%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO551+1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 06:05:42 EDT 2024
% Result : Theorem 82.40s 82.43s
% Output : CNFRefutation 82.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO551+1 : TPTP v8.2.0. Released v7.5.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n017.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
% 0.12/0.34 % CPULimit : 300
% 0.19/0.34 % WCLimit : 300
% 0.19/0.34 % DateTime : Fri Jun 21 09:19:54 EDT 2024
% 0.19/0.34 % CPUTime :
% 0.55/0.61 start to proof:theBenchmark
% 82.33/82.41 %-------------------------------------------
% 82.33/82.41 % File :CSE---1.7
% 82.33/82.41 % Problem :theBenchmark
% 82.33/82.41 % Transform :cnf
% 82.33/82.41 % Format :tptp:raw
% 82.33/82.41 % Command :java -jar mcs_scs.jar %d %s
% 82.33/82.41
% 82.33/82.41 % Result :Theorem 81.720000s
% 82.33/82.41 % Output :CNFRefutation 81.720000s
% 82.33/82.41 %-------------------------------------------
% 82.40/82.43 %------------------------------------------------------------------------------
% 82.40/82.43 % File : GEO551+1 : TPTP v8.2.0. Released v7.5.0.
% 82.40/82.43 % Domain : Geometry
% 82.40/82.43 % Problem : JGEX problem 11
% 82.40/82.43 % Version : [CGZ00] axioms.
% 82.40/82.43 % English :
% 82.40/82.43
% 82.40/82.43 % Refs : [CGZ00] Chou et al. (2000), A Deductive Database Approach to A
% 82.40/82.43 % : [YCG08] Ye et al. (2008), An Introduction to Java Geometry Exp
% 82.40/82.43 % : [Qua20] Quaresma (2020), Email to Geoff Sutcliffe
% 82.40/82.43 % Source : [Qua20]
% 82.40/82.43 % Names : 11.p [Qua20]
% 82.40/82.43
% 82.40/82.43 % Status : Theorem
% 82.40/82.43 % Rating : 0.33 v8.2.0, 0.36 v8.1.0, 0.39 v7.5.0
% 82.40/82.43 % Syntax : Number of formulae : 95 ( 0 unt; 0 def)
% 82.40/82.43 % Number of atoms : 289 ( 1 equ)
% 82.40/82.43 % Maximal formula atoms : 8 ( 3 avg)
% 82.40/82.43 % Number of connectives : 201 ( 7 ~; 0 |; 99 &)
% 82.40/82.43 % ( 0 <=>; 95 =>; 0 <=; 0 <~>)
% 82.40/82.43 % Maximal formula depth : 15 ( 9 avg)
% 82.40/82.43 % Maximal term depth : 1 ( 1 avg)
% 82.40/82.43 % Number of predicates : 12 ( 11 usr; 0 prp; 2-8 aty)
% 82.40/82.43 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 82.40/82.43 % Number of variables : 529 ( 509 !; 20 ?)
% 82.40/82.43 % SPC : FOF_THM_RFO_SEQ
% 82.40/82.43
% 82.40/82.43 % Comments : Taken from JGEX [YCG08], converted by Pedro Quaresma.
% 82.40/82.43 %------------------------------------------------------------------------------
% 82.40/82.43 include('Axioms/GEO012+0.ax').
% 82.40/82.43 %------------------------------------------------------------------------------
% 82.40/82.43 fof(exemplo6GDDFULL012011,conjecture,
% 82.40/82.43 ! [A,B,C,D,L,M,N] :
% 82.40/82.43 ( ( perp(D,A,B,C)
% 82.40/82.43 & coll(D,B,C)
% 82.40/82.43 & midp(L,A,B)
% 82.40/82.43 & midp(M,C,B)
% 82.40/82.43 & midp(N,A,C) )
% 82.40/82.43 => cyclic(L,D,M,N) ) ).
% 82.40/82.43
% 82.40/82.43 %------------------------------------------------------------------------------
% 82.40/82.43 %-------------------------------------------
% 82.40/82.43 % Proof found
% 82.40/82.43 % SZS status Theorem for theBenchmark
% 82.40/82.43 % SZS output start Proof
% 82.40/82.44 %ClaNum:260(EqnAxiom:141)
% 82.40/82.44 %VarNum:1613(SingletonVarNum:590)
% 82.40/82.44 %MaxLitNum:5
% 82.40/82.44 %MaxfuncDepth:1
% 82.40/82.44 %SharedTerms:13
% 82.40/82.44 %goalClause: 142 143 144 145 146 147
% 82.40/82.44 %singleGoalClaCount:6
% 82.40/82.44 [142]P1(a1,a2,a16)
% 82.40/82.44 [143]P3(a17,a3,a2)
% 82.40/82.44 [144]P3(a18,a16,a2)
% 82.40/82.44 [145]P3(a19,a3,a16)
% 82.40/82.44 [146]P9(a1,a3,a2,a16)
% 82.40/82.44 [147]~P4(a17,a1,a18,a19)
% 82.40/82.44 [148]~P1(x1482,x1481,x1483)+P1(x1481,x1482,x1483)
% 82.40/82.44 [149]~P1(x1491,x1493,x1492)+P1(x1491,x1492,x1493)
% 82.40/82.44 [150]~P3(x1501,x1502,x1503)+P1(x1501,x1502,x1503)
% 82.40/82.44 [151]~P3(x1511,x1513,x1512)+P3(x1511,x1512,x1513)
% 82.40/82.44 [153]~P3(x1531,x1532,x1533)+P5(x1531,x1532,x1531,x1533)
% 82.40/82.44 [157]~P10(x1571,x1572,x1571,x1573)+P1(x1571,x1572,x1573)
% 82.40/82.44 [223]~P5(x2231,x2232,x2231,x2233)+P8(x2231,x2232,x2232,x2233,x2232,x2233,x2231,x2233)
% 82.40/82.44 [160]~P10(x1603,x1604,x1601,x1602)+P10(x1601,x1602,x1603,x1604)
% 82.40/82.44 [161]~P10(x1611,x1612,x1614,x1613)+P10(x1611,x1612,x1613,x1614)
% 82.40/82.44 [162]~P9(x1623,x1624,x1621,x1622)+P9(x1621,x1622,x1623,x1624)
% 82.40/82.44 [163]~P9(x1631,x1632,x1634,x1633)+P9(x1631,x1632,x1633,x1634)
% 82.40/82.44 [164]~P5(x1643,x1644,x1641,x1642)+P5(x1641,x1642,x1643,x1644)
% 82.40/82.44 [165]~P5(x1651,x1652,x1654,x1653)+P5(x1651,x1652,x1653,x1654)
% 82.40/82.44 [166]~P4(x1662,x1661,x1663,x1664)+P4(x1661,x1662,x1663,x1664)
% 82.40/82.44 [167]~P4(x1671,x1673,x1672,x1674)+P4(x1671,x1672,x1673,x1674)
% 82.40/82.44 [168]~P4(x1681,x1682,x1684,x1683)+P4(x1681,x1682,x1683,x1684)
% 82.40/82.44 [221]~P4(x2212,x2213,x2211,x2214)+P8(x2211,x2212,x2211,x2213,x2214,x2212,x2214,x2213)
% 82.40/82.44 [184]~P2(x1844,x1841,x1842,x1843)+P9(f8(x1841,x1842,x1843,x1844),x1841,x1841,x1844)
% 82.40/82.44 [199]P5(x1991,x1992,x1993,x1994)+~P6(x1991,x1992,x1995,x1993,x1994,x1996)
% 82.40/82.45 [211]~P11(x2114,x2115,x2116,x2111,x2112,x2113)+P11(x2111,x2112,x2113,x2114,x2115,x2116)
% 82.40/82.45 [212]~P11(x2122,x2121,x2123,x2125,x2124,x2126)+P11(x2121,x2122,x2123,x2124,x2125,x2126)
% 82.40/82.45 [213]~P11(x2131,x2133,x2132,x2134,x2136,x2135)+P11(x2131,x2132,x2133,x2134,x2135,x2136)
% 82.40/82.45 [214]~P6(x2144,x2145,x2146,x2141,x2142,x2143)+P6(x2141,x2142,x2143,x2144,x2145,x2146)
% 82.40/82.45 [215]~P6(x2152,x2151,x2153,x2155,x2154,x2156)+P6(x2151,x2152,x2153,x2154,x2155,x2156)
% 82.40/82.45 [216]~P6(x2161,x2163,x2162,x2164,x2166,x2165)+P6(x2161,x2162,x2163,x2164,x2165,x2166)
% 82.40/82.45 [222]~P10(x2221,x2222,x2225,x2226)+P8(x2221,x2222,x2223,x2224,x2225,x2226,x2223,x2224)
% 82.40/82.45 [228]~P11(x2281,x2282,x2283,x2284,x2285,x2286)+P8(x2281,x2282,x2282,x2283,x2284,x2285,x2285,x2286)
% 82.40/82.45 [229]~P11(x2291,x2292,x2293,x2294,x2295,x2296)+P7(x2291,x2292,x2291,x2293,x2294,x2295,x2294,x2296)
% 82.40/82.45 [230]~P8(x2301,x2302,x2305,x2306,x2303,x2304,x2305,x2306)+P10(x2301,x2302,x2303,x2304)
% 82.40/82.45 [249]~P8(x2495,x2496,x2497,x2498,x2491,x2492,x2493,x2494)+P8(x2491,x2492,x2493,x2494,x2495,x2496,x2497,x2498)
% 82.40/82.45 [250]~P8(x2503,x2504,x2501,x2502,x2507,x2508,x2505,x2506)+P8(x2501,x2502,x2503,x2504,x2505,x2506,x2507,x2508)
% 82.40/82.45 [251]~P8(x2512,x2511,x2513,x2514,x2515,x2516,x2517,x2518)+P8(x2511,x2512,x2513,x2514,x2515,x2516,x2517,x2518)
% 82.40/82.45 [252]~P8(x2521,x2522,x2525,x2526,x2523,x2524,x2527,x2528)+P8(x2521,x2522,x2523,x2524,x2525,x2526,x2527,x2528)
% 82.40/82.45 [253]~P7(x2535,x2536,x2537,x2538,x2531,x2532,x2533,x2534)+P7(x2531,x2532,x2533,x2534,x2535,x2536,x2537,x2538)
% 82.40/82.45 [254]~P7(x2543,x2544,x2541,x2542,x2547,x2548,x2545,x2546)+P7(x2541,x2542,x2543,x2544,x2545,x2546,x2547,x2548)
% 82.40/82.45 [255]~P7(x2552,x2551,x2553,x2554,x2555,x2556,x2557,x2558)+P7(x2551,x2552,x2553,x2554,x2555,x2556,x2557,x2558)
% 82.40/82.45 [256]~P7(x2561,x2562,x2565,x2566,x2563,x2564,x2567,x2568)+P7(x2561,x2562,x2563,x2564,x2565,x2566,x2567,x2568)
% 82.40/82.45 [158]~P1(x1581,x1582,x1583)+~P5(x1581,x1582,x1581,x1583)+P3(x1581,x1582,x1583)
% 82.40/82.45 [232]P5(x2321,x2322,x2321,x2323)+~P8(x2321,x2322,x2322,x2323,x2322,x2323,x2321,x2323)+P1(x2321,x2322,x2323)
% 82.40/82.45 [173]~P9(x1731,x1732,x1732,x1733)+~P5(x1732,x1731,x1732,x1733)+P1(x1731,x1732,f4(x1731,x1733,x1732))
% 82.40/82.45 [185]~P9(x1852,x1851,x1851,x1853)+~P5(x1851,x1852,x1851,x1853)+P5(x1851,x1852,x1851,f4(x1852,x1853,x1851))
% 82.40/82.45 [152]~P1(x1523,x1524,x1521)+P1(x1521,x1522,x1523)+~P1(x1523,x1524,x1522)
% 82.40/82.45 [169]~P2(x1694,x1691,x1692,x1693)+P9(x1691,x1692,x1692,x1693)+~P1(x1694,x1691,x1693)
% 82.40/82.45 [170]~P9(x1701,x1704,x1702,x1703)+P5(x1701,x1702,x1701,x1703)+~P3(x1704,x1702,x1703)
% 82.40/82.45 [171]~P9(x1711,x1713,x1713,x1714)+P5(x1711,x1712,x1713,x1712)+~P3(x1712,x1711,x1714)
% 82.40/82.45 [178]~P5(x1781,x1784,x1782,x1784)+~P5(x1781,x1783,x1782,x1783)+P9(x1781,x1782,x1783,x1784)
% 82.40/82.45 [181]~P5(x1811,x1812,x1811,x1814)+~P5(x1811,x1812,x1811,x1813)+P2(x1811,x1812,x1813,x1814)
% 82.40/82.45 [227]~P10(x2271,x2274,x2273,x2272)+~P4(x2271,x2274,x2273,x2272)+P8(x2271,x2272,x2273,x2272,x2273,x2272,x2273,x2274)
% 82.40/82.45 [231]~P8(x2311,x2313,x2311,x2314,x2312,x2313,x2312,x2314)+P1(x2311,x2312,x2313)+P4(x2313,x2314,x2311,x2312)
% 82.40/82.45 [233]~P1(x2333,x2334,x2332)+~P8(x2333,x2331,x2333,x2332,x2334,x2331,x2334,x2332)+P4(x2331,x2332,x2333,x2334)
% 82.40/82.45 [235]P9(x2351,x2352,x2353,x2354)+~P8(x2351,x2352,x2353,x2354,x2353,x2354,x2351,x2352)+P10(x2351,x2352,x2353,x2354)
% 82.40/82.45 [174]~P9(x1741,x1744,x1742,x1743)+~P9(x1742,x1744,x1741,x1743)+P1(f5(x1741,x1742,x1743),x1743,x1742)
% 82.40/82.45 [175]~P9(x1751,x1754,x1752,x1753)+~P9(x1752,x1754,x1751,x1753)+P1(f6(x1751,x1752,x1753),x1753,x1751)
% 82.40/82.45 [186]~P9(x1861,x1864,x1862,x1863)+~P9(x1862,x1864,x1861,x1863)+P9(x1861,f5(x1861,x1862,x1863),x1863,x1862)
% 82.40/82.45 [187]~P9(x1871,x1874,x1872,x1873)+~P9(x1872,x1874,x1871,x1873)+P9(x1871,f6(x1872,x1871,x1873),x1873,x1872)
% 82.40/82.45 [188]~P9(x1881,x1883,x1883,x1882)+~P4(x1881,x1882,x1883,x1884)+P2(f9(x1881,x1882,x1883),x1881,x1882,x1883)
% 82.40/82.45 [190]~P9(x1903,x1904,x1902,x1901)+~P5(x1903,x1902,x1903,x1901)+P1(x1901,x1902,f21(x1902,x1901,x1903,x1904))
% 82.40/82.45 [191]~P9(x1913,x1914,x1911,x1912)+~P5(x1913,x1911,x1913,x1912)+P1(f21(x1911,x1912,x1913,x1914),x1913,x1914)
% 82.40/82.45 [242]~P5(x2423,x2422,x2423,x2421)+~P8(x2422,x2423,x2423,x2424,x2423,x2424,x2423,x2421)+P1(x2421,x2422,f22(x2422,x2421,x2423,x2424))
% 82.40/82.45 [243]~P9(x2433,x2434,x2432,x2431)+~P8(x2432,x2433,x2433,x2434,x2433,x2434,x2433,x2431)+P1(x2431,x2432,f23(x2432,x2431,x2433,x2434))
% 82.40/82.45 [244]~P9(x2443,x2442,x2442,x2441)+~P8(x2444,x2443,x2442,x2443,x2442,x2443,x2441,x2443)+P1(f15(x2441,x2442,x2443,x2444),x2443,x2444)
% 82.40/82.45 [245]~P9(x2453,x2452,x2452,x2451)+~P8(x2454,x2453,x2452,x2453,x2452,x2453,x2451,x2453)+P1(f15(x2451,x2452,x2453,x2454),x2451,x2452)
% 82.40/82.45 [246]~P5(x2463,x2461,x2463,x2462)+~P8(x2461,x2463,x2463,x2464,x2463,x2464,x2463,x2462)+P1(f22(x2461,x2462,x2463,x2464),x2463,x2464)
% 82.40/82.45 [247]~P9(x2473,x2474,x2471,x2472)+~P8(x2471,x2473,x2473,x2474,x2473,x2474,x2473,x2472)+P1(f23(x2471,x2472,x2473,x2474),x2473,x2474)
% 82.40/82.45 [154]~P3(x1545,x1541,x1543)+P10(x1541,x1542,x1543,x1544)+~P3(x1545,x1542,x1544)
% 82.40/82.45 [155]~P3(x1551,x1555,x1553)+P10(x1551,x1552,x1553,x1554)+~P3(x1552,x1555,x1554)
% 82.40/82.45 [182]~P4(x1825,x1821,x1822,x1823)+P4(x1821,x1822,x1823,x1824)+~P4(x1825,x1821,x1822,x1824)
% 82.40/82.45 [224]~P3(x2245,x2242,x2243)+~P2(x2244,x2241,x2242,x2243)+P8(x2241,x2242,x2241,x2243,x2244,x2242,x2244,x2245)
% 82.40/82.45 [226]~P2(x2265,x2261,x2263,x2264)+P8(x2261,x2262,x2261,x2263,x2264,x2261,x2264,x2263)+~P9(x2265,x2261,x2261,x2262)
% 82.40/82.45 [239]~P8(x2392,x2393,x2392,x2394,x2395,x2392,x2395,x2394)+P9(x2391,x2392,x2392,x2393)+~P2(x2391,x2392,x2394,x2395)
% 82.40/82.45 [194]~P1(x1942,x1944,x1945)+~P9(x1941,x1943,x1943,x1942)+P1(f13(x1941,x1942,x1943,x1944,x1945),x1944,x1945)
% 82.40/82.45 [195]~P1(x1952,x1954,x1955)+~P9(x1951,x1953,x1953,x1952)+P9(f13(x1951,x1952,x1953,x1954,x1955),x1951,x1954,x1955)
% 82.40/82.45 [196]~P9(x1963,x1964,x1964,x1961)+~P5(x1961,x1962,x1961,x1965)+P5(x1961,x1962,x1961,f26(x1963,x1964,x1962,x1965,x1961))
% 82.40/82.45 [197]~P9(x1973,x1971,x1971,x1975)+~P5(x1975,x1972,x1975,x1974)+P5(x1971,x1972,x1971,f26(x1973,x1971,x1972,x1974,x1975))
% 82.40/82.45 [198]~P9(x1981,x1982,x1982,x1985)+~P5(x1985,x1983,x1985,x1984)+P10(f26(x1981,x1982,x1983,x1984,x1985),x1983,x1981,x1982)
% 82.40/82.45 [241]~P8(x2411,x2413,x2412,x2413,x2411,x2414,x2412,x2415)+P1(x2411,x2412,x2413)+P4(x2414,x2412,x2413,f25(x2411,x2412,x2413,x2414))
% 82.40/82.45 [257]~P8(x2571,x2573,x2572,x2573,x2571,x2574,x2572,x2575)+P1(x2571,x2572,x2573)+P8(x2571,x2573,x2572,x2573,x2571,f25(x2571,x2572,x2573,x2574),x2572,f25(x2571,x2572,x2573,x2574))
% 82.40/82.45 [176]~P10(x1761,x1762,x1765,x1766)+P10(x1761,x1762,x1763,x1764)+~P10(x1765,x1766,x1763,x1764)
% 82.40/82.45 [177]~P9(x1771,x1772,x1775,x1776)+P10(x1771,x1772,x1773,x1774)+~P9(x1775,x1776,x1773,x1774)
% 82.40/82.45 [179]~P9(x1795,x1796,x1793,x1794)+P9(x1791,x1792,x1793,x1794)+~P10(x1791,x1792,x1795,x1796)
% 82.40/82.45 [180]~P5(x1801,x1802,x1805,x1806)+P5(x1801,x1802,x1803,x1804)+~P5(x1805,x1806,x1803,x1804)
% 82.40/82.45 [217]~P5(x2171,x2172,x2174,x2175)+~P11(x2171,x2172,x2173,x2174,x2175,x2176)+P6(x2171,x2172,x2173,x2174,x2175,x2176)
% 82.40/82.45 [220]~P3(x2204,x2205,x2206)+~P3(x2201,x2202,x2203)+P7(x2201,x2202,x2202,x2203,x2204,x2205,x2205,x2206)
% 82.40/82.45 [200]~P3(x2006,x2003,x2004)+~P3(x2005,x2001,x2002)+P3(f24(x2001,x2002,x2003,x2004,x2005,x2006),x2001,x2004)
% 82.40/82.45 [201]~P3(x2016,x2013,x2014)+~P3(x2015,x2011,x2012)+P10(f24(x2011,x2012,x2013,x2014,x2015,x2016),x2016,x2011,x2013)
% 82.40/82.45 [202]~P3(x2026,x2023,x2024)+~P3(x2025,x2021,x2022)+P10(f24(x2021,x2022,x2023,x2024,x2025,x2026),x2025,x2022,x2024)
% 82.40/82.45 [237]~P8(x2371,x2372,x2373,x2374,x2375,x2376,x2377,x2378)+P10(x2371,x2372,x2373,x2374)+~P10(x2375,x2376,x2377,x2378)
% 82.40/82.45 [238]~P8(x2381,x2382,x2383,x2384,x2385,x2386,x2387,x2388)+P9(x2381,x2382,x2383,x2384)+~P9(x2385,x2386,x2387,x2388)
% 82.40/82.45 [240]~P7(x2401,x2402,x2403,x2404,x2405,x2406,x2407,x2408)+P5(x2401,x2402,x2403,x2404)+~P5(x2405,x2406,x2407,x2408)
% 82.40/82.45 [218]~P11(x2181,x2182,x2183,x2187,x2188,x2189)+P11(x2181,x2182,x2183,x2184,x2185,x2186)+~P11(x2187,x2188,x2189,x2184,x2185,x2186)
% 82.40/82.45 [219]~P6(x2191,x2192,x2193,x2197,x2198,x2199)+P6(x2191,x2192,x2193,x2194,x2195,x2196)+~P6(x2197,x2198,x2199,x2194,x2195,x2196)
% 82.40/82.45 [259]~P8(x2591,x2592,x2593,x2594,x2599,x25910,x25911,x25912)+P8(x2591,x2592,x2593,x2594,x2595,x2596,x2597,x2598)+~P8(x2599,x25910,x25911,x25912,x2595,x2596,x2597,x2598)
% 82.40/82.45 [260]~P7(x2601,x2602,x2603,x2604,x2609,x26010,x26011,x26012)+P7(x2601,x2602,x2603,x2604,x2605,x2606,x2607,x2608)+~P7(x2609,x26010,x26011,x26012,x2605,x2606,x2607,x2608)
% 82.40/82.45 [192]~P5(x1922,x1921,x1924,x1921)+~P4(x1922,x1924,x1921,x1923)+P9(x1921,x1922,x1922,x1923)+~P5(x1922,x1923,x1924,x1923)
% 82.40/82.45 [159]~P1(x1591,x1592,x1593)+~P10(x1594,x1591,x1595,x1593)+P3(x1591,x1592,x1593)+~P3(x1594,x1592,x1595)
% 82.40/82.45 [172]~P10(x1724,x1723,x1725,x1722)+~P10(x1724,x1722,x1725,x1723)+P3(x1721,x1722,x1723)+~P3(x1721,x1724,x1725)
% 82.40/82.45 [193]~P5(x1935,x1931,x1935,x1933)+~P5(x1935,x1931,x1935,x1932)+P4(x1931,x1932,x1933,x1934)+~P5(x1935,x1931,x1935,x1934)
% 82.40/82.45 [225]~P1(x2251,x2254,x2255)+~P1(x2251,x2252,x2253)+~P10(x2252,x2254,x2253,x2255)+P7(x2251,x2252,x2252,x2253,x2251,x2254,x2254,x2255)
% 82.40/82.45 [236]~P1(x2361,x2362,x2363)+~P8(x2365,x2362,x2365,x2363,x2364,x2362,x2364,x2361)+P3(x2361,x2362,x2363)+~P2(x2364,x2365,x2362,x2363)
% 82.40/82.45 [183]~P9(x1833,x1831,x1833,x1835)+~P9(x1831,x1832,x1831,x1833)+~P3(x1834,x1832,x1835)+P3(f7(x1831,x1832,x1833),x1831,x1833)
% 82.40/82.45 [189]~P4(x1891,x1892,x1893,x1895)+~P10(x1891,x1892,x1893,x1895)+~P3(x1894,x1891,x1892)+P2(f10(x1891,x1892,x1893),x1891,x1892,x1893)
% 82.40/82.45 [258]~P8(x2581,x2583,x2582,x2583,x2584,x2586,x2585,x2586)+~P8(x2581,x2582,x2582,x2583,x2584,x2585,x2585,x2586)+P1(x2581,x2582,x2583)+P11(x2581,x2582,x2583,x2584,x2585,x2586)
% 82.40/82.45 [248]~P4(x2481,x2482,x2485,x2484)+~P4(x2481,x2482,x2485,x2483)+~P8(x2485,x2481,x2485,x2482,x2486,x2483,x2486,x2484)+P5(x2481,x2482,x2483,x2484)+~P4(x2481,x2482,x2485,x2486)
% 82.40/82.45 [203]~P1(x2032,x2033,x2034)+~P1(x2031,x2034,x2036)+~P1(x2031,x2033,x2035)+~P10(x2033,x2034,x2035,x2036)+P1(x2031,x2032,f14(x2033,x2034,x2035,x2036,x2031,x2032))
% 82.40/82.45 [204]~P1(x2046,x2041,x2042)+~P1(x2045,x2042,x2044)+~P1(x2045,x2041,x2043)+~P10(x2041,x2042,x2043,x2044)+P1(f14(x2041,x2042,x2043,x2044,x2045,x2046),x2043,x2044)
% 82.40/82.45 [205]~P1(x2053,x2054,x2055)+~P3(x2056,x2051,x2052)+~P10(x2051,x2053,x2055,x2056)+~P10(x2051,x2053,x2052,x2054)+P1(f27(x2051,x2052,x2053,x2054,x2055,x2056),x2056,x2055)
% 82.40/82.45 [206]~P1(x2063,x2064,x2065)+~P3(x2066,x2061,x2062)+~P10(x2061,x2063,x2065,x2066)+~P10(x2061,x2063,x2062,x2064)+P1(f27(x2061,x2062,x2063,x2064,x2065,x2066),x2061,x2064)
% 82.40/82.45 [207]~P5(x2072,x2073,x2072,x2074)+~P5(x2071,x2073,x2071,x2076)+~P2(x2071,x2073,x2074,x2075)+E(x2071,x2072)+P1(f11(x2073,x2074,x2075,x2076,x2071,x2072),x2073,x2075)
% 82.40/82.45 [208]~P5(x2082,x2083,x2082,x2084)+~P5(x2081,x2083,x2081,x2086)+~P2(x2081,x2083,x2084,x2085)+E(x2081,x2082)+P1(f12(x2083,x2084,x2085,x2086,x2081,x2082),x2084,x2086)
% 82.40/82.45 [209]~P5(x2092,x2093,x2092,x2094)+~P5(x2091,x2093,x2091,x2096)+~P2(x2091,x2093,x2094,x2095)+E(x2091,x2092)+P5(f11(x2093,x2094,x2095,x2096,x2091,x2092),x2092,x2092,x2093)
% 82.40/82.45 [210]~P5(x2102,x2103,x2102,x2104)+~P5(x2101,x2103,x2101,x2106)+~P2(x2101,x2103,x2104,x2105)+E(x2101,x2102)+P5(f12(x2103,x2104,x2105,x2106,x2101,x2102),x2102,x2102,x2103)
% 82.40/82.45 [156]~P1(x1563,x1561,x1564)+~P1(x1565,x1561,x1564)+~P3(x1566,x1565,x1563)+~P3(x1567,x1561,x1564)+P3(f20(x1561,x1562),x1561,x1562)
% 82.40/82.45 %EqnAxiom
% 82.40/82.45 [1]E(x11,x11)
% 82.40/82.45 [2]E(x22,x21)+~E(x21,x22)
% 82.40/82.45 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 82.40/82.45 [4]~E(x41,x42)+E(f20(x41,x43),f20(x42,x43))
% 82.40/82.45 [5]~E(x51,x52)+E(f20(x53,x51),f20(x53,x52))
% 82.40/82.45 [6]~E(x61,x62)+E(f4(x61,x63,x64),f4(x62,x63,x64))
% 82.40/82.45 [7]~E(x71,x72)+E(f4(x73,x71,x74),f4(x73,x72,x74))
% 82.40/82.45 [8]~E(x81,x82)+E(f4(x83,x84,x81),f4(x83,x84,x82))
% 82.40/82.45 [9]~E(x91,x92)+E(f5(x91,x93,x94),f5(x92,x93,x94))
% 82.40/82.45 [10]~E(x101,x102)+E(f5(x103,x101,x104),f5(x103,x102,x104))
% 82.40/82.45 [11]~E(x111,x112)+E(f5(x113,x114,x111),f5(x113,x114,x112))
% 82.40/82.45 [12]~E(x121,x122)+E(f6(x121,x123,x124),f6(x122,x123,x124))
% 82.40/82.45 [13]~E(x131,x132)+E(f6(x133,x131,x134),f6(x133,x132,x134))
% 82.40/82.45 [14]~E(x141,x142)+E(f6(x143,x144,x141),f6(x143,x144,x142))
% 82.40/82.45 [15]~E(x151,x152)+E(f7(x151,x153,x154),f7(x152,x153,x154))
% 82.40/82.45 [16]~E(x161,x162)+E(f7(x163,x161,x164),f7(x163,x162,x164))
% 82.40/82.45 [17]~E(x171,x172)+E(f7(x173,x174,x171),f7(x173,x174,x172))
% 82.40/82.45 [18]~E(x181,x182)+E(f8(x181,x183,x184,x185),f8(x182,x183,x184,x185))
% 82.40/82.45 [19]~E(x191,x192)+E(f8(x193,x191,x194,x195),f8(x193,x192,x194,x195))
% 82.40/82.45 [20]~E(x201,x202)+E(f8(x203,x204,x201,x205),f8(x203,x204,x202,x205))
% 82.40/82.45 [21]~E(x211,x212)+E(f8(x213,x214,x215,x211),f8(x213,x214,x215,x212))
% 82.40/82.45 [22]~E(x221,x222)+E(f25(x221,x223,x224,x225),f25(x222,x223,x224,x225))
% 82.40/82.45 [23]~E(x231,x232)+E(f25(x233,x231,x234,x235),f25(x233,x232,x234,x235))
% 82.40/82.45 [24]~E(x241,x242)+E(f25(x243,x244,x241,x245),f25(x243,x244,x242,x245))
% 82.40/82.45 [25]~E(x251,x252)+E(f25(x253,x254,x255,x251),f25(x253,x254,x255,x252))
% 82.40/82.45 [26]~E(x261,x262)+E(f22(x261,x263,x264,x265),f22(x262,x263,x264,x265))
% 82.40/82.45 [27]~E(x271,x272)+E(f22(x273,x271,x274,x275),f22(x273,x272,x274,x275))
% 82.40/82.45 [28]~E(x281,x282)+E(f22(x283,x284,x281,x285),f22(x283,x284,x282,x285))
% 82.40/82.45 [29]~E(x291,x292)+E(f22(x293,x294,x295,x291),f22(x293,x294,x295,x292))
% 82.40/82.45 [30]~E(x301,x302)+E(f23(x301,x303,x304,x305),f23(x302,x303,x304,x305))
% 82.40/82.45 [31]~E(x311,x312)+E(f23(x313,x311,x314,x315),f23(x313,x312,x314,x315))
% 82.40/82.45 [32]~E(x321,x322)+E(f23(x323,x324,x321,x325),f23(x323,x324,x322,x325))
% 82.40/82.45 [33]~E(x331,x332)+E(f23(x333,x334,x335,x331),f23(x333,x334,x335,x332))
% 82.40/82.45 [34]~E(x341,x342)+E(f9(x341,x343,x344),f9(x342,x343,x344))
% 82.40/82.45 [35]~E(x351,x352)+E(f9(x353,x351,x354),f9(x353,x352,x354))
% 82.40/82.45 [36]~E(x361,x362)+E(f9(x363,x364,x361),f9(x363,x364,x362))
% 82.40/82.45 [37]~E(x371,x372)+E(f10(x371,x373,x374),f10(x372,x373,x374))
% 82.40/82.45 [38]~E(x381,x382)+E(f10(x383,x381,x384),f10(x383,x382,x384))
% 82.40/82.45 [39]~E(x391,x392)+E(f10(x393,x394,x391),f10(x393,x394,x392))
% 82.40/82.45 [40]~E(x401,x402)+E(f21(x401,x403,x404,x405),f21(x402,x403,x404,x405))
% 82.40/82.45 [41]~E(x411,x412)+E(f21(x413,x411,x414,x415),f21(x413,x412,x414,x415))
% 82.40/82.45 [42]~E(x421,x422)+E(f21(x423,x424,x421,x425),f21(x423,x424,x422,x425))
% 82.40/82.45 [43]~E(x431,x432)+E(f21(x433,x434,x435,x431),f21(x433,x434,x435,x432))
% 82.40/82.45 [44]~E(x441,x442)+E(f15(x441,x443,x444,x445),f15(x442,x443,x444,x445))
% 82.40/82.45 [45]~E(x451,x452)+E(f15(x453,x451,x454,x455),f15(x453,x452,x454,x455))
% 82.40/82.45 [46]~E(x461,x462)+E(f15(x463,x464,x461,x465),f15(x463,x464,x462,x465))
% 82.40/82.45 [47]~E(x471,x472)+E(f15(x473,x474,x475,x471),f15(x473,x474,x475,x472))
% 82.40/82.45 [48]~E(x481,x482)+E(f13(x481,x483,x484,x485,x486),f13(x482,x483,x484,x485,x486))
% 82.40/82.45 [49]~E(x491,x492)+E(f13(x493,x491,x494,x495,x496),f13(x493,x492,x494,x495,x496))
% 82.40/82.45 [50]~E(x501,x502)+E(f13(x503,x504,x501,x505,x506),f13(x503,x504,x502,x505,x506))
% 82.40/82.45 [51]~E(x511,x512)+E(f13(x513,x514,x515,x511,x516),f13(x513,x514,x515,x512,x516))
% 82.40/82.45 [52]~E(x521,x522)+E(f13(x523,x524,x525,x526,x521),f13(x523,x524,x525,x526,x522))
% 82.40/82.45 [53]~E(x531,x532)+E(f12(x531,x533,x534,x535,x536,x537),f12(x532,x533,x534,x535,x536,x537))
% 82.40/82.45 [54]~E(x541,x542)+E(f12(x543,x541,x544,x545,x546,x547),f12(x543,x542,x544,x545,x546,x547))
% 82.40/82.45 [55]~E(x551,x552)+E(f12(x553,x554,x551,x555,x556,x557),f12(x553,x554,x552,x555,x556,x557))
% 82.40/82.45 [56]~E(x561,x562)+E(f12(x563,x564,x565,x561,x566,x567),f12(x563,x564,x565,x562,x566,x567))
% 82.40/82.45 [57]~E(x571,x572)+E(f12(x573,x574,x575,x576,x571,x577),f12(x573,x574,x575,x576,x572,x577))
% 82.40/82.45 [58]~E(x581,x582)+E(f12(x583,x584,x585,x586,x587,x581),f12(x583,x584,x585,x586,x587,x582))
% 82.40/82.45 [59]~E(x591,x592)+E(f26(x591,x593,x594,x595,x596),f26(x592,x593,x594,x595,x596))
% 82.40/82.45 [60]~E(x601,x602)+E(f26(x603,x601,x604,x605,x606),f26(x603,x602,x604,x605,x606))
% 82.40/82.45 [61]~E(x611,x612)+E(f26(x613,x614,x611,x615,x616),f26(x613,x614,x612,x615,x616))
% 82.40/82.45 [62]~E(x621,x622)+E(f26(x623,x624,x625,x621,x626),f26(x623,x624,x625,x622,x626))
% 82.40/82.45 [63]~E(x631,x632)+E(f26(x633,x634,x635,x636,x631),f26(x633,x634,x635,x636,x632))
% 82.40/82.45 [64]~E(x641,x642)+E(f11(x641,x643,x644,x645,x646,x647),f11(x642,x643,x644,x645,x646,x647))
% 82.40/82.45 [65]~E(x651,x652)+E(f11(x653,x651,x654,x655,x656,x657),f11(x653,x652,x654,x655,x656,x657))
% 82.40/82.45 [66]~E(x661,x662)+E(f11(x663,x664,x661,x665,x666,x667),f11(x663,x664,x662,x665,x666,x667))
% 82.40/82.45 [67]~E(x671,x672)+E(f11(x673,x674,x675,x671,x676,x677),f11(x673,x674,x675,x672,x676,x677))
% 82.40/82.45 [68]~E(x681,x682)+E(f11(x683,x684,x685,x686,x681,x687),f11(x683,x684,x685,x686,x682,x687))
% 82.40/82.45 [69]~E(x691,x692)+E(f11(x693,x694,x695,x696,x697,x691),f11(x693,x694,x695,x696,x697,x692))
% 82.40/82.45 [70]~E(x701,x702)+E(f27(x701,x703,x704,x705,x706,x707),f27(x702,x703,x704,x705,x706,x707))
% 82.40/82.45 [71]~E(x711,x712)+E(f27(x713,x711,x714,x715,x716,x717),f27(x713,x712,x714,x715,x716,x717))
% 82.40/82.45 [72]~E(x721,x722)+E(f27(x723,x724,x721,x725,x726,x727),f27(x723,x724,x722,x725,x726,x727))
% 82.40/82.45 [73]~E(x731,x732)+E(f27(x733,x734,x735,x731,x736,x737),f27(x733,x734,x735,x732,x736,x737))
% 82.40/82.45 [74]~E(x741,x742)+E(f27(x743,x744,x745,x746,x741,x747),f27(x743,x744,x745,x746,x742,x747))
% 82.40/82.45 [75]~E(x751,x752)+E(f27(x753,x754,x755,x756,x757,x751),f27(x753,x754,x755,x756,x757,x752))
% 82.40/82.45 [76]~E(x761,x762)+E(f24(x761,x763,x764,x765,x766,x767),f24(x762,x763,x764,x765,x766,x767))
% 82.40/82.45 [77]~E(x771,x772)+E(f24(x773,x771,x774,x775,x776,x777),f24(x773,x772,x774,x775,x776,x777))
% 82.40/82.45 [78]~E(x781,x782)+E(f24(x783,x784,x781,x785,x786,x787),f24(x783,x784,x782,x785,x786,x787))
% 82.40/82.45 [79]~E(x791,x792)+E(f24(x793,x794,x795,x791,x796,x797),f24(x793,x794,x795,x792,x796,x797))
% 82.40/82.45 [80]~E(x801,x802)+E(f24(x803,x804,x805,x806,x801,x807),f24(x803,x804,x805,x806,x802,x807))
% 82.40/82.45 [81]~E(x811,x812)+E(f24(x813,x814,x815,x816,x817,x811),f24(x813,x814,x815,x816,x817,x812))
% 82.40/82.45 [82]~E(x821,x822)+E(f14(x821,x823,x824,x825,x826,x827),f14(x822,x823,x824,x825,x826,x827))
% 82.40/82.45 [83]~E(x831,x832)+E(f14(x833,x831,x834,x835,x836,x837),f14(x833,x832,x834,x835,x836,x837))
% 82.40/82.45 [84]~E(x841,x842)+E(f14(x843,x844,x841,x845,x846,x847),f14(x843,x844,x842,x845,x846,x847))
% 82.40/82.45 [85]~E(x851,x852)+E(f14(x853,x854,x855,x851,x856,x857),f14(x853,x854,x855,x852,x856,x857))
% 82.40/82.45 [86]~E(x861,x862)+E(f14(x863,x864,x865,x866,x861,x867),f14(x863,x864,x865,x866,x862,x867))
% 82.40/82.45 [87]~E(x871,x872)+E(f14(x873,x874,x875,x876,x877,x871),f14(x873,x874,x875,x876,x877,x872))
% 82.40/82.45 [88]P1(x882,x883,x884)+~E(x881,x882)+~P1(x881,x883,x884)
% 82.40/82.45 [89]P1(x893,x892,x894)+~E(x891,x892)+~P1(x893,x891,x894)
% 82.40/82.45 [90]P1(x903,x904,x902)+~E(x901,x902)+~P1(x903,x904,x901)
% 82.40/82.45 [91]P3(x912,x913,x914)+~E(x911,x912)+~P3(x911,x913,x914)
% 82.40/82.45 [92]P3(x923,x922,x924)+~E(x921,x922)+~P3(x923,x921,x924)
% 82.40/82.45 [93]P3(x933,x934,x932)+~E(x931,x932)+~P3(x933,x934,x931)
% 82.40/82.45 [94]P5(x942,x943,x944,x945)+~E(x941,x942)+~P5(x941,x943,x944,x945)
% 82.40/82.45 [95]P5(x953,x952,x954,x955)+~E(x951,x952)+~P5(x953,x951,x954,x955)
% 82.40/82.45 [96]P5(x963,x964,x962,x965)+~E(x961,x962)+~P5(x963,x964,x961,x965)
% 82.40/82.45 [97]P5(x973,x974,x975,x972)+~E(x971,x972)+~P5(x973,x974,x975,x971)
% 82.40/82.45 [98]P8(x982,x983,x984,x985,x986,x987,x988,x989)+~E(x981,x982)+~P8(x981,x983,x984,x985,x986,x987,x988,x989)
% 82.40/82.45 [99]P8(x993,x992,x994,x995,x996,x997,x998,x999)+~E(x991,x992)+~P8(x993,x991,x994,x995,x996,x997,x998,x999)
% 82.40/82.45 [100]P8(x1003,x1004,x1002,x1005,x1006,x1007,x1008,x1009)+~E(x1001,x1002)+~P8(x1003,x1004,x1001,x1005,x1006,x1007,x1008,x1009)
% 82.40/82.45 [101]P8(x1013,x1014,x1015,x1012,x1016,x1017,x1018,x1019)+~E(x1011,x1012)+~P8(x1013,x1014,x1015,x1011,x1016,x1017,x1018,x1019)
% 82.40/82.45 [102]P8(x1023,x1024,x1025,x1026,x1022,x1027,x1028,x1029)+~E(x1021,x1022)+~P8(x1023,x1024,x1025,x1026,x1021,x1027,x1028,x1029)
% 82.40/82.45 [103]P8(x1033,x1034,x1035,x1036,x1037,x1032,x1038,x1039)+~E(x1031,x1032)+~P8(x1033,x1034,x1035,x1036,x1037,x1031,x1038,x1039)
% 82.40/82.45 [104]P8(x1043,x1044,x1045,x1046,x1047,x1048,x1042,x1049)+~E(x1041,x1042)+~P8(x1043,x1044,x1045,x1046,x1047,x1048,x1041,x1049)
% 82.40/82.45 [105]P8(x1053,x1054,x1055,x1056,x1057,x1058,x1059,x1052)+~E(x1051,x1052)+~P8(x1053,x1054,x1055,x1056,x1057,x1058,x1059,x1051)
% 82.40/82.45 [106]P9(x1062,x1063,x1064,x1065)+~E(x1061,x1062)+~P9(x1061,x1063,x1064,x1065)
% 82.40/82.45 [107]P9(x1073,x1072,x1074,x1075)+~E(x1071,x1072)+~P9(x1073,x1071,x1074,x1075)
% 82.40/82.45 [108]P9(x1083,x1084,x1082,x1085)+~E(x1081,x1082)+~P9(x1083,x1084,x1081,x1085)
% 82.40/82.45 [109]P9(x1093,x1094,x1095,x1092)+~E(x1091,x1092)+~P9(x1093,x1094,x1095,x1091)
% 82.40/82.45 [110]P4(x1102,x1103,x1104,x1105)+~E(x1101,x1102)+~P4(x1101,x1103,x1104,x1105)
% 82.40/82.45 [111]P4(x1113,x1112,x1114,x1115)+~E(x1111,x1112)+~P4(x1113,x1111,x1114,x1115)
% 82.40/82.45 [112]P4(x1123,x1124,x1122,x1125)+~E(x1121,x1122)+~P4(x1123,x1124,x1121,x1125)
% 82.40/82.45 [113]P4(x1133,x1134,x1135,x1132)+~E(x1131,x1132)+~P4(x1133,x1134,x1135,x1131)
% 82.40/82.45 [114]P7(x1142,x1143,x1144,x1145,x1146,x1147,x1148,x1149)+~E(x1141,x1142)+~P7(x1141,x1143,x1144,x1145,x1146,x1147,x1148,x1149)
% 82.40/82.45 [115]P7(x1153,x1152,x1154,x1155,x1156,x1157,x1158,x1159)+~E(x1151,x1152)+~P7(x1153,x1151,x1154,x1155,x1156,x1157,x1158,x1159)
% 82.40/82.45 [116]P7(x1163,x1164,x1162,x1165,x1166,x1167,x1168,x1169)+~E(x1161,x1162)+~P7(x1163,x1164,x1161,x1165,x1166,x1167,x1168,x1169)
% 82.40/82.45 [117]P7(x1173,x1174,x1175,x1172,x1176,x1177,x1178,x1179)+~E(x1171,x1172)+~P7(x1173,x1174,x1175,x1171,x1176,x1177,x1178,x1179)
% 82.40/82.45 [118]P7(x1183,x1184,x1185,x1186,x1182,x1187,x1188,x1189)+~E(x1181,x1182)+~P7(x1183,x1184,x1185,x1186,x1181,x1187,x1188,x1189)
% 82.40/82.45 [119]P7(x1193,x1194,x1195,x1196,x1197,x1192,x1198,x1199)+~E(x1191,x1192)+~P7(x1193,x1194,x1195,x1196,x1197,x1191,x1198,x1199)
% 82.40/82.45 [120]P7(x1203,x1204,x1205,x1206,x1207,x1208,x1202,x1209)+~E(x1201,x1202)+~P7(x1203,x1204,x1205,x1206,x1207,x1208,x1201,x1209)
% 82.40/82.45 [121]P7(x1213,x1214,x1215,x1216,x1217,x1218,x1219,x1212)+~E(x1211,x1212)+~P7(x1213,x1214,x1215,x1216,x1217,x1218,x1219,x1211)
% 82.40/82.45 [122]P10(x1222,x1223,x1224,x1225)+~E(x1221,x1222)+~P10(x1221,x1223,x1224,x1225)
% 82.40/82.45 [123]P10(x1233,x1232,x1234,x1235)+~E(x1231,x1232)+~P10(x1233,x1231,x1234,x1235)
% 82.40/82.45 [124]P10(x1243,x1244,x1242,x1245)+~E(x1241,x1242)+~P10(x1243,x1244,x1241,x1245)
% 82.40/82.45 [125]P10(x1253,x1254,x1255,x1252)+~E(x1251,x1252)+~P10(x1253,x1254,x1255,x1251)
% 82.40/82.45 [126]P6(x1262,x1263,x1264,x1265,x1266,x1267)+~E(x1261,x1262)+~P6(x1261,x1263,x1264,x1265,x1266,x1267)
% 82.40/82.45 [127]P6(x1273,x1272,x1274,x1275,x1276,x1277)+~E(x1271,x1272)+~P6(x1273,x1271,x1274,x1275,x1276,x1277)
% 82.40/82.45 [128]P6(x1283,x1284,x1282,x1285,x1286,x1287)+~E(x1281,x1282)+~P6(x1283,x1284,x1281,x1285,x1286,x1287)
% 82.40/82.45 [129]P6(x1293,x1294,x1295,x1292,x1296,x1297)+~E(x1291,x1292)+~P6(x1293,x1294,x1295,x1291,x1296,x1297)
% 82.40/82.45 [130]P6(x1303,x1304,x1305,x1306,x1302,x1307)+~E(x1301,x1302)+~P6(x1303,x1304,x1305,x1306,x1301,x1307)
% 82.40/82.45 [131]P6(x1313,x1314,x1315,x1316,x1317,x1312)+~E(x1311,x1312)+~P6(x1313,x1314,x1315,x1316,x1317,x1311)
% 82.40/82.45 [132]P2(x1322,x1323,x1324,x1325)+~E(x1321,x1322)+~P2(x1321,x1323,x1324,x1325)
% 82.40/82.45 [133]P2(x1333,x1332,x1334,x1335)+~E(x1331,x1332)+~P2(x1333,x1331,x1334,x1335)
% 82.40/82.45 [134]P2(x1343,x1344,x1342,x1345)+~E(x1341,x1342)+~P2(x1343,x1344,x1341,x1345)
% 82.40/82.45 [135]P2(x1353,x1354,x1355,x1352)+~E(x1351,x1352)+~P2(x1353,x1354,x1355,x1351)
% 82.40/82.45 [136]P11(x1362,x1363,x1364,x1365,x1366,x1367)+~E(x1361,x1362)+~P11(x1361,x1363,x1364,x1365,x1366,x1367)
% 82.40/82.45 [137]P11(x1373,x1372,x1374,x1375,x1376,x1377)+~E(x1371,x1372)+~P11(x1373,x1371,x1374,x1375,x1376,x1377)
% 82.40/82.45 [138]P11(x1383,x1384,x1382,x1385,x1386,x1387)+~E(x1381,x1382)+~P11(x1383,x1384,x1381,x1385,x1386,x1387)
% 82.40/82.45 [139]P11(x1393,x1394,x1395,x1392,x1396,x1397)+~E(x1391,x1392)+~P11(x1393,x1394,x1395,x1391,x1396,x1397)
% 82.40/82.45 [140]P11(x1403,x1404,x1405,x1406,x1402,x1407)+~E(x1401,x1402)+~P11(x1403,x1404,x1405,x1406,x1401,x1407)
% 82.40/82.45 [141]P11(x1413,x1414,x1415,x1416,x1417,x1412)+~E(x1411,x1412)+~P11(x1413,x1414,x1415,x1416,x1417,x1411)
% 82.40/82.45
% 82.40/82.45 %-------------------------------------------
% 82.50/82.52 cnf(261,plain,
% 82.50/82.52 (~P4(a1,a17,a18,a19)),
% 82.50/82.52 inference(scs_inference,[],[147,166])).
% 82.50/82.52 cnf(263,plain,
% 82.50/82.52 (~P4(a17,a18,a1,a19)),
% 82.50/82.52 inference(scs_inference,[],[147,166,167])).
% 82.50/82.52 cnf(265,plain,
% 82.50/82.52 (~P4(a17,a1,a19,a18)),
% 82.50/82.52 inference(scs_inference,[],[147,166,167,168])).
% 82.50/82.52 cnf(267,plain,
% 82.50/82.52 (P1(a16,a16,a1)),
% 82.50/82.52 inference(scs_inference,[],[142,147,166,167,168,152])).
% 82.50/82.52 cnf(269,plain,
% 82.50/82.52 (P10(a3,a3,a2,a2)),
% 82.50/82.52 inference(scs_inference,[],[142,143,147,166,167,168,152,154])).
% 82.50/82.52 cnf(271,plain,
% 82.50/82.52 (P10(a17,a17,a2,a2)),
% 82.50/82.52 inference(scs_inference,[],[142,143,147,166,167,168,152,154,155])).
% 82.50/82.52 cnf(273,plain,
% 82.50/82.52 (~P9(a3,x2731,x2731,a2)+P5(a3,a17,x2731,a17)),
% 82.50/82.52 inference(scs_inference,[],[142,143,147,166,167,168,152,154,155,171])).
% 82.50/82.52 cnf(275,plain,
% 82.50/82.52 (~P9(a2,a2,a3,a2)+P5(a3,a17,a3,a17)),
% 82.50/82.52 inference(scs_inference,[],[142,143,147,166,167,168,152,154,155,171,179])).
% 82.50/82.52 cnf(281,plain,
% 82.50/82.52 (~P9(a3,a3,a2,a3)+P5(a3,a17,a3,a17)),
% 82.50/82.52 inference(scs_inference,[],[142,143,146,147,166,167,168,152,154,155,171,179,238,162,163])).
% 82.50/82.52 cnf(292,plain,
% 82.50/82.52 (~P4(a1,a18,a17,a19)),
% 82.50/82.52 inference(scs_inference,[],[261,167])).
% 82.50/82.52 cnf(294,plain,
% 82.50/82.52 (~P4(a1,a17,a19,a18)),
% 82.50/82.52 inference(scs_inference,[],[261,167,168])).
% 82.50/82.52 cnf(296,plain,
% 82.50/82.52 (~P4(a18,a17,a1,a19)),
% 82.50/82.52 inference(scs_inference,[],[261,263,167,168,166])).
% 82.50/82.52 cnf(298,plain,
% 82.50/82.52 (P10(a18,a18,a2,a2)),
% 82.50/82.52 inference(scs_inference,[],[144,261,263,167,168,166,155])).
% 82.50/82.52 cnf(300,plain,
% 82.50/82.52 (P1(a1,a1,a16)),
% 82.50/82.52 inference(scs_inference,[],[144,267,261,263,167,168,166,155,152])).
% 82.50/82.52 cnf(302,plain,
% 82.50/82.52 (P10(a16,a16,a2,a2)),
% 82.50/82.52 inference(scs_inference,[],[144,267,261,263,167,168,166,155,152,154])).
% 82.50/82.52 cnf(316,plain,
% 82.50/82.52 (~P4(a1,a18,a19,a17)),
% 82.50/82.52 inference(scs_inference,[],[292,168])).
% 82.50/82.52 cnf(318,plain,
% 82.50/82.52 (~P4(a17,a19,a1,a18)),
% 82.50/82.52 inference(scs_inference,[],[265,292,168,167])).
% 82.50/82.52 cnf(320,plain,
% 82.50/82.52 (~P4(a18,a1,a17,a19)),
% 82.50/82.52 inference(scs_inference,[],[265,292,168,167,166])).
% 82.50/82.52 cnf(322,plain,
% 82.50/82.52 (P10(a19,a19,a16,a16)),
% 82.50/82.52 inference(scs_inference,[],[145,265,292,168,167,166,155])).
% 82.50/82.52 cnf(324,plain,
% 82.50/82.52 (P10(a3,a3,a16,a16)),
% 82.50/82.52 inference(scs_inference,[],[145,265,292,168,167,166,155,154])).
% 82.50/82.52 cnf(327,plain,
% 82.50/82.52 (P10(a19,a19,a2,a2)),
% 82.50/82.52 inference(scs_inference,[],[145,265,292,302,168,167,166,155,154,92,176])).
% 82.50/82.52 cnf(330,plain,
% 82.50/82.52 (P9(x3301,a3,a2,a16)+~E(a1,x3301)),
% 82.50/82.52 inference(scs_inference,[],[145,146,265,292,302,168,167,166,155,154,92,176,93,106])).
% 82.50/82.52 cnf(340,plain,
% 82.50/82.52 (~P4(a1,a19,a17,a18)),
% 82.50/82.52 inference(scs_inference,[],[294,167])).
% 82.50/82.52 cnf(342,plain,
% 82.50/82.52 (~P4(a18,a17,a19,a1)),
% 82.50/82.52 inference(scs_inference,[],[294,296,167,168])).
% 82.50/82.52 cnf(344,plain,
% 82.50/82.52 (~P4(a18,a1,a19,a17)),
% 82.50/82.52 inference(scs_inference,[],[294,296,316,167,168,166])).
% 82.50/82.52 cnf(350,plain,
% 82.50/82.52 (~P9(x3501,x3502,a1,a3)+P10(x3501,x3502,a2,a16)),
% 82.50/82.52 inference(scs_inference,[],[146,294,269,296,316,167,168,166,122,123,124,125,177])).
% 82.50/82.52 cnf(352,plain,
% 82.50/82.52 (~P9(a16,x3521,x3521,a2)+P5(a16,a18,x3521,a18)),
% 82.50/82.52 inference(scs_inference,[],[144,146,294,269,296,316,167,168,166,122,123,124,125,177,171])).
% 82.50/82.52 cnf(358,plain,
% 82.50/82.52 (~P4(a17,a19,a18,a1)),
% 82.50/82.52 inference(scs_inference,[],[318,168])).
% 82.50/82.52 cnf(360,plain,
% 82.50/82.52 (~P4(a18,a19,a17,a1)),
% 82.50/82.52 inference(scs_inference,[],[318,342,168,167])).
% 82.50/82.52 cnf(362,plain,
% 82.50/82.52 (~P4(a19,a17,a1,a18)),
% 82.50/82.52 inference(scs_inference,[],[318,342,168,167,166])).
% 82.50/82.52 cnf(375,plain,
% 82.50/82.52 (~P4(a18,a19,a1,a17)),
% 82.50/82.52 inference(scs_inference,[],[344,167])).
% 82.50/82.52 cnf(377,plain,
% 82.50/82.52 (~P4(a1,a19,a18,a17)),
% 82.50/82.52 inference(scs_inference,[],[340,344,167,168])).
% 82.50/82.52 cnf(379,plain,
% 82.50/82.52 (~P4(a19,a1,a17,a18)),
% 82.50/82.52 inference(scs_inference,[],[340,344,167,168,166])).
% 82.50/82.52 cnf(381,plain,
% 82.50/82.52 (~P9(a3,x3811,x3811,a16)+P5(a3,a19,x3811,a19)),
% 82.50/82.52 inference(scs_inference,[],[145,340,344,167,168,166,171])).
% 82.50/82.52 cnf(392,plain,
% 82.50/82.52 (~P4(a17,a18,a19,a1)),
% 82.50/82.52 inference(scs_inference,[],[358,362,168,167])).
% 82.50/82.52 cnf(394,plain,
% 82.50/82.52 (~P4(a19,a18,a17,a1)),
% 82.50/82.52 inference(scs_inference,[],[358,360,362,168,167,166])).
% 82.50/82.52 cnf(408,plain,
% 82.50/82.52 (~P4(a19,a1,a18,a17)),
% 82.50/82.52 inference(scs_inference,[],[379,168])).
% 82.50/82.52 cnf(410,plain,
% 82.50/82.52 (~P4(a19,a18,a1,a17)),
% 82.50/82.52 inference(scs_inference,[],[375,379,168,166])).
% 82.50/82.52 cnf(440,plain,
% 82.50/82.52 (~P9(a2,a2,x4401,x4402)+P9(a16,a16,x4401,x4402)),
% 82.50/82.52 inference(scs_inference,[],[142,302,300,88,90,179])).
% 82.50/82.52 cnf(442,plain,
% 82.50/82.52 (~P10(x4421,x4422,a17,a17)+P10(x4421,x4422,a2,a2)),
% 82.50/82.52 inference(scs_inference,[],[142,302,300,271,88,90,179,176])).
% 82.50/82.52 cnf(473,plain,
% 82.50/82.52 (~P9(a2,a2,x4731,x4732)+P9(a17,a17,x4731,x4732)),
% 82.50/82.52 inference(scs_inference,[],[271,124,179])).
% 82.50/82.52 cnf(476,plain,
% 82.50/82.52 (~P10(x4761,x4762,a18,a18)+P10(x4761,x4762,a2,a2)),
% 82.50/82.52 inference(scs_inference,[],[271,298,124,179,122,176])).
% 82.50/82.52 cnf(509,plain,
% 82.50/82.52 (~P9(a2,a2,x5091,x5092)+P9(a18,a18,x5091,x5092)),
% 82.50/82.52 inference(scs_inference,[],[298,179])).
% 82.50/82.52 cnf(511,plain,
% 82.50/82.52 (~P9(x5111,x5112,a2,a2)+P9(a18,a18,x5111,x5112)),
% 82.50/82.52 inference(scs_inference,[],[298,179,162])).
% 82.50/82.52 cnf(513,plain,
% 82.50/82.52 (~P9(a2,a2,x5131,x5132)+P9(a18,a18,x5132,x5131)),
% 82.50/82.52 inference(scs_inference,[],[298,179,162,163])).
% 82.50/82.52 cnf(526,plain,
% 82.50/82.52 (~P10(x5261,x5262,a19,a19)+P10(x5261,x5262,a16,a16)),
% 82.50/82.52 inference(scs_inference,[],[377,298,322,327,125,123,233,176])).
% 82.50/82.52 cnf(535,plain,
% 82.50/82.52 (~P9(a2,a2,x5351,x5352)+P9(a3,a3,x5351,x5352)),
% 82.50/82.52 inference(scs_inference,[],[267,269,88,179])).
% 82.50/82.52 cnf(540,plain,
% 82.50/82.52 (~P9(a16,a16,x5401,x5402)+P9(a3,a3,x5401,x5402)),
% 82.50/82.52 inference(scs_inference,[],[324,122,179])).
% 82.50/82.52 cnf(544,plain,
% 82.50/82.52 (~P10(x5441,x5442,a3,a3)+P10(x5441,x5442,a16,a16)),
% 82.50/82.52 inference(scs_inference,[],[267,324,122,179,123,89,176])).
% 82.50/82.52 cnf(582,plain,
% 82.50/82.52 (~P9(a16,a16,x5821,x5822)+P9(a19,a19,x5821,x5822)),
% 82.50/82.52 inference(scs_inference,[],[322,179])).
% 82.50/82.52 cnf(584,plain,
% 82.50/82.52 (P9(a19,a19,x5841,x5842)+~P9(a2,a2,x5841,x5842)),
% 82.50/82.53 inference(scs_inference,[],[322,179,440])).
% 82.50/82.53 cnf(586,plain,
% 82.50/82.53 (~P9(x5861,x5862,a16,a16)+P9(a19,a19,x5861,x5862)),
% 82.50/82.53 inference(scs_inference,[],[322,179,440,162])).
% 82.50/82.53 cnf(588,plain,
% 82.50/82.53 (~P9(a16,a16,x5881,x5882)+P9(a19,a19,x5882,x5881)),
% 82.50/82.53 inference(scs_inference,[],[322,179,440,162,163])).
% 82.50/82.53 cnf(602,plain,
% 82.50/82.53 (~P10(x6021,x6022,a3,a3)+P10(x6021,x6022,a2,a2)),
% 82.50/82.53 inference(scs_inference,[],[263,269,322,124,233,176])).
% 82.50/82.53 cnf(606,plain,
% 82.50/82.53 (P1(a2,a16,a1)),
% 82.50/82.53 inference(scs_inference,[],[142,148,149])).
% 82.50/82.53 cnf(607,plain,
% 82.50/82.53 (P1(a1,a1,a2)),
% 82.50/82.53 inference(scs_inference,[],[606,152])).
% 82.50/82.53 cnf(614,plain,
% 82.50/82.53 (P1(a2,a2,a1)),
% 82.50/82.53 inference(scs_inference,[],[607,152])).
% 82.50/82.53 cnf(621,plain,
% 82.50/82.53 (~P10(x6211,x6212,a19,a19)+P10(x6211,x6212,a2,a2)),
% 82.50/82.53 inference(scs_inference,[],[265,607,327,152,88,89,233,90,176])).
% 82.50/82.53 cnf(781,plain,
% 82.50/82.53 (P7(x7811,a16,a16,a2,x7811,a16,a16,a2)+~P1(x7811,a16,a2)),
% 82.50/82.53 inference(scs_inference,[],[302,225])).
% 82.50/82.53 cnf(785,plain,
% 82.50/82.53 (P7(x7851,a17,a17,a2,x7851,a17,a17,a2)+~P1(x7851,a17,a2)),
% 82.50/82.53 inference(scs_inference,[],[271,225])).
% 82.50/82.53 cnf(789,plain,
% 82.50/82.53 (P7(x7891,a18,a18,a2,x7891,a18,a18,a2)+~P1(x7891,a18,a2)),
% 82.50/82.53 inference(scs_inference,[],[298,225])).
% 82.50/82.53 cnf(793,plain,
% 82.50/82.53 (P7(x7931,a3,a3,a2,x7931,a3,a3,a2)+~P1(x7931,a3,a2)),
% 82.50/82.53 inference(scs_inference,[],[269,225])).
% 82.50/82.53 cnf(797,plain,
% 82.50/82.53 (P7(x7971,a3,a3,a16,x7971,a3,a3,a16)+~P1(x7971,a3,a16)),
% 82.50/82.53 inference(scs_inference,[],[324,225])).
% 82.50/82.53 cnf(801,plain,
% 82.50/82.53 (P7(x8011,a19,a19,a16,x8011,a19,a19,a16)+~P1(x8011,a19,a16)),
% 82.50/82.53 inference(scs_inference,[],[322,225])).
% 82.50/82.53 cnf(805,plain,
% 82.50/82.53 (P7(x8051,a19,a19,a2,x8051,a19,a19,a2)+~P1(x8051,a19,a2)),
% 82.50/82.53 inference(scs_inference,[],[327,225])).
% 82.50/82.53 cnf(862,plain,
% 82.50/82.53 (P5(a17,a2,a17,a3)),
% 82.50/82.53 inference(scs_inference,[],[143,151,153])).
% 82.50/82.53 cnf(863,plain,
% 82.50/82.53 (P4(a2,a3,a3,a3)),
% 82.50/82.53 inference(scs_inference,[],[862,193])).
% 82.50/82.53 cnf(867,plain,
% 82.50/82.53 (P4(a3,a3,a3,a3)),
% 82.50/82.53 inference(scs_inference,[],[862,193,158,182])).
% 82.50/82.53 cnf(869,plain,
% 82.50/82.53 (~P1(a17,a2,a3)+P10(a2,a2,a3,a3)),
% 82.50/82.53 inference(scs_inference,[],[862,193,158,182,154])).
% 82.50/82.53 cnf(875,plain,
% 82.50/82.53 (~P1(a17,a2,a3)+~P8(x8751,x8752,x8753,x8754,a2,a3,a3,a3)+~P10(a2,a3,a3,a3)+P8(x8751,x8752,x8753,x8754,a3,a3,a3,a3)),
% 82.50/82.53 inference(scs_inference,[],[269,862,193,158,182,154,155,176,227,259])).
% 82.50/82.53 cnf(887,plain,
% 82.50/82.53 (~P5(x8871,x8872,a17,a2)+P5(x8871,x8872,a17,a3)),
% 82.50/82.53 inference(scs_inference,[],[862,180])).
% 82.50/82.53 cnf(1050,plain,
% 82.50/82.53 (P1(x10501,x10502,x10503)+~P10(x10502,x10501,x10502,x10503)),
% 82.50/82.53 inference(scs_inference,[],[157,148])).
% 82.50/82.53 cnf(1066,plain,
% 82.50/82.53 (~P1(a17,a3,a2)+P10(a2,a2,a3,a3)),
% 82.50/82.53 inference(scs_inference,[],[869,149])).
% 82.50/82.53 cnf(1114,plain,
% 82.50/82.53 (P10(a2,a2,a3,a3)),
% 82.50/82.53 inference(scs_inference,[],[143,1066,150])).
% 82.50/82.53 cnf(1115,plain,
% 82.50/82.53 (P10(a2,a2,a2,a2)),
% 82.50/82.53 inference(scs_inference,[],[269,1114,176])).
% 82.50/82.53 cnf(1117,plain,
% 82.50/82.53 (P1(a2,a2,a2)),
% 82.50/82.53 inference(scs_inference,[],[269,1114,176,1050])).
% 82.50/82.53 cnf(1119,plain,
% 82.50/82.53 (~P9(a3,a3,x11191,x11192)+P9(a2,a2,x11191,x11192)),
% 82.50/82.53 inference(scs_inference,[],[269,1114,176,1050,179])).
% 82.50/82.53 cnf(1128,plain,
% 82.50/82.53 (~P9(a2,a16,a3,a3)+P9(a2,a2,a2,a16)),
% 82.50/82.53 inference(scs_inference,[],[146,269,1114,176,1050,179,106,225,535,540,162])).
% 82.50/82.53 cnf(1130,plain,
% 82.50/82.53 (~P9(a3,a3,a16,a2)+P9(a2,a2,a2,a16)),
% 82.50/82.53 inference(scs_inference,[],[146,269,1114,176,1050,179,106,225,535,540,162,163])).
% 82.50/82.53 cnf(1133,plain,
% 82.50/82.53 (P10(a2,a2,a16,a16)),
% 82.50/82.53 inference(scs_inference,[],[324,1114,176])).
% 82.50/82.53 cnf(1149,plain,
% 82.50/82.53 (P10(a16,a16,a3,a3)),
% 82.50/82.53 inference(scs_inference,[],[302,1114,176])).
% 82.50/82.53 cnf(1151,plain,
% 82.50/82.53 (P7(a1,a2,a2,a16,a1,a2,a2,a16)),
% 82.50/82.53 inference(scs_inference,[],[142,302,1114,1133,176,225])).
% 82.50/82.53 cnf(1165,plain,
% 82.50/82.53 (P10(a19,a19,a3,a3)),
% 82.50/82.53 inference(scs_inference,[],[322,1149,176])).
% 82.50/82.53 cnf(1179,plain,
% 82.50/82.53 (P10(a16,a16,a16,a16)),
% 82.50/82.53 inference(scs_inference,[],[302,1133,176])).
% 82.50/82.53 cnf(1181,plain,
% 82.50/82.53 (P1(a16,a16,a16)),
% 82.50/82.53 inference(scs_inference,[],[302,1133,176,1050])).
% 82.50/82.53 cnf(1238,plain,
% 82.50/82.53 (~P9(a16,a16,x12381,x12382)+P9(a2,a2,x12381,x12382)),
% 82.50/82.53 inference(scs_inference,[],[1133,123,179])).
% 82.50/82.53 cnf(1252,plain,
% 82.50/82.53 (~P9(a3,a3,x12521,x12522)+P9(a16,a16,x12521,x12522)),
% 82.50/82.53 inference(scs_inference,[],[1149,179])).
% 82.50/82.53 cnf(1257,plain,
% 82.50/82.53 (~P9(a3,a3,a16,a2)+P9(a16,a16,a2,a16)),
% 82.50/82.53 inference(scs_inference,[],[1149,179,330,162,163])).
% 82.50/82.53 cnf(1268,plain,
% 82.50/82.53 (~P9(a3,a3,x12681,x12682)+P9(a19,a19,x12681,x12682)),
% 82.50/82.53 inference(scs_inference,[],[1165,179])).
% 82.50/82.53 cnf(1271,plain,
% 82.50/82.53 (~P9(a3,a3,a16,a2)+P9(a19,a19,a2,a16)),
% 82.50/82.53 inference(scs_inference,[],[1165,179,330,163])).
% 82.50/82.53 cnf(1273,plain,
% 82.50/82.53 (~P9(a2,a16,a3,a3)+P9(a19,a19,a2,a16)),
% 82.50/82.53 inference(scs_inference,[],[1165,179,330,163,162])).
% 82.50/82.53 cnf(1298,plain,
% 82.50/82.53 (~P10(x12981,x12982,a19,a19)+P10(x12981,x12982,a3,a3)),
% 82.50/82.53 inference(scs_inference,[],[1165,176])).
% 82.50/82.53 cnf(1340,plain,
% 82.50/82.53 (P7(x13401,a2,a2,a3,x13401,a2,a2,a3)+~P1(x13401,a2,a3)),
% 82.50/82.53 inference(scs_inference,[],[1114,225])).
% 82.50/82.53 cnf(1343,plain,
% 82.50/82.53 (P7(x13431,a16,a16,a3,x13431,a16,a16,a3)+~P1(x13431,a16,a3)),
% 82.50/82.53 inference(scs_inference,[],[1149,225])).
% 82.50/82.53 cnf(1347,plain,
% 82.50/82.53 (P7(x13471,a19,a19,a3,x13471,a19,a19,a3)+~P1(x13471,a19,a3)),
% 82.50/82.53 inference(scs_inference,[],[1165,225])).
% 82.50/82.53 cnf(1370,plain,
% 82.50/82.53 (P10(a3,a3,a3,a3)),
% 82.50/82.53 inference(scs_inference,[],[269,1114,176])).
% 82.50/82.53 cnf(1372,plain,
% 82.50/82.53 (P1(a3,a3,a3)),
% 82.50/82.53 inference(scs_inference,[],[269,1114,176,1050])).
% 82.50/82.53 cnf(1374,plain,
% 82.50/82.53 (P8(a3,a3,a3,a3,a3,a3,a3,a3)),
% 82.50/82.53 inference(scs_inference,[],[269,1114,867,176,1050,227])).
% 82.50/82.53 cnf(1554,plain,
% 82.50/82.53 (P10(a17,a17,a3,a3)),
% 82.50/82.53 inference(scs_inference,[],[271,1114,176])).
% 82.50/82.53 cnf(1560,plain,
% 82.50/82.53 (~P9(a3,a3,x15601,x15602)+P9(a17,a17,x15601,x15602)),
% 82.50/82.53 inference(scs_inference,[],[271,1114,176,125,124,123,122,179])).
% 82.50/82.53 cnf(1562,plain,
% 82.50/82.53 (~P5(a3,a3,a3,a3)+P9(a17,a17,a3,a3)),
% 82.50/82.53 inference(scs_inference,[],[271,867,1114,176,125,124,123,122,179,192])).
% 82.50/82.53 cnf(1568,plain,
% 82.50/82.53 (P10(a17,a17,a16,a16)),
% 82.50/82.53 inference(scs_inference,[],[271,1133,176])).
% 82.50/82.53 cnf(1583,plain,
% 82.50/82.53 (~P10(x15831,x15832,a17,a17)+P10(x15831,x15832,a3,a3)),
% 82.50/82.53 inference(scs_inference,[],[1554,176])).
% 82.50/82.53 cnf(1588,plain,
% 82.50/82.53 (~P9(a16,a16,x15881,x15882)+P9(a17,a17,x15881,x15882)),
% 82.50/82.53 inference(scs_inference,[],[1568,179])).
% 82.50/82.53 cnf(1590,plain,
% 82.50/82.53 (~P9(x15901,x15902,a16,a16)+P9(a17,a17,x15901,x15902)),
% 82.50/82.53 inference(scs_inference,[],[1568,179,162])).
% 82.50/82.53 cnf(1592,plain,
% 82.50/82.53 (~P9(a16,a16,x15921,x15922)+P9(a17,a17,x15922,x15921)),
% 82.50/82.53 inference(scs_inference,[],[1568,179,162,163])).
% 82.50/82.53 cnf(1594,plain,
% 82.50/82.53 (P9(a17,a17,a3,a3)+~P9(a16,a16,a16,a16)),
% 82.50/82.53 inference(scs_inference,[],[1568,179,162,163,540])).
% 82.50/82.53 cnf(1596,plain,
% 82.50/82.53 (P9(a17,a17,a3,a3)+~P9(a2,a2,a16,a16)),
% 82.50/82.53 inference(scs_inference,[],[1568,179,162,163,540,440])).
% 82.50/82.53 cnf(1601,plain,
% 82.50/82.53 (~P10(x16011,x16012,a17,a17)+P10(x16011,x16012,a16,a16)),
% 82.50/82.53 inference(scs_inference,[],[1568,176])).
% 82.50/82.53 cnf(1606,plain,
% 82.50/82.53 (P7(x16061,a17,a17,a3,x16061,a17,a17,a3)+~P1(x16061,a17,a3)),
% 82.50/82.53 inference(scs_inference,[],[1554,225])).
% 82.50/82.53 cnf(1609,plain,
% 82.50/82.53 (P7(x16091,a17,a17,a16,x16091,a17,a17,a16)+~P1(x16091,a17,a16)),
% 82.50/82.53 inference(scs_inference,[],[1568,225])).
% 82.50/82.53 cnf(2007,plain,
% 82.50/82.53 (P8(a3,a3,x20071,x20072,a2,a2,x20071,x20072)),
% 82.50/82.53 inference(scs_inference,[],[269,161,222])).
% 82.50/82.53 cnf(2038,plain,
% 82.50/82.53 (P5(a17,a3,a2,a17)),
% 82.50/82.53 inference(scs_inference,[],[862,164,165])).
% 82.50/82.53 cnf(2039,plain,
% 82.50/82.53 (P5(a17,a2,a2,a17)),
% 82.50/82.53 inference(scs_inference,[],[862,2038,180])).
% 82.50/82.53 cnf(2144,plain,
% 82.50/82.53 (~P9(a16,a16,a3,a2)+P5(a3,a17,a3,a17)),
% 82.50/82.53 inference(scs_inference,[],[273,540])).
% 82.50/82.53 cnf(2160,plain,
% 82.50/82.53 (P2(a3,a17,a17,a17)+~P9(a2,a2,a3,a2)),
% 82.50/82.53 inference(scs_inference,[],[275,181])).
% 82.50/82.53 cnf(2192,plain,
% 82.50/82.53 (P5(a3,a17,a17,a3)+~P9(a3,a3,a2,a3)),
% 82.50/82.53 inference(scs_inference,[],[281,165])).
% 82.50/82.53 cnf(2240,plain,
% 82.50/82.53 (~P9(a2,a2,a16,a2)+P5(a16,a18,a16,a18)),
% 82.50/82.53 inference(scs_inference,[],[352,440])).
% 82.50/82.53 cnf(2320,plain,
% 82.50/82.53 (P10(a2,a2,x23201,x23202)+~P10(x23201,x23202,a17,a17)),
% 82.50/82.53 inference(scs_inference,[],[442,160])).
% 82.50/82.53 cnf(2336,plain,
% 82.50/82.53 (P9(a18,a18,a17,a17)+~P9(a2,a2,a2,a2)),
% 82.50/82.53 inference(scs_inference,[],[473,511])).
% 82.50/82.53 cnf(2352,plain,
% 82.50/82.53 (P8(x23521,x23522,x23523,x23524,a2,a2,x23523,x23524)+~P10(x23521,x23522,a18,a18)),
% 82.50/82.53 inference(scs_inference,[],[476,222])).
% 82.50/82.53 cnf(2368,plain,
% 82.50/82.53 (P9(a19,a19,a18,a18)+~P9(a2,a2,a16,a16)),
% 82.50/82.53 inference(scs_inference,[],[509,586])).
% 82.50/82.53 cnf(2384,plain,
% 82.50/82.53 (P9(a17,a17,a18,a18)+~P9(a2,a2,a16,a16)),
% 82.50/82.53 inference(scs_inference,[],[513,1590])).
% 82.50/82.53 cnf(2448,plain,
% 82.50/82.53 (P8(a2,a2,x24481,x24482,a16,a16,x24481,x24482)),
% 82.50/82.53 inference(scs_inference,[],[1114,544,222])).
% 82.50/82.53 cnf(2505,plain,
% 82.50/82.53 (P10(a19,a19,a2,a16)+~P9(a16,a16,a1,a3)),
% 82.50/82.53 inference(scs_inference,[],[582,350])).
% 82.50/82.53 cnf(2521,plain,
% 82.50/82.53 (P8(a2,a2,x25211,x25212,a2,a2,x25211,x25212)),
% 82.50/82.53 inference(scs_inference,[],[1114,602,222])).
% 82.50/82.53 cnf(2591,plain,
% 82.50/82.53 (P5(a17,a3,a17,a3)),
% 82.50/82.53 inference(scs_inference,[],[143,887,153])).
% 82.50/82.53 cnf(2666,plain,
% 82.50/82.53 (P9(a2,a2,a16,a2)+~P9(a2,a16,a3,a3)),
% 82.50/82.53 inference(scs_inference,[],[1128,163])).
% 82.50/82.53 cnf(2682,plain,
% 82.50/82.53 (~P9(a3,a3,a16,a2)+P9(a17,a17,a2,a16)),
% 82.50/82.53 inference(scs_inference,[],[1130,473])).
% 82.50/82.53 cnf(2713,plain,
% 82.50/82.53 (P9(x27131,x27132,a2,a2)+~P9(a16,a16,x27131,x27132)),
% 82.50/82.53 inference(scs_inference,[],[1238,162])).
% 82.50/82.53 cnf(2744,plain,
% 82.50/82.53 (P9(x27441,x27442,a16,a16)+~P9(a3,a3,x27441,x27442)),
% 82.50/82.53 inference(scs_inference,[],[1252,162])).
% 82.50/82.53 cnf(2776,plain,
% 82.50/82.53 (~P9(a3,a3,a16,a2)+P9(a2,a16,a2,a2)),
% 82.50/82.53 inference(scs_inference,[],[1257,2713])).
% 82.50/82.53 cnf(2792,plain,
% 82.50/82.53 (P10(a19,a19,a2,a16)+~P9(a3,a3,a1,a3)),
% 82.50/82.53 inference(scs_inference,[],[1268,350])).
% 82.50/82.53 cnf(2808,plain,
% 82.50/82.53 (P9(a2,a16,a19,a19)+~P9(a3,a3,a16,a2)),
% 82.50/82.53 inference(scs_inference,[],[1271,162])).
% 82.50/82.53 cnf(2824,plain,
% 82.50/82.53 (P9(a19,a19,a16,a2)+~P9(a2,a16,a3,a3)),
% 82.50/82.53 inference(scs_inference,[],[1273,163])).
% 82.50/82.53 cnf(2840,plain,
% 82.50/82.53 (P10(a3,a3,x28401,x28402)+~P10(x28401,x28402,a19,a19)),
% 82.50/82.53 inference(scs_inference,[],[1298,160])).
% 82.50/82.53 cnf(2871,plain,
% 82.50/82.53 (P9(x28711,x28712,a17,a17)+~P9(a3,a3,x28711,x28712)),
% 82.50/82.53 inference(scs_inference,[],[1560,162])).
% 82.50/82.53 cnf(2887,plain,
% 82.50/82.53 (P9(a3,a3,a17,a17)+~P5(a3,a3,a3,a3)),
% 82.50/82.53 inference(scs_inference,[],[1562,162])).
% 82.50/82.53 cnf(2903,plain,
% 82.50/82.53 (P10(a3,a3,x29031,x29032)+~P10(x29031,x29032,a17,a17)),
% 82.50/82.53 inference(scs_inference,[],[1583,160])).
% 82.50/82.53 cnf(2935,plain,
% 82.50/82.53 (P9(a18,a18,a17,a17)+~P9(a16,a16,a2,a2)),
% 82.50/82.53 inference(scs_inference,[],[1592,511])).
% 82.50/82.53 cnf(2983,plain,
% 82.50/82.53 (P1(a16,x29831,a16)+~P10(a16,x29831,a17,a17)),
% 82.50/82.53 inference(scs_inference,[],[1601,157])).
% 82.50/82.53 cnf(2999,plain,
% 82.50/82.53 (P1(x29991,a16,a16)+~P10(a16,x29991,a17,a17)),
% 82.50/82.53 inference(scs_inference,[],[2983,148])).
% 82.50/82.53 cnf(3015,plain,
% 82.50/82.53 (P1(a16,a1,a16)+~P10(a16,a16,a17,a17)),
% 82.50/82.53 inference(scs_inference,[],[267,2999,152])).
% 82.50/82.53 cnf(3030,plain,
% 82.50/82.53 (P10(a18,a18,a3,a3)),
% 82.50/82.53 inference(scs_inference,[],[298,1114,176])).
% 82.50/82.53 cnf(3036,plain,
% 82.50/82.53 (~P9(a3,a3,x30361,x30362)+P9(a18,a18,x30361,x30362)),
% 82.50/82.53 inference(scs_inference,[],[298,1114,176,123,124,122,125,179])).
% 82.50/82.53 cnf(3038,plain,
% 82.50/82.53 (P7(x30381,a18,a18,a3,x30381,a18,a18,a3)+~P1(x30381,a18,a3)),
% 82.50/82.53 inference(scs_inference,[],[298,1114,176,123,124,122,125,179,225])).
% 82.50/82.53 cnf(3044,plain,
% 82.50/82.53 (P1(a1,a16,a16)+~P10(a16,a16,a17,a17)),
% 82.50/82.53 inference(scs_inference,[],[3015,148])).
% 82.50/82.53 cnf(3045,plain,
% 82.50/82.53 (P10(a18,a18,a16,a16)),
% 82.50/82.53 inference(scs_inference,[],[298,1133,176])).
% 82.50/82.53 cnf(3049,plain,
% 82.50/82.53 (~P9(a16,a16,x30491,x30492)+P9(a18,a18,x30491,x30492)),
% 82.50/82.53 inference(scs_inference,[],[298,1133,176,123,124,179])).
% 82.50/82.53 cnf(3053,plain,
% 82.50/82.53 (P7(x30531,a18,a18,a16,x30531,a18,a18,a16)+~P1(x30531,a18,a16)),
% 82.50/82.53 inference(scs_inference,[],[298,1133,176,123,124,179,122,125,225])).
% 82.50/82.53 cnf(3059,plain,
% 82.50/82.53 (~P10(x30591,x30592,a18,a18)+P10(x30591,x30592,a3,a3)),
% 82.50/82.53 inference(scs_inference,[],[3030,176])).
% 82.50/82.53 cnf(3061,plain,
% 82.50/82.53 (P8(a2,a3,a3,a3,a3,a3,a3,a3)+~P10(a2,a3,a18,a18)),
% 82.50/82.53 inference(scs_inference,[],[863,3030,176,227])).
% 82.50/82.53 cnf(3064,plain,
% 82.50/82.53 (~P10(x30641,x30642,a18,a18)+P10(x30641,x30642,a16,a16)),
% 82.50/82.53 inference(scs_inference,[],[3045,176])).
% 82.50/82.53 cnf(3081,plain,
% 82.50/82.53 (P7(a1,a16,a16,a16,a1,a16,a16,a16)+~P10(a16,a16,a17,a17)),
% 82.50/82.53 inference(scs_inference,[],[1179,3044,225])).
% 82.50/82.53 cnf(3129,plain,
% 82.50/82.53 (P5(a3,a17,a17,a3)+~P9(a16,a16,a3,a2)),
% 82.50/82.53 inference(scs_inference,[],[2144,165])).
% 82.50/82.53 cnf(3145,plain,
% 82.50/82.53 (P5(a17,a3,a3,a17)+~P9(a3,a3,a2,a3)),
% 82.50/82.53 inference(scs_inference,[],[2192,164])).
% 82.50/82.53 cnf(3209,plain,
% 82.50/82.53 (~P8(x32091,x32092,x32093,x32094,a17,a17,x32093,x32094)+P10(a2,a2,x32091,x32092)),
% 82.50/82.53 inference(scs_inference,[],[2320,230])).
% 82.50/82.53 cnf(3225,plain,
% 82.50/82.53 (P9(a17,a17,a18,a18)+~P9(a2,a2,a2,a2)),
% 82.50/82.53 inference(scs_inference,[],[2336,162])).
% 82.50/82.53 cnf(3241,plain,
% 82.50/82.53 (~P9(a3,a3,a16,a16)+P9(a19,a19,a18,a18)),
% 82.50/82.53 inference(scs_inference,[],[2368,1119])).
% 82.50/82.53 cnf(3257,plain,
% 82.50/82.53 (P9(a17,a17,a18,a18)+~P9(a16,a16,a16,a16)),
% 82.50/82.53 inference(scs_inference,[],[2384,1238])).
% 82.50/82.53 cnf(3273,plain,
% 82.50/82.53 (P10(a19,a19,a16,a2)+~P9(a16,a16,a1,a3)),
% 82.50/82.53 inference(scs_inference,[],[2505,161])).
% 82.50/82.53 cnf(3305,plain,
% 82.50/82.53 (~P9(a3,a3,a2,a16)+P9(a2,a2,a16,a2)),
% 82.50/82.53 inference(scs_inference,[],[2666,162])).
% 82.50/82.53 cnf(3321,plain,
% 82.50/82.53 (P9(a17,a17,a2,a16)+~P9(a2,a2,a16,a2)),
% 82.50/82.53 inference(scs_inference,[],[2682,535])).
% 82.50/82.53 cnf(3417,plain,
% 82.50/82.53 (P8(a19,a19,x34171,x34172,a2,a16,x34171,x34172)+~P9(a3,a3,a1,a3)),
% 82.50/82.53 inference(scs_inference,[],[2792,222])).
% 82.50/82.53 cnf(3433,plain,
% 82.50/82.53 (P10(a1,a3,a19,a19)+~P9(a3,a3,a16,a2)),
% 82.50/82.53 inference(scs_inference,[],[146,2808,177])).
% 82.50/82.53 cnf(3449,plain,
% 82.50/82.53 (P9(a16,a2,a19,a19)+~P9(a2,a16,a3,a3)),
% 82.50/82.53 inference(scs_inference,[],[2824,162])).
% 82.50/82.53 cnf(3465,plain,
% 82.50/82.53 (~P8(x34651,x34652,x34653,x34654,a19,a19,x34653,x34654)+P10(a3,a3,x34651,x34652)),
% 82.50/82.53 inference(scs_inference,[],[2840,230])).
% 82.50/82.53 cnf(3497,plain,
% 82.50/82.53 (~P5(a3,a3,a3,a3)+P9(a16,a16,a17,a17)),
% 82.50/82.53 inference(scs_inference,[],[2887,1252])).
% 82.50/82.53 cnf(3513,plain,
% 82.50/82.53 (~P8(x35131,x35132,x35133,x35134,a17,a17,x35133,x35134)+P10(a3,a3,x35131,x35132)),
% 82.50/82.53 inference(scs_inference,[],[2903,230])).
% 82.50/82.53 cnf(3545,plain,
% 82.50/82.53 (P9(a17,a17,a18,a18)+~P9(a16,a16,a2,a2)),
% 82.50/82.53 inference(scs_inference,[],[2935,162])).
% 82.50/82.53 cnf(3609,plain,
% 82.50/82.53 (P9(a19,a19,a18,a18)+~P9(a16,a16,a16,a16)),
% 82.50/82.53 inference(scs_inference,[],[3049,586])).
% 82.50/82.53 cnf(3641,plain,
% 82.50/82.53 (P1(x36411,a16,a16)+~P10(a16,x36411,a18,a18)),
% 82.50/82.53 inference(scs_inference,[],[3064,1050])).
% 82.50/82.53 cnf(3657,plain,
% 82.50/82.53 (P1(a16,a16,f14(a16,a16,a16,a16,a16,a16))+~P10(a16,a16,a18,a18)),
% 82.50/82.53 inference(scs_inference,[],[1179,1181,3641,203])).
% 82.50/82.53 cnf(3689,plain,
% 82.50/82.53 (P5(a3,a17,a17,a3)+~P9(a2,a2,a3,a2)),
% 82.50/82.53 inference(scs_inference,[],[3129,440])).
% 82.50/82.53 cnf(3705,plain,
% 82.50/82.53 (P5(a17,a2,a3,a17)+~P9(a3,a3,a2,a3)),
% 82.50/82.53 inference(scs_inference,[],[862,3145,180])).
% 82.50/82.53 cnf(3785,plain,
% 82.50/82.53 (P9(x37851,a17,a18,a18)+~E(a17,x37851)+~P9(a2,a2,a2,a2)),
% 82.50/82.53 inference(scs_inference,[],[3225,106])).
% 82.50/82.53 cnf(3834,plain,
% 82.50/82.53 (~P9(a3,a3,a1,a3)+P10(a19,a19,a16,a2)),
% 82.50/82.53 inference(scs_inference,[],[3273,1252])).
% 82.50/82.53 cnf(3866,plain,
% 82.50/82.53 (P9(a2,a2,a16,a2)+~P9(a16,a16,a2,a16)),
% 82.50/82.53 inference(scs_inference,[],[3305,540])).
% 82.50/82.53 cnf(3882,plain,
% 82.50/82.53 (P9(a2,a16,a17,a17)+~P9(a2,a2,a16,a2)),
% 82.50/82.53 inference(scs_inference,[],[3321,162])).
% 82.50/82.53 cnf(3962,plain,
% 82.50/82.53 (~P9(a2,a2,a16,a2)+P10(a1,a3,a19,a19)),
% 82.50/82.53 inference(scs_inference,[],[3433,535])).
% 82.50/82.53 cnf(3978,plain,
% 82.50/82.53 (~P9(a3,a3,a2,a16)+P9(a16,a2,a19,a19)),
% 82.50/82.53 inference(scs_inference,[],[3449,162])).
% 82.50/82.53 cnf(4010,plain,
% 82.50/82.53 (P9(a16,a16,a17,a17)),
% 82.50/82.53 inference(scs_inference,[],[867,1374,3497,248])).
% 82.50/82.53 cnf(4011,plain,
% 82.50/82.53 (P9(a17,a17,a2,a2)),
% 82.50/82.53 inference(scs_inference,[],[4010,2713])).
% 82.50/82.53 cnf(4013,plain,
% 82.50/82.53 (P9(a3,a3,a17,a17)),
% 82.50/82.53 inference(scs_inference,[],[324,4010,2713,179])).
% 82.50/82.53 cnf(4017,plain,
% 82.50/82.53 (P9(a17,a17,a17,a17)),
% 82.50/82.53 inference(scs_inference,[],[324,4010,2713,179,2744,2871])).
% 82.50/82.53 cnf(4021,plain,
% 82.50/82.53 (P10(a17,a17,a17,a17)),
% 82.50/82.53 inference(scs_inference,[],[324,4010,2713,179,2744,2871,226,177])).
% 82.50/82.53 cnf(4023,plain,
% 82.50/82.53 (P10(a2,a2,a17,a17)),
% 82.50/82.53 inference(scs_inference,[],[324,4010,2713,179,2744,2871,226,177,2320])).
% 82.50/82.53 cnf(4025,plain,
% 82.50/82.53 (P10(a3,a3,a17,a17)),
% 82.50/82.53 inference(scs_inference,[],[324,4010,2713,179,2744,2871,226,177,2320,2903])).
% 82.50/82.53 cnf(4027,plain,
% 82.50/82.53 (P1(a17,a17,a17)),
% 82.50/82.53 inference(scs_inference,[],[324,4010,2713,179,2744,2871,226,177,2320,2903,1050])).
% 82.50/82.53 cnf(4039,plain,
% 82.50/82.53 (P9(a19,a19,a17,a17)),
% 82.50/82.53 inference(scs_inference,[],[322,4010,179])).
% 82.50/82.53 cnf(4041,plain,
% 82.50/82.53 (P7(a17,a17,a17,a17,a17,a17,a17,a17)),
% 82.50/82.53 inference(scs_inference,[],[322,4021,4027,4010,179,225])).
% 82.50/82.53 cnf(4055,plain,
% 82.50/82.53 (P9(a2,a2,a17,a17)),
% 82.50/82.53 inference(scs_inference,[],[1114,4013,179])).
% 82.50/82.53 cnf(4061,plain,
% 82.50/82.53 (~P9(x40611,x40612,a3,a3)+P10(x40611,x40612,a17,a17)),
% 82.50/82.53 inference(scs_inference,[],[1114,4021,4017,4013,4041,4025,179,124,122,106,119,177])).
% 82.50/82.53 cnf(4069,plain,
% 82.50/82.53 (P9(a18,a18,a17,a17)),
% 82.50/82.53 inference(scs_inference,[],[298,4055,179])).
% 82.50/82.53 cnf(4083,plain,
% 82.50/82.53 (~P9(x40831,x40832,a19,a19)+P10(x40831,x40832,a17,a17)),
% 82.50/82.53 inference(scs_inference,[],[4039,177])).
% 82.50/82.53 cnf(4089,plain,
% 82.50/82.53 (~P9(a16,x40891,a19,a19)+P10(a2,a2,a16,x40891)),
% 82.50/82.53 inference(scs_inference,[],[4039,177,2999,2983,2320])).
% 82.50/82.53 cnf(4091,plain,
% 82.50/82.53 (~P9(a16,x40911,a19,a19)+P10(a3,a3,a16,x40911)),
% 82.50/82.53 inference(scs_inference,[],[4039,177,2999,2983,2320,2903])).
% 82.50/82.53 cnf(4125,plain,
% 82.50/82.53 (P10(a19,a19,a17,a17)),
% 82.50/82.53 inference(scs_inference,[],[327,4023,176])).
% 82.50/82.53 cnf(4127,plain,
% 82.50/82.53 (P10(a2,a2,a19,a19)),
% 82.50/82.53 inference(scs_inference,[],[327,4023,176,2320])).
% 82.50/82.53 cnf(4129,plain,
% 82.50/82.53 (P10(a3,a3,a19,a19)),
% 82.50/82.53 inference(scs_inference,[],[327,4023,176,2320,2903])).
% 82.50/82.53 cnf(4136,plain,
% 82.50/82.53 (P10(a19,a19,a19,a19)),
% 82.50/82.53 inference(scs_inference,[],[327,4127,176])).
% 82.50/82.53 cnf(4251,plain,
% 82.50/82.53 (~P9(x42511,x42512,a18,a18)+P10(x42511,x42512,a17,a17)),
% 82.50/82.53 inference(scs_inference,[],[4069,4136,125,177])).
% 82.50/82.53 cnf(4327,plain,
% 82.50/82.53 (P7(x43271,a3,a3,a17,x43271,a3,a3,a17)+~P1(x43271,a3,a17)),
% 82.50/82.53 inference(scs_inference,[],[4025,225])).
% 82.50/82.53 cnf(4331,plain,
% 82.50/82.53 (P7(x43311,a2,a2,a17,x43311,a2,a2,a17)+~P1(x43311,a2,a17)),
% 82.50/82.53 inference(scs_inference,[],[4023,225])).
% 82.50/82.53 cnf(4334,plain,
% 82.50/82.53 (P7(x43341,a3,a3,a19,x43341,a3,a3,a19)+~P1(x43341,a3,a19)),
% 82.50/82.53 inference(scs_inference,[],[4129,225])).
% 82.50/82.53 cnf(4338,plain,
% 82.50/82.53 (P7(x43381,a19,a19,a17,x43381,a19,a19,a17)+~P1(x43381,a19,a17)),
% 82.50/82.53 inference(scs_inference,[],[4125,225])).
% 82.50/82.53 cnf(4342,plain,
% 82.50/82.53 (P7(x43421,a2,a2,a19,x43421,a2,a2,a19)+~P1(x43421,a2,a19)),
% 82.50/82.53 inference(scs_inference,[],[4127,225])).
% 82.50/82.53 cnf(4548,plain,
% 82.50/82.53 (P9(a3,a3,a2,a2)),
% 82.50/82.53 inference(scs_inference,[],[4011,4025,179])).
% 82.50/82.53 cnf(4550,plain,
% 82.50/82.53 (P10(a17,a17,a19,a19)),
% 82.50/82.53 inference(scs_inference,[],[271,4011,4025,4127,179,176])).
% 82.50/82.53 cnf(4552,plain,
% 82.50/82.53 (P9(a2,a2,a16,a16)),
% 82.50/82.53 inference(scs_inference,[],[271,4011,4025,4127,179,176,2744])).
% 82.50/82.53 cnf(4554,plain,
% 82.50/82.53 (P9(a19,a19,a16,a16)),
% 82.50/82.53 inference(scs_inference,[],[271,4011,4025,4127,179,176,2744,584])).
% 82.50/82.53 cnf(4563,plain,
% 82.50/82.53 (P9(a17,a17,a3,a3)),
% 82.50/82.53 inference(scs_inference,[],[4552,1596])).
% 82.50/82.53 cnf(4564,plain,
% 82.50/82.53 (P9(a19,a19,a18,a18)),
% 82.50/82.53 inference(scs_inference,[],[4552,2368])).
% 82.50/82.53 cnf(4565,plain,
% 82.50/82.53 (P9(a17,a17,a18,a18)),
% 82.50/82.53 inference(scs_inference,[],[4552,2384])).
% 82.50/82.53 cnf(4566,plain,
% 82.50/82.53 (P9(a2,a2,a2,a2)),
% 82.50/82.53 inference(scs_inference,[],[4011,4023,179])).
% 82.50/82.53 cnf(4568,plain,
% 82.50/82.53 (P9(a19,a19,a2,a2)),
% 82.50/82.53 inference(scs_inference,[],[4011,4023,179,584])).
% 82.50/82.53 cnf(4571,plain,
% 82.50/82.53 (P10(a19,a19,a18,a18)),
% 82.50/82.53 inference(scs_inference,[],[4039,4011,4023,179,584,3785,177])).
% 82.50/82.53 cnf(4573,plain,
% 82.50/82.53 (P8(a19,a19,x45731,x45732,a2,a2,x45731,x45732)),
% 82.50/82.53 inference(scs_inference,[],[4039,4011,4023,179,584,3785,177,2352])).
% 82.50/82.53 cnf(4577,plain,
% 82.50/82.53 (P9(a17,a17,a18,a18)),
% 82.50/82.53 inference(scs_inference,[],[4566,3225])).
% 82.50/82.53 cnf(4580,plain,
% 82.50/82.53 (~P2(a2,a2,x45801,x45802)+P8(a3,a3,a2,x45801,x45802,a2,x45802,x45801)),
% 82.50/82.53 inference(scs_inference,[],[4566,2007,226,259])).
% 82.50/82.53 cnf(4607,plain,
% 82.50/82.53 (P10(a18,a18,a18,a18)),
% 82.50/82.54 inference(scs_inference,[],[4069,4565,177])).
% 82.50/82.54 cnf(4609,plain,
% 82.50/82.54 (P8(a18,a18,x46091,x46092,a2,a2,x46091,x46092)),
% 82.50/82.54 inference(scs_inference,[],[4069,4565,177,2352])).
% 82.50/82.54 cnf(4611,plain,
% 82.50/82.54 (P1(a18,a18,a18)),
% 82.50/82.54 inference(scs_inference,[],[4069,4565,177,2352,1050])).
% 82.50/82.54 cnf(4614,plain,
% 82.50/82.54 (P7(a18,a18,a18,a18,a18,a18,a18,a18)),
% 82.50/82.54 inference(scs_inference,[],[4069,4565,177,2352,1050,98,225])).
% 82.50/82.54 cnf(4634,plain,
% 82.50/82.54 (~P8(x46341,x46342,x46343,x46344,a19,a19,x46345,x46346)+P8(x46341,x46342,x46343,x46344,a2,a2,x46345,x46346)),
% 82.50/82.54 inference(scs_inference,[],[4614,4573,114,259])).
% 82.50/82.54 cnf(4645,plain,
% 82.50/82.54 (~P8(x46451,x46452,x46453,x46454,a18,a18,x46455,x46456)+P8(x46451,x46452,x46453,x46454,a2,a2,x46455,x46456)),
% 82.50/82.54 inference(scs_inference,[],[4609,259])).
% 82.50/82.54 cnf(4701,plain,
% 82.50/82.54 (~P9(x47011,x47012,a19,a19)+P10(x47011,x47012,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[4568,177])).
% 82.50/82.54 cnf(4703,plain,
% 82.50/82.54 (~P9(a3,a2,a19,a19)+P3(a17,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[143,4568,177,172])).
% 82.50/82.54 cnf(4714,plain,
% 82.50/82.54 (~P9(x47141,x47142,a19,a19)+P10(x47141,x47142,a16,a16)),
% 82.50/82.54 inference(scs_inference,[],[4554,177])).
% 82.50/82.54 cnf(4736,plain,
% 82.50/82.54 (~P9(x47361,x47362,a19,a19)+P10(x47361,x47362,a18,a18)),
% 82.50/82.54 inference(scs_inference,[],[4548,4564,106,177])).
% 82.50/82.54 cnf(4805,plain,
% 82.50/82.54 (P7(x48051,a19,a19,a18,x48051,a19,a19,a18)+~P1(x48051,a19,a18)),
% 82.50/82.54 inference(scs_inference,[],[4571,225])).
% 82.50/82.54 cnf(4808,plain,
% 82.50/82.54 (P7(x48081,a17,a17,a19,x48081,a17,a17,a19)+~P1(x48081,a17,a19)),
% 82.50/82.54 inference(scs_inference,[],[4550,225])).
% 82.50/82.54 cnf(4825,plain,
% 82.50/82.54 (P1(a2,a1,a16)),
% 82.50/82.54 inference(scs_inference,[],[142,148])).
% 82.50/82.54 cnf(4827,plain,
% 82.50/82.54 (P1(a1,a16,a2)),
% 82.50/82.54 inference(scs_inference,[],[142,148,149])).
% 82.50/82.54 cnf(4829,plain,
% 82.50/82.54 (P1(a18,a16,a2)),
% 82.50/82.54 inference(scs_inference,[],[142,144,148,149,150])).
% 82.50/82.54 cnf(4831,plain,
% 82.50/82.54 (P3(a18,a2,a16)),
% 82.50/82.54 inference(scs_inference,[],[142,144,148,149,150,151])).
% 82.50/82.54 cnf(4833,plain,
% 82.50/82.54 (P5(a18,a16,a18,a2)),
% 82.50/82.54 inference(scs_inference,[],[142,144,148,149,150,151,153])).
% 82.50/82.54 cnf(4835,plain,
% 82.50/82.54 (P10(a16,a16,a18,a18)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,144,148,149,150,151,153,160])).
% 82.50/82.54 cnf(4839,plain,
% 82.50/82.54 (P5(a17,a2,a17,a2)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,2039,144,148,149,150,151,153,160,164,165])).
% 82.50/82.54 cnf(4841,plain,
% 82.50/82.54 (P8(a3,a2,a3,a3,a3,a2,a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,2039,863,144,148,149,150,151,153,160,164,165,221])).
% 82.50/82.54 cnf(4843,plain,
% 82.50/82.54 (P8(a18,a18,x48431,x48432,a16,a16,x48431,x48432)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,2039,863,144,148,149,150,151,153,160,164,165,221,222])).
% 82.50/82.54 cnf(4845,plain,
% 82.50/82.54 (P8(a17,a3,a3,a3,a3,a3,a17,a3)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,2039,2591,863,144,148,149,150,151,153,160,164,165,221,222,223])).
% 82.50/82.54 cnf(4847,plain,
% 82.50/82.54 (P10(a3,a2,a3,a2)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,2039,2591,863,144,148,149,150,151,153,160,164,165,221,222,223,230])).
% 82.50/82.54 cnf(4849,plain,
% 82.50/82.54 (P9(a18,a18,a16,a16)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4552,2039,2591,863,144,148,149,150,151,153,160,164,165,221,222,223,230,509])).
% 82.50/82.54 cnf(4851,plain,
% 82.50/82.54 (P9(a18,a18,a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,4552,2039,2591,863,144,148,149,150,151,153,160,164,165,221,222,223,230,509,511])).
% 82.50/82.54 cnf(4853,plain,
% 82.50/82.54 (P9(a18,a18,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,4552,2039,4566,2591,863,144,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513])).
% 82.50/82.54 cnf(4855,plain,
% 82.50/82.54 (P9(a19,a19,a19,a19)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,4552,2039,4554,4566,2591,863,144,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586])).
% 82.50/82.54 cnf(4857,plain,
% 82.50/82.54 (P5(a2,a17,a17,a3)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,4552,2039,4554,4566,2591,863,144,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887])).
% 82.50/82.54 cnf(4859,plain,
% 82.50/82.54 (P9(a16,a16,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,4552,2039,4554,4566,2591,863,144,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252])).
% 82.50/82.54 cnf(4861,plain,
% 82.50/82.54 (P9(a17,a17,a19,a19)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,4552,2039,4554,4566,2591,863,144,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590])).
% 82.50/82.54 cnf(4863,plain,
% 82.50/82.54 (P10(a18,a18,a17,a17)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,4552,2039,4554,4566,2591,863,144,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061])).
% 82.50/82.54 cnf(4867,plain,
% 82.50/82.54 (P7(a2,a16,a1,a2,a2,a16,a1,a2)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,4552,2039,4554,4566,2591,1151,863,144,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254])).
% 82.50/82.54 cnf(4869,plain,
% 82.50/82.54 (P7(a2,a1,a2,a16,a1,a2,a2,a16)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,4552,2039,4554,4566,2591,1151,863,144,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255])).
% 82.50/82.54 cnf(4871,plain,
% 82.50/82.54 (P7(a1,a2,a1,a2,a2,a16,a2,a16)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,4552,2039,4554,4566,2591,1151,863,144,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256])).
% 82.50/82.54 cnf(4873,plain,
% 82.50/82.54 (P7(a1,a16,a16,a2,a1,a16,a16,a2)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,4552,2039,4554,4566,2591,1151,863,144,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781])).
% 82.50/82.54 cnf(4876,plain,
% 82.50/82.54 (P8(a2,a2,x48761,x48762,a18,a18,x48761,x48762)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,4552,2039,4554,4566,2591,4609,1151,863,144,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249])).
% 82.50/82.54 cnf(4878,plain,
% 82.50/82.54 (P9(a1,a3,a16,a2)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,4552,2039,4554,4566,2591,4609,1151,863,144,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163])).
% 82.50/82.54 cnf(4880,plain,
% 82.50/82.54 (P8(x48801,x48802,a18,a18,x48801,x48802,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,4552,2039,4554,4566,2591,4609,1151,863,144,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250])).
% 82.50/82.54 cnf(4882,plain,
% 82.50/82.54 (P8(a18,a18,a2,a2,x48821,x48822,x48821,x48822)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,4552,2039,4554,4566,2591,4609,1151,863,144,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252])).
% 82.50/82.54 cnf(4884,plain,
% 82.50/82.54 (P9(a3,a3,a16,a16)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,4552,2039,4554,4566,2591,4609,1151,863,144,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535])).
% 82.50/82.54 cnf(4886,plain,
% 82.50/82.54 (P9(a2,a2,a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,4552,2039,4554,4566,2591,4609,1151,863,144,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162])).
% 82.50/82.54 cnf(4890,plain,
% 82.50/82.54 (P9(a16,a16,a16,a16)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,4552,2039,4554,4566,2591,4609,1151,863,144,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440])).
% 82.50/82.54 cnf(4892,plain,
% 82.50/82.54 (P4(a3,a2,a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,4552,2039,4554,4566,2591,4609,1151,863,144,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166])).
% 82.50/82.54 cnf(4894,plain,
% 82.50/82.54 (P2(a17,a3,a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,4552,2039,4554,4566,2591,4609,1151,863,144,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181])).
% 82.50/82.54 cnf(4896,plain,
% 82.50/82.54 (P7(a19,a3,a3,a16,a19,a3,a3,a16)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,4552,2039,4554,4566,2591,4609,1151,863,144,145,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220])).
% 82.50/82.54 cnf(4906,plain,
% 82.50/82.54 (P3(f24(a16,a2,a16,a2,a18,a18),a16,a2)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,1117,4563,4552,2039,4554,4566,2591,4609,1151,863,144,145,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200])).
% 82.50/82.54 cnf(4910,plain,
% 82.50/82.54 (P9(a17,a3,a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,1117,4563,4552,4607,2039,4554,4566,2591,4609,1151,1374,863,144,145,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239])).
% 82.50/82.54 cnf(4916,plain,
% 82.50/82.54 (P5(a17,a3,a17,f26(a17,a17,a3,a3,a17))),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,1117,4563,4552,4607,2039,4554,4566,2591,4609,1151,4017,1374,863,144,145,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239,201,202,196])).
% 82.50/82.54 cnf(4920,plain,
% 82.50/82.54 (P1(a2,a2,f23(a2,a2,a2,a2))),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,1117,4563,4552,4607,2039,4554,4566,2591,4609,1151,4017,1374,2521,863,144,145,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239,201,202,196,198,243])).
% 82.50/82.54 cnf(4921,plain,
% 82.50/82.54 (P8(a2,a2,x49211,x49212,a2,a2,x49211,x49212)),
% 82.50/82.54 inference(rename_variables,[],[2521])).
% 82.50/82.54 cnf(4923,plain,
% 82.50/82.54 (P1(f15(a2,a2,a2,a2),a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,1117,4563,4552,4607,2039,4554,4566,2591,4609,1151,4017,1374,2521,4921,863,144,145,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239,201,202,196,198,243,244])).
% 82.50/82.54 cnf(4924,plain,
% 82.50/82.54 (P8(a2,a2,x49241,x49242,a2,a2,x49241,x49242)),
% 82.50/82.54 inference(rename_variables,[],[2521])).
% 82.50/82.54 cnf(4927,plain,
% 82.50/82.54 (P8(a2,a2,x49271,x49272,a2,a2,x49271,x49272)),
% 82.50/82.54 inference(rename_variables,[],[2521])).
% 82.50/82.54 cnf(4929,plain,
% 82.50/82.54 (P9(a2,f5(a2,a2,a2),a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,1117,4563,4552,4607,2039,4554,4566,2591,4609,1151,4017,1374,2521,4921,4924,863,144,145,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239,201,202,196,198,243,244,247,186])).
% 82.50/82.54 cnf(4931,plain,
% 82.50/82.54 (P9(a2,f6(a2,a2,a2),a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,1117,4563,4552,4607,2039,4554,4566,2591,4609,1151,4017,1374,2521,4921,4924,863,144,145,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239,201,202,196,198,243,244,247,186,187])).
% 82.50/82.54 cnf(4933,plain,
% 82.50/82.54 (P9(f13(a2,a2,a2,a2,a2),a2,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,1117,4563,4552,4607,2039,4554,4566,2591,4609,1151,4017,1374,2521,4921,4924,863,144,145,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239,201,202,196,198,243,244,247,186,187,195])).
% 82.50/82.54 cnf(4939,plain,
% 82.50/82.54 (P9(a18,a18,a18,a18)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,1117,4563,4552,4607,2039,4554,4566,2591,4609,1151,4017,1374,2521,4921,4924,863,144,145,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239,201,202,196,198,243,244,247,186,187,195,174,155,238])).
% 82.50/82.54 cnf(4943,plain,
% 82.50/82.54 (P4(a2,a2,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,4548,1117,4563,4552,4607,4129,2039,4564,4554,4566,2591,4609,1151,4017,1374,2521,4921,4924,4927,863,144,145,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239,201,202,196,198,243,244,247,186,187,195,174,155,238,179,233])).
% 82.50/82.54 cnf(4948,plain,
% 82.50/82.54 (P8(a19,a19,x49481,x49482,a16,a16,x49481,x49482)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,3030,4548,1117,4563,4552,4607,4129,2039,4564,4554,4566,2591,4609,2448,1151,4573,4017,1374,2521,4921,4924,4927,863,144,145,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239,201,202,196,198,243,244,247,186,187,195,174,155,238,179,233,176,259])).
% 82.50/82.54 cnf(4951,plain,
% 82.50/82.54 (P5(a17,a3,a17,a2)),
% 82.50/82.54 inference(scs_inference,[],[142,3045,3030,4548,1117,4563,4552,4607,4129,2039,4564,4554,4566,2038,2591,4609,2448,1151,4573,4017,1374,2521,4921,4924,4927,863,144,145,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239,201,202,196,198,243,244,247,186,187,195,174,155,238,179,233,176,259,180])).
% 82.50/82.54 cnf(4955,plain,
% 82.50/82.54 (P4(a16,a2,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[142,4577,3045,3030,4548,1117,4563,4552,4607,4129,2039,4564,4554,4566,2038,2591,4013,4609,2448,1151,4573,4017,1374,2521,4921,4924,4927,863,144,145,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239,201,202,196,198,243,244,247,186,187,195,174,155,238,179,233,176,259,180,177,193])).
% 82.50/82.54 cnf(4961,plain,
% 82.50/82.54 (P5(a3,a3,a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[142,4577,3045,3030,4021,4548,1117,4027,4563,4552,4607,4129,2039,4564,4554,4566,2038,2591,4013,4609,2448,1151,4573,4017,867,1374,2521,4921,4924,4927,863,144,145,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239,201,202,196,198,243,244,247,186,187,195,174,155,238,179,233,176,259,180,177,193,203,204,248])).
% 82.50/82.54 cnf(4963,plain,
% 82.50/82.54 (P1(a3,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[142,4577,3045,3030,4021,4548,1117,4027,4563,4552,4607,4129,2039,4564,4554,4566,2038,2591,4013,4609,2448,1151,4573,4017,867,1374,2521,4921,4924,4927,863,144,145,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239,201,202,196,198,243,244,247,186,187,195,174,155,238,179,233,176,259,180,177,193,203,204,248,157])).
% 82.50/82.54 cnf(4965,plain,
% 82.50/82.54 (P10(a3,a2,a2,a3)),
% 82.50/82.54 inference(scs_inference,[],[142,4577,3045,3030,4021,4548,1117,4027,4563,4552,4607,4129,2039,4564,4554,4566,2038,2591,4013,4609,2448,1151,4573,4017,867,1374,2521,4921,4924,4927,863,144,145,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239,201,202,196,198,243,244,247,186,187,195,174,155,238,179,233,176,259,180,177,193,203,204,248,157,161])).
% 82.50/82.54 cnf(4967,plain,
% 82.50/82.54 (P10(f26(a17,a17,a3,a3,a17),a3,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[142,4577,3045,3030,4021,4548,1117,4027,4563,4552,4607,4129,2039,4564,4554,4566,2038,2591,4013,4609,2448,1151,4573,4017,867,1374,2521,4921,4924,4927,863,144,145,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239,201,202,196,198,243,244,247,186,187,195,174,155,238,179,233,176,259,180,177,193,203,204,248,157,161,442])).
% 82.50/82.54 cnf(4975,plain,
% 82.50/82.54 (P9(f8(a3,a3,a3,a17),a3,a3,a17)),
% 82.50/82.54 inference(scs_inference,[],[142,4577,3045,3030,4021,4548,1117,4027,4563,4552,4607,4129,2039,4564,4554,4566,2038,2591,4013,4609,2448,1151,4573,4017,867,1374,2521,4921,4924,4927,863,144,145,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239,201,202,196,198,243,244,247,186,187,195,174,155,238,179,233,176,259,180,177,193,203,204,248,157,161,442,1119,1583,1601,184])).
% 82.50/82.54 cnf(4977,plain,
% 82.50/82.54 (P7(a1,a2,a2,a16,a2,a1,a2,a16)),
% 82.50/82.54 inference(scs_inference,[],[142,4577,3045,3030,4021,4548,1117,4027,4563,4552,4607,4129,2039,4564,4554,4566,2038,2591,4013,4609,2448,1151,4573,4017,867,1374,2521,4921,4924,4927,863,144,145,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239,201,202,196,198,243,244,247,186,187,195,174,155,238,179,233,176,259,180,177,193,203,204,248,157,161,442,1119,1583,1601,184,253])).
% 82.50/82.54 cnf(4979,plain,
% 82.50/82.54 (P8(a18,a18,a18,a18,a2,a2,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[142,4577,3045,3030,4021,4548,1117,4027,4563,4552,4607,4129,2039,4564,4554,4566,2038,2591,4013,4609,2448,1151,4573,4017,867,1374,2521,4921,4924,4927,863,144,145,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239,201,202,196,198,243,244,247,186,187,195,174,155,238,179,233,176,259,180,177,193,203,204,248,157,161,442,1119,1583,1601,184,253,4645])).
% 82.50/82.54 cnf(4981,plain,
% 82.50/82.54 (P4(a3,a3,a2,a3)),
% 82.50/82.54 inference(scs_inference,[],[142,4577,3045,3030,4021,4548,1117,4027,4563,4552,4607,4129,2039,4564,4554,4566,2038,2591,4013,4609,2448,1151,4573,4017,867,1374,2521,4921,4924,4927,863,144,145,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239,201,202,196,198,243,244,247,186,187,195,174,155,238,179,233,176,259,180,177,193,203,204,248,157,161,442,1119,1583,1601,184,253,4645,167])).
% 82.50/82.54 cnf(4983,plain,
% 82.50/82.54 (P4(a3,a3,a3,a2)),
% 82.50/82.54 inference(scs_inference,[],[142,4577,3045,3030,4021,4548,1117,4027,4563,4552,4607,4129,2039,4564,4554,4566,2038,2591,4013,4609,2448,1151,4573,4017,867,1374,2521,4921,4924,4927,863,144,145,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239,201,202,196,198,243,244,247,186,187,195,174,155,238,179,233,176,259,180,177,193,203,204,248,157,161,442,1119,1583,1601,184,253,4645,167,168])).
% 82.50/82.54 cnf(4987,plain,
% 82.50/82.54 (P2(f9(a2,a2,a2),a2,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[142,4577,3045,3030,4021,4548,1117,4027,4563,4552,4607,4129,2039,4564,4554,4566,2038,2591,4013,4609,2448,1151,4573,4017,867,1374,2521,4921,4924,4927,863,144,145,146,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239,201,202,196,198,243,244,247,186,187,195,174,155,238,179,233,176,259,180,177,193,203,204,248,157,161,442,1119,1583,1601,184,253,4645,167,168,170,188])).
% 82.50/82.54 cnf(4995,plain,
% 82.50/82.54 (P9(a3,a3,a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[142,4577,3045,3030,4021,4548,1117,4027,4563,4552,4607,4129,2039,4564,4554,4566,2038,2591,4013,4609,2448,1151,4573,4017,867,1374,2521,4921,4924,4927,863,144,145,146,862,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239,201,202,196,198,243,244,247,186,187,195,174,155,238,179,233,176,259,180,177,193,203,204,248,157,161,442,1119,1583,1601,184,253,4645,167,168,170,188,197,242,246,178])).
% 82.50/82.54 cnf(4997,plain,
% 82.50/82.54 (P1(a16,a16,a2)),
% 82.50/82.54 inference(scs_inference,[],[142,4577,3045,3030,4021,4548,1117,4027,4563,4552,4607,4129,2039,4564,4554,4566,2038,2591,4013,4609,2448,1151,4573,4017,867,1374,2521,4921,4924,4927,863,144,145,146,862,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239,201,202,196,198,243,244,247,186,187,195,174,155,238,179,233,176,259,180,177,193,203,204,248,157,161,442,1119,1583,1601,184,253,4645,167,168,170,188,197,242,246,178,152])).
% 82.50/82.54 cnf(4999,plain,
% 82.50/82.54 (P3(a3,a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[142,4577,3045,3030,4021,4548,1117,4027,1372,4563,4552,4607,4129,2039,4564,4554,4566,2038,2591,4013,4609,2448,1151,4573,4017,867,1374,2521,4921,4924,4927,863,144,145,146,862,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239,201,202,196,198,243,244,247,186,187,195,174,155,238,179,233,176,259,180,177,193,203,204,248,157,161,442,1119,1583,1601,184,253,4645,167,168,170,188,197,242,246,178,152,158])).
% 82.50/82.54 cnf(5005,plain,
% 82.50/82.54 (P3(a17,a2,a3)),
% 82.50/82.54 inference(scs_inference,[],[142,4577,3045,3030,4021,4548,1117,4027,1372,4563,4552,4607,4129,2039,4564,4554,4566,2038,2591,1115,4013,1370,4609,2448,1151,4573,4017,867,269,1374,2521,4921,4924,4927,863,144,145,146,862,143,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239,201,202,196,198,243,244,247,186,187,195,174,155,238,179,233,176,259,180,177,193,203,204,248,157,161,442,1119,1583,1601,184,253,4645,167,168,170,188,197,242,246,178,152,158,189,225,172])).
% 82.50/82.54 cnf(5011,plain,
% 82.50/82.54 (P9(a19,a19,a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[142,4577,3045,3030,4021,4548,1117,4027,1372,4563,4552,4607,4129,2039,4564,4554,4566,2038,2591,1115,4013,1370,4609,2448,1151,4573,4017,867,269,1374,2521,4921,4924,4927,863,144,145,146,862,143,148,149,150,151,153,160,164,165,221,222,223,230,509,511,513,586,887,1252,1590,4061,4736,254,255,256,781,3657,249,163,250,252,535,162,251,440,166,181,220,175,190,191,194,200,237,239,201,202,196,198,243,244,247,186,187,195,174,155,238,179,233,176,259,180,177,193,203,204,248,157,161,442,1119,1583,1601,184,253,4645,167,168,170,188,197,242,246,178,152,158,189,225,172,205,206,1268])).
% 82.50/82.54 cnf(5018,plain,
% 82.50/82.54 (P9(a17,a17,a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[4890,1594])).
% 82.50/82.54 cnf(5020,plain,
% 82.50/82.54 (P9(a19,a19,a18,a18)),
% 82.50/82.54 inference(scs_inference,[],[4884,3241])).
% 82.50/82.54 cnf(5021,plain,
% 82.50/82.54 (P9(a17,a17,a18,a18)),
% 82.50/82.54 inference(scs_inference,[],[4890,3257])).
% 82.50/82.54 cnf(5022,plain,
% 82.50/82.54 (P9(a17,a17,a18,a18)),
% 82.50/82.54 inference(scs_inference,[],[4859,3545])).
% 82.50/82.54 cnf(5024,plain,
% 82.50/82.54 (P9(a19,a19,a18,a18)),
% 82.50/82.54 inference(scs_inference,[],[4890,3609])).
% 82.50/82.54 cnf(5026,plain,
% 82.50/82.54 (P8(a19,a19,a18,a18,a2,a2,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[4880,4634])).
% 82.50/82.54 cnf(5027,plain,
% 82.50/82.54 (P8(x50271,x50272,a18,a18,x50271,x50272,a2,a2)),
% 82.50/82.54 inference(rename_variables,[],[4880])).
% 82.50/82.54 cnf(5034,plain,
% 82.50/82.54 (P10(a2,a3,a3,a2)),
% 82.50/82.54 inference(scs_inference,[],[4880,4882,4892,4965,4634,4645,221,160])).
% 82.50/82.54 cnf(5036,plain,
% 82.50/82.54 (P1(a18,a2,a16)),
% 82.50/82.54 inference(scs_inference,[],[4880,4882,4829,4892,4965,4634,4645,221,160,149])).
% 82.50/82.54 cnf(5038,plain,
% 82.50/82.54 (P7(a16,a1,a16,a2,a1,a16,a16,a2)),
% 82.50/82.54 inference(scs_inference,[],[4873,4880,4882,4829,4892,4965,4634,4645,221,160,149,255])).
% 82.50/82.54 cnf(5040,plain,
% 82.50/82.54 (P9(a18,a18,f13(a2,a2,a2,a2,a2),a2)),
% 82.50/82.54 inference(scs_inference,[],[4873,4880,4882,4829,4892,4965,4933,4634,4645,221,160,149,255,511])).
% 82.50/82.54 cnf(5042,plain,
% 82.50/82.54 (P10(a17,a3,a17,a17)),
% 82.50/82.54 inference(scs_inference,[],[4873,4880,4882,4829,4892,4910,4965,4933,4634,4645,221,160,149,255,511,4061])).
% 82.50/82.54 cnf(5044,plain,
% 82.50/82.54 (P5(a18,a2,a18,a16)),
% 82.50/82.54 inference(scs_inference,[],[4873,4880,4882,4829,4831,4892,4910,4965,4933,4634,4645,221,160,149,255,511,4061,153])).
% 82.50/82.54 cnf(5046,plain,
% 82.50/82.54 (P7(a16,a16,a16,a2,a16,a16,a16,a2)),
% 82.50/82.54 inference(scs_inference,[],[4873,4880,4882,4829,4831,4892,4910,4965,4997,4933,4634,4645,221,160,149,255,511,4061,153,781])).
% 82.50/82.54 cnf(5048,plain,
% 82.50/82.54 (P10(a2,a3,a2,a3)),
% 82.50/82.54 inference(scs_inference,[],[4873,4880,4882,4829,4831,4892,4910,4965,4997,4933,4634,4645,221,160,149,255,511,4061,153,781,161])).
% 82.50/82.54 cnf(5050,plain,
% 82.50/82.54 (P7(a16,a2,a1,a16,a16,a2,a1,a16)),
% 82.50/82.54 inference(scs_inference,[],[4873,4880,4882,4829,4831,4892,4910,4965,4997,4933,4634,4645,221,160,149,255,511,4061,153,781,161,254])).
% 82.50/82.54 cnf(5052,plain,
% 82.50/82.54 (P1(a16,a1,a2)),
% 82.50/82.54 inference(scs_inference,[],[4873,4880,4882,4827,4829,4831,4892,4910,4965,4997,4933,4634,4645,221,160,149,255,511,4061,153,781,161,254,148])).
% 82.50/82.54 cnf(5056,plain,
% 82.50/82.54 (P1(a17,a3,a17)),
% 82.50/82.54 inference(scs_inference,[],[4873,4880,4882,4827,4829,4831,4892,4910,4965,4997,4933,4906,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157])).
% 82.50/82.54 cnf(5060,plain,
% 82.50/82.54 (P10(a17,a3,a16,a16)),
% 82.50/82.54 inference(scs_inference,[],[4995,4873,4880,4882,4827,4829,4831,4892,4910,4965,4997,4933,4906,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601])).
% 82.50/82.54 cnf(5062,plain,
% 82.50/82.54 (P7(a1,a16,a1,a16,a16,a2,a16,a2)),
% 82.50/82.54 inference(scs_inference,[],[4995,4873,4880,4882,4827,4829,4831,4892,4910,4965,4997,4933,4906,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256])).
% 82.50/82.54 cnf(5064,plain,
% 82.50/82.54 (P7(a2,a16,a2,a16,a1,a2,a1,a2)),
% 82.50/82.54 inference(scs_inference,[],[4995,4873,4880,4882,4827,4829,4831,4871,4892,4910,4965,4997,4933,4906,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253])).
% 82.50/82.54 cnf(5068,plain,
% 82.50/82.54 (P1(a17,a2,a3)),
% 82.50/82.54 inference(scs_inference,[],[4995,5005,4873,4880,4882,4827,4829,4831,4871,4892,4910,4965,4997,4916,4933,4906,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150])).
% 82.50/82.54 cnf(5070,plain,
% 82.50/82.54 (P8(x50701,x50702,a18,a18,x50701,x50702,a16,a16)),
% 82.50/82.54 inference(scs_inference,[],[4995,5005,4873,4843,4880,4882,4827,4829,4831,4871,4892,4910,4965,4997,4916,4933,4906,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250])).
% 82.50/82.54 cnf(5072,plain,
% 82.50/82.54 (P5(a18,a16,a2,a18)),
% 82.50/82.54 inference(scs_inference,[],[4995,5005,4873,4843,4880,4882,4827,4829,4831,4833,4871,4892,4910,4965,4997,4916,4933,4906,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165])).
% 82.50/82.54 cnf(5074,plain,
% 82.50/82.54 (P10(a17,a3,a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[4995,5005,4873,4843,4880,4882,4827,4829,4831,4833,4871,4892,4910,4965,4997,4916,4933,4906,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583])).
% 82.50/82.54 cnf(5076,plain,
% 82.50/82.54 (P8(a18,a18,x50761,x50762,a17,a17,x50761,x50762)),
% 82.50/82.54 inference(scs_inference,[],[4995,5005,4873,4863,4843,4880,4882,4827,4829,4831,4833,4871,4892,4910,4965,4997,4916,4933,4906,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222])).
% 82.50/82.54 cnf(5078,plain,
% 82.50/82.54 (P8(a16,a16,x50781,x50782,a18,a18,x50781,x50782)),
% 82.50/82.54 inference(scs_inference,[],[4995,5005,4873,4863,4843,4880,4882,4827,4829,4831,4833,4871,4892,4910,4965,4997,4916,4933,4906,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249])).
% 82.50/82.54 cnf(5080,plain,
% 82.50/82.54 (P8(a17,a2,a2,a2,a2,a2,a17,a2)),
% 82.50/82.54 inference(scs_inference,[],[4995,5005,4873,4839,4863,4843,4880,4882,4827,4829,4831,4833,4871,4892,4910,4965,4997,4916,4933,4906,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223])).
% 82.50/82.54 cnf(5082,plain,
% 82.50/82.54 (P10(a17,a3,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[4995,5005,4873,4839,4863,4843,4880,4882,4827,4829,4831,4833,4871,4892,4910,4965,4997,4916,4933,4906,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442])).
% 82.50/82.54 cnf(5086,plain,
% 82.50/82.54 (P8(a18,a18,a16,a16,x50861,x50862,x50861,x50862)),
% 82.50/82.54 inference(scs_inference,[],[4995,5005,4873,4839,4863,4843,4880,4882,4827,4829,4831,4833,4871,4892,4910,4965,4997,4916,4933,4906,4975,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252])).
% 82.50/82.54 cnf(5090,plain,
% 82.50/82.54 (P8(x50901,x50902,a18,a18,x50902,x50901,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[4995,5005,4849,4873,4839,4863,4843,4880,5027,4882,4827,4829,4831,4833,4871,4892,4910,4965,4997,4916,4933,4906,4975,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251])).
% 82.50/82.54 cnf(5092,plain,
% 82.50/82.54 (P4(a2,a16,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[4995,5005,4849,4873,4839,4863,4843,4880,5027,4882,4827,4829,4831,4833,4871,4892,4910,4955,4965,4997,4916,4933,4906,4975,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166])).
% 82.50/82.54 cnf(5094,plain,
% 82.50/82.54 (P5(a3,a3,a3,f4(a3,a3,a3))),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4843,4880,5027,4882,4827,4829,4831,4833,4871,4892,4910,4955,4965,4997,4916,4933,4906,4975,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185])).
% 82.50/82.54 cnf(5100,plain,
% 82.50/82.54 (P2(a3,a3,a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4869,4843,4880,5027,4882,4827,4829,4831,4833,4871,4892,4910,4955,4965,4977,4997,4916,4933,4906,4975,1374,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181])).
% 82.50/82.54 cnf(5109,plain,
% 82.50/82.54 (P7(a17,a2,a2,a3,a17,a2,a2,a3)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4869,4843,4880,5027,4882,4827,4829,4831,4833,4871,4892,4910,4955,4965,4977,4997,4916,4967,4933,4906,4975,1374,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220])).
% 82.50/82.54 cnf(5111,plain,
% 82.50/82.54 (P1(a3,a3,f4(a3,a3,a3))),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4869,4843,4880,5027,4882,4827,4829,4831,4833,4871,4892,4910,4955,4965,4977,4997,4916,4967,4933,4906,4975,1374,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173])).
% 82.50/82.54 cnf(5119,plain,
% 82.50/82.54 (P3(f24(a2,a3,a2,a3,a17,a17),a2,a3)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4869,4843,4880,5027,4882,4827,4829,4831,4833,4871,4892,4910,4955,4963,4965,4977,4997,4916,4967,4933,4906,4975,1374,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200])).
% 82.50/82.54 cnf(5125,plain,
% 82.50/82.54 (P9(a3,f5(a3,a3,a3),a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4869,4843,4880,5027,4882,4827,4829,4831,4833,4871,4892,4910,4955,4963,4965,4977,4997,4916,4967,4933,4906,4975,1374,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186])).
% 82.50/82.54 cnf(5127,plain,
% 82.50/82.54 (P1(f6(a3,a3,a3),a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4869,4843,4880,5027,4882,4827,4829,4831,4833,4871,4892,4910,4955,4963,4965,4977,4997,4916,4967,4933,4906,4975,1374,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186,175])).
% 82.50/82.54 cnf(5129,plain,
% 82.50/82.54 (P5(a18,a16,a18,f26(a18,a18,a16,a2,a18))),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4939,4869,4843,4880,5027,4882,4827,4829,4831,4833,4871,4892,4910,4955,4963,4965,4977,4997,4916,4967,4933,4906,4975,1374,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186,175,197])).
% 82.50/82.54 cnf(5131,plain,
% 82.50/82.54 (P2(f9(a3,a3,a3),a3,a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4939,4869,4843,4880,5027,4882,4827,4829,4831,4833,4871,4892,4910,4955,4963,4965,4977,4983,4997,4916,4967,4933,4906,4975,1374,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186,175,197,188])).
% 82.50/82.54 cnf(5135,plain,
% 82.50/82.54 (P10(f26(a3,a3,a3,a3,a3),a3,a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4939,4869,4843,4880,5027,4882,4827,4829,4831,4833,4871,4892,4910,4955,4963,4965,4977,4983,4997,4916,4967,4933,4906,4975,1374,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186,175,197,188,202,198])).
% 82.50/82.54 cnf(5137,plain,
% 82.50/82.54 (P9(f13(a3,a3,a3,a2,a2),a3,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4939,4869,4843,4880,5027,4882,4827,4829,4831,4833,4871,4892,4910,4955,4963,4965,4977,4983,4997,4916,4967,4933,4906,4975,1374,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186,175,197,188,202,198,195])).
% 82.50/82.54 cnf(5139,plain,
% 82.50/82.54 (P9(a3,f6(a3,a3,a3),a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4939,4869,4843,4880,5027,4882,4827,4829,4831,4833,4871,4892,4910,4955,4963,4965,4977,4983,4997,4916,4967,4933,4906,4975,1374,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186,175,197,188,202,198,195,187])).
% 82.50/82.54 cnf(5143,plain,
% 82.50/82.54 (P9(a18,a18,a19,a19)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4939,4869,4843,4880,5027,4882,4827,4829,4831,4833,4861,4871,4892,4910,4955,4963,4965,4977,4983,4997,4916,4967,4933,4906,4975,1374,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186,175,197,188,202,198,195,187,174,238])).
% 82.50/82.54 cnf(5145,plain,
% 82.50/82.54 (P4(a3,a3,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4939,4869,4843,4880,5027,4882,4827,4829,4831,4833,4861,4871,4892,4910,4955,4963,4965,4977,4983,4997,4916,4967,4933,4906,4975,1374,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186,175,197,188,202,198,195,187,174,238,182])).
% 82.50/82.54 cnf(5147,plain,
% 82.50/82.54 (P4(a2,f23(a2,a2,a2,a2),a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4939,4869,4843,4880,5027,4882,4827,4829,4831,4833,4861,4871,4892,4910,4955,4963,4965,4977,4983,4997,4916,4967,4933,4906,4920,4975,1374,2521,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186,175,197,188,202,198,195,187,174,238,182,233])).
% 82.50/82.54 cnf(5148,plain,
% 82.50/82.54 (P8(a2,a2,x51481,x51482,a2,a2,x51481,x51482)),
% 82.50/82.54 inference(rename_variables,[],[2521])).
% 82.50/82.54 cnf(5150,plain,
% 82.50/82.54 (P8(a3,a3,a3,a3,a17,a3,a17,a3)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4939,4999,4869,4843,4880,5027,4882,4827,4829,4831,4833,4861,4871,4892,4894,4910,4955,4963,4965,4977,4983,4997,4916,4967,4933,4906,4920,4975,1374,2521,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186,175,197,188,202,198,195,187,174,238,182,233,224])).
% 82.50/82.54 cnf(5152,plain,
% 82.50/82.54 (P3(f7(a3,a3,a3),a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4939,4999,4869,4843,4880,5027,4882,4827,4829,4831,4833,4861,4871,4892,4894,4910,4955,4963,4965,4977,4983,4997,4916,4967,4933,4906,4920,4975,1374,2521,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186,175,197,188,202,198,195,187,174,238,182,233,224,183])).
% 82.50/82.54 cnf(5154,plain,
% 82.50/82.54 (P4(a3,a2,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4939,4999,4869,4843,4880,5027,4882,4827,4829,4831,4833,4861,4871,4892,4894,4910,4951,4955,4963,4965,4977,4983,4997,4916,4967,4933,4906,4920,4975,1374,2521,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186,175,197,188,202,198,195,187,174,238,182,233,224,183,193])).
% 82.50/82.54 cnf(5158,plain,
% 82.50/82.54 (P5(a2,a2,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4939,4999,4869,4943,4843,4880,5027,4882,4827,4829,4831,4833,4861,4871,4892,4894,4910,4951,4955,4963,4965,4977,4983,4997,4916,4967,4933,4906,4920,4975,1115,1374,2521,5148,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186,175,197,188,202,198,195,187,174,238,182,233,224,183,193,203,248])).
% 82.50/82.54 cnf(5159,plain,
% 82.50/82.54 (P8(a2,a2,x51591,x51592,a2,a2,x51591,x51592)),
% 82.50/82.54 inference(rename_variables,[],[2521])).
% 82.50/82.54 cnf(5163,plain,
% 82.50/82.54 (P3(f20(a3,x51631),a3,x51631)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4939,4999,4869,4943,4843,4880,5027,4882,4827,4829,4831,4833,4861,4871,4892,4894,4910,4951,4955,4963,4965,4977,4983,4997,4916,4967,4933,4906,4920,4975,1372,1115,1374,2521,5148,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186,175,197,188,202,198,195,187,174,238,182,233,224,183,193,203,248,204,156])).
% 82.50/82.54 cnf(5165,plain,
% 82.50/82.54 (P7(a17,a3,a3,a17,a17,a3,a3,a17)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4939,4999,4869,4943,4843,4880,5027,4882,4827,4829,4831,4833,4861,4871,4892,4894,4910,4951,4955,4963,4965,4977,4983,4997,4916,4967,4933,4906,4920,4975,1372,1115,1374,2521,5148,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186,175,197,188,202,198,195,187,174,238,182,233,224,183,193,203,248,204,156,4327])).
% 82.50/82.54 cnf(5167,plain,
% 82.50/82.54 (P10(a16,a16,a17,a17)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4939,4999,4869,4943,4843,4880,5027,4882,4827,4829,4831,4833,4861,4871,4892,4894,4910,4951,4955,4963,4965,4977,4983,4997,4916,4967,4933,4906,4920,4975,1372,1115,1374,2521,5148,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186,175,197,188,202,198,195,187,174,238,182,233,224,183,193,203,248,204,156,4327,4251])).
% 82.50/82.54 cnf(5173,plain,
% 82.50/82.54 (P9(f8(a3,a3,a3,a3),a3,a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4939,4999,4869,4943,4843,4880,5027,4882,4827,4829,4831,4833,4861,4871,4892,4894,4910,4951,4955,4963,4965,4977,4983,4997,4916,4967,4933,4906,4920,4975,1372,1115,1374,2521,5148,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186,175,197,188,202,198,195,187,174,238,182,233,224,183,193,203,248,204,156,4327,4251,544,602,184])).
% 82.50/82.54 cnf(5175,plain,
% 82.50/82.54 (P4(a2,a2,a16,a2)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4939,4999,4869,4943,4843,4880,5027,4882,4827,4829,4831,4833,4861,4871,4892,4894,4910,4951,4955,4963,4965,4977,4983,4997,4916,4967,4933,4906,4920,4975,1372,1115,1374,2521,5148,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186,175,197,188,202,198,195,187,174,238,182,233,224,183,193,203,248,204,156,4327,4251,544,602,184,167])).
% 82.50/82.54 cnf(5177,plain,
% 82.50/82.54 (P4(a2,a2,a2,a16)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4939,4999,4869,4943,4843,4880,5027,4882,4827,4829,4831,4833,4861,4871,4892,4894,4910,4951,4955,4963,4965,4977,4983,4997,4916,4967,4933,4906,4920,4975,1372,1115,1374,2521,5148,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186,175,197,188,202,198,195,187,174,238,182,233,224,183,193,203,248,204,156,4327,4251,544,602,184,167,168])).
% 82.50/82.54 cnf(5181,plain,
% 82.50/82.54 (P1(a2,a2,f22(a2,a2,a2,a2))),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4939,4999,4869,4943,4843,4880,5027,4882,4827,4829,4831,4833,4861,4871,4892,4894,4910,4951,4955,4963,4965,4977,4983,4997,4916,4967,4933,4906,4920,4975,1372,1115,1374,2521,5148,5159,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186,175,197,188,202,198,195,187,174,238,182,233,224,183,193,203,248,204,156,4327,4251,544,602,184,167,168,217,242])).
% 82.50/82.54 cnf(5182,plain,
% 82.50/82.54 (P8(a2,a2,x51821,x51822,a2,a2,x51821,x51822)),
% 82.50/82.54 inference(rename_variables,[],[2521])).
% 82.50/82.54 cnf(5187,plain,
% 82.50/82.54 (P8(a3,a2,a2,a2,a2,a2,a2,a3)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4939,4999,4869,4943,4843,4880,5027,4882,4827,4829,4831,4833,4861,4871,4892,4894,4910,4951,4955,4963,4965,4977,4983,4997,4916,4967,4933,4906,4920,4975,1372,1115,269,1374,2521,5148,5159,5182,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186,175,197,188,202,198,195,187,174,238,182,233,224,183,193,203,248,204,156,4327,4251,544,602,184,167,168,217,242,246,227])).
% 82.50/82.54 cnf(5191,plain,
% 82.50/82.54 (P3(a3,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4939,4999,4869,4943,4843,4880,5027,4882,4827,4829,4831,4833,4847,4861,4871,4892,4894,4910,4951,4955,4963,4965,4977,4983,4997,4916,4967,4933,4906,4920,4975,1372,1115,269,1374,2521,5148,5159,5182,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186,175,197,188,202,198,195,187,174,238,182,233,224,183,193,203,248,204,156,4327,4251,544,602,184,167,168,217,242,246,227,189,172])).
% 82.50/82.54 cnf(5193,plain,
% 82.50/82.54 (P7(a3,a2,a2,a2,a3,a2,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4939,4999,4869,4943,4843,4880,5027,4882,4827,4829,4831,4833,4847,4861,4871,4892,4894,4910,4951,4955,4963,4965,4977,4983,4997,4916,4967,4933,4906,4920,4975,1372,1115,269,1374,2521,5148,5159,5182,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186,175,197,188,202,198,195,187,174,238,182,233,224,183,193,203,248,204,156,4327,4251,544,602,184,167,168,217,242,246,227,189,172,225])).
% 82.50/82.54 cnf(5195,plain,
% 82.50/82.54 (P1(a16,a1,a16)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4939,4999,4869,4943,4843,4880,5027,4882,4827,4829,4831,4833,4847,4861,4871,4892,4894,4910,4951,4955,4963,4965,4977,4983,4997,4916,4967,4933,4906,4920,4975,1372,1115,269,1374,2521,5148,5159,5182,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186,175,197,188,202,198,195,187,174,238,182,233,224,183,193,203,248,204,156,4327,4251,544,602,184,167,168,217,242,246,227,189,172,225,3015])).
% 82.50/82.54 cnf(5196,plain,
% 82.50/82.54 (P1(a1,a16,a16)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4939,4999,4869,4943,4843,4880,5027,4882,4827,4829,4831,4833,4847,4861,4871,4892,4894,4910,4951,4955,4963,4965,4977,4983,4997,4916,4967,4933,4906,4920,4975,1372,1115,269,1374,2521,5148,5159,5182,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186,175,197,188,202,198,195,187,174,238,182,233,224,183,193,203,248,204,156,4327,4251,544,602,184,167,168,217,242,246,227,189,172,225,3015,3044])).
% 82.50/82.54 cnf(5197,plain,
% 82.50/82.54 (P7(a1,a16,a16,a16,a1,a16,a16,a16)),
% 82.50/82.54 inference(scs_inference,[],[4961,4995,5005,4849,4873,4839,4863,4939,4999,4869,4943,4843,4880,5027,4882,4827,4829,4831,4833,4847,4861,4871,4892,4894,4910,4951,4955,4963,4965,4977,4983,4997,4916,4967,4933,4906,4920,4975,1372,1115,269,1374,2521,5148,5159,5182,4634,4645,221,160,149,255,511,4061,153,781,161,254,148,151,157,1252,1601,256,253,164,150,250,165,1583,222,249,223,442,163,252,162,251,166,185,245,260,181,237,196,243,220,173,194,191,247,200,201,190,186,175,197,188,202,198,195,187,174,238,182,233,224,183,193,203,248,204,156,4327,4251,544,602,184,167,168,217,242,246,227,189,172,225,3015,3044,3081])).
% 82.50/82.54 cnf(5199,plain,
% 82.50/82.54 (~P10(a2,a3,a3,a3)+P8(x51991,x51992,x51993,x51994,a3,a3,a3,a3)+~P8(x51991,x51992,x51993,x51994,a2,a3,a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[5068,875])).
% 82.50/82.54 cnf(5201,plain,
% 82.50/82.54 (P8(a18,a18,a18,a18,a2,a2,a16,a16)),
% 82.50/82.54 inference(scs_inference,[],[5070,4645])).
% 82.50/82.54 cnf(5202,plain,
% 82.50/82.54 (P8(x52021,x52022,a18,a18,x52021,x52022,a16,a16)),
% 82.50/82.54 inference(rename_variables,[],[5070])).
% 82.50/82.54 cnf(5204,plain,
% 82.50/82.54 (P7(a16,a2,a1,a2,a2,a16,a1,a2)),
% 82.50/82.54 inference(scs_inference,[],[4867,5070,4645,255])).
% 82.50/82.54 cnf(5206,plain,
% 82.50/82.54 (P5(a3,a2,a3,a2)),
% 82.50/82.54 inference(scs_inference,[],[4867,5070,5191,4645,255,153])).
% 82.50/82.54 cnf(5208,plain,
% 82.50/82.54 (P8(a19,a19,a18,a18,a2,a2,a16,a16)),
% 82.50/82.54 inference(scs_inference,[],[4867,5070,5202,5191,4645,255,153,4634])).
% 82.50/82.54 cnf(5209,plain,
% 82.50/82.54 (P8(x52091,x52092,a18,a18,x52091,x52092,a16,a16)),
% 82.50/82.54 inference(rename_variables,[],[5070])).
% 82.50/82.54 cnf(5211,plain,
% 82.50/82.54 (P1(a17,a3,a2)),
% 82.50/82.54 inference(scs_inference,[],[4867,5068,5070,5202,5191,4645,255,153,4634,149])).
% 82.50/82.54 cnf(5213,plain,
% 82.50/82.54 (P10(a16,a16,a17,a3)),
% 82.50/82.54 inference(scs_inference,[],[4867,5060,5068,5070,5202,5191,4645,255,153,4634,149,160])).
% 82.50/82.54 cnf(5215,plain,
% 82.50/82.54 (P3(f20(a3,x52151),x52151,a3)),
% 82.50/82.54 inference(scs_inference,[],[4867,5060,5068,5070,5202,5191,5163,4645,255,153,4634,149,160,151])).
% 82.50/82.54 cnf(5217,plain,
% 82.50/82.54 (P7(a17,a3,a3,a2,a17,a3,a3,a2)),
% 82.50/82.54 inference(scs_inference,[],[4867,5060,5068,5070,5202,5191,5163,4645,255,153,4634,149,160,151,793])).
% 82.50/82.54 cnf(5219,plain,
% 82.50/82.54 (P1(f20(a3,x52191),a3,x52191)),
% 82.50/82.54 inference(scs_inference,[],[4867,5060,5068,5070,5202,5191,5163,4645,255,153,4634,149,160,151,793,150])).
% 82.50/82.54 cnf(5221,plain,
% 82.50/82.54 (P9(a18,a18,f13(a3,a3,a3,a2,a2),a3)),
% 82.50/82.54 inference(scs_inference,[],[4867,5060,5068,5070,5202,5191,5163,5137,4645,255,153,4634,149,160,151,793,150,511])).
% 82.50/82.54 cnf(5225,plain,
% 82.50/82.54 (P5(a2,a18,a18,a16)),
% 82.50/82.54 inference(scs_inference,[],[4981,4867,5060,5068,5070,5202,5072,5191,5163,5137,4645,255,153,4634,149,160,151,793,150,511,221,164])).
% 82.50/82.54 cnf(5227,plain,
% 82.50/82.54 (P5(a2,a17,a3,a17)),
% 82.50/82.54 inference(scs_inference,[],[4981,4857,4867,5060,5068,5070,5202,5072,5191,5163,5137,4645,255,153,4634,149,160,151,793,150,511,221,164,165])).
% 82.50/82.54 cnf(5231,plain,
% 82.50/82.54 (P1(a2,a17,a3)),
% 82.50/82.54 inference(scs_inference,[],[4981,4857,4867,5060,5068,5070,5202,5072,5191,5163,5135,5137,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148])).
% 82.50/82.54 cnf(5235,plain,
% 82.50/82.54 (P7(a17,a2,a17,a2,a2,a3,a2,a3)),
% 82.50/82.54 inference(scs_inference,[],[4981,4857,4867,5109,5060,5068,5070,5202,5072,5191,5163,5135,5137,5139,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256])).
% 82.50/82.54 cnf(5237,plain,
% 82.50/82.54 (P1(a2,a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[4981,4857,4867,5109,5060,5068,5070,5202,5048,5072,5191,5163,5135,5137,5139,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157])).
% 82.50/82.54 cnf(5241,plain,
% 82.50/82.54 (P8(x52411,x52412,a18,a18,x52411,x52412,a17,a17)),
% 82.50/82.54 inference(scs_inference,[],[4981,4857,4867,5109,5060,5068,5070,5202,5076,5048,5072,5191,5163,5135,5137,5139,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250])).
% 82.50/82.54 cnf(5243,plain,
% 82.50/82.54 (P8(a2,a3,x52431,x52432,a3,a2,x52431,x52432)),
% 82.50/82.54 inference(scs_inference,[],[4981,4857,4867,5034,5109,5060,5068,5070,5202,5076,5048,5072,5191,5163,5135,5137,5139,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222])).
% 82.50/82.54 cnf(5245,plain,
% 82.50/82.54 (P10(a16,a16,a3,a17)),
% 82.50/82.54 inference(scs_inference,[],[4981,4857,4867,5034,5109,5060,5068,5070,5202,5076,5048,5072,5191,5163,5135,5137,5139,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161])).
% 82.50/82.54 cnf(5247,plain,
% 82.50/82.54 (P10(a3,f6(a3,a3,a3),a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[4981,4857,4867,5034,5109,5060,5068,5070,5202,5076,5048,5072,5191,5163,5135,5137,5139,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583])).
% 82.50/82.54 cnf(5251,plain,
% 82.50/82.54 (P7(a1,a16,a16,a2,a16,a1,a16,a2)),
% 82.50/82.54 inference(scs_inference,[],[4981,4857,4867,5034,5109,5060,5068,5070,5202,5076,5038,5048,5072,5191,5163,5135,5040,5137,5139,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253])).
% 82.50/82.54 cnf(5253,plain,
% 82.50/82.54 (P8(a18,a2,a2,a16,a2,a16,a18,a16)),
% 82.50/82.54 inference(scs_inference,[],[4981,4857,4867,5034,5109,5044,5060,5068,5070,5202,5076,5038,5048,5072,5191,5163,5135,5040,5137,5139,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223])).
% 82.50/82.54 cnf(5263,plain,
% 82.50/82.54 (P8(x52631,x52632,a18,a18,x52632,x52631,a16,a16)),
% 82.50/82.54 inference(scs_inference,[],[5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5038,5048,5072,5191,5163,5135,5040,5137,5139,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251])).
% 82.50/82.54 cnf(5265,plain,
% 82.50/82.54 (P4(a3,a2,a3,a2)),
% 82.50/82.54 inference(scs_inference,[],[5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5038,5048,5072,5145,5191,5163,5135,5040,5137,5139,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167])).
% 82.50/82.54 cnf(5267,plain,
% 82.50/82.54 (P4(a2,a3,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5038,5048,5072,5145,5154,5191,5163,5135,5040,5137,5139,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166])).
% 82.50/82.54 cnf(5269,plain,
% 82.50/82.54 (P4(a3,a2,a2,a3)),
% 82.50/82.54 inference(scs_inference,[],[5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5038,5048,5072,5145,5154,5191,5163,5135,5040,5137,5139,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168])).
% 82.50/82.54 cnf(5271,plain,
% 82.50/82.54 (P2(a2,a2,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5038,5048,5072,5145,5154,5191,5163,5135,5040,5137,5139,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181])).
% 82.50/82.54 cnf(5273,plain,
% 82.50/82.54 (P5(a2,a2,a2,f4(a2,a2,a2))),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5038,5048,5072,5145,5154,5191,5163,5135,5040,5137,5139,4566,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185])).
% 82.50/82.54 cnf(5275,plain,
% 82.50/82.54 (P1(f13(a18,a18,a18,a2,a16),a2,a16)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5036,5038,5048,5072,5145,5154,5191,5163,5135,5040,5137,5139,4939,4566,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194])).
% 82.50/82.54 cnf(5281,plain,
% 82.50/82.54 (P7(a3,a2,a2,a2,f20(a3,x52811),a3,a3,x52811)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5036,5038,5048,5072,5145,5154,5187,5191,5163,5135,5040,5137,5139,4855,4886,4939,4566,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220])).
% 82.50/82.54 cnf(5285,plain,
% 82.50/82.54 (P5(f13(a3,a3,a3,a2,a2),a2,f13(a3,a3,a3,a2,a2),a2)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5036,5038,5048,5072,5145,5154,5187,5191,5163,5135,5040,5137,5139,4855,4886,4939,4566,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170])).
% 82.50/82.54 cnf(5300,plain,
% 82.50/82.54 (P1(a2,a2,f4(a2,a2,a2))),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5036,5038,5048,5072,5145,5154,5187,5191,5163,5135,5040,5137,5139,4855,4886,4939,4566,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170,201,196,237,242,186,198,173])).
% 82.50/82.54 cnf(5308,plain,
% 82.50/82.54 (P3(f24(a2,a2,a2,a2,a3,a3),a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5036,5038,5048,5072,5145,5154,5187,5191,5163,5135,5040,5137,5139,4855,4886,4939,4831,4839,4011,4566,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170,201,196,237,242,186,198,173,247,202,191,200])).
% 82.50/82.54 cnf(5310,plain,
% 82.50/82.54 (P1(f22(a2,a2,a3,a2),a3,a2)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5036,5038,5048,5072,5145,5154,5187,5191,5163,5135,5040,5137,5139,4855,4886,4939,4831,4839,4011,4566,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170,201,196,237,242,186,198,173,247,202,191,200,246])).
% 82.50/82.54 cnf(5312,plain,
% 82.50/82.54 (P1(a2,a2,f21(a2,a2,a17,a17))),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5036,5038,5048,5072,5145,5154,5187,5191,5163,5135,5040,5137,5139,4855,4886,4939,4831,4839,4011,4566,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170,201,196,237,242,186,198,173,247,202,191,200,246,190])).
% 82.50/82.54 cnf(5314,plain,
% 82.50/82.54 (P9(f13(a18,a18,a18,a2,a16),a18,a2,a16)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5036,5038,5048,5072,5145,5154,5187,5191,5163,5135,5040,5137,5139,4855,4886,4939,4831,4839,4011,4566,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170,201,196,237,242,186,198,173,247,202,191,200,246,190,195])).
% 82.50/82.54 cnf(5316,plain,
% 82.50/82.54 (P9(a19,f6(a19,a19,a19),a19,a19)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5036,5038,5048,5072,5145,5154,5187,5191,5163,5135,5040,5137,5139,4855,4886,4939,4831,4839,4011,4566,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170,201,196,237,242,186,198,173,247,202,191,200,246,190,195,187])).
% 82.50/82.54 cnf(5323,plain,
% 82.50/82.54 (P9(a2,a3,a17,a17)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5078,5036,5038,5048,5072,5143,5145,5154,5187,5191,5163,5135,5040,5137,5139,4855,4886,4939,4831,4839,4011,4566,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170,201,196,237,242,186,198,173,247,202,191,200,246,190,195,187,174,238,178])).
% 82.50/82.54 cnf(5325,plain,
% 82.50/82.54 (P4(a2,f22(a2,a2,a2,a2),a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5078,5036,5038,5048,5072,5143,5145,5154,5187,5191,5163,5135,5040,5137,5139,5181,4855,4886,4939,4831,4839,4011,4566,2521,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170,201,196,237,242,186,198,173,247,202,191,200,246,190,195,187,174,238,178,233])).
% 82.50/82.54 cnf(5326,plain,
% 82.50/82.54 (P8(a2,a2,x53261,x53262,a2,a2,x53261,x53262)),
% 82.50/82.54 inference(rename_variables,[],[2521])).
% 82.50/82.54 cnf(5332,plain,
% 82.50/82.54 (P3(a2,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5078,5036,5038,5048,5072,5100,5143,5145,5154,5187,5191,5163,5135,5040,5137,5139,5152,5181,4855,4886,4939,4831,4910,4839,4011,1117,4566,2521,5326,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170,201,196,237,242,186,198,173,247,202,191,200,246,190,195,187,174,238,178,233,171,224,236])).
% 82.50/82.54 cnf(5333,plain,
% 82.50/82.54 (P8(a2,a2,x53331,x53332,a2,a2,x53331,x53332)),
% 82.50/82.54 inference(rename_variables,[],[2521])).
% 82.50/82.54 cnf(5335,plain,
% 82.50/82.54 (P3(f6(a3,a3,a3),a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5078,5036,5038,5048,5072,5100,5143,5145,5154,5187,5191,5163,5135,5040,5137,5139,5127,5152,5181,4855,4886,4939,4831,4910,4839,4999,4011,1117,4566,2521,5326,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170,201,196,237,242,186,198,173,247,202,191,200,246,190,195,187,174,238,178,233,171,224,236,159])).
% 82.50/82.54 cnf(5337,plain,
% 82.50/82.54 (P9(a3,a3,a3,a2)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5078,5036,5038,5048,5072,5100,5143,5145,5154,5187,5191,5163,5135,5040,5137,5139,5127,5152,5181,4855,4886,4939,4831,4910,4839,4983,4999,4011,1117,4961,4566,2521,5326,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170,201,196,237,242,186,198,173,247,202,191,200,246,190,195,187,174,238,178,233,171,224,236,159,192])).
% 82.50/82.54 cnf(5339,plain,
% 82.50/82.54 (P3(f7(a2,a2,a2),a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5078,5036,5038,5048,5072,5100,5143,5145,5154,5187,5191,5163,5135,5040,5137,5139,5127,5152,5181,4855,4886,4939,4831,4910,4839,4983,4999,4011,1117,4961,4566,2521,5326,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170,201,196,237,242,186,198,173,247,202,191,200,246,190,195,187,174,238,178,233,171,224,236,159,192,183])).
% 82.50/82.54 cnf(5347,plain,
% 82.50/82.54 (P1(f14(a16,a16,a16,a16,a1,a1),a16,a16)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5078,5036,5038,5048,5072,5100,5143,5145,5154,5187,5191,5196,5163,5135,5040,5137,5139,5127,5152,5181,4855,4886,4939,4831,4910,4839,4983,4999,4011,1372,1117,4961,1179,1115,4566,2521,5326,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170,201,196,237,242,186,198,173,247,202,191,200,246,190,195,187,174,238,178,233,171,224,236,159,192,183,203,206,205,204])).
% 82.50/82.54 cnf(5349,plain,
% 82.50/82.54 (P3(f20(a17,x53491),a17,x53491)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5078,5036,5038,5048,5072,5100,5143,5145,5154,5187,5191,5196,5163,5135,5040,5137,5139,5127,5152,5181,4855,4886,4939,4831,4910,4839,4983,4999,4011,1372,1117,4961,1179,1115,4566,2521,5326,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170,201,196,237,242,186,198,173,247,202,191,200,246,190,195,187,174,238,178,233,171,224,236,159,192,183,203,206,205,204,156])).
% 82.50/82.54 cnf(5351,plain,
% 82.50/82.54 (P5(a3,a17,a3,a17)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5078,5036,5038,5048,5072,5100,5143,5145,5154,5187,5191,5196,5163,5135,5040,5137,5139,5127,5152,5181,4855,4886,4939,4831,4910,4839,4983,4999,4011,1372,1117,4961,1179,1115,4566,2521,5326,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170,201,196,237,242,186,198,173,247,202,191,200,246,190,195,187,174,238,178,233,171,224,236,159,192,183,203,206,205,204,156,273])).
% 82.50/82.54 cnf(5361,plain,
% 82.50/82.54 (P10(a19,f5(a19,a19,a19),a16,a16)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5078,5036,5038,5048,5072,5100,5143,5145,5154,5187,5191,5196,5163,5135,5040,5137,5139,5127,5152,5181,4855,4886,4939,4831,4910,4839,4983,4999,4011,1372,1117,4961,1179,1115,4566,2521,5326,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170,201,196,237,242,186,198,173,247,202,191,200,246,190,195,187,174,238,178,233,171,224,236,159,192,183,203,206,205,204,156,273,1606,1340,4083,4701,4714])).
% 82.50/82.54 cnf(5365,plain,
% 82.50/82.54 (P9(a17,a17,a3,a2)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5078,5036,5038,5048,5072,5100,5143,5145,5154,5187,5191,5196,5163,5135,5040,5137,5139,5127,5152,5181,4855,4886,4939,4831,4910,4839,4983,4999,4011,1372,1117,4961,1179,1115,4566,2521,5326,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170,201,196,237,242,186,198,173,247,202,191,200,246,190,195,187,174,238,178,233,171,224,236,159,192,183,203,206,205,204,156,273,1606,1340,4083,4701,4714,1238,1560])).
% 82.50/82.54 cnf(5367,plain,
% 82.50/82.54 (P9(a18,a18,a3,a2)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5078,5036,5038,5048,5072,5100,5143,5145,5154,5187,5191,5196,5163,5135,5040,5137,5139,5127,5152,5181,4855,4886,4939,4831,4910,4839,4983,4999,4011,1372,1117,4961,1179,1115,4566,2521,5326,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170,201,196,237,242,186,198,173,247,202,191,200,246,190,195,187,174,238,178,233,171,224,236,159,192,183,203,206,205,204,156,273,1606,1340,4083,4701,4714,1238,1560,3036])).
% 82.50/82.54 cnf(5375,plain,
% 82.50/82.54 (P10(a19,f5(a19,a19,a19),a18,a18)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5078,5036,5038,5048,5072,5100,5143,5145,5154,5187,5191,5196,5163,5135,5040,5137,5139,5127,5152,5181,4855,4886,4939,4831,4910,4839,4983,4999,4011,1372,1117,4961,1179,1115,4566,2521,5326,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170,201,196,237,242,186,198,173,247,202,191,200,246,190,195,187,174,238,178,233,171,224,236,159,192,183,203,206,205,204,156,273,1606,1340,4083,4701,4714,1238,1560,3036,476,3059,3064,4736])).
% 82.50/82.54 cnf(5377,plain,
% 82.50/82.54 (P9(a19,a19,a3,a2)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5078,5036,5038,5048,5072,5100,5143,5145,5154,5187,5191,5196,5163,5135,5040,5137,5139,5127,5152,5181,4855,4886,4939,4831,4910,4839,4983,4999,4011,1372,1117,4961,1179,1115,4566,2521,5326,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170,201,196,237,242,186,198,173,247,202,191,200,246,190,195,187,174,238,178,233,171,224,236,159,192,183,203,206,205,204,156,273,1606,1340,4083,4701,4714,1238,1560,3036,476,3059,3064,4736,1268])).
% 82.50/82.54 cnf(5383,plain,
% 82.50/82.54 (P9(a2,a2,a3,a2)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5078,5036,5038,5048,5072,5100,5143,5145,5154,5187,5191,5196,5163,5135,5040,5137,5139,5127,5152,5181,4855,4886,4939,4831,4910,4839,4983,4999,4011,1372,1117,4961,1179,1115,4566,2521,5326,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170,201,196,237,242,186,198,173,247,202,191,200,246,190,195,187,174,238,178,233,171,224,236,159,192,183,203,206,205,204,156,273,1606,1340,4083,4701,4714,1238,1560,3036,476,3059,3064,4736,1268,4327,1601,1119])).
% 82.50/82.54 cnf(5385,plain,
% 82.50/82.54 (P9(a16,a16,a3,a2)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5078,5036,5038,5048,5072,5100,5143,5145,5154,5187,5191,5196,5163,5135,5040,5137,5139,5127,5152,5181,4855,4886,4939,4831,4910,4839,4983,4999,4011,1372,1117,4961,1179,1115,4566,2521,5326,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170,201,196,237,242,186,198,173,247,202,191,200,246,190,195,187,174,238,178,233,171,224,236,159,192,183,203,206,205,204,156,273,1606,1340,4083,4701,4714,1238,1560,3036,476,3059,3064,4736,1268,4327,1601,1119,1252])).
% 82.50/82.54 cnf(5387,plain,
% 82.50/82.54 (P9(f8(a2,a2,a2,a2),a2,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5078,5036,5038,5048,5072,5100,5143,5145,5154,5187,5191,5196,5163,5135,5040,5137,5139,5127,5152,5181,4855,4886,4939,4831,4910,4839,4983,4999,4011,1372,1117,4961,1179,1115,4566,2521,5326,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170,201,196,237,242,186,198,173,247,202,191,200,246,190,195,187,174,238,178,233,171,224,236,159,192,183,203,206,205,204,156,273,1606,1340,4083,4701,4714,1238,1560,3036,476,3059,3064,4736,1268,4327,1601,1119,1252,184])).
% 82.50/82.54 cnf(5392,plain,
% 82.50/82.54 (P2(f9(a3,a2,a3),a3,a2,a3)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5078,5036,5038,5048,5072,5100,5143,5145,5154,5187,5191,5196,5163,5135,5040,5137,5139,5127,5152,5181,4855,4886,4939,4892,4831,4910,4839,4983,4999,4011,1372,1117,4961,1179,1115,4566,2521,5326,5333,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170,201,196,237,242,186,198,173,247,202,191,200,246,190,195,187,174,238,178,233,171,224,236,159,192,183,203,206,205,204,156,273,1606,1340,4083,4701,4714,1238,1560,3036,476,3059,3064,4736,1268,4327,1601,1119,1252,184,257,188])).
% 82.50/82.54 cnf(5394,plain,
% 82.50/82.54 (P2(a3,a17,a17,a17)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5078,5036,5038,5048,5072,5100,5143,5145,5154,5187,5191,5196,5163,5135,5040,5137,5139,5127,5152,5181,4855,4886,4939,4892,4831,4910,4839,4983,4999,4011,1372,1117,4961,1179,1115,4566,2521,5326,5333,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170,201,196,237,242,186,198,173,247,202,191,200,246,190,195,187,174,238,178,233,171,224,236,159,192,183,203,206,205,204,156,273,1606,1340,4083,4701,4714,1238,1560,3036,476,3059,3064,4736,1268,4327,1601,1119,1252,184,257,188,2160])).
% 82.50/82.54 cnf(5395,plain,
% 82.50/82.54 (P5(a3,a17,a17,a3)),
% 82.50/82.54 inference(scs_inference,[],[5158,5011,4981,4857,4867,5034,5109,4979,5044,5060,5068,5070,5202,5209,5076,5078,5036,5038,5048,5072,5100,5143,5145,5154,5187,5191,5196,5163,5135,5040,5137,5139,5127,5152,5181,4855,4886,4939,4892,4831,4910,4839,4983,4999,4011,1372,1117,4961,1179,1115,4566,2521,5326,5333,4645,255,153,4634,149,160,151,793,150,511,221,164,165,544,148,4061,256,157,254,250,222,161,1583,163,253,223,442,249,252,162,251,167,166,168,181,185,194,243,175,220,197,170,201,196,237,242,186,198,173,247,202,191,200,246,190,195,187,174,238,178,233,171,224,236,159,192,183,203,206,205,204,156,273,1606,1340,4083,4701,4714,1238,1560,3036,476,3059,3064,4736,1268,4327,1601,1119,1252,184,257,188,2160,3689])).
% 82.50/82.54 cnf(5406,plain,
% 82.50/82.54 (P1(f20(a3,x54061),a3,x54061)),
% 82.50/82.54 inference(rename_variables,[],[5219])).
% 82.50/82.54 cnf(5409,plain,
% 82.50/82.54 (P1(f20(a3,x54091),a3,x54091)),
% 82.50/82.54 inference(rename_variables,[],[5219])).
% 82.50/82.54 cnf(5413,plain,
% 82.50/82.54 (P9(a19,a19,a2,a3)),
% 82.50/82.54 inference(scs_inference,[],[5385,5219,5406,5316,797,4334,4083,588])).
% 82.50/82.54 cnf(5415,plain,
% 82.50/82.54 (P7(a3,a17,a3,a17,a17,a3,a3,a17)),
% 82.50/82.54 inference(scs_inference,[],[5165,5385,5219,5406,5316,797,4334,4083,588,255])).
% 82.50/82.54 cnf(5417,plain,
% 82.50/82.54 (P8(a18,a18,a18,a18,a2,a2,a17,a17)),
% 82.50/82.54 inference(scs_inference,[],[5165,5385,5241,5219,5406,5316,797,4334,4083,588,255,4645])).
% 82.50/82.54 cnf(5418,plain,
% 82.50/82.54 (P8(x54181,x54182,a18,a18,x54181,x54182,a17,a17)),
% 82.50/82.54 inference(rename_variables,[],[5241])).
% 82.50/82.54 cnf(5422,plain,
% 82.50/82.54 (P10(a2,a2,a17,a3)),
% 82.50/82.54 inference(scs_inference,[],[5082,5165,5385,5241,5219,5406,5316,797,4334,4083,588,255,4645,4701,160])).
% 82.50/82.54 cnf(5426,plain,
% 82.50/82.54 (P1(a17,a17,a3)),
% 82.50/82.54 inference(scs_inference,[],[5082,5165,5385,5056,5241,5219,5406,5316,797,4334,4083,588,255,4645,4701,160,4736,149])).
% 82.50/82.54 cnf(5428,plain,
% 82.50/82.54 (P9(a17,a17,a2,a3)),
% 82.50/82.54 inference(scs_inference,[],[5082,5165,5385,5056,5241,5219,5406,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592])).
% 82.50/82.54 cnf(5432,plain,
% 82.50/82.54 (P9(a18,a18,a2,a3)),
% 82.50/82.54 inference(scs_inference,[],[5082,5165,5385,5056,5241,5383,5219,5406,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513])).
% 82.50/82.54 cnf(5434,plain,
% 82.50/82.54 (P8(a19,a19,a18,a18,a2,a2,a17,a17)),
% 82.50/82.54 inference(scs_inference,[],[5082,5165,5385,5056,5241,5418,5383,5219,5406,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634])).
% 82.50/82.54 cnf(5435,plain,
% 82.50/82.54 (P8(x54351,x54352,a18,a18,x54351,x54352,a17,a17)),
% 82.50/82.54 inference(rename_variables,[],[5241])).
% 82.50/82.54 cnf(5437,plain,
% 82.50/82.54 (P1(f20(a3,x54371),x54371,a3)),
% 82.50/82.54 inference(scs_inference,[],[5082,5165,5385,5056,5241,5418,5383,5215,5219,5406,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150])).
% 82.50/82.54 cnf(5441,plain,
% 82.50/82.54 (P7(a17,a17,a17,a3,a17,a17,a17,a3)),
% 82.50/82.54 inference(scs_inference,[],[5082,5165,5385,5056,5241,5418,5383,5215,5219,5406,5375,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606])).
% 82.50/82.54 cnf(5443,plain,
% 82.50/82.54 (P5(f20(a3,x54431),x54431,f20(a3,x54431),a3)),
% 82.50/82.54 inference(scs_inference,[],[5082,5165,5385,5056,5241,5418,5383,5215,5219,5406,5375,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153])).
% 82.50/82.54 cnf(5445,plain,
% 82.50/82.54 (P8(a17,a3,x54451,x54452,a2,a2,x54451,x54452)),
% 82.50/82.54 inference(scs_inference,[],[5082,5165,5385,5056,5241,5418,5383,5215,5219,5406,5375,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222])).
% 82.50/82.54 cnf(5447,plain,
% 82.50/82.54 (P3(f20(a17,x54471),x54471,a17)),
% 82.50/82.54 inference(scs_inference,[],[5082,5165,5385,5056,5241,5418,5383,5215,5219,5406,5349,5375,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151])).
% 82.50/82.54 cnf(5449,plain,
% 82.50/82.54 (P7(a16,a16,a16,a16,a16,a2,a16,a2)),
% 82.50/82.54 inference(scs_inference,[],[5046,5082,5165,5385,5056,5241,5418,5383,5215,5219,5406,5349,5375,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256])).
% 82.50/82.54 cnf(5454,plain,
% 82.50/82.54 (P10(f8(a3,a3,a3,a3),a3,a17,a17)),
% 82.50/82.54 inference(scs_inference,[],[5046,5082,5165,5385,5056,5241,5418,5383,5173,5215,5219,5406,5409,5349,5375,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061])).
% 82.50/82.54 cnf(5456,plain,
% 82.50/82.54 (P8(a18,a18,x54561,x54562,a2,a2,x54562,x54561)),
% 82.50/82.54 inference(scs_inference,[],[5046,5082,5165,5385,5056,5090,5241,5418,5383,5173,5215,5219,5406,5409,5349,5375,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250])).
% 82.50/82.54 cnf(5460,plain,
% 82.50/82.54 (P5(a3,a2,a2,a3)),
% 82.50/82.54 inference(scs_inference,[],[5046,5082,5165,5385,5206,5056,5090,5241,5418,5383,5173,5215,5219,5406,5409,5349,5375,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165])).
% 82.50/82.54 cnf(5462,plain,
% 82.50/82.54 (P5(a17,a3,a3,a17)),
% 82.50/82.54 inference(scs_inference,[],[5046,5082,5165,5385,5206,5395,5056,5090,5241,5418,5383,5173,5215,5219,5406,5409,5349,5375,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164])).
% 82.50/82.54 cnf(5464,plain,
% 82.50/82.54 (P1(a3,f6(a3,a3,a3),a3)),
% 82.50/82.54 inference(scs_inference,[],[5046,5082,5165,5385,5206,5395,5056,5090,5241,5418,5383,5173,5215,5219,5406,5409,5349,5375,5247,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157])).
% 82.50/82.54 cnf(5466,plain,
% 82.50/82.54 (P10(a2,a2,a3,a17)),
% 82.50/82.54 inference(scs_inference,[],[5046,5082,5165,5385,5206,5395,5056,5090,5241,5418,5383,5173,5215,5219,5406,5409,5349,5375,5247,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161])).
% 82.50/82.54 cnf(5468,plain,
% 82.50/82.54 (P9(a18,a18,a2,f6(a2,a2,a2))),
% 82.50/82.54 inference(scs_inference,[],[5046,5082,5165,5385,5206,5395,5056,5090,5241,5418,5383,5173,4931,5215,5219,5406,5409,5349,5375,5247,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511])).
% 82.50/82.54 cnf(5470,plain,
% 82.50/82.54 (P1(a3,a17,a17)),
% 82.50/82.54 inference(scs_inference,[],[5046,5082,5165,5385,5206,5395,5056,5090,5241,5418,5383,5173,4931,5215,5219,5406,5409,5349,5375,5247,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148])).
% 82.50/82.54 cnf(5472,plain,
% 82.50/82.54 (P7(a16,a2,a16,a2,a1,a16,a1,a16)),
% 82.50/82.54 inference(scs_inference,[],[5046,5082,5165,5385,5206,5395,5056,5090,5241,5418,5062,5383,5173,4931,5215,5219,5406,5409,5349,5375,5247,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253])).
% 82.50/82.54 cnf(5478,plain,
% 82.50/82.54 (P9(a3,a3,a2,a3)),
% 82.50/82.54 inference(scs_inference,[],[5046,5082,5337,5165,5175,5385,5206,5395,5056,5090,5241,5418,5062,5383,5173,4931,5215,5219,5406,5409,5349,5375,5247,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163])).
% 82.50/82.54 cnf(5480,plain,
% 82.50/82.54 (P8(x54801,x54802,x54802,x54801,a18,a18,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[5046,5082,5337,5165,5175,5385,5206,5395,5056,5090,5241,5418,5062,5383,5173,4931,5215,5219,5406,5409,5349,5375,5247,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252])).
% 82.50/82.54 cnf(5484,plain,
% 82.50/82.54 (P9(f8(a17,a17,a17,a3),a17,a17,a3)),
% 82.50/82.54 inference(scs_inference,[],[5046,5082,5337,5165,5175,5385,5206,5395,5056,5090,5241,5418,5062,5383,5394,5173,4931,5215,5219,5406,5409,5349,5375,5247,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184])).
% 82.50/82.54 cnf(5486,plain,
% 82.50/82.54 (P8(a3,a17,a17,a17,a17,a17,a3,a17)),
% 82.50/82.54 inference(scs_inference,[],[5351,5046,5082,5337,5165,5175,5385,5206,5395,5056,5090,5241,5418,5062,5383,5394,5173,4931,5215,5219,5406,5409,5349,5375,5247,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223])).
% 82.50/82.54 cnf(5488,plain,
% 82.50/82.54 (P8(x54881,x54882,a2,a2,x54882,x54881,a18,a18)),
% 82.50/82.54 inference(scs_inference,[],[5351,5046,5082,5337,5165,5175,5385,5206,5395,5056,5090,5241,5418,5062,5383,5394,5173,4931,5215,5219,5406,5409,5349,5375,5247,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249])).
% 82.50/82.54 cnf(5490,plain,
% 82.50/82.54 (P9(a3,a2,a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[5351,5046,5082,5337,5165,5175,5385,5206,5395,5056,5090,5241,5418,5062,5383,5394,5173,4931,5215,5219,5406,5409,5349,5375,5247,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249,162])).
% 82.50/82.54 cnf(5492,plain,
% 82.50/82.54 (P8(x54921,x54922,a18,a18,x54922,x54921,a17,a17)),
% 82.50/82.54 inference(scs_inference,[],[5351,5046,5082,5337,5165,5175,5385,5206,5395,5056,5090,5241,5418,5435,5062,5383,5394,5173,4931,5215,5219,5406,5409,5349,5375,5247,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249,162,251])).
% 82.50/82.54 cnf(5494,plain,
% 82.50/82.54 (P4(a2,a2,a3,a2)),
% 82.50/82.54 inference(scs_inference,[],[5351,5046,5082,5337,5165,5175,5385,5206,5395,5056,5090,5241,5418,5435,5062,5267,5383,5394,5173,4931,5215,5219,5406,5409,5349,5375,5247,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249,162,251,167])).
% 82.50/82.54 cnf(5496,plain,
% 82.50/82.54 (P4(a2,a3,a3,a2)),
% 82.50/82.54 inference(scs_inference,[],[5351,5046,5082,5337,5165,5175,5385,5206,5395,5056,5090,5241,5418,5435,5062,5265,5267,5383,5394,5173,4931,5215,5219,5406,5409,5349,5375,5247,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249,162,251,167,166])).
% 82.50/82.54 cnf(5498,plain,
% 82.50/82.54 (P4(a2,a2,a2,a3)),
% 82.50/82.54 inference(scs_inference,[],[5351,5046,5082,5337,5165,5175,5385,5206,5395,5056,5090,5241,5418,5435,5062,5265,5267,5383,5394,5173,4931,5215,5219,5406,5409,5349,5375,5247,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249,162,251,167,166,168])).
% 82.50/82.54 cnf(5500,plain,
% 82.50/82.54 (P2(a3,a2,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[5351,5046,5082,5337,5165,5175,5385,5206,5395,5056,5090,5241,5418,5435,5062,5265,5267,5383,5394,5173,4931,5215,5219,5406,5409,5349,5375,5247,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249,162,251,167,166,168,181])).
% 82.50/82.54 cnf(5508,plain,
% 82.50/82.54 (P7(f20(a3,x55081),x55081,x55081,a3,a2,a2,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[5351,4825,5046,5082,5337,5165,5175,5385,5206,5395,5056,5090,5241,5418,5435,5062,5265,5267,5332,5383,5394,5173,4931,5215,5219,5406,5409,5349,5375,5247,5316,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249,162,251,167,166,168,181,194,201,186,220])).
% 82.50/82.54 cnf(5520,plain,
% 82.50/82.54 (P10(a3,a17,a18,a18)),
% 82.50/82.54 inference(scs_inference,[],[5351,4825,5046,5082,5337,5165,5175,5365,5385,5206,5395,5056,5090,5241,5418,5435,5062,5265,5267,5332,5383,5394,5173,4931,5215,5219,5406,5409,5349,5375,5247,5316,4951,4910,4999,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249,162,251,167,166,168,181,194,201,186,220,197,202,170,175,191,237])).
% 82.50/82.54 cnf(5525,plain,
% 82.50/82.54 (P10(f26(a18,a18,a16,a2,a18),a16,a18,a18)),
% 82.50/82.54 inference(scs_inference,[],[5351,4825,5046,5082,5337,5165,5175,5365,5385,5206,5395,5056,5090,5241,5418,5435,5062,5265,5267,5332,5383,5394,5173,4931,5215,5219,5406,5409,5349,5375,5247,5316,4951,4833,4910,5158,4939,4999,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249,162,251,167,166,168,181,194,201,186,220,197,202,170,175,191,237,196,198])).
% 82.50/82.54 cnf(5527,plain,
% 82.50/82.54 (P3(f24(a2,a2,a2,a2,a2,a2),a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[5351,4825,5046,5082,5337,5165,5175,5365,5385,5206,5395,5056,5090,5241,5418,5435,5062,5265,5267,5332,5383,5394,5173,4931,5215,5219,5406,5409,5349,5375,5247,5316,4951,4833,4910,5158,4939,4999,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249,162,251,167,166,168,181,194,201,186,220,197,202,170,175,191,237,196,198,200])).
% 82.50/82.54 cnf(5533,plain,
% 82.50/82.54 (P1(f5(a3,a3,a2),a2,a3)),
% 82.50/82.54 inference(scs_inference,[],[5351,4825,5046,5082,5337,5165,5175,5365,5385,5206,5395,5056,5090,5241,5418,5435,5062,5265,5267,5332,5383,5394,5173,4931,5215,5219,5406,5409,5349,5375,5247,5316,4951,4833,4910,5158,4939,4999,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249,162,251,167,166,168,181,194,201,186,220,197,202,170,175,191,237,196,198,200,187,190,174])).
% 82.50/82.54 cnf(5537,plain,
% 82.50/82.54 (P9(f13(a3,a3,a3,a2,a2),f13(a3,a3,a3,a2,a2),a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[5351,4825,5046,5082,5337,5165,5175,5365,5385,5206,5395,5056,5090,5241,5418,5435,5062,5265,5267,5332,5383,5394,5173,4931,5215,5219,5406,5409,5349,5285,5375,5247,5316,4951,4833,4910,5158,4939,4999,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249,162,251,167,166,168,181,194,201,186,220,197,202,170,175,191,237,196,198,200,187,190,174,195,178])).
% 82.50/82.54 cnf(5539,plain,
% 82.50/82.54 (P9(a2,a3,a18,a18)),
% 82.50/82.54 inference(scs_inference,[],[5351,4825,5046,5082,5337,5165,5175,5365,5385,5206,5323,5395,5056,5090,5241,5418,5435,5062,5265,5267,5332,5383,5394,5173,4931,5215,5219,5406,5409,5349,5285,5375,5247,5316,4951,4833,4910,5158,4939,4999,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249,162,251,167,166,168,181,194,201,186,220,197,202,170,175,191,237,196,198,200,187,190,174,195,178,238])).
% 82.50/82.54 cnf(5542,plain,
% 82.50/82.54 (P4(a2,f21(a2,a2,a17,a17),a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[5351,4825,5046,5082,5337,5165,5175,5365,5385,5206,5323,5395,5056,5090,5241,5418,5435,5062,5265,5267,5332,5383,5394,5173,4931,5215,5219,5406,5409,5349,5285,5312,5375,5247,5316,4951,4833,4910,5158,4939,4999,2521,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249,162,251,167,166,168,181,194,201,186,220,197,202,170,175,191,237,196,198,200,187,190,174,195,178,238,233])).
% 82.50/82.54 cnf(5545,plain,
% 82.50/82.54 (P10(x55451,x55451,a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[5351,4825,5046,5082,5337,5165,5175,5365,5385,5206,5323,5395,5056,5090,5241,5418,5435,5062,5265,5267,5332,5383,5394,5173,4931,5215,5219,5406,5409,5349,5285,5312,5375,5247,5316,4951,4833,4910,5158,4939,4999,2521,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249,162,251,167,166,168,181,194,201,186,220,197,202,170,175,191,237,196,198,200,187,190,174,195,178,238,233,154])).
% 82.50/82.54 cnf(5548,plain,
% 82.50/82.54 (P3(f20(a3,x55481),x55481,a3)),
% 82.50/82.54 inference(rename_variables,[],[5215])).
% 82.50/82.54 cnf(5550,plain,
% 82.50/82.54 (P3(f7(a3,a2,a3),a3,a3)),
% 82.50/82.54 inference(scs_inference,[],[5351,4825,5046,5082,5337,5165,5175,5365,5385,5206,5323,5395,5056,5090,5241,5418,5435,5062,5265,5267,5332,5383,5394,5131,5173,4931,5215,5219,5406,5409,5349,5285,5312,5375,5247,5316,4951,4833,4910,5158,4939,4999,2521,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249,162,251,167,166,168,181,194,201,186,220,197,202,170,175,191,237,196,198,200,187,190,174,195,178,238,233,154,224,183])).
% 82.50/82.54 cnf(5552,plain,
% 82.50/82.54 (P2(f10(a3,a2,a3),a3,a2,a3)),
% 82.50/82.54 inference(scs_inference,[],[5351,4825,5046,5082,5337,5165,5175,5365,5385,5206,5323,5395,5056,5090,5241,5418,5435,5062,5265,5267,5332,5383,5394,5131,5173,4931,5215,5219,5406,5409,5349,5285,5312,5375,5247,5316,4951,4847,4833,4910,5163,5158,4939,4999,2521,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249,162,251,167,166,168,181,194,201,186,220,197,202,170,175,191,237,196,198,200,187,190,174,195,178,238,233,154,224,183,189])).
% 82.50/82.54 cnf(5555,plain,
% 82.50/82.54 (P9(a2,a3,a3,a2)),
% 82.50/82.54 inference(scs_inference,[],[5351,4825,5046,5082,5337,5165,5175,5365,5385,5206,5323,5395,5056,5090,5241,5418,5435,5062,5265,5267,5332,5383,5394,5131,5173,4931,5215,5219,5406,5409,5349,5285,5312,5375,5247,5316,5145,4951,4847,4833,4910,5163,5158,4939,4999,2521,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249,162,251,167,166,168,181,194,201,186,220,197,202,170,175,191,237,196,198,200,187,190,174,195,178,238,233,154,224,183,189,192])).
% 82.50/82.54 cnf(5561,plain,
% 82.50/82.54 (P3(f20(a2,x55611),a2,x55611)),
% 82.50/82.54 inference(scs_inference,[],[5351,4825,5046,5082,5337,5165,5175,5365,5385,5206,5323,5395,5056,5237,5090,5241,5418,5435,5042,5062,5231,5265,5267,5332,5383,5394,5131,5173,4931,5215,5548,5219,5406,5409,5349,5285,5312,5375,5247,5316,5074,5145,4951,4847,4833,5068,4910,5163,5158,4939,4999,4027,2521,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249,162,251,167,166,168,181,194,201,186,220,197,202,170,175,191,237,196,198,200,187,190,174,195,178,238,233,154,224,183,189,192,203,204,156])).
% 82.50/82.54 cnf(5565,plain,
% 82.50/82.54 (P5(a17,a2,a3,a17)),
% 82.50/82.54 inference(scs_inference,[],[5351,4825,5046,5082,5337,5165,5175,5365,5385,5206,5323,5395,5056,5237,5090,5241,5418,5435,5042,5062,5231,5265,5267,5332,5383,5394,5131,5173,4931,5215,5548,5219,5406,5409,5349,5285,5312,5375,5247,5316,5074,5145,4951,4847,4833,5068,4910,5163,5158,4939,4999,4027,2521,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249,162,251,167,166,168,181,194,201,186,220,197,202,170,175,191,237,196,198,200,187,190,174,195,178,238,233,154,224,183,189,192,203,204,156,3705])).
% 82.50/82.54 cnf(5566,plain,
% 82.50/82.54 (P10(a3,a17,a16,a16)),
% 82.50/82.54 inference(scs_inference,[],[5351,4825,5046,5082,5337,5165,5175,5365,5385,5206,5323,5395,5056,5237,5090,5241,5418,5435,5042,5062,5231,5265,5267,5332,5383,5394,5131,5173,4931,5215,5548,5219,5406,5409,5349,5285,5312,5375,5247,5316,5074,5145,4951,4847,4833,5068,4910,5163,5158,4939,4999,4027,2521,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249,162,251,167,166,168,181,194,201,186,220,197,202,170,175,191,237,196,198,200,187,190,174,195,178,238,233,154,224,183,189,192,203,204,156,3705,3064])).
% 82.50/82.54 cnf(5568,plain,
% 82.50/82.54 (P10(a2,a3,a17,a17)),
% 82.50/82.54 inference(scs_inference,[],[5351,4825,5046,5082,5337,5165,5175,5365,5385,5206,5323,5395,5056,5237,5090,5241,5418,5435,5042,5062,5231,5265,5267,5332,5383,5394,5131,5173,4931,5215,5548,5219,5406,5409,5349,5285,5312,5375,5247,5316,5074,5145,4951,4847,4833,5068,4910,5163,5158,4939,4999,4027,2521,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249,162,251,167,166,168,181,194,201,186,220,197,202,170,175,191,237,196,198,200,187,190,174,195,178,238,233,154,224,183,189,192,203,204,156,3705,3064,4251])).
% 82.50/82.54 cnf(5572,plain,
% 82.50/82.54 (P10(a3,a17,a2,a2)),
% 82.50/82.54 inference(scs_inference,[],[5351,4825,5046,5082,5337,5165,5175,5365,5385,5206,5323,5395,5056,5237,5090,5241,5418,5435,5042,5062,5231,5265,5267,5332,5383,5394,5131,5173,4931,5215,5548,5219,5406,5409,5349,5285,5312,5375,5247,5316,5074,5145,4951,4847,4833,5068,4910,5163,5158,4939,4999,4027,2521,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249,162,251,167,166,168,181,194,201,186,220,197,202,170,175,191,237,196,198,200,187,190,174,195,178,238,233,154,224,183,189,192,203,204,156,3705,3064,4251,1340,476])).
% 82.50/82.54 cnf(5578,plain,
% 82.50/82.54 (P9(a2,a2,a2,a3)),
% 82.50/82.54 inference(scs_inference,[],[5351,4825,5046,5082,5337,5165,5175,5365,5385,5206,5323,5395,5056,5237,5090,5241,5418,5435,5042,5062,5231,5265,5267,5332,5383,5394,5131,5173,4931,5215,5548,5219,5406,5409,5349,5285,5312,5375,5247,5316,5074,5145,4951,4847,4833,5068,4910,5163,5158,4939,4999,4027,2521,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249,162,251,167,166,168,181,194,201,186,220,197,202,170,175,191,237,196,198,200,187,190,174,195,178,238,233,154,224,183,189,192,203,204,156,3705,3064,4251,1340,476,602,544,1119])).
% 82.50/82.54 cnf(5586,plain,
% 82.50/82.54 (P5(a3,a2,a3,f4(a2,a2,a3))),
% 82.50/82.55 inference(scs_inference,[],[5351,4825,5046,5082,5337,5165,5175,5365,5385,5206,5323,5395,5056,5237,5090,5241,5418,5435,5042,5062,5231,5265,5267,5332,5383,5394,5131,5173,4931,5215,5548,5219,5406,5409,5349,5285,5312,5375,5247,5316,5074,5145,4951,4847,4833,5068,4910,5163,5158,4939,4999,4027,2521,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249,162,251,167,166,168,181,194,201,186,220,197,202,170,175,191,237,196,198,200,187,190,174,195,178,238,233,154,224,183,189,192,203,204,156,3705,3064,4251,1340,476,602,544,1119,1601,1252,244,185])).
% 82.50/82.55 cnf(5592,plain,
% 82.50/82.55 (P5(f20(a3,a3),a3,a3,a3)),
% 82.50/82.55 inference(scs_inference,[],[5351,4825,5046,5082,5337,5165,5175,5365,5385,5206,5323,5395,5056,5237,5090,5241,5418,5435,5042,5062,5231,5265,5267,5332,5383,5394,5131,5173,4931,5215,5548,5219,5406,5409,5349,5285,5312,5375,5247,5316,5074,5145,4951,4847,4833,5068,4910,5163,5158,4939,4999,4027,2521,797,4334,4083,588,255,4645,4701,160,4736,149,1592,4714,513,4634,150,3059,1606,153,222,151,256,793,4061,250,1583,165,164,157,161,511,148,253,221,254,163,252,442,184,223,249,162,251,167,166,168,181,194,201,186,220,197,202,170,175,191,237,196,198,200,187,190,174,195,178,238,233,154,224,183,189,192,203,204,156,3705,3064,4251,1340,476,602,544,1119,1601,1252,244,185,173,188,240])).
% 82.50/82.55 cnf(5605,plain,
% 82.50/82.55 (P1(f20(a3,x56051),x56051,a3)),
% 82.50/82.55 inference(rename_variables,[],[5437])).
% 82.50/82.55 cnf(5608,plain,
% 82.50/82.55 (P1(f20(a3,x56081),x56081,a3)),
% 82.50/82.55 inference(rename_variables,[],[5437])).
% 82.50/82.55 cnf(5611,plain,
% 82.50/82.55 (P1(f20(a3,x56111),x56111,a3)),
% 82.50/82.55 inference(rename_variables,[],[5437])).
% 82.50/82.55 cnf(5615,plain,
% 82.50/82.55 (P7(a3,a19,a3,a16,a19,a3,a3,a16)),
% 82.50/82.55 inference(scs_inference,[],[4896,5437,5605,5608,5525,1343,1347,3038,3064,255])).
% 82.50/82.55 cnf(5617,plain,
% 82.50/82.55 (P8(x56171,x56172,x56172,x56171,a2,a2,a2,a2)),
% 82.50/82.55 inference(scs_inference,[],[4896,5480,5437,5605,5608,5525,1343,1347,3038,3064,255,4645])).
% 82.50/82.55 cnf(5619,plain,
% 82.50/82.55 (P8(a19,a19,a2,a2,a2,a2,a18,a18)),
% 82.50/82.55 inference(scs_inference,[],[4896,5480,5488,5437,5605,5608,5525,1343,1347,3038,3064,255,4645,4634])).
% 82.50/82.55 cnf(5623,plain,
% 82.50/82.55 (P1(f20(a3,x56231),x56231,a3)),
% 82.50/82.55 inference(rename_variables,[],[5437])).
% 82.50/82.55 cnf(5625,plain,
% 82.50/82.55 (P10(a3,a17,a3,a3)),
% 82.50/82.55 inference(scs_inference,[],[4896,5480,5488,5520,5437,5605,5608,5611,5525,1343,1347,3038,3064,255,4645,4634,1606,3059])).
% 82.50/82.55 cnf(5630,plain,
% 82.50/82.55 (P7(a19,a3,a19,a3,a3,a16,a3,a16)),
% 82.50/82.55 inference(scs_inference,[],[4896,5480,5488,5520,5437,5605,5608,5611,5623,5525,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256])).
% 82.50/82.55 cnf(5632,plain,
% 82.50/82.55 (P10(a3,a3,x56321,x56321)),
% 82.50/82.55 inference(scs_inference,[],[4896,5480,5488,5545,5520,5437,5605,5608,5611,5623,5525,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160])).
% 82.50/82.55 cnf(5634,plain,
% 82.50/82.55 (P3(f20(a2,x56341),x56341,a2)),
% 82.50/82.55 inference(scs_inference,[],[4896,5480,5488,5545,5520,5437,5605,5608,5611,5623,5561,5525,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151])).
% 82.50/82.55 cnf(5638,plain,
% 82.50/82.55 (P1(a16,a2,a1)),
% 82.50/82.55 inference(scs_inference,[],[4896,5480,5488,5545,5052,5520,5339,5437,5605,5608,5611,5623,5561,5525,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149])).
% 82.50/82.55 cnf(5640,plain,
% 82.50/82.55 (P10(a3,a2,a17,a17)),
% 82.50/82.55 inference(scs_inference,[],[4896,5480,5488,5545,5052,5490,5520,5339,5437,5605,5608,5611,5623,5561,5525,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061])).
% 82.50/82.55 cnf(5644,plain,
% 82.50/82.55 (P10(x56441,x56441,a2,a2)),
% 82.50/82.55 inference(scs_inference,[],[4896,5480,5488,5545,5052,5490,5520,5339,5437,5605,5608,5611,5623,5561,5525,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602])).
% 82.50/82.55 cnf(5646,plain,
% 82.50/82.55 (P5(f6(a3,a3,a3),a3,f6(a3,a3,a3),a3)),
% 82.50/82.55 inference(scs_inference,[],[4896,5480,5488,5545,5052,5490,5520,5335,5339,5437,5605,5608,5611,5623,5561,5525,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153])).
% 82.50/82.55 cnf(5650,plain,
% 82.50/82.55 (P10(a2,a3,a3,a3)),
% 82.50/82.55 inference(scs_inference,[],[4896,5480,5488,5545,5052,5490,5520,5568,5335,5310,5339,5437,5605,5608,5611,5623,5561,5525,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583])).
% 82.50/82.55 cnf(5652,plain,
% 82.50/82.55 (P10(x56521,x56521,a16,a16)),
% 82.50/82.55 inference(scs_inference,[],[4896,5480,5488,5545,5052,5490,5520,5568,5335,5310,5339,5437,5605,5608,5611,5623,5561,5525,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544])).
% 82.50/82.55 cnf(5656,plain,
% 82.50/82.55 (P8(a16,a16,x56561,x56562,a17,a17,x56561,x56562)),
% 82.50/82.55 inference(scs_inference,[],[5167,4896,5026,5480,5488,5545,5052,5490,5520,5568,5335,5310,5339,5437,5605,5608,5611,5623,5561,5525,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222])).
% 82.50/82.55 cnf(5658,plain,
% 82.50/82.55 (P9(a2,a3,a2,a3)),
% 82.50/82.55 inference(scs_inference,[],[5167,4896,5026,5480,5488,5545,5052,5490,5520,5555,5568,5335,5310,5339,5437,5605,5608,5611,5623,5561,5525,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163])).
% 82.50/82.55 cnf(5662,plain,
% 82.50/82.55 (P5(a3,a17,a2,a17)),
% 82.50/82.55 inference(scs_inference,[],[5167,4896,5026,5480,5488,5545,5052,5227,5490,5520,5555,5568,5335,5310,5339,5437,5605,5608,5611,5623,5561,5525,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164])).
% 82.50/82.55 cnf(5666,plain,
% 82.50/82.55 (P1(a3,a17,a3)),
% 82.50/82.55 inference(scs_inference,[],[5167,4896,5026,5480,5488,5545,5052,5227,5490,5520,5555,5568,5335,5310,5339,5437,5605,5608,5611,5623,5561,5525,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157])).
% 82.50/82.55 cnf(5668,plain,
% 82.50/82.55 (P9(a18,a18,a2,f5(a2,a2,a2))),
% 82.50/82.55 inference(scs_inference,[],[5167,4896,5026,5480,5488,5545,5052,5227,5490,5520,5555,5568,5335,5310,4929,5339,5437,5605,5608,5611,5623,5561,5525,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511])).
% 82.50/82.55 cnf(5670,plain,
% 82.50/82.55 (P1(a3,a17,a2)),
% 82.50/82.55 inference(scs_inference,[],[5167,4896,5026,5480,5488,5545,5052,5211,5227,5490,5520,5555,5568,5335,5310,4929,5339,5437,5605,5608,5611,5623,5561,5525,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511,148])).
% 82.50/82.55 cnf(5676,plain,
% 82.50/82.55 (P8(a2,a3,a2,a2,a3,a3,a3,a2)),
% 82.50/82.55 inference(scs_inference,[],[5167,4896,5026,5269,5480,5488,5545,5052,5204,5211,5227,5490,5520,5555,5568,5335,5310,4929,5339,5437,5605,5608,5611,5623,5561,5525,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511,148,254,253,221])).
% 82.50/82.55 cnf(5678,plain,
% 82.50/82.55 (P10(a2,a3,a2,a2)),
% 82.50/82.55 inference(scs_inference,[],[5167,4896,5026,5269,5480,5488,5545,5052,5204,5211,5227,5490,5520,5555,5568,5335,5310,4929,5339,5437,5605,5608,5611,5623,5561,5525,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511,148,254,253,221,442])).
% 82.50/82.55 cnf(5680,plain,
% 82.50/82.55 (P5(a2,a18,a16,a18)),
% 82.50/82.55 inference(scs_inference,[],[5167,4896,5026,5269,5480,5488,5545,5052,5204,5211,5225,5227,5490,5520,5555,5568,5335,5310,4929,5339,5437,5605,5608,5611,5623,5561,5525,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511,148,254,253,221,442,165])).
% 82.50/82.55 cnf(5686,plain,
% 82.50/82.55 (P9(f8(a2,a2,a2,a3),a2,a2,a3)),
% 82.50/82.55 inference(scs_inference,[],[5367,5167,4896,5026,5269,5480,5488,5545,5052,5204,5211,5225,5227,5490,5500,5520,5555,5568,5335,5310,4929,5339,5437,5605,5608,5611,5623,5561,5525,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511,148,254,253,221,442,165,249,162,184])).
% 82.50/82.55 cnf(5690,plain,
% 82.50/82.55 (P8(a17,a3,a17,a17,a17,a17,a3,a17)),
% 82.50/82.55 inference(scs_inference,[],[5367,5167,4896,5026,5486,5269,5480,5488,5545,5052,5204,5211,5225,5227,5490,5500,5520,5555,5568,5094,5335,5310,4929,5339,5437,5605,5608,5611,5623,5561,5525,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511,148,254,253,221,442,165,249,162,184,223,251])).
% 82.50/82.55 cnf(5692,plain,
% 82.50/82.55 (P4(a2,a2,f22(a2,a2,a2,a2),a2)),
% 82.50/82.55 inference(scs_inference,[],[5367,5167,4896,5026,5486,5269,5480,5488,5545,5052,5204,5211,5225,5227,5490,5500,5520,5555,5568,5094,5335,5310,4929,5339,5437,5605,5608,5611,5623,5561,5325,5525,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511,148,254,253,221,442,165,249,162,184,223,251,167])).
% 82.50/82.55 cnf(5694,plain,
% 82.50/82.55 (P4(a2,a3,a2,a3)),
% 82.50/82.55 inference(scs_inference,[],[5367,5167,4896,5026,5486,5269,5480,5488,5545,5052,5204,5211,5225,5227,5490,5496,5500,5520,5555,5568,5094,5335,5310,4929,5339,5437,5605,5608,5611,5623,5561,5325,5525,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511,148,254,253,221,442,165,249,162,184,223,251,167,168])).
% 82.50/82.55 cnf(5712,plain,
% 82.50/82.55 (P5(f13(a18,a18,a18,a2,a16),a2,f13(a18,a18,a18,a2,a16),a16)),
% 82.50/82.55 inference(scs_inference,[],[5367,5167,4896,5026,5486,5269,5578,5480,5488,5545,5052,5204,5211,5225,5227,5490,5496,5500,5520,5555,5568,5094,5335,5310,4929,5339,5437,5605,5608,5611,5623,5561,5325,5525,5314,4890,5351,4831,145,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511,148,254,253,221,442,165,249,162,184,223,251,167,168,166,194,220,197,181,186,202,175,170])).
% 82.50/82.55 cnf(5718,plain,
% 82.50/82.55 (P3(f24(a2,a16,a2,a16,a18,a18),a2,a16)),
% 82.50/82.55 inference(scs_inference,[],[5367,5167,4896,5026,5486,5269,5578,5480,5488,5545,5052,5204,5211,5225,5227,5490,5496,5500,5520,5555,5568,5094,5335,5310,4929,5339,5437,5605,5608,5611,5623,5561,5325,5525,5314,4890,5351,4831,4013,145,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511,148,254,253,221,442,165,249,162,184,223,251,167,168,166,194,220,197,181,186,202,175,170,201,191,200])).
% 82.50/82.55 cnf(5720,plain,
% 82.50/82.55 (P2(f9(a2,a2,a3),a2,a2,a3)),
% 82.50/82.55 inference(scs_inference,[],[5367,5167,4896,5026,5486,5269,5578,5480,5488,5545,5052,5204,5211,5225,5227,5490,5494,5496,5500,5520,5555,5568,5094,5335,5310,4929,5339,5437,5605,5608,5611,5623,5561,5325,5525,5314,4890,5351,4831,4013,145,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511,148,254,253,221,442,165,249,162,184,223,251,167,168,166,194,220,197,181,186,202,175,170,201,191,200,188])).
% 82.50/82.55 cnf(5722,plain,
% 82.50/82.55 (P10(a19,a19,a17,a3)),
% 82.50/82.55 inference(scs_inference,[],[5367,5167,4896,5026,5486,5213,5269,5578,5480,5488,5545,5052,5204,5211,5225,5227,5490,5494,5496,5500,5520,5555,5568,5094,5335,5310,4929,5339,5437,5605,5608,5611,5623,5561,5325,5525,5314,4948,4890,5351,4831,4013,145,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511,148,254,253,221,442,165,249,162,184,223,251,167,168,166,194,220,197,181,186,202,175,170,201,191,200,188,237])).
% 82.50/82.55 cnf(5729,plain,
% 82.50/82.55 (P9(x57291,x57292,x57292,x57291)),
% 82.50/82.55 inference(scs_inference,[],[4853,5367,5167,4896,5026,5486,5213,5269,5578,5480,5488,5545,5052,5204,5211,5225,5227,5490,5494,5496,5500,5520,5555,5568,5094,5335,5310,5111,4929,5339,5437,5605,5608,5611,5623,5561,5325,5525,5314,4948,4890,5351,4831,4013,145,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511,148,254,253,221,442,165,249,162,184,223,251,167,168,166,194,220,197,181,186,202,175,170,201,191,200,188,237,187,169,238])).
% 82.50/82.55 cnf(5733,plain,
% 82.50/82.55 (P9(f20(a3,a3),f20(a3,a3),a3,a3)),
% 82.50/82.55 inference(scs_inference,[],[4853,5367,5167,4896,5026,5486,5213,5269,5578,5480,5488,5545,5052,5204,5211,5225,5227,5490,5494,5496,5500,5520,5555,5568,5094,5335,5310,5111,4929,5339,5443,5437,5605,5608,5611,5623,5561,5325,5525,5314,4948,4890,5351,4831,4013,145,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511,148,254,253,221,442,165,249,162,184,223,251,167,168,166,194,220,197,181,186,202,175,170,201,191,200,188,237,187,169,238,190,178])).
% 82.50/82.55 cnf(5736,plain,
% 82.50/82.55 (P9(f13(a1,a1,x57361,a2,a16),a1,a2,a16)),
% 82.50/82.55 inference(scs_inference,[],[142,4853,5367,5167,4896,5026,5486,5213,5269,5578,5480,5488,5545,5052,5204,5211,5225,5227,5490,5494,5496,5500,5520,5555,5568,5094,5335,5310,5111,4929,5339,5443,5437,5605,5608,5611,5623,5561,5325,5525,5314,4948,4890,5351,4831,4013,145,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511,148,254,253,221,442,165,249,162,184,223,251,167,168,166,194,220,197,181,186,202,175,170,201,191,200,188,237,187,169,238,190,178,195])).
% 82.50/82.55 cnf(5738,plain,
% 82.50/82.55 (P1(f5(a2,a2,a3),a3,a2)),
% 82.50/82.55 inference(scs_inference,[],[142,4853,5367,5167,4896,5026,5486,5213,5269,5578,5480,5488,5545,5052,5204,5211,5225,5227,5490,5494,5496,5500,5520,5555,5568,5094,5335,5310,5111,4929,5339,5443,5437,5605,5608,5611,5623,5561,5325,5525,5314,4948,4890,5351,4831,4013,145,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511,148,254,253,221,442,165,249,162,184,223,251,167,168,166,194,220,197,181,186,202,175,170,201,191,200,188,237,187,169,238,190,178,195,174])).
% 82.50/82.55 cnf(5740,plain,
% 82.50/82.55 (P5(a3,a2,a2,a2)),
% 82.50/82.55 inference(scs_inference,[],[142,4853,5367,5167,4896,5026,5486,5213,5269,5578,5480,5488,5545,5052,5204,5211,5225,5227,5490,5494,5496,5500,5520,5555,5568,5094,5335,5310,5111,4929,5339,5443,5437,5605,5608,5611,5623,5561,5325,5525,5592,5314,5281,4948,4890,5351,4831,4013,145,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511,148,254,253,221,442,165,249,162,184,223,251,167,168,166,194,220,197,181,186,202,175,170,201,191,200,188,237,187,169,238,190,178,195,174,240])).
% 82.50/82.55 cnf(5743,plain,
% 82.50/82.55 (P4(a3,a3,a3,a17)),
% 82.50/82.55 inference(scs_inference,[],[142,4853,5367,5167,4896,5026,5486,5213,5269,5578,5480,5488,5545,5052,5150,5204,5211,5225,5227,5490,5494,5496,5500,5520,5555,5568,5094,5335,5310,5111,4929,5339,5443,5437,5605,5608,5611,5623,5561,5325,5525,5592,5314,5281,4948,4890,5351,4831,4013,145,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511,148,254,253,221,442,165,249,162,184,223,251,167,168,166,194,220,197,181,186,202,175,170,201,191,200,188,237,187,169,238,190,178,195,174,240,233])).
% 82.50/82.55 cnf(5747,plain,
% 82.50/82.55 (P8(a3,a17,a18,a18,a2,a2,a16,a16)),
% 82.50/82.55 inference(scs_inference,[],[142,4853,5367,5167,4896,5026,5486,5213,5269,5578,5263,5445,5480,5488,5545,5052,5150,5204,5211,5225,5227,5490,5494,5496,5500,5520,5555,5568,5094,5335,5310,5111,4929,5339,5443,5437,5605,5608,5611,5623,5561,5325,5525,5592,5314,5281,4948,4890,5351,4831,4013,145,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511,148,254,253,221,442,165,249,162,184,223,251,167,168,166,194,220,197,181,186,202,175,170,201,191,200,188,237,187,169,238,190,178,195,174,240,233,224,259])).
% 82.50/82.55 cnf(5751,plain,
% 82.50/82.55 (P3(f7(a17,a17,a17),a17,a17)),
% 82.50/82.55 inference(scs_inference,[],[142,4853,5367,5167,4896,5026,5486,5213,5269,5578,5263,5445,5480,5488,5545,5052,5150,5204,5211,5225,5227,5490,5494,5496,5500,5520,5555,5568,5094,5335,5310,5111,4929,5339,5443,5437,5605,5608,5611,5623,5447,5561,5325,5525,5592,5314,5281,4948,4890,5351,4831,4013,4017,145,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511,148,254,253,221,442,165,249,162,184,223,251,167,168,166,194,220,197,181,186,202,175,170,201,191,200,188,237,187,169,238,190,178,195,174,240,233,224,259,183])).
% 82.50/82.55 cnf(5754,plain,
% 82.50/82.55 (P2(f10(a3,a2,a2),a3,a2,a2)),
% 82.50/82.55 inference(scs_inference,[],[142,4853,5367,5167,4896,5026,5486,5213,5269,5578,5263,5445,5480,5488,5545,5052,5150,5204,5211,5225,5227,5490,5494,5496,5500,5520,5555,5568,5094,5335,5310,5111,4929,5339,5443,5437,5605,5608,5611,5623,5447,5561,5325,5525,5592,5314,5281,4948,4890,4965,5351,4831,5163,4013,4017,145,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511,148,254,253,221,442,165,249,162,184,223,251,167,168,166,194,220,197,181,186,202,175,170,201,191,200,188,237,187,169,238,190,178,195,174,240,233,224,259,183,189])).
% 82.50/82.55 cnf(5757,plain,
% 82.50/82.55 (P5(a2,a3,a2,a3)),
% 82.50/82.55 inference(scs_inference,[],[142,4853,5367,5167,4896,5026,5486,5213,5269,5578,5263,5445,5480,5488,5545,5052,5150,5204,5211,5225,5227,5490,5494,5496,5500,5520,5555,5568,5094,5335,5310,5111,4929,5339,5443,5437,5605,5608,5611,5623,5447,5561,5325,5525,5592,5314,5281,4948,4841,4890,4965,5351,4831,5163,4013,4017,863,145,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511,148,254,253,221,442,165,249,162,184,223,251,167,168,166,194,220,197,181,186,202,175,170,201,191,200,188,237,187,169,238,190,178,195,174,240,233,224,259,183,189,248])).
% 82.50/82.55 cnf(5760,plain,
% 82.50/82.55 (P10(x57601,x57601,a3,a3)),
% 82.50/82.55 inference(rename_variables,[],[5545])).
% 82.50/82.55 cnf(5765,plain,
% 82.50/82.55 (P7(a3,a17,a17,a2,a3,a17,a17,a2)),
% 82.50/82.55 inference(scs_inference,[],[142,4853,5367,5167,4896,5026,5486,5213,5269,5578,5426,5263,5445,5480,5488,5545,5760,5052,5150,5204,5211,5225,5227,5470,5490,5494,5496,5500,5520,5555,5568,5094,5335,5310,5111,4929,5339,5443,5437,5605,5608,5611,5623,5447,5561,5325,5525,5592,5314,5281,4948,4841,4890,4965,5351,4831,5163,4013,4017,863,145,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511,148,254,253,221,442,165,249,162,184,223,251,167,168,166,194,220,197,181,186,202,175,170,201,191,200,188,237,187,169,238,190,178,195,174,240,233,224,259,183,189,248,203,204,785])).
% 82.50/82.55 cnf(5767,plain,
% 82.50/82.55 (P10(a3,a3,a3,f4(a3,a3,a3))),
% 82.50/82.55 inference(scs_inference,[],[142,4853,5367,5167,4896,5026,5486,5213,5269,5578,5426,5263,5445,5480,5488,5545,5760,5052,5150,5204,5211,5225,5227,5470,5490,5494,5496,5500,5520,5555,5568,5094,5335,5310,5111,4929,5339,5443,5437,5605,5608,5611,5623,5447,5561,5325,5525,5592,5314,5281,4948,4841,4890,4965,5351,4831,5163,4013,4017,863,145,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511,148,254,253,221,442,165,249,162,184,223,251,167,168,166,194,220,197,181,186,202,175,170,201,191,200,188,237,187,169,238,190,178,195,174,240,233,224,259,183,189,248,203,204,785,230])).
% 82.50/82.55 cnf(5769,plain,
% 82.50/82.55 (P10(a19,a19,a3,a17)),
% 82.50/82.55 inference(scs_inference,[],[142,4853,5367,5167,4896,5026,5486,5213,5269,5578,5426,5263,5445,5480,5488,5545,5760,5052,5150,5204,5211,5225,5227,5470,5490,5494,5496,5500,5520,5555,5568,5094,5335,5310,5111,4929,5339,5443,5437,5605,5608,5611,5623,5447,5561,5325,5525,5592,5314,5281,4948,4841,4890,4965,5351,4831,5163,4013,4017,863,145,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511,148,254,253,221,442,165,249,162,184,223,251,167,168,166,194,220,197,181,186,202,175,170,201,191,200,188,237,187,169,238,190,178,195,174,240,233,224,259,183,189,248,203,204,785,230,161])).
% 82.50/82.55 cnf(5771,plain,
% 82.50/82.55 (~P9(a17,a17,a17,a3)+P1(f15(a3,a17,a17,a3),a3,a17)),
% 82.50/82.55 inference(scs_inference,[],[142,4853,5367,5167,4896,5026,5486,5213,5269,5578,5426,5263,5445,5480,5488,5545,5760,5052,5150,5204,5211,5225,5227,5470,5490,5494,5496,5500,5520,5555,5568,5094,5335,5310,5111,4929,5339,5443,5437,5605,5608,5611,5623,5447,5561,5325,5525,5592,5314,5281,4948,4841,4890,4965,5351,4831,5163,4013,4017,863,145,1343,1347,3038,3064,255,4645,4634,1606,3059,1340,256,160,151,150,149,4061,476,602,153,793,1583,544,250,222,163,252,164,1601,157,511,148,254,253,221,442,165,249,162,184,223,251,167,168,166,194,220,197,181,186,202,175,170,201,191,200,188,237,187,169,238,190,178,195,174,240,233,224,259,183,189,248,203,204,785,230,161,245])).
% 82.50/82.55 cnf(5796,plain,
% 82.50/82.55 (~P8(x57961,x57962,x57963,x57964,a2,a3,a3,a3)+P8(x57961,x57962,x57963,x57964,a3,a3,a3,a3)),
% 82.50/82.55 inference(scs_inference,[],[5650,5199])).
% 82.50/82.55 cnf(5797,plain,
% 82.50/82.55 (P10(a3,a1,a2,a16)),
% 82.50/82.55 inference(scs_inference,[],[5729,350])).
% 82.50/82.55 cnf(5798,plain,
% 82.50/82.55 (P9(x57981,x57982,x57982,x57981)),
% 82.50/82.55 inference(rename_variables,[],[5729])).
% 82.50/82.55 cnf(5801,plain,
% 82.50/82.55 (P8(a18,a18,a16,a16,x58011,x58012,x58011,x58012)),
% 82.50/82.55 inference(rename_variables,[],[5086])).
% 82.50/82.55 cnf(5803,plain,
% 82.50/82.55 (P7(a3,a17,a17,a3,a3,a17,a17,a3)),
% 82.50/82.55 inference(scs_inference,[],[5729,5666,5086,350,4645,1606])).
% 82.50/82.55 cnf(5807,plain,
% 82.50/82.55 (P7(a3,a17,a3,a2,a17,a3,a3,a2)),
% 82.50/82.55 inference(scs_inference,[],[5729,5217,5666,5533,5086,350,4645,1606,1340,255])).
% 82.50/82.55 cnf(5809,plain,
% 82.50/82.55 (P7(a17,a3,a17,a3,a3,a2,a3,a2)),
% 82.50/82.55 inference(scs_inference,[],[5729,5217,5666,5533,5086,350,4645,1606,1340,255,256])).
% 82.50/82.55 cnf(5811,plain,
% 82.50/82.55 (P1(f20(a2,x58111),x58111,a2)),
% 82.50/82.55 inference(scs_inference,[],[5729,5217,5666,5634,5533,5086,350,4645,1606,1340,255,256,150])).
% 82.50/82.55 cnf(5813,plain,
% 82.50/82.55 (P10(a17,a17,a3,a2)),
% 82.50/82.55 inference(scs_inference,[],[5729,5217,5640,5666,5634,5533,5086,350,4645,1606,1340,255,256,150,160])).
% 82.50/82.55 cnf(5815,plain,
% 82.50/82.55 (P10(a3,f5(a3,a3,a3),a17,a17)),
% 82.50/82.55 inference(scs_inference,[],[5729,5217,5640,5666,5125,5634,5533,5086,350,4645,1606,1340,255,256,150,160,4061])).
% 82.50/82.55 cnf(5817,plain,
% 82.50/82.55 (P8(a18,a18,a16,a16,a2,a2,a19,a19)),
% 82.50/82.55 inference(scs_inference,[],[5729,5217,5640,5666,5125,5634,5533,5086,5801,350,4645,1606,1340,255,256,150,160,4061,4634])).
% 82.50/82.55 cnf(5822,plain,
% 82.50/82.55 (P1(a3,a3,a17)),
% 82.50/82.55 inference(scs_inference,[],[5729,5217,5640,5666,5125,5634,5533,5086,5801,5525,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149])).
% 82.50/82.55 cnf(5824,plain,
% 82.50/82.55 (P10(a3,a2,a3,a3)),
% 82.50/82.55 inference(scs_inference,[],[5729,5217,5640,5666,5125,5634,5533,5086,5801,5525,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583])).
% 82.50/82.55 cnf(5826,plain,
% 82.50/82.55 (P3(f24(a2,a16,a2,a16,a18,a18),a16,a2)),
% 82.50/82.55 inference(scs_inference,[],[5729,5217,5640,5666,5125,5634,5718,5533,5086,5801,5525,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151])).
% 82.50/82.55 cnf(5828,plain,
% 82.50/82.55 (P10(a3,a2,a16,a16)),
% 82.50/82.55 inference(scs_inference,[],[5729,5217,5640,5666,5125,5634,5718,5533,5086,5801,5525,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544])).
% 82.50/82.55 cnf(5832,plain,
% 82.50/82.55 (P5(f20(a2,x58321),x58321,f20(a2,x58321),a2)),
% 82.50/82.55 inference(scs_inference,[],[5729,5217,5640,5666,5125,5634,5718,5533,5086,5801,5525,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153])).
% 82.50/82.55 cnf(5836,plain,
% 82.50/82.55 (P10(a3,a2,a2,a2)),
% 82.50/82.55 inference(scs_inference,[],[5729,5217,5640,5666,5125,5634,5718,5533,5086,5801,5525,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602])).
% 82.50/82.55 cnf(5840,plain,
% 82.50/82.55 (P1(a2,a3,a2)),
% 82.50/82.55 inference(scs_inference,[],[5729,5217,5245,5640,5666,5678,5125,5634,5718,5533,5086,5801,5525,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157])).
% 82.50/82.55 cnf(5842,plain,
% 82.50/82.55 (P8(a18,a18,a2,a2,a18,a18,a16,a16)),
% 82.50/82.55 inference(scs_inference,[],[5729,5217,5245,5640,5201,5666,5678,5125,5634,5718,5533,5086,5801,5525,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252])).
% 82.50/82.55 cnf(5846,plain,
% 82.50/82.55 (P10(a3,a3,f4(a3,a3,a3),a3)),
% 82.50/82.55 inference(scs_inference,[],[5729,5217,5245,5640,5201,5235,5666,5678,5125,5634,5718,5767,5533,5086,5801,5525,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161])).
% 82.50/82.55 cnf(5852,plain,
% 82.50/82.55 (P5(a2,a3,a3,a2)),
% 82.50/82.55 inference(scs_inference,[],[5729,5217,5245,5640,5201,5235,5460,5662,5666,5678,5125,5634,5718,5738,5767,5533,5086,5801,5525,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164])).
% 82.50/82.55 cnf(5854,plain,
% 82.50/82.55 (P8(a2,a2,a2,a2,a3,a2,a3,a2)),
% 82.50/82.55 inference(scs_inference,[],[5729,5217,5245,5640,5201,5498,5235,5460,5662,5666,5678,5125,5634,5718,5738,5767,5533,5086,5801,5525,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221])).
% 82.50/82.55 cnf(5860,plain,
% 82.50/82.55 (P9(x58601,x58602,x58601,x58602)),
% 82.50/82.55 inference(scs_inference,[],[5729,5798,5217,5245,5640,5201,5498,5235,5460,5662,5666,5678,5125,5387,5634,5718,5738,5767,5533,5086,5801,5525,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163])).
% 82.50/82.55 cnf(5862,plain,
% 82.50/82.55 (P1(a17,a3,a3)),
% 82.50/82.55 inference(scs_inference,[],[5729,5798,5217,5245,5640,5201,5498,5235,5460,5662,5666,5678,5125,5387,5634,5718,5738,5767,5533,5086,5801,5525,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148])).
% 82.50/82.55 cnf(5870,plain,
% 82.50/82.55 (P8(a2,a2,a16,a16,a18,a18,a18,a18)),
% 82.50/82.55 inference(scs_inference,[],[5729,5798,5377,5217,5245,5640,5201,5498,5235,5460,5662,5666,5678,5757,5125,5387,5634,5718,5738,5767,5533,5086,5801,5525,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249])).
% 82.50/82.55 cnf(5872,plain,
% 82.50/82.55 (P8(x58721,x58722,x58721,x58722,a2,a2,a2,a2)),
% 82.50/82.55 inference(scs_inference,[],[5729,5798,5377,5217,5245,5640,5201,5498,5617,5235,5460,5662,5666,5678,5757,5125,5387,5634,5718,5738,5767,5533,5086,5801,5525,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251])).
% 82.50/82.55 cnf(5874,plain,
% 82.50/82.55 (P4(a2,a2,a3,a3)),
% 82.50/82.55 inference(scs_inference,[],[5729,5798,5377,5217,5245,5640,5201,5498,5694,5617,5235,5460,5662,5666,5678,5757,5125,5387,5634,5718,5738,5767,5533,5086,5801,5525,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167])).
% 82.50/82.55 cnf(5878,plain,
% 82.50/82.55 (P4(a3,a3,a17,a3)),
% 82.50/82.55 inference(scs_inference,[],[5729,5798,5377,5217,5245,5640,5201,5498,5694,5617,5235,5460,5662,5666,5678,5743,5757,5125,5387,5634,5718,5738,5767,5147,5533,5086,5801,5525,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168])).
% 82.50/82.55 cnf(5880,plain,
% 82.50/82.55 (P1(f15(a2,a3,a3,a2),a2,a3)),
% 82.50/82.55 inference(scs_inference,[],[5729,5798,5377,5217,5245,5640,5201,5498,5694,5617,5235,5460,5662,5666,5678,5743,5757,5125,5387,5634,5718,5738,5767,5147,5533,5086,5801,5525,5337,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245])).
% 82.50/82.55 cnf(5882,plain,
% 82.50/82.55 (P1(f15(a2,a3,a3,a2),a3,a2)),
% 82.50/82.55 inference(scs_inference,[],[5729,5798,5377,5217,5245,5640,5201,5498,5694,5617,5235,5460,5662,5666,5678,5743,5757,5125,5387,5634,5718,5738,5767,5147,5533,5086,5801,5525,5337,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244])).
% 82.50/82.55 cnf(5885,plain,
% 82.50/82.55 (P9(x58851,x58852,x58852,x58851)),
% 82.50/82.55 inference(rename_variables,[],[5729])).
% 82.50/82.55 cnf(5887,plain,
% 82.50/82.55 (P9(a17,f5(a17,a3,a3),a3,a3)),
% 82.50/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5377,5217,5245,5640,5201,5498,5694,5617,5235,5460,5662,5666,5678,5743,5757,5125,5387,5634,5718,5738,5767,5147,5533,5086,5801,5525,5337,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186])).
% 82.50/82.55 cnf(5888,plain,
% 82.50/82.55 (P9(x58881,x58882,x58882,x58881)),
% 82.50/82.55 inference(rename_variables,[],[5729])).
% 82.50/82.55 cnf(5894,plain,
% 82.50/82.55 (P2(a2,a3,a3,a3)),
% 82.50/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5377,5217,5245,5640,5201,5498,5694,5617,5235,5460,5662,5666,5678,5743,5757,5125,5387,5634,5718,5738,5767,5147,5533,5086,5801,5525,5337,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181])).
% 82.50/82.55 cnf(5896,plain,
% 82.50/82.55 (P5(x58961,a3,x58961,f26(a2,x58961,a3,a3,a2))),
% 82.50/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5377,5217,5245,5640,5201,5498,5694,5617,5235,5460,5662,5666,5678,5743,5757,5125,5387,5634,5718,5738,5767,5147,5533,5086,5801,5525,5337,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197])).
% 82.50/82.55 cnf(5897,plain,
% 82.50/82.55 (P9(x58971,x58972,x58972,x58971)),
% 82.50/82.55 inference(rename_variables,[],[5729])).
% 82.50/82.55 cnf(5900,plain,
% 82.50/82.55 (P9(x59001,x59002,x59002,x59001)),
% 82.50/82.55 inference(rename_variables,[],[5729])).
% 82.50/82.55 cnf(5902,plain,
% 82.50/82.55 (P1(f13(a17,a3,a3,a17,a3),a17,a3)),
% 82.50/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5377,5217,5245,5640,5201,5498,5694,5617,5235,5460,5662,5666,5678,5743,5757,5125,5387,5634,5718,5738,5767,5147,5533,5086,5801,5525,4910,5337,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194])).
% 82.50/82.55 cnf(5906,plain,
% 82.50/82.55 (P10(f24(a3,a16,a3,a16,a19,a19),a19,a3,a3)),
% 82.50/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5377,5217,5245,5640,5201,5498,5694,5617,5235,5460,5662,5666,5678,5743,5757,5125,5387,5634,5718,5738,5767,5147,5533,5086,5801,5525,4910,5332,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201])).
% 82.50/82.55 cnf(5908,plain,
% 82.50/82.55 (P2(f9(a2,a2,a16),a2,a2,a16)),
% 82.50/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5900,5377,5217,5245,5640,5201,5498,5694,5617,5235,5460,5662,5666,5678,5743,5757,5125,5387,5634,5718,5738,5767,5147,5533,5086,5801,5175,5525,4910,5332,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201,188])).
% 82.50/82.55 cnf(5909,plain,
% 82.50/82.55 (P9(x59091,x59092,x59092,x59091)),
% 82.50/82.55 inference(rename_variables,[],[5729])).
% 82.50/82.55 cnf(5912,plain,
% 82.50/82.55 (P9(x59121,x59122,x59122,x59121)),
% 82.50/82.55 inference(rename_variables,[],[5729])).
% 82.50/82.55 cnf(5914,plain,
% 82.50/82.55 (P1(f6(a17,a3,a3),a3,a17)),
% 82.50/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5900,5909,5912,5377,5217,5245,5640,5201,5498,5694,5617,5235,5460,5662,5666,5678,5743,5757,5125,5387,5634,5718,5738,5767,5147,5533,5086,5801,5175,5525,4910,5332,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201,188,196,175])).
% 82.50/82.55 cnf(5915,plain,
% 82.50/82.55 (P9(x59151,x59152,x59152,x59151)),
% 82.50/82.55 inference(rename_variables,[],[5729])).
% 82.50/82.55 cnf(5917,plain,
% 82.50/82.55 (P9(a17,f6(a3,a17,a3),a3,a3)),
% 82.50/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5900,5909,5912,5915,5377,5217,5245,5640,5201,5498,5694,5617,5235,5460,5662,5666,5678,5743,5757,5125,5387,5634,5718,5738,5767,5147,5533,5086,5801,5175,5525,4910,5332,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201,188,196,175,187])).
% 82.50/82.55 cnf(5918,plain,
% 82.50/82.55 (P9(x59181,x59182,x59182,x59181)),
% 82.50/82.55 inference(rename_variables,[],[5729])).
% 82.50/82.55 cnf(5920,plain,
% 82.50/82.55 (P9(a16,a16,a17,a3)),
% 82.50/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5900,5909,5912,5915,5918,5377,5217,5245,5640,5201,5498,5694,5617,5235,5460,5662,5666,5678,5743,5757,5125,5387,5634,5718,5738,5767,5147,5533,5086,5801,5175,5525,4910,5332,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201,188,196,175,187,179])).
% 82.50/82.55 cnf(5921,plain,
% 82.50/82.55 (P9(x59211,x59212,x59212,x59211)),
% 82.50/82.55 inference(rename_variables,[],[5729])).
% 82.50/82.55 cnf(5924,plain,
% 82.50/82.55 (P9(x59241,x59242,x59242,x59241)),
% 82.50/82.55 inference(rename_variables,[],[5729])).
% 82.50/82.55 cnf(5926,plain,
% 82.50/82.55 (P10(a18,a18,a3,a17)),
% 82.63/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5900,5909,5912,5915,5918,5921,5377,5217,5245,5422,5640,5201,5498,5694,5456,5617,5235,5460,5662,5666,5678,5743,5757,5125,5387,5634,5718,5738,5767,5147,5533,5086,5801,5175,5525,4910,5332,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201,188,196,175,187,179,198,237])).
% 82.63/82.55 cnf(5929,plain,
% 82.63/82.55 (P3(f24(a3,a3,a3,a3,a3,a3),a3,a3)),
% 82.63/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5900,5909,5912,5915,5918,5921,5377,5217,5245,5422,5640,5201,5498,5694,5456,5617,5235,5460,5662,5666,5678,5743,5757,5125,5387,5634,5718,5738,5767,5147,5533,5086,5801,5175,5525,4910,5332,4999,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201,188,196,175,187,179,198,237,200])).
% 82.63/82.55 cnf(5932,plain,
% 82.63/82.55 (P9(x59321,x59322,x59322,x59321)),
% 82.63/82.55 inference(rename_variables,[],[5729])).
% 82.63/82.55 cnf(5935,plain,
% 82.63/82.55 (P9(x59351,x59352,x59352,x59351)),
% 82.63/82.55 inference(rename_variables,[],[5729])).
% 82.63/82.55 cnf(5937,plain,
% 82.63/82.55 (P5(f20(a3,x59371),x59371,x59371,a3)),
% 82.63/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5900,5909,5912,5915,5918,5921,5924,5932,5377,5217,5245,5422,5640,5201,5498,5694,5456,5617,5235,5460,5662,5666,5678,5743,5757,5125,5387,5634,5508,5718,5738,5767,5147,5533,5086,5801,5175,5525,4910,5332,5158,4999,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201,188,196,175,187,179,198,237,200,191,174,240])).
% 82.63/82.55 cnf(5939,plain,
% 82.63/82.55 (P9(a2,a3,a2,a2)),
% 82.63/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5900,5909,5912,5915,5918,5921,5924,5932,5377,5217,5245,5422,5640,5201,5498,5694,5456,5617,5235,5460,5662,5666,5676,5678,5743,5757,5125,5387,5634,5508,5718,5738,5767,5147,5533,5086,5801,5175,5525,4910,5332,5158,4999,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201,188,196,175,187,179,198,237,200,191,174,240,238])).
% 82.63/82.55 cnf(5941,plain,
% 82.63/82.55 (P9(a3,a2,a17,a17)),
% 82.63/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5900,5909,5912,5915,5918,5921,5924,5932,5377,5217,5245,5422,5640,5201,5498,5694,5456,5617,5235,5460,5662,5666,5676,5678,5743,5757,5125,5387,5634,5508,5718,5738,5767,5147,5533,5086,5801,5175,5525,4910,5332,5158,4999,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201,188,196,175,187,179,198,237,200,191,174,240,238,178])).
% 82.63/82.55 cnf(5944,plain,
% 82.63/82.55 (P9(x59441,x59442,x59442,x59441)),
% 82.63/82.55 inference(rename_variables,[],[5729])).
% 82.63/82.55 cnf(5948,plain,
% 82.63/82.55 (P4(a2,a2,f15(a2,a2,a2,a2),a2)),
% 82.63/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5900,5909,5912,5915,5918,5921,5924,5932,5935,5377,5217,5245,5422,5640,5201,5498,5694,5456,5617,5235,5460,5662,5666,5676,5678,5743,5757,4923,5125,5387,5634,5508,5718,5738,5767,5147,5533,5086,5801,5175,5525,4910,5332,5158,4999,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201,188,196,175,187,179,198,237,200,191,174,240,238,178,190,195,233])).
% 82.63/82.55 cnf(5950,plain,
% 82.63/82.55 (P10(a3,a17,a3,a17)),
% 82.63/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5900,5909,5912,5915,5918,5921,5924,5932,5935,5377,5217,5245,5422,5566,5640,5201,5498,5694,5456,5617,5235,5460,5662,5666,5676,5678,5743,5757,4923,5125,5387,5634,5508,5718,5738,5767,5147,5533,5086,5801,5175,5525,4910,5332,5158,4999,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201,188,196,175,187,179,198,237,200,191,174,240,238,178,190,195,233,176])).
% 82.63/82.55 cnf(5953,plain,
% 82.63/82.55 (P3(f20(a2,x59531),x59531,a2)),
% 82.63/82.55 inference(rename_variables,[],[5634])).
% 82.63/82.55 cnf(5955,plain,
% 82.63/82.55 (P10(a18,a18,a3,a2)),
% 82.63/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5900,5909,5912,5915,5918,5921,5924,5932,5935,5944,5432,5377,5217,5245,5422,5566,5640,5201,5498,5694,5456,5617,5235,5460,5662,5666,5676,5678,5743,5757,4923,4987,5125,5387,5634,5508,5718,5738,5767,5147,5533,5086,5801,5175,5525,4910,5332,5158,4999,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201,188,196,175,187,179,198,237,200,191,174,240,238,178,190,195,233,176,224,177])).
% 82.63/82.55 cnf(5958,plain,
% 82.63/82.55 (P3(a17,a3,a3)),
% 82.63/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5900,5909,5912,5915,5918,5921,5924,5932,5935,5944,5432,5377,5217,5245,5422,5566,5640,5201,5498,5694,5456,5617,5235,5460,5625,5662,5666,5676,5678,5743,5757,4923,4987,5125,5387,5634,5508,5718,5738,5767,5147,5533,5086,5801,5175,5525,4910,5332,5158,4999,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201,188,196,175,187,179,198,237,200,191,174,240,238,178,190,195,233,176,224,177,159])).
% 82.63/82.55 cnf(5960,plain,
% 82.63/82.55 (P3(f7(a3,a3,a2),a3,a2)),
% 82.63/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5900,5909,5912,5915,5918,5921,5924,5932,5935,5944,5432,5377,5217,5245,5422,5566,5640,5201,5498,5694,5456,5617,5235,5460,5625,5658,5662,5666,5676,5678,5743,5757,4923,4987,5125,5387,5634,5508,5718,5738,5767,5147,5550,5533,5086,5801,5175,5525,4910,5332,5158,4999,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201,188,196,175,187,179,198,237,200,191,174,240,238,178,190,195,233,176,224,177,159,183])).
% 82.63/82.55 cnf(5962,plain,
% 82.63/82.55 (P2(f10(a2,a2,a2),a2,a2,a2)),
% 82.63/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5900,5909,5912,5915,5918,5921,5924,5932,5935,5944,5432,5377,5217,5245,5422,5566,5640,5201,5498,5694,5456,5617,5644,5235,5460,5625,5658,5662,5666,5676,5678,5743,5757,4923,4987,5125,5387,5634,5953,5508,5718,5738,5767,5147,5550,5533,5086,5801,5175,5525,4943,4910,5332,5158,4999,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201,188,196,175,187,179,198,237,200,191,174,240,238,178,190,195,233,176,224,177,159,183,189])).
% 82.63/82.55 cnf(5967,plain,
% 82.63/82.55 (P10(a3,a3,x59671,x59671)),
% 82.63/82.55 inference(rename_variables,[],[5632])).
% 82.63/82.55 cnf(5970,plain,
% 82.63/82.55 (P10(a3,a3,x59701,x59701)),
% 82.63/82.55 inference(rename_variables,[],[5632])).
% 82.63/82.55 cnf(5972,plain,
% 82.63/82.55 (P3(a17,a2,a2)),
% 82.63/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5900,5909,5912,5915,5918,5921,5924,5932,5935,5944,5432,5377,5217,5245,5422,5566,5640,5201,5498,5694,5456,5617,5632,5967,5644,5235,5460,5625,5658,5662,5666,5676,5678,5743,5757,4923,4987,5125,5387,5634,5953,5508,5718,5738,5767,5147,5550,5533,5086,5801,5175,5237,5525,4943,4910,5332,5158,4999,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201,188,196,175,187,179,198,237,200,191,174,240,238,178,190,195,233,176,224,177,159,183,189,203,204,4703])).
% 82.63/82.55 cnf(5975,plain,
% 82.63/82.55 (P9(a17,a17,a17,a3)),
% 82.63/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5900,5909,5912,5915,5918,5921,5924,5932,5935,5944,5432,5377,5217,5245,5422,5566,5640,5201,5498,5694,5456,5617,5632,5967,5644,5235,5460,5625,5658,5662,5666,5676,5678,5743,5757,4923,4987,5125,5387,5634,5953,5508,5718,5738,5767,5147,5550,5533,5086,5801,5175,5237,5525,4943,4910,5332,5158,4999,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201,188,196,175,187,179,198,237,200,191,174,240,238,178,190,195,233,176,224,177,159,183,189,203,204,4703,582,1588])).
% 82.63/82.55 cnf(5977,plain,
% 82.63/82.55 (P9(a18,a18,a17,a3)),
% 82.63/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5900,5909,5912,5915,5918,5921,5924,5932,5935,5944,5432,5377,5217,5245,5422,5566,5640,5201,5498,5694,5456,5617,5632,5967,5644,5235,5460,5625,5658,5662,5666,5676,5678,5743,5757,4923,4987,5125,5387,5634,5953,5508,5718,5738,5767,5147,5550,5533,5086,5801,5175,5237,5525,4943,4910,5332,5158,4999,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201,188,196,175,187,179,198,237,200,191,174,240,238,178,190,195,233,176,224,177,159,183,189,203,204,4703,582,1588,3049])).
% 82.63/82.55 cnf(5979,plain,
% 82.63/82.55 (P9(a19,a19,a3,a17)),
% 82.63/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5900,5909,5912,5915,5918,5921,5924,5932,5935,5944,5432,5377,5217,5245,5422,5566,5640,5201,5498,5694,5456,5617,5632,5967,5644,5235,5460,5625,5658,5662,5666,5676,5678,5743,5757,4923,4987,5125,5387,5634,5953,5508,5718,5738,5767,5147,5550,5533,5086,5801,5175,5237,5525,4943,4910,5332,5158,4999,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201,188,196,175,187,179,198,237,200,191,174,240,238,178,190,195,233,176,224,177,159,183,189,203,204,4703,582,1588,3049,588])).
% 82.63/82.55 cnf(5983,plain,
% 82.63/82.55 (P9(a2,a2,a17,a3)),
% 82.63/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5900,5909,5912,5915,5918,5921,5924,5932,5935,5944,5432,5377,5217,5245,5422,5566,5640,5201,5498,5694,5456,5617,5632,5967,5644,5235,5460,5625,5658,5662,5666,5676,5678,5743,5757,4923,4987,5125,5387,5634,5953,5508,5718,5738,5767,5147,5550,5533,5086,5801,5175,5237,5525,4943,4910,5332,5158,4999,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201,188,196,175,187,179,198,237,200,191,174,240,238,178,190,195,233,176,224,177,159,183,189,203,204,4703,582,1588,3049,588,4736,1238])).
% 82.63/82.55 cnf(5985,plain,
% 82.63/82.55 (P7(a3,a3,a3,a17,a3,a3,a3,a17)),
% 82.63/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5900,5909,5912,5915,5918,5921,5924,5932,5935,5944,5432,5377,5217,5245,5422,5566,5640,5201,5498,5694,5456,5617,5632,5967,5644,5235,5460,5625,5658,5662,5666,5676,5678,5743,5757,4923,4987,5125,5387,5634,5953,5508,5718,5738,5767,5147,5550,5533,5086,5801,5175,5237,5525,4943,4910,5332,5158,4999,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201,188,196,175,187,179,198,237,200,191,174,240,238,178,190,195,233,176,224,177,159,183,189,203,204,4703,582,1588,3049,588,4736,1238,4327])).
% 82.63/82.55 cnf(5987,plain,
% 82.63/82.55 (P9(a3,a3,a17,a3)),
% 82.63/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5900,5909,5912,5915,5918,5921,5924,5932,5935,5944,5432,5377,5217,5245,5422,5566,5640,5201,5498,5694,5456,5617,5632,5967,5644,5235,5460,5625,5658,5662,5666,5676,5678,5743,5757,4923,4987,5125,5387,5634,5953,5508,5718,5738,5767,5147,5550,5533,5086,5801,5175,5237,5525,4943,4910,5332,5158,4999,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201,188,196,175,187,179,198,237,200,191,174,240,238,178,190,195,233,176,224,177,159,183,189,203,204,4703,582,1588,3049,588,4736,1238,4327,540])).
% 82.63/82.55 cnf(5989,plain,
% 82.63/82.55 (P9(a18,a18,a3,a17)),
% 82.63/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5900,5909,5912,5915,5918,5921,5924,5932,5935,5944,5432,5377,5217,5245,5422,5566,5640,5201,5498,5694,5456,5617,5632,5967,5644,5235,5460,5625,5658,5662,5666,5676,5678,5743,5757,4923,4987,5125,5387,5634,5953,5508,5718,5738,5767,5147,5550,5533,5086,5801,5175,5237,5525,4943,4910,5332,5158,4999,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201,188,196,175,187,179,198,237,200,191,174,240,238,178,190,195,233,176,224,177,159,183,189,203,204,4703,582,1588,3049,588,4736,1238,4327,540,513])).
% 82.63/82.55 cnf(5991,plain,
% 82.63/82.55 (P9(a17,a17,a3,a17)),
% 82.63/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5900,5909,5912,5915,5918,5921,5924,5932,5935,5944,5432,5377,5217,5245,5422,5566,5640,5201,5498,5694,5456,5617,5632,5967,5644,5235,5460,5625,5658,5662,5666,5676,5678,5743,5757,4923,4987,5125,5387,5634,5953,5508,5718,5738,5767,5147,5550,5533,5086,5801,5175,5237,5525,4943,4910,5332,5158,4999,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201,188,196,175,187,179,198,237,200,191,174,240,238,178,190,195,233,176,224,177,159,183,189,203,204,4703,582,1588,3049,588,4736,1238,4327,540,513,1592])).
% 82.63/82.55 cnf(5993,plain,
% 82.63/82.55 (P9(f8(a3,a3,a3,a2),a3,a3,a2)),
% 82.63/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5900,5909,5912,5915,5918,5921,5924,5932,5935,5944,5432,5377,5217,5245,5422,5566,5640,5201,5498,5694,5456,5617,5632,5967,5644,5235,5460,5625,5658,5662,5666,5676,5678,5743,5757,4923,4987,5125,5387,5634,5953,5508,5718,5738,5767,5147,5550,5533,5086,5801,5175,5237,5525,4943,4910,5332,5158,4999,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201,188,196,175,187,179,198,237,200,191,174,240,238,178,190,195,233,176,224,177,159,183,189,203,204,4703,582,1588,3049,588,4736,1238,4327,540,513,1592,184])).
% 82.63/82.55 cnf(6002,plain,
% 82.63/82.55 (~P5(a2,a3,a2,a17)+P1(f23(a3,a3,a17,a17),a17,a17)),
% 82.63/82.55 inference(scs_inference,[],[5018,5729,5798,5885,5888,5897,5900,5909,5912,5915,5918,5921,5924,5932,5935,5944,5432,5377,5217,5245,5422,5566,5640,5201,5498,5694,5456,5617,5632,5967,5970,5644,5235,5460,5625,5658,5662,5666,5676,5678,5743,5757,4923,4987,5125,5387,5634,5953,5508,5718,5738,5767,5147,5550,5533,5086,5801,5175,5237,5525,4943,5486,4910,5332,5158,4999,5337,145,143,350,4645,1606,1340,255,256,150,160,4061,4634,3059,149,1583,151,544,1601,153,254,602,222,157,252,253,161,165,793,164,221,250,511,163,148,442,162,223,249,251,167,166,168,245,244,185,186,220,202,181,197,173,194,170,201,188,196,175,187,179,198,237,200,191,174,240,238,178,190,195,233,176,224,177,159,183,189,203,204,4703,582,1588,3049,588,4736,1238,4327,540,513,1592,184,247,227,259,193])).
% 82.63/82.55 cnf(6008,plain,
% 82.63/82.55 (P1(f15(a3,a17,a17,a3),a3,a17)),
% 82.63/82.55 inference(scs_inference,[],[5975,5771])).
% 82.63/82.55 cnf(6009,plain,
% 82.63/82.55 (P10(a1,a3,a2,a16)),
% 82.63/82.55 inference(scs_inference,[],[5860,350])).
% 82.63/82.55 cnf(6010,plain,
% 82.63/82.55 (P9(x60101,x60102,x60101,x60102)),
% 82.63/82.55 inference(rename_variables,[],[5860])).
% 82.63/82.55 cnf(6014,plain,
% 82.63/82.55 (P8(a18,a18,a2,a2,a2,a2,a19,a19)),
% 82.63/82.55 inference(scs_inference,[],[5860,5914,4882,350,4327,4634])).
% 82.63/82.55 cnf(6019,plain,
% 82.63/82.55 (P10(a2,a2,a3,a2)),
% 82.63/82.55 inference(scs_inference,[],[5860,5836,5902,5914,4882,350,4327,4634,1606,160])).
% 82.63/82.55 cnf(6025,plain,
% 82.63/82.55 (P7(a3,a17,a3,a17,a17,a2,a17,a2)),
% 82.63/82.55 inference(scs_inference,[],[5860,5836,5765,5842,5880,5902,5914,4882,350,4327,4634,1606,160,4645,1340,256])).
% 82.63/82.55 cnf(6029,plain,
% 82.63/82.55 (P1(a2,a2,a3)),
% 82.63/82.55 inference(scs_inference,[],[5860,5836,5765,5840,5842,5733,5880,5902,5914,4882,350,4327,4634,1606,160,4645,1340,256,4061,149])).
% 82.63/82.55 cnf(6031,plain,
% 82.63/82.55 (P3(f7(a3,a3,a2),a2,a3)),
% 82.63/82.55 inference(scs_inference,[],[5860,5836,5765,5840,5842,5733,5880,5902,5914,5960,4882,350,4327,4634,1606,160,4645,1340,256,4061,149,151])).
% 82.63/82.55 cnf(6033,plain,
% 82.63/82.55 (P7(a17,a3,a17,a2,a3,a17,a17,a2)),
% 82.63/82.55 inference(scs_inference,[],[5860,5836,5765,5840,5842,5733,5880,5902,5914,5960,4882,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255])).
% 82.63/82.55 cnf(6035,plain,
% 82.63/82.55 (P1(a17,a2,a2)),
% 82.63/82.55 inference(scs_inference,[],[5860,5836,5765,5840,5842,5972,5733,5880,5902,5914,5960,4882,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150])).
% 82.63/82.55 cnf(6037,plain,
% 82.63/82.55 (P10(a3,f5(a3,a3,a3),a3,a3)),
% 82.63/82.55 inference(scs_inference,[],[5860,5836,5765,5840,5842,5972,5733,5880,5815,5902,5914,5960,4882,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583])).
% 82.63/82.55 cnf(6039,plain,
% 82.63/82.55 (P8(a3,a2,a3,a2,a3,a2,a3,a2)),
% 82.63/82.55 inference(scs_inference,[],[5860,5836,5765,5840,5842,5874,5972,5733,5880,5815,5902,5914,5960,4882,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221])).
% 82.63/82.55 cnf(6041,plain,
% 82.63/82.55 (P5(f24(a3,a3,a3,a3,a3,a3),a3,f24(a3,a3,a3,a3,a3,a3),a3)),
% 82.63/82.55 inference(scs_inference,[],[5860,5836,5765,5840,5842,5874,5972,5733,5880,5929,5815,5902,5914,5960,4882,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153])).
% 82.63/82.55 cnf(6043,plain,
% 82.63/82.55 (P8(a19,a19,a2,a2,a18,a18,a16,a16)),
% 82.63/82.55 inference(scs_inference,[],[5860,5836,5765,5208,5840,5842,5874,5972,5733,5880,5929,5815,5902,5914,5960,4882,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252])).
% 82.63/82.55 cnf(6045,plain,
% 82.63/82.55 (P1(a3,a2,a3)),
% 82.63/82.55 inference(scs_inference,[],[5860,5836,5765,5208,5824,5840,5842,5874,5972,5733,5880,5929,5815,5902,5914,5960,4882,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157])).
% 82.63/82.55 cnf(6049,plain,
% 82.63/82.55 (P10(a3,a1,a16,a2)),
% 82.63/82.55 inference(scs_inference,[],[5860,5836,5765,5208,5824,5797,5840,5842,5874,5972,5882,5733,5880,5929,5815,5902,5914,5960,4882,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161])).
% 82.63/82.55 cnf(6055,plain,
% 82.63/82.55 (P7(a2,a3,a3,a2,a2,a3,a3,a2)),
% 82.63/82.55 inference(scs_inference,[],[5860,5836,5765,5208,5824,5797,5840,5842,5874,5972,5882,5733,5880,5929,5815,5906,5902,5914,5960,4882,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793])).
% 82.63/82.55 cnf(6057,plain,
% 82.63/82.55 (P7(a17,a2,a3,a17,a17,a2,a3,a17)),
% 82.63/82.55 inference(scs_inference,[],[5860,5836,5765,5208,5824,5797,5840,5842,5874,5972,5882,5733,5880,5929,5815,5906,5902,5914,5960,4882,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254])).
% 82.63/82.55 cnf(6059,plain,
% 82.63/82.55 (P5(a16,a18,a2,a18)),
% 82.63/82.55 inference(scs_inference,[],[5860,5836,5765,5208,5824,5680,5797,5840,5842,5874,5972,5882,5733,5880,5929,5815,5906,5902,5914,5960,4882,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164])).
% 82.63/82.55 cnf(6061,plain,
% 82.63/82.55 (P8(a3,a17,x60611,x60612,a2,a2,x60611,x60612)),
% 82.63/82.55 inference(scs_inference,[],[5860,5572,5836,5765,5208,5824,5680,5797,5840,5842,5874,5972,5882,5733,5880,5929,5815,5906,5902,5914,5960,4882,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222])).
% 82.63/82.55 cnf(6063,plain,
% 82.63/82.55 (P7(a17,a3,a3,a17,a3,a17,a3,a17)),
% 82.63/82.55 inference(scs_inference,[],[5860,5572,5836,5765,5208,5824,5415,5680,5797,5840,5842,5874,5972,5882,5733,5880,5929,5815,5906,5902,5914,5960,4882,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253])).
% 82.63/82.55 cnf(6069,plain,
% 82.63/82.55 (P9(a16,a16,a3,a17)),
% 82.63/82.55 inference(scs_inference,[],[5860,5572,5836,5765,5920,5208,5824,5415,5680,5797,5840,5842,5874,5972,5882,5273,5733,5537,5880,5929,5815,5906,5902,5914,5960,4882,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163])).
% 82.63/82.55 cnf(6073,plain,
% 82.63/82.55 (P8(a2,a2,a16,a16,a19,a19,a18,a18)),
% 82.63/82.55 inference(scs_inference,[],[5860,5413,5572,5836,5765,5920,5208,5824,5415,5680,5797,5840,5842,5874,5972,5882,5273,5733,5537,5880,5929,5815,5906,5902,5914,5960,4882,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249])).
% 82.63/82.55 cnf(6077,plain,
% 82.63/82.55 (P4(a3,a17,a3,a3)),
% 82.63/82.55 inference(scs_inference,[],[5860,5413,5572,5836,5765,5920,5208,5824,5415,5680,5797,5840,5842,5874,5878,5972,5882,5273,5733,5537,5880,5929,5815,5906,5902,5914,5960,4882,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167])).
% 82.63/82.55 cnf(6079,plain,
% 82.63/82.55 (P8(a3,a17,a3,a3,a3,a3,a17,a3)),
% 82.63/82.55 inference(scs_inference,[],[5860,5413,5572,5836,5765,5920,5208,5824,4845,5415,5680,5797,5840,5842,5874,5878,5972,5882,5273,5733,5537,5880,5929,5815,5906,5902,5914,5960,4882,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251])).
% 82.63/82.55 cnf(6083,plain,
% 82.63/82.55 (P4(a2,a2,a2,f15(a2,a2,a2,a2))),
% 82.63/82.55 inference(scs_inference,[],[5860,5413,5572,5836,5765,5920,5208,5824,4845,5415,5680,5797,5840,5842,5874,5878,5972,5882,5273,5733,5537,5880,5929,5948,5815,5906,5542,5902,5914,5960,4882,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168])).
% 82.63/82.55 cnf(6087,plain,
% 82.63/82.55 (P9(f10(a2,a2,a2),a2,a2,a2)),
% 82.63/82.55 inference(scs_inference,[],[5860,5413,5572,5836,5765,5920,5064,5208,5824,5872,4845,5415,5680,5797,5840,5842,5874,5878,5972,5882,5273,5733,5537,5880,5929,5948,5815,5906,5542,5902,5914,5960,5962,4871,4882,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239])).
% 82.63/82.55 cnf(6088,plain,
% 82.63/82.55 (P8(x60881,x60882,x60881,x60882,a2,a2,a2,a2)),
% 82.63/82.55 inference(rename_variables,[],[5872])).
% 82.63/82.55 cnf(6090,plain,
% 82.63/82.55 (P9(x60901,f5(x60901,x60901,x60902),x60902,x60901)),
% 82.63/82.55 inference(scs_inference,[],[5860,6010,5413,5572,5836,5765,5920,5064,5208,5824,5872,4845,5415,5680,5797,5840,5842,5874,5878,5972,5882,5273,5733,5537,5880,5929,5948,5815,5906,5542,5902,5914,5960,5962,4871,4882,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186])).
% 82.63/82.55 cnf(6092,plain,
% 82.63/82.55 (P1(f15(a3,a17,a17,a3),a17,a3)),
% 82.63/82.55 inference(scs_inference,[],[5860,6010,5413,5572,5836,5765,5920,5975,5064,5208,5824,5872,4845,5415,5680,5797,5840,5842,5874,5878,5972,5882,5273,5733,5537,5880,5929,5948,5815,5906,5542,5902,5914,5960,5962,4871,4882,5486,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244])).
% 82.63/82.55 cnf(6094,plain,
% 82.63/82.55 (P10(f24(a3,a3,a3,a3,a17,a17),a17,a3,a3)),
% 82.63/82.55 inference(scs_inference,[],[5860,6010,5958,5413,5572,5836,5765,5920,5975,5064,5208,5824,5872,4845,5415,5680,5797,5840,5842,5874,5878,5972,5882,5273,5733,5537,5880,5929,5948,5815,5906,5542,5902,5914,5960,5962,4871,4882,5486,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202])).
% 82.63/82.55 cnf(6097,plain,
% 82.63/82.55 (P9(x60971,x60972,x60971,x60972)),
% 82.63/82.55 inference(rename_variables,[],[5860])).
% 82.63/82.55 cnf(6104,plain,
% 82.63/82.55 (P1(f13(a3,a3,a3,a3,a17),a3,a17)),
% 82.63/82.55 inference(scs_inference,[],[5860,6010,6097,5958,5413,5572,5836,5765,5920,5975,5064,5208,5824,5822,5872,4845,5415,5680,5797,5840,5842,5874,5878,5972,5882,5273,5733,5537,5880,5929,5948,5815,5906,5542,5902,5914,5960,5962,5729,4871,4882,4951,4839,5486,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194])).
% 82.63/82.55 cnf(6105,plain,
% 82.63/82.55 (P9(x61051,x61052,x61051,x61052)),
% 82.63/82.55 inference(rename_variables,[],[5860])).
% 82.63/82.55 cnf(6107,plain,
% 82.63/82.55 (P7(a17,a3,a3,a3,a17,a3,a3,a3)),
% 82.63/82.55 inference(scs_inference,[],[5860,6010,6097,5958,5413,5572,5836,5765,5920,5975,5064,5208,5824,5822,5872,4845,5415,5680,5797,5840,5842,5874,5878,5972,5882,5273,5733,5537,5880,5929,5948,5815,5906,5542,5902,5914,5960,5962,5729,4871,4882,4951,4839,5486,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220])).
% 82.63/82.55 cnf(6115,plain,
% 82.63/82.55 (P9(x61151,f6(x61151,x61151,x61152),x61152,x61151)),
% 82.63/82.55 inference(scs_inference,[],[5860,6010,6097,6105,5958,5413,5572,5836,5765,5920,5975,5064,5208,5824,5822,5872,4845,5415,5680,5797,5840,5842,5874,5878,5972,5882,5273,5733,5537,5880,5929,5948,5815,5906,5542,5751,5902,5914,5960,5962,5300,5729,4871,4882,4951,4839,5486,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187])).
% 82.63/82.55 cnf(6117,plain,
% 82.63/82.55 (P10(a18,a18,a17,a3)),
% 82.63/82.55 inference(scs_inference,[],[5860,6010,6097,6105,5958,5413,5572,5836,5765,5920,5466,5975,5064,5208,5824,5822,5872,4845,5415,5680,5797,5840,5842,5874,5878,5972,5882,5273,5733,5537,5880,5929,5948,5815,5906,5542,5751,5902,5914,5960,5962,5300,5729,4871,5456,4882,4951,4839,5486,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237])).
% 82.63/82.55 cnf(6120,plain,
% 82.63/82.55 (P10(f26(a17,a17,a3,a2,a17),a3,a17,a17)),
% 82.63/82.55 inference(scs_inference,[],[5860,6010,6097,6105,5958,5413,5572,5836,5765,5920,5466,5975,5064,5208,5824,5822,5872,4845,5415,5680,5797,5840,5842,5874,5878,5972,5882,5273,5733,5537,5880,5929,5948,5815,5906,5542,5751,5902,5914,5960,5962,5300,5729,4871,5456,4882,4951,4839,5486,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198])).
% 82.63/82.55 cnf(6121,plain,
% 82.63/82.55 (P9(x61211,x61212,x61211,x61212)),
% 82.63/82.55 inference(rename_variables,[],[5860])).
% 82.63/82.55 cnf(6123,plain,
% 82.63/82.55 (P1(f6(x61231,x61231,x61232),x61232,x61231)),
% 82.63/82.55 inference(scs_inference,[],[5860,6010,6097,6105,6121,5958,5413,5572,5836,5765,5920,5466,5975,5064,5208,5824,5822,5872,4845,5415,5680,5797,5840,5842,5874,5878,5972,5882,5273,5733,5537,5880,5929,5948,5815,5906,5542,5751,5902,5914,5960,5962,5300,5729,4871,5456,4882,4951,4839,5486,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198,175])).
% 82.63/82.55 cnf(6126,plain,
% 82.63/82.55 (P9(x61261,x61262,x61261,x61262)),
% 82.63/82.55 inference(rename_variables,[],[5860])).
% 82.63/82.55 cnf(6128,plain,
% 82.63/82.55 (P3(f24(a3,a3,a3,a3,a17,a17),a3,a3)),
% 82.63/82.55 inference(scs_inference,[],[5860,6010,6097,6105,6121,5958,5413,5572,5836,5765,5920,5466,5975,5064,5208,5824,5822,5872,4845,5415,5680,5797,5840,5842,5874,5878,5972,5882,5273,5733,5537,5880,5929,5948,5815,5906,5542,5751,5902,5914,5960,5962,5300,5729,4871,5456,4882,4951,4839,5486,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198,175,196,200])).
% 82.63/82.55 cnf(6130,plain,
% 82.63/82.55 (P9(a2,a16,a18,a18)),
% 82.63/82.55 inference(scs_inference,[],[5860,6010,6097,6105,6121,5958,5413,5572,5836,5765,5920,5466,5975,5064,5208,5824,5822,5872,4845,5415,5680,5797,5840,5842,5874,5878,5972,5882,5273,5733,5537,5880,5929,5948,5815,5906,5542,5751,5902,5914,5960,5962,5300,5729,4871,5456,4882,4951,4839,5486,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198,175,196,200,178])).
% 82.63/82.55 cnf(6132,plain,
% 82.63/82.55 (P9(a2,a2,a3,a17)),
% 82.63/82.55 inference(scs_inference,[],[5860,6010,6097,6105,6121,5958,5413,5572,5836,5765,5920,5466,5975,5064,5208,5824,5822,5872,4845,5415,5680,5797,5840,5842,5874,5878,5972,5989,5882,5273,5733,5537,5880,5929,5948,5815,5906,5542,5751,5902,5914,5960,5962,5300,4876,5729,4871,5456,4882,4951,4839,5486,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198,175,196,200,178,238])).
% 82.63/82.55 cnf(6137,plain,
% 82.63/82.55 (P1(f5(x61371,x61371,x61372),x61372,x61371)),
% 82.63/82.55 inference(scs_inference,[],[5860,6010,6097,6105,6121,6126,5958,5413,5572,5836,5765,5920,5466,5975,5064,5208,5824,5822,5872,4845,5415,5680,5797,5840,5842,5874,5878,5972,5989,5882,5273,5733,5537,5880,5929,5948,5815,5906,5542,5751,5902,5914,5960,5962,5300,4876,5729,4871,5456,4882,4951,4839,5486,5206,4548,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198,175,196,200,178,238,191,174])).
% 82.63/82.55 cnf(6139,plain,
% 82.63/82.55 (P8(a3,a2,a2,a2,a2,a2,a2,a2)),
% 82.63/82.55 inference(scs_inference,[],[5860,6010,6097,6105,6121,6126,5958,5413,5572,5836,5765,5920,5466,5975,5064,5208,5824,5822,5872,4845,5415,5680,5797,5840,5842,5874,5878,5972,5989,5882,5273,5733,5537,5880,5929,5948,5815,5906,5542,5751,5902,5914,5960,5962,5300,4876,5729,4871,5456,5154,4882,4951,4839,5486,5206,4548,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198,175,196,200,178,238,191,174,227])).
% 82.63/82.55 cnf(6141,plain,
% 82.63/82.55 (P1(a2,a2,f21(a2,a2,a3,a3))),
% 82.63/82.55 inference(scs_inference,[],[5860,6010,6097,6105,6121,6126,5958,5413,5572,5836,5765,5920,5466,5975,5064,5208,5824,5822,5872,4845,5415,5680,5797,5840,5842,5874,5878,5972,5989,5882,5273,5733,5537,5880,5929,5948,5815,5906,5542,5751,5902,5914,5960,5962,5300,4876,5729,4871,5456,5154,4882,4951,4839,5486,5206,4548,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198,175,196,200,178,238,191,174,227,190])).
% 82.63/82.55 cnf(6144,plain,
% 82.63/82.55 (P9(x61441,x61442,x61441,x61442)),
% 82.63/82.55 inference(rename_variables,[],[5860])).
% 82.63/82.55 cnf(6146,plain,
% 82.63/82.55 (P3(f13(a18,a18,a18,a2,a16),a2,a16)),
% 82.63/82.55 inference(scs_inference,[],[5860,6010,6097,6105,6121,6126,5958,5413,5572,5836,5765,5920,5466,5975,5064,5208,5824,5822,5872,4845,5415,5680,5797,5840,5842,5874,5878,5972,5989,5882,5273,5733,5537,5712,5880,5929,5948,5815,5906,5542,5275,5751,5902,5914,5960,5962,5300,4876,5729,4871,5456,5154,4882,4951,4839,5486,5206,4548,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198,175,196,200,178,238,191,174,227,190,195,158])).
% 82.63/82.55 cnf(6148,plain,
% 82.63/82.55 (P1(a2,a2,f15(a2,a3,a3,a2))),
% 82.63/82.55 inference(scs_inference,[],[5860,6010,6097,6105,6121,6126,5958,5413,5572,5836,5765,5920,5466,5975,5064,5208,5824,5822,5872,4845,5415,5680,5797,5840,5842,5874,5878,5972,5989,5882,5273,5733,5537,5712,5880,5929,5948,5815,5906,5542,5275,5751,5902,5914,5960,5962,5300,4876,5729,4871,5456,5154,4882,4951,4839,5486,5206,4548,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198,175,196,200,178,238,191,174,227,190,195,158,152])).
% 82.63/82.55 cnf(6150,plain,
% 82.63/82.55 (P4(a2,a2,f20(a2,a2),a2)),
% 82.63/82.55 inference(scs_inference,[],[5860,6010,6097,6105,6121,6126,5958,5413,5572,5836,5765,5920,5466,5975,5064,5208,5824,5822,5872,6088,4845,5415,5680,5797,5840,5842,5874,5878,5972,5989,5882,5273,5811,5733,5537,5712,5880,5929,5948,5815,5906,5542,5275,5751,5902,5914,5960,5962,5300,4876,5729,4871,5456,5154,4882,4951,4839,5486,5206,4548,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198,175,196,200,178,238,191,174,227,190,195,158,152,233])).
% 82.63/82.55 cnf(6151,plain,
% 82.63/82.55 (P8(x61511,x61512,x61511,x61512,a2,a2,a2,a2)),
% 82.63/82.55 inference(rename_variables,[],[5872])).
% 82.63/82.55 cnf(6154,plain,
% 82.63/82.55 (P5(a2,a18,a2,a18)),
% 82.63/82.55 inference(scs_inference,[],[5860,6010,6097,6105,6121,6126,5958,5413,5572,5836,5765,5920,5466,5975,5064,5208,5824,5822,5872,6088,4845,5415,5680,5797,5840,5842,5874,5878,5972,5989,5882,5273,5811,5733,5537,5712,5880,5929,5948,5815,5906,5542,5275,5751,5902,5914,5960,5962,5300,4876,5729,4871,5456,5154,4882,4951,4839,5486,5206,4548,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198,175,196,200,178,238,191,174,227,190,195,158,152,233,180])).
% 82.63/82.55 cnf(6156,plain,
% 82.63/82.55 (P8(a3,a3,a3,a3,a2,a3,a2,a17)),
% 82.63/82.55 inference(scs_inference,[],[5860,6010,6097,6105,6121,6126,5958,5413,5572,5836,5765,5920,5466,5975,5064,5208,5824,5822,5872,6088,4845,5415,5680,5797,5840,5842,5874,5878,5894,5972,5989,5882,5273,5811,5733,5537,5712,5880,5929,5948,5815,5906,5542,5275,5751,5902,5914,5960,5962,5300,4876,5729,4871,5456,5154,4882,4951,4839,5486,5206,4548,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198,175,196,200,178,238,191,174,227,190,195,158,152,233,180,224])).
% 82.63/82.55 cnf(6160,plain,
% 82.63/82.55 (P3(a1,a2,a16)),
% 82.63/82.55 inference(scs_inference,[],[142,5860,6010,6097,6105,6121,6126,5958,5413,5572,5836,5765,5920,5466,5975,5064,5208,5824,5822,5872,6088,4845,5415,5680,5797,5840,5842,5870,5874,5878,5894,5972,5989,5882,5273,5811,5733,5537,5712,5880,5929,5948,5815,5906,5542,5275,5751,5902,5914,5960,5962,5300,4876,5729,4871,5456,5154,4882,4951,4839,5486,5206,4548,5191,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198,175,196,200,178,238,191,174,227,190,195,158,152,233,180,224,259,159])).
% 82.63/82.55 cnf(6162,plain,
% 82.63/82.55 (P4(a2,f4(a2,a2,a2),f4(a2,a2,a2),f4(a2,a2,a2))),
% 82.63/82.55 inference(scs_inference,[],[142,5860,6010,6097,6105,6121,6126,5958,5413,5572,5836,5765,5920,5466,5975,5064,5208,5824,5822,5872,6088,4845,5415,5680,5797,5840,5842,5870,5874,5878,5894,5972,5989,5882,5273,5811,5733,5537,5712,5880,5929,5948,5815,5906,5542,5275,5751,5902,5914,5960,5962,5300,4876,5729,4871,5456,5154,4882,4951,4839,5486,5206,4548,5191,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198,175,196,200,178,238,191,174,227,190,195,158,152,233,180,224,259,159,193])).
% 82.63/82.55 cnf(6164,plain,
% 82.63/82.55 (P3(f7(a17,a17,a3),a17,a3)),
% 82.63/82.55 inference(scs_inference,[],[142,5860,6010,6097,6105,6121,6126,6144,5958,5413,5572,5836,5765,5920,5466,5975,5064,5208,5824,5822,5872,6088,4845,5415,5680,5797,5840,5842,5870,5874,5878,5894,5972,5989,5882,5273,5811,5733,5537,5712,5880,5929,5948,5815,5906,5542,5275,5751,5902,5914,5960,5962,5300,4876,5729,4871,5456,5154,4882,4951,4839,5486,5206,4548,5191,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198,175,196,200,178,238,191,174,227,190,195,158,152,233,180,224,259,159,193,183])).
% 82.63/82.55 cnf(6167,plain,
% 82.63/82.55 (P2(f10(a2,a2,a3),a2,a2,a3)),
% 82.63/82.55 inference(scs_inference,[],[142,5860,6010,6097,6105,6121,6126,6144,5958,5413,5572,5836,5765,5920,5466,5975,5064,5208,5824,5822,5872,6088,4845,5415,5680,5797,5840,5842,5870,5874,5878,5894,5972,5989,5882,5273,5811,5733,5537,5712,5880,5929,5948,5815,5906,5542,5275,5751,5902,5914,5960,5962,5300,4876,5729,4871,5456,5154,4882,4951,4839,5486,5545,5206,4548,5191,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198,175,196,200,178,238,191,174,227,190,195,158,152,233,180,224,259,159,193,183,189])).
% 82.63/82.55 cnf(6170,plain,
% 82.63/82.55 (P5(a3,a3,a2,a2)),
% 82.63/82.55 inference(scs_inference,[],[142,5860,6010,6097,6105,6121,6126,6144,5958,5413,5572,5836,5765,5920,5466,5975,5064,5208,5824,5822,5872,6088,6151,4845,5415,5680,5797,5840,5842,5870,5874,5878,5894,5972,5989,5882,5273,5811,5733,5537,5712,5880,5929,5948,5815,5906,5542,5275,5751,5902,5914,5960,5962,5300,4876,5729,4871,5456,5154,4882,5145,4951,4839,5486,5545,5206,4548,5191,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198,175,196,200,178,238,191,174,227,190,195,158,152,233,180,224,259,159,193,183,189,248])).
% 82.63/82.55 cnf(6175,plain,
% 82.63/82.55 (P1(f27(a3,a3,a17,a3,a3,a17),a17,a3)),
% 82.63/82.55 inference(scs_inference,[],[142,5860,6010,6097,6105,6121,6126,6144,5958,5413,5572,5836,5765,5920,5466,5975,5064,5208,5824,5822,5862,5872,6088,6151,4845,5415,5680,5797,5840,5842,5870,5874,5878,5894,5950,5972,5989,5882,5273,5811,5733,5537,5712,5880,5929,5948,5815,5906,5542,5275,5751,5902,5914,5960,5962,5300,4876,5729,4871,5625,5456,5154,4882,5145,4951,4839,5486,5545,5206,4548,5191,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198,175,196,200,178,238,191,174,227,190,195,158,152,233,180,224,259,159,193,183,189,248,206,205])).
% 82.63/82.55 cnf(6178,plain,
% 82.63/82.55 (P10(a3,a3,x61781,x61781)),
% 82.63/82.55 inference(rename_variables,[],[5632])).
% 82.63/82.55 cnf(6185,plain,
% 82.63/82.55 (P10(a2,a16,a17,a17)),
% 82.63/82.55 inference(scs_inference,[],[142,5860,6010,6097,6105,6121,6126,6144,5958,5413,5572,5836,5765,5920,5466,5975,5064,5208,5824,5822,5862,5872,6088,6151,4845,5415,5680,5797,5840,5842,5870,5874,5878,5894,5950,5972,5989,5882,5273,5811,5733,5537,5712,5880,5929,5948,5815,5906,5542,5275,5751,5902,5914,5960,5962,5300,4876,5729,4871,5625,5456,5632,6178,5154,4882,5145,4951,4839,5486,5545,5206,4548,5191,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198,175,196,200,178,238,191,174,227,190,195,158,152,233,180,224,259,159,193,183,189,248,206,205,203,204,4580,4251])).
% 82.63/82.55 cnf(6187,plain,
% 82.63/82.55 (P9(a3,a3,a3,a17)),
% 82.63/82.55 inference(scs_inference,[],[142,5860,6010,6097,6105,6121,6126,6144,5958,5413,5572,5836,5765,5920,5466,5975,5064,5208,5824,5822,5862,5872,6088,6151,4845,5415,5680,5797,5840,5842,5870,5874,5878,5894,5950,5972,5989,5882,5273,5811,5733,5537,5712,5880,5929,5948,5815,5906,5542,5275,5751,5902,5914,5960,5962,5300,4876,5729,4871,5625,5456,5632,6178,5154,4882,5145,4951,4839,5486,5545,5206,4548,5191,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198,175,196,200,178,238,191,174,227,190,195,158,152,233,180,224,259,159,193,183,189,248,206,205,203,204,4580,4251,535])).
% 82.63/82.55 cnf(6191,plain,
% 82.63/82.55 (P10(a2,a2,a2,f4(a2,a2,a2))),
% 82.63/82.55 inference(scs_inference,[],[142,5860,6010,6097,6105,6121,6126,6144,5958,5413,5572,5836,5765,5920,5466,5975,5064,5208,5824,5822,5862,5872,6088,6151,4845,5415,5680,5797,5840,5842,5870,5874,5878,5894,5950,5972,5989,5882,5273,5811,5733,5537,5712,5880,5929,5948,5815,5906,5542,5275,5751,5902,5914,5960,5962,5300,4876,5729,4871,5625,5456,5632,6178,5154,4882,5145,4951,4839,5486,5545,5206,4548,5191,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198,175,196,200,178,238,191,174,227,190,195,158,152,233,180,224,259,159,193,183,189,248,206,205,203,204,4580,4251,535,4736,230])).
% 82.63/82.55 cnf(6201,plain,
% 82.63/82.55 (P1(f15(a17,a3,a3,a17),a17,a3)),
% 82.63/82.55 inference(scs_inference,[],[142,5860,6010,6097,6105,6121,6126,6144,5958,5413,5572,5836,5765,5920,5466,5462,5975,5064,5208,5824,5822,5862,5872,6088,6151,4845,5415,5680,5797,5840,5842,5870,5874,5878,5894,5950,5972,5989,5882,5273,5811,5733,5537,5712,5880,5929,5948,5815,5906,5542,5275,5751,5902,5914,5960,5962,5300,4876,5729,4871,5625,5456,5632,6178,5154,4882,5145,4951,4839,5486,5545,5206,4548,5191,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198,175,196,200,178,238,191,174,227,190,195,158,152,233,180,224,259,159,193,183,189,248,206,205,203,204,4580,4251,535,4736,230,1601,544,442,217,245])).
% 82.63/82.55 cnf(6203,plain,
% 82.63/82.55 (P1(a2,a3,f23(a3,a2,a2,a2))),
% 82.63/82.55 inference(scs_inference,[],[142,5860,6010,6097,6105,6121,6126,6144,5958,5413,5572,5836,5765,5920,5466,5462,5975,5064,5208,5824,5822,5862,5872,6088,6151,4845,5415,5680,5797,5840,5842,5870,5874,5878,5894,5950,5972,5989,5882,5273,5811,5733,5537,5712,5880,5929,5948,5815,5906,5542,5275,5751,5902,5914,5960,5962,5300,4876,5729,4871,5625,5456,5632,6178,5154,4882,5383,5145,4951,4839,5486,5545,5206,4548,5191,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198,175,196,200,178,238,191,174,227,190,195,158,152,233,180,224,259,159,193,183,189,248,206,205,203,204,4580,4251,535,4736,230,1601,544,442,217,245,243])).
% 82.63/82.55 cnf(6211,plain,
% 82.63/82.55 (P3(f7(a3,a3,a2),a2,a2)),
% 82.63/82.55 inference(scs_inference,[],[142,5860,6010,6097,6105,6121,6126,6144,5958,5413,5572,5836,5765,5920,5466,5462,5975,5064,5208,5824,5822,5862,5872,6088,6151,4845,5415,5680,5797,5840,5842,5870,5874,5878,5894,5950,5972,5989,5882,5273,5811,5733,5537,5712,5880,5929,5948,5815,5906,5542,5275,5751,5902,5914,5960,5736,5962,5300,4876,5729,4871,5625,5456,5632,6178,5154,4882,5383,5145,4951,4839,5486,5545,5206,4548,5191,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198,175,196,200,178,238,191,174,227,190,195,158,152,233,180,224,259,159,193,183,189,248,206,205,203,204,4580,4251,535,4736,230,1601,544,442,217,245,243,247,188,170,172])).
% 82.63/82.55 cnf(6213,plain,
% 82.63/82.55 (P7(a16,a1,a1,a16,a16,a1,a1,a16)),
% 82.63/82.55 inference(scs_inference,[],[142,5860,6010,6097,6105,6121,6126,6144,5958,5413,5572,5836,5765,5920,5466,5462,5975,5064,5208,5824,5822,5862,5652,5872,6088,6151,4845,5195,5415,5680,5797,5840,5842,5870,5874,5878,5894,5950,5972,5989,5882,5273,5811,5733,5537,5712,5880,5929,5948,5815,5906,5542,5275,5751,5902,5914,5960,5736,5962,5300,4876,5729,4871,5625,5456,5632,6178,5154,4882,5383,5145,4951,4839,5486,5545,5206,4548,5191,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198,175,196,200,178,238,191,174,227,190,195,158,152,233,180,224,259,159,193,183,189,248,206,205,203,204,4580,4251,535,4736,230,1601,544,442,217,245,243,247,188,170,172,225])).
% 82.63/82.55 cnf(6216,plain,
% 82.63/82.55 (P8(a2,a3,a3,a3,a3,a3,a3,a3)),
% 82.63/82.55 inference(scs_inference,[],[142,5860,6010,6097,6105,6121,6126,6144,5958,5413,5572,5836,5765,5920,5466,5462,5975,5064,5208,5824,5822,5862,5652,5872,6088,6151,4845,5195,5415,5680,5797,5840,5842,5870,5874,5878,5894,5950,5972,5989,5882,5273,5811,5733,5537,5712,5880,5929,5948,5815,5906,5542,5275,5751,5902,5914,5960,5736,5962,5300,4876,5729,4871,5625,5456,5632,6178,5154,4882,5383,5145,4951,4839,5486,5545,5206,4548,5191,350,4327,4634,1606,160,4645,1340,256,4061,149,151,255,150,1583,221,153,252,157,148,161,602,250,793,254,164,222,253,511,165,163,162,249,223,167,251,166,168,260,239,186,244,202,197,181,173,194,220,155,201,169,187,237,198,175,196,200,178,238,191,174,227,190,195,158,152,233,180,224,259,159,193,183,189,248,206,205,203,204,4580,4251,535,4736,230,1601,544,442,217,245,243,247,188,170,172,225,3061])).
% 82.63/82.55 cnf(6221,plain,
% 82.63/82.55 (P1(f6(x62211,x62211,x62212),x62212,x62211)),
% 82.63/82.55 inference(rename_variables,[],[6123])).
% 82.63/82.55 cnf(6224,plain,
% 82.63/82.55 (P1(f6(x62241,x62241,x62242),x62242,x62241)),
% 82.63/82.55 inference(rename_variables,[],[6123])).
% 82.63/82.55 cnf(6227,plain,
% 82.63/82.55 (P1(f6(x62271,x62271,x62272),x62272,x62271)),
% 82.63/82.55 inference(rename_variables,[],[6123])).
% 82.63/82.55 cnf(6230,plain,
% 82.63/82.55 (P1(f6(x62301,x62301,x62302),x62302,x62301)),
% 82.63/82.55 inference(rename_variables,[],[6123])).
% 82.63/82.55 cnf(6233,plain,
% 82.63/82.55 (P1(f6(x62331,x62331,x62332),x62332,x62331)),
% 82.63/82.55 inference(rename_variables,[],[6123])).
% 82.63/82.55 cnf(6236,plain,
% 82.63/82.55 (P1(f6(x62361,x62361,x62362),x62362,x62361)),
% 82.63/82.55 inference(rename_variables,[],[6123])).
% 82.63/82.55 cnf(6239,plain,
% 82.63/82.55 (P1(f6(x62391,x62391,x62392),x62392,x62391)),
% 82.63/82.55 inference(rename_variables,[],[6123])).
% 82.63/82.55 cnf(6242,plain,
% 82.63/82.55 (P1(f6(x62421,x62421,x62422),x62422,x62421)),
% 82.63/82.55 inference(rename_variables,[],[6123])).
% 82.63/82.55 cnf(6245,plain,
% 82.63/82.55 (P1(f6(x62451,x62451,x62452),x62452,x62451)),
% 82.63/82.55 inference(rename_variables,[],[6123])).
% 82.63/82.55 cnf(6248,plain,
% 82.63/82.55 (P1(f6(x62481,x62481,x62482),x62482,x62481)),
% 82.63/82.55 inference(rename_variables,[],[6123])).
% 82.63/82.55 cnf(6251,plain,
% 82.63/82.55 (P1(f6(x62511,x62511,x62512),x62512,x62511)),
% 82.63/82.55 inference(rename_variables,[],[6123])).
% 82.63/82.55 cnf(6253,plain,
% 82.63/82.55 (P9(a19,a19,a16,f5(a16,a16,a16))),
% 82.63/82.55 inference(scs_inference,[],[6090,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586])).
% 82.63/82.55 cnf(6254,plain,
% 82.63/82.55 (P9(x62541,f5(x62541,x62541,x62542),x62542,x62541)),
% 82.63/82.55 inference(rename_variables,[],[6090])).
% 82.63/82.55 cnf(6257,plain,
% 82.63/82.55 (P1(f6(x62571,x62571,x62572),x62572,x62571)),
% 82.63/82.55 inference(rename_variables,[],[6123])).
% 82.63/82.55 cnf(6260,plain,
% 82.63/82.55 (P1(f6(x62601,x62601,x62602),x62602,x62601)),
% 82.63/82.55 inference(rename_variables,[],[6123])).
% 82.63/82.55 cnf(6263,plain,
% 82.63/82.55 (P1(f6(x62631,x62631,x62632),x62632,x62631)),
% 82.63/82.55 inference(rename_variables,[],[6123])).
% 82.63/82.55 cnf(6266,plain,
% 82.63/82.55 (P1(f6(x62661,x62661,x62662),x62662,x62661)),
% 82.63/82.55 inference(rename_variables,[],[6123])).
% 82.63/82.55 cnf(6268,plain,
% 82.63/82.55 (P9(a17,a17,a16,f5(a16,a16,a16))),
% 82.63/82.55 inference(scs_inference,[],[6090,6254,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590])).
% 82.63/82.55 cnf(6269,plain,
% 82.63/82.55 (P9(x62691,f5(x62691,x62691,x62692),x62692,x62691)),
% 82.63/82.55 inference(rename_variables,[],[6090])).
% 82.63/82.55 cnf(6272,plain,
% 82.63/82.55 (P1(f6(x62721,x62721,x62722),x62722,x62721)),
% 82.63/82.55 inference(rename_variables,[],[6123])).
% 82.63/82.55 cnf(6275,plain,
% 82.63/82.55 (P9(x62751,f5(x62751,x62751,x62752),x62752,x62751)),
% 82.63/82.55 inference(rename_variables,[],[6090])).
% 82.63/82.55 cnf(6278,plain,
% 82.63/82.55 (P1(f6(x62781,x62781,x62782),x62782,x62781)),
% 82.63/82.55 inference(rename_variables,[],[6123])).
% 82.63/82.55 cnf(6280,plain,
% 82.63/82.55 (P10(a18,f5(a18,a18,a18),a17,a17)),
% 82.63/82.55 inference(scs_inference,[],[6090,6254,6269,6275,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251])).
% 82.63/82.55 cnf(6281,plain,
% 82.63/82.55 (P9(x62811,f5(x62811,x62811,x62812),x62812,x62811)),
% 82.63/82.55 inference(rename_variables,[],[6090])).
% 82.63/82.55 cnf(6285,plain,
% 82.63/82.55 (P1(a3,a3,a2)),
% 82.63/82.55 inference(scs_inference,[],[6045,6008,6090,6254,6269,6275,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149])).
% 82.63/82.55 cnf(6287,plain,
% 82.63/82.55 (P7(a3,a3,a3,a3,a3,a17,a3,a17)),
% 82.63/82.55 inference(scs_inference,[],[5985,6045,6008,6090,6254,6269,6275,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256])).
% 82.63/82.55 cnf(6289,plain,
% 82.63/82.55 (P8(a2,a2,a16,a16,a2,a2,a18,a18)),
% 82.63/82.55 inference(scs_inference,[],[5985,6045,6073,6008,6090,6254,6269,6275,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634])).
% 82.63/82.55 cnf(6292,plain,
% 82.63/82.55 (P1(f6(x62921,x62921,x62922),x62922,x62921)),
% 82.63/82.55 inference(rename_variables,[],[6123])).
% 82.63/82.55 cnf(6296,plain,
% 82.63/82.55 (P7(a2,a3,a2,a2,a3,a2,a2,a2)),
% 82.63/82.55 inference(scs_inference,[],[5985,5193,6045,6043,6073,6008,6090,6254,6269,6275,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255])).
% 82.63/82.55 cnf(6298,plain,
% 82.63/82.55 (P3(a1,a16,a2)),
% 82.63/82.55 inference(scs_inference,[],[5985,5193,6045,6043,6073,6160,6008,6090,6254,6269,6275,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151])).
% 82.63/82.55 cnf(6300,plain,
% 82.63/82.55 (P7(a2,a2,a2,a3,a2,a2,a2,a3)),
% 82.63/82.55 inference(scs_inference,[],[5985,5193,6029,6045,6043,6073,6160,6008,6090,6254,6269,6275,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340])).
% 82.63/82.55 cnf(6302,plain,
% 82.63/82.55 (P10(a2,a16,a16,a16)),
% 82.63/82.55 inference(scs_inference,[],[5985,5193,6029,6045,6043,6073,6160,6185,6008,6090,6254,6269,6275,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601])).
% 82.63/82.55 cnf(6304,plain,
% 82.63/82.55 (P10(a16,a16,a3,a2)),
% 82.63/82.55 inference(scs_inference,[],[5828,5985,5193,6029,6045,6043,6073,6160,6185,6008,6090,6254,6269,6275,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160])).
% 82.63/82.55 cnf(6306,plain,
% 82.63/82.55 (P10(a17,f5(a17,a3,a3),a17,a17)),
% 82.63/82.55 inference(scs_inference,[],[5828,5985,5193,6029,6045,6043,6073,6160,6185,6008,6090,6254,6269,6275,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,5887,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061])).
% 82.63/82.55 cnf(6308,plain,
% 82.63/82.55 (P10(a2,a16,a3,a3)),
% 82.63/82.55 inference(scs_inference,[],[5828,5985,5193,6029,6045,6043,6073,6160,6185,6008,6090,6254,6269,6275,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,5887,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583])).
% 82.63/82.55 cnf(6310,plain,
% 82.63/82.55 (P5(a1,a2,a1,a16)),
% 82.63/82.55 inference(scs_inference,[],[5828,5985,5193,6029,6045,6043,6073,6160,6185,6008,6090,6254,6269,6275,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,5887,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153])).
% 82.63/82.55 cnf(6312,plain,
% 82.63/82.55 (P1(f24(a3,a3,a3,a3,a17,a17),a3,a3)),
% 82.63/82.55 inference(scs_inference,[],[5828,5985,5193,6029,6045,6043,6073,6160,6185,6008,6090,6254,6269,6275,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6128,5887,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150])).
% 82.63/82.55 cnf(6316,plain,
% 82.63/82.55 (P8(a19,a19,a2,a2,a18,a18,a17,a17)),
% 82.63/82.55 inference(scs_inference,[],[5828,5434,5985,5193,6029,6045,6043,6073,6077,6160,6185,6008,6090,6254,6269,6275,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6128,5887,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252])).
% 82.63/82.55 cnf(6324,plain,
% 82.63/82.55 (P1(a3,f5(a3,a3,a3),a3)),
% 82.63/82.55 inference(scs_inference,[],[6216,5828,5434,5985,5193,6029,6045,6043,6073,6077,6160,6185,6008,6090,6254,6269,6275,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6094,6128,6037,5887,6087,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157])).
% 82.63/82.55 cnf(6328,plain,
% 82.63/82.55 (P1(a2,a17,a2)),
% 82.63/82.55 inference(scs_inference,[],[6216,5828,5434,5985,5193,6029,6045,6035,6043,6073,6077,6160,6185,6008,6090,6254,6269,6275,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6094,6128,6037,5887,6087,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148])).
% 82.63/82.55 cnf(6330,plain,
% 82.63/82.55 (P10(a2,a16,a2,a2)),
% 82.63/82.55 inference(scs_inference,[],[6216,5828,5434,5985,5193,6029,6045,6035,6043,6073,6077,6160,6185,6008,6090,6254,6269,6275,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6094,6128,6037,5887,6087,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442])).
% 82.63/82.55 cnf(6332,plain,
% 82.63/82.55 (P8(a3,a2,x63321,x63322,a16,a16,x63321,x63322)),
% 82.63/82.55 inference(scs_inference,[],[6216,5828,5434,5985,5193,6029,6045,6035,6043,6073,6077,6160,6185,6008,6090,6254,6269,6275,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6094,6128,6037,5887,6087,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222])).
% 82.63/82.55 cnf(6334,plain,
% 82.63/82.55 (P5(a16,a18,a18,a2)),
% 82.63/82.55 inference(scs_inference,[],[6216,5828,5434,5985,5193,6029,6045,6035,6043,6059,6073,6077,6160,6185,6008,6090,6254,6269,6275,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6094,6128,6037,5887,6087,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165])).
% 82.63/82.55 cnf(6338,plain,
% 82.63/82.55 (P10(a17,a17,a2,a3)),
% 82.63/82.55 inference(scs_inference,[],[6216,5828,5434,5985,5193,6029,6045,5813,6035,6043,6059,6073,6077,6160,6185,6008,6090,6254,6269,6275,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6094,6128,6037,5887,6087,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161])).
% 82.63/82.55 cnf(6347,plain,
% 82.63/82.55 (P9(x63471,f5(x63471,x63471,x63472),x63471,x63472)),
% 82.63/82.55 inference(scs_inference,[],[6216,5828,5434,5985,5193,6029,6045,5449,5813,6035,6043,6059,6073,6077,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6094,6128,6037,5887,6087,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163])).
% 82.63/82.55 cnf(6349,plain,
% 82.63/82.55 (P8(a2,a18,a18,a18,a18,a18,a2,a18)),
% 82.63/82.55 inference(scs_inference,[],[6216,5828,5434,5985,5193,6029,6045,5449,5813,6035,6043,6059,6073,6077,6154,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6094,6128,6037,5887,6087,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223])).
% 82.63/82.55 cnf(6353,plain,
% 82.63/82.55 (P4(a2,f20(a2,a2),a2,a2)),
% 82.63/82.55 inference(scs_inference,[],[6216,5828,5977,5434,5985,5193,6029,6045,5449,5813,6035,6043,6059,6073,6077,6154,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6094,6128,6150,6037,5887,6087,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167])).
% 82.63/82.55 cnf(6355,plain,
% 82.63/82.55 (P8(a3,a2,a3,a3,a3,a3,a3,a3)),
% 82.63/82.55 inference(scs_inference,[],[6216,5828,5977,5434,5985,5193,6029,6045,5449,5813,6035,6043,6059,6073,6077,6154,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6094,6128,6150,6037,5887,6087,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251])).
% 82.63/82.55 cnf(6357,plain,
% 82.63/82.55 (P4(a17,a3,a3,a3)),
% 82.63/82.55 inference(scs_inference,[],[6216,5828,5977,5434,5985,5193,6029,6045,5449,5813,6035,6043,6059,6073,6077,6154,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6094,6128,6150,6037,5887,6087,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251,166])).
% 82.63/82.55 cnf(6359,plain,
% 82.63/82.55 (P4(a2,a2,a2,f22(a2,a2,a2,a2))),
% 82.63/82.55 inference(scs_inference,[],[6216,5828,5977,5434,5985,5193,6029,6045,5449,5813,6035,6043,6059,6073,6077,6154,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6094,6128,5692,6150,6037,5887,6087,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251,166,168])).
% 82.63/82.55 cnf(6362,plain,
% 82.63/82.55 (P9(x63621,x63622,x63621,x63622)),
% 82.63/82.55 inference(rename_variables,[],[5860])).
% 82.63/82.55 cnf(6367,plain,
% 82.63/82.55 (P9(x63671,x63672,x63672,x63671)),
% 82.63/82.55 inference(rename_variables,[],[5729])).
% 82.63/82.55 cnf(6369,plain,
% 82.63/82.55 (P9(a18,f5(a18,a3,a3),a3,a3)),
% 82.63/82.55 inference(scs_inference,[],[6216,4851,5828,5977,5434,5985,5193,6029,6045,5449,5813,6035,6043,6059,6073,6077,6154,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6094,6128,5692,6150,6037,5887,6087,5860,5729,6367,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251,166,168,245,181,185,186])).
% 82.63/82.55 cnf(6370,plain,
% 82.63/82.55 (P9(x63701,x63702,x63702,x63701)),
% 82.63/82.55 inference(rename_variables,[],[5729])).
% 82.63/82.55 cnf(6372,plain,
% 82.63/82.55 (P1(f15(a17,a3,a3,a17),a3,a17)),
% 82.63/82.55 inference(scs_inference,[],[6216,4851,5828,5977,5434,5985,6187,5193,6029,6045,5449,5813,6035,6043,6059,6073,6077,6154,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6094,6128,5692,6150,6037,5887,6087,5860,5729,6367,4845,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251,166,168,245,181,185,186,244])).
% 82.63/82.55 cnf(6374,plain,
% 82.63/82.55 (P1(f13(a3,a17,a3,a2,a2),a2,a2)),
% 82.63/82.55 inference(scs_inference,[],[6216,4851,5828,5977,5434,5985,6187,5193,6029,6045,5449,5813,6035,6043,6059,6073,6077,6154,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6094,6128,5692,6150,6037,5887,6087,5860,5729,6367,4845,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251,166,168,245,181,185,186,244,194])).
% 82.63/82.55 cnf(6387,plain,
% 82.63/82.55 (P9(x63871,x63872,x63871,x63872)),
% 82.63/82.55 inference(rename_variables,[],[5860])).
% 82.63/82.55 cnf(6390,plain,
% 82.63/82.55 (P9(x63901,x63902,x63902,x63901)),
% 82.63/82.55 inference(rename_variables,[],[5729])).
% 82.63/82.55 cnf(6392,plain,
% 82.63/82.55 (P10(a16,a2,a18,a18)),
% 82.63/82.55 inference(scs_inference,[],[6216,4851,5828,5977,5434,5985,6187,5193,6029,6045,5492,5449,5813,6035,6043,6059,6073,6077,6154,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6094,6128,5692,6150,6037,5887,6087,5478,5860,6362,5729,6367,6370,4845,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251,166,168,245,181,185,186,244,194,202,243,201,247,220,197,173,237])).
% 82.63/82.55 cnf(6396,plain,
% 82.63/82.55 (P9(x63961,x63962,x63961,x63962)),
% 82.63/82.55 inference(rename_variables,[],[5860])).
% 82.63/82.55 cnf(6398,plain,
% 82.63/82.55 (P2(f9(a3,a3,a17),a3,a3,a17)),
% 82.63/82.55 inference(scs_inference,[],[6216,4851,5828,5977,5434,5985,6187,5193,6029,6045,5492,5449,5813,6035,6043,6059,6073,6077,6154,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6094,6128,5692,6150,6037,5887,6087,5478,5860,6362,6387,5878,5729,6367,6370,6390,4845,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251,166,168,245,181,185,186,244,194,202,243,201,247,220,197,173,237,198,188])).
% 82.63/82.55 cnf(6399,plain,
% 82.63/82.55 (P9(x63991,x63992,x63992,x63991)),
% 82.63/82.55 inference(rename_variables,[],[5729])).
% 82.63/82.55 cnf(6401,plain,
% 82.63/82.55 (P4(f4(a2,a2,a2),f4(a2,a2,a2),f4(a2,a2,a2),f4(a2,a2,a2))),
% 82.63/82.55 inference(scs_inference,[],[6216,4851,5828,5977,5434,5985,6187,5193,6029,6045,5492,5449,5813,6035,6043,6059,6073,6077,6154,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6094,6162,6128,5692,6150,6037,5887,6087,5478,5860,6362,6387,5878,5729,6367,6370,6390,4845,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251,166,168,245,181,185,186,244,194,202,243,201,247,220,197,173,237,198,188,182])).
% 82.63/82.55 cnf(6403,plain,
% 82.63/82.55 (P9(a18,f6(a3,a18,a3),a3,a3)),
% 82.63/82.55 inference(scs_inference,[],[6216,4851,5828,5977,5434,5985,6187,5193,6029,6045,5492,5449,5813,6035,6043,6059,6073,6077,6154,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6094,6162,6128,5692,6150,6037,5887,6087,5478,5860,6362,6387,5878,5729,6367,6370,6390,6399,4845,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251,166,168,245,181,185,186,244,194,202,243,201,247,220,197,173,237,198,188,182,187])).
% 82.63/82.55 cnf(6404,plain,
% 82.63/82.55 (P9(x64041,x64042,x64042,x64041)),
% 82.63/82.55 inference(rename_variables,[],[5729])).
% 82.63/82.55 cnf(6408,plain,
% 82.63/82.55 (P3(f24(a2,a16,a2,a16,a1,a1),a2,a16)),
% 82.63/82.55 inference(scs_inference,[],[6216,4851,5828,5977,5434,5985,6187,5193,6029,6045,5492,5449,5813,6035,6043,6059,6073,6077,6154,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6094,6162,6128,5692,6150,6037,5887,6087,5478,5860,6362,6387,5878,5729,6367,6370,6390,6399,4845,5332,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251,166,168,245,181,185,186,244,194,202,243,201,247,220,197,173,237,198,188,182,187,170,200])).
% 82.63/82.55 cnf(6411,plain,
% 82.63/82.55 (P9(x64111,x64112,x64112,x64111)),
% 82.63/82.55 inference(rename_variables,[],[5729])).
% 82.63/82.55 cnf(6416,plain,
% 82.63/82.55 (P9(x64161,x64162,x64162,x64161)),
% 82.63/82.55 inference(rename_variables,[],[5729])).
% 82.63/82.55 cnf(6418,plain,
% 82.63/82.55 (P9(a2,a3,a3,a3)),
% 82.63/82.55 inference(scs_inference,[],[6216,4851,5428,5828,5977,5434,5985,6187,5193,6029,6045,5492,5449,5813,6035,6043,6059,6073,6077,6154,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6094,6162,6128,5692,6150,6037,5887,6087,5478,5860,6362,6387,6396,5878,5729,6367,6370,6390,6399,6404,6411,4845,5332,862,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251,166,168,245,181,185,186,244,194,202,243,201,247,220,197,173,237,198,188,182,187,170,200,196,191,175,238])).
% 82.63/82.55 cnf(6419,plain,
% 82.63/82.55 (P9(x64191,x64192,x64191,x64192)),
% 82.63/82.55 inference(rename_variables,[],[5860])).
% 82.63/82.55 cnf(6421,plain,
% 82.63/82.55 (P9(a16,a2,a18,a18)),
% 82.63/82.55 inference(scs_inference,[],[6216,4851,5428,5828,5977,5434,5985,6187,5193,6029,6045,5492,5449,5813,6035,6043,6059,6073,6077,6154,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6094,6162,6128,5692,6150,6037,5887,6087,5478,5860,6362,6387,6396,5878,5729,6367,6370,6390,6399,6404,6411,4845,5332,862,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251,166,168,245,181,185,186,244,194,202,243,201,247,220,197,173,237,198,188,182,187,170,200,196,191,175,238,178])).
% 82.63/82.55 cnf(6428,plain,
% 82.63/82.55 (P9(f13(a3,a17,a3,a2,a2),a3,a2,a2)),
% 82.63/82.55 inference(scs_inference,[],[6216,4851,5428,5828,5977,5434,5985,6187,5193,6029,6045,5492,5449,5813,6035,6043,6059,6073,6077,6154,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6094,6162,6128,5692,6150,6037,5887,6087,5478,5860,6362,6387,6396,5878,5729,6367,6370,6390,6399,6404,6411,6416,4845,5332,862,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251,166,168,245,181,185,186,244,194,202,243,201,247,220,197,173,237,198,188,182,187,170,200,196,191,175,238,178,174,190,195])).
% 82.63/82.55 cnf(6430,plain,
% 82.63/82.55 (P4(a2,a2,a17,a2)),
% 82.63/82.55 inference(scs_inference,[],[6216,4851,5428,5828,5977,5434,5985,6187,5193,6029,6045,5492,5449,5813,6035,6043,6059,6073,6077,6154,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6094,6162,6128,5692,6150,6037,5887,6087,5478,5860,6362,6387,6396,5872,5878,5729,6367,6370,6390,6399,6404,6411,6416,4845,5332,862,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251,166,168,245,181,185,186,244,194,202,243,201,247,220,197,173,237,198,188,182,187,170,200,196,191,175,238,178,174,190,195,233])).
% 82.63/82.55 cnf(6431,plain,
% 82.63/82.55 (P8(x64311,x64312,x64311,x64312,a2,a2,a2,a2)),
% 82.63/82.55 inference(rename_variables,[],[5872])).
% 82.63/82.55 cnf(6435,plain,
% 82.63/82.55 (P3(f5(a3,a3,a3),a3,a3)),
% 82.63/82.55 inference(scs_inference,[],[6216,4851,5428,5828,5977,5434,5985,6187,5193,6029,6045,5492,5449,5813,6035,6043,6059,6073,6077,6154,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6137,6094,6162,6128,5692,6150,6037,5887,5908,6087,5478,5860,6362,6387,6396,5872,5878,5729,6367,6370,6390,6399,6404,6411,6416,4845,5332,4999,862,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251,166,168,245,181,185,186,244,194,202,243,201,247,220,197,173,237,198,188,182,187,170,200,196,191,175,238,178,174,190,195,233,224,159])).
% 82.63/82.55 cnf(6438,plain,
% 82.63/82.55 (P4(a18,a18,a18,a18)),
% 82.63/82.55 inference(scs_inference,[],[6216,4851,5428,5828,5977,5434,5985,6187,5193,6029,6045,5492,5449,5813,6035,6043,6059,6073,6077,6154,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6137,6094,6162,6128,5692,6150,6037,5887,5908,6087,5478,5860,6362,6387,6396,5872,5878,5729,6367,6370,6390,6399,6404,6411,6416,4845,5332,4999,862,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251,166,168,245,181,185,186,244,194,202,243,201,247,220,197,173,237,198,188,182,187,170,200,196,191,175,238,178,174,190,195,233,224,159,193])).
% 82.63/82.55 cnf(6441,plain,
% 82.63/82.55 (P9(x64411,x64412,x64411,x64412)),
% 82.63/82.55 inference(rename_variables,[],[5860])).
% 82.63/82.55 cnf(6443,plain,
% 82.63/82.55 (P2(f10(a2,a16,a2),a2,a16,a2)),
% 82.63/82.55 inference(scs_inference,[],[6216,4851,5428,5828,5977,5434,5985,6187,5193,5092,6029,6045,5492,5449,5813,5939,6035,6043,6059,6073,6077,6154,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6137,6094,6162,6128,5692,6150,6037,6211,5887,5908,6087,5478,5860,6362,6387,6396,6419,5872,5878,5729,6367,6370,6390,6399,6404,6411,6416,4845,5332,4999,862,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251,166,168,245,181,185,186,244,194,202,243,201,247,220,197,173,237,198,188,182,187,170,200,196,191,175,238,178,174,190,195,233,224,159,193,183,189])).
% 82.63/82.55 cnf(6445,plain,
% 82.63/82.55 (P1(f27(a2,a3,a3,a3,a17,a17),a2,a3)),
% 82.63/82.55 inference(scs_inference,[],[6216,4851,5428,5828,5977,5434,5985,5650,6187,5193,5092,6029,6045,5492,5449,5813,5939,6035,6043,6059,6073,6077,6154,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6137,6094,6162,6128,5692,6150,6037,6211,5887,5908,6087,5478,5860,6362,6387,6396,6419,5872,5878,5729,6367,6370,6390,6399,6404,6411,6416,4845,5568,5822,5332,5005,4999,862,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251,166,168,245,181,185,186,244,194,202,243,201,247,220,197,173,237,198,188,182,187,170,200,196,191,175,238,178,174,190,195,233,224,159,193,183,189,206])).
% 82.63/82.55 cnf(6447,plain,
% 82.63/82.55 (P5(a3,a3,a3,a17)),
% 82.63/82.55 inference(scs_inference,[],[6216,4851,5428,5828,5977,5434,5985,5650,6187,5193,5092,6029,6045,5492,5449,5813,5939,6035,6043,6059,6073,6077,6154,6156,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6137,6094,6162,6128,5692,6150,6037,6211,5887,5908,6087,5478,5860,6362,6387,6396,6419,5743,5872,5878,5729,6367,6370,6390,6399,6404,6411,6416,4845,5568,4983,5822,5332,5005,4999,867,862,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251,166,168,245,181,185,186,244,194,202,243,201,247,220,197,173,237,198,188,182,187,170,200,196,191,175,238,178,174,190,195,233,224,159,193,183,189,206,248])).
% 82.63/82.55 cnf(6455,plain,
% 82.63/82.55 (P10(a16,a2,a16,a16)),
% 82.63/82.55 inference(scs_inference,[],[6216,4851,5428,5828,5977,5434,5985,5650,6187,5193,5092,6029,6045,5492,5449,5813,5939,6019,6035,6043,6059,6073,6077,6154,6156,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6137,6094,6162,6128,5692,6150,6037,6211,5887,5908,6087,5478,5860,6362,6387,6396,6419,5743,5872,5878,5729,6367,6370,6390,6399,6404,6411,6416,4845,5568,4983,5068,5237,5822,5332,5005,4999,867,862,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251,166,168,245,181,185,186,244,194,202,243,201,247,220,197,173,237,198,188,182,187,170,200,196,191,175,238,178,174,190,195,233,224,159,193,183,189,206,248,205,203,204,3064])).
% 82.63/82.55 cnf(6457,plain,
% 82.63/82.55 (P10(a3,a3,a2,a3)),
% 82.63/82.55 inference(scs_inference,[],[6216,4851,5428,5828,5977,5434,5985,5650,6187,5193,5092,6029,6045,5492,5449,5813,5939,6019,6035,6043,6059,6073,6077,6154,6156,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6137,6094,6162,6128,5692,6150,6037,6211,5887,5908,6087,5478,5860,6362,6387,6396,6419,5743,5872,5878,5729,6367,6370,6390,6399,6404,6411,6416,4845,5568,4983,5068,5237,5822,5332,5005,4999,867,862,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251,166,168,245,181,185,186,244,194,202,243,201,247,220,197,173,237,198,188,182,187,170,200,196,191,175,238,178,174,190,195,233,224,159,193,183,189,206,248,205,203,204,3064,230])).
% 82.63/82.55 cnf(6459,plain,
% 82.63/82.55 (P10(a16,a2,a2,a2)),
% 82.63/82.55 inference(scs_inference,[],[6216,4851,5428,5828,5977,5434,5985,5650,6187,5193,5092,6029,6045,5492,5449,5813,5939,6019,6035,6043,6059,6073,6077,6154,6156,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6137,6094,6162,6128,5692,6150,6037,6211,5887,5908,6087,5478,5860,6362,6387,6396,6419,5743,5872,5878,5729,6367,6370,6390,6399,6404,6411,6416,4845,5568,4983,5068,5237,5822,5332,5005,4999,867,862,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251,166,168,245,181,185,186,244,194,202,243,201,247,220,197,173,237,198,188,182,187,170,200,196,191,175,238,178,174,190,195,233,224,159,193,183,189,206,248,205,203,204,3064,230,476])).
% 82.63/82.55 cnf(6468,plain,
% 82.63/82.55 (P9(a2,a16,a2,a3)),
% 82.63/82.55 inference(scs_inference,[],[6216,4851,5428,5828,5977,5434,5985,5650,6187,5193,5092,6029,6045,5492,5449,5813,5939,6019,6035,6043,6059,6073,6077,6154,6156,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6137,6094,6162,6128,5692,6150,6037,6211,5887,5908,6087,5478,5860,6362,6387,6396,6419,5743,5872,6431,5878,5729,6367,6370,6390,6399,6404,6411,6416,4845,5568,4983,5068,5237,5822,5332,5005,4999,867,862,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251,166,168,245,181,185,186,244,194,202,243,201,247,220,197,173,237,198,188,182,187,170,200,196,191,175,238,178,174,190,195,233,224,159,193,183,189,206,248,205,203,204,3064,230,476,3059,184,231,179])).
% 82.63/82.55 cnf(6472,plain,
% 82.63/82.55 (P10(a17,a17,a3,a17)),
% 82.63/82.55 inference(scs_inference,[],[6216,4851,5428,5828,5977,5991,5434,5985,5650,6187,5193,5092,6029,6045,5492,5449,5813,5939,6019,6035,6043,6059,6073,6077,6154,6156,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6137,6094,6162,6128,5846,5692,6150,6037,6211,5887,5908,6087,5478,5860,6362,6387,6396,6419,6441,5743,5872,6431,5878,5729,6367,6370,6390,6399,6404,6411,6416,4845,5568,4983,5068,5237,5822,5332,5005,4999,867,862,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251,166,168,245,181,185,186,244,194,202,243,201,247,220,197,173,237,198,188,182,187,170,200,196,191,175,238,178,174,190,195,233,224,159,193,183,189,206,248,205,203,204,3064,230,476,3059,184,231,179,176,177])).
% 82.63/82.55 cnf(6475,plain,
% 82.63/82.55 (P3(f7(a3,a3,a2),a3,a3)),
% 82.63/82.55 inference(scs_inference,[],[6216,4851,5428,5828,5977,5991,5434,5985,5650,6187,5193,5092,6029,6045,5492,5449,5813,5939,6019,6035,6043,6059,6073,6077,6154,6156,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6137,6094,6162,6128,5846,5692,6150,6037,6031,6211,5887,5908,6087,5478,5860,6362,6387,6396,6419,6441,5743,5872,6431,5878,5729,6367,6370,6390,6399,6404,6411,6416,4845,5568,4983,5068,5237,5822,5332,5005,4999,867,862,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251,166,168,245,181,185,186,244,194,202,243,201,247,220,197,173,237,198,188,182,187,170,200,196,191,175,238,178,174,190,195,233,224,159,193,183,189,206,248,205,203,204,3064,230,476,3059,184,231,179,176,177,172])).
% 82.63/82.55 cnf(6477,plain,
% 82.63/82.55 (P7(a3,a2,a2,a3,a3,a2,a2,a3)),
% 82.63/82.55 inference(scs_inference,[],[6216,4851,5428,5828,5977,5991,5434,5985,5650,6187,5193,5092,6029,6045,5492,5449,5813,5939,6019,6035,6043,6059,6073,6077,6154,6156,6160,6170,6185,6008,6090,6254,6269,6275,6281,6123,6221,6224,6227,6230,6233,6236,6239,6242,6245,6248,6251,6257,6260,6263,6266,6272,6278,6292,6137,6094,6162,6128,5846,5692,6150,6037,6031,6211,5887,5908,6087,5478,5860,6362,6387,6396,6419,6441,5743,5872,6431,5878,5729,6367,6370,6390,6399,6404,6411,6416,4845,5568,4983,5068,5237,5822,5545,5332,5005,4999,867,862,789,801,805,1609,3053,4331,4338,4342,4805,4808,4334,586,797,3038,1347,1343,1590,781,350,785,4251,4327,149,256,4634,1606,4645,255,151,1340,1601,160,4061,1583,153,150,221,252,602,250,511,157,254,148,442,222,165,249,161,253,793,164,163,223,162,167,251,166,168,245,181,185,186,244,194,202,243,201,247,220,197,173,237,198,188,182,187,170,200,196,191,175,238,178,174,190,195,233,224,159,193,183,189,206,248,205,203,204,3064,230,476,3059,184,231,179,176,177,172,225])).
% 82.63/82.55 cnf(6484,plain,
% 82.63/82.55 (P1(f5(x64841,x64841,x64842),x64842,x64841)),
% 82.63/82.55 inference(rename_variables,[],[6137])).
% 82.63/82.55 cnf(6487,plain,
% 82.63/82.55 (P1(f5(x64871,x64871,x64872),x64872,x64871)),
% 82.63/82.55 inference(rename_variables,[],[6137])).
% 82.63/82.55 cnf(6490,plain,
% 82.63/82.55 (P1(f5(x64901,x64901,x64902),x64902,x64901)),
% 82.63/82.55 inference(rename_variables,[],[6137])).
% 82.63/82.55 cnf(6493,plain,
% 82.63/82.55 (P1(f5(x64931,x64931,x64932),x64932,x64931)),
% 82.63/82.55 inference(rename_variables,[],[6137])).
% 82.63/82.55 cnf(6496,plain,
% 82.63/82.55 (P1(f5(x64961,x64961,x64962),x64962,x64961)),
% 82.63/82.55 inference(rename_variables,[],[6137])).
% 82.63/82.55 cnf(6499,plain,
% 82.63/82.55 (P1(f5(x64991,x64991,x64992),x64992,x64991)),
% 82.63/82.55 inference(rename_variables,[],[6137])).
% 82.63/82.55 cnf(6502,plain,
% 82.63/82.55 (P1(f5(x65021,x65021,x65022),x65022,x65021)),
% 82.63/82.55 inference(rename_variables,[],[6137])).
% 82.63/82.55 cnf(6505,plain,
% 82.63/82.55 (P9(x65051,f6(x65051,x65051,x65052),x65052,x65051)),
% 82.63/82.55 inference(rename_variables,[],[6115])).
% 82.63/82.55 cnf(6508,plain,
% 82.63/82.55 (P1(f5(x65081,x65081,x65082),x65082,x65081)),
% 82.63/82.55 inference(rename_variables,[],[6137])).
% 82.63/82.55 cnf(6511,plain,
% 82.63/82.55 (P1(f5(x65111,x65111,x65112),x65112,x65111)),
% 82.63/82.55 inference(rename_variables,[],[6137])).
% 82.63/82.55 cnf(6514,plain,
% 82.63/82.55 (P1(f5(x65141,x65141,x65142),x65142,x65141)),
% 82.63/82.55 inference(rename_variables,[],[6137])).
% 82.63/82.55 cnf(6517,plain,
% 82.63/82.55 (P1(f5(x65171,x65171,x65172),x65172,x65171)),
% 82.63/82.55 inference(rename_variables,[],[6137])).
% 82.63/82.55 cnf(6520,plain,
% 82.63/82.55 (P1(f5(x65201,x65201,x65202),x65202,x65201)),
% 82.63/82.55 inference(rename_variables,[],[6137])).
% 82.63/82.55 cnf(6523,plain,
% 82.63/82.55 (P1(f5(x65231,x65231,x65232),x65232,x65231)),
% 82.63/82.55 inference(rename_variables,[],[6137])).
% 82.63/82.55 cnf(6526,plain,
% 82.63/82.55 (P1(f5(x65261,x65261,x65262),x65262,x65261)),
% 82.63/82.55 inference(rename_variables,[],[6137])).
% 82.63/82.55 cnf(6529,plain,
% 82.63/82.55 (P1(f5(x65291,x65291,x65292),x65292,x65291)),
% 82.63/82.55 inference(rename_variables,[],[6137])).
% 82.63/82.55 cnf(6531,plain,
% 82.63/82.55 (P9(a17,a17,a16,f6(a16,a16,a16))),
% 82.63/82.55 inference(scs_inference,[],[6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590])).
% 82.63/82.55 cnf(6537,plain,
% 82.63/82.55 (P10(a16,a2,a17,a17)),
% 82.63/82.55 inference(scs_inference,[],[6421,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251])).
% 82.63/82.55 cnf(6544,plain,
% 82.63/82.55 (P7(a2,a17,a17,a2,a2,a17,a17,a2)),
% 82.63/82.55 inference(scs_inference,[],[6328,6421,6347,6372,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785])).
% 82.63/82.55 cnf(6546,plain,
% 82.63/82.55 (P7(a2,a3,a2,a3,a3,a2,a2,a3)),
% 82.63/82.55 inference(scs_inference,[],[6477,6328,6421,6347,6372,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255])).
% 82.63/82.55 cnf(6550,plain,
% 82.63/82.55 (P7(a3,a2,a3,a2,a2,a3,a2,a3)),
% 82.63/82.55 inference(scs_inference,[],[5722,6477,6328,6421,6347,6372,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256])).
% 82.63/82.55 cnf(6552,plain,
% 82.63/82.55 (P3(f24(a2,a16,a2,a16,a1,a1),a16,a2)),
% 82.63/82.55 inference(scs_inference,[],[5722,6477,6328,6421,6347,6408,6372,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151])).
% 82.63/82.55 cnf(6556,plain,
% 82.63/82.55 (P10(a17,f6(a3,a17,a3),a17,a17)),
% 82.63/82.55 inference(scs_inference,[],[5722,6477,6328,6421,6347,6408,6372,5917,6092,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061])).
% 82.63/82.55 cnf(6564,plain,
% 82.63/82.55 (P1(a2,a2,a17)),
% 82.63/82.55 inference(scs_inference,[],[5722,6477,6328,6316,6421,6347,5826,6408,6372,5454,5917,6092,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149])).
% 82.63/82.55 cnf(6570,plain,
% 82.63/82.55 (P5(a1,a16,a1,a2)),
% 82.63/82.55 inference(scs_inference,[],[5722,6477,6328,6298,6316,6421,6347,5826,6408,6372,5454,6306,6445,5917,6092,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153])).
% 82.63/82.55 cnf(6572,plain,
% 82.63/82.55 (P8(a18,a18,a2,a2,a18,a18,a17,a17)),
% 82.63/82.55 inference(scs_inference,[],[5417,5722,6477,6328,6298,6316,6421,6347,5826,6408,6372,5454,6306,6445,5917,6092,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252])).
% 82.63/82.55 cnf(6578,plain,
% 82.63/82.55 (P9(a18,a18,f13(a3,a17,a3,a2,a2),a3)),
% 82.63/82.55 inference(scs_inference,[],[5417,5722,6477,6328,6298,6316,6421,6347,5826,6312,6408,6372,5454,6428,6306,6445,5917,6092,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511])).
% 82.63/82.55 cnf(6582,plain,
% 82.63/82.55 (P10(a18,a18,a2,a3)),
% 82.63/82.55 inference(scs_inference,[],[5417,5722,6477,6357,6328,5955,6298,6316,6421,6347,5826,6312,6408,6372,5454,6428,6306,6445,5917,6092,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161])).
% 82.63/82.55 cnf(6586,plain,
% 82.63/82.55 (P8(a2,a2,a17,a17,a18,a18,a18,a18)),
% 82.63/82.55 inference(scs_inference,[],[5417,5722,6477,6357,6328,5955,6298,6316,6421,6347,5826,6312,6408,6372,5454,6428,6306,6445,5917,6092,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249])).
% 82.63/82.55 cnf(6588,plain,
% 82.63/82.55 (P7(a19,a3,a3,a16,a3,a19,a3,a16)),
% 82.63/82.55 inference(scs_inference,[],[5417,5722,6477,6357,6328,5615,5955,6298,6316,6421,6347,5826,6312,6408,6372,5454,6428,6306,6445,5917,6092,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253])).
% 82.63/82.55 cnf(6590,plain,
% 82.63/82.55 (P5(a1,a2,a16,a1)),
% 82.63/82.55 inference(scs_inference,[],[5417,5722,6477,6310,6357,6328,5615,5955,6298,6316,6421,6347,5826,6312,6408,6372,5454,6428,6306,6445,5917,6092,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165])).
% 82.63/82.55 cnf(6592,plain,
% 82.63/82.55 (P1(a16,a2,a16)),
% 82.63/82.55 inference(scs_inference,[],[5417,5722,6477,6455,6310,6357,6328,5615,5955,6298,6316,6421,6347,5826,6312,6408,6372,5454,6428,6306,6445,5917,6092,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157])).
% 82.63/82.55 cnf(6596,plain,
% 82.63/82.55 (P9(a2,a16,a3,a2)),
% 82.63/82.55 inference(scs_inference,[],[5417,5722,6477,6455,6310,6357,6328,5615,5955,6298,6316,6334,6421,6468,6347,5826,6312,6408,6372,5454,6428,6306,6445,5917,6092,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163])).
% 82.63/82.55 cnf(6600,plain,
% 82.63/82.55 (P4(a2,a17,a2,a2)),
% 82.63/82.55 inference(scs_inference,[],[5417,5722,6477,6455,5441,6310,6357,6328,5615,5955,6298,6316,6334,6421,6430,6468,6347,5826,6312,6408,6372,5454,6428,6306,6445,5917,6092,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167])).
% 82.63/82.55 cnf(6606,plain,
% 82.63/82.55 (P7(a3,a3,a3,a2,a3,a3,a3,a2)),
% 82.63/82.55 inference(scs_inference,[],[5979,5417,5722,6477,6285,6455,5441,6310,6357,6328,5615,5955,6298,6316,6334,6421,6430,6468,6347,5826,6312,6408,6372,5454,6428,6306,6445,5917,6092,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793])).
% 82.63/82.55 cnf(6608,plain,
% 82.63/82.55 (P8(a1,a2,a2,a16,a2,a16,a1,a16)),
% 82.63/82.55 inference(scs_inference,[],[5979,5417,5722,6477,6285,6455,5441,6310,6357,6328,5615,5955,6298,6316,6334,6421,6430,6468,6347,5826,6312,6408,6372,5454,6428,6306,6445,5917,6092,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223])).
% 82.63/82.55 cnf(6610,plain,
% 82.63/82.55 (P8(a2,a3,x66101,x66102,a16,a16,x66101,x66102)),
% 82.63/82.55 inference(scs_inference,[],[5979,5417,5722,6477,6285,6455,5441,6310,6357,6328,6332,5615,5955,6298,6316,6334,6421,6430,6468,6347,5826,6312,6408,6372,5454,6428,6306,6445,5917,6092,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223,251])).
% 82.63/82.55 cnf(6614,plain,
% 82.63/82.55 (P4(a2,a2,a2,a17)),
% 82.63/82.55 inference(scs_inference,[],[5979,5417,5722,6477,6285,6455,5441,6310,6357,6328,6332,5615,5955,6298,6316,6334,6421,6430,6468,6347,5826,6312,6408,6372,6353,5454,6428,6306,6445,5917,6092,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223,251,166,168])).
% 82.63/82.55 cnf(6616,plain,
% 82.63/82.55 (P1(f15(a2,a2,a2,a3),a2,a2)),
% 82.63/82.55 inference(scs_inference,[],[5979,5417,5722,6477,6285,6455,5441,6310,6357,6328,6332,5615,5955,6139,6298,6316,6334,6421,6430,6468,6347,5826,6312,6408,6372,6353,5454,6428,6306,6445,5917,6092,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,5860,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223,251,166,168,245])).
% 82.63/82.56 cnf(6617,plain,
% 82.63/82.56 (P9(x66171,x66172,x66171,x66172)),
% 82.63/82.56 inference(rename_variables,[],[5860])).
% 82.63/82.56 cnf(6619,plain,
% 82.63/82.56 (P1(f15(a2,a2,a2,a3),a2,a3)),
% 82.63/82.56 inference(scs_inference,[],[5979,5417,5722,6477,6285,6455,5441,6310,6357,6328,6332,5615,5955,6139,6298,6316,6334,6421,6430,6468,6347,5826,6312,6408,6372,6353,5454,6428,6306,6445,5917,6092,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,5860,6617,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223,251,166,168,245,244])).
% 82.63/82.56 cnf(6620,plain,
% 82.63/82.56 (P9(x66201,x66202,x66201,x66202)),
% 82.63/82.56 inference(rename_variables,[],[5860])).
% 82.63/82.56 cnf(6622,plain,
% 82.63/82.56 (P1(f13(a2,a3,a3,a3,a2),a3,a2)),
% 82.63/82.56 inference(scs_inference,[],[5979,5417,5722,6477,6285,6455,5441,6310,6357,6418,6328,6332,5615,5955,6139,6298,6316,6334,6421,6430,6468,6347,5826,6312,6408,6372,6353,5454,6428,6306,6445,5917,6092,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,5860,6617,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223,251,166,168,245,244,194])).
% 82.63/82.56 cnf(6624,plain,
% 82.63/82.56 (P5(a3,a3,a3,f4(a3,a17,a3))),
% 82.63/82.56 inference(scs_inference,[],[5979,5417,5722,6477,6285,6455,5441,6310,6357,6418,6328,6332,5615,5955,6139,6298,6316,6334,6421,6430,6447,6468,6347,5826,6312,6408,6372,6353,5454,6428,6306,6445,5917,6092,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,5860,6617,6187,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223,251,166,168,245,244,194,185])).
% 82.63/82.56 cnf(6626,plain,
% 82.63/82.56 (P2(a1,a2,a16,a16)),
% 82.63/82.56 inference(scs_inference,[],[5979,5417,5722,6477,6285,6455,5441,6310,6357,6418,6328,6332,5615,5955,6139,6298,6316,6334,6421,6430,6447,6468,6347,5826,6312,6408,6372,6353,5454,6428,6306,6445,5917,6092,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,5860,6617,6187,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223,251,166,168,245,244,194,185,181])).
% 82.63/82.56 cnf(6629,plain,
% 82.63/82.56 (P9(x66291,x66292,x66291,x66292)),
% 82.63/82.56 inference(rename_variables,[],[5860])).
% 82.63/82.56 cnf(6639,plain,
% 82.63/82.56 (P1(a3,a3,f4(a3,a17,a3))),
% 82.63/82.56 inference(scs_inference,[],[5979,5417,5722,6477,6285,6455,5441,6310,6357,6418,6328,6332,5615,5955,6139,6298,6316,6334,6421,6430,6447,6468,6347,5826,6312,6408,6372,6353,5454,6428,6306,6445,5917,6092,6115,6505,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,5860,6617,6620,5478,6187,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223,251,166,168,245,244,194,185,181,197,202,186,220,201,173])).
% 82.63/82.56 cnf(6646,plain,
% 82.63/82.56 (P2(f9(a2,a3,a3),a2,a3,a3)),
% 82.63/82.56 inference(scs_inference,[],[5979,5417,5722,6302,6477,6285,6455,5441,6310,6357,6418,6328,6332,5615,5955,6139,6298,6316,6334,6421,6430,6447,6468,6347,5826,6312,6408,6372,6353,5454,6428,6306,6445,5917,6092,6115,6505,5070,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,5860,6617,6620,5496,5478,6187,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223,251,166,168,245,244,194,185,181,197,202,186,220,201,173,237,187,188])).
% 82.63/82.56 cnf(6653,plain,
% 82.63/82.56 (P9(a16,a2,a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[5979,5417,5722,6302,6477,6285,6455,5441,6310,6357,6418,6328,6332,5615,5955,6130,6139,6298,6316,6334,6421,6430,6447,6468,6347,5826,6312,6408,6372,6353,5454,6428,6306,6445,5917,6092,6115,6505,5070,5488,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4933,5860,6617,6620,6629,5496,5478,6187,5332,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223,251,166,168,245,244,194,185,181,197,202,186,220,201,173,237,187,188,198,170,238])).
% 82.63/82.56 cnf(6658,plain,
% 82.63/82.56 (P5(a2,a3,a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[5979,5417,5722,6302,6477,6285,6455,5441,6310,6357,6418,6328,6332,5615,5955,6130,6139,6296,6298,6316,6334,6421,6430,6447,6468,6347,5826,6312,6408,6372,6353,5454,6428,6306,6445,5917,6092,5740,6115,6505,5070,5488,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4933,5860,6617,6620,6629,5496,5478,6187,5332,146,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223,251,166,168,245,244,194,185,181,197,202,186,220,201,173,237,187,188,198,170,238,191,240])).
% 82.63/82.56 cnf(6660,plain,
% 82.63/82.56 (P3(f24(a16,a2,a16,a2,a1,a1),a16,a2)),
% 82.63/82.56 inference(scs_inference,[],[5979,5417,5722,6302,6477,6285,6455,5441,6310,6357,6418,6328,6332,5615,5955,6130,6139,6296,6298,6316,6334,6421,6430,6447,6468,6347,5826,6312,6408,6372,6353,5454,6428,6306,6445,5917,6092,5740,6115,6505,5070,5488,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4933,5860,6617,6620,6629,5496,5478,6187,5332,146,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223,251,166,168,245,244,194,185,181,197,202,186,220,201,173,237,187,188,198,170,238,191,240,200])).
% 82.63/82.56 cnf(6664,plain,
% 82.63/82.56 (P9(f20(a3,a3),a3,a3,a3)),
% 82.63/82.56 inference(scs_inference,[],[5979,5417,5722,6302,6477,6285,6455,5441,6310,6357,6418,6328,6332,5615,5955,6130,6139,6296,6298,6316,6334,6421,6430,6447,6468,6347,5937,5826,6312,6408,6372,6353,5454,6428,6306,6445,5917,6092,5740,6115,6505,5070,5488,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4933,5860,6617,6620,6629,5496,5478,6187,5332,146,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223,251,166,168,245,244,194,185,181,197,202,186,220,201,173,237,187,188,198,170,238,191,240,200,196,178])).
% 82.63/82.56 cnf(6667,plain,
% 82.63/82.56 (P5(a2,f24(a2,a3,a2,a3,a17,a17),a3,f24(a2,a3,a2,a3,a17,a17))),
% 82.63/82.56 inference(scs_inference,[],[5979,5417,5722,6302,6477,6285,6455,5441,6310,6357,6418,6328,6332,5615,5955,6130,6139,6296,6298,6316,6334,6421,6430,6447,6468,6347,5937,5826,6312,6408,6372,6353,5454,6428,6306,6445,5917,6092,5119,5740,6115,6505,5070,5488,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4933,5860,6617,6620,6629,5496,5478,6187,5332,146,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223,251,166,168,245,244,194,185,181,197,202,186,220,201,173,237,187,188,198,170,238,191,240,200,196,178,171])).
% 82.63/82.56 cnf(6671,plain,
% 82.63/82.56 (P1(f5(a3,a2,a3),a3,a2)),
% 82.63/82.56 inference(scs_inference,[],[5979,5417,5722,6302,6477,6285,6455,5441,6310,6357,6418,6328,6332,5615,5955,6130,6139,6296,6298,6316,6334,6421,6430,6447,6468,6347,5937,5826,6312,6408,6372,6353,5454,6428,6306,6445,5917,6092,5119,5740,6115,6505,5070,5488,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4933,5860,6617,6620,6629,5496,5478,6187,5332,146,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223,251,166,168,245,244,194,185,181,197,202,186,220,201,173,237,187,188,198,170,238,191,240,200,196,178,171,175,174])).
% 82.63/82.56 cnf(6677,plain,
% 82.63/82.56 (P4(a2,a2,f13(a3,a17,a3,a2,a2),a2)),
% 82.63/82.56 inference(scs_inference,[],[5979,5417,5722,6302,6477,6285,6455,5441,6310,6357,6418,6328,6332,5615,5955,6130,6139,6296,6298,6316,6334,6421,6430,6447,6468,6347,5937,5826,6312,6408,6372,6353,5454,6428,6306,6374,6445,5917,6092,5119,5740,6115,6505,5070,5488,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4933,5860,6617,6620,6629,5496,5872,5478,6187,5332,146,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223,251,166,168,245,244,194,185,181,197,202,186,220,201,173,237,187,188,198,170,238,191,240,200,196,178,171,175,174,190,195,233])).
% 82.63/82.56 cnf(6682,plain,
% 82.63/82.56 (P3(a3,a2,a3)),
% 82.63/82.56 inference(scs_inference,[],[5979,5417,5722,6302,6477,6285,6455,5441,6310,6357,6418,6328,6332,5615,5955,6130,6139,6296,6298,6316,6334,6421,6430,6447,6457,6468,6347,5392,5937,5826,6312,6408,6372,6353,5454,6428,6306,6374,6445,5917,6092,5119,5740,6115,6505,5070,5488,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4933,5860,6617,6620,6629,5496,5872,6045,5478,6187,5332,5191,146,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223,251,166,168,245,244,194,185,181,197,202,186,220,201,173,237,187,188,198,170,238,191,240,200,196,178,171,175,174,190,195,233,224,159])).
% 82.63/82.56 cnf(6684,plain,
% 82.63/82.56 (P3(f7(a2,a16,a3),a2,a3)),
% 82.63/82.56 inference(scs_inference,[],[5979,5417,5722,6302,6477,6285,6455,5441,6310,6357,6418,6328,6332,5615,5955,6130,6139,6296,6298,6316,6334,6421,6430,6447,6457,6468,6347,5392,5937,5826,6312,6408,6372,6353,5454,6428,6306,6374,6445,5917,6092,5119,5740,6115,6505,5490,5070,5488,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4933,5860,6617,6620,6629,5496,5872,6045,5478,6187,5332,5215,5191,146,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223,251,166,168,245,244,194,185,181,197,202,186,220,201,173,237,187,188,198,170,238,191,240,200,196,178,171,175,174,190,195,233,224,159,183])).
% 82.63/82.56 cnf(6689,plain,
% 82.63/82.56 (P1(f27(a2,a2,a3,a2,a2,a2),a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[5979,5417,5722,6302,6477,6285,6455,5441,6310,6357,6418,6328,6332,5615,5955,6130,6139,6296,6298,6316,6334,6421,6430,6447,6457,6459,6468,6347,5392,5937,5826,6312,6408,6372,6353,5454,6428,6306,6374,6445,5917,6092,5119,5740,6115,6505,5678,4955,5490,5070,5488,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4933,5860,6617,6620,6629,5496,5872,6045,5478,6187,4963,5332,5215,5191,146,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223,251,166,168,245,244,194,185,181,197,202,186,220,201,173,237,187,188,198,170,238,191,240,200,196,178,171,175,174,190,195,233,224,159,183,189,206])).
% 82.63/82.56 cnf(6691,plain,
% 82.63/82.56 (P5(a2,a3,a3,a3)),
% 82.63/82.56 inference(scs_inference,[],[5979,5417,5722,6302,6477,6285,6455,5441,6355,6310,6357,6418,6328,6332,5615,5955,6130,6139,6296,6298,6316,6334,6421,6430,6447,6457,6459,6468,6347,5392,5937,5826,6312,6408,6372,6353,5454,6428,6306,6374,6445,5917,6092,5119,5740,6115,6505,5678,4955,5490,5070,5488,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4933,5860,6617,6620,6629,5496,5872,6045,5478,6187,4963,5332,5215,5191,863,146,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223,251,166,168,245,244,194,185,181,197,202,186,220,201,173,237,187,188,198,170,238,191,240,200,196,178,171,175,174,190,195,233,224,159,183,189,206,248])).
% 82.63/82.56 cnf(6693,plain,
% 82.63/82.56 (P1(a1,a1,f14(a2,a16,a16,a16,a1,a1))),
% 82.63/82.56 inference(scs_inference,[],[142,5979,5417,5722,6302,6477,6285,6455,5441,6355,6310,6357,6418,6328,6332,5615,5955,6130,6139,6296,6298,6316,6334,6421,6430,6447,6457,6459,6468,6347,5392,5937,5826,6312,6408,6372,6353,5454,6428,6306,6374,6445,5917,6092,5119,5740,6115,6505,5678,4955,5490,5070,5488,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4933,5860,6617,6620,6629,5196,5496,5872,6045,5478,6187,4963,5332,5215,5191,863,146,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223,251,166,168,245,244,194,185,181,197,202,186,220,201,173,237,187,188,198,170,238,191,240,200,196,178,171,175,174,190,195,233,224,159,183,189,206,248,203])).
% 82.63/82.56 cnf(6695,plain,
% 82.63/82.56 (P1(f27(a2,a3,a2,a17,a3,a17),a17,a3)),
% 82.63/82.56 inference(scs_inference,[],[142,5979,5417,5722,6302,6477,6285,6455,5441,6355,6310,6357,6418,6328,6332,5615,5955,6130,6139,6296,6298,6316,6334,6421,6430,6447,6457,6459,6468,6347,5392,5937,5826,6312,6408,6372,6353,5454,6428,6306,6374,6445,5917,6092,5119,5740,6115,6505,5678,4955,5466,5490,5070,5488,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4933,5860,6617,6620,6629,5196,5496,5872,6045,5231,5478,6187,4963,5332,5215,5005,5191,863,146,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223,251,166,168,245,244,194,185,181,197,202,186,220,201,173,237,187,188,198,170,238,191,240,200,196,178,171,175,174,190,195,233,224,159,183,189,206,248,203,205])).
% 82.63/82.56 cnf(6697,plain,
% 82.63/82.56 (P10(a3,a17,a17,a17)),
% 82.63/82.56 inference(scs_inference,[],[142,5979,5417,5722,6302,6477,6285,6455,5441,6355,6310,6357,6418,6328,6332,5615,5955,6130,6139,6296,6298,6316,6334,6421,6430,6447,6457,6459,6468,6347,5392,5937,5826,6312,6408,6372,6353,5454,6428,6306,6374,6445,5917,6092,5119,5740,6115,6505,5678,4955,5466,5490,5070,5488,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4933,5860,6617,6620,6629,5196,5496,5872,6045,5231,5478,6187,4963,5332,5215,5005,5191,863,146,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223,251,166,168,245,244,194,185,181,197,202,186,220,201,173,237,187,188,198,170,238,191,240,200,196,178,171,175,174,190,195,233,224,159,183,189,206,248,203,205,4083])).
% 82.63/82.56 cnf(6701,plain,
% 82.63/82.56 (P1(f22(a3,a2,a2,a2),a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[142,5979,5417,5722,6302,6477,6285,6455,5441,6355,6310,6357,6418,6328,6332,5615,5955,6130,6139,6296,6298,6316,6334,6421,6430,6447,6457,6459,6468,6347,5392,5937,5826,6312,6408,6372,6353,5454,6428,6306,6374,6445,5917,6092,5119,5740,6115,6505,5678,4955,5466,5490,5070,5488,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4933,5860,6617,6620,6629,5196,5496,5872,6045,5231,5478,6187,4963,5332,5215,5005,5191,863,146,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223,251,166,168,245,244,194,185,181,197,202,186,220,201,173,237,187,188,198,170,238,191,240,200,196,178,171,175,174,190,195,233,224,159,183,189,206,248,203,205,4083,184,246])).
% 82.63/82.56 cnf(6705,plain,
% 82.63/82.56 (P1(a2,a3,f22(a3,a2,a2,a2))),
% 82.63/82.56 inference(scs_inference,[],[142,5979,5417,5722,6302,6477,6285,6455,5441,6355,6310,6357,6418,6328,6332,5615,5955,6130,6139,6296,6298,6316,6334,6421,6430,6447,6457,6459,6468,6347,5392,5937,5826,6312,6408,6372,6353,5454,6428,6306,6374,6445,5754,5917,6092,5119,5740,6115,6505,5678,4955,5466,5490,5070,5488,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4933,5860,6617,6620,6629,5196,5496,5872,6045,5231,5478,6187,4963,5332,5215,5005,5191,863,146,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223,251,166,168,245,244,194,185,181,197,202,186,220,201,173,237,187,188,198,170,238,191,240,200,196,178,171,175,174,190,195,233,224,159,183,189,206,248,203,205,4083,184,246,169,242])).
% 82.63/82.56 cnf(6707,plain,
% 82.63/82.56 (P8(a2,a2,a2,a2,a2,a2,a2,a16)),
% 82.63/82.56 inference(scs_inference,[],[142,5979,5417,5722,6302,6477,6285,6455,5441,6355,6310,6357,6418,6328,6332,5615,5955,6130,6139,6296,6298,6316,6330,6334,6421,6430,6447,6457,6459,6468,6347,5392,5937,5826,6312,6408,6372,6353,5454,6428,6306,6374,6445,5754,5917,6092,5119,5740,6115,6505,5678,4955,5466,5092,5490,5070,5488,6137,6484,6487,6490,6493,6496,6499,6502,6508,6511,6514,6517,6520,6523,6526,6529,4933,5860,6617,6620,6629,5196,5496,5872,6045,5231,5478,6187,4963,5332,5215,5005,5191,863,146,4808,4342,4334,4805,4331,805,1609,586,801,4338,789,3038,3053,1343,797,1347,1590,781,4251,350,4327,785,255,160,256,151,1606,4061,4645,150,1583,149,1340,1601,153,252,148,250,511,221,161,222,249,253,165,157,164,163,254,167,442,162,793,223,251,166,168,245,244,194,185,181,197,202,186,220,201,173,237,187,188,198,170,238,191,240,200,196,178,171,175,174,190,195,233,224,159,183,189,206,248,203,205,4083,184,246,169,242,227])).
% 82.63/82.56 cnf(6716,plain,
% 82.63/82.56 (P7(a2,a2,a2,a17,a2,a2,a2,a17)),
% 82.63/82.56 inference(scs_inference,[],[6564,4331])).
% 82.63/82.56 cnf(6724,plain,
% 82.63/82.56 (P9(x67241,f6(x67241,x67241,x67242),x67242,x67241)),
% 82.63/82.56 inference(rename_variables,[],[6115])).
% 82.63/82.56 cnf(6726,plain,
% 82.63/82.56 (P10(a18,f6(a18,a18,a18),a17,a17)),
% 82.63/82.56 inference(scs_inference,[],[6564,6104,6115,6724,6137,4331,4327,785,350,4251])).
% 82.63/82.56 cnf(6729,plain,
% 82.63/82.56 (P7(a3,a2,a3,a2,a2,a3,a3,a2)),
% 82.63/82.56 inference(scs_inference,[],[6055,6564,6104,6115,6724,6137,4331,4327,785,350,4251,255])).
% 82.63/82.56 cnf(6731,plain,
% 82.63/82.56 (P10(a3,a17,a19,a19)),
% 82.63/82.56 inference(scs_inference,[],[5769,6055,6564,6104,6115,6724,6137,4331,4327,785,350,4251,255,160])).
% 82.63/82.56 cnf(6733,plain,
% 82.63/82.56 (P10(f20(a3,a3),a3,a17,a17)),
% 82.63/82.56 inference(scs_inference,[],[5769,6055,6564,6664,6104,6115,6724,6137,4331,4327,785,350,4251,255,160,4061])).
% 82.63/82.56 cnf(6735,plain,
% 82.63/82.56 (P3(a3,a3,a2)),
% 82.63/82.56 inference(scs_inference,[],[5769,6055,6564,6682,6664,6104,6115,6724,6137,4331,4327,785,350,4251,255,160,4061,151])).
% 82.63/82.56 cnf(6737,plain,
% 82.63/82.56 (P7(a2,a3,a2,a3,a3,a2,a3,a2)),
% 82.63/82.56 inference(scs_inference,[],[5769,6055,6564,6682,6664,6104,6115,6724,6137,4331,4327,785,350,4251,255,160,4061,151,256])).
% 82.63/82.56 cnf(6749,plain,
% 82.63/82.56 (P5(a3,a2,a3,a3)),
% 82.63/82.56 inference(scs_inference,[],[5769,6055,6564,6349,6682,6619,6664,6120,6695,6280,6104,6115,6724,6137,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153])).
% 82.63/82.56 cnf(6759,plain,
% 82.63/82.56 (P10(a1,a3,a16,a2)),
% 82.63/82.56 inference(scs_inference,[],[5619,5817,5769,6055,6564,6009,6349,6682,6203,6552,6619,6664,6120,6695,6280,6104,6115,6724,6137,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161])).
% 82.63/82.56 cnf(6761,plain,
% 82.63/82.56 (P9(a18,a18,a16,a2)),
% 82.63/82.56 inference(scs_inference,[],[5619,5817,5769,6055,6564,6009,6349,6653,6682,6203,6552,6619,6664,6120,6695,6280,6104,6115,6724,6137,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511])).
% 82.63/82.56 cnf(6763,plain,
% 82.63/82.56 (P8(a2,a2,a19,a19,a18,a18,a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[5619,5817,5769,6055,6564,6009,6349,6653,6682,6203,6552,6619,6664,6120,6695,6280,6104,6115,6724,6137,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250])).
% 82.63/82.56 cnf(6765,plain,
% 82.63/82.56 (P8(a19,a19,x67651,x67652,a3,a17,x67651,x67652)),
% 82.63/82.56 inference(scs_inference,[],[5619,5817,5769,6055,6564,6009,6349,6653,6682,6203,6552,6619,6664,6120,6695,6280,6104,6115,6724,6137,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222])).
% 82.63/82.56 cnf(6767,plain,
% 82.63/82.56 (P1(a17,f6(a3,a17,a3),a17)),
% 82.63/82.56 inference(scs_inference,[],[5619,5817,5769,6055,6564,6009,6349,6653,6682,6203,6552,6619,6664,6120,6695,6280,6556,6104,6115,6724,6137,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157])).
% 82.63/82.56 cnf(6771,plain,
% 82.63/82.56 (P8(a18,a18,a18,a18,a18,a18,a18,a18)),
% 82.63/82.56 inference(scs_inference,[],[5619,5817,5769,6055,6107,6564,6009,6349,6438,6653,6682,6203,6552,6619,6664,6120,6695,6280,6556,6104,6115,6724,6137,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221])).
% 82.63/82.56 cnf(6775,plain,
% 82.63/82.56 (P5(a1,a16,a2,a1)),
% 82.63/82.56 inference(scs_inference,[],[5619,5817,5769,6055,6107,6570,6564,5630,6009,6349,6438,6653,6682,6203,6552,6619,6664,6120,6695,6280,6556,6104,6115,6724,6137,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165])).
% 82.63/82.56 cnf(6779,plain,
% 82.63/82.56 (P1(a2,a16,a16)),
% 82.63/82.56 inference(scs_inference,[],[5619,5817,5769,6055,6107,6570,6564,5630,6009,6349,6438,6592,6653,6682,6203,6552,6619,6664,6120,6695,6280,6556,6104,6115,6724,6137,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165,442,148])).
% 82.63/82.56 cnf(6783,plain,
% 82.63/82.56 (P9(a16,a2,a1,a3)),
% 82.63/82.56 inference(scs_inference,[],[5619,5817,5769,6055,6107,6570,6564,4878,5630,6009,6349,6438,6592,6653,6682,5484,6203,6552,6619,6664,6120,6695,6280,6556,6104,6115,6724,6137,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165,442,148,163,162])).
% 82.63/82.56 cnf(6787,plain,
% 82.63/82.56 (P4(a2,f13(a3,a17,a3,a2,a2),a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[5619,5817,5769,6055,6107,6570,6691,6564,4878,5630,6009,6349,6438,6592,6653,6682,5484,6203,6552,6619,6664,6120,6677,6695,6280,6556,6104,6115,6724,6137,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165,442,148,163,162,164,167])).
% 82.63/82.56 cnf(6795,plain,
% 82.63/82.56 (P4(a17,a2,a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[5619,5817,5769,6055,6107,6570,6691,6564,4878,5080,5630,6009,6349,6438,6592,6600,6653,6682,5484,6203,6552,6619,6671,6664,6120,6677,6695,6280,6556,6104,6115,6724,6137,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165,442,148,163,162,164,167,223,793,251,166])).
% 82.63/82.56 cnf(6803,plain,
% 82.63/82.56 (P2(a1,a16,a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[5619,5817,5769,6055,6107,6570,6691,6564,4878,5080,5630,6009,6349,6438,6592,6600,6653,6682,5484,6203,6552,6619,6671,6664,6120,6677,6695,6280,6556,6104,6039,6115,6724,6137,6418,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165,442,148,163,162,164,167,223,793,251,166,168,245,185,181])).
% 82.63/82.56 cnf(6805,plain,
% 82.63/82.56 (P1(f15(a3,a3,a2,a3),a2,a3)),
% 82.63/82.56 inference(scs_inference,[],[5619,5817,5769,6055,6107,6570,6691,6564,4878,5080,5630,6009,6349,6438,6592,6600,6653,6682,5484,6203,6552,6619,6671,6664,6120,6677,6695,6280,6556,6104,6039,6115,6724,6137,6418,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165,442,148,163,162,164,167,223,793,251,166,168,245,185,181,244])).
% 82.63/82.56 cnf(6811,plain,
% 82.63/82.56 (P1(f13(a16,a2,a2,a2,a17),a2,a17)),
% 82.63/82.56 inference(scs_inference,[],[5619,5817,5769,6055,6107,6570,6691,6564,4878,5080,5630,6009,6349,6438,6592,6600,6653,6682,5484,6203,6435,6552,6619,6671,6664,6120,6677,6695,6280,6556,6104,6039,6115,6724,6137,6216,6418,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165,442,148,163,162,164,167,223,793,251,166,168,245,185,181,244,246,220,194])).
% 82.63/82.56 cnf(6813,plain,
% 82.63/82.56 (P9(a19,f5(a19,a18,a18),a18,a18)),
% 82.63/82.56 inference(scs_inference,[],[5619,5817,5769,6055,6107,6570,6691,6564,4878,5080,5630,6009,6349,6438,6592,6600,6653,6682,5484,6203,6435,6552,6619,6671,6664,6120,6677,6695,6280,6556,6104,5020,6039,6115,6724,6137,5729,6216,6418,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165,442,148,163,162,164,167,223,793,251,166,168,245,185,181,244,246,220,194,186])).
% 82.63/82.56 cnf(6814,plain,
% 82.63/82.56 (P9(x68141,x68142,x68142,x68141)),
% 82.63/82.56 inference(rename_variables,[],[5729])).
% 82.63/82.56 cnf(6818,plain,
% 82.63/82.56 (P9(a2,a16,a16,a16)),
% 82.63/82.56 inference(scs_inference,[],[142,5619,5817,5769,6055,6107,6570,6691,6564,4878,5080,5630,6009,6349,6438,6592,6600,6626,6653,6682,5484,6203,6435,6552,6619,6671,6664,6120,6677,6695,6280,6556,6104,5020,6039,6115,6724,6137,5729,6216,6418,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165,442,148,163,162,164,167,223,793,251,166,168,245,185,181,244,246,220,194,186,202,169])).
% 82.63/82.56 cnf(6823,plain,
% 82.63/82.56 (P9(x68231,x68232,x68231,x68232)),
% 82.63/82.56 inference(rename_variables,[],[5860])).
% 82.63/82.56 cnf(6829,plain,
% 82.63/82.56 (P9(a19,f6(a18,a19,a18),a18,a18)),
% 82.63/82.56 inference(scs_inference,[],[142,5619,5817,5769,6055,6107,6570,6691,6564,4878,5080,5630,6009,6349,6438,6592,6600,6626,6653,6658,6682,5484,6203,6435,6552,6619,6671,6664,6120,6677,6695,6280,6556,6104,5020,6039,6115,6724,6137,5860,5729,6814,6216,6418,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165,442,148,163,162,164,167,223,793,251,166,168,245,185,181,244,246,220,194,186,202,169,173,247,197,242,187])).
% 82.63/82.56 cnf(6830,plain,
% 82.63/82.56 (P9(x68301,x68302,x68302,x68301)),
% 82.63/82.56 inference(rename_variables,[],[5729])).
% 82.63/82.56 cnf(6832,plain,
% 82.63/82.56 (P10(a3,a17,a2,f4(a2,a2,a2))),
% 82.63/82.56 inference(scs_inference,[],[142,5619,5817,5769,6055,6107,6570,6691,6564,4878,5080,5630,6009,6349,6438,6592,6600,6626,6653,6658,6682,5484,6191,6203,6435,6552,6619,6671,6664,6120,6677,6695,6280,6556,6061,6104,5020,6039,6115,6724,6137,5860,5729,6814,6216,6418,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165,442,148,163,162,164,167,223,793,251,166,168,245,185,181,244,246,220,194,186,202,169,173,247,197,242,187,237])).
% 82.63/82.56 cnf(6840,plain,
% 82.63/82.56 (P9(x68401,x68402,x68401,x68402)),
% 82.63/82.56 inference(rename_variables,[],[5860])).
% 82.63/82.56 cnf(6844,plain,
% 82.63/82.56 (P5(a16,a2,a16,a2)),
% 82.63/82.56 inference(scs_inference,[],[142,5619,5817,5769,6055,6107,6570,6691,6564,4878,5080,5630,6009,6349,6438,6592,6600,6626,6653,6658,6682,5484,6191,6203,6435,6552,6619,6671,6664,6120,6677,6695,6280,6556,6061,6104,5020,6039,6115,6724,6137,5860,6823,5729,6814,6216,5332,6418,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165,442,148,163,162,164,167,223,793,251,166,168,245,185,181,244,246,220,194,186,202,169,173,247,197,242,187,237,201,191,188,200,170])).
% 82.63/82.56 cnf(6848,plain,
% 82.63/82.56 (P9(a2,a3,a3,a17)),
% 82.63/82.56 inference(scs_inference,[],[142,5619,5817,5769,6055,6107,6570,6691,6564,6610,4878,5080,5630,6009,6349,6438,6592,6600,6626,6653,6658,6682,5484,6191,6203,6435,6552,6619,6671,6664,6120,6677,6695,6280,6556,6061,6104,5020,6039,6069,6115,6724,6137,5860,6823,5729,6814,6216,5332,6418,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165,442,148,163,162,164,167,223,793,251,166,168,245,185,181,244,246,220,194,186,202,169,173,247,197,242,187,237,201,191,188,200,170,198,238])).
% 82.63/82.56 cnf(6851,plain,
% 82.63/82.56 (P9(f20(a2,a2),f20(a2,a2),a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[142,5619,5817,5769,6055,6107,6570,6691,6564,6610,4878,5080,5630,6009,6349,6438,6592,6600,6626,6653,6658,6682,5484,6191,6203,5832,6435,6552,6619,6671,6664,6120,6677,6695,6280,6556,6061,6104,5020,6039,6069,6115,6724,6137,5860,6823,5729,6814,6216,5332,6418,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165,442,148,163,162,164,167,223,793,251,166,168,245,185,181,244,246,220,194,186,202,169,173,247,197,242,187,237,201,191,188,200,170,198,238,178])).
% 82.63/82.56 cnf(6855,plain,
% 82.63/82.56 (P9(x68551,x68552,x68552,x68551)),
% 82.63/82.56 inference(rename_variables,[],[5729])).
% 82.63/82.56 cnf(6857,plain,
% 82.63/82.56 (P5(a1,a16,a1,a16)),
% 82.63/82.56 inference(scs_inference,[],[142,5619,5817,5769,6055,6107,6570,6691,6564,6610,4878,5080,5630,6009,6349,6438,6592,6600,6626,6653,6658,6682,5484,6191,6203,5832,6435,6552,6619,6671,6664,6120,6677,6695,6280,6556,6061,6104,5020,6039,6069,5062,6115,6724,6137,5860,6823,5729,6814,6830,6216,5332,6418,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165,442,148,163,162,164,167,223,793,251,166,168,245,185,181,244,246,220,194,186,202,169,173,247,197,242,187,237,201,191,188,200,170,198,238,178,175,240])).
% 82.63/82.56 cnf(6859,plain,
% 82.63/82.56 (P1(a17,a17,a2)),
% 82.63/82.56 inference(scs_inference,[],[142,5619,5817,5769,6055,6107,6570,6691,6564,6610,4878,5080,5630,6009,6349,6438,6592,6600,6626,6653,6658,6682,5484,6191,6203,5832,6435,6552,6619,6671,6664,6120,6677,6695,6280,6556,6061,6104,5020,6039,6069,5062,6115,6724,6137,5860,6823,5729,6814,6830,6216,5332,6418,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165,442,148,163,162,164,167,223,793,251,166,168,245,185,181,244,246,220,194,186,202,169,173,247,197,242,187,237,201,191,188,200,170,198,238,178,175,240,152])).
% 82.63/82.56 cnf(6864,plain,
% 82.63/82.56 (P10(x68641,x68641,a17,a17)),
% 82.63/82.56 inference(scs_inference,[],[142,5619,5817,5769,6055,6107,6570,6691,6564,6610,4878,5080,5630,6009,6349,6438,6592,6600,6626,6653,6658,6682,5484,6191,6203,5832,6435,6552,6619,6671,6664,6120,6677,6695,6280,6556,6061,6104,5020,6039,6069,5062,5447,6115,6724,6137,5860,6823,6840,5729,6814,6830,6216,5332,6418,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165,442,148,163,162,164,167,223,793,251,166,168,245,185,181,244,246,220,194,186,202,169,173,247,197,242,187,237,201,191,188,200,170,198,238,178,175,240,152,196,154])).
% 82.63/82.56 cnf(6869,plain,
% 82.63/82.56 (P9(x68691,x68692,x68692,x68691)),
% 82.63/82.56 inference(rename_variables,[],[5729])).
% 82.63/82.56 cnf(6871,plain,
% 82.63/82.56 (P9(f13(a16,a2,a2,a2,a17),a16,a2,a17)),
% 82.63/82.56 inference(scs_inference,[],[142,5619,5817,5769,6055,6107,6570,6691,6564,6610,4878,5080,5630,6009,6349,6438,6592,6600,6626,6653,6658,6682,5484,6191,6203,5832,6435,6552,6619,6671,6664,6120,6677,6695,6280,6556,6061,6104,5020,6039,6069,5062,5447,6115,6724,6137,5860,6823,6840,5729,6814,6830,6855,6216,5332,6418,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165,442,148,163,162,164,167,223,793,251,166,168,245,185,181,244,246,220,194,186,202,169,173,247,197,242,187,237,201,191,188,200,170,198,238,178,175,240,152,196,154,190,174,195])).
% 82.63/82.56 cnf(6873,plain,
% 82.63/82.56 (P4(a2,a2,f27(a2,a2,a3,a2,a2,a2),a2)),
% 82.63/82.56 inference(scs_inference,[],[142,5619,5817,5769,6055,6107,6570,6691,6564,6610,4878,5080,5630,6009,6349,6438,6592,6600,6626,6653,6658,6682,5484,6191,6203,6689,5832,6435,6552,6619,6671,6664,6120,6677,6695,6280,6556,6061,6104,5020,6039,6069,5062,5447,6115,6724,6137,5860,6823,6840,5872,5729,6814,6830,6855,6216,5332,6418,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165,442,148,163,162,164,167,223,793,251,166,168,245,185,181,244,246,220,194,186,202,169,173,247,197,242,187,237,201,191,188,200,170,198,238,178,175,240,152,196,154,190,174,195,233])).
% 82.63/82.56 cnf(6879,plain,
% 82.63/82.56 (P8(a2,a2,a2,a3,f10(a2,a2,a3),a2,f10(a2,a2,a3),a3)),
% 82.63/82.56 inference(scs_inference,[],[142,5619,5817,5769,6055,6107,6570,6691,6564,6610,4878,5080,5630,6009,6349,6438,6592,6600,6626,6653,6658,6682,5484,6191,6203,6689,5832,6435,6552,6619,6671,6664,6120,6677,6695,6167,6280,6556,6061,6104,5020,6039,6069,5062,5447,6115,6724,6137,5860,6823,6840,5872,5729,6814,6830,6855,6869,6216,5332,6418,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165,442,148,163,162,164,167,223,793,251,166,168,245,185,181,244,246,220,194,186,202,169,173,247,197,242,187,237,201,191,188,200,170,198,238,178,175,240,152,196,154,190,174,195,233,226,224])).
% 82.63/82.56 cnf(6884,plain,
% 82.63/82.56 (P9(a3,a2,a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[142,5619,5817,5769,6055,6107,6570,6691,6564,6610,4878,5080,5630,6009,6349,6438,6592,6600,6626,6653,6658,6682,5484,6191,6203,6689,5832,6435,6552,6619,6671,6664,6120,6677,6695,6167,6280,6556,6061,6104,5020,6039,6069,5062,5494,5447,6115,6724,4876,6137,5860,6823,6840,5872,5729,6814,6830,6855,6869,6216,5332,5757,6418,5158,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165,442,148,163,162,164,167,223,793,251,166,168,245,185,181,244,246,220,194,186,202,169,173,247,197,242,187,237,201,191,188,200,170,198,238,178,175,240,152,196,154,190,174,195,233,226,224,259,192])).
% 82.63/82.56 cnf(6886,plain,
% 82.63/82.56 (P3(f7(a2,a3,a2),a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[142,5619,5817,5769,6055,6107,6570,6691,6564,6610,4878,5080,5630,6009,6349,6438,6592,6600,6626,6653,6658,6682,5484,6191,6203,6689,5832,6435,6552,6619,6671,6664,6120,6677,6695,6167,6280,6556,6061,6104,5020,6039,6069,5062,5494,5939,5447,6115,6724,4876,6137,5860,6823,6840,5872,5729,6814,6830,6855,6869,6216,5578,5332,5757,6418,5158,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165,442,148,163,162,164,167,223,793,251,166,168,245,185,181,244,246,220,194,186,202,169,173,247,197,242,187,237,201,191,188,200,170,198,238,178,175,240,152,196,154,190,174,195,233,226,224,259,192,183])).
% 82.63/82.56 cnf(6892,plain,
% 82.63/82.56 (P5(a18,a18,a18,a18)),
% 82.63/82.56 inference(scs_inference,[],[142,5619,5817,5769,6055,6107,6570,6691,6564,6610,4878,5080,5630,6009,6349,6438,6592,6600,6626,6653,6658,6682,6697,5484,6191,6203,6689,5832,6435,6552,6619,6671,6664,6120,6677,6695,6167,6280,6556,6061,6104,5020,6039,6069,5694,5062,5494,5939,5447,6115,6724,4876,5048,6137,5860,6823,6840,5872,5625,5056,5729,6814,6830,6855,6869,5958,6216,5578,5332,5757,6418,5158,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165,442,148,163,162,164,167,223,793,251,166,168,245,185,181,244,246,220,194,186,202,169,173,247,197,242,187,237,201,191,188,200,170,198,238,178,175,240,152,196,154,190,174,195,233,226,224,259,192,183,189,206,248])).
% 82.63/82.56 cnf(6900,plain,
% 82.63/82.56 (P9(a19,a19,a2,a16)),
% 82.63/82.56 inference(scs_inference,[],[142,5619,5817,5769,6055,6107,6570,6691,6564,6610,4878,5080,5630,6009,6349,6438,6592,6600,6626,6653,6658,6682,6697,5484,6191,6203,6689,5832,6435,6552,6619,6671,6664,6120,6677,6695,6167,6280,6556,6061,6104,5020,6039,6069,5694,5062,5494,5939,5447,6115,6724,4876,5048,6137,5470,5860,6823,6840,5872,5625,5056,5729,6814,6830,6855,6869,4021,5958,6216,5578,5332,5757,6418,5158,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165,442,148,163,162,164,167,223,793,251,166,168,245,185,181,244,246,220,194,186,202,169,173,247,197,242,187,237,201,191,188,200,170,198,238,178,175,240,152,196,154,190,174,195,233,226,224,259,192,183,189,206,248,205,203,204,586])).
% 82.63/82.56 cnf(6902,plain,
% 82.63/82.56 (P9(a17,a17,a2,a16)),
% 82.63/82.56 inference(scs_inference,[],[142,5619,5817,5769,6055,6107,6570,6691,6564,6610,4878,5080,5630,6009,6349,6438,6592,6600,6626,6653,6658,6682,6697,5484,6191,6203,6689,5832,6435,6552,6619,6671,6664,6120,6677,6695,6167,6280,6556,6061,6104,5020,6039,6069,5694,5062,5494,5939,5447,6115,6724,4876,5048,6137,5470,5860,6823,6840,5872,5625,5056,5729,6814,6830,6855,6869,4021,5958,6216,5578,5332,5757,6418,5158,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165,442,148,163,162,164,167,223,793,251,166,168,245,185,181,244,246,220,194,186,202,169,173,247,197,242,187,237,201,191,188,200,170,198,238,178,175,240,152,196,154,190,174,195,233,226,224,259,192,183,189,206,248,205,203,204,586,1590])).
% 82.63/82.56 cnf(6910,plain,
% 82.63/82.56 (~P9(a2,a2,a2,a16)+P1(a16,a2,f23(a2,a16,a2,a2))),
% 82.63/82.56 inference(scs_inference,[],[142,5619,5817,5769,6055,6107,6570,6691,6564,6610,4878,5080,5630,6009,6349,6438,6592,6600,6626,6653,6658,6682,6697,6707,5484,6191,6203,6689,5832,6435,6552,6619,6671,6664,6120,6677,6695,6167,6280,6556,6061,6104,5020,6039,6069,5694,5062,5494,5939,5447,6115,6724,4876,5048,6137,5470,5860,6823,6840,5872,5625,5056,5729,6814,6830,6855,6869,4021,5958,6216,5578,5332,5757,6418,5158,4331,4327,785,350,4251,255,160,4061,151,256,4645,1606,1340,1583,1601,153,150,149,252,249,161,511,250,222,157,254,221,253,165,442,148,163,162,164,167,223,793,251,166,168,245,185,181,244,246,220,194,186,202,169,173,247,197,242,187,237,201,191,188,200,170,198,238,178,175,240,152,196,154,190,174,195,233,226,224,259,192,183,189,206,248,205,203,204,586,1590,781,544,184,243])).
% 82.63/82.56 cnf(6933,plain,
% 82.63/82.56 (P10(a19,f5(a19,a18,a18),a17,a17)),
% 82.63/82.56 inference(scs_inference,[],[6811,6813,6123,4331,4327,4251])).
% 82.63/82.56 cnf(6935,plain,
% 82.63/82.56 (P10(a16,a2,a2,a16)),
% 82.63/82.56 inference(scs_inference,[],[6783,6811,6813,6123,4331,4327,4251,350])).
% 82.63/82.56 cnf(6937,plain,
% 82.63/82.56 (P7(a17,a17,a17,a2,a17,a17,a17,a2)),
% 82.63/82.56 inference(scs_inference,[],[6783,6859,6811,6813,6123,4331,4327,4251,350,785])).
% 82.63/82.56 cnf(6939,plain,
% 82.63/82.56 (P10(a18,f5(a18,a3,a3),a17,a17)),
% 82.63/82.56 inference(scs_inference,[],[6783,6859,6811,6369,6813,6123,4331,4327,4251,350,785,4061])).
% 82.63/82.56 cnf(6941,plain,
% 82.63/82.56 (P10(a17,a17,a16,a2)),
% 82.63/82.56 inference(scs_inference,[],[6537,6783,6859,6811,6369,6813,6123,4331,4327,4251,350,785,4061,160])).
% 82.63/82.56 cnf(6951,plain,
% 82.63/82.56 (P7(a2,a17,a2,a17,a17,a2,a17,a2)),
% 82.63/82.56 inference(scs_inference,[],[6544,6537,6572,6783,6859,6660,6733,6811,6369,6813,6123,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256])).
% 82.63/82.56 cnf(6959,plain,
% 82.63/82.56 (P10(a16,a16,a2,a3)),
% 82.63/82.56 inference(scs_inference,[],[6544,6537,6304,6572,6783,6859,6660,6805,6733,6811,6369,6813,6123,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161])).
% 82.63/82.56 cnf(6963,plain,
% 82.63/82.56 (P5(a3,a3,a3,a2)),
% 82.63/82.56 inference(scs_inference,[],[6544,6537,6304,6572,6735,6783,6859,6660,6805,6733,6811,6369,6813,6201,6123,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153])).
% 82.63/82.56 cnf(6967,plain,
% 82.63/82.56 (P8(x69671,x69672,a19,a19,x69671,x69672,a3,a17)),
% 82.63/82.56 inference(scs_inference,[],[6544,6537,6765,6304,6572,6735,6783,6859,6851,6660,6805,6733,6811,6369,6813,6201,6123,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250])).
% 82.63/82.56 cnf(6971,plain,
% 82.63/82.56 (P1(a17,a2,a17)),
% 82.63/82.56 inference(scs_inference,[],[6544,6537,6765,6304,6572,6735,6783,6859,6851,6660,6805,6733,6811,6369,6813,6201,6123,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149])).
% 82.63/82.56 cnf(6973,plain,
% 82.63/82.56 (P8(a18,a18,x69731,x69732,a3,a17,x69731,x69732)),
% 82.63/82.56 inference(scs_inference,[],[5926,6544,6537,6765,6304,6572,6735,6783,6859,6851,6660,6805,6733,6811,6369,6813,6201,6123,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222])).
% 82.63/82.56 cnf(6975,plain,
% 82.63/82.56 (P7(a17,a2,a2,a17,a17,a2,a2,a17)),
% 82.63/82.56 inference(scs_inference,[],[5926,6544,6537,6765,6304,6572,6735,6783,6859,6851,6660,6805,6733,6811,6369,6813,6201,6123,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254])).
% 82.63/82.56 cnf(6977,plain,
% 82.63/82.56 (P7(a17,a3,a3,a2,a3,a17,a3,a2)),
% 82.63/82.56 inference(scs_inference,[],[5926,6544,6537,6765,5807,6304,6572,6735,6783,6859,6851,6660,6805,6733,6811,6369,6813,6201,6123,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253])).
% 82.63/82.56 cnf(6979,plain,
% 82.63/82.56 (P1(a2,a16,a2)),
% 82.63/82.56 inference(scs_inference,[],[5926,6544,6537,6765,5807,6304,6572,6735,6783,6859,6851,6660,6805,6733,6811,6369,6813,6201,6330,6123,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157])).
% 82.63/82.56 cnf(6983,plain,
% 82.63/82.56 (P5(a16,a2,a2,a16)),
% 82.63/82.56 inference(scs_inference,[],[6289,5926,6544,6537,6765,5807,6304,6572,6735,6783,6844,6859,6851,6660,6805,6733,6811,6369,6813,6201,6330,6123,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165])).
% 82.63/82.56 cnf(6989,plain,
% 82.63/82.56 (P9(a2,a16,a19,a19)),
% 82.63/82.56 inference(scs_inference,[],[6900,6289,5926,6544,6537,6765,5807,6304,6572,6614,6735,6783,6844,6859,5347,6851,6660,6805,6733,6811,6369,6813,6201,6330,6123,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162])).
% 82.63/82.56 cnf(6991,plain,
% 82.63/82.56 (P5(a16,a1,a1,a2)),
% 82.63/82.56 inference(scs_inference,[],[6900,6289,5926,6544,6537,6765,5807,6304,6572,6590,6614,6735,6783,6844,6859,5347,6851,6660,6805,6733,6811,6369,6813,6201,6330,6123,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164])).
% 82.63/82.56 cnf(6995,plain,
% 82.63/82.56 (P4(a2,f27(a2,a2,a3,a2,a2,a2),a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[6900,6289,5926,6544,6537,6765,5807,6304,6572,6590,6614,6735,6783,6844,6859,5347,6851,6660,6805,6733,6873,6811,6369,6813,6201,6330,6123,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167])).
% 82.63/82.56 cnf(6997,plain,
% 82.63/82.56 (P9(a19,a19,a16,a2)),
% 82.63/82.56 inference(scs_inference,[],[6900,6289,5926,6544,6537,6765,5807,6304,6572,6590,6614,6735,6783,6844,6859,5347,6851,6660,6805,6733,6873,6811,6369,6813,6201,6330,6123,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163])).
% 82.63/82.56 cnf(7009,plain,
% 82.63/82.56 (P1(f15(a18,a18,a18,a18),a18,a18)),
% 82.63/82.56 inference(scs_inference,[],[6900,6289,5926,6544,6537,6765,5253,5807,6304,6572,6590,6614,6735,6749,6771,6783,6844,6859,5347,6851,6660,6805,6733,6873,6787,6622,6811,6369,6813,6201,6330,6123,5860,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245])).
% 82.63/82.56 cnf(7010,plain,
% 82.63/82.56 (P9(x70101,x70102,x70101,x70102)),
% 82.63/82.56 inference(rename_variables,[],[5860])).
% 82.63/82.56 cnf(7012,plain,
% 82.63/82.56 (P2(a3,a2,a3,a3)),
% 82.63/82.56 inference(scs_inference,[],[6900,6289,5926,6544,6537,6765,5253,5807,6304,6572,6590,6614,6735,6749,6771,6783,6844,6859,5347,6851,6660,6805,6733,6873,6787,6622,6811,6369,6813,6201,6330,6123,5860,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181])).
% 82.63/82.56 cnf(7014,plain,
% 82.63/82.56 (P1(a2,a2,f23(a2,a2,a3,a2))),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6537,6765,5253,5807,6304,6572,6590,6614,6735,6749,6771,6783,6844,6859,5347,6851,6660,6805,6733,6873,6787,6622,6811,6369,6813,6201,6330,5243,6123,5860,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243])).
% 82.63/82.56 cnf(7015,plain,
% 82.63/82.56 (P8(a2,a3,x70151,x70152,a3,a2,x70151,x70152)),
% 82.63/82.56 inference(rename_variables,[],[5243])).
% 82.63/82.56 cnf(7018,plain,
% 82.63/82.56 (P9(x70181,x70182,x70182,x70181)),
% 82.63/82.56 inference(rename_variables,[],[5729])).
% 82.63/82.56 cnf(7020,plain,
% 82.63/82.56 (P1(f15(a3,a3,a3,a2),a3,a2)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6537,6765,5253,5807,6304,6572,6590,6614,6735,6749,6771,6783,6844,6859,5347,6851,6660,6805,6733,6873,6787,6622,6811,6369,6813,6201,6330,5243,6123,5860,7010,5729,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244])).
% 82.63/82.56 cnf(7021,plain,
% 82.63/82.56 (P9(x70211,x70212,x70211,x70212)),
% 82.63/82.56 inference(rename_variables,[],[5860])).
% 82.63/82.56 cnf(7032,plain,
% 82.63/82.56 (P1(f23(a2,a2,a3,a2),a3,a2)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6537,6765,5253,5807,6304,6572,6590,6614,6735,6749,6771,6783,6844,6859,6892,5347,6851,6660,6805,6733,6873,6787,6622,6811,6369,6813,6201,6330,5243,7015,6123,5860,7010,5729,7018,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247])).
% 82.63/82.56 cnf(7050,plain,
% 82.63/82.56 (P5(f8(a3,a3,a3,a2),a3,f8(a3,a3,a3,a2),a2)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6537,6818,6779,6765,5253,5807,6304,6572,6590,6614,6735,6749,6771,6783,6844,6859,6892,5361,5993,5347,6851,6660,6805,6733,6873,6787,6622,6811,6369,6813,6201,6330,5263,5243,7015,6123,5383,5860,7010,5729,7018,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170])).
% 82.63/82.56 cnf(7056,plain,
% 82.63/82.56 (P9(a3,a17,a2,a16)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6537,6818,6779,6765,5253,5807,6304,6572,6590,6614,6731,6735,6749,6771,6783,6844,6859,6892,5361,5993,5347,6851,6660,6805,6733,6873,6787,6622,6811,6369,6813,6201,4859,6330,5263,5243,7015,6123,5383,5860,7010,5729,7018,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179])).
% 82.63/82.56 cnf(7060,plain,
% 82.63/82.56 (P5(a16,a16,a16,a16)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6537,6818,6779,6765,5253,5807,6304,6572,6590,6614,6731,6735,6749,6771,6783,6844,6859,6892,5361,5993,5347,6851,6660,6805,6733,6873,6787,6622,6811,6369,6813,6201,4859,6330,5449,5263,5243,7015,6123,5269,5383,5860,7010,5729,7018,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240])).
% 82.63/82.56 cnf(7062,plain,
% 82.63/82.56 (P3(f24(a3,a2,a3,a2,a3,a3),a3,a2)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6537,6818,6779,6765,5253,5807,6304,6572,6590,6614,6731,6735,6749,6771,6783,6844,6859,6892,5361,5993,5347,6851,6660,6805,6733,6873,6787,6622,6811,6369,6813,6201,4859,6330,5449,5263,5243,7015,6123,5269,5383,5860,7010,5729,7018,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200])).
% 82.63/82.56 cnf(7064,plain,
% 82.63/82.56 (P9(a1,a1,a16,a16)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6537,6818,6779,6765,5253,5807,6304,6572,6590,6614,6731,6735,6749,6771,6783,6844,6857,6859,6892,5361,5993,5347,6851,6660,6805,6733,6873,6787,6622,6811,6369,6813,6201,4859,6330,5449,5263,5243,7015,6123,5269,5383,5860,7010,5729,7018,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178])).
% 82.63/82.56 cnf(7066,plain,
% 82.63/82.56 (P9(a16,a16,a2,a16)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6304,6572,6590,6614,6731,6735,6749,6771,6783,6844,6857,6859,6892,5361,5993,5347,6851,6660,6805,6733,6873,6787,6622,6811,6369,6813,6201,5656,4859,6330,5449,5263,5243,7015,6123,5269,5383,5860,7010,5729,7018,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238])).
% 82.63/82.56 cnf(7069,plain,
% 82.63/82.56 (P1(f6(a2,a3,a2),a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6304,6572,6590,6614,6731,6735,6749,6771,6783,6844,6857,6859,6892,5361,5993,5347,6851,6660,6805,6733,6873,6787,6622,6811,6369,6813,6201,5656,4859,6330,5449,5263,5243,7015,6123,5269,5383,5860,7010,5729,7018,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175])).
% 82.63/82.56 cnf(7076,plain,
% 82.63/82.56 (P1(f5(a2,a3,a2),a2,a3)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6304,6572,6590,6614,6731,6735,6749,6771,6783,6844,6857,6859,6892,5361,5993,5347,6851,6660,6805,6733,6873,6787,6622,6811,6369,6813,6201,5656,4859,6330,5449,5263,5243,7015,6123,5269,5383,5860,7010,7021,5729,7018,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174])).
% 82.63/82.56 cnf(7078,plain,
% 82.63/82.56 (P9(f13(a3,a2,a2,a16,a16),a3,a16,a16)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6304,6572,6590,6614,6731,6735,6749,6771,6783,6844,6857,6859,6892,5361,5993,5347,6851,6660,6805,6733,6873,6787,6622,6811,6369,6813,6201,5656,4859,6330,5449,5263,5243,7015,6123,5269,5383,5860,7010,7021,5729,7018,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195])).
% 82.63/82.56 cnf(7080,plain,
% 82.63/82.56 (P10(a3,a1,a17,a17)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6844,6857,6859,6892,5361,5993,5347,6851,6660,6805,6733,6873,6787,6622,6811,6369,6813,6201,5656,4859,6330,5449,5263,5243,7015,6123,5269,5383,5860,7010,7021,5729,7018,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176])).
% 82.63/82.56 cnf(7082,plain,
% 82.63/82.56 (P4(a2,a2,f22(a3,a2,a2,a2),a2)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6622,6811,6369,6813,6201,5656,4859,6330,5449,5263,5243,7015,6123,5269,5383,5860,7010,7021,5872,5729,7018,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233])).
% 82.63/82.56 cnf(7087,plain,
% 82.63/82.56 (P10(a3,a2,a17,a3)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6622,6811,6886,6369,6813,6201,5656,5983,4859,6330,5449,5263,5243,7015,6123,5269,5383,5860,7010,7021,5872,5729,7018,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177])).
% 82.63/82.56 cnf(7089,plain,
% 82.63/82.56 (P4(a16,a16,a16,a16)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6622,6811,6886,6369,6813,6201,5656,5983,4859,6330,5449,5263,5243,7015,6123,5269,5383,5860,7010,7021,5872,5729,7018,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193])).
% 82.63/82.56 cnf(7098,plain,
% 82.63/82.56 (P1(f27(a3,a2,a2,a3,a2,a3),a3,a2)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6164,6622,6811,6886,6369,6813,6201,5656,5983,4859,6330,6357,5652,5449,5263,5074,5243,7015,6123,4965,5269,5840,5383,5860,7010,7021,5872,5729,7018,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193,189,206,203,205])).
% 82.63/82.56 cnf(7102,plain,
% 82.63/82.56 (P3(f20(a16,x71021),a16,x71021)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6164,6622,6811,6886,6369,6813,6201,5656,5983,4859,6330,6357,5652,5449,5263,5074,5243,7015,6123,4965,5269,5840,4611,5383,5860,7010,7021,5872,5729,7018,4607,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193,189,206,203,205,204,156])).
% 82.63/82.56 cnf(7104,plain,
% 82.63/82.56 (P10(a3,a3,a3,a17)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6164,6622,6811,6886,6369,6813,6201,5656,5983,4859,6330,6357,5652,5449,5263,5074,5243,7015,6123,4965,5269,5840,4611,5383,5860,7010,7021,5872,5729,7018,4607,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193,189,206,203,205,204,156,3465])).
% 82.63/82.56 cnf(7106,plain,
% 82.63/82.56 (P9(a2,a2,a16,a2)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6164,6622,6811,6886,6369,6813,6201,5656,5983,4859,6330,6357,5652,5449,5263,5074,5243,7015,6123,4965,5269,5840,4611,5383,5860,7010,7021,5872,5729,7018,4607,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193,189,206,203,205,204,156,3465,3866])).
% 82.63/82.56 cnf(7107,plain,
% 82.63/82.56 (P9(a2,a16,a17,a17)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6164,6622,6811,6886,6369,6813,6201,5656,5983,4859,6330,6357,5652,5449,5263,5074,5243,7015,6123,4965,5269,5840,4611,5383,5860,7010,7021,5872,5729,7018,4607,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193,189,206,203,205,204,156,3465,3866,3882])).
% 82.63/82.56 cnf(7108,plain,
% 82.63/82.56 (P10(a1,a3,a19,a19)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6164,6622,6811,6886,6369,6813,6201,5656,5983,4859,6330,6357,5652,5449,5263,5074,5243,7015,6123,4965,5269,5840,4611,5383,5860,7010,7021,5872,5729,7018,4607,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193,189,206,203,205,204,156,3465,3866,3882,3962])).
% 82.63/82.56 cnf(7109,plain,
% 82.63/82.56 (P10(a1,a3,a16,a16)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6164,6622,6811,6886,6369,6813,6201,5656,5983,4859,6330,6357,5652,5449,5263,5074,5243,7015,6123,4965,5269,5840,4611,5383,5860,7010,7021,5872,5729,7018,4607,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193,189,206,203,205,204,156,3465,3866,3882,3962,526])).
% 82.63/82.56 cnf(7111,plain,
% 82.63/82.56 (P10(a1,a3,a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6164,6622,6811,6886,6369,6813,6201,5656,5983,4859,6330,6357,5652,5449,5263,5074,5243,7015,6123,4965,5269,5840,4611,5383,5860,7010,7021,5872,5729,7018,4607,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193,189,206,203,205,204,156,3465,3866,3882,3962,526,621])).
% 82.63/82.56 cnf(7113,plain,
% 82.63/82.56 (P10(a1,a3,a3,a3)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6164,6622,6811,6886,6369,6813,6201,5656,5983,4859,6330,6357,5652,5449,5263,5074,5243,7015,6123,4965,5269,5840,4611,5383,5860,7010,7021,5872,5729,7018,4607,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193,189,206,203,205,204,156,3465,3866,3882,3962,526,621,1298])).
% 82.63/82.56 cnf(7115,plain,
% 82.63/82.56 (P9(a17,a17,a16,a2)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6164,6622,6811,6886,6369,6813,6201,5656,5983,4859,6330,6357,5652,5449,5263,5074,5243,7015,6123,4965,5269,5840,4611,5383,5860,7010,7021,5872,5729,7018,4607,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193,189,206,203,205,204,156,3465,3866,3882,3962,526,621,1298,473])).
% 82.63/82.56 cnf(7117,plain,
% 82.63/82.56 (P9(a18,a18,a2,a16)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6164,6622,6811,6886,6369,6813,6201,5656,5983,4859,6330,6357,5652,5449,5263,5074,5243,7015,6123,4965,5269,5840,4611,5383,5860,7010,7021,5872,5729,7018,4607,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193,189,206,203,205,204,156,3465,3866,3882,3962,526,621,1298,473,3049])).
% 82.63/82.56 cnf(7119,plain,
% 82.63/82.56 (P9(a2,a2,a2,a16)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6164,6622,6811,6886,6369,6813,6201,5656,5983,4859,6330,6357,5652,5449,5263,5074,5243,7015,6123,4965,5269,5840,4611,5383,5860,7010,7021,5872,5729,7018,4607,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193,189,206,203,205,204,156,3465,3866,3882,3962,526,621,1298,473,3049,1238])).
% 82.63/82.56 cnf(7121,plain,
% 82.63/82.56 (P9(a19,a19,a1,a1)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6164,6622,6811,6886,6369,6813,6201,5656,5983,4859,6330,6357,5652,5449,5263,5074,5243,7015,6123,4965,5269,5840,4611,5383,5860,7010,7021,5872,5729,7018,4607,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193,189,206,203,205,204,156,3465,3866,3882,3962,526,621,1298,473,3049,1238,586])).
% 82.63/82.56 cnf(7125,plain,
% 82.63/82.56 (P9(a3,a3,a16,a2)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6164,6622,6811,6886,6369,6813,6201,5656,5983,4859,6330,6357,5652,5449,5263,5074,5243,7015,6123,4965,5269,5840,4611,5383,5860,7010,7021,5872,5729,7018,4607,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193,189,206,203,205,204,156,3465,3866,3882,3962,526,621,1298,473,3049,1238,586,3064,535])).
% 82.63/82.56 cnf(7127,plain,
% 82.63/82.56 (P9(a17,a17,a1,a1)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6164,6622,6811,6886,6369,6813,6201,5656,5983,4859,6330,6357,5652,5449,5263,5074,5243,7015,6123,4965,5269,5840,4611,5383,5860,7010,7021,5872,5729,7018,4607,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193,189,206,203,205,204,156,3465,3866,3882,3962,526,621,1298,473,3049,1238,586,3064,535,1590])).
% 82.63/82.56 cnf(7129,plain,
% 82.63/82.56 (P9(a16,a16,a16,a2)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6164,6622,6811,6886,6369,6813,6201,5656,5983,4859,6330,6357,5652,5449,5263,5074,5243,7015,6123,4965,5269,5840,4611,5383,5860,7010,7021,5872,5729,7018,4607,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193,189,206,203,205,204,156,3465,3866,3882,3962,526,621,1298,473,3049,1238,586,3064,535,1590,440])).
% 82.63/82.56 cnf(7137,plain,
% 82.63/82.56 (P7(a2,a16,a16,a2,a2,a16,a16,a2)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6164,6622,6811,6886,6369,6813,6201,5656,5983,4859,6330,6357,5652,5449,5263,5074,5243,7015,6123,4965,5269,5840,4611,5383,5860,7010,7021,5872,5729,7018,4607,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193,189,206,203,205,204,156,3465,3866,3882,3962,526,621,1298,473,3049,1238,586,3064,535,1590,440,540,476,3059,781])).
% 82.63/82.56 cnf(7141,plain,
% 82.63/82.56 (P8(a19,a19,a19,a19,a2,a2,a3,a17)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6164,6622,6811,6886,6369,6813,6201,5656,5983,4859,6330,6357,5652,5449,5263,5074,5243,7015,6123,4965,5269,5840,4611,5383,5860,7010,7021,5872,5729,7018,4607,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193,189,206,203,205,204,156,3465,3866,3882,3962,526,621,1298,473,3049,1238,586,3064,535,1590,440,540,476,3059,781,544,4634])).
% 82.63/82.56 cnf(7147,plain,
% 82.63/82.56 (P5(a2,a2,a2,a16)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6164,6622,6811,6886,6369,6813,5177,6201,5656,5983,4859,6330,6357,5652,5449,5263,5074,5243,7015,6123,410,4965,5269,5840,6707,4611,4943,5383,5860,7010,7021,5872,5729,7018,4607,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193,189,206,203,205,204,156,3465,3866,3882,3962,526,621,1298,473,3049,1238,586,3064,535,1590,440,540,476,3059,781,544,4634,184,231,248])).
% 82.63/82.56 cnf(7149,plain,
% 82.63/82.56 (P5(a16,a18,a16,a18)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6164,6622,6811,6886,6369,6813,5177,6201,5656,5983,4859,6330,6357,5652,5449,5263,5074,5243,7015,6123,410,4965,5269,5840,6707,4611,4943,5383,5860,7010,7021,5872,5729,7018,4607,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193,189,206,203,205,204,156,3465,3866,3882,3962,526,621,1298,473,3049,1238,586,3064,535,1590,440,540,476,3059,781,544,4634,184,231,248,2240])).
% 82.63/82.56 cnf(7150,plain,
% 82.63/82.56 (P9(a2,a16,a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6164,6622,6811,6886,6369,6813,5177,6201,5656,5983,4859,6330,6357,5652,5449,5263,5074,5243,7015,6123,410,4965,5269,5840,6707,4611,4943,5383,5860,7010,7021,5872,5729,7018,4607,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193,189,206,203,205,204,156,3465,3866,3882,3962,526,621,1298,473,3049,1238,586,3064,535,1590,440,540,476,3059,781,544,4634,184,231,248,2240,2776])).
% 82.63/82.56 cnf(7152,plain,
% 82.63/82.56 (P1(a16,a2,f23(a2,a16,a2,a2))),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6164,6622,6811,6886,6369,6813,5177,6201,5656,5983,4859,6330,6357,5652,5449,5263,5074,5243,7015,6123,410,4965,5269,5840,6707,4611,4943,5383,5860,7010,7021,5872,5729,7018,4607,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193,189,206,203,205,204,156,3465,3866,3882,3962,526,621,1298,473,3049,1238,586,3064,535,1590,440,540,476,3059,781,544,4634,184,231,248,2240,2776,3978,6910])).
% 82.63/82.56 cnf(7153,plain,
% 82.63/82.56 (P8(a3,a2,a2,a3,a3,a3,a3,a3)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6164,6622,6811,6886,6369,6813,5177,6201,5656,5983,4859,6330,6357,5652,5449,5263,5074,5243,7015,6123,410,4965,5269,5840,6707,4611,4943,5383,5860,7010,7021,5872,5729,7018,4607,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193,189,206,203,205,204,156,3465,3866,3882,3962,526,621,1298,473,3049,1238,586,3064,535,1590,440,540,476,3059,781,544,4634,184,231,248,2240,2776,3978,6910,5796])).
% 82.63/82.56 cnf(7155,plain,
% 82.63/82.56 (P10(a2,a2,a16,a2)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6164,6622,6811,6886,6369,6813,5177,6201,5656,5983,4859,6330,6357,5652,5449,5263,5074,5243,7015,6123,410,4965,5269,5840,6707,4611,4943,5383,5860,7010,7021,5872,5729,7018,4607,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193,189,206,203,205,204,156,3465,3866,3882,3962,526,621,1298,473,3049,1238,586,3064,535,1590,440,540,476,3059,781,544,4634,184,231,248,2240,2776,3978,6910,5796,4089])).
% 82.63/82.56 cnf(7157,plain,
% 82.63/82.56 (P10(a3,a3,a16,a2)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6164,6622,6811,6886,6369,6813,5177,6201,5656,5983,4859,6330,6357,5652,5449,5263,5074,5243,7015,6123,410,4965,5269,5840,6707,4611,4943,5383,5860,7010,7021,5872,5729,7018,4607,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193,189,206,203,205,204,156,3465,3866,3882,3962,526,621,1298,473,3049,1238,586,3064,535,1590,440,540,476,3059,781,544,4634,184,231,248,2240,2776,3978,6910,5796,4089,4091])).
% 82.63/82.56 cnf(7159,plain,
% 82.63/82.56 (~P4(a19,a18,a1,x71591)+~E(x71591,a17)),
% 82.63/82.56 inference(scs_inference,[],[6884,6900,6289,5926,6544,6902,6537,6818,6779,6765,5253,5807,6049,6304,6572,6590,6614,6731,6735,6749,6771,6783,6803,6844,6857,6859,6892,5361,5993,5347,6701,6851,6660,6805,6733,6873,6787,6164,6622,6811,6886,6369,6813,5177,6201,5656,5983,4859,6330,6357,5652,5449,5263,5074,5243,7015,6123,410,4965,5269,5840,6707,4611,4943,5383,5860,7010,7021,5872,5729,7018,4607,6216,4331,4327,4251,350,785,4061,160,255,4645,1583,151,256,1601,150,1340,161,1606,153,511,250,249,149,222,254,253,157,252,165,221,148,162,164,442,167,163,223,251,166,793,168,245,181,243,185,244,202,220,246,173,247,186,242,194,237,187,197,201,170,191,198,179,188,240,200,178,238,175,196,190,174,195,176,233,224,177,193,189,206,203,205,204,156,3465,3866,3882,3962,526,621,1298,473,3049,1238,586,3064,535,1590,440,540,476,3059,781,544,4634,184,231,248,2240,2776,3978,6910,5796,4089,4091,113])).
% 82.63/82.56 cnf(7163,plain,
% 82.63/82.56 (P9(a17,a17,f13(a3,a2,a2,a16,a16),a3)),
% 82.63/82.56 inference(scs_inference,[],[7078,586,1590])).
% 82.63/82.56 cnf(7168,plain,
% 82.63/82.56 (P7(a16,a2,a16,a2,a2,a16,a16,a2)),
% 82.63/82.56 inference(scs_inference,[],[7137,7078,6137,586,1590,4327,255])).
% 82.63/82.56 cnf(7170,plain,
% 82.63/82.56 (P10(a19,f6(a18,a19,a18),a17,a17)),
% 82.63/82.56 inference(scs_inference,[],[7137,7078,6829,6137,586,1590,4327,255,4251])).
% 82.63/82.56 cnf(7172,plain,
% 82.63/82.56 (P10(a2,a2,a1,a3)),
% 82.63/82.56 inference(scs_inference,[],[7137,7111,7078,6829,6137,586,1590,4327,255,4251,160])).
% 82.63/82.56 cnf(7174,plain,
% 82.63/82.56 (P10(a18,f6(a3,a18,a3),a17,a17)),
% 82.63/82.56 inference(scs_inference,[],[7137,7111,7078,6403,6829,6137,586,1590,4327,255,4251,160,4061])).
% 82.63/82.56 cnf(7184,plain,
% 82.63/82.56 (P10(a3,a1,a3,a3)),
% 82.63/82.56 inference(scs_inference,[],[7137,7111,6763,7080,6684,7078,6403,6829,6175,6137,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583])).
% 82.63/82.56 cnf(7188,plain,
% 82.63/82.56 (P10(a3,a1,a16,a16)),
% 82.63/82.56 inference(scs_inference,[],[7137,7111,6763,7080,6684,7076,7078,6403,6829,6175,6137,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601])).
% 82.63/82.56 cnf(7190,plain,
% 82.63/82.56 (P7(a2,a16,a2,a16,a16,a2,a16,a2)),
% 82.63/82.56 inference(scs_inference,[],[7137,7111,6763,7080,6684,7076,7078,6403,6829,6175,6137,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256])).
% 82.63/82.56 cnf(7194,plain,
% 82.63/82.56 (P8(x71941,x71942,a3,a17,x71941,x71942,a19,a19)),
% 82.63/82.56 inference(scs_inference,[],[7137,7111,6763,6967,6472,7080,6684,7076,7078,6403,6829,6175,6137,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249])).
% 82.63/82.56 cnf(7196,plain,
% 82.63/82.56 (P1(a2,a2,a16)),
% 82.63/82.56 inference(scs_inference,[],[7137,7111,6763,6979,6967,6472,7080,6684,7076,7078,6403,6829,6175,6137,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149])).
% 82.63/82.56 cnf(7202,plain,
% 82.63/82.56 (P8(x72021,x72022,a18,a18,x72021,x72022,a3,a17)),
% 82.63/82.56 inference(scs_inference,[],[7137,6117,7111,6763,6979,6967,6973,6472,7080,6684,7076,7078,6403,6829,6175,6137,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250])).
% 82.63/82.56 cnf(7206,plain,
% 82.63/82.56 (P1(a17,f5(a17,a3,a3),a17)),
% 82.63/82.56 inference(scs_inference,[],[7137,6117,7111,6763,6979,6967,6973,6472,7080,6684,7076,7078,6403,6829,6175,6306,6137,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157])).
% 82.63/82.56 cnf(7216,plain,
% 82.63/82.56 (P10(a3,a1,a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[7137,6117,7111,6763,7147,6979,6967,6973,5809,6472,6795,7080,6684,7076,7078,6403,6829,6175,6306,6137,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442])).
% 82.63/82.56 cnf(7218,plain,
% 82.63/82.56 (P4(a2,f22(a3,a2,a2,a2),a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[7137,6117,7111,6763,7147,6979,6967,6973,5809,6472,6795,7080,6684,7076,7082,7078,6403,6829,6175,6306,6137,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167])).
% 82.63/82.56 cnf(7220,plain,
% 82.63/82.56 (P9(a16,a2,a17,a17)),
% 82.63/82.56 inference(scs_inference,[],[7115,7137,6117,7111,6763,7147,6979,6967,6973,5809,6472,6795,7080,6684,7076,7082,7078,6403,6829,6175,6306,6137,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162])).
% 82.63/82.56 cnf(7222,plain,
% 82.63/82.56 (P9(a3,a17,a16,a2)),
% 82.63/82.56 inference(scs_inference,[],[7115,7137,6117,7111,6763,7056,7147,6979,6967,6973,5809,6472,6795,7080,6684,7076,7082,7078,6403,6829,6175,6306,6137,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163])).
% 82.63/82.56 cnf(7224,plain,
% 82.63/82.56 (P1(a16,a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[7115,7137,6117,7111,6763,7056,7147,6979,6967,6973,5809,6472,6795,7080,6684,7076,7082,7078,6403,6829,6175,6306,6137,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148])).
% 82.63/82.56 cnf(7226,plain,
% 82.63/82.56 (P5(a2,a16,a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[7115,7137,6117,7111,6763,7056,7147,6979,6967,6973,5809,6472,6795,7080,6684,7076,7082,7078,6403,6829,6175,6306,6137,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164])).
% 82.63/82.56 cnf(7228,plain,
% 82.63/82.56 (P8(a3,a3,a3,a2,a3,a2,a3,a2)),
% 82.63/82.56 inference(scs_inference,[],[7115,7137,6117,7111,6763,6963,7056,7147,6979,6967,6973,5809,6472,6795,7080,6684,7076,7082,7078,6403,6829,6175,6306,6137,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164,223])).
% 82.63/82.56 cnf(7234,plain,
% 82.63/82.56 (P8(x72341,x72342,a19,a19,x72342,x72341,a3,a17)),
% 82.63/82.56 inference(scs_inference,[],[7115,7137,6117,7111,6763,6963,7056,7147,6979,6967,6973,5809,6472,6795,7080,6684,7098,7076,7082,6995,7078,6403,6829,6175,6306,6137,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164,223,166,793,251])).
% 82.63/82.56 cnf(7239,plain,
% 82.63/82.56 (P9(x72391,x72392,x72391,x72392)),
% 82.63/82.56 inference(rename_variables,[],[5860])).
% 82.63/82.56 cnf(7249,plain,
% 82.63/82.56 (P1(f22(a3,a2,a3,a2),a3,a2)),
% 82.63/82.56 inference(scs_inference,[],[7066,7119,7115,7137,6117,7111,6763,6963,7056,7147,6979,6967,6973,5809,6472,6795,7080,6684,7098,7076,7082,6995,7078,6403,6829,6175,6818,6306,6771,6137,5860,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164,223,166,793,251,168,243,181,185,173,186,246])).
% 82.63/82.56 cnf(7251,plain,
% 82.63/82.56 (P1(a2,a3,f22(a3,a2,a3,a2))),
% 82.63/82.56 inference(scs_inference,[],[7066,7119,7115,7137,6117,7111,6763,6963,7056,7147,6979,6967,6973,5809,6472,6795,7080,6684,7098,7076,7082,6995,7078,6403,6829,6175,6818,6306,6771,6137,5860,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164,223,166,793,251,168,243,181,185,173,186,246,242])).
% 82.63/82.56 cnf(7255,plain,
% 82.63/82.56 (P1(f23(a2,a16,a2,a2),a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[7066,7119,7115,7137,6117,7111,6763,6963,7056,7147,6979,6967,6973,5809,6472,6795,7080,6684,7098,7076,7082,6995,7078,6403,6829,6175,6818,6306,6707,6771,6137,5860,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164,223,166,793,251,168,243,181,185,173,186,246,242,220,247])).
% 82.63/82.56 cnf(7277,plain,
% 82.63/82.56 (P9(a17,a3,a17,a17)),
% 82.63/82.56 inference(scs_inference,[],[7066,7119,7115,7137,6117,7111,7129,6763,6963,7056,7147,7149,6979,6967,6973,5690,5809,6472,6795,7080,7089,6684,7098,7076,6832,7082,6995,7078,6403,6829,6175,5991,6428,6818,6306,6707,6771,6137,5860,7239,5191,143,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164,223,166,793,251,168,243,181,185,173,186,246,242,220,247,237,187,197,194,170,201,188,191,198,238])).
% 82.63/82.56 cnf(7279,plain,
% 82.63/82.56 (P3(f24(a2,a2,a2,a2,a17,a17),a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[7066,7119,7115,7137,6117,7111,7129,6763,6963,7056,7147,7149,6979,6967,6973,5690,5809,6472,6795,7080,7089,6684,7098,7076,6832,7082,6995,7078,6403,6829,6175,5991,6428,6818,6306,5972,6707,6771,6137,5860,7239,5191,143,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164,223,166,793,251,168,243,181,185,173,186,246,242,220,247,237,187,197,194,170,201,188,191,198,238,200])).
% 82.63/82.56 cnf(7285,plain,
% 82.63/82.56 (P5(a2,a17,a2,a17)),
% 82.63/82.56 inference(scs_inference,[],[7066,7119,7115,7137,6117,7111,7129,6763,6963,7056,7147,7149,6979,6967,6973,5690,5809,6472,6795,6951,7080,7089,6684,6667,7098,7076,6832,7082,6995,7078,6403,6829,6175,5991,6428,6818,6306,5972,6707,6771,6137,5860,7239,4839,5191,143,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164,223,166,793,251,168,243,181,185,173,186,246,242,220,247,237,187,197,194,170,201,188,191,198,238,200,196,178,240])).
% 82.63/82.56 cnf(7291,plain,
% 82.63/82.56 (P1(f5(a16,a2,a16),a16,a2)),
% 82.63/82.56 inference(scs_inference,[],[7066,7119,7115,7137,6117,7111,7129,6763,6963,7056,7147,7149,6979,6967,6973,5690,5809,6472,6795,6951,7080,7089,6684,6667,7098,7076,6832,7082,6995,7078,6403,6829,6175,5991,6428,6818,6306,5972,6707,6771,6137,5860,7239,4839,5191,143,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164,223,166,793,251,168,243,181,185,173,186,246,242,220,247,237,187,197,194,170,201,188,191,198,238,200,196,178,240,190,175,174])).
% 82.63/82.56 cnf(7295,plain,
% 82.63/82.56 (P4(a2,f15(a2,a3,a3,a2),a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[7066,7119,7115,7137,6117,7111,7129,6763,6963,7056,7147,7149,6979,6967,6973,5690,5809,6472,6795,6951,7080,7089,6684,6667,6148,7098,7076,6832,7082,6995,7078,6403,6829,6175,5991,6428,6818,6306,5972,6707,6771,6137,5860,7239,4839,5191,2521,143,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164,223,166,793,251,168,243,181,185,173,186,246,242,220,247,237,187,197,194,170,201,188,191,198,238,200,196,178,240,190,175,174,195,233])).
% 82.63/82.56 cnf(7300,plain,
% 82.63/82.56 (P9(a2,a2,a2,a17)),
% 82.63/82.56 inference(scs_inference,[],[7066,7119,7115,7137,6117,7111,7129,6763,6963,7056,7147,7149,6979,6967,6973,5690,5809,6472,6795,6951,7080,7089,6684,6667,6148,7098,7076,6832,7082,6995,7078,6403,6829,5720,6175,5991,6614,6428,6818,6306,5972,6707,6771,6137,5860,7239,4839,5191,5158,2521,143,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164,223,166,793,251,168,243,181,185,173,186,246,242,220,247,237,187,197,194,170,201,188,191,198,238,200,196,178,240,190,175,174,195,233,224,192])).
% 82.63/82.56 cnf(7302,plain,
% 82.63/82.56 (P3(f7(a16,a16,a2),a16,a2)),
% 82.63/82.56 inference(scs_inference,[],[7066,7119,7115,7137,6117,7111,7129,6763,6963,7056,7147,7149,7150,6979,6967,6973,5690,5809,6472,6795,6951,7080,7089,6684,7102,6667,6148,7098,7076,6832,7082,6995,7078,6403,6829,5720,6175,5991,6614,6428,6818,6306,5972,6707,6771,6137,5860,7239,4839,5191,5158,2521,143,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164,223,166,793,251,168,243,181,185,173,186,246,242,220,247,237,187,197,194,170,201,188,191,198,238,200,196,178,240,190,175,174,195,233,224,192,183])).
% 82.63/82.56 cnf(7303,plain,
% 82.63/82.56 (P3(f20(a16,x73031),a16,x73031)),
% 82.63/82.56 inference(rename_variables,[],[7102])).
% 82.63/82.56 cnf(7305,plain,
% 82.63/82.56 (P2(f10(a2,a2,a16),a2,a2,a16)),
% 82.63/82.56 inference(scs_inference,[],[7066,7119,7115,7137,6117,7111,7129,6763,6963,7056,7147,7149,7150,6979,6967,6973,5690,5809,6472,6795,6951,7080,7089,7155,6684,7102,6667,6148,7098,7076,6832,7082,6995,7078,6403,6829,5720,5527,6175,5991,6614,6428,6818,6306,5175,5972,6707,6771,6137,5860,7239,4839,5191,5158,2521,143,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164,223,166,793,251,168,243,181,185,173,186,246,242,220,247,237,187,197,194,170,201,188,191,198,238,200,196,178,240,190,175,174,195,233,224,192,183,189])).
% 82.63/82.56 cnf(7310,plain,
% 82.63/82.56 (P10(x73101,x73101,a2,a2)),
% 82.63/82.56 inference(rename_variables,[],[5644])).
% 82.63/82.56 cnf(7311,plain,
% 82.63/82.56 (P10(x73111,x73111,a17,a17)),
% 82.63/82.56 inference(rename_variables,[],[6864])).
% 82.63/82.56 cnf(7319,plain,
% 82.63/82.56 (P3(f20(a1,x73191),a1,x73191)),
% 82.63/82.56 inference(scs_inference,[],[142,7066,7119,7115,7137,6117,7111,7129,6763,6963,7056,7147,7149,7150,6979,6864,7311,6967,6973,5690,5809,6472,6795,6935,6951,7080,7089,7155,6684,7102,7303,6667,6148,7098,7076,6832,7082,6995,7078,6403,6829,5720,5527,6175,5991,5644,7310,6614,6428,4827,6818,5052,6306,5175,5972,6707,6771,6137,6564,5860,7239,5634,4839,5191,5158,2521,143,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164,223,166,793,251,168,243,181,185,173,186,246,242,220,247,237,187,197,194,170,201,188,191,198,238,200,196,178,240,190,175,174,195,233,224,192,183,189,203,206,205,204,156])).
% 82.63/82.56 cnf(7320,plain,
% 82.63/82.56 (P3(f20(a16,x73201),a16,x73201)),
% 82.63/82.56 inference(rename_variables,[],[7102])).
% 82.63/82.56 cnf(7323,plain,
% 82.63/82.56 (P9(a17,a17,a2,a17)),
% 82.63/82.56 inference(scs_inference,[],[142,7066,7119,7115,7137,6117,7111,7129,6763,6963,7056,7147,7149,7150,6979,6864,7311,6967,6973,5690,5809,6472,6795,6935,6951,7080,7089,7155,6684,7102,7303,6667,6148,7098,7076,6832,7082,6995,7078,6403,6829,5720,5527,6175,5991,5644,7310,6614,6428,4827,6818,5052,6306,5175,5972,6707,6771,6137,6564,5860,7239,5634,4839,5191,5158,2521,143,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164,223,166,793,251,168,243,181,185,173,186,246,242,220,247,237,187,197,194,170,201,188,191,198,238,200,196,178,240,190,175,174,195,233,224,192,183,189,203,206,205,204,156,473])).
% 82.63/82.56 cnf(7325,plain,
% 82.63/82.56 (P9(a18,a18,a2,a17)),
% 82.63/82.56 inference(scs_inference,[],[142,7066,7119,7115,7137,6117,7111,7129,6763,6963,7056,7147,7149,7150,6979,6864,7311,6967,6973,5690,5809,6472,6795,6935,6951,7080,7089,7155,6684,7102,7303,6667,6148,7098,7076,6832,7082,6995,7078,6403,6829,5720,5527,6175,5991,5644,7310,6614,6428,4827,6818,5052,6306,5175,5972,6707,6771,6137,6564,5860,7239,5634,4839,5191,5158,2521,143,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164,223,166,793,251,168,243,181,185,173,186,246,242,220,247,237,187,197,194,170,201,188,191,198,238,200,196,178,240,190,175,174,195,233,224,192,183,189,203,206,205,204,156,473,509])).
% 82.63/82.56 cnf(7327,plain,
% 82.63/82.56 (P9(a18,a18,a17,a2)),
% 82.63/82.56 inference(scs_inference,[],[142,7066,7119,7115,7137,6117,7111,7129,6763,6963,7056,7147,7149,7150,6979,6864,7311,6967,6973,5690,5809,6472,6795,6935,6951,7080,7089,7155,6684,7102,7303,6667,6148,7098,7076,6832,7082,6995,7078,6403,6829,5720,5527,6175,5991,5644,7310,6614,6428,4827,6818,5052,6306,5175,5972,6707,6771,6137,6564,5860,7239,5634,4839,5191,5158,2521,143,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164,223,166,793,251,168,243,181,185,173,186,246,242,220,247,237,187,197,194,170,201,188,191,198,238,200,196,178,240,190,175,174,195,233,224,192,183,189,203,206,205,204,156,473,509,513])).
% 82.63/82.56 cnf(7329,plain,
% 82.63/82.56 (P10(a2,a17,a2,a17)),
% 82.63/82.56 inference(scs_inference,[],[142,7066,7119,7115,7137,6117,7111,7129,6763,6963,7056,7147,7149,7150,6979,6864,7311,6967,6973,5690,5809,6472,6795,6935,6951,7080,7089,7155,6684,7102,7303,6667,6148,7098,7076,6832,7082,6995,7078,6403,6829,5720,5527,6175,5991,5644,7310,6614,6428,4827,6818,5052,6306,5175,5972,6707,6771,6137,6564,5860,7239,5634,4839,5191,5158,2521,143,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164,223,166,793,251,168,243,181,185,173,186,246,242,220,247,237,187,197,194,170,201,188,191,198,238,200,196,178,240,190,175,174,195,233,224,192,183,189,203,206,205,204,156,473,509,513,230])).
% 82.63/82.56 cnf(7331,plain,
% 82.63/82.56 (P9(a3,a3,a2,a17)),
% 82.63/82.56 inference(scs_inference,[],[142,7066,7119,7115,7137,6117,7111,7129,6763,6963,7056,7147,7149,7150,6979,6864,7311,6967,6973,5690,5809,6472,6795,6935,6951,7080,7089,7155,6684,7102,7303,6667,6148,7098,7076,6832,7082,6995,7078,6403,6829,5720,5527,6175,5991,5644,7310,6614,6428,4827,6818,5052,6306,5175,5972,6707,6771,6137,6564,5860,7239,5634,4839,5191,5158,2521,143,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164,223,166,793,251,168,243,181,185,173,186,246,242,220,247,237,187,197,194,170,201,188,191,198,238,200,196,178,240,190,175,174,195,233,224,192,183,189,203,206,205,204,156,473,509,513,230,535])).
% 82.63/82.56 cnf(7333,plain,
% 82.63/82.56 (P9(a16,a16,a2,a17)),
% 82.63/82.56 inference(scs_inference,[],[142,7066,7119,7115,7137,6117,7111,7129,6763,6963,7056,7147,7149,7150,6979,6864,7311,6967,6973,5690,5809,6472,6795,6935,6951,7080,7089,7155,6684,7102,7303,6667,6148,7098,7076,6832,7082,6995,7078,6403,6829,5720,5527,6175,5991,5644,7310,6614,6428,4827,6818,5052,6306,5175,5972,6707,6771,6137,6564,5860,7239,5634,4839,5191,5158,2521,143,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164,223,166,793,251,168,243,181,185,173,186,246,242,220,247,237,187,197,194,170,201,188,191,198,238,200,196,178,240,190,175,174,195,233,224,192,183,189,203,206,205,204,156,473,509,513,230,535,440])).
% 82.63/82.56 cnf(7339,plain,
% 82.63/82.56 (P8(a19,a19,a3,a17,a2,a2,a19,a19)),
% 82.63/82.56 inference(scs_inference,[],[142,7066,7119,7115,7137,6117,7111,7129,6763,6963,7056,7147,7149,7150,6979,6864,7311,6967,6973,5690,5809,6472,6795,6935,6951,7080,7089,7155,6684,7102,7303,6667,6148,7098,7076,6832,7082,6995,7078,6403,6829,5720,5527,6175,5991,5644,7310,6614,6428,4827,6818,5052,6306,5175,5972,6707,6771,6137,6564,5860,7239,5634,4839,5191,5158,2521,143,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164,223,166,793,251,168,243,181,185,173,186,246,242,220,247,237,187,197,194,170,201,188,191,198,238,200,196,178,240,190,175,174,195,233,224,192,183,189,203,206,205,204,156,473,509,513,230,535,440,544,781,4634])).
% 82.63/82.56 cnf(7341,plain,
% 82.63/82.56 (P9(f8(a3,a2,a2,a3),a3,a3,a3)),
% 82.63/82.56 inference(scs_inference,[],[142,7066,7119,7115,7137,6117,7111,7129,6763,6963,7056,7147,7149,7150,6979,6864,7311,6967,6973,5690,5809,6472,6795,6935,6951,7080,7089,7155,6684,7102,7303,6667,6148,7098,7076,6832,7082,6995,7078,6403,6829,5720,5527,6175,5991,5644,7310,6614,6428,4827,6818,5052,6306,5175,5972,6707,6771,6137,6564,5860,7239,5634,4839,5191,5158,2521,143,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164,223,166,793,251,168,243,181,185,173,186,246,242,220,247,237,187,197,194,170,201,188,191,198,238,200,196,178,240,190,175,174,195,233,224,192,183,189,203,206,205,204,156,473,509,513,230,535,440,544,781,4634,184])).
% 82.63/82.56 cnf(7347,plain,
% 82.63/82.56 (P9(f9(a2,a2,a3),a2,a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[142,7066,7119,7115,7137,6117,7111,5565,7129,6763,6963,7056,7147,7149,7150,6979,6864,7311,6967,6973,5472,5690,5809,6472,6795,6935,6951,7080,7089,7155,6684,7102,7303,6667,6148,7098,7076,6832,7082,6995,7078,6403,6829,5720,5527,5854,6175,5991,5644,7310,6614,6428,4827,5062,6818,5052,6306,5175,5972,6707,6771,6137,6564,5860,7239,5634,4839,5191,5158,2521,143,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164,223,166,793,251,168,243,181,185,173,186,246,242,220,247,237,187,197,194,170,201,188,191,198,238,200,196,178,240,190,175,174,195,233,224,192,183,189,203,206,205,204,156,473,509,513,230,535,440,544,781,4634,184,260,217,239])).
% 82.63/82.56 cnf(7355,plain,
% 82.63/82.56 (P9(a19,a19,a2,a17)),
% 82.63/82.56 inference(scs_inference,[],[142,7066,7119,7115,7137,6117,7111,5565,7129,6763,6963,7056,7147,7149,7150,6979,6864,7311,6967,6973,5472,5690,5809,6472,6795,6935,6951,7080,7089,7155,6684,7102,7303,7320,6667,6148,7098,7076,6832,7082,6995,7078,6403,6829,5720,5527,5854,6175,5991,5644,7310,5080,6614,6428,4827,5062,6818,5052,6306,5175,5972,6707,6771,6137,6564,5860,7239,5634,4839,5191,5158,2521,143,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164,223,166,793,251,168,243,181,185,173,186,246,242,220,247,237,187,197,194,170,201,188,191,198,238,200,196,178,240,190,175,174,195,233,224,192,183,189,203,206,205,204,156,473,509,513,230,535,440,544,781,4634,184,260,217,239,155,245,244,582])).
% 82.63/82.56 cnf(7357,plain,
% 82.63/82.56 (P9(a19,a19,a17,a2)),
% 82.63/82.56 inference(scs_inference,[],[142,7066,7119,7115,7137,6117,7111,5565,7129,6763,6963,7056,7147,7149,7150,6979,6864,7311,6967,6973,5472,5690,5809,6472,6795,6935,6951,7080,7089,7155,6684,7102,7303,7320,6667,6148,7098,7076,6832,7082,6995,7078,6403,6829,5720,5527,5854,6175,5991,5644,7310,5080,6614,6428,4827,5062,6818,5052,6306,5175,5972,6707,6771,6137,6564,5860,7239,5634,4839,5191,5158,2521,143,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164,223,166,793,251,168,243,181,185,173,186,246,242,220,247,237,187,197,194,170,201,188,191,198,238,200,196,178,240,190,175,174,195,233,224,192,183,189,203,206,205,204,156,473,509,513,230,535,440,544,781,4634,184,260,217,239,155,245,244,582,588])).
% 82.63/82.56 cnf(7361,plain,
% 82.63/82.56 (P9(a17,a17,a17,a2)),
% 82.63/82.56 inference(scs_inference,[],[142,7066,7119,7115,7137,6117,7111,5565,7129,6763,6963,7056,7147,7149,7150,6979,6864,7311,6967,6973,5472,5690,5809,6472,6795,6935,6951,7080,7089,7155,6684,7102,7303,7320,6667,6148,7098,7076,6832,7082,6995,7078,6403,6829,5720,5527,5854,6175,5991,5644,7310,5080,6614,6428,4827,5062,6818,5052,6306,5175,5972,6707,6771,6137,6564,5860,7239,5634,4839,5191,5158,2521,143,586,1590,4327,255,4251,160,4061,151,150,4645,1606,1583,1340,1601,256,161,249,149,222,153,250,254,157,165,253,221,252,442,167,162,163,148,164,223,166,793,251,168,243,181,185,173,186,246,242,220,247,237,187,197,194,170,201,188,191,198,238,200,196,178,240,190,175,174,195,233,224,192,183,189,203,206,205,204,156,473,509,513,230,535,440,544,781,4634,184,260,217,239,155,245,244,582,588,4331,1592])).
% 82.63/82.56 cnf(7370,plain,
% 82.63/82.56 (P10(a3,a3,a3,a2)),
% 82.63/82.56 inference(scs_inference,[],[7228,230])).
% 82.63/82.56 cnf(7372,plain,
% 82.63/82.56 (P10(a16,a16,a1,a3)),
% 82.63/82.56 inference(scs_inference,[],[7109,7228,230,160])).
% 82.63/82.56 cnf(7374,plain,
% 82.63/82.56 (P7(a2,a17,a2,a17,a17,a2,a2,a17)),
% 82.63/82.56 inference(scs_inference,[],[7109,6975,7228,230,160,255])).
% 82.63/82.56 cnf(7378,plain,
% 82.63/82.56 (P10(f8(a3,a2,a2,a3),a3,a17,a17)),
% 82.63/82.56 inference(scs_inference,[],[7109,6975,7228,7291,7341,230,160,255,781,4061])).
% 82.63/82.56 cnf(7385,plain,
% 82.63/82.56 (P3(f20(a1,x73851),x73851,a1)),
% 82.63/82.56 inference(scs_inference,[],[7109,6975,7228,7319,7291,7341,6137,230,160,255,781,4061,1606,150,151])).
% 82.63/82.56 cnf(7390,plain,
% 82.63/82.56 (P10(a3,a3,a17,a3)),
% 82.63/82.56 inference(scs_inference,[],[7109,6975,7104,7202,7228,7319,7291,7341,6137,230,160,255,781,4061,1606,150,151,4634,161])).
% 82.63/82.56 cnf(7394,plain,
% 82.63/82.56 (P8(a18,a18,a3,a17,a2,a2,a19,a19)),
% 82.63/82.56 inference(scs_inference,[],[7109,6975,7104,7194,7202,7228,7319,7291,6726,7341,6137,230,160,255,781,4061,1606,150,151,4634,161,1583,4645])).
% 82.63/82.56 cnf(7395,plain,
% 82.63/82.56 (P8(x73951,x73952,a3,a17,x73951,x73952,a19,a19)),
% 82.63/82.56 inference(rename_variables,[],[7194])).
% 82.63/82.56 cnf(7397,plain,
% 82.63/82.56 (P7(a17,a17,a17,a17,a17,a2,a17,a2)),
% 82.63/82.56 inference(scs_inference,[],[6937,7109,6975,7104,7194,7202,7228,7319,7291,6726,7341,6137,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256])).
% 82.63/82.56 cnf(7403,plain,
% 82.63/82.56 (P5(a16,a1,a2,a1)),
% 82.63/82.56 inference(scs_inference,[],[6937,7109,6975,7104,7141,7194,7202,6991,7228,7152,7319,7291,6726,7341,6137,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165])).
% 82.63/82.56 cnf(7409,plain,
% 82.63/82.56 (P5(f20(a1,x74091),a1,f20(a1,x74091),x74091)),
% 82.63/82.56 inference(scs_inference,[],[6937,7109,6975,7104,7141,7194,7202,6991,7228,7152,7319,7291,6726,7341,6137,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153])).
% 82.63/82.56 cnf(7411,plain,
% 82.63/82.56 (P8(a19,a19,a2,a2,a19,a19,a3,a17)),
% 82.63/82.56 inference(scs_inference,[],[6937,7109,6975,7104,7141,7194,7202,6991,7228,7152,7319,7291,6726,7341,6137,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153,252])).
% 82.63/82.56 cnf(7413,plain,
% 82.63/82.56 (P8(a1,a3,x74131,x74132,a16,a16,x74131,x74132)),
% 82.63/82.56 inference(scs_inference,[],[6937,7109,6975,7104,7141,7194,7202,6991,7228,7152,7319,7291,6726,7341,6137,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153,252,222])).
% 82.63/82.56 cnf(7415,plain,
% 82.63/82.56 (P7(a17,a2,a17,a2,a3,a17,a3,a17)),
% 82.63/82.56 inference(scs_inference,[],[6937,7109,6975,7104,7141,7194,7202,6025,6991,7228,7152,7319,7291,6726,7341,6137,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153,252,222,253])).
% 82.63/82.56 cnf(7423,plain,
% 82.63/82.56 (P1(a3,a1,a3)),
% 82.63/82.56 inference(scs_inference,[],[6937,7109,6975,7104,7141,7194,7202,6025,6991,7184,7228,7152,7319,7291,6083,6726,7341,6137,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153,252,222,253,221,254,442,157])).
% 82.63/82.56 cnf(7427,plain,
% 82.63/82.56 (P9(a2,a17,a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[6937,7109,6975,7104,7141,7300,7194,7202,6025,6991,7184,7228,7152,7319,7291,6083,6726,7341,6137,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153,252,222,253,221,254,442,157,148,162])).
% 82.63/82.56 cnf(7431,plain,
% 82.63/82.56 (P4(a2,a2,f15(a2,a3,a3,a2),a2)),
% 82.63/82.56 inference(scs_inference,[],[6937,7109,6975,7104,7141,7300,7285,7194,7202,6025,6991,7184,7228,7152,7319,7291,6083,7295,6726,7341,6137,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153,252,222,253,221,254,442,157,148,162,223,167])).
% 82.63/82.56 cnf(7435,plain,
% 82.63/82.56 (P9(a2,a2,a17,a2)),
% 82.63/82.56 inference(scs_inference,[],[6937,7109,6975,7104,7141,7300,7285,7194,7202,6025,6775,6991,7184,7228,7152,7319,7291,6083,7295,6726,7341,6137,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153,252,222,253,221,254,442,157,148,162,223,167,164,163])).
% 82.63/82.56 cnf(7441,plain,
% 82.63/82.56 (P8(x74411,x74412,a3,a17,x74412,x74411,a19,a19)),
% 82.63/82.56 inference(scs_inference,[],[6937,7109,6975,7104,7141,7300,7285,7194,7395,7202,6025,6775,6991,7184,7228,7152,7032,7319,7291,6083,7295,6726,7341,6137,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153,252,222,253,221,254,442,157,148,162,223,167,164,163,793,166,251])).
% 82.63/82.56 cnf(7443,plain,
% 82.63/82.56 (P4(a2,a2,a2,f20(a2,a2))),
% 82.63/82.56 inference(scs_inference,[],[6937,7109,6975,7104,7141,7300,7285,7194,7395,7202,6025,6775,6991,7184,7228,7152,7032,7319,7291,6083,7295,6726,7341,6150,6137,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153,252,222,253,221,254,442,157,148,162,223,167,164,163,793,166,251,168])).
% 82.63/82.56 cnf(7446,plain,
% 82.63/82.56 (P9(x74461,x74462,x74461,x74462)),
% 82.63/82.56 inference(rename_variables,[],[5860])).
% 82.63/82.56 cnf(7451,plain,
% 82.63/82.56 (P9(x74511,x74512,x74512,x74511)),
% 82.63/82.56 inference(rename_variables,[],[5729])).
% 82.63/82.56 cnf(7460,plain,
% 82.63/82.56 (P1(f23(a3,a2,a3,a2),a3,a2)),
% 82.63/82.56 inference(scs_inference,[],[6937,7109,6975,7104,7141,7300,7285,7194,7395,7202,6025,6775,6991,7184,7228,7361,7152,7032,7319,7291,6083,7295,6726,7341,6150,6137,5860,7446,5729,7451,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153,252,222,253,221,254,442,157,148,162,223,167,164,163,793,166,251,168,243,181,173,245,185,244,247])).
% 82.63/82.56 cnf(7461,plain,
% 82.63/82.56 (P9(x74611,x74612,x74611,x74612)),
% 82.63/82.56 inference(rename_variables,[],[5860])).
% 82.63/82.56 cnf(7468,plain,
% 82.63/82.56 (P9(a16,f6(a2,a16,a2),a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[7106,6937,7109,6975,7104,7141,7300,7285,7194,7395,7202,6025,6775,6991,7184,7228,7361,7152,7032,7319,7291,6083,7295,6726,7341,6150,5070,6137,5860,7446,6653,5729,7451,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153,252,222,253,221,254,442,157,148,162,223,167,164,163,793,166,251,168,243,181,173,245,185,244,247,186,237,187])).
% 82.63/82.56 cnf(7470,plain,
% 82.63/82.56 (P1(f22(a2,a16,a2,a2),a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[7106,6937,7109,6975,7104,7141,7300,7285,7194,7395,7202,6025,6775,6991,7184,7228,7361,7152,7032,7319,7291,6083,7295,6726,7341,6150,5070,6707,6137,5860,7446,7147,6653,5729,7451,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153,252,222,253,221,254,442,157,148,162,223,167,164,163,793,166,251,168,243,181,173,245,185,244,247,186,237,187,246])).
% 82.63/82.56 cnf(7476,plain,
% 82.63/82.56 (P3(a2,a2,a16)),
% 82.63/82.56 inference(scs_inference,[],[7106,6937,7109,6975,7104,7141,7300,7285,7196,7194,7395,7202,6025,6775,6991,7184,7228,7361,7152,7032,7319,7291,6083,7295,6726,7341,6150,5070,6707,6137,5860,7446,7147,6653,5729,7451,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153,252,222,253,221,254,442,157,148,162,223,167,164,163,793,166,251,168,243,181,173,245,185,244,247,186,237,187,246,242,220,158])).
% 82.63/82.56 cnf(7478,plain,
% 82.63/82.56 (P5(a2,a2,a2,a3)),
% 82.63/82.56 inference(scs_inference,[],[7106,6937,7109,6975,7104,7141,7300,7285,7196,7194,7395,7202,6025,6775,6991,7184,7228,7361,7152,7032,7319,7291,6083,7295,6726,7341,6150,5070,6707,6137,5860,7446,7461,7147,6653,5729,7451,6682,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153,252,222,253,221,254,442,157,148,162,223,167,164,163,793,166,251,168,243,181,173,245,185,244,247,186,237,187,246,242,220,158,170])).
% 82.63/82.56 cnf(7487,plain,
% 82.63/82.56 (P9(a3,a17,a2,a17)),
% 82.63/82.56 inference(scs_inference,[],[7106,6937,7109,6975,7104,7141,7300,7285,7196,7194,7395,7202,6025,6775,6991,7107,7184,7228,7361,7152,7032,7319,7291,6083,7295,6726,7341,6150,6061,5070,6707,6137,5860,7446,7461,7147,6653,5729,7451,6682,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153,252,222,253,221,254,442,157,148,162,223,167,164,163,793,166,251,168,243,181,173,245,185,244,247,186,237,187,246,242,220,158,170,197,194,191,238])).
% 82.63/82.56 cnf(7494,plain,
% 82.63/82.56 (P5(a2,a16,a2,a16)),
% 82.63/82.56 inference(scs_inference,[],[7106,6937,7109,6975,7104,7141,7300,7285,7196,7194,7395,7202,6025,6775,6991,7107,7184,7190,7228,7361,7152,7032,7319,7291,6083,7295,6726,7341,6600,6150,6061,5070,6707,6137,5860,7446,7461,7147,6653,5729,7451,6682,6844,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153,252,222,253,221,254,442,157,148,162,223,167,164,163,793,166,251,168,243,181,173,245,185,244,247,186,237,187,246,242,220,158,170,197,194,191,238,201,188,240])).
% 82.63/82.56 cnf(7496,plain,
% 82.63/82.56 (P10(f26(a17,a17,a17,a17,a2),a17,a17,a17)),
% 82.63/82.56 inference(scs_inference,[],[7106,6937,7109,6975,7104,7141,7300,7285,7196,7194,7395,7202,6025,6775,6991,7107,7184,7190,7228,7361,7152,7032,7319,7291,6083,7295,6726,7341,6600,6150,6061,5070,6707,6137,5860,7446,7461,7147,6653,5729,7451,6682,6844,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153,252,222,253,221,254,442,157,148,162,223,167,164,163,793,166,251,168,243,181,173,245,185,244,247,186,237,187,246,242,220,158,170,197,194,191,238,201,188,240,198])).
% 82.63/82.56 cnf(7500,plain,
% 82.63/82.56 (P3(f24(a3,a16,a3,a16,a19,a19),a3,a16)),
% 82.63/82.56 inference(scs_inference,[],[7106,6937,7109,6975,7104,7141,7300,7285,7196,7194,7395,7202,6025,6775,6991,7107,7184,7190,7228,7361,7152,7032,7319,7291,6083,7295,6726,7341,6600,6150,6061,5070,6707,6137,5860,7446,7461,7147,6653,5729,7451,6682,6844,145,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153,252,222,253,221,254,442,157,148,162,223,167,164,163,793,166,251,168,243,181,173,245,185,244,247,186,237,187,246,242,220,158,170,197,194,191,238,201,188,240,198,175,200])).
% 82.63/82.56 cnf(7516,plain,
% 82.63/82.56 (P3(f7(a17,a3,a17),a17,a17)),
% 82.63/82.56 inference(scs_inference,[],[7106,6937,7109,6975,7104,7141,7300,5852,7285,7196,7194,7395,7202,6025,6775,6991,7012,7107,7184,7190,7228,7277,7361,7152,5586,7032,7319,6041,7062,7291,6083,7295,6726,6475,7341,6600,6150,6061,5070,6707,6137,5860,7446,7461,7147,6653,5729,7451,6682,6844,145,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153,252,222,253,221,254,442,157,148,162,223,167,164,163,793,166,251,168,243,181,173,245,185,244,247,186,237,187,246,242,220,158,170,197,194,191,238,201,188,240,198,175,200,178,196,190,180,174,195,224,183])).
% 82.63/82.56 cnf(7520,plain,
% 82.63/82.56 (P10(x75201,x75201,a16,a16)),
% 82.63/82.56 inference(rename_variables,[],[5652])).
% 82.63/82.56 cnf(7526,plain,
% 82.63/82.56 (P1(f27(a3,a3,a3,a17,a3,a17),a17,a3)),
% 82.63/82.56 inference(scs_inference,[],[142,7106,6937,7109,6975,7104,7141,7300,5852,7285,7196,7194,7395,7202,6025,6775,6991,7012,7107,7184,7190,7224,7228,7277,7361,7152,5586,7032,7319,6041,7062,7291,6083,7295,6726,6475,7341,6600,7089,7102,6150,6061,4997,6330,5652,5070,6707,6137,5666,5860,7446,7461,7147,6653,5729,7451,6682,6844,5958,145,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153,252,222,253,221,254,442,157,148,162,223,167,164,163,793,166,251,168,243,181,173,245,185,244,247,186,237,187,246,242,220,158,170,197,194,191,238,201,188,240,198,175,200,178,196,190,180,174,195,224,183,189,206,203,205])).
% 82.63/82.56 cnf(7528,plain,
% 82.63/82.56 (P1(f14(a2,a2,a2,a2,a16,a16),a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[142,7106,6937,7109,6975,7104,7141,7300,5852,7285,7196,7194,7395,7202,6025,6775,6991,7012,7107,7184,7190,7224,7228,7277,7361,7152,5586,7032,7319,6041,7062,7291,6083,7295,6726,6475,7341,6600,7089,7102,6150,6061,4997,6330,5644,5652,5070,6707,6137,5666,5860,7446,7461,7147,6653,5729,7451,6682,6844,5958,145,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153,252,222,253,221,254,442,157,148,162,223,167,164,163,793,166,251,168,243,181,173,245,185,244,247,186,237,187,246,242,220,158,170,197,194,191,238,201,188,240,198,175,200,178,196,190,180,174,195,224,183,189,206,203,205,204])).
% 82.63/82.56 cnf(7533,plain,
% 82.63/82.56 (P9(a3,a3,a17,a2)),
% 82.63/82.56 inference(scs_inference,[],[142,7106,6937,7109,6975,7104,7141,7300,5852,7285,7196,7194,7395,7202,6025,6775,6991,7012,7107,7184,7190,7224,7228,7277,7361,7152,5586,7032,7319,6041,7062,7291,6083,7295,6726,6475,7341,6600,7089,7102,6150,6061,4997,6330,5644,5652,5070,6707,6137,5666,5860,7446,7461,7147,6653,5729,7451,6682,6844,5958,145,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153,252,222,253,221,254,442,157,148,162,223,167,164,163,793,166,251,168,243,181,173,245,185,244,247,186,237,187,246,242,220,158,170,197,194,191,238,201,188,240,198,175,200,178,196,190,180,174,195,224,183,189,206,203,205,204,4331,535])).
% 82.63/82.56 cnf(7535,plain,
% 82.63/82.56 (P9(a16,a16,a17,a2)),
% 82.63/82.56 inference(scs_inference,[],[142,7106,6937,7109,6975,7104,7141,7300,5852,7285,7196,7194,7395,7202,6025,6775,6991,7012,7107,7184,7190,7224,7228,7277,7361,7152,5586,7032,7319,6041,7062,7291,6083,7295,6726,6475,7341,6600,7089,7102,6150,6061,4997,6330,5644,5652,5070,6707,6137,5666,5860,7446,7461,7147,6653,5729,7451,6682,6844,5958,145,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153,252,222,253,221,254,442,157,148,162,223,167,164,163,793,166,251,168,243,181,173,245,185,244,247,186,237,187,246,242,220,158,170,197,194,191,238,201,188,240,198,175,200,178,196,190,180,174,195,224,183,189,206,203,205,204,4331,535,440])).
% 82.63/82.56 cnf(7543,plain,
% 82.63/82.56 (P9(f8(a17,a17,a17,a2),a17,a17,a2)),
% 82.63/82.56 inference(scs_inference,[],[142,7106,6937,7109,6975,7104,7141,7300,5852,7285,7196,7194,7395,7202,6025,6775,6991,7012,7107,7184,7190,7224,7228,7277,7361,7152,5586,7032,7319,6041,7062,7291,6083,7295,6726,6475,7341,6600,7089,7102,6150,6061,4997,6330,5644,5652,5070,6707,6137,5666,5860,7446,7461,7147,6653,5729,7451,6682,6844,5958,145,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153,252,222,253,221,254,442,157,148,162,223,167,164,163,793,166,251,168,243,181,173,245,185,244,247,186,237,187,246,242,220,158,170,197,194,191,238,201,188,240,198,175,200,178,196,190,180,174,195,224,183,189,206,203,205,204,4331,535,440,4327,785,511,184])).
% 82.63/82.56 cnf(7549,plain,
% 82.63/82.56 (P4(a2,f23(a2,a2,a3,a2),a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[142,7106,6937,7109,6975,7104,7141,7300,5852,7285,7196,7194,7395,7202,6025,6775,6991,7012,7107,7184,7190,7224,7228,7277,7361,7152,5586,7032,7014,7319,6041,7062,7291,6083,7295,6879,6726,6475,7341,6600,7089,7102,6150,6061,4997,6330,5644,5652,5070,6707,6137,5666,5860,7446,7461,7147,6653,5729,7451,6682,6844,5958,2521,145,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153,252,222,253,221,254,442,157,148,162,223,167,164,163,793,166,251,168,243,181,173,245,185,244,247,186,237,187,246,242,220,158,170,197,194,191,238,201,188,240,198,175,200,178,196,190,180,174,195,224,183,189,206,203,205,204,4331,535,440,4327,785,511,184,231,202,233])).
% 82.63/82.56 cnf(7557,plain,
% 82.63/82.56 (P4(a2,a2,f15(a2,a2,a2,a2),f15(a2,a2,a2,a2))),
% 82.63/82.56 inference(scs_inference,[],[142,7106,6937,7109,6975,7104,7141,7300,5852,7285,7196,7194,7395,7202,6025,6775,6991,7012,7107,7184,7190,7224,7228,7277,7361,7152,5586,7032,7014,7319,6041,7062,7291,6083,7295,6879,6726,6475,7341,6600,7089,7102,6150,6061,4997,6330,5644,5652,7520,5070,6707,6137,5666,5625,5860,7446,7461,7147,6653,5729,7451,6682,6844,5958,2521,145,230,160,255,781,4061,1606,150,151,4634,161,1583,4645,256,249,149,165,1601,250,153,252,222,253,221,254,442,157,148,162,223,167,164,163,793,166,251,168,243,181,173,245,185,244,247,186,237,187,246,242,220,158,170,197,194,191,238,201,188,240,198,175,200,178,196,190,180,174,195,224,183,189,206,203,205,204,4331,535,440,4327,785,511,184,231,202,233,172,225,182])).
% 82.63/82.56 cnf(7561,plain,
% 82.63/82.56 (P7(a2,a16,a1,a16,a16,a2,a1,a16)),
% 82.63/82.56 inference(scs_inference,[],[5050,255])).
% 82.63/82.56 cnf(7565,plain,
% 82.63/82.56 (P10(a2,a2,a3,a1)),
% 82.63/82.56 inference(scs_inference,[],[7216,5050,7526,255,1606,160])).
% 82.63/82.56 cnf(7567,plain,
% 82.63/82.56 (P1(f20(a1,x75671),x75671,a1)),
% 82.63/82.56 inference(scs_inference,[],[7216,5050,7385,7526,255,1606,160,150])).
% 82.63/82.56 cnf(7571,plain,
% 82.63/82.56 (P3(a2,a16,a2)),
% 82.63/82.56 inference(scs_inference,[],[7216,5050,7476,6933,7385,7526,255,1606,160,150,1583,151])).
% 82.63/82.56 cnf(7577,plain,
% 82.63/82.56 (P1(a3,a3,a1)),
% 82.63/82.56 inference(scs_inference,[],[7216,5050,7494,7411,7423,7476,6933,7385,7526,255,1606,160,150,1583,151,4634,165,149])).
% 82.63/82.56 cnf(7579,plain,
% 82.63/82.56 (P10(a3,a3,a2,a16)),
% 82.63/82.56 inference(scs_inference,[],[7157,7216,5050,7494,7411,7423,7476,6933,7385,7526,255,1606,160,150,1583,151,4634,165,149,161])).
% 82.63/82.56 cnf(7581,plain,
% 82.63/82.56 (P7(a2,a2,a2,a2,a2,a3,a2,a3)),
% 82.63/82.56 inference(scs_inference,[],[6300,7157,7216,5050,7494,7411,7423,7476,6933,7385,7526,255,1606,160,150,1583,151,4634,165,149,161,256])).
% 82.63/82.56 cnf(7585,plain,
% 82.63/82.56 (P8(a3,a17,a19,a19,a19,a19,a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[6300,7157,7216,5050,7339,7494,7411,7423,7476,6933,7385,7526,255,1606,160,150,1583,151,4634,165,149,161,256,1601,250])).
% 82.63/82.56 cnf(7591,plain,
% 82.63/82.56 (P8(a3,a3,x75911,x75912,a16,a2,x75911,x75912)),
% 82.63/82.56 inference(scs_inference,[],[6300,7157,7216,5050,7339,7494,7411,7423,7476,6933,7385,7526,255,1606,160,150,1583,151,4634,165,149,161,256,1601,250,249,254,222])).
% 82.63/82.56 cnf(7593,plain,
% 82.63/82.56 (P1(a1,a3,a3)),
% 82.63/82.56 inference(scs_inference,[],[6300,7157,7216,5050,7339,7494,7411,7423,7476,6933,7385,7526,255,1606,160,150,1583,151,4634,165,149,161,256,1601,250,249,254,222,148])).
% 82.63/82.56 cnf(7597,plain,
% 82.63/82.56 (P1(a2,a17,a17)),
% 82.63/82.56 inference(scs_inference,[],[6300,7157,7216,5050,7339,7329,7494,7411,7423,7476,6933,7385,7526,7468,255,1606,160,150,1583,151,4634,165,149,161,256,1601,250,249,254,222,148,511,157])).
% 82.63/82.56 cnf(7601,plain,
% 82.63/82.56 (P9(a2,a17,a18,a18)),
% 82.63/82.56 inference(scs_inference,[],[7325,6300,7157,7216,5050,7339,7329,7494,7411,7423,7476,6933,7385,7526,7468,255,1606,160,150,1583,151,4634,165,149,161,256,1601,250,249,254,222,148,511,157,252,162])).
% 82.63/82.56 cnf(7611,plain,
% 82.63/82.56 (P9(a2,a3,a17,a3)),
% 82.63/82.56 inference(scs_inference,[],[7325,6300,7157,7216,5050,7339,7329,7494,6033,6848,7411,7423,7476,6933,6359,7385,7526,7468,255,1606,160,150,1583,151,4634,165,149,161,256,1601,250,249,254,222,148,511,157,252,162,153,442,253,221,163])).
% 82.63/82.56 cnf(7613,plain,
% 82.63/82.56 (P4(a2,f15(a2,a2,a2,a2),a2,f15(a2,a2,a2,a2))),
% 82.63/82.56 inference(scs_inference,[],[7325,6300,7157,7216,5050,7339,7329,7494,6033,6848,7411,7423,7476,6933,6359,7385,7557,7526,7468,255,1606,160,150,1583,151,4634,165,149,161,256,1601,250,249,254,222,148,511,157,252,162,153,442,253,221,163,167])).
% 82.63/82.56 cnf(7617,plain,
% 82.63/82.56 (P5(a2,a1,a16,a1)),
% 82.63/82.56 inference(scs_inference,[],[7325,6300,7157,7216,5050,7339,7329,7494,6033,6848,7403,7411,7423,7476,6933,6359,7385,7557,7526,7468,255,1606,160,150,1583,151,4634,165,149,161,256,1601,250,249,254,222,148,511,157,252,162,153,442,253,221,163,167,223,164])).
% 82.63/82.56 cnf(7623,plain,
% 82.63/82.56 (P8(a3,a1,x76231,x76232,a16,a16,x76231,x76232)),
% 82.63/82.56 inference(scs_inference,[],[7325,6300,7157,7216,5050,7339,7329,7494,7413,6033,6848,7403,7411,7423,7476,6933,6359,7020,7385,7557,7526,7218,7468,255,1606,160,150,1583,151,4634,165,149,161,256,1601,250,249,254,222,148,511,157,252,162,153,442,253,221,163,167,223,164,166,793,251])).
% 82.63/82.56 cnf(7625,plain,
% 82.63/82.56 (P4(a2,a2,a2,f15(a2,a3,a3,a2))),
% 82.63/82.56 inference(scs_inference,[],[7325,6300,7157,7216,5050,7339,7329,7494,7413,6033,6848,7403,7411,7423,7476,6933,6359,7020,7385,7557,7526,7431,7218,7468,255,1606,160,150,1583,151,4634,165,149,161,256,1601,250,249,254,222,148,511,157,252,162,153,442,253,221,163,167,223,164,166,793,251,168])).
% 82.63/82.56 cnf(7628,plain,
% 82.63/82.56 (P9(x76281,x76282,x76281,x76282)),
% 82.63/82.56 inference(rename_variables,[],[5860])).
% 82.63/82.56 cnf(7639,plain,
% 82.63/82.56 (P2(a2,a16,a16,a16)),
% 82.63/82.56 inference(scs_inference,[],[7325,6300,7157,7216,5050,7339,7329,7494,7413,6033,6848,7403,7411,7423,7476,6933,6359,7020,7385,7557,7526,7431,7218,7468,7060,7129,5860,7628,255,1606,160,150,1583,151,4634,165,149,161,256,1601,250,249,254,222,148,511,157,252,162,153,442,253,221,163,167,223,164,166,793,251,168,173,202,245,185,244,181])).
% 82.63/82.56 cnf(7641,plain,
% 82.63/82.56 (P7(f20(a1,x76411),x76411,x76411,a1,a2,a2,a2,a16)),
% 82.63/82.56 inference(scs_inference,[],[7325,6300,7157,7216,5050,7339,7329,7494,7413,6033,6848,7403,7411,7423,7476,6933,6359,7020,7385,7557,7526,7431,7218,7468,7060,7129,5860,7628,255,1606,160,150,1583,151,4634,165,149,161,256,1601,250,249,254,222,148,511,157,252,162,153,442,253,221,163,167,223,164,166,793,251,168,173,202,245,185,244,181,220])).
% 82.63/82.56 cnf(7644,plain,
% 82.63/82.56 (P9(x76441,x76442,x76442,x76441)),
% 82.63/82.56 inference(rename_variables,[],[5729])).
% 82.63/82.56 cnf(7647,plain,
% 82.63/82.56 (P9(x76471,x76472,x76472,x76471)),
% 82.63/82.56 inference(rename_variables,[],[5729])).
% 82.63/82.56 cnf(7649,plain,
% 82.63/82.56 (P10(a1,a3,a2,a3)),
% 82.63/82.56 inference(scs_inference,[],[7325,6300,7157,7216,7121,6959,5050,7339,7329,7494,7413,6033,6848,7403,7411,7423,7476,6933,6359,7020,7385,7557,7526,7431,7218,7468,7060,7129,5860,7628,5729,7644,255,1606,160,150,1583,151,4634,165,149,161,256,1601,250,249,254,222,148,511,157,252,162,153,442,253,221,163,167,223,164,166,793,251,168,173,202,245,185,244,181,220,186,187,237])).
% 82.63/82.56 cnf(7650,plain,
% 82.63/82.56 (P8(a1,a3,x76501,x76502,a16,a16,x76501,x76502)),
% 82.63/82.56 inference(rename_variables,[],[7413])).
% 82.63/82.56 cnf(7655,plain,
% 82.63/82.56 (P9(x76551,x76552,x76552,x76551)),
% 82.63/82.56 inference(rename_variables,[],[5729])).
% 82.63/82.56 cnf(7657,plain,
% 82.63/82.56 (P5(f9(a2,a2,a3),a2,f9(a2,a2,a3),a2)),
% 82.63/82.56 inference(scs_inference,[],[7325,6300,7157,7216,7121,6959,5050,7339,7329,7494,7413,6033,6848,7403,7411,7423,7476,6933,6359,7020,7385,7557,7526,7431,7347,7218,7468,7060,4981,7129,5860,7628,5729,7644,7647,5332,255,1606,160,150,1583,151,4634,165,149,161,256,1601,250,249,254,222,148,511,157,252,162,153,442,253,221,163,167,223,164,166,793,251,168,173,202,245,185,244,181,220,186,187,237,197,188,170])).
% 82.63/82.56 cnf(7659,plain,
% 82.63/82.56 (P9(a1,a3,a17,a2)),
% 82.63/82.56 inference(scs_inference,[],[7325,6300,7157,7216,7121,6959,5050,7339,7329,7494,7535,7413,7650,6033,6848,7403,7411,7423,7476,6933,6359,7020,7385,7557,7526,7431,7347,7218,7468,7060,4981,7129,5860,7628,5729,7644,7647,5332,255,1606,160,150,1583,151,4634,165,149,161,256,1601,250,249,254,222,148,511,157,252,162,153,442,253,221,163,167,223,164,166,793,251,168,173,202,245,185,244,181,220,186,187,237,197,188,170,238])).
% 82.63/82.56 cnf(7664,plain,
% 82.63/82.56 (P3(f24(a2,a16,a2,a16,a2,a2),a2,a16)),
% 82.63/82.56 inference(scs_inference,[],[7325,6300,7157,7216,7121,6959,5050,7339,7329,7494,7535,7413,7650,6033,6848,7403,7411,7423,7476,6933,6359,7020,7385,7557,7526,7431,7347,7218,7468,7060,4981,7129,5860,7628,5729,7644,7647,5332,255,1606,160,150,1583,151,4634,165,149,161,256,1601,250,249,254,222,148,511,157,252,162,153,442,253,221,163,167,223,164,166,793,251,168,173,202,245,185,244,181,220,186,187,237,197,188,170,238,201,200])).
% 82.63/82.56 cnf(7672,plain,
% 82.63/82.56 (P5(a17,a17,a17,a17)),
% 82.63/82.56 inference(scs_inference,[],[6761,7325,6300,7157,7216,7121,6959,5050,7339,7329,7494,7535,7413,7650,6033,6848,7397,7403,7411,7423,7476,6933,6359,7020,7385,7557,7526,7431,7347,7218,7468,7060,4981,5975,4833,7129,4839,5860,7628,5729,7644,7647,5332,255,1606,160,150,1583,151,4634,165,149,161,256,1601,250,249,254,222,148,511,157,252,162,153,442,253,221,163,167,223,164,166,793,251,168,173,202,245,185,244,181,220,186,187,237,197,188,170,238,201,200,191,194,196,240])).
% 82.63/82.56 cnf(7676,plain,
% 82.63/82.56 (P9(a16,a2,a1,a1)),
% 82.63/82.56 inference(scs_inference,[],[6761,7325,6300,7157,7216,7121,6959,5050,7339,7329,7494,7535,7413,7650,6033,6848,7397,7403,7411,7423,7476,6933,6359,7020,7385,7557,7526,7431,7347,7218,7468,7060,4981,5975,4833,7129,4839,5860,7628,5729,7644,7647,5332,255,1606,160,150,1583,151,4634,165,149,161,256,1601,250,249,254,222,148,511,157,252,162,153,442,253,221,163,167,223,164,166,793,251,168,173,202,245,185,244,181,220,186,187,237,197,188,170,238,201,200,191,194,196,240,198,178])).
% 82.63/82.56 cnf(7681,plain,
% 82.63/82.56 (P9(x76811,x76812,x76812,x76811)),
% 82.63/82.56 inference(rename_variables,[],[5729])).
% 82.63/82.56 cnf(7688,plain,
% 82.63/82.56 (P4(a2,a2,f15(a2,a2,a2,a3),a2)),
% 82.63/82.56 inference(scs_inference,[],[6761,7325,6300,7157,7216,7121,6959,5050,7339,7329,7494,7535,7413,7650,6033,6848,7397,7403,7411,7423,7476,6933,6359,7020,6616,7385,7557,7526,7431,7347,7218,7468,7060,4981,5975,4833,7129,5872,4839,5860,7628,5729,7644,7647,7655,7681,5332,255,1606,160,150,1583,151,4634,165,149,161,256,1601,250,249,254,222,148,511,157,252,162,153,442,253,221,163,167,223,164,166,793,251,168,173,202,245,185,244,181,220,186,187,237,197,188,170,238,201,200,191,194,196,240,198,178,190,175,174,195,233])).
% 82.63/82.56 cnf(7693,plain,
% 82.63/82.56 (P3(a16,a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[6761,7325,6300,7157,7216,7121,6959,5050,7339,7329,7494,7535,7413,7650,6033,6848,7397,7403,7411,7423,7476,6933,6359,7020,6616,7385,7557,7526,7431,7347,7218,7468,7060,7305,5271,4981,7224,5975,4833,7129,5872,6707,4839,5860,7628,5729,7644,7647,7655,7681,5332,255,1606,160,150,1583,151,4634,165,149,161,256,1601,250,249,254,222,148,511,157,252,162,153,442,253,221,163,167,223,164,166,793,251,168,173,202,245,185,244,181,220,186,187,237,197,188,170,238,201,200,191,194,196,240,198,178,190,175,174,195,233,224,236])).
% 82.63/82.56 cnf(7695,plain,
% 82.63/82.56 (P3(a16,a2,a16)),
% 82.63/82.56 inference(scs_inference,[],[6761,7325,6300,7157,7216,7121,6959,5050,7339,7329,7494,7535,7413,7650,6033,6848,7397,7403,7411,7423,7476,6933,6359,7020,6616,7385,7557,7526,7431,7347,7218,7468,7060,7305,5271,6592,4981,6302,7224,5975,4833,7129,5872,6707,4839,5860,7628,5729,7644,7647,7655,7681,5332,255,1606,160,150,1583,151,4634,165,149,161,256,1601,250,249,254,222,148,511,157,252,162,153,442,253,221,163,167,223,164,166,793,251,168,173,202,245,185,244,181,220,186,187,237,197,188,170,238,201,200,191,194,196,240,198,178,190,175,174,195,233,224,236,159])).
% 82.63/82.56 cnf(7700,plain,
% 82.63/82.56 (P3(f7(a2,a17,a2),a2,a2)),
% 82.63/82.56 inference(scs_inference,[],[6761,7325,6300,7157,7216,7121,6959,5050,7339,7329,7494,7535,7413,7650,6033,6848,7397,7403,7411,7423,7427,7476,6933,6359,7020,6616,7385,7557,7526,7431,7347,7218,7516,7468,7060,7305,5271,6592,4981,6302,6077,7224,5975,4833,5447,7129,7300,5872,6707,5625,4839,5860,7628,5729,7644,7647,7655,7681,5332,255,1606,160,150,1583,151,4634,165,149,161,256,1601,250,249,254,222,148,511,157,252,162,153,442,253,221,163,167,223,164,166,793,251,168,173,202,245,185,244,181,220,186,187,237,197,188,170,238,201,200,191,194,196,240,198,178,190,175,174,195,233,224,236,159,189,183])).
% 82.63/82.56 cnf(7714,plain,
% 82.63/82.56 (P10(a2,a17,a17,a17)),
% 82.63/82.56 inference(scs_inference,[],[6761,7325,6300,7157,7216,7121,6959,5050,7339,7172,7329,7494,7535,7413,7650,6033,6848,7397,7403,7411,7423,7427,7476,6933,6359,7020,6616,7385,7557,7526,7431,7347,7218,7516,7468,7060,7305,5271,6592,6019,4981,6302,6077,7224,5975,4833,6779,5644,5652,5447,7129,614,7300,5872,6707,5625,4839,5860,7628,5729,7644,7647,7655,7681,6682,5332,255,1606,160,150,1583,151,4634,165,149,161,256,1601,250,249,254,222,148,511,157,252,162,153,442,253,221,163,167,223,164,166,793,251,168,173,202,245,185,244,181,220,186,187,237,197,188,170,238,201,200,191,194,196,240,198,178,190,175,174,195,233,224,236,159,189,183,203,206,205,204,350,4251])).
% 82.63/82.56 cnf(7722,plain,
% 82.63/82.56 (~P4(a16,a2,a18,a18)+P1(a2,a16,f23(a16,a2,a18,a18))),
% 82.63/82.56 inference(scs_inference,[],[6761,7325,6300,7157,7216,7121,6959,5050,7339,7172,7329,7494,7535,7413,7650,6033,6848,7397,7403,7411,7423,7427,7476,6933,6359,7020,6616,7385,7557,7526,7431,7347,7218,7516,7468,7060,7305,6392,5271,6592,6019,4981,6302,6077,7224,5975,4833,6779,5644,5652,5447,7129,614,7300,5872,6707,5625,4839,5860,7628,5729,7644,7647,7655,7681,6682,5332,255,1606,160,150,1583,151,4634,165,149,161,256,1601,250,249,254,222,148,511,157,252,162,153,442,253,221,163,167,223,164,166,793,251,168,173,202,245,185,244,181,220,186,187,237,197,188,170,238,201,200,191,194,196,240,198,178,190,175,174,195,233,224,236,159,189,183,203,206,205,204,350,4251,781,184,243,227])).
% 82.63/82.56 cnf(7737,plain,
% 82.63/82.56 (P7(a16,a1,a16,a16,a1,a16,a16,a16)),
% 82.63/82.56 inference(scs_inference,[],[5197,255])).
% 82.63/82.56 cnf(7739,plain,
% 82.63/82.56 (P10(a16,a16,a3,a1)),
% 82.63/82.56 inference(scs_inference,[],[7188,5197,255,160])).
% 82.63/82.56 cnf(7749,plain,
% 82.63/82.56 (P3(a16,a16,a2)),
% 82.63/82.56 inference(scs_inference,[],[7188,5197,7585,7695,7714,6693,7500,255,160,150,1583,4634,149,151])).
% 82.63/82.56 cnf(7751,plain,
% 82.63/82.56 (P10(a2,a17,a16,a16)),
% 82.63/82.56 inference(scs_inference,[],[7188,5197,7585,7695,7714,6693,7500,255,160,150,1583,4634,149,151,1601])).
% 82.63/82.56 cnf(7755,plain,
% 82.63/82.56 (P8(a16,a2,x77551,x77552,a3,a3,x77551,x77552)),
% 82.63/82.56 inference(scs_inference,[],[7188,5197,7478,7591,7585,7695,7714,6693,7500,255,160,150,1583,4634,149,151,1601,165,249])).
% 82.63/82.56 cnf(7757,plain,
% 82.63/82.56 (P7(a2,a2,a2,a2,a2,a17,a2,a17)),
% 82.63/82.56 inference(scs_inference,[],[6716,7188,5197,7478,7591,7585,7695,7714,6693,7500,255,160,150,1583,4634,149,151,1601,165,249,256])).
% 82.63/82.56 cnf(7759,plain,
% 82.63/82.56 (P10(a17,a17,a2,a16)),
% 82.63/82.56 inference(scs_inference,[],[6716,7188,5197,7478,7591,6941,7585,7695,7714,6693,7500,255,160,150,1583,4634,149,151,1601,165,249,256,161])).
% 82.63/82.57 cnf(7763,plain,
% 82.63/82.57 (P8(a19,a19,x77631,x77632,a3,a17,x77632,x77631)),
% 82.63/82.57 inference(scs_inference,[],[6716,7188,5197,7478,7234,7591,6941,7585,7695,7714,6693,7500,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250])).
% 82.63/82.57 cnf(7769,plain,
% 82.63/82.57 (P5(a16,a2,a16,a16)),
% 82.63/82.57 inference(scs_inference,[],[6716,7188,5197,7478,7234,7591,6941,7585,7695,7714,6693,6705,7613,7500,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153])).
% 82.63/82.57 cnf(7773,plain,
% 82.63/82.57 (P10(a2,a17,a2,a2)),
% 82.63/82.57 inference(scs_inference,[],[6716,7188,7370,5197,7478,7234,7591,6941,7585,7695,7714,6693,6705,7613,7500,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442])).
% 82.63/82.57 cnf(7775,plain,
% 82.63/82.57 (P8(x77751,x77752,x77752,x77751,a19,a19,a3,a17)),
% 82.63/82.57 inference(scs_inference,[],[6716,7188,7370,5197,7478,7234,7591,6941,7585,7695,7714,6693,6705,7613,7500,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252])).
% 82.63/82.57 cnf(7777,plain,
% 82.63/82.57 (P9(a2,a17,a17,a17)),
% 82.63/82.57 inference(scs_inference,[],[7323,6716,7188,7370,5197,7478,7234,7591,6941,7585,7695,7714,6693,6705,7613,7500,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162])).
% 82.63/82.57 cnf(7779,plain,
% 82.63/82.57 (P9(a3,a17,a17,a2)),
% 82.63/82.57 inference(scs_inference,[],[7323,6716,7188,7370,5197,7478,7234,7591,6941,7487,7585,7695,7714,6693,6705,7613,7500,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162,163])).
% 82.63/82.57 cnf(7781,plain,
% 82.63/82.57 (P7(a3,a17,a3,a17,a3,a3,a3,a3)),
% 82.63/82.57 inference(scs_inference,[],[7323,6716,7188,7370,5197,7478,7234,7591,6287,6941,7487,7585,7695,7714,6693,6705,7613,7500,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162,163,253])).
% 82.63/82.57 cnf(7785,plain,
% 82.63/82.57 (P4(a2,f15(a2,a2,a2,a3),a2,a2)),
% 82.63/82.57 inference(scs_inference,[],[7323,6716,7188,7370,5197,7478,7234,7591,6287,6941,7487,7585,7695,7714,6693,6705,7613,7500,7688,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162,163,253,223,167])).
% 82.63/82.57 cnf(7791,plain,
% 82.63/82.57 (P4(f15(a2,a2,a2,a2),a2,a2,f15(a2,a2,a2,a2))),
% 82.63/82.57 inference(scs_inference,[],[7323,6716,7188,7370,5197,7478,7234,7591,6287,6941,7487,7585,7695,7714,6693,5129,6705,7249,7613,7500,7688,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162,163,253,223,167,793,164,166])).
% 82.63/82.57 cnf(7795,plain,
% 82.63/82.57 (P4(a2,f15(a2,a2,a2,a2),f15(a2,a2,a2,a2),a2)),
% 82.63/82.57 inference(scs_inference,[],[7323,6716,7188,7370,5197,7478,7234,7591,5747,6287,6941,7487,7585,7695,7714,6693,5129,6705,7249,7613,7500,7688,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162,163,253,223,167,793,164,166,251,168])).
% 82.63/82.57 cnf(7802,plain,
% 82.63/82.57 (P9(x78021,x78022,x78021,x78022)),
% 82.63/82.57 inference(rename_variables,[],[5860])).
% 82.63/82.57 cnf(7804,plain,
% 82.63/82.57 (P2(a2,a2,a3,a3)),
% 82.63/82.57 inference(scs_inference,[],[7323,6716,7188,7370,5197,7478,7234,7591,5747,6287,6941,7487,7585,7693,7695,7714,6693,5129,6705,7249,7613,7500,7688,5860,5578,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162,163,253,223,167,793,164,166,251,168,173,202,243,181])).
% 82.63/82.57 cnf(7810,plain,
% 82.63/82.57 (P9(a1,a3,a2,a17)),
% 82.63/82.57 inference(scs_inference,[],[7323,7355,6716,7188,7370,5197,7478,7234,7591,5747,6287,6941,7487,7585,7693,7695,7714,6693,5129,6705,7249,7613,7500,7688,7108,5860,5578,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162,163,253,223,167,793,164,166,251,168,173,202,243,181,185,246,179])).
% 82.63/82.57 cnf(7812,plain,
% 82.63/82.57 (P1(f23(a2,a3,a2,a3),a2,a3)),
% 82.63/82.57 inference(scs_inference,[],[7323,7355,6716,7188,7370,5197,7478,7234,7591,5747,6287,6941,7487,7585,7693,7695,7714,6693,5129,6705,7249,7613,7500,7688,7108,5860,7802,5578,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162,163,253,223,167,793,164,166,251,168,173,202,243,181,185,246,179,247])).
% 82.63/82.57 cnf(7813,plain,
% 82.63/82.57 (P9(x78131,x78132,x78131,x78132)),
% 82.63/82.57 inference(rename_variables,[],[5860])).
% 82.63/82.57 cnf(7821,plain,
% 82.63/82.57 (P10(a16,a16,a16,a2)),
% 82.63/82.57 inference(scs_inference,[],[7323,7355,6716,7188,7370,5197,7478,7234,7591,5747,6287,6941,7487,7585,7693,7695,7714,6693,5129,6705,7249,7613,7500,7688,7108,5656,5860,7802,5578,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162,163,253,223,167,793,164,166,251,168,173,202,243,181,185,246,179,247,242,187,186,237])).
% 82.63/82.57 cnf(7822,plain,
% 82.63/82.57 (P8(a16,a16,x78221,x78222,a17,a17,x78221,x78222)),
% 82.63/82.57 inference(rename_variables,[],[5656])).
% 82.63/82.57 cnf(7833,plain,
% 82.63/82.57 (P5(f8(a3,a2,a2,a3),a3,f8(a3,a2,a2,a3),a3)),
% 82.63/82.57 inference(scs_inference,[],[7323,7355,6716,7188,7370,5197,7478,7234,7591,5747,6287,6941,7487,7585,7693,7695,7714,6693,5129,6705,7249,7613,7500,7688,7108,6848,7341,5561,5656,6357,4983,4910,5860,7802,5578,4999,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162,163,253,223,167,793,164,166,251,168,173,202,243,181,185,246,179,247,242,187,186,237,171,220,188,227,170])).
% 82.63/82.57 cnf(7841,plain,
% 82.63/82.57 (P3(f24(a16,a2,a16,a2,a2,a2),a16,a2)),
% 82.63/82.57 inference(scs_inference,[],[7323,7355,6716,7188,7370,5197,7478,7234,7591,5747,6287,6941,7487,7571,7585,7693,7695,7714,6693,5129,6705,7249,7613,7500,7688,5638,7108,6848,7341,5561,5656,6357,7060,4983,4910,6818,5860,7802,5578,4999,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162,163,253,223,167,793,164,166,251,168,173,202,243,181,185,246,179,247,242,187,186,237,171,220,188,227,170,194,201,197,200])).
% 82.63/82.57 cnf(7850,plain,
% 82.63/82.57 (P9(a2,a16,a1,a1)),
% 82.63/82.57 inference(scs_inference,[],[7323,7355,6716,7188,7127,7370,5197,7478,7672,7234,7591,5747,6287,6941,7487,7571,7585,7617,7693,7695,7714,6693,5129,6705,7249,7613,7500,7688,5638,7108,6848,7277,7341,5561,5656,7822,6357,7060,7149,4983,4910,6818,5860,7802,5578,4999,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162,163,253,223,167,793,164,166,251,168,173,202,243,181,185,246,179,247,242,187,186,237,171,220,188,227,170,194,201,197,200,238,190,196,178])).
% 82.63/82.57 cnf(7858,plain,
% 82.63/82.57 (P1(f5(a17,a2,a17),a17,a2)),
% 82.63/82.57 inference(scs_inference,[],[7323,7355,6716,7188,7127,7370,5197,7478,7672,7234,7591,5747,6287,6941,7487,7571,7585,7617,7693,7695,7714,6693,5129,6705,7249,7613,7500,7688,5638,7108,6848,7277,7341,5561,5656,7822,6357,7060,7149,4983,4910,6818,5860,7802,5578,4999,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162,163,253,223,167,793,164,166,251,168,173,202,243,181,185,246,179,247,242,187,186,237,171,220,188,227,170,194,201,197,200,238,190,196,178,191,175,198,174])).
% 82.63/82.57 cnf(7862,plain,
% 82.63/82.57 (P4(a2,a2,f23(a2,a16,a2,a2),a2)),
% 82.63/82.57 inference(scs_inference,[],[7323,7355,6716,7188,7127,7370,5197,7478,7672,7234,7591,5747,6287,6941,7487,7571,7585,7617,7693,7695,7714,6693,5129,6705,7249,7255,7613,7500,7688,5638,7108,6848,7277,7341,5561,5656,7822,6357,7060,7149,4983,4910,5872,6818,5860,7802,5578,4999,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162,163,253,223,167,793,164,166,251,168,173,202,243,181,185,246,179,247,242,187,186,237,171,220,188,227,170,194,201,197,200,238,190,196,178,191,175,198,174,195,233])).
% 82.63/82.57 cnf(7871,plain,
% 82.63/82.57 (P3(a17,a2,a17)),
% 82.63/82.57 inference(scs_inference,[],[7323,6014,7355,6716,7188,7127,7370,5197,7478,7672,7234,7591,5747,6287,6941,7487,7571,7585,7617,7639,7693,7695,7714,6693,5129,6705,7249,7255,7613,7500,7688,6971,5638,7108,7329,6848,7277,7341,5561,5656,7822,6357,7102,7060,7149,4983,4910,5872,6818,5860,7802,5578,5332,4999,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162,163,253,223,167,793,164,166,251,168,173,202,243,181,185,246,179,247,242,187,186,237,171,220,188,227,170,194,201,197,200,238,190,196,178,191,175,198,174,195,233,259,224,159])).
% 82.63/82.57 cnf(7873,plain,
% 82.63/82.57 (P4(a17,a17,a17,a17)),
% 82.63/82.57 inference(scs_inference,[],[7323,6014,7355,6716,7188,7127,7370,5197,7478,7672,7234,7591,5747,6287,6941,7487,7571,7585,7617,7639,7693,7695,7714,6693,5129,6705,7249,7255,7613,7500,7688,6971,5638,7108,7329,6848,7277,7341,5561,5656,7822,6357,7102,7060,7149,4983,4910,5872,6818,5860,7802,5578,5332,4999,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162,163,253,223,167,793,164,166,251,168,173,202,243,181,185,246,179,247,242,187,186,237,171,220,188,227,170,194,201,197,200,238,190,196,178,191,175,198,174,195,233,259,224,159,193])).
% 82.63/82.57 cnf(7875,plain,
% 82.63/82.57 (P2(f10(a3,a3,a17),a3,a3,a17)),
% 82.63/82.57 inference(scs_inference,[],[7323,6014,7355,6716,7188,7127,7370,5197,7478,7672,7234,7591,5747,6287,6941,7390,7487,7571,7585,7617,7639,7693,7695,7714,6693,5129,6705,7249,7255,7613,7500,7688,6971,5638,7108,7329,6848,7277,7341,5561,5152,5656,7822,6357,5878,7102,7060,7149,4983,4910,5872,6818,5860,7802,5578,5332,4999,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162,163,253,223,167,793,164,166,251,168,173,202,243,181,185,246,179,247,242,187,186,237,171,220,188,227,170,194,201,197,200,238,190,196,178,191,175,198,174,195,233,259,224,159,193,189])).
% 82.63/82.57 cnf(7877,plain,
% 82.63/82.57 (P3(f7(a2,a16,a2),a2,a2)),
% 82.63/82.57 inference(scs_inference,[],[7323,6014,7355,6716,7188,7127,7370,5197,7478,7672,7234,7591,5747,6287,6941,7390,7487,7571,7585,7617,7639,7693,7695,7714,6693,5129,6705,7249,7255,7613,7500,7688,6971,5638,7108,7329,6848,7277,7150,7341,5561,5152,5656,7822,6357,5878,7102,7060,7149,4983,4910,5872,6818,5860,7802,7813,5578,5332,4999,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162,163,253,223,167,793,164,166,251,168,173,202,243,181,185,246,179,247,242,187,186,237,171,220,188,227,170,194,201,197,200,238,190,196,178,191,175,198,174,195,233,259,224,159,193,189,183])).
% 82.63/82.57 cnf(7878,plain,
% 82.63/82.57 (P9(x78781,x78782,x78781,x78782)),
% 82.63/82.57 inference(rename_variables,[],[5860])).
% 82.63/82.57 cnf(7881,plain,
% 82.63/82.57 (P10(a3,a3,x78811,x78811)),
% 82.63/82.57 inference(rename_variables,[],[5632])).
% 82.63/82.57 cnf(7884,plain,
% 82.63/82.57 (P10(x78841,x78841,a2,a2)),
% 82.63/82.57 inference(rename_variables,[],[5644])).
% 82.63/82.57 cnf(7892,plain,
% 82.63/82.57 (P5(a3,a17,a17,a17)),
% 82.63/82.57 inference(scs_inference,[],[7323,6014,7355,6716,7188,7127,7370,5197,7478,7672,7234,7591,5747,6287,6941,7390,7487,7571,7577,7585,7593,7617,7639,7693,7695,7714,6693,5129,6705,7249,7255,7613,7500,7688,6971,5638,7108,7329,6848,7277,7150,7341,5561,5152,5656,7822,6357,6592,5878,7102,7060,5632,7881,7149,5644,7884,4983,4910,5872,6818,5860,7802,7813,5578,5332,4999,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162,163,253,223,167,793,164,166,251,168,173,202,243,181,185,246,179,247,242,187,186,237,171,220,188,227,170,194,201,197,200,238,190,196,178,191,175,198,174,195,233,259,224,159,193,189,183,203,206,205,204,273])).
% 82.63/82.57 cnf(7894,plain,
% 82.63/82.57 (P8(a3,a3,a2,a3,a3,a2,a3,a3)),
% 82.63/82.57 inference(scs_inference,[],[7323,6014,7355,6716,7188,7127,7370,5197,7478,7672,7234,7591,5747,6287,6941,7390,7487,7571,7577,7585,7593,7617,7639,7693,7695,7714,6693,5129,6705,7249,7255,7613,7500,7688,6971,5638,7108,7329,6848,7277,7150,7341,5561,5152,5656,7822,6357,6592,5878,7102,7060,5632,7881,7149,5644,7884,4983,4910,5872,6818,5860,7802,7813,5578,5332,4999,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162,163,253,223,167,793,164,166,251,168,173,202,243,181,185,246,179,247,242,187,186,237,171,220,188,227,170,194,201,197,200,238,190,196,178,191,175,198,174,195,233,259,224,159,193,189,183,203,206,205,204,273,4580])).
% 82.63/82.57 cnf(7898,plain,
% 82.63/82.57 (P9(a2,a2,a1,a1)),
% 82.63/82.57 inference(scs_inference,[],[7323,6014,7355,6716,7188,7127,7370,5197,7478,7672,7234,7591,5747,6287,6941,7390,7487,7571,7577,7585,7593,7617,7639,7693,7695,7714,6693,5129,6705,7249,7255,7613,7500,7688,6971,5638,7108,7329,6848,7277,7150,7341,5561,5152,5656,7822,6357,6592,5878,7102,7060,5632,7881,7149,5644,7884,4983,4910,5872,6818,5860,7802,7813,5578,5332,4999,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162,163,253,223,167,793,164,166,251,168,173,202,243,181,185,246,179,247,242,187,186,237,171,220,188,227,170,194,201,197,200,238,190,196,178,191,175,198,174,195,233,259,224,159,193,189,183,203,206,205,204,273,4580,797,1238])).
% 82.63/82.57 cnf(7900,plain,
% 82.63/82.57 (P9(a18,a18,a1,a1)),
% 82.63/82.57 inference(scs_inference,[],[7323,6014,7355,6716,7188,7127,7370,5197,7478,7672,7234,7591,5747,6287,6941,7390,7487,7571,7577,7585,7593,7617,7639,7693,7695,7714,6693,5129,6705,7249,7255,7613,7500,7688,6971,5638,7108,7329,6848,7277,7150,7341,5561,5152,5656,7822,6357,6592,5878,7102,7060,5632,7881,7149,5644,7884,4983,4910,5872,6818,5860,7802,7813,5578,5332,4999,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162,163,253,223,167,793,164,166,251,168,173,202,243,181,185,246,179,247,242,187,186,237,171,220,188,227,170,194,201,197,200,238,190,196,178,191,175,198,174,195,233,259,224,159,193,189,183,203,206,205,204,273,4580,797,1238,3049])).
% 82.63/82.57 cnf(7902,plain,
% 82.63/82.57 (P9(a3,a3,a1,a1)),
% 82.63/82.57 inference(scs_inference,[],[7323,6014,7355,6716,7188,7127,7370,5197,7478,7672,7234,7591,5747,6287,6941,7390,7487,7571,7577,7585,7593,7617,7639,7693,7695,7714,6693,5129,6705,7249,7255,7613,7500,7688,6971,5638,7108,7329,6848,7277,7150,7341,5561,5152,5656,7822,6357,6592,5878,7102,7060,5632,7881,7149,5644,7884,4983,4910,5872,6818,5860,7802,7813,5578,5332,4999,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162,163,253,223,167,793,164,166,251,168,173,202,243,181,185,246,179,247,242,187,186,237,171,220,188,227,170,194,201,197,200,238,190,196,178,191,175,198,174,195,233,259,224,159,193,189,183,203,206,205,204,273,4580,797,1238,3049,540])).
% 82.63/82.57 cnf(7904,plain,
% 82.63/82.57 (P10(a2,a2,a2,a3)),
% 82.63/82.57 inference(scs_inference,[],[7323,6014,7355,6716,7188,7127,7370,5197,7478,7672,7234,7591,5747,6287,6941,7390,7487,7571,7577,7585,7593,7617,7639,7693,7695,7714,6693,5129,6705,7249,7255,7613,7500,7688,6971,5638,7108,7329,6848,7277,7150,7341,5561,5152,5656,7822,6357,6592,5878,7102,7060,5632,7881,7149,5644,7884,4983,4910,5872,6818,5860,7802,7813,5578,5332,4999,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162,163,253,223,167,793,164,166,251,168,173,202,243,181,185,246,179,247,242,187,186,237,171,220,188,227,170,194,201,197,200,238,190,196,178,191,175,198,174,195,233,259,224,159,193,189,183,203,206,205,204,273,4580,797,1238,3049,540,230])).
% 82.63/82.57 cnf(7918,plain,
% 82.63/82.57 (P10(a3,a1,a1,a3)),
% 82.63/82.57 inference(scs_inference,[],[7323,6014,7355,6716,7188,7127,7370,5197,7478,7672,7234,7591,5747,6287,6941,7372,7390,7487,7571,7577,7585,7593,7617,7639,7693,7695,7714,6693,5129,6705,7249,7255,7613,7500,7688,6971,5638,7108,7329,6349,6848,7277,7150,7341,5561,5152,5656,7822,6357,6592,5878,7102,7060,5632,7881,7149,5644,7884,4983,4910,5872,6818,5860,7802,7813,5578,5332,4999,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162,163,253,223,167,793,164,166,251,168,173,202,243,181,185,246,179,247,242,187,186,237,171,220,188,227,170,194,201,197,200,238,190,196,178,191,175,198,174,195,233,259,224,159,193,189,183,203,206,205,204,273,4580,797,1238,3049,540,230,785,781,1340,1606,184,245,176])).
% 82.63/82.57 cnf(7920,plain,
% 82.63/82.57 (P10(a18,a18,a17,a2)),
% 82.63/82.57 inference(scs_inference,[],[7323,6014,7327,7355,6716,7188,7127,7370,5197,7478,7672,7234,7591,5747,6287,6941,7372,7390,7487,7571,7577,7585,7593,7617,7639,7693,7695,7714,6693,5129,6705,7249,7255,7613,7500,7688,6971,5638,7108,7329,6349,6848,7277,7150,7341,5561,5152,5656,7822,6357,6592,5878,7102,7060,5632,7881,7149,5644,7884,4983,4910,5872,6818,5860,7802,7813,7878,5578,5332,4999,255,160,150,1583,4634,149,151,1601,165,249,256,161,254,250,148,221,153,222,442,252,162,163,253,223,167,793,164,166,251,168,173,202,243,181,185,246,179,247,242,187,186,237,171,220,188,227,170,194,201,197,200,238,190,196,178,191,175,198,174,195,233,259,224,159,193,189,183,203,206,205,204,273,4580,797,1238,3049,540,230,785,781,1340,1606,184,245,176,177])).
% 82.63/82.57 cnf(7933,plain,
% 82.63/82.57 (P7(a17,a3,a17,a3,a3,a17,a17,a3)),
% 82.63/82.57 inference(scs_inference,[],[5803,6586,7841,7858,785,150,4645,255])).
% 82.63/82.57 cnf(7935,plain,
% 82.63/82.57 (P10(a16,a16,a2,a17)),
% 82.63/82.57 inference(scs_inference,[],[5803,7751,6586,7841,7858,785,150,4645,255,160])).
% 82.63/82.57 cnf(7943,plain,
% 82.63/82.57 (P5(f8(a3,a3,a3,a2),a3,a2,f8(a3,a3,a3,a2))),
% 82.63/82.57 inference(scs_inference,[],[5803,7751,6586,7170,7050,7841,7812,7858,785,150,4645,255,160,1340,781,1583,165])).
% 82.63/82.57 cnf(7945,plain,
% 82.63/82.57 (P3(a17,a17,a2)),
% 82.63/82.57 inference(scs_inference,[],[5803,7751,6586,7871,7170,7050,7841,7812,7858,785,150,4645,255,160,1340,781,1583,165,151])).
% 82.63/82.57 cnf(7951,plain,
% 82.63/82.57 (P7(a3,a3,a3,a3,a3,a2,a3,a2)),
% 82.63/82.57 inference(scs_inference,[],[6606,5803,7751,7153,6586,7871,7170,5464,7050,7841,7812,7858,785,150,4645,255,160,1340,781,1583,165,151,149,250,256])).
% 82.63/82.57 cnf(7959,plain,
% 82.63/82.57 (P10(a3,a2,a3,a17)),
% 82.63/82.57 inference(scs_inference,[],[6606,5803,7751,7153,6586,7087,7871,7170,5464,7050,7841,7812,7858,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161])).
% 82.63/82.57 cnf(7961,plain,
% 82.63/82.57 (P8(a17,a17,a17,a17,a17,a17,a17,a17)),
% 82.63/82.57 inference(scs_inference,[],[6606,5803,7751,7153,6586,7087,7871,7873,7170,5464,7050,7841,7812,7858,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221])).
% 82.63/82.57 cnf(7965,plain,
% 82.63/82.57 (P8(a3,a3,x79651,x79652,a2,a16,x79651,x79652)),
% 82.63/82.57 inference(scs_inference,[],[6606,5803,7579,7751,7153,6586,7087,7871,7873,7170,5464,7050,7841,7812,7858,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222])).
% 82.63/82.57 cnf(7967,plain,
% 82.63/82.57 (P8(a3,a2,a3,a3,a2,a3,a3,a3)),
% 82.63/82.57 inference(scs_inference,[],[6606,5803,7579,7751,7153,6586,7087,7871,7873,7170,5464,7050,7841,7812,7858,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252])).
% 82.63/82.57 cnf(7973,plain,
% 82.63/82.57 (P5(a16,a16,a16,a2)),
% 82.63/82.57 inference(scs_inference,[],[6606,5803,7579,7751,7153,6546,6586,7087,7749,7871,7873,7170,7009,5464,7050,7841,7812,7858,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153])).
% 82.63/82.57 cnf(7975,plain,
% 82.63/82.57 (P4(a2,f23(a2,a16,a2,a2),a2,a2)),
% 82.63/82.57 inference(scs_inference,[],[6606,5803,7579,7751,7153,6546,6586,7087,7749,7871,7873,7170,7009,5464,7050,7841,7812,7862,7858,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167])).
% 82.63/82.57 cnf(7977,plain,
% 82.63/82.57 (P9(a17,a2,a19,a19)),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,5803,7579,7751,7153,6546,6586,7087,7749,7871,7873,7170,7009,5464,7050,7841,7812,7862,7858,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162])).
% 82.63/82.57 cnf(7987,plain,
% 82.63/82.57 (P4(f15(a2,a2,a2,a2),a2,f15(a2,a2,a2,a2),a2)),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,5803,7579,7751,7153,7769,6546,6586,7087,7749,7871,7873,7892,6268,7170,7009,5464,7460,7050,7795,7841,7812,7862,7858,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162,163,223,164,793,166])).
% 82.63/82.57 cnf(7989,plain,
% 82.63/82.57 (P8(a2,a16,x79891,x79892,a3,a3,x79891,x79892)),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,5803,7579,7751,7153,7769,7755,6546,6586,7087,7749,7871,7873,7892,6268,7170,7009,5464,7460,7050,7795,7841,7812,7862,7858,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162,163,223,164,793,166,251])).
% 82.63/82.57 cnf(7991,plain,
% 82.63/82.57 (P4(a2,a2,a2,f23(a2,a16,a2,a2))),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,5803,7579,7751,7153,7769,7755,6546,6586,7087,7749,7871,7873,7892,6268,7170,7009,5464,7460,7050,7795,7841,7812,7862,7858,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162,163,223,164,793,166,251,168])).
% 82.63/82.57 cnf(7994,plain,
% 82.63/82.57 (P9(x79941,x79942,x79942,x79941)),
% 82.63/82.57 inference(rename_variables,[],[5729])).
% 82.63/82.57 cnf(8000,plain,
% 82.63/82.57 (P5(a17,a3,a17,f4(a3,a2,a17))),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,5803,7579,7751,7153,7769,7779,7755,6546,6586,7087,7749,7871,7873,7892,6268,7170,7009,5464,7460,7050,7795,7841,7812,7862,7858,4951,5729,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162,163,223,164,793,166,251,168,244,202,173,185])).
% 82.63/82.57 cnf(8002,plain,
% 82.63/82.57 (P2(a16,a2,a16,a16)),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,5803,7579,7751,7153,7769,7779,7755,6546,6586,7087,7749,7871,7873,7892,6268,7170,7009,5464,7460,7050,7795,7841,7812,7862,7858,4951,5729,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162,163,223,164,793,166,251,168,244,202,173,185,181])).
% 82.63/82.57 cnf(8006,plain,
% 82.63/82.57 (P1(a17,a17,f22(a17,a17,a17,a17))),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,5803,7579,7751,7153,7769,7779,7755,6546,6586,7087,7749,7871,7873,7892,6268,7170,7009,5464,7460,7050,7795,7841,7812,7862,7858,7672,4951,5729,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162,163,223,164,793,166,251,168,244,202,173,185,181,246,242])).
% 82.63/82.57 cnf(8011,plain,
% 82.63/82.57 (P9(x80111,x80112,x80112,x80111)),
% 82.63/82.57 inference(rename_variables,[],[5729])).
% 82.63/82.57 cnf(8013,plain,
% 82.63/82.57 (P10(a17,a17,x80131,x80131)),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,7900,5803,7579,7751,7153,7769,7779,7755,6546,6586,7087,7749,7871,7873,7892,6268,7170,7009,5464,7460,7050,7795,7841,7812,7862,7858,7877,5349,7672,4951,5729,7994,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162,163,223,164,793,166,251,168,244,202,173,185,181,246,242,220,187,154])).
% 82.63/82.57 cnf(8015,plain,
% 82.63/82.57 (P2(f9(a17,a17,a17),a17,a17,a17)),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,7900,5803,7579,7751,7153,7769,7779,7755,6546,6586,7087,7749,7871,7873,7892,6268,7170,7009,5464,7460,7050,7795,7841,7812,7862,7858,7877,5349,7672,4951,5729,7994,8011,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162,163,223,164,793,166,251,168,244,202,173,185,181,246,242,220,187,154,188])).
% 82.63/82.57 cnf(8016,plain,
% 82.63/82.57 (P9(x80161,x80162,x80162,x80161)),
% 82.63/82.57 inference(rename_variables,[],[5729])).
% 82.63/82.57 cnf(8019,plain,
% 82.63/82.57 (P9(x80191,x80192,x80192,x80191)),
% 82.63/82.57 inference(rename_variables,[],[5729])).
% 82.63/82.57 cnf(8021,plain,
% 82.63/82.57 (P10(a3,a1,a3,a1)),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,7900,5803,7579,7751,7153,7769,7779,7623,7755,6546,6586,7087,7739,7749,7871,7873,7892,6268,7170,7009,5464,7460,7050,7795,7841,7812,7862,7858,7877,5349,7672,4951,5729,7994,8011,8016,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162,163,223,164,793,166,251,168,244,202,173,185,181,246,242,220,187,154,188,186,237])).
% 82.63/82.57 cnf(8024,plain,
% 82.63/82.57 (P5(a3,a17,a3,a2)),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,7900,5803,7579,7751,7153,7769,7779,7623,7755,6546,6586,7087,7739,7749,7871,7873,7892,6268,7170,7009,5464,7460,7050,7795,7841,7812,7862,7858,7877,5349,7672,4951,5729,7994,8011,8016,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162,163,223,164,793,166,251,168,244,202,173,185,181,246,242,220,187,154,188,186,237,170])).
% 82.63/82.57 cnf(8026,plain,
% 82.63/82.57 (P5(a17,a3,a3,a2)),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,7900,5803,7579,7751,7153,7769,7779,7623,7755,6546,6586,6977,7087,7739,7749,7871,7873,7892,6268,7170,7009,5464,7460,7050,7795,7841,7812,7862,7858,7877,5349,7672,4951,5729,7994,8011,8016,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162,163,223,164,793,166,251,168,244,202,173,185,181,246,242,220,187,154,188,186,237,170,240])).
% 82.63/82.57 cnf(8034,plain,
% 82.63/82.57 (P9(a3,a17,a17,a17)),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,7900,5803,7579,7597,7751,7153,7769,7779,7623,7755,6546,6586,6977,7087,7739,7749,7871,7873,7892,6268,7170,7009,5464,7460,7050,7795,7841,7812,7862,7858,7877,5349,7672,4951,7119,5729,7994,8011,8016,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162,163,223,164,793,166,251,168,244,202,173,185,181,246,242,220,187,154,188,186,237,170,240,197,201,194,178])).
% 82.63/82.57 cnf(8036,plain,
% 82.63/82.57 (P3(f24(a16,a2,a16,a2,a16,a16),a16,a2)),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,7900,5803,7579,7597,7751,7153,7769,7779,7623,7755,6546,6586,6977,7087,7739,7749,7871,7873,7892,6268,7170,7009,5464,7460,7050,7795,7841,7812,7862,7858,7877,5349,7672,4951,7119,5729,7994,8011,8016,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162,163,223,164,793,166,251,168,244,202,173,185,181,246,242,220,187,154,188,186,237,170,240,197,201,194,178,200])).
% 82.63/82.57 cnf(8042,plain,
% 82.63/82.57 (P9(a16,a2,a3,a17)),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,7900,5803,7579,7597,7751,7777,7153,7769,7779,7441,7623,7755,6546,6586,6977,7087,7739,7749,7871,7873,7892,6268,7170,7009,5464,7460,7050,7795,7841,7812,7862,7858,7877,6989,5349,7672,4951,7119,5729,7994,8011,8016,7285,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162,163,223,164,793,166,251,168,244,202,173,185,181,246,242,220,187,154,188,186,237,170,240,197,201,194,178,200,190,196,238])).
% 82.63/82.57 cnf(8046,plain,
% 82.63/82.57 (P9(x80461,x80462,x80462,x80461)),
% 82.63/82.57 inference(rename_variables,[],[5729])).
% 82.63/82.57 cnf(8052,plain,
% 82.63/82.57 (P8(a2,a17,a2,a3,a3,a2,a3,a3)),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,7900,5803,7579,7597,7751,7777,7153,7769,7779,7441,7623,7755,6546,6586,6977,7087,7739,7749,7804,7871,7873,7892,6268,7170,7009,5464,7460,7050,7795,7841,7812,7862,7858,7877,6989,5349,7672,7300,4951,7119,5729,7994,8011,8016,8019,7285,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162,163,223,164,793,166,251,168,244,202,173,185,181,246,242,220,187,154,188,186,237,170,240,197,201,194,178,200,190,196,238,175,191,198,226])).
% 82.63/82.57 cnf(8055,plain,
% 82.63/82.57 (P9(x80551,x80552,x80552,x80551)),
% 82.63/82.57 inference(rename_variables,[],[5729])).
% 82.63/82.57 cnf(8059,plain,
% 82.63/82.57 (P4(a2,a2,f22(a2,a16,a2,a2),a2)),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,7900,5803,7579,7597,7751,7777,7153,7769,7779,7441,7623,7755,6546,6586,6977,7087,7739,7749,7804,7871,7873,7892,6268,7170,7009,5464,7460,7050,7470,7795,7841,7812,7862,7858,7877,6989,5349,7672,7300,4951,5872,7119,5729,7994,8011,8016,8019,8046,7285,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162,163,223,164,793,166,251,168,244,202,173,185,181,246,242,220,187,154,188,186,237,170,240,197,201,194,178,200,190,196,238,175,191,198,226,174,195,233])).
% 82.63/82.57 cnf(8064,plain,
% 82.63/82.57 (P3(a17,a17,a3)),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,7900,5803,7579,7597,7751,7777,7153,7769,7779,7441,7623,7755,6338,6546,6586,6977,7087,7739,7749,7804,7871,7873,7892,6268,7170,7009,5464,7460,7050,7470,7795,7841,7812,7862,7858,7877,6443,6989,5349,5426,7672,7300,4951,5872,7119,5729,7994,8011,8016,8019,8046,7285,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162,163,223,164,793,166,251,168,244,202,173,185,181,246,242,220,187,154,188,186,237,170,240,197,201,194,178,200,190,196,238,175,191,198,226,174,195,233,224,159])).
% 82.63/82.57 cnf(8066,plain,
% 82.63/82.57 (P4(a2,a16,a16,a16)),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,7900,5803,7579,7597,7751,7777,7153,7769,7779,7441,7623,7755,6338,6546,6586,6977,7087,7739,7749,7804,7871,7873,7892,6268,7170,7009,5464,7460,7050,7470,7795,7841,7812,7862,7858,7877,6443,6989,5349,5426,7672,7300,4951,5872,7119,5729,7994,8011,8016,8019,8046,7285,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162,163,223,164,793,166,251,168,244,202,173,185,181,246,242,220,187,154,188,186,237,170,240,197,201,194,178,200,190,196,238,175,191,198,226,174,195,233,224,159,193])).
% 82.63/82.57 cnf(8068,plain,
% 82.63/82.57 (P2(f10(a2,a17,a2),a2,a17,a2)),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,7900,5803,7579,7597,7751,7773,7777,7153,7769,7779,7441,7623,7755,6338,6546,6586,6977,7087,7739,7749,7804,7871,7873,7892,6268,7170,7009,5464,7460,7050,7470,7795,7841,7812,7862,7858,7877,6443,6989,6600,5349,5426,7672,7300,4951,5872,7119,5729,7994,8011,8016,8019,8046,7285,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162,163,223,164,793,166,251,168,244,202,173,185,181,246,242,220,187,154,188,186,237,170,240,197,201,194,178,200,190,196,238,175,191,198,226,174,195,233,224,159,193,189])).
% 82.63/82.57 cnf(8072,plain,
% 82.63/82.57 (P1(f27(a16,a2,a2,a2,a16,a16),a16,a2)),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,7900,5803,7579,7597,7751,7773,7777,7153,7769,7779,7441,7623,7755,6338,6546,6586,6977,7087,7739,7749,7804,7871,7873,7892,6268,7170,7009,5464,7460,7050,7470,7795,7841,7812,7862,7858,7877,6443,6989,6459,6455,6600,5349,6859,5426,7672,7196,7300,4951,5872,7119,5729,7994,8011,8016,8019,8046,7285,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162,163,223,164,793,166,251,168,244,202,173,185,181,246,242,220,187,154,188,186,237,170,240,197,201,194,178,200,190,196,238,175,191,198,226,174,195,233,224,159,193,189,203,206])).
% 82.63/82.57 cnf(8078,plain,
% 82.63/82.57 (P10(a17,a2,a2,a2)),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,7900,5803,7579,7597,7751,7773,7777,7153,7769,7779,7441,7623,7755,6338,6546,6586,6977,7087,7739,7749,7804,7871,7873,7892,6268,7170,7009,5464,7460,7050,7470,7795,7841,7812,7862,7858,7877,6443,6989,6459,6472,6455,6600,5349,6859,5426,7672,5231,7196,7300,4951,5872,7119,5729,7994,8011,8016,8019,8046,7285,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162,163,223,164,793,166,251,168,244,202,173,185,181,246,242,220,187,154,188,186,237,170,240,197,201,194,178,200,190,196,238,175,191,198,226,174,195,233,224,159,193,189,203,206,205,204,4701])).
% 82.63/82.57 cnf(8080,plain,
% 82.63/82.57 (P10(a17,a2,a16,a16)),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,7900,5803,7579,7597,7751,7773,7777,7153,7769,7779,7441,7623,7755,6338,6546,6586,6977,7087,7739,7749,7804,7871,7873,7892,6268,7170,7009,5464,7460,7050,7470,7795,7841,7812,7862,7858,7877,6443,6989,6459,6472,6455,6600,5349,6859,5426,7672,5231,7196,7300,4951,5872,7119,5729,7994,8011,8016,8019,8046,7285,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162,163,223,164,793,166,251,168,244,202,173,185,181,246,242,220,187,154,188,186,237,170,240,197,201,194,178,200,190,196,238,175,191,198,226,174,195,233,224,159,193,189,203,206,205,204,4701,4714])).
% 82.63/82.57 cnf(8082,plain,
% 82.63/82.57 (P10(a17,a2,a17,a17)),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,7900,5803,7579,7597,7751,7773,7777,7153,7769,7779,7441,7623,7755,6338,6546,6586,6977,7087,7739,7749,7804,7871,7873,7892,6268,7170,7009,5464,7460,7050,7470,7795,7841,7812,7862,7858,7877,6443,6989,6459,6472,6455,6600,5349,6859,5426,7672,5231,7196,7300,4951,5872,7119,5729,7994,8011,8016,8019,8046,7285,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162,163,223,164,793,166,251,168,244,202,173,185,181,246,242,220,187,154,188,186,237,170,240,197,201,194,178,200,190,196,238,175,191,198,226,174,195,233,224,159,193,189,203,206,205,204,4701,4714,4083])).
% 82.63/82.57 cnf(8088,plain,
% 82.63/82.57 (P1(a3,a2,a17)),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,7900,5803,7579,7597,7751,7773,7777,7153,7769,7779,7441,7623,7755,6338,6546,6586,6977,7087,7739,7749,7804,7871,7873,7892,6268,7170,7009,5464,7460,7050,7470,7795,7841,7812,7862,7858,7877,6443,6989,6459,6472,6455,6600,5349,6859,5426,7672,5231,7196,7300,4951,5872,7119,5729,7994,8011,8016,8019,8046,7285,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162,163,223,164,793,166,251,168,244,202,173,185,181,246,242,220,187,154,188,186,237,170,240,197,201,194,178,200,190,196,238,175,191,198,226,174,195,233,224,159,193,189,203,206,205,204,4701,4714,4083,4331,4327,157])).
% 82.63/82.57 cnf(8090,plain,
% 82.63/82.57 (P9(f8(a2,a16,a16,a16),a2,a2,a16)),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,7900,5803,7579,7597,7751,7773,7777,7153,7769,7779,7441,7623,7755,6338,6546,6586,6977,7087,7739,7749,7804,7871,7873,7892,6268,7170,7009,5464,7460,7050,7470,7795,7841,7812,7862,7858,7877,6443,6989,6459,6472,6455,6600,5349,6859,5426,7672,5231,7196,7300,4951,5872,7119,5729,7994,8011,8016,8019,8046,7285,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162,163,223,164,793,166,251,168,244,202,173,185,181,246,242,220,187,154,188,186,237,170,240,197,201,194,178,200,190,196,238,175,191,198,226,174,195,233,224,159,193,189,203,206,205,204,4701,4714,4083,4331,4327,157,184])).
% 82.63/82.57 cnf(8097,plain,
% 82.63/82.57 (P8(a2,a2,a2,a2,a2,a2,a2,a17)),
% 82.63/82.57 inference(scs_inference,[],[7357,6606,7900,5803,7579,7597,7751,7773,7777,7153,7769,7779,7441,7623,7755,6338,6546,6586,6977,7087,7739,7749,7804,7871,7873,7892,6268,7170,7009,5464,7460,7050,7470,7795,7841,7812,7862,7858,7877,6443,6989,6459,6472,6455,6600,5349,6859,5426,7672,5231,7196,7300,4951,5872,7119,5729,7994,8011,8016,8019,8046,8055,7285,785,150,4645,255,160,1340,781,1583,165,151,149,250,256,254,249,1601,161,221,442,222,252,253,148,153,167,162,163,223,164,793,166,251,168,244,202,173,185,181,246,242,220,187,154,188,186,237,170,240,197,201,194,178,200,190,196,238,175,191,198,226,174,195,233,224,159,193,189,203,206,205,204,4701,4714,4083,4331,4327,157,184,245,243,227])).
% 82.63/82.57 cnf(8113,plain,
% 82.63/82.57 (P7(a3,a2,a2,a17,a3,a2,a2,a17)),
% 82.63/82.57 inference(scs_inference,[],[8088,4331])).
% 82.63/82.57 cnf(8117,plain,
% 82.63/82.57 (P7(a2,a17,a3,a17,a17,a2,a3,a17)),
% 82.63/82.57 inference(scs_inference,[],[6057,8088,8036,4331,150,255])).
% 82.63/82.57 cnf(8119,plain,
% 82.63/82.57 (P5(a16,a16,a2,a16)),
% 82.63/82.57 inference(scs_inference,[],[7973,6057,8088,8036,4331,150,255,165])).
% 82.63/82.57 cnf(8123,plain,
% 82.63/82.57 (P8(x81231,x81232,x81232,x81231,a2,a2,a3,a17)),
% 82.63/82.57 inference(scs_inference,[],[7973,6057,8088,8036,8072,7775,4331,150,255,165,781,4634])).
% 82.63/82.57 cnf(8125,plain,
% 82.63/82.57 (P10(a2,a2,a17,a2)),
% 82.63/82.57 inference(scs_inference,[],[8078,7973,6057,8088,8036,8072,7775,4331,150,255,165,781,4634,160])).
% 82.63/82.57 cnf(8129,plain,
% 82.63/82.57 (P10(a17,a2,a3,a3)),
% 82.63/82.57 inference(scs_inference,[],[8078,7973,6057,8082,8088,6767,8036,8072,7775,4331,150,255,165,781,4634,160,149,1583])).
% 82.63/82.57 cnf(8131,plain,
% 82.63/82.57 (P1(a3,a1,a1)),
% 82.63/82.57 inference(scs_inference,[],[8078,7973,6057,8021,8082,8088,6767,8036,8072,7775,4331,150,255,165,781,4634,160,149,1583,157])).
% 82.63/82.57 cnf(8133,plain,
% 82.63/82.57 (P7(a3,a17,a17,a3,a3,a17,a3,a17)),
% 82.63/82.57 inference(scs_inference,[],[8078,7973,6057,6063,8021,8082,8088,6767,8036,8072,7775,4331,150,255,165,781,4634,160,149,1583,157,254])).
% 82.63/82.57 cnf(8135,plain,
% 82.63/82.57 (P3(a17,a3,a17)),
% 82.63/82.57 inference(scs_inference,[],[8078,7973,6057,6063,8021,8064,8082,8088,6767,8036,8072,7775,4331,150,255,165,781,4634,160,149,1583,157,254,151])).
% 82.63/82.57 cnf(8137,plain,
% 82.63/82.57 (P7(a16,a1,a16,a1,a1,a16,a1,a16)),
% 82.63/82.57 inference(scs_inference,[],[8078,7973,6057,6063,6213,8021,8064,8082,8088,6767,8036,8072,7775,4331,150,255,165,781,4634,160,149,1583,157,254,151,256])).
% 82.63/82.57 cnf(8141,plain,
% 82.63/82.57 (P8(a2,a3,a3,a3,a3,a3,a3,a2)),
% 82.63/82.57 inference(scs_inference,[],[7894,8078,7973,6057,6063,6213,8021,8064,8082,8088,6939,6767,8036,8072,7775,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250])).
% 82.63/82.57 cnf(8147,plain,
% 82.63/82.57 (P8(a2,a2,x81471,x81472,a2,a3,x81471,x81472)),
% 82.63/82.57 inference(scs_inference,[],[7894,7904,8078,7973,6057,6063,6213,8021,8064,8066,8082,8088,6939,6767,8036,8072,7775,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222])).
% 82.63/82.57 cnf(8151,plain,
% 82.63/82.57 (P1(a2,a3,a17)),
% 82.63/82.57 inference(scs_inference,[],[7894,7904,8078,7973,6057,6063,6213,8021,8064,8066,8082,8088,6939,6767,8036,8072,7775,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148])).
% 82.63/82.57 cnf(8153,plain,
% 82.63/82.57 (P10(a1,a3,a3,a2)),
% 82.63/82.57 inference(scs_inference,[],[7894,7904,8078,7973,6057,6063,6213,7649,8021,8064,8066,8082,8088,6939,6767,8036,8072,7775,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161])).
% 82.63/82.57 cnf(8157,plain,
% 82.63/82.57 (P8(a3,a3,a3,a2,a2,a3,a3,a3)),
% 82.63/82.57 inference(scs_inference,[],[7894,7904,8078,7973,6057,6063,6213,7649,8021,8064,8066,8082,8088,6939,6767,7987,8036,8072,7775,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252])).
% 82.63/82.57 cnf(8161,plain,
% 82.63/82.57 (P5(a17,a17,a17,a2)),
% 82.63/82.57 inference(scs_inference,[],[7894,7904,8078,7973,6057,6063,6213,6729,7649,7945,8021,8064,8066,8082,8088,6939,6767,7987,8036,8072,7775,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252,253,153])).
% 82.63/82.57 cnf(8163,plain,
% 82.63/82.57 (P9(a16,a2,a17,a3)),
% 82.63/82.57 inference(scs_inference,[],[7894,7904,8078,7973,6057,6063,6213,6729,7649,7945,8021,8042,8064,8066,8082,8088,6939,6767,7987,8036,8072,7775,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252,253,153,163])).
% 82.63/82.57 cnf(8165,plain,
% 82.63/82.57 (P9(a17,a2,a1,a3)),
% 82.63/82.57 inference(scs_inference,[],[7894,7904,7659,8078,7973,6057,6063,6213,6729,7649,7945,8021,8042,8064,8066,8082,8088,6939,6767,7987,8036,8072,7775,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252,253,153,163,162])).
% 82.63/82.57 cnf(8169,plain,
% 82.63/82.57 (P8(a16,a16,a16,a2,a16,a2,a16,a2)),
% 82.63/82.57 inference(scs_inference,[],[7894,7904,7659,8078,7973,6057,6063,6213,6729,7649,7945,8021,8042,8064,8066,8082,8088,6939,6767,7987,8036,8072,7775,5882,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252,253,153,163,162,793,223])).
% 82.63/82.57 cnf(8171,plain,
% 82.63/82.57 (P5(a3,a2,a3,a17)),
% 82.63/82.57 inference(scs_inference,[],[7894,7904,7659,8078,7973,6057,6063,6213,6729,7649,7945,8021,8024,8042,8064,8066,8082,8088,6939,6767,7987,8036,8072,7775,5882,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252,253,153,163,162,793,223,164])).
% 82.63/82.57 cnf(8173,plain,
% 82.63/82.57 (P4(a16,a2,a16,a16)),
% 82.63/82.57 inference(scs_inference,[],[7894,7904,7659,8078,7973,6057,6063,6213,6729,7649,7945,8021,8024,8042,8064,8066,8082,8088,6939,6767,7987,8036,8072,7775,5882,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252,253,153,163,162,793,223,164,166])).
% 82.63/82.57 cnf(8181,plain,
% 82.63/82.57 (P10(f20(a2,x81811),f7(a2,a17,a2),x81811,a2)),
% 82.63/82.57 inference(scs_inference,[],[7894,7904,7659,8078,7973,6057,6063,6213,6608,6729,7649,7945,7961,8021,8024,8042,8064,8066,8082,8088,6939,6767,7987,8036,8059,8072,8015,7775,7700,5561,5882,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252,253,153,163,162,793,223,164,166,251,168,239,155])).
% 82.63/82.57 cnf(8183,plain,
% 82.63/82.57 (P1(f23(a2,a17,a2,a2),a2,a2)),
% 82.63/82.57 inference(scs_inference,[],[7894,7904,7659,8078,7973,6057,6063,6213,6608,6729,7649,7945,7961,8021,8024,8042,8064,8066,8082,8088,8097,6939,6767,7987,8036,8059,8072,8015,7775,7700,5561,5882,7300,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252,253,153,163,162,793,223,164,166,251,168,239,155,247])).
% 82.63/82.57 cnf(8195,plain,
% 82.63/82.57 (P1(f22(a16,a2,a16,a2),a16,a2)),
% 82.63/82.57 inference(scs_inference,[],[7894,7904,7659,8078,7973,6057,6063,6213,6608,6729,7649,7945,7961,8021,8024,8042,8064,8066,8082,8088,8097,6939,6767,7987,8036,8059,8072,8015,7775,7700,5561,5882,7300,7129,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252,253,153,163,162,793,223,164,166,251,168,239,155,247,202,173,243,181,185,246])).
% 82.63/82.57 cnf(8203,plain,
% 82.63/82.57 (P10(a17,a3,a2,a3)),
% 82.63/82.57 inference(scs_inference,[],[7894,7904,7659,8078,7973,6057,6063,6213,6608,6729,7649,7945,7961,8021,8024,8034,8042,8064,8066,8082,8088,8097,6939,6767,7987,8036,8059,8072,8015,7775,7700,5445,5991,5561,5882,7300,7129,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252,253,153,163,162,793,223,164,166,251,168,239,155,247,202,173,243,181,185,246,242,186,188,237])).
% 82.63/82.57 cnf(8212,plain,
% 82.63/82.57 (P10(f24(a17,a2,a17,a2,a17,a17),a17,a17,a17)),
% 82.63/82.57 inference(scs_inference,[],[7894,7904,7659,8078,7973,6057,6063,6213,6608,6729,7649,7945,7961,8021,8024,8034,8042,8064,8066,8082,8088,8097,6939,7543,6767,7987,8036,8059,8072,8015,7775,7700,5445,5991,5561,5882,7300,7129,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252,253,153,163,162,793,223,164,166,251,168,239,155,247,202,173,243,181,185,246,242,186,188,237,220,170,187,201])).
% 82.63/82.57 cnf(8216,plain,
% 82.63/82.57 (P5(f20(a1,x82161),x82161,x82161,a1)),
% 82.63/82.57 inference(scs_inference,[],[7894,7904,7659,8078,7973,6057,6063,6213,6608,6729,7649,7945,7961,8021,8024,8034,8042,8064,8066,8082,8088,8097,6939,7543,6767,7987,7641,8036,8059,8072,8015,7775,7700,5445,5991,5561,5882,7672,7300,7147,7129,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252,253,153,163,162,793,223,164,166,251,168,239,155,247,202,173,243,181,185,246,242,186,188,237,220,170,187,201,197,240])).
% 82.63/82.57 cnf(8218,plain,
% 82.63/82.57 (P1(f13(a3,a17,a17,a2,a17),a2,a17)),
% 82.63/82.57 inference(scs_inference,[],[7894,7904,7659,8078,7973,6057,6063,6213,6608,6729,7649,7945,7961,8021,8024,8034,8042,8064,8066,8082,8088,8097,6939,7543,6767,7987,7641,8036,8059,8072,8015,7775,7700,6971,5445,5991,5561,5882,7672,7300,7147,7129,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252,253,153,163,162,793,223,164,166,251,168,239,155,247,202,173,243,181,185,246,242,186,188,237,220,170,187,201,197,240,194])).
% 82.63/82.57 cnf(8222,plain,
% 82.63/82.57 (P3(f24(a17,a2,a17,a2,a17,a17),a17,a2)),
% 82.63/82.57 inference(scs_inference,[],[7894,7904,7659,8078,7973,6057,6063,6213,6608,6729,7649,7945,7961,8021,8024,8034,8042,8064,8066,8082,8088,8097,6939,7543,6767,7987,7641,8036,8059,8072,8015,7775,7700,6971,5445,5991,5561,5882,7672,7300,4951,7147,7129,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252,253,153,163,162,793,223,164,166,251,168,239,155,247,202,173,243,181,185,246,242,186,188,237,220,170,187,201,197,240,194,196,200])).
% 82.63/82.57 cnf(8233,plain,
% 82.63/82.57 (P9(a17,a2,a3,a17)),
% 82.63/82.57 inference(scs_inference,[],[7894,7904,7659,8078,7973,6057,6063,6213,6608,6729,7649,7945,7961,7977,8021,8024,8034,8042,8064,8066,8082,8088,8097,6939,7543,6767,7987,7657,7641,8036,8059,8072,8015,7775,7700,7533,7194,6971,5445,5991,5561,5882,6892,7672,7300,4951,7147,5860,7129,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252,253,153,163,162,793,223,164,166,251,168,239,155,247,202,173,243,181,185,246,242,186,188,237,220,170,187,201,197,240,194,196,200,190,175,178,198,238])).
% 82.63/82.57 cnf(8238,plain,
% 82.63/82.57 (P9(f13(a3,a17,a17,a2,a17),a3,a2,a17)),
% 82.63/82.57 inference(scs_inference,[],[7894,7904,7659,8078,7973,6057,6063,6213,6608,6729,7649,7945,7961,7977,8021,8024,8034,8042,8064,8066,8082,8088,8097,6939,7543,6767,7987,7657,7641,8036,8059,8072,8015,7775,7700,7533,7194,6971,5445,5991,5561,5882,6892,7672,7300,4951,7147,5860,7129,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252,253,153,163,162,793,223,164,166,251,168,239,155,247,202,173,243,181,185,246,242,186,188,237,220,170,187,201,197,240,194,196,200,190,175,178,198,238,191,195])).
% 82.63/82.57 cnf(8242,plain,
% 82.63/82.57 (P4(a2,a2,f14(a2,a2,a2,a2,a16,a16),a2)),
% 82.63/82.57 inference(scs_inference,[],[7894,7904,7659,8078,7973,5941,6057,6063,6213,6608,6729,7649,7945,7961,7977,8021,8024,8034,8042,8064,8066,8082,8088,8097,6939,7543,6767,7987,7657,7528,7641,8036,8059,8072,8015,7775,7700,7533,7194,6971,5445,5991,5561,5882,6892,7672,7300,4951,5872,7147,5860,7129,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252,253,153,163,162,793,223,164,166,251,168,239,155,247,202,173,243,181,185,246,242,186,188,237,220,170,187,201,197,240,194,196,200,190,175,178,198,238,191,195,174,233])).
% 82.63/82.57 cnf(8243,plain,
% 82.63/82.57 (P8(x82431,x82432,x82431,x82432,a2,a2,a2,a2)),
% 82.63/82.57 inference(rename_variables,[],[5872])).
% 82.63/82.57 cnf(8245,plain,
% 82.63/82.57 (P8(a3,a3,a2,a3,a2,a3,a3,a3)),
% 82.63/82.57 inference(scs_inference,[],[7894,7904,7659,8078,7973,5941,6057,6063,6213,6608,6729,7649,7945,7961,7967,7977,8021,8024,8034,8042,8064,8066,8082,8088,8097,6939,7543,6767,7987,7657,7528,7641,8036,8059,8072,8015,7775,7700,7533,7194,6971,5445,5991,5561,5882,6892,7672,7300,4951,5872,7147,5860,7129,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252,253,153,163,162,793,223,164,166,251,168,239,155,247,202,173,243,181,185,246,242,186,188,237,220,170,187,201,197,240,194,196,200,190,175,178,198,238,191,195,174,233,259])).
% 82.63/82.57 cnf(8250,plain,
% 82.63/82.57 (P3(a3,a17,a2)),
% 82.63/82.57 inference(scs_inference,[],[7894,7904,7659,8078,7973,5941,6057,6063,6213,6608,6729,7649,7945,7961,7967,7977,8002,8021,8024,8034,8042,8064,8066,8082,8088,8097,6939,7543,6767,7987,7657,7528,7641,8036,8059,8072,8015,7775,7700,5670,7533,7194,6971,5445,5991,5561,5882,5082,7102,6892,7672,7300,4951,5872,7147,5860,7129,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252,253,153,163,162,793,223,164,166,251,168,239,155,247,202,173,243,181,185,246,242,186,188,237,220,170,187,201,197,240,194,196,200,190,175,178,198,238,191,195,174,233,259,224,159])).
% 82.63/82.57 cnf(8252,plain,
% 82.63/82.57 (P2(f10(a2,a16,a16),a2,a16,a16)),
% 82.63/82.57 inference(scs_inference,[],[7894,7904,7659,8078,7973,5941,6057,6063,6213,6608,6729,7649,7945,7961,7967,7977,8002,8021,8024,8034,8042,8064,8066,8082,8088,8097,6939,7543,6767,7987,7657,7528,7641,8036,8059,8072,8015,7775,7700,7664,5670,7533,7194,6971,5445,5991,5561,5882,5082,6302,7102,6892,7672,7300,4951,5872,7147,5860,7129,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252,253,153,163,162,793,223,164,166,251,168,239,155,247,202,173,243,181,185,246,242,186,188,237,220,170,187,201,197,240,194,196,200,190,175,178,198,238,191,195,174,233,259,224,159,189])).
% 82.63/82.57 cnf(8261,plain,
% 82.63/82.57 (P1(f27(a2,a2,a2,a3,a2,a3),a3,a2)),
% 82.63/82.57 inference(scs_inference,[],[7894,7904,7659,8078,7973,5941,6057,6063,6213,6608,6729,7649,7945,7961,7967,7977,8002,8021,8024,8034,8042,8064,8066,8082,8088,8097,6939,7543,6767,7987,7657,7528,7641,8036,8059,8072,8015,7775,7700,7664,5670,7533,7194,6971,5445,5991,5561,5882,5082,6302,7714,7102,6892,5840,5470,7672,7300,4951,5872,8243,7147,5860,7129,5191,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252,253,153,163,162,793,223,164,166,251,168,239,155,247,202,173,243,181,185,246,242,186,188,237,220,170,187,201,197,240,194,196,200,190,175,178,198,238,191,195,174,233,259,224,159,189,248,203,206,205])).
% 82.63/82.57 cnf(8265,plain,
% 82.63/82.57 (P5(a17,a17,a17,a3)),
% 82.63/82.57 inference(scs_inference,[],[142,7894,7904,7659,8078,7973,5941,6057,6063,6213,6608,6729,7649,7945,7961,7967,7977,8002,8021,8024,8034,8042,8064,8066,8082,8088,8097,6939,7543,6767,7987,7657,7528,7641,8036,8059,8072,8015,7775,7700,7664,5670,7533,7194,6971,5445,4829,5991,5561,5882,5082,6302,7714,7102,6455,5196,6892,5840,5470,7672,7300,4951,5872,8243,7147,5860,7129,5191,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252,253,153,163,162,793,223,164,166,251,168,239,155,247,202,173,243,181,185,246,242,186,188,237,220,170,187,201,197,240,194,196,200,190,175,178,198,238,191,195,174,233,259,224,159,189,248,203,206,205,204,887])).
% 82.63/82.57 cnf(8275,plain,
% 82.63/82.57 (P10(a16,a2,a16,a2)),
% 82.63/82.57 inference(scs_inference,[],[142,7894,7904,7659,8078,7973,5941,6057,6063,6213,6608,6729,7649,7945,7961,7967,7977,8002,8021,8024,8034,8042,8064,8066,8082,8088,8097,6939,7543,6767,7987,7657,7528,7641,8036,8059,8072,8015,7775,7700,7664,5670,7533,7194,6971,5445,4829,5991,5561,5882,5082,6302,7714,7102,6455,5196,6892,5840,5470,7672,7300,4951,5872,8243,7147,5860,7129,5191,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252,253,153,163,162,793,223,164,166,251,168,239,155,247,202,173,243,181,185,246,242,186,188,237,220,170,187,201,197,240,194,196,200,190,175,178,198,238,191,195,174,233,259,224,159,189,248,203,206,205,204,887,5796,3064,476,3059,230])).
% 82.63/82.57 cnf(8277,plain,
% 82.63/82.57 (P10(a17,a2,a2,a16)),
% 82.63/82.57 inference(scs_inference,[],[142,7894,7904,7659,8078,7973,5941,6057,6063,6213,6608,6729,7649,7945,7961,7967,7977,8002,8021,8024,8034,8042,8064,8066,8082,8088,8097,6939,7543,6767,7987,7657,7528,7641,8036,8059,8072,8015,7775,7700,7664,5670,7533,7194,6971,5445,4829,5991,5561,5882,5082,6302,7714,7102,6455,5196,6892,5840,5470,7672,7300,4951,5872,8243,7147,5860,7129,5191,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252,253,153,163,162,793,223,164,166,251,168,239,155,247,202,173,243,181,185,246,242,186,188,237,220,170,187,201,197,240,194,196,200,190,175,178,198,238,191,195,174,233,259,224,159,189,248,203,206,205,204,887,5796,3064,476,3059,230,350])).
% 82.63/82.57 cnf(8279,plain,
% 82.63/82.57 (P7(a2,a3,a3,a17,a2,a3,a3,a17)),
% 82.63/82.57 inference(scs_inference,[],[142,7894,7904,7659,8078,7973,5941,6057,6063,6213,6608,6729,7649,7945,7961,7967,7977,8002,8021,8024,8034,8042,8064,8066,8082,8088,8097,6939,7543,6767,7987,7657,7528,7641,8036,8059,8072,8015,7775,7700,7664,5670,7533,7194,6971,5445,4829,5991,5561,5882,5082,6302,7714,7102,6455,5196,6892,5840,5470,7672,7300,4951,5872,8243,7147,5860,7129,5191,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252,253,153,163,162,793,223,164,166,251,168,239,155,247,202,173,243,181,185,246,242,186,188,237,220,170,187,201,197,240,194,196,200,190,175,178,198,238,191,195,174,233,259,224,159,189,248,203,206,205,204,887,5796,3064,476,3059,230,350,4327])).
% 82.63/82.57 cnf(8289,plain,
% 82.63/82.57 (P1(f15(a3,a2,a3,a3),a3,a2)),
% 82.63/82.57 inference(scs_inference,[],[142,7894,7904,6983,7659,8078,7973,5941,6057,6063,6213,6608,6729,7649,7945,7961,7967,7977,8002,8021,8024,8034,8042,8064,8066,8082,8088,8097,6939,7543,6767,7987,7657,7528,7641,8036,8059,8072,8015,7775,7700,7664,5670,7533,7194,6971,5445,4829,5991,5561,5882,5082,6302,7714,7102,6455,5196,6892,5840,5470,7672,7300,4951,5872,8243,7147,5860,7129,5729,5191,4331,150,255,165,781,4634,160,149,1583,157,254,151,256,1601,250,221,442,222,249,148,161,167,252,253,153,163,162,793,223,164,166,251,168,239,155,247,202,173,243,181,185,246,242,186,188,237,220,170,187,201,197,240,194,196,200,190,175,178,198,238,191,195,174,233,259,224,159,189,248,203,206,205,204,887,5796,3064,476,3059,230,350,4327,1340,511,184,217,245])).
% 82.63/82.57 cnf(8304,plain,
% 82.63/82.57 (P5(a17,a3,a2,a3)),
% 82.63/82.57 inference(scs_inference,[],[8026,8222,8195,8218,4331,781,150,165])).
% 82.63/82.57 cnf(8306,plain,
% 82.63/82.57 (P7(a3,a2,a2,a3,a3,a2,a3,a2)),
% 82.63/82.57 inference(scs_inference,[],[6737,8026,8222,8195,8218,4331,781,150,165,255])).
% 82.63/82.57 cnf(8310,plain,
% 82.63/82.57 (P7(a19,a3,a3,a19,a3,a16,a3,a16)),
% 82.63/82.57 inference(scs_inference,[],[6737,6588,8026,6324,8222,8195,8218,4331,781,150,165,255,149,256])).
% 82.63/82.57 cnf(8312,plain,
% 82.63/82.57 (P10(a16,a16,a17,a2)),
% 82.63/82.57 inference(scs_inference,[],[8080,6737,6588,8026,6324,8222,8195,8218,4331,781,150,165,255,149,256,160])).
% 82.63/82.57 cnf(8322,plain,
% 82.63/82.57 (P3(a3,a2,a17)),
% 82.63/82.57 inference(scs_inference,[],[8080,6737,6588,8026,8173,8250,7174,6324,8222,8195,8218,4331,781,150,165,255,149,256,160,1583,254,1601,221,151])).
% 82.63/82.57 cnf(8324,plain,
% 82.63/82.57 (P1(a1,a3,a1)),
% 82.63/82.57 inference(scs_inference,[],[8080,6737,6588,8026,8131,8173,8250,7174,6324,8222,8195,8218,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148])).
% 82.63/82.57 cnf(8326,plain,
% 82.63/82.57 (P8(a17,a2,x83261,x83262,a16,a16,x83261,x83262)),
% 82.63/82.57 inference(scs_inference,[],[8080,6737,6588,8026,8131,8173,8250,7174,6324,8222,8195,8218,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222])).
% 82.63/82.57 cnf(8328,plain,
% 82.63/82.57 (P8(a3,a17,a18,a18,a19,a19,a2,a2)),
% 82.63/82.57 inference(scs_inference,[],[8080,6737,7394,6588,8026,8131,8173,8250,7174,6324,8222,8195,8218,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250])).
% 82.63/82.57 cnf(8334,plain,
% 82.63/82.57 (P10(a16,a16,a2,a16)),
% 82.63/82.57 inference(scs_inference,[],[8080,6737,7394,6588,7821,8026,8131,8173,8250,7174,6324,8222,8195,8218,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161])).
% 82.63/82.57 cnf(8340,plain,
% 82.63/82.57 (P4(a16,a16,a2,a16)),
% 82.63/82.57 inference(scs_inference,[],[8080,6737,7394,6588,7168,7821,8026,8131,8173,8250,7174,6324,8222,8261,8195,8218,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161,253,793,167])).
% 82.63/82.57 cnf(8342,plain,
% 82.63/82.57 (P5(a17,a3,a17,a17)),
% 82.63/82.57 inference(scs_inference,[],[8080,6737,7394,6588,7168,7821,8026,8131,8135,8173,8250,7174,6324,8222,8261,8195,8218,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161,253,793,167,153])).
% 82.63/82.57 cnf(8346,plain,
% 82.63/82.57 (P8(a17,a17,a17,a2,a17,a2,a17,a2)),
% 82.63/82.57 inference(scs_inference,[],[8080,6737,7394,6588,7168,7821,8026,8131,8135,8161,8173,8250,7174,6324,8222,8261,8195,8218,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161,253,793,167,153,252,223])).
% 82.63/82.57 cnf(8348,plain,
% 82.63/82.57 (P9(a17,a2,a3,a1)),
% 82.63/82.57 inference(scs_inference,[],[8080,6737,7394,6588,7168,7821,8026,8131,8135,8161,8165,8173,8250,7174,6324,8222,8261,8195,8218,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161,253,793,167,153,252,223,163])).
% 82.63/82.57 cnf(8352,plain,
% 82.63/82.57 (P5(a3,a2,a17,a3)),
% 82.63/82.57 inference(scs_inference,[],[8080,7810,6737,7394,6588,7168,7821,8026,8131,8135,8161,8165,8173,8250,7174,6324,8222,8261,8195,8218,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161,253,793,167,153,252,223,163,162,164])).
% 82.63/82.57 cnf(8356,plain,
% 82.63/82.57 (P8(x83561,x83562,x83561,x83562,a2,a2,a3,a17)),
% 82.63/82.57 inference(scs_inference,[],[8080,7810,6737,7394,8123,6588,7168,7821,8026,8131,8135,8161,8165,8173,8250,7174,6324,8222,8261,7975,8195,8218,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161,253,793,167,153,252,223,163,162,164,166,251])).
% 82.63/82.57 cnf(8363,plain,
% 82.63/82.57 (P9(x83631,x83632,x83632,x83631)),
% 82.63/82.57 inference(rename_variables,[],[5729])).
% 82.63/82.57 cnf(8367,plain,
% 82.63/82.57 (P1(a2,a2,f23(a2,a2,a3,a3))),
% 82.63/82.57 inference(scs_inference,[],[8080,7810,6737,7394,8123,6588,7168,7821,8026,8131,8135,8141,8161,8165,8173,8245,8250,7174,6324,8222,8261,7975,8242,8195,8218,4548,5729,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161,253,793,167,153,252,223,163,162,164,166,251,168,202,244,247,243])).
% 82.63/82.57 cnf(8371,plain,
% 82.63/82.57 (P2(a17,a17,a2,a2)),
% 82.63/82.57 inference(scs_inference,[],[8080,7810,6737,7394,8123,6588,7168,7821,8026,8131,8135,8141,8161,8165,8171,8173,8245,8250,7174,6324,8222,8261,7975,8242,8195,8218,6848,4548,5729,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161,253,793,167,153,252,223,163,162,164,166,251,168,202,244,247,243,173,181])).
% 82.63/82.57 cnf(8374,plain,
% 82.63/82.57 (P9(x83741,x83742,x83742,x83741)),
% 82.63/82.57 inference(rename_variables,[],[5729])).
% 82.63/82.57 cnf(8376,plain,
% 82.63/82.57 (P5(a3,a2,a3,f4(a2,a17,a3))),
% 82.63/82.57 inference(scs_inference,[],[8080,7810,6737,7394,8123,6588,7168,7821,8026,8131,8135,8141,8161,8165,8171,8173,8245,8250,7174,6324,8222,8261,7975,8242,8195,8218,5021,6848,4548,5729,8363,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161,253,793,167,153,252,223,163,162,164,166,251,168,202,244,247,243,173,181,186,185])).
% 82.63/82.57 cnf(8384,plain,
% 82.63/82.57 (P5(a1,a2,a1,a17)),
% 82.63/82.57 inference(scs_inference,[],[8080,7810,6737,7394,8123,6588,7168,7821,8026,8131,8135,8141,8161,8165,8171,8173,8245,8250,7174,6324,8222,8261,7975,8242,8195,8218,5021,4955,6848,5206,4548,6653,5729,8363,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161,253,793,167,153,252,223,163,162,164,166,251,168,202,244,247,243,173,181,186,185,188,246,242,170])).
% 82.63/82.57 cnf(8386,plain,
% 82.63/82.57 (P10(a2,a16,a2,a3)),
% 82.63/82.57 inference(scs_inference,[],[8080,7810,6737,7394,7989,8123,6588,7168,7821,8026,8131,8135,8141,8161,8165,8171,8173,8245,8250,7174,6324,8222,8261,7975,8242,8195,8218,5021,6457,4955,6848,5206,4548,6653,5729,8363,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161,253,793,167,153,252,223,163,162,164,166,251,168,202,244,247,243,173,181,186,185,188,246,242,170,237])).
% 82.63/82.57 cnf(8393,plain,
% 82.63/82.57 (P9(a17,f6(a18,a17,a18),a18,a18)),
% 82.63/82.57 inference(scs_inference,[],[8080,7810,6737,7394,7989,8123,6588,7168,7821,8026,8131,8135,8141,8161,8165,8171,8173,8245,8250,7174,6324,8222,8261,7975,8242,8195,8218,5021,6457,4955,6848,5206,4548,6653,5729,8363,8374,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161,253,793,167,153,252,223,163,162,164,166,251,168,202,244,247,243,173,181,186,185,188,246,242,170,237,220,201,187])).
% 82.63/82.57 cnf(8394,plain,
% 82.63/82.57 (P9(x83941,x83942,x83942,x83941)),
% 82.63/82.57 inference(rename_variables,[],[5729])).
% 82.63/82.57 cnf(8402,plain,
% 82.63/82.57 (P5(a16,a1,a16,a1)),
% 82.63/82.57 inference(scs_inference,[],[8080,7810,6737,7394,7989,8123,6588,7168,7821,8026,8131,8135,8137,8141,8161,8165,8171,8173,8245,8250,7174,6324,8222,8261,7975,8242,8195,8218,5021,6457,4955,6848,6857,5975,5206,4548,6653,5729,8363,8374,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161,253,793,167,153,252,223,163,162,164,166,251,168,202,244,247,243,173,181,186,185,188,246,242,170,237,220,201,187,197,194,196,240])).
% 82.63/82.57 cnf(8404,plain,
% 82.63/82.57 (P3(f24(a3,a17,a3,a17,a17,a17),a3,a17)),
% 82.63/82.57 inference(scs_inference,[],[8080,7810,6737,7394,7989,8123,6588,7168,7821,8026,8131,8135,8137,8141,8161,8165,8171,8173,8245,8250,7174,6324,8222,8261,7975,8242,8195,8218,5021,6457,4955,6848,6857,5975,5206,4548,6653,5729,8363,8374,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161,253,793,167,153,252,223,163,162,164,166,251,168,202,244,247,243,173,181,186,185,188,246,242,170,237,220,201,187,197,194,196,240,200])).
% 82.63/82.57 cnf(8412,plain,
% 82.63/82.57 (P9(a16,a2,a16,a16)),
% 82.63/82.57 inference(scs_inference,[],[8080,7810,6737,7394,7989,8123,6588,7168,7821,8026,8119,8131,8135,8137,8141,8161,8165,8171,8173,8245,8250,7174,6324,8222,8261,7975,8242,8195,8218,5021,6457,4955,6848,6857,5975,5206,4548,6653,5729,8363,8374,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161,253,793,167,153,252,223,163,162,164,166,251,168,202,244,247,243,173,181,186,185,188,246,242,170,237,220,201,187,197,194,196,240,200,190,191,198,178])).
% 82.63/82.57 cnf(8415,plain,
% 82.63/82.57 (P9(x84151,x84152,x84152,x84151)),
% 82.63/82.57 inference(rename_variables,[],[5729])).
% 82.63/82.57 cnf(8417,plain,
% 82.63/82.57 (P9(a3,a17,a3,a3)),
% 82.63/82.57 inference(scs_inference,[],[8080,7810,6737,7394,7989,8123,6079,6588,7168,7821,8026,8119,8131,8135,8137,8141,8161,8165,8171,8173,8245,8250,7174,6324,8222,8261,7975,8242,8195,8218,5021,5987,6457,4955,6848,6857,5975,5206,4548,6653,5729,8363,8374,8394,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161,253,793,167,153,252,223,163,162,164,166,251,168,202,244,247,243,173,181,186,185,188,246,242,170,237,220,201,187,197,194,196,240,200,190,191,198,178,175,238])).
% 82.63/82.57 cnf(8429,plain,
% 82.63/82.57 (P3(a2,a17,a3)),
% 82.63/82.57 inference(scs_inference,[],[8080,7810,6737,7394,8129,7989,8123,6079,6588,7168,7821,8026,8119,8131,8135,8137,8141,8161,8165,8171,8173,8245,8250,7174,6324,8222,8261,7975,8242,7069,8195,8218,7875,5021,5987,6457,8064,4955,6848,6857,5975,5231,5206,4548,5872,6653,5729,8363,8374,8394,8415,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161,253,793,167,153,252,223,163,162,164,166,251,168,202,244,247,243,173,181,186,185,188,246,242,170,237,220,201,187,197,194,196,240,200,190,191,198,178,175,238,195,174,233,224,159])).
% 82.63/82.57 cnf(8431,plain,
% 82.63/82.57 (P2(f10(a2,a2,a17),a2,a2,a17)),
% 82.63/82.57 inference(scs_inference,[],[8080,7810,6737,7394,8129,7989,8123,6079,6588,7168,7821,8026,8119,8125,8131,8135,8137,8141,8161,8165,8171,8173,8245,8250,7174,6324,8222,8261,7975,8242,7069,8195,8218,7875,7279,5021,5987,6457,8064,4955,6848,6857,6430,5975,5231,5206,4548,5872,6653,5729,8363,8374,8394,8415,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161,253,793,167,153,252,223,163,162,164,166,251,168,202,244,247,243,173,181,186,185,188,246,242,170,237,220,201,187,197,194,196,240,200,190,191,198,178,175,238,195,174,233,224,159,189])).
% 82.63/82.57 cnf(8433,plain,
% 82.63/82.57 (P1(f27(a3,a2,a3,a2,a17,a3),a3,a2)),
% 82.63/82.57 inference(scs_inference,[],[8080,7810,6737,7394,8129,7989,8123,6079,6588,7168,7821,8026,8119,8125,8131,8135,8137,8141,8161,8165,8171,8173,8245,8250,7174,6324,8222,8261,7975,8242,7069,8195,8218,7875,7279,5021,5987,6457,7390,8064,4955,6848,6857,6430,5632,8088,5975,5231,6735,5206,4548,5872,6653,5729,8363,8374,8394,8415,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161,253,793,167,153,252,223,163,162,164,166,251,168,202,244,247,243,173,181,186,185,188,246,242,170,237,220,201,187,197,194,196,240,200,190,191,198,178,175,238,195,174,233,224,159,189,206])).
% 82.63/82.57 cnf(8434,plain,
% 82.63/82.57 (P10(a3,a3,x84341,x84341)),
% 82.63/82.57 inference(rename_variables,[],[5632])).
% 82.63/82.57 cnf(8437,plain,
% 82.63/82.57 (P10(a3,a3,x84371,x84371)),
% 82.63/82.57 inference(rename_variables,[],[5632])).
% 82.63/82.57 cnf(8449,plain,
% 82.63/82.57 (P10(a17,f5(a17,a18,a18),a17,a17)),
% 82.63/82.57 inference(scs_inference,[],[8080,7810,6737,7394,8129,7989,8123,6079,6588,7168,7821,8026,8119,8125,8131,8135,8137,8141,8161,8165,8171,8173,8245,8250,7174,6324,8222,8261,7975,8242,7069,8195,8218,7875,7279,5021,5987,6457,7390,5195,8064,4955,6848,7593,6857,6430,5632,8434,8437,8088,5652,5975,5231,6735,5206,4548,5872,6653,5729,8363,8374,8394,8415,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161,253,793,167,153,252,223,163,162,164,166,251,168,202,244,247,243,173,181,186,185,188,246,242,170,237,220,201,187,197,194,196,240,200,190,191,198,178,175,238,195,174,233,224,159,189,206,203,205,204,602,544,4251])).
% 82.63/82.57 cnf(8451,plain,
% 82.63/82.57 (P10(a17,a17,a17,a2)),
% 82.63/82.57 inference(scs_inference,[],[8080,7810,6737,7394,8129,7989,8123,6079,6588,7168,7821,8026,8119,8125,8131,8135,8137,8141,8161,8165,8171,8173,8245,8250,7174,6324,8222,8261,7975,8242,7069,8195,8218,7875,7279,5021,5987,6457,7390,5195,8064,4955,6848,7593,6857,6430,5632,8434,8437,8088,5652,5975,5231,6735,5206,4548,5872,6653,5729,8363,8374,8394,8415,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161,253,793,167,153,252,223,163,162,164,166,251,168,202,244,247,243,173,181,186,185,188,246,242,170,237,220,201,187,197,194,196,240,200,190,191,198,178,175,238,195,174,233,224,159,189,206,203,205,204,602,544,4251,230])).
% 82.63/82.57 cnf(8453,plain,
% 82.63/82.57 (P10(a2,a17,a2,a16)),
% 82.63/82.57 inference(scs_inference,[],[8080,7810,6737,7394,8129,7989,8123,6079,6588,7168,7821,8026,8119,8125,8131,8135,8137,8141,8161,8165,8171,8173,8245,8250,7174,6324,8222,8261,7975,8242,7069,8195,8218,7875,7279,5021,5987,6457,7390,5195,8064,4955,6848,7593,6857,6430,5632,8434,8437,8088,5652,5975,5231,6735,5206,4548,5872,6653,5729,8363,8374,8394,8415,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161,253,793,167,153,252,223,163,162,164,166,251,168,202,244,247,243,173,181,186,185,188,246,242,170,237,220,201,187,197,194,196,240,200,190,191,198,178,175,238,195,174,233,224,159,189,206,203,205,204,602,544,4251,230,350])).
% 82.63/82.57 cnf(8457,plain,
% 82.63/82.57 (P1(a2,a16,a3)),
% 82.63/82.57 inference(scs_inference,[],[8080,7810,6737,7394,8129,7989,8123,6079,6588,7168,7821,8026,8119,8125,8131,8135,8137,8141,8161,8165,8171,8173,8245,8250,7174,6324,8222,8261,7975,8242,7069,8195,8218,7875,7279,5021,5987,6457,7390,5195,8064,4955,6848,7593,6857,6430,5632,8434,8437,8088,5652,5975,5231,6735,5206,4548,5872,6653,5729,8363,8374,8394,8415,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161,253,793,167,153,252,223,163,162,164,166,251,168,202,244,247,243,173,181,186,185,188,246,242,170,237,220,201,187,197,194,196,240,200,190,191,198,178,175,238,195,174,233,224,159,189,206,203,205,204,602,544,4251,230,350,4327,157])).
% 82.63/82.57 cnf(8459,plain,
% 82.63/82.57 (P9(f8(a17,a2,a2,a17),a17,a17,a17)),
% 82.63/82.57 inference(scs_inference,[],[8080,7810,6737,7394,8129,7989,8123,6079,6588,7168,7821,8026,8119,8125,8131,8135,8137,8141,8161,8165,8171,8173,8245,8250,7174,6324,8222,8261,7975,8242,7069,8195,8218,7875,7279,5021,5987,6457,7390,5195,8064,4955,6848,7593,6857,6430,5632,8434,8437,8088,5652,5975,5231,6735,5206,4548,5872,6653,5729,8363,8374,8394,8415,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161,253,793,167,153,252,223,163,162,164,166,251,168,202,244,247,243,173,181,186,185,188,246,242,170,237,220,201,187,197,194,196,240,200,190,191,198,178,175,238,195,174,233,224,159,189,206,203,205,204,602,544,4251,230,350,4327,157,184])).
% 82.63/82.57 cnf(8463,plain,
% 82.63/82.57 (P9(a17,a2,a2,a2)),
% 82.63/82.57 inference(scs_inference,[],[8080,7810,6737,7394,8129,7989,8123,6079,6588,7168,7821,8026,8119,8125,8131,8135,8137,8141,8161,8165,8171,8173,8245,8250,7174,6324,8222,8261,7975,8242,7069,8195,8218,7875,7279,5021,5987,6457,7390,5195,8064,392,4955,6848,7593,6857,6430,6859,5632,8434,8437,8088,5652,5975,5231,6735,5206,4548,5872,6653,5729,8363,8374,8394,8415,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161,253,793,167,153,252,223,163,162,164,166,251,168,202,244,247,243,173,181,186,185,188,246,242,170,237,220,201,187,197,194,196,240,200,190,191,198,178,175,238,195,174,233,224,159,189,206,203,205,204,602,544,4251,230,350,4327,157,184,231,169])).
% 82.63/82.57 cnf(8465,plain,
% 82.63/82.57 (P7(a2,a16,a16,a3,a2,a16,a16,a3)),
% 82.63/82.57 inference(scs_inference,[],[8080,7810,6737,7394,8129,7989,8123,6079,6588,7168,7821,8026,8119,8125,8131,8135,8137,8141,8161,8165,8171,8173,8245,8250,7174,6324,8222,8261,7975,8242,7069,8195,8218,7875,7279,5021,5987,6457,7390,5195,8064,392,4955,6848,7593,6857,6430,6859,5632,8434,8437,8088,5652,5975,5231,6735,5206,4548,5872,6653,5729,8363,8374,8394,8415,4331,781,150,165,255,149,256,160,1583,254,1601,221,151,148,222,250,442,249,161,253,793,167,153,252,223,163,162,164,166,251,168,202,244,247,243,173,181,186,185,188,246,242,170,237,220,201,187,197,194,196,240,200,190,191,198,178,175,238,195,174,233,224,159,189,206,203,205,204,602,544,4251,230,350,4327,157,184,231,169,1343])).
% 82.63/82.57 cnf(8469,plain,
% 82.63/82.57 (P10(a17,f6(a18,a17,a18),a17,a17)),
% 82.63/82.57 inference(scs_inference,[],[8393,4251])).
% 82.63/82.57 cnf(8473,plain,
% 82.63/82.57 (P5(a1,a2,a17,a1)),
% 82.63/82.57 inference(scs_inference,[],[8384,8404,8393,4251,150,165])).
% 82.63/82.57 cnf(8475,plain,
% 82.63/82.57 (P1(a2,a17,a16)),
% 82.63/82.57 inference(scs_inference,[],[8384,8453,8404,8393,4251,150,165,157])).
% 82.63/82.57 cnf(8477,plain,
% 82.63/82.57 (P1(a1,a1,a3)),
% 82.63/82.57 inference(scs_inference,[],[8324,8384,8453,8404,8393,4251,150,165,157,149])).
% 82.63/82.57 cnf(8479,plain,
% 82.63/82.57 (P10(a2,a16,a17,a2)),
% 82.63/82.57 inference(scs_inference,[],[8277,8324,8384,8453,8404,8393,4251,150,165,157,149,160])).
% 82.63/82.57 cnf(8485,plain,
% 82.63/82.57 (P7(a2,a3,a2,a3,a3,a17,a3,a17)),
% 82.63/82.57 inference(scs_inference,[],[8279,8277,8324,8384,8453,8404,8393,4251,150,165,157,149,160,255,254,256])).
% 82.63/82.57 cnf(8487,plain,
% 82.63/82.57 (P3(a2,a3,a17)),
% 82.63/82.57 inference(scs_inference,[],[8279,8277,8324,8384,8429,8453,8404,8393,4251,150,165,157,149,160,255,254,256,151])).
% 82.63/82.57 cnf(8491,plain,
% 82.63/82.57 (P8(a17,a17,x84911,x84912,a2,a16,x84911,x84912)),
% 82.63/82.57 inference(scs_inference,[],[8279,7759,8277,8324,8384,8429,8453,7378,8404,8393,4251,150,165,157,149,160,255,254,256,151,1583,222])).
% 82.63/82.57 cnf(8493,plain,
% 82.63/82.57 (P1(a16,a2,a3)),
% 82.63/82.57 inference(scs_inference,[],[8279,7759,8277,8324,8384,8429,8453,8457,7378,8404,8393,4251,150,165,157,149,160,255,254,256,151,1583,222,148])).
% 82.63/82.57 cnf(8497,plain,
% 82.63/82.57 (P8(x84971,x84972,a3,a3,x84971,x84972,a2,a16)),
% 82.63/82.57 inference(scs_inference,[],[8279,7759,8277,7965,8324,8340,8384,8429,8453,8457,7378,8404,8393,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250])).
% 82.63/82.57 cnf(8503,plain,
% 82.63/82.57 (P10(a17,a2,a16,a2)),
% 82.63/82.57 inference(scs_inference,[],[8279,7759,8277,7965,8324,8340,8384,8429,8453,8457,7378,8404,8393,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161])).
% 82.63/82.57 cnf(8505,plain,
% 82.63/82.57 (P8(a2,a3,x85051,x85052,a2,a2,x85051,x85052)),
% 82.63/82.57 inference(scs_inference,[],[8279,7759,8277,7965,8147,8324,8340,8384,8429,8453,8457,7378,8404,8393,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249])).
% 82.63/82.57 cnf(8507,plain,
% 82.63/82.57 (P8(a3,a3,a2,a16,x85071,x85072,x85071,x85072)),
% 82.63/82.57 inference(scs_inference,[],[8279,7759,8277,7965,8147,8324,8340,8384,8429,8453,8457,7378,8404,8393,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252])).
% 82.63/82.57 cnf(8509,plain,
% 82.63/82.57 (P8(a17,a17,a17,a3,a17,a3,a17,a3)),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8277,7965,8147,8324,8340,8384,8429,8453,8457,7378,8404,8393,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223])).
% 82.63/82.57 cnf(8513,plain,
% 82.63/82.57 (P5(a2,a17,a2,a3)),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8277,7965,8147,7374,8324,8340,8384,8429,8453,8457,7378,8404,8393,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223,253,153])).
% 82.63/82.57 cnf(8517,plain,
% 82.63/82.57 (P4(a2,a2,f23(a2,a2,a3,a2),a2)),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8277,7965,8147,7374,8324,8340,8384,8429,8453,8457,7378,8289,8404,7549,8393,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223,253,153,793,167])).
% 82.63/82.57 cnf(8519,plain,
% 82.63/82.57 (P9(a17,a2,a17,a3)),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8277,7965,8147,7374,8233,8324,8340,8384,8429,8453,8457,7378,8289,8404,7549,8393,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223,253,153,793,167,163])).
% 82.63/82.57 cnf(8521,plain,
% 82.63/82.57 (P9(a1,a1,a2,a16)),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8277,7850,7965,8147,7374,8233,8324,8340,8384,8429,8453,8457,7378,8289,8404,7549,8393,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223,253,153,793,167,163,162])).
% 82.63/82.57 cnf(8523,plain,
% 82.63/82.57 (P5(a2,a3,a17,a3)),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8277,7850,7965,8147,7374,8233,8304,8324,8340,8384,8429,8453,8457,7378,8289,8404,7549,8393,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223,253,153,793,167,163,162,164])).
% 82.63/82.57 cnf(8525,plain,
% 82.63/82.57 (P8(a2,a17,x85251,x85252,a16,a16,x85251,x85252)),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8277,7850,7965,8147,8326,7374,8233,8304,8324,8340,8384,8429,8453,8457,7378,8289,8404,7549,8393,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223,253,153,793,167,163,162,164,251])).
% 82.63/82.57 cnf(8531,plain,
% 82.63/82.57 (P4(a2,a2,f20(a2,a2),f20(a2,a2))),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8277,7850,7965,8147,8326,7374,8233,8304,8324,8340,8384,8429,8453,8457,7378,8289,8404,7443,7785,7549,8393,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223,253,153,793,167,163,162,164,251,166,168,182])).
% 82.63/82.57 cnf(8533,plain,
% 82.63/82.57 (P10(f24(a2,a17,a2,a17,a3,a3),a3,a17,a17)),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8277,7850,7965,8147,8326,7374,8233,8304,8322,8324,8340,8384,8429,8453,8457,7378,8289,8404,7443,7785,7549,8393,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223,253,153,793,167,163,162,164,251,166,168,182,202])).
% 82.63/82.57 cnf(8538,plain,
% 82.63/82.57 (P3(a3,a3,f4(a3,a17,a3))),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8277,7850,7965,8147,8326,7374,8233,8304,8322,8324,8340,8384,8429,8453,8457,7378,6624,6639,8289,8404,7443,7785,7549,8393,7961,5729,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223,253,153,793,167,163,162,164,251,166,168,182,202,247,158])).
% 82.63/82.57 cnf(8542,plain,
% 82.63/82.57 (P2(a17,a17,a3,a3)),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8277,7850,7965,8147,8326,7374,8233,8304,8322,8324,8340,8384,8429,8453,8457,7378,6624,6639,8289,8404,7443,7785,7549,8393,7961,5975,5729,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223,253,153,793,167,163,162,164,251,166,168,182,202,247,158,173,181])).
% 82.63/82.57 cnf(8550,plain,
% 82.63/82.57 (P5(a17,a17,a2,a3)),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8277,7850,7965,8147,8326,7374,8233,8304,8322,8324,8340,8384,8429,8453,8457,7378,6624,6639,8289,8404,7443,7785,7549,8393,7961,5975,5729,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223,253,153,793,167,163,162,164,251,166,168,182,202,247,158,173,181,246,185,242,180])).
% 82.63/82.57 cnf(8554,plain,
% 82.63/82.57 (P10(a18,a18,a2,a16)),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8277,7850,8463,7965,8147,8326,7374,8233,8304,8322,8324,8340,8384,8429,8453,8457,7378,6624,6639,8289,8404,7443,7785,7549,8393,7435,7961,5076,5975,5729,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223,253,153,793,167,163,162,164,251,166,168,182,202,247,158,173,181,246,185,242,180,186,237])).
% 82.63/82.57 cnf(8557,plain,
% 82.63/82.57 (P2(f9(a17,a2,a2),a17,a2,a2)),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8277,7850,8463,7965,8147,8326,7374,8233,8304,8322,8324,8340,8384,8429,8453,8457,7378,6624,6639,8289,8404,7443,7785,7549,8393,7435,6795,7961,5076,5975,5729,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223,253,153,793,167,163,162,164,251,166,168,182,202,247,158,173,181,246,185,242,180,186,237,188])).
% 82.63/82.57 cnf(8567,plain,
% 82.63/82.57 (P5(a1,a2,a1,a2)),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8277,7850,8463,7965,8147,8326,7374,8233,8304,8322,8324,8340,8384,8429,8453,8457,7378,6624,6639,8289,8404,7443,7785,7549,8238,8393,7435,6795,7226,7961,5076,4871,7494,5975,5729,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223,253,153,793,167,163,162,164,251,166,168,182,202,247,158,173,181,246,185,242,180,186,237,188,170,197,220,201,240])).
% 82.63/82.57 cnf(8573,plain,
% 82.63/82.57 (P3(f24(a2,a17,a2,a17,a3,a3),a2,a17)),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8277,7850,8463,7965,8147,8326,7374,8151,8233,8304,8322,8324,8340,8384,8429,8453,8457,7378,6624,6639,8289,8404,7443,7785,7549,8238,8393,7435,6795,7226,7961,5076,4871,7494,5975,5729,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223,253,153,793,167,163,162,164,251,166,168,182,202,247,158,173,181,246,185,242,180,186,237,188,170,197,220,201,240,187,194,200])).
% 82.63/82.57 cnf(8598,plain,
% 82.63/82.57 (P4(a2,f21(a2,a2,a3,a3),a2,a2)),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8277,7850,8463,7965,8147,8326,8356,7374,8151,8233,8304,8322,8324,8340,8342,8384,8429,8453,8457,7378,6624,6639,8289,8404,6141,7443,7785,7549,8238,8393,7435,6795,7226,4880,7961,5076,4871,6658,7494,5975,5729,2521,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223,253,153,793,167,163,162,164,251,166,168,182,202,247,158,173,181,246,185,242,180,186,237,188,170,197,220,201,240,187,194,200,196,198,190,238,175,191,195,178,174,259,233])).
% 82.63/82.57 cnf(8603,plain,
% 82.63/82.57 (P3(a16,a2,a3)),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8277,7850,8463,7965,8147,8326,8356,7374,8151,8233,8304,8322,8324,8340,8342,8371,8384,8386,8429,8453,8457,7378,6624,6639,8289,8404,6141,7443,7785,7549,8238,8393,5308,7435,6795,7226,4880,7961,5076,4871,6658,7494,5975,5332,5729,2521,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223,253,153,793,167,163,162,164,251,166,168,182,202,247,158,173,181,246,185,242,180,186,237,188,170,197,220,201,240,187,194,200,196,198,190,238,175,191,195,178,174,259,233,224,159])).
% 82.63/82.57 cnf(8605,plain,
% 82.63/82.57 (P3(f7(a3,a17,a3),a3,a3)),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8277,7850,8463,7965,8147,8326,8356,7374,8151,8233,8304,8322,8324,8340,8342,8371,8384,8386,8417,8429,8453,8457,7378,6624,6639,8289,8404,6141,7443,7785,7549,8238,8393,5308,7435,6795,7226,4880,7961,5076,4871,6658,7494,5975,5860,5332,5729,2521,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223,253,153,793,167,163,162,164,251,166,168,182,202,247,158,173,181,246,185,242,180,186,237,188,170,197,220,201,240,187,194,200,196,198,190,238,175,191,195,178,174,259,233,224,159,183])).
% 82.63/82.57 cnf(8610,plain,
% 82.63/82.57 (P5(a16,a16,a2,a2)),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8277,7850,8463,7965,8147,8326,8356,7374,8151,8233,8304,8322,8324,8340,8342,8371,8384,8386,8417,8429,8453,8457,7378,6624,6639,8289,8404,6141,7443,7785,7549,8238,8393,7302,5308,7435,6795,7226,4880,7961,5617,5076,4871,8173,6658,6455,7494,5975,5860,5332,5729,2521,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223,253,153,793,167,163,162,164,251,166,168,182,202,247,158,173,181,246,185,242,180,186,237,188,170,197,220,201,240,187,194,200,196,198,190,238,175,191,195,178,174,259,233,224,159,183,189,248])).
% 82.63/82.57 cnf(8613,plain,
% 82.63/82.57 (P1(f27(a2,a17,a2,a3,a17,a3),a2,a3)),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8277,7850,8463,7965,8147,8326,8356,7374,8151,8233,8304,8322,8324,8340,8342,8371,8384,8386,8417,8429,8453,8457,7378,6624,6639,8289,8404,6141,7443,7785,7549,8238,8393,7302,5308,7435,6795,5422,7226,4880,7961,5617,5076,4871,8173,6658,6455,7494,5975,5860,5332,5729,2521,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223,253,153,793,167,163,162,164,251,166,168,182,202,247,158,173,181,246,185,242,180,186,237,188,170,197,220,201,240,187,194,200,196,198,190,238,175,191,195,178,174,259,233,224,159,183,189,248,206])).
% 82.63/82.57 cnf(8617,plain,
% 82.63/82.57 (P1(f27(a2,a17,a2,a3,a17,a3),a3,a17)),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8277,7850,8463,7965,8147,8326,8356,7374,8151,8233,8304,8322,8324,8340,8342,8371,8384,8386,8417,8429,8453,8457,7378,6624,6639,8289,8404,6141,7443,7785,7549,8238,8393,7302,5308,7435,6795,5422,7226,4880,7961,5617,5076,4871,8173,6658,4611,6455,7494,5975,4607,5860,5332,5729,2521,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223,253,153,793,167,163,162,164,251,166,168,182,202,247,158,173,181,246,185,242,180,186,237,188,170,197,220,201,240,187,194,200,196,198,190,238,175,191,195,178,174,259,233,224,159,183,189,248,206,203,205])).
% 82.63/82.57 cnf(8621,plain,
% 82.63/82.57 (P7(a2,a17,a17,a16,a2,a17,a17,a16)),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8277,7850,8463,7965,8147,8326,8356,7374,7918,8151,8233,8304,8322,8324,8340,8342,8371,8384,8386,8417,8429,8453,8457,7378,6624,6639,8289,8404,6141,7443,7785,7549,8238,8393,7302,5308,7435,6795,5422,7226,4880,7961,5617,5076,4871,8173,6658,4611,6455,7494,5975,4607,5860,5332,5729,2521,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223,253,153,793,167,163,162,164,251,166,168,182,202,247,158,173,181,246,185,242,180,186,237,188,170,197,220,201,240,187,194,200,196,198,190,238,175,191,195,178,174,259,233,224,159,183,189,248,206,203,205,204,1609])).
% 82.63/82.57 cnf(8629,plain,
% 82.63/82.57 (P7(a16,a2,a2,a3,a16,a2,a2,a3)),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8277,7850,8463,7965,8147,8326,8356,7374,7918,8151,8233,8304,8322,8324,8340,8342,8371,8384,8386,8417,8429,8453,8457,7378,6624,6639,8289,8404,6141,7443,7785,7549,8238,8393,7302,5308,7435,6795,5422,7226,4880,7961,5617,5076,4871,8173,6658,4611,6455,7494,5975,4607,5860,5332,5729,2521,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223,253,153,793,167,163,162,164,251,166,168,182,202,247,158,173,181,246,185,242,180,186,237,188,170,197,220,201,240,187,194,200,196,198,190,238,175,191,195,178,174,259,233,224,159,183,189,248,206,203,205,204,1609,4327,785,1606,1340])).
% 82.63/82.57 cnf(8633,plain,
% 82.63/82.57 (~P4(a19,a18,a17,x86331)+~E(x86331,a1)),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8277,7850,8463,7965,8147,8326,8356,7374,7918,8151,8233,8304,8322,8324,8340,8342,8371,8384,8386,8417,8429,8453,8457,7378,6624,6639,8289,8404,6141,7443,7785,7549,8238,8393,7302,5308,7435,6795,5422,7226,4880,7961,5617,5076,394,4871,8173,6658,4611,6455,7494,5975,4607,5860,5332,5729,2521,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223,253,153,793,167,163,162,164,251,166,168,182,202,247,158,173,181,246,185,242,180,186,237,188,170,197,220,201,240,187,194,200,196,198,190,238,175,191,195,178,174,259,233,224,159,183,189,248,206,203,205,204,1609,4327,785,1606,1340,184,113])).
% 82.63/82.57 cnf(8634,plain,
% 82.63/82.57 (P4(a3,a17,a17,a17)),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8277,7850,8463,7965,8147,8326,8356,7374,7918,8151,8233,8304,8322,8324,8340,8342,8371,8384,8386,8417,8429,8453,8457,7378,6624,6639,8289,8404,6141,7443,7785,7549,8238,8393,7302,5308,7435,6795,5422,7226,4880,7961,5617,5076,394,4871,8173,6658,4611,6455,7494,5975,4607,5860,5332,5729,2521,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223,253,153,793,167,163,162,164,251,166,168,182,202,247,158,173,181,246,185,242,180,186,237,188,170,197,220,201,240,187,194,200,196,198,190,238,175,191,195,178,174,259,233,224,159,183,189,248,206,203,205,204,1609,4327,785,1606,1340,184,113,193])).
% 82.63/82.57 cnf(8636,plain,
% 82.63/82.57 (P3(f20(a16,a16),a2,a2)),
% 82.63/82.57 inference(scs_inference,[],[8265,8279,7759,8275,8277,7850,8463,7965,8147,8326,8356,7374,7918,8151,8233,8304,8322,8324,8340,8342,8371,8384,8386,8417,8429,8453,8457,7378,6624,6639,8289,8404,6141,7443,7785,7549,8238,8393,7302,5308,7435,6795,5422,7226,4880,7961,5617,5076,394,4871,8173,6658,4611,6455,7102,7494,5975,4607,5860,5332,5729,2521,4251,150,165,157,149,160,255,254,256,151,1583,222,148,221,250,1601,442,161,249,252,223,253,153,793,167,163,162,164,251,166,168,182,202,247,158,173,181,246,185,242,180,186,237,188,170,197,220,201,240,187,194,200,196,198,190,238,175,191,195,178,174,259,233,224,159,183,189,248,206,203,205,204,1609,4327,785,1606,1340,184,113,193,172])).
% 82.63/82.57 cnf(8650,plain,
% 82.63/82.57 (P5(a16,a1,a1,a16)),
% 82.63/82.57 inference(scs_inference,[],[8402,8617,8613,4327,1340,165])).
% 82.63/82.57 cnf(8656,plain,
% 82.63/82.57 (P1(a2,a16,a17)),
% 82.63/82.57 inference(scs_inference,[],[8402,8475,8449,8573,8617,8613,4327,1340,165,157,150,149])).
% 82.63/82.57 cnf(8660,plain,
% 82.63/82.57 (P10(a16,a2,a1,a3)),
% 82.63/82.57 inference(scs_inference,[],[8113,8402,6759,8475,8449,8573,8617,8613,4327,1340,165,157,150,149,255,160])).
% 82.63/82.57 cnf(8668,plain,
% 82.63/82.57 (P8(a17,a17,x86681,x86682,a17,a2,x86681,x86682)),
% 82.63/82.57 inference(scs_inference,[],[8113,8451,8402,8634,6759,8475,8449,8573,8617,8613,4327,1340,165,157,150,149,255,160,1583,221,254,222])).
% 82.63/82.57 cnf(8672,plain,
% 82.63/82.57 (P3(a16,a3,a2)),
% 82.63/82.57 inference(scs_inference,[],[8113,8451,8402,8634,6759,8475,8603,8449,8573,8617,8613,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151])).
% 82.63/82.57 cnf(8676,plain,
% 82.63/82.57 (P10(a17,a17,a2,a17)),
% 82.63/82.57 inference(scs_inference,[],[8113,8451,8402,8634,6759,8475,8603,8449,8573,8617,8613,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151,1601,161])).
% 82.63/82.57 cnf(8678,plain,
% 82.63/82.57 (P1(a17,a2,a16)),
% 82.63/82.57 inference(scs_inference,[],[8113,8451,8402,8634,6759,8475,8603,8449,8573,8617,8613,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151,1601,161,148])).
% 82.63/82.57 cnf(8682,plain,
% 82.63/82.57 (P8(x86821,x86822,a17,a17,x86821,x86822,a2,a16)),
% 82.63/82.57 inference(scs_inference,[],[8113,8451,8402,8634,8491,6759,8475,8603,8449,8573,8617,8613,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151,1601,161,148,442,250])).
% 82.63/82.57 cnf(8684,plain,
% 82.63/82.57 (P8(a2,a16,x86841,x86842,a17,a17,x86841,x86842)),
% 82.63/82.57 inference(scs_inference,[],[8113,8451,8402,8634,8491,6759,8475,8603,8449,8573,8617,8613,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151,1601,161,148,442,250,249])).
% 82.63/82.57 cnf(8692,plain,
% 82.63/82.57 (P5(a2,a3,a2,a17)),
% 82.63/82.57 inference(scs_inference,[],[8113,8451,8402,8634,8487,8491,6759,7561,8475,8603,8449,8573,8617,8613,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151,1601,161,148,442,250,249,252,223,253,153])).
% 82.63/82.57 cnf(8694,plain,
% 82.63/82.57 (P4(a2,f20(a2,a2),a2,f20(a2,a2))),
% 82.63/82.57 inference(scs_inference,[],[8113,8451,8402,8634,8487,8491,6759,7561,8475,8603,8449,8531,8573,8617,8613,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151,1601,161,148,442,250,249,252,223,253,153,167])).
% 82.63/82.57 cnf(8696,plain,
% 82.63/82.57 (P9(a3,a2,a2,a16)),
% 82.63/82.57 inference(scs_inference,[],[8113,8451,8402,8634,8487,8491,6596,6759,7561,8475,8603,8449,8531,8573,8617,8613,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151,1601,161,148,442,250,249,252,223,253,153,167,162])).
% 82.63/82.57 cnf(8700,plain,
% 82.63/82.57 (P5(a17,a1,a1,a2)),
% 82.63/82.57 inference(scs_inference,[],[8113,8451,8402,8634,8487,8491,6596,6759,7561,8473,8475,8603,8449,8531,8573,8617,8433,8613,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151,1601,161,148,442,250,249,252,223,253,153,167,162,793,164])).
% 82.63/82.57 cnf(8702,plain,
% 82.63/82.57 (P9(a1,a1,a16,a2)),
% 82.63/82.57 inference(scs_inference,[],[8113,8451,8402,8634,8487,8491,6596,6759,7561,8473,8475,8521,8603,8449,8531,8573,8617,8433,8613,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151,1601,161,148,442,250,249,252,223,253,153,167,162,793,164,163])).
% 82.63/82.57 cnf(8704,plain,
% 82.63/82.57 (P8(x87041,x87042,a3,a3,x87042,x87041,a2,a16)),
% 82.63/82.57 inference(scs_inference,[],[8113,8451,8402,8634,8487,8491,8497,6596,6759,7561,8473,8475,8521,8603,8449,8531,8573,8617,8433,8613,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151,1601,161,148,442,250,249,252,223,253,153,167,162,793,164,163,251])).
% 82.63/82.57 cnf(8706,plain,
% 82.63/82.57 (P4(a17,a3,a17,a17)),
% 82.63/82.57 inference(scs_inference,[],[8113,8451,8402,8634,8487,8491,8497,6596,6759,7561,8473,8475,8521,8603,8449,8531,8573,8617,8433,8613,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151,1601,161,148,442,250,249,252,223,253,153,167,162,793,164,163,251,166])).
% 82.63/82.57 cnf(8711,plain,
% 82.63/82.57 (P9(x87111,x87112,x87111,x87112)),
% 82.63/82.57 inference(rename_variables,[],[5860])).
% 82.63/82.57 cnf(8718,plain,
% 82.63/82.57 (P1(a3,a3,a16)),
% 82.63/82.57 inference(scs_inference,[],[8113,8451,8402,8634,8487,8491,8497,6596,6759,7561,8473,8475,8493,8509,8521,8603,8449,8531,8573,8617,8517,8433,8613,5860,8711,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151,1601,161,148,442,250,249,252,223,253,153,167,162,793,164,163,251,166,168,243,202,247,152])).
% 82.63/82.57 cnf(8722,plain,
% 82.63/82.57 (P2(a16,a1,a1,a1)),
% 82.63/82.57 inference(scs_inference,[],[8113,8451,8402,8634,8487,8491,8497,6596,6759,7561,8473,8475,8493,8509,8521,8603,8449,8531,8573,8617,8517,8433,8613,8342,8034,5860,8711,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151,1601,161,148,442,250,249,252,223,253,153,167,162,793,164,163,251,166,168,243,202,247,152,173,181])).
% 82.63/82.57 cnf(8731,plain,
% 82.63/82.57 (P9(x87311,x87312,x87312,x87311)),
% 82.63/82.57 inference(rename_variables,[],[5729])).
% 82.63/82.57 cnf(8733,plain,
% 82.63/82.57 (P10(a2,a3,a3,a1)),
% 82.63/82.57 inference(scs_inference,[],[8113,8451,8402,8634,8487,8491,8497,8505,6596,6759,7561,7565,8473,8475,8493,8509,8521,8603,8449,8531,8573,8617,8517,8433,8613,8346,7064,8342,8161,8034,5860,8711,5729,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151,1601,161,148,442,250,249,252,223,253,153,167,162,793,164,163,251,166,168,243,202,247,152,173,181,246,242,185,186,237])).
% 82.63/82.57 cnf(8738,plain,
% 82.63/82.57 (P5(a16,a17,a16,a3)),
% 82.63/82.57 inference(scs_inference,[],[8113,8451,8402,8634,8487,8491,8497,8505,6596,6759,7561,7565,8163,8473,8475,8493,8509,8521,8603,8449,8531,8573,8617,8517,8433,8613,8346,7064,8342,8429,8161,8034,5860,8711,5729,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151,1601,161,148,442,250,249,252,223,253,153,167,162,793,164,163,251,166,168,243,202,247,152,173,181,246,242,185,186,237,188,170])).
% 82.63/82.57 cnf(8746,plain,
% 82.63/82.57 (P9(a1,f6(a16,a1,a16),a16,a16)),
% 82.63/82.57 inference(scs_inference,[],[8113,8451,8402,8634,8487,8491,8497,8505,6596,6759,7561,7565,8163,8473,8475,8493,8509,8513,8521,8603,8449,8531,8573,8617,8517,8433,8613,8346,7064,8342,8429,8161,7779,8034,5860,8711,5729,8731,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151,1601,161,148,442,250,249,252,223,253,153,167,162,793,164,163,251,166,168,243,202,247,152,173,181,246,242,185,186,237,188,170,197,201,200,187])).
% 82.63/82.57 cnf(8747,plain,
% 82.63/82.57 (P9(x87471,x87472,x87472,x87471)),
% 82.63/82.57 inference(rename_variables,[],[5729])).
% 82.63/82.57 cnf(8753,plain,
% 82.63/82.57 (P10(f26(a3,a17,a17,a3,a2),a17,a3,a17)),
% 82.63/82.57 inference(scs_inference,[],[8113,8451,8402,8634,8487,8491,8497,8505,6596,6759,7561,7565,8163,8473,8475,8493,8509,8513,8521,8603,8449,8531,8538,8573,8617,8517,8433,8613,8346,7064,8342,8429,8161,7779,8034,5860,8711,5729,8731,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151,1601,161,148,442,250,249,252,223,253,153,167,162,793,164,163,251,166,168,243,202,247,152,173,181,246,242,185,186,237,188,170,197,201,200,187,220,194,198])).
% 82.63/82.57 cnf(8756,plain,
% 82.63/82.57 (P9(x87561,x87562,x87562,x87561)),
% 82.63/82.57 inference(rename_variables,[],[5729])).
% 82.63/82.57 cnf(8766,plain,
% 82.63/82.57 (P9(a1,a1,a3,a3)),
% 82.63/82.57 inference(scs_inference,[],[8113,8451,8402,8634,8487,8491,8497,8505,6596,6759,7561,7565,8163,8473,8475,8493,8509,8513,8521,8603,8449,8531,8538,8573,8617,8517,8433,8613,8346,7064,8342,8429,6658,8161,7779,8034,5860,8711,5729,8731,8747,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151,1601,161,148,442,250,249,252,223,253,153,167,162,793,164,163,251,166,168,243,202,247,152,173,181,246,242,185,186,237,188,170,197,201,200,187,220,194,198,175,196,191,195,190,238])).
% 82.63/82.57 cnf(8767,plain,
% 82.63/82.57 (P8(x87671,x87672,a3,a3,x87671,x87672,a2,a16)),
% 82.63/82.57 inference(rename_variables,[],[8497])).
% 82.63/82.57 cnf(8776,plain,
% 82.63/82.57 (P4(a2,a2,f23(a2,a17,a2,a2),a2)),
% 82.63/82.57 inference(scs_inference,[],[8113,8451,8402,8634,8487,8491,8497,8505,6596,6759,7561,7565,8163,8473,8475,8493,8509,8513,8521,8523,8603,8449,8183,8531,8538,8573,8617,8517,8433,8613,8346,6398,5024,7064,8342,8429,6658,8161,7779,8034,5872,5860,8711,5729,8731,8747,8756,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151,1601,161,148,442,250,249,252,223,253,153,167,162,793,164,163,251,166,168,243,202,247,152,173,181,246,242,185,186,237,188,170,197,201,200,187,220,194,198,175,196,191,195,190,238,174,178,224,233])).
% 82.63/82.57 cnf(8779,plain,
% 82.63/82.57 (P3(a16,a2,a1)),
% 82.63/82.57 inference(scs_inference,[],[8113,8451,8402,8634,8487,8491,8497,8505,6596,6759,7561,7565,8163,8473,8475,8493,8509,8513,8521,8523,8603,8449,8183,8531,8538,8573,8617,8517,8433,8613,8346,6398,5024,7064,7739,5638,8342,8429,6658,8161,7779,8034,5872,5860,8711,5729,8731,8747,8756,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151,1601,161,148,442,250,249,252,223,253,153,167,162,793,164,163,251,166,168,243,202,247,152,173,181,246,242,185,186,237,188,170,197,201,200,187,220,194,198,175,196,191,195,190,238,174,178,224,233,159])).
% 82.63/82.57 cnf(8781,plain,
% 82.63/82.57 (P4(a1,a1,a1,a1)),
% 82.63/82.57 inference(scs_inference,[],[8113,8451,8402,8634,8487,8491,8497,8505,6596,6759,7561,7565,8163,8473,8475,8493,8509,8513,8521,8523,8603,8449,8183,8531,8538,8573,8617,8517,8433,8613,8346,6398,5024,7064,7739,5638,8342,8429,6658,8161,7779,8034,5872,5860,8711,5729,8731,8747,8756,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151,1601,161,148,442,250,249,252,223,253,153,167,162,793,164,163,251,166,168,243,202,247,152,173,181,246,242,185,186,237,188,170,197,201,200,187,220,194,198,175,196,191,195,190,238,174,178,224,233,159,193])).
% 82.63/82.57 cnf(8791,plain,
% 82.63/82.57 (P10(x87911,x87911,a16,a16)),
% 82.63/82.57 inference(rename_variables,[],[5652])).
% 82.63/82.57 cnf(8800,plain,
% 82.63/82.57 (P5(a3,a19,a2,a19)),
% 82.63/82.57 inference(scs_inference,[],[142,8113,8451,8402,8634,8487,8491,8497,8505,6596,6759,7561,7565,8163,8473,8475,8493,8509,8513,8519,8521,8523,8603,8449,8183,8531,8538,8573,8617,8517,8433,8613,8346,6398,5024,7064,6308,7739,6353,8457,8417,4825,6697,5638,8342,8429,6658,6029,5652,8791,8161,7779,8034,5872,5860,8711,5729,8731,8747,8756,2521,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151,1601,161,148,442,250,249,252,223,253,153,167,162,793,164,163,251,166,168,243,202,247,152,173,181,246,242,185,186,237,188,170,197,201,200,187,220,194,198,175,196,191,195,190,238,174,178,224,233,159,193,183,189,248,206,203,205,204,381])).
% 82.63/82.57 cnf(8803,plain,
% 82.63/82.57 (P10(a2,a2,a2,a16)),
% 82.63/82.57 inference(scs_inference,[],[142,8113,8451,8402,8634,8487,8491,8497,8505,6596,6759,7561,7565,8163,8473,8475,8493,8509,8513,8519,8521,8523,8603,8449,8183,8531,8538,8573,8617,8517,8433,8613,8346,6398,5024,7064,6308,7739,6353,8457,8417,4825,6697,5638,8342,8429,6658,6029,5652,8791,8161,7779,8034,5872,5860,8711,5729,8731,8747,8756,2521,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151,1601,161,148,442,250,249,252,223,253,153,167,162,793,164,163,251,166,168,243,202,247,152,173,181,246,242,185,186,237,188,170,197,201,200,187,220,194,198,175,196,191,195,190,238,174,178,224,233,159,193,183,189,248,206,203,205,204,381,6002,3209])).
% 82.63/82.57 cnf(8807,plain,
% 82.63/82.57 (P7(a3,a3,a3,a16,a3,a3,a3,a16)),
% 82.63/82.57 inference(scs_inference,[],[142,8113,8451,8402,8634,8487,8491,8497,8505,6596,6759,7561,7565,8163,8473,8475,8493,8509,8513,8519,8521,8523,8603,8449,8183,8531,8538,8573,8617,8517,8433,8613,8346,6398,5024,7064,6308,7739,6353,8457,8417,4825,6697,5638,8342,8429,6658,6029,5652,8791,8161,7779,8034,5872,5860,8711,5729,8731,8747,8756,2521,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151,1601,161,148,442,250,249,252,223,253,153,167,162,793,164,163,251,166,168,243,202,247,152,173,181,246,242,185,186,237,188,170,197,201,200,187,220,194,198,175,196,191,195,190,238,174,178,224,233,159,193,183,189,248,206,203,205,204,381,6002,3209,1609,797])).
% 82.63/82.57 cnf(8809,plain,
% 82.63/82.57 (P10(a17,a2,a18,a18)),
% 82.63/82.57 inference(scs_inference,[],[142,8113,8451,8402,8634,8487,8491,8497,8505,6596,6759,7561,7565,8163,8473,8475,8493,8509,8513,8519,8521,8523,8603,8449,8183,8531,8538,8573,8617,8517,8433,8613,8346,6398,5024,7064,6308,7739,6353,8457,8417,7977,4825,6697,5638,8342,8429,6658,6029,5652,8791,8161,7779,8034,5872,5860,8711,5729,8731,8747,8756,2521,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151,1601,161,148,442,250,249,252,223,253,153,167,162,793,164,163,251,166,168,243,202,247,152,173,181,246,242,185,186,237,188,170,197,201,200,187,220,194,198,175,196,191,195,190,238,174,178,224,233,159,193,183,189,248,206,203,205,204,381,6002,3209,1609,797,4736])).
% 82.63/82.57 cnf(8824,plain,
% 82.63/82.57 (P10(a17,a3,a17,a3)),
% 82.63/82.57 inference(scs_inference,[],[142,8113,8451,8402,8634,8487,8491,8497,8767,8505,6596,6759,7561,7565,8163,8473,8475,8493,8509,8513,8519,8521,8523,8603,8449,8183,8531,8538,8573,8617,8517,8433,8613,8346,6398,5024,7064,6308,7739,6353,8457,8417,7977,4825,6697,5638,8342,8429,6658,6029,5652,8791,8161,7779,8034,5872,5860,8711,5729,8731,8747,8756,2521,4327,1340,165,157,150,149,255,160,1583,221,254,222,256,151,1601,161,148,442,250,249,252,223,253,153,167,162,793,164,163,251,166,168,243,202,247,152,173,181,246,242,185,186,237,188,170,197,201,200,187,220,194,198,175,196,191,195,190,238,174,178,224,233,159,193,183,189,248,206,203,205,204,381,6002,3209,1609,797,4736,586,1590,4331,544,602,4645,230])).
% 82.63/82.57 cnf(8867,plain,
% 82.63/82.57 (P5(a17,a17,a3,a2)),
% 82.63/82.57 inference(scs_inference,[],[8550,8746,586,1590,165])).
% 82.63/82.57 cnf(8869,plain,
% 82.63/82.57 (P1(a16,a3,a2)),
% 82.63/82.57 inference(scs_inference,[],[8550,8672,8746,586,1590,165,150])).
% 82.63/82.57 cnf(8871,plain,
% 82.63/82.57 (P1(a3,a16,a3)),
% 82.63/82.57 inference(scs_inference,[],[8718,8550,8672,8746,586,1590,165,150,149])).
% 82.63/82.57 cnf(8879,plain,
% 82.63/82.57 (P10(a3,a17,a3,a2)),
% 82.63/82.57 inference(scs_inference,[],[8465,8718,7959,8550,8672,8706,8469,8746,586,1590,165,150,149,157,255,221,160])).
% 82.63/82.57 cnf(8883,plain,
% 82.63/82.57 (P8(a2,a2,x88831,x88832,a2,a16,x88831,x88832)),
% 82.63/82.57 inference(scs_inference,[],[8465,8803,8718,7959,8550,8672,8706,8469,8746,586,1590,165,150,149,157,255,221,160,254,222])).
% 82.63/82.57 cnf(8891,plain,
% 82.63/82.57 (P10(a18,a18,a2,a17)),
% 82.63/82.57 inference(scs_inference,[],[8465,8803,8718,7920,7959,8550,8672,8706,8469,8746,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161])).
% 82.63/82.57 cnf(8893,plain,
% 82.63/82.57 (P8(a2,a16,a3,a3,x88931,x88932,x88931,x88932)),
% 82.63/82.57 inference(scs_inference,[],[8465,8803,8718,8507,7920,7959,8550,8672,8706,8469,8746,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161,250])).
% 82.63/82.57 cnf(8895,plain,
% 82.63/82.57 (P3(a16,a1,a2)),
% 82.63/82.57 inference(scs_inference,[],[8465,8803,8718,8507,7920,7959,8550,8672,8706,8779,8469,8746,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161,250,151])).
% 82.63/82.57 cnf(8899,plain,
% 82.63/82.57 (P1(a16,a2,a17)),
% 82.63/82.57 inference(scs_inference,[],[8465,8803,8718,8507,7920,7959,8550,8656,8672,8706,8779,8469,8746,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161,250,151,442,148])).
% 82.63/82.57 cnf(8901,plain,
% 82.63/82.57 (P8(x89011,x89012,x89011,x89012,a3,a3,a2,a16)),
% 82.63/82.57 inference(scs_inference,[],[8465,8803,8718,8507,7920,7959,8550,8656,8672,8706,8779,8469,8746,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161,250,151,442,148,249])).
% 82.63/82.57 cnf(8903,plain,
% 82.63/82.57 (P8(a2,a17,a16,a16,x89031,x89032,x89031,x89032)),
% 82.63/82.57 inference(scs_inference,[],[8465,8803,8718,8507,8525,7920,7959,8550,8656,8672,8706,8779,8469,8746,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161,250,151,442,148,249,252])).
% 82.63/82.57 cnf(8907,plain,
% 82.63/82.57 (P4(a17,a17,a3,a17)),
% 82.63/82.57 inference(scs_inference,[],[8465,8803,8718,8507,8525,7920,7959,8550,8656,8672,8692,8706,8779,8469,8746,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161,250,151,442,148,249,252,223,167])).
% 82.63/82.57 cnf(8911,plain,
% 82.63/82.57 (P5(a16,a3,a16,a2)),
% 82.63/82.57 inference(scs_inference,[],[8465,8610,8803,8718,8507,8525,7920,7959,8550,8656,8672,8692,8706,8779,8469,8746,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161,250,151,442,148,249,252,223,167,164,153])).
% 82.63/82.57 cnf(8915,plain,
% 82.63/82.57 (P7(a16,a3,a3,a2,a16,a3,a3,a2)),
% 82.63/82.57 inference(scs_inference,[],[8465,8610,8803,8718,8507,8525,7581,7920,7959,8550,8656,8672,8692,8706,8779,8469,8746,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161,250,151,442,148,249,252,223,167,164,153,253,793])).
% 82.63/82.57 cnf(8917,plain,
% 82.63/82.57 (P9(a17,a3,a2,a3)),
% 82.63/82.57 inference(scs_inference,[],[8465,8610,8803,8718,8507,8525,7581,7611,7920,7959,8550,8656,8672,8692,8706,8779,8469,8746,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161,250,151,442,148,249,252,223,167,164,153,253,793,162])).
% 82.63/82.57 cnf(8919,plain,
% 82.63/82.57 (P9(a3,a2,a16,a2)),
% 82.63/82.57 inference(scs_inference,[],[8465,8610,8803,8718,8507,8525,7581,7611,7920,7959,8550,8656,8672,8692,8696,8706,8779,8469,8746,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161,250,151,442,148,249,252,223,167,164,153,253,793,162,163])).
% 82.63/82.57 cnf(8921,plain,
% 82.63/82.57 (P4(f20(a2,a2),a2,a2,f20(a2,a2))),
% 82.63/82.57 inference(scs_inference,[],[8465,8610,8803,8718,8507,8525,7581,7611,7920,7959,8550,8656,8672,8692,8696,8706,8779,8469,8694,8746,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161,250,151,442,148,249,252,223,167,164,153,253,793,162,163,166])).
% 82.63/82.57 cnf(8923,plain,
% 82.63/82.57 (P8(x89231,x89232,a17,a17,x89232,x89231,a2,a16)),
% 82.63/82.57 inference(scs_inference,[],[8465,8610,8803,8718,8507,8525,8682,7581,7611,7920,7959,8550,8656,8672,8692,8696,8706,8779,8469,8694,8746,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161,250,151,442,148,249,252,223,167,164,153,253,793,162,163,166,251])).
% 82.63/82.57 cnf(8925,plain,
% 82.63/82.57 (P4(a2,f20(a2,a2),f20(a2,a2),a2)),
% 82.63/82.57 inference(scs_inference,[],[8465,8610,8803,8718,8507,8525,8682,7581,7611,7920,7959,8550,8656,8672,8692,8696,8706,8779,8469,8694,8746,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161,250,151,442,148,249,252,223,167,164,153,253,793,162,163,166,251,168])).
% 82.63/82.57 cnf(8929,plain,
% 82.63/82.57 (P9(a17,a2,a17,a17)),
% 82.63/82.57 inference(scs_inference,[],[8465,6550,8610,8803,8718,8507,8525,8682,7220,7581,7611,7920,7959,8485,8503,8550,8656,8672,8692,8696,8706,8779,8469,8694,8746,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161,250,151,442,148,249,252,223,167,164,153,253,793,162,163,166,251,168,260,179])).
% 82.63/82.57 cnf(8931,plain,
% 82.63/82.57 (P5(a3,f24(a3,a16,a3,a16,a19,a19),a2,f24(a3,a16,a3,a16,a19,a19))),
% 82.63/82.57 inference(scs_inference,[],[8465,6550,8610,8803,8718,8507,8525,8682,7220,7581,7611,7920,7959,8485,8503,8550,8656,8672,8692,8696,8706,8779,8469,8694,8746,7500,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161,250,151,442,148,249,252,223,167,164,153,253,793,162,163,166,251,168,260,179,171])).
% 82.63/82.57 cnf(8936,plain,
% 82.63/82.57 (P8(a17,a17,x89361,x89362,a17,a2,x89361,x89362)),
% 82.63/82.57 inference(rename_variables,[],[8668])).
% 82.63/82.57 cnf(8937,plain,
% 82.63/82.57 (P9(x89371,x89372,x89371,x89372)),
% 82.63/82.57 inference(rename_variables,[],[5860])).
% 82.63/82.57 cnf(8941,plain,
% 82.63/82.57 (P8(a17,a17,x89411,x89412,a17,a2,x89411,x89412)),
% 82.63/82.57 inference(rename_variables,[],[8668])).
% 82.63/82.57 cnf(8946,plain,
% 82.63/82.57 (P9(x89461,x89462,x89462,x89461)),
% 82.63/82.57 inference(rename_variables,[],[5729])).
% 82.63/82.57 cnf(8949,plain,
% 82.63/82.57 (P9(x89491,x89492,x89492,x89491)),
% 82.63/82.57 inference(rename_variables,[],[5729])).
% 82.63/82.57 cnf(8953,plain,
% 82.63/82.57 (P10(a17,a2,a2,a3)),
% 82.63/82.57 inference(scs_inference,[],[8465,6550,8610,8803,8809,8718,8507,8525,8668,8936,8682,6582,7220,7581,7611,7920,7959,8485,8503,8550,8656,8672,8692,8696,8706,8779,8469,8694,8746,8567,7500,5860,8937,5729,8946,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161,250,151,442,148,249,252,223,167,164,153,253,793,162,163,166,251,168,260,179,171,202,243,247,181,173,185,186,176])).
% 82.63/82.57 cnf(8960,plain,
% 82.63/82.57 (P3(f24(a3,a2,a3,a2,a16,a16),a3,a2)),
% 82.63/82.57 inference(scs_inference,[],[8465,6550,8610,8803,8809,8718,8507,8525,8668,8936,8682,6582,7220,7581,7611,7920,7959,8485,8503,8550,8656,8672,8692,8696,8706,8779,8469,8694,8746,8567,8538,7500,5975,5860,8937,5729,8946,8949,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161,250,151,442,148,249,252,223,167,164,153,253,793,162,163,166,251,168,260,179,171,202,243,247,181,173,185,186,176,170,188,200])).
% 82.63/82.57 cnf(8985,plain,
% 82.63/82.57 (P1(f21(a3,a17,a2,a2),a2,a2)),
% 82.63/82.57 inference(scs_inference,[],[8465,6550,8610,8803,8809,8718,8507,8525,8668,8936,8682,6582,7220,7581,7611,7920,7959,8312,8485,8503,8550,8656,8672,8692,8696,8706,8738,8779,8469,8694,8746,8567,8493,8538,7500,6132,5975,5860,8937,5729,8946,8949,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161,250,151,442,148,249,252,223,167,164,153,253,793,162,163,166,251,168,260,179,171,202,243,247,181,173,185,186,176,170,188,200,237,197,187,201,198,194,220,196,195,175,190,191])).
% 82.63/82.57 cnf(8987,plain,
% 82.63/82.57 (P9(a17,a17,a3,a1)),
% 82.63/82.57 inference(scs_inference,[],[8465,6550,8610,8803,8809,8718,8507,8525,8668,8936,8941,8682,6582,7220,7581,7611,7920,7959,8312,8348,8485,8503,8550,8656,8672,8692,8696,8706,8738,8779,8469,8694,8746,8567,8493,8538,7500,6132,5975,5860,8937,5729,8946,8949,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161,250,151,442,148,249,252,223,167,164,153,253,793,162,163,166,251,168,260,179,171,202,243,247,181,173,185,186,176,170,188,200,237,197,187,201,198,194,220,196,195,175,190,191,238])).
% 82.63/82.57 cnf(8993,plain,
% 82.63/82.57 (P1(f5(a2,a17,a3),a3,a17)),
% 82.63/82.57 inference(scs_inference,[],[8465,6550,8610,8803,8809,8718,8507,8525,8668,8936,8941,8682,6582,7220,7581,7611,7920,7959,8312,8348,8485,8503,8550,8656,8672,8692,8696,8706,8738,8779,8469,8216,8694,8746,8567,8493,8538,7500,6132,5975,5860,8937,5729,8946,8949,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161,250,151,442,148,249,252,223,167,164,153,253,793,162,163,166,251,168,260,179,171,202,243,247,181,173,185,186,176,170,188,200,237,197,187,201,198,194,220,196,195,175,190,191,238,178,174])).
% 82.63/82.57 cnf(8995,plain,
% 82.63/82.57 (P10(a16,a2,a16,f6(a16,a16,a16))),
% 82.63/82.57 inference(scs_inference,[],[8465,6550,8610,8803,8809,8718,8507,8525,8668,8936,8941,8682,6582,7220,7581,7611,7920,7959,8312,8348,8485,8503,8550,8656,8672,8692,8696,8706,8738,8779,6531,8469,8216,8694,8746,8567,8493,8538,7500,6132,5975,5860,8937,5729,8946,8949,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161,250,151,442,148,249,252,223,167,164,153,253,793,162,163,166,251,168,260,179,171,202,243,247,181,173,185,186,176,170,188,200,237,197,187,201,198,194,220,196,195,175,190,191,238,178,174,177])).
% 82.63/82.57 cnf(8997,plain,
% 82.63/82.57 (P4(a2,f23(a2,a2,a3,a3),a2,a2)),
% 82.63/82.57 inference(scs_inference,[],[8465,6550,8610,8803,8809,8718,8507,8525,8668,8936,8941,8682,6582,7220,7581,7611,7920,7959,8312,8348,8485,8503,8550,8656,8672,8692,8696,8706,8738,8779,6531,8469,8367,8216,8694,8746,8567,8493,8538,7500,6132,5975,5860,8937,5729,8946,8949,2521,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161,250,151,442,148,249,252,223,167,164,153,253,793,162,163,166,251,168,260,179,171,202,243,247,181,173,185,186,176,170,188,200,237,197,187,201,198,194,220,196,195,175,190,191,238,178,174,177,233])).
% 82.63/82.57 cnf(9002,plain,
% 82.63/82.57 (P3(a2,a2,a3)),
% 82.63/82.57 inference(scs_inference,[],[8465,6550,8610,8803,8809,8718,8507,8525,8668,8936,8941,8682,6582,7220,7581,7611,7920,7959,8312,8348,8485,8503,8542,8550,8656,8660,8672,8692,8696,8706,8738,8779,6531,8469,8367,8216,8694,8746,8567,8605,8493,8538,7500,6132,6029,5975,5860,8937,5729,8946,8949,2521,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161,250,151,442,148,249,252,223,167,164,153,253,793,162,163,166,251,168,260,179,171,202,243,247,181,173,185,186,176,170,188,200,237,197,187,201,198,194,220,196,195,175,190,191,238,178,174,177,233,224,159])).
% 82.63/82.57 cnf(9009,plain,
% 82.63/82.57 (P5(a2,a2,a2,a17)),
% 82.63/82.57 inference(scs_inference,[],[8465,6550,8610,8803,8809,8718,8507,8525,8668,8936,8941,8682,6582,7220,7581,7611,7920,7959,8312,8348,8485,8503,8542,8550,8656,8660,8672,8692,8696,8706,8738,8779,6531,8469,8367,8216,8694,8746,8567,8605,8412,6146,8013,8493,8538,7500,6132,6614,8097,7873,7516,4943,6029,5975,7119,5860,8937,5729,8946,8949,2521,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161,250,151,442,148,249,252,223,167,164,153,253,793,162,163,166,251,168,260,179,171,202,243,247,181,173,185,186,176,170,188,200,237,197,187,201,198,194,220,196,195,175,190,191,238,178,174,177,233,224,159,189,183,248])).
% 82.63/82.57 cnf(9019,plain,
% 82.63/82.57 (P7(a3,a16,a16,a3,a3,a16,a16,a3)),
% 82.63/82.57 inference(scs_inference,[],[142,8465,6550,8610,8803,8809,8718,8507,8525,8668,8936,8941,8682,6582,7220,7581,7611,7920,7959,8157,8312,8348,8485,8503,8542,8550,8656,8660,8672,8692,8696,8706,8738,8779,6531,8469,8367,8216,8694,8746,8567,8605,8412,6146,8013,8493,8538,7500,6132,6935,6614,8097,7873,4997,7693,7516,4827,4943,6029,6979,5975,7119,5860,8937,5729,8946,8949,2521,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161,250,151,442,148,249,252,223,167,164,153,253,793,162,163,166,251,168,260,179,171,202,243,247,181,173,185,186,176,170,188,200,237,197,187,201,198,194,220,196,195,175,190,191,238,178,174,177,233,224,159,189,183,248,206,205,204,5796,1343])).
% 82.63/82.57 cnf(9021,plain,
% 82.63/82.57 (P7(a16,a2,a2,a17,a16,a2,a2,a17)),
% 82.63/82.57 inference(scs_inference,[],[142,8465,6550,8610,8803,8809,8718,8507,8525,8668,8936,8941,8682,6582,7220,7581,7611,7920,7959,8157,8312,8348,8485,8503,8542,8550,8656,8660,8672,8692,8696,8706,8738,8779,6531,8469,8367,8216,8694,8746,8567,8605,8412,6146,8013,8493,8538,7500,6132,6935,6614,8097,7873,4997,7693,7516,4827,4943,6029,6979,5975,7119,5860,8937,5729,8946,8949,2521,586,1590,165,150,149,157,255,221,160,254,222,1583,1601,256,161,250,151,442,148,249,252,223,167,164,153,253,793,162,163,166,251,168,260,179,171,202,243,247,181,173,185,186,176,170,188,200,237,197,187,201,198,194,220,196,195,175,190,191,238,178,174,177,233,224,159,189,183,248,206,205,204,5796,1343,4331])).
% 82.63/82.57 cnf(9052,plain,
% 82.63/82.57 (P1(a17,a16,a2)),
% 82.63/82.57 inference(scs_inference,[],[8678,8960,8993,4327,150,149])).
% 82.63/82.57 cnf(9054,plain,
% 82.63/82.57 (P5(a3,a19,a19,a2)),
% 82.63/82.57 inference(scs_inference,[],[8800,8678,8960,8993,4327,150,149,165])).
% 82.63/82.57 cnf(9068,plain,
% 82.63/82.57 (P10(a3,a2,a1,a3)),
% 82.63/82.57 inference(scs_inference,[],[8621,8800,8824,8153,8678,8960,8995,8212,8993,4327,150,149,165,157,255,1583,254,256,161,160])).
% 82.63/82.57 cnf(9070,plain,
% 82.63/82.57 (P8(a17,a3,x90701,x90702,a17,a3,x90701,x90702)),
% 82.63/82.57 inference(scs_inference,[],[8621,8800,8824,8153,8678,8960,8995,8212,8993,4327,150,149,165,157,255,1583,254,256,161,160,222])).
% 82.63/82.57 cnf(9072,plain,
% 82.63/82.57 (P8(a1,a1,a1,a1,a1,a1,a1,a1)),
% 82.63/82.57 inference(scs_inference,[],[8621,8800,8824,8153,8678,8781,8960,8995,8212,8993,4327,150,149,165,157,255,1583,254,256,161,160,222,221])).
% 82.63/82.57 cnf(9076,plain,
% 82.63/82.57 (P3(a2,a3,a2)),
% 82.63/82.57 inference(scs_inference,[],[8621,8800,8824,8153,8678,8781,9002,8960,8995,8212,8993,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151])).
% 82.63/82.57 cnf(9078,plain,
% 82.63/82.57 (P1(a3,a16,a2)),
% 82.63/82.57 inference(scs_inference,[],[8621,8800,8824,8153,8678,8781,8869,9002,8960,8995,8212,8993,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148])).
% 82.63/82.57 cnf(9080,plain,
% 82.63/82.57 (P8(a3,a3,x90801,x90802,a2,a16,x90802,x90801)),
% 82.63/82.57 inference(scs_inference,[],[8621,8800,8824,8704,8153,8678,8781,8869,9002,8960,8995,8212,8993,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148,250])).
% 82.63/82.57 cnf(9084,plain,
% 82.63/82.57 (P8(x90841,x90842,a2,a16,x90842,x90841,a3,a3)),
% 82.63/82.57 inference(scs_inference,[],[8621,8800,8824,8704,8153,8678,8781,8869,9002,8960,8995,8212,7496,8993,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148,250,442,249])).
% 82.63/82.57 cnf(9086,plain,
% 82.63/82.57 (P8(x90861,x90862,x90862,x90861,a3,a3,a2,a16)),
% 82.63/82.57 inference(scs_inference,[],[8621,8800,8824,8704,8153,8678,8781,8869,9002,8960,8995,8212,7496,8993,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148,250,442,249,252])).
% 82.63/82.57 cnf(9094,plain,
% 82.63/82.57 (P5(a2,a19,a3,a19)),
% 82.63/82.57 inference(scs_inference,[],[8621,8800,8824,8911,8704,7737,8153,8678,8781,8869,9002,8960,8995,8212,7496,8993,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148,250,442,249,252,223,253,793,164])).
% 82.63/82.57 cnf(9096,plain,
% 82.63/82.57 (P4(a2,a2,f23(a2,a2,a3,a3),a2)),
% 82.63/82.57 inference(scs_inference,[],[8621,8800,8824,8911,8704,7737,8153,8678,8781,8869,9002,8960,8995,8997,8212,7496,8993,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148,250,442,249,252,223,253,793,164,167])).
% 82.63/82.57 cnf(9100,plain,
% 82.63/82.57 (P9(a17,a3,a3,a2)),
% 82.63/82.57 inference(scs_inference,[],[8621,8800,8824,8911,8704,7737,8153,8678,8781,8869,8895,8917,9002,8960,8995,8997,8212,7496,8993,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148,250,442,249,252,223,253,793,164,167,153,163])).
% 82.63/82.57 cnf(9102,plain,
% 82.63/82.57 (P9(a16,a2,a3,a2)),
% 82.63/82.57 inference(scs_inference,[],[8621,8800,8824,8911,8919,8704,7737,8153,8678,8781,8869,8895,8917,9002,8960,8995,8997,8212,7496,8993,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148,250,442,249,252,223,253,793,164,167,153,163,162])).
% 82.63/82.57 cnf(9104,plain,
% 82.63/82.57 (P4(f20(a2,a2),a2,f20(a2,a2),a2)),
% 82.63/82.57 inference(scs_inference,[],[8621,8800,8824,8911,8919,8704,7737,8153,8678,8781,8869,8895,8917,9002,8925,8960,8995,8997,8212,7496,8993,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148,250,442,249,252,223,253,793,164,167,153,163,162,166])).
% 82.63/82.57 cnf(9108,plain,
% 82.63/82.57 (P4(a17,a17,a17,a3)),
% 82.63/82.57 inference(scs_inference,[],[8621,8800,8824,8911,8919,8704,8893,7737,8153,8678,8781,8869,8895,8907,8917,9002,8925,8960,8995,8997,8212,7496,8993,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148,250,442,249,252,223,253,793,164,167,153,163,162,166,251,168])).
% 82.63/82.57 cnf(9112,plain,
% 82.63/82.57 (P1(f15(a17,a17,a3,a17),a3,a17)),
% 82.63/82.57 inference(scs_inference,[],[8621,8800,8824,8911,8919,8704,8893,7737,8153,8678,8781,8869,8895,8907,8917,9002,8925,8960,8995,8997,8212,7496,8993,8034,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148,250,442,249,252,223,253,793,164,167,153,163,162,166,251,168,245,244])).
% 82.63/82.57 cnf(9118,plain,
% 82.63/82.57 (P8(a17,a2,a2,a2,a2,a2,a2,a2)),
% 82.63/82.57 inference(scs_inference,[],[8621,8800,8824,8911,8919,8704,8893,7737,8153,8678,8781,8869,8895,8907,8917,9002,8925,8960,8995,8997,8212,7496,8993,8078,6795,8779,8034,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148,250,442,249,252,223,253,793,164,167,153,163,162,166,251,168,245,244,154,202,227])).
% 82.63/82.57 cnf(9123,plain,
% 82.63/82.57 (P8(a2,a2,x91231,x91232,a2,a16,x91231,x91232)),
% 82.63/82.57 inference(rename_variables,[],[8883])).
% 82.63/82.57 cnf(9124,plain,
% 82.63/82.57 (P9(x91241,x91242,x91241,x91242)),
% 82.63/82.57 inference(rename_variables,[],[5860])).
% 82.63/82.57 cnf(9126,plain,
% 82.63/82.57 (P2(a16,a3,a2,a2)),
% 82.63/82.57 inference(scs_inference,[],[8621,8800,8824,8911,8919,8704,8883,8893,7737,8153,8678,8781,8869,8895,8907,8917,9002,8925,8960,8995,8997,8212,7496,8993,8078,6795,8779,7435,8034,5860,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148,250,442,249,252,223,253,793,164,167,153,163,162,166,251,168,245,244,154,202,227,243,247,181])).
% 82.63/82.57 cnf(9131,plain,
% 82.63/82.57 (P8(a2,a2,x91311,x91312,a2,a16,x91311,x91312)),
% 82.63/82.57 inference(rename_variables,[],[8883])).
% 82.63/82.57 cnf(9140,plain,
% 82.63/82.57 (P3(f24(a1,a2,a1,a2,a16,a16),a1,a2)),
% 82.63/82.57 inference(scs_inference,[],[8621,8800,8824,8911,8919,8704,8883,9123,8893,7737,8153,8678,8722,8781,8869,8895,8907,8917,9002,8925,8960,8995,8997,8212,7496,8993,5251,8078,6795,8779,7435,8161,7361,8034,7147,5860,5729,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148,250,442,249,252,223,253,793,164,167,153,163,162,166,251,168,245,244,154,202,227,243,247,181,185,246,226,173,240,200])).
% 82.63/82.57 cnf(9147,plain,
% 82.63/82.57 (P5(a3,a16,a3,a2)),
% 82.63/82.57 inference(scs_inference,[],[8621,8800,8824,8911,8919,8704,8883,9123,9131,8893,7737,8153,8678,8722,8781,8869,8895,8907,8917,9002,8925,8960,8995,8997,8212,7496,8993,5251,8078,6795,8779,7571,7435,8161,7361,8034,7147,5860,5729,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148,250,442,249,252,223,253,793,164,167,153,163,162,166,251,168,245,244,154,202,227,243,247,181,185,246,226,173,240,200,242,186,170])).
% 82.63/82.57 cnf(9149,plain,
% 82.63/82.57 (P10(x91491,x91492,x91491,x91492)),
% 82.63/82.57 inference(scs_inference,[],[8621,8800,8824,8911,8919,8704,8883,9123,9131,8893,8901,7737,8153,8678,8722,8781,8869,8895,8907,8917,9002,8925,8960,8995,8997,8212,7496,8993,5251,8078,7579,6795,8779,7571,7435,8161,7361,8034,7147,5860,5729,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148,250,442,249,252,223,253,793,164,167,153,163,162,166,251,168,245,244,154,202,227,243,247,181,185,246,226,173,240,200,242,186,170,237])).
% 82.63/82.57 cnf(9174,plain,
% 82.63/82.57 (P1(f21(a16,a2,a3,a17),a3,a17)),
% 82.63/82.57 inference(scs_inference,[],[8621,7222,8800,8824,8911,8919,8704,8883,9123,9131,8893,8901,7737,8153,8678,8722,8781,8869,8895,8907,8917,9002,8925,8960,8995,8997,8212,7496,8993,5251,8078,7579,6795,7777,8779,7571,7435,8696,8161,7361,8034,7147,5860,9124,5729,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148,250,442,249,252,223,253,793,164,167,153,163,162,166,251,168,245,244,154,202,227,243,247,181,185,246,226,173,240,200,242,186,170,237,188,187,197,220,198,196,175,194,201,195,190,191])).
% 82.63/82.57 cnf(9179,plain,
% 82.63/82.57 (P1(f5(a16,a3,a2),a2,a3)),
% 82.63/82.57 inference(scs_inference,[],[8621,7222,8800,8824,8911,8919,8704,8883,9123,9131,8893,8901,7737,8153,8678,8722,8781,8869,8895,8907,8917,9002,7409,8925,8960,8995,8997,8212,7496,8993,5251,8078,7579,6795,7777,8779,7571,7435,8696,8161,7361,8034,7147,5860,9124,5729,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148,250,442,249,252,223,253,793,164,167,153,163,162,166,251,168,245,244,154,202,227,243,247,181,185,246,226,173,240,200,242,186,170,237,188,187,197,220,198,196,175,194,201,195,190,191,178,174])).
% 82.63/82.57 cnf(9189,plain,
% 82.63/82.57 (P3(a16,a2,a17)),
% 82.63/82.57 inference(scs_inference,[],[8621,7222,8800,8824,8911,8919,8704,8883,9123,9131,8893,8901,7737,7935,8153,8678,8722,8781,8869,8895,8899,8907,8917,9002,8090,7409,8925,8960,8985,8995,8997,8212,7496,8993,5251,5552,8078,7579,6795,7777,8779,7571,7693,7435,8696,8161,7361,8034,7147,5872,5860,9124,5729,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148,250,442,249,252,223,253,793,164,167,153,163,162,166,251,168,245,244,154,202,227,243,247,181,185,246,226,173,240,200,242,186,170,237,188,187,197,220,198,196,175,194,201,195,190,191,178,174,238,233,224,159])).
% 82.63/82.57 cnf(9193,plain,
% 82.63/82.57 (P3(f7(a17,a2,a17),a17,a17)),
% 82.63/82.57 inference(scs_inference,[],[8621,7222,8800,8824,8911,8919,8704,8883,9123,9131,8893,8901,7737,7935,8153,8678,8722,8781,8869,8895,8899,8907,8917,8929,9002,8090,7409,8925,8960,8985,8995,8997,8212,7496,8993,5251,5552,8078,7579,8250,6795,7777,8779,7571,7693,7435,8696,8161,7361,5975,8034,7147,5872,5860,9124,5729,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148,250,442,249,252,223,253,793,164,167,153,163,162,166,251,168,245,244,154,202,227,243,247,181,185,246,226,173,240,200,242,186,170,237,188,187,197,220,198,196,175,194,201,195,190,191,178,174,238,233,224,159,189,183])).
% 82.63/82.57 cnf(9195,plain,
% 82.63/82.57 (P5(a1,a1,a1,a1)),
% 82.63/82.57 inference(scs_inference,[],[8621,7222,8800,8824,8911,8919,8704,8883,9123,9131,8893,8901,7737,7935,8153,8678,8722,8781,8869,8895,8899,8907,8917,8929,9002,8090,7409,8925,8960,8985,8995,8997,8212,7496,8993,5251,5552,8078,7579,8250,6795,7777,8779,7571,7693,7435,8696,8161,7361,5975,8034,7147,5872,5860,9124,5729,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148,250,442,249,252,223,253,793,164,167,153,163,162,166,251,168,245,244,154,202,227,243,247,181,185,246,226,173,240,200,242,186,170,237,188,187,197,220,198,196,175,194,201,195,190,191,178,174,238,233,224,159,189,183,248])).
% 82.63/82.57 cnf(9198,plain,
% 82.63/82.57 (P10(a17,a17,x91981,x91981)),
% 82.63/82.57 inference(rename_variables,[],[8013])).
% 82.63/82.57 cnf(9208,plain,
% 82.63/82.57 (P10(a2,f8(a2,a16,a16,a16),a17,a17)),
% 82.63/82.57 inference(scs_inference,[],[142,8621,7222,8800,8824,8911,8919,8704,8883,9123,9131,8893,8901,7737,7935,8153,8479,8676,8678,8722,8781,8869,8895,8899,8907,8917,8929,9002,8090,7409,8925,8960,8985,8995,8997,8212,7496,8993,5251,5552,8078,7579,8250,8013,9198,6795,5211,8064,7777,7593,8779,4997,7571,7693,7435,5632,8696,8161,7361,5975,8034,7147,5872,5860,9124,5729,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148,250,442,249,252,223,253,793,164,167,153,163,162,166,251,168,245,244,154,202,227,243,247,181,185,246,226,173,240,200,242,186,170,237,188,187,197,220,198,196,175,194,201,195,190,191,178,174,238,233,224,159,189,183,248,206,203,205,204,4061])).
% 82.63/82.57 cnf(9210,plain,
% 82.63/82.57 (P10(a1,a16,a1,a1)),
% 82.63/82.57 inference(scs_inference,[],[142,8621,7222,8800,8824,8911,8919,8704,8883,9123,9131,8893,8901,7737,7935,8153,8479,8676,8678,8722,8781,8869,8895,8899,8907,8917,8929,9002,8090,7409,8925,8960,8985,8995,8997,8212,7496,8993,5251,5552,8078,7579,8250,8013,9198,6795,5211,8064,7777,7593,8779,4997,7571,7693,7435,5632,8696,8161,7361,5975,8034,7147,5872,5860,9124,5729,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148,250,442,249,252,223,253,793,164,167,153,163,162,166,251,168,245,244,154,202,227,243,247,181,185,246,226,173,240,200,242,186,170,237,188,187,197,220,198,196,175,194,201,195,190,191,178,174,238,233,224,159,189,183,248,206,203,205,204,4061,230])).
% 82.63/82.57 cnf(9222,plain,
% 82.63/82.57 (P9(f9(a2,a3,a3),a2,a2,a17)),
% 82.63/82.57 inference(scs_inference,[],[142,8621,7222,8800,8824,8911,8919,8704,8883,9123,9131,8893,8901,7737,7935,8052,8153,8479,8676,8678,8722,8781,8869,8895,8899,8907,8917,8929,9002,8090,7409,8925,8960,8985,8995,8997,8212,7496,8993,5251,6646,5552,8078,7579,8250,8013,9198,6795,5211,8064,7777,7593,8779,4997,7571,7693,7435,5632,8696,8161,7361,5975,8034,7147,5872,5860,9124,5729,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148,250,442,249,252,223,253,793,164,167,153,163,162,166,251,168,245,244,154,202,227,243,247,181,185,246,226,173,240,200,242,186,170,237,188,187,197,220,198,196,175,194,201,195,190,191,178,174,238,233,224,159,189,183,248,206,203,205,204,4061,230,1606,1340,785,781,184,239])).
% 82.63/82.57 cnf(9230,plain,
% 82.63/82.57 (P10(a17,a3,a3,a1)),
% 82.63/82.57 inference(scs_inference,[],[142,8621,7222,8800,8824,8911,8919,8704,8883,9123,9131,8893,8901,7737,7935,8052,8153,8203,8479,8676,8678,8722,8733,8781,8869,8895,8899,8907,8917,8929,9002,8090,7409,8925,8960,8985,8995,8997,8212,7496,8753,8993,5251,6646,5552,8078,7579,8250,8013,9198,377,6795,5211,8064,7777,7593,8779,4997,7571,7693,7435,5632,8696,8161,7361,5975,8034,7147,5872,5860,9124,5729,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148,250,442,249,252,223,253,793,164,167,153,163,162,166,251,168,245,244,154,202,227,243,247,181,185,246,226,173,240,200,242,186,170,237,188,187,197,220,198,196,175,194,201,195,190,191,178,174,238,233,224,159,189,183,248,206,203,205,204,4061,230,1606,1340,785,781,184,239,155,231,179,176])).
% 82.63/82.57 cnf(9232,plain,
% 82.63/82.57 (P10(a3,a17,a1,a1)),
% 82.63/82.57 inference(scs_inference,[],[142,8621,7222,8800,8824,8911,8919,8704,8883,9123,9131,8893,8901,7676,7737,7935,8052,8153,8203,8479,8676,8678,8722,8733,8781,8869,8895,8899,8907,8917,8929,9002,8090,7409,8925,8960,8985,8995,8997,8212,7496,8753,8993,5251,6646,5552,8078,7579,8250,8013,9198,377,6795,5211,8064,7777,7593,8779,4997,7571,7693,7435,5632,8696,8161,7361,5975,8034,7147,5872,5860,9124,5729,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148,250,442,249,252,223,253,793,164,167,153,163,162,166,251,168,245,244,154,202,227,243,247,181,185,246,226,173,240,200,242,186,170,237,188,187,197,220,198,196,175,194,201,195,190,191,178,174,238,233,224,159,189,183,248,206,203,205,204,4061,230,1606,1340,785,781,184,239,155,231,179,176,177])).
% 82.63/82.57 cnf(9234,plain,
% 82.63/82.57 (~P4(a1,a19,x92341,a17)+~E(x92341,a18)),
% 82.63/82.57 inference(scs_inference,[],[142,8621,7222,8800,8824,8911,8919,8704,8883,9123,9131,8893,8901,7676,7737,7935,8052,8153,8203,8479,8676,8678,8722,8733,8781,8869,8895,8899,8907,8917,8929,9002,8090,7409,8925,8960,8985,8995,8997,8212,7496,8753,8993,5251,6646,5552,8078,7579,8250,8013,9198,377,6795,5211,8064,7777,7593,8779,4997,7571,7693,7435,5632,8696,8161,7361,5975,8034,7147,5872,5860,9124,5729,4327,150,149,165,157,255,1583,254,256,161,160,222,221,1601,151,148,250,442,249,252,223,253,793,164,167,153,163,162,166,251,168,245,244,154,202,227,243,247,181,185,246,226,173,240,200,242,186,170,237,188,187,197,220,198,196,175,194,201,195,190,191,178,174,238,233,224,159,189,183,248,206,203,205,204,4061,230,1606,1340,785,781,184,239,155,231,179,176,177,112])).
% 82.63/82.57 cnf(9244,plain,
% 82.63/82.57 (P1(a3,a2,a16)),
% 82.63/82.57 inference(scs_inference,[],[9078,9140,9112,9179,4327,1340,150,781,149])).
% 82.63/82.57 cnf(9246,plain,
% 82.63/82.57 (P1(x92461,x92462,x92462)),
% 82.63/82.57 inference(scs_inference,[],[9149,9078,9140,9112,9179,4327,1340,150,781,149,157])).
% 82.63/82.57 cnf(9248,plain,
% 82.63/82.57 (P5(a17,a1,a2,a1)),
% 82.63/82.57 inference(scs_inference,[],[9149,8700,9078,9140,9112,9179,4327,1340,150,781,149,157,165])).
% 82.63/82.57 cnf(9250,plain,
% 82.63/82.57 (P10(a2,a17,a18,a18)),
% 82.63/82.57 inference(scs_inference,[],[9149,8700,8891,9078,9140,9112,9179,4327,1340,150,781,149,157,165,160])).
% 82.63/82.57 cnf(9252,plain,
% 82.63/82.57 (P10(a2,f8(a2,a16,a16,a16),a3,a3)),
% 82.63/82.57 inference(scs_inference,[],[9149,8700,8891,9078,9140,9112,9208,9179,4327,1340,150,781,149,157,165,160,1583])).
% 82.63/82.57 cnf(9258,plain,
% 82.63/82.57 (P8(x92581,x92582,x92583,x92584,x92581,x92582,x92583,x92584)),
% 82.63/82.57 inference(scs_inference,[],[9149,8629,8700,8891,9078,9140,9112,9208,9179,4327,1340,150,781,149,157,165,160,1583,256,255,222])).
% 82.63/82.57 cnf(9262,plain,
% 82.63/82.57 (P10(x92621,x92622,x92622,x92621)),
% 82.63/82.57 inference(scs_inference,[],[9149,8629,8700,8891,9078,9140,9112,9208,9179,4327,1340,150,781,149,157,165,160,1583,256,255,222,254,161])).
% 82.63/82.57 cnf(9268,plain,
% 82.63/82.57 (P1(a16,a17,a2)),
% 82.63/82.57 inference(scs_inference,[],[9149,8629,8700,8891,9052,9078,9108,9140,9112,9208,9179,4327,1340,150,781,149,157,165,160,1583,256,255,222,254,161,1601,221,148])).
% 82.63/82.57 cnf(9270,plain,
% 82.63/82.57 (P3(a16,a17,a2)),
% 82.63/82.57 inference(scs_inference,[],[9149,8629,8700,8891,9052,9078,9108,9189,9140,9112,9208,9179,4327,1340,150,781,149,157,165,160,1583,256,255,222,254,161,1601,221,148,151])).
% 82.63/82.57 cnf(9284,plain,
% 82.63/82.57 (P8(a2,a2,a2,a17,a2,a17,a2,a17)),
% 82.63/82.57 inference(scs_inference,[],[9149,8629,8903,8923,7757,8650,8700,8891,9009,9052,9078,9108,9189,9140,9112,9208,9179,4327,1340,150,781,149,157,165,160,1583,256,255,222,254,161,1601,221,148,151,252,250,442,249,253,164,223])).
% 82.63/82.57 cnf(9288,plain,
% 82.63/82.57 (P9(a17,a17,a1,a3)),
% 82.63/82.57 inference(scs_inference,[],[9149,8629,8903,8923,7757,8650,8700,8891,8987,9009,9052,9078,9108,9189,9104,9140,9112,9208,9179,4327,1340,150,781,149,157,165,160,1583,256,255,222,254,161,1601,221,148,151,252,250,442,249,253,164,223,167,163])).
% 82.63/82.57 cnf(9290,plain,
% 82.63/82.57 (P9(a3,a1,a17,a17)),
% 82.63/82.57 inference(scs_inference,[],[9149,8629,8903,8923,7757,8650,8700,8891,8987,9009,9052,9078,9108,9189,9104,9140,9112,9208,9179,4327,1340,150,781,149,157,165,160,1583,256,255,222,254,161,1601,221,148,151,252,250,442,249,253,164,223,167,163,162])).
% 82.63/82.57 cnf(9292,plain,
% 82.63/82.57 (P5(a16,a2,a16,a17)),
% 82.63/82.57 inference(scs_inference,[],[9149,8629,8903,8923,7757,8650,8700,8891,8987,9009,9052,9078,9108,9189,9104,9140,9112,9208,9179,4327,1340,150,781,149,157,165,160,1583,256,255,222,254,161,1601,221,148,151,252,250,442,249,253,164,223,167,163,162,153])).
% 82.63/82.57 cnf(9307,plain,
% 82.63/82.57 (P2(a2,a2,a17,a17)),
% 82.63/82.57 inference(scs_inference,[],[9149,8629,8903,8923,7757,8650,8700,8891,8987,9009,9052,9072,9076,9078,9108,9189,9104,9140,9112,9208,9096,8598,9179,7777,5860,4327,1340,150,781,149,157,165,160,1583,256,255,222,254,161,1601,221,148,151,252,250,442,249,253,164,223,167,163,162,153,251,166,168,244,202,243,181])).
% 82.63/82.57 cnf(9311,plain,
% 82.63/82.57 (P3(f24(a3,a2,a3,a2,a2,a2),a3,a2)),
% 82.63/82.57 inference(scs_inference,[],[9149,8629,8903,8923,7757,8650,8700,8891,8987,9009,9052,9072,9076,9078,9108,9189,9104,9140,9112,9208,9096,8598,9179,7777,7300,5860,4327,1340,150,781,149,157,165,160,1583,256,255,222,254,161,1601,221,148,151,252,250,442,249,253,164,223,167,163,162,153,251,166,168,244,202,243,181,185,200])).
% 82.63/82.57 cnf(9321,plain,
% 82.63/82.57 (P10(a19,a19,a2,a3)),
% 82.63/82.57 inference(scs_inference,[],[9149,8629,8903,8923,7757,8650,8700,8879,8891,8987,9009,9052,9072,9076,9078,9100,9108,9189,9195,9104,9140,9112,9208,9096,8598,9179,7763,7533,8066,7777,7300,6818,5860,4327,1340,150,781,149,157,165,160,1583,256,255,222,254,161,1601,221,148,151,252,250,442,249,253,164,223,167,163,162,153,251,166,168,244,202,243,181,185,200,173,242,186,188,237])).
% 82.63/82.57 cnf(9340,plain,
% 82.63/82.57 (P1(f6(a3,a17,a2),a2,a3)),
% 82.63/82.57 inference(scs_inference,[],[9149,8629,8903,8923,7757,8650,8700,8879,8891,8987,9009,9052,9072,9076,9078,9100,9108,9189,9195,9104,9140,9112,9208,9096,6871,8598,9179,7763,8656,7533,8066,7777,7300,6818,5860,4327,1340,150,781,149,157,165,160,1583,256,255,222,254,161,1601,221,148,151,252,250,442,249,253,164,223,167,163,162,153,251,166,168,244,202,243,181,185,200,173,242,186,188,237,187,197,170,196,220,194,198,201,175])).
% 82.63/82.57 cnf(9344,plain,
% 82.63/82.57 (P1(f21(a17,a3,a16,a2),a16,a2)),
% 82.63/82.57 inference(scs_inference,[],[9149,8629,8903,8923,7757,8650,8700,8879,8891,8987,9009,9052,9072,9076,9078,9100,9108,9189,9195,9104,9140,9112,9208,9096,6871,8598,9179,7763,8163,8656,7533,8066,8738,7777,7300,6818,5860,4327,1340,150,781,149,157,165,160,1583,256,255,222,254,161,1601,221,148,151,252,250,442,249,253,164,223,167,163,162,153,251,166,168,244,202,243,181,185,200,173,242,186,188,237,187,197,170,196,220,194,198,201,175,195,191])).
% 82.63/82.57 cnf(9352,plain,
% 82.63/82.57 (P9(a2,a16,a3,a1)),
% 82.63/82.57 inference(scs_inference,[],[9149,8629,8903,8923,7757,8650,8700,8879,8891,8987,9009,9052,9072,9076,9078,9100,9108,9147,9189,9195,8931,9104,9140,9112,9208,9096,6871,8598,9179,7763,8684,7125,8163,8656,7533,8066,8738,7777,7300,6818,5860,4327,1340,150,781,149,157,165,160,1583,256,255,222,254,161,1601,221,148,151,252,250,442,249,253,164,223,167,163,162,153,251,166,168,244,202,243,181,185,200,173,242,186,188,237,187,197,170,196,220,194,198,201,175,195,191,178,190,174,238])).
% 82.63/82.57 cnf(9355,plain,
% 82.63/82.57 (P4(a3,f22(a17,a17,a17,a17),a17,a17)),
% 82.63/82.57 inference(scs_inference,[],[9149,8629,8903,8923,9070,7757,8650,8700,8879,8891,8987,9009,9052,9072,9076,9078,9100,9108,9147,9189,9195,8006,8931,9104,9140,9112,9208,9096,6871,8598,9179,7763,8684,7125,8163,8656,7533,8066,8738,7777,7300,6818,5860,4327,1340,150,781,149,157,165,160,1583,256,255,222,254,161,1601,221,148,151,252,250,442,249,253,164,223,167,163,162,153,251,166,168,244,202,243,181,185,200,173,242,186,188,237,187,197,170,196,220,194,198,201,175,195,191,178,190,174,238,233])).
% 82.63/82.57 cnf(9360,plain,
% 82.63/82.57 (P3(a2,a3,a3)),
% 82.63/82.57 inference(scs_inference,[],[9149,8629,8903,8923,9070,7757,8650,8700,8879,8891,8987,9009,9052,9072,9076,9078,9100,9108,9126,9147,9189,9195,8006,8931,9104,9140,9112,9208,9096,6871,8598,9179,8636,7763,8684,7125,8163,8656,7533,8066,8738,7904,5237,7777,7300,6818,5860,4327,1340,150,781,149,157,165,160,1583,256,255,222,254,161,1601,221,148,151,252,250,442,249,253,164,223,167,163,162,153,251,166,168,244,202,243,181,185,200,173,242,186,188,237,187,197,170,196,220,194,198,201,175,195,191,178,190,174,238,233,224,159])).
% 82.63/82.57 cnf(9364,plain,
% 82.63/82.57 (P3(f7(a16,a2,a16),a16,a16)),
% 82.63/82.57 inference(scs_inference,[],[9149,8629,8903,8923,9070,7757,8650,8700,8879,8891,8987,9009,9052,9072,9076,9078,9100,9108,9126,9147,9189,9195,8006,8931,9104,9140,9112,9208,9096,6871,8598,9179,9193,8636,7763,8684,7125,8163,8656,8907,8412,6472,7533,8066,8738,7904,5237,7777,7300,6818,7129,5860,4327,1340,150,781,149,157,165,160,1583,256,255,222,254,161,1601,221,148,151,252,250,442,249,253,164,223,167,163,162,153,251,166,168,244,202,243,181,185,200,173,242,186,188,237,187,197,170,196,220,194,198,201,175,195,191,178,190,174,238,233,224,159,189,183])).
% 82.63/82.57 cnf(9377,plain,
% 82.63/82.57 (P8(a3,a3,a2,a17,a17,a2,a17,a17)),
% 82.63/82.57 inference(scs_inference,[],[142,9149,8629,8903,8923,9070,7757,8650,8700,8879,8891,8953,8987,9009,9052,9072,9076,9078,9100,9108,9126,9147,9189,9195,8006,8931,9104,9140,9112,9208,9096,6871,8598,9179,9193,8871,8636,7763,8684,7125,7216,6049,8163,8386,8656,8907,8412,5670,6472,7533,8066,8738,7904,5237,6045,7777,4963,7300,6818,5872,7129,5860,4327,1340,150,781,149,157,165,160,1583,256,255,222,254,161,1601,221,148,151,252,250,442,249,253,164,223,167,163,162,153,251,166,168,244,202,243,181,185,200,173,242,186,188,237,187,197,170,196,220,194,198,201,175,195,191,178,190,174,238,233,224,159,189,183,248,206,203,205,204,4580])).
% 82.63/82.57 cnf(9383,plain,
% 82.63/82.57 (P10(a2,a2,a2,a17)),
% 82.63/82.57 inference(scs_inference,[],[142,9149,8629,8903,8923,9070,7757,8650,8700,8879,8891,8953,8987,9009,9052,9072,9076,9078,9100,9108,9126,9147,9189,9195,8006,8931,9104,9140,9112,9208,9096,6871,8598,9179,9193,8871,8636,7763,8684,7125,7216,6049,8163,8386,8656,8907,8412,5670,6472,7533,8066,8738,7904,5237,6045,7777,4963,7300,6818,5872,7129,5860,4327,1340,150,781,149,157,165,160,1583,256,255,222,254,161,1601,221,148,151,252,250,442,249,253,164,223,167,163,162,153,251,166,168,244,202,243,181,185,200,173,242,186,188,237,187,197,170,196,220,194,198,201,175,195,191,178,190,174,238,233,224,159,189,183,248,206,203,205,204,4580,4331,544,230])).
% 82.63/82.57 cnf(9385,plain,
% 82.63/82.57 (P7(a16,a17,a17,a2,a16,a17,a17,a2)),
% 82.63/82.57 inference(scs_inference,[],[142,9149,8629,8903,8923,9070,7757,8650,8700,8879,8891,8953,8987,9009,9052,9072,9076,9078,9100,9108,9126,9147,9189,9195,8006,8931,9104,9140,9112,9208,9096,6871,8598,9179,9193,8871,8636,7763,8684,7125,7216,6049,8163,8386,8656,8907,8412,5670,6472,7533,8066,8738,7904,5237,6045,7777,4963,7300,6818,5872,7129,5860,4327,1340,150,781,149,157,165,160,1583,256,255,222,254,161,1601,221,148,151,252,250,442,249,253,164,223,167,163,162,153,251,166,168,244,202,243,181,185,200,173,242,186,188,237,187,197,170,196,220,194,198,201,175,195,191,178,190,174,238,233,224,159,189,183,248,206,203,205,204,4580,4331,544,230,785])).
% 82.63/82.57 cnf(9391,plain,
% 82.63/82.57 (~P4(x93911,a18,a1,a19)+~P4(x93911,a18,a1,a17)),
% 82.63/82.57 inference(scs_inference,[],[142,9149,8629,8903,8923,9070,7757,8650,8700,8879,8891,8953,8987,9009,9052,9072,9076,9078,9100,9108,9126,9147,9189,9195,8006,8931,9104,9140,9112,9208,9096,6871,8598,9179,9193,8871,8636,7763,8684,7125,7216,6049,8163,8386,8656,8907,8412,5670,320,6472,7533,8066,8738,7904,5237,6045,7777,4963,7300,6818,5872,7129,5860,4327,1340,150,781,149,157,165,160,1583,256,255,222,254,161,1601,221,148,151,252,250,442,249,253,164,223,167,163,162,153,251,166,168,244,202,243,181,185,200,173,242,186,188,237,187,197,170,196,220,194,198,201,175,195,191,178,190,174,238,233,224,159,189,183,248,206,203,205,204,4580,4331,544,230,785,184,793,182])).
% 82.63/82.57 cnf(9420,plain,
% 82.63/82.57 (P8(x94201,x94202,x94203,x94204,x94202,x94201,x94203,x94204)),
% 82.63/82.57 inference(scs_inference,[],[9262,8807,9210,7206,9311,9174,9340,9344,8533,4327,1340,149,150,781,1583,157,256,222])).
% 82.63/82.57 cnf(9422,plain,
% 82.63/82.57 (P10(a1,a1,a1,a16)),
% 82.63/82.57 inference(scs_inference,[],[9262,8807,9210,7206,9311,9174,9340,9344,8533,4327,1340,149,150,781,1583,157,256,222,160])).
% 82.63/82.57 cnf(9428,plain,
% 82.63/82.57 (P5(a2,a19,a19,a3)),
% 82.63/82.57 inference(scs_inference,[],[9262,8807,9019,9210,9094,7206,9311,9174,9340,9344,8533,4327,1340,149,150,781,1583,157,256,222,160,255,254,165])).
% 82.63/82.57 cnf(9430,plain,
% 82.63/82.57 (P10(a18,a18,a16,a2)),
% 82.63/82.57 inference(scs_inference,[],[9262,8807,9019,9210,8554,9094,7206,9311,9174,9340,9344,8533,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161])).
% 82.63/82.57 cnf(9434,plain,
% 82.63/82.57 (P1(x94341,x94342,x94341)),
% 82.63/82.57 inference(scs_inference,[],[9262,9246,8807,9019,9210,8554,9094,7206,9311,9174,9340,9344,8533,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148])).
% 82.63/82.57 cnf(9436,plain,
% 82.63/82.57 (P3(f24(a3,a2,a3,a2,a2,a2),a2,a3)),
% 82.72/82.57 inference(scs_inference,[],[9262,9246,8807,9019,9210,8554,9094,7206,9311,9174,9340,9344,8533,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151])).
% 82.72/82.57 cnf(9440,plain,
% 82.72/82.57 (P8(x94401,x94402,x94401,x94402,x94403,x94404,x94403,x94404)),
% 82.72/82.57 inference(scs_inference,[],[9258,9262,9246,8807,9019,9210,8554,9094,7206,7791,9311,9174,9340,9344,8533,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252])).
% 82.72/82.57 cnf(9442,plain,
% 82.72/82.57 (P8(a2,a16,x94421,x94422,a3,a3,x94422,x94421)),
% 82.72/82.57 inference(scs_inference,[],[9258,9262,9246,8807,9019,9210,9084,8554,9094,7206,7791,9311,9174,9340,9344,8533,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250])).
% 82.72/82.57 cnf(9450,plain,
% 82.72/82.57 (P4(a3,a17,f22(a17,a17,a17,a17),a17)),
% 82.72/82.57 inference(scs_inference,[],[9258,9262,9246,8807,9019,9210,9084,7933,8554,9094,7206,7791,9311,9174,9355,9340,9344,8533,6556,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167])).
% 82.72/82.57 cnf(9458,plain,
% 82.72/82.57 (P9(a1,a3,a17,a17)),
% 82.72/82.57 inference(scs_inference,[],[9258,9262,9246,8807,9019,9210,9084,9086,7933,8554,8867,9094,9288,9292,7206,7791,9311,9174,9355,9340,9344,8533,6556,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162])).
% 82.72/82.57 cnf(9460,plain,
% 82.72/82.57 (P9(a16,a2,a2,a3)),
% 82.72/82.57 inference(scs_inference,[],[9258,9262,9246,8807,9019,9210,9084,9086,7933,8554,8867,9094,9102,9288,9292,7206,7791,9311,9174,9355,9340,9344,8533,6556,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162,163])).
% 82.72/82.57 cnf(9462,plain,
% 82.72/82.57 (P5(a16,a17,a16,a2)),
% 82.72/82.57 inference(scs_inference,[],[9258,9262,9246,8807,9019,9210,9084,9086,7933,8554,8867,9094,9102,9270,9288,9292,7206,7791,9311,9174,9355,9340,9344,8533,6556,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162,163,153])).
% 82.72/82.57 cnf(9464,plain,
% 82.72/82.57 (P8(x94641,x94642,a2,a16,x94641,x94642,a3,a3)),
% 82.72/82.57 inference(scs_inference,[],[9258,9262,9246,8807,9019,9210,9084,9086,7933,8554,8867,9094,9102,9270,9288,9292,7206,7791,9311,9174,9355,9340,9344,8533,6556,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162,163,153,251])).
% 82.72/82.57 cnf(9470,plain,
% 82.72/82.57 (P4(a2,a2,f15(a2,a3,a3,a2),f15(a2,a3,a3,a2))),
% 82.72/82.57 inference(scs_inference,[],[9258,9262,9246,8807,9019,9210,9084,9086,7933,8554,8867,9094,9102,9270,9288,9292,7206,7791,9311,9174,7625,9355,8776,9340,9344,8533,6556,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162,163,153,251,166,168,182])).
% 82.72/82.57 cnf(9479,plain,
% 82.72/82.57 (P1(f23(a17,a17,a2,a17),a2,a17)),
% 82.72/82.57 inference(scs_inference,[],[9258,9262,9246,8807,9019,9210,9084,9086,7933,8554,8867,9094,9102,9270,9288,9292,7206,7791,9311,9174,7625,9355,8776,9340,9344,8533,9118,6556,7777,5860,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162,163,153,251,166,168,182,244,202,243,247])).
% 82.72/82.57 cnf(9483,plain,
% 82.72/82.57 (P1(f22(a2,a17,a2,a17),a2,a17)),
% 82.72/82.57 inference(scs_inference,[],[9258,9262,9246,8807,9019,9210,9084,9086,7933,8554,8867,9094,9102,9270,9284,9288,9292,7206,7791,9311,9174,7625,9355,8776,9340,9344,8533,9118,6556,7777,9009,5860,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162,163,153,251,166,168,182,244,202,243,247,181,246])).
% 82.72/82.57 cnf(9485,plain,
% 82.72/82.57 (P3(f24(a17,a2,a17,a2,a16,a16),a17,a2)),
% 82.72/82.57 inference(scs_inference,[],[9258,9262,9246,8807,9019,9210,9084,9086,7933,8554,8867,9094,9102,9270,9284,9288,9292,7206,7791,9311,9174,7625,9355,8776,9340,9344,8533,9118,6556,7777,9009,5860,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162,163,153,251,166,168,182,244,202,243,247,181,246,200])).
% 82.72/82.57 cnf(9494,plain,
% 82.72/82.57 (P8(x94941,x94942,a2,a16,x94942,x94941,a3,a3)),
% 82.72/82.57 inference(rename_variables,[],[9084])).
% 82.72/82.57 cnf(9515,plain,
% 82.72/82.57 (P9(f13(a3,a17,a3,x95151,x95151),a3,x95151,x95151)),
% 82.72/82.57 inference(scs_inference,[],[9258,9262,9246,8807,9019,9210,9084,9086,7933,8554,8867,9094,9102,9270,9284,9288,9292,9360,5686,7206,7791,9311,9174,7625,9252,9355,8776,9340,9344,8533,9118,6556,8340,9002,8024,6187,7777,8919,9009,9100,8696,5860,5729,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162,163,153,251,166,168,182,244,202,243,247,181,246,200,185,173,186,237,196,242,170,188,197,187,198,220,175,195])).
% 82.72/82.57 cnf(9516,plain,
% 82.72/82.57 (P1(x95161,x95162,x95162)),
% 82.72/82.57 inference(rename_variables,[],[9246])).
% 82.72/82.57 cnf(9518,plain,
% 82.72/82.57 (P1(f21(a3,a2,a16,a2),a16,a2)),
% 82.72/82.57 inference(scs_inference,[],[9258,9262,9246,8807,9019,9210,9084,9086,7933,8554,8867,9094,9102,9270,9284,9288,9292,9360,5686,7206,7791,9311,9174,7625,9252,9355,8776,9340,9344,8533,9118,6556,8340,9002,8024,8911,6187,7777,8919,9009,9100,8696,5860,5729,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162,163,153,251,166,168,182,244,202,243,247,181,246,200,185,173,186,237,196,242,170,188,197,187,198,220,175,195,191])).
% 82.72/82.57 cnf(9520,plain,
% 82.72/82.57 (P10(f24(a17,a2,a17,a2,a16,a16),a16,a17,a17)),
% 82.72/82.57 inference(scs_inference,[],[9258,9262,9246,8807,9019,9210,9084,9086,7933,8554,8867,9094,9102,9270,9284,9288,9292,9360,5686,7206,7791,9311,9174,7625,9252,9355,8776,9340,9344,8533,9118,6556,8340,9002,8024,8911,6187,7777,8919,9009,9100,8696,5860,5729,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162,163,153,251,166,168,182,244,202,243,247,181,246,200,185,173,186,237,196,242,170,188,197,187,198,220,175,195,191,201])).
% 82.72/82.57 cnf(9522,plain,
% 82.72/82.57 (P9(a17,a2,a1,a1)),
% 82.72/82.57 inference(scs_inference,[],[9258,9262,9246,8807,9019,9210,9084,9086,7933,8554,8867,9094,9102,9248,9270,9284,9288,9292,9360,5686,7206,7791,9311,9174,7625,9252,9355,8776,9340,9344,8533,9118,6556,8340,9002,8024,8911,6187,7777,8919,9009,9100,8696,5860,5729,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162,163,153,251,166,168,182,244,202,243,247,181,246,200,185,173,186,237,196,242,170,188,197,187,198,220,175,195,191,201,178])).
% 82.72/82.57 cnf(9528,plain,
% 82.72/82.57 (P9(a3,a3,a1,a3)),
% 82.72/82.57 inference(scs_inference,[],[9258,9262,9246,8807,9019,9210,9080,9084,9086,7933,8554,8702,8867,9094,9102,9248,9270,9284,9288,9292,9352,9360,5686,7206,7791,9311,9174,7625,9252,9355,8776,9340,9344,8533,9118,6556,8340,9002,8024,8911,6187,7777,8919,6570,9009,9100,8696,5860,5729,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162,163,153,251,166,168,182,244,202,243,247,181,246,200,185,173,186,237,196,242,170,188,197,187,198,220,175,195,191,201,178,190,174,238])).
% 82.72/82.57 cnf(9531,plain,
% 82.72/82.57 (P4(x95311,x95312,x95312,x95312)),
% 82.72/82.57 inference(scs_inference,[],[9258,9262,9246,9516,8807,9019,9210,9080,9084,9086,7933,8554,8702,8867,9094,9102,9248,9270,9284,9288,9292,9352,9360,5686,7206,7791,9311,9174,7625,9252,9355,8776,9340,9344,8533,9118,6556,8340,9002,8024,8911,6187,7777,8919,6570,9009,9100,8696,5860,5729,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162,163,153,251,166,168,182,244,202,243,247,181,246,200,185,173,186,237,196,242,170,188,197,187,198,220,175,195,191,201,178,190,174,238,233])).
% 82.72/82.57 cnf(9532,plain,
% 82.72/82.57 (P8(x95321,x95322,x95323,x95324,x95321,x95322,x95323,x95324)),
% 82.72/82.57 inference(rename_variables,[],[9258])).
% 82.72/82.57 cnf(9533,plain,
% 82.72/82.57 (P1(x95331,x95332,x95332)),
% 82.72/82.57 inference(rename_variables,[],[9246])).
% 82.72/82.57 cnf(9537,plain,
% 82.72/82.57 (P3(a17,a17,a17)),
% 82.72/82.57 inference(scs_inference,[],[9258,9532,9262,9246,9516,9533,8807,9019,9210,9080,9084,9086,7933,8554,8702,8867,9094,9102,9248,9270,9284,9288,9292,9307,9352,9360,5686,7206,8068,7791,9311,9174,7625,9252,9355,8776,9340,9344,8533,9118,6556,8340,9002,8024,8911,6187,7777,8919,6570,9009,9100,8696,5860,5729,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162,163,153,251,166,168,182,244,202,243,247,181,246,200,185,173,186,237,196,242,170,188,197,187,198,220,175,195,191,201,178,190,174,238,233,224,236])).
% 82.72/82.57 cnf(9538,plain,
% 82.72/82.57 (P1(x95381,x95382,x95382)),
% 82.72/82.57 inference(rename_variables,[],[9246])).
% 82.72/82.57 cnf(9539,plain,
% 82.72/82.57 (P8(x95391,x95392,x95393,x95394,x95391,x95392,x95393,x95394)),
% 82.72/82.57 inference(rename_variables,[],[9258])).
% 82.72/82.57 cnf(9541,plain,
% 82.72/82.57 (P3(f8(a2,a16,a16,a16),a3,a3)),
% 82.72/82.57 inference(scs_inference,[],[9258,9532,9262,9246,9516,9533,9538,8807,9019,9210,9080,9084,9086,7933,8554,8702,8867,9094,9102,9248,9270,9284,9288,9292,9307,9352,9360,5686,7206,8068,7791,9311,9174,7625,9252,9355,8776,9340,9344,8533,9118,6556,8340,9002,8024,8911,6187,7777,8919,6570,9009,9100,8696,5860,5729,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162,163,153,251,166,168,182,244,202,243,247,181,246,200,185,173,186,237,196,242,170,188,197,187,198,220,175,195,191,201,178,190,174,238,233,224,236,159])).
% 82.72/82.57 cnf(9542,plain,
% 82.72/82.57 (P1(x95421,x95422,x95422)),
% 82.72/82.57 inference(rename_variables,[],[9246])).
% 82.72/82.57 cnf(9549,plain,
% 82.72/82.57 (P5(f4(a2,a2,a2),f4(a2,a2,a2),f4(a2,a2,a2),f4(a2,a2,a2))),
% 82.72/82.57 inference(scs_inference,[],[9258,9532,9539,9262,9246,9516,9533,9538,8807,9019,9210,9080,9084,9086,7933,8554,8702,8867,9094,9102,9248,9270,9284,9288,9292,9307,9352,9360,5686,7206,8068,7791,9311,9174,7625,9252,9355,8776,9340,9344,8533,6401,9118,7113,6556,7427,8340,9002,8024,8911,7319,6187,7777,8919,6570,9009,9100,8696,7361,5860,5729,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162,163,153,251,166,168,182,244,202,243,247,181,246,200,185,173,186,237,196,242,170,188,197,187,198,220,175,195,191,201,178,190,174,238,233,224,236,159,189,183,248])).
% 82.72/82.57 cnf(9552,plain,
% 82.72/82.57 (P1(f27(a3,a3,a2,a17,a3,a2),a3,a17)),
% 82.72/82.57 inference(scs_inference,[],[9258,9532,9539,9262,9246,9516,9533,9538,8807,9019,9210,9080,9084,9086,7933,8554,8702,8867,9094,9102,9248,9270,9284,9288,9292,9307,9352,9360,5686,7206,8068,7791,9311,9174,7625,9252,9355,8776,9340,9344,8533,6401,9118,7113,7959,6556,7427,8340,9149,9002,8024,8911,7319,5231,6187,7777,8919,6570,9009,9100,8696,7361,5860,5729,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162,163,153,251,166,168,182,244,202,243,247,181,246,200,185,173,186,237,196,242,170,188,197,187,198,220,175,195,191,201,178,190,174,238,233,224,236,159,189,183,248,206])).
% 82.72/82.57 cnf(9553,plain,
% 82.72/82.57 (P10(x95531,x95532,x95531,x95532)),
% 82.72/82.57 inference(rename_variables,[],[9149])).
% 82.72/82.57 cnf(9555,plain,
% 82.72/82.57 (P1(a1,x95551,f14(a2,a2,a16,a16,a1,x95551))),
% 82.72/82.57 inference(scs_inference,[],[142,9258,9532,9539,9262,9246,9516,9533,9538,9542,8807,9019,9210,9080,9084,9086,7933,8554,8702,8867,9094,9102,9248,9270,9284,9288,9292,9307,9352,9360,5686,7206,8068,7791,9311,9174,7625,9252,9355,8776,9340,9344,8533,6401,9118,7113,7959,6556,7427,8340,9149,9002,8024,8911,7319,5231,6187,7777,8919,6570,5652,9009,9100,8696,7361,5860,5729,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162,163,153,251,166,168,182,244,202,243,247,181,246,200,185,173,186,237,196,242,170,188,197,187,198,220,175,195,191,201,178,190,174,238,233,224,236,159,189,183,248,206,203])).
% 82.72/82.57 cnf(9556,plain,
% 82.72/82.57 (P1(x95561,x95562,x95562)),
% 82.72/82.57 inference(rename_variables,[],[9246])).
% 82.72/82.57 cnf(9559,plain,
% 82.72/82.57 (P1(f27(a3,a3,a2,a17,a3,a2),a2,a3)),
% 82.72/82.57 inference(scs_inference,[],[142,9258,9532,9539,9262,9246,9516,9533,9538,9542,8807,9019,9210,9080,9084,9086,7933,8554,8702,8867,9094,9102,9248,9270,9284,9288,9292,9307,9352,9360,5686,7206,8068,7791,9311,9174,7625,9252,9355,8776,9340,9344,8533,6401,9118,7113,7959,6556,7427,8340,9149,9553,9002,8024,8911,7319,5231,6187,7777,8919,6570,5652,9009,9100,8696,7361,5860,5729,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162,163,153,251,166,168,182,244,202,243,247,181,246,200,185,173,186,237,196,242,170,188,197,187,198,220,175,195,191,201,178,190,174,238,233,224,236,159,189,183,248,206,203,205])).
% 82.72/82.57 cnf(9562,plain,
% 82.72/82.57 (P1(f14(a2,a2,a16,a2,a1,a1),a16,a2)),
% 82.72/82.57 inference(scs_inference,[],[142,9258,9532,9539,9262,9246,9516,9533,9538,9542,9556,8807,9019,9210,9080,9084,9086,7933,8554,8702,8867,9094,9102,9248,9270,9284,9288,9292,9307,9352,9360,5686,7206,8068,7791,9311,9174,7625,9252,9355,8776,9340,9344,8533,6401,9118,7113,7155,7959,6556,7427,8340,9149,9553,9002,8024,8911,7319,5231,6187,7777,8919,6570,5652,9009,9100,8696,7361,5860,5729,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162,163,153,251,166,168,182,244,202,243,247,181,246,200,185,173,186,237,196,242,170,188,197,187,198,220,175,195,191,201,178,190,174,238,233,224,236,159,189,183,248,206,203,205,204])).
% 82.72/82.57 cnf(9566,plain,
% 82.72/82.57 (P10(a19,a19,a16,a2)),
% 82.72/82.57 inference(scs_inference,[],[142,9258,9532,9539,9262,9246,9516,9533,9538,9542,9556,8807,9019,9210,9080,9084,9086,7933,8554,8702,8867,9094,9102,9248,9270,9284,9288,9292,9307,9352,9360,5686,7206,8068,7791,9311,9174,7625,9252,9355,8776,9340,9344,8533,6401,9118,7113,7155,7959,6556,7427,8340,9149,9553,9002,8024,8911,7319,5231,6187,7777,8919,6570,5652,9009,9100,8696,7361,5860,5729,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162,163,153,251,166,168,182,244,202,243,247,181,246,200,185,173,186,237,196,242,170,188,197,187,198,220,175,195,191,201,178,190,174,238,233,224,236,159,189,183,248,206,203,205,204,3834])).
% 82.72/82.57 cnf(9570,plain,
% 82.72/82.57 (P9(a18,a18,a1,a3)),
% 82.72/82.57 inference(scs_inference,[],[142,9258,9532,9539,9262,9246,9516,9533,9538,9542,9556,8807,9019,9210,9080,9084,9086,7933,8554,8702,8867,9094,9102,9248,9270,9284,9288,9292,9307,9352,9360,5686,7206,8068,7791,9311,9174,7625,9252,9355,8776,9340,9344,8533,6401,9118,7113,7155,7959,6556,7427,8340,9149,9553,9002,8024,8911,7319,5231,6187,7777,8919,6570,5652,9009,9100,8696,7361,5860,5729,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162,163,153,251,166,168,182,244,202,243,247,181,246,200,185,173,186,237,196,242,170,188,197,187,198,220,175,195,191,201,178,190,174,238,233,224,236,159,189,183,248,206,203,205,204,3834,3417,1268,3036])).
% 82.72/82.57 cnf(9574,plain,
% 82.72/82.57 (P9(a16,a16,a1,a3)),
% 82.72/82.57 inference(scs_inference,[],[142,9258,9532,9539,9262,9246,9516,9533,9538,9542,9556,8807,9019,9210,9080,9084,9086,7933,8554,8702,8867,9094,9102,9248,9270,9284,9288,9292,9307,9352,9360,5686,7206,8068,7791,9311,9174,7625,9252,9355,8776,9340,9344,8533,6401,9118,7113,7155,7959,6556,7427,8340,9149,9553,9002,8024,8911,7319,5231,6187,7777,8919,6570,5652,9009,9100,8696,7361,5860,5729,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162,163,153,251,166,168,182,244,202,243,247,181,246,200,185,173,186,237,196,242,170,188,197,187,198,220,175,195,191,201,178,190,174,238,233,224,236,159,189,183,248,206,203,205,204,3834,3417,1268,3036,4808,1252])).
% 82.72/82.57 cnf(9586,plain,
% 82.72/82.57 (P9(a18,a18,a3,a1)),
% 82.72/82.57 inference(scs_inference,[],[142,9258,9532,9539,9262,9246,9516,9533,9538,9542,9556,8807,9019,9210,9080,9084,9086,7933,8554,8702,8867,9094,9102,9248,9270,9284,9288,9292,9307,9352,9360,5686,7206,8068,7791,9311,9174,7625,9252,9355,8776,9340,9344,8533,6401,9118,7113,7155,7959,6556,7427,8340,9149,9553,9002,8024,8911,7319,5231,6187,7777,8919,6570,5652,9009,9100,8696,7361,5860,5729,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162,163,153,251,166,168,182,244,202,243,247,181,246,200,185,173,186,237,196,242,170,188,197,187,198,220,175,195,191,201,178,190,174,238,233,224,236,159,189,183,248,206,203,205,204,3834,3417,1268,3036,4808,1252,4714,4701,1119,4083,4736,513])).
% 82.72/82.57 cnf(9592,plain,
% 82.72/82.57 (P10(a19,a19,a2,a16)),
% 82.72/82.57 inference(scs_inference,[],[142,9258,9532,9539,9262,9246,9516,9533,9538,9542,9556,8807,9019,9210,9080,9084,9086,7933,8554,8702,8867,9094,9102,9248,9270,9284,9288,9292,9307,9352,9360,5686,7206,8068,7791,9311,9174,7625,9252,9355,8776,9340,9344,8533,6401,9118,7113,7155,7959,6556,7427,8340,9149,9553,9002,8024,8911,7319,5231,6187,7777,8919,6570,5652,9009,9100,8696,7361,5860,5729,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162,163,153,251,166,168,182,244,202,243,247,181,246,200,185,173,186,237,196,242,170,188,197,187,198,220,175,195,191,201,178,190,174,238,233,224,236,159,189,183,248,206,203,205,204,3834,3417,1268,3036,4808,1252,4714,4701,1119,4083,4736,513,3059,4331,350])).
% 82.72/82.57 cnf(9599,plain,
% 82.72/82.57 (~P4(a19,a1,a18,x95991)+~E(x95991,a17)),
% 82.72/82.57 inference(scs_inference,[],[142,9258,9532,9539,9262,9246,9516,9533,9538,9542,9556,8807,9019,9210,9080,9084,9494,9086,7933,8554,8702,8867,9094,9102,9248,9270,9284,9288,9292,9307,9352,9360,5686,7206,8068,7791,9311,9174,7625,9252,9355,8776,9340,9344,8533,6401,9118,7113,7155,7959,6556,7427,8340,408,9149,9553,9002,8024,8911,7319,5231,6187,7777,8919,6570,5652,9009,9100,8696,7361,5860,5729,4327,1340,149,150,781,1583,157,256,222,160,255,254,165,161,1601,148,151,221,252,250,253,793,442,167,249,223,164,162,163,153,251,166,168,182,244,202,243,247,181,246,200,185,173,186,237,196,242,170,188,197,187,198,220,175,195,191,201,178,190,174,238,233,224,236,159,189,183,248,206,203,205,204,3834,3417,1268,3036,4808,1252,4714,4701,1119,4083,4736,513,3059,4331,350,4645,184,113])).
% 82.72/82.57 cnf(9612,plain,
% 82.72/82.57 (P1(x96121,x96122,x96121)),
% 82.72/82.57 inference(rename_variables,[],[9434])).
% 82.72/82.57 cnf(9615,plain,
% 82.72/82.57 (P1(x96151,x96152,x96151)),
% 82.72/82.57 inference(rename_variables,[],[9434])).
% 82.72/82.57 cnf(9617,plain,
% 82.72/82.57 (P7(a2,a19,a19,a2,a2,a19,a19,a2)),
% 82.72/82.57 inference(scs_inference,[],[9434,9612,9615,4342,789,805])).
% 82.72/82.57 cnf(9618,plain,
% 82.72/82.57 (P1(x96181,x96182,x96181)),
% 82.72/82.57 inference(rename_variables,[],[9434])).
% 82.72/82.57 cnf(9620,plain,
% 82.72/82.57 (P7(a19,a3,a3,a19,a19,a3,a3,a19)),
% 82.72/82.57 inference(scs_inference,[],[9434,9612,9615,9618,4342,789,805,4334])).
% 82.72/82.57 cnf(9621,plain,
% 82.72/82.57 (P1(x96211,x96212,x96211)),
% 82.72/82.57 inference(rename_variables,[],[9434])).
% 82.72/82.57 cnf(9624,plain,
% 82.72/82.57 (P1(x96241,x96242,x96241)),
% 82.72/82.57 inference(rename_variables,[],[9434])).
% 82.72/82.57 cnf(9627,plain,
% 82.72/82.57 (P1(x96271,x96272,x96271)),
% 82.72/82.57 inference(rename_variables,[],[9434])).
% 82.72/82.57 cnf(9630,plain,
% 82.72/82.57 (P1(x96301,x96302,x96301)),
% 82.72/82.57 inference(rename_variables,[],[9434])).
% 82.72/82.57 cnf(9633,plain,
% 82.72/82.57 (P1(x96331,x96332,x96331)),
% 82.72/82.57 inference(rename_variables,[],[9434])).
% 82.72/82.57 cnf(9636,plain,
% 82.72/82.57 (P1(x96361,x96362,x96361)),
% 82.72/82.57 inference(rename_variables,[],[9434])).
% 82.72/82.57 cnf(9639,plain,
% 82.72/82.57 (P1(x96391,x96392,x96391)),
% 82.72/82.57 inference(rename_variables,[],[9434])).
% 82.72/82.57 cnf(9641,plain,
% 82.72/82.57 (P9(a19,a19,a3,a1)),
% 82.72/82.57 inference(scs_inference,[],[9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9574,4342,789,805,4334,801,3053,4338,1609,3038,1347,588])).
% 82.72/82.57 cnf(9644,plain,
% 82.72/82.57 (P1(x96441,x96442,x96441)),
% 82.72/82.57 inference(rename_variables,[],[9434])).
% 82.72/82.57 cnf(9647,plain,
% 82.72/82.57 (P9(f13(a3,a17,a3,x96471,x96471),a3,x96471,x96471)),
% 82.72/82.57 inference(rename_variables,[],[9515])).
% 82.72/82.57 cnf(9650,plain,
% 82.72/82.57 (P9(f13(a3,a17,a3,x96501,x96501),a3,x96501,x96501)),
% 82.72/82.57 inference(rename_variables,[],[9515])).
% 82.72/82.57 cnf(9653,plain,
% 82.72/82.57 (P9(f13(a3,a17,a3,x96531,x96531),a3,x96531,x96531)),
% 82.72/82.57 inference(rename_variables,[],[9515])).
% 82.72/82.57 cnf(9655,plain,
% 82.72/82.57 (P10(f13(a3,a17,a3,a18,a18),a3,a17,a17)),
% 82.72/82.57 inference(scs_inference,[],[9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9574,9515,9647,9650,9653,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251])).
% 82.72/82.57 cnf(9664,plain,
% 82.72/82.57 (P1(f24(a3,a2,a3,a2,a2,a2),a2,a3)),
% 82.72/82.57 inference(scs_inference,[],[9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9574,9515,9647,9650,9653,9436,9559,9479,9552,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150])).
% 82.72/82.57 cnf(9668,plain,
% 82.72/82.57 (P1(x96681,x96681,x96682)),
% 82.72/82.57 inference(scs_inference,[],[9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9574,9515,9647,9650,9653,9436,9559,9479,9518,9552,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149])).
% 82.72/82.57 cnf(9672,plain,
% 82.72/82.57 (P8(a2,a2,x96721,x96722,a2,a17,x96721,x96722)),
% 82.72/82.57 inference(scs_inference,[],[9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9021,9383,9574,9515,9647,9650,9653,9436,9559,9479,9518,9552,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222])).
% 82.72/82.57 cnf(9680,plain,
% 82.72/82.57 (P10(a3,a2,a3,a1)),
% 82.72/82.57 inference(scs_inference,[],[9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9021,9592,9383,9574,9068,9515,9647,9650,9653,9436,9559,9479,9520,9518,9552,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161])).
% 82.72/82.57 cnf(9690,plain,
% 82.72/82.57 (P5(a16,a17,a2,a16)),
% 82.72/82.57 inference(scs_inference,[],[9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9021,9592,9383,9574,9068,9462,8921,9515,9647,9650,9653,9436,9485,9559,9479,9520,9518,9552,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165])).
% 82.72/82.57 cnf(9692,plain,
% 82.72/82.57 (P1(a2,a3,a16)),
% 82.72/82.57 inference(scs_inference,[],[9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9021,9592,9383,9574,9068,9244,9462,8921,9515,9647,9650,9653,9436,9485,9559,9479,9520,9518,9552,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148])).
% 82.72/82.57 cnf(9694,plain,
% 82.72/82.57 (P8(x96941,x96942,x96942,x96941,x96943,x96944,x96943,x96944)),
% 82.72/82.57 inference(scs_inference,[],[9420,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9021,9592,9383,9574,9068,9244,9462,8921,9515,9647,9650,9653,9436,9485,9559,9479,9520,9518,9552,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252])).
% 82.72/82.57 cnf(9696,plain,
% 82.72/82.57 (P8(x96961,x96962,x96963,x96964,x96961,x96962,x96964,x96963)),
% 82.72/82.57 inference(scs_inference,[],[9420,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9021,9592,9383,9574,9068,9244,9462,8921,9515,9647,9650,9653,9436,9485,9559,9479,9520,9518,9552,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250])).
% 82.72/82.57 cnf(9702,plain,
% 82.72/82.57 (P5(f8(a2,a16,a16,a16),a3,f8(a2,a16,a16,a16),a3)),
% 82.72/82.57 inference(scs_inference,[],[9420,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9021,9377,9592,9383,9574,7951,9068,9244,9462,8921,9515,9647,9650,9653,9541,9436,9485,9559,9479,9520,9518,9552,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153])).
% 82.72/82.57 cnf(9704,plain,
% 82.72/82.57 (P5(a19,a2,a3,a19)),
% 82.72/82.57 inference(scs_inference,[],[9420,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9021,9377,9592,9383,9574,7951,9054,9068,9244,9462,8921,9515,9647,9650,9653,9541,9436,9485,9559,9479,9520,9518,9552,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153,164])).
% 82.72/82.57 cnf(9706,plain,
% 82.72/82.57 (P9(a1,a3,a3,a3)),
% 82.72/82.57 inference(scs_inference,[],[9420,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9021,9377,9528,9592,9383,9574,7951,9054,9068,9244,9462,8921,9515,9647,9650,9653,9541,9436,9485,9559,9479,9520,9518,9552,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153,164,162])).
% 82.72/82.57 cnf(9712,plain,
% 82.72/82.57 (P4(a2,f15(a2,a3,a3,a2),a2,f15(a2,a3,a3,a2))),
% 82.72/82.57 inference(scs_inference,[],[9420,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9021,9377,9528,9592,9383,9574,7951,9054,9068,9244,9462,8921,9515,9647,9650,9653,9470,9541,9436,9485,9559,9479,9520,9518,9552,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153,164,162,442,223,167])).
% 82.72/82.57 cnf(9714,plain,
% 82.72/82.57 (P9(a3,a3,a3,a1)),
% 82.72/82.57 inference(scs_inference,[],[9420,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9021,9377,9528,9592,9383,9574,7951,9054,9068,9244,9462,8921,9515,9647,9650,9653,9470,9541,9436,9485,9559,9479,9520,9518,9552,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153,164,162,442,223,167,163])).
% 82.72/82.57 cnf(9716,plain,
% 82.72/82.57 (P8(a16,a2,x97161,x97162,a3,a3,x97162,x97161)),
% 82.72/82.57 inference(scs_inference,[],[9420,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9021,9377,9528,9592,9383,9574,9442,7951,9054,9068,9244,9462,8921,9515,9647,9650,9653,9470,9541,9436,9485,9559,9479,9520,9518,9552,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153,164,162,442,223,167,163,251])).
% 82.72/82.57 cnf(9720,plain,
% 82.72/82.57 (P4(x97201,x97202,x97201,x97201)),
% 82.72/82.57 inference(scs_inference,[],[9420,9531,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9021,9377,9528,9592,9383,9574,9442,7951,9054,9068,9244,9462,8921,9515,9647,9650,9653,9470,9541,9436,9485,9559,9479,9450,9520,9518,9552,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153,164,162,442,223,167,163,251,168,166])).
% 82.72/82.57 cnf(9723,plain,
% 82.72/82.57 (P1(x97231,x97232,x97231)),
% 82.72/82.57 inference(rename_variables,[],[9434])).
% 82.72/82.57 cnf(9726,plain,
% 82.72/82.57 (P8(x97261,x97262,x97261,x97262,x97263,x97264,x97263,x97264)),
% 82.72/82.57 inference(rename_variables,[],[9440])).
% 82.72/82.57 cnf(9730,plain,
% 82.72/82.57 (P10(f24(a17,a17,a17,a17,a17,a17),a17,a17,a17)),
% 82.72/82.57 inference(scs_inference,[],[9420,9440,9531,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9021,9377,9528,9592,9383,8352,9574,9442,7951,9054,9068,9244,9462,9537,9549,8921,8000,9515,9647,9650,9653,9470,9541,9436,9485,9559,9479,9450,9520,9518,9552,4910,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153,164,162,442,223,167,163,251,168,166,158,244,180,202])).
% 82.72/82.57 cnf(9733,plain,
% 82.72/82.57 (P9(x97331,x97332,x97331,x97332)),
% 82.72/82.57 inference(rename_variables,[],[5860])).
% 82.72/82.57 cnf(9735,plain,
% 82.72/82.57 (P1(f23(a16,a2,a16,a2),a16,a2)),
% 82.72/82.57 inference(scs_inference,[],[9420,9440,9531,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9021,9377,9528,9592,9383,8352,9574,9442,7951,9054,9068,9244,9462,9537,9549,8921,8000,9515,9647,9650,9653,9470,9541,9436,9485,9559,9479,9450,9520,9518,9552,8169,4910,5860,9733,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153,164,162,442,223,167,163,251,168,166,158,244,180,202,243,247])).
% 82.72/82.57 cnf(9736,plain,
% 82.72/82.57 (P9(x97361,x97362,x97361,x97362)),
% 82.72/82.57 inference(rename_variables,[],[5860])).
% 82.72/82.57 cnf(9738,plain,
% 82.72/82.57 (P2(a16,a17,a2,a2)),
% 82.72/82.57 inference(scs_inference,[],[9420,9440,9531,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9021,9377,9528,9592,9383,8352,9574,9442,7951,9054,9068,9244,9462,9537,9549,8921,8000,9515,9647,9650,9653,9470,9541,9436,9485,9559,9479,9450,9520,9518,9552,8169,4910,5860,9733,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153,164,162,442,223,167,163,251,168,166,158,244,180,202,243,247,181])).
% 82.72/82.58 cnf(9747,plain,
% 82.72/82.58 (P5(f8(a17,a2,a2,a17),a17,f8(a17,a2,a2,a17),a17)),
% 82.72/82.58 inference(scs_inference,[],[9420,9440,9531,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9021,9377,9528,9592,9383,8352,9574,9442,7951,9054,9068,9244,9462,9537,8459,9549,8921,8000,9515,9647,9650,9653,9470,9541,9436,9485,9559,9479,9450,9520,9518,9552,8169,9195,7226,4910,6653,5860,9733,9736,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153,164,162,442,223,167,163,251,168,166,158,244,180,202,243,247,181,200,173,185,170])).
% 82.72/82.58 cnf(9749,plain,
% 82.72/82.58 (P9(a1,f5(a1,a3,a3),a3,a3)),
% 82.72/82.58 inference(scs_inference,[],[9420,9440,9531,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9021,9377,9528,9592,9383,8352,9574,9442,7951,9054,9068,9244,9462,9537,8459,9549,8921,8000,9515,9647,9650,9653,9470,9541,9436,9485,9559,9479,9450,9520,9518,9552,8169,9195,7226,4910,6653,5860,9733,9736,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153,164,162,442,223,167,163,251,168,166,158,244,180,202,243,247,181,200,173,185,170,186])).
% 82.72/82.58 cnf(9751,plain,
% 82.72/82.58 (P1(f13(a16,a3,a2,x97511,a3),x97511,a3)),
% 82.72/82.58 inference(scs_inference,[],[9420,9440,9531,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9723,9021,9377,9528,9592,9383,8352,9574,9442,7951,9054,9068,9244,9460,9462,9537,8459,9549,8921,8000,9515,9647,9650,9653,9470,9541,9436,9485,9559,9479,9450,9520,9518,9552,8169,9195,7226,4910,6653,5860,9733,9736,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153,164,162,442,223,167,163,251,168,166,158,244,180,202,243,247,181,200,173,185,170,186,194])).
% 82.72/82.58 cnf(9752,plain,
% 82.72/82.58 (P1(x97521,x97522,x97521)),
% 82.72/82.58 inference(rename_variables,[],[9434])).
% 82.72/82.58 cnf(9755,plain,
% 82.72/82.58 (P8(x97551,x97552,x97553,x97554,x97552,x97551,x97553,x97554)),
% 82.72/82.58 inference(rename_variables,[],[9420])).
% 82.72/82.58 cnf(9763,plain,
% 82.72/82.58 (P9(a1,f6(a3,a1,a3),a3,a3)),
% 82.72/82.58 inference(scs_inference,[],[9420,9440,9531,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9723,9021,9377,9528,9592,9383,8352,9574,9442,7951,9054,9068,9244,9460,9462,9537,8459,9549,8921,8000,9515,9647,9650,9653,9470,9541,9436,9485,9559,9479,9450,9520,9518,9552,8169,9147,9195,7226,4910,6653,5860,9733,9736,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153,164,162,442,223,167,163,251,168,166,158,244,180,202,243,247,181,200,173,185,170,186,194,237,220,196,198,187])).
% 82.72/82.58 cnf(9766,plain,
% 82.72/82.58 (P4(x97661,x97662,x97662,x97662)),
% 82.72/82.58 inference(rename_variables,[],[9531])).
% 82.72/82.58 cnf(9774,plain,
% 82.72/82.58 (P9(f13(a16,a3,a2,x97741,a3),a16,x97741,a3)),
% 82.72/82.58 inference(scs_inference,[],[9420,9440,9531,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9723,9752,9021,9377,9528,9592,9383,8352,9574,9442,7951,9054,9068,9244,9460,9462,9537,8459,9549,8921,8000,9515,9647,9650,9653,9470,9541,9436,9485,9559,9479,9450,9520,9518,9552,8169,9147,9195,8250,7226,4910,7777,6653,5860,9733,9736,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153,164,162,442,223,167,163,251,168,166,158,244,180,202,243,247,181,200,173,185,170,186,194,237,220,196,198,187,188,197,175,201,195])).
% 82.72/82.58 cnf(9775,plain,
% 82.72/82.58 (P1(x97751,x97752,x97751)),
% 82.72/82.58 inference(rename_variables,[],[9434])).
% 82.72/82.58 cnf(9785,plain,
% 82.72/82.58 (P9(a2,a17,a1,a1)),
% 82.72/82.58 inference(scs_inference,[],[9420,9755,9440,9531,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9723,9752,9021,9377,9528,9592,9383,8352,9574,9442,7951,9054,9068,9244,9460,9462,9522,9537,8459,9549,8921,8000,9515,9647,9650,9653,9470,7833,9541,9436,9485,9559,9479,9450,9520,9518,9552,8169,8929,9147,9195,7535,8250,7226,4910,7672,7777,6653,5860,9733,9736,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153,164,162,442,223,167,163,251,168,166,158,244,180,202,243,247,181,200,173,185,170,186,194,237,220,196,198,187,188,197,175,201,195,191,178,190,174,238])).
% 82.72/82.58 cnf(9786,plain,
% 82.72/82.58 (P8(x97861,x97862,x97863,x97864,x97862,x97861,x97863,x97864)),
% 82.72/82.58 inference(rename_variables,[],[9420])).
% 82.72/82.58 cnf(9788,plain,
% 82.72/82.58 (P8(x97881,x97882,x97881,x97882,x97883,x97884,x97884,x97883)),
% 82.72/82.58 inference(scs_inference,[],[9420,9755,9786,9440,9726,9531,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9723,9752,9021,9377,9528,9592,9383,8352,9574,9442,7951,9054,9068,9244,9460,9462,9522,9537,8459,9549,8921,8000,9515,9647,9650,9653,9470,7833,9541,9436,9485,9559,9479,9450,9520,9518,9552,8169,8929,9147,9195,7535,8250,7226,4910,7672,7777,6653,5860,9733,9736,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153,164,162,442,223,167,163,251,168,166,158,244,180,202,243,247,181,200,173,185,170,186,194,237,220,196,198,187,188,197,175,201,195,191,178,190,174,238,259])).
% 82.72/82.58 cnf(9789,plain,
% 82.72/82.58 (P8(x97891,x97892,x97891,x97892,x97893,x97894,x97893,x97894)),
% 82.72/82.58 inference(rename_variables,[],[9440])).
% 82.72/82.58 cnf(9790,plain,
% 82.72/82.58 (P8(x97901,x97902,x97903,x97904,x97902,x97901,x97903,x97904)),
% 82.72/82.58 inference(rename_variables,[],[9420])).
% 82.72/82.58 cnf(9792,plain,
% 82.72/82.58 (P4(a16,a16,a1,a2)),
% 82.72/82.58 inference(scs_inference,[],[142,9420,9755,9786,9440,9726,9789,9531,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9723,9752,9021,9377,9528,9592,9383,8352,9574,9442,7951,9054,9068,9244,9460,9462,9522,9537,8459,9549,8921,8000,9515,9647,9650,9653,9470,7833,9541,9436,9485,9559,9479,9450,9520,9518,9552,8169,8929,9147,9195,7535,8250,7226,4910,7672,7777,6653,5860,9733,9736,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153,164,162,442,223,167,163,251,168,166,158,244,180,202,243,247,181,200,173,185,170,186,194,237,220,196,198,187,188,197,175,201,195,191,178,190,174,238,259,233])).
% 82.72/82.58 cnf(9793,plain,
% 82.72/82.58 (P8(x97931,x97932,x97931,x97932,x97933,x97934,x97933,x97934)),
% 82.72/82.58 inference(rename_variables,[],[9440])).
% 82.72/82.58 cnf(9797,plain,
% 82.72/82.58 (P3(a16,a16,a16)),
% 82.72/82.58 inference(scs_inference,[],[142,9420,9755,9786,9440,9726,9789,9793,9531,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9723,9752,9775,9021,9377,9528,9592,9383,8352,9574,9442,7951,9054,9068,9244,9460,9462,9522,9537,8459,9549,8921,8000,8557,9515,9647,9650,9653,9470,7833,9541,9436,9485,9559,9479,9450,9520,9518,9552,8252,8169,8929,9147,9195,7877,7535,8250,7226,4910,7672,7777,6653,5860,9733,9736,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153,164,162,442,223,167,163,251,168,166,158,244,180,202,243,247,181,200,173,185,170,186,194,237,220,196,198,187,188,197,175,201,195,191,178,190,174,238,259,233,224,236])).
% 82.72/82.58 cnf(9798,plain,
% 82.72/82.58 (P8(x97981,x97982,x97981,x97982,x97983,x97984,x97983,x97984)),
% 82.72/82.58 inference(rename_variables,[],[9440])).
% 82.72/82.58 cnf(9799,plain,
% 82.72/82.58 (P1(x97991,x97992,x97991)),
% 82.72/82.58 inference(rename_variables,[],[9434])).
% 82.72/82.58 cnf(9801,plain,
% 82.72/82.58 (P3(a18,a2,a2)),
% 82.72/82.58 inference(scs_inference,[],[142,9420,9755,9786,9440,9726,9789,9793,9531,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9723,9752,9775,9021,9377,9528,9592,9383,8352,9574,9442,7951,9054,9068,9244,9430,9460,9462,9522,9537,8459,9549,8921,8000,8557,9515,9647,9650,9653,9470,7833,9541,9436,9485,9559,9479,9450,9520,9518,9552,8252,8169,8929,9147,9195,7877,7535,9246,8250,7226,4831,4910,7672,7777,6653,5860,9733,9736,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153,164,162,442,223,167,163,251,168,166,158,244,180,202,243,247,181,200,173,185,170,186,194,237,220,196,198,187,188,197,175,201,195,191,178,190,174,238,259,233,224,236,159])).
% 82.72/82.58 cnf(9804,plain,
% 82.72/82.58 (P4(a3,f4(a3,a2,a17),f26(a2,a17,a3,a3,a2),f26(a2,a17,a3,a3,a2))),
% 82.72/82.58 inference(scs_inference,[],[142,9420,9755,9786,9440,9726,9789,9793,9531,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9723,9752,9775,9021,9377,9528,9592,9383,8352,9574,9442,7951,9054,9068,9244,9430,9460,9462,9522,9537,8459,9549,8921,8000,8557,9515,9647,9650,9653,5896,9470,7833,9541,9436,9485,9559,9479,9450,9520,9518,9552,8252,8169,8929,9147,9195,7877,7535,9246,8250,7226,4831,4910,7672,7777,6653,5860,9733,9736,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153,164,162,442,223,167,163,251,168,166,158,244,180,202,243,247,181,200,173,185,170,186,194,237,220,196,198,187,188,197,175,201,195,191,178,190,174,238,259,233,224,236,159,193])).
% 82.72/82.58 cnf(9808,plain,
% 82.72/82.58 (P4(x98081,x98082,x98082,x98082)),
% 82.72/82.58 inference(rename_variables,[],[9531])).
% 82.72/82.58 cnf(9810,plain,
% 82.72/82.58 (P5(x98101,x98101,x98101,x98101)),
% 82.72/82.58 inference(scs_inference,[],[142,9420,9755,9786,9790,9440,9726,9789,9793,9531,9766,9808,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9723,9752,9775,9021,9377,9528,9592,9383,8352,9574,9442,7951,9054,9068,9244,9430,9460,9462,9522,9537,8459,9549,8921,8000,8557,9515,9647,9650,9653,5896,9470,7833,9541,9436,9485,9559,9479,9450,9520,9518,9552,8252,8169,8929,9147,9195,7877,7535,9246,8250,7226,4831,4910,7672,5650,7777,6653,5860,9733,9736,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153,164,162,442,223,167,163,251,168,166,158,244,180,202,243,247,181,200,173,185,170,186,194,237,220,196,198,187,188,197,175,201,195,191,178,190,174,238,259,233,224,236,159,193,189,248])).
% 82.72/82.58 cnf(9815,plain,
% 82.72/82.58 (P1(f27(a2,a2,a2,a17,a2,a17),a2,a17)),
% 82.72/82.58 inference(scs_inference,[],[142,9420,9755,9786,9790,9440,9726,9789,9793,9531,9766,9808,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9723,9752,9775,9799,9021,9377,9528,9592,9383,8352,9574,9442,7951,9054,9068,9244,9430,9460,9462,9522,9537,8459,9549,8921,8000,8557,9515,9647,9650,9653,5896,9470,7833,9541,9436,9485,9559,9479,9450,9520,9518,9552,8252,8169,8929,9147,9195,7877,7535,9246,8250,7226,4831,4910,7672,5972,5650,7777,6653,5860,9733,9736,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153,164,162,442,223,167,163,251,168,166,158,244,180,202,243,247,181,200,173,185,170,186,194,237,220,196,198,187,188,197,175,201,195,191,178,190,174,238,259,233,224,236,159,193,189,248,206])).
% 82.72/82.58 cnf(9816,plain,
% 82.72/82.58 (P1(x98161,x98162,x98161)),
% 82.72/82.58 inference(rename_variables,[],[9434])).
% 82.72/82.58 cnf(9818,plain,
% 82.72/82.58 (P1(f27(a2,a2,a2,a17,a2,a17),a17,a2)),
% 82.72/82.58 inference(scs_inference,[],[142,9420,9755,9786,9790,9440,9726,9789,9793,9531,9766,9808,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9723,9752,9775,9799,9816,9021,9377,9528,9592,9383,8352,9574,9442,7951,9054,9068,9244,9430,9460,9462,9522,9537,8459,9549,8921,8000,8557,9515,9647,9650,9653,5896,9470,7833,9541,9436,9485,9559,9479,9450,9520,9518,9552,8252,8169,8929,9147,9195,7877,7535,9246,8250,7226,4831,4910,7672,5972,5650,7777,6653,5860,9733,9736,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153,164,162,442,223,167,163,251,168,166,158,244,180,202,243,247,181,200,173,185,170,186,194,237,220,196,198,187,188,197,175,201,195,191,178,190,174,238,259,233,224,236,159,193,189,248,206,205])).
% 82.72/82.58 cnf(9819,plain,
% 82.72/82.58 (P1(x98191,x98192,x98191)),
% 82.72/82.58 inference(rename_variables,[],[9434])).
% 82.72/82.58 cnf(9821,plain,
% 82.72/82.58 (P3(f20(x98211,x98212),x98211,x98212)),
% 82.72/82.58 inference(scs_inference,[],[142,9420,9755,9786,9790,9440,9726,9789,9793,9531,9766,9808,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9723,9752,9775,9799,9816,9819,9021,9377,9528,9592,9383,8352,9574,9442,7951,9054,9068,9244,9430,9460,9462,9522,9537,8459,9549,8921,8000,8557,9515,9647,9650,9653,5896,7567,9470,7833,9541,9436,9485,9559,9479,9450,9520,9518,9552,8252,8169,8929,9147,9195,7877,7535,9246,8250,7226,7385,4831,7319,4910,7672,5972,5650,7777,6653,5860,9733,9736,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153,164,162,442,223,167,163,251,168,166,158,244,180,202,243,247,181,200,173,185,170,186,194,237,220,196,198,187,188,197,175,201,195,191,178,190,174,238,259,233,224,236,159,193,189,248,206,205,156])).
% 82.72/82.58 cnf(9823,plain,
% 82.72/82.58 (P1(x98231,x98232,x98231)),
% 82.72/82.58 inference(rename_variables,[],[9434])).
% 82.72/82.58 cnf(9827,plain,
% 82.72/82.58 (P1(x98271,x98272,x98271)),
% 82.72/82.58 inference(rename_variables,[],[9434])).
% 82.72/82.58 cnf(9833,plain,
% 82.72/82.58 (P8(a2,a3,a2,a16,a3,a3,a3,a3)),
% 82.72/82.58 inference(scs_inference,[],[142,9420,9755,9786,9790,9440,9726,9789,9793,9531,9766,9808,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9723,9752,9775,9799,9816,9819,9823,9827,9021,9377,9528,9592,9383,8352,9574,9442,9464,7951,9054,9068,9244,9430,9460,9462,9522,9537,8459,9549,8921,8000,8557,9515,9647,9650,9653,5896,7567,9470,7833,9541,9436,9485,9559,9479,9450,9520,9518,9552,8252,8169,9262,8477,8929,9147,9195,7877,7535,9246,8250,7226,7385,4831,7319,4910,7672,5972,5650,7777,6653,5860,9733,9736,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153,164,162,442,223,167,163,251,168,166,158,244,180,202,243,247,181,200,173,185,170,186,194,237,220,196,198,187,188,197,175,201,195,191,178,190,174,238,259,233,224,236,159,193,189,248,206,205,156,204,4805,5796])).
% 82.72/82.58 cnf(9851,plain,
% 82.72/82.58 (P1(a3,a2,a1)),
% 82.72/82.58 inference(scs_inference,[],[142,9420,9755,9786,9790,9440,9726,9789,9793,9798,9531,9766,9808,9434,9612,9615,9618,9621,9624,9627,9630,9633,9636,9639,9644,9723,9752,9775,9799,9816,9819,9823,9827,9021,9377,9528,9592,9383,8352,9574,9442,9464,7951,9054,9068,9244,9430,9460,9462,9522,9537,8459,9549,8921,8000,8557,9515,9647,9650,9653,5896,7567,9470,7833,9541,9436,9485,9559,9479,9450,9520,9518,9552,8252,8169,9262,8477,8929,9147,9195,7877,7535,9246,8250,7226,7385,4831,7319,4910,7672,5972,5650,7777,6653,5860,9733,9736,4342,789,805,4334,801,3053,4338,1609,3038,1347,588,797,586,1590,4061,4251,4331,4327,1340,150,781,149,256,222,1583,160,254,161,255,1601,151,221,165,148,252,250,253,249,153,164,162,442,223,167,163,251,168,166,158,244,180,202,243,247,181,200,173,185,170,186,194,237,220,196,198,187,188,197,175,201,195,191,178,190,174,238,259,233,224,236,159,193,189,248,206,205,156,204,4805,5796,1252,1238,1343,350,4634,1606,785,157])).
% 82.72/82.58 cnf(9869,plain,
% 82.72/82.58 (P1(x98691,x98691,x98692)),
% 82.72/82.58 inference(rename_variables,[],[9668])).
% 82.72/82.58 cnf(9871,plain,
% 82.72/82.58 (P7(a3,a3,a3,a19,a3,a3,a3,a19)),
% 82.72/82.58 inference(scs_inference,[],[9668,9869,789,4334])).
% 82.72/82.58 cnf(9872,plain,
% 82.72/82.58 (P1(x98721,x98721,x98722)),
% 82.72/82.58 inference(rename_variables,[],[9668])).
% 82.72/82.58 cnf(9875,plain,
% 82.72/82.58 (P1(x98751,x98751,x98752)),
% 82.72/82.58 inference(rename_variables,[],[9668])).
% 82.72/82.58 cnf(9878,plain,
% 82.72/82.58 (P1(x98781,x98781,x98782)),
% 82.72/82.58 inference(rename_variables,[],[9668])).
% 82.72/82.58 cnf(9881,plain,
% 82.72/82.58 (P1(x98811,x98811,x98812)),
% 82.72/82.58 inference(rename_variables,[],[9668])).
% 82.72/82.58 cnf(9884,plain,
% 82.72/82.58 (P1(x98841,x98841,x98842)),
% 82.72/82.58 inference(rename_variables,[],[9668])).
% 82.72/82.58 cnf(9886,plain,
% 82.72/82.58 (P7(a19,a19,a19,a2,a19,a19,a19,a2)),
% 82.72/82.58 inference(scs_inference,[],[9668,9869,9872,9875,9878,9881,9884,789,4334,4342,801,3038,1347,805])).
% 82.72/82.58 cnf(9887,plain,
% 82.72/82.58 (P1(x98871,x98871,x98872)),
% 82.72/82.58 inference(rename_variables,[],[9668])).
% 82.72/82.58 cnf(9890,plain,
% 82.72/82.58 (P1(x98901,x98901,x98902)),
% 82.72/82.58 inference(rename_variables,[],[9668])).
% 82.72/82.58 cnf(9893,plain,
% 82.72/82.58 (P1(x98931,x98931,x98932)),
% 82.72/82.58 inference(rename_variables,[],[9668])).
% 82.72/82.58 cnf(9896,plain,
% 82.72/82.58 (P1(x98961,x98961,x98962)),
% 82.72/82.58 inference(rename_variables,[],[9668])).
% 82.72/82.58 cnf(9898,plain,
% 82.72/82.58 (P7(a2,a3,a3,a16,a2,a3,a3,a16)),
% 82.72/82.58 inference(scs_inference,[],[9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9692,789,4334,4342,801,3038,1347,805,3053,1609,4338,797])).
% 82.72/82.58 cnf(9901,plain,
% 82.72/82.58 (P1(x99011,x99011,x99012)),
% 82.72/82.58 inference(rename_variables,[],[9668])).
% 82.72/82.58 cnf(9903,plain,
% 82.72/82.58 (P10(a1,a3,a17,a17)),
% 82.72/82.58 inference(scs_inference,[],[9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,9692,9706,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061])).
% 82.72/82.58 cnf(9908,plain,
% 82.72/82.58 (P1(f13(a16,a3,a2,x99081,a3),x99081,a3)),
% 82.72/82.58 inference(rename_variables,[],[9751])).
% 82.72/82.58 cnf(9915,plain,
% 82.72/82.58 (P1(f20(x99151,x99152),x99151,x99152)),
% 82.72/82.58 inference(scs_inference,[],[9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,9692,9706,9821,9483,9751,9908,9818,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061,4331,1606,785,1340,150])).
% 82.72/82.58 cnf(9917,plain,
% 82.72/82.58 (P1(a3,a1,a2)),
% 82.72/82.58 inference(scs_inference,[],[9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,9692,9706,9851,9821,9483,9751,9908,9818,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061,4331,1606,785,1340,150,149])).
% 82.72/82.58 cnf(9921,plain,
% 82.72/82.58 (P7(a16,a3,a16,a3,a3,a2,a3,a2)),
% 82.72/82.58 inference(scs_inference,[],[9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,8915,9692,9706,9851,9821,9483,9751,9908,9818,9735,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061,4331,1606,785,1340,150,149,781,256])).
% 82.72/82.58 cnf(9925,plain,
% 82.72/82.58 (P10(a16,a2,a19,a19)),
% 82.72/82.58 inference(scs_inference,[],[9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,8915,9566,9692,9706,9851,9821,9483,9730,9751,9908,9818,9735,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061,4331,1606,785,1340,150,149,781,256,1583,160])).
% 82.72/82.58 cnf(9927,plain,
% 82.72/82.58 (P10(a17,a3,a1,a3)),
% 82.72/82.58 inference(scs_inference,[],[9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,8915,9566,9230,9692,9706,9851,9821,9483,9730,9751,9908,9818,9735,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061,4331,1606,785,1340,150,149,781,256,1583,160,161])).
% 82.72/82.58 cnf(9929,plain,
% 82.72/82.58 (P8(a19,a19,x99291,x99292,a16,a2,x99291,x99292)),
% 82.72/82.58 inference(scs_inference,[],[9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,8915,9566,9230,9692,9706,9851,9821,9483,9730,9751,9908,9818,9735,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061,4331,1606,785,1340,150,149,781,256,1583,160,161,222])).
% 82.72/82.58 cnf(9935,plain,
% 82.72/82.58 (P8(a2,a2,a2,f15(a2,a3,a3,a2),f15(a2,a3,a3,a2),a2,f15(a2,a3,a3,a2),f15(a2,a3,a3,a2))),
% 82.72/82.58 inference(scs_inference,[],[9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,8915,9566,9230,9692,9706,9851,9821,9483,9730,9751,9908,9712,9818,9735,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061,4331,1606,785,1340,150,149,781,256,1583,160,161,222,254,255,221])).
% 82.72/82.58 cnf(9939,plain,
% 82.72/82.58 (P8(a2,a2,a2,a17,x99391,x99392,x99391,x99392)),
% 82.72/82.58 inference(scs_inference,[],[9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,8915,9566,9672,9230,9692,9706,9851,9821,9483,9730,9751,9908,9712,9818,9735,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061,4331,1606,785,1340,150,149,781,256,1583,160,161,222,254,255,221,1601,252])).
% 82.72/82.58 cnf(9941,plain,
% 82.72/82.58 (P5(a19,a2,a19,a3)),
% 82.72/82.58 inference(scs_inference,[],[9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,8915,9566,9672,9230,9692,9704,9706,9851,9821,9483,9730,9751,9908,9712,9818,9735,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061,4331,1606,785,1340,150,149,781,256,1583,160,161,222,254,255,221,1601,252,165])).
% 82.72/82.58 cnf(9943,plain,
% 82.72/82.58 (P3(f20(x99431,x99432),x99432,x99431)),
% 82.72/82.58 inference(scs_inference,[],[9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,8915,9566,9672,9230,9692,9704,9706,9851,9821,9483,9730,9751,9908,9712,9818,9735,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061,4331,1606,785,1340,150,149,781,256,1583,160,161,222,254,255,221,1601,252,165,151])).
% 82.72/82.58 cnf(9945,plain,
% 82.72/82.58 (P1(a2,a3,a1)),
% 82.72/82.58 inference(scs_inference,[],[9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,8915,9566,9672,9230,9692,9704,9706,9851,9821,9483,9730,9751,9908,9712,9818,9735,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061,4331,1606,785,1340,150,149,781,256,1583,160,161,222,254,255,221,1601,252,165,151,148])).
% 82.72/82.58 cnf(9947,plain,
% 82.72/82.58 (P8(x99471,x99472,a2,a2,x99471,x99472,a2,a17)),
% 82.72/82.58 inference(scs_inference,[],[9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,8915,9566,9672,9230,9692,9704,9706,9851,9821,9483,9730,9751,9908,9712,9818,9735,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061,4331,1606,785,1340,150,149,781,256,1583,160,161,222,254,255,221,1601,252,165,151,148,250])).
% 82.72/82.58 cnf(9953,plain,
% 82.72/82.58 (P5(a18,a2,a18,a2)),
% 82.72/82.58 inference(scs_inference,[],[9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,8915,9566,9801,9672,8117,9230,9692,9704,9706,9851,9821,9483,9730,9751,9908,9712,9818,9735,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061,4331,1606,785,1340,150,149,781,256,1583,160,161,222,254,255,221,1601,252,165,151,148,250,249,253,153])).
% 82.72/82.58 cnf(9957,plain,
% 82.72/82.58 (P5(a19,a3,a2,a19)),
% 82.72/82.58 inference(scs_inference,[],[9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,9570,8915,9566,9801,9672,8117,9230,9428,9692,9704,9706,9851,9821,9483,9730,9751,9908,9712,9818,9735,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061,4331,1606,785,1340,150,149,781,256,1583,160,161,222,254,255,221,1601,252,165,151,148,250,249,253,153,162,164])).
% 82.72/82.58 cnf(9959,plain,
% 82.72/82.58 (P4(x99591,x99591,x99592,x99591)),
% 82.72/82.58 inference(scs_inference,[],[9720,9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,9570,8915,9566,9801,9672,8117,9230,9428,9692,9704,9706,9851,9821,9483,9730,9751,9908,9712,9818,9735,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061,4331,1606,785,1340,150,149,781,256,1583,160,161,222,254,255,221,1601,252,165,151,148,250,249,253,153,162,164,167])).
% 82.72/82.58 cnf(9961,plain,
% 82.72/82.58 (P8(x99611,x99612,x99613,x99614,x99612,x99611,x99614,x99613)),
% 82.72/82.58 inference(scs_inference,[],[9696,9720,9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,9570,8915,9566,9801,9672,8117,9230,9428,9692,9704,9706,9851,9821,9483,9730,9751,9908,9712,9818,9735,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061,4331,1606,785,1340,150,149,781,256,1583,160,161,222,254,255,221,1601,252,165,151,148,250,249,253,153,162,164,167,251])).
% 82.72/82.58 cnf(9965,plain,
% 82.72/82.58 (P4(a16,a16,a2,a1)),
% 82.72/82.58 inference(scs_inference,[],[9696,9720,9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,9570,8915,9566,9801,9672,8117,9230,9428,9692,9704,9706,9792,9851,5668,9821,9483,9730,9751,9908,9712,9818,9735,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061,4331,1606,785,1340,150,149,781,256,1583,160,161,222,254,255,221,1601,252,165,151,148,250,249,253,153,162,164,167,251,163,168])).
% 82.72/82.58 cnf(9983,plain,
% 82.72/82.58 (P2(x99831,x99831,x99831,x99831)),
% 82.72/82.58 inference(scs_inference,[],[142,9810,9696,9720,9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,9570,8915,7415,7781,9566,9801,9672,8117,9230,9428,9692,9704,9706,9792,9851,5668,9821,9483,8376,9730,9804,9751,9908,9555,9712,9818,9735,9440,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061,4331,1606,785,1340,150,149,781,256,1583,160,161,222,254,255,221,1601,252,165,151,148,250,249,253,153,162,164,167,251,163,168,442,223,166,260,244,152,202,181])).
% 82.72/82.58 cnf(9986,plain,
% 82.72/82.58 (P8(x99861,x99862,x99862,x99861,x99863,x99864,x99863,x99864)),
% 82.72/82.58 inference(rename_variables,[],[9694])).
% 82.72/82.58 cnf(10001,plain,
% 82.72/82.58 (P5(x100011,x100011,x100011,x100011)),
% 82.72/82.58 inference(rename_variables,[],[9810])).
% 82.72/82.58 cnf(10004,plain,
% 82.72/82.58 (P5(x100041,x100041,x100041,x100041)),
% 82.72/82.58 inference(rename_variables,[],[9810])).
% 82.72/82.58 cnf(10007,plain,
% 82.72/82.58 (P9(x100071,x100072,x100072,x100071)),
% 82.72/82.58 inference(rename_variables,[],[5729])).
% 82.72/82.58 cnf(10009,plain,
% 82.72/82.58 (P10(a16,a2,a3,f4(a3,a3,a3))),
% 82.72/82.58 inference(scs_inference,[],[142,9810,10001,9694,9696,9720,9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,9570,8915,9714,7415,7781,9566,9801,9672,9716,8117,9230,9428,9692,9704,9706,9792,9851,5668,9821,9483,8376,9730,9804,9751,9908,9555,9712,9818,9735,7902,9440,5846,6658,6884,4999,5729,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061,4331,1606,785,1340,150,149,781,256,1583,160,161,222,254,255,221,1601,252,165,151,148,250,249,253,153,162,164,167,251,163,168,442,223,166,260,244,152,202,181,247,200,173,185,194,220,170,196,198,187,237])).
% 82.72/82.58 cnf(10013,plain,
% 82.72/82.58 (P9(x100131,x100132,x100132,x100131)),
% 82.72/82.58 inference(rename_variables,[],[5729])).
% 82.72/82.58 cnf(10018,plain,
% 82.72/82.58 (P9(x100181,x100182,x100182,x100181)),
% 82.72/82.58 inference(rename_variables,[],[5729])).
% 82.72/82.58 cnf(10020,plain,
% 82.72/82.58 (P2(f9(a3,a1,a3),a3,a1,a3)),
% 82.72/82.58 inference(scs_inference,[],[142,9810,10001,9694,9696,9720,9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,9570,8915,9714,7415,7781,9566,9801,9672,9716,8117,9230,9428,9692,9704,9706,9792,9797,9851,5668,9821,9483,8376,9730,9804,9751,9908,9555,9712,9818,9735,7902,9440,5846,6658,6884,4999,5729,10007,10013,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061,4331,1606,785,1340,150,149,781,256,1583,160,161,222,254,255,221,1601,252,165,151,148,250,249,253,153,162,164,167,251,163,168,442,223,166,260,244,152,202,181,247,200,173,185,194,220,170,196,198,187,237,186,201,175,188])).
% 82.72/82.58 cnf(10028,plain,
% 82.72/82.58 (P5(x100281,x100281,x100281,x100281)),
% 82.72/82.58 inference(rename_variables,[],[9810])).
% 82.72/82.58 cnf(10039,plain,
% 82.72/82.58 (P4(x100391,x100392,x100393,x100393)),
% 82.72/82.58 inference(scs_inference,[],[142,9810,10001,10004,9694,9696,9720,9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,9901,9570,8915,9714,7415,7781,9290,9566,9801,9672,9716,8117,8328,9230,9428,9692,9704,9706,9792,9797,9851,5668,9821,9483,8376,9730,9804,9751,9908,9555,9702,9712,9818,9735,7117,7902,9440,5846,9258,5044,4568,6658,5351,6884,4999,5729,10007,10013,10018,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061,4331,1606,785,1340,150,149,781,256,1583,160,161,222,254,255,221,1601,252,165,151,148,250,249,253,153,162,164,167,251,163,168,442,223,166,260,244,152,202,181,247,200,173,185,194,220,170,196,198,187,237,186,201,175,188,195,178,197,191,174,190,238,233])).
% 82.72/82.58 cnf(10044,plain,
% 82.72/82.58 (P3(a2,a2,a17)),
% 82.72/82.58 inference(scs_inference,[],[142,9810,10001,10004,9694,9696,9720,9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,9901,9570,8915,9714,7415,7781,9290,9566,9801,9672,9716,8117,8328,9230,9428,9692,9704,9706,9738,9792,9797,9851,5668,9821,9483,8376,9730,9804,9751,9908,9555,9702,9712,9818,9735,8431,7117,7902,9440,5846,9258,5044,4568,6658,5351,6884,4999,5729,10007,10013,10018,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061,4331,1606,785,1340,150,149,781,256,1583,160,161,222,254,255,221,1601,252,165,151,148,250,249,253,153,162,164,167,251,163,168,442,223,166,260,244,152,202,181,247,200,173,185,194,220,170,196,198,187,237,186,201,175,188,195,178,197,191,174,190,238,233,224,236])).
% 82.72/82.58 cnf(10045,plain,
% 82.72/82.58 (P1(x100451,x100451,x100452)),
% 82.72/82.58 inference(rename_variables,[],[9668])).
% 82.72/82.58 cnf(10047,plain,
% 82.72/82.58 (P3(a2,a2,a18)),
% 82.72/82.58 inference(scs_inference,[],[142,9810,10001,10004,9694,9696,9720,9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,9901,10045,9570,8915,9714,7415,7781,9290,9566,9801,9672,9716,8117,8328,9230,9428,9692,9704,9706,9738,9792,9797,9851,5668,9821,9483,8376,9730,9804,9751,9908,9555,9702,9712,9818,9735,8431,7117,7902,9440,5846,9262,9258,5044,4568,6658,5351,6884,4999,5729,10007,10013,10018,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061,4331,1606,785,1340,150,149,781,256,1583,160,161,222,254,255,221,1601,252,165,151,148,250,249,253,153,162,164,167,251,163,168,442,223,166,260,244,152,202,181,247,200,173,185,194,220,170,196,198,187,237,186,201,175,188,195,178,197,191,174,190,238,233,224,236,159])).
% 82.72/82.58 cnf(10048,plain,
% 82.72/82.58 (P1(x100481,x100481,x100482)),
% 82.72/82.58 inference(rename_variables,[],[9668])).
% 82.72/82.58 cnf(10051,plain,
% 82.72/82.58 (P4(a3,f26(a2,a3,a3,a3,a2),a3,f26(a2,a3,a3,a3,a2))),
% 82.72/82.58 inference(scs_inference,[],[142,9810,10001,10004,10028,9694,9696,9720,9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,9901,10045,9570,8915,9714,7415,7781,9290,9566,9801,9672,9716,8117,8328,9230,9428,9692,9704,9706,9738,9792,9797,9851,5668,9821,9483,8376,9730,9804,9751,9908,9555,9702,9712,9818,9735,8431,7117,7902,9440,5896,5846,9262,9258,5044,4568,6658,5351,6884,4999,5729,10007,10013,10018,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061,4331,1606,785,1340,150,149,781,256,1583,160,161,222,254,255,221,1601,252,165,151,148,250,249,253,153,162,164,167,251,163,168,442,223,166,260,244,152,202,181,247,200,173,185,194,220,170,196,198,187,237,186,201,175,188,195,178,197,191,174,190,238,233,224,236,159,193])).
% 82.72/82.58 cnf(10057,plain,
% 82.72/82.58 (P3(f7(a3,a3,a1),a3,a1)),
% 82.72/82.58 inference(scs_inference,[],[142,9810,10001,10004,10028,9694,9696,9720,9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,9901,10045,9570,8915,9714,7415,7781,9290,9566,9801,9672,9716,8117,8328,9230,9428,9692,9704,9706,9738,9792,9797,9851,5668,9821,9483,8376,9730,9804,9751,9908,9555,9702,9712,9818,9735,8431,7117,7902,9440,5896,5846,9262,8334,9258,5044,8340,4568,6658,5351,6884,4999,5729,10007,10013,10018,5860,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061,4331,1606,785,1340,150,149,781,256,1583,160,161,222,254,255,221,1601,252,165,151,148,250,249,253,153,162,164,167,251,163,168,442,223,166,260,244,152,202,181,247,200,173,185,194,220,170,196,198,187,237,186,201,175,188,195,178,197,191,174,190,238,233,224,236,159,193,189,183])).
% 82.72/82.58 cnf(10065,plain,
% 82.72/82.58 (P1(x100651,x100651,x100652)),
% 82.72/82.58 inference(rename_variables,[],[9668])).
% 82.72/82.58 cnf(10069,plain,
% 82.72/82.58 (P1(x100691,x100691,x100692)),
% 82.72/82.58 inference(rename_variables,[],[9668])).
% 82.72/82.58 cnf(10072,plain,
% 82.72/82.58 (P1(f27(a1,a2,a3,a3,a2,a16),a16,a2)),
% 82.72/82.58 inference(scs_inference,[],[142,9810,10001,10004,10028,9694,9986,9696,9720,9668,9869,9872,9875,9878,9881,9884,9887,9890,9893,9896,9901,10045,10048,10065,10069,9570,8915,9714,7415,7781,9290,9566,9801,9672,9716,8117,8328,9230,9428,9692,9704,9706,9738,9792,9797,9851,5668,9821,9483,8376,9730,9804,9751,9908,9555,9702,9712,9818,9735,7991,8431,7117,9250,7902,4835,9440,9434,6009,7649,5896,5846,9262,8334,9258,5044,8340,9149,4568,8895,6658,5351,6884,4999,5729,10007,10013,10018,5860,789,4334,4342,801,3038,1347,805,3053,1609,4338,797,1343,4061,4331,1606,785,1340,150,149,781,256,1583,160,161,222,254,255,221,1601,252,165,151,148,250,249,253,153,162,164,167,251,163,168,442,223,166,260,244,152,202,181,247,200,173,185,194,220,170,196,198,187,237,186,201,175,188,195,178,197,191,174,190,238,233,224,236,159,193,189,183,248,206,203,205])).
% 82.72/82.58 cnf(10093,plain,
% 82.72/82.58 (P1(a2,a16,f23(a16,a2,a18,a18))),
% 82.72/82.58 inference(scs_inference,[],[10039,7722])).
% 82.72/82.58 cnf(10095,plain,
% 82.72/82.58 (P4(x100951,x100952,x100953,x100953)),
% 82.72/82.58 inference(rename_variables,[],[10039])).
% 82.72/82.58 cnf(10097,plain,
% 82.72/82.58 (P4(x100971,x100972,x100973,x100973)),
% 82.72/82.58 inference(rename_variables,[],[10039])).
% 82.72/82.58 cnf(10099,plain,
% 82.72/82.58 (P1(f20(x100991,x100992),x100991,x100992)),
% 82.72/82.58 inference(rename_variables,[],[9915])).
% 82.72/82.58 cnf(10102,plain,
% 82.72/82.58 (P1(f20(x101021,x101022),x101021,x101022)),
% 82.72/82.58 inference(rename_variables,[],[9915])).
% 82.72/82.58 cnf(10105,plain,
% 82.72/82.58 (P1(f20(x101051,x101052),x101051,x101052)),
% 82.72/82.58 inference(rename_variables,[],[9915])).
% 82.72/82.58 cnf(10108,plain,
% 82.72/82.58 (P1(f20(x101081,x101082),x101081,x101082)),
% 82.72/82.58 inference(rename_variables,[],[9915])).
% 82.72/82.58 cnf(10111,plain,
% 82.72/82.58 (P1(f20(x101111,x101112),x101111,x101112)),
% 82.72/82.58 inference(rename_variables,[],[9915])).
% 82.72/82.58 cnf(10114,plain,
% 82.72/82.58 (P1(f20(x101141,x101142),x101141,x101142)),
% 82.72/82.58 inference(rename_variables,[],[9915])).
% 82.72/82.58 cnf(10117,plain,
% 82.72/82.58 (P1(f20(x101171,x101172),x101171,x101172)),
% 82.72/82.58 inference(rename_variables,[],[9915])).
% 82.72/82.58 cnf(10120,plain,
% 82.72/82.58 (P1(f20(x101201,x101202),x101201,x101202)),
% 82.72/82.58 inference(rename_variables,[],[9915])).
% 82.72/82.58 cnf(10123,plain,
% 82.72/82.58 (P1(f20(x101231,x101232),x101231,x101232)),
% 82.72/82.58 inference(rename_variables,[],[9915])).
% 82.72/82.58 cnf(10126,plain,
% 82.72/82.58 (P1(f20(x101261,x101262),x101261,x101262)),
% 82.72/82.58 inference(rename_variables,[],[9915])).
% 82.72/82.58 cnf(10131,plain,
% 82.72/82.58 (P1(f20(x101311,x101312),x101311,x101312)),
% 82.72/82.58 inference(rename_variables,[],[9915])).
% 82.72/82.58 cnf(10134,plain,
% 82.72/82.58 (P1(f20(x101341,x101342),x101341,x101342)),
% 82.72/82.58 inference(rename_variables,[],[9915])).
% 82.72/82.58 cnf(10137,plain,
% 82.72/82.58 (P1(f20(x101371,x101372),x101371,x101372)),
% 82.72/82.58 inference(rename_variables,[],[9915])).
% 82.72/82.58 cnf(10140,plain,
% 82.72/82.58 (P1(f20(x101401,x101402),x101401,x101402)),
% 82.72/82.58 inference(rename_variables,[],[9915])).
% 82.72/82.58 cnf(10142,plain,
% 82.72/82.58 (P1(f20(x101421,x101422),x101422,x101421)),
% 82.72/82.58 inference(scs_inference,[],[10039,10095,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,9943,9749,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150])).
% 82.72/82.58 cnf(10144,plain,
% 82.72/82.58 (P7(a16,a17,a16,a17,a17,a2,a17,a2)),
% 82.72/82.58 inference(scs_inference,[],[10039,10095,9385,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,9943,9749,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256])).
% 82.72/82.58 cnf(10149,plain,
% 82.72/82.58 (P1(a2,a1,a3)),
% 82.72/82.58 inference(scs_inference,[],[10039,10095,9385,9945,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,9749,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149])).
% 82.72/82.58 cnf(10153,plain,
% 82.72/82.58 (P10(a19,a19,a3,a2)),
% 82.72/82.58 inference(scs_inference,[],[10039,10095,9385,9321,9945,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,9655,9749,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161])).
% 82.72/82.58 cnf(10157,plain,
% 82.72/82.58 (P10(a17,a17,a1,a3)),
% 82.72/82.58 inference(scs_inference,[],[10039,10095,9385,9903,9321,9945,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,9655,9749,10051,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161,221,160])).
% 82.72/82.58 cnf(10161,plain,
% 82.72/82.58 (P8(a1,a3,x101611,x101612,a17,a17,x101611,x101612)),
% 82.72/82.58 inference(scs_inference,[],[10039,10095,9385,9903,9321,9945,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,9655,9749,10051,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161,221,160,254,222])).
% 82.72/82.58 cnf(10165,plain,
% 82.72/82.58 (P9(f8(x101651,x101651,x101651,x101651),x101651,x101651,x101651)),
% 82.72/82.58 inference(scs_inference,[],[9983,10039,10095,9385,9903,9321,9945,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,9655,9749,10051,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161,221,160,254,222,255,184])).
% 82.72/82.58 cnf(10169,plain,
% 82.72/82.58 (P5(a18,a2,a2,a18)),
% 82.72/82.58 inference(scs_inference,[],[9983,10039,10095,9385,9903,9321,9945,9953,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,9655,9749,10051,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161,221,160,254,222,255,184,1601,165])).
% 82.72/82.58 cnf(10171,plain,
% 82.72/82.58 (P1(a1,a3,a2)),
% 82.72/82.58 inference(scs_inference,[],[9983,10039,10095,9385,9903,9321,9917,9945,9953,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,9655,9749,10051,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161,221,160,254,222,255,184,1601,165,148])).
% 82.72/82.58 cnf(10173,plain,
% 82.72/82.58 (P8(x101731,x101732,x101732,x101731,x101733,x101734,x101734,x101733)),
% 82.72/82.58 inference(scs_inference,[],[9983,9961,10039,10095,9385,9903,9321,9917,9945,9953,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,9655,9749,10051,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161,221,160,254,222,255,184,1601,165,148,252])).
% 82.72/82.58 cnf(10175,plain,
% 82.72/82.58 (P3(a2,a17,a2)),
% 82.72/82.58 inference(scs_inference,[],[9983,9961,10039,10095,9385,9903,9321,9917,9945,9953,10044,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,9655,9749,10051,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161,221,160,254,222,255,184,1601,165,148,252,151])).
% 82.72/82.58 cnf(10177,plain,
% 82.72/82.58 (P8(x101771,x101772,a19,a19,x101771,x101772,a16,a2)),
% 82.72/82.58 inference(scs_inference,[],[9983,9961,10039,10095,9385,9903,9929,9321,9917,9945,9953,10044,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,9655,9749,10051,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161,221,160,254,222,255,184,1601,165,148,252,151,250])).
% 82.72/82.58 cnf(10179,plain,
% 82.72/82.58 (P5(a2,a2,a2,a18)),
% 82.72/82.58 inference(scs_inference,[],[9983,9961,10039,10095,9385,9903,9929,9321,9917,9945,9953,10044,10047,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,9655,9749,10051,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161,221,160,254,222,255,184,1601,165,148,252,151,250,153])).
% 82.72/82.58 cnf(10187,plain,
% 82.72/82.58 (P4(x101871,x101871,x101871,x101872)),
% 82.72/82.58 inference(scs_inference,[],[9983,9959,9961,10039,10095,9586,9385,9903,9929,8133,9321,9917,9945,9953,10044,10047,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,9655,9749,10051,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161,221,160,254,222,255,184,1601,165,148,252,151,250,153,249,162,253,168])).
% 82.72/82.58 cnf(10189,plain,
% 82.72/82.58 (P5(a2,a16,a16,a17)),
% 82.72/82.58 inference(scs_inference,[],[9983,9959,9961,10039,10095,9586,9385,9903,9929,8133,9321,9690,9917,9945,9953,10044,10047,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,9655,9749,10051,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161,221,160,254,222,255,184,1601,165,148,252,151,250,153,249,162,253,168,164])).
% 82.72/82.58 cnf(10195,plain,
% 82.72/82.58 (P4(x101951,x101952,x101953,x101952)),
% 82.72/82.58 inference(scs_inference,[],[9983,9959,9961,10039,10095,10097,9586,9385,9903,9929,8133,9321,9690,9917,9941,9945,9953,10044,10047,6253,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,9655,9749,10051,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161,221,160,254,222,255,184,1601,165,148,252,151,250,153,249,162,253,168,164,163,223,167])).
% 82.72/82.58 cnf(10204,plain,
% 82.72/82.58 (P3(f20(x102041,x102042),x102042,x102041)),
% 82.72/82.58 inference(rename_variables,[],[9943])).
% 82.72/82.58 cnf(10207,plain,
% 82.72/82.58 (P1(f15(a2,a2,a17,a2),a17,a2)),
% 82.72/82.58 inference(scs_inference,[],[9983,9959,9961,10039,10095,10097,9586,9385,9903,9929,9947,8133,9321,9690,9917,9941,9945,9953,10044,10047,6253,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,9655,9749,10051,9440,358,9706,8463,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161,221,160,254,222,255,184,1601,165,148,252,151,250,153,249,162,253,168,164,163,223,167,251,442,166,171,111,244])).
% 82.72/82.58 cnf(10208,plain,
% 82.72/82.58 (P8(x102081,x102082,x102081,x102082,x102083,x102084,x102083,x102084)),
% 82.72/82.58 inference(rename_variables,[],[9440])).
% 82.72/82.58 cnf(10212,plain,
% 82.72/82.58 (P1(f22(a2,a2,a18,a2),a18,a2)),
% 82.72/82.58 inference(scs_inference,[],[9983,9959,9961,10039,10095,10097,9586,9385,9903,9929,9947,8133,9321,9690,9917,9941,9945,9953,10044,10047,6253,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,9655,9749,10051,9694,9440,358,9706,8463,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161,221,160,254,222,255,184,1601,165,148,252,151,250,153,249,162,253,168,164,163,223,167,251,442,166,171,111,244,202,246])).
% 82.72/82.58 cnf(10215,plain,
% 82.72/82.58 (P2(a19,a2,a3,a3)),
% 82.72/82.58 inference(scs_inference,[],[9983,9959,9961,10039,10095,10097,9586,9385,9903,9929,9947,8133,9321,9690,9917,9941,9945,9953,10044,10047,6253,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,9655,9749,10051,9694,9440,358,9706,8463,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161,221,160,254,222,255,184,1601,165,148,252,151,250,153,249,162,253,168,164,163,223,167,251,442,166,171,111,244,202,246,181])).
% 82.72/82.58 cnf(10222,plain,
% 82.72/82.58 (P9(x102221,x102222,x102222,x102221)),
% 82.72/82.58 inference(rename_variables,[],[5729])).
% 82.72/82.58 cnf(10224,plain,
% 82.72/82.58 (P3(f24(a2,a17,a2,a17,a2,a2),a2,a17)),
% 82.72/82.58 inference(scs_inference,[],[9983,9959,9961,10039,10095,10097,9586,9385,9903,9929,9939,9947,8133,9321,9690,9917,9941,9945,9953,10044,10047,6253,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,9655,9749,10051,9694,9440,358,9706,8463,5729,5860,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161,221,160,254,222,255,184,1601,165,148,252,151,250,153,249,162,253,168,164,163,223,167,251,442,166,171,111,244,202,246,181,247,173,200])).
% 82.72/82.58 cnf(10227,plain,
% 82.72/82.58 (P9(x102271,x102272,x102272,x102271)),
% 82.72/82.58 inference(rename_variables,[],[5729])).
% 82.72/82.58 cnf(10234,plain,
% 82.72/82.58 (P9(x102341,x102342,x102342,x102341)),
% 82.72/82.58 inference(rename_variables,[],[5729])).
% 82.72/82.58 cnf(10239,plain,
% 82.72/82.58 (P9(x102391,x102392,x102392,x102391)),
% 82.72/82.58 inference(rename_variables,[],[5729])).
% 82.72/82.58 cnf(10242,plain,
% 82.72/82.58 (P8(x102421,x102422,x102423,x102424,x102422,x102421,x102424,x102423)),
% 82.72/82.58 inference(rename_variables,[],[9961])).
% 82.72/82.58 cnf(10245,plain,
% 82.72/82.58 (P9(x102451,x102452,x102452,x102451)),
% 82.72/82.58 inference(rename_variables,[],[5729])).
% 82.72/82.58 cnf(10250,plain,
% 82.72/82.58 (P9(x102501,x102502,x102502,x102501)),
% 82.72/82.58 inference(rename_variables,[],[5729])).
% 82.72/82.58 cnf(10252,plain,
% 82.72/82.58 (P1(f6(a2,a3,a17),a17,a2)),
% 82.72/82.58 inference(scs_inference,[],[9983,9959,9961,10039,10095,10097,9586,9385,9903,9929,9939,9947,8133,9232,9321,9690,9917,9941,9945,9953,10044,10047,6253,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,9655,9749,10051,9222,8766,7331,9694,9440,358,9706,6848,8463,5729,10222,10227,10234,10239,10245,5860,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161,221,160,254,222,255,184,1601,165,148,252,151,250,153,249,162,253,168,164,163,223,167,251,442,166,171,111,244,202,246,181,247,173,200,185,194,170,198,220,187,237,196,201,186,175])).
% 82.72/82.58 cnf(10256,plain,
% 82.72/82.58 (P2(f9(x102561,x102561,x102562),x102561,x102561,x102562)),
% 82.72/82.58 inference(scs_inference,[],[9983,9959,9961,10039,10095,10097,9586,9385,9903,9929,9939,9947,8133,9232,9321,9690,9917,9941,9945,9953,10044,10047,6253,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,9655,9749,10051,9222,8766,7601,7331,9694,9440,358,9706,6848,6154,8463,5729,10222,10227,10234,10239,10245,10250,5860,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161,221,160,254,222,255,184,1601,165,148,252,151,250,153,249,162,253,168,164,163,223,167,251,442,166,171,111,244,202,246,181,247,173,200,185,194,170,198,220,187,237,196,201,186,175,191,188])).
% 82.72/82.58 cnf(10257,plain,
% 82.72/82.58 (P9(x102571,x102572,x102572,x102571)),
% 82.72/82.58 inference(rename_variables,[],[5729])).
% 82.72/82.58 cnf(10264,plain,
% 82.72/82.58 (P9(x102641,x102642,x102642,x102641)),
% 82.72/82.58 inference(rename_variables,[],[5729])).
% 82.72/82.58 cnf(10272,plain,
% 82.72/82.58 (P8(x102721,x102722,x102723,x102724,x102722,x102721,x102724,x102723)),
% 82.72/82.58 inference(rename_variables,[],[9961])).
% 82.72/82.58 cnf(10274,plain,
% 82.72/82.58 (P4(a2,a2,a3,a1)),
% 82.72/82.58 inference(scs_inference,[],[9983,9959,9961,10242,10039,10095,10097,9586,9385,9903,9929,9939,9947,8133,9232,9321,9690,9917,9941,9945,9953,10044,10047,6253,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,5468,9655,9749,9747,10051,9222,8766,7601,7331,5413,9694,9440,10208,5036,358,9706,6848,6154,8463,5729,10222,10227,10234,10239,10245,10250,10257,10264,5860,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161,221,160,254,222,255,184,1601,165,148,252,151,250,153,249,162,253,168,164,163,223,167,251,442,166,171,111,244,202,246,181,247,173,200,185,194,170,198,220,187,237,196,201,186,175,191,188,178,174,195,197,190,238,233])).
% 82.72/82.58 cnf(10278,plain,
% 82.72/82.58 (P2(x102781,x102781,x102781,x102781)),
% 82.72/82.58 inference(rename_variables,[],[9983])).
% 82.72/82.58 cnf(10279,plain,
% 82.72/82.58 (P3(f20(x102791,x102792),x102792,x102791)),
% 82.72/82.58 inference(rename_variables,[],[9943])).
% 82.72/82.58 cnf(10281,plain,
% 82.72/82.58 (P3(x102811,x102811,x102811)),
% 82.72/82.58 inference(scs_inference,[],[9983,10278,9959,9961,10242,10272,10039,10095,10097,9586,9385,9903,9929,9939,9947,8133,9232,9321,9690,9917,9941,9945,9953,10044,10047,6253,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,10204,5468,9655,9749,9747,10051,9222,8766,7601,7331,5413,9694,9668,9440,10208,5036,358,9706,6848,6154,8463,5729,10222,10227,10234,10239,10245,10250,10257,10264,5860,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161,221,160,254,222,255,184,1601,165,148,252,151,250,153,249,162,253,168,164,163,223,167,251,442,166,171,111,244,202,246,181,247,173,200,185,194,170,198,220,187,237,196,201,186,175,191,188,178,174,195,197,190,238,233,224,236])).
% 82.72/82.58 cnf(10282,plain,
% 82.72/82.58 (P1(x102821,x102821,x102822)),
% 82.72/82.58 inference(rename_variables,[],[9668])).
% 82.72/82.58 cnf(10286,plain,
% 82.72/82.58 (P9(a2,a18,a18,a18)),
% 82.72/82.58 inference(scs_inference,[],[9983,10278,9959,9961,10242,10272,10039,10095,10097,9586,9385,9903,9929,9939,9947,8133,9232,9321,9690,9917,9941,9945,9953,10044,10047,6253,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,10204,5468,9655,9749,9747,10051,9222,8766,7601,7331,5413,9694,9668,9440,10208,5036,358,9810,9706,6848,6154,8463,5729,10222,10227,10234,10239,10245,10250,10257,10264,5860,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161,221,160,254,222,255,184,1601,165,148,252,151,250,153,249,162,253,168,164,163,223,167,251,442,166,171,111,244,202,246,181,247,173,200,185,194,170,198,220,187,237,196,201,186,175,191,188,178,174,195,197,190,238,233,224,236,192])).
% 82.72/82.58 cnf(10288,plain,
% 82.72/82.58 (P4(x102881,x102881,x102882,x102881)),
% 82.72/82.58 inference(rename_variables,[],[9959])).
% 82.72/82.58 cnf(10290,plain,
% 82.72/82.58 (P3(a16,a16,f7(a16,a2,a16))),
% 82.72/82.58 inference(scs_inference,[],[9983,10278,9959,9961,10242,10272,10039,10095,10097,9586,9385,9903,9929,9939,9947,8133,9232,9321,9690,9917,9941,9945,9953,10044,10047,6253,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,10204,5468,9655,9749,9747,10051,9222,9364,8766,7601,7331,5413,9694,9668,10282,9440,10208,5036,358,9810,9262,9706,6848,6154,8463,5729,10222,10227,10234,10239,10245,10250,10257,10264,5860,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161,221,160,254,222,255,184,1601,165,148,252,151,250,153,249,162,253,168,164,163,223,167,251,442,166,171,111,244,202,246,181,247,173,200,185,194,170,198,220,187,237,196,201,186,175,191,188,178,174,195,197,190,238,233,224,236,192,159])).
% 82.72/82.58 cnf(10292,plain,
% 82.72/82.58 (P1(x102921,x102921,x102922)),
% 82.72/82.58 inference(rename_variables,[],[9668])).
% 82.72/82.58 cnf(10295,plain,
% 82.72/82.58 (P3(f20(x102951,x102952),x102952,x102951)),
% 82.72/82.58 inference(rename_variables,[],[9943])).
% 82.72/82.58 cnf(10299,plain,
% 82.72/82.58 (P3(f20(x102991,x102992),x102992,x102991)),
% 82.72/82.58 inference(rename_variables,[],[9943])).
% 82.72/82.58 cnf(10307,plain,
% 82.72/82.58 (P1(x103071,x103071,x103072)),
% 82.72/82.58 inference(rename_variables,[],[9668])).
% 82.72/82.58 cnf(10310,plain,
% 82.72/82.58 (P1(x103101,x103101,x103102)),
% 82.72/82.58 inference(rename_variables,[],[9668])).
% 82.72/82.58 cnf(10312,plain,
% 82.72/82.58 (P1(f14(a3,a1,a16,a2,a3,a2),a16,a2)),
% 82.72/82.58 inference(scs_inference,[],[9983,10278,9959,10288,9961,10242,10272,10039,10095,10097,9586,9385,9903,9929,9939,9947,8133,9232,9321,9690,9917,9941,9945,9953,9965,10044,10047,6253,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,10204,10279,10295,5468,9655,9749,9747,10051,9222,9268,9364,8766,9788,7601,7331,5413,9694,9668,10282,10292,10307,10310,9440,10208,7155,8676,5036,358,9810,9262,7216,7277,8125,6049,6330,9706,6185,6187,6848,6154,8463,5729,10222,10227,10234,10239,10245,10250,10257,10264,5860,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161,221,160,254,222,255,184,1601,165,148,252,151,250,153,249,162,253,168,164,163,223,167,251,442,166,171,111,244,202,246,181,247,173,200,185,194,170,198,220,187,237,196,201,186,175,191,188,178,174,195,197,190,238,233,224,236,192,159,189,183,248,206,203,205,204])).
% 82.72/82.58 cnf(10316,plain,
% 82.72/82.58 (P10(a3,a3,a1,a3)),
% 82.72/82.58 inference(scs_inference,[],[9983,10278,9959,10288,9961,10242,10272,10039,10095,10097,9586,9385,9903,9929,9939,9947,8133,9232,9321,9690,9917,9941,9945,9953,9965,10044,10047,6253,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,10204,10279,10295,5468,9655,9749,9747,10051,9222,9268,9364,8766,9788,7601,7331,5413,9694,9668,10282,10292,10307,10310,9440,10208,7155,8676,5036,358,9810,9262,7216,7277,8125,6049,6330,9706,6185,6187,6848,6154,8463,5729,10222,10227,10234,10239,10245,10250,10257,10264,5860,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161,221,160,254,222,255,184,1601,165,148,252,151,250,153,249,162,253,168,164,163,223,167,251,442,166,171,111,244,202,246,181,247,173,200,185,194,170,198,220,187,237,196,201,186,175,191,188,178,174,195,197,190,238,233,224,236,192,159,189,183,248,206,203,205,204,2,3513])).
% 82.72/82.58 cnf(10328,plain,
% 82.72/82.58 (P10(a2,a18,a17,a17)),
% 82.72/82.58 inference(scs_inference,[],[9983,10278,9959,10288,9961,10242,10272,10039,10095,10097,9586,9385,9903,9929,9939,9947,8133,9232,9321,9690,9917,9941,9945,9953,9965,10044,10047,6253,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,10204,10279,10295,5468,9655,9749,9747,10051,9222,9268,9364,8766,9788,7601,7331,5413,9694,9668,10282,10292,10307,10310,9440,10208,7155,8676,5036,358,9810,9262,7216,7277,8125,6049,6330,9706,6185,6187,6848,6154,8463,5729,10222,10227,10234,10239,10245,10250,10257,10264,5860,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161,221,160,254,222,255,184,1601,165,148,252,151,250,153,249,162,253,168,164,163,223,167,251,442,166,171,111,244,202,246,181,247,173,200,185,194,170,198,220,187,237,196,201,186,175,191,188,178,174,195,197,190,238,233,224,236,192,159,189,183,248,206,203,205,204,2,3513,621,1298,526,4701,4083,4251])).
% 82.72/82.58 cnf(10334,plain,
% 82.72/82.58 (P10(f20(x103341,a2),a2,x103341,a17)),
% 82.72/82.58 inference(scs_inference,[],[9983,10278,9959,10288,9961,10242,10272,10039,10095,10097,9586,9385,9903,9929,9939,9947,8133,9232,9321,9690,9917,9941,9945,9953,9965,10044,10047,6253,9915,10099,10102,10105,10108,10111,10114,10117,10120,10123,10126,10131,10134,10137,10140,9943,10204,10279,10295,10299,5468,9655,9749,9747,9935,10051,9222,9268,9364,8766,9788,7601,7331,5413,9694,9668,10282,10292,10307,10310,9440,10208,7155,8676,5036,358,9810,9262,7216,7277,8125,6049,6330,9706,6185,6187,6848,6154,8463,5729,10222,10227,10234,10239,10245,10250,10257,10264,5860,9234,9599,801,789,4342,3038,1347,4338,805,1609,3053,1343,4061,4331,1606,1340,785,150,256,781,149,1583,161,221,160,254,222,255,184,1601,165,148,252,151,250,153,249,162,253,168,164,163,223,167,251,442,166,171,111,244,202,246,181,247,173,200,185,194,170,198,220,187,237,196,201,186,175,191,188,178,174,195,197,190,238,233,224,236,192,159,189,183,248,206,203,205,204,2,3513,621,1298,526,4701,4083,4251,793,239,155])).
% 82.72/82.58 cnf(10341,plain,
% 82.72/82.58 (P4(x103411,x103412,x103413,x103413)),
% 82.72/82.58 inference(rename_variables,[],[10039])).
% 82.72/82.58 cnf(10342,plain,
% 82.72/82.58 (~E(a18,a1)),
% 82.72/82.58 inference(scs_inference,[],[10195,10039,7159,8633])).
% 82.72/82.58 cnf(10343,plain,
% 82.72/82.58 (P4(x103431,x103432,x103433,x103432)),
% 82.72/82.58 inference(rename_variables,[],[10195])).
% 82.72/82.58 cnf(10346,plain,
% 82.72/82.58 (P1(f20(x103461,x103462),x103462,x103461)),
% 82.72/82.58 inference(rename_variables,[],[10142])).
% 82.72/82.58 cnf(10351,plain,
% 82.72/82.58 (P1(f20(x103511,x103512),x103512,x103511)),
% 82.72/82.58 inference(rename_variables,[],[10142])).
% 82.72/82.58 cnf(10354,plain,
% 82.72/82.58 (P1(f13(a16,a3,a2,x103541,a3),x103541,a3)),
% 82.72/82.58 inference(rename_variables,[],[9751])).
% 82.72/82.58 cnf(10357,plain,
% 82.72/82.58 (P1(f20(x103571,x103572),x103572,x103571)),
% 82.72/82.58 inference(rename_variables,[],[10142])).
% 82.72/82.58 cnf(10360,plain,
% 82.72/82.58 (P1(f20(x103601,x103602),x103602,x103601)),
% 82.72/82.58 inference(rename_variables,[],[10142])).
% 82.72/82.58 cnf(10363,plain,
% 82.72/82.58 (P1(f20(x103631,x103632),x103632,x103631)),
% 82.72/82.58 inference(rename_variables,[],[10142])).
% 82.72/82.58 cnf(10369,plain,
% 82.72/82.58 (P1(f20(x103691,x103692),x103692,x103691)),
% 82.72/82.58 inference(rename_variables,[],[10142])).
% 82.72/82.58 cnf(10372,plain,
% 82.72/82.58 (P1(f20(x103721,x103722),x103722,x103721)),
% 82.72/82.58 inference(rename_variables,[],[10142])).
% 82.72/82.58 cnf(10375,plain,
% 82.72/82.58 (P9(f8(x103751,x103751,x103751,x103751),x103751,x103751,x103751)),
% 82.72/82.58 inference(rename_variables,[],[10165])).
% 82.72/82.58 cnf(10378,plain,
% 82.72/82.58 (P9(f8(x103781,x103781,x103781,x103781),x103781,x103781,x103781)),
% 82.72/82.58 inference(rename_variables,[],[10165])).
% 82.72/82.58 cnf(10382,plain,
% 82.72/82.58 (P10(f8(a18,a18,a18,a18),a18,a17,a17)),
% 82.72/82.58 inference(scs_inference,[],[10195,10165,10375,10378,10142,10346,10351,10357,10360,10363,10369,9763,10212,10039,9751,10354,7159,8633,2,4334,789,801,3038,4342,4338,1609,1347,3053,797,586,1590,4061,4251])).
% 82.72/82.58 cnf(10383,plain,
% 82.72/82.58 (P9(f8(x103831,x103831,x103831,x103831),x103831,x103831,x103831)),
% 82.72/82.58 inference(rename_variables,[],[10165])).
% 82.72/82.58 cnf(10386,plain,
% 82.72/82.58 (P1(f20(x103861,x103862),x103862,x103861)),
% 82.72/82.58 inference(rename_variables,[],[10142])).
% 82.72/82.58 cnf(10389,plain,
% 82.72/82.58 (P1(f20(x103891,x103892),x103892,x103891)),
% 82.72/82.58 inference(rename_variables,[],[10142])).
% 82.72/82.58 cnf(10397,plain,
% 82.72/82.58 (P1(f24(a2,a17,a2,a17,a2,a2),a2,a17)),
% 82.72/82.58 inference(scs_inference,[],[10195,9898,10165,10375,10378,10142,10346,10351,10357,10360,10363,10369,10372,10386,9763,9664,10207,10212,10224,10039,9751,10354,7159,8633,2,4334,789,801,3038,4342,4338,1609,1347,3053,797,586,1590,4061,4251,4331,4327,1340,785,256,150])).
% 82.72/82.58 cnf(10399,plain,
% 82.72/82.58 (P1(a1,a2,a3)),
% 82.72/82.58 inference(scs_inference,[],[10195,9898,10171,10165,10375,10378,10142,10346,10351,10357,10360,10363,10369,10372,10386,9763,9664,10207,10212,10224,10039,9751,10354,7159,8633,2,4334,789,801,3038,4342,4338,1609,1347,3053,797,586,1590,4061,4251,4331,4327,1340,785,256,150,149])).
% 82.72/82.58 cnf(10403,plain,
% 82.72/82.58 (P10(a3,a3,a3,a1)),
% 82.72/82.58 inference(scs_inference,[],[10195,9898,10316,10171,10328,10165,10375,10378,10142,10346,10351,10357,10360,10363,10369,10372,10386,9763,9664,10207,10212,10224,10039,9751,10354,7159,8633,2,4334,789,801,3038,4342,4338,1609,1347,3053,797,586,1590,4061,4251,4331,4327,1340,785,256,150,149,1583,161])).
% 82.72/82.58 cnf(10407,plain,
% 82.72/82.58 (P8(a3,a3,x104071,x104072,a1,a3,x104071,x104072)),
% 82.72/82.58 inference(scs_inference,[],[10195,9898,10316,10171,10328,10165,10375,10378,10142,10346,10351,10357,10360,10363,10369,10372,10386,9763,9562,9664,10207,10212,10224,10039,9751,10354,7159,8633,2,4334,789,801,3038,4342,4338,1609,1347,3053,797,586,1590,4061,4251,4331,4327,1340,785,256,150,149,1583,161,781,222])).
% 82.72/82.58 cnf(10415,plain,
% 82.72/82.58 (P8(x104151,x104152,x104151,x104153,x104153,x104152,x104153,x104153)),
% 82.72/82.58 inference(scs_inference,[],[10195,10343,9898,10316,9927,10171,10328,10165,10375,10378,10142,10346,10351,10357,10360,10363,10369,10372,10386,9763,9562,9664,10207,10212,10224,10039,9751,10354,7159,8633,2,4334,789,801,3038,4342,4338,1609,1347,3053,797,586,1590,4061,4251,4331,4327,1340,785,256,150,149,1583,161,781,222,160,254,255,221])).
% 82.72/82.58 cnf(10417,plain,
% 82.72/82.58 (P10(a2,a18,a16,a16)),
% 82.72/82.58 inference(scs_inference,[],[10195,10343,9898,10316,9927,10171,10328,10165,10375,10378,10142,10346,10351,10357,10360,10363,10369,10372,10386,9763,9562,9664,10207,10212,10224,10039,9751,10354,7159,8633,2,4334,789,801,3038,4342,4338,1609,1347,3053,797,586,1590,4061,4251,4331,4327,1340,785,256,150,149,1583,161,781,222,160,254,255,221,1601])).
% 82.72/82.58 cnf(10421,plain,
% 82.72/82.58 (P3(f24(a2,a17,a2,a17,a2,a2),a17,a2)),
% 82.72/82.58 inference(scs_inference,[],[10195,10343,9898,10316,9927,10171,10328,10093,10165,10375,10378,10142,10346,10351,10357,10360,10363,10369,10372,10386,9763,9562,9664,10207,10212,10224,10039,9751,10354,7159,8633,2,4334,789,801,3038,4342,4338,1609,1347,3053,797,586,1590,4061,4251,4331,4327,1340,785,256,150,149,1583,161,781,222,160,254,255,221,1601,148,151])).
% 82.72/82.58 cnf(10425,plain,
% 82.72/82.58 (P8(a1,a3,a17,a17,x104251,x104252,x104251,x104252)),
% 82.72/82.58 inference(scs_inference,[],[10195,10343,9898,10316,10161,9927,10171,10215,10328,10093,10165,10375,10378,10142,10346,10351,10357,10360,10363,10369,10372,10386,9763,9562,9664,10207,10212,10224,10039,9751,10354,7159,8633,2,4334,789,801,3038,4342,4338,1609,1347,3053,797,586,1590,4061,4251,4331,4327,1340,785,256,150,149,1583,161,781,222,160,254,255,221,1601,148,151,184,252])).
% 82.72/82.58 cnf(10427,plain,
% 82.72/82.58 (P5(a19,a3,a19,a2)),
% 82.72/82.58 inference(scs_inference,[],[10195,10343,9898,10316,10161,9927,9957,10171,10215,10328,10093,10165,10375,10378,10142,10346,10351,10357,10360,10363,10369,10372,10386,9763,9562,9664,10207,10212,10224,10039,9751,10354,7159,8633,2,4334,789,801,3038,4342,4338,1609,1347,3053,797,586,1590,4061,4251,4331,4327,1340,785,256,150,149,1583,161,781,222,160,254,255,221,1601,148,151,184,252,165])).
% 82.72/82.58 cnf(10433,plain,
% 82.72/82.58 (P5(a2,a17,a2,a2)),
% 82.72/82.58 inference(scs_inference,[],[10195,10343,9898,10316,10161,9927,9957,10171,10175,10215,10328,10093,10165,10375,10378,10142,10346,10351,10357,10360,10363,10369,10372,10386,9763,9562,9664,10207,10212,10224,10039,9751,10354,7159,8633,2,4334,789,801,3038,4342,4338,1609,1347,3053,797,586,1590,4061,4251,4331,4327,1340,785,256,150,149,1583,161,781,222,160,254,255,221,1601,148,151,184,252,165,250,249,153])).
% 82.72/82.58 cnf(10435,plain,
% 82.72/82.58 (P4(x104351,x104352,x104352,x104353)),
% 82.72/82.58 inference(scs_inference,[],[10195,10343,9898,10316,10161,9927,9957,10171,10175,10215,10328,10093,10165,10375,10378,10142,10346,10351,10357,10360,10363,10369,10372,10386,9763,9562,9664,10207,10212,10224,10039,9751,10354,7159,8633,2,4334,789,801,3038,4342,4338,1609,1347,3053,797,586,1590,4061,4251,4331,4327,1340,785,256,150,149,1583,161,781,222,160,254,255,221,1601,148,151,184,252,165,250,249,153,168])).
% 82.72/82.58 cnf(10439,plain,
% 82.72/82.58 (P8(a2,a2,a2,a18,a2,a18,a2,a18)),
% 82.72/82.58 inference(scs_inference,[],[10195,10343,9898,10316,10161,9927,9957,10171,10175,10179,10215,10328,10093,10165,10375,10378,10142,10346,10351,10357,10360,10363,10369,10372,10386,5221,9763,9562,9664,10207,10212,10224,10039,9751,10354,7159,8633,2,4334,789,801,3038,4342,4338,1609,1347,3053,797,586,1590,4061,4251,4331,4327,1340,785,256,150,149,1583,161,781,222,160,254,255,221,1601,148,151,184,252,165,250,249,153,168,163,223])).
% 82.72/82.58 cnf(10441,plain,
% 82.72/82.58 (P9(a3,a1,a19,a19)),
% 82.72/82.58 inference(scs_inference,[],[10195,10343,9641,9898,10316,10161,9927,9957,10171,10175,10179,10215,10328,10093,10165,10375,10378,10142,10346,10351,10357,10360,10363,10369,10372,10386,5221,9763,9562,9664,10207,10212,10224,10039,9751,10354,7159,8633,2,4334,789,801,3038,4342,4338,1609,1347,3053,797,586,1590,4061,4251,4331,4327,1340,785,256,150,149,1583,161,781,222,160,254,255,221,1601,148,151,184,252,165,250,249,153,168,163,223,162])).
% 82.72/82.58 cnf(10449,plain,
% 82.72/82.58 (P10(a2,a18,a2,a2)),
% 82.72/82.58 inference(scs_inference,[],[10195,10343,9641,9898,10316,10161,8306,9927,9957,10169,10171,10175,10179,10215,10274,10328,10093,10165,10375,10378,10142,10346,10351,10357,10360,10363,10369,10372,10386,5221,9763,9562,9664,10207,10212,10224,10039,9751,10354,7159,8633,2,4334,789,801,3038,4342,4338,1609,1347,3053,797,586,1590,4061,4251,4331,4327,1340,785,256,150,149,1583,161,781,222,160,254,255,221,1601,148,151,184,252,165,250,249,153,168,163,223,162,164,253,167,442])).
% 82.72/82.58 cnf(10453,plain,
% 82.72/82.58 (P4(x104531,x104532,x104533,x104531)),
% 82.72/82.58 inference(scs_inference,[],[10195,10343,9641,9898,10316,10161,8306,9927,9957,10169,10171,10175,10179,10215,10274,10328,10093,10165,10375,10378,10142,10346,10351,10357,10360,10363,10369,10372,10386,5221,9763,9562,9664,10207,10212,10224,10039,9751,10354,7159,8633,2,4334,789,801,3038,4342,4338,1609,1347,3053,797,586,1590,4061,4251,4331,4327,1340,785,256,150,149,1583,161,781,222,160,254,255,221,1601,148,151,184,252,165,250,249,153,168,163,223,162,164,253,167,442,251,166])).
% 82.72/82.58 cnf(10455,plain,
% 82.72/82.58 (P9(a16,a2,a3,a1)),
% 82.72/82.58 inference(scs_inference,[],[10195,10343,9641,9898,9925,10316,10161,8306,9927,9957,10169,10171,10175,10179,10215,10274,10328,10093,10165,10375,10378,10142,10346,10351,10357,10360,10363,10369,10372,10386,5221,9763,9562,9664,10207,10212,10224,10039,9751,10354,7159,8633,2,4334,789,801,3038,4342,4338,1609,1347,3053,797,586,1590,4061,4251,4331,4327,1340,785,256,150,149,1583,161,781,222,160,254,255,221,1601,148,151,184,252,165,250,249,153,168,163,223,162,164,253,167,442,251,166,179])).
% 82.72/82.58 cnf(10458,plain,
% 82.72/82.58 (P4(x104581,x104582,x104583,x104583)),
% 82.72/82.58 inference(rename_variables,[],[10039])).
% 82.72/82.58 cnf(10472,plain,
% 82.72/82.58 (P9(x104721,x104722,x104722,x104721)),
% 82.72/82.58 inference(rename_variables,[],[5729])).
% 82.72/82.58 cnf(10474,plain,
% 82.72/82.58 (P10(f24(x104741,x104741,x104741,x104741,x104741,x104741),x104741,x104741,x104741)),
% 82.72/82.58 inference(scs_inference,[],[10281,10195,10343,9641,9898,9925,10316,10161,8306,9927,9957,10153,10169,10171,10175,10179,10215,10274,10286,10328,10093,10165,10375,10378,10142,10346,10351,10357,10360,10363,10369,10372,10386,5221,9763,9562,9664,10207,10212,10224,10290,6997,10039,10341,10458,9751,10354,294,9440,5729,7159,8633,2,4334,789,801,3038,4342,4338,1609,1347,3053,797,586,1590,4061,4251,4331,4327,1340,785,256,150,149,1583,161,781,222,160,254,255,221,1601,148,151,184,252,165,250,249,153,168,163,223,162,164,253,167,442,251,166,179,112,154,227,244,176,243,226,202])).
% 82.72/82.58 cnf(10476,plain,
% 82.72/82.58 (P5(a16,a3,a16,a3)),
% 82.72/82.58 inference(scs_inference,[],[10281,10195,10343,9641,9898,9925,10316,10161,8306,9921,9927,9957,10153,10169,10171,10175,10179,10215,10274,10286,10328,10093,10165,10375,10378,10142,10346,10351,10357,10360,10363,10369,10372,10386,5221,9763,9562,9664,10207,10212,10224,10290,6997,10039,10341,10458,9751,10354,294,9440,5206,5729,7159,8633,2,4334,789,801,3038,4342,4338,1609,1347,3053,797,586,1590,4061,4251,4331,4327,1340,785,256,150,149,1583,161,781,222,160,254,255,221,1601,148,151,184,252,165,250,249,153,168,163,223,162,164,253,167,442,251,166,179,112,154,227,244,176,243,226,202,240])).
% 82.72/82.58 cnf(10480,plain,
% 82.72/82.58 (P2(a2,a2,a18,a18)),
% 82.72/82.58 inference(scs_inference,[],[10281,10195,10343,9641,9898,9925,10316,10161,8306,9921,9927,9957,10153,10169,10171,10175,10179,10215,10274,10286,10328,10093,10165,10375,10378,10142,10346,10351,10357,10360,10363,10369,10372,10386,5221,9763,9562,9664,10207,10212,10224,10290,6997,10039,10341,10458,9751,10354,294,9440,5206,5729,7159,8633,2,4334,789,801,3038,4342,4338,1609,1347,3053,797,586,1590,4061,4251,4331,4327,1340,785,256,150,149,1583,161,781,222,160,254,255,221,1601,148,151,184,252,165,250,249,153,168,163,223,162,164,253,167,442,251,166,179,112,154,227,244,176,243,226,202,240,246,181])).
% 82.72/82.58 cnf(10489,plain,
% 82.72/82.58 (P3(f24(x104891,x104891,x104891,x104891,x104891,x104891),x104891,x104891)),
% 82.72/82.58 inference(scs_inference,[],[10281,10195,10343,9641,9898,9925,10316,10161,8306,9921,9927,9957,10153,10169,10171,10175,10179,10215,10274,10286,10328,10093,10165,10375,10378,10142,10346,10351,10357,10360,10363,10369,10372,10386,5221,9763,9562,9664,10207,10212,10224,10290,6997,10039,10341,10458,9751,10354,9694,294,9440,5206,8463,5729,7159,8633,2,4334,789,801,3038,4342,4338,1609,1347,3053,797,586,1590,4061,4251,4331,4327,1340,785,256,150,149,1583,161,781,222,160,254,255,221,1601,148,151,184,252,165,250,249,153,168,163,223,162,164,253,167,442,251,166,179,112,154,227,244,176,243,226,202,240,246,181,173,247,242,200])).
% 82.72/82.58 cnf(10493,plain,
% 82.72/82.58 (P1(f13(a2,a18,a18,a18,x104931),a18,x104931)),
% 82.72/82.58 inference(scs_inference,[],[10281,10195,10343,9641,9898,9925,10316,10161,8306,9921,9927,9957,10153,10169,10171,10175,10179,10215,10274,10286,10328,10093,10165,10375,10378,10142,10346,10351,10357,10360,10363,10369,10372,10386,5221,9763,9562,9664,10207,10212,10224,10290,6997,10039,10341,10458,9751,10354,9694,9668,294,9440,5206,8463,5729,7159,8633,2,4334,789,801,3038,4342,4338,1609,1347,3053,797,586,1590,4061,4251,4331,4327,1340,785,256,150,149,1583,161,781,222,160,254,255,221,1601,148,151,184,252,165,250,249,153,168,163,223,162,164,253,167,442,251,166,179,112,154,227,244,176,243,226,202,240,246,181,173,247,242,200,185,194])).
% 82.72/82.58 cnf(10494,plain,
% 82.72/82.58 (P1(x104941,x104941,x104942)),
% 82.72/82.58 inference(rename_variables,[],[9668])).
% 82.72/82.58 cnf(10499,plain,
% 82.72/82.58 (P9(x104991,x104992,x104992,x104991)),
% 82.72/82.58 inference(rename_variables,[],[5729])).
% 82.72/82.58 cnf(10503,plain,
% 82.72/82.58 (P5(f8(x105031,x105031,x105031,x105031),x105031,f8(x105031,x105031,x105031,x105031),x105031)),
% 82.72/82.58 inference(scs_inference,[],[10281,10195,10343,9641,9898,9925,10316,10161,8306,9921,9927,9957,10153,10169,10171,10175,10179,10215,10274,10286,10328,10093,10165,10375,10378,10383,10142,10346,10351,10357,10360,10363,10369,10372,10386,5221,9763,9562,9664,10207,10212,10224,10290,6997,7898,10039,10341,10458,9751,10354,9694,9668,294,9440,5206,7779,8463,5729,10472,7159,8633,2,4334,789,801,3038,4342,4338,1609,1347,3053,797,586,1590,4061,4251,4331,4327,1340,785,256,150,149,1583,161,781,222,160,254,255,221,1601,148,151,184,252,165,250,249,153,168,163,223,162,164,253,167,442,251,166,179,112,154,227,244,176,243,226,202,240,246,181,173,247,242,200,185,194,220,187,198,170])).
% 82.72/82.58 cnf(10504,plain,
% 82.72/82.58 (P9(f8(x105041,x105041,x105041,x105041),x105041,x105041,x105041)),
% 82.72/82.58 inference(rename_variables,[],[10165])).
% 82.72/82.58 cnf(10513,plain,
% 82.72/82.58 (P9(x105131,x105132,x105132,x105131)),
% 82.72/82.58 inference(rename_variables,[],[5729])).
% 82.72/82.58 cnf(10522,plain,
% 82.72/82.58 (P9(x105221,x105222,x105222,x105221)),
% 82.72/82.58 inference(rename_variables,[],[5729])).
% 82.72/82.58 cnf(10530,plain,
% 82.72/82.58 (P4(x105301,x105302,x105303,x105302)),
% 82.72/82.58 inference(rename_variables,[],[10195])).
% 82.72/82.58 cnf(10548,plain,
% 82.72/82.58 (P3(a2,a2,f4(a3,a3,a3))),
% 82.72/82.58 inference(scs_inference,[],[10281,10195,10343,10530,9641,9898,9925,9458,10316,10161,10177,8306,9921,9927,9957,10149,10153,10169,10171,10175,10179,10215,10274,10286,10328,10093,10165,10375,10378,10383,10256,10142,10346,10351,10357,10360,10363,10369,10372,10386,5221,7163,9763,9562,8181,5646,9664,10207,10212,10224,10009,10290,6997,7898,7333,10039,10341,10458,9751,10354,9694,9668,10494,294,9440,9810,9292,8603,6154,5206,7779,8463,5729,10472,10499,10513,10522,7159,8633,2,4334,789,801,3038,4342,4338,1609,1347,3053,797,586,1590,4061,4251,4331,4327,1340,785,256,150,149,1583,161,781,222,160,254,255,221,1601,148,151,184,252,165,250,249,153,168,163,223,162,164,253,167,442,251,166,179,112,154,227,244,176,243,226,202,240,246,181,173,247,242,200,185,194,220,187,198,170,196,237,175,177,191,201,186,197,174,188,195,178,190,238,224,192,159])).
% 82.72/82.58 cnf(10549,plain,
% 82.72/82.58 (P1(x105491,x105491,x105492)),
% 82.72/82.58 inference(rename_variables,[],[9668])).
% 82.72/82.58 cnf(10552,plain,
% 82.72/82.58 (P3(x105521,x105521,x105521)),
% 82.72/82.58 inference(rename_variables,[],[10281])).
% 82.72/82.58 cnf(10553,plain,
% 82.72/82.58 (P4(x105531,x105531,x105531,x105532)),
% 82.72/82.58 inference(rename_variables,[],[10187])).
% 82.72/82.58 cnf(10556,plain,
% 82.72/82.58 (P3(x105561,x105561,x105561)),
% 82.72/82.58 inference(rename_variables,[],[10281])).
% 82.72/82.58 cnf(10559,plain,
% 82.72/82.58 (P5(x105591,x105591,x105592,x105592)),
% 82.72/82.58 inference(scs_inference,[],[10281,10552,10173,10187,10553,10195,10343,10530,9641,9898,9925,9458,10316,10161,10177,8306,9921,9927,9957,10149,10153,10169,10171,10175,10179,10215,10274,10286,10328,10093,10165,10375,10378,10383,10256,10142,10346,10351,10357,10360,10363,10369,10372,10386,5221,7163,9763,9562,8181,5646,9664,10207,10212,10224,10009,10290,6997,9422,7898,7333,10039,10341,10458,9751,10354,9694,9668,10494,8929,294,9440,9810,9292,8603,6154,5206,7779,8463,5729,10472,10499,10513,10522,5860,7159,8633,2,4334,789,801,3038,4342,4338,1609,1347,3053,797,586,1590,4061,4251,4331,4327,1340,785,256,150,149,1583,161,781,222,160,254,255,221,1601,148,151,184,252,165,250,249,153,168,163,223,162,164,253,167,442,251,166,179,112,154,227,244,176,243,226,202,240,246,181,173,247,242,200,185,194,220,187,198,170,196,237,175,177,191,201,186,197,174,188,195,178,190,238,224,192,159,189,183,248])).
% 82.72/82.58 cnf(10587,plain,
% 82.72/82.58 (P9(f8(x105871,x105871,x105871,x105871),x105871,x105871,x105871)),
% 82.72/82.58 inference(rename_variables,[],[10165])).
% 82.72/82.58 cnf(10596,plain,
% 82.72/82.58 (P10(a2,a2,a2,a18)),
% 82.72/82.58 inference(scs_inference,[],[10281,10552,10556,10173,10187,10553,10195,10343,10530,9641,9898,9925,9458,10316,10161,10177,8306,9921,9927,9957,10149,10153,10169,10171,10175,10179,10215,10274,10286,10328,10093,10165,10375,10378,10383,10504,10587,10256,10142,10346,10351,10357,10360,10363,10369,10372,10386,10389,5221,7163,9763,9562,8181,5646,9664,10207,10212,10224,10009,10290,6997,9422,9680,7898,7333,10039,10341,10458,8312,9751,10354,7935,9694,9668,10494,10549,8929,9434,294,9440,9246,9851,9810,9262,9292,8603,7571,6154,5206,7779,8463,5729,10472,10499,10513,10522,5860,7159,8633,2,4334,789,801,3038,4342,4338,1609,1347,3053,797,586,1590,4061,4251,4331,4327,1340,785,256,150,149,1583,161,781,222,160,254,255,221,1601,148,151,184,252,165,250,249,153,168,163,223,162,164,253,167,442,251,166,179,112,154,227,244,176,243,226,202,240,246,181,173,247,242,200,185,194,220,187,198,170,196,237,175,177,191,201,186,197,174,188,195,178,190,238,224,192,159,189,183,248,206,205,204,621,1298,526,4580,4808,4714,4736,3059,350,230])).
% 82.72/82.58 cnf(10615,plain,
% 82.72/82.58 (P10(f24(x106151,x106151,x106151,x106151,x106151,x106151),x106151,x106151,x106151)),
% 82.72/82.58 inference(rename_variables,[],[10474])).
% 82.72/82.58 cnf(10618,plain,
% 82.72/82.58 (P10(f24(x106181,x106181,x106181,x106181,x106181,x106181),x106181,x106181,x106181)),
% 82.72/82.58 inference(rename_variables,[],[10474])).
% 82.72/82.58 cnf(10621,plain,
% 82.72/82.58 (P10(f24(x106211,x106211,x106211,x106211,x106211,x106211),x106211,x106211,x106211)),
% 82.72/82.58 inference(rename_variables,[],[10474])).
% 82.72/82.58 cnf(10625,plain,
% 82.72/82.58 (P1(f13(a2,a18,a18,a18,x106251),a18,x106251)),
% 82.72/82.58 inference(rename_variables,[],[10493])).
% 82.72/82.58 cnf(10628,plain,
% 82.72/82.58 (P1(f13(a2,a18,a18,a18,x106281),a18,x106281)),
% 82.72/82.58 inference(rename_variables,[],[10493])).
% 82.72/82.58 cnf(10631,plain,
% 82.72/82.58 (P10(f24(x106311,x106311,x106311,x106311,x106311,x106311),x106311,x106311,x106311)),
% 82.72/82.58 inference(rename_variables,[],[10474])).
% 82.72/82.58 cnf(10634,plain,
% 82.72/82.58 (P10(f24(x106341,x106341,x106341,x106341,x106341,x106341),x106341,x106341,x106341)),
% 82.72/82.58 inference(rename_variables,[],[10474])).
% 82.72/82.58 cnf(10656,plain,
% 82.72/82.58 (P10(f20(x106561,a2),a2,x106561,a17)),
% 82.72/82.58 inference(rename_variables,[],[10334])).
% 82.72/82.58 cnf(10660,plain,
% 82.72/82.58 (P1(f24(a2,a17,a2,a17,a2,a2),a17,a2)),
% 82.72/82.58 inference(scs_inference,[],[9886,10157,10399,10342,10474,10615,10618,10621,10631,10634,7251,10493,10625,10628,10334,10397,10421,10252,9774,621,1298,526,2,3038,789,3064,476,3053,3059,4061,4331,785,1340,256,149,1583,161,150])).
% 82.72/82.58 cnf(10667,plain,
% 82.72/82.58 (P10(f20(x106671,a2),a2,x106671,a17)),
% 82.72/82.58 inference(rename_variables,[],[10334])).
% 82.72/82.58 cnf(10669,plain,
% 82.72/82.58 (P8(x106691,x106692,x106691,x106691,x106693,x106692,x106693,x106691)),
% 82.72/82.58 inference(scs_inference,[],[10435,9886,10403,10157,10399,10342,10474,10615,10618,10621,10631,10634,7251,10493,10625,10628,10334,10656,10397,10421,10072,10252,9774,621,1298,526,2,3038,789,3064,476,3053,3059,4061,4331,785,1340,256,149,1583,161,150,781,222,1601,221])).
% 82.72/82.58 cnf(10685,plain,
% 82.72/82.58 (P5(a2,a16,a17,a16)),
% 82.72/82.58 inference(scs_inference,[],[10415,10435,9886,9617,10403,10417,10157,10399,10342,10189,10480,10474,10615,10618,10621,10631,10634,7251,10493,10625,10628,10334,10656,10548,10397,10421,10072,10252,9774,621,1298,526,2,3038,789,3064,476,3053,3059,4061,4331,785,1340,256,149,1583,161,150,781,222,1601,221,160,254,255,148,151,184,250,165])).
% 82.72/82.58 cnf(10697,plain,
% 82.72/82.58 (P9(a1,a1,a2,a17)),
% 82.72/82.58 inference(scs_inference,[],[10415,10435,9886,9617,10403,10417,10157,10433,10399,10342,10407,9785,10189,10480,10474,10615,10618,10621,10631,10634,10489,6578,7251,10493,10625,10628,10334,10656,10548,10397,10421,10072,10252,9774,621,1298,526,2,3038,789,3064,476,3053,3059,4061,4331,785,1340,256,149,1583,161,150,781,222,1601,221,160,254,255,148,151,184,250,165,252,223,163,153,249,162])).
% 82.72/82.58 cnf(10701,plain,
% 82.72/82.58 (P4(x107011,x107012,x107011,x107013)),
% 82.72/82.58 inference(scs_inference,[],[10415,10435,10453,9886,9617,10403,10417,10157,10433,10399,10342,10407,9785,10189,10480,10474,10615,10618,10621,10631,10634,10489,6578,7251,10493,10625,10628,7943,10334,10656,10548,10397,10421,10072,10252,9774,621,1298,526,2,3038,789,3064,476,3053,3059,4061,4331,785,1340,256,149,1583,161,150,781,222,1601,221,160,254,255,148,151,184,250,165,252,223,163,153,249,162,164,168])).
% 82.72/82.58 cnf(10705,plain,
% 82.72/82.58 (P8(x107051,x107052,x107052,x107053,x107053,x107051,x107053,x107053)),
% 82.72/82.58 inference(scs_inference,[],[10415,10435,10453,9886,9617,10403,10417,10157,10433,10399,10342,10407,9785,10189,10480,10474,10615,10618,10621,10631,10634,10489,6578,7251,10493,10625,10628,7943,10334,10656,10548,10397,10421,10072,10252,9774,621,1298,526,2,3038,789,3064,476,3053,3059,4061,4331,785,1340,256,149,1583,161,150,781,222,1601,221,160,254,255,148,151,184,250,165,252,223,163,153,249,162,164,168,167,251])).
% 82.72/82.58 cnf(10713,plain,
% 82.72/82.58 (P4(x107131,x107132,x107133,x107131)),
% 82.72/82.58 inference(rename_variables,[],[10453])).
% 82.72/82.58 cnf(10718,plain,
% 82.72/82.58 (P9(x107181,x107182,x107181,x107182)),
% 82.72/82.58 inference(rename_variables,[],[5860])).
% 82.72/82.58 cnf(10720,plain,
% 82.72/82.58 (P5(a16,a17,a16,a17)),
% 82.72/82.58 inference(scs_inference,[],[10415,10435,10453,9886,9617,10403,10417,10157,10433,10399,10342,10407,8310,9785,10144,10189,10439,10480,10474,10615,10618,10621,10631,10634,10489,6578,7251,10493,10625,10628,7943,10334,10656,10667,10548,10397,10421,10072,10252,9774,296,9258,4839,6818,5860,621,1298,526,2,3038,789,3064,476,3053,3059,4061,4331,785,1340,256,149,1583,161,150,781,222,1601,221,160,254,255,148,151,184,250,165,252,223,163,153,249,162,164,168,167,251,253,442,110,244,243,240])).
% 82.72/82.58 cnf(10722,plain,
% 82.72/82.58 (P10(f24(a2,a18,a2,a18,a2,a2),a2,a18,a18)),
% 82.72/82.58 inference(scs_inference,[],[10415,10435,10453,9886,9617,10403,10417,10157,10433,10399,10342,10407,8310,9785,10144,10189,10439,10480,10474,10615,10618,10621,10631,10634,10489,6578,7251,10493,10625,10628,7943,10334,10656,10667,10548,10397,10421,10072,10252,9774,10047,296,9258,4839,6818,5860,621,1298,526,2,3038,789,3064,476,3053,3059,4061,4331,785,1340,256,149,1583,161,150,781,222,1601,221,160,254,255,148,151,184,250,165,252,223,163,153,249,162,164,168,167,251,253,442,110,244,243,240,202])).
% 82.72/82.58 cnf(10724,plain,
% 82.72/82.58 (P2(a2,a17,a2,a2)),
% 82.72/82.58 inference(scs_inference,[],[10415,10435,10453,9886,9617,10403,10417,10157,10433,10399,10342,10407,8310,9785,10144,10189,10439,10480,10474,10615,10618,10621,10631,10634,10489,6578,7251,10493,10625,10628,7943,10334,10656,10667,10548,10397,10421,10072,10252,9774,10047,296,9258,4839,6818,5860,621,1298,526,2,3038,789,3064,476,3053,3059,4061,4331,785,1340,256,149,1583,161,150,781,222,1601,221,160,254,255,148,151,184,250,165,252,223,163,153,249,162,164,168,167,251,253,442,110,244,243,240,202,181])).
% 82.72/82.58 cnf(10727,plain,
% 82.72/82.58 (P9(x107271,x107272,x107272,x107271)),
% 82.72/82.58 inference(rename_variables,[],[5729])).
% 82.72/82.58 cnf(10737,plain,
% 82.72/82.58 (P5(x107371,x107371,x107372,x107372)),
% 82.72/82.58 inference(rename_variables,[],[10559])).
% 82.72/82.58 cnf(10738,plain,
% 82.72/82.58 (P9(x107381,x107382,x107382,x107381)),
% 82.72/82.58 inference(rename_variables,[],[5729])).
% 82.72/82.58 cnf(10742,plain,
% 82.72/82.58 (P10(x107421,a18,x107421,a2)),
% 82.72/82.58 inference(scs_inference,[],[10415,10559,10435,10453,9886,9617,10403,10417,10449,10157,10433,10399,10342,10407,8310,9785,10144,10189,10439,10476,10480,10474,10615,10618,10621,10631,10634,10489,6578,7251,10493,10625,10628,7943,10334,10656,10667,10548,10397,10421,10072,10252,9774,9118,10047,296,9258,4839,6818,5729,10727,5860,10718,621,1298,526,2,3038,789,3064,476,3053,3059,4061,4331,785,1340,256,149,1583,161,150,781,222,1601,221,160,254,255,148,151,184,250,165,252,223,163,153,249,162,164,168,167,251,253,442,110,244,243,240,202,181,173,247,242,200,185,220,237])).
% 82.72/82.58 cnf(10743,plain,
% 82.72/82.58 (P8(x107431,x107432,x107431,x107433,x107433,x107432,x107433,x107433)),
% 82.72/82.58 inference(rename_variables,[],[10415])).
% 82.72/82.58 cnf(10748,plain,
% 82.72/82.58 (P9(x107481,x107482,x107482,x107481)),
% 82.72/82.58 inference(rename_variables,[],[5729])).
% 82.72/82.58 cnf(10750,plain,
% 82.72/82.58 (P1(f21(a18,a18,a2,a3),a2,a3)),
% 82.72/82.58 inference(scs_inference,[],[10415,10559,10435,10453,9886,9617,10403,10417,10449,10157,10433,10399,10342,10407,8310,9785,10144,10189,10439,10476,10480,10474,10615,10618,10621,10631,10634,10489,6578,7251,10493,10625,10628,7943,10334,10656,10667,10548,10397,10421,10072,10252,9774,5539,9118,10047,296,9258,4839,6154,6818,5729,10727,10738,5860,10718,621,1298,526,2,3038,789,3064,476,3053,3059,4061,4331,785,1340,256,149,1583,161,150,781,222,1601,221,160,254,255,148,151,184,250,165,252,223,163,153,249,162,164,168,167,251,253,442,110,244,243,240,202,181,173,247,242,200,185,220,237,201,170,191])).
% 82.72/82.58 cnf(10753,plain,
% 82.72/82.58 (P9(x107531,x107532,x107532,x107531)),
% 82.72/82.58 inference(rename_variables,[],[5729])).
% 82.72/82.58 cnf(10757,plain,
% 82.72/82.58 (P1(f5(a17,a2,a3),a3,a2)),
% 82.72/82.58 inference(scs_inference,[],[10415,10559,10435,10453,9886,9617,10403,10417,10449,10157,10433,10399,10342,10407,8310,9785,10144,10189,10439,10476,10480,10474,10615,10618,10621,10631,10634,10489,6578,7251,10493,10625,10628,7943,10334,10656,10667,10548,10397,10421,10072,10252,9774,5539,5022,8917,9118,10047,296,9258,7611,4839,6154,6818,5729,10727,10738,10748,5860,10718,621,1298,526,2,3038,789,3064,476,3053,3059,4061,4331,785,1340,256,149,1583,161,150,781,222,1601,221,160,254,255,148,151,184,250,165,252,223,163,153,249,162,164,168,167,251,253,442,110,244,243,240,202,181,173,247,242,200,185,220,237,201,170,191,187,175,174])).
% 82.72/82.58 cnf(10766,plain,
% 82.72/82.58 (P4(x107661,x107662,x107663,x107661)),
% 82.72/82.58 inference(rename_variables,[],[10453])).
% 82.72/82.58 cnf(10780,plain,
% 82.72/82.58 (P3(a3,a1,a3)),
% 82.72/82.58 inference(scs_inference,[],[10415,10743,10559,10737,10435,10453,10713,9886,9617,10403,10417,10449,10157,10433,10399,10342,10407,8310,9785,10144,10189,10427,10439,10441,10476,10480,10503,10474,10615,10618,10621,10631,10634,10489,6578,7251,10493,10625,10628,7943,10334,10656,10667,10548,10397,10421,10072,10252,9774,10020,5539,5022,5377,7441,8917,9118,10047,296,9434,9258,7611,9460,4839,6154,6818,5729,10727,10738,10748,10753,5860,10718,621,1298,526,2,3038,789,3064,476,3053,3059,4061,4331,785,1340,256,149,1583,161,150,781,222,1601,221,160,254,255,148,151,184,250,165,252,223,163,153,249,162,164,168,167,251,253,442,110,244,243,240,202,181,173,247,242,200,185,220,237,201,170,191,187,175,174,178,186,188,259,190,238,224,236])).
% 82.72/82.58 cnf(10781,plain,
% 82.72/82.58 (P1(x107811,x107812,x107811)),
% 82.72/82.58 inference(rename_variables,[],[9434])).
% 82.72/82.58 cnf(10786,plain,
% 82.72/82.58 (P4(x107861,x107862,x107863,x107861)),
% 82.72/82.58 inference(rename_variables,[],[10453])).
% 82.72/82.58 cnf(10796,plain,
% 82.72/82.58 (P1(x107961,x107962,x107961)),
% 82.72/82.58 inference(rename_variables,[],[9434])).
% 82.72/82.58 cnf(10812,plain,
% 82.72/82.58 (P1(x108121,a18,a2)),
% 82.72/82.58 inference(scs_inference,[],[10415,10743,10559,10737,10435,10453,10713,10766,10786,9886,9617,10403,10417,10449,10157,10433,10399,10342,10407,10425,8310,9785,9833,10144,10189,10427,10439,10441,10476,10480,10596,10503,10474,10615,10618,10621,10631,10634,10489,6578,7251,10493,10625,10628,7943,10334,10656,10667,10548,10397,10421,10072,10252,9774,10020,5539,5022,5377,7441,8733,8917,10142,9965,9118,9943,10047,296,9084,9434,10781,10796,7695,9258,9246,8402,7611,9460,9801,4839,6844,6154,6818,5729,10727,10738,10748,10753,5860,10718,621,1298,526,2,3038,789,3064,476,3053,3059,4061,4331,785,1340,256,149,1583,161,150,781,222,1601,221,160,254,255,148,151,184,250,165,252,223,163,153,249,162,164,168,167,251,253,442,110,244,243,240,202,181,173,247,242,200,185,220,237,201,170,191,187,175,174,178,186,188,259,190,238,224,236,192,189,248,206,205,204,4805,5796,4634,511,157])).
% 82.72/82.58 cnf(10839,plain,
% 82.72/82.58 (P4(x108391,x108392,x108391,x108393)),
% 82.72/82.58 inference(rename_variables,[],[10701])).
% 82.72/82.58 cnf(10899,plain,
% 82.72/82.58 ($false),
% 82.72/82.58 inference(scs_inference,[],[10669,10705,10701,10839,9620,9871,10720,10742,10812,10455,10685,10697,10724,10780,10382,10660,10750,10757,9815,10057,10312,10722,10453,9391,789,3064,3059,4331,785,1340,256,161,149,1583,150,781,222,221,160,255,148,1601,254,184,151,252,165,793,250,223,164,162,163,168]),
% 82.72/82.58 ['proof']).
% 82.72/82.59 % SZS output end Proof
% 82.72/82.59 % Total time :81.720000s
%------------------------------------------------------------------------------