n7)
& n20 = sum(n11,n9)
& n7 != n11
& n11 = sum(n18,n14)
& succ(n7) = n8
& n6 != n13
& n16 = sum(n4,n12)
& n5 = sum(n4,n1)
& n19 = sum(n14,n5)
& n20 = sum(n7,n13)
& n0 = sum(n0,n0)
& n7 = sum(n10,n18)
& n1 != n5
& n7 != n19
& n15 = sum(n15,n0)
& n1 != n3
& n4 = sum(n4,n0)
& n1 != n16
& n16 = pred(n17)
& n19 = sum(n7,n12)
& n14 != n15
& n15 != n19
& n10 != n17
& n12 = sum(n12,n0)
& n10 != n13
& n17 = sum(n17,n0)
& n12 != n19
& n6 = sum(n1,n5)
& succ(n12) = n13
& n17 != n19
& n8 = sum(n1,n7)
& n19 = sum(n12,n7)
& n0 = sum(n19,n2)
& n8 = sum(n19,n10)
& n5 = sum(n2,n3)
& n6 = sum(n0,n6)
& n7 = sum(n0,n7)
& n4 != n14
& n1 = sum(n4,n18)
& n13 = sum(n13,n0)
& n10 = pred(n11)
& n4 = sum(n19,n6)
& n15 = sum(n9,n6)
& n16 = sum(n6,n10)
& n6 != n19
& n11 = sum(n0,n11)
& n8 = sum(n12,n17)
& n2 = sum(n4,n19)
& n4 = sum(n5,n20)
& n20 = sum(n12,n8)
& n4 != n9
& n11 = sum(n17,n15)
& n7 != n15
& n13 != n14
& n0 != n12
& n0 != n10
& n11 = sum(n2,n9)
& n5 = sum(n0,n5)
& n7 = sum(n2,n5)
& n3 != n13
& n4 = sum(n6,n19)
& n13 = sum(n3,n10)
& n4 = sum(n3,n1)
& n7 = sum(n14,n14)
& n7 != n20
& n11 != n17
& n13 = sum(n11,n2)
& n1 != n13
& n1 != n6
& n0 != n6
& n2 != n10
& n0 = sum(n4,n17)
& n11 != n13
& succ(n16) = n17
& n9 = sum(n20,n10)
& n1 = pred(n2)
& n10 = sum(n5,n5)
& n4 = sum(n15,n10)
& n9 = sum(n7,n2)
& n1 != n2
& n0 != n14
& n12 = pred(n13)
& n19 = sum(n3,n16)
& n18 = sum(n20,n19)
& n6 = sum(n15,n12)
& n9 = sum(n12,n18)
& n12 = sum(n14,n19)
& n5 = sum(n20,n6)
& n7 = sum(n8,n20)
& succ(n14) = n15
& n6 != n15
& n10 != n15
& n19 = pred(n20)
& n20 = sum(n18,n2)
& n17 = sum(n15,n2)
& n20 = sum(n4,n16)
& n17 = sum(n19,n19)
& n5 != n7
& n5 != n17
& n0 = sum(n1,n20)
& n11 = sum(n11,n0)
& n3 != n17
& n16 = sum(n13,n3)
& n3 = sum(n8,n16)
& n2 != n9
& n3 != n15
& n0 != n15
& n8 = sum(n9,n20)
& n2 = sum(n17,n6)
& n18 = sum(n10,n8)
& n19 = sum(n15,n4)
& n13 != n18
& n3 != n18
& n11 = sum(n16,n16)
& succ(n0) = n1
& n14 = sum(n3,n11)
& n2 = sum(n0,n2)
& n9 = sum(n2,n7)
& n3 != n11
& n7 = sum(n13,n15)
& n2 = sum(n7,n16)
& n11 = sum(n8,n3)
& succ(n2) = n3
& n8 = sum(n5,n3)
& n6 != n8
& n10 = sum(n3,n7)
& n3 != n14
& n13 = sum(n12,n1)
& n6 != n16
& n16 = sum(n8,n8)
& n14 = sum(n14,n0)
& n0 != n11
& n2 = pred(n3)
& n13 = sum(n0,n13)
& n11 = sum(n5,n6)
& n5 = sum(n15,n11)
& n10 = sum(n14,n17)
& n0 != n2
& n20 = sum(n16,n4)
& n6 = sum(n8,n19)
& n6 = sum(n5,n1)
& n9 != n17
& n5 = sum(n19,n7)
& n9 != n19
& n12 = sum(n10,n2)
& n8 != n15
& n13 = sum(n10,n3)
& n12 = sum(n20,n13)
& n0 != n7
& n8 = sum(n4,n4)
& n0 != n13
& n6 != n11
& n16 = sum(n16,n0)
& n17 = sum(n18,n20)
& n15 = sum(n4,n11)
& n16 = sum(n20,n17)
& n11 != n18
& n5 != n8
& n11 = sum(n4,n7)
& n3 != n10
& n7 != n9
& n15 = sum(n5,n10)
& n2 != n3
& n0 = sum(n18,n3)
& n7 != n17
& n4 = sum(n1,n3)
& n0 != n18
& n9 = sum(n17,n13)
& n10 = sum(n15,n16)
& n18 = sum(n17,n1)
& n5 != n11
& n8 != n9
& n11 = sum(n10,n1)
& n0 = sum(n6,n15)
& n19 = sum(n1,n18)
& n20 = sum(n2,n18)
& n6 = sum(n13,n14)
& n2 = sum(n12,n11)
& n2 = sum(n8,n15)
& n6 = sum(n19,n8)
& n4 = pred(n5)
& n3 = sum(n11,n13)
& n12 != n14
& n13 = sum(n16,n18)
& n10 != n12
& n9 != n15
& n7 = sum(n15,n13)
& n19 = sum(n20,n20)
& n12 = sum(n4,n8)
& n8 != n11
& n6 = sum(n11,n16)
& n13 = sum(n19,n15)
& succ(n10) = n11
& n9 != n13
& n12 = sum(n11,n1)
& n5 = sum(n6,n20)
& n3 = sum(n19,n5)
& n6 != n14
& n3 != n6
& n7 = sum(n4,n3)
& n13 = sum(n17,n17)
& n16 = sum(n10,n6)
& n16 != n19
& n10 = sum(n20,n11)
& n5 != n12
& n11 = sum(n7,n4)
& n7 = sum(n19,n9)
& n14 != n18
& n10 = sum(n18,n13)
& n9 = sum(n16,n14)
& n2 != n5
& n2 = sum(n9,n14)
& n14 = sum(n10,n4)
& n8 = sum(n14,n15)
& n2 != n17
& n13 = sum(n5,n8)
& n7 = sum(n12,n16)
& n14 != n17
& n8 != n10
& n9 != n12
& n18 != n20
& n2 != n8
& n5 = sum(n11,n15)
& n5 = sum(n1,n4)
& n13 = sum(n15,n19)
& n8 = sum(n17,n12)
& n0 != n1
& n17 = sum(n5,n12)
& n6 != n12
& n8 != n17
& n2 != n12
& n14 = sum(n2,n12)
& n5 != n14
& n2 = sum(n20,n3)
& n1 != n11
& n18 = sum(n11,n7)
& n8 = sum(n20,n9)
& n10 = sum(n11,n20)
& n20 = sum(n1,n19)
& n1 != n19
& n5 = sum(n13,n13)
& n6 = sum(n12,n15)
& n2 = sum(n19,n4)
& n8 != n20
& n18 = sum(n15,n3)
& n19 = sum(n9,n10)
& n20 = sum(n0,n20)
& n0 = sum(n5,n16)
& n5 != n19
& n13 != n19
& n10 = sum(n2,n8)
& n1 = sum(n2,n20)
& n10 = sum(n0,n10)
& n5 = sum(n14,n12)
& n3 = sum(n6,n18)
& n2 = sum(n10,n13)
& n10 = sum(n10,n0)
& n7 = sum(n1,n6)
& n13 = sum(n14,n20)
& n6 != n20
& n9 = sum(n3,n6)
& n15 = sum(n2,n13)
& n14 = sum(n8,n6)
& ( n11 = X1
| n15 = X1
| n14 = X1
| n8 = X1
| n13 = X1
| n1 = X1
| n0 = X1
| n10 = X1
| n9 = X1
| n4 = X1
| n16 = X1
| n7 = X1
| n17 = X1
| n2 = X1
| n6 = X1
| n18 = X1
| n5 = X1
| n19 = X1
| n3 = X1
| n12 = X1
| n20 = X1 )
& n14 = sum(n1,n13)
& n8 = sum(n8,n0)
& succ(n18) = n19
& n1 = sum(n6,n16)
& n1 != n20
& succ(n15) = n16
& n13 = sum(n8,n5)
& n18 = sum(n2,n16)
& n15 = sum(n8,n7)
& n10 = sum(n9,n1)
& n0 = sum(n11,n10)
& n13 != n15
& n15 != n18
& n11 = sum(n12,n20)
& n3 = sum(n2,n1)
& n11 != n16
& n11 != n19
& n0 = sum(n9,n12)
& n1 = sum(n20,n2)
& n15 = sum(n0,n15)
& n8 = sum(n2,n6)
& n1 = sum(n10,n12)
& n7 != n12
& n18 = sum(n7,n11)
& n9 != n16
& n6 = sum(n4,n2)
& n20 = sum(n9,n11)
& n11 = sum(n20,n12)
& n9 = sum(n0,n9)
& n17 = sum(n20,n18)
& n2 = sum(n2,n0)
& n9 = sum(n10,n20)
& n8 = sum(n10,n19)
& n17 = sum(n16,n1)
& n6 = sum(n17,n10)
& n6 != n7
& n9 != n20
& n12 = sum(n16,n17)
& n9 = sum(n11,n19) )
=> ( succ(n9) = n10
& n19 = sum(n8,n11)
& n1 = sum(n15,n7)
& n12 = sum(n3,n9)
& n15 = sum(n1,n14)
& n1 != n10
& n9 = pred(n10)
& succ(n5) = n6
& n8 = sum(n16,n13)
& n11 = sum(n13,n19)
& n2 = sum(n16,n7)
& n3 = pred(n4)
& n4 = sum(n16,n9)
& n7 != n14
& n5 != n15
& n15 = sum(n13,n2)
& n14 = sum(n16,n19)
& n8 = sum(n15,n14)
& n12 != n20
& n13 != n17
& n15 = sum(n18,n18)
& n8 != n18
& succ(n1) = n2
& n13 = sum(n9,n4)
& n19 = sum(n13,n6)
& n1 = sum(n17,n5)
& n9 = sum(n1,n8)
& n17 = sum(n11,n6)
& n3 != n9
& n8 = sum(n3,n5)
& n20 = sum(n20,n0)
& n7 = sum(n20,n8)
& n17 != n18
& n1 != n4
& n3 = sum(n0,n3)
& n15 != n16
& n4 != n13
& n5 != n13
& n6 = sum(n16,n11)
& n18 != n19
& n19 = sum(n17,n2)
& n1 = sum(n8,n14)
& succ(n17) = n18
& n14 = sum(n15,n20)
& n6 != n18
& n5 = sum(n3,n2)
& n6 = sum(n6,n0)
& n10 != n16
& n17 = pred(n18)
& n0 = sum(n17,n4)
& n16 = sum(n5,n11)
& n16 = sum(n7,n9)
& n4 != n6
& n20 = sum(n15,n5)
& n4 != n10
& n3 = sum(n13,n11)
& n4 = sum(n13,n12)
& n5 = sum(n18,n8)
& succ(n11) = n12
& n14 = sum(n4,n10)
& n12 = sum(n2,n10)
& n9 = sum(n8,n1)
& n17 = sum(n8,n9)
& n0 != n3
& n10 != n11
& n3 = sum(n18,n6)
& n14 = sum(n11,n3)
& n19 = sum(n11,n8)
& n4 != n16
& n12 = sum(n19,n14)
& n3 != n12
& n12 = sum(n9,n3)
& n13 = sum(n20,n14)
& n16 = sum(n1,n15)
& n7 != n10
& n4 = sum(n14,n11)
& n4 != n5
& n9 = sum(n4,n5)
& n17 = sum(n7,n10)
& n8 = sum(n18,n11)
& n13 = sum(n7,n6)
& n3 = sum(n7,n17)
& n18 = sum(n3,n15)
& n4 = sum(n8,n17)
& n17 != n20
& n15 = sum(n10,n5)
& n16 = sum(n17,n20)
& n18 = sum(n16,n2)
& n6 != n9
& n5 = sum(n12,n14)
& n19 = sum(n6,n13)
& n1 != n14
& n7 = pred(n8)
& n17 = sum(n13,n4)
& n1 = sum(n9,n13)
& n14 = sum(n18,n17)
& n0 = sum(n14,n7)
& n18 = sum(n12,n6)
& n9 = sum(n18,n12)
& n14 != n16
& n12 = sum(n7,n5)
& n0 = pred(n1)
& n10 = sum(n13,n18)
& n17 = sum(n3,n14)
& n7 = sum(n17,n11)
& n0 != n5
& n5 != n10
& n5 != n6
& n20 = sum(n17,n3)
& n18 = sum(n19,n20)
& n4 != n8
& n20 = sum(n19,n1)
& n0 = sum(n8,n13)
& n6 = sum(n18,n9)
& n9 = sum(n9,n0)
& n16 != n18
& n2 != n7
& n5 = sum(n17,n9)
& n12 = sum(n18,n15)
& n0 = succ(n20)
& n2 != n14
& n20 = sum(n6,n14)
& n2 = sum(n5,n18)
& n17 = sum(n4,n13)
& n15 != n17
& n2 = sum(n14,n9)
& n0 != n17
& n16 = sum(n19,n18)
& n12 = sum(n13,n20)
& n10 = sum(n7,n3)
& n16 = sum(n2,n14)
& n7 = sum(n7,n0)
& succ(n4) = n5
& n4 = sum(n9,n16)
& n6 != n17
& n14 != n20
& n0 != n16
& n14 = pred(n15)
& n10 = sum(n17,n14)
& n16 = sum(n14,n2)
& n16 = sum(n3,n13)
& n19 = sum(n10,n9)
& n14 = sum(n5,n9)
& n2 = sum(n3,n20)
& n5 = sum(n5,n0)
& n0 != n19
& n3 = sum(n5,n19)
& n17 = sum(n12,n5)
& n0 != n20
& n11 = sum(n3,n8)
& n13 != n16
& n10 != n14
& n19 = sum(n0,n19)
& n3 = sum(n12,n12)
& n9 = sum(n6,n3)
& n1 = sum(n5,n17)
& n10 != n20
& n4 != n20
& n18 = sum(n14,n4)
& n12 = sum(n1,n11)
& n3 = sum(n16,n8)
& n16 = sum(n12,n4)
& n12 = sum(n17,n16)
& n7 = sum(n5,n2)
& n5 = sum(n8,n18)
& n18 = sum(n5,n13)
& n6 = sum(n2,n4)
& n11 != n15
& n20 = sum(n5,n15)
& n5 = pred(n6)
& n7 = sum(n3,n4)
& n0 = sum(n2,n19)
& n11 != n12
& n3 != n5
& n6 = sum(n20,n7)
& n3 = sum(n4,n20)
& n13 = sum(n1,n12)
& n11 = sum(n9,n2)
& n7 = sum(n9,n19)
& n7 = sum(n18,n10)
& n6 = pred(n7)
& n4 != n12
& n1 != n9
& n15 = sum(n3,n12)
& n5 != n9
& n3 = sum(n14,n10)
& n5 != n18
& n2 = sum(n13,n10)
& n12 = sum(n5,n7)
& n0 = sum(n20,n1)
& n8 = sum(n0,n8)
& succ(n19) = n20
& n3 != n20
& n12 = sum(n0,n12)
& n6 = sum(n7,n20)
& n14 = sum(n19,n16)
& n2 != n19
& succ(n13) = n14
& n3 = sum(n17,n7)
& n19 = sum(n18,n1)
& n11 = sum(n19,n13)
& n10 = sum(n16,n15)
& n11 != n20
& n14 = sum(n6,n8)
& n5 != n16
& n17 = sum(n9,n8)
& n16 != n20
& n3 != n4
& n15 = sum(n11,n4)
& n3 = sum(n15,n9)
& n4 = sum(n2,n2)
& n10 = sum(n19,n12)
& n11 != n14
& n9 = sum(n14,n16)
& n8 != n19
& n19 = sum(n2,n17)
& n8 = sum(n7,n1)
& n9 = sum(n19,n11)
& n15 = sum(n14,n1)
& n7 != n18
& n15 = sum(n6,n9)
& n2 != n20
& n4 = sum(n20,n5)
& n1 = sum(n16,n6)
& n8 != n14
& succ(n8) = n9
& n15 = sum(n7,n8)
& n7 = sum(n11,n17)
& n16 = sum(n0,n16)
& n1 = sum(n11,n11)
& n4 = sum(n7,n18)
& n16 != n17
& n0 = sum(n15,n6)
& n10 != n19
& n3 != n7
& n10 = sum(n4,n6)
& n18 = sum(n1,n17)
& n20 = sum(n13,n7)
& n9 != n18
& n4 = sum(n11,n14)
& n6 = sum(n10,n17)
& n1 != n17
& succ(n6) = n7
& n0 != n9
& n3 = sum(n1,n2)
& n13 = pred(n14)
& n4 = sum(n17,n8)
& n10 = sum(n12,n19)
& n8 = sum(n6,n2)
& n16 = sum(n18,n19)
& n20 = sum(n3,n17)
& n1 = sum(n1,n0)
& succ(n3) = n4
& n8 != n13
& n5 != n20
& n7 = sum(n16,n12)
& n2 = sum(n6,n17)
& n2 != n16
& n1 = sum(n3,n19)
& n1 = sum(n12,n10)
& n4 = sum(n0,n4)
& n0 = sum(n16,n5)
& n4 != n18
& n2 = sum(n15,n8)
& n1 = sum(n7,n15)
& n12 != n18
& n2 = sum(n1,n1)
& n9 != n10
& n17 = sum(n14,n3)
& n17 = sum(n6,n11)
& n4 = sum(n18,n7)
& n16 = sum(n15,n1)
& n3 = sum(n3,n0)
& n3 = sum(n9,n15)
& n14 = sum(n9,n5)
& n1 = sum(n14,n8)
& n7 != n8
& n8 = sum(n11,n18)
& n13 = sum(n4,n9)
& n2 = sum(n18,n5)
& n6 = sum(n3,n3)
& n15 = pred(n16)
& n2 = sum(n11,n12)
& n6 != n10
& n3 = sum(n20,n4)
& n8 != n12
& n8 = sum(n13,n16)
& n9 = sum(n5,n4)
& n13 = sum(n6,n7)
& n3 != n19
& n15 = sum(n12,n3)
& n1 != n18
& n18 = sum(n18,n0)
& n0 = sum(n10,n11)
& n2 != n15
& n15 = sum(n20,n16)
& n19 = sum(n4,n15)
& n15 = sum(n17,n19)
& n4 != n15
& n19 = sum(n5,n14)
& n2 != n11
& n1 = sum(n0,n1)
& n2 != n6
& n11 = sum(n1,n10)
& n14 = sum(n7,n7)
& n12 != n13
& n10 = sum(n8,n2)
& ( n7 = sK0
| n0 = sK0
| n9 = sK0
| n5 = sK0
| n10 = sK0
| n19 = sK0
| n14 = sK0
| n13 = sK0
| n16 = sK0
| n2 = sK0
| n4 = sK0
| n17 = sK0
| n8 = sK0
| n12 = sK0
| n20 = sK0
| n18 = sK0
| n15 = sK0
| n6 = sK0
| n1 = sK0
| n11 = sK0
| n3 = sK0 )
& n18 = sum(n8,n10)
& n12 != n15
& n0 = sum(n13,n8)
& n14 = sum(n12,n2)
& n17 = sum(n2,n15)
& n4 != n17
& n13 = sum(n18,n16)
& n10 = sum(n1,n9)
& n11 = sum(n15,n17)
& n19 = sum(n16,n3)
& n2 != n18
& n5 = sum(n7,n19)
& n11 = sum(n6,n5)
& n12 = sum(n8,n4)
& n4 != n7
& n14 = sum(n17,n18)
& n12 != n16
& n0 = sum(n3,n18)
& n1 = sum(n18,n4)
& n1 != n8
& n4 = sum(n12,n13)
& n6 = sum(n9,n18)
& n5 = sum(n9,n17)
& n2 != n13
& n14 = sum(n13,n1)
& n18 = sum(n0,n18)
& n1 != n15
& n9 != n14
& n19 != n20
& n7 != n13
& n5 = sum(n10,n16)
& n3 != n8
& n4 != n11
& n20 = pred(n0)
& n18 = sum(n9,n9)
& n17 = sum(n0,n17)
& n14 = sum(n20,n15)
& n8 != n16
& n16 = sum(n11,n5)
& n1 != n7
& n14 = sum(n0,n14)
& n18 = pred(n19)
& n6 = sum(n14,n13)
& n0 != n4
& n11 = pred(n12)
& sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))
& n0 = sum(n7,n14)
& n9 != n11
& n1 = sum(n13,n9)
& n3 = sum(n10,n14)
& n7 != n16
& n10 != n18
& n11 = sum(n14,n18)
& n14 != n19
& n15 = sum(n19,n17)
& n20 = sum(n8,n12)
& n15 = sum(n16,n20)
& n0 = sum(n12,n9)
& n8 = pred(n9)
& n1 != n12
& n10 = sum(n6,n4)
& n4 = sum(n10,n15)
& n12 != n17
& n0 != n8
& n5 = sum(n16,n10)
& n13 = sum(n2,n11)
& n9 = sum(n13,n17)
& n20 = sum(n10,n10)
& n19 = sum(n19,n0)
& n17 = sum(n1,n16)
& n4 != n19
& n18 = sum(n6,n12)
& n3 != n16
& n9 = sum(n15,n15)
& n20 = sum(n14,n6)
& n12 = sum(n6,n6)
& n2 != n4
& n18 = sum(n13,n5)
& n13 != n20
& n12 = sum(n15,n18)
& n7 = sum(n6,n1)
& n18 = sum(n4,n14)
& n15 != n20
& n17 = sum(n10,n7)
& n1 = sum(n19,n3)
& n16 = sum(n9,n7)
& n20 = sum(n11,n9)
& n7 != n11
& n11 = sum(n18,n14)
& succ(n7) = n8
& n6 != n13
& n16 = sum(n4,n12)
& n5 = sum(n4,n1)
& n19 = sum(n14,n5)
& n20 = sum(n7,n13)
& n0 = sum(n0,n0)
& n7 = sum(n10,n18)
& n1 != n5
& n7 != n19
& n15 = sum(n15,n0)
& n1 != n3
& n4 = sum(n4,n0)
& n1 != n16
& n16 = pred(n17)
& n19 = sum(n7,n12)
& n14 != n15
& n15 != n19
& n10 != n17
& n12 = sum(n12,n0)
& n10 != n13
& n17 = sum(n17,n0)
& n12 != n19
& n6 = sum(n1,n5)
& succ(n12) = n13
& n17 != n19
& n8 = sum(n1,n7)
& n19 = sum(n12,n7)
& n0 = sum(n19,n2)
& n8 = sum(n19,n10)
& n5 = sum(n2,n3)
& n6 = sum(n0,n6)
& n7 = sum(n0,n7)
& n4 != n14
& n1 = sum(n4,n18)
& n13 = sum(n13,n0)
& n10 = pred(n11)
& n4 = sum(n19,n6)
& n15 = sum(n9,n6)
& n16 = sum(n6,n10)
& n6 != n19
& n11 = sum(n0,n11)
& n8 = sum(n12,n17)
& n2 = sum(n4,n19)
& n4 = sum(n5,n20)
& n20 = sum(n12,n8)
& n4 != n9
& n11 = sum(n17,n15)
& n7 != n15
& n13 != n14
& n0 != n12
& n0 != n10
& n11 = sum(n2,n9)
& n5 = sum(n0,n5)
& n7 = sum(n2,n5)
& n3 != n13
& n4 = sum(n6,n19)
& n13 = sum(n3,n10)
& n4 = sum(n3,n1)
& n7 = sum(n14,n14)
& n7 != n20
& n11 != n17
& n13 = sum(n11,n2)
& n1 != n13
& n1 != n6
& n0 != n6
& n2 != n10
& n0 = sum(n4,n17)
& n11 != n13
& succ(n16) = n17
& n9 = sum(n20,n10)
& n1 = pred(n2)
& n10 = sum(n5,n5)
& n4 = sum(n15,n10)
& n9 = sum(n7,n2)
& n1 != n2
& n0 != n14
& n12 = pred(n13)
& n19 = sum(n3,n16)
& n18 = sum(n20,n19)
& n6 = sum(n15,n12)
& n9 = sum(n12,n18)
& n12 = sum(n14,n19)
& n5 = sum(n20,n6)
& n7 = sum(n8,n20)
& succ(n14) = n15
& n6 != n15
& n10 != n15
& n19 = pred(n20)
& n20 = sum(n18,n2)
& n17 = sum(n15,n2)
& n20 = sum(n4,n16)
& n17 = sum(n19,n19)
& n5 != n7
& n5 != n17
& n0 = sum(n1,n20)
& n11 = sum(n11,n0)
& n3 != n17
& n16 = sum(n13,n3)
& n3 = sum(n8,n16)
& n2 != n9
& n3 != n15
& n0 != n15
& n8 = sum(n9,n20)
& n2 = sum(n17,n6)
& n18 = sum(n10,n8)
& n19 = sum(n15,n4)
& n13 != n18
& n3 != n18
& n11 = sum(n16,n16)
& succ(n0) = n1
& n14 = sum(n3,n11)
& n2 = sum(n0,n2)
& n9 = sum(n2,n7)
& n3 != n11
& n7 = sum(n13,n15)
& n2 = sum(n7,n16)
& n11 = sum(n8,n3)
& succ(n2) = n3
& n8 = sum(n5,n3)
& n6 != n8
& n10 = sum(n3,n7)
& n3 != n14
& n13 = sum(n12,n1)
& n6 != n16
& n16 = sum(n8,n8)
& n14 = sum(n14,n0)
& n0 != n11
& n2 = pred(n3)
& n13 = sum(n0,n13)
& n11 = sum(n5,n6)
& n5 = sum(n15,n11)
& n10 = sum(n14,n17)
& n0 != n2
& n20 = sum(n16,n4)
& n6 = sum(n8,n19)
& n6 = sum(n5,n1)
& n9 != n17
& n5 = sum(n19,n7)
& n9 != n19
& n12 = sum(n10,n2)
& n8 != n15
& n13 = sum(n10,n3)
& n12 = sum(n20,n13)
& n0 != n7
& n8 = sum(n4,n4)
& n0 != n13
& n6 != n11
& n16 = sum(n16,n0)
& n17 = sum(n18,n20)
& n15 = sum(n4,n11)
& n16 = sum(n20,n17)
& n11 != n18
& n5 != n8
& n11 = sum(n4,n7)
& n3 != n10
& n7 != n9
& n15 = sum(n5,n10)
& n2 != n3
& n0 = sum(n18,n3)
& n7 != n17
& n4 = sum(n1,n3)
& n0 != n18
& n9 = sum(n17,n13)
& n10 = sum(n15,n16)
& n18 = sum(n17,n1)
& n5 != n11
& n8 != n9
& n11 = sum(n10,n1)
& n0 = sum(n6,n15)
& n19 = sum(n1,n18)
& n20 = sum(n2,n18)
& n6 = sum(n13,n14)
& n2 = sum(n12,n11)
& n2 = sum(n8,n15)
& n6 = sum(n19,n8)
& n4 = pred(n5)
& n3 = sum(n11,n13)
& n12 != n14
& n13 = sum(n16,n18)
& n10 != n12
& n9 != n15
& n7 = sum(n15,n13)
& n19 = sum(n20,n20)
& n12 = sum(n4,n8)
& n8 != n11
& n6 = sum(n11,n16)
& n13 = sum(n19,n15)
& succ(n10) = n11
& n9 != n13
& n12 = sum(n11,n1)
& n5 = sum(n6,n20)
& n3 = sum(n19,n5)
& n6 != n14
& n3 != n6
& n7 = sum(n4,n3)
& n13 = sum(n17,n17)
& n16 = sum(n10,n6)
& n16 != n19
& n10 = sum(n20,n11)
& n5 != n12
& n11 = sum(n7,n4)
& n7 = sum(n19,n9)
& n14 != n18
& n10 = sum(n18,n13)
& n9 = sum(n16,n14)
& n2 != n5
& n2 = sum(n9,n14)
& n14 = sum(n10,n4)
& n8 = sum(n14,n15)
& n2 != n17
& n13 = sum(n5,n8)
& n7 = sum(n12,n16)
& n14 != n17
& n8 != n10
& n9 != n12
& n18 != n20
& n2 != n8
& n5 = sum(n11,n15)
& n5 = sum(n1,n4)
& n13 = sum(n15,n19)
& n8 = sum(n17,n12)
& n0 != n1
& n17 = sum(n5,n12)
& n6 != n12
& n8 != n17
& n2 != n12
& n14 = sum(n2,n12)
& n5 != n14
& n2 = sum(n20,n3)
& n1 != n11
& n18 = sum(n11,n7)
& n8 = sum(n20,n9)
& n10 = sum(n11,n20)
& n20 = sum(n1,n19)
& n1 != n19
& n5 = sum(n13,n13)
& n6 = sum(n12,n15)
& n2 = sum(n19,n4)
& n8 != n20
& n18 = sum(n15,n3)
& n19 = sum(n9,n10)
& n20 = sum(n0,n20)
& n0 = sum(n5,n16)
& n5 != n19
& n13 != n19
& n10 = sum(n2,n8)
& n1 = sum(n2,n20)
& n10 = sum(n0,n10)
& n5 = sum(n14,n12)
& n3 = sum(n6,n18)
& n2 = sum(n10,n13)
& n10 = sum(n10,n0)
& n7 = sum(n1,n6)
& n13 = sum(n14,n20)
& n6 != n20
& n9 = sum(n3,n6)
& n15 = sum(n2,n13)
& n14 = sum(n8,n6)
& ( n11 = sK1
| n15 = sK1
| n14 = sK1
| n8 = sK1
| n13 = sK1
| n1 = sK1
| n0 = sK1
| n10 = sK1
| n9 = sK1
| n4 = sK1
| n16 = sK1
| n7 = sK1
| n17 = sK1
| n2 = sK1
| n6 = sK1
| n18 = sK1
| n5 = sK1
| n19 = sK1
| n3 = sK1
| n12 = sK1
| n20 = sK1 )
& n14 = sum(n1,n13)
& n8 = sum(n8,n0)
& succ(n18) = n19
& n1 = sum(n6,n16)
& n1 != n20
& succ(n15) = n16
& n13 = sum(n8,n5)
& n18 = sum(n2,n16)
& n15 = sum(n8,n7)
& n10 = sum(n9,n1)
& n0 = sum(n11,n10)
& n13 != n15
& n15 != n18
& n11 = sum(n12,n20)
& n3 = sum(n2,n1)
& n11 != n16
& n11 != n19
& n0 = sum(n9,n12)
& n1 = sum(n20,n2)
& n15 = sum(n0,n15)
& n8 = sum(n2,n6)
& n1 = sum(n10,n12)
& n7 != n12
& n18 = sum(n7,n11)
& n9 != n16
& n6 = sum(n4,n2)
& n20 = sum(n9,n11)
& n11 = sum(n20,n12)
& n9 = sum(n0,n9)
& n17 = sum(n20,n18)
& n2 = sum(n2,n0)
& n9 = sum(n10,n20)
& n8 = sum(n10,n19)
& n17 = sum(n16,n1)
& n6 = sum(n17,n10)
& n6 != n7
& n9 != n20
& n12 = sum(n16,n17)
& n9 = sum(n11,n19) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0,X1] :
( succ(n9) = n10
& n19 = sum(n8,n11)
& n1 = sum(n15,n7)
& n12 = sum(n3,n9)
& n15 = sum(n1,n14)
& n1 != n10
& n9 = pred(n10)
& succ(n5) = n6
& n8 = sum(n16,n13)
& n11 = sum(n13,n19)
& n2 = sum(n16,n7)
& n3 = pred(n4)
& n4 = sum(n16,n9)
& n7 != n14
& n5 != n15
& n15 = sum(n13,n2)
& n14 = sum(n16,n19)
& n8 = sum(n15,n14)
& n12 != n20
& n13 != n17
& n15 = sum(n18,n18)
& n8 != n18
& succ(n1) = n2
& n13 = sum(n9,n4)
& n19 = sum(n13,n6)
& n1 = sum(n17,n5)
& n9 = sum(n1,n8)
& n17 = sum(n11,n6)
& n3 != n9
& n8 = sum(n3,n5)
& n20 = sum(n20,n0)
& n7 = sum(n20,n8)
& n17 != n18
& n1 != n4
& n3 = sum(n0,n3)
& n15 != n16
& n4 != n13
& n5 != n13
& n6 = sum(n16,n11)
& n18 != n19
& n19 = sum(n17,n2)
& n1 = sum(n8,n14)
& succ(n17) = n18
& n14 = sum(n15,n20)
& n6 != n18
& n5 = sum(n3,n2)
& n6 = sum(n6,n0)
& n10 != n16
& n17 = pred(n18)
& n0 = sum(n17,n4)
& n16 = sum(n5,n11)
& n16 = sum(n7,n9)
& n4 != n6
& n20 = sum(n15,n5)
& n4 != n10
& n3 = sum(n13,n11)
& n4 = sum(n13,n12)
& n5 = sum(n18,n8)
& succ(n11) = n12
& n14 = sum(n4,n10)
& n12 = sum(n2,n10)
& n9 = sum(n8,n1)
& n17 = sum(n8,n9)
& n0 != n3
& n10 != n11
& n3 = sum(n18,n6)
& n14 = sum(n11,n3)
& n19 = sum(n11,n8)
& n4 != n16
& n12 = sum(n19,n14)
& n3 != n12
& n12 = sum(n9,n3)
& n13 = sum(n20,n14)
& n16 = sum(n1,n15)
& n7 != n10
& n4 = sum(n14,n11)
& n4 != n5
& n9 = sum(n4,n5)
& n17 = sum(n7,n10)
& n8 = sum(n18,n11)
& n13 = sum(n7,n6)
& n3 = sum(n7,n17)
& n18 = sum(n3,n15)
& n4 = sum(n8,n17)
& n17 != n20
& n15 = sum(n10,n5)
& n16 = sum(n17,n20)
& n18 = sum(n16,n2)
& n6 != n9
& n5 = sum(n12,n14)
& n19 = sum(n6,n13)
& n1 != n14
& n7 = pred(n8)
& n17 = sum(n13,n4)
& n1 = sum(n9,n13)
& n14 = sum(n18,n17)
& n0 = sum(n14,n7)
& n18 = sum(n12,n6)
& n9 = sum(n18,n12)
& n14 != n16
& n12 = sum(n7,n5)
& n0 = pred(n1)
& n10 = sum(n13,n18)
& n17 = sum(n3,n14)
& n7 = sum(n17,n11)
& n0 != n5
& n5 != n10
& n5 != n6
& n20 = sum(n17,n3)
& n18 = sum(n19,n20)
& n4 != n8
& n20 = sum(n19,n1)
& n0 = sum(n8,n13)
& n6 = sum(n18,n9)
& n9 = sum(n9,n0)
& n16 != n18
& n2 != n7
& n5 = sum(n17,n9)
& n12 = sum(n18,n15)
& n0 = succ(n20)
& n2 != n14
& n20 = sum(n6,n14)
& n2 = sum(n5,n18)
& n17 = sum(n4,n13)
& n15 != n17
& n2 = sum(n14,n9)
& n0 != n17
& n16 = sum(n19,n18)
& n12 = sum(n13,n20)
& n10 = sum(n7,n3)
& n16 = sum(n2,n14)
& n7 = sum(n7,n0)
& succ(n4) = n5
& n4 = sum(n9,n16)
& n6 != n17
& n14 != n20
& n0 != n16
& n14 = pred(n15)
& n10 = sum(n17,n14)
& n16 = sum(n14,n2)
& n16 = sum(n3,n13)
& n19 = sum(n10,n9)
& n14 = sum(n5,n9)
& n2 = sum(n3,n20)
& n5 = sum(n5,n0)
& n0 != n19
& n3 = sum(n5,n19)
& n17 = sum(n12,n5)
& n0 != n20
& n11 = sum(n3,n8)
& n13 != n16
& n10 != n14
& n19 = sum(n0,n19)
& n3 = sum(n12,n12)
& n9 = sum(n6,n3)
& n1 = sum(n5,n17)
& n10 != n20
& n4 != n20
& n18 = sum(n14,n4)
& n12 = sum(n1,n11)
& n3 = sum(n16,n8)
& n16 = sum(n12,n4)
& n12 = sum(n17,n16)
& n7 = sum(n5,n2)
& n5 = sum(n8,n18)
& n18 = sum(n5,n13)
& n6 = sum(n2,n4)
& n11 != n15
& n20 = sum(n5,n15)
& n5 = pred(n6)
& n7 = sum(n3,n4)
& n0 = sum(n2,n19)
& n11 != n12
& n3 != n5
& n6 = sum(n20,n7)
& n3 = sum(n4,n20)
& n13 = sum(n1,n12)
& n11 = sum(n9,n2)
& n7 = sum(n9,n19)
& n7 = sum(n18,n10)
& n6 = pred(n7)
& n4 != n12
& n1 != n9
& n15 = sum(n3,n12)
& n5 != n9
& n3 = sum(n14,n10)
& n5 != n18
& n2 = sum(n13,n10)
& n12 = sum(n5,n7)
& n0 = sum(n20,n1)
& n8 = sum(n0,n8)
& succ(n19) = n20
& n3 != n20
& n12 = sum(n0,n12)
& n6 = sum(n7,n20)
& n14 = sum(n19,n16)
& n2 != n19
& succ(n13) = n14
& n3 = sum(n17,n7)
& n19 = sum(n18,n1)
& n11 = sum(n19,n13)
& n10 = sum(n16,n15)
& n11 != n20
& n14 = sum(n6,n8)
& n5 != n16
& n17 = sum(n9,n8)
& n16 != n20
& n3 != n4
& n15 = sum(n11,n4)
& n3 = sum(n15,n9)
& n4 = sum(n2,n2)
& n10 = sum(n19,n12)
& n11 != n14
& n9 = sum(n14,n16)
& n8 != n19
& n19 = sum(n2,n17)
& n8 = sum(n7,n1)
& n9 = sum(n19,n11)
& n15 = sum(n14,n1)
& n7 != n18
& n15 = sum(n6,n9)
& n2 != n20
& n4 = sum(n20,n5)
& n1 = sum(n16,n6)
& n8 != n14
& succ(n8) = n9
& n15 = sum(n7,n8)
& n7 = sum(n11,n17)
& n16 = sum(n0,n16)
& n1 = sum(n11,n11)
& n4 = sum(n7,n18)
& n16 != n17
& n0 = sum(n15,n6)
& n10 != n19
& n3 != n7
& n10 = sum(n4,n6)
& n18 = sum(n1,n17)
& n20 = sum(n13,n7)
& n9 != n18
& n4 = sum(n11,n14)
& n6 = sum(n10,n17)
& n1 != n17
& succ(n6) = n7
& n0 != n9
& n3 = sum(n1,n2)
& n13 = pred(n14)
& n4 = sum(n17,n8)
& n10 = sum(n12,n19)
& n8 = sum(n6,n2)
& n16 = sum(n18,n19)
& n20 = sum(n3,n17)
& n1 = sum(n1,n0)
& succ(n3) = n4
& n8 != n13
& n5 != n20
& n7 = sum(n16,n12)
& n2 = sum(n6,n17)
& n2 != n16
& n1 = sum(n3,n19)
& n1 = sum(n12,n10)
& n4 = sum(n0,n4)
& n0 = sum(n16,n5)
& n4 != n18
& n2 = sum(n15,n8)
& n1 = sum(n7,n15)
& n12 != n18
& n2 = sum(n1,n1)
& n9 != n10
& n17 = sum(n14,n3)
& n17 = sum(n6,n11)
& n4 = sum(n18,n7)
& n16 = sum(n15,n1)
& n3 = sum(n3,n0)
& n3 = sum(n9,n15)
& n14 = sum(n9,n5)
& n1 = sum(n14,n8)
& n7 != n8
& n8 = sum(n11,n18)
& n13 = sum(n4,n9)
& n2 = sum(n18,n5)
& n6 = sum(n3,n3)
& n15 = pred(n16)
& n2 = sum(n11,n12)
& n6 != n10
& n3 = sum(n20,n4)
& n8 != n12
& n8 = sum(n13,n16)
& n9 = sum(n5,n4)
& n13 = sum(n6,n7)
& n3 != n19
& n15 = sum(n12,n3)
& n1 != n18
& n18 = sum(n18,n0)
& n0 = sum(n10,n11)
& n2 != n15
& n15 = sum(n20,n16)
& n19 = sum(n4,n15)
& n15 = sum(n17,n19)
& n4 != n15
& n19 = sum(n5,n14)
& n2 != n11
& n1 = sum(n0,n1)
& n2 != n6
& n11 = sum(n1,n10)
& n14 = sum(n7,n7)
& n12 != n13
& n10 = sum(n8,n2)
& ( n7 = X0
| n0 = X0
| n9 = X0
| n5 = X0
| n10 = X0
| n19 = X0
| n14 = X0
| n13 = X0
| n16 = X0
| n2 = X0
| n4 = X0
| n17 = X0
| n8 = X0
| n12 = X0
| n20 = X0
| n18 = X0
| n15 = X0
| n6 = X0
| n1 = X0
| n11 = X0
| n3 = X0 )
& n18 = sum(n8,n10)
& n12 != n15
& n0 = sum(n13,n8)
& n14 = sum(n12,n2)
& n17 = sum(n2,n15)
& n4 != n17
& n13 = sum(n18,n16)
& n10 = sum(n1,n9)
& n11 = sum(n15,n17)
& n19 = sum(n16,n3)
& n2 != n18
& n5 = sum(n7,n19)
& n11 = sum(n6,n5)
& n12 = sum(n8,n4)
& n4 != n7
& n14 = sum(n17,n18)
& n12 != n16
& n0 = sum(n3,n18)
& n1 = sum(n18,n4)
& n1 != n8
& n4 = sum(n12,n13)
& n6 = sum(n9,n18)
& n5 = sum(n9,n17)
& n2 != n13
& n14 = sum(n13,n1)
& n18 = sum(n0,n18)
& n1 != n15
& n9 != n14
& n19 != n20
& n7 != n13
& n5 = sum(n10,n16)
& n3 != n8
& n4 != n11
& n20 = pred(n0)
& n18 = sum(n9,n9)
& n17 = sum(n0,n17)
& n14 = sum(n20,n15)
& n8 != n16
& n16 = sum(n11,n5)
& n1 != n7
& n14 = sum(n0,n14)
& n18 = pred(n19)
& n6 = sum(n14,n13)
& n0 != n4
& n11 = pred(n12)
& sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) != sum(sum(pred(X0),succ(X0)),sum(pred(X1),succ(X1)))
& n0 = sum(n7,n14)
& n9 != n11
& n1 = sum(n13,n9)
& n3 = sum(n10,n14)
& n7 != n16
& n10 != n18
& n11 = sum(n14,n18)
& n14 != n19
& n15 = sum(n19,n17)
& n20 = sum(n8,n12)
& n15 = sum(n16,n20)
& n0 = sum(n12,n9)
& n8 = pred(n9)
& n1 != n12
& n10 = sum(n6,n4)
& n4 = sum(n10,n15)
& n12 != n17
& n0 != n8
& n5 = sum(n16,n10)
& n13 = sum(n2,n11)
& n9 = sum(n13,n17)
& n20 = sum(n10,n10)
& n19 = sum(n19,n0)
& n17 = sum(n1,n16)
& n4 != n19
& n18 = sum(n6,n12)
& n3 != n16
& n9 = sum(n15,n15)
& n20 = sum(n14,n6)
& n12 = sum(n6,n6)
& n2 != n4
& n18 = sum(n13,n5)
& n13 != n20
& n12 = sum(n15,n18)
& n7 = sum(n6,n1)
& n18 = sum(n4,n14)
& n15 != n20
& n17 = sum(n10,n7)
& n1 = sum(n19,n3)
& n16 = sum(n9,n7)
& n20 = sum(n11,n9)
& n7 != n11
& n11 = sum(n18,n14)
& succ(n7) = n8
& n6 != n13
& n16 = sum(n4,n12)
& n5 = sum(n4,n1)
& n19 = sum(n14,n5)
& n20 = sum(n7,n13)
& n0 = sum(n0,n0)
& n7 = sum(n10,n18)
& n1 != n5
& n7 != n19
& n15 = sum(n15,n0)
& n1 != n3
& n4 = sum(n4,n0)
& n1 != n16
& n16 = pred(n17)
& n19 = sum(n7,n12)
& n14 != n15
& n15 != n19
& n10 != n17
& n12 = sum(n12,n0)
& n10 != n13
& n17 = sum(n17,n0)
& n12 != n19
& n6 = sum(n1,n5)
& succ(n12) = n13
& n17 != n19
& n8 = sum(n1,n7)
& n19 = sum(n12,n7)
& n0 = sum(n19,n2)
& n8 = sum(n19,n10)
& n5 = sum(n2,n3)
& n6 = sum(n0,n6)
& n7 = sum(n0,n7)
& n4 != n14
& n1 = sum(n4,n18)
& n13 = sum(n13,n0)
& n10 = pred(n11)
& n4 = sum(n19,n6)
& n15 = sum(n9,n6)
& n16 = sum(n6,n10)
& n6 != n19
& n11 = sum(n0,n11)
& n8 = sum(n12,n17)
& n2 = sum(n4,n19)
& n4 = sum(n5,n20)
& n20 = sum(n12,n8)
& n4 != n9
& n11 = sum(n17,n15)
& n7 != n15
& n13 != n14
& n0 != n12
& n0 != n10
& n11 = sum(n2,n9)
& n5 = sum(n0,n5)
& n7 = sum(n2,n5)
& n3 != n13
& n4 = sum(n6,n19)
& n13 = sum(n3,n10)
& n4 = sum(n3,n1)
& n7 = sum(n14,n14)
& n7 != n20
& n11 != n17
& n13 = sum(n11,n2)
& n1 != n13
& n1 != n6
& n0 != n6
& n2 != n10
& n0 = sum(n4,n17)
& n11 != n13
& succ(n16) = n17
& n9 = sum(n20,n10)
& n1 = pred(n2)
& n10 = sum(n5,n5)
& n4 = sum(n15,n10)
& n9 = sum(n7,n2)
& n1 != n2
& n0 != n14
& n12 = pred(n13)
& n19 = sum(n3,n16)
& n18 = sum(n20,n19)
& n6 = sum(n15,n12)
& n9 = sum(n12,n18)
& n12 = sum(n14,n19)
& n5 = sum(n20,n6)
& n7 = sum(n8,n20)
& succ(n14) = n15
& n6 != n15
& n10 != n15
& n19 = pred(n20)
& n20 = sum(n18,n2)
& n17 = sum(n15,n2)
& n20 = sum(n4,n16)
& n17 = sum(n19,n19)
& n5 != n7
& n5 != n17
& n0 = sum(n1,n20)
& n11 = sum(n11,n0)
& n3 != n17
& n16 = sum(n13,n3)
& n3 = sum(n8,n16)
& n2 != n9
& n3 != n15
& n0 != n15
& n8 = sum(n9,n20)
& n2 = sum(n17,n6)
& n18 = sum(n10,n8)
& n19 = sum(n15,n4)
& n13 != n18
& n3 != n18
& n11 = sum(n16,n16)
& succ(n0) = n1
& n14 = sum(n3,n11)
& n2 = sum(n0,n2)
& n9 = sum(n2,n7)
& n3 != n11
& n7 = sum(n13,n15)
& n2 = sum(n7,n16)
& n11 = sum(n8,n3)
& succ(n2) = n3
& n8 = sum(n5,n3)
& n6 != n8
& n10 = sum(n3,n7)
& n3 != n14
& n13 = sum(n12,n1)
& n6 != n16
& n16 = sum(n8,n8)
& n14 = sum(n14,n0)
& n0 != n11
& n2 = pred(n3)
& n13 = sum(n0,n13)
& n11 = sum(n5,n6)
& n5 = sum(n15,n11)
& n10 = sum(n14,n17)
& n0 != n2
& n20 = sum(n16,n4)
& n6 = sum(n8,n19)
& n6 = sum(n5,n1)
& n9 != n17
& n5 = sum(n19,n7)
& n9 != n19
& n12 = sum(n10,n2)
& n8 != n15
& n13 = sum(n10,n3)
& n12 = sum(n20,n13)
& n0 != n7
& n8 = sum(n4,n4)
& n0 != n13
& n6 != n11
& n16 = sum(n16,n0)
& n17 = sum(n18,n20)
& n15 = sum(n4,n11)
& n16 = sum(n20,n17)
& n11 != n18
& n5 != n8
& n11 = sum(n4,n7)
& n3 != n10
& n7 != n9
& n15 = sum(n5,n10)
& n2 != n3
& n0 = sum(n18,n3)
& n7 != n17
& n4 = sum(n1,n3)
& n0 != n18
& n9 = sum(n17,n13)
& n10 = sum(n15,n16)
& n18 = sum(n17,n1)
& n5 != n11
& n8 != n9
& n11 = sum(n10,n1)
& n0 = sum(n6,n15)
& n19 = sum(n1,n18)
& n20 = sum(n2,n18)
& n6 = sum(n13,n14)
& n2 = sum(n12,n11)
& n2 = sum(n8,n15)
& n6 = sum(n19,n8)
& n4 = pred(n5)
& n3 = sum(n11,n13)
& n12 != n14
& n13 = sum(n16,n18)
& n10 != n12
& n9 != n15
& n7 = sum(n15,n13)
& n19 = sum(n20,n20)
& n12 = sum(n4,n8)
& n8 != n11
& n6 = sum(n11,n16)
& n13 = sum(n19,n15)
& succ(n10) = n11
& n9 != n13
& n12 = sum(n11,n1)
& n5 = sum(n6,n20)
& n3 = sum(n19,n5)
& n6 != n14
& n3 != n6
& n7 = sum(n4,n3)
& n13 = sum(n17,n17)
& n16 = sum(n10,n6)
& n16 != n19
& n10 = sum(n20,n11)
& n5 != n12
& n11 = sum(n7,n4)
& n7 = sum(n19,n9)
& n14 != n18
& n10 = sum(n18,n13)
& n9 = sum(n16,n14)
& n2 != n5
& n2 = sum(n9,n14)
& n14 = sum(n10,n4)
& n8 = sum(n14,n15)
& n2 != n17
& n13 = sum(n5,n8)
& n7 = sum(n12,n16)
& n14 != n17
& n8 != n10
& n9 != n12
& n18 != n20
& n2 != n8
& n5 = sum(n11,n15)
& n5 = sum(n1,n4)
& n13 = sum(n15,n19)
& n8 = sum(n17,n12)
& n0 != n1
& n17 = sum(n5,n12)
& n6 != n12
& n8 != n17
& n2 != n12
& n14 = sum(n2,n12)
& n5 != n14
& n2 = sum(n20,n3)
& n1 != n11
& n18 = sum(n11,n7)
& n8 = sum(n20,n9)
& n10 = sum(n11,n20)
& n20 = sum(n1,n19)
& n1 != n19
& n5 = sum(n13,n13)
& n6 = sum(n12,n15)
& n2 = sum(n19,n4)
& n8 != n20
& n18 = sum(n15,n3)
& n19 = sum(n9,n10)
& n20 = sum(n0,n20)
& n0 = sum(n5,n16)
& n5 != n19
& n13 != n19
& n10 = sum(n2,n8)
& n1 = sum(n2,n20)
& n10 = sum(n0,n10)
& n5 = sum(n14,n12)
& n3 = sum(n6,n18)
& n2 = sum(n10,n13)
& n10 = sum(n10,n0)
& n7 = sum(n1,n6)
& n13 = sum(n14,n20)
& n6 != n20
& n9 = sum(n3,n6)
& n15 = sum(n2,n13)
& n14 = sum(n8,n6)
& ( n11 = X1
| n15 = X1
| n14 = X1
| n8 = X1
| n13 = X1
| n1 = X1
| n0 = X1
| n10 = X1
| n9 = X1
| n4 = X1
| n16 = X1
| n7 = X1
| n17 = X1
| n2 = X1
| n6 = X1
| n18 = X1
| n5 = X1
| n19 = X1
| n3 = X1
| n12 = X1
| n20 = X1 )
& n14 = sum(n1,n13)
& n8 = sum(n8,n0)
& succ(n18) = n19
& n1 = sum(n6,n16)
& n1 != n20
& succ(n15) = n16
& n13 = sum(n8,n5)
& n18 = sum(n2,n16)
& n15 = sum(n8,n7)
& n10 = sum(n9,n1)
& n0 = sum(n11,n10)
& n13 != n15
& n15 != n18
& n11 = sum(n12,n20)
& n3 = sum(n2,n1)
& n11 != n16
& n11 != n19
& n0 = sum(n9,n12)
& n1 = sum(n20,n2)
& n15 = sum(n0,n15)
& n8 = sum(n2,n6)
& n1 = sum(n10,n12)
& n7 != n12
& n18 = sum(n7,n11)
& n9 != n16
& n6 = sum(n4,n2)
& n20 = sum(n9,n11)
& n11 = sum(n20,n12)
& n9 = sum(n0,n9)
& n17 = sum(n20,n18)
& n2 = sum(n2,n0)
& n9 = sum(n10,n20)
& n8 = sum(n10,n19)
& n17 = sum(n16,n1)
& n6 = sum(n17,n10)
& n6 != n7
& n9 != n20
& n12 = sum(n16,n17)
& n9 = sum(n11,n19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).
fof(f14357,plain,
( n2 != sum(n1,n1)
| ~ spl2_5
| ~ spl2_25 ),
inference(forward_demodulation,[],[f14356,f95]) ).
fof(f95,plain,
n2 = sum(n9,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f14356,plain,
( sum(n1,n1) != sum(n9,n14)
| ~ spl2_5
| ~ spl2_25 ),
inference(forward_demodulation,[],[f14355,f424]) ).
fof(f424,plain,
n1 = sum(n14,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f14355,plain,
( sum(n9,n14) != sum(sum(n14,n8),n1)
| ~ spl2_5
| ~ spl2_25 ),
inference(forward_demodulation,[],[f14354,f486]) ).
fof(f486,plain,
n9 = sum(n14,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f14354,plain,
( sum(sum(n14,n8),n1) != sum(sum(n14,n16),n14)
| ~ spl2_5
| ~ spl2_25 ),
inference(forward_demodulation,[],[f14353,f562]) ).
fof(f562,plain,
n14 = pred(n15),
inference(cnf_transformation,[],[f3]) ).
fof(f14353,plain,
( sum(sum(pred(n15),n16),n14) != sum(sum(pred(n15),n8),n1)
| ~ spl2_5
| ~ spl2_25 ),
inference(forward_demodulation,[],[f14352,f39]) ).
fof(f39,plain,
n1 = sum(n6,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f14352,plain,
( sum(sum(pred(n15),n16),n14) != sum(sum(pred(n15),n8),sum(n6,n16))
| ~ spl2_5
| ~ spl2_25 ),
inference(forward_demodulation,[],[f14351,f37]) ).
fof(f37,plain,
succ(n15) = n16,
inference(cnf_transformation,[],[f3]) ).
fof(f14351,plain,
( sum(sum(pred(n15),succ(n15)),n14) != sum(sum(pred(n15),n8),sum(n6,succ(n15)))
| ~ spl2_5
| ~ spl2_25 ),
inference(backward_demodulation,[],[f14320,f800]) ).
fof(f800,plain,
( n15 = sK0
| ~ spl2_25 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f798,plain,
( spl2_25
<=> n15 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_25])]) ).
fof(f14320,plain,
( sum(sum(pred(sK0),n8),sum(n6,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n14)
| ~ spl2_5 ),
inference(forward_demodulation,[],[f14319,f496]) ).
fof(f496,plain,
n14 = sum(n6,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f14319,plain,
( sum(sum(pred(sK0),n8),sum(n6,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n6,n8))
| ~ spl2_5 ),
inference(forward_demodulation,[],[f14318,f519]) ).
fof(f519,plain,
n6 = pred(n7),
inference(cnf_transformation,[],[f3]) ).
fof(f14318,plain,
( sum(sum(pred(sK0),n8),sum(pred(n7),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n7),n8))
| ~ spl2_5 ),
inference(forward_demodulation,[],[f14317,f302]) ).
fof(f302,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f3]) ).
fof(f14317,plain,
( sum(sum(pred(sK0),succ(n7)),sum(pred(n7),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n7),succ(n7)))
| ~ spl2_5 ),
inference(forward_demodulation,[],[f346,f719]) ).
fof(f719,plain,
( n7 = sK1
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f717,plain,
( spl2_5
<=> n7 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f346,plain,
sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))),
inference(cnf_transformation,[],[f3]) ).
fof(f14330,plain,
( ~ spl2_5
| ~ spl2_38 ),
inference(avatar_contradiction_clause,[],[f14329]) ).
fof(f14329,plain,
( $false
| ~ spl2_5
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f14328]) ).
fof(f14328,plain,
( n16 != n16
| ~ spl2_5
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14327,f569]) ).
fof(f569,plain,
n16 = sum(n2,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f14327,plain,
( n16 != sum(n2,n14)
| ~ spl2_5
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14326,f177]) ).
fof(f177,plain,
n16 = sum(n8,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f14326,plain,
( sum(n2,n14) != sum(n8,n8)
| ~ spl2_5
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14325,f509]) ).
fof(f509,plain,
n8 = sum(n0,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f14325,plain,
( sum(n2,n14) != sum(sum(n0,n8),n8)
| ~ spl2_5
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14324,f190]) ).
fof(f190,plain,
n2 = sum(n0,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f14324,plain,
( sum(sum(n0,n8),n8) != sum(sum(n0,n2),n14)
| ~ spl2_5
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14323,f598]) ).
fof(f598,plain,
n0 = pred(n1),
inference(cnf_transformation,[],[f3]) ).
fof(f14323,plain,
( sum(sum(pred(n1),n2),n14) != sum(sum(pred(n1),n8),n8)
| ~ spl2_5
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14322,f451]) ).
fof(f451,plain,
n8 = sum(n6,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f14322,plain,
( sum(sum(pred(n1),n2),n14) != sum(sum(pred(n1),n8),sum(n6,n2))
| ~ spl2_5
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14321,f677]) ).
fof(f677,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f3]) ).
fof(f14321,plain,
( sum(sum(pred(n1),succ(n1)),n14) != sum(sum(pred(n1),n8),sum(n6,succ(n1)))
| ~ spl2_5
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14320,f852]) ).
fof(f852,plain,
( n1 = sK0
| ~ spl2_38 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f850,plain,
( spl2_38
<=> n1 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_38])]) ).
fof(f14269,plain,
( ~ spl2_6
| ~ spl2_25 ),
inference(avatar_contradiction_clause,[],[f14268]) ).
fof(f14268,plain,
( $false
| ~ spl2_6
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f14267]) ).
fof(f14267,plain,
( n10 != n10
| ~ spl2_6
| ~ spl2_25 ),
inference(forward_demodulation,[],[f14266,f230]) ).
fof(f230,plain,
n10 = sum(n5,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f14266,plain,
( n10 != sum(n5,n5)
| ~ spl2_6
| ~ spl2_25 ),
inference(forward_demodulation,[],[f14265,f33]) ).
fof(f33,plain,
n10 = sum(n9,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f14265,plain,
( sum(n5,n5) != sum(n9,n1)
| ~ spl2_6
| ~ spl2_25 ),
inference(forward_demodulation,[],[f14264,f53]) ).
fof(f53,plain,
n5 = sum(n14,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f14264,plain,
( sum(n9,n1) != sum(sum(n14,n12),n5)
| ~ spl2_6
| ~ spl2_25 ),
inference(forward_demodulation,[],[f14263,f486]) ).
fof(f14263,plain,
( sum(sum(n14,n12),n5) != sum(sum(n14,n16),n1)
| ~ spl2_6
| ~ spl2_25 ),
inference(forward_demodulation,[],[f14262,f562]) ).
fof(f14262,plain,
( sum(sum(pred(n15),n16),n1) != sum(sum(pred(n15),n12),n5)
| ~ spl2_6
| ~ spl2_25 ),
inference(forward_demodulation,[],[f14261,f361]) ).
fof(f361,plain,
n5 = sum(n10,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f14261,plain,
( sum(sum(pred(n15),n16),n1) != sum(sum(pred(n15),n12),sum(n10,n16))
| ~ spl2_6
| ~ spl2_25 ),
inference(forward_demodulation,[],[f14260,f37]) ).
fof(f14260,plain,
( sum(sum(pred(n15),n12),sum(n10,succ(n15))) != sum(sum(pred(n15),succ(n15)),n1)
| ~ spl2_6
| ~ spl2_25 ),
inference(backward_demodulation,[],[f14238,f800]) ).
fof(f14238,plain,
( sum(sum(pred(sK0),succ(sK0)),n1) != sum(sum(pred(sK0),n12),sum(n10,succ(sK0)))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f14237,f21]) ).
fof(f21,plain,
n1 = sum(n10,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f14237,plain,
( sum(sum(pred(sK0),n12),sum(n10,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n10,n12))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f14236,f266]) ).
fof(f266,plain,
n10 = pred(n11),
inference(cnf_transformation,[],[f3]) ).
fof(f14236,plain,
( sum(sum(pred(sK0),n12),sum(pred(n11),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n11),n12))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f14235,f641]) ).
fof(f641,plain,
succ(n11) = n12,
inference(cnf_transformation,[],[f3]) ).
fof(f14235,plain,
( sum(sum(pred(sK0),succ(n11)),sum(pred(n11),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n11),succ(n11)))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f346,f723]) ).
fof(f723,plain,
( n11 = sK1
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f721,plain,
( spl2_6
<=> n11 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f14248,plain,
( ~ spl2_6
| ~ spl2_38 ),
inference(avatar_contradiction_clause,[],[f14247]) ).
fof(f14247,plain,
( $false
| ~ spl2_6
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f14246]) ).
fof(f14246,plain,
( n3 != n3
| ~ spl2_6
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14245,f28]) ).
fof(f28,plain,
n3 = sum(n2,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f14245,plain,
( n3 != sum(n2,n1)
| ~ spl2_6
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14244,f546]) ).
fof(f546,plain,
n3 = sum(n12,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f14244,plain,
( sum(n2,n1) != sum(n12,n12)
| ~ spl2_6
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14243,f190]) ).
fof(f14243,plain,
( sum(n12,n12) != sum(sum(n0,n2),n1)
| ~ spl2_6
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14242,f506]) ).
fof(f506,plain,
n12 = sum(n0,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f14242,plain,
( sum(sum(n0,n2),n1) != sum(sum(n0,n12),n12)
| ~ spl2_6
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14241,f598]) ).
fof(f14241,plain,
( sum(sum(pred(n1),n12),n12) != sum(sum(pred(n1),n2),n1)
| ~ spl2_6
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14240,f162]) ).
fof(f162,plain,
n12 = sum(n10,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f14240,plain,
( sum(sum(pred(n1),n2),n1) != sum(sum(pred(n1),n12),sum(n10,n2))
| ~ spl2_6
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14239,f677]) ).
fof(f14239,plain,
( sum(sum(pred(n1),succ(n1)),n1) != sum(sum(pred(n1),n12),sum(n10,succ(n1)))
| ~ spl2_6
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14238,f852]) ).
fof(f14207,plain,
( ~ spl2_6
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f14206]) ).
fof(f14206,plain,
( $false
| ~ spl2_6
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f14205]) ).
fof(f14205,plain,
( n0 != n0
| ~ spl2_6
| ~ spl2_42 ),
inference(forward_demodulation,[],[f14204,f296]) ).
fof(f296,plain,
n0 = sum(n0,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f14204,plain,
( n0 != sum(n0,n0)
| ~ spl2_6
| ~ spl2_42 ),
inference(forward_demodulation,[],[f14203,f510]) ).
fof(f510,plain,
n0 = sum(n20,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f14203,plain,
( sum(n0,n0) != sum(n20,n1)
| ~ spl2_6
| ~ spl2_42 ),
inference(forward_demodulation,[],[f14202,f21]) ).
fof(f14202,plain,
( sum(n0,n0) != sum(n20,sum(n10,n12))
| ~ spl2_6
| ~ spl2_42 ),
inference(forward_demodulation,[],[f14201,f25]) ).
fof(f25,plain,
n0 = sum(n9,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f14201,plain,
( sum(n20,sum(n10,n12)) != sum(sum(n9,n12),n0)
| ~ spl2_6
| ~ spl2_42 ),
inference(forward_demodulation,[],[f14200,f406]) ).
fof(f406,plain,
n0 = sum(n10,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f14200,plain,
( sum(n20,sum(n10,n12)) != sum(sum(n9,n12),sum(n10,n11))
| ~ spl2_6
| ~ spl2_42 ),
inference(forward_demodulation,[],[f14199,f266]) ).
fof(f14199,plain,
( sum(n20,sum(pred(n11),n12)) != sum(sum(n9,n12),sum(pred(n11),n11))
| ~ spl2_6
| ~ spl2_42 ),
inference(forward_demodulation,[],[f14198,f641]) ).
fof(f14198,plain,
( sum(sum(n9,succ(n11)),sum(pred(n11),n11)) != sum(n20,sum(pred(n11),succ(n11)))
| ~ spl2_6
| ~ spl2_42 ),
inference(forward_demodulation,[],[f14155,f723]) ).
fof(f14155,plain,
( sum(n20,sum(pred(sK1),succ(sK1))) != sum(sum(n9,succ(sK1)),sum(pred(sK1),n11))
| ~ spl2_42 ),
inference(forward_demodulation,[],[f14154,f16]) ).
fof(f16,plain,
n20 = sum(n9,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f14154,plain,
( sum(sum(n9,n11),sum(pred(sK1),succ(sK1))) != sum(sum(n9,succ(sK1)),sum(pred(sK1),n11))
| ~ spl2_42 ),
inference(forward_demodulation,[],[f14153,f693]) ).
fof(f693,plain,
n9 = pred(n10),
inference(cnf_transformation,[],[f3]) ).
fof(f14153,plain,
( sum(sum(pred(n10),n11),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n10),succ(sK1)),sum(pred(sK1),n11))
| ~ spl2_42 ),
inference(forward_demodulation,[],[f14152,f114]) ).
fof(f114,plain,
succ(n10) = n11,
inference(cnf_transformation,[],[f3]) ).
fof(f14152,plain,
( sum(sum(pred(n10),succ(sK1)),sum(pred(sK1),succ(n10))) != sum(sum(pred(n10),succ(n10)),sum(pred(sK1),succ(sK1)))
| ~ spl2_42 ),
inference(forward_demodulation,[],[f346,f868]) ).
fof(f868,plain,
( n10 = sK0
| ~ spl2_42 ),
inference(avatar_component_clause,[],[f866]) ).
fof(f866,plain,
( spl2_42
<=> n10 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_42])]) ).
fof(f14181,plain,
( ~ spl2_5
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f14180]) ).
fof(f14180,plain,
( $false
| ~ spl2_5
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f14179]) ).
fof(f14179,plain,
( n13 != n13
| ~ spl2_5
| ~ spl2_42 ),
inference(forward_demodulation,[],[f14178,f106]) ).
fof(f106,plain,
n13 = sum(n17,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f14178,plain,
( n13 != sum(n17,n17)
| ~ spl2_5
| ~ spl2_42 ),
inference(forward_demodulation,[],[f14177,f627]) ).
fof(f627,plain,
n13 = sum(n20,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f14177,plain,
( sum(n17,n17) != sum(n20,n14)
| ~ spl2_5
| ~ spl2_42 ),
inference(forward_demodulation,[],[f14176,f496]) ).
fof(f14176,plain,
( sum(n17,n17) != sum(n20,sum(n6,n8))
| ~ spl2_5
| ~ spl2_42 ),
inference(forward_demodulation,[],[f14175,f494]) ).
fof(f494,plain,
n17 = sum(n9,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f14175,plain,
( sum(n20,sum(n6,n8)) != sum(sum(n9,n8),n17)
| ~ spl2_5
| ~ spl2_42 ),
inference(forward_demodulation,[],[f14174,f302]) ).
fof(f14174,plain,
( sum(n20,sum(n6,succ(n7))) != sum(sum(n9,succ(n7)),n17)
| ~ spl2_5
| ~ spl2_42 ),
inference(forward_demodulation,[],[f14173,f430]) ).
fof(f430,plain,
n17 = sum(n6,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f14173,plain,
( sum(n20,sum(n6,succ(n7))) != sum(sum(n9,succ(n7)),sum(n6,n11))
| ~ spl2_5
| ~ spl2_42 ),
inference(forward_demodulation,[],[f14172,f519]) ).
fof(f14172,plain,
( sum(n20,sum(pred(n7),succ(n7))) != sum(sum(n9,succ(n7)),sum(pred(n7),n11))
| ~ spl2_5
| ~ spl2_42 ),
inference(backward_demodulation,[],[f14155,f719]) ).
fof(f14146,plain,
( ~ spl2_1
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f14145]) ).
fof(f14145,plain,
( $false
| ~ spl2_1
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f14144]) ).
fof(f14144,plain,
( n5 != n5
| ~ spl2_1
| ~ spl2_42 ),
inference(forward_demodulation,[],[f14143,f66]) ).
fof(f66,plain,
n5 = sum(n13,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f14143,plain,
( n5 != sum(n13,n13)
| ~ spl2_1
| ~ spl2_42 ),
inference(forward_demodulation,[],[f14142,f219]) ).
fof(f219,plain,
n5 = sum(n20,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f14142,plain,
( sum(n13,n13) != sum(n20,n6)
| ~ spl2_1
| ~ spl2_42 ),
inference(forward_demodulation,[],[f14141,f676]) ).
fof(f676,plain,
n13 = sum(n9,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f14141,plain,
( sum(n20,n6) != sum(sum(n9,n4),n13)
| ~ spl2_1
| ~ spl2_42 ),
inference(forward_demodulation,[],[f14140,f16]) ).
fof(f14140,plain,
( sum(sum(n9,n4),n13) != sum(sum(n9,n11),n6)
| ~ spl2_1
| ~ spl2_42 ),
inference(forward_demodulation,[],[f14139,f693]) ).
fof(f14139,plain,
( sum(sum(pred(n10),n11),n6) != sum(sum(pred(n10),n4),n13)
| ~ spl2_1
| ~ spl2_42 ),
inference(forward_demodulation,[],[f14138,f326]) ).
fof(f326,plain,
n13 = sum(n2,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f14138,plain,
( sum(sum(pred(n10),n11),n6) != sum(sum(pred(n10),n4),sum(n2,n11))
| ~ spl2_1
| ~ spl2_42 ),
inference(forward_demodulation,[],[f14137,f114]) ).
fof(f14137,plain,
( sum(sum(pred(n10),succ(n10)),n6) != sum(sum(pred(n10),n4),sum(n2,succ(n10)))
| ~ spl2_1
| ~ spl2_42 ),
inference(backward_demodulation,[],[f14121,f868]) ).
fof(f14121,plain,
( sum(sum(pred(sK0),succ(sK0)),n6) != sum(sum(pred(sK0),n4),sum(n2,succ(sK0)))
| ~ spl2_1 ),
inference(forward_demodulation,[],[f14120,f533]) ).
fof(f533,plain,
n6 = sum(n2,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f14120,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(n2,n4)) != sum(sum(pred(sK0),n4),sum(n2,succ(sK0)))
| ~ spl2_1 ),
inference(forward_demodulation,[],[f14119,f447]) ).
fof(f447,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f3]) ).
fof(f14119,plain,
( sum(sum(pred(sK0),succ(n3)),sum(n2,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n2,succ(n3)))
| ~ spl2_1 ),
inference(forward_demodulation,[],[f14099,f174]) ).
fof(f174,plain,
n2 = pred(n3),
inference(cnf_transformation,[],[f3]) ).
fof(f14099,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n3),succ(n3))) != sum(sum(pred(sK0),succ(n3)),sum(pred(n3),succ(sK0)))
| ~ spl2_1 ),
inference(forward_demodulation,[],[f346,f703]) ).
fof(f703,plain,
( n3 = sK1
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f701,plain,
( spl2_1
<=> n3 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f14112,plain,
( ~ spl2_1
| ~ spl2_38 ),
inference(avatar_contradiction_clause,[],[f14111]) ).
fof(f14111,plain,
( $false
| ~ spl2_1
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f14110]) ).
fof(f14110,plain,
( n8 != n8
| ~ spl2_1
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14109,f22]) ).
fof(f22,plain,
n8 = sum(n2,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f14109,plain,
( n8 != sum(n2,n6)
| ~ spl2_1
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14108,f157]) ).
fof(f157,plain,
n8 = sum(n4,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f14108,plain,
( sum(n2,n6) != sum(n4,n4)
| ~ spl2_1
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14107,f190]) ).
fof(f14107,plain,
( sum(n4,n4) != sum(sum(n0,n2),n6)
| ~ spl2_1
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14106,f439]) ).
fof(f439,plain,
n4 = sum(n0,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f14106,plain,
( sum(sum(n0,n2),n6) != sum(sum(n0,n4),n4)
| ~ spl2_1
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14105,f598]) ).
fof(f14105,plain,
( sum(sum(pred(n1),n4),n4) != sum(sum(pred(n1),n2),n6)
| ~ spl2_1
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14104,f533]) ).
fof(f14104,plain,
( sum(sum(pred(n1),n4),n4) != sum(sum(pred(n1),n2),sum(n2,n4))
| ~ spl2_1
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14103,f447]) ).
fof(f14103,plain,
( sum(sum(pred(n1),succ(n3)),n4) != sum(sum(pred(n1),n2),sum(n2,succ(n3)))
| ~ spl2_1
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14102,f489]) ).
fof(f489,plain,
n4 = sum(n2,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f14102,plain,
( sum(sum(pred(n1),n2),sum(n2,succ(n3))) != sum(sum(pred(n1),succ(n3)),sum(n2,n2))
| ~ spl2_1
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14101,f174]) ).
fof(f14101,plain,
( sum(sum(pred(n1),n2),sum(pred(n3),succ(n3))) != sum(sum(pred(n1),succ(n3)),sum(pred(n3),n2))
| ~ spl2_1
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14100,f677]) ).
fof(f14100,plain,
( sum(sum(pred(n1),succ(n1)),sum(pred(n3),succ(n3))) != sum(sum(pred(n1),succ(n3)),sum(pred(n3),succ(n1)))
| ~ spl2_1
| ~ spl2_38 ),
inference(forward_demodulation,[],[f14099,f852]) ).
fof(f14083,plain,
( ~ spl2_1
| ~ spl2_25 ),
inference(avatar_contradiction_clause,[],[f14082]) ).
fof(f14082,plain,
( $false
| ~ spl2_1
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f14081]) ).
fof(f14081,plain,
( n15 != n15
| ~ spl2_1
| ~ spl2_25 ),
inference(forward_demodulation,[],[f14080,f264]) ).
fof(f264,plain,
n15 = sum(n9,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f14080,plain,
( n15 != sum(n9,n6)
| ~ spl2_1
| ~ spl2_25 ),
inference(forward_demodulation,[],[f14079,f679]) ).
fof(f679,plain,
n15 = sum(n18,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f14079,plain,
( sum(n9,n6) != sum(n18,n18)
| ~ spl2_1
| ~ spl2_25 ),
inference(forward_demodulation,[],[f14078,f541]) ).
fof(f541,plain,
n18 = sum(n14,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f14078,plain,
( sum(n9,n6) != sum(sum(n14,n4),n18)
| ~ spl2_1
| ~ spl2_25 ),
inference(forward_demodulation,[],[f14077,f35]) ).
fof(f35,plain,
n18 = sum(n2,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f14077,plain,
( sum(n9,n6) != sum(sum(n14,n4),sum(n2,n16))
| ~ spl2_1
| ~ spl2_25 ),
inference(forward_demodulation,[],[f14076,f533]) ).
fof(f14076,plain,
( sum(sum(n14,n4),sum(n2,n16)) != sum(n9,sum(n2,n4))
| ~ spl2_1
| ~ spl2_25 ),
inference(forward_demodulation,[],[f14075,f174]) ).
fof(f14075,plain,
( sum(sum(n14,n4),sum(pred(n3),n16)) != sum(n9,sum(pred(n3),n4))
| ~ spl2_1
| ~ spl2_25 ),
inference(forward_demodulation,[],[f14074,f447]) ).
fof(f14074,plain,
( sum(sum(n14,succ(n3)),sum(pred(n3),n16)) != sum(n9,sum(pred(n3),succ(n3)))
| ~ spl2_1
| ~ spl2_25 ),
inference(backward_demodulation,[],[f14055,f703]) ).
fof(f14055,plain,
( sum(sum(n14,succ(sK1)),sum(pred(sK1),n16)) != sum(n9,sum(pred(sK1),succ(sK1)))
| ~ spl2_25 ),
inference(forward_demodulation,[],[f14054,f486]) ).
fof(f14054,plain,
( sum(sum(n14,succ(sK1)),sum(pred(sK1),n16)) != sum(sum(n14,n16),sum(pred(sK1),succ(sK1)))
| ~ spl2_25 ),
inference(forward_demodulation,[],[f14053,f562]) ).
fof(f14053,plain,
( sum(sum(pred(n15),succ(sK1)),sum(pred(sK1),n16)) != sum(sum(pred(n15),n16),sum(pred(sK1),succ(sK1)))
| ~ spl2_25 ),
inference(forward_demodulation,[],[f14032,f37]) ).
fof(f14032,plain,
( sum(sum(pred(n15),succ(sK1)),sum(pred(sK1),succ(n15))) != sum(sum(pred(n15),succ(n15)),sum(pred(sK1),succ(sK1)))
| ~ spl2_25 ),
inference(backward_demodulation,[],[f346,f800]) ).
fof(f14028,plain,
( ~ spl2_5
| ~ spl2_34 ),
inference(avatar_contradiction_clause,[],[f14027]) ).
fof(f14027,plain,
( $false
| ~ spl2_5
| ~ spl2_34 ),
inference(trivial_inequality_removal,[],[f14026]) ).
fof(f14026,plain,
( n14 != n14
| ~ spl2_5
| ~ spl2_34 ),
inference(forward_demodulation,[],[f14025,f351]) ).
fof(f351,plain,
n14 = sum(n0,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f14025,plain,
( n14 != sum(n0,n14)
| ~ spl2_5
| ~ spl2_34 ),
inference(forward_demodulation,[],[f14024,f395]) ).
fof(f395,plain,
n14 = sum(n7,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f14024,plain,
( sum(n0,n14) != sum(n7,n7)
| ~ spl2_5
| ~ spl2_34 ),
inference(forward_demodulation,[],[f14023,f668]) ).
fof(f668,plain,
n7 = sum(n20,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f14023,plain,
( sum(n0,n14) != sum(sum(n20,n8),n7)
| ~ spl2_5
| ~ spl2_34 ),
inference(forward_demodulation,[],[f14022,f496]) ).
fof(f14022,plain,
( sum(sum(n20,n8),n7) != sum(n0,sum(n6,n8))
| ~ spl2_5
| ~ spl2_34 ),
inference(forward_demodulation,[],[f14021,f302]) ).
fof(f14021,plain,
( sum(sum(n20,succ(n7)),n7) != sum(n0,sum(n6,succ(n7)))
| ~ spl2_5
| ~ spl2_34 ),
inference(forward_demodulation,[],[f14020,f311]) ).
fof(f311,plain,
n7 = sum(n6,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f14020,plain,
( sum(n0,sum(n6,succ(n7))) != sum(sum(n20,succ(n7)),sum(n6,n1))
| ~ spl2_5
| ~ spl2_34 ),
inference(forward_demodulation,[],[f14019,f519]) ).
fof(f14019,plain,
( sum(n0,sum(pred(n7),succ(n7))) != sum(sum(n20,succ(n7)),sum(pred(n7),n1))
| ~ spl2_5
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13942,f719]) ).
fof(f13942,plain,
( sum(n0,sum(pred(sK1),succ(sK1))) != sum(sum(n20,succ(sK1)),sum(pred(sK1),n1))
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13941,f510]) ).
fof(f13941,plain,
( sum(sum(n20,n1),sum(pred(sK1),succ(sK1))) != sum(sum(n20,succ(sK1)),sum(pred(sK1),n1))
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13940,f358]) ).
fof(f358,plain,
n20 = pred(n0),
inference(cnf_transformation,[],[f3]) ).
fof(f13940,plain,
( sum(sum(pred(n0),n1),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n0),succ(sK1)),sum(pred(sK1),n1))
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13939,f192]) ).
fof(f192,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f3]) ).
fof(f13939,plain,
( sum(sum(pred(n0),succ(sK1)),sum(pred(sK1),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(sK1),succ(sK1)))
| ~ spl2_34 ),
inference(forward_demodulation,[],[f346,f836]) ).
fof(f836,plain,
( n0 = sK0
| ~ spl2_34 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f834,plain,
( spl2_34
<=> n0 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_34])]) ).
fof(f14001,plain,
( ~ spl2_1
| ~ spl2_34 ),
inference(avatar_contradiction_clause,[],[f14000]) ).
fof(f14000,plain,
( $false
| ~ spl2_1
| ~ spl2_34 ),
inference(trivial_inequality_removal,[],[f13999]) ).
fof(f13999,plain,
( n6 != n6
| ~ spl2_1
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13998,f271]) ).
fof(f271,plain,
n6 = sum(n0,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f13998,plain,
( n6 != sum(n0,n6)
| ~ spl2_1
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13997,f419]) ).
fof(f419,plain,
n6 = sum(n3,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f13997,plain,
( sum(n0,n6) != sum(n3,n3)
| ~ spl2_1
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13996,f533]) ).
fof(f13996,plain,
( sum(n3,n3) != sum(n0,sum(n2,n4))
| ~ spl2_1
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13995,f415]) ).
fof(f415,plain,
n3 = sum(n20,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f13995,plain,
( sum(n0,sum(n2,n4)) != sum(sum(n20,n4),n3)
| ~ spl2_1
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13994,f447]) ).
fof(f13994,plain,
( sum(sum(n20,succ(n3)),n3) != sum(n0,sum(n2,succ(n3)))
| ~ spl2_1
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13993,f28]) ).
fof(f13993,plain,
( sum(n0,sum(n2,succ(n3))) != sum(sum(n20,succ(n3)),sum(n2,n1))
| ~ spl2_1
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13992,f174]) ).
fof(f13992,plain,
( sum(n0,sum(pred(n3),succ(n3))) != sum(sum(n20,succ(n3)),sum(pred(n3),n1))
| ~ spl2_1
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13942,f703]) ).
fof(f13966,plain,
( ~ spl2_6
| ~ spl2_34 ),
inference(avatar_contradiction_clause,[],[f13965]) ).
fof(f13965,plain,
( $false
| ~ spl2_6
| ~ spl2_34 ),
inference(trivial_inequality_removal,[],[f13964]) ).
fof(f13964,plain,
( n1 != n1
| ~ spl2_6
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13963,f398]) ).
fof(f398,plain,
n1 = sum(n0,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f13963,plain,
( n1 != sum(n0,n1)
| ~ spl2_6
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13962,f470]) ).
fof(f470,plain,
n1 = sum(n11,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f13962,plain,
( sum(n0,n1) != sum(n11,n11)
| ~ spl2_6
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13961,f15]) ).
fof(f15,plain,
n11 = sum(n20,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f13961,plain,
( sum(n0,n1) != sum(sum(n20,n12),n11)
| ~ spl2_6
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13960,f134]) ).
fof(f134,plain,
n11 = sum(n10,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f13960,plain,
( sum(n0,n1) != sum(sum(n20,n12),sum(n10,n1))
| ~ spl2_6
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13959,f21]) ).
fof(f13959,plain,
( sum(sum(n20,n12),sum(n10,n1)) != sum(n0,sum(n10,n12))
| ~ spl2_6
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13958,f266]) ).
fof(f13958,plain,
( sum(sum(n20,n12),sum(pred(n11),n1)) != sum(n0,sum(pred(n11),n12))
| ~ spl2_6
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13957,f641]) ).
fof(f13957,plain,
( sum(sum(n20,succ(n11)),sum(pred(n11),n1)) != sum(n0,sum(pred(n11),succ(n11)))
| ~ spl2_6
| ~ spl2_34 ),
inference(backward_demodulation,[],[f13942,f723]) ).
fof(f13936,plain,
( ~ spl2_3
| ~ spl2_34 ),
inference(avatar_contradiction_clause,[],[f13935]) ).
fof(f13935,plain,
( $false
| ~ spl2_3
| ~ spl2_34 ),
inference(trivial_inequality_removal,[],[f13934]) ).
fof(f13934,plain,
( n5 != n5
| ~ spl2_3
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13933,f249]) ).
fof(f249,plain,
n5 = sum(n0,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f13933,plain,
( n5 != sum(n0,n5)
| ~ spl2_3
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13932,f66]) ).
fof(f13932,plain,
( sum(n0,n5) != sum(n13,n13)
| ~ spl2_3
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13931,f627]) ).
fof(f13931,plain,
( sum(n0,n5) != sum(sum(n20,n14),n13)
| ~ spl2_3
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13930,f179]) ).
fof(f179,plain,
n13 = sum(n12,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f13930,plain,
( sum(n0,n5) != sum(sum(n20,n14),sum(n12,n1))
| ~ spl2_3
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13929,f510]) ).
fof(f13929,plain,
( sum(sum(n20,n14),sum(n12,n1)) != sum(sum(n20,n1),n5)
| ~ spl2_3
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13928,f358]) ).
fof(f13928,plain,
( sum(sum(pred(n0),n14),sum(n12,n1)) != sum(sum(pred(n0),n1),n5)
| ~ spl2_3
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13927,f192]) ).
fof(f13927,plain,
( sum(sum(pred(n0),succ(n0)),n5) != sum(sum(pred(n0),n14),sum(n12,succ(n0)))
| ~ spl2_3
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13810,f836]) ).
fof(f13810,plain,
( sum(sum(pred(sK0),succ(sK0)),n5) != sum(sum(pred(sK0),n14),sum(n12,succ(sK0)))
| ~ spl2_3 ),
inference(forward_demodulation,[],[f13809,f610]) ).
fof(f610,plain,
n5 = sum(n12,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f13809,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(n12,n14)) != sum(sum(pred(sK0),n14),sum(n12,succ(sK0)))
| ~ spl2_3 ),
inference(forward_demodulation,[],[f13808,f225]) ).
fof(f225,plain,
n12 = pred(n13),
inference(cnf_transformation,[],[f3]) ).
fof(f13808,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n13),n14)) != sum(sum(pred(sK0),n14),sum(pred(n13),succ(sK0)))
| ~ spl2_3 ),
inference(forward_demodulation,[],[f13798,f502]) ).
fof(f502,plain,
succ(n13) = n14,
inference(cnf_transformation,[],[f3]) ).
fof(f13798,plain,
( sum(sum(pred(sK0),succ(n13)),sum(pred(n13),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n13),succ(n13)))
| ~ spl2_3 ),
inference(backward_demodulation,[],[f346,f711]) ).
fof(f711,plain,
( n13 = sK1
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f709,plain,
( spl2_3
<=> n13 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f13901,plain,
( ~ spl2_3
| ~ spl2_25 ),
inference(avatar_contradiction_clause,[],[f13900]) ).
fof(f13900,plain,
( $false
| ~ spl2_3
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f13899]) ).
fof(f13899,plain,
( n14 != n14
| ~ spl2_3
| ~ spl2_25 ),
inference(forward_demodulation,[],[f13898,f395]) ).
fof(f13898,plain,
( n14 != sum(n7,n7)
| ~ spl2_3
| ~ spl2_25 ),
inference(forward_demodulation,[],[f13897,f425]) ).
fof(f425,plain,
n14 = sum(n9,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f13897,plain,
( sum(n7,n7) != sum(n9,n5)
| ~ spl2_3
| ~ spl2_25 ),
inference(forward_demodulation,[],[f13896,f243]) ).
fof(f243,plain,
n7 = sum(n14,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f13896,plain,
( sum(n9,n5) != sum(sum(n14,n14),n7)
| ~ spl2_3
| ~ spl2_25 ),
inference(forward_demodulation,[],[f13895,f486]) ).
fof(f13895,plain,
( sum(sum(n14,n14),n7) != sum(sum(n14,n16),n5)
| ~ spl2_3
| ~ spl2_25 ),
inference(forward_demodulation,[],[f13894,f90]) ).
fof(f90,plain,
n7 = sum(n12,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f13894,plain,
( sum(sum(n14,n16),n5) != sum(sum(n14,n14),sum(n12,n16))
| ~ spl2_3
| ~ spl2_25 ),
inference(forward_demodulation,[],[f13893,f562]) ).
fof(f13893,plain,
( sum(sum(pred(n15),n14),sum(n12,n16)) != sum(sum(pred(n15),n16),n5)
| ~ spl2_3
| ~ spl2_25 ),
inference(forward_demodulation,[],[f13892,f37]) ).
fof(f13892,plain,
( sum(sum(pred(n15),n14),sum(n12,succ(n15))) != sum(sum(pred(n15),succ(n15)),n5)
| ~ spl2_3
| ~ spl2_25 ),
inference(forward_demodulation,[],[f13810,f800]) ).
fof(f13869,plain,
( ~ spl2_3
| ~ spl2_38 ),
inference(avatar_contradiction_clause,[],[f13868]) ).
fof(f13868,plain,
( $false
| ~ spl2_3
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f13867]) ).
fof(f13867,plain,
( n7 != n7
| ~ spl2_3
| ~ spl2_38 ),
inference(forward_demodulation,[],[f13866,f248]) ).
fof(f248,plain,
n7 = sum(n2,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f13866,plain,
( n7 != sum(n2,n5)
| ~ spl2_3
| ~ spl2_38 ),
inference(forward_demodulation,[],[f13865,f243]) ).
fof(f13865,plain,
( sum(n2,n5) != sum(n14,n14)
| ~ spl2_3
| ~ spl2_38 ),
inference(forward_demodulation,[],[f13864,f351]) ).
fof(f13864,plain,
( sum(n2,n5) != sum(sum(n0,n14),n14)
| ~ spl2_3
| ~ spl2_38 ),
inference(forward_demodulation,[],[f13863,f190]) ).
fof(f13863,plain,
( sum(sum(n0,n14),n14) != sum(sum(n0,n2),n5)
| ~ spl2_3
| ~ spl2_38 ),
inference(forward_demodulation,[],[f13862,f598]) ).
fof(f13862,plain,
( sum(sum(pred(n1),n2),n5) != sum(sum(pred(n1),n14),n14)
| ~ spl2_3
| ~ spl2_38 ),
inference(forward_demodulation,[],[f13861,f388]) ).
fof(f388,plain,
n14 = sum(n12,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f13861,plain,
( sum(sum(pred(n1),n2),n5) != sum(sum(pred(n1),n14),sum(n12,n2))
| ~ spl2_3
| ~ spl2_38 ),
inference(forward_demodulation,[],[f13860,f677]) ).
fof(f13860,plain,
( sum(sum(pred(n1),succ(n1)),n5) != sum(sum(pred(n1),n14),sum(n12,succ(n1)))
| ~ spl2_3
| ~ spl2_38 ),
inference(backward_demodulation,[],[f13810,f852]) ).
fof(f13840,plain,
( ~ spl2_3
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f13839]) ).
fof(f13839,plain,
( $false
| ~ spl2_3
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f13838]) ).
fof(f13838,plain,
( n4 != n4
| ~ spl2_3
| ~ spl2_42 ),
inference(forward_demodulation,[],[f13837,f489]) ).
fof(f13837,plain,
( n4 != sum(n2,n2)
| ~ spl2_3
| ~ spl2_42 ),
inference(forward_demodulation,[],[f13836,f477]) ).
fof(f477,plain,
n4 = sum(n20,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f13836,plain,
( sum(n2,n2) != sum(n20,n5)
| ~ spl2_3
| ~ spl2_42 ),
inference(forward_demodulation,[],[f13835,f95]) ).
fof(f13835,plain,
( sum(n20,n5) != sum(sum(n9,n14),n2)
| ~ spl2_3
| ~ spl2_42 ),
inference(forward_demodulation,[],[f13834,f16]) ).
fof(f13834,plain,
( sum(sum(n9,n14),n2) != sum(sum(n9,n11),n5)
| ~ spl2_3
| ~ spl2_42 ),
inference(forward_demodulation,[],[f13833,f693]) ).
fof(f13833,plain,
( sum(sum(pred(n10),n14),n2) != sum(sum(pred(n10),n11),n5)
| ~ spl2_3
| ~ spl2_42 ),
inference(forward_demodulation,[],[f13832,f129]) ).
fof(f129,plain,
n2 = sum(n12,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f13832,plain,
( sum(sum(pred(n10),n11),n5) != sum(sum(pred(n10),n14),sum(n12,n11))
| ~ spl2_3
| ~ spl2_42 ),
inference(forward_demodulation,[],[f13831,f114]) ).
fof(f13831,plain,
( sum(sum(pred(n10),n14),sum(n12,succ(n10))) != sum(sum(pred(n10),succ(n10)),n5)
| ~ spl2_3
| ~ spl2_42 ),
inference(backward_demodulation,[],[f13810,f868]) ).
fof(f13785,plain,
( ~ spl2_1
| ~ spl2_30 ),
inference(avatar_contradiction_clause,[],[f13784]) ).
fof(f13784,plain,
( $false
| ~ spl2_1
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f13783]) ).
fof(f13783,plain,
( n20 != n20
| ~ spl2_1
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13782,f324]) ).
fof(f324,plain,
n20 = sum(n10,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f13782,plain,
( n20 != sum(n10,n10)
| ~ spl2_1
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13781,f317]) ).
fof(f317,plain,
n20 = sum(n14,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f13781,plain,
( sum(n10,n10) != sum(n14,n6)
| ~ spl2_1
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13780,f533]) ).
fof(f13780,plain,
( sum(n10,n10) != sum(n14,sum(n2,n4))
| ~ spl2_1
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13779,f331]) ).
fof(f331,plain,
n10 = sum(n6,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f13779,plain,
( sum(n14,sum(n2,n4)) != sum(sum(n6,n4),n10)
| ~ spl2_1
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13778,f447]) ).
fof(f13778,plain,
( sum(n14,sum(n2,succ(n3))) != sum(sum(n6,succ(n3)),n10)
| ~ spl2_1
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13777,f56]) ).
fof(f56,plain,
n10 = sum(n2,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f13777,plain,
( sum(n14,sum(n2,succ(n3))) != sum(sum(n6,succ(n3)),sum(n2,n8))
| ~ spl2_1
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13776,f174]) ).
fof(f13776,plain,
( sum(n14,sum(pred(n3),succ(n3))) != sum(sum(n6,succ(n3)),sum(pred(n3),n8))
| ~ spl2_1
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13679,f703]) ).
fof(f13679,plain,
( sum(n14,sum(pred(sK1),succ(sK1))) != sum(sum(n6,succ(sK1)),sum(pred(sK1),n8))
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13678,f496]) ).
fof(f13678,plain,
( sum(sum(n6,succ(sK1)),sum(pred(sK1),n8)) != sum(sum(n6,n8),sum(pred(sK1),succ(sK1)))
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13677,f519]) ).
fof(f13677,plain,
( sum(sum(pred(n7),succ(sK1)),sum(pred(sK1),n8)) != sum(sum(pred(n7),n8),sum(pred(sK1),succ(sK1)))
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13676,f302]) ).
fof(f13676,plain,
( sum(sum(pred(n7),succ(sK1)),sum(pred(sK1),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(sK1),succ(sK1)))
| ~ spl2_30 ),
inference(forward_demodulation,[],[f346,f820]) ).
fof(f820,plain,
( n7 = sK0
| ~ spl2_30 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f818,plain,
( spl2_30
<=> n7 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_30])]) ).
fof(f13760,plain,
( ~ spl2_5
| ~ spl2_30 ),
inference(avatar_contradiction_clause,[],[f13759]) ).
fof(f13759,plain,
( $false
| ~ spl2_5
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f13758]) ).
fof(f13758,plain,
( sum(n14,n14) != sum(n14,n14)
| ~ spl2_5
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13757,f496]) ).
fof(f13757,plain,
( sum(sum(n6,n8),n14) != sum(n14,sum(n6,n8))
| ~ spl2_5
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13756,f302]) ).
fof(f13756,plain,
( sum(sum(n6,succ(n7)),n14) != sum(n14,sum(n6,succ(n7)))
| ~ spl2_5
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13755,f496]) ).
fof(f13755,plain,
( sum(n14,sum(n6,succ(n7))) != sum(sum(n6,succ(n7)),sum(n6,n8))
| ~ spl2_5
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13754,f519]) ).
fof(f13754,plain,
( sum(n14,sum(pred(n7),succ(n7))) != sum(sum(n6,succ(n7)),sum(pred(n7),n8))
| ~ spl2_5
| ~ spl2_30 ),
inference(backward_demodulation,[],[f13679,f719]) ).
fof(f13728,plain,
( ~ spl2_3
| ~ spl2_30 ),
inference(avatar_contradiction_clause,[],[f13727]) ).
fof(f13727,plain,
( $false
| ~ spl2_3
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f13726]) ).
fof(f13726,plain,
( n19 != n19
| ~ spl2_3
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13725,f298]) ).
fof(f298,plain,
n19 = sum(n14,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f13725,plain,
( n19 != sum(n14,n5)
| ~ spl2_3
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13724,f119]) ).
fof(f119,plain,
n19 = sum(n20,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f13724,plain,
( sum(n14,n5) != sum(n20,n20)
| ~ spl2_3
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13723,f578]) ).
fof(f578,plain,
n20 = sum(n6,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f13723,plain,
( sum(n14,n5) != sum(sum(n6,n14),n20)
| ~ spl2_3
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13722,f257]) ).
fof(f257,plain,
n20 = sum(n12,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f13722,plain,
( sum(n14,n5) != sum(sum(n6,n14),sum(n12,n8))
| ~ spl2_3
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13721,f610]) ).
fof(f13721,plain,
( sum(sum(n6,n14),sum(n12,n8)) != sum(n14,sum(n12,n14))
| ~ spl2_3
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13720,f502]) ).
fof(f13720,plain,
( sum(sum(n6,succ(n13)),sum(n12,n8)) != sum(n14,sum(n12,succ(n13)))
| ~ spl2_3
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13719,f225]) ).
fof(f13719,plain,
( sum(n14,sum(pred(n13),succ(n13))) != sum(sum(n6,succ(n13)),sum(pred(n13),n8))
| ~ spl2_3
| ~ spl2_30 ),
inference(backward_demodulation,[],[f13679,f711]) ).
fof(f13709,plain,
( ~ spl2_6
| ~ spl2_30 ),
inference(avatar_contradiction_clause,[],[f13708]) ).
fof(f13708,plain,
( $false
| ~ spl2_6
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f13707]) ).
fof(f13707,plain,
( n15 != n15
| ~ spl2_6
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13706,f481]) ).
fof(f481,plain,
n15 = sum(n14,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f13706,plain,
( n15 != sum(n14,n1)
| ~ spl2_6
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13705,f679]) ).
fof(f13705,plain,
( sum(n14,n1) != sum(n18,n18)
| ~ spl2_6
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13704,f21]) ).
fof(f13704,plain,
( sum(n18,n18) != sum(n14,sum(n10,n12))
| ~ spl2_6
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13703,f320]) ).
fof(f320,plain,
n18 = sum(n6,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f13703,plain,
( sum(n14,sum(n10,n12)) != sum(sum(n6,n12),n18)
| ~ spl2_6
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13702,f197]) ).
fof(f197,plain,
n18 = sum(n10,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f13702,plain,
( sum(n14,sum(n10,n12)) != sum(sum(n6,n12),sum(n10,n8))
| ~ spl2_6
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13701,f266]) ).
fof(f13701,plain,
( sum(sum(n6,n12),sum(pred(n11),n8)) != sum(n14,sum(pred(n11),n12))
| ~ spl2_6
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13700,f641]) ).
fof(f13700,plain,
( sum(sum(n6,succ(n11)),sum(pred(n11),n8)) != sum(n14,sum(pred(n11),succ(n11)))
| ~ spl2_6
| ~ spl2_30 ),
inference(backward_demodulation,[],[f13679,f723]) ).
fof(f13654,plain,
( ~ spl2_4
| ~ spl2_25 ),
inference(avatar_contradiction_clause,[],[f13653]) ).
fof(f13653,plain,
( $false
| ~ spl2_4
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f13652]) ).
fof(f13652,plain,
( n12 != n12
| ~ spl2_4
| ~ spl2_25 ),
inference(forward_demodulation,[],[f13651,f316]) ).
fof(f316,plain,
n12 = sum(n6,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f13651,plain,
( n12 != sum(n6,n6)
| ~ spl2_4
| ~ spl2_25 ),
inference(forward_demodulation,[],[f13650,f628]) ).
fof(f628,plain,
n12 = sum(n9,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f13650,plain,
( sum(n6,n6) != sum(n9,n3)
| ~ spl2_4
| ~ spl2_25 ),
inference(forward_demodulation,[],[f13649,f349]) ).
fof(f349,plain,
n6 = sum(n14,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f13649,plain,
( sum(n9,n3) != sum(sum(n14,n13),n6)
| ~ spl2_4
| ~ spl2_25 ),
inference(forward_demodulation,[],[f13648,f486]) ).
fof(f13648,plain,
( sum(sum(n14,n13),n6) != sum(sum(n14,n16),n3)
| ~ spl2_4
| ~ spl2_25 ),
inference(forward_demodulation,[],[f13647,f562]) ).
fof(f13647,plain,
( sum(sum(pred(n15),n16),n3) != sum(sum(pred(n15),n13),n6)
| ~ spl2_4
| ~ spl2_25 ),
inference(forward_demodulation,[],[f13646,f116]) ).
fof(f116,plain,
n6 = sum(n11,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f13646,plain,
( sum(sum(pred(n15),n16),n3) != sum(sum(pred(n15),n13),sum(n11,n16))
| ~ spl2_4
| ~ spl2_25 ),
inference(forward_demodulation,[],[f13645,f37]) ).
fof(f13645,plain,
( sum(sum(pred(n15),n13),sum(n11,succ(n15))) != sum(sum(pred(n15),succ(n15)),n3)
| ~ spl2_4
| ~ spl2_25 ),
inference(backward_demodulation,[],[f13540,f800]) ).
fof(f13540,plain,
( sum(sum(pred(sK0),n13),sum(n11,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n3)
| ~ spl2_4 ),
inference(forward_demodulation,[],[f13539,f125]) ).
fof(f125,plain,
n3 = sum(n11,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f13539,plain,
( sum(sum(pred(sK0),n13),sum(n11,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n11,n13))
| ~ spl2_4 ),
inference(forward_demodulation,[],[f13538,f278]) ).
fof(f278,plain,
succ(n12) = n13,
inference(cnf_transformation,[],[f3]) ).
fof(f13538,plain,
( sum(sum(pred(sK0),succ(n12)),sum(n11,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n11,succ(n12)))
| ~ spl2_4 ),
inference(forward_demodulation,[],[f13491,f347]) ).
fof(f347,plain,
n11 = pred(n12),
inference(cnf_transformation,[],[f3]) ).
fof(f13491,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n12),succ(n12))) != sum(sum(pred(sK0),succ(n12)),sum(pred(n12),succ(sK0)))
| ~ spl2_4 ),
inference(forward_demodulation,[],[f346,f715]) ).
fof(f715,plain,
( n12 = sK1
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f713,plain,
( spl2_4
<=> n12 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f13624,plain,
( ~ spl2_4
| ~ spl2_30 ),
inference(avatar_contradiction_clause,[],[f13623]) ).
fof(f13623,plain,
( $false
| ~ spl2_4
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f13622]) ).
fof(f13622,plain,
( n17 != n17
| ~ spl2_4
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13621,f431]) ).
fof(f431,plain,
n17 = sum(n14,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f13621,plain,
( n17 != sum(n14,n3)
| ~ spl2_4
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13620,f210]) ).
fof(f210,plain,
n17 = sum(n19,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f13620,plain,
( sum(n14,n3) != sum(n19,n19)
| ~ spl2_4
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13619,f496]) ).
fof(f13619,plain,
( sum(n19,n19) != sum(sum(n6,n8),n3)
| ~ spl2_4
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13618,f609]) ).
fof(f609,plain,
n19 = sum(n6,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f13618,plain,
( sum(sum(n6,n8),n3) != sum(sum(n6,n13),n19)
| ~ spl2_4
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13617,f632]) ).
fof(f632,plain,
n19 = sum(n11,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f13617,plain,
( sum(sum(n6,n8),n3) != sum(sum(n6,n13),sum(n11,n8))
| ~ spl2_4
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13616,f519]) ).
fof(f13616,plain,
( sum(sum(pred(n7),n13),sum(n11,n8)) != sum(sum(pred(n7),n8),n3)
| ~ spl2_4
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13615,f302]) ).
fof(f13615,plain,
( sum(sum(pred(n7),succ(n7)),n3) != sum(sum(pred(n7),n13),sum(n11,succ(n7)))
| ~ spl2_4
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13540,f820]) ).
fof(f13596,plain,
( ~ spl2_4
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f13595]) ).
fof(f13595,plain,
( $false
| ~ spl2_4
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f13594]) ).
fof(f13594,plain,
( n2 != n2
| ~ spl2_4
| ~ spl2_42 ),
inference(forward_demodulation,[],[f13593,f433]) ).
fof(f13593,plain,
( n2 != sum(n1,n1)
| ~ spl2_4
| ~ spl2_42 ),
inference(forward_demodulation,[],[f13592,f73]) ).
fof(f73,plain,
n2 = sum(n20,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f13592,plain,
( sum(n1,n1) != sum(n20,n3)
| ~ spl2_4
| ~ spl2_42 ),
inference(forward_demodulation,[],[f13591,f605]) ).
fof(f605,plain,
n1 = sum(n9,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f13591,plain,
( sum(n20,n3) != sum(sum(n9,n13),n1)
| ~ spl2_4
| ~ spl2_42 ),
inference(forward_demodulation,[],[f13590,f470]) ).
fof(f13590,plain,
( sum(n20,n3) != sum(sum(n9,n13),sum(n11,n11))
| ~ spl2_4
| ~ spl2_42 ),
inference(forward_demodulation,[],[f13589,f16]) ).
fof(f13589,plain,
( sum(sum(n9,n13),sum(n11,n11)) != sum(sum(n9,n11),n3)
| ~ spl2_4
| ~ spl2_42 ),
inference(forward_demodulation,[],[f13588,f693]) ).
fof(f13588,plain,
( sum(sum(pred(n10),n13),sum(n11,n11)) != sum(sum(pred(n10),n11),n3)
| ~ spl2_4
| ~ spl2_42 ),
inference(forward_demodulation,[],[f13587,f114]) ).
fof(f13587,plain,
( sum(sum(pred(n10),n13),sum(n11,succ(n10))) != sum(sum(pred(n10),succ(n10)),n3)
| ~ spl2_4
| ~ spl2_42 ),
inference(forward_demodulation,[],[f13540,f868]) ).
fof(f13564,plain,
( ~ spl2_4
| ~ spl2_38 ),
inference(avatar_contradiction_clause,[],[f13563]) ).
fof(f13563,plain,
( $false
| ~ spl2_4
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f13562]) ).
fof(f13562,plain,
( n5 != n5
| ~ spl2_4
| ~ spl2_38 ),
inference(forward_demodulation,[],[f13561,f272]) ).
fof(f272,plain,
n5 = sum(n2,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f13561,plain,
( n5 != sum(n2,n3)
| ~ spl2_4
| ~ spl2_38 ),
inference(forward_demodulation,[],[f13560,f66]) ).
fof(f13560,plain,
( sum(n2,n3) != sum(n13,n13)
| ~ spl2_4
| ~ spl2_38 ),
inference(forward_demodulation,[],[f13559,f173]) ).
fof(f173,plain,
n13 = sum(n0,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f13559,plain,
( sum(n2,n3) != sum(sum(n0,n13),n13)
| ~ spl2_4
| ~ spl2_38 ),
inference(forward_demodulation,[],[f13558,f240]) ).
fof(f240,plain,
n13 = sum(n11,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f13558,plain,
( sum(n2,n3) != sum(sum(n0,n13),sum(n11,n2))
| ~ spl2_4
| ~ spl2_38 ),
inference(forward_demodulation,[],[f13557,f190]) ).
fof(f13557,plain,
( sum(sum(n0,n13),sum(n11,n2)) != sum(sum(n0,n2),n3)
| ~ spl2_4
| ~ spl2_38 ),
inference(forward_demodulation,[],[f13556,f598]) ).
fof(f13556,plain,
( sum(sum(pred(n1),n13),sum(n11,n2)) != sum(sum(pred(n1),n2),n3)
| ~ spl2_4
| ~ spl2_38 ),
inference(forward_demodulation,[],[f13555,f677]) ).
fof(f13555,plain,
( sum(sum(pred(n1),succ(n1)),n3) != sum(sum(pred(n1),n13),sum(n11,succ(n1)))
| ~ spl2_4
| ~ spl2_38 ),
inference(backward_demodulation,[],[f13540,f852]) ).
fof(f13524,plain,
( ~ spl2_4
| ~ spl2_34 ),
inference(avatar_contradiction_clause,[],[f13523]) ).
fof(f13523,plain,
( $false
| ~ spl2_4
| ~ spl2_34 ),
inference(trivial_inequality_removal,[],[f13522]) ).
fof(f13522,plain,
( n3 != n3
| ~ spl2_4
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13521,f665]) ).
fof(f665,plain,
n3 = sum(n0,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f13521,plain,
( n3 != sum(n0,n3)
| ~ spl2_4
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13520,f546]) ).
fof(f13520,plain,
( sum(n0,n3) != sum(n12,n12)
| ~ spl2_4
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13519,f510]) ).
fof(f13519,plain,
( sum(n12,n12) != sum(sum(n20,n1),n3)
| ~ spl2_4
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13518,f159]) ).
fof(f159,plain,
n12 = sum(n20,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f13518,plain,
( sum(sum(n20,n1),n3) != sum(sum(n20,n13),n12)
| ~ spl2_4
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13517,f358]) ).
fof(f13517,plain,
( sum(sum(pred(n0),n13),n12) != sum(sum(pred(n0),n1),n3)
| ~ spl2_4
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13516,f125]) ).
fof(f13516,plain,
( sum(sum(pred(n0),n13),n12) != sum(sum(pred(n0),n1),sum(n11,n13))
| ~ spl2_4
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13515,f278]) ).
fof(f13515,plain,
( sum(sum(pred(n0),n1),sum(n11,succ(n12))) != sum(sum(pred(n0),succ(n12)),n12)
| ~ spl2_4
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13514,f112]) ).
fof(f112,plain,
n12 = sum(n11,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f13514,plain,
( sum(sum(pred(n0),n1),sum(n11,succ(n12))) != sum(sum(pred(n0),succ(n12)),sum(n11,n1))
| ~ spl2_4
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13513,f347]) ).
fof(f13513,plain,
( sum(sum(pred(n0),n1),sum(pred(n12),succ(n12))) != sum(sum(pred(n0),succ(n12)),sum(pred(n12),n1))
| ~ spl2_4
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13512,f192]) ).
fof(f13512,plain,
( sum(sum(pred(n0),succ(n0)),sum(pred(n12),succ(n12))) != sum(sum(pred(n0),succ(n12)),sum(pred(n12),succ(n0)))
| ~ spl2_4
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13491,f836]) ).
fof(f13504,plain,
( ~ spl2_4
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f13503]) ).
fof(f13503,plain,
( $false
| ~ spl2_4
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f13502]) ).
fof(f13502,plain,
( n15 != n15
| ~ spl2_4
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13501,f409]) ).
fof(f409,plain,
n15 = sum(n12,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f13501,plain,
( n15 != sum(n12,n3)
| ~ spl2_4
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13500,f679]) ).
fof(f13500,plain,
( sum(n12,n3) != sum(n18,n18)
| ~ spl2_4
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13499,f534]) ).
fof(f534,plain,
n18 = sum(n5,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f13499,plain,
( sum(n12,n3) != sum(sum(n5,n13),n18)
| ~ spl2_4
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13498,f71]) ).
fof(f71,plain,
n18 = sum(n11,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f13498,plain,
( sum(n12,n3) != sum(sum(n5,n13),sum(n11,n7))
| ~ spl2_4
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13497,f511]) ).
fof(f511,plain,
n12 = sum(n5,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f13497,plain,
( sum(sum(n5,n13),sum(n11,n7)) != sum(sum(n5,n7),n3)
| ~ spl2_4
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13496,f530]) ).
fof(f530,plain,
n5 = pred(n6),
inference(cnf_transformation,[],[f3]) ).
fof(f13496,plain,
( sum(sum(pred(n6),n13),sum(n11,n7)) != sum(sum(pred(n6),n7),n3)
| ~ spl2_4
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13495,f125]) ).
fof(f13495,plain,
( sum(sum(pred(n6),n13),sum(n11,n7)) != sum(sum(pred(n6),n7),sum(n11,n13))
| ~ spl2_4
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13494,f347]) ).
fof(f13494,plain,
( sum(sum(pred(n6),n13),sum(pred(n12),n7)) != sum(sum(pred(n6),n7),sum(pred(n12),n13))
| ~ spl2_4
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13493,f278]) ).
fof(f13493,plain,
( sum(sum(pred(n6),succ(n12)),sum(pred(n12),n7)) != sum(sum(pred(n6),n7),sum(pred(n12),succ(n12)))
| ~ spl2_4
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13492,f457]) ).
fof(f457,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f3]) ).
fof(f13492,plain,
( sum(sum(pred(n6),succ(n6)),sum(pred(n12),succ(n12))) != sum(sum(pred(n6),succ(n12)),sum(pred(n12),succ(n6)))
| ~ spl2_4
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13491,f812]) ).
fof(f812,plain,
( n6 = sK0
| ~ spl2_28 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f810,plain,
( spl2_28
<=> n6 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_28])]) ).
fof(f13467,plain,
( ~ spl2_5
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f13466]) ).
fof(f13466,plain,
( $false
| ~ spl2_5
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f13465]) ).
fof(f13465,plain,
( n5 != n5
| ~ spl2_5
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13464,f610]) ).
fof(f13464,plain,
( n5 != sum(n12,n14)
| ~ spl2_5
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13463,f66]) ).
fof(f13463,plain,
( sum(n12,n14) != sum(n13,n13)
| ~ spl2_5
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13462,f511]) ).
fof(f13462,plain,
( sum(n13,n13) != sum(sum(n5,n7),n14)
| ~ spl2_5
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13461,f91]) ).
fof(f91,plain,
n13 = sum(n5,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f13461,plain,
( sum(sum(n5,n7),n14) != sum(sum(n5,n8),n13)
| ~ spl2_5
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13460,f530]) ).
fof(f13460,plain,
( sum(sum(pred(n6),n8),n13) != sum(sum(pred(n6),n7),n14)
| ~ spl2_5
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13459,f411]) ).
fof(f411,plain,
n13 = sum(n6,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f13459,plain,
( sum(sum(pred(n6),n7),n14) != sum(sum(pred(n6),n8),sum(n6,n7))
| ~ spl2_5
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13458,f457]) ).
fof(f13458,plain,
( sum(sum(pred(n6),succ(n6)),n14) != sum(sum(pred(n6),n8),sum(n6,succ(n6)))
| ~ spl2_5
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13457,f812]) ).
fof(f13457,plain,
( sum(sum(pred(sK0),n8),sum(n6,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n14)
| ~ spl2_5 ),
inference(forward_demodulation,[],[f13456,f496]) ).
fof(f13456,plain,
( sum(sum(pred(sK0),n8),sum(n6,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n6,n8))
| ~ spl2_5 ),
inference(forward_demodulation,[],[f13455,f519]) ).
fof(f13455,plain,
( sum(sum(pred(sK0),n8),sum(pred(n7),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n7),n8))
| ~ spl2_5 ),
inference(forward_demodulation,[],[f13454,f302]) ).
fof(f13454,plain,
( sum(sum(pred(sK0),succ(n7)),sum(pred(n7),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n7),succ(n7)))
| ~ spl2_5 ),
inference(forward_demodulation,[],[f346,f719]) ).
fof(f13426,plain,
( ~ spl2_1
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f13425]) ).
fof(f13425,plain,
( $false
| ~ spl2_1
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f13424]) ).
fof(f13424,plain,
( n18 != n18
| ~ spl2_1
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13423,f357]) ).
fof(f357,plain,
n18 = sum(n9,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f13423,plain,
( n18 != sum(n9,n9)
| ~ spl2_1
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13422,f602]) ).
fof(f602,plain,
n18 = sum(n12,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f13422,plain,
( sum(n9,n9) != sum(n12,n6)
| ~ spl2_1
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13421,f511]) ).
fof(f13421,plain,
( sum(n9,n9) != sum(sum(n5,n7),n6)
| ~ spl2_1
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13420,f412]) ).
fof(f412,plain,
n9 = sum(n5,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f13420,plain,
( sum(sum(n5,n7),n6) != sum(sum(n5,n4),n9)
| ~ spl2_1
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13419,f530]) ).
fof(f13419,plain,
( sum(sum(pred(n6),n7),n6) != sum(sum(pred(n6),n4),n9)
| ~ spl2_1
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13418,f189]) ).
fof(f189,plain,
n9 = sum(n2,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f13418,plain,
( sum(sum(pred(n6),n7),n6) != sum(sum(pred(n6),n4),sum(n2,n7))
| ~ spl2_1
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13417,f457]) ).
fof(f13417,plain,
( sum(sum(pred(n6),succ(n6)),n6) != sum(sum(pred(n6),n4),sum(n2,succ(n6)))
| ~ spl2_1
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13416,f533]) ).
fof(f13416,plain,
( sum(sum(pred(n6),n4),sum(n2,succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(n2,n4))
| ~ spl2_1
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13415,f174]) ).
fof(f13415,plain,
( sum(sum(pred(n6),n4),sum(pred(n3),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(n3),n4))
| ~ spl2_1
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13414,f447]) ).
fof(f13414,plain,
( sum(sum(pred(n6),succ(n3)),sum(pred(n3),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(n3),succ(n3)))
| ~ spl2_1
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13413,f812]) ).
fof(f13413,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n3),succ(n3))) != sum(sum(pred(sK0),succ(n3)),sum(pred(n3),succ(sK0)))
| ~ spl2_1 ),
inference(forward_demodulation,[],[f346,f703]) ).
fof(f13401,plain,
( ~ spl2_6
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f13400]) ).
fof(f13400,plain,
( $false
| ~ spl2_6
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f13399]) ).
fof(f13399,plain,
( n13 != n13
| ~ spl2_6
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13398,f179]) ).
fof(f13398,plain,
( n13 != sum(n12,n1)
| ~ spl2_6
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13397,f106]) ).
fof(f13397,plain,
( sum(n12,n1) != sum(n17,n17)
| ~ spl2_6
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13396,f511]) ).
fof(f13396,plain,
( sum(n17,n17) != sum(sum(n5,n7),n1)
| ~ spl2_6
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13395,f79]) ).
fof(f79,plain,
n17 = sum(n5,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f13395,plain,
( sum(sum(n5,n7),n1) != sum(sum(n5,n12),n17)
| ~ spl2_6
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13394,f530]) ).
fof(f13394,plain,
( sum(sum(pred(n6),n7),n1) != sum(sum(pred(n6),n12),n17)
| ~ spl2_6
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13393,f308]) ).
fof(f308,plain,
n17 = sum(n10,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f13393,plain,
( sum(sum(pred(n6),n7),n1) != sum(sum(pred(n6),n12),sum(n10,n7))
| ~ spl2_6
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13392,f457]) ).
fof(f13392,plain,
( sum(sum(pred(n6),n12),sum(n10,succ(n6))) != sum(sum(pred(n6),succ(n6)),n1)
| ~ spl2_6
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13391,f812]) ).
fof(f13391,plain,
( sum(sum(pred(sK0),succ(sK0)),n1) != sum(sum(pred(sK0),n12),sum(n10,succ(sK0)))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f13390,f21]) ).
fof(f13390,plain,
( sum(sum(pred(sK0),n12),sum(n10,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n10,n12))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f13389,f266]) ).
fof(f13389,plain,
( sum(sum(pred(sK0),n12),sum(pred(n11),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n11),n12))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f13388,f641]) ).
fof(f13388,plain,
( sum(sum(pred(sK0),succ(n11)),sum(pred(n11),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n11),succ(n11)))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f346,f723]) ).
fof(f13366,plain,
( ~ spl2_3
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f13365]) ).
fof(f13365,plain,
( $false
| ~ spl2_3
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f13364]) ).
fof(f13364,plain,
( n17 != n17
| ~ spl2_3
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13363,f552]) ).
fof(f552,plain,
n17 = sum(n12,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f13363,plain,
( n17 != sum(n12,n5)
| ~ spl2_3
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13362,f210]) ).
fof(f13362,plain,
( sum(n12,n5) != sum(n19,n19)
| ~ spl2_3
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13361,f511]) ).
fof(f13361,plain,
( sum(n19,n19) != sum(sum(n5,n7),n5)
| ~ spl2_3
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13360,f400]) ).
fof(f400,plain,
n19 = sum(n5,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f13360,plain,
( sum(sum(n5,n7),n5) != sum(sum(n5,n14),n19)
| ~ spl2_3
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13359,f275]) ).
fof(f275,plain,
n19 = sum(n12,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f13359,plain,
( sum(sum(n5,n7),n5) != sum(sum(n5,n14),sum(n12,n7))
| ~ spl2_3
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13358,f530]) ).
fof(f13358,plain,
( sum(sum(pred(n6),n14),sum(n12,n7)) != sum(sum(pred(n6),n7),n5)
| ~ spl2_3
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13357,f457]) ).
fof(f13357,plain,
( sum(sum(pred(n6),n14),sum(n12,succ(n6))) != sum(sum(pred(n6),succ(n6)),n5)
| ~ spl2_3
| ~ spl2_28 ),
inference(backward_demodulation,[],[f13336,f812]) ).
fof(f13336,plain,
( sum(sum(pred(sK0),succ(sK0)),n5) != sum(sum(pred(sK0),n14),sum(n12,succ(sK0)))
| ~ spl2_3 ),
inference(forward_demodulation,[],[f13335,f610]) ).
fof(f13335,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(n12,n14)) != sum(sum(pred(sK0),n14),sum(n12,succ(sK0)))
| ~ spl2_3 ),
inference(forward_demodulation,[],[f13334,f225]) ).
fof(f13334,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n13),n14)) != sum(sum(pred(sK0),n14),sum(pred(n13),succ(sK0)))
| ~ spl2_3 ),
inference(forward_demodulation,[],[f13317,f502]) ).
fof(f13317,plain,
( sum(sum(pred(sK0),succ(n13)),sum(pred(n13),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n13),succ(n13)))
| ~ spl2_3 ),
inference(backward_demodulation,[],[f346,f711]) ).
fof(f13316,plain,
( ~ spl2_7
| ~ spl2_25 ),
inference(avatar_contradiction_clause,[],[f13315]) ).
fof(f13315,plain,
( $false
| ~ spl2_7
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f13314]) ).
fof(f13314,plain,
( n9 != n9
| ~ spl2_7
| ~ spl2_25 ),
inference(forward_demodulation,[],[f13313,f585]) ).
fof(f585,plain,
n9 = sum(n9,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f13313,plain,
( n9 != sum(n9,n0)
| ~ spl2_7
| ~ spl2_25 ),
inference(forward_demodulation,[],[f13312,f318]) ).
fof(f318,plain,
n9 = sum(n15,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f13312,plain,
( sum(n9,n0) != sum(n15,n15)
| ~ spl2_7
| ~ spl2_25 ),
inference(forward_demodulation,[],[f13311,f481]) ).
fof(f13311,plain,
( sum(n9,n0) != sum(sum(n14,n1),n15)
| ~ spl2_7
| ~ spl2_25 ),
inference(forward_demodulation,[],[f13310,f404]) ).
fof(f404,plain,
n15 = sum(n20,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f13310,plain,
( sum(n9,n0) != sum(sum(n14,n1),sum(n20,n16))
| ~ spl2_7
| ~ spl2_25 ),
inference(forward_demodulation,[],[f13309,f486]) ).
fof(f13309,plain,
( sum(sum(n14,n1),sum(n20,n16)) != sum(sum(n14,n16),n0)
| ~ spl2_7
| ~ spl2_25 ),
inference(forward_demodulation,[],[f13308,f562]) ).
fof(f13308,plain,
( sum(sum(pred(n15),n1),sum(n20,n16)) != sum(sum(pred(n15),n16),n0)
| ~ spl2_7
| ~ spl2_25 ),
inference(forward_demodulation,[],[f13307,f37]) ).
fof(f13307,plain,
( sum(sum(pred(n15),succ(n15)),n0) != sum(sum(pred(n15),n1),sum(n20,succ(n15)))
| ~ spl2_7
| ~ spl2_25 ),
inference(forward_demodulation,[],[f13256,f800]) ).
fof(f13256,plain,
( sum(sum(pred(sK0),n1),sum(n20,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n0)
| ~ spl2_7 ),
inference(forward_demodulation,[],[f13255,f510]) ).
fof(f13255,plain,
( sum(sum(pred(sK0),n1),sum(n20,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n20,n1))
| ~ spl2_7 ),
inference(forward_demodulation,[],[f13254,f192]) ).
fof(f13254,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(n20,succ(n0))) != sum(sum(pred(sK0),succ(n0)),sum(n20,succ(sK0)))
| ~ spl2_7 ),
inference(forward_demodulation,[],[f13153,f358]) ).
fof(f13153,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n0),succ(n0))) != sum(sum(pred(sK0),succ(n0)),sum(pred(n0),succ(sK0)))
| ~ spl2_7 ),
inference(forward_demodulation,[],[f346,f727]) ).
fof(f727,plain,
( n0 = sK1
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f725,plain,
( spl2_7
<=> n0 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f13284,plain,
( ~ spl2_7
| ~ spl2_38 ),
inference(avatar_contradiction_clause,[],[f13283]) ).
fof(f13283,plain,
( $false
| ~ spl2_7
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f13282]) ).
fof(f13282,plain,
( n2 != n2
| ~ spl2_7
| ~ spl2_38 ),
inference(forward_demodulation,[],[f13281,f433]) ).
fof(f13281,plain,
( n2 != sum(n1,n1)
| ~ spl2_7
| ~ spl2_38 ),
inference(forward_demodulation,[],[f13280,f12]) ).
fof(f12,plain,
n2 = sum(n2,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f13280,plain,
( sum(n1,n1) != sum(n2,n0)
| ~ spl2_7
| ~ spl2_38 ),
inference(forward_demodulation,[],[f13279,f190]) ).
fof(f13279,plain,
( sum(n1,n1) != sum(sum(n0,n2),n0)
| ~ spl2_7
| ~ spl2_38 ),
inference(forward_demodulation,[],[f13278,f398]) ).
fof(f13278,plain,
( sum(sum(n0,n2),n0) != sum(sum(n0,n1),n1)
| ~ spl2_7
| ~ spl2_38 ),
inference(forward_demodulation,[],[f13277,f598]) ).
fof(f13277,plain,
( sum(sum(pred(n1),n2),n0) != sum(sum(pred(n1),n1),n1)
| ~ spl2_7
| ~ spl2_38 ),
inference(forward_demodulation,[],[f13276,f24]) ).
fof(f24,plain,
n1 = sum(n20,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f13276,plain,
( sum(sum(pred(n1),n2),n0) != sum(sum(pred(n1),n1),sum(n20,n2))
| ~ spl2_7
| ~ spl2_38 ),
inference(forward_demodulation,[],[f13275,f677]) ).
fof(f13275,plain,
( sum(sum(pred(n1),n1),sum(n20,succ(n1))) != sum(sum(pred(n1),succ(n1)),n0)
| ~ spl2_7
| ~ spl2_38 ),
inference(backward_demodulation,[],[f13256,f852]) ).
fof(f13249,plain,
( ~ spl2_7
| ~ spl2_30 ),
inference(avatar_contradiction_clause,[],[f13248]) ).
fof(f13248,plain,
( $false
| ~ spl2_7
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f13247]) ).
fof(f13247,plain,
( n14 != n14
| ~ spl2_7
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13246,f395]) ).
fof(f13246,plain,
( n14 != sum(n7,n7)
| ~ spl2_7
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13245,f176]) ).
fof(f176,plain,
n14 = sum(n14,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f13245,plain,
( sum(n7,n7) != sum(n14,n0)
| ~ spl2_7
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13244,f311]) ).
fof(f13244,plain,
( sum(n14,n0) != sum(sum(n6,n1),n7)
| ~ spl2_7
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13243,f496]) ).
fof(f13243,plain,
( sum(sum(n6,n1),n7) != sum(sum(n6,n8),n0)
| ~ spl2_7
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13242,f510]) ).
fof(f13242,plain,
( sum(sum(n6,n1),n7) != sum(sum(n6,n8),sum(n20,n1))
| ~ spl2_7
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13241,f519]) ).
fof(f13241,plain,
( sum(sum(pred(n7),n8),sum(n20,n1)) != sum(sum(pred(n7),n1),n7)
| ~ spl2_7
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13240,f668]) ).
fof(f13240,plain,
( sum(sum(pred(n7),n8),sum(n20,n1)) != sum(sum(pred(n7),n1),sum(n20,n8))
| ~ spl2_7
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13239,f302]) ).
fof(f13239,plain,
( sum(sum(pred(n7),succ(n7)),sum(n20,n1)) != sum(sum(pred(n7),n1),sum(n20,succ(n7)))
| ~ spl2_7
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13238,f358]) ).
fof(f13238,plain,
( sum(sum(pred(n7),n1),sum(pred(n0),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(n0),n1))
| ~ spl2_7
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13237,f192]) ).
fof(f13237,plain,
( sum(sum(pred(n7),succ(n0)),sum(pred(n0),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(n0),succ(n0)))
| ~ spl2_7
| ~ spl2_30 ),
inference(forward_demodulation,[],[f13153,f820]) ).
fof(f13214,plain,
( ~ spl2_7
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f13213]) ).
fof(f13213,plain,
( $false
| ~ spl2_7
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f13212]) ).
fof(f13212,plain,
( n20 != n20
| ~ spl2_7
| ~ spl2_42 ),
inference(forward_demodulation,[],[f13211,f324]) ).
fof(f13211,plain,
( n20 != sum(n10,n10)
| ~ spl2_7
| ~ spl2_42 ),
inference(forward_demodulation,[],[f13210,f669]) ).
fof(f669,plain,
n20 = sum(n20,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f13210,plain,
( sum(n10,n10) != sum(n20,n0)
| ~ spl2_7
| ~ spl2_42 ),
inference(forward_demodulation,[],[f13209,f33]) ).
fof(f13209,plain,
( sum(n20,n0) != sum(sum(n9,n1),n10)
| ~ spl2_7
| ~ spl2_42 ),
inference(forward_demodulation,[],[f13208,f16]) ).
fof(f13208,plain,
( sum(sum(n9,n1),n10) != sum(sum(n9,n11),n0)
| ~ spl2_7
| ~ spl2_42 ),
inference(forward_demodulation,[],[f13207,f510]) ).
fof(f13207,plain,
( sum(sum(n9,n1),n10) != sum(sum(n9,n11),sum(n20,n1))
| ~ spl2_7
| ~ spl2_42 ),
inference(forward_demodulation,[],[f13206,f693]) ).
fof(f13206,plain,
( sum(sum(pred(n10),n11),sum(n20,n1)) != sum(sum(pred(n10),n1),n10)
| ~ spl2_7
| ~ spl2_42 ),
inference(forward_demodulation,[],[f13205,f103]) ).
fof(f103,plain,
n10 = sum(n20,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f13205,plain,
( sum(sum(pred(n10),n11),sum(n20,n1)) != sum(sum(pred(n10),n1),sum(n20,n11))
| ~ spl2_7
| ~ spl2_42 ),
inference(forward_demodulation,[],[f13204,f358]) ).
fof(f13204,plain,
( sum(sum(pred(n10),n1),sum(pred(n0),n11)) != sum(sum(pred(n10),n11),sum(pred(n0),n1))
| ~ spl2_7
| ~ spl2_42 ),
inference(forward_demodulation,[],[f13203,f192]) ).
fof(f13203,plain,
( sum(sum(pred(n10),succ(n0)),sum(pred(n0),n11)) != sum(sum(pred(n10),n11),sum(pred(n0),succ(n0)))
| ~ spl2_7
| ~ spl2_42 ),
inference(forward_demodulation,[],[f13202,f114]) ).
fof(f13202,plain,
( sum(sum(pred(n10),succ(n10)),sum(pred(n0),succ(n0))) != sum(sum(pred(n10),succ(n0)),sum(pred(n0),succ(n10)))
| ~ spl2_7
| ~ spl2_42 ),
inference(forward_demodulation,[],[f13153,f868]) ).
fof(f13175,plain,
( ~ spl2_7
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f13174]) ).
fof(f13174,plain,
( $false
| ~ spl2_7
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f13173]) ).
fof(f13173,plain,
( n12 != n12
| ~ spl2_7
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13172,f316]) ).
fof(f13172,plain,
( n12 != sum(n6,n6)
| ~ spl2_7
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13171,f283]) ).
fof(f283,plain,
n12 = sum(n12,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f13171,plain,
( sum(n6,n6) != sum(n12,n0)
| ~ spl2_7
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13170,f511]) ).
fof(f13170,plain,
( sum(n6,n6) != sum(sum(n5,n7),n0)
| ~ spl2_7
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13169,f166]) ).
fof(f166,plain,
n6 = sum(n5,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f13169,plain,
( sum(sum(n5,n7),n0) != sum(sum(n5,n1),n6)
| ~ spl2_7
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13168,f525]) ).
fof(f525,plain,
n6 = sum(n20,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f13168,plain,
( sum(sum(n5,n7),n0) != sum(sum(n5,n1),sum(n20,n7))
| ~ spl2_7
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13167,f530]) ).
fof(f13167,plain,
( sum(sum(pred(n6),n1),sum(n20,n7)) != sum(sum(pred(n6),n7),n0)
| ~ spl2_7
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13166,f510]) ).
fof(f13166,plain,
( sum(sum(pred(n6),n1),sum(n20,n7)) != sum(sum(pred(n6),n7),sum(n20,n1))
| ~ spl2_7
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13165,f358]) ).
fof(f13165,plain,
( sum(sum(pred(n6),n1),sum(pred(n0),n7)) != sum(sum(pred(n6),n7),sum(pred(n0),n1))
| ~ spl2_7
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13164,f457]) ).
fof(f13164,plain,
( sum(sum(pred(n6),succ(n6)),sum(pred(n0),n1)) != sum(sum(pred(n6),n1),sum(pred(n0),succ(n6)))
| ~ spl2_7
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13163,f192]) ).
fof(f13163,plain,
( sum(sum(pred(n6),succ(n0)),sum(pred(n0),succ(n6))) != sum(sum(pred(n6),succ(n6)),sum(pred(n0),succ(n0)))
| ~ spl2_7
| ~ spl2_28 ),
inference(forward_demodulation,[],[f13153,f812]) ).
fof(f13156,plain,
( ~ spl2_7
| ~ spl2_34 ),
inference(avatar_contradiction_clause,[],[f13155]) ).
fof(f13155,plain,
( $false
| ~ spl2_7
| ~ spl2_34 ),
inference(trivial_inequality_removal,[],[f13154]) ).
fof(f13154,plain,
( sum(sum(pred(n0),succ(n0)),sum(pred(n0),succ(n0))) != sum(sum(pred(n0),succ(n0)),sum(pred(n0),succ(n0)))
| ~ spl2_7
| ~ spl2_34 ),
inference(forward_demodulation,[],[f13153,f836]) ).
fof(f13099,plain,
( ~ spl2_3
| ~ spl2_23 ),
inference(avatar_contradiction_clause,[],[f13098]) ).
fof(f13098,plain,
( $false
| ~ spl2_3
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f13097]) ).
fof(f13097,plain,
( n9 != n9
| ~ spl2_3
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13096,f622]) ).
fof(f622,plain,
n9 = sum(n4,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f13096,plain,
( n9 != sum(n4,n5)
| ~ spl2_3
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13095,f318]) ).
fof(f13095,plain,
( sum(n4,n5) != sum(n15,n15)
| ~ spl2_3
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13094,f695]) ).
fof(f695,plain,
n15 = sum(n1,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f13094,plain,
( sum(n4,n5) != sum(sum(n1,n14),n15)
| ~ spl2_3
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13093,f610]) ).
fof(f13093,plain,
( sum(sum(n1,n14),n15) != sum(n4,sum(n12,n14))
| ~ spl2_3
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13092,f502]) ).
fof(f13092,plain,
( sum(sum(n1,succ(n13)),n15) != sum(n4,sum(n12,succ(n13)))
| ~ spl2_3
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13091,f409]) ).
fof(f13091,plain,
( sum(n4,sum(n12,succ(n13))) != sum(sum(n1,succ(n13)),sum(n12,n3))
| ~ spl2_3
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13086,f225]) ).
fof(f13086,plain,
( sum(n4,sum(pred(n13),succ(n13))) != sum(sum(n1,succ(n13)),sum(pred(n13),n3))
| ~ spl2_3
| ~ spl2_23 ),
inference(backward_demodulation,[],[f12995,f711]) ).
fof(f12995,plain,
( sum(n4,sum(pred(sK1),succ(sK1))) != sum(sum(n1,succ(sK1)),sum(pred(sK1),n3))
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12994,f141]) ).
fof(f141,plain,
n4 = sum(n1,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f12994,plain,
( sum(sum(n1,succ(sK1)),sum(pred(sK1),n3)) != sum(sum(n1,n3),sum(pred(sK1),succ(sK1)))
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12993,f231]) ).
fof(f231,plain,
n1 = pred(n2),
inference(cnf_transformation,[],[f3]) ).
fof(f12993,plain,
( sum(sum(pred(n2),succ(sK1)),sum(pred(sK1),n3)) != sum(sum(pred(n2),n3),sum(pred(sK1),succ(sK1)))
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12992,f184]) ).
fof(f184,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f3]) ).
fof(f12992,plain,
( sum(sum(pred(n2),succ(sK1)),sum(pred(sK1),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(sK1),succ(sK1)))
| ~ spl2_23 ),
inference(forward_demodulation,[],[f346,f792]) ).
fof(f792,plain,
( n2 = sK0
| ~ spl2_23 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f790,plain,
( spl2_23
<=> n2 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_23])]) ).
fof(f13072,plain,
( ~ spl2_5
| ~ spl2_23 ),
inference(avatar_contradiction_clause,[],[f13071]) ).
fof(f13071,plain,
( $false
| ~ spl2_5
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f13070]) ).
fof(f13070,plain,
( n18 != n18
| ~ spl2_5
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13069,f310]) ).
fof(f310,plain,
n18 = sum(n4,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f13069,plain,
( n18 != sum(n4,n14)
| ~ spl2_5
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13068,f357]) ).
fof(f13068,plain,
( sum(n4,n14) != sum(n9,n9)
| ~ spl2_5
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13067,f673]) ).
fof(f673,plain,
n9 = sum(n1,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f13067,plain,
( sum(n4,n14) != sum(sum(n1,n8),n9)
| ~ spl2_5
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13066,f545]) ).
fof(f545,plain,
n9 = sum(n6,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f13066,plain,
( sum(n4,n14) != sum(sum(n1,n8),sum(n6,n3))
| ~ spl2_5
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13065,f496]) ).
fof(f13065,plain,
( sum(sum(n1,n8),sum(n6,n3)) != sum(n4,sum(n6,n8))
| ~ spl2_5
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13064,f302]) ).
fof(f13064,plain,
( sum(sum(n1,succ(n7)),sum(n6,n3)) != sum(n4,sum(n6,succ(n7)))
| ~ spl2_5
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13063,f519]) ).
fof(f13063,plain,
( sum(n4,sum(pred(n7),succ(n7))) != sum(sum(n1,succ(n7)),sum(pred(n7),n3))
| ~ spl2_5
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12995,f719]) ).
fof(f13053,plain,
( ~ spl2_7
| ~ spl2_23 ),
inference(avatar_contradiction_clause,[],[f13052]) ).
fof(f13052,plain,
( $false
| ~ spl2_7
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f13051]) ).
fof(f13051,plain,
( n4 != n4
| ~ spl2_7
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13050,f489]) ).
fof(f13050,plain,
( n4 != sum(n2,n2)
| ~ spl2_7
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13049,f290]) ).
fof(f290,plain,
n4 = sum(n4,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f13049,plain,
( sum(n2,n2) != sum(n4,n0)
| ~ spl2_7
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13048,f433]) ).
fof(f13048,plain,
( sum(n4,n0) != sum(sum(n1,n1),n2)
| ~ spl2_7
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13047,f73]) ).
fof(f13047,plain,
( sum(n4,n0) != sum(sum(n1,n1),sum(n20,n3))
| ~ spl2_7
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13046,f510]) ).
fof(f13046,plain,
( sum(sum(n1,n1),sum(n20,n3)) != sum(n4,sum(n20,n1))
| ~ spl2_7
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13045,f358]) ).
fof(f13045,plain,
( sum(sum(n1,n1),sum(pred(n0),n3)) != sum(n4,sum(pred(n0),n1))
| ~ spl2_7
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13044,f192]) ).
fof(f13044,plain,
( sum(sum(n1,succ(n0)),sum(pred(n0),n3)) != sum(n4,sum(pred(n0),succ(n0)))
| ~ spl2_7
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12995,f727]) ).
fof(f13024,plain,
( ~ spl2_1
| ~ spl2_23 ),
inference(avatar_contradiction_clause,[],[f13023]) ).
fof(f13023,plain,
( $false
| ~ spl2_1
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f13022]) ).
fof(f13022,plain,
( n10 != n10
| ~ spl2_1
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13021,f464]) ).
fof(f464,plain,
n10 = sum(n4,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f13021,plain,
( n10 != sum(n4,n6)
| ~ spl2_1
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13020,f230]) ).
fof(f13020,plain,
( sum(n4,n6) != sum(n5,n5)
| ~ spl2_1
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13019,f533]) ).
fof(f13019,plain,
( sum(n5,n5) != sum(n4,sum(n2,n4))
| ~ spl2_1
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13018,f83]) ).
fof(f83,plain,
n5 = sum(n1,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f13018,plain,
( sum(n4,sum(n2,n4)) != sum(sum(n1,n4),n5)
| ~ spl2_1
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13017,f272]) ).
fof(f13017,plain,
( sum(n4,sum(n2,n4)) != sum(sum(n1,n4),sum(n2,n3))
| ~ spl2_1
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13016,f447]) ).
fof(f13016,plain,
( sum(sum(n1,succ(n3)),sum(n2,n3)) != sum(n4,sum(n2,succ(n3)))
| ~ spl2_1
| ~ spl2_23 ),
inference(forward_demodulation,[],[f13015,f174]) ).
fof(f13015,plain,
( sum(n4,sum(pred(n3),succ(n3))) != sum(sum(n1,succ(n3)),sum(pred(n3),n3))
| ~ spl2_1
| ~ spl2_23 ),
inference(backward_demodulation,[],[f12995,f703]) ).
fof(f12986,plain,
( ~ spl2_6
| ~ spl2_23 ),
inference(avatar_contradiction_clause,[],[f12985]) ).
fof(f12985,plain,
( $false
| ~ spl2_6
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f12984]) ).
fof(f12984,plain,
( n5 != n5
| ~ spl2_6
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12983,f299]) ).
fof(f299,plain,
n5 = sum(n4,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f12983,plain,
( n5 != sum(n4,n1)
| ~ spl2_6
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12982,f66]) ).
fof(f12982,plain,
( sum(n4,n1) != sum(n13,n13)
| ~ spl2_6
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12981,f141]) ).
fof(f12981,plain,
( sum(n13,n13) != sum(sum(n1,n3),n1)
| ~ spl2_6
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12980,f523]) ).
fof(f523,plain,
n13 = sum(n1,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f12980,plain,
( sum(sum(n1,n3),n1) != sum(sum(n1,n12),n13)
| ~ spl2_6
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12979,f160]) ).
fof(f160,plain,
n13 = sum(n10,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f12979,plain,
( sum(sum(n1,n3),n1) != sum(sum(n1,n12),sum(n10,n3))
| ~ spl2_6
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12978,f231]) ).
fof(f12978,plain,
( sum(sum(pred(n2),n12),sum(n10,n3)) != sum(sum(pred(n2),n3),n1)
| ~ spl2_6
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12977,f184]) ).
fof(f12977,plain,
( sum(sum(pred(n2),succ(n2)),n1) != sum(sum(pred(n2),n12),sum(n10,succ(n2)))
| ~ spl2_6
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12976,f792]) ).
fof(f12976,plain,
( sum(sum(pred(sK0),succ(sK0)),n1) != sum(sum(pred(sK0),n12),sum(n10,succ(sK0)))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f12975,f21]) ).
fof(f12975,plain,
( sum(sum(pred(sK0),n12),sum(n10,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n10,n12))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f12974,f266]) ).
fof(f12974,plain,
( sum(sum(pred(sK0),n12),sum(pred(n11),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n11),n12))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f12973,f641]) ).
fof(f12973,plain,
( sum(sum(pred(sK0),succ(n11)),sum(pred(n11),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n11),succ(n11)))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f346,f723]) ).
fof(f12939,plain,
( ~ spl2_4
| ~ spl2_23 ),
inference(avatar_contradiction_clause,[],[f12938]) ).
fof(f12938,plain,
( $false
| ~ spl2_4
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f12937]) ).
fof(f12937,plain,
( n7 != n7
| ~ spl2_4
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12936,f107]) ).
fof(f107,plain,
n7 = sum(n4,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f12936,plain,
( n7 != sum(n4,n3)
| ~ spl2_4
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12935,f243]) ).
fof(f12935,plain,
( sum(n4,n3) != sum(n14,n14)
| ~ spl2_4
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12934,f141]) ).
fof(f12934,plain,
( sum(n14,n14) != sum(sum(n1,n3),n3)
| ~ spl2_4
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12933,f42]) ).
fof(f42,plain,
n14 = sum(n1,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f12933,plain,
( sum(sum(n1,n3),n3) != sum(sum(n1,n13),n14)
| ~ spl2_4
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12932,f231]) ).
fof(f12932,plain,
( sum(sum(pred(n2),n13),n14) != sum(sum(pred(n2),n3),n3)
| ~ spl2_4
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12931,f633]) ).
fof(f633,plain,
n14 = sum(n11,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f12931,plain,
( sum(sum(pred(n2),n3),n3) != sum(sum(pred(n2),n13),sum(n11,n3))
| ~ spl2_4
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12930,f184]) ).
fof(f12930,plain,
( sum(sum(pred(n2),succ(n2)),n3) != sum(sum(pred(n2),n13),sum(n11,succ(n2)))
| ~ spl2_4
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12929,f125]) ).
fof(f12929,plain,
( sum(sum(pred(n2),n13),sum(n11,succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(n11,n13))
| ~ spl2_4
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12928,f347]) ).
fof(f12928,plain,
( sum(sum(pred(n2),n13),sum(pred(n12),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(n12),n13))
| ~ spl2_4
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12927,f278]) ).
fof(f12927,plain,
( sum(sum(pred(n2),succ(n12)),sum(pred(n12),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(n12),succ(n12)))
| ~ spl2_4
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12926,f792]) ).
fof(f12926,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n12),succ(n12))) != sum(sum(pred(sK0),succ(n12)),sum(pred(n12),succ(sK0)))
| ~ spl2_4 ),
inference(forward_demodulation,[],[f346,f715]) ).
fof(f12892,plain,
( ~ spl2_14
| ~ spl2_38 ),
inference(avatar_contradiction_clause,[],[f12891]) ).
fof(f12891,plain,
( $false
| ~ spl2_14
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f12890]) ).
fof(f12890,plain,
( n14 != n14
| ~ spl2_14
| ~ spl2_38 ),
inference(forward_demodulation,[],[f12889,f75]) ).
fof(f75,plain,
n14 = sum(n2,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f12889,plain,
( n14 != sum(n2,n12)
| ~ spl2_14
| ~ spl2_38 ),
inference(forward_demodulation,[],[f12888,f395]) ).
fof(f12888,plain,
( sum(n2,n12) != sum(n7,n7)
| ~ spl2_14
| ~ spl2_38 ),
inference(forward_demodulation,[],[f12887,f190]) ).
fof(f12887,plain,
( sum(n7,n7) != sum(sum(n0,n2),n12)
| ~ spl2_14
| ~ spl2_38 ),
inference(forward_demodulation,[],[f12886,f270]) ).
fof(f270,plain,
n7 = sum(n0,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f12886,plain,
( sum(sum(n0,n2),n12) != sum(sum(n0,n7),n7)
| ~ spl2_14
| ~ spl2_38 ),
inference(forward_demodulation,[],[f12885,f598]) ).
fof(f12885,plain,
( sum(sum(pred(n1),n2),n12) != sum(sum(pred(n1),n7),n7)
| ~ spl2_14
| ~ spl2_38 ),
inference(forward_demodulation,[],[f12884,f536]) ).
fof(f536,plain,
n7 = sum(n5,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f12884,plain,
( sum(sum(pred(n1),n2),n12) != sum(sum(pred(n1),n7),sum(n5,n2))
| ~ spl2_14
| ~ spl2_38 ),
inference(forward_demodulation,[],[f12883,f677]) ).
fof(f12883,plain,
( sum(sum(pred(n1),n7),sum(n5,succ(n1))) != sum(sum(pred(n1),succ(n1)),n12)
| ~ spl2_14
| ~ spl2_38 ),
inference(forward_demodulation,[],[f12695,f852]) ).
fof(f12695,plain,
( sum(sum(pred(sK0),n7),sum(n5,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n12)
| ~ spl2_14 ),
inference(forward_demodulation,[],[f12694,f511]) ).
fof(f12694,plain,
( sum(sum(pred(sK0),n7),sum(n5,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n5,n7))
| ~ spl2_14 ),
inference(forward_demodulation,[],[f12693,f457]) ).
fof(f12693,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(n5,succ(n6))) != sum(sum(pred(sK0),succ(n6)),sum(n5,succ(sK0)))
| ~ spl2_14 ),
inference(forward_demodulation,[],[f12683,f530]) ).
fof(f12683,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n6),succ(n6))) != sum(sum(pred(sK0),succ(n6)),sum(pred(n6),succ(sK0)))
| ~ spl2_14 ),
inference(backward_demodulation,[],[f346,f755]) ).
fof(f755,plain,
( n6 = sK1
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f753,plain,
( spl2_14
<=> n6 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
fof(f12872,plain,
( ~ spl2_14
| ~ spl2_30 ),
inference(avatar_contradiction_clause,[],[f12871]) ).
fof(f12871,plain,
( $false
| ~ spl2_14
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f12870]) ).
fof(f12870,plain,
( n5 != n5
| ~ spl2_14
| ~ spl2_30 ),
inference(forward_demodulation,[],[f12869,f66]) ).
fof(f12869,plain,
( n5 != sum(n13,n13)
| ~ spl2_14
| ~ spl2_30 ),
inference(forward_demodulation,[],[f12868,f53]) ).
fof(f12868,plain,
( sum(n13,n13) != sum(n14,n12)
| ~ spl2_14
| ~ spl2_30 ),
inference(forward_demodulation,[],[f12867,f496]) ).
fof(f12867,plain,
( sum(n13,n13) != sum(sum(n6,n8),n12)
| ~ spl2_14
| ~ spl2_30 ),
inference(forward_demodulation,[],[f12866,f411]) ).
fof(f12866,plain,
( sum(sum(n6,n8),n12) != sum(sum(n6,n7),n13)
| ~ spl2_14
| ~ spl2_30 ),
inference(forward_demodulation,[],[f12865,f519]) ).
fof(f12865,plain,
( sum(sum(pred(n7),n8),n12) != sum(sum(pred(n7),n7),n13)
| ~ spl2_14
| ~ spl2_30 ),
inference(forward_demodulation,[],[f12864,f91]) ).
fof(f12864,plain,
( sum(sum(pred(n7),n8),n12) != sum(sum(pred(n7),n7),sum(n5,n8))
| ~ spl2_14
| ~ spl2_30 ),
inference(forward_demodulation,[],[f12863,f302]) ).
fof(f12863,plain,
( sum(sum(pred(n7),succ(n7)),n12) != sum(sum(pred(n7),n7),sum(n5,succ(n7)))
| ~ spl2_14
| ~ spl2_30 ),
inference(forward_demodulation,[],[f12695,f820]) ).
fof(f12846,plain,
( ~ spl2_14
| ~ spl2_23 ),
inference(avatar_contradiction_clause,[],[f12845]) ).
fof(f12845,plain,
( $false
| ~ spl2_14
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f12844]) ).
fof(f12844,plain,
( n16 != n16
| ~ spl2_14
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12843,f300]) ).
fof(f300,plain,
n16 = sum(n4,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f12843,plain,
( n16 != sum(n4,n12)
| ~ spl2_14
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12842,f177]) ).
fof(f12842,plain,
( sum(n4,n12) != sum(n8,n8)
| ~ spl2_14
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12841,f141]) ).
fof(f12841,plain,
( sum(n8,n8) != sum(sum(n1,n3),n12)
| ~ spl2_14
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12840,f276]) ).
fof(f276,plain,
n8 = sum(n1,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f12840,plain,
( sum(sum(n1,n3),n12) != sum(sum(n1,n7),n8)
| ~ spl2_14
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12839,f183]) ).
fof(f183,plain,
n8 = sum(n5,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f12839,plain,
( sum(sum(n1,n3),n12) != sum(sum(n1,n7),sum(n5,n3))
| ~ spl2_14
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12838,f231]) ).
fof(f12838,plain,
( sum(sum(pred(n2),n7),sum(n5,n3)) != sum(sum(pred(n2),n3),n12)
| ~ spl2_14
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12837,f184]) ).
fof(f12837,plain,
( sum(sum(pred(n2),succ(n2)),n12) != sum(sum(pred(n2),n7),sum(n5,succ(n2)))
| ~ spl2_14
| ~ spl2_23 ),
inference(backward_demodulation,[],[f12695,f792]) ).
fof(f12816,plain,
( ~ spl2_14
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f12815]) ).
fof(f12815,plain,
( $false
| ~ spl2_14
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f12814]) ).
fof(f12814,plain,
( n11 != n11
| ~ spl2_14
| ~ spl2_42 ),
inference(forward_demodulation,[],[f12813,f193]) ).
fof(f193,plain,
n11 = sum(n16,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f12813,plain,
( n11 != sum(n16,n16)
| ~ spl2_14
| ~ spl2_42 ),
inference(forward_demodulation,[],[f12812,f15]) ).
fof(f12812,plain,
( sum(n16,n16) != sum(n20,n12)
| ~ spl2_14
| ~ spl2_42 ),
inference(forward_demodulation,[],[f12811,f306]) ).
fof(f306,plain,
n16 = sum(n9,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f12811,plain,
( sum(n20,n12) != sum(sum(n9,n7),n16)
| ~ spl2_14
| ~ spl2_42 ),
inference(forward_demodulation,[],[f12810,f16]) ).
fof(f12810,plain,
( sum(sum(n9,n7),n16) != sum(sum(n9,n11),n12)
| ~ spl2_14
| ~ spl2_42 ),
inference(forward_demodulation,[],[f12809,f649]) ).
fof(f649,plain,
n16 = sum(n5,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f12809,plain,
( sum(sum(n9,n11),n12) != sum(sum(n9,n7),sum(n5,n11))
| ~ spl2_14
| ~ spl2_42 ),
inference(forward_demodulation,[],[f12808,f693]) ).
fof(f12808,plain,
( sum(sum(pred(n10),n7),sum(n5,n11)) != sum(sum(pred(n10),n11),n12)
| ~ spl2_14
| ~ spl2_42 ),
inference(forward_demodulation,[],[f12807,f114]) ).
fof(f12807,plain,
( sum(sum(pred(n10),succ(n10)),n12) != sum(sum(pred(n10),n7),sum(n5,succ(n10)))
| ~ spl2_14
| ~ spl2_42 ),
inference(backward_demodulation,[],[f12695,f868]) ).
fof(f12783,plain,
( ~ spl2_14
| ~ spl2_25 ),
inference(avatar_contradiction_clause,[],[f12782]) ).
fof(f12782,plain,
( $false
| ~ spl2_14
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f12781]) ).
fof(f12781,plain,
( n0 != n0
| ~ spl2_14
| ~ spl2_25 ),
inference(forward_demodulation,[],[f12780,f296]) ).
fof(f12780,plain,
( n0 != sum(n0,n0)
| ~ spl2_14
| ~ spl2_25 ),
inference(forward_demodulation,[],[f12779,f25]) ).
fof(f12779,plain,
( sum(n0,n0) != sum(n9,n12)
| ~ spl2_14
| ~ spl2_25 ),
inference(forward_demodulation,[],[f12778,f486]) ).
fof(f12778,plain,
( sum(n0,n0) != sum(sum(n14,n16),n12)
| ~ spl2_14
| ~ spl2_25 ),
inference(forward_demodulation,[],[f12777,f603]) ).
fof(f603,plain,
n0 = sum(n14,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f12777,plain,
( sum(sum(n14,n16),n12) != sum(sum(n14,n7),n0)
| ~ spl2_14
| ~ spl2_25 ),
inference(forward_demodulation,[],[f12776,f59]) ).
fof(f59,plain,
n0 = sum(n5,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f12776,plain,
( sum(sum(n14,n16),n12) != sum(sum(n14,n7),sum(n5,n16))
| ~ spl2_14
| ~ spl2_25 ),
inference(forward_demodulation,[],[f12775,f562]) ).
fof(f12775,plain,
( sum(sum(pred(n15),n7),sum(n5,n16)) != sum(sum(pred(n15),n16),n12)
| ~ spl2_14
| ~ spl2_25 ),
inference(forward_demodulation,[],[f12774,f37]) ).
fof(f12774,plain,
( sum(sum(pred(n15),succ(n15)),n12) != sum(sum(pred(n15),n7),sum(n5,succ(n15)))
| ~ spl2_14
| ~ spl2_25 ),
inference(backward_demodulation,[],[f12695,f800]) ).
fof(f12753,plain,
( ~ spl2_14
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f12752]) ).
fof(f12752,plain,
( $false
| ~ spl2_14
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f12751]) ).
fof(f12751,plain,
( sum(n12,n12) != sum(n12,n12)
| ~ spl2_14
| ~ spl2_28 ),
inference(forward_demodulation,[],[f12750,f511]) ).
fof(f12750,plain,
( sum(sum(n5,n7),n12) != sum(sum(n5,n7),sum(n5,n7))
| ~ spl2_14
| ~ spl2_28 ),
inference(forward_demodulation,[],[f12749,f530]) ).
fof(f12749,plain,
( sum(sum(pred(n6),n7),sum(n5,n7)) != sum(sum(pred(n6),n7),n12)
| ~ spl2_14
| ~ spl2_28 ),
inference(forward_demodulation,[],[f12748,f457]) ).
fof(f12748,plain,
( sum(sum(pred(n6),succ(n6)),n12) != sum(sum(pred(n6),n7),sum(n5,succ(n6)))
| ~ spl2_14
| ~ spl2_28 ),
inference(forward_demodulation,[],[f12695,f812]) ).
fof(f12723,plain,
( ~ spl2_14
| ~ spl2_34 ),
inference(avatar_contradiction_clause,[],[f12722]) ).
fof(f12722,plain,
( $false
| ~ spl2_14
| ~ spl2_34 ),
inference(trivial_inequality_removal,[],[f12721]) ).
fof(f12721,plain,
( n12 != n12
| ~ spl2_14
| ~ spl2_34 ),
inference(forward_demodulation,[],[f12720,f506]) ).
fof(f12720,plain,
( n12 != sum(n0,n12)
| ~ spl2_14
| ~ spl2_34 ),
inference(forward_demodulation,[],[f12719,f316]) ).
fof(f12719,plain,
( sum(n0,n12) != sum(n6,n6)
| ~ spl2_14
| ~ spl2_34 ),
inference(forward_demodulation,[],[f12718,f510]) ).
fof(f12718,plain,
( sum(n6,n6) != sum(sum(n20,n1),n12)
| ~ spl2_14
| ~ spl2_34 ),
inference(forward_demodulation,[],[f12717,f525]) ).
fof(f12717,plain,
( sum(sum(n20,n1),n12) != sum(sum(n20,n7),n6)
| ~ spl2_14
| ~ spl2_34 ),
inference(forward_demodulation,[],[f12716,f358]) ).
fof(f12716,plain,
( sum(sum(pred(n0),n7),n6) != sum(sum(pred(n0),n1),n12)
| ~ spl2_14
| ~ spl2_34 ),
inference(forward_demodulation,[],[f12715,f166]) ).
fof(f12715,plain,
( sum(sum(pred(n0),n1),n12) != sum(sum(pred(n0),n7),sum(n5,n1))
| ~ spl2_14
| ~ spl2_34 ),
inference(forward_demodulation,[],[f12714,f192]) ).
fof(f12714,plain,
( sum(sum(pred(n0),n7),sum(n5,succ(n0))) != sum(sum(pred(n0),succ(n0)),n12)
| ~ spl2_14
| ~ spl2_34 ),
inference(backward_demodulation,[],[f12695,f836]) ).
fof(f12675,plain,
( ~ spl2_1
| ~ spl2_40 ),
inference(avatar_contradiction_clause,[],[f12674]) ).
fof(f12674,plain,
( $false
| ~ spl2_1
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f12673]) ).
fof(f12673,plain,
( n0 != n0
| ~ spl2_1
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12672,f296]) ).
fof(f12672,plain,
( n0 != sum(n0,n0)
| ~ spl2_1
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12671,f467]) ).
fof(f467,plain,
n0 = sum(n15,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f12671,plain,
( sum(n0,n0) != sum(n15,n6)
| ~ spl2_1
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12670,f650]) ).
fof(f650,plain,
n0 = sum(n17,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f12670,plain,
( sum(n15,n6) != sum(sum(n17,n4),n0)
| ~ spl2_1
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12669,f533]) ).
fof(f12669,plain,
( sum(sum(n17,n4),n0) != sum(n15,sum(n2,n4))
| ~ spl2_1
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12668,f447]) ).
fof(f12668,plain,
( sum(n15,sum(n2,succ(n3))) != sum(sum(n17,succ(n3)),n0)
| ~ spl2_1
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12667,f528]) ).
fof(f528,plain,
n0 = sum(n2,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f12667,plain,
( sum(n15,sum(n2,succ(n3))) != sum(sum(n17,succ(n3)),sum(n2,n19))
| ~ spl2_1
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12666,f174]) ).
fof(f12666,plain,
( sum(n15,sum(pred(n3),succ(n3))) != sum(sum(n17,succ(n3)),sum(pred(n3),n19))
| ~ spl2_1
| ~ spl2_40 ),
inference(backward_demodulation,[],[f12467,f703]) ).
fof(f12467,plain,
( sum(n15,sum(pred(sK1),succ(sK1))) != sum(sum(n17,succ(sK1)),sum(pred(sK1),n19))
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12466,f402]) ).
fof(f402,plain,
n15 = sum(n17,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f12466,plain,
( sum(sum(n17,succ(sK1)),sum(pred(sK1),n19)) != sum(sum(n17,n19),sum(pred(sK1),succ(sK1)))
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12465,f651]) ).
fof(f651,plain,
n17 = pred(n18),
inference(cnf_transformation,[],[f3]) ).
fof(f12465,plain,
( sum(sum(pred(n18),n19),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n18),succ(sK1)),sum(pred(sK1),n19))
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12464,f40]) ).
fof(f40,plain,
succ(n18) = n19,
inference(cnf_transformation,[],[f3]) ).
fof(f12464,plain,
( sum(sum(pred(n18),succ(sK1)),sum(pred(sK1),succ(n18))) != sum(sum(pred(n18),succ(n18)),sum(pred(sK1),succ(sK1)))
| ~ spl2_40 ),
inference(forward_demodulation,[],[f346,f860]) ).
fof(f860,plain,
( n18 = sK0
| ~ spl2_40 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f858,plain,
( spl2_40
<=> n18 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_40])]) ).
fof(f12646,plain,
( ~ spl2_14
| ~ spl2_40 ),
inference(avatar_contradiction_clause,[],[f12645]) ).
fof(f12645,plain,
( $false
| ~ spl2_14
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f12644]) ).
fof(f12644,plain,
( n6 != n6
| ~ spl2_14
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12643,f419]) ).
fof(f12643,plain,
( n6 != sum(n3,n3)
| ~ spl2_14
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12642,f222]) ).
fof(f222,plain,
n6 = sum(n15,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f12642,plain,
( sum(n3,n3) != sum(n15,n12)
| ~ spl2_14
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12641,f501]) ).
fof(f501,plain,
n3 = sum(n17,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f12641,plain,
( sum(n15,n12) != sum(sum(n17,n7),n3)
| ~ spl2_14
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12640,f553]) ).
fof(f553,plain,
n3 = sum(n5,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f12640,plain,
( sum(n15,n12) != sum(sum(n17,n7),sum(n5,n19))
| ~ spl2_14
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12639,f511]) ).
fof(f12639,plain,
( sum(sum(n17,n7),sum(n5,n19)) != sum(n15,sum(n5,n7))
| ~ spl2_14
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12638,f457]) ).
fof(f12638,plain,
( sum(sum(n17,succ(n6)),sum(n5,n19)) != sum(n15,sum(n5,succ(n6)))
| ~ spl2_14
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12637,f530]) ).
fof(f12637,plain,
( sum(n15,sum(pred(n6),succ(n6))) != sum(sum(n17,succ(n6)),sum(pred(n6),n19))
| ~ spl2_14
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12467,f755]) ).
fof(f12609,plain,
( ~ spl2_5
| ~ spl2_40 ),
inference(avatar_contradiction_clause,[],[f12608]) ).
fof(f12608,plain,
( $false
| ~ spl2_5
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f12607]) ).
fof(f12607,plain,
( n8 != n8
| ~ spl2_5
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12606,f157]) ).
fof(f12606,plain,
( n8 != sum(n4,n4)
| ~ spl2_5
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12605,f682]) ).
fof(f682,plain,
n8 = sum(n15,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f12605,plain,
( sum(n4,n4) != sum(n15,n14)
| ~ spl2_5
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12604,f453]) ).
fof(f453,plain,
n4 = sum(n17,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f12604,plain,
( sum(n15,n14) != sum(sum(n17,n8),n4)
| ~ spl2_5
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12603,f246]) ).
fof(f246,plain,
n4 = sum(n6,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f12603,plain,
( sum(n15,n14) != sum(sum(n17,n8),sum(n6,n19))
| ~ spl2_5
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12602,f496]) ).
fof(f12602,plain,
( sum(sum(n17,n8),sum(n6,n19)) != sum(n15,sum(n6,n8))
| ~ spl2_5
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12601,f302]) ).
fof(f12601,plain,
( sum(sum(n17,succ(n7)),sum(n6,n19)) != sum(n15,sum(n6,succ(n7)))
| ~ spl2_5
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12600,f519]) ).
fof(f12600,plain,
( sum(n15,sum(pred(n7),succ(n7))) != sum(sum(n17,succ(n7)),sum(pred(n7),n19))
| ~ spl2_5
| ~ spl2_40 ),
inference(backward_demodulation,[],[f12467,f719]) ).
fof(f12588,plain,
( ~ spl2_3
| ~ spl2_40 ),
inference(avatar_contradiction_clause,[],[f12587]) ).
fof(f12587,plain,
( $false
| ~ spl2_3
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f12586]) ).
fof(f12586,plain,
( n20 != n20
| ~ spl2_3
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12585,f324]) ).
fof(f12585,plain,
( n20 != sum(n10,n10)
| ~ spl2_3
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12584,f646]) ).
fof(f646,plain,
n20 = sum(n15,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f12584,plain,
( sum(n10,n10) != sum(n15,n5)
| ~ spl2_3
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12583,f561]) ).
fof(f561,plain,
n10 = sum(n17,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f12583,plain,
( sum(n15,n5) != sum(sum(n17,n14),n10)
| ~ spl2_3
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12582,f452]) ).
fof(f452,plain,
n10 = sum(n12,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f12582,plain,
( sum(n15,n5) != sum(sum(n17,n14),sum(n12,n19))
| ~ spl2_3
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12581,f610]) ).
fof(f12581,plain,
( sum(sum(n17,n14),sum(n12,n19)) != sum(n15,sum(n12,n14))
| ~ spl2_3
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12580,f502]) ).
fof(f12580,plain,
( sum(sum(n17,succ(n13)),sum(n12,n19)) != sum(n15,sum(n12,succ(n13)))
| ~ spl2_3
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12579,f225]) ).
fof(f12579,plain,
( sum(n15,sum(pred(n13),succ(n13))) != sum(sum(n17,succ(n13)),sum(pred(n13),n19))
| ~ spl2_3
| ~ spl2_40 ),
inference(backward_demodulation,[],[f12467,f711]) ).
fof(f12550,plain,
( ~ spl2_4
| ~ spl2_40 ),
inference(avatar_contradiction_clause,[],[f12549]) ).
fof(f12549,plain,
( $false
| ~ spl2_4
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f12548]) ).
fof(f12548,plain,
( n18 != n18
| ~ spl2_4
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12547,f357]) ).
fof(f12547,plain,
( n18 != sum(n9,n9)
| ~ spl2_4
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12546,f62]) ).
fof(f62,plain,
n18 = sum(n15,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f12546,plain,
( sum(n9,n9) != sum(n15,n3)
| ~ spl2_4
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12545,f125]) ).
fof(f12545,plain,
( sum(n9,n9) != sum(n15,sum(n11,n13))
| ~ spl2_4
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12544,f139]) ).
fof(f139,plain,
n9 = sum(n17,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f12544,plain,
( sum(n15,sum(n11,n13)) != sum(sum(n17,n13),n9)
| ~ spl2_4
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12543,f4]) ).
fof(f4,plain,
n9 = sum(n11,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f12543,plain,
( sum(n15,sum(n11,n13)) != sum(sum(n17,n13),sum(n11,n19))
| ~ spl2_4
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12542,f347]) ).
fof(f12542,plain,
( sum(n15,sum(pred(n12),n13)) != sum(sum(n17,n13),sum(pred(n12),n19))
| ~ spl2_4
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12541,f278]) ).
fof(f12541,plain,
( sum(sum(n17,succ(n12)),sum(pred(n12),n19)) != sum(n15,sum(pred(n12),succ(n12)))
| ~ spl2_4
| ~ spl2_40 ),
inference(backward_demodulation,[],[f12467,f715]) ).
fof(f12523,plain,
( ~ spl2_6
| ~ spl2_40 ),
inference(avatar_contradiction_clause,[],[f12522]) ).
fof(f12522,plain,
( $false
| ~ spl2_6
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f12521]) ).
fof(f12521,plain,
( n16 != n16
| ~ spl2_6
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12520,f177]) ).
fof(f12520,plain,
( n16 != sum(n8,n8)
| ~ spl2_6
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12519,f428]) ).
fof(f428,plain,
n16 = sum(n15,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f12519,plain,
( sum(n8,n8) != sum(n15,n1)
| ~ spl2_6
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12518,f81]) ).
fof(f81,plain,
n8 = sum(n17,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f12518,plain,
( sum(n15,n1) != sum(sum(n17,n12),n8)
| ~ spl2_6
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12517,f10]) ).
fof(f10,plain,
n8 = sum(n10,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f12517,plain,
( sum(n15,n1) != sum(sum(n17,n12),sum(n10,n19))
| ~ spl2_6
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12516,f21]) ).
fof(f12516,plain,
( sum(sum(n17,n12),sum(n10,n19)) != sum(n15,sum(n10,n12))
| ~ spl2_6
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12515,f641]) ).
fof(f12515,plain,
( sum(sum(n17,succ(n11)),sum(n10,n19)) != sum(n15,sum(n10,succ(n11)))
| ~ spl2_6
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12514,f266]) ).
fof(f12514,plain,
( sum(n15,sum(pred(n11),succ(n11))) != sum(sum(n17,succ(n11)),sum(pred(n11),n19))
| ~ spl2_6
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12467,f723]) ).
fof(f12486,plain,
( ~ spl2_7
| ~ spl2_40 ),
inference(avatar_contradiction_clause,[],[f12485]) ).
fof(f12485,plain,
( $false
| ~ spl2_7
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f12484]) ).
fof(f12484,plain,
( n15 != n15
| ~ spl2_7
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12483,f292]) ).
fof(f292,plain,
n15 = sum(n15,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f12483,plain,
( n15 != sum(n15,n0)
| ~ spl2_7
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12482,f679]) ).
fof(f12482,plain,
( sum(n15,n0) != sum(n18,n18)
| ~ spl2_7
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12481,f137]) ).
fof(f137,plain,
n18 = sum(n17,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f12481,plain,
( sum(n15,n0) != sum(sum(n17,n1),n18)
| ~ spl2_7
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12480,f223]) ).
fof(f223,plain,
n18 = sum(n20,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f12480,plain,
( sum(n15,n0) != sum(sum(n17,n1),sum(n20,n19))
| ~ spl2_7
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12479,f510]) ).
fof(f12479,plain,
( sum(sum(n17,n1),sum(n20,n19)) != sum(n15,sum(n20,n1))
| ~ spl2_7
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12478,f358]) ).
fof(f12478,plain,
( sum(n15,sum(pred(n0),n1)) != sum(sum(n17,n1),sum(pred(n0),n19))
| ~ spl2_7
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12477,f192]) ).
fof(f12477,plain,
( sum(sum(n17,succ(n0)),sum(pred(n0),n19)) != sum(n15,sum(pred(n0),succ(n0)))
| ~ spl2_7
| ~ spl2_40 ),
inference(backward_demodulation,[],[f12467,f727]) ).
fof(f12439,plain,
( ~ spl2_13
| ~ spl2_30 ),
inference(avatar_contradiction_clause,[],[f12438]) ).
fof(f12438,plain,
( $false
| ~ spl2_13
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f12437]) ).
fof(f12437,plain,
( n3 != n3
| ~ spl2_13
| ~ spl2_30 ),
inference(forward_demodulation,[],[f12436,f546]) ).
fof(f12436,plain,
( n3 != sum(n12,n12)
| ~ spl2_13
| ~ spl2_30 ),
inference(forward_demodulation,[],[f12435,f514]) ).
fof(f514,plain,
n3 = sum(n14,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f12435,plain,
( sum(n12,n12) != sum(n14,n10)
| ~ spl2_13
| ~ spl2_30 ),
inference(forward_demodulation,[],[f12434,f316]) ).
fof(f12434,plain,
( sum(n14,n10) != sum(sum(n6,n6),n12)
| ~ spl2_13
| ~ spl2_30 ),
inference(forward_demodulation,[],[f12433,f118]) ).
fof(f118,plain,
n12 = sum(n4,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f12433,plain,
( sum(n14,n10) != sum(sum(n6,n6),sum(n4,n8))
| ~ spl2_13
| ~ spl2_30 ),
inference(forward_demodulation,[],[f12432,f496]) ).
fof(f12432,plain,
( sum(sum(n6,n6),sum(n4,n8)) != sum(sum(n6,n8),n10)
| ~ spl2_13
| ~ spl2_30 ),
inference(forward_demodulation,[],[f12431,f519]) ).
fof(f12431,plain,
( sum(sum(pred(n7),n6),sum(n4,n8)) != sum(sum(pred(n7),n8),n10)
| ~ spl2_13
| ~ spl2_30 ),
inference(forward_demodulation,[],[f12430,f302]) ).
fof(f12430,plain,
( sum(sum(pred(n7),succ(n7)),n10) != sum(sum(pred(n7),n6),sum(n4,succ(n7)))
| ~ spl2_13
| ~ spl2_30 ),
inference(backward_demodulation,[],[f12206,f820]) ).
fof(f12206,plain,
( sum(sum(pred(sK0),succ(sK0)),n10) != sum(sum(pred(sK0),n6),sum(n4,succ(sK0)))
| ~ spl2_13 ),
inference(forward_demodulation,[],[f12205,f464]) ).
fof(f12205,plain,
( sum(sum(pred(sK0),n6),sum(n4,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n4,n6))
| ~ spl2_13 ),
inference(forward_demodulation,[],[f12204,f126]) ).
fof(f126,plain,
n4 = pred(n5),
inference(cnf_transformation,[],[f3]) ).
fof(f12204,plain,
( sum(sum(pred(sK0),n6),sum(pred(n5),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n5),n6))
| ~ spl2_13 ),
inference(forward_demodulation,[],[f12203,f692]) ).
fof(f692,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f3]) ).
fof(f12203,plain,
( sum(sum(pred(sK0),succ(n5)),sum(pred(n5),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n5),succ(n5)))
| ~ spl2_13 ),
inference(forward_demodulation,[],[f346,f751]) ).
fof(f751,plain,
( n5 = sK1
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f749,plain,
( spl2_13
<=> n5 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).
fof(f12417,plain,
( ~ spl2_13
| ~ spl2_38 ),
inference(avatar_contradiction_clause,[],[f12416]) ).
fof(f12416,plain,
( $false
| ~ spl2_13
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f12415]) ).
fof(f12415,plain,
( n12 != n12
| ~ spl2_13
| ~ spl2_38 ),
inference(forward_demodulation,[],[f12414,f639]) ).
fof(f639,plain,
n12 = sum(n2,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f12414,plain,
( n12 != sum(n2,n10)
| ~ spl2_13
| ~ spl2_38 ),
inference(forward_demodulation,[],[f12413,f316]) ).
fof(f12413,plain,
( sum(n2,n10) != sum(n6,n6)
| ~ spl2_13
| ~ spl2_38 ),
inference(forward_demodulation,[],[f12412,f271]) ).
fof(f12412,plain,
( sum(n2,n10) != sum(sum(n0,n6),n6)
| ~ spl2_13
| ~ spl2_38 ),
inference(forward_demodulation,[],[f12411,f190]) ).
fof(f12411,plain,
( sum(sum(n0,n6),n6) != sum(sum(n0,n2),n10)
| ~ spl2_13
| ~ spl2_38 ),
inference(forward_demodulation,[],[f12410,f17]) ).
fof(f17,plain,
n6 = sum(n4,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f12410,plain,
( sum(sum(n0,n2),n10) != sum(sum(n0,n6),sum(n4,n2))
| ~ spl2_13
| ~ spl2_38 ),
inference(forward_demodulation,[],[f12409,f598]) ).
fof(f12409,plain,
( sum(sum(pred(n1),n6),sum(n4,n2)) != sum(sum(pred(n1),n2),n10)
| ~ spl2_13
| ~ spl2_38 ),
inference(forward_demodulation,[],[f12408,f677]) ).
fof(f12408,plain,
( sum(sum(pred(n1),n6),sum(n4,succ(n1))) != sum(sum(pred(n1),succ(n1)),n10)
| ~ spl2_13
| ~ spl2_38 ),
inference(forward_demodulation,[],[f12206,f852]) ).
fof(f12388,plain,
( ~ spl2_13
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f12387]) ).
fof(f12387,plain,
( $false
| ~ spl2_13
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f12386]) ).
fof(f12386,plain,
( n9 != n9
| ~ spl2_13
| ~ spl2_42 ),
inference(forward_demodulation,[],[f12385,f318]) ).
fof(f12385,plain,
( n9 != sum(n15,n15)
| ~ spl2_13
| ~ spl2_42 ),
inference(forward_demodulation,[],[f12384,f232]) ).
fof(f232,plain,
n9 = sum(n20,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f12384,plain,
( sum(n15,n15) != sum(n20,n10)
| ~ spl2_13
| ~ spl2_42 ),
inference(forward_demodulation,[],[f12383,f264]) ).
fof(f12383,plain,
( sum(n20,n10) != sum(sum(n9,n6),n15)
| ~ spl2_13
| ~ spl2_42 ),
inference(forward_demodulation,[],[f12382,f16]) ).
fof(f12382,plain,
( sum(sum(n9,n6),n15) != sum(sum(n9,n11),n10)
| ~ spl2_13
| ~ spl2_42 ),
inference(forward_demodulation,[],[f12381,f152]) ).
fof(f152,plain,
n15 = sum(n4,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f12381,plain,
( sum(sum(n9,n11),n10) != sum(sum(n9,n6),sum(n4,n11))
| ~ spl2_13
| ~ spl2_42 ),
inference(forward_demodulation,[],[f12380,f693]) ).
fof(f12380,plain,
( sum(sum(pred(n10),n6),sum(n4,n11)) != sum(sum(pred(n10),n11),n10)
| ~ spl2_13
| ~ spl2_42 ),
inference(forward_demodulation,[],[f12379,f114]) ).
fof(f12379,plain,
( sum(sum(pred(n10),succ(n10)),n10) != sum(sum(pred(n10),n6),sum(n4,succ(n10)))
| ~ spl2_13
| ~ spl2_42 ),
inference(forward_demodulation,[],[f12206,f868]) ).
fof(f12343,plain,
( ~ spl2_13
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f12342]) ).
fof(f12342,plain,
( $false
| ~ spl2_13
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f12341]) ).
fof(f12341,plain,
( n1 != n1
| ~ spl2_13
| ~ spl2_28 ),
inference(forward_demodulation,[],[f12340,f470]) ).
fof(f12340,plain,
( n1 != sum(n11,n11)
| ~ spl2_13
| ~ spl2_28 ),
inference(forward_demodulation,[],[f12339,f440]) ).
fof(f440,plain,
n1 = sum(n12,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f12339,plain,
( sum(n11,n11) != sum(n12,n10)
| ~ spl2_13
| ~ spl2_28 ),
inference(forward_demodulation,[],[f12338,f172]) ).
fof(f172,plain,
n11 = sum(n5,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f12338,plain,
( sum(n12,n10) != sum(sum(n5,n6),n11)
| ~ spl2_13
| ~ spl2_28 ),
inference(forward_demodulation,[],[f12337,f148]) ).
fof(f148,plain,
n11 = sum(n4,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f12337,plain,
( sum(n12,n10) != sum(sum(n5,n6),sum(n4,n7))
| ~ spl2_13
| ~ spl2_28 ),
inference(forward_demodulation,[],[f12336,f511]) ).
fof(f12336,plain,
( sum(sum(n5,n6),sum(n4,n7)) != sum(sum(n5,n7),n10)
| ~ spl2_13
| ~ spl2_28 ),
inference(forward_demodulation,[],[f12335,f530]) ).
fof(f12335,plain,
( sum(sum(pred(n6),n6),sum(n4,n7)) != sum(sum(pred(n6),n7),n10)
| ~ spl2_13
| ~ spl2_28 ),
inference(forward_demodulation,[],[f12334,f457]) ).
fof(f12334,plain,
( sum(sum(pred(n6),n6),sum(n4,succ(n6))) != sum(sum(pred(n6),succ(n6)),n10)
| ~ spl2_13
| ~ spl2_28 ),
inference(forward_demodulation,[],[f12206,f812]) ).
fof(f12330,plain,
( ~ spl2_13
| ~ spl2_25 ),
inference(avatar_contradiction_clause,[],[f12329]) ).
fof(f12329,plain,
( $false
| ~ spl2_13
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f12328]) ).
fof(f12328,plain,
( n19 != n19
| ~ spl2_13
| ~ spl2_25 ),
inference(forward_demodulation,[],[f12327,f61]) ).
fof(f61,plain,
n19 = sum(n9,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f12327,plain,
( n19 != sum(n9,n10)
| ~ spl2_13
| ~ spl2_25 ),
inference(forward_demodulation,[],[f12326,f119]) ).
fof(f12326,plain,
( sum(n9,n10) != sum(n20,n20)
| ~ spl2_13
| ~ spl2_25 ),
inference(forward_demodulation,[],[f12325,f317]) ).
fof(f12325,plain,
( sum(n9,n10) != sum(sum(n14,n6),n20)
| ~ spl2_13
| ~ spl2_25 ),
inference(forward_demodulation,[],[f12324,f211]) ).
fof(f211,plain,
n20 = sum(n4,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f12324,plain,
( sum(n9,n10) != sum(sum(n14,n6),sum(n4,n16))
| ~ spl2_13
| ~ spl2_25 ),
inference(forward_demodulation,[],[f12323,f486]) ).
fof(f12323,plain,
( sum(sum(n14,n6),sum(n4,n16)) != sum(sum(n14,n16),n10)
| ~ spl2_13
| ~ spl2_25 ),
inference(forward_demodulation,[],[f12322,f562]) ).
fof(f12322,plain,
( sum(sum(pred(n15),n6),sum(n4,n16)) != sum(sum(pred(n15),n16),n10)
| ~ spl2_13
| ~ spl2_25 ),
inference(forward_demodulation,[],[f12321,f37]) ).
fof(f12321,plain,
( sum(sum(pred(n15),n6),sum(n4,succ(n15))) != sum(sum(pred(n15),succ(n15)),n10)
| ~ spl2_13
| ~ spl2_25 ),
inference(forward_demodulation,[],[f12206,f800]) ).
fof(f12299,plain,
( ~ spl2_13
| ~ spl2_23 ),
inference(avatar_contradiction_clause,[],[f12298]) ).
fof(f12298,plain,
( $false
| ~ spl2_13
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f12297]) ).
fof(f12297,plain,
( n14 != n14
| ~ spl2_13
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12296,f640]) ).
fof(f640,plain,
n14 = sum(n4,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f12296,plain,
( n14 != sum(n4,n10)
| ~ spl2_13
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12295,f395]) ).
fof(f12295,plain,
( sum(n4,n10) != sum(n7,n7)
| ~ spl2_13
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12294,f49]) ).
fof(f49,plain,
n7 = sum(n1,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f12294,plain,
( sum(n4,n10) != sum(sum(n1,n6),n7)
| ~ spl2_13
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12293,f107]) ).
fof(f12293,plain,
( sum(n4,n10) != sum(sum(n1,n6),sum(n4,n3))
| ~ spl2_13
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12292,f141]) ).
fof(f12292,plain,
( sum(sum(n1,n6),sum(n4,n3)) != sum(sum(n1,n3),n10)
| ~ spl2_13
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12291,f231]) ).
fof(f12291,plain,
( sum(sum(pred(n2),n6),sum(n4,n3)) != sum(sum(pred(n2),n3),n10)
| ~ spl2_13
| ~ spl2_23 ),
inference(forward_demodulation,[],[f12290,f184]) ).
fof(f12290,plain,
( sum(sum(pred(n2),n6),sum(n4,succ(n2))) != sum(sum(pred(n2),succ(n2)),n10)
| ~ spl2_13
| ~ spl2_23 ),
inference(backward_demodulation,[],[f12206,f792]) ).
fof(f12258,plain,
( ~ spl2_13
| ~ spl2_40 ),
inference(avatar_contradiction_clause,[],[f12257]) ).
fof(f12257,plain,
( $false
| ~ spl2_13
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f12256]) ).
fof(f12256,plain,
( n4 != n4
| ~ spl2_13
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12255,f489]) ).
fof(f12255,plain,
( n4 != sum(n2,n2)
| ~ spl2_13
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12254,f229]) ).
fof(f229,plain,
n4 = sum(n15,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f12254,plain,
( sum(n2,n2) != sum(n15,n10)
| ~ spl2_13
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12253,f198]) ).
fof(f198,plain,
n2 = sum(n17,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f12253,plain,
( sum(n15,n10) != sum(sum(n17,n6),n2)
| ~ spl2_13
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12252,f402]) ).
fof(f12252,plain,
( sum(sum(n17,n6),n2) != sum(sum(n17,n19),n10)
| ~ spl2_13
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12251,f259]) ).
fof(f259,plain,
n2 = sum(n4,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f12251,plain,
( sum(sum(n17,n19),n10) != sum(sum(n17,n6),sum(n4,n19))
| ~ spl2_13
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12250,f651]) ).
fof(f12250,plain,
( sum(sum(pred(n18),n6),sum(n4,n19)) != sum(sum(pred(n18),n19),n10)
| ~ spl2_13
| ~ spl2_40 ),
inference(forward_demodulation,[],[f12249,f40]) ).
fof(f12249,plain,
( sum(sum(pred(n18),n6),sum(n4,succ(n18))) != sum(sum(pred(n18),succ(n18)),n10)
| ~ spl2_13
| ~ spl2_40 ),
inference(backward_demodulation,[],[f12206,f860]) ).
fof(f12216,plain,
( ~ spl2_13
| ~ spl2_34 ),
inference(avatar_contradiction_clause,[],[f12215]) ).
fof(f12215,plain,
( $false
| ~ spl2_13
| ~ spl2_34 ),
inference(trivial_inequality_removal,[],[f12214]) ).
fof(f12214,plain,
( n10 != n10
| ~ spl2_13
| ~ spl2_34 ),
inference(forward_demodulation,[],[f12213,f54]) ).
fof(f54,plain,
n10 = sum(n0,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f12213,plain,
( n10 != sum(n0,n10)
| ~ spl2_13
| ~ spl2_34 ),
inference(forward_demodulation,[],[f12212,f230]) ).
fof(f12212,plain,
( sum(n0,n10) != sum(n5,n5)
| ~ spl2_13
| ~ spl2_34 ),
inference(forward_demodulation,[],[f12211,f510]) ).
fof(f12211,plain,
( sum(n5,n5) != sum(sum(n20,n1),n10)
| ~ spl2_13
| ~ spl2_34 ),
inference(forward_demodulation,[],[f12210,f219]) ).
fof(f12210,plain,
( sum(sum(n20,n1),n10) != sum(sum(n20,n6),n5)
| ~ spl2_13
| ~ spl2_34 ),
inference(forward_demodulation,[],[f12209,f358]) ).
fof(f12209,plain,
( sum(sum(pred(n0),n1),n10) != sum(sum(pred(n0),n6),n5)
| ~ spl2_13
| ~ spl2_34 ),
inference(forward_demodulation,[],[f12208,f299]) ).
fof(f12208,plain,
( sum(sum(pred(n0),n1),n10) != sum(sum(pred(n0),n6),sum(n4,n1))
| ~ spl2_13
| ~ spl2_34 ),
inference(forward_demodulation,[],[f12207,f192]) ).
fof(f12207,plain,
( sum(sum(pred(n0),n6),sum(n4,succ(n0))) != sum(sum(pred(n0),succ(n0)),n10)
| ~ spl2_13
| ~ spl2_34 ),
inference(forward_demodulation,[],[f12206,f836]) ).
fof(f12180,plain,
( ~ spl2_6
| ~ spl2_36 ),
inference(avatar_contradiction_clause,[],[f12179]) ).
fof(f12179,plain,
( $false
| ~ spl2_6
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f12178]) ).
fof(f12178,plain,
( n19 != n19
| ~ spl2_6
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12177,f500]) ).
fof(f500,plain,
n19 = sum(n18,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f12177,plain,
( n19 != sum(n18,n1)
| ~ spl2_6
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12176,f119]) ).
fof(f12176,plain,
( sum(n18,n1) != sum(n20,n20)
| ~ spl2_6
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12175,f21]) ).
fof(f12175,plain,
( sum(n20,n20) != sum(n18,sum(n10,n12))
| ~ spl2_6
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12174,f336]) ).
fof(f336,plain,
n20 = sum(n8,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f12174,plain,
( sum(n18,sum(n10,n12)) != sum(sum(n8,n12),n20)
| ~ spl2_6
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12173,f324]) ).
fof(f12173,plain,
( sum(n18,sum(n10,n12)) != sum(sum(n8,n12),sum(n10,n10))
| ~ spl2_6
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12172,f266]) ).
fof(f12172,plain,
( sum(n18,sum(pred(n11),n12)) != sum(sum(n8,n12),sum(pred(n11),n10))
| ~ spl2_6
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12171,f641]) ).
fof(f12171,plain,
( sum(sum(n8,succ(n11)),sum(pred(n11),n10)) != sum(n18,sum(pred(n11),succ(n11)))
| ~ spl2_6
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11978,f723]) ).
fof(f11978,plain,
( sum(n18,sum(pred(sK1),succ(sK1))) != sum(sum(n8,succ(sK1)),sum(pred(sK1),n10))
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11977,f391]) ).
fof(f391,plain,
n18 = sum(n8,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f11977,plain,
( sum(sum(n8,n10),sum(pred(sK1),succ(sK1))) != sum(sum(n8,succ(sK1)),sum(pred(sK1),n10))
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11976,f333]) ).
fof(f333,plain,
n8 = pred(n9),
inference(cnf_transformation,[],[f3]) ).
fof(f11976,plain,
( sum(sum(pred(n9),succ(sK1)),sum(pred(sK1),n10)) != sum(sum(pred(n9),n10),sum(pred(sK1),succ(sK1)))
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11975,f699]) ).
fof(f699,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f3]) ).
fof(f11975,plain,
( sum(sum(pred(n9),succ(sK1)),sum(pred(sK1),succ(n9))) != sum(sum(pred(n9),succ(n9)),sum(pred(sK1),succ(sK1)))
| ~ spl2_36 ),
inference(forward_demodulation,[],[f346,f844]) ).
fof(f844,plain,
( n9 = sK0
| ~ spl2_36 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f842,plain,
( spl2_36
<=> n9 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_36])]) ).
fof(f12147,plain,
( ~ spl2_13
| ~ spl2_36 ),
inference(avatar_contradiction_clause,[],[f12146]) ).
fof(f12146,plain,
( $false
| ~ spl2_13
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f12145]) ).
fof(f12145,plain,
( n7 != n7
| ~ spl2_13
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12144,f243]) ).
fof(f12144,plain,
( n7 != sum(n14,n14)
| ~ spl2_13
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12143,f520]) ).
fof(f520,plain,
n7 = sum(n18,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f12143,plain,
( sum(n14,n14) != sum(n18,n10)
| ~ spl2_13
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12142,f44]) ).
fof(f44,plain,
n14 = sum(n8,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f12142,plain,
( sum(n18,n10) != sum(sum(n8,n6),n14)
| ~ spl2_13
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12141,f464]) ).
fof(f12141,plain,
( sum(sum(n8,n6),n14) != sum(n18,sum(n4,n6))
| ~ spl2_13
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12140,f640]) ).
fof(f12140,plain,
( sum(n18,sum(n4,n6)) != sum(sum(n8,n6),sum(n4,n10))
| ~ spl2_13
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12139,f126]) ).
fof(f12139,plain,
( sum(n18,sum(pred(n5),n6)) != sum(sum(n8,n6),sum(pred(n5),n10))
| ~ spl2_13
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12138,f692]) ).
fof(f12138,plain,
( sum(sum(n8,succ(n5)),sum(pred(n5),n10)) != sum(n18,sum(pred(n5),succ(n5)))
| ~ spl2_13
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11978,f751]) ).
fof(f12117,plain,
( ~ spl2_14
| ~ spl2_36 ),
inference(avatar_contradiction_clause,[],[f12116]) ).
fof(f12116,plain,
( $false
| ~ spl2_14
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f12115]) ).
fof(f12115,plain,
( n9 != n9
| ~ spl2_14
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12114,f318]) ).
fof(f12114,plain,
( n9 != sum(n15,n15)
| ~ spl2_14
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12113,f601]) ).
fof(f601,plain,
n9 = sum(n18,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f12113,plain,
( sum(n15,n15) != sum(n18,n12)
| ~ spl2_14
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12112,f511]) ).
fof(f12112,plain,
( sum(n15,n15) != sum(n18,sum(n5,n7))
| ~ spl2_14
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12111,f34]) ).
fof(f34,plain,
n15 = sum(n8,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f12111,plain,
( sum(n18,sum(n5,n7)) != sum(sum(n8,n7),n15)
| ~ spl2_14
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12110,f457]) ).
fof(f12110,plain,
( sum(sum(n8,succ(n6)),n15) != sum(n18,sum(n5,succ(n6)))
| ~ spl2_14
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12109,f145]) ).
fof(f145,plain,
n15 = sum(n5,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f12109,plain,
( sum(n18,sum(n5,succ(n6))) != sum(sum(n8,succ(n6)),sum(n5,n10))
| ~ spl2_14
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12108,f530]) ).
fof(f12108,plain,
( sum(n18,sum(pred(n6),succ(n6))) != sum(sum(n8,succ(n6)),sum(pred(n6),n10))
| ~ spl2_14
| ~ spl2_36 ),
inference(backward_demodulation,[],[f11978,f755]) ).
fof(f12090,plain,
( ~ spl2_3
| ~ spl2_36 ),
inference(avatar_contradiction_clause,[],[f12089]) ).
fof(f12089,plain,
( $false
| ~ spl2_3
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f12088]) ).
fof(f12088,plain,
( n2 != n2
| ~ spl2_3
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12087,f433]) ).
fof(f12087,plain,
( n2 != sum(n1,n1)
| ~ spl2_3
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12086,f420]) ).
fof(f420,plain,
n2 = sum(n18,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f12086,plain,
( sum(n1,n1) != sum(n18,n5)
| ~ spl2_3
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12085,f658]) ).
fof(f658,plain,
n1 = sum(n8,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f12085,plain,
( sum(n18,n5) != sum(sum(n8,n14),n1)
| ~ spl2_3
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12084,f440]) ).
fof(f12084,plain,
( sum(n18,n5) != sum(sum(n8,n14),sum(n12,n10))
| ~ spl2_3
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12083,f610]) ).
fof(f12083,plain,
( sum(sum(n8,n14),sum(n12,n10)) != sum(n18,sum(n12,n14))
| ~ spl2_3
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12082,f225]) ).
fof(f12082,plain,
( sum(sum(n8,n14),sum(pred(n13),n10)) != sum(n18,sum(pred(n13),n14))
| ~ spl2_3
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12081,f502]) ).
fof(f12081,plain,
( sum(sum(n8,succ(n13)),sum(pred(n13),n10)) != sum(n18,sum(pred(n13),succ(n13)))
| ~ spl2_3
| ~ spl2_36 ),
inference(backward_demodulation,[],[f11978,f711]) ).
fof(f12058,plain,
( ~ spl2_7
| ~ spl2_36 ),
inference(avatar_contradiction_clause,[],[f12057]) ).
fof(f12057,plain,
( $false
| ~ spl2_7
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f12056]) ).
fof(f12056,plain,
( n18 != n18
| ~ spl2_7
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12055,f357]) ).
fof(f12055,plain,
( n18 != sum(n9,n9)
| ~ spl2_7
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12054,f407]) ).
fof(f407,plain,
n18 = sum(n18,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f12054,plain,
( sum(n9,n9) != sum(n18,n0)
| ~ spl2_7
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12053,f510]) ).
fof(f12053,plain,
( sum(n9,n9) != sum(n18,sum(n20,n1))
| ~ spl2_7
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12052,f638]) ).
fof(f638,plain,
n9 = sum(n8,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f12052,plain,
( sum(n18,sum(n20,n1)) != sum(sum(n8,n1),n9)
| ~ spl2_7
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12051,f232]) ).
fof(f12051,plain,
( sum(n18,sum(n20,n1)) != sum(sum(n8,n1),sum(n20,n10))
| ~ spl2_7
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12050,f192]) ).
fof(f12050,plain,
( sum(sum(n8,succ(n0)),sum(n20,n10)) != sum(n18,sum(n20,succ(n0)))
| ~ spl2_7
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12049,f358]) ).
fof(f12049,plain,
( sum(n18,sum(pred(n0),succ(n0))) != sum(sum(n8,succ(n0)),sum(pred(n0),n10))
| ~ spl2_7
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11978,f727]) ).
fof(f12037,plain,
( ~ spl2_1
| ~ spl2_36 ),
inference(avatar_contradiction_clause,[],[f12036]) ).
fof(f12036,plain,
( $false
| ~ spl2_1
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f12035]) ).
fof(f12035,plain,
( n3 != n3
| ~ spl2_1
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12034,f546]) ).
fof(f12034,plain,
( n3 != sum(n12,n12)
| ~ spl2_1
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12033,f634]) ).
fof(f634,plain,
n3 = sum(n18,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f12033,plain,
( sum(n12,n12) != sum(n18,n6)
| ~ spl2_1
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12032,f533]) ).
fof(f12032,plain,
( sum(n12,n12) != sum(n18,sum(n2,n4))
| ~ spl2_1
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12031,f378]) ).
fof(f378,plain,
n12 = sum(n8,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f12031,plain,
( sum(n18,sum(n2,n4)) != sum(sum(n8,n4),n12)
| ~ spl2_1
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12030,f639]) ).
fof(f12030,plain,
( sum(n18,sum(n2,n4)) != sum(sum(n8,n4),sum(n2,n10))
| ~ spl2_1
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12029,f174]) ).
fof(f12029,plain,
( sum(n18,sum(pred(n3),n4)) != sum(sum(n8,n4),sum(pred(n3),n10))
| ~ spl2_1
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12028,f447]) ).
fof(f12028,plain,
( sum(sum(n8,succ(n3)),sum(pred(n3),n10)) != sum(n18,sum(pred(n3),succ(n3)))
| ~ spl2_1
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11978,f703]) ).
fof(f12004,plain,
( ~ spl2_5
| ~ spl2_36 ),
inference(avatar_contradiction_clause,[],[f12003]) ).
fof(f12003,plain,
( $false
| ~ spl2_5
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f12002]) ).
fof(f12002,plain,
( n11 != n11
| ~ spl2_5
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12001,f193]) ).
fof(f12001,plain,
( n11 != sum(n16,n16)
| ~ spl2_5
| ~ spl2_36 ),
inference(forward_demodulation,[],[f12000,f303]) ).
fof(f303,plain,
n11 = sum(n18,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f12000,plain,
( sum(n16,n16) != sum(n18,n14)
| ~ spl2_5
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11999,f496]) ).
fof(f11999,plain,
( sum(n16,n16) != sum(n18,sum(n6,n8))
| ~ spl2_5
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11998,f177]) ).
fof(f11998,plain,
( sum(n18,sum(n6,n8)) != sum(sum(n8,n8),n16)
| ~ spl2_5
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11997,f302]) ).
fof(f11997,plain,
( sum(sum(n8,succ(n7)),n16) != sum(n18,sum(n6,succ(n7)))
| ~ spl2_5
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11996,f263]) ).
fof(f263,plain,
n16 = sum(n6,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f11996,plain,
( sum(n18,sum(n6,succ(n7))) != sum(sum(n8,succ(n7)),sum(n6,n10))
| ~ spl2_5
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11995,f519]) ).
fof(f11995,plain,
( sum(n18,sum(pred(n7),succ(n7))) != sum(sum(n8,succ(n7)),sum(pred(n7),n10))
| ~ spl2_5
| ~ spl2_36 ),
inference(backward_demodulation,[],[f11978,f719]) ).
fof(f11945,plain,
( ~ spl2_4
| ~ spl2_36 ),
inference(avatar_contradiction_clause,[],[f11944]) ).
fof(f11944,plain,
( $false
| ~ spl2_4
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f11943]) ).
fof(f11943,plain,
( n0 != n0
| ~ spl2_4
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11942,f296]) ).
fof(f11942,plain,
( n0 != sum(n0,n0)
| ~ spl2_4
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11941,f143]) ).
fof(f143,plain,
n0 = sum(n18,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f11941,plain,
( sum(n0,n0) != sum(n18,n3)
| ~ spl2_4
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11940,f587]) ).
fof(f587,plain,
n0 = sum(n8,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f11940,plain,
( sum(n18,n3) != sum(sum(n8,n13),n0)
| ~ spl2_4
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11939,f32]) ).
fof(f32,plain,
n0 = sum(n11,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f11939,plain,
( sum(n18,n3) != sum(sum(n8,n13),sum(n11,n10))
| ~ spl2_4
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11938,f391]) ).
fof(f11938,plain,
( sum(sum(n8,n13),sum(n11,n10)) != sum(sum(n8,n10),n3)
| ~ spl2_4
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11937,f333]) ).
fof(f11937,plain,
( sum(sum(pred(n9),n13),sum(n11,n10)) != sum(sum(pred(n9),n10),n3)
| ~ spl2_4
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11936,f699]) ).
fof(f11936,plain,
( sum(sum(pred(n9),succ(n9)),n3) != sum(sum(pred(n9),n13),sum(n11,succ(n9)))
| ~ spl2_4
| ~ spl2_36 ),
inference(backward_demodulation,[],[f11929,f844]) ).
fof(f11929,plain,
( sum(sum(pred(sK0),n13),sum(n11,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n3)
| ~ spl2_4 ),
inference(forward_demodulation,[],[f11928,f125]) ).
fof(f11928,plain,
( sum(sum(pred(sK0),n13),sum(n11,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n11,n13))
| ~ spl2_4 ),
inference(forward_demodulation,[],[f11927,f278]) ).
fof(f11927,plain,
( sum(sum(pred(sK0),succ(n12)),sum(n11,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n11,succ(n12)))
| ~ spl2_4 ),
inference(forward_demodulation,[],[f11926,f347]) ).
fof(f11926,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n12),succ(n12))) != sum(sum(pred(sK0),succ(n12)),sum(pred(n12),succ(sK0)))
| ~ spl2_4 ),
inference(backward_demodulation,[],[f346,f715]) ).
fof(f11916,plain,
( ~ spl2_12
| ~ spl2_40 ),
inference(avatar_contradiction_clause,[],[f11915]) ).
fof(f11915,plain,
( $false
| ~ spl2_12
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f11914]) ).
fof(f11914,plain,
( n11 != n11
| ~ spl2_12
| ~ spl2_40 ),
inference(forward_demodulation,[],[f11913,f383]) ).
fof(f383,plain,
n11 = sum(n15,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f11913,plain,
( n11 != sum(n15,n17)
| ~ spl2_12
| ~ spl2_40 ),
inference(forward_demodulation,[],[f11912,f193]) ).
fof(f11912,plain,
( sum(n15,n17) != sum(n16,n16)
| ~ spl2_12
| ~ spl2_40 ),
inference(forward_demodulation,[],[f11911,f613]) ).
fof(f613,plain,
n16 = sum(n17,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f11911,plain,
( sum(n15,n17) != sum(sum(n17,n20),n16)
| ~ spl2_12
| ~ spl2_40 ),
inference(forward_demodulation,[],[f11910,f402]) ).
fof(f11910,plain,
( sum(sum(n17,n20),n16) != sum(sum(n17,n19),n17)
| ~ spl2_12
| ~ spl2_40 ),
inference(forward_demodulation,[],[f11909,f651]) ).
fof(f11909,plain,
( sum(sum(pred(n18),n20),n16) != sum(sum(pred(n18),n19),n17)
| ~ spl2_12
| ~ spl2_40 ),
inference(forward_demodulation,[],[f11908,f450]) ).
fof(f450,plain,
n16 = sum(n18,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f11908,plain,
( sum(sum(pred(n18),n19),n17) != sum(sum(pred(n18),n20),sum(n18,n19))
| ~ spl2_12
| ~ spl2_40 ),
inference(forward_demodulation,[],[f11907,f40]) ).
fof(f11907,plain,
( sum(sum(pred(n18),succ(n18)),n17) != sum(sum(pred(n18),n20),sum(n18,succ(n18)))
| ~ spl2_12
| ~ spl2_40 ),
inference(backward_demodulation,[],[f11648,f860]) ).
fof(f11648,plain,
( sum(sum(pred(sK0),n20),sum(n18,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n17)
| ~ spl2_12 ),
inference(forward_demodulation,[],[f11647,f153]) ).
fof(f153,plain,
n17 = sum(n18,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f11647,plain,
( sum(sum(pred(sK0),n20),sum(n18,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n18,n20))
| ~ spl2_12 ),
inference(forward_demodulation,[],[f11646,f350]) ).
fof(f350,plain,
n18 = pred(n19),
inference(cnf_transformation,[],[f3]) ).
fof(f11646,plain,
( sum(sum(pred(sK0),n20),sum(pred(n19),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n19),n20))
| ~ spl2_12 ),
inference(forward_demodulation,[],[f11633,f508]) ).
fof(f508,plain,
succ(n19) = n20,
inference(cnf_transformation,[],[f3]) ).
fof(f11633,plain,
( sum(sum(pred(sK0),succ(n19)),sum(pred(n19),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n19),succ(n19)))
| ~ spl2_12 ),
inference(backward_demodulation,[],[f346,f747]) ).
fof(f747,plain,
( n19 = sK1
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f745,plain,
( spl2_12
<=> n19 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).
fof(f11884,plain,
( ~ spl2_12
| ~ spl2_30 ),
inference(avatar_contradiction_clause,[],[f11883]) ).
fof(f11883,plain,
( $false
| ~ spl2_12
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f11882]) ).
fof(f11882,plain,
( n10 != n10
| ~ spl2_12
| ~ spl2_30 ),
inference(forward_demodulation,[],[f11881,f230]) ).
fof(f11881,plain,
( n10 != sum(n5,n5)
| ~ spl2_12
| ~ spl2_30 ),
inference(forward_demodulation,[],[f11880,f170]) ).
fof(f170,plain,
n10 = sum(n14,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f11880,plain,
( sum(n5,n5) != sum(n14,n17)
| ~ spl2_12
| ~ spl2_30 ),
inference(forward_demodulation,[],[f11879,f111]) ).
fof(f111,plain,
n5 = sum(n6,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f11879,plain,
( sum(n14,n17) != sum(sum(n6,n20),n5)
| ~ spl2_12
| ~ spl2_30 ),
inference(forward_demodulation,[],[f11878,f496]) ).
fof(f11878,plain,
( sum(sum(n6,n20),n5) != sum(sum(n6,n8),n17)
| ~ spl2_12
| ~ spl2_30 ),
inference(forward_demodulation,[],[f11877,f519]) ).
fof(f11877,plain,
( sum(sum(pred(n7),n20),n5) != sum(sum(pred(n7),n8),n17)
| ~ spl2_12
| ~ spl2_30 ),
inference(forward_demodulation,[],[f11876,f642]) ).
fof(f642,plain,
n5 = sum(n18,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f11876,plain,
( sum(sum(pred(n7),n8),n17) != sum(sum(pred(n7),n20),sum(n18,n8))
| ~ spl2_12
| ~ spl2_30 ),
inference(forward_demodulation,[],[f11875,f302]) ).
fof(f11875,plain,
( sum(sum(pred(n7),n20),sum(n18,succ(n7))) != sum(sum(pred(n7),succ(n7)),n17)
| ~ spl2_12
| ~ spl2_30 ),
inference(backward_demodulation,[],[f11648,f820]) ).
fof(f11859,plain,
( ~ spl2_12
| ~ spl2_38 ),
inference(avatar_contradiction_clause,[],[f11858]) ).
fof(f11858,plain,
( $false
| ~ spl2_12
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f11857]) ).
fof(f11857,plain,
( n19 != n19
| ~ spl2_12
| ~ spl2_38 ),
inference(forward_demodulation,[],[f11856,f484]) ).
fof(f484,plain,
n19 = sum(n2,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f11856,plain,
( n19 != sum(n2,n17)
| ~ spl2_12
| ~ spl2_38 ),
inference(forward_demodulation,[],[f11855,f119]) ).
fof(f11855,plain,
( sum(n2,n17) != sum(n20,n20)
| ~ spl2_12
| ~ spl2_38 ),
inference(forward_demodulation,[],[f11854,f60]) ).
fof(f60,plain,
n20 = sum(n0,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f11854,plain,
( sum(n2,n17) != sum(sum(n0,n20),n20)
| ~ spl2_12
| ~ spl2_38 ),
inference(forward_demodulation,[],[f11853,f213]) ).
fof(f213,plain,
n20 = sum(n18,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f11853,plain,
( sum(n2,n17) != sum(sum(n0,n20),sum(n18,n2))
| ~ spl2_12
| ~ spl2_38 ),
inference(forward_demodulation,[],[f11852,f190]) ).
fof(f11852,plain,
( sum(sum(n0,n20),sum(n18,n2)) != sum(sum(n0,n2),n17)
| ~ spl2_12
| ~ spl2_38 ),
inference(forward_demodulation,[],[f11851,f598]) ).
fof(f11851,plain,
( sum(sum(pred(n1),n20),sum(n18,n2)) != sum(sum(pred(n1),n2),n17)
| ~ spl2_12
| ~ spl2_38 ),
inference(forward_demodulation,[],[f11850,f677]) ).
fof(f11850,plain,
( sum(sum(pred(n1),succ(n1)),n17) != sum(sum(pred(n1),n20),sum(n18,succ(n1)))
| ~ spl2_12
| ~ spl2_38 ),
inference(forward_demodulation,[],[f11648,f852]) ).
fof(f11823,plain,
( ~ spl2_12
| ~ spl2_25 ),
inference(avatar_contradiction_clause,[],[f11822]) ).
fof(f11822,plain,
( $false
| ~ spl2_12
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f11821]) ).
fof(f11821,plain,
( n5 != n5
| ~ spl2_12
| ~ spl2_25 ),
inference(forward_demodulation,[],[f11820,f369]) ).
fof(f369,plain,
n5 = sum(n9,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f11820,plain,
( n5 != sum(n9,n17)
| ~ spl2_12
| ~ spl2_25 ),
inference(forward_demodulation,[],[f11819,f66]) ).
fof(f11819,plain,
( sum(n9,n17) != sum(n13,n13)
| ~ spl2_12
| ~ spl2_25 ),
inference(forward_demodulation,[],[f11818,f486]) ).
fof(f11818,plain,
( sum(n13,n13) != sum(sum(n14,n16),n17)
| ~ spl2_12
| ~ spl2_25 ),
inference(forward_demodulation,[],[f11817,f48]) ).
fof(f48,plain,
n13 = sum(n14,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f11817,plain,
( sum(sum(n14,n16),n17) != sum(sum(n14,n20),n13)
| ~ spl2_12
| ~ spl2_25 ),
inference(forward_demodulation,[],[f11816,f562]) ).
fof(f11816,plain,
( sum(sum(pred(n15),n16),n17) != sum(sum(pred(n15),n20),n13)
| ~ spl2_12
| ~ spl2_25 ),
inference(forward_demodulation,[],[f11815,f385]) ).
fof(f385,plain,
n13 = sum(n18,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f11815,plain,
( sum(sum(pred(n15),n16),n17) != sum(sum(pred(n15),n20),sum(n18,n16))
| ~ spl2_12
| ~ spl2_25 ),
inference(forward_demodulation,[],[f11814,f37]) ).
fof(f11814,plain,
( sum(sum(pred(n15),n20),sum(n18,succ(n15))) != sum(sum(pred(n15),succ(n15)),n17)
| ~ spl2_12
| ~ spl2_25 ),
inference(backward_demodulation,[],[f11648,f800]) ).
fof(f11798,plain,
( ~ spl2_12
| ~ spl2_23 ),
inference(avatar_contradiction_clause,[],[f11797]) ).
fof(f11797,plain,
( $false
| ~ spl2_12
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f11796]) ).
fof(f11796,plain,
( n0 != n0
| ~ spl2_12
| ~ spl2_23 ),
inference(forward_demodulation,[],[f11795,f296]) ).
fof(f11795,plain,
( n0 != sum(n0,n0)
| ~ spl2_12
| ~ spl2_23 ),
inference(forward_demodulation,[],[f11794,f235]) ).
fof(f235,plain,
n0 = sum(n4,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f11794,plain,
( sum(n0,n0) != sum(n4,n17)
| ~ spl2_12
| ~ spl2_23 ),
inference(forward_demodulation,[],[f11793,f141]) ).
fof(f11793,plain,
( sum(n0,n0) != sum(sum(n1,n3),n17)
| ~ spl2_12
| ~ spl2_23 ),
inference(forward_demodulation,[],[f11792,f207]) ).
fof(f207,plain,
n0 = sum(n1,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f11792,plain,
( sum(sum(n1,n3),n17) != sum(sum(n1,n20),n0)
| ~ spl2_12
| ~ spl2_23 ),
inference(forward_demodulation,[],[f11791,f143]) ).
fof(f11791,plain,
( sum(sum(n1,n3),n17) != sum(sum(n1,n20),sum(n18,n3))
| ~ spl2_12
| ~ spl2_23 ),
inference(forward_demodulation,[],[f11790,f231]) ).
fof(f11790,plain,
( sum(sum(pred(n2),n20),sum(n18,n3)) != sum(sum(pred(n2),n3),n17)
| ~ spl2_12
| ~ spl2_23 ),
inference(forward_demodulation,[],[f11789,f184]) ).
fof(f11789,plain,
( sum(sum(pred(n2),succ(n2)),n17) != sum(sum(pred(n2),n20),sum(n18,succ(n2)))
| ~ spl2_12
| ~ spl2_23 ),
inference(forward_demodulation,[],[f11648,f792]) ).
fof(f11753,plain,
( ~ spl2_12
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f11752]) ).
fof(f11752,plain,
( $false
| ~ spl2_12
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f11751]) ).
fof(f11751,plain,
( n8 != n8
| ~ spl2_12
| ~ spl2_28 ),
inference(forward_demodulation,[],[f11750,f157]) ).
fof(f11750,plain,
( n8 != sum(n4,n4)
| ~ spl2_12
| ~ spl2_28 ),
inference(forward_demodulation,[],[f11749,f260]) ).
fof(f260,plain,
n8 = sum(n12,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f11749,plain,
( sum(n4,n4) != sum(n12,n17)
| ~ spl2_12
| ~ spl2_28 ),
inference(forward_demodulation,[],[f11748,f511]) ).
fof(f11748,plain,
( sum(n4,n4) != sum(sum(n5,n7),n17)
| ~ spl2_12
| ~ spl2_28 ),
inference(forward_demodulation,[],[f11747,f258]) ).
fof(f258,plain,
n4 = sum(n5,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f11747,plain,
( sum(sum(n5,n7),n17) != sum(sum(n5,n20),n4)
| ~ spl2_12
| ~ spl2_28 ),
inference(forward_demodulation,[],[f11746,f530]) ).
fof(f11746,plain,
( sum(sum(pred(n6),n7),n17) != sum(sum(pred(n6),n20),n4)
| ~ spl2_12
| ~ spl2_28 ),
inference(forward_demodulation,[],[f11745,f429]) ).
fof(f429,plain,
n4 = sum(n18,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f11745,plain,
( sum(sum(pred(n6),n7),n17) != sum(sum(pred(n6),n20),sum(n18,n7))
| ~ spl2_12
| ~ spl2_28 ),
inference(forward_demodulation,[],[f11744,f457]) ).
fof(f11744,plain,
( sum(sum(pred(n6),succ(n6)),n17) != sum(sum(pred(n6),n20),sum(n18,succ(n6)))
| ~ spl2_12
| ~ spl2_28 ),
inference(forward_demodulation,[],[f11648,f812]) ).
fof(f11741,plain,
( ~ spl2_12
| ~ spl2_36 ),
inference(avatar_contradiction_clause,[],[f11740]) ).
fof(f11740,plain,
( $false
| ~ spl2_12
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f11739]) ).
fof(f11739,plain,
( n14 != n14
| ~ spl2_12
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11738,f395]) ).
fof(f11738,plain,
( n14 != sum(n7,n7)
| ~ spl2_12
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11737,f604]) ).
fof(f604,plain,
n14 = sum(n18,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f11737,plain,
( sum(n7,n7) != sum(n18,n17)
| ~ spl2_12
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11736,f391]) ).
fof(f11736,plain,
( sum(n7,n7) != sum(sum(n8,n10),n17)
| ~ spl2_12
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11735,f218]) ).
fof(f218,plain,
n7 = sum(n8,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f11735,plain,
( sum(sum(n8,n10),n17) != sum(sum(n8,n20),n7)
| ~ spl2_12
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11734,f333]) ).
fof(f11734,plain,
( sum(sum(pred(n9),n10),n17) != sum(sum(pred(n9),n20),n7)
| ~ spl2_12
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11733,f520]) ).
fof(f11733,plain,
( sum(sum(pred(n9),n10),n17) != sum(sum(pred(n9),n20),sum(n18,n10))
| ~ spl2_12
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11732,f699]) ).
fof(f11732,plain,
( sum(sum(pred(n9),succ(n9)),n17) != sum(sum(pred(n9),n20),sum(n18,succ(n9)))
| ~ spl2_12
| ~ spl2_36 ),
inference(backward_demodulation,[],[f11648,f844]) ).
fof(f11711,plain,
( ~ spl2_12
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f11710]) ).
fof(f11710,plain,
( $false
| ~ spl2_12
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f11709]) ).
fof(f11709,plain,
( n16 != n16
| ~ spl2_12
| ~ spl2_42 ),
inference(forward_demodulation,[],[f11708,f177]) ).
fof(f11708,plain,
( n16 != sum(n8,n8)
| ~ spl2_12
| ~ spl2_42 ),
inference(forward_demodulation,[],[f11707,f151]) ).
fof(f151,plain,
n16 = sum(n20,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f11707,plain,
( sum(n8,n8) != sum(n20,n17)
| ~ spl2_12
| ~ spl2_42 ),
inference(forward_demodulation,[],[f11706,f16]) ).
fof(f11706,plain,
( sum(n8,n8) != sum(sum(n9,n11),n17)
| ~ spl2_12
| ~ spl2_42 ),
inference(forward_demodulation,[],[f11705,f199]) ).
fof(f199,plain,
n8 = sum(n9,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f11705,plain,
( sum(sum(n9,n11),n17) != sum(sum(n9,n20),n8)
| ~ spl2_12
| ~ spl2_42 ),
inference(forward_demodulation,[],[f11704,f620]) ).
fof(f620,plain,
n8 = sum(n18,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f11704,plain,
( sum(sum(n9,n11),n17) != sum(sum(n9,n20),sum(n18,n11))
| ~ spl2_12
| ~ spl2_42 ),
inference(forward_demodulation,[],[f11703,f693]) ).
fof(f11703,plain,
( sum(sum(pred(n10),n20),sum(n18,n11)) != sum(sum(pred(n10),n11),n17)
| ~ spl2_12
| ~ spl2_42 ),
inference(forward_demodulation,[],[f11702,f114]) ).
fof(f11702,plain,
( sum(sum(pred(n10),succ(n10)),n17) != sum(sum(pred(n10),n20),sum(n18,succ(n10)))
| ~ spl2_12
| ~ spl2_42 ),
inference(forward_demodulation,[],[f11648,f868]) ).
fof(f11684,plain,
( ~ spl2_12
| ~ spl2_34 ),
inference(avatar_contradiction_clause,[],[f11683]) ).
fof(f11683,plain,
( $false
| ~ spl2_12
| ~ spl2_34 ),
inference(trivial_inequality_removal,[],[f11682]) ).
fof(f11682,plain,
( n17 != n17
| ~ spl2_12
| ~ spl2_34 ),
inference(forward_demodulation,[],[f11681,f356]) ).
fof(f356,plain,
n17 = sum(n0,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f11681,plain,
( n17 != sum(n0,n17)
| ~ spl2_12
| ~ spl2_34 ),
inference(forward_demodulation,[],[f11680,f210]) ).
fof(f11680,plain,
( sum(n0,n17) != sum(n19,n19)
| ~ spl2_12
| ~ spl2_34 ),
inference(forward_demodulation,[],[f11679,f119]) ).
fof(f11679,plain,
( sum(n0,n17) != sum(sum(n20,n20),n19)
| ~ spl2_12
| ~ spl2_34 ),
inference(forward_demodulation,[],[f11678,f500]) ).
fof(f11678,plain,
( sum(n0,n17) != sum(sum(n20,n20),sum(n18,n1))
| ~ spl2_12
| ~ spl2_34 ),
inference(forward_demodulation,[],[f11677,f510]) ).
fof(f11677,plain,
( sum(sum(n20,n20),sum(n18,n1)) != sum(sum(n20,n1),n17)
| ~ spl2_12
| ~ spl2_34 ),
inference(forward_demodulation,[],[f11676,f358]) ).
fof(f11676,plain,
( sum(sum(pred(n0),n20),sum(n18,n1)) != sum(sum(pred(n0),n1),n17)
| ~ spl2_12
| ~ spl2_34 ),
inference(forward_demodulation,[],[f11675,f192]) ).
fof(f11675,plain,
( sum(sum(pred(n0),n20),sum(n18,succ(n0))) != sum(sum(pred(n0),succ(n0)),n17)
| ~ spl2_12
| ~ spl2_34 ),
inference(backward_demodulation,[],[f11648,f836]) ).
fof(f11625,plain,
( ~ spl2_5
| ~ spl2_32 ),
inference(avatar_contradiction_clause,[],[f11624]) ).
fof(f11624,plain,
( $false
| ~ spl2_5
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f11623]) ).
fof(f11623,plain,
( n3 != n3
| ~ spl2_5
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11622,f342]) ).
fof(f342,plain,
n3 = sum(n10,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f11622,plain,
( n3 != sum(n10,n14)
| ~ spl2_5
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11621,f546]) ).
fof(f11621,plain,
( sum(n10,n14) != sum(n12,n12)
| ~ spl2_5
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11620,f496]) ).
fof(f11620,plain,
( sum(n12,n12) != sum(n10,sum(n6,n8))
| ~ spl2_5
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11619,f118]) ).
fof(f11619,plain,
( sum(n10,sum(n6,n8)) != sum(sum(n4,n8),n12)
| ~ spl2_5
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11618,f302]) ).
fof(f11618,plain,
( sum(n10,sum(n6,succ(n7))) != sum(sum(n4,succ(n7)),n12)
| ~ spl2_5
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11617,f316]) ).
fof(f11617,plain,
( sum(n10,sum(n6,succ(n7))) != sum(sum(n4,succ(n7)),sum(n6,n6))
| ~ spl2_5
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11616,f519]) ).
fof(f11616,plain,
( sum(n10,sum(pred(n7),succ(n7))) != sum(sum(n4,succ(n7)),sum(pred(n7),n6))
| ~ spl2_5
| ~ spl2_32 ),
inference(backward_demodulation,[],[f11456,f719]) ).
fof(f11456,plain,
( sum(n10,sum(pred(sK1),succ(sK1))) != sum(sum(n4,succ(sK1)),sum(pred(sK1),n6))
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11455,f464]) ).
fof(f11455,plain,
( sum(sum(n4,n6),sum(pred(sK1),succ(sK1))) != sum(sum(n4,succ(sK1)),sum(pred(sK1),n6))
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11454,f126]) ).
fof(f11454,plain,
( sum(sum(pred(n5),succ(sK1)),sum(pred(sK1),n6)) != sum(sum(pred(n5),n6),sum(pred(sK1),succ(sK1)))
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11453,f692]) ).
fof(f11453,plain,
( sum(sum(pred(n5),succ(n5)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n5),succ(sK1)),sum(pred(sK1),succ(n5)))
| ~ spl2_32 ),
inference(forward_demodulation,[],[f346,f828]) ).
fof(f828,plain,
( n5 = sK0
| ~ spl2_32 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f826,plain,
( spl2_32
<=> n5 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_32])]) ).
fof(f11592,plain,
( ~ spl2_14
| ~ spl2_32 ),
inference(avatar_contradiction_clause,[],[f11591]) ).
fof(f11591,plain,
( $false
| ~ spl2_14
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f11590]) ).
fof(f11590,plain,
( n1 != n1
| ~ spl2_14
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11589,f21]) ).
fof(f11589,plain,
( n1 != sum(n10,n12)
| ~ spl2_14
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11588,f470]) ).
fof(f11588,plain,
( sum(n10,n12) != sum(n11,n11)
| ~ spl2_14
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11587,f148]) ).
fof(f11587,plain,
( sum(n10,n12) != sum(sum(n4,n7),n11)
| ~ spl2_14
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11586,f511]) ).
fof(f11586,plain,
( sum(sum(n4,n7),n11) != sum(n10,sum(n5,n7))
| ~ spl2_14
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11585,f172]) ).
fof(f11585,plain,
( sum(n10,sum(n5,n7)) != sum(sum(n4,n7),sum(n5,n6))
| ~ spl2_14
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11584,f457]) ).
fof(f11584,plain,
( sum(sum(n4,succ(n6)),sum(n5,n6)) != sum(n10,sum(n5,succ(n6)))
| ~ spl2_14
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11583,f530]) ).
fof(f11583,plain,
( sum(n10,sum(pred(n6),succ(n6))) != sum(sum(n4,succ(n6)),sum(pred(n6),n6))
| ~ spl2_14
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11456,f755]) ).
fof(f11566,plain,
( ~ spl2_4
| ~ spl2_32 ),
inference(avatar_contradiction_clause,[],[f11565]) ).
fof(f11565,plain,
( $false
| ~ spl2_4
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f11564]) ).
fof(f11564,plain,
( n13 != n13
| ~ spl2_4
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11563,f160]) ).
fof(f11563,plain,
( n13 != sum(n10,n3)
| ~ spl2_4
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11562,f106]) ).
fof(f11562,plain,
( sum(n10,n3) != sum(n17,n17)
| ~ spl2_4
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11561,f576]) ).
fof(f576,plain,
n17 = sum(n4,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f11561,plain,
( sum(n10,n3) != sum(sum(n4,n13),n17)
| ~ spl2_4
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11560,f672]) ).
fof(f672,plain,
n17 = sum(n11,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f11560,plain,
( sum(n10,n3) != sum(sum(n4,n13),sum(n11,n6))
| ~ spl2_4
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11559,f125]) ).
fof(f11559,plain,
( sum(sum(n4,n13),sum(n11,n6)) != sum(n10,sum(n11,n13))
| ~ spl2_4
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11558,f278]) ).
fof(f11558,plain,
( sum(sum(n4,succ(n12)),sum(n11,n6)) != sum(n10,sum(n11,succ(n12)))
| ~ spl2_4
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11557,f347]) ).
fof(f11557,plain,
( sum(n10,sum(pred(n12),succ(n12))) != sum(sum(n4,succ(n12)),sum(pred(n12),n6))
| ~ spl2_4
| ~ spl2_32 ),
inference(backward_demodulation,[],[f11456,f715]) ).
fof(f11537,plain,
( ~ spl2_6
| ~ spl2_32 ),
inference(avatar_contradiction_clause,[],[f11536]) ).
fof(f11536,plain,
( $false
| ~ spl2_6
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f11535]) ).
fof(f11535,plain,
( n11 != n11
| ~ spl2_6
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11534,f134]) ).
fof(f11534,plain,
( n11 != sum(n10,n1)
| ~ spl2_6
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11533,f193]) ).
fof(f11533,plain,
( sum(n10,n1) != sum(n16,n16)
| ~ spl2_6
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11532,f300]) ).
fof(f11532,plain,
( sum(n10,n1) != sum(sum(n4,n12),n16)
| ~ spl2_6
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11531,f105]) ).
fof(f105,plain,
n16 = sum(n10,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f11531,plain,
( sum(n10,n1) != sum(sum(n4,n12),sum(n10,n6))
| ~ spl2_6
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11530,f21]) ).
fof(f11530,plain,
( sum(sum(n4,n12),sum(n10,n6)) != sum(n10,sum(n10,n12))
| ~ spl2_6
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11529,f641]) ).
fof(f11529,plain,
( sum(sum(n4,succ(n11)),sum(n10,n6)) != sum(n10,sum(n10,succ(n11)))
| ~ spl2_6
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11528,f266]) ).
fof(f11528,plain,
( sum(n10,sum(pred(n11),succ(n11))) != sum(sum(n4,succ(n11)),sum(pred(n11),n6))
| ~ spl2_6
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11456,f723]) ).
fof(f11499,plain,
( ~ spl2_1
| ~ spl2_32 ),
inference(avatar_contradiction_clause,[],[f11498]) ).
fof(f11498,plain,
( $false
| ~ spl2_1
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f11497]) ).
fof(f11497,plain,
( n16 != n16
| ~ spl2_1
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11496,f177]) ).
fof(f11496,plain,
( n16 != sum(n8,n8)
| ~ spl2_1
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11495,f105]) ).
fof(f11495,plain,
( sum(n8,n8) != sum(n10,n6)
| ~ spl2_1
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11494,f533]) ).
fof(f11494,plain,
( sum(n8,n8) != sum(n10,sum(n2,n4))
| ~ spl2_1
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11493,f157]) ).
fof(f11493,plain,
( sum(n10,sum(n2,n4)) != sum(sum(n4,n4),n8)
| ~ spl2_1
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11492,f447]) ).
fof(f11492,plain,
( sum(n10,sum(n2,succ(n3))) != sum(sum(n4,succ(n3)),n8)
| ~ spl2_1
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11491,f22]) ).
fof(f11491,plain,
( sum(n10,sum(n2,succ(n3))) != sum(sum(n4,succ(n3)),sum(n2,n6))
| ~ spl2_1
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11488,f174]) ).
fof(f11488,plain,
( sum(n10,sum(pred(n3),succ(n3))) != sum(sum(n4,succ(n3)),sum(pred(n3),n6))
| ~ spl2_1
| ~ spl2_32 ),
inference(backward_demodulation,[],[f11456,f703]) ).
fof(f11480,plain,
( ~ spl2_7
| ~ spl2_32 ),
inference(avatar_contradiction_clause,[],[f11479]) ).
fof(f11479,plain,
( $false
| ~ spl2_7
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f11478]) ).
fof(f11478,plain,
( n10 != n10
| ~ spl2_7
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11477,f230]) ).
fof(f11477,plain,
( n10 != sum(n5,n5)
| ~ spl2_7
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11476,f50]) ).
fof(f50,plain,
n10 = sum(n10,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f11476,plain,
( sum(n5,n5) != sum(n10,n0)
| ~ spl2_7
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11475,f299]) ).
fof(f11475,plain,
( sum(n10,n0) != sum(sum(n4,n1),n5)
| ~ spl2_7
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11474,f510]) ).
fof(f11474,plain,
( sum(sum(n4,n1),n5) != sum(n10,sum(n20,n1))
| ~ spl2_7
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11473,f219]) ).
fof(f11473,plain,
( sum(n10,sum(n20,n1)) != sum(sum(n4,n1),sum(n20,n6))
| ~ spl2_7
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11472,f192]) ).
fof(f11472,plain,
( sum(sum(n4,succ(n0)),sum(n20,n6)) != sum(n10,sum(n20,succ(n0)))
| ~ spl2_7
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11471,f358]) ).
fof(f11471,plain,
( sum(n10,sum(pred(n0),succ(n0))) != sum(sum(n4,succ(n0)),sum(pred(n0),n6))
| ~ spl2_7
| ~ spl2_32 ),
inference(backward_demodulation,[],[f11456,f727]) ).
fof(f11444,plain,
( ~ spl2_13
| ~ spl2_32 ),
inference(avatar_contradiction_clause,[],[f11443]) ).
fof(f11443,plain,
( $false
| ~ spl2_13
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f11442]) ).
fof(f11442,plain,
( sum(sum(pred(n5),n6),n10) != sum(sum(pred(n5),n6),n10)
| ~ spl2_13
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11441,f464]) ).
fof(f11441,plain,
( sum(sum(pred(n5),n6),n10) != sum(sum(pred(n5),n6),sum(n4,n6))
| ~ spl2_13
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11440,f692]) ).
fof(f11440,plain,
( sum(sum(pred(n5),n6),sum(n4,succ(n5))) != sum(sum(pred(n5),succ(n5)),n10)
| ~ spl2_13
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11439,f828]) ).
fof(f11439,plain,
( sum(sum(pred(sK0),succ(sK0)),n10) != sum(sum(pred(sK0),n6),sum(n4,succ(sK0)))
| ~ spl2_13 ),
inference(forward_demodulation,[],[f11438,f464]) ).
fof(f11438,plain,
( sum(sum(pred(sK0),n6),sum(n4,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n4,n6))
| ~ spl2_13 ),
inference(forward_demodulation,[],[f11437,f126]) ).
fof(f11437,plain,
( sum(sum(pred(sK0),n6),sum(pred(n5),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n5),n6))
| ~ spl2_13 ),
inference(forward_demodulation,[],[f11436,f692]) ).
fof(f11436,plain,
( sum(sum(pred(sK0),succ(n5)),sum(pred(n5),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n5),succ(n5)))
| ~ spl2_13 ),
inference(forward_demodulation,[],[f346,f751]) ).
fof(f11406,plain,
( ~ spl2_3
| ~ spl2_32 ),
inference(avatar_contradiction_clause,[],[f11405]) ).
fof(f11405,plain,
( $false
| ~ spl2_3
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f11404]) ).
fof(f11404,plain,
( n15 != n15
| ~ spl2_3
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11403,f614]) ).
fof(f614,plain,
n15 = sum(n10,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f11403,plain,
( n15 != sum(n10,n5)
| ~ spl2_3
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11402,f679]) ).
fof(f11402,plain,
( sum(n10,n5) != sum(n18,n18)
| ~ spl2_3
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11401,f464]) ).
fof(f11401,plain,
( sum(n18,n18) != sum(sum(n4,n6),n5)
| ~ spl2_3
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11400,f310]) ).
fof(f11400,plain,
( sum(sum(n4,n6),n5) != sum(sum(n4,n14),n18)
| ~ spl2_3
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11399,f126]) ).
fof(f11399,plain,
( sum(sum(pred(n5),n14),n18) != sum(sum(pred(n5),n6),n5)
| ~ spl2_3
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11398,f610]) ).
fof(f11398,plain,
( sum(sum(pred(n5),n14),n18) != sum(sum(pred(n5),n6),sum(n12,n14))
| ~ spl2_3
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11397,f602]) ).
fof(f11397,plain,
( sum(sum(pred(n5),n6),sum(n12,n14)) != sum(sum(pred(n5),n14),sum(n12,n6))
| ~ spl2_3
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11396,f225]) ).
fof(f11396,plain,
( sum(sum(pred(n5),n6),sum(pred(n13),n14)) != sum(sum(pred(n5),n14),sum(pred(n13),n6))
| ~ spl2_3
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11395,f692]) ).
fof(f11395,plain,
( sum(sum(pred(n5),succ(n5)),sum(pred(n13),n14)) != sum(sum(pred(n5),n14),sum(pred(n13),succ(n5)))
| ~ spl2_3
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11394,f828]) ).
fof(f11394,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n13),n14)) != sum(sum(pred(sK0),n14),sum(pred(n13),succ(sK0)))
| ~ spl2_3 ),
inference(forward_demodulation,[],[f11393,f502]) ).
fof(f11393,plain,
( sum(sum(pred(sK0),succ(n13)),sum(pred(n13),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n13),succ(n13)))
| ~ spl2_3 ),
inference(forward_demodulation,[],[f346,f711]) ).
fof(f11388,plain,
( ~ spl2_12
| ~ spl2_32 ),
inference(avatar_contradiction_clause,[],[f11387]) ).
fof(f11387,plain,
( $false
| ~ spl2_12
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f11386]) ).
fof(f11386,plain,
( n6 != n6
| ~ spl2_12
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11385,f419]) ).
fof(f11385,plain,
( n6 != sum(n3,n3)
| ~ spl2_12
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11384,f459]) ).
fof(f459,plain,
n6 = sum(n10,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f11384,plain,
( sum(n3,n3) != sum(n10,n17)
| ~ spl2_12
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11383,f464]) ).
fof(f11383,plain,
( sum(n3,n3) != sum(sum(n4,n6),n17)
| ~ spl2_12
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11382,f524]) ).
fof(f524,plain,
n3 = sum(n4,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f11382,plain,
( sum(sum(n4,n6),n17) != sum(sum(n4,n20),n3)
| ~ spl2_12
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11381,f634]) ).
fof(f11381,plain,
( sum(sum(n4,n6),n17) != sum(sum(n4,n20),sum(n18,n6))
| ~ spl2_12
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11380,f126]) ).
fof(f11380,plain,
( sum(sum(pred(n5),n20),sum(n18,n6)) != sum(sum(pred(n5),n6),n17)
| ~ spl2_12
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11379,f692]) ).
fof(f11379,plain,
( sum(sum(pred(n5),n20),sum(n18,succ(n5))) != sum(sum(pred(n5),succ(n5)),n17)
| ~ spl2_12
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11378,f828]) ).
fof(f11378,plain,
( sum(sum(pred(sK0),n20),sum(n18,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n17)
| ~ spl2_12 ),
inference(forward_demodulation,[],[f11377,f153]) ).
fof(f11377,plain,
( sum(sum(pred(sK0),n20),sum(n18,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n18,n20))
| ~ spl2_12 ),
inference(forward_demodulation,[],[f11376,f350]) ).
fof(f11376,plain,
( sum(sum(pred(sK0),n20),sum(pred(n19),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n19),n20))
| ~ spl2_12 ),
inference(forward_demodulation,[],[f11375,f508]) ).
fof(f11375,plain,
( sum(sum(pred(sK0),succ(n19)),sum(pred(n19),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n19),succ(n19)))
| ~ spl2_12 ),
inference(forward_demodulation,[],[f346,f747]) ).
fof(f11328,plain,
( ~ spl2_11
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f11327]) ).
fof(f11327,plain,
( $false
| ~ spl2_11
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f11326]) ).
fof(f11326,plain,
( n2 != n2
| ~ spl2_11
| ~ spl2_28 ),
inference(forward_demodulation,[],[f11325,f433]) ).
fof(f11325,plain,
( n2 != sum(n1,n1)
| ~ spl2_11
| ~ spl2_28 ),
inference(forward_demodulation,[],[f11324,f129]) ).
fof(f11324,plain,
( sum(n1,n1) != sum(n12,n11)
| ~ spl2_11
| ~ spl2_28 ),
inference(forward_demodulation,[],[f11323,f511]) ).
fof(f11323,plain,
( sum(n1,n1) != sum(sum(n5,n7),n11)
| ~ spl2_11
| ~ spl2_28 ),
inference(forward_demodulation,[],[f11322,f544]) ).
fof(f544,plain,
n1 = sum(n5,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f11322,plain,
( sum(sum(n5,n7),n11) != sum(sum(n5,n17),n1)
| ~ spl2_11
| ~ spl2_28 ),
inference(forward_demodulation,[],[f11321,f697]) ).
fof(f697,plain,
n1 = sum(n15,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f11321,plain,
( sum(sum(n5,n7),n11) != sum(sum(n5,n17),sum(n15,n7))
| ~ spl2_11
| ~ spl2_28 ),
inference(forward_demodulation,[],[f11320,f530]) ).
fof(f11320,plain,
( sum(sum(pred(n6),n17),sum(n15,n7)) != sum(sum(pred(n6),n7),n11)
| ~ spl2_11
| ~ spl2_28 ),
inference(forward_demodulation,[],[f11319,f457]) ).
fof(f11319,plain,
( sum(sum(pred(n6),succ(n6)),n11) != sum(sum(pred(n6),n17),sum(n15,succ(n6)))
| ~ spl2_11
| ~ spl2_28 ),
inference(forward_demodulation,[],[f11030,f812]) ).
fof(f11030,plain,
( sum(sum(pred(sK0),succ(sK0)),n11) != sum(sum(pred(sK0),n17),sum(n15,succ(sK0)))
| ~ spl2_11 ),
inference(forward_demodulation,[],[f11029,f383]) ).
fof(f11029,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(n15,n17)) != sum(sum(pred(sK0),n17),sum(n15,succ(sK0)))
| ~ spl2_11 ),
inference(forward_demodulation,[],[f11028,f233]) ).
fof(f233,plain,
succ(n16) = n17,
inference(cnf_transformation,[],[f3]) ).
fof(f11028,plain,
( sum(sum(pred(sK0),succ(n16)),sum(n15,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n15,succ(n16)))
| ~ spl2_11 ),
inference(forward_demodulation,[],[f11027,f418]) ).
fof(f418,plain,
n15 = pred(n16),
inference(cnf_transformation,[],[f3]) ).
fof(f11027,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n16),succ(n16))) != sum(sum(pred(sK0),succ(n16)),sum(pred(n16),succ(sK0)))
| ~ spl2_11 ),
inference(forward_demodulation,[],[f346,f743]) ).
fof(f743,plain,
( n16 = sK1
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f741,plain,
( spl2_11
<=> n16 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
fof(f11300,plain,
( ~ spl2_11
| ~ spl2_38 ),
inference(avatar_contradiction_clause,[],[f11299]) ).
fof(f11299,plain,
( $false
| ~ spl2_11
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f11298]) ).
fof(f11298,plain,
( n13 != n13
| ~ spl2_11
| ~ spl2_38 ),
inference(forward_demodulation,[],[f11297,f326]) ).
fof(f11297,plain,
( n13 != sum(n2,n11)
| ~ spl2_11
| ~ spl2_38 ),
inference(forward_demodulation,[],[f11296,f106]) ).
fof(f11296,plain,
( sum(n2,n11) != sum(n17,n17)
| ~ spl2_11
| ~ spl2_38 ),
inference(forward_demodulation,[],[f11295,f190]) ).
fof(f11295,plain,
( sum(n17,n17) != sum(sum(n0,n2),n11)
| ~ spl2_11
| ~ spl2_38 ),
inference(forward_demodulation,[],[f11294,f356]) ).
fof(f11294,plain,
( sum(sum(n0,n2),n11) != sum(sum(n0,n17),n17)
| ~ spl2_11
| ~ spl2_38 ),
inference(forward_demodulation,[],[f11293,f212]) ).
fof(f212,plain,
n17 = sum(n15,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f11293,plain,
( sum(sum(n0,n2),n11) != sum(sum(n0,n17),sum(n15,n2))
| ~ spl2_11
| ~ spl2_38 ),
inference(forward_demodulation,[],[f11292,f598]) ).
fof(f11292,plain,
( sum(sum(pred(n1),n17),sum(n15,n2)) != sum(sum(pred(n1),n2),n11)
| ~ spl2_11
| ~ spl2_38 ),
inference(forward_demodulation,[],[f11291,f677]) ).
fof(f11291,plain,
( sum(sum(pred(n1),n17),sum(n15,succ(n1))) != sum(sum(pred(n1),succ(n1)),n11)
| ~ spl2_11
| ~ spl2_38 ),
inference(backward_demodulation,[],[f11030,f852]) ).
fof(f11275,plain,
( ~ spl2_11
| ~ spl2_30 ),
inference(avatar_contradiction_clause,[],[f11274]) ).
fof(f11274,plain,
( $false
| ~ spl2_11
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f11273]) ).
fof(f11273,plain,
( n4 != n4
| ~ spl2_11
| ~ spl2_30 ),
inference(forward_demodulation,[],[f11272,f489]) ).
fof(f11272,plain,
( n4 != sum(n2,n2)
| ~ spl2_11
| ~ spl2_30 ),
inference(forward_demodulation,[],[f11271,f624]) ).
fof(f624,plain,
n4 = sum(n14,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f11271,plain,
( sum(n2,n2) != sum(n14,n11)
| ~ spl2_11
| ~ spl2_30 ),
inference(forward_demodulation,[],[f11270,f443]) ).
fof(f443,plain,
n2 = sum(n6,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f11270,plain,
( sum(n14,n11) != sum(sum(n6,n17),n2)
| ~ spl2_11
| ~ spl2_30 ),
inference(forward_demodulation,[],[f11269,f436]) ).
fof(f436,plain,
n2 = sum(n15,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f11269,plain,
( sum(n14,n11) != sum(sum(n6,n17),sum(n15,n8))
| ~ spl2_11
| ~ spl2_30 ),
inference(forward_demodulation,[],[f11268,f496]) ).
fof(f11268,plain,
( sum(sum(n6,n17),sum(n15,n8)) != sum(sum(n6,n8),n11)
| ~ spl2_11
| ~ spl2_30 ),
inference(forward_demodulation,[],[f11267,f519]) ).
fof(f11267,plain,
( sum(sum(pred(n7),n17),sum(n15,n8)) != sum(sum(pred(n7),n8),n11)
| ~ spl2_11
| ~ spl2_30 ),
inference(forward_demodulation,[],[f11266,f302]) ).
fof(f11266,plain,
( sum(sum(pred(n7),n17),sum(n15,succ(n7))) != sum(sum(pred(n7),succ(n7)),n11)
| ~ spl2_11
| ~ spl2_30 ),
inference(forward_demodulation,[],[f11030,f820]) ).
fof(f11235,plain,
( ~ spl2_11
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f11234]) ).
fof(f11234,plain,
( $false
| ~ spl2_11
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f11233]) ).
fof(f11233,plain,
( n10 != n10
| ~ spl2_11
| ~ spl2_42 ),
inference(forward_demodulation,[],[f11232,f230]) ).
fof(f11232,plain,
( n10 != sum(n5,n5)
| ~ spl2_11
| ~ spl2_42 ),
inference(forward_demodulation,[],[f11231,f103]) ).
fof(f11231,plain,
( sum(n5,n5) != sum(n20,n11)
| ~ spl2_11
| ~ spl2_42 ),
inference(forward_demodulation,[],[f11230,f369]) ).
fof(f11230,plain,
( sum(n20,n11) != sum(sum(n9,n17),n5)
| ~ spl2_11
| ~ spl2_42 ),
inference(forward_demodulation,[],[f11229,f171]) ).
fof(f171,plain,
n5 = sum(n15,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f11229,plain,
( sum(n20,n11) != sum(sum(n9,n17),sum(n15,n11))
| ~ spl2_11
| ~ spl2_42 ),
inference(forward_demodulation,[],[f11228,f16]) ).
fof(f11228,plain,
( sum(sum(n9,n17),sum(n15,n11)) != sum(sum(n9,n11),n11)
| ~ spl2_11
| ~ spl2_42 ),
inference(forward_demodulation,[],[f11227,f693]) ).
fof(f11227,plain,
( sum(sum(pred(n10),n17),sum(n15,n11)) != sum(sum(pred(n10),n11),n11)
| ~ spl2_11
| ~ spl2_42 ),
inference(forward_demodulation,[],[f11226,f114]) ).
fof(f11226,plain,
( sum(sum(pred(n10),succ(n10)),n11) != sum(sum(pred(n10),n17),sum(n15,succ(n10)))
| ~ spl2_11
| ~ spl2_42 ),
inference(forward_demodulation,[],[f11030,f868]) ).
fof(f11217,plain,
( ~ spl2_11
| ~ spl2_23 ),
inference(avatar_contradiction_clause,[],[f11216]) ).
fof(f11216,plain,
( $false
| ~ spl2_11
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f11215]) ).
fof(f11215,plain,
( n15 != n15
| ~ spl2_11
| ~ spl2_23 ),
inference(forward_demodulation,[],[f11214,f152]) ).
fof(f11214,plain,
( n15 != sum(n4,n11)
| ~ spl2_11
| ~ spl2_23 ),
inference(forward_demodulation,[],[f11213,f679]) ).
fof(f11213,plain,
( sum(n4,n11) != sum(n18,n18)
| ~ spl2_11
| ~ spl2_23 ),
inference(forward_demodulation,[],[f11212,f141]) ).
fof(f11212,plain,
( sum(n18,n18) != sum(sum(n1,n3),n11)
| ~ spl2_11
| ~ spl2_23 ),
inference(forward_demodulation,[],[f11211,f463]) ).
fof(f463,plain,
n18 = sum(n1,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f11211,plain,
( sum(sum(n1,n3),n11) != sum(sum(n1,n17),n18)
| ~ spl2_11
| ~ spl2_23 ),
inference(forward_demodulation,[],[f11210,f62]) ).
fof(f11210,plain,
( sum(sum(n1,n3),n11) != sum(sum(n1,n17),sum(n15,n3))
| ~ spl2_11
| ~ spl2_23 ),
inference(forward_demodulation,[],[f11209,f231]) ).
fof(f11209,plain,
( sum(sum(pred(n2),n17),sum(n15,n3)) != sum(sum(pred(n2),n3),n11)
| ~ spl2_11
| ~ spl2_23 ),
inference(forward_demodulation,[],[f11208,f184]) ).
fof(f11208,plain,
( sum(sum(pred(n2),n17),sum(n15,succ(n2))) != sum(sum(pred(n2),succ(n2)),n11)
| ~ spl2_11
| ~ spl2_23 ),
inference(forward_demodulation,[],[f11030,f792]) ).
fof(f11179,plain,
( ~ spl2_11
| ~ spl2_34 ),
inference(avatar_contradiction_clause,[],[f11178]) ).
fof(f11178,plain,
( $false
| ~ spl2_11
| ~ spl2_34 ),
inference(trivial_inequality_removal,[],[f11177]) ).
fof(f11177,plain,
( n11 != n11
| ~ spl2_11
| ~ spl2_34 ),
inference(forward_demodulation,[],[f11176,f261]) ).
fof(f261,plain,
n11 = sum(n0,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f11176,plain,
( n11 != sum(n0,n11)
| ~ spl2_11
| ~ spl2_34 ),
inference(forward_demodulation,[],[f11175,f193]) ).
fof(f11175,plain,
( sum(n0,n11) != sum(n16,n16)
| ~ spl2_11
| ~ spl2_34 ),
inference(forward_demodulation,[],[f11174,f510]) ).
fof(f11174,plain,
( sum(n16,n16) != sum(sum(n20,n1),n11)
| ~ spl2_11
| ~ spl2_34 ),
inference(forward_demodulation,[],[f11173,f151]) ).
fof(f11173,plain,
( sum(sum(n20,n1),n11) != sum(sum(n20,n17),n16)
| ~ spl2_11
| ~ spl2_34 ),
inference(forward_demodulation,[],[f11172,f358]) ).
fof(f11172,plain,
( sum(sum(pred(n0),n17),n16) != sum(sum(pred(n0),n1),n11)
| ~ spl2_11
| ~ spl2_34 ),
inference(forward_demodulation,[],[f11171,f428]) ).
fof(f11171,plain,
( sum(sum(pred(n0),n1),n11) != sum(sum(pred(n0),n17),sum(n15,n1))
| ~ spl2_11
| ~ spl2_34 ),
inference(forward_demodulation,[],[f11170,f192]) ).
fof(f11170,plain,
( sum(sum(pred(n0),n17),sum(n15,succ(n0))) != sum(sum(pred(n0),succ(n0)),n11)
| ~ spl2_11
| ~ spl2_34 ),
inference(backward_demodulation,[],[f11030,f836]) ).
fof(f11155,plain,
( ~ spl2_11
| ~ spl2_36 ),
inference(avatar_contradiction_clause,[],[f11154]) ).
fof(f11154,plain,
( $false
| ~ spl2_11
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f11153]) ).
fof(f11153,plain,
( n8 != n8
| ~ spl2_11
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11152,f157]) ).
fof(f11152,plain,
( n8 != sum(n4,n4)
| ~ spl2_11
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11151,f620]) ).
fof(f11151,plain,
( sum(n4,n4) != sum(n18,n11)
| ~ spl2_11
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11150,f616]) ).
fof(f616,plain,
n4 = sum(n8,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f11150,plain,
( sum(n18,n11) != sum(sum(n8,n17),n4)
| ~ spl2_11
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11149,f391]) ).
fof(f11149,plain,
( sum(sum(n8,n17),n4) != sum(sum(n8,n10),n11)
| ~ spl2_11
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11148,f333]) ).
fof(f11148,plain,
( sum(sum(pred(n9),n10),n11) != sum(sum(pred(n9),n17),n4)
| ~ spl2_11
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11147,f229]) ).
fof(f11147,plain,
( sum(sum(pred(n9),n10),n11) != sum(sum(pred(n9),n17),sum(n15,n10))
| ~ spl2_11
| ~ spl2_36 ),
inference(forward_demodulation,[],[f11146,f699]) ).
fof(f11146,plain,
( sum(sum(pred(n9),n17),sum(n15,succ(n9))) != sum(sum(pred(n9),succ(n9)),n11)
| ~ spl2_11
| ~ spl2_36 ),
inference(backward_demodulation,[],[f11030,f844]) ).
fof(f11129,plain,
( ~ spl2_11
| ~ spl2_25 ),
inference(avatar_contradiction_clause,[],[f11128]) ).
fof(f11128,plain,
( $false
| ~ spl2_11
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f11127]) ).
fof(f11127,plain,
( n20 != n20
| ~ spl2_11
| ~ spl2_25 ),
inference(forward_demodulation,[],[f11126,f16]) ).
fof(f11126,plain,
( n20 != sum(n9,n11)
| ~ spl2_11
| ~ spl2_25 ),
inference(forward_demodulation,[],[f11125,f324]) ).
fof(f11125,plain,
( sum(n9,n11) != sum(n10,n10)
| ~ spl2_11
| ~ spl2_25 ),
inference(forward_demodulation,[],[f11124,f486]) ).
fof(f11124,plain,
( sum(n10,n10) != sum(sum(n14,n16),n11)
| ~ spl2_11
| ~ spl2_25 ),
inference(forward_demodulation,[],[f11123,f170]) ).
fof(f11123,plain,
( sum(sum(n14,n16),n11) != sum(sum(n14,n17),n10)
| ~ spl2_11
| ~ spl2_25 ),
inference(forward_demodulation,[],[f11122,f138]) ).
fof(f138,plain,
n10 = sum(n15,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f11122,plain,
( sum(sum(n14,n16),n11) != sum(sum(n14,n17),sum(n15,n16))
| ~ spl2_11
| ~ spl2_25 ),
inference(forward_demodulation,[],[f11121,f562]) ).
fof(f11121,plain,
( sum(sum(pred(n15),n17),sum(n15,n16)) != sum(sum(pred(n15),n16),n11)
| ~ spl2_11
| ~ spl2_25 ),
inference(forward_demodulation,[],[f11120,f37]) ).
fof(f11120,plain,
( sum(sum(pred(n15),n17),sum(n15,succ(n15))) != sum(sum(pred(n15),succ(n15)),n11)
| ~ spl2_11
| ~ spl2_25 ),
inference(backward_demodulation,[],[f11030,f800]) ).
fof(f11102,plain,
( ~ spl2_11
| ~ spl2_40 ),
inference(avatar_contradiction_clause,[],[f11101]) ).
fof(f11101,plain,
( $false
| ~ spl2_11
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f11100]) ).
fof(f11100,plain,
( n5 != n5
| ~ spl2_11
| ~ spl2_40 ),
inference(forward_demodulation,[],[f11099,f66]) ).
fof(f11099,plain,
( n5 != sum(n13,n13)
| ~ spl2_11
| ~ spl2_40 ),
inference(forward_demodulation,[],[f11098,f171]) ).
fof(f11098,plain,
( sum(n13,n13) != sum(n15,n11)
| ~ spl2_11
| ~ spl2_40 ),
inference(forward_demodulation,[],[f11097,f106]) ).
fof(f11097,plain,
( sum(n15,n11) != sum(sum(n17,n17),n13)
| ~ spl2_11
| ~ spl2_40 ),
inference(forward_demodulation,[],[f11096,f402]) ).
fof(f11096,plain,
( sum(sum(n17,n17),n13) != sum(sum(n17,n19),n11)
| ~ spl2_11
| ~ spl2_40 ),
inference(forward_demodulation,[],[f11095,f82]) ).
fof(f82,plain,
n13 = sum(n15,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f11095,plain,
( sum(sum(n17,n19),n11) != sum(sum(n17,n17),sum(n15,n19))
| ~ spl2_11
| ~ spl2_40 ),
inference(forward_demodulation,[],[f11094,f651]) ).
fof(f11094,plain,
( sum(sum(pred(n18),n17),sum(n15,n19)) != sum(sum(pred(n18),n19),n11)
| ~ spl2_11
| ~ spl2_40 ),
inference(forward_demodulation,[],[f11093,f40]) ).
fof(f11093,plain,
( sum(sum(pred(n18),succ(n18)),n11) != sum(sum(pred(n18),n17),sum(n15,succ(n18)))
| ~ spl2_11
| ~ spl2_40 ),
inference(backward_demodulation,[],[f11030,f860]) ).
fof(f11072,plain,
( ~ spl2_11
| ~ spl2_32 ),
inference(avatar_contradiction_clause,[],[f11071]) ).
fof(f11071,plain,
( $false
| ~ spl2_11
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f11070]) ).
fof(f11070,plain,
( n0 != n0
| ~ spl2_11
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11069,f296]) ).
fof(f11069,plain,
( n0 != sum(n0,n0)
| ~ spl2_11
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11068,f406]) ).
fof(f11068,plain,
( sum(n0,n0) != sum(n10,n11)
| ~ spl2_11
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11067,f235]) ).
fof(f11067,plain,
( sum(n10,n11) != sum(sum(n4,n17),n0)
| ~ spl2_11
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11066,f467]) ).
fof(f11066,plain,
( sum(n10,n11) != sum(sum(n4,n17),sum(n15,n6))
| ~ spl2_11
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11065,f464]) ).
fof(f11065,plain,
( sum(sum(n4,n17),sum(n15,n6)) != sum(sum(n4,n6),n11)
| ~ spl2_11
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11064,f126]) ).
fof(f11064,plain,
( sum(sum(pred(n5),n17),sum(n15,n6)) != sum(sum(pred(n5),n6),n11)
| ~ spl2_11
| ~ spl2_32 ),
inference(forward_demodulation,[],[f11063,f692]) ).
fof(f11063,plain,
( sum(sum(pred(n5),n17),sum(n15,succ(n5))) != sum(sum(pred(n5),succ(n5)),n11)
| ~ spl2_11
| ~ spl2_32 ),
inference(backward_demodulation,[],[f11030,f828]) ).
fof(f11019,plain,
( ~ spl2_14
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f11018]) ).
fof(f11018,plain,
( $false
| ~ spl2_14
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f11017]) ).
fof(f11017,plain,
( n18 != n18
| ~ spl2_14
| ~ spl2_29 ),
inference(forward_demodulation,[],[f11016,f320]) ).
fof(f11016,plain,
( n18 != sum(n6,n12)
| ~ spl2_14
| ~ spl2_29 ),
inference(forward_demodulation,[],[f11015,f357]) ).
fof(f11015,plain,
( sum(n6,n12) != sum(n9,n9)
| ~ spl2_14
| ~ spl2_29 ),
inference(forward_demodulation,[],[f11014,f189]) ).
fof(f11014,plain,
( sum(n6,n12) != sum(sum(n2,n7),n9)
| ~ spl2_14
| ~ spl2_29 ),
inference(forward_demodulation,[],[f11013,f511]) ).
fof(f11013,plain,
( sum(sum(n2,n7),n9) != sum(n6,sum(n5,n7))
| ~ spl2_14
| ~ spl2_29 ),
inference(forward_demodulation,[],[f11012,f457]) ).
fof(f11012,plain,
( sum(n6,sum(n5,succ(n6))) != sum(sum(n2,succ(n6)),n9)
| ~ spl2_14
| ~ spl2_29 ),
inference(forward_demodulation,[],[f11011,f412]) ).
fof(f11011,plain,
( sum(n6,sum(n5,succ(n6))) != sum(sum(n2,succ(n6)),sum(n5,n4))
| ~ spl2_14
| ~ spl2_29 ),
inference(forward_demodulation,[],[f11010,f530]) ).
fof(f11010,plain,
( sum(n6,sum(pred(n6),succ(n6))) != sum(sum(n2,succ(n6)),sum(pred(n6),n4))
| ~ spl2_14
| ~ spl2_29 ),
inference(backward_demodulation,[],[f10790,f755]) ).
fof(f10790,plain,
( sum(sum(n2,succ(sK1)),sum(pred(sK1),n4)) != sum(n6,sum(pred(sK1),succ(sK1)))
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10789,f533]) ).
fof(f10789,plain,
( sum(sum(n2,succ(sK1)),sum(pred(sK1),n4)) != sum(sum(n2,n4),sum(pred(sK1),succ(sK1)))
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10788,f174]) ).
fof(f10788,plain,
( sum(sum(pred(n3),succ(sK1)),sum(pred(sK1),n4)) != sum(sum(pred(n3),n4),sum(pred(sK1),succ(sK1)))
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10787,f447]) ).
fof(f10787,plain,
( sum(sum(pred(n3),succ(sK1)),sum(pred(sK1),succ(n3))) != sum(sum(pred(n3),succ(n3)),sum(pred(sK1),succ(sK1)))
| ~ spl2_29 ),
inference(forward_demodulation,[],[f346,f816]) ).
fof(f816,plain,
( n3 = sK0
| ~ spl2_29 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f814,plain,
( spl2_29
<=> n3 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_29])]) ).
fof(f10992,plain,
( ~ spl2_13
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f10991]) ).
fof(f10991,plain,
( $false
| ~ spl2_13
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f10990]) ).
fof(f10990,plain,
( n16 != n16
| ~ spl2_13
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10989,f263]) ).
fof(f10989,plain,
( n16 != sum(n6,n10)
| ~ spl2_13
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10988,f177]) ).
fof(f10988,plain,
( sum(n6,n10) != sum(n8,n8)
| ~ spl2_13
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10987,f464]) ).
fof(f10987,plain,
( sum(n8,n8) != sum(n6,sum(n4,n6))
| ~ spl2_13
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10986,f22]) ).
fof(f10986,plain,
( sum(n6,sum(n4,n6)) != sum(sum(n2,n6),n8)
| ~ spl2_13
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10985,f692]) ).
fof(f10985,plain,
( sum(n6,sum(n4,succ(n5))) != sum(sum(n2,succ(n5)),n8)
| ~ spl2_13
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10984,f157]) ).
fof(f10984,plain,
( sum(n6,sum(n4,succ(n5))) != sum(sum(n2,succ(n5)),sum(n4,n4))
| ~ spl2_13
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10983,f126]) ).
fof(f10983,plain,
( sum(n6,sum(pred(n5),succ(n5))) != sum(sum(n2,succ(n5)),sum(pred(n5),n4))
| ~ spl2_13
| ~ spl2_29 ),
inference(backward_demodulation,[],[f10790,f751]) ).
fof(f10948,plain,
( ~ spl2_11
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f10947]) ).
fof(f10947,plain,
( $false
| ~ spl2_11
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f10946]) ).
fof(f10946,plain,
( n17 != n17
| ~ spl2_11
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10945,f430]) ).
fof(f10945,plain,
( n17 != sum(n6,n11)
| ~ spl2_11
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10944,f210]) ).
fof(f10944,plain,
( sum(n6,n11) != sum(n19,n19)
| ~ spl2_11
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10943,f484]) ).
fof(f10943,plain,
( sum(n6,n11) != sum(sum(n2,n17),n19)
| ~ spl2_11
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10942,f196]) ).
fof(f196,plain,
n19 = sum(n15,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f10942,plain,
( sum(n6,n11) != sum(sum(n2,n17),sum(n15,n4))
| ~ spl2_11
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10941,f383]) ).
fof(f10941,plain,
( sum(sum(n2,n17),sum(n15,n4)) != sum(n6,sum(n15,n17))
| ~ spl2_11
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10940,f418]) ).
fof(f10940,plain,
( sum(n6,sum(pred(n16),n17)) != sum(sum(n2,n17),sum(pred(n16),n4))
| ~ spl2_11
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10939,f233]) ).
fof(f10939,plain,
( sum(sum(n2,succ(n16)),sum(pred(n16),n4)) != sum(n6,sum(pred(n16),succ(n16)))
| ~ spl2_11
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10790,f743]) ).
fof(f10923,plain,
( ~ spl2_3
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f10922]) ).
fof(f10922,plain,
( $false
| ~ spl2_3
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f10921]) ).
fof(f10921,plain,
( n11 != n11
| ~ spl2_3
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10920,f379]) ).
fof(f379,plain,
n11 = sum(n6,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f10920,plain,
( n11 != sum(n6,n5)
| ~ spl2_3
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10919,f193]) ).
fof(f10919,plain,
( sum(n6,n5) != sum(n16,n16)
| ~ spl2_3
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10918,f569]) ).
fof(f10918,plain,
( sum(n6,n5) != sum(sum(n2,n14),n16)
| ~ spl2_3
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10917,f538]) ).
fof(f538,plain,
n16 = sum(n12,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f10917,plain,
( sum(n6,n5) != sum(sum(n2,n14),sum(n12,n4))
| ~ spl2_3
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10916,f610]) ).
fof(f10916,plain,
( sum(sum(n2,n14),sum(n12,n4)) != sum(n6,sum(n12,n14))
| ~ spl2_3
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10915,f225]) ).
fof(f10915,plain,
( sum(sum(n2,n14),sum(pred(n13),n4)) != sum(n6,sum(pred(n13),n14))
| ~ spl2_3
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10914,f502]) ).
fof(f10914,plain,
( sum(sum(n2,succ(n13)),sum(pred(n13),n4)) != sum(n6,sum(pred(n13),succ(n13)))
| ~ spl2_3
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10790,f711]) ).
fof(f10900,plain,
( ~ spl2_4
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f10899]) ).
fof(f10899,plain,
( $false
| ~ spl2_4
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f10898]) ).
fof(f10898,plain,
( n9 != n9
| ~ spl2_4
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10897,f545]) ).
fof(f10897,plain,
( n9 != sum(n6,n3)
| ~ spl2_4
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10896,f318]) ).
fof(f10896,plain,
( sum(n6,n3) != sum(n15,n15)
| ~ spl2_4
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10895,f45]) ).
fof(f45,plain,
n15 = sum(n2,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f10895,plain,
( sum(n6,n3) != sum(sum(n2,n13),n15)
| ~ spl2_4
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10894,f125]) ).
fof(f10894,plain,
( sum(sum(n2,n13),n15) != sum(n6,sum(n11,n13))
| ~ spl2_4
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10893,f278]) ).
fof(f10893,plain,
( sum(n6,sum(n11,succ(n12))) != sum(sum(n2,succ(n12)),n15)
| ~ spl2_4
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10892,f491]) ).
fof(f491,plain,
n15 = sum(n11,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f10892,plain,
( sum(n6,sum(n11,succ(n12))) != sum(sum(n2,succ(n12)),sum(n11,n4))
| ~ spl2_4
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10891,f347]) ).
fof(f10891,plain,
( sum(n6,sum(pred(n12),succ(n12))) != sum(sum(n2,succ(n12)),sum(pred(n12),n4))
| ~ spl2_4
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10790,f715]) ).
fof(f10858,plain,
( ~ spl2_5
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f10857]) ).
fof(f10857,plain,
( $false
| ~ spl2_5
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f10856]) ).
fof(f10856,plain,
( n20 != n20
| ~ spl2_5
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10855,f578]) ).
fof(f10855,plain,
( n20 != sum(n6,n14)
| ~ spl2_5
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10854,f324]) ).
fof(f10854,plain,
( sum(n6,n14) != sum(n10,n10)
| ~ spl2_5
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10853,f56]) ).
fof(f10853,plain,
( sum(n6,n14) != sum(sum(n2,n8),n10)
| ~ spl2_5
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10852,f331]) ).
fof(f10852,plain,
( sum(n6,n14) != sum(sum(n2,n8),sum(n6,n4))
| ~ spl2_5
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10851,f496]) ).
fof(f10851,plain,
( sum(sum(n2,n8),sum(n6,n4)) != sum(n6,sum(n6,n8))
| ~ spl2_5
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10850,f302]) ).
fof(f10850,plain,
( sum(sum(n2,succ(n7)),sum(n6,n4)) != sum(n6,sum(n6,succ(n7)))
| ~ spl2_5
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10849,f519]) ).
fof(f10849,plain,
( sum(n6,sum(pred(n7),succ(n7))) != sum(sum(n2,succ(n7)),sum(pred(n7),n4))
| ~ spl2_5
| ~ spl2_29 ),
inference(backward_demodulation,[],[f10790,f719]) ).
fof(f10843,plain,
( ~ spl2_7
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f10842]) ).
fof(f10842,plain,
( $false
| ~ spl2_7
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f10841]) ).
fof(f10841,plain,
( n6 != n6
| ~ spl2_7
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10840,f419]) ).
fof(f10840,plain,
( n6 != sum(n3,n3)
| ~ spl2_7
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10839,f653]) ).
fof(f653,plain,
n6 = sum(n6,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f10839,plain,
( sum(n3,n3) != sum(n6,n0)
| ~ spl2_7
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10838,f510]) ).
fof(f10838,plain,
( sum(n3,n3) != sum(n6,sum(n20,n1))
| ~ spl2_7
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10837,f28]) ).
fof(f10837,plain,
( sum(n6,sum(n20,n1)) != sum(sum(n2,n1),n3)
| ~ spl2_7
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10836,f415]) ).
fof(f10836,plain,
( sum(n6,sum(n20,n1)) != sum(sum(n2,n1),sum(n20,n4))
| ~ spl2_7
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10835,f192]) ).
fof(f10835,plain,
( sum(sum(n2,succ(n0)),sum(n20,n4)) != sum(n6,sum(n20,succ(n0)))
| ~ spl2_7
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10834,f358]) ).
fof(f10834,plain,
( sum(n6,sum(pred(n0),succ(n0))) != sum(sum(n2,succ(n0)),sum(pred(n0),n4))
| ~ spl2_7
| ~ spl2_29 ),
inference(backward_demodulation,[],[f10790,f727]) ).
fof(f10812,plain,
( ~ spl2_1
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f10811]) ).
fof(f10811,plain,
( $false
| ~ spl2_1
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f10810]) ).
fof(f10810,plain,
( sum(n6,n6) != sum(n6,n6)
| ~ spl2_1
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10809,f533]) ).
fof(f10809,plain,
( sum(sum(n2,n4),sum(n2,n4)) != sum(n6,sum(n2,n4))
| ~ spl2_1
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10808,f447]) ).
fof(f10808,plain,
( sum(sum(n2,succ(n3)),sum(n2,n4)) != sum(n6,sum(n2,succ(n3)))
| ~ spl2_1
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10807,f174]) ).
fof(f10807,plain,
( sum(n6,sum(pred(n3),succ(n3))) != sum(sum(n2,succ(n3)),sum(pred(n3),n4))
| ~ spl2_1
| ~ spl2_29 ),
inference(backward_demodulation,[],[f10790,f703]) ).
fof(f10782,plain,
( ~ spl2_6
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f10781]) ).
fof(f10781,plain,
( $false
| ~ spl2_6
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f10780]) ).
fof(f10780,plain,
( n7 != n7
| ~ spl2_6
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10779,f311]) ).
fof(f10779,plain,
( n7 != sum(n6,n1)
| ~ spl2_6
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10778,f243]) ).
fof(f10778,plain,
( sum(n6,n1) != sum(n14,n14)
| ~ spl2_6
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10777,f533]) ).
fof(f10777,plain,
( sum(n14,n14) != sum(sum(n2,n4),n1)
| ~ spl2_6
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10776,f75]) ).
fof(f10776,plain,
( sum(sum(n2,n4),n1) != sum(sum(n2,n12),n14)
| ~ spl2_6
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10775,f174]) ).
fof(f10775,plain,
( sum(sum(pred(n3),n12),n14) != sum(sum(pred(n3),n4),n1)
| ~ spl2_6
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10774,f94]) ).
fof(f94,plain,
n14 = sum(n10,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f10774,plain,
( sum(sum(pred(n3),n4),n1) != sum(sum(pred(n3),n12),sum(n10,n4))
| ~ spl2_6
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10773,f447]) ).
fof(f10773,plain,
( sum(sum(pred(n3),n12),sum(n10,succ(n3))) != sum(sum(pred(n3),succ(n3)),n1)
| ~ spl2_6
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10772,f816]) ).
fof(f10772,plain,
( sum(sum(pred(sK0),succ(sK0)),n1) != sum(sum(pred(sK0),n12),sum(n10,succ(sK0)))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f10771,f21]) ).
fof(f10771,plain,
( sum(sum(pred(sK0),n12),sum(n10,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n10,n12))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f10770,f266]) ).
fof(f10770,plain,
( sum(sum(pred(sK0),n12),sum(pred(n11),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n11),n12))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f10769,f641]) ).
fof(f10769,plain,
( sum(sum(pred(sK0),succ(n11)),sum(pred(n11),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n11),succ(n11)))
| ~ spl2_6 ),
inference(forward_demodulation,[],[f346,f723]) ).
fof(f10744,plain,
( ~ spl2_12
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f10743]) ).
fof(f10743,plain,
( $false
| ~ spl2_12
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f10742]) ).
fof(f10742,plain,
( n2 != n2
| ~ spl2_12
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10741,f433]) ).
fof(f10741,plain,
( n2 != sum(n1,n1)
| ~ spl2_12
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10740,f443]) ).
fof(f10740,plain,
( sum(n1,n1) != sum(n6,n17)
| ~ spl2_12
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10739,f55]) ).
fof(f55,plain,
n1 = sum(n2,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f10739,plain,
( sum(n6,n17) != sum(sum(n2,n20),n1)
| ~ spl2_12
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10738,f373]) ).
fof(f373,plain,
n1 = sum(n18,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f10738,plain,
( sum(n6,n17) != sum(sum(n2,n20),sum(n18,n4))
| ~ spl2_12
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10737,f533]) ).
fof(f10737,plain,
( sum(sum(n2,n20),sum(n18,n4)) != sum(sum(n2,n4),n17)
| ~ spl2_12
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10736,f174]) ).
fof(f10736,plain,
( sum(sum(pred(n3),n20),sum(n18,n4)) != sum(sum(pred(n3),n4),n17)
| ~ spl2_12
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10735,f447]) ).
fof(f10735,plain,
( sum(sum(pred(n3),n20),sum(n18,succ(n3))) != sum(sum(pred(n3),succ(n3)),n17)
| ~ spl2_12
| ~ spl2_29 ),
inference(backward_demodulation,[],[f10719,f816]) ).
fof(f10719,plain,
( sum(sum(pred(sK0),n20),sum(n18,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n17)
| ~ spl2_12 ),
inference(forward_demodulation,[],[f10718,f153]) ).
fof(f10718,plain,
( sum(sum(pred(sK0),n20),sum(n18,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n18,n20))
| ~ spl2_12 ),
inference(forward_demodulation,[],[f10717,f350]) ).
fof(f10717,plain,
( sum(sum(pred(sK0),n20),sum(pred(n19),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n19),n20))
| ~ spl2_12 ),
inference(forward_demodulation,[],[f10716,f508]) ).
fof(f10716,plain,
( sum(sum(pred(sK0),succ(n19)),sum(pred(n19),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n19),succ(n19)))
| ~ spl2_12 ),
inference(forward_demodulation,[],[f346,f747]) ).
fof(f10690,plain,
( ~ spl2_10
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f10689]) ).
fof(f10689,plain,
( $false
| ~ spl2_10
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f10688]) ).
fof(f10688,plain,
( sum(n20,n20) != sum(n20,n20)
| ~ spl2_10
| ~ spl2_42 ),
inference(forward_demodulation,[],[f10687,f16]) ).
fof(f10687,plain,
( sum(sum(n9,n11),n20) != sum(sum(n9,n11),sum(n9,n11))
| ~ spl2_10
| ~ spl2_42 ),
inference(forward_demodulation,[],[f10686,f693]) ).
fof(f10686,plain,
( sum(sum(pred(n10),n11),sum(n9,n11)) != sum(sum(pred(n10),n11),n20)
| ~ spl2_10
| ~ spl2_42 ),
inference(forward_demodulation,[],[f10685,f114]) ).
fof(f10685,plain,
( sum(sum(pred(n10),n11),sum(n9,succ(n10))) != sum(sum(pred(n10),succ(n10)),n20)
| ~ spl2_10
| ~ spl2_42 ),
inference(backward_demodulation,[],[f10410,f868]) ).
fof(f10410,plain,
( sum(sum(pred(sK0),n11),sum(n9,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n20)
| ~ spl2_10 ),
inference(forward_demodulation,[],[f10409,f16]) ).
fof(f10409,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(n9,n11)) != sum(sum(pred(sK0),n11),sum(n9,succ(sK0)))
| ~ spl2_10 ),
inference(forward_demodulation,[],[f10408,f114]) ).
fof(f10408,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(n9,succ(n10))) != sum(sum(pred(sK0),succ(n10)),sum(n9,succ(sK0)))
| ~ spl2_10 ),
inference(forward_demodulation,[],[f10407,f693]) ).
fof(f10407,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n10),succ(n10))) != sum(sum(pred(sK0),succ(n10)),sum(pred(n10),succ(sK0)))
| ~ spl2_10 ),
inference(forward_demodulation,[],[f346,f739]) ).
fof(f739,plain,
( n10 = sK1
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f737,plain,
( spl2_10
<=> n10 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f10661,plain,
( ~ spl2_10
| ~ spl2_34 ),
inference(avatar_contradiction_clause,[],[f10660]) ).
fof(f10660,plain,
( $false
| ~ spl2_10
| ~ spl2_34 ),
inference(trivial_inequality_removal,[],[f10659]) ).
fof(f10659,plain,
( n20 != n20
| ~ spl2_10
| ~ spl2_34 ),
inference(forward_demodulation,[],[f10658,f60]) ).
fof(f10658,plain,
( n20 != sum(n0,n20)
| ~ spl2_10
| ~ spl2_34 ),
inference(forward_demodulation,[],[f10657,f324]) ).
fof(f10657,plain,
( sum(n0,n20) != sum(n10,n10)
| ~ spl2_10
| ~ spl2_34 ),
inference(forward_demodulation,[],[f10656,f103]) ).
fof(f10656,plain,
( sum(n0,n20) != sum(sum(n20,n11),n10)
| ~ spl2_10
| ~ spl2_34 ),
inference(forward_demodulation,[],[f10655,f33]) ).
fof(f10655,plain,
( sum(n0,n20) != sum(sum(n20,n11),sum(n9,n1))
| ~ spl2_10
| ~ spl2_34 ),
inference(forward_demodulation,[],[f10654,f510]) ).
fof(f10654,plain,
( sum(sum(n20,n11),sum(n9,n1)) != sum(sum(n20,n1),n20)
| ~ spl2_10
| ~ spl2_34 ),
inference(forward_demodulation,[],[f10653,f358]) ).
fof(f10653,plain,
( sum(sum(pred(n0),n11),sum(n9,n1)) != sum(sum(pred(n0),n1),n20)
| ~ spl2_10
| ~ spl2_34 ),
inference(forward_demodulation,[],[f10652,f192]) ).
fof(f10652,plain,
( sum(sum(pred(n0),succ(n0)),n20) != sum(sum(pred(n0),n11),sum(n9,succ(n0)))
| ~ spl2_10
| ~ spl2_34 ),
inference(forward_demodulation,[],[f10410,f836]) ).
fof(f10625,plain,
( ~ spl2_10
| ~ spl2_23 ),
inference(avatar_contradiction_clause,[],[f10624]) ).
fof(f10624,plain,
( $false
| ~ spl2_10
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f10623]) ).
fof(f10623,plain,
( n3 != n3
| ~ spl2_10
| ~ spl2_23 ),
inference(forward_demodulation,[],[f10622,f524]) ).
fof(f10622,plain,
( n3 != sum(n4,n20)
| ~ spl2_10
| ~ spl2_23 ),
inference(forward_demodulation,[],[f10621,f546]) ).
fof(f10621,plain,
( sum(n4,n20) != sum(n12,n12)
| ~ spl2_10
| ~ spl2_23 ),
inference(forward_demodulation,[],[f10620,f141]) ).
fof(f10620,plain,
( sum(n12,n12) != sum(sum(n1,n3),n20)
| ~ spl2_10
| ~ spl2_23 ),
inference(forward_demodulation,[],[f10619,f540]) ).
fof(f540,plain,
n12 = sum(n1,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f10619,plain,
( sum(sum(n1,n3),n20) != sum(sum(n1,n11),n12)
| ~ spl2_10
| ~ spl2_23 ),
inference(forward_demodulation,[],[f10618,f231]) ).
fof(f10618,plain,
( sum(sum(pred(n2),n3),n20) != sum(sum(pred(n2),n11),n12)
| ~ spl2_10
| ~ spl2_23 ),
inference(forward_demodulation,[],[f10617,f628]) ).
fof(f10617,plain,
( sum(sum(pred(n2),n3),n20) != sum(sum(pred(n2),n11),sum(n9,n3))
| ~ spl2_10
| ~ spl2_23 ),
inference(forward_demodulation,[],[f10616,f184]) ).
fof(f10616,plain,
( sum(sum(pred(n2),n11),sum(n9,succ(n2))) != sum(sum(pred(n2),succ(n2)),n20)
| ~ spl2_10
| ~ spl2_23 ),
inference(forward_demodulation,[],[f10410,f792]) ).
fof(f10608,plain,
( ~ spl2_10
| ~ spl2_25 ),
inference(avatar_contradiction_clause,[],[f10607]) ).
fof(f10607,plain,
( $false
| ~ spl2_10
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f10606]) ).
fof(f10606,plain,
( n8 != n8
| ~ spl2_10
| ~ spl2_25 ),
inference(forward_demodulation,[],[f10605,f157]) ).
fof(f10605,plain,
( n8 != sum(n4,n4)
| ~ spl2_10
| ~ spl2_25 ),
inference(forward_demodulation,[],[f10604,f199]) ).
fof(f10604,plain,
( sum(n4,n4) != sum(n9,n20)
| ~ spl2_10
| ~ spl2_25 ),
inference(forward_demodulation,[],[f10603,f624]) ).
fof(f10603,plain,
( sum(n9,n20) != sum(sum(n14,n11),n4)
| ~ spl2_10
| ~ spl2_25 ),
inference(forward_demodulation,[],[f10602,f566]) ).
fof(f566,plain,
n4 = sum(n9,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f10602,plain,
( sum(n9,n20) != sum(sum(n14,n11),sum(n9,n16))
| ~ spl2_10
| ~ spl2_25 ),
inference(forward_demodulation,[],[f10601,f486]) ).
fof(f10601,plain,
( sum(sum(n14,n11),sum(n9,n16)) != sum(sum(n14,n16),n20)
| ~ spl2_10
| ~ spl2_25 ),
inference(forward_demodulation,[],[f10600,f562]) ).
fof(f10600,plain,
( sum(sum(pred(n15),n11),sum(n9,n16)) != sum(sum(pred(n15),n16),n20)
| ~ spl2_10
| ~ spl2_25 ),
inference(forward_demodulation,[],[f10599,f37]) ).
fof(f10599,plain,
( sum(sum(pred(n15),succ(n15)),n20) != sum(sum(pred(n15),n11),sum(n9,succ(n15)))
| ~ spl2_10
| ~ spl2_25 ),
inference(backward_demodulation,[],[f10410,f800]) ).
fof(f10582,plain,
( ~ spl2_10
| ~ spl2_36 ),
inference(avatar_contradiction_clause,[],[f10581]) ).
fof(f10581,plain,
( $false
| ~ spl2_10
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f10580]) ).
fof(f10580,plain,
( n17 != n17
| ~ spl2_10
| ~ spl2_36 ),
inference(forward_demodulation,[],[f10579,f153]) ).
fof(f10579,plain,
( n17 != sum(n18,n20)
| ~ spl2_10
| ~ spl2_36 ),
inference(forward_demodulation,[],[f10578,f210]) ).
fof(f10578,plain,
( sum(n18,n20) != sum(n19,n19)
| ~ spl2_10
| ~ spl2_36 ),
inference(forward_demodulation,[],[f10577,f698]) ).
fof(f698,plain,
n19 = sum(n8,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f10577,plain,
( sum(n18,n20) != sum(sum(n8,n11),n19)
| ~ spl2_10
| ~ spl2_36 ),
inference(forward_demodulation,[],[f10576,f61]) ).
fof(f10576,plain,
( sum(n18,n20) != sum(sum(n8,n11),sum(n9,n10))
| ~ spl2_10
| ~ spl2_36 ),
inference(forward_demodulation,[],[f10575,f391]) ).
fof(f10575,plain,
( sum(sum(n8,n11),sum(n9,n10)) != sum(sum(n8,n10),n20)
| ~ spl2_10
| ~ spl2_36 ),
inference(forward_demodulation,[],[f10574,f333]) ).
fof(f10574,plain,
( sum(sum(pred(n9),n11),sum(n9,n10)) != sum(sum(pred(n9),n10),n20)
| ~ spl2_10
| ~ spl2_36 ),
inference(forward_demodulation,[],[f10573,f699]) ).
fof(f10573,plain,
( sum(sum(pred(n9),succ(n9)),n20) != sum(sum(pred(n9),n11),sum(n9,succ(n9)))
| ~ spl2_10
| ~ spl2_36 ),
inference(backward_demodulation,[],[f10410,f844]) ).
fof(f10537,plain,
( ~ spl2_10
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f10536]) ).
fof(f10536,plain,
( $false
| ~ spl2_10
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f10535]) ).
fof(f10535,plain,
( n5 != n5
| ~ spl2_10
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10534,f111]) ).
fof(f10534,plain,
( n5 != sum(n6,n20)
| ~ spl2_10
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10533,f66]) ).
fof(f10533,plain,
( sum(n6,n20) != sum(n13,n13)
| ~ spl2_10
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10532,f533]) ).
fof(f10532,plain,
( sum(n13,n13) != sum(sum(n2,n4),n20)
| ~ spl2_10
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10531,f326]) ).
fof(f10531,plain,
( sum(sum(n2,n4),n20) != sum(sum(n2,n11),n13)
| ~ spl2_10
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10530,f676]) ).
fof(f10530,plain,
( sum(sum(n2,n4),n20) != sum(sum(n2,n11),sum(n9,n4))
| ~ spl2_10
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10529,f174]) ).
fof(f10529,plain,
( sum(sum(pred(n3),n11),sum(n9,n4)) != sum(sum(pred(n3),n4),n20)
| ~ spl2_10
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10528,f447]) ).
fof(f10528,plain,
( sum(sum(pred(n3),n11),sum(n9,succ(n3))) != sum(sum(pred(n3),succ(n3)),n20)
| ~ spl2_10
| ~ spl2_29 ),
inference(forward_demodulation,[],[f10410,f816]) ).
fof(f10525,plain,
( ~ spl2_10
| ~ spl2_38 ),
inference(avatar_contradiction_clause,[],[f10524]) ).
fof(f10524,plain,
( $false
| ~ spl2_10
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f10523]) ).
fof(f10523,plain,
( n1 != n1
| ~ spl2_10
| ~ spl2_38 ),
inference(forward_demodulation,[],[f10522,f55]) ).
fof(f10522,plain,
( n1 != sum(n2,n20)
| ~ spl2_10
| ~ spl2_38 ),
inference(forward_demodulation,[],[f10521,f470]) ).
fof(f10521,plain,
( sum(n2,n20) != sum(n11,n11)
| ~ spl2_10
| ~ spl2_38 ),
inference(forward_demodulation,[],[f10520,f261]) ).
fof(f10520,plain,
( sum(n2,n20) != sum(sum(n0,n11),n11)
| ~ spl2_10
| ~ spl2_38 ),
inference(forward_demodulation,[],[f10519,f190]) ).
fof(f10519,plain,
( sum(sum(n0,n11),n11) != sum(sum(n0,n2),n20)
| ~ spl2_10
| ~ spl2_38 ),
inference(forward_demodulation,[],[f10518,f598]) ).
fof(f10518,plain,
( sum(sum(pred(n1),n11),n11) != sum(sum(pred(n1),n2),n20)
| ~ spl2_10
| ~ spl2_38 ),
inference(forward_demodulation,[],[f10517,f522]) ).
fof(f522,plain,
n11 = sum(n9,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f10517,plain,
( sum(sum(pred(n1),n2),n20) != sum(sum(pred(n1),n11),sum(n9,n2))
| ~ spl2_10
| ~ spl2_38 ),
inference(forward_demodulation,[],[f10516,f677]) ).
fof(f10516,plain,
( sum(sum(pred(n1),succ(n1)),n20) != sum(sum(pred(n1),n11),sum(n9,succ(n1)))
| ~ spl2_10
| ~ spl2_38 ),
inference(forward_demodulation,[],[f10410,f852]) ).
fof(f10486,plain,
( ~ spl2_10
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f10485]) ).
fof(f10485,plain,
( $false
| ~ spl2_10
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f10484]) ).
fof(f10484,plain,
( n11 != n11
| ~ spl2_10
| ~ spl2_28 ),
inference(forward_demodulation,[],[f10483,f29]) ).
fof(f29,plain,
n11 = sum(n12,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f10483,plain,
( n11 != sum(n12,n20)
| ~ spl2_10
| ~ spl2_28 ),
inference(forward_demodulation,[],[f10482,f193]) ).
fof(f10482,plain,
( sum(n12,n20) != sum(n16,n16)
| ~ spl2_10
| ~ spl2_28 ),
inference(forward_demodulation,[],[f10481,f649]) ).
fof(f10481,plain,
( sum(n12,n20) != sum(sum(n5,n11),n16)
| ~ spl2_10
| ~ spl2_28 ),
inference(forward_demodulation,[],[f10480,f511]) ).
fof(f10480,plain,
( sum(sum(n5,n11),n16) != sum(sum(n5,n7),n20)
| ~ spl2_10
| ~ spl2_28 ),
inference(forward_demodulation,[],[f10479,f530]) ).
fof(f10479,plain,
( sum(sum(pred(n6),n7),n20) != sum(sum(pred(n6),n11),n16)
| ~ spl2_10
| ~ spl2_28 ),
inference(forward_demodulation,[],[f10478,f306]) ).
fof(f10478,plain,
( sum(sum(pred(n6),n7),n20) != sum(sum(pred(n6),n11),sum(n9,n7))
| ~ spl2_10
| ~ spl2_28 ),
inference(forward_demodulation,[],[f10477,f457]) ).
fof(f10477,plain,
( sum(sum(pred(n6),succ(n6)),n20) != sum(sum(pred(n6),n11),sum(n9,succ(n6)))
| ~ spl2_10
| ~ spl2_28 ),
inference(forward_demodulation,[],[f10410,f812]) ).
fof(f10455,plain,
( ~ spl2_10
| ~ spl2_32 ),
inference(avatar_contradiction_clause,[],[f10454]) ).
fof(f10454,plain,
( $false
| ~ spl2_10
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f10453]) ).
fof(f10453,plain,
( n9 != n9
| ~ spl2_10
| ~ spl2_32 ),
inference(forward_demodulation,[],[f10452,f11]) ).
fof(f11,plain,
n9 = sum(n10,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f10452,plain,
( n9 != sum(n10,n20)
| ~ spl2_10
| ~ spl2_32 ),
inference(forward_demodulation,[],[f10451,f318]) ).
fof(f10451,plain,
( sum(n10,n20) != sum(n15,n15)
| ~ spl2_10
| ~ spl2_32 ),
inference(forward_demodulation,[],[f10450,f464]) ).
fof(f10450,plain,
( sum(n15,n15) != sum(sum(n4,n6),n20)
| ~ spl2_10
| ~ spl2_32 ),
inference(forward_demodulation,[],[f10449,f152]) ).
fof(f10449,plain,
( sum(sum(n4,n6),n20) != sum(sum(n4,n11),n15)
| ~ spl2_10
| ~ spl2_32 ),
inference(forward_demodulation,[],[f10448,f126]) ).
fof(f10448,plain,
( sum(sum(pred(n5),n6),n20) != sum(sum(pred(n5),n11),n15)
| ~ spl2_10
| ~ spl2_32 ),
inference(forward_demodulation,[],[f10447,f264]) ).
fof(f10447,plain,
( sum(sum(pred(n5),n6),n20) != sum(sum(pred(n5),n11),sum(n9,n6))
| ~ spl2_10
| ~ spl2_32 ),
inference(forward_demodulation,[],[f10446,f692]) ).
fof(f10446,plain,
( sum(sum(pred(n5),succ(n5)),n20) != sum(sum(pred(n5),n11),sum(n9,succ(n5)))
| ~ spl2_10
| ~ spl2_32 ),
inference(forward_demodulation,[],[f10410,f828]) ).
fof(f10435,plain,
( ~ spl2_10
| ~ spl2_40 ),
inference(avatar_contradiction_clause,[],[f10434]) ).
fof(f10434,plain,
( $false
| ~ spl2_10
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f10433]) ).
fof(f10433,plain,
( n14 != n14
| ~ spl2_10
| ~ spl2_40 ),
inference(forward_demodulation,[],[f10432,f395]) ).
fof(f10432,plain,
( n14 != sum(n7,n7)
| ~ spl2_10
| ~ spl2_40 ),
inference(forward_demodulation,[],[f10431,f656]) ).
fof(f656,plain,
n14 = sum(n15,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f10431,plain,
( sum(n7,n7) != sum(n15,n20)
| ~ spl2_10
| ~ spl2_40 ),
inference(forward_demodulation,[],[f10430,f595]) ).
fof(f595,plain,
n7 = sum(n17,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f10430,plain,
( sum(n15,n20) != sum(sum(n17,n11),n7)
| ~ spl2_10
| ~ spl2_40 ),
inference(forward_demodulation,[],[f10429,f402]) ).
fof(f10429,plain,
( sum(sum(n17,n11),n7) != sum(sum(n17,n19),n20)
| ~ spl2_10
| ~ spl2_40 ),
inference(forward_demodulation,[],[f10428,f651]) ).
fof(f10428,plain,
( sum(sum(pred(n18),n19),n20) != sum(sum(pred(n18),n11),n7)
| ~ spl2_10
| ~ spl2_40 ),
inference(forward_demodulation,[],[f10427,f521]) ).
fof(f521,plain,
n7 = sum(n9,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f10427,plain,
( sum(sum(pred(n18),n19),n20) != sum(sum(pred(n18),n11),sum(n9,n19))
| ~ spl2_10
| ~ spl2_40 ),
inference(forward_demodulation,[],[f10426,f40]) ).
fof(f10426,plain,
( sum(sum(pred(n18),succ(n18)),n20) != sum(sum(pred(n18),n11),sum(n9,succ(n18)))
| ~ spl2_10
| ~ spl2_40 ),
inference(backward_demodulation,[],[f10410,f860]) ).
fof(f10382,plain,
( ~ spl2_10
| ~ spl2_30 ),
inference(avatar_contradiction_clause,[],[f10381]) ).
fof(f10381,plain,
( $false
| ~ spl2_10
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f10380]) ).
fof(f10380,plain,
( n13 != n13
| ~ spl2_10
| ~ spl2_30 ),
inference(forward_demodulation,[],[f10379,f48]) ).
fof(f10379,plain,
( n13 != sum(n14,n20)
| ~ spl2_10
| ~ spl2_30 ),
inference(forward_demodulation,[],[f10378,f106]) ).
fof(f10378,plain,
( sum(n14,n20) != sum(n17,n17)
| ~ spl2_10
| ~ spl2_30 ),
inference(forward_demodulation,[],[f10377,f16]) ).
fof(f10377,plain,
( sum(n17,n17) != sum(n14,sum(n9,n11))
| ~ spl2_10
| ~ spl2_30 ),
inference(forward_demodulation,[],[f10376,f430]) ).
fof(f10376,plain,
( sum(n14,sum(n9,n11)) != sum(sum(n6,n11),n17)
| ~ spl2_10
| ~ spl2_30 ),
inference(forward_demodulation,[],[f10375,f494]) ).
fof(f10375,plain,
( sum(n14,sum(n9,n11)) != sum(sum(n6,n11),sum(n9,n8))
| ~ spl2_10
| ~ spl2_30 ),
inference(forward_demodulation,[],[f10374,f693]) ).
fof(f10374,plain,
( sum(sum(n6,n11),sum(pred(n10),n8)) != sum(n14,sum(pred(n10),n11))
| ~ spl2_10
| ~ spl2_30 ),
inference(forward_demodulation,[],[f10370,f114]) ).
fof(f10370,plain,
( sum(sum(n6,succ(n10)),sum(pred(n10),n8)) != sum(n14,sum(pred(n10),succ(n10)))
| ~ spl2_10
| ~ spl2_30 ),
inference(backward_demodulation,[],[f10365,f739]) ).
fof(f10365,plain,
( sum(n14,sum(pred(sK1),succ(sK1))) != sum(sum(n6,succ(sK1)),sum(pred(sK1),n8))
| ~ spl2_30 ),
inference(forward_demodulation,[],[f10364,f496]) ).
fof(f10364,plain,
( sum(sum(n6,succ(sK1)),sum(pred(sK1),n8)) != sum(sum(n6,n8),sum(pred(sK1),succ(sK1)))
| ~ spl2_30 ),
inference(forward_demodulation,[],[f10363,f519]) ).
fof(f10363,plain,
( sum(sum(pred(n7),succ(sK1)),sum(pred(sK1),n8)) != sum(sum(pred(n7),n8),sum(pred(sK1),succ(sK1)))
| ~ spl2_30 ),
inference(forward_demodulation,[],[f10355,f302]) ).
fof(f10355,plain,
( sum(sum(pred(n7),succ(sK1)),sum(pred(sK1),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(sK1),succ(sK1)))
| ~ spl2_30 ),
inference(backward_demodulation,[],[f346,f820]) ).
fof(f10343,plain,
( ~ spl2_3
| ~ spl2_27 ),
inference(avatar_contradiction_clause,[],[f10342]) ).
fof(f10342,plain,
( $false
| ~ spl2_3
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f10341]) ).
fof(f10341,plain,
( n6 != n6
| ~ spl2_3
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10340,f279]) ).
fof(f279,plain,
n6 = sum(n1,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f10340,plain,
( n6 != sum(n1,n5)
| ~ spl2_3
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10339,f419]) ).
fof(f10339,plain,
( sum(n1,n5) != sum(n3,n3)
| ~ spl2_3
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10338,f610]) ).
fof(f10338,plain,
( sum(n3,n3) != sum(n1,sum(n12,n14))
| ~ spl2_3
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10337,f342]) ).
fof(f10337,plain,
( sum(n1,sum(n12,n14)) != sum(sum(n10,n14),n3)
| ~ spl2_3
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10336,f502]) ).
fof(f10336,plain,
( sum(sum(n10,succ(n13)),n3) != sum(n1,sum(n12,succ(n13)))
| ~ spl2_3
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10335,f546]) ).
fof(f10335,plain,
( sum(n1,sum(n12,succ(n13))) != sum(sum(n10,succ(n13)),sum(n12,n12))
| ~ spl2_3
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10334,f225]) ).
fof(f10334,plain,
( sum(n1,sum(pred(n13),succ(n13))) != sum(sum(n10,succ(n13)),sum(pred(n13),n12))
| ~ spl2_3
| ~ spl2_27 ),
inference(backward_demodulation,[],[f10018,f711]) ).
fof(f10018,plain,
( sum(sum(n10,succ(sK1)),sum(pred(sK1),n12)) != sum(n1,sum(pred(sK1),succ(sK1)))
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10017,f21]) ).
fof(f10017,plain,
( sum(sum(n10,n12),sum(pred(sK1),succ(sK1))) != sum(sum(n10,succ(sK1)),sum(pred(sK1),n12))
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10016,f266]) ).
fof(f10016,plain,
( sum(sum(pred(n11),succ(sK1)),sum(pred(sK1),n12)) != sum(sum(pred(n11),n12),sum(pred(sK1),succ(sK1)))
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10006,f641]) ).
fof(f10006,plain,
( sum(sum(pred(n11),succ(n11)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n11),succ(sK1)),sum(pred(sK1),succ(n11)))
| ~ spl2_27 ),
inference(backward_demodulation,[],[f346,f808]) ).
fof(f808,plain,
( n11 = sK0
| ~ spl2_27 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f806,plain,
( spl2_27
<=> n11 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_27])]) ).
fof(f10320,plain,
( ~ spl2_1
| ~ spl2_27 ),
inference(avatar_contradiction_clause,[],[f10319]) ).
fof(f10319,plain,
( $false
| ~ spl2_1
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f10318]) ).
fof(f10318,plain,
( n7 != n7
| ~ spl2_1
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10317,f49]) ).
fof(f10317,plain,
( n7 != sum(n1,n6)
| ~ spl2_1
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10316,f243]) ).
fof(f10316,plain,
( sum(n1,n6) != sum(n14,n14)
| ~ spl2_1
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10315,f94]) ).
fof(f10315,plain,
( sum(n1,n6) != sum(sum(n10,n4),n14)
| ~ spl2_1
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10314,f533]) ).
fof(f10314,plain,
( sum(sum(n10,n4),n14) != sum(n1,sum(n2,n4))
| ~ spl2_1
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10313,f75]) ).
fof(f10313,plain,
( sum(n1,sum(n2,n4)) != sum(sum(n10,n4),sum(n2,n12))
| ~ spl2_1
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10312,f447]) ).
fof(f10312,plain,
( sum(sum(n10,succ(n3)),sum(n2,n12)) != sum(n1,sum(n2,succ(n3)))
| ~ spl2_1
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10311,f174]) ).
fof(f10311,plain,
( sum(n1,sum(pred(n3),succ(n3))) != sum(sum(n10,succ(n3)),sum(pred(n3),n12))
| ~ spl2_1
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10018,f703]) ).
fof(f10292,plain,
( ~ spl2_7
| ~ spl2_27 ),
inference(avatar_contradiction_clause,[],[f10291]) ).
fof(f10291,plain,
( $false
| ~ spl2_7
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f10290]) ).
fof(f10290,plain,
( n1 != n1
| ~ spl2_7
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10289,f448]) ).
fof(f448,plain,
n1 = sum(n1,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f10289,plain,
( n1 != sum(n1,n0)
| ~ spl2_7
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10288,f470]) ).
fof(f10288,plain,
( sum(n1,n0) != sum(n11,n11)
| ~ spl2_7
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10287,f134]) ).
fof(f10287,plain,
( sum(n1,n0) != sum(sum(n10,n1),n11)
| ~ spl2_7
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10286,f510]) ).
fof(f10286,plain,
( sum(sum(n10,n1),n11) != sum(n1,sum(n20,n1))
| ~ spl2_7
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10285,f192]) ).
fof(f10285,plain,
( sum(n1,sum(n20,succ(n0))) != sum(sum(n10,succ(n0)),n11)
| ~ spl2_7
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10284,f15]) ).
fof(f10284,plain,
( sum(n1,sum(n20,succ(n0))) != sum(sum(n10,succ(n0)),sum(n20,n12))
| ~ spl2_7
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10283,f358]) ).
fof(f10283,plain,
( sum(n1,sum(pred(n0),succ(n0))) != sum(sum(n10,succ(n0)),sum(pred(n0),n12))
| ~ spl2_7
| ~ spl2_27 ),
inference(backward_demodulation,[],[f10018,f727]) ).
fof(f10249,plain,
( ~ spl2_4
| ~ spl2_27 ),
inference(avatar_contradiction_clause,[],[f10248]) ).
fof(f10248,plain,
( $false
| ~ spl2_4
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f10247]) ).
fof(f10247,plain,
( n4 != n4
| ~ spl2_4
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10246,f141]) ).
fof(f10246,plain,
( n4 != sum(n1,n3)
| ~ spl2_4
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10245,f489]) ).
fof(f10245,plain,
( sum(n1,n3) != sum(n2,n2)
| ~ spl2_4
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10244,f125]) ).
fof(f10244,plain,
( sum(n2,n2) != sum(n1,sum(n11,n13))
| ~ spl2_4
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10243,f51]) ).
fof(f51,plain,
n2 = sum(n10,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f10243,plain,
( sum(n1,sum(n11,n13)) != sum(sum(n10,n13),n2)
| ~ spl2_4
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10242,f278]) ).
fof(f10242,plain,
( sum(n1,sum(n11,succ(n12))) != sum(sum(n10,succ(n12)),n2)
| ~ spl2_4
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10241,f417]) ).
fof(f417,plain,
n2 = sum(n11,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f10241,plain,
( sum(n1,sum(n11,succ(n12))) != sum(sum(n10,succ(n12)),sum(n11,n12))
| ~ spl2_4
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10240,f347]) ).
fof(f10240,plain,
( sum(n1,sum(pred(n12),succ(n12))) != sum(sum(n10,succ(n12)),sum(pred(n12),n12))
| ~ spl2_4
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10018,f715]) ).
fof(f10232,plain,
( ~ spl2_13
| ~ spl2_27 ),
inference(avatar_contradiction_clause,[],[f10231]) ).
fof(f10231,plain,
( $false
| ~ spl2_13
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f10230]) ).
fof(f10230,plain,
( n11 != n11
| ~ spl2_13
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10229,f396]) ).
fof(f396,plain,
n11 = sum(n1,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f10229,plain,
( n11 != sum(n1,n10)
| ~ spl2_13
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10228,f193]) ).
fof(f10228,plain,
( sum(n1,n10) != sum(n16,n16)
| ~ spl2_13
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10227,f105]) ).
fof(f10227,plain,
( sum(n1,n10) != sum(sum(n10,n6),n16)
| ~ spl2_13
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10226,f300]) ).
fof(f10226,plain,
( sum(n1,n10) != sum(sum(n10,n6),sum(n4,n12))
| ~ spl2_13
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10225,f464]) ).
fof(f10225,plain,
( sum(sum(n10,n6),sum(n4,n12)) != sum(n1,sum(n4,n6))
| ~ spl2_13
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10224,f692]) ).
fof(f10224,plain,
( sum(sum(n10,succ(n5)),sum(n4,n12)) != sum(n1,sum(n4,succ(n5)))
| ~ spl2_13
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10223,f126]) ).
fof(f10223,plain,
( sum(n1,sum(pred(n5),succ(n5))) != sum(sum(n10,succ(n5)),sum(pred(n5),n12))
| ~ spl2_13
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10018,f751]) ).
fof(f10192,plain,
( ~ spl2_11
| ~ spl2_27 ),
inference(avatar_contradiction_clause,[],[f10191]) ).
fof(f10191,plain,
( $false
| ~ spl2_11
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f10190]) ).
fof(f10190,plain,
( n12 != n12
| ~ spl2_11
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10189,f540]) ).
fof(f10189,plain,
( n12 != sum(n1,n11)
| ~ spl2_11
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10188,f316]) ).
fof(f10188,plain,
( sum(n1,n11) != sum(n6,n6)
| ~ spl2_11
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10187,f459]) ).
fof(f10187,plain,
( sum(n1,n11) != sum(sum(n10,n17),n6)
| ~ spl2_11
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10186,f383]) ).
fof(f10186,plain,
( sum(sum(n10,n17),n6) != sum(n1,sum(n15,n17))
| ~ spl2_11
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10185,f233]) ).
fof(f10185,plain,
( sum(sum(n10,succ(n16)),n6) != sum(n1,sum(n15,succ(n16)))
| ~ spl2_11
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10184,f222]) ).
fof(f10184,plain,
( sum(n1,sum(n15,succ(n16))) != sum(sum(n10,succ(n16)),sum(n15,n12))
| ~ spl2_11
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10183,f418]) ).
fof(f10183,plain,
( sum(n1,sum(pred(n16),succ(n16))) != sum(sum(n10,succ(n16)),sum(pred(n16),n12))
| ~ spl2_11
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10018,f743]) ).
fof(f10162,plain,
( ~ spl2_10
| ~ spl2_27 ),
inference(avatar_contradiction_clause,[],[f10161]) ).
fof(f10161,plain,
( $false
| ~ spl2_10
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f10160]) ).
fof(f10160,plain,
( n0 != n0
| ~ spl2_10
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10159,f296]) ).
fof(f10159,plain,
( n0 != sum(n0,n0)
| ~ spl2_10
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10158,f207]) ).
fof(f10158,plain,
( sum(n0,n0) != sum(n1,n20)
| ~ spl2_10
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10157,f406]) ).
fof(f10157,plain,
( sum(n1,n20) != sum(sum(n10,n11),n0)
| ~ spl2_10
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10156,f16]) ).
fof(f10156,plain,
( sum(sum(n10,n11),n0) != sum(n1,sum(n9,n11))
| ~ spl2_10
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10155,f114]) ).
fof(f10155,plain,
( sum(sum(n10,succ(n10)),n0) != sum(n1,sum(n9,succ(n10)))
| ~ spl2_10
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10154,f25]) ).
fof(f10154,plain,
( sum(n1,sum(n9,succ(n10))) != sum(sum(n10,succ(n10)),sum(n9,n12))
| ~ spl2_10
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10153,f693]) ).
fof(f10153,plain,
( sum(n1,sum(pred(n10),succ(n10))) != sum(sum(n10,succ(n10)),sum(pred(n10),n12))
| ~ spl2_10
| ~ spl2_27 ),
inference(backward_demodulation,[],[f10018,f739]) ).
fof(f10141,plain,
( ~ spl2_6
| ~ spl2_27 ),
inference(avatar_contradiction_clause,[],[f10140]) ).
fof(f10140,plain,
( $false
| ~ spl2_6
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f10139]) ).
fof(f10139,plain,
( sum(n1,n1) != sum(n1,n1)
| ~ spl2_6
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10138,f21]) ).
fof(f10138,plain,
( sum(sum(n10,n12),sum(n10,n12)) != sum(n1,sum(n10,n12))
| ~ spl2_6
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10137,f266]) ).
fof(f10137,plain,
( sum(n1,sum(pred(n11),n12)) != sum(sum(n10,n12),sum(pred(n11),n12))
| ~ spl2_6
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10136,f641]) ).
fof(f10136,plain,
( sum(sum(n10,succ(n11)),sum(pred(n11),n12)) != sum(n1,sum(pred(n11),succ(n11)))
| ~ spl2_6
| ~ spl2_27 ),
inference(backward_demodulation,[],[f10018,f723]) ).
fof(f10118,plain,
( ~ spl2_12
| ~ spl2_27 ),
inference(avatar_contradiction_clause,[],[f10117]) ).
fof(f10117,plain,
( $false
| ~ spl2_12
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f10116]) ).
fof(f10116,plain,
( n18 != n18
| ~ spl2_12
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10115,f463]) ).
fof(f10115,plain,
( n18 != sum(n1,n17)
| ~ spl2_12
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10114,f357]) ).
fof(f10114,plain,
( sum(n1,n17) != sum(n9,n9)
| ~ spl2_12
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10113,f11]) ).
fof(f10113,plain,
( sum(n1,n17) != sum(sum(n10,n20),n9)
| ~ spl2_12
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10112,f153]) ).
fof(f10112,plain,
( sum(sum(n10,n20),n9) != sum(n1,sum(n18,n20))
| ~ spl2_12
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10111,f508]) ).
fof(f10111,plain,
( sum(n1,sum(n18,succ(n19))) != sum(sum(n10,succ(n19)),n9)
| ~ spl2_12
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10110,f601]) ).
fof(f10110,plain,
( sum(n1,sum(n18,succ(n19))) != sum(sum(n10,succ(n19)),sum(n18,n12))
| ~ spl2_12
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10109,f350]) ).
fof(f10109,plain,
( sum(n1,sum(pred(n19),succ(n19))) != sum(sum(n10,succ(n19)),sum(pred(n19),n12))
| ~ spl2_12
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10018,f747]) ).
fof(f10085,plain,
( ~ spl2_14
| ~ spl2_27 ),
inference(avatar_contradiction_clause,[],[f10084]) ).
fof(f10084,plain,
( $false
| ~ spl2_14
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f10083]) ).
fof(f10083,plain,
( n13 != n13
| ~ spl2_14
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10082,f523]) ).
fof(f10082,plain,
( n13 != sum(n1,n12)
| ~ spl2_14
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10081,f106]) ).
fof(f10081,plain,
( sum(n1,n12) != sum(n17,n17)
| ~ spl2_14
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10080,f308]) ).
fof(f10080,plain,
( sum(n1,n12) != sum(sum(n10,n7),n17)
| ~ spl2_14
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10079,f79]) ).
fof(f10079,plain,
( sum(n1,n12) != sum(sum(n10,n7),sum(n5,n12))
| ~ spl2_14
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10078,f511]) ).
fof(f10078,plain,
( sum(sum(n10,n7),sum(n5,n12)) != sum(n1,sum(n5,n7))
| ~ spl2_14
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10077,f530]) ).
fof(f10077,plain,
( sum(n1,sum(pred(n6),n7)) != sum(sum(n10,n7),sum(pred(n6),n12))
| ~ spl2_14
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10076,f457]) ).
fof(f10076,plain,
( sum(sum(n10,succ(n6)),sum(pred(n6),n12)) != sum(n1,sum(pred(n6),succ(n6)))
| ~ spl2_14
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10018,f755]) ).
fof(f10043,plain,
( ~ spl2_5
| ~ spl2_27 ),
inference(avatar_contradiction_clause,[],[f10042]) ).
fof(f10042,plain,
( $false
| ~ spl2_5
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f10041]) ).
fof(f10041,plain,
( n15 != n15
| ~ spl2_5
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10040,f695]) ).
fof(f10040,plain,
( n15 != sum(n1,n14)
| ~ spl2_5
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10039,f679]) ).
fof(f10039,plain,
( sum(n1,n14) != sum(n18,n18)
| ~ spl2_5
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10038,f496]) ).
fof(f10038,plain,
( sum(n18,n18) != sum(n1,sum(n6,n8))
| ~ spl2_5
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10037,f197]) ).
fof(f10037,plain,
( sum(n1,sum(n6,n8)) != sum(sum(n10,n8),n18)
| ~ spl2_5
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10036,f320]) ).
fof(f10036,plain,
( sum(n1,sum(n6,n8)) != sum(sum(n10,n8),sum(n6,n12))
| ~ spl2_5
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10035,f519]) ).
fof(f10035,plain,
( sum(sum(n10,n8),sum(pred(n7),n12)) != sum(n1,sum(pred(n7),n8))
| ~ spl2_5
| ~ spl2_27 ),
inference(forward_demodulation,[],[f10034,f302]) ).
fof(f10034,plain,
( sum(sum(n10,succ(n7)),sum(pred(n7),n12)) != sum(n1,sum(pred(n7),succ(n7)))
| ~ spl2_5
| ~ spl2_27 ),
inference(backward_demodulation,[],[f10018,f719]) ).
fof(f9991,plain,
( ~ spl2_9
| ~ spl2_36 ),
inference(avatar_contradiction_clause,[],[f9990]) ).
fof(f9990,plain,
( $false
| ~ spl2_9
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f9989]) ).
fof(f9989,plain,
( n13 != n13
| ~ spl2_9
| ~ spl2_36 ),
inference(forward_demodulation,[],[f9988,f106]) ).
fof(f9988,plain,
( n13 != sum(n17,n17)
| ~ spl2_9
| ~ spl2_36 ),
inference(forward_demodulation,[],[f9987,f385]) ).
fof(f9987,plain,
( sum(n17,n17) != sum(n18,n16)
| ~ spl2_9
| ~ spl2_36 ),
inference(forward_demodulation,[],[f9986,f391]) ).
fof(f9986,plain,
( sum(n17,n17) != sum(sum(n8,n10),n16)
| ~ spl2_9
| ~ spl2_36 ),
inference(forward_demodulation,[],[f9985,f637]) ).
fof(f637,plain,
n17 = sum(n8,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f9985,plain,
( sum(sum(n8,n10),n16) != sum(sum(n8,n9),n17)
| ~ spl2_9
| ~ spl2_36 ),
inference(forward_demodulation,[],[f9984,f333]) ).
fof(f9984,plain,
( sum(sum(pred(n9),n10),n16) != sum(sum(pred(n9),n9),n17)
| ~ spl2_9
| ~ spl2_36 ),
inference(forward_demodulation,[],[f9983,f621]) ).
fof(f621,plain,
n17 = sum(n7,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f9983,plain,
( sum(sum(pred(n9),n10),n16) != sum(sum(pred(n9),n9),sum(n7,n10))
| ~ spl2_9
| ~ spl2_36 ),
inference(forward_demodulation,[],[f9982,f699]) ).
fof(f9982,plain,
( sum(sum(pred(n9),n9),sum(n7,succ(n9))) != sum(sum(pred(n9),succ(n9)),n16)
| ~ spl2_9
| ~ spl2_36 ),
inference(forward_demodulation,[],[f9681,f844]) ).
fof(f9681,plain,
( sum(sum(pred(sK0),succ(sK0)),n16) != sum(sum(pred(sK0),n9),sum(n7,succ(sK0)))
| ~ spl2_9 ),
inference(forward_demodulation,[],[f9680,f648]) ).
fof(f648,plain,
n16 = sum(n7,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f9680,plain,
( sum(sum(pred(sK0),n9),sum(n7,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n7,n9))
| ~ spl2_9 ),
inference(forward_demodulation,[],[f9679,f474]) ).
fof(f474,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f3]) ).
fof(f9679,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(n7,succ(n8))) != sum(sum(pred(sK0),succ(n8)),sum(n7,succ(sK0)))
| ~ spl2_9 ),
inference(forward_demodulation,[],[f9678,f607]) ).
fof(f607,plain,
n7 = pred(n8),
inference(cnf_transformation,[],[f3]) ).
fof(f9678,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n8),succ(n8))) != sum(sum(pred(sK0),succ(n8)),sum(pred(n8),succ(sK0)))
| ~ spl2_9 ),
inference(forward_demodulation,[],[f346,f735]) ).
fof(f735,plain,
( n8 = sK1
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f733,plain,
( spl2_9
<=> n8 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
fof(f9961,plain,
( ~ spl2_9
| ~ spl2_27 ),
inference(avatar_contradiction_clause,[],[f9960]) ).
fof(f9960,plain,
( $false
| ~ spl2_9
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f9959]) ).
fof(f9959,plain,
( n17 != n17
| ~ spl2_9
| ~ spl2_27 ),
inference(forward_demodulation,[],[f9958,f322]) ).
fof(f322,plain,
n17 = sum(n1,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f9958,plain,
( n17 != sum(n1,n16)
| ~ spl2_9
| ~ spl2_27 ),
inference(forward_demodulation,[],[f9957,f210]) ).
fof(f9957,plain,
( sum(n1,n16) != sum(n19,n19)
| ~ spl2_9
| ~ spl2_27 ),
inference(forward_demodulation,[],[f9956,f558]) ).
fof(f558,plain,
n19 = sum(n10,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f9956,plain,
( sum(n1,n16) != sum(sum(n10,n9),n19)
| ~ spl2_9
| ~ spl2_27 ),
inference(forward_demodulation,[],[f9955,f287]) ).
fof(f287,plain,
n19 = sum(n7,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f9955,plain,
( sum(n1,n16) != sum(sum(n10,n9),sum(n7,n12))
| ~ spl2_9
| ~ spl2_27 ),
inference(forward_demodulation,[],[f9954,f21]) ).
fof(f9954,plain,
( sum(sum(n10,n9),sum(n7,n12)) != sum(sum(n10,n12),n16)
| ~ spl2_9
| ~ spl2_27 ),
inference(forward_demodulation,[],[f9953,f266]) ).
fof(f9953,plain,
( sum(sum(pred(n11),n9),sum(n7,n12)) != sum(sum(pred(n11),n12),n16)
| ~ spl2_9
| ~ spl2_27 ),
inference(forward_demodulation,[],[f9952,f641]) ).
fof(f9952,plain,
( sum(sum(pred(n11),n9),sum(n7,succ(n11))) != sum(sum(pred(n11),succ(n11)),n16)
| ~ spl2_9
| ~ spl2_27 ),
inference(forward_demodulation,[],[f9681,f808]) ).
fof(f9941,plain,
( ~ spl2_9
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f9940]) ).
fof(f9940,plain,
( $false
| ~ spl2_9
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f9939]) ).
fof(f9939,plain,
( n7 != n7
| ~ spl2_9
| ~ spl2_28 ),
inference(forward_demodulation,[],[f9938,f90]) ).
fof(f9938,plain,
( n7 != sum(n12,n16)
| ~ spl2_9
| ~ spl2_28 ),
inference(forward_demodulation,[],[f9937,f243]) ).
fof(f9937,plain,
( sum(n12,n16) != sum(n14,n14)
| ~ spl2_9
| ~ spl2_28 ),
inference(forward_demodulation,[],[f9936,f511]) ).
fof(f9936,plain,
( sum(n14,n14) != sum(sum(n5,n7),n16)
| ~ spl2_9
| ~ spl2_28 ),
inference(forward_demodulation,[],[f9935,f557]) ).
fof(f557,plain,
n14 = sum(n5,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f9935,plain,
( sum(sum(n5,n7),n16) != sum(sum(n5,n9),n14)
| ~ spl2_9
| ~ spl2_28 ),
inference(forward_demodulation,[],[f9934,f530]) ).
fof(f9934,plain,
( sum(sum(pred(n6),n9),n14) != sum(sum(pred(n6),n7),n16)
| ~ spl2_9
| ~ spl2_28 ),
inference(forward_demodulation,[],[f9933,f395]) ).
fof(f9933,plain,
( sum(sum(pred(n6),n7),n16) != sum(sum(pred(n6),n9),sum(n7,n7))
| ~ spl2_9
| ~ spl2_28 ),
inference(forward_demodulation,[],[f9932,f457]) ).
fof(f9932,plain,
( sum(sum(pred(n6),succ(n6)),n16) != sum(sum(pred(n6),n9),sum(n7,succ(n6)))
| ~ spl2_9
| ~ spl2_28 ),
inference(backward_demodulation,[],[f9681,f812]) ).
fof(f9901,plain,
( ~ spl2_9
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f9900]) ).
fof(f9900,plain,
( $false
| ~ spl2_9
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f9899]) ).
fof(f9899,plain,
( n15 != n15
| ~ spl2_9
| ~ spl2_42 ),
inference(forward_demodulation,[],[f9898,f679]) ).
fof(f9898,plain,
( n15 != sum(n18,n18)
| ~ spl2_9
| ~ spl2_42 ),
inference(forward_demodulation,[],[f9897,f404]) ).
fof(f9897,plain,
( sum(n18,n18) != sum(n20,n16)
| ~ spl2_9
| ~ spl2_42 ),
inference(forward_demodulation,[],[f9896,f16]) ).
fof(f9896,plain,
( sum(n18,n18) != sum(sum(n9,n11),n16)
| ~ spl2_9
| ~ spl2_42 ),
inference(forward_demodulation,[],[f9895,f357]) ).
fof(f9895,plain,
( sum(sum(n9,n11),n16) != sum(sum(n9,n9),n18)
| ~ spl2_9
| ~ spl2_42 ),
inference(forward_demodulation,[],[f9894,f19]) ).
fof(f19,plain,
n18 = sum(n7,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f9894,plain,
( sum(sum(n9,n11),n16) != sum(sum(n9,n9),sum(n7,n11))
| ~ spl2_9
| ~ spl2_42 ),
inference(forward_demodulation,[],[f9893,f693]) ).
fof(f9893,plain,
( sum(sum(pred(n10),n9),sum(n7,n11)) != sum(sum(pred(n10),n11),n16)
| ~ spl2_9
| ~ spl2_42 ),
inference(forward_demodulation,[],[f9892,f114]) ).
fof(f9892,plain,
( sum(sum(pred(n10),n9),sum(n7,succ(n10))) != sum(sum(pred(n10),succ(n10)),n16)
| ~ spl2_9
| ~ spl2_42 ),
inference(forward_demodulation,[],[f9681,f868]) ).
fof(f9883,plain,
( ~ spl2_9
| ~ spl2_34 ),
inference(avatar_contradiction_clause,[],[f9882]) ).
fof(f9882,plain,
( $false
| ~ spl2_9
| ~ spl2_34 ),
inference(trivial_inequality_removal,[],[f9881]) ).
fof(f9881,plain,
( n16 != n16
| ~ spl2_9
| ~ spl2_34 ),
inference(forward_demodulation,[],[f9880,f471]) ).
fof(f471,plain,
n16 = sum(n0,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f9880,plain,
( n16 != sum(n0,n16)
| ~ spl2_9
| ~ spl2_34 ),
inference(forward_demodulation,[],[f9879,f177]) ).
fof(f9879,plain,
( sum(n0,n16) != sum(n8,n8)
| ~ spl2_9
| ~ spl2_34 ),
inference(forward_demodulation,[],[f9878,f70]) ).
fof(f70,plain,
n8 = sum(n20,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f9878,plain,
( sum(n0,n16) != sum(sum(n20,n9),n8)
| ~ spl2_9
| ~ spl2_34 ),
inference(forward_demodulation,[],[f9877,f483]) ).
fof(f483,plain,
n8 = sum(n7,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f9877,plain,
( sum(n0,n16) != sum(sum(n20,n9),sum(n7,n1))
| ~ spl2_9
| ~ spl2_34 ),
inference(forward_demodulation,[],[f9876,f510]) ).
fof(f9876,plain,
( sum(sum(n20,n9),sum(n7,n1)) != sum(sum(n20,n1),n16)
| ~ spl2_9
| ~ spl2_34 ),
inference(forward_demodulation,[],[f9875,f358]) ).
fof(f9875,plain,
( sum(sum(pred(n0),n9),sum(n7,n1)) != sum(sum(pred(n0),n1),n16)
| ~ spl2_9
| ~ spl2_34 ),
inference(forward_demodulation,[],[f9874,f192]) ).
fof(f9874,plain,
( sum(sum(pred(n0),n9),sum(n7,succ(n0))) != sum(sum(pred(n0),succ(n0)),n16)
| ~ spl2_9
| ~ spl2_34 ),
inference(forward_demodulation,[],[f9681,f836]) ).
fof(f9855,plain,
( ~ spl2_9
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f9854]) ).
fof(f9854,plain,
( $false
| ~ spl2_9
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f9853]) ).
fof(f9853,plain,
( n1 != n1
| ~ spl2_9
| ~ spl2_29 ),
inference(forward_demodulation,[],[f9852,f39]) ).
fof(f9852,plain,
( n1 != sum(n6,n16)
| ~ spl2_9
| ~ spl2_29 ),
inference(forward_demodulation,[],[f9851,f470]) ).
fof(f9851,plain,
( sum(n6,n16) != sum(n11,n11)
| ~ spl2_9
| ~ spl2_29 ),
inference(forward_demodulation,[],[f9850,f250]) ).
fof(f250,plain,
n11 = sum(n2,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f9850,plain,
( sum(n6,n16) != sum(sum(n2,n9),n11)
| ~ spl2_9
| ~ spl2_29 ),
inference(forward_demodulation,[],[f9849,f101]) ).
fof(f101,plain,
n11 = sum(n7,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f9849,plain,
( sum(n6,n16) != sum(sum(n2,n9),sum(n7,n4))
| ~ spl2_9
| ~ spl2_29 ),
inference(forward_demodulation,[],[f9848,f533]) ).
fof(f9848,plain,
( sum(sum(n2,n9),sum(n7,n4)) != sum(sum(n2,n4),n16)
| ~ spl2_9
| ~ spl2_29 ),
inference(forward_demodulation,[],[f9847,f174]) ).
fof(f9847,plain,
( sum(sum(pred(n3),n9),sum(n7,n4)) != sum(sum(pred(n3),n4),n16)
| ~ spl2_9
| ~ spl2_29 ),
inference(forward_demodulation,[],[f9846,f447]) ).
fof(f9846,plain,
( sum(sum(pred(n3),succ(n3)),n16) != sum(sum(pred(n3),n9),sum(n7,succ(n3)))
| ~ spl2_9
| ~ spl2_29 ),
inference(backward_demodulation,[],[f9681,f816]) ).
fof(f9813,plain,
( ~ spl2_9
| ~ spl2_38 ),
inference(avatar_contradiction_clause,[],[f9812]) ).
fof(f9812,plain,
( $false
| ~ spl2_9
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f9811]) ).
fof(f9811,plain,
( n18 != n18
| ~ spl2_9
| ~ spl2_38 ),
inference(forward_demodulation,[],[f9810,f35]) ).
fof(f9810,plain,
( n18 != sum(n2,n16)
| ~ spl2_9
| ~ spl2_38 ),
inference(forward_demodulation,[],[f9809,f357]) ).
fof(f9809,plain,
( sum(n2,n16) != sum(n9,n9)
| ~ spl2_9
| ~ spl2_38 ),
inference(forward_demodulation,[],[f9808,f14]) ).
fof(f14,plain,
n9 = sum(n0,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f9808,plain,
( sum(n2,n16) != sum(sum(n0,n9),n9)
| ~ spl2_9
| ~ spl2_38 ),
inference(forward_demodulation,[],[f9807,f228]) ).
fof(f228,plain,
n9 = sum(n7,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f9807,plain,
( sum(n2,n16) != sum(sum(n0,n9),sum(n7,n2))
| ~ spl2_9
| ~ spl2_38 ),
inference(forward_demodulation,[],[f9806,f190]) ).
fof(f9806,plain,
( sum(sum(n0,n9),sum(n7,n2)) != sum(sum(n0,n2),n16)
| ~ spl2_9
| ~ spl2_38 ),
inference(forward_demodulation,[],[f9805,f598]) ).
fof(f9805,plain,
( sum(sum(pred(n1),n9),sum(n7,n2)) != sum(sum(pred(n1),n2),n16)
| ~ spl2_9
| ~ spl2_38 ),
inference(forward_demodulation,[],[f9804,f677]) ).
fof(f9804,plain,
( sum(sum(pred(n1),succ(n1)),n16) != sum(sum(pred(n1),n9),sum(n7,succ(n1)))
| ~ spl2_9
| ~ spl2_38 ),
inference(forward_demodulation,[],[f9681,f852]) ).
fof(f9788,plain,
( ~ spl2_9
| ~ spl2_40 ),
inference(avatar_contradiction_clause,[],[f9787]) ).
fof(f9787,plain,
( $false
| ~ spl2_9
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f9786]) ).
fof(f9786,plain,
( n10 != n10
| ~ spl2_9
| ~ spl2_40 ),
inference(forward_demodulation,[],[f9785,f230]) ).
fof(f9785,plain,
( n10 != sum(n5,n5)
| ~ spl2_9
| ~ spl2_40 ),
inference(forward_demodulation,[],[f9784,f138]) ).
fof(f9784,plain,
( sum(n5,n5) != sum(n15,n16)
| ~ spl2_9
| ~ spl2_40 ),
inference(forward_demodulation,[],[f9783,f402]) ).
fof(f9783,plain,
( sum(n5,n5) != sum(sum(n17,n19),n16)
| ~ spl2_9
| ~ spl2_40 ),
inference(forward_demodulation,[],[f9782,f582]) ).
fof(f582,plain,
n5 = sum(n17,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f9782,plain,
( sum(sum(n17,n19),n16) != sum(sum(n17,n9),n5)
| ~ spl2_9
| ~ spl2_40 ),
inference(forward_demodulation,[],[f9781,f651]) ).
fof(f9781,plain,
( sum(sum(pred(n18),n19),n16) != sum(sum(pred(n18),n9),n5)
| ~ spl2_9
| ~ spl2_40 ),
inference(forward_demodulation,[],[f9780,f380]) ).
fof(f380,plain,
n5 = sum(n7,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f9780,plain,
( sum(sum(pred(n18),n19),n16) != sum(sum(pred(n18),n9),sum(n7,n19))
| ~ spl2_9
| ~ spl2_40 ),
inference(forward_demodulation,[],[f9779,f40]) ).
fof(f9779,plain,
( sum(sum(pred(n18),n9),sum(n7,succ(n18))) != sum(sum(pred(n18),succ(n18)),n16)
| ~ spl2_9
| ~ spl2_40 ),
inference(forward_demodulation,[],[f9681,f860]) ).
fof(f9756,plain,
( ~ spl2_9
| ~ spl2_25 ),
inference(avatar_contradiction_clause,[],[f9755]) ).
fof(f9755,plain,
( $false
| ~ spl2_9
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f9754]) ).
fof(f9754,plain,
( n4 != n4
| ~ spl2_9
| ~ spl2_25 ),
inference(forward_demodulation,[],[f9753,f489]) ).
fof(f9753,plain,
( n4 != sum(n2,n2)
| ~ spl2_9
| ~ spl2_25 ),
inference(forward_demodulation,[],[f9752,f566]) ).
fof(f9752,plain,
( sum(n2,n2) != sum(n9,n16)
| ~ spl2_9
| ~ spl2_25 ),
inference(forward_demodulation,[],[f9751,f574]) ).
fof(f574,plain,
n2 = sum(n14,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f9751,plain,
( sum(n9,n16) != sum(sum(n14,n9),n2)
| ~ spl2_9
| ~ spl2_25 ),
inference(forward_demodulation,[],[f9750,f186]) ).
fof(f186,plain,
n2 = sum(n7,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f9750,plain,
( sum(n9,n16) != sum(sum(n14,n9),sum(n7,n16))
| ~ spl2_9
| ~ spl2_25 ),
inference(forward_demodulation,[],[f9749,f486]) ).
fof(f9749,plain,
( sum(sum(n14,n9),sum(n7,n16)) != sum(sum(n14,n16),n16)
| ~ spl2_9
| ~ spl2_25 ),
inference(forward_demodulation,[],[f9748,f562]) ).
fof(f9748,plain,
( sum(sum(pred(n15),n9),sum(n7,n16)) != sum(sum(pred(n15),n16),n16)
| ~ spl2_9
| ~ spl2_25 ),
inference(forward_demodulation,[],[f9747,f37]) ).
fof(f9747,plain,
( sum(sum(pred(n15),succ(n15)),n16) != sum(sum(pred(n15),n9),sum(n7,succ(n15)))
| ~ spl2_9
| ~ spl2_25 ),
inference(forward_demodulation,[],[f9681,f800]) ).
fof(f9728,plain,
( ~ spl2_9
| ~ spl2_23 ),
inference(avatar_contradiction_clause,[],[f9727]) ).
fof(f9727,plain,
( $false
| ~ spl2_9
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f9726]) ).
fof(f9726,plain,
( n20 != n20
| ~ spl2_9
| ~ spl2_23 ),
inference(forward_demodulation,[],[f9725,f211]) ).
fof(f9725,plain,
( n20 != sum(n4,n16)
| ~ spl2_9
| ~ spl2_23 ),
inference(forward_demodulation,[],[f9724,f324]) ).
fof(f9724,plain,
( sum(n4,n16) != sum(n10,n10)
| ~ spl2_9
| ~ spl2_23 ),
inference(forward_demodulation,[],[f9723,f384]) ).
fof(f384,plain,
n10 = sum(n1,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f9723,plain,
( sum(n4,n16) != sum(sum(n1,n9),n10)
| ~ spl2_9
| ~ spl2_23 ),
inference(forward_demodulation,[],[f9722,f570]) ).
fof(f570,plain,
n10 = sum(n7,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f9722,plain,
( sum(n4,n16) != sum(sum(n1,n9),sum(n7,n3))
| ~ spl2_9
| ~ spl2_23 ),
inference(forward_demodulation,[],[f9721,f141]) ).
fof(f9721,plain,
( sum(sum(n1,n9),sum(n7,n3)) != sum(sum(n1,n3),n16)
| ~ spl2_9
| ~ spl2_23 ),
inference(forward_demodulation,[],[f9720,f231]) ).
fof(f9720,plain,
( sum(sum(pred(n2),n9),sum(n7,n3)) != sum(sum(pred(n2),n3),n16)
| ~ spl2_9
| ~ spl2_23 ),
inference(forward_demodulation,[],[f9719,f184]) ).
fof(f9719,plain,
( sum(sum(pred(n2),n9),sum(n7,succ(n2))) != sum(sum(pred(n2),succ(n2)),n16)
| ~ spl2_9
| ~ spl2_23 ),
inference(forward_demodulation,[],[f9681,f792]) ).
fof(f9701,plain,
( ~ spl2_9
| ~ spl2_32 ),
inference(avatar_contradiction_clause,[],[f9700]) ).
fof(f9700,plain,
( $false
| ~ spl2_9
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f9699]) ).
fof(f9699,plain,
( n5 != n5
| ~ spl2_9
| ~ spl2_32 ),
inference(forward_demodulation,[],[f9698,f361]) ).
fof(f9698,plain,
( n5 != sum(n10,n16)
| ~ spl2_9
| ~ spl2_32 ),
inference(forward_demodulation,[],[f9697,f66]) ).
fof(f9697,plain,
( sum(n10,n16) != sum(n13,n13)
| ~ spl2_9
| ~ spl2_32 ),
inference(forward_demodulation,[],[f9696,f421]) ).
fof(f421,plain,
n13 = sum(n4,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f9696,plain,
( sum(n10,n16) != sum(sum(n4,n9),n13)
| ~ spl2_9
| ~ spl2_32 ),
inference(forward_demodulation,[],[f9695,f619]) ).
fof(f619,plain,
n13 = sum(n7,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f9695,plain,
( sum(n10,n16) != sum(sum(n4,n9),sum(n7,n6))
| ~ spl2_9
| ~ spl2_32 ),
inference(forward_demodulation,[],[f9694,f464]) ).
fof(f9694,plain,
( sum(sum(n4,n9),sum(n7,n6)) != sum(sum(n4,n6),n16)
| ~ spl2_9
| ~ spl2_32 ),
inference(forward_demodulation,[],[f9693,f126]) ).
fof(f9693,plain,
( sum(sum(pred(n5),n9),sum(n7,n6)) != sum(sum(pred(n5),n6),n16)
| ~ spl2_9
| ~ spl2_32 ),
inference(forward_demodulation,[],[f9692,f692]) ).
fof(f9692,plain,
( sum(sum(pred(n5),succ(n5)),n16) != sum(sum(pred(n5),n9),sum(n7,succ(n5)))
| ~ spl2_9
| ~ spl2_32 ),
inference(backward_demodulation,[],[f9681,f828]) ).
fof(f9666,plain,
( ~ spl2_9
| ~ spl2_30 ),
inference(avatar_contradiction_clause,[],[f9665]) ).
fof(f9665,plain,
( $false
| ~ spl2_9
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f9664]) ).
fof(f9664,plain,
( n9 != n9
| ~ spl2_9
| ~ spl2_30 ),
inference(forward_demodulation,[],[f9663,f486]) ).
fof(f9663,plain,
( n9 != sum(n14,n16)
| ~ spl2_9
| ~ spl2_30 ),
inference(forward_demodulation,[],[f9662,f318]) ).
fof(f9662,plain,
( sum(n14,n16) != sum(n15,n15)
| ~ spl2_9
| ~ spl2_30 ),
inference(forward_demodulation,[],[f9661,f479]) ).
fof(f479,plain,
n15 = sum(n6,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f9661,plain,
( sum(n14,n16) != sum(sum(n6,n9),n15)
| ~ spl2_9
| ~ spl2_30 ),
inference(forward_demodulation,[],[f9660,f473]) ).
fof(f473,plain,
n15 = sum(n7,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f9660,plain,
( sum(n14,n16) != sum(sum(n6,n9),sum(n7,n8))
| ~ spl2_9
| ~ spl2_30 ),
inference(forward_demodulation,[],[f9659,f648]) ).
fof(f9659,plain,
( sum(sum(n6,n9),sum(n7,n8)) != sum(n14,sum(n7,n9))
| ~ spl2_9
| ~ spl2_30 ),
inference(forward_demodulation,[],[f9658,f474]) ).
fof(f9658,plain,
( sum(sum(n6,succ(n8)),sum(n7,n8)) != sum(n14,sum(n7,succ(n8)))
| ~ spl2_9
| ~ spl2_30 ),
inference(forward_demodulation,[],[f9657,f607]) ).
fof(f9657,plain,
( sum(n14,sum(pred(n8),succ(n8))) != sum(sum(n6,succ(n8)),sum(pred(n8),n8))
| ~ spl2_9
| ~ spl2_30 ),
inference(backward_demodulation,[],[f9642,f735]) ).
fof(f9642,plain,
( sum(n14,sum(pred(sK1),succ(sK1))) != sum(sum(n6,succ(sK1)),sum(pred(sK1),n8))
| ~ spl2_30 ),
inference(forward_demodulation,[],[f9641,f496]) ).
fof(f9641,plain,
( sum(sum(n6,succ(sK1)),sum(pred(sK1),n8)) != sum(sum(n6,n8),sum(pred(sK1),succ(sK1)))
| ~ spl2_30 ),
inference(forward_demodulation,[],[f9640,f519]) ).
fof(f9640,plain,
( sum(sum(pred(n7),succ(sK1)),sum(pred(sK1),n8)) != sum(sum(pred(n7),n8),sum(pred(sK1),succ(sK1)))
| ~ spl2_30 ),
inference(forward_demodulation,[],[f9639,f302]) ).
fof(f9639,plain,
( sum(sum(pred(n7),succ(sK1)),sum(pred(sK1),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(sK1),succ(sK1)))
| ~ spl2_30 ),
inference(forward_demodulation,[],[f346,f820]) ).
fof(f9625,plain,
( ~ spl2_5
| ~ spl2_26 ),
inference(avatar_contradiction_clause,[],[f9624]) ).
fof(f9624,plain,
( $false
| ~ spl2_5
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f9623]) ).
fof(f9623,plain,
( n12 != n12
| ~ spl2_5
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9622,f316]) ).
fof(f9622,plain,
( n12 != sum(n6,n6)
| ~ spl2_5
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9621,f630]) ).
fof(f630,plain,
n12 = sum(n19,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f9621,plain,
( sum(n6,n6) != sum(n19,n14)
| ~ spl2_5
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9620,f127]) ).
fof(f127,plain,
n6 = sum(n19,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f9620,plain,
( sum(n19,n14) != sum(sum(n19,n8),n6)
| ~ spl2_5
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9619,f653]) ).
fof(f9619,plain,
( sum(n19,n14) != sum(sum(n19,n8),sum(n6,n0))
| ~ spl2_5
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9618,f496]) ).
fof(f9618,plain,
( sum(sum(n19,n8),sum(n6,n0)) != sum(n19,sum(n6,n8))
| ~ spl2_5
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9617,f519]) ).
fof(f9617,plain,
( sum(n19,sum(pred(n7),n8)) != sum(sum(n19,n8),sum(pred(n7),n0))
| ~ spl2_5
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9616,f302]) ).
fof(f9616,plain,
( sum(sum(n19,succ(n7)),sum(pred(n7),n0)) != sum(n19,sum(pred(n7),succ(n7)))
| ~ spl2_5
| ~ spl2_26 ),
inference(backward_demodulation,[],[f9297,f719]) ).
fof(f9297,plain,
( sum(n19,sum(pred(sK1),succ(sK1))) != sum(sum(n19,succ(sK1)),sum(pred(sK1),n0))
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9296,f323]) ).
fof(f323,plain,
n19 = sum(n19,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f9296,plain,
( sum(sum(n19,succ(sK1)),sum(pred(sK1),n0)) != sum(sum(n19,n0),sum(pred(sK1),succ(sK1)))
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9295,f214]) ).
fof(f214,plain,
n19 = pred(n20),
inference(cnf_transformation,[],[f3]) ).
fof(f9295,plain,
( sum(sum(pred(n20),n0),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n20),succ(sK1)),sum(pred(sK1),n0))
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9294,f580]) ).
fof(f580,plain,
n0 = succ(n20),
inference(cnf_transformation,[],[f3]) ).
fof(f9294,plain,
( sum(sum(pred(n20),succ(sK1)),sum(pred(sK1),succ(n20))) != sum(sum(pred(n20),succ(n20)),sum(pred(sK1),succ(sK1)))
| ~ spl2_26 ),
inference(forward_demodulation,[],[f346,f804]) ).
fof(f804,plain,
( n20 = sK0
| ~ spl2_26 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f802,plain,
( spl2_26
<=> n20 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_26])]) ).
fof(f9583,plain,
( ~ spl2_4
| ~ spl2_26 ),
inference(avatar_contradiction_clause,[],[f9582]) ).
fof(f9582,plain,
( $false
| ~ spl2_4
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f9581]) ).
fof(f9581,plain,
( n1 != n1
| ~ spl2_4
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9580,f470]) ).
fof(f9580,plain,
( n1 != sum(n11,n11)
| ~ spl2_4
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9579,f307]) ).
fof(f307,plain,
n1 = sum(n19,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f9579,plain,
( sum(n11,n11) != sum(n19,n3)
| ~ spl2_4
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9578,f499]) ).
fof(f499,plain,
n11 = sum(n19,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f9578,plain,
( sum(n19,n3) != sum(sum(n19,n13),n11)
| ~ spl2_4
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9577,f125]) ).
fof(f9577,plain,
( sum(sum(n19,n13),n11) != sum(n19,sum(n11,n13))
| ~ spl2_4
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9576,f206]) ).
fof(f206,plain,
n11 = sum(n11,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f9576,plain,
( sum(n19,sum(n11,n13)) != sum(sum(n19,n13),sum(n11,n0))
| ~ spl2_4
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9575,f278]) ).
fof(f9575,plain,
( sum(sum(n19,succ(n12)),sum(n11,n0)) != sum(n19,sum(n11,succ(n12)))
| ~ spl2_4
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9574,f347]) ).
fof(f9574,plain,
( sum(n19,sum(pred(n12),succ(n12))) != sum(sum(n19,succ(n12)),sum(pred(n12),n0))
| ~ spl2_4
| ~ spl2_26 ),
inference(backward_demodulation,[],[f9297,f715]) ).
fof(f9556,plain,
( ~ spl2_11
| ~ spl2_26 ),
inference(avatar_contradiction_clause,[],[f9555]) ).
fof(f9555,plain,
( $false
| ~ spl2_11
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f9554]) ).
fof(f9554,plain,
( n9 != n9
| ~ spl2_11
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9553,f318]) ).
fof(f9553,plain,
( n9 != sum(n15,n15)
| ~ spl2_11
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9552,f482]) ).
fof(f482,plain,
n9 = sum(n19,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f9552,plain,
( sum(n15,n15) != sum(n19,n11)
| ~ spl2_11
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9551,f383]) ).
fof(f9551,plain,
( sum(n15,n15) != sum(n19,sum(n15,n17))
| ~ spl2_11
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9550,f337]) ).
fof(f337,plain,
n15 = sum(n19,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f9550,plain,
( sum(n19,sum(n15,n17)) != sum(sum(n19,n17),n15)
| ~ spl2_11
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9549,f292]) ).
fof(f9549,plain,
( sum(n19,sum(n15,n17)) != sum(sum(n19,n17),sum(n15,n0))
| ~ spl2_11
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9548,f418]) ).
fof(f9548,plain,
( sum(sum(n19,n17),sum(pred(n16),n0)) != sum(n19,sum(pred(n16),n17))
| ~ spl2_11
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9547,f233]) ).
fof(f9547,plain,
( sum(sum(n19,succ(n16)),sum(pred(n16),n0)) != sum(n19,sum(pred(n16),succ(n16)))
| ~ spl2_11
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9297,f743]) ).
fof(f9535,plain,
( ~ spl2_10
| ~ spl2_26 ),
inference(avatar_contradiction_clause,[],[f9534]) ).
fof(f9534,plain,
( $false
| ~ spl2_10
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f9533]) ).
fof(f9533,plain,
( n18 != n18
| ~ spl2_10
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9532,f357]) ).
fof(f9532,plain,
( n18 != sum(n9,n9)
| ~ spl2_10
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9531,f590]) ).
fof(f590,plain,
n18 = sum(n19,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f9531,plain,
( sum(n9,n9) != sum(n19,n20)
| ~ spl2_10
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9530,f482]) ).
fof(f9530,plain,
( sum(n19,n20) != sum(sum(n19,n11),n9)
| ~ spl2_10
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9529,f16]) ).
fof(f9529,plain,
( sum(sum(n19,n11),n9) != sum(n19,sum(n9,n11))
| ~ spl2_10
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9528,f114]) ).
fof(f9528,plain,
( sum(sum(n19,succ(n10)),n9) != sum(n19,sum(n9,succ(n10)))
| ~ spl2_10
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9527,f585]) ).
fof(f9527,plain,
( sum(n19,sum(n9,succ(n10))) != sum(sum(n19,succ(n10)),sum(n9,n0))
| ~ spl2_10
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9526,f693]) ).
fof(f9526,plain,
( sum(n19,sum(pred(n10),succ(n10))) != sum(sum(n19,succ(n10)),sum(pred(n10),n0))
| ~ spl2_10
| ~ spl2_26 ),
inference(backward_demodulation,[],[f9297,f739]) ).
fof(f9493,plain,
( ~ spl2_14
| ~ spl2_26 ),
inference(avatar_contradiction_clause,[],[f9492]) ).
fof(f9492,plain,
( $false
| ~ spl2_14
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f9491]) ).
fof(f9491,plain,
( n10 != n10
| ~ spl2_14
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9490,f230]) ).
fof(f9490,plain,
( n10 != sum(n5,n5)
| ~ spl2_14
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9489,f488]) ).
fof(f488,plain,
n10 = sum(n19,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f9489,plain,
( sum(n5,n5) != sum(n19,n12)
| ~ spl2_14
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9488,f511]) ).
fof(f9488,plain,
( sum(n5,n5) != sum(n19,sum(n5,n7))
| ~ spl2_14
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9487,f164]) ).
fof(f164,plain,
n5 = sum(n19,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f9487,plain,
( sum(n19,sum(n5,n7)) != sum(sum(n19,n7),n5)
| ~ spl2_14
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9486,f555]) ).
fof(f555,plain,
n5 = sum(n5,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f9486,plain,
( sum(n19,sum(n5,n7)) != sum(sum(n19,n7),sum(n5,n0))
| ~ spl2_14
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9485,f457]) ).
fof(f9485,plain,
( sum(sum(n19,succ(n6)),sum(n5,n0)) != sum(n19,sum(n5,succ(n6)))
| ~ spl2_14
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9484,f530]) ).
fof(f9484,plain,
( sum(n19,sum(pred(n6),succ(n6))) != sum(sum(n19,succ(n6)),sum(pred(n6),n0))
| ~ spl2_14
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9297,f755]) ).
fof(f9465,plain,
( ~ spl2_3
| ~ spl2_26 ),
inference(avatar_contradiction_clause,[],[f9464]) ).
fof(f9464,plain,
( $false
| ~ spl2_3
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f9463]) ).
fof(f9463,plain,
( n3 != n3
| ~ spl2_3
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9462,f546]) ).
fof(f9462,plain,
( n3 != sum(n12,n12)
| ~ spl2_3
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9461,f110]) ).
fof(f110,plain,
n3 = sum(n19,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f9461,plain,
( sum(n12,n12) != sum(n19,n5)
| ~ spl2_3
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9460,f630]) ).
fof(f9460,plain,
( sum(n19,n5) != sum(sum(n19,n14),n12)
| ~ spl2_3
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9459,f283]) ).
fof(f9459,plain,
( sum(n19,n5) != sum(sum(n19,n14),sum(n12,n0))
| ~ spl2_3
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9458,f610]) ).
fof(f9458,plain,
( sum(sum(n19,n14),sum(n12,n0)) != sum(n19,sum(n12,n14))
| ~ spl2_3
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9457,f502]) ).
fof(f9457,plain,
( sum(sum(n19,succ(n13)),sum(n12,n0)) != sum(n19,sum(n12,succ(n13)))
| ~ spl2_3
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9456,f225]) ).
fof(f9456,plain,
( sum(n19,sum(pred(n13),succ(n13))) != sum(sum(n19,succ(n13)),sum(pred(n13),n0))
| ~ spl2_3
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9297,f711]) ).
fof(f9441,plain,
( ~ spl2_7
| ~ spl2_26 ),
inference(avatar_contradiction_clause,[],[f9440]) ).
fof(f9440,plain,
( $false
| ~ spl2_7
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f9439]) ).
fof(f9439,plain,
( n19 != n19
| ~ spl2_7
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9438,f323]) ).
fof(f9438,plain,
( n19 != sum(n19,n0)
| ~ spl2_7
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9437,f119]) ).
fof(f9437,plain,
( sum(n19,n0) != sum(n20,n20)
| ~ spl2_7
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9436,f510]) ).
fof(f9436,plain,
( sum(n20,n20) != sum(n19,sum(n20,n1))
| ~ spl2_7
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9435,f588]) ).
fof(f588,plain,
n20 = sum(n19,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f9435,plain,
( sum(n19,sum(n20,n1)) != sum(sum(n19,n1),n20)
| ~ spl2_7
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9434,f669]) ).
fof(f9434,plain,
( sum(n19,sum(n20,n1)) != sum(sum(n19,n1),sum(n20,n0))
| ~ spl2_7
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9433,f358]) ).
fof(f9433,plain,
( sum(sum(n19,n1),sum(pred(n0),n0)) != sum(n19,sum(pred(n0),n1))
| ~ spl2_7
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9432,f192]) ).
fof(f9432,plain,
( sum(sum(n19,succ(n0)),sum(pred(n0),n0)) != sum(n19,sum(pred(n0),succ(n0)))
| ~ spl2_7
| ~ spl2_26 ),
inference(backward_demodulation,[],[f9297,f727]) ).
fof(f9402,plain,
( ~ spl2_9
| ~ spl2_26 ),
inference(avatar_contradiction_clause,[],[f9401]) ).
fof(f9401,plain,
( $false
| ~ spl2_9
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f9400]) ).
fof(f9400,plain,
( n14 != n14
| ~ spl2_9
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9399,f395]) ).
fof(f9399,plain,
( n14 != sum(n7,n7)
| ~ spl2_9
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9398,f504]) ).
fof(f504,plain,
n14 = sum(n19,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f9398,plain,
( sum(n7,n7) != sum(n19,n16)
| ~ spl2_9
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9397,f100]) ).
fof(f100,plain,
n7 = sum(n19,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f9397,plain,
( sum(n19,n16) != sum(sum(n19,n9),n7)
| ~ spl2_9
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9396,f648]) ).
fof(f9396,plain,
( sum(sum(n19,n9),n7) != sum(n19,sum(n7,n9))
| ~ spl2_9
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9395,f474]) ).
fof(f9395,plain,
( sum(n19,sum(n7,succ(n8))) != sum(sum(n19,succ(n8)),n7)
| ~ spl2_9
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9394,f568]) ).
fof(f568,plain,
n7 = sum(n7,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f9394,plain,
( sum(n19,sum(n7,succ(n8))) != sum(sum(n19,succ(n8)),sum(n7,n0))
| ~ spl2_9
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9393,f607]) ).
fof(f9393,plain,
( sum(n19,sum(pred(n8),succ(n8))) != sum(sum(n19,succ(n8)),sum(pred(n8),n0))
| ~ spl2_9
| ~ spl2_26 ),
inference(backward_demodulation,[],[f9297,f735]) ).
fof(f9378,plain,
( ~ spl2_12
| ~ spl2_26 ),
inference(avatar_contradiction_clause,[],[f9377]) ).
fof(f9377,plain,
( $false
| ~ spl2_12
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f9376]) ).
fof(f9376,plain,
( n15 != n15
| ~ spl2_12
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9375,f679]) ).
fof(f9375,plain,
( n15 != sum(n18,n18)
| ~ spl2_12
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9374,f337]) ).
fof(f9374,plain,
( sum(n18,n18) != sum(n19,n17)
| ~ spl2_12
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9373,f153]) ).
fof(f9373,plain,
( sum(n18,n18) != sum(n19,sum(n18,n20))
| ~ spl2_12
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9372,f590]) ).
fof(f9372,plain,
( sum(n19,sum(n18,n20)) != sum(sum(n19,n20),n18)
| ~ spl2_12
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9371,f407]) ).
fof(f9371,plain,
( sum(n19,sum(n18,n20)) != sum(sum(n19,n20),sum(n18,n0))
| ~ spl2_12
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9370,f508]) ).
fof(f9370,plain,
( sum(sum(n19,succ(n19)),sum(n18,n0)) != sum(n19,sum(n18,succ(n19)))
| ~ spl2_12
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9369,f350]) ).
fof(f9369,plain,
( sum(n19,sum(pred(n19),succ(n19))) != sum(sum(n19,succ(n19)),sum(pred(n19),n0))
| ~ spl2_12
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9297,f747]) ).
fof(f9354,plain,
( ~ spl2_6
| ~ spl2_26 ),
inference(avatar_contradiction_clause,[],[f9353]) ).
fof(f9353,plain,
( $false
| ~ spl2_6
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f9352]) ).
fof(f9352,plain,
( n20 != n20
| ~ spl2_6
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9351,f324]) ).
fof(f9351,plain,
( n20 != sum(n10,n10)
| ~ spl2_6
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9350,f588]) ).
fof(f9350,plain,
( sum(n10,n10) != sum(n19,n1)
| ~ spl2_6
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9349,f488]) ).
fof(f9349,plain,
( sum(n19,n1) != sum(sum(n19,n12),n10)
| ~ spl2_6
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9348,f50]) ).
fof(f9348,plain,
( sum(n19,n1) != sum(sum(n19,n12),sum(n10,n0))
| ~ spl2_6
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9347,f21]) ).
fof(f9347,plain,
( sum(sum(n19,n12),sum(n10,n0)) != sum(n19,sum(n10,n12))
| ~ spl2_6
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9346,f266]) ).
fof(f9346,plain,
( sum(sum(n19,n12),sum(pred(n11),n0)) != sum(n19,sum(pred(n11),n12))
| ~ spl2_6
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9345,f641]) ).
fof(f9345,plain,
( sum(sum(n19,succ(n11)),sum(pred(n11),n0)) != sum(n19,sum(pred(n11),succ(n11)))
| ~ spl2_6
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9297,f723]) ).
fof(f9322,plain,
( ~ spl2_13
| ~ spl2_26 ),
inference(avatar_contradiction_clause,[],[f9321]) ).
fof(f9321,plain,
( $false
| ~ spl2_13
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f9320]) ).
fof(f9320,plain,
( n8 != n8
| ~ spl2_13
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9319,f157]) ).
fof(f9319,plain,
( n8 != sum(n4,n4)
| ~ spl2_13
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9318,f273]) ).
fof(f273,plain,
n8 = sum(n19,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f9318,plain,
( sum(n4,n4) != sum(n19,n10)
| ~ spl2_13
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9317,f265]) ).
fof(f265,plain,
n4 = sum(n19,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f9317,plain,
( sum(n19,n10) != sum(sum(n19,n6),n4)
| ~ spl2_13
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9316,f290]) ).
fof(f9316,plain,
( sum(n19,n10) != sum(sum(n19,n6),sum(n4,n0))
| ~ spl2_13
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9315,f464]) ).
fof(f9315,plain,
( sum(sum(n19,n6),sum(n4,n0)) != sum(n19,sum(n4,n6))
| ~ spl2_13
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9314,f126]) ).
fof(f9314,plain,
( sum(sum(n19,n6),sum(pred(n5),n0)) != sum(n19,sum(pred(n5),n6))
| ~ spl2_13
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9313,f692]) ).
fof(f9313,plain,
( sum(sum(n19,succ(n5)),sum(pred(n5),n0)) != sum(n19,sum(pred(n5),succ(n5)))
| ~ spl2_13
| ~ spl2_26 ),
inference(backward_demodulation,[],[f9297,f751]) ).
fof(f9293,plain,
( ~ spl2_1
| ~ spl2_26 ),
inference(avatar_contradiction_clause,[],[f9292]) ).
fof(f9292,plain,
( $false
| ~ spl2_1
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f9291]) ).
fof(f9291,plain,
( n4 != n4
| ~ spl2_1
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9290,f489]) ).
fof(f9290,plain,
( n4 != sum(n2,n2)
| ~ spl2_1
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9289,f265]) ).
fof(f9289,plain,
( sum(n2,n2) != sum(n19,n6)
| ~ spl2_1
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9288,f64]) ).
fof(f64,plain,
n2 = sum(n19,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f9288,plain,
( sum(n19,n6) != sum(sum(n19,n4),n2)
| ~ spl2_1
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9287,f12]) ).
fof(f9287,plain,
( sum(n19,n6) != sum(sum(n19,n4),sum(n2,n0))
| ~ spl2_1
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9286,f323]) ).
fof(f9286,plain,
( sum(sum(n19,n4),sum(n2,n0)) != sum(sum(n19,n0),n6)
| ~ spl2_1
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9285,f214]) ).
fof(f9285,plain,
( sum(sum(pred(n20),n4),sum(n2,n0)) != sum(sum(pred(n20),n0),n6)
| ~ spl2_1
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9284,f533]) ).
fof(f9284,plain,
( sum(sum(pred(n20),n4),sum(n2,n0)) != sum(sum(pred(n20),n0),sum(n2,n4))
| ~ spl2_1
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9283,f174]) ).
fof(f9283,plain,
( sum(sum(pred(n20),n0),sum(pred(n3),n4)) != sum(sum(pred(n20),n4),sum(pred(n3),n0))
| ~ spl2_1
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9282,f580]) ).
fof(f9282,plain,
( sum(sum(pred(n20),succ(n20)),sum(pred(n3),n4)) != sum(sum(pred(n20),n4),sum(pred(n3),succ(n20)))
| ~ spl2_1
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9281,f447]) ).
fof(f9281,plain,
( sum(sum(pred(n20),succ(n3)),sum(pred(n3),succ(n20))) != sum(sum(pred(n20),succ(n20)),sum(pred(n3),succ(n3)))
| ~ spl2_1
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9280,f804]) ).
fof(f9280,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n3),succ(n3))) != sum(sum(pred(sK0),succ(n3)),sum(pred(n3),succ(sK0)))
| ~ spl2_1 ),
inference(forward_demodulation,[],[f346,f703]) ).
fof(f9228,plain,
( ~ spl2_8
| ~ spl2_34 ),
inference(avatar_contradiction_clause,[],[f9227]) ).
fof(f9227,plain,
( $false
| ~ spl2_8
| ~ spl2_34 ),
inference(trivial_inequality_removal,[],[f9226]) ).
fof(f9226,plain,
( n19 != n19
| ~ spl2_8
| ~ spl2_34 ),
inference(forward_demodulation,[],[f9225,f547]) ).
fof(f547,plain,
n19 = sum(n0,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f9225,plain,
( n19 != sum(n0,n19)
| ~ spl2_8
| ~ spl2_34 ),
inference(forward_demodulation,[],[f9224,f119]) ).
fof(f9224,plain,
( sum(n0,n19) != sum(n20,n20)
| ~ spl2_8
| ~ spl2_34 ),
inference(forward_demodulation,[],[f9223,f510]) ).
fof(f9223,plain,
( sum(n20,n20) != sum(sum(n20,n1),n19)
| ~ spl2_8
| ~ spl2_34 ),
inference(forward_demodulation,[],[f9222,f669]) ).
fof(f9222,plain,
( sum(sum(n20,n1),n19) != sum(sum(n20,n0),n20)
| ~ spl2_8
| ~ spl2_34 ),
inference(forward_demodulation,[],[f9221,f588]) ).
fof(f9221,plain,
( sum(sum(n20,n1),n19) != sum(sum(n20,n0),sum(n19,n1))
| ~ spl2_8
| ~ spl2_34 ),
inference(forward_demodulation,[],[f9220,f358]) ).
fof(f9220,plain,
( sum(sum(pred(n0),n0),sum(n19,n1)) != sum(sum(pred(n0),n1),n19)
| ~ spl2_8
| ~ spl2_34 ),
inference(forward_demodulation,[],[f9219,f192]) ).
fof(f9219,plain,
( sum(sum(pred(n0),n0),sum(n19,succ(n0))) != sum(sum(pred(n0),succ(n0)),n19)
| ~ spl2_8
| ~ spl2_34 ),
inference(forward_demodulation,[],[f8920,f836]) ).
fof(f8920,plain,
( sum(sum(pred(sK0),n0),sum(n19,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n19)
| ~ spl2_8 ),
inference(forward_demodulation,[],[f8919,f323]) ).
fof(f8919,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(n19,n0)) != sum(sum(pred(sK0),n0),sum(n19,succ(sK0)))
| ~ spl2_8 ),
inference(forward_demodulation,[],[f8918,f580]) ).
fof(f8918,plain,
( sum(sum(pred(sK0),succ(n20)),sum(n19,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n19,succ(n20)))
| ~ spl2_8 ),
inference(forward_demodulation,[],[f8872,f214]) ).
fof(f8872,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n20),succ(n20))) != sum(sum(pred(sK0),succ(n20)),sum(pred(n20),succ(sK0)))
| ~ spl2_8 ),
inference(forward_demodulation,[],[f346,f731]) ).
fof(f731,plain,
( n20 = sK1
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f729]) ).
fof(f729,plain,
( spl2_8
<=> n20 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
fof(f9201,plain,
( ~ spl2_8
| ~ spl2_38 ),
inference(avatar_contradiction_clause,[],[f9200]) ).
fof(f9200,plain,
( $false
| ~ spl2_8
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f9199]) ).
fof(f9199,plain,
( n0 != n0
| ~ spl2_8
| ~ spl2_38 ),
inference(forward_demodulation,[],[f9198,f296]) ).
fof(f9198,plain,
( n0 != sum(n0,n0)
| ~ spl2_8
| ~ spl2_38 ),
inference(forward_demodulation,[],[f9197,f528]) ).
fof(f9197,plain,
( sum(n0,n0) != sum(n2,n19)
| ~ spl2_8
| ~ spl2_38 ),
inference(forward_demodulation,[],[f9196,f190]) ).
fof(f9196,plain,
( sum(n0,n0) != sum(sum(n0,n2),n19)
| ~ spl2_8
| ~ spl2_38 ),
inference(forward_demodulation,[],[f9195,f296]) ).
fof(f9195,plain,
( sum(sum(n0,n2),n19) != sum(sum(n0,n0),n0)
| ~ spl2_8
| ~ spl2_38 ),
inference(forward_demodulation,[],[f9194,f274]) ).
fof(f274,plain,
n0 = sum(n19,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f9194,plain,
( sum(sum(n0,n2),n19) != sum(sum(n0,n0),sum(n19,n2))
| ~ spl2_8
| ~ spl2_38 ),
inference(forward_demodulation,[],[f9193,f598]) ).
fof(f9193,plain,
( sum(sum(pred(n1),n0),sum(n19,n2)) != sum(sum(pred(n1),n2),n19)
| ~ spl2_8
| ~ spl2_38 ),
inference(forward_demodulation,[],[f9192,f677]) ).
fof(f9192,plain,
( sum(sum(pred(n1),n0),sum(n19,succ(n1))) != sum(sum(pred(n1),succ(n1)),n19)
| ~ spl2_8
| ~ spl2_38 ),
inference(backward_demodulation,[],[f8920,f852]) ).
fof(f9172,plain,
( ~ spl2_8
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f9171]) ).
fof(f9171,plain,
( $false
| ~ spl2_8
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f9170]) ).
fof(f9170,plain,
( n18 != n18
| ~ spl2_8
| ~ spl2_42 ),
inference(forward_demodulation,[],[f9169,f357]) ).
fof(f9169,plain,
( n18 != sum(n9,n9)
| ~ spl2_8
| ~ spl2_42 ),
inference(forward_demodulation,[],[f9168,f223]) ).
fof(f9168,plain,
( sum(n9,n9) != sum(n20,n19)
| ~ spl2_8
| ~ spl2_42 ),
inference(forward_demodulation,[],[f9167,f585]) ).
fof(f9167,plain,
( sum(n20,n19) != sum(sum(n9,n0),n9)
| ~ spl2_8
| ~ spl2_42 ),
inference(forward_demodulation,[],[f9166,f16]) ).
fof(f9166,plain,
( sum(sum(n9,n0),n9) != sum(sum(n9,n11),n19)
| ~ spl2_8
| ~ spl2_42 ),
inference(forward_demodulation,[],[f9165,f693]) ).
fof(f9165,plain,
( sum(sum(pred(n10),n11),n19) != sum(sum(pred(n10),n0),n9)
| ~ spl2_8
| ~ spl2_42 ),
inference(forward_demodulation,[],[f9164,f482]) ).
fof(f9164,plain,
( sum(sum(pred(n10),n11),n19) != sum(sum(pred(n10),n0),sum(n19,n11))
| ~ spl2_8
| ~ spl2_42 ),
inference(forward_demodulation,[],[f9163,f114]) ).
fof(f9163,plain,
( sum(sum(pred(n10),succ(n10)),n19) != sum(sum(pred(n10),n0),sum(n19,succ(n10)))
| ~ spl2_8
| ~ spl2_42 ),
inference(backward_demodulation,[],[f8920,f868]) ).
fof(f9135,plain,
( ~ spl2_8
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f9134]) ).
fof(f9134,plain,
( $false
| ~ spl2_8
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f9133]) ).
fof(f9133,plain,
( n4 != n4
| ~ spl2_8
| ~ spl2_29 ),
inference(forward_demodulation,[],[f9132,f489]) ).
fof(f9132,plain,
( n4 != sum(n2,n2)
| ~ spl2_8
| ~ spl2_29 ),
inference(forward_demodulation,[],[f9131,f246]) ).
fof(f9131,plain,
( sum(n2,n2) != sum(n6,n19)
| ~ spl2_8
| ~ spl2_29 ),
inference(forward_demodulation,[],[f9130,f12]) ).
fof(f9130,plain,
( sum(n6,n19) != sum(sum(n2,n0),n2)
| ~ spl2_8
| ~ spl2_29 ),
inference(forward_demodulation,[],[f9129,f64]) ).
fof(f9129,plain,
( sum(n6,n19) != sum(sum(n2,n0),sum(n19,n4))
| ~ spl2_8
| ~ spl2_29 ),
inference(forward_demodulation,[],[f9128,f533]) ).
fof(f9128,plain,
( sum(sum(n2,n0),sum(n19,n4)) != sum(sum(n2,n4),n19)
| ~ spl2_8
| ~ spl2_29 ),
inference(forward_demodulation,[],[f9127,f174]) ).
fof(f9127,plain,
( sum(sum(pred(n3),n0),sum(n19,n4)) != sum(sum(pred(n3),n4),n19)
| ~ spl2_8
| ~ spl2_29 ),
inference(forward_demodulation,[],[f9126,f447]) ).
fof(f9126,plain,
( sum(sum(pred(n3),n0),sum(n19,succ(n3))) != sum(sum(pred(n3),succ(n3)),n19)
| ~ spl2_8
| ~ spl2_29 ),
inference(forward_demodulation,[],[f8920,f816]) ).
fof(f9121,plain,
( ~ spl2_8
| ~ spl2_27 ),
inference(avatar_contradiction_clause,[],[f9120]) ).
fof(f9120,plain,
( $false
| ~ spl2_8
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f9119]) ).
fof(f9119,plain,
( n20 != n20
| ~ spl2_8
| ~ spl2_27 ),
inference(forward_demodulation,[],[f9118,f68]) ).
fof(f68,plain,
n20 = sum(n1,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f9118,plain,
( n20 != sum(n1,n19)
| ~ spl2_8
| ~ spl2_27 ),
inference(forward_demodulation,[],[f9117,f324]) ).
fof(f9117,plain,
( sum(n1,n19) != sum(n10,n10)
| ~ spl2_8
| ~ spl2_27 ),
inference(forward_demodulation,[],[f9116,f21]) ).
fof(f9116,plain,
( sum(n10,n10) != sum(sum(n10,n12),n19)
| ~ spl2_8
| ~ spl2_27 ),
inference(forward_demodulation,[],[f9115,f50]) ).
fof(f9115,plain,
( sum(sum(n10,n12),n19) != sum(sum(n10,n0),n10)
| ~ spl2_8
| ~ spl2_27 ),
inference(forward_demodulation,[],[f9114,f266]) ).
fof(f9114,plain,
( sum(sum(pred(n11),n12),n19) != sum(sum(pred(n11),n0),n10)
| ~ spl2_8
| ~ spl2_27 ),
inference(forward_demodulation,[],[f9113,f488]) ).
fof(f9113,plain,
( sum(sum(pred(n11),n12),n19) != sum(sum(pred(n11),n0),sum(n19,n12))
| ~ spl2_8
| ~ spl2_27 ),
inference(forward_demodulation,[],[f9112,f641]) ).
fof(f9112,plain,
( sum(sum(pred(n11),succ(n11)),n19) != sum(sum(pred(n11),n0),sum(n19,succ(n11)))
| ~ spl2_8
| ~ spl2_27 ),
inference(backward_demodulation,[],[f8920,f808]) ).
fof(f9083,plain,
( ~ spl2_8
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f9082]) ).
fof(f9082,plain,
( $false
| ~ spl2_8
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f9081]) ).
fof(f9081,plain,
( n10 != n10
| ~ spl2_8
| ~ spl2_28 ),
inference(forward_demodulation,[],[f9080,f230]) ).
fof(f9080,plain,
( n10 != sum(n5,n5)
| ~ spl2_8
| ~ spl2_28 ),
inference(forward_demodulation,[],[f9079,f452]) ).
fof(f9079,plain,
( sum(n5,n5) != sum(n12,n19)
| ~ spl2_8
| ~ spl2_28 ),
inference(forward_demodulation,[],[f9078,f555]) ).
fof(f9078,plain,
( sum(n12,n19) != sum(sum(n5,n0),n5)
| ~ spl2_8
| ~ spl2_28 ),
inference(forward_demodulation,[],[f9077,f511]) ).
fof(f9077,plain,
( sum(sum(n5,n0),n5) != sum(sum(n5,n7),n19)
| ~ spl2_8
| ~ spl2_28 ),
inference(forward_demodulation,[],[f9076,f164]) ).
fof(f9076,plain,
( sum(sum(n5,n7),n19) != sum(sum(n5,n0),sum(n19,n7))
| ~ spl2_8
| ~ spl2_28 ),
inference(forward_demodulation,[],[f9075,f530]) ).
fof(f9075,plain,
( sum(sum(pred(n6),n0),sum(n19,n7)) != sum(sum(pred(n6),n7),n19)
| ~ spl2_8
| ~ spl2_28 ),
inference(forward_demodulation,[],[f9074,f457]) ).
fof(f9074,plain,
( sum(sum(pred(n6),succ(n6)),n19) != sum(sum(pred(n6),n0),sum(n19,succ(n6)))
| ~ spl2_8
| ~ spl2_28 ),
inference(forward_demodulation,[],[f8920,f812]) ).
fof(f9057,plain,
( ~ spl2_8
| ~ spl2_26 ),
inference(avatar_contradiction_clause,[],[f9056]) ).
fof(f9056,plain,
( $false
| ~ spl2_8
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f9055]) ).
fof(f9055,plain,
( sum(sum(pred(n20),n0),n19) != sum(sum(pred(n20),n0),n19)
| ~ spl2_8
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9054,f323]) ).
fof(f9054,plain,
( sum(sum(pred(n20),n0),n19) != sum(sum(pred(n20),n0),sum(n19,n0))
| ~ spl2_8
| ~ spl2_26 ),
inference(forward_demodulation,[],[f9053,f580]) ).
fof(f9053,plain,
( sum(sum(pred(n20),succ(n20)),n19) != sum(sum(pred(n20),n0),sum(n19,succ(n20)))
| ~ spl2_8
| ~ spl2_26 ),
inference(backward_demodulation,[],[f8920,f804]) ).
fof(f9033,plain,
( ~ spl2_8
| ~ spl2_40 ),
inference(avatar_contradiction_clause,[],[f9032]) ).
fof(f9032,plain,
( $false
| ~ spl2_8
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f9031]) ).
fof(f9031,plain,
( n13 != n13
| ~ spl2_8
| ~ spl2_40 ),
inference(forward_demodulation,[],[f9030,f82]) ).
fof(f9030,plain,
( n13 != sum(n15,n19)
| ~ spl2_8
| ~ spl2_40 ),
inference(forward_demodulation,[],[f9029,f106]) ).
fof(f9029,plain,
( sum(n15,n19) != sum(n17,n17)
| ~ spl2_8
| ~ spl2_40 ),
inference(forward_demodulation,[],[f9028,f281]) ).
fof(f281,plain,
n17 = sum(n17,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f9028,plain,
( sum(n15,n19) != sum(sum(n17,n0),n17)
| ~ spl2_8
| ~ spl2_40 ),
inference(forward_demodulation,[],[f9027,f402]) ).
fof(f9027,plain,
( sum(sum(n17,n0),n17) != sum(sum(n17,n19),n19)
| ~ spl2_8
| ~ spl2_40 ),
inference(forward_demodulation,[],[f9026,f651]) ).
fof(f9026,plain,
( sum(sum(pred(n18),n19),n19) != sum(sum(pred(n18),n0),n17)
| ~ spl2_8
| ~ spl2_40 ),
inference(forward_demodulation,[],[f9025,f210]) ).
fof(f9025,plain,
( sum(sum(pred(n18),n19),n19) != sum(sum(pred(n18),n0),sum(n19,n19))
| ~ spl2_8
| ~ spl2_40 ),
inference(forward_demodulation,[],[f9024,f40]) ).
fof(f9024,plain,
( sum(sum(pred(n18),n0),sum(n19,succ(n18))) != sum(sum(pred(n18),succ(n18)),n19)
| ~ spl2_8
| ~ spl2_40 ),
inference(forward_demodulation,[],[f8920,f860]) ).
fof(f9001,plain,
( ~ spl2_8
| ~ spl2_36 ),
inference(avatar_contradiction_clause,[],[f9000]) ).
fof(f9000,plain,
( $false
| ~ spl2_8
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f8999]) ).
fof(f8999,plain,
( n16 != n16
| ~ spl2_8
| ~ spl2_36 ),
inference(forward_demodulation,[],[f8998,f177]) ).
fof(f8998,plain,
( n16 != sum(n8,n8)
| ~ spl2_8
| ~ spl2_36 ),
inference(forward_demodulation,[],[f8997,f450]) ).
fof(f8997,plain,
( sum(n8,n8) != sum(n18,n19)
| ~ spl2_8
| ~ spl2_36 ),
inference(forward_demodulation,[],[f8996,f41]) ).
fof(f41,plain,
n8 = sum(n8,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f8996,plain,
( sum(n18,n19) != sum(sum(n8,n0),n8)
| ~ spl2_8
| ~ spl2_36 ),
inference(forward_demodulation,[],[f8995,f391]) ).
fof(f8995,plain,
( sum(sum(n8,n0),n8) != sum(sum(n8,n10),n19)
| ~ spl2_8
| ~ spl2_36 ),
inference(forward_demodulation,[],[f8994,f333]) ).
fof(f8994,plain,
( sum(sum(pred(n9),n10),n19) != sum(sum(pred(n9),n0),n8)
| ~ spl2_8
| ~ spl2_36 ),
inference(forward_demodulation,[],[f8993,f273]) ).
fof(f8993,plain,
( sum(sum(pred(n9),n10),n19) != sum(sum(pred(n9),n0),sum(n19,n10))
| ~ spl2_8
| ~ spl2_36 ),
inference(forward_demodulation,[],[f8992,f699]) ).
fof(f8992,plain,
( sum(sum(pred(n9),succ(n9)),n19) != sum(sum(pred(n9),n0),sum(n19,succ(n9)))
| ~ spl2_8
| ~ spl2_36 ),
inference(forward_demodulation,[],[f8920,f844]) ).
fof(f8978,plain,
( ~ spl2_8
| ~ spl2_32 ),
inference(avatar_contradiction_clause,[],[f8977]) ).
fof(f8977,plain,
( $false
| ~ spl2_8
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f8976]) ).
fof(f8976,plain,
( n8 != n8
| ~ spl2_8
| ~ spl2_32 ),
inference(forward_demodulation,[],[f8975,f157]) ).
fof(f8975,plain,
( n8 != sum(n4,n4)
| ~ spl2_8
| ~ spl2_32 ),
inference(forward_demodulation,[],[f8974,f10]) ).
fof(f8974,plain,
( sum(n4,n4) != sum(n10,n19)
| ~ spl2_8
| ~ spl2_32 ),
inference(forward_demodulation,[],[f8973,f290]) ).
fof(f8973,plain,
( sum(n10,n19) != sum(sum(n4,n0),n4)
| ~ spl2_8
| ~ spl2_32 ),
inference(forward_demodulation,[],[f8972,f265]) ).
fof(f8972,plain,
( sum(n10,n19) != sum(sum(n4,n0),sum(n19,n6))
| ~ spl2_8
| ~ spl2_32 ),
inference(forward_demodulation,[],[f8971,f464]) ).
fof(f8971,plain,
( sum(sum(n4,n0),sum(n19,n6)) != sum(sum(n4,n6),n19)
| ~ spl2_8
| ~ spl2_32 ),
inference(forward_demodulation,[],[f8970,f126]) ).
fof(f8970,plain,
( sum(sum(pred(n5),n0),sum(n19,n6)) != sum(sum(pred(n5),n6),n19)
| ~ spl2_8
| ~ spl2_32 ),
inference(forward_demodulation,[],[f8969,f692]) ).
fof(f8969,plain,
( sum(sum(pred(n5),succ(n5)),n19) != sum(sum(pred(n5),n0),sum(n19,succ(n5)))
| ~ spl2_8
| ~ spl2_32 ),
inference(backward_demodulation,[],[f8920,f828]) ).
fof(f8948,plain,
( ~ spl2_8
| ~ spl2_25 ),
inference(avatar_contradiction_clause,[],[f8947]) ).
fof(f8947,plain,
( $false
| ~ spl2_8
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f8946]) ).
fof(f8946,plain,
( n7 != n7
| ~ spl2_8
| ~ spl2_25 ),
inference(forward_demodulation,[],[f8945,f521]) ).
fof(f8945,plain,
( n7 != sum(n9,n19)
| ~ spl2_8
| ~ spl2_25 ),
inference(forward_demodulation,[],[f8944,f243]) ).
fof(f8944,plain,
( sum(n9,n19) != sum(n14,n14)
| ~ spl2_8
| ~ spl2_25 ),
inference(forward_demodulation,[],[f8943,f486]) ).
fof(f8943,plain,
( sum(n14,n14) != sum(sum(n14,n16),n19)
| ~ spl2_8
| ~ spl2_25 ),
inference(forward_demodulation,[],[f8942,f176]) ).
fof(f8942,plain,
( sum(sum(n14,n16),n19) != sum(sum(n14,n0),n14)
| ~ spl2_8
| ~ spl2_25 ),
inference(forward_demodulation,[],[f8941,f562]) ).
fof(f8941,plain,
( sum(sum(pred(n15),n0),n14) != sum(sum(pred(n15),n16),n19)
| ~ spl2_8
| ~ spl2_25 ),
inference(forward_demodulation,[],[f8940,f504]) ).
fof(f8940,plain,
( sum(sum(pred(n15),n16),n19) != sum(sum(pred(n15),n0),sum(n19,n16))
| ~ spl2_8
| ~ spl2_25 ),
inference(forward_demodulation,[],[f8939,f37]) ).
fof(f8939,plain,
( sum(sum(pred(n15),n0),sum(n19,succ(n15))) != sum(sum(pred(n15),succ(n15)),n19)
| ~ spl2_8
| ~ spl2_25 ),
inference(backward_demodulation,[],[f8920,f800]) ).
fof(f8910,plain,
( ~ spl2_8
| ~ spl2_23 ),
inference(avatar_contradiction_clause,[],[f8909]) ).
fof(f8909,plain,
( $false
| ~ spl2_8
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f8908]) ).
fof(f8908,plain,
( n2 != n2
| ~ spl2_8
| ~ spl2_23 ),
inference(forward_demodulation,[],[f8907,f433]) ).
fof(f8907,plain,
( n2 != sum(n1,n1)
| ~ spl2_8
| ~ spl2_23 ),
inference(forward_demodulation,[],[f8906,f259]) ).
fof(f8906,plain,
( sum(n1,n1) != sum(n4,n19)
| ~ spl2_8
| ~ spl2_23 ),
inference(forward_demodulation,[],[f8905,f141]) ).
fof(f8905,plain,
( sum(n1,n1) != sum(sum(n1,n3),n19)
| ~ spl2_8
| ~ spl2_23 ),
inference(forward_demodulation,[],[f8904,f448]) ).
fof(f8904,plain,
( sum(sum(n1,n3),n19) != sum(sum(n1,n0),n1)
| ~ spl2_8
| ~ spl2_23 ),
inference(forward_demodulation,[],[f8903,f231]) ).
fof(f8903,plain,
( sum(sum(pred(n2),n3),n19) != sum(sum(pred(n2),n0),n1)
| ~ spl2_8
| ~ spl2_23 ),
inference(forward_demodulation,[],[f8902,f307]) ).
fof(f8902,plain,
( sum(sum(pred(n2),n3),n19) != sum(sum(pred(n2),n0),sum(n19,n3))
| ~ spl2_8
| ~ spl2_23 ),
inference(forward_demodulation,[],[f8901,f323]) ).
fof(f8901,plain,
( sum(sum(pred(n2),n0),sum(n19,n3)) != sum(sum(pred(n2),n3),sum(n19,n0))
| ~ spl2_8
| ~ spl2_23 ),
inference(forward_demodulation,[],[f8900,f214]) ).
fof(f8900,plain,
( sum(sum(pred(n2),n3),sum(pred(n20),n0)) != sum(sum(pred(n2),n0),sum(pred(n20),n3))
| ~ spl2_8
| ~ spl2_23 ),
inference(forward_demodulation,[],[f8899,f184]) ).
fof(f8899,plain,
( sum(sum(pred(n2),succ(n2)),sum(pred(n20),n0)) != sum(sum(pred(n2),n0),sum(pred(n20),succ(n2)))
| ~ spl2_8
| ~ spl2_23 ),
inference(forward_demodulation,[],[f8898,f580]) ).
fof(f8898,plain,
( sum(sum(pred(n2),succ(n20)),sum(pred(n20),succ(n2))) != sum(sum(pred(n2),succ(n2)),sum(pred(n20),succ(n20)))
| ~ spl2_8
| ~ spl2_23 ),
inference(forward_demodulation,[],[f8872,f792]) ).
fof(f8885,plain,
( ~ spl2_8
| ~ spl2_30 ),
inference(avatar_contradiction_clause,[],[f8884]) ).
fof(f8884,plain,
( $false
| ~ spl2_8
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f8883]) ).
fof(f8883,plain,
( n12 != n12
| ~ spl2_8
| ~ spl2_30 ),
inference(forward_demodulation,[],[f8882,f316]) ).
fof(f8882,plain,
( n12 != sum(n6,n6)
| ~ spl2_8
| ~ spl2_30 ),
inference(forward_demodulation,[],[f8881,f220]) ).
fof(f220,plain,
n12 = sum(n14,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f8881,plain,
( sum(n6,n6) != sum(n14,n19)
| ~ spl2_8
| ~ spl2_30 ),
inference(forward_demodulation,[],[f8880,f653]) ).
fof(f8880,plain,
( sum(n14,n19) != sum(sum(n6,n0),n6)
| ~ spl2_8
| ~ spl2_30 ),
inference(forward_demodulation,[],[f8879,f496]) ).
fof(f8879,plain,
( sum(sum(n6,n0),n6) != sum(sum(n6,n8),n19)
| ~ spl2_8
| ~ spl2_30 ),
inference(forward_demodulation,[],[f8878,f323]) ).
fof(f8878,plain,
( sum(sum(n6,n0),n6) != sum(sum(n6,n8),sum(n19,n0))
| ~ spl2_8
| ~ spl2_30 ),
inference(forward_demodulation,[],[f8877,f519]) ).
fof(f8877,plain,
( sum(sum(pred(n7),n8),sum(n19,n0)) != sum(sum(pred(n7),n0),n6)
| ~ spl2_8
| ~ spl2_30 ),
inference(forward_demodulation,[],[f8876,f580]) ).
fof(f8876,plain,
( sum(sum(pred(n7),succ(n20)),n6) != sum(sum(pred(n7),n8),sum(n19,succ(n20)))
| ~ spl2_8
| ~ spl2_30 ),
inference(forward_demodulation,[],[f8875,f127]) ).
fof(f8875,plain,
( sum(sum(pred(n7),n8),sum(n19,succ(n20))) != sum(sum(pred(n7),succ(n20)),sum(n19,n8))
| ~ spl2_8
| ~ spl2_30 ),
inference(forward_demodulation,[],[f8874,f214]) ).
fof(f8874,plain,
( sum(sum(pred(n7),n8),sum(pred(n20),succ(n20))) != sum(sum(pred(n7),succ(n20)),sum(pred(n20),n8))
| ~ spl2_8
| ~ spl2_30 ),
inference(forward_demodulation,[],[f8873,f302]) ).
fof(f8873,plain,
( sum(sum(pred(n7),succ(n7)),sum(pred(n20),succ(n20))) != sum(sum(pred(n7),succ(n20)),sum(pred(n20),succ(n7)))
| ~ spl2_8
| ~ spl2_30 ),
inference(forward_demodulation,[],[f8872,f820]) ).
fof(f8822,plain,
( ~ spl2_12
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f8821]) ).
fof(f8821,plain,
( $false
| ~ spl2_12
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f8820]) ).
fof(f8820,plain,
( n20 != n20
| ~ spl2_12
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8819,f449]) ).
fof(f449,plain,
n20 = sum(n3,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f8819,plain,
( n20 != sum(n3,n17)
| ~ spl2_12
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8818,f324]) ).
fof(f8818,plain,
( sum(n3,n17) != sum(n10,n10)
| ~ spl2_12
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8817,f69]) ).
fof(f69,plain,
n10 = sum(n11,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f8817,plain,
( sum(n3,n17) != sum(sum(n11,n20),n10)
| ~ spl2_12
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8816,f153]) ).
fof(f8816,plain,
( sum(sum(n11,n20),n10) != sum(n3,sum(n18,n20))
| ~ spl2_12
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8815,f98]) ).
fof(f98,plain,
n10 = sum(n18,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f8815,plain,
( sum(n3,sum(n18,n20)) != sum(sum(n11,n20),sum(n18,n13))
| ~ spl2_12
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8814,f350]) ).
fof(f8814,plain,
( sum(sum(n11,n20),sum(pred(n19),n13)) != sum(n3,sum(pred(n19),n20))
| ~ spl2_12
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8813,f508]) ).
fof(f8813,plain,
( sum(sum(n11,succ(n19)),sum(pred(n19),n13)) != sum(n3,sum(pred(n19),succ(n19)))
| ~ spl2_12
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8479,f747]) ).
fof(f8479,plain,
( sum(n3,sum(pred(sK1),succ(sK1))) != sum(sum(n11,succ(sK1)),sum(pred(sK1),n13))
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8478,f125]) ).
fof(f8478,plain,
( sum(sum(n11,n13),sum(pred(sK1),succ(sK1))) != sum(sum(n11,succ(sK1)),sum(pred(sK1),n13))
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8477,f347]) ).
fof(f8477,plain,
( sum(sum(pred(n12),succ(sK1)),sum(pred(sK1),n13)) != sum(sum(pred(n12),n13),sum(pred(sK1),succ(sK1)))
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8476,f278]) ).
fof(f8476,plain,
( sum(sum(pred(n12),succ(n12)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n12),succ(sK1)),sum(pred(sK1),succ(n12)))
| ~ spl2_24 ),
inference(forward_demodulation,[],[f346,f796]) ).
fof(f796,plain,
( n12 = sK0
| ~ spl2_24 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f794,plain,
( spl2_24
<=> n12 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_24])]) ).
fof(f8800,plain,
( ~ spl2_7
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f8799]) ).
fof(f8799,plain,
( $false
| ~ spl2_7
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f8798]) ).
fof(f8798,plain,
( n3 != n3
| ~ spl2_7
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8797,f427]) ).
fof(f427,plain,
n3 = sum(n3,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f8797,plain,
( n3 != sum(n3,n0)
| ~ spl2_7
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8796,f546]) ).
fof(f8796,plain,
( sum(n3,n0) != sum(n12,n12)
| ~ spl2_7
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8795,f112]) ).
fof(f8795,plain,
( sum(n3,n0) != sum(sum(n11,n1),n12)
| ~ spl2_7
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8794,f159]) ).
fof(f8794,plain,
( sum(n3,n0) != sum(sum(n11,n1),sum(n20,n13))
| ~ spl2_7
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8793,f510]) ).
fof(f8793,plain,
( sum(sum(n11,n1),sum(n20,n13)) != sum(n3,sum(n20,n1))
| ~ spl2_7
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8792,f358]) ).
fof(f8792,plain,
( sum(sum(n11,n1),sum(pred(n0),n13)) != sum(n3,sum(pred(n0),n1))
| ~ spl2_7
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8791,f192]) ).
fof(f8791,plain,
( sum(sum(n11,succ(n0)),sum(pred(n0),n13)) != sum(n3,sum(pred(n0),succ(n0)))
| ~ spl2_7
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8479,f727]) ).
fof(f8770,plain,
( ~ spl2_1
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f8769]) ).
fof(f8769,plain,
( $false
| ~ spl2_1
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f8768]) ).
fof(f8768,plain,
( n9 != n9
| ~ spl2_1
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8767,f46]) ).
fof(f46,plain,
n9 = sum(n3,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f8767,plain,
( n9 != sum(n3,n6)
| ~ spl2_1
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8766,f318]) ).
fof(f8766,plain,
( sum(n3,n6) != sum(n15,n15)
| ~ spl2_1
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8765,f491]) ).
fof(f8765,plain,
( sum(n3,n6) != sum(sum(n11,n4),n15)
| ~ spl2_1
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8764,f533]) ).
fof(f8764,plain,
( sum(sum(n11,n4),n15) != sum(n3,sum(n2,n4))
| ~ spl2_1
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8763,f447]) ).
fof(f8763,plain,
( sum(n3,sum(n2,succ(n3))) != sum(sum(n11,succ(n3)),n15)
| ~ spl2_1
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8762,f45]) ).
fof(f8762,plain,
( sum(n3,sum(n2,succ(n3))) != sum(sum(n11,succ(n3)),sum(n2,n13))
| ~ spl2_1
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8761,f174]) ).
fof(f8761,plain,
( sum(n3,sum(pred(n3),succ(n3))) != sum(sum(n11,succ(n3)),sum(pred(n3),n13))
| ~ spl2_1
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8479,f703]) ).
fof(f8741,plain,
( ~ spl2_4
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f8740]) ).
fof(f8740,plain,
( $false
| ~ spl2_4
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f8739]) ).
fof(f8739,plain,
( sum(n3,n3) != sum(n3,n3)
| ~ spl2_4
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8738,f125]) ).
fof(f8738,plain,
( sum(n3,sum(n11,n13)) != sum(sum(n11,n13),sum(n11,n13))
| ~ spl2_4
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8737,f347]) ).
fof(f8737,plain,
( sum(n3,sum(pred(n12),n13)) != sum(sum(n11,n13),sum(pred(n12),n13))
| ~ spl2_4
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8736,f278]) ).
fof(f8736,plain,
( sum(sum(n11,succ(n12)),sum(pred(n12),n13)) != sum(n3,sum(pred(n12),succ(n12)))
| ~ spl2_4
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8479,f715]) ).
fof(f8709,plain,
( ~ spl2_10
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f8708]) ).
fof(f8708,plain,
( $false
| ~ spl2_10
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f8707]) ).
fof(f8707,plain,
( n2 != n2
| ~ spl2_10
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8706,f433]) ).
fof(f8706,plain,
( n2 != sum(n1,n1)
| ~ spl2_10
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8705,f556]) ).
fof(f556,plain,
n2 = sum(n3,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f8705,plain,
( sum(n1,n1) != sum(n3,n20)
| ~ spl2_10
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8704,f470]) ).
fof(f8704,plain,
( sum(n3,n20) != sum(sum(n11,n11),n1)
| ~ spl2_10
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8703,f16]) ).
fof(f8703,plain,
( sum(sum(n11,n11),n1) != sum(n3,sum(n9,n11))
| ~ spl2_10
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8702,f114]) ).
fof(f8702,plain,
( sum(sum(n11,succ(n10)),n1) != sum(n3,sum(n9,succ(n10)))
| ~ spl2_10
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8701,f605]) ).
fof(f8701,plain,
( sum(n3,sum(n9,succ(n10))) != sum(sum(n11,succ(n10)),sum(n9,n13))
| ~ spl2_10
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8700,f693]) ).
fof(f8700,plain,
( sum(n3,sum(pred(n10),succ(n10))) != sum(sum(n11,succ(n10)),sum(pred(n10),n13))
| ~ spl2_10
| ~ spl2_24 ),
inference(backward_demodulation,[],[f8479,f739]) ).
fof(f8680,plain,
( ~ spl2_5
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f8679]) ).
fof(f8679,plain,
( $false
| ~ spl2_5
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f8678]) ).
fof(f8678,plain,
( n17 != n17
| ~ spl2_5
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8677,f596]) ).
fof(f596,plain,
n17 = sum(n3,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f8677,plain,
( n17 != sum(n3,n14)
| ~ spl2_5
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8676,f210]) ).
fof(f8676,plain,
( sum(n3,n14) != sum(n19,n19)
| ~ spl2_5
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8675,f632]) ).
fof(f8675,plain,
( sum(n3,n14) != sum(sum(n11,n8),n19)
| ~ spl2_5
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8674,f496]) ).
fof(f8674,plain,
( sum(sum(n11,n8),n19) != sum(n3,sum(n6,n8))
| ~ spl2_5
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8673,f302]) ).
fof(f8673,plain,
( sum(n3,sum(n6,succ(n7))) != sum(sum(n11,succ(n7)),n19)
| ~ spl2_5
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8672,f609]) ).
fof(f8672,plain,
( sum(n3,sum(n6,succ(n7))) != sum(sum(n11,succ(n7)),sum(n6,n13))
| ~ spl2_5
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8671,f519]) ).
fof(f8671,plain,
( sum(n3,sum(pred(n7),succ(n7))) != sum(sum(n11,succ(n7)),sum(pred(n7),n13))
| ~ spl2_5
| ~ spl2_24 ),
inference(backward_demodulation,[],[f8479,f719]) ).
fof(f8649,plain,
( ~ spl2_9
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f8648]) ).
fof(f8648,plain,
( $false
| ~ spl2_9
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f8647]) ).
fof(f8647,plain,
( n19 != n19
| ~ spl2_9
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8646,f224]) ).
fof(f224,plain,
n19 = sum(n3,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f8646,plain,
( n19 != sum(n3,n16)
| ~ spl2_9
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8645,f119]) ).
fof(f8645,plain,
( sum(n3,n16) != sum(n20,n20)
| ~ spl2_9
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8644,f305]) ).
fof(f305,plain,
n20 = sum(n11,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f8644,plain,
( sum(n3,n16) != sum(sum(n11,n9),n20)
| ~ spl2_9
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8643,f297]) ).
fof(f297,plain,
n20 = sum(n7,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f8643,plain,
( sum(n3,n16) != sum(sum(n11,n9),sum(n7,n13))
| ~ spl2_9
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8642,f648]) ).
fof(f8642,plain,
( sum(sum(n11,n9),sum(n7,n13)) != sum(n3,sum(n7,n9))
| ~ spl2_9
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8641,f607]) ).
fof(f8641,plain,
( sum(sum(n11,n9),sum(pred(n8),n13)) != sum(n3,sum(pred(n8),n9))
| ~ spl2_9
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8640,f474]) ).
fof(f8640,plain,
( sum(sum(n11,succ(n8)),sum(pred(n8),n13)) != sum(n3,sum(pred(n8),succ(n8)))
| ~ spl2_9
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8479,f735]) ).
fof(f8627,plain,
( ~ spl2_6
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f8626]) ).
fof(f8626,plain,
( $false
| ~ spl2_6
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f8625]) ).
fof(f8625,plain,
( n4 != n4
| ~ spl2_6
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8624,f489]) ).
fof(f8624,plain,
( n4 != sum(n2,n2)
| ~ spl2_6
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8623,f244]) ).
fof(f244,plain,
n4 = sum(n3,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f8623,plain,
( sum(n2,n2) != sum(n3,n1)
| ~ spl2_6
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8622,f417]) ).
fof(f8622,plain,
( sum(n3,n1) != sum(sum(n11,n12),n2)
| ~ spl2_6
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8621,f51]) ).
fof(f8621,plain,
( sum(n3,n1) != sum(sum(n11,n12),sum(n10,n13))
| ~ spl2_6
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8620,f21]) ).
fof(f8620,plain,
( sum(sum(n11,n12),sum(n10,n13)) != sum(n3,sum(n10,n12))
| ~ spl2_6
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8619,f266]) ).
fof(f8619,plain,
( sum(sum(n11,n12),sum(pred(n11),n13)) != sum(n3,sum(pred(n11),n12))
| ~ spl2_6
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8618,f641]) ).
fof(f8618,plain,
( sum(sum(n11,succ(n11)),sum(pred(n11),n13)) != sum(n3,sum(pred(n11),succ(n11)))
| ~ spl2_6
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8479,f723]) ).
fof(f8583,plain,
( ~ spl2_14
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f8582]) ).
fof(f8582,plain,
( $false
| ~ spl2_14
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f8581]) ).
fof(f8581,plain,
( n15 != n15
| ~ spl2_14
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8580,f516]) ).
fof(f516,plain,
n15 = sum(n3,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f8580,plain,
( n15 != sum(n3,n12)
| ~ spl2_14
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8579,f679]) ).
fof(f8579,plain,
( sum(n3,n12) != sum(n18,n18)
| ~ spl2_14
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8578,f71]) ).
fof(f8578,plain,
( sum(n3,n12) != sum(sum(n11,n7),n18)
| ~ spl2_14
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8577,f511]) ).
fof(f8577,plain,
( sum(sum(n11,n7),n18) != sum(n3,sum(n5,n7))
| ~ spl2_14
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8576,f534]) ).
fof(f8576,plain,
( sum(n3,sum(n5,n7)) != sum(sum(n11,n7),sum(n5,n13))
| ~ spl2_14
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8575,f530]) ).
fof(f8575,plain,
( sum(sum(n11,n7),sum(pred(n6),n13)) != sum(n3,sum(pred(n6),n7))
| ~ spl2_14
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8574,f457]) ).
fof(f8574,plain,
( sum(sum(n11,succ(n6)),sum(pred(n6),n13)) != sum(n3,sum(pred(n6),succ(n6)))
| ~ spl2_14
| ~ spl2_24 ),
inference(backward_demodulation,[],[f8479,f755]) ).
fof(f8567,plain,
( ~ spl2_3
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f8566]) ).
fof(f8566,plain,
( $false
| ~ spl2_3
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f8565]) ).
fof(f8565,plain,
( n8 != n8
| ~ spl2_3
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8564,f670]) ).
fof(f670,plain,
n8 = sum(n3,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f8564,plain,
( n8 != sum(n3,n5)
| ~ spl2_3
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8563,f157]) ).
fof(f8563,plain,
( sum(n3,n5) != sum(n4,n4)
| ~ spl2_3
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8562,f460]) ).
fof(f460,plain,
n4 = sum(n11,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f8562,plain,
( sum(n3,n5) != sum(sum(n11,n14),n4)
| ~ spl2_3
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8561,f610]) ).
fof(f8561,plain,
( sum(sum(n11,n14),n4) != sum(n3,sum(n12,n14))
| ~ spl2_3
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8560,f502]) ).
fof(f8560,plain,
( sum(sum(n11,succ(n13)),n4) != sum(n3,sum(n12,succ(n13)))
| ~ spl2_3
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8559,f371]) ).
fof(f371,plain,
n4 = sum(n12,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f8559,plain,
( sum(n3,sum(n12,succ(n13))) != sum(sum(n11,succ(n13)),sum(n12,n13))
| ~ spl2_3
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8558,f225]) ).
fof(f8558,plain,
( sum(n3,sum(pred(n13),succ(n13))) != sum(sum(n11,succ(n13)),sum(pred(n13),n13))
| ~ spl2_3
| ~ spl2_24 ),
inference(backward_demodulation,[],[f8479,f711]) ).
fof(f8532,plain,
( ~ spl2_13
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f8531]) ).
fof(f8531,plain,
( $false
| ~ spl2_13
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f8530]) ).
fof(f8530,plain,
( n13 != n13
| ~ spl2_13
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8529,f245]) ).
fof(f245,plain,
n13 = sum(n3,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f8529,plain,
( n13 != sum(n3,n10)
| ~ spl2_13
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8528,f106]) ).
fof(f8528,plain,
( sum(n3,n10) != sum(n17,n17)
| ~ spl2_13
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8527,f464]) ).
fof(f8527,plain,
( sum(n17,n17) != sum(n3,sum(n4,n6))
| ~ spl2_13
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8526,f672]) ).
fof(f8526,plain,
( sum(n3,sum(n4,n6)) != sum(sum(n11,n6),n17)
| ~ spl2_13
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8525,f576]) ).
fof(f8525,plain,
( sum(n3,sum(n4,n6)) != sum(sum(n11,n6),sum(n4,n13))
| ~ spl2_13
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8524,f126]) ).
fof(f8524,plain,
( sum(n3,sum(pred(n5),n6)) != sum(sum(n11,n6),sum(pred(n5),n13))
| ~ spl2_13
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8523,f692]) ).
fof(f8523,plain,
( sum(sum(n11,succ(n5)),sum(pred(n5),n13)) != sum(n3,sum(pred(n5),succ(n5)))
| ~ spl2_13
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8479,f751]) ).
fof(f8504,plain,
( ~ spl2_8
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f8503]) ).
fof(f8503,plain,
( $false
| ~ spl2_8
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f8502]) ).
fof(f8502,plain,
( n1 != n1
| ~ spl2_8
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8501,f441]) ).
fof(f441,plain,
n1 = sum(n3,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f8501,plain,
( n1 != sum(n3,n19)
| ~ spl2_8
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8500,f470]) ).
fof(f8500,plain,
( sum(n3,n19) != sum(n11,n11)
| ~ spl2_8
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8499,f206]) ).
fof(f8499,plain,
( sum(n3,n19) != sum(sum(n11,n0),n11)
| ~ spl2_8
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8498,f323]) ).
fof(f8498,plain,
( sum(sum(n11,n0),n11) != sum(n3,sum(n19,n0))
| ~ spl2_8
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8497,f580]) ).
fof(f8497,plain,
( sum(n3,sum(n19,succ(n20))) != sum(sum(n11,succ(n20)),n11)
| ~ spl2_8
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8496,f499]) ).
fof(f8496,plain,
( sum(n3,sum(n19,succ(n20))) != sum(sum(n11,succ(n20)),sum(n19,n13))
| ~ spl2_8
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8495,f214]) ).
fof(f8495,plain,
( sum(n3,sum(pred(n20),succ(n20))) != sum(sum(n11,succ(n20)),sum(pred(n20),n13))
| ~ spl2_8
| ~ spl2_24 ),
inference(backward_demodulation,[],[f8479,f731]) ).
fof(f8471,plain,
( ~ spl2_11
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f8470]) ).
fof(f8470,plain,
( $false
| ~ spl2_11
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f8469]) ).
fof(f8469,plain,
( n14 != n14
| ~ spl2_11
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8468,f191]) ).
fof(f191,plain,
n14 = sum(n3,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f8468,plain,
( n14 != sum(n3,n11)
| ~ spl2_11
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8467,f395]) ).
fof(f8467,plain,
( sum(n3,n11) != sum(n7,n7)
| ~ spl2_11
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8466,f472]) ).
fof(f472,plain,
n7 = sum(n11,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f8466,plain,
( sum(n3,n11) != sum(sum(n11,n17),n7)
| ~ spl2_11
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8465,f125]) ).
fof(f8465,plain,
( sum(sum(n11,n17),n7) != sum(sum(n11,n13),n11)
| ~ spl2_11
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8464,f347]) ).
fof(f8464,plain,
( sum(sum(pred(n12),n17),n7) != sum(sum(pred(n12),n13),n11)
| ~ spl2_11
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8463,f120]) ).
fof(f120,plain,
n7 = sum(n15,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f8463,plain,
( sum(sum(pred(n12),n13),n11) != sum(sum(pred(n12),n17),sum(n15,n13))
| ~ spl2_11
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8462,f278]) ).
fof(f8462,plain,
( sum(sum(pred(n12),succ(n12)),n11) != sum(sum(pred(n12),n17),sum(n15,succ(n12)))
| ~ spl2_11
| ~ spl2_24 ),
inference(backward_demodulation,[],[f8437,f796]) ).
fof(f8437,plain,
( sum(sum(pred(sK0),succ(sK0)),n11) != sum(sum(pred(sK0),n17),sum(n15,succ(sK0)))
| ~ spl2_11 ),
inference(forward_demodulation,[],[f8436,f383]) ).
fof(f8436,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(n15,n17)) != sum(sum(pred(sK0),n17),sum(n15,succ(sK0)))
| ~ spl2_11 ),
inference(forward_demodulation,[],[f8435,f233]) ).
fof(f8435,plain,
( sum(sum(pred(sK0),succ(n16)),sum(n15,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n15,succ(n16)))
| ~ spl2_11 ),
inference(forward_demodulation,[],[f8434,f418]) ).
fof(f8434,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n16),succ(n16))) != sum(sum(pred(sK0),succ(n16)),sum(pred(n16),succ(sK0)))
| ~ spl2_11 ),
inference(forward_demodulation,[],[f346,f743]) ).
fof(f8422,plain,
( ~ spl2_15
| ~ spl2_26 ),
inference(avatar_contradiction_clause,[],[f8421]) ).
fof(f8421,plain,
( $false
| ~ spl2_15
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f8420]) ).
fof(f8420,plain,
( n13 != n13
| ~ spl2_15
| ~ spl2_26 ),
inference(forward_demodulation,[],[f8419,f106]) ).
fof(f8419,plain,
( n13 != sum(n17,n17)
| ~ spl2_15
| ~ spl2_26 ),
inference(forward_demodulation,[],[f8418,f115]) ).
fof(f115,plain,
n13 = sum(n19,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f8418,plain,
( sum(n17,n17) != sum(n19,n15)
| ~ spl2_15
| ~ spl2_26 ),
inference(forward_demodulation,[],[f8417,f323]) ).
fof(f8417,plain,
( sum(n17,n17) != sum(sum(n19,n0),n15)
| ~ spl2_15
| ~ spl2_26 ),
inference(forward_demodulation,[],[f8416,f210]) ).
fof(f8416,plain,
( sum(sum(n19,n0),n15) != sum(sum(n19,n19),n17)
| ~ spl2_15
| ~ spl2_26 ),
inference(forward_demodulation,[],[f8415,f214]) ).
fof(f8415,plain,
( sum(sum(pred(n20),n0),n15) != sum(sum(pred(n20),n19),n17)
| ~ spl2_15
| ~ spl2_26 ),
inference(forward_demodulation,[],[f8414,f281]) ).
fof(f8414,plain,
( sum(sum(pred(n20),n0),n15) != sum(sum(pred(n20),n19),sum(n17,n0))
| ~ spl2_15
| ~ spl2_26 ),
inference(forward_demodulation,[],[f8413,f580]) ).
fof(f8413,plain,
( sum(sum(pred(n20),n19),sum(n17,succ(n20))) != sum(sum(pred(n20),succ(n20)),n15)
| ~ spl2_15
| ~ spl2_26 ),
inference(backward_demodulation,[],[f8010,f804]) ).
fof(f8010,plain,
( sum(sum(pred(sK0),succ(sK0)),n15) != sum(sum(pred(sK0),n19),sum(n17,succ(sK0)))
| ~ spl2_15 ),
inference(forward_demodulation,[],[f8009,f402]) ).
fof(f8009,plain,
( sum(sum(pred(sK0),n19),sum(n17,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n17,n19))
| ~ spl2_15 ),
inference(forward_demodulation,[],[f8008,f40]) ).
fof(f8008,plain,
( sum(sum(pred(sK0),succ(n18)),sum(n17,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n17,succ(n18)))
| ~ spl2_15 ),
inference(forward_demodulation,[],[f7991,f651]) ).
fof(f7991,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n18),succ(n18))) != sum(sum(pred(sK0),succ(n18)),sum(pred(n18),succ(sK0)))
| ~ spl2_15 ),
inference(backward_demodulation,[],[f346,f759]) ).
fof(f759,plain,
( n18 = sK1
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f757,plain,
( spl2_15
<=> n18 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).
fof(f8390,plain,
( ~ spl2_15
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f8389]) ).
fof(f8389,plain,
( $false
| ~ spl2_15
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f8388]) ).
fof(f8388,plain,
( n14 != n14
| ~ spl2_15
| ~ spl2_42 ),
inference(forward_demodulation,[],[f8387,f395]) ).
fof(f8387,plain,
( n14 != sum(n7,n7)
| ~ spl2_15
| ~ spl2_42 ),
inference(forward_demodulation,[],[f8386,f355]) ).
fof(f355,plain,
n14 = sum(n20,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f8386,plain,
( sum(n7,n7) != sum(n20,n15)
| ~ spl2_15
| ~ spl2_42 ),
inference(forward_demodulation,[],[f8385,f16]) ).
fof(f8385,plain,
( sum(n7,n7) != sum(sum(n9,n11),n15)
| ~ spl2_15
| ~ spl2_42 ),
inference(forward_demodulation,[],[f8384,f521]) ).
fof(f8384,plain,
( sum(sum(n9,n11),n15) != sum(sum(n9,n19),n7)
| ~ spl2_15
| ~ spl2_42 ),
inference(forward_demodulation,[],[f8383,f693]) ).
fof(f8383,plain,
( sum(sum(pred(n10),n19),n7) != sum(sum(pred(n10),n11),n15)
| ~ spl2_15
| ~ spl2_42 ),
inference(forward_demodulation,[],[f8382,f595]) ).
fof(f8382,plain,
( sum(sum(pred(n10),n11),n15) != sum(sum(pred(n10),n19),sum(n17,n11))
| ~ spl2_15
| ~ spl2_42 ),
inference(forward_demodulation,[],[f8381,f114]) ).
fof(f8381,plain,
( sum(sum(pred(n10),n19),sum(n17,succ(n10))) != sum(sum(pred(n10),succ(n10)),n15)
| ~ spl2_15
| ~ spl2_42 ),
inference(backward_demodulation,[],[f8010,f868]) ).
fof(f8354,plain,
( ~ spl2_15
| ~ spl2_32 ),
inference(avatar_contradiction_clause,[],[f8353]) ).
fof(f8353,plain,
( $false
| ~ spl2_15
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f8352]) ).
fof(f8352,plain,
( n4 != n4
| ~ spl2_15
| ~ spl2_32 ),
inference(forward_demodulation,[],[f8351,f489]) ).
fof(f8351,plain,
( n4 != sum(n2,n2)
| ~ spl2_15
| ~ spl2_32 ),
inference(forward_demodulation,[],[f8350,f330]) ).
fof(f330,plain,
n4 = sum(n10,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f8350,plain,
( sum(n2,n2) != sum(n10,n15)
| ~ spl2_15
| ~ spl2_32 ),
inference(forward_demodulation,[],[f8349,f259]) ).
fof(f8349,plain,
( sum(n10,n15) != sum(sum(n4,n19),n2)
| ~ spl2_15
| ~ spl2_32 ),
inference(forward_demodulation,[],[f8348,f464]) ).
fof(f8348,plain,
( sum(sum(n4,n19),n2) != sum(sum(n4,n6),n15)
| ~ spl2_15
| ~ spl2_32 ),
inference(forward_demodulation,[],[f8347,f198]) ).
fof(f8347,plain,
( sum(sum(n4,n6),n15) != sum(sum(n4,n19),sum(n17,n6))
| ~ spl2_15
| ~ spl2_32 ),
inference(forward_demodulation,[],[f8346,f126]) ).
fof(f8346,plain,
( sum(sum(pred(n5),n19),sum(n17,n6)) != sum(sum(pred(n5),n6),n15)
| ~ spl2_15
| ~ spl2_32 ),
inference(forward_demodulation,[],[f8345,f692]) ).
fof(f8345,plain,
( sum(sum(pred(n5),n19),sum(n17,succ(n5))) != sum(sum(pred(n5),succ(n5)),n15)
| ~ spl2_15
| ~ spl2_32 ),
inference(backward_demodulation,[],[f8010,f828]) ).
fof(f8330,plain,
( ~ spl2_15
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f8329]) ).
fof(f8329,plain,
( $false
| ~ spl2_15
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f8328]) ).
fof(f8328,plain,
( n6 != n6
| ~ spl2_15
| ~ spl2_28 ),
inference(forward_demodulation,[],[f8327,f419]) ).
fof(f8327,plain,
( n6 != sum(n3,n3)
| ~ spl2_15
| ~ spl2_28 ),
inference(forward_demodulation,[],[f8326,f65]) ).
fof(f65,plain,
n6 = sum(n12,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f8326,plain,
( sum(n3,n3) != sum(n12,n15)
| ~ spl2_15
| ~ spl2_28 ),
inference(forward_demodulation,[],[f8325,f553]) ).
fof(f8325,plain,
( sum(n12,n15) != sum(sum(n5,n19),n3)
| ~ spl2_15
| ~ spl2_28 ),
inference(forward_demodulation,[],[f8324,f511]) ).
fof(f8324,plain,
( sum(sum(n5,n19),n3) != sum(sum(n5,n7),n15)
| ~ spl2_15
| ~ spl2_28 ),
inference(forward_demodulation,[],[f8323,f501]) ).
fof(f8323,plain,
( sum(sum(n5,n7),n15) != sum(sum(n5,n19),sum(n17,n7))
| ~ spl2_15
| ~ spl2_28 ),
inference(forward_demodulation,[],[f8322,f530]) ).
fof(f8322,plain,
( sum(sum(pred(n6),n19),sum(n17,n7)) != sum(sum(pred(n6),n7),n15)
| ~ spl2_15
| ~ spl2_28 ),
inference(forward_demodulation,[],[f8321,f457]) ).
fof(f8321,plain,
( sum(sum(pred(n6),n19),sum(n17,succ(n6))) != sum(sum(pred(n6),succ(n6)),n15)
| ~ spl2_15
| ~ spl2_28 ),
inference(forward_demodulation,[],[f8010,f812]) ).
fof(f8293,plain,
( ~ spl2_15
| ~ spl2_25 ),
inference(avatar_contradiction_clause,[],[f8292]) ).
fof(f8292,plain,
( $false
| ~ spl2_15
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f8291]) ).
fof(f8291,plain,
( n3 != n3
| ~ spl2_15
| ~ spl2_25 ),
inference(forward_demodulation,[],[f8290,f426]) ).
fof(f426,plain,
n3 = sum(n9,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f8290,plain,
( n3 != sum(n9,n15)
| ~ spl2_15
| ~ spl2_25 ),
inference(forward_demodulation,[],[f8289,f546]) ).
fof(f8289,plain,
( sum(n9,n15) != sum(n12,n12)
| ~ spl2_15
| ~ spl2_25 ),
inference(forward_demodulation,[],[f8288,f220]) ).
fof(f8288,plain,
( sum(n9,n15) != sum(sum(n14,n19),n12)
| ~ spl2_15
| ~ spl2_25 ),
inference(forward_demodulation,[],[f8287,f486]) ).
fof(f8287,plain,
( sum(sum(n14,n19),n12) != sum(sum(n14,n16),n15)
| ~ spl2_15
| ~ spl2_25 ),
inference(forward_demodulation,[],[f8286,f562]) ).
fof(f8286,plain,
( sum(sum(pred(n15),n16),n15) != sum(sum(pred(n15),n19),n12)
| ~ spl2_15
| ~ spl2_25 ),
inference(forward_demodulation,[],[f8285,f537]) ).
fof(f537,plain,
n12 = sum(n17,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f8285,plain,
( sum(sum(pred(n15),n16),n15) != sum(sum(pred(n15),n19),sum(n17,n16))
| ~ spl2_15
| ~ spl2_25 ),
inference(forward_demodulation,[],[f8284,f37]) ).
fof(f8284,plain,
( sum(sum(pred(n15),succ(n15)),n15) != sum(sum(pred(n15),n19),sum(n17,succ(n15)))
| ~ spl2_15
| ~ spl2_25 ),
inference(forward_demodulation,[],[f8010,f800]) ).
fof(f8270,plain,
( ~ spl2_15
| ~ spl2_23 ),
inference(avatar_contradiction_clause,[],[f8269]) ).
fof(f8269,plain,
( $false
| ~ spl2_15
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f8268]) ).
fof(f8268,plain,
( n19 != n19
| ~ spl2_15
| ~ spl2_23 ),
inference(forward_demodulation,[],[f8267,f403]) ).
fof(f403,plain,
n19 = sum(n4,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f8267,plain,
( n19 != sum(n4,n15)
| ~ spl2_15
| ~ spl2_23 ),
inference(forward_demodulation,[],[f8266,f119]) ).
fof(f8266,plain,
( sum(n4,n15) != sum(n20,n20)
| ~ spl2_15
| ~ spl2_23 ),
inference(forward_demodulation,[],[f8265,f68]) ).
fof(f8265,plain,
( sum(n4,n15) != sum(sum(n1,n19),n20)
| ~ spl2_15
| ~ spl2_23 ),
inference(forward_demodulation,[],[f8264,f141]) ).
fof(f8264,plain,
( sum(sum(n1,n19),n20) != sum(sum(n1,n3),n15)
| ~ spl2_15
| ~ spl2_23 ),
inference(forward_demodulation,[],[f8263,f591]) ).
fof(f591,plain,
n20 = sum(n17,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f8263,plain,
( sum(sum(n1,n3),n15) != sum(sum(n1,n19),sum(n17,n3))
| ~ spl2_15
| ~ spl2_23 ),
inference(forward_demodulation,[],[f8262,f231]) ).
fof(f8262,plain,
( sum(sum(pred(n2),n19),sum(n17,n3)) != sum(sum(pred(n2),n3),n15)
| ~ spl2_15
| ~ spl2_23 ),
inference(forward_demodulation,[],[f8261,f184]) ).
fof(f8261,plain,
( sum(sum(pred(n2),succ(n2)),n15) != sum(sum(pred(n2),n19),sum(n17,succ(n2)))
| ~ spl2_15
| ~ spl2_23 ),
inference(forward_demodulation,[],[f8010,f792]) ).
fof(f8240,plain,
( ~ spl2_15
| ~ spl2_27 ),
inference(avatar_contradiction_clause,[],[f8239]) ).
fof(f8239,plain,
( $false
| ~ spl2_15
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f8238]) ).
fof(f8238,plain,
( n16 != n16
| ~ spl2_15
| ~ spl2_27 ),
inference(forward_demodulation,[],[f8237,f626]) ).
fof(f626,plain,
n16 = sum(n1,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f8237,plain,
( n16 != sum(n1,n15)
| ~ spl2_15
| ~ spl2_27 ),
inference(forward_demodulation,[],[f8236,f177]) ).
fof(f8236,plain,
( sum(n1,n15) != sum(n8,n8)
| ~ spl2_15
| ~ spl2_27 ),
inference(forward_demodulation,[],[f8235,f10]) ).
fof(f8235,plain,
( sum(n1,n15) != sum(sum(n10,n19),n8)
| ~ spl2_15
| ~ spl2_27 ),
inference(forward_demodulation,[],[f8234,f21]) ).
fof(f8234,plain,
( sum(sum(n10,n19),n8) != sum(sum(n10,n12),n15)
| ~ spl2_15
| ~ spl2_27 ),
inference(forward_demodulation,[],[f8233,f81]) ).
fof(f8233,plain,
( sum(sum(n10,n12),n15) != sum(sum(n10,n19),sum(n17,n12))
| ~ spl2_15
| ~ spl2_27 ),
inference(forward_demodulation,[],[f8232,f266]) ).
fof(f8232,plain,
( sum(sum(pred(n11),n19),sum(n17,n12)) != sum(sum(pred(n11),n12),n15)
| ~ spl2_15
| ~ spl2_27 ),
inference(forward_demodulation,[],[f8231,f641]) ).
fof(f8231,plain,
( sum(sum(pred(n11),n19),sum(n17,succ(n11))) != sum(sum(pred(n11),succ(n11)),n15)
| ~ spl2_15
| ~ spl2_27 ),
inference(backward_demodulation,[],[f8010,f808]) ).
fof(f8213,plain,
( ~ spl2_15
| ~ spl2_40 ),
inference(avatar_contradiction_clause,[],[f8212]) ).
fof(f8212,plain,
( $false
| ~ spl2_15
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f8211]) ).
fof(f8211,plain,
( sum(n15,n15) != sum(n15,n15)
| ~ spl2_15
| ~ spl2_40 ),
inference(forward_demodulation,[],[f8210,f402]) ).
fof(f8210,plain,
( sum(sum(n17,n19),sum(n17,n19)) != sum(sum(n17,n19),n15)
| ~ spl2_15
| ~ spl2_40 ),
inference(forward_demodulation,[],[f8209,f651]) ).
fof(f8209,plain,
( sum(sum(pred(n18),n19),sum(n17,n19)) != sum(sum(pred(n18),n19),n15)
| ~ spl2_15
| ~ spl2_40 ),
inference(forward_demodulation,[],[f8208,f40]) ).
fof(f8208,plain,
( sum(sum(pred(n18),n19),sum(n17,succ(n18))) != sum(sum(pred(n18),succ(n18)),n15)
| ~ spl2_15
| ~ spl2_40 ),
inference(backward_demodulation,[],[f8010,f860]) ).
fof(f8179,plain,
( ~ spl2_15
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f8178]) ).
fof(f8178,plain,
( $false
| ~ spl2_15
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f8177]) ).
fof(f8177,plain,
( n18 != n18
| ~ spl2_15
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8176,f617]) ).
fof(f617,plain,
n18 = sum(n3,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f8176,plain,
( n18 != sum(n3,n15)
| ~ spl2_15
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8175,f357]) ).
fof(f8175,plain,
( sum(n3,n15) != sum(n9,n9)
| ~ spl2_15
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8174,f4]) ).
fof(f8174,plain,
( sum(n3,n15) != sum(sum(n11,n19),n9)
| ~ spl2_15
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8173,f125]) ).
fof(f8173,plain,
( sum(sum(n11,n19),n9) != sum(sum(n11,n13),n15)
| ~ spl2_15
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8172,f347]) ).
fof(f8172,plain,
( sum(sum(pred(n12),n13),n15) != sum(sum(pred(n12),n19),n9)
| ~ spl2_15
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8171,f139]) ).
fof(f8171,plain,
( sum(sum(pred(n12),n13),n15) != sum(sum(pred(n12),n19),sum(n17,n13))
| ~ spl2_15
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8170,f278]) ).
fof(f8170,plain,
( sum(sum(pred(n12),succ(n12)),n15) != sum(sum(pred(n12),n19),sum(n17,succ(n12)))
| ~ spl2_15
| ~ spl2_24 ),
inference(forward_demodulation,[],[f8010,f796]) ).
fof(f8151,plain,
( ~ spl2_15
| ~ spl2_38 ),
inference(avatar_contradiction_clause,[],[f8150]) ).
fof(f8150,plain,
( $false
| ~ spl2_15
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f8149]) ).
fof(f8149,plain,
( n17 != n17
| ~ spl2_15
| ~ spl2_38 ),
inference(forward_demodulation,[],[f8148,f387]) ).
fof(f387,plain,
n17 = sum(n2,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f8148,plain,
( n17 != sum(n2,n15)
| ~ spl2_15
| ~ spl2_38 ),
inference(forward_demodulation,[],[f8147,f210]) ).
fof(f8147,plain,
( sum(n2,n15) != sum(n19,n19)
| ~ spl2_15
| ~ spl2_38 ),
inference(forward_demodulation,[],[f8146,f190]) ).
fof(f8146,plain,
( sum(n19,n19) != sum(sum(n0,n2),n15)
| ~ spl2_15
| ~ spl2_38 ),
inference(forward_demodulation,[],[f8145,f547]) ).
fof(f8145,plain,
( sum(sum(n0,n2),n15) != sum(sum(n0,n19),n19)
| ~ spl2_15
| ~ spl2_38 ),
inference(forward_demodulation,[],[f8144,f659]) ).
fof(f659,plain,
n19 = sum(n17,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f8144,plain,
( sum(sum(n0,n2),n15) != sum(sum(n0,n19),sum(n17,n2))
| ~ spl2_15
| ~ spl2_38 ),
inference(forward_demodulation,[],[f8143,f598]) ).
fof(f8143,plain,
( sum(sum(pred(n1),n19),sum(n17,n2)) != sum(sum(pred(n1),n2),n15)
| ~ spl2_15
| ~ spl2_38 ),
inference(forward_demodulation,[],[f8142,f677]) ).
fof(f8142,plain,
( sum(sum(pred(n1),n19),sum(n17,succ(n1))) != sum(sum(pred(n1),succ(n1)),n15)
| ~ spl2_15
| ~ spl2_38 ),
inference(forward_demodulation,[],[f8010,f852]) ).
fof(f8122,plain,
( ~ spl2_15
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f8121]) ).
fof(f8121,plain,
( $false
| ~ spl2_15
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f8120]) ).
fof(f8120,plain,
( n0 != n0
| ~ spl2_15
| ~ spl2_29 ),
inference(forward_demodulation,[],[f8119,f296]) ).
fof(f8119,plain,
( n0 != sum(n0,n0)
| ~ spl2_15
| ~ spl2_29 ),
inference(forward_demodulation,[],[f8118,f133]) ).
fof(f133,plain,
n0 = sum(n6,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f8118,plain,
( sum(n0,n0) != sum(n6,n15)
| ~ spl2_15
| ~ spl2_29 ),
inference(forward_demodulation,[],[f8117,f533]) ).
fof(f8117,plain,
( sum(n0,n0) != sum(sum(n2,n4),n15)
| ~ spl2_15
| ~ spl2_29 ),
inference(forward_demodulation,[],[f8116,f528]) ).
fof(f8116,plain,
( sum(sum(n2,n4),n15) != sum(sum(n2,n19),n0)
| ~ spl2_15
| ~ spl2_29 ),
inference(forward_demodulation,[],[f8115,f650]) ).
fof(f8115,plain,
( sum(sum(n2,n4),n15) != sum(sum(n2,n19),sum(n17,n4))
| ~ spl2_15
| ~ spl2_29 ),
inference(forward_demodulation,[],[f8114,f174]) ).
fof(f8114,plain,
( sum(sum(pred(n3),n19),sum(n17,n4)) != sum(sum(pred(n3),n4),n15)
| ~ spl2_15
| ~ spl2_29 ),
inference(forward_demodulation,[],[f8113,f447]) ).
fof(f8113,plain,
( sum(sum(pred(n3),succ(n3)),n15) != sum(sum(pred(n3),n19),sum(n17,succ(n3)))
| ~ spl2_15
| ~ spl2_29 ),
inference(forward_demodulation,[],[f8010,f816]) ).
fof(f8090,plain,
( ~ spl2_15
| ~ spl2_36 ),
inference(avatar_contradiction_clause,[],[f8089]) ).
fof(f8089,plain,
( $false
| ~ spl2_15
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f8088]) ).
fof(f8088,plain,
( n12 != n12
| ~ spl2_15
| ~ spl2_36 ),
inference(forward_demodulation,[],[f8087,f316]) ).
fof(f8087,plain,
( n12 != sum(n6,n6)
| ~ spl2_15
| ~ spl2_36 ),
inference(forward_demodulation,[],[f8086,f581]) ).
fof(f581,plain,
n12 = sum(n18,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f8086,plain,
( sum(n6,n6) != sum(n18,n15)
| ~ spl2_15
| ~ spl2_36 ),
inference(forward_demodulation,[],[f8085,f167]) ).
fof(f167,plain,
n6 = sum(n8,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f8085,plain,
( sum(n18,n15) != sum(sum(n8,n19),n6)
| ~ spl2_15
| ~ spl2_36 ),
inference(forward_demodulation,[],[f8084,f391]) ).
fof(f8084,plain,
( sum(sum(n8,n19),n6) != sum(sum(n8,n10),n15)
| ~ spl2_15
| ~ spl2_36 ),
inference(forward_demodulation,[],[f8083,f8]) ).
fof(f8,plain,
n6 = sum(n17,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f8083,plain,
( sum(sum(n8,n10),n15) != sum(sum(n8,n19),sum(n17,n10))
| ~ spl2_15
| ~ spl2_36 ),
inference(forward_demodulation,[],[f8082,f333]) ).
fof(f8082,plain,
( sum(sum(pred(n9),n19),sum(n17,n10)) != sum(sum(pred(n9),n10),n15)
| ~ spl2_15
| ~ spl2_36 ),
inference(forward_demodulation,[],[f8081,f699]) ).
fof(f8081,plain,
( sum(sum(pred(n9),n19),sum(n17,succ(n9))) != sum(sum(pred(n9),succ(n9)),n15)
| ~ spl2_15
| ~ spl2_36 ),
inference(backward_demodulation,[],[f8010,f844]) ).
fof(f8058,plain,
( ~ spl2_15
| ~ spl2_34 ),
inference(avatar_contradiction_clause,[],[f8057]) ).
fof(f8057,plain,
( $false
| ~ spl2_15
| ~ spl2_34 ),
inference(trivial_inequality_removal,[],[f8056]) ).
fof(f8056,plain,
( n15 != n15
| ~ spl2_15
| ~ spl2_34 ),
inference(forward_demodulation,[],[f8055,f23]) ).
fof(f23,plain,
n15 = sum(n0,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f8055,plain,
( n15 != sum(n0,n15)
| ~ spl2_15
| ~ spl2_34 ),
inference(forward_demodulation,[],[f8054,f679]) ).
fof(f8054,plain,
( sum(n0,n15) != sum(n18,n18)
| ~ spl2_15
| ~ spl2_34 ),
inference(forward_demodulation,[],[f8053,f223]) ).
fof(f8053,plain,
( sum(n0,n15) != sum(sum(n20,n19),n18)
| ~ spl2_15
| ~ spl2_34 ),
inference(forward_demodulation,[],[f8052,f510]) ).
fof(f8052,plain,
( sum(sum(n20,n19),n18) != sum(sum(n20,n1),n15)
| ~ spl2_15
| ~ spl2_34 ),
inference(forward_demodulation,[],[f8051,f358]) ).
fof(f8051,plain,
( sum(sum(pred(n0),n1),n15) != sum(sum(pred(n0),n19),n18)
| ~ spl2_15
| ~ spl2_34 ),
inference(forward_demodulation,[],[f8050,f137]) ).
fof(f8050,plain,
( sum(sum(pred(n0),n1),n15) != sum(sum(pred(n0),n19),sum(n17,n1))
| ~ spl2_15
| ~ spl2_34 ),
inference(forward_demodulation,[],[f8049,f192]) ).
fof(f8049,plain,
( sum(sum(pred(n0),succ(n0)),n15) != sum(sum(pred(n0),n19),sum(n17,succ(n0)))
| ~ spl2_15
| ~ spl2_34 ),
inference(forward_demodulation,[],[f8010,f836]) ).
fof(f8042,plain,
( ~ spl2_15
| ~ spl2_30 ),
inference(avatar_contradiction_clause,[],[f8041]) ).
fof(f8041,plain,
( $false
| ~ spl2_15
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f8040]) ).
fof(f8040,plain,
( n8 != n8
| ~ spl2_15
| ~ spl2_30 ),
inference(forward_demodulation,[],[f8039,f157]) ).
fof(f8039,plain,
( n8 != sum(n4,n4)
| ~ spl2_15
| ~ spl2_30 ),
inference(forward_demodulation,[],[f8038,f93]) ).
fof(f93,plain,
n8 = sum(n14,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f8038,plain,
( sum(n4,n4) != sum(n14,n15)
| ~ spl2_15
| ~ spl2_30 ),
inference(forward_demodulation,[],[f8037,f246]) ).
fof(f8037,plain,
( sum(n14,n15) != sum(sum(n6,n19),n4)
| ~ spl2_15
| ~ spl2_30 ),
inference(forward_demodulation,[],[f8036,f496]) ).
fof(f8036,plain,
( sum(sum(n6,n19),n4) != sum(sum(n6,n8),n15)
| ~ spl2_15
| ~ spl2_30 ),
inference(forward_demodulation,[],[f8035,f519]) ).
fof(f8035,plain,
( sum(sum(pred(n7),n8),n15) != sum(sum(pred(n7),n19),n4)
| ~ spl2_15
| ~ spl2_30 ),
inference(forward_demodulation,[],[f8034,f453]) ).
fof(f8034,plain,
( sum(sum(pred(n7),n8),n15) != sum(sum(pred(n7),n19),sum(n17,n8))
| ~ spl2_15
| ~ spl2_30 ),
inference(forward_demodulation,[],[f8033,f302]) ).
fof(f8033,plain,
( sum(sum(pred(n7),succ(n7)),n15) != sum(sum(pred(n7),n19),sum(n17,succ(n7)))
| ~ spl2_15
| ~ spl2_30 ),
inference(backward_demodulation,[],[f8010,f820]) ).
fof(f7988,plain,
( ~ spl2_3
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f7987]) ).
fof(f7987,plain,
( $false
| ~ spl2_3
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f7986]) ).
fof(f7986,plain,
( n0 != n0
| ~ spl2_3
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7985,f296]) ).
fof(f7985,plain,
( n0 != sum(n0,n0)
| ~ spl2_3
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7984,f438]) ).
fof(f438,plain,
n0 = sum(n16,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f7984,plain,
( sum(n0,n0) != sum(n16,n5)
| ~ spl2_3
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7983,f610]) ).
fof(f7983,plain,
( sum(n0,n0) != sum(n16,sum(n12,n14))
| ~ spl2_3
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7982,f345]) ).
fof(f345,plain,
n0 = sum(n7,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f7982,plain,
( sum(n16,sum(n12,n14)) != sum(sum(n7,n14),n0)
| ~ spl2_3
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7981,f502]) ).
fof(f7981,plain,
( sum(sum(n7,succ(n13)),n0) != sum(n16,sum(n12,succ(n13)))
| ~ spl2_3
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7980,f334]) ).
fof(f334,plain,
n0 = sum(n12,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f7980,plain,
( sum(n16,sum(n12,succ(n13))) != sum(sum(n7,succ(n13)),sum(n12,n9))
| ~ spl2_3
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7979,f225]) ).
fof(f7979,plain,
( sum(n16,sum(pred(n13),succ(n13))) != sum(sum(n7,succ(n13)),sum(pred(n13),n9))
| ~ spl2_3
| ~ spl2_22 ),
inference(backward_demodulation,[],[f7573,f711]) ).
fof(f7573,plain,
( sum(sum(n7,succ(sK1)),sum(pred(sK1),n9)) != sum(n16,sum(pred(sK1),succ(sK1)))
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7572,f648]) ).
fof(f7572,plain,
( sum(sum(n7,n9),sum(pred(sK1),succ(sK1))) != sum(sum(n7,succ(sK1)),sum(pred(sK1),n9))
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7571,f607]) ).
fof(f7571,plain,
( sum(sum(pred(n8),n9),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n8),succ(sK1)),sum(pred(sK1),n9))
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7570,f474]) ).
fof(f7570,plain,
( sum(sum(pred(n8),succ(n8)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n8),succ(sK1)),sum(pred(sK1),succ(n8)))
| ~ spl2_22 ),
inference(forward_demodulation,[],[f346,f788]) ).
fof(f788,plain,
( n8 = sK0
| ~ spl2_22 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f786,plain,
( spl2_22
<=> n8 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_22])]) ).
fof(f7943,plain,
( ~ spl2_13
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f7942]) ).
fof(f7942,plain,
( $false
| ~ spl2_13
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f7941]) ).
fof(f7941,plain,
( n5 != n5
| ~ spl2_13
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7940,f66]) ).
fof(f7940,plain,
( n5 != sum(n13,n13)
| ~ spl2_13
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7939,f327]) ).
fof(f327,plain,
n5 = sum(n16,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f7939,plain,
( sum(n13,n13) != sum(n16,n10)
| ~ spl2_13
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7938,f619]) ).
fof(f7938,plain,
( sum(n16,n10) != sum(sum(n7,n6),n13)
| ~ spl2_13
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7937,f421]) ).
fof(f7937,plain,
( sum(n16,n10) != sum(sum(n7,n6),sum(n4,n9))
| ~ spl2_13
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7936,f464]) ).
fof(f7936,plain,
( sum(sum(n7,n6),sum(n4,n9)) != sum(n16,sum(n4,n6))
| ~ spl2_13
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7935,f126]) ).
fof(f7935,plain,
( sum(n16,sum(pred(n5),n6)) != sum(sum(n7,n6),sum(pred(n5),n9))
| ~ spl2_13
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7934,f692]) ).
fof(f7934,plain,
( sum(sum(n7,succ(n5)),sum(pred(n5),n9)) != sum(n16,sum(pred(n5),succ(n5)))
| ~ spl2_13
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7573,f751]) ).
fof(f7924,plain,
( ~ spl2_4
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f7923]) ).
fof(f7923,plain,
( $false
| ~ spl2_4
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f7922]) ).
fof(f7922,plain,
( n19 != n19
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7921,f382]) ).
fof(f382,plain,
n19 = sum(n16,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f7921,plain,
( n19 != sum(n16,n3)
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7920,f119]) ).
fof(f7920,plain,
( sum(n16,n3) != sum(n20,n20)
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7919,f297]) ).
fof(f7919,plain,
( sum(n16,n3) != sum(sum(n7,n13),n20)
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7918,f305]) ).
fof(f7918,plain,
( sum(n16,n3) != sum(sum(n7,n13),sum(n11,n9))
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7917,f125]) ).
fof(f7917,plain,
( sum(sum(n7,n13),sum(n11,n9)) != sum(n16,sum(n11,n13))
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7916,f347]) ).
fof(f7916,plain,
( sum(sum(n7,n13),sum(pred(n12),n9)) != sum(n16,sum(pred(n12),n13))
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7915,f278]) ).
fof(f7915,plain,
( sum(sum(n7,succ(n12)),sum(pred(n12),n9)) != sum(n16,sum(pred(n12),succ(n12)))
| ~ spl2_4
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7573,f715]) ).
fof(f7897,plain,
( ~ spl2_10
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f7896]) ).
fof(f7896,plain,
( $false
| ~ spl2_10
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f7895]) ).
fof(f7895,plain,
( n15 != n15
| ~ spl2_10
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7894,f335]) ).
fof(f335,plain,
n15 = sum(n16,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f7894,plain,
( n15 != sum(n16,n20)
| ~ spl2_10
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7893,f679]) ).
fof(f7893,plain,
( sum(n16,n20) != sum(n18,n18)
| ~ spl2_10
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7892,f19]) ).
fof(f7892,plain,
( sum(n16,n20) != sum(sum(n7,n11),n18)
| ~ spl2_10
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7891,f357]) ).
fof(f7891,plain,
( sum(n16,n20) != sum(sum(n7,n11),sum(n9,n9))
| ~ spl2_10
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7890,f16]) ).
fof(f7890,plain,
( sum(sum(n7,n11),sum(n9,n9)) != sum(n16,sum(n9,n11))
| ~ spl2_10
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7889,f693]) ).
fof(f7889,plain,
( sum(sum(n7,n11),sum(pred(n10),n9)) != sum(n16,sum(pred(n10),n11))
| ~ spl2_10
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7888,f114]) ).
fof(f7888,plain,
( sum(sum(n7,succ(n10)),sum(pred(n10),n9)) != sum(n16,sum(pred(n10),succ(n10)))
| ~ spl2_10
| ~ spl2_22 ),
inference(backward_demodulation,[],[f7573,f739]) ).
fof(f7864,plain,
( ~ spl2_7
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f7863]) ).
fof(f7863,plain,
( $false
| ~ spl2_7
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f7862]) ).
fof(f7862,plain,
( n16 != n16
| ~ spl2_7
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7861,f177]) ).
fof(f7861,plain,
( n16 != sum(n8,n8)
| ~ spl2_7
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7860,f154]) ).
fof(f154,plain,
n16 = sum(n16,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f7860,plain,
( sum(n8,n8) != sum(n16,n0)
| ~ spl2_7
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7859,f510]) ).
fof(f7859,plain,
( sum(n8,n8) != sum(n16,sum(n20,n1))
| ~ spl2_7
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7858,f483]) ).
fof(f7858,plain,
( sum(n16,sum(n20,n1)) != sum(sum(n7,n1),n8)
| ~ spl2_7
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7857,f70]) ).
fof(f7857,plain,
( sum(n16,sum(n20,n1)) != sum(sum(n7,n1),sum(n20,n9))
| ~ spl2_7
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7856,f358]) ).
fof(f7856,plain,
( sum(n16,sum(pred(n0),n1)) != sum(sum(n7,n1),sum(pred(n0),n9))
| ~ spl2_7
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7855,f192]) ).
fof(f7855,plain,
( sum(sum(n7,succ(n0)),sum(pred(n0),n9)) != sum(n16,sum(pred(n0),succ(n0)))
| ~ spl2_7
| ~ spl2_22 ),
inference(backward_demodulation,[],[f7573,f727]) ).
fof(f7831,plain,
( ~ spl2_9
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f7830]) ).
fof(f7830,plain,
( $false
| ~ spl2_9
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f7829]) ).
fof(f7829,plain,
( sum(n16,n16) != sum(n16,n16)
| ~ spl2_9
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7828,f648]) ).
fof(f7828,plain,
( sum(n16,sum(n7,n9)) != sum(sum(n7,n9),sum(n7,n9))
| ~ spl2_9
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7827,f474]) ).
fof(f7827,plain,
( sum(sum(n7,succ(n8)),sum(n7,n9)) != sum(n16,sum(n7,succ(n8)))
| ~ spl2_9
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7826,f607]) ).
fof(f7826,plain,
( sum(n16,sum(pred(n8),succ(n8))) != sum(sum(n7,succ(n8)),sum(pred(n8),n9))
| ~ spl2_9
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7573,f735]) ).
fof(f7809,plain,
( ~ spl2_14
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f7808]) ).
fof(f7808,plain,
( $false
| ~ spl2_14
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f7807]) ).
fof(f7807,plain,
( n7 != n7
| ~ spl2_14
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7806,f243]) ).
fof(f7806,plain,
( n7 != sum(n14,n14)
| ~ spl2_14
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7805,f444]) ).
fof(f444,plain,
n7 = sum(n16,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f7805,plain,
( sum(n14,n14) != sum(n16,n12)
| ~ spl2_14
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7804,f511]) ).
fof(f7804,plain,
( sum(n14,n14) != sum(n16,sum(n5,n7))
| ~ spl2_14
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7803,f395]) ).
fof(f7803,plain,
( sum(n16,sum(n5,n7)) != sum(sum(n7,n7),n14)
| ~ spl2_14
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7802,f457]) ).
fof(f7802,plain,
( sum(n16,sum(n5,succ(n6))) != sum(sum(n7,succ(n6)),n14)
| ~ spl2_14
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7801,f557]) ).
fof(f7801,plain,
( sum(n16,sum(n5,succ(n6))) != sum(sum(n7,succ(n6)),sum(n5,n9))
| ~ spl2_14
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7800,f530]) ).
fof(f7800,plain,
( sum(n16,sum(pred(n6),succ(n6))) != sum(sum(n7,succ(n6)),sum(pred(n6),n9))
| ~ spl2_14
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7573,f755]) ).
fof(f7784,plain,
( ~ spl2_6
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f7783]) ).
fof(f7783,plain,
( $false
| ~ spl2_6
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f7782]) ).
fof(f7782,plain,
( n17 != n17
| ~ spl2_6
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7781,f9]) ).
fof(f9,plain,
n17 = sum(n16,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f7781,plain,
( n17 != sum(n16,n1)
| ~ spl2_6
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7780,f210]) ).
fof(f7780,plain,
( sum(n16,n1) != sum(n19,n19)
| ~ spl2_6
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7779,f21]) ).
fof(f7779,plain,
( sum(n19,n19) != sum(n16,sum(n10,n12))
| ~ spl2_6
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7778,f287]) ).
fof(f7778,plain,
( sum(n16,sum(n10,n12)) != sum(sum(n7,n12),n19)
| ~ spl2_6
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7777,f558]) ).
fof(f7777,plain,
( sum(n16,sum(n10,n12)) != sum(sum(n7,n12),sum(n10,n9))
| ~ spl2_6
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7776,f641]) ).
fof(f7776,plain,
( sum(sum(n7,succ(n11)),sum(n10,n9)) != sum(n16,sum(n10,succ(n11)))
| ~ spl2_6
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7775,f266]) ).
fof(f7775,plain,
( sum(n16,sum(pred(n11),succ(n11))) != sum(sum(n7,succ(n11)),sum(pred(n11),n9))
| ~ spl2_6
| ~ spl2_22 ),
inference(backward_demodulation,[],[f7573,f723]) ).
fof(f7747,plain,
( ~ spl2_1
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f7746]) ).
fof(f7746,plain,
( $false
| ~ spl2_1
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f7745]) ).
fof(f7745,plain,
( n1 != n1
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7744,f470]) ).
fof(f7744,plain,
( n1 != sum(n11,n11)
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7743,f476]) ).
fof(f476,plain,
n1 = sum(n16,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f7743,plain,
( sum(n11,n11) != sum(n16,n6)
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7742,f533]) ).
fof(f7742,plain,
( sum(n11,n11) != sum(n16,sum(n2,n4))
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7741,f101]) ).
fof(f7741,plain,
( sum(n16,sum(n2,n4)) != sum(sum(n7,n4),n11)
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7740,f250]) ).
fof(f7740,plain,
( sum(n16,sum(n2,n4)) != sum(sum(n7,n4),sum(n2,n9))
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7739,f174]) ).
fof(f7739,plain,
( sum(n16,sum(pred(n3),n4)) != sum(sum(n7,n4),sum(pred(n3),n9))
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7738,f447]) ).
fof(f7738,plain,
( sum(sum(n7,succ(n3)),sum(pred(n3),n9)) != sum(n16,sum(pred(n3),succ(n3)))
| ~ spl2_1
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7573,f703]) ).
fof(f7715,plain,
( ~ spl2_8
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f7714]) ).
fof(f7714,plain,
( $false
| ~ spl2_8
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f7713]) ).
fof(f7713,plain,
( n14 != n14
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7712,f395]) ).
fof(f7712,plain,
( n14 != sum(n7,n7)
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7711,f683]) ).
fof(f683,plain,
n14 = sum(n16,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f7711,plain,
( sum(n7,n7) != sum(n16,n19)
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7710,f568]) ).
fof(f7710,plain,
( sum(n16,n19) != sum(sum(n7,n0),n7)
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7709,f100]) ).
fof(f7709,plain,
( sum(n16,n19) != sum(sum(n7,n0),sum(n19,n9))
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7708,f323]) ).
fof(f7708,plain,
( sum(sum(n7,n0),sum(n19,n9)) != sum(n16,sum(n19,n0))
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7707,f214]) ).
fof(f7707,plain,
( sum(n16,sum(pred(n20),n0)) != sum(sum(n7,n0),sum(pred(n20),n9))
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7706,f580]) ).
fof(f7706,plain,
( sum(sum(n7,succ(n20)),sum(pred(n20),n9)) != sum(n16,sum(pred(n20),succ(n20)))
| ~ spl2_8
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7573,f731]) ).
fof(f7681,plain,
( ~ spl2_5
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f7680]) ).
fof(f7680,plain,
( $false
| ~ spl2_5
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f7679]) ).
fof(f7679,plain,
( n9 != n9
| ~ spl2_5
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7678,f318]) ).
fof(f7678,plain,
( n9 != sum(n15,n15)
| ~ spl2_5
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7677,f97]) ).
fof(f97,plain,
n9 = sum(n16,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f7677,plain,
( sum(n15,n15) != sum(n16,n14)
| ~ spl2_5
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7676,f473]) ).
fof(f7676,plain,
( sum(n16,n14) != sum(sum(n7,n8),n15)
| ~ spl2_5
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7675,f479]) ).
fof(f7675,plain,
( sum(n16,n14) != sum(sum(n7,n8),sum(n6,n9))
| ~ spl2_5
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7674,f496]) ).
fof(f7674,plain,
( sum(sum(n7,n8),sum(n6,n9)) != sum(n16,sum(n6,n8))
| ~ spl2_5
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7673,f519]) ).
fof(f7673,plain,
( sum(n16,sum(pred(n7),n8)) != sum(sum(n7,n8),sum(pred(n7),n9))
| ~ spl2_5
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7672,f302]) ).
fof(f7672,plain,
( sum(sum(n7,succ(n7)),sum(pred(n7),n9)) != sum(n16,sum(pred(n7),succ(n7)))
| ~ spl2_5
| ~ spl2_22 ),
inference(backward_demodulation,[],[f7573,f719]) ).
fof(f7651,plain,
( ~ spl2_15
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f7650]) ).
fof(f7650,plain,
( $false
| ~ spl2_15
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f7649]) ).
fof(f7649,plain,
( n10 != n10
| ~ spl2_15
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7648,f230]) ).
fof(f7648,plain,
( n10 != sum(n5,n5)
| ~ spl2_15
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7647,f498]) ).
fof(f498,plain,
n10 = sum(n16,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f7647,plain,
( sum(n5,n5) != sum(n16,n15)
| ~ spl2_15
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7646,f380]) ).
fof(f7646,plain,
( sum(n16,n15) != sum(sum(n7,n19),n5)
| ~ spl2_15
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7645,f582]) ).
fof(f7645,plain,
( sum(n16,n15) != sum(sum(n7,n19),sum(n17,n9))
| ~ spl2_15
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7644,f402]) ).
fof(f7644,plain,
( sum(sum(n7,n19),sum(n17,n9)) != sum(n16,sum(n17,n19))
| ~ spl2_15
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7643,f40]) ).
fof(f7643,plain,
( sum(sum(n7,succ(n18)),sum(n17,n9)) != sum(n16,sum(n17,succ(n18)))
| ~ spl2_15
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7642,f651]) ).
fof(f7642,plain,
( sum(n16,sum(pred(n18),succ(n18))) != sum(sum(n7,succ(n18)),sum(pred(n18),n9))
| ~ spl2_15
| ~ spl2_22 ),
inference(backward_demodulation,[],[f7573,f759]) ).
fof(f7632,plain,
( ~ spl2_11
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f7631]) ).
fof(f7631,plain,
( $false
| ~ spl2_11
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f7630]) ).
fof(f7630,plain,
( n6 != n6
| ~ spl2_11
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7629,f419]) ).
fof(f7629,plain,
( n6 != sum(n3,n3)
| ~ spl2_11
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7628,f661]) ).
fof(f661,plain,
n6 = sum(n16,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f7628,plain,
( sum(n3,n3) != sum(n16,n11)
| ~ spl2_11
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7627,f618]) ).
fof(f618,plain,
n3 = sum(n7,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f7627,plain,
( sum(n16,n11) != sum(sum(n7,n17),n3)
| ~ spl2_11
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7626,f490]) ).
fof(f490,plain,
n3 = sum(n15,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f7626,plain,
( sum(n16,n11) != sum(sum(n7,n17),sum(n15,n9))
| ~ spl2_11
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7625,f383]) ).
fof(f7625,plain,
( sum(sum(n7,n17),sum(n15,n9)) != sum(n16,sum(n15,n17))
| ~ spl2_11
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7624,f233]) ).
fof(f7624,plain,
( sum(sum(n7,succ(n16)),sum(n15,n9)) != sum(n16,sum(n15,succ(n16)))
| ~ spl2_11
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7623,f418]) ).
fof(f7623,plain,
( sum(n16,sum(pred(n16),succ(n16))) != sum(sum(n7,succ(n16)),sum(pred(n16),n9))
| ~ spl2_11
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7573,f743]) ).
fof(f7601,plain,
( ~ spl2_12
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f7600]) ).
fof(f7600,plain,
( $false
| ~ spl2_12
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f7599]) ).
fof(f7599,plain,
( n12 != n12
| ~ spl2_12
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7598,f316]) ).
fof(f7598,plain,
( n12 != sum(n6,n6)
| ~ spl2_12
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7597,f5]) ).
fof(f5,plain,
n12 = sum(n16,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f7597,plain,
( sum(n6,n6) != sum(n16,n17)
| ~ spl2_12
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7596,f505]) ).
fof(f505,plain,
n6 = sum(n7,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f7596,plain,
( sum(n16,n17) != sum(sum(n7,n20),n6)
| ~ spl2_12
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7595,f153]) ).
fof(f7595,plain,
( sum(sum(n7,n20),n6) != sum(n16,sum(n18,n20))
| ~ spl2_12
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7594,f508]) ).
fof(f7594,plain,
( sum(sum(n7,succ(n19)),n6) != sum(n16,sum(n18,succ(n19)))
| ~ spl2_12
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7593,f586]) ).
fof(f586,plain,
n6 = sum(n18,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f7593,plain,
( sum(n16,sum(n18,succ(n19))) != sum(sum(n7,succ(n19)),sum(n18,n9))
| ~ spl2_12
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7592,f350]) ).
fof(f7592,plain,
( sum(n16,sum(pred(n19),succ(n19))) != sum(sum(n7,succ(n19)),sum(pred(n19),n9))
| ~ spl2_12
| ~ spl2_22 ),
inference(backward_demodulation,[],[f7573,f747]) ).
fof(f7545,plain,
( ~ spl2_21
| ~ spl2_40 ),
inference(avatar_contradiction_clause,[],[f7544]) ).
fof(f7544,plain,
( $false
| ~ spl2_21
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f7543]) ).
fof(f7543,plain,
( n3 != n3
| ~ spl2_21
| ~ spl2_40 ),
inference(forward_demodulation,[],[f7542,f546]) ).
fof(f7542,plain,
( n3 != sum(n12,n12)
| ~ spl2_21
| ~ spl2_40 ),
inference(forward_demodulation,[],[f7541,f490]) ).
fof(f7541,plain,
( sum(n12,n12) != sum(n15,n9)
| ~ spl2_21
| ~ spl2_40 ),
inference(forward_demodulation,[],[f7540,f402]) ).
fof(f7540,plain,
( sum(n12,n12) != sum(sum(n17,n19),n9)
| ~ spl2_21
| ~ spl2_40 ),
inference(forward_demodulation,[],[f7539,f537]) ).
fof(f7539,plain,
( sum(sum(n17,n19),n9) != sum(sum(n17,n16),n12)
| ~ spl2_21
| ~ spl2_40 ),
inference(forward_demodulation,[],[f7538,f220]) ).
fof(f7538,plain,
( sum(sum(n17,n19),n9) != sum(sum(n17,n16),sum(n14,n19))
| ~ spl2_21
| ~ spl2_40 ),
inference(forward_demodulation,[],[f7537,f651]) ).
fof(f7537,plain,
( sum(sum(pred(n18),n16),sum(n14,n19)) != sum(sum(pred(n18),n19),n9)
| ~ spl2_21
| ~ spl2_40 ),
inference(forward_demodulation,[],[f7536,f40]) ).
fof(f7536,plain,
( sum(sum(pred(n18),succ(n18)),n9) != sum(sum(pred(n18),n16),sum(n14,succ(n18)))
| ~ spl2_21
| ~ spl2_40 ),
inference(forward_demodulation,[],[f7108,f860]) ).
fof(f7108,plain,
( sum(sum(pred(sK0),n16),sum(n14,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n9)
| ~ spl2_21 ),
inference(forward_demodulation,[],[f7107,f486]) ).
fof(f7107,plain,
( sum(sum(pred(sK0),n16),sum(n14,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n14,n16))
| ~ spl2_21 ),
inference(forward_demodulation,[],[f7106,f37]) ).
fof(f7106,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(n14,succ(n15))) != sum(sum(pred(sK0),succ(n15)),sum(n14,succ(sK0)))
| ~ spl2_21 ),
inference(forward_demodulation,[],[f7105,f562]) ).
fof(f7105,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n15),succ(n15))) != sum(sum(pred(sK0),succ(n15)),sum(pred(n15),succ(sK0)))
| ~ spl2_21 ),
inference(forward_demodulation,[],[f346,f783]) ).
fof(f783,plain,
( n15 = sK1
| ~ spl2_21 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f781,plain,
( spl2_21
<=> n15 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_21])]) ).
fof(f7517,plain,
( ~ spl2_21
| ~ spl2_32 ),
inference(avatar_contradiction_clause,[],[f7516]) ).
fof(f7516,plain,
( $false
| ~ spl2_21
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f7515]) ).
fof(f7515,plain,
( n19 != n19
| ~ spl2_21
| ~ spl2_32 ),
inference(forward_demodulation,[],[f7514,f558]) ).
fof(f7514,plain,
( n19 != sum(n10,n9)
| ~ spl2_21
| ~ spl2_32 ),
inference(forward_demodulation,[],[f7513,f119]) ).
fof(f7513,plain,
( sum(n10,n9) != sum(n20,n20)
| ~ spl2_21
| ~ spl2_32 ),
inference(forward_demodulation,[],[f7512,f464]) ).
fof(f7512,plain,
( sum(n20,n20) != sum(sum(n4,n6),n9)
| ~ spl2_21
| ~ spl2_32 ),
inference(forward_demodulation,[],[f7511,f211]) ).
fof(f7511,plain,
( sum(sum(n4,n6),n9) != sum(sum(n4,n16),n20)
| ~ spl2_21
| ~ spl2_32 ),
inference(forward_demodulation,[],[f7510,f317]) ).
fof(f7510,plain,
( sum(sum(n4,n6),n9) != sum(sum(n4,n16),sum(n14,n6))
| ~ spl2_21
| ~ spl2_32 ),
inference(forward_demodulation,[],[f7509,f126]) ).
fof(f7509,plain,
( sum(sum(pred(n5),n16),sum(n14,n6)) != sum(sum(pred(n5),n6),n9)
| ~ spl2_21
| ~ spl2_32 ),
inference(forward_demodulation,[],[f7508,f692]) ).
fof(f7508,plain,
( sum(sum(pred(n5),succ(n5)),n9) != sum(sum(pred(n5),n16),sum(n14,succ(n5)))
| ~ spl2_21
| ~ spl2_32 ),
inference(forward_demodulation,[],[f7108,f828]) ).
fof(f7490,plain,
( ~ spl2_21
| ~ spl2_25 ),
inference(avatar_contradiction_clause,[],[f7489]) ).
fof(f7489,plain,
( $false
| ~ spl2_21
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f7488]) ).
fof(f7488,plain,
( sum(sum(pred(n15),n16),n9) != sum(sum(pred(n15),n16),n9)
| ~ spl2_21
| ~ spl2_25 ),
inference(forward_demodulation,[],[f7487,f486]) ).
fof(f7487,plain,
( sum(sum(pred(n15),n16),n9) != sum(sum(pred(n15),n16),sum(n14,n16))
| ~ spl2_21
| ~ spl2_25 ),
inference(forward_demodulation,[],[f7486,f37]) ).
fof(f7486,plain,
( sum(sum(pred(n15),n16),sum(n14,succ(n15))) != sum(sum(pred(n15),succ(n15)),n9)
| ~ spl2_21
| ~ spl2_25 ),
inference(forward_demodulation,[],[f7108,f800]) ).
fof(f7466,plain,
( ~ spl2_21
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f7465]) ).
fof(f7465,plain,
( $false
| ~ spl2_21
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f7464]) ).
fof(f7464,plain,
( n0 != n0
| ~ spl2_21
| ~ spl2_28 ),
inference(forward_demodulation,[],[f7463,f296]) ).
fof(f7463,plain,
( n0 != sum(n0,n0)
| ~ spl2_21
| ~ spl2_28 ),
inference(forward_demodulation,[],[f7462,f334]) ).
fof(f7462,plain,
( sum(n0,n0) != sum(n12,n9)
| ~ spl2_21
| ~ spl2_28 ),
inference(forward_demodulation,[],[f7461,f59]) ).
fof(f7461,plain,
( sum(n12,n9) != sum(sum(n5,n16),n0)
| ~ spl2_21
| ~ spl2_28 ),
inference(forward_demodulation,[],[f7460,f511]) ).
fof(f7460,plain,
( sum(sum(n5,n16),n0) != sum(sum(n5,n7),n9)
| ~ spl2_21
| ~ spl2_28 ),
inference(forward_demodulation,[],[f7459,f530]) ).
fof(f7459,plain,
( sum(sum(pred(n6),n16),n0) != sum(sum(pred(n6),n7),n9)
| ~ spl2_21
| ~ spl2_28 ),
inference(forward_demodulation,[],[f7458,f603]) ).
fof(f7458,plain,
( sum(sum(pred(n6),n7),n9) != sum(sum(pred(n6),n16),sum(n14,n7))
| ~ spl2_21
| ~ spl2_28 ),
inference(forward_demodulation,[],[f7457,f457]) ).
fof(f7457,plain,
( sum(sum(pred(n6),succ(n6)),n9) != sum(sum(pred(n6),n16),sum(n14,succ(n6)))
| ~ spl2_21
| ~ spl2_28 ),
inference(forward_demodulation,[],[f7108,f812]) ).
fof(f7436,plain,
( ~ spl2_21
| ~ spl2_27 ),
inference(avatar_contradiction_clause,[],[f7435]) ).
fof(f7435,plain,
( $false
| ~ spl2_21
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f7434]) ).
fof(f7434,plain,
( n10 != n10
| ~ spl2_21
| ~ spl2_27 ),
inference(forward_demodulation,[],[f7433,f384]) ).
fof(f7433,plain,
( n10 != sum(n1,n9)
| ~ spl2_21
| ~ spl2_27 ),
inference(forward_demodulation,[],[f7432,f230]) ).
fof(f7432,plain,
( sum(n1,n9) != sum(n5,n5)
| ~ spl2_21
| ~ spl2_27 ),
inference(forward_demodulation,[],[f7431,f361]) ).
fof(f7431,plain,
( sum(n1,n9) != sum(sum(n10,n16),n5)
| ~ spl2_21
| ~ spl2_27 ),
inference(forward_demodulation,[],[f7430,f21]) ).
fof(f7430,plain,
( sum(sum(n10,n16),n5) != sum(sum(n10,n12),n9)
| ~ spl2_21
| ~ spl2_27 ),
inference(forward_demodulation,[],[f7429,f53]) ).
fof(f7429,plain,
( sum(sum(n10,n12),n9) != sum(sum(n10,n16),sum(n14,n12))
| ~ spl2_21
| ~ spl2_27 ),
inference(forward_demodulation,[],[f7428,f266]) ).
fof(f7428,plain,
( sum(sum(pred(n11),n16),sum(n14,n12)) != sum(sum(pred(n11),n12),n9)
| ~ spl2_21
| ~ spl2_27 ),
inference(forward_demodulation,[],[f7427,f641]) ).
fof(f7427,plain,
( sum(sum(pred(n11),n16),sum(n14,succ(n11))) != sum(sum(pred(n11),succ(n11)),n9)
| ~ spl2_21
| ~ spl2_27 ),
inference(forward_demodulation,[],[f7108,f808]) ).
fof(f7400,plain,
( ~ spl2_21
| ~ spl2_36 ),
inference(avatar_contradiction_clause,[],[f7399]) ).
fof(f7399,plain,
( $false
| ~ spl2_21
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f7398]) ).
fof(f7398,plain,
( n6 != n6
| ~ spl2_21
| ~ spl2_36 ),
inference(forward_demodulation,[],[f7397,f419]) ).
fof(f7397,plain,
( n6 != sum(n3,n3)
| ~ spl2_21
| ~ spl2_36 ),
inference(forward_demodulation,[],[f7396,f586]) ).
fof(f7396,plain,
( sum(n3,n3) != sum(n18,n9)
| ~ spl2_21
| ~ spl2_36 ),
inference(forward_demodulation,[],[f7395,f391]) ).
fof(f7395,plain,
( sum(n3,n3) != sum(sum(n8,n10),n9)
| ~ spl2_21
| ~ spl2_36 ),
inference(forward_demodulation,[],[f7394,f203]) ).
fof(f203,plain,
n3 = sum(n8,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f7394,plain,
( sum(sum(n8,n10),n9) != sum(sum(n8,n16),n3)
| ~ spl2_21
| ~ spl2_36 ),
inference(forward_demodulation,[],[f7393,f514]) ).
fof(f7393,plain,
( sum(sum(n8,n10),n9) != sum(sum(n8,n16),sum(n14,n10))
| ~ spl2_21
| ~ spl2_36 ),
inference(forward_demodulation,[],[f7392,f333]) ).
fof(f7392,plain,
( sum(sum(pred(n9),n16),sum(n14,n10)) != sum(sum(pred(n9),n10),n9)
| ~ spl2_21
| ~ spl2_36 ),
inference(forward_demodulation,[],[f7391,f699]) ).
fof(f7391,plain,
( sum(sum(pred(n9),n16),sum(n14,succ(n9))) != sum(sum(pred(n9),succ(n9)),n9)
| ~ spl2_21
| ~ spl2_36 ),
inference(backward_demodulation,[],[f7108,f844]) ).
fof(f7361,plain,
( ~ spl2_21
| ~ spl2_34 ),
inference(avatar_contradiction_clause,[],[f7360]) ).
fof(f7360,plain,
( $false
| ~ spl2_21
| ~ spl2_34 ),
inference(trivial_inequality_removal,[],[f7359]) ).
fof(f7359,plain,
( n9 != n9
| ~ spl2_21
| ~ spl2_34 ),
inference(forward_demodulation,[],[f7358,f14]) ).
fof(f7358,plain,
( n9 != sum(n0,n9)
| ~ spl2_21
| ~ spl2_34 ),
inference(forward_demodulation,[],[f7357,f318]) ).
fof(f7357,plain,
( sum(n0,n9) != sum(n15,n15)
| ~ spl2_21
| ~ spl2_34 ),
inference(forward_demodulation,[],[f7356,f404]) ).
fof(f7356,plain,
( sum(n0,n9) != sum(sum(n20,n16),n15)
| ~ spl2_21
| ~ spl2_34 ),
inference(forward_demodulation,[],[f7355,f510]) ).
fof(f7355,plain,
( sum(sum(n20,n16),n15) != sum(sum(n20,n1),n9)
| ~ spl2_21
| ~ spl2_34 ),
inference(forward_demodulation,[],[f7354,f358]) ).
fof(f7354,plain,
( sum(sum(pred(n0),n1),n9) != sum(sum(pred(n0),n16),n15)
| ~ spl2_21
| ~ spl2_34 ),
inference(forward_demodulation,[],[f7353,f481]) ).
fof(f7353,plain,
( sum(sum(pred(n0),n1),n9) != sum(sum(pred(n0),n16),sum(n14,n1))
| ~ spl2_21
| ~ spl2_34 ),
inference(forward_demodulation,[],[f7352,f192]) ).
fof(f7352,plain,
( sum(sum(pred(n0),n16),sum(n14,succ(n0))) != sum(sum(pred(n0),succ(n0)),n9)
| ~ spl2_21
| ~ spl2_34 ),
inference(backward_demodulation,[],[f7108,f836]) ).
fof(f7338,plain,
( ~ spl2_21
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f7337]) ).
fof(f7337,plain,
( $false
| ~ spl2_21
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f7336]) ).
fof(f7336,plain,
( n12 != n12
| ~ spl2_21
| ~ spl2_24 ),
inference(forward_demodulation,[],[f7335,f696]) ).
fof(f696,plain,
n12 = sum(n3,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f7335,plain,
( n12 != sum(n3,n9)
| ~ spl2_21
| ~ spl2_24 ),
inference(forward_demodulation,[],[f7334,f316]) ).
fof(f7334,plain,
( sum(n3,n9) != sum(n6,n6)
| ~ spl2_21
| ~ spl2_24 ),
inference(forward_demodulation,[],[f7333,f116]) ).
fof(f7333,plain,
( sum(n3,n9) != sum(sum(n11,n16),n6)
| ~ spl2_21
| ~ spl2_24 ),
inference(forward_demodulation,[],[f7332,f349]) ).
fof(f7332,plain,
( sum(n3,n9) != sum(sum(n11,n16),sum(n14,n13))
| ~ spl2_21
| ~ spl2_24 ),
inference(forward_demodulation,[],[f7331,f125]) ).
fof(f7331,plain,
( sum(sum(n11,n16),sum(n14,n13)) != sum(sum(n11,n13),n9)
| ~ spl2_21
| ~ spl2_24 ),
inference(forward_demodulation,[],[f7330,f347]) ).
fof(f7330,plain,
( sum(sum(pred(n12),n16),sum(n14,n13)) != sum(sum(pred(n12),n13),n9)
| ~ spl2_21
| ~ spl2_24 ),
inference(forward_demodulation,[],[f7329,f278]) ).
fof(f7329,plain,
( sum(sum(pred(n12),n16),sum(n14,succ(n12))) != sum(sum(pred(n12),succ(n12)),n9)
| ~ spl2_21
| ~ spl2_24 ),
inference(backward_demodulation,[],[f7108,f796]) ).
fof(f7302,plain,
( ~ spl2_21
| ~ spl2_23 ),
inference(avatar_contradiction_clause,[],[f7301]) ).
fof(f7301,plain,
( $false
| ~ spl2_21
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f7300]) ).
fof(f7300,plain,
( n13 != n13
| ~ spl2_21
| ~ spl2_23 ),
inference(forward_demodulation,[],[f7299,f421]) ).
fof(f7299,plain,
( n13 != sum(n4,n9)
| ~ spl2_21
| ~ spl2_23 ),
inference(forward_demodulation,[],[f7298,f106]) ).
fof(f7298,plain,
( sum(n4,n9) != sum(n17,n17)
| ~ spl2_21
| ~ spl2_23 ),
inference(forward_demodulation,[],[f7297,f322]) ).
fof(f7297,plain,
( sum(n4,n9) != sum(sum(n1,n16),n17)
| ~ spl2_21
| ~ spl2_23 ),
inference(forward_demodulation,[],[f7296,f431]) ).
fof(f7296,plain,
( sum(n4,n9) != sum(sum(n1,n16),sum(n14,n3))
| ~ spl2_21
| ~ spl2_23 ),
inference(forward_demodulation,[],[f7295,f141]) ).
fof(f7295,plain,
( sum(sum(n1,n16),sum(n14,n3)) != sum(sum(n1,n3),n9)
| ~ spl2_21
| ~ spl2_23 ),
inference(forward_demodulation,[],[f7294,f231]) ).
fof(f7294,plain,
( sum(sum(pred(n2),n16),sum(n14,n3)) != sum(sum(pred(n2),n3),n9)
| ~ spl2_21
| ~ spl2_23 ),
inference(forward_demodulation,[],[f7293,f184]) ).
fof(f7293,plain,
( sum(sum(pred(n2),n16),sum(n14,succ(n2))) != sum(sum(pred(n2),succ(n2)),n9)
| ~ spl2_21
| ~ spl2_23 ),
inference(backward_demodulation,[],[f7108,f792]) ).
fof(f7273,plain,
( ~ spl2_21
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f7272]) ).
fof(f7272,plain,
( $false
| ~ spl2_21
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f7271]) ).
fof(f7271,plain,
( n8 != n8
| ~ spl2_21
| ~ spl2_42 ),
inference(forward_demodulation,[],[f7270,f157]) ).
fof(f7270,plain,
( n8 != sum(n4,n4)
| ~ spl2_21
| ~ spl2_42 ),
inference(forward_demodulation,[],[f7269,f70]) ).
fof(f7269,plain,
( sum(n4,n4) != sum(n20,n9)
| ~ spl2_21
| ~ spl2_42 ),
inference(forward_demodulation,[],[f7268,f16]) ).
fof(f7268,plain,
( sum(n4,n4) != sum(sum(n9,n11),n9)
| ~ spl2_21
| ~ spl2_42 ),
inference(forward_demodulation,[],[f7267,f566]) ).
fof(f7267,plain,
( sum(sum(n9,n11),n9) != sum(sum(n9,n16),n4)
| ~ spl2_21
| ~ spl2_42 ),
inference(forward_demodulation,[],[f7266,f693]) ).
fof(f7266,plain,
( sum(sum(pred(n10),n11),n9) != sum(sum(pred(n10),n16),n4)
| ~ spl2_21
| ~ spl2_42 ),
inference(forward_demodulation,[],[f7265,f624]) ).
fof(f7265,plain,
( sum(sum(pred(n10),n11),n9) != sum(sum(pred(n10),n16),sum(n14,n11))
| ~ spl2_21
| ~ spl2_42 ),
inference(forward_demodulation,[],[f7264,f114]) ).
fof(f7264,plain,
( sum(sum(pred(n10),succ(n10)),n9) != sum(sum(pred(n10),n16),sum(n14,succ(n10)))
| ~ spl2_21
| ~ spl2_42 ),
inference(backward_demodulation,[],[f7108,f868]) ).
fof(f7236,plain,
( ~ spl2_21
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f7235]) ).
fof(f7235,plain,
( $false
| ~ spl2_21
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f7234]) ).
fof(f7234,plain,
( n15 != n15
| ~ spl2_21
| ~ spl2_29 ),
inference(forward_demodulation,[],[f7233,f479]) ).
fof(f7233,plain,
( n15 != sum(n6,n9)
| ~ spl2_21
| ~ spl2_29 ),
inference(forward_demodulation,[],[f7232,f679]) ).
fof(f7232,plain,
( sum(n6,n9) != sum(n18,n18)
| ~ spl2_21
| ~ spl2_29 ),
inference(forward_demodulation,[],[f7231,f533]) ).
fof(f7231,plain,
( sum(n18,n18) != sum(sum(n2,n4),n9)
| ~ spl2_21
| ~ spl2_29 ),
inference(forward_demodulation,[],[f7230,f35]) ).
fof(f7230,plain,
( sum(sum(n2,n4),n9) != sum(sum(n2,n16),n18)
| ~ spl2_21
| ~ spl2_29 ),
inference(forward_demodulation,[],[f7229,f541]) ).
fof(f7229,plain,
( sum(sum(n2,n4),n9) != sum(sum(n2,n16),sum(n14,n4))
| ~ spl2_21
| ~ spl2_29 ),
inference(forward_demodulation,[],[f7228,f174]) ).
fof(f7228,plain,
( sum(sum(pred(n3),n16),sum(n14,n4)) != sum(sum(pred(n3),n4),n9)
| ~ spl2_21
| ~ spl2_29 ),
inference(forward_demodulation,[],[f7227,f447]) ).
fof(f7227,plain,
( sum(sum(pred(n3),n16),sum(n14,succ(n3))) != sum(sum(pred(n3),succ(n3)),n9)
| ~ spl2_21
| ~ spl2_29 ),
inference(forward_demodulation,[],[f7108,f816]) ).
fof(f7220,plain,
( ~ spl2_21
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f7219]) ).
fof(f7219,plain,
( $false
| ~ spl2_21
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f7218]) ).
fof(f7218,plain,
( n4 != n4
| ~ spl2_21
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7217,f489]) ).
fof(f7217,plain,
( n4 != sum(n2,n2)
| ~ spl2_21
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7216,f687]) ).
fof(f687,plain,
n4 = sum(n16,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f7216,plain,
( sum(n2,n2) != sum(n16,n9)
| ~ spl2_21
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7215,f648]) ).
fof(f7215,plain,
( sum(n2,n2) != sum(sum(n7,n9),n9)
| ~ spl2_21
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7214,f186]) ).
fof(f7214,plain,
( sum(sum(n7,n9),n9) != sum(sum(n7,n16),n2)
| ~ spl2_21
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7213,f574]) ).
fof(f7213,plain,
( sum(sum(n7,n9),n9) != sum(sum(n7,n16),sum(n14,n9))
| ~ spl2_21
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7212,f607]) ).
fof(f7212,plain,
( sum(sum(pred(n8),n16),sum(n14,n9)) != sum(sum(pred(n8),n9),n9)
| ~ spl2_21
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7211,f474]) ).
fof(f7211,plain,
( sum(sum(pred(n8),succ(n8)),n9) != sum(sum(pred(n8),n16),sum(n14,succ(n8)))
| ~ spl2_21
| ~ spl2_22 ),
inference(forward_demodulation,[],[f7108,f788]) ).
fof(f7189,plain,
( ~ spl2_21
| ~ spl2_38 ),
inference(avatar_contradiction_clause,[],[f7188]) ).
fof(f7188,plain,
( $false
| ~ spl2_21
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f7187]) ).
fof(f7187,plain,
( n11 != n11
| ~ spl2_21
| ~ spl2_38 ),
inference(forward_demodulation,[],[f7186,f250]) ).
fof(f7186,plain,
( n11 != sum(n2,n9)
| ~ spl2_21
| ~ spl2_38 ),
inference(forward_demodulation,[],[f7185,f193]) ).
fof(f7185,plain,
( sum(n2,n9) != sum(n16,n16)
| ~ spl2_21
| ~ spl2_38 ),
inference(forward_demodulation,[],[f7184,f471]) ).
fof(f7184,plain,
( sum(n2,n9) != sum(sum(n0,n16),n16)
| ~ spl2_21
| ~ spl2_38 ),
inference(forward_demodulation,[],[f7183,f560]) ).
fof(f560,plain,
n16 = sum(n14,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f7183,plain,
( sum(n2,n9) != sum(sum(n0,n16),sum(n14,n2))
| ~ spl2_21
| ~ spl2_38 ),
inference(forward_demodulation,[],[f7182,f190]) ).
fof(f7182,plain,
( sum(sum(n0,n16),sum(n14,n2)) != sum(sum(n0,n2),n9)
| ~ spl2_21
| ~ spl2_38 ),
inference(forward_demodulation,[],[f7181,f598]) ).
fof(f7181,plain,
( sum(sum(pred(n1),n16),sum(n14,n2)) != sum(sum(pred(n1),n2),n9)
| ~ spl2_21
| ~ spl2_38 ),
inference(forward_demodulation,[],[f7180,f677]) ).
fof(f7180,plain,
( sum(sum(pred(n1),n16),sum(n14,succ(n1))) != sum(sum(pred(n1),succ(n1)),n9)
| ~ spl2_21
| ~ spl2_38 ),
inference(forward_demodulation,[],[f7108,f852]) ).
fof(f7163,plain,
( ~ spl2_21
| ~ spl2_26 ),
inference(avatar_contradiction_clause,[],[f7162]) ).
fof(f7162,plain,
( $false
| ~ spl2_21
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f7161]) ).
fof(f7161,plain,
( n7 != n7
| ~ spl2_21
| ~ spl2_26 ),
inference(forward_demodulation,[],[f7160,f243]) ).
fof(f7160,plain,
( n7 != sum(n14,n14)
| ~ spl2_21
| ~ spl2_26 ),
inference(forward_demodulation,[],[f7159,f100]) ).
fof(f7159,plain,
( sum(n14,n14) != sum(n19,n9)
| ~ spl2_21
| ~ spl2_26 ),
inference(forward_demodulation,[],[f7158,f504]) ).
fof(f7158,plain,
( sum(n19,n9) != sum(sum(n19,n16),n14)
| ~ spl2_21
| ~ spl2_26 ),
inference(forward_demodulation,[],[f7157,f176]) ).
fof(f7157,plain,
( sum(n19,n9) != sum(sum(n19,n16),sum(n14,n0))
| ~ spl2_21
| ~ spl2_26 ),
inference(forward_demodulation,[],[f7156,f323]) ).
fof(f7156,plain,
( sum(sum(n19,n16),sum(n14,n0)) != sum(sum(n19,n0),n9)
| ~ spl2_21
| ~ spl2_26 ),
inference(forward_demodulation,[],[f7155,f214]) ).
fof(f7155,plain,
( sum(sum(pred(n20),n16),sum(n14,n0)) != sum(sum(pred(n20),n0),n9)
| ~ spl2_21
| ~ spl2_26 ),
inference(forward_demodulation,[],[f7154,f580]) ).
fof(f7154,plain,
( sum(sum(pred(n20),n16),sum(n14,succ(n20))) != sum(sum(pred(n20),succ(n20)),n9)
| ~ spl2_21
| ~ spl2_26 ),
inference(forward_demodulation,[],[f7108,f804]) ).
fof(f7136,plain,
( ~ spl2_21
| ~ spl2_30 ),
inference(avatar_contradiction_clause,[],[f7135]) ).
fof(f7135,plain,
( $false
| ~ spl2_21
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f7134]) ).
fof(f7134,plain,
( n2 != n2
| ~ spl2_21
| ~ spl2_30 ),
inference(forward_demodulation,[],[f7133,f433]) ).
fof(f7133,plain,
( n2 != sum(n1,n1)
| ~ spl2_21
| ~ spl2_30 ),
inference(forward_demodulation,[],[f7132,f574]) ).
fof(f7132,plain,
( sum(n1,n1) != sum(n14,n9)
| ~ spl2_21
| ~ spl2_30 ),
inference(forward_demodulation,[],[f7131,f496]) ).
fof(f7131,plain,
( sum(n1,n1) != sum(sum(n6,n8),n9)
| ~ spl2_21
| ~ spl2_30 ),
inference(forward_demodulation,[],[f7130,f39]) ).
fof(f7130,plain,
( sum(sum(n6,n8),n9) != sum(sum(n6,n16),n1)
| ~ spl2_21
| ~ spl2_30 ),
inference(forward_demodulation,[],[f7129,f519]) ).
fof(f7129,plain,
( sum(sum(pred(n7),n8),n9) != sum(sum(pred(n7),n16),n1)
| ~ spl2_21
| ~ spl2_30 ),
inference(forward_demodulation,[],[f7128,f424]) ).
fof(f7128,plain,
( sum(sum(pred(n7),n8),n9) != sum(sum(pred(n7),n16),sum(n14,n8))
| ~ spl2_21
| ~ spl2_30 ),
inference(forward_demodulation,[],[f7127,f302]) ).
fof(f7127,plain,
( sum(sum(pred(n7),n16),sum(n14,succ(n7))) != sum(sum(pred(n7),succ(n7)),n9)
| ~ spl2_21
| ~ spl2_30 ),
inference(backward_demodulation,[],[f7108,f820]) ).
fof(f7095,plain,
( ~ spl2_21
| ~ spl2_41 ),
inference(avatar_contradiction_clause,[],[f7094]) ).
fof(f7094,plain,
( $false
| ~ spl2_21
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f7093]) ).
fof(f7093,plain,
( n1 != n1
| ~ spl2_21
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7092,f470]) ).
fof(f7092,plain,
( n1 != sum(n11,n11)
| ~ spl2_21
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7091,f343]) ).
fof(f343,plain,
n1 = sum(n13,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f7091,plain,
( sum(n11,n11) != sum(n13,n9)
| ~ spl2_21
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7090,f193]) ).
fof(f7090,plain,
( sum(n13,n9) != sum(sum(n16,n16),n11)
| ~ spl2_21
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7089,f339]) ).
fof(f339,plain,
n11 = sum(n14,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f7089,plain,
( sum(n13,n9) != sum(sum(n16,n16),sum(n14,n18))
| ~ spl2_21
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7088,f486]) ).
fof(f7088,plain,
( sum(sum(n16,n16),sum(n14,n18)) != sum(n13,sum(n14,n16))
| ~ spl2_21
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7087,f562]) ).
fof(f7087,plain,
( sum(sum(n16,n16),sum(pred(n15),n18)) != sum(n13,sum(pred(n15),n16))
| ~ spl2_21
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7086,f37]) ).
fof(f7086,plain,
( sum(sum(n16,succ(n15)),sum(pred(n15),n18)) != sum(n13,sum(pred(n15),succ(n15)))
| ~ spl2_21
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6652,f783]) ).
fof(f6652,plain,
( sum(n13,sum(pred(sK1),succ(sK1))) != sum(sum(n16,succ(sK1)),sum(pred(sK1),n18))
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6651,f123]) ).
fof(f123,plain,
n13 = sum(n16,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f6651,plain,
( sum(sum(n16,n18),sum(pred(sK1),succ(sK1))) != sum(sum(n16,succ(sK1)),sum(pred(sK1),n18))
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6650,f288]) ).
fof(f288,plain,
n16 = pred(n17),
inference(cnf_transformation,[],[f3]) ).
fof(f6650,plain,
( sum(sum(pred(n17),n18),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n17),succ(sK1)),sum(pred(sK1),n18))
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6649,f657]) ).
fof(f657,plain,
succ(n17) = n18,
inference(cnf_transformation,[],[f3]) ).
fof(f6649,plain,
( sum(sum(pred(n17),succ(sK1)),sum(pred(sK1),succ(n17))) != sum(sum(pred(n17),succ(n17)),sum(pred(sK1),succ(sK1)))
| ~ spl2_41 ),
inference(forward_demodulation,[],[f346,f864]) ).
fof(f864,plain,
( n17 = sK0
| ~ spl2_41 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f862,plain,
( spl2_41
<=> n17 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_41])]) ).
fof(f7071,plain,
( ~ spl2_13
| ~ spl2_41 ),
inference(avatar_contradiction_clause,[],[f7070]) ).
fof(f7070,plain,
( $false
| ~ spl2_13
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f7069]) ).
fof(f7069,plain,
( n2 != n2
| ~ spl2_13
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7068,f433]) ).
fof(f7068,plain,
( n2 != sum(n1,n1)
| ~ spl2_13
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7067,f512]) ).
fof(f512,plain,
n2 = sum(n13,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f7067,plain,
( sum(n1,n1) != sum(n13,n10)
| ~ spl2_13
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7066,f476]) ).
fof(f7066,plain,
( sum(n13,n10) != sum(sum(n16,n6),n1)
| ~ spl2_13
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7065,f464]) ).
fof(f7065,plain,
( sum(sum(n16,n6),n1) != sum(n13,sum(n4,n6))
| ~ spl2_13
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7064,f268]) ).
fof(f268,plain,
n1 = sum(n4,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f7064,plain,
( sum(n13,sum(n4,n6)) != sum(sum(n16,n6),sum(n4,n18))
| ~ spl2_13
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7063,f126]) ).
fof(f7063,plain,
( sum(sum(n16,n6),sum(pred(n5),n18)) != sum(n13,sum(pred(n5),n6))
| ~ spl2_13
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7062,f692]) ).
fof(f7062,plain,
( sum(sum(n16,succ(n5)),sum(pred(n5),n18)) != sum(n13,sum(pred(n5),succ(n5)))
| ~ spl2_13
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6652,f751]) ).
fof(f7043,plain,
( ~ spl2_3
| ~ spl2_41 ),
inference(avatar_contradiction_clause,[],[f7042]) ).
fof(f7042,plain,
( $false
| ~ spl2_3
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f7041]) ).
fof(f7041,plain,
( n18 != n18
| ~ spl2_3
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7040,f357]) ).
fof(f7040,plain,
( n18 != sum(n9,n9)
| ~ spl2_3
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7039,f314]) ).
fof(f314,plain,
n18 = sum(n13,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f7039,plain,
( sum(n9,n9) != sum(n13,n5)
| ~ spl2_3
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7038,f97]) ).
fof(f7038,plain,
( sum(n13,n5) != sum(sum(n16,n14),n9)
| ~ spl2_3
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7037,f221]) ).
fof(f221,plain,
n9 = sum(n12,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f7037,plain,
( sum(n13,n5) != sum(sum(n16,n14),sum(n12,n18))
| ~ spl2_3
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7036,f610]) ).
fof(f7036,plain,
( sum(sum(n16,n14),sum(n12,n18)) != sum(n13,sum(n12,n14))
| ~ spl2_3
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7035,f225]) ).
fof(f7035,plain,
( sum(sum(n16,n14),sum(pred(n13),n18)) != sum(n13,sum(pred(n13),n14))
| ~ spl2_3
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7034,f502]) ).
fof(f7034,plain,
( sum(sum(n16,succ(n13)),sum(pred(n13),n18)) != sum(n13,sum(pred(n13),succ(n13)))
| ~ spl2_3
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6652,f711]) ).
fof(f7011,plain,
( ~ spl2_1
| ~ spl2_41 ),
inference(avatar_contradiction_clause,[],[f7010]) ).
fof(f7010,plain,
( $false
| ~ spl2_1
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f7009]) ).
fof(f7009,plain,
( n19 != n19
| ~ spl2_1
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7008,f675]) ).
fof(f675,plain,
n19 = sum(n13,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f7008,plain,
( n19 != sum(n13,n6)
| ~ spl2_1
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7007,f119]) ).
fof(f7007,plain,
( sum(n13,n6) != sum(n20,n20)
| ~ spl2_1
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7006,f168]) ).
fof(f168,plain,
n20 = sum(n16,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f7006,plain,
( sum(n13,n6) != sum(sum(n16,n4),n20)
| ~ spl2_1
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7005,f131]) ).
fof(f131,plain,
n20 = sum(n2,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f7005,plain,
( sum(n13,n6) != sum(sum(n16,n4),sum(n2,n18))
| ~ spl2_1
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7004,f533]) ).
fof(f7004,plain,
( sum(sum(n16,n4),sum(n2,n18)) != sum(n13,sum(n2,n4))
| ~ spl2_1
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7003,f447]) ).
fof(f7003,plain,
( sum(sum(n16,succ(n3)),sum(n2,n18)) != sum(n13,sum(n2,succ(n3)))
| ~ spl2_1
| ~ spl2_41 ),
inference(forward_demodulation,[],[f7002,f174]) ).
fof(f7002,plain,
( sum(n13,sum(pred(n3),succ(n3))) != sum(sum(n16,succ(n3)),sum(pred(n3),n18))
| ~ spl2_1
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6652,f703]) ).
fof(f6966,plain,
( ~ spl2_4
| ~ spl2_41 ),
inference(avatar_contradiction_clause,[],[f6965]) ).
fof(f6965,plain,
( $false
| ~ spl2_4
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f6964]) ).
fof(f6964,plain,
( n16 != n16
| ~ spl2_4
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6963,f177]) ).
fof(f6963,plain,
( n16 != sum(n8,n8)
| ~ spl2_4
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6962,f204]) ).
fof(f204,plain,
n16 = sum(n13,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f6962,plain,
( sum(n8,n8) != sum(n13,n3)
| ~ spl2_4
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6961,f125]) ).
fof(f6961,plain,
( sum(n8,n8) != sum(n13,sum(n11,n13))
| ~ spl2_4
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6960,f691]) ).
fof(f691,plain,
n8 = sum(n16,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f6960,plain,
( sum(n13,sum(n11,n13)) != sum(sum(n16,n13),n8)
| ~ spl2_4
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6959,f422]) ).
fof(f422,plain,
n8 = sum(n11,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f6959,plain,
( sum(n13,sum(n11,n13)) != sum(sum(n16,n13),sum(n11,n18))
| ~ spl2_4
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6958,f278]) ).
fof(f6958,plain,
( sum(sum(n16,succ(n12)),sum(n11,n18)) != sum(n13,sum(n11,succ(n12)))
| ~ spl2_4
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6957,f347]) ).
fof(f6957,plain,
( sum(n13,sum(pred(n12),succ(n12))) != sum(sum(n16,succ(n12)),sum(pred(n12),n18))
| ~ spl2_4
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6652,f715]) ).
fof(f6941,plain,
( ~ spl2_8
| ~ spl2_41 ),
inference(avatar_contradiction_clause,[],[f6940]) ).
fof(f6940,plain,
( $false
| ~ spl2_8
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f6939]) ).
fof(f6939,plain,
( n11 != n11
| ~ spl2_8
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6938,f690]) ).
fof(f690,plain,
n11 = sum(n13,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f6938,plain,
( n11 != sum(n13,n19)
| ~ spl2_8
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6937,f193]) ).
fof(f6937,plain,
( sum(n13,n19) != sum(n16,n16)
| ~ spl2_8
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6936,f154]) ).
fof(f6936,plain,
( sum(n13,n19) != sum(sum(n16,n0),n16)
| ~ spl2_8
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6935,f323]) ).
fof(f6935,plain,
( sum(sum(n16,n0),n16) != sum(n13,sum(n19,n0))
| ~ spl2_8
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6934,f572]) ).
fof(f572,plain,
n16 = sum(n19,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f6934,plain,
( sum(n13,sum(n19,n0)) != sum(sum(n16,n0),sum(n19,n18))
| ~ spl2_8
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6933,f214]) ).
fof(f6933,plain,
( sum(n13,sum(pred(n20),n0)) != sum(sum(n16,n0),sum(pred(n20),n18))
| ~ spl2_8
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6932,f580]) ).
fof(f6932,plain,
( sum(sum(n16,succ(n20)),sum(pred(n20),n18)) != sum(n13,sum(pred(n20),succ(n20)))
| ~ spl2_8
| ~ spl2_41 ),
inference(backward_demodulation,[],[f6652,f731]) ).
fof(f6916,plain,
( ~ spl2_6
| ~ spl2_41 ),
inference(avatar_contradiction_clause,[],[f6915]) ).
fof(f6915,plain,
( $false
| ~ spl2_6
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f6914]) ).
fof(f6914,plain,
( n14 != n14
| ~ spl2_6
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6913,f395]) ).
fof(f6913,plain,
( n14 != sum(n7,n7)
| ~ spl2_6
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6912,f367]) ).
fof(f367,plain,
n14 = sum(n13,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f6912,plain,
( sum(n7,n7) != sum(n13,n1)
| ~ spl2_6
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6911,f21]) ).
fof(f6911,plain,
( sum(n7,n7) != sum(n13,sum(n10,n12))
| ~ spl2_6
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6910,f444]) ).
fof(f6910,plain,
( sum(n13,sum(n10,n12)) != sum(sum(n16,n12),n7)
| ~ spl2_6
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6909,f295]) ).
fof(f295,plain,
n7 = sum(n10,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f6909,plain,
( sum(n13,sum(n10,n12)) != sum(sum(n16,n12),sum(n10,n18))
| ~ spl2_6
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6908,f266]) ).
fof(f6908,plain,
( sum(sum(n16,n12),sum(pred(n11),n18)) != sum(n13,sum(pred(n11),n12))
| ~ spl2_6
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6907,f641]) ).
fof(f6907,plain,
( sum(sum(n16,succ(n11)),sum(pred(n11),n18)) != sum(n13,sum(pred(n11),succ(n11)))
| ~ spl2_6
| ~ spl2_41 ),
inference(backward_demodulation,[],[f6652,f723]) ).
fof(f6892,plain,
( ~ spl2_12
| ~ spl2_41 ),
inference(avatar_contradiction_clause,[],[f6891]) ).
fof(f6891,plain,
( $false
| ~ spl2_12
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f6890]) ).
fof(f6890,plain,
( n9 != n9
| ~ spl2_12
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6889,f325]) ).
fof(f325,plain,
n9 = sum(n13,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f6889,plain,
( n9 != sum(n13,n17)
| ~ spl2_12
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6888,f318]) ).
fof(f6888,plain,
( sum(n13,n17) != sum(n15,n15)
| ~ spl2_12
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6887,f335]) ).
fof(f6887,plain,
( sum(n13,n17) != sum(sum(n16,n20),n15)
| ~ spl2_12
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6886,f679]) ).
fof(f6886,plain,
( sum(n13,n17) != sum(sum(n16,n20),sum(n18,n18))
| ~ spl2_12
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6885,f153]) ).
fof(f6885,plain,
( sum(sum(n16,n20),sum(n18,n18)) != sum(n13,sum(n18,n20))
| ~ spl2_12
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6884,f350]) ).
fof(f6884,plain,
( sum(sum(n16,n20),sum(pred(n19),n18)) != sum(n13,sum(pred(n19),n20))
| ~ spl2_12
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6883,f508]) ).
fof(f6883,plain,
( sum(sum(n16,succ(n19)),sum(pred(n19),n18)) != sum(n13,sum(pred(n19),succ(n19)))
| ~ spl2_12
| ~ spl2_41 ),
inference(backward_demodulation,[],[f6652,f747]) ).
fof(f6862,plain,
( ~ spl2_5
| ~ spl2_41 ),
inference(avatar_contradiction_clause,[],[f6861]) ).
fof(f6861,plain,
( $false
| ~ spl2_5
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f6860]) ).
fof(f6860,plain,
( n6 != n6
| ~ spl2_5
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6859,f419]) ).
fof(f6859,plain,
( n6 != sum(n3,n3)
| ~ spl2_5
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6858,f130]) ).
fof(f130,plain,
n6 = sum(n13,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f6858,plain,
( sum(n3,n3) != sum(n13,n14)
| ~ spl2_5
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6857,f539]) ).
fof(f539,plain,
n3 = sum(n16,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f6857,plain,
( sum(n13,n14) != sum(sum(n16,n8),n3)
| ~ spl2_5
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6856,f52]) ).
fof(f52,plain,
n3 = sum(n6,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f6856,plain,
( sum(n13,n14) != sum(sum(n16,n8),sum(n6,n18))
| ~ spl2_5
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6855,f496]) ).
fof(f6855,plain,
( sum(sum(n16,n8),sum(n6,n18)) != sum(n13,sum(n6,n8))
| ~ spl2_5
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6854,f519]) ).
fof(f6854,plain,
( sum(n13,sum(pred(n7),n8)) != sum(sum(n16,n8),sum(pred(n7),n18))
| ~ spl2_5
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6853,f302]) ).
fof(f6853,plain,
( sum(sum(n16,succ(n7)),sum(pred(n7),n18)) != sum(n13,sum(pred(n7),succ(n7)))
| ~ spl2_5
| ~ spl2_41 ),
inference(backward_demodulation,[],[f6652,f719]) ).
fof(f6837,plain,
( ~ spl2_10
| ~ spl2_41 ),
inference(avatar_contradiction_clause,[],[f6836]) ).
fof(f6836,plain,
( $false
| ~ spl2_10
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f6835]) ).
fof(f6835,plain,
( n12 != n12
| ~ spl2_10
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6834,f316]) ).
fof(f6834,plain,
( n12 != sum(n6,n6)
| ~ spl2_10
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6833,f571]) ).
fof(f571,plain,
n12 = sum(n13,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f6833,plain,
( sum(n6,n6) != sum(n13,n20)
| ~ spl2_10
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6832,f661]) ).
fof(f6832,plain,
( sum(n13,n20) != sum(sum(n16,n11),n6)
| ~ spl2_10
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6831,f370]) ).
fof(f370,plain,
n6 = sum(n9,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f6831,plain,
( sum(n13,n20) != sum(sum(n16,n11),sum(n9,n18))
| ~ spl2_10
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6830,f16]) ).
fof(f6830,plain,
( sum(sum(n16,n11),sum(n9,n18)) != sum(n13,sum(n9,n11))
| ~ spl2_10
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6829,f693]) ).
fof(f6829,plain,
( sum(sum(n16,n11),sum(pred(n10),n18)) != sum(n13,sum(pred(n10),n11))
| ~ spl2_10
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6828,f114]) ).
fof(f6828,plain,
( sum(sum(n16,succ(n10)),sum(pred(n10),n18)) != sum(n13,sum(pred(n10),succ(n10)))
| ~ spl2_10
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6652,f739]) ).
fof(f6800,plain,
( ~ spl2_15
| ~ spl2_41 ),
inference(avatar_contradiction_clause,[],[f6799]) ).
fof(f6799,plain,
( $false
| ~ spl2_15
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f6798]) ).
fof(f6798,plain,
( n7 != n7
| ~ spl2_15
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6797,f187]) ).
fof(f187,plain,
n7 = sum(n13,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f6797,plain,
( n7 != sum(n13,n15)
| ~ spl2_15
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6796,f243]) ).
fof(f6796,plain,
( sum(n13,n15) != sum(n14,n14)
| ~ spl2_15
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6795,f683]) ).
fof(f6795,plain,
( sum(n13,n15) != sum(sum(n16,n19),n14)
| ~ spl2_15
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6794,f376]) ).
fof(f376,plain,
n14 = sum(n17,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f6794,plain,
( sum(n13,n15) != sum(sum(n16,n19),sum(n17,n18))
| ~ spl2_15
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6793,f402]) ).
fof(f6793,plain,
( sum(sum(n16,n19),sum(n17,n18)) != sum(n13,sum(n17,n19))
| ~ spl2_15
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6792,f651]) ).
fof(f6792,plain,
( sum(sum(n16,n19),sum(pred(n18),n18)) != sum(n13,sum(pred(n18),n19))
| ~ spl2_15
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6791,f40]) ).
fof(f6791,plain,
( sum(sum(n16,succ(n18)),sum(pred(n18),n18)) != sum(n13,sum(pred(n18),succ(n18)))
| ~ spl2_15
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6652,f759]) ).
fof(f6779,plain,
( ~ spl2_9
| ~ spl2_41 ),
inference(avatar_contradiction_clause,[],[f6778]) ).
fof(f6778,plain,
( $false
| ~ spl2_9
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f6777]) ).
fof(f6777,plain,
( n8 != n8
| ~ spl2_9
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6776,f157]) ).
fof(f6776,plain,
( n8 != sum(n4,n4)
| ~ spl2_9
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6775,f413]) ).
fof(f413,plain,
n8 = sum(n13,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f6775,plain,
( sum(n4,n4) != sum(n13,n16)
| ~ spl2_9
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6774,f687]) ).
fof(f6774,plain,
( sum(n13,n16) != sum(sum(n16,n9),n4)
| ~ spl2_9
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6773,f469]) ).
fof(f469,plain,
n4 = sum(n7,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f6773,plain,
( sum(n13,n16) != sum(sum(n16,n9),sum(n7,n18))
| ~ spl2_9
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6772,f648]) ).
fof(f6772,plain,
( sum(sum(n16,n9),sum(n7,n18)) != sum(n13,sum(n7,n9))
| ~ spl2_9
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6771,f474]) ).
fof(f6771,plain,
( sum(sum(n16,succ(n8)),sum(n7,n18)) != sum(n13,sum(n7,succ(n8)))
| ~ spl2_9
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6770,f607]) ).
fof(f6770,plain,
( sum(n13,sum(pred(n8),succ(n8))) != sum(sum(n16,succ(n8)),sum(pred(n8),n18))
| ~ spl2_9
| ~ spl2_41 ),
inference(backward_demodulation,[],[f6652,f735]) ).
fof(f6749,plain,
( ~ spl2_7
| ~ spl2_41 ),
inference(avatar_contradiction_clause,[],[f6748]) ).
fof(f6748,plain,
( $false
| ~ spl2_7
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f6747]) ).
fof(f6747,plain,
( n13 != n13
| ~ spl2_7
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6746,f267]) ).
fof(f267,plain,
n13 = sum(n13,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f6746,plain,
( n13 != sum(n13,n0)
| ~ spl2_7
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6745,f106]) ).
fof(f6745,plain,
( sum(n13,n0) != sum(n17,n17)
| ~ spl2_7
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6744,f9]) ).
fof(f6744,plain,
( sum(n13,n0) != sum(sum(n16,n1),n17)
| ~ spl2_7
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6743,f510]) ).
fof(f6743,plain,
( sum(sum(n16,n1),n17) != sum(n13,sum(n20,n1))
| ~ spl2_7
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6742,f13]) ).
fof(f13,plain,
n17 = sum(n20,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f6742,plain,
( sum(n13,sum(n20,n1)) != sum(sum(n16,n1),sum(n20,n18))
| ~ spl2_7
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6741,f358]) ).
fof(f6741,plain,
( sum(n13,sum(pred(n0),n1)) != sum(sum(n16,n1),sum(pred(n0),n18))
| ~ spl2_7
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6740,f192]) ).
fof(f6740,plain,
( sum(sum(n16,succ(n0)),sum(pred(n0),n18)) != sum(n13,sum(pred(n0),succ(n0)))
| ~ spl2_7
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6652,f727]) ).
fof(f6718,plain,
( ~ spl2_11
| ~ spl2_41 ),
inference(avatar_contradiction_clause,[],[f6717]) ).
fof(f6717,plain,
( $false
| ~ spl2_11
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f6716]) ).
fof(f6716,plain,
( n3 != n3
| ~ spl2_11
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6715,f546]) ).
fof(f6715,plain,
( n3 != sum(n12,n12)
| ~ spl2_11
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6714,f644]) ).
fof(f644,plain,
n3 = sum(n13,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f6714,plain,
( sum(n12,n12) != sum(n13,n11)
| ~ spl2_11
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6713,f5]) ).
fof(f6713,plain,
( sum(n13,n11) != sum(sum(n16,n17),n12)
| ~ spl2_11
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6712,f383]) ).
fof(f6712,plain,
( sum(sum(n16,n17),n12) != sum(n13,sum(n15,n17))
| ~ spl2_11
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6711,f312]) ).
fof(f312,plain,
n12 = sum(n15,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f6711,plain,
( sum(n13,sum(n15,n17)) != sum(sum(n16,n17),sum(n15,n18))
| ~ spl2_11
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6710,f418]) ).
fof(f6710,plain,
( sum(sum(n16,n17),sum(pred(n16),n18)) != sum(n13,sum(pred(n16),n17))
| ~ spl2_11
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6709,f233]) ).
fof(f6709,plain,
( sum(sum(n16,succ(n16)),sum(pred(n16),n18)) != sum(n13,sum(pred(n16),succ(n16)))
| ~ spl2_11
| ~ spl2_41 ),
inference(backward_demodulation,[],[f6652,f743]) ).
fof(f6671,plain,
( ~ spl2_14
| ~ spl2_41 ),
inference(avatar_contradiction_clause,[],[f6670]) ).
fof(f6670,plain,
( $false
| ~ spl2_14
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f6669]) ).
fof(f6669,plain,
( n4 != n4
| ~ spl2_14
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6668,f489]) ).
fof(f6668,plain,
( n4 != sum(n2,n2)
| ~ spl2_14
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6667,f643]) ).
fof(f643,plain,
n4 = sum(n13,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f6667,plain,
( sum(n2,n2) != sum(n13,n12)
| ~ spl2_14
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6666,f689]) ).
fof(f689,plain,
n2 = sum(n16,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f6666,plain,
( sum(n13,n12) != sum(sum(n16,n7),n2)
| ~ spl2_14
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6665,f511]) ).
fof(f6665,plain,
( sum(sum(n16,n7),n2) != sum(n13,sum(n5,n7))
| ~ spl2_14
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6664,f457]) ).
fof(f6664,plain,
( sum(sum(n16,succ(n6)),n2) != sum(n13,sum(n5,succ(n6)))
| ~ spl2_14
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6663,f577]) ).
fof(f577,plain,
n2 = sum(n5,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f6663,plain,
( sum(n13,sum(n5,succ(n6))) != sum(sum(n16,succ(n6)),sum(n5,n18))
| ~ spl2_14
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6662,f530]) ).
fof(f6662,plain,
( sum(n13,sum(pred(n6),succ(n6))) != sum(sum(n16,succ(n6)),sum(pred(n6),n18))
| ~ spl2_14
| ~ spl2_41 ),
inference(backward_demodulation,[],[f6652,f755]) ).
fof(f6632,plain,
( ~ spl2_20
| ~ spl2_38 ),
inference(avatar_contradiction_clause,[],[f6631]) ).
fof(f6631,plain,
( $false
| ~ spl2_20
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f6630]) ).
fof(f6630,plain,
( n15 != n15
| ~ spl2_20
| ~ spl2_38 ),
inference(forward_demodulation,[],[f6629,f45]) ).
fof(f6629,plain,
( n15 != sum(n2,n13)
| ~ spl2_20
| ~ spl2_38 ),
inference(forward_demodulation,[],[f6628,f679]) ).
fof(f6628,plain,
( sum(n2,n13) != sum(n18,n18)
| ~ spl2_20
| ~ spl2_38 ),
inference(forward_demodulation,[],[f6627,f366]) ).
fof(f366,plain,
n18 = sum(n0,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f6627,plain,
( sum(n2,n13) != sum(sum(n0,n18),n18)
| ~ spl2_20
| ~ spl2_38 ),
inference(forward_demodulation,[],[f6626,f190]) ).
fof(f6626,plain,
( sum(sum(n0,n18),n18) != sum(sum(n0,n2),n13)
| ~ spl2_20
| ~ spl2_38 ),
inference(forward_demodulation,[],[f6625,f598]) ).
fof(f6625,plain,
( sum(sum(pred(n1),n2),n13) != sum(sum(pred(n1),n18),n18)
| ~ spl2_20
| ~ spl2_38 ),
inference(forward_demodulation,[],[f6624,f612]) ).
fof(f612,plain,
n18 = sum(n16,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f6624,plain,
( sum(sum(pred(n1),n2),n13) != sum(sum(pred(n1),n18),sum(n16,n2))
| ~ spl2_20
| ~ spl2_38 ),
inference(forward_demodulation,[],[f6623,f677]) ).
fof(f6623,plain,
( sum(sum(pred(n1),n18),sum(n16,succ(n1))) != sum(sum(pred(n1),succ(n1)),n13)
| ~ spl2_20
| ~ spl2_38 ),
inference(backward_demodulation,[],[f6204,f852]) ).
fof(f6204,plain,
( sum(sum(pred(sK0),n18),sum(n16,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n13)
| ~ spl2_20 ),
inference(forward_demodulation,[],[f6203,f123]) ).
fof(f6203,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(n16,n18)) != sum(sum(pred(sK0),n18),sum(n16,succ(sK0)))
| ~ spl2_20 ),
inference(forward_demodulation,[],[f6187,f288]) ).
fof(f6187,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n17),n18)) != sum(sum(pred(sK0),n18),sum(pred(n17),succ(sK0)))
| ~ spl2_20 ),
inference(forward_demodulation,[],[f6186,f657]) ).
fof(f6186,plain,
( sum(sum(pred(sK0),succ(n17)),sum(pred(n17),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n17),succ(n17)))
| ~ spl2_20 ),
inference(forward_demodulation,[],[f346,f779]) ).
fof(f779,plain,
( n17 = sK1
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f777,plain,
( spl2_20
<=> n17 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).
fof(f6608,plain,
( ~ spl2_20
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f6607]) ).
fof(f6607,plain,
( $false
| ~ spl2_20
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f6606]) ).
fof(f6606,plain,
( n19 != n19
| ~ spl2_20
| ~ spl2_29 ),
inference(forward_demodulation,[],[f6605,f609]) ).
fof(f6605,plain,
( n19 != sum(n6,n13)
| ~ spl2_20
| ~ spl2_29 ),
inference(forward_demodulation,[],[f6604,f119]) ).
fof(f6604,plain,
( sum(n6,n13) != sum(n20,n20)
| ~ spl2_20
| ~ spl2_29 ),
inference(forward_demodulation,[],[f6603,f131]) ).
fof(f6603,plain,
( sum(n6,n13) != sum(sum(n2,n18),n20)
| ~ spl2_20
| ~ spl2_29 ),
inference(forward_demodulation,[],[f6602,f168]) ).
fof(f6602,plain,
( sum(n6,n13) != sum(sum(n2,n18),sum(n16,n4))
| ~ spl2_20
| ~ spl2_29 ),
inference(forward_demodulation,[],[f6601,f533]) ).
fof(f6601,plain,
( sum(sum(n2,n18),sum(n16,n4)) != sum(sum(n2,n4),n13)
| ~ spl2_20
| ~ spl2_29 ),
inference(forward_demodulation,[],[f6600,f174]) ).
fof(f6600,plain,
( sum(sum(pred(n3),n18),sum(n16,n4)) != sum(sum(pred(n3),n4),n13)
| ~ spl2_20
| ~ spl2_29 ),
inference(forward_demodulation,[],[f6599,f447]) ).
fof(f6599,plain,
( sum(sum(pred(n3),succ(n3)),n13) != sum(sum(pred(n3),n18),sum(n16,succ(n3)))
| ~ spl2_20
| ~ spl2_29 ),
inference(backward_demodulation,[],[f6204,f816]) ).
fof(f6576,plain,
( ~ spl2_20
| ~ spl2_23 ),
inference(avatar_contradiction_clause,[],[f6575]) ).
fof(f6575,plain,
( $false
| ~ spl2_20
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f6574]) ).
fof(f6574,plain,
( n17 != n17
| ~ spl2_20
| ~ spl2_23 ),
inference(forward_demodulation,[],[f6573,f576]) ).
fof(f6573,plain,
( n17 != sum(n4,n13)
| ~ spl2_20
| ~ spl2_23 ),
inference(forward_demodulation,[],[f6572,f210]) ).
fof(f6572,plain,
( sum(n4,n13) != sum(n19,n19)
| ~ spl2_20
| ~ spl2_23 ),
inference(forward_demodulation,[],[f6571,f141]) ).
fof(f6571,plain,
( sum(n19,n19) != sum(sum(n1,n3),n13)
| ~ spl2_20
| ~ spl2_23 ),
inference(forward_demodulation,[],[f6570,f132]) ).
fof(f132,plain,
n19 = sum(n1,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f6570,plain,
( sum(sum(n1,n3),n13) != sum(sum(n1,n18),n19)
| ~ spl2_20
| ~ spl2_23 ),
inference(forward_demodulation,[],[f6569,f382]) ).
fof(f6569,plain,
( sum(sum(n1,n3),n13) != sum(sum(n1,n18),sum(n16,n3))
| ~ spl2_20
| ~ spl2_23 ),
inference(forward_demodulation,[],[f6568,f231]) ).
fof(f6568,plain,
( sum(sum(pred(n2),n18),sum(n16,n3)) != sum(sum(pred(n2),n3),n13)
| ~ spl2_20
| ~ spl2_23 ),
inference(forward_demodulation,[],[f6567,f184]) ).
fof(f6567,plain,
( sum(sum(pred(n2),succ(n2)),n13) != sum(sum(pred(n2),n18),sum(n16,succ(n2)))
| ~ spl2_20
| ~ spl2_23 ),
inference(backward_demodulation,[],[f6204,f792]) ).
fof(f6541,plain,
( ~ spl2_20
| ~ spl2_34 ),
inference(avatar_contradiction_clause,[],[f6540]) ).
fof(f6540,plain,
( $false
| ~ spl2_20
| ~ spl2_34 ),
inference(trivial_inequality_removal,[],[f6539]) ).
fof(f6539,plain,
( n13 != n13
| ~ spl2_20
| ~ spl2_34 ),
inference(forward_demodulation,[],[f6538,f173]) ).
fof(f6538,plain,
( n13 != sum(n0,n13)
| ~ spl2_20
| ~ spl2_34 ),
inference(forward_demodulation,[],[f6537,f106]) ).
fof(f6537,plain,
( sum(n0,n13) != sum(n17,n17)
| ~ spl2_20
| ~ spl2_34 ),
inference(forward_demodulation,[],[f6536,f510]) ).
fof(f6536,plain,
( sum(n17,n17) != sum(sum(n20,n1),n13)
| ~ spl2_20
| ~ spl2_34 ),
inference(forward_demodulation,[],[f6535,f13]) ).
fof(f6535,plain,
( sum(sum(n20,n1),n13) != sum(sum(n20,n18),n17)
| ~ spl2_20
| ~ spl2_34 ),
inference(forward_demodulation,[],[f6534,f358]) ).
fof(f6534,plain,
( sum(sum(pred(n0),n1),n13) != sum(sum(pred(n0),n18),n17)
| ~ spl2_20
| ~ spl2_34 ),
inference(forward_demodulation,[],[f6533,f9]) ).
fof(f6533,plain,
( sum(sum(pred(n0),n1),n13) != sum(sum(pred(n0),n18),sum(n16,n1))
| ~ spl2_20
| ~ spl2_34 ),
inference(forward_demodulation,[],[f6532,f192]) ).
fof(f6532,plain,
( sum(sum(pred(n0),n18),sum(n16,succ(n0))) != sum(sum(pred(n0),succ(n0)),n13)
| ~ spl2_20
| ~ spl2_34 ),
inference(backward_demodulation,[],[f6204,f836]) ).
fof(f6513,plain,
( ~ spl2_20
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f6512]) ).
fof(f6512,plain,
( $false
| ~ spl2_20
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f6511]) ).
fof(f6511,plain,
( n12 != n12
| ~ spl2_20
| ~ spl2_42 ),
inference(forward_demodulation,[],[f6510,f316]) ).
fof(f6510,plain,
( n12 != sum(n6,n6)
| ~ spl2_20
| ~ spl2_42 ),
inference(forward_demodulation,[],[f6509,f159]) ).
fof(f6509,plain,
( sum(n6,n6) != sum(n20,n13)
| ~ spl2_20
| ~ spl2_42 ),
inference(forward_demodulation,[],[f6508,f370]) ).
fof(f6508,plain,
( sum(n20,n13) != sum(sum(n9,n18),n6)
| ~ spl2_20
| ~ spl2_42 ),
inference(forward_demodulation,[],[f6507,f16]) ).
fof(f6507,plain,
( sum(sum(n9,n18),n6) != sum(sum(n9,n11),n13)
| ~ spl2_20
| ~ spl2_42 ),
inference(forward_demodulation,[],[f6506,f661]) ).
fof(f6506,plain,
( sum(sum(n9,n11),n13) != sum(sum(n9,n18),sum(n16,n11))
| ~ spl2_20
| ~ spl2_42 ),
inference(forward_demodulation,[],[f6505,f693]) ).
fof(f6505,plain,
( sum(sum(pred(n10),n18),sum(n16,n11)) != sum(sum(pred(n10),n11),n13)
| ~ spl2_20
| ~ spl2_42 ),
inference(forward_demodulation,[],[f6504,f114]) ).
fof(f6504,plain,
( sum(sum(pred(n10),succ(n10)),n13) != sum(sum(pred(n10),n18),sum(n16,succ(n10)))
| ~ spl2_20
| ~ spl2_42 ),
inference(forward_demodulation,[],[f6204,f868]) ).
fof(f6487,plain,
( ~ spl2_20
| ~ spl2_40 ),
inference(avatar_contradiction_clause,[],[f6486]) ).
fof(f6486,plain,
( $false
| ~ spl2_20
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f6485]) ).
fof(f6485,plain,
( n7 != n7
| ~ spl2_20
| ~ spl2_40 ),
inference(forward_demodulation,[],[f6484,f243]) ).
fof(f6484,plain,
( n7 != sum(n14,n14)
| ~ spl2_20
| ~ spl2_40 ),
inference(forward_demodulation,[],[f6483,f120]) ).
fof(f6483,plain,
( sum(n14,n14) != sum(n15,n13)
| ~ spl2_20
| ~ spl2_40 ),
inference(forward_demodulation,[],[f6482,f402]) ).
fof(f6482,plain,
( sum(n14,n14) != sum(sum(n17,n19),n13)
| ~ spl2_20
| ~ spl2_40 ),
inference(forward_demodulation,[],[f6481,f376]) ).
fof(f6481,plain,
( sum(sum(n17,n19),n13) != sum(sum(n17,n18),n14)
| ~ spl2_20
| ~ spl2_40 ),
inference(forward_demodulation,[],[f6480,f651]) ).
fof(f6480,plain,
( sum(sum(pred(n18),n19),n13) != sum(sum(pred(n18),n18),n14)
| ~ spl2_20
| ~ spl2_40 ),
inference(forward_demodulation,[],[f6479,f683]) ).
fof(f6479,plain,
( sum(sum(pred(n18),n19),n13) != sum(sum(pred(n18),n18),sum(n16,n19))
| ~ spl2_20
| ~ spl2_40 ),
inference(forward_demodulation,[],[f6478,f40]) ).
fof(f6478,plain,
( sum(sum(pred(n18),succ(n18)),n13) != sum(sum(pred(n18),n18),sum(n16,succ(n18)))
| ~ spl2_20
| ~ spl2_40 ),
inference(backward_demodulation,[],[f6204,f860]) ).
fof(f6457,plain,
( ~ spl2_20
| ~ spl2_32 ),
inference(avatar_contradiction_clause,[],[f6456]) ).
fof(f6456,plain,
( $false
| ~ spl2_20
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f6455]) ).
fof(f6455,plain,
( n2 != n2
| ~ spl2_20
| ~ spl2_32 ),
inference(forward_demodulation,[],[f6454,f433]) ).
fof(f6454,plain,
( n2 != sum(n1,n1)
| ~ spl2_20
| ~ spl2_32 ),
inference(forward_demodulation,[],[f6453,f51]) ).
fof(f6453,plain,
( sum(n1,n1) != sum(n10,n13)
| ~ spl2_20
| ~ spl2_32 ),
inference(forward_demodulation,[],[f6452,f268]) ).
fof(f6452,plain,
( sum(n10,n13) != sum(sum(n4,n18),n1)
| ~ spl2_20
| ~ spl2_32 ),
inference(forward_demodulation,[],[f6451,f464]) ).
fof(f6451,plain,
( sum(sum(n4,n18),n1) != sum(sum(n4,n6),n13)
| ~ spl2_20
| ~ spl2_32 ),
inference(forward_demodulation,[],[f6450,f126]) ).
fof(f6450,plain,
( sum(sum(pred(n5),n6),n13) != sum(sum(pred(n5),n18),n1)
| ~ spl2_20
| ~ spl2_32 ),
inference(forward_demodulation,[],[f6449,f476]) ).
fof(f6449,plain,
( sum(sum(pred(n5),n6),n13) != sum(sum(pred(n5),n18),sum(n16,n6))
| ~ spl2_20
| ~ spl2_32 ),
inference(forward_demodulation,[],[f6448,f692]) ).
fof(f6448,plain,
( sum(sum(pred(n5),succ(n5)),n13) != sum(sum(pred(n5),n18),sum(n16,succ(n5)))
| ~ spl2_20
| ~ spl2_32 ),
inference(backward_demodulation,[],[f6204,f828]) ).
fof(f6424,plain,
( ~ spl2_20
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f6423]) ).
fof(f6423,plain,
( $false
| ~ spl2_20
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f6422]) ).
fof(f6422,plain,
( n16 != n16
| ~ spl2_20
| ~ spl2_24 ),
inference(forward_demodulation,[],[f6421,f559]) ).
fof(f559,plain,
n16 = sum(n3,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f6421,plain,
( n16 != sum(n3,n13)
| ~ spl2_20
| ~ spl2_24 ),
inference(forward_demodulation,[],[f6420,f177]) ).
fof(f6420,plain,
( sum(n3,n13) != sum(n8,n8)
| ~ spl2_20
| ~ spl2_24 ),
inference(forward_demodulation,[],[f6419,f422]) ).
fof(f6419,plain,
( sum(n3,n13) != sum(sum(n11,n18),n8)
| ~ spl2_20
| ~ spl2_24 ),
inference(forward_demodulation,[],[f6418,f125]) ).
fof(f6418,plain,
( sum(sum(n11,n18),n8) != sum(sum(n11,n13),n13)
| ~ spl2_20
| ~ spl2_24 ),
inference(forward_demodulation,[],[f6417,f347]) ).
fof(f6417,plain,
( sum(sum(pred(n12),n13),n13) != sum(sum(pred(n12),n18),n8)
| ~ spl2_20
| ~ spl2_24 ),
inference(forward_demodulation,[],[f6416,f691]) ).
fof(f6416,plain,
( sum(sum(pred(n12),n13),n13) != sum(sum(pred(n12),n18),sum(n16,n13))
| ~ spl2_20
| ~ spl2_24 ),
inference(forward_demodulation,[],[f6415,f278]) ).
fof(f6415,plain,
( sum(sum(pred(n12),n18),sum(n16,succ(n12))) != sum(sum(pred(n12),succ(n12)),n13)
| ~ spl2_20
| ~ spl2_24 ),
inference(backward_demodulation,[],[f6204,f796]) ).
fof(f6396,plain,
( ~ spl2_20
| ~ spl2_25 ),
inference(avatar_contradiction_clause,[],[f6395]) ).
fof(f6395,plain,
( $false
| ~ spl2_20
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f6394]) ).
fof(f6394,plain,
( n1 != n1
| ~ spl2_20
| ~ spl2_25 ),
inference(forward_demodulation,[],[f6393,f605]) ).
fof(f6393,plain,
( n1 != sum(n9,n13)
| ~ spl2_20
| ~ spl2_25 ),
inference(forward_demodulation,[],[f6392,f470]) ).
fof(f6392,plain,
( sum(n9,n13) != sum(n11,n11)
| ~ spl2_20
| ~ spl2_25 ),
inference(forward_demodulation,[],[f6391,f339]) ).
fof(f6391,plain,
( sum(n9,n13) != sum(sum(n14,n18),n11)
| ~ spl2_20
| ~ spl2_25 ),
inference(forward_demodulation,[],[f6390,f193]) ).
fof(f6390,plain,
( sum(n9,n13) != sum(sum(n14,n18),sum(n16,n16))
| ~ spl2_20
| ~ spl2_25 ),
inference(forward_demodulation,[],[f6389,f486]) ).
fof(f6389,plain,
( sum(sum(n14,n18),sum(n16,n16)) != sum(sum(n14,n16),n13)
| ~ spl2_20
| ~ spl2_25 ),
inference(forward_demodulation,[],[f6388,f562]) ).
fof(f6388,plain,
( sum(sum(pred(n15),n18),sum(n16,n16)) != sum(sum(pred(n15),n16),n13)
| ~ spl2_20
| ~ spl2_25 ),
inference(forward_demodulation,[],[f6387,f37]) ).
fof(f6387,plain,
( sum(sum(pred(n15),n18),sum(n16,succ(n15))) != sum(sum(pred(n15),succ(n15)),n13)
| ~ spl2_20
| ~ spl2_25 ),
inference(forward_demodulation,[],[f6204,f800]) ).
fof(f6367,plain,
( ~ spl2_20
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f6366]) ).
fof(f6366,plain,
( $false
| ~ spl2_20
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f6365]) ).
fof(f6365,plain,
( n8 != n8
| ~ spl2_20
| ~ spl2_22 ),
inference(forward_demodulation,[],[f6364,f157]) ).
fof(f6364,plain,
( n8 != sum(n4,n4)
| ~ spl2_20
| ~ spl2_22 ),
inference(forward_demodulation,[],[f6363,f691]) ).
fof(f6363,plain,
( sum(n4,n4) != sum(n16,n13)
| ~ spl2_20
| ~ spl2_22 ),
inference(forward_demodulation,[],[f6362,f648]) ).
fof(f6362,plain,
( sum(n4,n4) != sum(sum(n7,n9),n13)
| ~ spl2_20
| ~ spl2_22 ),
inference(forward_demodulation,[],[f6361,f469]) ).
fof(f6361,plain,
( sum(sum(n7,n9),n13) != sum(sum(n7,n18),n4)
| ~ spl2_20
| ~ spl2_22 ),
inference(forward_demodulation,[],[f6360,f687]) ).
fof(f6360,plain,
( sum(sum(n7,n9),n13) != sum(sum(n7,n18),sum(n16,n9))
| ~ spl2_20
| ~ spl2_22 ),
inference(forward_demodulation,[],[f6359,f607]) ).
fof(f6359,plain,
( sum(sum(pred(n8),n18),sum(n16,n9)) != sum(sum(pred(n8),n9),n13)
| ~ spl2_20
| ~ spl2_22 ),
inference(forward_demodulation,[],[f6358,f474]) ).
fof(f6358,plain,
( sum(sum(pred(n8),n18),sum(n16,succ(n8))) != sum(sum(pred(n8),succ(n8)),n13)
| ~ spl2_20
| ~ spl2_22 ),
inference(forward_demodulation,[],[f6204,f788]) ).
fof(f6338,plain,
( ~ spl2_20
| ~ spl2_41 ),
inference(avatar_contradiction_clause,[],[f6337]) ).
fof(f6337,plain,
( $false
| ~ spl2_20
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f6336]) ).
fof(f6336,plain,
( sum(sum(pred(n17),n18),n13) != sum(sum(pred(n17),n18),n13)
| ~ spl2_20
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6335,f123]) ).
fof(f6335,plain,
( sum(sum(pred(n17),n18),n13) != sum(sum(pred(n17),n18),sum(n16,n18))
| ~ spl2_20
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6334,f657]) ).
fof(f6334,plain,
( sum(sum(pred(n17),succ(n17)),n13) != sum(sum(pred(n17),n18),sum(n16,succ(n17)))
| ~ spl2_20
| ~ spl2_41 ),
inference(forward_demodulation,[],[f6204,f864]) ).
fof(f6308,plain,
( ~ spl2_20
| ~ spl2_26 ),
inference(avatar_contradiction_clause,[],[f6307]) ).
fof(f6307,plain,
( $false
| ~ spl2_20
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f6306]) ).
fof(f6306,plain,
( n11 != n11
| ~ spl2_20
| ~ spl2_26 ),
inference(forward_demodulation,[],[f6305,f193]) ).
fof(f6305,plain,
( n11 != sum(n16,n16)
| ~ spl2_20
| ~ spl2_26 ),
inference(forward_demodulation,[],[f6304,f499]) ).
fof(f6304,plain,
( sum(n16,n16) != sum(n19,n13)
| ~ spl2_20
| ~ spl2_26 ),
inference(forward_demodulation,[],[f6303,f323]) ).
fof(f6303,plain,
( sum(n16,n16) != sum(sum(n19,n0),n13)
| ~ spl2_20
| ~ spl2_26 ),
inference(forward_demodulation,[],[f6302,f572]) ).
fof(f6302,plain,
( sum(sum(n19,n0),n13) != sum(sum(n19,n18),n16)
| ~ spl2_20
| ~ spl2_26 ),
inference(forward_demodulation,[],[f6301,f154]) ).
fof(f6301,plain,
( sum(sum(n19,n0),n13) != sum(sum(n19,n18),sum(n16,n0))
| ~ spl2_20
| ~ spl2_26 ),
inference(forward_demodulation,[],[f6300,f214]) ).
fof(f6300,plain,
( sum(sum(pred(n20),n18),sum(n16,n0)) != sum(sum(pred(n20),n0),n13)
| ~ spl2_20
| ~ spl2_26 ),
inference(forward_demodulation,[],[f6299,f580]) ).
fof(f6299,plain,
( sum(sum(pred(n20),n18),sum(n16,succ(n20))) != sum(sum(pred(n20),succ(n20)),n13)
| ~ spl2_20
| ~ spl2_26 ),
inference(backward_demodulation,[],[f6204,f804]) ).
fof(f6291,plain,
( ~ spl2_20
| ~ spl2_36 ),
inference(avatar_contradiction_clause,[],[f6290]) ).
fof(f6290,plain,
( $false
| ~ spl2_20
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f6289]) ).
fof(f6289,plain,
( n10 != n10
| ~ spl2_20
| ~ spl2_36 ),
inference(forward_demodulation,[],[f6288,f230]) ).
fof(f6288,plain,
( n10 != sum(n5,n5)
| ~ spl2_20
| ~ spl2_36 ),
inference(forward_demodulation,[],[f6287,f98]) ).
fof(f6287,plain,
( sum(n5,n5) != sum(n18,n13)
| ~ spl2_20
| ~ spl2_36 ),
inference(forward_demodulation,[],[f6286,f391]) ).
fof(f6286,plain,
( sum(n5,n5) != sum(sum(n8,n10),n13)
| ~ spl2_20
| ~ spl2_36 ),
inference(forward_demodulation,[],[f6285,f535]) ).
fof(f535,plain,
n5 = sum(n8,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f6285,plain,
( sum(sum(n8,n10),n13) != sum(sum(n8,n18),n5)
| ~ spl2_20
| ~ spl2_36 ),
inference(forward_demodulation,[],[f6284,f333]) ).
fof(f6284,plain,
( sum(sum(pred(n9),n10),n13) != sum(sum(pred(n9),n18),n5)
| ~ spl2_20
| ~ spl2_36 ),
inference(forward_demodulation,[],[f6283,f327]) ).
fof(f6283,plain,
( sum(sum(pred(n9),n10),n13) != sum(sum(pred(n9),n18),sum(n16,n10))
| ~ spl2_20
| ~ spl2_36 ),
inference(forward_demodulation,[],[f6282,f699]) ).
fof(f6282,plain,
( sum(sum(pred(n9),succ(n9)),n13) != sum(sum(pred(n9),n18),sum(n16,succ(n9)))
| ~ spl2_20
| ~ spl2_36 ),
inference(backward_demodulation,[],[f6204,f844]) ).
fof(f6260,plain,
( ~ spl2_20
| ~ spl2_27 ),
inference(avatar_contradiction_clause,[],[f6259]) ).
fof(f6259,plain,
( $false
| ~ spl2_20
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f6258]) ).
fof(f6258,plain,
( n14 != n14
| ~ spl2_20
| ~ spl2_27 ),
inference(forward_demodulation,[],[f6257,f42]) ).
fof(f6257,plain,
( n14 != sum(n1,n13)
| ~ spl2_20
| ~ spl2_27 ),
inference(forward_demodulation,[],[f6256,f395]) ).
fof(f6256,plain,
( sum(n1,n13) != sum(n7,n7)
| ~ spl2_20
| ~ spl2_27 ),
inference(forward_demodulation,[],[f6255,f21]) ).
fof(f6255,plain,
( sum(n7,n7) != sum(sum(n10,n12),n13)
| ~ spl2_20
| ~ spl2_27 ),
inference(forward_demodulation,[],[f6254,f295]) ).
fof(f6254,plain,
( sum(sum(n10,n12),n13) != sum(sum(n10,n18),n7)
| ~ spl2_20
| ~ spl2_27 ),
inference(forward_demodulation,[],[f6253,f266]) ).
fof(f6253,plain,
( sum(sum(pred(n11),n12),n13) != sum(sum(pred(n11),n18),n7)
| ~ spl2_20
| ~ spl2_27 ),
inference(forward_demodulation,[],[f6252,f444]) ).
fof(f6252,plain,
( sum(sum(pred(n11),n12),n13) != sum(sum(pred(n11),n18),sum(n16,n12))
| ~ spl2_20
| ~ spl2_27 ),
inference(forward_demodulation,[],[f6251,f641]) ).
fof(f6251,plain,
( sum(sum(pred(n11),n18),sum(n16,succ(n11))) != sum(sum(pred(n11),succ(n11)),n13)
| ~ spl2_20
| ~ spl2_27 ),
inference(backward_demodulation,[],[f6204,f808]) ).
fof(f6220,plain,
( ~ spl2_20
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f6219]) ).
fof(f6219,plain,
( $false
| ~ spl2_20
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f6218]) ).
fof(f6218,plain,
( n4 != n4
| ~ spl2_20
| ~ spl2_28 ),
inference(forward_demodulation,[],[f6217,f489]) ).
fof(f6217,plain,
( n4 != sum(n2,n2)
| ~ spl2_20
| ~ spl2_28 ),
inference(forward_demodulation,[],[f6216,f371]) ).
fof(f6216,plain,
( sum(n2,n2) != sum(n12,n13)
| ~ spl2_20
| ~ spl2_28 ),
inference(forward_demodulation,[],[f6215,f511]) ).
fof(f6215,plain,
( sum(n2,n2) != sum(sum(n5,n7),n13)
| ~ spl2_20
| ~ spl2_28 ),
inference(forward_demodulation,[],[f6214,f577]) ).
fof(f6214,plain,
( sum(sum(n5,n7),n13) != sum(sum(n5,n18),n2)
| ~ spl2_20
| ~ spl2_28 ),
inference(forward_demodulation,[],[f6213,f689]) ).
fof(f6213,plain,
( sum(sum(n5,n7),n13) != sum(sum(n5,n18),sum(n16,n7))
| ~ spl2_20
| ~ spl2_28 ),
inference(forward_demodulation,[],[f6212,f530]) ).
fof(f6212,plain,
( sum(sum(pred(n6),n18),sum(n16,n7)) != sum(sum(pred(n6),n7),n13)
| ~ spl2_20
| ~ spl2_28 ),
inference(forward_demodulation,[],[f6211,f457]) ).
fof(f6211,plain,
( sum(sum(pred(n6),succ(n6)),n13) != sum(sum(pred(n6),n18),sum(n16,succ(n6)))
| ~ spl2_20
| ~ spl2_28 ),
inference(backward_demodulation,[],[f6204,f812]) ).
fof(f6199,plain,
( ~ spl2_20
| ~ spl2_30 ),
inference(avatar_contradiction_clause,[],[f6198]) ).
fof(f6198,plain,
( $false
| ~ spl2_20
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f6197]) ).
fof(f6197,plain,
( n6 != n6
| ~ spl2_20
| ~ spl2_30 ),
inference(forward_demodulation,[],[f6196,f419]) ).
fof(f6196,plain,
( n6 != sum(n3,n3)
| ~ spl2_20
| ~ spl2_30 ),
inference(forward_demodulation,[],[f6195,f349]) ).
fof(f6195,plain,
( sum(n3,n3) != sum(n14,n13)
| ~ spl2_20
| ~ spl2_30 ),
inference(forward_demodulation,[],[f6194,f52]) ).
fof(f6194,plain,
( sum(n14,n13) != sum(sum(n6,n18),n3)
| ~ spl2_20
| ~ spl2_30 ),
inference(forward_demodulation,[],[f6193,f496]) ).
fof(f6193,plain,
( sum(sum(n6,n18),n3) != sum(sum(n6,n8),n13)
| ~ spl2_20
| ~ spl2_30 ),
inference(forward_demodulation,[],[f6192,f123]) ).
fof(f6192,plain,
( sum(sum(n6,n18),n3) != sum(sum(n6,n8),sum(n16,n18))
| ~ spl2_20
| ~ spl2_30 ),
inference(forward_demodulation,[],[f6191,f519]) ).
fof(f6191,plain,
( sum(sum(pred(n7),n8),sum(n16,n18)) != sum(sum(pred(n7),n18),n3)
| ~ spl2_20
| ~ spl2_30 ),
inference(forward_demodulation,[],[f6190,f539]) ).
fof(f6190,plain,
( sum(sum(pred(n7),n8),sum(n16,n18)) != sum(sum(pred(n7),n18),sum(n16,n8))
| ~ spl2_20
| ~ spl2_30 ),
inference(forward_demodulation,[],[f6189,f302]) ).
fof(f6189,plain,
( sum(sum(pred(n7),succ(n7)),sum(n16,n18)) != sum(sum(pred(n7),n18),sum(n16,succ(n7)))
| ~ spl2_20
| ~ spl2_30 ),
inference(forward_demodulation,[],[f6188,f288]) ).
fof(f6188,plain,
( sum(sum(pred(n7),n18),sum(pred(n17),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(n17),n18))
| ~ spl2_20
| ~ spl2_30 ),
inference(forward_demodulation,[],[f6187,f820]) ).
fof(f6144,plain,
( ~ spl2_4
| ~ spl2_39 ),
inference(avatar_contradiction_clause,[],[f6143]) ).
fof(f6143,plain,
( $false
| ~ spl2_4
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f6142]) ).
fof(f6142,plain,
( n11 != n11
| ~ spl2_4
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6141,f185]) ).
fof(f185,plain,
n11 = sum(n8,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f6141,plain,
( n11 != sum(n8,n3)
| ~ spl2_4
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6140,f193]) ).
fof(f6140,plain,
( sum(n8,n3) != sum(n16,n16)
| ~ spl2_4
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6139,f559]) ).
fof(f6139,plain,
( sum(n8,n3) != sum(sum(n3,n13),n16)
| ~ spl2_4
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6138,f353]) ).
fof(f353,plain,
n16 = sum(n11,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f6138,plain,
( sum(n8,n3) != sum(sum(n3,n13),sum(n11,n5))
| ~ spl2_4
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6137,f125]) ).
fof(f6137,plain,
( sum(sum(n3,n13),sum(n11,n5)) != sum(n8,sum(n11,n13))
| ~ spl2_4
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6136,f347]) ).
fof(f6136,plain,
( sum(n8,sum(pred(n12),n13)) != sum(sum(n3,n13),sum(pred(n12),n5))
| ~ spl2_4
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6135,f278]) ).
fof(f6135,plain,
( sum(sum(n3,succ(n12)),sum(pred(n12),n5)) != sum(n8,sum(pred(n12),succ(n12)))
| ~ spl2_4
| ~ spl2_39 ),
inference(backward_demodulation,[],[f5738,f715]) ).
fof(f5738,plain,
( sum(sum(n3,succ(sK1)),sum(pred(sK1),n5)) != sum(n8,sum(pred(sK1),succ(sK1)))
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5737,f670]) ).
fof(f5737,plain,
( sum(sum(n3,succ(sK1)),sum(pred(sK1),n5)) != sum(sum(n3,n5),sum(pred(sK1),succ(sK1)))
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5736,f688]) ).
fof(f688,plain,
n3 = pred(n4),
inference(cnf_transformation,[],[f3]) ).
fof(f5736,plain,
( sum(sum(pred(n4),n5),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n4),succ(sK1)),sum(pred(sK1),n5))
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5735,f567]) ).
fof(f567,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f3]) ).
fof(f5735,plain,
( sum(sum(pred(n4),succ(n4)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n4),succ(sK1)),sum(pred(sK1),succ(n4)))
| ~ spl2_39 ),
inference(forward_demodulation,[],[f346,f856]) ).
fof(f856,plain,
( n4 = sK0
| ~ spl2_39 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f854,plain,
( spl2_39
<=> n4 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_39])]) ).
fof(f6115,plain,
( ~ spl2_21
| ~ spl2_39 ),
inference(avatar_contradiction_clause,[],[f6114]) ).
fof(f6114,plain,
( $false
| ~ spl2_21
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f6113]) ).
fof(f6113,plain,
( n17 != n17
| ~ spl2_21
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6112,f637]) ).
fof(f6112,plain,
( n17 != sum(n8,n9)
| ~ spl2_21
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6111,f210]) ).
fof(f6111,plain,
( sum(n8,n9) != sum(n19,n19)
| ~ spl2_21
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6110,f224]) ).
fof(f6110,plain,
( sum(n8,n9) != sum(sum(n3,n16),n19)
| ~ spl2_21
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6109,f298]) ).
fof(f6109,plain,
( sum(n8,n9) != sum(sum(n3,n16),sum(n14,n5))
| ~ spl2_21
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6108,f486]) ).
fof(f6108,plain,
( sum(sum(n3,n16),sum(n14,n5)) != sum(n8,sum(n14,n16))
| ~ spl2_21
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6107,f562]) ).
fof(f6107,plain,
( sum(sum(n3,n16),sum(pred(n15),n5)) != sum(n8,sum(pred(n15),n16))
| ~ spl2_21
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6106,f37]) ).
fof(f6106,plain,
( sum(sum(n3,succ(n15)),sum(pred(n15),n5)) != sum(n8,sum(pred(n15),succ(n15)))
| ~ spl2_21
| ~ spl2_39 ),
inference(backward_demodulation,[],[f5738,f783]) ).
fof(f6075,plain,
( ~ spl2_10
| ~ spl2_39 ),
inference(avatar_contradiction_clause,[],[f6074]) ).
fof(f6074,plain,
( $false
| ~ spl2_10
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f6073]) ).
fof(f6073,plain,
( n7 != n7
| ~ spl2_10
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6072,f218]) ).
fof(f6072,plain,
( n7 != sum(n8,n20)
| ~ spl2_10
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6071,f243]) ).
fof(f6071,plain,
( sum(n8,n20) != sum(n14,n14)
| ~ spl2_10
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6070,f191]) ).
fof(f6070,plain,
( sum(n8,n20) != sum(sum(n3,n11),n14)
| ~ spl2_10
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6069,f425]) ).
fof(f6069,plain,
( sum(n8,n20) != sum(sum(n3,n11),sum(n9,n5))
| ~ spl2_10
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6068,f16]) ).
fof(f6068,plain,
( sum(sum(n3,n11),sum(n9,n5)) != sum(n8,sum(n9,n11))
| ~ spl2_10
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6067,f693]) ).
fof(f6067,plain,
( sum(sum(n3,n11),sum(pred(n10),n5)) != sum(n8,sum(pred(n10),n11))
| ~ spl2_10
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6066,f114]) ).
fof(f6066,plain,
( sum(sum(n3,succ(n10)),sum(pred(n10),n5)) != sum(n8,sum(pred(n10),succ(n10)))
| ~ spl2_10
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5738,f739]) ).
fof(f6060,plain,
( ~ spl2_3
| ~ spl2_39 ),
inference(avatar_contradiction_clause,[],[f6059]) ).
fof(f6059,plain,
( $false
| ~ spl2_3
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f6058]) ).
fof(f6058,plain,
( n13 != n13
| ~ spl2_3
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6057,f36]) ).
fof(f36,plain,
n13 = sum(n8,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f6057,plain,
( n13 != sum(n8,n5)
| ~ spl2_3
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6056,f106]) ).
fof(f6056,plain,
( sum(n8,n5) != sum(n17,n17)
| ~ spl2_3
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6055,f596]) ).
fof(f6055,plain,
( sum(n8,n5) != sum(sum(n3,n14),n17)
| ~ spl2_3
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6054,f552]) ).
fof(f6054,plain,
( sum(n8,n5) != sum(sum(n3,n14),sum(n12,n5))
| ~ spl2_3
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6053,f610]) ).
fof(f6053,plain,
( sum(sum(n3,n14),sum(n12,n5)) != sum(n8,sum(n12,n14))
| ~ spl2_3
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6052,f502]) ).
fof(f6052,plain,
( sum(sum(n3,succ(n13)),sum(n12,n5)) != sum(n8,sum(n12,succ(n13)))
| ~ spl2_3
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6051,f225]) ).
fof(f6051,plain,
( sum(n8,sum(pred(n13),succ(n13))) != sum(sum(n3,succ(n13)),sum(pred(n13),n5))
| ~ spl2_3
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5738,f711]) ).
fof(f6021,plain,
( ~ spl2_1
| ~ spl2_39 ),
inference(avatar_contradiction_clause,[],[f6020]) ).
fof(f6020,plain,
( $false
| ~ spl2_1
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f6019]) ).
fof(f6019,plain,
( n14 != n14
| ~ spl2_1
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6018,f395]) ).
fof(f6018,plain,
( n14 != sum(n7,n7)
| ~ spl2_1
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6017,f44]) ).
fof(f6017,plain,
( sum(n7,n7) != sum(n8,n6)
| ~ spl2_1
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6016,f529]) ).
fof(f529,plain,
n7 = sum(n3,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f6016,plain,
( sum(n8,n6) != sum(sum(n3,n4),n7)
| ~ spl2_1
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6015,f248]) ).
fof(f6015,plain,
( sum(n8,n6) != sum(sum(n3,n4),sum(n2,n5))
| ~ spl2_1
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6014,f533]) ).
fof(f6014,plain,
( sum(sum(n3,n4),sum(n2,n5)) != sum(n8,sum(n2,n4))
| ~ spl2_1
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6013,f174]) ).
fof(f6013,plain,
( sum(n8,sum(pred(n3),n4)) != sum(sum(n3,n4),sum(pred(n3),n5))
| ~ spl2_1
| ~ spl2_39 ),
inference(forward_demodulation,[],[f6012,f447]) ).
fof(f6012,plain,
( sum(sum(n3,succ(n3)),sum(pred(n3),n5)) != sum(n8,sum(pred(n3),succ(n3)))
| ~ spl2_1
| ~ spl2_39 ),
inference(backward_demodulation,[],[f5738,f703]) ).
fof(f5994,plain,
( ~ spl2_14
| ~ spl2_39 ),
inference(avatar_contradiction_clause,[],[f5993]) ).
fof(f5993,plain,
( $false
| ~ spl2_14
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f5992]) ).
fof(f5992,plain,
( n20 != n20
| ~ spl2_14
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5991,f336]) ).
fof(f5991,plain,
( n20 != sum(n8,n12)
| ~ spl2_14
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5990,f324]) ).
fof(f5990,plain,
( sum(n8,n12) != sum(n10,n10)
| ~ spl2_14
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5989,f181]) ).
fof(f181,plain,
n10 = sum(n3,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f5989,plain,
( sum(n8,n12) != sum(sum(n3,n7),n10)
| ~ spl2_14
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5988,f230]) ).
fof(f5988,plain,
( sum(n8,n12) != sum(sum(n3,n7),sum(n5,n5))
| ~ spl2_14
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5987,f511]) ).
fof(f5987,plain,
( sum(sum(n3,n7),sum(n5,n5)) != sum(n8,sum(n5,n7))
| ~ spl2_14
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5986,f530]) ).
fof(f5986,plain,
( sum(n8,sum(pred(n6),n7)) != sum(sum(n3,n7),sum(pred(n6),n5))
| ~ spl2_14
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5985,f457]) ).
fof(f5985,plain,
( sum(sum(n3,succ(n6)),sum(pred(n6),n5)) != sum(n8,sum(pred(n6),succ(n6)))
| ~ spl2_14
| ~ spl2_39 ),
inference(backward_demodulation,[],[f5738,f755]) ).
fof(f5960,plain,
( ~ spl2_20
| ~ spl2_39 ),
inference(avatar_contradiction_clause,[],[f5959]) ).
fof(f5959,plain,
( $false
| ~ spl2_20
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f5958]) ).
fof(f5958,plain,
( n0 != n0
| ~ spl2_20
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5957,f296]) ).
fof(f5957,plain,
( n0 != sum(n0,n0)
| ~ spl2_20
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5956,f587]) ).
fof(f5956,plain,
( sum(n0,n0) != sum(n8,n13)
| ~ spl2_20
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5955,f374]) ).
fof(f374,plain,
n0 = sum(n3,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f5955,plain,
( sum(n8,n13) != sum(sum(n3,n18),n0)
| ~ spl2_20
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5954,f123]) ).
fof(f5954,plain,
( sum(sum(n3,n18),n0) != sum(n8,sum(n16,n18))
| ~ spl2_20
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5953,f438]) ).
fof(f5953,plain,
( sum(n8,sum(n16,n18)) != sum(sum(n3,n18),sum(n16,n5))
| ~ spl2_20
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5952,f657]) ).
fof(f5952,plain,
( sum(sum(n3,succ(n17)),sum(n16,n5)) != sum(n8,sum(n16,succ(n17)))
| ~ spl2_20
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5951,f288]) ).
fof(f5951,plain,
( sum(n8,sum(pred(n17),succ(n17))) != sum(sum(n3,succ(n17)),sum(pred(n17),n5))
| ~ spl2_20
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5738,f779]) ).
fof(f5940,plain,
( ~ spl2_11
| ~ spl2_39 ),
inference(avatar_contradiction_clause,[],[f5939]) ).
fof(f5939,plain,
( $false
| ~ spl2_11
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f5938]) ).
fof(f5938,plain,
( n19 != n19
| ~ spl2_11
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5937,f698]) ).
fof(f5937,plain,
( n19 != sum(n8,n11)
| ~ spl2_11
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5936,f119]) ).
fof(f5936,plain,
( sum(n8,n11) != sum(n20,n20)
| ~ spl2_11
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5935,f449]) ).
fof(f5935,plain,
( sum(n8,n11) != sum(sum(n3,n17),n20)
| ~ spl2_11
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5934,f646]) ).
fof(f5934,plain,
( sum(n8,n11) != sum(sum(n3,n17),sum(n15,n5))
| ~ spl2_11
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5933,f383]) ).
fof(f5933,plain,
( sum(sum(n3,n17),sum(n15,n5)) != sum(n8,sum(n15,n17))
| ~ spl2_11
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5932,f418]) ).
fof(f5932,plain,
( sum(sum(n3,n17),sum(pred(n16),n5)) != sum(n8,sum(pred(n16),n17))
| ~ spl2_11
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5931,f233]) ).
fof(f5931,plain,
( sum(sum(n3,succ(n16)),sum(pred(n16),n5)) != sum(n8,sum(pred(n16),succ(n16)))
| ~ spl2_11
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5738,f743]) ).
fof(f5900,plain,
( ~ spl2_9
| ~ spl2_39 ),
inference(avatar_contradiction_clause,[],[f5899]) ).
fof(f5899,plain,
( $false
| ~ spl2_9
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f5898]) ).
fof(f5898,plain,
( n3 != n3
| ~ spl2_9
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5897,f203]) ).
fof(f5897,plain,
( n3 != sum(n8,n16)
| ~ spl2_9
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5896,f546]) ).
fof(f5896,plain,
( sum(n8,n16) != sum(n12,n12)
| ~ spl2_9
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5895,f696]) ).
fof(f5895,plain,
( sum(n8,n16) != sum(sum(n3,n9),n12)
| ~ spl2_9
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5894,f599]) ).
fof(f599,plain,
n12 = sum(n7,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f5894,plain,
( sum(n8,n16) != sum(sum(n3,n9),sum(n7,n5))
| ~ spl2_9
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5893,f648]) ).
fof(f5893,plain,
( sum(sum(n3,n9),sum(n7,n5)) != sum(n8,sum(n7,n9))
| ~ spl2_9
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5892,f607]) ).
fof(f5892,plain,
( sum(n8,sum(pred(n8),n9)) != sum(sum(n3,n9),sum(pred(n8),n5))
| ~ spl2_9
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5891,f474]) ).
fof(f5891,plain,
( sum(sum(n3,succ(n8)),sum(pred(n8),n5)) != sum(n8,sum(pred(n8),succ(n8)))
| ~ spl2_9
| ~ spl2_39 ),
inference(backward_demodulation,[],[f5738,f735]) ).
fof(f5878,plain,
( ~ spl2_7
| ~ spl2_39 ),
inference(avatar_contradiction_clause,[],[f5877]) ).
fof(f5877,plain,
( $false
| ~ spl2_7
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f5876]) ).
fof(f5876,plain,
( n8 != n8
| ~ spl2_7
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5875,f157]) ).
fof(f5875,plain,
( n8 != sum(n4,n4)
| ~ spl2_7
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5874,f41]) ).
fof(f5874,plain,
( sum(n4,n4) != sum(n8,n0)
| ~ spl2_7
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5873,f510]) ).
fof(f5873,plain,
( sum(n4,n4) != sum(n8,sum(n20,n1))
| ~ spl2_7
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5872,f244]) ).
fof(f5872,plain,
( sum(n8,sum(n20,n1)) != sum(sum(n3,n1),n4)
| ~ spl2_7
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5871,f477]) ).
fof(f5871,plain,
( sum(n8,sum(n20,n1)) != sum(sum(n3,n1),sum(n20,n5))
| ~ spl2_7
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5870,f358]) ).
fof(f5870,plain,
( sum(n8,sum(pred(n0),n1)) != sum(sum(n3,n1),sum(pred(n0),n5))
| ~ spl2_7
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5869,f192]) ).
fof(f5869,plain,
( sum(sum(n3,succ(n0)),sum(pred(n0),n5)) != sum(n8,sum(pred(n0),succ(n0)))
| ~ spl2_7
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5738,f727]) ).
fof(f5848,plain,
( ~ spl2_5
| ~ spl2_39 ),
inference(avatar_contradiction_clause,[],[f5847]) ).
fof(f5847,plain,
( $false
| ~ spl2_5
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f5846]) ).
fof(f5846,plain,
( n1 != n1
| ~ spl2_5
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5845,f658]) ).
fof(f5845,plain,
( n1 != sum(n8,n14)
| ~ spl2_5
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5844,f470]) ).
fof(f5844,plain,
( sum(n8,n14) != sum(n11,n11)
| ~ spl2_5
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5843,f496]) ).
fof(f5843,plain,
( sum(n11,n11) != sum(n8,sum(n6,n8))
| ~ spl2_5
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5842,f550]) ).
fof(f550,plain,
n11 = sum(n3,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f5842,plain,
( sum(n8,sum(n6,n8)) != sum(sum(n3,n8),n11)
| ~ spl2_5
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5841,f379]) ).
fof(f5841,plain,
( sum(n8,sum(n6,n8)) != sum(sum(n3,n8),sum(n6,n5))
| ~ spl2_5
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5840,f519]) ).
fof(f5840,plain,
( sum(n8,sum(pred(n7),n8)) != sum(sum(n3,n8),sum(pred(n7),n5))
| ~ spl2_5
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5839,f302]) ).
fof(f5839,plain,
( sum(sum(n3,succ(n7)),sum(pred(n7),n5)) != sum(n8,sum(pred(n7),succ(n7)))
| ~ spl2_5
| ~ spl2_39 ),
inference(backward_demodulation,[],[f5738,f719]) ).
fof(f5820,plain,
( ~ spl2_6
| ~ spl2_39 ),
inference(avatar_contradiction_clause,[],[f5819]) ).
fof(f5819,plain,
( $false
| ~ spl2_6
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f5818]) ).
fof(f5818,plain,
( n9 != n9
| ~ spl2_6
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5817,f638]) ).
fof(f5817,plain,
( n9 != sum(n8,n1)
| ~ spl2_6
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5816,f318]) ).
fof(f5816,plain,
( sum(n8,n1) != sum(n15,n15)
| ~ spl2_6
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5815,f21]) ).
fof(f5815,plain,
( sum(n15,n15) != sum(n8,sum(n10,n12))
| ~ spl2_6
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5814,f516]) ).
fof(f5814,plain,
( sum(n8,sum(n10,n12)) != sum(sum(n3,n12),n15)
| ~ spl2_6
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5813,f614]) ).
fof(f5813,plain,
( sum(n8,sum(n10,n12)) != sum(sum(n3,n12),sum(n10,n5))
| ~ spl2_6
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5812,f641]) ).
fof(f5812,plain,
( sum(sum(n3,succ(n11)),sum(n10,n5)) != sum(n8,sum(n10,succ(n11)))
| ~ spl2_6
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5811,f266]) ).
fof(f5811,plain,
( sum(n8,sum(pred(n11),succ(n11))) != sum(sum(n3,succ(n11)),sum(pred(n11),n5))
| ~ spl2_6
| ~ spl2_39 ),
inference(backward_demodulation,[],[f5738,f723]) ).
fof(f5796,plain,
( ~ spl2_8
| ~ spl2_39 ),
inference(avatar_contradiction_clause,[],[f5795]) ).
fof(f5795,plain,
( $false
| ~ spl2_8
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f5794]) ).
fof(f5794,plain,
( n6 != n6
| ~ spl2_8
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5793,f419]) ).
fof(f5793,plain,
( n6 != sum(n3,n3)
| ~ spl2_8
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5792,f167]) ).
fof(f5792,plain,
( sum(n3,n3) != sum(n8,n19)
| ~ spl2_8
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5791,f323]) ).
fof(f5791,plain,
( sum(n3,n3) != sum(n8,sum(n19,n0))
| ~ spl2_8
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5790,f427]) ).
fof(f5790,plain,
( sum(n8,sum(n19,n0)) != sum(sum(n3,n0),n3)
| ~ spl2_8
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5789,f580]) ).
fof(f5789,plain,
( sum(sum(n3,succ(n20)),n3) != sum(n8,sum(n19,succ(n20)))
| ~ spl2_8
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5788,f110]) ).
fof(f5788,plain,
( sum(n8,sum(n19,succ(n20))) != sum(sum(n3,succ(n20)),sum(n19,n5))
| ~ spl2_8
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5787,f214]) ).
fof(f5787,plain,
( sum(n8,sum(pred(n20),succ(n20))) != sum(sum(n3,succ(n20)),sum(pred(n20),n5))
| ~ spl2_8
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5738,f731]) ).
fof(f5764,plain,
( ~ spl2_12
| ~ spl2_39 ),
inference(avatar_contradiction_clause,[],[f5763]) ).
fof(f5763,plain,
( $false
| ~ spl2_12
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f5762]) ).
fof(f5762,plain,
( n4 != n4
| ~ spl2_12
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5761,f489]) ).
fof(f5761,plain,
( n4 != sum(n2,n2)
| ~ spl2_12
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5760,f616]) ).
fof(f5760,plain,
( sum(n2,n2) != sum(n8,n17)
| ~ spl2_12
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5759,f556]) ).
fof(f5759,plain,
( sum(n8,n17) != sum(sum(n3,n20),n2)
| ~ spl2_12
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5758,f420]) ).
fof(f5758,plain,
( sum(n8,n17) != sum(sum(n3,n20),sum(n18,n5))
| ~ spl2_12
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5757,f153]) ).
fof(f5757,plain,
( sum(sum(n3,n20),sum(n18,n5)) != sum(n8,sum(n18,n20))
| ~ spl2_12
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5756,f350]) ).
fof(f5756,plain,
( sum(n8,sum(pred(n19),n20)) != sum(sum(n3,n20),sum(pred(n19),n5))
| ~ spl2_12
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5755,f508]) ).
fof(f5755,plain,
( sum(sum(n3,succ(n19)),sum(pred(n19),n5)) != sum(n8,sum(pred(n19),succ(n19)))
| ~ spl2_12
| ~ spl2_39 ),
inference(backward_demodulation,[],[f5738,f747]) ).
fof(f5727,plain,
( ~ spl2_15
| ~ spl2_39 ),
inference(avatar_contradiction_clause,[],[f5726]) ).
fof(f5726,plain,
( $false
| ~ spl2_15
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f5725]) ).
fof(f5725,plain,
( n2 != n2
| ~ spl2_15
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5724,f433]) ).
fof(f5724,plain,
( n2 != sum(n1,n1)
| ~ spl2_15
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5723,f128]) ).
fof(f128,plain,
n2 = sum(n8,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f5723,plain,
( sum(n1,n1) != sum(n8,n15)
| ~ spl2_15
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5722,f670]) ).
fof(f5722,plain,
( sum(n1,n1) != sum(sum(n3,n5),n15)
| ~ spl2_15
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5721,f402]) ).
fof(f5721,plain,
( sum(n1,n1) != sum(sum(n3,n5),sum(n17,n19))
| ~ spl2_15
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5720,f441]) ).
fof(f5720,plain,
( sum(sum(n3,n5),sum(n17,n19)) != sum(sum(n3,n19),n1)
| ~ spl2_15
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5719,f688]) ).
fof(f5719,plain,
( sum(sum(pred(n4),n5),sum(n17,n19)) != sum(sum(pred(n4),n19),n1)
| ~ spl2_15
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5718,f674]) ).
fof(f674,plain,
n1 = sum(n17,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f5718,plain,
( sum(sum(pred(n4),n5),sum(n17,n19)) != sum(sum(pred(n4),n19),sum(n17,n5))
| ~ spl2_15
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5717,f651]) ).
fof(f5717,plain,
( sum(sum(pred(n4),n5),sum(pred(n18),n19)) != sum(sum(pred(n4),n19),sum(pred(n18),n5))
| ~ spl2_15
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5716,f40]) ).
fof(f5716,plain,
( sum(sum(pred(n4),succ(n18)),sum(pred(n18),n5)) != sum(sum(pred(n4),n5),sum(pred(n18),succ(n18)))
| ~ spl2_15
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5715,f567]) ).
fof(f5715,plain,
( sum(sum(pred(n4),succ(n4)),sum(pred(n18),succ(n18))) != sum(sum(pred(n4),succ(n18)),sum(pred(n18),succ(n4)))
| ~ spl2_15
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5714,f856]) ).
fof(f5714,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n18),succ(n18))) != sum(sum(pred(sK0),succ(n18)),sum(pred(n18),succ(sK0)))
| ~ spl2_15 ),
inference(forward_demodulation,[],[f346,f759]) ).
fof(f5697,plain,
( ~ spl2_13
| ~ spl2_39 ),
inference(avatar_contradiction_clause,[],[f5696]) ).
fof(f5696,plain,
( $false
| ~ spl2_13
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f5695]) ).
fof(f5695,plain,
( n18 != n18
| ~ spl2_13
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5694,f391]) ).
fof(f5694,plain,
( n18 != sum(n8,n10)
| ~ spl2_13
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5693,f357]) ).
fof(f5693,plain,
( sum(n8,n10) != sum(n9,n9)
| ~ spl2_13
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5692,f46]) ).
fof(f5692,plain,
( sum(n8,n10) != sum(sum(n3,n6),n9)
| ~ spl2_13
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5691,f670]) ).
fof(f5691,plain,
( sum(sum(n3,n6),n9) != sum(sum(n3,n5),n10)
| ~ spl2_13
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5690,f688]) ).
fof(f5690,plain,
( sum(sum(pred(n4),n5),n10) != sum(sum(pred(n4),n6),n9)
| ~ spl2_13
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5689,f622]) ).
fof(f5689,plain,
( sum(sum(pred(n4),n5),n10) != sum(sum(pred(n4),n6),sum(n4,n5))
| ~ spl2_13
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5688,f567]) ).
fof(f5688,plain,
( sum(sum(pred(n4),succ(n4)),n10) != sum(sum(pred(n4),n6),sum(n4,succ(n4)))
| ~ spl2_13
| ~ spl2_39 ),
inference(backward_demodulation,[],[f5663,f856]) ).
fof(f5663,plain,
( sum(sum(pred(sK0),succ(sK0)),n10) != sum(sum(pred(sK0),n6),sum(n4,succ(sK0)))
| ~ spl2_13 ),
inference(forward_demodulation,[],[f5662,f464]) ).
fof(f5662,plain,
( sum(sum(pred(sK0),n6),sum(n4,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n4,n6))
| ~ spl2_13 ),
inference(forward_demodulation,[],[f5661,f126]) ).
fof(f5661,plain,
( sum(sum(pred(sK0),n6),sum(pred(n5),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n5),n6))
| ~ spl2_13 ),
inference(forward_demodulation,[],[f5650,f692]) ).
fof(f5650,plain,
( sum(sum(pred(sK0),succ(n5)),sum(pred(n5),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n5),succ(n5)))
| ~ spl2_13 ),
inference(backward_demodulation,[],[f346,f751]) ).
fof(f5649,plain,
( ~ spl2_19
| ~ spl2_32 ),
inference(avatar_contradiction_clause,[],[f5648]) ).
fof(f5648,plain,
( $false
| ~ spl2_19
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f5647]) ).
fof(f5647,plain,
( n14 != n14
| ~ spl2_19
| ~ spl2_32 ),
inference(forward_demodulation,[],[f5646,f395]) ).
fof(f5646,plain,
( n14 != sum(n7,n7)
| ~ spl2_19
| ~ spl2_32 ),
inference(forward_demodulation,[],[f5645,f94]) ).
fof(f5645,plain,
( sum(n7,n7) != sum(n10,n4)
| ~ spl2_19
| ~ spl2_32 ),
inference(forward_demodulation,[],[f5644,f107]) ).
fof(f5644,plain,
( sum(n10,n4) != sum(sum(n4,n3),n7)
| ~ spl2_19
| ~ spl2_32 ),
inference(forward_demodulation,[],[f5643,f49]) ).
fof(f5643,plain,
( sum(n10,n4) != sum(sum(n4,n3),sum(n1,n6))
| ~ spl2_19
| ~ spl2_32 ),
inference(forward_demodulation,[],[f5642,f464]) ).
fof(f5642,plain,
( sum(sum(n4,n3),sum(n1,n6)) != sum(sum(n4,n6),n4)
| ~ spl2_19
| ~ spl2_32 ),
inference(forward_demodulation,[],[f5641,f126]) ).
fof(f5641,plain,
( sum(sum(pred(n5),n3),sum(n1,n6)) != sum(sum(pred(n5),n6),n4)
| ~ spl2_19
| ~ spl2_32 ),
inference(forward_demodulation,[],[f5640,f692]) ).
fof(f5640,plain,
( sum(sum(pred(n5),n3),sum(n1,succ(n5))) != sum(sum(pred(n5),succ(n5)),n4)
| ~ spl2_19
| ~ spl2_32 ),
inference(forward_demodulation,[],[f5181,f828]) ).
fof(f5181,plain,
( sum(sum(pred(sK0),succ(sK0)),n4) != sum(sum(pred(sK0),n3),sum(n1,succ(sK0)))
| ~ spl2_19 ),
inference(forward_demodulation,[],[f5180,f141]) ).
fof(f5180,plain,
( sum(sum(pred(sK0),n3),sum(n1,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n1,n3))
| ~ spl2_19 ),
inference(forward_demodulation,[],[f5179,f231]) ).
fof(f5179,plain,
( sum(sum(pred(sK0),n3),sum(pred(n2),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n2),n3))
| ~ spl2_19 ),
inference(forward_demodulation,[],[f5178,f184]) ).
fof(f5178,plain,
( sum(sum(pred(sK0),succ(n2)),sum(pred(n2),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n2),succ(n2)))
| ~ spl2_19 ),
inference(forward_demodulation,[],[f346,f775]) ).
fof(f775,plain,
( n2 = sK1
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f773,plain,
( spl2_19
<=> n2 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).
fof(f5618,plain,
( ~ spl2_19
| ~ spl2_39 ),
inference(avatar_contradiction_clause,[],[f5617]) ).
fof(f5617,plain,
( $false
| ~ spl2_19
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f5616]) ).
fof(f5616,plain,
( n12 != n12
| ~ spl2_19
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5615,f316]) ).
fof(f5615,plain,
( n12 != sum(n6,n6)
| ~ spl2_19
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5614,f378]) ).
fof(f5614,plain,
( sum(n6,n6) != sum(n8,n4)
| ~ spl2_19
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5613,f419]) ).
fof(f5613,plain,
( sum(n8,n4) != sum(sum(n3,n3),n6)
| ~ spl2_19
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5612,f279]) ).
fof(f5612,plain,
( sum(n8,n4) != sum(sum(n3,n3),sum(n1,n5))
| ~ spl2_19
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5611,f670]) ).
fof(f5611,plain,
( sum(sum(n3,n3),sum(n1,n5)) != sum(sum(n3,n5),n4)
| ~ spl2_19
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5610,f688]) ).
fof(f5610,plain,
( sum(sum(pred(n4),n3),sum(n1,n5)) != sum(sum(pred(n4),n5),n4)
| ~ spl2_19
| ~ spl2_39 ),
inference(forward_demodulation,[],[f5609,f567]) ).
fof(f5609,plain,
( sum(sum(pred(n4),n3),sum(n1,succ(n4))) != sum(sum(pred(n4),succ(n4)),n4)
| ~ spl2_19
| ~ spl2_39 ),
inference(backward_demodulation,[],[f5181,f856]) ).
fof(f5585,plain,
( ~ spl2_19
| ~ spl2_25 ),
inference(avatar_contradiction_clause,[],[f5584]) ).
fof(f5584,plain,
( $false
| ~ spl2_19
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f5583]) ).
fof(f5583,plain,
( n13 != n13
| ~ spl2_19
| ~ spl2_25 ),
inference(forward_demodulation,[],[f5582,f676]) ).
fof(f5582,plain,
( n13 != sum(n9,n4)
| ~ spl2_19
| ~ spl2_25 ),
inference(forward_demodulation,[],[f5581,f106]) ).
fof(f5581,plain,
( sum(n9,n4) != sum(n17,n17)
| ~ spl2_19
| ~ spl2_25 ),
inference(forward_demodulation,[],[f5580,f486]) ).
fof(f5580,plain,
( sum(n17,n17) != sum(sum(n14,n16),n4)
| ~ spl2_19
| ~ spl2_25 ),
inference(forward_demodulation,[],[f5579,f431]) ).
fof(f5579,plain,
( sum(sum(n14,n16),n4) != sum(sum(n14,n3),n17)
| ~ spl2_19
| ~ spl2_25 ),
inference(forward_demodulation,[],[f5578,f322]) ).
fof(f5578,plain,
( sum(sum(n14,n16),n4) != sum(sum(n14,n3),sum(n1,n16))
| ~ spl2_19
| ~ spl2_25 ),
inference(forward_demodulation,[],[f5577,f562]) ).
fof(f5577,plain,
( sum(sum(pred(n15),n3),sum(n1,n16)) != sum(sum(pred(n15),n16),n4)
| ~ spl2_19
| ~ spl2_25 ),
inference(forward_demodulation,[],[f5576,f37]) ).
fof(f5576,plain,
( sum(sum(pred(n15),succ(n15)),n4) != sum(sum(pred(n15),n3),sum(n1,succ(n15)))
| ~ spl2_19
| ~ spl2_25 ),
inference(backward_demodulation,[],[f5181,f800]) ).
fof(f5552,plain,
( ~ spl2_19
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f5551]) ).
fof(f5551,plain,
( $false
| ~ spl2_19
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f5550]) ).
fof(f5550,plain,
( n20 != n20
| ~ spl2_19
| ~ spl2_22 ),
inference(forward_demodulation,[],[f5549,f324]) ).
fof(f5549,plain,
( n20 != sum(n10,n10)
| ~ spl2_19
| ~ spl2_22 ),
inference(forward_demodulation,[],[f5548,f168]) ).
fof(f5548,plain,
( sum(n10,n10) != sum(n16,n4)
| ~ spl2_19
| ~ spl2_22 ),
inference(forward_demodulation,[],[f5547,f648]) ).
fof(f5547,plain,
( sum(n10,n10) != sum(sum(n7,n9),n4)
| ~ spl2_19
| ~ spl2_22 ),
inference(forward_demodulation,[],[f5546,f570]) ).
fof(f5546,plain,
( sum(sum(n7,n9),n4) != sum(sum(n7,n3),n10)
| ~ spl2_19
| ~ spl2_22 ),
inference(forward_demodulation,[],[f5545,f607]) ).
fof(f5545,plain,
( sum(sum(pred(n8),n3),n10) != sum(sum(pred(n8),n9),n4)
| ~ spl2_19
| ~ spl2_22 ),
inference(forward_demodulation,[],[f5544,f384]) ).
fof(f5544,plain,
( sum(sum(pred(n8),n9),n4) != sum(sum(pred(n8),n3),sum(n1,n9))
| ~ spl2_19
| ~ spl2_22 ),
inference(forward_demodulation,[],[f5543,f474]) ).
fof(f5543,plain,
( sum(sum(pred(n8),succ(n8)),n4) != sum(sum(pred(n8),n3),sum(n1,succ(n8)))
| ~ spl2_19
| ~ spl2_22 ),
inference(forward_demodulation,[],[f5181,f788]) ).
fof(f5527,plain,
( ~ spl2_19
| ~ spl2_26 ),
inference(avatar_contradiction_clause,[],[f5526]) ).
fof(f5526,plain,
( $false
| ~ spl2_19
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f5525]) ).
fof(f5525,plain,
( n2 != n2
| ~ spl2_19
| ~ spl2_26 ),
inference(forward_demodulation,[],[f5524,f433]) ).
fof(f5524,plain,
( n2 != sum(n1,n1)
| ~ spl2_19
| ~ spl2_26 ),
inference(forward_demodulation,[],[f5523,f64]) ).
fof(f5523,plain,
( sum(n1,n1) != sum(n19,n4)
| ~ spl2_19
| ~ spl2_26 ),
inference(forward_demodulation,[],[f5522,f307]) ).
fof(f5522,plain,
( sum(n19,n4) != sum(sum(n19,n3),n1)
| ~ spl2_19
| ~ spl2_26 ),
inference(forward_demodulation,[],[f5521,f448]) ).
fof(f5521,plain,
( sum(n19,n4) != sum(sum(n19,n3),sum(n1,n0))
| ~ spl2_19
| ~ spl2_26 ),
inference(forward_demodulation,[],[f5520,f323]) ).
fof(f5520,plain,
( sum(sum(n19,n3),sum(n1,n0)) != sum(sum(n19,n0),n4)
| ~ spl2_19
| ~ spl2_26 ),
inference(forward_demodulation,[],[f5519,f214]) ).
fof(f5519,plain,
( sum(sum(pred(n20),n3),sum(n1,n0)) != sum(sum(pred(n20),n0),n4)
| ~ spl2_19
| ~ spl2_26 ),
inference(forward_demodulation,[],[f5518,f580]) ).
fof(f5518,plain,
( sum(sum(pred(n20),succ(n20)),n4) != sum(sum(pred(n20),n3),sum(n1,succ(n20)))
| ~ spl2_19
| ~ spl2_26 ),
inference(forward_demodulation,[],[f5181,f804]) ).
fof(f5495,plain,
( ~ spl2_19
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f5494]) ).
fof(f5494,plain,
( $false
| ~ spl2_19
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f5493]) ).
fof(f5493,plain,
( n10 != n10
| ~ spl2_19
| ~ spl2_29 ),
inference(forward_demodulation,[],[f5492,f230]) ).
fof(f5492,plain,
( n10 != sum(n5,n5)
| ~ spl2_19
| ~ spl2_29 ),
inference(forward_demodulation,[],[f5491,f331]) ).
fof(f5491,plain,
( sum(n5,n5) != sum(n6,n4)
| ~ spl2_19
| ~ spl2_29 ),
inference(forward_demodulation,[],[f5490,f533]) ).
fof(f5490,plain,
( sum(n5,n5) != sum(sum(n2,n4),n4)
| ~ spl2_19
| ~ spl2_29 ),
inference(forward_demodulation,[],[f5489,f272]) ).
fof(f5489,plain,
( sum(sum(n2,n4),n4) != sum(sum(n2,n3),n5)
| ~ spl2_19
| ~ spl2_29 ),
inference(forward_demodulation,[],[f5488,f174]) ).
fof(f5488,plain,
( sum(sum(pred(n3),n4),n4) != sum(sum(pred(n3),n3),n5)
| ~ spl2_19
| ~ spl2_29 ),
inference(forward_demodulation,[],[f5487,f83]) ).
fof(f5487,plain,
( sum(sum(pred(n3),n4),n4) != sum(sum(pred(n3),n3),sum(n1,n4))
| ~ spl2_19
| ~ spl2_29 ),
inference(forward_demodulation,[],[f5486,f447]) ).
fof(f5486,plain,
( sum(sum(pred(n3),succ(n3)),n4) != sum(sum(pred(n3),n3),sum(n1,succ(n3)))
| ~ spl2_19
| ~ spl2_29 ),
inference(forward_demodulation,[],[f5181,f816]) ).
fof(f5466,plain,
( ~ spl2_19
| ~ spl2_36 ),
inference(avatar_contradiction_clause,[],[f5465]) ).
fof(f5465,plain,
( $false
| ~ spl2_19
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f5464]) ).
fof(f5464,plain,
( n1 != n1
| ~ spl2_19
| ~ spl2_36 ),
inference(forward_demodulation,[],[f5463,f470]) ).
fof(f5463,plain,
( n1 != sum(n11,n11)
| ~ spl2_19
| ~ spl2_36 ),
inference(forward_demodulation,[],[f5462,f373]) ).
fof(f5462,plain,
( sum(n11,n11) != sum(n18,n4)
| ~ spl2_19
| ~ spl2_36 ),
inference(forward_demodulation,[],[f5461,f391]) ).
fof(f5461,plain,
( sum(n11,n11) != sum(sum(n8,n10),n4)
| ~ spl2_19
| ~ spl2_36 ),
inference(forward_demodulation,[],[f5460,f185]) ).
fof(f5460,plain,
( sum(sum(n8,n10),n4) != sum(sum(n8,n3),n11)
| ~ spl2_19
| ~ spl2_36 ),
inference(forward_demodulation,[],[f5459,f396]) ).
fof(f5459,plain,
( sum(sum(n8,n10),n4) != sum(sum(n8,n3),sum(n1,n10))
| ~ spl2_19
| ~ spl2_36 ),
inference(forward_demodulation,[],[f5458,f333]) ).
fof(f5458,plain,
( sum(sum(pred(n9),n3),sum(n1,n10)) != sum(sum(pred(n9),n10),n4)
| ~ spl2_19
| ~ spl2_36 ),
inference(forward_demodulation,[],[f5457,f699]) ).
fof(f5457,plain,
( sum(sum(pred(n9),n3),sum(n1,succ(n9))) != sum(sum(pred(n9),succ(n9)),n4)
| ~ spl2_19
| ~ spl2_36 ),
inference(backward_demodulation,[],[f5181,f844]) ).
fof(f5431,plain,
( ~ spl2_19
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f5430]) ).
fof(f5430,plain,
( $false
| ~ spl2_19
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f5429]) ).
fof(f5429,plain,
( n3 != n3
| ~ spl2_19
| ~ spl2_42 ),
inference(forward_demodulation,[],[f5428,f546]) ).
fof(f5428,plain,
( n3 != sum(n12,n12)
| ~ spl2_19
| ~ spl2_42 ),
inference(forward_demodulation,[],[f5427,f415]) ).
fof(f5427,plain,
( sum(n12,n12) != sum(n20,n4)
| ~ spl2_19
| ~ spl2_42 ),
inference(forward_demodulation,[],[f5426,f16]) ).
fof(f5426,plain,
( sum(n12,n12) != sum(sum(n9,n11),n4)
| ~ spl2_19
| ~ spl2_42 ),
inference(forward_demodulation,[],[f5425,f628]) ).
fof(f5425,plain,
( sum(sum(n9,n11),n4) != sum(sum(n9,n3),n12)
| ~ spl2_19
| ~ spl2_42 ),
inference(forward_demodulation,[],[f5424,f540]) ).
fof(f5424,plain,
( sum(sum(n9,n11),n4) != sum(sum(n9,n3),sum(n1,n11))
| ~ spl2_19
| ~ spl2_42 ),
inference(forward_demodulation,[],[f5423,f693]) ).
fof(f5423,plain,
( sum(sum(pred(n10),n3),sum(n1,n11)) != sum(sum(pred(n10),n11),n4)
| ~ spl2_19
| ~ spl2_42 ),
inference(forward_demodulation,[],[f5422,f114]) ).
fof(f5422,plain,
( sum(sum(pred(n10),succ(n10)),n4) != sum(sum(pred(n10),n3),sum(n1,succ(n10)))
| ~ spl2_19
| ~ spl2_42 ),
inference(backward_demodulation,[],[f5181,f868]) ).
fof(f5397,plain,
( ~ spl2_19
| ~ spl2_38 ),
inference(avatar_contradiction_clause,[],[f5396]) ).
fof(f5396,plain,
( $false
| ~ spl2_19
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f5395]) ).
fof(f5395,plain,
( n6 != n6
| ~ spl2_19
| ~ spl2_38 ),
inference(forward_demodulation,[],[f5394,f533]) ).
fof(f5394,plain,
( n6 != sum(n2,n4)
| ~ spl2_19
| ~ spl2_38 ),
inference(forward_demodulation,[],[f5393,f419]) ).
fof(f5393,plain,
( sum(n2,n4) != sum(n3,n3)
| ~ spl2_19
| ~ spl2_38 ),
inference(forward_demodulation,[],[f5392,f665]) ).
fof(f5392,plain,
( sum(n2,n4) != sum(sum(n0,n3),n3)
| ~ spl2_19
| ~ spl2_38 ),
inference(forward_demodulation,[],[f5391,f190]) ).
fof(f5391,plain,
( sum(sum(n0,n3),n3) != sum(sum(n0,n2),n4)
| ~ spl2_19
| ~ spl2_38 ),
inference(forward_demodulation,[],[f5390,f598]) ).
fof(f5390,plain,
( sum(sum(pred(n1),n2),n4) != sum(sum(pred(n1),n3),n3)
| ~ spl2_19
| ~ spl2_38 ),
inference(forward_demodulation,[],[f5389,f455]) ).
fof(f455,plain,
n3 = sum(n1,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f5389,plain,
( sum(sum(pred(n1),n2),n4) != sum(sum(pred(n1),n3),sum(n1,n2))
| ~ spl2_19
| ~ spl2_38 ),
inference(forward_demodulation,[],[f5388,f677]) ).
fof(f5388,plain,
( sum(sum(pred(n1),n3),sum(n1,succ(n1))) != sum(sum(pred(n1),succ(n1)),n4)
| ~ spl2_19
| ~ spl2_38 ),
inference(forward_demodulation,[],[f5181,f852]) ).
fof(f5379,plain,
( ~ spl2_19
| ~ spl2_23 ),
inference(avatar_contradiction_clause,[],[f5378]) ).
fof(f5378,plain,
( $false
| ~ spl2_19
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f5377]) ).
fof(f5377,plain,
( sum(sum(pred(n2),n3),n4) != sum(sum(pred(n2),n3),n4)
| ~ spl2_19
| ~ spl2_23 ),
inference(forward_demodulation,[],[f5376,f141]) ).
fof(f5376,plain,
( sum(sum(pred(n2),n3),n4) != sum(sum(pred(n2),n3),sum(n1,n3))
| ~ spl2_19
| ~ spl2_23 ),
inference(forward_demodulation,[],[f5375,f184]) ).
fof(f5375,plain,
( sum(sum(pred(n2),succ(n2)),n4) != sum(sum(pred(n2),n3),sum(n1,succ(n2)))
| ~ spl2_19
| ~ spl2_23 ),
inference(forward_demodulation,[],[f5181,f792]) ).
fof(f5352,plain,
( ~ spl2_19
| ~ spl2_41 ),
inference(avatar_contradiction_clause,[],[f5351]) ).
fof(f5351,plain,
( $false
| ~ spl2_19
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f5350]) ).
fof(f5350,plain,
( n17 != n17
| ~ spl2_19
| ~ spl2_41 ),
inference(forward_demodulation,[],[f5349,f606]) ).
fof(f606,plain,
n17 = sum(n13,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f5349,plain,
( n17 != sum(n13,n4)
| ~ spl2_19
| ~ spl2_41 ),
inference(forward_demodulation,[],[f5348,f210]) ).
fof(f5348,plain,
( sum(n13,n4) != sum(n19,n19)
| ~ spl2_19
| ~ spl2_41 ),
inference(forward_demodulation,[],[f5347,f382]) ).
fof(f5347,plain,
( sum(n13,n4) != sum(sum(n16,n3),n19)
| ~ spl2_19
| ~ spl2_41 ),
inference(forward_demodulation,[],[f5346,f123]) ).
fof(f5346,plain,
( sum(sum(n16,n3),n19) != sum(sum(n16,n18),n4)
| ~ spl2_19
| ~ spl2_41 ),
inference(forward_demodulation,[],[f5345,f288]) ).
fof(f5345,plain,
( sum(sum(pred(n17),n3),n19) != sum(sum(pred(n17),n18),n4)
| ~ spl2_19
| ~ spl2_41 ),
inference(forward_demodulation,[],[f5344,f132]) ).
fof(f5344,plain,
( sum(sum(pred(n17),n18),n4) != sum(sum(pred(n17),n3),sum(n1,n18))
| ~ spl2_19
| ~ spl2_41 ),
inference(forward_demodulation,[],[f5343,f657]) ).
fof(f5343,plain,
( sum(sum(pred(n17),succ(n17)),n4) != sum(sum(pred(n17),n3),sum(n1,succ(n17)))
| ~ spl2_19
| ~ spl2_41 ),
inference(backward_demodulation,[],[f5181,f864]) ).
fof(f5313,plain,
( ~ spl2_19
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f5312]) ).
fof(f5312,plain,
( $false
| ~ spl2_19
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f5311]) ).
fof(f5311,plain,
( n16 != n16
| ~ spl2_19
| ~ spl2_28 ),
inference(forward_demodulation,[],[f5310,f177]) ).
fof(f5310,plain,
( n16 != sum(n8,n8)
| ~ spl2_19
| ~ spl2_28 ),
inference(forward_demodulation,[],[f5309,f538]) ).
fof(f5309,plain,
( sum(n8,n8) != sum(n12,n4)
| ~ spl2_19
| ~ spl2_28 ),
inference(forward_demodulation,[],[f5308,f511]) ).
fof(f5308,plain,
( sum(n8,n8) != sum(sum(n5,n7),n4)
| ~ spl2_19
| ~ spl2_28 ),
inference(forward_demodulation,[],[f5307,f183]) ).
fof(f5307,plain,
( sum(sum(n5,n7),n4) != sum(sum(n5,n3),n8)
| ~ spl2_19
| ~ spl2_28 ),
inference(forward_demodulation,[],[f5306,f276]) ).
fof(f5306,plain,
( sum(sum(n5,n7),n4) != sum(sum(n5,n3),sum(n1,n7))
| ~ spl2_19
| ~ spl2_28 ),
inference(forward_demodulation,[],[f5305,f530]) ).
fof(f5305,plain,
( sum(sum(pred(n6),n3),sum(n1,n7)) != sum(sum(pred(n6),n7),n4)
| ~ spl2_19
| ~ spl2_28 ),
inference(forward_demodulation,[],[f5304,f457]) ).
fof(f5304,plain,
( sum(sum(pred(n6),n3),sum(n1,succ(n6))) != sum(sum(pred(n6),succ(n6)),n4)
| ~ spl2_19
| ~ spl2_28 ),
inference(backward_demodulation,[],[f5181,f812]) ).
fof(f5289,plain,
( ~ spl2_19
| ~ spl2_27 ),
inference(avatar_contradiction_clause,[],[f5288]) ).
fof(f5288,plain,
( $false
| ~ spl2_19
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f5287]) ).
fof(f5287,plain,
( n5 != n5
| ~ spl2_19
| ~ spl2_27 ),
inference(forward_demodulation,[],[f5286,f83]) ).
fof(f5286,plain,
( n5 != sum(n1,n4)
| ~ spl2_19
| ~ spl2_27 ),
inference(forward_demodulation,[],[f5285,f66]) ).
fof(f5285,plain,
( sum(n1,n4) != sum(n13,n13)
| ~ spl2_19
| ~ spl2_27 ),
inference(forward_demodulation,[],[f5284,f160]) ).
fof(f5284,plain,
( sum(n1,n4) != sum(sum(n10,n3),n13)
| ~ spl2_19
| ~ spl2_27 ),
inference(forward_demodulation,[],[f5283,f21]) ).
fof(f5283,plain,
( sum(sum(n10,n3),n13) != sum(sum(n10,n12),n4)
| ~ spl2_19
| ~ spl2_27 ),
inference(forward_demodulation,[],[f5282,f266]) ).
fof(f5282,plain,
( sum(sum(pred(n11),n12),n4) != sum(sum(pred(n11),n3),n13)
| ~ spl2_19
| ~ spl2_27 ),
inference(forward_demodulation,[],[f5281,f523]) ).
fof(f5281,plain,
( sum(sum(pred(n11),n12),n4) != sum(sum(pred(n11),n3),sum(n1,n12))
| ~ spl2_19
| ~ spl2_27 ),
inference(forward_demodulation,[],[f5280,f641]) ).
fof(f5280,plain,
( sum(sum(pred(n11),succ(n11)),n4) != sum(sum(pred(n11),n3),sum(n1,succ(n11)))
| ~ spl2_19
| ~ spl2_27 ),
inference(forward_demodulation,[],[f5181,f808]) ).
fof(f5265,plain,
( ~ spl2_19
| ~ spl2_40 ),
inference(avatar_contradiction_clause,[],[f5264]) ).
fof(f5264,plain,
( $false
| ~ spl2_19
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f5263]) ).
fof(f5263,plain,
( n19 != n19
| ~ spl2_19
| ~ spl2_40 ),
inference(forward_demodulation,[],[f5262,f196]) ).
fof(f5262,plain,
( n19 != sum(n15,n4)
| ~ spl2_19
| ~ spl2_40 ),
inference(forward_demodulation,[],[f5261,f119]) ).
fof(f5261,plain,
( sum(n15,n4) != sum(n20,n20)
| ~ spl2_19
| ~ spl2_40 ),
inference(forward_demodulation,[],[f5260,f591]) ).
fof(f5260,plain,
( sum(n15,n4) != sum(sum(n17,n3),n20)
| ~ spl2_19
| ~ spl2_40 ),
inference(forward_demodulation,[],[f5259,f402]) ).
fof(f5259,plain,
( sum(sum(n17,n3),n20) != sum(sum(n17,n19),n4)
| ~ spl2_19
| ~ spl2_40 ),
inference(forward_demodulation,[],[f5258,f651]) ).
fof(f5258,plain,
( sum(sum(pred(n18),n3),n20) != sum(sum(pred(n18),n19),n4)
| ~ spl2_19
| ~ spl2_40 ),
inference(forward_demodulation,[],[f5257,f68]) ).
fof(f5257,plain,
( sum(sum(pred(n18),n19),n4) != sum(sum(pred(n18),n3),sum(n1,n19))
| ~ spl2_19
| ~ spl2_40 ),
inference(forward_demodulation,[],[f5256,f40]) ).
fof(f5256,plain,
( sum(sum(pred(n18),succ(n18)),n4) != sum(sum(pred(n18),n3),sum(n1,succ(n18)))
| ~ spl2_19
| ~ spl2_40 ),
inference(forward_demodulation,[],[f5181,f860]) ).
fof(f5233,plain,
( ~ spl2_19
| ~ spl2_34 ),
inference(avatar_contradiction_clause,[],[f5232]) ).
fof(f5232,plain,
( $false
| ~ spl2_19
| ~ spl2_34 ),
inference(trivial_inequality_removal,[],[f5231]) ).
fof(f5231,plain,
( n4 != n4
| ~ spl2_19
| ~ spl2_34 ),
inference(forward_demodulation,[],[f5230,f439]) ).
fof(f5230,plain,
( n4 != sum(n0,n4)
| ~ spl2_19
| ~ spl2_34 ),
inference(forward_demodulation,[],[f5229,f489]) ).
fof(f5229,plain,
( sum(n0,n4) != sum(n2,n2)
| ~ spl2_19
| ~ spl2_34 ),
inference(forward_demodulation,[],[f5228,f73]) ).
fof(f5228,plain,
( sum(n0,n4) != sum(sum(n20,n3),n2)
| ~ spl2_19
| ~ spl2_34 ),
inference(forward_demodulation,[],[f5227,f510]) ).
fof(f5227,plain,
( sum(sum(n20,n3),n2) != sum(sum(n20,n1),n4)
| ~ spl2_19
| ~ spl2_34 ),
inference(forward_demodulation,[],[f5226,f358]) ).
fof(f5226,plain,
( sum(sum(pred(n0),n1),n4) != sum(sum(pred(n0),n3),n2)
| ~ spl2_19
| ~ spl2_34 ),
inference(forward_demodulation,[],[f5225,f433]) ).
fof(f5225,plain,
( sum(sum(pred(n0),n1),n4) != sum(sum(pred(n0),n3),sum(n1,n1))
| ~ spl2_19
| ~ spl2_34 ),
inference(forward_demodulation,[],[f5224,f192]) ).
fof(f5224,plain,
( sum(sum(pred(n0),succ(n0)),n4) != sum(sum(pred(n0),n3),sum(n1,succ(n0)))
| ~ spl2_19
| ~ spl2_34 ),
inference(backward_demodulation,[],[f5181,f836]) ).
fof(f5202,plain,
( ~ spl2_19
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f5201]) ).
fof(f5201,plain,
( $false
| ~ spl2_19
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f5200]) ).
fof(f5200,plain,
( n7 != n7
| ~ spl2_19
| ~ spl2_24 ),
inference(forward_demodulation,[],[f5199,f529]) ).
fof(f5199,plain,
( n7 != sum(n3,n4)
| ~ spl2_19
| ~ spl2_24 ),
inference(forward_demodulation,[],[f5198,f243]) ).
fof(f5198,plain,
( sum(n3,n4) != sum(n14,n14)
| ~ spl2_19
| ~ spl2_24 ),
inference(forward_demodulation,[],[f5197,f633]) ).
fof(f5197,plain,
( sum(n3,n4) != sum(sum(n11,n3),n14)
| ~ spl2_19
| ~ spl2_24 ),
inference(forward_demodulation,[],[f5196,f42]) ).
fof(f5196,plain,
( sum(n3,n4) != sum(sum(n11,n3),sum(n1,n13))
| ~ spl2_19
| ~ spl2_24 ),
inference(forward_demodulation,[],[f5195,f125]) ).
fof(f5195,plain,
( sum(sum(n11,n3),sum(n1,n13)) != sum(sum(n11,n13),n4)
| ~ spl2_19
| ~ spl2_24 ),
inference(forward_demodulation,[],[f5194,f347]) ).
fof(f5194,plain,
( sum(sum(pred(n12),n3),sum(n1,n13)) != sum(sum(pred(n12),n13),n4)
| ~ spl2_19
| ~ spl2_24 ),
inference(forward_demodulation,[],[f5193,f278]) ).
fof(f5193,plain,
( sum(sum(pred(n12),n3),sum(n1,succ(n12))) != sum(sum(pred(n12),succ(n12)),n4)
| ~ spl2_19
| ~ spl2_24 ),
inference(backward_demodulation,[],[f5181,f796]) ).
fof(f5174,plain,
( ~ spl2_19
| ~ spl2_30 ),
inference(avatar_contradiction_clause,[],[f5173]) ).
fof(f5173,plain,
( $false
| ~ spl2_19
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f5172]) ).
fof(f5172,plain,
( n18 != n18
| ~ spl2_19
| ~ spl2_30 ),
inference(forward_demodulation,[],[f5171,f357]) ).
fof(f5171,plain,
( n18 != sum(n9,n9)
| ~ spl2_19
| ~ spl2_30 ),
inference(forward_demodulation,[],[f5170,f541]) ).
fof(f5170,plain,
( sum(n9,n9) != sum(n14,n4)
| ~ spl2_19
| ~ spl2_30 ),
inference(forward_demodulation,[],[f5169,f545]) ).
fof(f5169,plain,
( sum(n14,n4) != sum(sum(n6,n3),n9)
| ~ spl2_19
| ~ spl2_30 ),
inference(forward_demodulation,[],[f5168,f673]) ).
fof(f5168,plain,
( sum(n14,n4) != sum(sum(n6,n3),sum(n1,n8))
| ~ spl2_19
| ~ spl2_30 ),
inference(forward_demodulation,[],[f5167,f141]) ).
fof(f5167,plain,
( sum(sum(n6,n3),sum(n1,n8)) != sum(n14,sum(n1,n3))
| ~ spl2_19
| ~ spl2_30 ),
inference(forward_demodulation,[],[f5166,f231]) ).
fof(f5166,plain,
( sum(sum(n6,n3),sum(pred(n2),n8)) != sum(n14,sum(pred(n2),n3))
| ~ spl2_19
| ~ spl2_30 ),
inference(forward_demodulation,[],[f5165,f184]) ).
fof(f5165,plain,
( sum(sum(n6,succ(n2)),sum(pred(n2),n8)) != sum(n14,sum(pred(n2),succ(n2)))
| ~ spl2_19
| ~ spl2_30 ),
inference(backward_demodulation,[],[f5145,f775]) ).
fof(f5145,plain,
( sum(n14,sum(pred(sK1),succ(sK1))) != sum(sum(n6,succ(sK1)),sum(pred(sK1),n8))
| ~ spl2_30 ),
inference(forward_demodulation,[],[f5144,f496]) ).
fof(f5144,plain,
( sum(sum(n6,succ(sK1)),sum(pred(sK1),n8)) != sum(sum(n6,n8),sum(pred(sK1),succ(sK1)))
| ~ spl2_30 ),
inference(forward_demodulation,[],[f5143,f519]) ).
fof(f5143,plain,
( sum(sum(pred(n7),succ(sK1)),sum(pred(sK1),n8)) != sum(sum(pred(n7),n8),sum(pred(sK1),succ(sK1)))
| ~ spl2_30 ),
inference(forward_demodulation,[],[f5142,f302]) ).
fof(f5142,plain,
( sum(sum(pred(n7),succ(sK1)),sum(pred(sK1),succ(n7))) != sum(sum(pred(n7),succ(n7)),sum(pred(sK1),succ(sK1)))
| ~ spl2_30 ),
inference(forward_demodulation,[],[f346,f820]) ).
fof(f5125,plain,
( ~ spl2_14
| ~ spl2_37 ),
inference(avatar_contradiction_clause,[],[f5124]) ).
fof(f5124,plain,
( $false
| ~ spl2_14
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f5123]) ).
fof(f5123,plain,
( n8 != n8
| ~ spl2_14
| ~ spl2_37 ),
inference(forward_demodulation,[],[f5122,f157]) ).
fof(f5122,plain,
( n8 != sum(n4,n4)
| ~ spl2_14
| ~ spl2_37 ),
inference(forward_demodulation,[],[f5121,f81]) ).
fof(f5121,plain,
( sum(n4,n4) != sum(n17,n12)
| ~ spl2_14
| ~ spl2_37 ),
inference(forward_demodulation,[],[f5120,f429]) ).
fof(f5120,plain,
( sum(n17,n12) != sum(sum(n18,n7),n4)
| ~ spl2_14
| ~ spl2_37 ),
inference(forward_demodulation,[],[f5119,f511]) ).
fof(f5119,plain,
( sum(sum(n18,n7),n4) != sum(n17,sum(n5,n7))
| ~ spl2_14
| ~ spl2_37 ),
inference(forward_demodulation,[],[f5118,f457]) ).
fof(f5118,plain,
( sum(n17,sum(n5,succ(n6))) != sum(sum(n18,succ(n6)),n4)
| ~ spl2_14
| ~ spl2_37 ),
inference(forward_demodulation,[],[f5117,f258]) ).
fof(f5117,plain,
( sum(n17,sum(n5,succ(n6))) != sum(sum(n18,succ(n6)),sum(n5,n20))
| ~ spl2_14
| ~ spl2_37 ),
inference(forward_demodulation,[],[f5116,f530]) ).
fof(f5116,plain,
( sum(n17,sum(pred(n6),succ(n6))) != sum(sum(n18,succ(n6)),sum(pred(n6),n20))
| ~ spl2_14
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4651,f755]) ).
fof(f4651,plain,
( sum(n17,sum(pred(sK1),succ(sK1))) != sum(sum(n18,succ(sK1)),sum(pred(sK1),n20))
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4650,f153]) ).
fof(f4650,plain,
( sum(sum(n18,succ(sK1)),sum(pred(sK1),n20)) != sum(sum(n18,n20),sum(pred(sK1),succ(sK1)))
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4649,f350]) ).
fof(f4649,plain,
( sum(sum(pred(n19),n20),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n19),succ(sK1)),sum(pred(sK1),n20))
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4648,f508]) ).
fof(f4648,plain,
( sum(sum(pred(n19),succ(sK1)),sum(pred(sK1),succ(n19))) != sum(sum(pred(n19),succ(n19)),sum(pred(sK1),succ(sK1)))
| ~ spl2_37 ),
inference(forward_demodulation,[],[f346,f848]) ).
fof(f848,plain,
( n19 = sK0
| ~ spl2_37 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f846,plain,
( spl2_37
<=> n19 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_37])]) ).
fof(f5091,plain,
( ~ spl2_9
| ~ spl2_37 ),
inference(avatar_contradiction_clause,[],[f5090]) ).
fof(f5090,plain,
( $false
| ~ spl2_9
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f5089]) ).
fof(f5089,plain,
( n12 != n12
| ~ spl2_9
| ~ spl2_37 ),
inference(forward_demodulation,[],[f5088,f316]) ).
fof(f5088,plain,
( n12 != sum(n6,n6)
| ~ spl2_9
| ~ spl2_37 ),
inference(forward_demodulation,[],[f5087,f537]) ).
fof(f5087,plain,
( sum(n6,n6) != sum(n17,n16)
| ~ spl2_9
| ~ spl2_37 ),
inference(forward_demodulation,[],[f5086,f586]) ).
fof(f5086,plain,
( sum(n17,n16) != sum(sum(n18,n9),n6)
| ~ spl2_9
| ~ spl2_37 ),
inference(forward_demodulation,[],[f5085,f648]) ).
fof(f5085,plain,
( sum(sum(n18,n9),n6) != sum(n17,sum(n7,n9))
| ~ spl2_9
| ~ spl2_37 ),
inference(forward_demodulation,[],[f5084,f505]) ).
fof(f5084,plain,
( sum(n17,sum(n7,n9)) != sum(sum(n18,n9),sum(n7,n20))
| ~ spl2_9
| ~ spl2_37 ),
inference(forward_demodulation,[],[f5083,f607]) ).
fof(f5083,plain,
( sum(n17,sum(pred(n8),n9)) != sum(sum(n18,n9),sum(pred(n8),n20))
| ~ spl2_9
| ~ spl2_37 ),
inference(forward_demodulation,[],[f5082,f474]) ).
fof(f5082,plain,
( sum(sum(n18,succ(n8)),sum(pred(n8),n20)) != sum(n17,sum(pred(n8),succ(n8)))
| ~ spl2_9
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4651,f735]) ).
fof(f5058,plain,
( ~ spl2_6
| ~ spl2_37 ),
inference(avatar_contradiction_clause,[],[f5057]) ).
fof(f5057,plain,
( $false
| ~ spl2_6
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f5056]) ).
fof(f5056,plain,
( n18 != n18
| ~ spl2_6
| ~ spl2_37 ),
inference(forward_demodulation,[],[f5055,f357]) ).
fof(f5055,plain,
( n18 != sum(n9,n9)
| ~ spl2_6
| ~ spl2_37 ),
inference(forward_demodulation,[],[f5054,f137]) ).
fof(f5054,plain,
( sum(n9,n9) != sum(n17,n1)
| ~ spl2_6
| ~ spl2_37 ),
inference(forward_demodulation,[],[f5053,f601]) ).
fof(f5053,plain,
( sum(n17,n1) != sum(sum(n18,n12),n9)
| ~ spl2_6
| ~ spl2_37 ),
inference(forward_demodulation,[],[f5052,f11]) ).
fof(f5052,plain,
( sum(n17,n1) != sum(sum(n18,n12),sum(n10,n20))
| ~ spl2_6
| ~ spl2_37 ),
inference(forward_demodulation,[],[f5051,f21]) ).
fof(f5051,plain,
( sum(sum(n18,n12),sum(n10,n20)) != sum(n17,sum(n10,n12))
| ~ spl2_6
| ~ spl2_37 ),
inference(forward_demodulation,[],[f5050,f266]) ).
fof(f5050,plain,
( sum(sum(n18,n12),sum(pred(n11),n20)) != sum(n17,sum(pred(n11),n12))
| ~ spl2_6
| ~ spl2_37 ),
inference(forward_demodulation,[],[f5049,f641]) ).
fof(f5049,plain,
( sum(sum(n18,succ(n11)),sum(pred(n11),n20)) != sum(n17,sum(pred(n11),succ(n11)))
| ~ spl2_6
| ~ spl2_37 ),
inference(backward_demodulation,[],[f4651,f723]) ).
fof(f5035,plain,
( ~ spl2_12
| ~ spl2_37 ),
inference(avatar_contradiction_clause,[],[f5034]) ).
fof(f5034,plain,
( $false
| ~ spl2_12
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f5033]) ).
fof(f5033,plain,
( sum(n17,n17) != sum(n17,n17)
| ~ spl2_12
| ~ spl2_37 ),
inference(forward_demodulation,[],[f5032,f153]) ).
fof(f5032,plain,
( sum(sum(n18,n20),sum(n18,n20)) != sum(n17,sum(n18,n20))
| ~ spl2_12
| ~ spl2_37 ),
inference(forward_demodulation,[],[f5031,f508]) ).
fof(f5031,plain,
( sum(sum(n18,succ(n19)),sum(n18,n20)) != sum(n17,sum(n18,succ(n19)))
| ~ spl2_12
| ~ spl2_37 ),
inference(forward_demodulation,[],[f5030,f350]) ).
fof(f5030,plain,
( sum(n17,sum(pred(n19),succ(n19))) != sum(sum(n18,succ(n19)),sum(pred(n19),n20))
| ~ spl2_12
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4651,f747]) ).
fof(f4996,plain,
( ~ spl2_3
| ~ spl2_37 ),
inference(avatar_contradiction_clause,[],[f4995]) ).
fof(f4995,plain,
( $false
| ~ spl2_3
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f4994]) ).
fof(f4994,plain,
( n1 != n1
| ~ spl2_3
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4993,f470]) ).
fof(f4993,plain,
( n1 != sum(n11,n11)
| ~ spl2_3
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4992,f674]) ).
fof(f4992,plain,
( sum(n11,n11) != sum(n17,n5)
| ~ spl2_3
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4991,f610]) ).
fof(f4991,plain,
( sum(n11,n11) != sum(n17,sum(n12,n14))
| ~ spl2_3
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4990,f303]) ).
fof(f4990,plain,
( sum(n17,sum(n12,n14)) != sum(sum(n18,n14),n11)
| ~ spl2_3
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4989,f502]) ).
fof(f4989,plain,
( sum(n17,sum(n12,succ(n13))) != sum(sum(n18,succ(n13)),n11)
| ~ spl2_3
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4988,f29]) ).
fof(f4988,plain,
( sum(n17,sum(n12,succ(n13))) != sum(sum(n18,succ(n13)),sum(n12,n20))
| ~ spl2_3
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4987,f225]) ).
fof(f4987,plain,
( sum(n17,sum(pred(n13),succ(n13))) != sum(sum(n18,succ(n13)),sum(pred(n13),n20))
| ~ spl2_3
| ~ spl2_37 ),
inference(backward_demodulation,[],[f4651,f711]) ).
fof(f4967,plain,
( ~ spl2_4
| ~ spl2_37 ),
inference(avatar_contradiction_clause,[],[f4966]) ).
fof(f4966,plain,
( $false
| ~ spl2_4
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f4965]) ).
fof(f4965,plain,
( n20 != n20
| ~ spl2_4
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4964,f324]) ).
fof(f4964,plain,
( n20 != sum(n10,n10)
| ~ spl2_4
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4963,f591]) ).
fof(f4963,plain,
( sum(n10,n10) != sum(n17,n3)
| ~ spl2_4
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4962,f98]) ).
fof(f4962,plain,
( sum(n17,n3) != sum(sum(n18,n13),n10)
| ~ spl2_4
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4961,f69]) ).
fof(f4961,plain,
( sum(n17,n3) != sum(sum(n18,n13),sum(n11,n20))
| ~ spl2_4
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4960,f125]) ).
fof(f4960,plain,
( sum(sum(n18,n13),sum(n11,n20)) != sum(n17,sum(n11,n13))
| ~ spl2_4
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4959,f347]) ).
fof(f4959,plain,
( sum(sum(n18,n13),sum(pred(n12),n20)) != sum(n17,sum(pred(n12),n13))
| ~ spl2_4
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4958,f278]) ).
fof(f4958,plain,
( sum(sum(n18,succ(n12)),sum(pred(n12),n20)) != sum(n17,sum(pred(n12),succ(n12)))
| ~ spl2_4
| ~ spl2_37 ),
inference(backward_demodulation,[],[f4651,f715]) ).
fof(f4947,plain,
( ~ spl2_19
| ~ spl2_37 ),
inference(avatar_contradiction_clause,[],[f4946]) ).
fof(f4946,plain,
( $false
| ~ spl2_19
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f4945]) ).
fof(f4945,plain,
( n0 != n0
| ~ spl2_19
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4944,f296]) ).
fof(f4944,plain,
( n0 != sum(n0,n0)
| ~ spl2_19
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4943,f650]) ).
fof(f4943,plain,
( sum(n0,n0) != sum(n17,n4)
| ~ spl2_19
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4942,f141]) ).
fof(f4942,plain,
( sum(n0,n0) != sum(n17,sum(n1,n3))
| ~ spl2_19
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4941,f143]) ).
fof(f4941,plain,
( sum(n17,sum(n1,n3)) != sum(sum(n18,n3),n0)
| ~ spl2_19
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4940,f207]) ).
fof(f4940,plain,
( sum(n17,sum(n1,n3)) != sum(sum(n18,n3),sum(n1,n20))
| ~ spl2_19
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4939,f184]) ).
fof(f4939,plain,
( sum(sum(n18,succ(n2)),sum(n1,n20)) != sum(n17,sum(n1,succ(n2)))
| ~ spl2_19
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4938,f231]) ).
fof(f4938,plain,
( sum(n17,sum(pred(n2),succ(n2))) != sum(sum(n18,succ(n2)),sum(pred(n2),n20))
| ~ spl2_19
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4651,f775]) ).
fof(f4901,plain,
( ~ spl2_5
| ~ spl2_37 ),
inference(avatar_contradiction_clause,[],[f4900]) ).
fof(f4900,plain,
( $false
| ~ spl2_5
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f4899]) ).
fof(f4899,plain,
( n10 != n10
| ~ spl2_5
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4898,f230]) ).
fof(f4898,plain,
( n10 != sum(n5,n5)
| ~ spl2_5
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4897,f561]) ).
fof(f4897,plain,
( sum(n5,n5) != sum(n17,n14)
| ~ spl2_5
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4896,f642]) ).
fof(f4896,plain,
( sum(n17,n14) != sum(sum(n18,n8),n5)
| ~ spl2_5
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4895,f111]) ).
fof(f4895,plain,
( sum(n17,n14) != sum(sum(n18,n8),sum(n6,n20))
| ~ spl2_5
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4894,f496]) ).
fof(f4894,plain,
( sum(sum(n18,n8),sum(n6,n20)) != sum(n17,sum(n6,n8))
| ~ spl2_5
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4893,f519]) ).
fof(f4893,plain,
( sum(n17,sum(pred(n7),n8)) != sum(sum(n18,n8),sum(pred(n7),n20))
| ~ spl2_5
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4892,f302]) ).
fof(f4892,plain,
( sum(sum(n18,succ(n7)),sum(pred(n7),n20)) != sum(n17,sum(pred(n7),succ(n7)))
| ~ spl2_5
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4651,f719]) ).
fof(f4881,plain,
( ~ spl2_13
| ~ spl2_37 ),
inference(avatar_contradiction_clause,[],[f4880]) ).
fof(f4880,plain,
( $false
| ~ spl2_13
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f4879]) ).
fof(f4879,plain,
( n6 != n6
| ~ spl2_13
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4878,f419]) ).
fof(f4878,plain,
( n6 != sum(n3,n3)
| ~ spl2_13
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4877,f8]) ).
fof(f4877,plain,
( sum(n3,n3) != sum(n17,n10)
| ~ spl2_13
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4876,f634]) ).
fof(f4876,plain,
( sum(n17,n10) != sum(sum(n18,n6),n3)
| ~ spl2_13
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4875,f524]) ).
fof(f4875,plain,
( sum(n17,n10) != sum(sum(n18,n6),sum(n4,n20))
| ~ spl2_13
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4874,f464]) ).
fof(f4874,plain,
( sum(sum(n18,n6),sum(n4,n20)) != sum(n17,sum(n4,n6))
| ~ spl2_13
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4873,f126]) ).
fof(f4873,plain,
( sum(sum(n18,n6),sum(pred(n5),n20)) != sum(n17,sum(pred(n5),n6))
| ~ spl2_13
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4872,f692]) ).
fof(f4872,plain,
( sum(sum(n18,succ(n5)),sum(pred(n5),n20)) != sum(n17,sum(pred(n5),succ(n5)))
| ~ spl2_13
| ~ spl2_37 ),
inference(backward_demodulation,[],[f4651,f751]) ).
fof(f4857,plain,
( ~ spl2_21
| ~ spl2_37 ),
inference(avatar_contradiction_clause,[],[f4856]) ).
fof(f4856,plain,
( $false
| ~ spl2_21
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f4855]) ).
fof(f4855,plain,
( n5 != n5
| ~ spl2_21
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4854,f66]) ).
fof(f4854,plain,
( n5 != sum(n13,n13)
| ~ spl2_21
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4853,f582]) ).
fof(f4853,plain,
( sum(n13,n13) != sum(n17,n9)
| ~ spl2_21
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4852,f486]) ).
fof(f4852,plain,
( sum(n13,n13) != sum(n17,sum(n14,n16))
| ~ spl2_21
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4851,f385]) ).
fof(f4851,plain,
( sum(n17,sum(n14,n16)) != sum(sum(n18,n16),n13)
| ~ spl2_21
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4850,f48]) ).
fof(f4850,plain,
( sum(n17,sum(n14,n16)) != sum(sum(n18,n16),sum(n14,n20))
| ~ spl2_21
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4849,f37]) ).
fof(f4849,plain,
( sum(sum(n18,succ(n15)),sum(n14,n20)) != sum(n17,sum(n14,succ(n15)))
| ~ spl2_21
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4848,f562]) ).
fof(f4848,plain,
( sum(n17,sum(pred(n15),succ(n15))) != sum(sum(n18,succ(n15)),sum(pred(n15),n20))
| ~ spl2_21
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4651,f783]) ).
fof(f4810,plain,
( ~ spl2_8
| ~ spl2_37 ),
inference(avatar_contradiction_clause,[],[f4809]) ).
fof(f4809,plain,
( $false
| ~ spl2_8
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f4808]) ).
fof(f4808,plain,
( n15 != n15
| ~ spl2_8
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4807,f402]) ).
fof(f4807,plain,
( n15 != sum(n17,n19)
| ~ spl2_8
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4806,f679]) ).
fof(f4806,plain,
( sum(n17,n19) != sum(n18,n18)
| ~ spl2_8
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4805,f323]) ).
fof(f4805,plain,
( sum(n18,n18) != sum(n17,sum(n19,n0))
| ~ spl2_8
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4804,f407]) ).
fof(f4804,plain,
( sum(n17,sum(n19,n0)) != sum(sum(n18,n0),n18)
| ~ spl2_8
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4803,f580]) ).
fof(f4803,plain,
( sum(sum(n18,succ(n20)),n18) != sum(n17,sum(n19,succ(n20)))
| ~ spl2_8
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4802,f590]) ).
fof(f4802,plain,
( sum(n17,sum(n19,succ(n20))) != sum(sum(n18,succ(n20)),sum(n19,n20))
| ~ spl2_8
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4801,f214]) ).
fof(f4801,plain,
( sum(n17,sum(pred(n20),succ(n20))) != sum(sum(n18,succ(n20)),sum(pred(n20),n20))
| ~ spl2_8
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4651,f731]) ).
fof(f4790,plain,
( ~ spl2_1
| ~ spl2_37 ),
inference(avatar_contradiction_clause,[],[f4789]) ).
fof(f4789,plain,
( $false
| ~ spl2_1
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f4788]) ).
fof(f4788,plain,
( n2 != n2
| ~ spl2_1
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4787,f433]) ).
fof(f4787,plain,
( n2 != sum(n1,n1)
| ~ spl2_1
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4786,f198]) ).
fof(f4786,plain,
( sum(n1,n1) != sum(n17,n6)
| ~ spl2_1
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4785,f373]) ).
fof(f4785,plain,
( sum(n17,n6) != sum(sum(n18,n4),n1)
| ~ spl2_1
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4784,f55]) ).
fof(f4784,plain,
( sum(n17,n6) != sum(sum(n18,n4),sum(n2,n20))
| ~ spl2_1
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4783,f533]) ).
fof(f4783,plain,
( sum(sum(n18,n4),sum(n2,n20)) != sum(n17,sum(n2,n4))
| ~ spl2_1
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4782,f447]) ).
fof(f4782,plain,
( sum(sum(n18,succ(n3)),sum(n2,n20)) != sum(n17,sum(n2,succ(n3)))
| ~ spl2_1
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4781,f174]) ).
fof(f4781,plain,
( sum(n17,sum(pred(n3),succ(n3))) != sum(sum(n18,succ(n3)),sum(pred(n3),n20))
| ~ spl2_1
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4651,f703]) ).
fof(f4768,plain,
( ~ spl2_10
| ~ spl2_37 ),
inference(avatar_contradiction_clause,[],[f4767]) ).
fof(f4767,plain,
( $false
| ~ spl2_10
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f4766]) ).
fof(f4766,plain,
( n16 != n16
| ~ spl2_10
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4765,f177]) ).
fof(f4765,plain,
( n16 != sum(n8,n8)
| ~ spl2_10
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4764,f613]) ).
fof(f4764,plain,
( sum(n8,n8) != sum(n17,n20)
| ~ spl2_10
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4763,f620]) ).
fof(f4763,plain,
( sum(n17,n20) != sum(sum(n18,n11),n8)
| ~ spl2_10
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4762,f199]) ).
fof(f4762,plain,
( sum(n17,n20) != sum(sum(n18,n11),sum(n9,n20))
| ~ spl2_10
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4761,f16]) ).
fof(f4761,plain,
( sum(sum(n18,n11),sum(n9,n20)) != sum(n17,sum(n9,n11))
| ~ spl2_10
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4760,f693]) ).
fof(f4760,plain,
( sum(n17,sum(pred(n10),n11)) != sum(sum(n18,n11),sum(pred(n10),n20))
| ~ spl2_10
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4759,f114]) ).
fof(f4759,plain,
( sum(sum(n18,succ(n10)),sum(pred(n10),n20)) != sum(n17,sum(pred(n10),succ(n10)))
| ~ spl2_10
| ~ spl2_37 ),
inference(backward_demodulation,[],[f4651,f739]) ).
fof(f4736,plain,
( ~ spl2_20
| ~ spl2_37 ),
inference(avatar_contradiction_clause,[],[f4735]) ).
fof(f4735,plain,
( $false
| ~ spl2_20
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f4734]) ).
fof(f4734,plain,
( n9 != n9
| ~ spl2_20
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4733,f318]) ).
fof(f4733,plain,
( n9 != sum(n15,n15)
| ~ spl2_20
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4732,f139]) ).
fof(f4732,plain,
( sum(n15,n15) != sum(n17,n13)
| ~ spl2_20
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4731,f679]) ).
fof(f4731,plain,
( sum(n17,n13) != sum(sum(n18,n18),n15)
| ~ spl2_20
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4730,f123]) ).
fof(f4730,plain,
( sum(sum(n18,n18),n15) != sum(n17,sum(n16,n18))
| ~ spl2_20
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4729,f657]) ).
fof(f4729,plain,
( sum(n17,sum(n16,succ(n17))) != sum(sum(n18,succ(n17)),n15)
| ~ spl2_20
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4728,f335]) ).
fof(f4728,plain,
( sum(n17,sum(n16,succ(n17))) != sum(sum(n18,succ(n17)),sum(n16,n20))
| ~ spl2_20
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4727,f288]) ).
fof(f4727,plain,
( sum(n17,sum(pred(n17),succ(n17))) != sum(sum(n18,succ(n17)),sum(pred(n17),n20))
| ~ spl2_20
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4651,f779]) ).
fof(f4709,plain,
( ~ spl2_15
| ~ spl2_37 ),
inference(avatar_contradiction_clause,[],[f4708]) ).
fof(f4708,plain,
( $false
| ~ spl2_15
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f4707]) ).
fof(f4707,plain,
( n11 != n11
| ~ spl2_15
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4706,f193]) ).
fof(f4706,plain,
( n11 != sum(n16,n16)
| ~ spl2_15
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4705,f255]) ).
fof(f255,plain,
n11 = sum(n17,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f4705,plain,
( sum(n16,n16) != sum(n17,n15)
| ~ spl2_15
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4704,f450]) ).
fof(f4704,plain,
( sum(n17,n15) != sum(sum(n18,n19),n16)
| ~ spl2_15
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4703,f613]) ).
fof(f4703,plain,
( sum(n17,n15) != sum(sum(n18,n19),sum(n17,n20))
| ~ spl2_15
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4702,f402]) ).
fof(f4702,plain,
( sum(sum(n18,n19),sum(n17,n20)) != sum(n17,sum(n17,n19))
| ~ spl2_15
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4701,f40]) ).
fof(f4701,plain,
( sum(sum(n18,succ(n18)),sum(n17,n20)) != sum(n17,sum(n17,succ(n18)))
| ~ spl2_15
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4700,f651]) ).
fof(f4700,plain,
( sum(n17,sum(pred(n18),succ(n18))) != sum(sum(n18,succ(n18)),sum(pred(n18),n20))
| ~ spl2_15
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4651,f759]) ).
fof(f4667,plain,
( ~ spl2_11
| ~ spl2_37 ),
inference(avatar_contradiction_clause,[],[f4666]) ).
fof(f4666,plain,
( $false
| ~ spl2_11
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f4665]) ).
fof(f4665,plain,
( n7 != n7
| ~ spl2_11
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4664,f243]) ).
fof(f4664,plain,
( n7 != sum(n14,n14)
| ~ spl2_11
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4663,f595]) ).
fof(f4663,plain,
( sum(n14,n14) != sum(n17,n11)
| ~ spl2_11
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4662,f604]) ).
fof(f4662,plain,
( sum(n17,n11) != sum(sum(n18,n17),n14)
| ~ spl2_11
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4661,f656]) ).
fof(f4661,plain,
( sum(n17,n11) != sum(sum(n18,n17),sum(n15,n20))
| ~ spl2_11
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4660,f383]) ).
fof(f4660,plain,
( sum(sum(n18,n17),sum(n15,n20)) != sum(n17,sum(n15,n17))
| ~ spl2_11
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4659,f233]) ).
fof(f4659,plain,
( sum(sum(n18,succ(n16)),sum(n15,n20)) != sum(n17,sum(n15,succ(n16)))
| ~ spl2_11
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4658,f418]) ).
fof(f4658,plain,
( sum(n17,sum(pred(n16),succ(n16))) != sum(sum(n18,succ(n16)),sum(pred(n16),n20))
| ~ spl2_11
| ~ spl2_37 ),
inference(backward_demodulation,[],[f4651,f743]) ).
fof(f4639,plain,
( ~ spl2_7
| ~ spl2_37 ),
inference(avatar_contradiction_clause,[],[f4638]) ).
fof(f4638,plain,
( $false
| ~ spl2_7
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f4637]) ).
fof(f4637,plain,
( n17 != n17
| ~ spl2_7
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4636,f281]) ).
fof(f4636,plain,
( n17 != sum(n17,n0)
| ~ spl2_7
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4635,f210]) ).
fof(f4635,plain,
( sum(n17,n0) != sum(n19,n19)
| ~ spl2_7
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4634,f500]) ).
fof(f4634,plain,
( sum(n17,n0) != sum(sum(n18,n1),n19)
| ~ spl2_7
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4633,f119]) ).
fof(f4633,plain,
( sum(n17,n0) != sum(sum(n18,n1),sum(n20,n20))
| ~ spl2_7
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4632,f153]) ).
fof(f4632,plain,
( sum(sum(n18,n1),sum(n20,n20)) != sum(sum(n18,n20),n0)
| ~ spl2_7
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4631,f350]) ).
fof(f4631,plain,
( sum(sum(pred(n19),n1),sum(n20,n20)) != sum(sum(pred(n19),n20),n0)
| ~ spl2_7
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4630,f510]) ).
fof(f4630,plain,
( sum(sum(pred(n19),n1),sum(n20,n20)) != sum(sum(pred(n19),n20),sum(n20,n1))
| ~ spl2_7
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4629,f358]) ).
fof(f4629,plain,
( sum(sum(pred(n19),n1),sum(pred(n0),n20)) != sum(sum(pred(n19),n20),sum(pred(n0),n1))
| ~ spl2_7
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4628,f192]) ).
fof(f4628,plain,
( sum(sum(pred(n19),succ(n0)),sum(pred(n0),n20)) != sum(sum(pred(n19),n20),sum(pred(n0),succ(n0)))
| ~ spl2_7
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4627,f508]) ).
fof(f4627,plain,
( sum(sum(pred(n19),succ(n19)),sum(pred(n0),succ(n0))) != sum(sum(pred(n19),succ(n0)),sum(pred(n0),succ(n19)))
| ~ spl2_7
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4626,f848]) ).
fof(f4626,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n0),succ(n0))) != sum(sum(pred(sK0),succ(n0)),sum(pred(n0),succ(sK0)))
| ~ spl2_7 ),
inference(forward_demodulation,[],[f346,f727]) ).
fof(f4585,plain,
( ~ spl2_18
| ~ spl2_38 ),
inference(avatar_contradiction_clause,[],[f4584]) ).
fof(f4584,plain,
( $false
| ~ spl2_18
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f4583]) ).
fof(f4583,plain,
( n10 != n10
| ~ spl2_18
| ~ spl2_38 ),
inference(forward_demodulation,[],[f4582,f56]) ).
fof(f4582,plain,
( n10 != sum(n2,n8)
| ~ spl2_18
| ~ spl2_38 ),
inference(forward_demodulation,[],[f4581,f230]) ).
fof(f4581,plain,
( sum(n2,n8) != sum(n5,n5)
| ~ spl2_18
| ~ spl2_38 ),
inference(forward_demodulation,[],[f4580,f190]) ).
fof(f4580,plain,
( sum(n5,n5) != sum(sum(n0,n2),n8)
| ~ spl2_18
| ~ spl2_38 ),
inference(forward_demodulation,[],[f4579,f249]) ).
fof(f4579,plain,
( sum(sum(n0,n2),n8) != sum(sum(n0,n5),n5)
| ~ spl2_18
| ~ spl2_38 ),
inference(forward_demodulation,[],[f4578,f598]) ).
fof(f4578,plain,
( sum(sum(pred(n1),n5),n5) != sum(sum(pred(n1),n2),n8)
| ~ spl2_18
| ~ spl2_38 ),
inference(forward_demodulation,[],[f4577,f654]) ).
fof(f654,plain,
n5 = sum(n3,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f4577,plain,
( sum(sum(pred(n1),n2),n8) != sum(sum(pred(n1),n5),sum(n3,n2))
| ~ spl2_18
| ~ spl2_38 ),
inference(forward_demodulation,[],[f4576,f677]) ).
fof(f4576,plain,
( sum(sum(pred(n1),n5),sum(n3,succ(n1))) != sum(sum(pred(n1),succ(n1)),n8)
| ~ spl2_18
| ~ spl2_38 ),
inference(forward_demodulation,[],[f4102,f852]) ).
fof(f4102,plain,
( sum(sum(pred(sK0),n5),sum(n3,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n8)
| ~ spl2_18 ),
inference(forward_demodulation,[],[f4101,f670]) ).
fof(f4101,plain,
( sum(sum(pred(sK0),n5),sum(n3,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n3,n5))
| ~ spl2_18 ),
inference(forward_demodulation,[],[f4100,f567]) ).
fof(f4100,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(n3,succ(n4))) != sum(sum(pred(sK0),succ(n4)),sum(n3,succ(sK0)))
| ~ spl2_18 ),
inference(forward_demodulation,[],[f4080,f688]) ).
fof(f4080,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n4),succ(n4))) != sum(sum(pred(sK0),succ(n4)),sum(pred(n4),succ(sK0)))
| ~ spl2_18 ),
inference(forward_demodulation,[],[f346,f771]) ).
fof(f771,plain,
( n4 = sK1
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f769,plain,
( spl2_18
<=> n4 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).
fof(f4562,plain,
( ~ spl2_18
| ~ spl2_23 ),
inference(avatar_contradiction_clause,[],[f4561]) ).
fof(f4561,plain,
( $false
| ~ spl2_18
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f4560]) ).
fof(f4560,plain,
( n12 != n12
| ~ spl2_18
| ~ spl2_23 ),
inference(forward_demodulation,[],[f4559,f118]) ).
fof(f4559,plain,
( n12 != sum(n4,n8)
| ~ spl2_18
| ~ spl2_23 ),
inference(forward_demodulation,[],[f4558,f316]) ).
fof(f4558,plain,
( sum(n4,n8) != sum(n6,n6)
| ~ spl2_18
| ~ spl2_23 ),
inference(forward_demodulation,[],[f4557,f279]) ).
fof(f4557,plain,
( sum(n4,n8) != sum(sum(n1,n5),n6)
| ~ spl2_18
| ~ spl2_23 ),
inference(forward_demodulation,[],[f4556,f141]) ).
fof(f4556,plain,
( sum(sum(n1,n5),n6) != sum(sum(n1,n3),n8)
| ~ spl2_18
| ~ spl2_23 ),
inference(forward_demodulation,[],[f4555,f231]) ).
fof(f4555,plain,
( sum(sum(pred(n2),n5),n6) != sum(sum(pred(n2),n3),n8)
| ~ spl2_18
| ~ spl2_23 ),
inference(forward_demodulation,[],[f4554,f419]) ).
fof(f4554,plain,
( sum(sum(pred(n2),n3),n8) != sum(sum(pred(n2),n5),sum(n3,n3))
| ~ spl2_18
| ~ spl2_23 ),
inference(forward_demodulation,[],[f4553,f184]) ).
fof(f4553,plain,
( sum(sum(pred(n2),succ(n2)),n8) != sum(sum(pred(n2),n5),sum(n3,succ(n2)))
| ~ spl2_18
| ~ spl2_23 ),
inference(backward_demodulation,[],[f4102,f792]) ).
fof(f4532,plain,
( ~ spl2_18
| ~ spl2_25 ),
inference(avatar_contradiction_clause,[],[f4531]) ).
fof(f4531,plain,
( $false
| ~ spl2_18
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f4530]) ).
fof(f4530,plain,
( n17 != n17
| ~ spl2_18
| ~ spl2_25 ),
inference(forward_demodulation,[],[f4529,f494]) ).
fof(f4529,plain,
( n17 != sum(n9,n8)
| ~ spl2_18
| ~ spl2_25 ),
inference(forward_demodulation,[],[f4528,f210]) ).
fof(f4528,plain,
( sum(n9,n8) != sum(n19,n19)
| ~ spl2_18
| ~ spl2_25 ),
inference(forward_demodulation,[],[f4527,f298]) ).
fof(f4527,plain,
( sum(n9,n8) != sum(sum(n14,n5),n19)
| ~ spl2_18
| ~ spl2_25 ),
inference(forward_demodulation,[],[f4526,f486]) ).
fof(f4526,plain,
( sum(sum(n14,n5),n19) != sum(sum(n14,n16),n8)
| ~ spl2_18
| ~ spl2_25 ),
inference(forward_demodulation,[],[f4525,f562]) ).
fof(f4525,plain,
( sum(sum(pred(n15),n5),n19) != sum(sum(pred(n15),n16),n8)
| ~ spl2_18
| ~ spl2_25 ),
inference(forward_demodulation,[],[f4524,f224]) ).
fof(f4524,plain,
( sum(sum(pred(n15),n16),n8) != sum(sum(pred(n15),n5),sum(n3,n16))
| ~ spl2_18
| ~ spl2_25 ),
inference(forward_demodulation,[],[f4523,f37]) ).
fof(f4523,plain,
( sum(sum(pred(n15),succ(n15)),n8) != sum(sum(pred(n15),n5),sum(n3,succ(n15)))
| ~ spl2_18
| ~ spl2_25 ),
inference(backward_demodulation,[],[f4102,f800]) ).
fof(f4501,plain,
( ~ spl2_18
| ~ spl2_37 ),
inference(avatar_contradiction_clause,[],[f4500]) ).
fof(f4500,plain,
( $false
| ~ spl2_18
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f4499]) ).
fof(f4499,plain,
( n4 != n4
| ~ spl2_18
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4498,f489]) ).
fof(f4498,plain,
( n4 != sum(n2,n2)
| ~ spl2_18
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4497,f453]) ).
fof(f4497,plain,
( sum(n2,n2) != sum(n17,n8)
| ~ spl2_18
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4496,f420]) ).
fof(f4496,plain,
( sum(n17,n8) != sum(sum(n18,n5),n2)
| ~ spl2_18
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4495,f153]) ).
fof(f4495,plain,
( sum(sum(n18,n5),n2) != sum(sum(n18,n20),n8)
| ~ spl2_18
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4494,f350]) ).
fof(f4494,plain,
( sum(sum(pred(n19),n5),n2) != sum(sum(pred(n19),n20),n8)
| ~ spl2_18
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4493,f556]) ).
fof(f4493,plain,
( sum(sum(pred(n19),n20),n8) != sum(sum(pred(n19),n5),sum(n3,n20))
| ~ spl2_18
| ~ spl2_37 ),
inference(forward_demodulation,[],[f4492,f508]) ).
fof(f4492,plain,
( sum(sum(pred(n19),succ(n19)),n8) != sum(sum(pred(n19),n5),sum(n3,succ(n19)))
| ~ spl2_18
| ~ spl2_37 ),
inference(backward_demodulation,[],[f4102,f848]) ).
fof(f4463,plain,
( ~ spl2_18
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f4462]) ).
fof(f4462,plain,
( $false
| ~ spl2_18
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f4461]) ).
fof(f4461,plain,
( n7 != n7
| ~ spl2_18
| ~ spl2_42 ),
inference(forward_demodulation,[],[f4460,f243]) ).
fof(f4460,plain,
( n7 != sum(n14,n14)
| ~ spl2_18
| ~ spl2_42 ),
inference(forward_demodulation,[],[f4459,f668]) ).
fof(f4459,plain,
( sum(n14,n14) != sum(n20,n8)
| ~ spl2_18
| ~ spl2_42 ),
inference(forward_demodulation,[],[f4458,f16]) ).
fof(f4458,plain,
( sum(n14,n14) != sum(sum(n9,n11),n8)
| ~ spl2_18
| ~ spl2_42 ),
inference(forward_demodulation,[],[f4457,f425]) ).
fof(f4457,plain,
( sum(sum(n9,n11),n8) != sum(sum(n9,n5),n14)
| ~ spl2_18
| ~ spl2_42 ),
inference(forward_demodulation,[],[f4456,f191]) ).
fof(f4456,plain,
( sum(sum(n9,n11),n8) != sum(sum(n9,n5),sum(n3,n11))
| ~ spl2_18
| ~ spl2_42 ),
inference(forward_demodulation,[],[f4455,f693]) ).
fof(f4455,plain,
( sum(sum(pred(n10),n5),sum(n3,n11)) != sum(sum(pred(n10),n11),n8)
| ~ spl2_18
| ~ spl2_42 ),
inference(forward_demodulation,[],[f4454,f114]) ).
fof(f4454,plain,
( sum(sum(pred(n10),succ(n10)),n8) != sum(sum(pred(n10),n5),sum(n3,succ(n10)))
| ~ spl2_18
| ~ spl2_42 ),
inference(forward_demodulation,[],[f4102,f868]) ).
fof(f4446,plain,
( ~ spl2_18
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f4445]) ).
fof(f4445,plain,
( $false
| ~ spl2_18
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f4444]) ).
fof(f4444,plain,
( n3 != n3
| ~ spl2_18
| ~ spl2_22 ),
inference(forward_demodulation,[],[f4443,f546]) ).
fof(f4443,plain,
( n3 != sum(n12,n12)
| ~ spl2_18
| ~ spl2_22 ),
inference(forward_demodulation,[],[f4442,f539]) ).
fof(f4442,plain,
( sum(n12,n12) != sum(n16,n8)
| ~ spl2_18
| ~ spl2_22 ),
inference(forward_demodulation,[],[f4441,f599]) ).
fof(f4441,plain,
( sum(n16,n8) != sum(sum(n7,n5),n12)
| ~ spl2_18
| ~ spl2_22 ),
inference(forward_demodulation,[],[f4440,f648]) ).
fof(f4440,plain,
( sum(sum(n7,n5),n12) != sum(sum(n7,n9),n8)
| ~ spl2_18
| ~ spl2_22 ),
inference(forward_demodulation,[],[f4439,f696]) ).
fof(f4439,plain,
( sum(sum(n7,n9),n8) != sum(sum(n7,n5),sum(n3,n9))
| ~ spl2_18
| ~ spl2_22 ),
inference(forward_demodulation,[],[f4438,f607]) ).
fof(f4438,plain,
( sum(sum(pred(n8),n5),sum(n3,n9)) != sum(sum(pred(n8),n9),n8)
| ~ spl2_18
| ~ spl2_22 ),
inference(forward_demodulation,[],[f4437,f474]) ).
fof(f4437,plain,
( sum(sum(pred(n8),n5),sum(n3,succ(n8))) != sum(sum(pred(n8),succ(n8)),n8)
| ~ spl2_18
| ~ spl2_22 ),
inference(forward_demodulation,[],[f4102,f788]) ).
fof(f4417,plain,
( ~ spl2_18
| ~ spl2_41 ),
inference(avatar_contradiction_clause,[],[f4416]) ).
fof(f4416,plain,
( $false
| ~ spl2_18
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f4415]) ).
fof(f4415,plain,
( n0 != n0
| ~ spl2_18
| ~ spl2_41 ),
inference(forward_demodulation,[],[f4414,f296]) ).
fof(f4414,plain,
( n0 != sum(n0,n0)
| ~ spl2_18
| ~ spl2_41 ),
inference(forward_demodulation,[],[f4413,f389]) ).
fof(f389,plain,
n0 = sum(n13,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f4413,plain,
( sum(n0,n0) != sum(n13,n8)
| ~ spl2_18
| ~ spl2_41 ),
inference(forward_demodulation,[],[f4412,f123]) ).
fof(f4412,plain,
( sum(n0,n0) != sum(sum(n16,n18),n8)
| ~ spl2_18
| ~ spl2_41 ),
inference(forward_demodulation,[],[f4411,f438]) ).
fof(f4411,plain,
( sum(sum(n16,n18),n8) != sum(sum(n16,n5),n0)
| ~ spl2_18
| ~ spl2_41 ),
inference(forward_demodulation,[],[f4410,f374]) ).
fof(f4410,plain,
( sum(sum(n16,n18),n8) != sum(sum(n16,n5),sum(n3,n18))
| ~ spl2_18
| ~ spl2_41 ),
inference(forward_demodulation,[],[f4409,f288]) ).
fof(f4409,plain,
( sum(sum(pred(n17),n5),sum(n3,n18)) != sum(sum(pred(n17),n18),n8)
| ~ spl2_18
| ~ spl2_41 ),
inference(forward_demodulation,[],[f4408,f657]) ).
fof(f4408,plain,
( sum(sum(pred(n17),n5),sum(n3,succ(n17))) != sum(sum(pred(n17),succ(n17)),n8)
| ~ spl2_18
| ~ spl2_41 ),
inference(forward_demodulation,[],[f4102,f864]) ).
fof(f4377,plain,
( ~ spl2_18
| ~ spl2_32 ),
inference(avatar_contradiction_clause,[],[f4376]) ).
fof(f4376,plain,
( $false
| ~ spl2_18
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f4375]) ).
fof(f4375,plain,
( n18 != n18
| ~ spl2_18
| ~ spl2_32 ),
inference(forward_demodulation,[],[f4374,f357]) ).
fof(f4374,plain,
( n18 != sum(n9,n9)
| ~ spl2_18
| ~ spl2_32 ),
inference(forward_demodulation,[],[f4373,f197]) ).
fof(f4373,plain,
( sum(n9,n9) != sum(n10,n8)
| ~ spl2_18
| ~ spl2_32 ),
inference(forward_demodulation,[],[f4372,f464]) ).
fof(f4372,plain,
( sum(n9,n9) != sum(sum(n4,n6),n8)
| ~ spl2_18
| ~ spl2_32 ),
inference(forward_demodulation,[],[f4371,f622]) ).
fof(f4371,plain,
( sum(sum(n4,n6),n8) != sum(sum(n4,n5),n9)
| ~ spl2_18
| ~ spl2_32 ),
inference(forward_demodulation,[],[f4370,f126]) ).
fof(f4370,plain,
( sum(sum(pred(n5),n5),n9) != sum(sum(pred(n5),n6),n8)
| ~ spl2_18
| ~ spl2_32 ),
inference(forward_demodulation,[],[f4369,f46]) ).
fof(f4369,plain,
( sum(sum(pred(n5),n6),n8) != sum(sum(pred(n5),n5),sum(n3,n6))
| ~ spl2_18
| ~ spl2_32 ),
inference(forward_demodulation,[],[f4368,f692]) ).
fof(f4368,plain,
( sum(sum(pred(n5),succ(n5)),n8) != sum(sum(pred(n5),n5),sum(n3,succ(n5)))
| ~ spl2_18
| ~ spl2_32 ),
inference(forward_demodulation,[],[f4102,f828]) ).
fof(f4354,plain,
( ~ spl2_18
| ~ spl2_34 ),
inference(avatar_contradiction_clause,[],[f4353]) ).
fof(f4353,plain,
( $false
| ~ spl2_18
| ~ spl2_34 ),
inference(trivial_inequality_removal,[],[f4352]) ).
fof(f4352,plain,
( n8 != n8
| ~ spl2_18
| ~ spl2_34 ),
inference(forward_demodulation,[],[f4351,f509]) ).
fof(f4351,plain,
( n8 != sum(n0,n8)
| ~ spl2_18
| ~ spl2_34 ),
inference(forward_demodulation,[],[f4350,f157]) ).
fof(f4350,plain,
( sum(n0,n8) != sum(n4,n4)
| ~ spl2_18
| ~ spl2_34 ),
inference(forward_demodulation,[],[f4349,f477]) ).
fof(f4349,plain,
( sum(n0,n8) != sum(sum(n20,n5),n4)
| ~ spl2_18
| ~ spl2_34 ),
inference(forward_demodulation,[],[f4348,f244]) ).
fof(f4348,plain,
( sum(n0,n8) != sum(sum(n20,n5),sum(n3,n1))
| ~ spl2_18
| ~ spl2_34 ),
inference(forward_demodulation,[],[f4347,f510]) ).
fof(f4347,plain,
( sum(sum(n20,n5),sum(n3,n1)) != sum(sum(n20,n1),n8)
| ~ spl2_18
| ~ spl2_34 ),
inference(forward_demodulation,[],[f4346,f358]) ).
fof(f4346,plain,
( sum(sum(pred(n0),n5),sum(n3,n1)) != sum(sum(pred(n0),n1),n8)
| ~ spl2_18
| ~ spl2_34 ),
inference(forward_demodulation,[],[f4345,f192]) ).
fof(f4345,plain,
( sum(sum(pred(n0),n5),sum(n3,succ(n0))) != sum(sum(pred(n0),succ(n0)),n8)
| ~ spl2_18
| ~ spl2_34 ),
inference(forward_demodulation,[],[f4102,f836]) ).
fof(f4323,plain,
( ~ spl2_18
| ~ spl2_36 ),
inference(avatar_contradiction_clause,[],[f4322]) ).
fof(f4322,plain,
( $false
| ~ spl2_18
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f4321]) ).
fof(f4321,plain,
( n5 != n5
| ~ spl2_18
| ~ spl2_36 ),
inference(forward_demodulation,[],[f4320,f66]) ).
fof(f4320,plain,
( n5 != sum(n13,n13)
| ~ spl2_18
| ~ spl2_36 ),
inference(forward_demodulation,[],[f4319,f642]) ).
fof(f4319,plain,
( sum(n13,n13) != sum(n18,n8)
| ~ spl2_18
| ~ spl2_36 ),
inference(forward_demodulation,[],[f4318,f36]) ).
fof(f4318,plain,
( sum(n18,n8) != sum(sum(n8,n5),n13)
| ~ spl2_18
| ~ spl2_36 ),
inference(forward_demodulation,[],[f4317,f245]) ).
fof(f4317,plain,
( sum(n18,n8) != sum(sum(n8,n5),sum(n3,n10))
| ~ spl2_18
| ~ spl2_36 ),
inference(forward_demodulation,[],[f4316,f391]) ).
fof(f4316,plain,
( sum(sum(n8,n5),sum(n3,n10)) != sum(sum(n8,n10),n8)
| ~ spl2_18
| ~ spl2_36 ),
inference(forward_demodulation,[],[f4315,f333]) ).
fof(f4315,plain,
( sum(sum(pred(n9),n5),sum(n3,n10)) != sum(sum(pred(n9),n10),n8)
| ~ spl2_18
| ~ spl2_36 ),
inference(forward_demodulation,[],[f4314,f699]) ).
fof(f4314,plain,
( sum(sum(pred(n9),succ(n9)),n8) != sum(sum(pred(n9),n5),sum(n3,succ(n9)))
| ~ spl2_18
| ~ spl2_36 ),
inference(backward_demodulation,[],[f4102,f844]) ).
fof(f4301,plain,
( ~ spl2_18
| ~ spl2_40 ),
inference(avatar_contradiction_clause,[],[f4300]) ).
fof(f4300,plain,
( $false
| ~ spl2_18
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f4299]) ).
fof(f4299,plain,
( n2 != n2
| ~ spl2_18
| ~ spl2_40 ),
inference(forward_demodulation,[],[f4298,f433]) ).
fof(f4298,plain,
( n2 != sum(n1,n1)
| ~ spl2_18
| ~ spl2_40 ),
inference(forward_demodulation,[],[f4297,f436]) ).
fof(f4297,plain,
( sum(n1,n1) != sum(n15,n8)
| ~ spl2_18
| ~ spl2_40 ),
inference(forward_demodulation,[],[f4296,f402]) ).
fof(f4296,plain,
( sum(n1,n1) != sum(sum(n17,n19),n8)
| ~ spl2_18
| ~ spl2_40 ),
inference(forward_demodulation,[],[f4295,f674]) ).
fof(f4295,plain,
( sum(sum(n17,n19),n8) != sum(sum(n17,n5),n1)
| ~ spl2_18
| ~ spl2_40 ),
inference(forward_demodulation,[],[f4294,f651]) ).
fof(f4294,plain,
( sum(sum(pred(n18),n19),n8) != sum(sum(pred(n18),n5),n1)
| ~ spl2_18
| ~ spl2_40 ),
inference(forward_demodulation,[],[f4293,f441]) ).
fof(f4293,plain,
( sum(sum(pred(n18),n19),n8) != sum(sum(pred(n18),n5),sum(n3,n19))
| ~ spl2_18
| ~ spl2_40 ),
inference(forward_demodulation,[],[f4292,f40]) ).
fof(f4292,plain,
( sum(sum(pred(n18),n5),sum(n3,succ(n18))) != sum(sum(pred(n18),succ(n18)),n8)
| ~ spl2_18
| ~ spl2_40 ),
inference(backward_demodulation,[],[f4102,f860]) ).
fof(f4267,plain,
( ~ spl2_18
| ~ spl2_27 ),
inference(avatar_contradiction_clause,[],[f4266]) ).
fof(f4266,plain,
( $false
| ~ spl2_18
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f4265]) ).
fof(f4265,plain,
( n9 != n9
| ~ spl2_18
| ~ spl2_27 ),
inference(forward_demodulation,[],[f4264,f673]) ).
fof(f4264,plain,
( n9 != sum(n1,n8)
| ~ spl2_18
| ~ spl2_27 ),
inference(forward_demodulation,[],[f4263,f318]) ).
fof(f4263,plain,
( sum(n1,n8) != sum(n15,n15)
| ~ spl2_18
| ~ spl2_27 ),
inference(forward_demodulation,[],[f4262,f614]) ).
fof(f4262,plain,
( sum(n1,n8) != sum(sum(n10,n5),n15)
| ~ spl2_18
| ~ spl2_27 ),
inference(forward_demodulation,[],[f4261,f21]) ).
fof(f4261,plain,
( sum(sum(n10,n5),n15) != sum(sum(n10,n12),n8)
| ~ spl2_18
| ~ spl2_27 ),
inference(forward_demodulation,[],[f4260,f266]) ).
fof(f4260,plain,
( sum(sum(pred(n11),n12),n8) != sum(sum(pred(n11),n5),n15)
| ~ spl2_18
| ~ spl2_27 ),
inference(forward_demodulation,[],[f4259,f516]) ).
fof(f4259,plain,
( sum(sum(pred(n11),n12),n8) != sum(sum(pred(n11),n5),sum(n3,n12))
| ~ spl2_18
| ~ spl2_27 ),
inference(forward_demodulation,[],[f4258,f641]) ).
fof(f4258,plain,
( sum(sum(pred(n11),succ(n11)),n8) != sum(sum(pred(n11),n5),sum(n3,succ(n11)))
| ~ spl2_18
| ~ spl2_27 ),
inference(forward_demodulation,[],[f4102,f808]) ).
fof(f4229,plain,
( ~ spl2_18
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f4228]) ).
fof(f4228,plain,
( $false
| ~ spl2_18
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f4227]) ).
fof(f4227,plain,
( n11 != n11
| ~ spl2_18
| ~ spl2_24 ),
inference(forward_demodulation,[],[f4226,f550]) ).
fof(f4226,plain,
( n11 != sum(n3,n8)
| ~ spl2_18
| ~ spl2_24 ),
inference(forward_demodulation,[],[f4225,f193]) ).
fof(f4225,plain,
( sum(n3,n8) != sum(n16,n16)
| ~ spl2_18
| ~ spl2_24 ),
inference(forward_demodulation,[],[f4224,f353]) ).
fof(f4224,plain,
( sum(n3,n8) != sum(sum(n11,n5),n16)
| ~ spl2_18
| ~ spl2_24 ),
inference(forward_demodulation,[],[f4223,f125]) ).
fof(f4223,plain,
( sum(sum(n11,n5),n16) != sum(sum(n11,n13),n8)
| ~ spl2_18
| ~ spl2_24 ),
inference(forward_demodulation,[],[f4222,f347]) ).
fof(f4222,plain,
( sum(sum(pred(n12),n13),n8) != sum(sum(pred(n12),n5),n16)
| ~ spl2_18
| ~ spl2_24 ),
inference(forward_demodulation,[],[f4221,f559]) ).
fof(f4221,plain,
( sum(sum(pred(n12),n13),n8) != sum(sum(pred(n12),n5),sum(n3,n13))
| ~ spl2_18
| ~ spl2_24 ),
inference(forward_demodulation,[],[f4220,f278]) ).
fof(f4220,plain,
( sum(sum(pred(n12),n5),sum(n3,succ(n12))) != sum(sum(pred(n12),succ(n12)),n8)
| ~ spl2_18
| ~ spl2_24 ),
inference(forward_demodulation,[],[f4102,f796]) ).
fof(f4205,plain,
( ~ spl2_18
| ~ spl2_39 ),
inference(avatar_contradiction_clause,[],[f4204]) ).
fof(f4204,plain,
( $false
| ~ spl2_18
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f4203]) ).
fof(f4203,plain,
( sum(n8,n8) != sum(n8,n8)
| ~ spl2_18
| ~ spl2_39 ),
inference(forward_demodulation,[],[f4202,f670]) ).
fof(f4202,plain,
( sum(sum(n3,n5),sum(n3,n5)) != sum(sum(n3,n5),n8)
| ~ spl2_18
| ~ spl2_39 ),
inference(forward_demodulation,[],[f4201,f688]) ).
fof(f4201,plain,
( sum(sum(pred(n4),n5),sum(n3,n5)) != sum(sum(pred(n4),n5),n8)
| ~ spl2_18
| ~ spl2_39 ),
inference(forward_demodulation,[],[f4200,f567]) ).
fof(f4200,plain,
( sum(sum(pred(n4),succ(n4)),n8) != sum(sum(pred(n4),n5),sum(n3,succ(n4)))
| ~ spl2_18
| ~ spl2_39 ),
inference(backward_demodulation,[],[f4102,f856]) ).
fof(f4189,plain,
( ~ spl2_18
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f4188]) ).
fof(f4188,plain,
( $false
| ~ spl2_18
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f4187]) ).
fof(f4187,plain,
( n20 != n20
| ~ spl2_18
| ~ spl2_28 ),
inference(forward_demodulation,[],[f4186,f324]) ).
fof(f4186,plain,
( n20 != sum(n10,n10)
| ~ spl2_18
| ~ spl2_28 ),
inference(forward_demodulation,[],[f4185,f257]) ).
fof(f4185,plain,
( sum(n10,n10) != sum(n12,n8)
| ~ spl2_18
| ~ spl2_28 ),
inference(forward_demodulation,[],[f4184,f511]) ).
fof(f4184,plain,
( sum(n10,n10) != sum(sum(n5,n7),n8)
| ~ spl2_18
| ~ spl2_28 ),
inference(forward_demodulation,[],[f4183,f230]) ).
fof(f4183,plain,
( sum(sum(n5,n7),n8) != sum(sum(n5,n5),n10)
| ~ spl2_18
| ~ spl2_28 ),
inference(forward_demodulation,[],[f4182,f530]) ).
fof(f4182,plain,
( sum(sum(pred(n6),n7),n8) != sum(sum(pred(n6),n5),n10)
| ~ spl2_18
| ~ spl2_28 ),
inference(forward_demodulation,[],[f4181,f181]) ).
fof(f4181,plain,
( sum(sum(pred(n6),n7),n8) != sum(sum(pred(n6),n5),sum(n3,n7))
| ~ spl2_18
| ~ spl2_28 ),
inference(forward_demodulation,[],[f4180,f457]) ).
fof(f4180,plain,
( sum(sum(pred(n6),succ(n6)),n8) != sum(sum(pred(n6),n5),sum(n3,succ(n6)))
| ~ spl2_18
| ~ spl2_28 ),
inference(backward_demodulation,[],[f4102,f812]) ).
fof(f4160,plain,
( ~ spl2_18
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f4159]) ).
fof(f4159,plain,
( $false
| ~ spl2_18
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f4158]) ).
fof(f4158,plain,
( n14 != n14
| ~ spl2_18
| ~ spl2_29 ),
inference(forward_demodulation,[],[f4157,f496]) ).
fof(f4157,plain,
( n14 != sum(n6,n8)
| ~ spl2_18
| ~ spl2_29 ),
inference(forward_demodulation,[],[f4156,f395]) ).
fof(f4156,plain,
( sum(n6,n8) != sum(n7,n7)
| ~ spl2_18
| ~ spl2_29 ),
inference(forward_demodulation,[],[f4155,f248]) ).
fof(f4155,plain,
( sum(n6,n8) != sum(sum(n2,n5),n7)
| ~ spl2_18
| ~ spl2_29 ),
inference(forward_demodulation,[],[f4154,f529]) ).
fof(f4154,plain,
( sum(n6,n8) != sum(sum(n2,n5),sum(n3,n4))
| ~ spl2_18
| ~ spl2_29 ),
inference(forward_demodulation,[],[f4153,f533]) ).
fof(f4153,plain,
( sum(sum(n2,n5),sum(n3,n4)) != sum(sum(n2,n4),n8)
| ~ spl2_18
| ~ spl2_29 ),
inference(forward_demodulation,[],[f4152,f174]) ).
fof(f4152,plain,
( sum(sum(pred(n3),n5),sum(n3,n4)) != sum(sum(pred(n3),n4),n8)
| ~ spl2_18
| ~ spl2_29 ),
inference(forward_demodulation,[],[f4151,f447]) ).
fof(f4151,plain,
( sum(sum(pred(n3),succ(n3)),n8) != sum(sum(pred(n3),n5),sum(n3,succ(n3)))
| ~ spl2_18
| ~ spl2_29 ),
inference(backward_demodulation,[],[f4102,f816]) ).
fof(f4131,plain,
( ~ spl2_18
| ~ spl2_26 ),
inference(avatar_contradiction_clause,[],[f4130]) ).
fof(f4130,plain,
( $false
| ~ spl2_18
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f4129]) ).
fof(f4129,plain,
( n6 != n6
| ~ spl2_18
| ~ spl2_26 ),
inference(forward_demodulation,[],[f4128,f419]) ).
fof(f4128,plain,
( n6 != sum(n3,n3)
| ~ spl2_18
| ~ spl2_26 ),
inference(forward_demodulation,[],[f4127,f127]) ).
fof(f4127,plain,
( sum(n3,n3) != sum(n19,n8)
| ~ spl2_18
| ~ spl2_26 ),
inference(forward_demodulation,[],[f4126,f323]) ).
fof(f4126,plain,
( sum(n3,n3) != sum(sum(n19,n0),n8)
| ~ spl2_18
| ~ spl2_26 ),
inference(forward_demodulation,[],[f4125,f110]) ).
fof(f4125,plain,
( sum(sum(n19,n0),n8) != sum(sum(n19,n5),n3)
| ~ spl2_18
| ~ spl2_26 ),
inference(forward_demodulation,[],[f4124,f214]) ).
fof(f4124,plain,
( sum(sum(pred(n20),n0),n8) != sum(sum(pred(n20),n5),n3)
| ~ spl2_18
| ~ spl2_26 ),
inference(forward_demodulation,[],[f4123,f427]) ).
fof(f4123,plain,
( sum(sum(pred(n20),n0),n8) != sum(sum(pred(n20),n5),sum(n3,n0))
| ~ spl2_18
| ~ spl2_26 ),
inference(forward_demodulation,[],[f4122,f580]) ).
fof(f4122,plain,
( sum(sum(pred(n20),succ(n20)),n8) != sum(sum(pred(n20),n5),sum(n3,succ(n20)))
| ~ spl2_18
| ~ spl2_26 ),
inference(backward_demodulation,[],[f4102,f804]) ).
fof(f4093,plain,
( ~ spl2_18
| ~ spl2_30 ),
inference(avatar_contradiction_clause,[],[f4092]) ).
fof(f4092,plain,
( $false
| ~ spl2_18
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f4091]) ).
fof(f4091,plain,
( n1 != n1
| ~ spl2_18
| ~ spl2_30 ),
inference(forward_demodulation,[],[f4090,f470]) ).
fof(f4090,plain,
( n1 != sum(n11,n11)
| ~ spl2_18
| ~ spl2_30 ),
inference(forward_demodulation,[],[f4089,f424]) ).
fof(f4089,plain,
( sum(n11,n11) != sum(n14,n8)
| ~ spl2_18
| ~ spl2_30 ),
inference(forward_demodulation,[],[f4088,f496]) ).
fof(f4088,plain,
( sum(n11,n11) != sum(sum(n6,n8),n8)
| ~ spl2_18
| ~ spl2_30 ),
inference(forward_demodulation,[],[f4087,f379]) ).
fof(f4087,plain,
( sum(sum(n6,n8),n8) != sum(sum(n6,n5),n11)
| ~ spl2_18
| ~ spl2_30 ),
inference(forward_demodulation,[],[f4086,f519]) ).
fof(f4086,plain,
( sum(sum(pred(n7),n8),n8) != sum(sum(pred(n7),n5),n11)
| ~ spl2_18
| ~ spl2_30 ),
inference(forward_demodulation,[],[f4085,f670]) ).
fof(f4085,plain,
( sum(sum(pred(n7),n5),n11) != sum(sum(pred(n7),n8),sum(n3,n5))
| ~ spl2_18
| ~ spl2_30 ),
inference(forward_demodulation,[],[f4084,f550]) ).
fof(f4084,plain,
( sum(sum(pred(n7),n8),sum(n3,n5)) != sum(sum(pred(n7),n5),sum(n3,n8))
| ~ spl2_18
| ~ spl2_30 ),
inference(forward_demodulation,[],[f4083,f567]) ).
fof(f4083,plain,
( sum(sum(pred(n7),succ(n4)),sum(n3,n8)) != sum(sum(pred(n7),n8),sum(n3,succ(n4)))
| ~ spl2_18
| ~ spl2_30 ),
inference(forward_demodulation,[],[f4082,f688]) ).
fof(f4082,plain,
( sum(sum(pred(n7),n8),sum(pred(n4),succ(n4))) != sum(sum(pred(n7),succ(n4)),sum(pred(n4),n8))
| ~ spl2_18
| ~ spl2_30 ),
inference(forward_demodulation,[],[f4081,f302]) ).
fof(f4081,plain,
( sum(sum(pred(n7),succ(n7)),sum(pred(n4),succ(n4))) != sum(sum(pred(n7),succ(n4)),sum(pred(n4),succ(n7)))
| ~ spl2_18
| ~ spl2_30 ),
inference(forward_demodulation,[],[f4080,f820]) ).
fof(f4036,plain,
( ~ spl2_20
| ~ spl2_35 ),
inference(avatar_contradiction_clause,[],[f4035]) ).
fof(f4035,plain,
( $false
| ~ spl2_20
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f4034]) ).
fof(f4034,plain,
( n20 != n20
| ~ spl2_20
| ~ spl2_35 ),
inference(forward_demodulation,[],[f4033,f297]) ).
fof(f4033,plain,
( n20 != sum(n7,n13)
| ~ spl2_20
| ~ spl2_35 ),
inference(forward_demodulation,[],[f4032,f324]) ).
fof(f4032,plain,
( sum(n7,n13) != sum(n10,n10)
| ~ spl2_20
| ~ spl2_35 ),
inference(forward_demodulation,[],[f4031,f597]) ).
fof(f597,plain,
n10 = sum(n13,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f4031,plain,
( sum(n7,n13) != sum(sum(n13,n18),n10)
| ~ spl2_20
| ~ spl2_35 ),
inference(forward_demodulation,[],[f4030,f123]) ).
fof(f4030,plain,
( sum(sum(n13,n18),n10) != sum(n7,sum(n16,n18))
| ~ spl2_20
| ~ spl2_35 ),
inference(forward_demodulation,[],[f4029,f498]) ).
fof(f4029,plain,
( sum(n7,sum(n16,n18)) != sum(sum(n13,n18),sum(n16,n15))
| ~ spl2_20
| ~ spl2_35 ),
inference(forward_demodulation,[],[f4028,f288]) ).
fof(f4028,plain,
( sum(n7,sum(pred(n17),n18)) != sum(sum(n13,n18),sum(pred(n17),n15))
| ~ spl2_20
| ~ spl2_35 ),
inference(forward_demodulation,[],[f4027,f657]) ).
fof(f4027,plain,
( sum(sum(n13,succ(n17)),sum(pred(n17),n15)) != sum(n7,sum(pred(n17),succ(n17)))
| ~ spl2_20
| ~ spl2_35 ),
inference(backward_demodulation,[],[f3542,f779]) ).
fof(f3542,plain,
( sum(sum(n13,succ(sK1)),sum(pred(sK1),n15)) != sum(n7,sum(pred(sK1),succ(sK1)))
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3541,f187]) ).
fof(f3541,plain,
( sum(sum(n13,succ(sK1)),sum(pred(sK1),n15)) != sum(sum(n13,n15),sum(pred(sK1),succ(sK1)))
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3540,f454]) ).
fof(f454,plain,
n13 = pred(n14),
inference(cnf_transformation,[],[f3]) ).
fof(f3540,plain,
( sum(sum(pred(n14),succ(sK1)),sum(pred(sK1),n15)) != sum(sum(pred(n14),n15),sum(pred(sK1),succ(sK1)))
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3539,f217]) ).
fof(f217,plain,
succ(n14) = n15,
inference(cnf_transformation,[],[f3]) ).
fof(f3539,plain,
( sum(sum(pred(n14),succ(sK1)),sum(pred(sK1),succ(n14))) != sum(sum(pred(n14),succ(n14)),sum(pred(sK1),succ(sK1)))
| ~ spl2_35 ),
inference(forward_demodulation,[],[f346,f840]) ).
fof(f840,plain,
( n14 = sK0
| ~ spl2_35 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f838,plain,
( spl2_35
<=> n14 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_35])]) ).
fof(f4011,plain,
( ~ spl2_1
| ~ spl2_35 ),
inference(avatar_contradiction_clause,[],[f4010]) ).
fof(f4010,plain,
( $false
| ~ spl2_1
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f4009]) ).
fof(f4009,plain,
( n13 != n13
| ~ spl2_1
| ~ spl2_35 ),
inference(forward_demodulation,[],[f4008,f619]) ).
fof(f4008,plain,
( n13 != sum(n7,n6)
| ~ spl2_1
| ~ spl2_35 ),
inference(forward_demodulation,[],[f4007,f106]) ).
fof(f4007,plain,
( sum(n7,n6) != sum(n17,n17)
| ~ spl2_1
| ~ spl2_35 ),
inference(forward_demodulation,[],[f4006,f606]) ).
fof(f4006,plain,
( sum(n7,n6) != sum(sum(n13,n4),n17)
| ~ spl2_1
| ~ spl2_35 ),
inference(forward_demodulation,[],[f4005,f387]) ).
fof(f4005,plain,
( sum(n7,n6) != sum(sum(n13,n4),sum(n2,n15))
| ~ spl2_1
| ~ spl2_35 ),
inference(forward_demodulation,[],[f4004,f533]) ).
fof(f4004,plain,
( sum(sum(n13,n4),sum(n2,n15)) != sum(n7,sum(n2,n4))
| ~ spl2_1
| ~ spl2_35 ),
inference(forward_demodulation,[],[f4003,f174]) ).
fof(f4003,plain,
( sum(n7,sum(pred(n3),n4)) != sum(sum(n13,n4),sum(pred(n3),n15))
| ~ spl2_1
| ~ spl2_35 ),
inference(forward_demodulation,[],[f4002,f447]) ).
fof(f4002,plain,
( sum(sum(n13,succ(n3)),sum(pred(n3),n15)) != sum(n7,sum(pred(n3),succ(n3)))
| ~ spl2_1
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3542,f703]) ).
fof(f3974,plain,
( ~ spl2_3
| ~ spl2_35 ),
inference(avatar_contradiction_clause,[],[f3973]) ).
fof(f3973,plain,
( $false
| ~ spl2_3
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f3972]) ).
fof(f3972,plain,
( n12 != n12
| ~ spl2_3
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3971,f316]) ).
fof(f3971,plain,
( n12 != sum(n6,n6)
| ~ spl2_3
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3970,f599]) ).
fof(f3970,plain,
( sum(n6,n6) != sum(n7,n5)
| ~ spl2_3
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3969,f130]) ).
fof(f3969,plain,
( sum(n7,n5) != sum(sum(n13,n14),n6)
| ~ spl2_3
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3968,f65]) ).
fof(f3968,plain,
( sum(n7,n5) != sum(sum(n13,n14),sum(n12,n15))
| ~ spl2_3
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3967,f610]) ).
fof(f3967,plain,
( sum(sum(n13,n14),sum(n12,n15)) != sum(n7,sum(n12,n14))
| ~ spl2_3
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3966,f225]) ).
fof(f3966,plain,
( sum(n7,sum(pred(n13),n14)) != sum(sum(n13,n14),sum(pred(n13),n15))
| ~ spl2_3
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3965,f502]) ).
fof(f3965,plain,
( sum(sum(n13,succ(n13)),sum(pred(n13),n15)) != sum(n7,sum(pred(n13),succ(n13)))
| ~ spl2_3
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3542,f711]) ).
fof(f3954,plain,
( ~ spl2_5
| ~ spl2_35 ),
inference(avatar_contradiction_clause,[],[f3953]) ).
fof(f3953,plain,
( $false
| ~ spl2_5
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f3952]) ).
fof(f3952,plain,
( n0 != n0
| ~ spl2_5
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3951,f296]) ).
fof(f3951,plain,
( n0 != sum(n0,n0)
| ~ spl2_5
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3950,f345]) ).
fof(f3950,plain,
( sum(n0,n0) != sum(n7,n14)
| ~ spl2_5
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3949,f496]) ).
fof(f3949,plain,
( sum(n0,n0) != sum(n7,sum(n6,n8))
| ~ spl2_5
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3948,f389]) ).
fof(f3948,plain,
( sum(n7,sum(n6,n8)) != sum(sum(n13,n8),n0)
| ~ spl2_5
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3947,f133]) ).
fof(f3947,plain,
( sum(n7,sum(n6,n8)) != sum(sum(n13,n8),sum(n6,n15))
| ~ spl2_5
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3946,f519]) ).
fof(f3946,plain,
( sum(sum(n13,n8),sum(pred(n7),n15)) != sum(n7,sum(pred(n7),n8))
| ~ spl2_5
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3945,f302]) ).
fof(f3945,plain,
( sum(sum(n13,succ(n7)),sum(pred(n7),n15)) != sum(n7,sum(pred(n7),succ(n7)))
| ~ spl2_5
| ~ spl2_35 ),
inference(backward_demodulation,[],[f3542,f719]) ).
fof(f3922,plain,
( ~ spl2_19
| ~ spl2_35 ),
inference(avatar_contradiction_clause,[],[f3921]) ).
fof(f3921,plain,
( $false
| ~ spl2_19
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f3920]) ).
fof(f3920,plain,
( n11 != n11
| ~ spl2_19
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3919,f101]) ).
fof(f3919,plain,
( n11 != sum(n7,n4)
| ~ spl2_19
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3918,f193]) ).
fof(f3918,plain,
( sum(n7,n4) != sum(n16,n16)
| ~ spl2_19
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3917,f141]) ).
fof(f3917,plain,
( sum(n16,n16) != sum(n7,sum(n1,n3))
| ~ spl2_19
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3916,f204]) ).
fof(f3916,plain,
( sum(n7,sum(n1,n3)) != sum(sum(n13,n3),n16)
| ~ spl2_19
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3915,f184]) ).
fof(f3915,plain,
( sum(sum(n13,succ(n2)),n16) != sum(n7,sum(n1,succ(n2)))
| ~ spl2_19
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3914,f626]) ).
fof(f3914,plain,
( sum(n7,sum(n1,succ(n2))) != sum(sum(n13,succ(n2)),sum(n1,n15))
| ~ spl2_19
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3913,f231]) ).
fof(f3913,plain,
( sum(n7,sum(pred(n2),succ(n2))) != sum(sum(n13,succ(n2)),sum(pred(n2),n15))
| ~ spl2_19
| ~ spl2_35 ),
inference(backward_demodulation,[],[f3542,f775]) ).
fof(f3887,plain,
( ~ spl2_8
| ~ spl2_35 ),
inference(avatar_contradiction_clause,[],[f3886]) ).
fof(f3886,plain,
( $false
| ~ spl2_8
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f3885]) ).
fof(f3885,plain,
( n5 != n5
| ~ spl2_8
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3884,f380]) ).
fof(f3884,plain,
( n5 != sum(n7,n19)
| ~ spl2_8
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3883,f66]) ).
fof(f3883,plain,
( sum(n7,n19) != sum(n13,n13)
| ~ spl2_8
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3882,f323]) ).
fof(f3882,plain,
( sum(n13,n13) != sum(n7,sum(n19,n0))
| ~ spl2_8
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3881,f267]) ).
fof(f3881,plain,
( sum(n7,sum(n19,n0)) != sum(sum(n13,n0),n13)
| ~ spl2_8
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3880,f580]) ).
fof(f3880,plain,
( sum(n7,sum(n19,succ(n20))) != sum(sum(n13,succ(n20)),n13)
| ~ spl2_8
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3879,f115]) ).
fof(f3879,plain,
( sum(n7,sum(n19,succ(n20))) != sum(sum(n13,succ(n20)),sum(n19,n15))
| ~ spl2_8
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3878,f214]) ).
fof(f3878,plain,
( sum(n7,sum(pred(n20),succ(n20))) != sum(sum(n13,succ(n20)),sum(pred(n20),n15))
| ~ spl2_8
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3542,f731]) ).
fof(f3861,plain,
( ~ spl2_10
| ~ spl2_35 ),
inference(avatar_contradiction_clause,[],[f3860]) ).
fof(f3860,plain,
( $false
| ~ spl2_10
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f3859]) ).
fof(f3859,plain,
( n6 != n6
| ~ spl2_10
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3858,f419]) ).
fof(f3858,plain,
( n6 != sum(n3,n3)
| ~ spl2_10
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3857,f505]) ).
fof(f3857,plain,
( sum(n3,n3) != sum(n7,n20)
| ~ spl2_10
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3856,f644]) ).
fof(f3856,plain,
( sum(n7,n20) != sum(sum(n13,n11),n3)
| ~ spl2_10
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3855,f426]) ).
fof(f3855,plain,
( sum(n7,n20) != sum(sum(n13,n11),sum(n9,n15))
| ~ spl2_10
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3854,f16]) ).
fof(f3854,plain,
( sum(sum(n13,n11),sum(n9,n15)) != sum(n7,sum(n9,n11))
| ~ spl2_10
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3853,f693]) ).
fof(f3853,plain,
( sum(sum(n13,n11),sum(pred(n10),n15)) != sum(n7,sum(pred(n10),n11))
| ~ spl2_10
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3852,f114]) ).
fof(f3852,plain,
( sum(sum(n13,succ(n10)),sum(pred(n10),n15)) != sum(n7,sum(pred(n10),succ(n10)))
| ~ spl2_10
| ~ spl2_35 ),
inference(backward_demodulation,[],[f3542,f739]) ).
fof(f3837,plain,
( ~ spl2_12
| ~ spl2_35 ),
inference(avatar_contradiction_clause,[],[f3836]) ).
fof(f3836,plain,
( $false
| ~ spl2_12
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f3835]) ).
fof(f3835,plain,
( n3 != n3
| ~ spl2_12
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3834,f618]) ).
fof(f3834,plain,
( n3 != sum(n7,n17)
| ~ spl2_12
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3833,f546]) ).
fof(f3833,plain,
( sum(n7,n17) != sum(n12,n12)
| ~ spl2_12
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3832,f571]) ).
fof(f3832,plain,
( sum(n7,n17) != sum(sum(n13,n20),n12)
| ~ spl2_12
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3831,f581]) ).
fof(f3831,plain,
( sum(n7,n17) != sum(sum(n13,n20),sum(n18,n15))
| ~ spl2_12
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3830,f153]) ).
fof(f3830,plain,
( sum(sum(n13,n20),sum(n18,n15)) != sum(n7,sum(n18,n20))
| ~ spl2_12
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3829,f350]) ).
fof(f3829,plain,
( sum(n7,sum(pred(n19),n20)) != sum(sum(n13,n20),sum(pred(n19),n15))
| ~ spl2_12
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3828,f508]) ).
fof(f3828,plain,
( sum(sum(n13,succ(n19)),sum(pred(n19),n15)) != sum(n7,sum(pred(n19),succ(n19)))
| ~ spl2_12
| ~ spl2_35 ),
inference(backward_demodulation,[],[f3542,f747]) ).
fof(f3806,plain,
( ~ spl2_9
| ~ spl2_35 ),
inference(avatar_contradiction_clause,[],[f3805]) ).
fof(f3805,plain,
( $false
| ~ spl2_9
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f3804]) ).
fof(f3804,plain,
( n2 != n2
| ~ spl2_9
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3803,f433]) ).
fof(f3803,plain,
( n2 != sum(n1,n1)
| ~ spl2_9
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3802,f186]) ).
fof(f3802,plain,
( sum(n1,n1) != sum(n7,n16)
| ~ spl2_9
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3801,f343]) ).
fof(f3801,plain,
( sum(n7,n16) != sum(sum(n13,n9),n1)
| ~ spl2_9
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3800,f648]) ).
fof(f3800,plain,
( sum(sum(n13,n9),n1) != sum(n7,sum(n7,n9))
| ~ spl2_9
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3799,f474]) ).
fof(f3799,plain,
( sum(n7,sum(n7,succ(n8))) != sum(sum(n13,succ(n8)),n1)
| ~ spl2_9
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3798,f435]) ).
fof(f435,plain,
n1 = sum(n7,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f3798,plain,
( sum(n7,sum(n7,succ(n8))) != sum(sum(n13,succ(n8)),sum(n7,n15))
| ~ spl2_9
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3797,f607]) ).
fof(f3797,plain,
( sum(n7,sum(pred(n8),succ(n8))) != sum(sum(n13,succ(n8)),sum(pred(n8),n15))
| ~ spl2_9
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3542,f735]) ).
fof(f3767,plain,
( ~ spl2_6
| ~ spl2_35 ),
inference(avatar_contradiction_clause,[],[f3766]) ).
fof(f3766,plain,
( $false
| ~ spl2_6
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f3765]) ).
fof(f3765,plain,
( n8 != n8
| ~ spl2_6
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3764,f157]) ).
fof(f3764,plain,
( n8 != sum(n4,n4)
| ~ spl2_6
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3763,f483]) ).
fof(f3763,plain,
( sum(n4,n4) != sum(n7,n1)
| ~ spl2_6
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3762,f21]) ).
fof(f3762,plain,
( sum(n4,n4) != sum(n7,sum(n10,n12))
| ~ spl2_6
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3761,f643]) ).
fof(f3761,plain,
( sum(n7,sum(n10,n12)) != sum(sum(n13,n12),n4)
| ~ spl2_6
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3760,f330]) ).
fof(f3760,plain,
( sum(n7,sum(n10,n12)) != sum(sum(n13,n12),sum(n10,n15))
| ~ spl2_6
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3759,f266]) ).
fof(f3759,plain,
( sum(sum(n13,n12),sum(pred(n11),n15)) != sum(n7,sum(pred(n11),n12))
| ~ spl2_6
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3758,f641]) ).
fof(f3758,plain,
( sum(sum(n13,succ(n11)),sum(pred(n11),n15)) != sum(n7,sum(pred(n11),succ(n11)))
| ~ spl2_6
| ~ spl2_35 ),
inference(backward_demodulation,[],[f3542,f723]) ).
fof(f3747,plain,
( ~ spl2_11
| ~ spl2_35 ),
inference(avatar_contradiction_clause,[],[f3746]) ).
fof(f3746,plain,
( $false
| ~ spl2_11
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f3745]) ).
fof(f3745,plain,
( n18 != n18
| ~ spl2_11
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3744,f19]) ).
fof(f3744,plain,
( n18 != sum(n7,n11)
| ~ spl2_11
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3743,f357]) ).
fof(f3743,plain,
( sum(n7,n11) != sum(n9,n9)
| ~ spl2_11
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3742,f325]) ).
fof(f3742,plain,
( sum(n7,n11) != sum(sum(n13,n17),n9)
| ~ spl2_11
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3741,f318]) ).
fof(f3741,plain,
( sum(n7,n11) != sum(sum(n13,n17),sum(n15,n15))
| ~ spl2_11
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3740,f383]) ).
fof(f3740,plain,
( sum(sum(n13,n17),sum(n15,n15)) != sum(n7,sum(n15,n17))
| ~ spl2_11
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3739,f418]) ).
fof(f3739,plain,
( sum(sum(n13,n17),sum(pred(n16),n15)) != sum(n7,sum(pred(n16),n17))
| ~ spl2_11
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3738,f233]) ).
fof(f3738,plain,
( sum(sum(n13,succ(n16)),sum(pred(n16),n15)) != sum(n7,sum(pred(n16),succ(n16)))
| ~ spl2_11
| ~ spl2_35 ),
inference(backward_demodulation,[],[f3542,f743]) ).
fof(f3704,plain,
( ~ spl2_13
| ~ spl2_35 ),
inference(avatar_contradiction_clause,[],[f3703]) ).
fof(f3703,plain,
( $false
| ~ spl2_13
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f3702]) ).
fof(f3702,plain,
( n17 != n17
| ~ spl2_13
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3701,f621]) ).
fof(f3701,plain,
( n17 != sum(n7,n10)
| ~ spl2_13
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3700,f210]) ).
fof(f3700,plain,
( sum(n7,n10) != sum(n19,n19)
| ~ spl2_13
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3699,f675]) ).
fof(f3699,plain,
( sum(n7,n10) != sum(sum(n13,n6),n19)
| ~ spl2_13
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3698,f403]) ).
fof(f3698,plain,
( sum(n7,n10) != sum(sum(n13,n6),sum(n4,n15))
| ~ spl2_13
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3697,f464]) ).
fof(f3697,plain,
( sum(sum(n13,n6),sum(n4,n15)) != sum(n7,sum(n4,n6))
| ~ spl2_13
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3696,f126]) ).
fof(f3696,plain,
( sum(sum(n13,n6),sum(pred(n5),n15)) != sum(n7,sum(pred(n5),n6))
| ~ spl2_13
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3695,f692]) ).
fof(f3695,plain,
( sum(sum(n13,succ(n5)),sum(pred(n5),n15)) != sum(n7,sum(pred(n5),succ(n5)))
| ~ spl2_13
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3542,f751]) ).
fof(f3678,plain,
( ~ spl2_15
| ~ spl2_35 ),
inference(avatar_contradiction_clause,[],[f3677]) ).
fof(f3677,plain,
( $false
| ~ spl2_15
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f3676]) ).
fof(f3676,plain,
( n1 != n1
| ~ spl2_15
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3675,f435]) ).
fof(f3675,plain,
( n1 != sum(n7,n15)
| ~ spl2_15
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3674,f470]) ).
fof(f3674,plain,
( sum(n7,n15) != sum(n11,n11)
| ~ spl2_15
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3673,f690]) ).
fof(f3673,plain,
( sum(n7,n15) != sum(sum(n13,n19),n11)
| ~ spl2_15
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3672,f255]) ).
fof(f3672,plain,
( sum(n7,n15) != sum(sum(n13,n19),sum(n17,n15))
| ~ spl2_15
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3671,f402]) ).
fof(f3671,plain,
( sum(sum(n13,n19),sum(n17,n15)) != sum(n7,sum(n17,n19))
| ~ spl2_15
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3670,f651]) ).
fof(f3670,plain,
( sum(sum(n13,n19),sum(pred(n18),n15)) != sum(n7,sum(pred(n18),n19))
| ~ spl2_15
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3669,f40]) ).
fof(f3669,plain,
( sum(sum(n13,succ(n18)),sum(pred(n18),n15)) != sum(n7,sum(pred(n18),succ(n18)))
| ~ spl2_15
| ~ spl2_35 ),
inference(backward_demodulation,[],[f3542,f759]) ).
fof(f3658,plain,
( ~ spl2_21
| ~ spl2_35 ),
inference(avatar_contradiction_clause,[],[f3657]) ).
fof(f3657,plain,
( $false
| ~ spl2_21
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f3656]) ).
fof(f3656,plain,
( n16 != n16
| ~ spl2_21
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3655,f648]) ).
fof(f3655,plain,
( n16 != sum(n7,n9)
| ~ spl2_21
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3654,f177]) ).
fof(f3654,plain,
( sum(n7,n9) != sum(n8,n8)
| ~ spl2_21
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3653,f413]) ).
fof(f3653,plain,
( sum(n7,n9) != sum(sum(n13,n16),n8)
| ~ spl2_21
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3652,f93]) ).
fof(f3652,plain,
( sum(n7,n9) != sum(sum(n13,n16),sum(n14,n15))
| ~ spl2_21
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3651,f486]) ).
fof(f3651,plain,
( sum(sum(n13,n16),sum(n14,n15)) != sum(n7,sum(n14,n16))
| ~ spl2_21
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3650,f37]) ).
fof(f3650,plain,
( sum(sum(n13,succ(n15)),sum(n14,n15)) != sum(n7,sum(n14,succ(n15)))
| ~ spl2_21
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3649,f562]) ).
fof(f3649,plain,
( sum(n7,sum(pred(n15),succ(n15))) != sum(sum(n13,succ(n15)),sum(pred(n15),n15))
| ~ spl2_21
| ~ spl2_35 ),
inference(backward_demodulation,[],[f3542,f783]) ).
fof(f3621,plain,
( ~ spl2_7
| ~ spl2_35 ),
inference(avatar_contradiction_clause,[],[f3620]) ).
fof(f3620,plain,
( $false
| ~ spl2_7
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f3619]) ).
fof(f3619,plain,
( n7 != n7
| ~ spl2_7
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3618,f568]) ).
fof(f3618,plain,
( n7 != sum(n7,n0)
| ~ spl2_7
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3617,f243]) ).
fof(f3617,plain,
( sum(n7,n0) != sum(n14,n14)
| ~ spl2_7
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3616,f510]) ).
fof(f3616,plain,
( sum(n14,n14) != sum(n7,sum(n20,n1))
| ~ spl2_7
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3615,f367]) ).
fof(f3615,plain,
( sum(n7,sum(n20,n1)) != sum(sum(n13,n1),n14)
| ~ spl2_7
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3614,f355]) ).
fof(f3614,plain,
( sum(n7,sum(n20,n1)) != sum(sum(n13,n1),sum(n20,n15))
| ~ spl2_7
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3613,f192]) ).
fof(f3613,plain,
( sum(sum(n13,succ(n0)),sum(n20,n15)) != sum(n7,sum(n20,succ(n0)))
| ~ spl2_7
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3612,f358]) ).
fof(f3612,plain,
( sum(n7,sum(pred(n0),succ(n0))) != sum(sum(n13,succ(n0)),sum(pred(n0),n15))
| ~ spl2_7
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3542,f727]) ).
fof(f3591,plain,
( ~ spl2_4
| ~ spl2_35 ),
inference(avatar_contradiction_clause,[],[f3590]) ).
fof(f3590,plain,
( $false
| ~ spl2_4
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f3589]) ).
fof(f3589,plain,
( n10 != n10
| ~ spl2_4
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3588,f230]) ).
fof(f3588,plain,
( n10 != sum(n5,n5)
| ~ spl2_4
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3587,f570]) ).
fof(f3587,plain,
( sum(n5,n5) != sum(n7,n3)
| ~ spl2_4
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3586,f66]) ).
fof(f3586,plain,
( sum(n7,n3) != sum(sum(n13,n13),n5)
| ~ spl2_4
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3585,f84]) ).
fof(f84,plain,
n5 = sum(n11,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f3585,plain,
( sum(n7,n3) != sum(sum(n13,n13),sum(n11,n15))
| ~ spl2_4
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3584,f125]) ).
fof(f3584,plain,
( sum(sum(n13,n13),sum(n11,n15)) != sum(n7,sum(n11,n13))
| ~ spl2_4
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3583,f347]) ).
fof(f3583,plain,
( sum(n7,sum(pred(n12),n13)) != sum(sum(n13,n13),sum(pred(n12),n15))
| ~ spl2_4
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3582,f278]) ).
fof(f3582,plain,
( sum(sum(n13,succ(n12)),sum(pred(n12),n15)) != sum(n7,sum(pred(n12),succ(n12)))
| ~ spl2_4
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3542,f715]) ).
fof(f3568,plain,
( ~ spl2_18
| ~ spl2_35 ),
inference(avatar_contradiction_clause,[],[f3567]) ).
fof(f3567,plain,
( $false
| ~ spl2_18
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f3566]) ).
fof(f3566,plain,
( n15 != n15
| ~ spl2_18
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3565,f473]) ).
fof(f3565,plain,
( n15 != sum(n7,n8)
| ~ spl2_18
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3564,f679]) ).
fof(f3564,plain,
( sum(n7,n8) != sum(n18,n18)
| ~ spl2_18
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3563,f314]) ).
fof(f3563,plain,
( sum(n7,n8) != sum(sum(n13,n5),n18)
| ~ spl2_18
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3562,f670]) ).
fof(f3562,plain,
( sum(sum(n13,n5),n18) != sum(n7,sum(n3,n5))
| ~ spl2_18
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3561,f617]) ).
fof(f3561,plain,
( sum(n7,sum(n3,n5)) != sum(sum(n13,n5),sum(n3,n15))
| ~ spl2_18
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3560,f688]) ).
fof(f3560,plain,
( sum(n7,sum(pred(n4),n5)) != sum(sum(n13,n5),sum(pred(n4),n15))
| ~ spl2_18
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3559,f567]) ).
fof(f3559,plain,
( sum(sum(n13,succ(n4)),sum(pred(n4),n15)) != sum(n7,sum(pred(n4),succ(n4)))
| ~ spl2_18
| ~ spl2_35 ),
inference(backward_demodulation,[],[f3542,f771]) ).
fof(f3520,plain,
( ~ spl2_14
| ~ spl2_35 ),
inference(avatar_contradiction_clause,[],[f3519]) ).
fof(f3519,plain,
( $false
| ~ spl2_14
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f3518]) ).
fof(f3518,plain,
( n19 != n19
| ~ spl2_14
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3517,f287]) ).
fof(f3517,plain,
( n19 != sum(n7,n12)
| ~ spl2_14
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3516,f119]) ).
fof(f3516,plain,
( sum(n7,n12) != sum(n20,n20)
| ~ spl2_14
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3515,f462]) ).
fof(f462,plain,
n20 = sum(n13,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f3515,plain,
( sum(n7,n12) != sum(sum(n13,n7),n20)
| ~ spl2_14
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3514,f187]) ).
fof(f3514,plain,
( sum(sum(n13,n7),n20) != sum(sum(n13,n15),n12)
| ~ spl2_14
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3513,f531]) ).
fof(f531,plain,
n20 = sum(n5,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f3513,plain,
( sum(sum(n13,n15),n12) != sum(sum(n13,n7),sum(n5,n15))
| ~ spl2_14
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3512,f454]) ).
fof(f3512,plain,
( sum(sum(pred(n14),n7),sum(n5,n15)) != sum(sum(pred(n14),n15),n12)
| ~ spl2_14
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3511,f511]) ).
fof(f3511,plain,
( sum(sum(pred(n14),n7),sum(n5,n15)) != sum(sum(pred(n14),n15),sum(n5,n7))
| ~ spl2_14
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3510,f217]) ).
fof(f3510,plain,
( sum(sum(pred(n14),succ(n14)),sum(n5,n7)) != sum(sum(pred(n14),n7),sum(n5,succ(n14)))
| ~ spl2_14
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3509,f530]) ).
fof(f3509,plain,
( sum(sum(pred(n14),n7),sum(pred(n6),succ(n14))) != sum(sum(pred(n14),succ(n14)),sum(pred(n6),n7))
| ~ spl2_14
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3508,f457]) ).
fof(f3508,plain,
( sum(sum(pred(n14),succ(n6)),sum(pred(n6),succ(n14))) != sum(sum(pred(n14),succ(n14)),sum(pred(n6),succ(n6)))
| ~ spl2_14
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3507,f840]) ).
fof(f3507,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n6),succ(n6))) != sum(sum(pred(sK0),succ(n6)),sum(pred(n6),succ(sK0)))
| ~ spl2_14 ),
inference(forward_demodulation,[],[f346,f755]) ).
fof(f3476,plain,
( ~ spl2_17
| ~ spl2_37 ),
inference(avatar_contradiction_clause,[],[f3475]) ).
fof(f3475,plain,
( $false
| ~ spl2_17
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f3474]) ).
fof(f3474,plain,
( n19 != n19
| ~ spl2_17
| ~ spl2_37 ),
inference(forward_demodulation,[],[f3473,f659]) ).
fof(f3473,plain,
( n19 != sum(n17,n2)
| ~ spl2_17
| ~ spl2_37 ),
inference(forward_demodulation,[],[f3472,f119]) ).
fof(f3472,plain,
( sum(n17,n2) != sum(n20,n20)
| ~ spl2_17
| ~ spl2_37 ),
inference(forward_demodulation,[],[f3471,f213]) ).
fof(f3471,plain,
( sum(n17,n2) != sum(sum(n18,n2),n20)
| ~ spl2_17
| ~ spl2_37 ),
inference(forward_demodulation,[],[f3470,f153]) ).
fof(f3470,plain,
( sum(sum(n18,n2),n20) != sum(sum(n18,n20),n2)
| ~ spl2_17
| ~ spl2_37 ),
inference(forward_demodulation,[],[f3469,f350]) ).
fof(f3469,plain,
( sum(sum(pred(n19),n20),n2) != sum(sum(pred(n19),n2),n20)
| ~ spl2_17
| ~ spl2_37 ),
inference(forward_demodulation,[],[f3468,f60]) ).
fof(f3468,plain,
( sum(sum(pred(n19),n20),n2) != sum(sum(pred(n19),n2),sum(n0,n20))
| ~ spl2_17
| ~ spl2_37 ),
inference(forward_demodulation,[],[f3467,f508]) ).
fof(f3467,plain,
( sum(sum(pred(n19),n2),sum(n0,succ(n19))) != sum(sum(pred(n19),succ(n19)),n2)
| ~ spl2_17
| ~ spl2_37 ),
inference(backward_demodulation,[],[f2989,f848]) ).
fof(f2989,plain,
( sum(sum(pred(sK0),succ(sK0)),n2) != sum(sum(pred(sK0),n2),sum(n0,succ(sK0)))
| ~ spl2_17 ),
inference(forward_demodulation,[],[f2988,f190]) ).
fof(f2988,plain,
( sum(sum(pred(sK0),n2),sum(n0,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n0,n2))
| ~ spl2_17 ),
inference(forward_demodulation,[],[f2987,f677]) ).
fof(f2987,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(n0,succ(n1))) != sum(sum(pred(sK0),succ(n1)),sum(n0,succ(sK0)))
| ~ spl2_17 ),
inference(forward_demodulation,[],[f2934,f598]) ).
fof(f2934,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n1),succ(n1))) != sum(sum(pred(sK0),succ(n1)),sum(pred(n1),succ(sK0)))
| ~ spl2_17 ),
inference(forward_demodulation,[],[f346,f767]) ).
fof(f767,plain,
( n1 = sK1
| ~ spl2_17 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f765,plain,
( spl2_17
<=> n1 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).
fof(f3447,plain,
( ~ spl2_17
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f3446]) ).
fof(f3446,plain,
( $false
| ~ spl2_17
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f3445]) ).
fof(f3445,plain,
( n1 != n1
| ~ spl2_17
| ~ spl2_42 ),
inference(forward_demodulation,[],[f3444,f470]) ).
fof(f3444,plain,
( n1 != sum(n11,n11)
| ~ spl2_17
| ~ spl2_42 ),
inference(forward_demodulation,[],[f3443,f24]) ).
fof(f3443,plain,
( sum(n11,n11) != sum(n20,n2)
| ~ spl2_17
| ~ spl2_42 ),
inference(forward_demodulation,[],[f3442,f16]) ).
fof(f3442,plain,
( sum(n11,n11) != sum(sum(n9,n11),n2)
| ~ spl2_17
| ~ spl2_42 ),
inference(forward_demodulation,[],[f3441,f522]) ).
fof(f3441,plain,
( sum(sum(n9,n11),n2) != sum(sum(n9,n2),n11)
| ~ spl2_17
| ~ spl2_42 ),
inference(forward_demodulation,[],[f3440,f693]) ).
fof(f3440,plain,
( sum(sum(pred(n10),n11),n2) != sum(sum(pred(n10),n2),n11)
| ~ spl2_17
| ~ spl2_42 ),
inference(forward_demodulation,[],[f3439,f261]) ).
fof(f3439,plain,
( sum(sum(pred(n10),n11),n2) != sum(sum(pred(n10),n2),sum(n0,n11))
| ~ spl2_17
| ~ spl2_42 ),
inference(forward_demodulation,[],[f3438,f114]) ).
fof(f3438,plain,
( sum(sum(pred(n10),succ(n10)),n2) != sum(sum(pred(n10),n2),sum(n0,succ(n10)))
| ~ spl2_17
| ~ spl2_42 ),
inference(forward_demodulation,[],[f2989,f868]) ).
fof(f3414,plain,
( ~ spl2_17
| ~ spl2_23 ),
inference(avatar_contradiction_clause,[],[f3413]) ).
fof(f3413,plain,
( $false
| ~ spl2_17
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f3412]) ).
fof(f3412,plain,
( n6 != n6
| ~ spl2_17
| ~ spl2_23 ),
inference(forward_demodulation,[],[f3411,f419]) ).
fof(f3411,plain,
( n6 != sum(n3,n3)
| ~ spl2_17
| ~ spl2_23 ),
inference(forward_demodulation,[],[f3410,f17]) ).
fof(f3410,plain,
( sum(n3,n3) != sum(n4,n2)
| ~ spl2_17
| ~ spl2_23 ),
inference(forward_demodulation,[],[f3409,f455]) ).
fof(f3409,plain,
( sum(n4,n2) != sum(sum(n1,n2),n3)
| ~ spl2_17
| ~ spl2_23 ),
inference(forward_demodulation,[],[f3408,f141]) ).
fof(f3408,plain,
( sum(sum(n1,n2),n3) != sum(sum(n1,n3),n2)
| ~ spl2_17
| ~ spl2_23 ),
inference(forward_demodulation,[],[f3407,f665]) ).
fof(f3407,plain,
( sum(sum(n1,n3),n2) != sum(sum(n1,n2),sum(n0,n3))
| ~ spl2_17
| ~ spl2_23 ),
inference(forward_demodulation,[],[f3406,f231]) ).
fof(f3406,plain,
( sum(sum(pred(n2),n2),sum(n0,n3)) != sum(sum(pred(n2),n3),n2)
| ~ spl2_17
| ~ spl2_23 ),
inference(forward_demodulation,[],[f3405,f184]) ).
fof(f3405,plain,
( sum(sum(pred(n2),succ(n2)),n2) != sum(sum(pred(n2),n2),sum(n0,succ(n2)))
| ~ spl2_17
| ~ spl2_23 ),
inference(forward_demodulation,[],[f2989,f792]) ).
fof(f3383,plain,
( ~ spl2_17
| ~ spl2_34 ),
inference(avatar_contradiction_clause,[],[f3382]) ).
fof(f3382,plain,
( $false
| ~ spl2_17
| ~ spl2_34 ),
inference(trivial_inequality_removal,[],[f3381]) ).
fof(f3381,plain,
( n2 != n2
| ~ spl2_17
| ~ spl2_34 ),
inference(forward_demodulation,[],[f3380,f190]) ).
fof(f3380,plain,
( n2 != sum(n0,n2)
| ~ spl2_17
| ~ spl2_34 ),
inference(forward_demodulation,[],[f3379,f433]) ).
fof(f3379,plain,
( sum(n0,n2) != sum(n1,n1)
| ~ spl2_17
| ~ spl2_34 ),
inference(forward_demodulation,[],[f3378,f510]) ).
fof(f3378,plain,
( sum(n1,n1) != sum(sum(n20,n1),n2)
| ~ spl2_17
| ~ spl2_34 ),
inference(forward_demodulation,[],[f3377,f24]) ).
fof(f3377,plain,
( sum(sum(n20,n1),n2) != sum(sum(n20,n2),n1)
| ~ spl2_17
| ~ spl2_34 ),
inference(forward_demodulation,[],[f3376,f358]) ).
fof(f3376,plain,
( sum(sum(pred(n0),n1),n2) != sum(sum(pred(n0),n2),n1)
| ~ spl2_17
| ~ spl2_34 ),
inference(forward_demodulation,[],[f3375,f398]) ).
fof(f3375,plain,
( sum(sum(pred(n0),n1),n2) != sum(sum(pred(n0),n2),sum(n0,n1))
| ~ spl2_17
| ~ spl2_34 ),
inference(forward_demodulation,[],[f3374,f192]) ).
fof(f3374,plain,
( sum(sum(pred(n0),succ(n0)),n2) != sum(sum(pred(n0),n2),sum(n0,succ(n0)))
| ~ spl2_17
| ~ spl2_34 ),
inference(backward_demodulation,[],[f2989,f836]) ).
fof(f3363,plain,
( ~ spl2_17
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f3362]) ).
fof(f3362,plain,
( $false
| ~ spl2_17
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f3361]) ).
fof(f3361,plain,
( n5 != n5
| ~ spl2_17
| ~ spl2_24 ),
inference(forward_demodulation,[],[f3360,f654]) ).
fof(f3360,plain,
( n5 != sum(n3,n2)
| ~ spl2_17
| ~ spl2_24 ),
inference(forward_demodulation,[],[f3359,f66]) ).
fof(f3359,plain,
( sum(n3,n2) != sum(n13,n13)
| ~ spl2_17
| ~ spl2_24 ),
inference(forward_demodulation,[],[f3358,f240]) ).
fof(f3358,plain,
( sum(n3,n2) != sum(sum(n11,n2),n13)
| ~ spl2_17
| ~ spl2_24 ),
inference(forward_demodulation,[],[f3357,f173]) ).
fof(f3357,plain,
( sum(n3,n2) != sum(sum(n11,n2),sum(n0,n13))
| ~ spl2_17
| ~ spl2_24 ),
inference(forward_demodulation,[],[f3356,f125]) ).
fof(f3356,plain,
( sum(sum(n11,n2),sum(n0,n13)) != sum(sum(n11,n13),n2)
| ~ spl2_17
| ~ spl2_24 ),
inference(forward_demodulation,[],[f3355,f347]) ).
fof(f3355,plain,
( sum(sum(pred(n12),n2),sum(n0,n13)) != sum(sum(pred(n12),n13),n2)
| ~ spl2_17
| ~ spl2_24 ),
inference(forward_demodulation,[],[f3354,f278]) ).
fof(f3354,plain,
( sum(sum(pred(n12),n2),sum(n0,succ(n12))) != sum(sum(pred(n12),succ(n12)),n2)
| ~ spl2_17
| ~ spl2_24 ),
inference(backward_demodulation,[],[f2989,f796]) ).
fof(f3336,plain,
( ~ spl2_17
| ~ spl2_26 ),
inference(avatar_contradiction_clause,[],[f3335]) ).
fof(f3335,plain,
( $false
| ~ spl2_17
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f3334]) ).
fof(f3334,plain,
( n0 != n0
| ~ spl2_17
| ~ spl2_26 ),
inference(forward_demodulation,[],[f3333,f296]) ).
fof(f3333,plain,
( n0 != sum(n0,n0)
| ~ spl2_17
| ~ spl2_26 ),
inference(forward_demodulation,[],[f3332,f274]) ).
fof(f3332,plain,
( sum(n19,n2) != sum(sum(n19,n2),n0)
| ~ spl2_17
| ~ spl2_26 ),
inference(forward_demodulation,[],[f3331,f323]) ).
fof(f3331,plain,
( sum(sum(n19,n2),n0) != sum(sum(n19,n0),n2)
| ~ spl2_17
| ~ spl2_26 ),
inference(forward_demodulation,[],[f3330,f296]) ).
fof(f3330,plain,
( sum(sum(n19,n0),n2) != sum(sum(n19,n2),sum(n0,n0))
| ~ spl2_17
| ~ spl2_26 ),
inference(forward_demodulation,[],[f3329,f214]) ).
fof(f3329,plain,
( sum(sum(pred(n20),n2),sum(n0,n0)) != sum(sum(pred(n20),n0),n2)
| ~ spl2_17
| ~ spl2_26 ),
inference(forward_demodulation,[],[f3328,f580]) ).
fof(f3328,plain,
( sum(sum(pred(n20),succ(n20)),n2) != sum(sum(pred(n20),n2),sum(n0,succ(n20)))
| ~ spl2_17
| ~ spl2_26 ),
inference(backward_demodulation,[],[f2989,f804]) ).
fof(f3304,plain,
( ~ spl2_17
| ~ spl2_36 ),
inference(avatar_contradiction_clause,[],[f3303]) ).
fof(f3303,plain,
( $false
| ~ spl2_17
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f3302]) ).
fof(f3302,plain,
( n20 != n20
| ~ spl2_17
| ~ spl2_36 ),
inference(forward_demodulation,[],[f3301,f324]) ).
fof(f3301,plain,
( n20 != sum(n10,n10)
| ~ spl2_17
| ~ spl2_36 ),
inference(forward_demodulation,[],[f3300,f213]) ).
fof(f3300,plain,
( sum(n10,n10) != sum(n18,n2)
| ~ spl2_17
| ~ spl2_36 ),
inference(forward_demodulation,[],[f3299,f391]) ).
fof(f3299,plain,
( sum(n10,n10) != sum(sum(n8,n10),n2)
| ~ spl2_17
| ~ spl2_36 ),
inference(forward_demodulation,[],[f3298,f393]) ).
fof(f393,plain,
n10 = sum(n8,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f3298,plain,
( sum(sum(n8,n10),n2) != sum(sum(n8,n2),n10)
| ~ spl2_17
| ~ spl2_36 ),
inference(forward_demodulation,[],[f3297,f54]) ).
fof(f3297,plain,
( sum(sum(n8,n10),n2) != sum(sum(n8,n2),sum(n0,n10))
| ~ spl2_17
| ~ spl2_36 ),
inference(forward_demodulation,[],[f3296,f333]) ).
fof(f3296,plain,
( sum(sum(pred(n9),n2),sum(n0,n10)) != sum(sum(pred(n9),n10),n2)
| ~ spl2_17
| ~ spl2_36 ),
inference(forward_demodulation,[],[f3295,f699]) ).
fof(f3295,plain,
( sum(sum(pred(n9),n2),sum(n0,succ(n9))) != sum(sum(pred(n9),succ(n9)),n2)
| ~ spl2_17
| ~ spl2_36 ),
inference(backward_demodulation,[],[f2989,f844]) ).
fof(f3262,plain,
( ~ spl2_17
| ~ spl2_39 ),
inference(avatar_contradiction_clause,[],[f3261]) ).
fof(f3261,plain,
( $false
| ~ spl2_17
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f3260]) ).
fof(f3260,plain,
( n10 != n10
| ~ spl2_17
| ~ spl2_39 ),
inference(forward_demodulation,[],[f3259,f230]) ).
fof(f3259,plain,
( n10 != sum(n5,n5)
| ~ spl2_17
| ~ spl2_39 ),
inference(forward_demodulation,[],[f3258,f393]) ).
fof(f3258,plain,
( sum(n5,n5) != sum(n8,n2)
| ~ spl2_17
| ~ spl2_39 ),
inference(forward_demodulation,[],[f3257,f670]) ).
fof(f3257,plain,
( sum(n5,n5) != sum(sum(n3,n5),n2)
| ~ spl2_17
| ~ spl2_39 ),
inference(forward_demodulation,[],[f3256,f654]) ).
fof(f3256,plain,
( sum(sum(n3,n5),n2) != sum(sum(n3,n2),n5)
| ~ spl2_17
| ~ spl2_39 ),
inference(forward_demodulation,[],[f3255,f249]) ).
fof(f3255,plain,
( sum(sum(n3,n5),n2) != sum(sum(n3,n2),sum(n0,n5))
| ~ spl2_17
| ~ spl2_39 ),
inference(forward_demodulation,[],[f3254,f688]) ).
fof(f3254,plain,
( sum(sum(pred(n4),n2),sum(n0,n5)) != sum(sum(pred(n4),n5),n2)
| ~ spl2_17
| ~ spl2_39 ),
inference(forward_demodulation,[],[f3253,f567]) ).
fof(f3253,plain,
( sum(sum(pred(n4),n2),sum(n0,succ(n4))) != sum(sum(pred(n4),succ(n4)),n2)
| ~ spl2_17
| ~ spl2_39 ),
inference(forward_demodulation,[],[f2989,f856]) ).
fof(f3232,plain,
( ~ spl2_17
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f3231]) ).
fof(f3231,plain,
( $false
| ~ spl2_17
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f3230]) ).
fof(f3230,plain,
( n8 != n8
| ~ spl2_17
| ~ spl2_29 ),
inference(forward_demodulation,[],[f3229,f157]) ).
fof(f3229,plain,
( n8 != sum(n4,n4)
| ~ spl2_17
| ~ spl2_29 ),
inference(forward_demodulation,[],[f3228,f451]) ).
fof(f3228,plain,
( sum(n4,n4) != sum(n6,n2)
| ~ spl2_17
| ~ spl2_29 ),
inference(forward_demodulation,[],[f3227,f489]) ).
fof(f3227,plain,
( sum(n6,n2) != sum(sum(n2,n2),n4)
| ~ spl2_17
| ~ spl2_29 ),
inference(forward_demodulation,[],[f3226,f533]) ).
fof(f3226,plain,
( sum(sum(n2,n2),n4) != sum(sum(n2,n4),n2)
| ~ spl2_17
| ~ spl2_29 ),
inference(forward_demodulation,[],[f3225,f439]) ).
fof(f3225,plain,
( sum(sum(n2,n4),n2) != sum(sum(n2,n2),sum(n0,n4))
| ~ spl2_17
| ~ spl2_29 ),
inference(forward_demodulation,[],[f3224,f174]) ).
fof(f3224,plain,
( sum(sum(pred(n3),n2),sum(n0,n4)) != sum(sum(pred(n3),n4),n2)
| ~ spl2_17
| ~ spl2_29 ),
inference(forward_demodulation,[],[f3220,f447]) ).
fof(f3220,plain,
( sum(sum(pred(n3),n2),sum(n0,succ(n3))) != sum(sum(pred(n3),succ(n3)),n2)
| ~ spl2_17
| ~ spl2_29 ),
inference(backward_demodulation,[],[f2989,f816]) ).
fof(f3212,plain,
( ~ spl2_17
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f3211]) ).
fof(f3211,plain,
( $false
| ~ spl2_17
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f3210]) ).
fof(f3210,plain,
( n14 != n14
| ~ spl2_17
| ~ spl2_28 ),
inference(forward_demodulation,[],[f3209,f395]) ).
fof(f3209,plain,
( n14 != sum(n7,n7)
| ~ spl2_17
| ~ spl2_28 ),
inference(forward_demodulation,[],[f3208,f388]) ).
fof(f3208,plain,
( sum(n7,n7) != sum(n12,n2)
| ~ spl2_17
| ~ spl2_28 ),
inference(forward_demodulation,[],[f3207,f536]) ).
fof(f3207,plain,
( sum(n12,n2) != sum(sum(n5,n2),n7)
| ~ spl2_17
| ~ spl2_28 ),
inference(forward_demodulation,[],[f3206,f511]) ).
fof(f3206,plain,
( sum(sum(n5,n2),n7) != sum(sum(n5,n7),n2)
| ~ spl2_17
| ~ spl2_28 ),
inference(forward_demodulation,[],[f3205,f270]) ).
fof(f3205,plain,
( sum(sum(n5,n7),n2) != sum(sum(n5,n2),sum(n0,n7))
| ~ spl2_17
| ~ spl2_28 ),
inference(forward_demodulation,[],[f3204,f530]) ).
fof(f3204,plain,
( sum(sum(pred(n6),n2),sum(n0,n7)) != sum(sum(pred(n6),n7),n2)
| ~ spl2_17
| ~ spl2_28 ),
inference(forward_demodulation,[],[f3203,f457]) ).
fof(f3203,plain,
( sum(sum(pred(n6),succ(n6)),n2) != sum(sum(pred(n6),n2),sum(n0,succ(n6)))
| ~ spl2_17
| ~ spl2_28 ),
inference(forward_demodulation,[],[f2989,f812]) ).
fof(f3187,plain,
( ~ spl2_17
| ~ spl2_27 ),
inference(avatar_contradiction_clause,[],[f3186]) ).
fof(f3186,plain,
( $false
| ~ spl2_17
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f3185]) ).
fof(f3185,plain,
( n3 != n3
| ~ spl2_17
| ~ spl2_27 ),
inference(forward_demodulation,[],[f3184,f455]) ).
fof(f3184,plain,
( n3 != sum(n1,n2)
| ~ spl2_17
| ~ spl2_27 ),
inference(forward_demodulation,[],[f3183,f546]) ).
fof(f3183,plain,
( sum(n1,n2) != sum(n12,n12)
| ~ spl2_17
| ~ spl2_27 ),
inference(forward_demodulation,[],[f3182,f162]) ).
fof(f3182,plain,
( sum(n1,n2) != sum(sum(n10,n2),n12)
| ~ spl2_17
| ~ spl2_27 ),
inference(forward_demodulation,[],[f3181,f21]) ).
fof(f3181,plain,
( sum(sum(n10,n2),n12) != sum(sum(n10,n12),n2)
| ~ spl2_17
| ~ spl2_27 ),
inference(forward_demodulation,[],[f3180,f266]) ).
fof(f3180,plain,
( sum(sum(pred(n11),n12),n2) != sum(sum(pred(n11),n2),n12)
| ~ spl2_17
| ~ spl2_27 ),
inference(forward_demodulation,[],[f3179,f506]) ).
fof(f3179,plain,
( sum(sum(pred(n11),n12),n2) != sum(sum(pred(n11),n2),sum(n0,n12))
| ~ spl2_17
| ~ spl2_27 ),
inference(forward_demodulation,[],[f3178,f641]) ).
fof(f3178,plain,
( sum(sum(pred(n11),n2),sum(n0,succ(n11))) != sum(sum(pred(n11),succ(n11)),n2)
| ~ spl2_17
| ~ spl2_27 ),
inference(forward_demodulation,[],[f2989,f808]) ).
fof(f3153,plain,
( ~ spl2_17
| ~ spl2_41 ),
inference(avatar_contradiction_clause,[],[f3152]) ).
fof(f3152,plain,
( $false
| ~ spl2_17
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f3151]) ).
fof(f3151,plain,
( n15 != n15
| ~ spl2_17
| ~ spl2_41 ),
inference(forward_demodulation,[],[f3150,f684]) ).
fof(f684,plain,
n15 = sum(n13,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f3150,plain,
( n15 != sum(n13,n2)
| ~ spl2_17
| ~ spl2_41 ),
inference(forward_demodulation,[],[f3149,f679]) ).
fof(f3149,plain,
( sum(n13,n2) != sum(n18,n18)
| ~ spl2_17
| ~ spl2_41 ),
inference(forward_demodulation,[],[f3148,f612]) ).
fof(f3148,plain,
( sum(n13,n2) != sum(sum(n16,n2),n18)
| ~ spl2_17
| ~ spl2_41 ),
inference(forward_demodulation,[],[f3147,f366]) ).
fof(f3147,plain,
( sum(n13,n2) != sum(sum(n16,n2),sum(n0,n18))
| ~ spl2_17
| ~ spl2_41 ),
inference(forward_demodulation,[],[f3146,f123]) ).
fof(f3146,plain,
( sum(sum(n16,n2),sum(n0,n18)) != sum(sum(n16,n18),n2)
| ~ spl2_17
| ~ spl2_41 ),
inference(forward_demodulation,[],[f3145,f288]) ).
fof(f3145,plain,
( sum(sum(pred(n17),n2),sum(n0,n18)) != sum(sum(pred(n17),n18),n2)
| ~ spl2_17
| ~ spl2_41 ),
inference(forward_demodulation,[],[f3144,f657]) ).
fof(f3144,plain,
( sum(sum(pred(n17),succ(n17)),n2) != sum(sum(pred(n17),n2),sum(n0,succ(n17)))
| ~ spl2_17
| ~ spl2_41 ),
inference(forward_demodulation,[],[f2989,f864]) ).
fof(f3123,plain,
( ~ spl2_17
| ~ spl2_35 ),
inference(avatar_contradiction_clause,[],[f3122]) ).
fof(f3122,plain,
( $false
| ~ spl2_17
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f3121]) ).
fof(f3121,plain,
( n9 != n9
| ~ spl2_17
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3120,f228]) ).
fof(f3120,plain,
( n9 != sum(n7,n2)
| ~ spl2_17
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3119,f318]) ).
fof(f3119,plain,
( sum(n7,n2) != sum(n15,n15)
| ~ spl2_17
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3118,f187]) ).
fof(f3118,plain,
( sum(n15,n15) != sum(sum(n13,n15),n2)
| ~ spl2_17
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3117,f684]) ).
fof(f3117,plain,
( sum(sum(n13,n15),n2) != sum(sum(n13,n2),n15)
| ~ spl2_17
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3116,f454]) ).
fof(f3116,plain,
( sum(sum(pred(n14),n15),n2) != sum(sum(pred(n14),n2),n15)
| ~ spl2_17
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3115,f23]) ).
fof(f3115,plain,
( sum(sum(pred(n14),n15),n2) != sum(sum(pred(n14),n2),sum(n0,n15))
| ~ spl2_17
| ~ spl2_35 ),
inference(forward_demodulation,[],[f3114,f217]) ).
fof(f3114,plain,
( sum(sum(pred(n14),succ(n14)),n2) != sum(sum(pred(n14),n2),sum(n0,succ(n14)))
| ~ spl2_17
| ~ spl2_35 ),
inference(backward_demodulation,[],[f2989,f840]) ).
fof(f3093,plain,
( ~ spl2_17
| ~ spl2_40 ),
inference(avatar_contradiction_clause,[],[f3092]) ).
fof(f3092,plain,
( $false
| ~ spl2_17
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f3091]) ).
fof(f3091,plain,
( n17 != n17
| ~ spl2_17
| ~ spl2_40 ),
inference(forward_demodulation,[],[f3090,f212]) ).
fof(f3090,plain,
( n17 != sum(n15,n2)
| ~ spl2_17
| ~ spl2_40 ),
inference(forward_demodulation,[],[f3089,f210]) ).
fof(f3089,plain,
( sum(n15,n2) != sum(n19,n19)
| ~ spl2_17
| ~ spl2_40 ),
inference(forward_demodulation,[],[f3088,f659]) ).
fof(f3088,plain,
( sum(n15,n2) != sum(sum(n17,n2),n19)
| ~ spl2_17
| ~ spl2_40 ),
inference(forward_demodulation,[],[f3087,f547]) ).
fof(f3087,plain,
( sum(n15,n2) != sum(sum(n17,n2),sum(n0,n19))
| ~ spl2_17
| ~ spl2_40 ),
inference(forward_demodulation,[],[f3086,f402]) ).
fof(f3086,plain,
( sum(sum(n17,n2),sum(n0,n19)) != sum(sum(n17,n19),n2)
| ~ spl2_17
| ~ spl2_40 ),
inference(forward_demodulation,[],[f3085,f651]) ).
fof(f3085,plain,
( sum(sum(pred(n18),n2),sum(n0,n19)) != sum(sum(pred(n18),n19),n2)
| ~ spl2_17
| ~ spl2_40 ),
inference(forward_demodulation,[],[f3084,f40]) ).
fof(f3084,plain,
( sum(sum(pred(n18),n2),sum(n0,succ(n18))) != sum(sum(pred(n18),succ(n18)),n2)
| ~ spl2_17
| ~ spl2_40 ),
inference(backward_demodulation,[],[f2989,f860]) ).
fof(f3067,plain,
( ~ spl2_17
| ~ spl2_38 ),
inference(avatar_contradiction_clause,[],[f3066]) ).
fof(f3066,plain,
( $false
| ~ spl2_17
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f3065]) ).
fof(f3065,plain,
( sum(n2,n2) != sum(n2,n2)
| ~ spl2_17
| ~ spl2_38 ),
inference(forward_demodulation,[],[f3064,f190]) ).
fof(f3064,plain,
( sum(sum(n0,n2),n2) != sum(sum(n0,n2),sum(n0,n2))
| ~ spl2_17
| ~ spl2_38 ),
inference(forward_demodulation,[],[f3063,f598]) ).
fof(f3063,plain,
( sum(sum(pred(n1),n2),sum(n0,n2)) != sum(sum(pred(n1),n2),n2)
| ~ spl2_17
| ~ spl2_38 ),
inference(forward_demodulation,[],[f3062,f677]) ).
fof(f3062,plain,
( sum(sum(pred(n1),n2),sum(n0,succ(n1))) != sum(sum(pred(n1),succ(n1)),n2)
| ~ spl2_17
| ~ spl2_38 ),
inference(backward_demodulation,[],[f2989,f852]) ).
fof(f3045,plain,
( ~ spl2_17
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f3044]) ).
fof(f3044,plain,
( $false
| ~ spl2_17
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f3043]) ).
fof(f3043,plain,
( n18 != n18
| ~ spl2_17
| ~ spl2_22 ),
inference(forward_demodulation,[],[f3042,f357]) ).
fof(f3042,plain,
( n18 != sum(n9,n9)
| ~ spl2_17
| ~ spl2_22 ),
inference(forward_demodulation,[],[f3041,f612]) ).
fof(f3041,plain,
( sum(n9,n9) != sum(n16,n2)
| ~ spl2_17
| ~ spl2_22 ),
inference(forward_demodulation,[],[f3040,f648]) ).
fof(f3040,plain,
( sum(n9,n9) != sum(sum(n7,n9),n2)
| ~ spl2_17
| ~ spl2_22 ),
inference(forward_demodulation,[],[f3039,f228]) ).
fof(f3039,plain,
( sum(sum(n7,n9),n2) != sum(sum(n7,n2),n9)
| ~ spl2_17
| ~ spl2_22 ),
inference(forward_demodulation,[],[f3038,f14]) ).
fof(f3038,plain,
( sum(sum(n7,n9),n2) != sum(sum(n7,n2),sum(n0,n9))
| ~ spl2_17
| ~ spl2_22 ),
inference(forward_demodulation,[],[f3037,f607]) ).
fof(f3037,plain,
( sum(sum(pred(n8),n2),sum(n0,n9)) != sum(sum(pred(n8),n9),n2)
| ~ spl2_17
| ~ spl2_22 ),
inference(forward_demodulation,[],[f3036,f474]) ).
fof(f3036,plain,
( sum(sum(pred(n8),n2),sum(n0,succ(n8))) != sum(sum(pred(n8),succ(n8)),n2)
| ~ spl2_17
| ~ spl2_22 ),
inference(backward_demodulation,[],[f2989,f788]) ).
fof(f3014,plain,
( ~ spl2_17
| ~ spl2_32 ),
inference(avatar_contradiction_clause,[],[f3013]) ).
fof(f3013,plain,
( $false
| ~ spl2_17
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f3012]) ).
fof(f3012,plain,
( n12 != n12
| ~ spl2_17
| ~ spl2_32 ),
inference(forward_demodulation,[],[f3011,f316]) ).
fof(f3011,plain,
( n12 != sum(n6,n6)
| ~ spl2_17
| ~ spl2_32 ),
inference(forward_demodulation,[],[f3010,f162]) ).
fof(f3010,plain,
( sum(n6,n6) != sum(n10,n2)
| ~ spl2_17
| ~ spl2_32 ),
inference(forward_demodulation,[],[f3009,f17]) ).
fof(f3009,plain,
( sum(n10,n2) != sum(sum(n4,n2),n6)
| ~ spl2_17
| ~ spl2_32 ),
inference(forward_demodulation,[],[f3008,f271]) ).
fof(f3008,plain,
( sum(n10,n2) != sum(sum(n4,n2),sum(n0,n6))
| ~ spl2_17
| ~ spl2_32 ),
inference(forward_demodulation,[],[f3007,f464]) ).
fof(f3007,plain,
( sum(sum(n4,n2),sum(n0,n6)) != sum(sum(n4,n6),n2)
| ~ spl2_17
| ~ spl2_32 ),
inference(forward_demodulation,[],[f3006,f126]) ).
fof(f3006,plain,
( sum(sum(pred(n5),n2),sum(n0,n6)) != sum(sum(pred(n5),n6),n2)
| ~ spl2_17
| ~ spl2_32 ),
inference(forward_demodulation,[],[f3005,f692]) ).
fof(f3005,plain,
( sum(sum(pred(n5),succ(n5)),n2) != sum(sum(pred(n5),n2),sum(n0,succ(n5)))
| ~ spl2_17
| ~ spl2_32 ),
inference(backward_demodulation,[],[f2989,f828]) ).
fof(f2985,plain,
( ~ spl2_17
| ~ spl2_25 ),
inference(avatar_contradiction_clause,[],[f2984]) ).
fof(f2984,plain,
( $false
| ~ spl2_17
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f2983]) ).
fof(f2983,plain,
( n11 != n11
| ~ spl2_17
| ~ spl2_25 ),
inference(forward_demodulation,[],[f2982,f522]) ).
fof(f2982,plain,
( n11 != sum(n9,n2)
| ~ spl2_17
| ~ spl2_25 ),
inference(forward_demodulation,[],[f2981,f193]) ).
fof(f2981,plain,
( sum(n9,n2) != sum(n16,n16)
| ~ spl2_17
| ~ spl2_25 ),
inference(forward_demodulation,[],[f2980,f560]) ).
fof(f2980,plain,
( sum(n9,n2) != sum(sum(n14,n2),n16)
| ~ spl2_17
| ~ spl2_25 ),
inference(forward_demodulation,[],[f2979,f471]) ).
fof(f2979,plain,
( sum(n9,n2) != sum(sum(n14,n2),sum(n0,n16))
| ~ spl2_17
| ~ spl2_25 ),
inference(forward_demodulation,[],[f2978,f486]) ).
fof(f2978,plain,
( sum(sum(n14,n2),sum(n0,n16)) != sum(sum(n14,n16),n2)
| ~ spl2_17
| ~ spl2_25 ),
inference(forward_demodulation,[],[f2977,f562]) ).
fof(f2977,plain,
( sum(sum(pred(n15),n2),sum(n0,n16)) != sum(sum(pred(n15),n16),n2)
| ~ spl2_17
| ~ spl2_25 ),
inference(forward_demodulation,[],[f2976,f37]) ).
fof(f2976,plain,
( sum(sum(pred(n15),n2),sum(n0,succ(n15))) != sum(sum(pred(n15),succ(n15)),n2)
| ~ spl2_17
| ~ spl2_25 ),
inference(forward_demodulation,[],[f2975,f190]) ).
fof(f2975,plain,
( sum(sum(pred(n15),n2),sum(n0,succ(n15))) != sum(sum(pred(n15),succ(n15)),sum(n0,n2))
| ~ spl2_17
| ~ spl2_25 ),
inference(forward_demodulation,[],[f2974,f598]) ).
fof(f2974,plain,
( sum(sum(pred(n15),n2),sum(pred(n1),succ(n15))) != sum(sum(pred(n15),succ(n15)),sum(pred(n1),n2))
| ~ spl2_17
| ~ spl2_25 ),
inference(forward_demodulation,[],[f2973,f677]) ).
fof(f2973,plain,
( sum(sum(pred(n15),succ(n1)),sum(pred(n1),succ(n15))) != sum(sum(pred(n15),succ(n15)),sum(pred(n1),succ(n1)))
| ~ spl2_17
| ~ spl2_25 ),
inference(forward_demodulation,[],[f2934,f800]) ).
fof(f2947,plain,
( ~ spl2_17
| ~ spl2_30 ),
inference(avatar_contradiction_clause,[],[f2946]) ).
fof(f2946,plain,
( $false
| ~ spl2_17
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f2945]) ).
fof(f2945,plain,
( n16 != n16
| ~ spl2_17
| ~ spl2_30 ),
inference(forward_demodulation,[],[f2944,f177]) ).
fof(f2944,plain,
( n16 != sum(n8,n8)
| ~ spl2_17
| ~ spl2_30 ),
inference(forward_demodulation,[],[f2943,f560]) ).
fof(f2943,plain,
( sum(n8,n8) != sum(n14,n2)
| ~ spl2_17
| ~ spl2_30 ),
inference(forward_demodulation,[],[f2942,f451]) ).
fof(f2942,plain,
( sum(n14,n2) != sum(sum(n6,n2),n8)
| ~ spl2_17
| ~ spl2_30 ),
inference(forward_demodulation,[],[f2941,f509]) ).
fof(f2941,plain,
( sum(n14,n2) != sum(sum(n6,n2),sum(n0,n8))
| ~ spl2_17
| ~ spl2_30 ),
inference(forward_demodulation,[],[f2940,f496]) ).
fof(f2940,plain,
( sum(sum(n6,n2),sum(n0,n8)) != sum(sum(n6,n8),n2)
| ~ spl2_17
| ~ spl2_30 ),
inference(forward_demodulation,[],[f2939,f519]) ).
fof(f2939,plain,
( sum(sum(pred(n7),n2),sum(n0,n8)) != sum(sum(pred(n7),n8),n2)
| ~ spl2_17
| ~ spl2_30 ),
inference(forward_demodulation,[],[f2938,f190]) ).
fof(f2938,plain,
( sum(sum(pred(n7),n2),sum(n0,n8)) != sum(sum(pred(n7),n8),sum(n0,n2))
| ~ spl2_17
| ~ spl2_30 ),
inference(forward_demodulation,[],[f2937,f677]) ).
fof(f2937,plain,
( sum(sum(pred(n7),succ(n1)),sum(n0,n8)) != sum(sum(pred(n7),n8),sum(n0,succ(n1)))
| ~ spl2_17
| ~ spl2_30 ),
inference(forward_demodulation,[],[f2936,f598]) ).
fof(f2936,plain,
( sum(sum(pred(n7),n8),sum(pred(n1),succ(n1))) != sum(sum(pred(n7),succ(n1)),sum(pred(n1),n8))
| ~ spl2_17
| ~ spl2_30 ),
inference(forward_demodulation,[],[f2935,f302]) ).
fof(f2935,plain,
( sum(sum(pred(n7),succ(n7)),sum(pred(n1),succ(n1))) != sum(sum(pred(n7),succ(n1)),sum(pred(n1),succ(n7)))
| ~ spl2_17
| ~ spl2_30 ),
inference(forward_demodulation,[],[f2934,f820]) ).
fof(f2889,plain,
( ~ spl2_13
| ~ spl2_33 ),
inference(avatar_contradiction_clause,[],[f2888]) ).
fof(f2888,plain,
( $false
| ~ spl2_13
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f2887]) ).
fof(f2887,plain,
( n15 != n15
| ~ spl2_13
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2886,f145]) ).
fof(f2886,plain,
( n15 != sum(n5,n10)
| ~ spl2_13
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2885,f679]) ).
fof(f2885,plain,
( sum(n5,n10) != sum(n18,n18)
| ~ spl2_13
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2884,f602]) ).
fof(f2884,plain,
( sum(n5,n10) != sum(sum(n12,n6),n18)
| ~ spl2_13
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2883,f310]) ).
fof(f2883,plain,
( sum(n5,n10) != sum(sum(n12,n6),sum(n4,n14))
| ~ spl2_13
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2882,f464]) ).
fof(f2882,plain,
( sum(sum(n12,n6),sum(n4,n14)) != sum(n5,sum(n4,n6))
| ~ spl2_13
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2881,f126]) ).
fof(f2881,plain,
( sum(n5,sum(pred(n5),n6)) != sum(sum(n12,n6),sum(pred(n5),n14))
| ~ spl2_13
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2880,f692]) ).
fof(f2880,plain,
( sum(sum(n12,succ(n5)),sum(pred(n5),n14)) != sum(n5,sum(pred(n5),succ(n5)))
| ~ spl2_13
| ~ spl2_33 ),
inference(backward_demodulation,[],[f2380,f751]) ).
fof(f2380,plain,
( sum(n5,sum(pred(sK1),succ(sK1))) != sum(sum(n12,succ(sK1)),sum(pred(sK1),n14))
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2379,f610]) ).
fof(f2379,plain,
( sum(sum(n12,n14),sum(pred(sK1),succ(sK1))) != sum(sum(n12,succ(sK1)),sum(pred(sK1),n14))
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2378,f225]) ).
fof(f2378,plain,
( sum(sum(pred(n13),succ(sK1)),sum(pred(sK1),n14)) != sum(sum(pred(n13),n14),sum(pred(sK1),succ(sK1)))
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2377,f502]) ).
fof(f2377,plain,
( sum(sum(pred(n13),succ(sK1)),sum(pred(sK1),succ(n13))) != sum(sum(pred(n13),succ(n13)),sum(pred(sK1),succ(sK1)))
| ~ spl2_33 ),
inference(forward_demodulation,[],[f346,f832]) ).
fof(f832,plain,
( n13 = sK0
| ~ spl2_33 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f830,plain,
( spl2_33
<=> n13 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_33])]) ).
fof(f2854,plain,
( ~ spl2_5
| ~ spl2_33 ),
inference(avatar_contradiction_clause,[],[f2853]) ).
fof(f2853,plain,
( $false
| ~ spl2_5
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f2852]) ).
fof(f2852,plain,
( n19 != n19
| ~ spl2_5
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2851,f400]) ).
fof(f2851,plain,
( n19 != sum(n5,n14)
| ~ spl2_5
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2850,f119]) ).
fof(f2850,plain,
( sum(n5,n14) != sum(n20,n20)
| ~ spl2_5
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2849,f257]) ).
fof(f2849,plain,
( sum(n5,n14) != sum(sum(n12,n8),n20)
| ~ spl2_5
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2848,f578]) ).
fof(f2848,plain,
( sum(n5,n14) != sum(sum(n12,n8),sum(n6,n14))
| ~ spl2_5
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2847,f496]) ).
fof(f2847,plain,
( sum(sum(n12,n8),sum(n6,n14)) != sum(n5,sum(n6,n8))
| ~ spl2_5
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2846,f302]) ).
fof(f2846,plain,
( sum(sum(n12,succ(n7)),sum(n6,n14)) != sum(n5,sum(n6,succ(n7)))
| ~ spl2_5
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2844,f519]) ).
fof(f2844,plain,
( sum(n5,sum(pred(n7),succ(n7))) != sum(sum(n12,succ(n7)),sum(pred(n7),n14))
| ~ spl2_5
| ~ spl2_33 ),
inference(backward_demodulation,[],[f2380,f719]) ).
fof(f2839,plain,
( ~ spl2_6
| ~ spl2_33 ),
inference(avatar_contradiction_clause,[],[f2838]) ).
fof(f2838,plain,
( $false
| ~ spl2_6
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f2837]) ).
fof(f2837,plain,
( n6 != n6
| ~ spl2_6
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2836,f419]) ).
fof(f2836,plain,
( n6 != sum(n3,n3)
| ~ spl2_6
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2835,f166]) ).
fof(f2835,plain,
( sum(n3,n3) != sum(n5,n1)
| ~ spl2_6
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2834,f21]) ).
fof(f2834,plain,
( sum(n3,n3) != sum(n5,sum(n10,n12))
| ~ spl2_6
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2833,f546]) ).
fof(f2833,plain,
( sum(n5,sum(n10,n12)) != sum(sum(n12,n12),n3)
| ~ spl2_6
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2832,f342]) ).
fof(f2832,plain,
( sum(n5,sum(n10,n12)) != sum(sum(n12,n12),sum(n10,n14))
| ~ spl2_6
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2831,f266]) ).
fof(f2831,plain,
( sum(sum(n12,n12),sum(pred(n11),n14)) != sum(n5,sum(pred(n11),n12))
| ~ spl2_6
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2830,f641]) ).
fof(f2830,plain,
( sum(sum(n12,succ(n11)),sum(pred(n11),n14)) != sum(n5,sum(pred(n11),succ(n11)))
| ~ spl2_6
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2380,f723]) ).
fof(f2807,plain,
( ~ spl2_7
| ~ spl2_33 ),
inference(avatar_contradiction_clause,[],[f2806]) ).
fof(f2806,plain,
( $false
| ~ spl2_7
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f2805]) ).
fof(f2805,plain,
( n5 != n5
| ~ spl2_7
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2804,f555]) ).
fof(f2804,plain,
( n5 != sum(n5,n0)
| ~ spl2_7
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2803,f66]) ).
fof(f2803,plain,
( sum(n5,n0) != sum(n13,n13)
| ~ spl2_7
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2802,f179]) ).
fof(f2802,plain,
( sum(n5,n0) != sum(sum(n12,n1),n13)
| ~ spl2_7
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2801,f627]) ).
fof(f2801,plain,
( sum(n5,n0) != sum(sum(n12,n1),sum(n20,n14))
| ~ spl2_7
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2800,f510]) ).
fof(f2800,plain,
( sum(sum(n12,n1),sum(n20,n14)) != sum(n5,sum(n20,n1))
| ~ spl2_7
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2799,f192]) ).
fof(f2799,plain,
( sum(sum(n12,succ(n0)),sum(n20,n14)) != sum(n5,sum(n20,succ(n0)))
| ~ spl2_7
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2798,f358]) ).
fof(f2798,plain,
( sum(n5,sum(pred(n0),succ(n0))) != sum(sum(n12,succ(n0)),sum(pred(n0),n14))
| ~ spl2_7
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2380,f727]) ).
fof(f2770,plain,
( ~ spl2_19
| ~ spl2_33 ),
inference(avatar_contradiction_clause,[],[f2769]) ).
fof(f2769,plain,
( $false
| ~ spl2_19
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f2768]) ).
fof(f2768,plain,
( n9 != n9
| ~ spl2_19
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2767,f412]) ).
fof(f2767,plain,
( n9 != sum(n5,n4)
| ~ spl2_19
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2766,f318]) ).
fof(f2766,plain,
( sum(n5,n4) != sum(n15,n15)
| ~ spl2_19
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2765,f141]) ).
fof(f2765,plain,
( sum(n15,n15) != sum(n5,sum(n1,n3))
| ~ spl2_19
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2764,f409]) ).
fof(f2764,plain,
( sum(n5,sum(n1,n3)) != sum(sum(n12,n3),n15)
| ~ spl2_19
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2763,f695]) ).
fof(f2763,plain,
( sum(n5,sum(n1,n3)) != sum(sum(n12,n3),sum(n1,n14))
| ~ spl2_19
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2762,f231]) ).
fof(f2762,plain,
( sum(n5,sum(pred(n2),n3)) != sum(sum(n12,n3),sum(pred(n2),n14))
| ~ spl2_19
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2761,f184]) ).
fof(f2761,plain,
( sum(sum(n12,succ(n2)),sum(pred(n2),n14)) != sum(n5,sum(pred(n2),succ(n2)))
| ~ spl2_19
| ~ spl2_33 ),
inference(backward_demodulation,[],[f2380,f775]) ).
fof(f2744,plain,
( ~ spl2_12
| ~ spl2_33 ),
inference(avatar_contradiction_clause,[],[f2743]) ).
fof(f2743,plain,
( $false
| ~ spl2_12
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f2742]) ).
fof(f2742,plain,
( n1 != n1
| ~ spl2_12
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2741,f544]) ).
fof(f2741,plain,
( n1 != sum(n5,n17)
| ~ spl2_12
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2740,f470]) ).
fof(f2740,plain,
( sum(n5,n17) != sum(n11,n11)
| ~ spl2_12
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2739,f29]) ).
fof(f2739,plain,
( sum(n5,n17) != sum(sum(n12,n20),n11)
| ~ spl2_12
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2738,f303]) ).
fof(f2738,plain,
( sum(n5,n17) != sum(sum(n12,n20),sum(n18,n14))
| ~ spl2_12
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2737,f153]) ).
fof(f2737,plain,
( sum(sum(n12,n20),sum(n18,n14)) != sum(n5,sum(n18,n20))
| ~ spl2_12
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2736,f350]) ).
fof(f2736,plain,
( sum(n5,sum(pred(n19),n20)) != sum(sum(n12,n20),sum(pred(n19),n14))
| ~ spl2_12
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2735,f508]) ).
fof(f2735,plain,
( sum(sum(n12,succ(n19)),sum(pred(n19),n14)) != sum(n5,sum(pred(n19),succ(n19)))
| ~ spl2_12
| ~ spl2_33 ),
inference(backward_demodulation,[],[f2380,f747]) ).
fof(f2714,plain,
( ~ spl2_10
| ~ spl2_33 ),
inference(avatar_contradiction_clause,[],[f2713]) ).
fof(f2713,plain,
( $false
| ~ spl2_10
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f2712]) ).
fof(f2712,plain,
( n4 != n4
| ~ spl2_10
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2711,f489]) ).
fof(f2711,plain,
( n4 != sum(n2,n2)
| ~ spl2_10
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2710,f258]) ).
fof(f2710,plain,
( sum(n2,n2) != sum(n5,n20)
| ~ spl2_10
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2709,f129]) ).
fof(f2709,plain,
( sum(n5,n20) != sum(sum(n12,n11),n2)
| ~ spl2_10
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2708,f16]) ).
fof(f2708,plain,
( sum(sum(n12,n11),n2) != sum(n5,sum(n9,n11))
| ~ spl2_10
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2707,f95]) ).
fof(f2707,plain,
( sum(n5,sum(n9,n11)) != sum(sum(n12,n11),sum(n9,n14))
| ~ spl2_10
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2706,f114]) ).
fof(f2706,plain,
( sum(sum(n12,succ(n10)),sum(n9,n14)) != sum(n5,sum(n9,succ(n10)))
| ~ spl2_10
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2705,f693]) ).
fof(f2705,plain,
( sum(n5,sum(pred(n10),succ(n10))) != sum(sum(n12,succ(n10)),sum(pred(n10),n14))
| ~ spl2_10
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2380,f739]) ).
fof(f2691,plain,
( ~ spl2_9
| ~ spl2_33 ),
inference(avatar_contradiction_clause,[],[f2690]) ).
fof(f2690,plain,
( $false
| ~ spl2_9
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f2689]) ).
fof(f2689,plain,
( n0 != n0
| ~ spl2_9
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2688,f296]) ).
fof(f2688,plain,
( n0 != sum(n0,n0)
| ~ spl2_9
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2687,f59]) ).
fof(f2687,plain,
( sum(n0,n0) != sum(n5,n16)
| ~ spl2_9
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2686,f648]) ).
fof(f2686,plain,
( sum(n0,n0) != sum(n5,sum(n7,n9))
| ~ spl2_9
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2685,f334]) ).
fof(f2685,plain,
( sum(n5,sum(n7,n9)) != sum(sum(n12,n9),n0)
| ~ spl2_9
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2684,f474]) ).
fof(f2684,plain,
( sum(n5,sum(n7,succ(n8))) != sum(sum(n12,succ(n8)),n0)
| ~ spl2_9
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2683,f345]) ).
fof(f2683,plain,
( sum(n5,sum(n7,succ(n8))) != sum(sum(n12,succ(n8)),sum(n7,n14))
| ~ spl2_9
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2682,f607]) ).
fof(f2682,plain,
( sum(n5,sum(pred(n8),succ(n8))) != sum(sum(n12,succ(n8)),sum(pred(n8),n14))
| ~ spl2_9
| ~ spl2_33 ),
inference(backward_demodulation,[],[f2380,f735]) ).
fof(f2660,plain,
( ~ spl2_21
| ~ spl2_33 ),
inference(avatar_contradiction_clause,[],[f2659]) ).
fof(f2659,plain,
( $false
| ~ spl2_21
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f2658]) ).
fof(f2658,plain,
( n14 != n14
| ~ spl2_21
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2657,f557]) ).
fof(f2657,plain,
( n14 != sum(n5,n9)
| ~ spl2_21
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2656,f395]) ).
fof(f2656,plain,
( sum(n5,n9) != sum(n7,n7)
| ~ spl2_21
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2655,f90]) ).
fof(f2655,plain,
( sum(n5,n9) != sum(sum(n12,n16),n7)
| ~ spl2_21
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2654,f243]) ).
fof(f2654,plain,
( sum(n5,n9) != sum(sum(n12,n16),sum(n14,n14))
| ~ spl2_21
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2653,f486]) ).
fof(f2653,plain,
( sum(sum(n12,n16),sum(n14,n14)) != sum(n5,sum(n14,n16))
| ~ spl2_21
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2652,f37]) ).
fof(f2652,plain,
( sum(sum(n12,succ(n15)),sum(n14,n14)) != sum(n5,sum(n14,succ(n15)))
| ~ spl2_21
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2651,f562]) ).
fof(f2651,plain,
( sum(n5,sum(pred(n15),succ(n15))) != sum(sum(n12,succ(n15)),sum(pred(n15),n14))
| ~ spl2_21
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2380,f783]) ).
fof(f2629,plain,
( ~ spl2_14
| ~ spl2_33 ),
inference(avatar_contradiction_clause,[],[f2628]) ).
fof(f2628,plain,
( $false
| ~ spl2_14
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f2627]) ).
fof(f2627,plain,
( n17 != n17
| ~ spl2_14
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2626,f79]) ).
fof(f2626,plain,
( n17 != sum(n5,n12)
| ~ spl2_14
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2625,f210]) ).
fof(f2625,plain,
( sum(n5,n12) != sum(n19,n19)
| ~ spl2_14
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2624,f511]) ).
fof(f2624,plain,
( sum(n19,n19) != sum(n5,sum(n5,n7))
| ~ spl2_14
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2623,f275]) ).
fof(f2623,plain,
( sum(n5,sum(n5,n7)) != sum(sum(n12,n7),n19)
| ~ spl2_14
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2622,f457]) ).
fof(f2622,plain,
( sum(n5,sum(n5,succ(n6))) != sum(sum(n12,succ(n6)),n19)
| ~ spl2_14
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2621,f400]) ).
fof(f2621,plain,
( sum(n5,sum(n5,succ(n6))) != sum(sum(n12,succ(n6)),sum(n5,n14))
| ~ spl2_14
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2620,f530]) ).
fof(f2620,plain,
( sum(n5,sum(pred(n6),succ(n6))) != sum(sum(n12,succ(n6)),sum(pred(n6),n14))
| ~ spl2_14
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2380,f755]) ).
fof(f2603,plain,
( ~ spl2_1
| ~ spl2_33 ),
inference(avatar_contradiction_clause,[],[f2602]) ).
fof(f2602,plain,
( $false
| ~ spl2_1
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f2601]) ).
fof(f2601,plain,
( n11 != n11
| ~ spl2_1
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2600,f172]) ).
fof(f2600,plain,
( n11 != sum(n5,n6)
| ~ spl2_1
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2599,f193]) ).
fof(f2599,plain,
( sum(n5,n6) != sum(n16,n16)
| ~ spl2_1
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2598,f533]) ).
fof(f2598,plain,
( sum(n16,n16) != sum(n5,sum(n2,n4))
| ~ spl2_1
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2597,f538]) ).
fof(f2597,plain,
( sum(n5,sum(n2,n4)) != sum(sum(n12,n4),n16)
| ~ spl2_1
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2596,f569]) ).
fof(f2596,plain,
( sum(n5,sum(n2,n4)) != sum(sum(n12,n4),sum(n2,n14))
| ~ spl2_1
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2595,f447]) ).
fof(f2595,plain,
( sum(sum(n12,succ(n3)),sum(n2,n14)) != sum(n5,sum(n2,succ(n3)))
| ~ spl2_1
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2594,f174]) ).
fof(f2594,plain,
( sum(n5,sum(pred(n3),succ(n3))) != sum(sum(n12,succ(n3)),sum(pred(n3),n14))
| ~ spl2_1
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2380,f703]) ).
fof(f2574,plain,
( ~ spl2_3
| ~ spl2_33 ),
inference(avatar_contradiction_clause,[],[f2573]) ).
fof(f2573,plain,
( $false
| ~ spl2_3
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f2572]) ).
fof(f2572,plain,
( sum(n5,n5) != sum(n5,n5)
| ~ spl2_3
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2571,f610]) ).
fof(f2571,plain,
( sum(sum(n12,n14),sum(n12,n14)) != sum(n5,sum(n12,n14))
| ~ spl2_3
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2570,f225]) ).
fof(f2570,plain,
( sum(n5,sum(pred(n13),n14)) != sum(sum(n12,n14),sum(pred(n13),n14))
| ~ spl2_3
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2569,f502]) ).
fof(f2569,plain,
( sum(sum(n12,succ(n13)),sum(pred(n13),n14)) != sum(n5,sum(pred(n13),succ(n13)))
| ~ spl2_3
| ~ spl2_33 ),
inference(backward_demodulation,[],[f2380,f711]) ).
fof(f2538,plain,
( ~ spl2_4
| ~ spl2_33 ),
inference(avatar_contradiction_clause,[],[f2537]) ).
fof(f2537,plain,
( $false
| ~ spl2_4
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f2536]) ).
fof(f2536,plain,
( n8 != n8
| ~ spl2_4
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2535,f157]) ).
fof(f2535,plain,
( n8 != sum(n4,n4)
| ~ spl2_4
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2534,f183]) ).
fof(f2534,plain,
( sum(n4,n4) != sum(n5,n3)
| ~ spl2_4
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2533,f371]) ).
fof(f2533,plain,
( sum(n5,n3) != sum(sum(n12,n13),n4)
| ~ spl2_4
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2532,f460]) ).
fof(f2532,plain,
( sum(n5,n3) != sum(sum(n12,n13),sum(n11,n14))
| ~ spl2_4
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2531,f125]) ).
fof(f2531,plain,
( sum(sum(n12,n13),sum(n11,n14)) != sum(n5,sum(n11,n13))
| ~ spl2_4
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2530,f347]) ).
fof(f2530,plain,
( sum(n5,sum(pred(n12),n13)) != sum(sum(n12,n13),sum(pred(n12),n14))
| ~ spl2_4
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2528,f278]) ).
fof(f2528,plain,
( sum(sum(n12,succ(n12)),sum(pred(n12),n14)) != sum(n5,sum(pred(n12),succ(n12)))
| ~ spl2_4
| ~ spl2_33 ),
inference(backward_demodulation,[],[f2380,f715]) ).
fof(f2520,plain,
( ~ spl2_17
| ~ spl2_33 ),
inference(avatar_contradiction_clause,[],[f2519]) ).
fof(f2519,plain,
( $false
| ~ spl2_17
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f2518]) ).
fof(f2518,plain,
( n7 != n7
| ~ spl2_17
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2517,f536]) ).
fof(f2517,plain,
( n7 != sum(n5,n2)
| ~ spl2_17
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2516,f243]) ).
fof(f2516,plain,
( sum(n5,n2) != sum(n14,n14)
| ~ spl2_17
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2515,f388]) ).
fof(f2515,plain,
( sum(n5,n2) != sum(sum(n12,n2),n14)
| ~ spl2_17
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2514,f190]) ).
fof(f2514,plain,
( sum(sum(n12,n2),n14) != sum(n5,sum(n0,n2))
| ~ spl2_17
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2513,f677]) ).
fof(f2513,plain,
( sum(n5,sum(n0,succ(n1))) != sum(sum(n12,succ(n1)),n14)
| ~ spl2_17
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2512,f351]) ).
fof(f2512,plain,
( sum(n5,sum(n0,succ(n1))) != sum(sum(n12,succ(n1)),sum(n0,n14))
| ~ spl2_17
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2511,f598]) ).
fof(f2511,plain,
( sum(n5,sum(pred(n1),succ(n1))) != sum(sum(n12,succ(n1)),sum(pred(n1),n14))
| ~ spl2_17
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2380,f767]) ).
fof(f2478,plain,
( ~ spl2_20
| ~ spl2_33 ),
inference(avatar_contradiction_clause,[],[f2477]) ).
fof(f2477,plain,
( $false
| ~ spl2_20
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f2476]) ).
fof(f2476,plain,
( n18 != n18
| ~ spl2_20
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2475,f534]) ).
fof(f2475,plain,
( n18 != sum(n5,n13)
| ~ spl2_20
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2474,f357]) ).
fof(f2474,plain,
( sum(n5,n13) != sum(n9,n9)
| ~ spl2_20
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2473,f123]) ).
fof(f2473,plain,
( sum(n9,n9) != sum(n5,sum(n16,n18))
| ~ spl2_20
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2472,f221]) ).
fof(f2472,plain,
( sum(n5,sum(n16,n18)) != sum(sum(n12,n18),n9)
| ~ spl2_20
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2471,f97]) ).
fof(f2471,plain,
( sum(n5,sum(n16,n18)) != sum(sum(n12,n18),sum(n16,n14))
| ~ spl2_20
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2470,f288]) ).
fof(f2470,plain,
( sum(sum(n12,n18),sum(pred(n17),n14)) != sum(n5,sum(pred(n17),n18))
| ~ spl2_20
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2469,f657]) ).
fof(f2469,plain,
( sum(sum(n12,succ(n17)),sum(pred(n17),n14)) != sum(n5,sum(pred(n17),succ(n17)))
| ~ spl2_20
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2380,f779]) ).
fof(f2453,plain,
( ~ spl2_11
| ~ spl2_33 ),
inference(avatar_contradiction_clause,[],[f2452]) ).
fof(f2452,plain,
( $false
| ~ spl2_11
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f2451]) ).
fof(f2451,plain,
( n16 != n16
| ~ spl2_11
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2450,f649]) ).
fof(f2450,plain,
( n16 != sum(n5,n11)
| ~ spl2_11
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2449,f177]) ).
fof(f2449,plain,
( sum(n5,n11) != sum(n8,n8)
| ~ spl2_11
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2448,f260]) ).
fof(f2448,plain,
( sum(n5,n11) != sum(sum(n12,n17),n8)
| ~ spl2_11
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2447,f682]) ).
fof(f2447,plain,
( sum(n5,n11) != sum(sum(n12,n17),sum(n15,n14))
| ~ spl2_11
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2446,f383]) ).
fof(f2446,plain,
( sum(sum(n12,n17),sum(n15,n14)) != sum(n5,sum(n15,n17))
| ~ spl2_11
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2445,f418]) ).
fof(f2445,plain,
( sum(sum(n12,n17),sum(pred(n16),n14)) != sum(n5,sum(pred(n16),n17))
| ~ spl2_11
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2440,f233]) ).
fof(f2440,plain,
( sum(sum(n12,succ(n16)),sum(pred(n16),n14)) != sum(n5,sum(pred(n16),succ(n16)))
| ~ spl2_11
| ~ spl2_33 ),
inference(backward_demodulation,[],[f2380,f743]) ).
fof(f2434,plain,
( ~ spl2_8
| ~ spl2_33 ),
inference(avatar_contradiction_clause,[],[f2433]) ).
fof(f2433,plain,
( $false
| ~ spl2_8
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f2432]) ).
fof(f2432,plain,
( n3 != n3
| ~ spl2_8
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2431,f553]) ).
fof(f2431,plain,
( n3 != sum(n5,n19)
| ~ spl2_8
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2430,f546]) ).
fof(f2430,plain,
( sum(n5,n19) != sum(n12,n12)
| ~ spl2_8
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2429,f283]) ).
fof(f2429,plain,
( sum(n5,n19) != sum(sum(n12,n0),n12)
| ~ spl2_8
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2428,f630]) ).
fof(f2428,plain,
( sum(n5,n19) != sum(sum(n12,n0),sum(n19,n14))
| ~ spl2_8
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2427,f323]) ).
fof(f2427,plain,
( sum(sum(n12,n0),sum(n19,n14)) != sum(n5,sum(n19,n0))
| ~ spl2_8
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2426,f214]) ).
fof(f2426,plain,
( sum(sum(n12,n0),sum(pred(n20),n14)) != sum(n5,sum(pred(n20),n0))
| ~ spl2_8
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2425,f580]) ).
fof(f2425,plain,
( sum(sum(n12,succ(n20)),sum(pred(n20),n14)) != sum(n5,sum(pred(n20),succ(n20)))
| ~ spl2_8
| ~ spl2_33 ),
inference(backward_demodulation,[],[f2380,f731]) ).
fof(f2390,plain,
( ~ spl2_18
| ~ spl2_33 ),
inference(avatar_contradiction_clause,[],[f2389]) ).
fof(f2389,plain,
( $false
| ~ spl2_18
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f2388]) ).
fof(f2388,plain,
( n13 != n13
| ~ spl2_18
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2387,f91]) ).
fof(f2387,plain,
( n13 != sum(n5,n8)
| ~ spl2_18
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2386,f106]) ).
fof(f2386,plain,
( sum(n5,n8) != sum(n17,n17)
| ~ spl2_18
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2385,f552]) ).
fof(f2385,plain,
( sum(n5,n8) != sum(sum(n12,n5),n17)
| ~ spl2_18
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2384,f670]) ).
fof(f2384,plain,
( sum(sum(n12,n5),n17) != sum(n5,sum(n3,n5))
| ~ spl2_18
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2383,f596]) ).
fof(f2383,plain,
( sum(n5,sum(n3,n5)) != sum(sum(n12,n5),sum(n3,n14))
| ~ spl2_18
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2382,f688]) ).
fof(f2382,plain,
( sum(n5,sum(pred(n4),n5)) != sum(sum(n12,n5),sum(pred(n4),n14))
| ~ spl2_18
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2381,f567]) ).
fof(f2381,plain,
( sum(sum(n12,succ(n4)),sum(pred(n4),n14)) != sum(n5,sum(pred(n4),succ(n4)))
| ~ spl2_18
| ~ spl2_33 ),
inference(backward_demodulation,[],[f2380,f771]) ).
fof(f2364,plain,
( ~ spl2_15
| ~ spl2_33 ),
inference(avatar_contradiction_clause,[],[f2363]) ).
fof(f2363,plain,
( $false
| ~ spl2_15
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f2362]) ).
fof(f2362,plain,
( n20 != n20
| ~ spl2_15
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2361,f531]) ).
fof(f2361,plain,
( n20 != sum(n5,n15)
| ~ spl2_15
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2360,f324]) ).
fof(f2360,plain,
( sum(n5,n15) != sum(n10,n10)
| ~ spl2_15
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2359,f452]) ).
fof(f2359,plain,
( sum(n5,n15) != sum(sum(n12,n19),n10)
| ~ spl2_15
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2358,f610]) ).
fof(f2358,plain,
( sum(sum(n12,n19),n10) != sum(sum(n12,n14),n15)
| ~ spl2_15
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2357,f402]) ).
fof(f2357,plain,
( sum(sum(n12,n19),n10) != sum(sum(n12,n14),sum(n17,n19))
| ~ spl2_15
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2356,f225]) ).
fof(f2356,plain,
( sum(sum(pred(n13),n14),sum(n17,n19)) != sum(sum(pred(n13),n19),n10)
| ~ spl2_15
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2355,f561]) ).
fof(f2355,plain,
( sum(sum(pred(n13),n14),sum(n17,n19)) != sum(sum(pred(n13),n19),sum(n17,n14))
| ~ spl2_15
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2354,f651]) ).
fof(f2354,plain,
( sum(sum(pred(n13),n19),sum(pred(n18),n14)) != sum(sum(pred(n13),n14),sum(pred(n18),n19))
| ~ spl2_15
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2353,f40]) ).
fof(f2353,plain,
( sum(sum(pred(n13),succ(n18)),sum(pred(n18),n14)) != sum(sum(pred(n13),n14),sum(pred(n18),succ(n18)))
| ~ spl2_15
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2352,f502]) ).
fof(f2352,plain,
( sum(sum(pred(n13),succ(n13)),sum(pred(n18),succ(n18))) != sum(sum(pred(n13),succ(n18)),sum(pred(n18),succ(n13)))
| ~ spl2_15
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2351,f832]) ).
fof(f2351,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n18),succ(n18))) != sum(sum(pred(sK0),succ(n18)),sum(pred(n18),succ(sK0)))
| ~ spl2_15 ),
inference(forward_demodulation,[],[f346,f759]) ).
fof(f2315,plain,
( ~ spl2_16
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f2314]) ).
fof(f2314,plain,
( $false
| ~ spl2_16
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f2313]) ).
fof(f2313,plain,
( n13 != n13
| ~ spl2_16
| ~ spl2_29 ),
inference(forward_demodulation,[],[f2312,f411]) ).
fof(f2312,plain,
( n13 != sum(n6,n7)
| ~ spl2_16
| ~ spl2_29 ),
inference(forward_demodulation,[],[f2311,f106]) ).
fof(f2311,plain,
( sum(n6,n7) != sum(n17,n17)
| ~ spl2_16
| ~ spl2_29 ),
inference(forward_demodulation,[],[f2310,f387]) ).
fof(f2310,plain,
( sum(n6,n7) != sum(sum(n2,n15),n17)
| ~ spl2_16
| ~ spl2_29 ),
inference(forward_demodulation,[],[f2309,f533]) ).
fof(f2309,plain,
( sum(sum(n2,n15),n17) != sum(sum(n2,n4),n7)
| ~ spl2_16
| ~ spl2_29 ),
inference(forward_demodulation,[],[f2308,f174]) ).
fof(f2308,plain,
( sum(sum(pred(n3),n4),n7) != sum(sum(pred(n3),n15),n17)
| ~ spl2_16
| ~ spl2_29 ),
inference(forward_demodulation,[],[f2307,f606]) ).
fof(f2307,plain,
( sum(sum(pred(n3),n4),n7) != sum(sum(pred(n3),n15),sum(n13,n4))
| ~ spl2_16
| ~ spl2_29 ),
inference(forward_demodulation,[],[f2306,f447]) ).
fof(f2306,plain,
( sum(sum(pred(n3),n15),sum(n13,succ(n3))) != sum(sum(pred(n3),succ(n3)),n7)
| ~ spl2_16
| ~ spl2_29 ),
inference(forward_demodulation,[],[f1731,f816]) ).
fof(f1731,plain,
( sum(sum(pred(sK0),n15),sum(n13,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n7)
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1730,f187]) ).
fof(f1730,plain,
( sum(sum(pred(sK0),n15),sum(n13,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(n13,n15))
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1729,f454]) ).
fof(f1729,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n14),n15)) != sum(sum(pred(sK0),n15),sum(pred(n14),succ(sK0)))
| ~ spl2_16 ),
inference(forward_demodulation,[],[f1724,f217]) ).
fof(f1724,plain,
( sum(sum(pred(sK0),succ(n14)),sum(pred(n14),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n14),succ(n14)))
| ~ spl2_16 ),
inference(backward_demodulation,[],[f346,f763]) ).
fof(f763,plain,
( n14 = sK1
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f761,plain,
( spl2_16
<=> n14 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).
fof(f2290,plain,
( ~ spl2_16
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f2289]) ).
fof(f2289,plain,
( $false
| ~ spl2_16
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f2288]) ).
fof(f2288,plain,
( n19 != n19
| ~ spl2_16
| ~ spl2_28 ),
inference(forward_demodulation,[],[f2287,f275]) ).
fof(f2287,plain,
( n19 != sum(n12,n7)
| ~ spl2_16
| ~ spl2_28 ),
inference(forward_demodulation,[],[f2286,f119]) ).
fof(f2286,plain,
( sum(n12,n7) != sum(n20,n20)
| ~ spl2_16
| ~ spl2_28 ),
inference(forward_demodulation,[],[f2285,f511]) ).
fof(f2285,plain,
( sum(n20,n20) != sum(sum(n5,n7),n7)
| ~ spl2_16
| ~ spl2_28 ),
inference(forward_demodulation,[],[f2284,f531]) ).
fof(f2284,plain,
( sum(sum(n5,n7),n7) != sum(sum(n5,n15),n20)
| ~ spl2_16
| ~ spl2_28 ),
inference(forward_demodulation,[],[f2283,f462]) ).
fof(f2283,plain,
( sum(sum(n5,n7),n7) != sum(sum(n5,n15),sum(n13,n7))
| ~ spl2_16
| ~ spl2_28 ),
inference(forward_demodulation,[],[f2282,f530]) ).
fof(f2282,plain,
( sum(sum(pred(n6),n15),sum(n13,n7)) != sum(sum(pred(n6),n7),n7)
| ~ spl2_16
| ~ spl2_28 ),
inference(forward_demodulation,[],[f2281,f457]) ).
fof(f2281,plain,
( sum(sum(pred(n6),n15),sum(n13,succ(n6))) != sum(sum(pred(n6),succ(n6)),n7)
| ~ spl2_16
| ~ spl2_28 ),
inference(backward_demodulation,[],[f1731,f812]) ).
fof(f2264,plain,
( ~ spl2_16
| ~ spl2_25 ),
inference(avatar_contradiction_clause,[],[f2263]) ).
fof(f2263,plain,
( $false
| ~ spl2_16
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f2262]) ).
fof(f2262,plain,
( n16 != n16
| ~ spl2_16
| ~ spl2_25 ),
inference(forward_demodulation,[],[f2261,f177]) ).
fof(f2261,plain,
( n16 != sum(n8,n8)
| ~ spl2_16
| ~ spl2_25 ),
inference(forward_demodulation,[],[f2260,f306]) ).
fof(f2260,plain,
( sum(n8,n8) != sum(n9,n7)
| ~ spl2_16
| ~ spl2_25 ),
inference(forward_demodulation,[],[f2259,f93]) ).
fof(f2259,plain,
( sum(n9,n7) != sum(sum(n14,n15),n8)
| ~ spl2_16
| ~ spl2_25 ),
inference(forward_demodulation,[],[f2258,f413]) ).
fof(f2258,plain,
( sum(n9,n7) != sum(sum(n14,n15),sum(n13,n16))
| ~ spl2_16
| ~ spl2_25 ),
inference(forward_demodulation,[],[f2257,f486]) ).
fof(f2257,plain,
( sum(sum(n14,n15),sum(n13,n16)) != sum(sum(n14,n16),n7)
| ~ spl2_16
| ~ spl2_25 ),
inference(forward_demodulation,[],[f2256,f562]) ).
fof(f2256,plain,
( sum(sum(pred(n15),n15),sum(n13,n16)) != sum(sum(pred(n15),n16),n7)
| ~ spl2_16
| ~ spl2_25 ),
inference(forward_demodulation,[],[f2255,f37]) ).
fof(f2255,plain,
( sum(sum(pred(n15),succ(n15)),n7) != sum(sum(pred(n15),n15),sum(n13,succ(n15)))
| ~ spl2_16
| ~ spl2_25 ),
inference(forward_demodulation,[],[f1731,f800]) ).
fof(f2230,plain,
( ~ spl2_16
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f2229]) ).
fof(f2229,plain,
( $false
| ~ spl2_16
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f2228]) ).
fof(f2228,plain,
( n6 != n6
| ~ spl2_16
| ~ spl2_42 ),
inference(forward_demodulation,[],[f2227,f419]) ).
fof(f2227,plain,
( n6 != sum(n3,n3)
| ~ spl2_16
| ~ spl2_42 ),
inference(forward_demodulation,[],[f2226,f525]) ).
fof(f2226,plain,
( sum(n3,n3) != sum(n20,n7)
| ~ spl2_16
| ~ spl2_42 ),
inference(forward_demodulation,[],[f2225,f16]) ).
fof(f2225,plain,
( sum(n3,n3) != sum(sum(n9,n11),n7)
| ~ spl2_16
| ~ spl2_42 ),
inference(forward_demodulation,[],[f2224,f426]) ).
fof(f2224,plain,
( sum(sum(n9,n11),n7) != sum(sum(n9,n15),n3)
| ~ spl2_16
| ~ spl2_42 ),
inference(forward_demodulation,[],[f2223,f693]) ).
fof(f2223,plain,
( sum(sum(pred(n10),n11),n7) != sum(sum(pred(n10),n15),n3)
| ~ spl2_16
| ~ spl2_42 ),
inference(forward_demodulation,[],[f2222,f644]) ).
fof(f2222,plain,
( sum(sum(pred(n10),n11),n7) != sum(sum(pred(n10),n15),sum(n13,n11))
| ~ spl2_16
| ~ spl2_42 ),
inference(forward_demodulation,[],[f2221,f114]) ).
fof(f2221,plain,
( sum(sum(pred(n10),succ(n10)),n7) != sum(sum(pred(n10),n15),sum(n13,succ(n10)))
| ~ spl2_16
| ~ spl2_42 ),
inference(backward_demodulation,[],[f1731,f868]) ).
fof(f2197,plain,
( ~ spl2_16
| ~ spl2_37 ),
inference(avatar_contradiction_clause,[],[f2196]) ).
fof(f2196,plain,
( $false
| ~ spl2_16
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f2195]) ).
fof(f2195,plain,
( n3 != n3
| ~ spl2_16
| ~ spl2_37 ),
inference(forward_demodulation,[],[f2194,f546]) ).
fof(f2194,plain,
( n3 != sum(n12,n12)
| ~ spl2_16
| ~ spl2_37 ),
inference(forward_demodulation,[],[f2193,f501]) ).
fof(f2193,plain,
( sum(n12,n12) != sum(n17,n7)
| ~ spl2_16
| ~ spl2_37 ),
inference(forward_demodulation,[],[f2192,f153]) ).
fof(f2192,plain,
( sum(n12,n12) != sum(sum(n18,n20),n7)
| ~ spl2_16
| ~ spl2_37 ),
inference(forward_demodulation,[],[f2191,f581]) ).
fof(f2191,plain,
( sum(sum(n18,n20),n7) != sum(sum(n18,n15),n12)
| ~ spl2_16
| ~ spl2_37 ),
inference(forward_demodulation,[],[f2190,f350]) ).
fof(f2190,plain,
( sum(sum(pred(n19),n20),n7) != sum(sum(pred(n19),n15),n12)
| ~ spl2_16
| ~ spl2_37 ),
inference(forward_demodulation,[],[f2189,f571]) ).
fof(f2189,plain,
( sum(sum(pred(n19),n20),n7) != sum(sum(pred(n19),n15),sum(n13,n20))
| ~ spl2_16
| ~ spl2_37 ),
inference(forward_demodulation,[],[f2188,f508]) ).
fof(f2188,plain,
( sum(sum(pred(n19),succ(n19)),n7) != sum(sum(pred(n19),n15),sum(n13,succ(n19)))
| ~ spl2_16
| ~ spl2_37 ),
inference(backward_demodulation,[],[f1731,f848]) ).
fof(f2159,plain,
( ~ spl2_16
| ~ spl2_35 ),
inference(avatar_contradiction_clause,[],[f2158]) ).
fof(f2158,plain,
( $false
| ~ spl2_16
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f2157]) ).
fof(f2157,plain,
( sum(sum(pred(n14),n15),n7) != sum(sum(pred(n14),n15),n7)
| ~ spl2_16
| ~ spl2_35 ),
inference(forward_demodulation,[],[f2156,f187]) ).
fof(f2156,plain,
( sum(sum(pred(n14),n15),n7) != sum(sum(pred(n14),n15),sum(n13,n15))
| ~ spl2_16
| ~ spl2_35 ),
inference(forward_demodulation,[],[f2152,f217]) ).
fof(f2152,plain,
( sum(sum(pred(n14),succ(n14)),n7) != sum(sum(pred(n14),n15),sum(n13,succ(n14)))
| ~ spl2_16
| ~ spl2_35 ),
inference(backward_demodulation,[],[f1731,f840]) ).
fof(f2150,plain,
( ~ spl2_16
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f2149]) ).
fof(f2149,plain,
( $false
| ~ spl2_16
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f2148]) ).
fof(f2148,plain,
( n2 != n2
| ~ spl2_16
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2147,f433]) ).
fof(f2147,plain,
( n2 != sum(n1,n1)
| ~ spl2_16
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2146,f689]) ).
fof(f2146,plain,
( sum(n1,n1) != sum(n16,n7)
| ~ spl2_16
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2145,f435]) ).
fof(f2145,plain,
( sum(n16,n7) != sum(sum(n7,n15),n1)
| ~ spl2_16
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2144,f648]) ).
fof(f2144,plain,
( sum(sum(n7,n15),n1) != sum(sum(n7,n9),n7)
| ~ spl2_16
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2143,f343]) ).
fof(f2143,plain,
( sum(sum(n7,n9),n7) != sum(sum(n7,n15),sum(n13,n9))
| ~ spl2_16
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2142,f607]) ).
fof(f2142,plain,
( sum(sum(pred(n8),n15),sum(n13,n9)) != sum(sum(pred(n8),n9),n7)
| ~ spl2_16
| ~ spl2_22 ),
inference(forward_demodulation,[],[f2141,f474]) ).
fof(f2141,plain,
( sum(sum(pred(n8),n15),sum(n13,succ(n8))) != sum(sum(pred(n8),succ(n8)),n7)
| ~ spl2_16
| ~ spl2_22 ),
inference(backward_demodulation,[],[f1731,f788]) ).
fof(f2121,plain,
( ~ spl2_16
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f2120]) ).
fof(f2120,plain,
( $false
| ~ spl2_16
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f2119]) ).
fof(f2119,plain,
( n10 != n10
| ~ spl2_16
| ~ spl2_24 ),
inference(forward_demodulation,[],[f2118,f181]) ).
fof(f2118,plain,
( n10 != sum(n3,n7)
| ~ spl2_16
| ~ spl2_24 ),
inference(forward_demodulation,[],[f2117,f230]) ).
fof(f2117,plain,
( sum(n3,n7) != sum(n5,n5)
| ~ spl2_16
| ~ spl2_24 ),
inference(forward_demodulation,[],[f2116,f125]) ).
fof(f2116,plain,
( sum(n5,n5) != sum(sum(n11,n13),n7)
| ~ spl2_16
| ~ spl2_24 ),
inference(forward_demodulation,[],[f2115,f84]) ).
fof(f2115,plain,
( sum(sum(n11,n13),n7) != sum(sum(n11,n15),n5)
| ~ spl2_16
| ~ spl2_24 ),
inference(forward_demodulation,[],[f2114,f347]) ).
fof(f2114,plain,
( sum(sum(pred(n12),n15),n5) != sum(sum(pred(n12),n13),n7)
| ~ spl2_16
| ~ spl2_24 ),
inference(forward_demodulation,[],[f2113,f66]) ).
fof(f2113,plain,
( sum(sum(pred(n12),n13),n7) != sum(sum(pred(n12),n15),sum(n13,n13))
| ~ spl2_16
| ~ spl2_24 ),
inference(forward_demodulation,[],[f2112,f278]) ).
fof(f2112,plain,
( sum(sum(pred(n12),succ(n12)),n7) != sum(sum(pred(n12),n15),sum(n13,succ(n12)))
| ~ spl2_16
| ~ spl2_24 ),
inference(forward_demodulation,[],[f1731,f796]) ).
fof(f2093,plain,
( ~ spl2_16
| ~ spl2_26 ),
inference(avatar_contradiction_clause,[],[f2092]) ).
fof(f2092,plain,
( $false
| ~ spl2_16
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f2091]) ).
fof(f2091,plain,
( n5 != n5
| ~ spl2_16
| ~ spl2_26 ),
inference(forward_demodulation,[],[f2090,f66]) ).
fof(f2090,plain,
( n5 != sum(n13,n13)
| ~ spl2_16
| ~ spl2_26 ),
inference(forward_demodulation,[],[f2089,f164]) ).
fof(f2089,plain,
( sum(n13,n13) != sum(n19,n7)
| ~ spl2_16
| ~ spl2_26 ),
inference(forward_demodulation,[],[f2088,f115]) ).
fof(f2088,plain,
( sum(n19,n7) != sum(sum(n19,n15),n13)
| ~ spl2_16
| ~ spl2_26 ),
inference(forward_demodulation,[],[f2087,f323]) ).
fof(f2087,plain,
( sum(sum(n19,n15),n13) != sum(sum(n19,n0),n7)
| ~ spl2_16
| ~ spl2_26 ),
inference(forward_demodulation,[],[f2086,f214]) ).
fof(f2086,plain,
( sum(sum(pred(n20),n0),n7) != sum(sum(pred(n20),n15),n13)
| ~ spl2_16
| ~ spl2_26 ),
inference(forward_demodulation,[],[f2085,f267]) ).
fof(f2085,plain,
( sum(sum(pred(n20),n0),n7) != sum(sum(pred(n20),n15),sum(n13,n0))
| ~ spl2_16
| ~ spl2_26 ),
inference(forward_demodulation,[],[f2084,f580]) ).
fof(f2084,plain,
( sum(sum(pred(n20),n15),sum(n13,succ(n20))) != sum(sum(pred(n20),succ(n20)),n7)
| ~ spl2_16
| ~ spl2_26 ),
inference(forward_demodulation,[],[f1731,f804]) ).
fof(f2050,plain,
( ~ spl2_16
| ~ spl2_33 ),
inference(avatar_contradiction_clause,[],[f2049]) ).
fof(f2049,plain,
( $false
| ~ spl2_16
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f2048]) ).
fof(f2048,plain,
( n12 != n12
| ~ spl2_16
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2047,f511]) ).
fof(f2047,plain,
( n12 != sum(n5,n7)
| ~ spl2_16
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2046,f316]) ).
fof(f2046,plain,
( sum(n5,n7) != sum(n6,n6)
| ~ spl2_16
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2045,f65]) ).
fof(f2045,plain,
( sum(n5,n7) != sum(sum(n12,n15),n6)
| ~ spl2_16
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2044,f610]) ).
fof(f2044,plain,
( sum(sum(n12,n15),n6) != sum(sum(n12,n14),n7)
| ~ spl2_16
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2043,f225]) ).
fof(f2043,plain,
( sum(sum(pred(n13),n14),n7) != sum(sum(pred(n13),n15),n6)
| ~ spl2_16
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2042,f130]) ).
fof(f2042,plain,
( sum(sum(pred(n13),n14),n7) != sum(sum(pred(n13),n15),sum(n13,n14))
| ~ spl2_16
| ~ spl2_33 ),
inference(forward_demodulation,[],[f2038,f502]) ).
fof(f2038,plain,
( sum(sum(pred(n13),n15),sum(n13,succ(n13))) != sum(sum(pred(n13),succ(n13)),n7)
| ~ spl2_16
| ~ spl2_33 ),
inference(backward_demodulation,[],[f1731,f832]) ).
fof(f2024,plain,
( ~ spl2_16
| ~ spl2_39 ),
inference(avatar_contradiction_clause,[],[f2023]) ).
fof(f2023,plain,
( $false
| ~ spl2_16
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f2022]) ).
fof(f2022,plain,
( n15 != n15
| ~ spl2_16
| ~ spl2_39 ),
inference(forward_demodulation,[],[f2021,f34]) ).
fof(f2021,plain,
( n15 != sum(n8,n7)
| ~ spl2_16
| ~ spl2_39 ),
inference(forward_demodulation,[],[f2020,f679]) ).
fof(f2020,plain,
( sum(n8,n7) != sum(n18,n18)
| ~ spl2_16
| ~ spl2_39 ),
inference(forward_demodulation,[],[f2019,f670]) ).
fof(f2019,plain,
( sum(n18,n18) != sum(sum(n3,n5),n7)
| ~ spl2_16
| ~ spl2_39 ),
inference(forward_demodulation,[],[f2018,f617]) ).
fof(f2018,plain,
( sum(sum(n3,n5),n7) != sum(sum(n3,n15),n18)
| ~ spl2_16
| ~ spl2_39 ),
inference(forward_demodulation,[],[f2017,f688]) ).
fof(f2017,plain,
( sum(sum(pred(n4),n15),n18) != sum(sum(pred(n4),n5),n7)
| ~ spl2_16
| ~ spl2_39 ),
inference(forward_demodulation,[],[f2016,f314]) ).
fof(f2016,plain,
( sum(sum(pred(n4),n5),n7) != sum(sum(pred(n4),n15),sum(n13,n5))
| ~ spl2_16
| ~ spl2_39 ),
inference(forward_demodulation,[],[f2015,f567]) ).
fof(f2015,plain,
( sum(sum(pred(n4),n15),sum(n13,succ(n4))) != sum(sum(pred(n4),succ(n4)),n7)
| ~ spl2_16
| ~ spl2_39 ),
inference(forward_demodulation,[],[f1731,f856]) ).
fof(f1995,plain,
( ~ spl2_16
| ~ spl2_23 ),
inference(avatar_contradiction_clause,[],[f1994]) ).
fof(f1994,plain,
( $false
| ~ spl2_16
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f1993]) ).
fof(f1993,plain,
( n11 != n11
| ~ spl2_16
| ~ spl2_23 ),
inference(forward_demodulation,[],[f1992,f148]) ).
fof(f1992,plain,
( n11 != sum(n4,n7)
| ~ spl2_16
| ~ spl2_23 ),
inference(forward_demodulation,[],[f1991,f193]) ).
fof(f1991,plain,
( sum(n4,n7) != sum(n16,n16)
| ~ spl2_16
| ~ spl2_23 ),
inference(forward_demodulation,[],[f1990,f626]) ).
fof(f1990,plain,
( sum(n4,n7) != sum(sum(n1,n15),n16)
| ~ spl2_16
| ~ spl2_23 ),
inference(forward_demodulation,[],[f1989,f141]) ).
fof(f1989,plain,
( sum(sum(n1,n15),n16) != sum(sum(n1,n3),n7)
| ~ spl2_16
| ~ spl2_23 ),
inference(forward_demodulation,[],[f1988,f231]) ).
fof(f1988,plain,
( sum(sum(pred(n2),n15),n16) != sum(sum(pred(n2),n3),n7)
| ~ spl2_16
| ~ spl2_23 ),
inference(forward_demodulation,[],[f1987,f204]) ).
fof(f1987,plain,
( sum(sum(pred(n2),n3),n7) != sum(sum(pred(n2),n15),sum(n13,n3))
| ~ spl2_16
| ~ spl2_23 ),
inference(forward_demodulation,[],[f1986,f184]) ).
fof(f1986,plain,
( sum(sum(pred(n2),n15),sum(n13,succ(n2))) != sum(sum(pred(n2),succ(n2)),n7)
| ~ spl2_16
| ~ spl2_23 ),
inference(backward_demodulation,[],[f1731,f792]) ).
fof(f1974,plain,
( ~ spl2_16
| ~ spl2_38 ),
inference(avatar_contradiction_clause,[],[f1973]) ).
fof(f1973,plain,
( $false
| ~ spl2_16
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f1972]) ).
fof(f1972,plain,
( n9 != n9
| ~ spl2_16
| ~ spl2_38 ),
inference(forward_demodulation,[],[f1971,f189]) ).
fof(f1971,plain,
( n9 != sum(n2,n7)
| ~ spl2_16
| ~ spl2_38 ),
inference(forward_demodulation,[],[f1970,f318]) ).
fof(f1970,plain,
( sum(n2,n7) != sum(n15,n15)
| ~ spl2_16
| ~ spl2_38 ),
inference(forward_demodulation,[],[f1969,f23]) ).
fof(f1969,plain,
( sum(n2,n7) != sum(sum(n0,n15),n15)
| ~ spl2_16
| ~ spl2_38 ),
inference(forward_demodulation,[],[f1968,f684]) ).
fof(f1968,plain,
( sum(n2,n7) != sum(sum(n0,n15),sum(n13,n2))
| ~ spl2_16
| ~ spl2_38 ),
inference(forward_demodulation,[],[f1967,f190]) ).
fof(f1967,plain,
( sum(sum(n0,n15),sum(n13,n2)) != sum(sum(n0,n2),n7)
| ~ spl2_16
| ~ spl2_38 ),
inference(forward_demodulation,[],[f1966,f598]) ).
fof(f1966,plain,
( sum(sum(pred(n1),n15),sum(n13,n2)) != sum(sum(pred(n1),n2),n7)
| ~ spl2_16
| ~ spl2_38 ),
inference(forward_demodulation,[],[f1965,f677]) ).
fof(f1965,plain,
( sum(sum(pred(n1),succ(n1)),n7) != sum(sum(pred(n1),n15),sum(n13,succ(n1)))
| ~ spl2_16
| ~ spl2_38 ),
inference(backward_demodulation,[],[f1731,f852]) ).
fof(f1946,plain,
( ~ spl2_16
| ~ spl2_36 ),
inference(avatar_contradiction_clause,[],[f1945]) ).
fof(f1945,plain,
( $false
| ~ spl2_16
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f1944]) ).
fof(f1944,plain,
( n4 != n4
| ~ spl2_16
| ~ spl2_36 ),
inference(forward_demodulation,[],[f1943,f489]) ).
fof(f1943,plain,
( n4 != sum(n2,n2)
| ~ spl2_16
| ~ spl2_36 ),
inference(forward_demodulation,[],[f1942,f429]) ).
fof(f1942,plain,
( sum(n2,n2) != sum(n18,n7)
| ~ spl2_16
| ~ spl2_36 ),
inference(forward_demodulation,[],[f1941,f128]) ).
fof(f1941,plain,
( sum(n18,n7) != sum(sum(n8,n15),n2)
| ~ spl2_16
| ~ spl2_36 ),
inference(forward_demodulation,[],[f1940,f512]) ).
fof(f1940,plain,
( sum(n18,n7) != sum(sum(n8,n15),sum(n13,n10))
| ~ spl2_16
| ~ spl2_36 ),
inference(forward_demodulation,[],[f1939,f391]) ).
fof(f1939,plain,
( sum(sum(n8,n15),sum(n13,n10)) != sum(sum(n8,n10),n7)
| ~ spl2_16
| ~ spl2_36 ),
inference(forward_demodulation,[],[f1938,f333]) ).
fof(f1938,plain,
( sum(sum(pred(n9),n15),sum(n13,n10)) != sum(sum(pred(n9),n10),n7)
| ~ spl2_16
| ~ spl2_36 ),
inference(forward_demodulation,[],[f1937,f699]) ).
fof(f1937,plain,
( sum(sum(pred(n9),succ(n9)),n7) != sum(sum(pred(n9),n15),sum(n13,succ(n9)))
| ~ spl2_16
| ~ spl2_36 ),
inference(forward_demodulation,[],[f1731,f844]) ).
fof(f1911,plain,
( ~ spl2_16
| ~ spl2_41 ),
inference(avatar_contradiction_clause,[],[f1910]) ).
fof(f1910,plain,
( $false
| ~ spl2_16
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f1909]) ).
fof(f1909,plain,
( n20 != n20
| ~ spl2_16
| ~ spl2_41 ),
inference(forward_demodulation,[],[f1908,f324]) ).
fof(f1908,plain,
( n20 != sum(n10,n10)
| ~ spl2_16
| ~ spl2_41 ),
inference(forward_demodulation,[],[f1907,f462]) ).
fof(f1907,plain,
( sum(n10,n10) != sum(n13,n7)
| ~ spl2_16
| ~ spl2_41 ),
inference(forward_demodulation,[],[f1906,f123]) ).
fof(f1906,plain,
( sum(n10,n10) != sum(sum(n16,n18),n7)
| ~ spl2_16
| ~ spl2_41 ),
inference(forward_demodulation,[],[f1905,f498]) ).
fof(f1905,plain,
( sum(sum(n16,n18),n7) != sum(sum(n16,n15),n10)
| ~ spl2_16
| ~ spl2_41 ),
inference(forward_demodulation,[],[f1904,f597]) ).
fof(f1904,plain,
( sum(sum(n16,n18),n7) != sum(sum(n16,n15),sum(n13,n18))
| ~ spl2_16
| ~ spl2_41 ),
inference(forward_demodulation,[],[f1903,f288]) ).
fof(f1903,plain,
( sum(sum(pred(n17),n15),sum(n13,n18)) != sum(sum(pred(n17),n18),n7)
| ~ spl2_16
| ~ spl2_41 ),
inference(forward_demodulation,[],[f1902,f657]) ).
fof(f1902,plain,
( sum(sum(pred(n17),n15),sum(n13,succ(n17))) != sum(sum(pred(n17),succ(n17)),n7)
| ~ spl2_16
| ~ spl2_41 ),
inference(backward_demodulation,[],[f1731,f864]) ).
fof(f1889,plain,
( ~ spl2_16
| ~ spl2_27 ),
inference(avatar_contradiction_clause,[],[f1888]) ).
fof(f1888,plain,
( $false
| ~ spl2_16
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f1887]) ).
fof(f1887,plain,
( n8 != n8
| ~ spl2_16
| ~ spl2_27 ),
inference(forward_demodulation,[],[f1886,f276]) ).
fof(f1886,plain,
( n8 != sum(n1,n7)
| ~ spl2_16
| ~ spl2_27 ),
inference(forward_demodulation,[],[f1885,f157]) ).
fof(f1885,plain,
( sum(n1,n7) != sum(n4,n4)
| ~ spl2_16
| ~ spl2_27 ),
inference(forward_demodulation,[],[f1884,f330]) ).
fof(f1884,plain,
( sum(n1,n7) != sum(sum(n10,n15),n4)
| ~ spl2_16
| ~ spl2_27 ),
inference(forward_demodulation,[],[f1883,f643]) ).
fof(f1883,plain,
( sum(n1,n7) != sum(sum(n10,n15),sum(n13,n12))
| ~ spl2_16
| ~ spl2_27 ),
inference(forward_demodulation,[],[f1882,f21]) ).
fof(f1882,plain,
( sum(sum(n10,n15),sum(n13,n12)) != sum(sum(n10,n12),n7)
| ~ spl2_16
| ~ spl2_27 ),
inference(forward_demodulation,[],[f1881,f266]) ).
fof(f1881,plain,
( sum(sum(pred(n11),n15),sum(n13,n12)) != sum(sum(pred(n11),n12),n7)
| ~ spl2_16
| ~ spl2_27 ),
inference(forward_demodulation,[],[f1880,f641]) ).
fof(f1880,plain,
( sum(sum(pred(n11),n15),sum(n13,succ(n11))) != sum(sum(pred(n11),succ(n11)),n7)
| ~ spl2_16
| ~ spl2_27 ),
inference(backward_demodulation,[],[f1731,f808]) ).
fof(f1860,plain,
( ~ spl2_16
| ~ spl2_32 ),
inference(avatar_contradiction_clause,[],[f1859]) ).
fof(f1859,plain,
( $false
| ~ spl2_16
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f1858]) ).
fof(f1858,plain,
( n17 != n17
| ~ spl2_16
| ~ spl2_32 ),
inference(forward_demodulation,[],[f1857,f308]) ).
fof(f1857,plain,
( n17 != sum(n10,n7)
| ~ spl2_16
| ~ spl2_32 ),
inference(forward_demodulation,[],[f1856,f210]) ).
fof(f1856,plain,
( sum(n10,n7) != sum(n19,n19)
| ~ spl2_16
| ~ spl2_32 ),
inference(forward_demodulation,[],[f1855,f403]) ).
fof(f1855,plain,
( sum(n10,n7) != sum(sum(n4,n15),n19)
| ~ spl2_16
| ~ spl2_32 ),
inference(forward_demodulation,[],[f1854,f464]) ).
fof(f1854,plain,
( sum(sum(n4,n15),n19) != sum(sum(n4,n6),n7)
| ~ spl2_16
| ~ spl2_32 ),
inference(forward_demodulation,[],[f1853,f126]) ).
fof(f1853,plain,
( sum(sum(pred(n5),n15),n19) != sum(sum(pred(n5),n6),n7)
| ~ spl2_16
| ~ spl2_32 ),
inference(forward_demodulation,[],[f1852,f675]) ).
fof(f1852,plain,
( sum(sum(pred(n5),n6),n7) != sum(sum(pred(n5),n15),sum(n13,n6))
| ~ spl2_16
| ~ spl2_32 ),
inference(forward_demodulation,[],[f1851,f692]) ).
fof(f1851,plain,
( sum(sum(pred(n5),n15),sum(n13,succ(n5))) != sum(sum(pred(n5),succ(n5)),n7)
| ~ spl2_16
| ~ spl2_32 ),
inference(backward_demodulation,[],[f1731,f828]) ).
fof(f1829,plain,
( ~ spl2_16
| ~ spl2_34 ),
inference(avatar_contradiction_clause,[],[f1828]) ).
fof(f1828,plain,
( $false
| ~ spl2_16
| ~ spl2_34 ),
inference(trivial_inequality_removal,[],[f1827]) ).
fof(f1827,plain,
( n7 != n7
| ~ spl2_16
| ~ spl2_34 ),
inference(forward_demodulation,[],[f1826,f270]) ).
fof(f1826,plain,
( n7 != sum(n0,n7)
| ~ spl2_16
| ~ spl2_34 ),
inference(forward_demodulation,[],[f1825,f243]) ).
fof(f1825,plain,
( sum(n0,n7) != sum(n14,n14)
| ~ spl2_16
| ~ spl2_34 ),
inference(forward_demodulation,[],[f1824,f355]) ).
fof(f1824,plain,
( sum(n0,n7) != sum(sum(n20,n15),n14)
| ~ spl2_16
| ~ spl2_34 ),
inference(forward_demodulation,[],[f1823,f510]) ).
fof(f1823,plain,
( sum(sum(n20,n15),n14) != sum(sum(n20,n1),n7)
| ~ spl2_16
| ~ spl2_34 ),
inference(forward_demodulation,[],[f1822,f358]) ).
fof(f1822,plain,
( sum(sum(pred(n0),n1),n7) != sum(sum(pred(n0),n15),n14)
| ~ spl2_16
| ~ spl2_34 ),
inference(forward_demodulation,[],[f1821,f367]) ).
fof(f1821,plain,
( sum(sum(pred(n0),n1),n7) != sum(sum(pred(n0),n15),sum(n13,n1))
| ~ spl2_16
| ~ spl2_34 ),
inference(forward_demodulation,[],[f1820,f192]) ).
fof(f1820,plain,
( sum(sum(pred(n0),n15),sum(n13,succ(n0))) != sum(sum(pred(n0),succ(n0)),n7)
| ~ spl2_16
| ~ spl2_34 ),
inference(forward_demodulation,[],[f1731,f836]) ).
fof(f1796,plain,
( ~ spl2_16
| ~ spl2_40 ),
inference(avatar_contradiction_clause,[],[f1795]) ).
fof(f1795,plain,
( $false
| ~ spl2_16
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f1794]) ).
fof(f1794,plain,
( n1 != n1
| ~ spl2_16
| ~ spl2_40 ),
inference(forward_demodulation,[],[f1793,f470]) ).
fof(f1793,plain,
( n1 != sum(n11,n11)
| ~ spl2_16
| ~ spl2_40 ),
inference(forward_demodulation,[],[f1792,f697]) ).
fof(f1792,plain,
( sum(n11,n11) != sum(n15,n7)
| ~ spl2_16
| ~ spl2_40 ),
inference(forward_demodulation,[],[f1791,f402]) ).
fof(f1791,plain,
( sum(n11,n11) != sum(sum(n17,n19),n7)
| ~ spl2_16
| ~ spl2_40 ),
inference(forward_demodulation,[],[f1790,f255]) ).
fof(f1790,plain,
( sum(sum(n17,n19),n7) != sum(sum(n17,n15),n11)
| ~ spl2_16
| ~ spl2_40 ),
inference(forward_demodulation,[],[f1789,f690]) ).
fof(f1789,plain,
( sum(sum(n17,n19),n7) != sum(sum(n17,n15),sum(n13,n19))
| ~ spl2_16
| ~ spl2_40 ),
inference(forward_demodulation,[],[f1788,f651]) ).
fof(f1788,plain,
( sum(sum(pred(n18),n15),sum(n13,n19)) != sum(sum(pred(n18),n19),n7)
| ~ spl2_16
| ~ spl2_40 ),
inference(forward_demodulation,[],[f1787,f40]) ).
fof(f1787,plain,
( sum(sum(pred(n18),n15),sum(n13,succ(n18))) != sum(sum(pred(n18),succ(n18)),n7)
| ~ spl2_16
| ~ spl2_40 ),
inference(forward_demodulation,[],[f1731,f860]) ).
fof(f1747,plain,
( ~ spl2_16
| ~ spl2_30 ),
inference(avatar_contradiction_clause,[],[f1746]) ).
fof(f1746,plain,
( $false
| ~ spl2_16
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f1745]) ).
fof(f1745,plain,
( n0 != n0
| ~ spl2_16
| ~ spl2_30 ),
inference(forward_demodulation,[],[f1744,f296]) ).
fof(f1744,plain,
( n0 != sum(n0,n0)
| ~ spl2_16
| ~ spl2_30 ),
inference(forward_demodulation,[],[f1743,f603]) ).
fof(f1743,plain,
( sum(n0,n0) != sum(n14,n7)
| ~ spl2_16
| ~ spl2_30 ),
inference(forward_demodulation,[],[f1742,f133]) ).
fof(f1742,plain,
( sum(n14,n7) != sum(sum(n6,n15),n0)
| ~ spl2_16
| ~ spl2_30 ),
inference(forward_demodulation,[],[f1741,f389]) ).
fof(f1741,plain,
( sum(n14,n7) != sum(sum(n6,n15),sum(n13,n8))
| ~ spl2_16
| ~ spl2_30 ),
inference(forward_demodulation,[],[f1740,f496]) ).
fof(f1740,plain,
( sum(sum(n6,n15),sum(n13,n8)) != sum(sum(n6,n8),n7)
| ~ spl2_16
| ~ spl2_30 ),
inference(forward_demodulation,[],[f1739,f519]) ).
fof(f1739,plain,
( sum(sum(pred(n7),n15),sum(n13,n8)) != sum(sum(pred(n7),n8),n7)
| ~ spl2_16
| ~ spl2_30 ),
inference(forward_demodulation,[],[f1738,f302]) ).
fof(f1738,plain,
( sum(sum(pred(n7),succ(n7)),n7) != sum(sum(pred(n7),n15),sum(n13,succ(n7)))
| ~ spl2_16
| ~ spl2_30 ),
inference(backward_demodulation,[],[f1731,f820]) ).
fof(f1714,plain,
( ~ spl2_7
| ~ spl2_31 ),
inference(avatar_contradiction_clause,[],[f1713]) ).
fof(f1713,plain,
( $false
| ~ spl2_7
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f1712]) ).
fof(f1712,plain,
( n11 != n11
| ~ spl2_7
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1711,f206]) ).
fof(f1711,plain,
( n11 != sum(n11,n0)
| ~ spl2_7
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1710,f193]) ).
fof(f1710,plain,
( sum(n11,n0) != sum(n16,n16)
| ~ spl2_7
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1709,f428]) ).
fof(f1709,plain,
( sum(n11,n0) != sum(sum(n15,n1),n16)
| ~ spl2_7
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1708,f151]) ).
fof(f1708,plain,
( sum(n11,n0) != sum(sum(n15,n1),sum(n20,n17))
| ~ spl2_7
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1707,f510]) ).
fof(f1707,plain,
( sum(sum(n15,n1),sum(n20,n17)) != sum(n11,sum(n20,n1))
| ~ spl2_7
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1706,f358]) ).
fof(f1706,plain,
( sum(n11,sum(pred(n0),n1)) != sum(sum(n15,n1),sum(pred(n0),n17))
| ~ spl2_7
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1705,f192]) ).
fof(f1705,plain,
( sum(sum(n15,succ(n0)),sum(pred(n0),n17)) != sum(n11,sum(pred(n0),succ(n0)))
| ~ spl2_7
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1314,f727]) ).
fof(f1314,plain,
( sum(n11,sum(pred(sK1),succ(sK1))) != sum(sum(n15,succ(sK1)),sum(pred(sK1),n17))
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1313,f383]) ).
fof(f1313,plain,
( sum(sum(n15,succ(sK1)),sum(pred(sK1),n17)) != sum(sum(n15,n17),sum(pred(sK1),succ(sK1)))
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1312,f418]) ).
fof(f1312,plain,
( sum(sum(pred(n16),succ(sK1)),sum(pred(sK1),n17)) != sum(sum(pred(n16),n17),sum(pred(sK1),succ(sK1)))
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1311,f233]) ).
fof(f1311,plain,
( sum(sum(pred(n16),succ(n16)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n16),succ(sK1)),sum(pred(sK1),succ(n16)))
| ~ spl2_31 ),
inference(forward_demodulation,[],[f346,f824]) ).
fof(f824,plain,
( n16 = sK0
| ~ spl2_31 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f822,plain,
( spl2_31
<=> n16 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_31])]) ).
fof(f1683,plain,
( ~ spl2_18
| ~ spl2_31 ),
inference(avatar_contradiction_clause,[],[f1682]) ).
fof(f1682,plain,
( $false
| ~ spl2_18
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f1681]) ).
fof(f1681,plain,
( n19 != n19
| ~ spl2_18
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1680,f632]) ).
fof(f1680,plain,
( n19 != sum(n11,n8)
| ~ spl2_18
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1679,f119]) ).
fof(f1679,plain,
( sum(n11,n8) != sum(n20,n20)
| ~ spl2_18
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1678,f646]) ).
fof(f1678,plain,
( sum(n11,n8) != sum(sum(n15,n5),n20)
| ~ spl2_18
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1677,f670]) ).
fof(f1677,plain,
( sum(sum(n15,n5),n20) != sum(n11,sum(n3,n5))
| ~ spl2_18
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1676,f449]) ).
fof(f1676,plain,
( sum(n11,sum(n3,n5)) != sum(sum(n15,n5),sum(n3,n17))
| ~ spl2_18
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1675,f688]) ).
fof(f1675,plain,
( sum(sum(n15,n5),sum(pred(n4),n17)) != sum(n11,sum(pred(n4),n5))
| ~ spl2_18
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1674,f567]) ).
fof(f1674,plain,
( sum(sum(n15,succ(n4)),sum(pred(n4),n17)) != sum(n11,sum(pred(n4),succ(n4)))
| ~ spl2_18
| ~ spl2_31 ),
inference(backward_demodulation,[],[f1314,f771]) ).
fof(f1655,plain,
( ~ spl2_13
| ~ spl2_31 ),
inference(avatar_contradiction_clause,[],[f1654]) ).
fof(f1654,plain,
( $false
| ~ spl2_13
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f1653]) ).
fof(f1653,plain,
( n0 != n0
| ~ spl2_13
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1652,f296]) ).
fof(f1652,plain,
( n0 != sum(n0,n0)
| ~ spl2_13
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1651,f32]) ).
fof(f1651,plain,
( sum(n0,n0) != sum(n11,n10)
| ~ spl2_13
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1650,f467]) ).
fof(f1650,plain,
( sum(n11,n10) != sum(sum(n15,n6),n0)
| ~ spl2_13
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1649,f464]) ).
fof(f1649,plain,
( sum(sum(n15,n6),n0) != sum(n11,sum(n4,n6))
| ~ spl2_13
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1648,f692]) ).
fof(f1648,plain,
( sum(n11,sum(n4,succ(n5))) != sum(sum(n15,succ(n5)),n0)
| ~ spl2_13
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1647,f235]) ).
fof(f1647,plain,
( sum(n11,sum(n4,succ(n5))) != sum(sum(n15,succ(n5)),sum(n4,n17))
| ~ spl2_13
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1646,f126]) ).
fof(f1646,plain,
( sum(n11,sum(pred(n5),succ(n5))) != sum(sum(n15,succ(n5)),sum(pred(n5),n17))
| ~ spl2_13
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1314,f751]) ).
fof(f1635,plain,
( ~ spl2_9
| ~ spl2_31 ),
inference(avatar_contradiction_clause,[],[f1634]) ).
fof(f1634,plain,
( $false
| ~ spl2_9
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f1633]) ).
fof(f1633,plain,
( n6 != n6
| ~ spl2_9
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1632,f419]) ).
fof(f1632,plain,
( n6 != sum(n3,n3)
| ~ spl2_9
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1631,f116]) ).
fof(f1631,plain,
( sum(n3,n3) != sum(n11,n16)
| ~ spl2_9
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1630,f648]) ).
fof(f1630,plain,
( sum(n3,n3) != sum(n11,sum(n7,n9))
| ~ spl2_9
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1629,f490]) ).
fof(f1629,plain,
( sum(n11,sum(n7,n9)) != sum(sum(n15,n9),n3)
| ~ spl2_9
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1628,f474]) ).
fof(f1628,plain,
( sum(n11,sum(n7,succ(n8))) != sum(sum(n15,succ(n8)),n3)
| ~ spl2_9
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1627,f618]) ).
fof(f1627,plain,
( sum(n11,sum(n7,succ(n8))) != sum(sum(n15,succ(n8)),sum(n7,n17))
| ~ spl2_9
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1626,f607]) ).
fof(f1626,plain,
( sum(n11,sum(pred(n8),succ(n8))) != sum(sum(n15,succ(n8)),sum(pred(n8),n17))
| ~ spl2_9
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1314,f735]) ).
fof(f1597,plain,
( ~ spl2_20
| ~ spl2_31 ),
inference(avatar_contradiction_clause,[],[f1596]) ).
fof(f1596,plain,
( $false
| ~ spl2_20
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f1595]) ).
fof(f1595,plain,
( n3 != n3
| ~ spl2_20
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1594,f125]) ).
fof(f1594,plain,
( n3 != sum(n11,n13)
| ~ spl2_20
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1593,f546]) ).
fof(f1593,plain,
( sum(n11,n13) != sum(n12,n12)
| ~ spl2_20
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1592,f312]) ).
fof(f1592,plain,
( sum(n11,n13) != sum(sum(n15,n18),n12)
| ~ spl2_20
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1591,f123]) ).
fof(f1591,plain,
( sum(sum(n15,n18),n12) != sum(n11,sum(n16,n18))
| ~ spl2_20
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1590,f5]) ).
fof(f1590,plain,
( sum(n11,sum(n16,n18)) != sum(sum(n15,n18),sum(n16,n17))
| ~ spl2_20
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1589,f288]) ).
fof(f1589,plain,
( sum(sum(n15,n18),sum(pred(n17),n17)) != sum(n11,sum(pred(n17),n18))
| ~ spl2_20
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1586,f657]) ).
fof(f1586,plain,
( sum(sum(n15,succ(n17)),sum(pred(n17),n17)) != sum(n11,sum(pred(n17),succ(n17)))
| ~ spl2_20
| ~ spl2_31 ),
inference(backward_demodulation,[],[f1314,f779]) ).
fof(f1582,plain,
( ~ spl2_3
| ~ spl2_31 ),
inference(avatar_contradiction_clause,[],[f1581]) ).
fof(f1581,plain,
( $false
| ~ spl2_3
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f1580]) ).
fof(f1580,plain,
( n16 != n16
| ~ spl2_3
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1579,f177]) ).
fof(f1579,plain,
( n16 != sum(n8,n8)
| ~ spl2_3
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1578,f353]) ).
fof(f1578,plain,
( sum(n8,n8) != sum(n11,n5)
| ~ spl2_3
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1577,f610]) ).
fof(f1577,plain,
( sum(n8,n8) != sum(n11,sum(n12,n14))
| ~ spl2_3
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1576,f682]) ).
fof(f1576,plain,
( sum(n11,sum(n12,n14)) != sum(sum(n15,n14),n8)
| ~ spl2_3
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1575,f502]) ).
fof(f1575,plain,
( sum(n11,sum(n12,succ(n13))) != sum(sum(n15,succ(n13)),n8)
| ~ spl2_3
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1574,f260]) ).
fof(f1574,plain,
( sum(n11,sum(n12,succ(n13))) != sum(sum(n15,succ(n13)),sum(n12,n17))
| ~ spl2_3
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1573,f225]) ).
fof(f1573,plain,
( sum(n11,sum(pred(n13),succ(n13))) != sum(sum(n15,succ(n13)),sum(pred(n13),n17))
| ~ spl2_3
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1314,f711]) ).
fof(f1551,plain,
( ~ spl2_12
| ~ spl2_31 ),
inference(avatar_contradiction_clause,[],[f1550]) ).
fof(f1550,plain,
( $false
| ~ spl2_12
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f1549]) ).
fof(f1549,plain,
( n7 != n7
| ~ spl2_12
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1548,f472]) ).
fof(f1548,plain,
( n7 != sum(n11,n17)
| ~ spl2_12
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1547,f243]) ).
fof(f1547,plain,
( sum(n11,n17) != sum(n14,n14)
| ~ spl2_12
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1546,f153]) ).
fof(f1546,plain,
( sum(n14,n14) != sum(n11,sum(n18,n20))
| ~ spl2_12
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1545,f656]) ).
fof(f1545,plain,
( sum(n11,sum(n18,n20)) != sum(sum(n15,n20),n14)
| ~ spl2_12
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1544,f604]) ).
fof(f1544,plain,
( sum(n11,sum(n18,n20)) != sum(sum(n15,n20),sum(n18,n17))
| ~ spl2_12
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1543,f508]) ).
fof(f1543,plain,
( sum(sum(n15,succ(n19)),sum(n18,n17)) != sum(n11,sum(n18,succ(n19)))
| ~ spl2_12
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1542,f350]) ).
fof(f1542,plain,
( sum(n11,sum(pred(n19),succ(n19))) != sum(sum(n15,succ(n19)),sum(pred(n19),n17))
| ~ spl2_12
| ~ spl2_31 ),
inference(backward_demodulation,[],[f1314,f747]) ).
fof(f1526,plain,
( ~ spl2_15
| ~ spl2_31 ),
inference(avatar_contradiction_clause,[],[f1525]) ).
fof(f1525,plain,
( $false
| ~ spl2_15
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f1524]) ).
fof(f1524,plain,
( n5 != n5
| ~ spl2_15
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1523,f84]) ).
fof(f1523,plain,
( n5 != sum(n11,n15)
| ~ spl2_15
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1522,f66]) ).
fof(f1522,plain,
( sum(n11,n15) != sum(n13,n13)
| ~ spl2_15
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1521,f82]) ).
fof(f1521,plain,
( sum(n11,n15) != sum(sum(n15,n19),n13)
| ~ spl2_15
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1520,f402]) ).
fof(f1520,plain,
( sum(sum(n15,n19),n13) != sum(n11,sum(n17,n19))
| ~ spl2_15
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1519,f40]) ).
fof(f1519,plain,
( sum(n11,sum(n17,succ(n18))) != sum(sum(n15,succ(n18)),n13)
| ~ spl2_15
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1518,f106]) ).
fof(f1518,plain,
( sum(n11,sum(n17,succ(n18))) != sum(sum(n15,succ(n18)),sum(n17,n17))
| ~ spl2_15
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1517,f651]) ).
fof(f1517,plain,
( sum(n11,sum(pred(n18),succ(n18))) != sum(sum(n15,succ(n18)),sum(pred(n18),n17))
| ~ spl2_15
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1314,f759]) ).
fof(f1503,plain,
( ~ spl2_21
| ~ spl2_31 ),
inference(avatar_contradiction_clause,[],[f1502]) ).
fof(f1502,plain,
( $false
| ~ spl2_21
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f1501]) ).
fof(f1501,plain,
( n20 != n20
| ~ spl2_21
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1500,f324]) ).
fof(f1500,plain,
( n20 != sum(n10,n10)
| ~ spl2_21
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1499,f305]) ).
fof(f1499,plain,
( sum(n10,n10) != sum(n11,n9)
| ~ spl2_21
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1498,f138]) ).
fof(f1498,plain,
( sum(n11,n9) != sum(sum(n15,n16),n10)
| ~ spl2_21
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1497,f170]) ).
fof(f1497,plain,
( sum(n11,n9) != sum(sum(n15,n16),sum(n14,n17))
| ~ spl2_21
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1496,f486]) ).
fof(f1496,plain,
( sum(sum(n15,n16),sum(n14,n17)) != sum(n11,sum(n14,n16))
| ~ spl2_21
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1495,f562]) ).
fof(f1495,plain,
( sum(sum(n15,n16),sum(pred(n15),n17)) != sum(n11,sum(pred(n15),n16))
| ~ spl2_21
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1494,f37]) ).
fof(f1494,plain,
( sum(sum(n15,succ(n15)),sum(pred(n15),n17)) != sum(n11,sum(pred(n15),succ(n15)))
| ~ spl2_21
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1314,f783]) ).
fof(f1488,plain,
( ~ spl2_1
| ~ spl2_31 ),
inference(avatar_contradiction_clause,[],[f1487]) ).
fof(f1487,plain,
( $false
| ~ spl2_1
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f1486]) ).
fof(f1486,plain,
( n17 != n17
| ~ spl2_1
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1485,f672]) ).
fof(f1485,plain,
( n17 != sum(n11,n6)
| ~ spl2_1
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1484,f210]) ).
fof(f1484,plain,
( sum(n11,n6) != sum(n19,n19)
| ~ spl2_1
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1483,f196]) ).
fof(f1483,plain,
( sum(n11,n6) != sum(sum(n15,n4),n19)
| ~ spl2_1
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1482,f484]) ).
fof(f1482,plain,
( sum(n11,n6) != sum(sum(n15,n4),sum(n2,n17))
| ~ spl2_1
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1481,f533]) ).
fof(f1481,plain,
( sum(sum(n15,n4),sum(n2,n17)) != sum(n11,sum(n2,n4))
| ~ spl2_1
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1480,f447]) ).
fof(f1480,plain,
( sum(sum(n15,succ(n3)),sum(n2,n17)) != sum(n11,sum(n2,succ(n3)))
| ~ spl2_1
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1479,f174]) ).
fof(f1479,plain,
( sum(n11,sum(pred(n3),succ(n3))) != sum(sum(n15,succ(n3)),sum(pred(n3),n17))
| ~ spl2_1
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1314,f703]) ).
fof(f1465,plain,
( ~ spl2_4
| ~ spl2_31 ),
inference(avatar_contradiction_clause,[],[f1464]) ).
fof(f1464,plain,
( $false
| ~ spl2_4
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f1463]) ).
fof(f1463,plain,
( n14 != n14
| ~ spl2_4
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1462,f395]) ).
fof(f1462,plain,
( n14 != sum(n7,n7)
| ~ spl2_4
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1461,f633]) ).
fof(f1461,plain,
( sum(n7,n7) != sum(n11,n3)
| ~ spl2_4
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1460,f120]) ).
fof(f1460,plain,
( sum(n11,n3) != sum(sum(n15,n13),n7)
| ~ spl2_4
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1459,f472]) ).
fof(f1459,plain,
( sum(n11,n3) != sum(sum(n15,n13),sum(n11,n17))
| ~ spl2_4
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1458,f125]) ).
fof(f1458,plain,
( sum(sum(n15,n13),sum(n11,n17)) != sum(n11,sum(n11,n13))
| ~ spl2_4
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1457,f347]) ).
fof(f1457,plain,
( sum(sum(n15,n13),sum(pred(n12),n17)) != sum(n11,sum(pred(n12),n13))
| ~ spl2_4
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1456,f278]) ).
fof(f1456,plain,
( sum(sum(n15,succ(n12)),sum(pred(n12),n17)) != sum(n11,sum(pred(n12),succ(n12)))
| ~ spl2_4
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1314,f715]) ).
fof(f1447,plain,
( ~ spl2_10
| ~ spl2_31 ),
inference(avatar_contradiction_clause,[],[f1446]) ).
fof(f1446,plain,
( $false
| ~ spl2_10
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f1445]) ).
fof(f1445,plain,
( n10 != n10
| ~ spl2_10
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1444,f230]) ).
fof(f1444,plain,
( n10 != sum(n5,n5)
| ~ spl2_10
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1443,f69]) ).
fof(f1443,plain,
( sum(n5,n5) != sum(n11,n20)
| ~ spl2_10
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1442,f171]) ).
fof(f1442,plain,
( sum(n11,n20) != sum(sum(n15,n11),n5)
| ~ spl2_10
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1441,f369]) ).
fof(f1441,plain,
( sum(n11,n20) != sum(sum(n15,n11),sum(n9,n17))
| ~ spl2_10
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1440,f16]) ).
fof(f1440,plain,
( sum(sum(n15,n11),sum(n9,n17)) != sum(n11,sum(n9,n11))
| ~ spl2_10
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1439,f693]) ).
fof(f1439,plain,
( sum(sum(n15,n11),sum(pred(n10),n17)) != sum(n11,sum(pred(n10),n11))
| ~ spl2_10
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1438,f114]) ).
fof(f1438,plain,
( sum(sum(n15,succ(n10)),sum(pred(n10),n17)) != sum(n11,sum(pred(n10),succ(n10)))
| ~ spl2_10
| ~ spl2_31 ),
inference(backward_demodulation,[],[f1314,f739]) ).
fof(f1428,plain,
( ~ spl2_17
| ~ spl2_31 ),
inference(avatar_contradiction_clause,[],[f1427]) ).
fof(f1427,plain,
( $false
| ~ spl2_17
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f1426]) ).
fof(f1426,plain,
( n13 != n13
| ~ spl2_17
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1425,f240]) ).
fof(f1425,plain,
( n13 != sum(n11,n2)
| ~ spl2_17
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1424,f106]) ).
fof(f1424,plain,
( sum(n11,n2) != sum(n17,n17)
| ~ spl2_17
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1423,f212]) ).
fof(f1423,plain,
( sum(n11,n2) != sum(sum(n15,n2),n17)
| ~ spl2_17
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1422,f356]) ).
fof(f1422,plain,
( sum(n11,n2) != sum(sum(n15,n2),sum(n0,n17))
| ~ spl2_17
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1421,f190]) ).
fof(f1421,plain,
( sum(sum(n15,n2),sum(n0,n17)) != sum(n11,sum(n0,n2))
| ~ spl2_17
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1420,f598]) ).
fof(f1420,plain,
( sum(sum(n15,n2),sum(pred(n1),n17)) != sum(n11,sum(pred(n1),n2))
| ~ spl2_17
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1419,f677]) ).
fof(f1419,plain,
( sum(sum(n15,succ(n1)),sum(pred(n1),n17)) != sum(n11,sum(pred(n1),succ(n1)))
| ~ spl2_17
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1314,f767]) ).
fof(f1405,plain,
( ~ spl2_14
| ~ spl2_31 ),
inference(avatar_contradiction_clause,[],[f1404]) ).
fof(f1404,plain,
( $false
| ~ spl2_14
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f1403]) ).
fof(f1403,plain,
( n2 != n2
| ~ spl2_14
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1402,f433]) ).
fof(f1402,plain,
( n2 != sum(n1,n1)
| ~ spl2_14
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1401,f417]) ).
fof(f1401,plain,
( sum(n1,n1) != sum(n11,n12)
| ~ spl2_14
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1400,f697]) ).
fof(f1400,plain,
( sum(n11,n12) != sum(sum(n15,n7),n1)
| ~ spl2_14
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1399,f544]) ).
fof(f1399,plain,
( sum(n11,n12) != sum(sum(n15,n7),sum(n5,n17))
| ~ spl2_14
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1398,f511]) ).
fof(f1398,plain,
( sum(sum(n15,n7),sum(n5,n17)) != sum(n11,sum(n5,n7))
| ~ spl2_14
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1397,f457]) ).
fof(f1397,plain,
( sum(sum(n15,succ(n6)),sum(n5,n17)) != sum(n11,sum(n5,succ(n6)))
| ~ spl2_14
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1396,f530]) ).
fof(f1396,plain,
( sum(n11,sum(pred(n6),succ(n6))) != sum(sum(n15,succ(n6)),sum(pred(n6),n17))
| ~ spl2_14
| ~ spl2_31 ),
inference(backward_demodulation,[],[f1314,f755]) ).
fof(f1389,plain,
( ~ spl2_19
| ~ spl2_31 ),
inference(avatar_contradiction_clause,[],[f1388]) ).
fof(f1388,plain,
( $false
| ~ spl2_19
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f1387]) ).
fof(f1387,plain,
( n15 != n15
| ~ spl2_19
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1386,f491]) ).
fof(f1386,plain,
( n15 != sum(n11,n4)
| ~ spl2_19
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1385,f679]) ).
fof(f1385,plain,
( sum(n11,n4) != sum(n18,n18)
| ~ spl2_19
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1384,f62]) ).
fof(f1384,plain,
( sum(n11,n4) != sum(sum(n15,n3),n18)
| ~ spl2_19
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1383,f141]) ).
fof(f1383,plain,
( sum(sum(n15,n3),n18) != sum(n11,sum(n1,n3))
| ~ spl2_19
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1382,f463]) ).
fof(f1382,plain,
( sum(n11,sum(n1,n3)) != sum(sum(n15,n3),sum(n1,n17))
| ~ spl2_19
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1381,f231]) ).
fof(f1381,plain,
( sum(sum(n15,n3),sum(pred(n2),n17)) != sum(n11,sum(pred(n2),n3))
| ~ spl2_19
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1380,f184]) ).
fof(f1380,plain,
( sum(sum(n15,succ(n2)),sum(pred(n2),n17)) != sum(n11,sum(pred(n2),succ(n2)))
| ~ spl2_19
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1314,f775]) ).
fof(f1375,plain,
( ~ spl2_5
| ~ spl2_31 ),
inference(avatar_contradiction_clause,[],[f1374]) ).
fof(f1374,plain,
( $false
| ~ spl2_5
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f1373]) ).
fof(f1373,plain,
( n4 != n4
| ~ spl2_5
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1372,f489]) ).
fof(f1372,plain,
( n4 != sum(n2,n2)
| ~ spl2_5
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1371,f460]) ).
fof(f1371,plain,
( sum(n2,n2) != sum(n11,n14)
| ~ spl2_5
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1370,f436]) ).
fof(f1370,plain,
( sum(n11,n14) != sum(sum(n15,n8),n2)
| ~ spl2_5
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1369,f443]) ).
fof(f1369,plain,
( sum(n11,n14) != sum(sum(n15,n8),sum(n6,n17))
| ~ spl2_5
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1368,f496]) ).
fof(f1368,plain,
( sum(sum(n15,n8),sum(n6,n17)) != sum(n11,sum(n6,n8))
| ~ spl2_5
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1367,f519]) ).
fof(f1367,plain,
( sum(n11,sum(pred(n7),n8)) != sum(sum(n15,n8),sum(pred(n7),n17))
| ~ spl2_5
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1365,f302]) ).
fof(f1365,plain,
( sum(sum(n15,succ(n7)),sum(pred(n7),n17)) != sum(n11,sum(pred(n7),succ(n7)))
| ~ spl2_5
| ~ spl2_31 ),
inference(backward_demodulation,[],[f1314,f719]) ).
fof(f1360,plain,
( ~ spl2_16
| ~ spl2_31 ),
inference(avatar_contradiction_clause,[],[f1359]) ).
fof(f1359,plain,
( $false
| ~ spl2_16
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f1358]) ).
fof(f1358,plain,
( n18 != n18
| ~ spl2_16
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1357,f357]) ).
fof(f1357,plain,
( n18 != sum(n9,n9)
| ~ spl2_16
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1356,f71]) ).
fof(f1356,plain,
( sum(n9,n9) != sum(n11,n7)
| ~ spl2_16
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1355,f318]) ).
fof(f1355,plain,
( sum(n11,n7) != sum(sum(n15,n15),n9)
| ~ spl2_16
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1354,f187]) ).
fof(f1354,plain,
( sum(sum(n15,n15),n9) != sum(n11,sum(n13,n15))
| ~ spl2_16
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1353,f325]) ).
fof(f1353,plain,
( sum(n11,sum(n13,n15)) != sum(sum(n15,n15),sum(n13,n17))
| ~ spl2_16
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1352,f454]) ).
fof(f1352,plain,
( sum(n11,sum(pred(n14),n15)) != sum(sum(n15,n15),sum(pred(n14),n17))
| ~ spl2_16
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1351,f217]) ).
fof(f1351,plain,
( sum(sum(n15,succ(n14)),sum(pred(n14),n17)) != sum(n11,sum(pred(n14),succ(n14)))
| ~ spl2_16
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1314,f763]) ).
fof(f1345,plain,
( ~ spl2_6
| ~ spl2_31 ),
inference(avatar_contradiction_clause,[],[f1344]) ).
fof(f1344,plain,
( $false
| ~ spl2_6
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f1343]) ).
fof(f1343,plain,
( n12 != n12
| ~ spl2_6
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1342,f316]) ).
fof(f1342,plain,
( n12 != sum(n6,n6)
| ~ spl2_6
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1341,f112]) ).
fof(f1341,plain,
( sum(n6,n6) != sum(n11,n1)
| ~ spl2_6
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1340,f222]) ).
fof(f1340,plain,
( sum(n11,n1) != sum(sum(n15,n12),n6)
| ~ spl2_6
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1339,f459]) ).
fof(f1339,plain,
( sum(n11,n1) != sum(sum(n15,n12),sum(n10,n17))
| ~ spl2_6
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1338,f21]) ).
fof(f1338,plain,
( sum(sum(n15,n12),sum(n10,n17)) != sum(n11,sum(n10,n12))
| ~ spl2_6
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1337,f641]) ).
fof(f1337,plain,
( sum(sum(n15,succ(n11)),sum(n10,n17)) != sum(n11,sum(n10,succ(n11)))
| ~ spl2_6
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1336,f266]) ).
fof(f1336,plain,
( sum(n11,sum(pred(n11),succ(n11))) != sum(sum(n15,succ(n11)),sum(pred(n11),n17))
| ~ spl2_6
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1314,f723]) ).
fof(f1335,plain,
( ~ spl2_11
| ~ spl2_31 ),
inference(avatar_contradiction_clause,[],[f1334]) ).
fof(f1334,plain,
( $false
| ~ spl2_11
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f1333]) ).
fof(f1333,plain,
( sum(n11,n11) != sum(n11,n11)
| ~ spl2_11
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1332,f383]) ).
fof(f1332,plain,
( sum(n11,sum(n15,n17)) != sum(sum(n15,n17),sum(n15,n17))
| ~ spl2_11
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1331,f418]) ).
fof(f1331,plain,
( sum(sum(n15,n17),sum(pred(n16),n17)) != sum(n11,sum(pred(n16),n17))
| ~ spl2_11
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1330,f233]) ).
fof(f1330,plain,
( sum(sum(n15,succ(n16)),sum(pred(n16),n17)) != sum(n11,sum(pred(n16),succ(n16)))
| ~ spl2_11
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1314,f743]) ).
fof(f1325,plain,
( ~ spl2_8
| ~ spl2_31 ),
inference(avatar_contradiction_clause,[],[f1324]) ).
fof(f1324,plain,
( $false
| ~ spl2_8
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f1323]) ).
fof(f1323,plain,
( n9 != n9
| ~ spl2_8
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1322,f4]) ).
fof(f1322,plain,
( n9 != sum(n11,n19)
| ~ spl2_8
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1321,f318]) ).
fof(f1321,plain,
( sum(n11,n19) != sum(n15,n15)
| ~ spl2_8
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1320,f292]) ).
fof(f1320,plain,
( sum(n11,n19) != sum(sum(n15,n0),n15)
| ~ spl2_8
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1319,f337]) ).
fof(f1319,plain,
( sum(n11,n19) != sum(sum(n15,n0),sum(n19,n17))
| ~ spl2_8
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1318,f323]) ).
fof(f1318,plain,
( sum(sum(n15,n0),sum(n19,n17)) != sum(n11,sum(n19,n0))
| ~ spl2_8
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1317,f214]) ).
fof(f1317,plain,
( sum(n11,sum(pred(n20),n0)) != sum(sum(n15,n0),sum(pred(n20),n17))
| ~ spl2_8
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1315,f580]) ).
fof(f1315,plain,
( sum(sum(n15,succ(n20)),sum(pred(n20),n17)) != sum(n11,sum(pred(n20),succ(n20)))
| ~ spl2_8
| ~ spl2_31 ),
inference(backward_demodulation,[],[f1314,f731]) ).
fof(f1283,plain,
( ~ spl2_2
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f1282]) ).
fof(f1282,plain,
( $false
| ~ spl2_2
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f1281]) ).
fof(f1281,plain,
( n17 != n17
| ~ spl2_2
| ~ spl2_42 ),
inference(forward_demodulation,[],[f1280,f210]) ).
fof(f1280,plain,
( n17 != sum(n19,n19)
| ~ spl2_2
| ~ spl2_42 ),
inference(forward_demodulation,[],[f1279,f13]) ).
fof(f1279,plain,
( sum(n19,n19) != sum(n20,n18)
| ~ spl2_2
| ~ spl2_42 ),
inference(forward_demodulation,[],[f1278,f16]) ).
fof(f1278,plain,
( sum(n19,n19) != sum(sum(n9,n11),n18)
| ~ spl2_2
| ~ spl2_42 ),
inference(forward_demodulation,[],[f1277,f61]) ).
fof(f1277,plain,
( sum(sum(n9,n11),n18) != sum(sum(n9,n10),n19)
| ~ spl2_2
| ~ spl2_42 ),
inference(forward_demodulation,[],[f1276,f698]) ).
fof(f1276,plain,
( sum(sum(n9,n11),n18) != sum(sum(n9,n10),sum(n8,n11))
| ~ spl2_2
| ~ spl2_42 ),
inference(forward_demodulation,[],[f1275,f693]) ).
fof(f1275,plain,
( sum(sum(pred(n10),n10),sum(n8,n11)) != sum(sum(pred(n10),n11),n18)
| ~ spl2_2
| ~ spl2_42 ),
inference(forward_demodulation,[],[f1274,f114]) ).
fof(f1274,plain,
( sum(sum(pred(n10),succ(n10)),n18) != sum(sum(pred(n10),n10),sum(n8,succ(n10)))
| ~ spl2_2
| ~ spl2_42 ),
inference(backward_demodulation,[],[f887,f868]) ).
fof(f887,plain,
( sum(sum(pred(sK0),n10),sum(n8,succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),n18)
| ~ spl2_2 ),
inference(forward_demodulation,[],[f886,f391]) ).
fof(f886,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(n8,n10)) != sum(sum(pred(sK0),n10),sum(n8,succ(sK0)))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f885,f333]) ).
fof(f885,plain,
( sum(sum(pred(sK0),succ(sK0)),sum(pred(n9),n10)) != sum(sum(pred(sK0),n10),sum(pred(n9),succ(sK0)))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f884,f699]) ).
fof(f884,plain,
( sum(sum(pred(sK0),succ(n9)),sum(pred(n9),succ(sK0))) != sum(sum(pred(sK0),succ(sK0)),sum(pred(n9),succ(n9)))
| ~ spl2_2 ),
inference(forward_demodulation,[],[f346,f707]) ).
fof(f707,plain,
( n9 = sK1
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f705,plain,
( spl2_2
<=> n9 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f1258,plain,
( ~ spl2_2
| ~ spl2_41 ),
inference(avatar_contradiction_clause,[],[f1257]) ).
fof(f1257,plain,
( $false
| ~ spl2_2
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f1256]) ).
fof(f1256,plain,
( n10 != n10
| ~ spl2_2
| ~ spl2_41 ),
inference(forward_demodulation,[],[f1255,f230]) ).
fof(f1255,plain,
( n10 != sum(n5,n5)
| ~ spl2_2
| ~ spl2_41 ),
inference(forward_demodulation,[],[f1254,f597]) ).
fof(f1254,plain,
( sum(n5,n5) != sum(n13,n18)
| ~ spl2_2
| ~ spl2_41 ),
inference(forward_demodulation,[],[f1253,f123]) ).
fof(f1253,plain,
( sum(n5,n5) != sum(sum(n16,n18),n18)
| ~ spl2_2
| ~ spl2_41 ),
inference(forward_demodulation,[],[f1252,f327]) ).
fof(f1252,plain,
( sum(sum(n16,n18),n18) != sum(sum(n16,n10),n5)
| ~ spl2_2
| ~ spl2_41 ),
inference(forward_demodulation,[],[f1251,f288]) ).
fof(f1251,plain,
( sum(sum(pred(n17),n18),n18) != sum(sum(pred(n17),n10),n5)
| ~ spl2_2
| ~ spl2_41 ),
inference(forward_demodulation,[],[f1250,f535]) ).
fof(f1250,plain,
( sum(sum(pred(n17),n18),n18) != sum(sum(pred(n17),n10),sum(n8,n18))
| ~ spl2_2
| ~ spl2_41 ),
inference(forward_demodulation,[],[f1249,f657]) ).
fof(f1249,plain,
( sum(sum(pred(n17),succ(n17)),n18) != sum(sum(pred(n17),n10),sum(n8,succ(n17)))
| ~ spl2_2
| ~ spl2_41 ),
inference(backward_demodulation,[],[f887,f864]) ).
fof(f1222,plain,
( ~ spl2_2
| ~ spl2_40 ),
inference(avatar_contradiction_clause,[],[f1221]) ).
fof(f1221,plain,
( $false
| ~ spl2_2
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f1220]) ).
fof(f1220,plain,
( n12 != n12
| ~ spl2_2
| ~ spl2_40 ),
inference(forward_demodulation,[],[f1219,f316]) ).
fof(f1219,plain,
( n12 != sum(n6,n6)
| ~ spl2_2
| ~ spl2_40 ),
inference(forward_demodulation,[],[f1218,f312]) ).
fof(f1218,plain,
( sum(n6,n6) != sum(n15,n18)
| ~ spl2_2
| ~ spl2_40 ),
inference(forward_demodulation,[],[f1217,f8]) ).
fof(f1217,plain,
( sum(n15,n18) != sum(sum(n17,n10),n6)
| ~ spl2_2
| ~ spl2_40 ),
inference(forward_demodulation,[],[f1216,f167]) ).
fof(f1216,plain,
( sum(n15,n18) != sum(sum(n17,n10),sum(n8,n19))
| ~ spl2_2
| ~ spl2_40 ),
inference(forward_demodulation,[],[f1215,f402]) ).
fof(f1215,plain,
( sum(sum(n17,n10),sum(n8,n19)) != sum(sum(n17,n19),n18)
| ~ spl2_2
| ~ spl2_40 ),
inference(forward_demodulation,[],[f1214,f651]) ).
fof(f1214,plain,
( sum(sum(pred(n18),n10),sum(n8,n19)) != sum(sum(pred(n18),n19),n18)
| ~ spl2_2
| ~ spl2_40 ),
inference(forward_demodulation,[],[f1213,f40]) ).
fof(f1213,plain,
( sum(sum(pred(n18),succ(n18)),n18) != sum(sum(pred(n18),n10),sum(n8,succ(n18)))
| ~ spl2_2
| ~ spl2_40 ),
inference(backward_demodulation,[],[f887,f860]) ).
fof(f1201,plain,
( ~ spl2_2
| ~ spl2_39 ),
inference(avatar_contradiction_clause,[],[f1200]) ).
fof(f1200,plain,
( $false
| ~ spl2_2
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f1199]) ).
fof(f1199,plain,
( n5 != n5
| ~ spl2_2
| ~ spl2_39 ),
inference(forward_demodulation,[],[f1198,f535]) ).
fof(f1198,plain,
( n5 != sum(n8,n18)
| ~ spl2_2
| ~ spl2_39 ),
inference(forward_demodulation,[],[f1197,f66]) ).
fof(f1197,plain,
( sum(n8,n18) != sum(n13,n13)
| ~ spl2_2
| ~ spl2_39 ),
inference(forward_demodulation,[],[f1196,f670]) ).
fof(f1196,plain,
( sum(n13,n13) != sum(sum(n3,n5),n18)
| ~ spl2_2
| ~ spl2_39 ),
inference(forward_demodulation,[],[f1195,f245]) ).
fof(f1195,plain,
( sum(sum(n3,n5),n18) != sum(sum(n3,n10),n13)
| ~ spl2_2
| ~ spl2_39 ),
inference(forward_demodulation,[],[f1194,f688]) ).
fof(f1194,plain,
( sum(sum(pred(n4),n5),n18) != sum(sum(pred(n4),n10),n13)
| ~ spl2_2
| ~ spl2_39 ),
inference(forward_demodulation,[],[f1193,f36]) ).
fof(f1193,plain,
( sum(sum(pred(n4),n5),n18) != sum(sum(pred(n4),n10),sum(n8,n5))
| ~ spl2_2
| ~ spl2_39 ),
inference(forward_demodulation,[],[f1192,f567]) ).
fof(f1192,plain,
( sum(sum(pred(n4),n10),sum(n8,succ(n4))) != sum(sum(pred(n4),succ(n4)),n18)
| ~ spl2_2
| ~ spl2_39 ),
inference(forward_demodulation,[],[f887,f856]) ).
fof(f1177,plain,
( ~ spl2_2
| ~ spl2_38 ),
inference(avatar_contradiction_clause,[],[f1176]) ).
fof(f1176,plain,
( $false
| ~ spl2_2
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f1175]) ).
fof(f1175,plain,
( n20 != n20
| ~ spl2_2
| ~ spl2_38 ),
inference(forward_demodulation,[],[f1174,f131]) ).
fof(f1174,plain,
( n20 != sum(n2,n18)
| ~ spl2_2
| ~ spl2_38 ),
inference(forward_demodulation,[],[f1173,f324]) ).
fof(f1173,plain,
( sum(n2,n18) != sum(n10,n10)
| ~ spl2_2
| ~ spl2_38 ),
inference(forward_demodulation,[],[f1172,f54]) ).
fof(f1172,plain,
( sum(n2,n18) != sum(sum(n0,n10),n10)
| ~ spl2_2
| ~ spl2_38 ),
inference(forward_demodulation,[],[f1171,f393]) ).
fof(f1171,plain,
( sum(n2,n18) != sum(sum(n0,n10),sum(n8,n2))
| ~ spl2_2
| ~ spl2_38 ),
inference(forward_demodulation,[],[f1170,f190]) ).
fof(f1170,plain,
( sum(sum(n0,n10),sum(n8,n2)) != sum(sum(n0,n2),n18)
| ~ spl2_2
| ~ spl2_38 ),
inference(forward_demodulation,[],[f1169,f598]) ).
fof(f1169,plain,
( sum(sum(pred(n1),n10),sum(n8,n2)) != sum(sum(pred(n1),n2),n18)
| ~ spl2_2
| ~ spl2_38 ),
inference(forward_demodulation,[],[f1168,f677]) ).
fof(f1168,plain,
( sum(sum(pred(n1),succ(n1)),n18) != sum(sum(pred(n1),n10),sum(n8,succ(n1)))
| ~ spl2_2
| ~ spl2_38 ),
inference(backward_demodulation,[],[f887,f852]) ).
fof(f1141,plain,
( ~ spl2_2
| ~ spl2_37 ),
inference(avatar_contradiction_clause,[],[f1140]) ).
fof(f1140,plain,
( $false
| ~ spl2_2
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f1139]) ).
fof(f1139,plain,
( n14 != n14
| ~ spl2_2
| ~ spl2_37 ),
inference(forward_demodulation,[],[f1138,f395]) ).
fof(f1138,plain,
( n14 != sum(n7,n7)
| ~ spl2_2
| ~ spl2_37 ),
inference(forward_demodulation,[],[f1137,f376]) ).
fof(f1137,plain,
( sum(n7,n7) != sum(n17,n18)
| ~ spl2_2
| ~ spl2_37 ),
inference(forward_demodulation,[],[f1136,f520]) ).
fof(f1136,plain,
( sum(n17,n18) != sum(sum(n18,n10),n7)
| ~ spl2_2
| ~ spl2_37 ),
inference(forward_demodulation,[],[f1135,f218]) ).
fof(f1135,plain,
( sum(n17,n18) != sum(sum(n18,n10),sum(n8,n20))
| ~ spl2_2
| ~ spl2_37 ),
inference(forward_demodulation,[],[f1134,f153]) ).
fof(f1134,plain,
( sum(sum(n18,n10),sum(n8,n20)) != sum(sum(n18,n20),n18)
| ~ spl2_2
| ~ spl2_37 ),
inference(forward_demodulation,[],[f1133,f350]) ).
fof(f1133,plain,
( sum(sum(pred(n19),n10),sum(n8,n20)) != sum(sum(pred(n19),n20),n18)
| ~ spl2_2
| ~ spl2_37 ),
inference(forward_demodulation,[],[f1132,f508]) ).
fof(f1132,plain,
( sum(sum(pred(n19),succ(n19)),n18) != sum(sum(pred(n19),n10),sum(n8,succ(n19)))
| ~ spl2_2
| ~ spl2_37 ),
inference(forward_demodulation,[],[f887,f848]) ).
fof(f1124,plain,
( ~ spl2_2
| ~ spl2_36 ),
inference(avatar_contradiction_clause,[],[f1123]) ).
fof(f1123,plain,
( $false
| ~ spl2_2
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f1122]) ).
fof(f1122,plain,
( sum(n18,n18) != sum(n18,n18)
| ~ spl2_2
| ~ spl2_36 ),
inference(forward_demodulation,[],[f1121,f391]) ).
fof(f1121,plain,
( sum(sum(n8,n10),n18) != sum(sum(n8,n10),sum(n8,n10))
| ~ spl2_2
| ~ spl2_36 ),
inference(forward_demodulation,[],[f1120,f333]) ).
fof(f1120,plain,
( sum(sum(pred(n9),n10),sum(n8,n10)) != sum(sum(pred(n9),n10),n18)
| ~ spl2_2
| ~ spl2_36 ),
inference(forward_demodulation,[],[f1119,f699]) ).
fof(f1119,plain,
( sum(sum(pred(n9),n10),sum(n8,succ(n9))) != sum(sum(pred(n9),succ(n9)),n18)
| ~ spl2_2
| ~ spl2_36 ),
inference(backward_demodulation,[],[f887,f844]) ).
fof(f1106,plain,
( ~ spl2_2
| ~ spl2_35 ),
inference(avatar_contradiction_clause,[],[f1105]) ).
fof(f1105,plain,
( $false
| ~ spl2_2
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f1104]) ).
fof(f1104,plain,
( n4 != n4
| ~ spl2_2
| ~ spl2_35 ),
inference(forward_demodulation,[],[f1103,f489]) ).
fof(f1103,plain,
( n4 != sum(n2,n2)
| ~ spl2_2
| ~ spl2_35 ),
inference(forward_demodulation,[],[f1102,f469]) ).
fof(f1102,plain,
( sum(n2,n2) != sum(n7,n18)
| ~ spl2_2
| ~ spl2_35 ),
inference(forward_demodulation,[],[f1101,f512]) ).
fof(f1101,plain,
( sum(n7,n18) != sum(sum(n13,n10),n2)
| ~ spl2_2
| ~ spl2_35 ),
inference(forward_demodulation,[],[f1100,f128]) ).
fof(f1100,plain,
( sum(n7,n18) != sum(sum(n13,n10),sum(n8,n15))
| ~ spl2_2
| ~ spl2_35 ),
inference(forward_demodulation,[],[f1099,f187]) ).
fof(f1099,plain,
( sum(sum(n13,n10),sum(n8,n15)) != sum(sum(n13,n15),n18)
| ~ spl2_2
| ~ spl2_35 ),
inference(forward_demodulation,[],[f1098,f454]) ).
fof(f1098,plain,
( sum(sum(pred(n14),n10),sum(n8,n15)) != sum(sum(pred(n14),n15),n18)
| ~ spl2_2
| ~ spl2_35 ),
inference(forward_demodulation,[],[f1097,f217]) ).
fof(f1097,plain,
( sum(sum(pred(n14),succ(n14)),n18) != sum(sum(pred(n14),n10),sum(n8,succ(n14)))
| ~ spl2_2
| ~ spl2_35 ),
inference(forward_demodulation,[],[f887,f840]) ).
fof(f1085,plain,
( ~ spl2_2
| ~ spl2_34 ),
inference(avatar_contradiction_clause,[],[f1084]) ).
fof(f1084,plain,
( $false
| ~ spl2_2
| ~ spl2_34 ),
inference(trivial_inequality_removal,[],[f1083]) ).
fof(f1083,plain,
( n18 != n18
| ~ spl2_2
| ~ spl2_34 ),
inference(forward_demodulation,[],[f1082,f366]) ).
fof(f1082,plain,
( n18 != sum(n0,n18)
| ~ spl2_2
| ~ spl2_34 ),
inference(forward_demodulation,[],[f1081,f357]) ).
fof(f1081,plain,
( sum(n0,n18) != sum(n9,n9)
| ~ spl2_2
| ~ spl2_34 ),
inference(forward_demodulation,[],[f1080,f232]) ).
fof(f1080,plain,
( sum(n0,n18) != sum(sum(n20,n10),n9)
| ~ spl2_2
| ~ spl2_34 ),
inference(forward_demodulation,[],[f1079,f510]) ).
fof(f1079,plain,
( sum(sum(n20,n10),n9) != sum(sum(n20,n1),n18)
| ~ spl2_2
| ~ spl2_34 ),
inference(forward_demodulation,[],[f1078,f358]) ).
fof(f1078,plain,
( sum(sum(pred(n0),n1),n18) != sum(sum(pred(n0),n10),n9)
| ~ spl2_2
| ~ spl2_34 ),
inference(forward_demodulation,[],[f1077,f638]) ).
fof(f1077,plain,
( sum(sum(pred(n0),n1),n18) != sum(sum(pred(n0),n10),sum(n8,n1))
| ~ spl2_2
| ~ spl2_34 ),
inference(forward_demodulation,[],[f1076,f192]) ).
fof(f1076,plain,
( sum(sum(pred(n0),succ(n0)),n18) != sum(sum(pred(n0),n10),sum(n8,succ(n0)))
| ~ spl2_2
| ~ spl2_34 ),
inference(backward_demodulation,[],[f887,f836]) ).
fof(f1063,plain,
( ~ spl2_2
| ~ spl2_33 ),
inference(avatar_contradiction_clause,[],[f1062]) ).
fof(f1062,plain,
( $false
| ~ spl2_2
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f1061]) ).
fof(f1061,plain,
( n2 != n2
| ~ spl2_2
| ~ spl2_33 ),
inference(forward_demodulation,[],[f1060,f433]) ).
fof(f1060,plain,
( n2 != sum(n1,n1)
| ~ spl2_2
| ~ spl2_33 ),
inference(forward_demodulation,[],[f1059,f577]) ).
fof(f1059,plain,
( sum(n1,n1) != sum(n5,n18)
| ~ spl2_2
| ~ spl2_33 ),
inference(forward_demodulation,[],[f1058,f440]) ).
fof(f1058,plain,
( sum(n5,n18) != sum(sum(n12,n10),n1)
| ~ spl2_2
| ~ spl2_33 ),
inference(forward_demodulation,[],[f1057,f610]) ).
fof(f1057,plain,
( sum(sum(n12,n10),n1) != sum(sum(n12,n14),n18)
| ~ spl2_2
| ~ spl2_33 ),
inference(forward_demodulation,[],[f1056,f225]) ).
fof(f1056,plain,
( sum(sum(pred(n13),n14),n18) != sum(sum(pred(n13),n10),n1)
| ~ spl2_2
| ~ spl2_33 ),
inference(forward_demodulation,[],[f1055,f658]) ).
fof(f1055,plain,
( sum(sum(pred(n13),n14),n18) != sum(sum(pred(n13),n10),sum(n8,n14))
| ~ spl2_2
| ~ spl2_33 ),
inference(forward_demodulation,[],[f1054,f502]) ).
fof(f1054,plain,
( sum(sum(pred(n13),succ(n13)),n18) != sum(sum(pred(n13),n10),sum(n8,succ(n13)))
| ~ spl2_2
| ~ spl2_33 ),
inference(forward_demodulation,[],[f887,f832]) ).
fof(f1037,plain,
( ~ spl2_2
| ~ spl2_32 ),
inference(avatar_contradiction_clause,[],[f1036]) ).
fof(f1036,plain,
( $false
| ~ spl2_2
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f1035]) ).
fof(f1035,plain,
( n7 != n7
| ~ spl2_2
| ~ spl2_32 ),
inference(forward_demodulation,[],[f1034,f295]) ).
fof(f1034,plain,
( n7 != sum(n10,n18)
| ~ spl2_2
| ~ spl2_32 ),
inference(forward_demodulation,[],[f1033,f243]) ).
fof(f1033,plain,
( sum(n10,n18) != sum(n14,n14)
| ~ spl2_2
| ~ spl2_32 ),
inference(forward_demodulation,[],[f1032,f640]) ).
fof(f1032,plain,
( sum(n10,n18) != sum(sum(n4,n10),n14)
| ~ spl2_2
| ~ spl2_32 ),
inference(forward_demodulation,[],[f1031,f44]) ).
fof(f1031,plain,
( sum(n10,n18) != sum(sum(n4,n10),sum(n8,n6))
| ~ spl2_2
| ~ spl2_32 ),
inference(forward_demodulation,[],[f1030,f464]) ).
fof(f1030,plain,
( sum(sum(n4,n10),sum(n8,n6)) != sum(sum(n4,n6),n18)
| ~ spl2_2
| ~ spl2_32 ),
inference(forward_demodulation,[],[f1029,f126]) ).
fof(f1029,plain,
( sum(sum(pred(n5),n10),sum(n8,n6)) != sum(sum(pred(n5),n6),n18)
| ~ spl2_2
| ~ spl2_32 ),
inference(forward_demodulation,[],[f1025,f692]) ).
fof(f1025,plain,
( sum(sum(pred(n5),succ(n5)),n18) != sum(sum(pred(n5),n10),sum(n8,succ(n5)))
| ~ spl2_2
| ~ spl2_32 ),
inference(backward_demodulation,[],[f887,f828]) ).
fof(f1016,plain,
( ~ spl2_2
| ~ spl2_31 ),
inference(avatar_contradiction_clause,[],[f1015]) ).
fof(f1015,plain,
( $false
| ~ spl2_2
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f1014]) ).
fof(f1014,plain,
( n8 != n8
| ~ spl2_2
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1013,f157]) ).
fof(f1013,plain,
( n8 != sum(n4,n4)
| ~ spl2_2
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1012,f422]) ).
fof(f1012,plain,
( sum(n4,n4) != sum(n11,n18)
| ~ spl2_2
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1011,f383]) ).
fof(f1011,plain,
( sum(n4,n4) != sum(sum(n15,n17),n18)
| ~ spl2_2
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1010,f229]) ).
fof(f1010,plain,
( sum(sum(n15,n17),n18) != sum(sum(n15,n10),n4)
| ~ spl2_2
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1009,f418]) ).
fof(f1009,plain,
( sum(sum(pred(n16),n17),n18) != sum(sum(pred(n16),n10),n4)
| ~ spl2_2
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1008,f616]) ).
fof(f1008,plain,
( sum(sum(pred(n16),n17),n18) != sum(sum(pred(n16),n10),sum(n8,n17))
| ~ spl2_2
| ~ spl2_31 ),
inference(forward_demodulation,[],[f1007,f233]) ).
fof(f1007,plain,
( sum(sum(pred(n16),n10),sum(n8,succ(n16))) != sum(sum(pred(n16),succ(n16)),n18)
| ~ spl2_2
| ~ spl2_31 ),
inference(forward_demodulation,[],[f887,f824]) ).
fof(f1001,plain,
( ~ spl2_2
| ~ spl2_30 ),
inference(avatar_contradiction_clause,[],[f1000]) ).
fof(f1000,plain,
( $false
| ~ spl2_2
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f999]) ).
fof(f999,plain,
( n11 != n11
| ~ spl2_2
| ~ spl2_30 ),
inference(forward_demodulation,[],[f998,f339]) ).
fof(f998,plain,
( n11 != sum(n14,n18)
| ~ spl2_2
| ~ spl2_30 ),
inference(forward_demodulation,[],[f997,f193]) ).
fof(f997,plain,
( sum(n14,n18) != sum(n16,n16)
| ~ spl2_2
| ~ spl2_30 ),
inference(forward_demodulation,[],[f996,f496]) ).
fof(f996,plain,
( sum(n16,n16) != sum(sum(n6,n8),n18)
| ~ spl2_2
| ~ spl2_30 ),
inference(forward_demodulation,[],[f995,f263]) ).
fof(f995,plain,
( sum(sum(n6,n8),n18) != sum(sum(n6,n10),n16)
| ~ spl2_2
| ~ spl2_30 ),
inference(forward_demodulation,[],[f994,f177]) ).
fof(f994,plain,
( sum(sum(n6,n8),n18) != sum(sum(n6,n10),sum(n8,n8))
| ~ spl2_2
| ~ spl2_30 ),
inference(forward_demodulation,[],[f993,f519]) ).
fof(f993,plain,
( sum(sum(pred(n7),n10),sum(n8,n8)) != sum(sum(pred(n7),n8),n18)
| ~ spl2_2
| ~ spl2_30 ),
inference(forward_demodulation,[],[f992,f302]) ).
fof(f992,plain,
( sum(sum(pred(n7),n10),sum(n8,succ(n7))) != sum(sum(pred(n7),succ(n7)),n18)
| ~ spl2_2
| ~ spl2_30 ),
inference(forward_demodulation,[],[f887,f820]) ).
fof(f984,plain,
( ~ spl2_2
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f983]) ).
fof(f983,plain,
( $false
| ~ spl2_2
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f982]) ).
fof(f982,plain,
( n3 != n3
| ~ spl2_2
| ~ spl2_29 ),
inference(forward_demodulation,[],[f981,f52]) ).
fof(f981,plain,
( n3 != sum(n6,n18)
| ~ spl2_2
| ~ spl2_29 ),
inference(forward_demodulation,[],[f980,f546]) ).
fof(f980,plain,
( sum(n6,n18) != sum(n12,n12)
| ~ spl2_2
| ~ spl2_29 ),
inference(forward_demodulation,[],[f979,f533]) ).
fof(f979,plain,
( sum(n12,n12) != sum(sum(n2,n4),n18)
| ~ spl2_2
| ~ spl2_29 ),
inference(forward_demodulation,[],[f978,f639]) ).
fof(f978,plain,
( sum(sum(n2,n4),n18) != sum(sum(n2,n10),n12)
| ~ spl2_2
| ~ spl2_29 ),
inference(forward_demodulation,[],[f977,f174]) ).
fof(f977,plain,
( sum(sum(pred(n3),n10),n12) != sum(sum(pred(n3),n4),n18)
| ~ spl2_2
| ~ spl2_29 ),
inference(forward_demodulation,[],[f976,f378]) ).
fof(f976,plain,
( sum(sum(pred(n3),n4),n18) != sum(sum(pred(n3),n10),sum(n8,n4))
| ~ spl2_2
| ~ spl2_29 ),
inference(forward_demodulation,[],[f975,f447]) ).
fof(f975,plain,
( sum(sum(pred(n3),succ(n3)),n18) != sum(sum(pred(n3),n10),sum(n8,succ(n3)))
| ~ spl2_2
| ~ spl2_29 ),
inference(backward_demodulation,[],[f887,f816]) ).
fof(f963,plain,
( ~ spl2_2
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f962]) ).
fof(f962,plain,
( $false
| ~ spl2_2
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f961]) ).
fof(f961,plain,
( n9 != n9
| ~ spl2_2
| ~ spl2_28 ),
inference(forward_demodulation,[],[f960,f221]) ).
fof(f960,plain,
( n9 != sum(n12,n18)
| ~ spl2_2
| ~ spl2_28 ),
inference(forward_demodulation,[],[f959,f318]) ).
fof(f959,plain,
( sum(n12,n18) != sum(n15,n15)
| ~ spl2_2
| ~ spl2_28 ),
inference(forward_demodulation,[],[f958,f145]) ).
fof(f958,plain,
( sum(n12,n18) != sum(sum(n5,n10),n15)
| ~ spl2_2
| ~ spl2_28 ),
inference(forward_demodulation,[],[f957,f34]) ).
fof(f957,plain,
( sum(n12,n18) != sum(sum(n5,n10),sum(n8,n7))
| ~ spl2_2
| ~ spl2_28 ),
inference(forward_demodulation,[],[f956,f511]) ).
fof(f956,plain,
( sum(sum(n5,n10),sum(n8,n7)) != sum(sum(n5,n7),n18)
| ~ spl2_2
| ~ spl2_28 ),
inference(forward_demodulation,[],[f955,f530]) ).
fof(f955,plain,
( sum(sum(pred(n6),n10),sum(n8,n7)) != sum(sum(pred(n6),n7),n18)
| ~ spl2_2
| ~ spl2_28 ),
inference(forward_demodulation,[],[f954,f457]) ).
fof(f954,plain,
( sum(sum(pred(n6),succ(n6)),n18) != sum(sum(pred(n6),n10),sum(n8,succ(n6)))
| ~ spl2_2
| ~ spl2_28 ),
inference(forward_demodulation,[],[f887,f812]) ).
fof(f952,plain,
( ~ spl2_2
| ~ spl2_27 ),
inference(avatar_contradiction_clause,[],[f951]) ).
fof(f951,plain,
( $false
| ~ spl2_2
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f950]) ).
fof(f950,plain,
( n19 != n19
| ~ spl2_2
| ~ spl2_27 ),
inference(forward_demodulation,[],[f949,f132]) ).
fof(f949,plain,
( n19 != sum(n1,n18)
| ~ spl2_2
| ~ spl2_27 ),
inference(forward_demodulation,[],[f948,f119]) ).
fof(f948,plain,
( sum(n1,n18) != sum(n20,n20)
| ~ spl2_2
| ~ spl2_27 ),
inference(forward_demodulation,[],[f947,f324]) ).
fof(f947,plain,
( sum(n1,n18) != sum(sum(n10,n10),n20)
| ~ spl2_2
| ~ spl2_27 ),
inference(forward_demodulation,[],[f946,f336]) ).
fof(f946,plain,
( sum(n1,n18) != sum(sum(n10,n10),sum(n8,n12))
| ~ spl2_2
| ~ spl2_27 ),
inference(forward_demodulation,[],[f945,f21]) ).
fof(f945,plain,
( sum(sum(n10,n10),sum(n8,n12)) != sum(sum(n10,n12),n18)
| ~ spl2_2
| ~ spl2_27 ),
inference(forward_demodulation,[],[f944,f266]) ).
fof(f944,plain,
( sum(sum(pred(n11),n10),sum(n8,n12)) != sum(sum(pred(n11),n12),n18)
| ~ spl2_2
| ~ spl2_27 ),
inference(forward_demodulation,[],[f943,f641]) ).
fof(f943,plain,
( sum(sum(pred(n11),n10),sum(n8,succ(n11))) != sum(sum(pred(n11),succ(n11)),n18)
| ~ spl2_2
| ~ spl2_27 ),
inference(backward_demodulation,[],[f887,f808]) ).
fof(f936,plain,
( ~ spl2_2
| ~ spl2_26 ),
inference(avatar_contradiction_clause,[],[f935]) ).
fof(f935,plain,
( $false
| ~ spl2_2
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f934]) ).
fof(f934,plain,
( n16 != n16
| ~ spl2_2
| ~ spl2_26 ),
inference(forward_demodulation,[],[f933,f177]) ).
fof(f933,plain,
( n16 != sum(n8,n8)
| ~ spl2_2
| ~ spl2_26 ),
inference(forward_demodulation,[],[f932,f572]) ).
fof(f932,plain,
( sum(n8,n8) != sum(n19,n18)
| ~ spl2_2
| ~ spl2_26 ),
inference(forward_demodulation,[],[f931,f323]) ).
fof(f931,plain,
( sum(n8,n8) != sum(sum(n19,n0),n18)
| ~ spl2_2
| ~ spl2_26 ),
inference(forward_demodulation,[],[f930,f273]) ).
fof(f930,plain,
( sum(sum(n19,n0),n18) != sum(sum(n19,n10),n8)
| ~ spl2_2
| ~ spl2_26 ),
inference(forward_demodulation,[],[f929,f41]) ).
fof(f929,plain,
( sum(sum(n19,n0),n18) != sum(sum(n19,n10),sum(n8,n0))
| ~ spl2_2
| ~ spl2_26 ),
inference(forward_demodulation,[],[f928,f214]) ).
fof(f928,plain,
( sum(sum(pred(n20),n10),sum(n8,n0)) != sum(sum(pred(n20),n0),n18)
| ~ spl2_2
| ~ spl2_26 ),
inference(forward_demodulation,[],[f927,f580]) ).
fof(f927,plain,
( sum(sum(pred(n20),succ(n20)),n18) != sum(sum(pred(n20),n10),sum(n8,succ(n20)))
| ~ spl2_2
| ~ spl2_26 ),
inference(forward_demodulation,[],[f887,f804]) ).
fof(f922,plain,
( ~ spl2_2
| ~ spl2_25 ),
inference(avatar_contradiction_clause,[],[f921]) ).
fof(f921,plain,
( $false
| ~ spl2_2
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f920]) ).
fof(f920,plain,
( n6 != n6
| ~ spl2_2
| ~ spl2_25 ),
inference(forward_demodulation,[],[f919,f419]) ).
fof(f919,plain,
( n6 != sum(n3,n3)
| ~ spl2_2
| ~ spl2_25 ),
inference(forward_demodulation,[],[f918,f370]) ).
fof(f918,plain,
( sum(n3,n3) != sum(n9,n18)
| ~ spl2_2
| ~ spl2_25 ),
inference(forward_demodulation,[],[f917,f514]) ).
fof(f917,plain,
( sum(n9,n18) != sum(sum(n14,n10),n3)
| ~ spl2_2
| ~ spl2_25 ),
inference(forward_demodulation,[],[f916,f203]) ).
fof(f916,plain,
( sum(n9,n18) != sum(sum(n14,n10),sum(n8,n16))
| ~ spl2_2
| ~ spl2_25 ),
inference(forward_demodulation,[],[f915,f486]) ).
fof(f915,plain,
( sum(sum(n14,n10),sum(n8,n16)) != sum(sum(n14,n16),n18)
| ~ spl2_2
| ~ spl2_25 ),
inference(forward_demodulation,[],[f914,f562]) ).
fof(f914,plain,
( sum(sum(pred(n15),n10),sum(n8,n16)) != sum(sum(pred(n15),n16),n18)
| ~ spl2_2
| ~ spl2_25 ),
inference(forward_demodulation,[],[f913,f37]) ).
fof(f913,plain,
( sum(sum(pred(n15),n10),sum(n8,succ(n15))) != sum(sum(pred(n15),succ(n15)),n18)
| ~ spl2_2
| ~ spl2_25 ),
inference(forward_demodulation,[],[f887,f800]) ).
fof(f909,plain,
( ~ spl2_2
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f908]) ).
fof(f908,plain,
( $false
| ~ spl2_2
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f907]) ).
fof(f907,plain,
( n0 != n0
| ~ spl2_2
| ~ spl2_24 ),
inference(forward_demodulation,[],[f906,f296]) ).
fof(f906,plain,
( n0 != sum(n0,n0)
| ~ spl2_2
| ~ spl2_24 ),
inference(forward_demodulation,[],[f905,f374]) ).
fof(f905,plain,
( sum(n0,n0) != sum(n3,n18)
| ~ spl2_2
| ~ spl2_24 ),
inference(forward_demodulation,[],[f904,f32]) ).
fof(f904,plain,
( sum(n3,n18) != sum(sum(n11,n10),n0)
| ~ spl2_2
| ~ spl2_24 ),
inference(forward_demodulation,[],[f903,f125]) ).
fof(f903,plain,
( sum(sum(n11,n10),n0) != sum(sum(n11,n13),n18)
| ~ spl2_2
| ~ spl2_24 ),
inference(forward_demodulation,[],[f902,f347]) ).
fof(f902,plain,
( sum(sum(pred(n12),n10),n0) != sum(sum(pred(n12),n13),n18)
| ~ spl2_2
| ~ spl2_24 ),
inference(forward_demodulation,[],[f901,f587]) ).
fof(f901,plain,
( sum(sum(pred(n12),n13),n18) != sum(sum(pred(n12),n10),sum(n8,n13))
| ~ spl2_2
| ~ spl2_24 ),
inference(forward_demodulation,[],[f899,f278]) ).
fof(f899,plain,
( sum(sum(pred(n12),n10),sum(n8,succ(n12))) != sum(sum(pred(n12),succ(n12)),n18)
| ~ spl2_2
| ~ spl2_24 ),
inference(backward_demodulation,[],[f887,f796]) ).
fof(f898,plain,
( ~ spl2_2
| ~ spl2_23 ),
inference(avatar_contradiction_clause,[],[f897]) ).
fof(f897,plain,
( $false
| ~ spl2_2
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f896]) ).
fof(f896,plain,
( n1 != n1
| ~ spl2_2
| ~ spl2_23 ),
inference(forward_demodulation,[],[f895,f268]) ).
fof(f895,plain,
( n1 != sum(n4,n18)
| ~ spl2_2
| ~ spl2_23 ),
inference(forward_demodulation,[],[f894,f470]) ).
fof(f894,plain,
( sum(n4,n18) != sum(n11,n11)
| ~ spl2_2
| ~ spl2_23 ),
inference(forward_demodulation,[],[f893,f141]) ).
fof(f893,plain,
( sum(n11,n11) != sum(sum(n1,n3),n18)
| ~ spl2_2
| ~ spl2_23 ),
inference(forward_demodulation,[],[f892,f396]) ).
fof(f892,plain,
( sum(sum(n1,n3),n18) != sum(sum(n1,n10),n11)
| ~ spl2_2
| ~ spl2_23 ),
inference(forward_demodulation,[],[f891,f185]) ).
fof(f891,plain,
( sum(sum(n1,n3),n18) != sum(sum(n1,n10),sum(n8,n3))
| ~ spl2_2
| ~ spl2_23 ),
inference(forward_demodulation,[],[f890,f231]) ).
fof(f890,plain,
( sum(sum(pred(n2),n10),sum(n8,n3)) != sum(sum(pred(n2),n3),n18)
| ~ spl2_2
| ~ spl2_23 ),
inference(forward_demodulation,[],[f888,f184]) ).
fof(f888,plain,
( sum(sum(pred(n2),n10),sum(n8,succ(n2))) != sum(sum(pred(n2),succ(n2)),n18)
| ~ spl2_2
| ~ spl2_23 ),
inference(backward_demodulation,[],[f887,f792]) ).
fof(f883,plain,
( ~ spl2_2
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f882]) ).
fof(f882,plain,
( $false
| ~ spl2_2
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f881]) ).
fof(f881,plain,
( n13 != n13
| ~ spl2_2
| ~ spl2_22 ),
inference(forward_demodulation,[],[f880,f123]) ).
fof(f880,plain,
( n13 != sum(n16,n18)
| ~ spl2_2
| ~ spl2_22 ),
inference(forward_demodulation,[],[f879,f106]) ).
fof(f879,plain,
( sum(n16,n18) != sum(n17,n17)
| ~ spl2_2
| ~ spl2_22 ),
inference(forward_demodulation,[],[f878,f391]) ).
fof(f878,plain,
( sum(n17,n17) != sum(n16,sum(n8,n10))
| ~ spl2_2
| ~ spl2_22 ),
inference(forward_demodulation,[],[f877,f621]) ).
fof(f877,plain,
( sum(n16,sum(n8,n10)) != sum(sum(n7,n10),n17)
| ~ spl2_2
| ~ spl2_22 ),
inference(forward_demodulation,[],[f876,f637]) ).
fof(f876,plain,
( sum(n16,sum(n8,n10)) != sum(sum(n7,n10),sum(n8,n9))
| ~ spl2_2
| ~ spl2_22 ),
inference(forward_demodulation,[],[f875,f699]) ).
fof(f875,plain,
( sum(sum(n7,succ(n9)),sum(n8,n9)) != sum(n16,sum(n8,succ(n9)))
| ~ spl2_2
| ~ spl2_22 ),
inference(forward_demodulation,[],[f874,f333]) ).
fof(f874,plain,
( sum(n16,sum(pred(n9),succ(n9))) != sum(sum(n7,succ(n9)),sum(pred(n9),n9))
| ~ spl2_2
| ~ spl2_22 ),
inference(backward_demodulation,[],[f873,f707]) ).
fof(f873,plain,
( sum(sum(n7,succ(sK1)),sum(pred(sK1),n9)) != sum(n16,sum(pred(sK1),succ(sK1)))
| ~ spl2_22 ),
inference(forward_demodulation,[],[f872,f648]) ).
fof(f872,plain,
( sum(sum(n7,n9),sum(pred(sK1),succ(sK1))) != sum(sum(n7,succ(sK1)),sum(pred(sK1),n9))
| ~ spl2_22 ),
inference(forward_demodulation,[],[f871,f607]) ).
fof(f871,plain,
( sum(sum(pred(n8),n9),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n8),succ(sK1)),sum(pred(sK1),n9))
| ~ spl2_22 ),
inference(forward_demodulation,[],[f870,f474]) ).
fof(f870,plain,
( sum(sum(pred(n8),succ(n8)),sum(pred(sK1),succ(sK1))) != sum(sum(pred(n8),succ(sK1)),sum(pred(sK1),succ(n8)))
| ~ spl2_22 ),
inference(backward_demodulation,[],[f346,f788]) ).
fof(f869,plain,
( spl2_22
| spl2_23
| spl2_24
| spl2_25
| spl2_26
| spl2_27
| spl2_28
| spl2_29
| spl2_30
| spl2_31
| spl2_32
| spl2_33
| spl2_34
| spl2_35
| spl2_36
| spl2_37
| spl2_38
| spl2_39
| spl2_40
| spl2_41
| spl2_42 ),
inference(avatar_split_clause,[],[f392,f866,f862,f858,f854,f850,f846,f842,f838,f834,f830,f826,f822,f818,f814,f810,f806,f802,f798,f794,f790,f786]) ).
fof(f392,plain,
( n10 = sK0
| n17 = sK0
| n18 = sK0
| n4 = sK0
| n1 = sK0
| n19 = sK0
| n9 = sK0
| n14 = sK0
| n0 = sK0
| n13 = sK0
| n5 = sK0
| n16 = sK0
| n7 = sK0
| n3 = sK0
| n6 = sK0
| n11 = sK0
| n20 = sK0
| n15 = sK0
| n12 = sK0
| n2 = sK0
| n8 = sK0 ),
inference(cnf_transformation,[],[f3]) ).
fof(f784,plain,
( spl2_1
| spl2_2
| spl2_3
| spl2_4
| spl2_5
| spl2_6
| spl2_7
| spl2_8
| spl2_9
| spl2_10
| spl2_11
| spl2_12
| spl2_13
| spl2_14
| spl2_15
| spl2_16
| spl2_17
| spl2_18
| spl2_19
| spl2_20
| spl2_21 ),
inference(avatar_split_clause,[],[f43,f781,f777,f773,f769,f765,f761,f757,f753,f749,f745,f741,f737,f733,f729,f725,f721,f717,f713,f709,f705,f701]) ).
fof(f43,plain,
( n15 = sK1
| n17 = sK1
| n2 = sK1
| n4 = sK1
| n1 = sK1
| n14 = sK1
| n18 = sK1
| n6 = sK1
| n5 = sK1
| n19 = sK1
| n16 = sK1
| n10 = sK1
| n8 = sK1
| n20 = sK1
| n0 = sK1
| n11 = sK1
| n7 = sK1
| n12 = sK1
| n13 = sK1
| n9 = sK1
| n3 = sK1 ),
inference(cnf_transformation,[],[f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM376+1.020 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.33 % Computer : n010.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Aug 30 06:19:59 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.19/0.44 % (28620)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)
% 0.19/0.48 % (28646)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.48 % (28638)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.51 % (28628)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (28630)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (28640)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.51 % (28632)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.52 % (28624)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (28617)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.53 % (28618)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)
% 0.19/0.53 % (28623)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (28622)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53 % (28641)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53 % (28624)Instruction limit reached!
% 0.19/0.53 % (28624)------------------------------
% 0.19/0.53 % (28624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (28624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (28624)Termination reason: Unknown
% 0.19/0.53 % (28624)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (28624)Memory used [KB]: 1407
% 0.19/0.53 % (28624)Time elapsed: 0.008 s
% 0.19/0.53 % (28624)Instructions burned: 9 (million)
% 0.19/0.53 % (28624)------------------------------
% 0.19/0.53 % (28624)------------------------------
% 0.19/0.53 % (28631)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)
% 0.19/0.53 % (28619)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53 % (28621)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (28644)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.54 % (28645)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54 % (28642)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (28633)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (28639)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)
% 0.19/0.54 % (28643)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)
% 0.19/0.54 % (28636)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (28626)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (28627)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55 % (28637)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.55 % (28625)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.55 % (28635)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55 % (28625)Instruction limit reached!
% 0.19/0.55 % (28625)------------------------------
% 0.19/0.55 % (28625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (28625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (28625)Termination reason: Unknown
% 0.19/0.55 % (28625)Termination phase: shuffling
% 0.19/0.55
% 0.19/0.55 % (28625)Memory used [KB]: 1151
% 0.19/0.55 % (28625)Time elapsed: 0.002 s
% 0.19/0.55 % (28625)Instructions burned: 2 (million)
% 0.19/0.55 % (28625)------------------------------
% 0.19/0.55 % (28625)------------------------------
% 0.19/0.55 % (28620)Instruction limit reached!
% 0.19/0.55 % (28620)------------------------------
% 0.19/0.55 % (28620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (28634)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.56 % (28629)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.57 % (28620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (28620)Termination reason: Unknown
% 0.19/0.57 % (28620)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (28620)Memory used [KB]: 6780
% 0.19/0.57 % (28620)Time elapsed: 0.170 s
% 0.19/0.57 % (28620)Instructions burned: 53 (million)
% 0.19/0.57 % (28620)------------------------------
% 0.19/0.57 % (28620)------------------------------
% 0.19/0.60 % (28619)Instruction limit reached!
% 0.19/0.60 % (28619)------------------------------
% 0.19/0.60 % (28619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (28619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (28619)Termination reason: Unknown
% 0.19/0.60 % (28619)Termination phase: Saturation
% 0.19/0.60
% 0.19/0.60 % (28619)Memory used [KB]: 1918
% 0.19/0.60 % (28619)Time elapsed: 0.204 s
% 0.19/0.60 % (28619)Instructions burned: 37 (million)
% 0.19/0.60 % (28619)------------------------------
% 0.19/0.60 % (28619)------------------------------
% 1.97/0.61 % (28632)Instruction limit reached!
% 1.97/0.61 % (28632)------------------------------
% 1.97/0.61 % (28632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.61 % (28623)Instruction limit reached!
% 1.97/0.61 % (28623)------------------------------
% 1.97/0.61 % (28623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.61 % (28623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.61 % (28623)Termination reason: Unknown
% 1.97/0.61 % (28623)Termination phase: Finite model building preprocessing
% 1.97/0.61
% 1.97/0.61 % (28623)Memory used [KB]: 2814
% 1.97/0.61 % (28623)Time elapsed: 0.022 s
% 1.97/0.61 % (28623)Instructions burned: 53 (million)
% 1.97/0.61 % (28623)------------------------------
% 1.97/0.61 % (28623)------------------------------
% 1.97/0.61 % (28632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.61 % (28632)Termination reason: Unknown
% 1.97/0.61 % (28632)Termination phase: Saturation
% 1.97/0.61
% 1.97/0.61 % (28632)Memory used [KB]: 2174
% 1.97/0.61 % (28632)Time elapsed: 0.129 s
% 1.97/0.61 % (28632)Instructions burned: 75 (million)
% 1.97/0.61 % (28632)------------------------------
% 1.97/0.61 % (28632)------------------------------
% 1.97/0.61 % (28622)Instruction limit reached!
% 1.97/0.61 % (28622)------------------------------
% 1.97/0.61 % (28622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.61 % (28622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.61 % (28622)Termination reason: Unknown
% 1.97/0.61 % (28622)Termination phase: Saturation
% 1.97/0.61
% 1.97/0.61 % (28622)Memory used [KB]: 6780
% 1.97/0.61 % (28622)Time elapsed: 0.195 s
% 1.97/0.61 % (28622)Instructions burned: 49 (million)
% 1.97/0.61 % (28622)------------------------------
% 1.97/0.61 % (28622)------------------------------
% 1.97/0.62 % (28634)Instruction limit reached!
% 1.97/0.62 % (28634)------------------------------
% 1.97/0.62 % (28634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.62 % (28634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.62 % (28634)Termination reason: Unknown
% 1.97/0.62 % (28634)Termination phase: Finite model building preprocessing
% 1.97/0.62
% 1.97/0.62 % (28634)Memory used [KB]: 7675
% 1.97/0.62 % (28634)Time elapsed: 0.026 s
% 1.97/0.62 % (28634)Instructions burned: 60 (million)
% 1.97/0.62 % (28634)------------------------------
% 1.97/0.62 % (28634)------------------------------
% 2.19/0.62 % (28627)Instruction limit reached!
% 2.19/0.62 % (28627)------------------------------
% 2.19/0.62 % (28627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.62 % (28627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.62 % (28627)Termination reason: Unknown
% 2.19/0.62 % (28627)Termination phase: Saturation
% 2.19/0.62
% 2.19/0.62 % (28627)Memory used [KB]: 6780
% 2.19/0.62 % (28627)Time elapsed: 0.224 s
% 2.19/0.62 % (28627)Instructions burned: 50 (million)
% 2.19/0.62 % (28627)------------------------------
% 2.19/0.62 % (28627)------------------------------
% 2.19/0.62 % (28618)Instruction limit reached!
% 2.19/0.62 % (28618)------------------------------
% 2.19/0.62 % (28618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.62 % (28618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.62 % (28618)Termination reason: Unknown
% 2.19/0.62 % (28618)Termination phase: Saturation
% 2.19/0.62
% 2.19/0.62 % (28618)Memory used [KB]: 6652
% 2.19/0.62 % (28618)Time elapsed: 0.026 s
% 2.19/0.62 % (28618)Instructions burned: 50 (million)
% 2.19/0.62 % (28618)------------------------------
% 2.19/0.62 % (28618)------------------------------
% 2.21/0.63 % (28621)Instruction limit reached!
% 2.21/0.63 % (28621)------------------------------
% 2.21/0.63 % (28621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.63 % (28621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.63 % (28621)Termination reason: Unknown
% 2.21/0.63 % (28621)Termination phase: Saturation
% 2.21/0.63
% 2.21/0.63 % (28621)Memory used [KB]: 6652
% 2.21/0.63 % (28621)Time elapsed: 0.027 s
% 2.21/0.63 % (28621)Instructions burned: 52 (million)
% 2.21/0.63 % (28621)------------------------------
% 2.21/0.63 % (28621)------------------------------
% 2.21/0.64 % (28631)Instruction limit reached!
% 2.21/0.64 % (28631)------------------------------
% 2.21/0.64 % (28631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.64 % (28631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.64 % (28631)Termination reason: Unknown
% 2.21/0.64 % (28631)Termination phase: Saturation
% 2.21/0.64
% 2.21/0.64 % (28631)Memory used [KB]: 7547
% 2.21/0.64 % (28631)Time elapsed: 0.038 s
% 2.21/0.64 % (28631)Instructions burned: 69 (million)
% 2.21/0.64 % (28631)------------------------------
% 2.21/0.64 % (28631)------------------------------
% 2.21/0.64 % (28724)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 (2998ds/388Mi)
% 2.21/0.64 % (28626)Instruction limit reached!
% 2.21/0.64 % (28626)------------------------------
% 2.21/0.64 % (28626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.64 % (28626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.64 % (28626)Termination reason: Unknown
% 2.21/0.64 % (28626)Termination phase: Saturation
% 2.21/0.64
% 2.21/0.64 % (28626)Memory used [KB]: 2046
% 2.21/0.64 % (28626)Time elapsed: 0.224 s
% 2.21/0.64 % (28626)Instructions burned: 51 (million)
% 2.21/0.64 % (28626)------------------------------
% 2.21/0.64 % (28626)------------------------------
% 2.21/0.64 % (28643)Instruction limit reached!
% 2.21/0.64 % (28643)------------------------------
% 2.21/0.64 % (28643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.64 % (28643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.64 % (28643)Termination reason: Unknown
% 2.21/0.64 % (28643)Termination phase: Saturation
% 2.21/0.64
% 2.21/0.64 % (28643)Memory used [KB]: 7547
% 2.21/0.64 % (28643)Time elapsed: 0.034 s
% 2.21/0.64 % (28643)Instructions burned: 70 (million)
% 2.21/0.64 % (28643)------------------------------
% 2.21/0.64 % (28643)------------------------------
% 2.21/0.64 % (28628)Instruction limit reached!
% 2.21/0.64 % (28628)------------------------------
% 2.21/0.64 % (28628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.65 % (28628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.65 % (28628)Termination reason: Unknown
% 2.21/0.65 % (28628)Termination phase: Saturation
% 2.21/0.65
% 2.21/0.65 % (28628)Memory used [KB]: 7419
% 2.21/0.65 % (28628)Time elapsed: 0.263 s
% 2.21/0.65 % (28628)Instructions burned: 101 (million)
% 2.21/0.65 % (28628)------------------------------
% 2.21/0.65 % (28628)------------------------------
% 2.21/0.67 TRYING [21]
% 2.21/0.67 % (28638)Instruction limit reached!
% 2.21/0.67 % (28638)------------------------------
% 2.21/0.67 % (28638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.67 % (28638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.67 % (28638)Termination reason: Unknown
% 2.21/0.67 % (28638)Termination phase: Saturation
% 2.21/0.67
% 2.21/0.67 % (28638)Memory used [KB]: 7164
% 2.21/0.67 % (28638)Time elapsed: 0.073 s
% 2.21/0.67 % (28638)Instructions burned: 138 (million)
% 2.21/0.67 % (28638)------------------------------
% 2.21/0.67 % (28638)------------------------------
% 2.21/0.68 % (28739)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.21/0.68 % (28636)Instruction limit reached!
% 2.21/0.68 % (28636)------------------------------
% 2.21/0.68 % (28636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.68 % (28636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.68 % (28636)Termination reason: Unknown
% 2.21/0.68 % (28636)Termination phase: Saturation
% 2.21/0.68
% 2.21/0.68 % (28636)Memory used [KB]: 2046
% 2.21/0.68 % (28636)Time elapsed: 0.241 s
% 2.21/0.68 % (28636)Instructions burned: 103 (million)
% 2.21/0.68 % (28636)------------------------------
% 2.21/0.68 % (28636)------------------------------
% 2.21/0.69 % (28630)Instruction limit reached!
% 2.21/0.69 % (28630)------------------------------
% 2.21/0.69 % (28630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.69 % (28630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.69 % (28630)Termination reason: Unknown
% 2.21/0.69 % (28630)Termination phase: Saturation
% 2.21/0.69
% 2.21/0.69 % (28630)Memory used [KB]: 7291
% 2.21/0.69 % (28630)Time elapsed: 0.285 s
% 2.21/0.69 % (28630)Instructions burned: 99 (million)
% 2.21/0.69 % (28630)------------------------------
% 2.21/0.69 % (28630)------------------------------
% 2.21/0.70 % (28750)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 (2997ds/90Mi)
% 2.65/0.71 % (28635)Instruction limit reached!
% 2.65/0.71 % (28635)------------------------------
% 2.65/0.71 % (28635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.71 % (28635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.71 % (28635)Termination reason: Unknown
% 2.65/0.71 % (28635)Termination phase: Saturation
% 2.65/0.71
% 2.65/0.71 % (28635)Memory used [KB]: 7036
% 2.65/0.71 % (28635)Time elapsed: 0.051 s
% 2.65/0.71 % (28635)Instructions burned: 101 (million)
% 2.65/0.71 % (28635)------------------------------
% 2.65/0.71 % (28635)------------------------------
% 2.65/0.73 % (28629)Instruction limit reached!
% 2.65/0.73 % (28629)------------------------------
% 2.65/0.73 % (28629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.73 % (28629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.73 % (28629)Termination reason: Unknown
% 2.65/0.73 % (28629)Termination phase: Saturation
% 2.65/0.73
% 2.65/0.73 % (28629)Memory used [KB]: 7291
% 2.65/0.73 % (28629)Time elapsed: 0.313 s
% 2.65/0.73 % (28629)Instructions burned: 101 (million)
% 2.65/0.73 % (28629)------------------------------
% 2.65/0.73 % (28629)------------------------------
% 2.65/0.73 % (28769)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.65/0.73 % (28633)Instruction limit reached!
% 2.65/0.73 % (28633)------------------------------
% 2.65/0.73 % (28633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.73 % (28633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.73 % (28633)Termination reason: Unknown
% 2.65/0.73 % (28633)Termination phase: Saturation
% 2.65/0.73
% 2.65/0.73 % (28633)Memory used [KB]: 7164
% 2.65/0.73 % (28633)Time elapsed: 0.331 s
% 2.65/0.73 % (28633)Instructions burned: 100 (million)
% 2.65/0.73 % (28633)------------------------------
% 2.65/0.73 % (28633)------------------------------
% 2.65/0.74 % (28766)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.65/0.74 % (28770)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 (2997ds/747Mi)
% 2.65/0.75 % (28779)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 (2997ds/68Mi)
% 2.65/0.75 % (28774)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 (2997ds/655Mi)
% 2.65/0.76 % (28799)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.65/0.76 % (28782)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 (2997ds/940Mi)
% 2.65/0.76 % (28644)Instruction limit reached!
% 2.65/0.76 % (28644)------------------------------
% 2.65/0.76 % (28644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.76 % (28644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.76 % (28644)Termination reason: Unknown
% 2.65/0.76 % (28644)Termination phase: Saturation
% 2.65/0.76
% 2.65/0.76 % (28644)Memory used [KB]: 2302
% 2.65/0.76 % (28644)Time elapsed: 0.326 s
% 2.65/0.76 % (28644)Instructions burned: 179 (million)
% 2.65/0.76 % (28644)------------------------------
% 2.65/0.76 % (28644)------------------------------
% 2.65/0.77 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.65/0.77 % (28786)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 (2997ds/981Mi)
% 2.65/0.77 % (28788)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 (2997ds/90Mi)
% 2.94/0.77 % (28790)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 (2997ds/2016Mi)
% 2.94/0.78 % (28794)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 (2997ds/4958Mi)
% 2.94/0.78 % (28792)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.94/0.79 % (28808)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.94/0.82 % (28811)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 (2996ds/4931Mi)
% 2.94/0.83 % (28815)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.94/0.85 % (28750)Instruction limit reached!
% 2.94/0.85 % (28750)------------------------------
% 2.94/0.85 % (28750)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.94/0.85 % (28750)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/0.85 % (28750)Termination reason: Unknown
% 2.94/0.85 % (28750)Termination phase: Saturation
% 2.94/0.85
% 2.94/0.85 % (28750)Memory used [KB]: 7036
% 2.94/0.85 % (28750)Time elapsed: 0.249 s
% 2.94/0.85 % (28750)Instructions burned: 91 (million)
% 2.94/0.85 % (28750)------------------------------
% 2.94/0.85 % (28750)------------------------------
% 2.94/0.85 % (28831)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 (2996ds/1824Mi)
% 2.94/0.86 % (28779)Instruction limit reached!
% 2.94/0.86 % (28779)------------------------------
% 2.94/0.86 % (28779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.94/0.86 % (28779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/0.86 % (28779)Termination reason: Unknown
% 2.94/0.86 % (28779)Termination phase: Saturation
% 2.94/0.86
% 2.94/0.86 % (28779)Memory used [KB]: 7547
% 2.94/0.86 % (28779)Time elapsed: 0.034 s
% 2.94/0.86 % (28779)Instructions burned: 70 (million)
% 2.94/0.86 % (28779)------------------------------
% 2.94/0.86 % (28779)------------------------------
% 2.94/0.86 % (28637)Instruction limit reached!
% 2.94/0.86 % (28637)------------------------------
% 2.94/0.86 % (28637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.94/0.86 % (28637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/0.86 % (28637)Termination reason: Unknown
% 2.94/0.86 % (28637)Termination phase: Saturation
% 2.94/0.86
% 2.94/0.86 % (28637)Memory used [KB]: 7419
% 2.94/0.86 % (28637)Time elapsed: 0.091 s
% 2.94/0.86 % (28637)Instructions burned: 178 (million)
% 2.94/0.86 % (28637)------------------------------
% 2.94/0.86 % (28637)------------------------------
% 2.94/0.86 % (28849)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2891Mi)
% 2.94/0.86 % (28846)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 3.33/0.89 % (28646)First to succeed.
% 3.33/0.90 % (28872)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.41/0.93 % (28788)Instruction limit reached!
% 3.41/0.93 % (28788)------------------------------
% 3.41/0.93 % (28788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.41/0.93 % (28788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.41/0.93 % (28788)Termination reason: Unknown
% 3.41/0.93 % (28788)Termination phase: Saturation
% 3.41/0.93
% 3.41/0.93 % (28788)Memory used [KB]: 7036
% 3.41/0.93 % (28788)Time elapsed: 0.265 s
% 3.41/0.93 % (28788)Instructions burned: 90 (million)
% 3.41/0.93 % (28788)------------------------------
% 3.41/0.93 % (28788)------------------------------
% 3.41/0.95 % (28815)Instruction limit reached!
% 3.41/0.95 % (28815)------------------------------
% 3.41/0.95 % (28815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.41/0.95 % (28815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.41/0.95 % (28815)Termination reason: Unknown
% 3.41/0.95 % (28815)Termination phase: Saturation
% 3.41/0.95
% 3.41/0.95 % (28815)Memory used [KB]: 7547
% 3.41/0.95 % (28815)Time elapsed: 0.040 s
% 3.41/0.95 % (28815)Instructions burned: 68 (million)
% 3.41/0.95 % (28815)------------------------------
% 3.41/0.95 % (28815)------------------------------
% 3.41/0.97 % (28739)Instruction limit reached!
% 3.41/0.97 % (28739)------------------------------
% 3.41/0.97 % (28739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.41/0.98 % (28915)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.41/0.98 % (28739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.41/0.98 % (28739)Termination reason: Unknown
% 3.41/0.98 % (28909)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.41/0.99 % (28739)Termination phase: Saturation
% 3.41/0.99
% 3.41/0.99 % (28739)Memory used [KB]: 2302
% 3.41/0.99 % (28739)Time elapsed: 0.391 s
% 3.41/0.99 % (28739)Instructions burned: 213 (million)
% 3.41/0.99 % (28739)------------------------------
% 3.41/0.99 % (28739)------------------------------
% 3.41/1.00 % (28914)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 (2994ds/2016Mi)
% 3.41/1.00 % (28646)Refutation found. Thanks to Tanya!
% 3.41/1.00 % SZS status Unsatisfiable for theBenchmark
% 3.41/1.00 % SZS output start Proof for theBenchmark
% See solution above
% 3.72/1.02 % (28646)------------------------------
% 3.72/1.02 % (28646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.72/1.02 % (28646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.72/1.02 % (28646)Termination reason: Refutation
% 3.72/1.02
% 3.72/1.02 % (28646)Memory used [KB]: 9338
% 3.72/1.02 % (28646)Time elapsed: 0.262 s
% 3.72/1.02 % (28646)Instructions burned: 299 (million)
% 3.72/1.02 % (28646)------------------------------
% 3.72/1.02 % (28646)------------------------------
% 3.72/1.02 % (28616)Success in time 0.662 s
%------------------------------------------------------------------------------