TSTP Solution File: NUM378+1.015.010 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM378+1.015.010 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n017.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 : Fri Sep 1 20:10:08 EDT 2023
% Result : Unsatisfiable 9.38s 1.85s
% Output : Refutation 9.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 507
% Syntax : Number of formulae : 1487 ( 937 unt; 0 def)
% Number of atoms : 4277 (3060 equ)
% Maximal formula atoms : 1008 ( 2 avg)
% Number of connectives : 3740 ( 950 ~; 404 |;1880 &)
% ( 505 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 534 ( 3 avg)
% Maximal term depth : 17 ( 4 avg)
% Number of predicates : 507 ( 505 usr; 506 prp; 0-2 aty)
% Number of functors : 81 ( 81 usr; 78 con; 0-2 aty)
% Number of variables : 124 (; 0 !; 124 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3071,plain,
$false,
inference(avatar_smt_refutation,[],[f479,f484,f489,f494,f499,f504,f509,f514,f519,f524,f529,f534,f539,f544,f549,f554,f559,f564,f569,f574,f579,f584,f589,f594,f599,f604,f609,f614,f619,f624,f629,f634,f639,f644,f649,f654,f659,f664,f669,f674,f679,f684,f689,f694,f699,f704,f709,f714,f719,f724,f729,f734,f739,f744,f749,f754,f759,f764,f769,f774,f779,f784,f789,f794,f799,f804,f809,f814,f819,f824,f829,f834,f839,f844,f849,f854,f859,f864,f869,f874,f879,f884,f889,f894,f899,f904,f909,f914,f919,f924,f929,f934,f939,f944,f949,f954,f959,f964,f969,f974,f979,f984,f989,f994,f999,f1004,f1009,f1014,f1019,f1024,f1029,f1034,f1039,f1044,f1049,f1054,f1059,f1064,f1069,f1074,f1079,f1084,f1089,f1094,f1099,f1104,f1109,f1114,f1119,f1124,f1129,f1134,f1139,f1144,f1149,f1154,f1159,f1164,f1169,f1174,f1179,f1184,f1189,f1194,f1199,f1204,f1209,f1214,f1219,f1224,f1229,f1234,f1239,f1244,f1249,f1254,f1259,f1264,f1269,f1274,f1279,f1284,f1289,f1294,f1299,f1304,f1309,f1314,f1319,f1324,f1329,f1334,f1339,f1344,f1349,f1354,f1359,f1364,f1369,f1374,f1379,f1384,f1389,f1394,f1399,f1404,f1409,f1414,f1419,f1424,f1429,f1434,f1439,f1444,f1449,f1454,f1459,f1464,f1469,f1474,f1479,f1484,f1489,f1494,f1499,f1504,f1509,f1514,f1519,f1524,f1529,f1534,f1539,f1544,f1549,f1554,f1559,f1564,f1569,f1574,f1579,f1584,f1589,f1594,f1599,f1604,f1609,f1614,f1619,f1624,f1629,f1634,f1639,f1644,f1649,f1654,f1659,f1664,f1669,f1674,f1679,f1684,f1689,f1694,f1699,f1704,f1709,f1714,f1719,f1724,f1729,f1734,f1739,f1744,f1749,f1754,f1759,f1764,f1769,f1774,f1779,f1784,f1789,f1794,f1799,f1804,f1809,f1814,f1819,f1824,f1829,f1834,f1839,f1844,f1849,f1854,f1859,f1864,f1869,f1874,f1879,f1884,f1889,f1894,f1899,f1904,f1909,f1914,f1919,f1924,f1929,f1934,f1939,f1944,f1949,f1954,f1959,f1964,f1969,f1974,f1979,f1984,f1989,f1994,f1999,f2004,f2009,f2014,f2019,f2024,f2029,f2034,f2039,f2044,f2049,f2054,f2059,f2064,f2069,f2074,f2079,f2084,f2089,f2094,f2099,f2104,f2109,f2114,f2119,f2124,f2129,f2134,f2139,f2144,f2149,f2154,f2159,f2164,f2169,f2174,f2179,f2184,f2189,f2194,f2199,f2204,f2209,f2214,f2219,f2224,f2229,f2234,f2239,f2244,f2249,f2254,f2259,f2264,f2269,f2274,f2279,f2284,f2289,f2294,f2299,f2304,f2309,f2314,f2319,f2324,f2329,f2334,f2339,f2344,f2349,f2354,f2359,f2364,f2369,f2374,f2379,f2384,f2389,f2394,f2399,f2404,f2409,f2414,f2419,f2424,f2429,f2434,f2439,f2444,f2449,f2454,f2459,f2464,f2469,f2474,f2479,f2484,f2489,f2494,f2499,f2504,f2509,f2514,f2531,f2536,f2541,f2546,f2551,f2556,f2561,f2566,f2571,f2576,f2581,f2586,f2591,f2596,f2601,f2606,f2611,f2616,f2621,f2626,f2631,f2636,f2641,f2646,f2651,f2656,f2661,f2666,f2671,f2676,f2681,f2686,f2691,f2696,f2701,f2706,f2711,f2716,f2721,f2726,f2731,f2736,f2741,f2746,f2751,f2756,f2761,f2766,f2771,f2776,f2781,f2786,f2791,f2796,f2801,f2806,f2811,f2816,f2821,f2826,f2831,f2896,f2953,f3070]) ).
fof(f3070,plain,
( spl62_490
| spl62_491
| spl62_492
| spl62_493
| spl62_494
| spl62_495
| spl62_496
| spl62_497
| spl62_498
| spl62_499
| spl62_500
| spl62_501
| spl62_502
| spl62_503
| spl62_504
| spl62_505 ),
inference(avatar_split_clause,[],[f293,f3067,f3063,f3059,f3055,f3051,f3047,f3043,f3039,f3035,f3031,f3027,f3023,f3019,f3015,f3011,f3007]) ).
fof(f3007,plain,
( spl62_490
<=> n0 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_490])]) ).
fof(f3011,plain,
( spl62_491
<=> n1 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_491])]) ).
fof(f3015,plain,
( spl62_492
<=> n2 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_492])]) ).
fof(f3019,plain,
( spl62_493
<=> n3 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_493])]) ).
fof(f3023,plain,
( spl62_494
<=> n4 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_494])]) ).
fof(f3027,plain,
( spl62_495
<=> n5 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_495])]) ).
fof(f3031,plain,
( spl62_496
<=> n6 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_496])]) ).
fof(f3035,plain,
( spl62_497
<=> n7 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_497])]) ).
fof(f3039,plain,
( spl62_498
<=> n8 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_498])]) ).
fof(f3043,plain,
( spl62_499
<=> n9 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_499])]) ).
fof(f3047,plain,
( spl62_500
<=> n10 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_500])]) ).
fof(f3051,plain,
( spl62_501
<=> n11 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_501])]) ).
fof(f3055,plain,
( spl62_502
<=> n12 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_502])]) ).
fof(f3059,plain,
( spl62_503
<=> n13 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_503])]) ).
fof(f3063,plain,
( spl62_504
<=> n14 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_504])]) ).
fof(f3067,plain,
( spl62_505
<=> n15 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_505])]) ).
fof(f293,plain,
( n15 = sK1
| n14 = sK1
| n13 = sK1
| n12 = sK1
| n11 = sK1
| n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,plain,
( n14 != n15
& n13 != n15
& n13 != n14
& n12 != n15
& n12 != n14
& n12 != n13
& n11 != n15
& n11 != n14
& n11 != n13
& n11 != n12
& n10 != n15
& n10 != n14
& n10 != n13
& n10 != n12
& n10 != n11
& n9 != n15
& n9 != n14
& n9 != n13
& n9 != n12
& n9 != n11
& n9 != n10
& n8 != n15
& n8 != n14
& n8 != n13
& n8 != n12
& n8 != n11
& n8 != n10
& n8 != n9
& n7 != n15
& n7 != n14
& n7 != n13
& n7 != n12
& n7 != n11
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n15
& n6 != n14
& n6 != n13
& n6 != n12
& n6 != n11
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n15
& n5 != n14
& n5 != n13
& n5 != n12
& n5 != n11
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n15
& n4 != n14
& n4 != n13
& n4 != n12
& n4 != n11
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n15
& n3 != n14
& n3 != n13
& n3 != n12
& n3 != n11
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n15
& n2 != n14
& n2 != n13
& n2 != n12
& n2 != n11
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n15
& n1 != n14
& n1 != n13
& n1 != n12
& n1 != n11
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n15
& n0 != n14
& n0 != n13
& n0 != n12
& n0 != n11
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& ( sK20 != sK21
| sK18 != sK19
| sK16 != sK17
| sK14 != sK15 )
& sK21 = sum(pred(sK60),sum(succ(sK58),sum(pred(sK61),succ(sK59))))
& sK20 = sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18)))
& sK19 = sum(pred(sK56),sum(succ(sK54),sum(pred(sK57),succ(sK55))))
& sK18 = sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16)))
& sK17 = sum(pred(sK52),sum(succ(sK50),sum(pred(sK53),succ(sK51))))
& sK16 = sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14)))
& sK15 = sum(pred(sK48),sum(succ(sK46),sum(pred(sK49),succ(sK47))))
& sK14 = sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12)))
& sK13 = sum(pred(sK44),sum(succ(sK42),sum(pred(sK45),succ(sK43))))
& sK12 = sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10)))
& sK11 = sum(pred(sK40),sum(succ(sK38),sum(pred(sK41),succ(sK39))))
& sK10 = sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8)))
& sK9 = sum(pred(sK36),sum(succ(sK34),sum(pred(sK37),succ(sK35))))
& sK8 = sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6)))
& sK7 = sum(pred(sK32),sum(succ(sK30),sum(pred(sK33),succ(sK31))))
& sK6 = sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4)))
& sK5 = sum(pred(sK28),sum(succ(sK26),sum(pred(sK29),succ(sK27))))
& sK4 = sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2)))
& sK3 = sum(pred(sK24),sum(succ(sK22),sum(pred(sK25),succ(sK23))))
& sK2 = sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))
& sK61 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK19))))))))))))))))
& sK59 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK19))))))))))))))))
& sK60 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18))))))))))))))))
& sK58 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18))))))))))))))))
& sK57 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17))))))))))))))))
& sK55 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17))))))))))))))))
& sK56 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16))))))))))))))))
& sK54 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16))))))))))))))))
& sK53 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15))))))))))))))))
& sK51 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15))))))))))))))))
& sK52 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14))))))))))))))))
& sK50 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14))))))))))))))))
& sK49 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13))))))))))))))))
& sK47 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13))))))))))))))))
& sK48 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12))))))))))))))))
& sK46 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12))))))))))))))))
& sK45 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK11))))))))))))))))
& sK43 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK11))))))))))))))))
& sK44 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10))))))))))))))))
& sK42 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10))))))))))))))))
& sK41 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK9))))))))))))))))
& sK39 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK9))))))))))))))))
& sK40 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8))))))))))))))))
& sK38 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8))))))))))))))))
& sK37 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7))))))))))))))))
& sK35 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7))))))))))))))))
& sK36 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6))))))))))))))))
& sK34 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6))))))))))))))))
& sK33 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5))))))))))))))))
& sK31 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5))))))))))))))))
& sK32 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4))))))))))))))))
& sK30 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4))))))))))))))))
& sK29 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3))))))))))))))))
& sK27 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3))))))))))))))))
& sK28 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK2))))))))))))))))
& sK26 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK2))))))))))))))))
& sK25 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1))))))))))))))))
& sK23 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1))))))))))))))))
& sK24 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0))))))))))))))))
& sK22 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0))))))))))))))))
& ( n15 = sK1
| n14 = sK1
| n13 = sK1
| n12 = sK1
| n11 = sK1
| n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 )
& ( n15 = sK0
| n14 = sK0
| n13 = sK0
| n12 = sK0
| n11 = sK0
| n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 )
& n14 = sum(n15,n15)
& n13 = sum(n15,n14)
& n12 = sum(n15,n13)
& n11 = sum(n15,n12)
& n10 = sum(n15,n11)
& n9 = sum(n15,n10)
& n8 = sum(n15,n9)
& n7 = sum(n15,n8)
& n6 = sum(n15,n7)
& n5 = sum(n15,n6)
& n4 = sum(n15,n5)
& n3 = sum(n15,n4)
& n2 = sum(n15,n3)
& n1 = sum(n15,n2)
& n0 = sum(n15,n1)
& n15 = sum(n15,n0)
& n13 = sum(n14,n15)
& n12 = sum(n14,n14)
& n11 = sum(n14,n13)
& n10 = sum(n14,n12)
& n9 = sum(n14,n11)
& n8 = sum(n14,n10)
& n7 = sum(n14,n9)
& n6 = sum(n14,n8)
& n5 = sum(n14,n7)
& n4 = sum(n14,n6)
& n3 = sum(n14,n5)
& n2 = sum(n14,n4)
& n1 = sum(n14,n3)
& n0 = sum(n14,n2)
& n15 = sum(n14,n1)
& n14 = sum(n14,n0)
& n12 = sum(n13,n15)
& n11 = sum(n13,n14)
& n10 = sum(n13,n13)
& n9 = sum(n13,n12)
& n8 = sum(n13,n11)
& n7 = sum(n13,n10)
& n6 = sum(n13,n9)
& n5 = sum(n13,n8)
& n4 = sum(n13,n7)
& n3 = sum(n13,n6)
& n2 = sum(n13,n5)
& n1 = sum(n13,n4)
& n0 = sum(n13,n3)
& n15 = sum(n13,n2)
& n14 = sum(n13,n1)
& n13 = sum(n13,n0)
& n11 = sum(n12,n15)
& n10 = sum(n12,n14)
& n9 = sum(n12,n13)
& n8 = sum(n12,n12)
& n7 = sum(n12,n11)
& n6 = sum(n12,n10)
& n5 = sum(n12,n9)
& n4 = sum(n12,n8)
& n3 = sum(n12,n7)
& n2 = sum(n12,n6)
& n1 = sum(n12,n5)
& n0 = sum(n12,n4)
& n15 = sum(n12,n3)
& n14 = sum(n12,n2)
& n13 = sum(n12,n1)
& n12 = sum(n12,n0)
& n10 = sum(n11,n15)
& n9 = sum(n11,n14)
& n8 = sum(n11,n13)
& n7 = sum(n11,n12)
& n6 = sum(n11,n11)
& n5 = sum(n11,n10)
& n4 = sum(n11,n9)
& n3 = sum(n11,n8)
& n2 = sum(n11,n7)
& n1 = sum(n11,n6)
& n0 = sum(n11,n5)
& n15 = sum(n11,n4)
& n14 = sum(n11,n3)
& n13 = sum(n11,n2)
& n12 = sum(n11,n1)
& n11 = sum(n11,n0)
& n9 = sum(n10,n15)
& n8 = sum(n10,n14)
& n7 = sum(n10,n13)
& n6 = sum(n10,n12)
& n5 = sum(n10,n11)
& n4 = sum(n10,n10)
& n3 = sum(n10,n9)
& n2 = sum(n10,n8)
& n1 = sum(n10,n7)
& n0 = sum(n10,n6)
& n15 = sum(n10,n5)
& n14 = sum(n10,n4)
& n13 = sum(n10,n3)
& n12 = sum(n10,n2)
& n11 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n15)
& n7 = sum(n9,n14)
& n6 = sum(n9,n13)
& n5 = sum(n9,n12)
& n4 = sum(n9,n11)
& n3 = sum(n9,n10)
& n2 = sum(n9,n9)
& n1 = sum(n9,n8)
& n0 = sum(n9,n7)
& n15 = sum(n9,n6)
& n14 = sum(n9,n5)
& n13 = sum(n9,n4)
& n12 = sum(n9,n3)
& n11 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n15)
& n6 = sum(n8,n14)
& n5 = sum(n8,n13)
& n4 = sum(n8,n12)
& n3 = sum(n8,n11)
& n2 = sum(n8,n10)
& n1 = sum(n8,n9)
& n0 = sum(n8,n8)
& n15 = sum(n8,n7)
& n14 = sum(n8,n6)
& n13 = sum(n8,n5)
& n12 = sum(n8,n4)
& n11 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n15)
& n5 = sum(n7,n14)
& n4 = sum(n7,n13)
& n3 = sum(n7,n12)
& n2 = sum(n7,n11)
& n1 = sum(n7,n10)
& n0 = sum(n7,n9)
& n15 = sum(n7,n8)
& n14 = sum(n7,n7)
& n13 = sum(n7,n6)
& n12 = sum(n7,n5)
& n11 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n15)
& n4 = sum(n6,n14)
& n3 = sum(n6,n13)
& n2 = sum(n6,n12)
& n1 = sum(n6,n11)
& n0 = sum(n6,n10)
& n15 = sum(n6,n9)
& n14 = sum(n6,n8)
& n13 = sum(n6,n7)
& n12 = sum(n6,n6)
& n11 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n15)
& n3 = sum(n5,n14)
& n2 = sum(n5,n13)
& n1 = sum(n5,n12)
& n0 = sum(n5,n11)
& n15 = sum(n5,n10)
& n14 = sum(n5,n9)
& n13 = sum(n5,n8)
& n12 = sum(n5,n7)
& n11 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n15)
& n2 = sum(n4,n14)
& n1 = sum(n4,n13)
& n0 = sum(n4,n12)
& n15 = sum(n4,n11)
& n14 = sum(n4,n10)
& n13 = sum(n4,n9)
& n12 = sum(n4,n8)
& n11 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n15)
& n1 = sum(n3,n14)
& n0 = sum(n3,n13)
& n15 = sum(n3,n12)
& n14 = sum(n3,n11)
& n13 = sum(n3,n10)
& n12 = sum(n3,n9)
& n11 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n15)
& n0 = sum(n2,n14)
& n15 = sum(n2,n13)
& n14 = sum(n2,n12)
& n13 = sum(n2,n11)
& n12 = sum(n2,n10)
& n11 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n15)
& n15 = sum(n1,n14)
& n14 = sum(n1,n13)
& n13 = sum(n1,n12)
& n12 = sum(n1,n11)
& n11 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n15 = sum(n0,n15)
& n14 = sum(n0,n14)
& n13 = sum(n0,n13)
& n12 = sum(n0,n12)
& n11 = sum(n0,n11)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n14 = pred(n15)
& n13 = pred(n14)
& n12 = pred(n13)
& n11 = pred(n12)
& n10 = pred(n11)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n15 = pred(n0)
& n0 = succ(n15)
& succ(n14) = n15
& succ(n13) = n14
& succ(n12) = n13
& succ(n11) = n12
& succ(n10) = n11
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49,sK50,sK51,sK52,sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60,sK61])],[f1,f2]) ).
fof(f2,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61] :
( n14 != n15
& n13 != n15
& n13 != n14
& n12 != n15
& n12 != n14
& n12 != n13
& n11 != n15
& n11 != n14
& n11 != n13
& n11 != n12
& n10 != n15
& n10 != n14
& n10 != n13
& n10 != n12
& n10 != n11
& n9 != n15
& n9 != n14
& n9 != n13
& n9 != n12
& n9 != n11
& n9 != n10
& n8 != n15
& n8 != n14
& n8 != n13
& n8 != n12
& n8 != n11
& n8 != n10
& n8 != n9
& n7 != n15
& n7 != n14
& n7 != n13
& n7 != n12
& n7 != n11
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n15
& n6 != n14
& n6 != n13
& n6 != n12
& n6 != n11
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n15
& n5 != n14
& n5 != n13
& n5 != n12
& n5 != n11
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n15
& n4 != n14
& n4 != n13
& n4 != n12
& n4 != n11
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n15
& n3 != n14
& n3 != n13
& n3 != n12
& n3 != n11
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n15
& n2 != n14
& n2 != n13
& n2 != n12
& n2 != n11
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n15
& n1 != n14
& n1 != n13
& n1 != n12
& n1 != n11
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n15
& n0 != n14
& n0 != n13
& n0 != n12
& n0 != n11
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& ( X20 != X21
| X18 != X19
| X16 != X17
| X14 != X15 )
& sum(pred(X60),sum(succ(X58),sum(pred(X61),succ(X59)))) = X21
& sum(sum(pred(X18),succ(X19)),sum(pred(X19),succ(X18))) = X20
& sum(pred(X56),sum(succ(X54),sum(pred(X57),succ(X55)))) = X19
& sum(sum(pred(X16),succ(X17)),sum(pred(X17),succ(X16))) = X18
& sum(pred(X52),sum(succ(X50),sum(pred(X53),succ(X51)))) = X17
& sum(sum(pred(X14),succ(X15)),sum(pred(X15),succ(X14))) = X16
& sum(pred(X48),sum(succ(X46),sum(pred(X49),succ(X47)))) = X15
& sum(sum(pred(X12),succ(X13)),sum(pred(X13),succ(X12))) = X14
& sum(pred(X44),sum(succ(X42),sum(pred(X45),succ(X43)))) = X13
& sum(sum(pred(X10),succ(X11)),sum(pred(X11),succ(X10))) = X12
& sum(pred(X40),sum(succ(X38),sum(pred(X41),succ(X39)))) = X11
& sum(sum(pred(X8),succ(X9)),sum(pred(X9),succ(X8))) = X10
& sum(pred(X36),sum(succ(X34),sum(pred(X37),succ(X35)))) = X9
& sum(sum(pred(X6),succ(X7)),sum(pred(X7),succ(X6))) = X8
& sum(pred(X32),sum(succ(X30),sum(pred(X33),succ(X31)))) = X7
& sum(sum(pred(X4),succ(X5)),sum(pred(X5),succ(X4))) = X6
& sum(pred(X28),sum(succ(X26),sum(pred(X29),succ(X27)))) = X5
& sum(sum(pred(X2),succ(X3)),sum(pred(X3),succ(X2))) = X4
& sum(pred(X24),sum(succ(X22),sum(pred(X25),succ(X23)))) = X3
& sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) = X2
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X19)))))))))))))))) = X61
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X19)))))))))))))))) = X59
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X18)))))))))))))))) = X60
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X18)))))))))))))))) = X58
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X17)))))))))))))))) = X57
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X17)))))))))))))))) = X55
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X16)))))))))))))))) = X56
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X16)))))))))))))))) = X54
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X15)))))))))))))))) = X53
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X15)))))))))))))))) = X51
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X14)))))))))))))))) = X52
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X14)))))))))))))))) = X50
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X13)))))))))))))))) = X49
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X13)))))))))))))))) = X47
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X12)))))))))))))))) = X48
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X12)))))))))))))))) = X46
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X11)))))))))))))))) = X45
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X11)))))))))))))))) = X43
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X10)))))))))))))))) = X44
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X10)))))))))))))))) = X42
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X9)))))))))))))))) = X41
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X9)))))))))))))))) = X39
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X8)))))))))))))))) = X40
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X8)))))))))))))))) = X38
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X7)))))))))))))))) = X37
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X7)))))))))))))))) = X35
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X6)))))))))))))))) = X36
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X6)))))))))))))))) = X34
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X5)))))))))))))))) = X33
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X5)))))))))))))))) = X31
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X4)))))))))))))))) = X32
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X4)))))))))))))))) = X30
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X3)))))))))))))))) = X29
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X3)))))))))))))))) = X27
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X2)))))))))))))))) = X28
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X2)))))))))))))))) = X26
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X1)))))))))))))))) = X25
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X1)))))))))))))))) = X23
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X0)))))))))))))))) = X24
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X0)))))))))))))))) = X22
& ( n15 = X1
| n14 = X1
| n13 = X1
| n12 = X1
| n11 = X1
| n10 = X1
| n9 = X1
| n8 = X1
| n7 = X1
| n6 = X1
| n5 = X1
| n4 = X1
| n3 = X1
| n2 = X1
| n1 = X1
| n0 = X1 )
& ( n15 = X0
| n14 = X0
| n13 = X0
| n12 = X0
| n11 = X0
| n10 = X0
| n9 = X0
| n8 = X0
| n7 = X0
| n6 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 )
& n14 = sum(n15,n15)
& n13 = sum(n15,n14)
& n12 = sum(n15,n13)
& n11 = sum(n15,n12)
& n10 = sum(n15,n11)
& n9 = sum(n15,n10)
& n8 = sum(n15,n9)
& n7 = sum(n15,n8)
& n6 = sum(n15,n7)
& n5 = sum(n15,n6)
& n4 = sum(n15,n5)
& n3 = sum(n15,n4)
& n2 = sum(n15,n3)
& n1 = sum(n15,n2)
& n0 = sum(n15,n1)
& n15 = sum(n15,n0)
& n13 = sum(n14,n15)
& n12 = sum(n14,n14)
& n11 = sum(n14,n13)
& n10 = sum(n14,n12)
& n9 = sum(n14,n11)
& n8 = sum(n14,n10)
& n7 = sum(n14,n9)
& n6 = sum(n14,n8)
& n5 = sum(n14,n7)
& n4 = sum(n14,n6)
& n3 = sum(n14,n5)
& n2 = sum(n14,n4)
& n1 = sum(n14,n3)
& n0 = sum(n14,n2)
& n15 = sum(n14,n1)
& n14 = sum(n14,n0)
& n12 = sum(n13,n15)
& n11 = sum(n13,n14)
& n10 = sum(n13,n13)
& n9 = sum(n13,n12)
& n8 = sum(n13,n11)
& n7 = sum(n13,n10)
& n6 = sum(n13,n9)
& n5 = sum(n13,n8)
& n4 = sum(n13,n7)
& n3 = sum(n13,n6)
& n2 = sum(n13,n5)
& n1 = sum(n13,n4)
& n0 = sum(n13,n3)
& n15 = sum(n13,n2)
& n14 = sum(n13,n1)
& n13 = sum(n13,n0)
& n11 = sum(n12,n15)
& n10 = sum(n12,n14)
& n9 = sum(n12,n13)
& n8 = sum(n12,n12)
& n7 = sum(n12,n11)
& n6 = sum(n12,n10)
& n5 = sum(n12,n9)
& n4 = sum(n12,n8)
& n3 = sum(n12,n7)
& n2 = sum(n12,n6)
& n1 = sum(n12,n5)
& n0 = sum(n12,n4)
& n15 = sum(n12,n3)
& n14 = sum(n12,n2)
& n13 = sum(n12,n1)
& n12 = sum(n12,n0)
& n10 = sum(n11,n15)
& n9 = sum(n11,n14)
& n8 = sum(n11,n13)
& n7 = sum(n11,n12)
& n6 = sum(n11,n11)
& n5 = sum(n11,n10)
& n4 = sum(n11,n9)
& n3 = sum(n11,n8)
& n2 = sum(n11,n7)
& n1 = sum(n11,n6)
& n0 = sum(n11,n5)
& n15 = sum(n11,n4)
& n14 = sum(n11,n3)
& n13 = sum(n11,n2)
& n12 = sum(n11,n1)
& n11 = sum(n11,n0)
& n9 = sum(n10,n15)
& n8 = sum(n10,n14)
& n7 = sum(n10,n13)
& n6 = sum(n10,n12)
& n5 = sum(n10,n11)
& n4 = sum(n10,n10)
& n3 = sum(n10,n9)
& n2 = sum(n10,n8)
& n1 = sum(n10,n7)
& n0 = sum(n10,n6)
& n15 = sum(n10,n5)
& n14 = sum(n10,n4)
& n13 = sum(n10,n3)
& n12 = sum(n10,n2)
& n11 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n15)
& n7 = sum(n9,n14)
& n6 = sum(n9,n13)
& n5 = sum(n9,n12)
& n4 = sum(n9,n11)
& n3 = sum(n9,n10)
& n2 = sum(n9,n9)
& n1 = sum(n9,n8)
& n0 = sum(n9,n7)
& n15 = sum(n9,n6)
& n14 = sum(n9,n5)
& n13 = sum(n9,n4)
& n12 = sum(n9,n3)
& n11 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n15)
& n6 = sum(n8,n14)
& n5 = sum(n8,n13)
& n4 = sum(n8,n12)
& n3 = sum(n8,n11)
& n2 = sum(n8,n10)
& n1 = sum(n8,n9)
& n0 = sum(n8,n8)
& n15 = sum(n8,n7)
& n14 = sum(n8,n6)
& n13 = sum(n8,n5)
& n12 = sum(n8,n4)
& n11 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n15)
& n5 = sum(n7,n14)
& n4 = sum(n7,n13)
& n3 = sum(n7,n12)
& n2 = sum(n7,n11)
& n1 = sum(n7,n10)
& n0 = sum(n7,n9)
& n15 = sum(n7,n8)
& n14 = sum(n7,n7)
& n13 = sum(n7,n6)
& n12 = sum(n7,n5)
& n11 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n15)
& n4 = sum(n6,n14)
& n3 = sum(n6,n13)
& n2 = sum(n6,n12)
& n1 = sum(n6,n11)
& n0 = sum(n6,n10)
& n15 = sum(n6,n9)
& n14 = sum(n6,n8)
& n13 = sum(n6,n7)
& n12 = sum(n6,n6)
& n11 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n15)
& n3 = sum(n5,n14)
& n2 = sum(n5,n13)
& n1 = sum(n5,n12)
& n0 = sum(n5,n11)
& n15 = sum(n5,n10)
& n14 = sum(n5,n9)
& n13 = sum(n5,n8)
& n12 = sum(n5,n7)
& n11 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n15)
& n2 = sum(n4,n14)
& n1 = sum(n4,n13)
& n0 = sum(n4,n12)
& n15 = sum(n4,n11)
& n14 = sum(n4,n10)
& n13 = sum(n4,n9)
& n12 = sum(n4,n8)
& n11 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n15)
& n1 = sum(n3,n14)
& n0 = sum(n3,n13)
& n15 = sum(n3,n12)
& n14 = sum(n3,n11)
& n13 = sum(n3,n10)
& n12 = sum(n3,n9)
& n11 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n15)
& n0 = sum(n2,n14)
& n15 = sum(n2,n13)
& n14 = sum(n2,n12)
& n13 = sum(n2,n11)
& n12 = sum(n2,n10)
& n11 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n15)
& n15 = sum(n1,n14)
& n14 = sum(n1,n13)
& n13 = sum(n1,n12)
& n12 = sum(n1,n11)
& n11 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n15 = sum(n0,n15)
& n14 = sum(n0,n14)
& n13 = sum(n0,n13)
& n12 = sum(n0,n12)
& n11 = sum(n0,n11)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n14 = pred(n15)
& n13 = pred(n14)
& n12 = pred(n13)
& n11 = pred(n12)
& n10 = pred(n11)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n15 = pred(n0)
& n0 = succ(n15)
& succ(n14) = n15
& succ(n13) = n14
& succ(n12) = n13
& succ(n11) = n12
& succ(n10) = n11
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 )
=> ( n14 != n15
& n13 != n15
& n13 != n14
& n12 != n15
& n12 != n14
& n12 != n13
& n11 != n15
& n11 != n14
& n11 != n13
& n11 != n12
& n10 != n15
& n10 != n14
& n10 != n13
& n10 != n12
& n10 != n11
& n9 != n15
& n9 != n14
& n9 != n13
& n9 != n12
& n9 != n11
& n9 != n10
& n8 != n15
& n8 != n14
& n8 != n13
& n8 != n12
& n8 != n11
& n8 != n10
& n8 != n9
& n7 != n15
& n7 != n14
& n7 != n13
& n7 != n12
& n7 != n11
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n15
& n6 != n14
& n6 != n13
& n6 != n12
& n6 != n11
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n15
& n5 != n14
& n5 != n13
& n5 != n12
& n5 != n11
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n15
& n4 != n14
& n4 != n13
& n4 != n12
& n4 != n11
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n15
& n3 != n14
& n3 != n13
& n3 != n12
& n3 != n11
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n15
& n2 != n14
& n2 != n13
& n2 != n12
& n2 != n11
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n15
& n1 != n14
& n1 != n13
& n1 != n12
& n1 != n11
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n15
& n0 != n14
& n0 != n13
& n0 != n12
& n0 != n11
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& ( sK20 != sK21
| sK18 != sK19
| sK16 != sK17
| sK14 != sK15 )
& sK21 = sum(pred(sK60),sum(succ(sK58),sum(pred(sK61),succ(sK59))))
& sK20 = sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18)))
& sK19 = sum(pred(sK56),sum(succ(sK54),sum(pred(sK57),succ(sK55))))
& sK18 = sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16)))
& sK17 = sum(pred(sK52),sum(succ(sK50),sum(pred(sK53),succ(sK51))))
& sK16 = sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14)))
& sK15 = sum(pred(sK48),sum(succ(sK46),sum(pred(sK49),succ(sK47))))
& sK14 = sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12)))
& sK13 = sum(pred(sK44),sum(succ(sK42),sum(pred(sK45),succ(sK43))))
& sK12 = sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10)))
& sK11 = sum(pred(sK40),sum(succ(sK38),sum(pred(sK41),succ(sK39))))
& sK10 = sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8)))
& sK9 = sum(pred(sK36),sum(succ(sK34),sum(pred(sK37),succ(sK35))))
& sK8 = sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6)))
& sK7 = sum(pred(sK32),sum(succ(sK30),sum(pred(sK33),succ(sK31))))
& sK6 = sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4)))
& sK5 = sum(pred(sK28),sum(succ(sK26),sum(pred(sK29),succ(sK27))))
& sK4 = sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2)))
& sK3 = sum(pred(sK24),sum(succ(sK22),sum(pred(sK25),succ(sK23))))
& sK2 = sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0)))
& sK61 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK19))))))))))))))))
& sK59 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK19))))))))))))))))
& sK60 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18))))))))))))))))
& sK58 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18))))))))))))))))
& sK57 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17))))))))))))))))
& sK55 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17))))))))))))))))
& sK56 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16))))))))))))))))
& sK54 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16))))))))))))))))
& sK53 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15))))))))))))))))
& sK51 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15))))))))))))))))
& sK52 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14))))))))))))))))
& sK50 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14))))))))))))))))
& sK49 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13))))))))))))))))
& sK47 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13))))))))))))))))
& sK48 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12))))))))))))))))
& sK46 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12))))))))))))))))
& sK45 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK11))))))))))))))))
& sK43 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK11))))))))))))))))
& sK44 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10))))))))))))))))
& sK42 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10))))))))))))))))
& sK41 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK9))))))))))))))))
& sK39 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK9))))))))))))))))
& sK40 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8))))))))))))))))
& sK38 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8))))))))))))))))
& sK37 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7))))))))))))))))
& sK35 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7))))))))))))))))
& sK36 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6))))))))))))))))
& sK34 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6))))))))))))))))
& sK33 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5))))))))))))))))
& sK31 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5))))))))))))))))
& sK32 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4))))))))))))))))
& sK30 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4))))))))))))))))
& sK29 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3))))))))))))))))
& sK27 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3))))))))))))))))
& sK28 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK2))))))))))))))))
& sK26 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK2))))))))))))))))
& sK25 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1))))))))))))))))
& sK23 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1))))))))))))))))
& sK24 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0))))))))))))))))
& sK22 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0))))))))))))))))
& ( n15 = sK1
| n14 = sK1
| n13 = sK1
| n12 = sK1
| n11 = sK1
| n10 = sK1
| n9 = sK1
| n8 = sK1
| n7 = sK1
| n6 = sK1
| n5 = sK1
| n4 = sK1
| n3 = sK1
| n2 = sK1
| n1 = sK1
| n0 = sK1 )
& ( n15 = sK0
| n14 = sK0
| n13 = sK0
| n12 = sK0
| n11 = sK0
| n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 )
& n14 = sum(n15,n15)
& n13 = sum(n15,n14)
& n12 = sum(n15,n13)
& n11 = sum(n15,n12)
& n10 = sum(n15,n11)
& n9 = sum(n15,n10)
& n8 = sum(n15,n9)
& n7 = sum(n15,n8)
& n6 = sum(n15,n7)
& n5 = sum(n15,n6)
& n4 = sum(n15,n5)
& n3 = sum(n15,n4)
& n2 = sum(n15,n3)
& n1 = sum(n15,n2)
& n0 = sum(n15,n1)
& n15 = sum(n15,n0)
& n13 = sum(n14,n15)
& n12 = sum(n14,n14)
& n11 = sum(n14,n13)
& n10 = sum(n14,n12)
& n9 = sum(n14,n11)
& n8 = sum(n14,n10)
& n7 = sum(n14,n9)
& n6 = sum(n14,n8)
& n5 = sum(n14,n7)
& n4 = sum(n14,n6)
& n3 = sum(n14,n5)
& n2 = sum(n14,n4)
& n1 = sum(n14,n3)
& n0 = sum(n14,n2)
& n15 = sum(n14,n1)
& n14 = sum(n14,n0)
& n12 = sum(n13,n15)
& n11 = sum(n13,n14)
& n10 = sum(n13,n13)
& n9 = sum(n13,n12)
& n8 = sum(n13,n11)
& n7 = sum(n13,n10)
& n6 = sum(n13,n9)
& n5 = sum(n13,n8)
& n4 = sum(n13,n7)
& n3 = sum(n13,n6)
& n2 = sum(n13,n5)
& n1 = sum(n13,n4)
& n0 = sum(n13,n3)
& n15 = sum(n13,n2)
& n14 = sum(n13,n1)
& n13 = sum(n13,n0)
& n11 = sum(n12,n15)
& n10 = sum(n12,n14)
& n9 = sum(n12,n13)
& n8 = sum(n12,n12)
& n7 = sum(n12,n11)
& n6 = sum(n12,n10)
& n5 = sum(n12,n9)
& n4 = sum(n12,n8)
& n3 = sum(n12,n7)
& n2 = sum(n12,n6)
& n1 = sum(n12,n5)
& n0 = sum(n12,n4)
& n15 = sum(n12,n3)
& n14 = sum(n12,n2)
& n13 = sum(n12,n1)
& n12 = sum(n12,n0)
& n10 = sum(n11,n15)
& n9 = sum(n11,n14)
& n8 = sum(n11,n13)
& n7 = sum(n11,n12)
& n6 = sum(n11,n11)
& n5 = sum(n11,n10)
& n4 = sum(n11,n9)
& n3 = sum(n11,n8)
& n2 = sum(n11,n7)
& n1 = sum(n11,n6)
& n0 = sum(n11,n5)
& n15 = sum(n11,n4)
& n14 = sum(n11,n3)
& n13 = sum(n11,n2)
& n12 = sum(n11,n1)
& n11 = sum(n11,n0)
& n9 = sum(n10,n15)
& n8 = sum(n10,n14)
& n7 = sum(n10,n13)
& n6 = sum(n10,n12)
& n5 = sum(n10,n11)
& n4 = sum(n10,n10)
& n3 = sum(n10,n9)
& n2 = sum(n10,n8)
& n1 = sum(n10,n7)
& n0 = sum(n10,n6)
& n15 = sum(n10,n5)
& n14 = sum(n10,n4)
& n13 = sum(n10,n3)
& n12 = sum(n10,n2)
& n11 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n15)
& n7 = sum(n9,n14)
& n6 = sum(n9,n13)
& n5 = sum(n9,n12)
& n4 = sum(n9,n11)
& n3 = sum(n9,n10)
& n2 = sum(n9,n9)
& n1 = sum(n9,n8)
& n0 = sum(n9,n7)
& n15 = sum(n9,n6)
& n14 = sum(n9,n5)
& n13 = sum(n9,n4)
& n12 = sum(n9,n3)
& n11 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n15)
& n6 = sum(n8,n14)
& n5 = sum(n8,n13)
& n4 = sum(n8,n12)
& n3 = sum(n8,n11)
& n2 = sum(n8,n10)
& n1 = sum(n8,n9)
& n0 = sum(n8,n8)
& n15 = sum(n8,n7)
& n14 = sum(n8,n6)
& n13 = sum(n8,n5)
& n12 = sum(n8,n4)
& n11 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n15)
& n5 = sum(n7,n14)
& n4 = sum(n7,n13)
& n3 = sum(n7,n12)
& n2 = sum(n7,n11)
& n1 = sum(n7,n10)
& n0 = sum(n7,n9)
& n15 = sum(n7,n8)
& n14 = sum(n7,n7)
& n13 = sum(n7,n6)
& n12 = sum(n7,n5)
& n11 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n15)
& n4 = sum(n6,n14)
& n3 = sum(n6,n13)
& n2 = sum(n6,n12)
& n1 = sum(n6,n11)
& n0 = sum(n6,n10)
& n15 = sum(n6,n9)
& n14 = sum(n6,n8)
& n13 = sum(n6,n7)
& n12 = sum(n6,n6)
& n11 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n15)
& n3 = sum(n5,n14)
& n2 = sum(n5,n13)
& n1 = sum(n5,n12)
& n0 = sum(n5,n11)
& n15 = sum(n5,n10)
& n14 = sum(n5,n9)
& n13 = sum(n5,n8)
& n12 = sum(n5,n7)
& n11 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n15)
& n2 = sum(n4,n14)
& n1 = sum(n4,n13)
& n0 = sum(n4,n12)
& n15 = sum(n4,n11)
& n14 = sum(n4,n10)
& n13 = sum(n4,n9)
& n12 = sum(n4,n8)
& n11 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n15)
& n1 = sum(n3,n14)
& n0 = sum(n3,n13)
& n15 = sum(n3,n12)
& n14 = sum(n3,n11)
& n13 = sum(n3,n10)
& n12 = sum(n3,n9)
& n11 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n15)
& n0 = sum(n2,n14)
& n15 = sum(n2,n13)
& n14 = sum(n2,n12)
& n13 = sum(n2,n11)
& n12 = sum(n2,n10)
& n11 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n15)
& n15 = sum(n1,n14)
& n14 = sum(n1,n13)
& n13 = sum(n1,n12)
& n12 = sum(n1,n11)
& n11 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n15 = sum(n0,n15)
& n14 = sum(n0,n14)
& n13 = sum(n0,n13)
& n12 = sum(n0,n12)
& n11 = sum(n0,n11)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n14 = pred(n15)
& n13 = pred(n14)
& n12 = pred(n13)
& n11 = pred(n12)
& n10 = pred(n11)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n15 = pred(n0)
& n0 = succ(n15)
& succ(n14) = n15
& succ(n13) = n14
& succ(n12) = n13
& succ(n11) = n12
& succ(n10) = n11
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61] :
( n14 != n15
& n13 != n15
& n13 != n14
& n12 != n15
& n12 != n14
& n12 != n13
& n11 != n15
& n11 != n14
& n11 != n13
& n11 != n12
& n10 != n15
& n10 != n14
& n10 != n13
& n10 != n12
& n10 != n11
& n9 != n15
& n9 != n14
& n9 != n13
& n9 != n12
& n9 != n11
& n9 != n10
& n8 != n15
& n8 != n14
& n8 != n13
& n8 != n12
& n8 != n11
& n8 != n10
& n8 != n9
& n7 != n15
& n7 != n14
& n7 != n13
& n7 != n12
& n7 != n11
& n7 != n10
& n7 != n9
& n7 != n8
& n6 != n15
& n6 != n14
& n6 != n13
& n6 != n12
& n6 != n11
& n6 != n10
& n6 != n9
& n6 != n8
& n6 != n7
& n5 != n15
& n5 != n14
& n5 != n13
& n5 != n12
& n5 != n11
& n5 != n10
& n5 != n9
& n5 != n8
& n5 != n7
& n5 != n6
& n4 != n15
& n4 != n14
& n4 != n13
& n4 != n12
& n4 != n11
& n4 != n10
& n4 != n9
& n4 != n8
& n4 != n7
& n4 != n6
& n4 != n5
& n3 != n15
& n3 != n14
& n3 != n13
& n3 != n12
& n3 != n11
& n3 != n10
& n3 != n9
& n3 != n8
& n3 != n7
& n3 != n6
& n3 != n5
& n3 != n4
& n2 != n15
& n2 != n14
& n2 != n13
& n2 != n12
& n2 != n11
& n2 != n10
& n2 != n9
& n2 != n8
& n2 != n7
& n2 != n6
& n2 != n5
& n2 != n4
& n2 != n3
& n1 != n15
& n1 != n14
& n1 != n13
& n1 != n12
& n1 != n11
& n1 != n10
& n1 != n9
& n1 != n8
& n1 != n7
& n1 != n6
& n1 != n5
& n1 != n4
& n1 != n3
& n1 != n2
& n0 != n15
& n0 != n14
& n0 != n13
& n0 != n12
& n0 != n11
& n0 != n10
& n0 != n9
& n0 != n8
& n0 != n7
& n0 != n6
& n0 != n5
& n0 != n4
& n0 != n3
& n0 != n2
& n0 != n1
& ( X20 != X21
| X18 != X19
| X16 != X17
| X14 != X15 )
& sum(pred(X60),sum(succ(X58),sum(pred(X61),succ(X59)))) = X21
& sum(sum(pred(X18),succ(X19)),sum(pred(X19),succ(X18))) = X20
& sum(pred(X56),sum(succ(X54),sum(pred(X57),succ(X55)))) = X19
& sum(sum(pred(X16),succ(X17)),sum(pred(X17),succ(X16))) = X18
& sum(pred(X52),sum(succ(X50),sum(pred(X53),succ(X51)))) = X17
& sum(sum(pred(X14),succ(X15)),sum(pred(X15),succ(X14))) = X16
& sum(pred(X48),sum(succ(X46),sum(pred(X49),succ(X47)))) = X15
& sum(sum(pred(X12),succ(X13)),sum(pred(X13),succ(X12))) = X14
& sum(pred(X44),sum(succ(X42),sum(pred(X45),succ(X43)))) = X13
& sum(sum(pred(X10),succ(X11)),sum(pred(X11),succ(X10))) = X12
& sum(pred(X40),sum(succ(X38),sum(pred(X41),succ(X39)))) = X11
& sum(sum(pred(X8),succ(X9)),sum(pred(X9),succ(X8))) = X10
& sum(pred(X36),sum(succ(X34),sum(pred(X37),succ(X35)))) = X9
& sum(sum(pred(X6),succ(X7)),sum(pred(X7),succ(X6))) = X8
& sum(pred(X32),sum(succ(X30),sum(pred(X33),succ(X31)))) = X7
& sum(sum(pred(X4),succ(X5)),sum(pred(X5),succ(X4))) = X6
& sum(pred(X28),sum(succ(X26),sum(pred(X29),succ(X27)))) = X5
& sum(sum(pred(X2),succ(X3)),sum(pred(X3),succ(X2))) = X4
& sum(pred(X24),sum(succ(X22),sum(pred(X25),succ(X23)))) = X3
& sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) = X2
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X19)))))))))))))))) = X61
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X19)))))))))))))))) = X59
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X18)))))))))))))))) = X60
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X18)))))))))))))))) = X58
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X17)))))))))))))))) = X57
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X17)))))))))))))))) = X55
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X16)))))))))))))))) = X56
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X16)))))))))))))))) = X54
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X15)))))))))))))))) = X53
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X15)))))))))))))))) = X51
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X14)))))))))))))))) = X52
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X14)))))))))))))))) = X50
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X13)))))))))))))))) = X49
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X13)))))))))))))))) = X47
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X12)))))))))))))))) = X48
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X12)))))))))))))))) = X46
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X11)))))))))))))))) = X45
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X11)))))))))))))))) = X43
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X10)))))))))))))))) = X44
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X10)))))))))))))))) = X42
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X9)))))))))))))))) = X41
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X9)))))))))))))))) = X39
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X8)))))))))))))))) = X40
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X8)))))))))))))))) = X38
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X7)))))))))))))))) = X37
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X7)))))))))))))))) = X35
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X6)))))))))))))))) = X36
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X6)))))))))))))))) = X34
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X5)))))))))))))))) = X33
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X5)))))))))))))))) = X31
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X4)))))))))))))))) = X32
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X4)))))))))))))))) = X30
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X3)))))))))))))))) = X29
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X3)))))))))))))))) = X27
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X2)))))))))))))))) = X28
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X2)))))))))))))))) = X26
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X1)))))))))))))))) = X25
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X1)))))))))))))))) = X23
& succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X0)))))))))))))))) = X24
& pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X0)))))))))))))))) = X22
& ( n15 = X1
| n14 = X1
| n13 = X1
| n12 = X1
| n11 = X1
| n10 = X1
| n9 = X1
| n8 = X1
| n7 = X1
| n6 = X1
| n5 = X1
| n4 = X1
| n3 = X1
| n2 = X1
| n1 = X1
| n0 = X1 )
& ( n15 = X0
| n14 = X0
| n13 = X0
| n12 = X0
| n11 = X0
| n10 = X0
| n9 = X0
| n8 = X0
| n7 = X0
| n6 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 )
& n14 = sum(n15,n15)
& n13 = sum(n15,n14)
& n12 = sum(n15,n13)
& n11 = sum(n15,n12)
& n10 = sum(n15,n11)
& n9 = sum(n15,n10)
& n8 = sum(n15,n9)
& n7 = sum(n15,n8)
& n6 = sum(n15,n7)
& n5 = sum(n15,n6)
& n4 = sum(n15,n5)
& n3 = sum(n15,n4)
& n2 = sum(n15,n3)
& n1 = sum(n15,n2)
& n0 = sum(n15,n1)
& n15 = sum(n15,n0)
& n13 = sum(n14,n15)
& n12 = sum(n14,n14)
& n11 = sum(n14,n13)
& n10 = sum(n14,n12)
& n9 = sum(n14,n11)
& n8 = sum(n14,n10)
& n7 = sum(n14,n9)
& n6 = sum(n14,n8)
& n5 = sum(n14,n7)
& n4 = sum(n14,n6)
& n3 = sum(n14,n5)
& n2 = sum(n14,n4)
& n1 = sum(n14,n3)
& n0 = sum(n14,n2)
& n15 = sum(n14,n1)
& n14 = sum(n14,n0)
& n12 = sum(n13,n15)
& n11 = sum(n13,n14)
& n10 = sum(n13,n13)
& n9 = sum(n13,n12)
& n8 = sum(n13,n11)
& n7 = sum(n13,n10)
& n6 = sum(n13,n9)
& n5 = sum(n13,n8)
& n4 = sum(n13,n7)
& n3 = sum(n13,n6)
& n2 = sum(n13,n5)
& n1 = sum(n13,n4)
& n0 = sum(n13,n3)
& n15 = sum(n13,n2)
& n14 = sum(n13,n1)
& n13 = sum(n13,n0)
& n11 = sum(n12,n15)
& n10 = sum(n12,n14)
& n9 = sum(n12,n13)
& n8 = sum(n12,n12)
& n7 = sum(n12,n11)
& n6 = sum(n12,n10)
& n5 = sum(n12,n9)
& n4 = sum(n12,n8)
& n3 = sum(n12,n7)
& n2 = sum(n12,n6)
& n1 = sum(n12,n5)
& n0 = sum(n12,n4)
& n15 = sum(n12,n3)
& n14 = sum(n12,n2)
& n13 = sum(n12,n1)
& n12 = sum(n12,n0)
& n10 = sum(n11,n15)
& n9 = sum(n11,n14)
& n8 = sum(n11,n13)
& n7 = sum(n11,n12)
& n6 = sum(n11,n11)
& n5 = sum(n11,n10)
& n4 = sum(n11,n9)
& n3 = sum(n11,n8)
& n2 = sum(n11,n7)
& n1 = sum(n11,n6)
& n0 = sum(n11,n5)
& n15 = sum(n11,n4)
& n14 = sum(n11,n3)
& n13 = sum(n11,n2)
& n12 = sum(n11,n1)
& n11 = sum(n11,n0)
& n9 = sum(n10,n15)
& n8 = sum(n10,n14)
& n7 = sum(n10,n13)
& n6 = sum(n10,n12)
& n5 = sum(n10,n11)
& n4 = sum(n10,n10)
& n3 = sum(n10,n9)
& n2 = sum(n10,n8)
& n1 = sum(n10,n7)
& n0 = sum(n10,n6)
& n15 = sum(n10,n5)
& n14 = sum(n10,n4)
& n13 = sum(n10,n3)
& n12 = sum(n10,n2)
& n11 = sum(n10,n1)
& n10 = sum(n10,n0)
& n8 = sum(n9,n15)
& n7 = sum(n9,n14)
& n6 = sum(n9,n13)
& n5 = sum(n9,n12)
& n4 = sum(n9,n11)
& n3 = sum(n9,n10)
& n2 = sum(n9,n9)
& n1 = sum(n9,n8)
& n0 = sum(n9,n7)
& n15 = sum(n9,n6)
& n14 = sum(n9,n5)
& n13 = sum(n9,n4)
& n12 = sum(n9,n3)
& n11 = sum(n9,n2)
& n10 = sum(n9,n1)
& n9 = sum(n9,n0)
& n7 = sum(n8,n15)
& n6 = sum(n8,n14)
& n5 = sum(n8,n13)
& n4 = sum(n8,n12)
& n3 = sum(n8,n11)
& n2 = sum(n8,n10)
& n1 = sum(n8,n9)
& n0 = sum(n8,n8)
& n15 = sum(n8,n7)
& n14 = sum(n8,n6)
& n13 = sum(n8,n5)
& n12 = sum(n8,n4)
& n11 = sum(n8,n3)
& n10 = sum(n8,n2)
& n9 = sum(n8,n1)
& n8 = sum(n8,n0)
& n6 = sum(n7,n15)
& n5 = sum(n7,n14)
& n4 = sum(n7,n13)
& n3 = sum(n7,n12)
& n2 = sum(n7,n11)
& n1 = sum(n7,n10)
& n0 = sum(n7,n9)
& n15 = sum(n7,n8)
& n14 = sum(n7,n7)
& n13 = sum(n7,n6)
& n12 = sum(n7,n5)
& n11 = sum(n7,n4)
& n10 = sum(n7,n3)
& n9 = sum(n7,n2)
& n8 = sum(n7,n1)
& n7 = sum(n7,n0)
& n5 = sum(n6,n15)
& n4 = sum(n6,n14)
& n3 = sum(n6,n13)
& n2 = sum(n6,n12)
& n1 = sum(n6,n11)
& n0 = sum(n6,n10)
& n15 = sum(n6,n9)
& n14 = sum(n6,n8)
& n13 = sum(n6,n7)
& n12 = sum(n6,n6)
& n11 = sum(n6,n5)
& n10 = sum(n6,n4)
& n9 = sum(n6,n3)
& n8 = sum(n6,n2)
& n7 = sum(n6,n1)
& n6 = sum(n6,n0)
& n4 = sum(n5,n15)
& n3 = sum(n5,n14)
& n2 = sum(n5,n13)
& n1 = sum(n5,n12)
& n0 = sum(n5,n11)
& n15 = sum(n5,n10)
& n14 = sum(n5,n9)
& n13 = sum(n5,n8)
& n12 = sum(n5,n7)
& n11 = sum(n5,n6)
& n10 = sum(n5,n5)
& n9 = sum(n5,n4)
& n8 = sum(n5,n3)
& n7 = sum(n5,n2)
& n6 = sum(n5,n1)
& n5 = sum(n5,n0)
& n3 = sum(n4,n15)
& n2 = sum(n4,n14)
& n1 = sum(n4,n13)
& n0 = sum(n4,n12)
& n15 = sum(n4,n11)
& n14 = sum(n4,n10)
& n13 = sum(n4,n9)
& n12 = sum(n4,n8)
& n11 = sum(n4,n7)
& n10 = sum(n4,n6)
& n9 = sum(n4,n5)
& n8 = sum(n4,n4)
& n7 = sum(n4,n3)
& n6 = sum(n4,n2)
& n5 = sum(n4,n1)
& n4 = sum(n4,n0)
& n2 = sum(n3,n15)
& n1 = sum(n3,n14)
& n0 = sum(n3,n13)
& n15 = sum(n3,n12)
& n14 = sum(n3,n11)
& n13 = sum(n3,n10)
& n12 = sum(n3,n9)
& n11 = sum(n3,n8)
& n10 = sum(n3,n7)
& n9 = sum(n3,n6)
& n8 = sum(n3,n5)
& n7 = sum(n3,n4)
& n6 = sum(n3,n3)
& n5 = sum(n3,n2)
& n4 = sum(n3,n1)
& n3 = sum(n3,n0)
& n1 = sum(n2,n15)
& n0 = sum(n2,n14)
& n15 = sum(n2,n13)
& n14 = sum(n2,n12)
& n13 = sum(n2,n11)
& n12 = sum(n2,n10)
& n11 = sum(n2,n9)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n8 = sum(n2,n6)
& n7 = sum(n2,n5)
& n6 = sum(n2,n4)
& n5 = sum(n2,n3)
& n4 = sum(n2,n2)
& n3 = sum(n2,n1)
& n2 = sum(n2,n0)
& n0 = sum(n1,n15)
& n15 = sum(n1,n14)
& n14 = sum(n1,n13)
& n13 = sum(n1,n12)
& n12 = sum(n1,n11)
& n11 = sum(n1,n10)
& n10 = sum(n1,n9)
& n9 = sum(n1,n8)
& n8 = sum(n1,n7)
& n7 = sum(n1,n6)
& n6 = sum(n1,n5)
& n5 = sum(n1,n4)
& n4 = sum(n1,n3)
& n3 = sum(n1,n2)
& n2 = sum(n1,n1)
& n1 = sum(n1,n0)
& n15 = sum(n0,n15)
& n14 = sum(n0,n14)
& n13 = sum(n0,n13)
& n12 = sum(n0,n12)
& n11 = sum(n0,n11)
& n10 = sum(n0,n10)
& n9 = sum(n0,n9)
& n8 = sum(n0,n8)
& n7 = sum(n0,n7)
& n6 = sum(n0,n6)
& n5 = sum(n0,n5)
& n4 = sum(n0,n4)
& n3 = sum(n0,n3)
& n2 = sum(n0,n2)
& n1 = sum(n0,n1)
& n0 = sum(n0,n0)
& n14 = pred(n15)
& n13 = pred(n14)
& n12 = pred(n13)
& n11 = pred(n12)
& n10 = pred(n11)
& n9 = pred(n10)
& n8 = pred(n9)
& n7 = pred(n8)
& n6 = pred(n7)
& n5 = pred(n6)
& n4 = pred(n5)
& n3 = pred(n4)
& n2 = pred(n3)
& n1 = pred(n2)
& n0 = pred(n1)
& n15 = pred(n0)
& n0 = succ(n15)
& succ(n14) = n15
& succ(n13) = n14
& succ(n12) = n13
& succ(n11) = n12
& succ(n10) = n11
& succ(n9) = n10
& succ(n8) = n9
& succ(n7) = n8
& succ(n6) = n7
& succ(n5) = n6
& succ(n4) = n5
& succ(n3) = n4
& succ(n2) = n3
& succ(n1) = n2
& succ(n0) = n1 ),
file('/export/starexec/sandbox/tmp/tmp.ZrTwTet1CX/Vampire---4.8_23822',try_satisfy_this) ).
fof(f2953,plain,
( spl62_489
| ~ spl62_137
| ~ spl62_138
| ~ spl62_139
| ~ spl62_140
| ~ spl62_141
| ~ spl62_142
| ~ spl62_143
| ~ spl62_144
| ~ spl62_145
| ~ spl62_146
| ~ spl62_147
| ~ spl62_148
| ~ spl62_149
| ~ spl62_150
| ~ spl62_151
| ~ spl62_152
| ~ spl62_433
| ~ spl62_488 ),
inference(avatar_split_clause,[],[f2932,f2893,f2633,f1231,f1226,f1221,f1216,f1211,f1206,f1201,f1196,f1191,f1186,f1181,f1176,f1171,f1166,f1161,f1156,f2950]) ).
fof(f2950,plain,
( spl62_489
<=> n15 = sK22 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_489])]) ).
fof(f1156,plain,
( spl62_137
<=> n15 = pred(n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_137])]) ).
fof(f1161,plain,
( spl62_138
<=> n0 = pred(n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_138])]) ).
fof(f1166,plain,
( spl62_139
<=> n1 = pred(n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_139])]) ).
fof(f1171,plain,
( spl62_140
<=> n2 = pred(n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_140])]) ).
fof(f1176,plain,
( spl62_141
<=> n3 = pred(n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_141])]) ).
fof(f1181,plain,
( spl62_142
<=> n4 = pred(n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_142])]) ).
fof(f1186,plain,
( spl62_143
<=> n5 = pred(n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_143])]) ).
fof(f1191,plain,
( spl62_144
<=> n6 = pred(n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_144])]) ).
fof(f1196,plain,
( spl62_145
<=> n7 = pred(n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_145])]) ).
fof(f1201,plain,
( spl62_146
<=> n8 = pred(n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_146])]) ).
fof(f1206,plain,
( spl62_147
<=> n9 = pred(n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_147])]) ).
fof(f1211,plain,
( spl62_148
<=> n10 = pred(n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_148])]) ).
fof(f1216,plain,
( spl62_149
<=> n11 = pred(n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_149])]) ).
fof(f1221,plain,
( spl62_150
<=> n12 = pred(n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_150])]) ).
fof(f1226,plain,
( spl62_151
<=> n13 = pred(n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_151])]) ).
fof(f1231,plain,
( spl62_152
<=> n14 = pred(n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_152])]) ).
fof(f2633,plain,
( spl62_433
<=> sK22 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_433])]) ).
fof(f2893,plain,
( spl62_488
<=> n15 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_488])]) ).
fof(f2932,plain,
( n15 = sK22
| ~ spl62_137
| ~ spl62_138
| ~ spl62_139
| ~ spl62_140
| ~ spl62_141
| ~ spl62_142
| ~ spl62_143
| ~ spl62_144
| ~ spl62_145
| ~ spl62_146
| ~ spl62_147
| ~ spl62_148
| ~ spl62_149
| ~ spl62_150
| ~ spl62_151
| ~ spl62_152
| ~ spl62_433
| ~ spl62_488 ),
inference(forward_demodulation,[],[f2931,f1158]) ).
fof(f1158,plain,
( n15 = pred(n0)
| ~ spl62_137 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f2931,plain,
( pred(n0) = sK22
| ~ spl62_138
| ~ spl62_139
| ~ spl62_140
| ~ spl62_141
| ~ spl62_142
| ~ spl62_143
| ~ spl62_144
| ~ spl62_145
| ~ spl62_146
| ~ spl62_147
| ~ spl62_148
| ~ spl62_149
| ~ spl62_150
| ~ spl62_151
| ~ spl62_152
| ~ spl62_433
| ~ spl62_488 ),
inference(forward_demodulation,[],[f2930,f1163]) ).
fof(f1163,plain,
( n0 = pred(n1)
| ~ spl62_138 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f2930,plain,
( sK22 = pred(pred(n1))
| ~ spl62_139
| ~ spl62_140
| ~ spl62_141
| ~ spl62_142
| ~ spl62_143
| ~ spl62_144
| ~ spl62_145
| ~ spl62_146
| ~ spl62_147
| ~ spl62_148
| ~ spl62_149
| ~ spl62_150
| ~ spl62_151
| ~ spl62_152
| ~ spl62_433
| ~ spl62_488 ),
inference(forward_demodulation,[],[f2929,f1168]) ).
fof(f1168,plain,
( n1 = pred(n2)
| ~ spl62_139 ),
inference(avatar_component_clause,[],[f1166]) ).
fof(f2929,plain,
( sK22 = pred(pred(pred(n2)))
| ~ spl62_140
| ~ spl62_141
| ~ spl62_142
| ~ spl62_143
| ~ spl62_144
| ~ spl62_145
| ~ spl62_146
| ~ spl62_147
| ~ spl62_148
| ~ spl62_149
| ~ spl62_150
| ~ spl62_151
| ~ spl62_152
| ~ spl62_433
| ~ spl62_488 ),
inference(forward_demodulation,[],[f2928,f1173]) ).
fof(f1173,plain,
( n2 = pred(n3)
| ~ spl62_140 ),
inference(avatar_component_clause,[],[f1171]) ).
fof(f2928,plain,
( sK22 = pred(pred(pred(pred(n3))))
| ~ spl62_141
| ~ spl62_142
| ~ spl62_143
| ~ spl62_144
| ~ spl62_145
| ~ spl62_146
| ~ spl62_147
| ~ spl62_148
| ~ spl62_149
| ~ spl62_150
| ~ spl62_151
| ~ spl62_152
| ~ spl62_433
| ~ spl62_488 ),
inference(forward_demodulation,[],[f2927,f1178]) ).
fof(f1178,plain,
( n3 = pred(n4)
| ~ spl62_141 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f2927,plain,
( sK22 = pred(pred(pred(pred(pred(n4)))))
| ~ spl62_142
| ~ spl62_143
| ~ spl62_144
| ~ spl62_145
| ~ spl62_146
| ~ spl62_147
| ~ spl62_148
| ~ spl62_149
| ~ spl62_150
| ~ spl62_151
| ~ spl62_152
| ~ spl62_433
| ~ spl62_488 ),
inference(forward_demodulation,[],[f2926,f1183]) ).
fof(f1183,plain,
( n4 = pred(n5)
| ~ spl62_142 ),
inference(avatar_component_clause,[],[f1181]) ).
fof(f2926,plain,
( sK22 = pred(pred(pred(pred(pred(pred(n5))))))
| ~ spl62_143
| ~ spl62_144
| ~ spl62_145
| ~ spl62_146
| ~ spl62_147
| ~ spl62_148
| ~ spl62_149
| ~ spl62_150
| ~ spl62_151
| ~ spl62_152
| ~ spl62_433
| ~ spl62_488 ),
inference(forward_demodulation,[],[f2925,f1188]) ).
fof(f1188,plain,
( n5 = pred(n6)
| ~ spl62_143 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f2925,plain,
( sK22 = pred(pred(pred(pred(pred(pred(pred(n6)))))))
| ~ spl62_144
| ~ spl62_145
| ~ spl62_146
| ~ spl62_147
| ~ spl62_148
| ~ spl62_149
| ~ spl62_150
| ~ spl62_151
| ~ spl62_152
| ~ spl62_433
| ~ spl62_488 ),
inference(forward_demodulation,[],[f2924,f1193]) ).
fof(f1193,plain,
( n6 = pred(n7)
| ~ spl62_144 ),
inference(avatar_component_clause,[],[f1191]) ).
fof(f2924,plain,
( sK22 = pred(pred(pred(pred(pred(pred(pred(pred(n7))))))))
| ~ spl62_145
| ~ spl62_146
| ~ spl62_147
| ~ spl62_148
| ~ spl62_149
| ~ spl62_150
| ~ spl62_151
| ~ spl62_152
| ~ spl62_433
| ~ spl62_488 ),
inference(forward_demodulation,[],[f2923,f1198]) ).
fof(f1198,plain,
( n7 = pred(n8)
| ~ spl62_145 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f2923,plain,
( sK22 = pred(pred(pred(pred(pred(pred(pred(pred(pred(n8)))))))))
| ~ spl62_146
| ~ spl62_147
| ~ spl62_148
| ~ spl62_149
| ~ spl62_150
| ~ spl62_151
| ~ spl62_152
| ~ spl62_433
| ~ spl62_488 ),
inference(forward_demodulation,[],[f2922,f1203]) ).
fof(f1203,plain,
( n8 = pred(n9)
| ~ spl62_146 ),
inference(avatar_component_clause,[],[f1201]) ).
fof(f2922,plain,
( sK22 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n9))))))))))
| ~ spl62_147
| ~ spl62_148
| ~ spl62_149
| ~ spl62_150
| ~ spl62_151
| ~ spl62_152
| ~ spl62_433
| ~ spl62_488 ),
inference(forward_demodulation,[],[f2921,f1208]) ).
fof(f1208,plain,
( n9 = pred(n10)
| ~ spl62_147 ),
inference(avatar_component_clause,[],[f1206]) ).
fof(f2921,plain,
( sK22 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n10)))))))))))
| ~ spl62_148
| ~ spl62_149
| ~ spl62_150
| ~ spl62_151
| ~ spl62_152
| ~ spl62_433
| ~ spl62_488 ),
inference(forward_demodulation,[],[f2920,f1213]) ).
fof(f1213,plain,
( n10 = pred(n11)
| ~ spl62_148 ),
inference(avatar_component_clause,[],[f1211]) ).
fof(f2920,plain,
( sK22 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n11))))))))))))
| ~ spl62_149
| ~ spl62_150
| ~ spl62_151
| ~ spl62_152
| ~ spl62_433
| ~ spl62_488 ),
inference(forward_demodulation,[],[f2919,f1218]) ).
fof(f1218,plain,
( n11 = pred(n12)
| ~ spl62_149 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f2919,plain,
( sK22 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n12)))))))))))))
| ~ spl62_150
| ~ spl62_151
| ~ spl62_152
| ~ spl62_433
| ~ spl62_488 ),
inference(forward_demodulation,[],[f2918,f1223]) ).
fof(f1223,plain,
( n12 = pred(n13)
| ~ spl62_150 ),
inference(avatar_component_clause,[],[f1221]) ).
fof(f2918,plain,
( sK22 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n13))))))))))))))
| ~ spl62_151
| ~ spl62_152
| ~ spl62_433
| ~ spl62_488 ),
inference(forward_demodulation,[],[f2917,f1228]) ).
fof(f1228,plain,
( n13 = pred(n14)
| ~ spl62_151 ),
inference(avatar_component_clause,[],[f1226]) ).
fof(f2917,plain,
( sK22 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n14)))))))))))))))
| ~ spl62_152
| ~ spl62_433
| ~ spl62_488 ),
inference(forward_demodulation,[],[f2898,f1233]) ).
fof(f1233,plain,
( n14 = pred(n15)
| ~ spl62_152 ),
inference(avatar_component_clause,[],[f1231]) ).
fof(f2898,plain,
( sK22 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(n15))))))))))))))))
| ~ spl62_433
| ~ spl62_488 ),
inference(superposition,[],[f2635,f2895]) ).
fof(f2895,plain,
( n15 = sK0
| ~ spl62_488 ),
inference(avatar_component_clause,[],[f2893]) ).
fof(f2635,plain,
( sK22 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0))))))))))))))))
| ~ spl62_433 ),
inference(avatar_component_clause,[],[f2633]) ).
fof(f2896,plain,
( spl62_473
| spl62_474
| spl62_475
| spl62_476
| spl62_477
| spl62_478
| spl62_479
| spl62_480
| spl62_481
| spl62_482
| spl62_483
| spl62_484
| spl62_485
| spl62_486
| spl62_487
| spl62_488 ),
inference(avatar_split_clause,[],[f292,f2893,f2889,f2885,f2881,f2877,f2873,f2869,f2865,f2861,f2857,f2853,f2849,f2845,f2841,f2837,f2833]) ).
fof(f2833,plain,
( spl62_473
<=> n0 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_473])]) ).
fof(f2837,plain,
( spl62_474
<=> n1 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_474])]) ).
fof(f2841,plain,
( spl62_475
<=> n2 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_475])]) ).
fof(f2845,plain,
( spl62_476
<=> n3 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_476])]) ).
fof(f2849,plain,
( spl62_477
<=> n4 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_477])]) ).
fof(f2853,plain,
( spl62_478
<=> n5 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_478])]) ).
fof(f2857,plain,
( spl62_479
<=> n6 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_479])]) ).
fof(f2861,plain,
( spl62_480
<=> n7 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_480])]) ).
fof(f2865,plain,
( spl62_481
<=> n8 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_481])]) ).
fof(f2869,plain,
( spl62_482
<=> n9 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_482])]) ).
fof(f2873,plain,
( spl62_483
<=> n10 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_483])]) ).
fof(f2877,plain,
( spl62_484
<=> n11 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_484])]) ).
fof(f2881,plain,
( spl62_485
<=> n12 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_485])]) ).
fof(f2885,plain,
( spl62_486
<=> n13 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_486])]) ).
fof(f2889,plain,
( spl62_487
<=> n14 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_487])]) ).
fof(f292,plain,
( n15 = sK0
| n14 = sK0
| n13 = sK0
| n12 = sK0
| n11 = sK0
| n10 = sK0
| n9 = sK0
| n8 = sK0
| n7 = sK0
| n6 = sK0
| n5 = sK0
| n4 = sK0
| n3 = sK0
| n2 = sK0
| n1 = sK0
| n0 = sK0 ),
inference(cnf_transformation,[],[f3]) ).
fof(f2831,plain,
spl62_472,
inference(avatar_split_clause,[],[f333,f2828]) ).
fof(f2828,plain,
( spl62_472
<=> sK61 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK19)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_472])]) ).
fof(f333,plain,
sK61 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK19)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2826,plain,
spl62_471,
inference(avatar_split_clause,[],[f332,f2823]) ).
fof(f2823,plain,
( spl62_471
<=> sK59 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK19)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_471])]) ).
fof(f332,plain,
sK59 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK19)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2821,plain,
spl62_470,
inference(avatar_split_clause,[],[f331,f2818]) ).
fof(f2818,plain,
( spl62_470
<=> sK60 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_470])]) ).
fof(f331,plain,
sK60 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2816,plain,
spl62_469,
inference(avatar_split_clause,[],[f330,f2813]) ).
fof(f2813,plain,
( spl62_469
<=> sK58 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_469])]) ).
fof(f330,plain,
sK58 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2811,plain,
spl62_468,
inference(avatar_split_clause,[],[f329,f2808]) ).
fof(f2808,plain,
( spl62_468
<=> sK57 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_468])]) ).
fof(f329,plain,
sK57 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2806,plain,
spl62_467,
inference(avatar_split_clause,[],[f328,f2803]) ).
fof(f2803,plain,
( spl62_467
<=> sK55 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_467])]) ).
fof(f328,plain,
sK55 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2801,plain,
spl62_466,
inference(avatar_split_clause,[],[f327,f2798]) ).
fof(f2798,plain,
( spl62_466
<=> sK56 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_466])]) ).
fof(f327,plain,
sK56 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2796,plain,
spl62_465,
inference(avatar_split_clause,[],[f326,f2793]) ).
fof(f2793,plain,
( spl62_465
<=> sK54 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_465])]) ).
fof(f326,plain,
sK54 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2791,plain,
spl62_464,
inference(avatar_split_clause,[],[f325,f2788]) ).
fof(f2788,plain,
( spl62_464
<=> sK53 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_464])]) ).
fof(f325,plain,
sK53 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2786,plain,
spl62_463,
inference(avatar_split_clause,[],[f324,f2783]) ).
fof(f2783,plain,
( spl62_463
<=> sK51 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_463])]) ).
fof(f324,plain,
sK51 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2781,plain,
spl62_462,
inference(avatar_split_clause,[],[f323,f2778]) ).
fof(f2778,plain,
( spl62_462
<=> sK52 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_462])]) ).
fof(f323,plain,
sK52 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2776,plain,
spl62_461,
inference(avatar_split_clause,[],[f322,f2773]) ).
fof(f2773,plain,
( spl62_461
<=> sK50 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_461])]) ).
fof(f322,plain,
sK50 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2771,plain,
spl62_460,
inference(avatar_split_clause,[],[f321,f2768]) ).
fof(f2768,plain,
( spl62_460
<=> sK49 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_460])]) ).
fof(f321,plain,
sK49 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2766,plain,
spl62_459,
inference(avatar_split_clause,[],[f320,f2763]) ).
fof(f2763,plain,
( spl62_459
<=> sK47 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_459])]) ).
fof(f320,plain,
sK47 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2761,plain,
spl62_458,
inference(avatar_split_clause,[],[f319,f2758]) ).
fof(f2758,plain,
( spl62_458
<=> sK48 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_458])]) ).
fof(f319,plain,
sK48 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK12)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2756,plain,
spl62_457,
inference(avatar_split_clause,[],[f318,f2753]) ).
fof(f2753,plain,
( spl62_457
<=> sK46 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_457])]) ).
fof(f318,plain,
sK46 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK12)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2751,plain,
spl62_456,
inference(avatar_split_clause,[],[f317,f2748]) ).
fof(f2748,plain,
( spl62_456
<=> sK45 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK11)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_456])]) ).
fof(f317,plain,
sK45 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK11)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2746,plain,
spl62_455,
inference(avatar_split_clause,[],[f316,f2743]) ).
fof(f2743,plain,
( spl62_455
<=> sK43 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK11)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_455])]) ).
fof(f316,plain,
sK43 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK11)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2741,plain,
spl62_454,
inference(avatar_split_clause,[],[f315,f2738]) ).
fof(f2738,plain,
( spl62_454
<=> sK44 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_454])]) ).
fof(f315,plain,
sK44 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK10)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2736,plain,
spl62_453,
inference(avatar_split_clause,[],[f314,f2733]) ).
fof(f2733,plain,
( spl62_453
<=> sK42 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_453])]) ).
fof(f314,plain,
sK42 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK10)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2731,plain,
spl62_452,
inference(avatar_split_clause,[],[f313,f2728]) ).
fof(f2728,plain,
( spl62_452
<=> sK41 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK9)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_452])]) ).
fof(f313,plain,
sK41 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK9)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2726,plain,
spl62_451,
inference(avatar_split_clause,[],[f312,f2723]) ).
fof(f2723,plain,
( spl62_451
<=> sK39 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK9)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_451])]) ).
fof(f312,plain,
sK39 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK9)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2721,plain,
spl62_450,
inference(avatar_split_clause,[],[f311,f2718]) ).
fof(f2718,plain,
( spl62_450
<=> sK40 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_450])]) ).
fof(f311,plain,
sK40 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2716,plain,
spl62_449,
inference(avatar_split_clause,[],[f310,f2713]) ).
fof(f2713,plain,
( spl62_449
<=> sK38 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_449])]) ).
fof(f310,plain,
sK38 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2711,plain,
spl62_448,
inference(avatar_split_clause,[],[f309,f2708]) ).
fof(f2708,plain,
( spl62_448
<=> sK37 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_448])]) ).
fof(f309,plain,
sK37 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2706,plain,
spl62_447,
inference(avatar_split_clause,[],[f308,f2703]) ).
fof(f2703,plain,
( spl62_447
<=> sK35 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_447])]) ).
fof(f308,plain,
sK35 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2701,plain,
spl62_446,
inference(avatar_split_clause,[],[f307,f2698]) ).
fof(f2698,plain,
( spl62_446
<=> sK36 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_446])]) ).
fof(f307,plain,
sK36 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2696,plain,
spl62_445,
inference(avatar_split_clause,[],[f306,f2693]) ).
fof(f2693,plain,
( spl62_445
<=> sK34 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_445])]) ).
fof(f306,plain,
sK34 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2691,plain,
spl62_444,
inference(avatar_split_clause,[],[f305,f2688]) ).
fof(f2688,plain,
( spl62_444
<=> sK33 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_444])]) ).
fof(f305,plain,
sK33 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2686,plain,
spl62_443,
inference(avatar_split_clause,[],[f304,f2683]) ).
fof(f2683,plain,
( spl62_443
<=> sK31 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_443])]) ).
fof(f304,plain,
sK31 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2681,plain,
spl62_442,
inference(avatar_split_clause,[],[f303,f2678]) ).
fof(f2678,plain,
( spl62_442
<=> sK32 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_442])]) ).
fof(f303,plain,
sK32 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2676,plain,
spl62_441,
inference(avatar_split_clause,[],[f302,f2673]) ).
fof(f2673,plain,
( spl62_441
<=> sK30 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_441])]) ).
fof(f302,plain,
sK30 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2671,plain,
spl62_440,
inference(avatar_split_clause,[],[f301,f2668]) ).
fof(f2668,plain,
( spl62_440
<=> sK29 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_440])]) ).
fof(f301,plain,
sK29 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2666,plain,
spl62_439,
inference(avatar_split_clause,[],[f300,f2663]) ).
fof(f2663,plain,
( spl62_439
<=> sK27 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_439])]) ).
fof(f300,plain,
sK27 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2661,plain,
spl62_438,
inference(avatar_split_clause,[],[f299,f2658]) ).
fof(f2658,plain,
( spl62_438
<=> sK28 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK2)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_438])]) ).
fof(f299,plain,
sK28 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK2)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2656,plain,
spl62_437,
inference(avatar_split_clause,[],[f298,f2653]) ).
fof(f2653,plain,
( spl62_437
<=> sK26 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK2)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_437])]) ).
fof(f298,plain,
sK26 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK2)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2651,plain,
spl62_436,
inference(avatar_split_clause,[],[f297,f2648]) ).
fof(f2648,plain,
( spl62_436
<=> sK25 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_436])]) ).
fof(f297,plain,
sK25 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2646,plain,
spl62_435,
inference(avatar_split_clause,[],[f296,f2643]) ).
fof(f2643,plain,
( spl62_435
<=> sK23 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_435])]) ).
fof(f296,plain,
sK23 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2641,plain,
spl62_434,
inference(avatar_split_clause,[],[f295,f2638]) ).
fof(f2638,plain,
( spl62_434
<=> sK24 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0)))))))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_434])]) ).
fof(f295,plain,
sK24 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK0)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2636,plain,
spl62_433,
inference(avatar_split_clause,[],[f294,f2633]) ).
fof(f294,plain,
sK22 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK0)))))))))))))))),
inference(cnf_transformation,[],[f3]) ).
fof(f2631,plain,
spl62_432,
inference(avatar_split_clause,[],[f353,f2628]) ).
fof(f2628,plain,
( spl62_432
<=> sK21 = sum(pred(sK60),sum(succ(sK58),sum(pred(sK61),succ(sK59)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_432])]) ).
fof(f353,plain,
sK21 = sum(pred(sK60),sum(succ(sK58),sum(pred(sK61),succ(sK59)))),
inference(cnf_transformation,[],[f3]) ).
fof(f2626,plain,
spl62_431,
inference(avatar_split_clause,[],[f352,f2623]) ).
fof(f2623,plain,
( spl62_431
<=> sK20 = sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_431])]) ).
fof(f352,plain,
sK20 = sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18))),
inference(cnf_transformation,[],[f3]) ).
fof(f2621,plain,
spl62_430,
inference(avatar_split_clause,[],[f351,f2618]) ).
fof(f2618,plain,
( spl62_430
<=> sK19 = sum(pred(sK56),sum(succ(sK54),sum(pred(sK57),succ(sK55)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_430])]) ).
fof(f351,plain,
sK19 = sum(pred(sK56),sum(succ(sK54),sum(pred(sK57),succ(sK55)))),
inference(cnf_transformation,[],[f3]) ).
fof(f2616,plain,
spl62_429,
inference(avatar_split_clause,[],[f350,f2613]) ).
fof(f2613,plain,
( spl62_429
<=> sK18 = sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_429])]) ).
fof(f350,plain,
sK18 = sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16))),
inference(cnf_transformation,[],[f3]) ).
fof(f2611,plain,
spl62_428,
inference(avatar_split_clause,[],[f349,f2608]) ).
fof(f2608,plain,
( spl62_428
<=> sK17 = sum(pred(sK52),sum(succ(sK50),sum(pred(sK53),succ(sK51)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_428])]) ).
fof(f349,plain,
sK17 = sum(pred(sK52),sum(succ(sK50),sum(pred(sK53),succ(sK51)))),
inference(cnf_transformation,[],[f3]) ).
fof(f2606,plain,
spl62_427,
inference(avatar_split_clause,[],[f348,f2603]) ).
fof(f2603,plain,
( spl62_427
<=> sK16 = sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_427])]) ).
fof(f348,plain,
sK16 = sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14))),
inference(cnf_transformation,[],[f3]) ).
fof(f2601,plain,
spl62_426,
inference(avatar_split_clause,[],[f347,f2598]) ).
fof(f2598,plain,
( spl62_426
<=> sK15 = sum(pred(sK48),sum(succ(sK46),sum(pred(sK49),succ(sK47)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_426])]) ).
fof(f347,plain,
sK15 = sum(pred(sK48),sum(succ(sK46),sum(pred(sK49),succ(sK47)))),
inference(cnf_transformation,[],[f3]) ).
fof(f2596,plain,
spl62_425,
inference(avatar_split_clause,[],[f346,f2593]) ).
fof(f2593,plain,
( spl62_425
<=> sK14 = sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_425])]) ).
fof(f346,plain,
sK14 = sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12))),
inference(cnf_transformation,[],[f3]) ).
fof(f2591,plain,
spl62_424,
inference(avatar_split_clause,[],[f345,f2588]) ).
fof(f2588,plain,
( spl62_424
<=> sK13 = sum(pred(sK44),sum(succ(sK42),sum(pred(sK45),succ(sK43)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_424])]) ).
fof(f345,plain,
sK13 = sum(pred(sK44),sum(succ(sK42),sum(pred(sK45),succ(sK43)))),
inference(cnf_transformation,[],[f3]) ).
fof(f2586,plain,
spl62_423,
inference(avatar_split_clause,[],[f344,f2583]) ).
fof(f2583,plain,
( spl62_423
<=> sK12 = sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_423])]) ).
fof(f344,plain,
sK12 = sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10))),
inference(cnf_transformation,[],[f3]) ).
fof(f2581,plain,
spl62_422,
inference(avatar_split_clause,[],[f343,f2578]) ).
fof(f2578,plain,
( spl62_422
<=> sK11 = sum(pred(sK40),sum(succ(sK38),sum(pred(sK41),succ(sK39)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_422])]) ).
fof(f343,plain,
sK11 = sum(pred(sK40),sum(succ(sK38),sum(pred(sK41),succ(sK39)))),
inference(cnf_transformation,[],[f3]) ).
fof(f2576,plain,
spl62_421,
inference(avatar_split_clause,[],[f342,f2573]) ).
fof(f2573,plain,
( spl62_421
<=> sK10 = sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_421])]) ).
fof(f342,plain,
sK10 = sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8))),
inference(cnf_transformation,[],[f3]) ).
fof(f2571,plain,
spl62_420,
inference(avatar_split_clause,[],[f341,f2568]) ).
fof(f2568,plain,
( spl62_420
<=> sK9 = sum(pred(sK36),sum(succ(sK34),sum(pred(sK37),succ(sK35)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_420])]) ).
fof(f341,plain,
sK9 = sum(pred(sK36),sum(succ(sK34),sum(pred(sK37),succ(sK35)))),
inference(cnf_transformation,[],[f3]) ).
fof(f2566,plain,
spl62_419,
inference(avatar_split_clause,[],[f340,f2563]) ).
fof(f2563,plain,
( spl62_419
<=> sK8 = sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_419])]) ).
fof(f340,plain,
sK8 = sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6))),
inference(cnf_transformation,[],[f3]) ).
fof(f2561,plain,
spl62_418,
inference(avatar_split_clause,[],[f339,f2558]) ).
fof(f2558,plain,
( spl62_418
<=> sK7 = sum(pred(sK32),sum(succ(sK30),sum(pred(sK33),succ(sK31)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_418])]) ).
fof(f339,plain,
sK7 = sum(pred(sK32),sum(succ(sK30),sum(pred(sK33),succ(sK31)))),
inference(cnf_transformation,[],[f3]) ).
fof(f2556,plain,
spl62_417,
inference(avatar_split_clause,[],[f338,f2553]) ).
fof(f2553,plain,
( spl62_417
<=> sK6 = sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_417])]) ).
fof(f338,plain,
sK6 = sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4))),
inference(cnf_transformation,[],[f3]) ).
fof(f2551,plain,
spl62_416,
inference(avatar_split_clause,[],[f337,f2548]) ).
fof(f2548,plain,
( spl62_416
<=> sK5 = sum(pred(sK28),sum(succ(sK26),sum(pred(sK29),succ(sK27)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_416])]) ).
fof(f337,plain,
sK5 = sum(pred(sK28),sum(succ(sK26),sum(pred(sK29),succ(sK27)))),
inference(cnf_transformation,[],[f3]) ).
fof(f2546,plain,
spl62_415,
inference(avatar_split_clause,[],[f336,f2543]) ).
fof(f2543,plain,
( spl62_415
<=> sK4 = sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_415])]) ).
fof(f336,plain,
sK4 = sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2))),
inference(cnf_transformation,[],[f3]) ).
fof(f2541,plain,
spl62_414,
inference(avatar_split_clause,[],[f335,f2538]) ).
fof(f2538,plain,
( spl62_414
<=> sK3 = sum(pred(sK24),sum(succ(sK22),sum(pred(sK25),succ(sK23)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_414])]) ).
fof(f335,plain,
sK3 = sum(pred(sK24),sum(succ(sK22),sum(pred(sK25),succ(sK23)))),
inference(cnf_transformation,[],[f3]) ).
fof(f2536,plain,
spl62_413,
inference(avatar_split_clause,[],[f334,f2533]) ).
fof(f2533,plain,
( spl62_413
<=> sK2 = sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_413])]) ).
fof(f334,plain,
sK2 = sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))),
inference(cnf_transformation,[],[f3]) ).
fof(f2531,plain,
( ~ spl62_409
| ~ spl62_410
| ~ spl62_411
| ~ spl62_412 ),
inference(avatar_split_clause,[],[f354,f2528,f2524,f2520,f2516]) ).
fof(f2516,plain,
( spl62_409
<=> sK14 = sK15 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_409])]) ).
fof(f2520,plain,
( spl62_410
<=> sK16 = sK17 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_410])]) ).
fof(f2524,plain,
( spl62_411
<=> sK18 = sK19 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_411])]) ).
fof(f2528,plain,
( spl62_412
<=> sK20 = sK21 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_412])]) ).
fof(f354,plain,
( sK20 != sK21
| sK18 != sK19
| sK16 != sK17
| sK14 != sK15 ),
inference(cnf_transformation,[],[f3]) ).
fof(f2514,plain,
spl62_408,
inference(avatar_split_clause,[],[f291,f2511]) ).
fof(f2511,plain,
( spl62_408
<=> n14 = sum(n15,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_408])]) ).
fof(f291,plain,
n14 = sum(n15,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f2509,plain,
spl62_407,
inference(avatar_split_clause,[],[f290,f2506]) ).
fof(f2506,plain,
( spl62_407
<=> n13 = sum(n15,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_407])]) ).
fof(f290,plain,
n13 = sum(n15,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f2504,plain,
spl62_406,
inference(avatar_split_clause,[],[f289,f2501]) ).
fof(f2501,plain,
( spl62_406
<=> n12 = sum(n15,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_406])]) ).
fof(f289,plain,
n12 = sum(n15,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f2499,plain,
spl62_405,
inference(avatar_split_clause,[],[f288,f2496]) ).
fof(f2496,plain,
( spl62_405
<=> n11 = sum(n15,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_405])]) ).
fof(f288,plain,
n11 = sum(n15,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f2494,plain,
spl62_404,
inference(avatar_split_clause,[],[f287,f2491]) ).
fof(f2491,plain,
( spl62_404
<=> n10 = sum(n15,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_404])]) ).
fof(f287,plain,
n10 = sum(n15,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f2489,plain,
spl62_403,
inference(avatar_split_clause,[],[f286,f2486]) ).
fof(f2486,plain,
( spl62_403
<=> n9 = sum(n15,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_403])]) ).
fof(f286,plain,
n9 = sum(n15,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f2484,plain,
spl62_402,
inference(avatar_split_clause,[],[f285,f2481]) ).
fof(f2481,plain,
( spl62_402
<=> n8 = sum(n15,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_402])]) ).
fof(f285,plain,
n8 = sum(n15,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f2479,plain,
spl62_401,
inference(avatar_split_clause,[],[f284,f2476]) ).
fof(f2476,plain,
( spl62_401
<=> n7 = sum(n15,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_401])]) ).
fof(f284,plain,
n7 = sum(n15,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f2474,plain,
spl62_400,
inference(avatar_split_clause,[],[f283,f2471]) ).
fof(f2471,plain,
( spl62_400
<=> n6 = sum(n15,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_400])]) ).
fof(f283,plain,
n6 = sum(n15,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f2469,plain,
spl62_399,
inference(avatar_split_clause,[],[f282,f2466]) ).
fof(f2466,plain,
( spl62_399
<=> n5 = sum(n15,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_399])]) ).
fof(f282,plain,
n5 = sum(n15,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f2464,plain,
spl62_398,
inference(avatar_split_clause,[],[f281,f2461]) ).
fof(f2461,plain,
( spl62_398
<=> n4 = sum(n15,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_398])]) ).
fof(f281,plain,
n4 = sum(n15,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f2459,plain,
spl62_397,
inference(avatar_split_clause,[],[f280,f2456]) ).
fof(f2456,plain,
( spl62_397
<=> n3 = sum(n15,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_397])]) ).
fof(f280,plain,
n3 = sum(n15,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f2454,plain,
spl62_396,
inference(avatar_split_clause,[],[f279,f2451]) ).
fof(f2451,plain,
( spl62_396
<=> n2 = sum(n15,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_396])]) ).
fof(f279,plain,
n2 = sum(n15,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f2449,plain,
spl62_395,
inference(avatar_split_clause,[],[f278,f2446]) ).
fof(f2446,plain,
( spl62_395
<=> n1 = sum(n15,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_395])]) ).
fof(f278,plain,
n1 = sum(n15,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f2444,plain,
spl62_394,
inference(avatar_split_clause,[],[f277,f2441]) ).
fof(f2441,plain,
( spl62_394
<=> n0 = sum(n15,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_394])]) ).
fof(f277,plain,
n0 = sum(n15,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f2439,plain,
spl62_393,
inference(avatar_split_clause,[],[f276,f2436]) ).
fof(f2436,plain,
( spl62_393
<=> n15 = sum(n15,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_393])]) ).
fof(f276,plain,
n15 = sum(n15,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f2434,plain,
spl62_392,
inference(avatar_split_clause,[],[f275,f2431]) ).
fof(f2431,plain,
( spl62_392
<=> n13 = sum(n14,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_392])]) ).
fof(f275,plain,
n13 = sum(n14,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f2429,plain,
spl62_391,
inference(avatar_split_clause,[],[f274,f2426]) ).
fof(f2426,plain,
( spl62_391
<=> n12 = sum(n14,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_391])]) ).
fof(f274,plain,
n12 = sum(n14,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f2424,plain,
spl62_390,
inference(avatar_split_clause,[],[f273,f2421]) ).
fof(f2421,plain,
( spl62_390
<=> n11 = sum(n14,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_390])]) ).
fof(f273,plain,
n11 = sum(n14,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f2419,plain,
spl62_389,
inference(avatar_split_clause,[],[f272,f2416]) ).
fof(f2416,plain,
( spl62_389
<=> n10 = sum(n14,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_389])]) ).
fof(f272,plain,
n10 = sum(n14,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f2414,plain,
spl62_388,
inference(avatar_split_clause,[],[f271,f2411]) ).
fof(f2411,plain,
( spl62_388
<=> n9 = sum(n14,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_388])]) ).
fof(f271,plain,
n9 = sum(n14,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f2409,plain,
spl62_387,
inference(avatar_split_clause,[],[f270,f2406]) ).
fof(f2406,plain,
( spl62_387
<=> n8 = sum(n14,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_387])]) ).
fof(f270,plain,
n8 = sum(n14,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f2404,plain,
spl62_386,
inference(avatar_split_clause,[],[f269,f2401]) ).
fof(f2401,plain,
( spl62_386
<=> n7 = sum(n14,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_386])]) ).
fof(f269,plain,
n7 = sum(n14,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f2399,plain,
spl62_385,
inference(avatar_split_clause,[],[f268,f2396]) ).
fof(f2396,plain,
( spl62_385
<=> n6 = sum(n14,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_385])]) ).
fof(f268,plain,
n6 = sum(n14,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f2394,plain,
spl62_384,
inference(avatar_split_clause,[],[f267,f2391]) ).
fof(f2391,plain,
( spl62_384
<=> n5 = sum(n14,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_384])]) ).
fof(f267,plain,
n5 = sum(n14,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f2389,plain,
spl62_383,
inference(avatar_split_clause,[],[f266,f2386]) ).
fof(f2386,plain,
( spl62_383
<=> n4 = sum(n14,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_383])]) ).
fof(f266,plain,
n4 = sum(n14,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f2384,plain,
spl62_382,
inference(avatar_split_clause,[],[f265,f2381]) ).
fof(f2381,plain,
( spl62_382
<=> n3 = sum(n14,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_382])]) ).
fof(f265,plain,
n3 = sum(n14,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f2379,plain,
spl62_381,
inference(avatar_split_clause,[],[f264,f2376]) ).
fof(f2376,plain,
( spl62_381
<=> n2 = sum(n14,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_381])]) ).
fof(f264,plain,
n2 = sum(n14,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f2374,plain,
spl62_380,
inference(avatar_split_clause,[],[f263,f2371]) ).
fof(f2371,plain,
( spl62_380
<=> n1 = sum(n14,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_380])]) ).
fof(f263,plain,
n1 = sum(n14,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f2369,plain,
spl62_379,
inference(avatar_split_clause,[],[f262,f2366]) ).
fof(f2366,plain,
( spl62_379
<=> n0 = sum(n14,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_379])]) ).
fof(f262,plain,
n0 = sum(n14,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f2364,plain,
spl62_378,
inference(avatar_split_clause,[],[f261,f2361]) ).
fof(f2361,plain,
( spl62_378
<=> n15 = sum(n14,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_378])]) ).
fof(f261,plain,
n15 = sum(n14,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f2359,plain,
spl62_377,
inference(avatar_split_clause,[],[f260,f2356]) ).
fof(f2356,plain,
( spl62_377
<=> n14 = sum(n14,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_377])]) ).
fof(f260,plain,
n14 = sum(n14,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f2354,plain,
spl62_376,
inference(avatar_split_clause,[],[f259,f2351]) ).
fof(f2351,plain,
( spl62_376
<=> n12 = sum(n13,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_376])]) ).
fof(f259,plain,
n12 = sum(n13,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f2349,plain,
spl62_375,
inference(avatar_split_clause,[],[f258,f2346]) ).
fof(f2346,plain,
( spl62_375
<=> n11 = sum(n13,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_375])]) ).
fof(f258,plain,
n11 = sum(n13,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f2344,plain,
spl62_374,
inference(avatar_split_clause,[],[f257,f2341]) ).
fof(f2341,plain,
( spl62_374
<=> n10 = sum(n13,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_374])]) ).
fof(f257,plain,
n10 = sum(n13,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f2339,plain,
spl62_373,
inference(avatar_split_clause,[],[f256,f2336]) ).
fof(f2336,plain,
( spl62_373
<=> n9 = sum(n13,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_373])]) ).
fof(f256,plain,
n9 = sum(n13,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f2334,plain,
spl62_372,
inference(avatar_split_clause,[],[f255,f2331]) ).
fof(f2331,plain,
( spl62_372
<=> n8 = sum(n13,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_372])]) ).
fof(f255,plain,
n8 = sum(n13,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f2329,plain,
spl62_371,
inference(avatar_split_clause,[],[f254,f2326]) ).
fof(f2326,plain,
( spl62_371
<=> n7 = sum(n13,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_371])]) ).
fof(f254,plain,
n7 = sum(n13,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f2324,plain,
spl62_370,
inference(avatar_split_clause,[],[f253,f2321]) ).
fof(f2321,plain,
( spl62_370
<=> n6 = sum(n13,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_370])]) ).
fof(f253,plain,
n6 = sum(n13,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f2319,plain,
spl62_369,
inference(avatar_split_clause,[],[f252,f2316]) ).
fof(f2316,plain,
( spl62_369
<=> n5 = sum(n13,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_369])]) ).
fof(f252,plain,
n5 = sum(n13,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f2314,plain,
spl62_368,
inference(avatar_split_clause,[],[f251,f2311]) ).
fof(f2311,plain,
( spl62_368
<=> n4 = sum(n13,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_368])]) ).
fof(f251,plain,
n4 = sum(n13,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f2309,plain,
spl62_367,
inference(avatar_split_clause,[],[f250,f2306]) ).
fof(f2306,plain,
( spl62_367
<=> n3 = sum(n13,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_367])]) ).
fof(f250,plain,
n3 = sum(n13,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f2304,plain,
spl62_366,
inference(avatar_split_clause,[],[f249,f2301]) ).
fof(f2301,plain,
( spl62_366
<=> n2 = sum(n13,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_366])]) ).
fof(f249,plain,
n2 = sum(n13,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f2299,plain,
spl62_365,
inference(avatar_split_clause,[],[f248,f2296]) ).
fof(f2296,plain,
( spl62_365
<=> n1 = sum(n13,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_365])]) ).
fof(f248,plain,
n1 = sum(n13,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f2294,plain,
spl62_364,
inference(avatar_split_clause,[],[f247,f2291]) ).
fof(f2291,plain,
( spl62_364
<=> n0 = sum(n13,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_364])]) ).
fof(f247,plain,
n0 = sum(n13,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f2289,plain,
spl62_363,
inference(avatar_split_clause,[],[f246,f2286]) ).
fof(f2286,plain,
( spl62_363
<=> n15 = sum(n13,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_363])]) ).
fof(f246,plain,
n15 = sum(n13,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f2284,plain,
spl62_362,
inference(avatar_split_clause,[],[f245,f2281]) ).
fof(f2281,plain,
( spl62_362
<=> n14 = sum(n13,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_362])]) ).
fof(f245,plain,
n14 = sum(n13,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f2279,plain,
spl62_361,
inference(avatar_split_clause,[],[f244,f2276]) ).
fof(f2276,plain,
( spl62_361
<=> n13 = sum(n13,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_361])]) ).
fof(f244,plain,
n13 = sum(n13,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f2274,plain,
spl62_360,
inference(avatar_split_clause,[],[f243,f2271]) ).
fof(f2271,plain,
( spl62_360
<=> n11 = sum(n12,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_360])]) ).
fof(f243,plain,
n11 = sum(n12,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f2269,plain,
spl62_359,
inference(avatar_split_clause,[],[f242,f2266]) ).
fof(f2266,plain,
( spl62_359
<=> n10 = sum(n12,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_359])]) ).
fof(f242,plain,
n10 = sum(n12,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f2264,plain,
spl62_358,
inference(avatar_split_clause,[],[f241,f2261]) ).
fof(f2261,plain,
( spl62_358
<=> n9 = sum(n12,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_358])]) ).
fof(f241,plain,
n9 = sum(n12,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f2259,plain,
spl62_357,
inference(avatar_split_clause,[],[f240,f2256]) ).
fof(f2256,plain,
( spl62_357
<=> n8 = sum(n12,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_357])]) ).
fof(f240,plain,
n8 = sum(n12,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f2254,plain,
spl62_356,
inference(avatar_split_clause,[],[f239,f2251]) ).
fof(f2251,plain,
( spl62_356
<=> n7 = sum(n12,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_356])]) ).
fof(f239,plain,
n7 = sum(n12,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f2249,plain,
spl62_355,
inference(avatar_split_clause,[],[f238,f2246]) ).
fof(f2246,plain,
( spl62_355
<=> n6 = sum(n12,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_355])]) ).
fof(f238,plain,
n6 = sum(n12,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f2244,plain,
spl62_354,
inference(avatar_split_clause,[],[f237,f2241]) ).
fof(f2241,plain,
( spl62_354
<=> n5 = sum(n12,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_354])]) ).
fof(f237,plain,
n5 = sum(n12,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f2239,plain,
spl62_353,
inference(avatar_split_clause,[],[f236,f2236]) ).
fof(f2236,plain,
( spl62_353
<=> n4 = sum(n12,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_353])]) ).
fof(f236,plain,
n4 = sum(n12,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f2234,plain,
spl62_352,
inference(avatar_split_clause,[],[f235,f2231]) ).
fof(f2231,plain,
( spl62_352
<=> n3 = sum(n12,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_352])]) ).
fof(f235,plain,
n3 = sum(n12,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f2229,plain,
spl62_351,
inference(avatar_split_clause,[],[f234,f2226]) ).
fof(f2226,plain,
( spl62_351
<=> n2 = sum(n12,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_351])]) ).
fof(f234,plain,
n2 = sum(n12,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f2224,plain,
spl62_350,
inference(avatar_split_clause,[],[f233,f2221]) ).
fof(f2221,plain,
( spl62_350
<=> n1 = sum(n12,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_350])]) ).
fof(f233,plain,
n1 = sum(n12,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f2219,plain,
spl62_349,
inference(avatar_split_clause,[],[f232,f2216]) ).
fof(f2216,plain,
( spl62_349
<=> n0 = sum(n12,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_349])]) ).
fof(f232,plain,
n0 = sum(n12,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f2214,plain,
spl62_348,
inference(avatar_split_clause,[],[f231,f2211]) ).
fof(f2211,plain,
( spl62_348
<=> n15 = sum(n12,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_348])]) ).
fof(f231,plain,
n15 = sum(n12,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f2209,plain,
spl62_347,
inference(avatar_split_clause,[],[f230,f2206]) ).
fof(f2206,plain,
( spl62_347
<=> n14 = sum(n12,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_347])]) ).
fof(f230,plain,
n14 = sum(n12,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f2204,plain,
spl62_346,
inference(avatar_split_clause,[],[f229,f2201]) ).
fof(f2201,plain,
( spl62_346
<=> n13 = sum(n12,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_346])]) ).
fof(f229,plain,
n13 = sum(n12,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f2199,plain,
spl62_345,
inference(avatar_split_clause,[],[f228,f2196]) ).
fof(f2196,plain,
( spl62_345
<=> n12 = sum(n12,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_345])]) ).
fof(f228,plain,
n12 = sum(n12,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f2194,plain,
spl62_344,
inference(avatar_split_clause,[],[f227,f2191]) ).
fof(f2191,plain,
( spl62_344
<=> n10 = sum(n11,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_344])]) ).
fof(f227,plain,
n10 = sum(n11,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f2189,plain,
spl62_343,
inference(avatar_split_clause,[],[f226,f2186]) ).
fof(f2186,plain,
( spl62_343
<=> n9 = sum(n11,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_343])]) ).
fof(f226,plain,
n9 = sum(n11,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f2184,plain,
spl62_342,
inference(avatar_split_clause,[],[f225,f2181]) ).
fof(f2181,plain,
( spl62_342
<=> n8 = sum(n11,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_342])]) ).
fof(f225,plain,
n8 = sum(n11,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f2179,plain,
spl62_341,
inference(avatar_split_clause,[],[f224,f2176]) ).
fof(f2176,plain,
( spl62_341
<=> n7 = sum(n11,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_341])]) ).
fof(f224,plain,
n7 = sum(n11,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f2174,plain,
spl62_340,
inference(avatar_split_clause,[],[f223,f2171]) ).
fof(f2171,plain,
( spl62_340
<=> n6 = sum(n11,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_340])]) ).
fof(f223,plain,
n6 = sum(n11,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f2169,plain,
spl62_339,
inference(avatar_split_clause,[],[f222,f2166]) ).
fof(f2166,plain,
( spl62_339
<=> n5 = sum(n11,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_339])]) ).
fof(f222,plain,
n5 = sum(n11,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f2164,plain,
spl62_338,
inference(avatar_split_clause,[],[f221,f2161]) ).
fof(f2161,plain,
( spl62_338
<=> n4 = sum(n11,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_338])]) ).
fof(f221,plain,
n4 = sum(n11,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f2159,plain,
spl62_337,
inference(avatar_split_clause,[],[f220,f2156]) ).
fof(f2156,plain,
( spl62_337
<=> n3 = sum(n11,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_337])]) ).
fof(f220,plain,
n3 = sum(n11,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f2154,plain,
spl62_336,
inference(avatar_split_clause,[],[f219,f2151]) ).
fof(f2151,plain,
( spl62_336
<=> n2 = sum(n11,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_336])]) ).
fof(f219,plain,
n2 = sum(n11,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f2149,plain,
spl62_335,
inference(avatar_split_clause,[],[f218,f2146]) ).
fof(f2146,plain,
( spl62_335
<=> n1 = sum(n11,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_335])]) ).
fof(f218,plain,
n1 = sum(n11,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f2144,plain,
spl62_334,
inference(avatar_split_clause,[],[f217,f2141]) ).
fof(f2141,plain,
( spl62_334
<=> n0 = sum(n11,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_334])]) ).
fof(f217,plain,
n0 = sum(n11,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f2139,plain,
spl62_333,
inference(avatar_split_clause,[],[f216,f2136]) ).
fof(f2136,plain,
( spl62_333
<=> n15 = sum(n11,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_333])]) ).
fof(f216,plain,
n15 = sum(n11,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f2134,plain,
spl62_332,
inference(avatar_split_clause,[],[f215,f2131]) ).
fof(f2131,plain,
( spl62_332
<=> n14 = sum(n11,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_332])]) ).
fof(f215,plain,
n14 = sum(n11,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f2129,plain,
spl62_331,
inference(avatar_split_clause,[],[f214,f2126]) ).
fof(f2126,plain,
( spl62_331
<=> n13 = sum(n11,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_331])]) ).
fof(f214,plain,
n13 = sum(n11,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f2124,plain,
spl62_330,
inference(avatar_split_clause,[],[f213,f2121]) ).
fof(f2121,plain,
( spl62_330
<=> n12 = sum(n11,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_330])]) ).
fof(f213,plain,
n12 = sum(n11,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f2119,plain,
spl62_329,
inference(avatar_split_clause,[],[f212,f2116]) ).
fof(f2116,plain,
( spl62_329
<=> n11 = sum(n11,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_329])]) ).
fof(f212,plain,
n11 = sum(n11,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f2114,plain,
spl62_328,
inference(avatar_split_clause,[],[f211,f2111]) ).
fof(f2111,plain,
( spl62_328
<=> n9 = sum(n10,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_328])]) ).
fof(f211,plain,
n9 = sum(n10,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f2109,plain,
spl62_327,
inference(avatar_split_clause,[],[f210,f2106]) ).
fof(f2106,plain,
( spl62_327
<=> n8 = sum(n10,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_327])]) ).
fof(f210,plain,
n8 = sum(n10,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f2104,plain,
spl62_326,
inference(avatar_split_clause,[],[f209,f2101]) ).
fof(f2101,plain,
( spl62_326
<=> n7 = sum(n10,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_326])]) ).
fof(f209,plain,
n7 = sum(n10,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f2099,plain,
spl62_325,
inference(avatar_split_clause,[],[f208,f2096]) ).
fof(f2096,plain,
( spl62_325
<=> n6 = sum(n10,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_325])]) ).
fof(f208,plain,
n6 = sum(n10,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f2094,plain,
spl62_324,
inference(avatar_split_clause,[],[f207,f2091]) ).
fof(f2091,plain,
( spl62_324
<=> n5 = sum(n10,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_324])]) ).
fof(f207,plain,
n5 = sum(n10,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f2089,plain,
spl62_323,
inference(avatar_split_clause,[],[f206,f2086]) ).
fof(f2086,plain,
( spl62_323
<=> n4 = sum(n10,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_323])]) ).
fof(f206,plain,
n4 = sum(n10,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f2084,plain,
spl62_322,
inference(avatar_split_clause,[],[f205,f2081]) ).
fof(f2081,plain,
( spl62_322
<=> n3 = sum(n10,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_322])]) ).
fof(f205,plain,
n3 = sum(n10,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f2079,plain,
spl62_321,
inference(avatar_split_clause,[],[f204,f2076]) ).
fof(f2076,plain,
( spl62_321
<=> n2 = sum(n10,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_321])]) ).
fof(f204,plain,
n2 = sum(n10,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f2074,plain,
spl62_320,
inference(avatar_split_clause,[],[f203,f2071]) ).
fof(f2071,plain,
( spl62_320
<=> n1 = sum(n10,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_320])]) ).
fof(f203,plain,
n1 = sum(n10,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f2069,plain,
spl62_319,
inference(avatar_split_clause,[],[f202,f2066]) ).
fof(f2066,plain,
( spl62_319
<=> n0 = sum(n10,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_319])]) ).
fof(f202,plain,
n0 = sum(n10,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f2064,plain,
spl62_318,
inference(avatar_split_clause,[],[f201,f2061]) ).
fof(f2061,plain,
( spl62_318
<=> n15 = sum(n10,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_318])]) ).
fof(f201,plain,
n15 = sum(n10,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f2059,plain,
spl62_317,
inference(avatar_split_clause,[],[f200,f2056]) ).
fof(f2056,plain,
( spl62_317
<=> n14 = sum(n10,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_317])]) ).
fof(f200,plain,
n14 = sum(n10,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f2054,plain,
spl62_316,
inference(avatar_split_clause,[],[f199,f2051]) ).
fof(f2051,plain,
( spl62_316
<=> n13 = sum(n10,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_316])]) ).
fof(f199,plain,
n13 = sum(n10,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f2049,plain,
spl62_315,
inference(avatar_split_clause,[],[f198,f2046]) ).
fof(f2046,plain,
( spl62_315
<=> n12 = sum(n10,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_315])]) ).
fof(f198,plain,
n12 = sum(n10,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f2044,plain,
spl62_314,
inference(avatar_split_clause,[],[f197,f2041]) ).
fof(f2041,plain,
( spl62_314
<=> n11 = sum(n10,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_314])]) ).
fof(f197,plain,
n11 = sum(n10,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f2039,plain,
spl62_313,
inference(avatar_split_clause,[],[f196,f2036]) ).
fof(f2036,plain,
( spl62_313
<=> n10 = sum(n10,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_313])]) ).
fof(f196,plain,
n10 = sum(n10,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f2034,plain,
spl62_312,
inference(avatar_split_clause,[],[f195,f2031]) ).
fof(f2031,plain,
( spl62_312
<=> n8 = sum(n9,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_312])]) ).
fof(f195,plain,
n8 = sum(n9,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f2029,plain,
spl62_311,
inference(avatar_split_clause,[],[f194,f2026]) ).
fof(f2026,plain,
( spl62_311
<=> n7 = sum(n9,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_311])]) ).
fof(f194,plain,
n7 = sum(n9,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f2024,plain,
spl62_310,
inference(avatar_split_clause,[],[f193,f2021]) ).
fof(f2021,plain,
( spl62_310
<=> n6 = sum(n9,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_310])]) ).
fof(f193,plain,
n6 = sum(n9,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f2019,plain,
spl62_309,
inference(avatar_split_clause,[],[f192,f2016]) ).
fof(f2016,plain,
( spl62_309
<=> n5 = sum(n9,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_309])]) ).
fof(f192,plain,
n5 = sum(n9,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f2014,plain,
spl62_308,
inference(avatar_split_clause,[],[f191,f2011]) ).
fof(f2011,plain,
( spl62_308
<=> n4 = sum(n9,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_308])]) ).
fof(f191,plain,
n4 = sum(n9,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f2009,plain,
spl62_307,
inference(avatar_split_clause,[],[f190,f2006]) ).
fof(f2006,plain,
( spl62_307
<=> n3 = sum(n9,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_307])]) ).
fof(f190,plain,
n3 = sum(n9,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f2004,plain,
spl62_306,
inference(avatar_split_clause,[],[f189,f2001]) ).
fof(f2001,plain,
( spl62_306
<=> n2 = sum(n9,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_306])]) ).
fof(f189,plain,
n2 = sum(n9,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f1999,plain,
spl62_305,
inference(avatar_split_clause,[],[f188,f1996]) ).
fof(f1996,plain,
( spl62_305
<=> n1 = sum(n9,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_305])]) ).
fof(f188,plain,
n1 = sum(n9,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f1994,plain,
spl62_304,
inference(avatar_split_clause,[],[f187,f1991]) ).
fof(f1991,plain,
( spl62_304
<=> n0 = sum(n9,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_304])]) ).
fof(f187,plain,
n0 = sum(n9,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f1989,plain,
spl62_303,
inference(avatar_split_clause,[],[f186,f1986]) ).
fof(f1986,plain,
( spl62_303
<=> n15 = sum(n9,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_303])]) ).
fof(f186,plain,
n15 = sum(n9,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f1984,plain,
spl62_302,
inference(avatar_split_clause,[],[f185,f1981]) ).
fof(f1981,plain,
( spl62_302
<=> n14 = sum(n9,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_302])]) ).
fof(f185,plain,
n14 = sum(n9,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f1979,plain,
spl62_301,
inference(avatar_split_clause,[],[f184,f1976]) ).
fof(f1976,plain,
( spl62_301
<=> n13 = sum(n9,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_301])]) ).
fof(f184,plain,
n13 = sum(n9,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f1974,plain,
spl62_300,
inference(avatar_split_clause,[],[f183,f1971]) ).
fof(f1971,plain,
( spl62_300
<=> n12 = sum(n9,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_300])]) ).
fof(f183,plain,
n12 = sum(n9,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f1969,plain,
spl62_299,
inference(avatar_split_clause,[],[f182,f1966]) ).
fof(f1966,plain,
( spl62_299
<=> n11 = sum(n9,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_299])]) ).
fof(f182,plain,
n11 = sum(n9,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f1964,plain,
spl62_298,
inference(avatar_split_clause,[],[f181,f1961]) ).
fof(f1961,plain,
( spl62_298
<=> n10 = sum(n9,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_298])]) ).
fof(f181,plain,
n10 = sum(n9,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f1959,plain,
spl62_297,
inference(avatar_split_clause,[],[f180,f1956]) ).
fof(f1956,plain,
( spl62_297
<=> n9 = sum(n9,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_297])]) ).
fof(f180,plain,
n9 = sum(n9,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f1954,plain,
spl62_296,
inference(avatar_split_clause,[],[f179,f1951]) ).
fof(f1951,plain,
( spl62_296
<=> n7 = sum(n8,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_296])]) ).
fof(f179,plain,
n7 = sum(n8,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f1949,plain,
spl62_295,
inference(avatar_split_clause,[],[f178,f1946]) ).
fof(f1946,plain,
( spl62_295
<=> n6 = sum(n8,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_295])]) ).
fof(f178,plain,
n6 = sum(n8,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f1944,plain,
spl62_294,
inference(avatar_split_clause,[],[f177,f1941]) ).
fof(f1941,plain,
( spl62_294
<=> n5 = sum(n8,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_294])]) ).
fof(f177,plain,
n5 = sum(n8,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f1939,plain,
spl62_293,
inference(avatar_split_clause,[],[f176,f1936]) ).
fof(f1936,plain,
( spl62_293
<=> n4 = sum(n8,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_293])]) ).
fof(f176,plain,
n4 = sum(n8,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f1934,plain,
spl62_292,
inference(avatar_split_clause,[],[f175,f1931]) ).
fof(f1931,plain,
( spl62_292
<=> n3 = sum(n8,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_292])]) ).
fof(f175,plain,
n3 = sum(n8,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f1929,plain,
spl62_291,
inference(avatar_split_clause,[],[f174,f1926]) ).
fof(f1926,plain,
( spl62_291
<=> n2 = sum(n8,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_291])]) ).
fof(f174,plain,
n2 = sum(n8,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f1924,plain,
spl62_290,
inference(avatar_split_clause,[],[f173,f1921]) ).
fof(f1921,plain,
( spl62_290
<=> n1 = sum(n8,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_290])]) ).
fof(f173,plain,
n1 = sum(n8,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f1919,plain,
spl62_289,
inference(avatar_split_clause,[],[f172,f1916]) ).
fof(f1916,plain,
( spl62_289
<=> n0 = sum(n8,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_289])]) ).
fof(f172,plain,
n0 = sum(n8,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f1914,plain,
spl62_288,
inference(avatar_split_clause,[],[f171,f1911]) ).
fof(f1911,plain,
( spl62_288
<=> n15 = sum(n8,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_288])]) ).
fof(f171,plain,
n15 = sum(n8,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f1909,plain,
spl62_287,
inference(avatar_split_clause,[],[f170,f1906]) ).
fof(f1906,plain,
( spl62_287
<=> n14 = sum(n8,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_287])]) ).
fof(f170,plain,
n14 = sum(n8,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f1904,plain,
spl62_286,
inference(avatar_split_clause,[],[f169,f1901]) ).
fof(f1901,plain,
( spl62_286
<=> n13 = sum(n8,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_286])]) ).
fof(f169,plain,
n13 = sum(n8,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f1899,plain,
spl62_285,
inference(avatar_split_clause,[],[f168,f1896]) ).
fof(f1896,plain,
( spl62_285
<=> n12 = sum(n8,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_285])]) ).
fof(f168,plain,
n12 = sum(n8,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f1894,plain,
spl62_284,
inference(avatar_split_clause,[],[f167,f1891]) ).
fof(f1891,plain,
( spl62_284
<=> n11 = sum(n8,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_284])]) ).
fof(f167,plain,
n11 = sum(n8,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f1889,plain,
spl62_283,
inference(avatar_split_clause,[],[f166,f1886]) ).
fof(f1886,plain,
( spl62_283
<=> n10 = sum(n8,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_283])]) ).
fof(f166,plain,
n10 = sum(n8,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f1884,plain,
spl62_282,
inference(avatar_split_clause,[],[f165,f1881]) ).
fof(f1881,plain,
( spl62_282
<=> n9 = sum(n8,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_282])]) ).
fof(f165,plain,
n9 = sum(n8,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f1879,plain,
spl62_281,
inference(avatar_split_clause,[],[f164,f1876]) ).
fof(f1876,plain,
( spl62_281
<=> n8 = sum(n8,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_281])]) ).
fof(f164,plain,
n8 = sum(n8,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f1874,plain,
spl62_280,
inference(avatar_split_clause,[],[f163,f1871]) ).
fof(f1871,plain,
( spl62_280
<=> n6 = sum(n7,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_280])]) ).
fof(f163,plain,
n6 = sum(n7,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f1869,plain,
spl62_279,
inference(avatar_split_clause,[],[f162,f1866]) ).
fof(f1866,plain,
( spl62_279
<=> n5 = sum(n7,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_279])]) ).
fof(f162,plain,
n5 = sum(n7,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f1864,plain,
spl62_278,
inference(avatar_split_clause,[],[f161,f1861]) ).
fof(f1861,plain,
( spl62_278
<=> n4 = sum(n7,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_278])]) ).
fof(f161,plain,
n4 = sum(n7,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f1859,plain,
spl62_277,
inference(avatar_split_clause,[],[f160,f1856]) ).
fof(f1856,plain,
( spl62_277
<=> n3 = sum(n7,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_277])]) ).
fof(f160,plain,
n3 = sum(n7,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f1854,plain,
spl62_276,
inference(avatar_split_clause,[],[f159,f1851]) ).
fof(f1851,plain,
( spl62_276
<=> n2 = sum(n7,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_276])]) ).
fof(f159,plain,
n2 = sum(n7,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f1849,plain,
spl62_275,
inference(avatar_split_clause,[],[f158,f1846]) ).
fof(f1846,plain,
( spl62_275
<=> n1 = sum(n7,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_275])]) ).
fof(f158,plain,
n1 = sum(n7,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f1844,plain,
spl62_274,
inference(avatar_split_clause,[],[f157,f1841]) ).
fof(f1841,plain,
( spl62_274
<=> n0 = sum(n7,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_274])]) ).
fof(f157,plain,
n0 = sum(n7,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f1839,plain,
spl62_273,
inference(avatar_split_clause,[],[f156,f1836]) ).
fof(f1836,plain,
( spl62_273
<=> n15 = sum(n7,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_273])]) ).
fof(f156,plain,
n15 = sum(n7,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f1834,plain,
spl62_272,
inference(avatar_split_clause,[],[f155,f1831]) ).
fof(f1831,plain,
( spl62_272
<=> n14 = sum(n7,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_272])]) ).
fof(f155,plain,
n14 = sum(n7,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f1829,plain,
spl62_271,
inference(avatar_split_clause,[],[f154,f1826]) ).
fof(f1826,plain,
( spl62_271
<=> n13 = sum(n7,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_271])]) ).
fof(f154,plain,
n13 = sum(n7,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f1824,plain,
spl62_270,
inference(avatar_split_clause,[],[f153,f1821]) ).
fof(f1821,plain,
( spl62_270
<=> n12 = sum(n7,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_270])]) ).
fof(f153,plain,
n12 = sum(n7,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f1819,plain,
spl62_269,
inference(avatar_split_clause,[],[f152,f1816]) ).
fof(f1816,plain,
( spl62_269
<=> n11 = sum(n7,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_269])]) ).
fof(f152,plain,
n11 = sum(n7,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f1814,plain,
spl62_268,
inference(avatar_split_clause,[],[f151,f1811]) ).
fof(f1811,plain,
( spl62_268
<=> n10 = sum(n7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_268])]) ).
fof(f151,plain,
n10 = sum(n7,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f1809,plain,
spl62_267,
inference(avatar_split_clause,[],[f150,f1806]) ).
fof(f1806,plain,
( spl62_267
<=> n9 = sum(n7,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_267])]) ).
fof(f150,plain,
n9 = sum(n7,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f1804,plain,
spl62_266,
inference(avatar_split_clause,[],[f149,f1801]) ).
fof(f1801,plain,
( spl62_266
<=> n8 = sum(n7,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_266])]) ).
fof(f149,plain,
n8 = sum(n7,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f1799,plain,
spl62_265,
inference(avatar_split_clause,[],[f148,f1796]) ).
fof(f1796,plain,
( spl62_265
<=> n7 = sum(n7,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_265])]) ).
fof(f148,plain,
n7 = sum(n7,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f1794,plain,
spl62_264,
inference(avatar_split_clause,[],[f147,f1791]) ).
fof(f1791,plain,
( spl62_264
<=> n5 = sum(n6,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_264])]) ).
fof(f147,plain,
n5 = sum(n6,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f1789,plain,
spl62_263,
inference(avatar_split_clause,[],[f146,f1786]) ).
fof(f1786,plain,
( spl62_263
<=> n4 = sum(n6,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_263])]) ).
fof(f146,plain,
n4 = sum(n6,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f1784,plain,
spl62_262,
inference(avatar_split_clause,[],[f145,f1781]) ).
fof(f1781,plain,
( spl62_262
<=> n3 = sum(n6,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_262])]) ).
fof(f145,plain,
n3 = sum(n6,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f1779,plain,
spl62_261,
inference(avatar_split_clause,[],[f144,f1776]) ).
fof(f1776,plain,
( spl62_261
<=> n2 = sum(n6,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_261])]) ).
fof(f144,plain,
n2 = sum(n6,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f1774,plain,
spl62_260,
inference(avatar_split_clause,[],[f143,f1771]) ).
fof(f1771,plain,
( spl62_260
<=> n1 = sum(n6,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_260])]) ).
fof(f143,plain,
n1 = sum(n6,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f1769,plain,
spl62_259,
inference(avatar_split_clause,[],[f142,f1766]) ).
fof(f1766,plain,
( spl62_259
<=> n0 = sum(n6,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_259])]) ).
fof(f142,plain,
n0 = sum(n6,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f1764,plain,
spl62_258,
inference(avatar_split_clause,[],[f141,f1761]) ).
fof(f1761,plain,
( spl62_258
<=> n15 = sum(n6,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_258])]) ).
fof(f141,plain,
n15 = sum(n6,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f1759,plain,
spl62_257,
inference(avatar_split_clause,[],[f140,f1756]) ).
fof(f1756,plain,
( spl62_257
<=> n14 = sum(n6,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_257])]) ).
fof(f140,plain,
n14 = sum(n6,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f1754,plain,
spl62_256,
inference(avatar_split_clause,[],[f139,f1751]) ).
fof(f1751,plain,
( spl62_256
<=> n13 = sum(n6,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_256])]) ).
fof(f139,plain,
n13 = sum(n6,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f1749,plain,
spl62_255,
inference(avatar_split_clause,[],[f138,f1746]) ).
fof(f1746,plain,
( spl62_255
<=> n12 = sum(n6,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_255])]) ).
fof(f138,plain,
n12 = sum(n6,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f1744,plain,
spl62_254,
inference(avatar_split_clause,[],[f137,f1741]) ).
fof(f1741,plain,
( spl62_254
<=> n11 = sum(n6,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_254])]) ).
fof(f137,plain,
n11 = sum(n6,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f1739,plain,
spl62_253,
inference(avatar_split_clause,[],[f136,f1736]) ).
fof(f1736,plain,
( spl62_253
<=> n10 = sum(n6,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_253])]) ).
fof(f136,plain,
n10 = sum(n6,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f1734,plain,
spl62_252,
inference(avatar_split_clause,[],[f135,f1731]) ).
fof(f1731,plain,
( spl62_252
<=> n9 = sum(n6,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_252])]) ).
fof(f135,plain,
n9 = sum(n6,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f1729,plain,
spl62_251,
inference(avatar_split_clause,[],[f134,f1726]) ).
fof(f1726,plain,
( spl62_251
<=> n8 = sum(n6,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_251])]) ).
fof(f134,plain,
n8 = sum(n6,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f1724,plain,
spl62_250,
inference(avatar_split_clause,[],[f133,f1721]) ).
fof(f1721,plain,
( spl62_250
<=> n7 = sum(n6,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_250])]) ).
fof(f133,plain,
n7 = sum(n6,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f1719,plain,
spl62_249,
inference(avatar_split_clause,[],[f132,f1716]) ).
fof(f1716,plain,
( spl62_249
<=> n6 = sum(n6,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_249])]) ).
fof(f132,plain,
n6 = sum(n6,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f1714,plain,
spl62_248,
inference(avatar_split_clause,[],[f131,f1711]) ).
fof(f1711,plain,
( spl62_248
<=> n4 = sum(n5,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_248])]) ).
fof(f131,plain,
n4 = sum(n5,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f1709,plain,
spl62_247,
inference(avatar_split_clause,[],[f130,f1706]) ).
fof(f1706,plain,
( spl62_247
<=> n3 = sum(n5,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_247])]) ).
fof(f130,plain,
n3 = sum(n5,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f1704,plain,
spl62_246,
inference(avatar_split_clause,[],[f129,f1701]) ).
fof(f1701,plain,
( spl62_246
<=> n2 = sum(n5,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_246])]) ).
fof(f129,plain,
n2 = sum(n5,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f1699,plain,
spl62_245,
inference(avatar_split_clause,[],[f128,f1696]) ).
fof(f1696,plain,
( spl62_245
<=> n1 = sum(n5,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_245])]) ).
fof(f128,plain,
n1 = sum(n5,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f1694,plain,
spl62_244,
inference(avatar_split_clause,[],[f127,f1691]) ).
fof(f1691,plain,
( spl62_244
<=> n0 = sum(n5,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_244])]) ).
fof(f127,plain,
n0 = sum(n5,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f1689,plain,
spl62_243,
inference(avatar_split_clause,[],[f126,f1686]) ).
fof(f1686,plain,
( spl62_243
<=> n15 = sum(n5,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_243])]) ).
fof(f126,plain,
n15 = sum(n5,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f1684,plain,
spl62_242,
inference(avatar_split_clause,[],[f125,f1681]) ).
fof(f1681,plain,
( spl62_242
<=> n14 = sum(n5,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_242])]) ).
fof(f125,plain,
n14 = sum(n5,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f1679,plain,
spl62_241,
inference(avatar_split_clause,[],[f124,f1676]) ).
fof(f1676,plain,
( spl62_241
<=> n13 = sum(n5,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_241])]) ).
fof(f124,plain,
n13 = sum(n5,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f1674,plain,
spl62_240,
inference(avatar_split_clause,[],[f123,f1671]) ).
fof(f1671,plain,
( spl62_240
<=> n12 = sum(n5,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_240])]) ).
fof(f123,plain,
n12 = sum(n5,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f1669,plain,
spl62_239,
inference(avatar_split_clause,[],[f122,f1666]) ).
fof(f1666,plain,
( spl62_239
<=> n11 = sum(n5,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_239])]) ).
fof(f122,plain,
n11 = sum(n5,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f1664,plain,
spl62_238,
inference(avatar_split_clause,[],[f121,f1661]) ).
fof(f1661,plain,
( spl62_238
<=> n10 = sum(n5,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_238])]) ).
fof(f121,plain,
n10 = sum(n5,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f1659,plain,
spl62_237,
inference(avatar_split_clause,[],[f120,f1656]) ).
fof(f1656,plain,
( spl62_237
<=> n9 = sum(n5,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_237])]) ).
fof(f120,plain,
n9 = sum(n5,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f1654,plain,
spl62_236,
inference(avatar_split_clause,[],[f119,f1651]) ).
fof(f1651,plain,
( spl62_236
<=> n8 = sum(n5,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_236])]) ).
fof(f119,plain,
n8 = sum(n5,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f1649,plain,
spl62_235,
inference(avatar_split_clause,[],[f118,f1646]) ).
fof(f1646,plain,
( spl62_235
<=> n7 = sum(n5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_235])]) ).
fof(f118,plain,
n7 = sum(n5,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f1644,plain,
spl62_234,
inference(avatar_split_clause,[],[f117,f1641]) ).
fof(f1641,plain,
( spl62_234
<=> n6 = sum(n5,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_234])]) ).
fof(f117,plain,
n6 = sum(n5,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f1639,plain,
spl62_233,
inference(avatar_split_clause,[],[f116,f1636]) ).
fof(f1636,plain,
( spl62_233
<=> n5 = sum(n5,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_233])]) ).
fof(f116,plain,
n5 = sum(n5,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f1634,plain,
spl62_232,
inference(avatar_split_clause,[],[f115,f1631]) ).
fof(f1631,plain,
( spl62_232
<=> n3 = sum(n4,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_232])]) ).
fof(f115,plain,
n3 = sum(n4,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f1629,plain,
spl62_231,
inference(avatar_split_clause,[],[f114,f1626]) ).
fof(f1626,plain,
( spl62_231
<=> n2 = sum(n4,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_231])]) ).
fof(f114,plain,
n2 = sum(n4,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f1624,plain,
spl62_230,
inference(avatar_split_clause,[],[f113,f1621]) ).
fof(f1621,plain,
( spl62_230
<=> n1 = sum(n4,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_230])]) ).
fof(f113,plain,
n1 = sum(n4,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f1619,plain,
spl62_229,
inference(avatar_split_clause,[],[f112,f1616]) ).
fof(f1616,plain,
( spl62_229
<=> n0 = sum(n4,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_229])]) ).
fof(f112,plain,
n0 = sum(n4,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f1614,plain,
spl62_228,
inference(avatar_split_clause,[],[f111,f1611]) ).
fof(f1611,plain,
( spl62_228
<=> n15 = sum(n4,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_228])]) ).
fof(f111,plain,
n15 = sum(n4,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f1609,plain,
spl62_227,
inference(avatar_split_clause,[],[f110,f1606]) ).
fof(f1606,plain,
( spl62_227
<=> n14 = sum(n4,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_227])]) ).
fof(f110,plain,
n14 = sum(n4,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f1604,plain,
spl62_226,
inference(avatar_split_clause,[],[f109,f1601]) ).
fof(f1601,plain,
( spl62_226
<=> n13 = sum(n4,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_226])]) ).
fof(f109,plain,
n13 = sum(n4,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f1599,plain,
spl62_225,
inference(avatar_split_clause,[],[f108,f1596]) ).
fof(f1596,plain,
( spl62_225
<=> n12 = sum(n4,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_225])]) ).
fof(f108,plain,
n12 = sum(n4,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f1594,plain,
spl62_224,
inference(avatar_split_clause,[],[f107,f1591]) ).
fof(f1591,plain,
( spl62_224
<=> n11 = sum(n4,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_224])]) ).
fof(f107,plain,
n11 = sum(n4,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f1589,plain,
spl62_223,
inference(avatar_split_clause,[],[f106,f1586]) ).
fof(f1586,plain,
( spl62_223
<=> n10 = sum(n4,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_223])]) ).
fof(f106,plain,
n10 = sum(n4,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f1584,plain,
spl62_222,
inference(avatar_split_clause,[],[f105,f1581]) ).
fof(f1581,plain,
( spl62_222
<=> n9 = sum(n4,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_222])]) ).
fof(f105,plain,
n9 = sum(n4,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f1579,plain,
spl62_221,
inference(avatar_split_clause,[],[f104,f1576]) ).
fof(f1576,plain,
( spl62_221
<=> n8 = sum(n4,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_221])]) ).
fof(f104,plain,
n8 = sum(n4,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f1574,plain,
spl62_220,
inference(avatar_split_clause,[],[f103,f1571]) ).
fof(f1571,plain,
( spl62_220
<=> n7 = sum(n4,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_220])]) ).
fof(f103,plain,
n7 = sum(n4,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f1569,plain,
spl62_219,
inference(avatar_split_clause,[],[f102,f1566]) ).
fof(f1566,plain,
( spl62_219
<=> n6 = sum(n4,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_219])]) ).
fof(f102,plain,
n6 = sum(n4,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f1564,plain,
spl62_218,
inference(avatar_split_clause,[],[f101,f1561]) ).
fof(f1561,plain,
( spl62_218
<=> n5 = sum(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_218])]) ).
fof(f101,plain,
n5 = sum(n4,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f1559,plain,
spl62_217,
inference(avatar_split_clause,[],[f100,f1556]) ).
fof(f1556,plain,
( spl62_217
<=> n4 = sum(n4,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_217])]) ).
fof(f100,plain,
n4 = sum(n4,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f1554,plain,
spl62_216,
inference(avatar_split_clause,[],[f99,f1551]) ).
fof(f1551,plain,
( spl62_216
<=> n2 = sum(n3,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_216])]) ).
fof(f99,plain,
n2 = sum(n3,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f1549,plain,
spl62_215,
inference(avatar_split_clause,[],[f98,f1546]) ).
fof(f1546,plain,
( spl62_215
<=> n1 = sum(n3,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_215])]) ).
fof(f98,plain,
n1 = sum(n3,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f1544,plain,
spl62_214,
inference(avatar_split_clause,[],[f97,f1541]) ).
fof(f1541,plain,
( spl62_214
<=> n0 = sum(n3,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_214])]) ).
fof(f97,plain,
n0 = sum(n3,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f1539,plain,
spl62_213,
inference(avatar_split_clause,[],[f96,f1536]) ).
fof(f1536,plain,
( spl62_213
<=> n15 = sum(n3,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_213])]) ).
fof(f96,plain,
n15 = sum(n3,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f1534,plain,
spl62_212,
inference(avatar_split_clause,[],[f95,f1531]) ).
fof(f1531,plain,
( spl62_212
<=> n14 = sum(n3,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_212])]) ).
fof(f95,plain,
n14 = sum(n3,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f1529,plain,
spl62_211,
inference(avatar_split_clause,[],[f94,f1526]) ).
fof(f1526,plain,
( spl62_211
<=> n13 = sum(n3,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_211])]) ).
fof(f94,plain,
n13 = sum(n3,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f1524,plain,
spl62_210,
inference(avatar_split_clause,[],[f93,f1521]) ).
fof(f1521,plain,
( spl62_210
<=> n12 = sum(n3,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_210])]) ).
fof(f93,plain,
n12 = sum(n3,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f1519,plain,
spl62_209,
inference(avatar_split_clause,[],[f92,f1516]) ).
fof(f1516,plain,
( spl62_209
<=> n11 = sum(n3,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_209])]) ).
fof(f92,plain,
n11 = sum(n3,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f1514,plain,
spl62_208,
inference(avatar_split_clause,[],[f91,f1511]) ).
fof(f1511,plain,
( spl62_208
<=> n10 = sum(n3,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_208])]) ).
fof(f91,plain,
n10 = sum(n3,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f1509,plain,
spl62_207,
inference(avatar_split_clause,[],[f90,f1506]) ).
fof(f1506,plain,
( spl62_207
<=> n9 = sum(n3,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_207])]) ).
fof(f90,plain,
n9 = sum(n3,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f1504,plain,
spl62_206,
inference(avatar_split_clause,[],[f89,f1501]) ).
fof(f1501,plain,
( spl62_206
<=> n8 = sum(n3,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_206])]) ).
fof(f89,plain,
n8 = sum(n3,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f1499,plain,
spl62_205,
inference(avatar_split_clause,[],[f88,f1496]) ).
fof(f1496,plain,
( spl62_205
<=> n7 = sum(n3,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_205])]) ).
fof(f88,plain,
n7 = sum(n3,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f1494,plain,
spl62_204,
inference(avatar_split_clause,[],[f87,f1491]) ).
fof(f1491,plain,
( spl62_204
<=> n6 = sum(n3,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_204])]) ).
fof(f87,plain,
n6 = sum(n3,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f1489,plain,
spl62_203,
inference(avatar_split_clause,[],[f86,f1486]) ).
fof(f1486,plain,
( spl62_203
<=> n5 = sum(n3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_203])]) ).
fof(f86,plain,
n5 = sum(n3,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f1484,plain,
spl62_202,
inference(avatar_split_clause,[],[f85,f1481]) ).
fof(f1481,plain,
( spl62_202
<=> n4 = sum(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_202])]) ).
fof(f85,plain,
n4 = sum(n3,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f1479,plain,
spl62_201,
inference(avatar_split_clause,[],[f84,f1476]) ).
fof(f1476,plain,
( spl62_201
<=> n3 = sum(n3,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_201])]) ).
fof(f84,plain,
n3 = sum(n3,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f1474,plain,
spl62_200,
inference(avatar_split_clause,[],[f83,f1471]) ).
fof(f1471,plain,
( spl62_200
<=> n1 = sum(n2,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_200])]) ).
fof(f83,plain,
n1 = sum(n2,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f1469,plain,
spl62_199,
inference(avatar_split_clause,[],[f82,f1466]) ).
fof(f1466,plain,
( spl62_199
<=> n0 = sum(n2,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_199])]) ).
fof(f82,plain,
n0 = sum(n2,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f1464,plain,
spl62_198,
inference(avatar_split_clause,[],[f81,f1461]) ).
fof(f1461,plain,
( spl62_198
<=> n15 = sum(n2,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_198])]) ).
fof(f81,plain,
n15 = sum(n2,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f1459,plain,
spl62_197,
inference(avatar_split_clause,[],[f80,f1456]) ).
fof(f1456,plain,
( spl62_197
<=> n14 = sum(n2,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_197])]) ).
fof(f80,plain,
n14 = sum(n2,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f1454,plain,
spl62_196,
inference(avatar_split_clause,[],[f79,f1451]) ).
fof(f1451,plain,
( spl62_196
<=> n13 = sum(n2,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_196])]) ).
fof(f79,plain,
n13 = sum(n2,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f1449,plain,
spl62_195,
inference(avatar_split_clause,[],[f78,f1446]) ).
fof(f1446,plain,
( spl62_195
<=> n12 = sum(n2,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_195])]) ).
fof(f78,plain,
n12 = sum(n2,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f1444,plain,
spl62_194,
inference(avatar_split_clause,[],[f77,f1441]) ).
fof(f1441,plain,
( spl62_194
<=> n11 = sum(n2,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_194])]) ).
fof(f77,plain,
n11 = sum(n2,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f1439,plain,
spl62_193,
inference(avatar_split_clause,[],[f76,f1436]) ).
fof(f1436,plain,
( spl62_193
<=> n10 = sum(n2,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_193])]) ).
fof(f76,plain,
n10 = sum(n2,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f1434,plain,
spl62_192,
inference(avatar_split_clause,[],[f75,f1431]) ).
fof(f1431,plain,
( spl62_192
<=> n9 = sum(n2,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_192])]) ).
fof(f75,plain,
n9 = sum(n2,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f1429,plain,
spl62_191,
inference(avatar_split_clause,[],[f74,f1426]) ).
fof(f1426,plain,
( spl62_191
<=> n8 = sum(n2,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_191])]) ).
fof(f74,plain,
n8 = sum(n2,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f1424,plain,
spl62_190,
inference(avatar_split_clause,[],[f73,f1421]) ).
fof(f1421,plain,
( spl62_190
<=> n7 = sum(n2,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_190])]) ).
fof(f73,plain,
n7 = sum(n2,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f1419,plain,
spl62_189,
inference(avatar_split_clause,[],[f72,f1416]) ).
fof(f1416,plain,
( spl62_189
<=> n6 = sum(n2,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_189])]) ).
fof(f72,plain,
n6 = sum(n2,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f1414,plain,
spl62_188,
inference(avatar_split_clause,[],[f71,f1411]) ).
fof(f1411,plain,
( spl62_188
<=> n5 = sum(n2,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_188])]) ).
fof(f71,plain,
n5 = sum(n2,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f1409,plain,
spl62_187,
inference(avatar_split_clause,[],[f70,f1406]) ).
fof(f1406,plain,
( spl62_187
<=> n4 = sum(n2,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_187])]) ).
fof(f70,plain,
n4 = sum(n2,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f1404,plain,
spl62_186,
inference(avatar_split_clause,[],[f69,f1401]) ).
fof(f1401,plain,
( spl62_186
<=> n3 = sum(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_186])]) ).
fof(f69,plain,
n3 = sum(n2,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f1399,plain,
spl62_185,
inference(avatar_split_clause,[],[f68,f1396]) ).
fof(f1396,plain,
( spl62_185
<=> n2 = sum(n2,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_185])]) ).
fof(f68,plain,
n2 = sum(n2,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f1394,plain,
spl62_184,
inference(avatar_split_clause,[],[f67,f1391]) ).
fof(f1391,plain,
( spl62_184
<=> n0 = sum(n1,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_184])]) ).
fof(f67,plain,
n0 = sum(n1,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f1389,plain,
spl62_183,
inference(avatar_split_clause,[],[f66,f1386]) ).
fof(f1386,plain,
( spl62_183
<=> n15 = sum(n1,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_183])]) ).
fof(f66,plain,
n15 = sum(n1,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f1384,plain,
spl62_182,
inference(avatar_split_clause,[],[f65,f1381]) ).
fof(f1381,plain,
( spl62_182
<=> n14 = sum(n1,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_182])]) ).
fof(f65,plain,
n14 = sum(n1,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f1379,plain,
spl62_181,
inference(avatar_split_clause,[],[f64,f1376]) ).
fof(f1376,plain,
( spl62_181
<=> n13 = sum(n1,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_181])]) ).
fof(f64,plain,
n13 = sum(n1,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f1374,plain,
spl62_180,
inference(avatar_split_clause,[],[f63,f1371]) ).
fof(f1371,plain,
( spl62_180
<=> n12 = sum(n1,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_180])]) ).
fof(f63,plain,
n12 = sum(n1,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f1369,plain,
spl62_179,
inference(avatar_split_clause,[],[f62,f1366]) ).
fof(f1366,plain,
( spl62_179
<=> n11 = sum(n1,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_179])]) ).
fof(f62,plain,
n11 = sum(n1,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f1364,plain,
spl62_178,
inference(avatar_split_clause,[],[f61,f1361]) ).
fof(f1361,plain,
( spl62_178
<=> n10 = sum(n1,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_178])]) ).
fof(f61,plain,
n10 = sum(n1,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f1359,plain,
spl62_177,
inference(avatar_split_clause,[],[f60,f1356]) ).
fof(f1356,plain,
( spl62_177
<=> n9 = sum(n1,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_177])]) ).
fof(f60,plain,
n9 = sum(n1,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f1354,plain,
spl62_176,
inference(avatar_split_clause,[],[f59,f1351]) ).
fof(f1351,plain,
( spl62_176
<=> n8 = sum(n1,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_176])]) ).
fof(f59,plain,
n8 = sum(n1,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f1349,plain,
spl62_175,
inference(avatar_split_clause,[],[f58,f1346]) ).
fof(f1346,plain,
( spl62_175
<=> n7 = sum(n1,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_175])]) ).
fof(f58,plain,
n7 = sum(n1,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f1344,plain,
spl62_174,
inference(avatar_split_clause,[],[f57,f1341]) ).
fof(f1341,plain,
( spl62_174
<=> n6 = sum(n1,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_174])]) ).
fof(f57,plain,
n6 = sum(n1,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f1339,plain,
spl62_173,
inference(avatar_split_clause,[],[f56,f1336]) ).
fof(f1336,plain,
( spl62_173
<=> n5 = sum(n1,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_173])]) ).
fof(f56,plain,
n5 = sum(n1,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f1334,plain,
spl62_172,
inference(avatar_split_clause,[],[f55,f1331]) ).
fof(f1331,plain,
( spl62_172
<=> n4 = sum(n1,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_172])]) ).
fof(f55,plain,
n4 = sum(n1,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f1329,plain,
spl62_171,
inference(avatar_split_clause,[],[f54,f1326]) ).
fof(f1326,plain,
( spl62_171
<=> n3 = sum(n1,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_171])]) ).
fof(f54,plain,
n3 = sum(n1,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f1324,plain,
spl62_170,
inference(avatar_split_clause,[],[f53,f1321]) ).
fof(f1321,plain,
( spl62_170
<=> n2 = sum(n1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_170])]) ).
fof(f53,plain,
n2 = sum(n1,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f1319,plain,
spl62_169,
inference(avatar_split_clause,[],[f52,f1316]) ).
fof(f1316,plain,
( spl62_169
<=> n1 = sum(n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_169])]) ).
fof(f52,plain,
n1 = sum(n1,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f1314,plain,
spl62_168,
inference(avatar_split_clause,[],[f51,f1311]) ).
fof(f1311,plain,
( spl62_168
<=> n15 = sum(n0,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_168])]) ).
fof(f51,plain,
n15 = sum(n0,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f1309,plain,
spl62_167,
inference(avatar_split_clause,[],[f50,f1306]) ).
fof(f1306,plain,
( spl62_167
<=> n14 = sum(n0,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_167])]) ).
fof(f50,plain,
n14 = sum(n0,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f1304,plain,
spl62_166,
inference(avatar_split_clause,[],[f49,f1301]) ).
fof(f1301,plain,
( spl62_166
<=> n13 = sum(n0,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_166])]) ).
fof(f49,plain,
n13 = sum(n0,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f1299,plain,
spl62_165,
inference(avatar_split_clause,[],[f48,f1296]) ).
fof(f1296,plain,
( spl62_165
<=> n12 = sum(n0,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_165])]) ).
fof(f48,plain,
n12 = sum(n0,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f1294,plain,
spl62_164,
inference(avatar_split_clause,[],[f47,f1291]) ).
fof(f1291,plain,
( spl62_164
<=> n11 = sum(n0,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_164])]) ).
fof(f47,plain,
n11 = sum(n0,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f1289,plain,
spl62_163,
inference(avatar_split_clause,[],[f46,f1286]) ).
fof(f1286,plain,
( spl62_163
<=> n10 = sum(n0,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_163])]) ).
fof(f46,plain,
n10 = sum(n0,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f1284,plain,
spl62_162,
inference(avatar_split_clause,[],[f45,f1281]) ).
fof(f1281,plain,
( spl62_162
<=> n9 = sum(n0,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_162])]) ).
fof(f45,plain,
n9 = sum(n0,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f1279,plain,
spl62_161,
inference(avatar_split_clause,[],[f44,f1276]) ).
fof(f1276,plain,
( spl62_161
<=> n8 = sum(n0,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_161])]) ).
fof(f44,plain,
n8 = sum(n0,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f1274,plain,
spl62_160,
inference(avatar_split_clause,[],[f43,f1271]) ).
fof(f1271,plain,
( spl62_160
<=> n7 = sum(n0,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_160])]) ).
fof(f43,plain,
n7 = sum(n0,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f1269,plain,
spl62_159,
inference(avatar_split_clause,[],[f42,f1266]) ).
fof(f1266,plain,
( spl62_159
<=> n6 = sum(n0,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_159])]) ).
fof(f42,plain,
n6 = sum(n0,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f1264,plain,
spl62_158,
inference(avatar_split_clause,[],[f41,f1261]) ).
fof(f1261,plain,
( spl62_158
<=> n5 = sum(n0,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_158])]) ).
fof(f41,plain,
n5 = sum(n0,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f1259,plain,
spl62_157,
inference(avatar_split_clause,[],[f40,f1256]) ).
fof(f1256,plain,
( spl62_157
<=> n4 = sum(n0,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_157])]) ).
fof(f40,plain,
n4 = sum(n0,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f1254,plain,
spl62_156,
inference(avatar_split_clause,[],[f39,f1251]) ).
fof(f1251,plain,
( spl62_156
<=> n3 = sum(n0,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_156])]) ).
fof(f39,plain,
n3 = sum(n0,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f1249,plain,
spl62_155,
inference(avatar_split_clause,[],[f38,f1246]) ).
fof(f1246,plain,
( spl62_155
<=> n2 = sum(n0,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_155])]) ).
fof(f38,plain,
n2 = sum(n0,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f1244,plain,
spl62_154,
inference(avatar_split_clause,[],[f37,f1241]) ).
fof(f1241,plain,
( spl62_154
<=> n1 = sum(n0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_154])]) ).
fof(f37,plain,
n1 = sum(n0,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f1239,plain,
spl62_153,
inference(avatar_split_clause,[],[f36,f1236]) ).
fof(f1236,plain,
( spl62_153
<=> n0 = sum(n0,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_153])]) ).
fof(f36,plain,
n0 = sum(n0,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f1234,plain,
spl62_152,
inference(avatar_split_clause,[],[f35,f1231]) ).
fof(f35,plain,
n14 = pred(n15),
inference(cnf_transformation,[],[f3]) ).
fof(f1229,plain,
spl62_151,
inference(avatar_split_clause,[],[f34,f1226]) ).
fof(f34,plain,
n13 = pred(n14),
inference(cnf_transformation,[],[f3]) ).
fof(f1224,plain,
spl62_150,
inference(avatar_split_clause,[],[f33,f1221]) ).
fof(f33,plain,
n12 = pred(n13),
inference(cnf_transformation,[],[f3]) ).
fof(f1219,plain,
spl62_149,
inference(avatar_split_clause,[],[f32,f1216]) ).
fof(f32,plain,
n11 = pred(n12),
inference(cnf_transformation,[],[f3]) ).
fof(f1214,plain,
spl62_148,
inference(avatar_split_clause,[],[f31,f1211]) ).
fof(f31,plain,
n10 = pred(n11),
inference(cnf_transformation,[],[f3]) ).
fof(f1209,plain,
spl62_147,
inference(avatar_split_clause,[],[f30,f1206]) ).
fof(f30,plain,
n9 = pred(n10),
inference(cnf_transformation,[],[f3]) ).
fof(f1204,plain,
spl62_146,
inference(avatar_split_clause,[],[f29,f1201]) ).
fof(f29,plain,
n8 = pred(n9),
inference(cnf_transformation,[],[f3]) ).
fof(f1199,plain,
spl62_145,
inference(avatar_split_clause,[],[f28,f1196]) ).
fof(f28,plain,
n7 = pred(n8),
inference(cnf_transformation,[],[f3]) ).
fof(f1194,plain,
spl62_144,
inference(avatar_split_clause,[],[f27,f1191]) ).
fof(f27,plain,
n6 = pred(n7),
inference(cnf_transformation,[],[f3]) ).
fof(f1189,plain,
spl62_143,
inference(avatar_split_clause,[],[f26,f1186]) ).
fof(f26,plain,
n5 = pred(n6),
inference(cnf_transformation,[],[f3]) ).
fof(f1184,plain,
spl62_142,
inference(avatar_split_clause,[],[f25,f1181]) ).
fof(f25,plain,
n4 = pred(n5),
inference(cnf_transformation,[],[f3]) ).
fof(f1179,plain,
spl62_141,
inference(avatar_split_clause,[],[f24,f1176]) ).
fof(f24,plain,
n3 = pred(n4),
inference(cnf_transformation,[],[f3]) ).
fof(f1174,plain,
spl62_140,
inference(avatar_split_clause,[],[f23,f1171]) ).
fof(f23,plain,
n2 = pred(n3),
inference(cnf_transformation,[],[f3]) ).
fof(f1169,plain,
spl62_139,
inference(avatar_split_clause,[],[f22,f1166]) ).
fof(f22,plain,
n1 = pred(n2),
inference(cnf_transformation,[],[f3]) ).
fof(f1164,plain,
spl62_138,
inference(avatar_split_clause,[],[f21,f1161]) ).
fof(f21,plain,
n0 = pred(n1),
inference(cnf_transformation,[],[f3]) ).
fof(f1159,plain,
spl62_137,
inference(avatar_split_clause,[],[f20,f1156]) ).
fof(f20,plain,
n15 = pred(n0),
inference(cnf_transformation,[],[f3]) ).
fof(f1154,plain,
spl62_136,
inference(avatar_split_clause,[],[f19,f1151]) ).
fof(f1151,plain,
( spl62_136
<=> n0 = succ(n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_136])]) ).
fof(f19,plain,
n0 = succ(n15),
inference(cnf_transformation,[],[f3]) ).
fof(f1149,plain,
spl62_135,
inference(avatar_split_clause,[],[f18,f1146]) ).
fof(f1146,plain,
( spl62_135
<=> succ(n14) = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_135])]) ).
fof(f18,plain,
succ(n14) = n15,
inference(cnf_transformation,[],[f3]) ).
fof(f1144,plain,
spl62_134,
inference(avatar_split_clause,[],[f17,f1141]) ).
fof(f1141,plain,
( spl62_134
<=> succ(n13) = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_134])]) ).
fof(f17,plain,
succ(n13) = n14,
inference(cnf_transformation,[],[f3]) ).
fof(f1139,plain,
spl62_133,
inference(avatar_split_clause,[],[f16,f1136]) ).
fof(f1136,plain,
( spl62_133
<=> succ(n12) = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_133])]) ).
fof(f16,plain,
succ(n12) = n13,
inference(cnf_transformation,[],[f3]) ).
fof(f1134,plain,
spl62_132,
inference(avatar_split_clause,[],[f15,f1131]) ).
fof(f1131,plain,
( spl62_132
<=> succ(n11) = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_132])]) ).
fof(f15,plain,
succ(n11) = n12,
inference(cnf_transformation,[],[f3]) ).
fof(f1129,plain,
spl62_131,
inference(avatar_split_clause,[],[f14,f1126]) ).
fof(f1126,plain,
( spl62_131
<=> succ(n10) = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_131])]) ).
fof(f14,plain,
succ(n10) = n11,
inference(cnf_transformation,[],[f3]) ).
fof(f1124,plain,
spl62_130,
inference(avatar_split_clause,[],[f13,f1121]) ).
fof(f1121,plain,
( spl62_130
<=> succ(n9) = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_130])]) ).
fof(f13,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f3]) ).
fof(f1119,plain,
spl62_129,
inference(avatar_split_clause,[],[f12,f1116]) ).
fof(f1116,plain,
( spl62_129
<=> succ(n8) = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_129])]) ).
fof(f12,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f3]) ).
fof(f1114,plain,
spl62_128,
inference(avatar_split_clause,[],[f11,f1111]) ).
fof(f1111,plain,
( spl62_128
<=> succ(n7) = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_128])]) ).
fof(f11,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f3]) ).
fof(f1109,plain,
spl62_127,
inference(avatar_split_clause,[],[f10,f1106]) ).
fof(f1106,plain,
( spl62_127
<=> succ(n6) = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_127])]) ).
fof(f10,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f3]) ).
fof(f1104,plain,
spl62_126,
inference(avatar_split_clause,[],[f9,f1101]) ).
fof(f1101,plain,
( spl62_126
<=> succ(n5) = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_126])]) ).
fof(f9,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f3]) ).
fof(f1099,plain,
spl62_125,
inference(avatar_split_clause,[],[f8,f1096]) ).
fof(f1096,plain,
( spl62_125
<=> succ(n4) = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_125])]) ).
fof(f8,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f3]) ).
fof(f1094,plain,
spl62_124,
inference(avatar_split_clause,[],[f7,f1091]) ).
fof(f1091,plain,
( spl62_124
<=> succ(n3) = n4 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_124])]) ).
fof(f7,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f3]) ).
fof(f1089,plain,
spl62_123,
inference(avatar_split_clause,[],[f6,f1086]) ).
fof(f1086,plain,
( spl62_123
<=> succ(n2) = n3 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_123])]) ).
fof(f6,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f3]) ).
fof(f1084,plain,
spl62_122,
inference(avatar_split_clause,[],[f5,f1081]) ).
fof(f1081,plain,
( spl62_122
<=> succ(n1) = n2 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_122])]) ).
fof(f5,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f3]) ).
fof(f1079,plain,
spl62_121,
inference(avatar_split_clause,[],[f4,f1076]) ).
fof(f1076,plain,
( spl62_121
<=> succ(n0) = n1 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_121])]) ).
fof(f4,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f3]) ).
fof(f1074,plain,
~ spl62_120,
inference(avatar_split_clause,[],[f474,f1071]) ).
fof(f1071,plain,
( spl62_120
<=> n14 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_120])]) ).
fof(f474,plain,
n14 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f1069,plain,
~ spl62_119,
inference(avatar_split_clause,[],[f473,f1066]) ).
fof(f1066,plain,
( spl62_119
<=> n13 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_119])]) ).
fof(f473,plain,
n13 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f1064,plain,
~ spl62_118,
inference(avatar_split_clause,[],[f472,f1061]) ).
fof(f1061,plain,
( spl62_118
<=> n13 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_118])]) ).
fof(f472,plain,
n13 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f1059,plain,
~ spl62_117,
inference(avatar_split_clause,[],[f471,f1056]) ).
fof(f1056,plain,
( spl62_117
<=> n12 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_117])]) ).
fof(f471,plain,
n12 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f1054,plain,
~ spl62_116,
inference(avatar_split_clause,[],[f470,f1051]) ).
fof(f1051,plain,
( spl62_116
<=> n12 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_116])]) ).
fof(f470,plain,
n12 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f1049,plain,
~ spl62_115,
inference(avatar_split_clause,[],[f469,f1046]) ).
fof(f1046,plain,
( spl62_115
<=> n12 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_115])]) ).
fof(f469,plain,
n12 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f1044,plain,
~ spl62_114,
inference(avatar_split_clause,[],[f468,f1041]) ).
fof(f1041,plain,
( spl62_114
<=> n11 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_114])]) ).
fof(f468,plain,
n11 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f1039,plain,
~ spl62_113,
inference(avatar_split_clause,[],[f467,f1036]) ).
fof(f1036,plain,
( spl62_113
<=> n11 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_113])]) ).
fof(f467,plain,
n11 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f1034,plain,
~ spl62_112,
inference(avatar_split_clause,[],[f466,f1031]) ).
fof(f1031,plain,
( spl62_112
<=> n11 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_112])]) ).
fof(f466,plain,
n11 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f1029,plain,
~ spl62_111,
inference(avatar_split_clause,[],[f465,f1026]) ).
fof(f1026,plain,
( spl62_111
<=> n11 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_111])]) ).
fof(f465,plain,
n11 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f1024,plain,
~ spl62_110,
inference(avatar_split_clause,[],[f464,f1021]) ).
fof(f1021,plain,
( spl62_110
<=> n10 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_110])]) ).
fof(f464,plain,
n10 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f1019,plain,
~ spl62_109,
inference(avatar_split_clause,[],[f463,f1016]) ).
fof(f1016,plain,
( spl62_109
<=> n10 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_109])]) ).
fof(f463,plain,
n10 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f1014,plain,
~ spl62_108,
inference(avatar_split_clause,[],[f462,f1011]) ).
fof(f1011,plain,
( spl62_108
<=> n10 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_108])]) ).
fof(f462,plain,
n10 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f1009,plain,
~ spl62_107,
inference(avatar_split_clause,[],[f461,f1006]) ).
fof(f1006,plain,
( spl62_107
<=> n10 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_107])]) ).
fof(f461,plain,
n10 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f1004,plain,
~ spl62_106,
inference(avatar_split_clause,[],[f460,f1001]) ).
fof(f1001,plain,
( spl62_106
<=> n10 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_106])]) ).
fof(f460,plain,
n10 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f999,plain,
~ spl62_105,
inference(avatar_split_clause,[],[f459,f996]) ).
fof(f996,plain,
( spl62_105
<=> n9 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_105])]) ).
fof(f459,plain,
n9 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f994,plain,
~ spl62_104,
inference(avatar_split_clause,[],[f458,f991]) ).
fof(f991,plain,
( spl62_104
<=> n9 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_104])]) ).
fof(f458,plain,
n9 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f989,plain,
~ spl62_103,
inference(avatar_split_clause,[],[f457,f986]) ).
fof(f986,plain,
( spl62_103
<=> n9 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_103])]) ).
fof(f457,plain,
n9 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f984,plain,
~ spl62_102,
inference(avatar_split_clause,[],[f456,f981]) ).
fof(f981,plain,
( spl62_102
<=> n9 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_102])]) ).
fof(f456,plain,
n9 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f979,plain,
~ spl62_101,
inference(avatar_split_clause,[],[f455,f976]) ).
fof(f976,plain,
( spl62_101
<=> n9 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_101])]) ).
fof(f455,plain,
n9 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f974,plain,
~ spl62_100,
inference(avatar_split_clause,[],[f454,f971]) ).
fof(f971,plain,
( spl62_100
<=> n9 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_100])]) ).
fof(f454,plain,
n9 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f969,plain,
~ spl62_99,
inference(avatar_split_clause,[],[f453,f966]) ).
fof(f966,plain,
( spl62_99
<=> n8 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_99])]) ).
fof(f453,plain,
n8 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f964,plain,
~ spl62_98,
inference(avatar_split_clause,[],[f452,f961]) ).
fof(f961,plain,
( spl62_98
<=> n8 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_98])]) ).
fof(f452,plain,
n8 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f959,plain,
~ spl62_97,
inference(avatar_split_clause,[],[f451,f956]) ).
fof(f956,plain,
( spl62_97
<=> n8 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_97])]) ).
fof(f451,plain,
n8 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f954,plain,
~ spl62_96,
inference(avatar_split_clause,[],[f450,f951]) ).
fof(f951,plain,
( spl62_96
<=> n8 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_96])]) ).
fof(f450,plain,
n8 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f949,plain,
~ spl62_95,
inference(avatar_split_clause,[],[f449,f946]) ).
fof(f946,plain,
( spl62_95
<=> n8 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_95])]) ).
fof(f449,plain,
n8 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f944,plain,
~ spl62_94,
inference(avatar_split_clause,[],[f448,f941]) ).
fof(f941,plain,
( spl62_94
<=> n8 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_94])]) ).
fof(f448,plain,
n8 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f939,plain,
~ spl62_93,
inference(avatar_split_clause,[],[f447,f936]) ).
fof(f936,plain,
( spl62_93
<=> n8 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_93])]) ).
fof(f447,plain,
n8 != n9,
inference(cnf_transformation,[],[f3]) ).
fof(f934,plain,
~ spl62_92,
inference(avatar_split_clause,[],[f446,f931]) ).
fof(f931,plain,
( spl62_92
<=> n7 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_92])]) ).
fof(f446,plain,
n7 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f929,plain,
~ spl62_91,
inference(avatar_split_clause,[],[f445,f926]) ).
fof(f926,plain,
( spl62_91
<=> n7 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_91])]) ).
fof(f445,plain,
n7 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f924,plain,
~ spl62_90,
inference(avatar_split_clause,[],[f444,f921]) ).
fof(f921,plain,
( spl62_90
<=> n7 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_90])]) ).
fof(f444,plain,
n7 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f919,plain,
~ spl62_89,
inference(avatar_split_clause,[],[f443,f916]) ).
fof(f916,plain,
( spl62_89
<=> n7 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_89])]) ).
fof(f443,plain,
n7 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f914,plain,
~ spl62_88,
inference(avatar_split_clause,[],[f442,f911]) ).
fof(f911,plain,
( spl62_88
<=> n7 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_88])]) ).
fof(f442,plain,
n7 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f909,plain,
~ spl62_87,
inference(avatar_split_clause,[],[f441,f906]) ).
fof(f906,plain,
( spl62_87
<=> n7 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_87])]) ).
fof(f441,plain,
n7 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f904,plain,
~ spl62_86,
inference(avatar_split_clause,[],[f440,f901]) ).
fof(f901,plain,
( spl62_86
<=> n7 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_86])]) ).
fof(f440,plain,
n7 != n9,
inference(cnf_transformation,[],[f3]) ).
fof(f899,plain,
~ spl62_85,
inference(avatar_split_clause,[],[f439,f896]) ).
fof(f896,plain,
( spl62_85
<=> n7 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_85])]) ).
fof(f439,plain,
n7 != n8,
inference(cnf_transformation,[],[f3]) ).
fof(f894,plain,
~ spl62_84,
inference(avatar_split_clause,[],[f438,f891]) ).
fof(f891,plain,
( spl62_84
<=> n6 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_84])]) ).
fof(f438,plain,
n6 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f889,plain,
~ spl62_83,
inference(avatar_split_clause,[],[f437,f886]) ).
fof(f886,plain,
( spl62_83
<=> n6 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_83])]) ).
fof(f437,plain,
n6 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f884,plain,
~ spl62_82,
inference(avatar_split_clause,[],[f436,f881]) ).
fof(f881,plain,
( spl62_82
<=> n6 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_82])]) ).
fof(f436,plain,
n6 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f879,plain,
~ spl62_81,
inference(avatar_split_clause,[],[f435,f876]) ).
fof(f876,plain,
( spl62_81
<=> n6 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_81])]) ).
fof(f435,plain,
n6 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f874,plain,
~ spl62_80,
inference(avatar_split_clause,[],[f434,f871]) ).
fof(f871,plain,
( spl62_80
<=> n6 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_80])]) ).
fof(f434,plain,
n6 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f869,plain,
~ spl62_79,
inference(avatar_split_clause,[],[f433,f866]) ).
fof(f866,plain,
( spl62_79
<=> n6 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_79])]) ).
fof(f433,plain,
n6 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f864,plain,
~ spl62_78,
inference(avatar_split_clause,[],[f432,f861]) ).
fof(f861,plain,
( spl62_78
<=> n6 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_78])]) ).
fof(f432,plain,
n6 != n9,
inference(cnf_transformation,[],[f3]) ).
fof(f859,plain,
~ spl62_77,
inference(avatar_split_clause,[],[f431,f856]) ).
fof(f856,plain,
( spl62_77
<=> n6 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_77])]) ).
fof(f431,plain,
n6 != n8,
inference(cnf_transformation,[],[f3]) ).
fof(f854,plain,
~ spl62_76,
inference(avatar_split_clause,[],[f430,f851]) ).
fof(f851,plain,
( spl62_76
<=> n6 = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_76])]) ).
fof(f430,plain,
n6 != n7,
inference(cnf_transformation,[],[f3]) ).
fof(f849,plain,
~ spl62_75,
inference(avatar_split_clause,[],[f429,f846]) ).
fof(f846,plain,
( spl62_75
<=> n5 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_75])]) ).
fof(f429,plain,
n5 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f844,plain,
~ spl62_74,
inference(avatar_split_clause,[],[f428,f841]) ).
fof(f841,plain,
( spl62_74
<=> n5 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_74])]) ).
fof(f428,plain,
n5 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f839,plain,
~ spl62_73,
inference(avatar_split_clause,[],[f427,f836]) ).
fof(f836,plain,
( spl62_73
<=> n5 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_73])]) ).
fof(f427,plain,
n5 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f834,plain,
~ spl62_72,
inference(avatar_split_clause,[],[f426,f831]) ).
fof(f831,plain,
( spl62_72
<=> n5 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_72])]) ).
fof(f426,plain,
n5 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f829,plain,
~ spl62_71,
inference(avatar_split_clause,[],[f425,f826]) ).
fof(f826,plain,
( spl62_71
<=> n5 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_71])]) ).
fof(f425,plain,
n5 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f824,plain,
~ spl62_70,
inference(avatar_split_clause,[],[f424,f821]) ).
fof(f821,plain,
( spl62_70
<=> n5 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_70])]) ).
fof(f424,plain,
n5 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f819,plain,
~ spl62_69,
inference(avatar_split_clause,[],[f423,f816]) ).
fof(f816,plain,
( spl62_69
<=> n5 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_69])]) ).
fof(f423,plain,
n5 != n9,
inference(cnf_transformation,[],[f3]) ).
fof(f814,plain,
~ spl62_68,
inference(avatar_split_clause,[],[f422,f811]) ).
fof(f811,plain,
( spl62_68
<=> n5 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_68])]) ).
fof(f422,plain,
n5 != n8,
inference(cnf_transformation,[],[f3]) ).
fof(f809,plain,
~ spl62_67,
inference(avatar_split_clause,[],[f421,f806]) ).
fof(f806,plain,
( spl62_67
<=> n5 = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_67])]) ).
fof(f421,plain,
n5 != n7,
inference(cnf_transformation,[],[f3]) ).
fof(f804,plain,
~ spl62_66,
inference(avatar_split_clause,[],[f420,f801]) ).
fof(f801,plain,
( spl62_66
<=> n5 = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_66])]) ).
fof(f420,plain,
n5 != n6,
inference(cnf_transformation,[],[f3]) ).
fof(f799,plain,
~ spl62_65,
inference(avatar_split_clause,[],[f419,f796]) ).
fof(f796,plain,
( spl62_65
<=> n4 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_65])]) ).
fof(f419,plain,
n4 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f794,plain,
~ spl62_64,
inference(avatar_split_clause,[],[f418,f791]) ).
fof(f791,plain,
( spl62_64
<=> n4 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_64])]) ).
fof(f418,plain,
n4 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f789,plain,
~ spl62_63,
inference(avatar_split_clause,[],[f417,f786]) ).
fof(f786,plain,
( spl62_63
<=> n4 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_63])]) ).
fof(f417,plain,
n4 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f784,plain,
~ spl62_62,
inference(avatar_split_clause,[],[f416,f781]) ).
fof(f781,plain,
( spl62_62
<=> n4 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_62])]) ).
fof(f416,plain,
n4 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f779,plain,
~ spl62_61,
inference(avatar_split_clause,[],[f415,f776]) ).
fof(f776,plain,
( spl62_61
<=> n4 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_61])]) ).
fof(f415,plain,
n4 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f774,plain,
~ spl62_60,
inference(avatar_split_clause,[],[f414,f771]) ).
fof(f771,plain,
( spl62_60
<=> n4 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_60])]) ).
fof(f414,plain,
n4 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f769,plain,
~ spl62_59,
inference(avatar_split_clause,[],[f413,f766]) ).
fof(f766,plain,
( spl62_59
<=> n4 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_59])]) ).
fof(f413,plain,
n4 != n9,
inference(cnf_transformation,[],[f3]) ).
fof(f764,plain,
~ spl62_58,
inference(avatar_split_clause,[],[f412,f761]) ).
fof(f761,plain,
( spl62_58
<=> n4 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_58])]) ).
fof(f412,plain,
n4 != n8,
inference(cnf_transformation,[],[f3]) ).
fof(f759,plain,
~ spl62_57,
inference(avatar_split_clause,[],[f411,f756]) ).
fof(f756,plain,
( spl62_57
<=> n4 = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_57])]) ).
fof(f411,plain,
n4 != n7,
inference(cnf_transformation,[],[f3]) ).
fof(f754,plain,
~ spl62_56,
inference(avatar_split_clause,[],[f410,f751]) ).
fof(f751,plain,
( spl62_56
<=> n4 = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_56])]) ).
fof(f410,plain,
n4 != n6,
inference(cnf_transformation,[],[f3]) ).
fof(f749,plain,
~ spl62_55,
inference(avatar_split_clause,[],[f409,f746]) ).
fof(f746,plain,
( spl62_55
<=> n4 = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_55])]) ).
fof(f409,plain,
n4 != n5,
inference(cnf_transformation,[],[f3]) ).
fof(f744,plain,
~ spl62_54,
inference(avatar_split_clause,[],[f408,f741]) ).
fof(f741,plain,
( spl62_54
<=> n3 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_54])]) ).
fof(f408,plain,
n3 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f739,plain,
~ spl62_53,
inference(avatar_split_clause,[],[f407,f736]) ).
fof(f736,plain,
( spl62_53
<=> n3 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_53])]) ).
fof(f407,plain,
n3 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f734,plain,
~ spl62_52,
inference(avatar_split_clause,[],[f406,f731]) ).
fof(f731,plain,
( spl62_52
<=> n3 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_52])]) ).
fof(f406,plain,
n3 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f729,plain,
~ spl62_51,
inference(avatar_split_clause,[],[f405,f726]) ).
fof(f726,plain,
( spl62_51
<=> n3 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_51])]) ).
fof(f405,plain,
n3 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f724,plain,
~ spl62_50,
inference(avatar_split_clause,[],[f404,f721]) ).
fof(f721,plain,
( spl62_50
<=> n3 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_50])]) ).
fof(f404,plain,
n3 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f719,plain,
~ spl62_49,
inference(avatar_split_clause,[],[f403,f716]) ).
fof(f716,plain,
( spl62_49
<=> n3 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_49])]) ).
fof(f403,plain,
n3 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f714,plain,
~ spl62_48,
inference(avatar_split_clause,[],[f402,f711]) ).
fof(f711,plain,
( spl62_48
<=> n3 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_48])]) ).
fof(f402,plain,
n3 != n9,
inference(cnf_transformation,[],[f3]) ).
fof(f709,plain,
~ spl62_47,
inference(avatar_split_clause,[],[f401,f706]) ).
fof(f706,plain,
( spl62_47
<=> n3 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_47])]) ).
fof(f401,plain,
n3 != n8,
inference(cnf_transformation,[],[f3]) ).
fof(f704,plain,
~ spl62_46,
inference(avatar_split_clause,[],[f400,f701]) ).
fof(f701,plain,
( spl62_46
<=> n3 = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_46])]) ).
fof(f400,plain,
n3 != n7,
inference(cnf_transformation,[],[f3]) ).
fof(f699,plain,
~ spl62_45,
inference(avatar_split_clause,[],[f399,f696]) ).
fof(f696,plain,
( spl62_45
<=> n3 = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_45])]) ).
fof(f399,plain,
n3 != n6,
inference(cnf_transformation,[],[f3]) ).
fof(f694,plain,
~ spl62_44,
inference(avatar_split_clause,[],[f398,f691]) ).
fof(f691,plain,
( spl62_44
<=> n3 = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_44])]) ).
fof(f398,plain,
n3 != n5,
inference(cnf_transformation,[],[f3]) ).
fof(f689,plain,
~ spl62_43,
inference(avatar_split_clause,[],[f397,f686]) ).
fof(f686,plain,
( spl62_43
<=> n3 = n4 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_43])]) ).
fof(f397,plain,
n3 != n4,
inference(cnf_transformation,[],[f3]) ).
fof(f684,plain,
~ spl62_42,
inference(avatar_split_clause,[],[f396,f681]) ).
fof(f681,plain,
( spl62_42
<=> n2 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_42])]) ).
fof(f396,plain,
n2 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f679,plain,
~ spl62_41,
inference(avatar_split_clause,[],[f395,f676]) ).
fof(f676,plain,
( spl62_41
<=> n2 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_41])]) ).
fof(f395,plain,
n2 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f674,plain,
~ spl62_40,
inference(avatar_split_clause,[],[f394,f671]) ).
fof(f671,plain,
( spl62_40
<=> n2 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_40])]) ).
fof(f394,plain,
n2 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f669,plain,
~ spl62_39,
inference(avatar_split_clause,[],[f393,f666]) ).
fof(f666,plain,
( spl62_39
<=> n2 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_39])]) ).
fof(f393,plain,
n2 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f664,plain,
~ spl62_38,
inference(avatar_split_clause,[],[f392,f661]) ).
fof(f661,plain,
( spl62_38
<=> n2 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_38])]) ).
fof(f392,plain,
n2 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f659,plain,
~ spl62_37,
inference(avatar_split_clause,[],[f391,f656]) ).
fof(f656,plain,
( spl62_37
<=> n2 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_37])]) ).
fof(f391,plain,
n2 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f654,plain,
~ spl62_36,
inference(avatar_split_clause,[],[f390,f651]) ).
fof(f651,plain,
( spl62_36
<=> n2 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_36])]) ).
fof(f390,plain,
n2 != n9,
inference(cnf_transformation,[],[f3]) ).
fof(f649,plain,
~ spl62_35,
inference(avatar_split_clause,[],[f389,f646]) ).
fof(f646,plain,
( spl62_35
<=> n2 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_35])]) ).
fof(f389,plain,
n2 != n8,
inference(cnf_transformation,[],[f3]) ).
fof(f644,plain,
~ spl62_34,
inference(avatar_split_clause,[],[f388,f641]) ).
fof(f641,plain,
( spl62_34
<=> n2 = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_34])]) ).
fof(f388,plain,
n2 != n7,
inference(cnf_transformation,[],[f3]) ).
fof(f639,plain,
~ spl62_33,
inference(avatar_split_clause,[],[f387,f636]) ).
fof(f636,plain,
( spl62_33
<=> n2 = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_33])]) ).
fof(f387,plain,
n2 != n6,
inference(cnf_transformation,[],[f3]) ).
fof(f634,plain,
~ spl62_32,
inference(avatar_split_clause,[],[f386,f631]) ).
fof(f631,plain,
( spl62_32
<=> n2 = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_32])]) ).
fof(f386,plain,
n2 != n5,
inference(cnf_transformation,[],[f3]) ).
fof(f629,plain,
~ spl62_31,
inference(avatar_split_clause,[],[f385,f626]) ).
fof(f626,plain,
( spl62_31
<=> n2 = n4 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_31])]) ).
fof(f385,plain,
n2 != n4,
inference(cnf_transformation,[],[f3]) ).
fof(f624,plain,
~ spl62_30,
inference(avatar_split_clause,[],[f384,f621]) ).
fof(f621,plain,
( spl62_30
<=> n2 = n3 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_30])]) ).
fof(f384,plain,
n2 != n3,
inference(cnf_transformation,[],[f3]) ).
fof(f619,plain,
~ spl62_29,
inference(avatar_split_clause,[],[f383,f616]) ).
fof(f616,plain,
( spl62_29
<=> n1 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_29])]) ).
fof(f383,plain,
n1 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f614,plain,
~ spl62_28,
inference(avatar_split_clause,[],[f382,f611]) ).
fof(f611,plain,
( spl62_28
<=> n1 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_28])]) ).
fof(f382,plain,
n1 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f609,plain,
~ spl62_27,
inference(avatar_split_clause,[],[f381,f606]) ).
fof(f606,plain,
( spl62_27
<=> n1 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_27])]) ).
fof(f381,plain,
n1 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f604,plain,
~ spl62_26,
inference(avatar_split_clause,[],[f380,f601]) ).
fof(f601,plain,
( spl62_26
<=> n1 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_26])]) ).
fof(f380,plain,
n1 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f599,plain,
~ spl62_25,
inference(avatar_split_clause,[],[f379,f596]) ).
fof(f596,plain,
( spl62_25
<=> n1 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_25])]) ).
fof(f379,plain,
n1 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f594,plain,
~ spl62_24,
inference(avatar_split_clause,[],[f378,f591]) ).
fof(f591,plain,
( spl62_24
<=> n1 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_24])]) ).
fof(f378,plain,
n1 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f589,plain,
~ spl62_23,
inference(avatar_split_clause,[],[f377,f586]) ).
fof(f586,plain,
( spl62_23
<=> n1 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_23])]) ).
fof(f377,plain,
n1 != n9,
inference(cnf_transformation,[],[f3]) ).
fof(f584,plain,
~ spl62_22,
inference(avatar_split_clause,[],[f376,f581]) ).
fof(f581,plain,
( spl62_22
<=> n1 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_22])]) ).
fof(f376,plain,
n1 != n8,
inference(cnf_transformation,[],[f3]) ).
fof(f579,plain,
~ spl62_21,
inference(avatar_split_clause,[],[f375,f576]) ).
fof(f576,plain,
( spl62_21
<=> n1 = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_21])]) ).
fof(f375,plain,
n1 != n7,
inference(cnf_transformation,[],[f3]) ).
fof(f574,plain,
~ spl62_20,
inference(avatar_split_clause,[],[f374,f571]) ).
fof(f571,plain,
( spl62_20
<=> n1 = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_20])]) ).
fof(f374,plain,
n1 != n6,
inference(cnf_transformation,[],[f3]) ).
fof(f569,plain,
~ spl62_19,
inference(avatar_split_clause,[],[f373,f566]) ).
fof(f566,plain,
( spl62_19
<=> n1 = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_19])]) ).
fof(f373,plain,
n1 != n5,
inference(cnf_transformation,[],[f3]) ).
fof(f564,plain,
~ spl62_18,
inference(avatar_split_clause,[],[f372,f561]) ).
fof(f561,plain,
( spl62_18
<=> n1 = n4 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_18])]) ).
fof(f372,plain,
n1 != n4,
inference(cnf_transformation,[],[f3]) ).
fof(f559,plain,
~ spl62_17,
inference(avatar_split_clause,[],[f371,f556]) ).
fof(f556,plain,
( spl62_17
<=> n1 = n3 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_17])]) ).
fof(f371,plain,
n1 != n3,
inference(cnf_transformation,[],[f3]) ).
fof(f554,plain,
~ spl62_16,
inference(avatar_split_clause,[],[f370,f551]) ).
fof(f551,plain,
( spl62_16
<=> n1 = n2 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_16])]) ).
fof(f370,plain,
n1 != n2,
inference(cnf_transformation,[],[f3]) ).
fof(f549,plain,
~ spl62_15,
inference(avatar_split_clause,[],[f369,f546]) ).
fof(f546,plain,
( spl62_15
<=> n0 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_15])]) ).
fof(f369,plain,
n0 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f544,plain,
~ spl62_14,
inference(avatar_split_clause,[],[f368,f541]) ).
fof(f541,plain,
( spl62_14
<=> n0 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_14])]) ).
fof(f368,plain,
n0 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f539,plain,
~ spl62_13,
inference(avatar_split_clause,[],[f367,f536]) ).
fof(f536,plain,
( spl62_13
<=> n0 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_13])]) ).
fof(f367,plain,
n0 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f534,plain,
~ spl62_12,
inference(avatar_split_clause,[],[f366,f531]) ).
fof(f531,plain,
( spl62_12
<=> n0 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_12])]) ).
fof(f366,plain,
n0 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f529,plain,
~ spl62_11,
inference(avatar_split_clause,[],[f365,f526]) ).
fof(f526,plain,
( spl62_11
<=> n0 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_11])]) ).
fof(f365,plain,
n0 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f524,plain,
~ spl62_10,
inference(avatar_split_clause,[],[f364,f521]) ).
fof(f521,plain,
( spl62_10
<=> n0 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_10])]) ).
fof(f364,plain,
n0 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f519,plain,
~ spl62_9,
inference(avatar_split_clause,[],[f363,f516]) ).
fof(f516,plain,
( spl62_9
<=> n0 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_9])]) ).
fof(f363,plain,
n0 != n9,
inference(cnf_transformation,[],[f3]) ).
fof(f514,plain,
~ spl62_8,
inference(avatar_split_clause,[],[f362,f511]) ).
fof(f511,plain,
( spl62_8
<=> n0 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_8])]) ).
fof(f362,plain,
n0 != n8,
inference(cnf_transformation,[],[f3]) ).
fof(f509,plain,
~ spl62_7,
inference(avatar_split_clause,[],[f361,f506]) ).
fof(f506,plain,
( spl62_7
<=> n0 = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_7])]) ).
fof(f361,plain,
n0 != n7,
inference(cnf_transformation,[],[f3]) ).
fof(f504,plain,
~ spl62_6,
inference(avatar_split_clause,[],[f360,f501]) ).
fof(f501,plain,
( spl62_6
<=> n0 = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_6])]) ).
fof(f360,plain,
n0 != n6,
inference(cnf_transformation,[],[f3]) ).
fof(f499,plain,
~ spl62_5,
inference(avatar_split_clause,[],[f359,f496]) ).
fof(f496,plain,
( spl62_5
<=> n0 = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_5])]) ).
fof(f359,plain,
n0 != n5,
inference(cnf_transformation,[],[f3]) ).
fof(f494,plain,
~ spl62_4,
inference(avatar_split_clause,[],[f358,f491]) ).
fof(f491,plain,
( spl62_4
<=> n0 = n4 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_4])]) ).
fof(f358,plain,
n0 != n4,
inference(cnf_transformation,[],[f3]) ).
fof(f489,plain,
~ spl62_3,
inference(avatar_split_clause,[],[f357,f486]) ).
fof(f486,plain,
( spl62_3
<=> n0 = n3 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_3])]) ).
fof(f357,plain,
n0 != n3,
inference(cnf_transformation,[],[f3]) ).
fof(f484,plain,
~ spl62_2,
inference(avatar_split_clause,[],[f356,f481]) ).
fof(f481,plain,
( spl62_2
<=> n0 = n2 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_2])]) ).
fof(f356,plain,
n0 != n2,
inference(cnf_transformation,[],[f3]) ).
fof(f479,plain,
~ spl62_1,
inference(avatar_split_clause,[],[f355,f476]) ).
fof(f476,plain,
( spl62_1
<=> n0 = n1 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_1])]) ).
fof(f355,plain,
n0 != n1,
inference(cnf_transformation,[],[f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM378+1.015.010 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 30 14:41:59 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.44 % (24054)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.47 % (24107)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.47 % (24104)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.47 % (24105)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.47 % (24109)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.22/0.47 % (24108)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.22/0.47 % (24106)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.22/0.47 % (24111)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.22/0.51 Detected minimum model sizes of [16]
% 0.22/0.51 Detected maximum model sizes of [max]
% 0.22/0.51 Detected minimum model sizes of [16]
% 0.22/0.51 Detected maximum model sizes of [max]
% 0.22/0.53 TRYING [16]
% 0.22/0.53 TRYING [16]
% 7.67/1.59 Detected minimum model sizes of [16]
% 7.67/1.59 Detected maximum model sizes of [max]
% 7.67/1.60 TRYING [16]
% 9.38/1.84 % (24106)First to succeed.
% 9.38/1.85 % (24106)Refutation found. Thanks to Tanya!
% 9.38/1.85 % SZS status Unsatisfiable for Vampire---4
% 9.38/1.85 % SZS output start Proof for Vampire---4
% See solution above
% 9.38/1.87 % (24106)------------------------------
% 9.38/1.87 % (24106)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 9.38/1.87 % (24106)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 9.38/1.87 % (24106)Termination reason: Refutation
% 9.38/1.87
% 9.38/1.87 % (24106)Memory used [KB]: 8187
% 9.38/1.87 % (24106)Time elapsed: 1.385 s
% 9.38/1.87 % (24106)------------------------------
% 9.38/1.87 % (24106)------------------------------
% 9.38/1.87 % (24054)Success in time 1.468 s
% 9.38/1.87 % Vampire---4.8 exiting
%------------------------------------------------------------------------------