TSTP Solution File: NUM377+1.015 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM377+1.015 : 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 : n005.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 20:09:58 EDT 2023
% Result : Unsatisfiable 5.71s 1.28s
% Output : Refutation 5.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 488
% Syntax : Number of formulae : 1382 ( 877 unt; 0 def)
% Number of atoms : 3917 (2920 equ)
% Maximal formula atoms : 970 ( 2 avg)
% Number of connectives : 3369 ( 834 ~; 288 |;1760 &)
% ( 486 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 474 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 488 ( 486 usr; 487 prp; 0-2 aty)
% Number of functors : 51 ( 51 usr; 48 con; 0-2 aty)
% Number of variables : 64 (; 0 !; 64 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2875,plain,
$false,
inference(avatar_smt_refutation,[],[f449,f454,f459,f464,f469,f474,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,f2519,f2524,f2529,f2534,f2539,f2544,f2549,f2554,f2559,f2564,f2569,f2574,f2579,f2584,f2589,f2594,f2599,f2604,f2609,f2614,f2619,f2624,f2629,f2634,f2695,f2760,f2787,f2874]) ).
fof(f2874,plain,
( spl32_471
| spl32_472
| spl32_473
| spl32_474
| spl32_475
| spl32_476
| spl32_477
| spl32_478
| spl32_479
| spl32_480
| spl32_481
| spl32_482
| spl32_483
| spl32_484
| spl32_485
| spl32_486 ),
inference(avatar_split_clause,[],[f293,f2871,f2867,f2863,f2859,f2855,f2851,f2847,f2843,f2839,f2835,f2831,f2827,f2823,f2819,f2815,f2811]) ).
fof(f2811,plain,
( spl32_471
<=> n0 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_471])]) ).
fof(f2815,plain,
( spl32_472
<=> n1 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_472])]) ).
fof(f2819,plain,
( spl32_473
<=> n2 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_473])]) ).
fof(f2823,plain,
( spl32_474
<=> n3 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_474])]) ).
fof(f2827,plain,
( spl32_475
<=> n4 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_475])]) ).
fof(f2831,plain,
( spl32_476
<=> n5 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_476])]) ).
fof(f2835,plain,
( spl32_477
<=> n6 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_477])]) ).
fof(f2839,plain,
( spl32_478
<=> n7 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_478])]) ).
fof(f2843,plain,
( spl32_479
<=> n8 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_479])]) ).
fof(f2847,plain,
( spl32_480
<=> n9 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_480])]) ).
fof(f2851,plain,
( spl32_481
<=> n10 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_481])]) ).
fof(f2855,plain,
( spl32_482
<=> n11 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_482])]) ).
fof(f2859,plain,
( spl32_483
<=> n12 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_483])]) ).
fof(f2863,plain,
( spl32_484
<=> n13 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_484])]) ).
fof(f2867,plain,
( spl32_485
<=> n14 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_485])]) ).
fof(f2871,plain,
( spl32_486
<=> n15 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_486])]) ).
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
& ( sK30 != sK31
| sK28 != sK29
| sK26 != sK27
| sK24 != sK25
| sK22 != sK23
| sK20 != sK21
| sK18 != sK19
| sK16 != sK17
| sK14 != sK15
| sK12 != sK13
| sK10 != sK11
| sK8 != sK9
| sK6 != sK7
| sK4 != sK5
| sK2 != sK3 )
& sK31 = sum(sum(pred(sK28),succ(sK28)),sum(pred(sK29),succ(sK29)))
& sK30 = sum(sum(pred(sK28),succ(sK29)),sum(pred(sK29),succ(sK28)))
& sK29 = sum(sum(pred(sK26),succ(sK26)),sum(pred(sK27),succ(sK27)))
& sK28 = sum(sum(pred(sK26),succ(sK27)),sum(pred(sK27),succ(sK26)))
& sK27 = sum(sum(pred(sK24),succ(sK24)),sum(pred(sK25),succ(sK25)))
& sK26 = sum(sum(pred(sK24),succ(sK25)),sum(pred(sK25),succ(sK24)))
& sK25 = sum(sum(pred(sK22),succ(sK22)),sum(pred(sK23),succ(sK23)))
& sK24 = sum(sum(pred(sK22),succ(sK23)),sum(pred(sK23),succ(sK22)))
& sK23 = sum(sum(pred(sK20),succ(sK20)),sum(pred(sK21),succ(sK21)))
& sK22 = sum(sum(pred(sK20),succ(sK21)),sum(pred(sK21),succ(sK20)))
& sK21 = sum(sum(pred(sK18),succ(sK18)),sum(pred(sK19),succ(sK19)))
& sK20 = sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18)))
& sK19 = sum(sum(pred(sK16),succ(sK16)),sum(pred(sK17),succ(sK17)))
& sK18 = sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16)))
& sK17 = sum(sum(pred(sK14),succ(sK14)),sum(pred(sK15),succ(sK15)))
& sK16 = sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14)))
& sK15 = sum(sum(pred(sK12),succ(sK12)),sum(pred(sK13),succ(sK13)))
& sK14 = sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12)))
& sK13 = sum(sum(pred(sK10),succ(sK10)),sum(pred(sK11),succ(sK11)))
& sK12 = sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10)))
& sK11 = sum(sum(pred(sK8),succ(sK8)),sum(pred(sK9),succ(sK9)))
& sK10 = sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8)))
& sK9 = sum(sum(pred(sK6),succ(sK6)),sum(pred(sK7),succ(sK7)))
& sK8 = sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6)))
& sK7 = sum(sum(pred(sK4),succ(sK4)),sum(pred(sK5),succ(sK5)))
& sK6 = sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4)))
& sK5 = sum(sum(pred(sK2),succ(sK2)),sum(pred(sK3),succ(sK3)))
& sK4 = sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2)))
& sK3 = sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))
& sK2 = sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(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])],[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] :
( 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
& ( X30 != X31
| X28 != X29
| X26 != X27
| X24 != X25
| X22 != X23
| X20 != X21
| X18 != X19
| X16 != X17
| X14 != X15
| X12 != X13
| X10 != X11
| X8 != X9
| X6 != X7
| X4 != X5
| X2 != X3 )
& sum(sum(pred(X28),succ(X28)),sum(pred(X29),succ(X29))) = X31
& sum(sum(pred(X28),succ(X29)),sum(pred(X29),succ(X28))) = X30
& sum(sum(pred(X26),succ(X26)),sum(pred(X27),succ(X27))) = X29
& sum(sum(pred(X26),succ(X27)),sum(pred(X27),succ(X26))) = X28
& sum(sum(pred(X24),succ(X24)),sum(pred(X25),succ(X25))) = X27
& sum(sum(pred(X24),succ(X25)),sum(pred(X25),succ(X24))) = X26
& sum(sum(pred(X22),succ(X22)),sum(pred(X23),succ(X23))) = X25
& sum(sum(pred(X22),succ(X23)),sum(pred(X23),succ(X22))) = X24
& sum(sum(pred(X20),succ(X20)),sum(pred(X21),succ(X21))) = X23
& sum(sum(pred(X20),succ(X21)),sum(pred(X21),succ(X20))) = X22
& sum(sum(pred(X18),succ(X18)),sum(pred(X19),succ(X19))) = X21
& sum(sum(pred(X18),succ(X19)),sum(pred(X19),succ(X18))) = X20
& sum(sum(pred(X16),succ(X16)),sum(pred(X17),succ(X17))) = X19
& sum(sum(pred(X16),succ(X17)),sum(pred(X17),succ(X16))) = X18
& sum(sum(pred(X14),succ(X14)),sum(pred(X15),succ(X15))) = X17
& sum(sum(pred(X14),succ(X15)),sum(pred(X15),succ(X14))) = X16
& sum(sum(pred(X12),succ(X12)),sum(pred(X13),succ(X13))) = X15
& sum(sum(pred(X12),succ(X13)),sum(pred(X13),succ(X12))) = X14
& sum(sum(pred(X10),succ(X10)),sum(pred(X11),succ(X11))) = X13
& sum(sum(pred(X10),succ(X11)),sum(pred(X11),succ(X10))) = X12
& sum(sum(pred(X8),succ(X8)),sum(pred(X9),succ(X9))) = X11
& sum(sum(pred(X8),succ(X9)),sum(pred(X9),succ(X8))) = X10
& sum(sum(pred(X6),succ(X6)),sum(pred(X7),succ(X7))) = X9
& sum(sum(pred(X6),succ(X7)),sum(pred(X7),succ(X6))) = X8
& sum(sum(pred(X4),succ(X4)),sum(pred(X5),succ(X5))) = X7
& sum(sum(pred(X4),succ(X5)),sum(pred(X5),succ(X4))) = X6
& sum(sum(pred(X2),succ(X2)),sum(pred(X3),succ(X3))) = X5
& sum(sum(pred(X2),succ(X3)),sum(pred(X3),succ(X2))) = X4
& sum(sum(pred(X0),succ(X0)),sum(pred(X1),succ(X1))) = X3
& sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) = X2
& ( 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
& ( sK30 != sK31
| sK28 != sK29
| sK26 != sK27
| sK24 != sK25
| sK22 != sK23
| sK20 != sK21
| sK18 != sK19
| sK16 != sK17
| sK14 != sK15
| sK12 != sK13
| sK10 != sK11
| sK8 != sK9
| sK6 != sK7
| sK4 != sK5
| sK2 != sK3 )
& sK31 = sum(sum(pred(sK28),succ(sK28)),sum(pred(sK29),succ(sK29)))
& sK30 = sum(sum(pred(sK28),succ(sK29)),sum(pred(sK29),succ(sK28)))
& sK29 = sum(sum(pred(sK26),succ(sK26)),sum(pred(sK27),succ(sK27)))
& sK28 = sum(sum(pred(sK26),succ(sK27)),sum(pred(sK27),succ(sK26)))
& sK27 = sum(sum(pred(sK24),succ(sK24)),sum(pred(sK25),succ(sK25)))
& sK26 = sum(sum(pred(sK24),succ(sK25)),sum(pred(sK25),succ(sK24)))
& sK25 = sum(sum(pred(sK22),succ(sK22)),sum(pred(sK23),succ(sK23)))
& sK24 = sum(sum(pred(sK22),succ(sK23)),sum(pred(sK23),succ(sK22)))
& sK23 = sum(sum(pred(sK20),succ(sK20)),sum(pred(sK21),succ(sK21)))
& sK22 = sum(sum(pred(sK20),succ(sK21)),sum(pred(sK21),succ(sK20)))
& sK21 = sum(sum(pred(sK18),succ(sK18)),sum(pred(sK19),succ(sK19)))
& sK20 = sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18)))
& sK19 = sum(sum(pred(sK16),succ(sK16)),sum(pred(sK17),succ(sK17)))
& sK18 = sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16)))
& sK17 = sum(sum(pred(sK14),succ(sK14)),sum(pred(sK15),succ(sK15)))
& sK16 = sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14)))
& sK15 = sum(sum(pred(sK12),succ(sK12)),sum(pred(sK13),succ(sK13)))
& sK14 = sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12)))
& sK13 = sum(sum(pred(sK10),succ(sK10)),sum(pred(sK11),succ(sK11)))
& sK12 = sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10)))
& sK11 = sum(sum(pred(sK8),succ(sK8)),sum(pred(sK9),succ(sK9)))
& sK10 = sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8)))
& sK9 = sum(sum(pred(sK6),succ(sK6)),sum(pred(sK7),succ(sK7)))
& sK8 = sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6)))
& sK7 = sum(sum(pred(sK4),succ(sK4)),sum(pred(sK5),succ(sK5)))
& sK6 = sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4)))
& sK5 = sum(sum(pred(sK2),succ(sK2)),sum(pred(sK3),succ(sK3)))
& sK4 = sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2)))
& sK3 = sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))
& sK2 = sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(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] :
( 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
& ( X30 != X31
| X28 != X29
| X26 != X27
| X24 != X25
| X22 != X23
| X20 != X21
| X18 != X19
| X16 != X17
| X14 != X15
| X12 != X13
| X10 != X11
| X8 != X9
| X6 != X7
| X4 != X5
| X2 != X3 )
& sum(sum(pred(X28),succ(X28)),sum(pred(X29),succ(X29))) = X31
& sum(sum(pred(X28),succ(X29)),sum(pred(X29),succ(X28))) = X30
& sum(sum(pred(X26),succ(X26)),sum(pred(X27),succ(X27))) = X29
& sum(sum(pred(X26),succ(X27)),sum(pred(X27),succ(X26))) = X28
& sum(sum(pred(X24),succ(X24)),sum(pred(X25),succ(X25))) = X27
& sum(sum(pred(X24),succ(X25)),sum(pred(X25),succ(X24))) = X26
& sum(sum(pred(X22),succ(X22)),sum(pred(X23),succ(X23))) = X25
& sum(sum(pred(X22),succ(X23)),sum(pred(X23),succ(X22))) = X24
& sum(sum(pred(X20),succ(X20)),sum(pred(X21),succ(X21))) = X23
& sum(sum(pred(X20),succ(X21)),sum(pred(X21),succ(X20))) = X22
& sum(sum(pred(X18),succ(X18)),sum(pred(X19),succ(X19))) = X21
& sum(sum(pred(X18),succ(X19)),sum(pred(X19),succ(X18))) = X20
& sum(sum(pred(X16),succ(X16)),sum(pred(X17),succ(X17))) = X19
& sum(sum(pred(X16),succ(X17)),sum(pred(X17),succ(X16))) = X18
& sum(sum(pred(X14),succ(X14)),sum(pred(X15),succ(X15))) = X17
& sum(sum(pred(X14),succ(X15)),sum(pred(X15),succ(X14))) = X16
& sum(sum(pred(X12),succ(X12)),sum(pred(X13),succ(X13))) = X15
& sum(sum(pred(X12),succ(X13)),sum(pred(X13),succ(X12))) = X14
& sum(sum(pred(X10),succ(X10)),sum(pred(X11),succ(X11))) = X13
& sum(sum(pred(X10),succ(X11)),sum(pred(X11),succ(X10))) = X12
& sum(sum(pred(X8),succ(X8)),sum(pred(X9),succ(X9))) = X11
& sum(sum(pred(X8),succ(X9)),sum(pred(X9),succ(X8))) = X10
& sum(sum(pred(X6),succ(X6)),sum(pred(X7),succ(X7))) = X9
& sum(sum(pred(X6),succ(X7)),sum(pred(X7),succ(X6))) = X8
& sum(sum(pred(X4),succ(X4)),sum(pred(X5),succ(X5))) = X7
& sum(sum(pred(X4),succ(X5)),sum(pred(X5),succ(X4))) = X6
& sum(sum(pred(X2),succ(X2)),sum(pred(X3),succ(X3))) = X5
& sum(sum(pred(X2),succ(X3)),sum(pred(X3),succ(X2))) = X4
& sum(sum(pred(X0),succ(X0)),sum(pred(X1),succ(X1))) = X3
& sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) = X2
& ( 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.iQxkrnzEjj/Vampire---4.8_28526',try_satisfy_this) ).
fof(f2787,plain,
( spl32_470
| ~ spl32_136
| ~ spl32_152
| ~ spl32_377
| ~ spl32_410
| ~ spl32_469 ),
inference(avatar_split_clause,[],[f2782,f2757,f2491,f2326,f1201,f1121,f2784]) ).
fof(f2784,plain,
( spl32_470
<=> sK3 = sum(n14,sum(pred(sK1),succ(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_470])]) ).
fof(f1121,plain,
( spl32_136
<=> n0 = succ(n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_136])]) ).
fof(f1201,plain,
( spl32_152
<=> n14 = pred(n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_152])]) ).
fof(f2326,plain,
( spl32_377
<=> n14 = sum(n14,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_377])]) ).
fof(f2491,plain,
( spl32_410
<=> sK3 = sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_410])]) ).
fof(f2757,plain,
( spl32_469
<=> n15 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_469])]) ).
fof(f2782,plain,
( sK3 = sum(n14,sum(pred(sK1),succ(sK1)))
| ~ spl32_136
| ~ spl32_152
| ~ spl32_377
| ~ spl32_410
| ~ spl32_469 ),
inference(forward_demodulation,[],[f2781,f2328]) ).
fof(f2328,plain,
( n14 = sum(n14,n0)
| ~ spl32_377 ),
inference(avatar_component_clause,[],[f2326]) ).
fof(f2781,plain,
( sK3 = sum(sum(n14,n0),sum(pred(sK1),succ(sK1)))
| ~ spl32_136
| ~ spl32_152
| ~ spl32_410
| ~ spl32_469 ),
inference(forward_demodulation,[],[f2780,f1203]) ).
fof(f1203,plain,
( n14 = pred(n15)
| ~ spl32_152 ),
inference(avatar_component_clause,[],[f1201]) ).
fof(f2780,plain,
( sK3 = sum(sum(pred(n15),n0),sum(pred(sK1),succ(sK1)))
| ~ spl32_136
| ~ spl32_410
| ~ spl32_469 ),
inference(forward_demodulation,[],[f2762,f1123]) ).
fof(f1123,plain,
( n0 = succ(n15)
| ~ spl32_136 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f2762,plain,
( sK3 = sum(sum(pred(n15),succ(n15)),sum(pred(sK1),succ(sK1)))
| ~ spl32_410
| ~ spl32_469 ),
inference(superposition,[],[f2493,f2759]) ).
fof(f2759,plain,
( n15 = sK0
| ~ spl32_469 ),
inference(avatar_component_clause,[],[f2757]) ).
fof(f2493,plain,
( sK3 = sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1)))
| ~ spl32_410 ),
inference(avatar_component_clause,[],[f2491]) ).
fof(f2760,plain,
( spl32_454
| spl32_455
| spl32_456
| spl32_457
| spl32_458
| spl32_459
| spl32_460
| spl32_461
| spl32_462
| spl32_463
| spl32_464
| spl32_465
| spl32_466
| spl32_467
| spl32_468
| spl32_469 ),
inference(avatar_split_clause,[],[f292,f2757,f2753,f2749,f2745,f2741,f2737,f2733,f2729,f2725,f2721,f2717,f2713,f2709,f2705,f2701,f2697]) ).
fof(f2697,plain,
( spl32_454
<=> n0 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_454])]) ).
fof(f2701,plain,
( spl32_455
<=> n1 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_455])]) ).
fof(f2705,plain,
( spl32_456
<=> n2 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_456])]) ).
fof(f2709,plain,
( spl32_457
<=> n3 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_457])]) ).
fof(f2713,plain,
( spl32_458
<=> n4 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_458])]) ).
fof(f2717,plain,
( spl32_459
<=> n5 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_459])]) ).
fof(f2721,plain,
( spl32_460
<=> n6 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_460])]) ).
fof(f2725,plain,
( spl32_461
<=> n7 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_461])]) ).
fof(f2729,plain,
( spl32_462
<=> n8 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_462])]) ).
fof(f2733,plain,
( spl32_463
<=> n9 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_463])]) ).
fof(f2737,plain,
( spl32_464
<=> n10 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_464])]) ).
fof(f2741,plain,
( spl32_465
<=> n11 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_465])]) ).
fof(f2745,plain,
( spl32_466
<=> n12 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_466])]) ).
fof(f2749,plain,
( spl32_467
<=> n13 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_467])]) ).
fof(f2753,plain,
( spl32_468
<=> n14 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_468])]) ).
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(f2695,plain,
( ~ spl32_439
| ~ spl32_440
| ~ spl32_441
| ~ spl32_442
| ~ spl32_443
| ~ spl32_444
| ~ spl32_445
| ~ spl32_446
| ~ spl32_447
| ~ spl32_448
| ~ spl32_449
| ~ spl32_450
| ~ spl32_451
| ~ spl32_452
| ~ spl32_453 ),
inference(avatar_split_clause,[],[f324,f2692,f2688,f2684,f2680,f2676,f2672,f2668,f2664,f2660,f2656,f2652,f2648,f2644,f2640,f2636]) ).
fof(f2636,plain,
( spl32_439
<=> sK2 = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_439])]) ).
fof(f2640,plain,
( spl32_440
<=> sK4 = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_440])]) ).
fof(f2644,plain,
( spl32_441
<=> sK6 = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_441])]) ).
fof(f2648,plain,
( spl32_442
<=> sK8 = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_442])]) ).
fof(f2652,plain,
( spl32_443
<=> sK10 = sK11 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_443])]) ).
fof(f2656,plain,
( spl32_444
<=> sK12 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_444])]) ).
fof(f2660,plain,
( spl32_445
<=> sK14 = sK15 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_445])]) ).
fof(f2664,plain,
( spl32_446
<=> sK16 = sK17 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_446])]) ).
fof(f2668,plain,
( spl32_447
<=> sK18 = sK19 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_447])]) ).
fof(f2672,plain,
( spl32_448
<=> sK20 = sK21 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_448])]) ).
fof(f2676,plain,
( spl32_449
<=> sK22 = sK23 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_449])]) ).
fof(f2680,plain,
( spl32_450
<=> sK24 = sK25 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_450])]) ).
fof(f2684,plain,
( spl32_451
<=> sK26 = sK27 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_451])]) ).
fof(f2688,plain,
( spl32_452
<=> sK28 = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_452])]) ).
fof(f2692,plain,
( spl32_453
<=> sK30 = sK31 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_453])]) ).
fof(f324,plain,
( sK30 != sK31
| sK28 != sK29
| sK26 != sK27
| sK24 != sK25
| sK22 != sK23
| sK20 != sK21
| sK18 != sK19
| sK16 != sK17
| sK14 != sK15
| sK12 != sK13
| sK10 != sK11
| sK8 != sK9
| sK6 != sK7
| sK4 != sK5
| sK2 != sK3 ),
inference(cnf_transformation,[],[f3]) ).
fof(f2634,plain,
spl32_438,
inference(avatar_split_clause,[],[f323,f2631]) ).
fof(f2631,plain,
( spl32_438
<=> sK31 = sum(sum(pred(sK28),succ(sK28)),sum(pred(sK29),succ(sK29))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_438])]) ).
fof(f323,plain,
sK31 = sum(sum(pred(sK28),succ(sK28)),sum(pred(sK29),succ(sK29))),
inference(cnf_transformation,[],[f3]) ).
fof(f2629,plain,
spl32_437,
inference(avatar_split_clause,[],[f322,f2626]) ).
fof(f2626,plain,
( spl32_437
<=> sK30 = sum(sum(pred(sK28),succ(sK29)),sum(pred(sK29),succ(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_437])]) ).
fof(f322,plain,
sK30 = sum(sum(pred(sK28),succ(sK29)),sum(pred(sK29),succ(sK28))),
inference(cnf_transformation,[],[f3]) ).
fof(f2624,plain,
spl32_436,
inference(avatar_split_clause,[],[f321,f2621]) ).
fof(f2621,plain,
( spl32_436
<=> sK29 = sum(sum(pred(sK26),succ(sK26)),sum(pred(sK27),succ(sK27))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_436])]) ).
fof(f321,plain,
sK29 = sum(sum(pred(sK26),succ(sK26)),sum(pred(sK27),succ(sK27))),
inference(cnf_transformation,[],[f3]) ).
fof(f2619,plain,
spl32_435,
inference(avatar_split_clause,[],[f320,f2616]) ).
fof(f2616,plain,
( spl32_435
<=> sK28 = sum(sum(pred(sK26),succ(sK27)),sum(pred(sK27),succ(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_435])]) ).
fof(f320,plain,
sK28 = sum(sum(pred(sK26),succ(sK27)),sum(pred(sK27),succ(sK26))),
inference(cnf_transformation,[],[f3]) ).
fof(f2614,plain,
spl32_434,
inference(avatar_split_clause,[],[f319,f2611]) ).
fof(f2611,plain,
( spl32_434
<=> sK27 = sum(sum(pred(sK24),succ(sK24)),sum(pred(sK25),succ(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_434])]) ).
fof(f319,plain,
sK27 = sum(sum(pred(sK24),succ(sK24)),sum(pred(sK25),succ(sK25))),
inference(cnf_transformation,[],[f3]) ).
fof(f2609,plain,
spl32_433,
inference(avatar_split_clause,[],[f318,f2606]) ).
fof(f2606,plain,
( spl32_433
<=> sK26 = sum(sum(pred(sK24),succ(sK25)),sum(pred(sK25),succ(sK24))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_433])]) ).
fof(f318,plain,
sK26 = sum(sum(pred(sK24),succ(sK25)),sum(pred(sK25),succ(sK24))),
inference(cnf_transformation,[],[f3]) ).
fof(f2604,plain,
spl32_432,
inference(avatar_split_clause,[],[f317,f2601]) ).
fof(f2601,plain,
( spl32_432
<=> sK25 = sum(sum(pred(sK22),succ(sK22)),sum(pred(sK23),succ(sK23))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_432])]) ).
fof(f317,plain,
sK25 = sum(sum(pred(sK22),succ(sK22)),sum(pred(sK23),succ(sK23))),
inference(cnf_transformation,[],[f3]) ).
fof(f2599,plain,
spl32_431,
inference(avatar_split_clause,[],[f316,f2596]) ).
fof(f2596,plain,
( spl32_431
<=> sK24 = sum(sum(pred(sK22),succ(sK23)),sum(pred(sK23),succ(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_431])]) ).
fof(f316,plain,
sK24 = sum(sum(pred(sK22),succ(sK23)),sum(pred(sK23),succ(sK22))),
inference(cnf_transformation,[],[f3]) ).
fof(f2594,plain,
spl32_430,
inference(avatar_split_clause,[],[f315,f2591]) ).
fof(f2591,plain,
( spl32_430
<=> sK23 = sum(sum(pred(sK20),succ(sK20)),sum(pred(sK21),succ(sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_430])]) ).
fof(f315,plain,
sK23 = sum(sum(pred(sK20),succ(sK20)),sum(pred(sK21),succ(sK21))),
inference(cnf_transformation,[],[f3]) ).
fof(f2589,plain,
spl32_429,
inference(avatar_split_clause,[],[f314,f2586]) ).
fof(f2586,plain,
( spl32_429
<=> sK22 = sum(sum(pred(sK20),succ(sK21)),sum(pred(sK21),succ(sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_429])]) ).
fof(f314,plain,
sK22 = sum(sum(pred(sK20),succ(sK21)),sum(pred(sK21),succ(sK20))),
inference(cnf_transformation,[],[f3]) ).
fof(f2584,plain,
spl32_428,
inference(avatar_split_clause,[],[f313,f2581]) ).
fof(f2581,plain,
( spl32_428
<=> sK21 = sum(sum(pred(sK18),succ(sK18)),sum(pred(sK19),succ(sK19))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_428])]) ).
fof(f313,plain,
sK21 = sum(sum(pred(sK18),succ(sK18)),sum(pred(sK19),succ(sK19))),
inference(cnf_transformation,[],[f3]) ).
fof(f2579,plain,
spl32_427,
inference(avatar_split_clause,[],[f312,f2576]) ).
fof(f2576,plain,
( spl32_427
<=> sK20 = sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_427])]) ).
fof(f312,plain,
sK20 = sum(sum(pred(sK18),succ(sK19)),sum(pred(sK19),succ(sK18))),
inference(cnf_transformation,[],[f3]) ).
fof(f2574,plain,
spl32_426,
inference(avatar_split_clause,[],[f311,f2571]) ).
fof(f2571,plain,
( spl32_426
<=> sK19 = sum(sum(pred(sK16),succ(sK16)),sum(pred(sK17),succ(sK17))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_426])]) ).
fof(f311,plain,
sK19 = sum(sum(pred(sK16),succ(sK16)),sum(pred(sK17),succ(sK17))),
inference(cnf_transformation,[],[f3]) ).
fof(f2569,plain,
spl32_425,
inference(avatar_split_clause,[],[f310,f2566]) ).
fof(f2566,plain,
( spl32_425
<=> sK18 = sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_425])]) ).
fof(f310,plain,
sK18 = sum(sum(pred(sK16),succ(sK17)),sum(pred(sK17),succ(sK16))),
inference(cnf_transformation,[],[f3]) ).
fof(f2564,plain,
spl32_424,
inference(avatar_split_clause,[],[f309,f2561]) ).
fof(f2561,plain,
( spl32_424
<=> sK17 = sum(sum(pred(sK14),succ(sK14)),sum(pred(sK15),succ(sK15))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_424])]) ).
fof(f309,plain,
sK17 = sum(sum(pred(sK14),succ(sK14)),sum(pred(sK15),succ(sK15))),
inference(cnf_transformation,[],[f3]) ).
fof(f2559,plain,
spl32_423,
inference(avatar_split_clause,[],[f308,f2556]) ).
fof(f2556,plain,
( spl32_423
<=> sK16 = sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_423])]) ).
fof(f308,plain,
sK16 = sum(sum(pred(sK14),succ(sK15)),sum(pred(sK15),succ(sK14))),
inference(cnf_transformation,[],[f3]) ).
fof(f2554,plain,
spl32_422,
inference(avatar_split_clause,[],[f307,f2551]) ).
fof(f2551,plain,
( spl32_422
<=> sK15 = sum(sum(pred(sK12),succ(sK12)),sum(pred(sK13),succ(sK13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_422])]) ).
fof(f307,plain,
sK15 = sum(sum(pred(sK12),succ(sK12)),sum(pred(sK13),succ(sK13))),
inference(cnf_transformation,[],[f3]) ).
fof(f2549,plain,
spl32_421,
inference(avatar_split_clause,[],[f306,f2546]) ).
fof(f2546,plain,
( spl32_421
<=> sK14 = sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_421])]) ).
fof(f306,plain,
sK14 = sum(sum(pred(sK12),succ(sK13)),sum(pred(sK13),succ(sK12))),
inference(cnf_transformation,[],[f3]) ).
fof(f2544,plain,
spl32_420,
inference(avatar_split_clause,[],[f305,f2541]) ).
fof(f2541,plain,
( spl32_420
<=> sK13 = sum(sum(pred(sK10),succ(sK10)),sum(pred(sK11),succ(sK11))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_420])]) ).
fof(f305,plain,
sK13 = sum(sum(pred(sK10),succ(sK10)),sum(pred(sK11),succ(sK11))),
inference(cnf_transformation,[],[f3]) ).
fof(f2539,plain,
spl32_419,
inference(avatar_split_clause,[],[f304,f2536]) ).
fof(f2536,plain,
( spl32_419
<=> sK12 = sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_419])]) ).
fof(f304,plain,
sK12 = sum(sum(pred(sK10),succ(sK11)),sum(pred(sK11),succ(sK10))),
inference(cnf_transformation,[],[f3]) ).
fof(f2534,plain,
spl32_418,
inference(avatar_split_clause,[],[f303,f2531]) ).
fof(f2531,plain,
( spl32_418
<=> sK11 = sum(sum(pred(sK8),succ(sK8)),sum(pred(sK9),succ(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_418])]) ).
fof(f303,plain,
sK11 = sum(sum(pred(sK8),succ(sK8)),sum(pred(sK9),succ(sK9))),
inference(cnf_transformation,[],[f3]) ).
fof(f2529,plain,
spl32_417,
inference(avatar_split_clause,[],[f302,f2526]) ).
fof(f2526,plain,
( spl32_417
<=> sK10 = sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_417])]) ).
fof(f302,plain,
sK10 = sum(sum(pred(sK8),succ(sK9)),sum(pred(sK9),succ(sK8))),
inference(cnf_transformation,[],[f3]) ).
fof(f2524,plain,
spl32_416,
inference(avatar_split_clause,[],[f301,f2521]) ).
fof(f2521,plain,
( spl32_416
<=> sK9 = sum(sum(pred(sK6),succ(sK6)),sum(pred(sK7),succ(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_416])]) ).
fof(f301,plain,
sK9 = sum(sum(pred(sK6),succ(sK6)),sum(pred(sK7),succ(sK7))),
inference(cnf_transformation,[],[f3]) ).
fof(f2519,plain,
spl32_415,
inference(avatar_split_clause,[],[f300,f2516]) ).
fof(f2516,plain,
( spl32_415
<=> sK8 = sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_415])]) ).
fof(f300,plain,
sK8 = sum(sum(pred(sK6),succ(sK7)),sum(pred(sK7),succ(sK6))),
inference(cnf_transformation,[],[f3]) ).
fof(f2514,plain,
spl32_414,
inference(avatar_split_clause,[],[f299,f2511]) ).
fof(f2511,plain,
( spl32_414
<=> sK7 = sum(sum(pred(sK4),succ(sK4)),sum(pred(sK5),succ(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_414])]) ).
fof(f299,plain,
sK7 = sum(sum(pred(sK4),succ(sK4)),sum(pred(sK5),succ(sK5))),
inference(cnf_transformation,[],[f3]) ).
fof(f2509,plain,
spl32_413,
inference(avatar_split_clause,[],[f298,f2506]) ).
fof(f2506,plain,
( spl32_413
<=> sK6 = sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_413])]) ).
fof(f298,plain,
sK6 = sum(sum(pred(sK4),succ(sK5)),sum(pred(sK5),succ(sK4))),
inference(cnf_transformation,[],[f3]) ).
fof(f2504,plain,
spl32_412,
inference(avatar_split_clause,[],[f297,f2501]) ).
fof(f2501,plain,
( spl32_412
<=> sK5 = sum(sum(pred(sK2),succ(sK2)),sum(pred(sK3),succ(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_412])]) ).
fof(f297,plain,
sK5 = sum(sum(pred(sK2),succ(sK2)),sum(pred(sK3),succ(sK3))),
inference(cnf_transformation,[],[f3]) ).
fof(f2499,plain,
spl32_411,
inference(avatar_split_clause,[],[f296,f2496]) ).
fof(f2496,plain,
( spl32_411
<=> sK4 = sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_411])]) ).
fof(f296,plain,
sK4 = sum(sum(pred(sK2),succ(sK3)),sum(pred(sK3),succ(sK2))),
inference(cnf_transformation,[],[f3]) ).
fof(f2494,plain,
spl32_410,
inference(avatar_split_clause,[],[f295,f2491]) ).
fof(f295,plain,
sK3 = sum(sum(pred(sK0),succ(sK0)),sum(pred(sK1),succ(sK1))),
inference(cnf_transformation,[],[f3]) ).
fof(f2489,plain,
spl32_409,
inference(avatar_split_clause,[],[f294,f2486]) ).
fof(f2486,plain,
( spl32_409
<=> sK2 = sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_409])]) ).
fof(f294,plain,
sK2 = sum(sum(pred(sK0),succ(sK1)),sum(pred(sK1),succ(sK0))),
inference(cnf_transformation,[],[f3]) ).
fof(f2484,plain,
spl32_408,
inference(avatar_split_clause,[],[f291,f2481]) ).
fof(f2481,plain,
( spl32_408
<=> n14 = sum(n15,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_408])]) ).
fof(f291,plain,
n14 = sum(n15,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f2479,plain,
spl32_407,
inference(avatar_split_clause,[],[f290,f2476]) ).
fof(f2476,plain,
( spl32_407
<=> n13 = sum(n15,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_407])]) ).
fof(f290,plain,
n13 = sum(n15,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f2474,plain,
spl32_406,
inference(avatar_split_clause,[],[f289,f2471]) ).
fof(f2471,plain,
( spl32_406
<=> n12 = sum(n15,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_406])]) ).
fof(f289,plain,
n12 = sum(n15,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f2469,plain,
spl32_405,
inference(avatar_split_clause,[],[f288,f2466]) ).
fof(f2466,plain,
( spl32_405
<=> n11 = sum(n15,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_405])]) ).
fof(f288,plain,
n11 = sum(n15,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f2464,plain,
spl32_404,
inference(avatar_split_clause,[],[f287,f2461]) ).
fof(f2461,plain,
( spl32_404
<=> n10 = sum(n15,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_404])]) ).
fof(f287,plain,
n10 = sum(n15,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f2459,plain,
spl32_403,
inference(avatar_split_clause,[],[f286,f2456]) ).
fof(f2456,plain,
( spl32_403
<=> n9 = sum(n15,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_403])]) ).
fof(f286,plain,
n9 = sum(n15,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f2454,plain,
spl32_402,
inference(avatar_split_clause,[],[f285,f2451]) ).
fof(f2451,plain,
( spl32_402
<=> n8 = sum(n15,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_402])]) ).
fof(f285,plain,
n8 = sum(n15,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f2449,plain,
spl32_401,
inference(avatar_split_clause,[],[f284,f2446]) ).
fof(f2446,plain,
( spl32_401
<=> n7 = sum(n15,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_401])]) ).
fof(f284,plain,
n7 = sum(n15,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f2444,plain,
spl32_400,
inference(avatar_split_clause,[],[f283,f2441]) ).
fof(f2441,plain,
( spl32_400
<=> n6 = sum(n15,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_400])]) ).
fof(f283,plain,
n6 = sum(n15,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f2439,plain,
spl32_399,
inference(avatar_split_clause,[],[f282,f2436]) ).
fof(f2436,plain,
( spl32_399
<=> n5 = sum(n15,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_399])]) ).
fof(f282,plain,
n5 = sum(n15,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f2434,plain,
spl32_398,
inference(avatar_split_clause,[],[f281,f2431]) ).
fof(f2431,plain,
( spl32_398
<=> n4 = sum(n15,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_398])]) ).
fof(f281,plain,
n4 = sum(n15,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f2429,plain,
spl32_397,
inference(avatar_split_clause,[],[f280,f2426]) ).
fof(f2426,plain,
( spl32_397
<=> n3 = sum(n15,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_397])]) ).
fof(f280,plain,
n3 = sum(n15,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f2424,plain,
spl32_396,
inference(avatar_split_clause,[],[f279,f2421]) ).
fof(f2421,plain,
( spl32_396
<=> n2 = sum(n15,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_396])]) ).
fof(f279,plain,
n2 = sum(n15,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f2419,plain,
spl32_395,
inference(avatar_split_clause,[],[f278,f2416]) ).
fof(f2416,plain,
( spl32_395
<=> n1 = sum(n15,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_395])]) ).
fof(f278,plain,
n1 = sum(n15,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f2414,plain,
spl32_394,
inference(avatar_split_clause,[],[f277,f2411]) ).
fof(f2411,plain,
( spl32_394
<=> n0 = sum(n15,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_394])]) ).
fof(f277,plain,
n0 = sum(n15,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f2409,plain,
spl32_393,
inference(avatar_split_clause,[],[f276,f2406]) ).
fof(f2406,plain,
( spl32_393
<=> n15 = sum(n15,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_393])]) ).
fof(f276,plain,
n15 = sum(n15,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f2404,plain,
spl32_392,
inference(avatar_split_clause,[],[f275,f2401]) ).
fof(f2401,plain,
( spl32_392
<=> n13 = sum(n14,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_392])]) ).
fof(f275,plain,
n13 = sum(n14,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f2399,plain,
spl32_391,
inference(avatar_split_clause,[],[f274,f2396]) ).
fof(f2396,plain,
( spl32_391
<=> n12 = sum(n14,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_391])]) ).
fof(f274,plain,
n12 = sum(n14,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f2394,plain,
spl32_390,
inference(avatar_split_clause,[],[f273,f2391]) ).
fof(f2391,plain,
( spl32_390
<=> n11 = sum(n14,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_390])]) ).
fof(f273,plain,
n11 = sum(n14,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f2389,plain,
spl32_389,
inference(avatar_split_clause,[],[f272,f2386]) ).
fof(f2386,plain,
( spl32_389
<=> n10 = sum(n14,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_389])]) ).
fof(f272,plain,
n10 = sum(n14,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f2384,plain,
spl32_388,
inference(avatar_split_clause,[],[f271,f2381]) ).
fof(f2381,plain,
( spl32_388
<=> n9 = sum(n14,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_388])]) ).
fof(f271,plain,
n9 = sum(n14,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f2379,plain,
spl32_387,
inference(avatar_split_clause,[],[f270,f2376]) ).
fof(f2376,plain,
( spl32_387
<=> n8 = sum(n14,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_387])]) ).
fof(f270,plain,
n8 = sum(n14,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f2374,plain,
spl32_386,
inference(avatar_split_clause,[],[f269,f2371]) ).
fof(f2371,plain,
( spl32_386
<=> n7 = sum(n14,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_386])]) ).
fof(f269,plain,
n7 = sum(n14,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f2369,plain,
spl32_385,
inference(avatar_split_clause,[],[f268,f2366]) ).
fof(f2366,plain,
( spl32_385
<=> n6 = sum(n14,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_385])]) ).
fof(f268,plain,
n6 = sum(n14,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f2364,plain,
spl32_384,
inference(avatar_split_clause,[],[f267,f2361]) ).
fof(f2361,plain,
( spl32_384
<=> n5 = sum(n14,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_384])]) ).
fof(f267,plain,
n5 = sum(n14,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f2359,plain,
spl32_383,
inference(avatar_split_clause,[],[f266,f2356]) ).
fof(f2356,plain,
( spl32_383
<=> n4 = sum(n14,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_383])]) ).
fof(f266,plain,
n4 = sum(n14,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f2354,plain,
spl32_382,
inference(avatar_split_clause,[],[f265,f2351]) ).
fof(f2351,plain,
( spl32_382
<=> n3 = sum(n14,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_382])]) ).
fof(f265,plain,
n3 = sum(n14,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f2349,plain,
spl32_381,
inference(avatar_split_clause,[],[f264,f2346]) ).
fof(f2346,plain,
( spl32_381
<=> n2 = sum(n14,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_381])]) ).
fof(f264,plain,
n2 = sum(n14,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f2344,plain,
spl32_380,
inference(avatar_split_clause,[],[f263,f2341]) ).
fof(f2341,plain,
( spl32_380
<=> n1 = sum(n14,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_380])]) ).
fof(f263,plain,
n1 = sum(n14,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f2339,plain,
spl32_379,
inference(avatar_split_clause,[],[f262,f2336]) ).
fof(f2336,plain,
( spl32_379
<=> n0 = sum(n14,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_379])]) ).
fof(f262,plain,
n0 = sum(n14,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f2334,plain,
spl32_378,
inference(avatar_split_clause,[],[f261,f2331]) ).
fof(f2331,plain,
( spl32_378
<=> n15 = sum(n14,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_378])]) ).
fof(f261,plain,
n15 = sum(n14,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f2329,plain,
spl32_377,
inference(avatar_split_clause,[],[f260,f2326]) ).
fof(f260,plain,
n14 = sum(n14,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f2324,plain,
spl32_376,
inference(avatar_split_clause,[],[f259,f2321]) ).
fof(f2321,plain,
( spl32_376
<=> n12 = sum(n13,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_376])]) ).
fof(f259,plain,
n12 = sum(n13,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f2319,plain,
spl32_375,
inference(avatar_split_clause,[],[f258,f2316]) ).
fof(f2316,plain,
( spl32_375
<=> n11 = sum(n13,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_375])]) ).
fof(f258,plain,
n11 = sum(n13,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f2314,plain,
spl32_374,
inference(avatar_split_clause,[],[f257,f2311]) ).
fof(f2311,plain,
( spl32_374
<=> n10 = sum(n13,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_374])]) ).
fof(f257,plain,
n10 = sum(n13,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f2309,plain,
spl32_373,
inference(avatar_split_clause,[],[f256,f2306]) ).
fof(f2306,plain,
( spl32_373
<=> n9 = sum(n13,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_373])]) ).
fof(f256,plain,
n9 = sum(n13,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f2304,plain,
spl32_372,
inference(avatar_split_clause,[],[f255,f2301]) ).
fof(f2301,plain,
( spl32_372
<=> n8 = sum(n13,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_372])]) ).
fof(f255,plain,
n8 = sum(n13,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f2299,plain,
spl32_371,
inference(avatar_split_clause,[],[f254,f2296]) ).
fof(f2296,plain,
( spl32_371
<=> n7 = sum(n13,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_371])]) ).
fof(f254,plain,
n7 = sum(n13,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f2294,plain,
spl32_370,
inference(avatar_split_clause,[],[f253,f2291]) ).
fof(f2291,plain,
( spl32_370
<=> n6 = sum(n13,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_370])]) ).
fof(f253,plain,
n6 = sum(n13,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f2289,plain,
spl32_369,
inference(avatar_split_clause,[],[f252,f2286]) ).
fof(f2286,plain,
( spl32_369
<=> n5 = sum(n13,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_369])]) ).
fof(f252,plain,
n5 = sum(n13,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f2284,plain,
spl32_368,
inference(avatar_split_clause,[],[f251,f2281]) ).
fof(f2281,plain,
( spl32_368
<=> n4 = sum(n13,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_368])]) ).
fof(f251,plain,
n4 = sum(n13,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f2279,plain,
spl32_367,
inference(avatar_split_clause,[],[f250,f2276]) ).
fof(f2276,plain,
( spl32_367
<=> n3 = sum(n13,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_367])]) ).
fof(f250,plain,
n3 = sum(n13,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f2274,plain,
spl32_366,
inference(avatar_split_clause,[],[f249,f2271]) ).
fof(f2271,plain,
( spl32_366
<=> n2 = sum(n13,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_366])]) ).
fof(f249,plain,
n2 = sum(n13,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f2269,plain,
spl32_365,
inference(avatar_split_clause,[],[f248,f2266]) ).
fof(f2266,plain,
( spl32_365
<=> n1 = sum(n13,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_365])]) ).
fof(f248,plain,
n1 = sum(n13,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f2264,plain,
spl32_364,
inference(avatar_split_clause,[],[f247,f2261]) ).
fof(f2261,plain,
( spl32_364
<=> n0 = sum(n13,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_364])]) ).
fof(f247,plain,
n0 = sum(n13,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f2259,plain,
spl32_363,
inference(avatar_split_clause,[],[f246,f2256]) ).
fof(f2256,plain,
( spl32_363
<=> n15 = sum(n13,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_363])]) ).
fof(f246,plain,
n15 = sum(n13,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f2254,plain,
spl32_362,
inference(avatar_split_clause,[],[f245,f2251]) ).
fof(f2251,plain,
( spl32_362
<=> n14 = sum(n13,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_362])]) ).
fof(f245,plain,
n14 = sum(n13,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f2249,plain,
spl32_361,
inference(avatar_split_clause,[],[f244,f2246]) ).
fof(f2246,plain,
( spl32_361
<=> n13 = sum(n13,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_361])]) ).
fof(f244,plain,
n13 = sum(n13,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f2244,plain,
spl32_360,
inference(avatar_split_clause,[],[f243,f2241]) ).
fof(f2241,plain,
( spl32_360
<=> n11 = sum(n12,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_360])]) ).
fof(f243,plain,
n11 = sum(n12,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f2239,plain,
spl32_359,
inference(avatar_split_clause,[],[f242,f2236]) ).
fof(f2236,plain,
( spl32_359
<=> n10 = sum(n12,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_359])]) ).
fof(f242,plain,
n10 = sum(n12,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f2234,plain,
spl32_358,
inference(avatar_split_clause,[],[f241,f2231]) ).
fof(f2231,plain,
( spl32_358
<=> n9 = sum(n12,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_358])]) ).
fof(f241,plain,
n9 = sum(n12,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f2229,plain,
spl32_357,
inference(avatar_split_clause,[],[f240,f2226]) ).
fof(f2226,plain,
( spl32_357
<=> n8 = sum(n12,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_357])]) ).
fof(f240,plain,
n8 = sum(n12,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f2224,plain,
spl32_356,
inference(avatar_split_clause,[],[f239,f2221]) ).
fof(f2221,plain,
( spl32_356
<=> n7 = sum(n12,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_356])]) ).
fof(f239,plain,
n7 = sum(n12,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f2219,plain,
spl32_355,
inference(avatar_split_clause,[],[f238,f2216]) ).
fof(f2216,plain,
( spl32_355
<=> n6 = sum(n12,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_355])]) ).
fof(f238,plain,
n6 = sum(n12,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f2214,plain,
spl32_354,
inference(avatar_split_clause,[],[f237,f2211]) ).
fof(f2211,plain,
( spl32_354
<=> n5 = sum(n12,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_354])]) ).
fof(f237,plain,
n5 = sum(n12,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f2209,plain,
spl32_353,
inference(avatar_split_clause,[],[f236,f2206]) ).
fof(f2206,plain,
( spl32_353
<=> n4 = sum(n12,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_353])]) ).
fof(f236,plain,
n4 = sum(n12,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f2204,plain,
spl32_352,
inference(avatar_split_clause,[],[f235,f2201]) ).
fof(f2201,plain,
( spl32_352
<=> n3 = sum(n12,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_352])]) ).
fof(f235,plain,
n3 = sum(n12,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f2199,plain,
spl32_351,
inference(avatar_split_clause,[],[f234,f2196]) ).
fof(f2196,plain,
( spl32_351
<=> n2 = sum(n12,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_351])]) ).
fof(f234,plain,
n2 = sum(n12,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f2194,plain,
spl32_350,
inference(avatar_split_clause,[],[f233,f2191]) ).
fof(f2191,plain,
( spl32_350
<=> n1 = sum(n12,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_350])]) ).
fof(f233,plain,
n1 = sum(n12,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f2189,plain,
spl32_349,
inference(avatar_split_clause,[],[f232,f2186]) ).
fof(f2186,plain,
( spl32_349
<=> n0 = sum(n12,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_349])]) ).
fof(f232,plain,
n0 = sum(n12,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f2184,plain,
spl32_348,
inference(avatar_split_clause,[],[f231,f2181]) ).
fof(f2181,plain,
( spl32_348
<=> n15 = sum(n12,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_348])]) ).
fof(f231,plain,
n15 = sum(n12,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f2179,plain,
spl32_347,
inference(avatar_split_clause,[],[f230,f2176]) ).
fof(f2176,plain,
( spl32_347
<=> n14 = sum(n12,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_347])]) ).
fof(f230,plain,
n14 = sum(n12,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f2174,plain,
spl32_346,
inference(avatar_split_clause,[],[f229,f2171]) ).
fof(f2171,plain,
( spl32_346
<=> n13 = sum(n12,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_346])]) ).
fof(f229,plain,
n13 = sum(n12,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f2169,plain,
spl32_345,
inference(avatar_split_clause,[],[f228,f2166]) ).
fof(f2166,plain,
( spl32_345
<=> n12 = sum(n12,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_345])]) ).
fof(f228,plain,
n12 = sum(n12,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f2164,plain,
spl32_344,
inference(avatar_split_clause,[],[f227,f2161]) ).
fof(f2161,plain,
( spl32_344
<=> n10 = sum(n11,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_344])]) ).
fof(f227,plain,
n10 = sum(n11,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f2159,plain,
spl32_343,
inference(avatar_split_clause,[],[f226,f2156]) ).
fof(f2156,plain,
( spl32_343
<=> n9 = sum(n11,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_343])]) ).
fof(f226,plain,
n9 = sum(n11,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f2154,plain,
spl32_342,
inference(avatar_split_clause,[],[f225,f2151]) ).
fof(f2151,plain,
( spl32_342
<=> n8 = sum(n11,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_342])]) ).
fof(f225,plain,
n8 = sum(n11,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f2149,plain,
spl32_341,
inference(avatar_split_clause,[],[f224,f2146]) ).
fof(f2146,plain,
( spl32_341
<=> n7 = sum(n11,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_341])]) ).
fof(f224,plain,
n7 = sum(n11,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f2144,plain,
spl32_340,
inference(avatar_split_clause,[],[f223,f2141]) ).
fof(f2141,plain,
( spl32_340
<=> n6 = sum(n11,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_340])]) ).
fof(f223,plain,
n6 = sum(n11,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f2139,plain,
spl32_339,
inference(avatar_split_clause,[],[f222,f2136]) ).
fof(f2136,plain,
( spl32_339
<=> n5 = sum(n11,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_339])]) ).
fof(f222,plain,
n5 = sum(n11,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f2134,plain,
spl32_338,
inference(avatar_split_clause,[],[f221,f2131]) ).
fof(f2131,plain,
( spl32_338
<=> n4 = sum(n11,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_338])]) ).
fof(f221,plain,
n4 = sum(n11,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f2129,plain,
spl32_337,
inference(avatar_split_clause,[],[f220,f2126]) ).
fof(f2126,plain,
( spl32_337
<=> n3 = sum(n11,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_337])]) ).
fof(f220,plain,
n3 = sum(n11,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f2124,plain,
spl32_336,
inference(avatar_split_clause,[],[f219,f2121]) ).
fof(f2121,plain,
( spl32_336
<=> n2 = sum(n11,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_336])]) ).
fof(f219,plain,
n2 = sum(n11,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f2119,plain,
spl32_335,
inference(avatar_split_clause,[],[f218,f2116]) ).
fof(f2116,plain,
( spl32_335
<=> n1 = sum(n11,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_335])]) ).
fof(f218,plain,
n1 = sum(n11,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f2114,plain,
spl32_334,
inference(avatar_split_clause,[],[f217,f2111]) ).
fof(f2111,plain,
( spl32_334
<=> n0 = sum(n11,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_334])]) ).
fof(f217,plain,
n0 = sum(n11,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f2109,plain,
spl32_333,
inference(avatar_split_clause,[],[f216,f2106]) ).
fof(f2106,plain,
( spl32_333
<=> n15 = sum(n11,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_333])]) ).
fof(f216,plain,
n15 = sum(n11,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f2104,plain,
spl32_332,
inference(avatar_split_clause,[],[f215,f2101]) ).
fof(f2101,plain,
( spl32_332
<=> n14 = sum(n11,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_332])]) ).
fof(f215,plain,
n14 = sum(n11,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f2099,plain,
spl32_331,
inference(avatar_split_clause,[],[f214,f2096]) ).
fof(f2096,plain,
( spl32_331
<=> n13 = sum(n11,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_331])]) ).
fof(f214,plain,
n13 = sum(n11,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f2094,plain,
spl32_330,
inference(avatar_split_clause,[],[f213,f2091]) ).
fof(f2091,plain,
( spl32_330
<=> n12 = sum(n11,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_330])]) ).
fof(f213,plain,
n12 = sum(n11,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f2089,plain,
spl32_329,
inference(avatar_split_clause,[],[f212,f2086]) ).
fof(f2086,plain,
( spl32_329
<=> n11 = sum(n11,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_329])]) ).
fof(f212,plain,
n11 = sum(n11,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f2084,plain,
spl32_328,
inference(avatar_split_clause,[],[f211,f2081]) ).
fof(f2081,plain,
( spl32_328
<=> n9 = sum(n10,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_328])]) ).
fof(f211,plain,
n9 = sum(n10,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f2079,plain,
spl32_327,
inference(avatar_split_clause,[],[f210,f2076]) ).
fof(f2076,plain,
( spl32_327
<=> n8 = sum(n10,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_327])]) ).
fof(f210,plain,
n8 = sum(n10,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f2074,plain,
spl32_326,
inference(avatar_split_clause,[],[f209,f2071]) ).
fof(f2071,plain,
( spl32_326
<=> n7 = sum(n10,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_326])]) ).
fof(f209,plain,
n7 = sum(n10,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f2069,plain,
spl32_325,
inference(avatar_split_clause,[],[f208,f2066]) ).
fof(f2066,plain,
( spl32_325
<=> n6 = sum(n10,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_325])]) ).
fof(f208,plain,
n6 = sum(n10,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f2064,plain,
spl32_324,
inference(avatar_split_clause,[],[f207,f2061]) ).
fof(f2061,plain,
( spl32_324
<=> n5 = sum(n10,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_324])]) ).
fof(f207,plain,
n5 = sum(n10,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f2059,plain,
spl32_323,
inference(avatar_split_clause,[],[f206,f2056]) ).
fof(f2056,plain,
( spl32_323
<=> n4 = sum(n10,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_323])]) ).
fof(f206,plain,
n4 = sum(n10,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f2054,plain,
spl32_322,
inference(avatar_split_clause,[],[f205,f2051]) ).
fof(f2051,plain,
( spl32_322
<=> n3 = sum(n10,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_322])]) ).
fof(f205,plain,
n3 = sum(n10,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f2049,plain,
spl32_321,
inference(avatar_split_clause,[],[f204,f2046]) ).
fof(f2046,plain,
( spl32_321
<=> n2 = sum(n10,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_321])]) ).
fof(f204,plain,
n2 = sum(n10,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f2044,plain,
spl32_320,
inference(avatar_split_clause,[],[f203,f2041]) ).
fof(f2041,plain,
( spl32_320
<=> n1 = sum(n10,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_320])]) ).
fof(f203,plain,
n1 = sum(n10,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f2039,plain,
spl32_319,
inference(avatar_split_clause,[],[f202,f2036]) ).
fof(f2036,plain,
( spl32_319
<=> n0 = sum(n10,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_319])]) ).
fof(f202,plain,
n0 = sum(n10,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f2034,plain,
spl32_318,
inference(avatar_split_clause,[],[f201,f2031]) ).
fof(f2031,plain,
( spl32_318
<=> n15 = sum(n10,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_318])]) ).
fof(f201,plain,
n15 = sum(n10,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f2029,plain,
spl32_317,
inference(avatar_split_clause,[],[f200,f2026]) ).
fof(f2026,plain,
( spl32_317
<=> n14 = sum(n10,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_317])]) ).
fof(f200,plain,
n14 = sum(n10,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f2024,plain,
spl32_316,
inference(avatar_split_clause,[],[f199,f2021]) ).
fof(f2021,plain,
( spl32_316
<=> n13 = sum(n10,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_316])]) ).
fof(f199,plain,
n13 = sum(n10,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f2019,plain,
spl32_315,
inference(avatar_split_clause,[],[f198,f2016]) ).
fof(f2016,plain,
( spl32_315
<=> n12 = sum(n10,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_315])]) ).
fof(f198,plain,
n12 = sum(n10,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f2014,plain,
spl32_314,
inference(avatar_split_clause,[],[f197,f2011]) ).
fof(f2011,plain,
( spl32_314
<=> n11 = sum(n10,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_314])]) ).
fof(f197,plain,
n11 = sum(n10,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f2009,plain,
spl32_313,
inference(avatar_split_clause,[],[f196,f2006]) ).
fof(f2006,plain,
( spl32_313
<=> n10 = sum(n10,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_313])]) ).
fof(f196,plain,
n10 = sum(n10,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f2004,plain,
spl32_312,
inference(avatar_split_clause,[],[f195,f2001]) ).
fof(f2001,plain,
( spl32_312
<=> n8 = sum(n9,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_312])]) ).
fof(f195,plain,
n8 = sum(n9,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f1999,plain,
spl32_311,
inference(avatar_split_clause,[],[f194,f1996]) ).
fof(f1996,plain,
( spl32_311
<=> n7 = sum(n9,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_311])]) ).
fof(f194,plain,
n7 = sum(n9,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f1994,plain,
spl32_310,
inference(avatar_split_clause,[],[f193,f1991]) ).
fof(f1991,plain,
( spl32_310
<=> n6 = sum(n9,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_310])]) ).
fof(f193,plain,
n6 = sum(n9,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f1989,plain,
spl32_309,
inference(avatar_split_clause,[],[f192,f1986]) ).
fof(f1986,plain,
( spl32_309
<=> n5 = sum(n9,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_309])]) ).
fof(f192,plain,
n5 = sum(n9,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f1984,plain,
spl32_308,
inference(avatar_split_clause,[],[f191,f1981]) ).
fof(f1981,plain,
( spl32_308
<=> n4 = sum(n9,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_308])]) ).
fof(f191,plain,
n4 = sum(n9,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f1979,plain,
spl32_307,
inference(avatar_split_clause,[],[f190,f1976]) ).
fof(f1976,plain,
( spl32_307
<=> n3 = sum(n9,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_307])]) ).
fof(f190,plain,
n3 = sum(n9,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f1974,plain,
spl32_306,
inference(avatar_split_clause,[],[f189,f1971]) ).
fof(f1971,plain,
( spl32_306
<=> n2 = sum(n9,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_306])]) ).
fof(f189,plain,
n2 = sum(n9,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f1969,plain,
spl32_305,
inference(avatar_split_clause,[],[f188,f1966]) ).
fof(f1966,plain,
( spl32_305
<=> n1 = sum(n9,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_305])]) ).
fof(f188,plain,
n1 = sum(n9,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f1964,plain,
spl32_304,
inference(avatar_split_clause,[],[f187,f1961]) ).
fof(f1961,plain,
( spl32_304
<=> n0 = sum(n9,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_304])]) ).
fof(f187,plain,
n0 = sum(n9,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f1959,plain,
spl32_303,
inference(avatar_split_clause,[],[f186,f1956]) ).
fof(f1956,plain,
( spl32_303
<=> n15 = sum(n9,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_303])]) ).
fof(f186,plain,
n15 = sum(n9,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f1954,plain,
spl32_302,
inference(avatar_split_clause,[],[f185,f1951]) ).
fof(f1951,plain,
( spl32_302
<=> n14 = sum(n9,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_302])]) ).
fof(f185,plain,
n14 = sum(n9,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f1949,plain,
spl32_301,
inference(avatar_split_clause,[],[f184,f1946]) ).
fof(f1946,plain,
( spl32_301
<=> n13 = sum(n9,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_301])]) ).
fof(f184,plain,
n13 = sum(n9,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f1944,plain,
spl32_300,
inference(avatar_split_clause,[],[f183,f1941]) ).
fof(f1941,plain,
( spl32_300
<=> n12 = sum(n9,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_300])]) ).
fof(f183,plain,
n12 = sum(n9,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f1939,plain,
spl32_299,
inference(avatar_split_clause,[],[f182,f1936]) ).
fof(f1936,plain,
( spl32_299
<=> n11 = sum(n9,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_299])]) ).
fof(f182,plain,
n11 = sum(n9,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f1934,plain,
spl32_298,
inference(avatar_split_clause,[],[f181,f1931]) ).
fof(f1931,plain,
( spl32_298
<=> n10 = sum(n9,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_298])]) ).
fof(f181,plain,
n10 = sum(n9,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f1929,plain,
spl32_297,
inference(avatar_split_clause,[],[f180,f1926]) ).
fof(f1926,plain,
( spl32_297
<=> n9 = sum(n9,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_297])]) ).
fof(f180,plain,
n9 = sum(n9,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f1924,plain,
spl32_296,
inference(avatar_split_clause,[],[f179,f1921]) ).
fof(f1921,plain,
( spl32_296
<=> n7 = sum(n8,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_296])]) ).
fof(f179,plain,
n7 = sum(n8,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f1919,plain,
spl32_295,
inference(avatar_split_clause,[],[f178,f1916]) ).
fof(f1916,plain,
( spl32_295
<=> n6 = sum(n8,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_295])]) ).
fof(f178,plain,
n6 = sum(n8,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f1914,plain,
spl32_294,
inference(avatar_split_clause,[],[f177,f1911]) ).
fof(f1911,plain,
( spl32_294
<=> n5 = sum(n8,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_294])]) ).
fof(f177,plain,
n5 = sum(n8,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f1909,plain,
spl32_293,
inference(avatar_split_clause,[],[f176,f1906]) ).
fof(f1906,plain,
( spl32_293
<=> n4 = sum(n8,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_293])]) ).
fof(f176,plain,
n4 = sum(n8,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f1904,plain,
spl32_292,
inference(avatar_split_clause,[],[f175,f1901]) ).
fof(f1901,plain,
( spl32_292
<=> n3 = sum(n8,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_292])]) ).
fof(f175,plain,
n3 = sum(n8,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f1899,plain,
spl32_291,
inference(avatar_split_clause,[],[f174,f1896]) ).
fof(f1896,plain,
( spl32_291
<=> n2 = sum(n8,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_291])]) ).
fof(f174,plain,
n2 = sum(n8,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f1894,plain,
spl32_290,
inference(avatar_split_clause,[],[f173,f1891]) ).
fof(f1891,plain,
( spl32_290
<=> n1 = sum(n8,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_290])]) ).
fof(f173,plain,
n1 = sum(n8,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f1889,plain,
spl32_289,
inference(avatar_split_clause,[],[f172,f1886]) ).
fof(f1886,plain,
( spl32_289
<=> n0 = sum(n8,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_289])]) ).
fof(f172,plain,
n0 = sum(n8,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f1884,plain,
spl32_288,
inference(avatar_split_clause,[],[f171,f1881]) ).
fof(f1881,plain,
( spl32_288
<=> n15 = sum(n8,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_288])]) ).
fof(f171,plain,
n15 = sum(n8,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f1879,plain,
spl32_287,
inference(avatar_split_clause,[],[f170,f1876]) ).
fof(f1876,plain,
( spl32_287
<=> n14 = sum(n8,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_287])]) ).
fof(f170,plain,
n14 = sum(n8,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f1874,plain,
spl32_286,
inference(avatar_split_clause,[],[f169,f1871]) ).
fof(f1871,plain,
( spl32_286
<=> n13 = sum(n8,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_286])]) ).
fof(f169,plain,
n13 = sum(n8,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f1869,plain,
spl32_285,
inference(avatar_split_clause,[],[f168,f1866]) ).
fof(f1866,plain,
( spl32_285
<=> n12 = sum(n8,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_285])]) ).
fof(f168,plain,
n12 = sum(n8,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f1864,plain,
spl32_284,
inference(avatar_split_clause,[],[f167,f1861]) ).
fof(f1861,plain,
( spl32_284
<=> n11 = sum(n8,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_284])]) ).
fof(f167,plain,
n11 = sum(n8,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f1859,plain,
spl32_283,
inference(avatar_split_clause,[],[f166,f1856]) ).
fof(f1856,plain,
( spl32_283
<=> n10 = sum(n8,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_283])]) ).
fof(f166,plain,
n10 = sum(n8,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f1854,plain,
spl32_282,
inference(avatar_split_clause,[],[f165,f1851]) ).
fof(f1851,plain,
( spl32_282
<=> n9 = sum(n8,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_282])]) ).
fof(f165,plain,
n9 = sum(n8,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f1849,plain,
spl32_281,
inference(avatar_split_clause,[],[f164,f1846]) ).
fof(f1846,plain,
( spl32_281
<=> n8 = sum(n8,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_281])]) ).
fof(f164,plain,
n8 = sum(n8,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f1844,plain,
spl32_280,
inference(avatar_split_clause,[],[f163,f1841]) ).
fof(f1841,plain,
( spl32_280
<=> n6 = sum(n7,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_280])]) ).
fof(f163,plain,
n6 = sum(n7,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f1839,plain,
spl32_279,
inference(avatar_split_clause,[],[f162,f1836]) ).
fof(f1836,plain,
( spl32_279
<=> n5 = sum(n7,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_279])]) ).
fof(f162,plain,
n5 = sum(n7,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f1834,plain,
spl32_278,
inference(avatar_split_clause,[],[f161,f1831]) ).
fof(f1831,plain,
( spl32_278
<=> n4 = sum(n7,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_278])]) ).
fof(f161,plain,
n4 = sum(n7,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f1829,plain,
spl32_277,
inference(avatar_split_clause,[],[f160,f1826]) ).
fof(f1826,plain,
( spl32_277
<=> n3 = sum(n7,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_277])]) ).
fof(f160,plain,
n3 = sum(n7,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f1824,plain,
spl32_276,
inference(avatar_split_clause,[],[f159,f1821]) ).
fof(f1821,plain,
( spl32_276
<=> n2 = sum(n7,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_276])]) ).
fof(f159,plain,
n2 = sum(n7,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f1819,plain,
spl32_275,
inference(avatar_split_clause,[],[f158,f1816]) ).
fof(f1816,plain,
( spl32_275
<=> n1 = sum(n7,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_275])]) ).
fof(f158,plain,
n1 = sum(n7,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f1814,plain,
spl32_274,
inference(avatar_split_clause,[],[f157,f1811]) ).
fof(f1811,plain,
( spl32_274
<=> n0 = sum(n7,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_274])]) ).
fof(f157,plain,
n0 = sum(n7,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f1809,plain,
spl32_273,
inference(avatar_split_clause,[],[f156,f1806]) ).
fof(f1806,plain,
( spl32_273
<=> n15 = sum(n7,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_273])]) ).
fof(f156,plain,
n15 = sum(n7,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f1804,plain,
spl32_272,
inference(avatar_split_clause,[],[f155,f1801]) ).
fof(f1801,plain,
( spl32_272
<=> n14 = sum(n7,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_272])]) ).
fof(f155,plain,
n14 = sum(n7,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f1799,plain,
spl32_271,
inference(avatar_split_clause,[],[f154,f1796]) ).
fof(f1796,plain,
( spl32_271
<=> n13 = sum(n7,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_271])]) ).
fof(f154,plain,
n13 = sum(n7,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f1794,plain,
spl32_270,
inference(avatar_split_clause,[],[f153,f1791]) ).
fof(f1791,plain,
( spl32_270
<=> n12 = sum(n7,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_270])]) ).
fof(f153,plain,
n12 = sum(n7,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f1789,plain,
spl32_269,
inference(avatar_split_clause,[],[f152,f1786]) ).
fof(f1786,plain,
( spl32_269
<=> n11 = sum(n7,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_269])]) ).
fof(f152,plain,
n11 = sum(n7,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f1784,plain,
spl32_268,
inference(avatar_split_clause,[],[f151,f1781]) ).
fof(f1781,plain,
( spl32_268
<=> n10 = sum(n7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_268])]) ).
fof(f151,plain,
n10 = sum(n7,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f1779,plain,
spl32_267,
inference(avatar_split_clause,[],[f150,f1776]) ).
fof(f1776,plain,
( spl32_267
<=> n9 = sum(n7,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_267])]) ).
fof(f150,plain,
n9 = sum(n7,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f1774,plain,
spl32_266,
inference(avatar_split_clause,[],[f149,f1771]) ).
fof(f1771,plain,
( spl32_266
<=> n8 = sum(n7,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_266])]) ).
fof(f149,plain,
n8 = sum(n7,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f1769,plain,
spl32_265,
inference(avatar_split_clause,[],[f148,f1766]) ).
fof(f1766,plain,
( spl32_265
<=> n7 = sum(n7,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_265])]) ).
fof(f148,plain,
n7 = sum(n7,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f1764,plain,
spl32_264,
inference(avatar_split_clause,[],[f147,f1761]) ).
fof(f1761,plain,
( spl32_264
<=> n5 = sum(n6,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_264])]) ).
fof(f147,plain,
n5 = sum(n6,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f1759,plain,
spl32_263,
inference(avatar_split_clause,[],[f146,f1756]) ).
fof(f1756,plain,
( spl32_263
<=> n4 = sum(n6,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_263])]) ).
fof(f146,plain,
n4 = sum(n6,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f1754,plain,
spl32_262,
inference(avatar_split_clause,[],[f145,f1751]) ).
fof(f1751,plain,
( spl32_262
<=> n3 = sum(n6,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_262])]) ).
fof(f145,plain,
n3 = sum(n6,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f1749,plain,
spl32_261,
inference(avatar_split_clause,[],[f144,f1746]) ).
fof(f1746,plain,
( spl32_261
<=> n2 = sum(n6,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_261])]) ).
fof(f144,plain,
n2 = sum(n6,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f1744,plain,
spl32_260,
inference(avatar_split_clause,[],[f143,f1741]) ).
fof(f1741,plain,
( spl32_260
<=> n1 = sum(n6,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_260])]) ).
fof(f143,plain,
n1 = sum(n6,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f1739,plain,
spl32_259,
inference(avatar_split_clause,[],[f142,f1736]) ).
fof(f1736,plain,
( spl32_259
<=> n0 = sum(n6,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_259])]) ).
fof(f142,plain,
n0 = sum(n6,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f1734,plain,
spl32_258,
inference(avatar_split_clause,[],[f141,f1731]) ).
fof(f1731,plain,
( spl32_258
<=> n15 = sum(n6,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_258])]) ).
fof(f141,plain,
n15 = sum(n6,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f1729,plain,
spl32_257,
inference(avatar_split_clause,[],[f140,f1726]) ).
fof(f1726,plain,
( spl32_257
<=> n14 = sum(n6,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_257])]) ).
fof(f140,plain,
n14 = sum(n6,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f1724,plain,
spl32_256,
inference(avatar_split_clause,[],[f139,f1721]) ).
fof(f1721,plain,
( spl32_256
<=> n13 = sum(n6,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_256])]) ).
fof(f139,plain,
n13 = sum(n6,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f1719,plain,
spl32_255,
inference(avatar_split_clause,[],[f138,f1716]) ).
fof(f1716,plain,
( spl32_255
<=> n12 = sum(n6,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_255])]) ).
fof(f138,plain,
n12 = sum(n6,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f1714,plain,
spl32_254,
inference(avatar_split_clause,[],[f137,f1711]) ).
fof(f1711,plain,
( spl32_254
<=> n11 = sum(n6,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_254])]) ).
fof(f137,plain,
n11 = sum(n6,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f1709,plain,
spl32_253,
inference(avatar_split_clause,[],[f136,f1706]) ).
fof(f1706,plain,
( spl32_253
<=> n10 = sum(n6,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_253])]) ).
fof(f136,plain,
n10 = sum(n6,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f1704,plain,
spl32_252,
inference(avatar_split_clause,[],[f135,f1701]) ).
fof(f1701,plain,
( spl32_252
<=> n9 = sum(n6,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_252])]) ).
fof(f135,plain,
n9 = sum(n6,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f1699,plain,
spl32_251,
inference(avatar_split_clause,[],[f134,f1696]) ).
fof(f1696,plain,
( spl32_251
<=> n8 = sum(n6,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_251])]) ).
fof(f134,plain,
n8 = sum(n6,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f1694,plain,
spl32_250,
inference(avatar_split_clause,[],[f133,f1691]) ).
fof(f1691,plain,
( spl32_250
<=> n7 = sum(n6,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_250])]) ).
fof(f133,plain,
n7 = sum(n6,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f1689,plain,
spl32_249,
inference(avatar_split_clause,[],[f132,f1686]) ).
fof(f1686,plain,
( spl32_249
<=> n6 = sum(n6,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_249])]) ).
fof(f132,plain,
n6 = sum(n6,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f1684,plain,
spl32_248,
inference(avatar_split_clause,[],[f131,f1681]) ).
fof(f1681,plain,
( spl32_248
<=> n4 = sum(n5,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_248])]) ).
fof(f131,plain,
n4 = sum(n5,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f1679,plain,
spl32_247,
inference(avatar_split_clause,[],[f130,f1676]) ).
fof(f1676,plain,
( spl32_247
<=> n3 = sum(n5,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_247])]) ).
fof(f130,plain,
n3 = sum(n5,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f1674,plain,
spl32_246,
inference(avatar_split_clause,[],[f129,f1671]) ).
fof(f1671,plain,
( spl32_246
<=> n2 = sum(n5,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_246])]) ).
fof(f129,plain,
n2 = sum(n5,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f1669,plain,
spl32_245,
inference(avatar_split_clause,[],[f128,f1666]) ).
fof(f1666,plain,
( spl32_245
<=> n1 = sum(n5,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_245])]) ).
fof(f128,plain,
n1 = sum(n5,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f1664,plain,
spl32_244,
inference(avatar_split_clause,[],[f127,f1661]) ).
fof(f1661,plain,
( spl32_244
<=> n0 = sum(n5,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_244])]) ).
fof(f127,plain,
n0 = sum(n5,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f1659,plain,
spl32_243,
inference(avatar_split_clause,[],[f126,f1656]) ).
fof(f1656,plain,
( spl32_243
<=> n15 = sum(n5,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_243])]) ).
fof(f126,plain,
n15 = sum(n5,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f1654,plain,
spl32_242,
inference(avatar_split_clause,[],[f125,f1651]) ).
fof(f1651,plain,
( spl32_242
<=> n14 = sum(n5,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_242])]) ).
fof(f125,plain,
n14 = sum(n5,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f1649,plain,
spl32_241,
inference(avatar_split_clause,[],[f124,f1646]) ).
fof(f1646,plain,
( spl32_241
<=> n13 = sum(n5,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_241])]) ).
fof(f124,plain,
n13 = sum(n5,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f1644,plain,
spl32_240,
inference(avatar_split_clause,[],[f123,f1641]) ).
fof(f1641,plain,
( spl32_240
<=> n12 = sum(n5,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_240])]) ).
fof(f123,plain,
n12 = sum(n5,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f1639,plain,
spl32_239,
inference(avatar_split_clause,[],[f122,f1636]) ).
fof(f1636,plain,
( spl32_239
<=> n11 = sum(n5,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_239])]) ).
fof(f122,plain,
n11 = sum(n5,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f1634,plain,
spl32_238,
inference(avatar_split_clause,[],[f121,f1631]) ).
fof(f1631,plain,
( spl32_238
<=> n10 = sum(n5,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_238])]) ).
fof(f121,plain,
n10 = sum(n5,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f1629,plain,
spl32_237,
inference(avatar_split_clause,[],[f120,f1626]) ).
fof(f1626,plain,
( spl32_237
<=> n9 = sum(n5,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_237])]) ).
fof(f120,plain,
n9 = sum(n5,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f1624,plain,
spl32_236,
inference(avatar_split_clause,[],[f119,f1621]) ).
fof(f1621,plain,
( spl32_236
<=> n8 = sum(n5,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_236])]) ).
fof(f119,plain,
n8 = sum(n5,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f1619,plain,
spl32_235,
inference(avatar_split_clause,[],[f118,f1616]) ).
fof(f1616,plain,
( spl32_235
<=> n7 = sum(n5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_235])]) ).
fof(f118,plain,
n7 = sum(n5,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f1614,plain,
spl32_234,
inference(avatar_split_clause,[],[f117,f1611]) ).
fof(f1611,plain,
( spl32_234
<=> n6 = sum(n5,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_234])]) ).
fof(f117,plain,
n6 = sum(n5,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f1609,plain,
spl32_233,
inference(avatar_split_clause,[],[f116,f1606]) ).
fof(f1606,plain,
( spl32_233
<=> n5 = sum(n5,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_233])]) ).
fof(f116,plain,
n5 = sum(n5,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f1604,plain,
spl32_232,
inference(avatar_split_clause,[],[f115,f1601]) ).
fof(f1601,plain,
( spl32_232
<=> n3 = sum(n4,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_232])]) ).
fof(f115,plain,
n3 = sum(n4,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f1599,plain,
spl32_231,
inference(avatar_split_clause,[],[f114,f1596]) ).
fof(f1596,plain,
( spl32_231
<=> n2 = sum(n4,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_231])]) ).
fof(f114,plain,
n2 = sum(n4,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f1594,plain,
spl32_230,
inference(avatar_split_clause,[],[f113,f1591]) ).
fof(f1591,plain,
( spl32_230
<=> n1 = sum(n4,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_230])]) ).
fof(f113,plain,
n1 = sum(n4,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f1589,plain,
spl32_229,
inference(avatar_split_clause,[],[f112,f1586]) ).
fof(f1586,plain,
( spl32_229
<=> n0 = sum(n4,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_229])]) ).
fof(f112,plain,
n0 = sum(n4,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f1584,plain,
spl32_228,
inference(avatar_split_clause,[],[f111,f1581]) ).
fof(f1581,plain,
( spl32_228
<=> n15 = sum(n4,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_228])]) ).
fof(f111,plain,
n15 = sum(n4,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f1579,plain,
spl32_227,
inference(avatar_split_clause,[],[f110,f1576]) ).
fof(f1576,plain,
( spl32_227
<=> n14 = sum(n4,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_227])]) ).
fof(f110,plain,
n14 = sum(n4,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f1574,plain,
spl32_226,
inference(avatar_split_clause,[],[f109,f1571]) ).
fof(f1571,plain,
( spl32_226
<=> n13 = sum(n4,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_226])]) ).
fof(f109,plain,
n13 = sum(n4,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f1569,plain,
spl32_225,
inference(avatar_split_clause,[],[f108,f1566]) ).
fof(f1566,plain,
( spl32_225
<=> n12 = sum(n4,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_225])]) ).
fof(f108,plain,
n12 = sum(n4,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f1564,plain,
spl32_224,
inference(avatar_split_clause,[],[f107,f1561]) ).
fof(f1561,plain,
( spl32_224
<=> n11 = sum(n4,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_224])]) ).
fof(f107,plain,
n11 = sum(n4,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f1559,plain,
spl32_223,
inference(avatar_split_clause,[],[f106,f1556]) ).
fof(f1556,plain,
( spl32_223
<=> n10 = sum(n4,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_223])]) ).
fof(f106,plain,
n10 = sum(n4,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f1554,plain,
spl32_222,
inference(avatar_split_clause,[],[f105,f1551]) ).
fof(f1551,plain,
( spl32_222
<=> n9 = sum(n4,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_222])]) ).
fof(f105,plain,
n9 = sum(n4,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f1549,plain,
spl32_221,
inference(avatar_split_clause,[],[f104,f1546]) ).
fof(f1546,plain,
( spl32_221
<=> n8 = sum(n4,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_221])]) ).
fof(f104,plain,
n8 = sum(n4,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f1544,plain,
spl32_220,
inference(avatar_split_clause,[],[f103,f1541]) ).
fof(f1541,plain,
( spl32_220
<=> n7 = sum(n4,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_220])]) ).
fof(f103,plain,
n7 = sum(n4,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f1539,plain,
spl32_219,
inference(avatar_split_clause,[],[f102,f1536]) ).
fof(f1536,plain,
( spl32_219
<=> n6 = sum(n4,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_219])]) ).
fof(f102,plain,
n6 = sum(n4,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f1534,plain,
spl32_218,
inference(avatar_split_clause,[],[f101,f1531]) ).
fof(f1531,plain,
( spl32_218
<=> n5 = sum(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_218])]) ).
fof(f101,plain,
n5 = sum(n4,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f1529,plain,
spl32_217,
inference(avatar_split_clause,[],[f100,f1526]) ).
fof(f1526,plain,
( spl32_217
<=> n4 = sum(n4,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_217])]) ).
fof(f100,plain,
n4 = sum(n4,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f1524,plain,
spl32_216,
inference(avatar_split_clause,[],[f99,f1521]) ).
fof(f1521,plain,
( spl32_216
<=> n2 = sum(n3,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_216])]) ).
fof(f99,plain,
n2 = sum(n3,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f1519,plain,
spl32_215,
inference(avatar_split_clause,[],[f98,f1516]) ).
fof(f1516,plain,
( spl32_215
<=> n1 = sum(n3,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_215])]) ).
fof(f98,plain,
n1 = sum(n3,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f1514,plain,
spl32_214,
inference(avatar_split_clause,[],[f97,f1511]) ).
fof(f1511,plain,
( spl32_214
<=> n0 = sum(n3,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_214])]) ).
fof(f97,plain,
n0 = sum(n3,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f1509,plain,
spl32_213,
inference(avatar_split_clause,[],[f96,f1506]) ).
fof(f1506,plain,
( spl32_213
<=> n15 = sum(n3,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_213])]) ).
fof(f96,plain,
n15 = sum(n3,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f1504,plain,
spl32_212,
inference(avatar_split_clause,[],[f95,f1501]) ).
fof(f1501,plain,
( spl32_212
<=> n14 = sum(n3,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_212])]) ).
fof(f95,plain,
n14 = sum(n3,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f1499,plain,
spl32_211,
inference(avatar_split_clause,[],[f94,f1496]) ).
fof(f1496,plain,
( spl32_211
<=> n13 = sum(n3,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_211])]) ).
fof(f94,plain,
n13 = sum(n3,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f1494,plain,
spl32_210,
inference(avatar_split_clause,[],[f93,f1491]) ).
fof(f1491,plain,
( spl32_210
<=> n12 = sum(n3,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_210])]) ).
fof(f93,plain,
n12 = sum(n3,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f1489,plain,
spl32_209,
inference(avatar_split_clause,[],[f92,f1486]) ).
fof(f1486,plain,
( spl32_209
<=> n11 = sum(n3,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_209])]) ).
fof(f92,plain,
n11 = sum(n3,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f1484,plain,
spl32_208,
inference(avatar_split_clause,[],[f91,f1481]) ).
fof(f1481,plain,
( spl32_208
<=> n10 = sum(n3,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_208])]) ).
fof(f91,plain,
n10 = sum(n3,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f1479,plain,
spl32_207,
inference(avatar_split_clause,[],[f90,f1476]) ).
fof(f1476,plain,
( spl32_207
<=> n9 = sum(n3,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_207])]) ).
fof(f90,plain,
n9 = sum(n3,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f1474,plain,
spl32_206,
inference(avatar_split_clause,[],[f89,f1471]) ).
fof(f1471,plain,
( spl32_206
<=> n8 = sum(n3,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_206])]) ).
fof(f89,plain,
n8 = sum(n3,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f1469,plain,
spl32_205,
inference(avatar_split_clause,[],[f88,f1466]) ).
fof(f1466,plain,
( spl32_205
<=> n7 = sum(n3,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_205])]) ).
fof(f88,plain,
n7 = sum(n3,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f1464,plain,
spl32_204,
inference(avatar_split_clause,[],[f87,f1461]) ).
fof(f1461,plain,
( spl32_204
<=> n6 = sum(n3,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_204])]) ).
fof(f87,plain,
n6 = sum(n3,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f1459,plain,
spl32_203,
inference(avatar_split_clause,[],[f86,f1456]) ).
fof(f1456,plain,
( spl32_203
<=> n5 = sum(n3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_203])]) ).
fof(f86,plain,
n5 = sum(n3,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f1454,plain,
spl32_202,
inference(avatar_split_clause,[],[f85,f1451]) ).
fof(f1451,plain,
( spl32_202
<=> n4 = sum(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_202])]) ).
fof(f85,plain,
n4 = sum(n3,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f1449,plain,
spl32_201,
inference(avatar_split_clause,[],[f84,f1446]) ).
fof(f1446,plain,
( spl32_201
<=> n3 = sum(n3,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_201])]) ).
fof(f84,plain,
n3 = sum(n3,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f1444,plain,
spl32_200,
inference(avatar_split_clause,[],[f83,f1441]) ).
fof(f1441,plain,
( spl32_200
<=> n1 = sum(n2,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_200])]) ).
fof(f83,plain,
n1 = sum(n2,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f1439,plain,
spl32_199,
inference(avatar_split_clause,[],[f82,f1436]) ).
fof(f1436,plain,
( spl32_199
<=> n0 = sum(n2,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_199])]) ).
fof(f82,plain,
n0 = sum(n2,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f1434,plain,
spl32_198,
inference(avatar_split_clause,[],[f81,f1431]) ).
fof(f1431,plain,
( spl32_198
<=> n15 = sum(n2,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_198])]) ).
fof(f81,plain,
n15 = sum(n2,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f1429,plain,
spl32_197,
inference(avatar_split_clause,[],[f80,f1426]) ).
fof(f1426,plain,
( spl32_197
<=> n14 = sum(n2,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_197])]) ).
fof(f80,plain,
n14 = sum(n2,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f1424,plain,
spl32_196,
inference(avatar_split_clause,[],[f79,f1421]) ).
fof(f1421,plain,
( spl32_196
<=> n13 = sum(n2,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_196])]) ).
fof(f79,plain,
n13 = sum(n2,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f1419,plain,
spl32_195,
inference(avatar_split_clause,[],[f78,f1416]) ).
fof(f1416,plain,
( spl32_195
<=> n12 = sum(n2,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_195])]) ).
fof(f78,plain,
n12 = sum(n2,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f1414,plain,
spl32_194,
inference(avatar_split_clause,[],[f77,f1411]) ).
fof(f1411,plain,
( spl32_194
<=> n11 = sum(n2,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_194])]) ).
fof(f77,plain,
n11 = sum(n2,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f1409,plain,
spl32_193,
inference(avatar_split_clause,[],[f76,f1406]) ).
fof(f1406,plain,
( spl32_193
<=> n10 = sum(n2,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_193])]) ).
fof(f76,plain,
n10 = sum(n2,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f1404,plain,
spl32_192,
inference(avatar_split_clause,[],[f75,f1401]) ).
fof(f1401,plain,
( spl32_192
<=> n9 = sum(n2,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_192])]) ).
fof(f75,plain,
n9 = sum(n2,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f1399,plain,
spl32_191,
inference(avatar_split_clause,[],[f74,f1396]) ).
fof(f1396,plain,
( spl32_191
<=> n8 = sum(n2,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_191])]) ).
fof(f74,plain,
n8 = sum(n2,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f1394,plain,
spl32_190,
inference(avatar_split_clause,[],[f73,f1391]) ).
fof(f1391,plain,
( spl32_190
<=> n7 = sum(n2,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_190])]) ).
fof(f73,plain,
n7 = sum(n2,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f1389,plain,
spl32_189,
inference(avatar_split_clause,[],[f72,f1386]) ).
fof(f1386,plain,
( spl32_189
<=> n6 = sum(n2,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_189])]) ).
fof(f72,plain,
n6 = sum(n2,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f1384,plain,
spl32_188,
inference(avatar_split_clause,[],[f71,f1381]) ).
fof(f1381,plain,
( spl32_188
<=> n5 = sum(n2,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_188])]) ).
fof(f71,plain,
n5 = sum(n2,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f1379,plain,
spl32_187,
inference(avatar_split_clause,[],[f70,f1376]) ).
fof(f1376,plain,
( spl32_187
<=> n4 = sum(n2,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_187])]) ).
fof(f70,plain,
n4 = sum(n2,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f1374,plain,
spl32_186,
inference(avatar_split_clause,[],[f69,f1371]) ).
fof(f1371,plain,
( spl32_186
<=> n3 = sum(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_186])]) ).
fof(f69,plain,
n3 = sum(n2,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f1369,plain,
spl32_185,
inference(avatar_split_clause,[],[f68,f1366]) ).
fof(f1366,plain,
( spl32_185
<=> n2 = sum(n2,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_185])]) ).
fof(f68,plain,
n2 = sum(n2,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f1364,plain,
spl32_184,
inference(avatar_split_clause,[],[f67,f1361]) ).
fof(f1361,plain,
( spl32_184
<=> n0 = sum(n1,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_184])]) ).
fof(f67,plain,
n0 = sum(n1,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f1359,plain,
spl32_183,
inference(avatar_split_clause,[],[f66,f1356]) ).
fof(f1356,plain,
( spl32_183
<=> n15 = sum(n1,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_183])]) ).
fof(f66,plain,
n15 = sum(n1,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f1354,plain,
spl32_182,
inference(avatar_split_clause,[],[f65,f1351]) ).
fof(f1351,plain,
( spl32_182
<=> n14 = sum(n1,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_182])]) ).
fof(f65,plain,
n14 = sum(n1,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f1349,plain,
spl32_181,
inference(avatar_split_clause,[],[f64,f1346]) ).
fof(f1346,plain,
( spl32_181
<=> n13 = sum(n1,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_181])]) ).
fof(f64,plain,
n13 = sum(n1,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f1344,plain,
spl32_180,
inference(avatar_split_clause,[],[f63,f1341]) ).
fof(f1341,plain,
( spl32_180
<=> n12 = sum(n1,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_180])]) ).
fof(f63,plain,
n12 = sum(n1,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f1339,plain,
spl32_179,
inference(avatar_split_clause,[],[f62,f1336]) ).
fof(f1336,plain,
( spl32_179
<=> n11 = sum(n1,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_179])]) ).
fof(f62,plain,
n11 = sum(n1,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f1334,plain,
spl32_178,
inference(avatar_split_clause,[],[f61,f1331]) ).
fof(f1331,plain,
( spl32_178
<=> n10 = sum(n1,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_178])]) ).
fof(f61,plain,
n10 = sum(n1,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f1329,plain,
spl32_177,
inference(avatar_split_clause,[],[f60,f1326]) ).
fof(f1326,plain,
( spl32_177
<=> n9 = sum(n1,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_177])]) ).
fof(f60,plain,
n9 = sum(n1,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f1324,plain,
spl32_176,
inference(avatar_split_clause,[],[f59,f1321]) ).
fof(f1321,plain,
( spl32_176
<=> n8 = sum(n1,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_176])]) ).
fof(f59,plain,
n8 = sum(n1,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f1319,plain,
spl32_175,
inference(avatar_split_clause,[],[f58,f1316]) ).
fof(f1316,plain,
( spl32_175
<=> n7 = sum(n1,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_175])]) ).
fof(f58,plain,
n7 = sum(n1,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f1314,plain,
spl32_174,
inference(avatar_split_clause,[],[f57,f1311]) ).
fof(f1311,plain,
( spl32_174
<=> n6 = sum(n1,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_174])]) ).
fof(f57,plain,
n6 = sum(n1,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f1309,plain,
spl32_173,
inference(avatar_split_clause,[],[f56,f1306]) ).
fof(f1306,plain,
( spl32_173
<=> n5 = sum(n1,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_173])]) ).
fof(f56,plain,
n5 = sum(n1,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f1304,plain,
spl32_172,
inference(avatar_split_clause,[],[f55,f1301]) ).
fof(f1301,plain,
( spl32_172
<=> n4 = sum(n1,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_172])]) ).
fof(f55,plain,
n4 = sum(n1,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f1299,plain,
spl32_171,
inference(avatar_split_clause,[],[f54,f1296]) ).
fof(f1296,plain,
( spl32_171
<=> n3 = sum(n1,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_171])]) ).
fof(f54,plain,
n3 = sum(n1,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f1294,plain,
spl32_170,
inference(avatar_split_clause,[],[f53,f1291]) ).
fof(f1291,plain,
( spl32_170
<=> n2 = sum(n1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_170])]) ).
fof(f53,plain,
n2 = sum(n1,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f1289,plain,
spl32_169,
inference(avatar_split_clause,[],[f52,f1286]) ).
fof(f1286,plain,
( spl32_169
<=> n1 = sum(n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_169])]) ).
fof(f52,plain,
n1 = sum(n1,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f1284,plain,
spl32_168,
inference(avatar_split_clause,[],[f51,f1281]) ).
fof(f1281,plain,
( spl32_168
<=> n15 = sum(n0,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_168])]) ).
fof(f51,plain,
n15 = sum(n0,n15),
inference(cnf_transformation,[],[f3]) ).
fof(f1279,plain,
spl32_167,
inference(avatar_split_clause,[],[f50,f1276]) ).
fof(f1276,plain,
( spl32_167
<=> n14 = sum(n0,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_167])]) ).
fof(f50,plain,
n14 = sum(n0,n14),
inference(cnf_transformation,[],[f3]) ).
fof(f1274,plain,
spl32_166,
inference(avatar_split_clause,[],[f49,f1271]) ).
fof(f1271,plain,
( spl32_166
<=> n13 = sum(n0,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_166])]) ).
fof(f49,plain,
n13 = sum(n0,n13),
inference(cnf_transformation,[],[f3]) ).
fof(f1269,plain,
spl32_165,
inference(avatar_split_clause,[],[f48,f1266]) ).
fof(f1266,plain,
( spl32_165
<=> n12 = sum(n0,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_165])]) ).
fof(f48,plain,
n12 = sum(n0,n12),
inference(cnf_transformation,[],[f3]) ).
fof(f1264,plain,
spl32_164,
inference(avatar_split_clause,[],[f47,f1261]) ).
fof(f1261,plain,
( spl32_164
<=> n11 = sum(n0,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_164])]) ).
fof(f47,plain,
n11 = sum(n0,n11),
inference(cnf_transformation,[],[f3]) ).
fof(f1259,plain,
spl32_163,
inference(avatar_split_clause,[],[f46,f1256]) ).
fof(f1256,plain,
( spl32_163
<=> n10 = sum(n0,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_163])]) ).
fof(f46,plain,
n10 = sum(n0,n10),
inference(cnf_transformation,[],[f3]) ).
fof(f1254,plain,
spl32_162,
inference(avatar_split_clause,[],[f45,f1251]) ).
fof(f1251,plain,
( spl32_162
<=> n9 = sum(n0,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_162])]) ).
fof(f45,plain,
n9 = sum(n0,n9),
inference(cnf_transformation,[],[f3]) ).
fof(f1249,plain,
spl32_161,
inference(avatar_split_clause,[],[f44,f1246]) ).
fof(f1246,plain,
( spl32_161
<=> n8 = sum(n0,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_161])]) ).
fof(f44,plain,
n8 = sum(n0,n8),
inference(cnf_transformation,[],[f3]) ).
fof(f1244,plain,
spl32_160,
inference(avatar_split_clause,[],[f43,f1241]) ).
fof(f1241,plain,
( spl32_160
<=> n7 = sum(n0,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_160])]) ).
fof(f43,plain,
n7 = sum(n0,n7),
inference(cnf_transformation,[],[f3]) ).
fof(f1239,plain,
spl32_159,
inference(avatar_split_clause,[],[f42,f1236]) ).
fof(f1236,plain,
( spl32_159
<=> n6 = sum(n0,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_159])]) ).
fof(f42,plain,
n6 = sum(n0,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f1234,plain,
spl32_158,
inference(avatar_split_clause,[],[f41,f1231]) ).
fof(f1231,plain,
( spl32_158
<=> n5 = sum(n0,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_158])]) ).
fof(f41,plain,
n5 = sum(n0,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f1229,plain,
spl32_157,
inference(avatar_split_clause,[],[f40,f1226]) ).
fof(f1226,plain,
( spl32_157
<=> n4 = sum(n0,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_157])]) ).
fof(f40,plain,
n4 = sum(n0,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f1224,plain,
spl32_156,
inference(avatar_split_clause,[],[f39,f1221]) ).
fof(f1221,plain,
( spl32_156
<=> n3 = sum(n0,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_156])]) ).
fof(f39,plain,
n3 = sum(n0,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f1219,plain,
spl32_155,
inference(avatar_split_clause,[],[f38,f1216]) ).
fof(f1216,plain,
( spl32_155
<=> n2 = sum(n0,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_155])]) ).
fof(f38,plain,
n2 = sum(n0,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f1214,plain,
spl32_154,
inference(avatar_split_clause,[],[f37,f1211]) ).
fof(f1211,plain,
( spl32_154
<=> n1 = sum(n0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_154])]) ).
fof(f37,plain,
n1 = sum(n0,n1),
inference(cnf_transformation,[],[f3]) ).
fof(f1209,plain,
spl32_153,
inference(avatar_split_clause,[],[f36,f1206]) ).
fof(f1206,plain,
( spl32_153
<=> n0 = sum(n0,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_153])]) ).
fof(f36,plain,
n0 = sum(n0,n0),
inference(cnf_transformation,[],[f3]) ).
fof(f1204,plain,
spl32_152,
inference(avatar_split_clause,[],[f35,f1201]) ).
fof(f35,plain,
n14 = pred(n15),
inference(cnf_transformation,[],[f3]) ).
fof(f1199,plain,
spl32_151,
inference(avatar_split_clause,[],[f34,f1196]) ).
fof(f1196,plain,
( spl32_151
<=> n13 = pred(n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_151])]) ).
fof(f34,plain,
n13 = pred(n14),
inference(cnf_transformation,[],[f3]) ).
fof(f1194,plain,
spl32_150,
inference(avatar_split_clause,[],[f33,f1191]) ).
fof(f1191,plain,
( spl32_150
<=> n12 = pred(n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_150])]) ).
fof(f33,plain,
n12 = pred(n13),
inference(cnf_transformation,[],[f3]) ).
fof(f1189,plain,
spl32_149,
inference(avatar_split_clause,[],[f32,f1186]) ).
fof(f1186,plain,
( spl32_149
<=> n11 = pred(n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_149])]) ).
fof(f32,plain,
n11 = pred(n12),
inference(cnf_transformation,[],[f3]) ).
fof(f1184,plain,
spl32_148,
inference(avatar_split_clause,[],[f31,f1181]) ).
fof(f1181,plain,
( spl32_148
<=> n10 = pred(n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_148])]) ).
fof(f31,plain,
n10 = pred(n11),
inference(cnf_transformation,[],[f3]) ).
fof(f1179,plain,
spl32_147,
inference(avatar_split_clause,[],[f30,f1176]) ).
fof(f1176,plain,
( spl32_147
<=> n9 = pred(n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_147])]) ).
fof(f30,plain,
n9 = pred(n10),
inference(cnf_transformation,[],[f3]) ).
fof(f1174,plain,
spl32_146,
inference(avatar_split_clause,[],[f29,f1171]) ).
fof(f1171,plain,
( spl32_146
<=> n8 = pred(n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_146])]) ).
fof(f29,plain,
n8 = pred(n9),
inference(cnf_transformation,[],[f3]) ).
fof(f1169,plain,
spl32_145,
inference(avatar_split_clause,[],[f28,f1166]) ).
fof(f1166,plain,
( spl32_145
<=> n7 = pred(n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_145])]) ).
fof(f28,plain,
n7 = pred(n8),
inference(cnf_transformation,[],[f3]) ).
fof(f1164,plain,
spl32_144,
inference(avatar_split_clause,[],[f27,f1161]) ).
fof(f1161,plain,
( spl32_144
<=> n6 = pred(n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_144])]) ).
fof(f27,plain,
n6 = pred(n7),
inference(cnf_transformation,[],[f3]) ).
fof(f1159,plain,
spl32_143,
inference(avatar_split_clause,[],[f26,f1156]) ).
fof(f1156,plain,
( spl32_143
<=> n5 = pred(n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_143])]) ).
fof(f26,plain,
n5 = pred(n6),
inference(cnf_transformation,[],[f3]) ).
fof(f1154,plain,
spl32_142,
inference(avatar_split_clause,[],[f25,f1151]) ).
fof(f1151,plain,
( spl32_142
<=> n4 = pred(n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_142])]) ).
fof(f25,plain,
n4 = pred(n5),
inference(cnf_transformation,[],[f3]) ).
fof(f1149,plain,
spl32_141,
inference(avatar_split_clause,[],[f24,f1146]) ).
fof(f1146,plain,
( spl32_141
<=> n3 = pred(n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_141])]) ).
fof(f24,plain,
n3 = pred(n4),
inference(cnf_transformation,[],[f3]) ).
fof(f1144,plain,
spl32_140,
inference(avatar_split_clause,[],[f23,f1141]) ).
fof(f1141,plain,
( spl32_140
<=> n2 = pred(n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_140])]) ).
fof(f23,plain,
n2 = pred(n3),
inference(cnf_transformation,[],[f3]) ).
fof(f1139,plain,
spl32_139,
inference(avatar_split_clause,[],[f22,f1136]) ).
fof(f1136,plain,
( spl32_139
<=> n1 = pred(n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_139])]) ).
fof(f22,plain,
n1 = pred(n2),
inference(cnf_transformation,[],[f3]) ).
fof(f1134,plain,
spl32_138,
inference(avatar_split_clause,[],[f21,f1131]) ).
fof(f1131,plain,
( spl32_138
<=> n0 = pred(n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_138])]) ).
fof(f21,plain,
n0 = pred(n1),
inference(cnf_transformation,[],[f3]) ).
fof(f1129,plain,
spl32_137,
inference(avatar_split_clause,[],[f20,f1126]) ).
fof(f1126,plain,
( spl32_137
<=> n15 = pred(n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_137])]) ).
fof(f20,plain,
n15 = pred(n0),
inference(cnf_transformation,[],[f3]) ).
fof(f1124,plain,
spl32_136,
inference(avatar_split_clause,[],[f19,f1121]) ).
fof(f19,plain,
n0 = succ(n15),
inference(cnf_transformation,[],[f3]) ).
fof(f1119,plain,
spl32_135,
inference(avatar_split_clause,[],[f18,f1116]) ).
fof(f1116,plain,
( spl32_135
<=> succ(n14) = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_135])]) ).
fof(f18,plain,
succ(n14) = n15,
inference(cnf_transformation,[],[f3]) ).
fof(f1114,plain,
spl32_134,
inference(avatar_split_clause,[],[f17,f1111]) ).
fof(f1111,plain,
( spl32_134
<=> succ(n13) = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_134])]) ).
fof(f17,plain,
succ(n13) = n14,
inference(cnf_transformation,[],[f3]) ).
fof(f1109,plain,
spl32_133,
inference(avatar_split_clause,[],[f16,f1106]) ).
fof(f1106,plain,
( spl32_133
<=> succ(n12) = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_133])]) ).
fof(f16,plain,
succ(n12) = n13,
inference(cnf_transformation,[],[f3]) ).
fof(f1104,plain,
spl32_132,
inference(avatar_split_clause,[],[f15,f1101]) ).
fof(f1101,plain,
( spl32_132
<=> succ(n11) = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_132])]) ).
fof(f15,plain,
succ(n11) = n12,
inference(cnf_transformation,[],[f3]) ).
fof(f1099,plain,
spl32_131,
inference(avatar_split_clause,[],[f14,f1096]) ).
fof(f1096,plain,
( spl32_131
<=> succ(n10) = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_131])]) ).
fof(f14,plain,
succ(n10) = n11,
inference(cnf_transformation,[],[f3]) ).
fof(f1094,plain,
spl32_130,
inference(avatar_split_clause,[],[f13,f1091]) ).
fof(f1091,plain,
( spl32_130
<=> succ(n9) = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_130])]) ).
fof(f13,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f3]) ).
fof(f1089,plain,
spl32_129,
inference(avatar_split_clause,[],[f12,f1086]) ).
fof(f1086,plain,
( spl32_129
<=> succ(n8) = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_129])]) ).
fof(f12,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f3]) ).
fof(f1084,plain,
spl32_128,
inference(avatar_split_clause,[],[f11,f1081]) ).
fof(f1081,plain,
( spl32_128
<=> succ(n7) = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_128])]) ).
fof(f11,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f3]) ).
fof(f1079,plain,
spl32_127,
inference(avatar_split_clause,[],[f10,f1076]) ).
fof(f1076,plain,
( spl32_127
<=> succ(n6) = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_127])]) ).
fof(f10,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f3]) ).
fof(f1074,plain,
spl32_126,
inference(avatar_split_clause,[],[f9,f1071]) ).
fof(f1071,plain,
( spl32_126
<=> succ(n5) = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_126])]) ).
fof(f9,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f3]) ).
fof(f1069,plain,
spl32_125,
inference(avatar_split_clause,[],[f8,f1066]) ).
fof(f1066,plain,
( spl32_125
<=> succ(n4) = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_125])]) ).
fof(f8,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f3]) ).
fof(f1064,plain,
spl32_124,
inference(avatar_split_clause,[],[f7,f1061]) ).
fof(f1061,plain,
( spl32_124
<=> succ(n3) = n4 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_124])]) ).
fof(f7,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f3]) ).
fof(f1059,plain,
spl32_123,
inference(avatar_split_clause,[],[f6,f1056]) ).
fof(f1056,plain,
( spl32_123
<=> succ(n2) = n3 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_123])]) ).
fof(f6,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f3]) ).
fof(f1054,plain,
spl32_122,
inference(avatar_split_clause,[],[f5,f1051]) ).
fof(f1051,plain,
( spl32_122
<=> succ(n1) = n2 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_122])]) ).
fof(f5,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f3]) ).
fof(f1049,plain,
spl32_121,
inference(avatar_split_clause,[],[f4,f1046]) ).
fof(f1046,plain,
( spl32_121
<=> succ(n0) = n1 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_121])]) ).
fof(f4,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f3]) ).
fof(f1044,plain,
~ spl32_120,
inference(avatar_split_clause,[],[f444,f1041]) ).
fof(f1041,plain,
( spl32_120
<=> n14 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_120])]) ).
fof(f444,plain,
n14 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f1039,plain,
~ spl32_119,
inference(avatar_split_clause,[],[f443,f1036]) ).
fof(f1036,plain,
( spl32_119
<=> n13 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_119])]) ).
fof(f443,plain,
n13 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f1034,plain,
~ spl32_118,
inference(avatar_split_clause,[],[f442,f1031]) ).
fof(f1031,plain,
( spl32_118
<=> n13 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_118])]) ).
fof(f442,plain,
n13 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f1029,plain,
~ spl32_117,
inference(avatar_split_clause,[],[f441,f1026]) ).
fof(f1026,plain,
( spl32_117
<=> n12 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_117])]) ).
fof(f441,plain,
n12 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f1024,plain,
~ spl32_116,
inference(avatar_split_clause,[],[f440,f1021]) ).
fof(f1021,plain,
( spl32_116
<=> n12 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_116])]) ).
fof(f440,plain,
n12 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f1019,plain,
~ spl32_115,
inference(avatar_split_clause,[],[f439,f1016]) ).
fof(f1016,plain,
( spl32_115
<=> n12 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_115])]) ).
fof(f439,plain,
n12 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f1014,plain,
~ spl32_114,
inference(avatar_split_clause,[],[f438,f1011]) ).
fof(f1011,plain,
( spl32_114
<=> n11 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_114])]) ).
fof(f438,plain,
n11 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f1009,plain,
~ spl32_113,
inference(avatar_split_clause,[],[f437,f1006]) ).
fof(f1006,plain,
( spl32_113
<=> n11 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_113])]) ).
fof(f437,plain,
n11 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f1004,plain,
~ spl32_112,
inference(avatar_split_clause,[],[f436,f1001]) ).
fof(f1001,plain,
( spl32_112
<=> n11 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_112])]) ).
fof(f436,plain,
n11 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f999,plain,
~ spl32_111,
inference(avatar_split_clause,[],[f435,f996]) ).
fof(f996,plain,
( spl32_111
<=> n11 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_111])]) ).
fof(f435,plain,
n11 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f994,plain,
~ spl32_110,
inference(avatar_split_clause,[],[f434,f991]) ).
fof(f991,plain,
( spl32_110
<=> n10 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_110])]) ).
fof(f434,plain,
n10 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f989,plain,
~ spl32_109,
inference(avatar_split_clause,[],[f433,f986]) ).
fof(f986,plain,
( spl32_109
<=> n10 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_109])]) ).
fof(f433,plain,
n10 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f984,plain,
~ spl32_108,
inference(avatar_split_clause,[],[f432,f981]) ).
fof(f981,plain,
( spl32_108
<=> n10 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_108])]) ).
fof(f432,plain,
n10 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f979,plain,
~ spl32_107,
inference(avatar_split_clause,[],[f431,f976]) ).
fof(f976,plain,
( spl32_107
<=> n10 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_107])]) ).
fof(f431,plain,
n10 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f974,plain,
~ spl32_106,
inference(avatar_split_clause,[],[f430,f971]) ).
fof(f971,plain,
( spl32_106
<=> n10 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_106])]) ).
fof(f430,plain,
n10 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f969,plain,
~ spl32_105,
inference(avatar_split_clause,[],[f429,f966]) ).
fof(f966,plain,
( spl32_105
<=> n9 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_105])]) ).
fof(f429,plain,
n9 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f964,plain,
~ spl32_104,
inference(avatar_split_clause,[],[f428,f961]) ).
fof(f961,plain,
( spl32_104
<=> n9 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_104])]) ).
fof(f428,plain,
n9 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f959,plain,
~ spl32_103,
inference(avatar_split_clause,[],[f427,f956]) ).
fof(f956,plain,
( spl32_103
<=> n9 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_103])]) ).
fof(f427,plain,
n9 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f954,plain,
~ spl32_102,
inference(avatar_split_clause,[],[f426,f951]) ).
fof(f951,plain,
( spl32_102
<=> n9 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_102])]) ).
fof(f426,plain,
n9 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f949,plain,
~ spl32_101,
inference(avatar_split_clause,[],[f425,f946]) ).
fof(f946,plain,
( spl32_101
<=> n9 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_101])]) ).
fof(f425,plain,
n9 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f944,plain,
~ spl32_100,
inference(avatar_split_clause,[],[f424,f941]) ).
fof(f941,plain,
( spl32_100
<=> n9 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_100])]) ).
fof(f424,plain,
n9 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f939,plain,
~ spl32_99,
inference(avatar_split_clause,[],[f423,f936]) ).
fof(f936,plain,
( spl32_99
<=> n8 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_99])]) ).
fof(f423,plain,
n8 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f934,plain,
~ spl32_98,
inference(avatar_split_clause,[],[f422,f931]) ).
fof(f931,plain,
( spl32_98
<=> n8 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_98])]) ).
fof(f422,plain,
n8 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f929,plain,
~ spl32_97,
inference(avatar_split_clause,[],[f421,f926]) ).
fof(f926,plain,
( spl32_97
<=> n8 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_97])]) ).
fof(f421,plain,
n8 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f924,plain,
~ spl32_96,
inference(avatar_split_clause,[],[f420,f921]) ).
fof(f921,plain,
( spl32_96
<=> n8 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_96])]) ).
fof(f420,plain,
n8 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f919,plain,
~ spl32_95,
inference(avatar_split_clause,[],[f419,f916]) ).
fof(f916,plain,
( spl32_95
<=> n8 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_95])]) ).
fof(f419,plain,
n8 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f914,plain,
~ spl32_94,
inference(avatar_split_clause,[],[f418,f911]) ).
fof(f911,plain,
( spl32_94
<=> n8 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_94])]) ).
fof(f418,plain,
n8 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f909,plain,
~ spl32_93,
inference(avatar_split_clause,[],[f417,f906]) ).
fof(f906,plain,
( spl32_93
<=> n8 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_93])]) ).
fof(f417,plain,
n8 != n9,
inference(cnf_transformation,[],[f3]) ).
fof(f904,plain,
~ spl32_92,
inference(avatar_split_clause,[],[f416,f901]) ).
fof(f901,plain,
( spl32_92
<=> n7 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_92])]) ).
fof(f416,plain,
n7 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f899,plain,
~ spl32_91,
inference(avatar_split_clause,[],[f415,f896]) ).
fof(f896,plain,
( spl32_91
<=> n7 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_91])]) ).
fof(f415,plain,
n7 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f894,plain,
~ spl32_90,
inference(avatar_split_clause,[],[f414,f891]) ).
fof(f891,plain,
( spl32_90
<=> n7 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_90])]) ).
fof(f414,plain,
n7 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f889,plain,
~ spl32_89,
inference(avatar_split_clause,[],[f413,f886]) ).
fof(f886,plain,
( spl32_89
<=> n7 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_89])]) ).
fof(f413,plain,
n7 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f884,plain,
~ spl32_88,
inference(avatar_split_clause,[],[f412,f881]) ).
fof(f881,plain,
( spl32_88
<=> n7 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_88])]) ).
fof(f412,plain,
n7 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f879,plain,
~ spl32_87,
inference(avatar_split_clause,[],[f411,f876]) ).
fof(f876,plain,
( spl32_87
<=> n7 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_87])]) ).
fof(f411,plain,
n7 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f874,plain,
~ spl32_86,
inference(avatar_split_clause,[],[f410,f871]) ).
fof(f871,plain,
( spl32_86
<=> n7 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_86])]) ).
fof(f410,plain,
n7 != n9,
inference(cnf_transformation,[],[f3]) ).
fof(f869,plain,
~ spl32_85,
inference(avatar_split_clause,[],[f409,f866]) ).
fof(f866,plain,
( spl32_85
<=> n7 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_85])]) ).
fof(f409,plain,
n7 != n8,
inference(cnf_transformation,[],[f3]) ).
fof(f864,plain,
~ spl32_84,
inference(avatar_split_clause,[],[f408,f861]) ).
fof(f861,plain,
( spl32_84
<=> n6 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_84])]) ).
fof(f408,plain,
n6 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f859,plain,
~ spl32_83,
inference(avatar_split_clause,[],[f407,f856]) ).
fof(f856,plain,
( spl32_83
<=> n6 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_83])]) ).
fof(f407,plain,
n6 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f854,plain,
~ spl32_82,
inference(avatar_split_clause,[],[f406,f851]) ).
fof(f851,plain,
( spl32_82
<=> n6 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_82])]) ).
fof(f406,plain,
n6 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f849,plain,
~ spl32_81,
inference(avatar_split_clause,[],[f405,f846]) ).
fof(f846,plain,
( spl32_81
<=> n6 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_81])]) ).
fof(f405,plain,
n6 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f844,plain,
~ spl32_80,
inference(avatar_split_clause,[],[f404,f841]) ).
fof(f841,plain,
( spl32_80
<=> n6 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_80])]) ).
fof(f404,plain,
n6 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f839,plain,
~ spl32_79,
inference(avatar_split_clause,[],[f403,f836]) ).
fof(f836,plain,
( spl32_79
<=> n6 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_79])]) ).
fof(f403,plain,
n6 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f834,plain,
~ spl32_78,
inference(avatar_split_clause,[],[f402,f831]) ).
fof(f831,plain,
( spl32_78
<=> n6 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_78])]) ).
fof(f402,plain,
n6 != n9,
inference(cnf_transformation,[],[f3]) ).
fof(f829,plain,
~ spl32_77,
inference(avatar_split_clause,[],[f401,f826]) ).
fof(f826,plain,
( spl32_77
<=> n6 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_77])]) ).
fof(f401,plain,
n6 != n8,
inference(cnf_transformation,[],[f3]) ).
fof(f824,plain,
~ spl32_76,
inference(avatar_split_clause,[],[f400,f821]) ).
fof(f821,plain,
( spl32_76
<=> n6 = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_76])]) ).
fof(f400,plain,
n6 != n7,
inference(cnf_transformation,[],[f3]) ).
fof(f819,plain,
~ spl32_75,
inference(avatar_split_clause,[],[f399,f816]) ).
fof(f816,plain,
( spl32_75
<=> n5 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_75])]) ).
fof(f399,plain,
n5 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f814,plain,
~ spl32_74,
inference(avatar_split_clause,[],[f398,f811]) ).
fof(f811,plain,
( spl32_74
<=> n5 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_74])]) ).
fof(f398,plain,
n5 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f809,plain,
~ spl32_73,
inference(avatar_split_clause,[],[f397,f806]) ).
fof(f806,plain,
( spl32_73
<=> n5 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_73])]) ).
fof(f397,plain,
n5 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f804,plain,
~ spl32_72,
inference(avatar_split_clause,[],[f396,f801]) ).
fof(f801,plain,
( spl32_72
<=> n5 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_72])]) ).
fof(f396,plain,
n5 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f799,plain,
~ spl32_71,
inference(avatar_split_clause,[],[f395,f796]) ).
fof(f796,plain,
( spl32_71
<=> n5 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_71])]) ).
fof(f395,plain,
n5 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f794,plain,
~ spl32_70,
inference(avatar_split_clause,[],[f394,f791]) ).
fof(f791,plain,
( spl32_70
<=> n5 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_70])]) ).
fof(f394,plain,
n5 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f789,plain,
~ spl32_69,
inference(avatar_split_clause,[],[f393,f786]) ).
fof(f786,plain,
( spl32_69
<=> n5 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_69])]) ).
fof(f393,plain,
n5 != n9,
inference(cnf_transformation,[],[f3]) ).
fof(f784,plain,
~ spl32_68,
inference(avatar_split_clause,[],[f392,f781]) ).
fof(f781,plain,
( spl32_68
<=> n5 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_68])]) ).
fof(f392,plain,
n5 != n8,
inference(cnf_transformation,[],[f3]) ).
fof(f779,plain,
~ spl32_67,
inference(avatar_split_clause,[],[f391,f776]) ).
fof(f776,plain,
( spl32_67
<=> n5 = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_67])]) ).
fof(f391,plain,
n5 != n7,
inference(cnf_transformation,[],[f3]) ).
fof(f774,plain,
~ spl32_66,
inference(avatar_split_clause,[],[f390,f771]) ).
fof(f771,plain,
( spl32_66
<=> n5 = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_66])]) ).
fof(f390,plain,
n5 != n6,
inference(cnf_transformation,[],[f3]) ).
fof(f769,plain,
~ spl32_65,
inference(avatar_split_clause,[],[f389,f766]) ).
fof(f766,plain,
( spl32_65
<=> n4 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_65])]) ).
fof(f389,plain,
n4 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f764,plain,
~ spl32_64,
inference(avatar_split_clause,[],[f388,f761]) ).
fof(f761,plain,
( spl32_64
<=> n4 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_64])]) ).
fof(f388,plain,
n4 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f759,plain,
~ spl32_63,
inference(avatar_split_clause,[],[f387,f756]) ).
fof(f756,plain,
( spl32_63
<=> n4 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_63])]) ).
fof(f387,plain,
n4 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f754,plain,
~ spl32_62,
inference(avatar_split_clause,[],[f386,f751]) ).
fof(f751,plain,
( spl32_62
<=> n4 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_62])]) ).
fof(f386,plain,
n4 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f749,plain,
~ spl32_61,
inference(avatar_split_clause,[],[f385,f746]) ).
fof(f746,plain,
( spl32_61
<=> n4 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_61])]) ).
fof(f385,plain,
n4 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f744,plain,
~ spl32_60,
inference(avatar_split_clause,[],[f384,f741]) ).
fof(f741,plain,
( spl32_60
<=> n4 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_60])]) ).
fof(f384,plain,
n4 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f739,plain,
~ spl32_59,
inference(avatar_split_clause,[],[f383,f736]) ).
fof(f736,plain,
( spl32_59
<=> n4 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_59])]) ).
fof(f383,plain,
n4 != n9,
inference(cnf_transformation,[],[f3]) ).
fof(f734,plain,
~ spl32_58,
inference(avatar_split_clause,[],[f382,f731]) ).
fof(f731,plain,
( spl32_58
<=> n4 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_58])]) ).
fof(f382,plain,
n4 != n8,
inference(cnf_transformation,[],[f3]) ).
fof(f729,plain,
~ spl32_57,
inference(avatar_split_clause,[],[f381,f726]) ).
fof(f726,plain,
( spl32_57
<=> n4 = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_57])]) ).
fof(f381,plain,
n4 != n7,
inference(cnf_transformation,[],[f3]) ).
fof(f724,plain,
~ spl32_56,
inference(avatar_split_clause,[],[f380,f721]) ).
fof(f721,plain,
( spl32_56
<=> n4 = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_56])]) ).
fof(f380,plain,
n4 != n6,
inference(cnf_transformation,[],[f3]) ).
fof(f719,plain,
~ spl32_55,
inference(avatar_split_clause,[],[f379,f716]) ).
fof(f716,plain,
( spl32_55
<=> n4 = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_55])]) ).
fof(f379,plain,
n4 != n5,
inference(cnf_transformation,[],[f3]) ).
fof(f714,plain,
~ spl32_54,
inference(avatar_split_clause,[],[f378,f711]) ).
fof(f711,plain,
( spl32_54
<=> n3 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_54])]) ).
fof(f378,plain,
n3 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f709,plain,
~ spl32_53,
inference(avatar_split_clause,[],[f377,f706]) ).
fof(f706,plain,
( spl32_53
<=> n3 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_53])]) ).
fof(f377,plain,
n3 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f704,plain,
~ spl32_52,
inference(avatar_split_clause,[],[f376,f701]) ).
fof(f701,plain,
( spl32_52
<=> n3 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_52])]) ).
fof(f376,plain,
n3 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f699,plain,
~ spl32_51,
inference(avatar_split_clause,[],[f375,f696]) ).
fof(f696,plain,
( spl32_51
<=> n3 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_51])]) ).
fof(f375,plain,
n3 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f694,plain,
~ spl32_50,
inference(avatar_split_clause,[],[f374,f691]) ).
fof(f691,plain,
( spl32_50
<=> n3 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_50])]) ).
fof(f374,plain,
n3 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f689,plain,
~ spl32_49,
inference(avatar_split_clause,[],[f373,f686]) ).
fof(f686,plain,
( spl32_49
<=> n3 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_49])]) ).
fof(f373,plain,
n3 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f684,plain,
~ spl32_48,
inference(avatar_split_clause,[],[f372,f681]) ).
fof(f681,plain,
( spl32_48
<=> n3 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_48])]) ).
fof(f372,plain,
n3 != n9,
inference(cnf_transformation,[],[f3]) ).
fof(f679,plain,
~ spl32_47,
inference(avatar_split_clause,[],[f371,f676]) ).
fof(f676,plain,
( spl32_47
<=> n3 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_47])]) ).
fof(f371,plain,
n3 != n8,
inference(cnf_transformation,[],[f3]) ).
fof(f674,plain,
~ spl32_46,
inference(avatar_split_clause,[],[f370,f671]) ).
fof(f671,plain,
( spl32_46
<=> n3 = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_46])]) ).
fof(f370,plain,
n3 != n7,
inference(cnf_transformation,[],[f3]) ).
fof(f669,plain,
~ spl32_45,
inference(avatar_split_clause,[],[f369,f666]) ).
fof(f666,plain,
( spl32_45
<=> n3 = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_45])]) ).
fof(f369,plain,
n3 != n6,
inference(cnf_transformation,[],[f3]) ).
fof(f664,plain,
~ spl32_44,
inference(avatar_split_clause,[],[f368,f661]) ).
fof(f661,plain,
( spl32_44
<=> n3 = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_44])]) ).
fof(f368,plain,
n3 != n5,
inference(cnf_transformation,[],[f3]) ).
fof(f659,plain,
~ spl32_43,
inference(avatar_split_clause,[],[f367,f656]) ).
fof(f656,plain,
( spl32_43
<=> n3 = n4 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_43])]) ).
fof(f367,plain,
n3 != n4,
inference(cnf_transformation,[],[f3]) ).
fof(f654,plain,
~ spl32_42,
inference(avatar_split_clause,[],[f366,f651]) ).
fof(f651,plain,
( spl32_42
<=> n2 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_42])]) ).
fof(f366,plain,
n2 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f649,plain,
~ spl32_41,
inference(avatar_split_clause,[],[f365,f646]) ).
fof(f646,plain,
( spl32_41
<=> n2 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_41])]) ).
fof(f365,plain,
n2 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f644,plain,
~ spl32_40,
inference(avatar_split_clause,[],[f364,f641]) ).
fof(f641,plain,
( spl32_40
<=> n2 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_40])]) ).
fof(f364,plain,
n2 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f639,plain,
~ spl32_39,
inference(avatar_split_clause,[],[f363,f636]) ).
fof(f636,plain,
( spl32_39
<=> n2 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_39])]) ).
fof(f363,plain,
n2 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f634,plain,
~ spl32_38,
inference(avatar_split_clause,[],[f362,f631]) ).
fof(f631,plain,
( spl32_38
<=> n2 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_38])]) ).
fof(f362,plain,
n2 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f629,plain,
~ spl32_37,
inference(avatar_split_clause,[],[f361,f626]) ).
fof(f626,plain,
( spl32_37
<=> n2 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_37])]) ).
fof(f361,plain,
n2 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f624,plain,
~ spl32_36,
inference(avatar_split_clause,[],[f360,f621]) ).
fof(f621,plain,
( spl32_36
<=> n2 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_36])]) ).
fof(f360,plain,
n2 != n9,
inference(cnf_transformation,[],[f3]) ).
fof(f619,plain,
~ spl32_35,
inference(avatar_split_clause,[],[f359,f616]) ).
fof(f616,plain,
( spl32_35
<=> n2 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_35])]) ).
fof(f359,plain,
n2 != n8,
inference(cnf_transformation,[],[f3]) ).
fof(f614,plain,
~ spl32_34,
inference(avatar_split_clause,[],[f358,f611]) ).
fof(f611,plain,
( spl32_34
<=> n2 = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_34])]) ).
fof(f358,plain,
n2 != n7,
inference(cnf_transformation,[],[f3]) ).
fof(f609,plain,
~ spl32_33,
inference(avatar_split_clause,[],[f357,f606]) ).
fof(f606,plain,
( spl32_33
<=> n2 = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_33])]) ).
fof(f357,plain,
n2 != n6,
inference(cnf_transformation,[],[f3]) ).
fof(f604,plain,
~ spl32_32,
inference(avatar_split_clause,[],[f356,f601]) ).
fof(f601,plain,
( spl32_32
<=> n2 = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_32])]) ).
fof(f356,plain,
n2 != n5,
inference(cnf_transformation,[],[f3]) ).
fof(f599,plain,
~ spl32_31,
inference(avatar_split_clause,[],[f355,f596]) ).
fof(f596,plain,
( spl32_31
<=> n2 = n4 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_31])]) ).
fof(f355,plain,
n2 != n4,
inference(cnf_transformation,[],[f3]) ).
fof(f594,plain,
~ spl32_30,
inference(avatar_split_clause,[],[f354,f591]) ).
fof(f591,plain,
( spl32_30
<=> n2 = n3 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_30])]) ).
fof(f354,plain,
n2 != n3,
inference(cnf_transformation,[],[f3]) ).
fof(f589,plain,
~ spl32_29,
inference(avatar_split_clause,[],[f353,f586]) ).
fof(f586,plain,
( spl32_29
<=> n1 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_29])]) ).
fof(f353,plain,
n1 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f584,plain,
~ spl32_28,
inference(avatar_split_clause,[],[f352,f581]) ).
fof(f581,plain,
( spl32_28
<=> n1 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_28])]) ).
fof(f352,plain,
n1 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f579,plain,
~ spl32_27,
inference(avatar_split_clause,[],[f351,f576]) ).
fof(f576,plain,
( spl32_27
<=> n1 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_27])]) ).
fof(f351,plain,
n1 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f574,plain,
~ spl32_26,
inference(avatar_split_clause,[],[f350,f571]) ).
fof(f571,plain,
( spl32_26
<=> n1 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_26])]) ).
fof(f350,plain,
n1 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f569,plain,
~ spl32_25,
inference(avatar_split_clause,[],[f349,f566]) ).
fof(f566,plain,
( spl32_25
<=> n1 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_25])]) ).
fof(f349,plain,
n1 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f564,plain,
~ spl32_24,
inference(avatar_split_clause,[],[f348,f561]) ).
fof(f561,plain,
( spl32_24
<=> n1 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_24])]) ).
fof(f348,plain,
n1 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f559,plain,
~ spl32_23,
inference(avatar_split_clause,[],[f347,f556]) ).
fof(f556,plain,
( spl32_23
<=> n1 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_23])]) ).
fof(f347,plain,
n1 != n9,
inference(cnf_transformation,[],[f3]) ).
fof(f554,plain,
~ spl32_22,
inference(avatar_split_clause,[],[f346,f551]) ).
fof(f551,plain,
( spl32_22
<=> n1 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_22])]) ).
fof(f346,plain,
n1 != n8,
inference(cnf_transformation,[],[f3]) ).
fof(f549,plain,
~ spl32_21,
inference(avatar_split_clause,[],[f345,f546]) ).
fof(f546,plain,
( spl32_21
<=> n1 = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_21])]) ).
fof(f345,plain,
n1 != n7,
inference(cnf_transformation,[],[f3]) ).
fof(f544,plain,
~ spl32_20,
inference(avatar_split_clause,[],[f344,f541]) ).
fof(f541,plain,
( spl32_20
<=> n1 = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_20])]) ).
fof(f344,plain,
n1 != n6,
inference(cnf_transformation,[],[f3]) ).
fof(f539,plain,
~ spl32_19,
inference(avatar_split_clause,[],[f343,f536]) ).
fof(f536,plain,
( spl32_19
<=> n1 = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_19])]) ).
fof(f343,plain,
n1 != n5,
inference(cnf_transformation,[],[f3]) ).
fof(f534,plain,
~ spl32_18,
inference(avatar_split_clause,[],[f342,f531]) ).
fof(f531,plain,
( spl32_18
<=> n1 = n4 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_18])]) ).
fof(f342,plain,
n1 != n4,
inference(cnf_transformation,[],[f3]) ).
fof(f529,plain,
~ spl32_17,
inference(avatar_split_clause,[],[f341,f526]) ).
fof(f526,plain,
( spl32_17
<=> n1 = n3 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_17])]) ).
fof(f341,plain,
n1 != n3,
inference(cnf_transformation,[],[f3]) ).
fof(f524,plain,
~ spl32_16,
inference(avatar_split_clause,[],[f340,f521]) ).
fof(f521,plain,
( spl32_16
<=> n1 = n2 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_16])]) ).
fof(f340,plain,
n1 != n2,
inference(cnf_transformation,[],[f3]) ).
fof(f519,plain,
~ spl32_15,
inference(avatar_split_clause,[],[f339,f516]) ).
fof(f516,plain,
( spl32_15
<=> n0 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_15])]) ).
fof(f339,plain,
n0 != n15,
inference(cnf_transformation,[],[f3]) ).
fof(f514,plain,
~ spl32_14,
inference(avatar_split_clause,[],[f338,f511]) ).
fof(f511,plain,
( spl32_14
<=> n0 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_14])]) ).
fof(f338,plain,
n0 != n14,
inference(cnf_transformation,[],[f3]) ).
fof(f509,plain,
~ spl32_13,
inference(avatar_split_clause,[],[f337,f506]) ).
fof(f506,plain,
( spl32_13
<=> n0 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_13])]) ).
fof(f337,plain,
n0 != n13,
inference(cnf_transformation,[],[f3]) ).
fof(f504,plain,
~ spl32_12,
inference(avatar_split_clause,[],[f336,f501]) ).
fof(f501,plain,
( spl32_12
<=> n0 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_12])]) ).
fof(f336,plain,
n0 != n12,
inference(cnf_transformation,[],[f3]) ).
fof(f499,plain,
~ spl32_11,
inference(avatar_split_clause,[],[f335,f496]) ).
fof(f496,plain,
( spl32_11
<=> n0 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_11])]) ).
fof(f335,plain,
n0 != n11,
inference(cnf_transformation,[],[f3]) ).
fof(f494,plain,
~ spl32_10,
inference(avatar_split_clause,[],[f334,f491]) ).
fof(f491,plain,
( spl32_10
<=> n0 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_10])]) ).
fof(f334,plain,
n0 != n10,
inference(cnf_transformation,[],[f3]) ).
fof(f489,plain,
~ spl32_9,
inference(avatar_split_clause,[],[f333,f486]) ).
fof(f486,plain,
( spl32_9
<=> n0 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_9])]) ).
fof(f333,plain,
n0 != n9,
inference(cnf_transformation,[],[f3]) ).
fof(f484,plain,
~ spl32_8,
inference(avatar_split_clause,[],[f332,f481]) ).
fof(f481,plain,
( spl32_8
<=> n0 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_8])]) ).
fof(f332,plain,
n0 != n8,
inference(cnf_transformation,[],[f3]) ).
fof(f479,plain,
~ spl32_7,
inference(avatar_split_clause,[],[f331,f476]) ).
fof(f476,plain,
( spl32_7
<=> n0 = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_7])]) ).
fof(f331,plain,
n0 != n7,
inference(cnf_transformation,[],[f3]) ).
fof(f474,plain,
~ spl32_6,
inference(avatar_split_clause,[],[f330,f471]) ).
fof(f471,plain,
( spl32_6
<=> n0 = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_6])]) ).
fof(f330,plain,
n0 != n6,
inference(cnf_transformation,[],[f3]) ).
fof(f469,plain,
~ spl32_5,
inference(avatar_split_clause,[],[f329,f466]) ).
fof(f466,plain,
( spl32_5
<=> n0 = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_5])]) ).
fof(f329,plain,
n0 != n5,
inference(cnf_transformation,[],[f3]) ).
fof(f464,plain,
~ spl32_4,
inference(avatar_split_clause,[],[f328,f461]) ).
fof(f461,plain,
( spl32_4
<=> n0 = n4 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_4])]) ).
fof(f328,plain,
n0 != n4,
inference(cnf_transformation,[],[f3]) ).
fof(f459,plain,
~ spl32_3,
inference(avatar_split_clause,[],[f327,f456]) ).
fof(f456,plain,
( spl32_3
<=> n0 = n3 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_3])]) ).
fof(f327,plain,
n0 != n3,
inference(cnf_transformation,[],[f3]) ).
fof(f454,plain,
~ spl32_2,
inference(avatar_split_clause,[],[f326,f451]) ).
fof(f451,plain,
( spl32_2
<=> n0 = n2 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_2])]) ).
fof(f326,plain,
n0 != n2,
inference(cnf_transformation,[],[f3]) ).
fof(f449,plain,
~ spl32_1,
inference(avatar_split_clause,[],[f325,f446]) ).
fof(f446,plain,
( spl32_1
<=> n0 = n1 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_1])]) ).
fof(f325,plain,
n0 != n1,
inference(cnf_transformation,[],[f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM377+1.015 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 30 15:05:07 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.40 % (28638)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.41 % (28641)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)
% 0.18/0.41 % (28642)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.18/0.41 % (28643)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)
% 0.18/0.41 % (28640)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.18/0.41 % (28644)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)
% 0.18/0.41 % (28645)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)
% 0.18/0.41 % (28639)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.18/0.43 Detected minimum model sizes of [16]
% 0.18/0.43 Detected maximum model sizes of [max]
% 0.18/0.43 Detected minimum model sizes of [16]
% 0.18/0.43 Detected maximum model sizes of [max]
% 0.18/0.44 TRYING [16]
% 0.18/0.44 TRYING [16]
% 5.71/1.26 % (28641)First to succeed.
% 5.71/1.28 % (28641)Refutation found. Thanks to Tanya!
% 5.71/1.28 % SZS status Unsatisfiable for Vampire---4
% 5.71/1.28 % SZS output start Proof for Vampire---4
% See solution above
% 5.71/1.29 % (28641)------------------------------
% 5.71/1.29 % (28641)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 5.71/1.29 % (28641)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 5.71/1.29 % (28641)Termination reason: Refutation
% 5.71/1.29
% 5.71/1.29 % (28641)Memory used [KB]: 7931
% 5.71/1.29 % (28641)Time elapsed: 0.865 s
% 5.71/1.29 % (28641)------------------------------
% 5.71/1.29 % (28641)------------------------------
% 5.71/1.29 % (28638)Success in time 0.936 s
% 5.71/1.29 % Vampire---4.8 exiting
%------------------------------------------------------------------------------