TSTP Solution File: NUM375+1.020 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM375+1.020 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.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 : Tue Apr 30 14:14:23 EDT 2024
% Result : Unsatisfiable 1.87s 0.60s
% Output : Refutation 1.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 44
% Syntax : Number of formulae : 5659 ( 506 unt; 0 def)
% Number of atoms : 18068 (7797 equ)
% Maximal formula atoms : 1514 ( 3 avg)
% Number of connectives : 23078 (10669 ~;9502 |;2864 &)
% ( 42 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 721 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 44 ( 42 usr; 43 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 24 con; 0-2 aty)
% Number of variables : 6 ( 0 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13711,plain,
$false,
inference(avatar_sat_refutation,[],[f805,f911,f922,f932,f944,f954,f967,f977,f991,f1001,f1017,f1026,f1043,f1052,f1070,f1079,f1098,f1107,f1127,f1136,f1157,f1166,f1188,f1197,f1220,f1229,f1253,f1262,f1287,f1296,f1322,f1331,f1358,f1367,f1395,f1404,f1433,f1442,f1472,f1481,f1512,f1521,f1553,f1562,f1576,f1590,f1605,f1621,f1638,f1656,f1675,f1695,f1716,f1738,f1761,f1785,f1810,f1836,f1863,f1891,f1920,f1950,f1981,f2011,f2062,f2092,f2121,f2149,f2179,f2208,f2236,f2264,f2293,f2321,f2350,f2378,f2405,f2431,f2458,f2485,f2511,f2537,f2563,f2588,f2634,f2665,f2694,f2725,f2755,f2785,f2815,f2844,f2874,f2903,f2932,f2960,f2989,f3017,f3045,f3072,f3098,f3125,f3151,f3196,f3219,f3243,f3269,f3296,f3322,f3347,f3373,f3402,f3430,f3458,f3485,f3512,f3538,f3564,f3589,f3613,f3643,f3672,f3722,f3750,f3777,f3806,f3834,f3861,f3887,f3915,f3942,f3968,f3993,f4023,f4054,f4084,f4113,f4142,f4172,f4201,f4250,f4277,f4304,f4330,f4359,f4387,f4414,f4440,f4466,f4494,f4521,f4550,f4578,f4606,f4636,f4665,f4694,f4722,f4770,f4801,f4830,f4859,f4888,f4916,f4944,f4974,f5003,f5034,f5064,f5094,f5123,f5153,f5182,f5211,f5240,f5287,f5312,f5338,f5366,f5394,f5423,f5451,f5478,f5506,f5536,f5565,f5593,f5622,f5650,f5677,f5705,f5732,f5781,f5810,f5838,f5865,f5891,f5917,f5942,f5972,f6001,f6029,f6056,f6082,f6111,f6139,f6170,f6200,f6248,f6274,f6299,f6326,f6352,f6382,f6411,f6439,f6467,f6496,f6524,f6553,f6582,f6610,f6638,f6665,f6714,f6743,f6771,f6799,f6826,f6853,f6884,f6914,f6943,f6973,f7002,f7030,f7058,f7085,f7115,f7143,f7169,f7196,f7226,f7255,f7283,f7310,f7338,f7365,f7394,f7422,f7449,f7478,f7506,f7534,f7585,f7614,f7642,f7673,f7703,f7733,f7762,f7791,f7820,f7848,f7877,f7906,f7935,f7963,f8013,f8041,f8070,f8098,f8127,f8155,f8183,f8211,f8238,f8265,f8291,f8317,f8344,f8373,f8422,f8452,f8482,f8511,f8541,f8570,f8599,f8627,f8656,f8684,f8713,f8741,f8769,f8818,f8845,f8873,f8902,f8930,f8957,f8983,f9008,f9034,f9060,f9085,f9112,f9138,f9184,f9213,f9240,f9268,f9297,f9325,f9353,f9380,f9408,f9435,f9463,f9490,f9536,f9562,f9587,f9611,f9634,f9662,f9691,f9719,f9746,f9773,f9800,f9826,f9854,f9880,f9906,f9934,f9961,f9987,f10016,f10044,f10072,f10100,f10127,f10175,f10203,f10230,f10257,f10283,f10309,f10335,f10360,f10385,f10410,f10439,f10488,f10517,f10544,f10570,f10599,f10627,f10654,f10680,f10708,f10735,f10767,f10795,f10822,f10848,f10874,f10899,f10928,f10956,f10984,f11012,f11060,f11088,f11115,f11144,f11172,f11200,f11227,f11254,f11281,f11329,f11358,f11386,f11413,f11441,f11468,f11494,f11521,f11547,f11594,f11621,f11647,f11673,f11698,f11723,f11752,f11780,f11826,f11853,f11881,f11908,f11937,f11965,f11993,f12020,f12069,f12095,f12123,f12150,f12179,f12207,f12235,f12283,f12309,f12336,f12362,f12391,f12419,f12447,f12497,f12524,f12549,f12574,f12600,f12629,f12659,f12686,f12714,f12741,f12767,f12793,f12839,f12867,f12893,f12919,f12947,f12976,f13003,f13031,f13058,f13085,f13113,f13139,f13164,f13191,f13238,f13266,f13293,f13320,f13369,f13396,f13422,f13470,f13496,f13521,f13549,f13575,f13607,f13635,f13682,f13710]) ).
fof(f13710,plain,
( ~ spl3_5
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f13709]) ).
fof(f13709,plain,
( $false
| ~ spl3_5
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f13708,f500]) ).
fof(f500,plain,
n10 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f3,plain,
( n19 != n20
& n18 != n20
& n18 != n19
& n17 != n20
& n17 != n19
& n17 != n18
& n16 != n20
& n16 != n19
& n16 != n18
& n16 != n17
& n15 != n20
& n15 != n19
& n15 != n18
& n15 != n17
& n15 != n16
& n14 != n20
& n14 != n19
& n14 != n18
& n14 != n17
& n14 != n16
& n14 != n15
& n13 != n20
& n13 != n19
& n13 != n18
& n13 != n17
& n13 != n16
& n13 != n15
& n13 != n14
& n12 != n20
& n12 != n19
& n12 != n18
& n12 != n17
& n12 != n16
& n12 != n15
& n12 != n14
& n12 != n13
& n11 != n20
& n11 != n19
& n11 != n18
& n11 != n17
& n11 != n16
& n11 != n15
& n11 != n14
& n11 != n13
& n11 != n12
& n10 != n20
& n10 != n19
& n10 != n18
& n10 != n17
& n10 != n16
& n10 != n15
& n10 != n14
& n10 != n13
& n10 != n12
& n10 != n11
& n9 != n20
& n9 != n19
& n9 != n18
& n9 != n17
& n9 != n16
& n9 != n15
& n9 != n14
& n9 != n13
& n9 != n12
& n9 != n11
& n9 != n10
& n8 != n20
& n8 != n19
& n8 != n18
& n8 != n17
& n8 != n16
& n8 != n15
& n8 != n14
& n8 != n13
& n8 != n12
& n8 != n11
& n8 != n10
& n8 != n9
& n7 != n20
& n7 != n19
& n7 != n18
& n7 != n17
& n7 != n16
& n7 != n15
& n7 != n14
& n7 != n13
& n7 != n12
& n7 != n11
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n20
& n6 != n19
& n6 != n18
& n6 != n17
& n6 != n16
& n6 != n15
& n6 != n14
& n6 != n13
& n6 != n12
& n6 != n11
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n20
& n5 != n19
& n5 != n18
& n5 != n17
& n5 != n16
& n5 != n15
& n5 != n14
& n5 != n13
& n5 != n12
& n5 != n11
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n20
& n4 != n19
& n4 != n18
& n4 != n17
& n4 != n16
& n4 != n15
& n4 != n14
& n4 != n13
& n4 != n12
& n4 != n11
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n20
& n3 != n19
& n3 != n18
& n3 != n17
& n3 != n16
& n3 != n15
& n3 != n14
& n3 != n13
& n3 != n12
& n3 != n11
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n20
& n2 != n19
& n2 != n18
& n2 != n17
& n2 != n16
& n2 != n15
& n2 != n14
& n2 != n13
& n2 != n12
& n2 != n11
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n20
& n1 != n19
& n1 != n18
& n1 != n17
& n1 != n16
& n1 != n15
& n1 != n14
& n1 != n13
& n1 != n12
& n1 != n11
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n20
& n0 != n19
& n0 != n18
& n0 != n17
& n0 != n16
& n0 != n15
& n0 != n14
& n0 != n13
& n0 != n12
& n0 != n11
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& n20 != sK2
& n19 != sK2
& n18 != sK2
& n17 != sK2
& n16 != sK2
& n15 != sK2
& n14 != sK2
& n13 != sK2
& n12 != sK2
& n11 != sK2
& n10 != sK2
& n9 != sK2
& n8 != sK2
& n7 != sK2
& n6 != sK2
& n5 != sK2
& n4 != sK2
& n3 != sK2
& n2 != sK2
& n1 != sK2
& n0 != sK2
& sK2 = sum(pred(sum(sK0,succ(sK1))),sum(sK1,pred(sum(sK0,sK1))))
& ( n20 = sK1
| n19 = sK1
| n18 = sK1
| n17 = sK1
| n16 = sK1
| n15 = sK1
| n14 = sK1
| n13 = sK1
| n12 = sK1
| n11 = sK1
| n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 )
& ( n20 = sK0
| n19 = sK0
| n18 = sK0
| n17 = sK0
| n16 = sK0
| n15 = sK0
| n14 = sK0
| n13 = sK0
| n12 = sK0
| n11 = sK0
| n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 )
& n19 = sum(n20,n20)
& n18 = sum(n20,n19)
& n17 = sum(n20,n18)
& n16 = sum(n20,n17)
& n15 = sum(n20,n16)
& n14 = sum(n20,n15)
& n13 = sum(n20,n14)
& n12 = sum(n20,n13)
& n11 = sum(n20,n12)
& n10 = sum(n20,n11)
& n9 = sum(n20,n10)
& n8 = sum(n20,n9)
& n7 = sum(n20,n8)
& n6 = sum(n20,n7)
& n5 = sum(n20,n6)
& n4 = sum(n20,n5)
& n3 = sum(n20,n4)
& n2 = sum(n20,n3)
& n1 = sum(n20,n2)
& n0 = sum(n20,n1)
& n20 = sum(n20,n0)
& n18 = sum(n19,n20)
& n17 = sum(n19,n19)
& n16 = sum(n19,n18)
& n15 = sum(n19,n17)
& n14 = sum(n19,n16)
& n13 = sum(n19,n15)
& n12 = sum(n19,n14)
& n11 = sum(n19,n13)
& n10 = sum(n19,n12)
& n9 = sum(n19,n11)
& n8 = sum(n19,n10)
& n7 = sum(n19,n9)
& n6 = sum(n19,n8)
& n5 = sum(n19,n7)
& n4 = sum(n19,n6)
& n3 = sum(n19,n5)
& n2 = sum(n19,n4)
& n1 = sum(n19,n3)
& n0 = sum(n19,n2)
& n20 = sum(n19,n1)
& n19 = sum(n19,n0)
& n17 = sum(n18,n20)
& n16 = sum(n18,n19)
& n15 = sum(n18,n18)
& n14 = sum(n18,n17)
& n13 = sum(n18,n16)
& n12 = sum(n18,n15)
& n11 = sum(n18,n14)
& n10 = sum(n18,n13)
& n9 = sum(n18,n12)
& n8 = sum(n18,n11)
& n7 = sum(n18,n10)
& n6 = sum(n18,n9)
& n5 = sum(n18,n8)
& n4 = sum(n18,n7)
& n3 = sum(n18,n6)
& n2 = sum(n18,n5)
& n1 = sum(n18,n4)
& n0 = sum(n18,n3)
& n20 = sum(n18,n2)
& n19 = sum(n18,n1)
& n18 = sum(n18,n0)
& n16 = sum(n17,n20)
& n15 = sum(n17,n19)
& n14 = sum(n17,n18)
& n13 = sum(n17,n17)
& n12 = sum(n17,n16)
& n11 = sum(n17,n15)
& n10 = sum(n17,n14)
& n9 = sum(n17,n13)
& n8 = sum(n17,n12)
& n7 = sum(n17,n11)
& n6 = sum(n17,n10)
& n5 = sum(n17,n9)
& n4 = sum(n17,n8)
& n3 = sum(n17,n7)
& n2 = sum(n17,n6)
& n1 = sum(n17,n5)
& n0 = sum(n17,n4)
& n20 = sum(n17,n3)
& n19 = sum(n17,n2)
& n18 = sum(n17,n1)
& n17 = sum(n17,n0)
& n15 = sum(n16,n20)
& n14 = sum(n16,n19)
& n13 = sum(n16,n18)
& n12 = sum(n16,n17)
& n11 = sum(n16,n16)
& n10 = sum(n16,n15)
& n9 = sum(n16,n14)
& n8 = sum(n16,n13)
& n7 = sum(n16,n12)
& n6 = sum(n16,n11)
& n5 = sum(n16,n10)
& n4 = sum(n16,n9)
& n3 = sum(n16,n8)
& n2 = sum(n16,n7)
& n1 = sum(n16,n6)
& n0 = sum(n16,n5)
& n20 = sum(n16,n4)
& n19 = sum(n16,n3)
& n18 = sum(n16,n2)
& n17 = sum(n16,n1)
& n16 = sum(n16,n0)
& n14 = sum(n15,n20)
& n13 = sum(n15,n19)
& n12 = sum(n15,n18)
& n11 = sum(n15,n17)
& n10 = sum(n15,n16)
& n9 = sum(n15,n15)
& n8 = sum(n15,n14)
& n7 = sum(n15,n13)
& n6 = sum(n15,n12)
& n5 = sum(n15,n11)
& n4 = sum(n15,n10)
& n3 = sum(n15,n9)
& n2 = sum(n15,n8)
& n1 = sum(n15,n7)
& n0 = sum(n15,n6)
& n20 = sum(n15,n5)
& n19 = sum(n15,n4)
& n18 = sum(n15,n3)
& n17 = sum(n15,n2)
& n16 = sum(n15,n1)
& n15 = sum(n15,n0)
& n13 = sum(n14,n20)
& n12 = sum(n14,n19)
& n11 = sum(n14,n18)
& n10 = sum(n14,n17)
& n9 = sum(n14,n16)
& n8 = sum(n14,n15)
& n7 = sum(n14,n14)
& n6 = sum(n14,n13)
& n5 = sum(n14,n12)
& n4 = sum(n14,n11)
& n3 = sum(n14,n10)
& n2 = sum(n14,n9)
& n1 = sum(n14,n8)
& n0 = sum(n14,n7)
& n20 = sum(n14,n6)
& n19 = sum(n14,n5)
& n18 = sum(n14,n4)
& n17 = sum(n14,n3)
& n16 = sum(n14,n2)
& n15 = sum(n14,n1)
& n14 = sum(n14,n0)
& n12 = sum(n13,n20)
& n11 = sum(n13,n19)
& n10 = sum(n13,n18)
& n9 = sum(n13,n17)
& n8 = sum(n13,n16)
& n7 = sum(n13,n15)
& n6 = sum(n13,n14)
& n5 = sum(n13,n13)
& n4 = sum(n13,n12)
& n3 = sum(n13,n11)
& n2 = sum(n13,n10)
& n1 = sum(n13,n9)
& n0 = sum(n13,n8)
& n20 = sum(n13,n7)
& n19 = sum(n13,n6)
& n18 = sum(n13,n5)
& n17 = sum(n13,n4)
& n16 = sum(n13,n3)
& n15 = sum(n13,n2)
& n14 = sum(n13,n1)
& n13 = sum(n13,n0)
& n11 = sum(n12,n20)
& n10 = sum(n12,n19)
& n9 = sum(n12,n18)
& n8 = sum(n12,n17)
& n7 = sum(n12,n16)
& n6 = sum(n12,n15)
& n5 = sum(n12,n14)
& n4 = sum(n12,n13)
& n3 = sum(n12,n12)
& n2 = sum(n12,n11)
& n1 = sum(n12,n10)
& n0 = sum(n12,n9)
& n20 = sum(n12,n8)
& n19 = sum(n12,n7)
& n18 = sum(n12,n6)
& n17 = sum(n12,n5)
& n16 = sum(n12,n4)
& n15 = sum(n12,n3)
& n14 = sum(n12,n2)
& n13 = sum(n12,n1)
& n12 = sum(n12,n0)
& n10 = sum(n11,n20)
& n9 = sum(n11,n19)
& n8 = sum(n11,n18)
& n7 = sum(n11,n17)
& n6 = sum(n11,n16)
& n5 = sum(n11,n15)
& n4 = sum(n11,n14)
& n3 = sum(n11,n13)
& n2 = sum(n11,n12)
& n1 = sum(n11,n11)
& n0 = sum(n11,n10)
& n20 = sum(n11,n9)
& n19 = sum(n11,n8)
& n18 = sum(n11,n7)
& n17 = sum(n11,n6)
& n16 = sum(n11,n5)
& n15 = sum(n11,n4)
& n14 = sum(n11,n3)
& n13 = sum(n11,n2)
& n12 = sum(n11,n1)
& n11 = sum(n11,n0)
& n9 = sum(n10,n20)
& n8 = sum(n10,n19)
& n7 = sum(n10,n18)
& n6 = sum(n10,n17)
& n5 = sum(n10,n16)
& n4 = sum(n10,n15)
& n3 = sum(n10,n14)
& n2 = sum(n10,n13)
& n1 = sum(n10,n12)
& n0 = sum(n10,n11)
& n20 = sum(n10,n10)
& n19 = sum(n10,n9)
& n18 = sum(n10,n8)
& n17 = sum(n10,n7)
& n16 = sum(n10,n6)
& n15 = sum(n10,n5)
& n14 = sum(n10,n4)
& n13 = sum(n10,n3)
& n12 = sum(n10,n2)
& n11 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n20)
& n7 = sum(n9,n19)
& n6 = sum(n9,n18)
& n5 = sum(n9,n17)
& n4 = sum(n9,n16)
& n3 = sum(n9,n15)
& n2 = sum(n9,n14)
& n1 = sum(n9,n13)
& n0 = sum(n9,n12)
& n20 = sum(n9,n11)
& n19 = sum(n9,n10)
& n18 = sum(n9,n9)
& n17 = sum(n9,n8)
& n16 = sum(n9,n7)
& n15 = sum(n9,n6)
& n14 = sum(n9,n5)
& n13 = sum(n9,n4)
& n12 = sum(n9,n3)
& n11 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n20)
& n6 = sum(n8,n19)
& n5 = sum(n8,n18)
& n4 = sum(n8,n17)
& n3 = sum(n8,n16)
& n2 = sum(n8,n15)
& n1 = sum(n8,n14)
& n0 = sum(n8,n13)
& n20 = sum(n8,n12)
& n19 = sum(n8,n11)
& n18 = sum(n8,n10)
& n17 = sum(n8,n9)
& n16 = sum(n8,n8)
& n15 = sum(n8,n7)
& n14 = sum(n8,n6)
& n13 = sum(n8,n5)
& n12 = sum(n8,n4)
& n11 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n20)
& n5 = sum(n7,n19)
& n4 = sum(n7,n18)
& n3 = sum(n7,n17)
& n2 = sum(n7,n16)
& n1 = sum(n7,n15)
& n0 = sum(n7,n14)
& n20 = sum(n7,n13)
& n19 = sum(n7,n12)
& n18 = sum(n7,n11)
& n17 = sum(n7,n10)
& n16 = sum(n7,n9)
& n15 = sum(n7,n8)
& n14 = sum(n7,n7)
& n13 = sum(n7,n6)
& n12 = sum(n7,n5)
& n11 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n20)
& n4 = sum(n6,n19)
& n3 = sum(n6,n18)
& n2 = sum(n6,n17)
& n1 = sum(n6,n16)
& n0 = sum(n6,n15)
& n20 = sum(n6,n14)
& n19 = sum(n6,n13)
& n18 = sum(n6,n12)
& n17 = sum(n6,n11)
& n16 = sum(n6,n10)
& n15 = sum(n6,n9)
& n14 = sum(n6,n8)
& n13 = sum(n6,n7)
& n12 = sum(n6,n6)
& n11 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n20)
& n3 = sum(n5,n19)
& n2 = sum(n5,n18)
& n1 = sum(n5,n17)
& n0 = sum(n5,n16)
& n20 = sum(n5,n15)
& n19 = sum(n5,n14)
& n18 = sum(n5,n13)
& n17 = sum(n5,n12)
& n16 = sum(n5,n11)
& n15 = sum(n5,n10)
& n14 = sum(n5,n9)
& n13 = sum(n5,n8)
& n12 = sum(n5,n7)
& n11 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n20)
& n2 = sum(n4,n19)
& n1 = sum(n4,n18)
& n0 = sum(n4,n17)
& n20 = sum(n4,n16)
& n19 = sum(n4,n15)
& n18 = sum(n4,n14)
& n17 = sum(n4,n13)
& n16 = sum(n4,n12)
& n15 = sum(n4,n11)
& n14 = sum(n4,n10)
& n13 = sum(n4,n9)
& n12 = sum(n4,n8)
& n11 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n20)
& n1 = sum(n3,n19)
& n0 = sum(n3,n18)
& n20 = sum(n3,n17)
& n19 = sum(n3,n16)
& n18 = sum(n3,n15)
& n17 = sum(n3,n14)
& n16 = sum(n3,n13)
& n15 = sum(n3,n12)
& n14 = sum(n3,n11)
& n13 = sum(n3,n10)
& n12 = sum(n3,n9)
& n11 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n20)
& n0 = sum(n2,n19)
& n20 = sum(n2,n18)
& n19 = sum(n2,n17)
& n18 = sum(n2,n16)
& n17 = sum(n2,n15)
& n16 = sum(n2,n14)
& n15 = sum(n2,n13)
& n14 = sum(n2,n12)
& n13 = sum(n2,n11)
& n12 = sum(n2,n10)
& n11 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n20)
& n20 = sum(n1,n19)
& n19 = sum(n1,n18)
& n18 = sum(n1,n17)
& n17 = sum(n1,n16)
& n16 = sum(n1,n15)
& n15 = sum(n1,n14)
& n14 = sum(n1,n13)
& n13 = sum(n1,n12)
& n12 = sum(n1,n11)
& n11 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n20 = sum(n0,n20)
& n19 = sum(n0,n19)
& n18 = sum(n0,n18)
& n17 = sum(n0,n17)
& n16 = sum(n0,n16)
& n15 = sum(n0,n15)
& n14 = sum(n0,n14)
& n13 = sum(n0,n13)
& n12 = sum(n0,n12)
& n11 = sum(n0,n11)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n19 = pred(n20)
& n18 = pred(n19)
& n17 = pred(n18)
& n16 = pred(n17)
& n15 = pred(n16)
& n14 = pred(n15)
& n13 = pred(n14)
& n12 = pred(n13)
& n11 = pred(n12)
& n10 = pred(n11)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n20 = pred(n0)
& n0 = succ(n20)
& succ(n19) = n20
& succ(n18) = n19
& succ(n17) = n18
& succ(n16) = n17
& succ(n15) = n16
& succ(n14) = n15
& succ(n13) = n14
& succ(n12) = n13
& succ(n11) = n12
& succ(n10) = n11
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f1,f2]) ).
fof(f2,plain,
( ? [X0,X1,X2] :
( n19 != n20
& n18 != n20
& n18 != n19
& n17 != n20
& n17 != n19
& n17 != n18
& n16 != n20
& n16 != n19
& n16 != n18
& n16 != n17
& n15 != n20
& n15 != n19
& n15 != n18
& n15 != n17
& n15 != n16
& n14 != n20
& n14 != n19
& n14 != n18
& n14 != n17
& n14 != n16
& n14 != n15
& n13 != n20
& n13 != n19
& n13 != n18
& n13 != n17
& n13 != n16
& n13 != n15
& n13 != n14
& n12 != n20
& n12 != n19
& n12 != n18
& n12 != n17
& n12 != n16
& n12 != n15
& n12 != n14
& n12 != n13
& n11 != n20
& n11 != n19
& n11 != n18
& n11 != n17
& n11 != n16
& n11 != n15
& n11 != n14
& n11 != n13
& n11 != n12
& n10 != n20
& n10 != n19
& n10 != n18
& n10 != n17
& n10 != n16
& n10 != n15
& n10 != n14
& n10 != n13
& n10 != n12
& n10 != n11
& n9 != n20
& n9 != n19
& n9 != n18
& n9 != n17
& n9 != n16
& n9 != n15
& n9 != n14
& n9 != n13
& n9 != n12
& n9 != n11
& n9 != n10
& n8 != n20
& n8 != n19
& n8 != n18
& n8 != n17
& n8 != n16
& n8 != n15
& n8 != n14
& n8 != n13
& n8 != n12
& n8 != n11
& n8 != n10
& n8 != n9
& n7 != n20
& n7 != n19
& n7 != n18
& n7 != n17
& n7 != n16
& n7 != n15
& n7 != n14
& n7 != n13
& n7 != n12
& n7 != n11
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n20
& n6 != n19
& n6 != n18
& n6 != n17
& n6 != n16
& n6 != n15
& n6 != n14
& n6 != n13
& n6 != n12
& n6 != n11
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n20
& n5 != n19
& n5 != n18
& n5 != n17
& n5 != n16
& n5 != n15
& n5 != n14
& n5 != n13
& n5 != n12
& n5 != n11
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n20
& n4 != n19
& n4 != n18
& n4 != n17
& n4 != n16
& n4 != n15
& n4 != n14
& n4 != n13
& n4 != n12
& n4 != n11
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n20
& n3 != n19
& n3 != n18
& n3 != n17
& n3 != n16
& n3 != n15
& n3 != n14
& n3 != n13
& n3 != n12
& n3 != n11
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n20
& n2 != n19
& n2 != n18
& n2 != n17
& n2 != n16
& n2 != n15
& n2 != n14
& n2 != n13
& n2 != n12
& n2 != n11
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n20
& n1 != n19
& n1 != n18
& n1 != n17
& n1 != n16
& n1 != n15
& n1 != n14
& n1 != n13
& n1 != n12
& n1 != n11
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n20
& n0 != n19
& n0 != n18
& n0 != n17
& n0 != n16
& n0 != n15
& n0 != n14
& n0 != n13
& n0 != n12
& n0 != n11
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& n20 != X2
& n19 != X2
& n18 != X2
& n17 != X2
& n16 != X2
& n15 != X2
& n14 != X2
& n13 != X2
& n12 != X2
& n11 != X2
& n10 != X2
& n9 != X2
& n8 != X2
& n7 != X2
& n6 != X2
& n5 != X2
& n4 != X2
& n3 != X2
& n2 != X2
& n1 != X2
& n0 != X2
& sum(pred(sum(X0,succ(X1))),sum(X1,pred(sum(X0,X1)))) = X2
& ( n20 = X1
| n19 = X1
| n18 = X1
| n17 = X1
| n16 = X1
| n15 = X1
| n14 = X1
| n13 = X1
| n12 = X1
| n11 = X1
| n10 = X1
| n9 = X1
| n8 = X1
| n7 = X1
| n6 = X1
| n5 = X1
| n4 = X1
| n3 = X1
| n2 = X1
| n1 = X1
| n0 = X1 )
& ( n20 = X0
| n19 = X0
| n18 = X0
| n17 = X0
| n16 = X0
| n15 = X0
| n14 = X0
| n13 = X0
| n12 = X0
| n11 = X0
| n10 = X0
| n9 = X0
| n8 = X0
| n7 = X0
| n6 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 )
& n19 = sum(n20,n20)
& n18 = sum(n20,n19)
& n17 = sum(n20,n18)
& n16 = sum(n20,n17)
& n15 = sum(n20,n16)
& n14 = sum(n20,n15)
& n13 = sum(n20,n14)
& n12 = sum(n20,n13)
& n11 = sum(n20,n12)
& n10 = sum(n20,n11)
& n9 = sum(n20,n10)
& n8 = sum(n20,n9)
& n7 = sum(n20,n8)
& n6 = sum(n20,n7)
& n5 = sum(n20,n6)
& n4 = sum(n20,n5)
& n3 = sum(n20,n4)
& n2 = sum(n20,n3)
& n1 = sum(n20,n2)
& n0 = sum(n20,n1)
& n20 = sum(n20,n0)
& n18 = sum(n19,n20)
& n17 = sum(n19,n19)
& n16 = sum(n19,n18)
& n15 = sum(n19,n17)
& n14 = sum(n19,n16)
& n13 = sum(n19,n15)
& n12 = sum(n19,n14)
& n11 = sum(n19,n13)
& n10 = sum(n19,n12)
& n9 = sum(n19,n11)
& n8 = sum(n19,n10)
& n7 = sum(n19,n9)
& n6 = sum(n19,n8)
& n5 = sum(n19,n7)
& n4 = sum(n19,n6)
& n3 = sum(n19,n5)
& n2 = sum(n19,n4)
& n1 = sum(n19,n3)
& n0 = sum(n19,n2)
& n20 = sum(n19,n1)
& n19 = sum(n19,n0)
& n17 = sum(n18,n20)
& n16 = sum(n18,n19)
& n15 = sum(n18,n18)
& n14 = sum(n18,n17)
& n13 = sum(n18,n16)
& n12 = sum(n18,n15)
& n11 = sum(n18,n14)
& n10 = sum(n18,n13)
& n9 = sum(n18,n12)
& n8 = sum(n18,n11)
& n7 = sum(n18,n10)
& n6 = sum(n18,n9)
& n5 = sum(n18,n8)
& n4 = sum(n18,n7)
& n3 = sum(n18,n6)
& n2 = sum(n18,n5)
& n1 = sum(n18,n4)
& n0 = sum(n18,n3)
& n20 = sum(n18,n2)
& n19 = sum(n18,n1)
& n18 = sum(n18,n0)
& n16 = sum(n17,n20)
& n15 = sum(n17,n19)
& n14 = sum(n17,n18)
& n13 = sum(n17,n17)
& n12 = sum(n17,n16)
& n11 = sum(n17,n15)
& n10 = sum(n17,n14)
& n9 = sum(n17,n13)
& n8 = sum(n17,n12)
& n7 = sum(n17,n11)
& n6 = sum(n17,n10)
& n5 = sum(n17,n9)
& n4 = sum(n17,n8)
& n3 = sum(n17,n7)
& n2 = sum(n17,n6)
& n1 = sum(n17,n5)
& n0 = sum(n17,n4)
& n20 = sum(n17,n3)
& n19 = sum(n17,n2)
& n18 = sum(n17,n1)
& n17 = sum(n17,n0)
& n15 = sum(n16,n20)
& n14 = sum(n16,n19)
& n13 = sum(n16,n18)
& n12 = sum(n16,n17)
& n11 = sum(n16,n16)
& n10 = sum(n16,n15)
& n9 = sum(n16,n14)
& n8 = sum(n16,n13)
& n7 = sum(n16,n12)
& n6 = sum(n16,n11)
& n5 = sum(n16,n10)
& n4 = sum(n16,n9)
& n3 = sum(n16,n8)
& n2 = sum(n16,n7)
& n1 = sum(n16,n6)
& n0 = sum(n16,n5)
& n20 = sum(n16,n4)
& n19 = sum(n16,n3)
& n18 = sum(n16,n2)
& n17 = sum(n16,n1)
& n16 = sum(n16,n0)
& n14 = sum(n15,n20)
& n13 = sum(n15,n19)
& n12 = sum(n15,n18)
& n11 = sum(n15,n17)
& n10 = sum(n15,n16)
& n9 = sum(n15,n15)
& n8 = sum(n15,n14)
& n7 = sum(n15,n13)
& n6 = sum(n15,n12)
& n5 = sum(n15,n11)
& n4 = sum(n15,n10)
& n3 = sum(n15,n9)
& n2 = sum(n15,n8)
& n1 = sum(n15,n7)
& n0 = sum(n15,n6)
& n20 = sum(n15,n5)
& n19 = sum(n15,n4)
& n18 = sum(n15,n3)
& n17 = sum(n15,n2)
& n16 = sum(n15,n1)
& n15 = sum(n15,n0)
& n13 = sum(n14,n20)
& n12 = sum(n14,n19)
& n11 = sum(n14,n18)
& n10 = sum(n14,n17)
& n9 = sum(n14,n16)
& n8 = sum(n14,n15)
& n7 = sum(n14,n14)
& n6 = sum(n14,n13)
& n5 = sum(n14,n12)
& n4 = sum(n14,n11)
& n3 = sum(n14,n10)
& n2 = sum(n14,n9)
& n1 = sum(n14,n8)
& n0 = sum(n14,n7)
& n20 = sum(n14,n6)
& n19 = sum(n14,n5)
& n18 = sum(n14,n4)
& n17 = sum(n14,n3)
& n16 = sum(n14,n2)
& n15 = sum(n14,n1)
& n14 = sum(n14,n0)
& n12 = sum(n13,n20)
& n11 = sum(n13,n19)
& n10 = sum(n13,n18)
& n9 = sum(n13,n17)
& n8 = sum(n13,n16)
& n7 = sum(n13,n15)
& n6 = sum(n13,n14)
& n5 = sum(n13,n13)
& n4 = sum(n13,n12)
& n3 = sum(n13,n11)
& n2 = sum(n13,n10)
& n1 = sum(n13,n9)
& n0 = sum(n13,n8)
& n20 = sum(n13,n7)
& n19 = sum(n13,n6)
& n18 = sum(n13,n5)
& n17 = sum(n13,n4)
& n16 = sum(n13,n3)
& n15 = sum(n13,n2)
& n14 = sum(n13,n1)
& n13 = sum(n13,n0)
& n11 = sum(n12,n20)
& n10 = sum(n12,n19)
& n9 = sum(n12,n18)
& n8 = sum(n12,n17)
& n7 = sum(n12,n16)
& n6 = sum(n12,n15)
& n5 = sum(n12,n14)
& n4 = sum(n12,n13)
& n3 = sum(n12,n12)
& n2 = sum(n12,n11)
& n1 = sum(n12,n10)
& n0 = sum(n12,n9)
& n20 = sum(n12,n8)
& n19 = sum(n12,n7)
& n18 = sum(n12,n6)
& n17 = sum(n12,n5)
& n16 = sum(n12,n4)
& n15 = sum(n12,n3)
& n14 = sum(n12,n2)
& n13 = sum(n12,n1)
& n12 = sum(n12,n0)
& n10 = sum(n11,n20)
& n9 = sum(n11,n19)
& n8 = sum(n11,n18)
& n7 = sum(n11,n17)
& n6 = sum(n11,n16)
& n5 = sum(n11,n15)
& n4 = sum(n11,n14)
& n3 = sum(n11,n13)
& n2 = sum(n11,n12)
& n1 = sum(n11,n11)
& n0 = sum(n11,n10)
& n20 = sum(n11,n9)
& n19 = sum(n11,n8)
& n18 = sum(n11,n7)
& n17 = sum(n11,n6)
& n16 = sum(n11,n5)
& n15 = sum(n11,n4)
& n14 = sum(n11,n3)
& n13 = sum(n11,n2)
& n12 = sum(n11,n1)
& n11 = sum(n11,n0)
& n9 = sum(n10,n20)
& n8 = sum(n10,n19)
& n7 = sum(n10,n18)
& n6 = sum(n10,n17)
& n5 = sum(n10,n16)
& n4 = sum(n10,n15)
& n3 = sum(n10,n14)
& n2 = sum(n10,n13)
& n1 = sum(n10,n12)
& n0 = sum(n10,n11)
& n20 = sum(n10,n10)
& n19 = sum(n10,n9)
& n18 = sum(n10,n8)
& n17 = sum(n10,n7)
& n16 = sum(n10,n6)
& n15 = sum(n10,n5)
& n14 = sum(n10,n4)
& n13 = sum(n10,n3)
& n12 = sum(n10,n2)
& n11 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n20)
& n7 = sum(n9,n19)
& n6 = sum(n9,n18)
& n5 = sum(n9,n17)
& n4 = sum(n9,n16)
& n3 = sum(n9,n15)
& n2 = sum(n9,n14)
& n1 = sum(n9,n13)
& n0 = sum(n9,n12)
& n20 = sum(n9,n11)
& n19 = sum(n9,n10)
& n18 = sum(n9,n9)
& n17 = sum(n9,n8)
& n16 = sum(n9,n7)
& n15 = sum(n9,n6)
& n14 = sum(n9,n5)
& n13 = sum(n9,n4)
& n12 = sum(n9,n3)
& n11 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n20)
& n6 = sum(n8,n19)
& n5 = sum(n8,n18)
& n4 = sum(n8,n17)
& n3 = sum(n8,n16)
& n2 = sum(n8,n15)
& n1 = sum(n8,n14)
& n0 = sum(n8,n13)
& n20 = sum(n8,n12)
& n19 = sum(n8,n11)
& n18 = sum(n8,n10)
& n17 = sum(n8,n9)
& n16 = sum(n8,n8)
& n15 = sum(n8,n7)
& n14 = sum(n8,n6)
& n13 = sum(n8,n5)
& n12 = sum(n8,n4)
& n11 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n20)
& n5 = sum(n7,n19)
& n4 = sum(n7,n18)
& n3 = sum(n7,n17)
& n2 = sum(n7,n16)
& n1 = sum(n7,n15)
& n0 = sum(n7,n14)
& n20 = sum(n7,n13)
& n19 = sum(n7,n12)
& n18 = sum(n7,n11)
& n17 = sum(n7,n10)
& n16 = sum(n7,n9)
& n15 = sum(n7,n8)
& n14 = sum(n7,n7)
& n13 = sum(n7,n6)
& n12 = sum(n7,n5)
& n11 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n20)
& n4 = sum(n6,n19)
& n3 = sum(n6,n18)
& n2 = sum(n6,n17)
& n1 = sum(n6,n16)
& n0 = sum(n6,n15)
& n20 = sum(n6,n14)
& n19 = sum(n6,n13)
& n18 = sum(n6,n12)
& n17 = sum(n6,n11)
& n16 = sum(n6,n10)
& n15 = sum(n6,n9)
& n14 = sum(n6,n8)
& n13 = sum(n6,n7)
& n12 = sum(n6,n6)
& n11 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n20)
& n3 = sum(n5,n19)
& n2 = sum(n5,n18)
& n1 = sum(n5,n17)
& n0 = sum(n5,n16)
& n20 = sum(n5,n15)
& n19 = sum(n5,n14)
& n18 = sum(n5,n13)
& n17 = sum(n5,n12)
& n16 = sum(n5,n11)
& n15 = sum(n5,n10)
& n14 = sum(n5,n9)
& n13 = sum(n5,n8)
& n12 = sum(n5,n7)
& n11 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n20)
& n2 = sum(n4,n19)
& n1 = sum(n4,n18)
& n0 = sum(n4,n17)
& n20 = sum(n4,n16)
& n19 = sum(n4,n15)
& n18 = sum(n4,n14)
& n17 = sum(n4,n13)
& n16 = sum(n4,n12)
& n15 = sum(n4,n11)
& n14 = sum(n4,n10)
& n13 = sum(n4,n9)
& n12 = sum(n4,n8)
& n11 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n20)
& n1 = sum(n3,n19)
& n0 = sum(n3,n18)
& n20 = sum(n3,n17)
& n19 = sum(n3,n16)
& n18 = sum(n3,n15)
& n17 = sum(n3,n14)
& n16 = sum(n3,n13)
& n15 = sum(n3,n12)
& n14 = sum(n3,n11)
& n13 = sum(n3,n10)
& n12 = sum(n3,n9)
& n11 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n20)
& n0 = sum(n2,n19)
& n20 = sum(n2,n18)
& n19 = sum(n2,n17)
& n18 = sum(n2,n16)
& n17 = sum(n2,n15)
& n16 = sum(n2,n14)
& n15 = sum(n2,n13)
& n14 = sum(n2,n12)
& n13 = sum(n2,n11)
& n12 = sum(n2,n10)
& n11 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n20)
& n20 = sum(n1,n19)
& n19 = sum(n1,n18)
& n18 = sum(n1,n17)
& n17 = sum(n1,n16)
& n16 = sum(n1,n15)
& n15 = sum(n1,n14)
& n14 = sum(n1,n13)
& n13 = sum(n1,n12)
& n12 = sum(n1,n11)
& n11 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n20 = sum(n0,n20)
& n19 = sum(n0,n19)
& n18 = sum(n0,n18)
& n17 = sum(n0,n17)
& n16 = sum(n0,n16)
& n15 = sum(n0,n15)
& n14 = sum(n0,n14)
& n13 = sum(n0,n13)
& n12 = sum(n0,n12)
& n11 = sum(n0,n11)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n19 = pred(n20)
& n18 = pred(n19)
& n17 = pred(n18)
& n16 = pred(n17)
& n15 = pred(n16)
& n14 = pred(n15)
& n13 = pred(n14)
& n12 = pred(n13)
& n11 = pred(n12)
& n10 = pred(n11)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n20 = pred(n0)
& n0 = succ(n20)
& succ(n19) = n20
& succ(n18) = n19
& succ(n17) = n18
& succ(n16) = n17
& succ(n15) = n16
& succ(n14) = n15
& succ(n13) = n14
& succ(n12) = n13
& succ(n11) = n12
& succ(n10) = n11
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 )
=> ( n19 != n20
& n18 != n20
& n18 != n19
& n17 != n20
& n17 != n19
& n17 != n18
& n16 != n20
& n16 != n19
& n16 != n18
& n16 != n17
& n15 != n20
& n15 != n19
& n15 != n18
& n15 != n17
& n15 != n16
& n14 != n20
& n14 != n19
& n14 != n18
& n14 != n17
& n14 != n16
& n14 != n15
& n13 != n20
& n13 != n19
& n13 != n18
& n13 != n17
& n13 != n16
& n13 != n15
& n13 != n14
& n12 != n20
& n12 != n19
& n12 != n18
& n12 != n17
& n12 != n16
& n12 != n15
& n12 != n14
& n12 != n13
& n11 != n20
& n11 != n19
& n11 != n18
& n11 != n17
& n11 != n16
& n11 != n15
& n11 != n14
& n11 != n13
& n11 != n12
& n10 != n20
& n10 != n19
& n10 != n18
& n10 != n17
& n10 != n16
& n10 != n15
& n10 != n14
& n10 != n13
& n10 != n12
& n10 != n11
& n9 != n20
& n9 != n19
& n9 != n18
& n9 != n17
& n9 != n16
& n9 != n15
& n9 != n14
& n9 != n13
& n9 != n12
& n9 != n11
& n9 != n10
& n8 != n20
& n8 != n19
& n8 != n18
& n8 != n17
& n8 != n16
& n8 != n15
& n8 != n14
& n8 != n13
& n8 != n12
& n8 != n11
& n8 != n10
& n8 != n9
& n7 != n20
& n7 != n19
& n7 != n18
& n7 != n17
& n7 != n16
& n7 != n15
& n7 != n14
& n7 != n13
& n7 != n12
& n7 != n11
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n20
& n6 != n19
& n6 != n18
& n6 != n17
& n6 != n16
& n6 != n15
& n6 != n14
& n6 != n13
& n6 != n12
& n6 != n11
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n20
& n5 != n19
& n5 != n18
& n5 != n17
& n5 != n16
& n5 != n15
& n5 != n14
& n5 != n13
& n5 != n12
& n5 != n11
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n20
& n4 != n19
& n4 != n18
& n4 != n17
& n4 != n16
& n4 != n15
& n4 != n14
& n4 != n13
& n4 != n12
& n4 != n11
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n20
& n3 != n19
& n3 != n18
& n3 != n17
& n3 != n16
& n3 != n15
& n3 != n14
& n3 != n13
& n3 != n12
& n3 != n11
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n20
& n2 != n19
& n2 != n18
& n2 != n17
& n2 != n16
& n2 != n15
& n2 != n14
& n2 != n13
& n2 != n12
& n2 != n11
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n20
& n1 != n19
& n1 != n18
& n1 != n17
& n1 != n16
& n1 != n15
& n1 != n14
& n1 != n13
& n1 != n12
& n1 != n11
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n20
& n0 != n19
& n0 != n18
& n0 != n17
& n0 != n16
& n0 != n15
& n0 != n14
& n0 != n13
& n0 != n12
& n0 != n11
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& n20 != sK2
& n19 != sK2
& n18 != sK2
& n17 != sK2
& n16 != sK2
& n15 != sK2
& n14 != sK2
& n13 != sK2
& n12 != sK2
& n11 != sK2
& n10 != sK2
& n9 != sK2
& n8 != sK2
& n7 != sK2
& n6 != sK2
& n5 != sK2
& n4 != sK2
& n3 != sK2
& n2 != sK2
& n1 != sK2
& n0 != sK2
& sK2 = sum(pred(sum(sK0,succ(sK1))),sum(sK1,pred(sum(sK0,sK1))))
& ( n20 = sK1
| n19 = sK1
| n18 = sK1
| n17 = sK1
| n16 = sK1
| n15 = sK1
| n14 = sK1
| n13 = sK1
| n12 = sK1
| n11 = sK1
| n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 )
& ( n20 = sK0
| n19 = sK0
| n18 = sK0
| n17 = sK0
| n16 = sK0
| n15 = sK0
| n14 = sK0
| n13 = sK0
| n12 = sK0
| n11 = sK0
| n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 )
& n19 = sum(n20,n20)
& n18 = sum(n20,n19)
& n17 = sum(n20,n18)
& n16 = sum(n20,n17)
& n15 = sum(n20,n16)
& n14 = sum(n20,n15)
& n13 = sum(n20,n14)
& n12 = sum(n20,n13)
& n11 = sum(n20,n12)
& n10 = sum(n20,n11)
& n9 = sum(n20,n10)
& n8 = sum(n20,n9)
& n7 = sum(n20,n8)
& n6 = sum(n20,n7)
& n5 = sum(n20,n6)
& n4 = sum(n20,n5)
& n3 = sum(n20,n4)
& n2 = sum(n20,n3)
& n1 = sum(n20,n2)
& n0 = sum(n20,n1)
& n20 = sum(n20,n0)
& n18 = sum(n19,n20)
& n17 = sum(n19,n19)
& n16 = sum(n19,n18)
& n15 = sum(n19,n17)
& n14 = sum(n19,n16)
& n13 = sum(n19,n15)
& n12 = sum(n19,n14)
& n11 = sum(n19,n13)
& n10 = sum(n19,n12)
& n9 = sum(n19,n11)
& n8 = sum(n19,n10)
& n7 = sum(n19,n9)
& n6 = sum(n19,n8)
& n5 = sum(n19,n7)
& n4 = sum(n19,n6)
& n3 = sum(n19,n5)
& n2 = sum(n19,n4)
& n1 = sum(n19,n3)
& n0 = sum(n19,n2)
& n20 = sum(n19,n1)
& n19 = sum(n19,n0)
& n17 = sum(n18,n20)
& n16 = sum(n18,n19)
& n15 = sum(n18,n18)
& n14 = sum(n18,n17)
& n13 = sum(n18,n16)
& n12 = sum(n18,n15)
& n11 = sum(n18,n14)
& n10 = sum(n18,n13)
& n9 = sum(n18,n12)
& n8 = sum(n18,n11)
& n7 = sum(n18,n10)
& n6 = sum(n18,n9)
& n5 = sum(n18,n8)
& n4 = sum(n18,n7)
& n3 = sum(n18,n6)
& n2 = sum(n18,n5)
& n1 = sum(n18,n4)
& n0 = sum(n18,n3)
& n20 = sum(n18,n2)
& n19 = sum(n18,n1)
& n18 = sum(n18,n0)
& n16 = sum(n17,n20)
& n15 = sum(n17,n19)
& n14 = sum(n17,n18)
& n13 = sum(n17,n17)
& n12 = sum(n17,n16)
& n11 = sum(n17,n15)
& n10 = sum(n17,n14)
& n9 = sum(n17,n13)
& n8 = sum(n17,n12)
& n7 = sum(n17,n11)
& n6 = sum(n17,n10)
& n5 = sum(n17,n9)
& n4 = sum(n17,n8)
& n3 = sum(n17,n7)
& n2 = sum(n17,n6)
& n1 = sum(n17,n5)
& n0 = sum(n17,n4)
& n20 = sum(n17,n3)
& n19 = sum(n17,n2)
& n18 = sum(n17,n1)
& n17 = sum(n17,n0)
& n15 = sum(n16,n20)
& n14 = sum(n16,n19)
& n13 = sum(n16,n18)
& n12 = sum(n16,n17)
& n11 = sum(n16,n16)
& n10 = sum(n16,n15)
& n9 = sum(n16,n14)
& n8 = sum(n16,n13)
& n7 = sum(n16,n12)
& n6 = sum(n16,n11)
& n5 = sum(n16,n10)
& n4 = sum(n16,n9)
& n3 = sum(n16,n8)
& n2 = sum(n16,n7)
& n1 = sum(n16,n6)
& n0 = sum(n16,n5)
& n20 = sum(n16,n4)
& n19 = sum(n16,n3)
& n18 = sum(n16,n2)
& n17 = sum(n16,n1)
& n16 = sum(n16,n0)
& n14 = sum(n15,n20)
& n13 = sum(n15,n19)
& n12 = sum(n15,n18)
& n11 = sum(n15,n17)
& n10 = sum(n15,n16)
& n9 = sum(n15,n15)
& n8 = sum(n15,n14)
& n7 = sum(n15,n13)
& n6 = sum(n15,n12)
& n5 = sum(n15,n11)
& n4 = sum(n15,n10)
& n3 = sum(n15,n9)
& n2 = sum(n15,n8)
& n1 = sum(n15,n7)
& n0 = sum(n15,n6)
& n20 = sum(n15,n5)
& n19 = sum(n15,n4)
& n18 = sum(n15,n3)
& n17 = sum(n15,n2)
& n16 = sum(n15,n1)
& n15 = sum(n15,n0)
& n13 = sum(n14,n20)
& n12 = sum(n14,n19)
& n11 = sum(n14,n18)
& n10 = sum(n14,n17)
& n9 = sum(n14,n16)
& n8 = sum(n14,n15)
& n7 = sum(n14,n14)
& n6 = sum(n14,n13)
& n5 = sum(n14,n12)
& n4 = sum(n14,n11)
& n3 = sum(n14,n10)
& n2 = sum(n14,n9)
& n1 = sum(n14,n8)
& n0 = sum(n14,n7)
& n20 = sum(n14,n6)
& n19 = sum(n14,n5)
& n18 = sum(n14,n4)
& n17 = sum(n14,n3)
& n16 = sum(n14,n2)
& n15 = sum(n14,n1)
& n14 = sum(n14,n0)
& n12 = sum(n13,n20)
& n11 = sum(n13,n19)
& n10 = sum(n13,n18)
& n9 = sum(n13,n17)
& n8 = sum(n13,n16)
& n7 = sum(n13,n15)
& n6 = sum(n13,n14)
& n5 = sum(n13,n13)
& n4 = sum(n13,n12)
& n3 = sum(n13,n11)
& n2 = sum(n13,n10)
& n1 = sum(n13,n9)
& n0 = sum(n13,n8)
& n20 = sum(n13,n7)
& n19 = sum(n13,n6)
& n18 = sum(n13,n5)
& n17 = sum(n13,n4)
& n16 = sum(n13,n3)
& n15 = sum(n13,n2)
& n14 = sum(n13,n1)
& n13 = sum(n13,n0)
& n11 = sum(n12,n20)
& n10 = sum(n12,n19)
& n9 = sum(n12,n18)
& n8 = sum(n12,n17)
& n7 = sum(n12,n16)
& n6 = sum(n12,n15)
& n5 = sum(n12,n14)
& n4 = sum(n12,n13)
& n3 = sum(n12,n12)
& n2 = sum(n12,n11)
& n1 = sum(n12,n10)
& n0 = sum(n12,n9)
& n20 = sum(n12,n8)
& n19 = sum(n12,n7)
& n18 = sum(n12,n6)
& n17 = sum(n12,n5)
& n16 = sum(n12,n4)
& n15 = sum(n12,n3)
& n14 = sum(n12,n2)
& n13 = sum(n12,n1)
& n12 = sum(n12,n0)
& n10 = sum(n11,n20)
& n9 = sum(n11,n19)
& n8 = sum(n11,n18)
& n7 = sum(n11,n17)
& n6 = sum(n11,n16)
& n5 = sum(n11,n15)
& n4 = sum(n11,n14)
& n3 = sum(n11,n13)
& n2 = sum(n11,n12)
& n1 = sum(n11,n11)
& n0 = sum(n11,n10)
& n20 = sum(n11,n9)
& n19 = sum(n11,n8)
& n18 = sum(n11,n7)
& n17 = sum(n11,n6)
& n16 = sum(n11,n5)
& n15 = sum(n11,n4)
& n14 = sum(n11,n3)
& n13 = sum(n11,n2)
& n12 = sum(n11,n1)
& n11 = sum(n11,n0)
& n9 = sum(n10,n20)
& n8 = sum(n10,n19)
& n7 = sum(n10,n18)
& n6 = sum(n10,n17)
& n5 = sum(n10,n16)
& n4 = sum(n10,n15)
& n3 = sum(n10,n14)
& n2 = sum(n10,n13)
& n1 = sum(n10,n12)
& n0 = sum(n10,n11)
& n20 = sum(n10,n10)
& n19 = sum(n10,n9)
& n18 = sum(n10,n8)
& n17 = sum(n10,n7)
& n16 = sum(n10,n6)
& n15 = sum(n10,n5)
& n14 = sum(n10,n4)
& n13 = sum(n10,n3)
& n12 = sum(n10,n2)
& n11 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n20)
& n7 = sum(n9,n19)
& n6 = sum(n9,n18)
& n5 = sum(n9,n17)
& n4 = sum(n9,n16)
& n3 = sum(n9,n15)
& n2 = sum(n9,n14)
& n1 = sum(n9,n13)
& n0 = sum(n9,n12)
& n20 = sum(n9,n11)
& n19 = sum(n9,n10)
& n18 = sum(n9,n9)
& n17 = sum(n9,n8)
& n16 = sum(n9,n7)
& n15 = sum(n9,n6)
& n14 = sum(n9,n5)
& n13 = sum(n9,n4)
& n12 = sum(n9,n3)
& n11 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n20)
& n6 = sum(n8,n19)
& n5 = sum(n8,n18)
& n4 = sum(n8,n17)
& n3 = sum(n8,n16)
& n2 = sum(n8,n15)
& n1 = sum(n8,n14)
& n0 = sum(n8,n13)
& n20 = sum(n8,n12)
& n19 = sum(n8,n11)
& n18 = sum(n8,n10)
& n17 = sum(n8,n9)
& n16 = sum(n8,n8)
& n15 = sum(n8,n7)
& n14 = sum(n8,n6)
& n13 = sum(n8,n5)
& n12 = sum(n8,n4)
& n11 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n20)
& n5 = sum(n7,n19)
& n4 = sum(n7,n18)
& n3 = sum(n7,n17)
& n2 = sum(n7,n16)
& n1 = sum(n7,n15)
& n0 = sum(n7,n14)
& n20 = sum(n7,n13)
& n19 = sum(n7,n12)
& n18 = sum(n7,n11)
& n17 = sum(n7,n10)
& n16 = sum(n7,n9)
& n15 = sum(n7,n8)
& n14 = sum(n7,n7)
& n13 = sum(n7,n6)
& n12 = sum(n7,n5)
& n11 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n20)
& n4 = sum(n6,n19)
& n3 = sum(n6,n18)
& n2 = sum(n6,n17)
& n1 = sum(n6,n16)
& n0 = sum(n6,n15)
& n20 = sum(n6,n14)
& n19 = sum(n6,n13)
& n18 = sum(n6,n12)
& n17 = sum(n6,n11)
& n16 = sum(n6,n10)
& n15 = sum(n6,n9)
& n14 = sum(n6,n8)
& n13 = sum(n6,n7)
& n12 = sum(n6,n6)
& n11 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n20)
& n3 = sum(n5,n19)
& n2 = sum(n5,n18)
& n1 = sum(n5,n17)
& n0 = sum(n5,n16)
& n20 = sum(n5,n15)
& n19 = sum(n5,n14)
& n18 = sum(n5,n13)
& n17 = sum(n5,n12)
& n16 = sum(n5,n11)
& n15 = sum(n5,n10)
& n14 = sum(n5,n9)
& n13 = sum(n5,n8)
& n12 = sum(n5,n7)
& n11 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n20)
& n2 = sum(n4,n19)
& n1 = sum(n4,n18)
& n0 = sum(n4,n17)
& n20 = sum(n4,n16)
& n19 = sum(n4,n15)
& n18 = sum(n4,n14)
& n17 = sum(n4,n13)
& n16 = sum(n4,n12)
& n15 = sum(n4,n11)
& n14 = sum(n4,n10)
& n13 = sum(n4,n9)
& n12 = sum(n4,n8)
& n11 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n20)
& n1 = sum(n3,n19)
& n0 = sum(n3,n18)
& n20 = sum(n3,n17)
& n19 = sum(n3,n16)
& n18 = sum(n3,n15)
& n17 = sum(n3,n14)
& n16 = sum(n3,n13)
& n15 = sum(n3,n12)
& n14 = sum(n3,n11)
& n13 = sum(n3,n10)
& n12 = sum(n3,n9)
& n11 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n20)
& n0 = sum(n2,n19)
& n20 = sum(n2,n18)
& n19 = sum(n2,n17)
& n18 = sum(n2,n16)
& n17 = sum(n2,n15)
& n16 = sum(n2,n14)
& n15 = sum(n2,n13)
& n14 = sum(n2,n12)
& n13 = sum(n2,n11)
& n12 = sum(n2,n10)
& n11 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n20)
& n20 = sum(n1,n19)
& n19 = sum(n1,n18)
& n18 = sum(n1,n17)
& n17 = sum(n1,n16)
& n16 = sum(n1,n15)
& n15 = sum(n1,n14)
& n14 = sum(n1,n13)
& n13 = sum(n1,n12)
& n12 = sum(n1,n11)
& n11 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n20 = sum(n0,n20)
& n19 = sum(n0,n19)
& n18 = sum(n0,n18)
& n17 = sum(n0,n17)
& n16 = sum(n0,n16)
& n15 = sum(n0,n15)
& n14 = sum(n0,n14)
& n13 = sum(n0,n13)
& n12 = sum(n0,n12)
& n11 = sum(n0,n11)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n19 = pred(n20)
& n18 = pred(n19)
& n17 = pred(n18)
& n16 = pred(n17)
& n15 = pred(n16)
& n14 = pred(n15)
& n13 = pred(n14)
& n12 = pred(n13)
& n11 = pred(n12)
& n10 = pred(n11)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n20 = pred(n0)
& n0 = succ(n20)
& succ(n19) = n20
& succ(n18) = n19
& succ(n17) = n18
& succ(n16) = n17
& succ(n15) = n16
& succ(n14) = n15
& succ(n13) = n14
& succ(n12) = n13
& succ(n11) = n12
& succ(n10) = n11
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0,X1,X2] :
( n19 != n20
& n18 != n20
& n18 != n19
& n17 != n20
& n17 != n19
& n17 != n18
& n16 != n20
& n16 != n19
& n16 != n18
& n16 != n17
& n15 != n20
& n15 != n19
& n15 != n18
& n15 != n17
& n15 != n16
& n14 != n20
& n14 != n19
& n14 != n18
& n14 != n17
& n14 != n16
& n14 != n15
& n13 != n20
& n13 != n19
& n13 != n18
& n13 != n17
& n13 != n16
& n13 != n15
& n13 != n14
& n12 != n20
& n12 != n19
& n12 != n18
& n12 != n17
& n12 != n16
& n12 != n15
& n12 != n14
& n12 != n13
& n11 != n20
& n11 != n19
& n11 != n18
& n11 != n17
& n11 != n16
& n11 != n15
& n11 != n14
& n11 != n13
& n11 != n12
& n10 != n20
& n10 != n19
& n10 != n18
& n10 != n17
& n10 != n16
& n10 != n15
& n10 != n14
& n10 != n13
& n10 != n12
& n10 != n11
& n9 != n20
& n9 != n19
& n9 != n18
& n9 != n17
& n9 != n16
& n9 != n15
& n9 != n14
& n9 != n13
& n9 != n12
& n9 != n11
& n9 != n10
& n8 != n20
& n8 != n19
& n8 != n18
& n8 != n17
& n8 != n16
& n8 != n15
& n8 != n14
& n8 != n13
& n8 != n12
& n8 != n11
& n8 != n10
& n8 != n9
& n7 != n20
& n7 != n19
& n7 != n18
& n7 != n17
& n7 != n16
& n7 != n15
& n7 != n14
& n7 != n13
& n7 != n12
& n7 != n11
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n20
& n6 != n19
& n6 != n18
& n6 != n17
& n6 != n16
& n6 != n15
& n6 != n14
& n6 != n13
& n6 != n12
& n6 != n11
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n20
& n5 != n19
& n5 != n18
& n5 != n17
& n5 != n16
& n5 != n15
& n5 != n14
& n5 != n13
& n5 != n12
& n5 != n11
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n20
& n4 != n19
& n4 != n18
& n4 != n17
& n4 != n16
& n4 != n15
& n4 != n14
& n4 != n13
& n4 != n12
& n4 != n11
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n20
& n3 != n19
& n3 != n18
& n3 != n17
& n3 != n16
& n3 != n15
& n3 != n14
& n3 != n13
& n3 != n12
& n3 != n11
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n20
& n2 != n19
& n2 != n18
& n2 != n17
& n2 != n16
& n2 != n15
& n2 != n14
& n2 != n13
& n2 != n12
& n2 != n11
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n20
& n1 != n19
& n1 != n18
& n1 != n17
& n1 != n16
& n1 != n15
& n1 != n14
& n1 != n13
& n1 != n12
& n1 != n11
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n20
& n0 != n19
& n0 != n18
& n0 != n17
& n0 != n16
& n0 != n15
& n0 != n14
& n0 != n13
& n0 != n12
& n0 != n11
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& n20 != X2
& n19 != X2
& n18 != X2
& n17 != X2
& n16 != X2
& n15 != X2
& n14 != X2
& n13 != X2
& n12 != X2
& n11 != X2
& n10 != X2
& n9 != X2
& n8 != X2
& n7 != X2
& n6 != X2
& n5 != X2
& n4 != X2
& n3 != X2
& n2 != X2
& n1 != X2
& n0 != X2
& sum(pred(sum(X0,succ(X1))),sum(X1,pred(sum(X0,X1)))) = X2
& ( n20 = X1
| n19 = X1
| n18 = X1
| n17 = X1
| n16 = X1
| n15 = X1
| n14 = X1
| n13 = X1
| n12 = X1
| n11 = X1
| n10 = X1
| n9 = X1
| n8 = X1
| n7 = X1
| n6 = X1
| n5 = X1
| n4 = X1
| n3 = X1
| n2 = X1
| n1 = X1
| n0 = X1 )
& ( n20 = X0
| n19 = X0
| n18 = X0
| n17 = X0
| n16 = X0
| n15 = X0
| n14 = X0
| n13 = X0
| n12 = X0
| n11 = X0
| n10 = X0
| n9 = X0
| n8 = X0
| n7 = X0
| n6 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 )
& n19 = sum(n20,n20)
& n18 = sum(n20,n19)
& n17 = sum(n20,n18)
& n16 = sum(n20,n17)
& n15 = sum(n20,n16)
& n14 = sum(n20,n15)
& n13 = sum(n20,n14)
& n12 = sum(n20,n13)
& n11 = sum(n20,n12)
& n10 = sum(n20,n11)
& n9 = sum(n20,n10)
& n8 = sum(n20,n9)
& n7 = sum(n20,n8)
& n6 = sum(n20,n7)
& n5 = sum(n20,n6)
& n4 = sum(n20,n5)
& n3 = sum(n20,n4)
& n2 = sum(n20,n3)
& n1 = sum(n20,n2)
& n0 = sum(n20,n1)
& n20 = sum(n20,n0)
& n18 = sum(n19,n20)
& n17 = sum(n19,n19)
& n16 = sum(n19,n18)
& n15 = sum(n19,n17)
& n14 = sum(n19,n16)
& n13 = sum(n19,n15)
& n12 = sum(n19,n14)
& n11 = sum(n19,n13)
& n10 = sum(n19,n12)
& n9 = sum(n19,n11)
& n8 = sum(n19,n10)
& n7 = sum(n19,n9)
& n6 = sum(n19,n8)
& n5 = sum(n19,n7)
& n4 = sum(n19,n6)
& n3 = sum(n19,n5)
& n2 = sum(n19,n4)
& n1 = sum(n19,n3)
& n0 = sum(n19,n2)
& n20 = sum(n19,n1)
& n19 = sum(n19,n0)
& n17 = sum(n18,n20)
& n16 = sum(n18,n19)
& n15 = sum(n18,n18)
& n14 = sum(n18,n17)
& n13 = sum(n18,n16)
& n12 = sum(n18,n15)
& n11 = sum(n18,n14)
& n10 = sum(n18,n13)
& n9 = sum(n18,n12)
& n8 = sum(n18,n11)
& n7 = sum(n18,n10)
& n6 = sum(n18,n9)
& n5 = sum(n18,n8)
& n4 = sum(n18,n7)
& n3 = sum(n18,n6)
& n2 = sum(n18,n5)
& n1 = sum(n18,n4)
& n0 = sum(n18,n3)
& n20 = sum(n18,n2)
& n19 = sum(n18,n1)
& n18 = sum(n18,n0)
& n16 = sum(n17,n20)
& n15 = sum(n17,n19)
& n14 = sum(n17,n18)
& n13 = sum(n17,n17)
& n12 = sum(n17,n16)
& n11 = sum(n17,n15)
& n10 = sum(n17,n14)
& n9 = sum(n17,n13)
& n8 = sum(n17,n12)
& n7 = sum(n17,n11)
& n6 = sum(n17,n10)
& n5 = sum(n17,n9)
& n4 = sum(n17,n8)
& n3 = sum(n17,n7)
& n2 = sum(n17,n6)
& n1 = sum(n17,n5)
& n0 = sum(n17,n4)
& n20 = sum(n17,n3)
& n19 = sum(n17,n2)
& n18 = sum(n17,n1)
& n17 = sum(n17,n0)
& n15 = sum(n16,n20)
& n14 = sum(n16,n19)
& n13 = sum(n16,n18)
& n12 = sum(n16,n17)
& n11 = sum(n16,n16)
& n10 = sum(n16,n15)
& n9 = sum(n16,n14)
& n8 = sum(n16,n13)
& n7 = sum(n16,n12)
& n6 = sum(n16,n11)
& n5 = sum(n16,n10)
& n4 = sum(n16,n9)
& n3 = sum(n16,n8)
& n2 = sum(n16,n7)
& n1 = sum(n16,n6)
& n0 = sum(n16,n5)
& n20 = sum(n16,n4)
& n19 = sum(n16,n3)
& n18 = sum(n16,n2)
& n17 = sum(n16,n1)
& n16 = sum(n16,n0)
& n14 = sum(n15,n20)
& n13 = sum(n15,n19)
& n12 = sum(n15,n18)
& n11 = sum(n15,n17)
& n10 = sum(n15,n16)
& n9 = sum(n15,n15)
& n8 = sum(n15,n14)
& n7 = sum(n15,n13)
& n6 = sum(n15,n12)
& n5 = sum(n15,n11)
& n4 = sum(n15,n10)
& n3 = sum(n15,n9)
& n2 = sum(n15,n8)
& n1 = sum(n15,n7)
& n0 = sum(n15,n6)
& n20 = sum(n15,n5)
& n19 = sum(n15,n4)
& n18 = sum(n15,n3)
& n17 = sum(n15,n2)
& n16 = sum(n15,n1)
& n15 = sum(n15,n0)
& n13 = sum(n14,n20)
& n12 = sum(n14,n19)
& n11 = sum(n14,n18)
& n10 = sum(n14,n17)
& n9 = sum(n14,n16)
& n8 = sum(n14,n15)
& n7 = sum(n14,n14)
& n6 = sum(n14,n13)
& n5 = sum(n14,n12)
& n4 = sum(n14,n11)
& n3 = sum(n14,n10)
& n2 = sum(n14,n9)
& n1 = sum(n14,n8)
& n0 = sum(n14,n7)
& n20 = sum(n14,n6)
& n19 = sum(n14,n5)
& n18 = sum(n14,n4)
& n17 = sum(n14,n3)
& n16 = sum(n14,n2)
& n15 = sum(n14,n1)
& n14 = sum(n14,n0)
& n12 = sum(n13,n20)
& n11 = sum(n13,n19)
& n10 = sum(n13,n18)
& n9 = sum(n13,n17)
& n8 = sum(n13,n16)
& n7 = sum(n13,n15)
& n6 = sum(n13,n14)
& n5 = sum(n13,n13)
& n4 = sum(n13,n12)
& n3 = sum(n13,n11)
& n2 = sum(n13,n10)
& n1 = sum(n13,n9)
& n0 = sum(n13,n8)
& n20 = sum(n13,n7)
& n19 = sum(n13,n6)
& n18 = sum(n13,n5)
& n17 = sum(n13,n4)
& n16 = sum(n13,n3)
& n15 = sum(n13,n2)
& n14 = sum(n13,n1)
& n13 = sum(n13,n0)
& n11 = sum(n12,n20)
& n10 = sum(n12,n19)
& n9 = sum(n12,n18)
& n8 = sum(n12,n17)
& n7 = sum(n12,n16)
& n6 = sum(n12,n15)
& n5 = sum(n12,n14)
& n4 = sum(n12,n13)
& n3 = sum(n12,n12)
& n2 = sum(n12,n11)
& n1 = sum(n12,n10)
& n0 = sum(n12,n9)
& n20 = sum(n12,n8)
& n19 = sum(n12,n7)
& n18 = sum(n12,n6)
& n17 = sum(n12,n5)
& n16 = sum(n12,n4)
& n15 = sum(n12,n3)
& n14 = sum(n12,n2)
& n13 = sum(n12,n1)
& n12 = sum(n12,n0)
& n10 = sum(n11,n20)
& n9 = sum(n11,n19)
& n8 = sum(n11,n18)
& n7 = sum(n11,n17)
& n6 = sum(n11,n16)
& n5 = sum(n11,n15)
& n4 = sum(n11,n14)
& n3 = sum(n11,n13)
& n2 = sum(n11,n12)
& n1 = sum(n11,n11)
& n0 = sum(n11,n10)
& n20 = sum(n11,n9)
& n19 = sum(n11,n8)
& n18 = sum(n11,n7)
& n17 = sum(n11,n6)
& n16 = sum(n11,n5)
& n15 = sum(n11,n4)
& n14 = sum(n11,n3)
& n13 = sum(n11,n2)
& n12 = sum(n11,n1)
& n11 = sum(n11,n0)
& n9 = sum(n10,n20)
& n8 = sum(n10,n19)
& n7 = sum(n10,n18)
& n6 = sum(n10,n17)
& n5 = sum(n10,n16)
& n4 = sum(n10,n15)
& n3 = sum(n10,n14)
& n2 = sum(n10,n13)
& n1 = sum(n10,n12)
& n0 = sum(n10,n11)
& n20 = sum(n10,n10)
& n19 = sum(n10,n9)
& n18 = sum(n10,n8)
& n17 = sum(n10,n7)
& n16 = sum(n10,n6)
& n15 = sum(n10,n5)
& n14 = sum(n10,n4)
& n13 = sum(n10,n3)
& n12 = sum(n10,n2)
& n11 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n20)
& n7 = sum(n9,n19)
& n6 = sum(n9,n18)
& n5 = sum(n9,n17)
& n4 = sum(n9,n16)
& n3 = sum(n9,n15)
& n2 = sum(n9,n14)
& n1 = sum(n9,n13)
& n0 = sum(n9,n12)
& n20 = sum(n9,n11)
& n19 = sum(n9,n10)
& n18 = sum(n9,n9)
& n17 = sum(n9,n8)
& n16 = sum(n9,n7)
& n15 = sum(n9,n6)
& n14 = sum(n9,n5)
& n13 = sum(n9,n4)
& n12 = sum(n9,n3)
& n11 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n20)
& n6 = sum(n8,n19)
& n5 = sum(n8,n18)
& n4 = sum(n8,n17)
& n3 = sum(n8,n16)
& n2 = sum(n8,n15)
& n1 = sum(n8,n14)
& n0 = sum(n8,n13)
& n20 = sum(n8,n12)
& n19 = sum(n8,n11)
& n18 = sum(n8,n10)
& n17 = sum(n8,n9)
& n16 = sum(n8,n8)
& n15 = sum(n8,n7)
& n14 = sum(n8,n6)
& n13 = sum(n8,n5)
& n12 = sum(n8,n4)
& n11 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n20)
& n5 = sum(n7,n19)
& n4 = sum(n7,n18)
& n3 = sum(n7,n17)
& n2 = sum(n7,n16)
& n1 = sum(n7,n15)
& n0 = sum(n7,n14)
& n20 = sum(n7,n13)
& n19 = sum(n7,n12)
& n18 = sum(n7,n11)
& n17 = sum(n7,n10)
& n16 = sum(n7,n9)
& n15 = sum(n7,n8)
& n14 = sum(n7,n7)
& n13 = sum(n7,n6)
& n12 = sum(n7,n5)
& n11 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n20)
& n4 = sum(n6,n19)
& n3 = sum(n6,n18)
& n2 = sum(n6,n17)
& n1 = sum(n6,n16)
& n0 = sum(n6,n15)
& n20 = sum(n6,n14)
& n19 = sum(n6,n13)
& n18 = sum(n6,n12)
& n17 = sum(n6,n11)
& n16 = sum(n6,n10)
& n15 = sum(n6,n9)
& n14 = sum(n6,n8)
& n13 = sum(n6,n7)
& n12 = sum(n6,n6)
& n11 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n20)
& n3 = sum(n5,n19)
& n2 = sum(n5,n18)
& n1 = sum(n5,n17)
& n0 = sum(n5,n16)
& n20 = sum(n5,n15)
& n19 = sum(n5,n14)
& n18 = sum(n5,n13)
& n17 = sum(n5,n12)
& n16 = sum(n5,n11)
& n15 = sum(n5,n10)
& n14 = sum(n5,n9)
& n13 = sum(n5,n8)
& n12 = sum(n5,n7)
& n11 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n20)
& n2 = sum(n4,n19)
& n1 = sum(n4,n18)
& n0 = sum(n4,n17)
& n20 = sum(n4,n16)
& n19 = sum(n4,n15)
& n18 = sum(n4,n14)
& n17 = sum(n4,n13)
& n16 = sum(n4,n12)
& n15 = sum(n4,n11)
& n14 = sum(n4,n10)
& n13 = sum(n4,n9)
& n12 = sum(n4,n8)
& n11 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n20)
& n1 = sum(n3,n19)
& n0 = sum(n3,n18)
& n20 = sum(n3,n17)
& n19 = sum(n3,n16)
& n18 = sum(n3,n15)
& n17 = sum(n3,n14)
& n16 = sum(n3,n13)
& n15 = sum(n3,n12)
& n14 = sum(n3,n11)
& n13 = sum(n3,n10)
& n12 = sum(n3,n9)
& n11 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n20)
& n0 = sum(n2,n19)
& n20 = sum(n2,n18)
& n19 = sum(n2,n17)
& n18 = sum(n2,n16)
& n17 = sum(n2,n15)
& n16 = sum(n2,n14)
& n15 = sum(n2,n13)
& n14 = sum(n2,n12)
& n13 = sum(n2,n11)
& n12 = sum(n2,n10)
& n11 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n20)
& n20 = sum(n1,n19)
& n19 = sum(n1,n18)
& n18 = sum(n1,n17)
& n17 = sum(n1,n16)
& n16 = sum(n1,n15)
& n15 = sum(n1,n14)
& n14 = sum(n1,n13)
& n13 = sum(n1,n12)
& n12 = sum(n1,n11)
& n11 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n20 = sum(n0,n20)
& n19 = sum(n0,n19)
& n18 = sum(n0,n18)
& n17 = sum(n0,n17)
& n16 = sum(n0,n16)
& n15 = sum(n0,n15)
& n14 = sum(n0,n14)
& n13 = sum(n0,n13)
& n12 = sum(n0,n12)
& n11 = sum(n0,n11)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n19 = pred(n20)
& n18 = pred(n19)
& n17 = pred(n18)
& n16 = pred(n17)
& n15 = pred(n16)
& n14 = pred(n15)
& n13 = pred(n14)
& n12 = pred(n13)
& n11 = pred(n12)
& n10 = pred(n11)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n20 = pred(n0)
& n0 = succ(n20)
& succ(n19) = n20
& succ(n18) = n19
& succ(n17) = n18
& succ(n16) = n17
& succ(n15) = n16
& succ(n14) = n15
& succ(n13) = n14
& succ(n12) = n13
& succ(n11) = n12
& succ(n10) = n11
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',try_satisfy_this) ).
fof(f13708,plain,
( n10 = sK2
| ~ spl3_5
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13707,f317]) ).
fof(f317,plain,
n10 = sum(n12,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f13707,plain,
( sum(n12,n19) = sK2
| ~ spl3_5
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13706,f38]) ).
fof(f38,plain,
n12 = pred(n13),
inference(cnf_transformation,[],[f3]) ).
fof(f13706,plain,
( sK2 = sum(pred(n13),n19)
| ~ spl3_5
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13705,f139]) ).
fof(f139,plain,
n13 = sum(n4,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f13705,plain,
( sK2 = sum(pred(sum(n4,n9)),n19)
| ~ spl3_5
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13704,f12]) ).
fof(f12,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f3]) ).
fof(f13704,plain,
( sK2 = sum(pred(sum(n4,succ(n8))),n19)
| ~ spl3_5
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13703,f225]) ).
fof(f225,plain,
n19 = sum(n8,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f13703,plain,
( sK2 = sum(pred(sum(n4,succ(n8))),sum(n8,n11))
| ~ spl3_5
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13702,f37]) ).
fof(f37,plain,
n11 = pred(n12),
inference(cnf_transformation,[],[f3]) ).
fof(f13702,plain,
( sK2 = sum(pred(sum(n4,succ(n8))),sum(n8,pred(n12)))
| ~ spl3_5
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13701,f138]) ).
fof(f138,plain,
n12 = sum(n4,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f13701,plain,
( sK2 = sum(pred(sum(n4,succ(n8))),sum(n8,pred(sum(n4,n8))))
| ~ spl3_5
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13684,f862]) ).
fof(f862,plain,
( n8 = sK1
| ~ spl3_30 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f860,plain,
( spl3_30
<=> n8 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).
fof(f13684,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f489,f740]) ).
fof(f740,plain,
( n4 = sK0
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f738,plain,
( spl3_5
<=> n4 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f489,plain,
sK2 = sum(pred(sum(sK0,succ(sK1))),sum(sK1,pred(sum(sK0,sK1)))),
inference(cnf_transformation,[],[f3]) ).
fof(f13682,plain,
( ~ spl3_3
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f13681]) ).
fof(f13681,plain,
( $false
| ~ spl3_3
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f13680,f496]) ).
fof(f496,plain,
n6 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f13680,plain,
( n6 = sK2
| ~ spl3_3
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13679,f273]) ).
fof(f273,plain,
n6 = sum(n10,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f13679,plain,
( sum(n10,n17) = sK2
| ~ spl3_3
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13678,f36]) ).
fof(f36,plain,
n10 = pred(n11),
inference(cnf_transformation,[],[f3]) ).
fof(f13678,plain,
( sK2 = sum(pred(n11),n17)
| ~ spl3_3
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13677,f97]) ).
fof(f97,plain,
n11 = sum(n2,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f13677,plain,
( sK2 = sum(pred(sum(n2,n9)),n17)
| ~ spl3_3
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13676,f12]) ).
fof(f13676,plain,
( sK2 = sum(pred(sum(n2,succ(n8))),n17)
| ~ spl3_3
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13675,f223]) ).
fof(f223,plain,
n17 = sum(n8,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f13675,plain,
( sK2 = sum(pred(sum(n2,succ(n8))),sum(n8,n9))
| ~ spl3_3
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13674,f35]) ).
fof(f35,plain,
n9 = pred(n10),
inference(cnf_transformation,[],[f3]) ).
fof(f13674,plain,
( sK2 = sum(pred(sum(n2,succ(n8))),sum(n8,pred(n10)))
| ~ spl3_3
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13673,f96]) ).
fof(f96,plain,
n10 = sum(n2,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f13673,plain,
( sK2 = sum(pred(sum(n2,succ(n8))),sum(n8,pred(sum(n2,n8))))
| ~ spl3_3
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13657,f732]) ).
fof(f732,plain,
( n2 = sK0
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f730,plain,
( spl3_3
<=> n2 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f13657,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_30 ),
inference(superposition,[],[f489,f862]) ).
fof(f13635,plain,
( ~ spl3_5
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f13634]) ).
fof(f13634,plain,
( $false
| ~ spl3_5
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f13633,f491]) ).
fof(f491,plain,
n1 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f13633,plain,
( n1 = sK2
| ~ spl3_5
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13632,f388]) ).
fof(f388,plain,
n1 = sum(n16,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f13632,plain,
( sum(n16,n6) = sK2
| ~ spl3_5
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13631,f42]) ).
fof(f42,plain,
n16 = pred(n17),
inference(cnf_transformation,[],[f3]) ).
fof(f13631,plain,
( sK2 = sum(pred(n17),n6)
| ~ spl3_5
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13630,f143]) ).
fof(f143,plain,
n17 = sum(n4,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f13630,plain,
( sK2 = sum(pred(sum(n4,n13)),n6)
| ~ spl3_5
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13629,f16]) ).
fof(f16,plain,
succ(n12) = n13,
inference(cnf_transformation,[],[f3]) ).
fof(f13629,plain,
( sK2 = sum(pred(sum(n4,succ(n12))),n6)
| ~ spl3_5
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13628,f313]) ).
fof(f313,plain,
n6 = sum(n12,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f13628,plain,
( sK2 = sum(pred(sum(n4,succ(n12))),sum(n12,n15))
| ~ spl3_5
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13627,f41]) ).
fof(f41,plain,
n15 = pred(n16),
inference(cnf_transformation,[],[f3]) ).
fof(f13627,plain,
( sK2 = sum(pred(sum(n4,succ(n12))),sum(n12,pred(n16)))
| ~ spl3_5
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13626,f142]) ).
fof(f142,plain,
n16 = sum(n4,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f13626,plain,
( sK2 = sum(pred(sum(n4,succ(n12))),sum(n12,pred(sum(n4,n12))))
| ~ spl3_5
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13609,f878]) ).
fof(f878,plain,
( n12 = sK1
| ~ spl3_34 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f876,plain,
( spl3_34
<=> n12 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_34])]) ).
fof(f13609,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f489,f740]) ).
fof(f13607,plain,
( ~ spl3_3
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f13606]) ).
fof(f13606,plain,
( $false
| ~ spl3_3
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f13605,f508]) ).
fof(f508,plain,
n18 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f13605,plain,
( n18 = sK2
| ~ spl3_3
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13604,f344]) ).
fof(f344,plain,
n18 = sum(n14,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f13604,plain,
( sum(n14,n4) = sK2
| ~ spl3_3
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13603,f40]) ).
fof(f40,plain,
n14 = pred(n15),
inference(cnf_transformation,[],[f3]) ).
fof(f13603,plain,
( sK2 = sum(pred(n15),n4)
| ~ spl3_3
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13602,f101]) ).
fof(f101,plain,
n15 = sum(n2,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f13602,plain,
( sK2 = sum(pred(sum(n2,n13)),n4)
| ~ spl3_3
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13601,f16]) ).
fof(f13601,plain,
( sK2 = sum(pred(sum(n2,succ(n12))),n4)
| ~ spl3_3
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13600,f311]) ).
fof(f311,plain,
n4 = sum(n12,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f13600,plain,
( sK2 = sum(pred(sum(n2,succ(n12))),sum(n12,n13))
| ~ spl3_3
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13599,f39]) ).
fof(f39,plain,
n13 = pred(n14),
inference(cnf_transformation,[],[f3]) ).
fof(f13599,plain,
( sK2 = sum(pred(sum(n2,succ(n12))),sum(n12,pred(n14)))
| ~ spl3_3
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13598,f100]) ).
fof(f100,plain,
n14 = sum(n2,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f13598,plain,
( sK2 = sum(pred(sum(n2,succ(n12))),sum(n12,pred(sum(n2,n12))))
| ~ spl3_3
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13581,f732]) ).
fof(f13581,plain,
( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
| ~ spl3_34 ),
inference(superposition,[],[f489,f878]) ).
fof(f13575,plain,
( ~ spl3_3
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f13574]) ).
fof(f13574,plain,
( $false
| ~ spl3_3
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f13573,f502]) ).
fof(f502,plain,
n12 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f13573,plain,
( n12 = sK2
| ~ spl3_3
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13572,f158]) ).
fof(f158,plain,
n12 = sum(n5,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f13572,plain,
( sum(n5,n7) = sK2
| ~ spl3_3
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13571,f31]) ).
fof(f31,plain,
n5 = pred(n6),
inference(cnf_transformation,[],[f3]) ).
fof(f13571,plain,
( sK2 = sum(pred(n6),n7)
| ~ spl3_3
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13570,f92]) ).
fof(f92,plain,
n6 = sum(n2,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f13570,plain,
( sK2 = sum(pred(sum(n2,n4)),n7)
| ~ spl3_3
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13569,f7]) ).
fof(f7,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f3]) ).
fof(f13569,plain,
( sK2 = sum(pred(sum(n2,succ(n3))),n7)
| ~ spl3_3
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13568,f113]) ).
fof(f113,plain,
n7 = sum(n3,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f13568,plain,
( sK2 = sum(pred(sum(n2,succ(n3))),sum(n3,n4))
| ~ spl3_3
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13567,f30]) ).
fof(f30,plain,
n4 = pred(n5),
inference(cnf_transformation,[],[f3]) ).
fof(f13567,plain,
( sK2 = sum(pred(sum(n2,succ(n3))),sum(n3,pred(n5)))
| ~ spl3_3
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13566,f91]) ).
fof(f91,plain,
n5 = sum(n2,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f13566,plain,
( sK2 = sum(pred(sum(n2,succ(n3))),sum(n3,pred(sum(n2,n3))))
| ~ spl3_3
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13550,f842]) ).
fof(f842,plain,
( n3 = sK1
| ~ spl3_25 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f840,plain,
( spl3_25
<=> n3 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).
fof(f13550,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f489,f732]) ).
fof(f13549,plain,
( ~ spl3_5
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f13548]) ).
fof(f13548,plain,
( $false
| ~ spl3_5
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f13547,f506]) ).
fof(f506,plain,
n16 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f13547,plain,
( n16 = sK2
| ~ spl3_5
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13546,f202]) ).
fof(f202,plain,
n16 = sum(n7,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f13546,plain,
( sum(n7,n9) = sK2
| ~ spl3_5
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13545,f33]) ).
fof(f33,plain,
n7 = pred(n8),
inference(cnf_transformation,[],[f3]) ).
fof(f13545,plain,
( sK2 = sum(pred(n8),n9)
| ~ spl3_5
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13544,f134]) ).
fof(f134,plain,
n8 = sum(n4,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f13544,plain,
( sK2 = sum(pred(sum(n4,n4)),n9)
| ~ spl3_5
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13543,f7]) ).
fof(f13543,plain,
( sK2 = sum(pred(sum(n4,succ(n3))),n9)
| ~ spl3_5
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13542,f115]) ).
fof(f115,plain,
n9 = sum(n3,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f13542,plain,
( sK2 = sum(pred(sum(n4,succ(n3))),sum(n3,n6))
| ~ spl3_5
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13541,f32]) ).
fof(f32,plain,
n6 = pred(n7),
inference(cnf_transformation,[],[f3]) ).
fof(f13541,plain,
( sK2 = sum(pred(sum(n4,succ(n3))),sum(n3,pred(n7)))
| ~ spl3_5
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13540,f133]) ).
fof(f133,plain,
n7 = sum(n4,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f13540,plain,
( sK2 = sum(pred(sum(n4,succ(n3))),sum(n3,pred(sum(n4,n3))))
| ~ spl3_5
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13523,f842]) ).
fof(f13523,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f489,f740]) ).
fof(f13521,plain,
( ~ spl3_1
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f13520]) ).
fof(f13520,plain,
( $false
| ~ spl3_1
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f13519,f498]) ).
fof(f498,plain,
n8 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f13519,plain,
( n8 = sK2
| ~ spl3_1
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13518,f114]) ).
fof(f114,plain,
n8 = sum(n3,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f13518,plain,
( sum(n3,n5) = sK2
| ~ spl3_1
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13517,f29]) ).
fof(f29,plain,
n3 = pred(n4),
inference(cnf_transformation,[],[f3]) ).
fof(f13517,plain,
( sK2 = sum(pred(n4),n5)
| ~ spl3_1
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13516,f50]) ).
fof(f50,plain,
n4 = sum(n0,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f13516,plain,
( sK2 = sum(pred(sum(n0,n4)),n5)
| ~ spl3_1
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13515,f7]) ).
fof(f13515,plain,
( sK2 = sum(pred(sum(n0,succ(n3))),n5)
| ~ spl3_1
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13514,f111]) ).
fof(f111,plain,
n5 = sum(n3,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f13514,plain,
( sK2 = sum(pred(sum(n0,succ(n3))),sum(n3,n2))
| ~ spl3_1
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13513,f28]) ).
fof(f28,plain,
n2 = pred(n3),
inference(cnf_transformation,[],[f3]) ).
fof(f13513,plain,
( sK2 = sum(pred(sum(n0,succ(n3))),sum(n3,pred(n3)))
| ~ spl3_1
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13512,f49]) ).
fof(f49,plain,
n3 = sum(n0,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f13512,plain,
( sK2 = sum(pred(sum(n0,succ(n3))),sum(n3,pred(sum(n0,n3))))
| ~ spl3_1
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13497,f724]) ).
fof(f724,plain,
( n0 = sK0
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f722,plain,
( spl3_1
<=> n0 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f13497,plain,
( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
| ~ spl3_25 ),
inference(superposition,[],[f489,f842]) ).
fof(f13496,plain,
( ~ spl3_1
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f13495]) ).
fof(f13495,plain,
( $false
| ~ spl3_1
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f13494,f492]) ).
fof(f492,plain,
n2 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f13494,plain,
( n2 = sK2
| ~ spl3_1
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13493,f229]) ).
fof(f229,plain,
n2 = sum(n8,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f13493,plain,
( sum(n8,n15) = sK2
| ~ spl3_1
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13492,f34]) ).
fof(f34,plain,
n8 = pred(n9),
inference(cnf_transformation,[],[f3]) ).
fof(f13492,plain,
( sK2 = sum(pred(n9),n15)
| ~ spl3_1
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13491,f55]) ).
fof(f55,plain,
n9 = sum(n0,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f13491,plain,
( sK2 = sum(pred(sum(n0,n9)),n15)
| ~ spl3_1
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13490,f12]) ).
fof(f13490,plain,
( sK2 = sum(pred(sum(n0,succ(n8))),n15)
| ~ spl3_1
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13489,f221]) ).
fof(f221,plain,
n15 = sum(n8,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f13489,plain,
( sK2 = sum(pred(sum(n0,succ(n8))),sum(n8,n7))
| ~ spl3_1
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13488,f33]) ).
fof(f13488,plain,
( sK2 = sum(pred(sum(n0,succ(n8))),sum(n8,pred(n8)))
| ~ spl3_1
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13487,f54]) ).
fof(f54,plain,
n8 = sum(n0,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f13487,plain,
( sK2 = sum(pred(sum(n0,succ(n8))),sum(n8,pred(sum(n0,n8))))
| ~ spl3_1
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13471,f724]) ).
fof(f13471,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_30 ),
inference(superposition,[],[f489,f862]) ).
fof(f13470,plain,
( ~ spl3_1
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f13469]) ).
fof(f13469,plain,
( $false
| ~ spl3_1
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f13468,f504]) ).
fof(f504,plain,
n14 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f13468,plain,
( n14 = sK2
| ~ spl3_1
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13467,f300]) ).
fof(f300,plain,
n14 = sum(n12,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f13467,plain,
( sum(n12,n2) = sK2
| ~ spl3_1
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13466,f38]) ).
fof(f13466,plain,
( sK2 = sum(pred(n13),n2)
| ~ spl3_1
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13465,f59]) ).
fof(f59,plain,
n13 = sum(n0,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f13465,plain,
( sK2 = sum(pred(sum(n0,n13)),n2)
| ~ spl3_1
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13464,f16]) ).
fof(f13464,plain,
( sK2 = sum(pred(sum(n0,succ(n12))),n2)
| ~ spl3_1
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13463,f309]) ).
fof(f309,plain,
n2 = sum(n12,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f13463,plain,
( sK2 = sum(pred(sum(n0,succ(n12))),sum(n12,n11))
| ~ spl3_1
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13462,f37]) ).
fof(f13462,plain,
( sK2 = sum(pred(sum(n0,succ(n12))),sum(n12,pred(n12)))
| ~ spl3_1
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13461,f58]) ).
fof(f58,plain,
n12 = sum(n0,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f13461,plain,
( sK2 = sum(pred(sum(n0,succ(n12))),sum(n12,pred(sum(n0,n12))))
| ~ spl3_1
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13444,f724]) ).
fof(f13444,plain,
( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
| ~ spl3_34 ),
inference(superposition,[],[f489,f878]) ).
fof(f13422,plain,
( ~ spl3_3
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f13421]) ).
fof(f13421,plain,
( $false
| ~ spl3_3
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f13420,f499]) ).
fof(f499,plain,
n9 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f13420,plain,
( n9 = sK2
| ~ spl3_3
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13419,f436]) ).
fof(f436,plain,
n9 = sum(n18,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f13419,plain,
( sum(n18,n12) = sK2
| ~ spl3_3
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13418,f44]) ).
fof(f44,plain,
n18 = pred(n19),
inference(cnf_transformation,[],[f3]) ).
fof(f13418,plain,
( sK2 = sum(pred(n19),n12)
| ~ spl3_3
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13417,f105]) ).
fof(f105,plain,
n19 = sum(n2,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f13417,plain,
( sK2 = sum(pred(sum(n2,n17)),n12)
| ~ spl3_3
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13416,f20]) ).
fof(f20,plain,
succ(n16) = n17,
inference(cnf_transformation,[],[f3]) ).
fof(f13416,plain,
( sK2 = sum(pred(sum(n2,succ(n16))),n12)
| ~ spl3_3
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13415,f399]) ).
fof(f399,plain,
n12 = sum(n16,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f13415,plain,
( sK2 = sum(pred(sum(n2,succ(n16))),sum(n16,n17))
| ~ spl3_3
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13414,f43]) ).
fof(f43,plain,
n17 = pred(n18),
inference(cnf_transformation,[],[f3]) ).
fof(f13414,plain,
( sK2 = sum(pred(sum(n2,succ(n16))),sum(n16,pred(n18)))
| ~ spl3_3
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13413,f104]) ).
fof(f104,plain,
n18 = sum(n2,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f13413,plain,
( sK2 = sum(pred(sum(n2,succ(n16))),sum(n16,pred(sum(n2,n16))))
| ~ spl3_3
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13397,f894]) ).
fof(f894,plain,
( n16 = sK1
| ~ spl3_38 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f892,plain,
( spl3_38
<=> n16 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_38])]) ).
fof(f13397,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f489,f732]) ).
fof(f13396,plain,
( ~ spl3_1
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f13395]) ).
fof(f13395,plain,
( $false
| ~ spl3_1
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f13394,f495]) ).
fof(f495,plain,
n5 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f13394,plain,
( n5 = sK2
| ~ spl3_1
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13393,f392]) ).
fof(f392,plain,
n5 = sum(n16,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f13393,plain,
( sum(n16,n10) = sK2
| ~ spl3_1
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13392,f42]) ).
fof(f13392,plain,
( sK2 = sum(pred(n17),n10)
| ~ spl3_1
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13391,f63]) ).
fof(f63,plain,
n17 = sum(n0,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f13391,plain,
( sK2 = sum(pred(sum(n0,n17)),n10)
| ~ spl3_1
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13390,f20]) ).
fof(f13390,plain,
( sK2 = sum(pred(sum(n0,succ(n16))),n10)
| ~ spl3_1
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13389,f397]) ).
fof(f397,plain,
n10 = sum(n16,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f13389,plain,
( sK2 = sum(pred(sum(n0,succ(n16))),sum(n16,n15))
| ~ spl3_1
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13388,f41]) ).
fof(f13388,plain,
( sK2 = sum(pred(sum(n0,succ(n16))),sum(n16,pred(n16)))
| ~ spl3_1
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13387,f62]) ).
fof(f62,plain,
n16 = sum(n0,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f13387,plain,
( sK2 = sum(pred(sum(n0,succ(n16))),sum(n16,pred(sum(n0,n16))))
| ~ spl3_1
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13371,f894]) ).
fof(f13371,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f489,f724]) ).
fof(f13369,plain,
( ~ spl3_5
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f13368]) ).
fof(f13368,plain,
( $false
| ~ spl3_5
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f13367,f503]) ).
fof(f503,plain,
n13 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f13367,plain,
( n13 = sK2
| ~ spl3_5
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13366,f480]) ).
fof(f480,plain,
n13 = sum(n20,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f13366,plain,
( sum(n20,n14) = sK2
| ~ spl3_5
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13365,f25]) ).
fof(f25,plain,
n20 = pred(n0),
inference(cnf_transformation,[],[f3]) ).
fof(f13365,plain,
( sK2 = sum(pred(n0),n14)
| ~ spl3_5
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13364,f147]) ).
fof(f147,plain,
n0 = sum(n4,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f13364,plain,
( sK2 = sum(pred(sum(n4,n17)),n14)
| ~ spl3_5
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13363,f20]) ).
fof(f13363,plain,
( sK2 = sum(pred(sum(n4,succ(n16))),n14)
| ~ spl3_5
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13362,f401]) ).
fof(f401,plain,
n14 = sum(n16,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f13362,plain,
( sK2 = sum(pred(sum(n4,succ(n16))),sum(n16,n19))
| ~ spl3_5
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13361,f45]) ).
fof(f45,plain,
n19 = pred(n20),
inference(cnf_transformation,[],[f3]) ).
fof(f13361,plain,
( sK2 = sum(pred(sum(n4,succ(n16))),sum(n16,pred(n20)))
| ~ spl3_5
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13360,f146]) ).
fof(f146,plain,
n20 = sum(n4,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f13360,plain,
( sK2 = sum(pred(sum(n4,succ(n16))),sum(n16,pred(sum(n4,n16))))
| ~ spl3_5
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13342,f740]) ).
fof(f13342,plain,
( sK2 = sum(pred(sum(sK0,succ(n16))),sum(n16,pred(sum(sK0,n16))))
| ~ spl3_38 ),
inference(superposition,[],[f489,f894]) ).
fof(f13320,plain,
( ~ spl3_4
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f13319]) ).
fof(f13319,plain,
( $false
| ~ spl3_4
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f13318,f510]) ).
fof(f510,plain,
n20 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f13318,plain,
( n20 = sK2
| ~ spl3_4
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13317,f366]) ).
fof(f366,plain,
n20 = sum(n15,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f13317,plain,
( sum(n15,n5) = sK2
| ~ spl3_4
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13316,f41]) ).
fof(f13316,plain,
( sK2 = sum(pred(n16),n5)
| ~ spl3_4
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13315,f122]) ).
fof(f122,plain,
n16 = sum(n3,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f13315,plain,
( sK2 = sum(pred(sum(n3,n13)),n5)
| ~ spl3_4
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13314,f16]) ).
fof(f13314,plain,
( sK2 = sum(pred(sum(n3,succ(n12))),n5)
| ~ spl3_4
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13313,f312]) ).
fof(f312,plain,
n5 = sum(n12,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f13313,plain,
( sK2 = sum(pred(sum(n3,succ(n12))),sum(n12,n14))
| ~ spl3_4
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13312,f40]) ).
fof(f13312,plain,
( sK2 = sum(pred(sum(n3,succ(n12))),sum(n12,pred(n15)))
| ~ spl3_4
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13311,f121]) ).
fof(f121,plain,
n15 = sum(n3,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f13311,plain,
( sK2 = sum(pred(sum(n3,succ(n12))),sum(n12,pred(sum(n3,n12))))
| ~ spl3_4
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13294,f736]) ).
fof(f736,plain,
( n3 = sK0
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f734,plain,
( spl3_4
<=> n3 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f13294,plain,
( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
| ~ spl3_34 ),
inference(superposition,[],[f489,f878]) ).
fof(f13293,plain,
( ~ spl3_4
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f13292]) ).
fof(f13292,plain,
( $false
| ~ spl3_4
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f13291,f498]) ).
fof(f13291,plain,
( n8 = sK2
| ~ spl3_4
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13290,f295]) ).
fof(f295,plain,
n8 = sum(n11,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f13290,plain,
( sum(n11,n18) = sK2
| ~ spl3_4
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13289,f37]) ).
fof(f13289,plain,
( sK2 = sum(pred(n12),n18)
| ~ spl3_4
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13288,f118]) ).
fof(f118,plain,
n12 = sum(n3,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f13288,plain,
( sK2 = sum(pred(sum(n3,n9)),n18)
| ~ spl3_4
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13287,f12]) ).
fof(f13287,plain,
( sK2 = sum(pred(sum(n3,succ(n8))),n18)
| ~ spl3_4
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13286,f224]) ).
fof(f224,plain,
n18 = sum(n8,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f13286,plain,
( sK2 = sum(pred(sum(n3,succ(n8))),sum(n8,n10))
| ~ spl3_4
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13285,f36]) ).
fof(f13285,plain,
( sK2 = sum(pred(sum(n3,succ(n8))),sum(n8,pred(n11)))
| ~ spl3_4
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13284,f117]) ).
fof(f117,plain,
n11 = sum(n3,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f13284,plain,
( sK2 = sum(pred(sum(n3,succ(n8))),sum(n8,pred(sum(n3,n8))))
| ~ spl3_4
| ~ spl3_30 ),
inference(forward_demodulation,[],[f13267,f736]) ).
fof(f13267,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_30 ),
inference(superposition,[],[f489,f862]) ).
fof(f13266,plain,
( ~ spl3_4
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f13265]) ).
fof(f13265,plain,
( $false
| ~ spl3_4
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f13264,f501]) ).
fof(f501,plain,
n11 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f13264,plain,
( n11 = sK2
| ~ spl3_4
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13263,f458]) ).
fof(f458,plain,
n11 = sum(n19,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f13263,plain,
( sum(n19,n13) = sK2
| ~ spl3_4
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13262,f45]) ).
fof(f13262,plain,
( sK2 = sum(pred(n20),n13)
| ~ spl3_4
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13261,f126]) ).
fof(f126,plain,
n20 = sum(n3,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f13261,plain,
( sK2 = sum(pred(sum(n3,n17)),n13)
| ~ spl3_4
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13260,f20]) ).
fof(f13260,plain,
( sK2 = sum(pred(sum(n3,succ(n16))),n13)
| ~ spl3_4
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13259,f400]) ).
fof(f400,plain,
n13 = sum(n16,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f13259,plain,
( sK2 = sum(pred(sum(n3,succ(n16))),sum(n16,n18))
| ~ spl3_4
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13258,f44]) ).
fof(f13258,plain,
( sK2 = sum(pred(sum(n3,succ(n16))),sum(n16,pred(n19)))
| ~ spl3_4
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13257,f125]) ).
fof(f125,plain,
n19 = sum(n3,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f13257,plain,
( sK2 = sum(pred(sum(n3,succ(n16))),sum(n16,pred(sum(n3,n16))))
| ~ spl3_4
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13239,f736]) ).
fof(f13239,plain,
( sK2 = sum(pred(sum(sK0,succ(n16))),sum(n16,pred(sum(sK0,n16))))
| ~ spl3_38 ),
inference(superposition,[],[f489,f894]) ).
fof(f13238,plain,
( ~ spl3_4
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f13237]) ).
fof(f13237,plain,
( $false
| ~ spl3_4
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f13236,f504]) ).
fof(f13236,plain,
( n14 = sK2
| ~ spl3_4
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13235,f180]) ).
fof(f180,plain,
n14 = sum(n6,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f13235,plain,
( sum(n6,n8) = sK2
| ~ spl3_4
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13234,f32]) ).
fof(f13234,plain,
( sK2 = sum(pred(n7),n8)
| ~ spl3_4
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13233,f113]) ).
fof(f13233,plain,
( sK2 = sum(pred(sum(n3,n4)),n8)
| ~ spl3_4
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13232,f7]) ).
fof(f13232,plain,
( sK2 = sum(pred(sum(n3,succ(n3))),n8)
| ~ spl3_4
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13231,f114]) ).
fof(f13231,plain,
( sK2 = sum(pred(sum(n3,succ(n3))),sum(n3,n5))
| ~ spl3_4
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13230,f31]) ).
fof(f13230,plain,
( sK2 = sum(pred(sum(n3,succ(n3))),sum(n3,pred(n6)))
| ~ spl3_4
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13229,f112]) ).
fof(f112,plain,
n6 = sum(n3,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f13229,plain,
( sK2 = sum(pred(sum(n3,succ(n3))),sum(n3,pred(sum(n3,n3))))
| ~ spl3_4
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13213,f736]) ).
fof(f13213,plain,
( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
| ~ spl3_25 ),
inference(superposition,[],[f489,f842]) ).
fof(f13191,plain,
( ~ spl3_5
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f13190]) ).
fof(f13190,plain,
( $false
| ~ spl3_5
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f13189,f494]) ).
fof(f494,plain,
n4 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f13189,plain,
( n4 = sK2
| ~ spl3_5
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13188,f271]) ).
fof(f271,plain,
n4 = sum(n10,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f13188,plain,
( sum(n10,n15) = sK2
| ~ spl3_5
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13187,f36]) ).
fof(f13187,plain,
( sK2 = sum(pred(n11),n15)
| ~ spl3_5
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13186,f137]) ).
fof(f137,plain,
n11 = sum(n4,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f13186,plain,
( sK2 = sum(pred(sum(n4,n7)),n15)
| ~ spl3_5
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13185,f10]) ).
fof(f10,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f3]) ).
fof(f13185,plain,
( sK2 = sum(pred(sum(n4,succ(n6))),n15)
| ~ spl3_5
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13184,f181]) ).
fof(f181,plain,
n15 = sum(n6,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f13184,plain,
( sK2 = sum(pred(sum(n4,succ(n6))),sum(n6,n9))
| ~ spl3_5
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13183,f35]) ).
fof(f13183,plain,
( sK2 = sum(pred(sum(n4,succ(n6))),sum(n6,pred(n10)))
| ~ spl3_5
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13182,f136]) ).
fof(f136,plain,
n10 = sum(n4,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f13182,plain,
( sK2 = sum(pred(sum(n4,succ(n6))),sum(n6,pred(sum(n4,n6))))
| ~ spl3_5
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13165,f854]) ).
fof(f854,plain,
( n6 = sK1
| ~ spl3_28 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f852,plain,
( spl3_28
<=> n6 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_28])]) ).
fof(f13165,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f489,f740]) ).
fof(f13164,plain,
( ~ spl3_1
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f13163]) ).
fof(f13163,plain,
( $false
| ~ spl3_1
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f13162,f507]) ).
fof(f507,plain,
n17 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f13162,plain,
( n17 = sK2
| ~ spl3_1
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13161,f183]) ).
fof(f183,plain,
n17 = sum(n6,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f13161,plain,
( sum(n6,n11) = sK2
| ~ spl3_1
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13160,f32]) ).
fof(f13160,plain,
( sK2 = sum(pred(n7),n11)
| ~ spl3_1
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13159,f53]) ).
fof(f53,plain,
n7 = sum(n0,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f13159,plain,
( sK2 = sum(pred(sum(n0,n7)),n11)
| ~ spl3_1
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13158,f10]) ).
fof(f13158,plain,
( sK2 = sum(pred(sum(n0,succ(n6))),n11)
| ~ spl3_1
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13157,f177]) ).
fof(f177,plain,
n11 = sum(n6,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f13157,plain,
( sK2 = sum(pred(sum(n0,succ(n6))),sum(n6,n5))
| ~ spl3_1
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13156,f31]) ).
fof(f13156,plain,
( sK2 = sum(pred(sum(n0,succ(n6))),sum(n6,pred(n6)))
| ~ spl3_1
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13155,f52]) ).
fof(f52,plain,
n6 = sum(n0,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f13155,plain,
( sK2 = sum(pred(sum(n0,succ(n6))),sum(n6,pred(sum(n0,n6))))
| ~ spl3_1
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13140,f854]) ).
fof(f13140,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f489,f724]) ).
fof(f13139,plain,
( ~ spl3_3
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f13138]) ).
fof(f13138,plain,
( $false
| ~ spl3_3
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f13137,f490]) ).
fof(f490,plain,
n0 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f13137,plain,
( n0 = sK2
| ~ spl3_3
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13136,f227]) ).
fof(f227,plain,
n0 = sum(n8,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f13136,plain,
( sum(n8,n13) = sK2
| ~ spl3_3
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13135,f34]) ).
fof(f13135,plain,
( sK2 = sum(pred(n9),n13)
| ~ spl3_3
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13134,f95]) ).
fof(f95,plain,
n9 = sum(n2,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f13134,plain,
( sK2 = sum(pred(sum(n2,n7)),n13)
| ~ spl3_3
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13133,f10]) ).
fof(f13133,plain,
( sK2 = sum(pred(sum(n2,succ(n6))),n13)
| ~ spl3_3
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13132,f179]) ).
fof(f179,plain,
n13 = sum(n6,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f13132,plain,
( sK2 = sum(pred(sum(n2,succ(n6))),sum(n6,n7))
| ~ spl3_3
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13131,f33]) ).
fof(f13131,plain,
( sK2 = sum(pred(sum(n2,succ(n6))),sum(n6,pred(n8)))
| ~ spl3_3
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13130,f94]) ).
fof(f94,plain,
n8 = sum(n2,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f13130,plain,
( sK2 = sum(pred(sum(n2,succ(n6))),sum(n6,pred(sum(n2,n6))))
| ~ spl3_3
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13114,f854]) ).
fof(f13114,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f489,f732]) ).
fof(f13113,plain,
( ~ spl3_4
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f13112]) ).
fof(f13112,plain,
( $false
| ~ spl3_4
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f13111,f492]) ).
fof(f13111,plain,
( n2 = sK2
| ~ spl3_4
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13110,f249]) ).
fof(f249,plain,
n2 = sum(n9,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f13110,plain,
( sum(n9,n14) = sK2
| ~ spl3_4
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13109,f35]) ).
fof(f13109,plain,
( sK2 = sum(pred(n10),n14)
| ~ spl3_4
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13108,f116]) ).
fof(f116,plain,
n10 = sum(n3,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f13108,plain,
( sK2 = sum(pred(sum(n3,n7)),n14)
| ~ spl3_4
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13107,f10]) ).
fof(f13107,plain,
( sK2 = sum(pred(sum(n3,succ(n6))),n14)
| ~ spl3_4
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13106,f180]) ).
fof(f13106,plain,
( sK2 = sum(pred(sum(n3,succ(n6))),sum(n6,n8))
| ~ spl3_4
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13105,f34]) ).
fof(f13105,plain,
( sK2 = sum(pred(sum(n3,succ(n6))),sum(n6,pred(n9)))
| ~ spl3_4
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13104,f115]) ).
fof(f13104,plain,
( sK2 = sum(pred(sum(n3,succ(n6))),sum(n6,pred(sum(n3,n6))))
| ~ spl3_4
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13087,f854]) ).
fof(f13087,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f489,f736]) ).
fof(f13085,plain,
( ~ spl3_6
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f13084]) ).
fof(f13084,plain,
( $false
| ~ spl3_6
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f13083,f496]) ).
fof(f13083,plain,
( n6 = sK2
| ~ spl3_6
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13082,f293]) ).
fof(f293,plain,
n6 = sum(n11,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f13082,plain,
( sum(n11,n16) = sK2
| ~ spl3_6
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13081,f37]) ).
fof(f13081,plain,
( sK2 = sum(pred(n12),n16)
| ~ spl3_6
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13080,f158]) ).
fof(f13080,plain,
( sK2 = sum(pred(sum(n5,n7)),n16)
| ~ spl3_6
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13079,f10]) ).
fof(f13079,plain,
( sK2 = sum(pred(sum(n5,succ(n6))),n16)
| ~ spl3_6
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13078,f182]) ).
fof(f182,plain,
n16 = sum(n6,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f13078,plain,
( sK2 = sum(pred(sum(n5,succ(n6))),sum(n6,n10))
| ~ spl3_6
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13077,f36]) ).
fof(f13077,plain,
( sK2 = sum(pred(sum(n5,succ(n6))),sum(n6,pred(n11)))
| ~ spl3_6
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13076,f157]) ).
fof(f157,plain,
n11 = sum(n5,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f13076,plain,
( sK2 = sum(pred(sum(n5,succ(n6))),sum(n6,pred(sum(n5,n6))))
| ~ spl3_6
| ~ spl3_28 ),
inference(forward_demodulation,[],[f13059,f744]) ).
fof(f744,plain,
( n5 = sK0
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f742,plain,
( spl3_6
<=> n5 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f13059,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_28 ),
inference(superposition,[],[f489,f854]) ).
fof(f13058,plain,
( ~ spl3_6
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f13057]) ).
fof(f13057,plain,
( $false
| ~ spl3_6
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f13056,f508]) ).
fof(f13056,plain,
( n18 = sK2
| ~ spl3_6
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13055,f224]) ).
fof(f13055,plain,
( sum(n8,n10) = sK2
| ~ spl3_6
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13054,f34]) ).
fof(f13054,plain,
( sK2 = sum(pred(n9),n10)
| ~ spl3_6
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13053,f155]) ).
fof(f155,plain,
n9 = sum(n5,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f13053,plain,
( sK2 = sum(pred(sum(n5,n4)),n10)
| ~ spl3_6
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13052,f7]) ).
fof(f13052,plain,
( sK2 = sum(pred(sum(n5,succ(n3))),n10)
| ~ spl3_6
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13051,f116]) ).
fof(f13051,plain,
( sK2 = sum(pred(sum(n5,succ(n3))),sum(n3,n7))
| ~ spl3_6
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13050,f33]) ).
fof(f13050,plain,
( sK2 = sum(pred(sum(n5,succ(n3))),sum(n3,pred(n8)))
| ~ spl3_6
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13049,f154]) ).
fof(f154,plain,
n8 = sum(n5,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f13049,plain,
( sK2 = sum(pred(sum(n5,succ(n3))),sum(n3,pred(sum(n5,n3))))
| ~ spl3_6
| ~ spl3_25 ),
inference(forward_demodulation,[],[f13032,f744]) ).
fof(f13032,plain,
( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
| ~ spl3_25 ),
inference(superposition,[],[f489,f842]) ).
fof(f13031,plain,
( ~ spl3_6
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f13030]) ).
fof(f13030,plain,
( $false
| ~ spl3_6
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f13029,f505]) ).
fof(f505,plain,
n15 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f13029,plain,
( n15 = sK2
| ~ spl3_6
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13028,f61]) ).
fof(f61,plain,
n15 = sum(n0,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f13028,plain,
( sum(n0,n15) = sK2
| ~ spl3_6
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13027,f26]) ).
fof(f26,plain,
n0 = pred(n1),
inference(cnf_transformation,[],[f3]) ).
fof(f13027,plain,
( sK2 = sum(pred(n1),n15)
| ~ spl3_6
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13026,f168]) ).
fof(f168,plain,
n1 = sum(n5,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f13026,plain,
( sK2 = sum(pred(sum(n5,n17)),n15)
| ~ spl3_6
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13025,f20]) ).
fof(f13025,plain,
( sK2 = sum(pred(sum(n5,succ(n16))),n15)
| ~ spl3_6
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13024,f402]) ).
fof(f402,plain,
n15 = sum(n16,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f13024,plain,
( sK2 = sum(pred(sum(n5,succ(n16))),sum(n16,n20))
| ~ spl3_6
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13023,f25]) ).
fof(f13023,plain,
( sK2 = sum(pred(sum(n5,succ(n16))),sum(n16,pred(n0)))
| ~ spl3_6
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13022,f167]) ).
fof(f167,plain,
n0 = sum(n5,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f13022,plain,
( sK2 = sum(pred(sum(n5,succ(n16))),sum(n16,pred(sum(n5,n16))))
| ~ spl3_6
| ~ spl3_38 ),
inference(forward_demodulation,[],[f13004,f744]) ).
fof(f13004,plain,
( sK2 = sum(pred(sum(sK0,succ(n16))),sum(n16,pred(sum(sK0,n16))))
| ~ spl3_38 ),
inference(superposition,[],[f489,f894]) ).
fof(f13003,plain,
( ~ spl3_6
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f13002]) ).
fof(f13002,plain,
( $false
| ~ spl3_6
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f13001,f493]) ).
fof(f493,plain,
n3 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f13001,plain,
( n3 = sK2
| ~ spl3_6
| ~ spl3_34 ),
inference(forward_demodulation,[],[f13000,f410]) ).
fof(f410,plain,
n3 = sum(n17,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f13000,plain,
( sum(n17,n7) = sK2
| ~ spl3_6
| ~ spl3_34 ),
inference(forward_demodulation,[],[f12999,f43]) ).
fof(f12999,plain,
( sK2 = sum(pred(n18),n7)
| ~ spl3_6
| ~ spl3_34 ),
inference(forward_demodulation,[],[f12998,f164]) ).
fof(f164,plain,
n18 = sum(n5,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f12998,plain,
( sK2 = sum(pred(sum(n5,n13)),n7)
| ~ spl3_6
| ~ spl3_34 ),
inference(forward_demodulation,[],[f12997,f16]) ).
fof(f12997,plain,
( sK2 = sum(pred(sum(n5,succ(n12))),n7)
| ~ spl3_6
| ~ spl3_34 ),
inference(forward_demodulation,[],[f12996,f314]) ).
fof(f314,plain,
n7 = sum(n12,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f12996,plain,
( sK2 = sum(pred(sum(n5,succ(n12))),sum(n12,n16))
| ~ spl3_6
| ~ spl3_34 ),
inference(forward_demodulation,[],[f12995,f42]) ).
fof(f12995,plain,
( sK2 = sum(pred(sum(n5,succ(n12))),sum(n12,pred(n17)))
| ~ spl3_6
| ~ spl3_34 ),
inference(forward_demodulation,[],[f12994,f163]) ).
fof(f163,plain,
n17 = sum(n5,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f12994,plain,
( sK2 = sum(pred(sum(n5,succ(n12))),sum(n12,pred(sum(n5,n12))))
| ~ spl3_6
| ~ spl3_34 ),
inference(forward_demodulation,[],[f12977,f744]) ).
fof(f12977,plain,
( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
| ~ spl3_34 ),
inference(superposition,[],[f489,f878]) ).
fof(f12976,plain,
( ~ spl3_6
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f12975]) ).
fof(f12975,plain,
( $false
| ~ spl3_6
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f12974,f502]) ).
fof(f12974,plain,
( n12 = sK2
| ~ spl3_6
| ~ spl3_30 ),
inference(forward_demodulation,[],[f12973,f339]) ).
fof(f339,plain,
n12 = sum(n13,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f12973,plain,
( sum(n13,n20) = sK2
| ~ spl3_6
| ~ spl3_30 ),
inference(forward_demodulation,[],[f12972,f39]) ).
fof(f12972,plain,
( sK2 = sum(pred(n14),n20)
| ~ spl3_6
| ~ spl3_30 ),
inference(forward_demodulation,[],[f12971,f160]) ).
fof(f160,plain,
n14 = sum(n5,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f12971,plain,
( sK2 = sum(pred(sum(n5,n9)),n20)
| ~ spl3_6
| ~ spl3_30 ),
inference(forward_demodulation,[],[f12970,f12]) ).
fof(f12970,plain,
( sK2 = sum(pred(sum(n5,succ(n8))),n20)
| ~ spl3_6
| ~ spl3_30 ),
inference(forward_demodulation,[],[f12969,f226]) ).
fof(f226,plain,
n20 = sum(n8,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f12969,plain,
( sK2 = sum(pred(sum(n5,succ(n8))),sum(n8,n12))
| ~ spl3_6
| ~ spl3_30 ),
inference(forward_demodulation,[],[f12968,f38]) ).
fof(f12968,plain,
( sK2 = sum(pred(sum(n5,succ(n8))),sum(n8,pred(n13)))
| ~ spl3_6
| ~ spl3_30 ),
inference(forward_demodulation,[],[f12967,f159]) ).
fof(f159,plain,
n13 = sum(n5,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f12967,plain,
( sK2 = sum(pred(sum(n5,succ(n8))),sum(n8,pred(sum(n5,n8))))
| ~ spl3_6
| ~ spl3_30 ),
inference(forward_demodulation,[],[f12951,f744]) ).
fof(f12951,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_30 ),
inference(superposition,[],[f489,f862]) ).
fof(f12947,plain,
( ~ spl3_6
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f12946]) ).
fof(f12946,plain,
( $false
| ~ spl3_6
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f12945,f502]) ).
fof(f12945,plain,
( n12 = sK2
| ~ spl3_6
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12944,f178]) ).
fof(f178,plain,
n12 = sum(n6,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f12944,plain,
( sum(n6,n6) = sK2
| ~ spl3_6
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12943,f32]) ).
fof(f12943,plain,
( sK2 = sum(pred(n7),n6)
| ~ spl3_6
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12942,f153]) ).
fof(f153,plain,
n7 = sum(n5,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f12942,plain,
( sK2 = sum(pred(sum(n5,n2)),n6)
| ~ spl3_6
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12941,f5]) ).
fof(f5,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f3]) ).
fof(f12941,plain,
( sK2 = sum(pred(sum(n5,succ(n1))),n6)
| ~ spl3_6
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12940,f72]) ).
fof(f72,plain,
n6 = sum(n1,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f12940,plain,
( sK2 = sum(pred(sum(n5,succ(n1))),sum(n1,n5))
| ~ spl3_6
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12939,f31]) ).
fof(f12939,plain,
( sK2 = sum(pred(sum(n5,succ(n1))),sum(n1,pred(n6)))
| ~ spl3_6
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12938,f152]) ).
fof(f152,plain,
n6 = sum(n5,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f12938,plain,
( sK2 = sum(pred(sum(n5,succ(n1))),sum(n1,pred(sum(n5,n1))))
| ~ spl3_6
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12920,f834]) ).
fof(f834,plain,
( n1 = sK1
| ~ spl3_23 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f832,plain,
( spl3_23
<=> n1 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).
fof(f12920,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f489,f744]) ).
fof(f12919,plain,
( ~ spl3_3
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f12918]) ).
fof(f12918,plain,
( $false
| ~ spl3_3
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f12917,f496]) ).
fof(f12917,plain,
( n6 = sK2
| ~ spl3_3
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12916,f112]) ).
fof(f12916,plain,
( sum(n3,n3) = sK2
| ~ spl3_3
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12915,f29]) ).
fof(f12915,plain,
( sK2 = sum(pred(n4),n3)
| ~ spl3_3
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12914,f90]) ).
fof(f90,plain,
n4 = sum(n2,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f12914,plain,
( sK2 = sum(pred(sum(n2,n2)),n3)
| ~ spl3_3
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12913,f5]) ).
fof(f12913,plain,
( sK2 = sum(pred(sum(n2,succ(n1))),n3)
| ~ spl3_3
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12912,f69]) ).
fof(f69,plain,
n3 = sum(n1,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f12912,plain,
( sK2 = sum(pred(sum(n2,succ(n1))),sum(n1,n2))
| ~ spl3_3
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12911,f28]) ).
fof(f12911,plain,
( sK2 = sum(pred(sum(n2,succ(n1))),sum(n1,pred(n3)))
| ~ spl3_3
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12910,f89]) ).
fof(f89,plain,
n3 = sum(n2,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f12910,plain,
( sK2 = sum(pred(sum(n2,succ(n1))),sum(n1,pred(sum(n2,n1))))
| ~ spl3_3
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12894,f834]) ).
fof(f12894,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f489,f732]) ).
fof(f12893,plain,
( ~ spl3_1
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f12892]) ).
fof(f12892,plain,
( $false
| ~ spl3_1
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f12891,f492]) ).
fof(f12891,plain,
( n2 = sK2
| ~ spl3_1
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12890,f68]) ).
fof(f68,plain,
n2 = sum(n1,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f12890,plain,
( sum(n1,n1) = sK2
| ~ spl3_1
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12889,f27]) ).
fof(f27,plain,
n1 = pred(n2),
inference(cnf_transformation,[],[f3]) ).
fof(f12889,plain,
( sK2 = sum(pred(n2),n1)
| ~ spl3_1
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12888,f48]) ).
fof(f48,plain,
n2 = sum(n0,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f12888,plain,
( sK2 = sum(pred(sum(n0,n2)),n1)
| ~ spl3_1
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12887,f5]) ).
fof(f12887,plain,
( sK2 = sum(pred(sum(n0,succ(n1))),n1)
| ~ spl3_1
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12886,f67]) ).
fof(f67,plain,
n1 = sum(n1,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f12886,plain,
( sK2 = sum(pred(sum(n0,succ(n1))),sum(n1,n0))
| ~ spl3_1
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12885,f26]) ).
fof(f12885,plain,
( sK2 = sum(pred(sum(n0,succ(n1))),sum(n1,pred(n1)))
| ~ spl3_1
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12884,f47]) ).
fof(f47,plain,
n1 = sum(n0,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f12884,plain,
( sK2 = sum(pred(sum(n0,succ(n1))),sum(n1,pred(sum(n0,n1))))
| ~ spl3_1
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12868,f834]) ).
fof(f12868,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f489,f724]) ).
fof(f12867,plain,
( ~ spl3_4
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f12866]) ).
fof(f12866,plain,
( $false
| ~ spl3_4
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f12865,f498]) ).
fof(f12865,plain,
( n8 = sK2
| ~ spl3_4
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12864,f134]) ).
fof(f12864,plain,
( sum(n4,n4) = sK2
| ~ spl3_4
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12863,f30]) ).
fof(f12863,plain,
( sK2 = sum(pred(n5),n4)
| ~ spl3_4
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12862,f111]) ).
fof(f12862,plain,
( sK2 = sum(pred(sum(n3,n2)),n4)
| ~ spl3_4
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12861,f5]) ).
fof(f12861,plain,
( sK2 = sum(pred(sum(n3,succ(n1))),n4)
| ~ spl3_4
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12860,f70]) ).
fof(f70,plain,
n4 = sum(n1,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f12860,plain,
( sK2 = sum(pred(sum(n3,succ(n1))),sum(n1,n3))
| ~ spl3_4
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12859,f29]) ).
fof(f12859,plain,
( sK2 = sum(pred(sum(n3,succ(n1))),sum(n1,pred(n4)))
| ~ spl3_4
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12858,f110]) ).
fof(f110,plain,
n4 = sum(n3,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f12858,plain,
( sK2 = sum(pred(sum(n3,succ(n1))),sum(n1,pred(sum(n3,n1))))
| ~ spl3_4
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12841,f834]) ).
fof(f12841,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f489,f736]) ).
fof(f12839,plain,
( ~ spl3_5
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f12838]) ).
fof(f12838,plain,
( $false
| ~ spl3_5
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f12837,f500]) ).
fof(f12837,plain,
( n10 = sK2
| ~ spl3_5
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12836,f156]) ).
fof(f156,plain,
n10 = sum(n5,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f12836,plain,
( sum(n5,n5) = sK2
| ~ spl3_5
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12835,f31]) ).
fof(f12835,plain,
( sK2 = sum(pred(n6),n5)
| ~ spl3_5
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12834,f132]) ).
fof(f132,plain,
n6 = sum(n4,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f12834,plain,
( sK2 = sum(pred(sum(n4,n2)),n5)
| ~ spl3_5
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12833,f5]) ).
fof(f12833,plain,
( sK2 = sum(pred(sum(n4,succ(n1))),n5)
| ~ spl3_5
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12832,f71]) ).
fof(f71,plain,
n5 = sum(n1,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f12832,plain,
( sK2 = sum(pred(sum(n4,succ(n1))),sum(n1,n4))
| ~ spl3_5
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12831,f30]) ).
fof(f12831,plain,
( sK2 = sum(pred(sum(n4,succ(n1))),sum(n1,pred(n5)))
| ~ spl3_5
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12830,f131]) ).
fof(f131,plain,
n5 = sum(n4,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f12830,plain,
( sK2 = sum(pred(sum(n4,succ(n1))),sum(n1,pred(sum(n4,n1))))
| ~ spl3_5
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12815,f740]) ).
fof(f12815,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_23 ),
inference(superposition,[],[f489,f834]) ).
fof(f12793,plain,
( ~ spl3_13
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f12792]) ).
fof(f12792,plain,
( $false
| ~ spl3_13
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f12791,f501]) ).
fof(f12791,plain,
( n11 = sK2
| ~ spl3_13
| ~ spl3_25 ),
inference(forward_demodulation,[],[f12790,f378]) ).
fof(f378,plain,
n11 = sum(n15,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f12790,plain,
( sum(n15,n17) = sK2
| ~ spl3_13
| ~ spl3_25 ),
inference(forward_demodulation,[],[f12789,f41]) ).
fof(f12789,plain,
( sK2 = sum(pred(n16),n17)
| ~ spl3_13
| ~ spl3_25 ),
inference(forward_demodulation,[],[f12788,f302]) ).
fof(f302,plain,
n16 = sum(n12,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f12788,plain,
( sK2 = sum(pred(sum(n12,n4)),n17)
| ~ spl3_13
| ~ spl3_25 ),
inference(forward_demodulation,[],[f12787,f7]) ).
fof(f12787,plain,
( sK2 = sum(pred(sum(n12,succ(n3))),n17)
| ~ spl3_13
| ~ spl3_25 ),
inference(forward_demodulation,[],[f12786,f123]) ).
fof(f123,plain,
n17 = sum(n3,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f12786,plain,
( sK2 = sum(pred(sum(n12,succ(n3))),sum(n3,n14))
| ~ spl3_13
| ~ spl3_25 ),
inference(forward_demodulation,[],[f12785,f40]) ).
fof(f12785,plain,
( sK2 = sum(pred(sum(n12,succ(n3))),sum(n3,pred(n15)))
| ~ spl3_13
| ~ spl3_25 ),
inference(forward_demodulation,[],[f12784,f301]) ).
fof(f301,plain,
n15 = sum(n12,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f12784,plain,
( sK2 = sum(pred(sum(n12,succ(n3))),sum(n3,pred(sum(n12,n3))))
| ~ spl3_13
| ~ spl3_25 ),
inference(forward_demodulation,[],[f12768,f772]) ).
fof(f772,plain,
( n12 = sK0
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f770,plain,
( spl3_13
<=> n12 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f12768,plain,
( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
| ~ spl3_25 ),
inference(superposition,[],[f489,f842]) ).
fof(f12767,plain,
( ~ spl3_13
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f12766]) ).
fof(f12766,plain,
( $false
| ~ spl3_13
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f12765,f495]) ).
fof(f12765,plain,
( n5 = sK2
| ~ spl3_13
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12764,f332]) ).
fof(f332,plain,
n5 = sum(n13,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f12764,plain,
( sum(n13,n13) = sK2
| ~ spl3_13
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12763,f39]) ).
fof(f12763,plain,
( sK2 = sum(pred(n14),n13)
| ~ spl3_13
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12762,f300]) ).
fof(f12762,plain,
( sK2 = sum(pred(sum(n12,n2)),n13)
| ~ spl3_13
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12761,f5]) ).
fof(f12761,plain,
( sK2 = sum(pred(sum(n12,succ(n1))),n13)
| ~ spl3_13
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12760,f79]) ).
fof(f79,plain,
n13 = sum(n1,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f12760,plain,
( sK2 = sum(pred(sum(n12,succ(n1))),sum(n1,n12))
| ~ spl3_13
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12759,f38]) ).
fof(f12759,plain,
( sK2 = sum(pred(sum(n12,succ(n1))),sum(n1,pred(n13)))
| ~ spl3_13
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12758,f299]) ).
fof(f299,plain,
n13 = sum(n12,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f12758,plain,
( sK2 = sum(pred(sum(n12,succ(n1))),sum(n1,pred(sum(n12,n1))))
| ~ spl3_13
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12742,f772]) ).
fof(f12742,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_23 ),
inference(superposition,[],[f489,f834]) ).
fof(f12741,plain,
( ~ spl3_13
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f12740]) ).
fof(f12740,plain,
( $false
| ~ spl3_13
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f12739,f507]) ).
fof(f12739,plain,
( n17 = sK2
| ~ spl3_13
| ~ spl3_34 ),
inference(forward_demodulation,[],[f12738,f123]) ).
fof(f12738,plain,
( sum(n3,n14) = sK2
| ~ spl3_13
| ~ spl3_34 ),
inference(forward_demodulation,[],[f12737,f29]) ).
fof(f12737,plain,
( sK2 = sum(pred(n4),n14)
| ~ spl3_13
| ~ spl3_34 ),
inference(forward_demodulation,[],[f12736,f311]) ).
fof(f12736,plain,
( sK2 = sum(pred(sum(n12,n13)),n14)
| ~ spl3_13
| ~ spl3_34 ),
inference(forward_demodulation,[],[f12735,f16]) ).
fof(f12735,plain,
( sK2 = sum(pred(sum(n12,succ(n12))),n14)
| ~ spl3_13
| ~ spl3_34 ),
inference(forward_demodulation,[],[f12734,f300]) ).
fof(f12734,plain,
( sK2 = sum(pred(sum(n12,succ(n12))),sum(n12,n2))
| ~ spl3_13
| ~ spl3_34 ),
inference(forward_demodulation,[],[f12733,f28]) ).
fof(f12733,plain,
( sK2 = sum(pred(sum(n12,succ(n12))),sum(n12,pred(n3)))
| ~ spl3_13
| ~ spl3_34 ),
inference(forward_demodulation,[],[f12732,f310]) ).
fof(f310,plain,
n3 = sum(n12,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f12732,plain,
( sK2 = sum(pred(sum(n12,succ(n12))),sum(n12,pred(sum(n12,n12))))
| ~ spl3_13
| ~ spl3_34 ),
inference(forward_demodulation,[],[f12715,f772]) ).
fof(f12715,plain,
( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
| ~ spl3_34 ),
inference(superposition,[],[f489,f878]) ).
fof(f12714,plain,
( ~ spl3_13
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f12713]) ).
fof(f12713,plain,
( $false
| ~ spl3_13
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f12712,f498]) ).
fof(f12712,plain,
( n8 = sK2
| ~ spl3_13
| ~ spl3_38 ),
inference(forward_demodulation,[],[f12711,f194]) ).
fof(f194,plain,
n8 = sum(n7,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f12711,plain,
( sum(n7,n1) = sK2
| ~ spl3_13
| ~ spl3_38 ),
inference(forward_demodulation,[],[f12710,f33]) ).
fof(f12710,plain,
( sK2 = sum(pred(n8),n1)
| ~ spl3_13
| ~ spl3_38 ),
inference(forward_demodulation,[],[f12709,f315]) ).
fof(f315,plain,
n8 = sum(n12,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f12709,plain,
( sK2 = sum(pred(sum(n12,n17)),n1)
| ~ spl3_13
| ~ spl3_38 ),
inference(forward_demodulation,[],[f12708,f20]) ).
fof(f12708,plain,
( sK2 = sum(pred(sum(n12,succ(n16))),n1)
| ~ spl3_13
| ~ spl3_38 ),
inference(forward_demodulation,[],[f12707,f388]) ).
fof(f12707,plain,
( sK2 = sum(pred(sum(n12,succ(n16))),sum(n16,n6))
| ~ spl3_13
| ~ spl3_38 ),
inference(forward_demodulation,[],[f12706,f32]) ).
fof(f12706,plain,
( sK2 = sum(pred(sum(n12,succ(n16))),sum(n16,pred(n7)))
| ~ spl3_13
| ~ spl3_38 ),
inference(forward_demodulation,[],[f12705,f314]) ).
fof(f12705,plain,
( sK2 = sum(pred(sum(n12,succ(n16))),sum(n16,pred(sum(n12,n16))))
| ~ spl3_13
| ~ spl3_38 ),
inference(forward_demodulation,[],[f12687,f772]) ).
fof(f12687,plain,
( sK2 = sum(pred(sum(sK0,succ(n16))),sum(n16,pred(sum(sK0,n16))))
| ~ spl3_38 ),
inference(superposition,[],[f489,f894]) ).
fof(f12686,plain,
( ~ spl3_13
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f12685]) ).
fof(f12685,plain,
( $false
| ~ spl3_13
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f12684,f510]) ).
fof(f12684,plain,
( n20 = sK2
| ~ spl3_13
| ~ spl3_28 ),
inference(forward_demodulation,[],[f12683,f426]) ).
fof(f426,plain,
n20 = sum(n18,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f12683,plain,
( sum(n18,n2) = sK2
| ~ spl3_13
| ~ spl3_28 ),
inference(forward_demodulation,[],[f12682,f44]) ).
fof(f12682,plain,
( sK2 = sum(pred(n19),n2)
| ~ spl3_13
| ~ spl3_28 ),
inference(forward_demodulation,[],[f12681,f305]) ).
fof(f305,plain,
n19 = sum(n12,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f12681,plain,
( sK2 = sum(pred(sum(n12,n7)),n2)
| ~ spl3_13
| ~ spl3_28 ),
inference(forward_demodulation,[],[f12680,f10]) ).
fof(f12680,plain,
( sK2 = sum(pred(sum(n12,succ(n6))),n2)
| ~ spl3_13
| ~ spl3_28 ),
inference(forward_demodulation,[],[f12679,f189]) ).
fof(f189,plain,
n2 = sum(n6,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f12679,plain,
( sK2 = sum(pred(sum(n12,succ(n6))),sum(n6,n17))
| ~ spl3_13
| ~ spl3_28 ),
inference(forward_demodulation,[],[f12678,f43]) ).
fof(f12678,plain,
( sK2 = sum(pred(sum(n12,succ(n6))),sum(n6,pred(n18)))
| ~ spl3_13
| ~ spl3_28 ),
inference(forward_demodulation,[],[f12677,f304]) ).
fof(f304,plain,
n18 = sum(n12,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f12677,plain,
( sK2 = sum(pred(sum(n12,succ(n6))),sum(n6,pred(sum(n12,n6))))
| ~ spl3_13
| ~ spl3_28 ),
inference(forward_demodulation,[],[f12660,f772]) ).
fof(f12660,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_28 ),
inference(superposition,[],[f489,f854]) ).
fof(f12659,plain,
( ~ spl3_13
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f12658]) ).
fof(f12658,plain,
( $false
| ~ spl3_13
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f12657,f495]) ).
fof(f12657,plain,
( n5 = sK2
| ~ spl3_13
| ~ spl3_30 ),
inference(forward_demodulation,[],[f12656,f472]) ).
fof(f472,plain,
n5 = sum(n20,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f12656,plain,
( sum(n20,n6) = sK2
| ~ spl3_13
| ~ spl3_30 ),
inference(forward_demodulation,[],[f12655,f25]) ).
fof(f12655,plain,
( sK2 = sum(pred(n0),n6)
| ~ spl3_13
| ~ spl3_30 ),
inference(forward_demodulation,[],[f12654,f307]) ).
fof(f307,plain,
n0 = sum(n12,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f12654,plain,
( sK2 = sum(pred(sum(n12,n9)),n6)
| ~ spl3_13
| ~ spl3_30 ),
inference(forward_demodulation,[],[f12653,f12]) ).
fof(f12653,plain,
( sK2 = sum(pred(sum(n12,succ(n8))),n6)
| ~ spl3_13
| ~ spl3_30 ),
inference(forward_demodulation,[],[f12652,f233]) ).
fof(f233,plain,
n6 = sum(n8,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f12652,plain,
( sK2 = sum(pred(sum(n12,succ(n8))),sum(n8,n19))
| ~ spl3_13
| ~ spl3_30 ),
inference(forward_demodulation,[],[f12651,f45]) ).
fof(f12651,plain,
( sK2 = sum(pred(sum(n12,succ(n8))),sum(n8,pred(n20)))
| ~ spl3_13
| ~ spl3_30 ),
inference(forward_demodulation,[],[f12650,f306]) ).
fof(f306,plain,
n20 = sum(n12,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f12650,plain,
( sK2 = sum(pred(sum(n12,succ(n8))),sum(n8,pred(sum(n12,n8))))
| ~ spl3_13
| ~ spl3_30 ),
inference(forward_demodulation,[],[f12632,f772]) ).
fof(f12632,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_30 ),
inference(superposition,[],[f489,f862]) ).
fof(f12629,plain,
( ~ spl3_13
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f12628]) ).
fof(f12628,plain,
( $false
| ~ spl3_13
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f12627,f504]) ).
fof(f12627,plain,
( n14 = sK2
| ~ spl3_13
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12626,f240]) ).
fof(f240,plain,
n14 = sum(n9,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f12626,plain,
( sum(n9,n5) = sK2
| ~ spl3_13
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12625,f35]) ).
fof(f12625,plain,
( sK2 = sum(pred(n10),n5)
| ~ spl3_13
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12624,f317]) ).
fof(f12624,plain,
( sK2 = sum(pred(sum(n12,n19)),n5)
| ~ spl3_13
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12623,f22]) ).
fof(f22,plain,
succ(n18) = n19,
inference(cnf_transformation,[],[f3]) ).
fof(f12623,plain,
( sK2 = sum(pred(sum(n12,succ(n18))),n5)
| ~ spl3_13
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12622,f432]) ).
fof(f432,plain,
n5 = sum(n18,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f12622,plain,
( sK2 = sum(pred(sum(n12,succ(n18))),sum(n18,n8))
| ~ spl3_13
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12621,f34]) ).
fof(f12621,plain,
( sK2 = sum(pred(sum(n12,succ(n18))),sum(n18,pred(n9)))
| ~ spl3_13
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12620,f316]) ).
fof(f316,plain,
n9 = sum(n12,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f12620,plain,
( sK2 = sum(pred(sum(n12,succ(n18))),sum(n18,pred(sum(n12,n18))))
| ~ spl3_13
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12601,f902]) ).
fof(f902,plain,
( n18 = sK1
| ~ spl3_40 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f900,plain,
( spl3_40
<=> n18 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_40])]) ).
fof(f12601,plain,
( sK2 = sum(pred(sum(n12,succ(sK1))),sum(sK1,pred(sum(n12,sK1))))
| ~ spl3_13 ),
inference(superposition,[],[f489,f772]) ).
fof(f12600,plain,
( ~ spl3_5
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f12599]) ).
fof(f12599,plain,
( $false
| ~ spl3_5
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f12598,f509]) ).
fof(f509,plain,
n19 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f12598,plain,
( n19 = sK2
| ~ spl3_5
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12597,f85]) ).
fof(f85,plain,
n19 = sum(n1,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f12597,plain,
( sum(n1,n18) = sK2
| ~ spl3_5
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12596,f27]) ).
fof(f12596,plain,
( sK2 = sum(pred(n2),n18)
| ~ spl3_5
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12595,f149]) ).
fof(f149,plain,
n2 = sum(n4,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f12595,plain,
( sK2 = sum(pred(sum(n4,n19)),n18)
| ~ spl3_5
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12594,f22]) ).
fof(f12594,plain,
( sK2 = sum(pred(sum(n4,succ(n18))),n18)
| ~ spl3_5
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12593,f424]) ).
fof(f424,plain,
n18 = sum(n18,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f12593,plain,
( sK2 = sum(pred(sum(n4,succ(n18))),sum(n18,n0))
| ~ spl3_5
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12592,f26]) ).
fof(f12592,plain,
( sK2 = sum(pred(sum(n4,succ(n18))),sum(n18,pred(n1)))
| ~ spl3_5
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12591,f148]) ).
fof(f148,plain,
n1 = sum(n4,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f12591,plain,
( sK2 = sum(pred(sum(n4,succ(n18))),sum(n18,pred(sum(n4,n18))))
| ~ spl3_5
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12575,f902]) ).
fof(f12575,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f489,f740]) ).
fof(f12574,plain,
( ~ spl3_3
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f12573]) ).
fof(f12573,plain,
( $false
| ~ spl3_3
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f12572,f505]) ).
fof(f12572,plain,
( n15 = sK2
| ~ spl3_3
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12571,f482]) ).
fof(f482,plain,
n15 = sum(n20,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f12571,plain,
( sum(n20,n16) = sK2
| ~ spl3_3
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12570,f25]) ).
fof(f12570,plain,
( sK2 = sum(pred(n0),n16)
| ~ spl3_3
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12569,f107]) ).
fof(f107,plain,
n0 = sum(n2,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f12569,plain,
( sK2 = sum(pred(sum(n2,n19)),n16)
| ~ spl3_3
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12568,f22]) ).
fof(f12568,plain,
( sK2 = sum(pred(sum(n2,succ(n18))),n16)
| ~ spl3_3
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12567,f443]) ).
fof(f443,plain,
n16 = sum(n18,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f12567,plain,
( sK2 = sum(pred(sum(n2,succ(n18))),sum(n18,n19))
| ~ spl3_3
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12566,f45]) ).
fof(f12566,plain,
( sK2 = sum(pred(sum(n2,succ(n18))),sum(n18,pred(n20)))
| ~ spl3_3
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12565,f106]) ).
fof(f106,plain,
n20 = sum(n2,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f12565,plain,
( sK2 = sum(pred(sum(n2,succ(n18))),sum(n18,pred(sum(n2,n18))))
| ~ spl3_3
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12550,f902]) ).
fof(f12550,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f489,f732]) ).
fof(f12549,plain,
( ~ spl3_1
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f12548]) ).
fof(f12548,plain,
( $false
| ~ spl3_1
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f12547,f501]) ).
fof(f12547,plain,
( n11 = sK2
| ~ spl3_1
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12546,f438]) ).
fof(f438,plain,
n11 = sum(n18,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f12546,plain,
( sum(n18,n14) = sK2
| ~ spl3_1
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12545,f44]) ).
fof(f12545,plain,
( sK2 = sum(pred(n19),n14)
| ~ spl3_1
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12544,f65]) ).
fof(f65,plain,
n19 = sum(n0,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f12544,plain,
( sK2 = sum(pred(sum(n0,n19)),n14)
| ~ spl3_1
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12543,f22]) ).
fof(f12543,plain,
( sK2 = sum(pred(sum(n0,succ(n18))),n14)
| ~ spl3_1
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12542,f441]) ).
fof(f441,plain,
n14 = sum(n18,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f12542,plain,
( sK2 = sum(pred(sum(n0,succ(n18))),sum(n18,n17))
| ~ spl3_1
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12541,f43]) ).
fof(f12541,plain,
( sK2 = sum(pred(sum(n0,succ(n18))),sum(n18,pred(n18)))
| ~ spl3_1
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12540,f64]) ).
fof(f64,plain,
n18 = sum(n0,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f12540,plain,
( sK2 = sum(pred(sum(n0,succ(n18))),sum(n18,pred(sum(n0,n18))))
| ~ spl3_1
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12525,f902]) ).
fof(f12525,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f489,f724]) ).
fof(f12524,plain,
( ~ spl3_4
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f12523]) ).
fof(f12523,plain,
( $false
| ~ spl3_4
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f12522,f507]) ).
fof(f12522,plain,
( n17 = sK2
| ~ spl3_4
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12521,f63]) ).
fof(f12521,plain,
( sum(n0,n17) = sK2
| ~ spl3_4
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12520,f26]) ).
fof(f12520,plain,
( sK2 = sum(pred(n1),n17)
| ~ spl3_4
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12519,f128]) ).
fof(f128,plain,
n1 = sum(n3,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f12519,plain,
( sK2 = sum(pred(sum(n3,n19)),n17)
| ~ spl3_4
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12518,f22]) ).
fof(f12518,plain,
( sK2 = sum(pred(sum(n3,succ(n18))),n17)
| ~ spl3_4
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12517,f444]) ).
fof(f444,plain,
n17 = sum(n18,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f12517,plain,
( sK2 = sum(pred(sum(n3,succ(n18))),sum(n18,n20))
| ~ spl3_4
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12516,f25]) ).
fof(f12516,plain,
( sK2 = sum(pred(sum(n3,succ(n18))),sum(n18,pred(n0)))
| ~ spl3_4
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12515,f127]) ).
fof(f127,plain,
n0 = sum(n3,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f12515,plain,
( sK2 = sum(pred(sum(n3,succ(n18))),sum(n18,pred(sum(n3,n18))))
| ~ spl3_4
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12499,f902]) ).
fof(f12499,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f489,f736]) ).
fof(f12497,plain,
( ~ spl3_6
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f12496]) ).
fof(f12496,plain,
( $false
| ~ spl3_6
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f12495,f490]) ).
fof(f12495,plain,
( n0 = sK2
| ~ spl3_6
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12494,f107]) ).
fof(f12494,plain,
( sum(n2,n19) = sK2
| ~ spl3_6
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12493,f28]) ).
fof(f12493,plain,
( sK2 = sum(pred(n3),n19)
| ~ spl3_6
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12492,f170]) ).
fof(f170,plain,
n3 = sum(n5,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f12492,plain,
( sK2 = sum(pred(sum(n5,n19)),n19)
| ~ spl3_6
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12491,f22]) ).
fof(f12491,plain,
( sK2 = sum(pred(sum(n5,succ(n18))),n19)
| ~ spl3_6
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12490,f425]) ).
fof(f425,plain,
n19 = sum(n18,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f12490,plain,
( sK2 = sum(pred(sum(n5,succ(n18))),sum(n18,n1))
| ~ spl3_6
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12489,f27]) ).
fof(f12489,plain,
( sK2 = sum(pred(sum(n5,succ(n18))),sum(n18,pred(n2)))
| ~ spl3_6
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12488,f169]) ).
fof(f169,plain,
n2 = sum(n5,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f12488,plain,
( sK2 = sum(pred(sum(n5,succ(n18))),sum(n18,pred(sum(n5,n18))))
| ~ spl3_6
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12469,f744]) ).
fof(f12469,plain,
( sK2 = sum(pred(sum(sK0,succ(n18))),sum(n18,pred(sum(sK0,n18))))
| ~ spl3_40 ),
inference(superposition,[],[f489,f902]) ).
fof(f12447,plain,
( ~ spl3_12
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f12446]) ).
fof(f12446,plain,
( $false
| ~ spl3_12
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f12445,f496]) ).
fof(f12445,plain,
( n6 = sK2
| ~ spl3_12
| ~ spl3_38 ),
inference(forward_demodulation,[],[f12444,f172]) ).
fof(f172,plain,
n6 = sum(n6,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f12444,plain,
( sum(n6,n0) = sK2
| ~ spl3_12
| ~ spl3_38 ),
inference(forward_demodulation,[],[f12443,f32]) ).
fof(f12443,plain,
( sK2 = sum(pred(n7),n0)
| ~ spl3_12
| ~ spl3_38 ),
inference(forward_demodulation,[],[f12442,f294]) ).
fof(f294,plain,
n7 = sum(n11,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f12442,plain,
( sK2 = sum(pred(sum(n11,n17)),n0)
| ~ spl3_12
| ~ spl3_38 ),
inference(forward_demodulation,[],[f12441,f20]) ).
fof(f12441,plain,
( sK2 = sum(pred(sum(n11,succ(n16))),n0)
| ~ spl3_12
| ~ spl3_38 ),
inference(forward_demodulation,[],[f12440,f387]) ).
fof(f387,plain,
n0 = sum(n16,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f12440,plain,
( sK2 = sum(pred(sum(n11,succ(n16))),sum(n16,n5))
| ~ spl3_12
| ~ spl3_38 ),
inference(forward_demodulation,[],[f12439,f31]) ).
fof(f12439,plain,
( sK2 = sum(pred(sum(n11,succ(n16))),sum(n16,pred(n6)))
| ~ spl3_12
| ~ spl3_38 ),
inference(forward_demodulation,[],[f12438,f293]) ).
fof(f12438,plain,
( sK2 = sum(pred(sum(n11,succ(n16))),sum(n16,pred(sum(n11,n16))))
| ~ spl3_12
| ~ spl3_38 ),
inference(forward_demodulation,[],[f12420,f768]) ).
fof(f768,plain,
( n11 = sK0
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f766,plain,
( spl3_12
<=> n11 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f12420,plain,
( sK2 = sum(pred(sum(sK0,succ(n16))),sum(n16,pred(sum(sK0,n16))))
| ~ spl3_38 ),
inference(superposition,[],[f489,f894]) ).
fof(f12419,plain,
( ~ spl3_12
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f12418]) ).
fof(f12418,plain,
( $false
| ~ spl3_12
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f12417,f508]) ).
fof(f12417,plain,
( n18 = sK2
| ~ spl3_12
| ~ spl3_28 ),
inference(forward_demodulation,[],[f12416,f404]) ).
fof(f404,plain,
n18 = sum(n17,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f12416,plain,
( sum(n17,n1) = sK2
| ~ spl3_12
| ~ spl3_28 ),
inference(forward_demodulation,[],[f12415,f43]) ).
fof(f12415,plain,
( sK2 = sum(pred(n18),n1)
| ~ spl3_12
| ~ spl3_28 ),
inference(forward_demodulation,[],[f12414,f284]) ).
fof(f284,plain,
n18 = sum(n11,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f12414,plain,
( sK2 = sum(pred(sum(n11,n7)),n1)
| ~ spl3_12
| ~ spl3_28 ),
inference(forward_demodulation,[],[f12413,f10]) ).
fof(f12413,plain,
( sK2 = sum(pred(sum(n11,succ(n6))),n1)
| ~ spl3_12
| ~ spl3_28 ),
inference(forward_demodulation,[],[f12412,f188]) ).
fof(f188,plain,
n1 = sum(n6,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f12412,plain,
( sK2 = sum(pred(sum(n11,succ(n6))),sum(n6,n16))
| ~ spl3_12
| ~ spl3_28 ),
inference(forward_demodulation,[],[f12411,f42]) ).
fof(f12411,plain,
( sK2 = sum(pred(sum(n11,succ(n6))),sum(n6,pred(n17)))
| ~ spl3_12
| ~ spl3_28 ),
inference(forward_demodulation,[],[f12410,f283]) ).
fof(f283,plain,
n17 = sum(n11,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f12410,plain,
( sK2 = sum(pred(sum(n11,succ(n6))),sum(n6,pred(sum(n11,n6))))
| ~ spl3_12
| ~ spl3_28 ),
inference(forward_demodulation,[],[f12392,f768]) ).
fof(f12392,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_28 ),
inference(superposition,[],[f489,f854]) ).
fof(f12391,plain,
( ~ spl3_12
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f12390]) ).
fof(f12390,plain,
( $false
| ~ spl3_12
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f12389,f502]) ).
fof(f12389,plain,
( n12 = sK2
| ~ spl3_12
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12388,f218]) ).
fof(f218,plain,
n12 = sum(n8,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f12388,plain,
( sum(n8,n4) = sK2
| ~ spl3_12
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12387,f34]) ).
fof(f12387,plain,
( sK2 = sum(pred(n9),n4)
| ~ spl3_12
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12386,f296]) ).
fof(f296,plain,
n9 = sum(n11,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f12386,plain,
( sK2 = sum(pred(sum(n11,n19)),n4)
| ~ spl3_12
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12385,f22]) ).
fof(f12385,plain,
( sK2 = sum(pred(sum(n11,succ(n18))),n4)
| ~ spl3_12
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12384,f431]) ).
fof(f431,plain,
n4 = sum(n18,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f12384,plain,
( sK2 = sum(pred(sum(n11,succ(n18))),sum(n18,n7))
| ~ spl3_12
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12383,f33]) ).
fof(f12383,plain,
( sK2 = sum(pred(sum(n11,succ(n18))),sum(n18,pred(n8)))
| ~ spl3_12
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12382,f295]) ).
fof(f12382,plain,
( sK2 = sum(pred(sum(n11,succ(n18))),sum(n18,pred(sum(n11,n18))))
| ~ spl3_12
| ~ spl3_40 ),
inference(forward_demodulation,[],[f12363,f768]) ).
fof(f12363,plain,
( sK2 = sum(pred(sum(sK0,succ(n18))),sum(n18,pred(sum(sK0,n18))))
| ~ spl3_40 ),
inference(superposition,[],[f489,f902]) ).
fof(f12362,plain,
( ~ spl3_12
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f12361]) ).
fof(f12361,plain,
( $false
| ~ spl3_12
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f12360,f493]) ).
fof(f12360,plain,
( n3 = sK2
| ~ spl3_12
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12359,f310]) ).
fof(f12359,plain,
( sum(n12,n12) = sK2
| ~ spl3_12
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12358,f38]) ).
fof(f12358,plain,
( sK2 = sum(pred(n13),n12)
| ~ spl3_12
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12357,f279]) ).
fof(f279,plain,
n13 = sum(n11,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f12357,plain,
( sK2 = sum(pred(sum(n11,n2)),n12)
| ~ spl3_12
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12356,f5]) ).
fof(f12356,plain,
( sK2 = sum(pred(sum(n11,succ(n1))),n12)
| ~ spl3_12
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12355,f78]) ).
fof(f78,plain,
n12 = sum(n1,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f12355,plain,
( sK2 = sum(pred(sum(n11,succ(n1))),sum(n1,n11))
| ~ spl3_12
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12354,f37]) ).
fof(f12354,plain,
( sK2 = sum(pred(sum(n11,succ(n1))),sum(n1,pred(n12)))
| ~ spl3_12
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12353,f278]) ).
fof(f278,plain,
n12 = sum(n11,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f12353,plain,
( sK2 = sum(pred(sum(n11,succ(n1))),sum(n1,pred(sum(n11,n1))))
| ~ spl3_12
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12337,f768]) ).
fof(f12337,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_23 ),
inference(superposition,[],[f489,f834]) ).
fof(f12336,plain,
( ~ spl3_12
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f12335]) ).
fof(f12335,plain,
( $false
| ~ spl3_12
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f12334,f505]) ).
fof(f12334,plain,
( n15 = sK2
| ~ spl3_12
| ~ spl3_34 ),
inference(forward_demodulation,[],[f12333,f101]) ).
fof(f12333,plain,
( sum(n2,n13) = sK2
| ~ spl3_12
| ~ spl3_34 ),
inference(forward_demodulation,[],[f12332,f28]) ).
fof(f12332,plain,
( sK2 = sum(pred(n3),n13)
| ~ spl3_12
| ~ spl3_34 ),
inference(forward_demodulation,[],[f12331,f290]) ).
fof(f290,plain,
n3 = sum(n11,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f12331,plain,
( sK2 = sum(pred(sum(n11,n13)),n13)
| ~ spl3_12
| ~ spl3_34 ),
inference(forward_demodulation,[],[f12330,f16]) ).
fof(f12330,plain,
( sK2 = sum(pred(sum(n11,succ(n12))),n13)
| ~ spl3_12
| ~ spl3_34 ),
inference(forward_demodulation,[],[f12329,f299]) ).
fof(f12329,plain,
( sK2 = sum(pred(sum(n11,succ(n12))),sum(n12,n1))
| ~ spl3_12
| ~ spl3_34 ),
inference(forward_demodulation,[],[f12328,f27]) ).
fof(f12328,plain,
( sK2 = sum(pred(sum(n11,succ(n12))),sum(n12,pred(n2)))
| ~ spl3_12
| ~ spl3_34 ),
inference(forward_demodulation,[],[f12327,f289]) ).
fof(f289,plain,
n2 = sum(n11,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f12327,plain,
( sK2 = sum(pred(sum(n11,succ(n12))),sum(n12,pred(sum(n11,n12))))
| ~ spl3_12
| ~ spl3_34 ),
inference(forward_demodulation,[],[f12310,f768]) ).
fof(f12310,plain,
( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
| ~ spl3_34 ),
inference(superposition,[],[f489,f878]) ).
fof(f12309,plain,
( ~ spl3_12
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f12308]) ).
fof(f12308,plain,
( $false
| ~ spl3_12
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f12307,f499]) ).
fof(f12307,plain,
( n9 = sK2
| ~ spl3_12
| ~ spl3_25 ),
inference(forward_demodulation,[],[f12306,f356]) ).
fof(f356,plain,
n9 = sum(n14,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f12306,plain,
( sum(n14,n16) = sK2
| ~ spl3_12
| ~ spl3_25 ),
inference(forward_demodulation,[],[f12305,f40]) ).
fof(f12305,plain,
( sK2 = sum(pred(n15),n16)
| ~ spl3_12
| ~ spl3_25 ),
inference(forward_demodulation,[],[f12304,f281]) ).
fof(f281,plain,
n15 = sum(n11,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f12304,plain,
( sK2 = sum(pred(sum(n11,n4)),n16)
| ~ spl3_12
| ~ spl3_25 ),
inference(forward_demodulation,[],[f12303,f7]) ).
fof(f12303,plain,
( sK2 = sum(pred(sum(n11,succ(n3))),n16)
| ~ spl3_12
| ~ spl3_25 ),
inference(forward_demodulation,[],[f12302,f122]) ).
fof(f12302,plain,
( sK2 = sum(pred(sum(n11,succ(n3))),sum(n3,n13))
| ~ spl3_12
| ~ spl3_25 ),
inference(forward_demodulation,[],[f12301,f39]) ).
fof(f12301,plain,
( sK2 = sum(pred(sum(n11,succ(n3))),sum(n3,pred(n14)))
| ~ spl3_12
| ~ spl3_25 ),
inference(forward_demodulation,[],[f12300,f280]) ).
fof(f280,plain,
n14 = sum(n11,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f12300,plain,
( sK2 = sum(pred(sum(n11,succ(n3))),sum(n3,pred(sum(n11,n3))))
| ~ spl3_12
| ~ spl3_25 ),
inference(forward_demodulation,[],[f12284,f768]) ).
fof(f12284,plain,
( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
| ~ spl3_25 ),
inference(superposition,[],[f489,f842]) ).
fof(f12283,plain,
( ~ spl3_12
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f12282]) ).
fof(f12282,plain,
( $false
| ~ spl3_12
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f12281,f493]) ).
fof(f12281,plain,
( n3 = sK2
| ~ spl3_12
| ~ spl3_30 ),
inference(forward_demodulation,[],[f12280,f450]) ).
fof(f450,plain,
n3 = sum(n19,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f12280,plain,
( sum(n19,n5) = sK2
| ~ spl3_12
| ~ spl3_30 ),
inference(forward_demodulation,[],[f12279,f45]) ).
fof(f12279,plain,
( sK2 = sum(pred(n20),n5)
| ~ spl3_12
| ~ spl3_30 ),
inference(forward_demodulation,[],[f12278,f286]) ).
fof(f286,plain,
n20 = sum(n11,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f12278,plain,
( sK2 = sum(pred(sum(n11,n9)),n5)
| ~ spl3_12
| ~ spl3_30 ),
inference(forward_demodulation,[],[f12277,f12]) ).
fof(f12277,plain,
( sK2 = sum(pred(sum(n11,succ(n8))),n5)
| ~ spl3_12
| ~ spl3_30 ),
inference(forward_demodulation,[],[f12276,f232]) ).
fof(f232,plain,
n5 = sum(n8,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f12276,plain,
( sK2 = sum(pred(sum(n11,succ(n8))),sum(n8,n18))
| ~ spl3_12
| ~ spl3_30 ),
inference(forward_demodulation,[],[f12275,f44]) ).
fof(f12275,plain,
( sK2 = sum(pred(sum(n11,succ(n8))),sum(n8,pred(n19)))
| ~ spl3_12
| ~ spl3_30 ),
inference(forward_demodulation,[],[f12274,f285]) ).
fof(f285,plain,
n19 = sum(n11,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f12274,plain,
( sK2 = sum(pred(sum(n11,succ(n8))),sum(n8,pred(sum(n11,n8))))
| ~ spl3_12
| ~ spl3_30 ),
inference(forward_demodulation,[],[f12257,f768]) ).
fof(f12257,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_30 ),
inference(superposition,[],[f489,f862]) ).
fof(f12235,plain,
( ~ spl3_6
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f12234]) ).
fof(f12234,plain,
( $false
| ~ spl3_6
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f12233,f499]) ).
fof(f12233,plain,
( n9 = sK2
| ~ spl3_6
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12232,f456]) ).
fof(f456,plain,
n9 = sum(n19,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f12232,plain,
( sum(n19,n11) = sK2
| ~ spl3_6
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12231,f45]) ).
fof(f12231,plain,
( sK2 = sum(pred(n20),n11)
| ~ spl3_6
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12230,f166]) ).
fof(f166,plain,
n20 = sum(n5,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f12230,plain,
( sK2 = sum(pred(sum(n5,n15)),n11)
| ~ spl3_6
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12229,f18]) ).
fof(f18,plain,
succ(n14) = n15,
inference(cnf_transformation,[],[f3]) ).
fof(f12229,plain,
( sK2 = sum(pred(sum(n5,succ(n14))),n11)
| ~ spl3_6
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12228,f358]) ).
fof(f358,plain,
n11 = sum(n14,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f12228,plain,
( sK2 = sum(pred(sum(n5,succ(n14))),sum(n14,n18))
| ~ spl3_6
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12227,f44]) ).
fof(f12227,plain,
( sK2 = sum(pred(sum(n5,succ(n14))),sum(n14,pred(n19)))
| ~ spl3_6
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12226,f165]) ).
fof(f165,plain,
n19 = sum(n5,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f12226,plain,
( sK2 = sum(pred(sum(n5,succ(n14))),sum(n14,pred(sum(n5,n14))))
| ~ spl3_6
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12208,f886]) ).
fof(f886,plain,
( n14 = sK1
| ~ spl3_36 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f884,plain,
( spl3_36
<=> n14 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_36])]) ).
fof(f12208,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f489,f744]) ).
fof(f12207,plain,
( ~ spl3_5
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f12206]) ).
fof(f12206,plain,
( $false
| ~ spl3_5
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f12205,f497]) ).
fof(f497,plain,
n7 != sK2,
inference(cnf_transformation,[],[f3]) ).
fof(f12205,plain,
( n7 = sK2
| ~ spl3_5
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12204,f434]) ).
fof(f434,plain,
n7 = sum(n18,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f12204,plain,
( sum(n18,n10) = sK2
| ~ spl3_5
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12203,f44]) ).
fof(f12203,plain,
( sK2 = sum(pred(n19),n10)
| ~ spl3_5
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12202,f145]) ).
fof(f145,plain,
n19 = sum(n4,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f12202,plain,
( sK2 = sum(pred(sum(n4,n15)),n10)
| ~ spl3_5
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12201,f18]) ).
fof(f12201,plain,
( sK2 = sum(pred(sum(n4,succ(n14))),n10)
| ~ spl3_5
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12200,f357]) ).
fof(f357,plain,
n10 = sum(n14,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f12200,plain,
( sK2 = sum(pred(sum(n4,succ(n14))),sum(n14,n17))
| ~ spl3_5
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12199,f43]) ).
fof(f12199,plain,
( sK2 = sum(pred(sum(n4,succ(n14))),sum(n14,pred(n18)))
| ~ spl3_5
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12198,f144]) ).
fof(f144,plain,
n18 = sum(n4,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f12198,plain,
( sK2 = sum(pred(sum(n4,succ(n14))),sum(n14,pred(sum(n4,n14))))
| ~ spl3_5
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12180,f886]) ).
fof(f12180,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f489,f740]) ).
fof(f12179,plain,
( ~ spl3_13
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f12178]) ).
fof(f12178,plain,
( $false
| ~ spl3_13
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f12177,f492]) ).
fof(f12177,plain,
( n2 = sK2
| ~ spl3_13
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12176,f169]) ).
fof(f12176,plain,
( sum(n5,n18) = sK2
| ~ spl3_13
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12175,f31]) ).
fof(f12175,plain,
( sK2 = sum(pred(n6),n18)
| ~ spl3_13
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12174,f313]) ).
fof(f12174,plain,
( sK2 = sum(pred(sum(n12,n15)),n18)
| ~ spl3_13
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12173,f18]) ).
fof(f12173,plain,
( sK2 = sum(pred(sum(n12,succ(n14))),n18)
| ~ spl3_13
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12172,f344]) ).
fof(f12172,plain,
( sK2 = sum(pred(sum(n12,succ(n14))),sum(n14,n4))
| ~ spl3_13
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12171,f30]) ).
fof(f12171,plain,
( sK2 = sum(pred(sum(n12,succ(n14))),sum(n14,pred(n5)))
| ~ spl3_13
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12170,f312]) ).
fof(f12170,plain,
( sK2 = sum(pred(sum(n12,succ(n14))),sum(n14,pred(sum(n12,n14))))
| ~ spl3_13
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12151,f886]) ).
fof(f12151,plain,
( sK2 = sum(pred(sum(n12,succ(sK1))),sum(sK1,pred(sum(n12,sK1))))
| ~ spl3_13 ),
inference(superposition,[],[f489,f772]) ).
fof(f12150,plain,
( ~ spl3_4
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f12149]) ).
fof(f12149,plain,
( $false
| ~ spl3_4
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f12148,f495]) ).
fof(f12148,plain,
( n5 = sK2
| ~ spl3_4
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12147,f412]) ).
fof(f412,plain,
n5 = sum(n17,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f12147,plain,
( sum(n17,n9) = sK2
| ~ spl3_4
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12146,f43]) ).
fof(f12146,plain,
( sK2 = sum(pred(n18),n9)
| ~ spl3_4
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12145,f124]) ).
fof(f124,plain,
n18 = sum(n3,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f12145,plain,
( sK2 = sum(pred(sum(n3,n15)),n9)
| ~ spl3_4
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12144,f18]) ).
fof(f12144,plain,
( sK2 = sum(pred(sum(n3,succ(n14))),n9)
| ~ spl3_4
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12143,f356]) ).
fof(f12143,plain,
( sK2 = sum(pred(sum(n3,succ(n14))),sum(n14,n16))
| ~ spl3_4
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12142,f42]) ).
fof(f12142,plain,
( sK2 = sum(pred(sum(n3,succ(n14))),sum(n14,pred(n17)))
| ~ spl3_4
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12141,f123]) ).
fof(f12141,plain,
( sK2 = sum(pred(sum(n3,succ(n14))),sum(n14,pred(sum(n3,n14))))
| ~ spl3_4
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12124,f886]) ).
fof(f12124,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f489,f736]) ).
fof(f12123,plain,
( ~ spl3_12
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f12122]) ).
fof(f12122,plain,
( $false
| ~ spl3_12
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f12121,f490]) ).
fof(f12121,plain,
( n0 = sK2
| ~ spl3_12
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12120,f147]) ).
fof(f12120,plain,
( sum(n4,n17) = sK2
| ~ spl3_12
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12119,f30]) ).
fof(f12119,plain,
( sK2 = sum(pred(n5),n17)
| ~ spl3_12
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12118,f292]) ).
fof(f292,plain,
n5 = sum(n11,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f12118,plain,
( sK2 = sum(pred(sum(n11,n15)),n17)
| ~ spl3_12
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12117,f18]) ).
fof(f12117,plain,
( sK2 = sum(pred(sum(n11,succ(n14))),n17)
| ~ spl3_12
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12116,f343]) ).
fof(f343,plain,
n17 = sum(n14,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f12116,plain,
( sK2 = sum(pred(sum(n11,succ(n14))),sum(n14,n3))
| ~ spl3_12
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12115,f29]) ).
fof(f12115,plain,
( sK2 = sum(pred(sum(n11,succ(n14))),sum(n14,pred(n4)))
| ~ spl3_12
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12114,f291]) ).
fof(f291,plain,
n4 = sum(n11,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f12114,plain,
( sK2 = sum(pred(sum(n11,succ(n14))),sum(n14,pred(sum(n11,n14))))
| ~ spl3_12
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12096,f886]) ).
fof(f12096,plain,
( sK2 = sum(pred(sum(n11,succ(sK1))),sum(sK1,pred(sum(n11,sK1))))
| ~ spl3_12 ),
inference(superposition,[],[f489,f768]) ).
fof(f12095,plain,
( ~ spl3_1
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f12094]) ).
fof(f12094,plain,
( $false
| ~ spl3_1
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f12093,f510]) ).
fof(f12093,plain,
( n20 = sK2
| ~ spl3_1
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12092,f346]) ).
fof(f346,plain,
n20 = sum(n14,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f12092,plain,
( sum(n14,n6) = sK2
| ~ spl3_1
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12091,f40]) ).
fof(f12091,plain,
( sK2 = sum(pred(n15),n6)
| ~ spl3_1
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12090,f61]) ).
fof(f12090,plain,
( sK2 = sum(pred(sum(n0,n15)),n6)
| ~ spl3_1
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12089,f18]) ).
fof(f12089,plain,
( sK2 = sum(pred(sum(n0,succ(n14))),n6)
| ~ spl3_1
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12088,f353]) ).
fof(f353,plain,
n6 = sum(n14,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f12088,plain,
( sK2 = sum(pred(sum(n0,succ(n14))),sum(n14,n13))
| ~ spl3_1
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12087,f39]) ).
fof(f12087,plain,
( sK2 = sum(pred(sum(n0,succ(n14))),sum(n14,pred(n14)))
| ~ spl3_1
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12086,f60]) ).
fof(f60,plain,
n14 = sum(n0,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f12086,plain,
( sK2 = sum(pred(sum(n0,succ(n14))),sum(n14,pred(sum(n0,n14))))
| ~ spl3_1
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12071,f886]) ).
fof(f12071,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f489,f724]) ).
fof(f12069,plain,
( ~ spl3_3
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f12068]) ).
fof(f12068,plain,
( $false
| ~ spl3_3
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f12067,f493]) ).
fof(f12067,plain,
( n3 = sK2
| ~ spl3_3
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12066,f390]) ).
fof(f390,plain,
n3 = sum(n16,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f12066,plain,
( sum(n16,n8) = sK2
| ~ spl3_3
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12065,f42]) ).
fof(f12065,plain,
( sK2 = sum(pred(n17),n8)
| ~ spl3_3
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12064,f103]) ).
fof(f103,plain,
n17 = sum(n2,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f12064,plain,
( sK2 = sum(pred(sum(n2,n15)),n8)
| ~ spl3_3
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12063,f18]) ).
fof(f12063,plain,
( sK2 = sum(pred(sum(n2,succ(n14))),n8)
| ~ spl3_3
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12062,f355]) ).
fof(f355,plain,
n8 = sum(n14,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f12062,plain,
( sK2 = sum(pred(sum(n2,succ(n14))),sum(n14,n15))
| ~ spl3_3
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12061,f41]) ).
fof(f12061,plain,
( sK2 = sum(pred(sum(n2,succ(n14))),sum(n14,pred(n16)))
| ~ spl3_3
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12060,f102]) ).
fof(f102,plain,
n16 = sum(n2,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f12060,plain,
( sK2 = sum(pred(sum(n2,succ(n14))),sum(n14,pred(sum(n2,n14))))
| ~ spl3_3
| ~ spl3_36 ),
inference(forward_demodulation,[],[f12042,f732]) ).
fof(f12042,plain,
( sK2 = sum(pred(sum(sK0,succ(n14))),sum(n14,pred(sum(sK0,n14))))
| ~ spl3_36 ),
inference(superposition,[],[f489,f886]) ).
fof(f12020,plain,
( ~ spl3_11
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f12019]) ).
fof(f12019,plain,
( $false
| ~ spl3_11
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f12018,f491]) ).
fof(f12018,plain,
( n1 = sK2
| ~ spl3_11
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12017,f288]) ).
fof(f288,plain,
n1 = sum(n11,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f12017,plain,
( sum(n11,n11) = sK2
| ~ spl3_11
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12016,f37]) ).
fof(f12016,plain,
( sK2 = sum(pred(n12),n11)
| ~ spl3_11
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12015,f258]) ).
fof(f258,plain,
n12 = sum(n10,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f12015,plain,
( sK2 = sum(pred(sum(n10,n2)),n11)
| ~ spl3_11
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12014,f5]) ).
fof(f12014,plain,
( sK2 = sum(pred(sum(n10,succ(n1))),n11)
| ~ spl3_11
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12013,f77]) ).
fof(f77,plain,
n11 = sum(n1,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f12013,plain,
( sK2 = sum(pred(sum(n10,succ(n1))),sum(n1,n10))
| ~ spl3_11
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12012,f36]) ).
fof(f12012,plain,
( sK2 = sum(pred(sum(n10,succ(n1))),sum(n1,pred(n11)))
| ~ spl3_11
| ~ spl3_23 ),
inference(forward_demodulation,[],[f12011,f257]) ).
fof(f257,plain,
n11 = sum(n10,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f12011,plain,
( sK2 = sum(pred(sum(n10,succ(n1))),sum(n1,pred(sum(n10,n1))))
| ~ spl3_11
| ~ spl3_23 ),
inference(forward_demodulation,[],[f11994,f764]) ).
fof(f764,plain,
( n10 = sK0
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f762,plain,
( spl3_11
<=> n10 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f11994,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_23 ),
inference(superposition,[],[f489,f834]) ).
fof(f11993,plain,
( ~ spl3_11
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f11992]) ).
fof(f11992,plain,
( $false
| ~ spl3_11
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f11991,f503]) ).
fof(f11991,plain,
( n13 = sK2
| ~ spl3_11
| ~ spl3_34 ),
inference(forward_demodulation,[],[f11990,f79]) ).
fof(f11990,plain,
( sum(n1,n12) = sK2
| ~ spl3_11
| ~ spl3_34 ),
inference(forward_demodulation,[],[f11989,f27]) ).
fof(f11989,plain,
( sK2 = sum(pred(n2),n12)
| ~ spl3_11
| ~ spl3_34 ),
inference(forward_demodulation,[],[f11988,f269]) ).
fof(f269,plain,
n2 = sum(n10,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f11988,plain,
( sK2 = sum(pred(sum(n10,n13)),n12)
| ~ spl3_11
| ~ spl3_34 ),
inference(forward_demodulation,[],[f11987,f16]) ).
fof(f11987,plain,
( sK2 = sum(pred(sum(n10,succ(n12))),n12)
| ~ spl3_11
| ~ spl3_34 ),
inference(forward_demodulation,[],[f11986,f298]) ).
fof(f298,plain,
n12 = sum(n12,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f11986,plain,
( sK2 = sum(pred(sum(n10,succ(n12))),sum(n12,n0))
| ~ spl3_11
| ~ spl3_34 ),
inference(forward_demodulation,[],[f11985,f26]) ).
fof(f11985,plain,
( sK2 = sum(pred(sum(n10,succ(n12))),sum(n12,pred(n1)))
| ~ spl3_11
| ~ spl3_34 ),
inference(forward_demodulation,[],[f11984,f268]) ).
fof(f268,plain,
n1 = sum(n10,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f11984,plain,
( sK2 = sum(pred(sum(n10,succ(n12))),sum(n12,pred(sum(n10,n12))))
| ~ spl3_11
| ~ spl3_34 ),
inference(forward_demodulation,[],[f11966,f764]) ).
fof(f11966,plain,
( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
| ~ spl3_34 ),
inference(superposition,[],[f489,f878]) ).
fof(f11965,plain,
( ~ spl3_11
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f11964]) ).
fof(f11964,plain,
( $false
| ~ spl3_11
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f11963,f497]) ).
fof(f11963,plain,
( n7 = sK2
| ~ spl3_11
| ~ spl3_25 ),
inference(forward_demodulation,[],[f11962,f334]) ).
fof(f334,plain,
n7 = sum(n13,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f11962,plain,
( sum(n13,n15) = sK2
| ~ spl3_11
| ~ spl3_25 ),
inference(forward_demodulation,[],[f11961,f39]) ).
fof(f11961,plain,
( sK2 = sum(pred(n14),n15)
| ~ spl3_11
| ~ spl3_25 ),
inference(forward_demodulation,[],[f11960,f260]) ).
fof(f260,plain,
n14 = sum(n10,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f11960,plain,
( sK2 = sum(pred(sum(n10,n4)),n15)
| ~ spl3_11
| ~ spl3_25 ),
inference(forward_demodulation,[],[f11959,f7]) ).
fof(f11959,plain,
( sK2 = sum(pred(sum(n10,succ(n3))),n15)
| ~ spl3_11
| ~ spl3_25 ),
inference(forward_demodulation,[],[f11958,f121]) ).
fof(f11958,plain,
( sK2 = sum(pred(sum(n10,succ(n3))),sum(n3,n12))
| ~ spl3_11
| ~ spl3_25 ),
inference(forward_demodulation,[],[f11957,f38]) ).
fof(f11957,plain,
( sK2 = sum(pred(sum(n10,succ(n3))),sum(n3,pred(n13)))
| ~ spl3_11
| ~ spl3_25 ),
inference(forward_demodulation,[],[f11956,f259]) ).
fof(f259,plain,
n13 = sum(n10,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f11956,plain,
( sK2 = sum(pred(sum(n10,succ(n3))),sum(n3,pred(sum(n10,n3))))
| ~ spl3_11
| ~ spl3_25 ),
inference(forward_demodulation,[],[f11938,f764]) ).
fof(f11938,plain,
( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
| ~ spl3_25 ),
inference(superposition,[],[f489,f842]) ).
fof(f11937,plain,
( ~ spl3_11
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f11936]) ).
fof(f11936,plain,
( $false
| ~ spl3_11
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f11935,f500]) ).
fof(f11935,plain,
( n10 = sK2
| ~ spl3_11
| ~ spl3_40 ),
inference(forward_demodulation,[],[f11934,f196]) ).
fof(f196,plain,
n10 = sum(n7,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f11934,plain,
( sum(n7,n3) = sK2
| ~ spl3_11
| ~ spl3_40 ),
inference(forward_demodulation,[],[f11933,f33]) ).
fof(f11933,plain,
( sK2 = sum(pred(n8),n3)
| ~ spl3_11
| ~ spl3_40 ),
inference(forward_demodulation,[],[f11932,f275]) ).
fof(f275,plain,
n8 = sum(n10,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f11932,plain,
( sK2 = sum(pred(sum(n10,n19)),n3)
| ~ spl3_11
| ~ spl3_40 ),
inference(forward_demodulation,[],[f11931,f22]) ).
fof(f11931,plain,
( sK2 = sum(pred(sum(n10,succ(n18))),n3)
| ~ spl3_11
| ~ spl3_40 ),
inference(forward_demodulation,[],[f11930,f430]) ).
fof(f430,plain,
n3 = sum(n18,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f11930,plain,
( sK2 = sum(pred(sum(n10,succ(n18))),sum(n18,n6))
| ~ spl3_11
| ~ spl3_40 ),
inference(forward_demodulation,[],[f11929,f32]) ).
fof(f11929,plain,
( sK2 = sum(pred(sum(n10,succ(n18))),sum(n18,pred(n7)))
| ~ spl3_11
| ~ spl3_40 ),
inference(forward_demodulation,[],[f11928,f274]) ).
fof(f274,plain,
n7 = sum(n10,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f11928,plain,
( sK2 = sum(pred(sum(n10,succ(n18))),sum(n18,pred(sum(n10,n18))))
| ~ spl3_11
| ~ spl3_40 ),
inference(forward_demodulation,[],[f11909,f764]) ).
fof(f11909,plain,
( sK2 = sum(pred(sum(sK0,succ(n18))),sum(n18,pred(sum(sK0,n18))))
| ~ spl3_40 ),
inference(superposition,[],[f489,f902]) ).
fof(f11908,plain,
( ~ spl3_11
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f11907]) ).
fof(f11907,plain,
( $false
| ~ spl3_11
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f11906,f506]) ).
fof(f11906,plain,
( n16 = sK2
| ~ spl3_11
| ~ spl3_28 ),
inference(forward_demodulation,[],[f11905,f382]) ).
fof(f382,plain,
n16 = sum(n16,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f11905,plain,
( sum(n16,n0) = sK2
| ~ spl3_11
| ~ spl3_28 ),
inference(forward_demodulation,[],[f11904,f42]) ).
fof(f11904,plain,
( sK2 = sum(pred(n17),n0)
| ~ spl3_11
| ~ spl3_28 ),
inference(forward_demodulation,[],[f11903,f263]) ).
fof(f263,plain,
n17 = sum(n10,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f11903,plain,
( sK2 = sum(pred(sum(n10,n7)),n0)
| ~ spl3_11
| ~ spl3_28 ),
inference(forward_demodulation,[],[f11902,f10]) ).
fof(f11902,plain,
( sK2 = sum(pred(sum(n10,succ(n6))),n0)
| ~ spl3_11
| ~ spl3_28 ),
inference(forward_demodulation,[],[f11901,f187]) ).
fof(f187,plain,
n0 = sum(n6,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f11901,plain,
( sK2 = sum(pred(sum(n10,succ(n6))),sum(n6,n15))
| ~ spl3_11
| ~ spl3_28 ),
inference(forward_demodulation,[],[f11900,f41]) ).
fof(f11900,plain,
( sK2 = sum(pred(sum(n10,succ(n6))),sum(n6,pred(n16)))
| ~ spl3_11
| ~ spl3_28 ),
inference(forward_demodulation,[],[f11899,f262]) ).
fof(f262,plain,
n16 = sum(n10,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f11899,plain,
( sK2 = sum(pred(sum(n10,succ(n6))),sum(n6,pred(sum(n10,n6))))
| ~ spl3_11
| ~ spl3_28 ),
inference(forward_demodulation,[],[f11882,f764]) ).
fof(f11882,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_28 ),
inference(superposition,[],[f489,f854]) ).
fof(f11881,plain,
( ~ spl3_11
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f11880]) ).
fof(f11880,plain,
( $false
| ~ spl3_11
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f11879,f494]) ).
fof(f11879,plain,
( n4 = sK2
| ~ spl3_11
| ~ spl3_38 ),
inference(forward_demodulation,[],[f11878,f171]) ).
fof(f171,plain,
n4 = sum(n5,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f11878,plain,
( sum(n5,n20) = sK2
| ~ spl3_11
| ~ spl3_38 ),
inference(forward_demodulation,[],[f11877,f31]) ).
fof(f11877,plain,
( sK2 = sum(pred(n6),n20)
| ~ spl3_11
| ~ spl3_38 ),
inference(forward_demodulation,[],[f11876,f273]) ).
fof(f11876,plain,
( sK2 = sum(pred(sum(n10,n17)),n20)
| ~ spl3_11
| ~ spl3_38 ),
inference(forward_demodulation,[],[f11875,f20]) ).
fof(f11875,plain,
( sK2 = sum(pred(sum(n10,succ(n16))),n20)
| ~ spl3_11
| ~ spl3_38 ),
inference(forward_demodulation,[],[f11874,f386]) ).
fof(f386,plain,
n20 = sum(n16,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f11874,plain,
( sK2 = sum(pred(sum(n10,succ(n16))),sum(n16,n4))
| ~ spl3_11
| ~ spl3_38 ),
inference(forward_demodulation,[],[f11873,f30]) ).
fof(f11873,plain,
( sK2 = sum(pred(sum(n10,succ(n16))),sum(n16,pred(n5)))
| ~ spl3_11
| ~ spl3_38 ),
inference(forward_demodulation,[],[f11872,f272]) ).
fof(f272,plain,
n5 = sum(n10,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f11872,plain,
( sK2 = sum(pred(sum(n10,succ(n16))),sum(n16,pred(sum(n10,n16))))
| ~ spl3_11
| ~ spl3_38 ),
inference(forward_demodulation,[],[f11854,f764]) ).
fof(f11854,plain,
( sK2 = sum(pred(sum(sK0,succ(n16))),sum(n16,pred(sum(sK0,n16))))
| ~ spl3_38 ),
inference(superposition,[],[f489,f894]) ).
fof(f11853,plain,
( ~ spl3_11
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f11852]) ).
fof(f11852,plain,
( $false
| ~ spl3_11
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f11851,f509]) ).
fof(f11851,plain,
( n19 = sK2
| ~ spl3_11
| ~ spl3_36 ),
inference(forward_demodulation,[],[f11850,f125]) ).
fof(f11850,plain,
( sum(n3,n16) = sK2
| ~ spl3_11
| ~ spl3_36 ),
inference(forward_demodulation,[],[f11849,f29]) ).
fof(f11849,plain,
( sK2 = sum(pred(n4),n16)
| ~ spl3_11
| ~ spl3_36 ),
inference(forward_demodulation,[],[f11848,f271]) ).
fof(f11848,plain,
( sK2 = sum(pred(sum(n10,n15)),n16)
| ~ spl3_11
| ~ spl3_36 ),
inference(forward_demodulation,[],[f11847,f18]) ).
fof(f11847,plain,
( sK2 = sum(pred(sum(n10,succ(n14))),n16)
| ~ spl3_11
| ~ spl3_36 ),
inference(forward_demodulation,[],[f11846,f342]) ).
fof(f342,plain,
n16 = sum(n14,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f11846,plain,
( sK2 = sum(pred(sum(n10,succ(n14))),sum(n14,n2))
| ~ spl3_11
| ~ spl3_36 ),
inference(forward_demodulation,[],[f11845,f28]) ).
fof(f11845,plain,
( sK2 = sum(pred(sum(n10,succ(n14))),sum(n14,pred(n3)))
| ~ spl3_11
| ~ spl3_36 ),
inference(forward_demodulation,[],[f11844,f270]) ).
fof(f270,plain,
n3 = sum(n10,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f11844,plain,
( sK2 = sum(pred(sum(n10,succ(n14))),sum(n14,pred(sum(n10,n14))))
| ~ spl3_11
| ~ spl3_36 ),
inference(forward_demodulation,[],[f11827,f764]) ).
fof(f11827,plain,
( sK2 = sum(pred(sum(sK0,succ(n14))),sum(n14,pred(sum(sK0,n14))))
| ~ spl3_36 ),
inference(superposition,[],[f489,f886]) ).
fof(f11826,plain,
( ~ spl3_11
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f11825]) ).
fof(f11825,plain,
( $false
| ~ spl3_11
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f11824,f491]) ).
fof(f11824,plain,
( n1 = sK2
| ~ spl3_11
| ~ spl3_30 ),
inference(forward_demodulation,[],[f11823,f428]) ).
fof(f428,plain,
n1 = sum(n18,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f11823,plain,
( sum(n18,n4) = sK2
| ~ spl3_11
| ~ spl3_30 ),
inference(forward_demodulation,[],[f11822,f44]) ).
fof(f11822,plain,
( sK2 = sum(pred(n19),n4)
| ~ spl3_11
| ~ spl3_30 ),
inference(forward_demodulation,[],[f11821,f265]) ).
fof(f265,plain,
n19 = sum(n10,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f11821,plain,
( sK2 = sum(pred(sum(n10,n9)),n4)
| ~ spl3_11
| ~ spl3_30 ),
inference(forward_demodulation,[],[f11820,f12]) ).
fof(f11820,plain,
( sK2 = sum(pred(sum(n10,succ(n8))),n4)
| ~ spl3_11
| ~ spl3_30 ),
inference(forward_demodulation,[],[f11819,f231]) ).
fof(f231,plain,
n4 = sum(n8,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f11819,plain,
( sK2 = sum(pred(sum(n10,succ(n8))),sum(n8,n17))
| ~ spl3_11
| ~ spl3_30 ),
inference(forward_demodulation,[],[f11818,f43]) ).
fof(f11818,plain,
( sK2 = sum(pred(sum(n10,succ(n8))),sum(n8,pred(n18)))
| ~ spl3_11
| ~ spl3_30 ),
inference(forward_demodulation,[],[f11817,f264]) ).
fof(f264,plain,
n18 = sum(n10,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f11817,plain,
( sK2 = sum(pred(sum(n10,succ(n8))),sum(n8,pred(sum(n10,n8))))
| ~ spl3_11
| ~ spl3_30 ),
inference(forward_demodulation,[],[f11802,f764]) ).
fof(f11802,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_30 ),
inference(superposition,[],[f489,f862]) ).
fof(f11780,plain,
( ~ spl3_12
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f11779]) ).
fof(f11779,plain,
( $false
| ~ spl3_12
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f11778,f499]) ).
fof(f11778,plain,
( n9 = sK2
| ~ spl3_12
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11777,f55]) ).
fof(f11777,plain,
( sum(n0,n9) = sK2
| ~ spl3_12
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11776,f26]) ).
fof(f11776,plain,
( sK2 = sum(pred(n1),n9)
| ~ spl3_12
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11775,f288]) ).
fof(f11775,plain,
( sK2 = sum(pred(sum(n11,n11)),n9)
| ~ spl3_12
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11774,f14]) ).
fof(f14,plain,
succ(n10) = n11,
inference(cnf_transformation,[],[f3]) ).
fof(f11774,plain,
( sK2 = sum(pred(sum(n11,succ(n10))),n9)
| ~ spl3_12
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11773,f276]) ).
fof(f276,plain,
n9 = sum(n10,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f11773,plain,
( sK2 = sum(pred(sum(n11,succ(n10))),sum(n10,n20))
| ~ spl3_12
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11772,f25]) ).
fof(f11772,plain,
( sK2 = sum(pred(sum(n11,succ(n10))),sum(n10,pred(n0)))
| ~ spl3_12
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11771,f287]) ).
fof(f287,plain,
n0 = sum(n11,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f11771,plain,
( sK2 = sum(pred(sum(n11,succ(n10))),sum(n10,pred(sum(n11,n10))))
| ~ spl3_12
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11753,f870]) ).
fof(f870,plain,
( n10 = sK1
| ~ spl3_32 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f868,plain,
( spl3_32
<=> n10 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_32])]) ).
fof(f11753,plain,
( sK2 = sum(pred(sum(n11,succ(sK1))),sum(sK1,pred(sum(n11,sK1))))
| ~ spl3_12 ),
inference(superposition,[],[f489,f768]) ).
fof(f11752,plain,
( ~ spl3_13
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f11751]) ).
fof(f11751,plain,
( $false
| ~ spl3_13
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f11750,f501]) ).
fof(f11750,plain,
( n11 = sK2
| ~ spl3_13
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11749,f77]) ).
fof(f11749,plain,
( sum(n1,n10) = sK2
| ~ spl3_13
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11748,f27]) ).
fof(f11748,plain,
( sK2 = sum(pred(n2),n10)
| ~ spl3_13
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11747,f309]) ).
fof(f11747,plain,
( sK2 = sum(pred(sum(n12,n11)),n10)
| ~ spl3_13
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11746,f14]) ).
fof(f11746,plain,
( sK2 = sum(pred(sum(n12,succ(n10))),n10)
| ~ spl3_13
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11745,f256]) ).
fof(f256,plain,
n10 = sum(n10,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f11745,plain,
( sK2 = sum(pred(sum(n12,succ(n10))),sum(n10,n0))
| ~ spl3_13
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11744,f26]) ).
fof(f11744,plain,
( sK2 = sum(pred(sum(n12,succ(n10))),sum(n10,pred(n1)))
| ~ spl3_13
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11743,f308]) ).
fof(f308,plain,
n1 = sum(n12,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f11743,plain,
( sK2 = sum(pred(sum(n12,succ(n10))),sum(n10,pred(sum(n12,n10))))
| ~ spl3_13
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11724,f870]) ).
fof(f11724,plain,
( sK2 = sum(pred(sum(n12,succ(sK1))),sum(sK1,pred(sum(n12,sK1))))
| ~ spl3_13 ),
inference(superposition,[],[f489,f772]) ).
fof(f11723,plain,
( ~ spl3_5
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f11722]) ).
fof(f11722,plain,
( $false
| ~ spl3_5
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f11721,f506]) ).
fof(f11721,plain,
( n16 = sK2
| ~ spl3_5
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11720,f342]) ).
fof(f11720,plain,
( sum(n14,n2) = sK2
| ~ spl3_5
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11719,f40]) ).
fof(f11719,plain,
( sK2 = sum(pred(n15),n2)
| ~ spl3_5
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11718,f141]) ).
fof(f141,plain,
n15 = sum(n4,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f11718,plain,
( sK2 = sum(pred(sum(n4,n11)),n2)
| ~ spl3_5
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11717,f14]) ).
fof(f11717,plain,
( sK2 = sum(pred(sum(n4,succ(n10))),n2)
| ~ spl3_5
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11716,f269]) ).
fof(f11716,plain,
( sK2 = sum(pred(sum(n4,succ(n10))),sum(n10,n13))
| ~ spl3_5
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11715,f39]) ).
fof(f11715,plain,
( sK2 = sum(pred(sum(n4,succ(n10))),sum(n10,pred(n14)))
| ~ spl3_5
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11714,f140]) ).
fof(f140,plain,
n14 = sum(n4,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f11714,plain,
( sK2 = sum(pred(sum(n4,succ(n10))),sum(n10,pred(sum(n4,n10))))
| ~ spl3_5
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11699,f870]) ).
fof(f11699,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f489,f740]) ).
fof(f11698,plain,
( ~ spl3_4
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f11697]) ).
fof(f11697,plain,
( $false
| ~ spl3_4
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f11696,f504]) ).
fof(f11696,plain,
( n14 = sK2
| ~ spl3_4
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11695,f320]) ).
fof(f320,plain,
n14 = sum(n13,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f11695,plain,
( sum(n13,n1) = sK2
| ~ spl3_4
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11694,f39]) ).
fof(f11694,plain,
( sK2 = sum(pred(n14),n1)
| ~ spl3_4
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11693,f120]) ).
fof(f120,plain,
n14 = sum(n3,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f11693,plain,
( sK2 = sum(pred(sum(n3,n11)),n1)
| ~ spl3_4
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11692,f14]) ).
fof(f11692,plain,
( sK2 = sum(pred(sum(n3,succ(n10))),n1)
| ~ spl3_4
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11691,f268]) ).
fof(f11691,plain,
( sK2 = sum(pred(sum(n3,succ(n10))),sum(n10,n12))
| ~ spl3_4
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11690,f38]) ).
fof(f11690,plain,
( sK2 = sum(pred(sum(n3,succ(n10))),sum(n10,pred(n13)))
| ~ spl3_4
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11689,f119]) ).
fof(f119,plain,
n13 = sum(n3,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f11689,plain,
( sK2 = sum(pred(sum(n3,succ(n10))),sum(n10,pred(sum(n3,n10))))
| ~ spl3_4
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11674,f870]) ).
fof(f11674,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f489,f736]) ).
fof(f11673,plain,
( ~ spl3_6
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f11672]) ).
fof(f11672,plain,
( $false
| ~ spl3_6
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f11671,f508]) ).
fof(f11671,plain,
( n18 = sK2
| ~ spl3_6
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11670,f364]) ).
fof(f364,plain,
n18 = sum(n15,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f11670,plain,
( sum(n15,n3) = sK2
| ~ spl3_6
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11669,f41]) ).
fof(f11669,plain,
( sK2 = sum(pred(n16),n3)
| ~ spl3_6
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11668,f162]) ).
fof(f162,plain,
n16 = sum(n5,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f11668,plain,
( sK2 = sum(pred(sum(n5,n11)),n3)
| ~ spl3_6
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11667,f14]) ).
fof(f11667,plain,
( sK2 = sum(pred(sum(n5,succ(n10))),n3)
| ~ spl3_6
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11666,f270]) ).
fof(f11666,plain,
( sK2 = sum(pred(sum(n5,succ(n10))),sum(n10,n14))
| ~ spl3_6
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11665,f40]) ).
fof(f11665,plain,
( sK2 = sum(pred(sum(n5,succ(n10))),sum(n10,pred(n15)))
| ~ spl3_6
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11664,f161]) ).
fof(f161,plain,
n15 = sum(n5,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f11664,plain,
( sK2 = sum(pred(sum(n5,succ(n10))),sum(n10,pred(sum(n5,n10))))
| ~ spl3_6
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11648,f870]) ).
fof(f11648,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f489,f744]) ).
fof(f11647,plain,
( ~ spl3_3
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f11646]) ).
fof(f11646,plain,
( $false
| ~ spl3_3
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f11645,f502]) ).
fof(f11645,plain,
( n12 = sK2
| ~ spl3_3
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11644,f298]) ).
fof(f11644,plain,
( sum(n12,n0) = sK2
| ~ spl3_3
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11643,f38]) ).
fof(f11643,plain,
( sK2 = sum(pred(n13),n0)
| ~ spl3_3
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11642,f99]) ).
fof(f99,plain,
n13 = sum(n2,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f11642,plain,
( sK2 = sum(pred(sum(n2,n11)),n0)
| ~ spl3_3
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11641,f14]) ).
fof(f11641,plain,
( sK2 = sum(pred(sum(n2,succ(n10))),n0)
| ~ spl3_3
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11640,f267]) ).
fof(f267,plain,
n0 = sum(n10,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f11640,plain,
( sK2 = sum(pred(sum(n2,succ(n10))),sum(n10,n11))
| ~ spl3_3
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11639,f37]) ).
fof(f11639,plain,
( sK2 = sum(pred(sum(n2,succ(n10))),sum(n10,pred(n12)))
| ~ spl3_3
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11638,f98]) ).
fof(f98,plain,
n12 = sum(n2,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f11638,plain,
( sK2 = sum(pred(sum(n2,succ(n10))),sum(n10,pred(sum(n2,n10))))
| ~ spl3_3
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11622,f870]) ).
fof(f11622,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f489,f732]) ).
fof(f11621,plain,
( ~ spl3_1
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f11620]) ).
fof(f11620,plain,
( $false
| ~ spl3_1
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f11619,f498]) ).
fof(f11619,plain,
( n8 = sK2
| ~ spl3_1
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11618,f275]) ).
fof(f11618,plain,
( sum(n10,n19) = sK2
| ~ spl3_1
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11617,f36]) ).
fof(f11617,plain,
( sK2 = sum(pred(n11),n19)
| ~ spl3_1
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11616,f57]) ).
fof(f57,plain,
n11 = sum(n0,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f11616,plain,
( sK2 = sum(pred(sum(n0,n11)),n19)
| ~ spl3_1
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11615,f14]) ).
fof(f11615,plain,
( sK2 = sum(pred(sum(n0,succ(n10))),n19)
| ~ spl3_1
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11614,f265]) ).
fof(f11614,plain,
( sK2 = sum(pred(sum(n0,succ(n10))),sum(n10,n9))
| ~ spl3_1
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11613,f35]) ).
fof(f11613,plain,
( sK2 = sum(pred(sum(n0,succ(n10))),sum(n10,pred(n10)))
| ~ spl3_1
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11612,f56]) ).
fof(f56,plain,
n10 = sum(n0,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f11612,plain,
( sK2 = sum(pred(sum(n0,succ(n10))),sum(n10,pred(sum(n0,n10))))
| ~ spl3_1
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11596,f870]) ).
fof(f11596,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f489,f724]) ).
fof(f11594,plain,
( ~ spl3_11
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f11593]) ).
fof(f11593,plain,
( $false
| ~ spl3_11
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f11592,f497]) ).
fof(f11592,plain,
( n7 = sK2
| ~ spl3_11
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11591,f474]) ).
fof(f474,plain,
n7 = sum(n20,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f11591,plain,
( sum(n20,n8) = sK2
| ~ spl3_11
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11590,f25]) ).
fof(f11590,plain,
( sK2 = sum(pred(n0),n8)
| ~ spl3_11
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11589,f267]) ).
fof(f11589,plain,
( sK2 = sum(pred(sum(n10,n11)),n8)
| ~ spl3_11
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11588,f14]) ).
fof(f11588,plain,
( sK2 = sum(pred(sum(n10,succ(n10))),n8)
| ~ spl3_11
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11587,f275]) ).
fof(f11587,plain,
( sK2 = sum(pred(sum(n10,succ(n10))),sum(n10,n19))
| ~ spl3_11
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11586,f45]) ).
fof(f11586,plain,
( sK2 = sum(pred(sum(n10,succ(n10))),sum(n10,pred(n20)))
| ~ spl3_11
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11585,f266]) ).
fof(f266,plain,
n20 = sum(n10,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f11585,plain,
( sK2 = sum(pred(sum(n10,succ(n10))),sum(n10,pred(sum(n10,n10))))
| ~ spl3_11
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11569,f764]) ).
fof(f11569,plain,
( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
| ~ spl3_32 ),
inference(superposition,[],[f489,f870]) ).
fof(f11547,plain,
( ~ spl3_10
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f11546]) ).
fof(f11546,plain,
( $false
| ~ spl3_10
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f11545,f510]) ).
fof(f11545,plain,
( n20 = sK2
| ~ spl3_10
| ~ spl3_23 ),
inference(forward_demodulation,[],[f11544,f266]) ).
fof(f11544,plain,
( sum(n10,n10) = sK2
| ~ spl3_10
| ~ spl3_23 ),
inference(forward_demodulation,[],[f11543,f36]) ).
fof(f11543,plain,
( sK2 = sum(pred(n11),n10)
| ~ spl3_10
| ~ spl3_23 ),
inference(forward_demodulation,[],[f11542,f237]) ).
fof(f237,plain,
n11 = sum(n9,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f11542,plain,
( sK2 = sum(pred(sum(n9,n2)),n10)
| ~ spl3_10
| ~ spl3_23 ),
inference(forward_demodulation,[],[f11541,f5]) ).
fof(f11541,plain,
( sK2 = sum(pred(sum(n9,succ(n1))),n10)
| ~ spl3_10
| ~ spl3_23 ),
inference(forward_demodulation,[],[f11540,f76]) ).
fof(f76,plain,
n10 = sum(n1,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f11540,plain,
( sK2 = sum(pred(sum(n9,succ(n1))),sum(n1,n9))
| ~ spl3_10
| ~ spl3_23 ),
inference(forward_demodulation,[],[f11539,f35]) ).
fof(f11539,plain,
( sK2 = sum(pred(sum(n9,succ(n1))),sum(n1,pred(n10)))
| ~ spl3_10
| ~ spl3_23 ),
inference(forward_demodulation,[],[f11538,f236]) ).
fof(f236,plain,
n10 = sum(n9,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f11538,plain,
( sK2 = sum(pred(sum(n9,succ(n1))),sum(n1,pred(sum(n9,n1))))
| ~ spl3_10
| ~ spl3_23 ),
inference(forward_demodulation,[],[f11522,f760]) ).
fof(f760,plain,
( n9 = sK0
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f758,plain,
( spl3_10
<=> n9 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f11522,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_23 ),
inference(superposition,[],[f489,f834]) ).
fof(f11521,plain,
( ~ spl3_10
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f11520]) ).
fof(f11520,plain,
( $false
| ~ spl3_10
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f11519,f507]) ).
fof(f11519,plain,
( n17 = sK2
| ~ spl3_10
| ~ spl3_36 ),
inference(forward_demodulation,[],[f11518,f103]) ).
fof(f11518,plain,
( sum(n2,n15) = sK2
| ~ spl3_10
| ~ spl3_36 ),
inference(forward_demodulation,[],[f11517,f28]) ).
fof(f11517,plain,
( sK2 = sum(pred(n3),n15)
| ~ spl3_10
| ~ spl3_36 ),
inference(forward_demodulation,[],[f11516,f250]) ).
fof(f250,plain,
n3 = sum(n9,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f11516,plain,
( sK2 = sum(pred(sum(n9,n15)),n15)
| ~ spl3_10
| ~ spl3_36 ),
inference(forward_demodulation,[],[f11515,f18]) ).
fof(f11515,plain,
( sK2 = sum(pred(sum(n9,succ(n14))),n15)
| ~ spl3_10
| ~ spl3_36 ),
inference(forward_demodulation,[],[f11514,f341]) ).
fof(f341,plain,
n15 = sum(n14,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f11514,plain,
( sK2 = sum(pred(sum(n9,succ(n14))),sum(n14,n1))
| ~ spl3_10
| ~ spl3_36 ),
inference(forward_demodulation,[],[f11513,f27]) ).
fof(f11513,plain,
( sK2 = sum(pred(sum(n9,succ(n14))),sum(n14,pred(n2)))
| ~ spl3_10
| ~ spl3_36 ),
inference(forward_demodulation,[],[f11512,f249]) ).
fof(f11512,plain,
( sK2 = sum(pred(sum(n9,succ(n14))),sum(n14,pred(sum(n9,n14))))
| ~ spl3_10
| ~ spl3_36 ),
inference(forward_demodulation,[],[f11495,f760]) ).
fof(f11495,plain,
( sK2 = sum(pred(sum(sK0,succ(n14))),sum(n14,pred(sum(sK0,n14))))
| ~ spl3_36 ),
inference(superposition,[],[f489,f886]) ).
fof(f11494,plain,
( ~ spl3_10
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f11493]) ).
fof(f11493,plain,
( $false
| ~ spl3_10
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f11492,f504]) ).
fof(f11492,plain,
( n14 = sK2
| ~ spl3_10
| ~ spl3_28 ),
inference(forward_demodulation,[],[f11491,f381]) ).
fof(f381,plain,
n14 = sum(n15,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f11491,plain,
( sum(n15,n20) = sK2
| ~ spl3_10
| ~ spl3_28 ),
inference(forward_demodulation,[],[f11490,f41]) ).
fof(f11490,plain,
( sK2 = sum(pred(n16),n20)
| ~ spl3_10
| ~ spl3_28 ),
inference(forward_demodulation,[],[f11489,f242]) ).
fof(f242,plain,
n16 = sum(n9,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f11489,plain,
( sK2 = sum(pred(sum(n9,n7)),n20)
| ~ spl3_10
| ~ spl3_28 ),
inference(forward_demodulation,[],[f11488,f10]) ).
fof(f11488,plain,
( sK2 = sum(pred(sum(n9,succ(n6))),n20)
| ~ spl3_10
| ~ spl3_28 ),
inference(forward_demodulation,[],[f11487,f186]) ).
fof(f186,plain,
n20 = sum(n6,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f11487,plain,
( sK2 = sum(pred(sum(n9,succ(n6))),sum(n6,n14))
| ~ spl3_10
| ~ spl3_28 ),
inference(forward_demodulation,[],[f11486,f40]) ).
fof(f11486,plain,
( sK2 = sum(pred(sum(n9,succ(n6))),sum(n6,pred(n15)))
| ~ spl3_10
| ~ spl3_28 ),
inference(forward_demodulation,[],[f11485,f241]) ).
fof(f241,plain,
n15 = sum(n9,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f11485,plain,
( sK2 = sum(pred(sum(n9,succ(n6))),sum(n6,pred(sum(n9,n6))))
| ~ spl3_10
| ~ spl3_28 ),
inference(forward_demodulation,[],[f11469,f760]) ).
fof(f11469,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_28 ),
inference(superposition,[],[f489,f854]) ).
fof(f11468,plain,
( ~ spl3_10
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f11467]) ).
fof(f11467,plain,
( $false
| ~ spl3_10
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f11466,f501]) ).
fof(f11466,plain,
( n11 = sK2
| ~ spl3_10
| ~ spl3_34 ),
inference(forward_demodulation,[],[f11465,f57]) ).
fof(f11465,plain,
( sum(n0,n11) = sK2
| ~ spl3_10
| ~ spl3_34 ),
inference(forward_demodulation,[],[f11464,f26]) ).
fof(f11464,plain,
( sK2 = sum(pred(n1),n11)
| ~ spl3_10
| ~ spl3_34 ),
inference(forward_demodulation,[],[f11463,f248]) ).
fof(f248,plain,
n1 = sum(n9,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f11463,plain,
( sK2 = sum(pred(sum(n9,n13)),n11)
| ~ spl3_10
| ~ spl3_34 ),
inference(forward_demodulation,[],[f11462,f16]) ).
fof(f11462,plain,
( sK2 = sum(pred(sum(n9,succ(n12))),n11)
| ~ spl3_10
| ~ spl3_34 ),
inference(forward_demodulation,[],[f11461,f318]) ).
fof(f318,plain,
n11 = sum(n12,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f11461,plain,
( sK2 = sum(pred(sum(n9,succ(n12))),sum(n12,n20))
| ~ spl3_10
| ~ spl3_34 ),
inference(forward_demodulation,[],[f11460,f25]) ).
fof(f11460,plain,
( sK2 = sum(pred(sum(n9,succ(n12))),sum(n12,pred(n0)))
| ~ spl3_10
| ~ spl3_34 ),
inference(forward_demodulation,[],[f11459,f247]) ).
fof(f247,plain,
n0 = sum(n9,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f11459,plain,
( sK2 = sum(pred(sum(n9,succ(n12))),sum(n12,pred(sum(n9,n12))))
| ~ spl3_10
| ~ spl3_34 ),
inference(forward_demodulation,[],[f11442,f760]) ).
fof(f11442,plain,
( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
| ~ spl3_34 ),
inference(superposition,[],[f489,f878]) ).
fof(f11441,plain,
( ~ spl3_10
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f11440]) ).
fof(f11440,plain,
( $false
| ~ spl3_10
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f11439,f492]) ).
fof(f11439,plain,
( n2 = sK2
| ~ spl3_10
| ~ spl3_38 ),
inference(forward_demodulation,[],[f11438,f149]) ).
fof(f11438,plain,
( sum(n4,n19) = sK2
| ~ spl3_10
| ~ spl3_38 ),
inference(forward_demodulation,[],[f11437,f30]) ).
fof(f11437,plain,
( sK2 = sum(pred(n5),n19)
| ~ spl3_10
| ~ spl3_38 ),
inference(forward_demodulation,[],[f11436,f252]) ).
fof(f252,plain,
n5 = sum(n9,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f11436,plain,
( sK2 = sum(pred(sum(n9,n17)),n19)
| ~ spl3_10
| ~ spl3_38 ),
inference(forward_demodulation,[],[f11435,f20]) ).
fof(f11435,plain,
( sK2 = sum(pred(sum(n9,succ(n16))),n19)
| ~ spl3_10
| ~ spl3_38 ),
inference(forward_demodulation,[],[f11434,f385]) ).
fof(f385,plain,
n19 = sum(n16,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f11434,plain,
( sK2 = sum(pred(sum(n9,succ(n16))),sum(n16,n3))
| ~ spl3_10
| ~ spl3_38 ),
inference(forward_demodulation,[],[f11433,f29]) ).
fof(f11433,plain,
( sK2 = sum(pred(sum(n9,succ(n16))),sum(n16,pred(n4)))
| ~ spl3_10
| ~ spl3_38 ),
inference(forward_demodulation,[],[f11432,f251]) ).
fof(f251,plain,
n4 = sum(n9,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f11432,plain,
( sK2 = sum(pred(sum(n9,succ(n16))),sum(n16,pred(sum(n9,n16))))
| ~ spl3_10
| ~ spl3_38 ),
inference(forward_demodulation,[],[f11414,f760]) ).
fof(f11414,plain,
( sK2 = sum(pred(sum(sK0,succ(n16))),sum(n16,pred(sum(sK0,n16))))
| ~ spl3_38 ),
inference(superposition,[],[f489,f894]) ).
fof(f11413,plain,
( ~ spl3_10
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f11412]) ).
fof(f11412,plain,
( $false
| ~ spl3_10
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f11411,f495]) ).
fof(f11411,plain,
( n5 = sK2
| ~ spl3_10
| ~ spl3_25 ),
inference(forward_demodulation,[],[f11410,f312]) ).
fof(f11410,plain,
( sum(n12,n14) = sK2
| ~ spl3_10
| ~ spl3_25 ),
inference(forward_demodulation,[],[f11409,f38]) ).
fof(f11409,plain,
( sK2 = sum(pred(n13),n14)
| ~ spl3_10
| ~ spl3_25 ),
inference(forward_demodulation,[],[f11408,f239]) ).
fof(f239,plain,
n13 = sum(n9,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f11408,plain,
( sK2 = sum(pred(sum(n9,n4)),n14)
| ~ spl3_10
| ~ spl3_25 ),
inference(forward_demodulation,[],[f11407,f7]) ).
fof(f11407,plain,
( sK2 = sum(pred(sum(n9,succ(n3))),n14)
| ~ spl3_10
| ~ spl3_25 ),
inference(forward_demodulation,[],[f11406,f120]) ).
fof(f11406,plain,
( sK2 = sum(pred(sum(n9,succ(n3))),sum(n3,n11))
| ~ spl3_10
| ~ spl3_25 ),
inference(forward_demodulation,[],[f11405,f37]) ).
fof(f11405,plain,
( sK2 = sum(pred(sum(n9,succ(n3))),sum(n3,pred(n12)))
| ~ spl3_10
| ~ spl3_25 ),
inference(forward_demodulation,[],[f11404,f238]) ).
fof(f238,plain,
n12 = sum(n9,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f11404,plain,
( sK2 = sum(pred(sum(n9,succ(n3))),sum(n3,pred(sum(n9,n3))))
| ~ spl3_10
| ~ spl3_25 ),
inference(forward_demodulation,[],[f11387,f760]) ).
fof(f11387,plain,
( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
| ~ spl3_25 ),
inference(superposition,[],[f489,f842]) ).
fof(f11386,plain,
( ~ spl3_10
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f11385]) ).
fof(f11385,plain,
( $false
| ~ spl3_10
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f11384,f495]) ).
fof(f11384,plain,
( n5 = sK2
| ~ spl3_10
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11383,f452]) ).
fof(f452,plain,
n5 = sum(n19,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f11383,plain,
( sum(n19,n7) = sK2
| ~ spl3_10
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11382,f45]) ).
fof(f11382,plain,
( sK2 = sum(pred(n20),n7)
| ~ spl3_10
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11381,f246]) ).
fof(f246,plain,
n20 = sum(n9,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f11381,plain,
( sK2 = sum(pred(sum(n9,n11)),n7)
| ~ spl3_10
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11380,f14]) ).
fof(f11380,plain,
( sK2 = sum(pred(sum(n9,succ(n10))),n7)
| ~ spl3_10
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11379,f274]) ).
fof(f11379,plain,
( sK2 = sum(pred(sum(n9,succ(n10))),sum(n10,n18))
| ~ spl3_10
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11378,f44]) ).
fof(f11378,plain,
( sK2 = sum(pred(sum(n9,succ(n10))),sum(n10,pred(n19)))
| ~ spl3_10
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11377,f245]) ).
fof(f245,plain,
n19 = sum(n9,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f11377,plain,
( sK2 = sum(pred(sum(n9,succ(n10))),sum(n10,pred(sum(n9,n10))))
| ~ spl3_10
| ~ spl3_32 ),
inference(forward_demodulation,[],[f11359,f760]) ).
fof(f11359,plain,
( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
| ~ spl3_32 ),
inference(superposition,[],[f489,f870]) ).
fof(f11358,plain,
( ~ spl3_10
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f11357]) ).
fof(f11357,plain,
( $false
| ~ spl3_10
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f11356,f498]) ).
fof(f11356,plain,
( n8 = sK2
| ~ spl3_10
| ~ spl3_40 ),
inference(forward_demodulation,[],[f11355,f174]) ).
fof(f174,plain,
n8 = sum(n6,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f11355,plain,
( sum(n6,n2) = sK2
| ~ spl3_10
| ~ spl3_40 ),
inference(forward_demodulation,[],[f11354,f32]) ).
fof(f11354,plain,
( sK2 = sum(pred(n7),n2)
| ~ spl3_10
| ~ spl3_40 ),
inference(forward_demodulation,[],[f11353,f254]) ).
fof(f254,plain,
n7 = sum(n9,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f11353,plain,
( sK2 = sum(pred(sum(n9,n19)),n2)
| ~ spl3_10
| ~ spl3_40 ),
inference(forward_demodulation,[],[f11352,f22]) ).
fof(f11352,plain,
( sK2 = sum(pred(sum(n9,succ(n18))),n2)
| ~ spl3_10
| ~ spl3_40 ),
inference(forward_demodulation,[],[f11351,f429]) ).
fof(f429,plain,
n2 = sum(n18,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f11351,plain,
( sK2 = sum(pred(sum(n9,succ(n18))),sum(n18,n5))
| ~ spl3_10
| ~ spl3_40 ),
inference(forward_demodulation,[],[f11350,f31]) ).
fof(f11350,plain,
( sK2 = sum(pred(sum(n9,succ(n18))),sum(n18,pred(n6)))
| ~ spl3_10
| ~ spl3_40 ),
inference(forward_demodulation,[],[f11349,f253]) ).
fof(f253,plain,
n6 = sum(n9,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f11349,plain,
( sK2 = sum(pred(sum(n9,succ(n18))),sum(n18,pred(sum(n9,n18))))
| ~ spl3_10
| ~ spl3_40 ),
inference(forward_demodulation,[],[f11330,f760]) ).
fof(f11330,plain,
( sK2 = sum(pred(sum(sK0,succ(n18))),sum(n18,pred(sum(sK0,n18))))
| ~ spl3_40 ),
inference(superposition,[],[f489,f902]) ).
fof(f11329,plain,
( ~ spl3_10
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f11328]) ).
fof(f11328,plain,
( $false
| ~ spl3_10
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f11327,f510]) ).
fof(f11327,plain,
( n20 = sK2
| ~ spl3_10
| ~ spl3_30 ),
inference(forward_demodulation,[],[f11326,f406]) ).
fof(f406,plain,
n20 = sum(n17,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f11326,plain,
( sum(n17,n3) = sK2
| ~ spl3_10
| ~ spl3_30 ),
inference(forward_demodulation,[],[f11325,f43]) ).
fof(f11325,plain,
( sK2 = sum(pred(n18),n3)
| ~ spl3_10
| ~ spl3_30 ),
inference(forward_demodulation,[],[f11324,f244]) ).
fof(f244,plain,
n18 = sum(n9,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f11324,plain,
( sK2 = sum(pred(sum(n9,n9)),n3)
| ~ spl3_10
| ~ spl3_30 ),
inference(forward_demodulation,[],[f11323,f12]) ).
fof(f11323,plain,
( sK2 = sum(pred(sum(n9,succ(n8))),n3)
| ~ spl3_10
| ~ spl3_30 ),
inference(forward_demodulation,[],[f11322,f230]) ).
fof(f230,plain,
n3 = sum(n8,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f11322,plain,
( sK2 = sum(pred(sum(n9,succ(n8))),sum(n8,n16))
| ~ spl3_10
| ~ spl3_30 ),
inference(forward_demodulation,[],[f11321,f42]) ).
fof(f11321,plain,
( sK2 = sum(pred(sum(n9,succ(n8))),sum(n8,pred(n17)))
| ~ spl3_10
| ~ spl3_30 ),
inference(forward_demodulation,[],[f11320,f243]) ).
fof(f243,plain,
n17 = sum(n9,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f11320,plain,
( sK2 = sum(pred(sum(n9,succ(n8))),sum(n8,pred(sum(n9,n8))))
| ~ spl3_10
| ~ spl3_30 ),
inference(forward_demodulation,[],[f11303,f760]) ).
fof(f11303,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_30 ),
inference(superposition,[],[f489,f862]) ).
fof(f11281,plain,
( ~ spl3_6
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f11280]) ).
fof(f11280,plain,
( $false
| ~ spl3_6
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f11279,f499]) ).
fof(f11279,plain,
( n9 = sK2
| ~ spl3_6
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11278,f316]) ).
fof(f11278,plain,
( sum(n12,n18) = sK2
| ~ spl3_6
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11277,f38]) ).
fof(f11277,plain,
( sK2 = sum(pred(n13),n18)
| ~ spl3_6
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11276,f159]) ).
fof(f11276,plain,
( sK2 = sum(pred(sum(n5,n8)),n18)
| ~ spl3_6
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11275,f11]) ).
fof(f11,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f3]) ).
fof(f11275,plain,
( sK2 = sum(pred(sum(n5,succ(n7))),n18)
| ~ spl3_6
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11274,f204]) ).
fof(f204,plain,
n18 = sum(n7,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f11274,plain,
( sK2 = sum(pred(sum(n5,succ(n7))),sum(n7,n11))
| ~ spl3_6
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11273,f37]) ).
fof(f11273,plain,
( sK2 = sum(pred(sum(n5,succ(n7))),sum(n7,pred(n12)))
| ~ spl3_6
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11272,f158]) ).
fof(f11272,plain,
( sK2 = sum(pred(sum(n5,succ(n7))),sum(n7,pred(sum(n5,n7))))
| ~ spl3_6
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11255,f858]) ).
fof(f858,plain,
( n7 = sK1
| ~ spl3_29 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f856,plain,
( spl3_29
<=> n7 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).
fof(f11255,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f489,f744]) ).
fof(f11254,plain,
( ~ spl3_3
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f11253]) ).
fof(f11253,plain,
( $false
| ~ spl3_3
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f11252,f493]) ).
fof(f11252,plain,
( n3 = sK2
| ~ spl3_3
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11251,f250]) ).
fof(f11251,plain,
( sum(n9,n15) = sK2
| ~ spl3_3
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11250,f35]) ).
fof(f11250,plain,
( sK2 = sum(pred(n10),n15)
| ~ spl3_3
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11249,f96]) ).
fof(f11249,plain,
( sK2 = sum(pred(sum(n2,n8)),n15)
| ~ spl3_3
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11248,f11]) ).
fof(f11248,plain,
( sK2 = sum(pred(sum(n2,succ(n7))),n15)
| ~ spl3_3
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11247,f201]) ).
fof(f201,plain,
n15 = sum(n7,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f11247,plain,
( sK2 = sum(pred(sum(n2,succ(n7))),sum(n7,n8))
| ~ spl3_3
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11246,f34]) ).
fof(f11246,plain,
( sK2 = sum(pred(sum(n2,succ(n7))),sum(n7,pred(n9)))
| ~ spl3_3
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11245,f95]) ).
fof(f11245,plain,
( sK2 = sum(pred(sum(n2,succ(n7))),sum(n7,pred(sum(n2,n7))))
| ~ spl3_3
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11228,f858]) ).
fof(f11228,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f489,f732]) ).
fof(f11227,plain,
( ~ spl3_1
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f11226]) ).
fof(f11226,plain,
( $false
| ~ spl3_1
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f11225,f510]) ).
fof(f11225,plain,
( n20 = sK2
| ~ spl3_1
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11224,f206]) ).
fof(f206,plain,
n20 = sum(n7,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f11224,plain,
( sum(n7,n13) = sK2
| ~ spl3_1
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11223,f33]) ).
fof(f11223,plain,
( sK2 = sum(pred(n8),n13)
| ~ spl3_1
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11222,f54]) ).
fof(f11222,plain,
( sK2 = sum(pred(sum(n0,n8)),n13)
| ~ spl3_1
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11221,f11]) ).
fof(f11221,plain,
( sK2 = sum(pred(sum(n0,succ(n7))),n13)
| ~ spl3_1
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11220,f199]) ).
fof(f199,plain,
n13 = sum(n7,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f11220,plain,
( sK2 = sum(pred(sum(n0,succ(n7))),sum(n7,n6))
| ~ spl3_1
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11219,f32]) ).
fof(f11219,plain,
( sK2 = sum(pred(sum(n0,succ(n7))),sum(n7,pred(n7)))
| ~ spl3_1
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11218,f53]) ).
fof(f11218,plain,
( sK2 = sum(pred(sum(n0,succ(n7))),sum(n7,pred(sum(n0,n7))))
| ~ spl3_1
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11201,f858]) ).
fof(f11201,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f489,f724]) ).
fof(f11200,plain,
( ~ spl3_12
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f11199]) ).
fof(f11199,plain,
( $false
| ~ spl3_12
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f11198,f490]) ).
fof(f11198,plain,
( n0 = sK2
| ~ spl3_12
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11197,f427]) ).
fof(f427,plain,
n0 = sum(n18,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f11197,plain,
( sum(n18,n3) = sK2
| ~ spl3_12
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11196,f44]) ).
fof(f11196,plain,
( sK2 = sum(pred(n19),n3)
| ~ spl3_12
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11195,f285]) ).
fof(f11195,plain,
( sK2 = sum(pred(sum(n11,n8)),n3)
| ~ spl3_12
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11194,f11]) ).
fof(f11194,plain,
( sK2 = sum(pred(sum(n11,succ(n7))),n3)
| ~ spl3_12
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11193,f210]) ).
fof(f210,plain,
n3 = sum(n7,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f11193,plain,
( sK2 = sum(pred(sum(n11,succ(n7))),sum(n7,n17))
| ~ spl3_12
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11192,f43]) ).
fof(f11192,plain,
( sK2 = sum(pred(sum(n11,succ(n7))),sum(n7,pred(n18)))
| ~ spl3_12
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11191,f284]) ).
fof(f11191,plain,
( sK2 = sum(pred(sum(n11,succ(n7))),sum(n7,pred(sum(n11,n7))))
| ~ spl3_12
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11173,f858]) ).
fof(f11173,plain,
( sK2 = sum(pred(sum(n11,succ(sK1))),sum(sK1,pred(sum(n11,sK1))))
| ~ spl3_12 ),
inference(superposition,[],[f489,f768]) ).
fof(f11172,plain,
( ~ spl3_4
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f11171]) ).
fof(f11171,plain,
( $false
| ~ spl3_4
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f11170,f495]) ).
fof(f11170,plain,
( n5 = sK2
| ~ spl3_4
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11169,f272]) ).
fof(f11169,plain,
( sum(n10,n16) = sK2
| ~ spl3_4
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11168,f36]) ).
fof(f11168,plain,
( sK2 = sum(pred(n11),n16)
| ~ spl3_4
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11167,f117]) ).
fof(f11167,plain,
( sK2 = sum(pred(sum(n3,n8)),n16)
| ~ spl3_4
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11166,f11]) ).
fof(f11166,plain,
( sK2 = sum(pred(sum(n3,succ(n7))),n16)
| ~ spl3_4
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11165,f202]) ).
fof(f11165,plain,
( sK2 = sum(pred(sum(n3,succ(n7))),sum(n7,n9))
| ~ spl3_4
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11164,f35]) ).
fof(f11164,plain,
( sK2 = sum(pred(sum(n3,succ(n7))),sum(n7,pred(n10)))
| ~ spl3_4
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11163,f116]) ).
fof(f11163,plain,
( sK2 = sum(pred(sum(n3,succ(n7))),sum(n7,pred(sum(n3,n7))))
| ~ spl3_4
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11145,f858]) ).
fof(f11145,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f489,f736]) ).
fof(f11144,plain,
( ~ spl3_13
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f11143]) ).
fof(f11143,plain,
( $false
| ~ spl3_13
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f11142,f492]) ).
fof(f11142,plain,
( n2 = sK2
| ~ spl3_13
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11141,f449]) ).
fof(f449,plain,
n2 = sum(n19,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f11141,plain,
( sum(n19,n4) = sK2
| ~ spl3_13
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11140,f45]) ).
fof(f11140,plain,
( sK2 = sum(pred(n20),n4)
| ~ spl3_13
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11139,f306]) ).
fof(f11139,plain,
( sK2 = sum(pred(sum(n12,n8)),n4)
| ~ spl3_13
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11138,f11]) ).
fof(f11138,plain,
( sK2 = sum(pred(sum(n12,succ(n7))),n4)
| ~ spl3_13
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11137,f211]) ).
fof(f211,plain,
n4 = sum(n7,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f11137,plain,
( sK2 = sum(pred(sum(n12,succ(n7))),sum(n7,n18))
| ~ spl3_13
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11136,f44]) ).
fof(f11136,plain,
( sK2 = sum(pred(sum(n12,succ(n7))),sum(n7,pred(n19)))
| ~ spl3_13
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11135,f305]) ).
fof(f11135,plain,
( sK2 = sum(pred(sum(n12,succ(n7))),sum(n7,pred(sum(n12,n7))))
| ~ spl3_13
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11116,f858]) ).
fof(f11116,plain,
( sK2 = sum(pred(sum(n12,succ(sK1))),sum(sK1,pred(sum(n12,sK1))))
| ~ spl3_13 ),
inference(superposition,[],[f489,f772]) ).
fof(f11115,plain,
( ~ spl3_10
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f11114]) ).
fof(f11114,plain,
( $false
| ~ spl3_10
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f11113,f507]) ).
fof(f11113,plain,
( n17 = sK2
| ~ spl3_10
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11112,f383]) ).
fof(f383,plain,
n17 = sum(n16,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f11112,plain,
( sum(n16,n1) = sK2
| ~ spl3_10
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11111,f42]) ).
fof(f11111,plain,
( sK2 = sum(pred(n17),n1)
| ~ spl3_10
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11110,f243]) ).
fof(f11110,plain,
( sK2 = sum(pred(sum(n9,n8)),n1)
| ~ spl3_10
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11109,f11]) ).
fof(f11109,plain,
( sK2 = sum(pred(sum(n9,succ(n7))),n1)
| ~ spl3_10
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11108,f208]) ).
fof(f208,plain,
n1 = sum(n7,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f11108,plain,
( sK2 = sum(pred(sum(n9,succ(n7))),sum(n7,n15))
| ~ spl3_10
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11107,f41]) ).
fof(f11107,plain,
( sK2 = sum(pred(sum(n9,succ(n7))),sum(n7,pred(n16)))
| ~ spl3_10
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11106,f242]) ).
fof(f11106,plain,
( sK2 = sum(pred(sum(n9,succ(n7))),sum(n7,pred(sum(n9,n7))))
| ~ spl3_10
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11089,f858]) ).
fof(f11089,plain,
( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
| ~ spl3_10 ),
inference(superposition,[],[f489,f760]) ).
fof(f11088,plain,
( ~ spl3_5
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f11087]) ).
fof(f11087,plain,
( $false
| ~ spl3_5
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f11086,f497]) ).
fof(f11086,plain,
( n7 = sK2
| ~ spl3_5
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11085,f294]) ).
fof(f11085,plain,
( sum(n11,n17) = sK2
| ~ spl3_5
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11084,f37]) ).
fof(f11084,plain,
( sK2 = sum(pred(n12),n17)
| ~ spl3_5
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11083,f138]) ).
fof(f11083,plain,
( sK2 = sum(pred(sum(n4,n8)),n17)
| ~ spl3_5
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11082,f11]) ).
fof(f11082,plain,
( sK2 = sum(pred(sum(n4,succ(n7))),n17)
| ~ spl3_5
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11081,f203]) ).
fof(f203,plain,
n17 = sum(n7,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f11081,plain,
( sK2 = sum(pred(sum(n4,succ(n7))),sum(n7,n10))
| ~ spl3_5
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11080,f36]) ).
fof(f11080,plain,
( sK2 = sum(pred(sum(n4,succ(n7))),sum(n7,pred(n11)))
| ~ spl3_5
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11079,f137]) ).
fof(f11079,plain,
( sK2 = sum(pred(sum(n4,succ(n7))),sum(n7,pred(sum(n4,n7))))
| ~ spl3_5
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11062,f858]) ).
fof(f11062,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f489,f740]) ).
fof(f11060,plain,
( ~ spl3_11
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f11059]) ).
fof(f11059,plain,
( $false
| ~ spl3_11
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f11058,f509]) ).
fof(f11058,plain,
( n19 = sK2
| ~ spl3_11
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11057,f405]) ).
fof(f405,plain,
n19 = sum(n17,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f11057,plain,
( sum(n17,n2) = sK2
| ~ spl3_11
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11056,f43]) ).
fof(f11056,plain,
( sK2 = sum(pred(n18),n2)
| ~ spl3_11
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11055,f264]) ).
fof(f11055,plain,
( sK2 = sum(pred(sum(n10,n8)),n2)
| ~ spl3_11
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11054,f11]) ).
fof(f11054,plain,
( sK2 = sum(pred(sum(n10,succ(n7))),n2)
| ~ spl3_11
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11053,f209]) ).
fof(f209,plain,
n2 = sum(n7,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f11053,plain,
( sK2 = sum(pred(sum(n10,succ(n7))),sum(n7,n16))
| ~ spl3_11
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11052,f42]) ).
fof(f11052,plain,
( sK2 = sum(pred(sum(n10,succ(n7))),sum(n7,pred(n17)))
| ~ spl3_11
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11051,f263]) ).
fof(f11051,plain,
( sK2 = sum(pred(sum(n10,succ(n7))),sum(n7,pred(sum(n10,n7))))
| ~ spl3_11
| ~ spl3_29 ),
inference(forward_demodulation,[],[f11034,f764]) ).
fof(f11034,plain,
( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
| ~ spl3_29 ),
inference(superposition,[],[f489,f858]) ).
fof(f11012,plain,
( ~ spl3_9
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f11011]) ).
fof(f11011,plain,
( $false
| ~ spl3_9
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f11010,f505]) ).
fof(f11010,plain,
( n15 = sK2
| ~ spl3_9
| ~ spl3_36 ),
inference(forward_demodulation,[],[f11009,f81]) ).
fof(f81,plain,
n15 = sum(n1,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f11009,plain,
( sum(n1,n14) = sK2
| ~ spl3_9
| ~ spl3_36 ),
inference(forward_demodulation,[],[f11008,f27]) ).
fof(f11008,plain,
( sK2 = sum(pred(n2),n14)
| ~ spl3_9
| ~ spl3_36 ),
inference(forward_demodulation,[],[f11007,f229]) ).
fof(f11007,plain,
( sK2 = sum(pred(sum(n8,n15)),n14)
| ~ spl3_9
| ~ spl3_36 ),
inference(forward_demodulation,[],[f11006,f18]) ).
fof(f11006,plain,
( sK2 = sum(pred(sum(n8,succ(n14))),n14)
| ~ spl3_9
| ~ spl3_36 ),
inference(forward_demodulation,[],[f11005,f340]) ).
fof(f340,plain,
n14 = sum(n14,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f11005,plain,
( sK2 = sum(pred(sum(n8,succ(n14))),sum(n14,n0))
| ~ spl3_9
| ~ spl3_36 ),
inference(forward_demodulation,[],[f11004,f26]) ).
fof(f11004,plain,
( sK2 = sum(pred(sum(n8,succ(n14))),sum(n14,pred(n1)))
| ~ spl3_9
| ~ spl3_36 ),
inference(forward_demodulation,[],[f11003,f228]) ).
fof(f228,plain,
n1 = sum(n8,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f11003,plain,
( sK2 = sum(pred(sum(n8,succ(n14))),sum(n14,pred(sum(n8,n14))))
| ~ spl3_9
| ~ spl3_36 ),
inference(forward_demodulation,[],[f10985,f756]) ).
fof(f756,plain,
( n8 = sK0
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f754,plain,
( spl3_9
<=> n8 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f10985,plain,
( sK2 = sum(pred(sum(sK0,succ(n14))),sum(n14,pred(sum(sK0,n14))))
| ~ spl3_36 ),
inference(superposition,[],[f489,f886]) ).
fof(f10984,plain,
( ~ spl3_9
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f10983]) ).
fof(f10983,plain,
( $false
| ~ spl3_9
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f10982,f493]) ).
fof(f10982,plain,
( n3 = sK2
| ~ spl3_9
| ~ spl3_32 ),
inference(forward_demodulation,[],[f10981,f430]) ).
fof(f10981,plain,
( sum(n18,n6) = sK2
| ~ spl3_9
| ~ spl3_32 ),
inference(forward_demodulation,[],[f10980,f44]) ).
fof(f10980,plain,
( sK2 = sum(pred(n19),n6)
| ~ spl3_9
| ~ spl3_32 ),
inference(forward_demodulation,[],[f10979,f225]) ).
fof(f10979,plain,
( sK2 = sum(pred(sum(n8,n11)),n6)
| ~ spl3_9
| ~ spl3_32 ),
inference(forward_demodulation,[],[f10978,f14]) ).
fof(f10978,plain,
( sK2 = sum(pred(sum(n8,succ(n10))),n6)
| ~ spl3_9
| ~ spl3_32 ),
inference(forward_demodulation,[],[f10977,f273]) ).
fof(f10977,plain,
( sK2 = sum(pred(sum(n8,succ(n10))),sum(n10,n17))
| ~ spl3_9
| ~ spl3_32 ),
inference(forward_demodulation,[],[f10976,f43]) ).
fof(f10976,plain,
( sK2 = sum(pred(sum(n8,succ(n10))),sum(n10,pred(n18)))
| ~ spl3_9
| ~ spl3_32 ),
inference(forward_demodulation,[],[f10975,f224]) ).
fof(f10975,plain,
( sK2 = sum(pred(sum(n8,succ(n10))),sum(n10,pred(sum(n8,n10))))
| ~ spl3_9
| ~ spl3_32 ),
inference(forward_demodulation,[],[f10957,f756]) ).
fof(f10957,plain,
( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
| ~ spl3_32 ),
inference(superposition,[],[f489,f870]) ).
fof(f10956,plain,
( ~ spl3_9
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f10955]) ).
fof(f10955,plain,
( $false
| ~ spl3_9
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f10954,f502]) ).
fof(f10954,plain,
( n12 = sK2
| ~ spl3_9
| ~ spl3_28 ),
inference(forward_demodulation,[],[f10953,f359]) ).
fof(f359,plain,
n12 = sum(n14,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f10953,plain,
( sum(n14,n19) = sK2
| ~ spl3_9
| ~ spl3_28 ),
inference(forward_demodulation,[],[f10952,f40]) ).
fof(f10952,plain,
( sK2 = sum(pred(n15),n19)
| ~ spl3_9
| ~ spl3_28 ),
inference(forward_demodulation,[],[f10951,f221]) ).
fof(f10951,plain,
( sK2 = sum(pred(sum(n8,n7)),n19)
| ~ spl3_9
| ~ spl3_28 ),
inference(forward_demodulation,[],[f10950,f10]) ).
fof(f10950,plain,
( sK2 = sum(pred(sum(n8,succ(n6))),n19)
| ~ spl3_9
| ~ spl3_28 ),
inference(forward_demodulation,[],[f10949,f185]) ).
fof(f185,plain,
n19 = sum(n6,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f10949,plain,
( sK2 = sum(pred(sum(n8,succ(n6))),sum(n6,n13))
| ~ spl3_9
| ~ spl3_28 ),
inference(forward_demodulation,[],[f10948,f39]) ).
fof(f10948,plain,
( sK2 = sum(pred(sum(n8,succ(n6))),sum(n6,pred(n14)))
| ~ spl3_9
| ~ spl3_28 ),
inference(forward_demodulation,[],[f10947,f220]) ).
fof(f220,plain,
n14 = sum(n8,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f10947,plain,
( sK2 = sum(pred(sum(n8,succ(n6))),sum(n6,pred(sum(n8,n6))))
| ~ spl3_9
| ~ spl3_28 ),
inference(forward_demodulation,[],[f10929,f756]) ).
fof(f10929,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_28 ),
inference(superposition,[],[f489,f854]) ).
fof(f10928,plain,
( ~ spl3_9
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f10927]) ).
fof(f10927,plain,
( $false
| ~ spl3_9
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f10926,f496]) ).
fof(f10926,plain,
( n6 = sK2
| ~ spl3_9
| ~ spl3_40 ),
inference(forward_demodulation,[],[f10925,f152]) ).
fof(f10925,plain,
( sum(n5,n1) = sK2
| ~ spl3_9
| ~ spl3_40 ),
inference(forward_demodulation,[],[f10924,f31]) ).
fof(f10924,plain,
( sK2 = sum(pred(n6),n1)
| ~ spl3_9
| ~ spl3_40 ),
inference(forward_demodulation,[],[f10923,f233]) ).
fof(f10923,plain,
( sK2 = sum(pred(sum(n8,n19)),n1)
| ~ spl3_9
| ~ spl3_40 ),
inference(forward_demodulation,[],[f10922,f22]) ).
fof(f10922,plain,
( sK2 = sum(pred(sum(n8,succ(n18))),n1)
| ~ spl3_9
| ~ spl3_40 ),
inference(forward_demodulation,[],[f10921,f428]) ).
fof(f10921,plain,
( sK2 = sum(pred(sum(n8,succ(n18))),sum(n18,n4))
| ~ spl3_9
| ~ spl3_40 ),
inference(forward_demodulation,[],[f10920,f30]) ).
fof(f10920,plain,
( sK2 = sum(pred(sum(n8,succ(n18))),sum(n18,pred(n5)))
| ~ spl3_9
| ~ spl3_40 ),
inference(forward_demodulation,[],[f10919,f232]) ).
fof(f10919,plain,
( sK2 = sum(pred(sum(n8,succ(n18))),sum(n18,pred(sum(n8,n18))))
| ~ spl3_9
| ~ spl3_40 ),
inference(forward_demodulation,[],[f10900,f756]) ).
fof(f10900,plain,
( sK2 = sum(pred(sum(sK0,succ(n18))),sum(n18,pred(sum(sK0,n18))))
| ~ spl3_40 ),
inference(superposition,[],[f489,f902]) ).
fof(f10899,plain,
( ~ spl3_9
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f10898]) ).
fof(f10898,plain,
( $false
| ~ spl3_9
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f10897,f493]) ).
fof(f10897,plain,
( n3 = sK2
| ~ spl3_9
| ~ spl3_25 ),
inference(forward_demodulation,[],[f10896,f290]) ).
fof(f10896,plain,
( sum(n11,n13) = sK2
| ~ spl3_9
| ~ spl3_25 ),
inference(forward_demodulation,[],[f10895,f37]) ).
fof(f10895,plain,
( sK2 = sum(pred(n12),n13)
| ~ spl3_9
| ~ spl3_25 ),
inference(forward_demodulation,[],[f10894,f218]) ).
fof(f10894,plain,
( sK2 = sum(pred(sum(n8,n4)),n13)
| ~ spl3_9
| ~ spl3_25 ),
inference(forward_demodulation,[],[f10893,f7]) ).
fof(f10893,plain,
( sK2 = sum(pred(sum(n8,succ(n3))),n13)
| ~ spl3_9
| ~ spl3_25 ),
inference(forward_demodulation,[],[f10892,f119]) ).
fof(f10892,plain,
( sK2 = sum(pred(sum(n8,succ(n3))),sum(n3,n10))
| ~ spl3_9
| ~ spl3_25 ),
inference(forward_demodulation,[],[f10891,f36]) ).
fof(f10891,plain,
( sK2 = sum(pred(sum(n8,succ(n3))),sum(n3,pred(n11)))
| ~ spl3_9
| ~ spl3_25 ),
inference(forward_demodulation,[],[f10890,f217]) ).
fof(f217,plain,
n11 = sum(n8,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f10890,plain,
( sK2 = sum(pred(sum(n8,succ(n3))),sum(n3,pred(sum(n8,n3))))
| ~ spl3_9
| ~ spl3_25 ),
inference(forward_demodulation,[],[f10875,f756]) ).
fof(f10875,plain,
( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
| ~ spl3_25 ),
inference(superposition,[],[f489,f842]) ).
fof(f10874,plain,
( ~ spl3_9
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f10873]) ).
fof(f10873,plain,
( $false
| ~ spl3_9
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f10872,f508]) ).
fof(f10872,plain,
( n18 = sK2
| ~ spl3_9
| ~ spl3_30 ),
inference(forward_demodulation,[],[f10871,f384]) ).
fof(f384,plain,
n18 = sum(n16,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f10871,plain,
( sum(n16,n2) = sK2
| ~ spl3_9
| ~ spl3_30 ),
inference(forward_demodulation,[],[f10870,f42]) ).
fof(f10870,plain,
( sK2 = sum(pred(n17),n2)
| ~ spl3_9
| ~ spl3_30 ),
inference(forward_demodulation,[],[f10869,f223]) ).
fof(f10869,plain,
( sK2 = sum(pred(sum(n8,n9)),n2)
| ~ spl3_9
| ~ spl3_30 ),
inference(forward_demodulation,[],[f10868,f12]) ).
fof(f10868,plain,
( sK2 = sum(pred(sum(n8,succ(n8))),n2)
| ~ spl3_9
| ~ spl3_30 ),
inference(forward_demodulation,[],[f10867,f229]) ).
fof(f10867,plain,
( sK2 = sum(pred(sum(n8,succ(n8))),sum(n8,n15))
| ~ spl3_9
| ~ spl3_30 ),
inference(forward_demodulation,[],[f10866,f41]) ).
fof(f10866,plain,
( sK2 = sum(pred(sum(n8,succ(n8))),sum(n8,pred(n16)))
| ~ spl3_9
| ~ spl3_30 ),
inference(forward_demodulation,[],[f10865,f222]) ).
fof(f222,plain,
n16 = sum(n8,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f10865,plain,
( sK2 = sum(pred(sum(n8,succ(n8))),sum(n8,pred(sum(n8,n8))))
| ~ spl3_9
| ~ spl3_30 ),
inference(forward_demodulation,[],[f10849,f756]) ).
fof(f10849,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_30 ),
inference(superposition,[],[f489,f862]) ).
fof(f10848,plain,
( ~ spl3_9
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f10847]) ).
fof(f10847,plain,
( $false
| ~ spl3_9
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f10846,f508]) ).
fof(f10846,plain,
( n18 = sK2
| ~ spl3_9
| ~ spl3_23 ),
inference(forward_demodulation,[],[f10845,f244]) ).
fof(f10845,plain,
( sum(n9,n9) = sK2
| ~ spl3_9
| ~ spl3_23 ),
inference(forward_demodulation,[],[f10844,f35]) ).
fof(f10844,plain,
( sK2 = sum(pred(n10),n9)
| ~ spl3_9
| ~ spl3_23 ),
inference(forward_demodulation,[],[f10843,f216]) ).
fof(f216,plain,
n10 = sum(n8,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f10843,plain,
( sK2 = sum(pred(sum(n8,n2)),n9)
| ~ spl3_9
| ~ spl3_23 ),
inference(forward_demodulation,[],[f10842,f5]) ).
fof(f10842,plain,
( sK2 = sum(pred(sum(n8,succ(n1))),n9)
| ~ spl3_9
| ~ spl3_23 ),
inference(forward_demodulation,[],[f10841,f75]) ).
fof(f75,plain,
n9 = sum(n1,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f10841,plain,
( sK2 = sum(pred(sum(n8,succ(n1))),sum(n1,n8))
| ~ spl3_9
| ~ spl3_23 ),
inference(forward_demodulation,[],[f10840,f34]) ).
fof(f10840,plain,
( sK2 = sum(pred(sum(n8,succ(n1))),sum(n1,pred(n9)))
| ~ spl3_9
| ~ spl3_23 ),
inference(forward_demodulation,[],[f10839,f215]) ).
fof(f215,plain,
n9 = sum(n8,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f10839,plain,
( sK2 = sum(pred(sum(n8,succ(n1))),sum(n1,pred(sum(n8,n1))))
| ~ spl3_9
| ~ spl3_23 ),
inference(forward_demodulation,[],[f10823,f756]) ).
fof(f10823,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_23 ),
inference(superposition,[],[f489,f834]) ).
fof(f10822,plain,
( ~ spl3_9
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f10821]) ).
fof(f10821,plain,
( $false
| ~ spl3_9
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f10820,f499]) ).
fof(f10820,plain,
( n9 = sK2
| ~ spl3_9
| ~ spl3_34 ),
inference(forward_demodulation,[],[f10819,f476]) ).
fof(f476,plain,
n9 = sum(n20,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f10819,plain,
( sum(n20,n10) = sK2
| ~ spl3_9
| ~ spl3_34 ),
inference(forward_demodulation,[],[f10818,f25]) ).
fof(f10818,plain,
( sK2 = sum(pred(n0),n10)
| ~ spl3_9
| ~ spl3_34 ),
inference(forward_demodulation,[],[f10817,f227]) ).
fof(f10817,plain,
( sK2 = sum(pred(sum(n8,n13)),n10)
| ~ spl3_9
| ~ spl3_34 ),
inference(forward_demodulation,[],[f10816,f16]) ).
fof(f10816,plain,
( sK2 = sum(pred(sum(n8,succ(n12))),n10)
| ~ spl3_9
| ~ spl3_34 ),
inference(forward_demodulation,[],[f10815,f317]) ).
fof(f10815,plain,
( sK2 = sum(pred(sum(n8,succ(n12))),sum(n12,n19))
| ~ spl3_9
| ~ spl3_34 ),
inference(forward_demodulation,[],[f10814,f45]) ).
fof(f10814,plain,
( sK2 = sum(pred(sum(n8,succ(n12))),sum(n12,pred(n20)))
| ~ spl3_9
| ~ spl3_34 ),
inference(forward_demodulation,[],[f10813,f226]) ).
fof(f10813,plain,
( sK2 = sum(pred(sum(n8,succ(n12))),sum(n12,pred(sum(n8,n12))))
| ~ spl3_9
| ~ spl3_34 ),
inference(forward_demodulation,[],[f10796,f756]) ).
fof(f10796,plain,
( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
| ~ spl3_34 ),
inference(superposition,[],[f489,f878]) ).
fof(f10795,plain,
( ~ spl3_9
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f10794]) ).
fof(f10794,plain,
( $false
| ~ spl3_9
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f10793,f490]) ).
fof(f10793,plain,
( n0 = sK2
| ~ spl3_9
| ~ spl3_38 ),
inference(forward_demodulation,[],[f10792,f127]) ).
fof(f10792,plain,
( sum(n3,n18) = sK2
| ~ spl3_9
| ~ spl3_38 ),
inference(forward_demodulation,[],[f10791,f29]) ).
fof(f10791,plain,
( sK2 = sum(pred(n4),n18)
| ~ spl3_9
| ~ spl3_38 ),
inference(forward_demodulation,[],[f10790,f231]) ).
fof(f10790,plain,
( sK2 = sum(pred(sum(n8,n17)),n18)
| ~ spl3_9
| ~ spl3_38 ),
inference(forward_demodulation,[],[f10789,f20]) ).
fof(f10789,plain,
( sK2 = sum(pred(sum(n8,succ(n16))),n18)
| ~ spl3_9
| ~ spl3_38 ),
inference(forward_demodulation,[],[f10788,f384]) ).
fof(f10788,plain,
( sK2 = sum(pred(sum(n8,succ(n16))),sum(n16,n2))
| ~ spl3_9
| ~ spl3_38 ),
inference(forward_demodulation,[],[f10787,f28]) ).
fof(f10787,plain,
( sK2 = sum(pred(sum(n8,succ(n16))),sum(n16,pred(n3)))
| ~ spl3_9
| ~ spl3_38 ),
inference(forward_demodulation,[],[f10786,f230]) ).
fof(f10786,plain,
( sK2 = sum(pred(sum(n8,succ(n16))),sum(n16,pred(sum(n8,n16))))
| ~ spl3_9
| ~ spl3_38 ),
inference(forward_demodulation,[],[f10768,f756]) ).
fof(f10768,plain,
( sK2 = sum(pred(sum(sK0,succ(n16))),sum(n16,pred(sum(sK0,n16))))
| ~ spl3_38 ),
inference(superposition,[],[f489,f894]) ).
fof(f10767,plain,
( ~ spl3_9
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f10766]) ).
fof(f10766,plain,
( $false
| ~ spl3_9
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f10765,f505]) ).
fof(f10765,plain,
( n15 = sK2
| ~ spl3_9
| ~ spl3_29 ),
inference(forward_demodulation,[],[f10764,f361]) ).
fof(f361,plain,
n15 = sum(n15,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f10764,plain,
( sum(n15,n0) = sK2
| ~ spl3_9
| ~ spl3_29 ),
inference(forward_demodulation,[],[f10763,f41]) ).
fof(f10763,plain,
( sK2 = sum(pred(n16),n0)
| ~ spl3_9
| ~ spl3_29 ),
inference(forward_demodulation,[],[f10762,f222]) ).
fof(f10762,plain,
( sK2 = sum(pred(sum(n8,n8)),n0)
| ~ spl3_9
| ~ spl3_29 ),
inference(forward_demodulation,[],[f10761,f11]) ).
fof(f10761,plain,
( sK2 = sum(pred(sum(n8,succ(n7))),n0)
| ~ spl3_9
| ~ spl3_29 ),
inference(forward_demodulation,[],[f10760,f207]) ).
fof(f207,plain,
n0 = sum(n7,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f10760,plain,
( sK2 = sum(pred(sum(n8,succ(n7))),sum(n7,n14))
| ~ spl3_9
| ~ spl3_29 ),
inference(forward_demodulation,[],[f10759,f40]) ).
fof(f10759,plain,
( sK2 = sum(pred(sum(n8,succ(n7))),sum(n7,pred(n15)))
| ~ spl3_9
| ~ spl3_29 ),
inference(forward_demodulation,[],[f10758,f221]) ).
fof(f10758,plain,
( sK2 = sum(pred(sum(n8,succ(n7))),sum(n7,pred(sum(n8,n7))))
| ~ spl3_9
| ~ spl3_29 ),
inference(forward_demodulation,[],[f10740,f756]) ).
fof(f10740,plain,
( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
| ~ spl3_29 ),
inference(superposition,[],[f489,f858]) ).
fof(f10735,plain,
( ~ spl3_9
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f10734]) ).
fof(f10734,plain,
( $false
| ~ spl3_9
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f10733,f499]) ).
fof(f10733,plain,
( n9 = sK2
| ~ spl3_9
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10732,f336]) ).
fof(f336,plain,
n9 = sum(n13,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f10732,plain,
( sum(n13,n17) = sK2
| ~ spl3_9
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10731,f39]) ).
fof(f10731,plain,
( sK2 = sum(pred(n14),n17)
| ~ spl3_9
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10730,f220]) ).
fof(f10730,plain,
( sK2 = sum(pred(sum(n8,n6)),n17)
| ~ spl3_9
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10729,f9]) ).
fof(f9,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f3]) ).
fof(f10729,plain,
( sK2 = sum(pred(sum(n8,succ(n5))),n17)
| ~ spl3_9
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10728,f163]) ).
fof(f10728,plain,
( sK2 = sum(pred(sum(n8,succ(n5))),sum(n5,n12))
| ~ spl3_9
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10727,f38]) ).
fof(f10727,plain,
( sK2 = sum(pred(sum(n8,succ(n5))),sum(n5,pred(n13)))
| ~ spl3_9
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10726,f219]) ).
fof(f219,plain,
n13 = sum(n8,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f10726,plain,
( sK2 = sum(pred(sum(n8,succ(n5))),sum(n5,pred(sum(n8,n5))))
| ~ spl3_9
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10709,f850]) ).
fof(f850,plain,
( n5 = sK1
| ~ spl3_27 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f848,plain,
( spl3_27
<=> n5 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).
fof(f10709,plain,
( sK2 = sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1))))
| ~ spl3_9 ),
inference(superposition,[],[f489,f756]) ).
fof(f10708,plain,
( ~ spl3_10
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f10707]) ).
fof(f10707,plain,
( $false
| ~ spl3_10
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f10706,f501]) ).
fof(f10706,plain,
( n11 = sK2
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10705,f358]) ).
fof(f10705,plain,
( sum(n14,n18) = sK2
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10704,f40]) ).
fof(f10704,plain,
( sK2 = sum(pred(n15),n18)
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10703,f241]) ).
fof(f10703,plain,
( sK2 = sum(pred(sum(n9,n6)),n18)
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10702,f9]) ).
fof(f10702,plain,
( sK2 = sum(pred(sum(n9,succ(n5))),n18)
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10701,f164]) ).
fof(f10701,plain,
( sK2 = sum(pred(sum(n9,succ(n5))),sum(n5,n13))
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10700,f39]) ).
fof(f10700,plain,
( sK2 = sum(pred(sum(n9,succ(n5))),sum(n5,pred(n14)))
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10699,f240]) ).
fof(f10699,plain,
( sK2 = sum(pred(sum(n9,succ(n5))),sum(n5,pred(sum(n9,n5))))
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10681,f850]) ).
fof(f10681,plain,
( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
| ~ spl3_10 ),
inference(superposition,[],[f489,f760]) ).
fof(f10680,plain,
( ~ spl3_3
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f10679]) ).
fof(f10679,plain,
( $false
| ~ spl3_3
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f10678,f508]) ).
fof(f10678,plain,
( n18 = sK2
| ~ spl3_3
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10677,f204]) ).
fof(f10677,plain,
( sum(n7,n11) = sK2
| ~ spl3_3
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10676,f33]) ).
fof(f10676,plain,
( sK2 = sum(pred(n8),n11)
| ~ spl3_3
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10675,f94]) ).
fof(f10675,plain,
( sK2 = sum(pred(sum(n2,n6)),n11)
| ~ spl3_3
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10674,f9]) ).
fof(f10674,plain,
( sK2 = sum(pred(sum(n2,succ(n5))),n11)
| ~ spl3_3
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10673,f157]) ).
fof(f10673,plain,
( sK2 = sum(pred(sum(n2,succ(n5))),sum(n5,n6))
| ~ spl3_3
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10672,f32]) ).
fof(f10672,plain,
( sK2 = sum(pred(sum(n2,succ(n5))),sum(n5,pred(n7)))
| ~ spl3_3
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10671,f93]) ).
fof(f93,plain,
n7 = sum(n2,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f10671,plain,
( sK2 = sum(pred(sum(n2,succ(n5))),sum(n5,pred(sum(n2,n5))))
| ~ spl3_3
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10655,f850]) ).
fof(f10655,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f489,f732]) ).
fof(f10654,plain,
( ~ spl3_5
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f10653]) ).
fof(f10653,plain,
( $false
| ~ spl3_5
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f10652,f491]) ).
fof(f10652,plain,
( n1 = sK2
| ~ spl3_5
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10651,f248]) ).
fof(f10651,plain,
( sum(n9,n13) = sK2
| ~ spl3_5
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10650,f35]) ).
fof(f10650,plain,
( sK2 = sum(pred(n10),n13)
| ~ spl3_5
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10649,f136]) ).
fof(f10649,plain,
( sK2 = sum(pred(sum(n4,n6)),n13)
| ~ spl3_5
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10648,f9]) ).
fof(f10648,plain,
( sK2 = sum(pred(sum(n4,succ(n5))),n13)
| ~ spl3_5
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10647,f159]) ).
fof(f10647,plain,
( sK2 = sum(pred(sum(n4,succ(n5))),sum(n5,n8))
| ~ spl3_5
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10646,f34]) ).
fof(f10646,plain,
( sK2 = sum(pred(sum(n4,succ(n5))),sum(n5,pred(n9)))
| ~ spl3_5
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10645,f135]) ).
fof(f135,plain,
n9 = sum(n4,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f10645,plain,
( sK2 = sum(pred(sum(n4,succ(n5))),sum(n5,pred(sum(n4,n5))))
| ~ spl3_5
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10628,f850]) ).
fof(f10628,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f489,f740]) ).
fof(f10627,plain,
( ~ spl3_6
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f10626]) ).
fof(f10626,plain,
( $false
| ~ spl3_6
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f10625,f493]) ).
fof(f10625,plain,
( n3 = sK2
| ~ spl3_6
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10624,f270]) ).
fof(f10624,plain,
( sum(n10,n14) = sK2
| ~ spl3_6
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10623,f36]) ).
fof(f10623,plain,
( sK2 = sum(pred(n11),n14)
| ~ spl3_6
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10622,f157]) ).
fof(f10622,plain,
( sK2 = sum(pred(sum(n5,n6)),n14)
| ~ spl3_6
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10621,f9]) ).
fof(f10621,plain,
( sK2 = sum(pred(sum(n5,succ(n5))),n14)
| ~ spl3_6
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10620,f160]) ).
fof(f10620,plain,
( sK2 = sum(pred(sum(n5,succ(n5))),sum(n5,n9))
| ~ spl3_6
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10619,f35]) ).
fof(f10619,plain,
( sK2 = sum(pred(sum(n5,succ(n5))),sum(n5,pred(n10)))
| ~ spl3_6
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10618,f156]) ).
fof(f10618,plain,
( sK2 = sum(pred(sum(n5,succ(n5))),sum(n5,pred(sum(n5,n5))))
| ~ spl3_6
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10600,f850]) ).
fof(f10600,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f489,f744]) ).
fof(f10599,plain,
( ~ spl3_13
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f10598]) ).
fof(f10598,plain,
( $false
| ~ spl3_13
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f10597,f507]) ).
fof(f10597,plain,
( n17 = sK2
| ~ spl3_13
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10596,f403]) ).
fof(f403,plain,
n17 = sum(n17,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f10596,plain,
( sum(n17,n0) = sK2
| ~ spl3_13
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10595,f43]) ).
fof(f10595,plain,
( sK2 = sum(pred(n18),n0)
| ~ spl3_13
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10594,f304]) ).
fof(f10594,plain,
( sK2 = sum(pred(sum(n12,n6)),n0)
| ~ spl3_13
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10593,f9]) ).
fof(f10593,plain,
( sK2 = sum(pred(sum(n12,succ(n5))),n0)
| ~ spl3_13
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10592,f167]) ).
fof(f10592,plain,
( sK2 = sum(pred(sum(n12,succ(n5))),sum(n5,n16))
| ~ spl3_13
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10591,f42]) ).
fof(f10591,plain,
( sK2 = sum(pred(sum(n12,succ(n5))),sum(n5,pred(n17)))
| ~ spl3_13
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10590,f303]) ).
fof(f303,plain,
n17 = sum(n12,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f10590,plain,
( sK2 = sum(pred(sum(n12,succ(n5))),sum(n5,pred(sum(n12,n5))))
| ~ spl3_13
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10571,f850]) ).
fof(f10571,plain,
( sK2 = sum(pred(sum(n12,succ(sK1))),sum(sK1,pred(sum(n12,sK1))))
| ~ spl3_13 ),
inference(superposition,[],[f489,f772]) ).
fof(f10570,plain,
( ~ spl3_1
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f10569]) ).
fof(f10569,plain,
( $false
| ~ spl3_1
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f10568,f504]) ).
fof(f10568,plain,
( n14 = sK2
| ~ spl3_1
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10567,f160]) ).
fof(f10567,plain,
( sum(n5,n9) = sK2
| ~ spl3_1
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10566,f31]) ).
fof(f10566,plain,
( sK2 = sum(pred(n6),n9)
| ~ spl3_1
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10565,f52]) ).
fof(f10565,plain,
( sK2 = sum(pred(sum(n0,n6)),n9)
| ~ spl3_1
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10564,f9]) ).
fof(f10564,plain,
( sK2 = sum(pred(sum(n0,succ(n5))),n9)
| ~ spl3_1
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10563,f155]) ).
fof(f10563,plain,
( sK2 = sum(pred(sum(n0,succ(n5))),sum(n5,n4))
| ~ spl3_1
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10562,f30]) ).
fof(f10562,plain,
( sK2 = sum(pred(sum(n0,succ(n5))),sum(n5,pred(n5)))
| ~ spl3_1
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10561,f51]) ).
fof(f51,plain,
n5 = sum(n0,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f10561,plain,
( sK2 = sum(pred(sum(n0,succ(n5))),sum(n5,pred(sum(n0,n5))))
| ~ spl3_1
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10545,f850]) ).
fof(f10545,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f489,f724]) ).
fof(f10544,plain,
( ~ spl3_11
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f10543]) ).
fof(f10543,plain,
( $false
| ~ spl3_11
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f10542,f503]) ).
fof(f10542,plain,
( n13 = sK2
| ~ spl3_11
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10541,f380]) ).
fof(f380,plain,
n13 = sum(n15,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f10541,plain,
( sum(n15,n19) = sK2
| ~ spl3_11
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10540,f41]) ).
fof(f10540,plain,
( sK2 = sum(pred(n16),n19)
| ~ spl3_11
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10539,f262]) ).
fof(f10539,plain,
( sK2 = sum(pred(sum(n10,n6)),n19)
| ~ spl3_11
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10538,f9]) ).
fof(f10538,plain,
( sK2 = sum(pred(sum(n10,succ(n5))),n19)
| ~ spl3_11
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10537,f165]) ).
fof(f10537,plain,
( sK2 = sum(pred(sum(n10,succ(n5))),sum(n5,n14))
| ~ spl3_11
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10536,f40]) ).
fof(f10536,plain,
( sK2 = sum(pred(sum(n10,succ(n5))),sum(n5,pred(n15)))
| ~ spl3_11
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10535,f261]) ).
fof(f261,plain,
n15 = sum(n10,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f10535,plain,
( sK2 = sum(pred(sum(n10,succ(n5))),sum(n5,pred(sum(n10,n5))))
| ~ spl3_11
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10518,f850]) ).
fof(f10518,plain,
( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
| ~ spl3_11 ),
inference(superposition,[],[f489,f764]) ).
fof(f10517,plain,
( ~ spl3_12
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f10516]) ).
fof(f10516,plain,
( $false
| ~ spl3_12
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f10515,f505]) ).
fof(f10515,plain,
( n15 = sK2
| ~ spl3_12
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10514,f402]) ).
fof(f10514,plain,
( sum(n16,n20) = sK2
| ~ spl3_12
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10513,f42]) ).
fof(f10513,plain,
( sK2 = sum(pred(n17),n20)
| ~ spl3_12
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10512,f283]) ).
fof(f10512,plain,
( sK2 = sum(pred(sum(n11,n6)),n20)
| ~ spl3_12
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10511,f9]) ).
fof(f10511,plain,
( sK2 = sum(pred(sum(n11,succ(n5))),n20)
| ~ spl3_12
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10510,f166]) ).
fof(f10510,plain,
( sK2 = sum(pred(sum(n11,succ(n5))),sum(n5,n15))
| ~ spl3_12
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10509,f41]) ).
fof(f10509,plain,
( sK2 = sum(pred(sum(n11,succ(n5))),sum(n5,pred(n16)))
| ~ spl3_12
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10508,f282]) ).
fof(f282,plain,
n16 = sum(n11,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f10508,plain,
( sK2 = sum(pred(sum(n11,succ(n5))),sum(n5,pred(sum(n11,n5))))
| ~ spl3_12
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10490,f850]) ).
fof(f10490,plain,
( sK2 = sum(pred(sum(n11,succ(sK1))),sum(sK1,pred(sum(n11,sK1))))
| ~ spl3_12 ),
inference(superposition,[],[f489,f768]) ).
fof(f10488,plain,
( ~ spl3_4
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f10487]) ).
fof(f10487,plain,
( $false
| ~ spl3_4
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f10486,f510]) ).
fof(f10486,plain,
( n20 = sK2
| ~ spl3_4
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10485,f226]) ).
fof(f10485,plain,
( sum(n8,n12) = sK2
| ~ spl3_4
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10484,f34]) ).
fof(f10484,plain,
( sK2 = sum(pred(n9),n12)
| ~ spl3_4
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10483,f115]) ).
fof(f10483,plain,
( sK2 = sum(pred(sum(n3,n6)),n12)
| ~ spl3_4
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10482,f9]) ).
fof(f10482,plain,
( sK2 = sum(pred(sum(n3,succ(n5))),n12)
| ~ spl3_4
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10481,f158]) ).
fof(f10481,plain,
( sK2 = sum(pred(sum(n3,succ(n5))),sum(n5,n7))
| ~ spl3_4
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10480,f33]) ).
fof(f10480,plain,
( sK2 = sum(pred(sum(n3,succ(n5))),sum(n5,pred(n8)))
| ~ spl3_4
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10479,f114]) ).
fof(f10479,plain,
( sK2 = sum(pred(sum(n3,succ(n5))),sum(n5,pred(sum(n3,n5))))
| ~ spl3_4
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10461,f736]) ).
fof(f10461,plain,
( sK2 = sum(pred(sum(sK0,succ(n5))),sum(n5,pred(sum(sK0,n5))))
| ~ spl3_27 ),
inference(superposition,[],[f489,f850]) ).
fof(f10439,plain,
( ~ spl3_8
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f10438]) ).
fof(f10438,plain,
( $false
| ~ spl3_8
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f10437,f494]) ).
fof(f10437,plain,
( n4 = sK2
| ~ spl3_8
| ~ spl3_40 ),
inference(forward_demodulation,[],[f10436,f130]) ).
fof(f130,plain,
n4 = sum(n4,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f10436,plain,
( sum(n4,n0) = sK2
| ~ spl3_8
| ~ spl3_40 ),
inference(forward_demodulation,[],[f10435,f30]) ).
fof(f10435,plain,
( sK2 = sum(pred(n5),n0)
| ~ spl3_8
| ~ spl3_40 ),
inference(forward_demodulation,[],[f10434,f212]) ).
fof(f212,plain,
n5 = sum(n7,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f10434,plain,
( sK2 = sum(pred(sum(n7,n19)),n0)
| ~ spl3_8
| ~ spl3_40 ),
inference(forward_demodulation,[],[f10433,f22]) ).
fof(f10433,plain,
( sK2 = sum(pred(sum(n7,succ(n18))),n0)
| ~ spl3_8
| ~ spl3_40 ),
inference(forward_demodulation,[],[f10432,f427]) ).
fof(f10432,plain,
( sK2 = sum(pred(sum(n7,succ(n18))),sum(n18,n3))
| ~ spl3_8
| ~ spl3_40 ),
inference(forward_demodulation,[],[f10431,f29]) ).
fof(f10431,plain,
( sK2 = sum(pred(sum(n7,succ(n18))),sum(n18,pred(n4)))
| ~ spl3_8
| ~ spl3_40 ),
inference(forward_demodulation,[],[f10430,f211]) ).
fof(f10430,plain,
( sK2 = sum(pred(sum(n7,succ(n18))),sum(n18,pred(sum(n7,n18))))
| ~ spl3_8
| ~ spl3_40 ),
inference(forward_demodulation,[],[f10411,f752]) ).
fof(f752,plain,
( n7 = sK0
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f750,plain,
( spl3_8
<=> n7 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f10411,plain,
( sK2 = sum(pred(sum(sK0,succ(n18))),sum(n18,pred(sum(sK0,n18))))
| ~ spl3_40 ),
inference(superposition,[],[f489,f902]) ).
fof(f10410,plain,
( ~ spl3_8
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f10409]) ).
fof(f10409,plain,
( $false
| ~ spl3_8
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f10408,f491]) ).
fof(f10408,plain,
( n1 = sK2
| ~ spl3_8
| ~ spl3_32 ),
inference(forward_demodulation,[],[f10407,f408]) ).
fof(f408,plain,
n1 = sum(n17,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f10407,plain,
( sum(n17,n5) = sK2
| ~ spl3_8
| ~ spl3_32 ),
inference(forward_demodulation,[],[f10406,f43]) ).
fof(f10406,plain,
( sK2 = sum(pred(n18),n5)
| ~ spl3_8
| ~ spl3_32 ),
inference(forward_demodulation,[],[f10405,f204]) ).
fof(f10405,plain,
( sK2 = sum(pred(sum(n7,n11)),n5)
| ~ spl3_8
| ~ spl3_32 ),
inference(forward_demodulation,[],[f10404,f14]) ).
fof(f10404,plain,
( sK2 = sum(pred(sum(n7,succ(n10))),n5)
| ~ spl3_8
| ~ spl3_32 ),
inference(forward_demodulation,[],[f10403,f272]) ).
fof(f10403,plain,
( sK2 = sum(pred(sum(n7,succ(n10))),sum(n10,n16))
| ~ spl3_8
| ~ spl3_32 ),
inference(forward_demodulation,[],[f10402,f42]) ).
fof(f10402,plain,
( sK2 = sum(pred(sum(n7,succ(n10))),sum(n10,pred(n17)))
| ~ spl3_8
| ~ spl3_32 ),
inference(forward_demodulation,[],[f10401,f203]) ).
fof(f10401,plain,
( sK2 = sum(pred(sum(n7,succ(n10))),sum(n10,pred(sum(n7,n10))))
| ~ spl3_8
| ~ spl3_32 ),
inference(forward_demodulation,[],[f10386,f752]) ).
fof(f10386,plain,
( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
| ~ spl3_32 ),
inference(superposition,[],[f489,f870]) ).
fof(f10385,plain,
( ~ spl3_8
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f10384]) ).
fof(f10384,plain,
( $false
| ~ spl3_8
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f10383,f500]) ).
fof(f10383,plain,
( n10 = sK2
| ~ spl3_8
| ~ spl3_28 ),
inference(forward_demodulation,[],[f10382,f337]) ).
fof(f337,plain,
n10 = sum(n13,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f10382,plain,
( sum(n13,n18) = sK2
| ~ spl3_8
| ~ spl3_28 ),
inference(forward_demodulation,[],[f10381,f39]) ).
fof(f10381,plain,
( sK2 = sum(pred(n14),n18)
| ~ spl3_8
| ~ spl3_28 ),
inference(forward_demodulation,[],[f10380,f200]) ).
fof(f200,plain,
n14 = sum(n7,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f10380,plain,
( sK2 = sum(pred(sum(n7,n7)),n18)
| ~ spl3_8
| ~ spl3_28 ),
inference(forward_demodulation,[],[f10379,f10]) ).
fof(f10379,plain,
( sK2 = sum(pred(sum(n7,succ(n6))),n18)
| ~ spl3_8
| ~ spl3_28 ),
inference(forward_demodulation,[],[f10378,f184]) ).
fof(f184,plain,
n18 = sum(n6,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f10378,plain,
( sK2 = sum(pred(sum(n7,succ(n6))),sum(n6,n12))
| ~ spl3_8
| ~ spl3_28 ),
inference(forward_demodulation,[],[f10377,f38]) ).
fof(f10377,plain,
( sK2 = sum(pred(sum(n7,succ(n6))),sum(n6,pred(n13)))
| ~ spl3_8
| ~ spl3_28 ),
inference(forward_demodulation,[],[f10376,f199]) ).
fof(f10376,plain,
( sK2 = sum(pred(sum(n7,succ(n6))),sum(n6,pred(sum(n7,n6))))
| ~ spl3_8
| ~ spl3_28 ),
inference(forward_demodulation,[],[f10361,f752]) ).
fof(f10361,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_28 ),
inference(superposition,[],[f489,f854]) ).
fof(f10360,plain,
( ~ spl3_8
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f10359]) ).
fof(f10359,plain,
( $false
| ~ spl3_8
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f10358,f506]) ).
fof(f10358,plain,
( n16 = sK2
| ~ spl3_8
| ~ spl3_23 ),
inference(forward_demodulation,[],[f10357,f222]) ).
fof(f10357,plain,
( sum(n8,n8) = sK2
| ~ spl3_8
| ~ spl3_23 ),
inference(forward_demodulation,[],[f10356,f34]) ).
fof(f10356,plain,
( sK2 = sum(pred(n9),n8)
| ~ spl3_8
| ~ spl3_23 ),
inference(forward_demodulation,[],[f10355,f195]) ).
fof(f195,plain,
n9 = sum(n7,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f10355,plain,
( sK2 = sum(pred(sum(n7,n2)),n8)
| ~ spl3_8
| ~ spl3_23 ),
inference(forward_demodulation,[],[f10354,f5]) ).
fof(f10354,plain,
( sK2 = sum(pred(sum(n7,succ(n1))),n8)
| ~ spl3_8
| ~ spl3_23 ),
inference(forward_demodulation,[],[f10353,f74]) ).
fof(f74,plain,
n8 = sum(n1,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f10353,plain,
( sK2 = sum(pred(sum(n7,succ(n1))),sum(n1,n7))
| ~ spl3_8
| ~ spl3_23 ),
inference(forward_demodulation,[],[f10352,f33]) ).
fof(f10352,plain,
( sK2 = sum(pred(sum(n7,succ(n1))),sum(n1,pred(n8)))
| ~ spl3_8
| ~ spl3_23 ),
inference(forward_demodulation,[],[f10351,f194]) ).
fof(f10351,plain,
( sK2 = sum(pred(sum(n7,succ(n1))),sum(n1,pred(sum(n7,n1))))
| ~ spl3_8
| ~ spl3_23 ),
inference(forward_demodulation,[],[f10336,f752]) ).
fof(f10336,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_23 ),
inference(superposition,[],[f489,f834]) ).
fof(f10335,plain,
( ~ spl3_8
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f10334]) ).
fof(f10334,plain,
( $false
| ~ spl3_8
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f10333,f497]) ).
fof(f10333,plain,
( n7 = sK2
| ~ spl3_8
| ~ spl3_34 ),
inference(forward_demodulation,[],[f10332,f454]) ).
fof(f454,plain,
n7 = sum(n19,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f10332,plain,
( sum(n19,n9) = sK2
| ~ spl3_8
| ~ spl3_34 ),
inference(forward_demodulation,[],[f10331,f45]) ).
fof(f10331,plain,
( sK2 = sum(pred(n20),n9)
| ~ spl3_8
| ~ spl3_34 ),
inference(forward_demodulation,[],[f10330,f206]) ).
fof(f10330,plain,
( sK2 = sum(pred(sum(n7,n13)),n9)
| ~ spl3_8
| ~ spl3_34 ),
inference(forward_demodulation,[],[f10329,f16]) ).
fof(f10329,plain,
( sK2 = sum(pred(sum(n7,succ(n12))),n9)
| ~ spl3_8
| ~ spl3_34 ),
inference(forward_demodulation,[],[f10328,f316]) ).
fof(f10328,plain,
( sK2 = sum(pred(sum(n7,succ(n12))),sum(n12,n18))
| ~ spl3_8
| ~ spl3_34 ),
inference(forward_demodulation,[],[f10327,f44]) ).
fof(f10327,plain,
( sK2 = sum(pred(sum(n7,succ(n12))),sum(n12,pred(n19)))
| ~ spl3_8
| ~ spl3_34 ),
inference(forward_demodulation,[],[f10326,f205]) ).
fof(f205,plain,
n19 = sum(n7,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f10326,plain,
( sK2 = sum(pred(sum(n7,succ(n12))),sum(n12,pred(sum(n7,n12))))
| ~ spl3_8
| ~ spl3_34 ),
inference(forward_demodulation,[],[f10310,f752]) ).
fof(f10310,plain,
( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
| ~ spl3_34 ),
inference(superposition,[],[f489,f878]) ).
fof(f10309,plain,
( ~ spl3_8
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f10308]) ).
fof(f10308,plain,
( $false
| ~ spl3_8
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f10307,f497]) ).
fof(f10307,plain,
( n7 = sK2
| ~ spl3_8
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10306,f314]) ).
fof(f10306,plain,
( sum(n12,n16) = sK2
| ~ spl3_8
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10305,f38]) ).
fof(f10305,plain,
( sK2 = sum(pred(n13),n16)
| ~ spl3_8
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10304,f199]) ).
fof(f10304,plain,
( sK2 = sum(pred(sum(n7,n6)),n16)
| ~ spl3_8
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10303,f9]) ).
fof(f10303,plain,
( sK2 = sum(pred(sum(n7,succ(n5))),n16)
| ~ spl3_8
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10302,f162]) ).
fof(f10302,plain,
( sK2 = sum(pred(sum(n7,succ(n5))),sum(n5,n11))
| ~ spl3_8
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10301,f37]) ).
fof(f10301,plain,
( sK2 = sum(pred(sum(n7,succ(n5))),sum(n5,pred(n12)))
| ~ spl3_8
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10300,f198]) ).
fof(f198,plain,
n12 = sum(n7,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f10300,plain,
( sK2 = sum(pred(sum(n7,succ(n5))),sum(n5,pred(sum(n7,n5))))
| ~ spl3_8
| ~ spl3_27 ),
inference(forward_demodulation,[],[f10284,f752]) ).
fof(f10284,plain,
( sK2 = sum(pred(sum(sK0,succ(n5))),sum(n5,pred(sum(sK0,n5))))
| ~ spl3_27 ),
inference(superposition,[],[f489,f850]) ).
fof(f10283,plain,
( ~ spl3_8
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f10282]) ).
fof(f10282,plain,
( $false
| ~ spl3_8
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f10281,f491]) ).
fof(f10281,plain,
( n1 = sK2
| ~ spl3_8
| ~ spl3_25 ),
inference(forward_demodulation,[],[f10280,f268]) ).
fof(f10280,plain,
( sum(n10,n12) = sK2
| ~ spl3_8
| ~ spl3_25 ),
inference(forward_demodulation,[],[f10279,f36]) ).
fof(f10279,plain,
( sK2 = sum(pred(n11),n12)
| ~ spl3_8
| ~ spl3_25 ),
inference(forward_demodulation,[],[f10278,f197]) ).
fof(f197,plain,
n11 = sum(n7,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f10278,plain,
( sK2 = sum(pred(sum(n7,n4)),n12)
| ~ spl3_8
| ~ spl3_25 ),
inference(forward_demodulation,[],[f10277,f7]) ).
fof(f10277,plain,
( sK2 = sum(pred(sum(n7,succ(n3))),n12)
| ~ spl3_8
| ~ spl3_25 ),
inference(forward_demodulation,[],[f10276,f118]) ).
fof(f10276,plain,
( sK2 = sum(pred(sum(n7,succ(n3))),sum(n3,n9))
| ~ spl3_8
| ~ spl3_25 ),
inference(forward_demodulation,[],[f10275,f35]) ).
fof(f10275,plain,
( sK2 = sum(pred(sum(n7,succ(n3))),sum(n3,pred(n10)))
| ~ spl3_8
| ~ spl3_25 ),
inference(forward_demodulation,[],[f10274,f196]) ).
fof(f10274,plain,
( sK2 = sum(pred(sum(n7,succ(n3))),sum(n3,pred(sum(n7,n3))))
| ~ spl3_8
| ~ spl3_25 ),
inference(forward_demodulation,[],[f10258,f752]) ).
fof(f10258,plain,
( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
| ~ spl3_25 ),
inference(superposition,[],[f489,f842]) ).
fof(f10257,plain,
( ~ spl3_8
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f10256]) ).
fof(f10256,plain,
( $false
| ~ spl3_8
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f10255,f503]) ).
fof(f10255,plain,
( n13 = sK2
| ~ spl3_8
| ~ spl3_36 ),
inference(forward_demodulation,[],[f10254,f59]) ).
fof(f10254,plain,
( sum(n0,n13) = sK2
| ~ spl3_8
| ~ spl3_36 ),
inference(forward_demodulation,[],[f10253,f26]) ).
fof(f10253,plain,
( sK2 = sum(pred(n1),n13)
| ~ spl3_8
| ~ spl3_36 ),
inference(forward_demodulation,[],[f10252,f208]) ).
fof(f10252,plain,
( sK2 = sum(pred(sum(n7,n15)),n13)
| ~ spl3_8
| ~ spl3_36 ),
inference(forward_demodulation,[],[f10251,f18]) ).
fof(f10251,plain,
( sK2 = sum(pred(sum(n7,succ(n14))),n13)
| ~ spl3_8
| ~ spl3_36 ),
inference(forward_demodulation,[],[f10250,f360]) ).
fof(f360,plain,
n13 = sum(n14,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f10250,plain,
( sK2 = sum(pred(sum(n7,succ(n14))),sum(n14,n20))
| ~ spl3_8
| ~ spl3_36 ),
inference(forward_demodulation,[],[f10249,f25]) ).
fof(f10249,plain,
( sK2 = sum(pred(sum(n7,succ(n14))),sum(n14,pred(n0)))
| ~ spl3_8
| ~ spl3_36 ),
inference(forward_demodulation,[],[f10248,f207]) ).
fof(f10248,plain,
( sK2 = sum(pred(sum(n7,succ(n14))),sum(n14,pred(sum(n7,n14))))
| ~ spl3_8
| ~ spl3_36 ),
inference(forward_demodulation,[],[f10231,f752]) ).
fof(f10231,plain,
( sK2 = sum(pred(sum(sK0,succ(n14))),sum(n14,pred(sum(sK0,n14))))
| ~ spl3_36 ),
inference(superposition,[],[f489,f886]) ).
fof(f10230,plain,
( ~ spl3_8
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f10229]) ).
fof(f10229,plain,
( $false
| ~ spl3_8
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f10228,f506]) ).
fof(f10228,plain,
( n16 = sK2
| ~ spl3_8
| ~ spl3_30 ),
inference(forward_demodulation,[],[f10227,f362]) ).
fof(f362,plain,
n16 = sum(n15,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f10227,plain,
( sum(n15,n1) = sK2
| ~ spl3_8
| ~ spl3_30 ),
inference(forward_demodulation,[],[f10226,f41]) ).
fof(f10226,plain,
( sK2 = sum(pred(n16),n1)
| ~ spl3_8
| ~ spl3_30 ),
inference(forward_demodulation,[],[f10225,f202]) ).
fof(f10225,plain,
( sK2 = sum(pred(sum(n7,n9)),n1)
| ~ spl3_8
| ~ spl3_30 ),
inference(forward_demodulation,[],[f10224,f12]) ).
fof(f10224,plain,
( sK2 = sum(pred(sum(n7,succ(n8))),n1)
| ~ spl3_8
| ~ spl3_30 ),
inference(forward_demodulation,[],[f10223,f228]) ).
fof(f10223,plain,
( sK2 = sum(pred(sum(n7,succ(n8))),sum(n8,n14))
| ~ spl3_8
| ~ spl3_30 ),
inference(forward_demodulation,[],[f10222,f40]) ).
fof(f10222,plain,
( sK2 = sum(pred(sum(n7,succ(n8))),sum(n8,pred(n15)))
| ~ spl3_8
| ~ spl3_30 ),
inference(forward_demodulation,[],[f10221,f201]) ).
fof(f10221,plain,
( sK2 = sum(pred(sum(n7,succ(n8))),sum(n8,pred(sum(n7,n8))))
| ~ spl3_8
| ~ spl3_30 ),
inference(forward_demodulation,[],[f10204,f752]) ).
fof(f10204,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_30 ),
inference(superposition,[],[f489,f862]) ).
fof(f10203,plain,
( ~ spl3_8
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f10202]) ).
fof(f10202,plain,
( $false
| ~ spl3_8
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f10201,f509]) ).
fof(f10201,plain,
( n19 = sK2
| ~ spl3_8
| ~ spl3_38 ),
inference(forward_demodulation,[],[f10200,f105]) ).
fof(f10200,plain,
( sum(n2,n17) = sK2
| ~ spl3_8
| ~ spl3_38 ),
inference(forward_demodulation,[],[f10199,f28]) ).
fof(f10199,plain,
( sK2 = sum(pred(n3),n17)
| ~ spl3_8
| ~ spl3_38 ),
inference(forward_demodulation,[],[f10198,f210]) ).
fof(f10198,plain,
( sK2 = sum(pred(sum(n7,n17)),n17)
| ~ spl3_8
| ~ spl3_38 ),
inference(forward_demodulation,[],[f10197,f20]) ).
fof(f10197,plain,
( sK2 = sum(pred(sum(n7,succ(n16))),n17)
| ~ spl3_8
| ~ spl3_38 ),
inference(forward_demodulation,[],[f10196,f383]) ).
fof(f10196,plain,
( sK2 = sum(pred(sum(n7,succ(n16))),sum(n16,n1))
| ~ spl3_8
| ~ spl3_38 ),
inference(forward_demodulation,[],[f10195,f27]) ).
fof(f10195,plain,
( sK2 = sum(pred(sum(n7,succ(n16))),sum(n16,pred(n2)))
| ~ spl3_8
| ~ spl3_38 ),
inference(forward_demodulation,[],[f10194,f209]) ).
fof(f10194,plain,
( sK2 = sum(pred(sum(n7,succ(n16))),sum(n16,pred(sum(n7,n16))))
| ~ spl3_8
| ~ spl3_38 ),
inference(forward_demodulation,[],[f10176,f752]) ).
fof(f10176,plain,
( sK2 = sum(pred(sum(sK0,succ(n16))),sum(n16,pred(sum(sK0,n16))))
| ~ spl3_38 ),
inference(superposition,[],[f489,f894]) ).
fof(f10175,plain,
( ~ spl3_8
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f10174]) ).
fof(f10174,plain,
( $false
| ~ spl3_8
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f10173,f503]) ).
fof(f10173,plain,
( n13 = sK2
| ~ spl3_8
| ~ spl3_29 ),
inference(forward_demodulation,[],[f10172,f360]) ).
fof(f10172,plain,
( sum(n14,n20) = sK2
| ~ spl3_8
| ~ spl3_29 ),
inference(forward_demodulation,[],[f10171,f40]) ).
fof(f10171,plain,
( sK2 = sum(pred(n15),n20)
| ~ spl3_8
| ~ spl3_29 ),
inference(forward_demodulation,[],[f10170,f201]) ).
fof(f10170,plain,
( sK2 = sum(pred(sum(n7,n8)),n20)
| ~ spl3_8
| ~ spl3_29 ),
inference(forward_demodulation,[],[f10169,f11]) ).
fof(f10169,plain,
( sK2 = sum(pred(sum(n7,succ(n7))),n20)
| ~ spl3_8
| ~ spl3_29 ),
inference(forward_demodulation,[],[f10168,f206]) ).
fof(f10168,plain,
( sK2 = sum(pred(sum(n7,succ(n7))),sum(n7,n13))
| ~ spl3_8
| ~ spl3_29 ),
inference(forward_demodulation,[],[f10167,f39]) ).
fof(f10167,plain,
( sK2 = sum(pred(sum(n7,succ(n7))),sum(n7,pred(n14)))
| ~ spl3_8
| ~ spl3_29 ),
inference(forward_demodulation,[],[f10166,f200]) ).
fof(f10166,plain,
( sK2 = sum(pred(sum(n7,succ(n7))),sum(n7,pred(sum(n7,n7))))
| ~ spl3_8
| ~ spl3_29 ),
inference(forward_demodulation,[],[f10149,f752]) ).
fof(f10149,plain,
( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
| ~ spl3_29 ),
inference(superposition,[],[f489,f858]) ).
fof(f10127,plain,
( ~ spl3_9
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f10126]) ).
fof(f10126,plain,
( $false
| ~ spl3_9
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f10125,f496]) ).
fof(f10125,plain,
( n6 = sK2
| ~ spl3_9
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10124,f313]) ).
fof(f10124,plain,
( sum(n12,n15) = sK2
| ~ spl3_9
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10123,f38]) ).
fof(f10123,plain,
( sK2 = sum(pred(n13),n15)
| ~ spl3_9
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10122,f219]) ).
fof(f10122,plain,
( sK2 = sum(pred(sum(n8,n5)),n15)
| ~ spl3_9
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10121,f8]) ).
fof(f8,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f3]) ).
fof(f10121,plain,
( sK2 = sum(pred(sum(n8,succ(n4))),n15)
| ~ spl3_9
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10120,f141]) ).
fof(f10120,plain,
( sK2 = sum(pred(sum(n8,succ(n4))),sum(n4,n11))
| ~ spl3_9
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10119,f37]) ).
fof(f10119,plain,
( sK2 = sum(pred(sum(n8,succ(n4))),sum(n4,pred(n12)))
| ~ spl3_9
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10118,f218]) ).
fof(f10118,plain,
( sK2 = sum(pred(sum(n8,succ(n4))),sum(n4,pred(sum(n8,n4))))
| ~ spl3_9
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10101,f846]) ).
fof(f846,plain,
( n4 = sK1
| ~ spl3_26 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f844,plain,
( spl3_26
<=> n4 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).
fof(f10101,plain,
( sK2 = sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1))))
| ~ spl3_9 ),
inference(superposition,[],[f489,f756]) ).
fof(f10100,plain,
( ~ spl3_11
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f10099]) ).
fof(f10099,plain,
( $false
| ~ spl3_11
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f10098,f500]) ).
fof(f10098,plain,
( n10 = sK2
| ~ spl3_11
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10097,f357]) ).
fof(f10097,plain,
( sum(n14,n17) = sK2
| ~ spl3_11
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10096,f40]) ).
fof(f10096,plain,
( sK2 = sum(pred(n15),n17)
| ~ spl3_11
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10095,f261]) ).
fof(f10095,plain,
( sK2 = sum(pred(sum(n10,n5)),n17)
| ~ spl3_11
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10094,f8]) ).
fof(f10094,plain,
( sK2 = sum(pred(sum(n10,succ(n4))),n17)
| ~ spl3_11
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10093,f143]) ).
fof(f10093,plain,
( sK2 = sum(pred(sum(n10,succ(n4))),sum(n4,n13))
| ~ spl3_11
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10092,f39]) ).
fof(f10092,plain,
( sK2 = sum(pred(sum(n10,succ(n4))),sum(n4,pred(n14)))
| ~ spl3_11
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10091,f260]) ).
fof(f10091,plain,
( sK2 = sum(pred(sum(n10,succ(n4))),sum(n4,pred(sum(n10,n4))))
| ~ spl3_11
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10073,f846]) ).
fof(f10073,plain,
( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
| ~ spl3_11 ),
inference(superposition,[],[f489,f764]) ).
fof(f10072,plain,
( ~ spl3_4
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f10071]) ).
fof(f10071,plain,
( $false
| ~ spl3_4
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f10070,f507]) ).
fof(f10070,plain,
( n17 = sK2
| ~ spl3_4
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10069,f203]) ).
fof(f10069,plain,
( sum(n7,n10) = sK2
| ~ spl3_4
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10068,f33]) ).
fof(f10068,plain,
( sK2 = sum(pred(n8),n10)
| ~ spl3_4
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10067,f114]) ).
fof(f10067,plain,
( sK2 = sum(pred(sum(n3,n5)),n10)
| ~ spl3_4
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10066,f8]) ).
fof(f10066,plain,
( sK2 = sum(pred(sum(n3,succ(n4))),n10)
| ~ spl3_4
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10065,f136]) ).
fof(f10065,plain,
( sK2 = sum(pred(sum(n3,succ(n4))),sum(n4,n6))
| ~ spl3_4
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10064,f32]) ).
fof(f10064,plain,
( sK2 = sum(pred(sum(n3,succ(n4))),sum(n4,pred(n7)))
| ~ spl3_4
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10063,f113]) ).
fof(f10063,plain,
( sK2 = sum(pred(sum(n3,succ(n4))),sum(n4,pred(sum(n3,n4))))
| ~ spl3_4
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10045,f846]) ).
fof(f10045,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f489,f736]) ).
fof(f10044,plain,
( ~ spl3_3
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f10043]) ).
fof(f10043,plain,
( $false
| ~ spl3_3
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f10042,f505]) ).
fof(f10042,plain,
( n15 = sK2
| ~ spl3_3
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10041,f181]) ).
fof(f10041,plain,
( sum(n6,n9) = sK2
| ~ spl3_3
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10040,f32]) ).
fof(f10040,plain,
( sK2 = sum(pred(n7),n9)
| ~ spl3_3
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10039,f93]) ).
fof(f10039,plain,
( sK2 = sum(pred(sum(n2,n5)),n9)
| ~ spl3_3
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10038,f8]) ).
fof(f10038,plain,
( sK2 = sum(pred(sum(n2,succ(n4))),n9)
| ~ spl3_3
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10037,f135]) ).
fof(f10037,plain,
( sK2 = sum(pred(sum(n2,succ(n4))),sum(n4,n5))
| ~ spl3_3
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10036,f31]) ).
fof(f10036,plain,
( sK2 = sum(pred(sum(n2,succ(n4))),sum(n4,pred(n6)))
| ~ spl3_3
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10035,f92]) ).
fof(f10035,plain,
( sK2 = sum(pred(sum(n2,succ(n4))),sum(n4,pred(sum(n2,n4))))
| ~ spl3_3
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10017,f846]) ).
fof(f10017,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f489,f732]) ).
fof(f10016,plain,
( ~ spl3_13
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f10015]) ).
fof(f10015,plain,
( $false
| ~ spl3_13
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f10014,f504]) ).
fof(f10014,plain,
( n14 = sK2
| ~ spl3_13
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10013,f401]) ).
fof(f10013,plain,
( sum(n16,n19) = sK2
| ~ spl3_13
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10012,f42]) ).
fof(f10012,plain,
( sK2 = sum(pred(n17),n19)
| ~ spl3_13
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10011,f303]) ).
fof(f10011,plain,
( sK2 = sum(pred(sum(n12,n5)),n19)
| ~ spl3_13
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10010,f8]) ).
fof(f10010,plain,
( sK2 = sum(pred(sum(n12,succ(n4))),n19)
| ~ spl3_13
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10009,f145]) ).
fof(f10009,plain,
( sK2 = sum(pred(sum(n12,succ(n4))),sum(n4,n15))
| ~ spl3_13
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10008,f41]) ).
fof(f10008,plain,
( sK2 = sum(pred(sum(n12,succ(n4))),sum(n4,pred(n16)))
| ~ spl3_13
| ~ spl3_26 ),
inference(forward_demodulation,[],[f10007,f302]) ).
fof(f10007,plain,
( sK2 = sum(pred(sum(n12,succ(n4))),sum(n4,pred(sum(n12,n4))))
| ~ spl3_13
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9988,f846]) ).
fof(f9988,plain,
( sK2 = sum(pred(sum(n12,succ(sK1))),sum(sK1,pred(sum(n12,sK1))))
| ~ spl3_13 ),
inference(superposition,[],[f489,f772]) ).
fof(f9987,plain,
( ~ spl3_5
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f9986]) ).
fof(f9986,plain,
( $false
| ~ spl3_5
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f9985,f509]) ).
fof(f9985,plain,
( n19 = sK2
| ~ spl3_5
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9984,f225]) ).
fof(f9984,plain,
( sum(n8,n11) = sK2
| ~ spl3_5
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9983,f34]) ).
fof(f9983,plain,
( sK2 = sum(pred(n9),n11)
| ~ spl3_5
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9982,f135]) ).
fof(f9982,plain,
( sK2 = sum(pred(sum(n4,n5)),n11)
| ~ spl3_5
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9981,f8]) ).
fof(f9981,plain,
( sK2 = sum(pred(sum(n4,succ(n4))),n11)
| ~ spl3_5
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9980,f137]) ).
fof(f9980,plain,
( sK2 = sum(pred(sum(n4,succ(n4))),sum(n4,n7))
| ~ spl3_5
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9979,f33]) ).
fof(f9979,plain,
( sK2 = sum(pred(sum(n4,succ(n4))),sum(n4,pred(n8)))
| ~ spl3_5
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9978,f134]) ).
fof(f9978,plain,
( sK2 = sum(pred(sum(n4,succ(n4))),sum(n4,pred(sum(n4,n4))))
| ~ spl3_5
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9962,f846]) ).
fof(f9962,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f489,f740]) ).
fof(f9961,plain,
( ~ spl3_6
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f9960]) ).
fof(f9960,plain,
( $false
| ~ spl3_6
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f9959,f490]) ).
fof(f9959,plain,
( n0 = sK2
| ~ spl3_6
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9958,f247]) ).
fof(f9958,plain,
( sum(n9,n12) = sK2
| ~ spl3_6
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9957,f35]) ).
fof(f9957,plain,
( sK2 = sum(pred(n10),n12)
| ~ spl3_6
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9956,f156]) ).
fof(f9956,plain,
( sK2 = sum(pred(sum(n5,n5)),n12)
| ~ spl3_6
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9955,f8]) ).
fof(f9955,plain,
( sK2 = sum(pred(sum(n5,succ(n4))),n12)
| ~ spl3_6
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9954,f138]) ).
fof(f9954,plain,
( sK2 = sum(pred(sum(n5,succ(n4))),sum(n4,n8))
| ~ spl3_6
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9953,f34]) ).
fof(f9953,plain,
( sK2 = sum(pred(sum(n5,succ(n4))),sum(n4,pred(n9)))
| ~ spl3_6
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9952,f155]) ).
fof(f9952,plain,
( sK2 = sum(pred(sum(n5,succ(n4))),sum(n4,pred(sum(n5,n4))))
| ~ spl3_6
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9935,f846]) ).
fof(f9935,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f489,f744]) ).
fof(f9934,plain,
( ~ spl3_12
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f9933]) ).
fof(f9933,plain,
( $false
| ~ spl3_12
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f9932,f502]) ).
fof(f9932,plain,
( n12 = sK2
| ~ spl3_12
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9931,f379]) ).
fof(f379,plain,
n12 = sum(n15,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f9931,plain,
( sum(n15,n18) = sK2
| ~ spl3_12
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9930,f41]) ).
fof(f9930,plain,
( sK2 = sum(pred(n16),n18)
| ~ spl3_12
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9929,f282]) ).
fof(f9929,plain,
( sK2 = sum(pred(sum(n11,n5)),n18)
| ~ spl3_12
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9928,f8]) ).
fof(f9928,plain,
( sK2 = sum(pred(sum(n11,succ(n4))),n18)
| ~ spl3_12
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9927,f144]) ).
fof(f9927,plain,
( sK2 = sum(pred(sum(n11,succ(n4))),sum(n4,n14))
| ~ spl3_12
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9926,f40]) ).
fof(f9926,plain,
( sK2 = sum(pred(sum(n11,succ(n4))),sum(n4,pred(n15)))
| ~ spl3_12
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9925,f281]) ).
fof(f9925,plain,
( sK2 = sum(pred(sum(n11,succ(n4))),sum(n4,pred(sum(n11,n4))))
| ~ spl3_12
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9907,f846]) ).
fof(f9907,plain,
( sK2 = sum(pred(sum(n11,succ(sK1))),sum(sK1,pred(sum(n11,sK1))))
| ~ spl3_12 ),
inference(superposition,[],[f489,f768]) ).
fof(f9906,plain,
( ~ spl3_8
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f9905]) ).
fof(f9905,plain,
( $false
| ~ spl3_8
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f9904,f494]) ).
fof(f9904,plain,
( n4 = sK2
| ~ spl3_8
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9903,f291]) ).
fof(f9903,plain,
( sum(n11,n14) = sK2
| ~ spl3_8
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9902,f37]) ).
fof(f9902,plain,
( sK2 = sum(pred(n12),n14)
| ~ spl3_8
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9901,f198]) ).
fof(f9901,plain,
( sK2 = sum(pred(sum(n7,n5)),n14)
| ~ spl3_8
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9900,f8]) ).
fof(f9900,plain,
( sK2 = sum(pred(sum(n7,succ(n4))),n14)
| ~ spl3_8
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9899,f140]) ).
fof(f9899,plain,
( sK2 = sum(pred(sum(n7,succ(n4))),sum(n4,n10))
| ~ spl3_8
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9898,f36]) ).
fof(f9898,plain,
( sK2 = sum(pred(sum(n7,succ(n4))),sum(n4,pred(n11)))
| ~ spl3_8
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9897,f197]) ).
fof(f9897,plain,
( sK2 = sum(pred(sum(n7,succ(n4))),sum(n4,pred(sum(n7,n4))))
| ~ spl3_8
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9881,f846]) ).
fof(f9881,plain,
( sK2 = sum(pred(sum(n7,succ(sK1))),sum(sK1,pred(sum(n7,sK1))))
| ~ spl3_8 ),
inference(superposition,[],[f489,f752]) ).
fof(f9880,plain,
( ~ spl3_1
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f9879]) ).
fof(f9879,plain,
( $false
| ~ spl3_1
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f9878,f501]) ).
fof(f9878,plain,
( n11 = sK2
| ~ spl3_1
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9877,f137]) ).
fof(f9877,plain,
( sum(n4,n7) = sK2
| ~ spl3_1
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9876,f30]) ).
fof(f9876,plain,
( sK2 = sum(pred(n5),n7)
| ~ spl3_1
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9875,f51]) ).
fof(f9875,plain,
( sK2 = sum(pred(sum(n0,n5)),n7)
| ~ spl3_1
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9874,f8]) ).
fof(f9874,plain,
( sK2 = sum(pred(sum(n0,succ(n4))),n7)
| ~ spl3_1
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9873,f133]) ).
fof(f9873,plain,
( sK2 = sum(pred(sum(n0,succ(n4))),sum(n4,n3))
| ~ spl3_1
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9872,f29]) ).
fof(f9872,plain,
( sK2 = sum(pred(sum(n0,succ(n4))),sum(n4,pred(n4)))
| ~ spl3_1
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9871,f50]) ).
fof(f9871,plain,
( sK2 = sum(pred(sum(n0,succ(n4))),sum(n4,pred(sum(n0,n4))))
| ~ spl3_1
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9855,f846]) ).
fof(f9855,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f489,f724]) ).
fof(f9854,plain,
( ~ spl3_10
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f9853]) ).
fof(f9853,plain,
( $false
| ~ spl3_10
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f9852,f498]) ).
fof(f9852,plain,
( n8 = sK2
| ~ spl3_10
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9851,f335]) ).
fof(f335,plain,
n8 = sum(n13,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f9851,plain,
( sum(n13,n16) = sK2
| ~ spl3_10
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9850,f39]) ).
fof(f9850,plain,
( sK2 = sum(pred(n14),n16)
| ~ spl3_10
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9849,f240]) ).
fof(f9849,plain,
( sK2 = sum(pred(sum(n9,n5)),n16)
| ~ spl3_10
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9848,f8]) ).
fof(f9848,plain,
( sK2 = sum(pred(sum(n9,succ(n4))),n16)
| ~ spl3_10
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9847,f142]) ).
fof(f9847,plain,
( sK2 = sum(pred(sum(n9,succ(n4))),sum(n4,n12))
| ~ spl3_10
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9846,f38]) ).
fof(f9846,plain,
( sK2 = sum(pred(sum(n9,succ(n4))),sum(n4,pred(n13)))
| ~ spl3_10
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9845,f239]) ).
fof(f9845,plain,
( sK2 = sum(pred(sum(n9,succ(n4))),sum(n4,pred(sum(n9,n4))))
| ~ spl3_10
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9828,f846]) ).
fof(f9828,plain,
( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
| ~ spl3_10 ),
inference(superposition,[],[f489,f760]) ).
fof(f9826,plain,
( ~ spl3_7
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f9825]) ).
fof(f9825,plain,
( $false
| ~ spl3_7
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f9824,f492]) ).
fof(f9824,plain,
( n2 = sK2
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9823,f269]) ).
fof(f9823,plain,
( sum(n10,n13) = sK2
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9822,f36]) ).
fof(f9822,plain,
( sK2 = sum(pred(n11),n13)
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9821,f177]) ).
fof(f9821,plain,
( sK2 = sum(pred(sum(n6,n5)),n13)
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9820,f8]) ).
fof(f9820,plain,
( sK2 = sum(pred(sum(n6,succ(n4))),n13)
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9819,f139]) ).
fof(f9819,plain,
( sK2 = sum(pred(sum(n6,succ(n4))),sum(n4,n9))
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9818,f35]) ).
fof(f9818,plain,
( sK2 = sum(pred(sum(n6,succ(n4))),sum(n4,pred(n10)))
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9817,f176]) ).
fof(f176,plain,
n10 = sum(n6,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f9817,plain,
( sK2 = sum(pred(sum(n6,succ(n4))),sum(n4,pred(sum(n6,n4))))
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9801,f748]) ).
fof(f748,plain,
( n6 = sK0
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f746,plain,
( spl3_7
<=> n6 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f9801,plain,
( sK2 = sum(pred(sum(sK0,succ(n4))),sum(n4,pred(sum(sK0,n4))))
| ~ spl3_26 ),
inference(superposition,[],[f489,f846]) ).
fof(f9800,plain,
( ~ spl3_7
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f9799]) ).
fof(f9799,plain,
( $false
| ~ spl3_7
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f9798,f498]) ).
fof(f9798,plain,
( n8 = sK2
| ~ spl3_7
| ~ spl3_28 ),
inference(forward_demodulation,[],[f9797,f315]) ).
fof(f9797,plain,
( sum(n12,n17) = sK2
| ~ spl3_7
| ~ spl3_28 ),
inference(forward_demodulation,[],[f9796,f38]) ).
fof(f9796,plain,
( sK2 = sum(pred(n13),n17)
| ~ spl3_7
| ~ spl3_28 ),
inference(forward_demodulation,[],[f9795,f179]) ).
fof(f9795,plain,
( sK2 = sum(pred(sum(n6,n7)),n17)
| ~ spl3_7
| ~ spl3_28 ),
inference(forward_demodulation,[],[f9794,f10]) ).
fof(f9794,plain,
( sK2 = sum(pred(sum(n6,succ(n6))),n17)
| ~ spl3_7
| ~ spl3_28 ),
inference(forward_demodulation,[],[f9793,f183]) ).
fof(f9793,plain,
( sK2 = sum(pred(sum(n6,succ(n6))),sum(n6,n11))
| ~ spl3_7
| ~ spl3_28 ),
inference(forward_demodulation,[],[f9792,f37]) ).
fof(f9792,plain,
( sK2 = sum(pred(sum(n6,succ(n6))),sum(n6,pred(n12)))
| ~ spl3_7
| ~ spl3_28 ),
inference(forward_demodulation,[],[f9791,f178]) ).
fof(f9791,plain,
( sK2 = sum(pred(sum(n6,succ(n6))),sum(n6,pred(sum(n6,n6))))
| ~ spl3_7
| ~ spl3_28 ),
inference(forward_demodulation,[],[f9774,f748]) ).
fof(f9774,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_28 ),
inference(superposition,[],[f489,f854]) ).
fof(f9773,plain,
( ~ spl3_7
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f9772]) ).
fof(f9772,plain,
( $false
| ~ spl3_7
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f9771,f495]) ).
fof(f9771,plain,
( n5 = sK2
| ~ spl3_7
| ~ spl3_27 ),
inference(forward_demodulation,[],[f9770,f292]) ).
fof(f9770,plain,
( sum(n11,n15) = sK2
| ~ spl3_7
| ~ spl3_27 ),
inference(forward_demodulation,[],[f9769,f37]) ).
fof(f9769,plain,
( sK2 = sum(pred(n12),n15)
| ~ spl3_7
| ~ spl3_27 ),
inference(forward_demodulation,[],[f9768,f178]) ).
fof(f9768,plain,
( sK2 = sum(pred(sum(n6,n6)),n15)
| ~ spl3_7
| ~ spl3_27 ),
inference(forward_demodulation,[],[f9767,f9]) ).
fof(f9767,plain,
( sK2 = sum(pred(sum(n6,succ(n5))),n15)
| ~ spl3_7
| ~ spl3_27 ),
inference(forward_demodulation,[],[f9766,f161]) ).
fof(f9766,plain,
( sK2 = sum(pred(sum(n6,succ(n5))),sum(n5,n10))
| ~ spl3_7
| ~ spl3_27 ),
inference(forward_demodulation,[],[f9765,f36]) ).
fof(f9765,plain,
( sK2 = sum(pred(sum(n6,succ(n5))),sum(n5,pred(n11)))
| ~ spl3_7
| ~ spl3_27 ),
inference(forward_demodulation,[],[f9764,f177]) ).
fof(f9764,plain,
( sK2 = sum(pred(sum(n6,succ(n5))),sum(n5,pred(sum(n6,n5))))
| ~ spl3_7
| ~ spl3_27 ),
inference(forward_demodulation,[],[f9747,f748]) ).
fof(f9747,plain,
( sK2 = sum(pred(sum(sK0,succ(n5))),sum(n5,pred(sum(sK0,n5))))
| ~ spl3_27 ),
inference(superposition,[],[f489,f850]) ).
fof(f9746,plain,
( ~ spl3_7
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f9745]) ).
fof(f9745,plain,
( $false
| ~ spl3_7
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f9744,f510]) ).
fof(f9744,plain,
( n20 = sK2
| ~ spl3_7
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9743,f246]) ).
fof(f9743,plain,
( sum(n9,n11) = sK2
| ~ spl3_7
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9742,f35]) ).
fof(f9742,plain,
( sK2 = sum(pred(n10),n11)
| ~ spl3_7
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9741,f176]) ).
fof(f9741,plain,
( sK2 = sum(pred(sum(n6,n4)),n11)
| ~ spl3_7
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9740,f7]) ).
fof(f9740,plain,
( sK2 = sum(pred(sum(n6,succ(n3))),n11)
| ~ spl3_7
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9739,f117]) ).
fof(f9739,plain,
( sK2 = sum(pred(sum(n6,succ(n3))),sum(n3,n8))
| ~ spl3_7
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9738,f34]) ).
fof(f9738,plain,
( sK2 = sum(pred(sum(n6,succ(n3))),sum(n3,pred(n9)))
| ~ spl3_7
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9737,f175]) ).
fof(f175,plain,
n9 = sum(n6,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f9737,plain,
( sK2 = sum(pred(sum(n6,succ(n3))),sum(n3,pred(sum(n6,n3))))
| ~ spl3_7
| ~ spl3_25 ),
inference(forward_demodulation,[],[f9720,f748]) ).
fof(f9720,plain,
( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
| ~ spl3_25 ),
inference(superposition,[],[f489,f842]) ).
fof(f9719,plain,
( ~ spl3_7
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f9718]) ).
fof(f9718,plain,
( $false
| ~ spl3_7
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f9717,f501]) ).
fof(f9717,plain,
( n11 = sK2
| ~ spl3_7
| ~ spl3_36 ),
inference(forward_demodulation,[],[f9716,f478]) ).
fof(f478,plain,
n11 = sum(n20,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f9716,plain,
( sum(n20,n12) = sK2
| ~ spl3_7
| ~ spl3_36 ),
inference(forward_demodulation,[],[f9715,f25]) ).
fof(f9715,plain,
( sK2 = sum(pred(n0),n12)
| ~ spl3_7
| ~ spl3_36 ),
inference(forward_demodulation,[],[f9714,f187]) ).
fof(f9714,plain,
( sK2 = sum(pred(sum(n6,n15)),n12)
| ~ spl3_7
| ~ spl3_36 ),
inference(forward_demodulation,[],[f9713,f18]) ).
fof(f9713,plain,
( sK2 = sum(pred(sum(n6,succ(n14))),n12)
| ~ spl3_7
| ~ spl3_36 ),
inference(forward_demodulation,[],[f9712,f359]) ).
fof(f9712,plain,
( sK2 = sum(pred(sum(n6,succ(n14))),sum(n14,n19))
| ~ spl3_7
| ~ spl3_36 ),
inference(forward_demodulation,[],[f9711,f45]) ).
fof(f9711,plain,
( sK2 = sum(pred(sum(n6,succ(n14))),sum(n14,pred(n20)))
| ~ spl3_7
| ~ spl3_36 ),
inference(forward_demodulation,[],[f9710,f186]) ).
fof(f9710,plain,
( sK2 = sum(pred(sum(n6,succ(n14))),sum(n14,pred(sum(n6,n14))))
| ~ spl3_7
| ~ spl3_36 ),
inference(forward_demodulation,[],[f9692,f748]) ).
fof(f9692,plain,
( sK2 = sum(pred(sum(sK0,succ(n14))),sum(n14,pred(sum(sK0,n14))))
| ~ spl3_36 ),
inference(superposition,[],[f489,f886]) ).
fof(f9691,plain,
( ~ spl3_7
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f9690]) ).
fof(f9690,plain,
( $false
| ~ spl3_7
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f9689,f492]) ).
fof(f9689,plain,
( n2 = sK2
| ~ spl3_7
| ~ spl3_40 ),
inference(forward_demodulation,[],[f9688,f129]) ).
fof(f129,plain,
n2 = sum(n3,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f9688,plain,
( sum(n3,n20) = sK2
| ~ spl3_7
| ~ spl3_40 ),
inference(forward_demodulation,[],[f9687,f29]) ).
fof(f9687,plain,
( sK2 = sum(pred(n4),n20)
| ~ spl3_7
| ~ spl3_40 ),
inference(forward_demodulation,[],[f9686,f191]) ).
fof(f191,plain,
n4 = sum(n6,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f9686,plain,
( sK2 = sum(pred(sum(n6,n19)),n20)
| ~ spl3_7
| ~ spl3_40 ),
inference(forward_demodulation,[],[f9685,f22]) ).
fof(f9685,plain,
( sK2 = sum(pred(sum(n6,succ(n18))),n20)
| ~ spl3_7
| ~ spl3_40 ),
inference(forward_demodulation,[],[f9684,f426]) ).
fof(f9684,plain,
( sK2 = sum(pred(sum(n6,succ(n18))),sum(n18,n2))
| ~ spl3_7
| ~ spl3_40 ),
inference(forward_demodulation,[],[f9683,f28]) ).
fof(f9683,plain,
( sK2 = sum(pred(sum(n6,succ(n18))),sum(n18,pred(n3)))
| ~ spl3_7
| ~ spl3_40 ),
inference(forward_demodulation,[],[f9682,f190]) ).
fof(f190,plain,
n3 = sum(n6,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f9682,plain,
( sK2 = sum(pred(sum(n6,succ(n18))),sum(n18,pred(sum(n6,n18))))
| ~ spl3_7
| ~ spl3_40 ),
inference(forward_demodulation,[],[f9663,f748]) ).
fof(f9663,plain,
( sK2 = sum(pred(sum(sK0,succ(n18))),sum(n18,pred(sum(sK0,n18))))
| ~ spl3_40 ),
inference(superposition,[],[f489,f902]) ).
fof(f9662,plain,
( ~ spl3_7
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f9661]) ).
fof(f9661,plain,
( $false
| ~ spl3_7
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f9660,f507]) ).
fof(f9660,plain,
( n17 = sK2
| ~ spl3_7
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9659,f83]) ).
fof(f83,plain,
n17 = sum(n1,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f9659,plain,
( sum(n1,n16) = sK2
| ~ spl3_7
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9658,f27]) ).
fof(f9658,plain,
( sK2 = sum(pred(n2),n16)
| ~ spl3_7
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9657,f189]) ).
fof(f9657,plain,
( sK2 = sum(pred(sum(n6,n17)),n16)
| ~ spl3_7
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9656,f20]) ).
fof(f9656,plain,
( sK2 = sum(pred(sum(n6,succ(n16))),n16)
| ~ spl3_7
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9655,f382]) ).
fof(f9655,plain,
( sK2 = sum(pred(sum(n6,succ(n16))),sum(n16,n0))
| ~ spl3_7
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9654,f26]) ).
fof(f9654,plain,
( sK2 = sum(pred(sum(n6,succ(n16))),sum(n16,pred(n1)))
| ~ spl3_7
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9653,f188]) ).
fof(f9653,plain,
( sK2 = sum(pred(sum(n6,succ(n16))),sum(n16,pred(sum(n6,n16))))
| ~ spl3_7
| ~ spl3_38 ),
inference(forward_demodulation,[],[f9635,f748]) ).
fof(f9635,plain,
( sK2 = sum(pred(sum(sK0,succ(n16))),sum(n16,pred(sum(sK0,n16))))
| ~ spl3_38 ),
inference(superposition,[],[f489,f894]) ).
fof(f9634,plain,
( ~ spl3_7
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f9633]) ).
fof(f9633,plain,
( $false
| ~ spl3_7
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f9632,f504]) ).
fof(f9632,plain,
( n14 = sK2
| ~ spl3_7
| ~ spl3_23 ),
inference(forward_demodulation,[],[f9631,f200]) ).
fof(f9631,plain,
( sum(n7,n7) = sK2
| ~ spl3_7
| ~ spl3_23 ),
inference(forward_demodulation,[],[f9630,f33]) ).
fof(f9630,plain,
( sK2 = sum(pred(n8),n7)
| ~ spl3_7
| ~ spl3_23 ),
inference(forward_demodulation,[],[f9629,f174]) ).
fof(f9629,plain,
( sK2 = sum(pred(sum(n6,n2)),n7)
| ~ spl3_7
| ~ spl3_23 ),
inference(forward_demodulation,[],[f9628,f5]) ).
fof(f9628,plain,
( sK2 = sum(pred(sum(n6,succ(n1))),n7)
| ~ spl3_7
| ~ spl3_23 ),
inference(forward_demodulation,[],[f9627,f73]) ).
fof(f73,plain,
n7 = sum(n1,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f9627,plain,
( sK2 = sum(pred(sum(n6,succ(n1))),sum(n1,n6))
| ~ spl3_7
| ~ spl3_23 ),
inference(forward_demodulation,[],[f9626,f32]) ).
fof(f9626,plain,
( sK2 = sum(pred(sum(n6,succ(n1))),sum(n1,pred(n7)))
| ~ spl3_7
| ~ spl3_23 ),
inference(forward_demodulation,[],[f9625,f173]) ).
fof(f173,plain,
n7 = sum(n6,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f9625,plain,
( sK2 = sum(pred(sum(n6,succ(n1))),sum(n1,pred(sum(n6,n1))))
| ~ spl3_7
| ~ spl3_23 ),
inference(forward_demodulation,[],[f9612,f748]) ).
fof(f9612,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_23 ),
inference(superposition,[],[f489,f834]) ).
fof(f9611,plain,
( ~ spl3_7
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f9610]) ).
fof(f9610,plain,
( $false
| ~ spl3_7
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f9609,f504]) ).
fof(f9609,plain,
( n14 = sK2
| ~ spl3_7
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9608,f340]) ).
fof(f9608,plain,
( sum(n14,n0) = sK2
| ~ spl3_7
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9607,f40]) ).
fof(f9607,plain,
( sK2 = sum(pred(n15),n0)
| ~ spl3_7
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9606,f181]) ).
fof(f9606,plain,
( sK2 = sum(pred(sum(n6,n9)),n0)
| ~ spl3_7
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9605,f12]) ).
fof(f9605,plain,
( sK2 = sum(pred(sum(n6,succ(n8))),n0)
| ~ spl3_7
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9604,f227]) ).
fof(f9604,plain,
( sK2 = sum(pred(sum(n6,succ(n8))),sum(n8,n13))
| ~ spl3_7
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9603,f39]) ).
fof(f9603,plain,
( sK2 = sum(pred(sum(n6,succ(n8))),sum(n8,pred(n14)))
| ~ spl3_7
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9602,f180]) ).
fof(f9602,plain,
( sK2 = sum(pred(sum(n6,succ(n8))),sum(n8,pred(sum(n6,n8))))
| ~ spl3_7
| ~ spl3_30 ),
inference(forward_demodulation,[],[f9588,f748]) ).
fof(f9588,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_30 ),
inference(superposition,[],[f489,f862]) ).
fof(f9587,plain,
( ~ spl3_7
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f9586]) ).
fof(f9586,plain,
( $false
| ~ spl3_7
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f9585,f510]) ).
fof(f9585,plain,
( n20 = sK2
| ~ spl3_7
| ~ spl3_32 ),
inference(forward_demodulation,[],[f9584,f386]) ).
fof(f9584,plain,
( sum(n16,n4) = sK2
| ~ spl3_7
| ~ spl3_32 ),
inference(forward_demodulation,[],[f9583,f42]) ).
fof(f9583,plain,
( sK2 = sum(pred(n17),n4)
| ~ spl3_7
| ~ spl3_32 ),
inference(forward_demodulation,[],[f9582,f183]) ).
fof(f9582,plain,
( sK2 = sum(pred(sum(n6,n11)),n4)
| ~ spl3_7
| ~ spl3_32 ),
inference(forward_demodulation,[],[f9581,f14]) ).
fof(f9581,plain,
( sK2 = sum(pred(sum(n6,succ(n10))),n4)
| ~ spl3_7
| ~ spl3_32 ),
inference(forward_demodulation,[],[f9580,f271]) ).
fof(f9580,plain,
( sK2 = sum(pred(sum(n6,succ(n10))),sum(n10,n15))
| ~ spl3_7
| ~ spl3_32 ),
inference(forward_demodulation,[],[f9579,f41]) ).
fof(f9579,plain,
( sK2 = sum(pred(sum(n6,succ(n10))),sum(n10,pred(n16)))
| ~ spl3_7
| ~ spl3_32 ),
inference(forward_demodulation,[],[f9578,f182]) ).
fof(f9578,plain,
( sK2 = sum(pred(sum(n6,succ(n10))),sum(n10,pred(sum(n6,n10))))
| ~ spl3_7
| ~ spl3_32 ),
inference(forward_demodulation,[],[f9563,f748]) ).
fof(f9563,plain,
( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
| ~ spl3_32 ),
inference(superposition,[],[f489,f870]) ).
fof(f9562,plain,
( ~ spl3_7
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f9561]) ).
fof(f9561,plain,
( $false
| ~ spl3_7
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f9560,f495]) ).
fof(f9560,plain,
( n5 = sK2
| ~ spl3_7
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9559,f432]) ).
fof(f9559,plain,
( sum(n18,n8) = sK2
| ~ spl3_7
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9558,f44]) ).
fof(f9558,plain,
( sK2 = sum(pred(n19),n8)
| ~ spl3_7
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9557,f185]) ).
fof(f9557,plain,
( sK2 = sum(pred(sum(n6,n13)),n8)
| ~ spl3_7
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9556,f16]) ).
fof(f9556,plain,
( sK2 = sum(pred(sum(n6,succ(n12))),n8)
| ~ spl3_7
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9555,f315]) ).
fof(f9555,plain,
( sK2 = sum(pred(sum(n6,succ(n12))),sum(n12,n17))
| ~ spl3_7
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9554,f43]) ).
fof(f9554,plain,
( sK2 = sum(pred(sum(n6,succ(n12))),sum(n12,pred(n18)))
| ~ spl3_7
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9553,f184]) ).
fof(f9553,plain,
( sK2 = sum(pred(sum(n6,succ(n12))),sum(n12,pred(sum(n6,n12))))
| ~ spl3_7
| ~ spl3_34 ),
inference(forward_demodulation,[],[f9537,f748]) ).
fof(f9537,plain,
( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
| ~ spl3_34 ),
inference(superposition,[],[f489,f878]) ).
fof(f9536,plain,
( ~ spl3_7
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f9535]) ).
fof(f9535,plain,
( $false
| ~ spl3_7
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f9534,f501]) ).
fof(f9534,plain,
( n11 = sK2
| ~ spl3_7
| ~ spl3_29 ),
inference(forward_demodulation,[],[f9533,f338]) ).
fof(f338,plain,
n11 = sum(n13,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f9533,plain,
( sum(n13,n19) = sK2
| ~ spl3_7
| ~ spl3_29 ),
inference(forward_demodulation,[],[f9532,f39]) ).
fof(f9532,plain,
( sK2 = sum(pred(n14),n19)
| ~ spl3_7
| ~ spl3_29 ),
inference(forward_demodulation,[],[f9531,f180]) ).
fof(f9531,plain,
( sK2 = sum(pred(sum(n6,n8)),n19)
| ~ spl3_7
| ~ spl3_29 ),
inference(forward_demodulation,[],[f9530,f11]) ).
fof(f9530,plain,
( sK2 = sum(pred(sum(n6,succ(n7))),n19)
| ~ spl3_7
| ~ spl3_29 ),
inference(forward_demodulation,[],[f9529,f205]) ).
fof(f9529,plain,
( sK2 = sum(pred(sum(n6,succ(n7))),sum(n7,n12))
| ~ spl3_7
| ~ spl3_29 ),
inference(forward_demodulation,[],[f9528,f38]) ).
fof(f9528,plain,
( sK2 = sum(pred(sum(n6,succ(n7))),sum(n7,pred(n13)))
| ~ spl3_7
| ~ spl3_29 ),
inference(forward_demodulation,[],[f9527,f179]) ).
fof(f9527,plain,
( sK2 = sum(pred(sum(n6,succ(n7))),sum(n7,pred(sum(n6,n7))))
| ~ spl3_7
| ~ spl3_29 ),
inference(forward_demodulation,[],[f9512,f748]) ).
fof(f9512,plain,
( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
| ~ spl3_29 ),
inference(superposition,[],[f489,f858]) ).
fof(f9490,plain,
( ~ spl3_1
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f9489]) ).
fof(f9489,plain,
( $false
| ~ spl3_1
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f9488,f495]) ).
fof(f9488,plain,
( n5 = sK2
| ~ spl3_1
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9487,f91]) ).
fof(f9487,plain,
( sum(n2,n3) = sK2
| ~ spl3_1
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9486,f28]) ).
fof(f9486,plain,
( sK2 = sum(pred(n3),n3)
| ~ spl3_1
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9485,f49]) ).
fof(f9485,plain,
( sK2 = sum(pred(sum(n0,n3)),n3)
| ~ spl3_1
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9484,f6]) ).
fof(f6,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f3]) ).
fof(f9484,plain,
( sK2 = sum(pred(sum(n0,succ(n2))),n3)
| ~ spl3_1
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9483,f89]) ).
fof(f9483,plain,
( sK2 = sum(pred(sum(n0,succ(n2))),sum(n2,n1))
| ~ spl3_1
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9482,f27]) ).
fof(f9482,plain,
( sK2 = sum(pred(sum(n0,succ(n2))),sum(n2,pred(n2)))
| ~ spl3_1
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9481,f48]) ).
fof(f9481,plain,
( sK2 = sum(pred(sum(n0,succ(n2))),sum(n2,pred(sum(n0,n2))))
| ~ spl3_1
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9464,f838]) ).
fof(f838,plain,
( n2 = sK1
| ~ spl3_24 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f836,plain,
( spl3_24
<=> n2 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).
fof(f9464,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f489,f724]) ).
fof(f9463,plain,
( ~ spl3_12
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f9462]) ).
fof(f9462,plain,
( $false
| ~ spl3_12
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f9461,f496]) ).
fof(f9461,plain,
( n6 = sK2
| ~ spl3_12
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9460,f333]) ).
fof(f333,plain,
n6 = sum(n13,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f9460,plain,
( sum(n13,n14) = sK2
| ~ spl3_12
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9459,f39]) ).
fof(f9459,plain,
( sK2 = sum(pred(n14),n14)
| ~ spl3_12
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9458,f280]) ).
fof(f9458,plain,
( sK2 = sum(pred(sum(n11,n3)),n14)
| ~ spl3_12
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9457,f6]) ).
fof(f9457,plain,
( sK2 = sum(pred(sum(n11,succ(n2))),n14)
| ~ spl3_12
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9456,f100]) ).
fof(f9456,plain,
( sK2 = sum(pred(sum(n11,succ(n2))),sum(n2,n12))
| ~ spl3_12
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9455,f38]) ).
fof(f9455,plain,
( sK2 = sum(pred(sum(n11,succ(n2))),sum(n2,pred(n13)))
| ~ spl3_12
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9454,f279]) ).
fof(f9454,plain,
( sK2 = sum(pred(sum(n11,succ(n2))),sum(n2,pred(sum(n11,n2))))
| ~ spl3_12
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9436,f838]) ).
fof(f9436,plain,
( sK2 = sum(pred(sum(n11,succ(sK1))),sum(sK1,pred(sum(n11,sK1))))
| ~ spl3_12 ),
inference(superposition,[],[f489,f768]) ).
fof(f9435,plain,
( ~ spl3_9
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f9434]) ).
fof(f9434,plain,
( $false
| ~ spl3_9
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f9433,f490]) ).
fof(f9433,plain,
( n0 = sK2
| ~ spl3_9
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9432,f267]) ).
fof(f9432,plain,
( sum(n10,n11) = sK2
| ~ spl3_9
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9431,f36]) ).
fof(f9431,plain,
( sK2 = sum(pred(n11),n11)
| ~ spl3_9
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9430,f217]) ).
fof(f9430,plain,
( sK2 = sum(pred(sum(n8,n3)),n11)
| ~ spl3_9
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9429,f6]) ).
fof(f9429,plain,
( sK2 = sum(pred(sum(n8,succ(n2))),n11)
| ~ spl3_9
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9428,f97]) ).
fof(f9428,plain,
( sK2 = sum(pred(sum(n8,succ(n2))),sum(n2,n9))
| ~ spl3_9
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9427,f35]) ).
fof(f9427,plain,
( sK2 = sum(pred(sum(n8,succ(n2))),sum(n2,pred(n10)))
| ~ spl3_9
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9426,f216]) ).
fof(f9426,plain,
( sK2 = sum(pred(sum(n8,succ(n2))),sum(n2,pred(sum(n8,n2))))
| ~ spl3_9
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9409,f838]) ).
fof(f9409,plain,
( sK2 = sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1))))
| ~ spl3_9 ),
inference(superposition,[],[f489,f756]) ).
fof(f9408,plain,
( ~ spl3_11
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f9407]) ).
fof(f9407,plain,
( $false
| ~ spl3_11
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f9406,f494]) ).
fof(f9406,plain,
( n4 = sK2
| ~ spl3_11
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9405,f311]) ).
fof(f9405,plain,
( sum(n12,n13) = sK2
| ~ spl3_11
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9404,f38]) ).
fof(f9404,plain,
( sK2 = sum(pred(n13),n13)
| ~ spl3_11
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9403,f259]) ).
fof(f9403,plain,
( sK2 = sum(pred(sum(n10,n3)),n13)
| ~ spl3_11
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9402,f6]) ).
fof(f9402,plain,
( sK2 = sum(pred(sum(n10,succ(n2))),n13)
| ~ spl3_11
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9401,f99]) ).
fof(f9401,plain,
( sK2 = sum(pred(sum(n10,succ(n2))),sum(n2,n11))
| ~ spl3_11
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9400,f37]) ).
fof(f9400,plain,
( sK2 = sum(pred(sum(n10,succ(n2))),sum(n2,pred(n12)))
| ~ spl3_11
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9399,f258]) ).
fof(f9399,plain,
( sK2 = sum(pred(sum(n10,succ(n2))),sum(n2,pred(sum(n10,n2))))
| ~ spl3_11
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9381,f838]) ).
fof(f9381,plain,
( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
| ~ spl3_11 ),
inference(superposition,[],[f489,f764]) ).
fof(f9380,plain,
( ~ spl3_5
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f9379]) ).
fof(f9379,plain,
( $false
| ~ spl3_5
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f9378,f503]) ).
fof(f9378,plain,
( n13 = sK2
| ~ spl3_5
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9377,f179]) ).
fof(f9377,plain,
( sum(n6,n7) = sK2
| ~ spl3_5
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9376,f32]) ).
fof(f9376,plain,
( sK2 = sum(pred(n7),n7)
| ~ spl3_5
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9375,f133]) ).
fof(f9375,plain,
( sK2 = sum(pred(sum(n4,n3)),n7)
| ~ spl3_5
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9374,f6]) ).
fof(f9374,plain,
( sK2 = sum(pred(sum(n4,succ(n2))),n7)
| ~ spl3_5
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9373,f93]) ).
fof(f9373,plain,
( sK2 = sum(pred(sum(n4,succ(n2))),sum(n2,n5))
| ~ spl3_5
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9372,f31]) ).
fof(f9372,plain,
( sK2 = sum(pred(sum(n4,succ(n2))),sum(n2,pred(n6)))
| ~ spl3_5
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9371,f132]) ).
fof(f9371,plain,
( sK2 = sum(pred(sum(n4,succ(n2))),sum(n2,pred(sum(n4,n2))))
| ~ spl3_5
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9354,f838]) ).
fof(f9354,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f489,f740]) ).
fof(f9353,plain,
( ~ spl3_8
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f9352]) ).
fof(f9352,plain,
( $false
| ~ spl3_8
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f9351,f509]) ).
fof(f9351,plain,
( n19 = sK2
| ~ spl3_8
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9350,f245]) ).
fof(f9350,plain,
( sum(n9,n10) = sK2
| ~ spl3_8
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9349,f35]) ).
fof(f9349,plain,
( sK2 = sum(pred(n10),n10)
| ~ spl3_8
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9348,f196]) ).
fof(f9348,plain,
( sK2 = sum(pred(sum(n7,n3)),n10)
| ~ spl3_8
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9347,f6]) ).
fof(f9347,plain,
( sK2 = sum(pred(sum(n7,succ(n2))),n10)
| ~ spl3_8
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9346,f96]) ).
fof(f9346,plain,
( sK2 = sum(pred(sum(n7,succ(n2))),sum(n2,n8))
| ~ spl3_8
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9345,f34]) ).
fof(f9345,plain,
( sK2 = sum(pred(sum(n7,succ(n2))),sum(n2,pred(n9)))
| ~ spl3_8
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9344,f195]) ).
fof(f9344,plain,
( sK2 = sum(pred(sum(n7,succ(n2))),sum(n2,pred(sum(n7,n2))))
| ~ spl3_8
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9326,f838]) ).
fof(f9326,plain,
( sK2 = sum(pred(sum(n7,succ(sK1))),sum(sK1,pred(sum(n7,sK1))))
| ~ spl3_8 ),
inference(superposition,[],[f489,f752]) ).
fof(f9325,plain,
( ~ spl3_4
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f9324]) ).
fof(f9324,plain,
( $false
| ~ spl3_4
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f9323,f501]) ).
fof(f9323,plain,
( n11 = sK2
| ~ spl3_4
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9322,f157]) ).
fof(f9322,plain,
( sum(n5,n6) = sK2
| ~ spl3_4
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9321,f31]) ).
fof(f9321,plain,
( sK2 = sum(pred(n6),n6)
| ~ spl3_4
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9320,f112]) ).
fof(f9320,plain,
( sK2 = sum(pred(sum(n3,n3)),n6)
| ~ spl3_4
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9319,f6]) ).
fof(f9319,plain,
( sK2 = sum(pred(sum(n3,succ(n2))),n6)
| ~ spl3_4
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9318,f92]) ).
fof(f9318,plain,
( sK2 = sum(pred(sum(n3,succ(n2))),sum(n2,n4))
| ~ spl3_4
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9317,f30]) ).
fof(f9317,plain,
( sK2 = sum(pred(sum(n3,succ(n2))),sum(n2,pred(n5)))
| ~ spl3_4
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9316,f111]) ).
fof(f9316,plain,
( sK2 = sum(pred(sum(n3,succ(n2))),sum(n2,pred(sum(n3,n2))))
| ~ spl3_4
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9298,f838]) ).
fof(f9298,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f489,f736]) ).
fof(f9297,plain,
( ~ spl3_13
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f9296]) ).
fof(f9296,plain,
( $false
| ~ spl3_13
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f9295,f498]) ).
fof(f9295,plain,
( n8 = sK2
| ~ spl3_13
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9294,f355]) ).
fof(f9294,plain,
( sum(n14,n15) = sK2
| ~ spl3_13
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9293,f40]) ).
fof(f9293,plain,
( sK2 = sum(pred(n15),n15)
| ~ spl3_13
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9292,f301]) ).
fof(f9292,plain,
( sK2 = sum(pred(sum(n12,n3)),n15)
| ~ spl3_13
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9291,f6]) ).
fof(f9291,plain,
( sK2 = sum(pred(sum(n12,succ(n2))),n15)
| ~ spl3_13
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9290,f101]) ).
fof(f9290,plain,
( sK2 = sum(pred(sum(n12,succ(n2))),sum(n2,n13))
| ~ spl3_13
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9289,f39]) ).
fof(f9289,plain,
( sK2 = sum(pred(sum(n12,succ(n2))),sum(n2,pred(n14)))
| ~ spl3_13
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9288,f300]) ).
fof(f9288,plain,
( sK2 = sum(pred(sum(n12,succ(n2))),sum(n2,pred(sum(n12,n2))))
| ~ spl3_13
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9269,f838]) ).
fof(f9269,plain,
( sK2 = sum(pred(sum(n12,succ(sK1))),sum(sK1,pred(sum(n12,sK1))))
| ~ spl3_13 ),
inference(superposition,[],[f489,f772]) ).
fof(f9268,plain,
( ~ spl3_7
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f9267]) ).
fof(f9267,plain,
( $false
| ~ spl3_7
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f9266,f507]) ).
fof(f9266,plain,
( n17 = sK2
| ~ spl3_7
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9265,f223]) ).
fof(f9265,plain,
( sum(n8,n9) = sK2
| ~ spl3_7
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9264,f34]) ).
fof(f9264,plain,
( sK2 = sum(pred(n9),n9)
| ~ spl3_7
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9263,f175]) ).
fof(f9263,plain,
( sK2 = sum(pred(sum(n6,n3)),n9)
| ~ spl3_7
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9262,f6]) ).
fof(f9262,plain,
( sK2 = sum(pred(sum(n6,succ(n2))),n9)
| ~ spl3_7
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9261,f95]) ).
fof(f9261,plain,
( sK2 = sum(pred(sum(n6,succ(n2))),sum(n2,n7))
| ~ spl3_7
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9260,f33]) ).
fof(f9260,plain,
( sK2 = sum(pred(sum(n6,succ(n2))),sum(n2,pred(n8)))
| ~ spl3_7
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9259,f174]) ).
fof(f9259,plain,
( sK2 = sum(pred(sum(n6,succ(n2))),sum(n2,pred(sum(n6,n2))))
| ~ spl3_7
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9241,f838]) ).
fof(f9241,plain,
( sK2 = sum(pred(sum(n6,succ(sK1))),sum(sK1,pred(sum(n6,sK1))))
| ~ spl3_7 ),
inference(superposition,[],[f489,f748]) ).
fof(f9240,plain,
( ~ spl3_3
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f9239]) ).
fof(f9239,plain,
( $false
| ~ spl3_3
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f9238,f499]) ).
fof(f9238,plain,
( n9 = sK2
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9237,f135]) ).
fof(f9237,plain,
( sum(n4,n5) = sK2
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9236,f30]) ).
fof(f9236,plain,
( sK2 = sum(pred(n5),n5)
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9235,f91]) ).
fof(f9235,plain,
( sK2 = sum(pred(sum(n2,n3)),n5)
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9234,f6]) ).
fof(f9234,plain,
( sK2 = sum(pred(sum(n2,succ(n2))),n5)
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9233,f91]) ).
fof(f9233,plain,
( sK2 = sum(pred(sum(n2,succ(n2))),sum(n2,n3))
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9232,f29]) ).
fof(f9232,plain,
( sK2 = sum(pred(sum(n2,succ(n2))),sum(n2,pred(n4)))
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9231,f90]) ).
fof(f9231,plain,
( sK2 = sum(pred(sum(n2,succ(n2))),sum(n2,pred(sum(n2,n2))))
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9214,f838]) ).
fof(f9214,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f489,f732]) ).
fof(f9213,plain,
( ~ spl3_6
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f9212]) ).
fof(f9212,plain,
( $false
| ~ spl3_6
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f9211,f505]) ).
fof(f9211,plain,
( n15 = sK2
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9210,f201]) ).
fof(f9210,plain,
( sum(n7,n8) = sK2
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9209,f33]) ).
fof(f9209,plain,
( sK2 = sum(pred(n8),n8)
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9208,f154]) ).
fof(f9208,plain,
( sK2 = sum(pred(sum(n5,n3)),n8)
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9207,f6]) ).
fof(f9207,plain,
( sK2 = sum(pred(sum(n5,succ(n2))),n8)
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9206,f94]) ).
fof(f9206,plain,
( sK2 = sum(pred(sum(n5,succ(n2))),sum(n2,n6))
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9205,f32]) ).
fof(f9205,plain,
( sK2 = sum(pred(sum(n5,succ(n2))),sum(n2,pred(n7)))
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9204,f153]) ).
fof(f9204,plain,
( sK2 = sum(pred(sum(n5,succ(n2))),sum(n2,pred(sum(n5,n2))))
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9186,f838]) ).
fof(f9186,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f489,f744]) ).
fof(f9184,plain,
( ~ spl3_10
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f9183]) ).
fof(f9183,plain,
( $false
| ~ spl3_10
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f9182,f492]) ).
fof(f9182,plain,
( n2 = sK2
| ~ spl3_10
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9181,f289]) ).
fof(f9181,plain,
( sum(n11,n12) = sK2
| ~ spl3_10
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9180,f37]) ).
fof(f9180,plain,
( sK2 = sum(pred(n12),n12)
| ~ spl3_10
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9179,f238]) ).
fof(f9179,plain,
( sK2 = sum(pred(sum(n9,n3)),n12)
| ~ spl3_10
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9178,f6]) ).
fof(f9178,plain,
( sK2 = sum(pred(sum(n9,succ(n2))),n12)
| ~ spl3_10
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9177,f98]) ).
fof(f9177,plain,
( sK2 = sum(pred(sum(n9,succ(n2))),sum(n2,n10))
| ~ spl3_10
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9176,f36]) ).
fof(f9176,plain,
( sK2 = sum(pred(sum(n9,succ(n2))),sum(n2,pred(n11)))
| ~ spl3_10
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9175,f237]) ).
fof(f9175,plain,
( sK2 = sum(pred(sum(n9,succ(n2))),sum(n2,pred(sum(n9,n2))))
| ~ spl3_10
| ~ spl3_24 ),
inference(forward_demodulation,[],[f9160,f760]) ).
fof(f9160,plain,
( sK2 = sum(pred(sum(sK0,succ(n2))),sum(n2,pred(sum(sK0,n2))))
| ~ spl3_24 ),
inference(superposition,[],[f489,f838]) ).
fof(f9138,plain,
( ~ spl3_14
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f9137]) ).
fof(f9137,plain,
( $false
| ~ spl3_14
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f9136,f503]) ).
fof(f9136,plain,
( n13 = sK2
| ~ spl3_14
| ~ spl3_32 ),
inference(forward_demodulation,[],[f9135,f99]) ).
fof(f9135,plain,
( sum(n2,n11) = sK2
| ~ spl3_14
| ~ spl3_32 ),
inference(forward_demodulation,[],[f9134,f28]) ).
fof(f9134,plain,
( sK2 = sum(pred(n3),n11)
| ~ spl3_14
| ~ spl3_32 ),
inference(forward_demodulation,[],[f9133,f330]) ).
fof(f330,plain,
n3 = sum(n13,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f9133,plain,
( sK2 = sum(pred(sum(n13,n11)),n11)
| ~ spl3_14
| ~ spl3_32 ),
inference(forward_demodulation,[],[f9132,f14]) ).
fof(f9132,plain,
( sK2 = sum(pred(sum(n13,succ(n10))),n11)
| ~ spl3_14
| ~ spl3_32 ),
inference(forward_demodulation,[],[f9131,f257]) ).
fof(f9131,plain,
( sK2 = sum(pred(sum(n13,succ(n10))),sum(n10,n1))
| ~ spl3_14
| ~ spl3_32 ),
inference(forward_demodulation,[],[f9130,f27]) ).
fof(f9130,plain,
( sK2 = sum(pred(sum(n13,succ(n10))),sum(n10,pred(n2)))
| ~ spl3_14
| ~ spl3_32 ),
inference(forward_demodulation,[],[f9129,f329]) ).
fof(f329,plain,
n2 = sum(n13,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f9129,plain,
( sK2 = sum(pred(sum(n13,succ(n10))),sum(n10,pred(sum(n13,n10))))
| ~ spl3_14
| ~ spl3_32 ),
inference(forward_demodulation,[],[f9113,f776]) ).
fof(f776,plain,
( n13 = sK0
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f774,plain,
( spl3_14
<=> n13 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f9113,plain,
( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
| ~ spl3_32 ),
inference(superposition,[],[f489,f870]) ).
fof(f9112,plain,
( ~ spl3_14
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f9111]) ).
fof(f9111,plain,
( $false
| ~ spl3_14
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f9110,f494]) ).
fof(f9110,plain,
( n4 = sK2
| ~ spl3_14
| ~ spl3_36 ),
inference(forward_demodulation,[],[f9109,f191]) ).
fof(f9109,plain,
( sum(n6,n19) = sK2
| ~ spl3_14
| ~ spl3_36 ),
inference(forward_demodulation,[],[f9108,f32]) ).
fof(f9108,plain,
( sK2 = sum(pred(n7),n19)
| ~ spl3_14
| ~ spl3_36 ),
inference(forward_demodulation,[],[f9107,f334]) ).
fof(f9107,plain,
( sK2 = sum(pred(sum(n13,n15)),n19)
| ~ spl3_14
| ~ spl3_36 ),
inference(forward_demodulation,[],[f9106,f18]) ).
fof(f9106,plain,
( sK2 = sum(pred(sum(n13,succ(n14))),n19)
| ~ spl3_14
| ~ spl3_36 ),
inference(forward_demodulation,[],[f9105,f345]) ).
fof(f345,plain,
n19 = sum(n14,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f9105,plain,
( sK2 = sum(pred(sum(n13,succ(n14))),sum(n14,n5))
| ~ spl3_14
| ~ spl3_36 ),
inference(forward_demodulation,[],[f9104,f31]) ).
fof(f9104,plain,
( sK2 = sum(pred(sum(n13,succ(n14))),sum(n14,pred(n6)))
| ~ spl3_14
| ~ spl3_36 ),
inference(forward_demodulation,[],[f9103,f333]) ).
fof(f9103,plain,
( sK2 = sum(pred(sum(n13,succ(n14))),sum(n14,pred(sum(n13,n14))))
| ~ spl3_14
| ~ spl3_36 ),
inference(forward_demodulation,[],[f9086,f776]) ).
fof(f9086,plain,
( sK2 = sum(pred(sum(sK0,succ(n14))),sum(n14,pred(sum(sK0,n14))))
| ~ spl3_36 ),
inference(superposition,[],[f489,f886]) ).
fof(f9085,plain,
( ~ spl3_14
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f9084]) ).
fof(f9084,plain,
( $false
| ~ spl3_14
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f9083,f509]) ).
fof(f9083,plain,
( n19 = sK2
| ~ spl3_14
| ~ spl3_27 ),
inference(forward_demodulation,[],[f9082,f425]) ).
fof(f9082,plain,
( sum(n18,n1) = sK2
| ~ spl3_14
| ~ spl3_27 ),
inference(forward_demodulation,[],[f9081,f44]) ).
fof(f9081,plain,
( sK2 = sum(pred(n19),n1)
| ~ spl3_14
| ~ spl3_27 ),
inference(forward_demodulation,[],[f9080,f325]) ).
fof(f325,plain,
n19 = sum(n13,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f9080,plain,
( sK2 = sum(pred(sum(n13,n6)),n1)
| ~ spl3_14
| ~ spl3_27 ),
inference(forward_demodulation,[],[f9079,f9]) ).
fof(f9079,plain,
( sK2 = sum(pred(sum(n13,succ(n5))),n1)
| ~ spl3_14
| ~ spl3_27 ),
inference(forward_demodulation,[],[f9078,f168]) ).
fof(f9078,plain,
( sK2 = sum(pred(sum(n13,succ(n5))),sum(n5,n17))
| ~ spl3_14
| ~ spl3_27 ),
inference(forward_demodulation,[],[f9077,f43]) ).
fof(f9077,plain,
( sK2 = sum(pred(sum(n13,succ(n5))),sum(n5,pred(n18)))
| ~ spl3_14
| ~ spl3_27 ),
inference(forward_demodulation,[],[f9076,f324]) ).
fof(f324,plain,
n18 = sum(n13,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f9076,plain,
( sK2 = sum(pred(sum(n13,succ(n5))),sum(n5,pred(sum(n13,n5))))
| ~ spl3_14
| ~ spl3_27 ),
inference(forward_demodulation,[],[f9061,f776]) ).
fof(f9061,plain,
( sK2 = sum(pred(sum(sK0,succ(n5))),sum(n5,pred(sum(sK0,n5))))
| ~ spl3_27 ),
inference(superposition,[],[f489,f850]) ).
fof(f9060,plain,
( ~ spl3_14
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f9059]) ).
fof(f9059,plain,
( $false
| ~ spl3_14
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f9058,f491]) ).
fof(f9058,plain,
( n1 = sK2
| ~ spl3_14
| ~ spl3_28 ),
inference(forward_demodulation,[],[f9057,f448]) ).
fof(f448,plain,
n1 = sum(n19,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f9057,plain,
( sum(n19,n3) = sK2
| ~ spl3_14
| ~ spl3_28 ),
inference(forward_demodulation,[],[f9056,f45]) ).
fof(f9056,plain,
( sK2 = sum(pred(n20),n3)
| ~ spl3_14
| ~ spl3_28 ),
inference(forward_demodulation,[],[f9055,f326]) ).
fof(f326,plain,
n20 = sum(n13,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f9055,plain,
( sK2 = sum(pred(sum(n13,n7)),n3)
| ~ spl3_14
| ~ spl3_28 ),
inference(forward_demodulation,[],[f9054,f10]) ).
fof(f9054,plain,
( sK2 = sum(pred(sum(n13,succ(n6))),n3)
| ~ spl3_14
| ~ spl3_28 ),
inference(forward_demodulation,[],[f9053,f190]) ).
fof(f9053,plain,
( sK2 = sum(pred(sum(n13,succ(n6))),sum(n6,n18))
| ~ spl3_14
| ~ spl3_28 ),
inference(forward_demodulation,[],[f9052,f44]) ).
fof(f9052,plain,
( sK2 = sum(pred(sum(n13,succ(n6))),sum(n6,pred(n19)))
| ~ spl3_14
| ~ spl3_28 ),
inference(forward_demodulation,[],[f9051,f325]) ).
fof(f9051,plain,
( sK2 = sum(pred(sum(n13,succ(n6))),sum(n6,pred(sum(n13,n6))))
| ~ spl3_14
| ~ spl3_28 ),
inference(forward_demodulation,[],[f9035,f776]) ).
fof(f9035,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_28 ),
inference(superposition,[],[f489,f854]) ).
fof(f9034,plain,
( ~ spl3_14
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f9033]) ).
fof(f9033,plain,
( $false
| ~ spl3_14
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f9032,f506]) ).
fof(f9032,plain,
( n16 = sK2
| ~ spl3_14
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9031,f423]) ).
fof(f423,plain,
n16 = sum(n17,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f9031,plain,
( sum(n17,n20) = sK2
| ~ spl3_14
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9030,f43]) ).
fof(f9030,plain,
( sK2 = sum(pred(n18),n20)
| ~ spl3_14
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9029,f324]) ).
fof(f9029,plain,
( sK2 = sum(pred(sum(n13,n5)),n20)
| ~ spl3_14
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9028,f8]) ).
fof(f9028,plain,
( sK2 = sum(pred(sum(n13,succ(n4))),n20)
| ~ spl3_14
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9027,f146]) ).
fof(f9027,plain,
( sK2 = sum(pred(sum(n13,succ(n4))),sum(n4,n16))
| ~ spl3_14
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9026,f42]) ).
fof(f9026,plain,
( sK2 = sum(pred(sum(n13,succ(n4))),sum(n4,pred(n17)))
| ~ spl3_14
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9025,f323]) ).
fof(f323,plain,
n17 = sum(n13,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f9025,plain,
( sK2 = sum(pred(sum(n13,succ(n4))),sum(n4,pred(sum(n13,n4))))
| ~ spl3_14
| ~ spl3_26 ),
inference(forward_demodulation,[],[f9009,f776]) ).
fof(f9009,plain,
( sK2 = sum(pred(sum(sK0,succ(n4))),sum(n4,pred(sum(sK0,n4))))
| ~ spl3_26 ),
inference(superposition,[],[f489,f846]) ).
fof(f9008,plain,
( ~ spl3_14
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f9007]) ).
fof(f9007,plain,
( $false
| ~ spl3_14
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f9006,f497]) ).
fof(f9006,plain,
( n7 = sK2
| ~ spl3_14
| ~ spl3_23 ),
inference(forward_demodulation,[],[f9005,f354]) ).
fof(f354,plain,
n7 = sum(n14,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f9005,plain,
( sum(n14,n14) = sK2
| ~ spl3_14
| ~ spl3_23 ),
inference(forward_demodulation,[],[f9004,f40]) ).
fof(f9004,plain,
( sK2 = sum(pred(n15),n14)
| ~ spl3_14
| ~ spl3_23 ),
inference(forward_demodulation,[],[f9003,f321]) ).
fof(f321,plain,
n15 = sum(n13,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f9003,plain,
( sK2 = sum(pred(sum(n13,n2)),n14)
| ~ spl3_14
| ~ spl3_23 ),
inference(forward_demodulation,[],[f9002,f5]) ).
fof(f9002,plain,
( sK2 = sum(pred(sum(n13,succ(n1))),n14)
| ~ spl3_14
| ~ spl3_23 ),
inference(forward_demodulation,[],[f9001,f80]) ).
fof(f80,plain,
n14 = sum(n1,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f9001,plain,
( sK2 = sum(pred(sum(n13,succ(n1))),sum(n1,n13))
| ~ spl3_14
| ~ spl3_23 ),
inference(forward_demodulation,[],[f9000,f39]) ).
fof(f9000,plain,
( sK2 = sum(pred(sum(n13,succ(n1))),sum(n1,pred(n14)))
| ~ spl3_14
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8999,f320]) ).
fof(f8999,plain,
( sK2 = sum(pred(sum(n13,succ(n1))),sum(n1,pred(sum(n13,n1))))
| ~ spl3_14
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8984,f776]) ).
fof(f8984,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_23 ),
inference(superposition,[],[f489,f834]) ).
fof(f8983,plain,
( ~ spl3_14
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f8982]) ).
fof(f8982,plain,
( $false
| ~ spl3_14
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f8981,f500]) ).
fof(f8981,plain,
( n10 = sK2
| ~ spl3_14
| ~ spl3_24 ),
inference(forward_demodulation,[],[f8980,f377]) ).
fof(f377,plain,
n10 = sum(n15,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f8980,plain,
( sum(n15,n16) = sK2
| ~ spl3_14
| ~ spl3_24 ),
inference(forward_demodulation,[],[f8979,f41]) ).
fof(f8979,plain,
( sK2 = sum(pred(n16),n16)
| ~ spl3_14
| ~ spl3_24 ),
inference(forward_demodulation,[],[f8978,f322]) ).
fof(f322,plain,
n16 = sum(n13,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f8978,plain,
( sK2 = sum(pred(sum(n13,n3)),n16)
| ~ spl3_14
| ~ spl3_24 ),
inference(forward_demodulation,[],[f8977,f6]) ).
fof(f8977,plain,
( sK2 = sum(pred(sum(n13,succ(n2))),n16)
| ~ spl3_14
| ~ spl3_24 ),
inference(forward_demodulation,[],[f8976,f102]) ).
fof(f8976,plain,
( sK2 = sum(pred(sum(n13,succ(n2))),sum(n2,n14))
| ~ spl3_14
| ~ spl3_24 ),
inference(forward_demodulation,[],[f8975,f40]) ).
fof(f8975,plain,
( sK2 = sum(pred(sum(n13,succ(n2))),sum(n2,pred(n15)))
| ~ spl3_14
| ~ spl3_24 ),
inference(forward_demodulation,[],[f8974,f321]) ).
fof(f8974,plain,
( sK2 = sum(pred(sum(n13,succ(n2))),sum(n2,pred(sum(n13,n2))))
| ~ spl3_14
| ~ spl3_24 ),
inference(forward_demodulation,[],[f8958,f776]) ).
fof(f8958,plain,
( sK2 = sum(pred(sum(sK0,succ(n2))),sum(n2,pred(sum(sK0,n2))))
| ~ spl3_24 ),
inference(superposition,[],[f489,f838]) ).
fof(f8957,plain,
( ~ spl3_14
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f8956]) ).
fof(f8956,plain,
( $false
| ~ spl3_14
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f8955,f497]) ).
fof(f8955,plain,
( n7 = sK2
| ~ spl3_14
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8954,f53]) ).
fof(f8954,plain,
( sum(n0,n7) = sK2
| ~ spl3_14
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8953,f26]) ).
fof(f8953,plain,
( sK2 = sum(pred(n1),n7)
| ~ spl3_14
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8952,f328]) ).
fof(f328,plain,
n1 = sum(n13,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f8952,plain,
( sK2 = sum(pred(sum(n13,n9)),n7)
| ~ spl3_14
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8951,f12]) ).
fof(f8951,plain,
( sK2 = sum(pred(sum(n13,succ(n8))),n7)
| ~ spl3_14
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8950,f234]) ).
fof(f234,plain,
n7 = sum(n8,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f8950,plain,
( sK2 = sum(pred(sum(n13,succ(n8))),sum(n8,n20))
| ~ spl3_14
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8949,f25]) ).
fof(f8949,plain,
( sK2 = sum(pred(sum(n13,succ(n8))),sum(n8,pred(n0)))
| ~ spl3_14
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8948,f327]) ).
fof(f327,plain,
n0 = sum(n13,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f8948,plain,
( sK2 = sum(pred(sum(n13,succ(n8))),sum(n8,pred(sum(n13,n8))))
| ~ spl3_14
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8931,f776]) ).
fof(f8931,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_30 ),
inference(superposition,[],[f489,f862]) ).
fof(f8930,plain,
( ~ spl3_14
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f8929]) ).
fof(f8929,plain,
( $false
| ~ spl3_14
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f8928,f500]) ).
fof(f8928,plain,
( n10 = sK2
| ~ spl3_14
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8927,f216]) ).
fof(f8927,plain,
( sum(n8,n2) = sK2
| ~ spl3_14
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8926,f34]) ).
fof(f8926,plain,
( sK2 = sum(pred(n9),n2)
| ~ spl3_14
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8925,f336]) ).
fof(f8925,plain,
( sK2 = sum(pred(sum(n13,n17)),n2)
| ~ spl3_14
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8924,f20]) ).
fof(f8924,plain,
( sK2 = sum(pred(sum(n13,succ(n16))),n2)
| ~ spl3_14
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8923,f389]) ).
fof(f389,plain,
n2 = sum(n16,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f8923,plain,
( sK2 = sum(pred(sum(n13,succ(n16))),sum(n16,n7))
| ~ spl3_14
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8922,f33]) ).
fof(f8922,plain,
( sK2 = sum(pred(sum(n13,succ(n16))),sum(n16,pred(n8)))
| ~ spl3_14
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8921,f335]) ).
fof(f8921,plain,
( sK2 = sum(pred(sum(n13,succ(n16))),sum(n16,pred(sum(n13,n16))))
| ~ spl3_14
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8903,f776]) ).
fof(f8903,plain,
( sK2 = sum(pred(sum(sK0,succ(n16))),sum(n16,pred(sum(sK0,n16))))
| ~ spl3_38 ),
inference(superposition,[],[f489,f894]) ).
fof(f8902,plain,
( ~ spl3_14
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f8901]) ).
fof(f8901,plain,
( $false
| ~ spl3_14
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f8900,f506]) ).
fof(f8900,plain,
( n16 = sK2
| ~ spl3_14
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8899,f262]) ).
fof(f8899,plain,
( sum(n10,n6) = sK2
| ~ spl3_14
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8898,f36]) ).
fof(f8898,plain,
( sK2 = sum(pred(n11),n6)
| ~ spl3_14
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8897,f338]) ).
fof(f8897,plain,
( sK2 = sum(pred(sum(n13,n19)),n6)
| ~ spl3_14
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8896,f22]) ).
fof(f8896,plain,
( sK2 = sum(pred(sum(n13,succ(n18))),n6)
| ~ spl3_14
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8895,f433]) ).
fof(f433,plain,
n6 = sum(n18,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f8895,plain,
( sK2 = sum(pred(sum(n13,succ(n18))),sum(n18,n9))
| ~ spl3_14
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8894,f35]) ).
fof(f8894,plain,
( sK2 = sum(pred(sum(n13,succ(n18))),sum(n18,pred(n10)))
| ~ spl3_14
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8893,f337]) ).
fof(f8893,plain,
( sK2 = sum(pred(sum(n13,succ(n18))),sum(n18,pred(sum(n13,n18))))
| ~ spl3_14
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8874,f776]) ).
fof(f8874,plain,
( sK2 = sum(pred(sum(sK0,succ(n18))),sum(n18,pred(sum(sK0,n18))))
| ~ spl3_40 ),
inference(superposition,[],[f489,f902]) ).
fof(f8873,plain,
( ~ spl3_14
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f8872]) ).
fof(f8872,plain,
( $false
| ~ spl3_14
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f8871,f509]) ).
fof(f8871,plain,
( n19 = sK2
| ~ spl3_14
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8870,f145]) ).
fof(f8870,plain,
( sum(n4,n15) = sK2
| ~ spl3_14
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8869,f30]) ).
fof(f8869,plain,
( sK2 = sum(pred(n5),n15)
| ~ spl3_14
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8868,f332]) ).
fof(f8868,plain,
( sK2 = sum(pred(sum(n13,n13)),n15)
| ~ spl3_14
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8867,f16]) ).
fof(f8867,plain,
( sK2 = sum(pred(sum(n13,succ(n12))),n15)
| ~ spl3_14
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8866,f301]) ).
fof(f8866,plain,
( sK2 = sum(pred(sum(n13,succ(n12))),sum(n12,n3))
| ~ spl3_14
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8865,f29]) ).
fof(f8865,plain,
( sK2 = sum(pred(sum(n13,succ(n12))),sum(n12,pred(n4)))
| ~ spl3_14
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8864,f331]) ).
fof(f331,plain,
n4 = sum(n13,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f8864,plain,
( sK2 = sum(pred(sum(n13,succ(n12))),sum(n12,pred(sum(n13,n12))))
| ~ spl3_14
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8846,f776]) ).
fof(f8846,plain,
( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
| ~ spl3_34 ),
inference(superposition,[],[f489,f878]) ).
fof(f8845,plain,
( ~ spl3_14
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f8844]) ).
fof(f8844,plain,
( $false
| ~ spl3_14
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f8843,f503]) ).
fof(f8843,plain,
( n13 = sK2
| ~ spl3_14
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8842,f400]) ).
fof(f8842,plain,
( sum(n16,n18) = sK2
| ~ spl3_14
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8841,f42]) ).
fof(f8841,plain,
( sK2 = sum(pred(n17),n18)
| ~ spl3_14
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8840,f323]) ).
fof(f8840,plain,
( sK2 = sum(pred(sum(n13,n4)),n18)
| ~ spl3_14
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8839,f7]) ).
fof(f8839,plain,
( sK2 = sum(pred(sum(n13,succ(n3))),n18)
| ~ spl3_14
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8838,f124]) ).
fof(f8838,plain,
( sK2 = sum(pred(sum(n13,succ(n3))),sum(n3,n15))
| ~ spl3_14
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8837,f41]) ).
fof(f8837,plain,
( sK2 = sum(pred(sum(n13,succ(n3))),sum(n3,pred(n16)))
| ~ spl3_14
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8836,f322]) ).
fof(f8836,plain,
( sK2 = sum(pred(sum(n13,succ(n3))),sum(n3,pred(sum(n13,n3))))
| ~ spl3_14
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8819,f776]) ).
fof(f8819,plain,
( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
| ~ spl3_25 ),
inference(superposition,[],[f489,f842]) ).
fof(f8818,plain,
( ~ spl3_14
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f8817]) ).
fof(f8817,plain,
( $false
| ~ spl3_14
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f8816,f494]) ).
fof(f8816,plain,
( n4 = sK2
| ~ spl3_14
| ~ spl3_29 ),
inference(forward_demodulation,[],[f8815,f471]) ).
fof(f471,plain,
n4 = sum(n20,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f8815,plain,
( sum(n20,n5) = sK2
| ~ spl3_14
| ~ spl3_29 ),
inference(forward_demodulation,[],[f8814,f25]) ).
fof(f8814,plain,
( sK2 = sum(pred(n0),n5)
| ~ spl3_14
| ~ spl3_29 ),
inference(forward_demodulation,[],[f8813,f327]) ).
fof(f8813,plain,
( sK2 = sum(pred(sum(n13,n8)),n5)
| ~ spl3_14
| ~ spl3_29 ),
inference(forward_demodulation,[],[f8812,f11]) ).
fof(f8812,plain,
( sK2 = sum(pred(sum(n13,succ(n7))),n5)
| ~ spl3_14
| ~ spl3_29 ),
inference(forward_demodulation,[],[f8811,f212]) ).
fof(f8811,plain,
( sK2 = sum(pred(sum(n13,succ(n7))),sum(n7,n19))
| ~ spl3_14
| ~ spl3_29 ),
inference(forward_demodulation,[],[f8810,f45]) ).
fof(f8810,plain,
( sK2 = sum(pred(sum(n13,succ(n7))),sum(n7,pred(n20)))
| ~ spl3_14
| ~ spl3_29 ),
inference(forward_demodulation,[],[f8809,f326]) ).
fof(f8809,plain,
( sK2 = sum(pred(sum(n13,succ(n7))),sum(n7,pred(sum(n13,n7))))
| ~ spl3_14
| ~ spl3_29 ),
inference(forward_demodulation,[],[f8791,f776]) ).
fof(f8791,plain,
( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
| ~ spl3_29 ),
inference(superposition,[],[f489,f858]) ).
fof(f8769,plain,
( ~ spl3_9
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f8768]) ).
fof(f8768,plain,
( $false
| ~ spl3_9
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f8767,f505]) ).
fof(f8767,plain,
( n15 = sK2
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8766,f221]) ).
fof(f8766,plain,
( sum(n8,n7) = sK2
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8765,f34]) ).
fof(f8765,plain,
( sK2 = sum(pred(n9),n7)
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8764,f215]) ).
fof(f8764,plain,
( sK2 = sum(pred(sum(n8,n1)),n7)
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8763,f4]) ).
fof(f4,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f3]) ).
fof(f8763,plain,
( sK2 = sum(pred(sum(n8,succ(n0))),n7)
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8762,f53]) ).
fof(f8762,plain,
( sK2 = sum(pred(sum(n8,succ(n0))),sum(n0,n7))
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8761,f33]) ).
fof(f8761,plain,
( sK2 = sum(pred(sum(n8,succ(n0))),sum(n0,pred(n8)))
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8760,f214]) ).
fof(f214,plain,
n8 = sum(n8,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f8760,plain,
( sK2 = sum(pred(sum(n8,succ(n0))),sum(n0,pred(sum(n8,n0))))
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8742,f830]) ).
fof(f830,plain,
( n0 = sK1
| ~ spl3_22 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f828,plain,
( spl3_22
<=> n0 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f8742,plain,
( sK2 = sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1))))
| ~ spl3_9 ),
inference(superposition,[],[f489,f756]) ).
fof(f8741,plain,
( ~ spl3_8
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f8740]) ).
fof(f8740,plain,
( $false
| ~ spl3_8
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f8739,f503]) ).
fof(f8739,plain,
( n13 = sK2
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8738,f199]) ).
fof(f8738,plain,
( sum(n7,n6) = sK2
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8737,f33]) ).
fof(f8737,plain,
( sK2 = sum(pred(n8),n6)
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8736,f194]) ).
fof(f8736,plain,
( sK2 = sum(pred(sum(n7,n1)),n6)
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8735,f4]) ).
fof(f8735,plain,
( sK2 = sum(pred(sum(n7,succ(n0))),n6)
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8734,f52]) ).
fof(f8734,plain,
( sK2 = sum(pred(sum(n7,succ(n0))),sum(n0,n6))
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8733,f32]) ).
fof(f8733,plain,
( sK2 = sum(pred(sum(n7,succ(n0))),sum(n0,pred(n7)))
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8732,f193]) ).
fof(f193,plain,
n7 = sum(n7,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f8732,plain,
( sK2 = sum(pred(sum(n7,succ(n0))),sum(n0,pred(sum(n7,n0))))
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8714,f830]) ).
fof(f8714,plain,
( sK2 = sum(pred(sum(n7,succ(sK1))),sum(sK1,pred(sum(n7,sK1))))
| ~ spl3_8 ),
inference(superposition,[],[f489,f752]) ).
fof(f8713,plain,
( ~ spl3_13
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f8712]) ).
fof(f8712,plain,
( $false
| ~ spl3_13
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f8711,f492]) ).
fof(f8711,plain,
( n2 = sK2
| ~ spl3_13
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8710,f309]) ).
fof(f8710,plain,
( sum(n12,n11) = sK2
| ~ spl3_13
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8709,f38]) ).
fof(f8709,plain,
( sK2 = sum(pred(n13),n11)
| ~ spl3_13
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8708,f299]) ).
fof(f8708,plain,
( sK2 = sum(pred(sum(n12,n1)),n11)
| ~ spl3_13
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8707,f4]) ).
fof(f8707,plain,
( sK2 = sum(pred(sum(n12,succ(n0))),n11)
| ~ spl3_13
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8706,f57]) ).
fof(f8706,plain,
( sK2 = sum(pred(sum(n12,succ(n0))),sum(n0,n11))
| ~ spl3_13
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8705,f37]) ).
fof(f8705,plain,
( sK2 = sum(pred(sum(n12,succ(n0))),sum(n0,pred(n12)))
| ~ spl3_13
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8704,f298]) ).
fof(f8704,plain,
( sK2 = sum(pred(sum(n12,succ(n0))),sum(n0,pred(sum(n12,n0))))
| ~ spl3_13
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8685,f830]) ).
fof(f8685,plain,
( sK2 = sum(pred(sum(n12,succ(sK1))),sum(sK1,pred(sum(n12,sK1))))
| ~ spl3_13 ),
inference(superposition,[],[f489,f772]) ).
fof(f8684,plain,
( ~ spl3_7
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f8683]) ).
fof(f8683,plain,
( $false
| ~ spl3_7
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f8682,f501]) ).
fof(f8682,plain,
( n11 = sK2
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8681,f177]) ).
fof(f8681,plain,
( sum(n6,n5) = sK2
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8680,f32]) ).
fof(f8680,plain,
( sK2 = sum(pred(n7),n5)
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8679,f173]) ).
fof(f8679,plain,
( sK2 = sum(pred(sum(n6,n1)),n5)
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8678,f4]) ).
fof(f8678,plain,
( sK2 = sum(pred(sum(n6,succ(n0))),n5)
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8677,f51]) ).
fof(f8677,plain,
( sK2 = sum(pred(sum(n6,succ(n0))),sum(n0,n5))
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8676,f31]) ).
fof(f8676,plain,
( sK2 = sum(pred(sum(n6,succ(n0))),sum(n0,pred(n6)))
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8675,f172]) ).
fof(f8675,plain,
( sK2 = sum(pred(sum(n6,succ(n0))),sum(n0,pred(sum(n6,n0))))
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8657,f830]) ).
fof(f8657,plain,
( sK2 = sum(pred(sum(n6,succ(sK1))),sum(sK1,pred(sum(n6,sK1))))
| ~ spl3_7 ),
inference(superposition,[],[f489,f748]) ).
fof(f8656,plain,
( ~ spl3_10
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f8655]) ).
fof(f8655,plain,
( $false
| ~ spl3_10
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f8654,f507]) ).
fof(f8654,plain,
( n17 = sK2
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8653,f243]) ).
fof(f8653,plain,
( sum(n9,n8) = sK2
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8652,f35]) ).
fof(f8652,plain,
( sK2 = sum(pred(n10),n8)
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8651,f236]) ).
fof(f8651,plain,
( sK2 = sum(pred(sum(n9,n1)),n8)
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8650,f4]) ).
fof(f8650,plain,
( sK2 = sum(pred(sum(n9,succ(n0))),n8)
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8649,f54]) ).
fof(f8649,plain,
( sK2 = sum(pred(sum(n9,succ(n0))),sum(n0,n8))
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8648,f34]) ).
fof(f8648,plain,
( sK2 = sum(pred(sum(n9,succ(n0))),sum(n0,pred(n9)))
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8647,f235]) ).
fof(f235,plain,
n9 = sum(n9,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f8647,plain,
( sK2 = sum(pred(sum(n9,succ(n0))),sum(n0,pred(sum(n9,n0))))
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8628,f830]) ).
fof(f8628,plain,
( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
| ~ spl3_10 ),
inference(superposition,[],[f489,f760]) ).
fof(f8627,plain,
( ~ spl3_4
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f8626]) ).
fof(f8626,plain,
( $false
| ~ spl3_4
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f8625,f495]) ).
fof(f8625,plain,
( n5 = sK2
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8624,f111]) ).
fof(f8624,plain,
( sum(n3,n2) = sK2
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8623,f29]) ).
fof(f8623,plain,
( sK2 = sum(pred(n4),n2)
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8622,f110]) ).
fof(f8622,plain,
( sK2 = sum(pred(sum(n3,n1)),n2)
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8621,f4]) ).
fof(f8621,plain,
( sK2 = sum(pred(sum(n3,succ(n0))),n2)
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8620,f48]) ).
fof(f8620,plain,
( sK2 = sum(pred(sum(n3,succ(n0))),sum(n0,n2))
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8619,f28]) ).
fof(f8619,plain,
( sK2 = sum(pred(sum(n3,succ(n0))),sum(n0,pred(n3)))
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8618,f109]) ).
fof(f109,plain,
n3 = sum(n3,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f8618,plain,
( sK2 = sum(pred(sum(n3,succ(n0))),sum(n0,pred(sum(n3,n0))))
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8600,f830]) ).
fof(f8600,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f489,f736]) ).
fof(f8599,plain,
( ~ spl3_6
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f8598]) ).
fof(f8598,plain,
( $false
| ~ spl3_6
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f8597,f499]) ).
fof(f8597,plain,
( n9 = sK2
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8596,f155]) ).
fof(f8596,plain,
( sum(n5,n4) = sK2
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8595,f31]) ).
fof(f8595,plain,
( sK2 = sum(pred(n6),n4)
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8594,f152]) ).
fof(f8594,plain,
( sK2 = sum(pred(sum(n5,n1)),n4)
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8593,f4]) ).
fof(f8593,plain,
( sK2 = sum(pred(sum(n5,succ(n0))),n4)
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8592,f50]) ).
fof(f8592,plain,
( sK2 = sum(pred(sum(n5,succ(n0))),sum(n0,n4))
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8591,f30]) ).
fof(f8591,plain,
( sK2 = sum(pred(sum(n5,succ(n0))),sum(n0,pred(n5)))
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8590,f151]) ).
fof(f151,plain,
n5 = sum(n5,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f8590,plain,
( sK2 = sum(pred(sum(n5,succ(n0))),sum(n0,pred(sum(n5,n0))))
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8571,f830]) ).
fof(f8571,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f489,f744]) ).
fof(f8570,plain,
( ~ spl3_1
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f8569]) ).
fof(f8569,plain,
( $false
| ~ spl3_1
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f8568,f510]) ).
fof(f8568,plain,
( n20 = sK2
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8567,f66]) ).
fof(f66,plain,
n20 = sum(n0,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f8567,plain,
( sum(n0,n20) = sK2
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8566,f26]) ).
fof(f8566,plain,
( sK2 = sum(pred(n1),n20)
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8565,f47]) ).
fof(f8565,plain,
( sK2 = sum(pred(sum(n0,n1)),n20)
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8564,f4]) ).
fof(f8564,plain,
( sK2 = sum(pred(sum(n0,succ(n0))),n20)
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8563,f66]) ).
fof(f8563,plain,
( sK2 = sum(pred(sum(n0,succ(n0))),sum(n0,n20))
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8562,f25]) ).
fof(f8562,plain,
( sK2 = sum(pred(sum(n0,succ(n0))),sum(n0,pred(n0)))
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8561,f46]) ).
fof(f46,plain,
n0 = sum(n0,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f8561,plain,
( sK2 = sum(pred(sum(n0,succ(n0))),sum(n0,pred(sum(n0,n0))))
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8542,f830]) ).
fof(f8542,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f489,f724]) ).
fof(f8541,plain,
( ~ spl3_14
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f8540]) ).
fof(f8540,plain,
( $false
| ~ spl3_14
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f8539,f494]) ).
fof(f8539,plain,
( n4 = sK2
| ~ spl3_14
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8538,f331]) ).
fof(f8538,plain,
( sum(n13,n12) = sK2
| ~ spl3_14
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8537,f39]) ).
fof(f8537,plain,
( sK2 = sum(pred(n14),n12)
| ~ spl3_14
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8536,f320]) ).
fof(f8536,plain,
( sK2 = sum(pred(sum(n13,n1)),n12)
| ~ spl3_14
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8535,f4]) ).
fof(f8535,plain,
( sK2 = sum(pred(sum(n13,succ(n0))),n12)
| ~ spl3_14
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8534,f58]) ).
fof(f8534,plain,
( sK2 = sum(pred(sum(n13,succ(n0))),sum(n0,n12))
| ~ spl3_14
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8533,f38]) ).
fof(f8533,plain,
( sK2 = sum(pred(sum(n13,succ(n0))),sum(n0,pred(n13)))
| ~ spl3_14
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8532,f319]) ).
fof(f319,plain,
n13 = sum(n13,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f8532,plain,
( sK2 = sum(pred(sum(n13,succ(n0))),sum(n0,pred(sum(n13,n0))))
| ~ spl3_14
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8512,f830]) ).
fof(f8512,plain,
( sK2 = sum(pred(sum(n13,succ(sK1))),sum(sK1,pred(sum(n13,sK1))))
| ~ spl3_14 ),
inference(superposition,[],[f489,f776]) ).
fof(f8511,plain,
( ~ spl3_11
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f8510]) ).
fof(f8510,plain,
( $false
| ~ spl3_11
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f8509,f509]) ).
fof(f8509,plain,
( n19 = sK2
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8508,f265]) ).
fof(f8508,plain,
( sum(n10,n9) = sK2
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8507,f36]) ).
fof(f8507,plain,
( sK2 = sum(pred(n11),n9)
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8506,f257]) ).
fof(f8506,plain,
( sK2 = sum(pred(sum(n10,n1)),n9)
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8505,f4]) ).
fof(f8505,plain,
( sK2 = sum(pred(sum(n10,succ(n0))),n9)
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8504,f55]) ).
fof(f8504,plain,
( sK2 = sum(pred(sum(n10,succ(n0))),sum(n0,n9))
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8503,f35]) ).
fof(f8503,plain,
( sK2 = sum(pred(sum(n10,succ(n0))),sum(n0,pred(n10)))
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8502,f256]) ).
fof(f8502,plain,
( sK2 = sum(pred(sum(n10,succ(n0))),sum(n0,pred(sum(n10,n0))))
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8483,f830]) ).
fof(f8483,plain,
( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
| ~ spl3_11 ),
inference(superposition,[],[f489,f764]) ).
fof(f8482,plain,
( ~ spl3_12
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f8481]) ).
fof(f8481,plain,
( $false
| ~ spl3_12
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f8480,f490]) ).
fof(f8480,plain,
( n0 = sK2
| ~ spl3_12
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8479,f287]) ).
fof(f8479,plain,
( sum(n11,n10) = sK2
| ~ spl3_12
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8478,f37]) ).
fof(f8478,plain,
( sK2 = sum(pred(n12),n10)
| ~ spl3_12
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8477,f278]) ).
fof(f8477,plain,
( sK2 = sum(pred(sum(n11,n1)),n10)
| ~ spl3_12
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8476,f4]) ).
fof(f8476,plain,
( sK2 = sum(pred(sum(n11,succ(n0))),n10)
| ~ spl3_12
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8475,f56]) ).
fof(f8475,plain,
( sK2 = sum(pred(sum(n11,succ(n0))),sum(n0,n10))
| ~ spl3_12
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8474,f36]) ).
fof(f8474,plain,
( sK2 = sum(pred(sum(n11,succ(n0))),sum(n0,pred(n11)))
| ~ spl3_12
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8473,f277]) ).
fof(f277,plain,
n11 = sum(n11,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f8473,plain,
( sK2 = sum(pred(sum(n11,succ(n0))),sum(n0,pred(sum(n11,n0))))
| ~ spl3_12
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8453,f830]) ).
fof(f8453,plain,
( sK2 = sum(pred(sum(n11,succ(sK1))),sum(sK1,pred(sum(n11,sK1))))
| ~ spl3_12 ),
inference(superposition,[],[f489,f768]) ).
fof(f8452,plain,
( ~ spl3_3
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f8451]) ).
fof(f8451,plain,
( $false
| ~ spl3_3
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f8450,f493]) ).
fof(f8450,plain,
( n3 = sK2
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8449,f89]) ).
fof(f8449,plain,
( sum(n2,n1) = sK2
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8448,f28]) ).
fof(f8448,plain,
( sK2 = sum(pred(n3),n1)
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8447,f89]) ).
fof(f8447,plain,
( sK2 = sum(pred(sum(n2,n1)),n1)
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8446,f4]) ).
fof(f8446,plain,
( sK2 = sum(pred(sum(n2,succ(n0))),n1)
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8445,f47]) ).
fof(f8445,plain,
( sK2 = sum(pred(sum(n2,succ(n0))),sum(n0,n1))
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8444,f27]) ).
fof(f8444,plain,
( sK2 = sum(pred(sum(n2,succ(n0))),sum(n0,pred(n2)))
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8443,f88]) ).
fof(f88,plain,
n2 = sum(n2,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f8443,plain,
( sK2 = sum(pred(sum(n2,succ(n0))),sum(n0,pred(sum(n2,n0))))
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8424,f830]) ).
fof(f8424,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f489,f732]) ).
fof(f8422,plain,
( ~ spl3_5
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f8421]) ).
fof(f8421,plain,
( $false
| ~ spl3_5
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f8420,f497]) ).
fof(f8420,plain,
( n7 = sK2
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8419,f133]) ).
fof(f8419,plain,
( sum(n4,n3) = sK2
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8418,f30]) ).
fof(f8418,plain,
( sK2 = sum(pred(n5),n3)
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8417,f131]) ).
fof(f8417,plain,
( sK2 = sum(pred(sum(n4,n1)),n3)
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8416,f4]) ).
fof(f8416,plain,
( sK2 = sum(pred(sum(n4,succ(n0))),n3)
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8415,f49]) ).
fof(f8415,plain,
( sK2 = sum(pred(sum(n4,succ(n0))),sum(n0,n3))
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8414,f29]) ).
fof(f8414,plain,
( sK2 = sum(pred(sum(n4,succ(n0))),sum(n0,pred(n4)))
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8413,f130]) ).
fof(f8413,plain,
( sK2 = sum(pred(sum(n4,succ(n0))),sum(n0,pred(sum(n4,n0))))
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8395,f740]) ).
fof(f8395,plain,
( sK2 = sum(pred(sum(sK0,succ(n0))),sum(n0,pred(sum(sK0,n0))))
| ~ spl3_22 ),
inference(superposition,[],[f489,f830]) ).
fof(f8373,plain,
( ~ spl3_21
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f8372]) ).
fof(f8372,plain,
( $false
| ~ spl3_21
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f8371,f499]) ).
fof(f8371,plain,
( n9 = sK2
| ~ spl3_21
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8370,f416]) ).
fof(f416,plain,
n9 = sum(n17,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f8370,plain,
( sum(n17,n13) = sK2
| ~ spl3_21
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8369,f43]) ).
fof(f8369,plain,
( sK2 = sum(pred(n18),n13)
| ~ spl3_21
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8368,f485]) ).
fof(f485,plain,
n18 = sum(n20,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f8368,plain,
( sK2 = sum(pred(sum(n20,n19)),n13)
| ~ spl3_21
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8367,f22]) ).
fof(f8367,plain,
( sK2 = sum(pred(sum(n20,succ(n18))),n13)
| ~ spl3_21
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8366,f440]) ).
fof(f440,plain,
n13 = sum(n18,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f8366,plain,
( sK2 = sum(pred(sum(n20,succ(n18))),sum(n18,n16))
| ~ spl3_21
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8365,f42]) ).
fof(f8365,plain,
( sK2 = sum(pred(sum(n20,succ(n18))),sum(n18,pred(n17)))
| ~ spl3_21
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8364,f484]) ).
fof(f484,plain,
n17 = sum(n20,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f8364,plain,
( sK2 = sum(pred(sum(n20,succ(n18))),sum(n18,pred(sum(n20,n18))))
| ~ spl3_21
| ~ spl3_40 ),
inference(forward_demodulation,[],[f8345,f804]) ).
fof(f804,plain,
( n20 = sK0
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f802,plain,
( spl3_21
<=> n20 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f8345,plain,
( sK2 = sum(pred(sum(sK0,succ(n18))),sum(n18,pred(sum(sK0,n18))))
| ~ spl3_40 ),
inference(superposition,[],[f489,f902]) ).
fof(f8344,plain,
( ~ spl3_21
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f8343]) ).
fof(f8343,plain,
( $false
| ~ spl3_21
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f8342,f496]) ).
fof(f8342,plain,
( n6 = sK2
| ~ spl3_21
| ~ spl3_32 ),
inference(forward_demodulation,[],[f8341,f253]) ).
fof(f8341,plain,
( sum(n9,n18) = sK2
| ~ spl3_21
| ~ spl3_32 ),
inference(forward_demodulation,[],[f8340,f35]) ).
fof(f8340,plain,
( sK2 = sum(pred(n10),n18)
| ~ spl3_21
| ~ spl3_32 ),
inference(forward_demodulation,[],[f8339,f477]) ).
fof(f477,plain,
n10 = sum(n20,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f8339,plain,
( sK2 = sum(pred(sum(n20,n11)),n18)
| ~ spl3_21
| ~ spl3_32 ),
inference(forward_demodulation,[],[f8338,f14]) ).
fof(f8338,plain,
( sK2 = sum(pred(sum(n20,succ(n10))),n18)
| ~ spl3_21
| ~ spl3_32 ),
inference(forward_demodulation,[],[f8337,f264]) ).
fof(f8337,plain,
( sK2 = sum(pred(sum(n20,succ(n10))),sum(n10,n8))
| ~ spl3_21
| ~ spl3_32 ),
inference(forward_demodulation,[],[f8336,f34]) ).
fof(f8336,plain,
( sK2 = sum(pred(sum(n20,succ(n10))),sum(n10,pred(n9)))
| ~ spl3_21
| ~ spl3_32 ),
inference(forward_demodulation,[],[f8335,f476]) ).
fof(f8335,plain,
( sK2 = sum(pred(sum(n20,succ(n10))),sum(n10,pred(sum(n20,n10))))
| ~ spl3_21
| ~ spl3_32 ),
inference(forward_demodulation,[],[f8318,f804]) ).
fof(f8318,plain,
( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
| ~ spl3_32 ),
inference(superposition,[],[f489,f870]) ).
fof(f8317,plain,
( ~ spl3_21
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f8316]) ).
fof(f8316,plain,
( $false
| ~ spl3_21
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f8315,f505]) ).
fof(f8315,plain,
( n15 = sK2
| ~ spl3_21
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8314,f161]) ).
fof(f8314,plain,
( sum(n5,n10) = sK2
| ~ spl3_21
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8313,f31]) ).
fof(f8313,plain,
( sK2 = sum(pred(n6),n10)
| ~ spl3_21
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8312,f473]) ).
fof(f473,plain,
n6 = sum(n20,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f8312,plain,
( sK2 = sum(pred(sum(n20,n7)),n10)
| ~ spl3_21
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8311,f10]) ).
fof(f8311,plain,
( sK2 = sum(pred(sum(n20,succ(n6))),n10)
| ~ spl3_21
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8310,f176]) ).
fof(f8310,plain,
( sK2 = sum(pred(sum(n20,succ(n6))),sum(n6,n4))
| ~ spl3_21
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8309,f30]) ).
fof(f8309,plain,
( sK2 = sum(pred(sum(n20,succ(n6))),sum(n6,pred(n5)))
| ~ spl3_21
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8308,f472]) ).
fof(f8308,plain,
( sK2 = sum(pred(sum(n20,succ(n6))),sum(n6,pred(sum(n20,n6))))
| ~ spl3_21
| ~ spl3_28 ),
inference(forward_demodulation,[],[f8292,f804]) ).
fof(f8292,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_28 ),
inference(superposition,[],[f489,f854]) ).
fof(f8291,plain,
( ~ spl3_21
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f8290]) ).
fof(f8290,plain,
( $false
| ~ spl3_21
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f8289,f493]) ).
fof(f8289,plain,
( n3 = sK2
| ~ spl3_21
| ~ spl3_24 ),
inference(forward_demodulation,[],[f8288,f69]) ).
fof(f8288,plain,
( sum(n1,n2) = sK2
| ~ spl3_21
| ~ spl3_24 ),
inference(forward_demodulation,[],[f8287,f27]) ).
fof(f8287,plain,
( sK2 = sum(pred(n2),n2)
| ~ spl3_21
| ~ spl3_24 ),
inference(forward_demodulation,[],[f8286,f469]) ).
fof(f469,plain,
n2 = sum(n20,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f8286,plain,
( sK2 = sum(pred(sum(n20,n3)),n2)
| ~ spl3_21
| ~ spl3_24 ),
inference(forward_demodulation,[],[f8285,f6]) ).
fof(f8285,plain,
( sK2 = sum(pred(sum(n20,succ(n2))),n2)
| ~ spl3_21
| ~ spl3_24 ),
inference(forward_demodulation,[],[f8284,f88]) ).
fof(f8284,plain,
( sK2 = sum(pred(sum(n20,succ(n2))),sum(n2,n0))
| ~ spl3_21
| ~ spl3_24 ),
inference(forward_demodulation,[],[f8283,f26]) ).
fof(f8283,plain,
( sK2 = sum(pred(sum(n20,succ(n2))),sum(n2,pred(n1)))
| ~ spl3_21
| ~ spl3_24 ),
inference(forward_demodulation,[],[f8282,f468]) ).
fof(f468,plain,
n1 = sum(n20,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f8282,plain,
( sK2 = sum(pred(sum(n20,succ(n2))),sum(n2,pred(sum(n20,n2))))
| ~ spl3_21
| ~ spl3_24 ),
inference(forward_demodulation,[],[f8266,f804]) ).
fof(f8266,plain,
( sK2 = sum(pred(sum(sK0,succ(n2))),sum(n2,pred(sum(sK0,n2))))
| ~ spl3_24 ),
inference(superposition,[],[f489,f838]) ).
fof(f8265,plain,
( ~ spl3_21
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f8264]) ).
fof(f8264,plain,
( $false
| ~ spl3_21
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f8263,f490]) ).
fof(f8263,plain,
( n0 = sK2
| ~ spl3_21
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8262,f207]) ).
fof(f8262,plain,
( sum(n7,n14) = sK2
| ~ spl3_21
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8261,f33]) ).
fof(f8261,plain,
( sK2 = sum(pred(n8),n14)
| ~ spl3_21
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8260,f475]) ).
fof(f475,plain,
n8 = sum(n20,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f8260,plain,
( sK2 = sum(pred(sum(n20,n9)),n14)
| ~ spl3_21
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8259,f12]) ).
fof(f8259,plain,
( sK2 = sum(pred(sum(n20,succ(n8))),n14)
| ~ spl3_21
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8258,f220]) ).
fof(f8258,plain,
( sK2 = sum(pred(sum(n20,succ(n8))),sum(n8,n6))
| ~ spl3_21
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8257,f32]) ).
fof(f8257,plain,
( sK2 = sum(pred(sum(n20,succ(n8))),sum(n8,pred(n7)))
| ~ spl3_21
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8256,f474]) ).
fof(f8256,plain,
( sK2 = sum(pred(sum(n20,succ(n8))),sum(n8,pred(sum(n20,n8))))
| ~ spl3_21
| ~ spl3_30 ),
inference(forward_demodulation,[],[f8239,f804]) ).
fof(f8239,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_30 ),
inference(superposition,[],[f489,f862]) ).
fof(f8238,plain,
( ~ spl3_21
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f8237]) ).
fof(f8237,plain,
( $false
| ~ spl3_21
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f8236,f508]) ).
fof(f8236,plain,
( n18 = sK2
| ~ spl3_21
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8235,f485]) ).
fof(f8235,plain,
( sum(n20,n19) = sK2
| ~ spl3_21
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8234,f25]) ).
fof(f8234,plain,
( sK2 = sum(pred(n0),n19)
| ~ spl3_21
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8233,f467]) ).
fof(f467,plain,
n0 = sum(n20,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f8233,plain,
( sK2 = sum(pred(sum(n20,n1)),n19)
| ~ spl3_21
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8232,f4]) ).
fof(f8232,plain,
( sK2 = sum(pred(sum(n20,succ(n0))),n19)
| ~ spl3_21
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8231,f65]) ).
fof(f8231,plain,
( sK2 = sum(pred(sum(n20,succ(n0))),sum(n0,n19))
| ~ spl3_21
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8230,f45]) ).
fof(f8230,plain,
( sK2 = sum(pred(sum(n20,succ(n0))),sum(n0,pred(n20)))
| ~ spl3_21
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8229,f466]) ).
fof(f466,plain,
n20 = sum(n20,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f8229,plain,
( sK2 = sum(pred(sum(n20,succ(n0))),sum(n0,pred(sum(n20,n0))))
| ~ spl3_21
| ~ spl3_22 ),
inference(forward_demodulation,[],[f8212,f804]) ).
fof(f8212,plain,
( sK2 = sum(pred(sum(sK0,succ(n0))),sum(n0,pred(sum(sK0,n0))))
| ~ spl3_22 ),
inference(superposition,[],[f489,f830]) ).
fof(f8211,plain,
( ~ spl3_21
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f8210]) ).
fof(f8210,plain,
( $false
| ~ spl3_21
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f8209,f502]) ).
fof(f8209,plain,
( n12 = sK2
| ~ spl3_21
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8208,f278]) ).
fof(f8208,plain,
( sum(n11,n1) = sK2
| ~ spl3_21
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8207,f37]) ).
fof(f8207,plain,
( sK2 = sum(pred(n12),n1)
| ~ spl3_21
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8206,f479]) ).
fof(f479,plain,
n12 = sum(n20,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f8206,plain,
( sK2 = sum(pred(sum(n20,n13)),n1)
| ~ spl3_21
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8205,f16]) ).
fof(f8205,plain,
( sK2 = sum(pred(sum(n20,succ(n12))),n1)
| ~ spl3_21
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8204,f308]) ).
fof(f8204,plain,
( sK2 = sum(pred(sum(n20,succ(n12))),sum(n12,n10))
| ~ spl3_21
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8203,f36]) ).
fof(f8203,plain,
( sK2 = sum(pred(sum(n20,succ(n12))),sum(n12,pred(n11)))
| ~ spl3_21
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8202,f478]) ).
fof(f8202,plain,
( sK2 = sum(pred(sum(n20,succ(n12))),sum(n12,pred(sum(n20,n12))))
| ~ spl3_21
| ~ spl3_34 ),
inference(forward_demodulation,[],[f8184,f804]) ).
fof(f8184,plain,
( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
| ~ spl3_34 ),
inference(superposition,[],[f489,f878]) ).
fof(f8183,plain,
( ~ spl3_21
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f8182]) ).
fof(f8182,plain,
( $false
| ~ spl3_21
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f8181,f502]) ).
fof(f8181,plain,
( n12 = sK2
| ~ spl3_21
| ~ spl3_27 ),
inference(forward_demodulation,[],[f8180,f138]) ).
fof(f8180,plain,
( sum(n4,n8) = sK2
| ~ spl3_21
| ~ spl3_27 ),
inference(forward_demodulation,[],[f8179,f30]) ).
fof(f8179,plain,
( sK2 = sum(pred(n5),n8)
| ~ spl3_21
| ~ spl3_27 ),
inference(forward_demodulation,[],[f8178,f472]) ).
fof(f8178,plain,
( sK2 = sum(pred(sum(n20,n6)),n8)
| ~ spl3_21
| ~ spl3_27 ),
inference(forward_demodulation,[],[f8177,f9]) ).
fof(f8177,plain,
( sK2 = sum(pred(sum(n20,succ(n5))),n8)
| ~ spl3_21
| ~ spl3_27 ),
inference(forward_demodulation,[],[f8176,f154]) ).
fof(f8176,plain,
( sK2 = sum(pred(sum(n20,succ(n5))),sum(n5,n3))
| ~ spl3_21
| ~ spl3_27 ),
inference(forward_demodulation,[],[f8175,f29]) ).
fof(f8175,plain,
( sK2 = sum(pred(sum(n20,succ(n5))),sum(n5,pred(n4)))
| ~ spl3_21
| ~ spl3_27 ),
inference(forward_demodulation,[],[f8174,f471]) ).
fof(f8174,plain,
( sK2 = sum(pred(sum(n20,succ(n5))),sum(n5,pred(sum(n20,n5))))
| ~ spl3_21
| ~ spl3_27 ),
inference(forward_demodulation,[],[f8156,f804]) ).
fof(f8156,plain,
( sK2 = sum(pred(sum(sK0,succ(n5))),sum(n5,pred(sum(sK0,n5))))
| ~ spl3_27 ),
inference(superposition,[],[f489,f850]) ).
fof(f8155,plain,
( ~ spl3_21
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f8154]) ).
fof(f8154,plain,
( $false
| ~ spl3_21
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f8153,f496]) ).
fof(f8153,plain,
( n6 = sK2
| ~ spl3_21
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8152,f92]) ).
fof(f8152,plain,
( sum(n2,n4) = sK2
| ~ spl3_21
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8151,f28]) ).
fof(f8151,plain,
( sK2 = sum(pred(n3),n4)
| ~ spl3_21
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8150,f470]) ).
fof(f470,plain,
n3 = sum(n20,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f8150,plain,
( sK2 = sum(pred(sum(n20,n4)),n4)
| ~ spl3_21
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8149,f7]) ).
fof(f8149,plain,
( sK2 = sum(pred(sum(n20,succ(n3))),n4)
| ~ spl3_21
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8148,f110]) ).
fof(f8148,plain,
( sK2 = sum(pred(sum(n20,succ(n3))),sum(n3,n1))
| ~ spl3_21
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8147,f27]) ).
fof(f8147,plain,
( sK2 = sum(pred(sum(n20,succ(n3))),sum(n3,pred(n2)))
| ~ spl3_21
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8146,f469]) ).
fof(f8146,plain,
( sK2 = sum(pred(sum(n20,succ(n3))),sum(n3,pred(sum(n20,n3))))
| ~ spl3_21
| ~ spl3_25 ),
inference(forward_demodulation,[],[f8128,f804]) ).
fof(f8128,plain,
( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
| ~ spl3_25 ),
inference(superposition,[],[f489,f842]) ).
fof(f8127,plain,
( ~ spl3_21
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f8126]) ).
fof(f8126,plain,
( $false
| ~ spl3_21
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f8125,f493]) ).
fof(f8125,plain,
( n3 = sK2
| ~ spl3_21
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8124,f370]) ).
fof(f370,plain,
n3 = sum(n15,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f8124,plain,
( sum(n15,n9) = sK2
| ~ spl3_21
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8123,f41]) ).
fof(f8123,plain,
( sK2 = sum(pred(n16),n9)
| ~ spl3_21
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8122,f483]) ).
fof(f483,plain,
n16 = sum(n20,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f8122,plain,
( sK2 = sum(pred(sum(n20,n17)),n9)
| ~ spl3_21
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8121,f20]) ).
fof(f8121,plain,
( sK2 = sum(pred(sum(n20,succ(n16))),n9)
| ~ spl3_21
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8120,f396]) ).
fof(f396,plain,
n9 = sum(n16,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f8120,plain,
( sK2 = sum(pred(sum(n20,succ(n16))),sum(n16,n14))
| ~ spl3_21
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8119,f40]) ).
fof(f8119,plain,
( sK2 = sum(pred(sum(n20,succ(n16))),sum(n16,pred(n15)))
| ~ spl3_21
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8118,f482]) ).
fof(f8118,plain,
( sK2 = sum(pred(sum(n20,succ(n16))),sum(n16,pred(sum(n20,n16))))
| ~ spl3_21
| ~ spl3_38 ),
inference(forward_demodulation,[],[f8099,f804]) ).
fof(f8099,plain,
( sK2 = sum(pred(sum(sK0,succ(n16))),sum(n16,pred(sum(sK0,n16))))
| ~ spl3_38 ),
inference(superposition,[],[f489,f894]) ).
fof(f8098,plain,
( ~ spl3_21
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f8097]) ).
fof(f8097,plain,
( $false
| ~ spl3_21
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f8096,f490]) ).
fof(f8096,plain,
( n0 = sK2
| ~ spl3_21
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8095,f46]) ).
fof(f8095,plain,
( sum(n0,n0) = sK2
| ~ spl3_21
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8094,f26]) ).
fof(f8094,plain,
( sK2 = sum(pred(n1),n0)
| ~ spl3_21
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8093,f468]) ).
fof(f8093,plain,
( sK2 = sum(pred(sum(n20,n2)),n0)
| ~ spl3_21
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8092,f5]) ).
fof(f8092,plain,
( sK2 = sum(pred(sum(n20,succ(n1))),n0)
| ~ spl3_21
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8091,f87]) ).
fof(f87,plain,
n0 = sum(n1,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f8091,plain,
( sK2 = sum(pred(sum(n20,succ(n1))),sum(n1,n20))
| ~ spl3_21
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8090,f25]) ).
fof(f8090,plain,
( sK2 = sum(pred(sum(n20,succ(n1))),sum(n1,pred(n0)))
| ~ spl3_21
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8089,f467]) ).
fof(f8089,plain,
( sK2 = sum(pred(sum(n20,succ(n1))),sum(n1,pred(sum(n20,n1))))
| ~ spl3_21
| ~ spl3_23 ),
inference(forward_demodulation,[],[f8071,f804]) ).
fof(f8071,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_23 ),
inference(superposition,[],[f489,f834]) ).
fof(f8070,plain,
( ~ spl3_21
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f8069]) ).
fof(f8069,plain,
( $false
| ~ spl3_21
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f8068,f508]) ).
fof(f8068,plain,
( n18 = sK2
| ~ spl3_21
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8067,f324]) ).
fof(f8067,plain,
( sum(n13,n5) = sK2
| ~ spl3_21
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8066,f39]) ).
fof(f8066,plain,
( sK2 = sum(pred(n14),n5)
| ~ spl3_21
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8065,f481]) ).
fof(f481,plain,
n14 = sum(n20,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f8065,plain,
( sK2 = sum(pred(sum(n20,n15)),n5)
| ~ spl3_21
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8064,f18]) ).
fof(f8064,plain,
( sK2 = sum(pred(sum(n20,succ(n14))),n5)
| ~ spl3_21
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8063,f352]) ).
fof(f352,plain,
n5 = sum(n14,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f8063,plain,
( sK2 = sum(pred(sum(n20,succ(n14))),sum(n14,n12))
| ~ spl3_21
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8062,f38]) ).
fof(f8062,plain,
( sK2 = sum(pred(sum(n20,succ(n14))),sum(n14,pred(n13)))
| ~ spl3_21
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8061,f480]) ).
fof(f8061,plain,
( sK2 = sum(pred(sum(n20,succ(n14))),sum(n14,pred(sum(n20,n14))))
| ~ spl3_21
| ~ spl3_36 ),
inference(forward_demodulation,[],[f8042,f804]) ).
fof(f8042,plain,
( sK2 = sum(pred(sum(sK0,succ(n14))),sum(n14,pred(sum(sK0,n14))))
| ~ spl3_36 ),
inference(superposition,[],[f489,f886]) ).
fof(f8041,plain,
( ~ spl3_21
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f8040]) ).
fof(f8040,plain,
( $false
| ~ spl3_21
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f8039,f499]) ).
fof(f8039,plain,
( n9 = sK2
| ~ spl3_21
| ~ spl3_26 ),
inference(forward_demodulation,[],[f8038,f115]) ).
fof(f8038,plain,
( sum(n3,n6) = sK2
| ~ spl3_21
| ~ spl3_26 ),
inference(forward_demodulation,[],[f8037,f29]) ).
fof(f8037,plain,
( sK2 = sum(pred(n4),n6)
| ~ spl3_21
| ~ spl3_26 ),
inference(forward_demodulation,[],[f8036,f471]) ).
fof(f8036,plain,
( sK2 = sum(pred(sum(n20,n5)),n6)
| ~ spl3_21
| ~ spl3_26 ),
inference(forward_demodulation,[],[f8035,f8]) ).
fof(f8035,plain,
( sK2 = sum(pred(sum(n20,succ(n4))),n6)
| ~ spl3_21
| ~ spl3_26 ),
inference(forward_demodulation,[],[f8034,f132]) ).
fof(f8034,plain,
( sK2 = sum(pred(sum(n20,succ(n4))),sum(n4,n2))
| ~ spl3_21
| ~ spl3_26 ),
inference(forward_demodulation,[],[f8033,f28]) ).
fof(f8033,plain,
( sK2 = sum(pred(sum(n20,succ(n4))),sum(n4,pred(n3)))
| ~ spl3_21
| ~ spl3_26 ),
inference(forward_demodulation,[],[f8032,f470]) ).
fof(f8032,plain,
( sK2 = sum(pred(sum(n20,succ(n4))),sum(n4,pred(sum(n20,n4))))
| ~ spl3_21
| ~ spl3_26 ),
inference(forward_demodulation,[],[f8014,f804]) ).
fof(f8014,plain,
( sK2 = sum(pred(sum(sK0,succ(n4))),sum(n4,pred(sum(sK0,n4))))
| ~ spl3_26 ),
inference(superposition,[],[f489,f846]) ).
fof(f8013,plain,
( ~ spl3_21
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f8012]) ).
fof(f8012,plain,
( $false
| ~ spl3_21
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f8011,f508]) ).
fof(f8011,plain,
( n18 = sK2
| ~ spl3_21
| ~ spl3_29 ),
inference(forward_demodulation,[],[f8010,f184]) ).
fof(f8010,plain,
( sum(n6,n12) = sK2
| ~ spl3_21
| ~ spl3_29 ),
inference(forward_demodulation,[],[f8009,f32]) ).
fof(f8009,plain,
( sK2 = sum(pred(n7),n12)
| ~ spl3_21
| ~ spl3_29 ),
inference(forward_demodulation,[],[f8008,f474]) ).
fof(f8008,plain,
( sK2 = sum(pred(sum(n20,n8)),n12)
| ~ spl3_21
| ~ spl3_29 ),
inference(forward_demodulation,[],[f8007,f11]) ).
fof(f8007,plain,
( sK2 = sum(pred(sum(n20,succ(n7))),n12)
| ~ spl3_21
| ~ spl3_29 ),
inference(forward_demodulation,[],[f8006,f198]) ).
fof(f8006,plain,
( sK2 = sum(pred(sum(n20,succ(n7))),sum(n7,n5))
| ~ spl3_21
| ~ spl3_29 ),
inference(forward_demodulation,[],[f8005,f31]) ).
fof(f8005,plain,
( sK2 = sum(pred(sum(n20,succ(n7))),sum(n7,pred(n6)))
| ~ spl3_21
| ~ spl3_29 ),
inference(forward_demodulation,[],[f8004,f473]) ).
fof(f8004,plain,
( sK2 = sum(pred(sum(n20,succ(n7))),sum(n7,pred(sum(n20,n7))))
| ~ spl3_21
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7985,f804]) ).
fof(f7985,plain,
( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
| ~ spl3_29 ),
inference(superposition,[],[f489,f858]) ).
fof(f7963,plain,
( ~ spl3_10
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f7962]) ).
fof(f7962,plain,
( $false
| ~ spl3_10
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f7961,f501]) ).
fof(f7961,plain,
( n11 = sK2
| ~ spl3_10
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7960,f197]) ).
fof(f7960,plain,
( sum(n7,n4) = sK2
| ~ spl3_10
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7959,f33]) ).
fof(f7959,plain,
( sK2 = sum(pred(n8),n4)
| ~ spl3_10
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7958,f255]) ).
fof(f255,plain,
n8 = sum(n9,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f7958,plain,
( sK2 = sum(pred(sum(n9,n20)),n4)
| ~ spl3_10
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7957,f23]) ).
fof(f23,plain,
succ(n19) = n20,
inference(cnf_transformation,[],[f3]) ).
fof(f7957,plain,
( sK2 = sum(pred(sum(n9,succ(n19))),n4)
| ~ spl3_10
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7956,f451]) ).
fof(f451,plain,
n4 = sum(n19,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f7956,plain,
( sK2 = sum(pred(sum(n9,succ(n19))),sum(n19,n6))
| ~ spl3_10
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7955,f32]) ).
fof(f7955,plain,
( sK2 = sum(pred(sum(n9,succ(n19))),sum(n19,pred(n7)))
| ~ spl3_10
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7954,f254]) ).
fof(f7954,plain,
( sK2 = sum(pred(sum(n9,succ(n19))),sum(n19,pred(sum(n9,n19))))
| ~ spl3_10
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7936,f906]) ).
fof(f906,plain,
( n19 = sK1
| ~ spl3_41 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f904,plain,
( spl3_41
<=> n19 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_41])]) ).
fof(f7936,plain,
( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
| ~ spl3_10 ),
inference(superposition,[],[f489,f760]) ).
fof(f7935,plain,
( ~ spl3_12
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f7934]) ).
fof(f7934,plain,
( $false
| ~ spl3_12
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f7933,f505]) ).
fof(f7933,plain,
( n15 = sK2
| ~ spl3_12
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7932,f241]) ).
fof(f7932,plain,
( sum(n9,n6) = sK2
| ~ spl3_12
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7931,f35]) ).
fof(f7931,plain,
( sK2 = sum(pred(n10),n6)
| ~ spl3_12
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7930,f297]) ).
fof(f297,plain,
n10 = sum(n11,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f7930,plain,
( sK2 = sum(pred(sum(n11,n20)),n6)
| ~ spl3_12
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7929,f23]) ).
fof(f7929,plain,
( sK2 = sum(pred(sum(n11,succ(n19))),n6)
| ~ spl3_12
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7928,f453]) ).
fof(f453,plain,
n6 = sum(n19,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f7928,plain,
( sK2 = sum(pred(sum(n11,succ(n19))),sum(n19,n8))
| ~ spl3_12
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7927,f34]) ).
fof(f7927,plain,
( sK2 = sum(pred(sum(n11,succ(n19))),sum(n19,pred(n9)))
| ~ spl3_12
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7926,f296]) ).
fof(f7926,plain,
( sK2 = sum(pred(sum(n11,succ(n19))),sum(n19,pred(sum(n11,n19))))
| ~ spl3_12
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7907,f906]) ).
fof(f7907,plain,
( sK2 = sum(pred(sum(n11,succ(sK1))),sum(sK1,pred(sum(n11,sK1))))
| ~ spl3_12 ),
inference(superposition,[],[f489,f768]) ).
fof(f7906,plain,
( ~ spl3_9
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f7905]) ).
fof(f7905,plain,
( $false
| ~ spl3_9
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f7904,f499]) ).
fof(f7904,plain,
( n9 = sK2
| ~ spl3_9
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7903,f175]) ).
fof(f7903,plain,
( sum(n6,n3) = sK2
| ~ spl3_9
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7902,f32]) ).
fof(f7902,plain,
( sK2 = sum(pred(n7),n3)
| ~ spl3_9
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7901,f234]) ).
fof(f7901,plain,
( sK2 = sum(pred(sum(n8,n20)),n3)
| ~ spl3_9
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7900,f23]) ).
fof(f7900,plain,
( sK2 = sum(pred(sum(n8,succ(n19))),n3)
| ~ spl3_9
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7899,f450]) ).
fof(f7899,plain,
( sK2 = sum(pred(sum(n8,succ(n19))),sum(n19,n5))
| ~ spl3_9
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7898,f31]) ).
fof(f7898,plain,
( sK2 = sum(pred(sum(n8,succ(n19))),sum(n19,pred(n6)))
| ~ spl3_9
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7897,f233]) ).
fof(f7897,plain,
( sK2 = sum(pred(sum(n8,succ(n19))),sum(n19,pred(sum(n8,n19))))
| ~ spl3_9
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7878,f906]) ).
fof(f7878,plain,
( sK2 = sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1))))
| ~ spl3_9 ),
inference(superposition,[],[f489,f756]) ).
fof(f7877,plain,
( ~ spl3_8
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f7876]) ).
fof(f7876,plain,
( $false
| ~ spl3_8
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f7875,f497]) ).
fof(f7875,plain,
( n7 = sK2
| ~ spl3_8
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7874,f153]) ).
fof(f7874,plain,
( sum(n5,n2) = sK2
| ~ spl3_8
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7873,f31]) ).
fof(f7873,plain,
( sK2 = sum(pred(n6),n2)
| ~ spl3_8
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7872,f213]) ).
fof(f213,plain,
n6 = sum(n7,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f7872,plain,
( sK2 = sum(pred(sum(n7,n20)),n2)
| ~ spl3_8
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7871,f23]) ).
fof(f7871,plain,
( sK2 = sum(pred(sum(n7,succ(n19))),n2)
| ~ spl3_8
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7870,f449]) ).
fof(f7870,plain,
( sK2 = sum(pred(sum(n7,succ(n19))),sum(n19,n4))
| ~ spl3_8
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7869,f30]) ).
fof(f7869,plain,
( sK2 = sum(pred(sum(n7,succ(n19))),sum(n19,pred(n5)))
| ~ spl3_8
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7868,f212]) ).
fof(f7868,plain,
( sK2 = sum(pred(sum(n7,succ(n19))),sum(n19,pred(sum(n7,n19))))
| ~ spl3_8
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7849,f906]) ).
fof(f7849,plain,
( sK2 = sum(pred(sum(n7,succ(sK1))),sum(sK1,pred(sum(n7,sK1))))
| ~ spl3_8 ),
inference(superposition,[],[f489,f752]) ).
fof(f7848,plain,
( ~ spl3_4
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f7847]) ).
fof(f7847,plain,
( $false
| ~ spl3_4
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f7846,f510]) ).
fof(f7846,plain,
( n20 = sK2
| ~ spl3_4
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7845,f86]) ).
fof(f86,plain,
n20 = sum(n1,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f7845,plain,
( sum(n1,n19) = sK2
| ~ spl3_4
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7844,f27]) ).
fof(f7844,plain,
( sK2 = sum(pred(n2),n19)
| ~ spl3_4
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7843,f129]) ).
fof(f7843,plain,
( sK2 = sum(pred(sum(n3,n20)),n19)
| ~ spl3_4
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7842,f23]) ).
fof(f7842,plain,
( sK2 = sum(pred(sum(n3,succ(n19))),n19)
| ~ spl3_4
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7841,f445]) ).
fof(f445,plain,
n19 = sum(n19,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f7841,plain,
( sK2 = sum(pred(sum(n3,succ(n19))),sum(n19,n0))
| ~ spl3_4
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7840,f26]) ).
fof(f7840,plain,
( sK2 = sum(pred(sum(n3,succ(n19))),sum(n19,pred(n1)))
| ~ spl3_4
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7839,f128]) ).
fof(f7839,plain,
( sK2 = sum(pred(sum(n3,succ(n19))),sum(n19,pred(sum(n3,n19))))
| ~ spl3_4
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7821,f906]) ).
fof(f7821,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f489,f736]) ).
fof(f7820,plain,
( ~ spl3_7
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f7819]) ).
fof(f7819,plain,
( $false
| ~ spl3_7
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f7818,f495]) ).
fof(f7818,plain,
( n5 = sK2
| ~ spl3_7
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7817,f131]) ).
fof(f7817,plain,
( sum(n4,n1) = sK2
| ~ spl3_7
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7816,f30]) ).
fof(f7816,plain,
( sK2 = sum(pred(n5),n1)
| ~ spl3_7
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7815,f192]) ).
fof(f192,plain,
n5 = sum(n6,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f7815,plain,
( sK2 = sum(pred(sum(n6,n20)),n1)
| ~ spl3_7
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7814,f23]) ).
fof(f7814,plain,
( sK2 = sum(pred(sum(n6,succ(n19))),n1)
| ~ spl3_7
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7813,f448]) ).
fof(f7813,plain,
( sK2 = sum(pred(sum(n6,succ(n19))),sum(n19,n3))
| ~ spl3_7
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7812,f29]) ).
fof(f7812,plain,
( sK2 = sum(pred(sum(n6,succ(n19))),sum(n19,pred(n4)))
| ~ spl3_7
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7811,f191]) ).
fof(f7811,plain,
( sK2 = sum(pred(sum(n6,succ(n19))),sum(n19,pred(sum(n6,n19))))
| ~ spl3_7
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7792,f906]) ).
fof(f7792,plain,
( sK2 = sum(pred(sum(n6,succ(sK1))),sum(sK1,pred(sum(n6,sK1))))
| ~ spl3_7 ),
inference(superposition,[],[f489,f748]) ).
fof(f7791,plain,
( ~ spl3_6
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f7790]) ).
fof(f7790,plain,
( $false
| ~ spl3_6
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f7789,f493]) ).
fof(f7789,plain,
( n3 = sK2
| ~ spl3_6
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7788,f109]) ).
fof(f7788,plain,
( sum(n3,n0) = sK2
| ~ spl3_6
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7787,f29]) ).
fof(f7787,plain,
( sK2 = sum(pred(n4),n0)
| ~ spl3_6
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7786,f171]) ).
fof(f7786,plain,
( sK2 = sum(pred(sum(n5,n20)),n0)
| ~ spl3_6
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7785,f23]) ).
fof(f7785,plain,
( sK2 = sum(pred(sum(n5,succ(n19))),n0)
| ~ spl3_6
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7784,f447]) ).
fof(f447,plain,
n0 = sum(n19,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f7784,plain,
( sK2 = sum(pred(sum(n5,succ(n19))),sum(n19,n2))
| ~ spl3_6
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7783,f28]) ).
fof(f7783,plain,
( sK2 = sum(pred(sum(n5,succ(n19))),sum(n19,pred(n3)))
| ~ spl3_6
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7782,f170]) ).
fof(f7782,plain,
( sK2 = sum(pred(sum(n5,succ(n19))),sum(n19,pred(sum(n5,n19))))
| ~ spl3_6
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7763,f906]) ).
fof(f7763,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f489,f744]) ).
fof(f7762,plain,
( ~ spl3_5
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f7761]) ).
fof(f7761,plain,
( $false
| ~ spl3_5
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f7760,f491]) ).
fof(f7760,plain,
( n1 = sK2
| ~ spl3_5
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7759,f108]) ).
fof(f108,plain,
n1 = sum(n2,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f7759,plain,
( sum(n2,n20) = sK2
| ~ spl3_5
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7758,f28]) ).
fof(f7758,plain,
( sK2 = sum(pred(n3),n20)
| ~ spl3_5
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7757,f150]) ).
fof(f150,plain,
n3 = sum(n4,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f7757,plain,
( sK2 = sum(pred(sum(n4,n20)),n20)
| ~ spl3_5
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7756,f23]) ).
fof(f7756,plain,
( sK2 = sum(pred(sum(n4,succ(n19))),n20)
| ~ spl3_5
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7755,f446]) ).
fof(f446,plain,
n20 = sum(n19,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f7755,plain,
( sK2 = sum(pred(sum(n4,succ(n19))),sum(n19,n1))
| ~ spl3_5
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7754,f27]) ).
fof(f7754,plain,
( sK2 = sum(pred(sum(n4,succ(n19))),sum(n19,pred(n2)))
| ~ spl3_5
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7753,f149]) ).
fof(f7753,plain,
( sK2 = sum(pred(sum(n4,succ(n19))),sum(n19,pred(sum(n4,n19))))
| ~ spl3_5
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7734,f906]) ).
fof(f7734,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f489,f740]) ).
fof(f7733,plain,
( ~ spl3_14
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f7732]) ).
fof(f7732,plain,
( $false
| ~ spl3_14
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f7731,f509]) ).
fof(f7731,plain,
( n19 = sK2
| ~ spl3_14
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7730,f285]) ).
fof(f7730,plain,
( sum(n11,n8) = sK2
| ~ spl3_14
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7729,f37]) ).
fof(f7729,plain,
( sK2 = sum(pred(n12),n8)
| ~ spl3_14
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7728,f339]) ).
fof(f7728,plain,
( sK2 = sum(pred(sum(n13,n20)),n8)
| ~ spl3_14
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7727,f23]) ).
fof(f7727,plain,
( sK2 = sum(pred(sum(n13,succ(n19))),n8)
| ~ spl3_14
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7726,f455]) ).
fof(f455,plain,
n8 = sum(n19,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f7726,plain,
( sK2 = sum(pred(sum(n13,succ(n19))),sum(n19,n10))
| ~ spl3_14
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7725,f36]) ).
fof(f7725,plain,
( sK2 = sum(pred(sum(n13,succ(n19))),sum(n19,pred(n11)))
| ~ spl3_14
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7724,f338]) ).
fof(f7724,plain,
( sK2 = sum(pred(sum(n13,succ(n19))),sum(n19,pred(sum(n13,n19))))
| ~ spl3_14
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7704,f906]) ).
fof(f7704,plain,
( sK2 = sum(pred(sum(n13,succ(sK1))),sum(sK1,pred(sum(n13,sK1))))
| ~ spl3_14 ),
inference(superposition,[],[f489,f776]) ).
fof(f7703,plain,
( ~ spl3_3
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f7702]) ).
fof(f7702,plain,
( $false
| ~ spl3_3
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f7701,f508]) ).
fof(f7701,plain,
( n18 = sK2
| ~ spl3_3
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7700,f64]) ).
fof(f7700,plain,
( sum(n0,n18) = sK2
| ~ spl3_3
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7699,f26]) ).
fof(f7699,plain,
( sK2 = sum(pred(n1),n18)
| ~ spl3_3
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7698,f108]) ).
fof(f7698,plain,
( sK2 = sum(pred(sum(n2,n20)),n18)
| ~ spl3_3
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7697,f23]) ).
fof(f7697,plain,
( sK2 = sum(pred(sum(n2,succ(n19))),n18)
| ~ spl3_3
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7696,f465]) ).
fof(f465,plain,
n18 = sum(n19,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f7696,plain,
( sK2 = sum(pred(sum(n2,succ(n19))),sum(n19,n20))
| ~ spl3_3
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7695,f25]) ).
fof(f7695,plain,
( sK2 = sum(pred(sum(n2,succ(n19))),sum(n19,pred(n0)))
| ~ spl3_3
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7694,f107]) ).
fof(f7694,plain,
( sK2 = sum(pred(sum(n2,succ(n19))),sum(n19,pred(sum(n2,n19))))
| ~ spl3_3
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7674,f906]) ).
fof(f7674,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f489,f732]) ).
fof(f7673,plain,
( ~ spl3_21
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f7672]) ).
fof(f7672,plain,
( $false
| ~ spl3_21
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f7671,f502]) ).
fof(f7671,plain,
( n12 = sK2
| ~ spl3_21
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7670,f439]) ).
fof(f439,plain,
n12 = sum(n18,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f7670,plain,
( sum(n18,n15) = sK2
| ~ spl3_21
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7669,f44]) ).
fof(f7669,plain,
( sK2 = sum(pred(n19),n15)
| ~ spl3_21
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7668,f486]) ).
fof(f486,plain,
n19 = sum(n20,n20),
inference(cnf_transformation,[],[f3]) ).
fof(f7668,plain,
( sK2 = sum(pred(sum(n20,n20)),n15)
| ~ spl3_21
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7667,f23]) ).
fof(f7667,plain,
( sK2 = sum(pred(sum(n20,succ(n19))),n15)
| ~ spl3_21
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7666,f462]) ).
fof(f462,plain,
n15 = sum(n19,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f7666,plain,
( sK2 = sum(pred(sum(n20,succ(n19))),sum(n19,n17))
| ~ spl3_21
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7665,f43]) ).
fof(f7665,plain,
( sK2 = sum(pred(sum(n20,succ(n19))),sum(n19,pred(n18)))
| ~ spl3_21
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7664,f485]) ).
fof(f7664,plain,
( sK2 = sum(pred(sum(n20,succ(n19))),sum(n19,pred(sum(n20,n19))))
| ~ spl3_21
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7643,f906]) ).
fof(f7643,plain,
( sK2 = sum(pred(sum(n20,succ(sK1))),sum(sK1,pred(sum(n20,sK1))))
| ~ spl3_21 ),
inference(superposition,[],[f489,f804]) ).
fof(f7642,plain,
( ~ spl3_11
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f7641]) ).
fof(f7641,plain,
( $false
| ~ spl3_11
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f7640,f503]) ).
fof(f7640,plain,
( n13 = sK2
| ~ spl3_11
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7639,f219]) ).
fof(f7639,plain,
( sum(n8,n5) = sK2
| ~ spl3_11
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7638,f34]) ).
fof(f7638,plain,
( sK2 = sum(pred(n9),n5)
| ~ spl3_11
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7637,f276]) ).
fof(f7637,plain,
( sK2 = sum(pred(sum(n10,n20)),n5)
| ~ spl3_11
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7636,f23]) ).
fof(f7636,plain,
( sK2 = sum(pred(sum(n10,succ(n19))),n5)
| ~ spl3_11
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7635,f452]) ).
fof(f7635,plain,
( sK2 = sum(pred(sum(n10,succ(n19))),sum(n19,n7))
| ~ spl3_11
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7634,f33]) ).
fof(f7634,plain,
( sK2 = sum(pred(sum(n10,succ(n19))),sum(n19,pred(n8)))
| ~ spl3_11
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7633,f275]) ).
fof(f7633,plain,
( sK2 = sum(pred(sum(n10,succ(n19))),sum(n19,pred(sum(n10,n19))))
| ~ spl3_11
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7615,f906]) ).
fof(f7615,plain,
( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
| ~ spl3_11 ),
inference(superposition,[],[f489,f764]) ).
fof(f7614,plain,
( ~ spl3_1
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f7613]) ).
fof(f7613,plain,
( $false
| ~ spl3_1
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f7612,f504]) ).
fof(f7612,plain,
( n14 = sK2
| ~ spl3_1
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7611,f461]) ).
fof(f461,plain,
n14 = sum(n19,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f7611,plain,
( sum(n19,n16) = sK2
| ~ spl3_1
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7610,f45]) ).
fof(f7610,plain,
( sK2 = sum(pred(n20),n16)
| ~ spl3_1
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7609,f66]) ).
fof(f7609,plain,
( sK2 = sum(pred(sum(n0,n20)),n16)
| ~ spl3_1
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7608,f23]) ).
fof(f7608,plain,
( sK2 = sum(pred(sum(n0,succ(n19))),n16)
| ~ spl3_1
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7607,f463]) ).
fof(f463,plain,
n16 = sum(n19,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f7607,plain,
( sK2 = sum(pred(sum(n0,succ(n19))),sum(n19,n18))
| ~ spl3_1
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7606,f44]) ).
fof(f7606,plain,
( sK2 = sum(pred(sum(n0,succ(n19))),sum(n19,pred(n19)))
| ~ spl3_1
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7605,f65]) ).
fof(f7605,plain,
( sK2 = sum(pred(sum(n0,succ(n19))),sum(n19,pred(sum(n0,n19))))
| ~ spl3_1
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7587,f906]) ).
fof(f7587,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f489,f724]) ).
fof(f7585,plain,
( ~ spl3_13
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f7584]) ).
fof(f7584,plain,
( $false
| ~ spl3_13
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f7583,f507]) ).
fof(f7583,plain,
( n17 = sK2
| ~ spl3_13
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7582,f263]) ).
fof(f7582,plain,
( sum(n10,n7) = sK2
| ~ spl3_13
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7581,f36]) ).
fof(f7581,plain,
( sK2 = sum(pred(n11),n7)
| ~ spl3_13
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7580,f318]) ).
fof(f7580,plain,
( sK2 = sum(pred(sum(n12,n20)),n7)
| ~ spl3_13
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7579,f23]) ).
fof(f7579,plain,
( sK2 = sum(pred(sum(n12,succ(n19))),n7)
| ~ spl3_13
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7578,f454]) ).
fof(f7578,plain,
( sK2 = sum(pred(sum(n12,succ(n19))),sum(n19,n9))
| ~ spl3_13
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7577,f35]) ).
fof(f7577,plain,
( sK2 = sum(pred(sum(n12,succ(n19))),sum(n19,pred(n10)))
| ~ spl3_13
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7576,f317]) ).
fof(f7576,plain,
( sK2 = sum(pred(sum(n12,succ(n19))),sum(n19,pred(sum(n12,n19))))
| ~ spl3_13
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7556,f772]) ).
fof(f7556,plain,
( sK2 = sum(pred(sum(sK0,succ(n19))),sum(n19,pred(sum(sK0,n19))))
| ~ spl3_41 ),
inference(superposition,[],[f489,f906]) ).
fof(f7534,plain,
( ~ spl3_20
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f7533]) ).
fof(f7533,plain,
( $false
| ~ spl3_20
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f7532,f491]) ).
fof(f7532,plain,
( n1 = sK2
| ~ spl3_20
| ~ spl3_38 ),
inference(forward_demodulation,[],[f7531,f348]) ).
fof(f348,plain,
n1 = sum(n14,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f7531,plain,
( sum(n14,n8) = sK2
| ~ spl3_20
| ~ spl3_38 ),
inference(forward_demodulation,[],[f7530,f40]) ).
fof(f7530,plain,
( sK2 = sum(pred(n15),n8)
| ~ spl3_20
| ~ spl3_38 ),
inference(forward_demodulation,[],[f7529,f462]) ).
fof(f7529,plain,
( sK2 = sum(pred(sum(n19,n17)),n8)
| ~ spl3_20
| ~ spl3_38 ),
inference(forward_demodulation,[],[f7528,f20]) ).
fof(f7528,plain,
( sK2 = sum(pred(sum(n19,succ(n16))),n8)
| ~ spl3_20
| ~ spl3_38 ),
inference(forward_demodulation,[],[f7527,f395]) ).
fof(f395,plain,
n8 = sum(n16,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f7527,plain,
( sK2 = sum(pred(sum(n19,succ(n16))),sum(n16,n13))
| ~ spl3_20
| ~ spl3_38 ),
inference(forward_demodulation,[],[f7526,f39]) ).
fof(f7526,plain,
( sK2 = sum(pred(sum(n19,succ(n16))),sum(n16,pred(n14)))
| ~ spl3_20
| ~ spl3_38 ),
inference(forward_demodulation,[],[f7525,f461]) ).
fof(f7525,plain,
( sK2 = sum(pred(sum(n19,succ(n16))),sum(n16,pred(sum(n19,n16))))
| ~ spl3_20
| ~ spl3_38 ),
inference(forward_demodulation,[],[f7507,f800]) ).
fof(f800,plain,
( n19 = sK0
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f798,plain,
( spl3_20
<=> n19 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f7507,plain,
( sK2 = sum(pred(sum(sK0,succ(n16))),sum(n16,pred(sum(sK0,n16))))
| ~ spl3_38 ),
inference(superposition,[],[f489,f894]) ).
fof(f7506,plain,
( ~ spl3_20
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f7505]) ).
fof(f7505,plain,
( $false
| ~ spl3_20
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f7504,f509]) ).
fof(f7504,plain,
( n19 = sK2
| ~ spl3_20
| ~ spl3_30 ),
inference(forward_demodulation,[],[f7503,f185]) ).
fof(f7503,plain,
( sum(n6,n13) = sK2
| ~ spl3_20
| ~ spl3_30 ),
inference(forward_demodulation,[],[f7502,f32]) ).
fof(f7502,plain,
( sK2 = sum(pred(n7),n13)
| ~ spl3_20
| ~ spl3_30 ),
inference(forward_demodulation,[],[f7501,f454]) ).
fof(f7501,plain,
( sK2 = sum(pred(sum(n19,n9)),n13)
| ~ spl3_20
| ~ spl3_30 ),
inference(forward_demodulation,[],[f7500,f12]) ).
fof(f7500,plain,
( sK2 = sum(pred(sum(n19,succ(n8))),n13)
| ~ spl3_20
| ~ spl3_30 ),
inference(forward_demodulation,[],[f7499,f219]) ).
fof(f7499,plain,
( sK2 = sum(pred(sum(n19,succ(n8))),sum(n8,n5))
| ~ spl3_20
| ~ spl3_30 ),
inference(forward_demodulation,[],[f7498,f31]) ).
fof(f7498,plain,
( sK2 = sum(pred(sum(n19,succ(n8))),sum(n8,pred(n6)))
| ~ spl3_20
| ~ spl3_30 ),
inference(forward_demodulation,[],[f7497,f453]) ).
fof(f7497,plain,
( sK2 = sum(pred(sum(n19,succ(n8))),sum(n8,pred(sum(n19,n8))))
| ~ spl3_20
| ~ spl3_30 ),
inference(forward_demodulation,[],[f7479,f800]) ).
fof(f7479,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_30 ),
inference(superposition,[],[f489,f862]) ).
fof(f7478,plain,
( ~ spl3_20
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f7477]) ).
fof(f7477,plain,
( $false
| ~ spl3_20
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f7476,f497]) ).
fof(f7476,plain,
( n7 = sK2
| ~ spl3_20
| ~ spl3_40 ),
inference(forward_demodulation,[],[f7475,f394]) ).
fof(f394,plain,
n7 = sum(n16,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f7475,plain,
( sum(n16,n12) = sK2
| ~ spl3_20
| ~ spl3_40 ),
inference(forward_demodulation,[],[f7474,f42]) ).
fof(f7474,plain,
( sK2 = sum(pred(n17),n12)
| ~ spl3_20
| ~ spl3_40 ),
inference(forward_demodulation,[],[f7473,f464]) ).
fof(f464,plain,
n17 = sum(n19,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f7473,plain,
( sK2 = sum(pred(sum(n19,n19)),n12)
| ~ spl3_20
| ~ spl3_40 ),
inference(forward_demodulation,[],[f7472,f22]) ).
fof(f7472,plain,
( sK2 = sum(pred(sum(n19,succ(n18))),n12)
| ~ spl3_20
| ~ spl3_40 ),
inference(forward_demodulation,[],[f7471,f439]) ).
fof(f7471,plain,
( sK2 = sum(pred(sum(n19,succ(n18))),sum(n18,n15))
| ~ spl3_20
| ~ spl3_40 ),
inference(forward_demodulation,[],[f7470,f41]) ).
fof(f7470,plain,
( sK2 = sum(pred(sum(n19,succ(n18))),sum(n18,pred(n16)))
| ~ spl3_20
| ~ spl3_40 ),
inference(forward_demodulation,[],[f7469,f463]) ).
fof(f7469,plain,
( sK2 = sum(pred(sum(n19,succ(n18))),sum(n18,pred(sum(n19,n18))))
| ~ spl3_20
| ~ spl3_40 ),
inference(forward_demodulation,[],[f7450,f800]) ).
fof(f7450,plain,
( sK2 = sum(pred(sum(sK0,succ(n18))),sum(n18,pred(sum(sK0,n18))))
| ~ spl3_40 ),
inference(superposition,[],[f489,f902]) ).
fof(f7449,plain,
( ~ spl3_20
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f7448]) ).
fof(f7448,plain,
( $false
| ~ spl3_20
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f7447,f491]) ).
fof(f7447,plain,
( n1 = sK2
| ~ spl3_20
| ~ spl3_24 ),
inference(forward_demodulation,[],[f7446,f47]) ).
fof(f7446,plain,
( sum(n0,n1) = sK2
| ~ spl3_20
| ~ spl3_24 ),
inference(forward_demodulation,[],[f7445,f26]) ).
fof(f7445,plain,
( sK2 = sum(pred(n1),n1)
| ~ spl3_20
| ~ spl3_24 ),
inference(forward_demodulation,[],[f7444,f448]) ).
fof(f7444,plain,
( sK2 = sum(pred(sum(n19,n3)),n1)
| ~ spl3_20
| ~ spl3_24 ),
inference(forward_demodulation,[],[f7443,f6]) ).
fof(f7443,plain,
( sK2 = sum(pred(sum(n19,succ(n2))),n1)
| ~ spl3_20
| ~ spl3_24 ),
inference(forward_demodulation,[],[f7442,f108]) ).
fof(f7442,plain,
( sK2 = sum(pred(sum(n19,succ(n2))),sum(n2,n20))
| ~ spl3_20
| ~ spl3_24 ),
inference(forward_demodulation,[],[f7441,f25]) ).
fof(f7441,plain,
( sK2 = sum(pred(sum(n19,succ(n2))),sum(n2,pred(n0)))
| ~ spl3_20
| ~ spl3_24 ),
inference(forward_demodulation,[],[f7440,f447]) ).
fof(f7440,plain,
( sK2 = sum(pred(sum(n19,succ(n2))),sum(n2,pred(sum(n19,n2))))
| ~ spl3_20
| ~ spl3_24 ),
inference(forward_demodulation,[],[f7423,f800]) ).
fof(f7423,plain,
( sK2 = sum(pred(sum(sK0,succ(n2))),sum(n2,pred(sum(sK0,n2))))
| ~ spl3_24 ),
inference(superposition,[],[f489,f838]) ).
fof(f7422,plain,
( ~ spl3_20
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f7421]) ).
fof(f7421,plain,
( $false
| ~ spl3_20
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f7420,f503]) ).
fof(f7420,plain,
( n13 = sK2
| ~ spl3_20
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7419,f139]) ).
fof(f7419,plain,
( sum(n4,n9) = sK2
| ~ spl3_20
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7418,f30]) ).
fof(f7418,plain,
( sK2 = sum(pred(n5),n9)
| ~ spl3_20
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7417,f452]) ).
fof(f7417,plain,
( sK2 = sum(pred(sum(n19,n7)),n9)
| ~ spl3_20
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7416,f10]) ).
fof(f7416,plain,
( sK2 = sum(pred(sum(n19,succ(n6))),n9)
| ~ spl3_20
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7415,f175]) ).
fof(f7415,plain,
( sK2 = sum(pred(sum(n19,succ(n6))),sum(n6,n3))
| ~ spl3_20
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7414,f29]) ).
fof(f7414,plain,
( sK2 = sum(pred(sum(n19,succ(n6))),sum(n6,pred(n4)))
| ~ spl3_20
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7413,f451]) ).
fof(f7413,plain,
( sK2 = sum(pred(sum(n19,succ(n6))),sum(n6,pred(sum(n19,n6))))
| ~ spl3_20
| ~ spl3_28 ),
inference(forward_demodulation,[],[f7395,f800]) ).
fof(f7395,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_28 ),
inference(superposition,[],[f489,f854]) ).
fof(f7394,plain,
( ~ spl3_20
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f7393]) ).
fof(f7393,plain,
( $false
| ~ spl3_20
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f7392,f506]) ).
fof(f7392,plain,
( n16 = sK2
| ~ spl3_20
| ~ spl3_36 ),
inference(forward_demodulation,[],[f7391,f302]) ).
fof(f7391,plain,
( sum(n12,n4) = sK2
| ~ spl3_20
| ~ spl3_36 ),
inference(forward_demodulation,[],[f7390,f38]) ).
fof(f7390,plain,
( sK2 = sum(pred(n13),n4)
| ~ spl3_20
| ~ spl3_36 ),
inference(forward_demodulation,[],[f7389,f460]) ).
fof(f460,plain,
n13 = sum(n19,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f7389,plain,
( sK2 = sum(pred(sum(n19,n15)),n4)
| ~ spl3_20
| ~ spl3_36 ),
inference(forward_demodulation,[],[f7388,f18]) ).
fof(f7388,plain,
( sK2 = sum(pred(sum(n19,succ(n14))),n4)
| ~ spl3_20
| ~ spl3_36 ),
inference(forward_demodulation,[],[f7387,f351]) ).
fof(f351,plain,
n4 = sum(n14,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f7387,plain,
( sK2 = sum(pred(sum(n19,succ(n14))),sum(n14,n11))
| ~ spl3_20
| ~ spl3_36 ),
inference(forward_demodulation,[],[f7386,f37]) ).
fof(f7386,plain,
( sK2 = sum(pred(sum(n19,succ(n14))),sum(n14,pred(n12)))
| ~ spl3_20
| ~ spl3_36 ),
inference(forward_demodulation,[],[f7385,f459]) ).
fof(f459,plain,
n12 = sum(n19,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f7385,plain,
( sK2 = sum(pred(sum(n19,succ(n14))),sum(n14,pred(sum(n19,n14))))
| ~ spl3_20
| ~ spl3_36 ),
inference(forward_demodulation,[],[f7366,f800]) ).
fof(f7366,plain,
( sK2 = sum(pred(sum(sK0,succ(n14))),sum(n14,pred(sum(sK0,n14))))
| ~ spl3_36 ),
inference(superposition,[],[f489,f886]) ).
fof(f7365,plain,
( ~ spl3_20
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f7364]) ).
fof(f7364,plain,
( $false
| ~ spl3_20
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f7363,f497]) ).
fof(f7363,plain,
( n7 = sK2
| ~ spl3_20
| ~ spl3_26 ),
inference(forward_demodulation,[],[f7362,f93]) ).
fof(f7362,plain,
( sum(n2,n5) = sK2
| ~ spl3_20
| ~ spl3_26 ),
inference(forward_demodulation,[],[f7361,f28]) ).
fof(f7361,plain,
( sK2 = sum(pred(n3),n5)
| ~ spl3_20
| ~ spl3_26 ),
inference(forward_demodulation,[],[f7360,f450]) ).
fof(f7360,plain,
( sK2 = sum(pred(sum(n19,n5)),n5)
| ~ spl3_20
| ~ spl3_26 ),
inference(forward_demodulation,[],[f7359,f8]) ).
fof(f7359,plain,
( sK2 = sum(pred(sum(n19,succ(n4))),n5)
| ~ spl3_20
| ~ spl3_26 ),
inference(forward_demodulation,[],[f7358,f131]) ).
fof(f7358,plain,
( sK2 = sum(pred(sum(n19,succ(n4))),sum(n4,n1))
| ~ spl3_20
| ~ spl3_26 ),
inference(forward_demodulation,[],[f7357,f27]) ).
fof(f7357,plain,
( sK2 = sum(pred(sum(n19,succ(n4))),sum(n4,pred(n2)))
| ~ spl3_20
| ~ spl3_26 ),
inference(forward_demodulation,[],[f7356,f449]) ).
fof(f7356,plain,
( sK2 = sum(pred(sum(n19,succ(n4))),sum(n4,pred(sum(n19,n4))))
| ~ spl3_20
| ~ spl3_26 ),
inference(forward_demodulation,[],[f7339,f800]) ).
fof(f7339,plain,
( sK2 = sum(pred(sum(sK0,succ(n4))),sum(n4,pred(sum(sK0,n4))))
| ~ spl3_26 ),
inference(superposition,[],[f489,f846]) ).
fof(f7338,plain,
( ~ spl3_20
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f7337]) ).
fof(f7337,plain,
( $false
| ~ spl3_20
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f7336,f500]) ).
fof(f7336,plain,
( n10 = sK2
| ~ spl3_20
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7335,f116]) ).
fof(f7335,plain,
( sum(n3,n7) = sK2
| ~ spl3_20
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7334,f29]) ).
fof(f7334,plain,
( sK2 = sum(pred(n4),n7)
| ~ spl3_20
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7333,f451]) ).
fof(f7333,plain,
( sK2 = sum(pred(sum(n19,n6)),n7)
| ~ spl3_20
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7332,f9]) ).
fof(f7332,plain,
( sK2 = sum(pred(sum(n19,succ(n5))),n7)
| ~ spl3_20
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7331,f153]) ).
fof(f7331,plain,
( sK2 = sum(pred(sum(n19,succ(n5))),sum(n5,n2))
| ~ spl3_20
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7330,f28]) ).
fof(f7330,plain,
( sK2 = sum(pred(sum(n19,succ(n5))),sum(n5,pred(n3)))
| ~ spl3_20
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7329,f450]) ).
fof(f7329,plain,
( sK2 = sum(pred(sum(n19,succ(n5))),sum(n5,pred(sum(n19,n5))))
| ~ spl3_20
| ~ spl3_27 ),
inference(forward_demodulation,[],[f7311,f800]) ).
fof(f7311,plain,
( sK2 = sum(pred(sum(sK0,succ(n5))),sum(n5,pred(sum(sK0,n5))))
| ~ spl3_27 ),
inference(superposition,[],[f489,f850]) ).
fof(f7310,plain,
( ~ spl3_20
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f7309]) ).
fof(f7309,plain,
( $false
| ~ spl3_20
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f7308,f506]) ).
fof(f7308,plain,
( n16 = sK2
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_demodulation,[],[f7307,f463]) ).
fof(f7307,plain,
( sum(n19,n18) = sK2
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_demodulation,[],[f7306,f45]) ).
fof(f7306,plain,
( sK2 = sum(pred(n20),n18)
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_demodulation,[],[f7305,f446]) ).
fof(f7305,plain,
( sK2 = sum(pred(sum(n19,n1)),n18)
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_demodulation,[],[f7304,f4]) ).
fof(f7304,plain,
( sK2 = sum(pred(sum(n19,succ(n0))),n18)
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_demodulation,[],[f7303,f64]) ).
fof(f7303,plain,
( sK2 = sum(pred(sum(n19,succ(n0))),sum(n0,n18))
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_demodulation,[],[f7302,f44]) ).
fof(f7302,plain,
( sK2 = sum(pred(sum(n19,succ(n0))),sum(n0,pred(n19)))
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_demodulation,[],[f7301,f445]) ).
fof(f7301,plain,
( sK2 = sum(pred(sum(n19,succ(n0))),sum(n0,pred(sum(n19,n0))))
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_demodulation,[],[f7284,f800]) ).
fof(f7284,plain,
( sK2 = sum(pred(sum(sK0,succ(n0))),sum(n0,pred(sum(sK0,n0))))
| ~ spl3_22 ),
inference(superposition,[],[f489,f830]) ).
fof(f7283,plain,
( ~ spl3_20
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f7282]) ).
fof(f7282,plain,
( $false
| ~ spl3_20
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f7281,f509]) ).
fof(f7281,plain,
( n19 = sK2
| ~ spl3_20
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7280,f486]) ).
fof(f7280,plain,
( sum(n20,n20) = sK2
| ~ spl3_20
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7279,f25]) ).
fof(f7279,plain,
( sK2 = sum(pred(n0),n20)
| ~ spl3_20
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7278,f447]) ).
fof(f7278,plain,
( sK2 = sum(pred(sum(n19,n2)),n20)
| ~ spl3_20
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7277,f5]) ).
fof(f7277,plain,
( sK2 = sum(pred(sum(n19,succ(n1))),n20)
| ~ spl3_20
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7276,f86]) ).
fof(f7276,plain,
( sK2 = sum(pred(sum(n19,succ(n1))),sum(n1,n19))
| ~ spl3_20
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7275,f45]) ).
fof(f7275,plain,
( sK2 = sum(pred(sum(n19,succ(n1))),sum(n1,pred(n20)))
| ~ spl3_20
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7274,f446]) ).
fof(f7274,plain,
( sK2 = sum(pred(sum(n19,succ(n1))),sum(n1,pred(sum(n19,n1))))
| ~ spl3_20
| ~ spl3_23 ),
inference(forward_demodulation,[],[f7256,f800]) ).
fof(f7256,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_23 ),
inference(superposition,[],[f489,f834]) ).
fof(f7255,plain,
( ~ spl3_20
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f7254]) ).
fof(f7254,plain,
( $false
| ~ spl3_20
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f7253,f500]) ).
fof(f7253,plain,
( n10 = sK2
| ~ spl3_20
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7252,f256]) ).
fof(f7252,plain,
( sum(n10,n0) = sK2
| ~ spl3_20
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7251,f36]) ).
fof(f7251,plain,
( sK2 = sum(pred(n11),n0)
| ~ spl3_20
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7250,f458]) ).
fof(f7250,plain,
( sK2 = sum(pred(sum(n19,n13)),n0)
| ~ spl3_20
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7249,f16]) ).
fof(f7249,plain,
( sK2 = sum(pred(sum(n19,succ(n12))),n0)
| ~ spl3_20
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7248,f307]) ).
fof(f7248,plain,
( sK2 = sum(pred(sum(n19,succ(n12))),sum(n12,n9))
| ~ spl3_20
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7247,f35]) ).
fof(f7247,plain,
( sK2 = sum(pred(sum(n19,succ(n12))),sum(n12,pred(n10)))
| ~ spl3_20
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7246,f457]) ).
fof(f457,plain,
n10 = sum(n19,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f7246,plain,
( sK2 = sum(pred(sum(n19,succ(n12))),sum(n12,pred(sum(n19,n12))))
| ~ spl3_20
| ~ spl3_34 ),
inference(forward_demodulation,[],[f7227,f800]) ).
fof(f7227,plain,
( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
| ~ spl3_34 ),
inference(superposition,[],[f489,f878]) ).
fof(f7226,plain,
( ~ spl3_20
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f7225]) ).
fof(f7225,plain,
( $false
| ~ spl3_20
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f7224,f500]) ).
fof(f7224,plain,
( n10 = sK2
| ~ spl3_20
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7223,f417]) ).
fof(f417,plain,
n10 = sum(n17,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f7223,plain,
( sum(n17,n14) = sK2
| ~ spl3_20
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7222,f43]) ).
fof(f7222,plain,
( sK2 = sum(pred(n18),n14)
| ~ spl3_20
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7221,f465]) ).
fof(f7221,plain,
( sK2 = sum(pred(sum(n19,n20)),n14)
| ~ spl3_20
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7220,f23]) ).
fof(f7220,plain,
( sK2 = sum(pred(sum(n19,succ(n19))),n14)
| ~ spl3_20
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7219,f461]) ).
fof(f7219,plain,
( sK2 = sum(pred(sum(n19,succ(n19))),sum(n19,n16))
| ~ spl3_20
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7218,f42]) ).
fof(f7218,plain,
( sK2 = sum(pred(sum(n19,succ(n19))),sum(n19,pred(n17)))
| ~ spl3_20
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7217,f464]) ).
fof(f7217,plain,
( sK2 = sum(pred(sum(n19,succ(n19))),sum(n19,pred(sum(n19,n19))))
| ~ spl3_20
| ~ spl3_41 ),
inference(forward_demodulation,[],[f7197,f800]) ).
fof(f7197,plain,
( sK2 = sum(pred(sum(sK0,succ(n19))),sum(n19,pred(sum(sK0,n19))))
| ~ spl3_41 ),
inference(superposition,[],[f489,f906]) ).
fof(f7196,plain,
( ~ spl3_20
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f7195]) ).
fof(f7195,plain,
( $false
| ~ spl3_20
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f7194,f494]) ).
fof(f7194,plain,
( n4 = sK2
| ~ spl3_20
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7193,f231]) ).
fof(f7193,plain,
( sum(n8,n17) = sK2
| ~ spl3_20
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7192,f34]) ).
fof(f7192,plain,
( sK2 = sum(pred(n9),n17)
| ~ spl3_20
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7191,f456]) ).
fof(f7191,plain,
( sK2 = sum(pred(sum(n19,n11)),n17)
| ~ spl3_20
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7190,f14]) ).
fof(f7190,plain,
( sK2 = sum(pred(sum(n19,succ(n10))),n17)
| ~ spl3_20
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7189,f263]) ).
fof(f7189,plain,
( sK2 = sum(pred(sum(n19,succ(n10))),sum(n10,n7))
| ~ spl3_20
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7188,f33]) ).
fof(f7188,plain,
( sK2 = sum(pred(sum(n19,succ(n10))),sum(n10,pred(n8)))
| ~ spl3_20
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7187,f455]) ).
fof(f7187,plain,
( sK2 = sum(pred(sum(n19,succ(n10))),sum(n10,pred(sum(n19,n10))))
| ~ spl3_20
| ~ spl3_32 ),
inference(forward_demodulation,[],[f7170,f800]) ).
fof(f7170,plain,
( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
| ~ spl3_32 ),
inference(superposition,[],[f489,f870]) ).
fof(f7169,plain,
( ~ spl3_20
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f7168]) ).
fof(f7168,plain,
( $false
| ~ spl3_20
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f7167,f494]) ).
fof(f7167,plain,
( n4 = sK2
| ~ spl3_20
| ~ spl3_25 ),
inference(forward_demodulation,[],[f7166,f70]) ).
fof(f7166,plain,
( sum(n1,n3) = sK2
| ~ spl3_20
| ~ spl3_25 ),
inference(forward_demodulation,[],[f7165,f27]) ).
fof(f7165,plain,
( sK2 = sum(pred(n2),n3)
| ~ spl3_20
| ~ spl3_25 ),
inference(forward_demodulation,[],[f7164,f449]) ).
fof(f7164,plain,
( sK2 = sum(pred(sum(n19,n4)),n3)
| ~ spl3_20
| ~ spl3_25 ),
inference(forward_demodulation,[],[f7163,f7]) ).
fof(f7163,plain,
( sK2 = sum(pred(sum(n19,succ(n3))),n3)
| ~ spl3_20
| ~ spl3_25 ),
inference(forward_demodulation,[],[f7162,f109]) ).
fof(f7162,plain,
( sK2 = sum(pred(sum(n19,succ(n3))),sum(n3,n0))
| ~ spl3_20
| ~ spl3_25 ),
inference(forward_demodulation,[],[f7161,f26]) ).
fof(f7161,plain,
( sK2 = sum(pred(sum(n19,succ(n3))),sum(n3,pred(n1)))
| ~ spl3_20
| ~ spl3_25 ),
inference(forward_demodulation,[],[f7160,f448]) ).
fof(f7160,plain,
( sK2 = sum(pred(sum(n19,succ(n3))),sum(n3,pred(sum(n19,n3))))
| ~ spl3_20
| ~ spl3_25 ),
inference(forward_demodulation,[],[f7144,f800]) ).
fof(f7144,plain,
( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
| ~ spl3_25 ),
inference(superposition,[],[f489,f842]) ).
fof(f7143,plain,
( ~ spl3_20
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f7142]) ).
fof(f7142,plain,
( $false
| ~ spl3_20
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f7141,f506]) ).
fof(f7141,plain,
( n16 = sK2
| ~ spl3_20
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7140,f162]) ).
fof(f7140,plain,
( sum(n5,n11) = sK2
| ~ spl3_20
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7139,f31]) ).
fof(f7139,plain,
( sK2 = sum(pred(n6),n11)
| ~ spl3_20
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7138,f453]) ).
fof(f7138,plain,
( sK2 = sum(pred(sum(n19,n8)),n11)
| ~ spl3_20
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7137,f11]) ).
fof(f7137,plain,
( sK2 = sum(pred(sum(n19,succ(n7))),n11)
| ~ spl3_20
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7136,f197]) ).
fof(f7136,plain,
( sK2 = sum(pred(sum(n19,succ(n7))),sum(n7,n4))
| ~ spl3_20
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7135,f30]) ).
fof(f7135,plain,
( sK2 = sum(pred(sum(n19,succ(n7))),sum(n7,pred(n5)))
| ~ spl3_20
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7134,f452]) ).
fof(f7134,plain,
( sK2 = sum(pred(sum(n19,succ(n7))),sum(n7,pred(sum(n19,n7))))
| ~ spl3_20
| ~ spl3_29 ),
inference(forward_demodulation,[],[f7117,f800]) ).
fof(f7117,plain,
( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
| ~ spl3_29 ),
inference(superposition,[],[f489,f858]) ).
fof(f7115,plain,
( ~ spl3_20
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f7114]) ).
fof(f7114,plain,
( $false
| ~ spl3_20
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f7113,f494]) ).
fof(f7113,plain,
( n4 = sK2
| ~ spl3_20
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7112,f371]) ).
fof(f371,plain,
n4 = sum(n15,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f7112,plain,
( sum(n15,n10) = sK2
| ~ spl3_20
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7111,f41]) ).
fof(f7111,plain,
( sK2 = sum(pred(n16),n10)
| ~ spl3_20
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7110,f463]) ).
fof(f7110,plain,
( sK2 = sum(pred(sum(n19,n18)),n10)
| ~ spl3_20
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7109,f21]) ).
fof(f21,plain,
succ(n17) = n18,
inference(cnf_transformation,[],[f3]) ).
fof(f7109,plain,
( sK2 = sum(pred(sum(n19,succ(n17))),n10)
| ~ spl3_20
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7108,f417]) ).
fof(f7108,plain,
( sK2 = sum(pred(sum(n19,succ(n17))),sum(n17,n14))
| ~ spl3_20
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7107,f40]) ).
fof(f7107,plain,
( sK2 = sum(pred(sum(n19,succ(n17))),sum(n17,pred(n15)))
| ~ spl3_20
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7106,f462]) ).
fof(f7106,plain,
( sK2 = sum(pred(sum(n19,succ(n17))),sum(n17,pred(sum(n19,n17))))
| ~ spl3_20
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7086,f898]) ).
fof(f898,plain,
( n17 = sK1
| ~ spl3_39 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f896,plain,
( spl3_39
<=> n17 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_39])]) ).
fof(f7086,plain,
( sK2 = sum(pred(sum(n19,succ(sK1))),sum(sK1,pred(sum(n19,sK1))))
| ~ spl3_20 ),
inference(superposition,[],[f489,f800]) ).
fof(f7085,plain,
( ~ spl3_8
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f7084]) ).
fof(f7084,plain,
( $false
| ~ spl3_8
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f7083,f491]) ).
fof(f7083,plain,
( n1 = sK2
| ~ spl3_8
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7082,f128]) ).
fof(f7082,plain,
( sum(n3,n19) = sK2
| ~ spl3_8
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7081,f29]) ).
fof(f7081,plain,
( sK2 = sum(pred(n4),n19)
| ~ spl3_8
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7080,f211]) ).
fof(f7080,plain,
( sK2 = sum(pred(sum(n7,n18)),n19)
| ~ spl3_8
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7079,f21]) ).
fof(f7079,plain,
( sK2 = sum(pred(sum(n7,succ(n17))),n19)
| ~ spl3_8
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7078,f405]) ).
fof(f7078,plain,
( sK2 = sum(pred(sum(n7,succ(n17))),sum(n17,n2))
| ~ spl3_8
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7077,f28]) ).
fof(f7077,plain,
( sK2 = sum(pred(sum(n7,succ(n17))),sum(n17,pred(n3)))
| ~ spl3_8
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7076,f210]) ).
fof(f7076,plain,
( sK2 = sum(pred(sum(n7,succ(n17))),sum(n17,pred(sum(n7,n17))))
| ~ spl3_8
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7059,f898]) ).
fof(f7059,plain,
( sK2 = sum(pred(sum(n7,succ(sK1))),sum(sK1,pred(sum(n7,sK1))))
| ~ spl3_8 ),
inference(superposition,[],[f489,f752]) ).
fof(f7058,plain,
( ~ spl3_10
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f7057]) ).
fof(f7057,plain,
( $false
| ~ spl3_10
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f7056,f495]) ).
fof(f7056,plain,
( n5 = sK2
| ~ spl3_10
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7055,f151]) ).
fof(f7055,plain,
( sum(n5,n0) = sK2
| ~ spl3_10
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7054,f31]) ).
fof(f7054,plain,
( sK2 = sum(pred(n6),n0)
| ~ spl3_10
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7053,f253]) ).
fof(f7053,plain,
( sK2 = sum(pred(sum(n9,n18)),n0)
| ~ spl3_10
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7052,f21]) ).
fof(f7052,plain,
( sK2 = sum(pred(sum(n9,succ(n17))),n0)
| ~ spl3_10
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7051,f407]) ).
fof(f407,plain,
n0 = sum(n17,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f7051,plain,
( sK2 = sum(pred(sum(n9,succ(n17))),sum(n17,n4))
| ~ spl3_10
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7050,f30]) ).
fof(f7050,plain,
( sK2 = sum(pred(sum(n9,succ(n17))),sum(n17,pred(n5)))
| ~ spl3_10
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7049,f252]) ).
fof(f7049,plain,
( sK2 = sum(pred(sum(n9,succ(n17))),sum(n17,pred(sum(n9,n17))))
| ~ spl3_10
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7031,f898]) ).
fof(f7031,plain,
( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
| ~ spl3_10 ),
inference(superposition,[],[f489,f760]) ).
fof(f7030,plain,
( ~ spl3_1
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f7029]) ).
fof(f7029,plain,
( $false
| ~ spl3_1
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f7028,f498]) ).
fof(f7028,plain,
( n8 = sK2
| ~ spl3_1
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7027,f415]) ).
fof(f415,plain,
n8 = sum(n17,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f7027,plain,
( sum(n17,n12) = sK2
| ~ spl3_1
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7026,f43]) ).
fof(f7026,plain,
( sK2 = sum(pred(n18),n12)
| ~ spl3_1
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7025,f64]) ).
fof(f7025,plain,
( sK2 = sum(pred(sum(n0,n18)),n12)
| ~ spl3_1
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7024,f21]) ).
fof(f7024,plain,
( sK2 = sum(pred(sum(n0,succ(n17))),n12)
| ~ spl3_1
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7023,f419]) ).
fof(f419,plain,
n12 = sum(n17,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f7023,plain,
( sK2 = sum(pred(sum(n0,succ(n17))),sum(n17,n16))
| ~ spl3_1
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7022,f42]) ).
fof(f7022,plain,
( sK2 = sum(pred(sum(n0,succ(n17))),sum(n17,pred(n17)))
| ~ spl3_1
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7021,f63]) ).
fof(f7021,plain,
( sK2 = sum(pred(sum(n0,succ(n17))),sum(n17,pred(sum(n0,n17))))
| ~ spl3_1
| ~ spl3_39 ),
inference(forward_demodulation,[],[f7003,f898]) ).
fof(f7003,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f489,f724]) ).
fof(f7002,plain,
( ~ spl3_13
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f7001]) ).
fof(f7001,plain,
( $false
| ~ spl3_13
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f7000,f501]) ).
fof(f7000,plain,
( n11 = sK2
| ~ spl3_13
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6999,f217]) ).
fof(f6999,plain,
( sum(n8,n3) = sK2
| ~ spl3_13
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6998,f34]) ).
fof(f6998,plain,
( sK2 = sum(pred(n9),n3)
| ~ spl3_13
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6997,f316]) ).
fof(f6997,plain,
( sK2 = sum(pred(sum(n12,n18)),n3)
| ~ spl3_13
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6996,f21]) ).
fof(f6996,plain,
( sK2 = sum(pred(sum(n12,succ(n17))),n3)
| ~ spl3_13
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6995,f410]) ).
fof(f6995,plain,
( sK2 = sum(pred(sum(n12,succ(n17))),sum(n17,n7))
| ~ spl3_13
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6994,f33]) ).
fof(f6994,plain,
( sK2 = sum(pred(sum(n12,succ(n17))),sum(n17,pred(n8)))
| ~ spl3_13
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6993,f315]) ).
fof(f6993,plain,
( sK2 = sum(pred(sum(n12,succ(n17))),sum(n17,pred(sum(n12,n17))))
| ~ spl3_13
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6974,f898]) ).
fof(f6974,plain,
( sK2 = sum(pred(sum(n12,succ(sK1))),sum(sK1,pred(sum(n12,sK1))))
| ~ spl3_13 ),
inference(superposition,[],[f489,f772]) ).
fof(f6973,plain,
( ~ spl3_14
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f6972]) ).
fof(f6972,plain,
( $false
| ~ spl3_14
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f6971,f503]) ).
fof(f6971,plain,
( n13 = sK2
| ~ spl3_14
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6970,f239]) ).
fof(f6970,plain,
( sum(n9,n4) = sK2
| ~ spl3_14
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6969,f35]) ).
fof(f6969,plain,
( sK2 = sum(pred(n10),n4)
| ~ spl3_14
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6968,f337]) ).
fof(f6968,plain,
( sK2 = sum(pred(sum(n13,n18)),n4)
| ~ spl3_14
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6967,f21]) ).
fof(f6967,plain,
( sK2 = sum(pred(sum(n13,succ(n17))),n4)
| ~ spl3_14
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6966,f411]) ).
fof(f411,plain,
n4 = sum(n17,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f6966,plain,
( sK2 = sum(pred(sum(n13,succ(n17))),sum(n17,n8))
| ~ spl3_14
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6965,f34]) ).
fof(f6965,plain,
( sK2 = sum(pred(sum(n13,succ(n17))),sum(n17,pred(n9)))
| ~ spl3_14
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6964,f336]) ).
fof(f6964,plain,
( sK2 = sum(pred(sum(n13,succ(n17))),sum(n17,pred(sum(n13,n17))))
| ~ spl3_14
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6944,f898]) ).
fof(f6944,plain,
( sK2 = sum(pred(sum(n13,succ(sK1))),sum(sK1,pred(sum(n13,sK1))))
| ~ spl3_14 ),
inference(superposition,[],[f489,f776]) ).
fof(f6943,plain,
( ~ spl3_4
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f6942]) ).
fof(f6942,plain,
( $false
| ~ spl3_4
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f6941,f504]) ).
fof(f6941,plain,
( n14 = sK2
| ~ spl3_4
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6940,f481]) ).
fof(f6940,plain,
( sum(n20,n15) = sK2
| ~ spl3_4
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6939,f25]) ).
fof(f6939,plain,
( sK2 = sum(pred(n0),n15)
| ~ spl3_4
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6938,f127]) ).
fof(f6938,plain,
( sK2 = sum(pred(sum(n3,n18)),n15)
| ~ spl3_4
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6937,f21]) ).
fof(f6937,plain,
( sK2 = sum(pred(sum(n3,succ(n17))),n15)
| ~ spl3_4
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6936,f422]) ).
fof(f422,plain,
n15 = sum(n17,n19),
inference(cnf_transformation,[],[f3]) ).
fof(f6936,plain,
( sK2 = sum(pred(sum(n3,succ(n17))),sum(n17,n19))
| ~ spl3_4
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6935,f45]) ).
fof(f6935,plain,
( sK2 = sum(pred(sum(n3,succ(n17))),sum(n17,pred(n20)))
| ~ spl3_4
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6934,f126]) ).
fof(f6934,plain,
( sK2 = sum(pred(sum(n3,succ(n17))),sum(n17,pred(sum(n3,n17))))
| ~ spl3_4
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6915,f898]) ).
fof(f6915,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f489,f736]) ).
fof(f6914,plain,
( ~ spl3_7
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f6913]) ).
fof(f6913,plain,
( $false
| ~ spl3_7
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f6912,f510]) ).
fof(f6912,plain,
( n20 = sK2
| ~ spl3_7
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6911,f106]) ).
fof(f6911,plain,
( sum(n2,n18) = sK2
| ~ spl3_7
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6910,f28]) ).
fof(f6910,plain,
( sK2 = sum(pred(n3),n18)
| ~ spl3_7
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6909,f190]) ).
fof(f6909,plain,
( sK2 = sum(pred(sum(n6,n18)),n18)
| ~ spl3_7
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6908,f21]) ).
fof(f6908,plain,
( sK2 = sum(pred(sum(n6,succ(n17))),n18)
| ~ spl3_7
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6907,f404]) ).
fof(f6907,plain,
( sK2 = sum(pred(sum(n6,succ(n17))),sum(n17,n1))
| ~ spl3_7
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6906,f27]) ).
fof(f6906,plain,
( sK2 = sum(pred(sum(n6,succ(n17))),sum(n17,pred(n2)))
| ~ spl3_7
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6905,f189]) ).
fof(f6905,plain,
( sK2 = sum(pred(sum(n6,succ(n17))),sum(n17,pred(sum(n6,n17))))
| ~ spl3_7
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6885,f898]) ).
fof(f6885,plain,
( sK2 = sum(pred(sum(n6,succ(sK1))),sum(sK1,pred(sum(n6,sK1))))
| ~ spl3_7 ),
inference(superposition,[],[f489,f748]) ).
fof(f6884,plain,
( ~ spl3_21
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f6883]) ).
fof(f6883,plain,
( $false
| ~ spl3_21
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f6882,f496]) ).
fof(f6882,plain,
( n6 = sK2
| ~ spl3_21
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6881,f393]) ).
fof(f393,plain,
n6 = sum(n16,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f6881,plain,
( sum(n16,n11) = sK2
| ~ spl3_21
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6880,f42]) ).
fof(f6880,plain,
( sK2 = sum(pred(n17),n11)
| ~ spl3_21
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6879,f484]) ).
fof(f6879,plain,
( sK2 = sum(pred(sum(n20,n18)),n11)
| ~ spl3_21
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6878,f21]) ).
fof(f6878,plain,
( sK2 = sum(pred(sum(n20,succ(n17))),n11)
| ~ spl3_21
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6877,f418]) ).
fof(f418,plain,
n11 = sum(n17,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f6877,plain,
( sK2 = sum(pred(sum(n20,succ(n17))),sum(n17,n15))
| ~ spl3_21
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6876,f41]) ).
fof(f6876,plain,
( sK2 = sum(pred(sum(n20,succ(n17))),sum(n17,pred(n16)))
| ~ spl3_21
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6875,f483]) ).
fof(f6875,plain,
( sK2 = sum(pred(sum(n20,succ(n17))),sum(n17,pred(sum(n20,n17))))
| ~ spl3_21
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6854,f898]) ).
fof(f6854,plain,
( sK2 = sum(pred(sum(n20,succ(sK1))),sum(sK1,pred(sum(n20,sK1))))
| ~ spl3_21 ),
inference(superposition,[],[f489,f804]) ).
fof(f6853,plain,
( ~ spl3_9
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f6852]) ).
fof(f6852,plain,
( $false
| ~ spl3_9
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f6851,f493]) ).
fof(f6851,plain,
( n3 = sK2
| ~ spl3_9
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6850,f150]) ).
fof(f6850,plain,
( sum(n4,n20) = sK2
| ~ spl3_9
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6849,f30]) ).
fof(f6849,plain,
( sK2 = sum(pred(n5),n20)
| ~ spl3_9
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6848,f232]) ).
fof(f6848,plain,
( sK2 = sum(pred(sum(n8,n18)),n20)
| ~ spl3_9
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6847,f21]) ).
fof(f6847,plain,
( sK2 = sum(pred(sum(n8,succ(n17))),n20)
| ~ spl3_9
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6846,f406]) ).
fof(f6846,plain,
( sK2 = sum(pred(sum(n8,succ(n17))),sum(n17,n3))
| ~ spl3_9
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6845,f29]) ).
fof(f6845,plain,
( sK2 = sum(pred(sum(n8,succ(n17))),sum(n17,pred(n4)))
| ~ spl3_9
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6844,f231]) ).
fof(f6844,plain,
( sK2 = sum(pred(sum(n8,succ(n17))),sum(n17,pred(sum(n8,n17))))
| ~ spl3_9
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6827,f898]) ).
fof(f6827,plain,
( sK2 = sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1))))
| ~ spl3_9 ),
inference(superposition,[],[f489,f756]) ).
fof(f6826,plain,
( ~ spl3_3
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f6825]) ).
fof(f6825,plain,
( $false
| ~ spl3_3
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f6824,f502]) ).
fof(f6824,plain,
( n12 = sK2
| ~ spl3_3
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6823,f459]) ).
fof(f6823,plain,
( sum(n19,n14) = sK2
| ~ spl3_3
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6822,f45]) ).
fof(f6822,plain,
( sK2 = sum(pred(n20),n14)
| ~ spl3_3
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6821,f106]) ).
fof(f6821,plain,
( sK2 = sum(pred(sum(n2,n18)),n14)
| ~ spl3_3
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6820,f21]) ).
fof(f6820,plain,
( sK2 = sum(pred(sum(n2,succ(n17))),n14)
| ~ spl3_3
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6819,f421]) ).
fof(f421,plain,
n14 = sum(n17,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f6819,plain,
( sK2 = sum(pred(sum(n2,succ(n17))),sum(n17,n18))
| ~ spl3_3
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6818,f44]) ).
fof(f6818,plain,
( sK2 = sum(pred(sum(n2,succ(n17))),sum(n17,pred(n19)))
| ~ spl3_3
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6817,f105]) ).
fof(f6817,plain,
( sK2 = sum(pred(sum(n2,succ(n17))),sum(n17,pred(sum(n2,n17))))
| ~ spl3_3
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6800,f898]) ).
fof(f6800,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f489,f732]) ).
fof(f6799,plain,
( ~ spl3_11
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f6798]) ).
fof(f6798,plain,
( $false
| ~ spl3_11
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f6797,f497]) ).
fof(f6797,plain,
( n7 = sK2
| ~ spl3_11
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6796,f173]) ).
fof(f6796,plain,
( sum(n6,n1) = sK2
| ~ spl3_11
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6795,f32]) ).
fof(f6795,plain,
( sK2 = sum(pred(n7),n1)
| ~ spl3_11
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6794,f274]) ).
fof(f6794,plain,
( sK2 = sum(pred(sum(n10,n18)),n1)
| ~ spl3_11
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6793,f21]) ).
fof(f6793,plain,
( sK2 = sum(pred(sum(n10,succ(n17))),n1)
| ~ spl3_11
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6792,f408]) ).
fof(f6792,plain,
( sK2 = sum(pred(sum(n10,succ(n17))),sum(n17,n5))
| ~ spl3_11
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6791,f31]) ).
fof(f6791,plain,
( sK2 = sum(pred(sum(n10,succ(n17))),sum(n17,pred(n6)))
| ~ spl3_11
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6790,f273]) ).
fof(f6790,plain,
( sK2 = sum(pred(sum(n10,succ(n17))),sum(n17,pred(sum(n10,n17))))
| ~ spl3_11
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6772,f898]) ).
fof(f6772,plain,
( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
| ~ spl3_11 ),
inference(superposition,[],[f489,f764]) ).
fof(f6771,plain,
( ~ spl3_6
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f6770]) ).
fof(f6770,plain,
( $false
| ~ spl3_6
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f6769,f508]) ).
fof(f6769,plain,
( n18 = sK2
| ~ spl3_6
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6768,f84]) ).
fof(f84,plain,
n18 = sum(n1,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f6768,plain,
( sum(n1,n17) = sK2
| ~ spl3_6
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6767,f27]) ).
fof(f6767,plain,
( sK2 = sum(pred(n2),n17)
| ~ spl3_6
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6766,f169]) ).
fof(f6766,plain,
( sK2 = sum(pred(sum(n5,n18)),n17)
| ~ spl3_6
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6765,f21]) ).
fof(f6765,plain,
( sK2 = sum(pred(sum(n5,succ(n17))),n17)
| ~ spl3_6
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6764,f403]) ).
fof(f6764,plain,
( sK2 = sum(pred(sum(n5,succ(n17))),sum(n17,n0))
| ~ spl3_6
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6763,f26]) ).
fof(f6763,plain,
( sK2 = sum(pred(sum(n5,succ(n17))),sum(n17,pred(n1)))
| ~ spl3_6
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6762,f168]) ).
fof(f6762,plain,
( sK2 = sum(pred(sum(n5,succ(n17))),sum(n17,pred(sum(n5,n17))))
| ~ spl3_6
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6744,f898]) ).
fof(f6744,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f489,f744]) ).
fof(f6743,plain,
( ~ spl3_5
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f6742]) ).
fof(f6742,plain,
( $false
| ~ spl3_5
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f6741,f506]) ).
fof(f6741,plain,
( n16 = sK2
| ~ spl3_5
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6740,f62]) ).
fof(f6740,plain,
( sum(n0,n16) = sK2
| ~ spl3_5
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6739,f26]) ).
fof(f6739,plain,
( sK2 = sum(pred(n1),n16)
| ~ spl3_5
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6738,f148]) ).
fof(f6738,plain,
( sK2 = sum(pred(sum(n4,n18)),n16)
| ~ spl3_5
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6737,f21]) ).
fof(f6737,plain,
( sK2 = sum(pred(sum(n4,succ(n17))),n16)
| ~ spl3_5
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6736,f423]) ).
fof(f6736,plain,
( sK2 = sum(pred(sum(n4,succ(n17))),sum(n17,n20))
| ~ spl3_5
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6735,f25]) ).
fof(f6735,plain,
( sK2 = sum(pred(sum(n4,succ(n17))),sum(n17,pred(n0)))
| ~ spl3_5
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6734,f147]) ).
fof(f6734,plain,
( sK2 = sum(pred(sum(n4,succ(n17))),sum(n17,pred(sum(n4,n17))))
| ~ spl3_5
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6716,f898]) ).
fof(f6716,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f489,f740]) ).
fof(f6714,plain,
( ~ spl3_12
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f6713]) ).
fof(f6713,plain,
( $false
| ~ spl3_12
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f6712,f499]) ).
fof(f6712,plain,
( n9 = sK2
| ~ spl3_12
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6711,f195]) ).
fof(f6711,plain,
( sum(n7,n2) = sK2
| ~ spl3_12
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6710,f33]) ).
fof(f6710,plain,
( sK2 = sum(pred(n8),n2)
| ~ spl3_12
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6709,f295]) ).
fof(f6709,plain,
( sK2 = sum(pred(sum(n11,n18)),n2)
| ~ spl3_12
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6708,f21]) ).
fof(f6708,plain,
( sK2 = sum(pred(sum(n11,succ(n17))),n2)
| ~ spl3_12
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6707,f409]) ).
fof(f409,plain,
n2 = sum(n17,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f6707,plain,
( sK2 = sum(pred(sum(n11,succ(n17))),sum(n17,n6))
| ~ spl3_12
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6706,f32]) ).
fof(f6706,plain,
( sK2 = sum(pred(sum(n11,succ(n17))),sum(n17,pred(n7)))
| ~ spl3_12
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6705,f294]) ).
fof(f6705,plain,
( sK2 = sum(pred(sum(n11,succ(n17))),sum(n17,pred(sum(n11,n17))))
| ~ spl3_12
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6687,f768]) ).
fof(f6687,plain,
( sK2 = sum(pred(sum(sK0,succ(n17))),sum(n17,pred(sum(sK0,n17))))
| ~ spl3_39 ),
inference(superposition,[],[f489,f898]) ).
fof(f6665,plain,
( ~ spl3_19
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f6664]) ).
fof(f6664,plain,
( $false
| ~ spl3_19
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f6663,f501]) ).
fof(f6663,plain,
( n11 = sK2
| ~ spl3_19
| ~ spl3_28 ),
inference(forward_demodulation,[],[f6662,f117]) ).
fof(f6662,plain,
( sum(n3,n8) = sK2
| ~ spl3_19
| ~ spl3_28 ),
inference(forward_demodulation,[],[f6661,f29]) ).
fof(f6661,plain,
( sK2 = sum(pred(n4),n8)
| ~ spl3_19
| ~ spl3_28 ),
inference(forward_demodulation,[],[f6660,f431]) ).
fof(f6660,plain,
( sK2 = sum(pred(sum(n18,n7)),n8)
| ~ spl3_19
| ~ spl3_28 ),
inference(forward_demodulation,[],[f6659,f10]) ).
fof(f6659,plain,
( sK2 = sum(pred(sum(n18,succ(n6))),n8)
| ~ spl3_19
| ~ spl3_28 ),
inference(forward_demodulation,[],[f6658,f174]) ).
fof(f6658,plain,
( sK2 = sum(pred(sum(n18,succ(n6))),sum(n6,n2))
| ~ spl3_19
| ~ spl3_28 ),
inference(forward_demodulation,[],[f6657,f28]) ).
fof(f6657,plain,
( sK2 = sum(pred(sum(n18,succ(n6))),sum(n6,pred(n3)))
| ~ spl3_19
| ~ spl3_28 ),
inference(forward_demodulation,[],[f6656,f430]) ).
fof(f6656,plain,
( sK2 = sum(pred(sum(n18,succ(n6))),sum(n6,pred(sum(n18,n6))))
| ~ spl3_19
| ~ spl3_28 ),
inference(forward_demodulation,[],[f6639,f796]) ).
fof(f796,plain,
( n18 = sK0
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f794,plain,
( spl3_19
<=> n18 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f6639,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_28 ),
inference(superposition,[],[f489,f854]) ).
fof(f6638,plain,
( ~ spl3_19
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f6637]) ).
fof(f6637,plain,
( $false
| ~ spl3_19
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f6636,f510]) ).
fof(f6636,plain,
( n20 = sK2
| ~ spl3_19
| ~ spl3_38 ),
inference(forward_demodulation,[],[f6635,f326]) ).
fof(f6635,plain,
( sum(n13,n7) = sK2
| ~ spl3_19
| ~ spl3_38 ),
inference(forward_demodulation,[],[f6634,f39]) ).
fof(f6634,plain,
( sK2 = sum(pred(n14),n7)
| ~ spl3_19
| ~ spl3_38 ),
inference(forward_demodulation,[],[f6633,f441]) ).
fof(f6633,plain,
( sK2 = sum(pred(sum(n18,n17)),n7)
| ~ spl3_19
| ~ spl3_38 ),
inference(forward_demodulation,[],[f6632,f20]) ).
fof(f6632,plain,
( sK2 = sum(pred(sum(n18,succ(n16))),n7)
| ~ spl3_19
| ~ spl3_38 ),
inference(forward_demodulation,[],[f6631,f394]) ).
fof(f6631,plain,
( sK2 = sum(pred(sum(n18,succ(n16))),sum(n16,n12))
| ~ spl3_19
| ~ spl3_38 ),
inference(forward_demodulation,[],[f6630,f38]) ).
fof(f6630,plain,
( sK2 = sum(pred(sum(n18,succ(n16))),sum(n16,pred(n13)))
| ~ spl3_19
| ~ spl3_38 ),
inference(forward_demodulation,[],[f6629,f440]) ).
fof(f6629,plain,
( sK2 = sum(pred(sum(n18,succ(n16))),sum(n16,pred(sum(n18,n16))))
| ~ spl3_19
| ~ spl3_38 ),
inference(forward_demodulation,[],[f6611,f796]) ).
fof(f6611,plain,
( sK2 = sum(pred(sum(sK0,succ(n16))),sum(n16,pred(sum(sK0,n16))))
| ~ spl3_38 ),
inference(superposition,[],[f489,f894]) ).
fof(f6610,plain,
( ~ spl3_19
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f6609]) ).
fof(f6609,plain,
( $false
| ~ spl3_19
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f6608,f504]) ).
fof(f6608,plain,
( n14 = sK2
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f6607,f441]) ).
fof(f6607,plain,
( sum(n18,n17) = sK2
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f6606,f44]) ).
fof(f6606,plain,
( sK2 = sum(pred(n19),n17)
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f6605,f425]) ).
fof(f6605,plain,
( sK2 = sum(pred(sum(n18,n1)),n17)
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f6604,f4]) ).
fof(f6604,plain,
( sK2 = sum(pred(sum(n18,succ(n0))),n17)
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f6603,f63]) ).
fof(f6603,plain,
( sK2 = sum(pred(sum(n18,succ(n0))),sum(n0,n17))
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f6602,f43]) ).
fof(f6602,plain,
( sK2 = sum(pred(sum(n18,succ(n0))),sum(n0,pred(n18)))
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f6601,f424]) ).
fof(f6601,plain,
( sK2 = sum(pred(sum(n18,succ(n0))),sum(n0,pred(sum(n18,n0))))
| ~ spl3_19
| ~ spl3_22 ),
inference(forward_demodulation,[],[f6583,f796]) ).
fof(f6583,plain,
( sK2 = sum(pred(sum(sK0,succ(n0))),sum(n0,pred(sum(sK0,n0))))
| ~ spl3_22 ),
inference(superposition,[],[f489,f830]) ).
fof(f6582,plain,
( ~ spl3_19
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f6581]) ).
fof(f6581,plain,
( $false
| ~ spl3_19
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f6580,f495]) ).
fof(f6580,plain,
( n5 = sK2
| ~ spl3_19
| ~ spl3_40 ),
inference(forward_demodulation,[],[f6579,f372]) ).
fof(f372,plain,
n5 = sum(n15,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f6579,plain,
( sum(n15,n11) = sK2
| ~ spl3_19
| ~ spl3_40 ),
inference(forward_demodulation,[],[f6578,f41]) ).
fof(f6578,plain,
( sK2 = sum(pred(n16),n11)
| ~ spl3_19
| ~ spl3_40 ),
inference(forward_demodulation,[],[f6577,f443]) ).
fof(f6577,plain,
( sK2 = sum(pred(sum(n18,n19)),n11)
| ~ spl3_19
| ~ spl3_40 ),
inference(forward_demodulation,[],[f6576,f22]) ).
fof(f6576,plain,
( sK2 = sum(pred(sum(n18,succ(n18))),n11)
| ~ spl3_19
| ~ spl3_40 ),
inference(forward_demodulation,[],[f6575,f438]) ).
fof(f6575,plain,
( sK2 = sum(pred(sum(n18,succ(n18))),sum(n18,n14))
| ~ spl3_19
| ~ spl3_40 ),
inference(forward_demodulation,[],[f6574,f40]) ).
fof(f6574,plain,
( sK2 = sum(pred(sum(n18,succ(n18))),sum(n18,pred(n15)))
| ~ spl3_19
| ~ spl3_40 ),
inference(forward_demodulation,[],[f6573,f442]) ).
fof(f442,plain,
n15 = sum(n18,n18),
inference(cnf_transformation,[],[f3]) ).
fof(f6573,plain,
( sK2 = sum(pred(sum(n18,succ(n18))),sum(n18,pred(sum(n18,n18))))
| ~ spl3_19
| ~ spl3_40 ),
inference(forward_demodulation,[],[f6554,f796]) ).
fof(f6554,plain,
( sK2 = sum(pred(sum(sK0,succ(n18))),sum(n18,pred(sum(sK0,n18))))
| ~ spl3_40 ),
inference(superposition,[],[f489,f902]) ).
fof(f6553,plain,
( ~ spl3_19
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f6552]) ).
fof(f6552,plain,
( $false
| ~ spl3_19
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f6551,f492]) ).
fof(f6551,plain,
( n2 = sK2
| ~ spl3_19
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6550,f349]) ).
fof(f349,plain,
n2 = sum(n14,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f6550,plain,
( sum(n14,n9) = sK2
| ~ spl3_19
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6549,f40]) ).
fof(f6549,plain,
( sK2 = sum(pred(n15),n9)
| ~ spl3_19
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6548,f442]) ).
fof(f6548,plain,
( sK2 = sum(pred(sum(n18,n18)),n9)
| ~ spl3_19
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6547,f21]) ).
fof(f6547,plain,
( sK2 = sum(pred(sum(n18,succ(n17))),n9)
| ~ spl3_19
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6546,f416]) ).
fof(f6546,plain,
( sK2 = sum(pred(sum(n18,succ(n17))),sum(n17,n13))
| ~ spl3_19
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6545,f39]) ).
fof(f6545,plain,
( sK2 = sum(pred(sum(n18,succ(n17))),sum(n17,pred(n14)))
| ~ spl3_19
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6544,f441]) ).
fof(f6544,plain,
( sK2 = sum(pred(sum(n18,succ(n17))),sum(n17,pred(sum(n18,n17))))
| ~ spl3_19
| ~ spl3_39 ),
inference(forward_demodulation,[],[f6525,f796]) ).
fof(f6525,plain,
( sK2 = sum(pred(sum(sK0,succ(n17))),sum(n17,pred(sum(sK0,n17))))
| ~ spl3_39 ),
inference(superposition,[],[f489,f898]) ).
fof(f6524,plain,
( ~ spl3_19
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f6523]) ).
fof(f6523,plain,
( $false
| ~ spl3_19
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f6522,f492]) ).
fof(f6522,plain,
( n2 = sK2
| ~ spl3_19
| ~ spl3_32 ),
inference(forward_demodulation,[],[f6521,f209]) ).
fof(f6521,plain,
( sum(n7,n16) = sK2
| ~ spl3_19
| ~ spl3_32 ),
inference(forward_demodulation,[],[f6520,f33]) ).
fof(f6520,plain,
( sK2 = sum(pred(n8),n16)
| ~ spl3_19
| ~ spl3_32 ),
inference(forward_demodulation,[],[f6519,f435]) ).
fof(f435,plain,
n8 = sum(n18,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f6519,plain,
( sK2 = sum(pred(sum(n18,n11)),n16)
| ~ spl3_19
| ~ spl3_32 ),
inference(forward_demodulation,[],[f6518,f14]) ).
fof(f6518,plain,
( sK2 = sum(pred(sum(n18,succ(n10))),n16)
| ~ spl3_19
| ~ spl3_32 ),
inference(forward_demodulation,[],[f6517,f262]) ).
fof(f6517,plain,
( sK2 = sum(pred(sum(n18,succ(n10))),sum(n10,n6))
| ~ spl3_19
| ~ spl3_32 ),
inference(forward_demodulation,[],[f6516,f32]) ).
fof(f6516,plain,
( sK2 = sum(pred(sum(n18,succ(n10))),sum(n10,pred(n7)))
| ~ spl3_19
| ~ spl3_32 ),
inference(forward_demodulation,[],[f6515,f434]) ).
fof(f6515,plain,
( sK2 = sum(pred(sum(n18,succ(n10))),sum(n10,pred(sum(n18,n10))))
| ~ spl3_19
| ~ spl3_32 ),
inference(forward_demodulation,[],[f6497,f796]) ).
fof(f6497,plain,
( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
| ~ spl3_32 ),
inference(superposition,[],[f489,f870]) ).
fof(f6496,plain,
( ~ spl3_19
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f6495]) ).
fof(f6495,plain,
( $false
| ~ spl3_19
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f6494,f504]) ).
fof(f6494,plain,
( n14 = sK2
| ~ spl3_19
| ~ spl3_36 ),
inference(forward_demodulation,[],[f6493,f280]) ).
fof(f6493,plain,
( sum(n11,n3) = sK2
| ~ spl3_19
| ~ spl3_36 ),
inference(forward_demodulation,[],[f6492,f37]) ).
fof(f6492,plain,
( sK2 = sum(pred(n12),n3)
| ~ spl3_19
| ~ spl3_36 ),
inference(forward_demodulation,[],[f6491,f439]) ).
fof(f6491,plain,
( sK2 = sum(pred(sum(n18,n15)),n3)
| ~ spl3_19
| ~ spl3_36 ),
inference(forward_demodulation,[],[f6490,f18]) ).
fof(f6490,plain,
( sK2 = sum(pred(sum(n18,succ(n14))),n3)
| ~ spl3_19
| ~ spl3_36 ),
inference(forward_demodulation,[],[f6489,f350]) ).
fof(f350,plain,
n3 = sum(n14,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f6489,plain,
( sK2 = sum(pred(sum(n18,succ(n14))),sum(n14,n10))
| ~ spl3_19
| ~ spl3_36 ),
inference(forward_demodulation,[],[f6488,f36]) ).
fof(f6488,plain,
( sK2 = sum(pred(sum(n18,succ(n14))),sum(n14,pred(n11)))
| ~ spl3_19
| ~ spl3_36 ),
inference(forward_demodulation,[],[f6487,f438]) ).
fof(f6487,plain,
( sK2 = sum(pred(sum(n18,succ(n14))),sum(n14,pred(sum(n18,n14))))
| ~ spl3_19
| ~ spl3_36 ),
inference(forward_demodulation,[],[f6468,f796]) ).
fof(f6468,plain,
( sK2 = sum(pred(sum(sK0,succ(n14))),sum(n14,pred(sum(sK0,n14))))
| ~ spl3_36 ),
inference(superposition,[],[f489,f886]) ).
fof(f6467,plain,
( ~ spl3_19
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f6466]) ).
fof(f6466,plain,
( $false
| ~ spl3_19
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f6465,f510]) ).
fof(f6465,plain,
( n20 = sK2
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6464,f466]) ).
fof(f6464,plain,
( sum(n20,n0) = sK2
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6463,f25]) ).
fof(f6463,plain,
( sK2 = sum(pred(n0),n0)
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6462,f427]) ).
fof(f6462,plain,
( sK2 = sum(pred(sum(n18,n3)),n0)
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6461,f6]) ).
fof(f6461,plain,
( sK2 = sum(pred(sum(n18,succ(n2))),n0)
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6460,f107]) ).
fof(f6460,plain,
( sK2 = sum(pred(sum(n18,succ(n2))),sum(n2,n19))
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6459,f45]) ).
fof(f6459,plain,
( sK2 = sum(pred(sum(n18,succ(n2))),sum(n2,pred(n20)))
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6458,f426]) ).
fof(f6458,plain,
( sK2 = sum(pred(sum(n18,succ(n2))),sum(n2,pred(sum(n18,n2))))
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f6440,f796]) ).
fof(f6440,plain,
( sK2 = sum(pred(sum(sK0,succ(n2))),sum(n2,pred(sum(sK0,n2))))
| ~ spl3_24 ),
inference(superposition,[],[f489,f838]) ).
fof(f6439,plain,
( ~ spl3_19
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f6438]) ).
fof(f6438,plain,
( $false
| ~ spl3_19
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f6437,f507]) ).
fof(f6437,plain,
( n17 = sK2
| ~ spl3_19
| ~ spl3_23 ),
inference(forward_demodulation,[],[f6436,f464]) ).
fof(f6436,plain,
( sum(n19,n19) = sK2
| ~ spl3_19
| ~ spl3_23 ),
inference(forward_demodulation,[],[f6435,f45]) ).
fof(f6435,plain,
( sK2 = sum(pred(n20),n19)
| ~ spl3_19
| ~ spl3_23 ),
inference(forward_demodulation,[],[f6434,f426]) ).
fof(f6434,plain,
( sK2 = sum(pred(sum(n18,n2)),n19)
| ~ spl3_19
| ~ spl3_23 ),
inference(forward_demodulation,[],[f6433,f5]) ).
fof(f6433,plain,
( sK2 = sum(pred(sum(n18,succ(n1))),n19)
| ~ spl3_19
| ~ spl3_23 ),
inference(forward_demodulation,[],[f6432,f85]) ).
fof(f6432,plain,
( sK2 = sum(pred(sum(n18,succ(n1))),sum(n1,n18))
| ~ spl3_19
| ~ spl3_23 ),
inference(forward_demodulation,[],[f6431,f44]) ).
fof(f6431,plain,
( sK2 = sum(pred(sum(n18,succ(n1))),sum(n1,pred(n19)))
| ~ spl3_19
| ~ spl3_23 ),
inference(forward_demodulation,[],[f6430,f425]) ).
fof(f6430,plain,
( sK2 = sum(pred(sum(n18,succ(n1))),sum(n1,pred(sum(n18,n1))))
| ~ spl3_19
| ~ spl3_23 ),
inference(forward_demodulation,[],[f6412,f796]) ).
fof(f6412,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_23 ),
inference(superposition,[],[f489,f834]) ).
fof(f6411,plain,
( ~ spl3_19
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f6410]) ).
fof(f6410,plain,
( $false
| ~ spl3_19
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f6409,f507]) ).
fof(f6409,plain,
( n17 = sK2
| ~ spl3_19
| ~ spl3_30 ),
inference(forward_demodulation,[],[f6408,f163]) ).
fof(f6408,plain,
( sum(n5,n12) = sK2
| ~ spl3_19
| ~ spl3_30 ),
inference(forward_demodulation,[],[f6407,f31]) ).
fof(f6407,plain,
( sK2 = sum(pred(n6),n12)
| ~ spl3_19
| ~ spl3_30 ),
inference(forward_demodulation,[],[f6406,f433]) ).
fof(f6406,plain,
( sK2 = sum(pred(sum(n18,n9)),n12)
| ~ spl3_19
| ~ spl3_30 ),
inference(forward_demodulation,[],[f6405,f12]) ).
fof(f6405,plain,
( sK2 = sum(pred(sum(n18,succ(n8))),n12)
| ~ spl3_19
| ~ spl3_30 ),
inference(forward_demodulation,[],[f6404,f218]) ).
fof(f6404,plain,
( sK2 = sum(pred(sum(n18,succ(n8))),sum(n8,n4))
| ~ spl3_19
| ~ spl3_30 ),
inference(forward_demodulation,[],[f6403,f30]) ).
fof(f6403,plain,
( sK2 = sum(pred(sum(n18,succ(n8))),sum(n8,pred(n5)))
| ~ spl3_19
| ~ spl3_30 ),
inference(forward_demodulation,[],[f6402,f432]) ).
fof(f6402,plain,
( sK2 = sum(pred(sum(n18,succ(n8))),sum(n8,pred(sum(n18,n8))))
| ~ spl3_19
| ~ spl3_30 ),
inference(forward_demodulation,[],[f6383,f796]) ).
fof(f6383,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_30 ),
inference(superposition,[],[f489,f862]) ).
fof(f6382,plain,
( ~ spl3_19
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f6381]) ).
fof(f6381,plain,
( $false
| ~ spl3_19
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f6380,f498]) ).
fof(f6380,plain,
( n8 = sK2
| ~ spl3_19
| ~ spl3_41 ),
inference(forward_demodulation,[],[f6379,f395]) ).
fof(f6379,plain,
( sum(n16,n13) = sK2
| ~ spl3_19
| ~ spl3_41 ),
inference(forward_demodulation,[],[f6378,f42]) ).
fof(f6378,plain,
( sK2 = sum(pred(n17),n13)
| ~ spl3_19
| ~ spl3_41 ),
inference(forward_demodulation,[],[f6377,f444]) ).
fof(f6377,plain,
( sK2 = sum(pred(sum(n18,n20)),n13)
| ~ spl3_19
| ~ spl3_41 ),
inference(forward_demodulation,[],[f6376,f23]) ).
fof(f6376,plain,
( sK2 = sum(pred(sum(n18,succ(n19))),n13)
| ~ spl3_19
| ~ spl3_41 ),
inference(forward_demodulation,[],[f6375,f460]) ).
fof(f6375,plain,
( sK2 = sum(pred(sum(n18,succ(n19))),sum(n19,n15))
| ~ spl3_19
| ~ spl3_41 ),
inference(forward_demodulation,[],[f6374,f41]) ).
fof(f6374,plain,
( sK2 = sum(pred(sum(n18,succ(n19))),sum(n19,pred(n16)))
| ~ spl3_19
| ~ spl3_41 ),
inference(forward_demodulation,[],[f6373,f443]) ).
fof(f6373,plain,
( sK2 = sum(pred(sum(n18,succ(n19))),sum(n19,pred(sum(n18,n19))))
| ~ spl3_19
| ~ spl3_41 ),
inference(forward_demodulation,[],[f6353,f796]) ).
fof(f6353,plain,
( sK2 = sum(pred(sum(sK0,succ(n19))),sum(n19,pred(sum(sK0,n19))))
| ~ spl3_41 ),
inference(superposition,[],[f489,f906]) ).
fof(f6352,plain,
( ~ spl3_19
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f6351]) ).
fof(f6351,plain,
( $false
| ~ spl3_19
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f6350,f492]) ).
fof(f6350,plain,
( n2 = sK2
| ~ spl3_19
| ~ spl3_25 ),
inference(forward_demodulation,[],[f6349,f48]) ).
fof(f6349,plain,
( sum(n0,n2) = sK2
| ~ spl3_19
| ~ spl3_25 ),
inference(forward_demodulation,[],[f6348,f26]) ).
fof(f6348,plain,
( sK2 = sum(pred(n1),n2)
| ~ spl3_19
| ~ spl3_25 ),
inference(forward_demodulation,[],[f6347,f428]) ).
fof(f6347,plain,
( sK2 = sum(pred(sum(n18,n4)),n2)
| ~ spl3_19
| ~ spl3_25 ),
inference(forward_demodulation,[],[f6346,f7]) ).
fof(f6346,plain,
( sK2 = sum(pred(sum(n18,succ(n3))),n2)
| ~ spl3_19
| ~ spl3_25 ),
inference(forward_demodulation,[],[f6345,f129]) ).
fof(f6345,plain,
( sK2 = sum(pred(sum(n18,succ(n3))),sum(n3,n20))
| ~ spl3_19
| ~ spl3_25 ),
inference(forward_demodulation,[],[f6344,f25]) ).
fof(f6344,plain,
( sK2 = sum(pred(sum(n18,succ(n3))),sum(n3,pred(n0)))
| ~ spl3_19
| ~ spl3_25 ),
inference(forward_demodulation,[],[f6343,f427]) ).
fof(f6343,plain,
( sK2 = sum(pred(sum(n18,succ(n3))),sum(n3,pred(sum(n18,n3))))
| ~ spl3_19
| ~ spl3_25 ),
inference(forward_demodulation,[],[f6327,f796]) ).
fof(f6327,plain,
( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
| ~ spl3_25 ),
inference(superposition,[],[f489,f842]) ).
fof(f6326,plain,
( ~ spl3_19
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f6325]) ).
fof(f6325,plain,
( $false
| ~ spl3_19
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f6324,f498]) ).
fof(f6324,plain,
( n8 = sK2
| ~ spl3_19
| ~ spl3_34 ),
inference(forward_demodulation,[],[f6323,f255]) ).
fof(f6323,plain,
( sum(n9,n20) = sK2
| ~ spl3_19
| ~ spl3_34 ),
inference(forward_demodulation,[],[f6322,f35]) ).
fof(f6322,plain,
( sK2 = sum(pred(n10),n20)
| ~ spl3_19
| ~ spl3_34 ),
inference(forward_demodulation,[],[f6321,f437]) ).
fof(f437,plain,
n10 = sum(n18,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f6321,plain,
( sK2 = sum(pred(sum(n18,n13)),n20)
| ~ spl3_19
| ~ spl3_34 ),
inference(forward_demodulation,[],[f6320,f16]) ).
fof(f6320,plain,
( sK2 = sum(pred(sum(n18,succ(n12))),n20)
| ~ spl3_19
| ~ spl3_34 ),
inference(forward_demodulation,[],[f6319,f306]) ).
fof(f6319,plain,
( sK2 = sum(pred(sum(n18,succ(n12))),sum(n12,n8))
| ~ spl3_19
| ~ spl3_34 ),
inference(forward_demodulation,[],[f6318,f34]) ).
fof(f6318,plain,
( sK2 = sum(pred(sum(n18,succ(n12))),sum(n12,pred(n9)))
| ~ spl3_19
| ~ spl3_34 ),
inference(forward_demodulation,[],[f6317,f436]) ).
fof(f6317,plain,
( sK2 = sum(pred(sum(n18,succ(n12))),sum(n12,pred(sum(n18,n12))))
| ~ spl3_19
| ~ spl3_34 ),
inference(forward_demodulation,[],[f6300,f796]) ).
fof(f6300,plain,
( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
| ~ spl3_34 ),
inference(superposition,[],[f489,f878]) ).
fof(f6299,plain,
( ~ spl3_19
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f6298]) ).
fof(f6298,plain,
( $false
| ~ spl3_19
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f6297,f495]) ).
fof(f6297,plain,
( n5 = sK2
| ~ spl3_19
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6296,f71]) ).
fof(f6296,plain,
( sum(n1,n4) = sK2
| ~ spl3_19
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6295,f27]) ).
fof(f6295,plain,
( sK2 = sum(pred(n2),n4)
| ~ spl3_19
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6294,f429]) ).
fof(f6294,plain,
( sK2 = sum(pred(sum(n18,n5)),n4)
| ~ spl3_19
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6293,f8]) ).
fof(f6293,plain,
( sK2 = sum(pred(sum(n18,succ(n4))),n4)
| ~ spl3_19
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6292,f130]) ).
fof(f6292,plain,
( sK2 = sum(pred(sum(n18,succ(n4))),sum(n4,n0))
| ~ spl3_19
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6291,f26]) ).
fof(f6291,plain,
( sK2 = sum(pred(sum(n18,succ(n4))),sum(n4,pred(n1)))
| ~ spl3_19
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6290,f428]) ).
fof(f6290,plain,
( sK2 = sum(pred(sum(n18,succ(n4))),sum(n4,pred(sum(n18,n4))))
| ~ spl3_19
| ~ spl3_26 ),
inference(forward_demodulation,[],[f6275,f796]) ).
fof(f6275,plain,
( sK2 = sum(pred(sum(sK0,succ(n4))),sum(n4,pred(sum(sK0,n4))))
| ~ spl3_26 ),
inference(superposition,[],[f489,f846]) ).
fof(f6274,plain,
( ~ spl3_19
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f6273]) ).
fof(f6273,plain,
( $false
| ~ spl3_19
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f6272,f498]) ).
fof(f6272,plain,
( n8 = sK2
| ~ spl3_19
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6271,f94]) ).
fof(f6271,plain,
( sum(n2,n6) = sK2
| ~ spl3_19
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6270,f28]) ).
fof(f6270,plain,
( sK2 = sum(pred(n3),n6)
| ~ spl3_19
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6269,f430]) ).
fof(f6269,plain,
( sK2 = sum(pred(sum(n18,n6)),n6)
| ~ spl3_19
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6268,f9]) ).
fof(f6268,plain,
( sK2 = sum(pred(sum(n18,succ(n5))),n6)
| ~ spl3_19
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6267,f152]) ).
fof(f6267,plain,
( sK2 = sum(pred(sum(n18,succ(n5))),sum(n5,n1))
| ~ spl3_19
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6266,f27]) ).
fof(f6266,plain,
( sK2 = sum(pred(sum(n18,succ(n5))),sum(n5,pred(n2)))
| ~ spl3_19
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6265,f429]) ).
fof(f6265,plain,
( sK2 = sum(pred(sum(n18,succ(n5))),sum(n5,pred(sum(n18,n5))))
| ~ spl3_19
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6249,f796]) ).
fof(f6249,plain,
( sK2 = sum(pred(sum(sK0,succ(n5))),sum(n5,pred(sum(sK0,n5))))
| ~ spl3_27 ),
inference(superposition,[],[f489,f850]) ).
fof(f6248,plain,
( ~ spl3_19
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f6247]) ).
fof(f6247,plain,
( $false
| ~ spl3_19
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f6246,f504]) ).
fof(f6246,plain,
( n14 = sK2
| ~ spl3_19
| ~ spl3_29 ),
inference(forward_demodulation,[],[f6245,f140]) ).
fof(f6245,plain,
( sum(n4,n10) = sK2
| ~ spl3_19
| ~ spl3_29 ),
inference(forward_demodulation,[],[f6244,f30]) ).
fof(f6244,plain,
( sK2 = sum(pred(n5),n10)
| ~ spl3_19
| ~ spl3_29 ),
inference(forward_demodulation,[],[f6243,f432]) ).
fof(f6243,plain,
( sK2 = sum(pred(sum(n18,n8)),n10)
| ~ spl3_19
| ~ spl3_29 ),
inference(forward_demodulation,[],[f6242,f11]) ).
fof(f6242,plain,
( sK2 = sum(pred(sum(n18,succ(n7))),n10)
| ~ spl3_19
| ~ spl3_29 ),
inference(forward_demodulation,[],[f6241,f196]) ).
fof(f6241,plain,
( sK2 = sum(pred(sum(n18,succ(n7))),sum(n7,n3))
| ~ spl3_19
| ~ spl3_29 ),
inference(forward_demodulation,[],[f6240,f29]) ).
fof(f6240,plain,
( sK2 = sum(pred(sum(n18,succ(n7))),sum(n7,pred(n4)))
| ~ spl3_19
| ~ spl3_29 ),
inference(forward_demodulation,[],[f6239,f431]) ).
fof(f6239,plain,
( sK2 = sum(pred(sum(n18,succ(n7))),sum(n7,pred(sum(n18,n7))))
| ~ spl3_19
| ~ spl3_29 ),
inference(forward_demodulation,[],[f6222,f796]) ).
fof(f6222,plain,
( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
| ~ spl3_29 ),
inference(superposition,[],[f489,f858]) ).
fof(f6200,plain,
( ~ spl3_8
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f6199]) ).
fof(f6199,plain,
( $false
| ~ spl3_8
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f6198,f506]) ).
fof(f6198,plain,
( n16 = sK2
| ~ spl3_8
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6197,f82]) ).
fof(f82,plain,
n16 = sum(n1,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f6197,plain,
( sum(n1,n15) = sK2
| ~ spl3_8
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6196,f27]) ).
fof(f6196,plain,
( sK2 = sum(pred(n2),n15)
| ~ spl3_8
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6195,f209]) ).
fof(f6195,plain,
( sK2 = sum(pred(sum(n7,n16)),n15)
| ~ spl3_8
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6194,f19]) ).
fof(f19,plain,
succ(n15) = n16,
inference(cnf_transformation,[],[f3]) ).
fof(f6194,plain,
( sK2 = sum(pred(sum(n7,succ(n15))),n15)
| ~ spl3_8
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6193,f361]) ).
fof(f6193,plain,
( sK2 = sum(pred(sum(n7,succ(n15))),sum(n15,n0))
| ~ spl3_8
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6192,f26]) ).
fof(f6192,plain,
( sK2 = sum(pred(sum(n7,succ(n15))),sum(n15,pred(n1)))
| ~ spl3_8
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6191,f208]) ).
fof(f6191,plain,
( sK2 = sum(pred(sum(n7,succ(n15))),sum(n15,pred(sum(n7,n15))))
| ~ spl3_8
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6171,f890]) ).
fof(f890,plain,
( n15 = sK1
| ~ spl3_37 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f888,plain,
( spl3_37
<=> n15 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_37])]) ).
fof(f6171,plain,
( sK2 = sum(pred(sum(n7,succ(sK1))),sum(sK1,pred(sum(n7,sK1))))
| ~ spl3_8 ),
inference(superposition,[],[f489,f752]) ).
fof(f6170,plain,
( ~ spl3_21
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f6169]) ).
fof(f6169,plain,
( $false
| ~ spl3_21
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f6168,f490]) ).
fof(f6168,plain,
( n0 = sK2
| ~ spl3_21
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6167,f347]) ).
fof(f347,plain,
n0 = sum(n14,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f6167,plain,
( sum(n14,n7) = sK2
| ~ spl3_21
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6166,f40]) ).
fof(f6166,plain,
( sK2 = sum(pred(n15),n7)
| ~ spl3_21
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6165,f482]) ).
fof(f6165,plain,
( sK2 = sum(pred(sum(n20,n16)),n7)
| ~ spl3_21
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6164,f19]) ).
fof(f6164,plain,
( sK2 = sum(pred(sum(n20,succ(n15))),n7)
| ~ spl3_21
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6163,f374]) ).
fof(f374,plain,
n7 = sum(n15,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f6163,plain,
( sK2 = sum(pred(sum(n20,succ(n15))),sum(n15,n13))
| ~ spl3_21
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6162,f39]) ).
fof(f6162,plain,
( sK2 = sum(pred(sum(n20,succ(n15))),sum(n15,pred(n14)))
| ~ spl3_21
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6161,f481]) ).
fof(f6161,plain,
( sK2 = sum(pred(sum(n20,succ(n15))),sum(n15,pred(sum(n20,n15))))
| ~ spl3_21
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6140,f890]) ).
fof(f6140,plain,
( sK2 = sum(pred(sum(n20,succ(sK1))),sum(sK1,pred(sum(n20,sK1))))
| ~ spl3_21 ),
inference(superposition,[],[f489,f804]) ).
fof(f6139,plain,
( ~ spl3_5
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f6138]) ).
fof(f6138,plain,
( $false
| ~ spl3_5
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f6137,f500]) ).
fof(f6137,plain,
( n10 = sK2
| ~ spl3_5
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6136,f457]) ).
fof(f6136,plain,
( sum(n19,n12) = sK2
| ~ spl3_5
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6135,f45]) ).
fof(f6135,plain,
( sK2 = sum(pred(n20),n12)
| ~ spl3_5
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6134,f146]) ).
fof(f6134,plain,
( sK2 = sum(pred(sum(n4,n16)),n12)
| ~ spl3_5
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6133,f19]) ).
fof(f6133,plain,
( sK2 = sum(pred(sum(n4,succ(n15))),n12)
| ~ spl3_5
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6132,f379]) ).
fof(f6132,plain,
( sK2 = sum(pred(sum(n4,succ(n15))),sum(n15,n18))
| ~ spl3_5
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6131,f44]) ).
fof(f6131,plain,
( sK2 = sum(pred(sum(n4,succ(n15))),sum(n15,pred(n19)))
| ~ spl3_5
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6130,f145]) ).
fof(f6130,plain,
( sK2 = sum(pred(sum(n4,succ(n15))),sum(n15,pred(sum(n4,n15))))
| ~ spl3_5
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6112,f890]) ).
fof(f6112,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f489,f740]) ).
fof(f6111,plain,
( ~ spl3_19
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f6110]) ).
fof(f6110,plain,
( $false
| ~ spl3_19
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f6109,f507]) ).
fof(f6109,plain,
( n17 = sK2
| ~ spl3_19
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6108,f303]) ).
fof(f6108,plain,
( sum(n12,n5) = sK2
| ~ spl3_19
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6107,f38]) ).
fof(f6107,plain,
( sK2 = sum(pred(n13),n5)
| ~ spl3_19
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6106,f440]) ).
fof(f6106,plain,
( sK2 = sum(pred(sum(n18,n16)),n5)
| ~ spl3_19
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6105,f19]) ).
fof(f6105,plain,
( sK2 = sum(pred(sum(n18,succ(n15))),n5)
| ~ spl3_19
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6104,f372]) ).
fof(f6104,plain,
( sK2 = sum(pred(sum(n18,succ(n15))),sum(n15,n11))
| ~ spl3_19
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6103,f37]) ).
fof(f6103,plain,
( sK2 = sum(pred(sum(n18,succ(n15))),sum(n15,pred(n12)))
| ~ spl3_19
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6102,f439]) ).
fof(f6102,plain,
( sK2 = sum(pred(sum(n18,succ(n15))),sum(n15,pred(sum(n18,n15))))
| ~ spl3_19
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6083,f890]) ).
fof(f6083,plain,
( sK2 = sum(pred(sum(n18,succ(sK1))),sum(sK1,pred(sum(n18,sK1))))
| ~ spl3_19 ),
inference(superposition,[],[f489,f796]) ).
fof(f6082,plain,
( ~ spl3_1
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f6081]) ).
fof(f6081,plain,
( $false
| ~ spl3_1
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f6080,f492]) ).
fof(f6080,plain,
( n2 = sK2
| ~ spl3_1
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6079,f369]) ).
fof(f369,plain,
n2 = sum(n15,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f6079,plain,
( sum(n15,n8) = sK2
| ~ spl3_1
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6078,f41]) ).
fof(f6078,plain,
( sK2 = sum(pred(n16),n8)
| ~ spl3_1
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6077,f62]) ).
fof(f6077,plain,
( sK2 = sum(pred(sum(n0,n16)),n8)
| ~ spl3_1
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6076,f19]) ).
fof(f6076,plain,
( sK2 = sum(pred(sum(n0,succ(n15))),n8)
| ~ spl3_1
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6075,f375]) ).
fof(f375,plain,
n8 = sum(n15,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f6075,plain,
( sK2 = sum(pred(sum(n0,succ(n15))),sum(n15,n14))
| ~ spl3_1
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6074,f40]) ).
fof(f6074,plain,
( sK2 = sum(pred(sum(n0,succ(n15))),sum(n15,pred(n15)))
| ~ spl3_1
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6073,f61]) ).
fof(f6073,plain,
( sK2 = sum(pred(sum(n0,succ(n15))),sum(n15,pred(sum(n0,n15))))
| ~ spl3_1
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6057,f890]) ).
fof(f6057,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f489,f724]) ).
fof(f6056,plain,
( ~ spl3_3
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f6055]) ).
fof(f6055,plain,
( $false
| ~ spl3_3
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f6054,f496]) ).
fof(f6054,plain,
( n6 = sK2
| ~ spl3_3
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6053,f413]) ).
fof(f413,plain,
n6 = sum(n17,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f6053,plain,
( sum(n17,n10) = sK2
| ~ spl3_3
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6052,f43]) ).
fof(f6052,plain,
( sK2 = sum(pred(n18),n10)
| ~ spl3_3
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6051,f104]) ).
fof(f6051,plain,
( sK2 = sum(pred(sum(n2,n16)),n10)
| ~ spl3_3
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6050,f19]) ).
fof(f6050,plain,
( sK2 = sum(pred(sum(n2,succ(n15))),n10)
| ~ spl3_3
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6049,f377]) ).
fof(f6049,plain,
( sK2 = sum(pred(sum(n2,succ(n15))),sum(n15,n16))
| ~ spl3_3
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6048,f42]) ).
fof(f6048,plain,
( sK2 = sum(pred(sum(n2,succ(n15))),sum(n15,pred(n17)))
| ~ spl3_3
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6047,f103]) ).
fof(f6047,plain,
( sK2 = sum(pred(sum(n2,succ(n15))),sum(n15,pred(sum(n2,n15))))
| ~ spl3_3
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6030,f890]) ).
fof(f6030,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f489,f732]) ).
fof(f6029,plain,
( ~ spl3_4
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f6028]) ).
fof(f6028,plain,
( $false
| ~ spl3_4
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f6027,f498]) ).
fof(f6027,plain,
( n8 = sK2
| ~ spl3_4
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6026,f435]) ).
fof(f6026,plain,
( sum(n18,n11) = sK2
| ~ spl3_4
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6025,f44]) ).
fof(f6025,plain,
( sK2 = sum(pred(n19),n11)
| ~ spl3_4
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6024,f125]) ).
fof(f6024,plain,
( sK2 = sum(pred(sum(n3,n16)),n11)
| ~ spl3_4
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6023,f19]) ).
fof(f6023,plain,
( sK2 = sum(pred(sum(n3,succ(n15))),n11)
| ~ spl3_4
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6022,f378]) ).
fof(f6022,plain,
( sK2 = sum(pred(sum(n3,succ(n15))),sum(n15,n17))
| ~ spl3_4
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6021,f43]) ).
fof(f6021,plain,
( sK2 = sum(pred(sum(n3,succ(n15))),sum(n15,pred(n18)))
| ~ spl3_4
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6020,f124]) ).
fof(f6020,plain,
( sK2 = sum(pred(sum(n3,succ(n15))),sum(n15,pred(sum(n3,n15))))
| ~ spl3_4
| ~ spl3_37 ),
inference(forward_demodulation,[],[f6002,f890]) ).
fof(f6002,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f489,f736]) ).
fof(f6001,plain,
( ~ spl3_11
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f6000]) ).
fof(f6000,plain,
( $false
| ~ spl3_11
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f5999,f491]) ).
fof(f5999,plain,
( n1 = sK2
| ~ spl3_11
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5998,f148]) ).
fof(f5998,plain,
( sum(n4,n18) = sK2
| ~ spl3_11
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5997,f30]) ).
fof(f5997,plain,
( sK2 = sum(pred(n5),n18)
| ~ spl3_11
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5996,f272]) ).
fof(f5996,plain,
( sK2 = sum(pred(sum(n10,n16)),n18)
| ~ spl3_11
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5995,f19]) ).
fof(f5995,plain,
( sK2 = sum(pred(sum(n10,succ(n15))),n18)
| ~ spl3_11
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5994,f364]) ).
fof(f5994,plain,
( sK2 = sum(pred(sum(n10,succ(n15))),sum(n15,n3))
| ~ spl3_11
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5993,f29]) ).
fof(f5993,plain,
( sK2 = sum(pred(sum(n10,succ(n15))),sum(n15,pred(n4)))
| ~ spl3_11
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5992,f271]) ).
fof(f5992,plain,
( sK2 = sum(pred(sum(n10,succ(n15))),sum(n15,pred(sum(n10,n15))))
| ~ spl3_11
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5973,f890]) ).
fof(f5973,plain,
( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
| ~ spl3_11 ),
inference(superposition,[],[f489,f764]) ).
fof(f5972,plain,
( ~ spl3_20
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f5971]) ).
fof(f5971,plain,
( $false
| ~ spl3_20
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f5970,f509]) ).
fof(f5970,plain,
( n19 = sK2
| ~ spl3_20
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5969,f325]) ).
fof(f5969,plain,
( sum(n13,n6) = sK2
| ~ spl3_20
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5968,f39]) ).
fof(f5968,plain,
( sK2 = sum(pred(n14),n6)
| ~ spl3_20
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5967,f461]) ).
fof(f5967,plain,
( sK2 = sum(pred(sum(n19,n16)),n6)
| ~ spl3_20
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5966,f19]) ).
fof(f5966,plain,
( sK2 = sum(pred(sum(n19,succ(n15))),n6)
| ~ spl3_20
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5965,f373]) ).
fof(f373,plain,
n6 = sum(n15,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f5965,plain,
( sK2 = sum(pred(sum(n19,succ(n15))),sum(n15,n12))
| ~ spl3_20
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5964,f38]) ).
fof(f5964,plain,
( sK2 = sum(pred(sum(n19,succ(n15))),sum(n15,pred(n13)))
| ~ spl3_20
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5963,f460]) ).
fof(f5963,plain,
( sK2 = sum(pred(sum(n19,succ(n15))),sum(n15,pred(sum(n19,n15))))
| ~ spl3_20
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5943,f890]) ).
fof(f5943,plain,
( sK2 = sum(pred(sum(n19,succ(sK1))),sum(sK1,pred(sum(n19,sK1))))
| ~ spl3_20 ),
inference(superposition,[],[f489,f800]) ).
fof(f5942,plain,
( ~ spl3_7
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f5941]) ).
fof(f5941,plain,
( $false
| ~ spl3_7
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f5940,f504]) ).
fof(f5940,plain,
( n14 = sK2
| ~ spl3_7
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5939,f60]) ).
fof(f5939,plain,
( sum(n0,n14) = sK2
| ~ spl3_7
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5938,f26]) ).
fof(f5938,plain,
( sK2 = sum(pred(n1),n14)
| ~ spl3_7
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5937,f188]) ).
fof(f5937,plain,
( sK2 = sum(pred(sum(n6,n16)),n14)
| ~ spl3_7
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5936,f19]) ).
fof(f5936,plain,
( sK2 = sum(pred(sum(n6,succ(n15))),n14)
| ~ spl3_7
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5935,f381]) ).
fof(f5935,plain,
( sK2 = sum(pred(sum(n6,succ(n15))),sum(n15,n20))
| ~ spl3_7
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5934,f25]) ).
fof(f5934,plain,
( sK2 = sum(pred(sum(n6,succ(n15))),sum(n15,pred(n0)))
| ~ spl3_7
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5933,f187]) ).
fof(f5933,plain,
( sK2 = sum(pred(sum(n6,succ(n15))),sum(n15,pred(sum(n6,n15))))
| ~ spl3_7
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5918,f890]) ).
fof(f5918,plain,
( sK2 = sum(pred(sum(n6,succ(sK1))),sum(sK1,pred(sum(n6,sK1))))
| ~ spl3_7 ),
inference(superposition,[],[f489,f748]) ).
fof(f5917,plain,
( ~ spl3_12
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f5916]) ).
fof(f5916,plain,
( $false
| ~ spl3_12
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f5915,f493]) ).
fof(f5915,plain,
( n3 = sK2
| ~ spl3_12
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5914,f170]) ).
fof(f5914,plain,
( sum(n5,n19) = sK2
| ~ spl3_12
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5913,f31]) ).
fof(f5913,plain,
( sK2 = sum(pred(n6),n19)
| ~ spl3_12
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5912,f293]) ).
fof(f5912,plain,
( sK2 = sum(pred(sum(n11,n16)),n19)
| ~ spl3_12
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5911,f19]) ).
fof(f5911,plain,
( sK2 = sum(pred(sum(n11,succ(n15))),n19)
| ~ spl3_12
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5910,f365]) ).
fof(f365,plain,
n19 = sum(n15,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f5910,plain,
( sK2 = sum(pred(sum(n11,succ(n15))),sum(n15,n4))
| ~ spl3_12
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5909,f30]) ).
fof(f5909,plain,
( sK2 = sum(pred(sum(n11,succ(n15))),sum(n15,pred(n5)))
| ~ spl3_12
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5908,f292]) ).
fof(f5908,plain,
( sK2 = sum(pred(sum(n11,succ(n15))),sum(n15,pred(sum(n11,n15))))
| ~ spl3_12
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5892,f890]) ).
fof(f5892,plain,
( sK2 = sum(pred(sum(n11,succ(sK1))),sum(sK1,pred(sum(n11,sK1))))
| ~ spl3_12 ),
inference(superposition,[],[f489,f768]) ).
fof(f5891,plain,
( ~ spl3_9
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f5890]) ).
fof(f5890,plain,
( $false
| ~ spl3_9
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f5889,f508]) ).
fof(f5889,plain,
( n18 = sK2
| ~ spl3_9
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5888,f104]) ).
fof(f5888,plain,
( sum(n2,n16) = sK2
| ~ spl3_9
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5887,f28]) ).
fof(f5887,plain,
( sK2 = sum(pred(n3),n16)
| ~ spl3_9
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5886,f230]) ).
fof(f5886,plain,
( sK2 = sum(pred(sum(n8,n16)),n16)
| ~ spl3_9
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5885,f19]) ).
fof(f5885,plain,
( sK2 = sum(pred(sum(n8,succ(n15))),n16)
| ~ spl3_9
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5884,f362]) ).
fof(f5884,plain,
( sK2 = sum(pred(sum(n8,succ(n15))),sum(n15,n1))
| ~ spl3_9
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5883,f27]) ).
fof(f5883,plain,
( sK2 = sum(pred(sum(n8,succ(n15))),sum(n15,pred(n2)))
| ~ spl3_9
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5882,f229]) ).
fof(f5882,plain,
( sK2 = sum(pred(sum(n8,succ(n15))),sum(n15,pred(sum(n8,n15))))
| ~ spl3_9
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5866,f890]) ).
fof(f5866,plain,
( sK2 = sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1))))
| ~ spl3_9 ),
inference(superposition,[],[f489,f756]) ).
fof(f5865,plain,
( ~ spl3_13
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f5864]) ).
fof(f5864,plain,
( $false
| ~ spl3_13
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f5863,f495]) ).
fof(f5863,plain,
( n5 = sK2
| ~ spl3_13
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5862,f192]) ).
fof(f5862,plain,
( sum(n6,n20) = sK2
| ~ spl3_13
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5861,f32]) ).
fof(f5861,plain,
( sK2 = sum(pred(n7),n20)
| ~ spl3_13
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5860,f314]) ).
fof(f5860,plain,
( sK2 = sum(pred(sum(n12,n16)),n20)
| ~ spl3_13
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5859,f19]) ).
fof(f5859,plain,
( sK2 = sum(pred(sum(n12,succ(n15))),n20)
| ~ spl3_13
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5858,f366]) ).
fof(f5858,plain,
( sK2 = sum(pred(sum(n12,succ(n15))),sum(n15,n5))
| ~ spl3_13
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5857,f31]) ).
fof(f5857,plain,
( sK2 = sum(pred(sum(n12,succ(n15))),sum(n15,pred(n6)))
| ~ spl3_13
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5856,f313]) ).
fof(f5856,plain,
( sK2 = sum(pred(sum(n12,succ(n15))),sum(n15,pred(sum(n12,n15))))
| ~ spl3_13
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5839,f890]) ).
fof(f5839,plain,
( sK2 = sum(pred(sum(n12,succ(sK1))),sum(sK1,pred(sum(n12,sK1))))
| ~ spl3_13 ),
inference(superposition,[],[f489,f772]) ).
fof(f5838,plain,
( ~ spl3_14
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f5837]) ).
fof(f5837,plain,
( $false
| ~ spl3_14
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f5836,f497]) ).
fof(f5836,plain,
( n7 = sK2
| ~ spl3_14
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5835,f193]) ).
fof(f5835,plain,
( sum(n7,n0) = sK2
| ~ spl3_14
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5834,f33]) ).
fof(f5834,plain,
( sK2 = sum(pred(n8),n0)
| ~ spl3_14
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5833,f335]) ).
fof(f5833,plain,
( sK2 = sum(pred(sum(n13,n16)),n0)
| ~ spl3_14
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5832,f19]) ).
fof(f5832,plain,
( sK2 = sum(pred(sum(n13,succ(n15))),n0)
| ~ spl3_14
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5831,f367]) ).
fof(f367,plain,
n0 = sum(n15,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f5831,plain,
( sK2 = sum(pred(sum(n13,succ(n15))),sum(n15,n6))
| ~ spl3_14
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5830,f32]) ).
fof(f5830,plain,
( sK2 = sum(pred(sum(n13,succ(n15))),sum(n15,pred(n7)))
| ~ spl3_14
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5829,f334]) ).
fof(f5829,plain,
( sK2 = sum(pred(sum(n13,succ(n15))),sum(n15,pred(sum(n13,n15))))
| ~ spl3_14
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5811,f890]) ).
fof(f5811,plain,
( sK2 = sum(pred(sum(n13,succ(sK1))),sum(sK1,pred(sum(n13,sK1))))
| ~ spl3_14 ),
inference(superposition,[],[f489,f776]) ).
fof(f5810,plain,
( ~ spl3_10
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f5809]) ).
fof(f5809,plain,
( $false
| ~ spl3_10
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f5808,f510]) ).
fof(f5808,plain,
( n20 = sK2
| ~ spl3_10
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5807,f126]) ).
fof(f5807,plain,
( sum(n3,n17) = sK2
| ~ spl3_10
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5806,f29]) ).
fof(f5806,plain,
( sK2 = sum(pred(n4),n17)
| ~ spl3_10
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5805,f251]) ).
fof(f5805,plain,
( sK2 = sum(pred(sum(n9,n16)),n17)
| ~ spl3_10
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5804,f19]) ).
fof(f5804,plain,
( sK2 = sum(pred(sum(n9,succ(n15))),n17)
| ~ spl3_10
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5803,f363]) ).
fof(f363,plain,
n17 = sum(n15,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f5803,plain,
( sK2 = sum(pred(sum(n9,succ(n15))),sum(n15,n2))
| ~ spl3_10
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5802,f28]) ).
fof(f5802,plain,
( sK2 = sum(pred(sum(n9,succ(n15))),sum(n15,pred(n3)))
| ~ spl3_10
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5801,f250]) ).
fof(f5801,plain,
( sK2 = sum(pred(sum(n9,succ(n15))),sum(n15,pred(sum(n9,n15))))
| ~ spl3_10
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5783,f890]) ).
fof(f5783,plain,
( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
| ~ spl3_10 ),
inference(superposition,[],[f489,f760]) ).
fof(f5781,plain,
( ~ spl3_6
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f5780]) ).
fof(f5780,plain,
( $false
| ~ spl3_6
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f5779,f502]) ).
fof(f5779,plain,
( n12 = sK2
| ~ spl3_6
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5778,f479]) ).
fof(f5778,plain,
( sum(n20,n13) = sK2
| ~ spl3_6
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5777,f25]) ).
fof(f5777,plain,
( sK2 = sum(pred(n0),n13)
| ~ spl3_6
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5776,f167]) ).
fof(f5776,plain,
( sK2 = sum(pred(sum(n5,n16)),n13)
| ~ spl3_6
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5775,f19]) ).
fof(f5775,plain,
( sK2 = sum(pred(sum(n5,succ(n15))),n13)
| ~ spl3_6
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5774,f380]) ).
fof(f5774,plain,
( sK2 = sum(pred(sum(n5,succ(n15))),sum(n15,n19))
| ~ spl3_6
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5773,f45]) ).
fof(f5773,plain,
( sK2 = sum(pred(sum(n5,succ(n15))),sum(n15,pred(n20)))
| ~ spl3_6
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5772,f166]) ).
fof(f5772,plain,
( sK2 = sum(pred(sum(n5,succ(n15))),sum(n15,pred(sum(n5,n15))))
| ~ spl3_6
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5754,f744]) ).
fof(f5754,plain,
( sK2 = sum(pred(sum(sK0,succ(n15))),sum(n15,pred(sum(sK0,n15))))
| ~ spl3_37 ),
inference(superposition,[],[f489,f890]) ).
fof(f5732,plain,
( ~ spl3_18
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f5731]) ).
fof(f5731,plain,
( $false
| ~ spl3_18
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f5730,f505]) ).
fof(f5730,plain,
( n15 = sK2
| ~ spl3_18
| ~ spl3_30 ),
inference(forward_demodulation,[],[f5729,f141]) ).
fof(f5729,plain,
( sum(n4,n11) = sK2
| ~ spl3_18
| ~ spl3_30 ),
inference(forward_demodulation,[],[f5728,f30]) ).
fof(f5728,plain,
( sK2 = sum(pred(n5),n11)
| ~ spl3_18
| ~ spl3_30 ),
inference(forward_demodulation,[],[f5727,f412]) ).
fof(f5727,plain,
( sK2 = sum(pred(sum(n17,n9)),n11)
| ~ spl3_18
| ~ spl3_30 ),
inference(forward_demodulation,[],[f5726,f12]) ).
fof(f5726,plain,
( sK2 = sum(pred(sum(n17,succ(n8))),n11)
| ~ spl3_18
| ~ spl3_30 ),
inference(forward_demodulation,[],[f5725,f217]) ).
fof(f5725,plain,
( sK2 = sum(pred(sum(n17,succ(n8))),sum(n8,n3))
| ~ spl3_18
| ~ spl3_30 ),
inference(forward_demodulation,[],[f5724,f29]) ).
fof(f5724,plain,
( sK2 = sum(pred(sum(n17,succ(n8))),sum(n8,pred(n4)))
| ~ spl3_18
| ~ spl3_30 ),
inference(forward_demodulation,[],[f5723,f411]) ).
fof(f5723,plain,
( sK2 = sum(pred(sum(n17,succ(n8))),sum(n8,pred(sum(n17,n8))))
| ~ spl3_18
| ~ spl3_30 ),
inference(forward_demodulation,[],[f5706,f792]) ).
fof(f792,plain,
( n17 = sK0
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f790,plain,
( spl3_18
<=> n17 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f5706,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_30 ),
inference(superposition,[],[f489,f862]) ).
fof(f5705,plain,
( ~ spl3_18
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f5704]) ).
fof(f5704,plain,
( $false
| ~ spl3_18
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f5703,f505]) ).
fof(f5703,plain,
( n15 = sK2
| ~ spl3_18
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5702,f281]) ).
fof(f5702,plain,
( sum(n11,n4) = sK2
| ~ spl3_18
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5701,f37]) ).
fof(f5701,plain,
( sK2 = sum(pred(n12),n4)
| ~ spl3_18
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5700,f419]) ).
fof(f5700,plain,
( sK2 = sum(pred(sum(n17,n16)),n4)
| ~ spl3_18
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5699,f19]) ).
fof(f5699,plain,
( sK2 = sum(pred(sum(n17,succ(n15))),n4)
| ~ spl3_18
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5698,f371]) ).
fof(f5698,plain,
( sK2 = sum(pred(sum(n17,succ(n15))),sum(n15,n10))
| ~ spl3_18
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5697,f36]) ).
fof(f5697,plain,
( sK2 = sum(pred(sum(n17,succ(n15))),sum(n15,pred(n11)))
| ~ spl3_18
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5696,f418]) ).
fof(f5696,plain,
( sK2 = sum(pred(sum(n17,succ(n15))),sum(n15,pred(sum(n17,n15))))
| ~ spl3_18
| ~ spl3_37 ),
inference(forward_demodulation,[],[f5678,f792]) ).
fof(f5678,plain,
( sK2 = sum(pred(sum(sK0,succ(n15))),sum(n15,pred(sum(sK0,n15))))
| ~ spl3_37 ),
inference(superposition,[],[f489,f890]) ).
fof(f5677,plain,
( ~ spl3_18
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f5676]) ).
fof(f5676,plain,
( $false
| ~ spl3_18
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f5675,f508]) ).
fof(f5675,plain,
( n18 = sK2
| ~ spl3_18
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5674,f465]) ).
fof(f5674,plain,
( sum(n19,n20) = sK2
| ~ spl3_18
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5673,f45]) ).
fof(f5673,plain,
( sK2 = sum(pred(n20),n20)
| ~ spl3_18
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5672,f406]) ).
fof(f5672,plain,
( sK2 = sum(pred(sum(n17,n3)),n20)
| ~ spl3_18
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5671,f6]) ).
fof(f5671,plain,
( sK2 = sum(pred(sum(n17,succ(n2))),n20)
| ~ spl3_18
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5670,f106]) ).
fof(f5670,plain,
( sK2 = sum(pred(sum(n17,succ(n2))),sum(n2,n18))
| ~ spl3_18
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5669,f44]) ).
fof(f5669,plain,
( sK2 = sum(pred(sum(n17,succ(n2))),sum(n2,pred(n19)))
| ~ spl3_18
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5668,f405]) ).
fof(f5668,plain,
( sK2 = sum(pred(sum(n17,succ(n2))),sum(n2,pred(sum(n17,n2))))
| ~ spl3_18
| ~ spl3_24 ),
inference(forward_demodulation,[],[f5651,f792]) ).
fof(f5651,plain,
( sK2 = sum(pred(sum(sK0,succ(n2))),sum(n2,pred(sum(sK0,n2))))
| ~ spl3_24 ),
inference(superposition,[],[f489,f838]) ).
fof(f5650,plain,
( ~ spl3_18
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f5649]) ).
fof(f5649,plain,
( $false
| ~ spl3_18
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f5648,f490]) ).
fof(f5648,plain,
( n0 = sK2
| ~ spl3_18
| ~ spl3_25 ),
inference(forward_demodulation,[],[f5647,f467]) ).
fof(f5647,plain,
( sum(n20,n1) = sK2
| ~ spl3_18
| ~ spl3_25 ),
inference(forward_demodulation,[],[f5646,f25]) ).
fof(f5646,plain,
( sK2 = sum(pred(n0),n1)
| ~ spl3_18
| ~ spl3_25 ),
inference(forward_demodulation,[],[f5645,f407]) ).
fof(f5645,plain,
( sK2 = sum(pred(sum(n17,n4)),n1)
| ~ spl3_18
| ~ spl3_25 ),
inference(forward_demodulation,[],[f5644,f7]) ).
fof(f5644,plain,
( sK2 = sum(pred(sum(n17,succ(n3))),n1)
| ~ spl3_18
| ~ spl3_25 ),
inference(forward_demodulation,[],[f5643,f128]) ).
fof(f5643,plain,
( sK2 = sum(pred(sum(n17,succ(n3))),sum(n3,n19))
| ~ spl3_18
| ~ spl3_25 ),
inference(forward_demodulation,[],[f5642,f45]) ).
fof(f5642,plain,
( sK2 = sum(pred(sum(n17,succ(n3))),sum(n3,pred(n20)))
| ~ spl3_18
| ~ spl3_25 ),
inference(forward_demodulation,[],[f5641,f406]) ).
fof(f5641,plain,
( sK2 = sum(pred(sum(n17,succ(n3))),sum(n3,pred(sum(n17,n3))))
| ~ spl3_18
| ~ spl3_25 ),
inference(forward_demodulation,[],[f5623,f792]) ).
fof(f5623,plain,
( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
| ~ spl3_25 ),
inference(superposition,[],[f489,f842]) ).
fof(f5622,plain,
( ~ spl3_18
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f5621]) ).
fof(f5621,plain,
( $false
| ~ spl3_18
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f5620,f490]) ).
fof(f5620,plain,
( n0 = sK2
| ~ spl3_18
| ~ spl3_39 ),
inference(forward_demodulation,[],[f5619,f327]) ).
fof(f5619,plain,
( sum(n13,n8) = sK2
| ~ spl3_18
| ~ spl3_39 ),
inference(forward_demodulation,[],[f5618,f39]) ).
fof(f5618,plain,
( sK2 = sum(pred(n14),n8)
| ~ spl3_18
| ~ spl3_39 ),
inference(forward_demodulation,[],[f5617,f421]) ).
fof(f5617,plain,
( sK2 = sum(pred(sum(n17,n18)),n8)
| ~ spl3_18
| ~ spl3_39 ),
inference(forward_demodulation,[],[f5616,f21]) ).
fof(f5616,plain,
( sK2 = sum(pred(sum(n17,succ(n17))),n8)
| ~ spl3_18
| ~ spl3_39 ),
inference(forward_demodulation,[],[f5615,f415]) ).
fof(f5615,plain,
( sK2 = sum(pred(sum(n17,succ(n17))),sum(n17,n12))
| ~ spl3_18
| ~ spl3_39 ),
inference(forward_demodulation,[],[f5614,f38]) ).
fof(f5614,plain,
( sK2 = sum(pred(sum(n17,succ(n17))),sum(n17,pred(n13)))
| ~ spl3_18
| ~ spl3_39 ),
inference(forward_demodulation,[],[f5613,f420]) ).
fof(f420,plain,
n13 = sum(n17,n17),
inference(cnf_transformation,[],[f3]) ).
fof(f5613,plain,
( sK2 = sum(pred(sum(n17,succ(n17))),sum(n17,pred(sum(n17,n17))))
| ~ spl3_18
| ~ spl3_39 ),
inference(forward_demodulation,[],[f5594,f792]) ).
fof(f5594,plain,
( sK2 = sum(pred(sum(sK0,succ(n17))),sum(n17,pred(sum(sK0,n17))))
| ~ spl3_39 ),
inference(superposition,[],[f489,f898]) ).
fof(f5593,plain,
( ~ spl3_18
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f5592]) ).
fof(f5592,plain,
( $false
| ~ spl3_18
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f5591,f499]) ).
fof(f5591,plain,
( n9 = sK2
| ~ spl3_18
| ~ spl3_28 ),
inference(forward_demodulation,[],[f5590,f95]) ).
fof(f5590,plain,
( sum(n2,n7) = sK2
| ~ spl3_18
| ~ spl3_28 ),
inference(forward_demodulation,[],[f5589,f28]) ).
fof(f5589,plain,
( sK2 = sum(pred(n3),n7)
| ~ spl3_18
| ~ spl3_28 ),
inference(forward_demodulation,[],[f5588,f410]) ).
fof(f5588,plain,
( sK2 = sum(pred(sum(n17,n7)),n7)
| ~ spl3_18
| ~ spl3_28 ),
inference(forward_demodulation,[],[f5587,f10]) ).
fof(f5587,plain,
( sK2 = sum(pred(sum(n17,succ(n6))),n7)
| ~ spl3_18
| ~ spl3_28 ),
inference(forward_demodulation,[],[f5586,f173]) ).
fof(f5586,plain,
( sK2 = sum(pred(sum(n17,succ(n6))),sum(n6,n1))
| ~ spl3_18
| ~ spl3_28 ),
inference(forward_demodulation,[],[f5585,f27]) ).
fof(f5585,plain,
( sK2 = sum(pred(sum(n17,succ(n6))),sum(n6,pred(n2)))
| ~ spl3_18
| ~ spl3_28 ),
inference(forward_demodulation,[],[f5584,f409]) ).
fof(f5584,plain,
( sK2 = sum(pred(sum(n17,succ(n6))),sum(n6,pred(sum(n17,n6))))
| ~ spl3_18
| ~ spl3_28 ),
inference(forward_demodulation,[],[f5566,f792]) ).
fof(f5566,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_28 ),
inference(superposition,[],[f489,f854]) ).
fof(f5565,plain,
( ~ spl3_18
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f5564]) ).
fof(f5564,plain,
( $false
| ~ spl3_18
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f5563,f496]) ).
fof(f5563,plain,
( n6 = sK2
| ~ spl3_18
| ~ spl3_34 ),
inference(forward_demodulation,[],[f5562,f233]) ).
fof(f5562,plain,
( sum(n8,n19) = sK2
| ~ spl3_18
| ~ spl3_34 ),
inference(forward_demodulation,[],[f5561,f34]) ).
fof(f5561,plain,
( sK2 = sum(pred(n9),n19)
| ~ spl3_18
| ~ spl3_34 ),
inference(forward_demodulation,[],[f5560,f416]) ).
fof(f5560,plain,
( sK2 = sum(pred(sum(n17,n13)),n19)
| ~ spl3_18
| ~ spl3_34 ),
inference(forward_demodulation,[],[f5559,f16]) ).
fof(f5559,plain,
( sK2 = sum(pred(sum(n17,succ(n12))),n19)
| ~ spl3_18
| ~ spl3_34 ),
inference(forward_demodulation,[],[f5558,f305]) ).
fof(f5558,plain,
( sK2 = sum(pred(sum(n17,succ(n12))),sum(n12,n7))
| ~ spl3_18
| ~ spl3_34 ),
inference(forward_demodulation,[],[f5557,f33]) ).
fof(f5557,plain,
( sK2 = sum(pred(sum(n17,succ(n12))),sum(n12,pred(n8)))
| ~ spl3_18
| ~ spl3_34 ),
inference(forward_demodulation,[],[f5556,f415]) ).
fof(f5556,plain,
( sK2 = sum(pred(sum(n17,succ(n12))),sum(n12,pred(sum(n17,n12))))
| ~ spl3_18
| ~ spl3_34 ),
inference(forward_demodulation,[],[f5537,f792]) ).
fof(f5537,plain,
( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
| ~ spl3_34 ),
inference(superposition,[],[f489,f878]) ).
fof(f5536,plain,
( ~ spl3_18
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f5535]) ).
fof(f5535,plain,
( $false
| ~ spl3_18
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f5534,f496]) ).
fof(f5534,plain,
( n6 = sK2
| ~ spl3_18
| ~ spl3_41 ),
inference(forward_demodulation,[],[f5533,f373]) ).
fof(f5533,plain,
( sum(n15,n12) = sK2
| ~ spl3_18
| ~ spl3_41 ),
inference(forward_demodulation,[],[f5532,f41]) ).
fof(f5532,plain,
( sK2 = sum(pred(n16),n12)
| ~ spl3_18
| ~ spl3_41 ),
inference(forward_demodulation,[],[f5531,f423]) ).
fof(f5531,plain,
( sK2 = sum(pred(sum(n17,n20)),n12)
| ~ spl3_18
| ~ spl3_41 ),
inference(forward_demodulation,[],[f5530,f23]) ).
fof(f5530,plain,
( sK2 = sum(pred(sum(n17,succ(n19))),n12)
| ~ spl3_18
| ~ spl3_41 ),
inference(forward_demodulation,[],[f5529,f459]) ).
fof(f5529,plain,
( sK2 = sum(pred(sum(n17,succ(n19))),sum(n19,n14))
| ~ spl3_18
| ~ spl3_41 ),
inference(forward_demodulation,[],[f5528,f40]) ).
fof(f5528,plain,
( sK2 = sum(pred(sum(n17,succ(n19))),sum(n19,pred(n15)))
| ~ spl3_18
| ~ spl3_41 ),
inference(forward_demodulation,[],[f5527,f422]) ).
fof(f5527,plain,
( sK2 = sum(pred(sum(n17,succ(n19))),sum(n19,pred(sum(n17,n19))))
| ~ spl3_18
| ~ spl3_41 ),
inference(forward_demodulation,[],[f5507,f792]) ).
fof(f5507,plain,
( sK2 = sum(pred(sum(sK0,succ(n19))),sum(n19,pred(sum(sK0,n19))))
| ~ spl3_41 ),
inference(superposition,[],[f489,f906]) ).
fof(f5506,plain,
( ~ spl3_18
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f5505]) ).
fof(f5505,plain,
( $false
| ~ spl3_18
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f5504,f496]) ).
fof(f5504,plain,
( n6 = sK2
| ~ spl3_18
| ~ spl3_27 ),
inference(forward_demodulation,[],[f5503,f72]) ).
fof(f5503,plain,
( sum(n1,n5) = sK2
| ~ spl3_18
| ~ spl3_27 ),
inference(forward_demodulation,[],[f5502,f27]) ).
fof(f5502,plain,
( sK2 = sum(pred(n2),n5)
| ~ spl3_18
| ~ spl3_27 ),
inference(forward_demodulation,[],[f5501,f409]) ).
fof(f5501,plain,
( sK2 = sum(pred(sum(n17,n6)),n5)
| ~ spl3_18
| ~ spl3_27 ),
inference(forward_demodulation,[],[f5500,f9]) ).
fof(f5500,plain,
( sK2 = sum(pred(sum(n17,succ(n5))),n5)
| ~ spl3_18
| ~ spl3_27 ),
inference(forward_demodulation,[],[f5499,f151]) ).
fof(f5499,plain,
( sK2 = sum(pred(sum(n17,succ(n5))),sum(n5,n0))
| ~ spl3_18
| ~ spl3_27 ),
inference(forward_demodulation,[],[f5498,f26]) ).
fof(f5498,plain,
( sK2 = sum(pred(sum(n17,succ(n5))),sum(n5,pred(n1)))
| ~ spl3_18
| ~ spl3_27 ),
inference(forward_demodulation,[],[f5497,f408]) ).
fof(f5497,plain,
( sK2 = sum(pred(sum(n17,succ(n5))),sum(n5,pred(sum(n17,n5))))
| ~ spl3_18
| ~ spl3_27 ),
inference(forward_demodulation,[],[f5479,f792]) ).
fof(f5479,plain,
( sK2 = sum(pred(sum(sK0,succ(n5))),sum(n5,pred(sum(sK0,n5))))
| ~ spl3_27 ),
inference(superposition,[],[f489,f850]) ).
fof(f5478,plain,
( ~ spl3_18
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f5477]) ).
fof(f5477,plain,
( $false
| ~ spl3_18
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f5476,f502]) ).
fof(f5476,plain,
( n12 = sK2
| ~ spl3_18
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5475,f419]) ).
fof(f5475,plain,
( sum(n17,n16) = sK2
| ~ spl3_18
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5474,f43]) ).
fof(f5474,plain,
( sK2 = sum(pred(n18),n16)
| ~ spl3_18
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5473,f404]) ).
fof(f5473,plain,
( sK2 = sum(pred(sum(n17,n1)),n16)
| ~ spl3_18
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5472,f4]) ).
fof(f5472,plain,
( sK2 = sum(pred(sum(n17,succ(n0))),n16)
| ~ spl3_18
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5471,f62]) ).
fof(f5471,plain,
( sK2 = sum(pred(sum(n17,succ(n0))),sum(n0,n16))
| ~ spl3_18
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5470,f42]) ).
fof(f5470,plain,
( sK2 = sum(pred(sum(n17,succ(n0))),sum(n0,pred(n17)))
| ~ spl3_18
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5469,f403]) ).
fof(f5469,plain,
( sK2 = sum(pred(sum(n17,succ(n0))),sum(n0,pred(sum(n17,n0))))
| ~ spl3_18
| ~ spl3_22 ),
inference(forward_demodulation,[],[f5452,f792]) ).
fof(f5452,plain,
( sK2 = sum(pred(sum(sK0,succ(n0))),sum(n0,pred(sum(sK0,n0))))
| ~ spl3_22 ),
inference(superposition,[],[f489,f830]) ).
fof(f5451,plain,
( ~ spl3_18
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f5450]) ).
fof(f5450,plain,
( $false
| ~ spl3_18
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f5449,f493]) ).
fof(f5449,plain,
( n3 = sK2
| ~ spl3_18
| ~ spl3_26 ),
inference(forward_demodulation,[],[f5448,f49]) ).
fof(f5448,plain,
( sum(n0,n3) = sK2
| ~ spl3_18
| ~ spl3_26 ),
inference(forward_demodulation,[],[f5447,f26]) ).
fof(f5447,plain,
( sK2 = sum(pred(n1),n3)
| ~ spl3_18
| ~ spl3_26 ),
inference(forward_demodulation,[],[f5446,f408]) ).
fof(f5446,plain,
( sK2 = sum(pred(sum(n17,n5)),n3)
| ~ spl3_18
| ~ spl3_26 ),
inference(forward_demodulation,[],[f5445,f8]) ).
fof(f5445,plain,
( sK2 = sum(pred(sum(n17,succ(n4))),n3)
| ~ spl3_18
| ~ spl3_26 ),
inference(forward_demodulation,[],[f5444,f150]) ).
fof(f5444,plain,
( sK2 = sum(pred(sum(n17,succ(n4))),sum(n4,n20))
| ~ spl3_18
| ~ spl3_26 ),
inference(forward_demodulation,[],[f5443,f25]) ).
fof(f5443,plain,
( sK2 = sum(pred(sum(n17,succ(n4))),sum(n4,pred(n0)))
| ~ spl3_18
| ~ spl3_26 ),
inference(forward_demodulation,[],[f5442,f407]) ).
fof(f5442,plain,
( sK2 = sum(pred(sum(n17,succ(n4))),sum(n4,pred(sum(n17,n4))))
| ~ spl3_18
| ~ spl3_26 ),
inference(forward_demodulation,[],[f5424,f792]) ).
fof(f5424,plain,
( sK2 = sum(pred(sum(sK0,succ(n4))),sum(n4,pred(sum(sK0,n4))))
| ~ spl3_26 ),
inference(superposition,[],[f489,f846]) ).
fof(f5423,plain,
( ~ spl3_18
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f5422]) ).
fof(f5422,plain,
( $false
| ~ spl3_18
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f5421,f493]) ).
fof(f5421,plain,
( n3 = sK2
| ~ spl3_18
| ~ spl3_40 ),
inference(forward_demodulation,[],[f5420,f350]) ).
fof(f5420,plain,
( sum(n14,n10) = sK2
| ~ spl3_18
| ~ spl3_40 ),
inference(forward_demodulation,[],[f5419,f40]) ).
fof(f5419,plain,
( sK2 = sum(pred(n15),n10)
| ~ spl3_18
| ~ spl3_40 ),
inference(forward_demodulation,[],[f5418,f422]) ).
fof(f5418,plain,
( sK2 = sum(pred(sum(n17,n19)),n10)
| ~ spl3_18
| ~ spl3_40 ),
inference(forward_demodulation,[],[f5417,f22]) ).
fof(f5417,plain,
( sK2 = sum(pred(sum(n17,succ(n18))),n10)
| ~ spl3_18
| ~ spl3_40 ),
inference(forward_demodulation,[],[f5416,f437]) ).
fof(f5416,plain,
( sK2 = sum(pred(sum(n17,succ(n18))),sum(n18,n13))
| ~ spl3_18
| ~ spl3_40 ),
inference(forward_demodulation,[],[f5415,f39]) ).
fof(f5415,plain,
( sK2 = sum(pred(sum(n17,succ(n18))),sum(n18,pred(n14)))
| ~ spl3_18
| ~ spl3_40 ),
inference(forward_demodulation,[],[f5414,f421]) ).
fof(f5414,plain,
( sK2 = sum(pred(sum(n17,succ(n18))),sum(n18,pred(sum(n17,n18))))
| ~ spl3_18
| ~ spl3_40 ),
inference(forward_demodulation,[],[f5395,f792]) ).
fof(f5395,plain,
( sK2 = sum(pred(sum(sK0,succ(n18))),sum(n18,pred(sum(sK0,n18))))
| ~ spl3_40 ),
inference(superposition,[],[f489,f902]) ).
fof(f5394,plain,
( ~ spl3_18
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f5393]) ).
fof(f5393,plain,
( $false
| ~ spl3_18
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f5392,f508]) ).
fof(f5392,plain,
( n18 = sK2
| ~ spl3_18
| ~ spl3_38 ),
inference(forward_demodulation,[],[f5391,f304]) ).
fof(f5391,plain,
( sum(n12,n6) = sK2
| ~ spl3_18
| ~ spl3_38 ),
inference(forward_demodulation,[],[f5390,f38]) ).
fof(f5390,plain,
( sK2 = sum(pred(n13),n6)
| ~ spl3_18
| ~ spl3_38 ),
inference(forward_demodulation,[],[f5389,f420]) ).
fof(f5389,plain,
( sK2 = sum(pred(sum(n17,n17)),n6)
| ~ spl3_18
| ~ spl3_38 ),
inference(forward_demodulation,[],[f5388,f20]) ).
fof(f5388,plain,
( sK2 = sum(pred(sum(n17,succ(n16))),n6)
| ~ spl3_18
| ~ spl3_38 ),
inference(forward_demodulation,[],[f5387,f393]) ).
fof(f5387,plain,
( sK2 = sum(pred(sum(n17,succ(n16))),sum(n16,n11))
| ~ spl3_18
| ~ spl3_38 ),
inference(forward_demodulation,[],[f5386,f37]) ).
fof(f5386,plain,
( sK2 = sum(pred(sum(n17,succ(n16))),sum(n16,pred(n12)))
| ~ spl3_18
| ~ spl3_38 ),
inference(forward_demodulation,[],[f5385,f419]) ).
fof(f5385,plain,
( sK2 = sum(pred(sum(n17,succ(n16))),sum(n16,pred(sum(n17,n16))))
| ~ spl3_18
| ~ spl3_38 ),
inference(forward_demodulation,[],[f5367,f792]) ).
fof(f5367,plain,
( sK2 = sum(pred(sum(sK0,succ(n16))),sum(n16,pred(sum(sK0,n16))))
| ~ spl3_38 ),
inference(superposition,[],[f489,f894]) ).
fof(f5366,plain,
( ~ spl3_18
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f5365]) ).
fof(f5365,plain,
( $false
| ~ spl3_18
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f5364,f502]) ).
fof(f5364,plain,
( n12 = sK2
| ~ spl3_18
| ~ spl3_36 ),
inference(forward_demodulation,[],[f5363,f258]) ).
fof(f5363,plain,
( sum(n10,n2) = sK2
| ~ spl3_18
| ~ spl3_36 ),
inference(forward_demodulation,[],[f5362,f36]) ).
fof(f5362,plain,
( sK2 = sum(pred(n11),n2)
| ~ spl3_18
| ~ spl3_36 ),
inference(forward_demodulation,[],[f5361,f418]) ).
fof(f5361,plain,
( sK2 = sum(pred(sum(n17,n15)),n2)
| ~ spl3_18
| ~ spl3_36 ),
inference(forward_demodulation,[],[f5360,f18]) ).
fof(f5360,plain,
( sK2 = sum(pred(sum(n17,succ(n14))),n2)
| ~ spl3_18
| ~ spl3_36 ),
inference(forward_demodulation,[],[f5359,f349]) ).
fof(f5359,plain,
( sK2 = sum(pred(sum(n17,succ(n14))),sum(n14,n9))
| ~ spl3_18
| ~ spl3_36 ),
inference(forward_demodulation,[],[f5358,f35]) ).
fof(f5358,plain,
( sK2 = sum(pred(sum(n17,succ(n14))),sum(n14,pred(n10)))
| ~ spl3_18
| ~ spl3_36 ),
inference(forward_demodulation,[],[f5357,f417]) ).
fof(f5357,plain,
( sK2 = sum(pred(sum(n17,succ(n14))),sum(n14,pred(sum(n17,n14))))
| ~ spl3_18
| ~ spl3_36 ),
inference(forward_demodulation,[],[f5339,f792]) ).
fof(f5339,plain,
( sK2 = sum(pred(sum(sK0,succ(n14))),sum(n14,pred(sum(sK0,n14))))
| ~ spl3_36 ),
inference(superposition,[],[f489,f886]) ).
fof(f5338,plain,
( ~ spl3_18
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f5337]) ).
fof(f5337,plain,
( $false
| ~ spl3_18
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f5336,f490]) ).
fof(f5336,plain,
( n0 = sK2
| ~ spl3_18
| ~ spl3_32 ),
inference(forward_demodulation,[],[f5335,f187]) ).
fof(f5335,plain,
( sum(n6,n15) = sK2
| ~ spl3_18
| ~ spl3_32 ),
inference(forward_demodulation,[],[f5334,f32]) ).
fof(f5334,plain,
( sK2 = sum(pred(n7),n15)
| ~ spl3_18
| ~ spl3_32 ),
inference(forward_demodulation,[],[f5333,f414]) ).
fof(f414,plain,
n7 = sum(n17,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f5333,plain,
( sK2 = sum(pred(sum(n17,n11)),n15)
| ~ spl3_18
| ~ spl3_32 ),
inference(forward_demodulation,[],[f5332,f14]) ).
fof(f5332,plain,
( sK2 = sum(pred(sum(n17,succ(n10))),n15)
| ~ spl3_18
| ~ spl3_32 ),
inference(forward_demodulation,[],[f5331,f261]) ).
fof(f5331,plain,
( sK2 = sum(pred(sum(n17,succ(n10))),sum(n10,n5))
| ~ spl3_18
| ~ spl3_32 ),
inference(forward_demodulation,[],[f5330,f31]) ).
fof(f5330,plain,
( sK2 = sum(pred(sum(n17,succ(n10))),sum(n10,pred(n6)))
| ~ spl3_18
| ~ spl3_32 ),
inference(forward_demodulation,[],[f5329,f413]) ).
fof(f5329,plain,
( sK2 = sum(pred(sum(n17,succ(n10))),sum(n10,pred(sum(n17,n10))))
| ~ spl3_18
| ~ spl3_32 ),
inference(forward_demodulation,[],[f5313,f792]) ).
fof(f5313,plain,
( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
| ~ spl3_32 ),
inference(superposition,[],[f489,f870]) ).
fof(f5312,plain,
( ~ spl3_18
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f5311]) ).
fof(f5311,plain,
( $false
| ~ spl3_18
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f5310,f505]) ).
fof(f5310,plain,
( n15 = sK2
| ~ spl3_18
| ~ spl3_23 ),
inference(forward_demodulation,[],[f5309,f442]) ).
fof(f5309,plain,
( sum(n18,n18) = sK2
| ~ spl3_18
| ~ spl3_23 ),
inference(forward_demodulation,[],[f5308,f44]) ).
fof(f5308,plain,
( sK2 = sum(pred(n19),n18)
| ~ spl3_18
| ~ spl3_23 ),
inference(forward_demodulation,[],[f5307,f405]) ).
fof(f5307,plain,
( sK2 = sum(pred(sum(n17,n2)),n18)
| ~ spl3_18
| ~ spl3_23 ),
inference(forward_demodulation,[],[f5306,f5]) ).
fof(f5306,plain,
( sK2 = sum(pred(sum(n17,succ(n1))),n18)
| ~ spl3_18
| ~ spl3_23 ),
inference(forward_demodulation,[],[f5305,f84]) ).
fof(f5305,plain,
( sK2 = sum(pred(sum(n17,succ(n1))),sum(n1,n17))
| ~ spl3_18
| ~ spl3_23 ),
inference(forward_demodulation,[],[f5304,f43]) ).
fof(f5304,plain,
( sK2 = sum(pred(sum(n17,succ(n1))),sum(n1,pred(n18)))
| ~ spl3_18
| ~ spl3_23 ),
inference(forward_demodulation,[],[f5303,f404]) ).
fof(f5303,plain,
( sK2 = sum(pred(sum(n17,succ(n1))),sum(n1,pred(sum(n17,n1))))
| ~ spl3_18
| ~ spl3_23 ),
inference(forward_demodulation,[],[f5288,f792]) ).
fof(f5288,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_23 ),
inference(superposition,[],[f489,f834]) ).
fof(f5287,plain,
( ~ spl3_18
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f5286]) ).
fof(f5286,plain,
( $false
| ~ spl3_18
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f5285,f502]) ).
fof(f5285,plain,
( n12 = sK2
| ~ spl3_18
| ~ spl3_29 ),
inference(forward_demodulation,[],[f5284,f118]) ).
fof(f5284,plain,
( sum(n3,n9) = sK2
| ~ spl3_18
| ~ spl3_29 ),
inference(forward_demodulation,[],[f5283,f29]) ).
fof(f5283,plain,
( sK2 = sum(pred(n4),n9)
| ~ spl3_18
| ~ spl3_29 ),
inference(forward_demodulation,[],[f5282,f411]) ).
fof(f5282,plain,
( sK2 = sum(pred(sum(n17,n8)),n9)
| ~ spl3_18
| ~ spl3_29 ),
inference(forward_demodulation,[],[f5281,f11]) ).
fof(f5281,plain,
( sK2 = sum(pred(sum(n17,succ(n7))),n9)
| ~ spl3_18
| ~ spl3_29 ),
inference(forward_demodulation,[],[f5280,f195]) ).
fof(f5280,plain,
( sK2 = sum(pred(sum(n17,succ(n7))),sum(n7,n2))
| ~ spl3_18
| ~ spl3_29 ),
inference(forward_demodulation,[],[f5279,f28]) ).
fof(f5279,plain,
( sK2 = sum(pred(sum(n17,succ(n7))),sum(n7,pred(n3)))
| ~ spl3_18
| ~ spl3_29 ),
inference(forward_demodulation,[],[f5278,f410]) ).
fof(f5278,plain,
( sK2 = sum(pred(sum(n17,succ(n7))),sum(n7,pred(sum(n17,n7))))
| ~ spl3_18
| ~ spl3_29 ),
inference(forward_demodulation,[],[f5262,f792]) ).
fof(f5262,plain,
( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
| ~ spl3_29 ),
inference(superposition,[],[f489,f858]) ).
fof(f5240,plain,
( ~ spl3_12
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f5239]) ).
fof(f5239,plain,
( $false
| ~ spl3_12
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f5238,f508]) ).
fof(f5238,plain,
( n18 = sK2
| ~ spl3_12
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5237,f124]) ).
fof(f5237,plain,
( sum(n3,n15) = sK2
| ~ spl3_12
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5236,f29]) ).
fof(f5236,plain,
( sK2 = sum(pred(n4),n15)
| ~ spl3_12
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5235,f291]) ).
fof(f5235,plain,
( sK2 = sum(pred(sum(n11,n14)),n15)
| ~ spl3_12
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5234,f17]) ).
fof(f17,plain,
succ(n13) = n14,
inference(cnf_transformation,[],[f3]) ).
fof(f5234,plain,
( sK2 = sum(pred(sum(n11,succ(n13))),n15)
| ~ spl3_12
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5233,f321]) ).
fof(f5233,plain,
( sK2 = sum(pred(sum(n11,succ(n13))),sum(n13,n2))
| ~ spl3_12
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5232,f28]) ).
fof(f5232,plain,
( sK2 = sum(pred(sum(n11,succ(n13))),sum(n13,pred(n3)))
| ~ spl3_12
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5231,f290]) ).
fof(f5231,plain,
( sK2 = sum(pred(sum(n11,succ(n13))),sum(n13,pred(sum(n11,n13))))
| ~ spl3_12
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5212,f882]) ).
fof(f882,plain,
( n13 = sK1
| ~ spl3_35 ),
inference(avatar_component_clause,[],[f880]) ).
fof(f880,plain,
( spl3_35
<=> n13 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_35])]) ).
fof(f5212,plain,
( sK2 = sum(pred(sum(n11,succ(sK1))),sum(sK1,pred(sum(n11,sK1))))
| ~ spl3_12 ),
inference(superposition,[],[f489,f768]) ).
fof(f5211,plain,
( ~ spl3_9
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f5210]) ).
fof(f5210,plain,
( $false
| ~ spl3_9
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f5209,f502]) ).
fof(f5209,plain,
( n12 = sK2
| ~ spl3_9
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5208,f58]) ).
fof(f5208,plain,
( sum(n0,n12) = sK2
| ~ spl3_9
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5207,f26]) ).
fof(f5207,plain,
( sK2 = sum(pred(n1),n12)
| ~ spl3_9
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5206,f228]) ).
fof(f5206,plain,
( sK2 = sum(pred(sum(n8,n14)),n12)
| ~ spl3_9
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5205,f17]) ).
fof(f5205,plain,
( sK2 = sum(pred(sum(n8,succ(n13))),n12)
| ~ spl3_9
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5204,f339]) ).
fof(f5204,plain,
( sK2 = sum(pred(sum(n8,succ(n13))),sum(n13,n20))
| ~ spl3_9
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5203,f25]) ).
fof(f5203,plain,
( sK2 = sum(pred(sum(n8,succ(n13))),sum(n13,pred(n0)))
| ~ spl3_9
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5202,f227]) ).
fof(f5202,plain,
( sK2 = sum(pred(sum(n8,succ(n13))),sum(n13,pred(sum(n8,n13))))
| ~ spl3_9
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5183,f882]) ).
fof(f5183,plain,
( sK2 = sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1))))
| ~ spl3_9 ),
inference(superposition,[],[f489,f756]) ).
fof(f5182,plain,
( ~ spl3_6
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f5181]) ).
fof(f5181,plain,
( $false
| ~ spl3_6
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f5180,f496]) ).
fof(f5180,plain,
( n6 = sK2
| ~ spl3_6
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5179,f433]) ).
fof(f5179,plain,
( sum(n18,n9) = sK2
| ~ spl3_6
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5178,f44]) ).
fof(f5178,plain,
( sK2 = sum(pred(n19),n9)
| ~ spl3_6
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5177,f165]) ).
fof(f5177,plain,
( sK2 = sum(pred(sum(n5,n14)),n9)
| ~ spl3_6
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5176,f17]) ).
fof(f5176,plain,
( sK2 = sum(pred(sum(n5,succ(n13))),n9)
| ~ spl3_6
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5175,f336]) ).
fof(f5175,plain,
( sK2 = sum(pred(sum(n5,succ(n13))),sum(n13,n17))
| ~ spl3_6
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5174,f43]) ).
fof(f5174,plain,
( sK2 = sum(pred(sum(n5,succ(n13))),sum(n13,pred(n18)))
| ~ spl3_6
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5173,f164]) ).
fof(f5173,plain,
( sK2 = sum(pred(sum(n5,succ(n13))),sum(n13,pred(sum(n5,n13))))
| ~ spl3_6
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5154,f882]) ).
fof(f5154,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f489,f744]) ).
fof(f5153,plain,
( ~ spl3_20
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f5152]) ).
fof(f5152,plain,
( $false
| ~ spl3_20
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f5151,f503]) ).
fof(f5151,plain,
( n13 = sK2
| ~ spl3_20
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5150,f279]) ).
fof(f5150,plain,
( sum(n11,n2) = sK2
| ~ spl3_20
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5149,f37]) ).
fof(f5149,plain,
( sK2 = sum(pred(n12),n2)
| ~ spl3_20
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5148,f459]) ).
fof(f5148,plain,
( sK2 = sum(pred(sum(n19,n14)),n2)
| ~ spl3_20
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5147,f17]) ).
fof(f5147,plain,
( sK2 = sum(pred(sum(n19,succ(n13))),n2)
| ~ spl3_20
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5146,f329]) ).
fof(f5146,plain,
( sK2 = sum(pred(sum(n19,succ(n13))),sum(n13,n10))
| ~ spl3_20
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5145,f36]) ).
fof(f5145,plain,
( sK2 = sum(pred(sum(n19,succ(n13))),sum(n13,pred(n11)))
| ~ spl3_20
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5144,f458]) ).
fof(f5144,plain,
( sK2 = sum(pred(sum(n19,succ(n13))),sum(n13,pred(sum(n19,n13))))
| ~ spl3_20
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5124,f882]) ).
fof(f5124,plain,
( sK2 = sum(pred(sum(n19,succ(sK1))),sum(sK1,pred(sum(n19,sK1))))
| ~ spl3_20 ),
inference(superposition,[],[f489,f800]) ).
fof(f5123,plain,
( ~ spl3_4
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f5122]) ).
fof(f5122,plain,
( $false
| ~ spl3_4
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f5121,f492]) ).
fof(f5121,plain,
( n2 = sK2
| ~ spl3_4
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5120,f389]) ).
fof(f5120,plain,
( sum(n16,n7) = sK2
| ~ spl3_4
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5119,f42]) ).
fof(f5119,plain,
( sK2 = sum(pred(n17),n7)
| ~ spl3_4
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5118,f123]) ).
fof(f5118,plain,
( sK2 = sum(pred(sum(n3,n14)),n7)
| ~ spl3_4
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5117,f17]) ).
fof(f5117,plain,
( sK2 = sum(pred(sum(n3,succ(n13))),n7)
| ~ spl3_4
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5116,f334]) ).
fof(f5116,plain,
( sK2 = sum(pred(sum(n3,succ(n13))),sum(n13,n15))
| ~ spl3_4
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5115,f41]) ).
fof(f5115,plain,
( sK2 = sum(pred(sum(n3,succ(n13))),sum(n13,pred(n16)))
| ~ spl3_4
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5114,f122]) ).
fof(f5114,plain,
( sK2 = sum(pred(sum(n3,succ(n13))),sum(n13,pred(sum(n3,n13))))
| ~ spl3_4
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5095,f882]) ).
fof(f5095,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f489,f736]) ).
fof(f5094,plain,
( ~ spl3_14
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f5093]) ).
fof(f5093,plain,
( $false
| ~ spl3_14
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f5092,f491]) ).
fof(f5092,plain,
( n1 = sK2
| ~ spl3_14
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5091,f168]) ).
fof(f5091,plain,
( sum(n5,n17) = sK2
| ~ spl3_14
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5090,f31]) ).
fof(f5090,plain,
( sK2 = sum(pred(n6),n17)
| ~ spl3_14
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5089,f333]) ).
fof(f5089,plain,
( sK2 = sum(pred(sum(n13,n14)),n17)
| ~ spl3_14
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5088,f17]) ).
fof(f5088,plain,
( sK2 = sum(pred(sum(n13,succ(n13))),n17)
| ~ spl3_14
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5087,f323]) ).
fof(f5087,plain,
( sK2 = sum(pred(sum(n13,succ(n13))),sum(n13,n4))
| ~ spl3_14
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5086,f30]) ).
fof(f5086,plain,
( sK2 = sum(pred(sum(n13,succ(n13))),sum(n13,pred(n5)))
| ~ spl3_14
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5085,f332]) ).
fof(f5085,plain,
( sK2 = sum(pred(sum(n13,succ(n13))),sum(n13,pred(sum(n13,n13))))
| ~ spl3_14
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5065,f882]) ).
fof(f5065,plain,
( sK2 = sum(pred(sum(n13,succ(sK1))),sum(sK1,pred(sum(n13,sK1))))
| ~ spl3_14 ),
inference(superposition,[],[f489,f776]) ).
fof(f5064,plain,
( ~ spl3_1
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f5063]) ).
fof(f5063,plain,
( $false
| ~ spl3_1
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f5062,f507]) ).
fof(f5062,plain,
( n17 = sK2
| ~ spl3_1
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5061,f323]) ).
fof(f5061,plain,
( sum(n13,n4) = sK2
| ~ spl3_1
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5060,f39]) ).
fof(f5060,plain,
( sK2 = sum(pred(n14),n4)
| ~ spl3_1
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5059,f60]) ).
fof(f5059,plain,
( sK2 = sum(pred(sum(n0,n14)),n4)
| ~ spl3_1
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5058,f17]) ).
fof(f5058,plain,
( sK2 = sum(pred(sum(n0,succ(n13))),n4)
| ~ spl3_1
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5057,f331]) ).
fof(f5057,plain,
( sK2 = sum(pred(sum(n0,succ(n13))),sum(n13,n12))
| ~ spl3_1
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5056,f38]) ).
fof(f5056,plain,
( sK2 = sum(pred(sum(n0,succ(n13))),sum(n13,pred(n13)))
| ~ spl3_1
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5055,f59]) ).
fof(f5055,plain,
( sK2 = sum(pred(sum(n0,succ(n13))),sum(n13,pred(sum(n0,n13))))
| ~ spl3_1
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5035,f882]) ).
fof(f5035,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f489,f724]) ).
fof(f5034,plain,
( ~ spl3_21
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f5033]) ).
fof(f5033,plain,
( $false
| ~ spl3_21
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f5032,f505]) ).
fof(f5032,plain,
( n15 = sK2
| ~ spl3_21
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5031,f301]) ).
fof(f5031,plain,
( sum(n12,n3) = sK2
| ~ spl3_21
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5030,f38]) ).
fof(f5030,plain,
( sK2 = sum(pred(n13),n3)
| ~ spl3_21
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5029,f480]) ).
fof(f5029,plain,
( sK2 = sum(pred(sum(n20,n14)),n3)
| ~ spl3_21
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5028,f17]) ).
fof(f5028,plain,
( sK2 = sum(pred(sum(n20,succ(n13))),n3)
| ~ spl3_21
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5027,f330]) ).
fof(f5027,plain,
( sK2 = sum(pred(sum(n20,succ(n13))),sum(n13,n11))
| ~ spl3_21
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5026,f37]) ).
fof(f5026,plain,
( sK2 = sum(pred(sum(n20,succ(n13))),sum(n13,pred(n12)))
| ~ spl3_21
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5025,f479]) ).
fof(f5025,plain,
( sK2 = sum(pred(sum(n20,succ(n13))),sum(n13,pred(sum(n20,n13))))
| ~ spl3_21
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5004,f882]) ).
fof(f5004,plain,
( sK2 = sum(pred(sum(n20,succ(sK1))),sum(sK1,pred(sum(n20,sK1))))
| ~ spl3_21 ),
inference(superposition,[],[f489,f804]) ).
fof(f5003,plain,
( ~ spl3_11
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f5002]) ).
fof(f5002,plain,
( $false
| ~ spl3_11
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f5001,f506]) ).
fof(f5001,plain,
( n16 = sK2
| ~ spl3_11
| ~ spl3_35 ),
inference(forward_demodulation,[],[f5000,f102]) ).
fof(f5000,plain,
( sum(n2,n14) = sK2
| ~ spl3_11
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4999,f28]) ).
fof(f4999,plain,
( sK2 = sum(pred(n3),n14)
| ~ spl3_11
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4998,f270]) ).
fof(f4998,plain,
( sK2 = sum(pred(sum(n10,n14)),n14)
| ~ spl3_11
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4997,f17]) ).
fof(f4997,plain,
( sK2 = sum(pred(sum(n10,succ(n13))),n14)
| ~ spl3_11
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4996,f320]) ).
fof(f4996,plain,
( sK2 = sum(pred(sum(n10,succ(n13))),sum(n13,n1))
| ~ spl3_11
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4995,f27]) ).
fof(f4995,plain,
( sK2 = sum(pred(sum(n10,succ(n13))),sum(n13,pred(n2)))
| ~ spl3_11
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4994,f269]) ).
fof(f4994,plain,
( sK2 = sum(pred(sum(n10,succ(n13))),sum(n13,pred(sum(n10,n13))))
| ~ spl3_11
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4975,f882]) ).
fof(f4975,plain,
( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
| ~ spl3_11 ),
inference(superposition,[],[f489,f764]) ).
fof(f4974,plain,
( ~ spl3_19
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f4973]) ).
fof(f4973,plain,
( $false
| ~ spl3_19
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f4972,f501]) ).
fof(f4972,plain,
( n11 = sK2
| ~ spl3_19
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4971,f257]) ).
fof(f4971,plain,
( sum(n10,n1) = sK2
| ~ spl3_19
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4970,f36]) ).
fof(f4970,plain,
( sK2 = sum(pred(n11),n1)
| ~ spl3_19
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4969,f438]) ).
fof(f4969,plain,
( sK2 = sum(pred(sum(n18,n14)),n1)
| ~ spl3_19
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4968,f17]) ).
fof(f4968,plain,
( sK2 = sum(pred(sum(n18,succ(n13))),n1)
| ~ spl3_19
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4967,f328]) ).
fof(f4967,plain,
( sK2 = sum(pred(sum(n18,succ(n13))),sum(n13,n9))
| ~ spl3_19
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4966,f35]) ).
fof(f4966,plain,
( sK2 = sum(pred(sum(n18,succ(n13))),sum(n13,pred(n10)))
| ~ spl3_19
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4965,f437]) ).
fof(f4965,plain,
( sK2 = sum(pred(sum(n18,succ(n13))),sum(n13,pred(sum(n18,n13))))
| ~ spl3_19
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4945,f882]) ).
fof(f4945,plain,
( sK2 = sum(pred(sum(n18,succ(sK1))),sum(sK1,pred(sum(n18,sK1))))
| ~ spl3_19 ),
inference(superposition,[],[f489,f796]) ).
fof(f4944,plain,
( ~ spl3_8
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f4943]) ).
fof(f4943,plain,
( $false
| ~ spl3_8
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f4942,f500]) ).
fof(f4942,plain,
( n10 = sK2
| ~ spl3_8
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4941,f477]) ).
fof(f4941,plain,
( sum(n20,n11) = sK2
| ~ spl3_8
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4940,f25]) ).
fof(f4940,plain,
( sK2 = sum(pred(n0),n11)
| ~ spl3_8
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4939,f207]) ).
fof(f4939,plain,
( sK2 = sum(pred(sum(n7,n14)),n11)
| ~ spl3_8
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4938,f17]) ).
fof(f4938,plain,
( sK2 = sum(pred(sum(n7,succ(n13))),n11)
| ~ spl3_8
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4937,f338]) ).
fof(f4937,plain,
( sK2 = sum(pred(sum(n7,succ(n13))),sum(n13,n19))
| ~ spl3_8
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4936,f45]) ).
fof(f4936,plain,
( sK2 = sum(pred(sum(n7,succ(n13))),sum(n13,pred(n20)))
| ~ spl3_8
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4935,f206]) ).
fof(f4935,plain,
( sK2 = sum(pred(sum(n7,succ(n13))),sum(n13,pred(sum(n7,n13))))
| ~ spl3_8
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4917,f882]) ).
fof(f4917,plain,
( sK2 = sum(pred(sum(n7,succ(sK1))),sum(sK1,pred(sum(n7,sK1))))
| ~ spl3_8 ),
inference(superposition,[],[f489,f752]) ).
fof(f4916,plain,
( ~ spl3_7
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f4915]) ).
fof(f4915,plain,
( $false
| ~ spl3_7
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f4914,f498]) ).
fof(f4914,plain,
( n8 = sK2
| ~ spl3_7
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4913,f455]) ).
fof(f4913,plain,
( sum(n19,n10) = sK2
| ~ spl3_7
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4912,f45]) ).
fof(f4912,plain,
( sK2 = sum(pred(n20),n10)
| ~ spl3_7
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4911,f186]) ).
fof(f4911,plain,
( sK2 = sum(pred(sum(n6,n14)),n10)
| ~ spl3_7
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4910,f17]) ).
fof(f4910,plain,
( sK2 = sum(pred(sum(n6,succ(n13))),n10)
| ~ spl3_7
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4909,f337]) ).
fof(f4909,plain,
( sK2 = sum(pred(sum(n6,succ(n13))),sum(n13,n18))
| ~ spl3_7
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4908,f44]) ).
fof(f4908,plain,
( sK2 = sum(pred(sum(n6,succ(n13))),sum(n13,pred(n19)))
| ~ spl3_7
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4907,f185]) ).
fof(f4907,plain,
( sK2 = sum(pred(sum(n6,succ(n13))),sum(n13,pred(sum(n6,n13))))
| ~ spl3_7
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4889,f882]) ).
fof(f4889,plain,
( sK2 = sum(pred(sum(n6,succ(sK1))),sum(sK1,pred(sum(n6,sK1))))
| ~ spl3_7 ),
inference(superposition,[],[f489,f748]) ).
fof(f4888,plain,
( ~ spl3_10
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f4887]) ).
fof(f4887,plain,
( $false
| ~ spl3_10
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f4886,f504]) ).
fof(f4886,plain,
( n14 = sK2
| ~ spl3_10
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4885,f80]) ).
fof(f4885,plain,
( sum(n1,n13) = sK2
| ~ spl3_10
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4884,f27]) ).
fof(f4884,plain,
( sK2 = sum(pred(n2),n13)
| ~ spl3_10
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4883,f249]) ).
fof(f4883,plain,
( sK2 = sum(pred(sum(n9,n14)),n13)
| ~ spl3_10
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4882,f17]) ).
fof(f4882,plain,
( sK2 = sum(pred(sum(n9,succ(n13))),n13)
| ~ spl3_10
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4881,f319]) ).
fof(f4881,plain,
( sK2 = sum(pred(sum(n9,succ(n13))),sum(n13,n0))
| ~ spl3_10
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4880,f26]) ).
fof(f4880,plain,
( sK2 = sum(pred(sum(n9,succ(n13))),sum(n13,pred(n1)))
| ~ spl3_10
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4879,f248]) ).
fof(f4879,plain,
( sK2 = sum(pred(sum(n9,succ(n13))),sum(n13,pred(sum(n9,n13))))
| ~ spl3_10
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4860,f882]) ).
fof(f4860,plain,
( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
| ~ spl3_10 ),
inference(superposition,[],[f489,f760]) ).
fof(f4859,plain,
( ~ spl3_5
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f4858]) ).
fof(f4858,plain,
( $false
| ~ spl3_5
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f4857,f494]) ).
fof(f4857,plain,
( n4 = sK2
| ~ spl3_5
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4856,f411]) ).
fof(f4856,plain,
( sum(n17,n8) = sK2
| ~ spl3_5
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4855,f43]) ).
fof(f4855,plain,
( sK2 = sum(pred(n18),n8)
| ~ spl3_5
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4854,f144]) ).
fof(f4854,plain,
( sK2 = sum(pred(sum(n4,n14)),n8)
| ~ spl3_5
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4853,f17]) ).
fof(f4853,plain,
( sK2 = sum(pred(sum(n4,succ(n13))),n8)
| ~ spl3_5
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4852,f335]) ).
fof(f4852,plain,
( sK2 = sum(pred(sum(n4,succ(n13))),sum(n13,n16))
| ~ spl3_5
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4851,f42]) ).
fof(f4851,plain,
( sK2 = sum(pred(sum(n4,succ(n13))),sum(n13,pred(n17)))
| ~ spl3_5
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4850,f143]) ).
fof(f4850,plain,
( sK2 = sum(pred(sum(n4,succ(n13))),sum(n13,pred(sum(n4,n13))))
| ~ spl3_5
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4831,f882]) ).
fof(f4831,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f489,f740]) ).
fof(f4830,plain,
( ~ spl3_3
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f4829]) ).
fof(f4829,plain,
( $false
| ~ spl3_3
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f4828,f490]) ).
fof(f4828,plain,
( n0 = sK2
| ~ spl3_3
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4827,f367]) ).
fof(f4827,plain,
( sum(n15,n6) = sK2
| ~ spl3_3
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4826,f41]) ).
fof(f4826,plain,
( sK2 = sum(pred(n16),n6)
| ~ spl3_3
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4825,f102]) ).
fof(f4825,plain,
( sK2 = sum(pred(sum(n2,n14)),n6)
| ~ spl3_3
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4824,f17]) ).
fof(f4824,plain,
( sK2 = sum(pred(sum(n2,succ(n13))),n6)
| ~ spl3_3
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4823,f333]) ).
fof(f4823,plain,
( sK2 = sum(pred(sum(n2,succ(n13))),sum(n13,n14))
| ~ spl3_3
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4822,f40]) ).
fof(f4822,plain,
( sK2 = sum(pred(sum(n2,succ(n13))),sum(n13,pred(n15)))
| ~ spl3_3
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4821,f101]) ).
fof(f4821,plain,
( sK2 = sum(pred(sum(n2,succ(n13))),sum(n13,pred(sum(n2,n13))))
| ~ spl3_3
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4802,f882]) ).
fof(f4802,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f489,f732]) ).
fof(f4801,plain,
( ~ spl3_18
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f4800]) ).
fof(f4800,plain,
( $false
| ~ spl3_18
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f4799,f499]) ).
fof(f4799,plain,
( n9 = sK2
| ~ spl3_18
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4798,f235]) ).
fof(f4798,plain,
( sum(n9,n0) = sK2
| ~ spl3_18
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4797,f35]) ).
fof(f4797,plain,
( sK2 = sum(pred(n10),n0)
| ~ spl3_18
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4796,f417]) ).
fof(f4796,plain,
( sK2 = sum(pred(sum(n17,n14)),n0)
| ~ spl3_18
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4795,f17]) ).
fof(f4795,plain,
( sK2 = sum(pred(sum(n17,succ(n13))),n0)
| ~ spl3_18
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4794,f327]) ).
fof(f4794,plain,
( sK2 = sum(pred(sum(n17,succ(n13))),sum(n13,n8))
| ~ spl3_18
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4793,f34]) ).
fof(f4793,plain,
( sK2 = sum(pred(sum(n17,succ(n13))),sum(n13,pred(n9)))
| ~ spl3_18
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4792,f416]) ).
fof(f4792,plain,
( sK2 = sum(pred(sum(n17,succ(n13))),sum(n13,pred(sum(n17,n13))))
| ~ spl3_18
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4772,f882]) ).
fof(f4772,plain,
( sK2 = sum(pred(sum(n17,succ(sK1))),sum(sK1,pred(sum(n17,sK1))))
| ~ spl3_18 ),
inference(superposition,[],[f489,f792]) ).
fof(f4770,plain,
( ~ spl3_13
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f4769]) ).
fof(f4769,plain,
( $false
| ~ spl3_13
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f4768,f510]) ).
fof(f4768,plain,
( n20 = sK2
| ~ spl3_13
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4767,f146]) ).
fof(f4767,plain,
( sum(n4,n16) = sK2
| ~ spl3_13
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4766,f30]) ).
fof(f4766,plain,
( sK2 = sum(pred(n5),n16)
| ~ spl3_13
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4765,f312]) ).
fof(f4765,plain,
( sK2 = sum(pred(sum(n12,n14)),n16)
| ~ spl3_13
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4764,f17]) ).
fof(f4764,plain,
( sK2 = sum(pred(sum(n12,succ(n13))),n16)
| ~ spl3_13
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4763,f322]) ).
fof(f4763,plain,
( sK2 = sum(pred(sum(n12,succ(n13))),sum(n13,n3))
| ~ spl3_13
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4762,f29]) ).
fof(f4762,plain,
( sK2 = sum(pred(sum(n12,succ(n13))),sum(n13,pred(n4)))
| ~ spl3_13
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4761,f311]) ).
fof(f4761,plain,
( sK2 = sum(pred(sum(n12,succ(n13))),sum(n13,pred(sum(n12,n13))))
| ~ spl3_13
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4744,f772]) ).
fof(f4744,plain,
( sK2 = sum(pred(sum(sK0,succ(n13))),sum(n13,pred(sum(sK0,n13))))
| ~ spl3_35 ),
inference(superposition,[],[f489,f882]) ).
fof(f4722,plain,
( ~ spl3_17
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f4721]) ).
fof(f4721,plain,
( $false
| ~ spl3_17
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f4720,f500]) ).
fof(f4720,plain,
( n10 = sK2
| ~ spl3_17
| ~ spl3_36 ),
inference(forward_demodulation,[],[f4719,f236]) ).
fof(f4719,plain,
( sum(n9,n1) = sK2
| ~ spl3_17
| ~ spl3_36 ),
inference(forward_demodulation,[],[f4718,f35]) ).
fof(f4718,plain,
( sK2 = sum(pred(n10),n1)
| ~ spl3_17
| ~ spl3_36 ),
inference(forward_demodulation,[],[f4717,f397]) ).
fof(f4717,plain,
( sK2 = sum(pred(sum(n16,n15)),n1)
| ~ spl3_17
| ~ spl3_36 ),
inference(forward_demodulation,[],[f4716,f18]) ).
fof(f4716,plain,
( sK2 = sum(pred(sum(n16,succ(n14))),n1)
| ~ spl3_17
| ~ spl3_36 ),
inference(forward_demodulation,[],[f4715,f348]) ).
fof(f4715,plain,
( sK2 = sum(pred(sum(n16,succ(n14))),sum(n14,n8))
| ~ spl3_17
| ~ spl3_36 ),
inference(forward_demodulation,[],[f4714,f34]) ).
fof(f4714,plain,
( sK2 = sum(pred(sum(n16,succ(n14))),sum(n14,pred(n9)))
| ~ spl3_17
| ~ spl3_36 ),
inference(forward_demodulation,[],[f4713,f396]) ).
fof(f4713,plain,
( sK2 = sum(pred(sum(n16,succ(n14))),sum(n14,pred(sum(n16,n14))))
| ~ spl3_17
| ~ spl3_36 ),
inference(forward_demodulation,[],[f4695,f788]) ).
fof(f788,plain,
( n16 = sK0
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f786,plain,
( spl3_17
<=> n16 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f4695,plain,
( sK2 = sum(pred(sum(sK0,succ(n14))),sum(n14,pred(sum(sK0,n14))))
| ~ spl3_36 ),
inference(superposition,[],[f489,f886]) ).
fof(f4694,plain,
( ~ spl3_17
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f4693]) ).
fof(f4693,plain,
( $false
| ~ spl3_17
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f4692,f491]) ).
fof(f4692,plain,
( n1 = sK2
| ~ spl3_17
| ~ spl3_40 ),
inference(forward_demodulation,[],[f4691,f328]) ).
fof(f4691,plain,
( sum(n13,n9) = sK2
| ~ spl3_17
| ~ spl3_40 ),
inference(forward_demodulation,[],[f4690,f39]) ).
fof(f4690,plain,
( sK2 = sum(pred(n14),n9)
| ~ spl3_17
| ~ spl3_40 ),
inference(forward_demodulation,[],[f4689,f401]) ).
fof(f4689,plain,
( sK2 = sum(pred(sum(n16,n19)),n9)
| ~ spl3_17
| ~ spl3_40 ),
inference(forward_demodulation,[],[f4688,f22]) ).
fof(f4688,plain,
( sK2 = sum(pred(sum(n16,succ(n18))),n9)
| ~ spl3_17
| ~ spl3_40 ),
inference(forward_demodulation,[],[f4687,f436]) ).
fof(f4687,plain,
( sK2 = sum(pred(sum(n16,succ(n18))),sum(n18,n12))
| ~ spl3_17
| ~ spl3_40 ),
inference(forward_demodulation,[],[f4686,f38]) ).
fof(f4686,plain,
( sK2 = sum(pred(sum(n16,succ(n18))),sum(n18,pred(n13)))
| ~ spl3_17
| ~ spl3_40 ),
inference(forward_demodulation,[],[f4685,f400]) ).
fof(f4685,plain,
( sK2 = sum(pred(sum(n16,succ(n18))),sum(n18,pred(sum(n16,n18))))
| ~ spl3_17
| ~ spl3_40 ),
inference(forward_demodulation,[],[f4666,f788]) ).
fof(f4666,plain,
( sK2 = sum(pred(sum(sK0,succ(n18))),sum(n18,pred(sum(sK0,n18))))
| ~ spl3_40 ),
inference(superposition,[],[f489,f902]) ).
fof(f4665,plain,
( ~ spl3_17
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f4664]) ).
fof(f4664,plain,
( $false
| ~ spl3_17
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f4663,f503]) ).
fof(f4663,plain,
( n13 = sK2
| ~ spl3_17
| ~ spl3_37 ),
inference(forward_demodulation,[],[f4662,f259]) ).
fof(f4662,plain,
( sum(n10,n3) = sK2
| ~ spl3_17
| ~ spl3_37 ),
inference(forward_demodulation,[],[f4661,f36]) ).
fof(f4661,plain,
( sK2 = sum(pred(n11),n3)
| ~ spl3_17
| ~ spl3_37 ),
inference(forward_demodulation,[],[f4660,f398]) ).
fof(f398,plain,
n11 = sum(n16,n16),
inference(cnf_transformation,[],[f3]) ).
fof(f4660,plain,
( sK2 = sum(pred(sum(n16,n16)),n3)
| ~ spl3_17
| ~ spl3_37 ),
inference(forward_demodulation,[],[f4659,f19]) ).
fof(f4659,plain,
( sK2 = sum(pred(sum(n16,succ(n15))),n3)
| ~ spl3_17
| ~ spl3_37 ),
inference(forward_demodulation,[],[f4658,f370]) ).
fof(f4658,plain,
( sK2 = sum(pred(sum(n16,succ(n15))),sum(n15,n9))
| ~ spl3_17
| ~ spl3_37 ),
inference(forward_demodulation,[],[f4657,f35]) ).
fof(f4657,plain,
( sK2 = sum(pred(sum(n16,succ(n15))),sum(n15,pred(n10)))
| ~ spl3_17
| ~ spl3_37 ),
inference(forward_demodulation,[],[f4656,f397]) ).
fof(f4656,plain,
( sK2 = sum(pred(sum(n16,succ(n15))),sum(n15,pred(sum(n16,n15))))
| ~ spl3_17
| ~ spl3_37 ),
inference(forward_demodulation,[],[f4637,f788]) ).
fof(f4637,plain,
( sK2 = sum(pred(sum(sK0,succ(n15))),sum(n15,pred(sum(sK0,n15))))
| ~ spl3_37 ),
inference(superposition,[],[f489,f890]) ).
fof(f4636,plain,
( ~ spl3_17
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f4635]) ).
fof(f4635,plain,
( $false
| ~ spl3_17
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f4634,f494]) ).
fof(f4634,plain,
( n4 = sK2
| ~ spl3_17
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4633,f351]) ).
fof(f4633,plain,
( sum(n14,n11) = sK2
| ~ spl3_17
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4632,f40]) ).
fof(f4632,plain,
( sK2 = sum(pred(n15),n11)
| ~ spl3_17
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4631,f402]) ).
fof(f4631,plain,
( sK2 = sum(pred(sum(n16,n20)),n11)
| ~ spl3_17
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4630,f23]) ).
fof(f4630,plain,
( sK2 = sum(pred(sum(n16,succ(n19))),n11)
| ~ spl3_17
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4629,f458]) ).
fof(f4629,plain,
( sK2 = sum(pred(sum(n16,succ(n19))),sum(n19,n13))
| ~ spl3_17
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4628,f39]) ).
fof(f4628,plain,
( sK2 = sum(pred(sum(n16,succ(n19))),sum(n19,pred(n14)))
| ~ spl3_17
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4627,f401]) ).
fof(f4627,plain,
( sK2 = sum(pred(sum(n16,succ(n19))),sum(n19,pred(sum(n16,n19))))
| ~ spl3_17
| ~ spl3_41 ),
inference(forward_demodulation,[],[f4607,f788]) ).
fof(f4607,plain,
( sK2 = sum(pred(sum(sK0,succ(n19))),sum(n19,pred(sum(sK0,n19))))
| ~ spl3_41 ),
inference(superposition,[],[f489,f906]) ).
fof(f4606,plain,
( ~ spl3_17
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f4605]) ).
fof(f4605,plain,
( $false
| ~ spl3_17
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f4604,f494]) ).
fof(f4604,plain,
( n4 = sK2
| ~ spl3_17
| ~ spl3_34 ),
inference(forward_demodulation,[],[f4603,f211]) ).
fof(f4603,plain,
( sum(n7,n18) = sK2
| ~ spl3_17
| ~ spl3_34 ),
inference(forward_demodulation,[],[f4602,f33]) ).
fof(f4602,plain,
( sK2 = sum(pred(n8),n18)
| ~ spl3_17
| ~ spl3_34 ),
inference(forward_demodulation,[],[f4601,f395]) ).
fof(f4601,plain,
( sK2 = sum(pred(sum(n16,n13)),n18)
| ~ spl3_17
| ~ spl3_34 ),
inference(forward_demodulation,[],[f4600,f16]) ).
fof(f4600,plain,
( sK2 = sum(pred(sum(n16,succ(n12))),n18)
| ~ spl3_17
| ~ spl3_34 ),
inference(forward_demodulation,[],[f4599,f304]) ).
fof(f4599,plain,
( sK2 = sum(pred(sum(n16,succ(n12))),sum(n12,n6))
| ~ spl3_17
| ~ spl3_34 ),
inference(forward_demodulation,[],[f4598,f32]) ).
fof(f4598,plain,
( sK2 = sum(pred(sum(n16,succ(n12))),sum(n12,pred(n7)))
| ~ spl3_17
| ~ spl3_34 ),
inference(forward_demodulation,[],[f4597,f394]) ).
fof(f4597,plain,
( sK2 = sum(pred(sum(n16,succ(n12))),sum(n12,pred(sum(n16,n12))))
| ~ spl3_17
| ~ spl3_34 ),
inference(forward_demodulation,[],[f4579,f788]) ).
fof(f4579,plain,
( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
| ~ spl3_34 ),
inference(superposition,[],[f489,f878]) ).
fof(f4578,plain,
( ~ spl3_17
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f4577]) ).
fof(f4577,plain,
( $false
| ~ spl3_17
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f4576,f509]) ).
fof(f4576,plain,
( n19 = sK2
| ~ spl3_17
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4575,f165]) ).
fof(f4575,plain,
( sum(n5,n14) = sK2
| ~ spl3_17
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4574,f31]) ).
fof(f4574,plain,
( sK2 = sum(pred(n6),n14)
| ~ spl3_17
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4573,f393]) ).
fof(f4573,plain,
( sK2 = sum(pred(sum(n16,n11)),n14)
| ~ spl3_17
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4572,f14]) ).
fof(f4572,plain,
( sK2 = sum(pred(sum(n16,succ(n10))),n14)
| ~ spl3_17
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4571,f260]) ).
fof(f4571,plain,
( sK2 = sum(pred(sum(n16,succ(n10))),sum(n10,n4))
| ~ spl3_17
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4570,f30]) ).
fof(f4570,plain,
( sK2 = sum(pred(sum(n16,succ(n10))),sum(n10,pred(n5)))
| ~ spl3_17
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4569,f392]) ).
fof(f4569,plain,
( sK2 = sum(pred(sum(n16,succ(n10))),sum(n10,pred(sum(n16,n10))))
| ~ spl3_17
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4551,f788]) ).
fof(f4551,plain,
( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
| ~ spl3_32 ),
inference(superposition,[],[f489,f870]) ).
fof(f4550,plain,
( ~ spl3_17
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f4549]) ).
fof(f4549,plain,
( $false
| ~ spl3_17
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f4548,f509]) ).
fof(f4548,plain,
( n19 = sK2
| ~ spl3_17
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4547,f305]) ).
fof(f4547,plain,
( sum(n12,n7) = sK2
| ~ spl3_17
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4546,f38]) ).
fof(f4546,plain,
( sK2 = sum(pred(n13),n7)
| ~ spl3_17
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4545,f400]) ).
fof(f4545,plain,
( sK2 = sum(pred(sum(n16,n18)),n7)
| ~ spl3_17
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4544,f21]) ).
fof(f4544,plain,
( sK2 = sum(pred(sum(n16,succ(n17))),n7)
| ~ spl3_17
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4543,f414]) ).
fof(f4543,plain,
( sK2 = sum(pred(sum(n16,succ(n17))),sum(n17,n11))
| ~ spl3_17
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4542,f37]) ).
fof(f4542,plain,
( sK2 = sum(pred(sum(n16,succ(n17))),sum(n17,pred(n12)))
| ~ spl3_17
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4541,f399]) ).
fof(f4541,plain,
( sK2 = sum(pred(sum(n16,succ(n17))),sum(n17,pred(sum(n16,n17))))
| ~ spl3_17
| ~ spl3_39 ),
inference(forward_demodulation,[],[f4522,f788]) ).
fof(f4522,plain,
( sK2 = sum(pred(sum(sK0,succ(n17))),sum(n17,pred(sum(sK0,n17))))
| ~ spl3_39 ),
inference(superposition,[],[f489,f898]) ).
fof(f4521,plain,
( ~ spl3_17
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f4520]) ).
fof(f4520,plain,
( $false
| ~ spl3_17
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f4519,f506]) ).
fof(f4519,plain,
( n16 = sK2
| ~ spl3_17
| ~ spl3_24 ),
inference(forward_demodulation,[],[f4518,f443]) ).
fof(f4518,plain,
( sum(n18,n19) = sK2
| ~ spl3_17
| ~ spl3_24 ),
inference(forward_demodulation,[],[f4517,f44]) ).
fof(f4517,plain,
( sK2 = sum(pred(n19),n19)
| ~ spl3_17
| ~ spl3_24 ),
inference(forward_demodulation,[],[f4516,f385]) ).
fof(f4516,plain,
( sK2 = sum(pred(sum(n16,n3)),n19)
| ~ spl3_17
| ~ spl3_24 ),
inference(forward_demodulation,[],[f4515,f6]) ).
fof(f4515,plain,
( sK2 = sum(pred(sum(n16,succ(n2))),n19)
| ~ spl3_17
| ~ spl3_24 ),
inference(forward_demodulation,[],[f4514,f105]) ).
fof(f4514,plain,
( sK2 = sum(pred(sum(n16,succ(n2))),sum(n2,n17))
| ~ spl3_17
| ~ spl3_24 ),
inference(forward_demodulation,[],[f4513,f43]) ).
fof(f4513,plain,
( sK2 = sum(pred(sum(n16,succ(n2))),sum(n2,pred(n18)))
| ~ spl3_17
| ~ spl3_24 ),
inference(forward_demodulation,[],[f4512,f384]) ).
fof(f4512,plain,
( sK2 = sum(pred(sum(n16,succ(n2))),sum(n2,pred(sum(n16,n2))))
| ~ spl3_17
| ~ spl3_24 ),
inference(forward_demodulation,[],[f4495,f788]) ).
fof(f4495,plain,
( sK2 = sum(pred(sum(sK0,succ(n2))),sum(n2,pred(sum(sK0,n2))))
| ~ spl3_24 ),
inference(superposition,[],[f489,f838]) ).
fof(f4494,plain,
( ~ spl3_17
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f4493]) ).
fof(f4493,plain,
( $false
| ~ spl3_17
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f4492,f497]) ).
fof(f4492,plain,
( n7 = sK2
| ~ spl3_17
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4491,f234]) ).
fof(f4491,plain,
( sum(n8,n20) = sK2
| ~ spl3_17
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4490,f34]) ).
fof(f4490,plain,
( sK2 = sum(pred(n9),n20)
| ~ spl3_17
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4489,f396]) ).
fof(f4489,plain,
( sK2 = sum(pred(sum(n16,n14)),n20)
| ~ spl3_17
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4488,f17]) ).
fof(f4488,plain,
( sK2 = sum(pred(sum(n16,succ(n13))),n20)
| ~ spl3_17
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4487,f326]) ).
fof(f4487,plain,
( sK2 = sum(pred(sum(n16,succ(n13))),sum(n13,n7))
| ~ spl3_17
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4486,f33]) ).
fof(f4486,plain,
( sK2 = sum(pred(sum(n16,succ(n13))),sum(n13,pred(n8)))
| ~ spl3_17
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4485,f395]) ).
fof(f4485,plain,
( sK2 = sum(pred(sum(n16,succ(n13))),sum(n13,pred(sum(n16,n13))))
| ~ spl3_17
| ~ spl3_35 ),
inference(forward_demodulation,[],[f4467,f788]) ).
fof(f4467,plain,
( sK2 = sum(pred(sum(sK0,succ(n13))),sum(n13,pred(sum(sK0,n13))))
| ~ spl3_35 ),
inference(superposition,[],[f489,f882]) ).
fof(f4466,plain,
( ~ spl3_17
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f4465]) ).
fof(f4465,plain,
( $false
| ~ spl3_17
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f4464,f503]) ).
fof(f4464,plain,
( n13 = sK2
| ~ spl3_17
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4463,f420]) ).
fof(f4463,plain,
( sum(n17,n17) = sK2
| ~ spl3_17
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4462,f43]) ).
fof(f4462,plain,
( sK2 = sum(pred(n18),n17)
| ~ spl3_17
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4461,f384]) ).
fof(f4461,plain,
( sK2 = sum(pred(sum(n16,n2)),n17)
| ~ spl3_17
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4460,f5]) ).
fof(f4460,plain,
( sK2 = sum(pred(sum(n16,succ(n1))),n17)
| ~ spl3_17
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4459,f83]) ).
fof(f4459,plain,
( sK2 = sum(pred(sum(n16,succ(n1))),sum(n1,n16))
| ~ spl3_17
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4458,f42]) ).
fof(f4458,plain,
( sK2 = sum(pred(sum(n16,succ(n1))),sum(n1,pred(n17)))
| ~ spl3_17
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4457,f383]) ).
fof(f4457,plain,
( sK2 = sum(pred(sum(n16,succ(n1))),sum(n1,pred(sum(n16,n1))))
| ~ spl3_17
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4441,f788]) ).
fof(f4441,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_23 ),
inference(superposition,[],[f489,f834]) ).
fof(f4440,plain,
( ~ spl3_17
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f4439]) ).
fof(f4439,plain,
( $false
| ~ spl3_17
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f4438,f500]) ).
fof(f4438,plain,
( n10 = sK2
| ~ spl3_17
| ~ spl3_22 ),
inference(forward_demodulation,[],[f4437,f397]) ).
fof(f4437,plain,
( sum(n16,n15) = sK2
| ~ spl3_17
| ~ spl3_22 ),
inference(forward_demodulation,[],[f4436,f42]) ).
fof(f4436,plain,
( sK2 = sum(pred(n17),n15)
| ~ spl3_17
| ~ spl3_22 ),
inference(forward_demodulation,[],[f4435,f383]) ).
fof(f4435,plain,
( sK2 = sum(pred(sum(n16,n1)),n15)
| ~ spl3_17
| ~ spl3_22 ),
inference(forward_demodulation,[],[f4434,f4]) ).
fof(f4434,plain,
( sK2 = sum(pred(sum(n16,succ(n0))),n15)
| ~ spl3_17
| ~ spl3_22 ),
inference(forward_demodulation,[],[f4433,f61]) ).
fof(f4433,plain,
( sK2 = sum(pred(sum(n16,succ(n0))),sum(n0,n15))
| ~ spl3_17
| ~ spl3_22 ),
inference(forward_demodulation,[],[f4432,f41]) ).
fof(f4432,plain,
( sK2 = sum(pred(sum(n16,succ(n0))),sum(n0,pred(n16)))
| ~ spl3_17
| ~ spl3_22 ),
inference(forward_demodulation,[],[f4431,f382]) ).
fof(f4431,plain,
( sK2 = sum(pred(sum(n16,succ(n0))),sum(n0,pred(sum(n16,n0))))
| ~ spl3_17
| ~ spl3_22 ),
inference(forward_demodulation,[],[f4415,f788]) ).
fof(f4415,plain,
( sK2 = sum(pred(sum(sK0,succ(n0))),sum(n0,pred(sum(sK0,n0))))
| ~ spl3_22 ),
inference(superposition,[],[f489,f830]) ).
fof(f4414,plain,
( ~ spl3_17
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f4413]) ).
fof(f4413,plain,
( $false
| ~ spl3_17
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f4412,f491]) ).
fof(f4412,plain,
( n1 = sK2
| ~ spl3_17
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4411,f468]) ).
fof(f4411,plain,
( sum(n20,n2) = sK2
| ~ spl3_17
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4410,f25]) ).
fof(f4410,plain,
( sK2 = sum(pred(n0),n2)
| ~ spl3_17
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4409,f387]) ).
fof(f4409,plain,
( sK2 = sum(pred(sum(n16,n5)),n2)
| ~ spl3_17
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4408,f8]) ).
fof(f4408,plain,
( sK2 = sum(pred(sum(n16,succ(n4))),n2)
| ~ spl3_17
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4407,f149]) ).
fof(f4407,plain,
( sK2 = sum(pred(sum(n16,succ(n4))),sum(n4,n19))
| ~ spl3_17
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4406,f45]) ).
fof(f4406,plain,
( sK2 = sum(pred(sum(n16,succ(n4))),sum(n4,pred(n20)))
| ~ spl3_17
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4405,f386]) ).
fof(f4405,plain,
( sK2 = sum(pred(sum(n16,succ(n4))),sum(n4,pred(sum(n16,n4))))
| ~ spl3_17
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4388,f788]) ).
fof(f4388,plain,
( sK2 = sum(pred(sum(sK0,succ(n4))),sum(n4,pred(sum(sK0,n4))))
| ~ spl3_26 ),
inference(superposition,[],[f489,f846]) ).
fof(f4387,plain,
( ~ spl3_17
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f4386]) ).
fof(f4386,plain,
( $false
| ~ spl3_17
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f4385,f503]) ).
fof(f4385,plain,
( n13 = sK2
| ~ spl3_17
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4384,f119]) ).
fof(f4384,plain,
( sum(n3,n10) = sK2
| ~ spl3_17
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4383,f29]) ).
fof(f4383,plain,
( sK2 = sum(pred(n4),n10)
| ~ spl3_17
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4382,f391]) ).
fof(f391,plain,
n4 = sum(n16,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f4382,plain,
( sK2 = sum(pred(sum(n16,n9)),n10)
| ~ spl3_17
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4381,f12]) ).
fof(f4381,plain,
( sK2 = sum(pred(sum(n16,succ(n8))),n10)
| ~ spl3_17
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4380,f216]) ).
fof(f4380,plain,
( sK2 = sum(pred(sum(n16,succ(n8))),sum(n8,n2))
| ~ spl3_17
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4379,f28]) ).
fof(f4379,plain,
( sK2 = sum(pred(sum(n16,succ(n8))),sum(n8,pred(n3)))
| ~ spl3_17
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4378,f390]) ).
fof(f4378,plain,
( sK2 = sum(pred(sum(n16,succ(n8))),sum(n8,pred(sum(n16,n8))))
| ~ spl3_17
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4360,f788]) ).
fof(f4360,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_30 ),
inference(superposition,[],[f489,f862]) ).
fof(f4359,plain,
( ~ spl3_17
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f4358]) ).
fof(f4358,plain,
( $false
| ~ spl3_17
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f4357,f506]) ).
fof(f4357,plain,
( n16 = sK2
| ~ spl3_17
| ~ spl3_38 ),
inference(forward_demodulation,[],[f4356,f282]) ).
fof(f4356,plain,
( sum(n11,n5) = sK2
| ~ spl3_17
| ~ spl3_38 ),
inference(forward_demodulation,[],[f4355,f37]) ).
fof(f4355,plain,
( sK2 = sum(pred(n12),n5)
| ~ spl3_17
| ~ spl3_38 ),
inference(forward_demodulation,[],[f4354,f399]) ).
fof(f4354,plain,
( sK2 = sum(pred(sum(n16,n17)),n5)
| ~ spl3_17
| ~ spl3_38 ),
inference(forward_demodulation,[],[f4353,f20]) ).
fof(f4353,plain,
( sK2 = sum(pred(sum(n16,succ(n16))),n5)
| ~ spl3_17
| ~ spl3_38 ),
inference(forward_demodulation,[],[f4352,f392]) ).
fof(f4352,plain,
( sK2 = sum(pred(sum(n16,succ(n16))),sum(n16,n10))
| ~ spl3_17
| ~ spl3_38 ),
inference(forward_demodulation,[],[f4351,f36]) ).
fof(f4351,plain,
( sK2 = sum(pred(sum(n16,succ(n16))),sum(n16,pred(n11)))
| ~ spl3_17
| ~ spl3_38 ),
inference(forward_demodulation,[],[f4350,f398]) ).
fof(f4350,plain,
( sK2 = sum(pred(sum(n16,succ(n16))),sum(n16,pred(sum(n16,n16))))
| ~ spl3_17
| ~ spl3_38 ),
inference(forward_demodulation,[],[f4331,f788]) ).
fof(f4331,plain,
( sK2 = sum(pred(sum(sK0,succ(n16))),sum(n16,pred(sum(sK0,n16))))
| ~ spl3_38 ),
inference(superposition,[],[f489,f894]) ).
fof(f4330,plain,
( ~ spl3_17
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f4329]) ).
fof(f4329,plain,
( $false
| ~ spl3_17
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f4328,f494]) ).
fof(f4328,plain,
( n4 = sK2
| ~ spl3_17
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4327,f50]) ).
fof(f4327,plain,
( sum(n0,n4) = sK2
| ~ spl3_17
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4326,f26]) ).
fof(f4326,plain,
( sK2 = sum(pred(n1),n4)
| ~ spl3_17
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4325,f388]) ).
fof(f4325,plain,
( sK2 = sum(pred(sum(n16,n6)),n4)
| ~ spl3_17
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4324,f9]) ).
fof(f4324,plain,
( sK2 = sum(pred(sum(n16,succ(n5))),n4)
| ~ spl3_17
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4323,f171]) ).
fof(f4323,plain,
( sK2 = sum(pred(sum(n16,succ(n5))),sum(n5,n20))
| ~ spl3_17
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4322,f25]) ).
fof(f4322,plain,
( sK2 = sum(pred(sum(n16,succ(n5))),sum(n5,pred(n0)))
| ~ spl3_17
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4321,f387]) ).
fof(f4321,plain,
( sK2 = sum(pred(sum(n16,succ(n5))),sum(n5,pred(sum(n16,n5))))
| ~ spl3_17
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4305,f788]) ).
fof(f4305,plain,
( sK2 = sum(pred(sum(sK0,succ(n5))),sum(n5,pred(sum(sK0,n5))))
| ~ spl3_27 ),
inference(superposition,[],[f489,f850]) ).
fof(f4304,plain,
( ~ spl3_17
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f4303]) ).
fof(f4303,plain,
( $false
| ~ spl3_17
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f4302,f497]) ).
fof(f4302,plain,
( n7 = sK2
| ~ spl3_17
| ~ spl3_28 ),
inference(forward_demodulation,[],[f4301,f73]) ).
fof(f4301,plain,
( sum(n1,n6) = sK2
| ~ spl3_17
| ~ spl3_28 ),
inference(forward_demodulation,[],[f4300,f27]) ).
fof(f4300,plain,
( sK2 = sum(pred(n2),n6)
| ~ spl3_17
| ~ spl3_28 ),
inference(forward_demodulation,[],[f4299,f389]) ).
fof(f4299,plain,
( sK2 = sum(pred(sum(n16,n7)),n6)
| ~ spl3_17
| ~ spl3_28 ),
inference(forward_demodulation,[],[f4298,f10]) ).
fof(f4298,plain,
( sK2 = sum(pred(sum(n16,succ(n6))),n6)
| ~ spl3_17
| ~ spl3_28 ),
inference(forward_demodulation,[],[f4297,f172]) ).
fof(f4297,plain,
( sK2 = sum(pred(sum(n16,succ(n6))),sum(n6,n0))
| ~ spl3_17
| ~ spl3_28 ),
inference(forward_demodulation,[],[f4296,f26]) ).
fof(f4296,plain,
( sK2 = sum(pred(sum(n16,succ(n6))),sum(n6,pred(n1)))
| ~ spl3_17
| ~ spl3_28 ),
inference(forward_demodulation,[],[f4295,f388]) ).
fof(f4295,plain,
( sK2 = sum(pred(sum(n16,succ(n6))),sum(n6,pred(sum(n16,n6))))
| ~ spl3_17
| ~ spl3_28 ),
inference(forward_demodulation,[],[f4278,f788]) ).
fof(f4278,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_28 ),
inference(superposition,[],[f489,f854]) ).
fof(f4277,plain,
( ~ spl3_17
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f4276]) ).
fof(f4276,plain,
( $false
| ~ spl3_17
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f4275,f509]) ).
fof(f4275,plain,
( n19 = sK2
| ~ spl3_17
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4274,f445]) ).
fof(f4274,plain,
( sum(n19,n0) = sK2
| ~ spl3_17
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4273,f45]) ).
fof(f4273,plain,
( sK2 = sum(pred(n20),n0)
| ~ spl3_17
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4272,f386]) ).
fof(f4272,plain,
( sK2 = sum(pred(sum(n16,n4)),n0)
| ~ spl3_17
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4271,f7]) ).
fof(f4271,plain,
( sK2 = sum(pred(sum(n16,succ(n3))),n0)
| ~ spl3_17
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4270,f127]) ).
fof(f4270,plain,
( sK2 = sum(pred(sum(n16,succ(n3))),sum(n3,n18))
| ~ spl3_17
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4269,f44]) ).
fof(f4269,plain,
( sK2 = sum(pred(sum(n16,succ(n3))),sum(n3,pred(n19)))
| ~ spl3_17
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4268,f385]) ).
fof(f4268,plain,
( sK2 = sum(pred(sum(n16,succ(n3))),sum(n3,pred(sum(n16,n3))))
| ~ spl3_17
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4251,f788]) ).
fof(f4251,plain,
( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
| ~ spl3_25 ),
inference(superposition,[],[f489,f842]) ).
fof(f4250,plain,
( ~ spl3_17
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f4249]) ).
fof(f4249,plain,
( $false
| ~ spl3_17
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f4248,f500]) ).
fof(f4248,plain,
( n10 = sK2
| ~ spl3_17
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4247,f96]) ).
fof(f4247,plain,
( sum(n2,n8) = sK2
| ~ spl3_17
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4246,f28]) ).
fof(f4246,plain,
( sK2 = sum(pred(n3),n8)
| ~ spl3_17
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4245,f390]) ).
fof(f4245,plain,
( sK2 = sum(pred(sum(n16,n8)),n8)
| ~ spl3_17
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4244,f11]) ).
fof(f4244,plain,
( sK2 = sum(pred(sum(n16,succ(n7))),n8)
| ~ spl3_17
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4243,f194]) ).
fof(f4243,plain,
( sK2 = sum(pred(sum(n16,succ(n7))),sum(n7,n1))
| ~ spl3_17
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4242,f27]) ).
fof(f4242,plain,
( sK2 = sum(pred(sum(n16,succ(n7))),sum(n7,pred(n2)))
| ~ spl3_17
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4241,f389]) ).
fof(f4241,plain,
( sK2 = sum(pred(sum(n16,succ(n7))),sum(n7,pred(sum(n16,n7))))
| ~ spl3_17
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4223,f788]) ).
fof(f4223,plain,
( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
| ~ spl3_29 ),
inference(superposition,[],[f489,f858]) ).
fof(f4201,plain,
( ~ spl3_13
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f4200]) ).
fof(f4200,plain,
( $false
| ~ spl3_13
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f4199,f504]) ).
fof(f4199,plain,
( n14 = sK2
| ~ spl3_13
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4198,f100]) ).
fof(f4198,plain,
( sum(n2,n12) = sK2
| ~ spl3_13
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4197,f28]) ).
fof(f4197,plain,
( sK2 = sum(pred(n3),n12)
| ~ spl3_13
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4196,f310]) ).
fof(f4196,plain,
( sK2 = sum(pred(sum(n12,n12)),n12)
| ~ spl3_13
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4195,f15]) ).
fof(f15,plain,
succ(n11) = n12,
inference(cnf_transformation,[],[f3]) ).
fof(f4195,plain,
( sK2 = sum(pred(sum(n12,succ(n11))),n12)
| ~ spl3_13
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4194,f278]) ).
fof(f4194,plain,
( sK2 = sum(pred(sum(n12,succ(n11))),sum(n11,n1))
| ~ spl3_13
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4193,f27]) ).
fof(f4193,plain,
( sK2 = sum(pred(sum(n12,succ(n11))),sum(n11,pred(n2)))
| ~ spl3_13
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4192,f309]) ).
fof(f4192,plain,
( sK2 = sum(pred(sum(n12,succ(n11))),sum(n11,pred(sum(n12,n11))))
| ~ spl3_13
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4173,f874]) ).
fof(f874,plain,
( n11 = sK1
| ~ spl3_33 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f872,plain,
( spl3_33
<=> n11 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_33])]) ).
fof(f4173,plain,
( sK2 = sum(pred(sum(n12,succ(sK1))),sum(sK1,pred(sum(n12,sK1))))
| ~ spl3_13 ),
inference(superposition,[],[f489,f772]) ).
fof(f4172,plain,
( ~ spl3_17
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f4171]) ).
fof(f4171,plain,
( $false
| ~ spl3_17
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f4170,f491]) ).
fof(f4170,plain,
( n1 = sK2
| ~ spl3_17
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4169,f188]) ).
fof(f4169,plain,
( sum(n6,n16) = sK2
| ~ spl3_17
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4168,f32]) ).
fof(f4168,plain,
( sK2 = sum(pred(n7),n16)
| ~ spl3_17
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4167,f394]) ).
fof(f4167,plain,
( sK2 = sum(pred(sum(n16,n12)),n16)
| ~ spl3_17
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4166,f15]) ).
fof(f4166,plain,
( sK2 = sum(pred(sum(n16,succ(n11))),n16)
| ~ spl3_17
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4165,f282]) ).
fof(f4165,plain,
( sK2 = sum(pred(sum(n16,succ(n11))),sum(n11,n5))
| ~ spl3_17
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4164,f31]) ).
fof(f4164,plain,
( sK2 = sum(pred(sum(n16,succ(n11))),sum(n11,pred(n6)))
| ~ spl3_17
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4163,f393]) ).
fof(f4163,plain,
( sK2 = sum(pred(sum(n16,succ(n11))),sum(n11,pred(sum(n16,n11))))
| ~ spl3_17
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4143,f874]) ).
fof(f4143,plain,
( sK2 = sum(pred(sum(n16,succ(sK1))),sum(sK1,pred(sum(n16,sK1))))
| ~ spl3_17 ),
inference(superposition,[],[f489,f788]) ).
fof(f4142,plain,
( ~ spl3_11
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f4141]) ).
fof(f4141,plain,
( $false
| ~ spl3_11
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f4140,f500]) ).
fof(f4140,plain,
( n10 = sK2
| ~ spl3_11
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4139,f56]) ).
fof(f4139,plain,
( sum(n0,n10) = sK2
| ~ spl3_11
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4138,f26]) ).
fof(f4138,plain,
( sK2 = sum(pred(n1),n10)
| ~ spl3_11
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4137,f268]) ).
fof(f4137,plain,
( sK2 = sum(pred(sum(n10,n12)),n10)
| ~ spl3_11
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4136,f15]) ).
fof(f4136,plain,
( sK2 = sum(pred(sum(n10,succ(n11))),n10)
| ~ spl3_11
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4135,f297]) ).
fof(f4135,plain,
( sK2 = sum(pred(sum(n10,succ(n11))),sum(n11,n20))
| ~ spl3_11
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4134,f25]) ).
fof(f4134,plain,
( sK2 = sum(pred(sum(n10,succ(n11))),sum(n11,pred(n0)))
| ~ spl3_11
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4133,f267]) ).
fof(f4133,plain,
( sK2 = sum(pred(sum(n10,succ(n11))),sum(n11,pred(sum(n10,n11))))
| ~ spl3_11
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4114,f874]) ).
fof(f4114,plain,
( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
| ~ spl3_11 ),
inference(superposition,[],[f489,f764]) ).
fof(f4113,plain,
( ~ spl3_1
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f4112]) ).
fof(f4112,plain,
( $false
| ~ spl3_1
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f4111,f501]) ).
fof(f4111,plain,
( n11 = sK2
| ~ spl3_1
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4110,f277]) ).
fof(f4110,plain,
( sum(n11,n0) = sK2
| ~ spl3_1
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4109,f37]) ).
fof(f4109,plain,
( sK2 = sum(pred(n12),n0)
| ~ spl3_1
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4108,f58]) ).
fof(f4108,plain,
( sK2 = sum(pred(sum(n0,n12)),n0)
| ~ spl3_1
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4107,f15]) ).
fof(f4107,plain,
( sK2 = sum(pred(sum(n0,succ(n11))),n0)
| ~ spl3_1
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4106,f287]) ).
fof(f4106,plain,
( sK2 = sum(pred(sum(n0,succ(n11))),sum(n11,n10))
| ~ spl3_1
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4105,f36]) ).
fof(f4105,plain,
( sK2 = sum(pred(sum(n0,succ(n11))),sum(n11,pred(n11)))
| ~ spl3_1
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4104,f57]) ).
fof(f4104,plain,
( sK2 = sum(pred(sum(n0,succ(n11))),sum(n11,pred(sum(n0,n11))))
| ~ spl3_1
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4085,f874]) ).
fof(f4085,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f489,f724]) ).
fof(f4084,plain,
( ~ spl3_12
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f4083]) ).
fof(f4083,plain,
( $false
| ~ spl3_12
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f4082,f502]) ).
fof(f4082,plain,
( n12 = sK2
| ~ spl3_12
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4081,f78]) ).
fof(f4081,plain,
( sum(n1,n11) = sK2
| ~ spl3_12
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4080,f27]) ).
fof(f4080,plain,
( sK2 = sum(pred(n2),n11)
| ~ spl3_12
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4079,f289]) ).
fof(f4079,plain,
( sK2 = sum(pred(sum(n11,n12)),n11)
| ~ spl3_12
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4078,f15]) ).
fof(f4078,plain,
( sK2 = sum(pred(sum(n11,succ(n11))),n11)
| ~ spl3_12
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4077,f277]) ).
fof(f4077,plain,
( sK2 = sum(pred(sum(n11,succ(n11))),sum(n11,n0))
| ~ spl3_12
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4076,f26]) ).
fof(f4076,plain,
( sK2 = sum(pred(sum(n11,succ(n11))),sum(n11,pred(n1)))
| ~ spl3_12
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4075,f288]) ).
fof(f4075,plain,
( sK2 = sum(pred(sum(n11,succ(n11))),sum(n11,pred(sum(n11,n11))))
| ~ spl3_12
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4055,f874]) ).
fof(f4055,plain,
( sK2 = sum(pred(sum(n11,succ(sK1))),sum(sK1,pred(sum(n11,sK1))))
| ~ spl3_12 ),
inference(superposition,[],[f489,f768]) ).
fof(f4054,plain,
( ~ spl3_21
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f4053]) ).
fof(f4053,plain,
( $false
| ~ spl3_21
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f4052,f499]) ).
fof(f4052,plain,
( n9 = sK2
| ~ spl3_21
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4051,f276]) ).
fof(f4051,plain,
( sum(n10,n20) = sK2
| ~ spl3_21
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4050,f36]) ).
fof(f4050,plain,
( sK2 = sum(pred(n11),n20)
| ~ spl3_21
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4049,f478]) ).
fof(f4049,plain,
( sK2 = sum(pred(sum(n20,n12)),n20)
| ~ spl3_21
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4048,f15]) ).
fof(f4048,plain,
( sK2 = sum(pred(sum(n20,succ(n11))),n20)
| ~ spl3_21
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4047,f286]) ).
fof(f4047,plain,
( sK2 = sum(pred(sum(n20,succ(n11))),sum(n11,n9))
| ~ spl3_21
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4046,f35]) ).
fof(f4046,plain,
( sK2 = sum(pred(sum(n20,succ(n11))),sum(n11,pred(n10)))
| ~ spl3_21
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4045,f477]) ).
fof(f4045,plain,
( sK2 = sum(pred(sum(n20,succ(n11))),sum(n11,pred(sum(n20,n11))))
| ~ spl3_21
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4024,f874]) ).
fof(f4024,plain,
( sK2 = sum(pred(sum(n20,succ(sK1))),sum(sK1,pred(sum(n20,sK1))))
| ~ spl3_21 ),
inference(superposition,[],[f489,f804]) ).
fof(f4023,plain,
( ~ spl3_20
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f4022]) ).
fof(f4022,plain,
( $false
| ~ spl3_20
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f4021,f497]) ).
fof(f4021,plain,
( n7 = sK2
| ~ spl3_20
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4020,f254]) ).
fof(f4020,plain,
( sum(n9,n19) = sK2
| ~ spl3_20
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4019,f35]) ).
fof(f4019,plain,
( sK2 = sum(pred(n10),n19)
| ~ spl3_20
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4018,f457]) ).
fof(f4018,plain,
( sK2 = sum(pred(sum(n19,n12)),n19)
| ~ spl3_20
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4017,f15]) ).
fof(f4017,plain,
( sK2 = sum(pred(sum(n19,succ(n11))),n19)
| ~ spl3_20
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4016,f285]) ).
fof(f4016,plain,
( sK2 = sum(pred(sum(n19,succ(n11))),sum(n11,n8))
| ~ spl3_20
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4015,f34]) ).
fof(f4015,plain,
( sK2 = sum(pred(sum(n19,succ(n11))),sum(n11,pred(n9)))
| ~ spl3_20
| ~ spl3_33 ),
inference(forward_demodulation,[],[f4014,f456]) ).
fof(f4014,plain,
( sK2 = sum(pred(sum(n19,succ(n11))),sum(n11,pred(sum(n19,n11))))
| ~ spl3_20
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3994,f874]) ).
fof(f3994,plain,
( sK2 = sum(pred(sum(n19,succ(sK1))),sum(sK1,pred(sum(n19,sK1))))
| ~ spl3_20 ),
inference(superposition,[],[f489,f800]) ).
fof(f3993,plain,
( ~ spl3_3
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f3992]) ).
fof(f3992,plain,
( $false
| ~ spl3_3
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f3991,f505]) ).
fof(f3991,plain,
( n15 = sK2
| ~ spl3_3
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3990,f321]) ).
fof(f3990,plain,
( sum(n13,n2) = sK2
| ~ spl3_3
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3989,f39]) ).
fof(f3989,plain,
( sK2 = sum(pred(n14),n2)
| ~ spl3_3
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3988,f100]) ).
fof(f3988,plain,
( sK2 = sum(pred(sum(n2,n12)),n2)
| ~ spl3_3
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3987,f15]) ).
fof(f3987,plain,
( sK2 = sum(pred(sum(n2,succ(n11))),n2)
| ~ spl3_3
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3986,f289]) ).
fof(f3986,plain,
( sK2 = sum(pred(sum(n2,succ(n11))),sum(n11,n12))
| ~ spl3_3
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3985,f38]) ).
fof(f3985,plain,
( sK2 = sum(pred(sum(n2,succ(n11))),sum(n11,pred(n13)))
| ~ spl3_3
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3984,f99]) ).
fof(f3984,plain,
( sK2 = sum(pred(sum(n2,succ(n11))),sum(n11,pred(sum(n2,n11))))
| ~ spl3_3
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3969,f874]) ).
fof(f3969,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f489,f732]) ).
fof(f3968,plain,
( ~ spl3_5
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f3967]) ).
fof(f3967,plain,
( $false
| ~ spl3_5
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f3966,f509]) ).
fof(f3966,plain,
( n19 = sK2
| ~ spl3_5
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3965,f365]) ).
fof(f3965,plain,
( sum(n15,n4) = sK2
| ~ spl3_5
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3964,f41]) ).
fof(f3964,plain,
( sK2 = sum(pred(n16),n4)
| ~ spl3_5
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3963,f142]) ).
fof(f3963,plain,
( sK2 = sum(pred(sum(n4,n12)),n4)
| ~ spl3_5
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3962,f15]) ).
fof(f3962,plain,
( sK2 = sum(pred(sum(n4,succ(n11))),n4)
| ~ spl3_5
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3961,f291]) ).
fof(f3961,plain,
( sK2 = sum(pred(sum(n4,succ(n11))),sum(n11,n14))
| ~ spl3_5
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3960,f40]) ).
fof(f3960,plain,
( sK2 = sum(pred(sum(n4,succ(n11))),sum(n11,pred(n15)))
| ~ spl3_5
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3959,f141]) ).
fof(f3959,plain,
( sK2 = sum(pred(sum(n4,succ(n11))),sum(n11,pred(sum(n4,n11))))
| ~ spl3_5
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3943,f874]) ).
fof(f3943,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f489,f740]) ).
fof(f3942,plain,
( ~ spl3_8
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f3941]) ).
fof(f3941,plain,
( $false
| ~ spl3_8
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f3940,f494]) ).
fof(f3940,plain,
( n4 = sK2
| ~ spl3_8
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3939,f431]) ).
fof(f3939,plain,
( sum(n18,n7) = sK2
| ~ spl3_8
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3938,f44]) ).
fof(f3938,plain,
( sK2 = sum(pred(n19),n7)
| ~ spl3_8
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3937,f205]) ).
fof(f3937,plain,
( sK2 = sum(pred(sum(n7,n12)),n7)
| ~ spl3_8
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3936,f15]) ).
fof(f3936,plain,
( sK2 = sum(pred(sum(n7,succ(n11))),n7)
| ~ spl3_8
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3935,f294]) ).
fof(f3935,plain,
( sK2 = sum(pred(sum(n7,succ(n11))),sum(n11,n17))
| ~ spl3_8
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3934,f43]) ).
fof(f3934,plain,
( sK2 = sum(pred(sum(n7,succ(n11))),sum(n11,pred(n18)))
| ~ spl3_8
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3933,f204]) ).
fof(f3933,plain,
( sK2 = sum(pred(sum(n7,succ(n11))),sum(n11,pred(sum(n7,n11))))
| ~ spl3_8
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3916,f874]) ).
fof(f3916,plain,
( sK2 = sum(pred(sum(n7,succ(sK1))),sum(sK1,pred(sum(n7,sK1))))
| ~ spl3_8 ),
inference(superposition,[],[f489,f752]) ).
fof(f3915,plain,
( ~ spl3_18
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f3914]) ).
fof(f3914,plain,
( $false
| ~ spl3_18
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f3913,f493]) ).
fof(f3913,plain,
( n3 = sK2
| ~ spl3_18
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3912,f210]) ).
fof(f3912,plain,
( sum(n7,n17) = sK2
| ~ spl3_18
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3911,f33]) ).
fof(f3911,plain,
( sK2 = sum(pred(n8),n17)
| ~ spl3_18
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3910,f415]) ).
fof(f3910,plain,
( sK2 = sum(pred(sum(n17,n12)),n17)
| ~ spl3_18
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3909,f15]) ).
fof(f3909,plain,
( sK2 = sum(pred(sum(n17,succ(n11))),n17)
| ~ spl3_18
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3908,f283]) ).
fof(f3908,plain,
( sK2 = sum(pred(sum(n17,succ(n11))),sum(n11,n6))
| ~ spl3_18
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3907,f32]) ).
fof(f3907,plain,
( sK2 = sum(pred(sum(n17,succ(n11))),sum(n11,pred(n7)))
| ~ spl3_18
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3906,f414]) ).
fof(f3906,plain,
( sK2 = sum(pred(sum(n17,succ(n11))),sum(n11,pred(sum(n17,n11))))
| ~ spl3_18
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3888,f874]) ).
fof(f3888,plain,
( sK2 = sum(pred(sum(n17,succ(sK1))),sum(sK1,pred(sum(n17,sK1))))
| ~ spl3_18 ),
inference(superposition,[],[f489,f792]) ).
fof(f3887,plain,
( ~ spl3_6
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f3886]) ).
fof(f3886,plain,
( $false
| ~ spl3_6
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f3885,f490]) ).
fof(f3885,plain,
( n0 = sK2
| ~ spl3_6
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3884,f387]) ).
fof(f3884,plain,
( sum(n16,n5) = sK2
| ~ spl3_6
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3883,f42]) ).
fof(f3883,plain,
( sK2 = sum(pred(n17),n5)
| ~ spl3_6
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3882,f163]) ).
fof(f3882,plain,
( sK2 = sum(pred(sum(n5,n12)),n5)
| ~ spl3_6
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3881,f15]) ).
fof(f3881,plain,
( sK2 = sum(pred(sum(n5,succ(n11))),n5)
| ~ spl3_6
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3880,f292]) ).
fof(f3880,plain,
( sK2 = sum(pred(sum(n5,succ(n11))),sum(n11,n15))
| ~ spl3_6
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3879,f41]) ).
fof(f3879,plain,
( sK2 = sum(pred(sum(n5,succ(n11))),sum(n11,pred(n16)))
| ~ spl3_6
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3878,f162]) ).
fof(f3878,plain,
( sK2 = sum(pred(sum(n5,succ(n11))),sum(n11,pred(sum(n5,n11))))
| ~ spl3_6
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3862,f874]) ).
fof(f3862,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f489,f744]) ).
fof(f3861,plain,
( ~ spl3_9
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f3860]) ).
fof(f3860,plain,
( $false
| ~ spl3_9
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f3859,f496]) ).
fof(f3859,plain,
( n6 = sK2
| ~ spl3_9
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3858,f453]) ).
fof(f3858,plain,
( sum(n19,n8) = sK2
| ~ spl3_9
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3857,f45]) ).
fof(f3857,plain,
( sK2 = sum(pred(n20),n8)
| ~ spl3_9
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3856,f226]) ).
fof(f3856,plain,
( sK2 = sum(pred(sum(n8,n12)),n8)
| ~ spl3_9
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3855,f15]) ).
fof(f3855,plain,
( sK2 = sum(pred(sum(n8,succ(n11))),n8)
| ~ spl3_9
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3854,f295]) ).
fof(f3854,plain,
( sK2 = sum(pred(sum(n8,succ(n11))),sum(n11,n18))
| ~ spl3_9
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3853,f44]) ).
fof(f3853,plain,
( sK2 = sum(pred(sum(n8,succ(n11))),sum(n11,pred(n19)))
| ~ spl3_9
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3852,f225]) ).
fof(f3852,plain,
( sK2 = sum(pred(sum(n8,succ(n11))),sum(n11,pred(sum(n8,n11))))
| ~ spl3_9
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3835,f874]) ).
fof(f3835,plain,
( sK2 = sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1))))
| ~ spl3_9 ),
inference(superposition,[],[f489,f756]) ).
fof(f3834,plain,
( ~ spl3_10
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f3833]) ).
fof(f3833,plain,
( $false
| ~ spl3_10
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f3832,f498]) ).
fof(f3832,plain,
( n8 = sK2
| ~ spl3_10
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3831,f475]) ).
fof(f3831,plain,
( sum(n20,n9) = sK2
| ~ spl3_10
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3830,f25]) ).
fof(f3830,plain,
( sK2 = sum(pred(n0),n9)
| ~ spl3_10
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3829,f247]) ).
fof(f3829,plain,
( sK2 = sum(pred(sum(n9,n12)),n9)
| ~ spl3_10
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3828,f15]) ).
fof(f3828,plain,
( sK2 = sum(pred(sum(n9,succ(n11))),n9)
| ~ spl3_10
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3827,f296]) ).
fof(f3827,plain,
( sK2 = sum(pred(sum(n9,succ(n11))),sum(n11,n19))
| ~ spl3_10
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3826,f45]) ).
fof(f3826,plain,
( sK2 = sum(pred(sum(n9,succ(n11))),sum(n11,pred(n20)))
| ~ spl3_10
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3825,f246]) ).
fof(f3825,plain,
( sK2 = sum(pred(sum(n9,succ(n11))),sum(n11,pred(sum(n9,n11))))
| ~ spl3_10
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3807,f874]) ).
fof(f3807,plain,
( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
| ~ spl3_10 ),
inference(superposition,[],[f489,f760]) ).
fof(f3806,plain,
( ~ spl3_19
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f3805]) ).
fof(f3805,plain,
( $false
| ~ spl3_19
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f3804,f495]) ).
fof(f3804,plain,
( n5 = sK2
| ~ spl3_19
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3803,f232]) ).
fof(f3803,plain,
( sum(n8,n18) = sK2
| ~ spl3_19
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3802,f34]) ).
fof(f3802,plain,
( sK2 = sum(pred(n9),n18)
| ~ spl3_19
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3801,f436]) ).
fof(f3801,plain,
( sK2 = sum(pred(sum(n18,n12)),n18)
| ~ spl3_19
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3800,f15]) ).
fof(f3800,plain,
( sK2 = sum(pred(sum(n18,succ(n11))),n18)
| ~ spl3_19
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3799,f284]) ).
fof(f3799,plain,
( sK2 = sum(pred(sum(n18,succ(n11))),sum(n11,n7))
| ~ spl3_19
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3798,f33]) ).
fof(f3798,plain,
( sK2 = sum(pred(sum(n18,succ(n11))),sum(n11,pred(n8)))
| ~ spl3_19
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3797,f435]) ).
fof(f3797,plain,
( sK2 = sum(pred(sum(n18,succ(n11))),sum(n11,pred(sum(n18,n11))))
| ~ spl3_19
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3778,f874]) ).
fof(f3778,plain,
( sK2 = sum(pred(sum(n18,succ(sK1))),sum(sK1,pred(sum(n18,sK1))))
| ~ spl3_19 ),
inference(superposition,[],[f489,f796]) ).
fof(f3777,plain,
( ~ spl3_7
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f3776]) ).
fof(f3776,plain,
( $false
| ~ spl3_7
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f3775,f492]) ).
fof(f3775,plain,
( n2 = sK2
| ~ spl3_7
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3774,f409]) ).
fof(f3774,plain,
( sum(n17,n6) = sK2
| ~ spl3_7
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3773,f43]) ).
fof(f3773,plain,
( sK2 = sum(pred(n18),n6)
| ~ spl3_7
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3772,f184]) ).
fof(f3772,plain,
( sK2 = sum(pred(sum(n6,n12)),n6)
| ~ spl3_7
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3771,f15]) ).
fof(f3771,plain,
( sK2 = sum(pred(sum(n6,succ(n11))),n6)
| ~ spl3_7
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3770,f293]) ).
fof(f3770,plain,
( sK2 = sum(pred(sum(n6,succ(n11))),sum(n11,n16))
| ~ spl3_7
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3769,f42]) ).
fof(f3769,plain,
( sK2 = sum(pred(sum(n6,succ(n11))),sum(n11,pred(n17)))
| ~ spl3_7
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3768,f183]) ).
fof(f3768,plain,
( sK2 = sum(pred(sum(n6,succ(n11))),sum(n11,pred(sum(n6,n11))))
| ~ spl3_7
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3751,f874]) ).
fof(f3751,plain,
( sK2 = sum(pred(sum(n6,succ(sK1))),sum(sK1,pred(sum(n6,sK1))))
| ~ spl3_7 ),
inference(superposition,[],[f489,f748]) ).
fof(f3750,plain,
( ~ spl3_4
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f3749]) ).
fof(f3749,plain,
( $false
| ~ spl3_4
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f3748,f507]) ).
fof(f3748,plain,
( n17 = sK2
| ~ spl3_4
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3747,f343]) ).
fof(f3747,plain,
( sum(n14,n3) = sK2
| ~ spl3_4
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3746,f40]) ).
fof(f3746,plain,
( sK2 = sum(pred(n15),n3)
| ~ spl3_4
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3745,f121]) ).
fof(f3745,plain,
( sK2 = sum(pred(sum(n3,n12)),n3)
| ~ spl3_4
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3744,f15]) ).
fof(f3744,plain,
( sK2 = sum(pred(sum(n3,succ(n11))),n3)
| ~ spl3_4
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3743,f290]) ).
fof(f3743,plain,
( sK2 = sum(pred(sum(n3,succ(n11))),sum(n11,n13))
| ~ spl3_4
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3742,f39]) ).
fof(f3742,plain,
( sK2 = sum(pred(sum(n3,succ(n11))),sum(n11,pred(n14)))
| ~ spl3_4
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3741,f120]) ).
fof(f3741,plain,
( sK2 = sum(pred(sum(n3,succ(n11))),sum(n11,pred(sum(n3,n11))))
| ~ spl3_4
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3724,f874]) ).
fof(f3724,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f489,f736]) ).
fof(f3722,plain,
( ~ spl3_14
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f3721]) ).
fof(f3721,plain,
( $false
| ~ spl3_14
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f3720,f506]) ).
fof(f3720,plain,
( n16 = sK2
| ~ spl3_14
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3719,f122]) ).
fof(f3719,plain,
( sum(n3,n13) = sK2
| ~ spl3_14
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3718,f29]) ).
fof(f3718,plain,
( sK2 = sum(pred(n4),n13)
| ~ spl3_14
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3717,f331]) ).
fof(f3717,plain,
( sK2 = sum(pred(sum(n13,n12)),n13)
| ~ spl3_14
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3716,f15]) ).
fof(f3716,plain,
( sK2 = sum(pred(sum(n13,succ(n11))),n13)
| ~ spl3_14
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3715,f279]) ).
fof(f3715,plain,
( sK2 = sum(pred(sum(n13,succ(n11))),sum(n11,n2))
| ~ spl3_14
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3714,f28]) ).
fof(f3714,plain,
( sK2 = sum(pred(sum(n13,succ(n11))),sum(n11,pred(n3)))
| ~ spl3_14
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3713,f330]) ).
fof(f3713,plain,
( sK2 = sum(pred(sum(n13,succ(n11))),sum(n11,pred(sum(n13,n11))))
| ~ spl3_14
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3694,f776]) ).
fof(f3694,plain,
( sK2 = sum(pred(sum(sK0,succ(n11))),sum(n11,pred(sum(sK0,n11))))
| ~ spl3_33 ),
inference(superposition,[],[f489,f874]) ).
fof(f3672,plain,
( ~ spl3_16
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f3671]) ).
fof(f3671,plain,
( $false
| ~ spl3_16
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f3670,f507]) ).
fof(f3670,plain,
( n17 = sK2
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3669,f444]) ).
fof(f3669,plain,
( sum(n18,n20) = sK2
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3668,f44]) ).
fof(f3668,plain,
( sK2 = sum(pred(n19),n20)
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3667,f365]) ).
fof(f3667,plain,
( sK2 = sum(pred(sum(n15,n4)),n20)
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3666,f7]) ).
fof(f3666,plain,
( sK2 = sum(pred(sum(n15,succ(n3))),n20)
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3665,f126]) ).
fof(f3665,plain,
( sK2 = sum(pred(sum(n15,succ(n3))),sum(n3,n17))
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3664,f43]) ).
fof(f3664,plain,
( sK2 = sum(pred(sum(n15,succ(n3))),sum(n3,pred(n18)))
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3663,f364]) ).
fof(f3663,plain,
( sK2 = sum(pred(sum(n15,succ(n3))),sum(n3,pred(sum(n15,n3))))
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3644,f784]) ).
fof(f784,plain,
( n15 = sK0
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f782,plain,
( spl3_16
<=> n15 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f3644,plain,
( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
| ~ spl3_25 ),
inference(superposition,[],[f489,f842]) ).
fof(f3643,plain,
( ~ spl3_16
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f3642]) ).
fof(f3642,plain,
( $false
| ~ spl3_16
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f3641,f492]) ).
fof(f3641,plain,
( n2 = sK2
| ~ spl3_16
| ~ spl3_41 ),
inference(forward_demodulation,[],[f3640,f329]) ).
fof(f3640,plain,
( sum(n13,n10) = sK2
| ~ spl3_16
| ~ spl3_41 ),
inference(forward_demodulation,[],[f3639,f39]) ).
fof(f3639,plain,
( sK2 = sum(pred(n14),n10)
| ~ spl3_16
| ~ spl3_41 ),
inference(forward_demodulation,[],[f3638,f381]) ).
fof(f3638,plain,
( sK2 = sum(pred(sum(n15,n20)),n10)
| ~ spl3_16
| ~ spl3_41 ),
inference(forward_demodulation,[],[f3637,f23]) ).
fof(f3637,plain,
( sK2 = sum(pred(sum(n15,succ(n19))),n10)
| ~ spl3_16
| ~ spl3_41 ),
inference(forward_demodulation,[],[f3636,f457]) ).
fof(f3636,plain,
( sK2 = sum(pred(sum(n15,succ(n19))),sum(n19,n12))
| ~ spl3_16
| ~ spl3_41 ),
inference(forward_demodulation,[],[f3635,f38]) ).
fof(f3635,plain,
( sK2 = sum(pred(sum(n15,succ(n19))),sum(n19,pred(n13)))
| ~ spl3_16
| ~ spl3_41 ),
inference(forward_demodulation,[],[f3634,f380]) ).
fof(f3634,plain,
( sK2 = sum(pred(sum(n15,succ(n19))),sum(n19,pred(sum(n15,n19))))
| ~ spl3_16
| ~ spl3_41 ),
inference(forward_demodulation,[],[f3614,f784]) ).
fof(f3614,plain,
( sK2 = sum(pred(sum(sK0,succ(n19))),sum(n19,pred(sum(sK0,n19))))
| ~ spl3_41 ),
inference(superposition,[],[f489,f906]) ).
fof(f3613,plain,
( ~ spl3_16
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f3612]) ).
fof(f3612,plain,
( $false
| ~ spl3_16
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f3611,f498]) ).
fof(f3611,plain,
( n8 = sK2
| ~ spl3_16
| ~ spl3_22 ),
inference(forward_demodulation,[],[f3610,f375]) ).
fof(f3610,plain,
( sum(n15,n14) = sK2
| ~ spl3_16
| ~ spl3_22 ),
inference(forward_demodulation,[],[f3609,f41]) ).
fof(f3609,plain,
( sK2 = sum(pred(n16),n14)
| ~ spl3_16
| ~ spl3_22 ),
inference(forward_demodulation,[],[f3608,f362]) ).
fof(f3608,plain,
( sK2 = sum(pred(sum(n15,n1)),n14)
| ~ spl3_16
| ~ spl3_22 ),
inference(forward_demodulation,[],[f3607,f4]) ).
fof(f3607,plain,
( sK2 = sum(pred(sum(n15,succ(n0))),n14)
| ~ spl3_16
| ~ spl3_22 ),
inference(forward_demodulation,[],[f3606,f60]) ).
fof(f3606,plain,
( sK2 = sum(pred(sum(n15,succ(n0))),sum(n0,n14))
| ~ spl3_16
| ~ spl3_22 ),
inference(forward_demodulation,[],[f3605,f40]) ).
fof(f3605,plain,
( sK2 = sum(pred(sum(n15,succ(n0))),sum(n0,pred(n15)))
| ~ spl3_16
| ~ spl3_22 ),
inference(forward_demodulation,[],[f3604,f361]) ).
fof(f3604,plain,
( sK2 = sum(pred(sum(n15,succ(n0))),sum(n0,pred(sum(n15,n0))))
| ~ spl3_16
| ~ spl3_22 ),
inference(forward_demodulation,[],[f3590,f784]) ).
fof(f3590,plain,
( sK2 = sum(pred(sum(sK0,succ(n0))),sum(n0,pred(sum(sK0,n0))))
| ~ spl3_22 ),
inference(superposition,[],[f489,f830]) ).
fof(f3589,plain,
( ~ spl3_16
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f3588]) ).
fof(f3588,plain,
( $false
| ~ spl3_16
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f3587,f510]) ).
fof(f3587,plain,
( n20 = sK2
| ~ spl3_16
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3586,f446]) ).
fof(f3586,plain,
( sum(n19,n1) = sK2
| ~ spl3_16
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3585,f45]) ).
fof(f3585,plain,
( sK2 = sum(pred(n20),n1)
| ~ spl3_16
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3584,f366]) ).
fof(f3584,plain,
( sK2 = sum(pred(sum(n15,n5)),n1)
| ~ spl3_16
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3583,f8]) ).
fof(f3583,plain,
( sK2 = sum(pred(sum(n15,succ(n4))),n1)
| ~ spl3_16
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3582,f148]) ).
fof(f3582,plain,
( sK2 = sum(pred(sum(n15,succ(n4))),sum(n4,n18))
| ~ spl3_16
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3581,f44]) ).
fof(f3581,plain,
( sK2 = sum(pred(sum(n15,succ(n4))),sum(n4,pred(n19)))
| ~ spl3_16
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3580,f365]) ).
fof(f3580,plain,
( sK2 = sum(pred(sum(n15,succ(n4))),sum(n4,pred(sum(n15,n4))))
| ~ spl3_16
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3565,f784]) ).
fof(f3565,plain,
( sK2 = sum(pred(sum(sK0,succ(n4))),sum(n4,pred(sum(sK0,n4))))
| ~ spl3_26 ),
inference(superposition,[],[f489,f846]) ).
fof(f3564,plain,
( ~ spl3_16
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f3563]) ).
fof(f3563,plain,
( $false
| ~ spl3_16
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f3562,f495]) ).
fof(f3562,plain,
( n5 = sK2
| ~ spl3_16
| ~ spl3_35 ),
inference(forward_demodulation,[],[f3561,f212]) ).
fof(f3561,plain,
( sum(n7,n19) = sK2
| ~ spl3_16
| ~ spl3_35 ),
inference(forward_demodulation,[],[f3560,f33]) ).
fof(f3560,plain,
( sK2 = sum(pred(n8),n19)
| ~ spl3_16
| ~ spl3_35 ),
inference(forward_demodulation,[],[f3559,f375]) ).
fof(f3559,plain,
( sK2 = sum(pred(sum(n15,n14)),n19)
| ~ spl3_16
| ~ spl3_35 ),
inference(forward_demodulation,[],[f3558,f17]) ).
fof(f3558,plain,
( sK2 = sum(pred(sum(n15,succ(n13))),n19)
| ~ spl3_16
| ~ spl3_35 ),
inference(forward_demodulation,[],[f3557,f325]) ).
fof(f3557,plain,
( sK2 = sum(pred(sum(n15,succ(n13))),sum(n13,n6))
| ~ spl3_16
| ~ spl3_35 ),
inference(forward_demodulation,[],[f3556,f32]) ).
fof(f3556,plain,
( sK2 = sum(pred(sum(n15,succ(n13))),sum(n13,pred(n7)))
| ~ spl3_16
| ~ spl3_35 ),
inference(forward_demodulation,[],[f3555,f374]) ).
fof(f3555,plain,
( sK2 = sum(pred(sum(n15,succ(n13))),sum(n13,pred(sum(n15,n13))))
| ~ spl3_16
| ~ spl3_35 ),
inference(forward_demodulation,[],[f3539,f784]) ).
fof(f3539,plain,
( sK2 = sum(pred(sum(sK0,succ(n13))),sum(n13,pred(sum(sK0,n13))))
| ~ spl3_35 ),
inference(superposition,[],[f489,f882]) ).
fof(f3538,plain,
( ~ spl3_16
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f3537]) ).
fof(f3537,plain,
( $false
| ~ spl3_16
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f3536,f501]) ).
fof(f3536,plain,
( n11 = sK2
| ~ spl3_16
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3535,f398]) ).
fof(f3535,plain,
( sum(n16,n16) = sK2
| ~ spl3_16
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3534,f42]) ).
fof(f3534,plain,
( sK2 = sum(pred(n17),n16)
| ~ spl3_16
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3533,f363]) ).
fof(f3533,plain,
( sK2 = sum(pred(sum(n15,n2)),n16)
| ~ spl3_16
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3532,f5]) ).
fof(f3532,plain,
( sK2 = sum(pred(sum(n15,succ(n1))),n16)
| ~ spl3_16
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3531,f82]) ).
fof(f3531,plain,
( sK2 = sum(pred(sum(n15,succ(n1))),sum(n1,n15))
| ~ spl3_16
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3530,f41]) ).
fof(f3530,plain,
( sK2 = sum(pred(sum(n15,succ(n1))),sum(n1,pred(n16)))
| ~ spl3_16
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3529,f362]) ).
fof(f3529,plain,
( sK2 = sum(pred(sum(n15,succ(n1))),sum(n1,pred(sum(n15,n1))))
| ~ spl3_16
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3513,f784]) ).
fof(f3513,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_23 ),
inference(superposition,[],[f489,f834]) ).
fof(f3512,plain,
( ~ spl3_16
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f3511]) ).
fof(f3511,plain,
( $false
| ~ spl3_16
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f3510,f504]) ).
fof(f3510,plain,
( n14 = sK2
| ~ spl3_16
| ~ spl3_38 ),
inference(forward_demodulation,[],[f3509,f260]) ).
fof(f3509,plain,
( sum(n10,n4) = sK2
| ~ spl3_16
| ~ spl3_38 ),
inference(forward_demodulation,[],[f3508,f36]) ).
fof(f3508,plain,
( sK2 = sum(pred(n11),n4)
| ~ spl3_16
| ~ spl3_38 ),
inference(forward_demodulation,[],[f3507,f378]) ).
fof(f3507,plain,
( sK2 = sum(pred(sum(n15,n17)),n4)
| ~ spl3_16
| ~ spl3_38 ),
inference(forward_demodulation,[],[f3506,f20]) ).
fof(f3506,plain,
( sK2 = sum(pred(sum(n15,succ(n16))),n4)
| ~ spl3_16
| ~ spl3_38 ),
inference(forward_demodulation,[],[f3505,f391]) ).
fof(f3505,plain,
( sK2 = sum(pred(sum(n15,succ(n16))),sum(n16,n9))
| ~ spl3_16
| ~ spl3_38 ),
inference(forward_demodulation,[],[f3504,f35]) ).
fof(f3504,plain,
( sK2 = sum(pred(sum(n15,succ(n16))),sum(n16,pred(n10)))
| ~ spl3_16
| ~ spl3_38 ),
inference(forward_demodulation,[],[f3503,f377]) ).
fof(f3503,plain,
( sK2 = sum(pred(sum(n15,succ(n16))),sum(n16,pred(sum(n15,n16))))
| ~ spl3_16
| ~ spl3_38 ),
inference(forward_demodulation,[],[f3486,f784]) ).
fof(f3486,plain,
( sK2 = sum(pred(sum(sK0,succ(n16))),sum(n16,pred(sum(sK0,n16))))
| ~ spl3_38 ),
inference(superposition,[],[f489,f894]) ).
fof(f3485,plain,
( ~ spl3_16
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f3484]) ).
fof(f3484,plain,
( $false
| ~ spl3_16
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f3483,f510]) ).
fof(f3483,plain,
( n20 = sK2
| ~ spl3_16
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3482,f166]) ).
fof(f3482,plain,
( sum(n5,n15) = sK2
| ~ spl3_16
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3481,f31]) ).
fof(f3481,plain,
( sK2 = sum(pred(n6),n15)
| ~ spl3_16
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3480,f373]) ).
fof(f3480,plain,
( sK2 = sum(pred(sum(n15,n12)),n15)
| ~ spl3_16
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3479,f15]) ).
fof(f3479,plain,
( sK2 = sum(pred(sum(n15,succ(n11))),n15)
| ~ spl3_16
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3478,f281]) ).
fof(f3478,plain,
( sK2 = sum(pred(sum(n15,succ(n11))),sum(n11,n4))
| ~ spl3_16
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3477,f30]) ).
fof(f3477,plain,
( sK2 = sum(pred(sum(n15,succ(n11))),sum(n11,pred(n5)))
| ~ spl3_16
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3476,f372]) ).
fof(f3476,plain,
( sK2 = sum(pred(sum(n15,succ(n11))),sum(n11,pred(sum(n15,n11))))
| ~ spl3_16
| ~ spl3_33 ),
inference(forward_demodulation,[],[f3459,f784]) ).
fof(f3459,plain,
( sK2 = sum(pred(sum(sK0,succ(n11))),sum(n11,pred(sum(sK0,n11))))
| ~ spl3_33 ),
inference(superposition,[],[f489,f874]) ).
fof(f3458,plain,
( ~ spl3_16
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f3457]) ).
fof(f3457,plain,
( $false
| ~ spl3_16
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f3456,f507]) ).
fof(f3456,plain,
( n17 = sK2
| ~ spl3_16
| ~ spl3_39 ),
inference(forward_demodulation,[],[f3455,f283]) ).
fof(f3455,plain,
( sum(n11,n6) = sK2
| ~ spl3_16
| ~ spl3_39 ),
inference(forward_demodulation,[],[f3454,f37]) ).
fof(f3454,plain,
( sK2 = sum(pred(n12),n6)
| ~ spl3_16
| ~ spl3_39 ),
inference(forward_demodulation,[],[f3453,f379]) ).
fof(f3453,plain,
( sK2 = sum(pred(sum(n15,n18)),n6)
| ~ spl3_16
| ~ spl3_39 ),
inference(forward_demodulation,[],[f3452,f21]) ).
fof(f3452,plain,
( sK2 = sum(pred(sum(n15,succ(n17))),n6)
| ~ spl3_16
| ~ spl3_39 ),
inference(forward_demodulation,[],[f3451,f413]) ).
fof(f3451,plain,
( sK2 = sum(pred(sum(n15,succ(n17))),sum(n17,n10))
| ~ spl3_16
| ~ spl3_39 ),
inference(forward_demodulation,[],[f3450,f36]) ).
fof(f3450,plain,
( sK2 = sum(pred(sum(n15,succ(n17))),sum(n17,pred(n11)))
| ~ spl3_16
| ~ spl3_39 ),
inference(forward_demodulation,[],[f3449,f378]) ).
fof(f3449,plain,
( sK2 = sum(pred(sum(n15,succ(n17))),sum(n17,pred(sum(n15,n17))))
| ~ spl3_16
| ~ spl3_39 ),
inference(forward_demodulation,[],[f3431,f784]) ).
fof(f3431,plain,
( sK2 = sum(pred(sum(sK0,succ(n17))),sum(n17,pred(sum(sK0,n17))))
| ~ spl3_39 ),
inference(superposition,[],[f489,f898]) ).
fof(f3430,plain,
( ~ spl3_16
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f3429]) ).
fof(f3429,plain,
( $false
| ~ spl3_16
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f3428,f492]) ).
fof(f3428,plain,
( n2 = sK2
| ~ spl3_16
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3427,f469]) ).
fof(f3427,plain,
( sum(n20,n3) = sK2
| ~ spl3_16
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3426,f25]) ).
fof(f3426,plain,
( sK2 = sum(pred(n0),n3)
| ~ spl3_16
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3425,f367]) ).
fof(f3425,plain,
( sK2 = sum(pred(sum(n15,n6)),n3)
| ~ spl3_16
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3424,f9]) ).
fof(f3424,plain,
( sK2 = sum(pred(sum(n15,succ(n5))),n3)
| ~ spl3_16
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3423,f170]) ).
fof(f3423,plain,
( sK2 = sum(pred(sum(n15,succ(n5))),sum(n5,n19))
| ~ spl3_16
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3422,f45]) ).
fof(f3422,plain,
( sK2 = sum(pred(sum(n15,succ(n5))),sum(n5,pred(n20)))
| ~ spl3_16
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3421,f366]) ).
fof(f3421,plain,
( sK2 = sum(pred(sum(n15,succ(n5))),sum(n5,pred(sum(n15,n5))))
| ~ spl3_16
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3403,f784]) ).
fof(f3403,plain,
( sK2 = sum(pred(sum(sK0,succ(n5))),sum(n5,pred(sum(sK0,n5))))
| ~ spl3_27 ),
inference(superposition,[],[f489,f850]) ).
fof(f3402,plain,
( ~ spl3_16
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f3401]) ).
fof(f3401,plain,
( $false
| ~ spl3_16
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f3400,f510]) ).
fof(f3400,plain,
( n20 = sK2
| ~ spl3_16
| ~ spl3_40 ),
inference(forward_demodulation,[],[f3399,f306]) ).
fof(f3399,plain,
( sum(n12,n8) = sK2
| ~ spl3_16
| ~ spl3_40 ),
inference(forward_demodulation,[],[f3398,f38]) ).
fof(f3398,plain,
( sK2 = sum(pred(n13),n8)
| ~ spl3_16
| ~ spl3_40 ),
inference(forward_demodulation,[],[f3397,f380]) ).
fof(f3397,plain,
( sK2 = sum(pred(sum(n15,n19)),n8)
| ~ spl3_16
| ~ spl3_40 ),
inference(forward_demodulation,[],[f3396,f22]) ).
fof(f3396,plain,
( sK2 = sum(pred(sum(n15,succ(n18))),n8)
| ~ spl3_16
| ~ spl3_40 ),
inference(forward_demodulation,[],[f3395,f435]) ).
fof(f3395,plain,
( sK2 = sum(pred(sum(n15,succ(n18))),sum(n18,n11))
| ~ spl3_16
| ~ spl3_40 ),
inference(forward_demodulation,[],[f3394,f37]) ).
fof(f3394,plain,
( sK2 = sum(pred(sum(n15,succ(n18))),sum(n18,pred(n12)))
| ~ spl3_16
| ~ spl3_40 ),
inference(forward_demodulation,[],[f3393,f379]) ).
fof(f3393,plain,
( sK2 = sum(pred(sum(n15,succ(n18))),sum(n18,pred(sum(n15,n18))))
| ~ spl3_16
| ~ spl3_40 ),
inference(forward_demodulation,[],[f3374,f784]) ).
fof(f3374,plain,
( sK2 = sum(pred(sum(sK0,succ(n18))),sum(n18,pred(sum(sK0,n18))))
| ~ spl3_40 ),
inference(superposition,[],[f489,f902]) ).
fof(f3373,plain,
( ~ spl3_16
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f3372]) ).
fof(f3372,plain,
( $false
| ~ spl3_16
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f3371,f498]) ).
fof(f3371,plain,
( n8 = sK2
| ~ spl3_16
| ~ spl3_36 ),
inference(forward_demodulation,[],[f3370,f214]) ).
fof(f3370,plain,
( sum(n8,n0) = sK2
| ~ spl3_16
| ~ spl3_36 ),
inference(forward_demodulation,[],[f3369,f34]) ).
fof(f3369,plain,
( sK2 = sum(pred(n9),n0)
| ~ spl3_16
| ~ spl3_36 ),
inference(forward_demodulation,[],[f3368,f376]) ).
fof(f376,plain,
n9 = sum(n15,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f3368,plain,
( sK2 = sum(pred(sum(n15,n15)),n0)
| ~ spl3_16
| ~ spl3_36 ),
inference(forward_demodulation,[],[f3367,f18]) ).
fof(f3367,plain,
( sK2 = sum(pred(sum(n15,succ(n14))),n0)
| ~ spl3_16
| ~ spl3_36 ),
inference(forward_demodulation,[],[f3366,f347]) ).
fof(f3366,plain,
( sK2 = sum(pred(sum(n15,succ(n14))),sum(n14,n7))
| ~ spl3_16
| ~ spl3_36 ),
inference(forward_demodulation,[],[f3365,f33]) ).
fof(f3365,plain,
( sK2 = sum(pred(sum(n15,succ(n14))),sum(n14,pred(n8)))
| ~ spl3_16
| ~ spl3_36 ),
inference(forward_demodulation,[],[f3364,f375]) ).
fof(f3364,plain,
( sK2 = sum(pred(sum(n15,succ(n14))),sum(n14,pred(sum(n15,n14))))
| ~ spl3_16
| ~ spl3_36 ),
inference(forward_demodulation,[],[f3348,f784]) ).
fof(f3348,plain,
( sK2 = sum(pred(sum(sK0,succ(n14))),sum(n14,pred(sum(sK0,n14))))
| ~ spl3_36 ),
inference(superposition,[],[f489,f886]) ).
fof(f3347,plain,
( ~ spl3_16
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f3346]) ).
fof(f3346,plain,
( $false
| ~ spl3_16
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f3345,f495]) ).
fof(f3345,plain,
( n5 = sK2
| ~ spl3_16
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3344,f51]) ).
fof(f3344,plain,
( sum(n0,n5) = sK2
| ~ spl3_16
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3343,f26]) ).
fof(f3343,plain,
( sK2 = sum(pred(n1),n5)
| ~ spl3_16
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3342,f368]) ).
fof(f368,plain,
n1 = sum(n15,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f3342,plain,
( sK2 = sum(pred(sum(n15,n7)),n5)
| ~ spl3_16
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3341,f10]) ).
fof(f3341,plain,
( sK2 = sum(pred(sum(n15,succ(n6))),n5)
| ~ spl3_16
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3340,f192]) ).
fof(f3340,plain,
( sK2 = sum(pred(sum(n15,succ(n6))),sum(n6,n20))
| ~ spl3_16
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3339,f25]) ).
fof(f3339,plain,
( sK2 = sum(pred(sum(n15,succ(n6))),sum(n6,pred(n0)))
| ~ spl3_16
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3338,f367]) ).
fof(f3338,plain,
( sK2 = sum(pred(sum(n15,succ(n6))),sum(n6,pred(sum(n15,n6))))
| ~ spl3_16
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3323,f784]) ).
fof(f3323,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_28 ),
inference(superposition,[],[f489,f854]) ).
fof(f3322,plain,
( ~ spl3_16
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f3321]) ).
fof(f3321,plain,
( $false
| ~ spl3_16
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f3320,f507]) ).
fof(f3320,plain,
( n17 = sK2
| ~ spl3_16
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3319,f143]) ).
fof(f3319,plain,
( sum(n4,n13) = sK2
| ~ spl3_16
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3318,f30]) ).
fof(f3318,plain,
( sK2 = sum(pred(n5),n13)
| ~ spl3_16
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3317,f372]) ).
fof(f3317,plain,
( sK2 = sum(pred(sum(n15,n11)),n13)
| ~ spl3_16
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3316,f14]) ).
fof(f3316,plain,
( sK2 = sum(pred(sum(n15,succ(n10))),n13)
| ~ spl3_16
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3315,f259]) ).
fof(f3315,plain,
( sK2 = sum(pred(sum(n15,succ(n10))),sum(n10,n3))
| ~ spl3_16
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3314,f29]) ).
fof(f3314,plain,
( sK2 = sum(pred(sum(n15,succ(n10))),sum(n10,pred(n4)))
| ~ spl3_16
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3313,f371]) ).
fof(f3313,plain,
( sK2 = sum(pred(sum(n15,succ(n10))),sum(n10,pred(sum(n15,n10))))
| ~ spl3_16
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3297,f784]) ).
fof(f3297,plain,
( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
| ~ spl3_32 ),
inference(superposition,[],[f489,f870]) ).
fof(f3296,plain,
( ~ spl3_16
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f3295]) ).
fof(f3295,plain,
( $false
| ~ spl3_16
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f3294,f501]) ).
fof(f3294,plain,
( n11 = sK2
| ~ spl3_16
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3293,f237]) ).
fof(f3293,plain,
( sum(n9,n2) = sK2
| ~ spl3_16
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3292,f35]) ).
fof(f3292,plain,
( sK2 = sum(pred(n10),n2)
| ~ spl3_16
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3291,f377]) ).
fof(f3291,plain,
( sK2 = sum(pred(sum(n15,n16)),n2)
| ~ spl3_16
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3290,f19]) ).
fof(f3290,plain,
( sK2 = sum(pred(sum(n15,succ(n15))),n2)
| ~ spl3_16
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3289,f369]) ).
fof(f3289,plain,
( sK2 = sum(pred(sum(n15,succ(n15))),sum(n15,n8))
| ~ spl3_16
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3288,f34]) ).
fof(f3288,plain,
( sK2 = sum(pred(sum(n15,succ(n15))),sum(n15,pred(n9)))
| ~ spl3_16
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3287,f376]) ).
fof(f3287,plain,
( sK2 = sum(pred(sum(n15,succ(n15))),sum(n15,pred(sum(n15,n15))))
| ~ spl3_16
| ~ spl3_37 ),
inference(forward_demodulation,[],[f3270,f784]) ).
fof(f3270,plain,
( sK2 = sum(pred(sum(sK0,succ(n15))),sum(n15,pred(sum(sK0,n15))))
| ~ spl3_37 ),
inference(superposition,[],[f489,f890]) ).
fof(f3269,plain,
( ~ spl3_16
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f3268]) ).
fof(f3268,plain,
( $false
| ~ spl3_16
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f3267,f492]) ).
fof(f3267,plain,
( n2 = sK2
| ~ spl3_16
| ~ spl3_34 ),
inference(forward_demodulation,[],[f3266,f189]) ).
fof(f3266,plain,
( sum(n6,n17) = sK2
| ~ spl3_16
| ~ spl3_34 ),
inference(forward_demodulation,[],[f3265,f32]) ).
fof(f3265,plain,
( sK2 = sum(pred(n7),n17)
| ~ spl3_16
| ~ spl3_34 ),
inference(forward_demodulation,[],[f3264,f374]) ).
fof(f3264,plain,
( sK2 = sum(pred(sum(n15,n13)),n17)
| ~ spl3_16
| ~ spl3_34 ),
inference(forward_demodulation,[],[f3263,f16]) ).
fof(f3263,plain,
( sK2 = sum(pred(sum(n15,succ(n12))),n17)
| ~ spl3_16
| ~ spl3_34 ),
inference(forward_demodulation,[],[f3262,f303]) ).
fof(f3262,plain,
( sK2 = sum(pred(sum(n15,succ(n12))),sum(n12,n5))
| ~ spl3_16
| ~ spl3_34 ),
inference(forward_demodulation,[],[f3261,f31]) ).
fof(f3261,plain,
( sK2 = sum(pred(sum(n15,succ(n12))),sum(n12,pred(n6)))
| ~ spl3_16
| ~ spl3_34 ),
inference(forward_demodulation,[],[f3260,f373]) ).
fof(f3260,plain,
( sK2 = sum(pred(sum(n15,succ(n12))),sum(n12,pred(sum(n15,n12))))
| ~ spl3_16
| ~ spl3_34 ),
inference(forward_demodulation,[],[f3244,f784]) ).
fof(f3244,plain,
( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
| ~ spl3_34 ),
inference(superposition,[],[f489,f878]) ).
fof(f3243,plain,
( ~ spl3_16
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f3242]) ).
fof(f3242,plain,
( $false
| ~ spl3_16
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f3241,f501]) ).
fof(f3241,plain,
( n11 = sK2
| ~ spl3_16
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3240,f97]) ).
fof(f3240,plain,
( sum(n2,n9) = sK2
| ~ spl3_16
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3239,f28]) ).
fof(f3239,plain,
( sK2 = sum(pred(n3),n9)
| ~ spl3_16
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3238,f370]) ).
fof(f3238,plain,
( sK2 = sum(pred(sum(n15,n9)),n9)
| ~ spl3_16
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3237,f12]) ).
fof(f3237,plain,
( sK2 = sum(pred(sum(n15,succ(n8))),n9)
| ~ spl3_16
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3236,f215]) ).
fof(f3236,plain,
( sK2 = sum(pred(sum(n15,succ(n8))),sum(n8,n1))
| ~ spl3_16
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3235,f27]) ).
fof(f3235,plain,
( sK2 = sum(pred(sum(n15,succ(n8))),sum(n8,pred(n2)))
| ~ spl3_16
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3234,f369]) ).
fof(f3234,plain,
( sK2 = sum(pred(sum(n15,succ(n8))),sum(n8,pred(sum(n15,n8))))
| ~ spl3_16
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3220,f784]) ).
fof(f3220,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_30 ),
inference(superposition,[],[f489,f862]) ).
fof(f3219,plain,
( ~ spl3_16
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f3218]) ).
fof(f3218,plain,
( $false
| ~ spl3_16
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f3217,f504]) ).
fof(f3217,plain,
( n14 = sK2
| ~ spl3_16
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3216,f421]) ).
fof(f3216,plain,
( sum(n17,n18) = sK2
| ~ spl3_16
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3215,f43]) ).
fof(f3215,plain,
( sK2 = sum(pred(n18),n18)
| ~ spl3_16
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3214,f364]) ).
fof(f3214,plain,
( sK2 = sum(pred(sum(n15,n3)),n18)
| ~ spl3_16
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3213,f6]) ).
fof(f3213,plain,
( sK2 = sum(pred(sum(n15,succ(n2))),n18)
| ~ spl3_16
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3212,f104]) ).
fof(f3212,plain,
( sK2 = sum(pred(sum(n15,succ(n2))),sum(n2,n16))
| ~ spl3_16
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3211,f42]) ).
fof(f3211,plain,
( sK2 = sum(pred(sum(n15,succ(n2))),sum(n2,pred(n17)))
| ~ spl3_16
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3210,f363]) ).
fof(f3210,plain,
( sK2 = sum(pred(sum(n15,succ(n2))),sum(n2,pred(sum(n15,n2))))
| ~ spl3_16
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3197,f784]) ).
fof(f3197,plain,
( sK2 = sum(pred(sum(sK0,succ(n2))),sum(n2,pred(sum(sK0,n2))))
| ~ spl3_24 ),
inference(superposition,[],[f489,f838]) ).
fof(f3196,plain,
( ~ spl3_16
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f3195]) ).
fof(f3195,plain,
( $false
| ~ spl3_16
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f3194,f498]) ).
fof(f3194,plain,
( n8 = sK2
| ~ spl3_16
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3193,f74]) ).
fof(f3193,plain,
( sum(n1,n7) = sK2
| ~ spl3_16
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3192,f27]) ).
fof(f3192,plain,
( sK2 = sum(pred(n2),n7)
| ~ spl3_16
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3191,f369]) ).
fof(f3191,plain,
( sK2 = sum(pred(sum(n15,n8)),n7)
| ~ spl3_16
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3190,f11]) ).
fof(f3190,plain,
( sK2 = sum(pred(sum(n15,succ(n7))),n7)
| ~ spl3_16
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3189,f193]) ).
fof(f3189,plain,
( sK2 = sum(pred(sum(n15,succ(n7))),sum(n7,n0))
| ~ spl3_16
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3188,f26]) ).
fof(f3188,plain,
( sK2 = sum(pred(sum(n15,succ(n7))),sum(n7,pred(n1)))
| ~ spl3_16
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3187,f368]) ).
fof(f3187,plain,
( sK2 = sum(pred(sum(n15,succ(n7))),sum(n7,pred(sum(n15,n7))))
| ~ spl3_16
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3173,f784]) ).
fof(f3173,plain,
( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
| ~ spl3_29 ),
inference(superposition,[],[f489,f858]) ).
fof(f3151,plain,
( ~ spl3_4
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f3150]) ).
fof(f3150,plain,
( $false
| ~ spl3_4
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f3149,f501]) ).
fof(f3149,plain,
( n11 = sK2
| ~ spl3_4
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3148,f318]) ).
fof(f3148,plain,
( sum(n12,n20) = sK2
| ~ spl3_4
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3147,f38]) ).
fof(f3147,plain,
( sK2 = sum(pred(n13),n20)
| ~ spl3_4
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3146,f119]) ).
fof(f3146,plain,
( sK2 = sum(pred(sum(n3,n10)),n20)
| ~ spl3_4
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3145,f13]) ).
fof(f13,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f3]) ).
fof(f3145,plain,
( sK2 = sum(pred(sum(n3,succ(n9))),n20)
| ~ spl3_4
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3144,f246]) ).
fof(f3144,plain,
( sK2 = sum(pred(sum(n3,succ(n9))),sum(n9,n11))
| ~ spl3_4
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3143,f37]) ).
fof(f3143,plain,
( sK2 = sum(pred(sum(n3,succ(n9))),sum(n9,pred(n12)))
| ~ spl3_4
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3142,f118]) ).
fof(f3142,plain,
( sK2 = sum(pred(sum(n3,succ(n9))),sum(n9,pred(sum(n3,n9))))
| ~ spl3_4
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3126,f866]) ).
fof(f866,plain,
( n9 = sK1
| ~ spl3_31 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f864,plain,
( spl3_31
<=> n9 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_31])]) ).
fof(f3126,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f489,f736]) ).
fof(f3125,plain,
( ~ spl3_12
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f3124]) ).
fof(f3124,plain,
( $false
| ~ spl3_12
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f3123,f496]) ).
fof(f3123,plain,
( n6 = sK2
| ~ spl3_12
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3122,f473]) ).
fof(f3122,plain,
( sum(n20,n7) = sK2
| ~ spl3_12
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3121,f25]) ).
fof(f3121,plain,
( sK2 = sum(pred(n0),n7)
| ~ spl3_12
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3120,f287]) ).
fof(f3120,plain,
( sK2 = sum(pred(sum(n11,n10)),n7)
| ~ spl3_12
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3119,f13]) ).
fof(f3119,plain,
( sK2 = sum(pred(sum(n11,succ(n9))),n7)
| ~ spl3_12
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3118,f254]) ).
fof(f3118,plain,
( sK2 = sum(pred(sum(n11,succ(n9))),sum(n9,n19))
| ~ spl3_12
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3117,f45]) ).
fof(f3117,plain,
( sK2 = sum(pred(sum(n11,succ(n9))),sum(n9,pred(n20)))
| ~ spl3_12
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3116,f286]) ).
fof(f3116,plain,
( sK2 = sum(pred(sum(n11,succ(n9))),sum(n9,pred(sum(n11,n9))))
| ~ spl3_12
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3099,f866]) ).
fof(f3099,plain,
( sK2 = sum(pred(sum(n11,succ(sK1))),sum(sK1,pred(sum(n11,sK1))))
| ~ spl3_12 ),
inference(superposition,[],[f489,f768]) ).
fof(f3098,plain,
( ~ spl3_6
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f3097]) ).
fof(f3097,plain,
( $false
| ~ spl3_6
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f3096,f505]) ).
fof(f3096,plain,
( n15 = sK2
| ~ spl3_6
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3095,f341]) ).
fof(f3095,plain,
( sum(n14,n1) = sK2
| ~ spl3_6
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3094,f40]) ).
fof(f3094,plain,
( sK2 = sum(pred(n15),n1)
| ~ spl3_6
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3093,f161]) ).
fof(f3093,plain,
( sK2 = sum(pred(sum(n5,n10)),n1)
| ~ spl3_6
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3092,f13]) ).
fof(f3092,plain,
( sK2 = sum(pred(sum(n5,succ(n9))),n1)
| ~ spl3_6
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3091,f248]) ).
fof(f3091,plain,
( sK2 = sum(pred(sum(n5,succ(n9))),sum(n9,n13))
| ~ spl3_6
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3090,f39]) ).
fof(f3090,plain,
( sK2 = sum(pred(sum(n5,succ(n9))),sum(n9,pred(n14)))
| ~ spl3_6
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3089,f160]) ).
fof(f3089,plain,
( sK2 = sum(pred(sum(n5,succ(n9))),sum(n9,pred(sum(n5,n9))))
| ~ spl3_6
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3073,f866]) ).
fof(f3073,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f489,f744]) ).
fof(f3072,plain,
( ~ spl3_11
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f3071]) ).
fof(f3071,plain,
( $false
| ~ spl3_11
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f3070,f494]) ).
fof(f3070,plain,
( n4 = sK2
| ~ spl3_11
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3069,f451]) ).
fof(f3069,plain,
( sum(n19,n6) = sK2
| ~ spl3_11
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3068,f45]) ).
fof(f3068,plain,
( sK2 = sum(pred(n20),n6)
| ~ spl3_11
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3067,f266]) ).
fof(f3067,plain,
( sK2 = sum(pred(sum(n10,n10)),n6)
| ~ spl3_11
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3066,f13]) ).
fof(f3066,plain,
( sK2 = sum(pred(sum(n10,succ(n9))),n6)
| ~ spl3_11
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3065,f253]) ).
fof(f3065,plain,
( sK2 = sum(pred(sum(n10,succ(n9))),sum(n9,n18))
| ~ spl3_11
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3064,f44]) ).
fof(f3064,plain,
( sK2 = sum(pred(sum(n10,succ(n9))),sum(n9,pred(n19)))
| ~ spl3_11
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3063,f265]) ).
fof(f3063,plain,
( sK2 = sum(pred(sum(n10,succ(n9))),sum(n9,pred(sum(n10,n9))))
| ~ spl3_11
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3046,f866]) ).
fof(f3046,plain,
( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
| ~ spl3_11 ),
inference(superposition,[],[f489,f764]) ).
fof(f3045,plain,
( ~ spl3_14
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f3044]) ).
fof(f3044,plain,
( $false
| ~ spl3_14
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f3043,f500]) ).
fof(f3043,plain,
( n10 = sK2
| ~ spl3_14
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3042,f76]) ).
fof(f3042,plain,
( sum(n1,n9) = sK2
| ~ spl3_14
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3041,f27]) ).
fof(f3041,plain,
( sK2 = sum(pred(n2),n9)
| ~ spl3_14
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3040,f329]) ).
fof(f3040,plain,
( sK2 = sum(pred(sum(n13,n10)),n9)
| ~ spl3_14
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3039,f13]) ).
fof(f3039,plain,
( sK2 = sum(pred(sum(n13,succ(n9))),n9)
| ~ spl3_14
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3038,f235]) ).
fof(f3038,plain,
( sK2 = sum(pred(sum(n13,succ(n9))),sum(n9,n0))
| ~ spl3_14
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3037,f26]) ).
fof(f3037,plain,
( sK2 = sum(pred(sum(n13,succ(n9))),sum(n9,pred(n1)))
| ~ spl3_14
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3036,f328]) ).
fof(f3036,plain,
( sK2 = sum(pred(sum(n13,succ(n9))),sum(n9,pred(sum(n13,n9))))
| ~ spl3_14
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3018,f866]) ).
fof(f3018,plain,
( sK2 = sum(pred(sum(n13,succ(sK1))),sum(sK1,pred(sum(n13,sK1))))
| ~ spl3_14 ),
inference(superposition,[],[f489,f776]) ).
fof(f3017,plain,
( ~ spl3_13
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f3016]) ).
fof(f3016,plain,
( $false
| ~ spl3_13
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f3015,f498]) ).
fof(f3015,plain,
( n8 = sK2
| ~ spl3_13
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3014,f54]) ).
fof(f3014,plain,
( sum(n0,n8) = sK2
| ~ spl3_13
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3013,f26]) ).
fof(f3013,plain,
( sK2 = sum(pred(n1),n8)
| ~ spl3_13
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3012,f308]) ).
fof(f3012,plain,
( sK2 = sum(pred(sum(n12,n10)),n8)
| ~ spl3_13
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3011,f13]) ).
fof(f3011,plain,
( sK2 = sum(pred(sum(n12,succ(n9))),n8)
| ~ spl3_13
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3010,f255]) ).
fof(f3010,plain,
( sK2 = sum(pred(sum(n12,succ(n9))),sum(n9,n20))
| ~ spl3_13
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3009,f25]) ).
fof(f3009,plain,
( sK2 = sum(pred(sum(n12,succ(n9))),sum(n9,pred(n0)))
| ~ spl3_13
| ~ spl3_31 ),
inference(forward_demodulation,[],[f3008,f307]) ).
fof(f3008,plain,
( sK2 = sum(pred(sum(n12,succ(n9))),sum(n9,pred(sum(n12,n9))))
| ~ spl3_13
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2990,f866]) ).
fof(f2990,plain,
( sK2 = sum(pred(sum(n12,succ(sK1))),sum(sK1,pred(sum(n12,sK1))))
| ~ spl3_13 ),
inference(superposition,[],[f489,f772]) ).
fof(f2989,plain,
( ~ spl3_16
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f2988]) ).
fof(f2988,plain,
( $false
| ~ spl3_16
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f2987,f504]) ).
fof(f2987,plain,
( n14 = sK2
| ~ spl3_16
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2986,f120]) ).
fof(f2986,plain,
( sum(n3,n11) = sK2
| ~ spl3_16
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2985,f29]) ).
fof(f2985,plain,
( sK2 = sum(pred(n4),n11)
| ~ spl3_16
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2984,f371]) ).
fof(f2984,plain,
( sK2 = sum(pred(sum(n15,n10)),n11)
| ~ spl3_16
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2983,f13]) ).
fof(f2983,plain,
( sK2 = sum(pred(sum(n15,succ(n9))),n11)
| ~ spl3_16
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2982,f237]) ).
fof(f2982,plain,
( sK2 = sum(pred(sum(n15,succ(n9))),sum(n9,n2))
| ~ spl3_16
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2981,f28]) ).
fof(f2981,plain,
( sK2 = sum(pred(sum(n15,succ(n9))),sum(n9,pred(n3)))
| ~ spl3_16
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2980,f370]) ).
fof(f2980,plain,
( sK2 = sum(pred(sum(n15,succ(n9))),sum(n9,pred(sum(n15,n9))))
| ~ spl3_16
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2961,f866]) ).
fof(f2961,plain,
( sK2 = sum(pred(sum(n15,succ(sK1))),sum(sK1,pred(sum(n15,sK1))))
| ~ spl3_16 ),
inference(superposition,[],[f489,f784]) ).
fof(f2960,plain,
( ~ spl3_3
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f2959]) ).
fof(f2959,plain,
( $false
| ~ spl3_3
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f2958,f499]) ).
fof(f2958,plain,
( n9 = sK2
| ~ spl3_3
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2957,f296]) ).
fof(f2957,plain,
( sum(n11,n19) = sK2
| ~ spl3_3
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2956,f37]) ).
fof(f2956,plain,
( sK2 = sum(pred(n12),n19)
| ~ spl3_3
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2955,f98]) ).
fof(f2955,plain,
( sK2 = sum(pred(sum(n2,n10)),n19)
| ~ spl3_3
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2954,f13]) ).
fof(f2954,plain,
( sK2 = sum(pred(sum(n2,succ(n9))),n19)
| ~ spl3_3
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2953,f245]) ).
fof(f2953,plain,
( sK2 = sum(pred(sum(n2,succ(n9))),sum(n9,n10))
| ~ spl3_3
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2952,f36]) ).
fof(f2952,plain,
( sK2 = sum(pred(sum(n2,succ(n9))),sum(n9,pred(n11)))
| ~ spl3_3
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2951,f97]) ).
fof(f2951,plain,
( sK2 = sum(pred(sum(n2,succ(n9))),sum(n9,pred(sum(n2,n9))))
| ~ spl3_3
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2933,f866]) ).
fof(f2933,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f489,f732]) ).
fof(f2932,plain,
( ~ spl3_8
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f2931]) ).
fof(f2931,plain,
( $false
| ~ spl3_8
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f2930,f509]) ).
fof(f2930,plain,
( n19 = sK2
| ~ spl3_8
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2929,f385]) ).
fof(f2929,plain,
( sum(n16,n3) = sK2
| ~ spl3_8
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2928,f42]) ).
fof(f2928,plain,
( sK2 = sum(pred(n17),n3)
| ~ spl3_8
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2927,f203]) ).
fof(f2927,plain,
( sK2 = sum(pred(sum(n7,n10)),n3)
| ~ spl3_8
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2926,f13]) ).
fof(f2926,plain,
( sK2 = sum(pred(sum(n7,succ(n9))),n3)
| ~ spl3_8
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2925,f250]) ).
fof(f2925,plain,
( sK2 = sum(pred(sum(n7,succ(n9))),sum(n9,n15))
| ~ spl3_8
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2924,f41]) ).
fof(f2924,plain,
( sK2 = sum(pred(sum(n7,succ(n9))),sum(n9,pred(n16)))
| ~ spl3_8
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2923,f202]) ).
fof(f2923,plain,
( sK2 = sum(pred(sum(n7,succ(n9))),sum(n9,pred(sum(n7,n9))))
| ~ spl3_8
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2904,f866]) ).
fof(f2904,plain,
( sK2 = sum(pred(sum(n7,succ(sK1))),sum(sK1,pred(sum(n7,sK1))))
| ~ spl3_8 ),
inference(superposition,[],[f489,f752]) ).
fof(f2903,plain,
( ~ spl3_5
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f2902]) ).
fof(f2902,plain,
( $false
| ~ spl3_5
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f2901,f503]) ).
fof(f2901,plain,
( n13 = sK2
| ~ spl3_5
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2900,f319]) ).
fof(f2900,plain,
( sum(n13,n0) = sK2
| ~ spl3_5
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2899,f39]) ).
fof(f2899,plain,
( sK2 = sum(pred(n14),n0)
| ~ spl3_5
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2898,f140]) ).
fof(f2898,plain,
( sK2 = sum(pred(sum(n4,n10)),n0)
| ~ spl3_5
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2897,f13]) ).
fof(f2897,plain,
( sK2 = sum(pred(sum(n4,succ(n9))),n0)
| ~ spl3_5
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2896,f247]) ).
fof(f2896,plain,
( sK2 = sum(pred(sum(n4,succ(n9))),sum(n9,n12))
| ~ spl3_5
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2895,f38]) ).
fof(f2895,plain,
( sK2 = sum(pred(sum(n4,succ(n9))),sum(n9,pred(n13)))
| ~ spl3_5
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2894,f139]) ).
fof(f2894,plain,
( sK2 = sum(pred(sum(n4,succ(n9))),sum(n9,pred(sum(n4,n9))))
| ~ spl3_5
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2875,f866]) ).
fof(f2875,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f489,f740]) ).
fof(f2874,plain,
( ~ spl3_20
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f2873]) ).
fof(f2873,plain,
( $false
| ~ spl3_20
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f2872,f491]) ).
fof(f2872,plain,
( n1 = sK2
| ~ spl3_20
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2871,f208]) ).
fof(f2871,plain,
( sum(n7,n15) = sK2
| ~ spl3_20
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2870,f33]) ).
fof(f2870,plain,
( sK2 = sum(pred(n8),n15)
| ~ spl3_20
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2869,f455]) ).
fof(f2869,plain,
( sK2 = sum(pred(sum(n19,n10)),n15)
| ~ spl3_20
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2868,f13]) ).
fof(f2868,plain,
( sK2 = sum(pred(sum(n19,succ(n9))),n15)
| ~ spl3_20
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2867,f241]) ).
fof(f2867,plain,
( sK2 = sum(pred(sum(n19,succ(n9))),sum(n9,n6))
| ~ spl3_20
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2866,f32]) ).
fof(f2866,plain,
( sK2 = sum(pred(sum(n19,succ(n9))),sum(n9,pred(n7)))
| ~ spl3_20
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2865,f454]) ).
fof(f2865,plain,
( sK2 = sum(pred(sum(n19,succ(n9))),sum(n9,pred(sum(n19,n9))))
| ~ spl3_20
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2845,f866]) ).
fof(f2845,plain,
( sK2 = sum(pred(sum(n19,succ(sK1))),sum(sK1,pred(sum(n19,sK1))))
| ~ spl3_20 ),
inference(superposition,[],[f489,f800]) ).
fof(f2844,plain,
( ~ spl3_10
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f2843]) ).
fof(f2843,plain,
( $false
| ~ spl3_10
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f2842,f492]) ).
fof(f2842,plain,
( n2 = sK2
| ~ spl3_10
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2841,f429]) ).
fof(f2841,plain,
( sum(n18,n5) = sK2
| ~ spl3_10
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2840,f44]) ).
fof(f2840,plain,
( sK2 = sum(pred(n19),n5)
| ~ spl3_10
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2839,f245]) ).
fof(f2839,plain,
( sK2 = sum(pred(sum(n9,n10)),n5)
| ~ spl3_10
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2838,f13]) ).
fof(f2838,plain,
( sK2 = sum(pred(sum(n9,succ(n9))),n5)
| ~ spl3_10
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2837,f252]) ).
fof(f2837,plain,
( sK2 = sum(pred(sum(n9,succ(n9))),sum(n9,n17))
| ~ spl3_10
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2836,f43]) ).
fof(f2836,plain,
( sK2 = sum(pred(sum(n9,succ(n9))),sum(n9,pred(n18)))
| ~ spl3_10
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2835,f244]) ).
fof(f2835,plain,
( sK2 = sum(pred(sum(n9,succ(n9))),sum(n9,pred(sum(n9,n9))))
| ~ spl3_10
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2816,f866]) ).
fof(f2816,plain,
( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
| ~ spl3_10 ),
inference(superposition,[],[f489,f760]) ).
fof(f2815,plain,
( ~ spl3_18
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f2814]) ).
fof(f2814,plain,
( $false
| ~ spl3_18
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f2813,f508]) ).
fof(f2813,plain,
( n18 = sK2
| ~ spl3_18
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2812,f164]) ).
fof(f2812,plain,
( sum(n5,n13) = sK2
| ~ spl3_18
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2811,f31]) ).
fof(f2811,plain,
( sK2 = sum(pred(n6),n13)
| ~ spl3_18
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2810,f413]) ).
fof(f2810,plain,
( sK2 = sum(pred(sum(n17,n10)),n13)
| ~ spl3_18
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2809,f13]) ).
fof(f2809,plain,
( sK2 = sum(pred(sum(n17,succ(n9))),n13)
| ~ spl3_18
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2808,f239]) ).
fof(f2808,plain,
( sK2 = sum(pred(sum(n17,succ(n9))),sum(n9,n4))
| ~ spl3_18
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2807,f30]) ).
fof(f2807,plain,
( sK2 = sum(pred(sum(n17,succ(n9))),sum(n9,pred(n5)))
| ~ spl3_18
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2806,f412]) ).
fof(f2806,plain,
( sK2 = sum(pred(sum(n17,succ(n9))),sum(n9,pred(sum(n17,n9))))
| ~ spl3_18
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2786,f866]) ).
fof(f2786,plain,
( sK2 = sum(pred(sum(n17,succ(sK1))),sum(sK1,pred(sum(n17,sK1))))
| ~ spl3_18 ),
inference(superposition,[],[f489,f792]) ).
fof(f2785,plain,
( ~ spl3_9
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f2784]) ).
fof(f2784,plain,
( $false
| ~ spl3_9
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f2783,f490]) ).
fof(f2783,plain,
( n0 = sK2
| ~ spl3_9
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2782,f407]) ).
fof(f2782,plain,
( sum(n17,n4) = sK2
| ~ spl3_9
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2781,f43]) ).
fof(f2781,plain,
( sK2 = sum(pred(n18),n4)
| ~ spl3_9
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2780,f224]) ).
fof(f2780,plain,
( sK2 = sum(pred(sum(n8,n10)),n4)
| ~ spl3_9
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2779,f13]) ).
fof(f2779,plain,
( sK2 = sum(pred(sum(n8,succ(n9))),n4)
| ~ spl3_9
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2778,f251]) ).
fof(f2778,plain,
( sK2 = sum(pred(sum(n8,succ(n9))),sum(n9,n16))
| ~ spl3_9
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2777,f42]) ).
fof(f2777,plain,
( sK2 = sum(pred(sum(n8,succ(n9))),sum(n9,pred(n17)))
| ~ spl3_9
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2776,f223]) ).
fof(f2776,plain,
( sK2 = sum(pred(sum(n8,succ(n9))),sum(n9,pred(sum(n8,n9))))
| ~ spl3_9
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2756,f866]) ).
fof(f2756,plain,
( sK2 = sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1))))
| ~ spl3_9 ),
inference(superposition,[],[f489,f756]) ).
fof(f2755,plain,
( ~ spl3_1
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f2754]) ).
fof(f2754,plain,
( $false
| ~ spl3_1
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f2753,f495]) ).
fof(f2753,plain,
( n5 = sK2
| ~ spl3_1
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2752,f252]) ).
fof(f2752,plain,
( sum(n9,n17) = sK2
| ~ spl3_1
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2751,f35]) ).
fof(f2751,plain,
( sK2 = sum(pred(n10),n17)
| ~ spl3_1
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2750,f56]) ).
fof(f2750,plain,
( sK2 = sum(pred(sum(n0,n10)),n17)
| ~ spl3_1
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2749,f13]) ).
fof(f2749,plain,
( sK2 = sum(pred(sum(n0,succ(n9))),n17)
| ~ spl3_1
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2748,f243]) ).
fof(f2748,plain,
( sK2 = sum(pred(sum(n0,succ(n9))),sum(n9,n8))
| ~ spl3_1
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2747,f34]) ).
fof(f2747,plain,
( sK2 = sum(pred(sum(n0,succ(n9))),sum(n9,pred(n9)))
| ~ spl3_1
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2746,f55]) ).
fof(f2746,plain,
( sK2 = sum(pred(sum(n0,succ(n9))),sum(n9,pred(sum(n0,n9))))
| ~ spl3_1
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2726,f866]) ).
fof(f2726,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f489,f724]) ).
fof(f2725,plain,
( ~ spl3_21
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f2724]) ).
fof(f2724,plain,
( $false
| ~ spl3_21
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f2723,f493]) ).
fof(f2723,plain,
( n3 = sK2
| ~ spl3_21
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2722,f230]) ).
fof(f2722,plain,
( sum(n8,n16) = sK2
| ~ spl3_21
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2721,f34]) ).
fof(f2721,plain,
( sK2 = sum(pred(n9),n16)
| ~ spl3_21
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2720,f476]) ).
fof(f2720,plain,
( sK2 = sum(pred(sum(n20,n10)),n16)
| ~ spl3_21
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2719,f13]) ).
fof(f2719,plain,
( sK2 = sum(pred(sum(n20,succ(n9))),n16)
| ~ spl3_21
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2718,f242]) ).
fof(f2718,plain,
( sK2 = sum(pred(sum(n20,succ(n9))),sum(n9,n7))
| ~ spl3_21
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2717,f33]) ).
fof(f2717,plain,
( sK2 = sum(pred(sum(n20,succ(n9))),sum(n9,pred(n8)))
| ~ spl3_21
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2716,f475]) ).
fof(f2716,plain,
( sK2 = sum(pred(sum(n20,succ(n9))),sum(n9,pred(sum(n20,n9))))
| ~ spl3_21
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2695,f866]) ).
fof(f2695,plain,
( sK2 = sum(pred(sum(n20,succ(sK1))),sum(sK1,pred(sum(n20,sK1))))
| ~ spl3_21 ),
inference(superposition,[],[f489,f804]) ).
fof(f2694,plain,
( ~ spl3_17
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f2693]) ).
fof(f2693,plain,
( $false
| ~ spl3_17
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f2692,f506]) ).
fof(f2692,plain,
( n16 = sK2
| ~ spl3_17
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2691,f142]) ).
fof(f2691,plain,
( sum(n4,n12) = sK2
| ~ spl3_17
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2690,f30]) ).
fof(f2690,plain,
( sK2 = sum(pred(n5),n12)
| ~ spl3_17
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2689,f392]) ).
fof(f2689,plain,
( sK2 = sum(pred(sum(n16,n10)),n12)
| ~ spl3_17
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2688,f13]) ).
fof(f2688,plain,
( sK2 = sum(pred(sum(n16,succ(n9))),n12)
| ~ spl3_17
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2687,f238]) ).
fof(f2687,plain,
( sK2 = sum(pred(sum(n16,succ(n9))),sum(n9,n3))
| ~ spl3_17
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2686,f29]) ).
fof(f2686,plain,
( sK2 = sum(pred(sum(n16,succ(n9))),sum(n9,pred(n4)))
| ~ spl3_17
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2685,f391]) ).
fof(f2685,plain,
( sK2 = sum(pred(sum(n16,succ(n9))),sum(n9,pred(sum(n16,n9))))
| ~ spl3_17
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2666,f866]) ).
fof(f2666,plain,
( sK2 = sum(pred(sum(n16,succ(sK1))),sum(sK1,pred(sum(n16,sK1))))
| ~ spl3_17 ),
inference(superposition,[],[f489,f788]) ).
fof(f2665,plain,
( ~ spl3_19
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f2664]) ).
fof(f2664,plain,
( $false
| ~ spl3_19
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f2663,f510]) ).
fof(f2663,plain,
( n20 = sK2
| ~ spl3_19
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2662,f186]) ).
fof(f2662,plain,
( sum(n6,n14) = sK2
| ~ spl3_19
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2661,f32]) ).
fof(f2661,plain,
( sK2 = sum(pred(n7),n14)
| ~ spl3_19
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2660,f434]) ).
fof(f2660,plain,
( sK2 = sum(pred(sum(n18,n10)),n14)
| ~ spl3_19
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2659,f13]) ).
fof(f2659,plain,
( sK2 = sum(pred(sum(n18,succ(n9))),n14)
| ~ spl3_19
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2658,f240]) ).
fof(f2658,plain,
( sK2 = sum(pred(sum(n18,succ(n9))),sum(n9,n5))
| ~ spl3_19
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2657,f31]) ).
fof(f2657,plain,
( sK2 = sum(pred(sum(n18,succ(n9))),sum(n9,pred(n6)))
| ~ spl3_19
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2656,f433]) ).
fof(f2656,plain,
( sK2 = sum(pred(sum(n18,succ(n9))),sum(n9,pred(sum(n18,n9))))
| ~ spl3_19
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2636,f866]) ).
fof(f2636,plain,
( sK2 = sum(pred(sum(n18,succ(sK1))),sum(sK1,pred(sum(n18,sK1))))
| ~ spl3_19 ),
inference(superposition,[],[f489,f796]) ).
fof(f2634,plain,
( ~ spl3_7
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f2633]) ).
fof(f2633,plain,
( $false
| ~ spl3_7
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f2632,f507]) ).
fof(f2632,plain,
( n17 = sK2
| ~ spl3_7
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2631,f363]) ).
fof(f2631,plain,
( sum(n15,n2) = sK2
| ~ spl3_7
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2630,f41]) ).
fof(f2630,plain,
( sK2 = sum(pred(n16),n2)
| ~ spl3_7
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2629,f182]) ).
fof(f2629,plain,
( sK2 = sum(pred(sum(n6,n10)),n2)
| ~ spl3_7
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2628,f13]) ).
fof(f2628,plain,
( sK2 = sum(pred(sum(n6,succ(n9))),n2)
| ~ spl3_7
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2627,f249]) ).
fof(f2627,plain,
( sK2 = sum(pred(sum(n6,succ(n9))),sum(n9,n14))
| ~ spl3_7
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2626,f40]) ).
fof(f2626,plain,
( sK2 = sum(pred(sum(n6,succ(n9))),sum(n9,pred(n15)))
| ~ spl3_7
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2625,f181]) ).
fof(f2625,plain,
( sK2 = sum(pred(sum(n6,succ(n9))),sum(n9,pred(sum(n6,n9))))
| ~ spl3_7
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2610,f748]) ).
fof(f2610,plain,
( sK2 = sum(pred(sum(sK0,succ(n9))),sum(n9,pred(sum(sK0,n9))))
| ~ spl3_31 ),
inference(superposition,[],[f489,f866]) ).
fof(f2588,plain,
( ~ spl3_15
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f2587]) ).
fof(f2587,plain,
( $false
| ~ spl3_15
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f2586,f505]) ).
fof(f2586,plain,
( n15 = sK2
| ~ spl3_15
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2585,f422]) ).
fof(f2585,plain,
( sum(n17,n19) = sK2
| ~ spl3_15
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2584,f43]) ).
fof(f2584,plain,
( sK2 = sum(pred(n18),n19)
| ~ spl3_15
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2583,f344]) ).
fof(f2583,plain,
( sK2 = sum(pred(sum(n14,n4)),n19)
| ~ spl3_15
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2582,f7]) ).
fof(f2582,plain,
( sK2 = sum(pred(sum(n14,succ(n3))),n19)
| ~ spl3_15
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2581,f125]) ).
fof(f2581,plain,
( sK2 = sum(pred(sum(n14,succ(n3))),sum(n3,n16))
| ~ spl3_15
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2580,f42]) ).
fof(f2580,plain,
( sK2 = sum(pred(sum(n14,succ(n3))),sum(n3,pred(n17)))
| ~ spl3_15
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2579,f343]) ).
fof(f2579,plain,
( sK2 = sum(pred(sum(n14,succ(n3))),sum(n3,pred(sum(n14,n3))))
| ~ spl3_15
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2564,f780]) ).
fof(f780,plain,
( n14 = sK0
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f778,plain,
( spl3_15
<=> n14 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f2564,plain,
( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
| ~ spl3_25 ),
inference(superposition,[],[f489,f842]) ).
fof(f2563,plain,
( ~ spl3_15
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f2562]) ).
fof(f2562,plain,
( $false
| ~ spl3_15
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f2561,f505]) ).
fof(f2561,plain,
( n15 = sK2
| ~ spl3_15
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2560,f121]) ).
fof(f2560,plain,
( sum(n3,n12) = sK2
| ~ spl3_15
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2559,f29]) ).
fof(f2559,plain,
( sK2 = sum(pred(n4),n12)
| ~ spl3_15
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2558,f351]) ).
fof(f2558,plain,
( sK2 = sum(pred(sum(n14,n11)),n12)
| ~ spl3_15
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2557,f14]) ).
fof(f2557,plain,
( sK2 = sum(pred(sum(n14,succ(n10))),n12)
| ~ spl3_15
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2556,f258]) ).
fof(f2556,plain,
( sK2 = sum(pred(sum(n14,succ(n10))),sum(n10,n2))
| ~ spl3_15
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2555,f28]) ).
fof(f2555,plain,
( sK2 = sum(pred(sum(n14,succ(n10))),sum(n10,pred(n3)))
| ~ spl3_15
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2554,f350]) ).
fof(f2554,plain,
( sK2 = sum(pred(sum(n14,succ(n10))),sum(n10,pred(sum(n14,n10))))
| ~ spl3_15
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2538,f780]) ).
fof(f2538,plain,
( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
| ~ spl3_32 ),
inference(superposition,[],[f489,f870]) ).
fof(f2537,plain,
( ~ spl3_15
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f2536]) ).
fof(f2536,plain,
( $false
| ~ spl3_15
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f2535,f502]) ).
fof(f2535,plain,
( n12 = sK2
| ~ spl3_15
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2534,f399]) ).
fof(f2534,plain,
( sum(n16,n17) = sK2
| ~ spl3_15
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2533,f42]) ).
fof(f2533,plain,
( sK2 = sum(pred(n17),n17)
| ~ spl3_15
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2532,f343]) ).
fof(f2532,plain,
( sK2 = sum(pred(sum(n14,n3)),n17)
| ~ spl3_15
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2531,f6]) ).
fof(f2531,plain,
( sK2 = sum(pred(sum(n14,succ(n2))),n17)
| ~ spl3_15
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2530,f103]) ).
fof(f2530,plain,
( sK2 = sum(pred(sum(n14,succ(n2))),sum(n2,n15))
| ~ spl3_15
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2529,f41]) ).
fof(f2529,plain,
( sK2 = sum(pred(sum(n14,succ(n2))),sum(n2,pred(n16)))
| ~ spl3_15
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2528,f342]) ).
fof(f2528,plain,
( sK2 = sum(pred(sum(n14,succ(n2))),sum(n2,pred(sum(n14,n2))))
| ~ spl3_15
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2512,f780]) ).
fof(f2512,plain,
( sK2 = sum(pred(sum(sK0,succ(n2))),sum(n2,pred(sum(sK0,n2))))
| ~ spl3_24 ),
inference(superposition,[],[f489,f838]) ).
fof(f2511,plain,
( ~ spl3_15
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f2510]) ).
fof(f2510,plain,
( $false
| ~ spl3_15
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f2509,f499]) ).
fof(f2509,plain,
( n9 = sK2
| ~ spl3_15
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2508,f376]) ).
fof(f2508,plain,
( sum(n15,n15) = sK2
| ~ spl3_15
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2507,f41]) ).
fof(f2507,plain,
( sK2 = sum(pred(n16),n15)
| ~ spl3_15
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2506,f342]) ).
fof(f2506,plain,
( sK2 = sum(pred(sum(n14,n2)),n15)
| ~ spl3_15
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2505,f5]) ).
fof(f2505,plain,
( sK2 = sum(pred(sum(n14,succ(n1))),n15)
| ~ spl3_15
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2504,f81]) ).
fof(f2504,plain,
( sK2 = sum(pred(sum(n14,succ(n1))),sum(n1,n14))
| ~ spl3_15
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2503,f40]) ).
fof(f2503,plain,
( sK2 = sum(pred(sum(n14,succ(n1))),sum(n1,pred(n15)))
| ~ spl3_15
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2502,f341]) ).
fof(f2502,plain,
( sK2 = sum(pred(sum(n14,succ(n1))),sum(n1,pred(sum(n14,n1))))
| ~ spl3_15
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2486,f780]) ).
fof(f2486,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_23 ),
inference(superposition,[],[f489,f834]) ).
fof(f2485,plain,
( ~ spl3_15
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f2484]) ).
fof(f2484,plain,
( $false
| ~ spl3_15
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f2483,f499]) ).
fof(f2483,plain,
( n9 = sK2
| ~ spl3_15
| ~ spl3_37 ),
inference(forward_demodulation,[],[f2482,f215]) ).
fof(f2482,plain,
( sum(n8,n1) = sK2
| ~ spl3_15
| ~ spl3_37 ),
inference(forward_demodulation,[],[f2481,f34]) ).
fof(f2481,plain,
( sK2 = sum(pred(n9),n1)
| ~ spl3_15
| ~ spl3_37 ),
inference(forward_demodulation,[],[f2480,f356]) ).
fof(f2480,plain,
( sK2 = sum(pred(sum(n14,n16)),n1)
| ~ spl3_15
| ~ spl3_37 ),
inference(forward_demodulation,[],[f2479,f19]) ).
fof(f2479,plain,
( sK2 = sum(pred(sum(n14,succ(n15))),n1)
| ~ spl3_15
| ~ spl3_37 ),
inference(forward_demodulation,[],[f2478,f368]) ).
fof(f2478,plain,
( sK2 = sum(pred(sum(n14,succ(n15))),sum(n15,n7))
| ~ spl3_15
| ~ spl3_37 ),
inference(forward_demodulation,[],[f2477,f33]) ).
fof(f2477,plain,
( sK2 = sum(pred(sum(n14,succ(n15))),sum(n15,pred(n8)))
| ~ spl3_15
| ~ spl3_37 ),
inference(forward_demodulation,[],[f2476,f355]) ).
fof(f2476,plain,
( sK2 = sum(pred(sum(n14,succ(n15))),sum(n15,pred(sum(n14,n15))))
| ~ spl3_15
| ~ spl3_37 ),
inference(forward_demodulation,[],[f2459,f780]) ).
fof(f2459,plain,
( sK2 = sum(pred(sum(sK0,succ(n15))),sum(n15,pred(sum(sK0,n15))))
| ~ spl3_37 ),
inference(superposition,[],[f489,f890]) ).
fof(f2458,plain,
( ~ spl3_15
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f2457]) ).
fof(f2457,plain,
( $false
| ~ spl3_15
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f2456,f508]) ).
fof(f2456,plain,
( n18 = sK2
| ~ spl3_15
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2455,f144]) ).
fof(f2455,plain,
( sum(n4,n14) = sK2
| ~ spl3_15
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2454,f30]) ).
fof(f2454,plain,
( sK2 = sum(pred(n5),n14)
| ~ spl3_15
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2453,f352]) ).
fof(f2453,plain,
( sK2 = sum(pred(sum(n14,n12)),n14)
| ~ spl3_15
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2452,f15]) ).
fof(f2452,plain,
( sK2 = sum(pred(sum(n14,succ(n11))),n14)
| ~ spl3_15
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2451,f280]) ).
fof(f2451,plain,
( sK2 = sum(pred(sum(n14,succ(n11))),sum(n11,n3))
| ~ spl3_15
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2450,f29]) ).
fof(f2450,plain,
( sK2 = sum(pred(sum(n14,succ(n11))),sum(n11,pred(n4)))
| ~ spl3_15
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2449,f351]) ).
fof(f2449,plain,
( sK2 = sum(pred(sum(n14,succ(n11))),sum(n11,pred(sum(n14,n11))))
| ~ spl3_15
| ~ spl3_33 ),
inference(forward_demodulation,[],[f2432,f780]) ).
fof(f2432,plain,
( sK2 = sum(pred(sum(sK0,succ(n11))),sum(n11,pred(sum(sK0,n11))))
| ~ spl3_33 ),
inference(superposition,[],[f489,f874]) ).
fof(f2431,plain,
( ~ spl3_15
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f2430]) ).
fof(f2430,plain,
( $false
| ~ spl3_15
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f2429,f496]) ).
fof(f2429,plain,
( n6 = sK2
| ~ spl3_15
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2428,f353]) ).
fof(f2428,plain,
( sum(n14,n13) = sK2
| ~ spl3_15
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2427,f40]) ).
fof(f2427,plain,
( sK2 = sum(pred(n15),n13)
| ~ spl3_15
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2426,f341]) ).
fof(f2426,plain,
( sK2 = sum(pred(sum(n14,n1)),n13)
| ~ spl3_15
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2425,f4]) ).
fof(f2425,plain,
( sK2 = sum(pred(sum(n14,succ(n0))),n13)
| ~ spl3_15
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2424,f59]) ).
fof(f2424,plain,
( sK2 = sum(pred(sum(n14,succ(n0))),sum(n0,n13))
| ~ spl3_15
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2423,f39]) ).
fof(f2423,plain,
( sK2 = sum(pred(sum(n14,succ(n0))),sum(n0,pred(n14)))
| ~ spl3_15
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2422,f340]) ).
fof(f2422,plain,
( sK2 = sum(pred(sum(n14,succ(n0))),sum(n0,pred(sum(n14,n0))))
| ~ spl3_15
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2406,f780]) ).
fof(f2406,plain,
( sK2 = sum(pred(sum(sK0,succ(n0))),sum(n0,pred(sum(sK0,n0))))
| ~ spl3_22 ),
inference(superposition,[],[f489,f830]) ).
fof(f2405,plain,
( ~ spl3_15
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f2404]) ).
fof(f2404,plain,
( $false
| ~ spl3_15
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f2403,f490]) ).
fof(f2403,plain,
( n0 = sK2
| ~ spl3_15
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2402,f447]) ).
fof(f2402,plain,
( sum(n19,n2) = sK2
| ~ spl3_15
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2401,f45]) ).
fof(f2401,plain,
( sK2 = sum(pred(n20),n2)
| ~ spl3_15
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2400,f346]) ).
fof(f2400,plain,
( sK2 = sum(pred(sum(n14,n6)),n2)
| ~ spl3_15
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2399,f9]) ).
fof(f2399,plain,
( sK2 = sum(pred(sum(n14,succ(n5))),n2)
| ~ spl3_15
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2398,f169]) ).
fof(f2398,plain,
( sK2 = sum(pred(sum(n14,succ(n5))),sum(n5,n18))
| ~ spl3_15
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2397,f44]) ).
fof(f2397,plain,
( sK2 = sum(pred(sum(n14,succ(n5))),sum(n5,pred(n19)))
| ~ spl3_15
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2396,f345]) ).
fof(f2396,plain,
( sK2 = sum(pred(sum(n14,succ(n5))),sum(n5,pred(sum(n14,n5))))
| ~ spl3_15
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2379,f780]) ).
fof(f2379,plain,
( sK2 = sum(pred(sum(sK0,succ(n5))),sum(n5,pred(sum(sK0,n5))))
| ~ spl3_27 ),
inference(superposition,[],[f489,f850]) ).
fof(f2378,plain,
( ~ spl3_15
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f2377]) ).
fof(f2377,plain,
( $false
| ~ spl3_15
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f2376,f502]) ).
fof(f2376,plain,
( n12 = sK2
| ~ spl3_15
| ~ spl3_38 ),
inference(forward_demodulation,[],[f2375,f238]) ).
fof(f2375,plain,
( sum(n9,n3) = sK2
| ~ spl3_15
| ~ spl3_38 ),
inference(forward_demodulation,[],[f2374,f35]) ).
fof(f2374,plain,
( sK2 = sum(pred(n10),n3)
| ~ spl3_15
| ~ spl3_38 ),
inference(forward_demodulation,[],[f2373,f357]) ).
fof(f2373,plain,
( sK2 = sum(pred(sum(n14,n17)),n3)
| ~ spl3_15
| ~ spl3_38 ),
inference(forward_demodulation,[],[f2372,f20]) ).
fof(f2372,plain,
( sK2 = sum(pred(sum(n14,succ(n16))),n3)
| ~ spl3_15
| ~ spl3_38 ),
inference(forward_demodulation,[],[f2371,f390]) ).
fof(f2371,plain,
( sK2 = sum(pred(sum(n14,succ(n16))),sum(n16,n8))
| ~ spl3_15
| ~ spl3_38 ),
inference(forward_demodulation,[],[f2370,f34]) ).
fof(f2370,plain,
( sK2 = sum(pred(sum(n14,succ(n16))),sum(n16,pred(n9)))
| ~ spl3_15
| ~ spl3_38 ),
inference(forward_demodulation,[],[f2369,f356]) ).
fof(f2369,plain,
( sK2 = sum(pred(sum(n14,succ(n16))),sum(n16,pred(sum(n14,n16))))
| ~ spl3_15
| ~ spl3_38 ),
inference(forward_demodulation,[],[f2351,f780]) ).
fof(f2351,plain,
( sK2 = sum(pred(sum(sK0,succ(n16))),sum(n16,pred(sum(sK0,n16))))
| ~ spl3_38 ),
inference(superposition,[],[f489,f894]) ).
fof(f2350,plain,
( ~ spl3_15
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f2349]) ).
fof(f2349,plain,
( $false
| ~ spl3_15
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f2348,f508]) ).
fof(f2348,plain,
( n18 = sK2
| ~ spl3_15
| ~ spl3_40 ),
inference(forward_demodulation,[],[f2347,f284]) ).
fof(f2347,plain,
( sum(n11,n7) = sK2
| ~ spl3_15
| ~ spl3_40 ),
inference(forward_demodulation,[],[f2346,f37]) ).
fof(f2346,plain,
( sK2 = sum(pred(n12),n7)
| ~ spl3_15
| ~ spl3_40 ),
inference(forward_demodulation,[],[f2345,f359]) ).
fof(f2345,plain,
( sK2 = sum(pred(sum(n14,n19)),n7)
| ~ spl3_15
| ~ spl3_40 ),
inference(forward_demodulation,[],[f2344,f22]) ).
fof(f2344,plain,
( sK2 = sum(pred(sum(n14,succ(n18))),n7)
| ~ spl3_15
| ~ spl3_40 ),
inference(forward_demodulation,[],[f2343,f434]) ).
fof(f2343,plain,
( sK2 = sum(pred(sum(n14,succ(n18))),sum(n18,n10))
| ~ spl3_15
| ~ spl3_40 ),
inference(forward_demodulation,[],[f2342,f36]) ).
fof(f2342,plain,
( sK2 = sum(pred(sum(n14,succ(n18))),sum(n18,pred(n11)))
| ~ spl3_15
| ~ spl3_40 ),
inference(forward_demodulation,[],[f2341,f358]) ).
fof(f2341,plain,
( sK2 = sum(pred(sum(n14,succ(n18))),sum(n18,pred(sum(n14,n18))))
| ~ spl3_15
| ~ spl3_40 ),
inference(forward_demodulation,[],[f2322,f780]) ).
fof(f2322,plain,
( sK2 = sum(pred(sum(sK0,succ(n18))),sum(n18,pred(sum(sK0,n18))))
| ~ spl3_40 ),
inference(superposition,[],[f489,f902]) ).
fof(f2321,plain,
( ~ spl3_15
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f2320]) ).
fof(f2320,plain,
( $false
| ~ spl3_15
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f2319,f493]) ).
fof(f2319,plain,
( n3 = sK2
| ~ spl3_15
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2318,f470]) ).
fof(f2318,plain,
( sum(n20,n4) = sK2
| ~ spl3_15
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2317,f25]) ).
fof(f2317,plain,
( sK2 = sum(pred(n0),n4)
| ~ spl3_15
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2316,f347]) ).
fof(f2316,plain,
( sK2 = sum(pred(sum(n14,n7)),n4)
| ~ spl3_15
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2315,f10]) ).
fof(f2315,plain,
( sK2 = sum(pred(sum(n14,succ(n6))),n4)
| ~ spl3_15
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2314,f191]) ).
fof(f2314,plain,
( sK2 = sum(pred(sum(n14,succ(n6))),sum(n6,n19))
| ~ spl3_15
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2313,f45]) ).
fof(f2313,plain,
( sK2 = sum(pred(sum(n14,succ(n6))),sum(n6,pred(n20)))
| ~ spl3_15
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2312,f346]) ).
fof(f2312,plain,
( sK2 = sum(pred(sum(n14,succ(n6))),sum(n6,pred(sum(n14,n6))))
| ~ spl3_15
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2294,f780]) ).
fof(f2294,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_28 ),
inference(superposition,[],[f489,f854]) ).
fof(f2293,plain,
( ~ spl3_15
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f2292]) ).
fof(f2292,plain,
( $false
| ~ spl3_15
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f2291,f496]) ).
fof(f2291,plain,
( n6 = sK2
| ~ spl3_15
| ~ spl3_36 ),
inference(forward_demodulation,[],[f2290,f213]) ).
fof(f2290,plain,
( sum(n7,n20) = sK2
| ~ spl3_15
| ~ spl3_36 ),
inference(forward_demodulation,[],[f2289,f33]) ).
fof(f2289,plain,
( sK2 = sum(pred(n8),n20)
| ~ spl3_15
| ~ spl3_36 ),
inference(forward_demodulation,[],[f2288,f355]) ).
fof(f2288,plain,
( sK2 = sum(pred(sum(n14,n15)),n20)
| ~ spl3_15
| ~ spl3_36 ),
inference(forward_demodulation,[],[f2287,f18]) ).
fof(f2287,plain,
( sK2 = sum(pred(sum(n14,succ(n14))),n20)
| ~ spl3_15
| ~ spl3_36 ),
inference(forward_demodulation,[],[f2286,f346]) ).
fof(f2286,plain,
( sK2 = sum(pred(sum(n14,succ(n14))),sum(n14,n6))
| ~ spl3_15
| ~ spl3_36 ),
inference(forward_demodulation,[],[f2285,f32]) ).
fof(f2285,plain,
( sK2 = sum(pred(sum(n14,succ(n14))),sum(n14,pred(n7)))
| ~ spl3_15
| ~ spl3_36 ),
inference(forward_demodulation,[],[f2284,f354]) ).
fof(f2284,plain,
( sK2 = sum(pred(sum(n14,succ(n14))),sum(n14,pred(sum(n14,n14))))
| ~ spl3_15
| ~ spl3_36 ),
inference(forward_demodulation,[],[f2265,f780]) ).
fof(f2265,plain,
( sK2 = sum(pred(sum(sK0,succ(n14))),sum(n14,pred(sum(sK0,n14))))
| ~ spl3_36 ),
inference(superposition,[],[f489,f886]) ).
fof(f2264,plain,
( ~ spl3_15
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f2263]) ).
fof(f2263,plain,
( $false
| ~ spl3_15
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f2262,f502]) ).
fof(f2262,plain,
( n12 = sK2
| ~ spl3_15
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2261,f98]) ).
fof(f2261,plain,
( sum(n2,n10) = sK2
| ~ spl3_15
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2260,f28]) ).
fof(f2260,plain,
( sK2 = sum(pred(n3),n10)
| ~ spl3_15
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2259,f350]) ).
fof(f2259,plain,
( sK2 = sum(pred(sum(n14,n10)),n10)
| ~ spl3_15
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2258,f13]) ).
fof(f2258,plain,
( sK2 = sum(pred(sum(n14,succ(n9))),n10)
| ~ spl3_15
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2257,f236]) ).
fof(f2257,plain,
( sK2 = sum(pred(sum(n14,succ(n9))),sum(n9,n1))
| ~ spl3_15
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2256,f27]) ).
fof(f2256,plain,
( sK2 = sum(pred(sum(n14,succ(n9))),sum(n9,pred(n2)))
| ~ spl3_15
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2255,f349]) ).
fof(f2255,plain,
( sK2 = sum(pred(sum(n14,succ(n9))),sum(n9,pred(sum(n14,n9))))
| ~ spl3_15
| ~ spl3_31 ),
inference(forward_demodulation,[],[f2237,f780]) ).
fof(f2237,plain,
( sK2 = sum(pred(sum(sK0,succ(n9))),sum(n9,pred(sum(sK0,n9))))
| ~ spl3_31 ),
inference(superposition,[],[f489,f866]) ).
fof(f2236,plain,
( ~ spl3_15
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f2235]) ).
fof(f2235,plain,
( $false
| ~ spl3_15
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f2234,f508]) ).
fof(f2234,plain,
( n18 = sK2
| ~ spl3_15
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2233,f424]) ).
fof(f2233,plain,
( sum(n18,n0) = sK2
| ~ spl3_15
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2232,f44]) ).
fof(f2232,plain,
( sK2 = sum(pred(n19),n0)
| ~ spl3_15
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2231,f345]) ).
fof(f2231,plain,
( sK2 = sum(pred(sum(n14,n5)),n0)
| ~ spl3_15
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2230,f8]) ).
fof(f2230,plain,
( sK2 = sum(pred(sum(n14,succ(n4))),n0)
| ~ spl3_15
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2229,f147]) ).
fof(f2229,plain,
( sK2 = sum(pred(sum(n14,succ(n4))),sum(n4,n17))
| ~ spl3_15
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2228,f43]) ).
fof(f2228,plain,
( sK2 = sum(pred(sum(n14,succ(n4))),sum(n4,pred(n18)))
| ~ spl3_15
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2227,f344]) ).
fof(f2227,plain,
( sK2 = sum(pred(sum(n14,succ(n4))),sum(n4,pred(sum(n14,n4))))
| ~ spl3_15
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2209,f780]) ).
fof(f2209,plain,
( sK2 = sum(pred(sum(sK0,succ(n4))),sum(n4,pred(sum(sK0,n4))))
| ~ spl3_26 ),
inference(superposition,[],[f489,f846]) ).
fof(f2208,plain,
( ~ spl3_15
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f2207]) ).
fof(f2207,plain,
( $false
| ~ spl3_15
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f2206,f493]) ).
fof(f2206,plain,
( n3 = sK2
| ~ spl3_15
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2205,f190]) ).
fof(f2205,plain,
( sum(n6,n18) = sK2
| ~ spl3_15
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2204,f32]) ).
fof(f2204,plain,
( sK2 = sum(pred(n7),n18)
| ~ spl3_15
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2203,f354]) ).
fof(f2203,plain,
( sK2 = sum(pred(sum(n14,n14)),n18)
| ~ spl3_15
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2202,f17]) ).
fof(f2202,plain,
( sK2 = sum(pred(sum(n14,succ(n13))),n18)
| ~ spl3_15
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2201,f324]) ).
fof(f2201,plain,
( sK2 = sum(pred(sum(n14,succ(n13))),sum(n13,n5))
| ~ spl3_15
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2200,f31]) ).
fof(f2200,plain,
( sK2 = sum(pred(sum(n14,succ(n13))),sum(n13,pred(n6)))
| ~ spl3_15
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2199,f353]) ).
fof(f2199,plain,
( sK2 = sum(pred(sum(n14,succ(n13))),sum(n13,pred(sum(n14,n13))))
| ~ spl3_15
| ~ spl3_35 ),
inference(forward_demodulation,[],[f2180,f780]) ).
fof(f2180,plain,
( sK2 = sum(pred(sum(sK0,succ(n13))),sum(n13,pred(sum(sK0,n13))))
| ~ spl3_35 ),
inference(superposition,[],[f489,f882]) ).
fof(f2179,plain,
( ~ spl3_15
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f2178]) ).
fof(f2178,plain,
( $false
| ~ spl3_15
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f2177,f490]) ).
fof(f2177,plain,
( n0 = sK2
| ~ spl3_15
| ~ spl3_41 ),
inference(forward_demodulation,[],[f2176,f307]) ).
fof(f2176,plain,
( sum(n12,n9) = sK2
| ~ spl3_15
| ~ spl3_41 ),
inference(forward_demodulation,[],[f2175,f38]) ).
fof(f2175,plain,
( sK2 = sum(pred(n13),n9)
| ~ spl3_15
| ~ spl3_41 ),
inference(forward_demodulation,[],[f2174,f360]) ).
fof(f2174,plain,
( sK2 = sum(pred(sum(n14,n20)),n9)
| ~ spl3_15
| ~ spl3_41 ),
inference(forward_demodulation,[],[f2173,f23]) ).
fof(f2173,plain,
( sK2 = sum(pred(sum(n14,succ(n19))),n9)
| ~ spl3_15
| ~ spl3_41 ),
inference(forward_demodulation,[],[f2172,f456]) ).
fof(f2172,plain,
( sK2 = sum(pred(sum(n14,succ(n19))),sum(n19,n11))
| ~ spl3_15
| ~ spl3_41 ),
inference(forward_demodulation,[],[f2171,f37]) ).
fof(f2171,plain,
( sK2 = sum(pred(sum(n14,succ(n19))),sum(n19,pred(n12)))
| ~ spl3_15
| ~ spl3_41 ),
inference(forward_demodulation,[],[f2170,f359]) ).
fof(f2170,plain,
( sK2 = sum(pred(sum(n14,succ(n19))),sum(n19,pred(sum(n14,n19))))
| ~ spl3_15
| ~ spl3_41 ),
inference(forward_demodulation,[],[f2150,f780]) ).
fof(f2150,plain,
( sK2 = sum(pred(sum(sK0,succ(n19))),sum(n19,pred(sum(sK0,n19))))
| ~ spl3_41 ),
inference(superposition,[],[f489,f906]) ).
fof(f2149,plain,
( ~ spl3_15
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f2148]) ).
fof(f2148,plain,
( $false
| ~ spl3_15
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f2147,f499]) ).
fof(f2147,plain,
( n9 = sK2
| ~ spl3_15
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2146,f75]) ).
fof(f2146,plain,
( sum(n1,n8) = sK2
| ~ spl3_15
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2145,f27]) ).
fof(f2145,plain,
( sK2 = sum(pred(n2),n8)
| ~ spl3_15
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2144,f349]) ).
fof(f2144,plain,
( sK2 = sum(pred(sum(n14,n9)),n8)
| ~ spl3_15
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2143,f12]) ).
fof(f2143,plain,
( sK2 = sum(pred(sum(n14,succ(n8))),n8)
| ~ spl3_15
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2142,f214]) ).
fof(f2142,plain,
( sK2 = sum(pred(sum(n14,succ(n8))),sum(n8,n0))
| ~ spl3_15
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2141,f26]) ).
fof(f2141,plain,
( sK2 = sum(pred(sum(n14,succ(n8))),sum(n8,pred(n1)))
| ~ spl3_15
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2140,f348]) ).
fof(f2140,plain,
( sK2 = sum(pred(sum(n14,succ(n8))),sum(n8,pred(sum(n14,n8))))
| ~ spl3_15
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2122,f780]) ).
fof(f2122,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_30 ),
inference(superposition,[],[f489,f862]) ).
fof(f2121,plain,
( ~ spl3_15
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f2120]) ).
fof(f2120,plain,
( $false
| ~ spl3_15
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f2119,f490]) ).
fof(f2119,plain,
( n0 = sK2
| ~ spl3_15
| ~ spl3_34 ),
inference(forward_demodulation,[],[f2118,f167]) ).
fof(f2118,plain,
( sum(n5,n16) = sK2
| ~ spl3_15
| ~ spl3_34 ),
inference(forward_demodulation,[],[f2117,f31]) ).
fof(f2117,plain,
( sK2 = sum(pred(n6),n16)
| ~ spl3_15
| ~ spl3_34 ),
inference(forward_demodulation,[],[f2116,f353]) ).
fof(f2116,plain,
( sK2 = sum(pred(sum(n14,n13)),n16)
| ~ spl3_15
| ~ spl3_34 ),
inference(forward_demodulation,[],[f2115,f16]) ).
fof(f2115,plain,
( sK2 = sum(pred(sum(n14,succ(n12))),n16)
| ~ spl3_15
| ~ spl3_34 ),
inference(forward_demodulation,[],[f2114,f302]) ).
fof(f2114,plain,
( sK2 = sum(pred(sum(n14,succ(n12))),sum(n12,n4))
| ~ spl3_15
| ~ spl3_34 ),
inference(forward_demodulation,[],[f2113,f30]) ).
fof(f2113,plain,
( sK2 = sum(pred(sum(n14,succ(n12))),sum(n12,pred(n5)))
| ~ spl3_15
| ~ spl3_34 ),
inference(forward_demodulation,[],[f2112,f352]) ).
fof(f2112,plain,
( sK2 = sum(pred(sum(n14,succ(n12))),sum(n12,pred(sum(n14,n12))))
| ~ spl3_15
| ~ spl3_34 ),
inference(forward_demodulation,[],[f2093,f780]) ).
fof(f2093,plain,
( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
| ~ spl3_34 ),
inference(superposition,[],[f489,f878]) ).
fof(f2092,plain,
( ~ spl3_15
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f2091]) ).
fof(f2091,plain,
( $false
| ~ spl3_15
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f2090,f505]) ).
fof(f2090,plain,
( n15 = sK2
| ~ spl3_15
| ~ spl3_39 ),
inference(forward_demodulation,[],[f2089,f261]) ).
fof(f2089,plain,
( sum(n10,n5) = sK2
| ~ spl3_15
| ~ spl3_39 ),
inference(forward_demodulation,[],[f2088,f36]) ).
fof(f2088,plain,
( sK2 = sum(pred(n11),n5)
| ~ spl3_15
| ~ spl3_39 ),
inference(forward_demodulation,[],[f2087,f358]) ).
fof(f2087,plain,
( sK2 = sum(pred(sum(n14,n18)),n5)
| ~ spl3_15
| ~ spl3_39 ),
inference(forward_demodulation,[],[f2086,f21]) ).
fof(f2086,plain,
( sK2 = sum(pred(sum(n14,succ(n17))),n5)
| ~ spl3_15
| ~ spl3_39 ),
inference(forward_demodulation,[],[f2085,f412]) ).
fof(f2085,plain,
( sK2 = sum(pred(sum(n14,succ(n17))),sum(n17,n9))
| ~ spl3_15
| ~ spl3_39 ),
inference(forward_demodulation,[],[f2084,f35]) ).
fof(f2084,plain,
( sK2 = sum(pred(sum(n14,succ(n17))),sum(n17,pred(n10)))
| ~ spl3_15
| ~ spl3_39 ),
inference(forward_demodulation,[],[f2083,f357]) ).
fof(f2083,plain,
( sK2 = sum(pred(sum(n14,succ(n17))),sum(n17,pred(sum(n14,n17))))
| ~ spl3_15
| ~ spl3_39 ),
inference(forward_demodulation,[],[f2063,f780]) ).
fof(f2063,plain,
( sK2 = sum(pred(sum(sK0,succ(n17))),sum(n17,pred(sum(sK0,n17))))
| ~ spl3_39 ),
inference(superposition,[],[f489,f898]) ).
fof(f2062,plain,
( ~ spl3_15
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f2061]) ).
fof(f2061,plain,
( $false
| ~ spl3_15
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f2060,f496]) ).
fof(f2060,plain,
( n6 = sK2
| ~ spl3_15
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2059,f52]) ).
fof(f2059,plain,
( sum(n0,n6) = sK2
| ~ spl3_15
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2058,f26]) ).
fof(f2058,plain,
( sK2 = sum(pred(n1),n6)
| ~ spl3_15
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2057,f348]) ).
fof(f2057,plain,
( sK2 = sum(pred(sum(n14,n8)),n6)
| ~ spl3_15
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2056,f11]) ).
fof(f2056,plain,
( sK2 = sum(pred(sum(n14,succ(n7))),n6)
| ~ spl3_15
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2055,f213]) ).
fof(f2055,plain,
( sK2 = sum(pred(sum(n14,succ(n7))),sum(n7,n20))
| ~ spl3_15
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2054,f25]) ).
fof(f2054,plain,
( sK2 = sum(pred(sum(n14,succ(n7))),sum(n7,pred(n0)))
| ~ spl3_15
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2053,f347]) ).
fof(f2053,plain,
( sK2 = sum(pred(sum(n14,succ(n7))),sum(n7,pred(sum(n14,n7))))
| ~ spl3_15
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2033,f780]) ).
fof(f2033,plain,
( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
| ~ spl3_29 ),
inference(superposition,[],[f489,f858]) ).
fof(f2011,plain,
( ~ spl3_1
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f2010]) ).
fof(f2010,plain,
( $false
| ~ spl3_1
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f2009,f507]) ).
fof(f2009,plain,
( n17 = sK2
| ~ spl3_1
| ~ spl3_42 ),
inference(forward_demodulation,[],[f2008,f484]) ).
fof(f2008,plain,
( sum(n20,n18) = sK2
| ~ spl3_1
| ~ spl3_42 ),
inference(forward_demodulation,[],[f2007,f25]) ).
fof(f2007,plain,
( sK2 = sum(pred(n0),n18)
| ~ spl3_1
| ~ spl3_42 ),
inference(forward_demodulation,[],[f2006,f46]) ).
fof(f2006,plain,
( sK2 = sum(pred(sum(n0,n0)),n18)
| ~ spl3_1
| ~ spl3_42 ),
inference(forward_demodulation,[],[f2005,f24]) ).
fof(f24,plain,
n0 = succ(n20),
inference(cnf_transformation,[],[f3]) ).
fof(f2005,plain,
( sK2 = sum(pred(sum(n0,succ(n20))),n18)
| ~ spl3_1
| ~ spl3_42 ),
inference(forward_demodulation,[],[f2004,f485]) ).
fof(f2004,plain,
( sK2 = sum(pred(sum(n0,succ(n20))),sum(n20,n19))
| ~ spl3_1
| ~ spl3_42 ),
inference(forward_demodulation,[],[f2003,f45]) ).
fof(f2003,plain,
( sK2 = sum(pred(sum(n0,succ(n20))),sum(n20,pred(n20)))
| ~ spl3_1
| ~ spl3_42 ),
inference(forward_demodulation,[],[f2002,f66]) ).
fof(f2002,plain,
( sK2 = sum(pred(sum(n0,succ(n20))),sum(n20,pred(sum(n0,n20))))
| ~ spl3_1
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1982,f910]) ).
fof(f910,plain,
( n20 = sK1
| ~ spl3_42 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f908,plain,
( spl3_42
<=> n20 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_42])]) ).
fof(f1982,plain,
( sK2 = sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1))))
| ~ spl3_1 ),
inference(superposition,[],[f489,f724]) ).
fof(f1981,plain,
( ~ spl3_21
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f1980]) ).
fof(f1980,plain,
( $false
| ~ spl3_21
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f1979,f505]) ).
fof(f1979,plain,
( n15 = sK2
| ~ spl3_21
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1978,f462]) ).
fof(f1978,plain,
( sum(n19,n17) = sK2
| ~ spl3_21
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1977,f45]) ).
fof(f1977,plain,
( sK2 = sum(pred(n20),n17)
| ~ spl3_21
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1976,f466]) ).
fof(f1976,plain,
( sK2 = sum(pred(sum(n20,n0)),n17)
| ~ spl3_21
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1975,f24]) ).
fof(f1975,plain,
( sK2 = sum(pred(sum(n20,succ(n20))),n17)
| ~ spl3_21
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1974,f484]) ).
fof(f1974,plain,
( sK2 = sum(pred(sum(n20,succ(n20))),sum(n20,n18))
| ~ spl3_21
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1973,f44]) ).
fof(f1973,plain,
( sK2 = sum(pred(sum(n20,succ(n20))),sum(n20,pred(n19)))
| ~ spl3_21
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1972,f486]) ).
fof(f1972,plain,
( sK2 = sum(pred(sum(n20,succ(n20))),sum(n20,pred(sum(n20,n20))))
| ~ spl3_21
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1951,f910]) ).
fof(f1951,plain,
( sK2 = sum(pred(sum(n20,succ(sK1))),sum(sK1,pred(sum(n20,sK1))))
| ~ spl3_21 ),
inference(superposition,[],[f489,f804]) ).
fof(f1950,plain,
( ~ spl3_20
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f1949]) ).
fof(f1949,plain,
( $false
| ~ spl3_20
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f1948,f503]) ).
fof(f1948,plain,
( n13 = sK2
| ~ spl3_20
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1947,f440]) ).
fof(f1947,plain,
( sum(n18,n16) = sK2
| ~ spl3_20
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1946,f44]) ).
fof(f1946,plain,
( sK2 = sum(pred(n19),n16)
| ~ spl3_20
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1945,f445]) ).
fof(f1945,plain,
( sK2 = sum(pred(sum(n19,n0)),n16)
| ~ spl3_20
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1944,f24]) ).
fof(f1944,plain,
( sK2 = sum(pred(sum(n19,succ(n20))),n16)
| ~ spl3_20
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1943,f483]) ).
fof(f1943,plain,
( sK2 = sum(pred(sum(n19,succ(n20))),sum(n20,n17))
| ~ spl3_20
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1942,f43]) ).
fof(f1942,plain,
( sK2 = sum(pred(sum(n19,succ(n20))),sum(n20,pred(n18)))
| ~ spl3_20
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1941,f465]) ).
fof(f1941,plain,
( sK2 = sum(pred(sum(n19,succ(n20))),sum(n20,pred(sum(n19,n20))))
| ~ spl3_20
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1921,f910]) ).
fof(f1921,plain,
( sK2 = sum(pred(sum(n19,succ(sK1))),sum(sK1,pred(sum(n19,sK1))))
| ~ spl3_20 ),
inference(superposition,[],[f489,f800]) ).
fof(f1920,plain,
( ~ spl3_19
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f1919]) ).
fof(f1919,plain,
( $false
| ~ spl3_19
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f1918,f501]) ).
fof(f1918,plain,
( n11 = sK2
| ~ spl3_19
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1917,f418]) ).
fof(f1917,plain,
( sum(n17,n15) = sK2
| ~ spl3_19
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1916,f43]) ).
fof(f1916,plain,
( sK2 = sum(pred(n18),n15)
| ~ spl3_19
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1915,f424]) ).
fof(f1915,plain,
( sK2 = sum(pred(sum(n18,n0)),n15)
| ~ spl3_19
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1914,f24]) ).
fof(f1914,plain,
( sK2 = sum(pred(sum(n18,succ(n20))),n15)
| ~ spl3_19
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1913,f482]) ).
fof(f1913,plain,
( sK2 = sum(pred(sum(n18,succ(n20))),sum(n20,n16))
| ~ spl3_19
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1912,f42]) ).
fof(f1912,plain,
( sK2 = sum(pred(sum(n18,succ(n20))),sum(n20,pred(n17)))
| ~ spl3_19
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1911,f444]) ).
fof(f1911,plain,
( sK2 = sum(pred(sum(n18,succ(n20))),sum(n20,pred(sum(n18,n20))))
| ~ spl3_19
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1892,f910]) ).
fof(f1892,plain,
( sK2 = sum(pred(sum(n18,succ(sK1))),sum(sK1,pred(sum(n18,sK1))))
| ~ spl3_19 ),
inference(superposition,[],[f489,f796]) ).
fof(f1891,plain,
( ~ spl3_18
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f1890]) ).
fof(f1890,plain,
( $false
| ~ spl3_18
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f1889,f499]) ).
fof(f1889,plain,
( n9 = sK2
| ~ spl3_18
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1888,f396]) ).
fof(f1888,plain,
( sum(n16,n14) = sK2
| ~ spl3_18
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1887,f42]) ).
fof(f1887,plain,
( sK2 = sum(pred(n17),n14)
| ~ spl3_18
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1886,f403]) ).
fof(f1886,plain,
( sK2 = sum(pred(sum(n17,n0)),n14)
| ~ spl3_18
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1885,f24]) ).
fof(f1885,plain,
( sK2 = sum(pred(sum(n17,succ(n20))),n14)
| ~ spl3_18
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1884,f481]) ).
fof(f1884,plain,
( sK2 = sum(pred(sum(n17,succ(n20))),sum(n20,n15))
| ~ spl3_18
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1883,f41]) ).
fof(f1883,plain,
( sK2 = sum(pred(sum(n17,succ(n20))),sum(n20,pred(n16)))
| ~ spl3_18
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1882,f423]) ).
fof(f1882,plain,
( sK2 = sum(pred(sum(n17,succ(n20))),sum(n20,pred(sum(n17,n20))))
| ~ spl3_18
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1864,f910]) ).
fof(f1864,plain,
( sK2 = sum(pred(sum(n17,succ(sK1))),sum(sK1,pred(sum(n17,sK1))))
| ~ spl3_18 ),
inference(superposition,[],[f489,f792]) ).
fof(f1863,plain,
( ~ spl3_17
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f1862]) ).
fof(f1862,plain,
( $false
| ~ spl3_17
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f1861,f497]) ).
fof(f1861,plain,
( n7 = sK2
| ~ spl3_17
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1860,f374]) ).
fof(f1860,plain,
( sum(n15,n13) = sK2
| ~ spl3_17
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1859,f41]) ).
fof(f1859,plain,
( sK2 = sum(pred(n16),n13)
| ~ spl3_17
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1858,f382]) ).
fof(f1858,plain,
( sK2 = sum(pred(sum(n16,n0)),n13)
| ~ spl3_17
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1857,f24]) ).
fof(f1857,plain,
( sK2 = sum(pred(sum(n16,succ(n20))),n13)
| ~ spl3_17
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1856,f480]) ).
fof(f1856,plain,
( sK2 = sum(pred(sum(n16,succ(n20))),sum(n20,n14))
| ~ spl3_17
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1855,f40]) ).
fof(f1855,plain,
( sK2 = sum(pred(sum(n16,succ(n20))),sum(n20,pred(n15)))
| ~ spl3_17
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1854,f402]) ).
fof(f1854,plain,
( sK2 = sum(pred(sum(n16,succ(n20))),sum(n20,pred(sum(n16,n20))))
| ~ spl3_17
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1837,f910]) ).
fof(f1837,plain,
( sK2 = sum(pred(sum(n16,succ(sK1))),sum(sK1,pred(sum(n16,sK1))))
| ~ spl3_17 ),
inference(superposition,[],[f489,f788]) ).
fof(f1836,plain,
( ~ spl3_16
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f1835]) ).
fof(f1835,plain,
( $false
| ~ spl3_16
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f1834,f495]) ).
fof(f1834,plain,
( n5 = sK2
| ~ spl3_16
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1833,f352]) ).
fof(f1833,plain,
( sum(n14,n12) = sK2
| ~ spl3_16
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1832,f40]) ).
fof(f1832,plain,
( sK2 = sum(pred(n15),n12)
| ~ spl3_16
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1831,f361]) ).
fof(f1831,plain,
( sK2 = sum(pred(sum(n15,n0)),n12)
| ~ spl3_16
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1830,f24]) ).
fof(f1830,plain,
( sK2 = sum(pred(sum(n15,succ(n20))),n12)
| ~ spl3_16
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1829,f479]) ).
fof(f1829,plain,
( sK2 = sum(pred(sum(n15,succ(n20))),sum(n20,n13))
| ~ spl3_16
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1828,f39]) ).
fof(f1828,plain,
( sK2 = sum(pred(sum(n15,succ(n20))),sum(n20,pred(n14)))
| ~ spl3_16
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1827,f381]) ).
fof(f1827,plain,
( sK2 = sum(pred(sum(n15,succ(n20))),sum(n20,pred(sum(n15,n20))))
| ~ spl3_16
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1811,f910]) ).
fof(f1811,plain,
( sK2 = sum(pred(sum(n15,succ(sK1))),sum(sK1,pred(sum(n15,sK1))))
| ~ spl3_16 ),
inference(superposition,[],[f489,f784]) ).
fof(f1810,plain,
( ~ spl3_15
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f1809]) ).
fof(f1809,plain,
( $false
| ~ spl3_15
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f1808,f493]) ).
fof(f1808,plain,
( n3 = sK2
| ~ spl3_15
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1807,f330]) ).
fof(f1807,plain,
( sum(n13,n11) = sK2
| ~ spl3_15
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1806,f39]) ).
fof(f1806,plain,
( sK2 = sum(pred(n14),n11)
| ~ spl3_15
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1805,f340]) ).
fof(f1805,plain,
( sK2 = sum(pred(sum(n14,n0)),n11)
| ~ spl3_15
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1804,f24]) ).
fof(f1804,plain,
( sK2 = sum(pred(sum(n14,succ(n20))),n11)
| ~ spl3_15
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1803,f478]) ).
fof(f1803,plain,
( sK2 = sum(pred(sum(n14,succ(n20))),sum(n20,n12))
| ~ spl3_15
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1802,f38]) ).
fof(f1802,plain,
( sK2 = sum(pred(sum(n14,succ(n20))),sum(n20,pred(n13)))
| ~ spl3_15
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1801,f360]) ).
fof(f1801,plain,
( sK2 = sum(pred(sum(n14,succ(n20))),sum(n20,pred(sum(n14,n20))))
| ~ spl3_15
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1786,f910]) ).
fof(f1786,plain,
( sK2 = sum(pred(sum(n14,succ(sK1))),sum(sK1,pred(sum(n14,sK1))))
| ~ spl3_15 ),
inference(superposition,[],[f489,f780]) ).
fof(f1785,plain,
( ~ spl3_14
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f1784]) ).
fof(f1784,plain,
( $false
| ~ spl3_14
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f1783,f491]) ).
fof(f1783,plain,
( n1 = sK2
| ~ spl3_14
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1782,f308]) ).
fof(f1782,plain,
( sum(n12,n10) = sK2
| ~ spl3_14
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1781,f38]) ).
fof(f1781,plain,
( sK2 = sum(pred(n13),n10)
| ~ spl3_14
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1780,f319]) ).
fof(f1780,plain,
( sK2 = sum(pred(sum(n13,n0)),n10)
| ~ spl3_14
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1779,f24]) ).
fof(f1779,plain,
( sK2 = sum(pred(sum(n13,succ(n20))),n10)
| ~ spl3_14
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1778,f477]) ).
fof(f1778,plain,
( sK2 = sum(pred(sum(n13,succ(n20))),sum(n20,n11))
| ~ spl3_14
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1777,f37]) ).
fof(f1777,plain,
( sK2 = sum(pred(sum(n13,succ(n20))),sum(n20,pred(n12)))
| ~ spl3_14
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1776,f339]) ).
fof(f1776,plain,
( sK2 = sum(pred(sum(n13,succ(n20))),sum(n20,pred(sum(n13,n20))))
| ~ spl3_14
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1762,f910]) ).
fof(f1762,plain,
( sK2 = sum(pred(sum(n13,succ(sK1))),sum(sK1,pred(sum(n13,sK1))))
| ~ spl3_14 ),
inference(superposition,[],[f489,f776]) ).
fof(f1761,plain,
( ~ spl3_13
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f1760]) ).
fof(f1760,plain,
( $false
| ~ spl3_13
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f1759,f510]) ).
fof(f1759,plain,
( n20 = sK2
| ~ spl3_13
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1758,f286]) ).
fof(f1758,plain,
( sum(n11,n9) = sK2
| ~ spl3_13
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1757,f37]) ).
fof(f1757,plain,
( sK2 = sum(pred(n12),n9)
| ~ spl3_13
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1756,f298]) ).
fof(f1756,plain,
( sK2 = sum(pred(sum(n12,n0)),n9)
| ~ spl3_13
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1755,f24]) ).
fof(f1755,plain,
( sK2 = sum(pred(sum(n12,succ(n20))),n9)
| ~ spl3_13
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1754,f476]) ).
fof(f1754,plain,
( sK2 = sum(pred(sum(n12,succ(n20))),sum(n20,n10))
| ~ spl3_13
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1753,f36]) ).
fof(f1753,plain,
( sK2 = sum(pred(sum(n12,succ(n20))),sum(n20,pred(n11)))
| ~ spl3_13
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1752,f318]) ).
fof(f1752,plain,
( sK2 = sum(pred(sum(n12,succ(n20))),sum(n20,pred(sum(n12,n20))))
| ~ spl3_13
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1739,f910]) ).
fof(f1739,plain,
( sK2 = sum(pred(sum(n12,succ(sK1))),sum(sK1,pred(sum(n12,sK1))))
| ~ spl3_13 ),
inference(superposition,[],[f489,f772]) ).
fof(f1738,plain,
( ~ spl3_12
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f1737]) ).
fof(f1737,plain,
( $false
| ~ spl3_12
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f1736,f508]) ).
fof(f1736,plain,
( n18 = sK2
| ~ spl3_12
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1735,f264]) ).
fof(f1735,plain,
( sum(n10,n8) = sK2
| ~ spl3_12
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1734,f36]) ).
fof(f1734,plain,
( sK2 = sum(pred(n11),n8)
| ~ spl3_12
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1733,f277]) ).
fof(f1733,plain,
( sK2 = sum(pred(sum(n11,n0)),n8)
| ~ spl3_12
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1732,f24]) ).
fof(f1732,plain,
( sK2 = sum(pred(sum(n11,succ(n20))),n8)
| ~ spl3_12
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1731,f475]) ).
fof(f1731,plain,
( sK2 = sum(pred(sum(n11,succ(n20))),sum(n20,n9))
| ~ spl3_12
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1730,f35]) ).
fof(f1730,plain,
( sK2 = sum(pred(sum(n11,succ(n20))),sum(n20,pred(n10)))
| ~ spl3_12
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1729,f297]) ).
fof(f1729,plain,
( sK2 = sum(pred(sum(n11,succ(n20))),sum(n20,pred(sum(n11,n20))))
| ~ spl3_12
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1717,f910]) ).
fof(f1717,plain,
( sK2 = sum(pred(sum(n11,succ(sK1))),sum(sK1,pred(sum(n11,sK1))))
| ~ spl3_12 ),
inference(superposition,[],[f489,f768]) ).
fof(f1716,plain,
( ~ spl3_11
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f1715]) ).
fof(f1715,plain,
( $false
| ~ spl3_11
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f1714,f506]) ).
fof(f1714,plain,
( n16 = sK2
| ~ spl3_11
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1713,f242]) ).
fof(f1713,plain,
( sum(n9,n7) = sK2
| ~ spl3_11
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1712,f35]) ).
fof(f1712,plain,
( sK2 = sum(pred(n10),n7)
| ~ spl3_11
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1711,f256]) ).
fof(f1711,plain,
( sK2 = sum(pred(sum(n10,n0)),n7)
| ~ spl3_11
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1710,f24]) ).
fof(f1710,plain,
( sK2 = sum(pred(sum(n10,succ(n20))),n7)
| ~ spl3_11
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1709,f474]) ).
fof(f1709,plain,
( sK2 = sum(pred(sum(n10,succ(n20))),sum(n20,n8))
| ~ spl3_11
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1708,f34]) ).
fof(f1708,plain,
( sK2 = sum(pred(sum(n10,succ(n20))),sum(n20,pred(n9)))
| ~ spl3_11
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1707,f276]) ).
fof(f1707,plain,
( sK2 = sum(pred(sum(n10,succ(n20))),sum(n20,pred(sum(n10,n20))))
| ~ spl3_11
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1696,f910]) ).
fof(f1696,plain,
( sK2 = sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1))))
| ~ spl3_11 ),
inference(superposition,[],[f489,f764]) ).
fof(f1695,plain,
( ~ spl3_10
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f1694]) ).
fof(f1694,plain,
( $false
| ~ spl3_10
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f1693,f504]) ).
fof(f1693,plain,
( n14 = sK2
| ~ spl3_10
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1692,f220]) ).
fof(f1692,plain,
( sum(n8,n6) = sK2
| ~ spl3_10
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1691,f34]) ).
fof(f1691,plain,
( sK2 = sum(pred(n9),n6)
| ~ spl3_10
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1690,f235]) ).
fof(f1690,plain,
( sK2 = sum(pred(sum(n9,n0)),n6)
| ~ spl3_10
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1689,f24]) ).
fof(f1689,plain,
( sK2 = sum(pred(sum(n9,succ(n20))),n6)
| ~ spl3_10
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1688,f473]) ).
fof(f1688,plain,
( sK2 = sum(pred(sum(n9,succ(n20))),sum(n20,n7))
| ~ spl3_10
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1687,f33]) ).
fof(f1687,plain,
( sK2 = sum(pred(sum(n9,succ(n20))),sum(n20,pred(n8)))
| ~ spl3_10
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1686,f255]) ).
fof(f1686,plain,
( sK2 = sum(pred(sum(n9,succ(n20))),sum(n20,pred(sum(n9,n20))))
| ~ spl3_10
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1676,f910]) ).
fof(f1676,plain,
( sK2 = sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1))))
| ~ spl3_10 ),
inference(superposition,[],[f489,f760]) ).
fof(f1675,plain,
( ~ spl3_9
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f1674]) ).
fof(f1674,plain,
( $false
| ~ spl3_9
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f1673,f502]) ).
fof(f1673,plain,
( n12 = sK2
| ~ spl3_9
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1672,f198]) ).
fof(f1672,plain,
( sum(n7,n5) = sK2
| ~ spl3_9
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1671,f33]) ).
fof(f1671,plain,
( sK2 = sum(pred(n8),n5)
| ~ spl3_9
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1670,f214]) ).
fof(f1670,plain,
( sK2 = sum(pred(sum(n8,n0)),n5)
| ~ spl3_9
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1669,f24]) ).
fof(f1669,plain,
( sK2 = sum(pred(sum(n8,succ(n20))),n5)
| ~ spl3_9
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1668,f472]) ).
fof(f1668,plain,
( sK2 = sum(pred(sum(n8,succ(n20))),sum(n20,n6))
| ~ spl3_9
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1667,f32]) ).
fof(f1667,plain,
( sK2 = sum(pred(sum(n8,succ(n20))),sum(n20,pred(n7)))
| ~ spl3_9
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1666,f234]) ).
fof(f1666,plain,
( sK2 = sum(pred(sum(n8,succ(n20))),sum(n20,pred(sum(n8,n20))))
| ~ spl3_9
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1657,f910]) ).
fof(f1657,plain,
( sK2 = sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1))))
| ~ spl3_9 ),
inference(superposition,[],[f489,f756]) ).
fof(f1656,plain,
( ~ spl3_8
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f1655]) ).
fof(f1655,plain,
( $false
| ~ spl3_8
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f1654,f500]) ).
fof(f1654,plain,
( n10 = sK2
| ~ spl3_8
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1653,f176]) ).
fof(f1653,plain,
( sum(n6,n4) = sK2
| ~ spl3_8
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1652,f32]) ).
fof(f1652,plain,
( sK2 = sum(pred(n7),n4)
| ~ spl3_8
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1651,f193]) ).
fof(f1651,plain,
( sK2 = sum(pred(sum(n7,n0)),n4)
| ~ spl3_8
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1650,f24]) ).
fof(f1650,plain,
( sK2 = sum(pred(sum(n7,succ(n20))),n4)
| ~ spl3_8
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1649,f471]) ).
fof(f1649,plain,
( sK2 = sum(pred(sum(n7,succ(n20))),sum(n20,n5))
| ~ spl3_8
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1648,f31]) ).
fof(f1648,plain,
( sK2 = sum(pred(sum(n7,succ(n20))),sum(n20,pred(n6)))
| ~ spl3_8
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1647,f213]) ).
fof(f1647,plain,
( sK2 = sum(pred(sum(n7,succ(n20))),sum(n20,pred(sum(n7,n20))))
| ~ spl3_8
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1639,f910]) ).
fof(f1639,plain,
( sK2 = sum(pred(sum(n7,succ(sK1))),sum(sK1,pred(sum(n7,sK1))))
| ~ spl3_8 ),
inference(superposition,[],[f489,f752]) ).
fof(f1638,plain,
( ~ spl3_7
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f1637]) ).
fof(f1637,plain,
( $false
| ~ spl3_7
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f1636,f498]) ).
fof(f1636,plain,
( n8 = sK2
| ~ spl3_7
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1635,f154]) ).
fof(f1635,plain,
( sum(n5,n3) = sK2
| ~ spl3_7
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1634,f31]) ).
fof(f1634,plain,
( sK2 = sum(pred(n6),n3)
| ~ spl3_7
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1633,f172]) ).
fof(f1633,plain,
( sK2 = sum(pred(sum(n6,n0)),n3)
| ~ spl3_7
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1632,f24]) ).
fof(f1632,plain,
( sK2 = sum(pred(sum(n6,succ(n20))),n3)
| ~ spl3_7
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1631,f470]) ).
fof(f1631,plain,
( sK2 = sum(pred(sum(n6,succ(n20))),sum(n20,n4))
| ~ spl3_7
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1630,f30]) ).
fof(f1630,plain,
( sK2 = sum(pred(sum(n6,succ(n20))),sum(n20,pred(n5)))
| ~ spl3_7
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1629,f192]) ).
fof(f1629,plain,
( sK2 = sum(pred(sum(n6,succ(n20))),sum(n20,pred(sum(n6,n20))))
| ~ spl3_7
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1622,f910]) ).
fof(f1622,plain,
( sK2 = sum(pred(sum(n6,succ(sK1))),sum(sK1,pred(sum(n6,sK1))))
| ~ spl3_7 ),
inference(superposition,[],[f489,f748]) ).
fof(f1621,plain,
( ~ spl3_6
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f1620]) ).
fof(f1620,plain,
( $false
| ~ spl3_6
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f1619,f496]) ).
fof(f1619,plain,
( n6 = sK2
| ~ spl3_6
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1618,f132]) ).
fof(f1618,plain,
( sum(n4,n2) = sK2
| ~ spl3_6
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1617,f30]) ).
fof(f1617,plain,
( sK2 = sum(pred(n5),n2)
| ~ spl3_6
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1616,f151]) ).
fof(f1616,plain,
( sK2 = sum(pred(sum(n5,n0)),n2)
| ~ spl3_6
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1615,f24]) ).
fof(f1615,plain,
( sK2 = sum(pred(sum(n5,succ(n20))),n2)
| ~ spl3_6
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1614,f469]) ).
fof(f1614,plain,
( sK2 = sum(pred(sum(n5,succ(n20))),sum(n20,n3))
| ~ spl3_6
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1613,f29]) ).
fof(f1613,plain,
( sK2 = sum(pred(sum(n5,succ(n20))),sum(n20,pred(n4)))
| ~ spl3_6
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1612,f171]) ).
fof(f1612,plain,
( sK2 = sum(pred(sum(n5,succ(n20))),sum(n20,pred(sum(n5,n20))))
| ~ spl3_6
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1606,f910]) ).
fof(f1606,plain,
( sK2 = sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1))))
| ~ spl3_6 ),
inference(superposition,[],[f489,f744]) ).
fof(f1605,plain,
( ~ spl3_5
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f1604]) ).
fof(f1604,plain,
( $false
| ~ spl3_5
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f1603,f494]) ).
fof(f1603,plain,
( n4 = sK2
| ~ spl3_5
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1602,f110]) ).
fof(f1602,plain,
( sum(n3,n1) = sK2
| ~ spl3_5
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1601,f29]) ).
fof(f1601,plain,
( sK2 = sum(pred(n4),n1)
| ~ spl3_5
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1600,f130]) ).
fof(f1600,plain,
( sK2 = sum(pred(sum(n4,n0)),n1)
| ~ spl3_5
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1599,f24]) ).
fof(f1599,plain,
( sK2 = sum(pred(sum(n4,succ(n20))),n1)
| ~ spl3_5
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1598,f468]) ).
fof(f1598,plain,
( sK2 = sum(pred(sum(n4,succ(n20))),sum(n20,n2))
| ~ spl3_5
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1597,f28]) ).
fof(f1597,plain,
( sK2 = sum(pred(sum(n4,succ(n20))),sum(n20,pred(n3)))
| ~ spl3_5
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1596,f150]) ).
fof(f1596,plain,
( sK2 = sum(pred(sum(n4,succ(n20))),sum(n20,pred(sum(n4,n20))))
| ~ spl3_5
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1595,f910]) ).
fof(f1595,plain,
( sK2 = sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1))))
| ~ spl3_5 ),
inference(superposition,[],[f489,f740]) ).
fof(f1590,plain,
( ~ spl3_4
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f1589]) ).
fof(f1589,plain,
( $false
| ~ spl3_4
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f1588,f492]) ).
fof(f1588,plain,
( n2 = sK2
| ~ spl3_4
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1587,f88]) ).
fof(f1587,plain,
( sum(n2,n0) = sK2
| ~ spl3_4
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1586,f28]) ).
fof(f1586,plain,
( sK2 = sum(pred(n3),n0)
| ~ spl3_4
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1585,f109]) ).
fof(f1585,plain,
( sK2 = sum(pred(sum(n3,n0)),n0)
| ~ spl3_4
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1584,f24]) ).
fof(f1584,plain,
( sK2 = sum(pred(sum(n3,succ(n20))),n0)
| ~ spl3_4
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1583,f467]) ).
fof(f1583,plain,
( sK2 = sum(pred(sum(n3,succ(n20))),sum(n20,n1))
| ~ spl3_4
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1582,f27]) ).
fof(f1582,plain,
( sK2 = sum(pred(sum(n3,succ(n20))),sum(n20,pred(n2)))
| ~ spl3_4
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1581,f129]) ).
fof(f1581,plain,
( sK2 = sum(pred(sum(n3,succ(n20))),sum(n20,pred(sum(n3,n20))))
| ~ spl3_4
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1580,f910]) ).
fof(f1580,plain,
( sK2 = sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1))))
| ~ spl3_4 ),
inference(superposition,[],[f489,f736]) ).
fof(f1576,plain,
( ~ spl3_3
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f1575]) ).
fof(f1575,plain,
( $false
| ~ spl3_3
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f1574,f490]) ).
fof(f1574,plain,
( n0 = sK2
| ~ spl3_3
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1573,f87]) ).
fof(f1573,plain,
( sum(n1,n20) = sK2
| ~ spl3_3
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1572,f27]) ).
fof(f1572,plain,
( sK2 = sum(pred(n2),n20)
| ~ spl3_3
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1571,f88]) ).
fof(f1571,plain,
( sK2 = sum(pred(sum(n2,n0)),n20)
| ~ spl3_3
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1570,f24]) ).
fof(f1570,plain,
( sK2 = sum(pred(sum(n2,succ(n20))),n20)
| ~ spl3_3
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1569,f466]) ).
fof(f1569,plain,
( sK2 = sum(pred(sum(n2,succ(n20))),sum(n20,n0))
| ~ spl3_3
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1568,f26]) ).
fof(f1568,plain,
( sK2 = sum(pred(sum(n2,succ(n20))),sum(n20,pred(n1)))
| ~ spl3_3
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1567,f108]) ).
fof(f1567,plain,
( sK2 = sum(pred(sum(n2,succ(n20))),sum(n20,pred(sum(n2,n20))))
| ~ spl3_3
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1566,f910]) ).
fof(f1566,plain,
( sK2 = sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1))))
| ~ spl3_3 ),
inference(superposition,[],[f489,f732]) ).
fof(f1562,plain,
( ~ spl3_2
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f1561]) ).
fof(f1561,plain,
( $false
| ~ spl3_2
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f1560,f509]) ).
fof(f1560,plain,
( n19 = sK2
| ~ spl3_2
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1559,f65]) ).
fof(f1559,plain,
( sum(n0,n19) = sK2
| ~ spl3_2
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1558,f26]) ).
fof(f1558,plain,
( sK2 = sum(pred(n1),n19)
| ~ spl3_2
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1557,f67]) ).
fof(f1557,plain,
( sK2 = sum(pred(sum(n1,n0)),n19)
| ~ spl3_2
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1556,f24]) ).
fof(f1556,plain,
( sK2 = sum(pred(sum(n1,succ(n20))),n19)
| ~ spl3_2
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1555,f486]) ).
fof(f1555,plain,
( sK2 = sum(pred(sum(n1,succ(n20))),sum(n20,n20))
| ~ spl3_2
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1554,f25]) ).
fof(f1554,plain,
( sK2 = sum(pred(sum(n1,succ(n20))),sum(n20,pred(n0)))
| ~ spl3_2
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1523,f87]) ).
fof(f1523,plain,
( sK2 = sum(pred(sum(n1,succ(n20))),sum(n20,pred(sum(n1,n20))))
| ~ spl3_2
| ~ spl3_42 ),
inference(superposition,[],[f807,f910]) ).
fof(f807,plain,
( sK2 = sum(pred(sum(n1,succ(sK1))),sum(sK1,pred(sum(n1,sK1))))
| ~ spl3_2 ),
inference(superposition,[],[f489,f728]) ).
fof(f728,plain,
( n1 = sK0
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f726,plain,
( spl3_2
<=> n1 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f1553,plain,
( ~ spl3_2
| ~ spl3_42 ),
inference(avatar_contradiction_clause,[],[f1552]) ).
fof(f1552,plain,
( $false
| ~ spl3_2
| ~ spl3_42 ),
inference(subsumption_resolution,[],[f1551,f509]) ).
fof(f1551,plain,
( n19 = sK2
| ~ spl3_2
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1550,f65]) ).
fof(f1550,plain,
( sum(n0,n19) = sK2
| ~ spl3_2
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1549,f26]) ).
fof(f1549,plain,
( sK2 = sum(pred(n1),n19)
| ~ spl3_2
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1548,f67]) ).
fof(f1548,plain,
( sK2 = sum(pred(sum(n1,n0)),n19)
| ~ spl3_2
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1547,f24]) ).
fof(f1547,plain,
( sK2 = sum(pred(sum(n1,succ(n20))),n19)
| ~ spl3_2
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1546,f486]) ).
fof(f1546,plain,
( sK2 = sum(pred(sum(n1,succ(n20))),sum(n20,n20))
| ~ spl3_2
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1545,f25]) ).
fof(f1545,plain,
( sK2 = sum(pred(sum(n1,succ(n20))),sum(n20,pred(n0)))
| ~ spl3_2
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1544,f87]) ).
fof(f1544,plain,
( sK2 = sum(pred(sum(n1,succ(n20))),sum(n20,pred(sum(n1,n20))))
| ~ spl3_2
| ~ spl3_42 ),
inference(forward_demodulation,[],[f1522,f728]) ).
fof(f1522,plain,
( sK2 = sum(pred(sum(sK0,succ(n20))),sum(n20,pred(sum(sK0,n20))))
| ~ spl3_42 ),
inference(superposition,[],[f489,f910]) ).
fof(f1521,plain,
( ~ spl3_2
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f1520]) ).
fof(f1520,plain,
( $false
| ~ spl3_2
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f1519,f506]) ).
fof(f1519,plain,
( n16 = sK2
| ~ spl3_2
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1518,f483]) ).
fof(f1518,plain,
( sum(n20,n17) = sK2
| ~ spl3_2
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1517,f25]) ).
fof(f1517,plain,
( sK2 = sum(pred(n0),n17)
| ~ spl3_2
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1516,f87]) ).
fof(f1516,plain,
( sK2 = sum(pred(sum(n1,n20)),n17)
| ~ spl3_2
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1515,f23]) ).
fof(f1515,plain,
( sK2 = sum(pred(sum(n1,succ(n19))),n17)
| ~ spl3_2
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1514,f464]) ).
fof(f1514,plain,
( sK2 = sum(pred(sum(n1,succ(n19))),sum(n19,n19))
| ~ spl3_2
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1513,f45]) ).
fof(f1513,plain,
( sK2 = sum(pred(sum(n1,succ(n19))),sum(n19,pred(n20)))
| ~ spl3_2
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1483,f86]) ).
fof(f1483,plain,
( sK2 = sum(pred(sum(n1,succ(n19))),sum(n19,pred(sum(n1,n19))))
| ~ spl3_2
| ~ spl3_41 ),
inference(superposition,[],[f807,f906]) ).
fof(f1512,plain,
( ~ spl3_2
| ~ spl3_41 ),
inference(avatar_contradiction_clause,[],[f1511]) ).
fof(f1511,plain,
( $false
| ~ spl3_2
| ~ spl3_41 ),
inference(subsumption_resolution,[],[f1510,f506]) ).
fof(f1510,plain,
( n16 = sK2
| ~ spl3_2
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1509,f483]) ).
fof(f1509,plain,
( sum(n20,n17) = sK2
| ~ spl3_2
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1508,f25]) ).
fof(f1508,plain,
( sK2 = sum(pred(n0),n17)
| ~ spl3_2
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1507,f87]) ).
fof(f1507,plain,
( sK2 = sum(pred(sum(n1,n20)),n17)
| ~ spl3_2
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1506,f23]) ).
fof(f1506,plain,
( sK2 = sum(pred(sum(n1,succ(n19))),n17)
| ~ spl3_2
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1505,f464]) ).
fof(f1505,plain,
( sK2 = sum(pred(sum(n1,succ(n19))),sum(n19,n19))
| ~ spl3_2
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1504,f45]) ).
fof(f1504,plain,
( sK2 = sum(pred(sum(n1,succ(n19))),sum(n19,pred(n20)))
| ~ spl3_2
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1503,f86]) ).
fof(f1503,plain,
( sK2 = sum(pred(sum(n1,succ(n19))),sum(n19,pred(sum(n1,n19))))
| ~ spl3_2
| ~ spl3_41 ),
inference(forward_demodulation,[],[f1482,f728]) ).
fof(f1482,plain,
( sK2 = sum(pred(sum(sK0,succ(n19))),sum(n19,pred(sum(sK0,n19))))
| ~ spl3_41 ),
inference(superposition,[],[f489,f906]) ).
fof(f1481,plain,
( ~ spl3_2
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f1480]) ).
fof(f1480,plain,
( $false
| ~ spl3_2
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f1479,f503]) ).
fof(f1479,plain,
( n13 = sK2
| ~ spl3_2
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1478,f460]) ).
fof(f1478,plain,
( sum(n19,n15) = sK2
| ~ spl3_2
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1477,f45]) ).
fof(f1477,plain,
( sK2 = sum(pred(n20),n15)
| ~ spl3_2
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1476,f86]) ).
fof(f1476,plain,
( sK2 = sum(pred(sum(n1,n19)),n15)
| ~ spl3_2
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1475,f22]) ).
fof(f1475,plain,
( sK2 = sum(pred(sum(n1,succ(n18))),n15)
| ~ spl3_2
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1474,f442]) ).
fof(f1474,plain,
( sK2 = sum(pred(sum(n1,succ(n18))),sum(n18,n18))
| ~ spl3_2
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1473,f44]) ).
fof(f1473,plain,
( sK2 = sum(pred(sum(n1,succ(n18))),sum(n18,pred(n19)))
| ~ spl3_2
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1444,f85]) ).
fof(f1444,plain,
( sK2 = sum(pred(sum(n1,succ(n18))),sum(n18,pred(sum(n1,n18))))
| ~ spl3_2
| ~ spl3_40 ),
inference(superposition,[],[f807,f902]) ).
fof(f1472,plain,
( ~ spl3_2
| ~ spl3_40 ),
inference(avatar_contradiction_clause,[],[f1471]) ).
fof(f1471,plain,
( $false
| ~ spl3_2
| ~ spl3_40 ),
inference(subsumption_resolution,[],[f1470,f503]) ).
fof(f1470,plain,
( n13 = sK2
| ~ spl3_2
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1469,f460]) ).
fof(f1469,plain,
( sum(n19,n15) = sK2
| ~ spl3_2
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1468,f45]) ).
fof(f1468,plain,
( sK2 = sum(pred(n20),n15)
| ~ spl3_2
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1467,f86]) ).
fof(f1467,plain,
( sK2 = sum(pred(sum(n1,n19)),n15)
| ~ spl3_2
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1466,f22]) ).
fof(f1466,plain,
( sK2 = sum(pred(sum(n1,succ(n18))),n15)
| ~ spl3_2
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1465,f442]) ).
fof(f1465,plain,
( sK2 = sum(pred(sum(n1,succ(n18))),sum(n18,n18))
| ~ spl3_2
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1464,f44]) ).
fof(f1464,plain,
( sK2 = sum(pred(sum(n1,succ(n18))),sum(n18,pred(n19)))
| ~ spl3_2
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1463,f85]) ).
fof(f1463,plain,
( sK2 = sum(pred(sum(n1,succ(n18))),sum(n18,pred(sum(n1,n18))))
| ~ spl3_2
| ~ spl3_40 ),
inference(forward_demodulation,[],[f1443,f728]) ).
fof(f1443,plain,
( sK2 = sum(pred(sum(sK0,succ(n18))),sum(n18,pred(sum(sK0,n18))))
| ~ spl3_40 ),
inference(superposition,[],[f489,f902]) ).
fof(f1442,plain,
( ~ spl3_2
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f1441]) ).
fof(f1441,plain,
( $false
| ~ spl3_2
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f1440,f500]) ).
fof(f1440,plain,
( n10 = sK2
| ~ spl3_2
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1439,f437]) ).
fof(f1439,plain,
( sum(n18,n13) = sK2
| ~ spl3_2
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1438,f44]) ).
fof(f1438,plain,
( sK2 = sum(pred(n19),n13)
| ~ spl3_2
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1437,f85]) ).
fof(f1437,plain,
( sK2 = sum(pred(sum(n1,n18)),n13)
| ~ spl3_2
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1436,f21]) ).
fof(f1436,plain,
( sK2 = sum(pred(sum(n1,succ(n17))),n13)
| ~ spl3_2
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1435,f420]) ).
fof(f1435,plain,
( sK2 = sum(pred(sum(n1,succ(n17))),sum(n17,n17))
| ~ spl3_2
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1434,f43]) ).
fof(f1434,plain,
( sK2 = sum(pred(sum(n1,succ(n17))),sum(n17,pred(n18)))
| ~ spl3_2
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1406,f84]) ).
fof(f1406,plain,
( sK2 = sum(pred(sum(n1,succ(n17))),sum(n17,pred(sum(n1,n17))))
| ~ spl3_2
| ~ spl3_39 ),
inference(superposition,[],[f807,f898]) ).
fof(f1433,plain,
( ~ spl3_2
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f1432]) ).
fof(f1432,plain,
( $false
| ~ spl3_2
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f1431,f500]) ).
fof(f1431,plain,
( n10 = sK2
| ~ spl3_2
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1430,f437]) ).
fof(f1430,plain,
( sum(n18,n13) = sK2
| ~ spl3_2
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1429,f44]) ).
fof(f1429,plain,
( sK2 = sum(pred(n19),n13)
| ~ spl3_2
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1428,f85]) ).
fof(f1428,plain,
( sK2 = sum(pred(sum(n1,n18)),n13)
| ~ spl3_2
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1427,f21]) ).
fof(f1427,plain,
( sK2 = sum(pred(sum(n1,succ(n17))),n13)
| ~ spl3_2
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1426,f420]) ).
fof(f1426,plain,
( sK2 = sum(pred(sum(n1,succ(n17))),sum(n17,n17))
| ~ spl3_2
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1425,f43]) ).
fof(f1425,plain,
( sK2 = sum(pred(sum(n1,succ(n17))),sum(n17,pred(n18)))
| ~ spl3_2
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1424,f84]) ).
fof(f1424,plain,
( sK2 = sum(pred(sum(n1,succ(n17))),sum(n17,pred(sum(n1,n17))))
| ~ spl3_2
| ~ spl3_39 ),
inference(forward_demodulation,[],[f1405,f728]) ).
fof(f1405,plain,
( sK2 = sum(pred(sum(sK0,succ(n17))),sum(n17,pred(sum(sK0,n17))))
| ~ spl3_39 ),
inference(superposition,[],[f489,f898]) ).
fof(f1404,plain,
( ~ spl3_2
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f1403]) ).
fof(f1403,plain,
( $false
| ~ spl3_2
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f1402,f497]) ).
fof(f1402,plain,
( n7 = sK2
| ~ spl3_2
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1401,f414]) ).
fof(f1401,plain,
( sum(n17,n11) = sK2
| ~ spl3_2
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1400,f43]) ).
fof(f1400,plain,
( sK2 = sum(pred(n18),n11)
| ~ spl3_2
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1399,f84]) ).
fof(f1399,plain,
( sK2 = sum(pred(sum(n1,n17)),n11)
| ~ spl3_2
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1398,f20]) ).
fof(f1398,plain,
( sK2 = sum(pred(sum(n1,succ(n16))),n11)
| ~ spl3_2
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1397,f398]) ).
fof(f1397,plain,
( sK2 = sum(pred(sum(n1,succ(n16))),sum(n16,n16))
| ~ spl3_2
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1396,f42]) ).
fof(f1396,plain,
( sK2 = sum(pred(sum(n1,succ(n16))),sum(n16,pred(n17)))
| ~ spl3_2
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1369,f83]) ).
fof(f1369,plain,
( sK2 = sum(pred(sum(n1,succ(n16))),sum(n16,pred(sum(n1,n16))))
| ~ spl3_2
| ~ spl3_38 ),
inference(superposition,[],[f807,f894]) ).
fof(f1395,plain,
( ~ spl3_2
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f1394]) ).
fof(f1394,plain,
( $false
| ~ spl3_2
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f1393,f497]) ).
fof(f1393,plain,
( n7 = sK2
| ~ spl3_2
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1392,f414]) ).
fof(f1392,plain,
( sum(n17,n11) = sK2
| ~ spl3_2
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1391,f43]) ).
fof(f1391,plain,
( sK2 = sum(pred(n18),n11)
| ~ spl3_2
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1390,f84]) ).
fof(f1390,plain,
( sK2 = sum(pred(sum(n1,n17)),n11)
| ~ spl3_2
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1389,f20]) ).
fof(f1389,plain,
( sK2 = sum(pred(sum(n1,succ(n16))),n11)
| ~ spl3_2
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1388,f398]) ).
fof(f1388,plain,
( sK2 = sum(pred(sum(n1,succ(n16))),sum(n16,n16))
| ~ spl3_2
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1387,f42]) ).
fof(f1387,plain,
( sK2 = sum(pred(sum(n1,succ(n16))),sum(n16,pred(n17)))
| ~ spl3_2
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1386,f83]) ).
fof(f1386,plain,
( sK2 = sum(pred(sum(n1,succ(n16))),sum(n16,pred(sum(n1,n16))))
| ~ spl3_2
| ~ spl3_38 ),
inference(forward_demodulation,[],[f1368,f728]) ).
fof(f1368,plain,
( sK2 = sum(pred(sum(sK0,succ(n16))),sum(n16,pred(sum(sK0,n16))))
| ~ spl3_38 ),
inference(superposition,[],[f489,f894]) ).
fof(f1367,plain,
( ~ spl3_2
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f1366]) ).
fof(f1366,plain,
( $false
| ~ spl3_2
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f1365,f494]) ).
fof(f1365,plain,
( n4 = sK2
| ~ spl3_2
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1364,f391]) ).
fof(f1364,plain,
( sum(n16,n9) = sK2
| ~ spl3_2
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1363,f42]) ).
fof(f1363,plain,
( sK2 = sum(pred(n17),n9)
| ~ spl3_2
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1362,f83]) ).
fof(f1362,plain,
( sK2 = sum(pred(sum(n1,n16)),n9)
| ~ spl3_2
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1361,f19]) ).
fof(f1361,plain,
( sK2 = sum(pred(sum(n1,succ(n15))),n9)
| ~ spl3_2
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1360,f376]) ).
fof(f1360,plain,
( sK2 = sum(pred(sum(n1,succ(n15))),sum(n15,n15))
| ~ spl3_2
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1359,f41]) ).
fof(f1359,plain,
( sK2 = sum(pred(sum(n1,succ(n15))),sum(n15,pred(n16)))
| ~ spl3_2
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1333,f82]) ).
fof(f1333,plain,
( sK2 = sum(pred(sum(n1,succ(n15))),sum(n15,pred(sum(n1,n15))))
| ~ spl3_2
| ~ spl3_37 ),
inference(superposition,[],[f807,f890]) ).
fof(f1358,plain,
( ~ spl3_2
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f1357]) ).
fof(f1357,plain,
( $false
| ~ spl3_2
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f1356,f494]) ).
fof(f1356,plain,
( n4 = sK2
| ~ spl3_2
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1355,f391]) ).
fof(f1355,plain,
( sum(n16,n9) = sK2
| ~ spl3_2
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1354,f42]) ).
fof(f1354,plain,
( sK2 = sum(pred(n17),n9)
| ~ spl3_2
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1353,f83]) ).
fof(f1353,plain,
( sK2 = sum(pred(sum(n1,n16)),n9)
| ~ spl3_2
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1352,f19]) ).
fof(f1352,plain,
( sK2 = sum(pred(sum(n1,succ(n15))),n9)
| ~ spl3_2
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1351,f376]) ).
fof(f1351,plain,
( sK2 = sum(pred(sum(n1,succ(n15))),sum(n15,n15))
| ~ spl3_2
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1350,f41]) ).
fof(f1350,plain,
( sK2 = sum(pred(sum(n1,succ(n15))),sum(n15,pred(n16)))
| ~ spl3_2
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1349,f82]) ).
fof(f1349,plain,
( sK2 = sum(pred(sum(n1,succ(n15))),sum(n15,pred(sum(n1,n15))))
| ~ spl3_2
| ~ spl3_37 ),
inference(forward_demodulation,[],[f1332,f728]) ).
fof(f1332,plain,
( sK2 = sum(pred(sum(sK0,succ(n15))),sum(n15,pred(sum(sK0,n15))))
| ~ spl3_37 ),
inference(superposition,[],[f489,f890]) ).
fof(f1331,plain,
( ~ spl3_2
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f1330]) ).
fof(f1330,plain,
( $false
| ~ spl3_2
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f1329,f491]) ).
fof(f1329,plain,
( n1 = sK2
| ~ spl3_2
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1328,f368]) ).
fof(f1328,plain,
( sum(n15,n7) = sK2
| ~ spl3_2
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1327,f41]) ).
fof(f1327,plain,
( sK2 = sum(pred(n16),n7)
| ~ spl3_2
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1326,f82]) ).
fof(f1326,plain,
( sK2 = sum(pred(sum(n1,n15)),n7)
| ~ spl3_2
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1325,f18]) ).
fof(f1325,plain,
( sK2 = sum(pred(sum(n1,succ(n14))),n7)
| ~ spl3_2
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1324,f354]) ).
fof(f1324,plain,
( sK2 = sum(pred(sum(n1,succ(n14))),sum(n14,n14))
| ~ spl3_2
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1323,f40]) ).
fof(f1323,plain,
( sK2 = sum(pred(sum(n1,succ(n14))),sum(n14,pred(n15)))
| ~ spl3_2
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1298,f81]) ).
fof(f1298,plain,
( sK2 = sum(pred(sum(n1,succ(n14))),sum(n14,pred(sum(n1,n14))))
| ~ spl3_2
| ~ spl3_36 ),
inference(superposition,[],[f807,f886]) ).
fof(f1322,plain,
( ~ spl3_2
| ~ spl3_36 ),
inference(avatar_contradiction_clause,[],[f1321]) ).
fof(f1321,plain,
( $false
| ~ spl3_2
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f1320,f491]) ).
fof(f1320,plain,
( n1 = sK2
| ~ spl3_2
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1319,f368]) ).
fof(f1319,plain,
( sum(n15,n7) = sK2
| ~ spl3_2
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1318,f41]) ).
fof(f1318,plain,
( sK2 = sum(pred(n16),n7)
| ~ spl3_2
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1317,f82]) ).
fof(f1317,plain,
( sK2 = sum(pred(sum(n1,n15)),n7)
| ~ spl3_2
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1316,f18]) ).
fof(f1316,plain,
( sK2 = sum(pred(sum(n1,succ(n14))),n7)
| ~ spl3_2
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1315,f354]) ).
fof(f1315,plain,
( sK2 = sum(pred(sum(n1,succ(n14))),sum(n14,n14))
| ~ spl3_2
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1314,f40]) ).
fof(f1314,plain,
( sK2 = sum(pred(sum(n1,succ(n14))),sum(n14,pred(n15)))
| ~ spl3_2
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1313,f81]) ).
fof(f1313,plain,
( sK2 = sum(pred(sum(n1,succ(n14))),sum(n14,pred(sum(n1,n14))))
| ~ spl3_2
| ~ spl3_36 ),
inference(forward_demodulation,[],[f1297,f728]) ).
fof(f1297,plain,
( sK2 = sum(pred(sum(sK0,succ(n14))),sum(n14,pred(sum(sK0,n14))))
| ~ spl3_36 ),
inference(superposition,[],[f489,f886]) ).
fof(f1296,plain,
( ~ spl3_2
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f1295]) ).
fof(f1295,plain,
( $false
| ~ spl3_2
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f1294,f509]) ).
fof(f1294,plain,
( n19 = sK2
| ~ spl3_2
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1293,f345]) ).
fof(f1293,plain,
( sum(n14,n5) = sK2
| ~ spl3_2
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1292,f40]) ).
fof(f1292,plain,
( sK2 = sum(pred(n15),n5)
| ~ spl3_2
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1291,f81]) ).
fof(f1291,plain,
( sK2 = sum(pred(sum(n1,n14)),n5)
| ~ spl3_2
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1290,f17]) ).
fof(f1290,plain,
( sK2 = sum(pred(sum(n1,succ(n13))),n5)
| ~ spl3_2
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1289,f332]) ).
fof(f1289,plain,
( sK2 = sum(pred(sum(n1,succ(n13))),sum(n13,n13))
| ~ spl3_2
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1288,f39]) ).
fof(f1288,plain,
( sK2 = sum(pred(sum(n1,succ(n13))),sum(n13,pred(n14)))
| ~ spl3_2
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1264,f80]) ).
fof(f1264,plain,
( sK2 = sum(pred(sum(n1,succ(n13))),sum(n13,pred(sum(n1,n13))))
| ~ spl3_2
| ~ spl3_35 ),
inference(superposition,[],[f807,f882]) ).
fof(f1287,plain,
( ~ spl3_2
| ~ spl3_35 ),
inference(avatar_contradiction_clause,[],[f1286]) ).
fof(f1286,plain,
( $false
| ~ spl3_2
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f1285,f509]) ).
fof(f1285,plain,
( n19 = sK2
| ~ spl3_2
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1284,f345]) ).
fof(f1284,plain,
( sum(n14,n5) = sK2
| ~ spl3_2
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1283,f40]) ).
fof(f1283,plain,
( sK2 = sum(pred(n15),n5)
| ~ spl3_2
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1282,f81]) ).
fof(f1282,plain,
( sK2 = sum(pred(sum(n1,n14)),n5)
| ~ spl3_2
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1281,f17]) ).
fof(f1281,plain,
( sK2 = sum(pred(sum(n1,succ(n13))),n5)
| ~ spl3_2
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1280,f332]) ).
fof(f1280,plain,
( sK2 = sum(pred(sum(n1,succ(n13))),sum(n13,n13))
| ~ spl3_2
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1279,f39]) ).
fof(f1279,plain,
( sK2 = sum(pred(sum(n1,succ(n13))),sum(n13,pred(n14)))
| ~ spl3_2
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1278,f80]) ).
fof(f1278,plain,
( sK2 = sum(pred(sum(n1,succ(n13))),sum(n13,pred(sum(n1,n13))))
| ~ spl3_2
| ~ spl3_35 ),
inference(forward_demodulation,[],[f1263,f728]) ).
fof(f1263,plain,
( sK2 = sum(pred(sum(sK0,succ(n13))),sum(n13,pred(sum(sK0,n13))))
| ~ spl3_35 ),
inference(superposition,[],[f489,f882]) ).
fof(f1262,plain,
( ~ spl3_2
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f1261]) ).
fof(f1261,plain,
( $false
| ~ spl3_2
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f1260,f506]) ).
fof(f1260,plain,
( n16 = sK2
| ~ spl3_2
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1259,f322]) ).
fof(f1259,plain,
( sum(n13,n3) = sK2
| ~ spl3_2
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1258,f39]) ).
fof(f1258,plain,
( sK2 = sum(pred(n14),n3)
| ~ spl3_2
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1257,f80]) ).
fof(f1257,plain,
( sK2 = sum(pred(sum(n1,n13)),n3)
| ~ spl3_2
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1256,f16]) ).
fof(f1256,plain,
( sK2 = sum(pred(sum(n1,succ(n12))),n3)
| ~ spl3_2
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1255,f310]) ).
fof(f1255,plain,
( sK2 = sum(pred(sum(n1,succ(n12))),sum(n12,n12))
| ~ spl3_2
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1254,f38]) ).
fof(f1254,plain,
( sK2 = sum(pred(sum(n1,succ(n12))),sum(n12,pred(n13)))
| ~ spl3_2
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1231,f79]) ).
fof(f1231,plain,
( sK2 = sum(pred(sum(n1,succ(n12))),sum(n12,pred(sum(n1,n12))))
| ~ spl3_2
| ~ spl3_34 ),
inference(superposition,[],[f807,f878]) ).
fof(f1253,plain,
( ~ spl3_2
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f1252]) ).
fof(f1252,plain,
( $false
| ~ spl3_2
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f1251,f506]) ).
fof(f1251,plain,
( n16 = sK2
| ~ spl3_2
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1250,f322]) ).
fof(f1250,plain,
( sum(n13,n3) = sK2
| ~ spl3_2
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1249,f39]) ).
fof(f1249,plain,
( sK2 = sum(pred(n14),n3)
| ~ spl3_2
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1248,f80]) ).
fof(f1248,plain,
( sK2 = sum(pred(sum(n1,n13)),n3)
| ~ spl3_2
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1247,f16]) ).
fof(f1247,plain,
( sK2 = sum(pred(sum(n1,succ(n12))),n3)
| ~ spl3_2
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1246,f310]) ).
fof(f1246,plain,
( sK2 = sum(pred(sum(n1,succ(n12))),sum(n12,n12))
| ~ spl3_2
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1245,f38]) ).
fof(f1245,plain,
( sK2 = sum(pred(sum(n1,succ(n12))),sum(n12,pred(n13)))
| ~ spl3_2
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1244,f79]) ).
fof(f1244,plain,
( sK2 = sum(pred(sum(n1,succ(n12))),sum(n12,pred(sum(n1,n12))))
| ~ spl3_2
| ~ spl3_34 ),
inference(forward_demodulation,[],[f1230,f728]) ).
fof(f1230,plain,
( sK2 = sum(pred(sum(sK0,succ(n12))),sum(n12,pred(sum(sK0,n12))))
| ~ spl3_34 ),
inference(superposition,[],[f489,f878]) ).
fof(f1229,plain,
( ~ spl3_2
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f1228]) ).
fof(f1228,plain,
( $false
| ~ spl3_2
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f1227,f503]) ).
fof(f1227,plain,
( n13 = sK2
| ~ spl3_2
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1226,f299]) ).
fof(f1226,plain,
( sum(n12,n1) = sK2
| ~ spl3_2
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1225,f38]) ).
fof(f1225,plain,
( sK2 = sum(pred(n13),n1)
| ~ spl3_2
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1224,f79]) ).
fof(f1224,plain,
( sK2 = sum(pred(sum(n1,n12)),n1)
| ~ spl3_2
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1223,f15]) ).
fof(f1223,plain,
( sK2 = sum(pred(sum(n1,succ(n11))),n1)
| ~ spl3_2
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1222,f288]) ).
fof(f1222,plain,
( sK2 = sum(pred(sum(n1,succ(n11))),sum(n11,n11))
| ~ spl3_2
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1221,f37]) ).
fof(f1221,plain,
( sK2 = sum(pred(sum(n1,succ(n11))),sum(n11,pred(n12)))
| ~ spl3_2
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1199,f78]) ).
fof(f1199,plain,
( sK2 = sum(pred(sum(n1,succ(n11))),sum(n11,pred(sum(n1,n11))))
| ~ spl3_2
| ~ spl3_33 ),
inference(superposition,[],[f807,f874]) ).
fof(f1220,plain,
( ~ spl3_2
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f1219]) ).
fof(f1219,plain,
( $false
| ~ spl3_2
| ~ spl3_33 ),
inference(subsumption_resolution,[],[f1218,f503]) ).
fof(f1218,plain,
( n13 = sK2
| ~ spl3_2
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1217,f299]) ).
fof(f1217,plain,
( sum(n12,n1) = sK2
| ~ spl3_2
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1216,f38]) ).
fof(f1216,plain,
( sK2 = sum(pred(n13),n1)
| ~ spl3_2
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1215,f79]) ).
fof(f1215,plain,
( sK2 = sum(pred(sum(n1,n12)),n1)
| ~ spl3_2
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1214,f15]) ).
fof(f1214,plain,
( sK2 = sum(pred(sum(n1,succ(n11))),n1)
| ~ spl3_2
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1213,f288]) ).
fof(f1213,plain,
( sK2 = sum(pred(sum(n1,succ(n11))),sum(n11,n11))
| ~ spl3_2
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1212,f37]) ).
fof(f1212,plain,
( sK2 = sum(pred(sum(n1,succ(n11))),sum(n11,pred(n12)))
| ~ spl3_2
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1211,f78]) ).
fof(f1211,plain,
( sK2 = sum(pred(sum(n1,succ(n11))),sum(n11,pred(sum(n1,n11))))
| ~ spl3_2
| ~ spl3_33 ),
inference(forward_demodulation,[],[f1198,f728]) ).
fof(f1198,plain,
( sK2 = sum(pred(sum(sK0,succ(n11))),sum(n11,pred(sum(sK0,n11))))
| ~ spl3_33 ),
inference(superposition,[],[f489,f874]) ).
fof(f1197,plain,
( ~ spl3_2
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f1196]) ).
fof(f1196,plain,
( $false
| ~ spl3_2
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f1195,f500]) ).
fof(f1195,plain,
( n10 = sK2
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1194,f297]) ).
fof(f1194,plain,
( sum(n11,n20) = sK2
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1193,f37]) ).
fof(f1193,plain,
( sK2 = sum(pred(n12),n20)
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1192,f78]) ).
fof(f1192,plain,
( sK2 = sum(pred(sum(n1,n11)),n20)
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1191,f14]) ).
fof(f1191,plain,
( sK2 = sum(pred(sum(n1,succ(n10))),n20)
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1190,f266]) ).
fof(f1190,plain,
( sK2 = sum(pred(sum(n1,succ(n10))),sum(n10,n10))
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1189,f36]) ).
fof(f1189,plain,
( sK2 = sum(pred(sum(n1,succ(n10))),sum(n10,pred(n11)))
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1168,f77]) ).
fof(f1168,plain,
( sK2 = sum(pred(sum(n1,succ(n10))),sum(n10,pred(sum(n1,n10))))
| ~ spl3_2
| ~ spl3_32 ),
inference(superposition,[],[f807,f870]) ).
fof(f1188,plain,
( ~ spl3_2
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f1187]) ).
fof(f1187,plain,
( $false
| ~ spl3_2
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f1186,f500]) ).
fof(f1186,plain,
( n10 = sK2
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1185,f297]) ).
fof(f1185,plain,
( sum(n11,n20) = sK2
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1184,f37]) ).
fof(f1184,plain,
( sK2 = sum(pred(n12),n20)
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1183,f78]) ).
fof(f1183,plain,
( sK2 = sum(pred(sum(n1,n11)),n20)
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1182,f14]) ).
fof(f1182,plain,
( sK2 = sum(pred(sum(n1,succ(n10))),n20)
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1181,f266]) ).
fof(f1181,plain,
( sK2 = sum(pred(sum(n1,succ(n10))),sum(n10,n10))
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1180,f36]) ).
fof(f1180,plain,
( sK2 = sum(pred(sum(n1,succ(n10))),sum(n10,pred(n11)))
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1179,f77]) ).
fof(f1179,plain,
( sK2 = sum(pred(sum(n1,succ(n10))),sum(n10,pred(sum(n1,n10))))
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1167,f728]) ).
fof(f1167,plain,
( sK2 = sum(pred(sum(sK0,succ(n10))),sum(n10,pred(sum(sK0,n10))))
| ~ spl3_32 ),
inference(superposition,[],[f489,f870]) ).
fof(f1166,plain,
( ~ spl3_2
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f1165]) ).
fof(f1165,plain,
( $false
| ~ spl3_2
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f1164,f497]) ).
fof(f1164,plain,
( n7 = sK2
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1163,f274]) ).
fof(f1163,plain,
( sum(n10,n18) = sK2
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1162,f36]) ).
fof(f1162,plain,
( sK2 = sum(pred(n11),n18)
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1161,f77]) ).
fof(f1161,plain,
( sK2 = sum(pred(sum(n1,n10)),n18)
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1160,f13]) ).
fof(f1160,plain,
( sK2 = sum(pred(sum(n1,succ(n9))),n18)
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1159,f244]) ).
fof(f1159,plain,
( sK2 = sum(pred(sum(n1,succ(n9))),sum(n9,n9))
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1158,f35]) ).
fof(f1158,plain,
( sK2 = sum(pred(sum(n1,succ(n9))),sum(n9,pred(n10)))
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1138,f76]) ).
fof(f1138,plain,
( sK2 = sum(pred(sum(n1,succ(n9))),sum(n9,pred(sum(n1,n9))))
| ~ spl3_2
| ~ spl3_31 ),
inference(superposition,[],[f807,f866]) ).
fof(f1157,plain,
( ~ spl3_2
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f1156]) ).
fof(f1156,plain,
( $false
| ~ spl3_2
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f1155,f497]) ).
fof(f1155,plain,
( n7 = sK2
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1154,f274]) ).
fof(f1154,plain,
( sum(n10,n18) = sK2
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1153,f36]) ).
fof(f1153,plain,
( sK2 = sum(pred(n11),n18)
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1152,f77]) ).
fof(f1152,plain,
( sK2 = sum(pred(sum(n1,n10)),n18)
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1151,f13]) ).
fof(f1151,plain,
( sK2 = sum(pred(sum(n1,succ(n9))),n18)
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1150,f244]) ).
fof(f1150,plain,
( sK2 = sum(pred(sum(n1,succ(n9))),sum(n9,n9))
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1149,f35]) ).
fof(f1149,plain,
( sK2 = sum(pred(sum(n1,succ(n9))),sum(n9,pred(n10)))
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1148,f76]) ).
fof(f1148,plain,
( sK2 = sum(pred(sum(n1,succ(n9))),sum(n9,pred(sum(n1,n9))))
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f1137,f728]) ).
fof(f1137,plain,
( sK2 = sum(pred(sum(sK0,succ(n9))),sum(n9,pred(sum(sK0,n9))))
| ~ spl3_31 ),
inference(superposition,[],[f489,f866]) ).
fof(f1136,plain,
( ~ spl3_2
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f1135]) ).
fof(f1135,plain,
( $false
| ~ spl3_2
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f1134,f494]) ).
fof(f1134,plain,
( n4 = sK2
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1133,f251]) ).
fof(f1133,plain,
( sum(n9,n16) = sK2
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1132,f35]) ).
fof(f1132,plain,
( sK2 = sum(pred(n10),n16)
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1131,f76]) ).
fof(f1131,plain,
( sK2 = sum(pred(sum(n1,n9)),n16)
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1130,f12]) ).
fof(f1130,plain,
( sK2 = sum(pred(sum(n1,succ(n8))),n16)
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1129,f222]) ).
fof(f1129,plain,
( sK2 = sum(pred(sum(n1,succ(n8))),sum(n8,n8))
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1128,f34]) ).
fof(f1128,plain,
( sK2 = sum(pred(sum(n1,succ(n8))),sum(n8,pred(n9)))
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1109,f75]) ).
fof(f1109,plain,
( sK2 = sum(pred(sum(n1,succ(n8))),sum(n8,pred(sum(n1,n8))))
| ~ spl3_2
| ~ spl3_30 ),
inference(superposition,[],[f807,f862]) ).
fof(f1127,plain,
( ~ spl3_2
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f1126]) ).
fof(f1126,plain,
( $false
| ~ spl3_2
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f1125,f494]) ).
fof(f1125,plain,
( n4 = sK2
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1124,f251]) ).
fof(f1124,plain,
( sum(n9,n16) = sK2
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1123,f35]) ).
fof(f1123,plain,
( sK2 = sum(pred(n10),n16)
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1122,f76]) ).
fof(f1122,plain,
( sK2 = sum(pred(sum(n1,n9)),n16)
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1121,f12]) ).
fof(f1121,plain,
( sK2 = sum(pred(sum(n1,succ(n8))),n16)
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1120,f222]) ).
fof(f1120,plain,
( sK2 = sum(pred(sum(n1,succ(n8))),sum(n8,n8))
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1119,f34]) ).
fof(f1119,plain,
( sK2 = sum(pred(sum(n1,succ(n8))),sum(n8,pred(n9)))
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1118,f75]) ).
fof(f1118,plain,
( sK2 = sum(pred(sum(n1,succ(n8))),sum(n8,pred(sum(n1,n8))))
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1108,f728]) ).
fof(f1108,plain,
( sK2 = sum(pred(sum(sK0,succ(n8))),sum(n8,pred(sum(sK0,n8))))
| ~ spl3_30 ),
inference(superposition,[],[f489,f862]) ).
fof(f1107,plain,
( ~ spl3_2
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f1106]) ).
fof(f1106,plain,
( $false
| ~ spl3_2
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f1105,f491]) ).
fof(f1105,plain,
( n1 = sK2
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1104,f228]) ).
fof(f1104,plain,
( sum(n8,n14) = sK2
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1103,f34]) ).
fof(f1103,plain,
( sK2 = sum(pred(n9),n14)
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1102,f75]) ).
fof(f1102,plain,
( sK2 = sum(pred(sum(n1,n8)),n14)
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1101,f11]) ).
fof(f1101,plain,
( sK2 = sum(pred(sum(n1,succ(n7))),n14)
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1100,f200]) ).
fof(f1100,plain,
( sK2 = sum(pred(sum(n1,succ(n7))),sum(n7,n7))
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1099,f33]) ).
fof(f1099,plain,
( sK2 = sum(pred(sum(n1,succ(n7))),sum(n7,pred(n8)))
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1081,f74]) ).
fof(f1081,plain,
( sK2 = sum(pred(sum(n1,succ(n7))),sum(n7,pred(sum(n1,n7))))
| ~ spl3_2
| ~ spl3_29 ),
inference(superposition,[],[f807,f858]) ).
fof(f1098,plain,
( ~ spl3_2
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f1097]) ).
fof(f1097,plain,
( $false
| ~ spl3_2
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f1096,f491]) ).
fof(f1096,plain,
( n1 = sK2
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1095,f228]) ).
fof(f1095,plain,
( sum(n8,n14) = sK2
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1094,f34]) ).
fof(f1094,plain,
( sK2 = sum(pred(n9),n14)
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1093,f75]) ).
fof(f1093,plain,
( sK2 = sum(pred(sum(n1,n8)),n14)
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1092,f11]) ).
fof(f1092,plain,
( sK2 = sum(pred(sum(n1,succ(n7))),n14)
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1091,f200]) ).
fof(f1091,plain,
( sK2 = sum(pred(sum(n1,succ(n7))),sum(n7,n7))
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1090,f33]) ).
fof(f1090,plain,
( sK2 = sum(pred(sum(n1,succ(n7))),sum(n7,pred(n8)))
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1089,f74]) ).
fof(f1089,plain,
( sK2 = sum(pred(sum(n1,succ(n7))),sum(n7,pred(sum(n1,n7))))
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1080,f728]) ).
fof(f1080,plain,
( sK2 = sum(pred(sum(sK0,succ(n7))),sum(n7,pred(sum(sK0,n7))))
| ~ spl3_29 ),
inference(superposition,[],[f489,f858]) ).
fof(f1079,plain,
( ~ spl3_2
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f1078]) ).
fof(f1078,plain,
( $false
| ~ spl3_2
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f1077,f509]) ).
fof(f1077,plain,
( n19 = sK2
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1076,f205]) ).
fof(f1076,plain,
( sum(n7,n12) = sK2
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1075,f33]) ).
fof(f1075,plain,
( sK2 = sum(pred(n8),n12)
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1074,f74]) ).
fof(f1074,plain,
( sK2 = sum(pred(sum(n1,n7)),n12)
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1073,f10]) ).
fof(f1073,plain,
( sK2 = sum(pred(sum(n1,succ(n6))),n12)
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1072,f178]) ).
fof(f1072,plain,
( sK2 = sum(pred(sum(n1,succ(n6))),sum(n6,n6))
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1071,f32]) ).
fof(f1071,plain,
( sK2 = sum(pred(sum(n1,succ(n6))),sum(n6,pred(n7)))
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1054,f73]) ).
fof(f1054,plain,
( sK2 = sum(pred(sum(n1,succ(n6))),sum(n6,pred(sum(n1,n6))))
| ~ spl3_2
| ~ spl3_28 ),
inference(superposition,[],[f807,f854]) ).
fof(f1070,plain,
( ~ spl3_2
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f1069]) ).
fof(f1069,plain,
( $false
| ~ spl3_2
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f1068,f509]) ).
fof(f1068,plain,
( n19 = sK2
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1067,f205]) ).
fof(f1067,plain,
( sum(n7,n12) = sK2
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1066,f33]) ).
fof(f1066,plain,
( sK2 = sum(pred(n8),n12)
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1065,f74]) ).
fof(f1065,plain,
( sK2 = sum(pred(sum(n1,n7)),n12)
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1064,f10]) ).
fof(f1064,plain,
( sK2 = sum(pred(sum(n1,succ(n6))),n12)
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1063,f178]) ).
fof(f1063,plain,
( sK2 = sum(pred(sum(n1,succ(n6))),sum(n6,n6))
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1062,f32]) ).
fof(f1062,plain,
( sK2 = sum(pred(sum(n1,succ(n6))),sum(n6,pred(n7)))
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1061,f73]) ).
fof(f1061,plain,
( sK2 = sum(pred(sum(n1,succ(n6))),sum(n6,pred(sum(n1,n6))))
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1053,f728]) ).
fof(f1053,plain,
( sK2 = sum(pred(sum(sK0,succ(n6))),sum(n6,pred(sum(sK0,n6))))
| ~ spl3_28 ),
inference(superposition,[],[f489,f854]) ).
fof(f1052,plain,
( ~ spl3_2
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f1051]) ).
fof(f1051,plain,
( $false
| ~ spl3_2
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f1050,f506]) ).
fof(f1050,plain,
( n16 = sK2
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1049,f182]) ).
fof(f1049,plain,
( sum(n6,n10) = sK2
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1048,f32]) ).
fof(f1048,plain,
( sK2 = sum(pred(n7),n10)
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1047,f73]) ).
fof(f1047,plain,
( sK2 = sum(pred(sum(n1,n6)),n10)
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1046,f9]) ).
fof(f1046,plain,
( sK2 = sum(pred(sum(n1,succ(n5))),n10)
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1045,f156]) ).
fof(f1045,plain,
( sK2 = sum(pred(sum(n1,succ(n5))),sum(n5,n5))
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1044,f31]) ).
fof(f1044,plain,
( sK2 = sum(pred(sum(n1,succ(n5))),sum(n5,pred(n6)))
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1028,f72]) ).
fof(f1028,plain,
( sK2 = sum(pred(sum(n1,succ(n5))),sum(n5,pred(sum(n1,n5))))
| ~ spl3_2
| ~ spl3_27 ),
inference(superposition,[],[f807,f850]) ).
fof(f1043,plain,
( ~ spl3_2
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f1042]) ).
fof(f1042,plain,
( $false
| ~ spl3_2
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f1041,f506]) ).
fof(f1041,plain,
( n16 = sK2
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1040,f182]) ).
fof(f1040,plain,
( sum(n6,n10) = sK2
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1039,f32]) ).
fof(f1039,plain,
( sK2 = sum(pred(n7),n10)
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1038,f73]) ).
fof(f1038,plain,
( sK2 = sum(pred(sum(n1,n6)),n10)
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1037,f9]) ).
fof(f1037,plain,
( sK2 = sum(pred(sum(n1,succ(n5))),n10)
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1036,f156]) ).
fof(f1036,plain,
( sK2 = sum(pred(sum(n1,succ(n5))),sum(n5,n5))
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1035,f31]) ).
fof(f1035,plain,
( sK2 = sum(pred(sum(n1,succ(n5))),sum(n5,pred(n6)))
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1034,f72]) ).
fof(f1034,plain,
( sK2 = sum(pred(sum(n1,succ(n5))),sum(n5,pred(sum(n1,n5))))
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1027,f728]) ).
fof(f1027,plain,
( sK2 = sum(pred(sum(sK0,succ(n5))),sum(n5,pred(sum(sK0,n5))))
| ~ spl3_27 ),
inference(superposition,[],[f489,f850]) ).
fof(f1026,plain,
( ~ spl3_2
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f1025]) ).
fof(f1025,plain,
( $false
| ~ spl3_2
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f1024,f503]) ).
fof(f1024,plain,
( n13 = sK2
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1023,f159]) ).
fof(f1023,plain,
( sum(n5,n8) = sK2
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1022,f31]) ).
fof(f1022,plain,
( sK2 = sum(pred(n6),n8)
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1021,f72]) ).
fof(f1021,plain,
( sK2 = sum(pred(sum(n1,n5)),n8)
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1020,f8]) ).
fof(f1020,plain,
( sK2 = sum(pred(sum(n1,succ(n4))),n8)
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1019,f134]) ).
fof(f1019,plain,
( sK2 = sum(pred(sum(n1,succ(n4))),sum(n4,n4))
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1018,f30]) ).
fof(f1018,plain,
( sK2 = sum(pred(sum(n1,succ(n4))),sum(n4,pred(n5)))
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1003,f71]) ).
fof(f1003,plain,
( sK2 = sum(pred(sum(n1,succ(n4))),sum(n4,pred(sum(n1,n4))))
| ~ spl3_2
| ~ spl3_26 ),
inference(superposition,[],[f807,f846]) ).
fof(f1017,plain,
( ~ spl3_2
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f1016]) ).
fof(f1016,plain,
( $false
| ~ spl3_2
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f1015,f503]) ).
fof(f1015,plain,
( n13 = sK2
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1014,f159]) ).
fof(f1014,plain,
( sum(n5,n8) = sK2
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1013,f31]) ).
fof(f1013,plain,
( sK2 = sum(pred(n6),n8)
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1012,f72]) ).
fof(f1012,plain,
( sK2 = sum(pred(sum(n1,n5)),n8)
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1011,f8]) ).
fof(f1011,plain,
( sK2 = sum(pred(sum(n1,succ(n4))),n8)
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1010,f134]) ).
fof(f1010,plain,
( sK2 = sum(pred(sum(n1,succ(n4))),sum(n4,n4))
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1009,f30]) ).
fof(f1009,plain,
( sK2 = sum(pred(sum(n1,succ(n4))),sum(n4,pred(n5)))
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1008,f71]) ).
fof(f1008,plain,
( sK2 = sum(pred(sum(n1,succ(n4))),sum(n4,pred(sum(n1,n4))))
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1002,f728]) ).
fof(f1002,plain,
( sK2 = sum(pred(sum(sK0,succ(n4))),sum(n4,pred(sum(sK0,n4))))
| ~ spl3_26 ),
inference(superposition,[],[f489,f846]) ).
fof(f1001,plain,
( ~ spl3_2
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f1000]) ).
fof(f1000,plain,
( $false
| ~ spl3_2
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f999,f500]) ).
fof(f999,plain,
( n10 = sK2
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f998,f136]) ).
fof(f998,plain,
( sum(n4,n6) = sK2
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f997,f30]) ).
fof(f997,plain,
( sK2 = sum(pred(n5),n6)
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f996,f71]) ).
fof(f996,plain,
( sK2 = sum(pred(sum(n1,n4)),n6)
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f995,f7]) ).
fof(f995,plain,
( sK2 = sum(pred(sum(n1,succ(n3))),n6)
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f994,f112]) ).
fof(f994,plain,
( sK2 = sum(pred(sum(n1,succ(n3))),sum(n3,n3))
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f993,f29]) ).
fof(f993,plain,
( sK2 = sum(pred(sum(n1,succ(n3))),sum(n3,pred(n4)))
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f992,f70]) ).
fof(f992,plain,
( sK2 = sum(pred(sum(n1,succ(n3))),sum(n3,pred(sum(n1,n3))))
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f982,f728]) ).
fof(f982,plain,
( sK2 = sum(pred(sum(sK0,succ(n3))),sum(n3,pred(sum(sK0,n3))))
| ~ spl3_25 ),
inference(superposition,[],[f489,f842]) ).
fof(f991,plain,
( ~ spl3_2
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f990]) ).
fof(f990,plain,
( $false
| ~ spl3_2
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f989,f500]) ).
fof(f989,plain,
( n10 = sK2
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f988,f136]) ).
fof(f988,plain,
( sum(n4,n6) = sK2
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f987,f30]) ).
fof(f987,plain,
( sK2 = sum(pred(n5),n6)
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f986,f71]) ).
fof(f986,plain,
( sK2 = sum(pred(sum(n1,n4)),n6)
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f985,f7]) ).
fof(f985,plain,
( sK2 = sum(pred(sum(n1,succ(n3))),n6)
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f984,f112]) ).
fof(f984,plain,
( sK2 = sum(pred(sum(n1,succ(n3))),sum(n3,n3))
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f983,f29]) ).
fof(f983,plain,
( sK2 = sum(pred(sum(n1,succ(n3))),sum(n3,pred(n4)))
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f981,f70]) ).
fof(f981,plain,
( sK2 = sum(pred(sum(n1,succ(n3))),sum(n3,pred(sum(n1,n3))))
| ~ spl3_2
| ~ spl3_25 ),
inference(superposition,[],[f807,f842]) ).
fof(f977,plain,
( ~ spl3_2
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f976]) ).
fof(f976,plain,
( $false
| ~ spl3_2
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f975,f497]) ).
fof(f975,plain,
( n7 = sK2
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f974,f113]) ).
fof(f974,plain,
( sum(n3,n4) = sK2
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f973,f29]) ).
fof(f973,plain,
( sK2 = sum(pred(n4),n4)
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f972,f70]) ).
fof(f972,plain,
( sK2 = sum(pred(sum(n1,n3)),n4)
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f971,f6]) ).
fof(f971,plain,
( sK2 = sum(pred(sum(n1,succ(n2))),n4)
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f970,f90]) ).
fof(f970,plain,
( sK2 = sum(pred(sum(n1,succ(n2))),sum(n2,n2))
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f969,f28]) ).
fof(f969,plain,
( sK2 = sum(pred(sum(n1,succ(n2))),sum(n2,pred(n3)))
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f968,f69]) ).
fof(f968,plain,
( sK2 = sum(pred(sum(n1,succ(n2))),sum(n2,pred(sum(n1,n2))))
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f958,f728]) ).
fof(f958,plain,
( sK2 = sum(pred(sum(sK0,succ(n2))),sum(n2,pred(sum(sK0,n2))))
| ~ spl3_24 ),
inference(superposition,[],[f489,f838]) ).
fof(f967,plain,
( ~ spl3_2
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f966]) ).
fof(f966,plain,
( $false
| ~ spl3_2
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f965,f497]) ).
fof(f965,plain,
( n7 = sK2
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f964,f113]) ).
fof(f964,plain,
( sum(n3,n4) = sK2
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f963,f29]) ).
fof(f963,plain,
( sK2 = sum(pred(n4),n4)
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f962,f70]) ).
fof(f962,plain,
( sK2 = sum(pred(sum(n1,n3)),n4)
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f961,f6]) ).
fof(f961,plain,
( sK2 = sum(pred(sum(n1,succ(n2))),n4)
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f960,f90]) ).
fof(f960,plain,
( sK2 = sum(pred(sum(n1,succ(n2))),sum(n2,n2))
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f959,f28]) ).
fof(f959,plain,
( sK2 = sum(pred(sum(n1,succ(n2))),sum(n2,pred(n3)))
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f957,f69]) ).
fof(f957,plain,
( sK2 = sum(pred(sum(n1,succ(n2))),sum(n2,pred(sum(n1,n2))))
| ~ spl3_2
| ~ spl3_24 ),
inference(superposition,[],[f807,f838]) ).
fof(f954,plain,
( ~ spl3_2
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f953]) ).
fof(f953,plain,
( $false
| ~ spl3_2
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f952,f494]) ).
fof(f952,plain,
( n4 = sK2
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f951,f90]) ).
fof(f951,plain,
( sum(n2,n2) = sK2
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f950,f28]) ).
fof(f950,plain,
( sK2 = sum(pred(n3),n2)
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f949,f69]) ).
fof(f949,plain,
( sK2 = sum(pred(sum(n1,n2)),n2)
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f948,f5]) ).
fof(f948,plain,
( sK2 = sum(pred(sum(n1,succ(n1))),n2)
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f947,f68]) ).
fof(f947,plain,
( sK2 = sum(pred(sum(n1,succ(n1))),sum(n1,n1))
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f946,f27]) ).
fof(f946,plain,
( sK2 = sum(pred(sum(n1,succ(n1))),sum(n1,pred(n2)))
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f945,f68]) ).
fof(f945,plain,
( sK2 = sum(pred(sum(n1,succ(n1))),sum(n1,pred(sum(n1,n1))))
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f935,f728]) ).
fof(f935,plain,
( sK2 = sum(pred(sum(sK0,succ(n1))),sum(n1,pred(sum(sK0,n1))))
| ~ spl3_23 ),
inference(superposition,[],[f489,f834]) ).
fof(f944,plain,
( ~ spl3_2
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f943]) ).
fof(f943,plain,
( $false
| ~ spl3_2
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f942,f494]) ).
fof(f942,plain,
( n4 = sK2
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f941,f90]) ).
fof(f941,plain,
( sum(n2,n2) = sK2
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f940,f28]) ).
fof(f940,plain,
( sK2 = sum(pred(n3),n2)
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f939,f69]) ).
fof(f939,plain,
( sK2 = sum(pred(sum(n1,n2)),n2)
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f938,f5]) ).
fof(f938,plain,
( sK2 = sum(pred(sum(n1,succ(n1))),n2)
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f937,f68]) ).
fof(f937,plain,
( sK2 = sum(pred(sum(n1,succ(n1))),sum(n1,n1))
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f936,f27]) ).
fof(f936,plain,
( sK2 = sum(pred(sum(n1,succ(n1))),sum(n1,pred(n2)))
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f934,f68]) ).
fof(f934,plain,
( sK2 = sum(pred(sum(n1,succ(n1))),sum(n1,pred(sum(n1,n1))))
| ~ spl3_2
| ~ spl3_23 ),
inference(superposition,[],[f807,f834]) ).
fof(f932,plain,
( ~ spl3_2
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f931]) ).
fof(f931,plain,
( $false
| ~ spl3_2
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f930,f491]) ).
fof(f930,plain,
( n1 = sK2
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f929,f67]) ).
fof(f929,plain,
( sum(n1,n0) = sK2
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f928,f27]) ).
fof(f928,plain,
( sK2 = sum(pred(n2),n0)
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f927,f68]) ).
fof(f927,plain,
( sK2 = sum(pred(sum(n1,n1)),n0)
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f926,f4]) ).
fof(f926,plain,
( sK2 = sum(pred(sum(n1,succ(n0))),n0)
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f925,f46]) ).
fof(f925,plain,
( sK2 = sum(pred(sum(n1,succ(n0))),sum(n0,n0))
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f924,f26]) ).
fof(f924,plain,
( sK2 = sum(pred(sum(n1,succ(n0))),sum(n0,pred(n1)))
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f923,f67]) ).
fof(f923,plain,
( sK2 = sum(pred(sum(n1,succ(n0))),sum(n0,pred(sum(n1,n0))))
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f913,f728]) ).
fof(f913,plain,
( sK2 = sum(pred(sum(sK0,succ(n0))),sum(n0,pred(sum(sK0,n0))))
| ~ spl3_22 ),
inference(superposition,[],[f489,f830]) ).
fof(f922,plain,
( ~ spl3_2
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f921]) ).
fof(f921,plain,
( $false
| ~ spl3_2
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f920,f491]) ).
fof(f920,plain,
( n1 = sK2
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f919,f67]) ).
fof(f919,plain,
( sum(n1,n0) = sK2
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f918,f27]) ).
fof(f918,plain,
( sK2 = sum(pred(n2),n0)
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f917,f68]) ).
fof(f917,plain,
( sK2 = sum(pred(sum(n1,n1)),n0)
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f916,f4]) ).
fof(f916,plain,
( sK2 = sum(pred(sum(n1,succ(n0))),n0)
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f915,f46]) ).
fof(f915,plain,
( sK2 = sum(pred(sum(n1,succ(n0))),sum(n0,n0))
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f914,f26]) ).
fof(f914,plain,
( sK2 = sum(pred(sum(n1,succ(n0))),sum(n0,pred(n1)))
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f912,f67]) ).
fof(f912,plain,
( sK2 = sum(pred(sum(n1,succ(n0))),sum(n0,pred(sum(n1,n0))))
| ~ spl3_2
| ~ spl3_22 ),
inference(superposition,[],[f807,f830]) ).
fof(f911,plain,
( spl3_22
| spl3_23
| spl3_24
| spl3_25
| spl3_26
| spl3_27
| spl3_28
| spl3_29
| spl3_30
| spl3_31
| spl3_32
| spl3_33
| spl3_34
| spl3_35
| spl3_36
| spl3_37
| spl3_38
| spl3_39
| spl3_40
| spl3_41
| spl3_42 ),
inference(avatar_split_clause,[],[f488,f908,f904,f900,f896,f892,f888,f884,f880,f876,f872,f868,f864,f860,f856,f852,f848,f844,f840,f836,f832,f828]) ).
fof(f488,plain,
( n20 = sK1
| n19 = sK1
| n18 = sK1
| n17 = sK1
| n16 = sK1
| n15 = sK1
| n14 = sK1
| n13 = sK1
| n12 = sK1
| n11 = sK1
| n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f805,plain,
( spl3_1
| spl3_2
| spl3_3
| spl3_4
| spl3_5
| spl3_6
| spl3_7
| spl3_8
| spl3_9
| spl3_10
| spl3_11
| spl3_12
| spl3_13
| spl3_14
| spl3_15
| spl3_16
| spl3_17
| spl3_18
| spl3_19
| spl3_20
| spl3_21 ),
inference(avatar_split_clause,[],[f487,f802,f798,f794,f790,f786,f782,f778,f774,f770,f766,f762,f758,f754,f750,f746,f742,f738,f734,f730,f726,f722]) ).
fof(f487,plain,
( n20 = sK0
| n19 = sK0
| n18 = sK0
| n17 = sK0
| n16 = sK0
| n15 = sK0
| n14 = sK0
| n13 = sK0
| n12 = sK0
| n11 = sK0
| n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 ),
inference(cnf_transformation,[],[f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : NUM375+1.020 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n018.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 : Mon Apr 29 23:25:58 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (22026)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (22029)WARNING: value z3 for option sas not known
% 0.11/0.35 % (22031)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.35 % (22032)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.35 % (22028)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.36 % (22029)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.36 % (22033)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.36 % (22030)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.36 % (22027)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.39 Detected minimum model sizes of [22]
% 0.11/0.39 Detected maximum model sizes of [max]
% 0.11/0.39 Detected minimum model sizes of [22]
% 0.11/0.39 Detected maximum model sizes of [max]
% 0.18/0.40 TRYING [22]
% 0.18/0.40 TRYING [22]
% 0.18/0.54 % (22029)First to succeed.
% 1.87/0.60 % (22029)Refutation found. Thanks to Tanya!
% 1.87/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.87/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.95/0.65 % (22029)------------------------------
% 1.95/0.65 % (22029)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.95/0.65 % (22029)Termination reason: Refutation
% 1.95/0.65
% 1.95/0.65 % (22029)Memory used [KB]: 3546
% 1.95/0.65 % (22029)Time elapsed: 0.246 s
% 1.95/0.65 % (22029)Instructions burned: 546 (million)
% 1.95/0.65 % (22029)------------------------------
% 1.95/0.65 % (22029)------------------------------
% 1.95/0.65 % (22026)Success in time 0.301 s
%------------------------------------------------------------------------------