TSTP Solution File: NUM375+1.015 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM375+1.015 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:04:10 EDT 2022
% Result : Unsatisfiable 2.79s 0.79s
% Output : Refutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 34
% Syntax : Number of formulae : 2902 ( 306 unt; 0 def)
% Number of atoms : 10489 (5154 equ)
% Maximal formula atoms : 914 ( 3 avg)
% Number of connectives : 13433 (5846 ~;4998 |;2556 &)
% ( 32 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 431 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 34 ( 32 usr; 33 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 19 con; 0-2 aty)
% Number of variables : 12 ( 0 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4922,plain,
$false,
inference(avatar_sat_refutation,[],[f497,f562,f573,f584,f596,f607,f622,f633,f647,f662,f674,f687,f705,f718,f731,f752,f767,f789,f809,f819,f829,f841,f853,f863,f880,f891,f901,f914,f923,f942,f952,f963,f979,f997,f1024,f1035,f1047,f1069,f1087,f1105,f1127,f1142,f1162,f1173,f1189,f1205,f1224,f1245,f1264,f1285,f1302,f1327,f1344,f1360,f1374,f1398,f1414,f1428,f1454,f1468,f1477,f1489,f1522,f1535,f1554,f1574,f1588,f1610,f1630,f1643,f1655,f1668,f1684,f1702,f1727,f1750,f1778,f1797,f1810,f1820,f1843,f1853,f1873,f1893,f1911,f1929,f1948,f1959,f1979,f1995,f2020,f2034,f2052,f2065,f2090,f2110,f2130,f2144,f2164,f2184,f2200,f2218,f2251,f2262,f2272,f2290,f2308,f2323,f2333,f2357,f2369,f2391,f2409,f2428,f2459,f2477,f2489,f2503,f2525,f2535,f2554,f2571,f2598,f2612,f2626,f2640,f2666,f2685,f2705,f2718,f2740,f2755,f2767,f2779,f2790,f2813,f2823,f2856,f2876,f2893,f2911,f2925,f2945,f2961,f2974,f2986,f3003,f3026,f3053,f3069,f3089,f3101,f3117,f3131,f3142,f3157,f3167,f3190,f3212,f3240,f3253,f3267,f3286,f3299,f3324,f3343,f3354,f3370,f3398,f3409,f3421,f3435,f3453,f3464,f3478,f3496,f3513,f3541,f3570,f3586,f3603,f3617,f3631,f3641,f3661,f3680,f3698,f3726,f3746,f3757,f3768,f3791,f3802,f3812,f3831,f3854,f3864,f3878,f3893,f3916,f3931,f3950,f3972,f3986,f4000,f4010,f4029,f4048,f4068,f4095,f4122,f4134,f4161,f4173,f4193,f4203,f4219,f4229,f4248,f4261,f4277,f4290,f4310,f4322,f4350,f4364,f4383,f4397,f4415,f4426,f4445,f4456,f4479,f4494,f4507,f4531,f4543,f4563,f4583,f4593,f4611,f4627,f4651,f4668,f4685,f4705,f4722,f4732,f4753,f4773,f4789,f4809,f4826,f4841,f4859,f4880,f4906,f4918]) ).
fof(f4918,plain,
( ~ spl3_6
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f4917]) ).
fof(f4917,plain,
( $false
| ~ spl3_6
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f4916,f220]) ).
fof(f220,plain,
n14 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f5,plain,
( n12 = sum(n11,n1)
& n11 = sum(n14,n13)
& n2 = sum(n0,n2)
& n1 != n7
& n5 != n11
& n5 = sum(n11,n10)
& n7 = sum(n4,n3)
& n1 = sum(n14,n3)
& n5 != n9
& n2 != n10
& n15 = sum(n3,n12)
& n4 != n10
& n6 != n9
& n2 = sum(n14,n4)
& n11 = sum(n0,n11)
& n3 != n14
& n9 = sum(n1,n8)
& n10 = sum(n11,n15)
& n7 = sum(n13,n10)
& n13 = sum(n9,n4)
& n0 != n14
& n7 = sum(n5,n2)
& n6 = sum(n1,n5)
& n13 = sum(n0,n13)
& n5 = sum(n8,n13)
& n10 != n11
& n0 = pred(n1)
& n1 != n15
& n0 = sum(n5,n11)
& n1 != n14
& n7 = sum(n7,n0)
& n2 != n9
& n5 = sum(n14,n7)
& n0 != n1
& n7 != n14
& n5 != n6
& n4 != n12
& n1 != n12
& n9 = sum(n2,n7)
& n7 = sum(n1,n6)
& n10 = sum(n7,n3)
& n1 = sum(n1,n0)
& n8 != n14
& n5 = sum(n10,n11)
& n8 = pred(n9)
& n6 = sum(n8,n14)
& n2 = sum(n13,n5)
& n7 != n13
& n9 = sum(n0,n9)
& n12 != sK0
& n11 = sum(n2,n9)
& n4 != sK0
& n6 = sum(n0,n6)
& n11 = sum(n7,n4)
& n12 = sum(n5,n7)
& n0 != n10
& n11 = sum(n11,n0)
& n13 = sum(n2,n11)
& n4 = sum(n9,n11)
& n6 = sum(n12,n10)
& n8 = sum(n2,n6)
& n1 != n5
& n15 = sum(n2,n13)
& n4 != n13
& n3 != n15
& n0 != n3
& n13 != sK0
& n9 = pred(n10)
& n2 = sum(n5,n13)
& n10 = sum(n9,n1)
& n11 = sum(n13,n14)
& n8 = sum(n12,n12)
& n2 != n15
& n10 = sum(n1,n9)
& n1 != n8
& succ(n14) = n15
& n9 != n14
& n7 != n8
& n15 = sum(n6,n9)
& n15 = sum(n10,n5)
& n6 = sum(n6,n0)
& n2 != n8
& n3 != n9
& n1 = sum(n9,n8)
& succ(n10) = n11
& n14 = sum(n11,n3)
& n2 = sum(n15,n3)
& n6 != n8
& n11 = sum(n4,n7)
& n10 != n13
& n0 = sum(n7,n9)
& n1 = sum(n3,n14)
& n9 = sum(n15,n10)
& n5 != n13
& succ(n9) = n10
& n1 != n4
& n15 = sum(n8,n7)
& succ(n13) = n14
& n2 = sum(n8,n10)
& n5 != n12
& n11 != n14
& n0 != sK0
& n6 = sum(n13,n9)
& succ(n0) = n1
& n1 != n9
& n5 = sum(n1,n4)
& n10 = sum(n14,n12)
& n14 = pred(n15)
& n15 = sum(n0,n15)
& n15 = sum(n1,n14)
& n2 != sK0
& n15 = sum(n15,n0)
& n3 = sum(n8,n11)
& n5 != sK0
& n5 != n10
& n6 != n12
& n1 != n13
& n12 = sum(n15,n13)
& n14 != n15
& n0 != n13
& n1 = sum(n0,n1)
& n2 != n4
& n0 = sum(n4,n12)
& n7 = sum(n12,n11)
& n2 = sum(n10,n8)
& n13 = sum(n4,n9)
& n8 != sK0
& n1 = sum(n15,n2)
& n13 != n15
& n1 = sum(n5,n12)
& n10 = sum(n2,n8)
& n12 = sum(n12,n0)
& n4 != n5
& n7 != n9
& n13 = sum(n10,n3)
& n14 = sum(n14,n0)
& n6 != n7
& n0 = sum(n6,n10)
& n7 = sum(n0,n7)
& n7 != n15
& n11 = sum(n1,n10)
& n6 = sum(n11,n11)
& n10 != n14
& n12 = sum(n1,n11)
& n0 != n15
& n4 = sum(n15,n5)
& n3 != n7
& n9 = sum(n5,n4)
& n1 = sum(n4,n13)
& n4 = sum(n11,n9)
& n8 = sum(n6,n2)
& n11 = sum(n5,n6)
& n3 = sum(n10,n9)
& n5 = sum(n0,n5)
& ( n2 = sK2
| n3 = sK2
| n15 = sK2
| n1 = sK2
| n5 = sK2
| n14 = sK2
| n13 = sK2
| n10 = sK2
| n4 = sK2
| n9 = sK2
| n12 = sK2
| n7 = sK2
| n6 = sK2
| n11 = sK2
| n8 = sK2
| n0 = sK2 )
& n3 != n8
& n6 = sum(n3,n3)
& n3 != n6
& n2 != n12
& n3 != n12
& n0 = sum(n1,n15)
& n5 = sum(n6,n15)
& n4 != n8
& n8 = sum(n1,n7)
& n4 = sum(n7,n13)
& n3 != n5
& n10 = sum(n10,n0)
& n4 != n6
& n1 != n10
& n4 != n11
& n5 = sum(n13,n8)
& n11 = sum(n6,n5)
& n0 != n9
& n12 = sum(n9,n3)
& n0 != n6
& n4 = sum(n2,n2)
& n0 = sum(n2,n14)
& n4 = sum(n8,n12)
& n2 = sum(n3,n15)
& n13 = sum(n15,n14)
& n7 = sum(n6,n1)
& n15 != sK0
& n13 = pred(n14)
& n7 = sum(n8,n15)
& n14 = sum(n15,n15)
& n2 = sum(n1,n1)
& n3 = sum(n11,n8)
& n13 = sum(n1,n12)
& n9 = sum(n6,n3)
& n2 = sum(n12,n6)
& n1 = sum(n13,n4)
& n0 != n4
& succ(n2) = n3
& n2 != n7
& n1 != n11
& n9 = sum(n3,n6)
& n0 != n5
& n14 = sum(n5,n9)
& n6 != sK0
& n13 = sum(n12,n1)
& n11 != n12
& sum(pred(sum(sK2,succ(sK1))),sum(sK1,pred(sum(sK2,sK1)))) = sK0
& n15 = sum(n12,n3)
& n2 = sum(n2,n0)
& n7 = pred(n8)
& n13 = sum(n7,n6)
& n6 != n11
& succ(n3) = n4
& n2 != n5
& n11 = sum(n12,n15)
& n8 != n9
& n3 != n4
& n14 != sK0
& n6 != n14
& n0 = sum(n10,n6)
& n2 = sum(n9,n9)
& n6 = sum(n7,n15)
& n10 != n12
& n12 != n14
& n3 != sK0
& n2 != n14
& n8 != n10
& n5 != n14
& n8 != n11
& n0 = succ(n15)
& n0 = sum(n8,n8)
& n8 = sum(n3,n5)
& succ(n1) = n2
& n8 = sum(n14,n10)
& n13 = sum(n13,n0)
& n6 = sum(n2,n4)
& ( n12 = sK1
| n6 = sK1
| n1 = sK1
| n4 = sK1
| n7 = sK1
| n10 = sK1
| n9 = sK1
| n8 = sK1
| n2 = sK1
| n11 = sK1
| n13 = sK1
| n5 = sK1
| n14 = sK1
| n3 = sK1
| n0 = sK1
| n15 = sK1 )
& n11 = sum(n15,n12)
& n12 = sum(n6,n6)
& n6 = sum(n15,n7)
& n9 = sum(n10,n15)
& n13 != n14
& n5 = pred(n6)
& n13 = sum(n14,n15)
& n14 = sum(n3,n11)
& n4 = sum(n5,n15)
& n7 != n12
& n5 = sum(n5,n0)
& n0 != n2
& n14 = sum(n7,n7)
& n1 != n2
& n9 = sum(n8,n1)
& n10 = sum(n5,n5)
& n0 = sum(n9,n7)
& succ(n11) = n12
& n14 = sum(n10,n4)
& n1 != n6
& n14 = sum(n2,n12)
& n13 = sum(n6,n7)
& n12 = sum(n14,n14)
& n8 != n12
& n11 != sK0
& n3 = sum(n15,n4)
& n8 = sum(n10,n14)
& n11 = sum(n3,n8)
& n14 = sum(n13,n1)
& n4 != n9
& n10 = sum(n15,n11)
& n1 = sum(n8,n9)
& n12 = sum(n3,n9)
& n4 != n7
& n9 = sum(n7,n2)
& n4 != n14
& n5 = sum(n2,n3)
& n9 = sum(n4,n5)
& n1 = sum(n10,n7)
& succ(n5) = n6
& n3 = sum(n13,n6)
& n1 = sum(n6,n11)
& n3 = sum(n1,n2)
& n3 = sum(n12,n7)
& n0 = sum(n12,n4)
& n1 = pred(n2)
& n2 != n11
& n2 != n6
& n7 = sum(n11,n12)
& n6 = sum(n5,n1)
& n14 = sum(n4,n10)
& n3 = sum(n2,n1)
& n9 = sum(n11,n14)
& n2 = pred(n3)
& n0 != n11
& n7 = sum(n10,n13)
& n11 != n15
& n6 != n10
& n8 = sum(n7,n1)
& n1 != n3
& n5 != n15
& n13 = sum(n11,n2)
& n3 = pred(n4)
& n8 = sum(n15,n9)
& n5 = sum(n4,n1)
& n3 != n11
& n10 = sum(n0,n10)
& n9 = sum(n13,n12)
& n4 = sum(n14,n6)
& n9 != n12
& n14 = sum(n0,n14)
& n13 = sum(n5,n8)
& n8 = sum(n13,n11)
& n10 = sum(n13,n13)
& n3 = sum(n7,n12)
& n15 = sum(n11,n4)
& n4 = pred(n5)
& n5 = sum(n7,n14)
& n8 = sum(n8,n0)
& n0 != n12
& n11 != n13
& n2 = sum(n6,n12)
& n10 = sum(n4,n6)
& n10 != sK0
& n14 = sum(n12,n2)
& n10 = pred(n11)
& n6 = sum(n14,n8)
& n14 = sum(n8,n6)
& n7 = sum(n3,n4)
& n2 = sum(n11,n7)
& n7 != sK0
& n1 = sum(n2,n15)
& n5 = sum(n9,n12)
& n4 = sum(n13,n7)
& n3 = sum(n3,n0)
& n2 = sum(n4,n14)
& n1 = sum(n12,n5)
& n0 = sum(n13,n3)
& n9 != n13
& n10 = sum(n8,n2)
& n1 = sum(n11,n6)
& n11 = pred(n12)
& n0 != n7
& n9 != n15
& n2 != n3
& n12 = pred(n13)
& n15 = pred(n0)
& n1 = sum(n7,n10)
& n15 = sum(n7,n8)
& n14 = sum(n6,n8)
& n8 != n13
& n7 != n11
& n0 = sum(n0,n0)
& n8 = sum(n11,n13)
& n8 = sum(n0,n8)
& n7 = sum(n2,n5)
& n9 != n10
& n6 != n13
& n12 != n15
& n10 = sum(n6,n4)
& n6 = pred(n7)
& n10 = sum(n3,n7)
& n0 = sum(n15,n1)
& n5 = sum(n12,n9)
& succ(n6) = n7
& n4 = sum(n4,n0)
& succ(n4) = n5
& succ(n7) = n8
& n4 = sum(n3,n1)
& n12 = sum(n10,n2)
& n12 = sum(n8,n4)
& n8 = sum(n5,n3)
& n10 != n15
& n1 != sK0
& n8 = sum(n9,n15)
& n15 = sum(n14,n1)
& n4 = sum(n12,n8)
& n4 = sum(n6,n14)
& n2 = sum(n7,n11)
& succ(n8) = n9
& n14 = sum(n9,n5)
& n0 != n8
& n6 = sum(n9,n13)
& n6 = sum(n4,n2)
& n12 = sum(n7,n5)
& n0 = sum(n14,n2)
& n7 = sum(n9,n14)
& n3 = sum(n5,n14)
& n4 = sum(n1,n3)
& n5 != n7
& n0 = sum(n3,n13)
& n15 = sum(n9,n6)
& n9 = sum(n9,n0)
& n11 = sum(n9,n2)
& n4 = sum(n0,n4)
& n7 != n10
& n0 = sum(n11,n5)
& n8 != n15
& n12 = sum(n13,n15)
& n4 != n15
& n11 = sum(n8,n3)
& n15 = sum(n5,n10)
& n12 = sum(n0,n12)
& n9 = sum(n14,n11)
& n3 = sum(n4,n15)
& n12 = sum(n2,n10)
& n7 = sum(n15,n8)
& n5 != n8
& n12 != n13
& n11 = sum(n10,n1)
& n14 = sum(n1,n13)
& succ(n12) = n13
& n15 = sum(n13,n2)
& n9 != n11
& n3 = sum(n0,n3)
& n3 = sum(n9,n10)
& n8 = sum(n4,n4)
& n2 != n13
& n7 = sum(n14,n9)
& n6 != n15
& n12 = sum(n4,n8)
& n10 = sum(n12,n14)
& n3 = sum(n14,n5)
& n3 != n10
& n6 = sum(n10,n12)
& n3 = sum(n6,n13)
& n5 = sum(n3,n2)
& n9 != sK0
& n9 = sum(n12,n13)
& n13 = sum(n3,n10)
& n3 != n13
& n13 = sum(n8,n5)
& n15 = sum(n4,n11)
& n4 = sum(n10,n10)
& n5 = sum(n15,n6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f3,f4]) ).
fof(f4,plain,
( ? [X0,X1,X2] :
( n12 = sum(n11,n1)
& n11 = sum(n14,n13)
& n2 = sum(n0,n2)
& n1 != n7
& n5 != n11
& n5 = sum(n11,n10)
& n7 = sum(n4,n3)
& n1 = sum(n14,n3)
& n5 != n9
& n2 != n10
& n15 = sum(n3,n12)
& n4 != n10
& n6 != n9
& n2 = sum(n14,n4)
& n11 = sum(n0,n11)
& n3 != n14
& n9 = sum(n1,n8)
& n10 = sum(n11,n15)
& n7 = sum(n13,n10)
& n13 = sum(n9,n4)
& n0 != n14
& n7 = sum(n5,n2)
& n6 = sum(n1,n5)
& n13 = sum(n0,n13)
& n5 = sum(n8,n13)
& n10 != n11
& n0 = pred(n1)
& n1 != n15
& n0 = sum(n5,n11)
& n1 != n14
& n7 = sum(n7,n0)
& n2 != n9
& n5 = sum(n14,n7)
& n0 != n1
& n7 != n14
& n5 != n6
& n4 != n12
& n1 != n12
& n9 = sum(n2,n7)
& n7 = sum(n1,n6)
& n10 = sum(n7,n3)
& n1 = sum(n1,n0)
& n8 != n14
& n5 = sum(n10,n11)
& n8 = pred(n9)
& n6 = sum(n8,n14)
& n2 = sum(n13,n5)
& n7 != n13
& n9 = sum(n0,n9)
& n12 != X0
& n11 = sum(n2,n9)
& n4 != X0
& n6 = sum(n0,n6)
& n11 = sum(n7,n4)
& n12 = sum(n5,n7)
& n0 != n10
& n11 = sum(n11,n0)
& n13 = sum(n2,n11)
& n4 = sum(n9,n11)
& n6 = sum(n12,n10)
& n8 = sum(n2,n6)
& n1 != n5
& n15 = sum(n2,n13)
& n4 != n13
& n3 != n15
& n0 != n3
& n13 != X0
& n9 = pred(n10)
& n2 = sum(n5,n13)
& n10 = sum(n9,n1)
& n11 = sum(n13,n14)
& n8 = sum(n12,n12)
& n2 != n15
& n10 = sum(n1,n9)
& n1 != n8
& succ(n14) = n15
& n9 != n14
& n7 != n8
& n15 = sum(n6,n9)
& n15 = sum(n10,n5)
& n6 = sum(n6,n0)
& n2 != n8
& n3 != n9
& n1 = sum(n9,n8)
& succ(n10) = n11
& n14 = sum(n11,n3)
& n2 = sum(n15,n3)
& n6 != n8
& n11 = sum(n4,n7)
& n10 != n13
& n0 = sum(n7,n9)
& n1 = sum(n3,n14)
& n9 = sum(n15,n10)
& n5 != n13
& succ(n9) = n10
& n1 != n4
& n15 = sum(n8,n7)
& succ(n13) = n14
& n2 = sum(n8,n10)
& n5 != n12
& n11 != n14
& n0 != X0
& n6 = sum(n13,n9)
& succ(n0) = n1
& n1 != n9
& n5 = sum(n1,n4)
& n10 = sum(n14,n12)
& n14 = pred(n15)
& n15 = sum(n0,n15)
& n15 = sum(n1,n14)
& n2 != X0
& n15 = sum(n15,n0)
& n3 = sum(n8,n11)
& n5 != X0
& n5 != n10
& n6 != n12
& n1 != n13
& n12 = sum(n15,n13)
& n14 != n15
& n0 != n13
& n1 = sum(n0,n1)
& n2 != n4
& n0 = sum(n4,n12)
& n7 = sum(n12,n11)
& n2 = sum(n10,n8)
& n13 = sum(n4,n9)
& n8 != X0
& n1 = sum(n15,n2)
& n13 != n15
& n1 = sum(n5,n12)
& n10 = sum(n2,n8)
& n12 = sum(n12,n0)
& n4 != n5
& n7 != n9
& n13 = sum(n10,n3)
& n14 = sum(n14,n0)
& n6 != n7
& n0 = sum(n6,n10)
& n7 = sum(n0,n7)
& n7 != n15
& n11 = sum(n1,n10)
& n6 = sum(n11,n11)
& n10 != n14
& n12 = sum(n1,n11)
& n0 != n15
& n4 = sum(n15,n5)
& n3 != n7
& n9 = sum(n5,n4)
& n1 = sum(n4,n13)
& n4 = sum(n11,n9)
& n8 = sum(n6,n2)
& n11 = sum(n5,n6)
& n3 = sum(n10,n9)
& n5 = sum(n0,n5)
& ( n2 = X2
| n3 = X2
| n15 = X2
| n1 = X2
| n5 = X2
| n14 = X2
| n13 = X2
| n10 = X2
| n4 = X2
| n9 = X2
| n12 = X2
| n7 = X2
| n6 = X2
| n11 = X2
| n8 = X2
| n0 = X2 )
& n3 != n8
& n6 = sum(n3,n3)
& n3 != n6
& n2 != n12
& n3 != n12
& n0 = sum(n1,n15)
& n5 = sum(n6,n15)
& n4 != n8
& n8 = sum(n1,n7)
& n4 = sum(n7,n13)
& n3 != n5
& n10 = sum(n10,n0)
& n4 != n6
& n1 != n10
& n4 != n11
& n5 = sum(n13,n8)
& n11 = sum(n6,n5)
& n0 != n9
& n12 = sum(n9,n3)
& n0 != n6
& n4 = sum(n2,n2)
& n0 = sum(n2,n14)
& n4 = sum(n8,n12)
& n2 = sum(n3,n15)
& n13 = sum(n15,n14)
& n7 = sum(n6,n1)
& n15 != X0
& n13 = pred(n14)
& n7 = sum(n8,n15)
& n14 = sum(n15,n15)
& n2 = sum(n1,n1)
& n3 = sum(n11,n8)
& n13 = sum(n1,n12)
& n9 = sum(n6,n3)
& n2 = sum(n12,n6)
& n1 = sum(n13,n4)
& n0 != n4
& succ(n2) = n3
& n2 != n7
& n1 != n11
& n9 = sum(n3,n6)
& n0 != n5
& n14 = sum(n5,n9)
& n6 != X0
& n13 = sum(n12,n1)
& n11 != n12
& sum(pred(sum(X2,succ(X1))),sum(X1,pred(sum(X2,X1)))) = X0
& n15 = sum(n12,n3)
& n2 = sum(n2,n0)
& n7 = pred(n8)
& n13 = sum(n7,n6)
& n6 != n11
& succ(n3) = n4
& n2 != n5
& n11 = sum(n12,n15)
& n8 != n9
& n3 != n4
& n14 != X0
& n6 != n14
& n0 = sum(n10,n6)
& n2 = sum(n9,n9)
& n6 = sum(n7,n15)
& n10 != n12
& n12 != n14
& n3 != X0
& n2 != n14
& n8 != n10
& n5 != n14
& n8 != n11
& n0 = succ(n15)
& n0 = sum(n8,n8)
& n8 = sum(n3,n5)
& succ(n1) = n2
& n8 = sum(n14,n10)
& n13 = sum(n13,n0)
& n6 = sum(n2,n4)
& ( n12 = X1
| n6 = X1
| n1 = X1
| n4 = X1
| n7 = X1
| n10 = X1
| n9 = X1
| n8 = X1
| n2 = X1
| n11 = X1
| n13 = X1
| n5 = X1
| n14 = X1
| n3 = X1
| n0 = X1
| n15 = X1 )
& n11 = sum(n15,n12)
& n12 = sum(n6,n6)
& n6 = sum(n15,n7)
& n9 = sum(n10,n15)
& n13 != n14
& n5 = pred(n6)
& n13 = sum(n14,n15)
& n14 = sum(n3,n11)
& n4 = sum(n5,n15)
& n7 != n12
& n5 = sum(n5,n0)
& n0 != n2
& n14 = sum(n7,n7)
& n1 != n2
& n9 = sum(n8,n1)
& n10 = sum(n5,n5)
& n0 = sum(n9,n7)
& succ(n11) = n12
& n14 = sum(n10,n4)
& n1 != n6
& n14 = sum(n2,n12)
& n13 = sum(n6,n7)
& n12 = sum(n14,n14)
& n8 != n12
& n11 != X0
& n3 = sum(n15,n4)
& n8 = sum(n10,n14)
& n11 = sum(n3,n8)
& n14 = sum(n13,n1)
& n4 != n9
& n10 = sum(n15,n11)
& n1 = sum(n8,n9)
& n12 = sum(n3,n9)
& n4 != n7
& n9 = sum(n7,n2)
& n4 != n14
& n5 = sum(n2,n3)
& n9 = sum(n4,n5)
& n1 = sum(n10,n7)
& succ(n5) = n6
& n3 = sum(n13,n6)
& n1 = sum(n6,n11)
& n3 = sum(n1,n2)
& n3 = sum(n12,n7)
& n0 = sum(n12,n4)
& n1 = pred(n2)
& n2 != n11
& n2 != n6
& n7 = sum(n11,n12)
& n6 = sum(n5,n1)
& n14 = sum(n4,n10)
& n3 = sum(n2,n1)
& n9 = sum(n11,n14)
& n2 = pred(n3)
& n0 != n11
& n7 = sum(n10,n13)
& n11 != n15
& n6 != n10
& n8 = sum(n7,n1)
& n1 != n3
& n5 != n15
& n13 = sum(n11,n2)
& n3 = pred(n4)
& n8 = sum(n15,n9)
& n5 = sum(n4,n1)
& n3 != n11
& n10 = sum(n0,n10)
& n9 = sum(n13,n12)
& n4 = sum(n14,n6)
& n9 != n12
& n14 = sum(n0,n14)
& n13 = sum(n5,n8)
& n8 = sum(n13,n11)
& n10 = sum(n13,n13)
& n3 = sum(n7,n12)
& n15 = sum(n11,n4)
& n4 = pred(n5)
& n5 = sum(n7,n14)
& n8 = sum(n8,n0)
& n0 != n12
& n11 != n13
& n2 = sum(n6,n12)
& n10 = sum(n4,n6)
& n10 != X0
& n14 = sum(n12,n2)
& n10 = pred(n11)
& n6 = sum(n14,n8)
& n14 = sum(n8,n6)
& n7 = sum(n3,n4)
& n2 = sum(n11,n7)
& n7 != X0
& n1 = sum(n2,n15)
& n5 = sum(n9,n12)
& n4 = sum(n13,n7)
& n3 = sum(n3,n0)
& n2 = sum(n4,n14)
& n1 = sum(n12,n5)
& n0 = sum(n13,n3)
& n9 != n13
& n10 = sum(n8,n2)
& n1 = sum(n11,n6)
& n11 = pred(n12)
& n0 != n7
& n9 != n15
& n2 != n3
& n12 = pred(n13)
& n15 = pred(n0)
& n1 = sum(n7,n10)
& n15 = sum(n7,n8)
& n14 = sum(n6,n8)
& n8 != n13
& n7 != n11
& n0 = sum(n0,n0)
& n8 = sum(n11,n13)
& n8 = sum(n0,n8)
& n7 = sum(n2,n5)
& n9 != n10
& n6 != n13
& n12 != n15
& n10 = sum(n6,n4)
& n6 = pred(n7)
& n10 = sum(n3,n7)
& n0 = sum(n15,n1)
& n5 = sum(n12,n9)
& succ(n6) = n7
& n4 = sum(n4,n0)
& succ(n4) = n5
& succ(n7) = n8
& n4 = sum(n3,n1)
& n12 = sum(n10,n2)
& n12 = sum(n8,n4)
& n8 = sum(n5,n3)
& n10 != n15
& n1 != X0
& n8 = sum(n9,n15)
& n15 = sum(n14,n1)
& n4 = sum(n12,n8)
& n4 = sum(n6,n14)
& n2 = sum(n7,n11)
& succ(n8) = n9
& n14 = sum(n9,n5)
& n0 != n8
& n6 = sum(n9,n13)
& n6 = sum(n4,n2)
& n12 = sum(n7,n5)
& n0 = sum(n14,n2)
& n7 = sum(n9,n14)
& n3 = sum(n5,n14)
& n4 = sum(n1,n3)
& n5 != n7
& n0 = sum(n3,n13)
& n15 = sum(n9,n6)
& n9 = sum(n9,n0)
& n11 = sum(n9,n2)
& n4 = sum(n0,n4)
& n7 != n10
& n0 = sum(n11,n5)
& n8 != n15
& n12 = sum(n13,n15)
& n4 != n15
& n11 = sum(n8,n3)
& n15 = sum(n5,n10)
& n12 = sum(n0,n12)
& n9 = sum(n14,n11)
& n3 = sum(n4,n15)
& n12 = sum(n2,n10)
& n7 = sum(n15,n8)
& n5 != n8
& n12 != n13
& n11 = sum(n10,n1)
& n14 = sum(n1,n13)
& succ(n12) = n13
& n15 = sum(n13,n2)
& n9 != n11
& n3 = sum(n0,n3)
& n3 = sum(n9,n10)
& n8 = sum(n4,n4)
& n2 != n13
& n7 = sum(n14,n9)
& n6 != n15
& n12 = sum(n4,n8)
& n10 = sum(n12,n14)
& n3 = sum(n14,n5)
& n3 != n10
& n6 = sum(n10,n12)
& n3 = sum(n6,n13)
& n5 = sum(n3,n2)
& n9 != X0
& n9 = sum(n12,n13)
& n13 = sum(n3,n10)
& n3 != n13
& n13 = sum(n8,n5)
& n15 = sum(n4,n11)
& n4 = sum(n10,n10)
& n5 = sum(n15,n6) )
=> ( n12 = sum(n11,n1)
& n11 = sum(n14,n13)
& n2 = sum(n0,n2)
& n1 != n7
& n5 != n11
& n5 = sum(n11,n10)
& n7 = sum(n4,n3)
& n1 = sum(n14,n3)
& n5 != n9
& n2 != n10
& n15 = sum(n3,n12)
& n4 != n10
& n6 != n9
& n2 = sum(n14,n4)
& n11 = sum(n0,n11)
& n3 != n14
& n9 = sum(n1,n8)
& n10 = sum(n11,n15)
& n7 = sum(n13,n10)
& n13 = sum(n9,n4)
& n0 != n14
& n7 = sum(n5,n2)
& n6 = sum(n1,n5)
& n13 = sum(n0,n13)
& n5 = sum(n8,n13)
& n10 != n11
& n0 = pred(n1)
& n1 != n15
& n0 = sum(n5,n11)
& n1 != n14
& n7 = sum(n7,n0)
& n2 != n9
& n5 = sum(n14,n7)
& n0 != n1
& n7 != n14
& n5 != n6
& n4 != n12
& n1 != n12
& n9 = sum(n2,n7)
& n7 = sum(n1,n6)
& n10 = sum(n7,n3)
& n1 = sum(n1,n0)
& n8 != n14
& n5 = sum(n10,n11)
& n8 = pred(n9)
& n6 = sum(n8,n14)
& n2 = sum(n13,n5)
& n7 != n13
& n9 = sum(n0,n9)
& n12 != sK0
& n11 = sum(n2,n9)
& n4 != sK0
& n6 = sum(n0,n6)
& n11 = sum(n7,n4)
& n12 = sum(n5,n7)
& n0 != n10
& n11 = sum(n11,n0)
& n13 = sum(n2,n11)
& n4 = sum(n9,n11)
& n6 = sum(n12,n10)
& n8 = sum(n2,n6)
& n1 != n5
& n15 = sum(n2,n13)
& n4 != n13
& n3 != n15
& n0 != n3
& n13 != sK0
& n9 = pred(n10)
& n2 = sum(n5,n13)
& n10 = sum(n9,n1)
& n11 = sum(n13,n14)
& n8 = sum(n12,n12)
& n2 != n15
& n10 = sum(n1,n9)
& n1 != n8
& succ(n14) = n15
& n9 != n14
& n7 != n8
& n15 = sum(n6,n9)
& n15 = sum(n10,n5)
& n6 = sum(n6,n0)
& n2 != n8
& n3 != n9
& n1 = sum(n9,n8)
& succ(n10) = n11
& n14 = sum(n11,n3)
& n2 = sum(n15,n3)
& n6 != n8
& n11 = sum(n4,n7)
& n10 != n13
& n0 = sum(n7,n9)
& n1 = sum(n3,n14)
& n9 = sum(n15,n10)
& n5 != n13
& succ(n9) = n10
& n1 != n4
& n15 = sum(n8,n7)
& succ(n13) = n14
& n2 = sum(n8,n10)
& n5 != n12
& n11 != n14
& n0 != sK0
& n6 = sum(n13,n9)
& succ(n0) = n1
& n1 != n9
& n5 = sum(n1,n4)
& n10 = sum(n14,n12)
& n14 = pred(n15)
& n15 = sum(n0,n15)
& n15 = sum(n1,n14)
& n2 != sK0
& n15 = sum(n15,n0)
& n3 = sum(n8,n11)
& n5 != sK0
& n5 != n10
& n6 != n12
& n1 != n13
& n12 = sum(n15,n13)
& n14 != n15
& n0 != n13
& n1 = sum(n0,n1)
& n2 != n4
& n0 = sum(n4,n12)
& n7 = sum(n12,n11)
& n2 = sum(n10,n8)
& n13 = sum(n4,n9)
& n8 != sK0
& n1 = sum(n15,n2)
& n13 != n15
& n1 = sum(n5,n12)
& n10 = sum(n2,n8)
& n12 = sum(n12,n0)
& n4 != n5
& n7 != n9
& n13 = sum(n10,n3)
& n14 = sum(n14,n0)
& n6 != n7
& n0 = sum(n6,n10)
& n7 = sum(n0,n7)
& n7 != n15
& n11 = sum(n1,n10)
& n6 = sum(n11,n11)
& n10 != n14
& n12 = sum(n1,n11)
& n0 != n15
& n4 = sum(n15,n5)
& n3 != n7
& n9 = sum(n5,n4)
& n1 = sum(n4,n13)
& n4 = sum(n11,n9)
& n8 = sum(n6,n2)
& n11 = sum(n5,n6)
& n3 = sum(n10,n9)
& n5 = sum(n0,n5)
& ( n2 = sK2
| n3 = sK2
| n15 = sK2
| n1 = sK2
| n5 = sK2
| n14 = sK2
| n13 = sK2
| n10 = sK2
| n4 = sK2
| n9 = sK2
| n12 = sK2
| n7 = sK2
| n6 = sK2
| n11 = sK2
| n8 = sK2
| n0 = sK2 )
& n3 != n8
& n6 = sum(n3,n3)
& n3 != n6
& n2 != n12
& n3 != n12
& n0 = sum(n1,n15)
& n5 = sum(n6,n15)
& n4 != n8
& n8 = sum(n1,n7)
& n4 = sum(n7,n13)
& n3 != n5
& n10 = sum(n10,n0)
& n4 != n6
& n1 != n10
& n4 != n11
& n5 = sum(n13,n8)
& n11 = sum(n6,n5)
& n0 != n9
& n12 = sum(n9,n3)
& n0 != n6
& n4 = sum(n2,n2)
& n0 = sum(n2,n14)
& n4 = sum(n8,n12)
& n2 = sum(n3,n15)
& n13 = sum(n15,n14)
& n7 = sum(n6,n1)
& n15 != sK0
& n13 = pred(n14)
& n7 = sum(n8,n15)
& n14 = sum(n15,n15)
& n2 = sum(n1,n1)
& n3 = sum(n11,n8)
& n13 = sum(n1,n12)
& n9 = sum(n6,n3)
& n2 = sum(n12,n6)
& n1 = sum(n13,n4)
& n0 != n4
& succ(n2) = n3
& n2 != n7
& n1 != n11
& n9 = sum(n3,n6)
& n0 != n5
& n14 = sum(n5,n9)
& n6 != sK0
& n13 = sum(n12,n1)
& n11 != n12
& sum(pred(sum(sK2,succ(sK1))),sum(sK1,pred(sum(sK2,sK1)))) = sK0
& n15 = sum(n12,n3)
& n2 = sum(n2,n0)
& n7 = pred(n8)
& n13 = sum(n7,n6)
& n6 != n11
& succ(n3) = n4
& n2 != n5
& n11 = sum(n12,n15)
& n8 != n9
& n3 != n4
& n14 != sK0
& n6 != n14
& n0 = sum(n10,n6)
& n2 = sum(n9,n9)
& n6 = sum(n7,n15)
& n10 != n12
& n12 != n14
& n3 != sK0
& n2 != n14
& n8 != n10
& n5 != n14
& n8 != n11
& n0 = succ(n15)
& n0 = sum(n8,n8)
& n8 = sum(n3,n5)
& succ(n1) = n2
& n8 = sum(n14,n10)
& n13 = sum(n13,n0)
& n6 = sum(n2,n4)
& ( n12 = sK1
| n6 = sK1
| n1 = sK1
| n4 = sK1
| n7 = sK1
| n10 = sK1
| n9 = sK1
| n8 = sK1
| n2 = sK1
| n11 = sK1
| n13 = sK1
| n5 = sK1
| n14 = sK1
| n3 = sK1
| n0 = sK1
| n15 = sK1 )
& n11 = sum(n15,n12)
& n12 = sum(n6,n6)
& n6 = sum(n15,n7)
& n9 = sum(n10,n15)
& n13 != n14
& n5 = pred(n6)
& n13 = sum(n14,n15)
& n14 = sum(n3,n11)
& n4 = sum(n5,n15)
& n7 != n12
& n5 = sum(n5,n0)
& n0 != n2
& n14 = sum(n7,n7)
& n1 != n2
& n9 = sum(n8,n1)
& n10 = sum(n5,n5)
& n0 = sum(n9,n7)
& succ(n11) = n12
& n14 = sum(n10,n4)
& n1 != n6
& n14 = sum(n2,n12)
& n13 = sum(n6,n7)
& n12 = sum(n14,n14)
& n8 != n12
& n11 != sK0
& n3 = sum(n15,n4)
& n8 = sum(n10,n14)
& n11 = sum(n3,n8)
& n14 = sum(n13,n1)
& n4 != n9
& n10 = sum(n15,n11)
& n1 = sum(n8,n9)
& n12 = sum(n3,n9)
& n4 != n7
& n9 = sum(n7,n2)
& n4 != n14
& n5 = sum(n2,n3)
& n9 = sum(n4,n5)
& n1 = sum(n10,n7)
& succ(n5) = n6
& n3 = sum(n13,n6)
& n1 = sum(n6,n11)
& n3 = sum(n1,n2)
& n3 = sum(n12,n7)
& n0 = sum(n12,n4)
& n1 = pred(n2)
& n2 != n11
& n2 != n6
& n7 = sum(n11,n12)
& n6 = sum(n5,n1)
& n14 = sum(n4,n10)
& n3 = sum(n2,n1)
& n9 = sum(n11,n14)
& n2 = pred(n3)
& n0 != n11
& n7 = sum(n10,n13)
& n11 != n15
& n6 != n10
& n8 = sum(n7,n1)
& n1 != n3
& n5 != n15
& n13 = sum(n11,n2)
& n3 = pred(n4)
& n8 = sum(n15,n9)
& n5 = sum(n4,n1)
& n3 != n11
& n10 = sum(n0,n10)
& n9 = sum(n13,n12)
& n4 = sum(n14,n6)
& n9 != n12
& n14 = sum(n0,n14)
& n13 = sum(n5,n8)
& n8 = sum(n13,n11)
& n10 = sum(n13,n13)
& n3 = sum(n7,n12)
& n15 = sum(n11,n4)
& n4 = pred(n5)
& n5 = sum(n7,n14)
& n8 = sum(n8,n0)
& n0 != n12
& n11 != n13
& n2 = sum(n6,n12)
& n10 = sum(n4,n6)
& n10 != sK0
& n14 = sum(n12,n2)
& n10 = pred(n11)
& n6 = sum(n14,n8)
& n14 = sum(n8,n6)
& n7 = sum(n3,n4)
& n2 = sum(n11,n7)
& n7 != sK0
& n1 = sum(n2,n15)
& n5 = sum(n9,n12)
& n4 = sum(n13,n7)
& n3 = sum(n3,n0)
& n2 = sum(n4,n14)
& n1 = sum(n12,n5)
& n0 = sum(n13,n3)
& n9 != n13
& n10 = sum(n8,n2)
& n1 = sum(n11,n6)
& n11 = pred(n12)
& n0 != n7
& n9 != n15
& n2 != n3
& n12 = pred(n13)
& n15 = pred(n0)
& n1 = sum(n7,n10)
& n15 = sum(n7,n8)
& n14 = sum(n6,n8)
& n8 != n13
& n7 != n11
& n0 = sum(n0,n0)
& n8 = sum(n11,n13)
& n8 = sum(n0,n8)
& n7 = sum(n2,n5)
& n9 != n10
& n6 != n13
& n12 != n15
& n10 = sum(n6,n4)
& n6 = pred(n7)
& n10 = sum(n3,n7)
& n0 = sum(n15,n1)
& n5 = sum(n12,n9)
& succ(n6) = n7
& n4 = sum(n4,n0)
& succ(n4) = n5
& succ(n7) = n8
& n4 = sum(n3,n1)
& n12 = sum(n10,n2)
& n12 = sum(n8,n4)
& n8 = sum(n5,n3)
& n10 != n15
& n1 != sK0
& n8 = sum(n9,n15)
& n15 = sum(n14,n1)
& n4 = sum(n12,n8)
& n4 = sum(n6,n14)
& n2 = sum(n7,n11)
& succ(n8) = n9
& n14 = sum(n9,n5)
& n0 != n8
& n6 = sum(n9,n13)
& n6 = sum(n4,n2)
& n12 = sum(n7,n5)
& n0 = sum(n14,n2)
& n7 = sum(n9,n14)
& n3 = sum(n5,n14)
& n4 = sum(n1,n3)
& n5 != n7
& n0 = sum(n3,n13)
& n15 = sum(n9,n6)
& n9 = sum(n9,n0)
& n11 = sum(n9,n2)
& n4 = sum(n0,n4)
& n7 != n10
& n0 = sum(n11,n5)
& n8 != n15
& n12 = sum(n13,n15)
& n4 != n15
& n11 = sum(n8,n3)
& n15 = sum(n5,n10)
& n12 = sum(n0,n12)
& n9 = sum(n14,n11)
& n3 = sum(n4,n15)
& n12 = sum(n2,n10)
& n7 = sum(n15,n8)
& n5 != n8
& n12 != n13
& n11 = sum(n10,n1)
& n14 = sum(n1,n13)
& succ(n12) = n13
& n15 = sum(n13,n2)
& n9 != n11
& n3 = sum(n0,n3)
& n3 = sum(n9,n10)
& n8 = sum(n4,n4)
& n2 != n13
& n7 = sum(n14,n9)
& n6 != n15
& n12 = sum(n4,n8)
& n10 = sum(n12,n14)
& n3 = sum(n14,n5)
& n3 != n10
& n6 = sum(n10,n12)
& n3 = sum(n6,n13)
& n5 = sum(n3,n2)
& n9 != sK0
& n9 = sum(n12,n13)
& n13 = sum(n3,n10)
& n3 != n13
& n13 = sum(n8,n5)
& n15 = sum(n4,n11)
& n4 = sum(n10,n10)
& n5 = sum(n15,n6) ) ),
introduced(choice_axiom,[]) ).
fof(f3,plain,
? [X0,X1,X2] :
( n12 = sum(n11,n1)
& n11 = sum(n14,n13)
& n2 = sum(n0,n2)
& n1 != n7
& n5 != n11
& n5 = sum(n11,n10)
& n7 = sum(n4,n3)
& n1 = sum(n14,n3)
& n5 != n9
& n2 != n10
& n15 = sum(n3,n12)
& n4 != n10
& n6 != n9
& n2 = sum(n14,n4)
& n11 = sum(n0,n11)
& n3 != n14
& n9 = sum(n1,n8)
& n10 = sum(n11,n15)
& n7 = sum(n13,n10)
& n13 = sum(n9,n4)
& n0 != n14
& n7 = sum(n5,n2)
& n6 = sum(n1,n5)
& n13 = sum(n0,n13)
& n5 = sum(n8,n13)
& n10 != n11
& n0 = pred(n1)
& n1 != n15
& n0 = sum(n5,n11)
& n1 != n14
& n7 = sum(n7,n0)
& n2 != n9
& n5 = sum(n14,n7)
& n0 != n1
& n7 != n14
& n5 != n6
& n4 != n12
& n1 != n12
& n9 = sum(n2,n7)
& n7 = sum(n1,n6)
& n10 = sum(n7,n3)
& n1 = sum(n1,n0)
& n8 != n14
& n5 = sum(n10,n11)
& n8 = pred(n9)
& n6 = sum(n8,n14)
& n2 = sum(n13,n5)
& n7 != n13
& n9 = sum(n0,n9)
& n12 != X0
& n11 = sum(n2,n9)
& n4 != X0
& n6 = sum(n0,n6)
& n11 = sum(n7,n4)
& n12 = sum(n5,n7)
& n0 != n10
& n11 = sum(n11,n0)
& n13 = sum(n2,n11)
& n4 = sum(n9,n11)
& n6 = sum(n12,n10)
& n8 = sum(n2,n6)
& n1 != n5
& n15 = sum(n2,n13)
& n4 != n13
& n3 != n15
& n0 != n3
& n13 != X0
& n9 = pred(n10)
& n2 = sum(n5,n13)
& n10 = sum(n9,n1)
& n11 = sum(n13,n14)
& n8 = sum(n12,n12)
& n2 != n15
& n10 = sum(n1,n9)
& n1 != n8
& succ(n14) = n15
& n9 != n14
& n7 != n8
& n15 = sum(n6,n9)
& n15 = sum(n10,n5)
& n6 = sum(n6,n0)
& n2 != n8
& n3 != n9
& n1 = sum(n9,n8)
& succ(n10) = n11
& n14 = sum(n11,n3)
& n2 = sum(n15,n3)
& n6 != n8
& n11 = sum(n4,n7)
& n10 != n13
& n0 = sum(n7,n9)
& n1 = sum(n3,n14)
& n9 = sum(n15,n10)
& n5 != n13
& succ(n9) = n10
& n1 != n4
& n15 = sum(n8,n7)
& succ(n13) = n14
& n2 = sum(n8,n10)
& n5 != n12
& n11 != n14
& n0 != X0
& n6 = sum(n13,n9)
& succ(n0) = n1
& n1 != n9
& n5 = sum(n1,n4)
& n10 = sum(n14,n12)
& n14 = pred(n15)
& n15 = sum(n0,n15)
& n15 = sum(n1,n14)
& n2 != X0
& n15 = sum(n15,n0)
& n3 = sum(n8,n11)
& n5 != X0
& n5 != n10
& n6 != n12
& n1 != n13
& n12 = sum(n15,n13)
& n14 != n15
& n0 != n13
& n1 = sum(n0,n1)
& n2 != n4
& n0 = sum(n4,n12)
& n7 = sum(n12,n11)
& n2 = sum(n10,n8)
& n13 = sum(n4,n9)
& n8 != X0
& n1 = sum(n15,n2)
& n13 != n15
& n1 = sum(n5,n12)
& n10 = sum(n2,n8)
& n12 = sum(n12,n0)
& n4 != n5
& n7 != n9
& n13 = sum(n10,n3)
& n14 = sum(n14,n0)
& n6 != n7
& n0 = sum(n6,n10)
& n7 = sum(n0,n7)
& n7 != n15
& n11 = sum(n1,n10)
& n6 = sum(n11,n11)
& n10 != n14
& n12 = sum(n1,n11)
& n0 != n15
& n4 = sum(n15,n5)
& n3 != n7
& n9 = sum(n5,n4)
& n1 = sum(n4,n13)
& n4 = sum(n11,n9)
& n8 = sum(n6,n2)
& n11 = sum(n5,n6)
& n3 = sum(n10,n9)
& n5 = sum(n0,n5)
& ( n2 = X2
| n3 = X2
| n15 = X2
| n1 = X2
| n5 = X2
| n14 = X2
| n13 = X2
| n10 = X2
| n4 = X2
| n9 = X2
| n12 = X2
| n7 = X2
| n6 = X2
| n11 = X2
| n8 = X2
| n0 = X2 )
& n3 != n8
& n6 = sum(n3,n3)
& n3 != n6
& n2 != n12
& n3 != n12
& n0 = sum(n1,n15)
& n5 = sum(n6,n15)
& n4 != n8
& n8 = sum(n1,n7)
& n4 = sum(n7,n13)
& n3 != n5
& n10 = sum(n10,n0)
& n4 != n6
& n1 != n10
& n4 != n11
& n5 = sum(n13,n8)
& n11 = sum(n6,n5)
& n0 != n9
& n12 = sum(n9,n3)
& n0 != n6
& n4 = sum(n2,n2)
& n0 = sum(n2,n14)
& n4 = sum(n8,n12)
& n2 = sum(n3,n15)
& n13 = sum(n15,n14)
& n7 = sum(n6,n1)
& n15 != X0
& n13 = pred(n14)
& n7 = sum(n8,n15)
& n14 = sum(n15,n15)
& n2 = sum(n1,n1)
& n3 = sum(n11,n8)
& n13 = sum(n1,n12)
& n9 = sum(n6,n3)
& n2 = sum(n12,n6)
& n1 = sum(n13,n4)
& n0 != n4
& succ(n2) = n3
& n2 != n7
& n1 != n11
& n9 = sum(n3,n6)
& n0 != n5
& n14 = sum(n5,n9)
& n6 != X0
& n13 = sum(n12,n1)
& n11 != n12
& sum(pred(sum(X2,succ(X1))),sum(X1,pred(sum(X2,X1)))) = X0
& n15 = sum(n12,n3)
& n2 = sum(n2,n0)
& n7 = pred(n8)
& n13 = sum(n7,n6)
& n6 != n11
& succ(n3) = n4
& n2 != n5
& n11 = sum(n12,n15)
& n8 != n9
& n3 != n4
& n14 != X0
& n6 != n14
& n0 = sum(n10,n6)
& n2 = sum(n9,n9)
& n6 = sum(n7,n15)
& n10 != n12
& n12 != n14
& n3 != X0
& n2 != n14
& n8 != n10
& n5 != n14
& n8 != n11
& n0 = succ(n15)
& n0 = sum(n8,n8)
& n8 = sum(n3,n5)
& succ(n1) = n2
& n8 = sum(n14,n10)
& n13 = sum(n13,n0)
& n6 = sum(n2,n4)
& ( n12 = X1
| n6 = X1
| n1 = X1
| n4 = X1
| n7 = X1
| n10 = X1
| n9 = X1
| n8 = X1
| n2 = X1
| n11 = X1
| n13 = X1
| n5 = X1
| n14 = X1
| n3 = X1
| n0 = X1
| n15 = X1 )
& n11 = sum(n15,n12)
& n12 = sum(n6,n6)
& n6 = sum(n15,n7)
& n9 = sum(n10,n15)
& n13 != n14
& n5 = pred(n6)
& n13 = sum(n14,n15)
& n14 = sum(n3,n11)
& n4 = sum(n5,n15)
& n7 != n12
& n5 = sum(n5,n0)
& n0 != n2
& n14 = sum(n7,n7)
& n1 != n2
& n9 = sum(n8,n1)
& n10 = sum(n5,n5)
& n0 = sum(n9,n7)
& succ(n11) = n12
& n14 = sum(n10,n4)
& n1 != n6
& n14 = sum(n2,n12)
& n13 = sum(n6,n7)
& n12 = sum(n14,n14)
& n8 != n12
& n11 != X0
& n3 = sum(n15,n4)
& n8 = sum(n10,n14)
& n11 = sum(n3,n8)
& n14 = sum(n13,n1)
& n4 != n9
& n10 = sum(n15,n11)
& n1 = sum(n8,n9)
& n12 = sum(n3,n9)
& n4 != n7
& n9 = sum(n7,n2)
& n4 != n14
& n5 = sum(n2,n3)
& n9 = sum(n4,n5)
& n1 = sum(n10,n7)
& succ(n5) = n6
& n3 = sum(n13,n6)
& n1 = sum(n6,n11)
& n3 = sum(n1,n2)
& n3 = sum(n12,n7)
& n0 = sum(n12,n4)
& n1 = pred(n2)
& n2 != n11
& n2 != n6
& n7 = sum(n11,n12)
& n6 = sum(n5,n1)
& n14 = sum(n4,n10)
& n3 = sum(n2,n1)
& n9 = sum(n11,n14)
& n2 = pred(n3)
& n0 != n11
& n7 = sum(n10,n13)
& n11 != n15
& n6 != n10
& n8 = sum(n7,n1)
& n1 != n3
& n5 != n15
& n13 = sum(n11,n2)
& n3 = pred(n4)
& n8 = sum(n15,n9)
& n5 = sum(n4,n1)
& n3 != n11
& n10 = sum(n0,n10)
& n9 = sum(n13,n12)
& n4 = sum(n14,n6)
& n9 != n12
& n14 = sum(n0,n14)
& n13 = sum(n5,n8)
& n8 = sum(n13,n11)
& n10 = sum(n13,n13)
& n3 = sum(n7,n12)
& n15 = sum(n11,n4)
& n4 = pred(n5)
& n5 = sum(n7,n14)
& n8 = sum(n8,n0)
& n0 != n12
& n11 != n13
& n2 = sum(n6,n12)
& n10 = sum(n4,n6)
& n10 != X0
& n14 = sum(n12,n2)
& n10 = pred(n11)
& n6 = sum(n14,n8)
& n14 = sum(n8,n6)
& n7 = sum(n3,n4)
& n2 = sum(n11,n7)
& n7 != X0
& n1 = sum(n2,n15)
& n5 = sum(n9,n12)
& n4 = sum(n13,n7)
& n3 = sum(n3,n0)
& n2 = sum(n4,n14)
& n1 = sum(n12,n5)
& n0 = sum(n13,n3)
& n9 != n13
& n10 = sum(n8,n2)
& n1 = sum(n11,n6)
& n11 = pred(n12)
& n0 != n7
& n9 != n15
& n2 != n3
& n12 = pred(n13)
& n15 = pred(n0)
& n1 = sum(n7,n10)
& n15 = sum(n7,n8)
& n14 = sum(n6,n8)
& n8 != n13
& n7 != n11
& n0 = sum(n0,n0)
& n8 = sum(n11,n13)
& n8 = sum(n0,n8)
& n7 = sum(n2,n5)
& n9 != n10
& n6 != n13
& n12 != n15
& n10 = sum(n6,n4)
& n6 = pred(n7)
& n10 = sum(n3,n7)
& n0 = sum(n15,n1)
& n5 = sum(n12,n9)
& succ(n6) = n7
& n4 = sum(n4,n0)
& succ(n4) = n5
& succ(n7) = n8
& n4 = sum(n3,n1)
& n12 = sum(n10,n2)
& n12 = sum(n8,n4)
& n8 = sum(n5,n3)
& n10 != n15
& n1 != X0
& n8 = sum(n9,n15)
& n15 = sum(n14,n1)
& n4 = sum(n12,n8)
& n4 = sum(n6,n14)
& n2 = sum(n7,n11)
& succ(n8) = n9
& n14 = sum(n9,n5)
& n0 != n8
& n6 = sum(n9,n13)
& n6 = sum(n4,n2)
& n12 = sum(n7,n5)
& n0 = sum(n14,n2)
& n7 = sum(n9,n14)
& n3 = sum(n5,n14)
& n4 = sum(n1,n3)
& n5 != n7
& n0 = sum(n3,n13)
& n15 = sum(n9,n6)
& n9 = sum(n9,n0)
& n11 = sum(n9,n2)
& n4 = sum(n0,n4)
& n7 != n10
& n0 = sum(n11,n5)
& n8 != n15
& n12 = sum(n13,n15)
& n4 != n15
& n11 = sum(n8,n3)
& n15 = sum(n5,n10)
& n12 = sum(n0,n12)
& n9 = sum(n14,n11)
& n3 = sum(n4,n15)
& n12 = sum(n2,n10)
& n7 = sum(n15,n8)
& n5 != n8
& n12 != n13
& n11 = sum(n10,n1)
& n14 = sum(n1,n13)
& succ(n12) = n13
& n15 = sum(n13,n2)
& n9 != n11
& n3 = sum(n0,n3)
& n3 = sum(n9,n10)
& n8 = sum(n4,n4)
& n2 != n13
& n7 = sum(n14,n9)
& n6 != n15
& n12 = sum(n4,n8)
& n10 = sum(n12,n14)
& n3 = sum(n14,n5)
& n3 != n10
& n6 = sum(n10,n12)
& n3 = sum(n6,n13)
& n5 = sum(n3,n2)
& n9 != X0
& n9 = sum(n12,n13)
& n13 = sum(n3,n10)
& n3 != n13
& n13 = sum(n8,n5)
& n15 = sum(n4,n11)
& n4 = sum(n10,n10)
& n5 = sum(n15,n6) ),
inference(rectify,[],[f2]) ).
fof(f2,plain,
? [X0,X2,X1] :
( n12 = sum(n11,n1)
& n11 = sum(n14,n13)
& n2 = sum(n0,n2)
& n1 != n7
& n5 != n11
& n5 = sum(n11,n10)
& n7 = sum(n4,n3)
& n1 = sum(n14,n3)
& n5 != n9
& n2 != n10
& n15 = sum(n3,n12)
& n4 != n10
& n6 != n9
& n2 = sum(n14,n4)
& n11 = sum(n0,n11)
& n3 != n14
& n9 = sum(n1,n8)
& n10 = sum(n11,n15)
& n7 = sum(n13,n10)
& n13 = sum(n9,n4)
& n0 != n14
& n7 = sum(n5,n2)
& n6 = sum(n1,n5)
& n13 = sum(n0,n13)
& n5 = sum(n8,n13)
& n10 != n11
& n0 = pred(n1)
& n1 != n15
& n0 = sum(n5,n11)
& n1 != n14
& n7 = sum(n7,n0)
& n2 != n9
& n5 = sum(n14,n7)
& n0 != n1
& n7 != n14
& n5 != n6
& n4 != n12
& n1 != n12
& n9 = sum(n2,n7)
& n7 = sum(n1,n6)
& n10 = sum(n7,n3)
& n1 = sum(n1,n0)
& n8 != n14
& n5 = sum(n10,n11)
& n8 = pred(n9)
& n6 = sum(n8,n14)
& n2 = sum(n13,n5)
& n7 != n13
& n9 = sum(n0,n9)
& n12 != X0
& n11 = sum(n2,n9)
& n4 != X0
& n6 = sum(n0,n6)
& n11 = sum(n7,n4)
& n12 = sum(n5,n7)
& n0 != n10
& n11 = sum(n11,n0)
& n13 = sum(n2,n11)
& n4 = sum(n9,n11)
& n6 = sum(n12,n10)
& n8 = sum(n2,n6)
& n1 != n5
& n15 = sum(n2,n13)
& n4 != n13
& n3 != n15
& n0 != n3
& n13 != X0
& n9 = pred(n10)
& n2 = sum(n5,n13)
& n10 = sum(n9,n1)
& n11 = sum(n13,n14)
& n8 = sum(n12,n12)
& n2 != n15
& n10 = sum(n1,n9)
& n1 != n8
& succ(n14) = n15
& n9 != n14
& n7 != n8
& n15 = sum(n6,n9)
& n15 = sum(n10,n5)
& n6 = sum(n6,n0)
& n2 != n8
& n3 != n9
& n1 = sum(n9,n8)
& succ(n10) = n11
& n14 = sum(n11,n3)
& n2 = sum(n15,n3)
& n6 != n8
& n11 = sum(n4,n7)
& n10 != n13
& n0 = sum(n7,n9)
& n1 = sum(n3,n14)
& n9 = sum(n15,n10)
& n5 != n13
& succ(n9) = n10
& n1 != n4
& n15 = sum(n8,n7)
& succ(n13) = n14
& n2 = sum(n8,n10)
& n5 != n12
& n11 != n14
& n0 != X0
& n6 = sum(n13,n9)
& succ(n0) = n1
& n1 != n9
& n5 = sum(n1,n4)
& n10 = sum(n14,n12)
& n14 = pred(n15)
& n15 = sum(n0,n15)
& n15 = sum(n1,n14)
& n2 != X0
& n15 = sum(n15,n0)
& n3 = sum(n8,n11)
& n5 != X0
& n5 != n10
& n6 != n12
& n1 != n13
& n12 = sum(n15,n13)
& n14 != n15
& n0 != n13
& n1 = sum(n0,n1)
& n2 != n4
& n0 = sum(n4,n12)
& n7 = sum(n12,n11)
& n2 = sum(n10,n8)
& n13 = sum(n4,n9)
& n8 != X0
& n1 = sum(n15,n2)
& n13 != n15
& n1 = sum(n5,n12)
& n10 = sum(n2,n8)
& n12 = sum(n12,n0)
& n4 != n5
& n7 != n9
& n13 = sum(n10,n3)
& n14 = sum(n14,n0)
& n6 != n7
& n0 = sum(n6,n10)
& n7 = sum(n0,n7)
& n7 != n15
& n11 = sum(n1,n10)
& n6 = sum(n11,n11)
& n10 != n14
& n12 = sum(n1,n11)
& n0 != n15
& n4 = sum(n15,n5)
& n3 != n7
& n9 = sum(n5,n4)
& n1 = sum(n4,n13)
& n4 = sum(n11,n9)
& n8 = sum(n6,n2)
& n11 = sum(n5,n6)
& n3 = sum(n10,n9)
& n5 = sum(n0,n5)
& ( n2 = X1
| n3 = X1
| n15 = X1
| n1 = X1
| n5 = X1
| n14 = X1
| n13 = X1
| n10 = X1
| n4 = X1
| n9 = X1
| n12 = X1
| n7 = X1
| n6 = X1
| n11 = X1
| n8 = X1
| n0 = X1 )
& n3 != n8
& n6 = sum(n3,n3)
& n3 != n6
& n2 != n12
& n3 != n12
& n0 = sum(n1,n15)
& n5 = sum(n6,n15)
& n4 != n8
& n8 = sum(n1,n7)
& n4 = sum(n7,n13)
& n3 != n5
& n10 = sum(n10,n0)
& n4 != n6
& n1 != n10
& n4 != n11
& n5 = sum(n13,n8)
& n11 = sum(n6,n5)
& n0 != n9
& n12 = sum(n9,n3)
& n0 != n6
& n4 = sum(n2,n2)
& n0 = sum(n2,n14)
& n4 = sum(n8,n12)
& n2 = sum(n3,n15)
& n13 = sum(n15,n14)
& n7 = sum(n6,n1)
& n15 != X0
& n13 = pred(n14)
& n7 = sum(n8,n15)
& n14 = sum(n15,n15)
& n2 = sum(n1,n1)
& n3 = sum(n11,n8)
& n13 = sum(n1,n12)
& n9 = sum(n6,n3)
& n2 = sum(n12,n6)
& n1 = sum(n13,n4)
& n0 != n4
& succ(n2) = n3
& n2 != n7
& n1 != n11
& n9 = sum(n3,n6)
& n0 != n5
& n14 = sum(n5,n9)
& n6 != X0
& n13 = sum(n12,n1)
& n11 != n12
& sum(pred(sum(X1,succ(X2))),sum(X2,pred(sum(X1,X2)))) = X0
& n15 = sum(n12,n3)
& n2 = sum(n2,n0)
& n7 = pred(n8)
& n13 = sum(n7,n6)
& n6 != n11
& succ(n3) = n4
& n2 != n5
& n11 = sum(n12,n15)
& n8 != n9
& n3 != n4
& n14 != X0
& n6 != n14
& n0 = sum(n10,n6)
& n2 = sum(n9,n9)
& n6 = sum(n7,n15)
& n10 != n12
& n12 != n14
& n3 != X0
& n2 != n14
& n8 != n10
& n5 != n14
& n8 != n11
& n0 = succ(n15)
& n0 = sum(n8,n8)
& n8 = sum(n3,n5)
& succ(n1) = n2
& n8 = sum(n14,n10)
& n13 = sum(n13,n0)
& n6 = sum(n2,n4)
& ( n12 = X2
| n6 = X2
| n1 = X2
| n4 = X2
| n7 = X2
| n10 = X2
| n9 = X2
| n8 = X2
| n2 = X2
| n11 = X2
| n13 = X2
| n5 = X2
| n14 = X2
| n3 = X2
| n0 = X2
| n15 = X2 )
& n11 = sum(n15,n12)
& n12 = sum(n6,n6)
& n6 = sum(n15,n7)
& n9 = sum(n10,n15)
& n13 != n14
& n5 = pred(n6)
& n13 = sum(n14,n15)
& n14 = sum(n3,n11)
& n4 = sum(n5,n15)
& n7 != n12
& n5 = sum(n5,n0)
& n0 != n2
& n14 = sum(n7,n7)
& n1 != n2
& n9 = sum(n8,n1)
& n10 = sum(n5,n5)
& n0 = sum(n9,n7)
& succ(n11) = n12
& n14 = sum(n10,n4)
& n1 != n6
& n14 = sum(n2,n12)
& n13 = sum(n6,n7)
& n12 = sum(n14,n14)
& n8 != n12
& n11 != X0
& n3 = sum(n15,n4)
& n8 = sum(n10,n14)
& n11 = sum(n3,n8)
& n14 = sum(n13,n1)
& n4 != n9
& n10 = sum(n15,n11)
& n1 = sum(n8,n9)
& n12 = sum(n3,n9)
& n4 != n7
& n9 = sum(n7,n2)
& n4 != n14
& n5 = sum(n2,n3)
& n9 = sum(n4,n5)
& n1 = sum(n10,n7)
& succ(n5) = n6
& n3 = sum(n13,n6)
& n1 = sum(n6,n11)
& n3 = sum(n1,n2)
& n3 = sum(n12,n7)
& n0 = sum(n12,n4)
& n1 = pred(n2)
& n2 != n11
& n2 != n6
& n7 = sum(n11,n12)
& n6 = sum(n5,n1)
& n14 = sum(n4,n10)
& n3 = sum(n2,n1)
& n9 = sum(n11,n14)
& n2 = pred(n3)
& n0 != n11
& n7 = sum(n10,n13)
& n11 != n15
& n6 != n10
& n8 = sum(n7,n1)
& n1 != n3
& n5 != n15
& n13 = sum(n11,n2)
& n3 = pred(n4)
& n8 = sum(n15,n9)
& n5 = sum(n4,n1)
& n3 != n11
& n10 = sum(n0,n10)
& n9 = sum(n13,n12)
& n4 = sum(n14,n6)
& n9 != n12
& n14 = sum(n0,n14)
& n13 = sum(n5,n8)
& n8 = sum(n13,n11)
& n10 = sum(n13,n13)
& n3 = sum(n7,n12)
& n15 = sum(n11,n4)
& n4 = pred(n5)
& n5 = sum(n7,n14)
& n8 = sum(n8,n0)
& n0 != n12
& n11 != n13
& n2 = sum(n6,n12)
& n10 = sum(n4,n6)
& n10 != X0
& n14 = sum(n12,n2)
& n10 = pred(n11)
& n6 = sum(n14,n8)
& n14 = sum(n8,n6)
& n7 = sum(n3,n4)
& n2 = sum(n11,n7)
& n7 != X0
& n1 = sum(n2,n15)
& n5 = sum(n9,n12)
& n4 = sum(n13,n7)
& n3 = sum(n3,n0)
& n2 = sum(n4,n14)
& n1 = sum(n12,n5)
& n0 = sum(n13,n3)
& n9 != n13
& n10 = sum(n8,n2)
& n1 = sum(n11,n6)
& n11 = pred(n12)
& n0 != n7
& n9 != n15
& n2 != n3
& n12 = pred(n13)
& n15 = pred(n0)
& n1 = sum(n7,n10)
& n15 = sum(n7,n8)
& n14 = sum(n6,n8)
& n8 != n13
& n7 != n11
& n0 = sum(n0,n0)
& n8 = sum(n11,n13)
& n8 = sum(n0,n8)
& n7 = sum(n2,n5)
& n9 != n10
& n6 != n13
& n12 != n15
& n10 = sum(n6,n4)
& n6 = pred(n7)
& n10 = sum(n3,n7)
& n0 = sum(n15,n1)
& n5 = sum(n12,n9)
& succ(n6) = n7
& n4 = sum(n4,n0)
& succ(n4) = n5
& succ(n7) = n8
& n4 = sum(n3,n1)
& n12 = sum(n10,n2)
& n12 = sum(n8,n4)
& n8 = sum(n5,n3)
& n10 != n15
& n1 != X0
& n8 = sum(n9,n15)
& n15 = sum(n14,n1)
& n4 = sum(n12,n8)
& n4 = sum(n6,n14)
& n2 = sum(n7,n11)
& succ(n8) = n9
& n14 = sum(n9,n5)
& n0 != n8
& n6 = sum(n9,n13)
& n6 = sum(n4,n2)
& n12 = sum(n7,n5)
& n0 = sum(n14,n2)
& n7 = sum(n9,n14)
& n3 = sum(n5,n14)
& n4 = sum(n1,n3)
& n5 != n7
& n0 = sum(n3,n13)
& n15 = sum(n9,n6)
& n9 = sum(n9,n0)
& n11 = sum(n9,n2)
& n4 = sum(n0,n4)
& n7 != n10
& n0 = sum(n11,n5)
& n8 != n15
& n12 = sum(n13,n15)
& n4 != n15
& n11 = sum(n8,n3)
& n15 = sum(n5,n10)
& n12 = sum(n0,n12)
& n9 = sum(n14,n11)
& n3 = sum(n4,n15)
& n12 = sum(n2,n10)
& n7 = sum(n15,n8)
& n5 != n8
& n12 != n13
& n11 = sum(n10,n1)
& n14 = sum(n1,n13)
& succ(n12) = n13
& n15 = sum(n13,n2)
& n9 != n11
& n3 = sum(n0,n3)
& n3 = sum(n9,n10)
& n8 = sum(n4,n4)
& n2 != n13
& n7 = sum(n14,n9)
& n6 != n15
& n12 = sum(n4,n8)
& n10 = sum(n12,n14)
& n3 = sum(n14,n5)
& n3 != n10
& n6 = sum(n10,n12)
& n3 = sum(n6,n13)
& n5 = sum(n3,n2)
& n9 != X0
& n9 = sum(n12,n13)
& n13 = sum(n3,n10)
& n3 != n13
& n13 = sum(n8,n5)
& n15 = sum(n4,n11)
& n4 = sum(n10,n10)
& n5 = sum(n15,n6) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
? [X2,X0,X1] :
( n0 = sum(n5,n11)
& n1 != n14
& n1 != n2
& n0 != n10
& n5 = sum(n10,n11)
& n9 = sum(n13,n12)
& n6 != n9
& n1 = sum(n11,n6)
& n6 = sum(n7,n15)
& n15 = sum(n6,n9)
& n3 != n5
& n13 = sum(n11,n2)
& n6 = sum(n4,n2)
& n0 != n1
& n2 != n15
& n2 = sum(n2,n0)
& n7 = sum(n3,n4)
& n14 = sum(n10,n4)
& n6 = sum(n14,n8)
& n9 != n14
& n0 != n4
& n0 != n6
& succ(n7) = n8
& n7 != n11
& n5 = sum(n11,n10)
& n2 = sum(n9,n9)
& n9 = sum(n12,n13)
& n8 = sum(n1,n7)
& n13 = sum(n4,n9)
& n8 != n13
& n4 = sum(n1,n3)
& n1 != n12
& n5 = sum(n0,n5)
& n0 != n9
& n0 != n5
& n6 != n14
& n1 = sum(n10,n7)
& n10 = sum(n0,n10)
& n6 = sum(n13,n9)
& n0 != n2
& n9 = pred(n10)
& n12 = sum(n0,n12)
& n0 = sum(n14,n2)
& n11 = sum(n14,n13)
& n6 = sum(n12,n10)
& n3 = sum(n9,n10)
& n12 = sum(n13,n15)
& succ(n6) = n7
& n5 != n9
& n4 != n10
& n2 = sum(n6,n12)
& n9 = sum(n11,n14)
& n1 != n13
& n7 = sum(n1,n6)
& n12 = sum(n1,n11)
& n5 = sum(n8,n13)
& n3 = sum(n12,n7)
& n2 = sum(n3,n15)
& n12 = pred(n13)
& n13 = sum(n12,n1)
& n12 = sum(n8,n4)
& n10 = sum(n9,n1)
& n7 = sum(n4,n3)
& n11 = sum(n0,n11)
& n9 = sum(n3,n6)
& n8 != n9
& succ(n13) = n14
& n9 != n13
& n11 = sum(n5,n6)
& n14 = pred(n15)
& n0 = sum(n4,n12)
& n1 = sum(n0,n1)
& n10 = sum(n14,n12)
& succ(n12) = n13
& n3 = pred(n4)
& n11 = pred(n12)
& n3 = sum(n15,n4)
& n5 != n11
& n1 = sum(n5,n12)
& n5 != n6
& ( n14 = X1
| n13 = X1
| n6 = X1
| n0 = X1
| n2 = X1
| n10 = X1
| n15 = X1
| n1 = X1
| n8 = X1
| n9 = X1
| n7 = X1
| n5 = X1
| n12 = X1
| n3 = X1
| n11 = X1
| n4 = X1 )
& n15 != X2
& n9 = sum(n2,n7)
& n7 != n15
& n2 = sum(n12,n6)
& n0 = sum(n3,n13)
& n11 = sum(n12,n15)
& n5 != n8
& n2 = sum(n10,n8)
& n0 = sum(n7,n9)
& n15 = sum(n7,n8)
& n1 = sum(n4,n13)
& n1 != n15
& n2 = sum(n15,n3)
& n15 = pred(n0)
& n4 = sum(n5,n15)
& n9 = sum(n14,n11)
& n9 = sum(n0,n9)
& n10 = sum(n11,n15)
& n2 = sum(n0,n2)
& n8 = sum(n15,n9)
& n4 = sum(n13,n7)
& n15 = sum(n8,n7)
& n8 != X2
& n0 = sum(n15,n1)
& n0 != n14
& succ(n1) = n2
& n2 = sum(n7,n11)
& n12 = sum(n6,n6)
& n2 != n4
& n10 = sum(n15,n11)
& n4 = sum(n15,n5)
& n5 = sum(n14,n7)
& n8 = sum(n6,n2)
& n4 = sum(n11,n9)
& n2 != n11
& n3 != n8
& n3 != n13
& n1 = sum(n12,n5)
& n3 != n6
& n12 = sum(n4,n8)
& n5 = sum(n12,n9)
& succ(n14) = n15
& n8 != n12
& n9 = sum(n1,n8)
& n11 = sum(n13,n14)
& n4 = sum(n6,n14)
& n2 = sum(n13,n5)
& n2 = sum(n1,n1)
& n1 = sum(n6,n11)
& n7 = sum(n9,n14)
& n14 = sum(n13,n1)
& n7 = sum(n2,n5)
& n1 = pred(n2)
& n14 = sum(n2,n12)
& n2 != X2
& n7 = sum(n7,n0)
& n11 = sum(n15,n12)
& n14 != n15
& n8 = sum(n2,n6)
& n6 = sum(n0,n6)
& n15 = sum(n10,n5)
& n8 = sum(n7,n1)
& n14 != X2
& n0 = sum(n1,n15)
& n13 = sum(n5,n8)
& succ(n10) = n11
& n3 = sum(n5,n14)
& n8 = sum(n8,n0)
& n3 = sum(n2,n1)
& n8 != n15
& n9 = sum(n9,n0)
& succ(n5) = n6
& n0 = sum(n10,n6)
& n7 = sum(n15,n8)
& n6 = sum(n5,n1)
& n10 != n11
& n10 = pred(n11)
& n0 = sum(n12,n4)
& n5 != n10
& n7 != n14
& n9 = sum(n5,n4)
& n0 != n8
& n1 != n3
& n1 = sum(n3,n14)
& n4 != n5
& n10 = sum(n3,n7)
& n8 != n14
& n12 != X2
& n1 != n11
& n6 = sum(n15,n7)
& n3 = sum(n10,n9)
& n7 = sum(n5,n2)
& n3 != n15
& n15 = sum(n5,n10)
& n10 = sum(n10,n0)
& n7 != n10
& n11 = sum(n3,n8)
& n1 != n6
& n6 != n10
& n6 = pred(n7)
& n2 = sum(n5,n13)
& n0 != n15
& n8 != n11
& n14 = sum(n0,n14)
& n6 != n7
& n10 != n15
& n13 = sum(n2,n11)
& n7 = sum(n11,n12)
& n10 = sum(n7,n3)
& n0 != n7
& n0 = succ(n15)
& n8 = sum(n9,n15)
& n3 = sum(n3,n0)
& n15 = sum(n13,n2)
& n6 != n8
& n5 != n7
& n7 != X2
& n13 = sum(n8,n5)
& n12 = sum(n5,n7)
& n4 = sum(n3,n1)
& n8 != n10
& n15 = sum(n0,n15)
& n9 = sum(n10,n15)
& n8 = sum(n14,n10)
& n15 = sum(n2,n13)
& n6 = sum(n1,n5)
& n2 != n12
& succ(n3) = n4
& n12 != n14
& n12 = sum(n14,n14)
& n10 != n12
& n10 = sum(n8,n2)
& n11 = sum(n6,n5)
& n1 = sum(n8,n9)
& n9 = sum(n8,n1)
& n2 != n6
& n4 = sum(n7,n13)
& n6 = sum(n9,n13)
& n4 = sum(n10,n10)
& n10 = sum(n5,n5)
& n3 = sum(n6,n13)
& n12 = sum(n2,n10)
& n6 = sum(n3,n3)
& n13 = sum(n9,n4)
& n9 = sum(n15,n10)
& n8 = sum(n0,n8)
& succ(n0) = n1
& n10 = sum(n4,n6)
& sum(pred(sum(X0,succ(X1))),sum(X1,pred(sum(X0,X1)))) = X2
& n7 = pred(n8)
& n5 = sum(n9,n12)
& n2 = sum(n11,n7)
& succ(n8) = n9
& n9 != n11
& n13 = sum(n7,n6)
& succ(n11) = n12
& n11 != n14
& n5 = pred(n6)
& n11 != n12
& n4 != n8
& n14 = sum(n8,n6)
& n5 != n14
& n11 = sum(n11,n0)
& n3 != n10
& n1 = sum(n2,n15)
& n3 = sum(n4,n15)
& n2 != n8
& n5 != X2
& n10 = sum(n1,n9)
& n6 != X2
& n0 = sum(n8,n8)
& n0 = sum(n13,n3)
& n7 != n13
& n8 = sum(n11,n13)
& n1 != n7
& n7 = sum(n14,n9)
& n1 = sum(n15,n2)
& n9 = sum(n4,n5)
& n2 != n7
& n12 = sum(n15,n13)
& n11 = sum(n1,n10)
& n5 != n13
& n8 = sum(n13,n11)
& n1 != n5
& n15 = sum(n9,n6)
& n13 = sum(n13,n0)
& n12 = sum(n10,n2)
& n9 != X2
& n4 != n13
& n4 = sum(n4,n0)
& n15 = sum(n12,n3)
& n7 = sum(n6,n1)
& n15 = sum(n11,n4)
& n7 = sum(n13,n10)
& n2 = sum(n14,n4)
& n7 = sum(n8,n15)
& n6 = sum(n2,n4)
& n11 = sum(n10,n1)
& n15 = sum(n3,n12)
& n14 = sum(n7,n7)
& n5 = sum(n1,n4)
& n2 != n14
& n12 = sum(n3,n9)
& n9 != n12
& succ(n9) = n10
& n3 = sum(n7,n12)
& n5 = sum(n3,n2)
& n11 = sum(n4,n7)
& n3 = sum(n8,n11)
& n15 = sum(n4,n11)
& n14 = sum(n9,n5)
& n4 = sum(n12,n8)
& n10 != n13
& n9 = sum(n7,n2)
& n1 != n8
& n10 = sum(n13,n13)
& n3 != n7
& n6 = sum(n10,n12)
& n7 != n12
& n6 != n15
& n1 != n10
& n7 = sum(n12,n11)
& n2 != n3
& n3 != n12
& n14 = sum(n14,n0)
& n0 != n11
& n2 != n13
& n11 != X2
& n4 != n9
& n1 = sum(n7,n10)
& n13 = sum(n1,n12)
& n15 = sum(n1,n14)
& n14 = sum(n12,n2)
& n0 != X2
& n0 = sum(n6,n10)
& n10 = sum(n2,n8)
& n6 = sum(n11,n11)
& n6 != n11
& n4 != n7
& n2 != n5
& n12 = sum(n11,n1)
& n0 != n12
& n3 = sum(n0,n3)
& n5 != n15
& n11 != n13
& n15 = sum(n15,n0)
& n5 = sum(n15,n6)
& n7 != n9
& n4 != X2
& n11 = sum(n9,n2)
& n4 = pred(n5)
& n7 = sum(n0,n7)
& n15 = sum(n14,n1)
& n5 = sum(n6,n15)
& n1 != n4
& n2 = sum(n4,n14)
& n10 = sum(n12,n14)
& n5 != n12
& n2 != n10
& n4 != n11
& n4 = sum(n2,n2)
& n14 = sum(n3,n11)
& n7 != n8
& n8 = sum(n4,n4)
& n9 = sum(n6,n3)
& n0 = sum(n0,n0)
& n0 != n3
& n5 = sum(n7,n14)
& n8 = pred(n9)
& n3 != n14
& n1 != X2
& n5 = sum(n13,n8)
& n14 = sum(n15,n15)
& n1 = sum(n1,n0)
& n5 = sum(n2,n3)
& n8 = sum(n10,n14)
& n9 != n15
& n11 != n15
& n4 != n14
& n4 = sum(n9,n11)
& n4 != n15
& n11 = sum(n8,n3)
& n1 != n9
& n2 = pred(n3)
& n9 != n10
& n6 = sum(n8,n14)
& n13 = pred(n14)
& n10 = sum(n6,n4)
& n14 = sum(n11,n3)
& n0 = sum(n11,n5)
& n6 != n12
& n12 != n13
& n13 != X2
& n3 = sum(n1,n2)
& n0 = sum(n9,n7)
& n3 != n4
& n11 = sum(n2,n9)
& n7 = sum(n10,n13)
& n4 != n6
& n12 = sum(n7,n5)
& succ(n2) = n3
& n1 = sum(n9,n8)
& n2 = sum(n8,n10)
& n13 = sum(n15,n14)
& n8 = sum(n5,n3)
& n4 = sum(n8,n12)
& n1 = sum(n14,n3)
& ( n15 = X0
| n13 = X0
| n7 = X0
| n8 = X0
| n11 = X0
| n12 = X0
| n9 = X0
| n5 = X0
| n3 = X0
| n0 = X0
| n4 = X0
| n10 = X0
| n1 = X0
| n14 = X0
| n2 = X0
| n6 = X0 )
& n14 = sum(n6,n8)
& n3 != X2
& n0 = pred(n1)
& n4 = sum(n14,n6)
& n4 != n12
& succ(n4) = n5
& n10 != n14
& n12 != n15
& n6 = sum(n6,n0)
& n2 != n9
& n3 = sum(n14,n5)
& n13 != n14
& n5 = sum(n5,n0)
& n4 = sum(n0,n4)
& n14 = sum(n1,n13)
& n1 = sum(n13,n4)
& n11 = sum(n7,n4)
& n13 = sum(n6,n7)
& n8 = sum(n12,n12)
& n3 = sum(n11,n8)
& n12 = sum(n9,n3)
& n13 = sum(n10,n3)
& n13 = sum(n14,n15)
& n13 != n15
& n5 = sum(n4,n1)
& n3 != n11
& n10 != X2
& n0 != n13
& n13 = sum(n0,n13)
& n3 != n9
& n12 = sum(n12,n0)
& n13 = sum(n3,n10)
& n8 = sum(n3,n5)
& n3 = sum(n13,n6)
& n6 != n13
& n14 = sum(n5,n9)
& n14 = sum(n4,n10)
& n0 = sum(n2,n14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).
fof(f4916,plain,
( n14 = sK0
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4915,f182]) ).
fof(f182,plain,
n14 = sum(n10,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f4915,plain,
( sum(n10,n4) = sK0
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4914,f115]) ).
fof(f115,plain,
n10 = pred(n11),
inference(cnf_transformation,[],[f5]) ).
fof(f4914,plain,
( sum(pred(n11),n4) = sK0
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4913,f200]) ).
fof(f200,plain,
n11 = sum(n15,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f4913,plain,
( sum(pred(sum(n15,n12)),n4) = sK0
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4912,f183]) ).
fof(f183,plain,
succ(n11) = n12,
inference(cnf_transformation,[],[f5]) ).
fof(f4912,plain,
( sum(pred(sum(n15,succ(n11))),n4) = sK0
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4911,f283]) ).
fof(f283,plain,
n4 = sum(n11,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f4911,plain,
( sum(pred(sum(n15,succ(n11))),sum(n11,n9)) = sK0
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4910,f365]) ).
fof(f365,plain,
n9 = pred(n10),
inference(cnf_transformation,[],[f5]) ).
fof(f4910,plain,
( sum(pred(sum(n15,succ(n11))),sum(n11,pred(n10))) = sK0
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4909,f170]) ).
fof(f170,plain,
n10 = sum(n15,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f4909,plain,
( sum(pred(sum(n15,succ(n11))),sum(n11,pred(sum(n15,n11)))) = sK0
| ~ spl3_6
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4908,f456]) ).
fof(f456,plain,
( n15 = sK2
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f454,plain,
( spl3_6
<=> n15 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f4908,plain,
( sum(pred(sum(sK2,succ(n11))),sum(n11,pred(sum(sK2,n11)))) = sK0
| ~ spl3_20 ),
inference(forward_demodulation,[],[f231,f513]) ).
fof(f513,plain,
( n11 = sK1
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f511,plain,
( spl3_20
<=> n11 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f231,plain,
sum(pred(sum(sK2,succ(sK1))),sum(sK1,pred(sum(sK2,sK1)))) = sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f4906,plain,
( ~ spl3_6
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f4905]) ).
fof(f4905,plain,
( $false
| ~ spl3_6
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f4904,f366]) ).
fof(f366,plain,
n13 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f4904,plain,
( n13 = sK0
| ~ spl3_6
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4903,f253]) ).
fof(f253,plain,
n13 = sum(n15,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f4903,plain,
( sum(n15,n14) = sK0
| ~ spl3_6
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4902,f94]) ).
fof(f94,plain,
n15 = pred(n0),
inference(cnf_transformation,[],[f5]) ).
fof(f4902,plain,
( sum(pred(n0),n14) = sK0
| ~ spl3_6
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4901,f78]) ).
fof(f78,plain,
n0 = sum(n15,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f4901,plain,
( sum(pred(sum(n15,n1)),n14) = sK0
| ~ spl3_6
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4900,f329]) ).
fof(f329,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f5]) ).
fof(f4900,plain,
( sum(pred(sum(n15,succ(n0))),n14) = sK0
| ~ spl3_6
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4899,f130]) ).
fof(f130,plain,
n14 = sum(n0,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f4899,plain,
( sum(pred(sum(n15,succ(n0))),sum(n0,n14)) = sK0
| ~ spl3_6
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4898,f325]) ).
fof(f325,plain,
n14 = pred(n15),
inference(cnf_transformation,[],[f5]) ).
fof(f4898,plain,
( sum(pred(sum(n15,succ(n0))),sum(n0,pred(n15))) = sK0
| ~ spl3_6
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4897,f321]) ).
fof(f321,plain,
n15 = sum(n15,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f4897,plain,
( sum(pred(sum(n15,succ(n0))),sum(n0,pred(sum(n15,n0)))) = sK0
| ~ spl3_6
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4896,f456]) ).
fof(f4896,plain,
( sum(pred(sum(sK2,succ(n0))),sum(n0,pred(sum(sK2,n0)))) = sK0
| ~ spl3_32 ),
inference(forward_demodulation,[],[f231,f561]) ).
fof(f561,plain,
( n0 = sK1
| ~ spl3_32 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f559,plain,
( spl3_32
<=> n0 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_32])]) ).
fof(f4880,plain,
( ~ spl3_3
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f4879]) ).
fof(f4879,plain,
( $false
| ~ spl3_3
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f4878,f383]) ).
fof(f383,plain,
n12 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f4878,plain,
( n12 = sK0
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4877,f259]) ).
fof(f259,plain,
n12 = sum(n9,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f4877,plain,
( sum(n9,n3) = sK0
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4876,f365]) ).
fof(f4876,plain,
( sum(pred(n10),n3) = sK0
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4875,f326]) ).
fof(f326,plain,
n10 = sum(n14,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f4875,plain,
( sum(pred(sum(n14,n12)),n3) = sK0
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4874,f183]) ).
fof(f4874,plain,
( sum(pred(sum(n14,succ(n11))),n3) = sK0
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4873,f246]) ).
fof(f246,plain,
n3 = sum(n11,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f4873,plain,
( sum(pred(sum(n14,succ(n11))),sum(n11,n8)) = sK0
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4872,f388]) ).
fof(f388,plain,
n8 = pred(n9),
inference(cnf_transformation,[],[f5]) ).
fof(f4872,plain,
( sum(pred(sum(n14,succ(n11))),sum(n11,pred(n9))) = sK0
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4871,f37]) ).
fof(f37,plain,
n9 = sum(n14,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f4871,plain,
( sum(pred(sum(n14,succ(n11))),sum(n11,pred(sum(n14,n11)))) = sK0
| ~ spl3_3
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4870,f444]) ).
fof(f444,plain,
( n14 = sK2
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f442,plain,
( spl3_3
<=> n14 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f4870,plain,
( sum(pred(sum(sK2,succ(n11))),sum(n11,pred(sum(sK2,n11)))) = sK0
| ~ spl3_20 ),
inference(forward_demodulation,[],[f231,f513]) ).
fof(f4859,plain,
( ~ spl3_3
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f4858]) ).
fof(f4858,plain,
( $false
| ~ spl3_3
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f4857,f176]) ).
fof(f176,plain,
n11 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f4857,plain,
( n11 = sK0
| ~ spl3_3
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4856,f431]) ).
fof(f431,plain,
n11 = sum(n14,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f4856,plain,
( sum(n14,n13) = sK0
| ~ spl3_3
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4855,f325]) ).
fof(f4855,plain,
( sK0 = sum(pred(n15),n13)
| ~ spl3_3
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4854,f65]) ).
fof(f65,plain,
n15 = sum(n14,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f4854,plain,
( sum(pred(sum(n14,n1)),n13) = sK0
| ~ spl3_3
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4853,f409]) ).
fof(f409,plain,
n13 = sum(n0,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f4853,plain,
( sum(pred(sum(n14,n1)),sum(n0,n13)) = sK0
| ~ spl3_3
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4852,f250]) ).
fof(f250,plain,
n13 = pred(n14),
inference(cnf_transformation,[],[f5]) ).
fof(f4852,plain,
( sum(pred(sum(n14,n1)),sum(n0,pred(n14))) = sK0
| ~ spl3_3
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4851,f297]) ).
fof(f297,plain,
n14 = sum(n14,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f4851,plain,
( sum(pred(sum(n14,n1)),sum(n0,pred(sum(n14,n0)))) = sK0
| ~ spl3_3
| ~ spl3_32 ),
inference(backward_demodulation,[],[f4850,f444]) ).
fof(f4850,plain,
( sum(pred(sum(sK2,n1)),sum(n0,pred(sum(sK2,n0)))) = sK0
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4849,f329]) ).
fof(f4849,plain,
( sum(pred(sum(sK2,succ(n0))),sum(n0,pred(sum(sK2,n0)))) = sK0
| ~ spl3_32 ),
inference(forward_demodulation,[],[f231,f561]) ).
fof(f4841,plain,
( ~ spl3_6
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f4840]) ).
fof(f4840,plain,
( $false
| ~ spl3_6
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f4839,f322]) ).
fof(f322,plain,
n2 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f4839,plain,
( n2 = sK0
| ~ spl3_6
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4838,f119]) ).
fof(f119,plain,
n2 = sum(n6,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f4838,plain,
( sum(n6,n12) = sK0
| ~ spl3_6
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4837,f80]) ).
fof(f80,plain,
n6 = pred(n7),
inference(cnf_transformation,[],[f5]) ).
fof(f4837,plain,
( sum(pred(n7),n12) = sK0
| ~ spl3_6
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4836,f34]) ).
fof(f34,plain,
n7 = sum(n15,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f4836,plain,
( sum(pred(sum(n15,n8)),n12) = sK0
| ~ spl3_6
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4835,f73]) ).
fof(f73,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f5]) ).
fof(f4835,plain,
( sum(pred(sum(n15,succ(n7))),n12) = sK0
| ~ spl3_6
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4834,f56]) ).
fof(f56,plain,
n12 = sum(n7,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f4834,plain,
( sum(pred(sum(n15,succ(n7))),sum(n7,n5)) = sK0
| ~ spl3_6
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4833,f195]) ).
fof(f195,plain,
n5 = pred(n6),
inference(cnf_transformation,[],[f5]) ).
fof(f4833,plain,
( sum(pred(sum(n15,succ(n7))),sum(n7,pred(n6))) = sK0
| ~ spl3_6
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4832,f198]) ).
fof(f198,plain,
n6 = sum(n15,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f4832,plain,
( sum(pred(sum(n15,succ(n7))),sum(n7,pred(sum(n15,n7)))) = sK0
| ~ spl3_6
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4816,f456]) ).
fof(f4816,plain,
( sum(pred(sum(sK2,succ(n7))),sum(n7,pred(sum(sK2,n7)))) = sK0
| ~ spl3_27 ),
inference(forward_demodulation,[],[f231,f541]) ).
fof(f541,plain,
( n7 = sK1
| ~ spl3_27 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f539,plain,
( spl3_27
<=> n7 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).
fof(f4826,plain,
( ~ spl3_3
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f4825]) ).
fof(f4825,plain,
( $false
| ~ spl3_3
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f4824,f331]) ).
fof(f331,plain,
n0 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f4824,plain,
( n0 = sK0
| ~ spl3_3
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4823,f404]) ).
fof(f404,plain,
n0 = sum(n5,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f4823,plain,
( sum(n5,n11) = sK0
| ~ spl3_3
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4822,f195]) ).
fof(f4822,plain,
( sum(pred(n6),n11) = sK0
| ~ spl3_3
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4821,f114]) ).
fof(f114,plain,
n6 = sum(n14,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f4821,plain,
( sum(pred(sum(n14,n8)),n11) = sK0
| ~ spl3_3
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4820,f73]) ).
fof(f4820,plain,
( sum(pred(sum(n14,succ(n7))),n11) = sK0
| ~ spl3_3
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4819,f379]) ).
fof(f379,plain,
n11 = sum(n7,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f4819,plain,
( sum(pred(sum(n14,succ(n7))),sum(n7,n4)) = sK0
| ~ spl3_3
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4818,f124]) ).
fof(f124,plain,
n4 = pred(n5),
inference(cnf_transformation,[],[f5]) ).
fof(f4818,plain,
( sum(pred(sum(n14,succ(n7))),sum(n7,pred(n5))) = sK0
| ~ spl3_3
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4817,f400]) ).
fof(f400,plain,
n5 = sum(n14,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f4817,plain,
( sum(pred(sum(n14,succ(n7))),sum(n7,pred(sum(n14,n7)))) = sK0
| ~ spl3_3
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4816,f444]) ).
fof(f4809,plain,
( ~ spl3_1
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f4808]) ).
fof(f4808,plain,
( $false
| ~ spl3_1
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f4807,f306]) ).
fof(f306,plain,
n8 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f4807,plain,
( n8 = sK0
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4806,f137]) ).
fof(f137,plain,
n8 = sum(n15,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f4806,plain,
( sum(n15,n9) = sK0
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4805,f94]) ).
fof(f4805,plain,
( sum(pred(n0),n9) = sK0
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4804,f310]) ).
fof(f310,plain,
n0 = sum(n4,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f4804,plain,
( sum(pred(sum(n4,n12)),n9) = sK0
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4803,f183]) ).
fof(f4803,plain,
( sum(pred(sum(n4,succ(n11))),n9) = sK0
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4802,f148]) ).
fof(f148,plain,
n9 = sum(n11,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f4802,plain,
( sum(pred(sum(n4,succ(n11))),sum(n11,n14)) = sK0
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4801,f325]) ).
fof(f4801,plain,
( sum(pred(sum(n4,succ(n11))),sum(n11,pred(n15))) = sK0
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4800,f8]) ).
fof(f8,plain,
n15 = sum(n4,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f4800,plain,
( sum(pred(sum(n4,succ(n11))),sum(n11,pred(sum(n4,n11)))) = sK0
| ~ spl3_1
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4755,f513]) ).
fof(f4755,plain,
( sum(pred(sum(n4,succ(sK1))),sum(sK1,pred(sum(n4,sK1)))) = sK0
| ~ spl3_1 ),
inference(forward_demodulation,[],[f231,f436]) ).
fof(f436,plain,
( n4 = sK2
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f434,plain,
( spl3_1
<=> n4 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f4789,plain,
( ~ spl3_1
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f4788]) ).
fof(f4788,plain,
( $false
| ~ spl3_1
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f4787,f110]) ).
fof(f110,plain,
n7 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f4787,plain,
( n7 = sK0
| ~ spl3_1
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4786,f426]) ).
fof(f426,plain,
n7 = sum(n4,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f4786,plain,
( sum(n4,n3) = sK0
| ~ spl3_1
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4785,f124]) ).
fof(f4785,plain,
( sK0 = sum(pred(n5),n3)
| ~ spl3_1
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4784,f136]) ).
fof(f136,plain,
n5 = sum(n4,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f4784,plain,
( sum(pred(sum(n4,n1)),n3) = sK0
| ~ spl3_1
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4783,f329]) ).
fof(f4783,plain,
( sum(pred(sum(n4,succ(n0))),n3) = sK0
| ~ spl3_1
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4782,f26]) ).
fof(f26,plain,
n3 = sum(n0,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f4782,plain,
( sum(pred(sum(n4,succ(n0))),sum(n0,n3)) = sK0
| ~ spl3_1
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4781,f138]) ).
fof(f138,plain,
n3 = pred(n4),
inference(cnf_transformation,[],[f5]) ).
fof(f4781,plain,
( sum(pred(sum(n4,succ(n0))),sum(n0,pred(n4))) = sK0
| ~ spl3_1
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4780,f75]) ).
fof(f75,plain,
n4 = sum(n4,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f4780,plain,
( sum(pred(sum(n4,succ(n0))),sum(n0,pred(sum(n4,n0)))) = sK0
| ~ spl3_1
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4755,f561]) ).
fof(f4773,plain,
( ~ spl3_1
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f4772]) ).
fof(f4772,plain,
( $false
| ~ spl3_1
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f4771,f383]) ).
fof(f4771,plain,
( n12 = sK0
| ~ spl3_1
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4770,f432]) ).
fof(f432,plain,
n12 = sum(n11,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f4770,plain,
( sum(n11,n1) = sK0
| ~ spl3_1
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4769,f99]) ).
fof(f99,plain,
n11 = pred(n12),
inference(cnf_transformation,[],[f5]) ).
fof(f4769,plain,
( sum(pred(n12),n1) = sK0
| ~ spl3_1
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4768,f20]) ).
fof(f20,plain,
n12 = sum(n4,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f4768,plain,
( sum(pred(sum(n4,n8)),n1) = sK0
| ~ spl3_1
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4767,f73]) ).
fof(f4767,plain,
( sum(pred(sum(n4,succ(n7))),n1) = sK0
| ~ spl3_1
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4766,f93]) ).
fof(f93,plain,
n1 = sum(n7,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f4766,plain,
( sum(pred(sum(n4,succ(n7))),sum(n7,n10)) = sK0
| ~ spl3_1
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4765,f115]) ).
fof(f4765,plain,
( sum(pred(sum(n4,succ(n7))),sum(n7,pred(n11))) = sK0
| ~ spl3_1
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4764,f344]) ).
fof(f344,plain,
n11 = sum(n4,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f4764,plain,
( sum(pred(sum(n4,succ(n7))),sum(n7,pred(sum(n4,n7)))) = sK0
| ~ spl3_1
| ~ spl3_27 ),
inference(backward_demodulation,[],[f4755,f541]) ).
fof(f4753,plain,
( ~ spl3_1
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f4752]) ).
fof(f4752,plain,
( $false
| ~ spl3_1
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f4751,f381]) ).
fof(f381,plain,
n4 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f4751,plain,
( n4 = sK0
| ~ spl3_1
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4750,f72]) ).
fof(f72,plain,
n4 = sum(n3,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f4750,plain,
( sum(n3,n1) = sK0
| ~ spl3_1
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4749,f138]) ).
fof(f4749,plain,
( sum(pred(n4),n1) = sK0
| ~ spl3_1
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4748,f75]) ).
fof(f4748,plain,
( sum(pred(sum(n4,n0)),n1) = sK0
| ~ spl3_1
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4747,f208]) ).
fof(f208,plain,
n0 = succ(n15),
inference(cnf_transformation,[],[f5]) ).
fof(f4747,plain,
( sum(pred(sum(n4,succ(n15))),n1) = sK0
| ~ spl3_1
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4746,f305]) ).
fof(f305,plain,
n1 = sum(n15,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f4746,plain,
( sum(pred(sum(n4,succ(n15))),sum(n15,n2)) = sK0
| ~ spl3_1
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4745,f147]) ).
fof(f147,plain,
n2 = pred(n3),
inference(cnf_transformation,[],[f5]) ).
fof(f4745,plain,
( sum(pred(sum(n4,succ(n15))),sum(n15,pred(n3))) = sK0
| ~ spl3_1
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4744,f36]) ).
fof(f36,plain,
n3 = sum(n4,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f4744,plain,
( sum(pred(sum(n4,succ(n15))),sum(n15,pred(sum(n4,n15)))) = sK0
| ~ spl3_1
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4712,f436]) ).
fof(f4712,plain,
( sum(pred(sum(sK2,succ(n15))),sum(n15,pred(sum(sK2,n15)))) = sK0
| ~ spl3_29 ),
inference(forward_demodulation,[],[f231,f549]) ).
fof(f549,plain,
( n15 = sK1
| ~ spl3_29 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f547,plain,
( spl3_29
<=> n15 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).
fof(f4732,plain,
( ~ spl3_3
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f4731]) ).
fof(f4731,plain,
( $false
| ~ spl3_3
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f4730,f306]) ).
fof(f4730,plain,
( n8 = sK0
| ~ spl3_3
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4729,f128]) ).
fof(f128,plain,
n8 = sum(n13,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f4729,plain,
( sum(n13,n11) = sK0
| ~ spl3_3
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4728,f250]) ).
fof(f4728,plain,
( sum(pred(n14),n11) = sK0
| ~ spl3_3
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4727,f297]) ).
fof(f4727,plain,
( sum(pred(sum(n14,n0)),n11) = sK0
| ~ spl3_3
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4726,f208]) ).
fof(f4726,plain,
( sum(pred(sum(n14,succ(n15))),n11) = sK0
| ~ spl3_3
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4725,f200]) ).
fof(f4725,plain,
( sum(pred(sum(n14,succ(n15))),sum(n15,n12)) = sK0
| ~ spl3_3
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4724,f95]) ).
fof(f95,plain,
n12 = pred(n13),
inference(cnf_transformation,[],[f5]) ).
fof(f4724,plain,
( sum(pred(sum(n14,succ(n15))),sum(n15,pred(n13))) = sK0
| ~ spl3_3
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4723,f194]) ).
fof(f194,plain,
n13 = sum(n14,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f4723,plain,
( sum(pred(sum(n14,succ(n15))),sum(n15,pred(sum(n14,n15)))) = sK0
| ~ spl3_3
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4712,f444]) ).
fof(f4722,plain,
( ~ spl3_6
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f4721]) ).
fof(f4721,plain,
( $false
| ~ spl3_6
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f4720,f117]) ).
fof(f117,plain,
n10 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f4720,plain,
( n10 = sK0
| ~ spl3_6
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4719,f326]) ).
fof(f4719,plain,
( sum(n14,n12) = sK0
| ~ spl3_6
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4718,f325]) ).
fof(f4718,plain,
( sum(pred(n15),n12) = sK0
| ~ spl3_6
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4717,f321]) ).
fof(f4717,plain,
( sum(pred(sum(n15,n0)),n12) = sK0
| ~ spl3_6
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4716,f208]) ).
fof(f4716,plain,
( sum(pred(sum(n15,succ(n15))),n12) = sK0
| ~ spl3_6
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4715,f315]) ).
fof(f315,plain,
n12 = sum(n15,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f4715,plain,
( sum(pred(sum(n15,succ(n15))),sum(n15,n13)) = sK0
| ~ spl3_6
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4714,f250]) ).
fof(f4714,plain,
( sum(pred(sum(n15,succ(n15))),sum(n15,pred(n14))) = sK0
| ~ spl3_6
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4713,f248]) ).
fof(f248,plain,
n14 = sum(n15,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f4713,plain,
( sum(pred(sum(n15,succ(n15))),sum(n15,pred(sum(n15,n15)))) = sK0
| ~ spl3_6
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4712,f456]) ).
fof(f4705,plain,
( ~ spl3_5
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f4704]) ).
fof(f4704,plain,
( $false
| ~ spl3_5
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f4703,f13]) ).
fof(f13,plain,
n9 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f4703,plain,
( n9 = sK0
| ~ spl3_5
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4702,f285]) ).
fof(f285,plain,
n9 = sum(n5,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f4702,plain,
( sum(n5,n4) = sK0
| ~ spl3_5
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4701,f195]) ).
fof(f4701,plain,
( sum(pred(n6),n4) = sK0
| ~ spl3_5
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4700,f151]) ).
fof(f151,plain,
n6 = sum(n5,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f4700,plain,
( sum(pred(sum(n5,n1)),n4) = sK0
| ~ spl3_5
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4699,f329]) ).
fof(f4699,plain,
( sum(pred(sum(n5,succ(n0))),n4) = sK0
| ~ spl3_5
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4698,f46]) ).
fof(f46,plain,
n4 = sum(n0,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f4698,plain,
( sum(pred(sum(n5,succ(n0))),sum(n0,n4)) = sK0
| ~ spl3_5
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4697,f124]) ).
fof(f4697,plain,
( sum(pred(sum(n5,succ(n0))),sum(n0,pred(n5))) = sK0
| ~ spl3_5
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4696,f190]) ).
fof(f190,plain,
n5 = sum(n5,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f4696,plain,
( sum(pred(sum(n5,succ(n0))),sum(n0,pred(sum(n5,n0)))) = sK0
| ~ spl3_5
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4640,f561]) ).
fof(f4640,plain,
( sum(pred(sum(n5,succ(sK1))),sum(sK1,pred(sum(n5,sK1)))) = sK0
| ~ spl3_5 ),
inference(forward_demodulation,[],[f231,f452]) ).
fof(f452,plain,
( n5 = sK2
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f450,plain,
( spl3_5
<=> n5 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f4685,plain,
( ~ spl3_5
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f4684]) ).
fof(f4684,plain,
( $false
| ~ spl3_5
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f4683,f220]) ).
fof(f4683,plain,
( n14 = sK0
| ~ spl3_5
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4682,f116]) ).
fof(f116,plain,
n14 = sum(n12,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f4682,plain,
( sum(n12,n2) = sK0
| ~ spl3_5
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4681,f95]) ).
fof(f4681,plain,
( sum(pred(n13),n2) = sK0
| ~ spl3_5
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4680,f129]) ).
fof(f129,plain,
n13 = sum(n5,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f4680,plain,
( sum(pred(sum(n5,n8)),n2) = sK0
| ~ spl3_5
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4679,f73]) ).
fof(f4679,plain,
( sum(pred(sum(n5,succ(n7))),n2) = sK0
| ~ spl3_5
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4678,f62]) ).
fof(f62,plain,
n2 = sum(n7,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f4678,plain,
( sum(pred(sum(n5,succ(n7))),sum(n7,n11)) = sK0
| ~ spl3_5
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4677,f99]) ).
fof(f4677,plain,
( sum(pred(sum(n5,succ(n7))),sum(n7,pred(n12))) = sK0
| ~ spl3_5
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4676,f378]) ).
fof(f378,plain,
n12 = sum(n5,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f4676,plain,
( sum(pred(sum(n5,succ(n7))),sum(n7,pred(sum(n5,n7)))) = sK0
| ~ spl3_5
| ~ spl3_27 ),
inference(backward_demodulation,[],[f4640,f541]) ).
fof(f4668,plain,
( ~ spl3_5
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f4667]) ).
fof(f4667,plain,
( $false
| ~ spl3_5
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f4666,f117]) ).
fof(f4666,plain,
( n10 = sK0
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4665,f134]) ).
fof(f134,plain,
n10 = sum(n0,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f4665,plain,
( sum(n0,n10) = sK0
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4664,f406]) ).
fof(f406,plain,
n0 = pred(n1),
inference(cnf_transformation,[],[f5]) ).
fof(f4664,plain,
( sum(pred(n1),n10) = sK0
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4663,f303]) ).
fof(f303,plain,
n1 = sum(n5,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f4663,plain,
( sum(pred(sum(n5,n12)),n10) = sK0
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4662,f183]) ).
fof(f4662,plain,
( sum(pred(sum(n5,succ(n11))),n10) = sK0
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4661,f415]) ).
fof(f415,plain,
n10 = sum(n11,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f4661,plain,
( sum(pred(sum(n5,succ(n11))),sum(n11,n15)) = sK0
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4660,f94]) ).
fof(f4660,plain,
( sum(pred(sum(n5,succ(n11))),sum(n11,pred(n0))) = sK0
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4659,f404]) ).
fof(f4659,plain,
( sum(pred(sum(n5,succ(n11))),sum(n11,pred(sum(n5,n11)))) = sK0
| ~ spl3_5
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4640,f513]) ).
fof(f4651,plain,
( ~ spl3_5
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f4650]) ).
fof(f4650,plain,
( $false
| ~ spl3_5
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f4649,f234]) ).
fof(f234,plain,
n6 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f4649,plain,
( n6 = sK0
| ~ spl3_5
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4648,f57]) ).
fof(f57,plain,
n6 = sum(n4,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f4648,plain,
( sum(n4,n2) = sK0
| ~ spl3_5
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4647,f124]) ).
fof(f4647,plain,
( sum(pred(n5),n2) = sK0
| ~ spl3_5
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4646,f190]) ).
fof(f4646,plain,
( sum(pred(sum(n5,n0)),n2) = sK0
| ~ spl3_5
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4645,f208]) ).
fof(f4645,plain,
( sum(pred(sum(n5,succ(n15))),n2) = sK0
| ~ spl3_5
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4644,f346]) ).
fof(f346,plain,
n2 = sum(n15,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f4644,plain,
( sum(pred(sum(n5,succ(n15))),sum(n15,n3)) = sK0
| ~ spl3_5
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4643,f138]) ).
fof(f4643,plain,
( sum(pred(sum(n5,succ(n15))),sum(n15,pred(n4))) = sK0
| ~ spl3_5
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4642,f192]) ).
fof(f192,plain,
n4 = sum(n5,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f4642,plain,
( sum(pred(sum(n5,succ(n15))),sum(n15,pred(sum(n5,n15)))) = sK0
| ~ spl3_5
| ~ spl3_29 ),
inference(backward_demodulation,[],[f4640,f549]) ).
fof(f4627,plain,
( ~ spl3_1
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f4626]) ).
fof(f4626,plain,
( $false
| ~ spl3_1
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f4625,f234]) ).
fof(f4625,plain,
( n6 = sK0
| ~ spl3_1
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4624,f58]) ).
fof(f58,plain,
n6 = sum(n9,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f4624,plain,
( sum(n9,n13) = sK0
| ~ spl3_1
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4623,f365]) ).
fof(f4623,plain,
( sK0 = sum(pred(n10),n13)
| ~ spl3_1
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4622,f118]) ).
fof(f118,plain,
n10 = sum(n4,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f4622,plain,
( sum(pred(sum(n4,n6)),n13) = sK0
| ~ spl3_1
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4621,f129]) ).
fof(f4621,plain,
( sum(pred(sum(n4,n6)),sum(n5,n8)) = sK0
| ~ spl3_1
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4620,f388]) ).
fof(f4620,plain,
( sum(pred(sum(n4,n6)),sum(n5,pred(n9))) = sK0
| ~ spl3_1
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4619,f163]) ).
fof(f163,plain,
n9 = sum(n4,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f4619,plain,
( sum(pred(sum(n4,n6)),sum(n5,pred(sum(n4,n5)))) = sK0
| ~ spl3_1
| ~ spl3_25 ),
inference(backward_demodulation,[],[f4574,f436]) ).
fof(f4574,plain,
( sum(pred(sum(sK2,n6)),sum(n5,pred(sum(sK2,n5)))) = sK0
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4565,f161]) ).
fof(f161,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f5]) ).
fof(f4565,plain,
( sum(pred(sum(sK2,succ(n5))),sum(n5,pred(sum(sK2,n5)))) = sK0
| ~ spl3_25 ),
inference(backward_demodulation,[],[f231,f533]) ).
fof(f533,plain,
( n5 = sK1
| ~ spl3_25 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f531,plain,
( spl3_25
<=> n5 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).
fof(f4611,plain,
( ~ spl3_5
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f4610]) ).
fof(f4610,plain,
( $false
| ~ spl3_5
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f4609,f306]) ).
fof(f4609,plain,
( n8 = sK0
| ~ spl3_5
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4608,f174]) ).
fof(f174,plain,
n8 = sum(n10,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f4608,plain,
( sum(n10,n14) = sK0
| ~ spl3_5
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4607,f115]) ).
fof(f4607,plain,
( sum(pred(n11),n14) = sK0
| ~ spl3_5
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4606,f281]) ).
fof(f281,plain,
n11 = sum(n5,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f4606,plain,
( sK0 = sum(pred(sum(n5,n6)),n14)
| ~ spl3_5
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4605,f235]) ).
fof(f235,plain,
n14 = sum(n5,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f4605,plain,
( sum(pred(sum(n5,n6)),sum(n5,n9)) = sK0
| ~ spl3_5
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4604,f365]) ).
fof(f4604,plain,
( sK0 = sum(pred(sum(n5,n6)),sum(n5,pred(n10)))
| ~ spl3_5
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4603,f185]) ).
fof(f185,plain,
n10 = sum(n5,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f4603,plain,
( sum(pred(sum(n5,n6)),sum(n5,pred(sum(n5,n5)))) = sK0
| ~ spl3_5
| ~ spl3_25 ),
inference(backward_demodulation,[],[f4574,f452]) ).
fof(f4593,plain,
( ~ spl3_3
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f4592]) ).
fof(f4592,plain,
( $false
| ~ spl3_3
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f4591,f117]) ).
fof(f4591,plain,
( n10 = sK0
| ~ spl3_3
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4590,f79]) ).
fof(f79,plain,
n10 = sum(n3,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f4590,plain,
( sum(n3,n7) = sK0
| ~ spl3_3
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4589,f138]) ).
fof(f4589,plain,
( sum(pred(n4),n7) = sK0
| ~ spl3_3
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4588,f132]) ).
fof(f132,plain,
n4 = sum(n14,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f4588,plain,
( sum(pred(sum(n14,n6)),n7) = sK0
| ~ spl3_3
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4587,f411]) ).
fof(f411,plain,
n7 = sum(n5,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f4587,plain,
( sum(pred(sum(n14,n6)),sum(n5,n2)) = sK0
| ~ spl3_3
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4586,f147]) ).
fof(f4586,plain,
( sum(pred(sum(n14,n6)),sum(n5,pred(n3))) = sK0
| ~ spl3_3
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4585,f18]) ).
fof(f18,plain,
n3 = sum(n14,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f4585,plain,
( sum(pred(sum(n14,n6)),sum(n5,pred(sum(n14,n5)))) = sK0
| ~ spl3_3
| ~ spl3_25 ),
inference(backward_demodulation,[],[f4574,f444]) ).
fof(f4583,plain,
( ~ spl3_6
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f4582]) ).
fof(f4582,plain,
( $false
| ~ spl3_6
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f4581,f383]) ).
fof(f4581,plain,
( n12 = sK0
| ~ spl3_6
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4580,f20]) ).
fof(f4580,plain,
( sum(n4,n8) = sK0
| ~ spl3_6
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4579,f124]) ).
fof(f4579,plain,
( sum(pred(n5),n8) = sK0
| ~ spl3_6
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4578,f6]) ).
fof(f6,plain,
n5 = sum(n15,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f4578,plain,
( sum(pred(sum(n15,n6)),n8) = sK0
| ~ spl3_6
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4577,f69]) ).
fof(f69,plain,
n8 = sum(n5,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f4577,plain,
( sK0 = sum(pred(sum(n15,n6)),sum(n5,n3))
| ~ spl3_6
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4576,f138]) ).
fof(f4576,plain,
( sum(pred(sum(n15,n6)),sum(n5,pred(n4))) = sK0
| ~ spl3_6
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4575,f287]) ).
fof(f287,plain,
n4 = sum(n15,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f4575,plain,
( sum(pred(sum(n15,n6)),sum(n5,pred(sum(n15,n5)))) = sK0
| ~ spl3_6
| ~ spl3_25 ),
inference(backward_demodulation,[],[f4574,f456]) ).
fof(f4563,plain,
( ~ spl3_4
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f4562]) ).
fof(f4562,plain,
( $false
| ~ spl3_4
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f4561,f381]) ).
fof(f4561,plain,
( n4 = sK0
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4560,f192]) ).
fof(f4560,plain,
( sum(n5,n15) = sK0
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4559,f195]) ).
fof(f4559,plain,
( sum(pred(n6),n15) = sK0
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4558,f16]) ).
fof(f16,plain,
n6 = sum(n10,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f4558,plain,
( sum(pred(sum(n10,n12)),n15) = sK0
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4557,f183]) ).
fof(f4557,plain,
( sum(pred(sum(n10,succ(n11))),n15) = sK0
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4556,f125]) ).
fof(f125,plain,
n15 = sum(n11,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f4556,plain,
( sum(pred(sum(n10,succ(n11))),sum(n11,n4)) = sK0
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4555,f124]) ).
fof(f4555,plain,
( sum(pred(sum(n10,succ(n11))),sum(n11,pred(n5))) = sK0
| ~ spl3_4
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4554,f389]) ).
fof(f389,plain,
n5 = sum(n10,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f4554,plain,
( sum(pred(sum(n10,succ(n11))),sum(n11,pred(sum(n10,n11)))) = sK0
| ~ spl3_4
| ~ spl3_20 ),
inference(backward_demodulation,[],[f4480,f513]) ).
fof(f4480,plain,
( sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1)))) = sK0
| ~ spl3_4 ),
inference(forward_demodulation,[],[f231,f448]) ).
fof(f448,plain,
( n10 = sK2
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f446,plain,
( spl3_4
<=> n10 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f4543,plain,
( ~ spl3_4
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f4542]) ).
fof(f4542,plain,
( $false
| ~ spl3_4
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f4541,f322]) ).
fof(f4541,plain,
( n2 = sK0
| ~ spl3_4
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4540,f346]) ).
fof(f4540,plain,
( sum(n15,n3) = sK0
| ~ spl3_4
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4539,f94]) ).
fof(f4539,plain,
( sum(pred(n0),n3) = sK0
| ~ spl3_4
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4538,f218]) ).
fof(f218,plain,
n0 = sum(n10,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f4538,plain,
( sum(pred(sum(n10,n6)),n3) = sK0
| ~ spl3_4
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4537,f161]) ).
fof(f4537,plain,
( sum(pred(sum(n10,succ(n5))),n3) = sK0
| ~ spl3_4
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4536,f53]) ).
fof(f53,plain,
n3 = sum(n5,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f4536,plain,
( sum(pred(sum(n10,succ(n5))),sum(n5,n14)) = sK0
| ~ spl3_4
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4535,f325]) ).
fof(f4535,plain,
( sum(pred(sum(n10,succ(n5))),sum(n5,pred(n15))) = sK0
| ~ spl3_4
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4534,f353]) ).
fof(f353,plain,
n15 = sum(n10,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f4534,plain,
( sum(pred(sum(n10,succ(n5))),sum(n5,pred(sum(n10,n5)))) = sK0
| ~ spl3_4
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4480,f533]) ).
fof(f4531,plain,
( ~ spl3_4
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f4530]) ).
fof(f4530,plain,
( $false
| ~ spl3_4
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f4529,f213]) ).
fof(f213,plain,
n3 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f4529,plain,
( n3 = sK0
| ~ spl3_4
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4528,f280]) ).
fof(f280,plain,
n3 = sum(n10,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f4528,plain,
( sum(n10,n9) = sK0
| ~ spl3_4
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4527,f115]) ).
fof(f4527,plain,
( sum(pred(n11),n9) = sK0
| ~ spl3_4
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4526,f31]) ).
fof(f31,plain,
n11 = sum(n10,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f4526,plain,
( sum(pred(sum(n10,n1)),n9) = sK0
| ~ spl3_4
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4525,f329]) ).
fof(f4525,plain,
( sum(pred(sum(n10,succ(n0))),n9) = sK0
| ~ spl3_4
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4524,f384]) ).
fof(f384,plain,
n9 = sum(n0,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f4524,plain,
( sum(pred(sum(n10,succ(n0))),sum(n0,n9)) = sK0
| ~ spl3_4
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4523,f365]) ).
fof(f4523,plain,
( sum(pred(sum(n10,succ(n0))),sum(n0,pred(n10))) = sK0
| ~ spl3_4
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4522,f266]) ).
fof(f266,plain,
n10 = sum(n10,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f4522,plain,
( sum(pred(sum(n10,succ(n0))),sum(n0,pred(sum(n10,n0)))) = sK0
| ~ spl3_4
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4480,f561]) ).
fof(f4507,plain,
( ~ spl3_4
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f4506]) ).
fof(f4506,plain,
( $false
| ~ spl3_4
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f4505,f331]) ).
fof(f4505,plain,
( n0 = sK0
| ~ spl3_4
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4504,f184]) ).
fof(f184,plain,
n0 = sum(n9,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f4504,plain,
( sum(n9,n7) = sK0
| ~ spl3_4
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4503,f365]) ).
fof(f4503,plain,
( sum(pred(n10),n7) = sK0
| ~ spl3_4
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4502,f266]) ).
fof(f4502,plain,
( sum(pred(sum(n10,n0)),n7) = sK0
| ~ spl3_4
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4501,f208]) ).
fof(f4501,plain,
( sum(pred(sum(n10,succ(n15))),n7) = sK0
| ~ spl3_4
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4500,f34]) ).
fof(f4500,plain,
( sum(pred(sum(n10,succ(n15))),sum(n15,n8)) = sK0
| ~ spl3_4
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4499,f388]) ).
fof(f4499,plain,
( sum(pred(sum(n10,succ(n15))),sum(n15,pred(n9))) = sK0
| ~ spl3_4
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4498,f197]) ).
fof(f197,plain,
n9 = sum(n10,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f4498,plain,
( sum(pred(sum(n10,succ(n15))),sum(n15,pred(sum(n10,n15)))) = sK0
| ~ spl3_4
| ~ spl3_29 ),
inference(backward_demodulation,[],[f4480,f549]) ).
fof(f4494,plain,
( ~ spl3_4
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f4493]) ).
fof(f4493,plain,
( $false
| ~ spl3_4
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f4492,f306]) ).
fof(f4492,plain,
( n8 = sK0
| ~ spl3_4
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4491,f269]) ).
fof(f269,plain,
n8 = sum(n1,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f4491,plain,
( sum(n1,n7) = sK0
| ~ spl3_4
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4490,f155]) ).
fof(f155,plain,
n1 = pred(n2),
inference(cnf_transformation,[],[f5]) ).
fof(f4490,plain,
( sum(pred(n2),n7) = sK0
| ~ spl3_4
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4489,f308]) ).
fof(f308,plain,
n2 = sum(n10,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f4489,plain,
( sum(pred(sum(n10,n8)),n7) = sK0
| ~ spl3_4
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4488,f73]) ).
fof(f4488,plain,
( sum(pred(sum(n10,succ(n7))),n7) = sK0
| ~ spl3_4
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4487,f402]) ).
fof(f402,plain,
n7 = sum(n7,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f4487,plain,
( sK0 = sum(pred(sum(n10,succ(n7))),sum(n7,n0))
| ~ spl3_4
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4486,f406]) ).
fof(f4486,plain,
( sum(pred(sum(n10,succ(n7))),sum(n7,pred(n1))) = sK0
| ~ spl3_4
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4485,f162]) ).
fof(f162,plain,
n1 = sum(n10,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f4485,plain,
( sum(pred(sum(n10,succ(n7))),sum(n7,pred(sum(n10,n7)))) = sK0
| ~ spl3_4
| ~ spl3_27 ),
inference(backward_demodulation,[],[f4480,f541]) ).
fof(f4479,plain,
( ~ spl3_4
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f4478]) ).
fof(f4478,plain,
( $false
| ~ spl3_4
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f4477,f176]) ).
fof(f4477,plain,
( n11 = sK0
| ~ spl3_4
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4476,f382]) ).
fof(f382,plain,
n11 = sum(n2,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f4476,plain,
( sum(n2,n9) = sK0
| ~ spl3_4
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4475,f147]) ).
fof(f4475,plain,
( sum(pred(n3),n9) = sK0
| ~ spl3_4
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4474,f280]) ).
fof(f4474,plain,
( sum(pred(sum(n10,n9)),n9) = sK0
| ~ spl3_4
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4473,f186]) ).
fof(f186,plain,
n9 = sum(n8,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f4473,plain,
( sK0 = sum(pred(sum(n10,n9)),sum(n8,n1))
| ~ spl3_4
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4472,f155]) ).
fof(f4472,plain,
( sum(pred(sum(n10,n9)),sum(n8,pred(n2))) = sK0
| ~ spl3_4
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4471,f308]) ).
fof(f4471,plain,
( sum(pred(sum(n10,n9)),sum(n8,pred(sum(n10,n8)))) = sK0
| ~ spl3_4
| ~ spl3_23 ),
inference(backward_demodulation,[],[f4417,f448]) ).
fof(f4417,plain,
( sum(pred(sum(sK2,n9)),sum(n8,pred(sum(sK2,n8)))) = sK0
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4416,f61]) ).
fof(f61,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f5]) ).
fof(f4416,plain,
( sum(pred(sum(sK2,succ(n8))),sum(n8,pred(sum(sK2,n8)))) = sK0
| ~ spl3_23 ),
inference(forward_demodulation,[],[f231,f525]) ).
fof(f525,plain,
( n8 = sK1
| ~ spl3_23 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f523,plain,
( spl3_23
<=> n8 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).
fof(f4456,plain,
( ~ spl3_5
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f4455]) ).
fof(f4455,plain,
( $false
| ~ spl3_5
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f4454,f67]) ).
fof(f67,plain,
n1 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f4454,plain,
( n1 = sK0
| ~ spl3_5
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4453,f242]) ).
fof(f242,plain,
n1 = sum(n13,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f4453,plain,
( sum(n13,n4) = sK0
| ~ spl3_5
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4452,f250]) ).
fof(f4452,plain,
( sum(pred(n14),n4) = sK0
| ~ spl3_5
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4451,f235]) ).
fof(f4451,plain,
( sum(pred(sum(n5,n9)),n4) = sK0
| ~ spl3_5
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4450,f255]) ).
fof(f255,plain,
n4 = sum(n8,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f4450,plain,
( sum(pred(sum(n5,n9)),sum(n8,n12)) = sK0
| ~ spl3_5
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4449,f95]) ).
fof(f4449,plain,
( sum(pred(sum(n5,n9)),sum(n8,pred(n13))) = sK0
| ~ spl3_5
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4448,f129]) ).
fof(f4448,plain,
( sum(pred(sum(n5,n9)),sum(n8,pred(sum(n5,n8)))) = sK0
| ~ spl3_5
| ~ spl3_23 ),
inference(backward_demodulation,[],[f4417,f452]) ).
fof(f4445,plain,
( ~ spl3_1
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f4444]) ).
fof(f4444,plain,
( $false
| ~ spl3_1
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f4443,f251]) ).
fof(f251,plain,
n15 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f4443,plain,
( n15 = sK0
| ~ spl3_1
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4442,f230]) ).
fof(f230,plain,
n15 = sum(n12,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f4442,plain,
( sum(n12,n3) = sK0
| ~ spl3_1
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4441,f95]) ).
fof(f4441,plain,
( sum(pred(n13),n3) = sK0
| ~ spl3_1
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4440,f307]) ).
fof(f307,plain,
n13 = sum(n4,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f4440,plain,
( sum(pred(sum(n4,n9)),n3) = sK0
| ~ spl3_1
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4439,f320]) ).
fof(f320,plain,
n3 = sum(n8,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f4439,plain,
( sum(pred(sum(n4,n9)),sum(n8,n11)) = sK0
| ~ spl3_1
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4438,f99]) ).
fof(f4438,plain,
( sK0 = sum(pred(sum(n4,n9)),sum(n8,pred(n12)))
| ~ spl3_1
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4437,f20]) ).
fof(f4437,plain,
( sum(pred(sum(n4,n9)),sum(n8,pred(sum(n4,n8)))) = sK0
| ~ spl3_1
| ~ spl3_23 ),
inference(backward_demodulation,[],[f4417,f436]) ).
fof(f4426,plain,
( ~ spl3_6
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f4425]) ).
fof(f4425,plain,
( $false
| ~ spl3_6
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f4424,f319]) ).
fof(f319,plain,
n5 != sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f4424,plain,
( n5 = sK0
| ~ spl3_6
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4423,f123]) ).
fof(f123,plain,
n5 = sum(n7,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f4423,plain,
( sum(n7,n14) = sK0
| ~ spl3_6
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4422,f228]) ).
fof(f228,plain,
n7 = pred(n8),
inference(cnf_transformation,[],[f5]) ).
fof(f4422,plain,
( sum(pred(n8),n14) = sK0
| ~ spl3_6
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4421,f137]) ).
fof(f4421,plain,
( sum(pred(sum(n15,n9)),n14) = sK0
| ~ spl3_6
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4420,f113]) ).
fof(f113,plain,
n14 = sum(n8,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f4420,plain,
( sum(pred(sum(n15,n9)),sum(n8,n6)) = sK0
| ~ spl3_6
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4419,f80]) ).
fof(f4419,plain,
( sum(pred(sum(n15,n9)),sum(n8,pred(n7))) = sK0
| ~ spl3_6
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4418,f34]) ).
fof(f4418,plain,
( sum(pred(sum(n15,n9)),sum(n8,pred(sum(n15,n8)))) = sK0
| ~ spl3_6
| ~ spl3_23 ),
inference(backward_demodulation,[],[f4417,f456]) ).
fof(f4415,plain,
( ~ spl3_3
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f4414]) ).
fof(f4414,plain,
( $false
| ~ spl3_3
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f4413,f213]) ).
fof(f4413,plain,
( n3 = sK0
| ~ spl3_3
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4412,f15]) ).
fof(f15,plain,
n3 = sum(n6,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f4412,plain,
( sum(n6,n13) = sK0
| ~ spl3_3
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4411,f80]) ).
fof(f4411,plain,
( sum(pred(n7),n13) = sK0
| ~ spl3_3
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4410,f22]) ).
fof(f22,plain,
n7 = sum(n14,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f4410,plain,
( sum(pred(sum(n14,n9)),n13) = sK0
| ~ spl3_3
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4409,f61]) ).
fof(f4409,plain,
( sum(pred(sum(n14,succ(n8))),n13) = sK0
| ~ spl3_3
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4408,f9]) ).
fof(f9,plain,
n13 = sum(n8,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f4408,plain,
( sum(pred(sum(n14,succ(n8))),sum(n8,n5)) = sK0
| ~ spl3_3
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4407,f195]) ).
fof(f4407,plain,
( sum(pred(sum(n14,succ(n8))),sum(n8,pred(n6))) = sK0
| ~ spl3_3
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4406,f114]) ).
fof(f4406,plain,
( sum(pred(sum(n14,succ(n8))),sum(n8,pred(sum(n14,n8)))) = sK0
| ~ spl3_3
| ~ spl3_23 ),
inference(backward_demodulation,[],[f4398,f525]) ).
fof(f4398,plain,
( sK0 = sum(pred(sum(n14,succ(sK1))),sum(sK1,pred(sum(n14,sK1))))
| ~ spl3_3 ),
inference(backward_demodulation,[],[f231,f444]) ).
fof(f4397,plain,
( ~ spl3_7
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f4396]) ).
fof(f4396,plain,
( $false
| ~ spl3_7
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f4395,f306]) ).
fof(f4395,plain,
( n8 = sK0
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4394,f142]) ).
fof(f142,plain,
n8 = sum(n7,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f4394,plain,
( sum(n7,n1) = sK0
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4393,f228]) ).
fof(f4393,plain,
( sum(pred(n8),n1) = sK0
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4392,f361]) ).
fof(f361,plain,
n8 = sum(n12,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f4392,plain,
( sum(pred(sum(n12,n12)),n1) = sK0
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4391,f183]) ).
fof(f4391,plain,
( sum(pred(sum(n12,succ(n11))),n1) = sK0
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4390,f100]) ).
fof(f100,plain,
n1 = sum(n11,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f4390,plain,
( sum(pred(sum(n12,succ(n11))),sum(n11,n6)) = sK0
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4389,f80]) ).
fof(f4389,plain,
( sum(pred(sum(n12,succ(n11))),sum(n11,pred(n7))) = sK0
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4388,f309]) ).
fof(f309,plain,
n7 = sum(n12,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f4388,plain,
( sum(pred(sum(n12,succ(n11))),sum(n11,pred(sum(n12,n11)))) = sK0
| ~ spl3_7
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4373,f513]) ).
fof(f4373,plain,
( sum(pred(sum(n12,succ(sK1))),sum(sK1,pred(sum(n12,sK1)))) = sK0
| ~ spl3_7 ),
inference(forward_demodulation,[],[f231,f460]) ).
fof(f460,plain,
( n12 = sK2
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f458,plain,
( spl3_7
<=> n12 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f4383,plain,
( ~ spl3_7
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f4382]) ).
fof(f4382,plain,
( $false
| ~ spl3_7
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f4381,f381]) ).
fof(f4381,plain,
( n4 = sK0
| ~ spl3_7
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4380,f283]) ).
fof(f4380,plain,
( sum(n11,n9) = sK0
| ~ spl3_7
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4379,f99]) ).
fof(f4379,plain,
( sum(pred(n12),n9) = sK0
| ~ spl3_7
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4378,f301]) ).
fof(f301,plain,
n12 = sum(n12,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f4378,plain,
( sum(pred(sum(n12,n0)),n9) = sK0
| ~ spl3_7
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4377,f208]) ).
fof(f4377,plain,
( sum(pred(sum(n12,succ(n15))),n9) = sK0
| ~ spl3_7
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4376,f340]) ).
fof(f340,plain,
n9 = sum(n15,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f4376,plain,
( sum(pred(sum(n12,succ(n15))),sum(n15,n10)) = sK0
| ~ spl3_7
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4375,f115]) ).
fof(f4375,plain,
( sum(pred(sum(n12,succ(n15))),sum(n15,pred(n11))) = sK0
| ~ spl3_7
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4374,f223]) ).
fof(f223,plain,
n11 = sum(n12,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f4374,plain,
( sum(pred(sum(n12,succ(n15))),sum(n15,pred(sum(n12,n15)))) = sK0
| ~ spl3_7
| ~ spl3_29 ),
inference(backward_demodulation,[],[f4373,f549]) ).
fof(f4364,plain,
( ~ spl3_7
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f4363]) ).
fof(f4363,plain,
( $false
| ~ spl3_7
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f4362,f234]) ).
fof(f4362,plain,
( n6 = sK0
| ~ spl3_7
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4361,f410]) ).
fof(f410,plain,
n6 = sum(n1,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f4361,plain,
( sum(n1,n5) = sK0
| ~ spl3_7
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4360,f155]) ).
fof(f4360,plain,
( sum(pred(n2),n5) = sK0
| ~ spl3_7
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4359,f243]) ).
fof(f243,plain,
n2 = sum(n12,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f4359,plain,
( sum(pred(sum(n12,n6)),n5) = sK0
| ~ spl3_7
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4358,f161]) ).
fof(f4358,plain,
( sum(pred(sum(n12,succ(n5))),n5) = sK0
| ~ spl3_7
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4357,f190]) ).
fof(f4357,plain,
( sum(pred(sum(n12,succ(n5))),sum(n5,n0)) = sK0
| ~ spl3_7
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4356,f406]) ).
fof(f4356,plain,
( sum(pred(sum(n12,succ(n5))),sum(n5,pred(n1))) = sK0
| ~ spl3_7
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4355,f104]) ).
fof(f104,plain,
n1 = sum(n12,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f4355,plain,
( sum(pred(sum(n12,succ(n5))),sum(n5,pred(sum(n12,n5)))) = sK0
| ~ spl3_7
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4354,f460]) ).
fof(f4354,plain,
( sum(pred(sum(sK2,succ(n5))),sum(n5,pred(sum(sK2,n5)))) = sK0
| ~ spl3_25 ),
inference(forward_demodulation,[],[f231,f533]) ).
fof(f4350,plain,
( ~ spl3_7
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f4349]) ).
fof(f4349,plain,
( $false
| ~ spl3_7
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f4348,f110]) ).
fof(f4348,plain,
( n7 = sK0
| ~ spl3_7
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4347,f309]) ).
fof(f4347,plain,
( sum(n12,n11) = sK0
| ~ spl3_7
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4346,f95]) ).
fof(f4346,plain,
( sum(pred(n13),n11) = sK0
| ~ spl3_7
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4345,f233]) ).
fof(f233,plain,
n13 = sum(n12,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f4345,plain,
( sum(pred(sum(n12,n1)),n11) = sK0
| ~ spl3_7
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4344,f329]) ).
fof(f4344,plain,
( sum(pred(sum(n12,succ(n0))),n11) = sK0
| ~ spl3_7
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4343,f418]) ).
fof(f418,plain,
n11 = sum(n0,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f4343,plain,
( sum(pred(sum(n12,succ(n0))),sum(n0,n11)) = sK0
| ~ spl3_7
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4342,f99]) ).
fof(f4342,plain,
( sum(pred(sum(n12,succ(n0))),sum(n0,pred(n12))) = sK0
| ~ spl3_7
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4341,f301]) ).
fof(f4341,plain,
( sum(pred(sum(n12,succ(n0))),sum(n0,pred(sum(n12,n0)))) = sK0
| ~ spl3_7
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4340,f460]) ).
fof(f4340,plain,
( sum(pred(sum(sK2,succ(n0))),sum(n0,pred(sum(sK2,n0)))) = sK0
| ~ spl3_32 ),
inference(forward_demodulation,[],[f231,f561]) ).
fof(f4322,plain,
( ~ spl3_7
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f4321]) ).
fof(f4321,plain,
( $false
| ~ spl3_7
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f4320,f251]) ).
fof(f4320,plain,
( n15 = sK0
| ~ spl3_7
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4319,f8]) ).
fof(f4319,plain,
( sum(n4,n11) = sK0
| ~ spl3_7
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4318,f124]) ).
fof(f4318,plain,
( sum(pred(n5),n11) = sK0
| ~ spl3_7
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4317,f77]) ).
fof(f77,plain,
n5 = sum(n12,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f4317,plain,
( sum(pred(sum(n12,n9)),n11) = sK0
| ~ spl3_7
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4316,f61]) ).
fof(f4316,plain,
( sum(pred(sum(n12,succ(n8))),n11) = sK0
| ~ spl3_7
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4315,f40]) ).
fof(f40,plain,
n11 = sum(n8,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f4315,plain,
( sum(pred(sum(n12,succ(n8))),sum(n8,n3)) = sK0
| ~ spl3_7
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4314,f138]) ).
fof(f4314,plain,
( sK0 = sum(pred(sum(n12,succ(n8))),sum(n8,pred(n4)))
| ~ spl3_7
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4313,f64]) ).
fof(f64,plain,
n4 = sum(n12,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f4313,plain,
( sum(pred(sum(n12,succ(n8))),sum(n8,pred(sum(n12,n8)))) = sK0
| ~ spl3_7
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4312,f460]) ).
fof(f4312,plain,
( sum(pred(sum(sK2,succ(n8))),sum(n8,pred(sum(sK2,n8)))) = sK0
| ~ spl3_23 ),
inference(forward_demodulation,[],[f231,f525]) ).
fof(f4310,plain,
( ~ spl3_7
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f4309]) ).
fof(f4309,plain,
( $false
| ~ spl3_7
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f4308,f383]) ).
fof(f4308,plain,
( n12 = sK0
| ~ spl3_7
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4307,f168]) ).
fof(f168,plain,
n12 = sum(n3,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f4307,plain,
( sum(n3,n9) = sK0
| ~ spl3_7
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4306,f138]) ).
fof(f4306,plain,
( sum(pred(n4),n9) = sK0
| ~ spl3_7
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4305,f64]) ).
fof(f4305,plain,
( sum(pred(sum(n12,n8)),n9) = sK0
| ~ spl3_7
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4304,f73]) ).
fof(f4304,plain,
( sum(pred(sum(n12,succ(n7))),n9) = sK0
| ~ spl3_7
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4303,f166]) ).
fof(f166,plain,
n9 = sum(n7,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f4303,plain,
( sum(pred(sum(n12,succ(n7))),sum(n7,n2)) = sK0
| ~ spl3_7
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4302,f147]) ).
fof(f4302,plain,
( sum(pred(sum(n12,succ(n7))),sum(n7,pred(n3))) = sK0
| ~ spl3_7
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4301,f157]) ).
fof(f157,plain,
n3 = sum(n12,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f4301,plain,
( sum(pred(sum(n12,succ(n7))),sum(n7,pred(sum(n12,n7)))) = sK0
| ~ spl3_7
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4300,f460]) ).
fof(f4300,plain,
( sum(pred(sum(sK2,succ(n7))),sum(n7,pred(sum(sK2,n7)))) = sK0
| ~ spl3_27 ),
inference(forward_demodulation,[],[f231,f541]) ).
fof(f4290,plain,
( ~ spl3_3
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f4289]) ).
fof(f4289,plain,
( $false
| ~ spl3_3
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f4288,f319]) ).
fof(f4288,plain,
( n5 = sK0
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4287,f77]) ).
fof(f4287,plain,
( sum(n12,n9) = sK0
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4286,f95]) ).
fof(f4286,plain,
( sum(pred(n13),n9) = sK0
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4285,f194]) ).
fof(f4285,plain,
( sum(pred(sum(n14,n15)),n9) = sK0
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4284,f37]) ).
fof(f4284,plain,
( sum(pred(sum(n14,n15)),sum(n14,n11)) = sK0
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4283,f99]) ).
fof(f4283,plain,
( sum(pred(sum(n14,n15)),sum(n14,pred(n12))) = sK0
| ~ spl3_3
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4282,f178]) ).
fof(f178,plain,
n12 = sum(n14,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f4282,plain,
( sum(pred(sum(n14,n15)),sum(n14,pred(sum(n14,n14)))) = sK0
| ~ spl3_3
| ~ spl3_18 ),
inference(backward_demodulation,[],[f4220,f444]) ).
fof(f4220,plain,
( sum(pred(sum(sK2,n15)),sum(n14,pred(sum(sK2,n14)))) = sK0
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4209,f357]) ).
fof(f357,plain,
succ(n14) = n15,
inference(cnf_transformation,[],[f5]) ).
fof(f4209,plain,
( sum(pred(sum(sK2,succ(n14))),sum(n14,pred(sum(sK2,n14)))) = sK0
| ~ spl3_18 ),
inference(forward_demodulation,[],[f231,f505]) ).
fof(f505,plain,
( n14 = sK1
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f503,plain,
( spl3_18
<=> n14 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f4277,plain,
( ~ spl3_5
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f4276]) ).
fof(f4276,plain,
( $false
| ~ spl3_5
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f4275,f213]) ).
fof(f4275,plain,
( n3 = sK0
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4274,f106]) ).
fof(f106,plain,
n3 = sum(n3,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f4274,plain,
( sum(n3,n0) = sK0
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4273,f138]) ).
fof(f4273,plain,
( sum(pred(n4),n0) = sK0
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4272,f192]) ).
fof(f4272,plain,
( sum(pred(sum(n5,n15)),n0) = sK0
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4271,f55]) ).
fof(f55,plain,
n0 = sum(n14,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f4271,plain,
( sum(pred(sum(n5,n15)),sum(n14,n2)) = sK0
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4270,f147]) ).
fof(f4270,plain,
( sum(pred(sum(n5,n15)),sum(n14,pred(n3))) = sK0
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4269,f53]) ).
fof(f4269,plain,
( sum(pred(sum(n5,n15)),sum(n14,pred(sum(n5,n14)))) = sK0
| ~ spl3_5
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4220,f452]) ).
fof(f4261,plain,
( ~ spl3_7
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f4260]) ).
fof(f4260,plain,
( $false
| ~ spl3_7
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f4259,f67]) ).
fof(f4259,plain,
( n1 = sK0
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4258,f162]) ).
fof(f4258,plain,
( sum(n10,n7) = sK0
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4257,f115]) ).
fof(f4257,plain,
( sum(pred(n11),n7) = sK0
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4256,f223]) ).
fof(f4256,plain,
( sum(pred(sum(n12,n15)),n7) = sK0
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4255,f22]) ).
fof(f4255,plain,
( sum(pred(sum(n12,n15)),sum(n14,n9)) = sK0
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4254,f365]) ).
fof(f4254,plain,
( sum(pred(sum(n12,n15)),sum(n14,pred(n10))) = sK0
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4253,f19]) ).
fof(f19,plain,
n10 = sum(n12,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f4253,plain,
( sum(pred(sum(n12,n15)),sum(n14,pred(sum(n12,n14)))) = sK0
| ~ spl3_7
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4220,f460]) ).
fof(f4248,plain,
( ~ spl3_1
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f4247]) ).
fof(f4247,plain,
( $false
| ~ spl3_1
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f4246,f67]) ).
fof(f4246,plain,
( n1 = sK0
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4245,f109]) ).
fof(f109,plain,
n1 = sum(n2,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f4245,plain,
( sum(n2,n15) = sK0
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4244,f147]) ).
fof(f4244,plain,
( sum(pred(n3),n15) = sK0
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4243,f36]) ).
fof(f4243,plain,
( sum(pred(sum(n4,n15)),n15) = sK0
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4242,f65]) ).
fof(f4242,plain,
( sum(pred(sum(n4,n15)),sum(n14,n1)) = sK0
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4241,f155]) ).
fof(f4241,plain,
( sum(pred(sum(n4,n15)),sum(n14,pred(n2))) = sK0
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4240,f105]) ).
fof(f105,plain,
n2 = sum(n4,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f4240,plain,
( sum(pred(sum(n4,n15)),sum(n14,pred(sum(n4,n14)))) = sK0
| ~ spl3_1
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4220,f436]) ).
fof(f4229,plain,
( ~ spl3_6
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f4228]) ).
fof(f4228,plain,
( $false
| ~ spl3_6
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f4227,f110]) ).
fof(f4227,plain,
( n7 = sK0
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4226,f414]) ).
fof(f414,plain,
n7 = sum(n13,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f4226,plain,
( sum(n13,n10) = sK0
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4225,f250]) ).
fof(f4225,plain,
( sum(pred(n14),n10) = sK0
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4224,f248]) ).
fof(f4224,plain,
( sum(pred(sum(n15,n15)),n10) = sK0
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4223,f326]) ).
fof(f4223,plain,
( sum(pred(sum(n15,n15)),sum(n14,n12)) = sK0
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4222,f95]) ).
fof(f4222,plain,
( sum(pred(sum(n15,n15)),sum(n14,pred(n13))) = sK0
| ~ spl3_6
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4221,f253]) ).
fof(f4221,plain,
( sum(pred(sum(n15,n15)),sum(n14,pred(sum(n15,n14)))) = sK0
| ~ spl3_6
| ~ spl3_18 ),
inference(backward_demodulation,[],[f4220,f456]) ).
fof(f4219,plain,
( ~ spl3_4
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f4218]) ).
fof(f4218,plain,
( $false
| ~ spl3_4
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f4217,f366]) ).
fof(f4217,plain,
( n13 = sK0
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4216,f9]) ).
fof(f4216,plain,
( sum(n8,n5) = sK0
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4215,f388]) ).
fof(f4215,plain,
( sum(pred(n9),n5) = sK0
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4214,f197]) ).
fof(f4214,plain,
( sum(pred(sum(n10,n15)),n5) = sK0
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4213,f357]) ).
fof(f4213,plain,
( sum(pred(sum(n10,succ(n14))),n5) = sK0
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4212,f400]) ).
fof(f4212,plain,
( sum(pred(sum(n10,succ(n14))),sum(n14,n7)) = sK0
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4211,f228]) ).
fof(f4211,plain,
( sum(pred(sum(n10,succ(n14))),sum(n14,pred(n8))) = sK0
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4210,f174]) ).
fof(f4210,plain,
( sum(pred(sum(n10,succ(n14))),sum(n14,pred(sum(n10,n14)))) = sK0
| ~ spl3_4
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4209,f448]) ).
fof(f4203,plain,
( ~ spl3_14
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f4202]) ).
fof(f4202,plain,
( $false
| ~ spl3_14
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f4201,f383]) ).
fof(f4201,plain,
( n12 = sK0
| ~ spl3_14
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4200,f315]) ).
fof(f4200,plain,
( sum(n15,n13) = sK0
| ~ spl3_14
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4199,f94]) ).
fof(f4199,plain,
( sum(pred(n0),n13) = sK0
| ~ spl3_14
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4198,f88]) ).
fof(f88,plain,
n0 = sum(n0,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f4198,plain,
( sK0 = sum(pred(sum(n0,n0)),n13)
| ~ spl3_14
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4197,f208]) ).
fof(f4197,plain,
( sum(pred(sum(n0,succ(n15))),n13) = sK0
| ~ spl3_14
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4196,f253]) ).
fof(f4196,plain,
( sum(pred(sum(n0,succ(n15))),sum(n15,n14)) = sK0
| ~ spl3_14
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4195,f325]) ).
fof(f4195,plain,
( sum(pred(sum(n0,succ(n15))),sum(n15,pred(n15))) = sK0
| ~ spl3_14
| ~ spl3_29 ),
inference(forward_demodulation,[],[f4194,f324]) ).
fof(f324,plain,
n15 = sum(n0,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f4194,plain,
( sum(pred(sum(n0,succ(n15))),sum(n15,pred(sum(n0,n15)))) = sK0
| ~ spl3_14
| ~ spl3_29 ),
inference(backward_demodulation,[],[f4107,f549]) ).
fof(f4107,plain,
( sum(pred(sum(n0,succ(sK1))),sum(sK1,pred(sum(n0,sK1)))) = sK0
| ~ spl3_14 ),
inference(forward_demodulation,[],[f231,f488]) ).
fof(f488,plain,
( n0 = sK2
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f486,plain,
( spl3_14
<=> n0 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f4193,plain,
( ~ spl3_14
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f4192]) ).
fof(f4192,plain,
( $false
| ~ spl3_14
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f4191,f220]) ).
fof(f4191,plain,
( n14 = sK0
| ~ spl3_14
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4190,f235]) ).
fof(f4190,plain,
( sum(n5,n9) = sK0
| ~ spl3_14
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4189,f195]) ).
fof(f4189,plain,
( sum(pred(n6),n9) = sK0
| ~ spl3_14
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4188,f380]) ).
fof(f380,plain,
n6 = sum(n0,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f4188,plain,
( sum(pred(sum(n0,n6)),n9) = sK0
| ~ spl3_14
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4187,f161]) ).
fof(f4187,plain,
( sum(pred(sum(n0,succ(n5))),n9) = sK0
| ~ spl3_14
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4186,f285]) ).
fof(f4186,plain,
( sum(pred(sum(n0,succ(n5))),sum(n5,n4)) = sK0
| ~ spl3_14
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4185,f124]) ).
fof(f4185,plain,
( sum(pred(sum(n0,succ(n5))),sum(n5,pred(n5))) = sK0
| ~ spl3_14
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4184,f279]) ).
fof(f279,plain,
n5 = sum(n0,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f4184,plain,
( sum(pred(sum(n0,succ(n5))),sum(n5,pred(sum(n0,n5)))) = sK0
| ~ spl3_14
| ~ spl3_25 ),
inference(forward_demodulation,[],[f4107,f533]) ).
fof(f4173,plain,
( ~ spl3_14
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f4172]) ).
fof(f4172,plain,
( $false
| ~ spl3_14
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f4171,f13]) ).
fof(f4171,plain,
( n9 = sK0
| ~ spl3_14
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4170,f37]) ).
fof(f4170,plain,
( sum(n14,n11) = sK0
| ~ spl3_14
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4169,f325]) ).
fof(f4169,plain,
( sum(pred(n15),n11) = sK0
| ~ spl3_14
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4168,f324]) ).
fof(f4168,plain,
( sum(pred(sum(n0,n15)),n11) = sK0
| ~ spl3_14
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4167,f357]) ).
fof(f4167,plain,
( sum(pred(sum(n0,succ(n14))),n11) = sK0
| ~ spl3_14
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4166,f431]) ).
fof(f4166,plain,
( sum(pred(sum(n0,succ(n14))),sum(n14,n13)) = sK0
| ~ spl3_14
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4165,f250]) ).
fof(f4165,plain,
( sum(pred(sum(n0,succ(n14))),sum(n14,pred(n14))) = sK0
| ~ spl3_14
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4164,f130]) ).
fof(f4164,plain,
( sum(pred(sum(n0,succ(n14))),sum(n14,pred(sum(n0,n14)))) = sK0
| ~ spl3_14
| ~ spl3_18 ),
inference(forward_demodulation,[],[f4107,f505]) ).
fof(f4161,plain,
( ~ spl3_14
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f4160]) ).
fof(f4160,plain,
( $false
| ~ spl3_14
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f4159,f251]) ).
fof(f4159,plain,
( n15 = sK0
| ~ spl3_14
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4158,f324]) ).
fof(f4158,plain,
( sum(n0,n15) = sK0
| ~ spl3_14
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4157,f406]) ).
fof(f4157,plain,
( sum(pred(n1),n15) = sK0
| ~ spl3_14
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4156,f312]) ).
fof(f312,plain,
n1 = sum(n0,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f4156,plain,
( sum(pred(sum(n0,n1)),n15) = sK0
| ~ spl3_14
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4155,f329]) ).
fof(f4155,plain,
( sum(pred(sum(n0,succ(n0))),n15) = sK0
| ~ spl3_14
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4154,f324]) ).
fof(f4154,plain,
( sum(pred(sum(n0,succ(n0))),sum(n0,n15)) = sK0
| ~ spl3_14
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4153,f94]) ).
fof(f4153,plain,
( sum(pred(sum(n0,succ(n0))),sum(n0,pred(n0))) = sK0
| ~ spl3_14
| ~ spl3_32 ),
inference(forward_demodulation,[],[f4152,f88]) ).
fof(f4152,plain,
( sK0 = sum(pred(sum(n0,succ(n0))),sum(n0,pred(sum(n0,n0))))
| ~ spl3_14
| ~ spl3_32 ),
inference(backward_demodulation,[],[f4107,f561]) ).
fof(f4134,plain,
( ~ spl3_14
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f4133]) ).
fof(f4133,plain,
( $false
| ~ spl3_14
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f4132,f331]) ).
fof(f4132,plain,
( n0 = sK0
| ~ spl3_14
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4131,f44]) ).
fof(f44,plain,
n0 = sum(n11,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f4131,plain,
( sum(n11,n5) = sK0
| ~ spl3_14
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4130,f99]) ).
fof(f4130,plain,
( sum(pred(n12),n5) = sK0
| ~ spl3_14
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4129,f38]) ).
fof(f38,plain,
n12 = sum(n0,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f4129,plain,
( sum(pred(sum(n0,n12)),n5) = sK0
| ~ spl3_14
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4128,f183]) ).
fof(f4128,plain,
( sum(pred(sum(n0,succ(n11))),n5) = sK0
| ~ spl3_14
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4127,f427]) ).
fof(f427,plain,
n5 = sum(n11,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f4127,plain,
( sum(pred(sum(n0,succ(n11))),sum(n11,n10)) = sK0
| ~ spl3_14
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4126,f115]) ).
fof(f4126,plain,
( sum(pred(sum(n0,succ(n11))),sum(n11,pred(n11))) = sK0
| ~ spl3_14
| ~ spl3_20 ),
inference(forward_demodulation,[],[f4125,f418]) ).
fof(f4125,plain,
( sum(pred(sum(n0,succ(n11))),sum(n11,pred(sum(n0,n11)))) = sK0
| ~ spl3_14
| ~ spl3_20 ),
inference(backward_demodulation,[],[f4107,f513]) ).
fof(f4122,plain,
( ~ spl3_14
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f4121]) ).
fof(f4121,plain,
( $false
| ~ spl3_14
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f4120,f110]) ).
fof(f4120,plain,
( n7 = sK0
| ~ spl3_14
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4119,f249]) ).
fof(f249,plain,
n7 = sum(n8,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f4119,plain,
( sum(n8,n15) = sK0
| ~ spl3_14
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4118,f388]) ).
fof(f4118,plain,
( sum(pred(n9),n15) = sK0
| ~ spl3_14
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4117,f384]) ).
fof(f4117,plain,
( sum(pred(sum(n0,n9)),n15) = sK0
| ~ spl3_14
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4116,f61]) ).
fof(f4116,plain,
( sum(pred(sum(n0,succ(n8))),n15) = sK0
| ~ spl3_14
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4115,f336]) ).
fof(f336,plain,
n15 = sum(n8,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f4115,plain,
( sum(pred(sum(n0,succ(n8))),sum(n8,n7)) = sK0
| ~ spl3_14
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4114,f228]) ).
fof(f4114,plain,
( sum(pred(sum(n0,succ(n8))),sum(n8,pred(n8))) = sK0
| ~ spl3_14
| ~ spl3_23 ),
inference(forward_demodulation,[],[f4113,f86]) ).
fof(f86,plain,
n8 = sum(n0,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f4113,plain,
( sum(pred(sum(n0,succ(n8))),sum(n8,pred(sum(n0,n8)))) = sK0
| ~ spl3_14
| ~ spl3_23 ),
inference(backward_demodulation,[],[f4107,f525]) ).
fof(f4095,plain,
( ~ spl3_14
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f4094]) ).
fof(f4094,plain,
( $false
| ~ spl3_14
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f4093,f381]) ).
fof(f4093,plain,
( n4 = sK0
| ~ spl3_14
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4092,f268]) ).
fof(f268,plain,
n4 = sum(n7,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f4092,plain,
( sum(n7,n13) = sK0
| ~ spl3_14
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4091,f228]) ).
fof(f4091,plain,
( sum(pred(n8),n13) = sK0
| ~ spl3_14
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4090,f86]) ).
fof(f4090,plain,
( sum(pred(sum(n0,n8)),n13) = sK0
| ~ spl3_14
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4089,f73]) ).
fof(f4089,plain,
( sum(pred(sum(n0,succ(n7))),n13) = sK0
| ~ spl3_14
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4088,f227]) ).
fof(f227,plain,
n13 = sum(n7,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f4088,plain,
( sum(pred(sum(n0,succ(n7))),sum(n7,n6)) = sK0
| ~ spl3_14
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4087,f80]) ).
fof(f4087,plain,
( sum(pred(sum(n0,succ(n7))),sum(n7,pred(n7))) = sK0
| ~ spl3_14
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4086,f294]) ).
fof(f294,plain,
n7 = sum(n0,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f4086,plain,
( sum(pred(sum(n0,succ(n7))),sum(n7,pred(sum(n0,n7)))) = sK0
| ~ spl3_14
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4085,f488]) ).
fof(f4085,plain,
( sum(pred(sum(sK2,succ(n7))),sum(n7,pred(sum(sK2,n7)))) = sK0
| ~ spl3_27 ),
inference(forward_demodulation,[],[f231,f541]) ).
fof(f4068,plain,
( ~ spl3_1
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f4067]) ).
fof(f4067,plain,
( $false
| ~ spl3_1
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f4066,f331]) ).
fof(f4066,plain,
( n0 = sK0
| ~ spl3_1
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4065,f342]) ).
fof(f342,plain,
n0 = sum(n7,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f4065,plain,
( sum(n7,n9) = sK0
| ~ spl3_1
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4064,f228]) ).
fof(f4064,plain,
( sum(pred(n8),n9) = sK0
| ~ spl3_1
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4063,f24]) ).
fof(f24,plain,
n8 = sum(n4,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f4063,plain,
( sum(pred(sum(n4,n4)),n9) = sK0
| ~ spl3_1
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4062,f237]) ).
fof(f237,plain,
n9 = sum(n3,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f4062,plain,
( sum(pred(sum(n4,n4)),sum(n3,n6)) = sK0
| ~ spl3_1
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4061,f80]) ).
fof(f4061,plain,
( sum(pred(sum(n4,n4)),sum(n3,pred(n7))) = sK0
| ~ spl3_1
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4060,f426]) ).
fof(f4060,plain,
( sum(pred(sum(n4,n4)),sum(n3,pred(sum(n4,n3)))) = sK0
| ~ spl3_1
| ~ spl3_30 ),
inference(backward_demodulation,[],[f3977,f436]) ).
fof(f3977,plain,
( sum(pred(sum(sK2,n4)),sum(n3,pred(sum(sK2,n3)))) = sK0
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3976,f225]) ).
fof(f225,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f5]) ).
fof(f3976,plain,
( sum(pred(sum(sK2,succ(n3))),sum(n3,pred(sum(sK2,n3)))) = sK0
| ~ spl3_30 ),
inference(forward_demodulation,[],[f231,f553]) ).
fof(f553,plain,
( n3 = sK1
| ~ spl3_30 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f551,plain,
( spl3_30
<=> n3 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).
fof(f4048,plain,
( ~ spl3_14
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f4047]) ).
fof(f4047,plain,
( $false
| ~ spl3_14
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f4046,f306]) ).
fof(f4046,plain,
( n8 = sK0
| ~ spl3_14
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4045,f206]) ).
fof(f206,plain,
n8 = sum(n3,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f4045,plain,
( sum(n3,n5) = sK0
| ~ spl3_14
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4044,f138]) ).
fof(f4044,plain,
( sum(pred(n4),n5) = sK0
| ~ spl3_14
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4043,f46]) ).
fof(f4043,plain,
( sum(pred(sum(n0,n4)),n5) = sK0
| ~ spl3_14
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4042,f14]) ).
fof(f14,plain,
n5 = sum(n3,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f4042,plain,
( sum(pred(sum(n0,n4)),sum(n3,n2)) = sK0
| ~ spl3_14
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4041,f147]) ).
fof(f4041,plain,
( sum(pred(sum(n0,n4)),sum(n3,pred(n3))) = sK0
| ~ spl3_14
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4040,f26]) ).
fof(f4040,plain,
( sum(pred(sum(n0,n4)),sum(n3,pred(sum(n0,n3)))) = sK0
| ~ spl3_14
| ~ spl3_30 ),
inference(backward_demodulation,[],[f3977,f488]) ).
fof(f4029,plain,
( ~ spl3_5
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f4028]) ).
fof(f4028,plain,
( $false
| ~ spl3_5
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f4027,f322]) ).
fof(f4027,plain,
( n2 = sK0
| ~ spl3_5
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4026,f334]) ).
fof(f334,plain,
n2 = sum(n8,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f4026,plain,
( sum(n8,n10) = sK0
| ~ spl3_5
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4025,f388]) ).
fof(f4025,plain,
( sum(pred(n9),n10) = sK0
| ~ spl3_5
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4024,f285]) ).
fof(f4024,plain,
( sum(pred(sum(n5,n4)),n10) = sK0
| ~ spl3_5
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4023,f79]) ).
fof(f4023,plain,
( sum(pred(sum(n5,n4)),sum(n3,n7)) = sK0
| ~ spl3_5
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4022,f228]) ).
fof(f4022,plain,
( sum(pred(sum(n5,n4)),sum(n3,pred(n8))) = sK0
| ~ spl3_5
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4021,f69]) ).
fof(f4021,plain,
( sum(pred(sum(n5,n4)),sum(n3,pred(sum(n5,n3)))) = sK0
| ~ spl3_5
| ~ spl3_30 ),
inference(backward_demodulation,[],[f3977,f452]) ).
fof(f4010,plain,
( ~ spl3_3
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f4009]) ).
fof(f4009,plain,
( $false
| ~ spl3_3
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f4008,f381]) ).
fof(f4008,plain,
( n4 = sK0
| ~ spl3_3
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4007,f52]) ).
fof(f52,plain,
n4 = sum(n1,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f4007,plain,
( sum(n1,n3) = sK0
| ~ spl3_3
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4006,f155]) ).
fof(f4006,plain,
( sum(pred(n2),n3) = sK0
| ~ spl3_3
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4005,f419]) ).
fof(f419,plain,
n2 = sum(n14,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f4005,plain,
( sum(pred(sum(n14,n4)),n3) = sK0
| ~ spl3_3
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4004,f106]) ).
fof(f4004,plain,
( sum(pred(sum(n14,n4)),sum(n3,n0)) = sK0
| ~ spl3_3
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4003,f406]) ).
fof(f4003,plain,
( sum(pred(sum(n14,n4)),sum(n3,pred(n1))) = sK0
| ~ spl3_3
| ~ spl3_30 ),
inference(forward_demodulation,[],[f4002,f425]) ).
fof(f425,plain,
n1 = sum(n14,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f4002,plain,
( sum(pred(sum(n14,n4)),sum(n3,pred(sum(n14,n3)))) = sK0
| ~ spl3_3
| ~ spl3_30 ),
inference(backward_demodulation,[],[f3977,f444]) ).
fof(f4000,plain,
( ~ spl3_4
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f3999]) ).
fof(f3999,plain,
( $false
| ~ spl3_4
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f3998,f383]) ).
fof(f3998,plain,
( n12 = sK0
| ~ spl3_4
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3997,f42]) ).
fof(f42,plain,
n12 = sum(n13,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f3997,plain,
( sum(n13,n15) = sK0
| ~ spl3_4
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3996,f250]) ).
fof(f3996,plain,
( sum(pred(n14),n15) = sK0
| ~ spl3_4
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3995,f182]) ).
fof(f3995,plain,
( sum(pred(sum(n10,n4)),n15) = sK0
| ~ spl3_4
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3994,f422]) ).
fof(f422,plain,
n15 = sum(n3,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f3994,plain,
( sum(pred(sum(n10,n4)),sum(n3,n12)) = sK0
| ~ spl3_4
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3993,f95]) ).
fof(f3993,plain,
( sum(pred(sum(n10,n4)),sum(n3,pred(n13))) = sK0
| ~ spl3_4
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3992,f298]) ).
fof(f298,plain,
n13 = sum(n10,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f3992,plain,
( sum(pred(sum(n10,n4)),sum(n3,pred(sum(n10,n3)))) = sK0
| ~ spl3_4
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3977,f448]) ).
fof(f3986,plain,
( ~ spl3_6
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f3985]) ).
fof(f3985,plain,
( $false
| ~ spl3_6
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f3984,f234]) ).
fof(f3984,plain,
( n6 = sK0
| ~ spl3_6
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3983,f202]) ).
fof(f202,plain,
n6 = sum(n2,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f3983,plain,
( sum(n2,n4) = sK0
| ~ spl3_6
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3982,f147]) ).
fof(f3982,plain,
( sum(pred(n3),n4) = sK0
| ~ spl3_6
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3981,f175]) ).
fof(f175,plain,
n3 = sum(n15,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f3981,plain,
( sum(pred(sum(n15,n4)),n4) = sK0
| ~ spl3_6
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3980,f72]) ).
fof(f3980,plain,
( sum(pred(sum(n15,n4)),sum(n3,n1)) = sK0
| ~ spl3_6
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3979,f155]) ).
fof(f3979,plain,
( sum(pred(sum(n15,n4)),sum(n3,pred(n2))) = sK0
| ~ spl3_6
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3978,f346]) ).
fof(f3978,plain,
( sum(pred(sum(n15,n4)),sum(n3,pred(sum(n15,n3)))) = sK0
| ~ spl3_6
| ~ spl3_30 ),
inference(backward_demodulation,[],[f3977,f456]) ).
fof(f3972,plain,
( ~ spl3_7
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f3971]) ).
fof(f3971,plain,
( $false
| ~ spl3_7
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f3970,f331]) ).
fof(f3970,plain,
( n0 = sK0
| ~ spl3_7
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3969,f78]) ).
fof(f3969,plain,
( sum(n15,n1) = sK0
| ~ spl3_7
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3968,f94]) ).
fof(f3968,plain,
( sum(pred(n0),n1) = sK0
| ~ spl3_7
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3967,f156]) ).
fof(f156,plain,
n0 = sum(n12,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f3967,plain,
( sum(pred(sum(n12,n4)),n1) = sK0
| ~ spl3_7
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3966,f225]) ).
fof(f3966,plain,
( sum(pred(sum(n12,succ(n3))),n1) = sK0
| ~ spl3_7
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3965,f341]) ).
fof(f341,plain,
n1 = sum(n3,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f3965,plain,
( sum(pred(sum(n12,succ(n3))),sum(n3,n14)) = sK0
| ~ spl3_7
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3964,f325]) ).
fof(f3964,plain,
( sK0 = sum(pred(sum(n12,succ(n3))),sum(n3,pred(n15)))
| ~ spl3_7
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3963,f230]) ).
fof(f3963,plain,
( sum(pred(sum(n12,succ(n3))),sum(n3,pred(sum(n12,n3)))) = sK0
| ~ spl3_7
| ~ spl3_30 ),
inference(backward_demodulation,[],[f3953,f553]) ).
fof(f3953,plain,
( sum(pred(sum(n12,succ(sK1))),sum(sK1,pred(sum(n12,sK1)))) = sK0
| ~ spl3_7 ),
inference(forward_demodulation,[],[f231,f460]) ).
fof(f3950,plain,
( ~ spl3_13
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f3949]) ).
fof(f3949,plain,
( $false
| ~ spl3_13
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f3948,f306]) ).
fof(f3948,plain,
( n8 = sK0
| ~ spl3_13
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3947,f372]) ).
fof(f372,plain,
n8 = sum(n2,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f3947,plain,
( sum(n2,n6) = sK0
| ~ spl3_13
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3946,f147]) ).
fof(f3946,plain,
( sum(pred(n3),n6) = sK0
| ~ spl3_13
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3945,f160]) ).
fof(f160,plain,
n3 = sum(n13,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f3945,plain,
( sum(pred(sum(n13,n6)),n6) = sK0
| ~ spl3_13
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3944,f161]) ).
fof(f3944,plain,
( sum(pred(sum(n13,succ(n5))),n6) = sK0
| ~ spl3_13
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3943,f151]) ).
fof(f3943,plain,
( sum(pred(sum(n13,succ(n5))),sum(n5,n1)) = sK0
| ~ spl3_13
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3942,f155]) ).
fof(f3942,plain,
( sum(pred(sum(n13,succ(n5))),sum(n5,pred(n2))) = sK0
| ~ spl3_13
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3941,f386]) ).
fof(f386,plain,
n2 = sum(n13,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f3941,plain,
( sum(pred(sum(n13,succ(n5))),sum(n5,pred(sum(n13,n5)))) = sK0
| ~ spl3_13
| ~ spl3_25 ),
inference(backward_demodulation,[],[f3813,f533]) ).
fof(f3813,plain,
( sum(pred(sum(n13,succ(sK1))),sum(sK1,pred(sum(n13,sK1)))) = sK0
| ~ spl3_13 ),
inference(backward_demodulation,[],[f231,f484]) ).
fof(f484,plain,
( n13 = sK2
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f482,plain,
( spl3_13
<=> n13 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f3931,plain,
( ~ spl3_13
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f3930]) ).
fof(f3930,plain,
( $false
| ~ spl3_13
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f3929,f234]) ).
fof(f3929,plain,
( n6 = sK0
| ~ spl3_13
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3928,f373]) ).
fof(f373,plain,
n6 = sum(n12,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f3928,plain,
( sum(n12,n10) = sK0
| ~ spl3_13
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3927,f95]) ).
fof(f3927,plain,
( sum(pred(n13),n10) = sK0
| ~ spl3_13
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3926,f203]) ).
fof(f203,plain,
n13 = sum(n13,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f3926,plain,
( sum(pred(sum(n13,n0)),n10) = sK0
| ~ spl3_13
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3925,f208]) ).
fof(f3925,plain,
( sum(pred(sum(n13,succ(n15))),n10) = sK0
| ~ spl3_13
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3924,f170]) ).
fof(f3924,plain,
( sum(pred(sum(n13,succ(n15))),sum(n15,n11)) = sK0
| ~ spl3_13
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3923,f99]) ).
fof(f3923,plain,
( sum(pred(sum(n13,succ(n15))),sum(n15,pred(n12))) = sK0
| ~ spl3_13
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3922,f42]) ).
fof(f3922,plain,
( sum(pred(sum(n13,succ(n15))),sum(n15,pred(sum(n13,n15)))) = sK0
| ~ spl3_13
| ~ spl3_29 ),
inference(backward_demodulation,[],[f3813,f549]) ).
fof(f3916,plain,
( ~ spl3_13
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f3915]) ).
fof(f3915,plain,
( $false
| ~ spl3_13
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f3914,f13]) ).
fof(f3914,plain,
( n9 = sK0
| ~ spl3_13
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3913,f133]) ).
fof(f133,plain,
n9 = sum(n13,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f3913,plain,
( sum(n13,n12) = sK0
| ~ spl3_13
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3912,f250]) ).
fof(f3912,plain,
( sum(pred(n14),n12) = sK0
| ~ spl3_13
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3911,f172]) ).
fof(f172,plain,
n14 = sum(n13,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f3911,plain,
( sum(pred(sum(n13,n1)),n12) = sK0
| ~ spl3_13
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3910,f329]) ).
fof(f3910,plain,
( sum(pred(sum(n13,succ(n0))),n12) = sK0
| ~ spl3_13
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3909,f38]) ).
fof(f3909,plain,
( sum(pred(sum(n13,succ(n0))),sum(n0,n12)) = sK0
| ~ spl3_13
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3908,f95]) ).
fof(f3908,plain,
( sum(pred(sum(n13,succ(n0))),sum(n0,pred(n13))) = sK0
| ~ spl3_13
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3907,f203]) ).
fof(f3907,plain,
( sum(pred(sum(n13,succ(n0))),sum(n0,pred(sum(n13,n0)))) = sK0
| ~ spl3_13
| ~ spl3_32 ),
inference(backward_demodulation,[],[f3813,f561]) ).
fof(f3893,plain,
( ~ spl3_13
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f3892]) ).
fof(f3892,plain,
( $false
| ~ spl3_13
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f3891,f67]) ).
fof(f3891,plain,
( n1 = sK0
| ~ spl3_13
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3890,f303]) ).
fof(f3890,plain,
( sum(n5,n12) = sK0
| ~ spl3_13
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3889,f195]) ).
fof(f3889,plain,
( sum(pred(n6),n12) = sK0
| ~ spl3_13
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3888,f330]) ).
fof(f330,plain,
n6 = sum(n13,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f3888,plain,
( sum(pred(sum(n13,n9)),n12) = sK0
| ~ spl3_13
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3887,f61]) ).
fof(f3887,plain,
( sum(pred(sum(n13,succ(n8))),n12) = sK0
| ~ spl3_13
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3886,f70]) ).
fof(f70,plain,
n12 = sum(n8,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f3886,plain,
( sum(pred(sum(n13,succ(n8))),sum(n8,n4)) = sK0
| ~ spl3_13
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3885,f124]) ).
fof(f3885,plain,
( sum(pred(sum(n13,succ(n8))),sum(n8,pred(n5))) = sK0
| ~ spl3_13
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3884,f262]) ).
fof(f262,plain,
n5 = sum(n13,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f3884,plain,
( sum(pred(sum(n13,succ(n8))),sum(n8,pred(sum(n13,n8)))) = sK0
| ~ spl3_13
| ~ spl3_23 ),
inference(backward_demodulation,[],[f3813,f525]) ).
fof(f3878,plain,
( ~ spl3_13
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f3877]) ).
fof(f3877,plain,
( $false
| ~ spl3_13
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f3876,f117]) ).
fof(f3876,plain,
( n10 = sK0
| ~ spl3_13
| ~ spl3_20 ),
inference(forward_demodulation,[],[f3875,f101]) ).
fof(f101,plain,
n10 = sum(n8,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f3875,plain,
( sum(n8,n2) = sK0
| ~ spl3_13
| ~ spl3_20 ),
inference(forward_demodulation,[],[f3874,f388]) ).
fof(f3874,plain,
( sum(pred(n9),n2) = sK0
| ~ spl3_13
| ~ spl3_20 ),
inference(forward_demodulation,[],[f3873,f133]) ).
fof(f3873,plain,
( sum(pred(sum(n13,n12)),n2) = sK0
| ~ spl3_13
| ~ spl3_20 ),
inference(forward_demodulation,[],[f3872,f183]) ).
fof(f3872,plain,
( sum(pred(sum(n13,succ(n11))),n2) = sK0
| ~ spl3_13
| ~ spl3_20 ),
inference(forward_demodulation,[],[f3871,f111]) ).
fof(f111,plain,
n2 = sum(n11,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f3871,plain,
( sum(pred(sum(n13,succ(n11))),sum(n11,n7)) = sK0
| ~ spl3_13
| ~ spl3_20 ),
inference(forward_demodulation,[],[f3870,f228]) ).
fof(f3870,plain,
( sum(pred(sum(n13,succ(n11))),sum(n11,pred(n8))) = sK0
| ~ spl3_13
| ~ spl3_20 ),
inference(forward_demodulation,[],[f3869,f128]) ).
fof(f3869,plain,
( sum(pred(sum(n13,succ(n11))),sum(n11,pred(sum(n13,n11)))) = sK0
| ~ spl3_13
| ~ spl3_20 ),
inference(backward_demodulation,[],[f3813,f513]) ).
fof(f3864,plain,
( ~ spl3_13
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f3863]) ).
fof(f3863,plain,
( $false
| ~ spl3_13
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f3862,f213]) ).
fof(f3862,plain,
( n3 = sK0
| ~ spl3_13
| ~ spl3_18 ),
inference(forward_demodulation,[],[f3861,f246]) ).
fof(f3861,plain,
( sum(n11,n8) = sK0
| ~ spl3_13
| ~ spl3_18 ),
inference(forward_demodulation,[],[f3860,f99]) ).
fof(f3860,plain,
( sK0 = sum(pred(n12),n8)
| ~ spl3_13
| ~ spl3_18 ),
inference(forward_demodulation,[],[f3859,f42]) ).
fof(f3859,plain,
( sum(pred(sum(n13,n15)),n8) = sK0
| ~ spl3_13
| ~ spl3_18 ),
inference(forward_demodulation,[],[f3858,f357]) ).
fof(f3858,plain,
( sum(pred(sum(n13,succ(n14))),n8) = sK0
| ~ spl3_13
| ~ spl3_18 ),
inference(forward_demodulation,[],[f3857,f204]) ).
fof(f204,plain,
n8 = sum(n14,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f3857,plain,
( sum(pred(sum(n13,succ(n14))),sum(n14,n10)) = sK0
| ~ spl3_13
| ~ spl3_18 ),
inference(forward_demodulation,[],[f3856,f115]) ).
fof(f3856,plain,
( sum(pred(sum(n13,succ(n14))),sum(n14,pred(n11))) = sK0
| ~ spl3_13
| ~ spl3_18 ),
inference(forward_demodulation,[],[f3855,f362]) ).
fof(f362,plain,
n11 = sum(n13,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f3855,plain,
( sum(pred(sum(n13,succ(n14))),sum(n14,pred(sum(n13,n14)))) = sK0
| ~ spl3_13
| ~ spl3_18 ),
inference(forward_demodulation,[],[f3813,f505]) ).
fof(f3854,plain,
( ~ spl3_13
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f3853]) ).
fof(f3853,plain,
( $false
| ~ spl3_13
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f3852,f322]) ).
fof(f3852,plain,
( n2 = sK0
| ~ spl3_13
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3851,f430]) ).
fof(f430,plain,
n2 = sum(n0,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f3851,plain,
( sum(n0,n2) = sK0
| ~ spl3_13
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3850,f406]) ).
fof(f3850,plain,
( sum(pred(n1),n2) = sK0
| ~ spl3_13
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3849,f242]) ).
fof(f3849,plain,
( sum(pred(sum(n13,n4)),n2) = sK0
| ~ spl3_13
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3848,f225]) ).
fof(f3848,plain,
( sum(pred(sum(n13,succ(n3))),n2) = sK0
| ~ spl3_13
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3847,f254]) ).
fof(f254,plain,
n2 = sum(n3,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f3847,plain,
( sum(pred(sum(n13,succ(n3))),sum(n3,n15)) = sK0
| ~ spl3_13
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3846,f94]) ).
fof(f3846,plain,
( sum(pred(sum(n13,succ(n3))),sum(n3,pred(n0))) = sK0
| ~ spl3_13
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3845,f103]) ).
fof(f103,plain,
n0 = sum(n13,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f3845,plain,
( sum(pred(sum(n13,succ(n3))),sum(n3,pred(sum(n13,n3)))) = sK0
| ~ spl3_13
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3813,f553]) ).
fof(f3831,plain,
( ~ spl3_13
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f3830]) ).
fof(f3830,plain,
( $false
| ~ spl3_13
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f3829,f220]) ).
fof(f3829,plain,
( n14 = sK0
| ~ spl3_13
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3828,f150]) ).
fof(f150,plain,
n14 = sum(n4,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f3828,plain,
( sum(n4,n10) = sK0
| ~ spl3_13
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3827,f124]) ).
fof(f3827,plain,
( sum(pred(n5),n10) = sK0
| ~ spl3_13
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3826,f262]) ).
fof(f3826,plain,
( sum(pred(sum(n13,n8)),n10) = sK0
| ~ spl3_13
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3825,f73]) ).
fof(f3825,plain,
( sum(pred(sum(n13,succ(n7))),n10) = sK0
| ~ spl3_13
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3824,f392]) ).
fof(f392,plain,
n10 = sum(n7,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f3824,plain,
( sum(pred(sum(n13,succ(n7))),sum(n7,n3)) = sK0
| ~ spl3_13
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3823,f138]) ).
fof(f3823,plain,
( sK0 = sum(pred(sum(n13,succ(n7))),sum(n7,pred(n4)))
| ~ spl3_13
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3822,f107]) ).
fof(f107,plain,
n4 = sum(n13,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f3822,plain,
( sum(pred(sum(n13,succ(n7))),sum(n7,pred(sum(n13,n7)))) = sK0
| ~ spl3_13
| ~ spl3_27 ),
inference(backward_demodulation,[],[f3813,f541]) ).
fof(f3812,plain,
( ~ spl3_6
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f3811]) ).
fof(f3811,plain,
( $false
| ~ spl3_6
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f3810,f306]) ).
fof(f3810,plain,
( n8 = sK0
| ~ spl3_6
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3809,f122]) ).
fof(f122,plain,
n8 = sum(n8,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f3809,plain,
( sum(n8,n0) = sK0
| ~ spl3_6
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3808,f388]) ).
fof(f3808,plain,
( sum(pred(n9),n0) = sK0
| ~ spl3_6
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3807,f340]) ).
fof(f3807,plain,
( sum(pred(sum(n15,n10)),n0) = sK0
| ~ spl3_6
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3806,f184]) ).
fof(f3806,plain,
( sum(pred(sum(n15,n10)),sum(n9,n7)) = sK0
| ~ spl3_6
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3805,f228]) ).
fof(f3805,plain,
( sK0 = sum(pred(sum(n15,n10)),sum(n9,pred(n8)))
| ~ spl3_6
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3804,f137]) ).
fof(f3804,plain,
( sum(pred(sum(n15,n10)),sum(n9,pred(sum(n15,n9)))) = sK0
| ~ spl3_6
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3707,f456]) ).
fof(f3707,plain,
( sum(pred(sum(sK2,n10)),sum(n9,pred(sum(sK2,n9)))) = sK0
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3706,f338]) ).
fof(f338,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f5]) ).
fof(f3706,plain,
( sum(pred(sum(sK2,succ(n9))),sum(n9,pred(sum(sK2,n9)))) = sK0
| ~ spl3_28 ),
inference(forward_demodulation,[],[f231,f545]) ).
fof(f545,plain,
( n9 = sK1
| ~ spl3_28 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f543,plain,
( spl3_28
<=> n9 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_28])]) ).
fof(f3802,plain,
( ~ spl3_13
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f3801]) ).
fof(f3801,plain,
( $false
| ~ spl3_13
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f3800,f381]) ).
fof(f3800,plain,
( n4 = sK0
| ~ spl3_13
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3799,f63]) ).
fof(f63,plain,
n4 = sum(n6,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f3799,plain,
( sum(n6,n14) = sK0
| ~ spl3_13
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3798,f80]) ).
fof(f3798,plain,
( sum(pred(n7),n14) = sK0
| ~ spl3_13
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3797,f414]) ).
fof(f3797,plain,
( sum(pred(sum(n13,n10)),n14) = sK0
| ~ spl3_13
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3796,f60]) ).
fof(f60,plain,
n14 = sum(n9,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f3796,plain,
( sum(pred(sum(n13,n10)),sum(n9,n5)) = sK0
| ~ spl3_13
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3795,f195]) ).
fof(f3795,plain,
( sum(pred(sum(n13,n10)),sum(n9,pred(n6))) = sK0
| ~ spl3_13
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3794,f330]) ).
fof(f3794,plain,
( sum(pred(sum(n13,n10)),sum(n9,pred(sum(n13,n9)))) = sK0
| ~ spl3_13
| ~ spl3_28 ),
inference(backward_demodulation,[],[f3707,f484]) ).
fof(f3791,plain,
( ~ spl3_14
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f3790]) ).
fof(f3790,plain,
( $false
| ~ spl3_14
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f3789,f117]) ).
fof(f3789,plain,
( n10 = sK0
| ~ spl3_14
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3788,f363]) ).
fof(f363,plain,
n10 = sum(n9,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f3788,plain,
( sum(n9,n1) = sK0
| ~ spl3_14
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3787,f365]) ).
fof(f3787,plain,
( sum(pred(n10),n1) = sK0
| ~ spl3_14
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3786,f134]) ).
fof(f3786,plain,
( sum(pred(sum(n0,n10)),n1) = sK0
| ~ spl3_14
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3785,f349]) ).
fof(f349,plain,
n1 = sum(n9,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f3785,plain,
( sum(pred(sum(n0,n10)),sum(n9,n8)) = sK0
| ~ spl3_14
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3784,f388]) ).
fof(f3784,plain,
( sum(pred(sum(n0,n10)),sum(n9,pred(n9))) = sK0
| ~ spl3_14
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3783,f384]) ).
fof(f3783,plain,
( sK0 = sum(pred(sum(n0,n10)),sum(n9,pred(sum(n0,n9))))
| ~ spl3_14
| ~ spl3_28 ),
inference(backward_demodulation,[],[f3707,f488]) ).
fof(f3768,plain,
( ~ spl3_3
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f3767]) ).
fof(f3767,plain,
( $false
| ~ spl3_3
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f3766,f234]) ).
fof(f3766,plain,
( n6 = sK0
| ~ spl3_3
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3765,f216]) ).
fof(f216,plain,
n6 = sum(n7,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f3765,plain,
( sum(n7,n15) = sK0
| ~ spl3_3
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3764,f228]) ).
fof(f3764,plain,
( sum(pred(n8),n15) = sK0
| ~ spl3_3
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3763,f204]) ).
fof(f3763,plain,
( sum(pred(sum(n14,n10)),n15) = sK0
| ~ spl3_3
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3762,f49]) ).
fof(f49,plain,
n15 = sum(n9,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f3762,plain,
( sum(pred(sum(n14,n10)),sum(n9,n6)) = sK0
| ~ spl3_3
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3761,f80]) ).
fof(f3761,plain,
( sum(pred(sum(n14,n10)),sum(n9,pred(n7))) = sK0
| ~ spl3_3
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3760,f22]) ).
fof(f3760,plain,
( sum(pred(sum(n14,n10)),sum(n9,pred(sum(n14,n9)))) = sK0
| ~ spl3_3
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3707,f444]) ).
fof(f3757,plain,
( ~ spl3_7
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f3756]) ).
fof(f3756,plain,
( $false
| ~ spl3_7
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f3755,f322]) ).
fof(f3755,plain,
( n2 = sK0
| ~ spl3_7
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3754,f364]) ).
fof(f364,plain,
n2 = sum(n5,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f3754,plain,
( sum(n5,n13) = sK0
| ~ spl3_7
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3753,f195]) ).
fof(f3753,plain,
( sum(pred(n6),n13) = sK0
| ~ spl3_7
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3752,f373]) ).
fof(f3752,plain,
( sum(pred(sum(n12,n10)),n13) = sK0
| ~ spl3_7
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3751,f413]) ).
fof(f413,plain,
n13 = sum(n9,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f3751,plain,
( sK0 = sum(pred(sum(n12,n10)),sum(n9,n4))
| ~ spl3_7
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3750,f124]) ).
fof(f3750,plain,
( sum(pred(sum(n12,n10)),sum(n9,pred(n5))) = sK0
| ~ spl3_7
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3749,f77]) ).
fof(f3749,plain,
( sum(pred(sum(n12,n10)),sum(n9,pred(sum(n12,n9)))) = sK0
| ~ spl3_7
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3707,f460]) ).
fof(f3746,plain,
( ~ spl3_1
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f3745]) ).
fof(f3745,plain,
( $false
| ~ spl3_1
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f3744,f322]) ).
fof(f3744,plain,
( n2 = sK0
| ~ spl3_1
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3743,f386]) ).
fof(f3743,plain,
( sum(n13,n5) = sK0
| ~ spl3_1
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3742,f250]) ).
fof(f3742,plain,
( sum(pred(n14),n5) = sK0
| ~ spl3_1
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3741,f150]) ).
fof(f3741,plain,
( sum(pred(sum(n4,n10)),n5) = sK0
| ~ spl3_1
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3740,f108]) ).
fof(f108,plain,
n5 = sum(n9,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f3740,plain,
( sum(pred(sum(n4,n10)),sum(n9,n12)) = sK0
| ~ spl3_1
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3739,f95]) ).
fof(f3739,plain,
( sum(pred(sum(n4,n10)),sum(n9,pred(n13))) = sK0
| ~ spl3_1
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3738,f307]) ).
fof(f3738,plain,
( sum(pred(sum(n4,n10)),sum(n9,pred(sum(n4,n9)))) = sK0
| ~ spl3_1
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3707,f436]) ).
fof(f3726,plain,
( ~ spl3_5
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f3725]) ).
fof(f3725,plain,
( $false
| ~ spl3_5
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f3724,f381]) ).
fof(f3724,plain,
( n4 = sK0
| ~ spl3_5
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3723,f132]) ).
fof(f3723,plain,
( sum(n14,n6) = sK0
| ~ spl3_5
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3722,f325]) ).
fof(f3722,plain,
( sum(pred(n15),n6) = sK0
| ~ spl3_5
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3721,f39]) ).
fof(f39,plain,
n15 = sum(n5,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f3721,plain,
( sum(pred(sum(n5,n10)),n6) = sK0
| ~ spl3_5
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3720,f58]) ).
fof(f3720,plain,
( sum(pred(sum(n5,n10)),sum(n9,n13)) = sK0
| ~ spl3_5
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3719,f250]) ).
fof(f3719,plain,
( sum(pred(sum(n5,n10)),sum(n9,pred(n14))) = sK0
| ~ spl3_5
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3718,f235]) ).
fof(f3718,plain,
( sum(pred(sum(n5,n10)),sum(n9,pred(sum(n5,n9)))) = sK0
| ~ spl3_5
| ~ spl3_28 ),
inference(backward_demodulation,[],[f3707,f452]) ).
fof(f3698,plain,
( ~ spl3_4
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f3697]) ).
fof(f3697,plain,
( $false
| ~ spl3_4
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f3696,f220]) ).
fof(f3696,plain,
( n14 = sK0
| ~ spl3_4
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3695,f193]) ).
fof(f193,plain,
n14 = sum(n3,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f3695,plain,
( sum(n3,n11) = sK0
| ~ spl3_4
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3694,f138]) ).
fof(f3694,plain,
( sum(pred(n4),n11) = sK0
| ~ spl3_4
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3693,f7]) ).
fof(f7,plain,
n4 = sum(n10,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f3693,plain,
( sum(pred(sum(n10,n10)),n11) = sK0
| ~ spl3_4
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3692,f338]) ).
fof(f3692,plain,
( sum(pred(sum(n10,succ(n9))),n11) = sK0
| ~ spl3_4
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3691,f47]) ).
fof(f47,plain,
n11 = sum(n9,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f3691,plain,
( sK0 = sum(pred(sum(n10,succ(n9))),sum(n9,n2))
| ~ spl3_4
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3690,f147]) ).
fof(f3690,plain,
( sum(pred(sum(n10,succ(n9))),sum(n9,pred(n3))) = sK0
| ~ spl3_4
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3689,f280]) ).
fof(f3689,plain,
( sum(pred(sum(n10,succ(n9))),sum(n9,pred(sum(n10,n9)))) = sK0
| ~ spl3_4
| ~ spl3_28 ),
inference(backward_demodulation,[],[f3684,f545]) ).
fof(f3684,plain,
( sum(pred(sum(n10,succ(sK1))),sum(sK1,pred(sum(n10,sK1)))) = sK0
| ~ spl3_4 ),
inference(backward_demodulation,[],[f231,f448]) ).
fof(f3680,plain,
( ~ spl3_12
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f3679]) ).
fof(f3679,plain,
( $false
| ~ spl3_12
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f3678,f381]) ).
fof(f3678,plain,
( n4 = sK0
| ~ spl3_12
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3677,f374]) ).
fof(f374,plain,
n4 = sum(n9,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f3677,plain,
( sum(n9,n11) = sK0
| ~ spl3_12
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3676,f365]) ).
fof(f3676,plain,
( sum(pred(n10),n11) = sK0
| ~ spl3_12
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3675,f81]) ).
fof(f81,plain,
n10 = sum(n6,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f3675,plain,
( sum(pred(sum(n6,n4)),n11) = sK0
| ~ spl3_12
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3674,f225]) ).
fof(f3674,plain,
( sum(pred(sum(n6,succ(n3))),n11) = sK0
| ~ spl3_12
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3673,f173]) ).
fof(f173,plain,
n11 = sum(n3,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f3673,plain,
( sum(pred(sum(n6,succ(n3))),sum(n3,n8)) = sK0
| ~ spl3_12
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3672,f388]) ).
fof(f3672,plain,
( sum(pred(sum(n6,succ(n3))),sum(n3,pred(n9))) = sK0
| ~ spl3_12
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3671,f244]) ).
fof(f244,plain,
n9 = sum(n6,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f3671,plain,
( sum(pred(sum(n6,succ(n3))),sum(n3,pred(sum(n6,n3)))) = sK0
| ~ spl3_12
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3549,f553]) ).
fof(f3549,plain,
( sum(pred(sum(n6,succ(sK1))),sum(sK1,pred(sum(n6,sK1)))) = sK0
| ~ spl3_12 ),
inference(forward_demodulation,[],[f231,f480]) ).
fof(f480,plain,
( n6 = sK2
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f478,plain,
( spl3_12
<=> n6 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f3661,plain,
( ~ spl3_12
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f3660]) ).
fof(f3660,plain,
( $false
| ~ spl3_12
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f3659,f117]) ).
fof(f3659,plain,
( n10 = sK0
| ~ spl3_12
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3658,f415]) ).
fof(f3658,plain,
( sum(n11,n15) = sK0
| ~ spl3_12
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3657,f99]) ).
fof(f3657,plain,
( sum(pred(n12),n15) = sK0
| ~ spl3_12
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3656,f199]) ).
fof(f199,plain,
n12 = sum(n6,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f3656,plain,
( sum(pred(sum(n6,n6)),n15) = sK0
| ~ spl3_12
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3655,f161]) ).
fof(f3655,plain,
( sum(pred(sum(n6,succ(n5))),n15) = sK0
| ~ spl3_12
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3654,f39]) ).
fof(f3654,plain,
( sK0 = sum(pred(sum(n6,succ(n5))),sum(n5,n10))
| ~ spl3_12
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3653,f115]) ).
fof(f3653,plain,
( sum(pred(sum(n6,succ(n5))),sum(n5,pred(n11))) = sK0
| ~ spl3_12
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3652,f261]) ).
fof(f261,plain,
n11 = sum(n6,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f3652,plain,
( sum(pred(sum(n6,succ(n5))),sum(n5,pred(sum(n6,n5)))) = sK0
| ~ spl3_12
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3549,f533]) ).
fof(f3641,plain,
( ~ spl3_12
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f3640]) ).
fof(f3640,plain,
( $false
| ~ spl3_12
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f3639,f306]) ).
fof(f3639,plain,
( n8 = sK0
| ~ spl3_12
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3638,f69]) ).
fof(f3638,plain,
( sum(n5,n3) = sK0
| ~ spl3_12
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3637,f195]) ).
fof(f3637,plain,
( sK0 = sum(pred(n6),n3)
| ~ spl3_12
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3636,f352]) ).
fof(f352,plain,
n6 = sum(n6,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f3636,plain,
( sum(pred(sum(n6,n0)),n3) = sK0
| ~ spl3_12
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3635,f208]) ).
fof(f3635,plain,
( sum(pred(sum(n6,succ(n15))),n3) = sK0
| ~ spl3_12
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3634,f175]) ).
fof(f3634,plain,
( sum(pred(sum(n6,succ(n15))),sum(n15,n4)) = sK0
| ~ spl3_12
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3633,f124]) ).
fof(f3633,plain,
( sum(pred(sum(n6,succ(n15))),sum(n15,pred(n5))) = sK0
| ~ spl3_12
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3632,f271]) ).
fof(f271,plain,
n5 = sum(n6,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f3632,plain,
( sum(pred(sum(n6,succ(n15))),sum(n15,pred(sum(n6,n15)))) = sK0
| ~ spl3_12
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3549,f549]) ).
fof(f3631,plain,
( ~ spl3_12
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f3630]) ).
fof(f3630,plain,
( $false
| ~ spl3_12
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f3629,f383]) ).
fof(f3629,plain,
( n12 = sK0
| ~ spl3_12
| ~ spl3_20 ),
inference(forward_demodulation,[],[f3628,f289]) ).
fof(f289,plain,
n12 = sum(n1,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f3628,plain,
( sum(n1,n11) = sK0
| ~ spl3_12
| ~ spl3_20 ),
inference(forward_demodulation,[],[f3627,f155]) ).
fof(f3627,plain,
( sum(pred(n2),n11) = sK0
| ~ spl3_12
| ~ spl3_20 ),
inference(forward_demodulation,[],[f3626,f119]) ).
fof(f3626,plain,
( sum(pred(sum(n6,n12)),n11) = sK0
| ~ spl3_12
| ~ spl3_20 ),
inference(forward_demodulation,[],[f3625,f183]) ).
fof(f3625,plain,
( sum(pred(sum(n6,succ(n11))),n11) = sK0
| ~ spl3_12
| ~ spl3_20 ),
inference(forward_demodulation,[],[f3624,f376]) ).
fof(f376,plain,
n11 = sum(n11,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f3624,plain,
( sum(pred(sum(n6,succ(n11))),sum(n11,n0)) = sK0
| ~ spl3_12
| ~ spl3_20 ),
inference(forward_demodulation,[],[f3623,f406]) ).
fof(f3623,plain,
( sum(pred(sum(n6,succ(n11))),sum(n11,pred(n1))) = sK0
| ~ spl3_12
| ~ spl3_20 ),
inference(forward_demodulation,[],[f3622,f159]) ).
fof(f159,plain,
n1 = sum(n6,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f3622,plain,
( sum(pred(sum(n6,succ(n11))),sum(n11,pred(sum(n6,n11)))) = sK0
| ~ spl3_12
| ~ spl3_20 ),
inference(backward_demodulation,[],[f3549,f513]) ).
fof(f3617,plain,
( ~ spl3_12
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f3616]) ).
fof(f3616,plain,
( $false
| ~ spl3_12
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f3615,f319]) ).
fof(f3615,plain,
( n5 = sK0
| ~ spl3_12
| ~ spl3_18 ),
inference(forward_demodulation,[],[f3614,f136]) ).
fof(f3614,plain,
( sum(n4,n1) = sK0
| ~ spl3_12
| ~ spl3_18 ),
inference(forward_demodulation,[],[f3613,f124]) ).
fof(f3613,plain,
( sum(pred(n5),n1) = sK0
| ~ spl3_12
| ~ spl3_18 ),
inference(forward_demodulation,[],[f3612,f271]) ).
fof(f3612,plain,
( sum(pred(sum(n6,n15)),n1) = sK0
| ~ spl3_12
| ~ spl3_18 ),
inference(forward_demodulation,[],[f3611,f357]) ).
fof(f3611,plain,
( sum(pred(sum(n6,succ(n14))),n1) = sK0
| ~ spl3_12
| ~ spl3_18 ),
inference(forward_demodulation,[],[f3610,f425]) ).
fof(f3610,plain,
( sum(pred(sum(n6,succ(n14))),sum(n14,n3)) = sK0
| ~ spl3_12
| ~ spl3_18 ),
inference(forward_demodulation,[],[f3609,f138]) ).
fof(f3609,plain,
( sum(pred(sum(n6,succ(n14))),sum(n14,pred(n4))) = sK0
| ~ spl3_12
| ~ spl3_18 ),
inference(forward_demodulation,[],[f3608,f63]) ).
fof(f3608,plain,
( sum(pred(sum(n6,succ(n14))),sum(n14,pred(sum(n6,n14)))) = sK0
| ~ spl3_12
| ~ spl3_18 ),
inference(forward_demodulation,[],[f3549,f505]) ).
fof(f3603,plain,
( ~ spl3_12
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f3602]) ).
fof(f3602,plain,
( $false
| ~ spl3_12
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f3601,f213]) ).
fof(f3601,plain,
( n3 = sK0
| ~ spl3_12
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3600,f18]) ).
fof(f3600,plain,
( sum(n14,n5) = sK0
| ~ spl3_12
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3599,f325]) ).
fof(f3599,plain,
( sum(pred(n15),n5) = sK0
| ~ spl3_12
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3598,f354]) ).
fof(f354,plain,
n15 = sum(n6,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f3598,plain,
( sum(pred(sum(n6,n9)),n5) = sK0
| ~ spl3_12
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3597,f61]) ).
fof(f3597,plain,
( sum(pred(sum(n6,succ(n8))),n5) = sK0
| ~ spl3_12
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3596,f408]) ).
fof(f408,plain,
n5 = sum(n8,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f3596,plain,
( sum(pred(sum(n6,succ(n8))),sum(n8,n13)) = sK0
| ~ spl3_12
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3595,f250]) ).
fof(f3595,plain,
( sum(pred(sum(n6,succ(n8))),sum(n8,pred(n14))) = sK0
| ~ spl3_12
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3594,f91]) ).
fof(f91,plain,
n14 = sum(n6,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f3594,plain,
( sum(pred(sum(n6,succ(n8))),sum(n8,pred(sum(n6,n8)))) = sK0
| ~ spl3_12
| ~ spl3_23 ),
inference(backward_demodulation,[],[f3549,f525]) ).
fof(f3586,plain,
( ~ spl3_12
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f3585]) ).
fof(f3585,plain,
( $false
| ~ spl3_12
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f3584,f234]) ).
fof(f3584,plain,
( n6 = sK0
| ~ spl3_12
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3583,f198]) ).
fof(f3583,plain,
( sum(n15,n7) = sK0
| ~ spl3_12
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3582,f94]) ).
fof(f3582,plain,
( sum(pred(n0),n7) = sK0
| ~ spl3_12
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3581,f295]) ).
fof(f295,plain,
n0 = sum(n6,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f3581,plain,
( sum(pred(sum(n6,n10)),n7) = sK0
| ~ spl3_12
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3580,f338]) ).
fof(f3580,plain,
( sum(pred(sum(n6,succ(n9))),n7) = sK0
| ~ spl3_12
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3579,f54]) ).
fof(f54,plain,
n7 = sum(n9,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f3579,plain,
( sum(pred(sum(n6,succ(n9))),sum(n9,n14)) = sK0
| ~ spl3_12
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3578,f325]) ).
fof(f3578,plain,
( sum(pred(sum(n6,succ(n9))),sum(n9,pred(n15))) = sK0
| ~ spl3_12
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3577,f354]) ).
fof(f3577,plain,
( sum(pred(sum(n6,succ(n9))),sum(n9,pred(sum(n6,n9)))) = sK0
| ~ spl3_12
| ~ spl3_28 ),
inference(backward_demodulation,[],[f3549,f545]) ).
fof(f3570,plain,
( ~ spl3_12
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f3569]) ).
fof(f3569,plain,
( $false
| ~ spl3_12
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f3568,f176]) ).
fof(f3568,plain,
( n11 = sK0
| ~ spl3_12
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3567,f261]) ).
fof(f3567,plain,
( sum(n6,n5) = sK0
| ~ spl3_12
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3566,f80]) ).
fof(f3566,plain,
( sK0 = sum(pred(n7),n5)
| ~ spl3_12
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3565,f252]) ).
fof(f252,plain,
n7 = sum(n6,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f3565,plain,
( sum(pred(sum(n6,n1)),n5) = sK0
| ~ spl3_12
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3564,f329]) ).
fof(f3564,plain,
( sK0 = sum(pred(sum(n6,succ(n0))),n5)
| ~ spl3_12
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3563,f279]) ).
fof(f3563,plain,
( sum(pred(sum(n6,succ(n0))),sum(n0,n5)) = sK0
| ~ spl3_12
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3562,f195]) ).
fof(f3562,plain,
( sum(pred(sum(n6,succ(n0))),sum(n0,pred(n6))) = sK0
| ~ spl3_12
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3561,f352]) ).
fof(f3561,plain,
( sum(pred(sum(n6,succ(n0))),sum(n0,pred(sum(n6,n0)))) = sK0
| ~ spl3_12
| ~ spl3_32 ),
inference(backward_demodulation,[],[f3549,f561]) ).
fof(f3541,plain,
( ~ spl3_12
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f3540]) ).
fof(f3540,plain,
( $false
| ~ spl3_12
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f3539,f331]) ).
fof(f3539,plain,
( n0 = sK0
| ~ spl3_12
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3538,f103]) ).
fof(f3538,plain,
( sum(n13,n3) = sK0
| ~ spl3_12
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3537,f250]) ).
fof(f3537,plain,
( sum(pred(n14),n3) = sK0
| ~ spl3_12
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3536,f91]) ).
fof(f3536,plain,
( sum(pred(sum(n6,n8)),n3) = sK0
| ~ spl3_12
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3535,f73]) ).
fof(f3535,plain,
( sum(pred(sum(n6,succ(n7))),n3) = sK0
| ~ spl3_12
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3534,f126]) ).
fof(f126,plain,
n3 = sum(n7,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f3534,plain,
( sum(pred(sum(n6,succ(n7))),sum(n7,n12)) = sK0
| ~ spl3_12
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3533,f95]) ).
fof(f3533,plain,
( sum(pred(sum(n6,succ(n7))),sum(n7,pred(n13))) = sK0
| ~ spl3_12
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3532,f179]) ).
fof(f179,plain,
n13 = sum(n6,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f3532,plain,
( sum(pred(sum(n6,succ(n7))),sum(n7,pred(sum(n6,n7)))) = sK0
| ~ spl3_12
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3531,f480]) ).
fof(f3531,plain,
( sum(pred(sum(sK2,succ(n7))),sum(n7,pred(sum(sK2,n7)))) = sK0
| ~ spl3_27 ),
inference(forward_demodulation,[],[f231,f541]) ).
fof(f3513,plain,
( ~ spl3_5
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f3512]) ).
fof(f3512,plain,
( $false
| ~ spl3_5
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f3511,f176]) ).
fof(f3511,plain,
( n11 = sK0
| ~ spl3_5
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3510,f376]) ).
fof(f3510,plain,
( sum(n11,n0) = sK0
| ~ spl3_5
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3509,f99]) ).
fof(f3509,plain,
( sum(pred(n12),n0) = sK0
| ~ spl3_5
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3508,f378]) ).
fof(f3508,plain,
( sum(pred(sum(n5,n7)),n0) = sK0
| ~ spl3_5
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3507,f295]) ).
fof(f3507,plain,
( sum(pred(sum(n5,n7)),sum(n6,n10)) = sK0
| ~ spl3_5
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3506,f115]) ).
fof(f3506,plain,
( sum(pred(sum(n5,n7)),sum(n6,pred(n11))) = sK0
| ~ spl3_5
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3504,f281]) ).
fof(f3504,plain,
( sum(pred(sum(n5,n7)),sum(n6,pred(sum(n5,n6)))) = sK0
| ~ spl3_5
| ~ spl3_26 ),
inference(backward_demodulation,[],[f3423,f452]) ).
fof(f3423,plain,
( sum(pred(sum(sK2,n7)),sum(n6,pred(sum(sK2,n6)))) = sK0
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3388,f76]) ).
fof(f76,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f5]) ).
fof(f3388,plain,
( sK0 = sum(pred(sum(sK2,succ(n6))),sum(n6,pred(sum(sK2,n6))))
| ~ spl3_26 ),
inference(forward_demodulation,[],[f231,f537]) ).
fof(f537,plain,
( n6 = sK1
| ~ spl3_26 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f535,plain,
( spl3_26
<=> n6 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).
fof(f3496,plain,
( ~ spl3_14
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f3495]) ).
fof(f3495,plain,
( $false
| ~ spl3_14
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f3494,f67]) ).
fof(f3494,plain,
( n1 = sK0
| ~ spl3_14
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3493,f159]) ).
fof(f3493,plain,
( sum(n6,n11) = sK0
| ~ spl3_14
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3492,f80]) ).
fof(f3492,plain,
( sum(pred(n7),n11) = sK0
| ~ spl3_14
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3491,f294]) ).
fof(f3491,plain,
( sum(pred(sum(n0,n7)),n11) = sK0
| ~ spl3_14
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3490,f261]) ).
fof(f3490,plain,
( sum(pred(sum(n0,n7)),sum(n6,n5)) = sK0
| ~ spl3_14
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3489,f195]) ).
fof(f3489,plain,
( sum(pred(sum(n0,n7)),sum(n6,pred(n6))) = sK0
| ~ spl3_14
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3488,f380]) ).
fof(f3488,plain,
( sum(pred(sum(n0,n7)),sum(n6,pred(sum(n0,n6)))) = sK0
| ~ spl3_14
| ~ spl3_26 ),
inference(backward_demodulation,[],[f3423,f488]) ).
fof(f3478,plain,
( ~ spl3_4
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f3477]) ).
fof(f3477,plain,
( $false
| ~ spl3_4
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f3476,f319]) ).
fof(f3476,plain,
( n5 = sK0
| ~ spl3_4
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3475,f279]) ).
fof(f3475,plain,
( sum(n0,n5) = sK0
| ~ spl3_4
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3474,f406]) ).
fof(f3474,plain,
( sK0 = sum(pred(n1),n5)
| ~ spl3_4
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3473,f162]) ).
fof(f3473,plain,
( sum(pred(sum(n10,n7)),n5) = sK0
| ~ spl3_4
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3472,f271]) ).
fof(f3472,plain,
( sum(pred(sum(n10,n7)),sum(n6,n15)) = sK0
| ~ spl3_4
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3471,f94]) ).
fof(f3471,plain,
( sum(pred(sum(n10,n7)),sum(n6,pred(n0))) = sK0
| ~ spl3_4
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3470,f218]) ).
fof(f3470,plain,
( sum(pred(sum(n10,n7)),sum(n6,pred(sum(n10,n6)))) = sK0
| ~ spl3_4
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3423,f448]) ).
fof(f3464,plain,
( ~ spl3_6
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f3463]) ).
fof(f3463,plain,
( $false
| ~ spl3_6
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f3462,f251]) ).
fof(f3462,plain,
( n15 = sK0
| ~ spl3_6
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3461,f39]) ).
fof(f3461,plain,
( sum(n5,n10) = sK0
| ~ spl3_6
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3460,f195]) ).
fof(f3460,plain,
( sum(pred(n6),n10) = sK0
| ~ spl3_6
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3459,f198]) ).
fof(f3459,plain,
( sum(pred(sum(n15,n7)),n10) = sK0
| ~ spl3_6
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3458,f81]) ).
fof(f3458,plain,
( sum(pred(sum(n15,n7)),sum(n6,n4)) = sK0
| ~ spl3_6
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3457,f124]) ).
fof(f3457,plain,
( sum(pred(sum(n15,n7)),sum(n6,pred(n5))) = sK0
| ~ spl3_6
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3456,f6]) ).
fof(f3456,plain,
( sum(pred(sum(n15,n7)),sum(n6,pred(sum(n15,n6)))) = sK0
| ~ spl3_6
| ~ spl3_26 ),
inference(backward_demodulation,[],[f3423,f456]) ).
fof(f3453,plain,
( ~ spl3_1
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f3452]) ).
fof(f3452,plain,
( $false
| ~ spl3_1
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f3451,f13]) ).
fof(f3451,plain,
( n9 = sK0
| ~ spl3_1
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3450,f197]) ).
fof(f3450,plain,
( sum(n10,n15) = sK0
| ~ spl3_1
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3449,f115]) ).
fof(f3449,plain,
( sum(pred(n11),n15) = sK0
| ~ spl3_1
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3448,f344]) ).
fof(f3448,plain,
( sum(pred(sum(n4,n7)),n15) = sK0
| ~ spl3_1
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3447,f354]) ).
fof(f3447,plain,
( sum(pred(sum(n4,n7)),sum(n6,n9)) = sK0
| ~ spl3_1
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3446,f365]) ).
fof(f3446,plain,
( sum(pred(sum(n4,n7)),sum(n6,pred(n10))) = sK0
| ~ spl3_1
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3445,f118]) ).
fof(f3445,plain,
( sum(pred(sum(n4,n7)),sum(n6,pred(sum(n4,n6)))) = sK0
| ~ spl3_1
| ~ spl3_26 ),
inference(backward_demodulation,[],[f3423,f436]) ).
fof(f3435,plain,
( ~ spl3_7
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f3434]) ).
fof(f3434,plain,
( $false
| ~ spl3_7
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f3433,f13]) ).
fof(f3433,plain,
( n9 = sK0
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3432,f394]) ).
fof(f394,plain,
n9 = sum(n2,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f3432,plain,
( sum(n2,n7) = sK0
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3431,f147]) ).
fof(f3431,plain,
( sum(pred(n3),n7) = sK0
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3430,f157]) ).
fof(f3430,plain,
( sum(pred(sum(n12,n7)),n7) = sK0
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3429,f252]) ).
fof(f3429,plain,
( sum(pred(sum(n12,n7)),sum(n6,n1)) = sK0
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3428,f155]) ).
fof(f3428,plain,
( sK0 = sum(pred(sum(n12,n7)),sum(n6,pred(n2)))
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3427,f243]) ).
fof(f3427,plain,
( sK0 = sum(pred(sum(n12,n7)),sum(n6,pred(sum(n12,n6))))
| ~ spl3_7
| ~ spl3_26 ),
inference(backward_demodulation,[],[f3423,f460]) ).
fof(f3421,plain,
( ~ spl3_13
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f3420]) ).
fof(f3420,plain,
( $false
| ~ spl3_13
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f3419,f176]) ).
fof(f3419,plain,
( n11 = sK0
| ~ spl3_13
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3418,f173]) ).
fof(f3418,plain,
( sum(n3,n8) = sK0
| ~ spl3_13
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3417,f138]) ).
fof(f3417,plain,
( sum(pred(n4),n8) = sK0
| ~ spl3_13
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3416,f107]) ).
fof(f3416,plain,
( sum(pred(sum(n13,n7)),n8) = sK0
| ~ spl3_13
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3415,f76]) ).
fof(f3415,plain,
( sum(pred(sum(n13,succ(n6))),n8) = sK0
| ~ spl3_13
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3414,f282]) ).
fof(f282,plain,
n8 = sum(n6,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f3414,plain,
( sum(pred(sum(n13,succ(n6))),sum(n6,n2)) = sK0
| ~ spl3_13
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3413,f147]) ).
fof(f3413,plain,
( sum(pred(sum(n13,succ(n6))),sum(n6,pred(n3))) = sK0
| ~ spl3_13
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3412,f160]) ).
fof(f3412,plain,
( sum(pred(sum(n13,succ(n6))),sum(n6,pred(sum(n13,n6)))) = sK0
| ~ spl3_13
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3388,f484]) ).
fof(f3409,plain,
( ~ spl3_3
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f3408]) ).
fof(f3408,plain,
( $false
| ~ spl3_3
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f3407,f366]) ).
fof(f3407,plain,
( n13 = sK0
| ~ spl3_3
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3406,f307]) ).
fof(f3406,plain,
( sum(n4,n9) = sK0
| ~ spl3_3
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3405,f124]) ).
fof(f3405,plain,
( sum(pred(n5),n9) = sK0
| ~ spl3_3
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3404,f400]) ).
fof(f3404,plain,
( sum(pred(sum(n14,n7)),n9) = sK0
| ~ spl3_3
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3403,f76]) ).
fof(f3403,plain,
( sum(pred(sum(n14,succ(n6))),n9) = sK0
| ~ spl3_3
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3402,f244]) ).
fof(f3402,plain,
( sum(pred(sum(n14,succ(n6))),sum(n6,n3)) = sK0
| ~ spl3_3
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3401,f138]) ).
fof(f3401,plain,
( sum(pred(sum(n14,succ(n6))),sum(n6,pred(n4))) = sK0
| ~ spl3_3
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3400,f132]) ).
fof(f3400,plain,
( sum(pred(sum(n14,succ(n6))),sum(n6,pred(sum(n14,n6)))) = sK0
| ~ spl3_3
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3388,f444]) ).
fof(f3398,plain,
( ~ spl3_12
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f3397]) ).
fof(f3397,plain,
( $false
| ~ spl3_12
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f3396,f366]) ).
fof(f3396,plain,
( n13 = sK0
| ~ spl3_12
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3395,f233]) ).
fof(f3395,plain,
( sum(n12,n1) = sK0
| ~ spl3_12
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3394,f95]) ).
fof(f3394,plain,
( sum(pred(n13),n1) = sK0
| ~ spl3_12
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3393,f179]) ).
fof(f3393,plain,
( sum(pred(sum(n6,n7)),n1) = sK0
| ~ spl3_12
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3392,f76]) ).
fof(f3392,plain,
( sum(pred(sum(n6,succ(n6))),n1) = sK0
| ~ spl3_12
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3391,f159]) ).
fof(f3391,plain,
( sum(pred(sum(n6,succ(n6))),sum(n6,n11)) = sK0
| ~ spl3_12
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3390,f99]) ).
fof(f3390,plain,
( sum(pred(sum(n6,succ(n6))),sum(n6,pred(n12))) = sK0
| ~ spl3_12
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3389,f199]) ).
fof(f3389,plain,
( sum(pred(sum(n6,succ(n6))),sum(n6,pred(sum(n6,n6)))) = sK0
| ~ spl3_12
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3388,f480]) ).
fof(f3370,plain,
( ~ spl3_11
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f3369]) ).
fof(f3369,plain,
( $false
| ~ spl3_11
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f3368,f13]) ).
fof(f3368,plain,
( n9 = sK0
| ~ spl3_11
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3367,f416]) ).
fof(f416,plain,
n9 = sum(n1,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f3367,plain,
( sum(n1,n8) = sK0
| ~ spl3_11
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3366,f155]) ).
fof(f3366,plain,
( sum(pred(n2),n8) = sK0
| ~ spl3_11
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3365,f217]) ).
fof(f217,plain,
n2 = sum(n9,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f3365,plain,
( sum(pred(sum(n9,n9)),n8) = sK0
| ~ spl3_11
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3364,f61]) ).
fof(f3364,plain,
( sum(pred(sum(n9,succ(n8))),n8) = sK0
| ~ spl3_11
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3363,f122]) ).
fof(f3363,plain,
( sum(pred(sum(n9,succ(n8))),sum(n8,n0)) = sK0
| ~ spl3_11
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3362,f406]) ).
fof(f3362,plain,
( sum(pred(sum(n9,succ(n8))),sum(n8,pred(n1))) = sK0
| ~ spl3_11
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3361,f349]) ).
fof(f3361,plain,
( sum(pred(sum(n9,succ(n8))),sum(n8,pred(sum(n9,n8)))) = sK0
| ~ spl3_11
| ~ spl3_23 ),
inference(backward_demodulation,[],[f3193,f525]) ).
fof(f3193,plain,
( sum(pred(sum(n9,succ(sK1))),sum(sK1,pred(sum(n9,sK1)))) = sK0
| ~ spl3_11 ),
inference(backward_demodulation,[],[f231,f476]) ).
fof(f476,plain,
( n9 = sK2
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f474,plain,
( spl3_11
<=> n9 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f3354,plain,
( ~ spl3_11
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f3353]) ).
fof(f3353,plain,
( $false
| ~ spl3_11
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f3352,f220]) ).
fof(f3352,plain,
( n14 = sK0
| ~ spl3_11
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3351,f113]) ).
fof(f3351,plain,
( sum(n8,n6) = sK0
| ~ spl3_11
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3350,f388]) ).
fof(f3350,plain,
( sum(pred(n9),n6) = sK0
| ~ spl3_11
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3349,f48]) ).
fof(f48,plain,
n9 = sum(n9,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f3349,plain,
( sum(pred(sum(n9,n0)),n6) = sK0
| ~ spl3_11
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3348,f208]) ).
fof(f3348,plain,
( sK0 = sum(pred(sum(n9,succ(n15))),n6)
| ~ spl3_11
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3347,f198]) ).
fof(f3347,plain,
( sum(pred(sum(n9,succ(n15))),sum(n15,n7)) = sK0
| ~ spl3_11
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3346,f228]) ).
fof(f3346,plain,
( sum(pred(sum(n9,succ(n15))),sum(n15,pred(n8))) = sK0
| ~ spl3_11
| ~ spl3_29 ),
inference(forward_demodulation,[],[f3345,f66]) ).
fof(f66,plain,
n8 = sum(n9,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f3345,plain,
( sum(pred(sum(n9,succ(n15))),sum(n15,pred(sum(n9,n15)))) = sK0
| ~ spl3_11
| ~ spl3_29 ),
inference(backward_demodulation,[],[f3193,f549]) ).
fof(f3343,plain,
( ~ spl3_11
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f3342]) ).
fof(f3342,plain,
( $false
| ~ spl3_11
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f3341,f331]) ).
fof(f3341,plain,
( n0 = sK0
| ~ spl3_11
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3340,f55]) ).
fof(f3340,plain,
( sum(n14,n2) = sK0
| ~ spl3_11
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3339,f325]) ).
fof(f3339,plain,
( sum(pred(n15),n2) = sK0
| ~ spl3_11
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3338,f49]) ).
fof(f3338,plain,
( sum(pred(sum(n9,n6)),n2) = sK0
| ~ spl3_11
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3337,f161]) ).
fof(f3337,plain,
( sum(pred(sum(n9,succ(n5))),n2) = sK0
| ~ spl3_11
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3336,f364]) ).
fof(f3336,plain,
( sum(pred(sum(n9,succ(n5))),sum(n5,n13)) = sK0
| ~ spl3_11
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3335,f250]) ).
fof(f3335,plain,
( sum(pred(sum(n9,succ(n5))),sum(n5,pred(n14))) = sK0
| ~ spl3_11
| ~ spl3_25 ),
inference(forward_demodulation,[],[f3334,f60]) ).
fof(f3334,plain,
( sum(pred(sum(n9,succ(n5))),sum(n5,pred(sum(n9,n5)))) = sK0
| ~ spl3_11
| ~ spl3_25 ),
inference(backward_demodulation,[],[f3193,f533]) ).
fof(f3324,plain,
( ~ spl3_11
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f3323]) ).
fof(f3323,plain,
( $false
| ~ spl3_11
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f3322,f67]) ).
fof(f3322,plain,
( n1 = sK0
| ~ spl3_11
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3321,f349]) ).
fof(f3321,plain,
( sum(n9,n8) = sK0
| ~ spl3_11
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3320,f365]) ).
fof(f3320,plain,
( sum(pred(n10),n8) = sK0
| ~ spl3_11
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3319,f363]) ).
fof(f3319,plain,
( sum(pred(sum(n9,n1)),n8) = sK0
| ~ spl3_11
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3318,f329]) ).
fof(f3318,plain,
( sum(pred(sum(n9,succ(n0))),n8) = sK0
| ~ spl3_11
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3317,f86]) ).
fof(f3317,plain,
( sum(pred(sum(n9,succ(n0))),sum(n0,n8)) = sK0
| ~ spl3_11
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3316,f388]) ).
fof(f3316,plain,
( sum(pred(sum(n9,succ(n0))),sum(n0,pred(n9))) = sK0
| ~ spl3_11
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3315,f48]) ).
fof(f3315,plain,
( sum(pred(sum(n9,succ(n0))),sum(n0,pred(sum(n9,n0)))) = sK0
| ~ spl3_11
| ~ spl3_32 ),
inference(backward_demodulation,[],[f3193,f561]) ).
fof(f3299,plain,
( ~ spl3_11
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f3298]) ).
fof(f3298,plain,
( $false
| ~ spl3_11
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f3297,f176]) ).
fof(f3297,plain,
( n11 = sK0
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f3296,f379]) ).
fof(f3296,plain,
( sum(n7,n4) = sK0
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f3295,f228]) ).
fof(f3295,plain,
( sum(pred(n8),n4) = sK0
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f3294,f66]) ).
fof(f3294,plain,
( sum(pred(sum(n9,n15)),n4) = sK0
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f3293,f357]) ).
fof(f3293,plain,
( sK0 = sum(pred(sum(n9,succ(n14))),n4)
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f3292,f132]) ).
fof(f3292,plain,
( sum(pred(sum(n9,succ(n14))),sum(n14,n6)) = sK0
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f3291,f80]) ).
fof(f3291,plain,
( sK0 = sum(pred(sum(n9,succ(n14))),sum(n14,pred(n7)))
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f3290,f54]) ).
fof(f3290,plain,
( sum(pred(sum(n9,succ(n14))),sum(n14,pred(sum(n9,n14)))) = sK0
| ~ spl3_11
| ~ spl3_18 ),
inference(forward_demodulation,[],[f3193,f505]) ).
fof(f3286,plain,
( ~ spl3_11
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f3285]) ).
fof(f3285,plain,
( $false
| ~ spl3_11
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f3284,f234]) ).
fof(f3284,plain,
( n6 = sK0
| ~ spl3_11
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3283,f380]) ).
fof(f3283,plain,
( sum(n0,n6) = sK0
| ~ spl3_11
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3282,f406]) ).
fof(f3282,plain,
( sum(pred(n1),n6) = sK0
| ~ spl3_11
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3281,f349]) ).
fof(f3281,plain,
( sum(pred(sum(n9,n8)),n6) = sK0
| ~ spl3_11
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3280,f73]) ).
fof(f3280,plain,
( sum(pred(sum(n9,succ(n7))),n6) = sK0
| ~ spl3_11
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3279,f216]) ).
fof(f3279,plain,
( sum(pred(sum(n9,succ(n7))),sum(n7,n15)) = sK0
| ~ spl3_11
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3278,f94]) ).
fof(f3278,plain,
( sum(pred(sum(n9,succ(n7))),sum(n7,pred(n0))) = sK0
| ~ spl3_11
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3277,f184]) ).
fof(f3277,plain,
( sum(pred(sum(n9,succ(n7))),sum(n7,pred(sum(n9,n7)))) = sK0
| ~ spl3_11
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3193,f541]) ).
fof(f3267,plain,
( ~ spl3_11
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f3266]) ).
fof(f3266,plain,
( $false
| ~ spl3_11
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f3265,f383]) ).
fof(f3265,plain,
( n12 = sK0
| ~ spl3_11
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3264,f35]) ).
fof(f35,plain,
n12 = sum(n2,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f3264,plain,
( sum(n2,n10) = sK0
| ~ spl3_11
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3263,f147]) ).
fof(f3263,plain,
( sum(pred(n3),n10) = sK0
| ~ spl3_11
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3262,f25]) ).
fof(f25,plain,
n3 = sum(n9,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f3262,plain,
( sum(pred(sum(n9,n10)),n10) = sK0
| ~ spl3_11
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3261,f338]) ).
fof(f3261,plain,
( sum(pred(sum(n9,succ(n9))),n10) = sK0
| ~ spl3_11
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3260,f363]) ).
fof(f3260,plain,
( sum(pred(sum(n9,succ(n9))),sum(n9,n1)) = sK0
| ~ spl3_11
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3259,f155]) ).
fof(f3259,plain,
( sum(pred(sum(n9,succ(n9))),sum(n9,pred(n2))) = sK0
| ~ spl3_11
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3258,f217]) ).
fof(f3258,plain,
( sum(pred(sum(n9,succ(n9))),sum(n9,pred(sum(n9,n9)))) = sK0
| ~ spl3_11
| ~ spl3_28 ),
inference(forward_demodulation,[],[f3193,f545]) ).
fof(f3253,plain,
( ~ spl3_11
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f3252]) ).
fof(f3252,plain,
( $false
| ~ spl3_11
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f3251,f322]) ).
fof(f3251,plain,
( n2 = sK0
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f3250,f105]) ).
fof(f3250,plain,
( sum(n4,n14) = sK0
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f3249,f124]) ).
fof(f3249,plain,
( sum(pred(n5),n14) = sK0
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f3248,f108]) ).
fof(f3248,plain,
( sum(pred(sum(n9,n12)),n14) = sK0
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f3247,f183]) ).
fof(f3247,plain,
( sK0 = sum(pred(sum(n9,succ(n11))),n14)
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f3246,f347]) ).
fof(f347,plain,
n14 = sum(n11,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f3246,plain,
( sum(pred(sum(n9,succ(n11))),sum(n11,n3)) = sK0
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f3245,f138]) ).
fof(f3245,plain,
( sum(pred(sum(n9,succ(n11))),sum(n11,pred(n4))) = sK0
| ~ spl3_11
| ~ spl3_20 ),
inference(forward_demodulation,[],[f3244,f374]) ).
fof(f3244,plain,
( sum(pred(sum(n9,succ(n11))),sum(n11,pred(sum(n9,n11)))) = sK0
| ~ spl3_11
| ~ spl3_20 ),
inference(backward_demodulation,[],[f3193,f513]) ).
fof(f3240,plain,
( ~ spl3_11
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f3239]) ).
fof(f3239,plain,
( $false
| ~ spl3_11
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f3238,f117]) ).
fof(f3238,plain,
( n10 = sK0
| ~ spl3_11
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3237,f19]) ).
fof(f3237,plain,
( sum(n12,n14) = sK0
| ~ spl3_11
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3236,f95]) ).
fof(f3236,plain,
( sum(pred(n13),n14) = sK0
| ~ spl3_11
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3235,f413]) ).
fof(f3235,plain,
( sum(pred(sum(n9,n4)),n14) = sK0
| ~ spl3_11
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3234,f225]) ).
fof(f3234,plain,
( sum(pred(sum(n9,succ(n3))),n14) = sK0
| ~ spl3_11
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3233,f193]) ).
fof(f3233,plain,
( sum(pred(sum(n9,succ(n3))),sum(n3,n11)) = sK0
| ~ spl3_11
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3232,f99]) ).
fof(f3232,plain,
( sum(pred(sum(n9,succ(n3))),sum(n3,pred(n12))) = sK0
| ~ spl3_11
| ~ spl3_30 ),
inference(forward_demodulation,[],[f3231,f259]) ).
fof(f3231,plain,
( sum(pred(sum(n9,succ(n3))),sum(n3,pred(sum(n9,n3)))) = sK0
| ~ spl3_11
| ~ spl3_30 ),
inference(backward_demodulation,[],[f3193,f553]) ).
fof(f3212,plain,
( ~ spl3_11
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f3211]) ).
fof(f3211,plain,
( $false
| ~ spl3_11
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f3210,f213]) ).
fof(f3210,plain,
( n3 = sK0
| ~ spl3_11
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3209,f175]) ).
fof(f3209,plain,
( sum(n15,n4) = sK0
| ~ spl3_11
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3208,f94]) ).
fof(f3208,plain,
( sum(pred(n0),n4) = sK0
| ~ spl3_11
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3207,f184]) ).
fof(f3207,plain,
( sum(pred(sum(n9,n7)),n4) = sK0
| ~ spl3_11
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3206,f76]) ).
fof(f3206,plain,
( sum(pred(sum(n9,succ(n6))),n4) = sK0
| ~ spl3_11
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3205,f63]) ).
fof(f3205,plain,
( sum(pred(sum(n9,succ(n6))),sum(n6,n14)) = sK0
| ~ spl3_11
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3204,f325]) ).
fof(f3204,plain,
( sum(pred(sum(n9,succ(n6))),sum(n6,pred(n15))) = sK0
| ~ spl3_11
| ~ spl3_26 ),
inference(forward_demodulation,[],[f3203,f49]) ).
fof(f3203,plain,
( sum(pred(sum(n9,succ(n6))),sum(n6,pred(sum(n9,n6)))) = sK0
| ~ spl3_11
| ~ spl3_26 ),
inference(backward_demodulation,[],[f3193,f537]) ).
fof(f3190,plain,
( ~ spl3_14
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f3189]) ).
fof(f3189,plain,
( $false
| ~ spl3_14
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f3188,f176]) ).
fof(f3188,plain,
( n11 = sK0
| ~ spl3_14
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3187,f344]) ).
fof(f3187,plain,
( sum(n4,n7) = sK0
| ~ spl3_14
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3186,f124]) ).
fof(f3186,plain,
( sum(pred(n5),n7) = sK0
| ~ spl3_14
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3185,f279]) ).
fof(f3185,plain,
( sum(pred(sum(n0,n5)),n7) = sK0
| ~ spl3_14
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3184,f426]) ).
fof(f3184,plain,
( sum(pred(sum(n0,n5)),sum(n4,n3)) = sK0
| ~ spl3_14
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3183,f138]) ).
fof(f3183,plain,
( sum(pred(sum(n0,n5)),sum(n4,pred(n4))) = sK0
| ~ spl3_14
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3182,f46]) ).
fof(f3182,plain,
( sum(pred(sum(n0,n5)),sum(n4,pred(sum(n0,n4)))) = sK0
| ~ spl3_14
| ~ spl3_24 ),
inference(backward_demodulation,[],[f3090,f488]) ).
fof(f3090,plain,
( sum(pred(sum(sK2,n5)),sum(n4,pred(sum(sK2,n4)))) = sK0
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3043,f74]) ).
fof(f74,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f5]) ).
fof(f3043,plain,
( sum(pred(sum(sK2,succ(n4))),sum(n4,pred(sum(sK2,n4)))) = sK0
| ~ spl3_24 ),
inference(forward_demodulation,[],[f231,f529]) ).
fof(f529,plain,
( n4 = sK1
| ~ spl3_24 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f527,plain,
( spl3_24
<=> n4 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).
fof(f3167,plain,
( ~ spl3_13
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f3166]) ).
fof(f3166,plain,
( $false
| ~ spl3_13
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f3165,f319]) ).
fof(f3165,plain,
( n5 = sK0
| ~ spl3_13
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3164,f327]) ).
fof(f327,plain,
n5 = sum(n1,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f3164,plain,
( sum(n1,n4) = sK0
| ~ spl3_13
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3163,f155]) ).
fof(f3163,plain,
( sum(pred(n2),n4) = sK0
| ~ spl3_13
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3162,f386]) ).
fof(f3162,plain,
( sum(pred(sum(n13,n5)),n4) = sK0
| ~ spl3_13
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3161,f75]) ).
fof(f3161,plain,
( sum(pred(sum(n13,n5)),sum(n4,n0)) = sK0
| ~ spl3_13
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3160,f406]) ).
fof(f3160,plain,
( sum(pred(sum(n13,n5)),sum(n4,pred(n1))) = sK0
| ~ spl3_13
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3159,f242]) ).
fof(f3159,plain,
( sum(pred(sum(n13,n5)),sum(n4,pred(sum(n13,n4)))) = sK0
| ~ spl3_13
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3090,f484]) ).
fof(f3157,plain,
( ~ spl3_11
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f3156]) ).
fof(f3156,plain,
( $false
| ~ spl3_11
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f3155,f366]) ).
fof(f3155,plain,
( n13 = sK0
| ~ spl3_11
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3154,f203]) ).
fof(f3154,plain,
( sum(n13,n0) = sK0
| ~ spl3_11
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3153,f250]) ).
fof(f3153,plain,
( sum(pred(n14),n0) = sK0
| ~ spl3_11
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3152,f60]) ).
fof(f3152,plain,
( sum(pred(sum(n9,n5)),n0) = sK0
| ~ spl3_11
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3151,f310]) ).
fof(f3151,plain,
( sum(pred(sum(n9,n5)),sum(n4,n12)) = sK0
| ~ spl3_11
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3150,f95]) ).
fof(f3150,plain,
( sum(pred(sum(n9,n5)),sum(n4,pred(n13))) = sK0
| ~ spl3_11
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3149,f413]) ).
fof(f3149,plain,
( sum(pred(sum(n9,n5)),sum(n4,pred(sum(n9,n4)))) = sK0
| ~ spl3_11
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3090,f476]) ).
fof(f3142,plain,
( ~ spl3_3
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f3141]) ).
fof(f3141,plain,
( $false
| ~ spl3_3
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f3140,f110]) ).
fof(f3140,plain,
( n7 = sK0
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3139,f85]) ).
fof(f85,plain,
n7 = sum(n2,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f3139,plain,
( sum(n2,n5) = sK0
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3138,f147]) ).
fof(f3138,plain,
( sum(pred(n3),n5) = sK0
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3137,f18]) ).
fof(f3137,plain,
( sum(pred(sum(n14,n5)),n5) = sK0
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3136,f136]) ).
fof(f3136,plain,
( sK0 = sum(pred(sum(n14,n5)),sum(n4,n1))
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3135,f155]) ).
fof(f3135,plain,
( sum(pred(sum(n14,n5)),sum(n4,pred(n2))) = sK0
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3134,f419]) ).
fof(f3134,plain,
( sum(pred(sum(n14,n5)),sum(n4,pred(sum(n14,n4)))) = sK0
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3090,f444]) ).
fof(f3131,plain,
( ~ spl3_4
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f3130]) ).
fof(f3130,plain,
( $false
| ~ spl3_4
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f3129,f251]) ).
fof(f3129,plain,
( n15 = sK0
| ~ spl3_4
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3128,f65]) ).
fof(f3128,plain,
( sum(n14,n1) = sK0
| ~ spl3_4
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3127,f325]) ).
fof(f3127,plain,
( sum(pred(n15),n1) = sK0
| ~ spl3_4
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3126,f353]) ).
fof(f3126,plain,
( sum(pred(sum(n10,n5)),n1) = sK0
| ~ spl3_4
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3125,f284]) ).
fof(f284,plain,
n1 = sum(n4,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f3125,plain,
( sum(pred(sum(n10,n5)),sum(n4,n13)) = sK0
| ~ spl3_4
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3124,f250]) ).
fof(f3124,plain,
( sum(pred(sum(n10,n5)),sum(n4,pred(n14))) = sK0
| ~ spl3_4
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3123,f182]) ).
fof(f3123,plain,
( sum(pred(sum(n10,n5)),sum(n4,pred(sum(n10,n4)))) = sK0
| ~ spl3_4
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3090,f448]) ).
fof(f3117,plain,
( ~ spl3_5
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f3116]) ).
fof(f3116,plain,
( $false
| ~ spl3_5
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f3115,f319]) ).
fof(f3115,plain,
( n5 = sK0
| ~ spl3_5
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3114,f108]) ).
fof(f3114,plain,
( sum(n9,n12) = sK0
| ~ spl3_5
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3113,f365]) ).
fof(f3113,plain,
( sum(pred(n10),n12) = sK0
| ~ spl3_5
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3112,f185]) ).
fof(f3112,plain,
( sum(pred(sum(n5,n5)),n12) = sK0
| ~ spl3_5
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3111,f20]) ).
fof(f3111,plain,
( sum(pred(sum(n5,n5)),sum(n4,n8)) = sK0
| ~ spl3_5
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3110,f388]) ).
fof(f3110,plain,
( sum(pred(sum(n5,n5)),sum(n4,pred(n9))) = sK0
| ~ spl3_5
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3109,f285]) ).
fof(f3109,plain,
( sum(pred(sum(n5,n5)),sum(n4,pred(sum(n5,n4)))) = sK0
| ~ spl3_5
| ~ spl3_24 ),
inference(backward_demodulation,[],[f3090,f452]) ).
fof(f3101,plain,
( ~ spl3_7
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f3100]) ).
fof(f3100,plain,
( $false
| ~ spl3_7
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f3099,f213]) ).
fof(f3099,plain,
( n3 = sK0
| ~ spl3_7
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3098,f26]) ).
fof(f3098,plain,
( sum(n0,n3) = sK0
| ~ spl3_7
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3097,f406]) ).
fof(f3097,plain,
( sum(pred(n1),n3) = sK0
| ~ spl3_7
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3096,f104]) ).
fof(f3096,plain,
( sum(pred(sum(n12,n5)),n3) = sK0
| ~ spl3_7
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3095,f36]) ).
fof(f3095,plain,
( sum(pred(sum(n12,n5)),sum(n4,n15)) = sK0
| ~ spl3_7
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3094,f94]) ).
fof(f3094,plain,
( sum(pred(sum(n12,n5)),sum(n4,pred(n0))) = sK0
| ~ spl3_7
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3093,f156]) ).
fof(f3093,plain,
( sum(pred(sum(n12,n5)),sum(n4,pred(sum(n12,n4)))) = sK0
| ~ spl3_7
| ~ spl3_24 ),
inference(backward_demodulation,[],[f3090,f460]) ).
fof(f3089,plain,
( ~ spl3_1
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f3088]) ).
fof(f3088,plain,
( $false
| ~ spl3_1
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f3087,f213]) ).
fof(f3087,plain,
( n3 = sK0
| ~ spl3_1
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3086,f320]) ).
fof(f3086,plain,
( sum(n8,n11) = sK0
| ~ spl3_1
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3085,f388]) ).
fof(f3085,plain,
( sum(pred(n9),n11) = sK0
| ~ spl3_1
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3084,f163]) ).
fof(f3084,plain,
( sum(pred(sum(n4,n5)),n11) = sK0
| ~ spl3_1
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3083,f74]) ).
fof(f3083,plain,
( sum(pred(sum(n4,succ(n4))),n11) = sK0
| ~ spl3_1
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3082,f344]) ).
fof(f3082,plain,
( sum(pred(sum(n4,succ(n4))),sum(n4,n7)) = sK0
| ~ spl3_1
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3081,f228]) ).
fof(f3081,plain,
( sum(pred(sum(n4,succ(n4))),sum(n4,pred(n8))) = sK0
| ~ spl3_1
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3080,f24]) ).
fof(f3080,plain,
( sum(pred(sum(n4,succ(n4))),sum(n4,pred(sum(n4,n4)))) = sK0
| ~ spl3_1
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3043,f436]) ).
fof(f3069,plain,
( ~ spl3_6
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f3068]) ).
fof(f3068,plain,
( $false
| ~ spl3_6
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f3067,f13]) ).
fof(f3067,plain,
( n9 = sK0
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3066,f237]) ).
fof(f3066,plain,
( sum(n3,n6) = sK0
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3065,f138]) ).
fof(f3065,plain,
( sum(pred(n4),n6) = sK0
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3064,f287]) ).
fof(f3064,plain,
( sum(pred(sum(n15,n5)),n6) = sK0
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3063,f74]) ).
fof(f3063,plain,
( sum(pred(sum(n15,succ(n4))),n6) = sK0
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3062,f57]) ).
fof(f3062,plain,
( sum(pred(sum(n15,succ(n4))),sum(n4,n2)) = sK0
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3061,f147]) ).
fof(f3061,plain,
( sum(pred(sum(n15,succ(n4))),sum(n4,pred(n3))) = sK0
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3060,f175]) ).
fof(f3060,plain,
( sK0 = sum(pred(sum(n15,succ(n4))),sum(n4,pred(sum(n15,n4))))
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3043,f456]) ).
fof(f3053,plain,
( ~ spl3_12
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f3052]) ).
fof(f3052,plain,
( $false
| ~ spl3_12
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f3051,f110]) ).
fof(f3051,plain,
( n7 = sK0
| ~ spl3_12
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3050,f145]) ).
fof(f145,plain,
n7 = sum(n10,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f3050,plain,
( sum(n10,n13) = sK0
| ~ spl3_12
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3049,f115]) ).
fof(f3049,plain,
( sum(pred(n11),n13) = sK0
| ~ spl3_12
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3048,f261]) ).
fof(f3048,plain,
( sum(pred(sum(n6,n5)),n13) = sK0
| ~ spl3_12
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3047,f74]) ).
fof(f3047,plain,
( sum(pred(sum(n6,succ(n4))),n13) = sK0
| ~ spl3_12
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3046,f307]) ).
fof(f3046,plain,
( sum(pred(sum(n6,succ(n4))),sum(n4,n9)) = sK0
| ~ spl3_12
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3045,f365]) ).
fof(f3045,plain,
( sK0 = sum(pred(sum(n6,succ(n4))),sum(n4,pred(n10)))
| ~ spl3_12
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3044,f81]) ).
fof(f3044,plain,
( sum(pred(sum(n6,succ(n4))),sum(n4,pred(sum(n6,n4)))) = sK0
| ~ spl3_12
| ~ spl3_24 ),
inference(forward_demodulation,[],[f3043,f480]) ).
fof(f3026,plain,
( ~ spl3_10
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f3025]) ).
fof(f3025,plain,
( $false
| ~ spl3_10
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f3024,f67]) ).
fof(f3024,plain,
( n1 = sK0
| ~ spl3_10
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3023,f391]) ).
fof(f391,plain,
n1 = sum(n1,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f3023,plain,
( sum(n1,n0) = sK0
| ~ spl3_10
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3022,f155]) ).
fof(f3022,plain,
( sum(pred(n2),n0) = sK0
| ~ spl3_10
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3021,f247]) ).
fof(f247,plain,
n2 = sum(n1,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f3021,plain,
( sum(pred(sum(n1,n1)),n0) = sK0
| ~ spl3_10
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3020,f329]) ).
fof(f3020,plain,
( sum(pred(sum(n1,succ(n0))),n0) = sK0
| ~ spl3_10
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3019,f88]) ).
fof(f3019,plain,
( sum(pred(sum(n1,succ(n0))),sum(n0,n0)) = sK0
| ~ spl3_10
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3018,f406]) ).
fof(f3018,plain,
( sum(pred(sum(n1,succ(n0))),sum(n0,pred(n1))) = sK0
| ~ spl3_10
| ~ spl3_32 ),
inference(forward_demodulation,[],[f3017,f391]) ).
fof(f3017,plain,
( sum(pred(sum(n1,succ(n0))),sum(n0,pred(sum(n1,n0)))) = sK0
| ~ spl3_10
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2915,f561]) ).
fof(f2915,plain,
( sK0 = sum(pred(sum(n1,succ(sK1))),sum(sK1,pred(sum(n1,sK1))))
| ~ spl3_10 ),
inference(forward_demodulation,[],[f231,f472]) ).
fof(f472,plain,
( n1 = sK2
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f470,plain,
( spl3_10
<=> n1 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f3003,plain,
( ~ spl3_10
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f3002]) ).
fof(f3002,plain,
( $false
| ~ spl3_10
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f3001,f234]) ).
fof(f3001,plain,
( n6 = sK0
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3000,f387]) ).
fof(f387,plain,
n6 = sum(n8,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f3000,plain,
( sum(n8,n14) = sK0
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2999,f388]) ).
fof(f2999,plain,
( sum(pred(n9),n14) = sK0
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2998,f416]) ).
fof(f2998,plain,
( sum(pred(sum(n1,n8)),n14) = sK0
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2997,f73]) ).
fof(f2997,plain,
( sum(pred(sum(n1,succ(n7))),n14) = sK0
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2996,f188]) ).
fof(f188,plain,
n14 = sum(n7,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f2996,plain,
( sum(pred(sum(n1,succ(n7))),sum(n7,n7)) = sK0
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2995,f228]) ).
fof(f2995,plain,
( sum(pred(sum(n1,succ(n7))),sum(n7,pred(n8))) = sK0
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2994,f269]) ).
fof(f2994,plain,
( sum(pred(sum(n1,succ(n7))),sum(n7,pred(sum(n1,n7)))) = sK0
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2915,f541]) ).
fof(f2986,plain,
( ~ spl3_10
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f2985]) ).
fof(f2985,plain,
( $false
| ~ spl3_10
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f2984,f176]) ).
fof(f2984,plain,
( n11 = sK0
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2983,f200]) ).
fof(f2983,plain,
( sum(n15,n12) = sK0
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2982,f94]) ).
fof(f2982,plain,
( sum(pred(n0),n12) = sK0
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2981,f272]) ).
fof(f272,plain,
n0 = sum(n1,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f2981,plain,
( sum(pred(sum(n1,n15)),n12) = sK0
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2980,f357]) ).
fof(f2980,plain,
( sum(pred(sum(n1,succ(n14))),n12) = sK0
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2979,f178]) ).
fof(f2979,plain,
( sum(pred(sum(n1,succ(n14))),sum(n14,n14)) = sK0
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2978,f325]) ).
fof(f2978,plain,
( sum(pred(sum(n1,succ(n14))),sum(n14,pred(n15))) = sK0
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2977,f323]) ).
fof(f323,plain,
n15 = sum(n1,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f2977,plain,
( sum(pred(sum(n1,succ(n14))),sum(n14,pred(sum(n1,n14)))) = sK0
| ~ spl3_10
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2915,f505]) ).
fof(f2974,plain,
( ~ spl3_10
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f2973]) ).
fof(f2973,plain,
( $false
| ~ spl3_10
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f2972,f322]) ).
fof(f2972,plain,
( n2 = sK0
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2971,f243]) ).
fof(f2971,plain,
( sum(n12,n6) = sK0
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2970,f95]) ).
fof(f2970,plain,
( sum(pred(n13),n6) = sK0
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2969,f245]) ).
fof(f245,plain,
n13 = sum(n1,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f2969,plain,
( sum(pred(sum(n1,n12)),n6) = sK0
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2968,f183]) ).
fof(f2968,plain,
( sum(pred(sum(n1,succ(n11))),n6) = sK0
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2967,f291]) ).
fof(f291,plain,
n6 = sum(n11,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f2967,plain,
( sK0 = sum(pred(sum(n1,succ(n11))),sum(n11,n11))
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2966,f99]) ).
fof(f2966,plain,
( sum(pred(sum(n1,succ(n11))),sum(n11,pred(n12))) = sK0
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2965,f289]) ).
fof(f2965,plain,
( sum(pred(sum(n1,succ(n11))),sum(n11,pred(sum(n1,n11)))) = sK0
| ~ spl3_10
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2915,f513]) ).
fof(f2961,plain,
( ~ spl3_10
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f2960]) ).
fof(f2960,plain,
( $false
| ~ spl3_10
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f2959,f383]) ).
fof(f2959,plain,
( n12 = sK0
| ~ spl3_10
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2958,f71]) ).
fof(f71,plain,
n12 = sum(n10,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f2958,plain,
( sum(n10,n2) = sK0
| ~ spl3_10
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2957,f115]) ).
fof(f2957,plain,
( sum(pred(n11),n2) = sK0
| ~ spl3_10
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2956,f292]) ).
fof(f292,plain,
n11 = sum(n1,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f2956,plain,
( sum(pred(sum(n1,n10)),n2) = sK0
| ~ spl3_10
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2955,f338]) ).
fof(f2955,plain,
( sum(pred(sum(n1,succ(n9))),n2) = sK0
| ~ spl3_10
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2954,f217]) ).
fof(f2954,plain,
( sum(pred(sum(n1,succ(n9))),sum(n9,n9)) = sK0
| ~ spl3_10
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2953,f365]) ).
fof(f2953,plain,
( sum(pred(sum(n1,succ(n9))),sum(n9,pred(n10))) = sK0
| ~ spl3_10
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2952,f359]) ).
fof(f359,plain,
n10 = sum(n1,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f2952,plain,
( sum(pred(sum(n1,succ(n9))),sum(n9,pred(sum(n1,n9)))) = sK0
| ~ spl3_10
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2915,f545]) ).
fof(f2945,plain,
( ~ spl3_10
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f2944]) ).
fof(f2944,plain,
( $false
| ~ spl3_10
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f2943,f366]) ).
fof(f2943,plain,
( n13 = sK0
| ~ spl3_10
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2942,f129]) ).
fof(f2942,plain,
( sum(n5,n8) = sK0
| ~ spl3_10
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2941,f195]) ).
fof(f2941,plain,
( sum(pred(n6),n8) = sK0
| ~ spl3_10
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2940,f410]) ).
fof(f2940,plain,
( sum(pred(sum(n1,n5)),n8) = sK0
| ~ spl3_10
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2939,f74]) ).
fof(f2939,plain,
( sum(pred(sum(n1,succ(n4))),n8) = sK0
| ~ spl3_10
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2938,f24]) ).
fof(f2938,plain,
( sum(pred(sum(n1,succ(n4))),sum(n4,n4)) = sK0
| ~ spl3_10
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2937,f124]) ).
fof(f2937,plain,
( sum(pred(sum(n1,succ(n4))),sum(n4,pred(n5))) = sK0
| ~ spl3_10
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2936,f327]) ).
fof(f2936,plain,
( sum(pred(sum(n1,succ(n4))),sum(n4,pred(sum(n1,n4)))) = sK0
| ~ spl3_10
| ~ spl3_24 ),
inference(backward_demodulation,[],[f2915,f529]) ).
fof(f2925,plain,
( ~ spl3_10
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f2924]) ).
fof(f2924,plain,
( $false
| ~ spl3_10
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f2923,f220]) ).
fof(f2923,plain,
( n14 = sK0
| ~ spl3_10
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2922,f130]) ).
fof(f2922,plain,
( sum(n0,n14) = sK0
| ~ spl3_10
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2921,f406]) ).
fof(f2921,plain,
( sum(pred(n1),n14) = sK0
| ~ spl3_10
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2920,f391]) ).
fof(f2920,plain,
( sK0 = sum(pred(sum(n1,n0)),n14)
| ~ spl3_10
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2919,f208]) ).
fof(f2919,plain,
( sum(pred(sum(n1,succ(n15))),n14) = sK0
| ~ spl3_10
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2918,f248]) ).
fof(f2918,plain,
( sum(pred(sum(n1,succ(n15))),sum(n15,n15)) = sK0
| ~ spl3_10
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2917,f94]) ).
fof(f2917,plain,
( sum(pred(sum(n1,succ(n15))),sum(n15,pred(n0))) = sK0
| ~ spl3_10
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2916,f272]) ).
fof(f2916,plain,
( sum(pred(sum(n1,succ(n15))),sum(n15,pred(sum(n1,n15)))) = sK0
| ~ spl3_10
| ~ spl3_29 ),
inference(backward_demodulation,[],[f2915,f549]) ).
fof(f2911,plain,
( ~ spl3_10
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f2910]) ).
fof(f2910,plain,
( $false
| ~ spl3_10
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f2909,f13]) ).
fof(f2909,plain,
( n9 = sK0
| ~ spl3_10
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2908,f48]) ).
fof(f2908,plain,
( sum(n9,n0) = sK0
| ~ spl3_10
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2907,f365]) ).
fof(f2907,plain,
( sum(pred(n10),n0) = sK0
| ~ spl3_10
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2906,f359]) ).
fof(f2906,plain,
( sum(pred(sum(n1,n9)),n0) = sK0
| ~ spl3_10
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2905,f61]) ).
fof(f2905,plain,
( sum(pred(sum(n1,succ(n8))),n0) = sK0
| ~ spl3_10
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2904,f207]) ).
fof(f207,plain,
n0 = sum(n8,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f2904,plain,
( sum(pred(sum(n1,succ(n8))),sum(n8,n8)) = sK0
| ~ spl3_10
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2903,f388]) ).
fof(f2903,plain,
( sum(pred(sum(n1,succ(n8))),sum(n8,pred(n9))) = sK0
| ~ spl3_10
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2902,f416]) ).
fof(f2902,plain,
( sum(pred(sum(n1,succ(n8))),sum(n8,pred(sum(n1,n8)))) = sK0
| ~ spl3_10
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2901,f472]) ).
fof(f2901,plain,
( sum(pred(sum(sK2,succ(n8))),sum(n8,pred(sum(sK2,n8)))) = sK0
| ~ spl3_23 ),
inference(forward_demodulation,[],[f231,f525]) ).
fof(f2893,plain,
( ~ spl3_10
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f2892]) ).
fof(f2892,plain,
( $false
| ~ spl3_10
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f2891,f213]) ).
fof(f2891,plain,
( n3 = sK0
| ~ spl3_10
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2890,f126]) ).
fof(f2890,plain,
( sum(n7,n12) = sK0
| ~ spl3_10
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2889,f228]) ).
fof(f2889,plain,
( sum(pred(n8),n12) = sK0
| ~ spl3_10
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2888,f269]) ).
fof(f2888,plain,
( sum(pred(sum(n1,n7)),n12) = sK0
| ~ spl3_10
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2887,f76]) ).
fof(f2887,plain,
( sK0 = sum(pred(sum(n1,succ(n6))),n12)
| ~ spl3_10
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2886,f199]) ).
fof(f2886,plain,
( sum(pred(sum(n1,succ(n6))),sum(n6,n6)) = sK0
| ~ spl3_10
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2885,f80]) ).
fof(f2885,plain,
( sum(pred(sum(n1,succ(n6))),sum(n6,pred(n7))) = sK0
| ~ spl3_10
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2884,f393]) ).
fof(f393,plain,
n7 = sum(n1,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f2884,plain,
( sum(pred(sum(n1,succ(n6))),sum(n6,pred(sum(n1,n6)))) = sK0
| ~ spl3_10
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2883,f472]) ).
fof(f2883,plain,
( sK0 = sum(pred(sum(sK2,succ(n6))),sum(n6,pred(sum(sK2,n6))))
| ~ spl3_26 ),
inference(forward_demodulation,[],[f231,f537]) ).
fof(f2876,plain,
( ~ spl3_10
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f2875]) ).
fof(f2875,plain,
( $false
| ~ spl3_10
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f2874,f117]) ).
fof(f2874,plain,
( n10 = sK0
| ~ spl3_10
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2873,f118]) ).
fof(f2873,plain,
( sum(n4,n6) = sK0
| ~ spl3_10
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2872,f124]) ).
fof(f2872,plain,
( sum(pred(n5),n6) = sK0
| ~ spl3_10
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2871,f327]) ).
fof(f2871,plain,
( sum(pred(sum(n1,n4)),n6) = sK0
| ~ spl3_10
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2870,f225]) ).
fof(f2870,plain,
( sum(pred(sum(n1,succ(n3))),n6) = sK0
| ~ spl3_10
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2869,f276]) ).
fof(f276,plain,
n6 = sum(n3,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f2869,plain,
( sum(pred(sum(n1,succ(n3))),sum(n3,n3)) = sK0
| ~ spl3_10
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2868,f138]) ).
fof(f2868,plain,
( sum(pred(sum(n1,succ(n3))),sum(n3,pred(n4))) = sK0
| ~ spl3_10
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2867,f52]) ).
fof(f2867,plain,
( sum(pred(sum(n1,succ(n3))),sum(n3,pred(sum(n1,n3)))) = sK0
| ~ spl3_10
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2866,f472]) ).
fof(f2866,plain,
( sum(pred(sum(sK2,succ(n3))),sum(n3,pred(sum(sK2,n3)))) = sK0
| ~ spl3_30 ),
inference(forward_demodulation,[],[f231,f553]) ).
fof(f2856,plain,
( ~ spl3_10
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f2855]) ).
fof(f2855,plain,
( $false
| ~ spl3_10
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f2854,f331]) ).
fof(f2854,plain,
( n0 = sK0
| ~ spl3_10
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2853,f295]) ).
fof(f2853,plain,
( sum(n6,n10) = sK0
| ~ spl3_10
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2852,f80]) ).
fof(f2852,plain,
( sum(pred(n7),n10) = sK0
| ~ spl3_10
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2851,f393]) ).
fof(f2851,plain,
( sum(pred(sum(n1,n6)),n10) = sK0
| ~ spl3_10
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2850,f185]) ).
fof(f2850,plain,
( sum(pred(sum(n1,n6)),sum(n5,n5)) = sK0
| ~ spl3_10
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2849,f195]) ).
fof(f2849,plain,
( sum(pred(sum(n1,n6)),sum(n5,pred(n6))) = sK0
| ~ spl3_10
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2848,f410]) ).
fof(f2848,plain,
( sum(pred(sum(n1,n6)),sum(n5,pred(sum(n1,n5)))) = sK0
| ~ spl3_10
| ~ spl3_25 ),
inference(backward_demodulation,[],[f2834,f472]) ).
fof(f2834,plain,
( sum(pred(sum(sK2,n6)),sum(n5,pred(sum(sK2,n5)))) = sK0
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2833,f161]) ).
fof(f2833,plain,
( sum(pred(sum(sK2,succ(n5))),sum(n5,pred(sum(sK2,n5)))) = sK0
| ~ spl3_25 ),
inference(forward_demodulation,[],[f231,f533]) ).
fof(f2823,plain,
( ~ spl3_3
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f2822]) ).
fof(f2822,plain,
( $false
| ~ spl3_3
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f2821,f322]) ).
fof(f2821,plain,
( n2 = sK0
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2820,f111]) ).
fof(f2820,plain,
( sum(n11,n7) = sK0
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2819,f99]) ).
fof(f2819,plain,
( sK0 = sum(pred(n12),n7)
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2818,f178]) ).
fof(f2818,plain,
( sum(pred(sum(n14,n14)),n7) = sK0
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2817,f414]) ).
fof(f2817,plain,
( sum(pred(sum(n14,n14)),sum(n13,n10)) = sK0
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2816,f115]) ).
fof(f2816,plain,
( sum(pred(sum(n14,n14)),sum(n13,pred(n11))) = sK0
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2815,f431]) ).
fof(f2815,plain,
( sum(pred(sum(n14,n14)),sum(n13,pred(sum(n14,n13)))) = sK0
| ~ spl3_3
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2667,f444]) ).
fof(f2667,plain,
( sum(pred(sum(sK2,n14)),sum(n13,pred(sum(sK2,n13)))) = sK0
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2656,f335]) ).
fof(f335,plain,
succ(n13) = n14,
inference(cnf_transformation,[],[f5]) ).
fof(f2656,plain,
( sum(pred(sum(sK2,succ(n13))),sum(n13,pred(sum(sK2,n13)))) = sK0
| ~ spl3_22 ),
inference(forward_demodulation,[],[f231,f521]) ).
fof(f521,plain,
( n13 = sK1
| ~ spl3_22 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f519,plain,
( spl3_22
<=> n13 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f2813,plain,
( ~ spl3_1
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f2812]) ).
fof(f2812,plain,
( $false
| ~ spl3_1
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f2811,f220]) ).
fof(f2811,plain,
( n14 = sK0
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2810,f30]) ).
fof(f30,plain,
n14 = sum(n1,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f2810,plain,
( sum(n1,n13) = sK0
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2809,f155]) ).
fof(f2809,plain,
( sum(pred(n2),n13) = sK0
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2808,f105]) ).
fof(f2808,plain,
( sum(pred(sum(n4,n14)),n13) = sK0
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2807,f203]) ).
fof(f2807,plain,
( sum(pred(sum(n4,n14)),sum(n13,n0)) = sK0
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2806,f406]) ).
fof(f2806,plain,
( sK0 = sum(pred(sum(n4,n14)),sum(n13,pred(n1)))
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2805,f284]) ).
fof(f2805,plain,
( sum(pred(sum(n4,n14)),sum(n13,pred(sum(n4,n13)))) = sK0
| ~ spl3_1
| ~ spl3_22 ),
inference(backward_demodulation,[],[f2667,f436]) ).
fof(f2790,plain,
( ~ spl3_7
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f2789]) ).
fof(f2789,plain,
( $false
| ~ spl3_7
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f2788,f220]) ).
fof(f2788,plain,
( n14 = sK0
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2787,f60]) ).
fof(f2787,plain,
( sum(n9,n5) = sK0
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2786,f365]) ).
fof(f2786,plain,
( sum(pred(n10),n5) = sK0
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2785,f19]) ).
fof(f2785,plain,
( sum(pred(sum(n12,n14)),n5) = sK0
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2784,f262]) ).
fof(f2784,plain,
( sum(pred(sum(n12,n14)),sum(n13,n8)) = sK0
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2783,f388]) ).
fof(f2783,plain,
( sum(pred(sum(n12,n14)),sum(n13,pred(n9))) = sK0
| ~ spl3_7
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2782,f12]) ).
fof(f12,plain,
n9 = sum(n12,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f2782,plain,
( sum(pred(sum(n12,n14)),sum(n13,pred(sum(n12,n13)))) = sK0
| ~ spl3_7
| ~ spl3_22 ),
inference(backward_demodulation,[],[f2667,f460]) ).
fof(f2779,plain,
( ~ spl3_4
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f2778]) ).
fof(f2778,plain,
( $false
| ~ spl3_4
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f2777,f117]) ).
fof(f2777,plain,
( n10 = sK0
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2776,f392]) ).
fof(f2776,plain,
( sum(n7,n3) = sK0
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2775,f228]) ).
fof(f2775,plain,
( sum(pred(n8),n3) = sK0
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2774,f174]) ).
fof(f2774,plain,
( sum(pred(sum(n10,n14)),n3) = sK0
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2773,f160]) ).
fof(f2773,plain,
( sum(pred(sum(n10,n14)),sum(n13,n6)) = sK0
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2772,f80]) ).
fof(f2772,plain,
( sum(pred(sum(n10,n14)),sum(n13,pred(n7))) = sK0
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2771,f145]) ).
fof(f2771,plain,
( sum(pred(sum(n10,n14)),sum(n13,pred(sum(n10,n13)))) = sK0
| ~ spl3_4
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2667,f448]) ).
fof(f2767,plain,
( ~ spl3_13
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f2766]) ).
fof(f2766,plain,
( $false
| ~ spl3_13
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f2765,f331]) ).
fof(f2765,plain,
( n0 = sK0
| ~ spl3_13
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2764,f218]) ).
fof(f2764,plain,
( sum(n10,n6) = sK0
| ~ spl3_13
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2763,f115]) ).
fof(f2763,plain,
( sum(pred(n11),n6) = sK0
| ~ spl3_13
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2762,f362]) ).
fof(f2762,plain,
( sum(pred(sum(n13,n14)),n6) = sK0
| ~ spl3_13
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2761,f330]) ).
fof(f2761,plain,
( sum(pred(sum(n13,n14)),sum(n13,n9)) = sK0
| ~ spl3_13
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2760,f365]) ).
fof(f2760,plain,
( sum(pred(sum(n13,n14)),sum(n13,pred(n10))) = sK0
| ~ spl3_13
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2759,f127]) ).
fof(f127,plain,
n10 = sum(n13,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f2759,plain,
( sum(pred(sum(n13,n14)),sum(n13,pred(sum(n13,n13)))) = sK0
| ~ spl3_13
| ~ spl3_22 ),
inference(backward_demodulation,[],[f2667,f484]) ).
fof(f2755,plain,
( ~ spl3_11
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f2754]) ).
fof(f2754,plain,
( $false
| ~ spl3_11
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f2753,f306]) ).
fof(f2753,plain,
( n8 = sK0
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2752,f282]) ).
fof(f2752,plain,
( sum(n6,n2) = sK0
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2751,f80]) ).
fof(f2751,plain,
( sum(pred(n7),n2) = sK0
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2750,f54]) ).
fof(f2750,plain,
( sum(pred(sum(n9,n14)),n2) = sK0
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2749,f386]) ).
fof(f2749,plain,
( sum(pred(sum(n9,n14)),sum(n13,n5)) = sK0
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2748,f195]) ).
fof(f2748,plain,
( sum(pred(sum(n9,n14)),sum(n13,pred(n6))) = sK0
| ~ spl3_11
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2747,f58]) ).
fof(f2747,plain,
( sum(pred(sum(n9,n14)),sum(n13,pred(sum(n9,n13)))) = sK0
| ~ spl3_11
| ~ spl3_22 ),
inference(backward_demodulation,[],[f2667,f476]) ).
fof(f2740,plain,
( ~ spl3_10
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f2739]) ).
fof(f2739,plain,
( $false
| ~ spl3_10
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f2738,f306]) ).
fof(f2738,plain,
( n8 = sK0
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2737,f204]) ).
fof(f2737,plain,
( sum(n14,n10) = sK0
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2736,f325]) ).
fof(f2736,plain,
( sum(pred(n15),n10) = sK0
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2735,f323]) ).
fof(f2735,plain,
( sK0 = sum(pred(sum(n1,n14)),n10)
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2734,f127]) ).
fof(f2734,plain,
( sum(pred(sum(n1,n14)),sum(n13,n13)) = sK0
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2733,f250]) ).
fof(f2733,plain,
( sum(pred(sum(n1,n14)),sum(n13,pred(n14))) = sK0
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2732,f30]) ).
fof(f2732,plain,
( sum(pred(sum(n1,n14)),sum(n13,pred(sum(n1,n13)))) = sK0
| ~ spl3_10
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2667,f472]) ).
fof(f2718,plain,
( ~ spl3_6
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f2717]) ).
fof(f2717,plain,
( $false
| ~ spl3_6
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f2716,f381]) ).
fof(f2716,plain,
( n4 = sK0
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2715,f64]) ).
fof(f2715,plain,
( sum(n12,n8) = sK0
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2714,f95]) ).
fof(f2714,plain,
( sum(pred(n13),n8) = sK0
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2713,f253]) ).
fof(f2713,plain,
( sum(pred(sum(n15,n14)),n8) = sK0
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2712,f128]) ).
fof(f2712,plain,
( sum(pred(sum(n15,n14)),sum(n13,n11)) = sK0
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2711,f99]) ).
fof(f2711,plain,
( sum(pred(sum(n15,n14)),sum(n13,pred(n12))) = sK0
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2710,f315]) ).
fof(f2710,plain,
( sum(pred(sum(n15,n14)),sum(n13,pred(sum(n15,n13)))) = sK0
| ~ spl3_6
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2667,f456]) ).
fof(f2705,plain,
( ~ spl3_12
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f2704]) ).
fof(f2704,plain,
( $false
| ~ spl3_12
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f2703,f322]) ).
fof(f2703,plain,
( n2 = sK0
| ~ spl3_12
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2702,f254]) ).
fof(f2702,plain,
( sum(n3,n15) = sK0
| ~ spl3_12
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2701,f138]) ).
fof(f2701,plain,
( sum(pred(n4),n15) = sK0
| ~ spl3_12
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2700,f63]) ).
fof(f2700,plain,
( sum(pred(sum(n6,n14)),n15) = sK0
| ~ spl3_12
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2699,f28]) ).
fof(f28,plain,
n15 = sum(n13,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f2699,plain,
( sum(pred(sum(n6,n14)),sum(n13,n2)) = sK0
| ~ spl3_12
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2698,f147]) ).
fof(f2698,plain,
( sum(pred(sum(n6,n14)),sum(n13,pred(n3))) = sK0
| ~ spl3_12
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2697,f15]) ).
fof(f2697,plain,
( sK0 = sum(pred(sum(n6,n14)),sum(n13,pred(sum(n6,n13))))
| ~ spl3_12
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2667,f480]) ).
fof(f2685,plain,
( ~ spl3_14
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f2684]) ).
fof(f2684,plain,
( $false
| ~ spl3_14
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f2683,f234]) ).
fof(f2683,plain,
( n6 = sK0
| ~ spl3_14
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2682,f330]) ).
fof(f2682,plain,
( sum(n13,n9) = sK0
| ~ spl3_14
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2681,f250]) ).
fof(f2681,plain,
( sum(pred(n14),n9) = sK0
| ~ spl3_14
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2680,f130]) ).
fof(f2680,plain,
( sum(pred(sum(n0,n14)),n9) = sK0
| ~ spl3_14
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2679,f133]) ).
fof(f2679,plain,
( sum(pred(sum(n0,n14)),sum(n13,n12)) = sK0
| ~ spl3_14
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2678,f95]) ).
fof(f2678,plain,
( sum(pred(sum(n0,n14)),sum(n13,pred(n13))) = sK0
| ~ spl3_14
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2677,f409]) ).
fof(f2677,plain,
( sum(pred(sum(n0,n14)),sum(n13,pred(sum(n0,n13)))) = sK0
| ~ spl3_14
| ~ spl3_22 ),
inference(backward_demodulation,[],[f2667,f488]) ).
fof(f2666,plain,
( ~ spl3_5
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f2665]) ).
fof(f2665,plain,
( $false
| ~ spl3_5
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f2664,f331]) ).
fof(f2664,plain,
( n0 = sK0
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2663,f256]) ).
fof(f256,plain,
n0 = sum(n2,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f2663,plain,
( sum(n2,n14) = sK0
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2662,f147]) ).
fof(f2662,plain,
( sum(pred(n3),n14) = sK0
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2661,f53]) ).
fof(f2661,plain,
( sum(pred(sum(n5,n14)),n14) = sK0
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2660,f335]) ).
fof(f2660,plain,
( sum(pred(sum(n5,succ(n13))),n14) = sK0
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2659,f172]) ).
fof(f2659,plain,
( sum(pred(sum(n5,succ(n13))),sum(n13,n1)) = sK0
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2658,f155]) ).
fof(f2658,plain,
( sum(pred(sum(n5,succ(n13))),sum(n13,pred(n2))) = sK0
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2657,f364]) ).
fof(f2657,plain,
( sum(pred(sum(n5,succ(n13))),sum(n13,pred(sum(n5,n13)))) = sK0
| ~ spl3_5
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2656,f452]) ).
fof(f2640,plain,
( ~ spl3_9
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f2639]) ).
fof(f2639,plain,
( $false
| ~ spl3_9
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f2638,f331]) ).
fof(f2638,plain,
( n0 = sK0
| ~ spl3_9
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2637,f156]) ).
fof(f2637,plain,
( sum(n12,n4) = sK0
| ~ spl3_9
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2636,f95]) ).
fof(f2636,plain,
( sum(pred(n13),n4) = sK0
| ~ spl3_9
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2635,f11]) ).
fof(f11,plain,
n13 = sum(n3,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f2635,plain,
( sum(pred(sum(n3,n10)),n4) = sK0
| ~ spl3_9
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2634,f338]) ).
fof(f2634,plain,
( sum(pred(sum(n3,succ(n9))),n4) = sK0
| ~ spl3_9
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2633,f374]) ).
fof(f2633,plain,
( sum(pred(sum(n3,succ(n9))),sum(n9,n11)) = sK0
| ~ spl3_9
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2632,f99]) ).
fof(f2632,plain,
( sum(pred(sum(n3,succ(n9))),sum(n9,pred(n12))) = sK0
| ~ spl3_9
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2631,f168]) ).
fof(f2631,plain,
( sum(pred(sum(n3,succ(n9))),sum(n9,pred(sum(n3,n9)))) = sK0
| ~ spl3_9
| ~ spl3_28 ),
inference(backward_demodulation,[],[f2479,f545]) ).
fof(f2479,plain,
( sum(pred(sum(n3,succ(sK1))),sum(sK1,pred(sum(n3,sK1)))) = sK0
| ~ spl3_9 ),
inference(forward_demodulation,[],[f231,f468]) ).
fof(f468,plain,
( n3 = sK2
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f466,plain,
( spl3_9
<=> n3 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f2626,plain,
( ~ spl3_9
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f2625]) ).
fof(f2625,plain,
( $false
| ~ spl3_9
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f2624,f383]) ).
fof(f2624,plain,
( n12 = sK0
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2623,f38]) ).
fof(f2623,plain,
( sum(n0,n12) = sK0
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2622,f406]) ).
fof(f2622,plain,
( sK0 = sum(pred(n1),n12)
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2621,f341]) ).
fof(f2621,plain,
( sum(pred(sum(n3,n14)),n12) = sK0
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2620,f335]) ).
fof(f2620,plain,
( sum(pred(sum(n3,succ(n13))),n12) = sK0
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2619,f42]) ).
fof(f2619,plain,
( sum(pred(sum(n3,succ(n13))),sum(n13,n15)) = sK0
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2618,f94]) ).
fof(f2618,plain,
( sum(pred(sum(n3,succ(n13))),sum(n13,pred(n0))) = sK0
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2617,f50]) ).
fof(f50,plain,
n0 = sum(n3,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f2617,plain,
( sK0 = sum(pred(sum(n3,succ(n13))),sum(n13,pred(sum(n3,n13))))
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2479,f521]) ).
fof(f2612,plain,
( ~ spl3_9
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f2611]) ).
fof(f2611,plain,
( $false
| ~ spl3_9
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f2610,f366]) ).
fof(f2610,plain,
( n13 = sK0
| ~ spl3_9
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2609,f139]) ).
fof(f139,plain,
n13 = sum(n11,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f2609,plain,
( sum(n11,n2) = sK0
| ~ spl3_9
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2608,f99]) ).
fof(f2608,plain,
( sum(pred(n12),n2) = sK0
| ~ spl3_9
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2607,f168]) ).
fof(f2607,plain,
( sum(pred(sum(n3,n9)),n2) = sK0
| ~ spl3_9
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2606,f61]) ).
fof(f2606,plain,
( sK0 = sum(pred(sum(n3,succ(n8))),n2)
| ~ spl3_9
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2605,f334]) ).
fof(f2605,plain,
( sum(pred(sum(n3,succ(n8))),sum(n8,n10)) = sK0
| ~ spl3_9
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2604,f115]) ).
fof(f2604,plain,
( sum(pred(sum(n3,succ(n8))),sum(n8,pred(n11))) = sK0
| ~ spl3_9
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2603,f173]) ).
fof(f2603,plain,
( sum(pred(sum(n3,succ(n8))),sum(n8,pred(sum(n3,n8)))) = sK0
| ~ spl3_9
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2479,f525]) ).
fof(f2598,plain,
( ~ spl3_9
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f2597]) ).
fof(f2597,plain,
( $false
| ~ spl3_9
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f2596,f319]) ).
fof(f2596,plain,
( n5 = sK0
| ~ spl3_9
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2595,f14]) ).
fof(f2595,plain,
( sum(n3,n2) = sK0
| ~ spl3_9
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2594,f138]) ).
fof(f2594,plain,
( sum(pred(n4),n2) = sK0
| ~ spl3_9
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2593,f72]) ).
fof(f2593,plain,
( sum(pred(sum(n3,n1)),n2) = sK0
| ~ spl3_9
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2592,f329]) ).
fof(f2592,plain,
( sum(pred(sum(n3,succ(n0))),n2) = sK0
| ~ spl3_9
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2591,f430]) ).
fof(f2591,plain,
( sum(pred(sum(n3,succ(n0))),sum(n0,n2)) = sK0
| ~ spl3_9
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2590,f147]) ).
fof(f2590,plain,
( sum(pred(sum(n3,succ(n0))),sum(n0,pred(n3))) = sK0
| ~ spl3_9
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2589,f106]) ).
fof(f2589,plain,
( sum(pred(sum(n3,succ(n0))),sum(n0,pred(sum(n3,n0)))) = sK0
| ~ spl3_9
| ~ spl3_32 ),
inference(backward_demodulation,[],[f2479,f561]) ).
fof(f2571,plain,
( ~ spl3_9
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f2570]) ).
fof(f2570,plain,
( $false
| ~ spl3_9
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f2569,f117]) ).
fof(f2569,plain,
( n10 = sK0
| ~ spl3_9
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2568,f266]) ).
fof(f2568,plain,
( sum(n10,n0) = sK0
| ~ spl3_9
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2567,f115]) ).
fof(f2567,plain,
( sum(pred(n11),n0) = sK0
| ~ spl3_9
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2566,f173]) ).
fof(f2566,plain,
( sum(pred(sum(n3,n8)),n0) = sK0
| ~ spl3_9
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2565,f73]) ).
fof(f2565,plain,
( sum(pred(sum(n3,succ(n7))),n0) = sK0
| ~ spl3_9
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2564,f342]) ).
fof(f2564,plain,
( sum(pred(sum(n3,succ(n7))),sum(n7,n9)) = sK0
| ~ spl3_9
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2563,f365]) ).
fof(f2563,plain,
( sum(pred(sum(n3,succ(n7))),sum(n7,pred(n10))) = sK0
| ~ spl3_9
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2562,f79]) ).
fof(f2562,plain,
( sum(pred(sum(n3,succ(n7))),sum(n7,pred(sum(n3,n7)))) = sK0
| ~ spl3_9
| ~ spl3_27 ),
inference(backward_demodulation,[],[f2479,f541]) ).
fof(f2554,plain,
( ~ spl3_9
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f2553]) ).
fof(f2553,plain,
( $false
| ~ spl3_9
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f2552,f67]) ).
fof(f2552,plain,
( n1 = sK0
| ~ spl3_9
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2551,f93]) ).
fof(f2551,plain,
( sum(n7,n10) = sK0
| ~ spl3_9
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2550,f228]) ).
fof(f2550,plain,
( sum(pred(n8),n10) = sK0
| ~ spl3_9
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2549,f206]) ).
fof(f2549,plain,
( sum(pred(sum(n3,n5)),n10) = sK0
| ~ spl3_9
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2548,f74]) ).
fof(f2548,plain,
( sum(pred(sum(n3,succ(n4))),n10) = sK0
| ~ spl3_9
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2547,f118]) ).
fof(f2547,plain,
( sum(pred(sum(n3,succ(n4))),sum(n4,n6)) = sK0
| ~ spl3_9
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2546,f80]) ).
fof(f2546,plain,
( sum(pred(sum(n3,succ(n4))),sum(n4,pred(n7))) = sK0
| ~ spl3_9
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2545,f112]) ).
fof(f112,plain,
n7 = sum(n3,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f2545,plain,
( sum(pred(sum(n3,succ(n4))),sum(n4,pred(sum(n3,n4)))) = sK0
| ~ spl3_9
| ~ spl3_24 ),
inference(backward_demodulation,[],[f2479,f529]) ).
fof(f2535,plain,
( ~ spl3_9
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f2534]) ).
fof(f2534,plain,
( $false
| ~ spl3_9
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f2533,f322]) ).
fof(f2533,plain,
( n2 = sK0
| ~ spl3_9
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2532,f229]) ).
fof(f229,plain,
n2 = sum(n2,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f2532,plain,
( sum(n2,n0) = sK0
| ~ spl3_9
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2531,f147]) ).
fof(f2531,plain,
( sum(pred(n3),n0) = sK0
| ~ spl3_9
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2530,f106]) ).
fof(f2530,plain,
( sum(pred(sum(n3,n0)),n0) = sK0
| ~ spl3_9
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2529,f208]) ).
fof(f2529,plain,
( sum(pred(sum(n3,succ(n15))),n0) = sK0
| ~ spl3_9
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2528,f78]) ).
fof(f2528,plain,
( sum(pred(sum(n3,succ(n15))),sum(n15,n1)) = sK0
| ~ spl3_9
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2527,f155]) ).
fof(f2527,plain,
( sum(pred(sum(n3,succ(n15))),sum(n15,pred(n2))) = sK0
| ~ spl3_9
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2526,f254]) ).
fof(f2526,plain,
( sum(pred(sum(n3,succ(n15))),sum(n15,pred(sum(n3,n15)))) = sK0
| ~ spl3_9
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2479,f549]) ).
fof(f2525,plain,
( ~ spl3_9
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f2524]) ).
fof(f2524,plain,
( $false
| ~ spl3_9
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f2523,f220]) ).
fof(f2523,plain,
( n14 = sK0
| ~ spl3_9
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2522,f91]) ).
fof(f2522,plain,
( sum(n6,n8) = sK0
| ~ spl3_9
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2521,f80]) ).
fof(f2521,plain,
( sum(pred(n7),n8) = sK0
| ~ spl3_9
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2520,f112]) ).
fof(f2520,plain,
( sum(pred(sum(n3,n4)),n8) = sK0
| ~ spl3_9
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2519,f225]) ).
fof(f2519,plain,
( sum(pred(sum(n3,succ(n3))),n8) = sK0
| ~ spl3_9
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2518,f206]) ).
fof(f2518,plain,
( sK0 = sum(pred(sum(n3,succ(n3))),sum(n3,n5))
| ~ spl3_9
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2517,f195]) ).
fof(f2517,plain,
( sum(pred(sum(n3,succ(n3))),sum(n3,pred(n6))) = sK0
| ~ spl3_9
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2516,f276]) ).
fof(f2516,plain,
( sum(pred(sum(n3,succ(n3))),sum(n3,pred(sum(n3,n3)))) = sK0
| ~ spl3_9
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2479,f553]) ).
fof(f2503,plain,
( ~ spl3_9
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f2502]) ).
fof(f2502,plain,
( $false
| ~ spl3_9
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f2501,f234]) ).
fof(f2501,plain,
( n6 = sK0
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2500,f114]) ).
fof(f2500,plain,
( sum(n14,n8) = sK0
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2499,f325]) ).
fof(f2499,plain,
( sum(pred(n15),n8) = sK0
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2498,f422]) ).
fof(f2498,plain,
( sum(pred(sum(n3,n12)),n8) = sK0
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2497,f183]) ).
fof(f2497,plain,
( sum(pred(sum(n3,succ(n11))),n8) = sK0
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2496,f87]) ).
fof(f87,plain,
n8 = sum(n11,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f2496,plain,
( sum(pred(sum(n3,succ(n11))),sum(n11,n13)) = sK0
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2495,f250]) ).
fof(f2495,plain,
( sum(pred(sum(n3,succ(n11))),sum(n11,pred(n14))) = sK0
| ~ spl3_9
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2494,f193]) ).
fof(f2494,plain,
( sum(pred(sum(n3,succ(n11))),sum(n11,pred(sum(n3,n11)))) = sK0
| ~ spl3_9
| ~ spl3_20 ),
inference(backward_demodulation,[],[f2479,f513]) ).
fof(f2489,plain,
( ~ spl3_9
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f2488]) ).
fof(f2488,plain,
( $false
| ~ spl3_9
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f2487,f251]) ).
fof(f2487,plain,
( n15 = sK0
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2486,f323]) ).
fof(f2486,plain,
( sum(n1,n14) = sK0
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2485,f155]) ).
fof(f2485,plain,
( sum(pred(n2),n14) = sK0
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2484,f254]) ).
fof(f2484,plain,
( sum(pred(sum(n3,n15)),n14) = sK0
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2483,f357]) ).
fof(f2483,plain,
( sum(pred(sum(n3,succ(n14))),n14) = sK0
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2482,f297]) ).
fof(f2482,plain,
( sum(pred(sum(n3,succ(n14))),sum(n14,n0)) = sK0
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2481,f406]) ).
fof(f2481,plain,
( sum(pred(sum(n3,succ(n14))),sum(n14,pred(n1))) = sK0
| ~ spl3_9
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2480,f341]) ).
fof(f2480,plain,
( sum(pred(sum(n3,succ(n14))),sum(n14,pred(sum(n3,n14)))) = sK0
| ~ spl3_9
| ~ spl3_18 ),
inference(backward_demodulation,[],[f2479,f505]) ).
fof(f2477,plain,
( ~ spl3_9
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f2476]) ).
fof(f2476,plain,
( $false
| ~ spl3_9
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f2475,f110]) ).
fof(f2475,plain,
( n7 = sK0
| ~ spl3_9
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2474,f54]) ).
fof(f2474,plain,
( sum(n9,n14) = sK0
| ~ spl3_9
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2473,f365]) ).
fof(f2473,plain,
( sK0 = sum(pred(n10),n14)
| ~ spl3_9
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2472,f79]) ).
fof(f2472,plain,
( sum(pred(sum(n3,n7)),n14) = sK0
| ~ spl3_9
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2471,f76]) ).
fof(f2471,plain,
( sK0 = sum(pred(sum(n3,succ(n6))),n14)
| ~ spl3_9
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2470,f91]) ).
fof(f2470,plain,
( sum(pred(sum(n3,succ(n6))),sum(n6,n8)) = sK0
| ~ spl3_9
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2469,f388]) ).
fof(f2469,plain,
( sum(pred(sum(n3,succ(n6))),sum(n6,pred(n9))) = sK0
| ~ spl3_9
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2468,f237]) ).
fof(f2468,plain,
( sum(pred(sum(n3,succ(n6))),sum(n6,pred(sum(n3,n6)))) = sK0
| ~ spl3_9
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2467,f468]) ).
fof(f2467,plain,
( sK0 = sum(pred(sum(sK2,succ(n6))),sum(n6,pred(sum(sK2,n6))))
| ~ spl3_26 ),
inference(forward_demodulation,[],[f231,f537]) ).
fof(f2459,plain,
( ~ spl3_9
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f2458]) ).
fof(f2458,plain,
( $false
| ~ spl3_9
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f2457,f381]) ).
fof(f2457,plain,
( n4 = sK0
| ~ spl3_9
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2456,f255]) ).
fof(f2456,plain,
( sum(n8,n12) = sK0
| ~ spl3_9
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2455,f388]) ).
fof(f2455,plain,
( sum(pred(n9),n12) = sK0
| ~ spl3_9
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2454,f237]) ).
fof(f2454,plain,
( sum(pred(sum(n3,n6)),n12) = sK0
| ~ spl3_9
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2453,f161]) ).
fof(f2453,plain,
( sum(pred(sum(n3,succ(n5))),n12) = sK0
| ~ spl3_9
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2452,f378]) ).
fof(f2452,plain,
( sum(pred(sum(n3,succ(n5))),sum(n5,n7)) = sK0
| ~ spl3_9
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2451,f228]) ).
fof(f2451,plain,
( sum(pred(sum(n3,succ(n5))),sum(n5,pred(n8))) = sK0
| ~ spl3_9
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2450,f206]) ).
fof(f2450,plain,
( sum(pred(sum(n3,succ(n5))),sum(n5,pred(sum(n3,n5)))) = sK0
| ~ spl3_9
| ~ spl3_25 ),
inference(forward_demodulation,[],[f2449,f468]) ).
fof(f2449,plain,
( sum(pred(sum(sK2,succ(n5))),sum(n5,pred(sum(sK2,n5)))) = sK0
| ~ spl3_25 ),
inference(forward_demodulation,[],[f231,f533]) ).
fof(f2428,plain,
( ~ spl3_5
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f2427]) ).
fof(f2427,plain,
( $false
| ~ spl3_5
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f2426,f383]) ).
fof(f2426,plain,
( n12 = sK0
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2425,f199]) ).
fof(f2425,plain,
( sum(n6,n6) = sK0
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2424,f80]) ).
fof(f2424,plain,
( sum(pred(n7),n6) = sK0
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2423,f411]) ).
fof(f2423,plain,
( sum(pred(sum(n5,n2)),n6) = sK0
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2422,f410]) ).
fof(f2422,plain,
( sum(pred(sum(n5,n2)),sum(n1,n5)) = sK0
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2421,f195]) ).
fof(f2421,plain,
( sum(pred(sum(n5,n2)),sum(n1,pred(n6))) = sK0
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2420,f151]) ).
fof(f2420,plain,
( sum(pred(sum(n5,n2)),sum(n1,pred(sum(n5,n1)))) = sK0
| ~ spl3_5
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2232,f452]) ).
fof(f2232,plain,
( sum(pred(sum(sK2,n2)),sum(n1,pred(sum(sK2,n1)))) = sK0
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2231,f205]) ).
fof(f205,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f5]) ).
fof(f2231,plain,
( sK0 = sum(pred(sum(sK2,succ(n1))),sum(n1,pred(sum(sK2,n1))))
| ~ spl3_21 ),
inference(forward_demodulation,[],[f231,f517]) ).
fof(f517,plain,
( n1 = sK1
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f515,plain,
( spl3_21
<=> n1 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f2409,plain,
( ~ spl3_4
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f2408]) ).
fof(f2408,plain,
( $false
| ~ spl3_4
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f2407,f234]) ).
fof(f2407,plain,
( n6 = sK0
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2406,f291]) ).
fof(f2406,plain,
( sum(n11,n11) = sK0
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2405,f99]) ).
fof(f2405,plain,
( sum(pred(n12),n11) = sK0
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2404,f71]) ).
fof(f2404,plain,
( sum(pred(sum(n10,n2)),n11) = sK0
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2403,f292]) ).
fof(f2403,plain,
( sum(pred(sum(n10,n2)),sum(n1,n10)) = sK0
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2402,f115]) ).
fof(f2402,plain,
( sum(pred(sum(n10,n2)),sum(n1,pred(n11))) = sK0
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2401,f31]) ).
fof(f2401,plain,
( sum(pred(sum(n10,n2)),sum(n1,pred(sum(n10,n1)))) = sK0
| ~ spl3_4
| ~ spl3_21 ),
inference(backward_demodulation,[],[f2232,f448]) ).
fof(f2391,plain,
( ~ spl3_11
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f2390]) ).
fof(f2390,plain,
( $false
| ~ spl3_11
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f2389,f381]) ).
fof(f2389,plain,
( n4 = sK0
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2388,f7]) ).
fof(f2388,plain,
( sum(n10,n10) = sK0
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2387,f115]) ).
fof(f2387,plain,
( sum(pred(n11),n10) = sK0
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2386,f47]) ).
fof(f2386,plain,
( sum(pred(sum(n9,n2)),n10) = sK0
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2385,f359]) ).
fof(f2385,plain,
( sum(pred(sum(n9,n2)),sum(n1,n9)) = sK0
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2384,f365]) ).
fof(f2384,plain,
( sK0 = sum(pred(sum(n9,n2)),sum(n1,pred(n10)))
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2383,f363]) ).
fof(f2383,plain,
( sum(pred(sum(n9,n2)),sum(n1,pred(sum(n9,n1)))) = sK0
| ~ spl3_11
| ~ spl3_21 ),
inference(backward_demodulation,[],[f2232,f476]) ).
fof(f2369,plain,
( ~ spl3_10
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f2368]) ).
fof(f2368,plain,
( $false
| ~ spl3_10
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f2367,f381]) ).
fof(f2367,plain,
( n4 = sK0
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2366,f257]) ).
fof(f257,plain,
n4 = sum(n2,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f2366,plain,
( sum(n2,n2) = sK0
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2365,f147]) ).
fof(f2365,plain,
( sK0 = sum(pred(n3),n2)
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2364,f158]) ).
fof(f158,plain,
n3 = sum(n1,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f2364,plain,
( sum(pred(sum(n1,n2)),n2) = sK0
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2363,f247]) ).
fof(f2363,plain,
( sum(pred(sum(n1,n2)),sum(n1,n1)) = sK0
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2362,f155]) ).
fof(f2362,plain,
( sum(pred(sum(n1,n2)),sum(n1,pred(n2))) = sK0
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2358,f247]) ).
fof(f2358,plain,
( sum(pred(sum(n1,n2)),sum(n1,pred(sum(n1,n1)))) = sK0
| ~ spl3_10
| ~ spl3_21 ),
inference(backward_demodulation,[],[f2232,f472]) ).
fof(f2357,plain,
( ~ spl3_14
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f2356]) ).
fof(f2356,plain,
( $false
| ~ spl3_14
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f2355,f322]) ).
fof(f2355,plain,
( n2 = sK0
| ~ spl3_14
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2354,f247]) ).
fof(f2354,plain,
( sum(n1,n1) = sK0
| ~ spl3_14
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2353,f155]) ).
fof(f2353,plain,
( sum(pred(n2),n1) = sK0
| ~ spl3_14
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2352,f430]) ).
fof(f2352,plain,
( sum(pred(sum(n0,n2)),n1) = sK0
| ~ spl3_14
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2351,f391]) ).
fof(f2351,plain,
( sum(pred(sum(n0,n2)),sum(n1,n0)) = sK0
| ~ spl3_14
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2350,f406]) ).
fof(f2350,plain,
( sum(pred(sum(n0,n2)),sum(n1,pred(n1))) = sK0
| ~ spl3_14
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2349,f312]) ).
fof(f2349,plain,
( sum(pred(sum(n0,n2)),sum(n1,pred(sum(n0,n1)))) = sK0
| ~ spl3_14
| ~ spl3_21 ),
inference(backward_demodulation,[],[f2232,f488]) ).
fof(f2333,plain,
( ~ spl3_3
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f2332]) ).
fof(f2332,plain,
( $false
| ~ spl3_3
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f2331,f220]) ).
fof(f2331,plain,
( n14 = sK0
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2330,f248]) ).
fof(f2330,plain,
( sum(n15,n15) = sK0
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2329,f94]) ).
fof(f2329,plain,
( sum(pred(n0),n15) = sK0
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2328,f55]) ).
fof(f2328,plain,
( sum(pred(sum(n14,n2)),n15) = sK0
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2327,f323]) ).
fof(f2327,plain,
( sum(pred(sum(n14,n2)),sum(n1,n14)) = sK0
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2326,f325]) ).
fof(f2326,plain,
( sum(pred(sum(n14,n2)),sum(n1,pred(n15))) = sK0
| ~ spl3_3
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2325,f65]) ).
fof(f2325,plain,
( sum(pred(sum(n14,n2)),sum(n1,pred(sum(n14,n1)))) = sK0
| ~ spl3_3
| ~ spl3_21 ),
inference(backward_demodulation,[],[f2232,f444]) ).
fof(f2323,plain,
( ~ spl3_7
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f2322]) ).
fof(f2322,plain,
( $false
| ~ spl3_7
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f2321,f117]) ).
fof(f2321,plain,
( n10 = sK0
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2320,f127]) ).
fof(f2320,plain,
( sum(n13,n13) = sK0
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2319,f250]) ).
fof(f2319,plain,
( sum(pred(n14),n13) = sK0
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2318,f116]) ).
fof(f2318,plain,
( sum(pred(sum(n12,n2)),n13) = sK0
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2317,f245]) ).
fof(f2317,plain,
( sK0 = sum(pred(sum(n12,n2)),sum(n1,n12))
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2316,f95]) ).
fof(f2316,plain,
( sum(pred(sum(n12,n2)),sum(n1,pred(n13))) = sK0
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2315,f233]) ).
fof(f2315,plain,
( sum(pred(sum(n12,n2)),sum(n1,pred(sum(n12,n1)))) = sK0
| ~ spl3_7
| ~ spl3_21 ),
inference(backward_demodulation,[],[f2232,f460]) ).
fof(f2308,plain,
( ~ spl3_9
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f2307]) ).
fof(f2307,plain,
( $false
| ~ spl3_9
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f2306,f306]) ).
fof(f2306,plain,
( n8 = sK0
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2305,f24]) ).
fof(f2305,plain,
( sum(n4,n4) = sK0
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2304,f124]) ).
fof(f2304,plain,
( sum(pred(n5),n4) = sK0
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2303,f14]) ).
fof(f2303,plain,
( sum(pred(sum(n3,n2)),n4) = sK0
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2302,f52]) ).
fof(f2302,plain,
( sum(pred(sum(n3,n2)),sum(n1,n3)) = sK0
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2301,f138]) ).
fof(f2301,plain,
( sum(pred(sum(n3,n2)),sum(n1,pred(n4))) = sK0
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2300,f72]) ).
fof(f2300,plain,
( sum(pred(sum(n3,n2)),sum(n1,pred(sum(n3,n1)))) = sK0
| ~ spl3_9
| ~ spl3_21 ),
inference(backward_demodulation,[],[f2232,f468]) ).
fof(f2290,plain,
( ~ spl3_12
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f2289]) ).
fof(f2289,plain,
( $false
| ~ spl3_12
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f2288,f220]) ).
fof(f2288,plain,
( n14 = sK0
| ~ spl3_12
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2287,f188]) ).
fof(f2287,plain,
( sum(n7,n7) = sK0
| ~ spl3_12
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2286,f228]) ).
fof(f2286,plain,
( sum(pred(n8),n7) = sK0
| ~ spl3_12
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2285,f282]) ).
fof(f2285,plain,
( sum(pred(sum(n6,n2)),n7) = sK0
| ~ spl3_12
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2284,f393]) ).
fof(f2284,plain,
( sum(pred(sum(n6,n2)),sum(n1,n6)) = sK0
| ~ spl3_12
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2283,f80]) ).
fof(f2283,plain,
( sum(pred(sum(n6,n2)),sum(n1,pred(n7))) = sK0
| ~ spl3_12
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2282,f252]) ).
fof(f2282,plain,
( sum(pred(sum(n6,n2)),sum(n1,pred(sum(n6,n1)))) = sK0
| ~ spl3_12
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2232,f480]) ).
fof(f2272,plain,
( ~ spl3_6
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f2271]) ).
fof(f2271,plain,
( $false
| ~ spl3_6
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f2270,f331]) ).
fof(f2270,plain,
( n0 = sK0
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2269,f88]) ).
fof(f2269,plain,
( sum(n0,n0) = sK0
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2268,f406]) ).
fof(f2268,plain,
( sum(pred(n1),n0) = sK0
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2267,f305]) ).
fof(f2267,plain,
( sum(pred(sum(n15,n2)),n0) = sK0
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2266,f272]) ).
fof(f2266,plain,
( sum(pred(sum(n15,n2)),sum(n1,n15)) = sK0
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2265,f94]) ).
fof(f2265,plain,
( sum(pred(sum(n15,n2)),sum(n1,pred(n0))) = sK0
| ~ spl3_6
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2264,f78]) ).
fof(f2264,plain,
( sum(pred(sum(n15,n2)),sum(n1,pred(sum(n15,n1)))) = sK0
| ~ spl3_6
| ~ spl3_21 ),
inference(backward_demodulation,[],[f2232,f456]) ).
fof(f2262,plain,
( ~ spl3_13
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f2261]) ).
fof(f2261,plain,
( $false
| ~ spl3_13
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f2260,f383]) ).
fof(f2260,plain,
( n12 = sK0
| ~ spl3_13
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2259,f178]) ).
fof(f2259,plain,
( sum(n14,n14) = sK0
| ~ spl3_13
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2258,f325]) ).
fof(f2258,plain,
( sum(pred(n15),n14) = sK0
| ~ spl3_13
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2257,f28]) ).
fof(f2257,plain,
( sum(pred(sum(n13,n2)),n14) = sK0
| ~ spl3_13
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2256,f30]) ).
fof(f2256,plain,
( sum(pred(sum(n13,n2)),sum(n1,n13)) = sK0
| ~ spl3_13
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2255,f250]) ).
fof(f2255,plain,
( sum(pred(sum(n13,n2)),sum(n1,pred(n14))) = sK0
| ~ spl3_13
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2254,f172]) ).
fof(f2254,plain,
( sum(pred(sum(n13,n2)),sum(n1,pred(sum(n13,n1)))) = sK0
| ~ spl3_13
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2232,f484]) ).
fof(f2251,plain,
( ~ spl3_1
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f2250]) ).
fof(f2250,plain,
( $false
| ~ spl3_1
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f2249,f117]) ).
fof(f2249,plain,
( n10 = sK0
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2248,f185]) ).
fof(f2248,plain,
( sum(n5,n5) = sK0
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2247,f195]) ).
fof(f2247,plain,
( sK0 = sum(pred(n6),n5)
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2246,f57]) ).
fof(f2246,plain,
( sum(pred(sum(n4,n2)),n5) = sK0
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2245,f327]) ).
fof(f2245,plain,
( sum(pred(sum(n4,n2)),sum(n1,n4)) = sK0
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2244,f124]) ).
fof(f2244,plain,
( sum(pred(sum(n4,n2)),sum(n1,pred(n5))) = sK0
| ~ spl3_1
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2243,f136]) ).
fof(f2243,plain,
( sum(pred(sum(n4,n2)),sum(n1,pred(sum(n4,n1)))) = sK0
| ~ spl3_1
| ~ spl3_21 ),
inference(backward_demodulation,[],[f2232,f436]) ).
fof(f2218,plain,
( ~ spl3_8
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f2217]) ).
fof(f2217,plain,
( $false
| ~ spl3_8
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f2216,f322]) ).
fof(f2216,plain,
( n2 = sK0
| ~ spl3_8
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2215,f419]) ).
fof(f2215,plain,
( sum(n14,n4) = sK0
| ~ spl3_8
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2214,f325]) ).
fof(f2214,plain,
( sum(pred(n15),n4) = sK0
| ~ spl3_8
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2213,f92]) ).
fof(f92,plain,
n15 = sum(n7,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f2213,plain,
( sum(pred(sum(n7,n8)),n4) = sK0
| ~ spl3_8
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2212,f73]) ).
fof(f2212,plain,
( sum(pred(sum(n7,succ(n7))),n4) = sK0
| ~ spl3_8
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2211,f268]) ).
fof(f2211,plain,
( sum(pred(sum(n7,succ(n7))),sum(n7,n13)) = sK0
| ~ spl3_8
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2210,f250]) ).
fof(f2210,plain,
( sum(pred(sum(n7,succ(n7))),sum(n7,pred(n14))) = sK0
| ~ spl3_8
| ~ spl3_27 ),
inference(forward_demodulation,[],[f2209,f188]) ).
fof(f2209,plain,
( sum(pred(sum(n7,succ(n7))),sum(n7,pred(sum(n7,n7)))) = sK0
| ~ spl3_8
| ~ spl3_27 ),
inference(backward_demodulation,[],[f1981,f541]) ).
fof(f1981,plain,
( sum(pred(sum(n7,succ(sK1))),sum(sK1,pred(sum(n7,sK1)))) = sK0
| ~ spl3_8 ),
inference(backward_demodulation,[],[f231,f464]) ).
fof(f464,plain,
( n7 = sK2
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f462,plain,
( spl3_8
<=> n7 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f2200,plain,
( ~ spl3_8
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f2199]) ).
fof(f2199,plain,
( $false
| ~ spl3_8
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f2198,f117]) ).
fof(f2198,plain,
( n10 = sK0
| ~ spl3_8
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2197,f81]) ).
fof(f2197,plain,
( sum(n6,n4) = sK0
| ~ spl3_8
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2196,f80]) ).
fof(f2196,plain,
( sum(pred(n7),n4) = sK0
| ~ spl3_8
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2195,f402]) ).
fof(f2195,plain,
( sum(pred(sum(n7,n0)),n4) = sK0
| ~ spl3_8
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2194,f208]) ).
fof(f2194,plain,
( sum(pred(sum(n7,succ(n15))),n4) = sK0
| ~ spl3_8
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2193,f287]) ).
fof(f2193,plain,
( sK0 = sum(pred(sum(n7,succ(n15))),sum(n15,n5))
| ~ spl3_8
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2192,f195]) ).
fof(f2192,plain,
( sum(pred(sum(n7,succ(n15))),sum(n15,pred(n6))) = sK0
| ~ spl3_8
| ~ spl3_29 ),
inference(forward_demodulation,[],[f2191,f216]) ).
fof(f2191,plain,
( sum(pred(sum(n7,succ(n15))),sum(n15,pred(sum(n7,n15)))) = sK0
| ~ spl3_8
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1981,f549]) ).
fof(f2184,plain,
( ~ spl3_8
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f2183]) ).
fof(f2183,plain,
( $false
| ~ spl3_8
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f2182,f366]) ).
fof(f2182,plain,
( n13 = sK0
| ~ spl3_8
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2181,f227]) ).
fof(f2181,plain,
( sum(n7,n6) = sK0
| ~ spl3_8
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2180,f228]) ).
fof(f2180,plain,
( sum(pred(n8),n6) = sK0
| ~ spl3_8
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2179,f142]) ).
fof(f2179,plain,
( sum(pred(sum(n7,n1)),n6) = sK0
| ~ spl3_8
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2178,f329]) ).
fof(f2178,plain,
( sum(pred(sum(n7,succ(n0))),n6) = sK0
| ~ spl3_8
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2177,f380]) ).
fof(f2177,plain,
( sum(pred(sum(n7,succ(n0))),sum(n0,n6)) = sK0
| ~ spl3_8
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2176,f80]) ).
fof(f2176,plain,
( sum(pred(sum(n7,succ(n0))),sum(n0,pred(n7))) = sK0
| ~ spl3_8
| ~ spl3_32 ),
inference(forward_demodulation,[],[f2175,f402]) ).
fof(f2175,plain,
( sum(pred(sum(n7,succ(n0))),sum(n0,pred(sum(n7,n0)))) = sK0
| ~ spl3_8
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1981,f561]) ).
fof(f2164,plain,
( ~ spl3_8
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f2163]) ).
fof(f2163,plain,
( $false
| ~ spl3_8
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f2162,f13]) ).
fof(f2162,plain,
( n9 = sK0
| ~ spl3_8
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2161,f148]) ).
fof(f2161,plain,
( sum(n11,n14) = sK0
| ~ spl3_8
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2160,f99]) ).
fof(f2160,plain,
( sum(pred(n12),n14) = sK0
| ~ spl3_8
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2159,f56]) ).
fof(f2159,plain,
( sum(pred(sum(n7,n5)),n14) = sK0
| ~ spl3_8
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2158,f74]) ).
fof(f2158,plain,
( sum(pred(sum(n7,succ(n4))),n14) = sK0
| ~ spl3_8
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2157,f150]) ).
fof(f2157,plain,
( sK0 = sum(pred(sum(n7,succ(n4))),sum(n4,n10))
| ~ spl3_8
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2156,f115]) ).
fof(f2156,plain,
( sum(pred(sum(n7,succ(n4))),sum(n4,pred(n11))) = sK0
| ~ spl3_8
| ~ spl3_24 ),
inference(forward_demodulation,[],[f2155,f379]) ).
fof(f2155,plain,
( sK0 = sum(pred(sum(n7,succ(n4))),sum(n4,pred(sum(n7,n4))))
| ~ spl3_8
| ~ spl3_24 ),
inference(backward_demodulation,[],[f1981,f529]) ).
fof(f2144,plain,
( ~ spl3_8
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f2143]) ).
fof(f2143,plain,
( $false
| ~ spl3_8
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f2142,f381]) ).
fof(f2142,plain,
( n4 = sK0
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2141,f75]) ).
fof(f2141,plain,
( sum(n4,n0) = sK0
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2140,f124]) ).
fof(f2140,plain,
( sum(pred(n5),n0) = sK0
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2139,f123]) ).
fof(f2139,plain,
( sum(pred(sum(n7,n14)),n0) = sK0
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2138,f335]) ).
fof(f2138,plain,
( sum(pred(sum(n7,succ(n13))),n0) = sK0
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2137,f103]) ).
fof(f2137,plain,
( sum(pred(sum(n7,succ(n13))),sum(n13,n3)) = sK0
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2136,f138]) ).
fof(f2136,plain,
( sum(pred(sum(n7,succ(n13))),sum(n13,pred(n4))) = sK0
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f2135,f268]) ).
fof(f2135,plain,
( sum(pred(sum(n7,succ(n13))),sum(n13,pred(sum(n7,n13)))) = sK0
| ~ spl3_8
| ~ spl3_22 ),
inference(backward_demodulation,[],[f1981,f521]) ).
fof(f2130,plain,
( ~ spl3_8
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f2129]) ).
fof(f2129,plain,
( $false
| ~ spl3_8
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f2128,f319]) ).
fof(f2128,plain,
( n5 = sK0
| ~ spl3_8
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2127,f6]) ).
fof(f2127,plain,
( sum(n15,n6) = sK0
| ~ spl3_8
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2126,f94]) ).
fof(f2126,plain,
( sum(pred(n0),n6) = sK0
| ~ spl3_8
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2125,f342]) ).
fof(f2125,plain,
( sum(pred(sum(n7,n9)),n6) = sK0
| ~ spl3_8
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2124,f61]) ).
fof(f2124,plain,
( sum(pred(sum(n7,succ(n8))),n6) = sK0
| ~ spl3_8
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2123,f387]) ).
fof(f2123,plain,
( sum(pred(sum(n7,succ(n8))),sum(n8,n14)) = sK0
| ~ spl3_8
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2122,f325]) ).
fof(f2122,plain,
( sum(pred(sum(n7,succ(n8))),sum(n8,pred(n15))) = sK0
| ~ spl3_8
| ~ spl3_23 ),
inference(forward_demodulation,[],[f2121,f92]) ).
fof(f2121,plain,
( sum(pred(sum(n7,succ(n8))),sum(n8,pred(sum(n7,n8)))) = sK0
| ~ spl3_8
| ~ spl3_23 ),
inference(backward_demodulation,[],[f1981,f525]) ).
fof(f2110,plain,
( ~ spl3_8
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f2109]) ).
fof(f2109,plain,
( $false
| ~ spl3_8
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f2108,f331]) ).
fof(f2108,plain,
( n0 = sK0
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2107,f207]) ).
fof(f2107,plain,
( sum(n8,n8) = sK0
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2106,f388]) ).
fof(f2106,plain,
( sum(pred(n9),n8) = sK0
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2105,f166]) ).
fof(f2105,plain,
( sum(pred(sum(n7,n2)),n8) = sK0
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2104,f205]) ).
fof(f2104,plain,
( sum(pred(sum(n7,succ(n1))),n8) = sK0
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2103,f269]) ).
fof(f2103,plain,
( sum(pred(sum(n7,succ(n1))),sum(n1,n7)) = sK0
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2102,f228]) ).
fof(f2102,plain,
( sum(pred(sum(n7,succ(n1))),sum(n1,pred(n8))) = sK0
| ~ spl3_8
| ~ spl3_21 ),
inference(forward_demodulation,[],[f2101,f142]) ).
fof(f2101,plain,
( sum(pred(sum(n7,succ(n1))),sum(n1,pred(sum(n7,n1)))) = sK0
| ~ spl3_8
| ~ spl3_21 ),
inference(backward_demodulation,[],[f1981,f517]) ).
fof(f2090,plain,
( ~ spl3_8
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f2089]) ).
fof(f2089,plain,
( $false
| ~ spl3_8
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f2088,f234]) ).
fof(f2088,plain,
( n6 = sK0
| ~ spl3_8
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2087,f16]) ).
fof(f2087,plain,
( sum(n10,n12) = sK0
| ~ spl3_8
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2086,f115]) ).
fof(f2086,plain,
( sum(pred(n11),n12) = sK0
| ~ spl3_8
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2085,f379]) ).
fof(f2085,plain,
( sum(pred(sum(n7,n4)),n12) = sK0
| ~ spl3_8
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2084,f225]) ).
fof(f2084,plain,
( sum(pred(sum(n7,succ(n3))),n12) = sK0
| ~ spl3_8
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2083,f168]) ).
fof(f2083,plain,
( sum(pred(sum(n7,succ(n3))),sum(n3,n9)) = sK0
| ~ spl3_8
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2082,f365]) ).
fof(f2082,plain,
( sum(pred(sum(n7,succ(n3))),sum(n3,pred(n10))) = sK0
| ~ spl3_8
| ~ spl3_30 ),
inference(forward_demodulation,[],[f2081,f392]) ).
fof(f2081,plain,
( sum(pred(sum(n7,succ(n3))),sum(n3,pred(sum(n7,n3)))) = sK0
| ~ spl3_8
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1981,f553]) ).
fof(f2065,plain,
( ~ spl3_8
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f2064]) ).
fof(f2064,plain,
( $false
| ~ spl3_8
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f2063,f306]) ).
fof(f2063,plain,
( n8 = sK0
| ~ spl3_8
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2062,f86]) ).
fof(f2062,plain,
( sum(n0,n8) = sK0
| ~ spl3_8
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2061,f406]) ).
fof(f2061,plain,
( sum(pred(n1),n8) = sK0
| ~ spl3_8
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2060,f93]) ).
fof(f2060,plain,
( sum(pred(sum(n7,n10)),n8) = sK0
| ~ spl3_8
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2059,f338]) ).
fof(f2059,plain,
( sum(pred(sum(n7,succ(n9))),n8) = sK0
| ~ spl3_8
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2058,f66]) ).
fof(f2058,plain,
( sum(pred(sum(n7,succ(n9))),sum(n9,n15)) = sK0
| ~ spl3_8
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2057,f94]) ).
fof(f2057,plain,
( sum(pred(sum(n7,succ(n9))),sum(n9,pred(n0))) = sK0
| ~ spl3_8
| ~ spl3_28 ),
inference(forward_demodulation,[],[f2056,f342]) ).
fof(f2056,plain,
( sum(pred(sum(n7,succ(n9))),sum(n9,pred(sum(n7,n9)))) = sK0
| ~ spl3_8
| ~ spl3_28 ),
inference(backward_demodulation,[],[f1981,f545]) ).
fof(f2052,plain,
( ~ spl3_8
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f2051]) ).
fof(f2051,plain,
( $false
| ~ spl3_8
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f2050,f251]) ).
fof(f2050,plain,
( n15 = sK0
| ~ spl3_8
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2049,f28]) ).
fof(f2049,plain,
( sum(n13,n2) = sK0
| ~ spl3_8
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2048,f250]) ).
fof(f2048,plain,
( sum(pred(n14),n2) = sK0
| ~ spl3_8
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2047,f188]) ).
fof(f2047,plain,
( sum(pred(sum(n7,n7)),n2) = sK0
| ~ spl3_8
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2046,f76]) ).
fof(f2046,plain,
( sum(pred(sum(n7,succ(n6))),n2) = sK0
| ~ spl3_8
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2045,f119]) ).
fof(f2045,plain,
( sum(pred(sum(n7,succ(n6))),sum(n6,n12)) = sK0
| ~ spl3_8
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2044,f95]) ).
fof(f2044,plain,
( sum(pred(sum(n7,succ(n6))),sum(n6,pred(n13))) = sK0
| ~ spl3_8
| ~ spl3_26 ),
inference(forward_demodulation,[],[f2043,f227]) ).
fof(f2043,plain,
( sum(pred(sum(n7,succ(n6))),sum(n6,pred(sum(n7,n6)))) = sK0
| ~ spl3_8
| ~ spl3_26 ),
inference(backward_demodulation,[],[f1981,f537]) ).
fof(f2034,plain,
( ~ spl3_8
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f2033]) ).
fof(f2033,plain,
( $false
| ~ spl3_8
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f2032,f220]) ).
fof(f2032,plain,
( n14 = sK0
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2031,f180]) ).
fof(f180,plain,
n14 = sum(n2,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f2031,plain,
( sum(n2,n12) = sK0
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2030,f147]) ).
fof(f2030,plain,
( sum(pred(n3),n12) = sK0
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2029,f126]) ).
fof(f2029,plain,
( sum(pred(sum(n7,n12)),n12) = sK0
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2028,f183]) ).
fof(f2028,plain,
( sum(pred(sum(n7,succ(n11))),n12) = sK0
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2027,f432]) ).
fof(f2027,plain,
( sum(pred(sum(n7,succ(n11))),sum(n11,n1)) = sK0
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2026,f155]) ).
fof(f2026,plain,
( sum(pred(sum(n7,succ(n11))),sum(n11,pred(n2))) = sK0
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f2025,f62]) ).
fof(f2025,plain,
( sK0 = sum(pred(sum(n7,succ(n11))),sum(n11,pred(sum(n7,n11))))
| ~ spl3_8
| ~ spl3_20 ),
inference(backward_demodulation,[],[f1981,f513]) ).
fof(f2020,plain,
( ~ spl3_8
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f2019]) ).
fof(f2019,plain,
( $false
| ~ spl3_8
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f2018,f110]) ).
fof(f2018,plain,
( n7 = sK0
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2017,f411]) ).
fof(f2017,plain,
( sum(n5,n2) = sK0
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2016,f195]) ).
fof(f2016,plain,
( sum(pred(n6),n2) = sK0
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2015,f216]) ).
fof(f2015,plain,
( sum(pred(sum(n7,n15)),n2) = sK0
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2014,f357]) ).
fof(f2014,plain,
( sum(pred(sum(n7,succ(n14))),n2) = sK0
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2013,f419]) ).
fof(f2013,plain,
( sum(pred(sum(n7,succ(n14))),sum(n14,n4)) = sK0
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2012,f124]) ).
fof(f2012,plain,
( sum(pred(sum(n7,succ(n14))),sum(n14,pred(n5))) = sK0
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f2011,f123]) ).
fof(f2011,plain,
( sum(pred(sum(n7,succ(n14))),sum(n14,pred(sum(n7,n14)))) = sK0
| ~ spl3_8
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1981,f505]) ).
fof(f1995,plain,
( ~ spl3_8
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f1994]) ).
fof(f1994,plain,
( $false
| ~ spl3_8
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f1993,f383]) ).
fof(f1993,plain,
( n12 = sK0
| ~ spl3_8
| ~ spl3_25 ),
inference(forward_demodulation,[],[f1992,f301]) ).
fof(f1992,plain,
( sum(n12,n0) = sK0
| ~ spl3_8
| ~ spl3_25 ),
inference(forward_demodulation,[],[f1991,f95]) ).
fof(f1991,plain,
( sum(pred(n13),n0) = sK0
| ~ spl3_8
| ~ spl3_25 ),
inference(forward_demodulation,[],[f1990,f227]) ).
fof(f1990,plain,
( sum(pred(sum(n7,n6)),n0) = sK0
| ~ spl3_8
| ~ spl3_25 ),
inference(forward_demodulation,[],[f1989,f161]) ).
fof(f1989,plain,
( sum(pred(sum(n7,succ(n5))),n0) = sK0
| ~ spl3_8
| ~ spl3_25 ),
inference(forward_demodulation,[],[f1988,f404]) ).
fof(f1988,plain,
( sum(pred(sum(n7,succ(n5))),sum(n5,n11)) = sK0
| ~ spl3_8
| ~ spl3_25 ),
inference(forward_demodulation,[],[f1987,f99]) ).
fof(f1987,plain,
( sum(pred(sum(n7,succ(n5))),sum(n5,pred(n12))) = sK0
| ~ spl3_8
| ~ spl3_25 ),
inference(forward_demodulation,[],[f1986,f56]) ).
fof(f1986,plain,
( sum(pred(sum(n7,succ(n5))),sum(n5,pred(sum(n7,n5)))) = sK0
| ~ spl3_8
| ~ spl3_25 ),
inference(backward_demodulation,[],[f1981,f533]) ).
fof(f1979,plain,
( ~ spl3_12
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1978]) ).
fof(f1978,plain,
( $false
| ~ spl3_12
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1977,f67]) ).
fof(f1977,plain,
( n1 = sK0
| ~ spl3_12
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1976,f169]) ).
fof(f169,plain,
n1 = sum(n8,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f1976,plain,
( sum(n8,n9) = sK0
| ~ spl3_12
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1975,f388]) ).
fof(f1975,plain,
( sum(pred(n9),n9) = sK0
| ~ spl3_12
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1974,f244]) ).
fof(f1974,plain,
( sum(pred(sum(n6,n3)),n9) = sK0
| ~ spl3_12
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1973,f394]) ).
fof(f1973,plain,
( sK0 = sum(pred(sum(n6,n3)),sum(n2,n7))
| ~ spl3_12
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1972,f228]) ).
fof(f1972,plain,
( sum(pred(sum(n6,n3)),sum(n2,pred(n8))) = sK0
| ~ spl3_12
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1971,f282]) ).
fof(f1971,plain,
( sum(pred(sum(n6,n3)),sum(n2,pred(sum(n6,n2)))) = sK0
| ~ spl3_12
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1784,f480]) ).
fof(f1784,plain,
( sum(pred(sum(sK2,n3)),sum(n2,pred(sum(sK2,n2)))) = sK0
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1768,f240]) ).
fof(f240,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f5]) ).
fof(f1768,plain,
( sum(pred(sum(sK2,succ(n2))),sum(n2,pred(sum(sK2,n2)))) = sK0
| ~ spl3_19 ),
inference(forward_demodulation,[],[f231,f509]) ).
fof(f509,plain,
( n2 = sK1
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f507,plain,
( spl3_19
<=> n2 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f1959,plain,
( ~ spl3_7
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1958]) ).
fof(f1958,plain,
( $false
| ~ spl3_7
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1957,f366]) ).
fof(f1957,plain,
( n13 = sK0
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1956,f194]) ).
fof(f1956,plain,
( sum(n14,n15) = sK0
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1955,f325]) ).
fof(f1955,plain,
( sum(pred(n15),n15) = sK0
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1954,f230]) ).
fof(f1954,plain,
( sum(pred(sum(n12,n3)),n15) = sK0
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1953,f370]) ).
fof(f370,plain,
n15 = sum(n2,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f1953,plain,
( sum(pred(sum(n12,n3)),sum(n2,n13)) = sK0
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1952,f250]) ).
fof(f1952,plain,
( sum(pred(sum(n12,n3)),sum(n2,pred(n14))) = sK0
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1951,f116]) ).
fof(f1951,plain,
( sum(pred(sum(n12,n3)),sum(n2,pred(sum(n12,n2)))) = sK0
| ~ spl3_7
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1784,f460]) ).
fof(f1948,plain,
( ~ spl3_1
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1947]) ).
fof(f1947,plain,
( $false
| ~ spl3_1
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1946,f366]) ).
fof(f1946,plain,
( n13 = sK0
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1945,f179]) ).
fof(f1945,plain,
( sum(n6,n7) = sK0
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1944,f80]) ).
fof(f1944,plain,
( sum(pred(n7),n7) = sK0
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1943,f426]) ).
fof(f1943,plain,
( sum(pred(sum(n4,n3)),n7) = sK0
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1942,f85]) ).
fof(f1942,plain,
( sum(pred(sum(n4,n3)),sum(n2,n5)) = sK0
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1941,f195]) ).
fof(f1941,plain,
( sum(pred(sum(n4,n3)),sum(n2,pred(n6))) = sK0
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1940,f57]) ).
fof(f1940,plain,
( sum(pred(sum(n4,n3)),sum(n2,pred(sum(n4,n2)))) = sK0
| ~ spl3_1
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1784,f436]) ).
fof(f1929,plain,
( ~ spl3_4
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1928]) ).
fof(f1928,plain,
( $false
| ~ spl3_4
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1927,f13]) ).
fof(f1927,plain,
( n9 = sK0
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1926,f12]) ).
fof(f1926,plain,
( sum(n12,n13) = sK0
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1925,f95]) ).
fof(f1925,plain,
( sum(pred(n13),n13) = sK0
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1924,f298]) ).
fof(f1924,plain,
( sum(pred(sum(n10,n3)),n13) = sK0
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1923,f375]) ).
fof(f375,plain,
n13 = sum(n2,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f1923,plain,
( sum(pred(sum(n10,n3)),sum(n2,n11)) = sK0
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1922,f99]) ).
fof(f1922,plain,
( sum(pred(sum(n10,n3)),sum(n2,pred(n12))) = sK0
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1921,f71]) ).
fof(f1921,plain,
( sum(pred(sum(n10,n3)),sum(n2,pred(sum(n10,n2)))) = sK0
| ~ spl3_4
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1784,f448]) ).
fof(f1911,plain,
( ~ spl3_10
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1910]) ).
fof(f1910,plain,
( $false
| ~ spl3_10
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1909,f110]) ).
fof(f1909,plain,
( n7 = sK0
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1908,f112]) ).
fof(f1908,plain,
( sum(n3,n4) = sK0
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1907,f138]) ).
fof(f1907,plain,
( sum(pred(n4),n4) = sK0
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1906,f52]) ).
fof(f1906,plain,
( sum(pred(sum(n1,n3)),n4) = sK0
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1905,f257]) ).
fof(f1905,plain,
( sum(pred(sum(n1,n3)),sum(n2,n2)) = sK0
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1904,f147]) ).
fof(f1904,plain,
( sum(pred(sum(n1,n3)),sum(n2,pred(n3))) = sK0
| ~ spl3_10
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1903,f158]) ).
fof(f1903,plain,
( sum(pred(sum(n1,n3)),sum(n2,pred(sum(n1,n2)))) = sK0
| ~ spl3_10
| ~ spl3_19 ),
inference(backward_demodulation,[],[f1784,f472]) ).
fof(f1893,plain,
( ~ spl3_5
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1892]) ).
fof(f1892,plain,
( $false
| ~ spl3_5
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1891,f251]) ).
fof(f1891,plain,
( n15 = sK0
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1890,f92]) ).
fof(f1890,plain,
( sum(n7,n8) = sK0
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1889,f228]) ).
fof(f1889,plain,
( sum(pred(n8),n8) = sK0
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1888,f69]) ).
fof(f1888,plain,
( sum(pred(sum(n5,n3)),n8) = sK0
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1887,f372]) ).
fof(f1887,plain,
( sum(pred(sum(n5,n3)),sum(n2,n6)) = sK0
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1886,f80]) ).
fof(f1886,plain,
( sum(pred(sum(n5,n3)),sum(n2,pred(n7))) = sK0
| ~ spl3_5
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1885,f411]) ).
fof(f1885,plain,
( sum(pred(sum(n5,n3)),sum(n2,pred(sum(n5,n2)))) = sK0
| ~ spl3_5
| ~ spl3_19 ),
inference(backward_demodulation,[],[f1784,f452]) ).
fof(f1873,plain,
( ~ spl3_9
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1872]) ).
fof(f1872,plain,
( $false
| ~ spl3_9
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1871,f176]) ).
fof(f1871,plain,
( n11 = sK0
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1870,f281]) ).
fof(f1870,plain,
( sum(n5,n6) = sK0
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1869,f195]) ).
fof(f1869,plain,
( sum(pred(n6),n6) = sK0
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1868,f276]) ).
fof(f1868,plain,
( sum(pred(sum(n3,n3)),n6) = sK0
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1867,f202]) ).
fof(f1867,plain,
( sum(pred(sum(n3,n3)),sum(n2,n4)) = sK0
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1866,f124]) ).
fof(f1866,plain,
( sum(pred(sum(n3,n3)),sum(n2,pred(n5))) = sK0
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1865,f14]) ).
fof(f1865,plain,
( sum(pred(sum(n3,n3)),sum(n2,pred(sum(n3,n2)))) = sK0
| ~ spl3_9
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1784,f468]) ).
fof(f1853,plain,
( ~ spl3_6
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1852]) ).
fof(f1852,plain,
( $false
| ~ spl3_6
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1851,f213]) ).
fof(f1851,plain,
( n3 = sK0
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1850,f158]) ).
fof(f1850,plain,
( sum(n1,n2) = sK0
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1849,f155]) ).
fof(f1849,plain,
( sum(pred(n2),n2) = sK0
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1848,f346]) ).
fof(f1848,plain,
( sum(pred(sum(n15,n3)),n2) = sK0
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1847,f229]) ).
fof(f1847,plain,
( sum(pred(sum(n15,n3)),sum(n2,n0)) = sK0
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1846,f406]) ).
fof(f1846,plain,
( sum(pred(sum(n15,n3)),sum(n2,pred(n1))) = sK0
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1845,f305]) ).
fof(f1845,plain,
( sum(pred(sum(n15,n3)),sum(n2,pred(sum(n15,n2)))) = sK0
| ~ spl3_6
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1784,f456]) ).
fof(f1843,plain,
( ~ spl3_14
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1842]) ).
fof(f1842,plain,
( $false
| ~ spl3_14
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1841,f319]) ).
fof(f1841,plain,
( n5 = sK0
| ~ spl3_14
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1840,f164]) ).
fof(f164,plain,
n5 = sum(n2,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f1840,plain,
( sum(n2,n3) = sK0
| ~ spl3_14
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1839,f147]) ).
fof(f1839,plain,
( sum(pred(n3),n3) = sK0
| ~ spl3_14
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1838,f26]) ).
fof(f1838,plain,
( sK0 = sum(pred(sum(n0,n3)),n3)
| ~ spl3_14
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1837,f149]) ).
fof(f149,plain,
n3 = sum(n2,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f1837,plain,
( sum(pred(sum(n0,n3)),sum(n2,n1)) = sK0
| ~ spl3_14
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1836,f155]) ).
fof(f1836,plain,
( sK0 = sum(pred(sum(n0,n3)),sum(n2,pred(n2)))
| ~ spl3_14
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1835,f430]) ).
fof(f1835,plain,
( sK0 = sum(pred(sum(n0,n3)),sum(n2,pred(sum(n0,n2))))
| ~ spl3_14
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1784,f488]) ).
fof(f1820,plain,
( ~ spl3_3
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1819]) ).
fof(f1819,plain,
( $false
| ~ spl3_3
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1818,f67]) ).
fof(f1818,plain,
( n1 = sK0
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1817,f312]) ).
fof(f1817,plain,
( sum(n0,n1) = sK0
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1816,f406]) ).
fof(f1816,plain,
( sum(pred(n1),n1) = sK0
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1815,f425]) ).
fof(f1815,plain,
( sum(pred(sum(n14,n3)),n1) = sK0
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1814,f109]) ).
fof(f1814,plain,
( sum(pred(sum(n14,n3)),sum(n2,n15)) = sK0
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1813,f94]) ).
fof(f1813,plain,
( sum(pred(sum(n14,n3)),sum(n2,pred(n0))) = sK0
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1812,f55]) ).
fof(f1812,plain,
( sum(pred(sum(n14,n3)),sum(n2,pred(sum(n14,n2)))) = sK0
| ~ spl3_3
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1784,f444]) ).
fof(f1810,plain,
( ~ spl3_13
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1809]) ).
fof(f1809,plain,
( $false
| ~ spl3_13
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1808,f251]) ).
fof(f1808,plain,
( n15 = sK0
| ~ spl3_13
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1807,f321]) ).
fof(f1807,plain,
( sum(n15,n0) = sK0
| ~ spl3_13
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1806,f94]) ).
fof(f1806,plain,
( sum(pred(n0),n0) = sK0
| ~ spl3_13
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1805,f103]) ).
fof(f1805,plain,
( sum(pred(sum(n13,n3)),n0) = sK0
| ~ spl3_13
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1804,f256]) ).
fof(f1804,plain,
( sum(pred(sum(n13,n3)),sum(n2,n14)) = sK0
| ~ spl3_13
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1803,f325]) ).
fof(f1803,plain,
( sum(pred(sum(n13,n3)),sum(n2,pred(n15))) = sK0
| ~ spl3_13
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1802,f28]) ).
fof(f1802,plain,
( sum(pred(sum(n13,n3)),sum(n2,pred(sum(n13,n2)))) = sK0
| ~ spl3_13
| ~ spl3_19 ),
inference(backward_demodulation,[],[f1784,f484]) ).
fof(f1797,plain,
( ~ spl3_8
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1796]) ).
fof(f1796,plain,
( $false
| ~ spl3_8
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1795,f213]) ).
fof(f1795,plain,
( n3 = sK0
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1794,f25]) ).
fof(f1794,plain,
( sum(n9,n10) = sK0
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1793,f365]) ).
fof(f1793,plain,
( sum(pred(n10),n10) = sK0
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1792,f392]) ).
fof(f1792,plain,
( sum(pred(sum(n7,n3)),n10) = sK0
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1791,f302]) ).
fof(f302,plain,
n10 = sum(n2,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f1791,plain,
( sum(pred(sum(n7,n3)),sum(n2,n8)) = sK0
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1790,f388]) ).
fof(f1790,plain,
( sum(pred(sum(n7,n3)),sum(n2,pred(n9))) = sK0
| ~ spl3_8
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1789,f166]) ).
fof(f1789,plain,
( sum(pred(sum(n7,n3)),sum(n2,pred(sum(n7,n2)))) = sK0
| ~ spl3_8
| ~ spl3_19 ),
inference(backward_demodulation,[],[f1784,f464]) ).
fof(f1778,plain,
( ~ spl3_11
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1777]) ).
fof(f1777,plain,
( $false
| ~ spl3_11
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1776,f110]) ).
fof(f1776,plain,
( n7 = sK0
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1775,f152]) ).
fof(f152,plain,
n7 = sum(n11,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f1775,plain,
( sum(n11,n12) = sK0
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1774,f99]) ).
fof(f1774,plain,
( sum(pred(n12),n12) = sK0
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1773,f259]) ).
fof(f1773,plain,
( sum(pred(sum(n9,n3)),n12) = sK0
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1772,f240]) ).
fof(f1772,plain,
( sum(pred(sum(n9,succ(n2))),n12) = sK0
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1771,f35]) ).
fof(f1771,plain,
( sum(pred(sum(n9,succ(n2))),sum(n2,n10)) = sK0
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1770,f115]) ).
fof(f1770,plain,
( sum(pred(sum(n9,succ(n2))),sum(n2,pred(n11))) = sK0
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1769,f47]) ).
fof(f1769,plain,
( sum(pred(sum(n9,succ(n2))),sum(n2,pred(sum(n9,n2)))) = sK0
| ~ spl3_11
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1768,f476]) ).
fof(f1750,plain,
( ~ spl3_15
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f1749]) ).
fof(f1749,plain,
( $false
| ~ spl3_15
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f1748,f234]) ).
fof(f1748,plain,
( n6 = sK0
| ~ spl3_15
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1747,f276]) ).
fof(f1747,plain,
( sum(n3,n3) = sK0
| ~ spl3_15
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1746,f138]) ).
fof(f1746,plain,
( sum(pred(n4),n3) = sK0
| ~ spl3_15
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1745,f257]) ).
fof(f1745,plain,
( sum(pred(sum(n2,n2)),n3) = sK0
| ~ spl3_15
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1744,f205]) ).
fof(f1744,plain,
( sum(pred(sum(n2,succ(n1))),n3) = sK0
| ~ spl3_15
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1743,f158]) ).
fof(f1743,plain,
( sum(pred(sum(n2,succ(n1))),sum(n1,n2)) = sK0
| ~ spl3_15
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1742,f147]) ).
fof(f1742,plain,
( sum(pred(sum(n2,succ(n1))),sum(n1,pred(n3))) = sK0
| ~ spl3_15
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1741,f149]) ).
fof(f1741,plain,
( sum(pred(sum(n2,succ(n1))),sum(n1,pred(sum(n2,n1)))) = sK0
| ~ spl3_15
| ~ spl3_21 ),
inference(backward_demodulation,[],[f1523,f517]) ).
fof(f1523,plain,
( sum(pred(sum(n2,succ(sK1))),sum(sK1,pred(sum(n2,sK1)))) = sK0
| ~ spl3_15 ),
inference(forward_demodulation,[],[f231,f492]) ).
fof(f492,plain,
( n2 = sK2
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f490,plain,
( spl3_15
<=> n2 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f1727,plain,
( ~ spl3_15
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f1726]) ).
fof(f1726,plain,
( $false
| ~ spl3_15
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f1725,f213]) ).
fof(f1725,plain,
( n3 = sK0
| ~ spl3_15
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1724,f149]) ).
fof(f1724,plain,
( sum(n2,n1) = sK0
| ~ spl3_15
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1723,f147]) ).
fof(f1723,plain,
( sum(pred(n3),n1) = sK0
| ~ spl3_15
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1722,f149]) ).
fof(f1722,plain,
( sum(pred(sum(n2,n1)),n1) = sK0
| ~ spl3_15
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1721,f329]) ).
fof(f1721,plain,
( sum(pred(sum(n2,succ(n0))),n1) = sK0
| ~ spl3_15
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1720,f312]) ).
fof(f1720,plain,
( sum(pred(sum(n2,succ(n0))),sum(n0,n1)) = sK0
| ~ spl3_15
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1719,f155]) ).
fof(f1719,plain,
( sum(pred(sum(n2,succ(n0))),sum(n0,pred(n2))) = sK0
| ~ spl3_15
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1718,f229]) ).
fof(f1718,plain,
( sum(pred(sum(n2,succ(n0))),sum(n0,pred(sum(n2,n0)))) = sK0
| ~ spl3_15
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1523,f561]) ).
fof(f1702,plain,
( ~ spl3_15
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f1701]) ).
fof(f1701,plain,
( $false
| ~ spl3_15
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f1700,f319]) ).
fof(f1700,plain,
( n5 = sK0
| ~ spl3_15
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1699,f408]) ).
fof(f1699,plain,
( sum(n8,n13) = sK0
| ~ spl3_15
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1698,f388]) ).
fof(f1698,plain,
( sum(pred(n9),n13) = sK0
| ~ spl3_15
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1697,f394]) ).
fof(f1697,plain,
( sum(pred(sum(n2,n7)),n13) = sK0
| ~ spl3_15
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1696,f76]) ).
fof(f1696,plain,
( sum(pred(sum(n2,succ(n6))),n13) = sK0
| ~ spl3_15
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1695,f179]) ).
fof(f1695,plain,
( sum(pred(sum(n2,succ(n6))),sum(n6,n7)) = sK0
| ~ spl3_15
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1694,f228]) ).
fof(f1694,plain,
( sum(pred(sum(n2,succ(n6))),sum(n6,pred(n8))) = sK0
| ~ spl3_15
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1693,f372]) ).
fof(f1693,plain,
( sum(pred(sum(n2,succ(n6))),sum(n6,pred(sum(n2,n6)))) = sK0
| ~ spl3_15
| ~ spl3_26 ),
inference(backward_demodulation,[],[f1523,f537]) ).
fof(f1684,plain,
( ~ spl3_15
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f1683]) ).
fof(f1683,plain,
( $false
| ~ spl3_15
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f1682,f176]) ).
fof(f1682,plain,
( n11 = sK0
| ~ spl3_15
| ~ spl3_23 ),
inference(forward_demodulation,[],[f1681,f31]) ).
fof(f1681,plain,
( sum(n10,n1) = sK0
| ~ spl3_15
| ~ spl3_23 ),
inference(forward_demodulation,[],[f1680,f115]) ).
fof(f1680,plain,
( sum(pred(n11),n1) = sK0
| ~ spl3_15
| ~ spl3_23 ),
inference(forward_demodulation,[],[f1679,f382]) ).
fof(f1679,plain,
( sum(pred(sum(n2,n9)),n1) = sK0
| ~ spl3_15
| ~ spl3_23 ),
inference(forward_demodulation,[],[f1678,f61]) ).
fof(f1678,plain,
( sum(pred(sum(n2,succ(n8))),n1) = sK0
| ~ spl3_15
| ~ spl3_23 ),
inference(forward_demodulation,[],[f1677,f169]) ).
fof(f1677,plain,
( sum(pred(sum(n2,succ(n8))),sum(n8,n9)) = sK0
| ~ spl3_15
| ~ spl3_23 ),
inference(forward_demodulation,[],[f1676,f365]) ).
fof(f1676,plain,
( sum(pred(sum(n2,succ(n8))),sum(n8,pred(n10))) = sK0
| ~ spl3_15
| ~ spl3_23 ),
inference(forward_demodulation,[],[f1675,f302]) ).
fof(f1675,plain,
( sK0 = sum(pred(sum(n2,succ(n8))),sum(n8,pred(sum(n2,n8))))
| ~ spl3_15
| ~ spl3_23 ),
inference(backward_demodulation,[],[f1523,f525]) ).
fof(f1668,plain,
( ~ spl3_15
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f1667]) ).
fof(f1667,plain,
( $false
| ~ spl3_15
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f1666,f381]) ).
fof(f1666,plain,
( n4 = sK0
| ~ spl3_15
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1665,f107]) ).
fof(f1665,plain,
( sum(n13,n7) = sK0
| ~ spl3_15
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1664,f250]) ).
fof(f1664,plain,
( sK0 = sum(pred(n14),n7)
| ~ spl3_15
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1663,f180]) ).
fof(f1663,plain,
( sum(pred(sum(n2,n12)),n7) = sK0
| ~ spl3_15
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1662,f183]) ).
fof(f1662,plain,
( sum(pred(sum(n2,succ(n11))),n7) = sK0
| ~ spl3_15
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1661,f152]) ).
fof(f1661,plain,
( sum(pred(sum(n2,succ(n11))),sum(n11,n12)) = sK0
| ~ spl3_15
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1660,f95]) ).
fof(f1660,plain,
( sum(pred(sum(n2,succ(n11))),sum(n11,pred(n13))) = sK0
| ~ spl3_15
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1659,f375]) ).
fof(f1659,plain,
( sum(pred(sum(n2,succ(n11))),sum(n11,pred(sum(n2,n11)))) = sK0
| ~ spl3_15
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1523,f513]) ).
fof(f1655,plain,
( ~ spl3_15
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f1654]) ).
fof(f1654,plain,
( $false
| ~ spl3_15
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f1653,f366]) ).
fof(f1653,plain,
( n13 = sK0
| ~ spl3_15
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1652,f409]) ).
fof(f1652,plain,
( sum(n0,n13) = sK0
| ~ spl3_15
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1651,f406]) ).
fof(f1651,plain,
( sum(pred(n1),n13) = sK0
| ~ spl3_15
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1650,f109]) ).
fof(f1650,plain,
( sum(pred(sum(n2,n15)),n13) = sK0
| ~ spl3_15
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1649,f357]) ).
fof(f1649,plain,
( sum(pred(sum(n2,succ(n14))),n13) = sK0
| ~ spl3_15
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1648,f194]) ).
fof(f1648,plain,
( sum(pred(sum(n2,succ(n14))),sum(n14,n15)) = sK0
| ~ spl3_15
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1647,f94]) ).
fof(f1647,plain,
( sum(pred(sum(n2,succ(n14))),sum(n14,pred(n0))) = sK0
| ~ spl3_15
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1646,f256]) ).
fof(f1646,plain,
( sum(pred(sum(n2,succ(n14))),sum(n14,pred(sum(n2,n14)))) = sK0
| ~ spl3_15
| ~ spl3_18 ),
inference(backward_demodulation,[],[f1523,f505]) ).
fof(f1643,plain,
( ~ spl3_15
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f1642]) ).
fof(f1642,plain,
( $false
| ~ spl3_15
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f1641,f117]) ).
fof(f1641,plain,
( n10 = sK0
| ~ spl3_15
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1640,f170]) ).
fof(f1640,plain,
( sum(n15,n11) = sK0
| ~ spl3_15
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1639,f94]) ).
fof(f1639,plain,
( sum(pred(n0),n11) = sK0
| ~ spl3_15
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1638,f256]) ).
fof(f1638,plain,
( sum(pred(sum(n2,n14)),n11) = sK0
| ~ spl3_15
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1637,f335]) ).
fof(f1637,plain,
( sum(pred(sum(n2,succ(n13))),n11) = sK0
| ~ spl3_15
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1636,f362]) ).
fof(f1636,plain,
( sum(pred(sum(n2,succ(n13))),sum(n13,n14)) = sK0
| ~ spl3_15
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1635,f325]) ).
fof(f1635,plain,
( sum(pred(sum(n2,succ(n13))),sum(n13,pred(n15))) = sK0
| ~ spl3_15
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1634,f370]) ).
fof(f1634,plain,
( sum(pred(sum(n2,succ(n13))),sum(n13,pred(sum(n2,n13)))) = sK0
| ~ spl3_15
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1523,f521]) ).
fof(f1630,plain,
( ~ spl3_15
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f1629]) ).
fof(f1629,plain,
( $false
| ~ spl3_15
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f1628,f383]) ).
fof(f1628,plain,
( n12 = sK0
| ~ spl3_15
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1627,f378]) ).
fof(f1627,plain,
( sum(n5,n7) = sK0
| ~ spl3_15
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1626,f195]) ).
fof(f1626,plain,
( sum(pred(n6),n7) = sK0
| ~ spl3_15
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1625,f202]) ).
fof(f1625,plain,
( sum(pred(sum(n2,n4)),n7) = sK0
| ~ spl3_15
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1624,f225]) ).
fof(f1624,plain,
( sum(pred(sum(n2,succ(n3))),n7) = sK0
| ~ spl3_15
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1623,f112]) ).
fof(f1623,plain,
( sum(pred(sum(n2,succ(n3))),sum(n3,n4)) = sK0
| ~ spl3_15
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1622,f124]) ).
fof(f1622,plain,
( sum(pred(sum(n2,succ(n3))),sum(n3,pred(n5))) = sK0
| ~ spl3_15
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1621,f164]) ).
fof(f1621,plain,
( sum(pred(sum(n2,succ(n3))),sum(n3,pred(sum(n2,n3)))) = sK0
| ~ spl3_15
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1523,f553]) ).
fof(f1610,plain,
( ~ spl3_15
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1609]) ).
fof(f1609,plain,
( $false
| ~ spl3_15
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1608,f13]) ).
fof(f1608,plain,
( n9 = sK0
| ~ spl3_15
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1607,f163]) ).
fof(f1607,plain,
( sum(n4,n5) = sK0
| ~ spl3_15
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1606,f124]) ).
fof(f1606,plain,
( sum(pred(n5),n5) = sK0
| ~ spl3_15
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1605,f164]) ).
fof(f1605,plain,
( sum(pred(sum(n2,n3)),n5) = sK0
| ~ spl3_15
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1604,f240]) ).
fof(f1604,plain,
( sum(pred(sum(n2,succ(n2))),n5) = sK0
| ~ spl3_15
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1603,f164]) ).
fof(f1603,plain,
( sum(pred(sum(n2,succ(n2))),sum(n2,n3)) = sK0
| ~ spl3_15
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1602,f138]) ).
fof(f1602,plain,
( sum(pred(sum(n2,succ(n2))),sum(n2,pred(n4))) = sK0
| ~ spl3_15
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1601,f257]) ).
fof(f1601,plain,
( sum(pred(sum(n2,succ(n2))),sum(n2,pred(sum(n2,n2)))) = sK0
| ~ spl3_15
| ~ spl3_19 ),
inference(backward_demodulation,[],[f1523,f509]) ).
fof(f1588,plain,
( ~ spl3_15
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f1587]) ).
fof(f1587,plain,
( $false
| ~ spl3_15
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f1586,f331]) ).
fof(f1586,plain,
( n0 = sK0
| ~ spl3_15
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1585,f272]) ).
fof(f1585,plain,
( sum(n1,n15) = sK0
| ~ spl3_15
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1584,f155]) ).
fof(f1584,plain,
( sum(pred(n2),n15) = sK0
| ~ spl3_15
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1583,f229]) ).
fof(f1583,plain,
( sum(pred(sum(n2,n0)),n15) = sK0
| ~ spl3_15
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1582,f208]) ).
fof(f1582,plain,
( sum(pred(sum(n2,succ(n15))),n15) = sK0
| ~ spl3_15
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1581,f321]) ).
fof(f1581,plain,
( sum(pred(sum(n2,succ(n15))),sum(n15,n0)) = sK0
| ~ spl3_15
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1580,f406]) ).
fof(f1580,plain,
( sum(pred(sum(n2,succ(n15))),sum(n15,pred(n1))) = sK0
| ~ spl3_15
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1579,f109]) ).
fof(f1579,plain,
( sum(pred(sum(n2,succ(n15))),sum(n15,pred(sum(n2,n15)))) = sK0
| ~ spl3_15
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1523,f549]) ).
fof(f1574,plain,
( ~ spl3_15
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f1573]) ).
fof(f1573,plain,
( $false
| ~ spl3_15
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f1572,f251]) ).
fof(f1572,plain,
( n15 = sK0
| ~ spl3_15
| ~ spl3_24 ),
inference(forward_demodulation,[],[f1571,f354]) ).
fof(f1571,plain,
( sum(n6,n9) = sK0
| ~ spl3_15
| ~ spl3_24 ),
inference(forward_demodulation,[],[f1570,f80]) ).
fof(f1570,plain,
( sum(pred(n7),n9) = sK0
| ~ spl3_15
| ~ spl3_24 ),
inference(forward_demodulation,[],[f1569,f85]) ).
fof(f1569,plain,
( sum(pred(sum(n2,n5)),n9) = sK0
| ~ spl3_15
| ~ spl3_24 ),
inference(forward_demodulation,[],[f1568,f74]) ).
fof(f1568,plain,
( sum(pred(sum(n2,succ(n4))),n9) = sK0
| ~ spl3_15
| ~ spl3_24 ),
inference(forward_demodulation,[],[f1567,f163]) ).
fof(f1567,plain,
( sK0 = sum(pred(sum(n2,succ(n4))),sum(n4,n5))
| ~ spl3_15
| ~ spl3_24 ),
inference(forward_demodulation,[],[f1566,f195]) ).
fof(f1566,plain,
( sum(pred(sum(n2,succ(n4))),sum(n4,pred(n6))) = sK0
| ~ spl3_15
| ~ spl3_24 ),
inference(forward_demodulation,[],[f1565,f202]) ).
fof(f1565,plain,
( sum(pred(sum(n2,succ(n4))),sum(n4,pred(sum(n2,n4)))) = sK0
| ~ spl3_15
| ~ spl3_24 ),
inference(backward_demodulation,[],[f1523,f529]) ).
fof(f1554,plain,
( ~ spl3_15
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f1553]) ).
fof(f1553,plain,
( $false
| ~ spl3_15
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f1552,f220]) ).
fof(f1552,plain,
( n14 = sK0
| ~ spl3_15
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1551,f347]) ).
fof(f1551,plain,
( sum(n11,n3) = sK0
| ~ spl3_15
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1550,f99]) ).
fof(f1550,plain,
( sum(pred(n12),n3) = sK0
| ~ spl3_15
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1549,f35]) ).
fof(f1549,plain,
( sum(pred(sum(n2,n10)),n3) = sK0
| ~ spl3_15
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1548,f338]) ).
fof(f1548,plain,
( sum(pred(sum(n2,succ(n9))),n3) = sK0
| ~ spl3_15
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1547,f25]) ).
fof(f1547,plain,
( sum(pred(sum(n2,succ(n9))),sum(n9,n10)) = sK0
| ~ spl3_15
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1546,f115]) ).
fof(f1546,plain,
( sum(pred(sum(n2,succ(n9))),sum(n9,pred(n11))) = sK0
| ~ spl3_15
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1545,f382]) ).
fof(f1545,plain,
( sum(pred(sum(n2,succ(n9))),sum(n9,pred(sum(n2,n9)))) = sK0
| ~ spl3_15
| ~ spl3_28 ),
inference(backward_demodulation,[],[f1523,f545]) ).
fof(f1535,plain,
( ~ spl3_15
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f1534]) ).
fof(f1534,plain,
( $false
| ~ spl3_15
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f1533,f306]) ).
fof(f1533,plain,
( n8 = sK0
| ~ spl3_15
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1532,f66]) ).
fof(f1532,plain,
( sum(n9,n15) = sK0
| ~ spl3_15
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1531,f365]) ).
fof(f1531,plain,
( sum(pred(n10),n15) = sK0
| ~ spl3_15
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1530,f302]) ).
fof(f1530,plain,
( sum(pred(sum(n2,n8)),n15) = sK0
| ~ spl3_15
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1529,f73]) ).
fof(f1529,plain,
( sum(pred(sum(n2,succ(n7))),n15) = sK0
| ~ spl3_15
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1528,f92]) ).
fof(f1528,plain,
( sum(pred(sum(n2,succ(n7))),sum(n7,n8)) = sK0
| ~ spl3_15
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1527,f388]) ).
fof(f1527,plain,
( sum(pred(sum(n2,succ(n7))),sum(n7,pred(n9))) = sK0
| ~ spl3_15
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1526,f394]) ).
fof(f1526,plain,
( sum(pred(sum(n2,succ(n7))),sum(n7,pred(sum(n2,n7)))) = sK0
| ~ spl3_15
| ~ spl3_27 ),
inference(backward_demodulation,[],[f1523,f541]) ).
fof(f1522,plain,
( ~ spl3_15
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f1521]) ).
fof(f1521,plain,
( $false
| ~ spl3_15
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f1520,f322]) ).
fof(f1520,plain,
( n2 = sK0
| ~ spl3_15
| ~ spl3_25 ),
inference(forward_demodulation,[],[f1519,f62]) ).
fof(f1519,plain,
( sum(n7,n11) = sK0
| ~ spl3_15
| ~ spl3_25 ),
inference(forward_demodulation,[],[f1518,f228]) ).
fof(f1518,plain,
( sum(pred(n8),n11) = sK0
| ~ spl3_15
| ~ spl3_25 ),
inference(forward_demodulation,[],[f1517,f372]) ).
fof(f1517,plain,
( sum(pred(sum(n2,n6)),n11) = sK0
| ~ spl3_15
| ~ spl3_25 ),
inference(forward_demodulation,[],[f1516,f161]) ).
fof(f1516,plain,
( sum(pred(sum(n2,succ(n5))),n11) = sK0
| ~ spl3_15
| ~ spl3_25 ),
inference(forward_demodulation,[],[f1515,f281]) ).
fof(f1515,plain,
( sum(pred(sum(n2,succ(n5))),sum(n5,n6)) = sK0
| ~ spl3_15
| ~ spl3_25 ),
inference(forward_demodulation,[],[f1514,f80]) ).
fof(f1514,plain,
( sum(pred(sum(n2,succ(n5))),sum(n5,pred(n7))) = sK0
| ~ spl3_15
| ~ spl3_25 ),
inference(forward_demodulation,[],[f1513,f85]) ).
fof(f1513,plain,
( sum(pred(sum(n2,succ(n5))),sum(n5,pred(sum(n2,n5)))) = sK0
| ~ spl3_15
| ~ spl3_25 ),
inference(forward_demodulation,[],[f1512,f492]) ).
fof(f1512,plain,
( sum(pred(sum(sK2,succ(n5))),sum(n5,pred(sum(sK2,n5)))) = sK0
| ~ spl3_25 ),
inference(forward_demodulation,[],[f231,f533]) ).
fof(f1489,plain,
( ~ spl3_3
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1488]) ).
fof(f1488,plain,
( $false
| ~ spl3_3
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f1487,f251]) ).
fof(f1487,plain,
( n15 = sK0
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1486,f353]) ).
fof(f1486,plain,
( sum(n10,n5) = sK0
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1485,f115]) ).
fof(f1485,plain,
( sum(pred(n11),n5) = sK0
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1484,f431]) ).
fof(f1484,plain,
( sum(pred(sum(n14,n13)),n5) = sK0
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1483,f77]) ).
fof(f1483,plain,
( sum(pred(sum(n14,n13)),sum(n12,n9)) = sK0
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1482,f365]) ).
fof(f1482,plain,
( sum(pred(sum(n14,n13)),sum(n12,pred(n10))) = sK0
| ~ spl3_3
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1481,f326]) ).
fof(f1481,plain,
( sum(pred(sum(n14,n13)),sum(n12,pred(sum(n14,n12)))) = sK0
| ~ spl3_3
| ~ spl3_17 ),
inference(backward_demodulation,[],[f1309,f444]) ).
fof(f1309,plain,
( sum(pred(sum(sK2,n13)),sum(n12,pred(sum(sK2,n12)))) = sK0
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1254,f29]) ).
fof(f29,plain,
succ(n12) = n13,
inference(cnf_transformation,[],[f5]) ).
fof(f1254,plain,
( sum(pred(sum(sK2,succ(n12))),sum(n12,pred(sum(sK2,n12)))) = sK0
| ~ spl3_17 ),
inference(forward_demodulation,[],[f231,f501]) ).
fof(f501,plain,
( n12 = sK1
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f499,plain,
( spl3_17
<=> n12 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f1477,plain,
( ~ spl3_13
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1476]) ).
fof(f1476,plain,
( $false
| ~ spl3_13
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f1475,f366]) ).
fof(f1475,plain,
( n13 = sK0
| ~ spl3_13
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1474,f413]) ).
fof(f1474,plain,
( sum(n9,n4) = sK0
| ~ spl3_13
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1473,f365]) ).
fof(f1473,plain,
( sum(pred(n10),n4) = sK0
| ~ spl3_13
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1472,f127]) ).
fof(f1472,plain,
( sum(pred(sum(n13,n13)),n4) = sK0
| ~ spl3_13
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1471,f64]) ).
fof(f1471,plain,
( sum(pred(sum(n13,n13)),sum(n12,n8)) = sK0
| ~ spl3_13
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1470,f388]) ).
fof(f1470,plain,
( sum(pred(sum(n13,n13)),sum(n12,pred(n9))) = sK0
| ~ spl3_13
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1469,f133]) ).
fof(f1469,plain,
( sum(pred(sum(n13,n13)),sum(n12,pred(sum(n13,n12)))) = sK0
| ~ spl3_13
| ~ spl3_17 ),
inference(backward_demodulation,[],[f1309,f484]) ).
fof(f1468,plain,
( ~ spl3_4
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1467]) ).
fof(f1467,plain,
( $false
| ~ spl3_4
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f1466,f110]) ).
fof(f1466,plain,
( n7 = sK0
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1465,f252]) ).
fof(f1465,plain,
( sum(n6,n1) = sK0
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1464,f80]) ).
fof(f1464,plain,
( sum(pred(n7),n1) = sK0
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1463,f145]) ).
fof(f1463,plain,
( sum(pred(sum(n10,n13)),n1) = sK0
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1462,f104]) ).
fof(f1462,plain,
( sK0 = sum(pred(sum(n10,n13)),sum(n12,n5))
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1461,f195]) ).
fof(f1461,plain,
( sum(pred(sum(n10,n13)),sum(n12,pred(n6))) = sK0
| ~ spl3_4
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1460,f16]) ).
fof(f1460,plain,
( sum(pred(sum(n10,n13)),sum(n12,pred(sum(n10,n12)))) = sK0
| ~ spl3_4
| ~ spl3_17 ),
inference(backward_demodulation,[],[f1309,f448]) ).
fof(f1454,plain,
( ~ spl3_10
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1453]) ).
fof(f1453,plain,
( $false
| ~ spl3_10
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f1452,f319]) ).
fof(f1452,plain,
( n5 = sK0
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1451,f262]) ).
fof(f1451,plain,
( sum(n13,n8) = sK0
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1450,f250]) ).
fof(f1450,plain,
( sum(pred(n14),n8) = sK0
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1449,f30]) ).
fof(f1449,plain,
( sum(pred(sum(n1,n13)),n8) = sK0
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1448,f361]) ).
fof(f1448,plain,
( sum(pred(sum(n1,n13)),sum(n12,n12)) = sK0
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1447,f95]) ).
fof(f1447,plain,
( sum(pred(sum(n1,n13)),sum(n12,pred(n13))) = sK0
| ~ spl3_10
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1446,f245]) ).
fof(f1446,plain,
( sum(pred(sum(n1,n13)),sum(n12,pred(sum(n1,n12)))) = sK0
| ~ spl3_10
| ~ spl3_17 ),
inference(backward_demodulation,[],[f1309,f472]) ).
fof(f1428,plain,
( ~ spl3_7
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1427]) ).
fof(f1427,plain,
( $false
| ~ spl3_7
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f1426,f176]) ).
fof(f1426,plain,
( n11 = sK0
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1425,f40]) ).
fof(f1425,plain,
( sum(n8,n3) = sK0
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1424,f388]) ).
fof(f1424,plain,
( sum(pred(n9),n3) = sK0
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1423,f12]) ).
fof(f1423,plain,
( sum(pred(sum(n12,n13)),n3) = sK0
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1422,f157]) ).
fof(f1422,plain,
( sum(pred(sum(n12,n13)),sum(n12,n7)) = sK0
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1421,f228]) ).
fof(f1421,plain,
( sum(pred(sum(n12,n13)),sum(n12,pred(n8))) = sK0
| ~ spl3_7
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1420,f361]) ).
fof(f1420,plain,
( sum(pred(sum(n12,n13)),sum(n12,pred(sum(n12,n12)))) = sK0
| ~ spl3_7
| ~ spl3_17 ),
inference(backward_demodulation,[],[f1309,f460]) ).
fof(f1414,plain,
( ~ spl3_9
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1413]) ).
fof(f1413,plain,
( $false
| ~ spl3_9
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f1412,f13]) ).
fof(f1412,plain,
( n9 = sK0
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1411,f340]) ).
fof(f1411,plain,
( sum(n15,n10) = sK0
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1410,f94]) ).
fof(f1410,plain,
( sum(pred(n0),n10) = sK0
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1409,f50]) ).
fof(f1409,plain,
( sum(pred(sum(n3,n13)),n10) = sK0
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1408,f19]) ).
fof(f1408,plain,
( sum(pred(sum(n3,n13)),sum(n12,n14)) = sK0
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1407,f325]) ).
fof(f1407,plain,
( sum(pred(sum(n3,n13)),sum(n12,pred(n15))) = sK0
| ~ spl3_9
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1406,f422]) ).
fof(f1406,plain,
( sum(pred(sum(n3,n13)),sum(n12,pred(sum(n3,n12)))) = sK0
| ~ spl3_9
| ~ spl3_17 ),
inference(backward_demodulation,[],[f1309,f468]) ).
fof(f1398,plain,
( ~ spl3_14
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1397]) ).
fof(f1397,plain,
( $false
| ~ spl3_14
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f1396,f213]) ).
fof(f1396,plain,
( n3 = sK0
| ~ spl3_14
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1395,f157]) ).
fof(f1395,plain,
( sum(n12,n7) = sK0
| ~ spl3_14
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1394,f95]) ).
fof(f1394,plain,
( sum(pred(n13),n7) = sK0
| ~ spl3_14
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1393,f409]) ).
fof(f1393,plain,
( sum(pred(sum(n0,n13)),n7) = sK0
| ~ spl3_14
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1392,f309]) ).
fof(f1392,plain,
( sum(pred(sum(n0,n13)),sum(n12,n11)) = sK0
| ~ spl3_14
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1391,f99]) ).
fof(f1391,plain,
( sum(pred(sum(n0,n13)),sum(n12,pred(n12))) = sK0
| ~ spl3_14
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1390,f38]) ).
fof(f1390,plain,
( sum(pred(sum(n0,n13)),sum(n12,pred(sum(n0,n12)))) = sK0
| ~ spl3_14
| ~ spl3_17 ),
inference(backward_demodulation,[],[f1309,f488]) ).
fof(f1374,plain,
( ~ spl3_6
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1373]) ).
fof(f1373,plain,
( $false
| ~ spl3_6
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f1372,f67]) ).
fof(f1372,plain,
( n1 = sK0
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1371,f100]) ).
fof(f1371,plain,
( sum(n11,n6) = sK0
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1370,f99]) ).
fof(f1370,plain,
( sum(pred(n12),n6) = sK0
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1369,f315]) ).
fof(f1369,plain,
( sum(pred(sum(n15,n13)),n6) = sK0
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1368,f373]) ).
fof(f1368,plain,
( sum(pred(sum(n15,n13)),sum(n12,n10)) = sK0
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1367,f115]) ).
fof(f1367,plain,
( sum(pred(sum(n15,n13)),sum(n12,pred(n11))) = sK0
| ~ spl3_6
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1366,f200]) ).
fof(f1366,plain,
( sum(pred(sum(n15,n13)),sum(n12,pred(sum(n15,n12)))) = sK0
| ~ spl3_6
| ~ spl3_17 ),
inference(backward_demodulation,[],[f1309,f456]) ).
fof(f1360,plain,
( ~ spl3_1
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1359]) ).
fof(f1359,plain,
( $false
| ~ spl3_1
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f1358,f176]) ).
fof(f1358,plain,
( n11 = sK0
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1357,f418]) ).
fof(f1357,plain,
( sum(n0,n11) = sK0
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1356,f406]) ).
fof(f1356,plain,
( sum(pred(n1),n11) = sK0
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1355,f284]) ).
fof(f1355,plain,
( sum(pred(sum(n4,n13)),n11) = sK0
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1354,f223]) ).
fof(f1354,plain,
( sum(pred(sum(n4,n13)),sum(n12,n15)) = sK0
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1353,f94]) ).
fof(f1353,plain,
( sum(pred(sum(n4,n13)),sum(n12,pred(n0))) = sK0
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1352,f310]) ).
fof(f1352,plain,
( sum(pred(sum(n4,n13)),sum(n12,pred(sum(n4,n12)))) = sK0
| ~ spl3_1
| ~ spl3_17 ),
inference(backward_demodulation,[],[f1309,f436]) ).
fof(f1344,plain,
( ~ spl3_8
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1343]) ).
fof(f1343,plain,
( $false
| ~ spl3_8
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f1342,f67]) ).
fof(f1342,plain,
( n1 = sK0
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1341,f341]) ).
fof(f1341,plain,
( sum(n3,n14) = sK0
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1340,f138]) ).
fof(f1340,plain,
( sum(pred(n4),n14) = sK0
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1339,f268]) ).
fof(f1339,plain,
( sum(pred(sum(n7,n13)),n14) = sK0
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1338,f116]) ).
fof(f1338,plain,
( sum(pred(sum(n7,n13)),sum(n12,n2)) = sK0
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1337,f147]) ).
fof(f1337,plain,
( sum(pred(sum(n7,n13)),sum(n12,pred(n3))) = sK0
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1336,f126]) ).
fof(f1336,plain,
( sum(pred(sum(n7,n13)),sum(n12,pred(sum(n7,n12)))) = sK0
| ~ spl3_8
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1309,f464]) ).
fof(f1327,plain,
( ~ spl3_5
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1326]) ).
fof(f1326,plain,
( $false
| ~ spl3_5
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f1325,f366]) ).
fof(f1325,plain,
( n13 = sK0
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1324,f245]) ).
fof(f1324,plain,
( sum(n1,n12) = sK0
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1323,f155]) ).
fof(f1323,plain,
( sum(pred(n2),n12) = sK0
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1322,f364]) ).
fof(f1322,plain,
( sum(pred(sum(n5,n13)),n12) = sK0
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1321,f301]) ).
fof(f1321,plain,
( sum(pred(sum(n5,n13)),sum(n12,n0)) = sK0
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1320,f406]) ).
fof(f1320,plain,
( sum(pred(sum(n5,n13)),sum(n12,pred(n1))) = sK0
| ~ spl3_5
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1319,f303]) ).
fof(f1319,plain,
( sK0 = sum(pred(sum(n5,n13)),sum(n12,pred(sum(n5,n12))))
| ~ spl3_5
| ~ spl3_17 ),
inference(backward_demodulation,[],[f1309,f452]) ).
fof(f1302,plain,
( ~ spl3_15
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1301]) ).
fof(f1301,plain,
( $false
| ~ spl3_15
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f1300,f110]) ).
fof(f1300,plain,
( n7 = sK0
| ~ spl3_15
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1299,f22]) ).
fof(f1299,plain,
( sum(n14,n9) = sK0
| ~ spl3_15
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1298,f325]) ).
fof(f1298,plain,
( sum(pred(n15),n9) = sK0
| ~ spl3_15
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1297,f370]) ).
fof(f1297,plain,
( sum(pred(sum(n2,n13)),n9) = sK0
| ~ spl3_15
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1296,f29]) ).
fof(f1296,plain,
( sum(pred(sum(n2,succ(n12))),n9) = sK0
| ~ spl3_15
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1295,f12]) ).
fof(f1295,plain,
( sum(pred(sum(n2,succ(n12))),sum(n12,n13)) = sK0
| ~ spl3_15
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1294,f250]) ).
fof(f1294,plain,
( sum(pred(sum(n2,succ(n12))),sum(n12,pred(n14))) = sK0
| ~ spl3_15
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1293,f180]) ).
fof(f1293,plain,
( sum(pred(sum(n2,succ(n12))),sum(n12,pred(sum(n2,n12)))) = sK0
| ~ spl3_15
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1254,f492]) ).
fof(f1285,plain,
( ~ spl3_11
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1284]) ).
fof(f1284,plain,
( $false
| ~ spl3_11
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f1283,f319]) ).
fof(f1283,plain,
( n5 = sK0
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1282,f190]) ).
fof(f1282,plain,
( sum(n5,n0) = sK0
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1281,f195]) ).
fof(f1281,plain,
( sum(pred(n6),n0) = sK0
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1280,f58]) ).
fof(f1280,plain,
( sum(pred(sum(n9,n13)),n0) = sK0
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1279,f29]) ).
fof(f1279,plain,
( sum(pred(sum(n9,succ(n12))),n0) = sK0
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1278,f156]) ).
fof(f1278,plain,
( sum(pred(sum(n9,succ(n12))),sum(n12,n4)) = sK0
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1277,f124]) ).
fof(f1277,plain,
( sum(pred(sum(n9,succ(n12))),sum(n12,pred(n5))) = sK0
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1276,f108]) ).
fof(f1276,plain,
( sum(pred(sum(n9,succ(n12))),sum(n12,pred(sum(n9,n12)))) = sK0
| ~ spl3_11
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1254,f476]) ).
fof(f1264,plain,
( ~ spl3_12
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1263]) ).
fof(f1263,plain,
( $false
| ~ spl3_12
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f1262,f251]) ).
fof(f1262,plain,
( n15 = sK0
| ~ spl3_12
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1261,f370]) ).
fof(f1261,plain,
( sum(n2,n13) = sK0
| ~ spl3_12
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1260,f147]) ).
fof(f1260,plain,
( sum(pred(n3),n13) = sK0
| ~ spl3_12
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1259,f15]) ).
fof(f1259,plain,
( sum(pred(sum(n6,n13)),n13) = sK0
| ~ spl3_12
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1258,f29]) ).
fof(f1258,plain,
( sum(pred(sum(n6,succ(n12))),n13) = sK0
| ~ spl3_12
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1257,f233]) ).
fof(f1257,plain,
( sum(pred(sum(n6,succ(n12))),sum(n12,n1)) = sK0
| ~ spl3_12
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1256,f155]) ).
fof(f1256,plain,
( sum(pred(sum(n6,succ(n12))),sum(n12,pred(n2))) = sK0
| ~ spl3_12
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1255,f119]) ).
fof(f1255,plain,
( sum(pred(sum(n6,succ(n12))),sum(n12,pred(sum(n6,n12)))) = sK0
| ~ spl3_12
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1254,f480]) ).
fof(f1245,plain,
( ~ spl3_16
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f1244]) ).
fof(f1244,plain,
( $false
| ~ spl3_16
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f1243,f306]) ).
fof(f1243,plain,
( n8 = sK0
| ~ spl3_16
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1242,f87]) ).
fof(f1242,plain,
( sum(n11,n13) = sK0
| ~ spl3_16
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1241,f99]) ).
fof(f1241,plain,
( sum(pred(n12),n13) = sK0
| ~ spl3_16
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1240,f70]) ).
fof(f1240,plain,
( sum(pred(sum(n8,n4)),n13) = sK0
| ~ spl3_16
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1239,f225]) ).
fof(f1239,plain,
( sK0 = sum(pred(sum(n8,succ(n3))),n13)
| ~ spl3_16
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1238,f11]) ).
fof(f1238,plain,
( sum(pred(sum(n8,succ(n3))),sum(n3,n10)) = sK0
| ~ spl3_16
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1237,f115]) ).
fof(f1237,plain,
( sK0 = sum(pred(sum(n8,succ(n3))),sum(n3,pred(n11)))
| ~ spl3_16
| ~ spl3_30 ),
inference(forward_demodulation,[],[f1236,f40]) ).
fof(f1236,plain,
( sum(pred(sum(n8,succ(n3))),sum(n3,pred(sum(n8,n3)))) = sK0
| ~ spl3_16
| ~ spl3_30 ),
inference(forward_demodulation,[],[f981,f553]) ).
fof(f981,plain,
( sum(pred(sum(n8,succ(sK1))),sum(sK1,pred(sum(n8,sK1)))) = sK0
| ~ spl3_16 ),
inference(forward_demodulation,[],[f231,f496]) ).
fof(f496,plain,
( n8 = sK2
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f494,plain,
( spl3_16
<=> n8 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f1224,plain,
( ~ spl3_16
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f1223]) ).
fof(f1223,plain,
( $false
| ~ spl3_16
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f1222,f67]) ).
fof(f1222,plain,
( n1 = sK0
| ~ spl3_16
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1221,f425]) ).
fof(f1221,plain,
( sum(n14,n3) = sK0
| ~ spl3_16
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1220,f325]) ).
fof(f1220,plain,
( sum(pred(n15),n3) = sK0
| ~ spl3_16
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1219,f336]) ).
fof(f1219,plain,
( sum(pred(sum(n8,n7)),n3) = sK0
| ~ spl3_16
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1218,f76]) ).
fof(f1218,plain,
( sum(pred(sum(n8,succ(n6))),n3) = sK0
| ~ spl3_16
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1217,f15]) ).
fof(f1217,plain,
( sum(pred(sum(n8,succ(n6))),sum(n6,n13)) = sK0
| ~ spl3_16
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1216,f250]) ).
fof(f1216,plain,
( sum(pred(sum(n8,succ(n6))),sum(n6,pred(n14))) = sK0
| ~ spl3_16
| ~ spl3_26 ),
inference(forward_demodulation,[],[f1215,f113]) ).
fof(f1215,plain,
( sum(pred(sum(n8,succ(n6))),sum(n6,pred(sum(n8,n6)))) = sK0
| ~ spl3_16
| ~ spl3_26 ),
inference(forward_demodulation,[],[f981,f537]) ).
fof(f1205,plain,
( ~ spl3_16
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f1204]) ).
fof(f1204,plain,
( $false
| ~ spl3_16
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f1203,f331]) ).
fof(f1203,plain,
( n0 = sK0
| ~ spl3_16
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1202,f50]) ).
fof(f1202,plain,
( sum(n3,n13) = sK0
| ~ spl3_16
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1201,f138]) ).
fof(f1201,plain,
( sum(pred(n4),n13) = sK0
| ~ spl3_16
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1200,f255]) ).
fof(f1200,plain,
( sum(pred(sum(n8,n12)),n13) = sK0
| ~ spl3_16
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1199,f183]) ).
fof(f1199,plain,
( sum(pred(sum(n8,succ(n11))),n13) = sK0
| ~ spl3_16
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1198,f139]) ).
fof(f1198,plain,
( sum(pred(sum(n8,succ(n11))),sum(n11,n2)) = sK0
| ~ spl3_16
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1197,f147]) ).
fof(f1197,plain,
( sum(pred(sum(n8,succ(n11))),sum(n11,pred(n3))) = sK0
| ~ spl3_16
| ~ spl3_20 ),
inference(forward_demodulation,[],[f1196,f320]) ).
fof(f1196,plain,
( sum(pred(sum(n8,succ(n11))),sum(n11,pred(sum(n8,n11)))) = sK0
| ~ spl3_16
| ~ spl3_20 ),
inference(backward_demodulation,[],[f981,f513]) ).
fof(f1189,plain,
( ~ spl3_16
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f1188]) ).
fof(f1188,plain,
( $false
| ~ spl3_16
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f1187,f110]) ).
fof(f1187,plain,
( n7 = sK0
| ~ spl3_16
| ~ spl3_23 ),
inference(forward_demodulation,[],[f1186,f294]) ).
fof(f1186,plain,
( sum(n0,n7) = sK0
| ~ spl3_16
| ~ spl3_23 ),
inference(forward_demodulation,[],[f1185,f406]) ).
fof(f1185,plain,
( sum(pred(n1),n7) = sK0
| ~ spl3_16
| ~ spl3_23 ),
inference(forward_demodulation,[],[f1184,f169]) ).
fof(f1184,plain,
( sum(pred(sum(n8,n9)),n7) = sK0
| ~ spl3_16
| ~ spl3_23 ),
inference(forward_demodulation,[],[f1183,f61]) ).
fof(f1183,plain,
( sum(pred(sum(n8,succ(n8))),n7) = sK0
| ~ spl3_16
| ~ spl3_23 ),
inference(forward_demodulation,[],[f1182,f249]) ).
fof(f1182,plain,
( sum(pred(sum(n8,succ(n8))),sum(n8,n15)) = sK0
| ~ spl3_16
| ~ spl3_23 ),
inference(forward_demodulation,[],[f1181,f94]) ).
fof(f1181,plain,
( sum(pred(sum(n8,succ(n8))),sum(n8,pred(n0))) = sK0
| ~ spl3_16
| ~ spl3_23 ),
inference(forward_demodulation,[],[f1180,f207]) ).
fof(f1180,plain,
( sum(pred(sum(n8,succ(n8))),sum(n8,pred(sum(n8,n8)))) = sK0
| ~ spl3_16
| ~ spl3_23 ),
inference(backward_demodulation,[],[f981,f525]) ).
fof(f1173,plain,
( ~ spl3_16
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f1172]) ).
fof(f1172,plain,
( $false
| ~ spl3_16
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f1171,f234]) ).
fof(f1171,plain,
( n6 = sK0
| ~ spl3_16
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1170,f151]) ).
fof(f1170,plain,
( sum(n5,n1) = sK0
| ~ spl3_16
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1169,f195]) ).
fof(f1169,plain,
( sum(pred(n6),n1) = sK0
| ~ spl3_16
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1168,f387]) ).
fof(f1168,plain,
( sum(pred(sum(n8,n14)),n1) = sK0
| ~ spl3_16
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1167,f335]) ).
fof(f1167,plain,
( sum(pred(sum(n8,succ(n13))),n1) = sK0
| ~ spl3_16
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1166,f242]) ).
fof(f1166,plain,
( sum(pred(sum(n8,succ(n13))),sum(n13,n4)) = sK0
| ~ spl3_16
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1165,f124]) ).
fof(f1165,plain,
( sum(pred(sum(n8,succ(n13))),sum(n13,pred(n5))) = sK0
| ~ spl3_16
| ~ spl3_22 ),
inference(forward_demodulation,[],[f1164,f408]) ).
fof(f1164,plain,
( sum(pred(sum(n8,succ(n13))),sum(n13,pred(sum(n8,n13)))) = sK0
| ~ spl3_16
| ~ spl3_22 ),
inference(backward_demodulation,[],[f981,f521]) ).
fof(f1162,plain,
( ~ spl3_16
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f1161]) ).
fof(f1161,plain,
( $false
| ~ spl3_16
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f1160,f117]) ).
fof(f1160,plain,
( n10 = sK0
| ~ spl3_16
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1159,f359]) ).
fof(f1159,plain,
( sum(n1,n9) = sK0
| ~ spl3_16
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1158,f155]) ).
fof(f1158,plain,
( sum(pred(n2),n9) = sK0
| ~ spl3_16
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1157,f334]) ).
fof(f1157,plain,
( sum(pred(sum(n8,n10)),n9) = sK0
| ~ spl3_16
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1156,f338]) ).
fof(f1156,plain,
( sum(pred(sum(n8,succ(n9))),n9) = sK0
| ~ spl3_16
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1155,f48]) ).
fof(f1155,plain,
( sum(pred(sum(n8,succ(n9))),sum(n9,n0)) = sK0
| ~ spl3_16
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1154,f406]) ).
fof(f1154,plain,
( sum(pred(sum(n8,succ(n9))),sum(n9,pred(n1))) = sK0
| ~ spl3_16
| ~ spl3_28 ),
inference(forward_demodulation,[],[f1153,f169]) ).
fof(f1153,plain,
( sum(pred(sum(n8,succ(n9))),sum(n9,pred(sum(n8,n9)))) = sK0
| ~ spl3_16
| ~ spl3_28 ),
inference(backward_demodulation,[],[f981,f545]) ).
fof(f1142,plain,
( ~ spl3_16
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f1141]) ).
fof(f1141,plain,
( $false
| ~ spl3_16
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f1140,f381]) ).
fof(f1140,plain,
( n4 = sK0
| ~ spl3_16
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1139,f287]) ).
fof(f1139,plain,
( sum(n15,n5) = sK0
| ~ spl3_16
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1138,f94]) ).
fof(f1138,plain,
( sum(pred(n0),n5) = sK0
| ~ spl3_16
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1137,f207]) ).
fof(f1137,plain,
( sum(pred(sum(n8,n8)),n5) = sK0
| ~ spl3_16
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1136,f73]) ).
fof(f1136,plain,
( sum(pred(sum(n8,succ(n7))),n5) = sK0
| ~ spl3_16
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1135,f123]) ).
fof(f1135,plain,
( sum(pred(sum(n8,succ(n7))),sum(n7,n14)) = sK0
| ~ spl3_16
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1134,f325]) ).
fof(f1134,plain,
( sum(pred(sum(n8,succ(n7))),sum(n7,pred(n15))) = sK0
| ~ spl3_16
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1133,f336]) ).
fof(f1133,plain,
( sum(pred(sum(n8,succ(n7))),sum(n7,pred(sum(n8,n7)))) = sK0
| ~ spl3_16
| ~ spl3_27 ),
inference(backward_demodulation,[],[f981,f541]) ).
fof(f1127,plain,
( ~ spl3_16
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f1126]) ).
fof(f1126,plain,
( $false
| ~ spl3_16
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f1125,f319]) ).
fof(f1125,plain,
( n5 = sK0
| ~ spl3_16
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1124,f389]) ).
fof(f1124,plain,
( sum(n10,n11) = sK0
| ~ spl3_16
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1123,f115]) ).
fof(f1123,plain,
( sum(pred(n11),n11) = sK0
| ~ spl3_16
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1122,f40]) ).
fof(f1122,plain,
( sum(pred(sum(n8,n3)),n11) = sK0
| ~ spl3_16
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1121,f240]) ).
fof(f1121,plain,
( sum(pred(sum(n8,succ(n2))),n11) = sK0
| ~ spl3_16
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1120,f382]) ).
fof(f1120,plain,
( sum(pred(sum(n8,succ(n2))),sum(n2,n9)) = sK0
| ~ spl3_16
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1119,f365]) ).
fof(f1119,plain,
( sum(pred(sum(n8,succ(n2))),sum(n2,pred(n10))) = sK0
| ~ spl3_16
| ~ spl3_19 ),
inference(forward_demodulation,[],[f1118,f101]) ).
fof(f1118,plain,
( sum(pred(sum(n8,succ(n2))),sum(n2,pred(sum(n8,n2)))) = sK0
| ~ spl3_16
| ~ spl3_19 ),
inference(forward_demodulation,[],[f981,f509]) ).
fof(f1105,plain,
( ~ spl3_16
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f1104]) ).
fof(f1104,plain,
( $false
| ~ spl3_16
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f1103,f13]) ).
fof(f1103,plain,
( n9 = sK0
| ~ spl3_16
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1102,f244]) ).
fof(f1102,plain,
( sum(n6,n3) = sK0
| ~ spl3_16
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1101,f80]) ).
fof(f1101,plain,
( sum(pred(n7),n3) = sK0
| ~ spl3_16
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1100,f249]) ).
fof(f1100,plain,
( sum(pred(sum(n8,n15)),n3) = sK0
| ~ spl3_16
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1099,f357]) ).
fof(f1099,plain,
( sum(pred(sum(n8,succ(n14))),n3) = sK0
| ~ spl3_16
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1098,f18]) ).
fof(f1098,plain,
( sum(pred(sum(n8,succ(n14))),sum(n14,n5)) = sK0
| ~ spl3_16
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1097,f195]) ).
fof(f1097,plain,
( sum(pred(sum(n8,succ(n14))),sum(n14,pred(n6))) = sK0
| ~ spl3_16
| ~ spl3_18 ),
inference(forward_demodulation,[],[f1096,f387]) ).
fof(f1096,plain,
( sum(pred(sum(n8,succ(n14))),sum(n14,pred(sum(n8,n14)))) = sK0
| ~ spl3_16
| ~ spl3_18 ),
inference(forward_demodulation,[],[f981,f505]) ).
fof(f1087,plain,
( ~ spl3_16
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f1086]) ).
fof(f1086,plain,
( $false
| ~ spl3_16
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f1085,f251]) ).
fof(f1085,plain,
( n15 = sK0
| ~ spl3_16
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1084,f336]) ).
fof(f1084,plain,
( sum(n8,n7) = sK0
| ~ spl3_16
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1083,f388]) ).
fof(f1083,plain,
( sK0 = sum(pred(n9),n7)
| ~ spl3_16
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1082,f186]) ).
fof(f1082,plain,
( sK0 = sum(pred(sum(n8,n1)),n7)
| ~ spl3_16
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1081,f329]) ).
fof(f1081,plain,
( sum(pred(sum(n8,succ(n0))),n7) = sK0
| ~ spl3_16
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1080,f294]) ).
fof(f1080,plain,
( sum(pred(sum(n8,succ(n0))),sum(n0,n7)) = sK0
| ~ spl3_16
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1079,f228]) ).
fof(f1079,plain,
( sum(pred(sum(n8,succ(n0))),sum(n0,pred(n8))) = sK0
| ~ spl3_16
| ~ spl3_32 ),
inference(forward_demodulation,[],[f1078,f122]) ).
fof(f1078,plain,
( sum(pred(sum(n8,succ(n0))),sum(n0,pred(sum(n8,n0)))) = sK0
| ~ spl3_16
| ~ spl3_32 ),
inference(forward_demodulation,[],[f981,f561]) ).
fof(f1069,plain,
( ~ spl3_16
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f1068]) ).
fof(f1068,plain,
( $false
| ~ spl3_16
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f1067,f176]) ).
fof(f1067,plain,
( n11 = sK0
| ~ spl3_16
| ~ spl3_24 ),
inference(forward_demodulation,[],[f1066,f223]) ).
fof(f1066,plain,
( sum(n12,n15) = sK0
| ~ spl3_16
| ~ spl3_24 ),
inference(forward_demodulation,[],[f1065,f95]) ).
fof(f1065,plain,
( sum(pred(n13),n15) = sK0
| ~ spl3_16
| ~ spl3_24 ),
inference(forward_demodulation,[],[f1064,f9]) ).
fof(f1064,plain,
( sum(pred(sum(n8,n5)),n15) = sK0
| ~ spl3_16
| ~ spl3_24 ),
inference(forward_demodulation,[],[f1063,f74]) ).
fof(f1063,plain,
( sum(pred(sum(n8,succ(n4))),n15) = sK0
| ~ spl3_16
| ~ spl3_24 ),
inference(forward_demodulation,[],[f1062,f8]) ).
fof(f1062,plain,
( sum(pred(sum(n8,succ(n4))),sum(n4,n11)) = sK0
| ~ spl3_16
| ~ spl3_24 ),
inference(forward_demodulation,[],[f1061,f99]) ).
fof(f1061,plain,
( sum(pred(sum(n8,succ(n4))),sum(n4,pred(n12))) = sK0
| ~ spl3_16
| ~ spl3_24 ),
inference(forward_demodulation,[],[f1060,f70]) ).
fof(f1060,plain,
( sum(pred(sum(n8,succ(n4))),sum(n4,pred(sum(n8,n4)))) = sK0
| ~ spl3_16
| ~ spl3_24 ),
inference(forward_demodulation,[],[f981,f529]) ).
fof(f1047,plain,
( ~ spl3_16
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1046]) ).
fof(f1046,plain,
( $false
| ~ spl3_16
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f1045,f213]) ).
fof(f1045,plain,
( n3 = sK0
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1044,f36]) ).
fof(f1044,plain,
( sum(n4,n15) = sK0
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1043,f124]) ).
fof(f1043,plain,
( sum(pred(n5),n15) = sK0
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1042,f408]) ).
fof(f1042,plain,
( sum(pred(sum(n8,n13)),n15) = sK0
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1041,f29]) ).
fof(f1041,plain,
( sum(pred(sum(n8,succ(n12))),n15) = sK0
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1040,f230]) ).
fof(f1040,plain,
( sum(pred(sum(n8,succ(n12))),sum(n12,n3)) = sK0
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1039,f138]) ).
fof(f1039,plain,
( sum(pred(sum(n8,succ(n12))),sum(n12,pred(n4))) = sK0
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f1038,f255]) ).
fof(f1038,plain,
( sum(pred(sum(n8,succ(n12))),sum(n12,pred(sum(n8,n12)))) = sK0
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f981,f501]) ).
fof(f1035,plain,
( ~ spl3_16
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f1034]) ).
fof(f1034,plain,
( $false
| ~ spl3_16
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f1033,f383]) ).
fof(f1033,plain,
( n12 = sK0
| ~ spl3_16
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1032,f56]) ).
fof(f1032,plain,
( sum(n7,n5) = sK0
| ~ spl3_16
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1031,f228]) ).
fof(f1031,plain,
( sum(pred(n8),n5) = sK0
| ~ spl3_16
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1030,f122]) ).
fof(f1030,plain,
( sum(pred(sum(n8,n0)),n5) = sK0
| ~ spl3_16
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1029,f208]) ).
fof(f1029,plain,
( sum(pred(sum(n8,succ(n15))),n5) = sK0
| ~ spl3_16
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1028,f6]) ).
fof(f1028,plain,
( sum(pred(sum(n8,succ(n15))),sum(n15,n6)) = sK0
| ~ spl3_16
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1027,f80]) ).
fof(f1027,plain,
( sum(pred(sum(n8,succ(n15))),sum(n15,pred(n7))) = sK0
| ~ spl3_16
| ~ spl3_29 ),
inference(forward_demodulation,[],[f1026,f249]) ).
fof(f1026,plain,
( sum(pred(sum(n8,succ(n15))),sum(n15,pred(sum(n8,n15)))) = sK0
| ~ spl3_16
| ~ spl3_29 ),
inference(backward_demodulation,[],[f981,f549]) ).
fof(f1024,plain,
( ~ spl3_16
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f1023]) ).
fof(f1023,plain,
( $false
| ~ spl3_16
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f1022,f322]) ).
fof(f1022,plain,
( n2 = sK0
| ~ spl3_16
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1021,f217]) ).
fof(f1021,plain,
( sum(n9,n9) = sK0
| ~ spl3_16
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1020,f365]) ).
fof(f1020,plain,
( sum(pred(n10),n9) = sK0
| ~ spl3_16
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1019,f101]) ).
fof(f1019,plain,
( sum(pred(sum(n8,n2)),n9) = sK0
| ~ spl3_16
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1018,f205]) ).
fof(f1018,plain,
( sK0 = sum(pred(sum(n8,succ(n1))),n9)
| ~ spl3_16
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1017,f416]) ).
fof(f1017,plain,
( sum(pred(sum(n8,succ(n1))),sum(n1,n8)) = sK0
| ~ spl3_16
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1016,f388]) ).
fof(f1016,plain,
( sum(pred(sum(n8,succ(n1))),sum(n1,pred(n9))) = sK0
| ~ spl3_16
| ~ spl3_21 ),
inference(forward_demodulation,[],[f1015,f186]) ).
fof(f1015,plain,
( sum(pred(sum(n8,succ(n1))),sum(n1,pred(sum(n8,n1)))) = sK0
| ~ spl3_16
| ~ spl3_21 ),
inference(backward_demodulation,[],[f981,f517]) ).
fof(f997,plain,
( ~ spl3_16
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f996]) ).
fof(f996,plain,
( $false
| ~ spl3_16
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f995,f220]) ).
fof(f995,plain,
( n14 = sK0
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f994,f172]) ).
fof(f994,plain,
( sum(n13,n1) = sK0
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f993,f250]) ).
fof(f993,plain,
( sK0 = sum(pred(n14),n1)
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f992,f113]) ).
fof(f992,plain,
( sum(pred(sum(n8,n6)),n1) = sK0
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f991,f161]) ).
fof(f991,plain,
( sum(pred(sum(n8,succ(n5))),n1) = sK0
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f990,f303]) ).
fof(f990,plain,
( sum(pred(sum(n8,succ(n5))),sum(n5,n12)) = sK0
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f989,f95]) ).
fof(f989,plain,
( sum(pred(sum(n8,succ(n5))),sum(n5,pred(n13))) = sK0
| ~ spl3_16
| ~ spl3_25 ),
inference(forward_demodulation,[],[f988,f9]) ).
fof(f988,plain,
( sum(pred(sum(n8,succ(n5))),sum(n5,pred(sum(n8,n5)))) = sK0
| ~ spl3_16
| ~ spl3_25 ),
inference(backward_demodulation,[],[f981,f533]) ).
fof(f979,plain,
( ~ spl3_16
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f978]) ).
fof(f978,plain,
( $false
| ~ spl3_16
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f977,f366]) ).
fof(f977,plain,
( n13 = sK0
| ~ spl3_16
| ~ spl3_31 ),
inference(forward_demodulation,[],[f976,f375]) ).
fof(f976,plain,
( sum(n2,n11) = sK0
| ~ spl3_16
| ~ spl3_31 ),
inference(forward_demodulation,[],[f975,f147]) ).
fof(f975,plain,
( sK0 = sum(pred(n3),n11)
| ~ spl3_16
| ~ spl3_31 ),
inference(forward_demodulation,[],[f974,f320]) ).
fof(f974,plain,
( sum(pred(sum(n8,n11)),n11) = sK0
| ~ spl3_16
| ~ spl3_31 ),
inference(forward_demodulation,[],[f973,f31]) ).
fof(f973,plain,
( sum(pred(sum(n8,n11)),sum(n10,n1)) = sK0
| ~ spl3_16
| ~ spl3_31 ),
inference(forward_demodulation,[],[f972,f155]) ).
fof(f972,plain,
( sum(pred(sum(n8,n11)),sum(n10,pred(n2))) = sK0
| ~ spl3_16
| ~ spl3_31 ),
inference(forward_demodulation,[],[f971,f334]) ).
fof(f971,plain,
( sum(pred(sum(n8,n11)),sum(n10,pred(sum(n8,n10)))) = sK0
| ~ spl3_16
| ~ spl3_31 ),
inference(backward_demodulation,[],[f810,f496]) ).
fof(f810,plain,
( sum(pred(sum(sK2,n11)),sum(n10,pred(sum(sK2,n10)))) = sK0
| ~ spl3_31 ),
inference(forward_demodulation,[],[f799,f348]) ).
fof(f348,plain,
succ(n10) = n11,
inference(cnf_transformation,[],[f5]) ).
fof(f799,plain,
( sum(pred(sum(sK2,succ(n10))),sum(n10,pred(sum(sK2,n10)))) = sK0
| ~ spl3_31 ),
inference(forward_demodulation,[],[f231,f557]) ).
fof(f557,plain,
( n10 = sK1
| ~ spl3_31 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f555,plain,
( spl3_31
<=> n10 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_31])]) ).
fof(f963,plain,
( ~ spl3_13
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f962]) ).
fof(f962,plain,
( $false
| ~ spl3_13
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f961,f110]) ).
fof(f961,plain,
( n7 = sK0
| ~ spl3_13
| ~ spl3_31 ),
inference(forward_demodulation,[],[f960,f402]) ).
fof(f960,plain,
( sum(n7,n0) = sK0
| ~ spl3_13
| ~ spl3_31 ),
inference(forward_demodulation,[],[f959,f228]) ).
fof(f959,plain,
( sum(pred(n8),n0) = sK0
| ~ spl3_13
| ~ spl3_31 ),
inference(forward_demodulation,[],[f958,f128]) ).
fof(f958,plain,
( sum(pred(sum(n13,n11)),n0) = sK0
| ~ spl3_13
| ~ spl3_31 ),
inference(forward_demodulation,[],[f957,f218]) ).
fof(f957,plain,
( sum(pred(sum(n13,n11)),sum(n10,n6)) = sK0
| ~ spl3_13
| ~ spl3_31 ),
inference(forward_demodulation,[],[f956,f80]) ).
fof(f956,plain,
( sum(pred(sum(n13,n11)),sum(n10,pred(n7))) = sK0
| ~ spl3_13
| ~ spl3_31 ),
inference(forward_demodulation,[],[f955,f414]) ).
fof(f955,plain,
( sum(pred(sum(n13,n11)),sum(n10,pred(sum(n13,n10)))) = sK0
| ~ spl3_13
| ~ spl3_31 ),
inference(backward_demodulation,[],[f810,f484]) ).
fof(f952,plain,
( ~ spl3_3
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f951]) ).
fof(f951,plain,
( $false
| ~ spl3_3
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f950,f13]) ).
fof(f950,plain,
( n9 = sK0
| ~ spl3_3
| ~ spl3_31 ),
inference(forward_demodulation,[],[f949,f186]) ).
fof(f949,plain,
( sum(n8,n1) = sK0
| ~ spl3_3
| ~ spl3_31 ),
inference(forward_demodulation,[],[f948,f388]) ).
fof(f948,plain,
( sum(pred(n9),n1) = sK0
| ~ spl3_3
| ~ spl3_31 ),
inference(forward_demodulation,[],[f947,f37]) ).
fof(f947,plain,
( sum(pred(sum(n14,n11)),n1) = sK0
| ~ spl3_3
| ~ spl3_31 ),
inference(forward_demodulation,[],[f946,f162]) ).
fof(f946,plain,
( sum(pred(sum(n14,n11)),sum(n10,n7)) = sK0
| ~ spl3_3
| ~ spl3_31 ),
inference(forward_demodulation,[],[f945,f228]) ).
fof(f945,plain,
( sum(pred(sum(n14,n11)),sum(n10,pred(n8))) = sK0
| ~ spl3_3
| ~ spl3_31 ),
inference(forward_demodulation,[],[f944,f204]) ).
fof(f944,plain,
( sum(pred(sum(n14,n11)),sum(n10,pred(sum(n14,n10)))) = sK0
| ~ spl3_3
| ~ spl3_31 ),
inference(backward_demodulation,[],[f810,f444]) ).
fof(f942,plain,
( ~ spl3_1
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f941]) ).
fof(f941,plain,
( $false
| ~ spl3_1
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f940,f319]) ).
fof(f940,plain,
( n5 = sK0
| ~ spl3_1
| ~ spl3_31 ),
inference(forward_demodulation,[],[f939,f400]) ).
fof(f939,plain,
( sum(n14,n7) = sK0
| ~ spl3_1
| ~ spl3_31 ),
inference(forward_demodulation,[],[f938,f325]) ).
fof(f938,plain,
( sum(pred(n15),n7) = sK0
| ~ spl3_1
| ~ spl3_31 ),
inference(forward_demodulation,[],[f937,f8]) ).
fof(f937,plain,
( sum(pred(sum(n4,n11)),n7) = sK0
| ~ spl3_1
| ~ spl3_31 ),
inference(forward_demodulation,[],[f936,f145]) ).
fof(f936,plain,
( sum(pred(sum(n4,n11)),sum(n10,n13)) = sK0
| ~ spl3_1
| ~ spl3_31 ),
inference(forward_demodulation,[],[f935,f250]) ).
fof(f935,plain,
( sum(pred(sum(n4,n11)),sum(n10,pred(n14))) = sK0
| ~ spl3_1
| ~ spl3_31 ),
inference(forward_demodulation,[],[f934,f150]) ).
fof(f934,plain,
( sum(pred(sum(n4,n11)),sum(n10,pred(sum(n4,n10)))) = sK0
| ~ spl3_1
| ~ spl3_31 ),
inference(backward_demodulation,[],[f810,f436]) ).
fof(f923,plain,
( ~ spl3_4
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f922]) ).
fof(f922,plain,
( $false
| ~ spl3_4
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f921,f67]) ).
fof(f921,plain,
( n1 = sK0
| ~ spl3_4
| ~ spl3_31 ),
inference(forward_demodulation,[],[f920,f284]) ).
fof(f920,plain,
( sum(n4,n13) = sK0
| ~ spl3_4
| ~ spl3_31 ),
inference(forward_demodulation,[],[f919,f124]) ).
fof(f919,plain,
( sum(pred(n5),n13) = sK0
| ~ spl3_4
| ~ spl3_31 ),
inference(forward_demodulation,[],[f918,f389]) ).
fof(f918,plain,
( sum(pred(sum(n10,n11)),n13) = sK0
| ~ spl3_4
| ~ spl3_31 ),
inference(forward_demodulation,[],[f917,f298]) ).
fof(f917,plain,
( sum(pred(sum(n10,n11)),sum(n10,n3)) = sK0
| ~ spl3_4
| ~ spl3_31 ),
inference(forward_demodulation,[],[f916,f138]) ).
fof(f916,plain,
( sum(pred(sum(n10,n11)),sum(n10,pred(n4))) = sK0
| ~ spl3_4
| ~ spl3_31 ),
inference(forward_demodulation,[],[f915,f7]) ).
fof(f915,plain,
( sum(pred(sum(n10,n11)),sum(n10,pred(sum(n10,n10)))) = sK0
| ~ spl3_4
| ~ spl3_31 ),
inference(forward_demodulation,[],[f810,f448]) ).
fof(f914,plain,
( ~ spl3_8
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f913]) ).
fof(f913,plain,
( $false
| ~ spl3_8
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f912,f176]) ).
fof(f912,plain,
( n11 = sK0
| ~ spl3_8
| ~ spl3_31 ),
inference(forward_demodulation,[],[f911,f292]) ).
fof(f911,plain,
( sum(n1,n10) = sK0
| ~ spl3_8
| ~ spl3_31 ),
inference(forward_demodulation,[],[f910,f155]) ).
fof(f910,plain,
( sum(pred(n2),n10) = sK0
| ~ spl3_8
| ~ spl3_31 ),
inference(forward_demodulation,[],[f909,f62]) ).
fof(f909,plain,
( sum(pred(sum(n7,n11)),n10) = sK0
| ~ spl3_8
| ~ spl3_31 ),
inference(forward_demodulation,[],[f908,f266]) ).
fof(f908,plain,
( sum(pred(sum(n7,n11)),sum(n10,n0)) = sK0
| ~ spl3_8
| ~ spl3_31 ),
inference(forward_demodulation,[],[f907,f406]) ).
fof(f907,plain,
( sum(pred(sum(n7,n11)),sum(n10,pred(n1))) = sK0
| ~ spl3_8
| ~ spl3_31 ),
inference(forward_demodulation,[],[f906,f93]) ).
fof(f906,plain,
( sum(pred(sum(n7,n11)),sum(n10,pred(sum(n7,n10)))) = sK0
| ~ spl3_8
| ~ spl3_31 ),
inference(forward_demodulation,[],[f810,f464]) ).
fof(f901,plain,
( ~ spl3_6
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f900]) ).
fof(f900,plain,
( $false
| ~ spl3_6
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f899,f176]) ).
fof(f899,plain,
( n11 = sK0
| ~ spl3_6
| ~ spl3_31 ),
inference(forward_demodulation,[],[f898,f47]) ).
fof(f898,plain,
( sum(n9,n2) = sK0
| ~ spl3_6
| ~ spl3_31 ),
inference(forward_demodulation,[],[f897,f365]) ).
fof(f897,plain,
( sum(pred(n10),n2) = sK0
| ~ spl3_6
| ~ spl3_31 ),
inference(forward_demodulation,[],[f896,f170]) ).
fof(f896,plain,
( sum(pred(sum(n15,n11)),n2) = sK0
| ~ spl3_6
| ~ spl3_31 ),
inference(forward_demodulation,[],[f895,f308]) ).
fof(f895,plain,
( sum(pred(sum(n15,n11)),sum(n10,n8)) = sK0
| ~ spl3_6
| ~ spl3_31 ),
inference(forward_demodulation,[],[f894,f388]) ).
fof(f894,plain,
( sum(pred(sum(n15,n11)),sum(n10,pred(n9))) = sK0
| ~ spl3_6
| ~ spl3_31 ),
inference(forward_demodulation,[],[f893,f340]) ).
fof(f893,plain,
( sum(pred(sum(n15,n11)),sum(n10,pred(sum(n15,n10)))) = sK0
| ~ spl3_6
| ~ spl3_31 ),
inference(backward_demodulation,[],[f810,f456]) ).
fof(f891,plain,
( ~ spl3_12
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f890]) ).
fof(f890,plain,
( $false
| ~ spl3_12
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f889,f13]) ).
fof(f889,plain,
( n9 = sK0
| ~ spl3_12
| ~ spl3_31 ),
inference(forward_demodulation,[],[f888,f384]) ).
fof(f888,plain,
( sum(n0,n9) = sK0
| ~ spl3_12
| ~ spl3_31 ),
inference(forward_demodulation,[],[f887,f406]) ).
fof(f887,plain,
( sum(pred(n1),n9) = sK0
| ~ spl3_12
| ~ spl3_31 ),
inference(forward_demodulation,[],[f886,f159]) ).
fof(f886,plain,
( sum(pred(sum(n6,n11)),n9) = sK0
| ~ spl3_12
| ~ spl3_31 ),
inference(forward_demodulation,[],[f885,f197]) ).
fof(f885,plain,
( sum(pred(sum(n6,n11)),sum(n10,n15)) = sK0
| ~ spl3_12
| ~ spl3_31 ),
inference(forward_demodulation,[],[f884,f94]) ).
fof(f884,plain,
( sum(pred(sum(n6,n11)),sum(n10,pred(n0))) = sK0
| ~ spl3_12
| ~ spl3_31 ),
inference(forward_demodulation,[],[f883,f295]) ).
fof(f883,plain,
( sum(pred(sum(n6,n11)),sum(n10,pred(sum(n6,n10)))) = sK0
| ~ spl3_12
| ~ spl3_31 ),
inference(backward_demodulation,[],[f810,f480]) ).
fof(f880,plain,
( ~ spl3_5
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f879]) ).
fof(f879,plain,
( $false
| ~ spl3_5
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f878,f110]) ).
fof(f878,plain,
( n7 = sK0
| ~ spl3_5
| ~ spl3_31 ),
inference(forward_demodulation,[],[f877,f34]) ).
fof(f877,plain,
( sum(n15,n8) = sK0
| ~ spl3_5
| ~ spl3_31 ),
inference(forward_demodulation,[],[f876,f94]) ).
fof(f876,plain,
( sum(pred(n0),n8) = sK0
| ~ spl3_5
| ~ spl3_31 ),
inference(forward_demodulation,[],[f875,f404]) ).
fof(f875,plain,
( sum(pred(sum(n5,n11)),n8) = sK0
| ~ spl3_5
| ~ spl3_31 ),
inference(forward_demodulation,[],[f874,f174]) ).
fof(f874,plain,
( sum(pred(sum(n5,n11)),sum(n10,n14)) = sK0
| ~ spl3_5
| ~ spl3_31 ),
inference(forward_demodulation,[],[f873,f325]) ).
fof(f873,plain,
( sum(pred(sum(n5,n11)),sum(n10,pred(n15))) = sK0
| ~ spl3_5
| ~ spl3_31 ),
inference(forward_demodulation,[],[f872,f39]) ).
fof(f872,plain,
( sum(pred(sum(n5,n11)),sum(n10,pred(sum(n5,n10)))) = sK0
| ~ spl3_5
| ~ spl3_31 ),
inference(forward_demodulation,[],[f810,f452]) ).
fof(f863,plain,
( ~ spl3_10
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f862]) ).
fof(f862,plain,
( $false
| ~ spl3_10
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f861,f251]) ).
fof(f861,plain,
( n15 = sK0
| ~ spl3_10
| ~ spl3_31 ),
inference(forward_demodulation,[],[f860,f125]) ).
fof(f860,plain,
( sum(n11,n4) = sK0
| ~ spl3_10
| ~ spl3_31 ),
inference(forward_demodulation,[],[f859,f99]) ).
fof(f859,plain,
( sum(pred(n12),n4) = sK0
| ~ spl3_10
| ~ spl3_31 ),
inference(forward_demodulation,[],[f858,f289]) ).
fof(f858,plain,
( sum(pred(sum(n1,n11)),n4) = sK0
| ~ spl3_10
| ~ spl3_31 ),
inference(forward_demodulation,[],[f857,f7]) ).
fof(f857,plain,
( sum(pred(sum(n1,n11)),sum(n10,n10)) = sK0
| ~ spl3_10
| ~ spl3_31 ),
inference(forward_demodulation,[],[f856,f115]) ).
fof(f856,plain,
( sum(pred(sum(n1,n11)),sum(n10,pred(n11))) = sK0
| ~ spl3_10
| ~ spl3_31 ),
inference(forward_demodulation,[],[f855,f292]) ).
fof(f855,plain,
( sum(pred(sum(n1,n11)),sum(n10,pred(sum(n1,n10)))) = sK0
| ~ spl3_10
| ~ spl3_31 ),
inference(forward_demodulation,[],[f810,f472]) ).
fof(f853,plain,
( ~ spl3_15
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f852]) ).
fof(f852,plain,
( $false
| ~ spl3_15
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f851,f67]) ).
fof(f851,plain,
( n1 = sK0
| ~ spl3_15
| ~ spl3_31 ),
inference(forward_demodulation,[],[f850,f104]) ).
fof(f850,plain,
( sum(n12,n5) = sK0
| ~ spl3_15
| ~ spl3_31 ),
inference(forward_demodulation,[],[f849,f95]) ).
fof(f849,plain,
( sum(pred(n13),n5) = sK0
| ~ spl3_15
| ~ spl3_31 ),
inference(forward_demodulation,[],[f848,f375]) ).
fof(f848,plain,
( sum(pred(sum(n2,n11)),n5) = sK0
| ~ spl3_15
| ~ spl3_31 ),
inference(forward_demodulation,[],[f847,f389]) ).
fof(f847,plain,
( sum(pred(sum(n2,n11)),sum(n10,n11)) = sK0
| ~ spl3_15
| ~ spl3_31 ),
inference(forward_demodulation,[],[f846,f99]) ).
fof(f846,plain,
( sum(pred(sum(n2,n11)),sum(n10,pred(n12))) = sK0
| ~ spl3_15
| ~ spl3_31 ),
inference(forward_demodulation,[],[f845,f35]) ).
fof(f845,plain,
( sum(pred(sum(n2,n11)),sum(n10,pred(sum(n2,n10)))) = sK0
| ~ spl3_15
| ~ spl3_31 ),
inference(forward_demodulation,[],[f810,f492]) ).
fof(f841,plain,
( ~ spl3_9
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f840]) ).
fof(f840,plain,
( $false
| ~ spl3_9
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f839,f213]) ).
fof(f839,plain,
( n3 = sK0
| ~ spl3_9
| ~ spl3_31 ),
inference(forward_demodulation,[],[f838,f160]) ).
fof(f838,plain,
( sum(n13,n6) = sK0
| ~ spl3_9
| ~ spl3_31 ),
inference(forward_demodulation,[],[f837,f250]) ).
fof(f837,plain,
( sum(pred(n14),n6) = sK0
| ~ spl3_9
| ~ spl3_31 ),
inference(forward_demodulation,[],[f836,f193]) ).
fof(f836,plain,
( sum(pred(sum(n3,n11)),n6) = sK0
| ~ spl3_9
| ~ spl3_31 ),
inference(forward_demodulation,[],[f835,f16]) ).
fof(f835,plain,
( sum(pred(sum(n3,n11)),sum(n10,n12)) = sK0
| ~ spl3_9
| ~ spl3_31 ),
inference(forward_demodulation,[],[f834,f95]) ).
fof(f834,plain,
( sum(pred(sum(n3,n11)),sum(n10,pred(n13))) = sK0
| ~ spl3_9
| ~ spl3_31 ),
inference(forward_demodulation,[],[f830,f11]) ).
fof(f830,plain,
( sum(pred(sum(n3,n11)),sum(n10,pred(sum(n3,n10)))) = sK0
| ~ spl3_9
| ~ spl3_31 ),
inference(backward_demodulation,[],[f810,f468]) ).
fof(f829,plain,
( ~ spl3_7
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f828]) ).
fof(f828,plain,
( $false
| ~ spl3_7
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f827,f319]) ).
fof(f827,plain,
( n5 = sK0
| ~ spl3_7
| ~ spl3_31 ),
inference(forward_demodulation,[],[f826,f271]) ).
fof(f826,plain,
( sum(n6,n15) = sK0
| ~ spl3_7
| ~ spl3_31 ),
inference(forward_demodulation,[],[f825,f80]) ).
fof(f825,plain,
( sum(pred(n7),n15) = sK0
| ~ spl3_7
| ~ spl3_31 ),
inference(forward_demodulation,[],[f824,f309]) ).
fof(f824,plain,
( sum(pred(sum(n12,n11)),n15) = sK0
| ~ spl3_7
| ~ spl3_31 ),
inference(forward_demodulation,[],[f823,f353]) ).
fof(f823,plain,
( sum(pred(sum(n12,n11)),sum(n10,n5)) = sK0
| ~ spl3_7
| ~ spl3_31 ),
inference(forward_demodulation,[],[f822,f195]) ).
fof(f822,plain,
( sum(pred(sum(n12,n11)),sum(n10,pred(n6))) = sK0
| ~ spl3_7
| ~ spl3_31 ),
inference(forward_demodulation,[],[f821,f373]) ).
fof(f821,plain,
( sum(pred(sum(n12,n11)),sum(n10,pred(sum(n12,n10)))) = sK0
| ~ spl3_7
| ~ spl3_31 ),
inference(backward_demodulation,[],[f810,f460]) ).
fof(f819,plain,
( ~ spl3_11
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f818]) ).
fof(f818,plain,
( $false
| ~ spl3_11
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f817,f251]) ).
fof(f817,plain,
( n15 = sK0
| ~ spl3_11
| ~ spl3_31 ),
inference(forward_demodulation,[],[f816,f422]) ).
fof(f816,plain,
( sum(n3,n12) = sK0
| ~ spl3_11
| ~ spl3_31 ),
inference(forward_demodulation,[],[f815,f138]) ).
fof(f815,plain,
( sum(pred(n4),n12) = sK0
| ~ spl3_11
| ~ spl3_31 ),
inference(forward_demodulation,[],[f814,f374]) ).
fof(f814,plain,
( sum(pred(sum(n9,n11)),n12) = sK0
| ~ spl3_11
| ~ spl3_31 ),
inference(forward_demodulation,[],[f813,f71]) ).
fof(f813,plain,
( sum(pred(sum(n9,n11)),sum(n10,n2)) = sK0
| ~ spl3_11
| ~ spl3_31 ),
inference(forward_demodulation,[],[f812,f147]) ).
fof(f812,plain,
( sum(pred(sum(n9,n11)),sum(n10,pred(n3))) = sK0
| ~ spl3_11
| ~ spl3_31 ),
inference(forward_demodulation,[],[f811,f25]) ).
fof(f811,plain,
( sum(pred(sum(n9,n11)),sum(n10,pred(sum(n9,n10)))) = sK0
| ~ spl3_11
| ~ spl3_31 ),
inference(backward_demodulation,[],[f810,f476]) ).
fof(f809,plain,
( ~ spl3_14
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f808]) ).
fof(f808,plain,
( $false
| ~ spl3_14
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f807,f366]) ).
fof(f807,plain,
( n13 = sK0
| ~ spl3_14
| ~ spl3_31 ),
inference(forward_demodulation,[],[f806,f298]) ).
fof(f806,plain,
( sum(n10,n3) = sK0
| ~ spl3_14
| ~ spl3_31 ),
inference(forward_demodulation,[],[f805,f115]) ).
fof(f805,plain,
( sum(pred(n11),n3) = sK0
| ~ spl3_14
| ~ spl3_31 ),
inference(forward_demodulation,[],[f804,f418]) ).
fof(f804,plain,
( sum(pred(sum(n0,n11)),n3) = sK0
| ~ spl3_14
| ~ spl3_31 ),
inference(forward_demodulation,[],[f803,f348]) ).
fof(f803,plain,
( sum(pred(sum(n0,succ(n10))),n3) = sK0
| ~ spl3_14
| ~ spl3_31 ),
inference(forward_demodulation,[],[f802,f280]) ).
fof(f802,plain,
( sum(pred(sum(n0,succ(n10))),sum(n10,n9)) = sK0
| ~ spl3_14
| ~ spl3_31 ),
inference(forward_demodulation,[],[f801,f365]) ).
fof(f801,plain,
( sum(pred(sum(n0,succ(n10))),sum(n10,pred(n10))) = sK0
| ~ spl3_14
| ~ spl3_31 ),
inference(forward_demodulation,[],[f800,f134]) ).
fof(f800,plain,
( sum(pred(sum(n0,succ(n10))),sum(n10,pred(sum(n0,n10)))) = sK0
| ~ spl3_14
| ~ spl3_31 ),
inference(forward_demodulation,[],[f799,f488]) ).
fof(f789,plain,
( ~ spl3_2
| ~ spl3_32 ),
inference(avatar_contradiction_clause,[],[f788]) ).
fof(f788,plain,
( $false
| ~ spl3_2
| ~ spl3_32 ),
inference(subsumption_resolution,[],[f787,f319]) ).
fof(f787,plain,
( n5 = sK0
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f786,f427]) ).
fof(f786,plain,
( sum(n11,n10) = sK0
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f785,f99]) ).
fof(f785,plain,
( sum(pred(n12),n10) = sK0
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f784,f432]) ).
fof(f784,plain,
( sum(pred(sum(n11,n1)),n10) = sK0
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f783,f329]) ).
fof(f783,plain,
( sum(pred(sum(n11,succ(n0))),n10) = sK0
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f782,f134]) ).
fof(f782,plain,
( sum(pred(sum(n11,succ(n0))),sum(n0,n10)) = sK0
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f781,f115]) ).
fof(f781,plain,
( sum(pred(sum(n11,succ(n0))),sum(n0,pred(n11))) = sK0
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f780,f376]) ).
fof(f780,plain,
( sum(pred(sum(n11,succ(n0))),sum(n0,pred(sum(n11,n0)))) = sK0
| ~ spl3_2
| ~ spl3_32 ),
inference(forward_demodulation,[],[f574,f561]) ).
fof(f574,plain,
( sum(pred(sum(n11,succ(sK1))),sum(sK1,pred(sum(n11,sK1)))) = sK0
| ~ spl3_2 ),
inference(forward_demodulation,[],[f231,f440]) ).
fof(f440,plain,
( n11 = sK2
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f438,plain,
( spl3_2
<=> n11 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f767,plain,
( ~ spl3_2
| ~ spl3_31 ),
inference(avatar_contradiction_clause,[],[f766]) ).
fof(f766,plain,
( $false
| ~ spl3_2
| ~ spl3_31 ),
inference(subsumption_resolution,[],[f765,f213]) ).
fof(f765,plain,
( n3 = sK0
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f764,f53]) ).
fof(f764,plain,
( sum(n5,n14) = sK0
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f763,f195]) ).
fof(f763,plain,
( sum(pred(n6),n14) = sK0
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f762,f291]) ).
fof(f762,plain,
( sum(pred(sum(n11,n11)),n14) = sK0
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f761,f348]) ).
fof(f761,plain,
( sum(pred(sum(n11,succ(n10))),n14) = sK0
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f760,f182]) ).
fof(f760,plain,
( sum(pred(sum(n11,succ(n10))),sum(n10,n4)) = sK0
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f759,f124]) ).
fof(f759,plain,
( sum(pred(sum(n11,succ(n10))),sum(n10,pred(n5))) = sK0
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f758,f427]) ).
fof(f758,plain,
( sum(pred(sum(n11,succ(n10))),sum(n10,pred(sum(n11,n10)))) = sK0
| ~ spl3_2
| ~ spl3_31 ),
inference(forward_demodulation,[],[f574,f557]) ).
fof(f752,plain,
( ~ spl3_2
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f751]) ).
fof(f751,plain,
( $false
| ~ spl3_2
| ~ spl3_30 ),
inference(subsumption_resolution,[],[f750,f220]) ).
fof(f750,plain,
( n14 = sK0
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f749,f297]) ).
fof(f749,plain,
( sum(n14,n0) = sK0
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f748,f325]) ).
fof(f748,plain,
( sum(pred(n15),n0) = sK0
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f747,f125]) ).
fof(f747,plain,
( sum(pred(sum(n11,n4)),n0) = sK0
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f746,f225]) ).
fof(f746,plain,
( sum(pred(sum(n11,succ(n3))),n0) = sK0
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f745,f50]) ).
fof(f745,plain,
( sum(pred(sum(n11,succ(n3))),sum(n3,n13)) = sK0
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f744,f250]) ).
fof(f744,plain,
( sum(pred(sum(n11,succ(n3))),sum(n3,pred(n14))) = sK0
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_demodulation,[],[f743,f347]) ).
fof(f743,plain,
( sum(pred(sum(n11,succ(n3))),sum(n3,pred(sum(n11,n3)))) = sK0
| ~ spl3_2
| ~ spl3_30 ),
inference(backward_demodulation,[],[f574,f553]) ).
fof(f731,plain,
( ~ spl3_2
| ~ spl3_29 ),
inference(avatar_contradiction_clause,[],[f730]) ).
fof(f730,plain,
( $false
| ~ spl3_2
| ~ spl3_29 ),
inference(subsumption_resolution,[],[f729,f322]) ).
fof(f729,plain,
( n2 = sK0
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f728,f308]) ).
fof(f728,plain,
( sum(n10,n8) = sK0
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f727,f115]) ).
fof(f727,plain,
( sum(pred(n11),n8) = sK0
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f726,f376]) ).
fof(f726,plain,
( sum(pred(sum(n11,n0)),n8) = sK0
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f725,f208]) ).
fof(f725,plain,
( sum(pred(sum(n11,succ(n15))),n8) = sK0
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f724,f137]) ).
fof(f724,plain,
( sum(pred(sum(n11,succ(n15))),sum(n15,n9)) = sK0
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f723,f365]) ).
fof(f723,plain,
( sum(pred(sum(n11,succ(n15))),sum(n15,pred(n10))) = sK0
| ~ spl3_2
| ~ spl3_29 ),
inference(forward_demodulation,[],[f722,f415]) ).
fof(f722,plain,
( sK0 = sum(pred(sum(n11,succ(n15))),sum(n15,pred(sum(n11,n15))))
| ~ spl3_2
| ~ spl3_29 ),
inference(backward_demodulation,[],[f574,f549]) ).
fof(f718,plain,
( ~ spl3_2
| ~ spl3_28 ),
inference(avatar_contradiction_clause,[],[f717]) ).
fof(f717,plain,
( $false
| ~ spl3_2
| ~ spl3_28 ),
inference(subsumption_resolution,[],[f716,f331]) ).
fof(f716,plain,
( n0 = sK0
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f715,f310]) ).
fof(f715,plain,
( sum(n4,n12) = sK0
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f714,f124]) ).
fof(f714,plain,
( sum(pred(n5),n12) = sK0
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f713,f427]) ).
fof(f713,plain,
( sum(pred(sum(n11,n10)),n12) = sK0
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f712,f338]) ).
fof(f712,plain,
( sum(pred(sum(n11,succ(n9))),n12) = sK0
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f711,f259]) ).
fof(f711,plain,
( sum(pred(sum(n11,succ(n9))),sum(n9,n3)) = sK0
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f710,f138]) ).
fof(f710,plain,
( sum(pred(sum(n11,succ(n9))),sum(n9,pred(n4))) = sK0
| ~ spl3_2
| ~ spl3_28 ),
inference(forward_demodulation,[],[f709,f283]) ).
fof(f709,plain,
( sum(pred(sum(n11,succ(n9))),sum(n9,pred(sum(n11,n9)))) = sK0
| ~ spl3_2
| ~ spl3_28 ),
inference(backward_demodulation,[],[f574,f545]) ).
fof(f705,plain,
( ~ spl3_2
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f704]) ).
fof(f704,plain,
( $false
| ~ spl3_2
| ~ spl3_27 ),
inference(subsumption_resolution,[],[f703,f117]) ).
fof(f703,plain,
( n10 = sK0
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f702,f302]) ).
fof(f702,plain,
( sum(n2,n8) = sK0
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f701,f147]) ).
fof(f701,plain,
( sum(pred(n3),n8) = sK0
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f700,f246]) ).
fof(f700,plain,
( sum(pred(sum(n11,n8)),n8) = sK0
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f699,f73]) ).
fof(f699,plain,
( sum(pred(sum(n11,succ(n7))),n8) = sK0
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f698,f142]) ).
fof(f698,plain,
( sum(pred(sum(n11,succ(n7))),sum(n7,n1)) = sK0
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f697,f155]) ).
fof(f697,plain,
( sum(pred(sum(n11,succ(n7))),sum(n7,pred(n2))) = sK0
| ~ spl3_2
| ~ spl3_27 ),
inference(forward_demodulation,[],[f696,f111]) ).
fof(f696,plain,
( sum(pred(sum(n11,succ(n7))),sum(n7,pred(sum(n11,n7)))) = sK0
| ~ spl3_2
| ~ spl3_27 ),
inference(backward_demodulation,[],[f574,f541]) ).
fof(f687,plain,
( ~ spl3_2
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f686]) ).
fof(f686,plain,
( $false
| ~ spl3_2
| ~ spl3_26 ),
inference(subsumption_resolution,[],[f685,f110]) ).
fof(f685,plain,
( n7 = sK0
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f684,f393]) ).
fof(f684,plain,
( sum(n1,n6) = sK0
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f683,f155]) ).
fof(f683,plain,
( sum(pred(n2),n6) = sK0
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f682,f111]) ).
fof(f682,plain,
( sum(pred(sum(n11,n7)),n6) = sK0
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f681,f76]) ).
fof(f681,plain,
( sum(pred(sum(n11,succ(n6))),n6) = sK0
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f680,f352]) ).
fof(f680,plain,
( sum(pred(sum(n11,succ(n6))),sum(n6,n0)) = sK0
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f679,f406]) ).
fof(f679,plain,
( sum(pred(sum(n11,succ(n6))),sum(n6,pred(n1))) = sK0
| ~ spl3_2
| ~ spl3_26 ),
inference(forward_demodulation,[],[f678,f100]) ).
fof(f678,plain,
( sum(pred(sum(n11,succ(n6))),sum(n6,pred(sum(n11,n6)))) = sK0
| ~ spl3_2
| ~ spl3_26 ),
inference(backward_demodulation,[],[f574,f537]) ).
fof(f674,plain,
( ~ spl3_2
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f673]) ).
fof(f673,plain,
( $false
| ~ spl3_2
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f672,f381]) ).
fof(f672,plain,
( n4 = sK0
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f671,f46]) ).
fof(f671,plain,
( sum(n0,n4) = sK0
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f670,f406]) ).
fof(f670,plain,
( sum(pred(n1),n4) = sK0
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f669,f100]) ).
fof(f669,plain,
( sum(pred(sum(n11,n6)),n4) = sK0
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f668,f161]) ).
fof(f668,plain,
( sK0 = sum(pred(sum(n11,succ(n5))),n4)
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f667,f192]) ).
fof(f667,plain,
( sum(pred(sum(n11,succ(n5))),sum(n5,n15)) = sK0
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f666,f94]) ).
fof(f666,plain,
( sum(pred(sum(n11,succ(n5))),sum(n5,pred(n0))) = sK0
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f665,f44]) ).
fof(f665,plain,
( sum(pred(sum(n11,succ(n5))),sum(n5,pred(sum(n11,n5)))) = sK0
| ~ spl3_2
| ~ spl3_25 ),
inference(forward_demodulation,[],[f574,f533]) ).
fof(f662,plain,
( ~ spl3_2
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f661]) ).
fof(f661,plain,
( $false
| ~ spl3_2
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f660,f67]) ).
fof(f660,plain,
( n1 = sK0
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f659,f305]) ).
fof(f659,plain,
( sum(n15,n2) = sK0
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f658,f94]) ).
fof(f658,plain,
( sum(pred(n0),n2) = sK0
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f657,f44]) ).
fof(f657,plain,
( sum(pred(sum(n11,n5)),n2) = sK0
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f656,f74]) ).
fof(f656,plain,
( sum(pred(sum(n11,succ(n4))),n2) = sK0
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f655,f105]) ).
fof(f655,plain,
( sum(pred(sum(n11,succ(n4))),sum(n4,n14)) = sK0
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f654,f325]) ).
fof(f654,plain,
( sum(pred(sum(n11,succ(n4))),sum(n4,pred(n15))) = sK0
| ~ spl3_2
| ~ spl3_24 ),
inference(forward_demodulation,[],[f653,f125]) ).
fof(f653,plain,
( sum(pred(sum(n11,succ(n4))),sum(n4,pred(sum(n11,n4)))) = sK0
| ~ spl3_2
| ~ spl3_24 ),
inference(backward_demodulation,[],[f574,f529]) ).
fof(f647,plain,
( ~ spl3_2
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f646,plain,
( $false
| ~ spl3_2
| ~ spl3_23 ),
inference(subsumption_resolution,[],[f645,f366]) ).
fof(f645,plain,
( n13 = sK0
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f644,f11]) ).
fof(f644,plain,
( sum(n3,n10) = sK0
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f643,f138]) ).
fof(f643,plain,
( sum(pred(n4),n10) = sK0
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f642,f283]) ).
fof(f642,plain,
( sum(pred(sum(n11,n9)),n10) = sK0
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f641,f61]) ).
fof(f641,plain,
( sum(pred(sum(n11,succ(n8))),n10) = sK0
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f640,f101]) ).
fof(f640,plain,
( sum(pred(sum(n11,succ(n8))),sum(n8,n2)) = sK0
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f639,f147]) ).
fof(f639,plain,
( sum(pred(sum(n11,succ(n8))),sum(n8,pred(n3))) = sK0
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f638,f246]) ).
fof(f638,plain,
( sum(pred(sum(n11,succ(n8))),sum(n8,pred(sum(n11,n8)))) = sK0
| ~ spl3_2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f574,f525]) ).
fof(f633,plain,
( ~ spl3_2
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f632]) ).
fof(f632,plain,
( $false
| ~ spl3_2
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f631,f383]) ).
fof(f631,plain,
( n12 = sK0
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f630,f70]) ).
fof(f630,plain,
( sum(n8,n4) = sK0
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f629,f388]) ).
fof(f629,plain,
( sum(pred(n9),n4) = sK0
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f628,f148]) ).
fof(f628,plain,
( sum(pred(sum(n11,n14)),n4) = sK0
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f627,f335]) ).
fof(f627,plain,
( sum(pred(sum(n11,succ(n13))),n4) = sK0
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f626,f107]) ).
fof(f626,plain,
( sum(pred(sum(n11,succ(n13))),sum(n13,n7)) = sK0
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f625,f228]) ).
fof(f625,plain,
( sum(pred(sum(n11,succ(n13))),sum(n13,pred(n8))) = sK0
| ~ spl3_2
| ~ spl3_22 ),
inference(forward_demodulation,[],[f624,f87]) ).
fof(f624,plain,
( sK0 = sum(pred(sum(n11,succ(n13))),sum(n13,pred(sum(n11,n13))))
| ~ spl3_2
| ~ spl3_22 ),
inference(backward_demodulation,[],[f574,f521]) ).
fof(f622,plain,
( ~ spl3_2
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f621]) ).
fof(f621,plain,
( $false
| ~ spl3_2
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f620,f306]) ).
fof(f620,plain,
( n8 = sK0
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f619,f361]) ).
fof(f619,plain,
( sum(n12,n12) = sK0
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f618,f95]) ).
fof(f618,plain,
( sum(pred(n13),n12) = sK0
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f617,f139]) ).
fof(f617,plain,
( sum(pred(sum(n11,n2)),n12) = sK0
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f616,f205]) ).
fof(f616,plain,
( sum(pred(sum(n11,succ(n1))),n12) = sK0
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f615,f289]) ).
fof(f615,plain,
( sum(pred(sum(n11,succ(n1))),sum(n1,n11)) = sK0
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f614,f99]) ).
fof(f614,plain,
( sum(pred(sum(n11,succ(n1))),sum(n1,pred(n12))) = sK0
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f612,f432]) ).
fof(f612,plain,
( sum(pred(sum(n11,succ(n1))),sum(n1,pred(sum(n11,n1)))) = sK0
| ~ spl3_2
| ~ spl3_21 ),
inference(backward_demodulation,[],[f574,f517]) ).
fof(f607,plain,
( ~ spl3_2
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f606]) ).
fof(f606,plain,
( $false
| ~ spl3_2
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f605,f234]) ).
fof(f605,plain,
( n6 = sK0
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f604,f352]) ).
fof(f604,plain,
( sum(n6,n0) = sK0
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f603,f80]) ).
fof(f603,plain,
( sum(pred(n7),n0) = sK0
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f602,f152]) ).
fof(f602,plain,
( sum(pred(sum(n11,n12)),n0) = sK0
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f601,f183]) ).
fof(f601,plain,
( sum(pred(sum(n11,succ(n11))),n0) = sK0
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f600,f44]) ).
fof(f600,plain,
( sum(pred(sum(n11,succ(n11))),sum(n11,n5)) = sK0
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f599,f195]) ).
fof(f599,plain,
( sum(pred(sum(n11,succ(n11))),sum(n11,pred(n6))) = sK0
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f598,f291]) ).
fof(f598,plain,
( sum(pred(sum(n11,succ(n11))),sum(n11,pred(sum(n11,n11)))) = sK0
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f574,f513]) ).
fof(f596,plain,
( ~ spl3_2
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f595]) ).
fof(f595,plain,
( $false
| ~ spl3_2
| ~ spl3_19 ),
inference(subsumption_resolution,[],[f594,f176]) ).
fof(f594,plain,
( n11 = sK0
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f593,f362]) ).
fof(f593,plain,
( sum(n13,n14) = sK0
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f592,f250]) ).
fof(f592,plain,
( sum(pred(n14),n14) = sK0
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f591,f347]) ).
fof(f591,plain,
( sum(pred(sum(n11,n3)),n14) = sK0
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f590,f240]) ).
fof(f590,plain,
( sum(pred(sum(n11,succ(n2))),n14) = sK0
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f589,f180]) ).
fof(f589,plain,
( sum(pred(sum(n11,succ(n2))),sum(n2,n12)) = sK0
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f588,f95]) ).
fof(f588,plain,
( sum(pred(sum(n11,succ(n2))),sum(n2,pred(n13))) = sK0
| ~ spl3_2
| ~ spl3_19 ),
inference(forward_demodulation,[],[f585,f139]) ).
fof(f585,plain,
( sum(pred(sum(n11,succ(n2))),sum(n2,pred(sum(n11,n2)))) = sK0
| ~ spl3_2
| ~ spl3_19 ),
inference(backward_demodulation,[],[f574,f509]) ).
fof(f584,plain,
( ~ spl3_2
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f583]) ).
fof(f583,plain,
( $false
| ~ spl3_2
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f582,f251]) ).
fof(f582,plain,
( n15 = sK0
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f581,f49]) ).
fof(f581,plain,
( sum(n9,n6) = sK0
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f580,f365]) ).
fof(f580,plain,
( sum(pred(n10),n6) = sK0
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f579,f415]) ).
fof(f579,plain,
( sum(pred(sum(n11,n15)),n6) = sK0
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f578,f357]) ).
fof(f578,plain,
( sK0 = sum(pred(sum(n11,succ(n14))),n6)
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f577,f114]) ).
fof(f577,plain,
( sum(pred(sum(n11,succ(n14))),sum(n14,n8)) = sK0
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f576,f388]) ).
fof(f576,plain,
( sum(pred(sum(n11,succ(n14))),sum(n14,pred(n9))) = sK0
| ~ spl3_2
| ~ spl3_18 ),
inference(forward_demodulation,[],[f575,f148]) ).
fof(f575,plain,
( sum(pred(sum(n11,succ(n14))),sum(n14,pred(sum(n11,n14)))) = sK0
| ~ spl3_2
| ~ spl3_18 ),
inference(backward_demodulation,[],[f574,f505]) ).
fof(f573,plain,
( ~ spl3_2
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f572]) ).
fof(f572,plain,
( $false
| ~ spl3_2
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f571,f13]) ).
fof(f571,plain,
( n9 = sK0
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f570,f166]) ).
fof(f570,plain,
( sum(n7,n2) = sK0
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f569,f228]) ).
fof(f569,plain,
( sK0 = sum(pred(n8),n2)
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f568,f87]) ).
fof(f568,plain,
( sum(pred(sum(n11,n13)),n2) = sK0
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f567,f243]) ).
fof(f567,plain,
( sum(pred(sum(n11,n13)),sum(n12,n6)) = sK0
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f566,f80]) ).
fof(f566,plain,
( sum(pred(sum(n11,n13)),sum(n12,pred(n7))) = sK0
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f565,f152]) ).
fof(f565,plain,
( sum(pred(sum(n11,n13)),sum(n12,pred(sum(n11,n12)))) = sK0
| ~ spl3_2
| ~ spl3_17 ),
inference(backward_demodulation,[],[f564,f440]) ).
fof(f564,plain,
( sum(pred(sum(sK2,n13)),sum(n12,pred(sum(sK2,n12)))) = sK0
| ~ spl3_17 ),
inference(forward_demodulation,[],[f563,f29]) ).
fof(f563,plain,
( sum(pred(sum(sK2,succ(n12))),sum(n12,pred(sum(sK2,n12)))) = sK0
| ~ spl3_17 ),
inference(backward_demodulation,[],[f231,f501]) ).
fof(f562,plain,
( spl3_17
| spl3_18
| spl3_19
| spl3_20
| spl3_21
| spl3_22
| spl3_23
| spl3_24
| spl3_25
| spl3_26
| spl3_27
| spl3_28
| spl3_29
| spl3_30
| spl3_31
| spl3_32 ),
inference(avatar_split_clause,[],[f201,f559,f555,f551,f547,f543,f539,f535,f531,f527,f523,f519,f515,f511,f507,f503,f499]) ).
fof(f201,plain,
( n0 = sK1
| n10 = sK1
| n3 = sK1
| n15 = sK1
| n9 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n8 = sK1
| n13 = sK1
| n1 = sK1
| n11 = sK1
| n2 = sK1
| n14 = sK1
| n12 = sK1 ),
inference(cnf_transformation,[],[f5]) ).
fof(f497,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 ),
inference(avatar_split_clause,[],[f278,f494,f490,f486,f482,f478,f474,f470,f466,f462,f458,f454,f450,f446,f442,f438,f434]) ).
fof(f278,plain,
( n8 = sK2
| n2 = sK2
| n0 = sK2
| n13 = sK2
| n6 = sK2
| n9 = sK2
| n1 = sK2
| n3 = sK2
| n7 = sK2
| n12 = sK2
| n15 = sK2
| n5 = sK2
| n10 = sK2
| n14 = sK2
| n11 = sK2
| n4 = sK2 ),
inference(cnf_transformation,[],[f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM375+1.015 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 06:35:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.24/0.52 % (18835)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.24/0.53 % (18849)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.24/0.53 % (18857)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.24/0.53 % (18862)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.24/0.53 % (18846)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.24/0.53 % (18836)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.24/0.53 % (18841)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.24/0.53 % (18840)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.24/0.54 % (18840)Instruction limit reached!
% 1.24/0.54 % (18840)------------------------------
% 1.24/0.54 % (18840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.54 % (18838)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.38/0.54 % (18837)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.38/0.54 % (18854)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.38/0.54 % (18850)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.38/0.54 % (18834)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.38/0.54 % (18855)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.38/0.54 % (18840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54 % (18840)Termination reason: Unknown
% 1.38/0.54 % (18840)Termination phase: Saturation
% 1.38/0.54
% 1.38/0.54 % (18840)Memory used [KB]: 5756
% 1.38/0.54 % (18840)Time elapsed: 0.005 s
% 1.38/0.54 % (18840)Instructions burned: 7 (million)
% 1.38/0.54 % (18840)------------------------------
% 1.38/0.54 % (18840)------------------------------
% 1.38/0.54 % (18847)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.38/0.55 % (18853)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.38/0.55 % (18833)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.38/0.55 % (18851)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.38/0.55 % (18844)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.38/0.55 % (18858)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.38/0.55 % (18839)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.38/0.55 % (18859)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.38/0.55 % (18852)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.38/0.55 % (18845)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.38/0.56 % (18861)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.38/0.56 % (18841)Instruction limit reached!
% 1.38/0.56 % (18841)------------------------------
% 1.38/0.56 % (18841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.56 % (18841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.56 % (18841)Termination reason: Unknown
% 1.38/0.56 % (18841)Termination phase: Preprocessing 3
% 1.38/0.56
% 1.38/0.56 % (18841)Memory used [KB]: 1151
% 1.38/0.56 % (18841)Time elapsed: 0.004 s
% 1.38/0.56 % (18841)Instructions burned: 4 (million)
% 1.38/0.56 % (18841)------------------------------
% 1.38/0.56 % (18841)------------------------------
% 1.38/0.56 % (18848)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.38/0.56 % (18860)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.38/0.56 % (18856)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.38/0.56 % (18843)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.38/0.57 % (18842)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.38/0.60 % (18834)Instruction limit reached!
% 1.38/0.60 % (18834)------------------------------
% 1.38/0.60 % (18834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.60 % (18834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.60 % (18834)Termination reason: Unknown
% 1.38/0.60 % (18834)Termination phase: Saturation
% 1.38/0.60
% 1.38/0.60 % (18834)Memory used [KB]: 6396
% 1.38/0.60 % (18834)Time elapsed: 0.032 s
% 1.38/0.60 % (18834)Instructions burned: 51 (million)
% 1.38/0.60 % (18834)------------------------------
% 1.38/0.60 % (18834)------------------------------
% 1.38/0.61 % (18835)Instruction limit reached!
% 1.38/0.61 % (18835)------------------------------
% 1.38/0.61 % (18835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.61 % (18835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.61 % (18835)Termination reason: Unknown
% 1.38/0.61 % (18835)Termination phase: Saturation
% 1.38/0.61
% 1.38/0.61 % (18835)Memory used [KB]: 1535
% 1.38/0.61 % (18835)Time elapsed: 0.201 s
% 1.38/0.61 % (18835)Instructions burned: 38 (million)
% 1.38/0.61 % (18835)------------------------------
% 1.38/0.61 % (18835)------------------------------
% 1.38/0.61 % (18839)Instruction limit reached!
% 1.38/0.61 % (18839)------------------------------
% 1.38/0.61 % (18839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.61 % (18839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.61 % (18839)Termination reason: Unknown
% 1.38/0.61 % (18839)Termination phase: Finite model building constraint generation
% 1.38/0.61
% 1.38/0.61 % (18839)Memory used [KB]: 7675
% 1.38/0.61 % (18839)Time elapsed: 0.022 s
% 1.38/0.61 % (18839)Instructions burned: 52 (million)
% 1.38/0.61 % (18839)------------------------------
% 1.38/0.61 % (18839)------------------------------
% 1.38/0.61 TRYING [17]
% 1.38/0.62 % (18836)Instruction limit reached!
% 1.38/0.62 % (18836)------------------------------
% 1.38/0.62 % (18836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.62 % (18836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.62 % (18836)Termination reason: Unknown
% 1.38/0.62 % (18836)Termination phase: Saturation
% 1.38/0.62
% 1.38/0.62 % (18836)Memory used [KB]: 6396
% 1.38/0.62 % (18836)Time elapsed: 0.212 s
% 1.38/0.62 % (18836)Instructions burned: 51 (million)
% 1.38/0.62 % (18836)------------------------------
% 1.38/0.62 % (18836)------------------------------
% 1.38/0.62 % (18838)Instruction limit reached!
% 1.38/0.62 % (18838)------------------------------
% 1.38/0.62 % (18838)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.62 % (18838)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.62 % (18838)Termination reason: Unknown
% 1.38/0.62 % (18838)Termination phase: Saturation
% 1.38/0.62
% 1.38/0.62 % (18838)Memory used [KB]: 6396
% 1.38/0.62 % (18838)Time elapsed: 0.212 s
% 1.38/0.62 % (18838)Instructions burned: 49 (million)
% 1.38/0.62 % (18838)------------------------------
% 1.38/0.62 % (18838)------------------------------
% 1.38/0.62 % (18837)Instruction limit reached!
% 1.38/0.62 % (18837)------------------------------
% 1.38/0.62 % (18837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.62 % (18837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.62 % (18837)Termination reason: Unknown
% 1.38/0.62 % (18837)Termination phase: Saturation
% 1.38/0.62
% 1.38/0.62 % (18837)Memory used [KB]: 6396
% 1.38/0.62 % (18837)Time elapsed: 0.027 s
% 1.38/0.62 % (18837)Instructions burned: 53 (million)
% 1.38/0.62 % (18837)------------------------------
% 1.38/0.62 % (18837)------------------------------
% 2.08/0.63 % (18850)Instruction limit reached!
% 2.08/0.63 % (18850)------------------------------
% 2.08/0.63 % (18850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.63 % (18850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.63 % (18850)Termination reason: Unknown
% 2.08/0.63 % (18850)Termination phase: Finite model building constraint generation
% 2.08/0.63
% 2.08/0.63 % (18850)Memory used [KB]: 10746
% 2.08/0.63 % (18850)Time elapsed: 0.026 s
% 2.08/0.63 % (18850)Instructions burned: 59 (million)
% 2.08/0.63 % (18850)------------------------------
% 2.08/0.63 % (18850)------------------------------
% 2.08/0.64 % (18842)Instruction limit reached!
% 2.08/0.64 % (18842)------------------------------
% 2.08/0.64 % (18842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.64 % (18843)Instruction limit reached!
% 2.08/0.64 % (18843)------------------------------
% 2.08/0.64 % (18843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.64 % (18843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.64 % (18843)Termination reason: Unknown
% 2.08/0.64 % (18843)Termination phase: Saturation
% 2.08/0.64
% 2.08/0.64 % (18843)Memory used [KB]: 6396
% 2.08/0.64 % (18843)Time elapsed: 0.229 s
% 2.08/0.64 % (18843)Instructions burned: 50 (million)
% 2.08/0.64 % (18843)------------------------------
% 2.08/0.64 % (18843)------------------------------
% 2.08/0.65 % (18842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.65 % (18842)Termination reason: Unknown
% 2.08/0.65 % (18842)Termination phase: Saturation
% 2.08/0.65
% 2.08/0.65 % (18842)Memory used [KB]: 1663
% 2.08/0.65 % (18842)Time elapsed: 0.210 s
% 2.08/0.65 % (18842)Instructions burned: 53 (million)
% 2.08/0.65 % (18842)------------------------------
% 2.08/0.65 % (18842)------------------------------
% 2.08/0.66 % (18864)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.08/0.66 % (18859)Instruction limit reached!
% 2.08/0.66 % (18859)------------------------------
% 2.08/0.66 % (18859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.66 % (18859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.66 % (18859)Termination reason: Unknown
% 2.08/0.66 % (18859)Termination phase: Saturation
% 2.08/0.66
% 2.08/0.66 % (18859)Memory used [KB]: 7036
% 2.08/0.66 % (18859)Time elapsed: 0.034 s
% 2.08/0.66 % (18859)Instructions burned: 68 (million)
% 2.08/0.66 % (18859)------------------------------
% 2.08/0.66 % (18859)------------------------------
% 2.08/0.66 % (18848)Instruction limit reached!
% 2.08/0.66 % (18848)------------------------------
% 2.08/0.66 % (18848)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.66 % (18848)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.66 % (18848)Termination reason: Unknown
% 2.08/0.66 % (18848)Termination phase: Saturation
% 2.08/0.66
% 2.08/0.66 % (18848)Memory used [KB]: 1791
% 2.08/0.66 % (18848)Time elapsed: 0.255 s
% 2.08/0.66 % (18848)Instructions burned: 76 (million)
% 2.08/0.66 % (18848)------------------------------
% 2.08/0.66 % (18848)------------------------------
% 2.08/0.66 % (18852)Instruction limit reached!
% 2.08/0.66 % (18852)------------------------------
% 2.08/0.66 % (18852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.66 % (18852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.66 % (18852)Termination reason: Unknown
% 2.08/0.66 % (18852)Termination phase: Saturation
% 2.08/0.66
% 2.08/0.66 % (18852)Memory used [KB]: 1663
% 2.08/0.66 % (18852)Time elapsed: 0.245 s
% 2.08/0.66 % (18852)Instructions burned: 103 (million)
% 2.08/0.66 % (18852)------------------------------
% 2.08/0.66 % (18852)------------------------------
% 2.08/0.67 % (18849)Instruction limit reached!
% 2.08/0.67 % (18849)------------------------------
% 2.08/0.67 % (18849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.67 % (18849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.67 % (18849)Termination reason: Unknown
% 2.08/0.67 % (18849)Termination phase: Saturation
% 2.08/0.67
% 2.08/0.67 % (18849)Memory used [KB]: 6652
% 2.08/0.67 % (18849)Time elapsed: 0.249 s
% 2.08/0.67 % (18849)Instructions burned: 99 (million)
% 2.08/0.67 % (18849)------------------------------
% 2.08/0.67 % (18849)------------------------------
% 2.08/0.68 % (18847)Instruction limit reached!
% 2.08/0.68 % (18847)------------------------------
% 2.08/0.68 % (18847)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.68 % (18847)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.68 % (18847)Termination reason: Unknown
% 2.08/0.68 % (18847)Termination phase: Saturation
% 2.08/0.68
% 2.08/0.68 % (18847)Memory used [KB]: 7036
% 2.08/0.68 % (18847)Time elapsed: 0.035 s
% 2.08/0.68 % (18847)Instructions burned: 68 (million)
% 2.08/0.68 % (18847)------------------------------
% 2.08/0.68 % (18847)------------------------------
% 2.08/0.68 % (18863)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.47/0.70 % (18857)First to succeed.
% 2.47/0.71 % (18846)Instruction limit reached!
% 2.47/0.71 % (18846)------------------------------
% 2.47/0.71 % (18846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.71 % (18844)Instruction limit reached!
% 2.47/0.71 % (18844)------------------------------
% 2.47/0.71 % (18844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.71 % (18844)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.71 % (18844)Termination reason: Unknown
% 2.47/0.71 % (18844)Termination phase: Saturation
% 2.47/0.71
% 2.47/0.71 % (18844)Memory used [KB]: 6908
% 2.47/0.71 % (18844)Time elapsed: 0.294 s
% 2.47/0.71 % (18844)Instructions burned: 101 (million)
% 2.47/0.71 % (18844)------------------------------
% 2.47/0.71 % (18844)------------------------------
% 2.47/0.72 % (18851)Instruction limit reached!
% 2.47/0.72 % (18851)------------------------------
% 2.47/0.72 % (18851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.72 % (18851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.72 % (18851)Termination reason: Unknown
% 2.47/0.72 % (18851)Termination phase: Saturation
% 2.47/0.72
% 2.47/0.72 % (18851)Memory used [KB]: 6780
% 2.47/0.72 % (18851)Time elapsed: 0.050 s
% 2.47/0.72 % (18851)Instructions burned: 101 (million)
% 2.47/0.72 % (18851)------------------------------
% 2.47/0.72 % (18851)------------------------------
% 2.47/0.72 % (18846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.72 % (18846)Termination reason: Unknown
% 2.47/0.72 % (18846)Termination phase: Saturation
% 2.47/0.72
% 2.47/0.72 % (18846)Memory used [KB]: 7036
% 2.47/0.72 % (18846)Time elapsed: 0.297 s
% 2.47/0.72 % (18846)Instructions burned: 99 (million)
% 2.47/0.72 % (18846)------------------------------
% 2.47/0.72 % (18846)------------------------------
% 2.47/0.74 % (18865)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.47/0.74 % (18869)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.47/0.74 % (18845)Instruction limit reached!
% 2.47/0.74 % (18845)------------------------------
% 2.47/0.74 % (18845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.74 % (18845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.74 % (18845)Termination reason: Unknown
% 2.47/0.74 % (18845)Termination phase: Saturation
% 2.47/0.74
% 2.47/0.74 % (18845)Memory used [KB]: 7164
% 2.47/0.74 % (18845)Time elapsed: 0.317 s
% 2.47/0.74 % (18845)Instructions burned: 101 (million)
% 2.47/0.74 % (18845)------------------------------
% 2.47/0.74 % (18845)------------------------------
% 2.47/0.75 % (18860)Instruction limit reached!
% 2.47/0.75 % (18860)------------------------------
% 2.47/0.75 % (18860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.75 % (18860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.75 % (18860)Termination reason: Unknown
% 2.47/0.75 % (18860)Termination phase: Saturation
% 2.47/0.75
% 2.47/0.75 % (18860)Memory used [KB]: 1791
% 2.47/0.75 % (18860)Time elapsed: 0.307 s
% 2.47/0.75 % (18860)Instructions burned: 177 (million)
% 2.47/0.75 % (18860)------------------------------
% 2.47/0.75 % (18860)------------------------------
% 2.47/0.75 % (18866)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.47/0.75 % (18867)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.77/0.76 % (18870)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.77/0.76 % (18868)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.79/0.77 % (18871)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.79/0.77 % (18873)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.79/0.77 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.79/0.78 % (18872)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.79/0.79 % (18857)Refutation found. Thanks to Tanya!
% 2.79/0.79 % SZS status Unsatisfiable for theBenchmark
% 2.79/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 2.87/0.81 % (18857)------------------------------
% 2.87/0.81 % (18857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.81 % (18857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.81 % (18857)Termination reason: Refutation
% 2.87/0.81
% 2.87/0.81 % (18857)Memory used [KB]: 7419
% 2.87/0.81 % (18857)Time elapsed: 0.142 s
% 2.87/0.81 % (18857)Instructions burned: 137 (million)
% 2.87/0.81 % (18857)------------------------------
% 2.87/0.81 % (18857)------------------------------
% 2.87/0.81 % (18832)Success in time 0.446 s
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