%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO567+1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n023.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 06:05:45 EDT 2024
% Result : Theorem 130.98s 131.67s
% Output : CNFRefutation 131.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : GEO567+1 : TPTP v8.2.0. Released v7.5.0.
% 0.02/0.07 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.06/0.26 % Computer : n023.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Fri Jun 21 07:57:53 EDT 2024
% 0.06/0.26 % CPUTime :
% 0.11/0.42 start to proof:theBenchmark
% 130.98/131.66 %-------------------------------------------
% 130.98/131.66 % File :CSE---1.7
% 130.98/131.66 % Problem :theBenchmark
% 130.98/131.66 % Transform :cnf
% 130.98/131.66 % Format :tptp:raw
% 130.98/131.66 % Command :java -jar mcs_scs.jar %d %s
% 130.98/131.66
% 130.98/131.66 % Result :Theorem 130.470000s
% 130.98/131.66 % Output :CNFRefutation 130.470000s
% 130.98/131.66 %-------------------------------------------
% 130.98/131.67 %------------------------------------------------------------------------------
% 130.98/131.67 % File : GEO567+1 : TPTP v8.2.0. Released v7.5.0.
% 130.98/131.67 % Domain : Geometry
% 130.98/131.67 % Problem : JGEX problem 29
% 130.98/131.67 % Version : [CGZ00] axioms.
% 130.98/131.67 % English :
% 130.98/131.67
% 130.98/131.67 % Refs : [CGZ00] Chou et al. (2000), A Deductive Database Approach to A
% 130.98/131.67 % : [YCG08] Ye et al. (2008), An Introduction to Java Geometry Exp
% 130.98/131.67 % : [Qua20] Quaresma (2020), Email to Geoff Sutcliffe
% 130.98/131.67 % Source : [Qua20]
% 130.98/131.67 % Names : 29.p [Qua20]
% 130.98/131.67
% 130.98/131.67 % Status : Theorem
% 130.98/131.67 % Rating : 0.33 v8.1.0, 0.39 v7.5.0
% 130.98/131.67 % Syntax : Number of formulae : 95 ( 0 unt; 0 def)
% 130.98/131.67 % Number of atoms : 290 ( 1 equ)
% 130.98/131.67 % Maximal formula atoms : 8 ( 3 avg)
% 130.98/131.67 % Number of connectives : 202 ( 7 ~; 0 |; 100 &)
% 130.98/131.67 % ( 0 <=>; 95 =>; 0 <=; 0 <~>)
% 130.98/131.67 % Maximal formula depth : 15 ( 9 avg)
% 130.98/131.67 % Maximal term depth : 1 ( 1 avg)
% 130.98/131.67 % Number of predicates : 12 ( 11 usr; 0 prp; 2-8 aty)
% 130.98/131.67 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 130.98/131.67 % Number of variables : 528 ( 508 !; 20 ?)
% 130.98/131.67 % SPC : FOF_THM_RFO_SEQ
% 130.98/131.67
% 130.98/131.67 % Comments : Taken from JGEX [YCG08], converted by Pedro Quaresma.
% 130.98/131.67 %------------------------------------------------------------------------------
% 130.98/131.67 include('Axioms/GEO012+0.ax').
% 130.98/131.67 %------------------------------------------------------------------------------
% 130.98/131.67 fof(exemplo6GDDFULL214029,conjecture,
% 130.98/131.67 ! [A,B,C,D,Q,P] :
% 130.98/131.67 ( ( perp(D,A,B,C)
% 130.98/131.67 & coll(D,B,C)
% 130.98/131.67 & perp(Q,D,A,B)
% 130.98/131.67 & coll(Q,A,B)
% 130.98/131.67 & perp(P,D,A,C)
% 130.98/131.67 & coll(P,A,C) )
% 130.98/131.67 => cyclic(B,Q,P,C) ) ).
% 130.98/131.67
% 130.98/131.67 %------------------------------------------------------------------------------
% 130.98/131.67 %-------------------------------------------
% 130.98/131.67 % Proof found
% 130.98/131.67 % SZS status Theorem for theBenchmark
% 130.98/131.67 % SZS output start Proof
% 130.98/131.68 %ClaNum:261(EqnAxiom:141)
% 130.98/131.68 %VarNum:1613(SingletonVarNum:590)
% 130.98/131.68 %MaxLitNum:5
% 130.98/131.68 %MaxfuncDepth:1
% 130.98/131.68 %SharedTerms:13
% 130.98/131.68 %goalClause: 142 143 144 145 146 147 148
% 130.98/131.68 %singleGoalClaCount:7
% 130.98/131.68 [142]P1(a1,a2,a16)
% 130.98/131.68 [143]P1(a17,a3,a2)
% 130.98/131.68 [144]P1(a18,a3,a16)
% 130.98/131.68 [145]P3(a1,a3,a2,a16)
% 130.98/131.68 [146]P3(a17,a1,a3,a2)
% 130.98/131.68 [147]P3(a18,a1,a3,a16)
% 130.98/131.68 [148]~P4(a2,a17,a18,a16)
% 130.98/131.68 [149]~P1(x1492,x1491,x1493)+P1(x1491,x1492,x1493)
% 130.98/131.68 [150]~P1(x1501,x1503,x1502)+P1(x1501,x1502,x1503)
% 130.98/131.68 [151]~P7(x1511,x1512,x1513)+P1(x1511,x1512,x1513)
% 130.98/131.68 [152]~P7(x1521,x1523,x1522)+P7(x1521,x1522,x1523)
% 130.98/131.68 [154]~P7(x1541,x1542,x1543)+P5(x1541,x1542,x1541,x1543)
% 130.98/131.68 [158]~P10(x1581,x1582,x1581,x1583)+P1(x1581,x1582,x1583)
% 130.98/131.68 [224]~P5(x2241,x2242,x2241,x2243)+P9(x2241,x2242,x2242,x2243,x2242,x2243,x2241,x2243)
% 130.98/131.68 [161]~P10(x1613,x1614,x1611,x1612)+P10(x1611,x1612,x1613,x1614)
% 130.98/131.68 [162]~P10(x1621,x1622,x1624,x1623)+P10(x1621,x1622,x1623,x1624)
% 130.98/131.68 [163]~P3(x1633,x1634,x1631,x1632)+P3(x1631,x1632,x1633,x1634)
% 130.98/131.68 [164]~P3(x1641,x1642,x1644,x1643)+P3(x1641,x1642,x1643,x1644)
% 130.98/131.68 [165]~P5(x1653,x1654,x1651,x1652)+P5(x1651,x1652,x1653,x1654)
% 130.98/131.68 [166]~P5(x1661,x1662,x1664,x1663)+P5(x1661,x1662,x1663,x1664)
% 130.98/131.68 [167]~P4(x1672,x1671,x1673,x1674)+P4(x1671,x1672,x1673,x1674)
% 130.98/131.68 [168]~P4(x1681,x1683,x1682,x1684)+P4(x1681,x1682,x1683,x1684)
% 130.98/131.68 [169]~P4(x1691,x1692,x1694,x1693)+P4(x1691,x1692,x1693,x1694)
% 130.98/131.68 [222]~P4(x2222,x2223,x2221,x2224)+P9(x2221,x2222,x2221,x2223,x2224,x2222,x2224,x2223)
% 130.98/131.68 [185]~P2(x1854,x1851,x1852,x1853)+P3(f8(x1851,x1852,x1853,x1854),x1851,x1851,x1854)
% 130.98/131.68 [200]P5(x2001,x2002,x2003,x2004)+~P6(x2001,x2002,x2005,x2003,x2004,x2006)
% 130.98/131.68 [212]~P11(x2124,x2125,x2126,x2121,x2122,x2123)+P11(x2121,x2122,x2123,x2124,x2125,x2126)
% 130.98/131.68 [213]~P11(x2132,x2131,x2133,x2135,x2134,x2136)+P11(x2131,x2132,x2133,x2134,x2135,x2136)
% 130.98/131.68 [214]~P11(x2141,x2143,x2142,x2144,x2146,x2145)+P11(x2141,x2142,x2143,x2144,x2145,x2146)
% 130.98/131.68 [215]~P6(x2154,x2155,x2156,x2151,x2152,x2153)+P6(x2151,x2152,x2153,x2154,x2155,x2156)
% 130.98/131.68 [216]~P6(x2162,x2161,x2163,x2165,x2164,x2166)+P6(x2161,x2162,x2163,x2164,x2165,x2166)
% 130.98/131.68 [217]~P6(x2171,x2173,x2172,x2174,x2176,x2175)+P6(x2171,x2172,x2173,x2174,x2175,x2176)
% 130.98/131.68 [223]~P10(x2231,x2232,x2235,x2236)+P9(x2231,x2232,x2233,x2234,x2235,x2236,x2233,x2234)
% 130.98/131.68 [229]~P11(x2291,x2292,x2293,x2294,x2295,x2296)+P9(x2291,x2292,x2292,x2293,x2294,x2295,x2295,x2296)
% 130.98/131.68 [230]~P11(x2301,x2302,x2303,x2304,x2305,x2306)+P8(x2301,x2302,x2301,x2303,x2304,x2305,x2304,x2306)
% 130.98/131.68 [231]~P9(x2311,x2312,x2315,x2316,x2313,x2314,x2315,x2316)+P10(x2311,x2312,x2313,x2314)
% 130.98/131.68 [250]~P9(x2505,x2506,x2507,x2508,x2501,x2502,x2503,x2504)+P9(x2501,x2502,x2503,x2504,x2505,x2506,x2507,x2508)
% 130.98/131.68 [251]~P9(x2513,x2514,x2511,x2512,x2517,x2518,x2515,x2516)+P9(x2511,x2512,x2513,x2514,x2515,x2516,x2517,x2518)
% 130.98/131.68 [252]~P9(x2522,x2521,x2523,x2524,x2525,x2526,x2527,x2528)+P9(x2521,x2522,x2523,x2524,x2525,x2526,x2527,x2528)
% 130.98/131.68 [253]~P9(x2531,x2532,x2535,x2536,x2533,x2534,x2537,x2538)+P9(x2531,x2532,x2533,x2534,x2535,x2536,x2537,x2538)
% 130.98/131.68 [254]~P8(x2545,x2546,x2547,x2548,x2541,x2542,x2543,x2544)+P8(x2541,x2542,x2543,x2544,x2545,x2546,x2547,x2548)
% 130.98/131.68 [255]~P8(x2553,x2554,x2551,x2552,x2557,x2558,x2555,x2556)+P8(x2551,x2552,x2553,x2554,x2555,x2556,x2557,x2558)
% 130.98/131.68 [256]~P8(x2562,x2561,x2563,x2564,x2565,x2566,x2567,x2568)+P8(x2561,x2562,x2563,x2564,x2565,x2566,x2567,x2568)
% 130.98/131.68 [257]~P8(x2571,x2572,x2575,x2576,x2573,x2574,x2577,x2578)+P8(x2571,x2572,x2573,x2574,x2575,x2576,x2577,x2578)
% 130.98/131.68 [159]~P1(x1591,x1592,x1593)+~P5(x1591,x1592,x1591,x1593)+P7(x1591,x1592,x1593)
% 130.98/131.68 [233]P5(x2331,x2332,x2331,x2333)+~P9(x2331,x2332,x2332,x2333,x2332,x2333,x2331,x2333)+P1(x2331,x2332,x2333)
% 130.98/131.68 [174]~P3(x1741,x1742,x1742,x1743)+~P5(x1742,x1741,x1742,x1743)+P1(x1741,x1742,f4(x1741,x1743,x1742))
% 130.98/131.68 [186]~P3(x1862,x1861,x1861,x1863)+~P5(x1861,x1862,x1861,x1863)+P5(x1861,x1862,x1861,f4(x1862,x1863,x1861))
% 130.98/131.68 [153]~P1(x1533,x1534,x1531)+P1(x1531,x1532,x1533)+~P1(x1533,x1534,x1532)
% 130.98/131.68 [170]~P2(x1704,x1701,x1702,x1703)+P3(x1701,x1702,x1702,x1703)+~P1(x1704,x1701,x1703)
% 130.98/131.68 [171]~P3(x1711,x1714,x1712,x1713)+P5(x1711,x1712,x1711,x1713)+~P7(x1714,x1712,x1713)
% 130.98/131.68 [172]~P3(x1721,x1723,x1723,x1724)+P5(x1721,x1722,x1723,x1722)+~P7(x1722,x1721,x1724)
% 130.98/131.68 [179]~P5(x1791,x1794,x1792,x1794)+~P5(x1791,x1793,x1792,x1793)+P3(x1791,x1792,x1793,x1794)
% 130.98/131.68 [182]~P5(x1821,x1822,x1821,x1824)+~P5(x1821,x1822,x1821,x1823)+P2(x1821,x1822,x1823,x1824)
% 130.98/131.68 [228]~P10(x2281,x2284,x2283,x2282)+~P4(x2281,x2284,x2283,x2282)+P9(x2281,x2282,x2283,x2282,x2283,x2282,x2283,x2284)
% 130.98/131.68 [232]~P9(x2321,x2323,x2321,x2324,x2322,x2323,x2322,x2324)+P1(x2321,x2322,x2323)+P4(x2323,x2324,x2321,x2322)
% 130.98/131.68 [234]~P1(x2343,x2344,x2342)+~P9(x2343,x2341,x2343,x2342,x2344,x2341,x2344,x2342)+P4(x2341,x2342,x2343,x2344)
% 130.98/131.68 [236]P3(x2361,x2362,x2363,x2364)+~P9(x2361,x2362,x2363,x2364,x2363,x2364,x2361,x2362)+P10(x2361,x2362,x2363,x2364)
% 130.98/131.68 [175]~P3(x1751,x1754,x1752,x1753)+~P3(x1752,x1754,x1751,x1753)+P1(f5(x1751,x1752,x1753),x1753,x1752)
% 130.98/131.68 [176]~P3(x1761,x1764,x1762,x1763)+~P3(x1762,x1764,x1761,x1763)+P1(f6(x1761,x1762,x1763),x1763,x1761)
% 130.98/131.68 [187]~P3(x1871,x1874,x1872,x1873)+~P3(x1872,x1874,x1871,x1873)+P3(x1871,f5(x1871,x1872,x1873),x1873,x1872)
% 130.98/131.69 [188]~P3(x1881,x1884,x1882,x1883)+~P3(x1882,x1884,x1881,x1883)+P3(x1881,f6(x1882,x1881,x1883),x1883,x1882)
% 130.98/131.69 [189]~P3(x1891,x1893,x1893,x1892)+~P4(x1891,x1892,x1893,x1894)+P2(f9(x1891,x1892,x1893),x1891,x1892,x1893)
% 130.98/131.69 [191]~P3(x1913,x1914,x1912,x1911)+~P5(x1913,x1912,x1913,x1911)+P1(x1911,x1912,f20(x1912,x1911,x1913,x1914))
% 130.98/131.69 [192]~P3(x1923,x1924,x1921,x1922)+~P5(x1923,x1921,x1923,x1922)+P1(f20(x1921,x1922,x1923,x1924),x1923,x1924)
% 130.98/131.69 [243]~P5(x2433,x2432,x2433,x2431)+~P9(x2432,x2433,x2433,x2434,x2433,x2434,x2433,x2431)+P1(x2431,x2432,f21(x2432,x2431,x2433,x2434))
% 130.98/131.69 [244]~P3(x2443,x2444,x2442,x2441)+~P9(x2442,x2443,x2443,x2444,x2443,x2444,x2443,x2441)+P1(x2441,x2442,f22(x2442,x2441,x2443,x2444))
% 130.98/131.69 [245]~P3(x2453,x2452,x2452,x2451)+~P9(x2454,x2453,x2452,x2453,x2452,x2453,x2451,x2453)+P1(f15(x2451,x2452,x2453,x2454),x2453,x2454)
% 130.98/131.69 [246]~P3(x2463,x2462,x2462,x2461)+~P9(x2464,x2463,x2462,x2463,x2462,x2463,x2461,x2463)+P1(f15(x2461,x2462,x2463,x2464),x2461,x2462)
% 130.98/131.69 [247]~P5(x2473,x2471,x2473,x2472)+~P9(x2471,x2473,x2473,x2474,x2473,x2474,x2473,x2472)+P1(f21(x2471,x2472,x2473,x2474),x2473,x2474)
% 130.98/131.69 [248]~P3(x2483,x2484,x2481,x2482)+~P9(x2481,x2483,x2483,x2484,x2483,x2484,x2483,x2482)+P1(f22(x2481,x2482,x2483,x2484),x2483,x2484)
% 130.98/131.69 [155]~P7(x1555,x1551,x1553)+P10(x1551,x1552,x1553,x1554)+~P7(x1555,x1552,x1554)
% 130.98/131.69 [156]~P7(x1561,x1565,x1563)+P10(x1561,x1562,x1563,x1564)+~P7(x1562,x1565,x1564)
% 130.98/131.69 [183]~P4(x1835,x1831,x1832,x1833)+P4(x1831,x1832,x1833,x1834)+~P4(x1835,x1831,x1832,x1834)
% 130.98/131.69 [225]~P7(x2255,x2252,x2253)+~P2(x2254,x2251,x2252,x2253)+P9(x2251,x2252,x2251,x2253,x2254,x2252,x2254,x2255)
% 130.98/131.69 [227]~P2(x2275,x2271,x2273,x2274)+P9(x2271,x2272,x2271,x2273,x2274,x2271,x2274,x2273)+~P3(x2275,x2271,x2271,x2272)
% 130.98/131.69 [240]~P9(x2402,x2403,x2402,x2404,x2405,x2402,x2405,x2404)+P3(x2401,x2402,x2402,x2403)+~P2(x2401,x2402,x2404,x2405)
% 130.98/131.69 [195]~P1(x1952,x1954,x1955)+~P3(x1951,x1953,x1953,x1952)+P1(f13(x1951,x1952,x1953,x1954,x1955),x1954,x1955)
% 130.98/131.69 [196]~P1(x1962,x1964,x1965)+~P3(x1961,x1963,x1963,x1962)+P3(f13(x1961,x1962,x1963,x1964,x1965),x1961,x1964,x1965)
% 130.98/131.69 [197]~P3(x1973,x1974,x1974,x1971)+~P5(x1971,x1972,x1971,x1975)+P5(x1971,x1972,x1971,f25(x1973,x1974,x1972,x1975,x1971))
% 130.98/131.69 [198]~P3(x1983,x1981,x1981,x1985)+~P5(x1985,x1982,x1985,x1984)+P5(x1981,x1982,x1981,f25(x1983,x1981,x1982,x1984,x1985))
% 130.98/131.69 [199]~P3(x1991,x1992,x1992,x1995)+~P5(x1995,x1993,x1995,x1994)+P10(f25(x1991,x1992,x1993,x1994,x1995),x1993,x1991,x1992)
% 130.98/131.69 [242]~P9(x2421,x2423,x2422,x2423,x2421,x2424,x2422,x2425)+P1(x2421,x2422,x2423)+P4(x2424,x2422,x2423,f24(x2421,x2422,x2423,x2424))
% 130.98/131.69 [258]~P9(x2581,x2583,x2582,x2583,x2581,x2584,x2582,x2585)+P1(x2581,x2582,x2583)+P9(x2581,x2583,x2582,x2583,x2581,f24(x2581,x2582,x2583,x2584),x2582,f24(x2581,x2582,x2583,x2584))
% 130.98/131.69 [177]~P10(x1771,x1772,x1775,x1776)+P10(x1771,x1772,x1773,x1774)+~P10(x1775,x1776,x1773,x1774)
% 130.98/131.69 [178]~P3(x1781,x1782,x1785,x1786)+P10(x1781,x1782,x1783,x1784)+~P3(x1785,x1786,x1783,x1784)
% 130.98/131.69 [180]~P3(x1805,x1806,x1803,x1804)+P3(x1801,x1802,x1803,x1804)+~P10(x1801,x1802,x1805,x1806)
% 130.98/131.69 [181]~P5(x1811,x1812,x1815,x1816)+P5(x1811,x1812,x1813,x1814)+~P5(x1815,x1816,x1813,x1814)
% 130.98/131.69 [218]~P5(x2181,x2182,x2184,x2185)+~P11(x2181,x2182,x2183,x2184,x2185,x2186)+P6(x2181,x2182,x2183,x2184,x2185,x2186)
% 130.98/131.69 [221]~P7(x2214,x2215,x2216)+~P7(x2211,x2212,x2213)+P8(x2211,x2212,x2212,x2213,x2214,x2215,x2215,x2216)
% 130.98/131.69 [201]~P7(x2016,x2013,x2014)+~P7(x2015,x2011,x2012)+P7(f23(x2011,x2012,x2013,x2014,x2015,x2016),x2011,x2014)
% 130.98/131.69 [202]~P7(x2026,x2023,x2024)+~P7(x2025,x2021,x2022)+P10(f23(x2021,x2022,x2023,x2024,x2025,x2026),x2026,x2021,x2023)
% 130.98/131.69 [203]~P7(x2036,x2033,x2034)+~P7(x2035,x2031,x2032)+P10(f23(x2031,x2032,x2033,x2034,x2035,x2036),x2035,x2032,x2034)
% 130.98/131.69 [238]~P9(x2381,x2382,x2383,x2384,x2385,x2386,x2387,x2388)+P10(x2381,x2382,x2383,x2384)+~P10(x2385,x2386,x2387,x2388)
% 130.98/131.69 [239]~P9(x2391,x2392,x2393,x2394,x2395,x2396,x2397,x2398)+P3(x2391,x2392,x2393,x2394)+~P3(x2395,x2396,x2397,x2398)
% 130.98/131.69 [241]~P8(x2411,x2412,x2413,x2414,x2415,x2416,x2417,x2418)+P5(x2411,x2412,x2413,x2414)+~P5(x2415,x2416,x2417,x2418)
% 130.98/131.69 [219]~P11(x2191,x2192,x2193,x2197,x2198,x2199)+P11(x2191,x2192,x2193,x2194,x2195,x2196)+~P11(x2197,x2198,x2199,x2194,x2195,x2196)
% 130.98/131.69 [220]~P6(x2201,x2202,x2203,x2207,x2208,x2209)+P6(x2201,x2202,x2203,x2204,x2205,x2206)+~P6(x2207,x2208,x2209,x2204,x2205,x2206)
% 130.98/131.69 [260]~P9(x2601,x2602,x2603,x2604,x2609,x26010,x26011,x26012)+P9(x2601,x2602,x2603,x2604,x2605,x2606,x2607,x2608)+~P9(x2609,x26010,x26011,x26012,x2605,x2606,x2607,x2608)
% 130.98/131.69 [261]~P8(x2611,x2612,x2613,x2614,x2619,x26110,x26111,x26112)+P8(x2611,x2612,x2613,x2614,x2615,x2616,x2617,x2618)+~P8(x2619,x26110,x26111,x26112,x2615,x2616,x2617,x2618)
% 130.98/131.69 [193]~P5(x1932,x1931,x1934,x1931)+~P4(x1932,x1934,x1931,x1933)+P3(x1931,x1932,x1932,x1933)+~P5(x1932,x1933,x1934,x1933)
% 130.98/131.69 [160]~P1(x1601,x1602,x1603)+~P10(x1604,x1601,x1605,x1603)+P7(x1601,x1602,x1603)+~P7(x1604,x1602,x1605)
% 130.98/131.69 [173]~P10(x1734,x1733,x1735,x1732)+~P10(x1734,x1732,x1735,x1733)+P7(x1731,x1732,x1733)+~P7(x1731,x1734,x1735)
% 130.98/131.69 [194]~P5(x1945,x1941,x1945,x1943)+~P5(x1945,x1941,x1945,x1942)+P4(x1941,x1942,x1943,x1944)+~P5(x1945,x1941,x1945,x1944)
% 130.98/131.69 [226]~P1(x2261,x2264,x2265)+~P1(x2261,x2262,x2263)+~P10(x2262,x2264,x2263,x2265)+P8(x2261,x2262,x2262,x2263,x2261,x2264,x2264,x2265)
% 130.98/131.69 [237]~P1(x2371,x2372,x2373)+~P9(x2375,x2372,x2375,x2373,x2374,x2372,x2374,x2371)+P7(x2371,x2372,x2373)+~P2(x2374,x2375,x2372,x2373)
% 130.98/131.69 [184]~P3(x1843,x1841,x1843,x1845)+~P3(x1841,x1842,x1841,x1843)+~P7(x1844,x1842,x1845)+P7(f7(x1841,x1842,x1843),x1841,x1843)
% 130.98/131.69 [190]~P4(x1901,x1902,x1903,x1905)+~P10(x1901,x1902,x1903,x1905)+~P7(x1904,x1901,x1902)+P2(f10(x1901,x1902,x1903),x1901,x1902,x1903)
% 130.98/131.69 [259]~P9(x2591,x2593,x2592,x2593,x2594,x2596,x2595,x2596)+~P9(x2591,x2592,x2592,x2593,x2594,x2595,x2595,x2596)+P1(x2591,x2592,x2593)+P11(x2591,x2592,x2593,x2594,x2595,x2596)
% 130.98/131.69 [249]~P4(x2491,x2492,x2495,x2494)+~P4(x2491,x2492,x2495,x2493)+~P9(x2495,x2491,x2495,x2492,x2496,x2493,x2496,x2494)+P5(x2491,x2492,x2493,x2494)+~P4(x2491,x2492,x2495,x2496)
% 130.98/131.69 [204]~P1(x2042,x2043,x2044)+~P1(x2041,x2044,x2046)+~P1(x2041,x2043,x2045)+~P10(x2043,x2044,x2045,x2046)+P1(x2041,x2042,f14(x2043,x2044,x2045,x2046,x2041,x2042))
% 130.98/131.69 [205]~P1(x2056,x2051,x2052)+~P1(x2055,x2052,x2054)+~P1(x2055,x2051,x2053)+~P10(x2051,x2052,x2053,x2054)+P1(f14(x2051,x2052,x2053,x2054,x2055,x2056),x2053,x2054)
% 130.98/131.69 [206]~P1(x2063,x2064,x2065)+~P7(x2066,x2061,x2062)+~P10(x2061,x2063,x2065,x2066)+~P10(x2061,x2063,x2062,x2064)+P1(f26(x2061,x2062,x2063,x2064,x2065,x2066),x2066,x2065)
% 130.98/131.69 [207]~P1(x2073,x2074,x2075)+~P7(x2076,x2071,x2072)+~P10(x2071,x2073,x2075,x2076)+~P10(x2071,x2073,x2072,x2074)+P1(f26(x2071,x2072,x2073,x2074,x2075,x2076),x2071,x2074)
% 130.98/131.69 [208]~P5(x2082,x2083,x2082,x2084)+~P5(x2081,x2083,x2081,x2086)+~P2(x2081,x2083,x2084,x2085)+E(x2081,x2082)+P1(f11(x2083,x2084,x2085,x2086,x2081,x2082),x2083,x2085)
% 130.98/131.69 [209]~P5(x2092,x2093,x2092,x2094)+~P5(x2091,x2093,x2091,x2096)+~P2(x2091,x2093,x2094,x2095)+E(x2091,x2092)+P1(f12(x2093,x2094,x2095,x2096,x2091,x2092),x2094,x2096)
% 130.98/131.69 [210]~P5(x2102,x2103,x2102,x2104)+~P5(x2101,x2103,x2101,x2106)+~P2(x2101,x2103,x2104,x2105)+E(x2101,x2102)+P5(f11(x2103,x2104,x2105,x2106,x2101,x2102),x2102,x2102,x2103)
% 130.98/131.69 [211]~P5(x2112,x2113,x2112,x2114)+~P5(x2111,x2113,x2111,x2116)+~P2(x2111,x2113,x2114,x2115)+E(x2111,x2112)+P5(f12(x2113,x2114,x2115,x2116,x2111,x2112),x2112,x2112,x2113)
% 130.98/131.69 [157]~P1(x1573,x1571,x1574)+~P1(x1575,x1571,x1574)+~P7(x1576,x1575,x1573)+~P7(x1577,x1571,x1574)+P7(f19(x1571,x1572),x1571,x1572)
% 130.98/131.69 %EqnAxiom
% 130.98/131.69 [1]E(x11,x11)
% 130.98/131.69 [2]E(x22,x21)+~E(x21,x22)
% 130.98/131.69 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 130.98/131.69 [4]~E(x41,x42)+E(f19(x41,x43),f19(x42,x43))
% 130.98/131.69 [5]~E(x51,x52)+E(f19(x53,x51),f19(x53,x52))
% 130.98/131.69 [6]~E(x61,x62)+E(f4(x61,x63,x64),f4(x62,x63,x64))
% 130.98/131.69 [7]~E(x71,x72)+E(f4(x73,x71,x74),f4(x73,x72,x74))
% 130.98/131.69 [8]~E(x81,x82)+E(f4(x83,x84,x81),f4(x83,x84,x82))
% 130.98/131.69 [9]~E(x91,x92)+E(f5(x91,x93,x94),f5(x92,x93,x94))
% 130.98/131.69 [10]~E(x101,x102)+E(f5(x103,x101,x104),f5(x103,x102,x104))
% 130.98/131.69 [11]~E(x111,x112)+E(f5(x113,x114,x111),f5(x113,x114,x112))
% 130.98/131.69 [12]~E(x121,x122)+E(f6(x121,x123,x124),f6(x122,x123,x124))
% 130.98/131.69 [13]~E(x131,x132)+E(f6(x133,x131,x134),f6(x133,x132,x134))
% 130.98/131.69 [14]~E(x141,x142)+E(f6(x143,x144,x141),f6(x143,x144,x142))
% 130.98/131.69 [15]~E(x151,x152)+E(f7(x151,x153,x154),f7(x152,x153,x154))
% 130.98/131.69 [16]~E(x161,x162)+E(f7(x163,x161,x164),f7(x163,x162,x164))
% 130.98/131.69 [17]~E(x171,x172)+E(f7(x173,x174,x171),f7(x173,x174,x172))
% 130.98/131.69 [18]~E(x181,x182)+E(f8(x181,x183,x184,x185),f8(x182,x183,x184,x185))
% 130.98/131.69 [19]~E(x191,x192)+E(f8(x193,x191,x194,x195),f8(x193,x192,x194,x195))
% 130.98/131.69 [20]~E(x201,x202)+E(f8(x203,x204,x201,x205),f8(x203,x204,x202,x205))
% 130.98/131.69 [21]~E(x211,x212)+E(f8(x213,x214,x215,x211),f8(x213,x214,x215,x212))
% 130.98/131.69 [22]~E(x221,x222)+E(f24(x221,x223,x224,x225),f24(x222,x223,x224,x225))
% 130.98/131.69 [23]~E(x231,x232)+E(f24(x233,x231,x234,x235),f24(x233,x232,x234,x235))
% 130.98/131.69 [24]~E(x241,x242)+E(f24(x243,x244,x241,x245),f24(x243,x244,x242,x245))
% 130.98/131.69 [25]~E(x251,x252)+E(f24(x253,x254,x255,x251),f24(x253,x254,x255,x252))
% 130.98/131.69 [26]~E(x261,x262)+E(f21(x261,x263,x264,x265),f21(x262,x263,x264,x265))
% 130.98/131.69 [27]~E(x271,x272)+E(f21(x273,x271,x274,x275),f21(x273,x272,x274,x275))
% 130.98/131.69 [28]~E(x281,x282)+E(f21(x283,x284,x281,x285),f21(x283,x284,x282,x285))
% 130.98/131.69 [29]~E(x291,x292)+E(f21(x293,x294,x295,x291),f21(x293,x294,x295,x292))
% 130.98/131.69 [30]~E(x301,x302)+E(f22(x301,x303,x304,x305),f22(x302,x303,x304,x305))
% 130.98/131.69 [31]~E(x311,x312)+E(f22(x313,x311,x314,x315),f22(x313,x312,x314,x315))
% 130.98/131.69 [32]~E(x321,x322)+E(f22(x323,x324,x321,x325),f22(x323,x324,x322,x325))
% 130.98/131.69 [33]~E(x331,x332)+E(f22(x333,x334,x335,x331),f22(x333,x334,x335,x332))
% 130.98/131.69 [34]~E(x341,x342)+E(f9(x341,x343,x344),f9(x342,x343,x344))
% 130.98/131.69 [35]~E(x351,x352)+E(f9(x353,x351,x354),f9(x353,x352,x354))
% 130.98/131.69 [36]~E(x361,x362)+E(f9(x363,x364,x361),f9(x363,x364,x362))
% 130.98/131.69 [37]~E(x371,x372)+E(f10(x371,x373,x374),f10(x372,x373,x374))
% 130.98/131.69 [38]~E(x381,x382)+E(f10(x383,x381,x384),f10(x383,x382,x384))
% 130.98/131.69 [39]~E(x391,x392)+E(f10(x393,x394,x391),f10(x393,x394,x392))
% 130.98/131.69 [40]~E(x401,x402)+E(f20(x401,x403,x404,x405),f20(x402,x403,x404,x405))
% 130.98/131.69 [41]~E(x411,x412)+E(f20(x413,x411,x414,x415),f20(x413,x412,x414,x415))
% 130.98/131.69 [42]~E(x421,x422)+E(f20(x423,x424,x421,x425),f20(x423,x424,x422,x425))
% 130.98/131.69 [43]~E(x431,x432)+E(f20(x433,x434,x435,x431),f20(x433,x434,x435,x432))
% 130.98/131.69 [44]~E(x441,x442)+E(f15(x441,x443,x444,x445),f15(x442,x443,x444,x445))
% 130.98/131.69 [45]~E(x451,x452)+E(f15(x453,x451,x454,x455),f15(x453,x452,x454,x455))
% 130.98/131.69 [46]~E(x461,x462)+E(f15(x463,x464,x461,x465),f15(x463,x464,x462,x465))
% 130.98/131.69 [47]~E(x471,x472)+E(f15(x473,x474,x475,x471),f15(x473,x474,x475,x472))
% 130.98/131.69 [48]~E(x481,x482)+E(f13(x481,x483,x484,x485,x486),f13(x482,x483,x484,x485,x486))
% 130.98/131.69 [49]~E(x491,x492)+E(f13(x493,x491,x494,x495,x496),f13(x493,x492,x494,x495,x496))
% 130.98/131.69 [50]~E(x501,x502)+E(f13(x503,x504,x501,x505,x506),f13(x503,x504,x502,x505,x506))
% 130.98/131.69 [51]~E(x511,x512)+E(f13(x513,x514,x515,x511,x516),f13(x513,x514,x515,x512,x516))
% 130.98/131.69 [52]~E(x521,x522)+E(f13(x523,x524,x525,x526,x521),f13(x523,x524,x525,x526,x522))
% 130.98/131.69 [53]~E(x531,x532)+E(f12(x531,x533,x534,x535,x536,x537),f12(x532,x533,x534,x535,x536,x537))
% 130.98/131.69 [54]~E(x541,x542)+E(f12(x543,x541,x544,x545,x546,x547),f12(x543,x542,x544,x545,x546,x547))
% 130.98/131.69 [55]~E(x551,x552)+E(f12(x553,x554,x551,x555,x556,x557),f12(x553,x554,x552,x555,x556,x557))
% 130.98/131.69 [56]~E(x561,x562)+E(f12(x563,x564,x565,x561,x566,x567),f12(x563,x564,x565,x562,x566,x567))
% 130.98/131.69 [57]~E(x571,x572)+E(f12(x573,x574,x575,x576,x571,x577),f12(x573,x574,x575,x576,x572,x577))
% 130.98/131.69 [58]~E(x581,x582)+E(f12(x583,x584,x585,x586,x587,x581),f12(x583,x584,x585,x586,x587,x582))
% 130.98/131.69 [59]~E(x591,x592)+E(f25(x591,x593,x594,x595,x596),f25(x592,x593,x594,x595,x596))
% 130.98/131.69 [60]~E(x601,x602)+E(f25(x603,x601,x604,x605,x606),f25(x603,x602,x604,x605,x606))
% 130.98/131.69 [61]~E(x611,x612)+E(f25(x613,x614,x611,x615,x616),f25(x613,x614,x612,x615,x616))
% 130.98/131.69 [62]~E(x621,x622)+E(f25(x623,x624,x625,x621,x626),f25(x623,x624,x625,x622,x626))
% 130.98/131.69 [63]~E(x631,x632)+E(f25(x633,x634,x635,x636,x631),f25(x633,x634,x635,x636,x632))
% 130.98/131.69 [64]~E(x641,x642)+E(f11(x641,x643,x644,x645,x646,x647),f11(x642,x643,x644,x645,x646,x647))
% 130.98/131.69 [65]~E(x651,x652)+E(f11(x653,x651,x654,x655,x656,x657),f11(x653,x652,x654,x655,x656,x657))
% 130.98/131.69 [66]~E(x661,x662)+E(f11(x663,x664,x661,x665,x666,x667),f11(x663,x664,x662,x665,x666,x667))
% 130.98/131.69 [67]~E(x671,x672)+E(f11(x673,x674,x675,x671,x676,x677),f11(x673,x674,x675,x672,x676,x677))
% 130.98/131.69 [68]~E(x681,x682)+E(f11(x683,x684,x685,x686,x681,x687),f11(x683,x684,x685,x686,x682,x687))
% 130.98/131.69 [69]~E(x691,x692)+E(f11(x693,x694,x695,x696,x697,x691),f11(x693,x694,x695,x696,x697,x692))
% 130.98/131.69 [70]~E(x701,x702)+E(f26(x701,x703,x704,x705,x706,x707),f26(x702,x703,x704,x705,x706,x707))
% 130.98/131.69 [71]~E(x711,x712)+E(f26(x713,x711,x714,x715,x716,x717),f26(x713,x712,x714,x715,x716,x717))
% 130.98/131.69 [72]~E(x721,x722)+E(f26(x723,x724,x721,x725,x726,x727),f26(x723,x724,x722,x725,x726,x727))
% 130.98/131.69 [73]~E(x731,x732)+E(f26(x733,x734,x735,x731,x736,x737),f26(x733,x734,x735,x732,x736,x737))
% 130.98/131.69 [74]~E(x741,x742)+E(f26(x743,x744,x745,x746,x741,x747),f26(x743,x744,x745,x746,x742,x747))
% 130.98/131.69 [75]~E(x751,x752)+E(f26(x753,x754,x755,x756,x757,x751),f26(x753,x754,x755,x756,x757,x752))
% 130.98/131.69 [76]~E(x761,x762)+E(f23(x761,x763,x764,x765,x766,x767),f23(x762,x763,x764,x765,x766,x767))
% 130.98/131.69 [77]~E(x771,x772)+E(f23(x773,x771,x774,x775,x776,x777),f23(x773,x772,x774,x775,x776,x777))
% 130.98/131.69 [78]~E(x781,x782)+E(f23(x783,x784,x781,x785,x786,x787),f23(x783,x784,x782,x785,x786,x787))
% 130.98/131.69 [79]~E(x791,x792)+E(f23(x793,x794,x795,x791,x796,x797),f23(x793,x794,x795,x792,x796,x797))
% 130.98/131.69 [80]~E(x801,x802)+E(f23(x803,x804,x805,x806,x801,x807),f23(x803,x804,x805,x806,x802,x807))
% 130.98/131.69 [81]~E(x811,x812)+E(f23(x813,x814,x815,x816,x817,x811),f23(x813,x814,x815,x816,x817,x812))
% 130.98/131.69 [82]~E(x821,x822)+E(f14(x821,x823,x824,x825,x826,x827),f14(x822,x823,x824,x825,x826,x827))
% 130.98/131.69 [83]~E(x831,x832)+E(f14(x833,x831,x834,x835,x836,x837),f14(x833,x832,x834,x835,x836,x837))
% 130.98/131.69 [84]~E(x841,x842)+E(f14(x843,x844,x841,x845,x846,x847),f14(x843,x844,x842,x845,x846,x847))
% 130.98/131.69 [85]~E(x851,x852)+E(f14(x853,x854,x855,x851,x856,x857),f14(x853,x854,x855,x852,x856,x857))
% 130.98/131.69 [86]~E(x861,x862)+E(f14(x863,x864,x865,x866,x861,x867),f14(x863,x864,x865,x866,x862,x867))
% 130.98/131.69 [87]~E(x871,x872)+E(f14(x873,x874,x875,x876,x877,x871),f14(x873,x874,x875,x876,x877,x872))
% 130.98/131.69 [88]P1(x882,x883,x884)+~E(x881,x882)+~P1(x881,x883,x884)
% 130.98/131.69 [89]P1(x893,x892,x894)+~E(x891,x892)+~P1(x893,x891,x894)
% 130.98/131.69 [90]P1(x903,x904,x902)+~E(x901,x902)+~P1(x903,x904,x901)
% 130.98/131.69 [91]P8(x912,x913,x914,x915,x916,x917,x918,x919)+~E(x911,x912)+~P8(x911,x913,x914,x915,x916,x917,x918,x919)
% 130.98/131.69 [92]P8(x923,x922,x924,x925,x926,x927,x928,x929)+~E(x921,x922)+~P8(x923,x921,x924,x925,x926,x927,x928,x929)
% 130.98/131.69 [93]P8(x933,x934,x932,x935,x936,x937,x938,x939)+~E(x931,x932)+~P8(x933,x934,x931,x935,x936,x937,x938,x939)
% 130.98/131.69 [94]P8(x943,x944,x945,x942,x946,x947,x948,x949)+~E(x941,x942)+~P8(x943,x944,x945,x941,x946,x947,x948,x949)
% 130.98/131.69 [95]P8(x953,x954,x955,x956,x952,x957,x958,x959)+~E(x951,x952)+~P8(x953,x954,x955,x956,x951,x957,x958,x959)
% 130.98/131.69 [96]P8(x963,x964,x965,x966,x967,x962,x968,x969)+~E(x961,x962)+~P8(x963,x964,x965,x966,x967,x961,x968,x969)
% 130.98/131.69 [97]P8(x973,x974,x975,x976,x977,x978,x972,x979)+~E(x971,x972)+~P8(x973,x974,x975,x976,x977,x978,x971,x979)
% 130.98/131.69 [98]P8(x983,x984,x985,x986,x987,x988,x989,x982)+~E(x981,x982)+~P8(x983,x984,x985,x986,x987,x988,x989,x981)
% 130.98/131.69 [99]P4(x992,x993,x994,x995)+~E(x991,x992)+~P4(x991,x993,x994,x995)
% 130.98/131.69 [100]P4(x1003,x1002,x1004,x1005)+~E(x1001,x1002)+~P4(x1003,x1001,x1004,x1005)
% 130.98/131.69 [101]P4(x1013,x1014,x1012,x1015)+~E(x1011,x1012)+~P4(x1013,x1014,x1011,x1015)
% 130.98/131.69 [102]P4(x1023,x1024,x1025,x1022)+~E(x1021,x1022)+~P4(x1023,x1024,x1025,x1021)
% 130.98/131.69 [103]P3(x1032,x1033,x1034,x1035)+~E(x1031,x1032)+~P3(x1031,x1033,x1034,x1035)
% 130.98/131.69 [104]P3(x1043,x1042,x1044,x1045)+~E(x1041,x1042)+~P3(x1043,x1041,x1044,x1045)
% 130.98/131.69 [105]P3(x1053,x1054,x1052,x1055)+~E(x1051,x1052)+~P3(x1053,x1054,x1051,x1055)
% 130.98/131.69 [106]P3(x1063,x1064,x1065,x1062)+~E(x1061,x1062)+~P3(x1063,x1064,x1065,x1061)
% 130.98/131.69 [107]P11(x1072,x1073,x1074,x1075,x1076,x1077)+~E(x1071,x1072)+~P11(x1071,x1073,x1074,x1075,x1076,x1077)
% 130.98/131.69 [108]P11(x1083,x1082,x1084,x1085,x1086,x1087)+~E(x1081,x1082)+~P11(x1083,x1081,x1084,x1085,x1086,x1087)
% 130.98/131.69 [109]P11(x1093,x1094,x1092,x1095,x1096,x1097)+~E(x1091,x1092)+~P11(x1093,x1094,x1091,x1095,x1096,x1097)
% 130.98/131.69 [110]P11(x1103,x1104,x1105,x1102,x1106,x1107)+~E(x1101,x1102)+~P11(x1103,x1104,x1105,x1101,x1106,x1107)
% 130.98/131.69 [111]P11(x1113,x1114,x1115,x1116,x1112,x1117)+~E(x1111,x1112)+~P11(x1113,x1114,x1115,x1116,x1111,x1117)
% 130.98/131.69 [112]P11(x1123,x1124,x1125,x1126,x1127,x1122)+~E(x1121,x1122)+~P11(x1123,x1124,x1125,x1126,x1127,x1121)
% 130.98/131.69 [113]P10(x1132,x1133,x1134,x1135)+~E(x1131,x1132)+~P10(x1131,x1133,x1134,x1135)
% 130.98/131.69 [114]P10(x1143,x1142,x1144,x1145)+~E(x1141,x1142)+~P10(x1143,x1141,x1144,x1145)
% 130.98/131.69 [115]P10(x1153,x1154,x1152,x1155)+~E(x1151,x1152)+~P10(x1153,x1154,x1151,x1155)
% 130.98/131.69 [116]P10(x1163,x1164,x1165,x1162)+~E(x1161,x1162)+~P10(x1163,x1164,x1165,x1161)
% 130.98/131.69 [117]P9(x1172,x1173,x1174,x1175,x1176,x1177,x1178,x1179)+~E(x1171,x1172)+~P9(x1171,x1173,x1174,x1175,x1176,x1177,x1178,x1179)
% 130.98/131.69 [118]P9(x1183,x1182,x1184,x1185,x1186,x1187,x1188,x1189)+~E(x1181,x1182)+~P9(x1183,x1181,x1184,x1185,x1186,x1187,x1188,x1189)
% 130.98/131.69 [119]P9(x1193,x1194,x1192,x1195,x1196,x1197,x1198,x1199)+~E(x1191,x1192)+~P9(x1193,x1194,x1191,x1195,x1196,x1197,x1198,x1199)
% 130.98/131.69 [120]P9(x1203,x1204,x1205,x1202,x1206,x1207,x1208,x1209)+~E(x1201,x1202)+~P9(x1203,x1204,x1205,x1201,x1206,x1207,x1208,x1209)
% 130.98/131.69 [121]P9(x1213,x1214,x1215,x1216,x1212,x1217,x1218,x1219)+~E(x1211,x1212)+~P9(x1213,x1214,x1215,x1216,x1211,x1217,x1218,x1219)
% 130.98/131.69 [122]P9(x1223,x1224,x1225,x1226,x1227,x1222,x1228,x1229)+~E(x1221,x1222)+~P9(x1223,x1224,x1225,x1226,x1227,x1221,x1228,x1229)
% 130.98/131.69 [123]P9(x1233,x1234,x1235,x1236,x1237,x1238,x1232,x1239)+~E(x1231,x1232)+~P9(x1233,x1234,x1235,x1236,x1237,x1238,x1231,x1239)
% 130.98/131.69 [124]P9(x1243,x1244,x1245,x1246,x1247,x1248,x1249,x1242)+~E(x1241,x1242)+~P9(x1243,x1244,x1245,x1246,x1247,x1248,x1249,x1241)
% 130.98/131.69 [125]P5(x1252,x1253,x1254,x1255)+~E(x1251,x1252)+~P5(x1251,x1253,x1254,x1255)
% 130.98/131.69 [126]P5(x1263,x1262,x1264,x1265)+~E(x1261,x1262)+~P5(x1263,x1261,x1264,x1265)
% 130.98/131.69 [127]P5(x1273,x1274,x1272,x1275)+~E(x1271,x1272)+~P5(x1273,x1274,x1271,x1275)
% 130.98/131.69 [128]P5(x1283,x1284,x1285,x1282)+~E(x1281,x1282)+~P5(x1283,x1284,x1285,x1281)
% 130.98/131.69 [129]P2(x1292,x1293,x1294,x1295)+~E(x1291,x1292)+~P2(x1291,x1293,x1294,x1295)
% 130.98/131.69 [130]P2(x1303,x1302,x1304,x1305)+~E(x1301,x1302)+~P2(x1303,x1301,x1304,x1305)
% 130.98/131.69 [131]P2(x1313,x1314,x1312,x1315)+~E(x1311,x1312)+~P2(x1313,x1314,x1311,x1315)
% 130.98/131.69 [132]P2(x1323,x1324,x1325,x1322)+~E(x1321,x1322)+~P2(x1323,x1324,x1325,x1321)
% 130.98/131.69 [133]P7(x1332,x1333,x1334)+~E(x1331,x1332)+~P7(x1331,x1333,x1334)
% 130.98/131.69 [134]P7(x1343,x1342,x1344)+~E(x1341,x1342)+~P7(x1343,x1341,x1344)
% 130.98/131.69 [135]P7(x1353,x1354,x1352)+~E(x1351,x1352)+~P7(x1353,x1354,x1351)
% 130.98/131.69 [136]P6(x1362,x1363,x1364,x1365,x1366,x1367)+~E(x1361,x1362)+~P6(x1361,x1363,x1364,x1365,x1366,x1367)
% 130.98/131.69 [137]P6(x1373,x1372,x1374,x1375,x1376,x1377)+~E(x1371,x1372)+~P6(x1373,x1371,x1374,x1375,x1376,x1377)
% 130.98/131.69 [138]P6(x1383,x1384,x1382,x1385,x1386,x1387)+~E(x1381,x1382)+~P6(x1383,x1384,x1381,x1385,x1386,x1387)
% 130.98/131.69 [139]P6(x1393,x1394,x1395,x1392,x1396,x1397)+~E(x1391,x1392)+~P6(x1393,x1394,x1395,x1391,x1396,x1397)
% 130.98/131.69 [140]P6(x1403,x1404,x1405,x1406,x1402,x1407)+~E(x1401,x1402)+~P6(x1403,x1404,x1405,x1406,x1401,x1407)
% 130.98/131.69 [141]P6(x1413,x1414,x1415,x1416,x1417,x1412)+~E(x1411,x1412)+~P6(x1413,x1414,x1415,x1416,x1417,x1411)
% 130.98/131.69
% 130.98/131.69 %-------------------------------------------
% 131.11/131.75 cnf(262,plain,
% 131.11/131.75 (~P4(a17,a2,a18,a16)),
% 131.11/131.75 inference(scs_inference,[],[148,167])).
% 131.11/131.75 cnf(264,plain,
% 131.11/131.75 (~P4(a2,a18,a17,a16)),
% 131.11/131.75 inference(scs_inference,[],[148,167,168])).
% 131.11/131.75 cnf(266,plain,
% 131.11/131.75 (~P4(a2,a17,a16,a18)),
% 131.11/131.75 inference(scs_inference,[],[148,167,168,169])).
% 131.11/131.75 cnf(268,plain,
% 131.11/131.75 (P1(a16,a16,a1)),
% 131.11/131.75 inference(scs_inference,[],[142,148,167,168,169,153])).
% 131.11/131.75 cnf(270,plain,
% 131.11/131.75 (~P3(x2701,x2702,a1,a3)+P10(x2701,x2702,a2,a16)),
% 131.11/131.75 inference(scs_inference,[],[142,145,148,167,168,169,153,178])).
% 131.11/131.75 cnf(282,plain,
% 131.11/131.75 (~P4(a17,a2,a16,a18)),
% 131.11/131.75 inference(scs_inference,[],[262,169])).
% 131.11/131.75 cnf(284,plain,
% 131.11/131.75 (~P4(a18,a2,a17,a16)),
% 131.11/131.75 inference(scs_inference,[],[262,264,169,167])).
% 131.11/131.75 cnf(286,plain,
% 131.11/131.75 (~P4(a17,a18,a2,a16)),
% 131.11/131.75 inference(scs_inference,[],[262,264,169,167,168])).
% 131.11/131.75 cnf(288,plain,
% 131.11/131.75 (P1(a2,a2,a17)),
% 131.11/131.75 inference(scs_inference,[],[143,262,264,169,167,168,153])).
% 131.11/131.75 cnf(298,plain,
% 131.11/131.75 (~P4(a18,a2,a16,a17)),
% 131.11/131.75 inference(scs_inference,[],[284,169])).
% 131.11/131.75 cnf(300,plain,
% 131.11/131.75 (~P4(a2,a16,a17,a18)),
% 131.11/131.75 inference(scs_inference,[],[266,284,169,168])).
% 131.11/131.75 cnf(302,plain,
% 131.11/131.75 (~P4(a18,a17,a2,a16)),
% 131.11/131.75 inference(scs_inference,[],[266,284,286,169,168,167])).
% 131.11/131.75 cnf(304,plain,
% 131.11/131.75 (P1(a16,a16,a18)),
% 131.11/131.75 inference(scs_inference,[],[144,266,284,286,169,168,167,153])).
% 131.11/131.75 cnf(310,plain,
% 131.11/131.75 (~P3(x3101,x3102,a18,a1)+P10(x3101,x3102,a3,a16)),
% 131.11/131.75 inference(scs_inference,[],[142,144,147,148,266,284,286,169,168,167,153,90,103,234,178])).
% 131.11/131.75 cnf(318,plain,
% 131.11/131.75 (~P4(a2,a16,a18,a17)),
% 131.11/131.75 inference(scs_inference,[],[300,169])).
% 131.11/131.75 cnf(320,plain,
% 131.11/131.75 (~P4(a2,a18,a16,a17)),
% 131.11/131.75 inference(scs_inference,[],[298,300,169,167])).
% 131.11/131.75 cnf(322,plain,
% 131.11/131.75 (~P4(a17,a16,a2,a18)),
% 131.11/131.75 inference(scs_inference,[],[282,298,300,169,167,168])).
% 131.11/131.75 cnf(324,plain,
% 131.11/131.75 (P1(a1,a1,a16)),
% 131.11/131.75 inference(scs_inference,[],[268,282,298,300,169,167,168,153])).
% 131.11/131.75 cnf(328,plain,
% 131.11/131.75 (~P3(x3281,x3282,a17,a1)+P10(x3281,x3282,a3,a2)),
% 131.11/131.75 inference(scs_inference,[],[142,146,147,268,282,298,300,169,167,168,153,106,89,178])).
% 131.11/131.75 cnf(330,plain,
% 131.11/131.75 (~P9(a16,a17,a16,a2,a18,a17,a18,a2)+~P1(a16,a18,a2)),
% 131.11/131.75 inference(scs_inference,[],[142,146,147,268,282,298,300,169,167,168,153,106,89,178,234])).
% 131.11/131.75 cnf(338,plain,
% 131.11/131.75 (~P4(a18,a17,a16,a2)),
% 131.11/131.75 inference(scs_inference,[],[302,169])).
% 131.11/131.75 cnf(342,plain,
% 131.11/131.75 (~P4(a16,a2,a18,a17)),
% 131.11/131.75 inference(scs_inference,[],[302,318,298,169,168,167])).
% 131.11/131.75 cnf(344,plain,
% 131.11/131.75 (P1(a17,a17,a2)),
% 131.11/131.75 inference(scs_inference,[],[288,302,318,298,169,168,167,153])).
% 131.11/131.75 cnf(357,plain,
% 131.11/131.75 (~P4(a17,a16,a18,a2)),
% 131.11/131.75 inference(scs_inference,[],[322,169])).
% 131.11/131.75 cnf(363,plain,
% 131.11/131.75 (P1(a18,a18,a16)),
% 131.11/131.75 inference(scs_inference,[],[304,322,338,169,167,168,153])).
% 131.11/131.75 cnf(371,plain,
% 131.11/131.75 (~P4(a16,a2,a17,a18)),
% 131.11/131.75 inference(scs_inference,[],[342,169])).
% 131.11/131.75 cnf(373,plain,
% 131.11/131.75 (~P4(a16,a18,a2,a17)),
% 131.11/131.75 inference(scs_inference,[],[342,169,168])).
% 131.11/131.75 cnf(388,plain,
% 131.11/131.75 (~P4(a16,a18,a17,a2)),
% 131.11/131.75 inference(scs_inference,[],[373,169])).
% 131.11/131.75 cnf(390,plain,
% 131.11/131.75 (~P4(a17,a18,a16,a2)),
% 131.11/131.75 inference(scs_inference,[],[373,338,169,167])).
% 131.11/131.75 cnf(522,plain,
% 131.11/131.75 (~P9(a18,a17,a18,a16,a2,a17,a2,a16)+~P1(a18,a2,a16)),
% 131.11/131.75 inference(scs_inference,[],[357,234])).
% 131.11/131.75 cnf(524,plain,
% 131.11/131.75 (~P9(a17,a18,a18,a16,a2,a17,a2,a16)+~P1(a18,a2,a16)),
% 131.11/131.75 inference(scs_inference,[],[357,234,252])).
% 131.11/131.75 cnf(526,plain,
% 131.11/131.75 (~P9(a18,a17,a2,a17,a18,a16,a2,a16)+~P1(a18,a2,a16)),
% 131.11/131.75 inference(scs_inference,[],[357,234,252,253])).
% 131.11/131.75 cnf(528,plain,
% 131.11/131.75 (~P9(a18,a16,a18,a17,a2,a16,a2,a17)+~P1(a18,a2,a16)),
% 131.11/131.75 inference(scs_inference,[],[357,234,252,253,251])).
% 131.11/131.75 cnf(556,plain,
% 131.11/131.75 (~P9(a18,a2,a18,a17,a16,a2,a16,a17)+~P1(a18,a16,a2)),
% 131.11/131.75 inference(scs_inference,[],[262,234,251])).
% 131.11/131.75 cnf(558,plain,
% 131.11/131.75 (~P9(a17,a18,a18,a2,a16,a17,a16,a2)+~P1(a18,a16,a2)),
% 131.11/131.75 inference(scs_inference,[],[262,234,251,252])).
% 131.11/131.75 cnf(560,plain,
% 131.11/131.75 (~P9(a18,a17,a16,a17,a18,a2,a16,a2)+~P1(a18,a16,a2)),
% 131.11/131.75 inference(scs_inference,[],[262,234,251,252,253])).
% 131.11/131.75 cnf(573,plain,
% 131.11/131.75 (~P9(a2,a17,a2,a16,a18,a17,a18,a16)+~P1(a2,a18,a16)),
% 131.11/131.75 inference(scs_inference,[],[322,234])).
% 131.11/131.75 cnf(575,plain,
% 131.11/131.75 (~P9(a17,a2,a2,a16,a18,a17,a18,a16)+~P1(a2,a18,a16)),
% 131.11/131.75 inference(scs_inference,[],[322,234,252])).
% 131.11/131.75 cnf(577,plain,
% 131.11/131.75 (~P9(a2,a17,a18,a17,a2,a16,a18,a16)+~P1(a2,a18,a16)),
% 131.11/131.75 inference(scs_inference,[],[322,234,252,253])).
% 131.11/131.75 cnf(579,plain,
% 131.11/131.75 (~P9(a2,a16,a2,a17,a18,a16,a18,a17)+~P1(a2,a18,a16)),
% 131.11/131.75 inference(scs_inference,[],[322,234,252,253,251])).
% 131.11/131.75 cnf(631,plain,
% 131.11/131.75 (P1(a2,a16,a1)),
% 131.11/131.75 inference(scs_inference,[],[142,149,150])).
% 131.11/131.75 cnf(632,plain,
% 131.11/131.75 (P1(a1,a1,a2)),
% 131.11/131.75 inference(scs_inference,[],[631,153])).
% 131.11/131.75 cnf(645,plain,
% 131.11/131.75 (P1(a2,a2,a1)),
% 131.11/131.75 inference(scs_inference,[],[632,153])).
% 131.11/131.75 cnf(662,plain,
% 131.11/131.75 (~P9(a17,a16,a16,a18,a2,a17,a2,a18)+~P1(a16,a2,a18)),
% 131.11/131.75 inference(scs_inference,[],[390,234,252])).
% 131.11/131.75 cnf(664,plain,
% 131.11/131.75 (~P9(a16,a17,a2,a17,a16,a18,a2,a18)+~P1(a16,a2,a18)),
% 131.11/131.75 inference(scs_inference,[],[390,234,252,253])).
% 131.11/131.75 cnf(736,plain,
% 131.11/131.75 (P5(x7361,x7362,x7361,x7363)+~P7(x7361,x7363,x7362)),
% 131.11/131.75 inference(scs_inference,[],[152,154])).
% 131.11/131.75 cnf(738,plain,
% 131.11/131.75 (~P2(x7381,x7382,a2,a16)+~P9(x7382,a2,x7382,a16,x7381,a2,x7381,a1)+P5(a1,a16,a1,a2)),
% 131.11/131.75 inference(scs_inference,[],[142,736,237])).
% 131.11/131.75 cnf(741,plain,
% 131.11/131.75 (P8(a16,a16,a16,a1,a16,a16,a16,a1)+~P10(a1,a1,a16,a16)),
% 131.11/131.75 inference(scs_inference,[],[268,161,226])).
% 131.11/131.75 cnf(743,plain,
% 131.11/131.75 (P5(x7431,x7432,x7433,x7434)+~P5(x7434,x7433,x7431,x7432)),
% 131.11/131.75 inference(scs_inference,[],[165,166])).
% 131.11/131.75 cnf(746,plain,
% 131.11/131.75 (P1(a3,x7461,a16)+~P3(a3,x7461,a18,a1)),
% 131.11/131.75 inference(scs_inference,[],[310,158])).
% 131.11/131.75 cnf(747,plain,
% 131.11/131.75 (P1(x7471,a3,a16)+~P3(a3,x7471,a18,a1)),
% 131.11/131.75 inference(scs_inference,[],[746,149])).
% 131.11/131.75 cnf(748,plain,
% 131.11/131.75 (P1(x7481,a16,a3)+~P3(a3,x7481,a18,a1)),
% 131.11/131.75 inference(scs_inference,[],[747,150])).
% 131.11/131.75 cnf(749,plain,
% 131.11/131.75 (P1(a16,x7491,a3)+~P3(a3,x7491,a18,a1)),
% 131.11/131.75 inference(scs_inference,[],[748,149])).
% 131.11/131.75 cnf(750,plain,
% 131.11/131.75 (P1(a16,a3,x7501)+~P3(a3,x7501,a18,a1)),
% 131.11/131.75 inference(scs_inference,[],[749,150])).
% 131.11/131.75 cnf(751,plain,
% 131.11/131.75 (P1(a3,a16,x7511)+~P3(a3,x7511,a18,a1)),
% 131.11/131.75 inference(scs_inference,[],[750,149])).
% 131.11/131.75 cnf(752,plain,
% 131.11/131.75 (P1(x7521,a16,x7522)+~E(a3,x7521)+~P3(a3,x7522,a18,a1)),
% 131.11/131.75 inference(scs_inference,[],[751,88])).
% 131.11/131.75 cnf(754,plain,
% 131.11/131.75 (P10(a3,a2,x7541,x7542)+~P3(x7541,x7542,a17,a1)),
% 131.11/131.75 inference(scs_inference,[],[328,161])).
% 131.11/131.75 cnf(755,plain,
% 131.11/131.75 (P5(x7551,x7552,x7553,x7554)+~P6(x7554,x7553,x7555,x7551,x7552,x7556)),
% 131.11/131.75 inference(scs_inference,[],[743,200])).
% 131.11/131.75 cnf(756,plain,
% 131.11/131.75 (P10(a3,a2,a3,a2)),
% 131.11/131.75 inference(scs_inference,[],[146,754,163])).
% 131.11/131.75 cnf(761,plain,
% 131.11/131.75 (~P10(a3,a2,a17,a1)+P3(a3,a2,a3,a2)),
% 131.11/131.75 inference(scs_inference,[],[146,756,180,239,223])).
% 131.11/131.75 cnf(790,plain,
% 131.11/131.75 (~P7(x7901,a3,a3)+P7(x7901,a2,a2)),
% 131.11/131.75 inference(scs_inference,[],[756,173])).
% 131.11/131.75 cnf(793,plain,
% 131.11/131.75 (P8(x7931,a3,a3,a3,x7931,a2,a2,a2)+~P1(x7931,a2,a2)+~P1(x7931,a3,a3)),
% 131.11/131.75 inference(scs_inference,[],[756,226])).
% 131.11/131.75 cnf(804,plain,
% 131.11/131.75 (P1(x8041,a2,a2)+~P7(x8041,a3,a3)),
% 131.11/131.75 inference(scs_inference,[],[790,151])).
% 131.11/131.75 cnf(820,plain,
% 131.11/131.75 (~P7(x8201,x8202,x8203)+~P10(x8202,a3,x8203,a3)+P1(x8201,a2,a2)),
% 131.11/131.75 inference(scs_inference,[],[804,173])).
% 131.11/131.75 cnf(836,plain,
% 131.11/131.75 (P3(a3,a2,a2,a3)+~P10(a3,a2,a17,a1)),
% 131.11/131.75 inference(scs_inference,[],[761,164])).
% 131.11/131.75 cnf(852,plain,
% 131.11/131.75 (P3(a2,a3,a3,a2)+~P10(a3,a2,a17,a1)),
% 131.11/131.75 inference(scs_inference,[],[836,163])).
% 131.11/131.75 cnf(868,plain,
% 131.11/131.75 (P3(a2,a3,a2,a3)+~P10(a3,a2,a17,a1)),
% 131.11/131.75 inference(scs_inference,[],[852,164])).
% 131.11/131.75 cnf(884,plain,
% 131.11/131.75 (P1(f5(a2,a2,a3),a3,a2)+~P10(a3,a2,a17,a1)),
% 131.11/131.75 inference(scs_inference,[],[868,175])).
% 131.11/131.75 cnf(1410,plain,
% 131.11/131.75 (P5(x14101,x14102,x14103,x14104)+~P6(x14102,x14101,x14105,x14103,x14104,x14106)),
% 131.11/131.75 inference(scs_inference,[],[755,165])).
% 131.11/131.75 cnf(1426,plain,
% 131.11/131.75 (P1(a3,f5(a2,a2,a3),a2)+~P10(a3,a2,a17,a1)),
% 131.11/131.75 inference(scs_inference,[],[884,149])).
% 131.11/131.75 cnf(1666,plain,
% 131.11/131.75 (P5(x16661,x16662,x16663,x16664)+~P6(x16662,x16661,x16665,x16664,x16663,x16666)),
% 131.11/131.75 inference(scs_inference,[],[1410,166])).
% 131.11/131.75 cnf(1682,plain,
% 131.11/131.75 (P1(a3,a2,f5(a2,a2,a3))+~P10(a3,a2,a17,a1)),
% 131.11/131.75 inference(scs_inference,[],[1426,150])).
% 131.11/131.75 cnf(1922,plain,
% 131.11/131.75 (P1(a2,a3,f5(a2,a2,a3))+~P10(a3,a2,a17,a1)),
% 131.11/131.75 inference(scs_inference,[],[1682,149])).
% 131.11/131.75 cnf(2114,plain,
% 131.11/131.75 (P1(a2,f5(a2,a2,a3),a3)+~P10(a3,a2,a17,a1)),
% 131.11/131.75 inference(scs_inference,[],[1922,150])).
% 131.11/131.75 cnf(2194,plain,
% 131.11/131.75 (P1(f5(a2,a2,a3),a2,a3)+~P10(a3,a2,a17,a1)),
% 131.11/131.75 inference(scs_inference,[],[2114,149])).
% 131.11/131.75 cnf(2258,plain,
% 131.11/131.75 (P1(a3,a3,f5(a2,a2,a3))+~P10(a3,a2,a17,a1)),
% 131.11/131.75 inference(scs_inference,[],[2194,153])).
% 131.11/131.75 cnf(2322,plain,
% 131.11/131.75 (P1(a3,f5(a2,a2,a3),a3)+~P10(a3,a2,a17,a1)),
% 131.11/131.75 inference(scs_inference,[],[2258,150])).
% 131.11/131.75 cnf(2354,plain,
% 131.11/131.75 (P1(f5(a2,a2,a3),a3,a3)+~P10(a3,a2,a17,a1)),
% 131.11/131.75 inference(scs_inference,[],[2322,149])).
% 131.11/131.75 cnf(2370,plain,
% 131.11/131.75 (~P10(a3,a3,a3,a3)+P8(f5(a2,a2,a3),a3,a3,a3,f5(a2,a2,a3),a3,a3,a3)+~P10(a3,a2,a17,a1)),
% 131.11/131.75 inference(scs_inference,[],[2354,226])).
% 131.11/131.75 cnf(4287,plain,
% 131.11/131.75 (P3(a3,a2,a17,a1)),
% 131.11/131.75 inference(scs_inference,[],[146,163])).
% 131.11/131.75 cnf(4289,plain,
% 131.11/131.75 (P10(a17,a1,a17,a1)),
% 131.11/131.75 inference(scs_inference,[],[146,163,178])).
% 131.11/131.75 cnf(4291,plain,
% 131.11/131.75 (P9(a3,a2,x42911,x42912,a3,a2,x42911,x42912)),
% 131.11/131.75 inference(scs_inference,[],[146,756,163,178,223])).
% 131.11/131.75 cnf(4293,plain,
% 131.11/131.75 (P3(a17,a1,a2,a3)),
% 131.11/131.75 inference(scs_inference,[],[146,756,163,178,223,164])).
% 131.11/131.75 cnf(4301,plain,
% 131.11/131.75 (P3(a18,a1,a16,a3)),
% 131.11/131.75 inference(scs_inference,[],[147,4289,223,164])).
% 131.11/131.75 cnf(4303,plain,
% 131.11/131.75 (P3(a3,a16,a18,a1)),
% 131.11/131.75 inference(scs_inference,[],[147,4289,223,164,163])).
% 131.11/131.75 cnf(4305,plain,
% 131.11/131.75 (P10(a3,a16,a3,a16)),
% 131.11/131.75 inference(scs_inference,[],[147,4289,223,164,163,178])).
% 131.11/131.75 cnf(4307,plain,
% 131.11/131.75 (P1(a3,a16,a16)),
% 131.11/131.75 inference(scs_inference,[],[147,4289,223,164,163,178,746])).
% 131.11/131.75 cnf(4309,plain,
% 131.11/131.75 (P1(a16,a3,a16)),
% 131.11/131.75 inference(scs_inference,[],[147,4289,223,164,163,178,746,747])).
% 131.11/131.75 cnf(4311,plain,
% 131.11/131.75 (P1(a16,a16,a3)),
% 131.11/131.75 inference(scs_inference,[],[147,4289,223,164,163,178,746,747,748])).
% 131.11/131.75 cnf(4315,plain,
% 131.11/131.75 (P1(a16,a16,a16)),
% 131.11/131.75 inference(scs_inference,[],[147,4289,223,164,163,178,746,747,748,752,153])).
% 131.11/131.75 cnf(4317,plain,
% 131.11/131.75 (P1(a17,a1,a1)),
% 131.11/131.75 inference(scs_inference,[],[147,4289,223,164,163,178,746,747,748,752,153,158])).
% 131.11/131.75 cnf(4335,plain,
% 131.11/131.75 (P8(a17,a17,a17,a17,a17,a1,a1,a1)+~P1(a17,a17,a17)),
% 131.11/131.75 inference(scs_inference,[],[147,4287,4289,4291,223,164,163,178,746,747,748,752,153,158,104,116,105,106,103,89,117,90,115,114,113,88,259,226])).
% 131.11/131.75 cnf(4352,plain,
% 131.11/131.75 (P1(a3,a2,a2)),
% 131.11/131.75 inference(scs_inference,[],[4305,756,223,158])).
% 131.11/131.75 cnf(4354,plain,
% 131.11/131.75 (P3(a2,a16,a1,a3)),
% 131.11/131.75 inference(scs_inference,[],[145,4305,756,223,158,163])).
% 131.11/131.75 cnf(4356,plain,
% 131.11/131.75 (P3(a1,a3,a16,a2)),
% 131.11/131.75 inference(scs_inference,[],[145,4305,756,223,158,163,164])).
% 131.11/131.75 cnf(4360,plain,
% 131.11/131.75 (P10(a2,a16,a2,a16)),
% 131.11/131.75 inference(scs_inference,[],[145,4311,4305,756,223,158,163,164,153,178])).
% 131.11/131.75 cnf(4362,plain,
% 131.11/131.75 (P1(a1,a16,a2)),
% 131.11/131.75 inference(scs_inference,[],[145,142,4311,4305,756,223,158,163,164,153,178,150])).
% 131.11/131.75 cnf(4365,plain,
% 131.11/131.75 (P1(a2,a1,a16)),
% 131.11/131.75 inference(scs_inference,[],[145,142,4303,4311,4305,756,223,158,163,164,153,178,150,104,149])).
% 131.11/131.75 cnf(4384,plain,
% 131.11/131.75 (P1(a18,a16,a3)),
% 131.11/131.76 inference(scs_inference,[],[144,149,150])).
% 131.11/131.76 cnf(4386,plain,
% 131.11/131.76 (P3(a2,a3,a17,a1)),
% 131.11/131.76 inference(scs_inference,[],[144,4293,149,150,163])).
% 131.11/131.76 cnf(4390,plain,
% 131.11/131.76 (P1(a2,a16,a16)),
% 131.11/131.76 inference(scs_inference,[],[144,4360,4293,149,150,163,223,158])).
% 131.11/131.76 cnf(4392,plain,
% 131.11/131.76 (P3(a3,a16,a1,a18)),
% 131.11/131.76 inference(scs_inference,[],[144,4303,4360,4293,149,150,163,223,158,164])).
% 131.11/131.76 cnf(4394,plain,
% 131.11/131.76 (P1(a16,a16,a2)),
% 131.11/131.76 inference(scs_inference,[],[144,4303,4360,4293,4365,149,150,163,223,158,164,153])).
% 131.11/131.76 cnf(4396,plain,
% 131.11/131.76 (P10(a18,a1,a18,a1)),
% 131.11/131.76 inference(scs_inference,[],[147,144,4303,4360,4293,4365,149,150,163,223,158,164,153,178])).
% 131.11/131.76 cnf(4398,plain,
% 131.11/131.76 (P10(a3,a2,a2,a3)),
% 131.11/131.76 inference(scs_inference,[],[147,144,4303,4360,4293,4365,149,150,163,223,158,164,153,178,754])).
% 131.11/131.76 cnf(4401,plain,
% 131.11/131.76 (P10(a2,a3,a3,a2)),
% 131.11/131.76 inference(scs_inference,[],[147,144,4303,4360,4293,4365,149,150,163,223,158,164,153,178,754,104,161])).
% 131.11/131.76 cnf(4408,plain,
% 131.11/131.76 (P3(a16,a3,a18,a1)),
% 131.11/131.76 inference(scs_inference,[],[4301,163])).
% 131.11/131.76 cnf(4410,plain,
% 131.11/131.76 (P1(a3,a17,a2)),
% 131.11/131.76 inference(scs_inference,[],[143,4301,163,149])).
% 131.11/131.76 cnf(4412,plain,
% 131.11/131.76 (P1(a17,a2,a3)),
% 131.11/131.76 inference(scs_inference,[],[143,4301,163,149,150])).
% 131.11/131.76 cnf(4416,plain,
% 131.11/131.76 (P1(a18,a1,a1)),
% 131.11/131.76 inference(scs_inference,[],[143,4301,4396,163,149,150,223,158])).
% 131.11/131.76 cnf(4418,plain,
% 131.11/131.76 (P3(a3,a2,a1,a17)),
% 131.11/131.76 inference(scs_inference,[],[143,4287,4301,4396,163,149,150,223,158,164])).
% 131.11/131.76 cnf(4420,plain,
% 131.11/131.76 (P1(a3,a3,a18)),
% 131.11/131.76 inference(scs_inference,[],[143,4287,4301,4384,4396,163,149,150,223,158,164,153])).
% 131.11/131.76 cnf(4422,plain,
% 131.11/131.76 (P10(a1,a3,a1,a3)),
% 131.11/131.76 inference(scs_inference,[],[145,143,4287,4354,4301,4384,4396,163,149,150,223,158,164,153,178])).
% 131.11/131.76 cnf(4424,plain,
% 131.11/131.76 (P8(a17,a3,a3,a2,a17,a2,a2,a3)),
% 131.11/131.76 inference(scs_inference,[],[145,143,4287,4354,4301,4384,4396,4398,163,149,150,223,158,164,153,178,226])).
% 131.11/131.76 cnf(4426,plain,
% 131.11/131.76 (~P8(x44261,x44262,x44263,x44264,a17,a3,a3,a2)+P8(x44261,x44262,x44263,x44264,a17,a2,a2,a3)),
% 131.11/131.76 inference(scs_inference,[],[145,143,4287,4354,4301,4384,4396,4398,163,149,150,223,158,164,153,178,226,261])).
% 131.11/131.76 cnf(4472,plain,
% 131.11/131.76 (P3(a16,a2,a1,a3)),
% 131.11/131.76 inference(scs_inference,[],[4356,163])).
% 131.11/131.76 cnf(4474,plain,
% 131.11/131.76 (P1(a2,a17,a2)),
% 131.11/131.76 inference(scs_inference,[],[288,4356,163,150])).
% 131.11/131.76 cnf(4476,plain,
% 131.11/131.76 (P1(a16,a1,a2)),
% 131.11/131.76 inference(scs_inference,[],[288,4356,4362,163,150,149])).
% 131.11/131.76 cnf(4478,plain,
% 131.11/131.76 (P1(a1,a3,a3)),
% 131.11/131.76 inference(scs_inference,[],[288,4356,4362,4422,163,150,149,158])).
% 131.11/131.76 cnf(4482,plain,
% 131.11/131.76 (P3(a2,a3,a1,a17)),
% 131.11/131.76 inference(scs_inference,[],[288,4386,4356,4362,4422,163,150,149,158,223,164])).
% 131.11/131.76 cnf(4486,plain,
% 131.11/131.76 (P10(a2,a16,a16,a2)),
% 131.11/131.76 inference(scs_inference,[],[288,4386,4356,4362,4394,4422,4354,163,150,149,158,223,164,153,178])).
% 131.11/131.76 cnf(4488,plain,
% 131.11/131.76 (P8(a17,a2,a2,a3,a17,a3,a3,a2)),
% 131.11/131.76 inference(scs_inference,[],[143,288,4386,4356,4362,4394,4412,4422,4354,4401,163,150,149,158,223,164,153,178,226])).
% 131.11/131.76 cnf(4490,plain,
% 131.11/131.76 (P10(a16,a2,a2,a16)),
% 131.11/131.76 inference(scs_inference,[],[143,288,4386,4356,4362,4394,4412,4422,4354,4401,163,150,149,158,223,164,153,178,226,161])).
% 131.11/131.76 cnf(4530,plain,
% 131.11/131.76 (P3(a1,a18,a3,a16)),
% 131.11/131.76 inference(scs_inference,[],[4392,4474,149,163])).
% 131.11/131.76 cnf(4532,plain,
% 131.11/131.76 (P1(a16,a18,a16)),
% 131.11/131.76 inference(scs_inference,[],[304,4392,4474,149,163,150])).
% 131.11/131.76 cnf(4534,plain,
% 131.11/131.76 (P9(a2,a16,x45341,x45342,a16,a2,x45341,x45342)),
% 131.11/131.76 inference(scs_inference,[],[304,4392,4474,4486,149,163,150,223])).
% 131.11/131.76 cnf(4536,plain,
% 131.11/131.76 (P3(a16,a2,a3,a1)),
% 131.11/131.76 inference(scs_inference,[],[304,4392,4472,4474,4486,149,163,150,223,164])).
% 131.11/131.76 cnf(4540,plain,
% 131.11/131.76 (P1(a2,a2,a3)),
% 131.11/131.76 inference(scs_inference,[],[304,4424,4488,4392,4472,4410,4474,4486,149,163,150,223,164,261,153])).
% 131.11/131.76 cnf(4542,plain,
% 131.11/131.76 (P10(a18,a1,a1,a18)),
% 131.11/131.76 inference(scs_inference,[],[147,304,4424,4488,4392,4472,4410,4474,4486,149,163,150,223,164,261,153,178])).
% 131.11/131.76 cnf(4544,plain,
% 131.11/131.76 (P8(a1,a16,a16,a2,a1,a2,a2,a16)),
% 131.11/131.76 inference(scs_inference,[],[147,142,304,4424,4488,4392,4472,4410,4474,4486,4362,4490,149,163,150,223,164,261,153,178,226])).
% 131.11/131.76 cnf(4546,plain,
% 131.11/131.76 (P10(a1,a18,a18,a1)),
% 131.11/131.76 inference(scs_inference,[],[147,142,304,4424,4488,4392,4472,4410,4474,4486,4362,4490,149,163,150,223,164,261,153,178,226,161])).
% 131.11/131.76 cnf(4594,plain,
% 131.11/131.76 (P1(a1,a16,a1)),
% 131.11/131.76 inference(scs_inference,[],[324,4532,149,150])).
% 131.11/131.76 cnf(4596,plain,
% 131.11/131.76 (P3(a1,a17,a3,a2)),
% 131.11/131.76 inference(scs_inference,[],[324,4418,4532,149,150,163])).
% 131.11/131.76 cnf(4600,plain,
% 131.11/131.76 (P3(a1,a18,a16,a3)),
% 131.11/131.76 inference(scs_inference,[],[324,4418,4530,4532,4542,149,150,163,223,164])).
% 131.11/131.76 cnf(4602,plain,
% 131.11/131.76 (P3(a2,a16,a3,a1)),
% 131.11/131.76 inference(scs_inference,[],[324,4486,4418,4530,4532,4536,4542,149,150,163,223,164,180])).
% 131.11/131.76 cnf(4604,plain,
% 131.11/131.76 (P1(a18,a18,a3)),
% 131.11/131.76 inference(scs_inference,[],[324,4486,4418,4530,4420,4532,4536,4542,149,150,163,223,164,180,153])).
% 131.11/131.76 cnf(4606,plain,
% 131.11/131.76 (P10(a17,a1,a1,a17)),
% 131.11/131.76 inference(scs_inference,[],[146,324,4486,4418,4530,4420,4532,4536,4542,149,150,163,223,164,180,153,178])).
% 131.11/131.76 cnf(4608,plain,
% 131.11/131.76 (P10(a1,a17,a17,a1)),
% 131.11/131.76 inference(scs_inference,[],[146,324,4486,4418,4530,4420,4532,4536,4542,149,150,163,223,164,180,153,178,161])).
% 131.11/131.76 cnf(4655,plain,
% 131.11/131.76 (P3(a1,a17,a2,a3)),
% 131.11/131.76 inference(scs_inference,[],[4482,163])).
% 131.11/131.76 cnf(4657,plain,
% 131.11/131.76 (P1(a16,a1,a1)),
% 131.11/131.76 inference(scs_inference,[],[4482,4594,163,149])).
% 131.11/131.76 cnf(4659,plain,
% 131.11/131.76 (P1(a17,a2,a17)),
% 131.11/131.76 inference(scs_inference,[],[344,4482,4594,163,149,150])).
% 131.11/131.76 cnf(4663,plain,
% 131.11/131.76 (P3(a16,a3,a1,a18)),
% 131.11/131.76 inference(scs_inference,[],[344,4482,4408,4594,4606,163,149,150,223,164])).
% 131.11/131.76 cnf(4665,plain,
% 131.11/131.76 (P1(a3,a3,a2)),
% 131.11/131.76 inference(scs_inference,[],[344,4482,4408,4540,4594,4606,163,149,150,223,164,153])).
% 131.11/131.76 cnf(4667,plain,
% 131.11/131.76 (P10(a3,a16,a16,a3)),
% 131.11/131.76 inference(scs_inference,[],[344,4482,4408,4540,4594,4600,4606,4392,163,149,150,223,164,153,178])).
% 131.11/131.76 cnf(4671,plain,
% 131.11/131.76 (P10(a16,a3,a3,a16)),
% 131.11/131.76 inference(scs_inference,[],[344,4309,4482,4408,4540,4594,4600,4606,4311,4392,163,149,150,223,164,153,178,226,161])).
% 131.11/131.76 cnf(4720,plain,
% 131.11/131.76 (P1(a18,a16,a18)),
% 131.11/131.76 inference(scs_inference,[],[363,4602,163,150])).
% 131.11/131.76 cnf(4722,plain,
% 131.11/131.76 (P1(a2,a17,a17)),
% 131.11/131.76 inference(scs_inference,[],[363,4602,4659,163,150,149])).
% 131.11/131.76 cnf(4724,plain,
% 131.11/131.76 (P3(a3,a1,a16,a2)),
% 131.11/131.76 inference(scs_inference,[],[363,4602,4659,163,150,149,164])).
% 131.11/131.76 cnf(4728,plain,
% 131.11/131.76 (P1(a17,a17,a17)),
% 131.11/131.76 inference(scs_inference,[],[363,4602,4659,4667,163,150,149,164,223,153])).
% 131.11/131.76 cnf(4730,plain,
% 131.11/131.76 (P10(a1,a3,a3,a1)),
% 131.11/131.76 inference(scs_inference,[],[145,363,4602,4659,4667,163,150,149,164,223,153,178])).
% 131.11/131.76 cnf(4732,plain,
% 131.11/131.76 (P8(a18,a3,a3,a16,a18,a16,a16,a3)),
% 131.11/131.76 inference(scs_inference,[],[145,144,363,4602,4659,4667,4384,163,150,149,164,223,153,178,226])).
% 131.11/131.76 cnf(4734,plain,
% 131.11/131.76 (P8(a17,a17,a17,a17,a17,a1,a1,a1)),
% 131.11/131.76 inference(scs_inference,[],[145,144,363,4602,4659,4667,4384,163,150,149,164,223,153,178,226,4335])).
% 131.11/131.76 cnf(4735,plain,
% 131.11/131.76 (P10(a3,a1,a1,a3)),
% 131.11/131.76 inference(scs_inference,[],[145,144,363,4602,4659,4667,4384,163,150,149,164,223,153,178,226,4335,161])).
% 131.11/131.76 cnf(4784,plain,
% 131.11/131.76 (P1(a16,a1,a16)),
% 131.11/131.76 inference(scs_inference,[],[268,4720,149,150])).
% 131.11/131.76 cnf(4788,plain,
% 131.11/131.76 (P1(a18,a18,a18)),
% 131.11/131.76 inference(scs_inference,[],[268,4720,4730,149,150,223,153])).
% 131.11/131.76 cnf(4790,plain,
% 131.11/131.76 (P10(a2,a3,a2,a3)),
% 131.11/131.76 inference(scs_inference,[],[268,4655,4720,4730,4482,149,150,223,153,178])).
% 131.11/131.76 cnf(4794,plain,
% 131.11/131.76 (P1(a2,a3,a3)),
% 131.11/131.76 inference(scs_inference,[],[268,4396,4655,4720,4730,4657,4482,149,150,223,153,178,226,158])).
% 131.11/131.76 cnf(4796,plain,
% 131.11/131.76 (~P8(x47961,x47962,x47963,x47964,a17,a17,a17,a17)+P8(x47961,x47962,x47963,x47964,a17,a1,a1,a1)),
% 131.11/131.76 inference(scs_inference,[],[268,4396,4734,4655,4720,4730,4657,4482,149,150,223,153,178,226,158,261])).
% 131.11/131.76 cnf(4839,plain,
% 131.11/131.76 (P1(a1,a16,a16)),
% 131.11/131.76 inference(scs_inference,[],[4784,149])).
% 131.11/131.76 cnf(4841,plain,
% 131.11/131.76 (P1(a2,a1,a2)),
% 131.11/131.76 inference(scs_inference,[],[645,4784,149,150])).
% 131.11/131.76 cnf(4843,plain,
% 131.11/131.76 (P9(a2,a3,x48431,x48432,a2,a3,x48431,x48432)),
% 131.11/131.76 inference(scs_inference,[],[645,4784,4790,149,150,223])).
% 131.11/131.76 cnf(4845,plain,
% 131.11/131.76 (P1(a2,a2,a2)),
% 131.11/131.76 inference(scs_inference,[],[645,4784,4790,4474,149,150,223,153])).
% 131.11/131.76 cnf(4847,plain,
% 131.11/131.76 (P10(a16,a2,a16,a2)),
% 131.11/131.76 inference(scs_inference,[],[645,4724,4536,4784,4790,4474,149,150,223,153,178])).
% 131.11/131.76 cnf(4849,plain,
% 131.11/131.76 (P8(a18,a16,a16,a3,a18,a3,a3,a16)),
% 131.11/131.76 inference(scs_inference,[],[144,645,4724,4536,4784,4790,4474,4384,4671,149,150,223,153,178,226])).
% 131.11/131.76 cnf(4851,plain,
% 131.11/131.76 (P1(a16,a2,a2)),
% 131.11/131.76 inference(scs_inference,[],[144,645,4724,4536,4784,4790,4474,4384,4671,149,150,223,153,178,226,158])).
% 131.11/131.76 cnf(4899,plain,
% 131.11/131.76 (P1(a1,a2,a2)),
% 131.11/131.76 inference(scs_inference,[],[4841,149])).
% 131.11/131.76 cnf(4903,plain,
% 131.11/131.76 (P1(a1,a2,a1)),
% 131.11/131.76 inference(scs_inference,[],[632,4841,4847,149,223,150])).
% 131.11/131.76 cnf(4907,plain,
% 131.11/131.76 (P1(a3,a3,a17)),
% 131.11/131.76 inference(scs_inference,[],[632,4841,4847,4849,4412,4732,149,223,150,261,153])).
% 131.11/131.76 cnf(4909,plain,
% 131.11/131.76 (P10(a16,a3,a16,a3)),
% 131.11/131.76 inference(scs_inference,[],[632,4600,4663,4841,4847,4849,4412,4732,149,223,150,261,153,178])).
% 131.11/131.76 cnf(4911,plain,
% 131.11/131.76 (P8(a1,a2,a2,a2,a1,a3,a3,a3)),
% 131.11/131.76 inference(scs_inference,[],[632,4600,4663,4790,4841,4847,4849,4412,4732,4478,149,223,150,261,153,178,226])).
% 131.11/131.76 cnf(4913,plain,
% 131.11/131.76 (P1(a16,a3,a3)),
% 131.11/131.76 inference(scs_inference,[],[632,4600,4663,4790,4841,4847,4849,4412,4732,4478,149,223,150,261,153,178,226,158])).
% 131.11/131.76 cnf(4958,plain,
% 131.11/131.76 (P1(a2,a1,a1)),
% 131.11/131.76 inference(scs_inference,[],[4903,149])).
% 131.11/131.76 cnf(4960,plain,
% 131.11/131.76 (P1(a18,a3,a18)),
% 131.11/131.76 inference(scs_inference,[],[4604,4903,149,150])).
% 131.11/131.76 cnf(4964,plain,
% 131.11/131.76 (P1(a1,a1,a1)),
% 131.11/131.76 inference(scs_inference,[],[4604,4903,4909,149,150,223,153])).
% 131.11/131.76 cnf(4966,plain,
% 131.11/131.76 (P10(a3,a1,a3,a1)),
% 131.11/131.76 inference(scs_inference,[],[4724,4536,4604,4903,4909,149,150,223,153,178])).
% 131.11/131.76 cnf(4968,plain,
% 131.11/131.76 (P8(a1,a3,a3,a3,a1,a16,a16,a16)),
% 131.11/131.76 inference(scs_inference,[],[4305,4724,4536,4604,4839,4903,4909,4478,149,150,223,153,178,226])).
% 131.11/131.76 cnf(4970,plain,
% 131.11/131.76 (P1(a3,a1,a1)),
% 131.11/131.76 inference(scs_inference,[],[4305,4724,4536,4604,4839,4903,4909,4478,149,150,223,153,178,226,158])).
% 131.11/131.76 cnf(5017,plain,
% 131.11/131.76 (P1(a3,a18,a18)),
% 131.11/131.76 inference(scs_inference,[],[4960,149])).
% 131.11/131.76 cnf(5019,plain,
% 131.11/131.76 (P9(a3,a1,x50191,x50192,a3,a1,x50191,x50192)),
% 131.11/131.76 inference(scs_inference,[],[4960,4966,149,223])).
% 131.11/131.76 cnf(5021,plain,
% 131.11/131.76 (P1(a3,a2,a3)),
% 131.11/131.76 inference(scs_inference,[],[4665,4960,4966,149,223,150])).
% 131.11/131.76 cnf(5025,plain,
% 131.11/131.76 (P1(a17,a17,a3)),
% 131.11/131.76 inference(scs_inference,[],[4665,4907,4960,4966,4968,4911,149,223,150,261,153])).
% 131.11/131.76 cnf(5027,plain,
% 131.11/131.76 (P10(a1,a17,a1,a17)),
% 131.11/131.76 inference(scs_inference,[],[4655,4482,4665,4907,4960,4966,4968,4911,149,223,150,261,153,178])).
% 131.11/131.76 cnf(5029,plain,
% 131.11/131.76 (P8(a2,a17,a17,a17,a2,a1,a1,a1)),
% 131.11/131.76 inference(scs_inference,[],[4289,4655,4482,4665,4722,4907,4958,4960,4966,4968,4911,149,223,150,261,153,178,226])).
% 131.11/131.76 cnf(5031,plain,
% 131.11/131.76 (P1(a1,a17,a17)),
% 131.11/131.76 inference(scs_inference,[],[4289,4655,4482,4665,4722,4907,4958,4960,4966,4968,4911,149,223,150,261,153,178,226,158])).
% 131.11/131.76 cnf(5076,plain,
% 131.11/131.76 (P1(a2,a17,a3)),
% 131.11/131.76 inference(scs_inference,[],[4412,149])).
% 131.11/131.76 cnf(5078,plain,
% 131.11/131.76 (P1(a17,a3,a17)),
% 131.11/131.76 inference(scs_inference,[],[5025,4412,149,150])).
% 131.11/131.76 cnf(5082,plain,
% 131.11/131.76 (P1(a3,a3,a3)),
% 131.11/131.76 inference(scs_inference,[],[5021,5025,5027,4412,149,150,223,153])).
% 131.11/131.76 cnf(5084,plain,
% 131.11/131.76 (P10(a1,a18,a1,a18)),
% 131.11/131.76 inference(scs_inference,[],[4600,4663,5021,5025,5027,4412,149,150,223,153,178])).
% 131.11/131.76 cnf(5086,plain,
% 131.11/131.76 (P8(a1,a17,a17,a17,a1,a1,a1,a1)),
% 131.11/131.76 inference(scs_inference,[],[4289,4600,4663,4964,5021,5025,5027,4412,5031,149,150,223,153,178,226])).
% 131.11/131.76 cnf(5088,plain,
% 131.11/131.76 (P1(a1,a18,a18)),
% 131.11/131.76 inference(scs_inference,[],[4289,4600,4663,4964,5021,5025,5027,4412,5031,149,150,223,153,178,226,158])).
% 131.11/131.76 cnf(5090,plain,
% 131.11/131.76 (~P8(x50901,x50902,x50903,x50904,a2,a17,a17,a17)+P8(x50901,x50902,x50903,x50904,a2,a1,a1,a1)),
% 131.11/131.76 inference(scs_inference,[],[4289,4600,4663,4964,5021,5025,5027,5029,4412,5031,149,150,223,153,178,226,158,261])).
% 131.11/131.76 cnf(5135,plain,
% 131.11/131.76 (P1(a3,a17,a17)),
% 131.11/131.76 inference(scs_inference,[],[5078,149])).
% 131.11/131.76 cnf(5139,plain,
% 131.11/131.76 (P1(a2,a3,a17)),
% 131.11/131.76 inference(scs_inference,[],[5076,5078,5084,149,223,150])).
% 131.11/131.76 cnf(5141,plain,
% 131.11/131.76 (P1(a1,a1,a3)),
% 131.11/131.76 inference(scs_inference,[],[5076,5078,5084,4970,149,223,150,153])).
% 131.11/131.76 cnf(5143,plain,
% 131.11/131.76 (P8(a3,a1,a1,a1,a3,a3,a3,a3)),
% 131.11/131.76 inference(scs_inference,[],[4422,5076,5078,5082,5084,4970,149,223,150,153,226])).
% 131.11/131.76 cnf(5145,plain,
% 131.11/131.76 (~P8(x51451,x51452,x51453,x51454,a1,a17,a17,a17)+P8(x51451,x51452,x51453,x51454,a1,a1,a1,a1)),
% 131.11/131.76 inference(scs_inference,[],[4422,5076,5078,5082,5084,5086,4970,149,223,150,153,226,261])).
% 131.11/131.76 cnf(5192,plain,
% 131.11/131.76 (P1(a1,a3,a1)),
% 131.11/131.76 inference(scs_inference,[],[5139,5141,149,150])).
% 131.11/131.76 cnf(5196,plain,
% 131.11/131.76 (P1(a3,a3,a1)),
% 131.11/131.76 inference(scs_inference,[],[5139,5141,4401,149,150,223,153])).
% 131.11/131.76 cnf(5198,plain,
% 131.11/131.76 (P8(a1,a18,a18,a18,a1,a1,a1,a1)),
% 131.11/131.76 inference(scs_inference,[],[4396,5139,5141,4964,5088,4401,149,150,223,153,226])).
% 131.11/131.76 cnf(5200,plain,
% 131.11/131.76 (~P8(x52001,x52002,x52003,x52004,a3,a1,a1,a1)+P8(x52001,x52002,x52003,x52004,a3,a3,a3,a3)),
% 131.11/131.76 inference(scs_inference,[],[4396,5139,5141,5143,4964,5088,4401,149,150,223,153,226,261])).
% 131.11/131.76 cnf(5245,plain,
% 131.11/131.76 (P1(a16,a18,a3)),
% 131.11/131.76 inference(scs_inference,[],[4384,149])).
% 131.11/131.76 cnf(5247,plain,
% 131.11/131.76 (P9(a16,a2,x52471,x52472,a2,a16,x52471,x52472)),
% 131.11/131.76 inference(scs_inference,[],[4384,4490,149,223])).
% 131.11/131.76 cnf(5249,plain,
% 131.11/131.76 (P1(a3,a1,a3)),
% 131.11/131.76 inference(scs_inference,[],[5196,4384,4490,149,223,150])).
% 131.11/131.76 cnf(5251,plain,
% 131.11/131.76 (P1(a1,a1,a18)),
% 131.11/131.76 inference(scs_inference,[],[5196,4384,4416,4490,149,223,150,153])).
% 131.11/131.76 cnf(5253,plain,
% 131.11/131.76 (P8(a1,a1,a1,a3,a1,a3,a3,a1)),
% 131.11/131.76 inference(scs_inference,[],[4730,5192,5196,5141,4384,4416,4490,149,223,150,153,226])).
% 131.11/131.76 cnf(5255,plain,
% 131.11/131.76 (~P8(x52551,x52552,x52553,x52554,a1,a18,a18,a18)+P8(x52551,x52552,x52553,x52554,a1,a1,a1,a1)),
% 131.11/131.76 inference(scs_inference,[],[4730,5192,5196,5198,5141,4384,4416,4490,149,223,150,153,226,261])).
% 131.11/131.76 cnf(5300,plain,
% 131.11/131.76 (P1(a2,a3,a2)),
% 131.11/131.76 inference(scs_inference,[],[4352,149])).
% 131.11/131.76 cnf(5304,plain,
% 131.11/131.76 (P1(a16,a3,a18)),
% 131.11/131.76 inference(scs_inference,[],[5245,4352,4546,149,223,150])).
% 131.11/131.76 cnf(5306,plain,
% 131.11/131.76 (P1(a18,a18,a1)),
% 131.11/131.76 inference(scs_inference,[],[5245,5251,4352,4546,149,223,150,153])).
% 131.11/131.76 cnf(5308,plain,
% 131.11/131.76 (P8(a3,a1,a1,a3,a3,a3,a3,a1)),
% 131.11/131.76 inference(scs_inference,[],[4730,5245,5249,5251,5196,4352,4546,149,223,150,153,226])).
% 131.11/131.76 cnf(5310,plain,
% 131.11/131.76 (~P8(x53101,x53102,x53103,x53104,a1,a1,a1,a3)+P8(x53101,x53102,x53103,x53104,a1,a3,a3,a1)),
% 131.11/131.76 inference(scs_inference,[],[4730,5245,5249,5251,5253,5196,4352,4546,149,223,150,153,226,261])).
% 131.11/131.76 cnf(5359,plain,
% 131.11/131.76 (P1(a17,a17,a1)),
% 131.11/131.76 inference(scs_inference,[],[5304,5306,5031,4608,149,223,150,153])).
% 131.11/131.76 cnf(5361,plain,
% 131.11/131.76 (P8(a3,a2,a2,a2,a3,a3,a3,a3)),
% 131.11/131.76 inference(scs_inference,[],[4790,5304,5306,5082,4352,5031,4608,149,223,150,153,226])).
% 131.11/131.76 cnf(5363,plain,
% 131.11/131.76 (~P8(x53631,x53632,x53633,x53634,a3,a1,a1,a3)+P8(x53631,x53632,x53633,x53634,a3,a3,a3,a1)),
% 131.11/131.76 inference(scs_inference,[],[4790,5304,5306,5308,5082,4352,5031,4608,149,223,150,153,226,261])).
% 131.11/131.76 cnf(5407,plain,
% 131.11/131.76 (P1(a16,a2,a16)),
% 131.11/131.76 inference(scs_inference,[],[4390,4671,223,149])).
% 131.11/131.76 cnf(5411,plain,
% 131.11/131.76 (P1(a1,a1,a17)),
% 131.11/131.76 inference(scs_inference,[],[5359,4390,4671,223,149,150,153])).
% 131.11/131.76 cnf(5415,plain,
% 131.11/131.76 (~P8(x54151,x54152,x54153,x54154,a3,a2,a2,a2)+P8(x54151,x54152,x54153,x54154,a3,a3,a3,a3)),
% 131.11/131.76 inference(scs_inference,[],[4486,5359,5361,4394,4390,4671,223,149,150,153,226,261])).
% 131.11/131.76 cnf(5457,plain,
% 131.11/131.76 (P1(a2,a16,a2)),
% 131.11/131.76 inference(scs_inference,[],[4851,149])).
% 131.11/131.76 cnf(5461,plain,
% 131.11/131.76 (P1(a1,a17,a1)),
% 131.11/131.76 inference(scs_inference,[],[5411,4851,4735,149,223,150])).
% 131.11/131.76 cnf(5503,plain,
% 131.11/131.76 (P1(a3,a18,a3)),
% 131.11/131.76 inference(scs_inference,[],[4420,4913,4398,223,149,150])).
% 131.11/131.76 cnf(5541,plain,
% 131.11/131.76 (P1(a18,a3,a3)),
% 131.11/131.76 inference(scs_inference,[],[5503,149])).
% 131.11/131.76 cnf(5543,plain,
% 131.11/131.76 (P1(a3,a17,a3)),
% 131.11/131.76 inference(scs_inference,[],[4907,5503,149,150])).
% 131.11/131.76 cnf(5545,plain,
% 131.11/131.76 (P8(a1,a17,a17,a1,a1,a1,a1,a17)),
% 131.11/131.76 inference(scs_inference,[],[4606,4907,5411,5461,5503,149,150,226])).
% 131.11/131.76 cnf(5579,plain,
% 131.11/131.76 (P1(a17,a3,a3)),
% 131.11/131.76 inference(scs_inference,[],[5543,149])).
% 131.11/131.76 cnf(5657,plain,
% 131.11/131.76 (P8(a1,a2,a2,a16,a1,a16,a16,a2)),
% 131.11/131.76 inference(scs_inference,[],[142,4486,4362,226])).
% 131.11/131.76 cnf(5693,plain,
% 131.11/131.76 (P8(a2,a3,a3,a3,a2,a1,a1,a1)),
% 131.11/131.76 inference(scs_inference,[],[4544,4966,4958,5657,4794,261,226])).
% 131.11/131.76 cnf(5725,plain,
% 131.11/131.76 (P8(a2,a1,a1,a1,a2,a17,a17,a17)),
% 131.11/131.76 inference(scs_inference,[],[5027,4722,4958,226])).
% 131.11/131.76 cnf(5727,plain,
% 131.11/131.76 (~P8(x57271,x57272,x57273,x57274,a2,a3,a3,a3)+P8(x57271,x57272,x57273,x57274,a2,a1,a1,a1)),
% 131.11/131.76 inference(scs_inference,[],[5027,4722,4958,5693,226,261])).
% 131.11/131.76 cnf(5757,plain,
% 131.11/131.76 (P8(a3,a1,a1,a1,a3,a18,a18,a18)),
% 131.11/131.76 inference(scs_inference,[],[5084,5017,5725,5029,4970,261,226])).
% 131.11/131.76 cnf(5785,plain,
% 131.11/131.76 (P8(a2,a3,a3,a3,a2,a17,a17,a17)),
% 131.11/131.76 inference(scs_inference,[],[5693,5725,261])).
% 131.11/131.76 cnf(5894,plain,
% 131.11/131.76 (P8(a1,a1,a1,a17,a1,a17,a17,a1)),
% 131.11/131.76 inference(scs_inference,[],[5461,5411,5029,5725,4608,261,226])).
% 131.11/131.76 cnf(5920,plain,
% 131.11/131.76 (P8(a3,a3,a3,a1,a3,a1,a1,a3)),
% 131.11/131.76 inference(scs_inference,[],[5249,5196,5894,5545,4735,261,226])).
% 131.11/131.76 cnf(5946,plain,
% 131.11/131.76 (P8(a3,a3,a3,a2,a3,a2,a2,a3)),
% 131.11/131.76 inference(scs_inference,[],[5021,4665,5920,5308,4398,261,226])).
% 131.11/131.76 cnf(6144,plain,
% 131.11/131.76 (~P8(x61441,x61442,x61443,x61444,a3,a1,a1,a1)+P8(x61441,x61442,x61443,x61444,a3,a18,a18,a18)),
% 131.11/131.76 inference(scs_inference,[],[5757,261])).
% 131.11/131.76 cnf(6192,plain,
% 131.11/131.76 (~P8(x61921,x61922,x61923,x61924,a3,a3,a3,a2)+P8(x61921,x61922,x61923,x61924,a3,a2,a2,a3)),
% 131.11/131.76 inference(scs_inference,[],[5946,261])).
% 131.11/131.76 cnf(6240,plain,
% 131.11/131.76 (~P8(x62401,x62402,x62403,x62404,a2,a3,a3,a3)+P8(x62401,x62402,x62403,x62404,a2,a17,a17,a17)),
% 131.11/131.76 inference(scs_inference,[],[5785,261])).
% 131.11/131.76 cnf(6297,plain,
% 131.11/131.76 (~P8(x62971,x62972,x62973,x62974,a16,a3,a3,a3)+P8(x62971,x62972,x62973,x62974,a16,a1,a1,a1)),
% 131.11/131.76 inference(scs_inference,[],[4966,4657,4913,226,261])).
% 131.11/131.76 cnf(6663,plain,
% 131.11/131.76 (P1(x66631,a18,a16)+~E(a2,x66631)),
% 131.11/131.76 inference(scs_inference,[],[304,4394,90,153])).
% 131.11/131.76 cnf(6669,plain,
% 131.11/131.76 (P1(a2,a18,a16)),
% 131.11/131.76 inference(equality_inference,[],[6663])).
% 131.11/131.76 cnf(6670,plain,
% 131.11/131.76 (~P9(a2,a17,a2,a16,a18,a17,a18,a16)),
% 131.11/131.76 inference(scs_inference,[],[6669,573])).
% 131.11/131.76 cnf(6671,plain,
% 131.11/131.76 (~P9(a17,a2,a2,a16,a18,a17,a18,a16)),
% 131.11/131.76 inference(scs_inference,[],[6669,575])).
% 131.11/131.76 cnf(6672,plain,
% 131.11/131.76 (~P9(a2,a17,a18,a17,a2,a16,a18,a16)),
% 131.11/131.76 inference(scs_inference,[],[6669,577])).
% 131.11/131.76 cnf(6673,plain,
% 131.11/131.76 (~P9(a2,a16,a2,a17,a18,a16,a18,a17)),
% 131.11/131.76 inference(scs_inference,[],[6669,579])).
% 131.11/131.76 cnf(6675,plain,
% 131.11/131.76 (P1(a18,a2,a16)),
% 131.11/131.76 inference(scs_inference,[],[6669,149])).
% 131.11/131.76 cnf(6677,plain,
% 131.11/131.76 (P1(a2,a16,a18)),
% 131.11/131.76 inference(scs_inference,[],[6669,149,150])).
% 131.11/131.76 cnf(6679,plain,
% 131.11/131.76 (~P9(a2,a17,a2,a18,a16,a17,a16,a18)),
% 131.11/131.76 inference(scs_inference,[],[286,6669,149,150,234])).
% 131.11/131.76 cnf(6681,plain,
% 131.11/131.76 (P1(a18,a18,a2)),
% 131.11/131.76 inference(scs_inference,[],[286,6669,149,150,234,153])).
% 131.11/131.76 cnf(6683,plain,
% 131.11/131.76 (~P9(a17,a2,a2,a18,a16,a17,a16,a18)),
% 131.11/131.76 inference(scs_inference,[],[286,6669,149,150,234,153,252])).
% 131.11/131.76 cnf(6685,plain,
% 131.11/131.76 (~P9(a16,a17,a16,a18,a2,a17,a2,a18)),
% 131.11/131.76 inference(scs_inference,[],[286,6669,149,150,234,153,252,250])).
% 131.11/131.76 cnf(6687,plain,
% 131.11/131.76 (~P9(a2,a17,a16,a17,a2,a18,a16,a18)),
% 131.11/131.76 inference(scs_inference,[],[286,6669,149,150,234,153,252,250,253])).
% 131.11/131.76 cnf(6689,plain,
% 131.11/131.76 (~P9(a2,a18,a2,a17,a16,a18,a16,a17)),
% 131.11/131.76 inference(scs_inference,[],[286,6669,149,150,234,153,252,250,253,251])).
% 131.11/131.76 cnf(6691,plain,
% 131.11/131.76 (~P9(x66911,x66912,x66913,x66914,a16,a17,a16,a18)+~P9(a2,a17,a2,a18,x66911,x66912,x66913,x66914)),
% 131.11/131.76 inference(scs_inference,[],[286,6669,149,150,234,153,252,250,253,251,260])).
% 131.11/131.76 cnf(6700,plain,
% 131.11/131.76 (~P9(a18,a17,a18,a16,a2,a17,a2,a16)),
% 131.11/131.76 inference(scs_inference,[],[6675,522])).
% 131.11/131.76 cnf(6701,plain,
% 131.11/131.76 (~P9(a17,a18,a18,a16,a2,a17,a2,a16)),
% 131.11/131.76 inference(scs_inference,[],[6675,524])).
% 131.11/131.76 cnf(6702,plain,
% 131.11/131.76 (~P9(a18,a17,a2,a17,a18,a16,a2,a16)),
% 131.11/131.76 inference(scs_inference,[],[6675,526])).
% 131.11/131.76 cnf(6703,plain,
% 131.11/131.76 (~P9(a18,a16,a18,a17,a2,a16,a2,a17)),
% 131.11/131.76 inference(scs_inference,[],[6675,528])).
% 131.11/131.76 cnf(6706,plain,
% 131.11/131.76 (~P9(a16,a18,a16,a17,a2,a18,a2,a17)),
% 131.11/131.76 inference(scs_inference,[],[6689,250])).
% 131.11/131.76 cnf(6708,plain,
% 131.11/131.76 (~P9(a16,a2,a2,a17,a18,a16,a18,a17)),
% 131.11/131.76 inference(scs_inference,[],[6673,6689,250,252])).
% 131.11/131.76 cnf(6710,plain,
% 131.11/131.76 (~P9(a2,a16,a18,a16,a2,a17,a18,a17)),
% 131.11/131.76 inference(scs_inference,[],[6673,6689,250,252,253])).
% 131.11/131.76 cnf(6712,plain,
% 131.11/131.76 (~P9(a2,a16,a17,a2,a18,a16,a18,a17)),
% 131.11/131.76 inference(scs_inference,[],[6673,6689,6671,250,252,253,251])).
% 131.11/131.76 cnf(6714,plain,
% 131.11/131.76 (P1(a16,a2,a18)),
% 131.11/131.76 inference(scs_inference,[],[6677,6673,6689,6671,250,252,253,251,149])).
% 131.11/131.76 cnf(6716,plain,
% 131.11/131.76 (P1(a18,a16,a2)),
% 131.11/131.76 inference(scs_inference,[],[6675,6677,6673,6689,6671,250,252,253,251,149,150])).
% 131.11/131.76 cnf(6718,plain,
% 131.11/131.76 (~P9(a18,a17,a18,a2,a16,a17,a16,a2)),
% 131.11/131.76 inference(scs_inference,[],[262,6675,6677,6673,6689,6671,250,252,253,251,149,150,234])).
% 131.11/131.76 cnf(6720,plain,
% 131.11/131.76 (P1(a2,a2,a18)),
% 131.11/131.76 inference(scs_inference,[],[262,6675,6677,6681,6673,6689,6671,250,252,253,251,149,150,234,153])).
% 131.11/131.76 cnf(6722,plain,
% 131.11/131.76 (~P9(a18,a2,a18,a17,a16,a2,a16,a17)),
% 131.11/131.76 inference(scs_inference,[],[262,6675,6677,6681,6673,6689,6671,250,252,253,251,149,150,234,153,556])).
% 131.11/131.76 cnf(6732,plain,
% 131.11/131.76 (~P9(a17,a18,a18,a2,a16,a17,a16,a2)),
% 131.11/131.76 inference(scs_inference,[],[6716,558])).
% 131.11/131.76 cnf(6733,plain,
% 131.11/131.76 (~P9(a18,a17,a16,a17,a18,a2,a16,a2)),
% 131.11/131.76 inference(scs_inference,[],[6716,560])).
% 131.11/131.76 cnf(6735,plain,
% 131.11/131.76 (~P9(a17,a16,a16,a18,a2,a17,a2,a18)),
% 131.11/131.76 inference(scs_inference,[],[6714,662])).
% 131.11/131.76 cnf(6736,plain,
% 131.11/131.76 (~P9(a16,a17,a2,a17,a16,a18,a2,a18)),
% 131.11/131.76 inference(scs_inference,[],[6714,664])).
% 131.11/131.76 cnf(6737,plain,
% 131.11/131.76 (~P9(a16,a2,a16,a17,a18,a2,a18,a17)),
% 131.11/131.76 inference(scs_inference,[],[6722,250])).
% 131.11/131.76 cnf(6739,plain,
% 131.11/131.76 (~P9(a16,a18,a18,a17,a2,a16,a2,a17)),
% 131.11/131.76 inference(scs_inference,[],[6703,6722,250,252])).
% 131.11/131.76 cnf(6745,plain,
% 131.11/131.76 (P1(a16,a18,a2)),
% 131.11/131.76 inference(scs_inference,[],[6716,6703,6722,6708,250,252,251,253,149])).
% 131.11/131.76 cnf(6747,plain,
% 131.11/131.76 (P1(a2,a18,a2)),
% 131.11/131.76 inference(scs_inference,[],[6716,6720,6703,6722,6708,250,252,251,253,149,150])).
% 131.11/131.76 cnf(6749,plain,
% 131.11/131.76 (~P9(x67491,x67492,x67493,x67494,a2,a17,a2,a16)+~P9(a18,a17,a18,a16,x67491,x67492,x67493,x67494)),
% 131.11/131.76 inference(scs_inference,[],[6700,6716,6720,6703,6722,6708,250,252,251,253,149,150,260])).
% 131.11/131.76 cnf(6758,plain,
% 131.11/131.76 (~P9(a16,a17,a16,a2,a18,a17,a18,a2)),
% 131.11/131.76 inference(scs_inference,[],[6745,330])).
% 131.11/131.76 cnf(6759,plain,
% 131.11/131.76 (~P9(a2,a16,a2,a17,a16,a18,a18,a17)),
% 131.11/131.76 inference(scs_inference,[],[6739,250])).
% 131.11/131.76 cnf(6761,plain,
% 131.11/131.76 (~P9(a18,a2,a2,a17,a16,a18,a16,a17)),
% 131.11/131.76 inference(scs_inference,[],[6689,6739,250,252])).
% 131.11/131.76 cnf(6763,plain,
% 131.11/131.76 (~P9(a2,a18,a16,a18,a2,a17,a16,a17)),
% 131.11/131.76 inference(scs_inference,[],[6689,6739,250,252,253])).
% 131.11/131.76 cnf(6765,plain,
% 131.11/131.76 (~P9(a18,a17,a16,a18,a2,a17,a2,a16)),
% 131.11/131.76 inference(scs_inference,[],[6689,6739,250,252,253,251])).
% 131.11/131.76 cnf(6767,plain,
% 131.11/131.76 (P1(a18,a2,a2)),
% 131.11/131.76 inference(scs_inference,[],[6747,6689,6739,250,252,253,251,149])).
% 131.11/131.76 cnf(6769,plain,
% 131.11/131.76 (P1(a18,a2,a18)),
% 131.11/131.76 inference(scs_inference,[],[6681,6747,6689,6739,250,252,253,251,149,150])).
% 131.11/131.76 cnf(6771,plain,
% 131.11/131.76 (P8(a18,a2,a2,a2,a18,a3,a3,a3)),
% 131.11/131.76 inference(scs_inference,[],[4790,5541,6681,6747,6689,6739,250,252,253,251,149,150,226])).
% 131.11/131.76 cnf(6782,plain,
% 131.11/131.76 (~P9(a2,a17,a2,a16,a17,a18,a18,a16)),
% 131.11/131.76 inference(scs_inference,[],[6701,250])).
% 131.11/131.76 cnf(6784,plain,
% 131.11/131.76 (~P9(a17,a16,a16,a2,a18,a17,a18,a2)),
% 131.11/131.76 inference(scs_inference,[],[6758,6701,250,252])).
% 131.11/131.76 cnf(6786,plain,
% 131.11/131.76 (~P9(a18,a16,a17,a18,a2,a16,a2,a17)),
% 131.11/131.76 inference(scs_inference,[],[6758,6701,250,252,251])).
% 131.11/131.76 cnf(6790,plain,
% 131.11/131.76 (P1(a2,a18,a18)),
% 131.11/131.76 inference(scs_inference,[],[6758,6769,6701,250,252,251,253,149])).
% 131.11/131.76 cnf(6792,plain,
% 131.11/131.76 (P8(a2,a18,a18,a18,a2,a1,a1,a1)),
% 131.11/131.76 inference(scs_inference,[],[4396,4958,6758,6769,6701,250,252,251,253,149,226])).
% 131.11/131.76 cnf(6794,plain,
% 131.11/131.76 (~P9(x67941,x67942,x67943,x67944,a18,a17,a18,a2)+~P9(a16,a17,a16,a2,x67941,x67942,x67943,x67944)),
% 131.11/131.76 inference(scs_inference,[],[4396,4958,6758,6769,6701,250,252,251,253,149,226,260])).
% 131.11/131.76 cnf(6804,plain,
% 131.11/131.76 (~P9(a16,a17,a16,a18,a17,a2,a2,a18)),
% 131.11/131.76 inference(scs_inference,[],[6683,250])).
% 131.11/131.76 cnf(6806,plain,
% 131.11/131.76 (~P9(a18,a16,a16,a17,a2,a18,a2,a17)),
% 131.11/131.76 inference(scs_inference,[],[6706,6683,250,252])).
% 131.11/131.76 cnf(6808,plain,
% 131.11/131.76 (~P9(a16,a18,a2,a18,a16,a17,a2,a17)),
% 131.11/131.76 inference(scs_inference,[],[6706,6683,250,252,253])).
% 131.11/131.76 cnf(6810,plain,
% 131.11/131.76 (~P9(a2,a18,a17,a2,a16,a18,a16,a17)),
% 131.11/131.76 inference(scs_inference,[],[6706,6683,250,252,253,251])).
% 131.11/131.76 cnf(6812,plain,
% 131.11/131.76 (~P9(x68121,x68122,x68123,x68124,a2,a17,a2,a18)+~P9(a16,a17,a16,a18,x68121,x68122,x68123,x68124)),
% 131.11/131.76 inference(scs_inference,[],[6685,6706,6683,250,252,253,251,260])).
% 131.11/131.76 cnf(6821,plain,
% 131.11/131.76 (~P9(a18,a16,a18,a17,a2,a16,a17,a2)),
% 131.11/131.76 inference(scs_inference,[],[6712,250])).
% 131.11/131.76 cnf(6823,plain,
% 131.11/131.76 (~P9(a2,a18,a18,a17,a16,a2,a16,a17)),
% 131.11/131.76 inference(scs_inference,[],[6722,6712,250,252])).
% 131.11/131.76 cnf(6825,plain,
% 131.11/131.76 (~P9(a18,a2,a17,a18,a16,a2,a16,a17)),
% 131.11/131.76 inference(scs_inference,[],[6722,6712,6732,250,252,251])).
% 131.11/131.76 cnf(6827,plain,
% 131.11/131.76 (~P9(a18,a2,a16,a2,a18,a17,a16,a17)),
% 131.11/131.76 inference(scs_inference,[],[6722,6712,6732,250,252,251,253])).
% 131.11/131.76 cnf(6829,plain,
% 131.11/131.76 (~P9(x68291,x68292,x68293,x68294,a16,a18,a16,a17)+~P9(a2,a18,a2,a17,x68291,x68292,x68293,x68294)),
% 131.11/131.76 inference(scs_inference,[],[6689,6722,6712,6732,250,252,251,253,260])).
% 131.11/131.76 cnf(6838,plain,
% 131.11/131.76 (~P9(a2,a17,a2,a18,a17,a16,a16,a18)),
% 131.11/131.76 inference(scs_inference,[],[6735,250])).
% 131.11/131.76 cnf(6840,plain,
% 131.11/131.76 (~P9(a2,a16,a16,a17,a18,a2,a18,a17)),
% 131.11/131.76 inference(scs_inference,[],[6737,6735,250,252])).
% 131.11/131.76 cnf(6844,plain,
% 131.11/131.76 (~P9(a16,a18,a17,a16,a2,a18,a2,a17)),
% 131.11/131.76 inference(scs_inference,[],[6737,6735,250,252,253,251])).
% 131.11/131.76 cnf(6846,plain,
% 131.11/131.76 (~P9(x68461,x68462,x68463,x68464,a2,a18,a2,a17)+~P9(a16,a18,a16,a17,x68461,x68462,x68463,x68464)),
% 131.11/131.76 inference(scs_inference,[],[6706,6737,6735,250,252,253,251,260])).
% 131.11/131.76 cnf(6855,plain,
% 131.11/131.76 (~P9(a17,a18,a2,a17,a18,a16,a2,a16)),
% 131.11/131.76 inference(scs_inference,[],[6702,252])).
% 131.11/131.76 cnf(6857,plain,
% 131.11/131.76 (~P9(a16,a17,a2,a16,a18,a17,a18,a2)),
% 131.11/131.76 inference(scs_inference,[],[6840,6702,252,251])).
% 131.11/131.76 cnf(6859,plain,
% 131.11/131.76 (~P9(a2,a16,a18,a2,a16,a17,a18,a17)),
% 131.11/131.76 inference(scs_inference,[],[6840,6702,252,251,253])).
% 131.11/131.76 cnf(6904,plain,
% 131.11/131.76 (~P9(a16,a2,a18,a16,a2,a17,a18,a17)),
% 131.11/131.76 inference(scs_inference,[],[6710,252])).
% 131.11/131.76 cnf(6908,plain,
% 131.11/131.76 (~P9(a2,a16,a16,a18,a2,a17,a18,a17)),
% 131.11/131.76 inference(scs_inference,[],[6710,6759,252,251,253])).
% 131.11/131.76 cnf(6910,plain,
% 131.11/131.76 (~P9(a18,a16,a18,a17,a16,a2,a2,a17)),
% 131.11/131.76 inference(scs_inference,[],[6710,6759,6708,252,251,253,250])).
% 131.11/131.76 cnf(6945,plain,
% 131.11/131.76 (~P9(a16,a2,a17,a2,a18,a16,a18,a17)),
% 131.11/131.76 inference(scs_inference,[],[6712,252])).
% 131.11/131.76 cnf(6947,plain,
% 131.11/131.76 (~P9(a18,a2,a2,a16,a18,a17,a16,a17)),
% 131.11/131.76 inference(scs_inference,[],[6712,6859,252,251])).
% 131.11/131.76 cnf(6949,plain,
% 131.11/131.76 (~P9(a16,a17,a18,a17,a2,a16,a18,a2)),
% 131.11/131.76 inference(scs_inference,[],[6712,6859,252,251,250])).
% 131.11/131.76 cnf(6951,plain,
% 131.11/131.76 (~P9(a2,a16,a18,a16,a17,a2,a18,a17)),
% 131.11/131.76 inference(scs_inference,[],[6712,6859,252,251,250,253])).
% 131.11/131.76 cnf(6953,plain,
% 131.11/131.76 (P8(a3,a1,a1,a1,a3,a17,a17,a17)),
% 131.11/131.76 inference(scs_inference,[],[5027,5135,4970,6712,6859,252,251,250,253,226])).
% 131.11/131.76 cnf(6966,plain,
% 131.11/131.76 (~P8(x69661,x69662,x69663,x69664,a2,a18,a18,a18)+P8(x69661,x69662,x69663,x69664,a2,a1,a1,a1)),
% 131.11/131.76 inference(scs_inference,[],[5027,5135,4722,4839,5541,6670,6792,4970,6712,6859,252,251,250,253,226,97,94,90,98,92,96,88,122,93,91,89,261])).
% 131.11/131.76 cnf(7001,plain,
% 131.11/131.76 (~P9(a16,a2,a2,a17,a16,a18,a18,a17)),
% 131.11/131.76 inference(scs_inference,[],[6759,252])).
% 131.11/131.76 cnf(7003,plain,
% 131.11/131.76 (~P9(a18,a16,a16,a2,a18,a17,a2,a17)),
% 131.11/131.76 inference(scs_inference,[],[6759,6904,252,251])).
% 131.11/131.76 cnf(7005,plain,
% 131.11/131.76 (~P9(a17,a16,a18,a17,a16,a2,a18,a2)),
% 131.11/131.76 inference(scs_inference,[],[6759,6904,6784,252,251,253])).
% 131.11/131.76 cnf(7012,plain,
% 131.11/131.76 (~P11(a16,a18,a17,a16,a2,a17)),
% 131.11/131.76 inference(scs_inference,[],[6759,6904,6784,252,251,253,250,229,107,212])).
% 131.11/131.76 cnf(7014,plain,
% 131.11/131.76 (~P11(a2,a16,a17,a18,a16,a17)),
% 131.11/131.76 inference(scs_inference,[],[6759,6904,6784,252,251,253,250,229,107,212,213])).
% 131.11/131.76 cnf(7016,plain,
% 131.11/131.76 (~P11(a16,a17,a2,a16,a17,a18)),
% 131.11/131.76 inference(scs_inference,[],[6759,6904,6784,252,251,253,250,229,107,212,213,214])).
% 131.11/131.76 cnf(7021,plain,
% 131.11/131.76 (~P8(x70211,x70212,x70213,x70214,a18,a2,a2,a2)+P8(x70211,x70212,x70213,x70214,a18,a3,a3,a3)),
% 131.11/131.76 inference(scs_inference,[],[5306,5359,6718,6771,6759,6904,6784,252,251,253,250,229,107,212,213,214,90,88,122,261])).
% 131.11/131.76 cnf(7035,plain,
% 131.11/131.76 (~P11(a18,a16,a17,a2,a16,a17)),
% 131.11/131.76 inference(scs_inference,[],[7014,212])).
% 131.11/131.76 cnf(7039,plain,
% 131.11/131.76 (~P11(a17,a16,a2,a17,a16,a18)),
% 131.11/131.76 inference(scs_inference,[],[7012,7014,7016,212,214,213])).
% 131.11/131.76 cnf(7041,plain,
% 131.11/131.76 (~P9(a16,a2,a16,a18,a2,a17,a18,a17)),
% 131.11/131.76 inference(scs_inference,[],[6908,7012,7014,7016,212,214,213,252])).
% 131.11/131.76 cnf(7043,plain,
% 131.11/131.76 (~P9(a16,a18,a2,a16,a18,a17,a2,a17)),
% 131.11/131.76 inference(scs_inference,[],[6908,7012,7014,7016,212,214,213,252,251])).
% 131.11/131.76 cnf(7045,plain,
% 131.11/131.76 (~P9(a16,a2,a18,a16,a17,a2,a18,a17)),
% 131.11/131.76 inference(scs_inference,[],[6908,6945,7012,7014,7016,212,214,213,252,251,253])).
% 131.11/131.76 cnf(7047,plain,
% 131.11/131.76 (~P9(a2,a17,a18,a17,a2,a16,a16,a18)),
% 131.11/131.76 inference(scs_inference,[],[6908,6945,7012,7014,7016,212,214,213,252,251,253,250])).
% 131.11/131.76 cnf(7052,plain,
% 131.11/131.76 (~P8(x70521,x70522,x70523,x70524,a3,a1,a1,a1)+P8(x70521,x70522,x70523,x70524,a3,a17,a17,a17)),
% 131.11/131.76 inference(scs_inference,[],[5141,5411,6953,6908,6945,7012,7014,7016,212,214,213,252,251,253,250,107,90,88,261])).
% 131.11/131.76 cnf(7066,plain,
% 131.11/131.76 (~P11(a18,a17,a16,a2,a17,a16)),
% 131.11/131.76 inference(scs_inference,[],[7035,7039,212,214])).
% 131.11/131.76 cnf(7070,plain,
% 131.11/131.76 (~P9(a17,a2,a18,a17,a2,a16,a18,a16)),
% 131.11/131.76 inference(scs_inference,[],[6672,7035,7039,212,214,213,252])).
% 131.11/131.76 cnf(7072,plain,
% 131.11/131.76 (~P9(a18,a16,a2,a16,a18,a17,a17,a2)),
% 131.11/131.76 inference(scs_inference,[],[6951,6672,7035,7039,212,214,213,252,251])).
% 131.11/131.76 cnf(7074,plain,
% 131.11/131.76 (~P9(a18,a16,a2,a18,a16,a17,a2,a17)),
% 131.11/131.76 inference(scs_inference,[],[6951,6672,6806,7035,7039,212,214,213,252,251,253])).
% 131.11/131.76 cnf(7076,plain,
% 131.11/131.76 (~P9(a16,a18,a18,a17,a16,a2,a2,a17)),
% 131.11/131.76 inference(scs_inference,[],[6951,7001,6672,6806,7035,7039,212,214,213,252,251,253,250])).
% 131.11/131.76 cnf(7081,plain,
% 131.11/131.76 (~P9(x70811,x70812,x70813,x70814,a2,a18,a16,a18)+~P9(a2,a17,a16,a17,x70811,x70812,x70813,x70814)),
% 131.11/131.76 inference(scs_inference,[],[5196,4958,6951,7001,6672,6687,6806,7035,7039,212,214,213,252,251,253,250,107,90,88,260])).
% 131.11/131.76 cnf(7113,plain,
% 131.11/131.76 (~P9(a17,a16,a2,a17,a16,a18,a2,a18)),
% 131.11/131.76 inference(scs_inference,[],[6736,7066,7039,212,214,252])).
% 131.11/131.76 cnf(7115,plain,
% 131.11/131.76 (~P9(a18,a2,a16,a18,a2,a17,a16,a17)),
% 131.11/131.76 inference(scs_inference,[],[6736,6761,7066,7039,212,214,252,253])).
% 131.11/131.76 cnf(7117,plain,
% 131.11/131.76 (~P9(a2,a17,a16,a2,a18,a17,a16,a18)),
% 131.11/131.76 inference(scs_inference,[],[7001,6736,6761,7066,7039,212,214,252,253,251])).
% 131.11/131.76 cnf(7119,plain,
% 131.11/131.76 (~P9(a18,a16,a18,a17,a16,a2,a17,a2)),
% 131.11/131.76 inference(scs_inference,[],[7001,6945,6736,6761,7066,7039,212,214,252,253,251,250])).
% 131.11/131.76 cnf(7129,plain,
% 131.11/131.76 (~P9(a2,a18,a16,a2,a18,a17,a16,a17)),
% 131.11/131.76 inference(scs_inference,[],[6827,252])).
% 131.11/131.76 cnf(7131,plain,
% 131.11/131.76 (~P9(a16,a18,a16,a2,a18,a17,a2,a17)),
% 131.11/131.76 inference(scs_inference,[],[7076,6827,252,253])).
% 131.11/131.76 cnf(7133,plain,
% 131.11/131.76 (~P9(a2,a17,a18,a17,a16,a2,a16,a18)),
% 131.11/131.76 inference(scs_inference,[],[7041,7076,6827,252,253,250])).
% 131.11/131.76 cnf(7151,plain,
% 131.11/131.76 (~P9(a17,a18,a16,a17,a18,a2,a16,a2)),
% 131.11/131.76 inference(scs_inference,[],[6733,252])).
% 131.11/131.76 cnf(7153,plain,
% 131.11/131.76 (~P9(a18,a16,a16,a2,a18,a17,a17,a2)),
% 131.11/131.76 inference(scs_inference,[],[6733,7119,252,253])).
% 131.11/131.76 cnf(7157,plain,
% 131.11/131.76 (~P9(a18,a17,a16,a18,a2,a17,a16,a2)),
% 131.11/131.76 inference(scs_inference,[],[7045,7076,6733,7119,252,253,250,251])).
% 131.11/131.76 cnf(7161,plain,
% 131.11/131.76 (~P11(a18,a2,a16,a18,a2,a17)),
% 131.11/131.76 inference(scs_inference,[],[7045,7076,6733,7119,252,253,250,251,229,214])).
% 131.11/131.76 cnf(7163,plain,
% 131.11/131.76 (~P11(a16,a18,a2,a17,a18,a2)),
% 131.11/131.76 inference(scs_inference,[],[7045,7076,6733,7119,252,253,250,251,229,214,213])).
% 131.11/131.76 cnf(7166,plain,
% 131.11/131.76 (~P11(a18,a17,a2,a18,a16,a2)),
% 131.11/131.76 inference(scs_inference,[],[7016,7045,7076,6733,7119,252,253,250,251,229,214,213,107,212])).
% 131.11/131.76 cnf(7170,plain,
% 131.11/131.76 (~P9(x71701,x71702,x71703,x71704,a2,a17,a16,a17)+~P9(a2,a18,a16,a18,x71701,x71702,x71703,x71704)),
% 131.11/131.76 inference(scs_inference,[],[5251,5541,7016,7045,7076,6763,6733,7119,252,253,250,251,229,214,213,107,212,88,90,260])).
% 131.11/131.76 cnf(7200,plain,
% 131.11/131.76 (~P11(a16,a2,a18,a17,a2,a18)),
% 131.11/131.76 inference(scs_inference,[],[7161,7163,212,214])).
% 131.11/131.76 cnf(7202,plain,
% 131.11/131.76 (~P11(a2,a18,a16,a2,a18,a17)),
% 131.11/131.76 inference(scs_inference,[],[7161,7163,212,214,213])).
% 131.11/131.76 cnf(7204,plain,
% 131.11/131.76 (~P9(a16,a18,a18,a17,a2,a16,a17,a2)),
% 131.11/131.76 inference(scs_inference,[],[6821,7161,7163,212,214,213,252])).
% 131.11/131.76 cnf(7206,plain,
% 131.11/131.76 (~P9(a16,a2,a16,a17,a2,a18,a18,a17)),
% 131.11/131.76 inference(scs_inference,[],[6823,6821,7161,7163,212,214,213,252,250])).
% 131.11/131.76 cnf(7213,plain,
% 131.11/131.76 (~P9(x72131,x72132,x72133,x72134,a16,a17,a2,a17)+~P9(a16,a18,a2,a18,x72131,x72132,x72133,x72134)),
% 131.11/131.76 inference(scs_inference,[],[7014,6808,6823,6821,6765,7161,7163,212,214,213,252,250,253,251,107,260])).
% 131.11/131.76 cnf(7245,plain,
% 131.11/131.76 (~P11(a2,a16,a18,a2,a17,a18)),
% 131.11/131.76 inference(scs_inference,[],[7200,7202,212,214])).
% 131.11/131.76 cnf(7249,plain,
% 131.11/131.76 (~P9(a16,a18,a16,a2,a18,a17,a17,a2)),
% 131.11/131.76 inference(scs_inference,[],[7153,7166,7200,7202,212,214,213,252])).
% 131.11/131.76 cnf(7251,plain,
% 131.11/131.76 (~P9(a18,a17,a17,a2,a18,a16,a16,a2)),
% 131.11/131.76 inference(scs_inference,[],[7153,7166,7200,7202,212,214,213,252,250])).
% 131.11/131.76 cnf(7253,plain,
% 131.11/131.76 (~P9(a16,a2,a2,a18,a16,a17,a18,a17)),
% 131.11/131.76 inference(scs_inference,[],[7153,7206,7166,7200,7202,212,214,213,252,250,253])).
% 131.11/131.76 cnf(7255,plain,
% 131.11/131.76 (~P9(a18,a17,a18,a16,a2,a17,a16,a2)),
% 131.11/131.76 inference(scs_inference,[],[7153,6910,7206,7166,7200,7202,212,214,213,252,250,253,251])).
% 131.11/131.76 cnf(7295,plain,
% 131.11/131.76 (~P9(a2,a16,a16,a17,a2,a18,a18,a17)),
% 131.11/131.76 inference(scs_inference,[],[7206,7245,212,214,252])).
% 131.11/131.76 cnf(7297,plain,
% 131.11/131.76 (~P9(a18,a17,a18,a2,a16,a17,a2,a16)),
% 131.11/131.76 inference(scs_inference,[],[7206,6857,7245,212,214,252,250])).
% 131.11/131.76 cnf(7301,plain,
% 131.11/131.76 (~P9(a16,a17,a16,a2,a18,a17,a2,a18)),
% 131.11/131.76 inference(scs_inference,[],[7206,6857,7157,7245,212,214,252,250,253,251])).
% 131.11/131.76 cnf(7303,plain,
% 131.11/131.76 (~P11(a2,a16,a17,a2,a18,a17)),
% 131.11/131.76 inference(scs_inference,[],[7206,6857,7157,7245,212,214,252,250,253,251,229])).
% 131.11/131.76 cnf(7305,plain,
% 131.11/131.76 (~P11(a16,a2,a17,a18,a2,a17)),
% 131.11/131.76 inference(scs_inference,[],[7206,6857,7157,7245,212,214,252,250,253,251,229,213])).
% 131.11/131.76 cnf(7342,plain,
% 131.11/131.76 (~P11(a2,a17,a16,a2,a17,a18)),
% 131.11/131.76 inference(scs_inference,[],[7303,212,214])).
% 131.11/131.76 cnf(7344,plain,
% 131.11/131.76 (~P11(a18,a2,a17,a16,a2,a17)),
% 131.11/131.76 inference(scs_inference,[],[7303,212,214,213])).
% 131.11/131.76 cnf(7346,plain,
% 131.11/131.76 (~P9(a2,a16,a2,a18,a16,a17,a18,a17)),
% 131.11/131.76 inference(scs_inference,[],[7253,7303,212,214,213,252])).
% 131.11/131.76 cnf(7348,plain,
% 131.11/131.76 (~P9(a16,a17,a18,a17,a16,a2,a2,a18)),
% 131.11/131.76 inference(scs_inference,[],[7253,7303,212,214,213,252,250])).
% 131.11/131.76 cnf(7350,plain,
% 131.11/131.76 (~P9(a16,a18,a18,a17,a16,a2,a17,a2)),
% 131.11/131.76 inference(scs_inference,[],[7253,7249,7303,212,214,213,252,250,253])).
% 131.11/131.76 cnf(7352,plain,
% 131.11/131.76 (~P9(a18,a17,a16,a17,a18,a2,a2,a16)),
% 131.11/131.76 inference(scs_inference,[],[7253,6949,7249,7303,212,214,213,252,250,253,251])).
% 131.11/131.76 cnf(7390,plain,
% 131.11/131.76 (~P11(a17,a2,a16,a17,a2,a18)),
% 131.11/131.76 inference(scs_inference,[],[7342,212,213])).
% 131.11/131.76 cnf(7392,plain,
% 131.11/131.76 (~P11(a16,a17,a2,a18,a17,a2)),
% 131.11/131.76 inference(scs_inference,[],[7305,7342,212,213,214])).
% 131.11/131.76 cnf(7394,plain,
% 131.11/131.76 (~P9(a17,a18,a17,a2,a18,a16,a16,a2)),
% 131.11/131.76 inference(scs_inference,[],[7251,7305,7342,212,213,214,252])).
% 131.11/131.76 cnf(7396,plain,
% 131.11/131.76 (~P9(a2,a18,a18,a17,a2,a16,a16,a17)),
% 131.11/131.76 inference(scs_inference,[],[7295,7251,7305,7342,212,213,214,252,250])).
% 131.11/131.76 cnf(7398,plain,
% 131.11/131.76 (~P9(a18,a17,a18,a16,a17,a2,a16,a2)),
% 131.11/131.76 inference(scs_inference,[],[7295,7251,7305,7342,212,213,214,252,250,253])).
% 131.11/131.76 cnf(7400,plain,
% 131.11/131.76 (~P9(a16,a17,a2,a16,a18,a17,a2,a18)),
% 131.11/131.76 inference(scs_inference,[],[7295,7251,7305,7342,212,213,214,252,250,253,251])).
% 131.11/131.76 cnf(7437,plain,
% 131.11/131.76 (~P11(a17,a16,a2,a17,a18,a2)),
% 131.11/131.76 inference(scs_inference,[],[7344,7390,7392,212,214,213])).
% 131.11/131.76 cnf(7439,plain,
% 131.11/131.76 (~P9(a2,a18,a2,a16,a18,a17,a16,a17)),
% 131.11/131.76 inference(scs_inference,[],[6947,7344,7390,7392,212,214,213,252])).
% 131.11/131.76 cnf(7441,plain,
% 131.11/131.76 (~P9(a18,a17,a2,a17,a18,a16,a16,a2)),
% 131.11/131.76 inference(scs_inference,[],[6947,7344,7255,7390,7392,212,214,213,252,253])).
% 131.11/131.76 cnf(7443,plain,
% 131.11/131.76 (~P9(a16,a17,a18,a17,a2,a16,a2,a18)),
% 131.11/131.76 inference(scs_inference,[],[7346,6947,7344,7255,7390,7392,212,214,213,252,253,250])).
% 131.11/131.76 cnf(7445,plain,
% 131.11/131.76 (~P9(a18,a17,a17,a2,a18,a16,a2,a16)),
% 131.11/131.76 inference(scs_inference,[],[7346,6947,7070,7344,7255,7390,7392,212,214,213,252,253,250,251])).
% 131.11/131.76 cnf(7447,plain,
% 131.11/131.77 (~P9(x74471,x74472,x74473,x74474,a18,a17,a16,a17)+~P9(a18,a2,a2,a16,x74471,x74472,x74473,x74474)),
% 131.11/131.77 inference(scs_inference,[],[7346,6947,7070,7344,7255,7390,7392,212,214,213,252,253,250,251,260])).
% 131.11/131.77 cnf(7458,plain,
% 131.11/131.77 (~P9(a17,a2,a18,a17,a2,a16,a16,a18)),
% 131.11/131.77 inference(scs_inference,[],[7047,7437,212,252])).
% 131.11/131.77 cnf(7460,plain,
% 131.11/131.77 (~P9(a16,a2,a18,a2,a17,a16,a18,a17)),
% 131.11/131.77 inference(scs_inference,[],[7047,7005,7437,212,252,250])).
% 131.11/131.77 cnf(7462,plain,
% 131.11/131.77 (~P9(a17,a18,a18,a16,a17,a2,a16,a2)),
% 131.11/131.77 inference(scs_inference,[],[7047,7005,7394,7437,212,252,250,253])).
% 131.11/131.77 cnf(7464,plain,
% 131.11/131.77 (~P9(a18,a17,a2,a18,a16,a17,a2,a16)),
% 131.11/131.77 inference(scs_inference,[],[7396,7047,7005,7394,7437,212,252,250,253,251])).
% 131.11/131.77 cnf(7466,plain,
% 131.11/131.77 (~P9(x74661,x74662,x74663,x74664,a18,a17,a2,a17)+~P9(a16,a18,a16,a2,x74661,x74662,x74663,x74664)),
% 131.11/131.77 inference(scs_inference,[],[7396,7047,7131,7005,7394,7437,212,252,250,253,251,260])).
% 131.11/131.77 cnf(7475,plain,
% 131.11/131.77 (~P9(a17,a2,a16,a2,a18,a17,a16,a18)),
% 131.11/131.77 inference(scs_inference,[],[7117,252])).
% 131.11/131.77 cnf(7479,plain,
% 131.11/131.77 (~P9(a18,a17,a16,a17,a2,a18,a16,a2)),
% 131.11/131.77 inference(scs_inference,[],[7117,7129,7445,252,253,250])).
% 131.11/131.77 cnf(7481,plain,
% 131.11/131.77 (~P9(a2,a18,a18,a16,a2,a17,a16,a17)),
% 131.11/131.77 inference(scs_inference,[],[7117,7129,7074,7445,252,253,250,251])).
% 131.11/131.77 cnf(7492,plain,
% 131.11/131.77 (~P9(a17,a2,a18,a17,a16,a2,a16,a18)),
% 131.11/131.77 inference(scs_inference,[],[7133,252])).
% 131.11/131.77 cnf(7494,plain,
% 131.11/131.77 (~P9(a16,a2,a17,a16,a18,a2,a18,a17)),
% 131.11/131.77 inference(scs_inference,[],[7133,7460,252,253])).
% 131.11/131.77 cnf(7496,plain,
% 131.11/131.77 (~P9(a18,a17,a16,a17,a2,a18,a2,a16)),
% 131.11/131.77 inference(scs_inference,[],[7133,7439,7460,252,253,250])).
% 131.11/131.77 cnf(7498,plain,
% 131.11/131.77 (~P9(a16,a18,a18,a2,a16,a17,a2,a17)),
% 131.11/131.77 inference(scs_inference,[],[7133,7439,7115,7460,252,253,250,251])).
% 131.11/131.77 cnf(7509,plain,
% 131.11/131.77 (~P9(a16,a18,a2,a16,a18,a17,a17,a2)),
% 131.11/131.77 inference(scs_inference,[],[7072,252])).
% 131.11/131.77 cnf(7511,plain,
% 131.11/131.77 (~P9(a2,a17,a17,a18,a2,a16,a18,a16)),
% 131.11/131.77 inference(scs_inference,[],[7072,6782,252,253])).
% 131.11/131.77 cnf(7513,plain,
% 131.11/131.77 (~P9(a18,a16,a2,a16,a17,a18,a2,a17)),
% 131.11/131.77 inference(scs_inference,[],[7072,6855,6782,252,253,250])).
% 131.11/131.77 cnf(7515,plain,
% 131.11/131.77 (~P9(a2,a16,a2,a17,a18,a16,a17,a18)),
% 131.11/131.77 inference(scs_inference,[],[7072,6855,6782,252,253,250,251])).
% 131.11/131.77 cnf(7517,plain,
% 131.11/131.77 (~P9(x75171,x75172,x75173,x75174,a18,a17,a2,a17)+~P9(a18,a16,a16,a2,x75171,x75172,x75173,x75174)),
% 131.11/131.77 inference(scs_inference,[],[7003,7072,6855,6782,252,253,250,251,260])).
% 131.11/131.77 cnf(7526,plain,
% 131.11/131.77 (~P9(a17,a16,a18,a17,a16,a2,a2,a18)),
% 131.11/131.77 inference(scs_inference,[],[7348,252])).
% 131.11/131.77 cnf(7528,plain,
% 131.11/131.77 (~P9(a2,a16,a18,a16,a2,a17,a17,a18)),
% 131.11/131.77 inference(scs_inference,[],[7348,7515,252,253])).
% 131.11/131.77 cnf(7530,plain,
% 131.11/131.77 (~P9(a18,a2,a18,a17,a16,a2,a17,a16)),
% 131.11/131.77 inference(scs_inference,[],[7348,7494,7515,252,253,250])).
% 131.11/131.77 cnf(7532,plain,
% 131.11/131.77 (~P9(a16,a18,a16,a17,a2,a18,a17,a2)),
% 131.11/131.77 inference(scs_inference,[],[7348,7494,7515,6804,252,253,250,251])).
% 131.11/131.77 cnf(7534,plain,
% 131.11/131.77 (~P9(x75341,x75342,x75343,x75344,a18,a17,a2,a17)+~P9(a16,a18,a2,a16,x75341,x75342,x75343,x75344)),
% 131.11/131.77 inference(scs_inference,[],[7043,7348,7494,7515,6804,252,253,250,251,260])).
% 131.11/131.77 cnf(7543,plain,
% 131.11/131.77 (~P9(a17,a16,a16,a2,a18,a17,a2,a18)),
% 131.11/131.77 inference(scs_inference,[],[7301,252])).
% 131.11/131.77 cnf(7545,plain,
% 131.11/131.77 (~P9(a2,a18,a16,a18,a17,a2,a16,a17)),
% 131.11/131.77 inference(scs_inference,[],[7301,6810,252,253])).
% 131.11/131.77 cnf(7547,plain,
% 131.11/131.77 (~P9(a16,a2,a16,a17,a18,a2,a17,a18)),
% 131.11/131.77 inference(scs_inference,[],[7301,6810,6825,252,253,250])).
% 131.11/131.77 cnf(7549,plain,
% 131.11/131.77 (~P9(a2,a18,a2,a17,a16,a18,a17,a16)),
% 131.11/131.77 inference(scs_inference,[],[7301,6810,6825,6838,252,253,250,251])).
% 131.11/131.77 cnf(7560,plain,
% 131.11/131.77 (~P9(a17,a16,a2,a16,a18,a17,a2,a18)),
% 131.11/131.77 inference(scs_inference,[],[7400,252])).
% 131.11/131.77 cnf(7562,plain,
% 131.11/131.77 (~P9(a16,a18,a2,a18,a17,a16,a2,a17)),
% 131.11/131.77 inference(scs_inference,[],[7400,7113,252,250])).
% 131.11/131.77 cnf(7564,plain,
% 131.11/131.77 (~P9(a16,a18,a2,a18,a16,a17,a17,a2)),
% 131.11/131.77 inference(scs_inference,[],[7400,7532,7113,252,250,253])).
% 131.11/131.77 cnf(7566,plain,
% 131.11/131.77 (~P9(a16,a17,a16,a2,a17,a18,a18,a2)),
% 131.11/131.77 inference(scs_inference,[],[7400,7532,7547,7113,252,250,253,251])).
% 131.11/131.77 cnf(7568,plain,
% 131.11/131.77 (~P9(x75681,x75682,x75683,x75684,a18,a17,a2,a18)+~P9(a16,a17,a2,a16,x75681,x75682,x75683,x75684)),
% 131.11/131.77 inference(scs_inference,[],[7400,7532,7547,7113,252,250,253,251,260])).
% 131.11/131.77 cnf(7577,plain,
% 131.11/131.77 (~P9(a17,a16,a18,a17,a2,a16,a2,a18)),
% 131.11/131.77 inference(scs_inference,[],[7443,252])).
% 131.11/131.77 cnf(7579,plain,
% 131.11/131.77 (~P9(a2,a18,a16,a18,a2,a17,a17,a16)),
% 131.11/131.77 inference(scs_inference,[],[7443,7549,252,253])).
% 131.11/131.77 cnf(7583,plain,
% 131.11/131.77 (~P9(a16,a17,a17,a18,a16,a2,a18,a2)),
% 131.11/131.77 inference(scs_inference,[],[7443,7549,7151,252,253,250,251])).
% 131.11/131.77 cnf(7585,plain,
% 131.11/131.77 (~P9(x75851,x75852,x75853,x75854,a16,a17,a2,a16)+~P9(a18,a17,a2,a18,x75851,x75852,x75853,x75854)),
% 131.11/131.77 inference(scs_inference,[],[7443,7464,7549,7151,252,253,250,251,260])).
% 131.11/131.77 cnf(7596,plain,
% 131.11/131.77 (~P9(a2,a16,a17,a2,a16,a18,a18,a17)),
% 131.11/131.77 inference(scs_inference,[],[7297,7204,252,250])).
% 131.11/131.77 cnf(7600,plain,
% 131.11/131.77 (~P9(a18,a17,a16,a18,a17,a2,a2,a16)),
% 131.11/131.77 inference(scs_inference,[],[7297,7204,7458,252,250,253,251])).
% 131.11/131.77 cnf(7602,plain,
% 131.11/131.77 (~P9(x76021,x76022,x76023,x76024,a16,a17,a2,a16)+~P9(a18,a17,a18,a2,x76021,x76022,x76023,x76024)),
% 131.11/131.77 inference(scs_inference,[],[7297,7204,7458,252,250,253,251,260])).
% 131.11/131.77 cnf(7611,plain,
% 131.11/131.77 (~P9(a17,a18,a2,a17,a18,a16,a16,a2)),
% 131.11/131.77 inference(scs_inference,[],[7441,252])).
% 131.11/131.77 cnf(7613,plain,
% 131.11/131.77 (~P9(a18,a17,a17,a2,a16,a18,a2,a16)),
% 131.11/131.77 inference(scs_inference,[],[7441,7509,252,250])).
% 131.11/131.77 cnf(7617,plain,
% 131.11/131.77 (~P9(a18,a17,a16,a18,a17,a2,a16,a2)),
% 131.11/131.77 inference(scs_inference,[],[7441,7509,7596,7350,252,250,253,251])).
% 131.11/131.77 cnf(7619,plain,
% 131.11/131.77 (~P9(x76191,x76192,x76193,x76194,a17,a2,a16,a2)+~P9(a18,a17,a18,a16,x76191,x76192,x76193,x76194)),
% 131.11/131.77 inference(scs_inference,[],[7398,7441,7509,7596,7350,252,250,253,251,260])).
% 131.11/131.77 cnf(7628,plain,
% 131.11/131.77 (~P9(a16,a2,a18,a16,a2,a17,a17,a18)),
% 131.11/131.77 inference(scs_inference,[],[7528,252])).
% 131.11/131.77 cnf(7630,plain,
% 131.11/131.77 (~P9(a17,a2,a16,a2,a17,a18,a18,a16)),
% 131.11/131.77 inference(scs_inference,[],[7528,7462,252,250])).
% 131.11/131.77 cnf(7632,plain,
% 131.11/131.77 (~P9(a2,a18,a2,a17,a18,a16,a16,a17)),
% 131.11/131.77 inference(scs_inference,[],[7528,7462,7481,252,250,253])).
% 131.11/131.77 cnf(7634,plain,
% 131.11/131.77 (~P9(a18,a16,a17,a18,a16,a2,a17,a2)),
% 131.11/131.77 inference(scs_inference,[],[7528,7462,7481,252,250,253,251])).
% 131.11/131.77 cnf(7645,plain,
% 131.11/131.77 (~P9(a17,a18,a16,a17,a2,a18,a16,a2)),
% 131.11/131.77 inference(scs_inference,[],[7479,252])).
% 131.11/131.77 cnf(7649,plain,
% 131.11/131.77 (~P9(a16,a2,a2,a17,a18,a16,a17,a18)),
% 131.11/131.77 inference(scs_inference,[],[7479,7579,7628,252,250,253])).
% 131.11/131.77 cnf(7651,plain,
% 131.11/131.77 (~P9(a2,a17,a2,a18,a16,a17,a18,a16)),
% 131.11/131.77 inference(scs_inference,[],[7479,7579,7632,7628,252,250,253,251])).
% 131.11/131.77 cnf(7664,plain,
% 131.11/131.77 (~P9(a16,a18,a2,a16,a17,a18,a2,a17)),
% 131.11/131.77 inference(scs_inference,[],[7513,252])).
% 131.11/131.77 cnf(7672,plain,
% 131.11/131.77 (~P9(x76721,x76722,x76723,x76724,a17,a18,a2,a17)+~P9(a18,a16,a2,a16,x76721,x76722,x76723,x76724)),
% 131.11/131.77 inference(scs_inference,[],[7513,7475,7492,7498,252,250,253,251,260])).
% 131.11/131.77 cnf(7685,plain,
% 131.11/131.77 (~P9(a18,a17,a17,a2,a16,a18,a16,a2)),
% 131.11/131.77 inference(scs_inference,[],[7496,7649,7617,252,250,253])).
% 131.11/131.77 cnf(7689,plain,
% 131.11/131.77 (~P9(x76891,x76892,x76893,x76894,a2,a18,a2,a16)+~P9(a18,a17,a16,a17,x76891,x76892,x76893,x76894)),
% 131.11/131.77 inference(scs_inference,[],[7496,7649,7617,252,250,253,251,260])).
% 131.11/131.77 cnf(7698,plain,
% 131.11/131.77 (~P9(a17,a18,a16,a17,a18,a2,a2,a16)),
% 131.11/131.77 inference(scs_inference,[],[7352,252])).
% 131.11/131.77 cnf(7700,plain,
% 131.11/131.77 (~P9(a16,a2,a2,a18,a17,a16,a18,a17)),
% 131.11/131.77 inference(scs_inference,[],[7352,7526,252,250])).
% 131.11/131.77 cnf(7706,plain,
% 131.11/131.77 (~P9(x77061,x77062,x77063,x77064,a18,a2,a2,a16)+~P9(a18,a17,a16,a17,x77061,x77062,x77063,x77064)),
% 131.11/131.77 inference(scs_inference,[],[7352,7526,7530,252,250,253,251,260])).
% 131.11/131.77 cnf(7719,plain,
% 131.11/131.77 (~P9(a16,a2,a17,a16,a2,a18,a18,a17)),
% 131.11/131.77 inference(scs_inference,[],[7562,7543,7700,252,250,253])).
% 131.11/131.77 cnf(7723,plain,
% 131.11/131.77 (~P9(x77231,x77232,x77233,x77234,a17,a16,a2,a17)+~P9(a16,a18,a2,a18,x77231,x77232,x77233,x77234)),
% 131.11/131.77 inference(scs_inference,[],[7562,7543,7700,252,250,253,251,260])).
% 131.11/131.77 cnf(7738,plain,
% 131.11/131.77 (~P9(a2,a16,a17,a16,a2,a18,a18,a17)),
% 131.11/131.77 inference(scs_inference,[],[6844,7719,7560,7611,252,250,253,251])).
% 131.11/131.77 cnf(7740,plain,
% 131.11/131.77 (~P9(x77401,x77402,x77403,x77404,a2,a18,a2,a17)+~P9(a16,a18,a17,a16,x77401,x77402,x77403,x77404)),
% 131.11/131.77 inference(scs_inference,[],[6844,7719,7560,7611,252,250,253,251,260])).
% 131.11/131.77 cnf(7755,plain,
% 131.11/131.77 (~P9(a18,a17,a17,a16,a2,a18,a2,a16)),
% 131.11/131.77 inference(scs_inference,[],[6786,7564,7577,7738,252,250,253,251])).
% 131.11/131.77 cnf(7768,plain,
% 131.11/131.77 (~P9(a18,a17,a2,a18,a17,a16,a2,a16)),
% 131.11/131.77 inference(scs_inference,[],[7511,7755,252,253])).
% 131.11/131.77 cnf(7770,plain,
% 131.11/131.77 (~P9(a16,a2,a18,a2,a16,a17,a17,a18)),
% 131.11/131.77 inference(scs_inference,[],[7511,7583,7755,252,253,250])).
% 131.11/131.77 cnf(7787,plain,
% 131.11/131.77 (~P9(a17,a2,a17,a18,a16,a2,a18,a16)),
% 131.11/131.77 inference(scs_inference,[],[7600,7545,7630,252,250,253])).
% 131.11/131.77 cnf(7802,plain,
% 131.11/131.77 (~P9(a18,a16,a16,a2,a17,a18,a17,a2)),
% 131.11/131.77 inference(scs_inference,[],[7613,7634,252,253])).
% 131.11/131.77 cnf(7804,plain,
% 131.11/131.77 (~P9(a18,a2,a2,a16,a17,a18,a16,a17)),
% 131.11/131.77 inference(scs_inference,[],[7613,7698,7634,252,253,250])).
% 131.11/131.77 cnf(7817,plain,
% 131.11/131.77 (~P9(a17,a16,a16,a2,a17,a18,a18,a2)),
% 131.11/131.77 inference(scs_inference,[],[7566,252])).
% 131.11/131.77 cnf(7819,plain,
% 131.11/131.77 (~P9(a2,a18,a16,a2,a17,a18,a16,a17)),
% 131.11/131.77 inference(scs_inference,[],[7566,7645,252,250])).
% 131.11/131.77 cnf(7823,plain,
% 131.11/131.77 (~P9(a16,a2,a18,a16,a17,a2,a17,a18)),
% 131.11/131.77 inference(scs_inference,[],[7566,7802,7645,252,250,253,251])).
% 131.11/131.77 cnf(7834,plain,
% 131.11/131.77 (~P9(a2,a16,a18,a2,a16,a17,a17,a18)),
% 131.11/131.77 inference(scs_inference,[],[7770,252])).
% 131.11/131.77 cnf(7836,plain,
% 131.11/131.77 (~P9(a16,a2,a17,a2,a18,a16,a17,a18)),
% 131.11/131.77 inference(scs_inference,[],[7770,7823,252,253])).
% 131.11/131.77 cnf(7838,plain,
% 131.11/131.77 (~P9(a16,a17,a18,a16,a2,a17,a2,a18)),
% 131.11/131.77 inference(scs_inference,[],[7770,7823,7651,252,253,250])).
% 131.11/131.77 cnf(7840,plain,
% 131.11/131.77 (~P9(a2,a16,a16,a18,a2,a17,a17,a18)),
% 131.11/131.77 inference(scs_inference,[],[7770,7823,7651,7664,252,253,250,251])).
% 131.11/131.77 cnf(7842,plain,
% 131.11/131.77 (~P9(x78421,x78422,x78423,x78424,a16,a18,a16,a2)+~P9(a18,a17,a17,a2,x78421,x78422,x78423,x78424)),
% 131.11/131.77 inference(scs_inference,[],[7770,7685,7823,7651,7664,252,253,250,251,260])).
% 131.11/131.77 cnf(7853,plain,
% 131.11/131.77 (~P9(a17,a18,a18,a2,a17,a16,a16,a2)),
% 131.11/131.77 inference(scs_inference,[],[7817,7787,252,250])).
% 131.11/131.77 cnf(7855,plain,
% 131.11/131.77 (~P9(a17,a16,a17,a18,a16,a2,a18,a2)),
% 131.11/131.77 inference(scs_inference,[],[7817,7787,252,250,253])).
% 131.11/131.77 cnf(7857,plain,
% 131.11/131.77 (~P9(a16,a2,a17,a16,a18,a2,a17,a18)),
% 131.11/131.77 inference(scs_inference,[],[7817,7787,252,250,253,251])).
% 131.11/131.77 cnf(7859,plain,
% 131.11/131.77 (~P9(x78591,x78592,x78593,x78594,a17,a18,a18,a2)+~P9(a17,a16,a16,a2,x78591,x78592,x78593,x78594)),
% 131.11/131.77 inference(scs_inference,[],[7817,7787,252,250,253,251,260])).
% 131.11/131.77 cnf(7876,plain,
% 131.11/131.77 (~P9(a16,a2,a16,a18,a2,a17,a17,a18)),
% 131.11/131.77 inference(scs_inference,[],[7840,252])).
% 131.11/131.77 cnf(7880,plain,
% 131.11/131.77 (~P9(a2,a17,a17,a18,a2,a16,a16,a18)),
% 131.11/131.77 inference(scs_inference,[],[7840,252,253,250])).
% 131.11/131.77 cnf(7882,plain,
% 131.11/131.77 (~P9(a16,a2,a2,a18,a16,a17,a17,a18)),
% 131.11/131.77 inference(scs_inference,[],[7840,7819,252,253,250,251])).
% 131.11/131.77 cnf(7884,plain,
% 131.11/131.77 (~P11(a16,a2,a18,a16,a17,a18)),
% 131.11/131.77 inference(scs_inference,[],[7840,7819,252,253,250,251,229])).
% 131.11/131.77 cnf(7886,plain,
% 131.11/131.77 (~P11(a16,a17,a18,a16,a2,a18)),
% 131.11/131.77 inference(scs_inference,[],[7840,7819,252,253,250,251,229,212])).
% 131.11/131.77 cnf(7888,plain,
% 131.11/131.77 (~P11(a2,a16,a18,a17,a16,a18)),
% 131.11/131.77 inference(scs_inference,[],[7840,7819,252,253,250,251,229,212,213])).
% 131.11/131.77 cnf(7890,plain,
% 131.11/131.77 (~P11(a16,a18,a2,a16,a18,a17)),
% 131.11/131.77 inference(scs_inference,[],[7840,7819,252,253,250,251,229,212,213,214])).
% 131.11/131.77 cnf(7901,plain,
% 131.11/131.77 (~P11(a17,a16,a18,a2,a16,a18)),
% 131.11/131.77 inference(scs_inference,[],[7888,212])).
% 131.11/131.77 cnf(7903,plain,
% 131.11/131.77 (~P11(a18,a16,a2,a18,a16,a17)),
% 131.11/131.77 inference(scs_inference,[],[7888,7890,212,213])).
% 131.11/131.77 cnf(7907,plain,
% 131.11/131.77 (~P9(a2,a16,a17,a2,a18,a16,a17,a18)),
% 131.11/131.77 inference(scs_inference,[],[7836,7886,7888,7890,212,213,214,252])).
% 131.11/131.77 cnf(7913,plain,
% 131.11/131.77 (~P9(a17,a18,a17,a16,a18,a2,a16,a2)),
% 131.11/131.77 inference(scs_inference,[],[7834,7836,7857,7855,7886,7888,7890,212,213,214,252,253,250,251])).
% 131.11/131.77 cnf(7915,plain,
% 131.11/131.77 (~P9(x79151,x79152,x79153,x79154,a17,a18,a16,a17)+~P9(a18,a2,a2,a16,x79151,x79152,x79153,x79154)),
% 131.11/131.77 inference(scs_inference,[],[7834,7836,7857,7804,7855,7886,7888,7890,212,213,214,252,253,250,251,260])).
% 131.11/131.77 cnf(7926,plain,
% 131.11/131.77 (~P11(a17,a18,a16,a2,a18,a16)),
% 131.11/131.77 inference(scs_inference,[],[7901,7903,212,214])).
% 131.11/131.77 cnf(7932,plain,
% 131.11/131.77 (~P9(a16,a17,a17,a18,a16,a2,a2,a18)),
% 131.11/131.77 inference(scs_inference,[],[7853,7882,7901,7903,212,214,252,253,250])).
% 131.11/131.77 cnf(7938,plain,
% 131.11/131.77 (~P9(x79381,x79382,x79383,x79384,a17,a16,a16,a2)+~P9(a17,a18,a18,a2,x79381,x79382,x79383,x79384)),
% 131.11/131.77 inference(scs_inference,[],[7853,7882,7880,7901,7903,212,214,252,253,250,251,213,260])).
% 131.11/131.77 cnf(7956,plain,
% 131.11/131.77 (~P9(a2,a17,a2,a16,a17,a18,a16,a18)),
% 131.11/131.77 inference(scs_inference,[],[7880,7926,212,213,252,253])).
% 131.11/131.77 cnf(7958,plain,
% 131.11/131.77 (~P9(a2,a17,a17,a18,a16,a2,a16,a18)),
% 131.11/131.77 inference(scs_inference,[],[7880,7876,7926,212,213,252,253,250])).
% 131.11/131.77 cnf(7962,plain,
% 131.11/131.77 (~P9(x79621,x79622,x79623,x79624,a2,a17,a2,a18)+~P9(a16,a17,a18,a16,x79621,x79622,x79623,x79624)),
% 131.11/131.77 inference(scs_inference,[],[7880,7876,7838,7926,212,213,252,253,250,251,260])).
% 131.11/131.77 cnf(7971,plain,
% 131.11/131.77 (~P9(a2,a16,a2,a18,a16,a17,a17,a18)),
% 131.11/131.77 inference(scs_inference,[],[7882,252])).
% 131.11/131.77 cnf(7979,plain,
% 131.11/131.77 (~P9(x79791,x79792,x79793,x79794,a18,a2,a16,a2)+~P9(a17,a18,a17,a16,x79791,x79792,x79793,x79794)),
% 131.11/131.77 inference(scs_inference,[],[7882,7932,7907,7913,252,253,250,251,260])).
% 131.11/131.77 cnf(8030,plain,
% 131.11/131.77 (~P9(x80301,x80302,x80303,x80304,a17,a18,a16,a18)+~P9(a2,a17,a2,a16,x80301,x80302,x80303,x80304)),
% 131.11/131.77 inference(scs_inference,[],[7956,7971,252,253,250,251,260])).
% 131.11/131.77 cnf(8056,plain,
% 131.11/131.77 (P8(a3,a17,a17,a17,a3,a1,a1,a1)),
% 131.11/131.77 inference(scs_inference,[],[6953,254])).
% 131.11/131.77 cnf(8058,plain,
% 131.11/131.77 (P8(a1,a1,a3,a1,a17,a17,a3,a17)),
% 131.11/131.77 inference(scs_inference,[],[6953,254,255])).
% 131.11/131.77 cnf(8060,plain,
% 131.11/131.77 (P8(a1,a3,a1,a1,a3,a17,a17,a17)),
% 131.11/131.77 inference(scs_inference,[],[6953,254,255,256])).
% 131.11/131.77 cnf(8062,plain,
% 131.11/131.77 (P8(a3,a1,a3,a17,a1,a1,a17,a17)),
% 131.11/131.77 inference(scs_inference,[],[6953,254,255,256,257])).
% 131.11/131.77 cnf(8064,plain,
% 131.11/131.77 (P8(a3,a17,a17,a17,a3,a3,a3,a3)),
% 131.11/131.77 inference(scs_inference,[],[6953,254,255,256,257,5200])).
% 131.11/131.77 cnf(8066,plain,
% 131.11/131.77 (P8(a3,a17,a17,a17,a3,a18,a18,a18)),
% 131.11/131.77 inference(scs_inference,[],[6953,254,255,256,257,5200,6144])).
% 131.11/131.77 cnf(8068,plain,
% 131.11/131.77 (P8(a3,a17,a17,a17,a3,a17,a17,a17)),
% 131.11/131.77 inference(scs_inference,[],[6953,254,255,256,257,5200,6144,7052])).
% 131.11/131.77 cnf(8070,plain,
% 131.11/131.77 (P9(a2,a16,a16,a2,x80701,x80702,x80701,x80702)),
% 131.11/131.77 inference(scs_inference,[],[4534,6953,254,255,256,257,5200,6144,7052,253])).
% 131.11/131.77 cnf(8072,plain,
% 131.11/131.77 (P9(x80721,x80722,x80721,x80722,a2,a16,a16,a2)),
% 131.11/131.77 inference(scs_inference,[],[4534,6953,254,255,256,257,5200,6144,7052,253,250])).
% 131.11/131.77 cnf(8074,plain,
% 131.11/131.77 (P9(x80741,x80742,a2,a16,x80741,x80742,a16,a2)),
% 131.11/131.77 inference(scs_inference,[],[4534,6953,254,255,256,257,5200,6144,7052,253,250,251])).
% 131.11/131.77 cnf(8078,plain,
% 131.11/131.77 (P4(a1,a3,a3,a3)),
% 131.11/131.77 inference(scs_inference,[],[6767,4534,6953,5019,5082,5541,254,255,256,257,5200,6144,7052,253,250,251,793,234])).
% 131.11/131.77 cnf(8088,plain,
% 131.11/131.77 (P1(f14(a16,a3,a16,a3,a2,a16),a16,a3)),
% 131.11/131.77 inference(scs_inference,[],[6767,4534,6953,4390,4794,5247,5019,5082,4311,4909,5541,254,255,256,257,5200,6144,7052,253,250,251,793,234,261,260,204,205])).
% 131.11/131.77 cnf(8090,plain,
% 131.11/131.77 (P8(a18,a3,a3,a3,a18,a3,a3,a3)),
% 131.11/131.77 inference(scs_inference,[],[6767,4534,6953,4390,4794,5247,5019,5082,4311,4909,5541,254,255,256,257,5200,6144,7052,253,250,251,793,234,261,260,204,205,7021])).
% 131.11/131.77 cnf(8094,plain,
% 131.11/131.77 (P4(a3,a1,a3,a3)),
% 131.11/131.77 inference(scs_inference,[],[6767,4534,6953,4390,4794,5247,5019,5082,4311,4909,5541,254,255,256,257,5200,6144,7052,253,250,251,793,234,261,260,204,205,7021,7938,167])).
% 131.11/131.77 cnf(8096,plain,
% 131.11/131.77 (P4(a3,a3,a1,a3)),
% 131.11/131.77 inference(scs_inference,[],[6767,4534,6953,4390,4794,5247,5019,5082,4311,4909,5541,254,255,256,257,5200,6144,7052,253,250,251,793,234,261,260,204,205,7021,7938,167,168])).
% 131.11/131.77 cnf(8098,plain,
% 131.11/131.77 (P4(a3,a3,a3,a1)),
% 131.11/131.77 inference(scs_inference,[],[6767,4534,6953,4390,4794,5247,5019,5082,4311,4909,5541,254,255,256,257,5200,6144,7052,253,250,251,793,234,261,260,204,205,7021,7938,167,168,169])).
% 131.11/131.77 cnf(8100,plain,
% 131.11/131.77 (P9(a16,a17,a17,a16,a2,a16,a16,a2)),
% 131.11/131.77 inference(scs_inference,[],[6767,4534,6953,4390,4794,5247,5019,5082,4311,4909,5541,254,255,256,257,5200,6144,7052,253,250,251,793,234,261,260,204,205,7021,7938,167,168,169,252])).
% 131.11/131.77 cnf(8139,plain,
% 131.11/131.77 (P9(x81391,x81392,a2,a16,x81391,x81392,a16,a2)),
% 131.11/131.77 inference(rename_variables,[],[8074])).
% 131.11/131.77 cnf(8141,plain,
% 131.11/131.77 (P8(a3,a17,a3,a1,a17,a17,a1,a1)),
% 131.11/131.77 inference(scs_inference,[],[8074,8056,7979,257])).
% 131.11/131.77 cnf(8145,plain,
% 131.11/131.77 (P8(a17,a17,a3,a17,a1,a1,a3,a1)),
% 131.11/131.77 inference(scs_inference,[],[8074,8056,7979,257,256,255])).
% 131.11/131.77 cnf(8149,plain,
% 131.11/131.77 (P8(a3,a17,a17,a17,a1,a3,a1,a1)),
% 131.11/131.77 inference(scs_inference,[],[8074,8056,8060,8094,7979,257,256,255,222,254])).
% 131.11/131.77 cnf(8153,plain,
% 131.11/131.77 (P8(a17,a3,a17,a17,a3,a17,a17,a17)),
% 131.11/131.77 inference(scs_inference,[],[8074,8056,8060,8094,7979,257,256,255,222,254,231,7052])).
% 131.11/131.77 cnf(8155,plain,
% 131.11/131.77 (P9(x81551,x81552,x81552,x81551,a2,a16,a16,a2)),
% 131.11/131.77 inference(scs_inference,[],[8072,8074,8056,8060,8094,7979,257,256,255,222,254,231,7052,252])).
% 131.11/131.77 cnf(8159,plain,
% 131.11/131.77 (P9(x81591,x81592,a16,a2,x81591,x81592,a2,a16)),
% 131.11/131.77 inference(scs_inference,[],[8072,8074,8139,8056,8060,8094,8100,7979,257,256,255,222,254,231,7052,252,253,250])).
% 131.11/131.77 cnf(8163,plain,
% 131.11/131.77 (P4(a3,a3,a3,a3)),
% 131.11/131.77 inference(scs_inference,[],[8070,8072,8074,8139,8056,8060,8078,8094,8100,7979,257,256,255,222,254,231,7052,252,253,250,251,183])).
% 131.11/131.77 cnf(8165,plain,
% 131.11/131.77 (P8(a16,a3,a3,a3,a16,a2,a2,a2)),
% 131.11/131.77 inference(scs_inference,[],[8070,8072,8074,8139,8056,8060,8078,8094,8100,4851,4913,7979,257,256,255,222,254,231,7052,252,253,250,251,183,793])).
% 131.11/131.77 cnf(8167,plain,
% 131.11/131.77 (P1(a3,a3,f14(a16,a3,a16,a3,a2,a16))),
% 131.11/131.77 inference(scs_inference,[],[8070,8072,8074,8139,8056,8060,8078,8094,8100,8088,4851,4913,7979,257,256,255,222,254,231,7052,252,253,250,251,183,793,153])).
% 131.11/131.77 cnf(8169,plain,
% 131.11/131.77 (P10(x81691,x81692,x81691,x81692)),
% 131.11/131.77 inference(scs_inference,[],[8070,8072,8074,8139,8056,8060,8078,8094,8100,8088,4851,4913,4486,7979,257,256,255,222,254,231,7052,252,253,250,251,183,793,153,238])).
% 131.11/131.77 cnf(8171,plain,
% 131.11/131.77 (P4(a3,a18,a2,a2)),
% 131.11/131.77 inference(scs_inference,[],[8070,8072,8074,8139,8056,8060,8078,8094,8100,8088,6720,4851,4843,4913,4486,7979,257,256,255,222,254,231,7052,252,253,250,251,183,793,153,238,234])).
% 131.11/131.77 cnf(8174,plain,
% 131.11/131.77 (P9(x81741,x81742,x81741,x81742,x81743,x81744,x81743,x81744)),
% 131.11/131.77 inference(scs_inference,[],[8070,8072,8074,8139,8056,8060,8078,8094,8100,8088,6720,4851,4843,4913,4486,7979,257,256,255,222,254,231,7052,252,253,250,251,183,793,153,238,234,260])).
% 131.11/131.77 cnf(8178,plain,
% 131.11/131.77 (P1(f14(a18,a18,a18,a18,a2,a2),a18,a18)),
% 131.11/131.77 inference(scs_inference,[],[8070,8072,8074,8139,8056,8060,8078,8094,8100,8088,6790,6720,4851,4843,4913,4486,7979,257,256,255,222,254,231,7052,252,253,250,251,183,793,153,238,234,260,204,205])).
% 131.11/131.77 cnf(8180,plain,
% 131.11/131.77 (P8(a17,a3,a17,a17,a3,a18,a18,a18)),
% 131.11/131.77 inference(scs_inference,[],[8070,8072,8074,8139,8056,8060,8078,8094,8100,8088,6790,6720,4851,4843,4913,4486,7979,257,256,255,222,254,231,7052,252,253,250,251,183,793,153,238,234,260,204,205,6144])).
% 131.11/131.77 cnf(8182,plain,
% 131.11/131.77 (P8(a17,a3,a17,a17,a3,a3,a3,a3)),
% 131.11/131.77 inference(scs_inference,[],[8070,8072,8074,8139,8056,8060,8078,8094,8100,8088,6790,6720,4851,4843,4913,4486,7979,257,256,255,222,254,231,7052,252,253,250,251,183,793,153,238,234,260,204,205,6144,5200])).
% 131.11/131.77 cnf(8184,plain,
% 131.11/131.77 (P4(a18,a3,a2,a2)),
% 131.11/131.77 inference(scs_inference,[],[8070,8072,8074,8139,8056,8060,8078,8094,8100,8088,6790,6720,4851,4843,4913,4486,7979,257,256,255,222,254,231,7052,252,253,250,251,183,793,153,238,234,260,204,205,6144,5200,167])).
% 131.11/131.77 cnf(8186,plain,
% 131.11/131.77 (P4(a3,a2,a18,a2)),
% 131.11/131.77 inference(scs_inference,[],[8070,8072,8074,8139,8056,8060,8078,8094,8100,8088,6790,6720,4851,4843,4913,4486,7979,257,256,255,222,254,231,7052,252,253,250,251,183,793,153,238,234,260,204,205,6144,5200,167,168])).
% 131.11/131.77 cnf(8188,plain,
% 131.11/131.77 (P4(a3,a2,a2,a18)),
% 131.11/131.77 inference(scs_inference,[],[8070,8072,8074,8139,8056,8060,8078,8094,8100,8088,6790,6720,4851,4843,4913,4486,7979,257,256,255,222,254,231,7052,252,253,250,251,183,793,153,238,234,260,204,205,6144,5200,167,168,169])).
% 131.11/131.77 cnf(8200,plain,
% 131.11/131.77 (P8(f5(a2,a2,a3),a3,a3,a3,f5(a2,a2,a3),a3,a3,a3)+~P10(a3,a2,a17,a1)),
% 131.11/131.77 inference(scs_inference,[],[8169,2370])).
% 131.11/131.77 cnf(8201,plain,
% 131.11/131.77 (P10(x82011,x82012,x82012,x82011)),
% 131.11/131.77 inference(scs_inference,[],[8169,162])).
% 131.11/131.77 cnf(8203,plain,
% 131.11/131.77 (P8(a18,a3,a18,a3,a3,a3,a3,a3)),
% 131.11/131.77 inference(scs_inference,[],[8169,8090,162,257])).
% 131.11/131.77 cnf(8205,plain,
% 131.11/131.77 (P8(a3,a3,a3,a3,a3,a17,a17,a17)),
% 131.11/131.77 inference(scs_inference,[],[8169,8090,8064,162,257,254])).
% 131.11/131.77 cnf(8207,plain,
% 131.11/131.77 (P8(a3,a18,a3,a3,a18,a3,a3,a3)),
% 131.11/131.77 inference(scs_inference,[],[8169,8090,8064,162,257,254,256])).
% 131.11/131.77 cnf(8209,plain,
% 131.11/131.77 (P8(a3,a3,a18,a3,a3,a3,a18,a3)),
% 131.11/131.77 inference(scs_inference,[],[8169,8090,8064,162,257,254,256,255])).
% 131.11/131.77 cnf(8211,plain,
% 131.11/131.77 (P4(a2,a3,a18,a2)),
% 131.11/131.77 inference(scs_inference,[],[8169,8090,8064,8186,162,257,254,256,255,167])).
% 131.11/131.77 cnf(8215,plain,
% 131.11/131.77 (P4(a18,a2,a3,a2)),
% 131.11/131.77 inference(scs_inference,[],[8169,8090,8064,8184,8186,162,257,254,256,255,167,222,168])).
% 131.11/131.77 cnf(8217,plain,
% 131.11/131.77 (P4(a2,a3,a2,a18)),
% 131.11/131.77 inference(scs_inference,[],[8169,8090,8064,8184,8186,162,257,254,256,255,167,222,168,169])).
% 131.11/131.77 cnf(8219,plain,
% 131.11/131.77 (P9(x82191,x82192,x82192,x82191,x82193,x82194,x82193,x82194)),
% 131.11/131.77 inference(scs_inference,[],[8169,8174,8090,8064,8184,8186,162,257,254,256,255,167,222,168,169,252])).
% 131.11/131.77 cnf(8221,plain,
% 131.11/131.77 (P9(x82211,x82212,x82213,x82214,x82211,x82212,x82213,x82214)),
% 131.11/131.77 inference(scs_inference,[],[8169,8174,8090,8064,8184,8186,162,257,254,256,255,167,222,168,169,252,253])).
% 131.11/131.77 cnf(8223,plain,
% 131.11/131.77 (P9(a2,a16,a16,a2,x82231,x82232,x82232,x82231)),
% 131.11/131.77 inference(scs_inference,[],[8169,8174,8090,8064,8155,8184,8186,162,257,254,256,255,167,222,168,169,252,253,250])).
% 131.11/131.77 cnf(8229,plain,
% 131.11/131.77 (P4(a16,a16,a1,a2)),
% 131.11/131.77 inference(scs_inference,[],[142,8169,8174,8090,8064,8155,8184,8186,4352,5082,162,257,254,256,255,167,222,168,169,252,253,250,251,793,234])).
% 131.11/131.77 cnf(8230,plain,
% 131.11/131.77 (P9(x82301,x82302,x82301,x82302,x82303,x82304,x82303,x82304)),
% 131.11/131.77 inference(rename_variables,[],[8174])).
% 131.11/131.77 cnf(8234,plain,
% 131.11/131.77 (P9(x82341,x82342,x82341,x82342,x82343,x82344,x82343,x82344)),
% 131.11/131.77 inference(rename_variables,[],[8174])).
% 131.11/131.77 cnf(8237,plain,
% 131.11/131.77 (P10(x82371,x82372,x82371,x82372)),
% 131.11/131.77 inference(rename_variables,[],[8169])).
% 131.11/131.77 cnf(8240,plain,
% 131.11/131.77 (P10(x82401,x82402,x82401,x82402)),
% 131.11/131.77 inference(rename_variables,[],[8169])).
% 131.11/131.77 cnf(8245,plain,
% 131.11/131.77 (P5(a3,a3,a3,a3)),
% 131.11/131.77 inference(scs_inference,[],[142,8169,8237,8240,8174,8230,8234,8090,8096,8064,8155,8159,8184,8186,8178,4307,4352,5082,162,257,254,256,255,167,222,168,169,252,253,250,251,793,234,260,226,204,205,249])).
% 131.11/131.77 cnf(8246,plain,
% 131.11/131.77 (P9(x82461,x82462,x82461,x82462,x82463,x82464,x82463,x82464)),
% 131.11/131.77 inference(rename_variables,[],[8174])).
% 131.11/131.77 cnf(8253,plain,
% 131.11/131.77 (P9(x82531,x82532,x82531,x82532,x82533,x82534,x82533,x82534)),
% 131.11/131.77 inference(rename_variables,[],[8174])).
% 131.11/131.77 cnf(8255,plain,
% 131.11/131.77 (P1(f21(a3,a3,a3,a3),a3,a3)),
% 131.11/131.77 inference(scs_inference,[],[142,8169,8237,8240,8174,8230,8234,8246,8253,8090,8096,8064,8155,8159,8184,8186,8178,4307,4352,5082,4301,162,257,254,256,255,167,222,168,169,252,253,250,251,793,234,260,226,204,205,249,5415,176,243,247])).
% 131.11/131.77 cnf(8256,plain,
% 131.11/131.77 (P9(x82561,x82562,x82561,x82562,x82563,x82564,x82563,x82564)),
% 131.11/131.77 inference(rename_variables,[],[8174])).
% 131.11/131.77 cnf(8258,plain,
% 131.11/131.77 (P2(a3,a3,a3,a3)),
% 131.11/131.77 inference(scs_inference,[],[142,8169,8237,8240,8174,8230,8234,8246,8253,8090,8096,8064,8155,8159,8184,8186,8178,4307,4352,5082,4301,162,257,254,256,255,167,222,168,169,252,253,250,251,793,234,260,226,204,205,249,5415,176,243,247,182])).
% 131.11/131.77 cnf(8262,plain,
% 131.11/131.77 (P5(a3,a17,a17,a17)),
% 131.11/131.77 inference(scs_inference,[],[142,8169,8237,8240,8174,8230,8234,8246,8253,8090,8096,8064,8155,8159,8184,8186,8178,4307,4352,5082,4301,162,257,254,256,255,167,222,168,169,252,253,250,251,793,234,260,226,204,205,249,5415,176,243,247,182,179,241])).
% 131.11/131.77 cnf(8264,plain,
% 131.11/131.77 (P3(x82641,x82642,x82641,x82642)),
% 131.11/131.77 inference(scs_inference,[],[142,8169,8237,8240,8174,8230,8234,8246,8253,8256,8090,8096,8064,8155,8159,8184,8186,8178,4307,4352,5082,4301,162,257,254,256,255,167,222,168,169,252,253,250,251,793,234,260,226,204,205,249,5415,176,243,247,182,179,241,239])).
% 131.11/131.77 cnf(8301,plain,
% 131.11/131.77 (P10(a1,a3,a2,a16)),
% 131.11/131.77 inference(scs_inference,[],[8264,270])).
% 131.11/131.77 cnf(8302,plain,
% 131.11/131.77 (P3(x83021,x83022,x83021,x83022)),
% 131.11/131.77 inference(rename_variables,[],[8264])).
% 131.11/131.77 cnf(8304,plain,
% 131.11/131.77 (P10(a18,a1,a3,a16)),
% 131.11/131.77 inference(scs_inference,[],[8264,8302,270,310])).
% 131.11/131.77 cnf(8305,plain,
% 131.11/131.77 (P3(x83051,x83052,x83051,x83052)),
% 131.11/131.77 inference(rename_variables,[],[8264])).
% 131.11/131.77 cnf(8307,plain,
% 131.11/131.77 (P10(a17,a1,a3,a2)),
% 131.11/131.77 inference(scs_inference,[],[8264,8302,8305,270,310,328])).
% 131.11/131.77 cnf(8308,plain,
% 131.11/131.77 (P3(x83081,x83082,x83081,x83082)),
% 131.11/131.77 inference(rename_variables,[],[8264])).
% 131.11/131.77 cnf(8312,plain,
% 131.11/131.77 (P10(a1,a3,a16,a2)),
% 131.11/131.77 inference(scs_inference,[],[8264,8302,8305,8258,270,310,328,185,162])).
% 131.11/131.77 cnf(8314,plain,
% 131.11/131.77 (P8(a3,a17,a3,a18,a17,a17,a18,a18)),
% 131.11/131.77 inference(scs_inference,[],[8264,8302,8305,8066,8258,270,310,328,185,162,257])).
% 131.11/131.77 cnf(8316,plain,
% 131.11/131.77 (P8(a3,a18,a18,a18,a3,a17,a17,a17)),
% 131.11/131.77 inference(scs_inference,[],[8264,8302,8305,8066,8258,270,310,328,185,162,257,254])).
% 131.11/131.77 cnf(8318,plain,
% 131.11/131.77 (P8(a1,a3,a3,a17,a1,a1,a17,a17)),
% 131.11/131.77 inference(scs_inference,[],[8264,8302,8305,8066,8062,8258,270,310,328,185,162,257,254,256])).
% 131.11/131.77 cnf(8320,plain,
% 131.11/131.77 (P4(a2,a18,a3,a2)),
% 131.11/131.77 inference(scs_inference,[],[8264,8302,8305,8066,8062,8215,8258,270,310,328,185,162,257,254,256,167])).
% 131.11/131.77 cnf(8322,plain,
% 131.11/131.77 (P9(a2,a3,a2,a2,a18,a3,a18,a2)),
% 131.11/131.77 inference(scs_inference,[],[8264,8302,8305,8066,8188,8062,8215,8258,270,310,328,185,162,257,254,256,167,222])).
% 131.11/131.77 cnf(8324,plain,
% 131.11/131.77 (P8(a17,a17,a3,a17,a18,a18,a3,a18)),
% 131.11/131.77 inference(scs_inference,[],[8264,8302,8305,8066,8188,8062,8215,8258,270,310,328,185,162,257,254,256,167,222,255])).
% 131.11/131.77 cnf(8326,plain,
% 131.11/131.77 (P4(a2,a2,a3,a18)),
% 131.11/131.77 inference(scs_inference,[],[8264,8302,8305,8066,8188,8062,8215,8217,8258,270,310,328,185,162,257,254,256,167,222,255,168])).
% 131.11/131.77 cnf(8328,plain,
% 131.11/131.77 (P4(a18,a2,a2,a3)),
% 131.11/131.77 inference(scs_inference,[],[8264,8302,8305,8066,8188,8062,8215,8217,8258,270,310,328,185,162,257,254,256,167,222,255,168,169])).
% 131.11/131.77 cnf(8330,plain,
% 131.11/131.77 (P9(x83301,x83302,x83303,x83304,x83302,x83301,x83303,x83304)),
% 131.11/131.77 inference(scs_inference,[],[8221,8264,8302,8305,8066,8188,8062,8215,8217,8258,270,310,328,185,162,257,254,256,167,222,255,168,169,252])).
% 131.11/131.77 cnf(8332,plain,
% 131.11/131.77 (P9(a2,a16,x83321,x83322,a16,a2,x83322,x83321)),
% 131.11/131.77 inference(scs_inference,[],[8221,8264,8302,8305,8066,8188,8223,8062,8215,8217,8258,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253])).
% 131.11/131.77 cnf(8334,plain,
% 131.11/131.77 (P9(x83341,x83342,x83341,x83342,x83343,x83344,x83344,x83343)),
% 131.11/131.77 inference(scs_inference,[],[8219,8221,8264,8302,8305,8066,8188,8223,8062,8215,8217,8258,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250])).
% 131.11/131.77 cnf(8339,plain,
% 131.11/131.77 (P3(x83391,x83392,x83391,x83392)),
% 131.11/131.77 inference(rename_variables,[],[8264])).
% 131.11/131.77 cnf(8341,plain,
% 131.11/131.77 (P5(a3,a3,a3,f4(a3,a3,a3))),
% 131.11/131.77 inference(scs_inference,[],[8219,8221,8264,8302,8305,8308,8339,8066,8188,8223,8062,8215,8217,8245,8258,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186])).
% 131.11/131.77 cnf(8342,plain,
% 131.11/131.77 (P3(x83421,x83422,x83421,x83422)),
% 131.11/131.77 inference(rename_variables,[],[8264])).
% 131.11/131.77 cnf(8344,plain,
% 131.11/131.77 (P3(x83441,f5(x83441,x83441,x83442),x83442,x83441)),
% 131.11/131.77 inference(scs_inference,[],[8219,8221,8264,8302,8305,8308,8339,8342,8066,8188,8223,8062,8215,8217,8245,8258,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187])).
% 131.11/131.77 cnf(8346,plain,
% 131.11/131.77 (P3(x83461,f6(x83461,x83461,x83462),x83462,x83461)),
% 131.11/131.77 inference(scs_inference,[],[8219,8221,8264,8302,8305,8308,8339,8342,8066,8188,8223,8062,8215,8217,8245,8258,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188])).
% 131.11/131.77 cnf(8348,plain,
% 131.11/131.77 (P2(f9(a3,a3,a3),a3,a3,a3)),
% 131.11/131.77 inference(scs_inference,[],[8219,8221,8264,8302,8305,8308,8339,8342,8066,8098,8188,8223,8062,8215,8217,8245,8258,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189])).
% 131.11/131.77 cnf(8349,plain,
% 131.11/131.77 (P3(x83491,x83492,x83491,x83492)),
% 131.11/131.77 inference(rename_variables,[],[8264])).
% 131.11/131.77 cnf(8352,plain,
% 131.11/131.77 (P3(x83521,x83522,x83521,x83522)),
% 131.11/131.77 inference(rename_variables,[],[8264])).
% 131.11/131.77 cnf(8355,plain,
% 131.11/131.77 (P3(x83551,x83552,x83551,x83552)),
% 131.11/131.77 inference(rename_variables,[],[8264])).
% 131.11/131.77 cnf(8358,plain,
% 131.11/131.77 (P3(x83581,x83582,x83581,x83582)),
% 131.11/131.77 inference(rename_variables,[],[8264])).
% 131.11/131.77 cnf(8361,plain,
% 131.11/131.77 (P3(x83611,x83612,x83611,x83612)),
% 131.11/131.77 inference(rename_variables,[],[8264])).
% 131.11/131.77 cnf(8363,plain,
% 131.11/131.77 (P1(x83631,x83631,f22(x83631,x83631,x83631,x83631))),
% 131.11/131.77 inference(scs_inference,[],[142,8219,8221,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8066,8098,8188,8223,8062,8215,8217,8245,8258,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244])).
% 131.11/131.77 cnf(8364,plain,
% 131.11/131.77 (P9(x83641,x83642,x83642,x83641,x83643,x83644,x83643,x83644)),
% 131.11/131.77 inference(rename_variables,[],[8219])).
% 131.11/131.77 cnf(8365,plain,
% 131.11/131.77 (P3(x83651,x83652,x83651,x83652)),
% 131.11/131.77 inference(rename_variables,[],[8264])).
% 131.11/131.77 cnf(8367,plain,
% 131.11/131.77 (P1(f15(x83671,x83671,x83671,x83671),x83671,x83671)),
% 131.11/131.77 inference(scs_inference,[],[142,8219,8364,8221,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8365,8066,8098,8188,8223,8062,8215,8217,8245,8258,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244,245])).
% 131.11/131.77 cnf(8368,plain,
% 131.11/131.77 (P9(x83681,x83682,x83682,x83681,x83683,x83684,x83683,x83684)),
% 131.11/131.77 inference(rename_variables,[],[8219])).
% 131.11/131.77 cnf(8369,plain,
% 131.11/131.77 (P3(x83691,x83692,x83691,x83692)),
% 131.11/131.77 inference(rename_variables,[],[8264])).
% 131.11/131.77 cnf(8371,plain,
% 131.11/131.77 (P1(f22(x83711,x83711,x83711,x83711),x83711,x83711)),
% 131.11/131.77 inference(scs_inference,[],[142,8219,8364,8368,8221,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8365,8369,8066,8098,8188,8223,8062,8215,8217,8245,8258,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244,245,248])).
% 131.11/131.77 cnf(8372,plain,
% 131.11/131.77 (P9(x83721,x83722,x83722,x83721,x83723,x83724,x83723,x83724)),
% 131.11/131.77 inference(rename_variables,[],[8219])).
% 131.11/131.77 cnf(8373,plain,
% 131.11/131.77 (P3(x83731,x83732,x83731,x83732)),
% 131.11/131.77 inference(rename_variables,[],[8264])).
% 131.11/131.77 cnf(8375,plain,
% 131.11/131.77 (P10(a18,a1,a16,a3)),
% 131.11/131.77 inference(scs_inference,[],[142,8201,8219,8364,8368,8221,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8365,8369,8066,8098,8188,8223,8062,8215,8217,8245,8258,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244,245,248,177])).
% 131.11/131.77 cnf(8376,plain,
% 131.11/131.77 (P10(x83761,x83762,x83762,x83761)),
% 131.11/131.77 inference(rename_variables,[],[8201])).
% 131.11/131.77 cnf(8379,plain,
% 131.11/131.77 (P3(x83791,x83792,x83791,x83792)),
% 131.11/131.77 inference(rename_variables,[],[8264])).
% 131.11/131.77 cnf(8381,plain,
% 131.11/131.77 (P1(f6(x83811,x83811,x83812),x83812,x83811)),
% 131.11/131.77 inference(scs_inference,[],[142,8201,8219,8364,8368,8221,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8365,8369,8373,8379,8066,8098,8188,8223,8062,8215,8217,8245,8258,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244,245,248,177,192,176])).
% 131.11/131.77 cnf(8384,plain,
% 131.11/131.77 (P3(x83841,x83842,x83841,x83842)),
% 131.11/131.77 inference(rename_variables,[],[8264])).
% 131.11/131.77 cnf(8386,plain,
% 131.11/131.77 (P1(f5(x83861,x83861,x83862),x83862,x83861)),
% 131.11/131.77 inference(scs_inference,[],[142,8201,8219,8364,8368,8221,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8365,8369,8373,8379,8384,8066,8098,8188,8223,8062,8215,8217,8245,8258,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244,245,248,177,192,176,191,175])).
% 131.11/131.77 cnf(8390,plain,
% 131.11/131.77 (P3(a3,a17,a17,a17)),
% 131.11/131.77 inference(scs_inference,[],[142,8201,8219,8364,8368,8221,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8365,8369,8373,8379,8384,8066,8098,8188,8223,8062,8215,8217,8245,8258,8262,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244,245,248,177,192,176,191,175,182,179])).
% 131.11/131.77 cnf(8392,plain,
% 131.11/131.77 (P5(a17,a3,a17,a17)),
% 131.11/131.77 inference(scs_inference,[],[142,8201,8219,8364,8368,8221,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8365,8369,8373,8379,8384,8066,8182,8098,8188,8223,8062,8215,8217,8245,8258,8262,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244,245,248,177,192,176,191,175,182,179,241])).
% 131.11/131.77 cnf(8394,plain,
% 131.11/131.77 (P8(a2,a3,a3,a3,a2,a2,a2,a2)),
% 131.11/131.77 inference(scs_inference,[],[142,8201,8219,8364,8368,8221,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8365,8369,8373,8379,8384,8066,8182,8098,8188,8223,8062,8215,8217,8245,8258,8262,4845,4794,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244,245,248,177,192,176,191,175,182,179,241,793])).
% 131.11/131.77 cnf(8396,plain,
% 131.11/131.77 (P3(x83961,x83962,x83962,x83961)),
% 131.11/131.77 inference(scs_inference,[],[142,8201,8219,8364,8368,8372,8221,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8365,8369,8373,8379,8384,8066,8182,8098,8188,8223,8062,8215,8217,8245,8258,8262,4845,4794,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244,245,248,177,192,176,191,175,182,179,241,793,239])).
% 131.11/131.77 cnf(8397,plain,
% 131.11/131.77 (P3(x83971,x83972,x83971,x83972)),
% 131.11/131.77 inference(rename_variables,[],[8264])).
% 131.11/131.77 cnf(8399,plain,
% 131.11/131.77 (P4(x83991,f14(a16,a3,a16,a3,a2,a16),a3,a3)),
% 131.11/131.77 inference(scs_inference,[],[142,8201,8219,8364,8368,8372,8221,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8365,8369,8373,8379,8384,8066,8182,8098,8188,8223,8062,8215,8217,8245,8258,8262,8167,4845,4794,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244,245,248,177,192,176,191,175,182,179,241,793,239,234])).
% 131.11/131.77 cnf(8400,plain,
% 131.11/131.77 (P9(x84001,x84002,x84003,x84004,x84001,x84002,x84003,x84004)),
% 131.11/131.77 inference(rename_variables,[],[8221])).
% 131.11/131.77 cnf(8403,plain,
% 131.11/131.77 (P10(x84031,x84032,x84032,x84031)),
% 131.11/131.77 inference(rename_variables,[],[8201])).
% 131.11/131.77 cnf(8405,plain,
% 131.11/131.77 (P10(a1,a18,a3,a16)),
% 131.11/131.77 inference(scs_inference,[],[142,8201,8376,8219,8364,8368,8372,8221,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8365,8369,8373,8379,8384,8397,8066,8182,8098,8188,8223,8062,8215,8217,8245,8258,8262,8167,4845,4794,4530,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244,245,248,177,192,176,191,175,182,179,241,793,239,234,180,178])).
% 131.11/131.77 cnf(8406,plain,
% 131.11/131.77 (P3(x84061,x84062,x84061,x84062)),
% 131.11/131.77 inference(rename_variables,[],[8264])).
% 131.11/131.77 cnf(8408,plain,
% 131.11/131.77 (P4(a3,f4(a3,a3,a3),f4(a3,a3,a3),f4(a3,a3,a3))),
% 131.11/131.77 inference(scs_inference,[],[142,8201,8376,8219,8364,8368,8372,8221,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8365,8369,8373,8379,8384,8397,8066,8182,8098,8188,8223,8062,8215,8217,8245,8258,8262,8167,4845,4794,4530,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244,245,248,177,192,176,191,175,182,179,241,793,239,234,180,178,194])).
% 131.11/131.77 cnf(8410,plain,
% 131.11/131.77 (P7(a3,a3,a3)),
% 131.11/131.77 inference(scs_inference,[],[142,8201,8376,8219,8364,8368,8372,8221,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8365,8369,8373,8379,8384,8397,8066,8182,8098,8188,8223,8062,8215,8217,8245,8258,8262,8167,4845,4794,4530,5082,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244,245,248,177,192,176,191,175,182,179,241,793,239,234,180,178,194,237])).
% 131.11/131.77 cnf(8411,plain,
% 131.11/131.77 (P9(x84111,x84112,x84112,x84111,x84113,x84114,x84113,x84114)),
% 131.11/131.77 inference(rename_variables,[],[8219])).
% 131.11/131.77 cnf(8414,plain,
% 131.11/131.77 (P10(x84141,x84142,x84141,x84142)),
% 131.11/131.77 inference(rename_variables,[],[8169])).
% 131.11/131.77 cnf(8415,plain,
% 131.11/131.77 (P10(x84151,x84152,x84152,x84151)),
% 131.11/131.77 inference(rename_variables,[],[8201])).
% 131.11/131.77 cnf(8417,plain,
% 131.11/131.77 (P1(a1,a1,f14(a2,a16,a16,a2,a1,a1))),
% 131.11/131.77 inference(scs_inference,[],[142,8201,8376,8403,8415,8219,8364,8368,8372,8221,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8365,8369,8373,8379,8384,8397,8066,8182,8098,8188,8223,8062,8215,8217,8245,8258,8262,8167,8169,4315,4845,4794,4530,5082,4362,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244,245,248,177,192,176,191,175,182,179,241,793,239,234,180,178,194,237,207,204])).
% 131.11/131.77 cnf(8418,plain,
% 131.11/131.77 (P10(x84181,x84182,x84182,x84181)),
% 131.11/131.77 inference(rename_variables,[],[8201])).
% 131.11/131.77 cnf(8421,plain,
% 131.11/131.77 (P10(x84211,x84212,x84212,x84211)),
% 131.11/131.77 inference(rename_variables,[],[8201])).
% 131.11/131.77 cnf(8424,plain,
% 131.11/131.77 (P10(x84241,x84242,x84241,x84242)),
% 131.11/131.77 inference(rename_variables,[],[8169])).
% 131.11/131.77 cnf(8425,plain,
% 131.11/131.77 (P10(x84251,x84252,x84252,x84251)),
% 131.11/131.77 inference(rename_variables,[],[8201])).
% 131.11/131.77 cnf(8427,plain,
% 131.11/131.77 (P5(a3,a3,a1,a1)),
% 131.11/131.77 inference(scs_inference,[],[142,8201,8376,8403,8415,8418,8421,8219,8364,8368,8372,8411,8221,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8365,8369,8373,8379,8384,8397,8066,8182,8098,8188,8223,8062,8215,8217,8245,8258,8262,8167,8169,8414,4315,4728,4845,4794,4530,5082,4362,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244,245,248,177,192,176,191,175,182,179,241,793,239,234,180,178,194,237,207,204,205,206,249])).
% 131.11/131.77 cnf(8428,plain,
% 131.11/131.77 (P9(x84281,x84282,x84282,x84281,x84283,x84284,x84283,x84284)),
% 131.11/131.77 inference(rename_variables,[],[8219])).
% 131.11/131.77 cnf(8430,plain,
% 131.11/131.77 (P7(a3,a2,a2)),
% 131.11/131.77 inference(scs_inference,[],[142,8201,8376,8403,8415,8418,8421,8219,8364,8368,8372,8411,8221,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8365,8369,8373,8379,8384,8397,8066,8182,8098,8188,8223,8062,8215,8217,8245,8258,8262,8167,8169,8414,4315,4728,4845,4794,4530,5082,4362,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244,245,248,177,192,176,191,175,182,179,241,793,239,234,180,178,194,237,207,204,205,206,249,790])).
% 131.11/131.77 cnf(8432,plain,
% 131.11/131.77 (P3(a3,f4(a3,a3,a3),f4(a3,a3,a3),f4(a3,a3,a3))),
% 131.11/131.77 inference(scs_inference,[],[142,8201,8376,8403,8415,8418,8421,8219,8364,8368,8372,8411,8221,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8365,8369,8373,8379,8384,8397,8066,8182,8098,8188,8223,8062,8215,8217,8245,8258,8262,8167,8169,8414,4315,4728,4845,4794,4530,5082,4362,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244,245,248,177,192,176,191,175,182,179,241,793,239,234,180,178,194,237,207,204,205,206,249,790,170])).
% 131.11/131.77 cnf(8440,plain,
% 131.11/131.77 (P3(x84401,x84402,x84401,x84402)),
% 131.11/131.77 inference(rename_variables,[],[8264])).
% 131.11/131.77 cnf(8445,plain,
% 131.11/131.77 (P10(f23(a3,a3,a3,a3,a3,a3),a3,a3,a3)),
% 131.11/131.77 inference(scs_inference,[],[142,8201,8376,8403,8415,8418,8421,8219,8364,8368,8372,8411,8428,8221,8400,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8365,8369,8373,8379,8384,8397,8406,8066,8182,8098,8188,8223,8062,8215,8217,8245,8258,8262,8167,8169,8414,4315,4728,4845,4794,4530,5082,4362,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244,245,248,177,192,176,191,175,182,179,241,793,239,234,180,178,194,237,207,204,205,206,249,790,170,221,232,198,246,202])).
% 131.11/131.77 cnf(8447,plain,
% 131.11/131.77 (P10(f23(a2,a2,a2,a2,a3,a3),a3,a2,a2)),
% 131.11/131.77 inference(scs_inference,[],[142,8201,8376,8403,8415,8418,8421,8219,8364,8368,8372,8411,8428,8221,8400,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8365,8369,8373,8379,8384,8397,8406,8066,8182,8098,8188,8223,8062,8215,8217,8245,8258,8262,8167,8169,8414,4315,4728,4845,4794,4530,5082,4362,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244,245,248,177,192,176,191,175,182,179,241,793,239,234,180,178,194,237,207,204,205,206,249,790,170,221,232,198,246,202,203])).
% 131.11/131.77 cnf(8449,plain,
% 131.11/131.77 (P7(f23(a3,a3,a3,a3,a3,a3),a3,a3)),
% 131.11/131.77 inference(scs_inference,[],[142,8201,8376,8403,8415,8418,8421,8219,8364,8368,8372,8411,8428,8221,8400,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8365,8369,8373,8379,8384,8397,8406,8066,8182,8098,8188,8223,8062,8215,8217,8245,8258,8262,8167,8169,8414,4315,4728,4845,4794,4530,5082,4362,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244,245,248,177,192,176,191,175,182,179,241,793,239,234,180,178,194,237,207,204,205,206,249,790,170,221,232,198,246,202,203,201])).
% 131.11/131.77 cnf(8451,plain,
% 131.11/131.77 (P9(a3,a3,a3,f4(a3,a3,a3),f4(a3,a3,a3),a3,f4(a3,a3,a3),f4(a3,a3,a3))),
% 131.11/131.77 inference(scs_inference,[],[142,8201,8376,8403,8415,8418,8421,8219,8364,8368,8372,8411,8428,8221,8400,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8365,8369,8373,8379,8384,8397,8406,8440,8066,8182,8098,8188,8223,8062,8215,8217,8245,8258,8262,8167,8169,8414,4315,4728,4845,4794,4530,5082,4362,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244,245,248,177,192,176,191,175,182,179,241,793,239,234,180,178,194,237,207,204,205,206,249,790,170,221,232,198,246,202,203,201,227])).
% 131.11/131.77 cnf(8452,plain,
% 131.11/131.77 (P3(x84521,x84522,x84521,x84522)),
% 131.11/131.77 inference(rename_variables,[],[8264])).
% 131.11/131.77 cnf(8454,plain,
% 131.11/131.77 (P7(f7(a3,a3,a3),a3,a3)),
% 131.11/131.77 inference(scs_inference,[],[142,8201,8376,8403,8415,8418,8421,8219,8364,8368,8372,8411,8428,8221,8400,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8365,8369,8373,8379,8384,8397,8406,8440,8452,8066,8182,8098,8188,8223,8062,8215,8217,8245,8258,8262,8167,8169,8414,4315,4728,4845,4794,4530,5082,4362,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244,245,248,177,192,176,191,175,182,179,241,793,239,234,180,178,194,237,207,204,205,206,249,790,170,221,232,198,246,202,203,201,227,184])).
% 131.11/131.77 cnf(8458,plain,
% 131.11/131.77 (P2(f10(a3,a3,a3),a3,a3,a3)),
% 131.11/131.77 inference(scs_inference,[],[142,8201,8376,8403,8415,8418,8421,8425,8219,8364,8368,8372,8411,8428,8221,8400,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8365,8369,8373,8379,8384,8397,8406,8440,8452,8066,8182,8098,8188,8223,8062,8215,8217,8245,8258,8262,8167,8163,8169,8414,4315,4728,4845,4794,4530,5082,4362,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244,245,248,177,192,176,191,175,182,179,241,793,239,234,180,178,194,237,207,204,205,206,249,790,170,221,232,198,246,202,203,201,227,184,190])).
% 131.11/131.77 cnf(8461,plain,
% 131.11/131.77 (P7(a2,a3,a2)),
% 131.11/131.77 inference(scs_inference,[],[142,8201,8376,8403,8415,8418,8421,8425,8219,8364,8368,8372,8411,8428,8221,8400,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8365,8369,8373,8379,8384,8397,8406,8440,8452,8066,8182,8098,8188,8223,8062,8215,8217,8245,8258,8262,8167,8163,8169,8414,8424,4315,4728,4845,4794,5300,4530,5082,4362,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244,245,248,177,192,176,191,175,182,179,241,793,239,234,180,178,194,237,207,204,205,206,249,790,170,221,232,198,246,202,203,201,227,184,190,160])).
% 131.11/131.77 cnf(8464,plain,
% 131.11/131.77 (P7(f19(a2,x84641),a2,x84641)),
% 131.11/131.77 inference(scs_inference,[],[142,8201,8376,8403,8415,8418,8421,8425,8219,8364,8368,8372,8411,8428,8221,8400,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8365,8369,8373,8379,8384,8397,8406,8440,8452,8066,8182,8098,8188,8223,8062,8215,8217,8245,8258,8262,8167,8163,8169,8414,8424,4315,4728,4845,4794,5300,4530,5082,4362,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244,245,248,177,192,176,191,175,182,179,241,793,239,234,180,178,194,237,207,204,205,206,249,790,170,221,232,198,246,202,203,201,227,184,190,160,157])).
% 131.11/131.77 cnf(8466,plain,
% 131.11/131.77 (P7(a2,a2,a3)),
% 131.11/131.77 inference(scs_inference,[],[142,8201,8376,8403,8415,8418,8421,8425,8219,8364,8368,8372,8411,8428,8221,8400,8264,8302,8305,8308,8339,8342,8349,8352,8355,8358,8361,8365,8369,8373,8379,8384,8397,8406,8440,8452,8066,8182,8098,8188,8223,8062,8215,8217,8245,8258,8262,8167,8163,8169,8414,8424,4315,4728,4845,4794,5300,4530,5082,4362,270,310,328,185,162,257,254,256,167,222,255,168,169,252,253,250,251,174,186,187,188,189,195,196,197,199,244,245,248,177,192,176,191,175,182,179,241,793,239,234,180,178,194,237,207,204,205,206,249,790,170,221,232,198,246,202,203,201,227,184,190,160,157,152])).
% 131.11/131.77 cnf(8471,plain,
% 131.11/131.77 (P9(x84711,x84712,x84713,x84714,x84712,x84711,x84713,x84714)),
% 131.11/131.77 inference(rename_variables,[],[8330])).
% 131.11/131.77 cnf(8474,plain,
% 131.11/131.77 (P9(x84741,x84742,x84743,x84744,x84742,x84741,x84743,x84744)),
% 131.11/131.77 inference(rename_variables,[],[8330])).
% 131.11/131.77 cnf(8477,plain,
% 131.11/131.77 (P9(x84771,x84772,x84773,x84774,x84772,x84771,x84773,x84774)),
% 131.11/131.77 inference(rename_variables,[],[8330])).
% 131.11/131.77 cnf(8480,plain,
% 131.11/131.77 (P9(x84801,x84802,x84803,x84804,x84802,x84801,x84803,x84804)),
% 131.11/131.77 inference(rename_variables,[],[8330])).
% 131.11/131.77 cnf(8483,plain,
% 131.11/131.77 (P9(x84831,x84832,x84833,x84834,x84832,x84831,x84833,x84834)),
% 131.11/131.77 inference(rename_variables,[],[8330])).
% 131.11/131.77 cnf(8486,plain,
% 131.11/131.77 (P9(x84861,x84862,x84863,x84864,x84862,x84861,x84863,x84864)),
% 131.11/131.77 inference(rename_variables,[],[8330])).
% 131.11/131.77 cnf(8488,plain,
% 131.11/131.77 (P10(a1,f5(a1,a1,a18),a3,a16)),
% 131.11/131.77 inference(scs_inference,[],[8330,8471,8474,8477,8480,8483,8344,7081,7517,7568,7740,7962,7602,310])).
% 131.11/131.77 cnf(8489,plain,
% 131.11/131.77 (P3(x84891,f5(x84891,x84891,x84892),x84892,x84891)),
% 131.11/131.77 inference(rename_variables,[],[8344])).
% 131.11/131.77 cnf(8491,plain,
% 131.11/131.77 (P10(a1,a17,a3,a2)),
% 131.11/131.77 inference(scs_inference,[],[8330,8471,8474,8477,8480,8483,8396,8344,7081,7517,7568,7740,7962,7602,310,328])).
% 131.11/131.77 cnf(8492,plain,
% 131.11/131.77 (P3(x84921,x84922,x84922,x84921)),
% 131.11/131.77 inference(rename_variables,[],[8396])).
% 131.11/131.77 cnf(8494,plain,
% 131.11/131.77 (P10(a3,a1,a2,a16)),
% 131.11/131.77 inference(scs_inference,[],[8330,8471,8474,8477,8480,8483,8396,8492,8344,7081,7517,7568,7740,7962,7602,310,328,270])).
% 131.11/131.77 cnf(8495,plain,
% 131.11/131.77 (P3(x84951,x84952,x84952,x84951)),
% 131.11/131.77 inference(rename_variables,[],[8396])).
% 131.11/131.77 cnf(8497,plain,
% 131.11/131.77 (P7(f23(a3,a3,a3,a3,a3,a3),a2,a2)),
% 131.11/131.77 inference(scs_inference,[],[8330,8471,8474,8477,8480,8483,8396,8492,8344,8449,7081,7517,7568,7740,7962,7602,310,328,270,790])).
% 131.11/131.77 cnf(8499,plain,
% 131.11/131.77 (P8(a3,a17,a3,a17,a17,a17,a17,a17)),
% 131.11/131.77 inference(scs_inference,[],[8330,8471,8474,8477,8480,8483,8396,8492,8068,8344,8449,7081,7517,7568,7740,7962,7602,310,328,270,790,257])).
% 131.11/131.77 cnf(8501,plain,
% 131.11/131.77 (P7(f19(a2,x85011),x85011,a2)),
% 131.11/131.77 inference(scs_inference,[],[8330,8471,8474,8477,8480,8483,8396,8492,8068,8344,8464,8449,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152])).
% 131.11/131.77 cnf(8503,plain,
% 131.11/131.77 (P8(a3,a17,a17,a17,a17,a3,a17,a17)),
% 131.11/131.77 inference(scs_inference,[],[8330,8471,8474,8477,8480,8483,8396,8492,8068,8153,8344,8464,8449,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254])).
% 131.11/131.77 cnf(8505,plain,
% 131.11/131.77 (P10(a17,a1,a2,a3)),
% 131.11/131.77 inference(scs_inference,[],[8330,8471,8474,8477,8480,8483,8396,8492,8068,8153,8307,8344,8464,8449,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162])).
% 131.11/131.77 cnf(8507,plain,
% 131.11/131.77 (P8(a3,a16,a3,a3,a16,a2,a2,a2)),
% 131.11/131.77 inference(scs_inference,[],[8330,8471,8474,8477,8480,8483,8396,8492,8068,8153,8165,8307,8344,8464,8449,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256])).
% 131.11/131.77 cnf(8509,plain,
% 131.11/131.77 (P9(a3,a2,a3,a18,a2,a2,a2,a18)),
% 131.11/131.77 inference(scs_inference,[],[8330,8471,8474,8477,8480,8483,8396,8492,8068,8153,8165,8320,8307,8344,8464,8449,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222])).
% 131.11/131.77 cnf(8511,plain,
% 131.11/131.77 (P4(a2,a18,a2,a3)),
% 131.11/131.77 inference(scs_inference,[],[8330,8471,8474,8477,8480,8483,8396,8492,8068,8153,8165,8320,8307,8328,8344,8464,8449,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167])).
% 131.11/131.77 cnf(8513,plain,
% 131.11/131.77 (P8(a17,a17,a3,a17,a17,a17,a3,a17)),
% 131.11/131.77 inference(scs_inference,[],[8330,8471,8474,8477,8480,8483,8396,8492,8068,8153,8165,8320,8307,8328,8344,8464,8449,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255])).
% 131.11/131.77 cnf(8515,plain,
% 131.11/131.77 (P4(a16,a1,a16,a2)),
% 131.11/131.77 inference(scs_inference,[],[8330,8471,8474,8477,8480,8483,8396,8492,8068,8153,8229,8165,8320,8307,8328,8344,8464,8449,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168])).
% 131.11/131.77 cnf(8517,plain,
% 131.11/131.77 (P4(a16,a16,a2,a1)),
% 131.11/131.77 inference(scs_inference,[],[8330,8471,8474,8477,8480,8483,8396,8492,8068,8153,8229,8165,8320,8307,8328,8344,8464,8449,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169])).
% 131.11/131.77 cnf(8519,plain,
% 131.11/131.77 (P9(x85191,x85192,x85192,x85191,x85193,x85194,x85194,x85193)),
% 131.11/131.77 inference(scs_inference,[],[8330,8471,8474,8477,8480,8483,8334,8396,8492,8068,8153,8229,8165,8320,8307,8328,8344,8464,8449,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169,252])).
% 131.11/131.77 cnf(8521,plain,
% 131.11/131.77 (P9(x85211,x85212,x85213,x85214,x85211,x85212,x85214,x85213)),
% 131.11/131.77 inference(scs_inference,[],[8330,8471,8474,8477,8480,8483,8334,8396,8492,8068,8153,8229,8165,8320,8307,8328,8344,8464,8449,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169,252,253])).
% 131.11/131.77 cnf(8525,plain,
% 131.11/131.77 (P9(x85251,x85252,a2,a16,x85252,x85251,a16,a2)),
% 131.11/131.77 inference(scs_inference,[],[8330,8471,8474,8477,8480,8483,8334,8396,8492,8068,8153,8229,8165,8320,8332,8307,8328,8344,8464,8449,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169,252,253,250,251])).
% 131.11/131.77 cnf(8527,plain,
% 131.11/131.77 (P5(a3,a3,x85271,a3)),
% 131.11/131.77 inference(scs_inference,[],[8330,8471,8474,8477,8480,8483,8334,8396,8492,8495,8068,8153,8229,8410,8165,8320,8332,8307,8328,8344,8464,8449,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169,252,253,250,251,172])).
% 131.11/131.77 cnf(8528,plain,
% 131.11/131.77 (P3(x85281,x85282,x85282,x85281)),
% 131.11/131.77 inference(rename_variables,[],[8396])).
% 131.11/131.77 cnf(8530,plain,
% 131.11/131.77 (P5(a3,a3,a17,a17)),
% 131.11/131.77 inference(scs_inference,[],[8330,8471,8474,8477,8480,8483,8334,8396,8492,8495,8068,8153,8229,8410,8165,8320,8332,8307,8328,8392,8344,8464,8449,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169,252,253,250,251,172,181])).
% 131.11/131.77 cnf(8533,plain,
% 131.11/131.77 (P9(x85331,x85332,x85333,x85334,x85332,x85331,x85333,x85334)),
% 131.11/131.77 inference(rename_variables,[],[8330])).
% 131.11/131.77 cnf(8535,plain,
% 131.11/131.77 (P8(a2,a3,a3,a2,a2,a3,a3,a2)),
% 131.11/131.77 inference(scs_inference,[],[8330,8471,8474,8477,8480,8483,8486,8334,8396,8492,8495,8068,8153,8229,8410,8165,8320,8332,8307,8328,8392,8461,8344,8464,8449,8458,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169,252,253,250,251,172,181,240,221])).
% 131.11/131.77 cnf(8541,plain,
% 131.11/131.77 (P9(x85411,x85412,x85413,x85414,x85412,x85411,x85413,x85414)),
% 131.11/131.77 inference(rename_variables,[],[8330])).
% 131.11/131.77 cnf(8543,plain,
% 131.11/131.77 (P2(f9(a16,a16,a1),a16,a16,a1)),
% 131.11/131.77 inference(scs_inference,[],[8330,8471,8474,8477,8480,8483,8486,8533,8334,8396,8492,8495,8528,8068,8153,8229,8410,8165,8320,8332,8307,8328,8390,8392,8461,8344,8464,8449,8458,8221,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169,252,253,250,251,172,181,240,221,245,248,189])).
% 131.11/131.77 cnf(8544,plain,
% 131.11/131.77 (P3(x85441,x85442,x85442,x85441)),
% 131.11/131.77 inference(rename_variables,[],[8396])).
% 131.11/131.77 cnf(8547,plain,
% 131.11/131.77 (P3(x85471,x85472,x85472,x85471)),
% 131.11/131.77 inference(rename_variables,[],[8396])).
% 131.11/131.77 cnf(8550,plain,
% 131.11/131.77 (P3(x85501,x85502,x85502,x85501)),
% 131.11/131.77 inference(rename_variables,[],[8396])).
% 131.11/131.77 cnf(8552,plain,
% 131.11/131.77 (P10(f25(a17,x85521,a3,a17,a17),a3,a17,x85521)),
% 131.11/131.77 inference(scs_inference,[],[142,8330,8471,8474,8477,8480,8483,8486,8533,8334,8396,8492,8495,8528,8544,8547,8550,8068,8153,8229,8410,8165,8320,8332,8307,8328,8390,8392,8461,8344,8464,8449,8458,8221,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169,252,253,250,251,172,181,240,221,245,248,189,197,195,199])).
% 131.11/131.77 cnf(8553,plain,
% 131.11/131.77 (P3(x85531,x85532,x85532,x85531)),
% 131.11/131.77 inference(rename_variables,[],[8396])).
% 131.11/131.77 cnf(8555,plain,
% 131.11/131.77 (P5(x85551,a3,x85551,f25(a17,x85551,a3,a17,a17))),
% 131.11/131.77 inference(scs_inference,[],[142,8330,8471,8474,8477,8480,8483,8486,8533,8334,8396,8492,8495,8528,8544,8547,8550,8553,8068,8153,8229,8410,8165,8320,8332,8307,8328,8390,8392,8461,8344,8464,8449,8458,8221,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169,252,253,250,251,172,181,240,221,245,248,189,197,195,199,198])).
% 131.11/131.77 cnf(8556,plain,
% 131.11/131.77 (P3(x85561,x85562,x85562,x85561)),
% 131.11/131.77 inference(rename_variables,[],[8396])).
% 131.11/131.77 cnf(8558,plain,
% 131.11/131.77 (P5(a17,a3,a17,f4(a3,a17,a17))),
% 131.11/131.77 inference(scs_inference,[],[142,8330,8471,8474,8477,8480,8483,8486,8533,8334,8396,8492,8495,8528,8544,8547,8550,8553,8068,8153,8229,8410,8165,8320,8332,8307,8328,8390,8392,8461,8344,8464,8449,8458,8221,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169,252,253,250,251,172,181,240,221,245,248,189,197,195,199,198,186])).
% 131.11/131.77 cnf(8560,plain,
% 131.11/131.77 (P3(f13(a1,a1,x85601,a2,a16),a1,a2,a16)),
% 131.11/131.77 inference(scs_inference,[],[142,8330,8471,8474,8477,8480,8483,8486,8533,8334,8396,8492,8495,8528,8544,8547,8550,8553,8556,8068,8153,8229,8410,8165,8320,8332,8307,8328,8390,8392,8461,8344,8464,8449,8458,8221,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169,252,253,250,251,172,181,240,221,245,248,189,197,195,199,198,186,196])).
% 131.11/131.77 cnf(8561,plain,
% 131.11/131.77 (P3(x85611,x85612,x85612,x85611)),
% 131.11/131.77 inference(rename_variables,[],[8396])).
% 131.11/131.77 cnf(8565,plain,
% 131.11/131.77 (P5(a3,a3,a3,a2)),
% 131.11/131.77 inference(scs_inference,[],[142,8330,8471,8474,8477,8480,8483,8486,8533,8334,8396,8492,8495,8528,8544,8547,8550,8553,8556,8068,8153,8229,8410,8165,8320,8332,8307,8328,8390,8392,8461,8344,8464,8449,8458,8264,8221,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169,252,253,250,251,172,181,240,221,245,248,189,197,195,199,198,186,196,202,171])).
% 131.11/131.77 cnf(8569,plain,
% 131.11/131.77 (P3(x85691,x85692,x85692,x85691)),
% 131.11/131.77 inference(rename_variables,[],[8396])).
% 131.11/131.77 cnf(8571,plain,
% 131.11/131.77 (P1(f20(a3,a17,a17,a3),a17,a3)),
% 131.11/131.77 inference(scs_inference,[],[142,8330,8471,8474,8477,8480,8483,8486,8533,8334,8396,8492,8495,8528,8544,8547,8550,8553,8556,8561,8569,8068,8153,8229,8410,8165,8320,8332,8307,8328,8390,8392,8461,8344,8464,8449,8458,8264,8221,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169,252,253,250,251,172,181,240,221,245,248,189,197,195,199,198,186,196,202,171,191,192])).
% 131.11/131.77 cnf(8572,plain,
% 131.11/131.77 (P3(x85721,x85722,x85722,x85721)),
% 131.11/131.77 inference(rename_variables,[],[8396])).
% 131.11/131.77 cnf(8575,plain,
% 131.11/131.77 (P9(x85751,x85752,x85753,x85754,x85752,x85751,x85753,x85754)),
% 131.11/131.77 inference(rename_variables,[],[8330])).
% 131.11/131.77 cnf(8581,plain,
% 131.11/131.77 (P3(a3,a17,a3,a3)),
% 131.11/131.77 inference(scs_inference,[],[142,8330,8471,8474,8477,8480,8483,8486,8533,8541,8334,8396,8492,8495,8528,8544,8547,8550,8553,8556,8561,8569,8068,8153,8229,8410,8165,8320,8332,8307,8328,8390,8392,8461,8344,8464,8449,8458,8264,8221,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169,252,253,250,251,172,181,240,221,245,248,189,197,195,199,198,186,196,202,171,191,192,244,174,182,179])).
% 131.11/131.77 cnf(8585,plain,
% 131.11/131.77 (P10(a3,a1,a16,a2)),
% 131.11/131.77 inference(scs_inference,[],[142,8330,8471,8474,8477,8480,8483,8486,8533,8541,8575,8334,8396,8492,8495,8528,8544,8547,8550,8553,8556,8561,8569,8068,8153,8229,8410,8165,8312,8320,8332,8307,8328,8390,8392,8461,8344,8464,8449,8458,8264,8221,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169,252,253,250,251,172,181,240,221,245,248,189,197,195,199,198,186,196,202,171,191,192,244,174,182,179,203,238])).
% 131.11/131.77 cnf(8586,plain,
% 131.11/131.77 (P9(x85861,x85862,x85863,x85864,x85862,x85861,x85863,x85864)),
% 131.11/131.77 inference(rename_variables,[],[8330])).
% 131.11/131.77 cnf(8590,plain,
% 131.11/131.77 (P5(a18,a3,a18,a3)),
% 131.11/131.77 inference(scs_inference,[],[142,8330,8471,8474,8477,8480,8483,8486,8533,8541,8575,8334,8396,8492,8495,8528,8544,8547,8550,8553,8556,8561,8569,8068,8153,8229,8410,8430,8165,8312,8320,8332,8203,8307,8328,8390,8392,8461,8344,8464,8449,8458,8264,8221,8245,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169,252,253,250,251,172,181,240,221,245,248,189,197,195,199,198,186,196,202,171,191,192,244,174,182,179,203,238,201,241])).
% 131.11/131.77 cnf(8592,plain,
% 131.11/131.77 (P4(x85921,f22(x85921,x85921,x85921,x85921),x85921,x85921)),
% 131.11/131.77 inference(scs_inference,[],[142,8330,8471,8474,8477,8480,8483,8486,8533,8541,8575,8586,8334,8396,8492,8495,8528,8544,8547,8550,8553,8556,8561,8569,8068,8153,8229,8410,8430,8165,8312,8320,8332,8203,8307,8328,8390,8392,8461,8363,8344,8464,8449,8458,8264,8221,8245,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169,252,253,250,251,172,181,240,221,245,248,189,197,195,199,198,186,196,202,171,191,192,244,174,182,179,203,238,201,241,234])).
% 131.11/131.77 cnf(8593,plain,
% 131.11/131.77 (P9(x85931,x85932,x85933,x85934,x85932,x85931,x85933,x85934)),
% 131.11/131.77 inference(rename_variables,[],[8330])).
% 131.11/131.77 cnf(8595,plain,
% 131.11/131.77 (P9(a2,a3,a2,a2,a3,a18,a18,a2)),
% 131.11/131.77 inference(scs_inference,[],[142,8330,8471,8474,8477,8480,8483,8486,8533,8541,8575,8586,8593,8334,8396,8492,8495,8528,8544,8547,8550,8553,8556,8561,8569,8068,8153,8229,8410,8430,8165,8312,8320,8332,8203,8307,8322,8328,8390,8392,8461,8363,8344,8464,8449,8458,8264,8221,8245,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169,252,253,250,251,172,181,240,221,245,248,189,197,195,199,198,186,196,202,171,191,192,244,174,182,179,203,238,201,241,234,260])).
% 131.11/131.77 cnf(8596,plain,
% 131.11/131.77 (P9(x85961,x85962,x85963,x85964,x85962,x85961,x85963,x85964)),
% 131.11/131.77 inference(rename_variables,[],[8330])).
% 131.11/131.77 cnf(8600,plain,
% 131.11/131.77 (P4(a3,a17,a17,a17)),
% 131.11/131.77 inference(scs_inference,[],[142,8330,8471,8474,8477,8480,8483,8486,8533,8541,8575,8586,8593,8334,8396,8492,8495,8528,8544,8547,8550,8553,8556,8561,8569,8068,8153,8229,8410,8430,8165,8312,8320,8332,8203,8307,8322,8328,8390,8392,8461,8363,8344,8464,8449,8458,8264,8221,8245,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169,252,253,250,251,172,181,240,221,245,248,189,197,195,199,198,186,196,202,171,191,192,244,174,182,179,203,238,201,241,234,260,225,194])).
% 131.11/131.77 cnf(8606,plain,
% 131.11/131.77 (P1(f26(a3,a3,a3,a3,a3,a3),a3,a3)),
% 131.11/131.77 inference(scs_inference,[],[142,8330,8471,8474,8477,8480,8483,8486,8533,8541,8575,8586,8593,8334,8396,8492,8495,8528,8544,8547,8550,8553,8556,8561,8569,8572,8068,8153,8229,8410,8430,8165,8312,8320,8332,8203,8307,8322,8328,8390,8392,8461,8363,8344,8464,8449,8458,8201,8264,8221,5082,8245,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169,252,253,250,251,172,181,240,221,245,248,189,197,195,199,198,186,196,202,171,191,192,244,174,182,179,203,238,201,241,234,260,225,194,184,207])).
% 131.11/131.77 cnf(8608,plain,
% 131.11/131.77 (P10(x86081,x86082,x86082,x86081)),
% 131.11/131.77 inference(rename_variables,[],[8201])).
% 131.11/131.77 cnf(8611,plain,
% 131.11/131.77 (P10(x86111,x86112,x86112,x86111)),
% 131.11/131.77 inference(rename_variables,[],[8201])).
% 131.11/131.77 cnf(8614,plain,
% 131.11/131.77 (P5(a16,a16,a2,a2)),
% 131.11/131.77 inference(scs_inference,[],[142,8330,8471,8474,8477,8480,8483,8486,8533,8541,8575,8586,8593,8334,8396,8492,8495,8528,8544,8547,8550,8553,8556,8561,8569,8572,8068,8153,8229,8410,8430,8165,8312,8320,8332,8203,8307,8322,8328,8390,8392,8461,8363,8344,8464,8449,8458,8201,8608,8264,8221,8169,4794,5082,8245,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169,252,253,250,251,172,181,240,221,245,248,189,197,195,199,198,186,196,202,171,191,192,244,174,182,179,203,238,201,241,234,260,225,194,184,207,206,249])).
% 131.11/131.77 cnf(8617,plain,
% 131.11/131.77 (P7(f19(a3,x86171),a3,x86171)),
% 131.11/131.77 inference(scs_inference,[],[142,8330,8471,8474,8477,8480,8483,8486,8533,8541,8575,8586,8593,8334,8396,8492,8495,8528,8544,8547,8550,8553,8556,8561,8569,8572,8068,8153,8229,8410,8430,8165,8312,8320,8332,8203,8307,8322,8328,8390,8392,8461,8363,8367,8344,8464,8449,8458,8201,8608,8264,8221,8169,4794,5082,8245,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169,252,253,250,251,172,181,240,221,245,248,189,197,195,199,198,186,196,202,171,191,192,244,174,182,179,203,238,201,241,234,260,225,194,184,207,206,249,157])).
% 131.11/131.77 cnf(8620,plain,
% 131.11/131.77 (P8(a3,a17,a3,a17,a17,a1,a1,a1)),
% 131.11/131.77 inference(scs_inference,[],[142,8330,8471,8474,8477,8480,8483,8486,8533,8541,8575,8586,8593,8334,8396,8492,8495,8528,8544,8547,8550,8553,8556,8561,8569,8572,8068,8153,8229,8410,8430,8165,8312,8320,8332,8203,8307,8322,8328,8390,8392,8461,8363,8367,8344,8464,8449,8458,8201,8608,8264,8221,8169,4794,5082,8245,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169,252,253,250,251,172,181,240,221,245,248,189,197,195,199,198,186,196,202,171,191,192,244,174,182,179,203,238,201,241,234,260,225,194,184,207,206,249,157,4796])).
% 131.11/131.77 cnf(8625,plain,
% 131.11/131.77 (P9(x86251,x86252,x86253,x86254,x86252,x86251,x86253,x86254)),
% 131.11/131.77 inference(rename_variables,[],[8330])).
% 131.11/131.77 cnf(8627,plain,
% 131.11/131.77 (P3(f8(a3,a17,a17,a17),a3,a3,a17)),
% 131.11/131.77 inference(scs_inference,[],[142,8330,8471,8474,8477,8480,8483,8486,8533,8541,8575,8586,8593,8596,8334,8396,8492,8495,8528,8544,8547,8550,8553,8556,8561,8569,8572,8068,8153,8229,8410,8430,8165,8312,8320,8332,8203,8307,8322,8328,8390,8392,8461,8363,8367,8344,8464,8449,8458,8201,8608,8264,8221,8169,4794,5082,8245,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169,252,253,250,251,172,181,240,221,245,248,189,197,195,199,198,186,196,202,171,191,192,244,174,182,179,203,238,201,241,234,260,225,194,184,207,206,249,157,4796,8030,7979,185])).
% 131.11/131.77 cnf(8632,plain,
% 131.11/131.77 (P10(x86321,x86322,x86322,x86321)),
% 131.11/131.77 inference(rename_variables,[],[8201])).
% 131.11/131.77 cnf(8634,plain,
% 131.11/131.77 (P3(a17,a3,a17,a17)),
% 131.11/131.77 inference(scs_inference,[],[142,8330,8471,8474,8477,8480,8483,8486,8533,8541,8575,8586,8593,8596,8625,8334,8396,8492,8495,8528,8544,8547,8550,8553,8556,8561,8569,8572,8068,8153,8229,8410,8430,8165,8312,8320,8332,8203,8307,8322,8328,8390,8392,8461,8363,8367,8344,8464,8449,8458,8201,8608,8611,8264,8221,8169,4794,5082,8245,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169,252,253,250,251,172,181,240,221,245,248,189,197,195,199,198,186,196,202,171,191,192,244,174,182,179,203,238,201,241,234,260,225,194,184,207,206,249,157,4796,8030,7979,185,228,820,239])).
% 131.11/131.77 cnf(8637,plain,
% 131.11/131.77 (P3(f5(x86371,x86371,x86372),x86371,x86372,x86371)),
% 131.11/131.77 inference(scs_inference,[],[142,8330,8471,8474,8477,8480,8483,8486,8533,8541,8575,8586,8593,8596,8625,8334,8396,8492,8495,8528,8544,8547,8550,8553,8556,8561,8569,8572,8068,8153,8229,8410,8430,8165,8312,8320,8332,8203,8307,8322,8328,8390,8392,8461,8363,8367,8344,8489,8464,8449,8458,8201,8608,8611,8632,8264,8221,8169,4794,5082,8245,7081,7517,7568,7740,7962,7602,310,328,270,790,257,152,254,162,256,222,167,255,168,169,252,253,250,251,172,181,240,221,245,248,189,197,195,199,198,186,196,202,171,191,192,244,174,182,179,203,238,201,241,234,260,225,194,184,207,206,249,157,4796,8030,7979,185,228,820,239,180])).
% 131.11/131.77 cnf(8655,plain,
% 131.11/131.77 (P9(x86551,x86552,x86553,x86554,x86551,x86552,x86554,x86553)),
% 131.11/131.77 inference(rename_variables,[],[8521])).
% 131.11/131.77 cnf(8658,plain,
% 131.11/131.77 (P9(x86581,x86582,x86583,x86584,x86581,x86582,x86584,x86583)),
% 131.11/131.77 inference(rename_variables,[],[8521])).
% 131.11/131.77 cnf(8661,plain,
% 131.11/131.77 (P9(x86611,x86612,x86613,x86614,x86611,x86612,x86614,x86613)),
% 131.11/131.77 inference(rename_variables,[],[8521])).
% 131.11/131.77 cnf(8664,plain,
% 131.11/131.77 (P9(x86641,x86642,x86643,x86644,x86641,x86642,x86644,x86643)),
% 131.11/131.77 inference(rename_variables,[],[8521])).
% 131.11/131.77 cnf(8667,plain,
% 131.11/131.77 (P9(x86671,x86672,x86673,x86674,x86671,x86672,x86674,x86673)),
% 131.11/131.77 inference(rename_variables,[],[8521])).
% 131.11/131.77 cnf(8670,plain,
% 131.11/131.77 (P9(x86701,x86702,x86703,x86704,x86701,x86702,x86704,x86703)),
% 131.11/131.77 inference(rename_variables,[],[8521])).
% 131.11/131.77 cnf(8673,plain,
% 131.11/131.77 (P9(x86731,x86732,x86733,x86734,x86731,x86732,x86734,x86733)),
% 131.11/131.77 inference(rename_variables,[],[8521])).
% 131.11/131.77 cnf(8675,plain,
% 131.11/131.77 (P10(f5(a1,a1,a18),a1,a3,a16)),
% 131.11/131.77 inference(scs_inference,[],[8521,8655,8658,8661,8664,8667,8670,8637,6812,7447,7672,7723,7915,7081,7740,310])).
% 131.11/131.77 cnf(8676,plain,
% 131.11/131.77 (P3(f5(x86761,x86761,x86762),x86761,x86762,x86761)),
% 131.11/131.77 inference(rename_variables,[],[8637])).
% 131.11/131.77 cnf(8678,plain,
% 131.11/131.77 (P10(f5(a1,a1,a17),a1,a3,a2)),
% 131.11/131.77 inference(scs_inference,[],[8521,8655,8658,8661,8664,8667,8670,8637,8676,6812,7447,7672,7723,7915,7081,7740,310,328])).
% 131.11/131.77 cnf(8679,plain,
% 131.11/131.77 (P3(f5(x86791,x86791,x86792),x86791,x86792,x86791)),
% 131.11/131.77 inference(rename_variables,[],[8637])).
% 131.11/131.77 cnf(8686,plain,
% 131.11/131.77 (P10(f5(a3,a3,a1),a3,a2,a16)),
% 131.11/131.77 inference(scs_inference,[],[8521,8655,8658,8661,8664,8667,8670,8637,8676,8679,8454,8330,6812,7447,7672,7723,7915,7081,7740,310,328,7962,790,270])).
% 131.11/131.77 cnf(8687,plain,
% 131.11/131.77 (P3(f5(x86871,x86871,x86872),x86871,x86872,x86871)),
% 131.11/131.77 inference(rename_variables,[],[8637])).
% 131.11/131.77 cnf(8690,plain,
% 131.11/131.77 (P9(x86901,x86902,a2,a16,x86902,x86901,a16,a2)),
% 131.11/131.77 inference(rename_variables,[],[8525])).
% 131.11/131.77 cnf(8692,plain,
% 131.11/131.77 (P7(f19(a3,x86921),x86921,a3)),
% 131.11/131.77 inference(scs_inference,[],[8521,8655,8658,8661,8664,8667,8670,8525,8637,8676,8679,8454,8617,8330,6812,7447,7672,7723,7915,7081,7740,310,328,7962,790,270,7979,152])).
% 131.11/131.77 cnf(8694,plain,
% 131.11/131.77 (P8(a17,a3,a3,a18,a17,a17,a18,a18)),
% 131.11/131.77 inference(scs_inference,[],[8521,8655,8658,8661,8664,8667,8670,8180,8525,8637,8676,8679,8454,8617,8330,6812,7447,7672,7723,7915,7081,7740,310,328,7962,790,270,7979,152,257])).
% 131.11/131.77 cnf(8696,plain,
% 131.11/131.77 (P8(a3,a18,a18,a18,a17,a3,a17,a17)),
% 131.11/131.77 inference(scs_inference,[],[8521,8655,8658,8661,8664,8667,8670,8180,8525,8637,8676,8679,8454,8617,8330,6812,7447,7672,7723,7915,7081,7740,310,328,7962,790,270,7979,152,257,254])).
% 131.11/131.77 cnf(8698,plain,
% 131.11/131.77 (P10(a1,a18,a16,a3)),
% 131.11/131.77 inference(scs_inference,[],[8521,8655,8658,8661,8664,8667,8670,8180,8405,8525,8637,8676,8679,8454,8617,8330,6812,7447,7672,7723,7915,7081,7740,310,328,7962,790,270,7979,152,257,254,162])).
% 131.11/131.77 cnf(8700,plain,
% 131.11/131.77 (P8(a3,a2,a3,a3,a2,a2,a2,a2)),
% 131.11/131.77 inference(scs_inference,[],[8521,8655,8658,8661,8664,8667,8670,8180,8394,8405,8525,8637,8676,8679,8454,8617,8330,6812,7447,7672,7723,7915,7081,7740,310,328,7962,790,270,7979,152,257,254,162,256])).
% 131.11/131.77 cnf(8702,plain,
% 131.11/131.77 (P4(a1,a16,a16,a2)),
% 131.11/131.77 inference(scs_inference,[],[8521,8655,8658,8661,8664,8667,8670,8180,8394,8405,8525,8515,8637,8676,8679,8454,8617,8330,6812,7447,7672,7723,7915,7081,7740,310,328,7962,790,270,7979,152,257,254,162,256,167])).
% 131.11/131.77 cnf(8704,plain,
% 131.11/131.77 (P9(a18,a2,a18,a3,a2,a2,a2,a3)),
% 131.11/131.77 inference(scs_inference,[],[8521,8655,8658,8661,8664,8667,8670,8180,8394,8405,8525,8211,8515,8637,8676,8679,8454,8617,8330,6812,7447,7672,7723,7915,7081,7740,310,328,7962,790,270,7979,152,257,254,162,256,167,222])).
% 131.11/131.77 cnf(8706,plain,
% 131.11/131.77 (P8(a17,a17,a17,a3,a18,a18,a3,a18)),
% 131.11/131.77 inference(scs_inference,[],[8521,8655,8658,8661,8664,8667,8670,8180,8394,8405,8525,8211,8515,8637,8676,8679,8454,8617,8330,6812,7447,7672,7723,7915,7081,7740,310,328,7962,790,270,7979,152,257,254,162,256,167,222,255])).
% 131.11/131.77 cnf(8708,plain,
% 131.11/131.77 (P4(a2,a2,a18,a3)),
% 131.11/131.77 inference(scs_inference,[],[8521,8655,8658,8661,8664,8667,8670,8180,8394,8405,8525,8211,8511,8515,8637,8676,8679,8454,8617,8330,6812,7447,7672,7723,7915,7081,7740,310,328,7962,790,270,7979,152,257,254,162,256,167,222,255,168])).
% 131.11/131.77 cnf(8710,plain,
% 131.11/131.77 (P4(a16,a1,a2,a16)),
% 131.11/131.77 inference(scs_inference,[],[8521,8655,8658,8661,8664,8667,8670,8180,8394,8405,8525,8211,8511,8515,8637,8676,8679,8454,8617,8330,6812,7447,7672,7723,7915,7081,7740,310,328,7962,790,270,7979,152,257,254,162,256,167,222,255,168,169])).
% 131.11/131.77 cnf(8712,plain,
% 131.11/131.77 (P9(x87121,x87122,x87123,x87124,x87122,x87121,x87124,x87123)),
% 131.11/131.77 inference(scs_inference,[],[8521,8655,8658,8661,8664,8667,8670,8673,8180,8394,8405,8525,8211,8511,8515,8637,8676,8679,8454,8617,8330,6812,7447,7672,7723,7915,7081,7740,310,328,7962,790,270,7979,152,257,254,162,256,167,222,255,168,169,252])).
% 131.11/131.77 cnf(8716,plain,
% 131.11/131.77 (P9(a2,a2,a2,a18,a3,a2,a3,a18)),
% 131.11/131.77 inference(scs_inference,[],[8521,8655,8658,8661,8664,8667,8670,8673,8180,8394,8405,8525,8211,8509,8511,8515,8637,8676,8679,8454,8617,8330,6812,7447,7672,7723,7915,7081,7740,310,328,7962,790,270,7979,152,257,254,162,256,167,222,255,168,169,252,253,250])).
% 131.11/131.77 cnf(8718,plain,
% 131.11/131.77 (P9(a3,a18,a3,a2,a2,a18,a2,a2)),
% 131.11/131.77 inference(scs_inference,[],[8521,8655,8658,8661,8664,8667,8670,8673,8180,8394,8405,8525,8211,8509,8511,8515,8637,8676,8679,8454,8617,8330,6812,7447,7672,7723,7915,7081,7740,310,328,7962,790,270,7979,152,257,254,162,256,167,222,255,168,169,252,253,250,251])).
% 131.11/131.77 cnf(8721,plain,
% 131.11/131.77 (P10(x87211,x87212,x87212,x87211)),
% 131.11/131.77 inference(rename_variables,[],[8201])).
% 131.11/131.77 cnf(8726,plain,
% 131.11/131.77 (P3(x87261,x87262,x87262,x87261)),
% 131.11/131.77 inference(rename_variables,[],[8396])).
% 131.11/131.77 cnf(8728,plain,
% 131.11/131.77 (P2(f9(a2,a2,a3),a2,a2,a3)),
% 131.11/131.77 inference(scs_inference,[],[8521,8655,8658,8661,8664,8667,8670,8673,8180,8394,8405,8525,8211,8326,8509,8511,8515,8590,8637,8676,8679,8454,8617,8330,8396,8726,8201,6812,7447,7672,7723,7915,7081,7740,310,328,7962,790,270,7979,152,257,254,162,256,167,222,255,168,169,252,253,250,251,820,221,186,189])).
% 131.11/131.77 cnf(8729,plain,
% 131.11/131.77 (P3(x87291,x87292,x87292,x87291)),
% 131.11/131.77 inference(rename_variables,[],[8396])).
% 131.11/131.77 cnf(8732,plain,
% 131.11/131.77 (P3(x87321,x87322,x87322,x87321)),
% 131.11/131.77 inference(rename_variables,[],[8396])).
% 131.11/131.77 cnf(8737,plain,
% 131.11/131.77 (P3(x87371,x87372,x87372,x87371)),
% 131.11/131.77 inference(rename_variables,[],[8396])).
% 131.11/131.77 cnf(8738,plain,
% 131.11/131.77 (P5(a3,a3,x87381,a3)),
% 131.11/131.77 inference(rename_variables,[],[8527])).
% 131.11/131.77 cnf(8740,plain,
% 131.11/131.77 (P5(f5(a3,a3,a3),a3,f5(a3,a3,a3),a3)),
% 131.11/131.77 inference(scs_inference,[],[8521,8655,8658,8661,8664,8667,8670,8673,8180,8394,8405,8525,8527,8211,8326,8509,8511,8515,8590,8637,8676,8679,8687,8454,8617,8466,8330,8396,8726,8729,8732,8201,8410,6812,7447,7672,7723,7915,7081,7740,310,328,7962,790,270,7979,152,257,254,162,256,167,222,255,168,169,252,253,250,251,820,221,186,189,174,202,197,171])).
% 131.11/131.77 cnf(8741,plain,
% 131.11/131.77 (P3(f5(x87411,x87411,x87412),x87411,x87412,x87411)),
% 131.11/131.77 inference(rename_variables,[],[8637])).
% 131.11/131.77 cnf(8743,plain,
% 131.11/131.77 (P10(f25(a3,x87431,a3,a3,a3),a3,a3,x87431)),
% 131.11/131.77 inference(scs_inference,[],[8521,8655,8658,8661,8664,8667,8670,8673,8180,8394,8405,8525,8527,8738,8211,8326,8509,8511,8515,8590,8637,8676,8679,8687,8454,8617,8466,8330,8396,8726,8729,8732,8737,8201,8410,6812,7447,7672,7723,7915,7081,7740,310,328,7962,790,270,7979,152,257,254,162,256,167,222,255,168,169,252,253,250,251,820,221,186,189,174,202,197,171,199])).
% 131.11/131.77 cnf(8745,plain,
% 131.11/131.77 (P5(a3,a3,x87451,a3)),
% 131.11/131.77 inference(rename_variables,[],[8527])).
% 131.11/131.77 cnf(8748,plain,
% 131.11/131.77 (P5(a3,a3,x87481,a3)),
% 131.11/131.77 inference(rename_variables,[],[8527])).
% 131.11/131.77 cnf(8750,plain,
% 131.11/131.77 (P3(a3,x87501,a3,a3)),
% 131.11/131.77 inference(scs_inference,[],[8521,8655,8658,8661,8664,8667,8670,8673,8180,8394,8405,8525,8527,8738,8745,8748,8211,8326,8509,8511,8515,8581,8590,8637,8676,8679,8687,8454,8617,8466,8330,8396,8726,8729,8732,8737,8201,8410,6812,7447,7672,7723,7915,7081,7740,310,328,7962,790,270,7979,152,257,254,162,256,167,222,255,168,169,252,253,250,251,820,221,186,189,174,202,197,171,199,191,179])).
% 131.11/131.77 cnf(8753,plain,
% 131.11/131.77 (P5(a3,a3,x87531,a3)),
% 131.11/131.77 inference(rename_variables,[],[8527])).
% 131.11/131.77 cnf(8755,plain,
% 131.11/131.77 (P2(a3,a3,a2,a2)),
% 131.11/131.77 inference(scs_inference,[],[8521,8655,8658,8661,8664,8667,8670,8673,8180,8394,8405,8525,8527,8738,8745,8748,8211,8326,8509,8511,8515,8565,8581,8590,8637,8676,8679,8687,8454,8617,8466,8330,8396,8726,8729,8732,8737,8201,8410,6812,7447,7672,7723,7915,7081,7740,310,328,7962,790,270,7979,152,257,254,162,256,167,222,255,168,169,252,253,250,251,820,221,186,189,174,202,197,171,199,191,179,192,182])).
% 131.11/131.77 cnf(8759,plain,
% 131.11/131.77 (P10(a1,a17,a2,a3)),
% 131.11/131.77 inference(scs_inference,[],[8521,8655,8658,8661,8664,8667,8670,8673,8180,8394,8405,8525,8527,8738,8745,8748,8211,8326,8491,8509,8511,8515,8565,8581,8590,8637,8676,8679,8687,8454,8617,8466,8330,8396,8726,8729,8732,8737,8201,8410,6812,7447,7672,7723,7915,7081,7740,310,328,7962,790,270,7979,152,257,254,162,256,167,222,255,168,169,252,253,250,251,820,221,186,189,174,202,197,171,199,191,179,192,182,203,238])).
% 131.11/131.77 cnf(8760,plain,
% 131.11/131.77 (P9(x87601,x87602,x87603,x87604,x87601,x87602,x87604,x87603)),
% 131.11/131.77 inference(rename_variables,[],[8521])).
% 131.11/131.77 cnf(8768,plain,
% 131.11/131.77 (P4(x87681,x87681,f22(x87681,x87681,x87681,x87681),x87681)),
% 131.11/131.77 inference(scs_inference,[],[8521,8655,8658,8661,8664,8667,8670,8673,8180,8394,8405,8525,8690,8527,8738,8745,8748,8211,8326,8491,8509,8511,8515,8565,8581,8590,8371,8637,8676,8679,8687,8741,8454,8617,8466,8330,8396,8726,8729,8732,8737,8201,8334,8410,6812,7447,7672,7723,7915,7081,7740,310,328,7962,790,270,7979,152,257,254,162,256,167,222,255,168,169,252,253,250,251,820,221,186,189,174,202,197,171,199,191,179,192,182,203,238,201,239,234])).
% 131.11/131.77 cnf(8770,plain,
% 131.11/131.77 (P9(x87701,x87702,x87701,x87702,x87703,x87704,x87704,x87703)),
% 131.11/131.77 inference(rename_variables,[],[8334])).
% 131.11/131.77 cnf(8772,plain,
% 131.11/131.77 (P9(a3,a2,a18,a3,a2,a2,a2,a18)),
% 131.11/131.77 inference(scs_inference,[],[8521,8655,8658,8661,8664,8667,8670,8673,8760,8180,8394,8405,8525,8690,8527,8738,8745,8748,8211,8326,8491,8509,8511,8515,8565,8581,8590,8371,8637,8676,8679,8687,8741,8454,8617,8466,8330,8396,8726,8729,8732,8737,8201,8334,8410,6812,7447,7672,7723,7915,7081,7740,310,328,7962,790,270,7979,152,257,254,162,256,167,222,255,168,169,252,253,250,251,820,221,186,189,174,202,197,171,199,191,179,192,182,203,238,201,239,234,260])).
% 131.11/131.77 cnf(8773,plain,
% 131.11/131.77 (P9(x87731,x87732,x87733,x87734,x87731,x87732,x87734,x87733)),
% 131.11/131.77 inference(rename_variables,[],[8521])).
% 131.11/131.77 cnf(8780,plain,
% 131.11/131.77 (P7(a1,a2,a16)),
% 131.11/131.77 inference(scs_inference,[],[142,8521,8655,8658,8661,8664,8667,8670,8673,8760,8180,8394,8405,8525,8690,8527,8738,8745,8748,8211,8326,8491,8494,8509,8511,8515,8565,8581,8590,8371,8637,8676,8679,8687,8741,8454,8617,8348,8466,8330,8396,8726,8729,8732,8737,8264,8430,8201,8334,8410,6812,7447,7672,7723,7915,7081,7740,310,328,7962,790,270,7979,152,257,254,162,256,167,222,255,168,169,252,253,250,251,820,221,186,189,174,202,197,171,199,191,179,192,182,203,238,201,239,234,260,225,184,160])).
% 131.11/131.77 cnf(8783,plain,
% 131.11/131.77 (P10(x87831,x87832,x87832,x87831)),
% 131.11/131.77 inference(rename_variables,[],[8201])).
% 131.11/131.77 cnf(8788,plain,
% 131.11/131.77 (P7(f19(a17,x87881),a17,x87881)),
% 131.11/131.77 inference(scs_inference,[],[142,8521,8655,8658,8661,8664,8667,8670,8673,8760,8180,8394,8405,8525,8690,8527,8738,8745,8748,8211,8326,8491,8494,8509,8511,8515,8565,8581,8590,8371,8637,8676,8679,8687,8741,8454,8501,8617,8571,8348,8466,8330,8396,8726,8729,8732,8737,5088,8264,8430,8201,8721,8783,8334,8410,5076,6812,7447,7672,7723,7915,7081,7740,310,328,7962,790,270,7979,152,257,254,162,256,167,222,255,168,169,252,253,250,251,820,221,186,189,174,202,197,171,199,191,179,192,182,203,238,201,239,234,260,225,184,160,204,205,157])).
% 131.11/131.77 cnf(8791,plain,
% 131.11/131.77 (P5(a2,a2,a18,a18)),
% 131.11/131.77 inference(scs_inference,[],[142,8521,8655,8658,8661,8664,8667,8670,8673,8760,8180,8394,8405,8525,8690,8527,8738,8745,8748,8211,8326,8491,8494,8509,8511,8515,8565,8581,8590,8371,8637,8676,8679,8687,8741,8454,8501,8617,8571,8348,8466,8330,8396,8726,8729,8732,8737,5088,8264,8430,8201,8721,8783,8334,8770,8410,5076,6812,7447,7672,7723,7915,7081,7740,310,328,7962,790,270,7979,152,257,254,162,256,167,222,255,168,169,252,253,250,251,820,221,186,189,174,202,197,171,199,191,179,192,182,203,238,201,239,234,260,225,184,160,204,205,157,249])).
% 131.11/131.77 cnf(8801,plain,
% 131.11/131.77 (P3(a3,a2,a2,a2)),
% 131.11/131.77 inference(scs_inference,[],[142,8521,8655,8658,8661,8664,8667,8670,8673,8760,8773,8180,8394,8405,8525,8690,8527,8738,8745,8748,8753,8211,8326,8491,8494,8509,8511,8515,8565,8581,8590,8371,8637,8676,8679,8687,8741,8454,8501,8617,8571,8348,8466,8330,8396,8726,8729,8732,8737,5088,8264,8430,8201,8721,8783,8334,8770,8410,5076,4665,6812,7447,7672,7723,7915,7081,7740,310,328,7962,790,270,7979,152,257,254,162,256,167,222,255,168,169,252,253,250,251,820,221,186,189,174,202,197,171,199,191,179,192,182,203,238,201,239,234,260,225,184,160,204,205,157,249,7938,185,218,170])).
% 131.11/131.77 cnf(8819,plain,
% 131.11/131.77 (P9(x88191,x88192,x88193,x88194,x88192,x88191,x88194,x88193)),
% 131.11/131.77 inference(rename_variables,[],[8712])).
% 131.11/131.77 cnf(8822,plain,
% 131.11/131.77 (P9(x88221,x88222,x88223,x88224,x88222,x88221,x88224,x88223)),
% 131.11/131.77 inference(rename_variables,[],[8712])).
% 131.11/131.77 cnf(8825,plain,
% 131.11/131.77 (P9(x88251,x88252,x88253,x88254,x88252,x88251,x88254,x88253)),
% 131.11/131.77 inference(rename_variables,[],[8712])).
% 131.11/131.77 cnf(8828,plain,
% 131.11/131.77 (P9(x88281,x88282,x88283,x88284,x88282,x88281,x88284,x88283)),
% 131.11/131.77 inference(rename_variables,[],[8712])).
% 131.11/131.77 cnf(8831,plain,
% 131.11/131.77 (P9(x88311,x88312,x88313,x88314,x88312,x88311,x88314,x88313)),
% 131.11/131.77 inference(rename_variables,[],[8712])).
% 131.11/131.77 cnf(8834,plain,
% 131.11/131.77 (P9(x88341,x88342,x88343,x88344,x88342,x88341,x88344,x88343)),
% 131.11/131.77 inference(rename_variables,[],[8712])).
% 131.11/131.77 cnf(8837,plain,
% 131.11/131.77 (P9(x88371,x88372,x88373,x88374,x88372,x88371,x88374,x88373)),
% 131.11/131.77 inference(rename_variables,[],[8712])).
% 131.11/131.77 cnf(8840,plain,
% 131.11/131.77 (P9(x88401,x88402,x88403,x88404,x88402,x88401,x88404,x88403)),
% 131.11/131.77 inference(rename_variables,[],[8712])).
% 131.11/131.77 cnf(8843,plain,
% 131.11/131.77 (P9(x88431,x88432,x88433,x88434,x88432,x88431,x88434,x88433)),
% 131.11/131.77 inference(rename_variables,[],[8712])).
% 131.11/131.77 cnf(8845,plain,
% 131.11/131.77 (P10(a1,f6(a1,a1,a18),a3,a16)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8346,6691,6829,6846,7170,7466,7534,6812,7081,7740,310])).
% 131.11/131.77 cnf(8846,plain,
% 131.11/131.77 (P3(x88461,f6(x88461,x88461,x88462),x88462,x88461)),
% 131.11/131.77 inference(rename_variables,[],[8346])).
% 131.11/131.77 cnf(8849,plain,
% 131.11/131.77 (P9(x88491,x88492,x88493,x88494,x88492,x88491,x88494,x88493)),
% 131.11/131.77 inference(rename_variables,[],[8712])).
% 131.11/131.77 cnf(8851,plain,
% 131.11/131.77 (P10(a3,f6(a3,a3,a1),a2,a16)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8346,8846,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270])).
% 131.11/131.77 cnf(8852,plain,
% 131.11/131.77 (P3(x88521,f6(x88521,x88521,x88522),x88522,x88521)),
% 131.11/131.77 inference(rename_variables,[],[8346])).
% 131.11/131.77 cnf(8854,plain,
% 131.11/131.77 (P10(a1,f6(a1,a1,a17),a3,a2)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8346,8846,8852,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328])).
% 131.11/131.77 cnf(8857,plain,
% 131.11/131.77 (P7(f19(a3,a3),a2,a2)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8692,8346,8846,8852,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790])).
% 131.11/131.77 cnf(8858,plain,
% 131.11/131.77 (P7(f19(a3,x88581),x88581,a3)),
% 131.11/131.77 inference(rename_variables,[],[8692])).
% 131.11/131.77 cnf(8860,plain,
% 131.11/131.77 (P7(a1,a16,a2)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8780,8692,8346,8846,8852,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152])).
% 131.11/131.77 cnf(8862,plain,
% 131.11/131.77 (P8(a3,a17,a17,a1,a3,a17,a1,a1)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8620,8780,8692,8346,8846,8852,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257])).
% 131.11/131.77 cnf(8866,plain,
% 131.11/131.77 (P8(a17,a1,a1,a1,a3,a17,a3,a17)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8620,8780,8692,8552,8346,8846,8852,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254])).
% 131.11/131.77 cnf(8868,plain,
% 131.11/131.77 (P4(a1,a16,a2,a16)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8620,8780,8710,8692,8552,8346,8846,8852,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254,167])).
% 131.11/131.77 cnf(8870,plain,
% 131.11/131.77 (P8(a17,a3,a3,a17,a17,a1,a1,a1)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8620,8780,8710,8692,8552,8346,8846,8852,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254,167,256])).
% 131.11/131.77 cnf(8872,plain,
% 131.11/131.77 (P9(a16,a1,a16,a16,a2,a1,a2,a16)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8620,8780,8702,8710,8692,8552,8346,8846,8852,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254,167,256,222])).
% 131.11/131.77 cnf(8874,plain,
% 131.11/131.77 (P8(a3,a17,a3,a17,a1,a1,a17,a1)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8620,8780,8702,8710,8692,8552,8346,8846,8852,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254,167,256,222,255])).
% 131.11/131.77 cnf(8876,plain,
% 131.11/131.77 (P4(a16,a2,a16,a1)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8620,8780,8517,8702,8710,8692,8552,8346,8846,8852,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254,167,256,222,255,168])).
% 131.11/131.77 cnf(8878,plain,
% 131.11/131.77 (P4(x88781,x88781,x88781,f22(x88781,x88781,x88781,x88781))),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8620,8780,8517,8702,8710,8768,8692,8552,8346,8846,8852,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254,167,256,222,255,168,169])).
% 131.11/131.77 cnf(8880,plain,
% 131.11/131.77 (P9(a3,a2,a2,a2,a3,a18,a18,a2)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8620,8780,8517,8595,8702,8710,8768,8692,8552,8346,8846,8852,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254,167,256,222,255,168,169,252])).
% 131.11/131.77 cnf(8882,plain,
% 131.11/131.77 (P9(a2,a3,a3,a18,a2,a2,a18,a2)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8620,8780,8517,8595,8702,8710,8768,8692,8552,8346,8846,8852,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254,167,256,222,255,168,169,252,253])).
% 131.11/131.77 cnf(8884,plain,
% 131.11/131.77 (P9(a3,a18,a18,a2,a2,a3,a2,a2)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8620,8780,8517,8595,8702,8710,8768,8692,8552,8346,8846,8852,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254,167,256,222,255,168,169,252,253,250])).
% 131.11/131.77 cnf(8886,plain,
% 131.11/131.77 (P9(a2,a2,a2,a3,a18,a2,a3,a18)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8620,8780,8517,8595,8702,8710,8768,8692,8552,8346,8846,8852,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254,167,256,222,255,168,169,252,253,250,251])).
% 131.11/131.77 cnf(8888,plain,
% 131.11/131.77 (P10(a1,a1,a16,a16)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8620,8780,8517,8595,8702,8710,8768,8692,8552,8346,8846,8852,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254,167,256,222,255,168,169,252,253,250,251,156])).
% 131.11/131.77 cnf(8898,plain,
% 131.11/131.77 (P7(f5(a3,a3,a3),a3,a3)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8620,8780,8517,8595,8702,8710,8801,8768,8386,8692,8858,8788,8740,8552,8346,8846,8852,6720,8169,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254,167,256,222,255,168,169,252,253,250,251,156,820,221,195,159])).
% 131.11/131.77 cnf(8901,plain,
% 131.11/131.77 (P10(a2,a2,a16,a16)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8620,8780,8517,8595,8702,8710,8801,8768,8386,8692,8858,8788,8740,8552,8346,8846,8852,6720,8169,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254,167,256,222,255,168,169,252,253,250,251,156,820,221,195,159,155])).
% 131.11/131.77 cnf(8904,plain,
% 131.11/131.77 (P3(a3,x89041,a3,a3)),
% 131.11/131.77 inference(rename_variables,[],[8750])).
% 131.11/131.77 cnf(8908,plain,
% 131.11/131.77 (P2(f9(a2,a2,a18),a2,a2,a18)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8620,8780,8708,8750,8517,8595,8702,8710,8801,8768,8386,8692,8858,8788,8740,8552,8346,8846,8852,8565,8396,6720,8169,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254,167,256,222,255,168,169,252,253,250,251,156,820,221,195,159,155,198,196,189])).
% 131.11/131.77 cnf(8912,plain,
% 131.11/131.77 (P3(a3,x89121,a3,a3)),
% 131.11/131.77 inference(rename_variables,[],[8750])).
% 131.11/131.77 cnf(8914,plain,
% 131.11/131.77 (P10(f23(a2,a16,a2,a16,a1,a1),a1,a2,a2)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8620,8780,8708,8750,8904,8517,8595,8702,8710,8801,8768,8386,8692,8858,8788,8740,8552,8346,8846,8852,8565,8396,6720,8169,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254,167,256,222,255,168,169,252,253,250,251,156,820,221,195,159,155,198,196,189,199,202])).
% 131.11/131.77 cnf(8919,plain,
% 131.11/131.77 (P5(a3,a3,x89191,a3)),
% 131.11/131.77 inference(rename_variables,[],[8527])).
% 131.11/131.77 cnf(8931,plain,
% 131.11/131.77 (P10(f23(a2,a16,a2,a16,a1,a1),a1,a16,a16)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8620,8780,8708,8750,8904,8912,8517,8595,8702,8710,8801,8768,8386,8341,8555,8692,8858,8788,8740,8552,8560,8346,8846,8852,8527,8919,8565,8396,6720,8169,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254,167,256,222,255,168,169,252,253,250,251,156,820,221,195,159,155,198,196,189,199,202,171,191,179,192,182,201,203])).
% 131.11/131.77 cnf(8933,plain,
% 131.11/131.77 (P3(x89331,a3,a3,a3)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8849,8620,8780,8708,8750,8904,8912,8517,8595,8702,8710,8801,8768,8386,8341,8555,8692,8858,8788,8740,8552,8560,8346,8846,8852,8527,8919,8565,8396,6720,8169,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254,167,256,222,255,168,169,252,253,250,251,156,820,221,195,159,155,198,196,189,199,202,171,191,179,192,182,201,203,239])).
% 131.11/131.77 cnf(8935,plain,
% 131.11/131.77 (P9(x89351,x89352,x89353,x89354,x89352,x89351,x89354,x89353)),
% 131.11/131.77 inference(rename_variables,[],[8712])).
% 131.11/131.77 cnf(8937,plain,
% 131.11/131.77 (P4(a18,a18,a18,a18)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8849,8935,8620,8780,8708,8750,8904,8912,8517,8595,8702,8710,8801,8768,8386,8341,8555,8692,8858,8788,8740,8552,8560,8346,8846,8852,8527,8919,8565,8396,6720,4788,8169,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254,167,256,222,255,168,169,252,253,250,251,156,820,221,195,159,155,198,196,189,199,202,171,191,179,192,182,201,203,239,234])).
% 131.11/131.77 cnf(8938,plain,
% 131.11/131.77 (P9(x89381,x89382,x89383,x89384,x89382,x89381,x89384,x89383)),
% 131.11/131.77 inference(rename_variables,[],[8712])).
% 131.11/131.77 cnf(8940,plain,
% 131.11/131.77 (P8(a3,a17,a3,a17,a3,a17,a3,a17)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8849,8935,8620,8780,8708,8750,8904,8912,8517,8595,8702,8710,8801,8768,8386,8341,8555,8692,8858,8788,8740,8552,8560,8346,8846,8852,8527,8919,8565,8396,6720,4788,8169,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254,167,256,222,255,168,169,252,253,250,251,156,820,221,195,159,155,198,196,189,199,202,171,191,179,192,182,201,203,239,234,261])).
% 131.11/131.77 cnf(8942,plain,
% 131.11/131.77 (P9(a2,a3,a2,a2,a18,a3,a2,a18)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8849,8935,8938,8620,8780,8708,8750,8904,8912,8517,8595,8702,8710,8801,8768,8386,8341,8555,8692,8858,8788,8740,8552,8560,8346,8846,8852,8527,8919,8565,8396,6720,4788,8169,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254,167,256,222,255,168,169,252,253,250,251,156,820,221,195,159,155,198,196,189,199,202,171,191,179,192,182,201,203,239,234,261,260])).
% 131.11/131.77 cnf(8943,plain,
% 131.11/131.77 (P9(x89431,x89432,x89433,x89434,x89432,x89431,x89434,x89433)),
% 131.11/131.77 inference(rename_variables,[],[8712])).
% 131.11/131.77 cnf(8948,plain,
% 131.11/131.77 (P7(a3,a16,a16)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8849,8935,8938,8620,8780,8301,8708,8750,8904,8912,8517,8595,8702,8710,8801,8768,8386,8341,8555,8692,8858,8788,8740,8552,8560,8728,8346,8846,8852,8527,8919,8565,8396,6720,4307,4788,8169,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254,167,256,222,255,168,169,252,253,250,251,156,820,221,195,159,155,198,196,189,199,202,171,191,179,192,182,201,203,239,234,261,260,225,160])).
% 131.11/131.77 cnf(8950,plain,
% 131.11/131.77 (P7(f23(a2,a16,a2,a16,a1,a1),a16,a2)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8849,8935,8938,8620,8780,8301,8708,8750,8904,8912,8517,8595,8702,8710,8801,8768,8386,8341,8555,8692,8858,8788,8740,8552,8560,8728,8346,8846,8852,8527,8919,8565,8396,6720,4307,4788,8201,8169,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254,167,256,222,255,168,169,252,253,250,251,156,820,221,195,159,155,198,196,189,199,202,171,191,179,192,182,201,203,239,234,261,260,225,160,173])).
% 131.11/131.77 cnf(8951,plain,
% 131.11/131.77 (P10(x89511,x89512,x89512,x89511)),
% 131.11/131.77 inference(rename_variables,[],[8201])).
% 131.11/131.77 cnf(8954,plain,
% 131.11/131.77 (P10(x89541,x89542,x89542,x89541)),
% 131.11/131.77 inference(rename_variables,[],[8201])).
% 131.11/131.77 cnf(8959,plain,
% 131.11/131.77 (P7(f19(a16,x89591),a16,x89591)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8849,8935,8938,8620,8780,8301,8708,8750,8904,8912,8517,8595,8702,8710,8801,8768,8386,8341,8555,8692,8858,8788,8740,8552,8560,8728,8346,8846,8852,8527,8919,8565,6769,8396,6681,6720,4307,4788,4315,8201,8951,8954,8169,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254,167,256,222,255,168,169,252,253,250,251,156,820,221,195,159,155,198,196,189,199,202,171,191,179,192,182,201,203,239,234,261,260,225,160,173,205,204,157])).
% 131.11/131.77 cnf(8961,plain,
% 131.11/131.77 (P5(a2,a2,a3,a3)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8849,8935,8938,8620,8780,8301,8708,8750,8904,8912,8517,8595,8702,8710,8801,8768,8386,8341,8555,8692,8858,8788,8740,8552,8560,8728,8346,8846,8852,8527,8919,8565,6769,8396,6681,6720,4307,4788,8174,4315,8201,8951,8954,8169,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254,167,256,222,255,168,169,252,253,250,251,156,820,221,195,159,155,198,196,189,199,202,171,191,179,192,182,201,203,239,234,261,260,225,160,173,205,204,157,249])).
% 131.11/131.77 cnf(8964,plain,
% 131.11/131.77 (P8(a16,a16,a16,a1,a16,a16,a16,a1)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8849,8935,8938,8620,8780,8301,8708,8750,8904,8912,8517,8595,8702,8710,8801,8768,8386,8341,8555,8692,8858,8788,8740,8552,8560,8728,8346,8846,8852,8527,8919,8565,6769,8396,6681,6720,4307,4788,8174,4315,8201,8951,8954,8169,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254,167,256,222,255,168,169,252,253,250,251,156,820,221,195,159,155,198,196,189,199,202,171,191,179,192,182,201,203,239,234,261,260,225,160,173,205,204,157,249,741])).
% 131.11/131.77 cnf(8967,plain,
% 131.11/131.77 (P10(a3,f23(a3,a3,a3,a3,a3,a3),a3,a3)),
% 131.11/131.77 inference(scs_inference,[],[8712,8819,8822,8825,8828,8831,8834,8837,8840,8843,8849,8935,8938,8943,8620,8780,8301,8708,8750,8904,8912,8517,8595,8702,8710,8801,8768,8386,8445,8341,8555,8692,8858,8788,8740,8552,8560,8728,8346,8846,8852,7884,8527,8919,8565,6769,8396,6681,6720,4307,4788,8174,4315,8201,8951,8954,8169,6691,6829,6846,7170,7466,7534,6812,7081,7740,310,7962,270,328,790,152,257,162,254,167,256,222,255,168,169,252,253,250,251,156,820,221,195,159,155,198,196,189,199,202,171,191,179,192,182,201,203,239,234,261,260,225,160,173,205,204,157,249,741,219,238])).
% 131.11/131.77 cnf(8972,plain,
% 131.11/131.77 (P10(a3,f5(a3,a3,a1),a2,a16)),
% 131.11/131.77 inference(scs_inference,[],[8344,270])).
% 131.11/131.77 cnf(8973,plain,
% 131.11/131.77 (P3(x89731,f5(x89731,x89731,x89732),x89732,x89731)),
% 131.11/131.77 inference(rename_variables,[],[8344])).
% 131.11/131.77 cnf(8978,plain,
% 131.11/131.77 (P7(f5(a3,a3,a3),a2,a2)),
% 131.11/131.77 inference(scs_inference,[],[8898,8344,8973,270,328,790])).
% 131.11/131.78 cnf(8980,plain,
% 131.11/131.78 (P7(f19(a16,x89801),x89801,a16)),
% 131.11/131.78 inference(scs_inference,[],[8959,8898,8344,8973,270,328,790,152])).
% 131.11/131.78 cnf(8982,plain,
% 131.11/131.78 (P8(a17,a17,a1,a1,a3,a17,a3,a1)),
% 131.11/131.78 inference(scs_inference,[],[8145,8959,8898,8344,8973,270,328,790,152,257])).
% 131.11/131.78 cnf(8984,plain,
% 131.11/131.78 (P10(f25(a3,x89841,a3,a3,a3),a3,x89841,a3)),
% 131.11/131.78 inference(scs_inference,[],[8145,8959,8743,8898,8344,8973,270,328,790,152,257,162])).
% 131.11/131.78 cnf(8986,plain,
% 131.11/131.78 (P4(a2,a16,a16,a1)),
% 131.11/131.78 inference(scs_inference,[],[8145,8876,8959,8743,8898,8344,8973,270,328,790,152,257,162,167])).
% 131.11/131.78 cnf(8988,plain,
% 131.11/131.78 (P8(a17,a3,a3,a1,a17,a17,a1,a1)),
% 131.11/131.78 inference(scs_inference,[],[8145,8141,8876,8959,8743,8898,8344,8973,270,328,790,152,257,162,167,256])).
% 131.11/131.78 cnf(8990,plain,
% 131.11/131.78 (P8(a18,a3,a3,a3,a3,a18,a3,a3)),
% 131.11/131.78 inference(scs_inference,[],[8145,8141,8207,8876,8959,8743,8898,8344,8973,270,328,790,152,257,162,167,256,254])).
% 131.11/131.78 cnf(8992,plain,
% 131.11/131.78 (P9(a2,a1,a2,a16,a16,a1,a16,a16)),
% 131.11/131.78 inference(scs_inference,[],[8145,8868,8141,8207,8876,8959,8743,8898,8344,8973,270,328,790,152,257,162,167,256,254,222])).
% 131.11/131.78 cnf(8994,plain,
% 131.11/131.78 (P8(a17,a17,a3,a17,a1,a1,a1,a3)),
% 131.11/131.78 inference(scs_inference,[],[8145,8868,8141,8149,8207,8876,8959,8743,8898,8344,8973,270,328,790,152,257,162,167,256,254,222,255])).
% 131.11/131.78 cnf(8996,plain,
% 131.11/131.78 (P4(a1,a2,a16,a16)),
% 131.11/131.78 inference(scs_inference,[],[8145,8868,8141,8149,8207,8876,8959,8743,8898,8344,8973,270,328,790,152,257,162,167,256,254,222,255,168])).
% 131.11/131.78 cnf(8998,plain,
% 131.11/131.78 (P4(a16,a2,a1,a16)),
% 131.11/131.78 inference(scs_inference,[],[8145,8868,8141,8149,8207,8876,8959,8743,8898,8344,8973,270,328,790,152,257,162,167,256,254,222,255,168,169])).
% 131.11/131.78 cnf(9000,plain,
% 131.11/131.78 (P9(a2,a18,a18,a3,a2,a2,a2,a3)),
% 131.11/131.78 inference(scs_inference,[],[8145,8868,8141,8149,8207,8704,8876,8959,8743,8898,8344,8973,270,328,790,152,257,162,167,256,254,222,255,168,169,252])).
% 131.11/131.78 cnf(9004,plain,
% 131.11/131.78 (P9(a2,a2,a2,a3,a18,a2,a18,a3)),
% 131.11/131.78 inference(scs_inference,[],[8145,8868,8141,8149,8207,8704,8876,8959,8743,8898,8344,8973,270,328,790,152,257,162,167,256,254,222,255,168,169,252,253,250])).
% 131.11/131.78 cnf(9006,plain,
% 131.11/131.78 (P9(a18,a3,a18,a2,a2,a3,a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[8145,8868,8141,8149,8207,8704,8876,8959,8743,8898,8344,8973,270,328,790,152,257,162,167,256,254,222,255,168,169,252,253,250,251])).
% 131.11/131.78 cnf(9009,plain,
% 131.11/131.78 (P9(x90091,x90092,x90091,x90092,x90093,x90094,x90093,x90094)),
% 131.11/131.78 inference(rename_variables,[],[8174])).
% 131.11/131.78 cnf(9014,plain,
% 131.11/131.78 (P4(a18,a2,a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[8145,8171,8868,8933,8141,8149,8207,8704,8876,8959,8743,8898,8344,8973,8174,9009,270,328,790,152,257,162,167,256,254,222,255,168,169,252,253,250,251,246,245,183])).
% 131.11/131.78 cnf(9016,plain,
% 131.11/131.78 (P8(a3,a16,a16,a16,a3,a16,a16,a16)),
% 131.11/131.78 inference(scs_inference,[],[8145,8171,8868,8933,8141,8149,8207,8704,8876,8948,8959,8743,8898,8344,8973,8174,9009,270,328,790,152,257,162,167,256,254,222,255,168,169,252,253,250,251,246,245,183,221])).
% 131.11/131.78 cnf(9019,plain,
% 131.11/131.78 (P10(x90191,x90192,x90192,x90191)),
% 131.11/131.78 inference(rename_variables,[],[8201])).
% 131.11/131.78 cnf(9021,plain,
% 131.11/131.78 (P1(x90211,x90211,f6(x90211,x90211,x90212))),
% 131.11/131.78 inference(scs_inference,[],[8145,8171,8868,8933,8141,8149,8207,8704,8876,8948,8381,8959,8743,8898,8344,8973,8174,9009,8201,270,328,790,152,257,162,167,256,254,222,255,168,169,252,253,250,251,246,245,183,221,820,153])).
% 131.11/131.78 cnf(9024,plain,
% 131.11/131.78 (P5(a3,a3,x90241,a3)),
% 131.11/131.78 inference(rename_variables,[],[8527])).
% 131.11/131.78 cnf(9029,plain,
% 131.11/131.78 (P9(x90291,x90292,x90292,x90291,x90293,x90294,x90293,x90294)),
% 131.11/131.78 inference(rename_variables,[],[8219])).
% 131.11/131.78 cnf(9031,plain,
% 131.11/131.78 (P2(f9(a3,a2,a2),a3,a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[8860,8145,8171,8868,8933,8141,8149,8207,8704,8876,8948,8381,8959,8743,8898,8188,8344,8973,8801,8527,8219,8174,9009,8201,270,328,790,152,257,162,167,256,254,222,255,168,169,252,253,250,251,246,245,183,221,820,153,197,202,244,189])).
% 131.11/131.78 cnf(9033,plain,
% 131.11/131.78 (P5(x90331,a3,x90331,a3)),
% 131.11/131.78 inference(scs_inference,[],[8860,8145,8171,8868,8933,8141,8149,8207,8704,8876,8948,8381,8959,8743,8898,8188,8344,8973,8801,8527,8219,8410,8174,9009,8201,270,328,790,152,257,162,167,256,254,222,255,168,169,252,253,250,251,246,245,183,221,820,153,197,202,244,189,171])).
% 131.11/131.78 cnf(9039,plain,
% 131.11/131.78 (P3(x90391,a3,a3,a3)),
% 131.11/131.78 inference(rename_variables,[],[8933])).
% 131.11/131.78 cnf(9041,plain,
% 131.11/131.78 (P3(a18,a18,a3,a3)),
% 131.11/131.78 inference(scs_inference,[],[8860,8145,8171,8868,8933,8141,8149,8207,8704,8876,8948,8381,8959,8743,8898,8188,8344,8973,8801,8527,8590,8219,9029,8410,8174,9009,8201,270,328,790,152,257,162,167,256,254,222,255,168,169,252,253,250,251,246,245,183,221,820,153,197,202,244,189,171,248,192,179])).
% 131.11/131.78 cnf(9049,plain,
% 131.11/131.78 (P3(x90491,a3,a3,a3)),
% 131.11/131.78 inference(rename_variables,[],[8933])).
% 131.11/131.78 cnf(9051,plain,
% 131.11/131.78 (P2(a17,a3,f4(a3,a17,a17),f4(a3,a17,a17))),
% 131.11/131.78 inference(scs_inference,[],[8860,8145,8171,8868,8933,9039,8141,8149,8207,8704,8876,8948,8381,8558,8959,8743,8898,8188,8386,8344,8973,8801,8527,8590,8219,9029,8410,8174,9009,8201,270,328,790,152,257,162,167,256,254,222,255,168,169,252,253,250,251,246,245,183,221,820,153,197,202,244,189,171,248,192,179,793,201,191,182])).
% 131.11/131.78 cnf(9055,plain,
% 131.11/131.78 (P4(x90551,x90551,f6(x90551,x90551,x90551),x90551)),
% 131.11/131.78 inference(scs_inference,[],[8860,8145,8171,8868,8933,9039,8141,8149,8207,8704,8876,8948,8381,8558,8959,8743,8898,8188,8386,8344,8973,8801,8527,8590,8219,9029,8410,8334,8174,9009,8201,270,328,790,152,257,162,167,256,254,222,255,168,169,252,253,250,251,246,245,183,221,820,153,197,202,244,189,171,248,192,179,793,201,191,182,203,234])).
% 131.11/131.78 cnf(9059,plain,
% 131.11/131.78 (P9(a2,a18,a3,a18,a2,a2,a2,a3)),
% 131.11/131.78 inference(scs_inference,[],[8860,8145,8171,8868,8933,9039,8141,8149,8207,8704,8876,8948,8381,8558,8959,8743,8898,8712,8188,8386,8344,8973,8801,8527,8590,8219,9029,8410,8334,8174,9009,8201,270,328,790,152,257,162,167,256,254,222,255,168,169,252,253,250,251,246,245,183,221,820,153,197,202,244,189,171,248,192,179,793,201,191,182,203,234,260])).
% 131.11/131.78 cnf(9062,plain,
% 131.11/131.78 (P9(a16,a16,a16,a1,f9(a16,a16,a1),a16,f9(a16,a16,a1),f19(a16,a1))),
% 131.11/131.78 inference(scs_inference,[],[8860,8145,8171,8868,8933,9039,8141,8149,8207,8704,8876,8948,8381,8558,8959,8743,8898,8543,8712,8188,8386,8344,8973,8801,8527,8590,8219,9029,8410,8334,8174,9009,8201,270,328,790,152,257,162,167,256,254,222,255,168,169,252,253,250,251,246,245,183,221,820,153,197,202,244,189,171,248,192,179,793,201,191,182,203,234,260,225])).
% 131.11/131.78 cnf(9065,plain,
% 131.11/131.78 (P7(f7(a3,a17,a17),a3,a17)),
% 131.11/131.78 inference(scs_inference,[],[8860,8145,8171,8868,8933,9039,8141,8149,8207,8704,8876,8948,8381,8558,8959,8743,8898,8543,8634,8712,8188,8386,8788,8344,8973,8801,8527,8590,8219,9029,8264,8410,8334,8174,9009,8201,270,328,790,152,257,162,167,256,254,222,255,168,169,252,253,250,251,246,245,183,221,820,153,197,202,244,189,171,248,192,179,793,201,191,182,203,234,260,225,184])).
% 131.11/131.78 cnf(9069,plain,
% 131.11/131.78 (P7(a2,a16,a1)),
% 131.11/131.78 inference(scs_inference,[],[8860,8145,8171,8868,8933,9039,8141,8149,8207,8704,8876,8948,8381,8558,8959,8743,8898,8543,8634,8712,8188,8386,8788,8344,8973,8801,8527,8590,8219,9029,8264,8410,8334,8174,9009,631,8201,9019,270,328,790,152,257,162,167,256,254,222,255,168,169,252,253,250,251,246,245,183,221,820,153,197,202,244,189,171,248,192,179,793,201,191,182,203,234,260,225,184,160])).
% 131.11/131.78 cnf(9072,plain,
% 131.11/131.78 (P7(f19(a18,x90721),a18,x90721)),
% 131.11/131.78 inference(scs_inference,[],[8860,8145,8171,8868,8933,9039,8141,8149,8207,8704,8876,8948,8381,8558,8959,8743,8898,8543,8634,8712,8188,8386,8501,8788,8344,8973,6745,8801,8527,8590,8219,9029,8264,8410,8334,8174,9009,631,8201,9019,270,328,790,152,257,162,167,256,254,222,255,168,169,252,253,250,251,246,245,183,221,820,153,197,202,244,189,171,248,192,179,793,201,191,182,203,234,260,225,184,160,157])).
% 131.11/131.78 cnf(9075,plain,
% 131.11/131.78 (P5(a18,a18,a18,a18)),
% 131.11/131.78 inference(scs_inference,[],[8860,8145,8171,8868,8933,9039,8141,8149,8207,8704,8876,8937,8948,8381,8558,8959,8743,8898,8543,8634,8519,8712,8188,8386,8501,8788,8344,8973,6745,8801,8527,8590,8219,9029,8264,8410,8334,8174,9009,631,8201,9019,270,328,790,152,257,162,167,256,254,222,255,168,169,252,253,250,251,246,245,183,221,820,153,197,202,244,189,171,248,192,179,793,201,191,182,203,234,260,225,184,160,157,249])).
% 131.11/131.78 cnf(9076,plain,
% 131.11/131.78 (P9(x90761,x90762,x90762,x90761,x90763,x90764,x90764,x90763)),
% 131.11/131.78 inference(rename_variables,[],[8519])).
% 131.11/131.78 cnf(9078,plain,
% 131.11/131.78 (P8(a17,a17,a3,a17,a1,a3,a3,a1)),
% 131.11/131.78 inference(scs_inference,[],[8860,8145,8171,8868,8933,9039,8141,8149,8207,8704,8876,8937,8948,8381,8558,8959,8743,8898,8543,8634,8519,8712,8188,8386,8501,8788,8344,8973,6745,8801,8527,8590,8219,9029,8264,8410,8334,8174,9009,631,8201,9019,270,328,790,152,257,162,167,256,254,222,255,168,169,252,253,250,251,246,245,183,221,820,153,197,202,244,189,171,248,192,179,793,201,191,182,203,234,260,225,184,160,157,249,5310])).
% 131.11/131.78 cnf(9084,plain,
% 131.11/131.78 (P3(x90841,x90842,x90842,x90841)),
% 131.11/131.78 inference(rename_variables,[],[8396])).
% 131.11/131.78 cnf(9087,plain,
% 131.11/131.78 (P3(x90871,x90872,x90872,x90871)),
% 131.11/131.78 inference(rename_variables,[],[8396])).
% 131.11/131.78 cnf(9090,plain,
% 131.11/131.78 (P3(x90901,x90902,x90902,x90901)),
% 131.11/131.78 inference(rename_variables,[],[8396])).
% 131.11/131.78 cnf(9097,plain,
% 131.11/131.78 (P10(f25(x90971,a3,a3,a3,a3),a3,x90971,a3)),
% 131.11/131.78 inference(scs_inference,[],[8860,8145,8171,8868,8933,9039,9049,8141,8149,8207,8704,8876,8937,8948,8381,8558,8959,8743,8898,8543,8634,8519,9076,8712,8188,8386,8501,8788,8344,8973,6745,8801,8527,9024,8590,8219,9029,8396,9084,9087,9090,8565,8264,8410,8334,8174,9009,631,8201,9019,270,328,790,152,257,162,167,256,254,222,255,168,169,252,253,250,251,246,245,183,221,820,153,197,202,244,189,171,248,192,179,793,201,191,182,203,234,260,225,184,160,157,249,5310,242,187,188,176,175,198,199])).
% 131.11/131.78 cnf(9105,plain,
% 131.11/131.78 (P8(a1,a1,a17,a17,a3,a1,a3,a17)),
% 131.11/131.78 inference(scs_inference,[],[8058,257])).
% 131.11/131.78 cnf(9107,plain,
% 131.11/131.78 (P7(a2,a1,a16)),
% 131.11/131.78 inference(scs_inference,[],[8058,9069,257,152])).
% 131.11/131.78 cnf(9109,plain,
% 131.11/131.78 (P4(a2,a1,a16,a16)),
% 131.11/131.78 inference(scs_inference,[],[8058,8996,9069,257,152,167])).
% 131.11/131.78 cnf(9113,plain,
% 131.11/131.78 (P8(a18,a3,a18,a18,a3,a17,a17,a17)),
% 131.11/131.78 inference(scs_inference,[],[8058,8316,8996,9069,8675,257,152,167,162,256])).
% 131.11/131.78 cnf(9115,plain,
% 131.11/131.78 (P8(a17,a17,a18,a18,a3,a17,a3,a18)),
% 131.11/131.78 inference(scs_inference,[],[8058,8314,8316,8996,9069,8675,257,152,167,162,256,254])).
% 131.11/131.78 cnf(9117,plain,
% 131.11/131.78 (P8(a3,a3,a3,a3,a17,a17,a3,a17)),
% 131.11/131.78 inference(scs_inference,[],[8058,8205,8314,8316,8996,9069,8675,257,152,167,162,256,254,255])).
% 131.11/131.78 cnf(9123,plain,
% 131.11/131.78 (P4(a2,a16,a1,a16)),
% 131.11/131.78 inference(scs_inference,[],[8058,8205,8314,8316,8986,8996,9069,9055,8675,257,152,167,162,256,254,255,222,168,169])).
% 131.11/131.78 cnf(9125,plain,
% 131.11/131.78 (P9(a18,a3,a3,a2,a2,a18,a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[8058,8205,8314,8316,8718,8986,8996,9069,9055,8675,257,152,167,162,256,254,255,222,168,169,252])).
% 131.11/131.78 cnf(9127,plain,
% 131.11/131.78 (P9(a2,a2,a3,a2,a2,a18,a3,a18)),
% 131.11/131.78 inference(scs_inference,[],[8058,8205,8314,8316,8716,8718,8986,8996,9069,9055,8675,257,152,167,162,256,254,255,222,168,169,252,253])).
% 131.11/131.78 cnf(9129,plain,
% 131.11/131.78 (P9(a2,a18,a2,a2,a3,a18,a3,a2)),
% 131.11/131.78 inference(scs_inference,[],[8058,8205,8314,8316,8716,8718,8986,8996,9069,9055,8675,257,152,167,162,256,254,255,222,168,169,252,253,250])).
% 131.11/131.78 cnf(9131,plain,
% 131.11/131.78 (P9(a16,a16,a16,a1,a2,a16,a2,a1)),
% 131.11/131.78 inference(scs_inference,[],[8058,8205,8314,8316,8716,8718,8872,8986,8996,9069,9055,8675,257,152,167,162,256,254,255,222,168,169,252,253,250,251])).
% 131.11/131.78 cnf(9134,plain,
% 131.11/131.78 (P9(x91341,x91342,x91342,x91341,x91343,x91344,x91344,x91343)),
% 131.11/131.78 inference(rename_variables,[],[8519])).
% 131.11/131.78 cnf(9137,plain,
% 131.11/131.78 (P9(x91371,x91372,x91372,x91371,x91373,x91374,x91374,x91373)),
% 131.11/131.78 inference(rename_variables,[],[8519])).
% 131.11/131.78 cnf(9143,plain,
% 131.11/131.78 (P3(x91431,x91432,x91432,x91431)),
% 131.11/131.78 inference(rename_variables,[],[8396])).
% 131.11/131.78 cnf(9146,plain,
% 131.11/131.78 (P3(x91461,x91462,x91462,x91461)),
% 131.11/131.78 inference(rename_variables,[],[8396])).
% 131.11/131.78 cnf(9149,plain,
% 131.11/131.78 (P3(x91491,x91492,x91492,x91491)),
% 131.11/131.78 inference(rename_variables,[],[8396])).
% 131.11/131.78 cnf(9152,plain,
% 131.11/131.78 (P3(x91521,x91522,x91522,x91521)),
% 131.11/131.78 inference(rename_variables,[],[8396])).
% 131.11/131.78 cnf(9154,plain,
% 131.11/131.78 (P8(a2,a16,a16,a1,a2,a16,a16,a1)),
% 131.11/131.78 inference(scs_inference,[],[8058,9033,8205,8314,8316,8716,8718,8872,8986,8996,9041,9069,9075,9055,8675,8519,9134,8801,8396,9143,9146,9149,8221,257,152,167,162,256,254,255,222,168,169,252,253,250,251,243,247,246,188,187,186,174,221])).
% 131.11/131.78 cnf(9157,plain,
% 131.11/131.78 (P3(x91571,x91572,x91572,x91571)),
% 131.11/131.78 inference(rename_variables,[],[8396])).
% 131.11/131.78 cnf(9160,plain,
% 131.11/131.78 (P3(x91601,x91602,x91602,x91601)),
% 131.11/131.78 inference(rename_variables,[],[8396])).
% 131.11/131.78 cnf(9165,plain,
% 131.11/131.78 (P10(x91651,x91652,x91651,x91652)),
% 131.11/131.78 inference(rename_variables,[],[8169])).
% 131.11/131.78 cnf(9168,plain,
% 131.11/131.78 (P5(x91681,a3,x91681,a3)),
% 131.11/131.78 inference(rename_variables,[],[9033])).
% 131.11/131.78 cnf(9170,plain,
% 131.11/131.78 (P2(f9(a3,a17,a17),a3,a17,a17)),
% 131.11/131.78 inference(scs_inference,[],[8058,9033,8205,8314,8316,8716,8718,8872,8986,8996,9041,9069,9075,9055,8857,8675,8600,8519,9134,8801,8396,9143,9146,9149,9152,9157,8221,8169,8390,257,152,167,162,256,254,255,222,168,169,252,253,250,251,243,247,246,188,187,186,174,221,175,176,202,820,198,189])).
% 131.11/131.78 cnf(9172,plain,
% 131.11/131.78 (P10(f25(a3,a2,a3,a3,a2),a3,a3,a2)),
% 131.11/131.78 inference(scs_inference,[],[8058,9033,9168,8205,8314,8316,8716,8718,8872,8986,8996,9041,9069,9075,9055,8857,8675,8600,8519,9134,8801,8396,9143,9146,9149,9152,9157,8221,8169,8390,257,152,167,162,256,254,255,222,168,169,252,253,250,251,243,247,246,188,187,186,174,221,175,176,202,820,198,189,199])).
% 131.11/131.78 cnf(9173,plain,
% 131.11/131.78 (P5(x91731,a3,x91731,a3)),
% 131.11/131.78 inference(rename_variables,[],[9033])).
% 131.11/131.78 cnf(9176,plain,
% 131.11/131.78 (P3(x91761,x91762,x91762,x91761)),
% 131.11/131.78 inference(rename_variables,[],[8396])).
% 131.11/131.78 cnf(9179,plain,
% 131.11/131.78 (P5(x91791,a3,x91791,a3)),
% 131.11/131.78 inference(rename_variables,[],[9033])).
% 131.11/131.78 cnf(9181,plain,
% 131.11/131.78 (P3(x91811,x91811,a3,a3)),
% 131.11/131.78 inference(scs_inference,[],[8058,9033,9168,9173,9179,8205,8314,8316,8716,8718,8872,8986,8996,9041,9069,9075,9055,8857,8675,8600,8519,9134,8801,8396,9143,9146,9149,9152,9157,9160,8221,8169,8390,257,152,167,162,256,254,255,222,168,169,252,253,250,251,243,247,246,188,187,186,174,221,175,176,202,820,198,189,199,197,192,179])).
% 131.11/131.78 cnf(9183,plain,
% 131.11/131.78 (P5(a3,a2,a3,a3)),
% 131.11/131.78 inference(scs_inference,[],[8058,9033,9168,9173,9179,8205,8314,8316,8716,8718,8872,8986,8996,9041,9069,9075,9055,8857,8675,8600,8519,9134,8801,8466,8396,9143,9146,9149,9152,9157,9160,9176,8221,8169,8390,257,152,167,162,256,254,255,222,168,169,252,253,250,251,243,247,246,188,187,186,174,221,175,176,202,820,198,189,199,197,192,179,171])).
% 131.11/131.78 cnf(9184,plain,
% 131.11/131.78 (P3(x91841,x91842,x91842,x91841)),
% 131.11/131.78 inference(rename_variables,[],[8396])).
% 131.11/131.78 cnf(9187,plain,
% 131.11/131.78 (P5(x91871,a3,x91871,a3)),
% 131.11/131.78 inference(rename_variables,[],[9033])).
% 131.11/131.78 cnf(9189,plain,
% 131.11/131.78 (P2(x91891,a3,a3,a3)),
% 131.11/131.78 inference(scs_inference,[],[8058,9033,9168,9173,9179,9187,8205,8314,8316,8716,8718,8872,8986,8996,9041,9069,9075,9055,8857,8675,8600,8519,9134,8801,8466,8396,9143,9146,9149,9152,9157,9160,9176,8221,8169,8390,257,152,167,162,256,254,255,222,168,169,252,253,250,251,243,247,246,188,187,186,174,221,175,176,202,820,198,189,199,197,192,179,171,191,182])).
% 131.11/131.78 cnf(9191,plain,
% 131.11/131.78 (P7(f23(a16,a1,a16,a1,a2,a2),a16,a1)),
% 131.11/131.78 inference(scs_inference,[],[8058,9033,9168,9173,9179,9187,8205,8314,8316,8716,8718,8872,8986,8996,9041,9069,9075,9055,8857,8675,8600,8519,9134,8801,8466,8396,9143,9146,9149,9152,9157,9160,9176,8221,8169,8390,257,152,167,162,256,254,255,222,168,169,252,253,250,251,243,247,246,188,187,186,174,221,175,176,202,820,198,189,199,197,192,179,171,191,182,201])).
% 131.11/131.78 cnf(9195,plain,
% 131.11/131.78 (P4(a1,a1,a1,a1)),
% 131.11/131.78 inference(scs_inference,[],[8058,9033,9168,9173,9179,9187,8205,8314,8316,8716,8718,8872,8986,8996,9041,9069,9075,9055,8857,8675,8600,8519,9134,9137,4964,8801,8466,8396,9143,9146,9149,9152,9157,9160,9176,8221,8169,8390,257,152,167,162,256,254,255,222,168,169,252,253,250,251,243,247,246,188,187,186,174,221,175,176,202,820,198,189,199,197,192,179,171,191,182,201,203,234])).
% 131.11/131.78 cnf(9196,plain,
% 131.11/131.78 (P9(x91961,x91962,x91962,x91961,x91963,x91964,x91964,x91963)),
% 131.11/131.78 inference(rename_variables,[],[8519])).
% 131.11/131.78 cnf(9200,plain,
% 131.11/131.78 (P9(a2,a2,a2,a18,a3,a2,a18,a3)),
% 131.11/131.78 inference(scs_inference,[],[8058,9033,9168,9173,9179,9187,8205,8314,8316,8716,8718,8872,8986,8996,9041,9069,9075,9055,8857,8675,8600,8543,8519,9134,9137,8521,4964,8801,8466,8396,9143,9146,9149,9152,9157,9160,9176,8221,8169,8390,257,152,167,162,256,254,255,222,168,169,252,253,250,251,243,247,246,188,187,186,174,221,175,176,202,820,198,189,199,197,192,179,171,191,182,201,203,234,225,260])).
% 131.11/131.78 cnf(9201,plain,
% 131.11/131.78 (P9(x92011,x92012,x92013,x92014,x92011,x92012,x92014,x92013)),
% 131.11/131.78 inference(rename_variables,[],[8521])).
% 131.11/131.78 cnf(9204,plain,
% 131.11/131.78 (P10(x92041,x92042,x92041,x92042)),
% 131.11/131.78 inference(rename_variables,[],[8169])).
% 131.11/131.78 cnf(9206,plain,
% 131.11/131.78 (P7(a16,a3,a16)),
% 131.11/131.78 inference(scs_inference,[],[8058,9033,9168,9173,9179,9187,8205,8314,8316,8716,8718,8872,8986,8996,9041,9069,9075,9055,8255,8857,8675,8600,8543,8519,9134,9137,8521,4964,8801,8466,4309,8396,9143,9146,9149,9152,9157,9160,9176,8221,8461,8169,9165,9204,8390,257,152,167,162,256,254,255,222,168,169,252,253,250,251,243,247,246,188,187,186,174,221,175,176,202,820,198,189,199,197,192,179,171,191,182,201,203,234,225,260,226,160])).
% 131.11/131.78 cnf(9207,plain,
% 131.11/131.78 (P10(x92071,x92072,x92071,x92072)),
% 131.11/131.78 inference(rename_variables,[],[8169])).
% 131.11/131.78 cnf(9209,plain,
% 131.11/131.78 (P7(f19(a3,a3),x92091,x92091)),
% 131.11/131.78 inference(scs_inference,[],[8058,9033,9168,9173,9179,9187,8205,8314,8316,8716,8718,8872,8986,8996,9041,9069,9075,9055,8255,8857,8675,8600,8543,8519,9134,9137,8521,4964,8801,8466,4309,8396,9143,9146,9149,9152,9157,9160,9176,8221,8461,8169,9165,9204,9207,8390,257,152,167,162,256,254,255,222,168,169,252,253,250,251,243,247,246,188,187,186,174,221,175,176,202,820,198,189,199,197,192,179,171,191,182,201,203,234,225,260,226,160,173])).
% 131.11/131.78 cnf(9213,plain,
% 131.11/131.78 (P7(f19(a1,x92131),a1,x92131)),
% 131.11/131.78 inference(scs_inference,[],[8058,9033,9168,9173,9179,9187,8205,8314,8316,8716,8718,8872,8986,8996,9041,9069,9075,9055,8255,8857,8675,8980,8600,8543,8519,9134,9137,8521,8386,4964,8801,8466,4309,8396,9143,9146,9149,9152,9157,9160,9176,8221,4784,8461,8169,9165,9204,9207,8390,257,152,167,162,256,254,255,222,168,169,252,253,250,251,243,247,246,188,187,186,174,221,175,176,202,820,198,189,199,197,192,179,171,191,182,201,203,234,225,260,226,160,173,157])).
% 131.11/131.78 cnf(9223,plain,
% 131.11/131.78 (P3(f8(a3,a3,a3,x92231),a3,a3,x92231)),
% 131.11/131.78 inference(scs_inference,[],[8058,9033,9168,9173,9179,9187,8205,8314,8316,8716,8718,8872,8986,8996,9041,9069,9075,8878,9055,8255,8857,8675,8980,8600,8543,8519,9134,9137,9196,8521,8386,4964,8801,8466,4309,8396,9143,9146,9149,9152,9157,9160,9176,8221,4784,8461,8169,9165,9204,9207,8390,257,152,167,162,256,254,255,222,168,169,252,253,250,251,243,247,246,188,187,186,174,221,175,176,202,820,198,189,199,197,192,179,171,191,182,201,203,234,225,260,226,160,173,157,249,185])).
% 131.11/131.78 cnf(9228,plain,
% 131.11/131.78 (P7(f7(a3,a18,a3),a3,a3)),
% 131.11/131.78 inference(scs_inference,[],[8058,9033,9168,9173,9179,9187,8205,8314,8316,8716,8718,8872,8986,8996,9041,9069,9075,8878,9055,8255,8857,8675,8980,9072,8600,8543,8750,8519,9134,9137,9196,8521,9201,8386,4964,8801,8466,4309,8396,9143,9146,9149,9152,9157,9160,9176,9184,8221,4784,8461,8169,9165,9204,9207,8390,257,152,167,162,256,254,255,222,168,169,252,253,250,251,243,247,246,188,187,186,174,221,175,176,202,820,198,189,199,197,192,179,171,191,182,201,203,234,225,260,226,160,173,157,249,185,258,184])).
% 131.11/131.78 cnf(9243,plain,
% 131.11/131.78 (P7(f7(a3,a18,a3),a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[9228,8521,7859,790])).
% 131.11/131.78 cnf(9245,plain,
% 131.11/131.78 (P4(a2,a18,a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[9014,9228,8521,7859,790,167])).
% 131.11/131.78 cnf(9247,plain,
% 131.11/131.78 (P7(a16,a16,a3)),
% 131.11/131.78 inference(scs_inference,[],[9206,9014,9228,8521,7859,790,167,152])).
% 131.11/131.78 cnf(9249,plain,
% 131.11/131.78 (P8(a17,a3,a17,a17,a17,a3,a17,a17)),
% 131.11/131.78 inference(scs_inference,[],[9206,8503,9014,9228,8521,7859,790,167,152,256])).
% 131.11/131.78 cnf(9251,plain,
% 131.11/131.78 (P8(a17,a17,a1,a3,a3,a17,a3,a1)),
% 131.11/131.78 inference(scs_inference,[],[9078,9206,8503,9014,9228,8521,7859,790,167,152,256,257])).
% 131.11/131.78 cnf(9253,plain,
% 131.11/131.78 (P8(a1,a3,a3,a1,a17,a17,a3,a17)),
% 131.11/131.78 inference(scs_inference,[],[9078,9206,8503,9014,9228,8521,7859,790,167,152,256,257,254])).
% 131.11/131.78 cnf(9259,plain,
% 131.11/131.78 (P9(a1,a16,a1,a2,a16,a16,a16,a2)),
% 131.11/131.78 inference(scs_inference,[],[9078,9206,8503,8998,9014,8488,9228,8521,7859,790,167,152,256,257,254,255,162,222])).
% 131.11/131.78 cnf(9261,plain,
% 131.11/131.78 (P4(x92611,a3,f14(a16,a3,a16,a3,a2,a16),a3)),
% 131.11/131.78 inference(scs_inference,[],[9078,9206,8503,8998,9014,8488,9228,8399,8521,7859,790,167,152,256,257,254,255,162,222,168])).
% 131.11/131.78 cnf(9265,plain,
% 131.11/131.78 (P9(a18,a2,a2,a2,a3,a18,a3,a2)),
% 131.11/131.78 inference(scs_inference,[],[9078,9129,9206,8503,8998,9014,8488,9228,8399,9055,8521,7859,790,167,152,256,257,254,255,162,222,168,169,252])).
% 131.11/131.78 cnf(9267,plain,
% 131.11/131.78 (P9(a18,a3,a2,a18,a3,a2,a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[9078,9125,9129,9206,8503,8998,9014,8488,9228,8399,9055,8521,7859,790,167,152,256,257,254,255,162,222,168,169,252,253])).
% 131.11/131.78 cnf(9269,plain,
% 131.11/131.78 (P9(a2,a18,a2,a2,a18,a3,a3,a2)),
% 131.11/131.78 inference(scs_inference,[],[9078,9125,9129,9206,8503,8998,9014,8488,9228,8399,9055,8521,7859,790,167,152,256,257,254,255,162,222,168,169,252,253,250])).
% 131.11/131.78 cnf(9271,plain,
% 131.11/131.78 (P9(a2,a2,a3,a2,a18,a2,a3,a18)),
% 131.11/131.78 inference(scs_inference,[],[9078,9125,9129,9206,8503,8880,8998,9014,8488,9228,8399,9055,8521,7859,790,167,152,256,257,254,255,162,222,168,169,252,253,250,251])).
% 131.11/131.78 cnf(9274,plain,
% 131.11/131.78 (P10(x92741,x92742,x92742,x92741)),
% 131.11/131.78 inference(rename_variables,[],[8201])).
% 131.11/131.78 cnf(9277,plain,
% 131.11/131.78 (P3(x92771,x92772,x92772,x92771)),
% 131.11/131.78 inference(rename_variables,[],[8396])).
% 131.11/131.78 cnf(9280,plain,
% 131.11/131.78 (P3(x92801,x92802,x92802,x92801)),
% 131.11/131.78 inference(rename_variables,[],[8396])).
% 131.11/131.78 cnf(9283,plain,
% 131.11/131.78 (P3(x92831,a3,a3,a3)),
% 131.11/131.78 inference(rename_variables,[],[8933])).
% 131.11/131.78 cnf(9290,plain,
% 131.11/131.78 (P5(a3,a2,a3,f25(a3,a3,a2,a3,a3))),
% 131.11/131.78 inference(scs_inference,[],[9078,9125,9129,9206,9181,8503,8880,8998,9014,9183,8488,8845,9228,8399,9055,8521,8396,9277,8201,8933,9283,7859,790,167,152,256,257,254,255,162,222,168,169,252,253,250,251,177,188,187,186,202,174,198])).
% 131.11/131.78 cnf(9291,plain,
% 131.11/131.78 (P3(x92911,x92911,a3,a3)),
% 131.11/131.78 inference(rename_variables,[],[9181])).
% 131.11/131.78 cnf(9294,plain,
% 131.11/131.78 (P3(x92941,x92941,a3,a3)),
% 131.11/131.78 inference(rename_variables,[],[9181])).
% 131.11/131.78 cnf(9299,plain,
% 131.11/131.78 (P3(x92991,x92992,x92992,x92991)),
% 131.11/131.78 inference(rename_variables,[],[8396])).
% 131.11/131.78 cnf(9302,plain,
% 131.11/131.78 (P3(x93021,x93022,x93022,x93021)),
% 131.11/131.78 inference(rename_variables,[],[8396])).
% 131.11/131.78 cnf(9304,plain,
% 131.11/131.78 (P5(a18,a3,a18,a18)),
% 131.11/131.78 inference(scs_inference,[],[9078,9125,9129,9206,9181,9291,9294,8503,8880,8998,9014,9113,9183,8488,8845,9228,8399,9055,8262,8521,8396,9277,9280,9299,8201,8933,9283,7859,790,167,152,256,257,254,255,162,222,168,169,252,253,250,251,177,188,187,186,202,174,198,199,221,176,175,241])).
% 131.11/131.78 cnf(9307,plain,
% 131.11/131.78 (P5(x93071,a3,x93071,a3)),
% 131.11/131.78 inference(rename_variables,[],[9033])).
% 131.11/131.78 cnf(9309,plain,
% 131.11/131.78 (P2(f9(a1,a1,a1),a1,a1,a1)),
% 131.11/131.78 inference(scs_inference,[],[9078,9125,9129,9206,9181,9291,9294,8503,8880,8998,9014,9113,9183,9195,8488,8845,9228,8399,9055,8262,8521,9033,8264,8396,9277,9280,9299,8201,8933,9283,7859,790,167,152,256,257,254,255,162,222,168,169,252,253,250,251,177,188,187,186,202,174,198,199,221,176,175,241,192,189])).
% 131.11/131.78 cnf(9310,plain,
% 131.11/131.78 (P3(x93101,x93102,x93101,x93102)),
% 131.11/131.78 inference(rename_variables,[],[8264])).
% 131.11/131.78 cnf(9312,plain,
% 131.11/131.78 (P3(a18,a18,a18,a3)),
% 131.11/131.78 inference(scs_inference,[],[9078,9125,9129,9206,9181,9291,9294,8503,8880,8998,9014,9113,9183,9195,8488,8845,9228,8399,9055,8262,9075,8521,9033,9307,8264,8396,9277,9280,9299,8201,8933,9283,7859,790,167,152,256,257,254,255,162,222,168,169,252,253,250,251,177,188,187,186,202,174,198,199,221,176,175,241,192,189,179])).
% 131.11/131.78 cnf(9313,plain,
% 131.11/131.78 (P5(x93131,a3,x93131,a3)),
% 131.11/131.78 inference(rename_variables,[],[9033])).
% 131.11/131.78 cnf(9323,plain,
% 131.11/131.78 (P2(a3,a2,a3,a3)),
% 131.11/131.78 inference(scs_inference,[],[9078,9125,9129,9206,9181,9291,9294,8503,8880,8998,9014,9113,9183,9195,8488,8845,9228,8399,9055,8637,8262,9075,8521,9033,9307,9313,8264,8396,9277,9280,9299,8201,8933,9283,7859,790,167,152,256,257,254,255,162,222,168,169,252,253,250,251,177,188,187,186,202,174,198,199,221,176,175,241,192,189,179,191,171,201,182])).
% 131.11/131.78 cnf(9325,plain,
% 131.11/131.78 (P3(a18,a3,a2,a18)),
% 131.11/131.78 inference(scs_inference,[],[9078,9125,9129,9206,9181,9291,9294,8503,8880,8998,9014,9113,9183,9195,8488,8845,9228,8399,9055,8637,8262,9075,8521,9033,9307,9313,8264,8396,9277,9280,9299,8201,8801,8933,9283,7859,790,167,152,256,257,254,255,162,222,168,169,252,253,250,251,177,188,187,186,202,174,198,199,221,176,175,241,192,189,179,191,171,201,182,239])).
% 131.11/131.78 cnf(9330,plain,
% 131.11/131.78 (P10(f23(a3,a16,a3,a16,a16,a16),a16,a16,a16)),
% 131.11/131.78 inference(scs_inference,[],[9078,9125,9129,9206,9181,9291,9294,8503,8880,8998,9014,9113,9183,9195,8488,8845,9051,9228,8399,9055,8637,8262,9075,8521,9033,9307,9313,8264,8396,9277,9280,9299,9302,8201,8801,8933,9283,7859,790,167,152,256,257,254,255,162,222,168,169,252,253,250,251,177,188,187,186,202,174,198,199,221,176,175,241,192,189,179,191,171,201,182,239,227,203])).
% 131.11/131.78 cnf(9332,plain,
% 131.11/131.78 (P4(x93321,f6(x93321,x93321,x93322),x93321,x93321)),
% 131.11/131.78 inference(scs_inference,[],[9078,9125,9129,9206,9181,9291,9294,8503,8880,8998,9014,9113,9183,9195,9021,8488,8845,9051,9228,8399,9055,8637,8262,9075,8521,8330,9033,9307,9313,8264,8396,9277,9280,9299,9302,8201,8801,8933,9283,7859,790,167,152,256,257,254,255,162,222,168,169,252,253,250,251,177,188,187,186,202,174,198,199,221,176,175,241,192,189,179,191,171,201,182,239,227,203,234])).
% 131.11/131.78 cnf(9336,plain,
% 131.11/131.78 (P10(a3,f4(a3,a3,a3),a3,a3)),
% 131.11/131.78 inference(scs_inference,[],[9078,9125,9129,9206,9181,9291,9294,8503,8880,8998,9014,9113,9183,9195,9021,8432,8488,8845,9051,9228,8399,9055,8637,8262,9075,8521,8330,9033,9307,9313,8264,8396,9277,9280,9299,9302,8201,8801,8933,9283,7859,790,167,152,256,257,254,255,162,222,168,169,252,253,250,251,177,188,187,186,202,174,198,199,221,176,175,241,192,189,179,191,171,201,182,239,227,203,234,178])).
% 131.11/131.78 cnf(9342,plain,
% 131.11/131.78 (P9(a3,a18,a2,a3,a2,a18,a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[9078,9125,9129,9206,9181,9291,9294,9189,8503,8880,8998,9014,9113,9183,9195,9021,8432,8488,8845,9209,9051,9228,8399,9055,8637,8262,9075,8712,8521,8330,9033,9307,9313,8264,8396,9277,9280,9299,9302,8201,8801,8933,9283,7859,790,167,152,256,257,254,255,162,222,168,169,252,253,250,251,177,188,187,186,202,174,198,199,221,176,175,241,192,189,179,191,171,201,182,239,227,203,234,178,225,260])).
% 131.11/131.78 cnf(9345,plain,
% 131.11/131.78 (P7(f7(a17,a3,a17),a17,a17)),
% 131.11/131.78 inference(scs_inference,[],[9078,9125,9129,9206,9181,9291,9294,9189,8503,8880,8998,9014,9113,9183,9195,9021,8432,8488,8845,9209,9051,9065,9228,8399,9055,8637,8262,8634,9075,8712,8521,8330,9033,9307,9313,8264,9310,8396,9277,9280,9299,9302,8201,8801,8933,9283,7859,790,167,152,256,257,254,255,162,222,168,169,252,253,250,251,177,188,187,186,202,174,198,199,221,176,175,241,192,189,179,191,171,201,182,239,227,203,234,178,225,260,184])).
% 131.11/131.78 cnf(9349,plain,
% 131.11/131.78 (P10(x93491,x93492,x93492,x93491)),
% 131.11/131.78 inference(rename_variables,[],[8201])).
% 131.11/131.78 cnf(9351,plain,
% 131.11/131.78 (P7(a17,a17,a17)),
% 131.11/131.78 inference(scs_inference,[],[9078,9125,9129,9206,9181,9291,9294,9189,8503,8880,8998,9014,9113,9183,9195,9021,8432,8488,8845,9209,8606,9051,9065,9228,9170,8399,9055,8637,8262,8634,9075,8712,8521,8330,9033,9307,9313,4728,8264,9310,8396,9277,9280,9299,9302,8174,8201,9274,8801,8933,9283,7859,790,167,152,256,257,254,255,162,222,168,169,252,253,250,251,177,188,187,186,202,174,198,199,221,176,175,241,192,189,179,191,171,201,182,239,227,203,234,178,225,260,184,226,237])).
% 131.11/131.78 cnf(9354,plain,
% 131.11/131.78 (P5(a1,a1,a1,a1)),
% 131.11/131.78 inference(scs_inference,[],[9078,9125,9129,9206,9181,9291,9294,9189,8503,8880,8998,9014,9113,9183,9195,9021,8432,8488,8845,9209,8606,9051,9065,9228,9170,8399,9055,8637,8262,8634,9075,8519,8712,8521,8330,9033,9307,9313,4728,8264,9310,8396,9277,9280,9299,9302,8174,8201,9274,8801,8933,9283,7859,790,167,152,256,257,254,255,162,222,168,169,252,253,250,251,177,188,187,186,202,174,198,199,221,176,175,241,192,189,179,191,171,201,182,239,227,203,234,178,225,260,184,226,237,249])).
% 131.11/131.78 cnf(9357,plain,
% 131.11/131.78 (P8(a3,a17,a17,a17,a3,a3,a3,a1)),
% 131.11/131.78 inference(scs_inference,[],[9078,9125,9129,9206,9181,9291,9294,9189,8503,8880,8998,9014,9113,9183,9195,9021,8432,8488,8845,9209,8606,9051,9065,9228,9170,8399,9055,8637,8262,8634,9075,8519,8712,8521,8330,9033,9307,9313,4728,8264,9310,8396,9277,9280,9299,9302,8174,8201,9274,8801,8933,9283,7859,790,167,152,256,257,254,255,162,222,168,169,252,253,250,251,177,188,187,186,202,174,198,199,221,176,175,241,192,189,179,191,171,201,182,239,227,203,234,178,225,260,184,226,237,249,5363])).
% 131.11/131.78 cnf(9359,plain,
% 131.11/131.78 (P3(f8(a2,a3,a3,a3),a2,a2,a3)),
% 131.11/131.78 inference(scs_inference,[],[9078,9125,9129,9206,9181,9291,9294,9189,8503,8880,8998,9014,9113,9183,9195,9021,8432,8488,8845,9209,8606,9051,9065,9228,9170,8399,9055,8637,8262,8634,9075,8519,8712,8521,8330,9033,9307,9313,4728,8264,9310,8396,9277,9280,9299,9302,8174,8201,9274,8801,8933,9283,7859,790,167,152,256,257,254,255,162,222,168,169,252,253,250,251,177,188,187,186,202,174,198,199,221,176,175,241,192,189,179,191,171,201,182,239,227,203,234,178,225,260,184,226,237,249,5363,185])).
% 131.11/131.78 cnf(9363,plain,
% 131.11/131.78 (P7(a16,a1,a2)),
% 131.11/131.78 inference(scs_inference,[],[9078,9125,9129,9206,9181,9291,9294,9189,8503,8880,8998,9014,9107,9113,9183,9195,9021,8432,8488,8845,9209,8606,9051,9065,9228,9170,8399,9055,8637,8262,8634,9075,8519,8712,8521,8330,9033,9307,9313,4476,4728,8264,9310,8396,9277,9280,9299,9302,8174,8201,9274,9349,8801,8933,9283,7859,790,167,152,256,257,254,255,162,222,168,169,252,253,250,251,177,188,187,186,202,174,198,199,221,176,175,241,192,189,179,191,171,201,182,239,227,203,234,178,225,260,184,226,237,249,5363,185,170,160])).
% 131.11/131.78 cnf(9390,plain,
% 131.11/131.78 (P4(f6(x93901,x93901,x93902),x93901,x93901,x93901)),
% 131.11/131.78 inference(scs_inference,[],[9332,8330,7842,167])).
% 131.11/131.78 cnf(9392,plain,
% 131.11/131.78 (P8(a17,a17,a18,a18,a17,a3,a3,a18)),
% 131.11/131.78 inference(scs_inference,[],[8694,9332,8330,7842,167,254])).
% 131.11/131.78 cnf(9396,plain,
% 131.11/131.78 (P8(a3,a2,a3,a2,a2,a3,a3,a2)),
% 131.11/131.78 inference(scs_inference,[],[8694,8209,8535,9332,8330,7842,167,254,257,256])).
% 131.11/131.78 cnf(9398,plain,
% 131.11/131.78 (P8(a3,a18,a17,a3,a18,a18,a17,a17)),
% 131.11/131.78 inference(scs_inference,[],[8694,8209,8535,9332,8330,7842,167,254,257,256,255])).
% 131.11/131.78 cnf(9400,plain,
% 131.11/131.78 (P7(a16,a2,a1)),
% 131.11/131.78 inference(scs_inference,[],[8694,8209,8535,9363,9332,8330,7842,167,254,257,256,255,152])).
% 131.11/131.78 cnf(9404,plain,
% 131.11/131.78 (P9(a1,a2,a1,a16,a16,a2,a16,a16)),
% 131.11/131.78 inference(scs_inference,[],[9123,8694,8209,8535,9363,9332,8678,8330,7842,167,254,257,256,255,152,162,222])).
% 131.11/131.78 cnf(9406,plain,
% 131.11/131.78 (P4(a2,a2,a18,a2)),
% 131.11/131.78 inference(scs_inference,[],[9123,8694,8209,8535,9245,9363,9332,8678,8330,7842,167,254,257,256,255,152,162,222,168])).
% 131.11/131.78 cnf(9408,plain,
% 131.11/131.78 (P4(x94081,a3,a3,f14(a16,a3,a16,a3,a2,a16))),
% 131.11/131.78 inference(scs_inference,[],[9123,8694,8209,8535,9245,9363,9332,8678,9261,8330,7842,167,254,257,256,255,152,162,222,168,169])).
% 131.11/131.78 cnf(9412,plain,
% 131.11/131.78 (P9(a3,a2,a2,a2,a18,a3,a2,a18)),
% 131.11/131.78 inference(scs_inference,[],[9123,8694,8772,8209,8535,9245,9363,9332,8678,9261,8330,7842,167,254,257,256,255,152,162,222,168,169,252,253])).
% 131.11/131.78 cnf(9416,plain,
% 131.11/131.78 (P9(a3,a18,a2,a3,a18,a2,a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[9123,8694,8772,8209,8535,8882,9245,9363,9332,8678,9261,8330,7842,167,254,257,256,255,152,162,222,168,169,252,253,250,251])).
% 131.11/131.78 cnf(9419,plain,
% 131.11/131.78 (P9(x94191,x94192,x94192,x94191,x94193,x94194,x94194,x94193)),
% 131.11/131.78 inference(rename_variables,[],[8519])).
% 131.11/131.78 cnf(9421,plain,
% 131.11/131.78 (P10(a16,a16,a3,a3)),
% 131.11/131.78 inference(scs_inference,[],[9123,8694,8772,9247,8209,8535,8882,9245,9363,9332,8678,9261,9309,8519,8330,7842,167,254,257,256,255,152,162,222,168,169,252,253,250,251,240,156])).
% 131.11/131.78 cnf(9424,plain,
% 131.11/131.78 (P9(x94241,x94242,x94242,x94241,x94243,x94244,x94244,x94243)),
% 131.11/131.78 inference(rename_variables,[],[8519])).
% 131.11/131.78 cnf(9429,plain,
% 131.11/131.78 (P8(a16,a16,a16,a3,a16,a16,a16,a3)),
% 131.11/131.78 inference(scs_inference,[],[9123,8694,8772,9247,8209,8535,8882,9245,9354,9363,9332,8678,9261,9309,8519,9419,9424,8330,7842,167,254,257,256,255,152,162,222,168,169,252,253,250,251,240,156,243,247,221])).
% 131.11/131.78 cnf(9431,plain,
% 131.11/131.78 (P5(a1,a1,a1,f4(a1,a1,a1))),
% 131.11/131.78 inference(scs_inference,[],[9123,8694,8772,9247,8209,8535,8882,9245,9354,9363,9332,8678,9261,9309,8519,9419,9424,8330,8264,7842,167,254,257,256,255,152,162,222,168,169,252,253,250,251,240,156,243,247,221,186])).
% 131.11/131.78 cnf(9432,plain,
% 131.11/131.78 (P3(x94321,x94322,x94321,x94322)),
% 131.11/131.78 inference(rename_variables,[],[8264])).
% 131.11/131.78 cnf(9439,plain,
% 131.11/131.78 (P1(a1,a1,f4(a1,a1,a1))),
% 131.11/131.78 inference(scs_inference,[],[9123,8694,8772,9247,8209,8535,8882,9245,9312,9354,9363,9332,8678,9261,9309,8527,8519,9419,9424,8330,8264,9432,7842,167,254,257,256,255,152,162,222,168,169,252,253,250,251,240,156,243,247,221,186,202,197,174])).
% 131.11/131.78 cnf(9440,plain,
% 131.11/131.78 (P3(x94401,x94402,x94401,x94402)),
% 131.11/131.78 inference(rename_variables,[],[8264])).
% 131.11/131.78 cnf(9443,plain,
% 131.11/131.78 (P3(x94431,x94432,x94431,x94432)),
% 131.11/131.78 inference(rename_variables,[],[8264])).
% 131.11/131.78 cnf(9446,plain,
% 131.11/131.78 (P3(x94461,x94462,x94461,x94462)),
% 131.11/131.78 inference(rename_variables,[],[8264])).
% 131.11/131.78 cnf(9449,plain,
% 131.11/131.78 (P3(x94491,x94492,x94491,x94492)),
% 131.11/131.78 inference(rename_variables,[],[8264])).
% 131.11/131.78 cnf(9452,plain,
% 131.11/131.78 (P9(x94521,x94522,x94523,x94524,x94522,x94521,x94524,x94523)),
% 131.11/131.78 inference(rename_variables,[],[8712])).
% 131.11/131.78 cnf(9455,plain,
% 131.11/131.78 (P3(x94551,x94552,x94552,x94551)),
% 131.11/131.78 inference(rename_variables,[],[8396])).
% 131.11/131.78 cnf(9457,plain,
% 131.11/131.78 (P3(a1,a1,a3,a1)),
% 131.11/131.78 inference(scs_inference,[],[9123,8694,8772,9247,8209,8535,8882,9245,9304,9312,9354,9363,9332,8678,9261,9309,8096,8527,8519,9419,9424,8712,8330,9033,8264,9432,9440,9443,9446,8396,7842,167,254,257,256,255,152,162,222,168,169,252,253,250,251,240,156,243,247,221,186,202,197,174,199,192,198,238,189,179])).
% 131.11/131.78 cnf(9462,plain,
% 131.11/131.78 (P7(f23(a16,a3,a16,a3,a16,a16),a16,a3)),
% 131.11/131.78 inference(scs_inference,[],[9123,8694,8772,9247,8209,8535,8696,8882,9245,9304,9312,9354,9363,9332,8678,9261,9309,8096,8527,8519,9419,9424,8712,8330,9033,8264,9432,9440,9443,9446,8396,8392,7842,167,254,257,256,255,152,162,222,168,169,252,253,250,251,240,156,243,247,221,186,202,197,174,199,192,198,238,189,179,241,201])).
% 131.11/131.78 cnf(9464,plain,
% 131.11/131.78 (P3(a18,a18,a3,a18)),
% 131.11/131.78 inference(scs_inference,[],[9123,8694,8772,9247,8209,8535,8696,8882,9245,9304,9312,9354,9363,9332,8678,9261,9309,8096,8527,8519,9419,9424,8712,9452,8330,9033,8264,9432,9440,9443,9446,8396,8392,7842,167,254,257,256,255,152,162,222,168,169,252,253,250,251,240,156,243,247,221,186,202,197,174,199,192,198,238,189,179,241,201,239])).
% 131.11/131.78 cnf(9465,plain,
% 131.11/131.78 (P9(x94651,x94652,x94653,x94654,x94652,x94651,x94654,x94653)),
% 131.11/131.78 inference(rename_variables,[],[8712])).
% 131.11/131.78 cnf(9470,plain,
% 131.11/131.78 (P5(a3,a16,a3,a3)),
% 131.11/131.78 inference(scs_inference,[],[9123,8694,8772,9247,8209,8535,8696,8882,9245,9304,9312,9354,9363,9332,8678,9261,9309,8096,8527,8519,9419,9424,8712,9452,8330,9033,8264,9432,9440,9443,9446,9449,8396,9455,8392,7842,167,254,257,256,255,152,162,222,168,169,252,253,250,251,240,156,243,247,221,186,202,197,174,199,192,198,238,189,179,241,201,239,191,171])).
% 131.11/131.78 cnf(9473,plain,
% 131.11/131.78 (P2(a18,a3,a18,a18)),
% 131.11/131.78 inference(scs_inference,[],[9123,8694,8772,9247,8209,8535,8696,8882,9245,9304,9312,9354,9363,9332,8678,9261,9309,8096,8527,8519,9419,9424,8712,9452,8330,9033,8264,9432,9440,9443,9446,9449,8396,9455,8392,7842,167,254,257,256,255,152,162,222,168,169,252,253,250,251,240,156,243,247,221,186,202,197,174,199,192,198,238,189,179,241,201,239,191,171,182])).
% 131.11/131.78 cnf(9480,plain,
% 131.11/131.78 (P4(a2,a2,a2,a18)),
% 131.11/131.78 inference(scs_inference,[],[9123,8694,8772,9247,8209,8535,8696,8882,9245,9304,9312,9325,9354,9363,9332,8678,9261,8984,9309,8096,6747,8527,8519,9419,9424,8219,8712,9452,8330,9033,8264,9432,9440,9443,9446,9449,8396,9455,8392,7842,167,254,257,256,255,152,162,222,168,169,252,253,250,251,240,156,243,247,221,186,202,197,174,199,192,198,238,189,179,241,201,239,191,171,182,203,180,234])).
% 131.11/131.78 cnf(9485,plain,
% 131.11/131.78 (P9(a2,a3,a3,a18,a2,a2,a2,a18)),
% 131.11/131.78 inference(scs_inference,[],[9123,8694,8772,9247,8209,8535,8696,8882,9245,9304,9312,9325,9354,9363,9332,8678,8978,9261,8984,9031,9309,8096,6747,8527,8519,9419,9424,8219,8712,9452,9465,8330,9033,8264,9432,9440,9443,9446,9449,8396,9455,8392,7842,167,254,257,256,255,152,162,222,168,169,252,253,250,251,240,156,243,247,221,186,202,197,174,199,192,198,238,189,179,241,201,239,191,171,182,203,180,234,225,260])).
% 131.11/131.78 cnf(9488,plain,
% 131.11/131.78 (P4(a3,a18,a18,a18)),
% 131.11/131.78 inference(scs_inference,[],[9123,8694,8772,9247,8209,8535,8696,8882,9245,9304,9312,9325,9354,9363,9332,8678,8978,9261,8984,9031,9309,8096,6747,8527,8519,9419,9424,8219,8712,9452,9465,8330,9033,8264,9432,9440,9443,9446,9449,8396,9455,8392,7842,167,254,257,256,255,152,162,222,168,169,252,253,250,251,240,156,243,247,221,186,202,197,174,199,192,198,238,189,179,241,201,239,191,171,182,203,180,234,225,260,194])).
% 131.11/131.78 cnf(9490,plain,
% 131.11/131.78 (P7(f7(a3,a16,a3),a3,a3)),
% 131.11/131.78 inference(scs_inference,[],[9123,8694,8772,9247,8209,8535,8696,8882,9245,9304,9312,9325,9354,9363,9332,8678,8978,9261,8984,9031,9309,8096,8750,6747,9181,8527,8519,9419,9424,8219,8712,9452,9465,8330,9033,8264,9432,9440,9443,9446,9449,8396,9455,8392,7842,167,254,257,256,255,152,162,222,168,169,252,253,250,251,240,156,243,247,221,186,202,197,174,199,192,198,238,189,179,241,201,239,191,171,182,203,180,234,225,260,194,184])).
% 131.11/131.78 cnf(9494,plain,
% 131.11/131.78 (P7(a2,a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[9123,8694,8772,9247,8209,8535,8696,8882,9245,9304,9312,9325,9354,9363,9332,8678,8978,9261,8984,9031,9309,8096,8750,6747,9181,8527,8519,9419,9424,8219,8712,9452,9465,8330,9033,4845,8264,9432,9440,9443,9446,9449,8396,9455,8174,8392,7842,167,254,257,256,255,152,162,222,168,169,252,253,250,251,240,156,243,247,221,186,202,197,174,199,192,198,238,189,179,241,201,239,191,171,182,203,180,234,225,260,194,184,237])).
% 131.11/131.78 cnf(9497,plain,
% 131.11/131.78 (P7(a3,a17,a3)),
% 131.11/131.78 inference(scs_inference,[],[9123,8694,8772,9247,8209,8535,8696,8882,9245,9304,9312,9325,9351,9354,9363,9332,8678,8978,9261,8984,9031,9309,8096,8750,6747,9181,8527,8519,9419,9424,8219,8712,9452,9465,8330,5543,9033,4845,8264,9432,9440,9443,9446,9449,8396,9455,8169,8174,8392,7842,167,254,257,256,255,152,162,222,168,169,252,253,250,251,240,156,243,247,221,186,202,197,174,199,192,198,238,189,179,241,201,239,191,171,182,203,180,234,225,260,194,184,237,160])).
% 131.11/131.78 cnf(9508,plain,
% 131.11/131.78 (P5(a16,a16,a1,a1)),
% 131.11/131.78 inference(scs_inference,[],[9123,8694,8772,9247,8209,8535,8696,8882,9245,9304,9312,9325,9351,9354,9363,9332,8678,8978,9213,9261,8984,9031,9309,8888,8505,8307,8096,8517,8750,6747,9181,8527,8519,9419,9424,8219,8712,9452,9465,8330,5543,9033,4899,4845,8264,9432,9440,9443,9446,9449,8334,8396,9455,8169,8174,8201,8392,7842,167,254,257,256,255,152,162,222,168,169,252,253,250,251,240,156,243,247,221,186,202,197,174,199,192,198,238,189,179,241,201,239,191,171,182,203,180,234,225,260,194,184,237,160,173,207,206,249])).
% 131.11/131.78 cnf(9513,plain,
% 131.11/131.78 (P3(f8(a3,a18,a18,a18),a3,a3,a18)),
% 131.11/131.78 inference(scs_inference,[],[9123,8694,8772,9247,8209,8535,8696,8882,9245,9304,9312,9325,9351,9354,9363,9332,8678,8978,9213,9261,8984,9031,9309,8888,8505,8307,8096,8517,8750,6747,9181,8527,8519,9419,9424,8219,8712,9452,9465,8330,5543,9033,4899,4845,8264,9432,9440,9443,9446,9449,8334,8396,9455,8169,8174,8201,8392,7842,167,254,257,256,255,152,162,222,168,169,252,253,250,251,240,156,243,247,221,186,202,197,174,199,192,198,238,189,179,241,201,239,191,171,182,203,180,234,225,260,194,184,237,160,173,207,206,249,790,185])).
% 131.11/131.78 cnf(9517,plain,
% 131.11/131.78 (P3(a3,a18,a18,a18)),
% 131.11/131.78 inference(scs_inference,[],[9123,8694,8772,9247,8209,8530,8535,8696,8882,9245,9304,9312,9325,9351,9354,9363,9332,8678,8978,9213,9261,8984,9031,9309,8888,8505,8307,8096,8517,8750,6747,9181,8527,8519,9419,9424,8219,8712,9452,9465,8330,5543,9033,4899,4960,4845,8264,9432,9440,9443,9446,9449,8334,8396,9455,8169,8174,8201,8392,7842,167,254,257,256,255,152,162,222,168,169,252,253,250,251,240,156,243,247,221,186,202,197,174,199,192,198,238,189,179,241,201,239,191,171,182,203,180,234,225,260,194,184,237,160,173,207,206,249,790,185,218,170])).
% 131.11/131.78 cnf(9527,plain,
% 131.11/131.78 (P8(a3,a3,a3,a1,a3,a17,a17,a17)),
% 131.11/131.78 inference(scs_inference,[],[9357,254])).
% 131.11/131.78 cnf(9529,plain,
% 131.11/131.78 (P4(a18,a3,a18,a18)),
% 131.11/131.78 inference(scs_inference,[],[9357,9488,254,167])).
% 131.11/131.78 cnf(9531,plain,
% 131.11/131.78 (P8(a17,a3,a17,a17,a3,a3,a3,a1)),
% 131.11/131.78 inference(scs_inference,[],[9357,9488,254,167,256])).
% 131.11/131.78 cnf(9533,plain,
% 131.11/131.78 (P10(f5(a3,a3,a1),a3,a16,a2)),
% 131.11/131.78 inference(scs_inference,[],[9357,9488,8686,254,167,256,162])).
% 131.11/131.78 cnf(9535,plain,
% 131.11/131.78 (P8(a3,a17,a3,a3,a17,a17,a3,a1)),
% 131.11/131.78 inference(scs_inference,[],[9357,9488,8686,254,167,256,162,257])).
% 131.11/131.78 cnf(9537,plain,
% 131.11/131.78 (P8(a17,a17,a3,a17,a3,a1,a3,a3)),
% 131.11/131.78 inference(scs_inference,[],[9357,9488,8686,254,167,256,162,257,255])).
% 131.11/131.78 cnf(9539,plain,
% 131.11/131.78 (P7(a3,a3,a17)),
% 131.11/131.78 inference(scs_inference,[],[9357,9488,9497,8686,254,167,256,162,257,255,152])).
% 131.11/131.78 cnf(9541,plain,
% 131.11/131.78 (P9(a3,x95411,a3,a3,f14(a16,a3,a16,a3,a2,a16),x95411,f14(a16,a3,a16,a3,a2,a16),a3)),
% 131.11/131.78 inference(scs_inference,[],[9357,9488,9497,8686,9408,254,167,256,162,257,255,152,222])).
% 131.11/131.78 cnf(9543,plain,
% 131.11/131.78 (P4(x95431,x95431,f6(x95431,x95431,x95432),x95431)),
% 131.11/131.78 inference(scs_inference,[],[9357,9488,9497,8686,9408,9332,254,167,256,162,257,255,152,222,168])).
% 131.11/131.78 cnf(9545,plain,
% 131.11/131.78 (P4(x95451,x95451,x95451,f6(x95451,x95451,x95452))),
% 131.11/131.78 inference(scs_inference,[],[9357,9488,9497,8686,9408,9332,254,167,256,162,257,255,152,222,168,169])).
% 131.11/131.78 cnf(9547,plain,
% 131.11/131.78 (P9(a1,a2,a2,a16,a16,a1,a16,a16)),
% 131.11/131.78 inference(scs_inference,[],[9357,8992,9488,9497,8686,9408,9332,254,167,256,162,257,255,152,222,168,169,252])).
% 131.11/131.78 cnf(9549,plain,
% 131.11/131.78 (P9(a2,a2,a3,a2,a2,a18,a18,a3)),
% 131.11/131.78 inference(scs_inference,[],[9357,9200,8992,9488,9497,8686,9408,9332,254,167,256,162,257,255,152,222,168,169,252,253])).
% 131.11/131.78 cnf(9551,plain,
% 131.11/131.78 (P9(a18,a2,a3,a18,a2,a2,a2,a3)),
% 131.11/131.78 inference(scs_inference,[],[9357,9200,8886,8992,9488,9497,8686,9408,9332,254,167,256,162,257,255,152,222,168,169,252,253,250])).
% 131.11/131.78 cnf(9553,plain,
% 131.11/131.78 (P9(a2,a2,a2,a3,a2,a18,a18,a3)),
% 131.11/131.78 inference(scs_inference,[],[9357,9200,8886,8942,8992,9488,9497,8686,9408,9332,254,167,256,162,257,255,152,222,168,169,252,253,250,251])).
% 131.11/131.78 cnf(9556,plain,
% 131.11/131.78 (P9(x95561,x95562,x95563,x95564,x95561,x95562,x95563,x95564)),
% 131.11/131.78 inference(rename_variables,[],[8221])).
% 131.11/131.78 cnf(9564,plain,
% 131.11/131.78 (P9(x95641,x95642,x95642,x95641,x95643,x95644,x95643,x95644)),
% 131.11/131.78 inference(rename_variables,[],[8219])).
% 131.11/131.78 cnf(9576,plain,
% 131.11/131.78 (P8(a16,a2,a2,a1,a16,a2,a2,a1)),
% 131.11/131.78 inference(scs_inference,[],[9357,9200,8886,8942,8992,9400,9464,9488,9497,9517,8686,9408,9490,9332,8219,9564,8221,9556,8201,254,167,256,162,257,255,152,222,168,169,252,253,250,251,245,188,246,248,244,187,820,175,221])).
% 131.11/131.78 cnf(9578,plain,
% 131.11/131.78 (P5(a3,a16,a3,f4(a16,a3,a3))),
% 131.11/131.78 inference(scs_inference,[],[9357,9200,8886,8942,8992,9400,9464,9470,9488,9497,9517,8686,9408,9490,9332,8219,9564,8221,9556,8201,8933,254,167,256,162,257,255,152,222,168,169,252,253,250,251,245,188,246,248,244,187,820,175,221,186])).
% 131.11/131.78 cnf(9579,plain,
% 131.11/131.78 (P3(x95791,a3,a3,a3)),
% 131.11/131.78 inference(rename_variables,[],[8933])).
% 131.11/131.78 cnf(9587,plain,
% 131.11/131.78 (P2(f9(a3,a18,a18),a3,a18,a18)),
% 131.11/131.78 inference(scs_inference,[],[9357,9200,8886,8942,8992,9400,9464,9470,9488,9497,9517,8686,9408,9490,9332,9312,9304,8219,9564,8221,9556,8201,8933,254,167,256,162,257,255,152,222,168,169,252,253,250,251,245,188,246,248,244,187,820,175,221,186,197,202,192,189])).
% 131.11/131.78 cnf(9597,plain,
% 131.11/131.78 (P9(x95971,x95972,x95973,x95974,x95971,x95972,x95974,x95973)),
% 131.11/131.78 inference(rename_variables,[],[8521])).
% 131.11/131.78 cnf(9603,plain,
% 131.11/131.78 (P3(a2,a3,a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[9357,9200,8886,8942,8992,9400,9464,9470,9488,9497,9517,8686,8972,9408,9490,9325,9332,9312,9075,8521,9304,8219,9564,8221,9556,9354,8201,8933,9579,5198,254,167,256,162,257,255,152,222,168,169,252,253,250,251,245,188,246,248,244,187,820,175,221,186,197,202,192,189,174,199,176,238,198,241,239])).
% 131.11/131.78 cnf(9605,plain,
% 131.11/131.78 (P7(f23(a2,a1,a2,a1,a16,a16),a2,a1)),
% 131.11/131.78 inference(scs_inference,[],[9357,9200,8886,8942,8992,9400,9464,9470,9488,9497,9517,8686,8972,9408,9490,9325,9332,9312,9075,8521,9304,8219,9564,8221,9556,9354,8201,8933,9579,5198,254,167,256,162,257,255,152,222,168,169,252,253,250,251,245,188,246,248,244,187,820,175,221,186,197,202,192,189,174,199,176,238,198,241,239,201])).
% 131.11/131.78 cnf(9611,plain,
% 131.11/131.78 (P2(a3,a16,a3,a3)),
% 131.11/131.78 inference(scs_inference,[],[9357,9200,8886,8942,8992,9400,9464,9470,9488,9497,9517,8627,8686,8972,9408,9490,9325,9332,9312,9075,8521,9304,8219,9564,8221,9556,9354,8201,8933,9579,5198,254,167,256,162,257,255,152,222,168,169,252,253,250,251,245,188,246,248,244,187,820,175,221,186,197,202,192,189,174,199,176,238,198,241,239,201,191,171,182])).
% 131.11/131.78 cnf(9620,plain,
% 131.11/131.78 (P9(a2,a2,a2,a3,a2,a18,a3,a18)),
% 131.11/131.78 inference(scs_inference,[],[9357,9200,8886,8942,8992,9127,9323,9400,9464,9470,9488,9497,9517,8627,8686,8972,8417,9408,9490,9325,9332,9312,9075,8521,9597,9304,8219,9564,8330,8221,9556,9354,8201,8933,9579,5198,254,167,256,162,257,255,152,222,168,169,252,253,250,251,245,188,246,248,244,187,820,175,221,186,197,202,192,189,174,199,176,238,198,241,239,201,191,171,182,203,234,225,260])).
% 131.11/131.78 cnf(9621,plain,
% 131.11/131.78 (P9(x96211,x96212,x96213,x96214,x96211,x96212,x96214,x96213)),
% 131.11/131.78 inference(rename_variables,[],[8521])).
% 131.11/131.78 cnf(9623,plain,
% 131.11/131.78 (P4(a16,a3,a3,a3)),
% 131.11/131.78 inference(scs_inference,[],[9357,9200,8886,8942,8992,9127,9323,9400,9464,9470,9488,9497,9517,8627,8686,8972,8417,9408,9490,9325,9332,9312,9075,8521,9597,9304,8219,9564,8330,8221,9556,9354,8201,8933,9579,5198,254,167,256,162,257,255,152,222,168,169,252,253,250,251,245,188,246,248,244,187,820,175,221,186,197,202,192,189,174,199,176,238,198,241,239,201,191,171,182,203,234,225,260,194])).
% 131.11/131.78 cnf(9625,plain,
% 131.11/131.78 (P7(f7(a3,a17,a3),a3,a3)),
% 131.11/131.78 inference(scs_inference,[],[9357,9200,8886,8942,8992,9127,9323,9400,9464,9470,9488,9497,9517,8627,8686,8972,8417,9408,9490,9325,9332,9312,9075,8750,8521,9597,9181,9304,8219,9564,8330,8221,9556,9354,8201,8933,9579,5198,254,167,256,162,257,255,152,222,168,169,252,253,250,251,245,188,246,248,244,187,820,175,221,186,197,202,192,189,174,199,176,238,198,241,239,201,191,171,182,203,234,225,260,194,184])).
% 131.11/131.78 cnf(9629,plain,
% 131.11/131.78 (P7(a18,a18,a18)),
% 131.11/131.78 inference(scs_inference,[],[9357,9200,8886,8942,8992,9127,9323,9400,9464,9470,9473,9488,9497,9517,8627,8686,8972,8417,9408,9490,9325,9332,9312,9075,8750,8521,9597,9181,9304,4788,8219,9564,8330,8221,9556,8334,9354,8201,8933,9579,5198,254,167,256,162,257,255,152,222,168,169,252,253,250,251,245,188,246,248,244,187,820,175,221,186,197,202,192,189,174,199,176,238,198,241,239,201,191,171,182,203,234,225,260,194,184,237])).
% 131.11/131.78 cnf(9630,plain,
% 131.11/131.78 (P9(x96301,x96302,x96301,x96302,x96303,x96304,x96304,x96303)),
% 131.11/131.78 inference(rename_variables,[],[8334])).
% 131.11/131.78 cnf(9632,plain,
% 131.11/131.78 (P7(a2,x96321,x96321)),
% 131.11/131.78 inference(scs_inference,[],[9357,9200,8886,8942,8992,9127,9323,9400,9464,9470,9473,9488,9494,9497,9517,8627,8686,8972,8417,9408,9490,9325,9332,9312,9075,8750,8521,9597,9181,9304,4788,8219,9564,8330,8221,9556,8334,9354,8169,8201,8933,9579,5198,254,167,256,162,257,255,152,222,168,169,252,253,250,251,245,188,246,248,244,187,820,175,221,186,197,202,192,189,174,199,176,238,198,241,239,201,191,171,182,203,234,225,260,194,184,237,173])).
% 131.11/131.78 cnf(9636,plain,
% 131.11/131.78 (P5(a2,a2,a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[9357,9200,8886,8942,8992,9127,9323,9400,9406,9464,9470,9473,9488,9494,9497,9517,8627,8686,8972,8417,9408,9490,9325,9332,9312,9075,8750,8521,9597,9181,9304,4788,8219,9564,8330,8221,9556,8334,9630,9354,8169,8201,8933,9579,5198,254,167,256,162,257,255,152,222,168,169,252,253,250,251,245,188,246,248,244,187,820,175,221,186,197,202,192,189,174,199,176,238,198,241,239,201,191,171,182,203,234,225,260,194,184,237,173,249])).
% 131.11/131.78 cnf(9639,plain,
% 131.11/131.78 (P7(f7(a3,a17,a3),a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[9357,9200,8886,8942,8992,9127,9323,9400,9406,9464,9470,9473,9488,9494,9497,9517,8627,8686,8972,8417,9408,9490,9325,9332,9312,9075,8750,8521,9597,9181,9304,4788,8219,9564,8330,8221,9556,8334,9630,9354,8169,8201,8933,9579,5198,254,167,256,162,257,255,152,222,168,169,252,253,250,251,245,188,246,248,244,187,820,175,221,186,197,202,192,189,174,199,176,238,198,241,239,201,191,171,182,203,234,225,260,194,184,237,173,249,790])).
% 131.11/131.78 cnf(9641,plain,
% 131.11/131.78 (P3(f8(a16,a3,a3,a3),a16,a16,a3)),
% 131.11/131.78 inference(scs_inference,[],[9357,9200,8886,8942,8992,9127,9323,9400,9406,9464,9470,9473,9488,9494,9497,9517,8627,8686,8972,8417,9408,9490,9325,9332,9312,9075,8750,8521,9597,9181,9304,4788,8219,9564,8330,8221,9556,8334,9630,9354,8169,8201,8933,9579,5198,254,167,256,162,257,255,152,222,168,169,252,253,250,251,245,188,246,248,244,187,820,175,221,186,197,202,192,189,174,199,176,238,198,241,239,201,191,171,182,203,234,225,260,194,184,237,173,249,790,185])).
% 131.11/131.78 cnf(9646,plain,
% 131.11/131.78 (P9(x96461,x96462,x96463,x96464,x96461,x96462,x96464,x96463)),
% 131.11/131.78 inference(rename_variables,[],[8521])).
% 131.11/131.78 cnf(9651,plain,
% 131.11/131.78 (P3(a1,a18,a18,a18)),
% 131.11/131.78 inference(scs_inference,[],[9357,9200,8886,8942,8992,9127,9323,9400,9406,9464,9470,9473,9488,9494,9497,9517,8627,8686,8972,8417,9408,9490,9325,9332,320,9312,9075,8750,8521,9597,9621,9646,9181,9304,4788,8219,9564,8330,8221,9556,8334,9630,9354,8169,8201,8933,9579,5198,254,167,256,162,257,255,152,222,168,169,252,253,250,251,245,188,246,248,244,187,820,175,221,186,197,202,192,189,174,199,176,238,198,241,239,201,191,171,182,203,234,225,260,194,184,237,173,249,790,185,232,243,247,179])).
% 131.11/131.78 cnf(9657,plain,
% 131.11/131.78 (P8(a17,a3,a17,a1,a3,a17,a1,a1)),
% 131.11/131.78 inference(scs_inference,[],[8862,256])).
% 131.11/131.78 cnf(9659,plain,
% 131.11/131.78 (P8(a1,a1,a17,a17,a1,a3,a3,a17)),
% 131.11/131.78 inference(scs_inference,[],[8318,8862,256,254])).
% 131.11/131.78 cnf(9661,plain,
% 131.11/131.78 (P4(a3,a16,a3,a3)),
% 131.11/131.78 inference(scs_inference,[],[8318,8862,9623,256,254,167])).
% 131.11/131.78 cnf(9665,plain,
% 131.11/131.78 (P8(a3,a16,a16,a2,a3,a3,a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[8318,8507,8862,9623,8710,256,254,167,222,257])).
% 131.11/131.78 cnf(9667,plain,
% 131.11/131.78 (P7(f23(a2,a1,a2,a1,a16,a16),a1,a2)),
% 131.11/131.78 inference(scs_inference,[],[8318,8507,8862,9623,9605,8710,256,254,167,222,257,152])).
% 131.11/131.78 cnf(9671,plain,
% 131.11/131.78 (P8(a3,a17,a1,a3,a17,a17,a1,a1)),
% 131.11/131.78 inference(scs_inference,[],[8318,8507,8862,9623,8851,9605,8710,256,254,167,222,257,152,162,255])).
% 131.11/131.78 cnf(9673,plain,
% 131.11/131.78 (P4(a18,a18,a3,a18)),
% 131.11/131.78 inference(scs_inference,[],[8318,8507,8862,9529,9623,8851,9605,8710,256,254,167,222,257,152,162,255,168])).
% 131.11/131.78 cnf(9675,plain,
% 131.11/131.78 (P4(a18,a18,a18,a3)),
% 131.11/131.78 inference(scs_inference,[],[8318,8507,8862,9529,9623,8851,9605,8710,256,254,167,222,257,152,162,255,168,169])).
% 131.11/131.78 cnf(9677,plain,
% 131.11/131.78 (P9(a18,a2,a2,a2,a18,a3,a3,a2)),
% 131.11/131.78 inference(scs_inference,[],[9269,8318,8507,8862,9529,9623,8851,9605,8710,256,254,167,222,257,152,162,255,168,169,252])).
% 131.11/131.78 cnf(9681,plain,
% 131.11/131.78 (P9(a16,a16,a16,a2,a1,a16,a1,a2)),
% 131.11/131.78 inference(scs_inference,[],[9006,9269,8318,8507,8862,9259,9529,9623,8851,9605,8710,256,254,167,222,257,152,162,255,168,169,252,253,250])).
% 131.11/131.78 cnf(9683,plain,
% 131.11/131.78 (P9(a3,a18,a2,a18,a2,a3,a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[9006,9059,9269,8318,8507,8862,9259,9529,9623,8851,9605,8710,256,254,167,222,257,152,162,255,168,169,252,253,250,251])).
% 131.11/131.78 cnf(9685,plain,
% 131.11/131.78 (P7(a1,a1,f4(a1,a1,a1))),
% 131.11/131.78 inference(scs_inference,[],[9006,9059,9269,8318,8507,8862,9259,9529,9623,8851,9605,9439,9431,8710,256,254,167,222,257,152,162,255,168,169,252,253,250,251,159])).
% 131.11/131.78 cnf(9687,plain,
% 131.11/131.78 (P3(f13(a1,a18,a18,a2,a2),a1,a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[9006,9059,9269,8318,8507,8862,9259,9529,9623,9651,8851,9605,9439,9431,8710,6767,256,254,167,222,257,152,162,255,168,169,252,253,250,251,159,196])).
% 131.11/131.78 cnf(9689,plain,
% 131.11/131.78 (P1(f13(a1,a18,a18,a2,a2),a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[9006,9059,9269,8318,8507,8862,9259,9529,9623,9651,8851,9605,9439,9431,8710,6767,256,254,167,222,257,152,162,255,168,169,252,253,250,251,159,196,195])).
% 131.11/131.78 cnf(9691,plain,
% 131.11/131.78 (P10(a3,a3,a17,a17)),
% 131.11/131.78 inference(scs_inference,[],[9006,9059,9269,8318,8507,8862,9259,9529,9539,9623,9651,8851,9605,9439,9431,8710,6767,256,254,167,222,257,152,162,255,168,169,252,253,250,251,159,196,195,155])).
% 131.11/131.78 cnf(9693,plain,
% 131.11/131.78 (P1(f15(a18,a18,a1,a18),a18,a18)),
% 131.11/131.78 inference(scs_inference,[],[9006,9059,9269,8318,8507,8862,9259,9529,9539,9623,9651,8851,9605,9439,9431,8710,6767,8221,256,254,167,222,257,152,162,255,168,169,252,253,250,251,159,196,195,155,246])).
% 131.11/131.78 cnf(9694,plain,
% 131.11/131.78 (P9(x96941,x96942,x96943,x96944,x96941,x96942,x96943,x96944)),
% 131.11/131.78 inference(rename_variables,[],[8221])).
% 131.11/131.78 cnf(9696,plain,
% 131.11/131.78 (P1(f15(a18,a18,a1,a18),a1,a18)),
% 131.11/131.78 inference(scs_inference,[],[9006,9059,9269,8318,8507,8862,9259,9529,9539,9623,9651,8851,9605,9439,9431,8710,6767,8221,9694,256,254,167,222,257,152,162,255,168,169,252,253,250,251,159,196,195,155,246,245])).
% 131.11/131.78 cnf(9702,plain,
% 131.11/131.78 (P9(x97021,x97022,x97022,x97021,x97023,x97024,x97023,x97024)),
% 131.11/131.78 inference(rename_variables,[],[8219])).
% 131.11/131.78 cnf(9704,plain,
% 131.11/131.78 (P1(f7(a3,a17,a3),a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[9006,9059,9269,8318,8507,8862,9259,9529,9539,9623,9651,8851,9605,9639,9439,9431,8710,6767,8219,9464,8221,9694,8169,9517,256,254,167,222,257,152,162,255,168,169,252,253,250,251,159,196,195,155,246,245,188,248,820])).
% 131.11/131.78 cnf(9707,plain,
% 131.11/131.78 (P1(a18,a18,f22(a18,a18,a1,a18))),
% 131.11/131.78 inference(scs_inference,[],[9006,9059,9269,8318,8507,8862,9259,9529,9539,9623,9651,8851,9605,9639,9439,9431,8710,6767,8219,9702,9464,8221,9694,8169,9517,256,254,167,222,257,152,162,255,168,169,252,253,250,251,159,196,195,155,246,245,188,248,820,244])).
% 131.11/131.78 cnf(9708,plain,
% 131.11/131.78 (P9(x97081,x97082,x97082,x97081,x97083,x97084,x97083,x97084)),
% 131.11/131.78 inference(rename_variables,[],[8219])).
% 131.11/131.78 cnf(9710,plain,
% 131.11/131.78 (P8(a2,x97101,x97101,x97101,a2,x97101,x97101,x97101)),
% 131.11/131.78 inference(scs_inference,[],[9006,9059,9269,9632,8318,8507,8862,9259,9529,9539,9623,9651,8851,9605,9639,9439,9431,8710,6767,8219,9702,9464,8221,9694,8169,9517,256,254,167,222,257,152,162,255,168,169,252,253,250,251,159,196,195,155,246,245,188,248,820,244,221])).
% 131.11/131.78 cnf(9713,plain,
% 131.11/131.78 (P3(x97131,x97132,x97131,x97132)),
% 131.11/131.78 inference(rename_variables,[],[8264])).
% 131.11/131.78 cnf(9716,plain,
% 131.11/131.78 (P5(x97161,a3,x97161,a3)),
% 131.11/131.78 inference(rename_variables,[],[9033])).
% 131.11/131.78 cnf(9719,plain,
% 131.11/131.78 (P3(x97191,x97192,x97191,x97192)),
% 131.11/131.78 inference(rename_variables,[],[8264])).
% 131.11/131.78 cnf(9724,plain,
% 131.11/131.78 (P3(x97241,x97242,x97241,x97242)),
% 131.11/131.78 inference(rename_variables,[],[8264])).
% 131.11/131.78 cnf(9727,plain,
% 131.11/131.78 (P3(x97271,x97272,x97271,x97272)),
% 131.11/131.78 inference(rename_variables,[],[8264])).
% 131.11/131.78 cnf(9732,plain,
% 131.11/131.78 (P3(x97321,x97322,x97321,x97322)),
% 131.11/131.78 inference(rename_variables,[],[8264])).
% 131.11/131.78 cnf(9734,plain,
% 131.11/131.78 (P3(a2,a2,a3,a2)),
% 131.11/131.78 inference(scs_inference,[],[9006,9059,9269,9480,9632,8318,8507,8862,9259,9529,9539,9603,9623,9636,9651,8851,9605,9639,9439,9431,8710,6767,9033,9716,8219,9702,9464,8264,9713,9719,9724,9727,8221,9694,8169,9517,256,254,167,222,257,152,162,255,168,169,252,253,250,251,159,196,195,155,246,245,188,248,820,244,221,174,197,186,202,189,199,192,198,179])).
% 131.11/131.78 cnf(9737,plain,
% 131.11/131.78 (P5(a3,a3,a3,a1)),
% 131.11/131.78 inference(scs_inference,[],[9006,9059,9269,9480,9632,8318,8507,8862,9259,9527,9529,9539,9603,9623,9636,9651,8851,9605,9639,9439,9431,8710,8262,6767,9033,9716,8219,9702,9464,8264,9713,9719,9724,9727,8221,9694,8169,9517,256,254,167,222,257,152,162,255,168,169,252,253,250,251,159,196,195,155,246,245,188,248,820,244,221,174,197,186,202,189,199,192,198,179,241])).
% 131.11/131.78 cnf(9739,plain,
% 131.11/131.78 (P3(a1,a1,a1,a3)),
% 131.11/131.78 inference(scs_inference,[],[9006,9059,9269,9480,9632,8318,8507,8862,9259,9457,9527,9529,9539,9603,9623,9636,9651,8851,9605,9639,9439,9431,8710,8262,6767,8712,9033,9716,8219,9702,9464,8264,9713,9719,9724,9727,8221,9694,8169,9517,256,254,167,222,257,152,162,255,168,169,252,253,250,251,159,196,195,155,246,245,188,248,820,244,221,174,197,186,202,189,199,192,198,179,241,239])).
% 131.11/131.78 cnf(9740,plain,
% 131.11/131.78 (P9(x97401,x97402,x97403,x97404,x97402,x97401,x97404,x97403)),
% 131.11/131.78 inference(rename_variables,[],[8712])).
% 131.11/131.78 cnf(9742,plain,
% 131.11/131.78 (P5(f5(a2,a2,a2),a2,f5(a2,a2,a2),a2)),
% 131.11/131.78 inference(scs_inference,[],[9006,9059,9269,9480,9632,8318,8507,8862,9259,9457,9527,9529,9539,9603,9623,9636,9651,8851,9605,9639,9439,9431,8710,8262,8637,6767,8712,9033,9716,8219,9702,9464,8264,9713,9719,9724,9727,8221,9694,8169,9517,256,254,167,222,257,152,162,255,168,169,252,253,250,251,159,196,195,155,246,245,188,248,820,244,221,174,197,186,202,189,199,192,198,179,241,239,171])).
% 131.11/131.78 cnf(9743,plain,
% 131.11/131.78 (P7(a2,x97431,x97431)),
% 131.11/131.78 inference(rename_variables,[],[9632])).
% 131.11/131.78 cnf(9748,plain,
% 131.11/131.78 (P7(f23(x97481,x97481,x97481,x97481,a2,a2),x97481,x97481)),
% 131.11/131.78 inference(scs_inference,[],[9006,9059,9269,9480,9632,9743,8318,8507,8862,9259,9457,9527,9529,9539,9603,9623,9636,9651,8851,9605,9639,9439,9431,8710,8262,8637,6767,8712,9033,9716,8219,9702,9464,8264,9713,9719,9724,9727,8221,9694,8169,9517,256,254,167,222,257,152,162,255,168,169,252,253,250,251,159,196,195,155,246,245,188,248,820,244,221,174,197,186,202,189,199,192,198,179,241,239,171,191,201])).
% 131.11/131.78 cnf(9750,plain,
% 131.11/131.78 (P2(a2,a2,a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[9006,9059,9269,9480,9632,9743,8318,8507,8862,9259,9457,9527,9529,9539,9603,9623,9636,9651,8851,9605,9639,9439,9431,8710,8262,8637,6767,8712,9033,9716,8219,9702,9464,8264,9713,9719,9724,9727,8221,9694,8169,9517,256,254,167,222,257,152,162,255,168,169,252,253,250,251,159,196,195,155,246,245,188,248,820,244,221,174,197,186,202,189,199,192,198,179,241,239,171,191,201,182])).
% 131.11/131.78 cnf(9754,plain,
% 131.11/131.78 (P4(x97541,a1,a1,a1)),
% 131.11/131.78 inference(scs_inference,[],[9006,9059,9269,9480,9632,9743,8318,8507,8862,9259,9457,9527,9529,9539,9603,9623,9636,9651,8851,9605,9639,9439,9431,8710,8262,8637,6767,4964,8712,8521,9033,9716,8219,9702,9464,8264,9713,9719,9724,9727,8221,9694,8169,9517,256,254,167,222,257,152,162,255,168,169,252,253,250,251,159,196,195,155,246,245,188,248,820,244,221,174,197,186,202,189,199,192,198,179,241,239,171,191,201,182,203,234])).
% 131.11/131.78 cnf(9757,plain,
% 131.11/131.78 (P8(a17,a17,a1,a1,a17,a17,a1,a1)),
% 131.11/131.78 inference(scs_inference,[],[8982,9006,9059,9269,9480,9632,9743,8318,8507,8862,9259,9457,9527,9529,9539,9603,9623,9636,9651,8851,9605,9639,9439,9431,8710,8141,8262,8637,6767,4964,8712,8521,9033,9716,8219,9702,9464,8264,9713,9719,9724,9727,8221,9694,8169,9517,256,254,167,222,257,152,162,255,168,169,252,253,250,251,159,196,195,155,246,245,188,248,820,244,221,174,197,186,202,189,199,192,198,179,241,239,171,191,201,182,203,234,261])).
% 131.11/131.78 cnf(9762,plain,
% 131.11/131.78 (P9(a16,a16,a16,a1,a16,a2,a1,a2)),
% 131.11/131.78 inference(scs_inference,[],[8982,9006,9059,9269,9480,9632,9743,8318,8507,8862,9131,9259,9457,9527,9529,9539,9603,9611,9623,9636,9651,8851,9605,9639,9439,9431,8710,8141,8262,8637,6767,4964,8712,9740,8521,9033,9716,8219,9702,9464,8264,9713,9719,9724,9727,8221,9694,8169,9517,256,254,167,222,257,152,162,255,168,169,252,253,250,251,159,196,195,155,246,245,188,248,820,244,221,174,197,186,202,189,199,192,198,179,241,239,171,191,201,182,203,234,261,225,260])).
% 131.11/131.78 cnf(9766,plain,
% 131.11/131.78 (P10(x97661,x97662,x97662,x97661)),
% 131.11/131.78 inference(rename_variables,[],[8201])).
% 131.11/131.78 cnf(9768,plain,
% 131.11/131.78 (P7(f7(a2,a3,a2),a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[8982,9006,9059,9269,9480,9632,9743,8318,8507,8862,9131,9259,9457,9527,9529,9539,9603,9611,9623,9629,9636,9651,8851,9605,9639,9439,9431,8710,8141,8937,8617,8262,8637,6767,4964,8712,9740,8521,9033,9716,8219,9702,9464,8264,9713,9719,9724,9727,9732,8221,9694,8201,8169,9517,256,254,167,222,257,152,162,255,168,169,252,253,250,251,159,196,195,155,246,245,188,248,820,244,221,174,197,186,202,189,199,192,198,179,241,239,171,191,201,182,203,234,261,225,260,190,184])).
% 131.11/131.78 cnf(9772,plain,
% 131.11/131.78 (P7(a1,a1,a1)),
% 131.11/131.78 inference(scs_inference,[],[8982,9006,9059,9269,9480,9632,9743,8318,8507,8862,9131,9259,9457,9527,9529,9539,9603,9611,9623,9629,9636,9651,8851,9605,9639,9439,9431,8710,8141,9309,8937,8617,8262,8637,6767,4964,8712,9740,8521,9033,9716,8219,9702,9708,9464,8264,9713,9719,9724,9727,9732,8221,9694,8201,8169,9517,256,254,167,222,257,152,162,255,168,169,252,253,250,251,159,196,195,155,246,245,188,248,820,244,221,174,197,186,202,189,199,192,198,179,241,239,171,191,201,182,203,234,261,225,260,190,184,237])).
% 131.11/131.78 cnf(9776,plain,
% 131.11/131.78 (P10(x97761,x97762,x97762,x97761)),
% 131.11/131.78 inference(rename_variables,[],[8201])).
% 131.11/131.78 cnf(9779,plain,
% 131.11/131.78 (P10(x97791,x97792,x97792,x97791)),
% 131.11/131.78 inference(rename_variables,[],[8201])).
% 131.11/131.78 cnf(9781,plain,
% 131.11/131.78 (P1(a1,a1,f14(a17,a17,a17,a17,a1,a1))),
% 131.11/131.78 inference(scs_inference,[],[8982,9006,9059,9269,9480,9632,9743,8318,8507,8862,9131,9259,9421,9457,9527,9529,9539,9603,9611,9623,9629,9636,9651,8851,9605,9639,9439,9431,9462,8710,8141,9309,8937,8617,8262,8637,5031,6767,4964,8712,9740,8521,9033,9716,8219,9702,9708,9464,8264,9713,9719,9724,9727,9732,8221,9694,8201,9766,9776,9779,8169,9517,256,254,167,222,257,152,162,255,168,169,252,253,250,251,159,196,195,155,246,245,188,248,820,244,221,174,197,186,202,189,199,192,198,179,241,239,171,191,201,182,203,234,261,225,260,190,184,237,173,205,204])).
% 131.11/131.78 cnf(9784,plain,
% 131.11/131.78 (P5(x97841,x97841,x97841,x97841)),
% 131.11/131.78 inference(scs_inference,[],[8982,9006,9059,9269,9480,9632,9743,8318,8507,8862,9131,9259,9421,9457,9527,9529,9539,9603,9611,9623,9629,9636,9651,9543,8851,9605,9639,9439,9431,9462,8710,8141,9309,8937,8617,8262,8637,5031,6767,4964,8712,9740,8521,9033,9716,8219,9702,9708,9464,8264,9713,9719,9724,9727,9732,8221,9694,8174,8201,9766,9776,9779,8169,9517,256,254,167,222,257,152,162,255,168,169,252,253,250,251,159,196,195,155,246,245,188,248,820,244,221,174,197,186,202,189,199,192,198,179,241,239,171,191,201,182,203,234,261,225,260,190,184,237,173,205,204,249])).
% 131.11/131.78 cnf(9790,plain,
% 131.11/131.78 (P10(a1,a1,a2,a16)),
% 131.11/131.78 inference(scs_inference,[],[8982,9006,9059,9269,9480,9632,9743,8318,8507,8862,9131,9259,9421,9457,9527,9529,9539,9603,9611,9623,9629,9636,9651,9543,8851,9605,9639,9439,9431,9462,8710,8141,9309,8937,8617,8262,8637,5031,6767,4964,8712,9740,8521,9033,9716,8219,9702,9708,9464,8264,9713,9719,9724,9727,9732,8221,9694,8174,8201,9766,9776,9779,8169,9517,256,254,167,222,257,152,162,255,168,169,252,253,250,251,159,196,195,155,246,245,188,248,820,244,221,174,197,186,202,189,199,192,198,179,241,239,171,191,201,182,203,234,261,225,260,190,184,237,173,205,204,249,270])).
% 131.11/131.78 cnf(9792,plain,
% 131.11/131.78 (P7(f23(a3,a3,a3,a3,a2,a2),a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[8982,9006,9059,9269,9480,9632,9743,8318,8507,8862,9131,9259,9421,9457,9527,9529,9539,9603,9611,9623,9629,9636,9651,9543,8851,9605,9639,9439,9431,9462,8710,8141,9309,8937,8617,8262,8637,5031,6767,4964,8712,9740,8521,9033,9716,8219,9702,9708,9464,8264,9713,9719,9724,9727,9732,8221,9694,8174,8201,9766,9776,9779,8169,9517,256,254,167,222,257,152,162,255,168,169,252,253,250,251,159,196,195,155,246,245,188,248,820,244,221,174,197,186,202,189,199,192,198,179,241,239,171,191,201,182,203,234,261,225,260,190,184,237,173,205,204,249,270,790])).
% 131.11/131.78 cnf(9814,plain,
% 131.11/131.78 (P4(a1,x98141,a1,a1)),
% 131.11/131.78 inference(scs_inference,[],[9754,167])).
% 131.11/131.78 cnf(9816,plain,
% 131.11/131.78 (P8(x98161,a2,x98161,x98161,a2,x98161,x98161,x98161)),
% 131.11/131.78 inference(scs_inference,[],[9710,9754,167,256])).
% 131.11/131.78 cnf(9818,plain,
% 131.11/131.78 (P8(a18,a18,a3,a18,a17,a17,a3,a17)),
% 131.11/131.78 inference(scs_inference,[],[9710,9754,8324,167,256,254])).
% 131.11/131.78 cnf(9820,plain,
% 131.11/131.78 (P8(a2,x98201,a2,x98201,x98201,x98201,x98201,x98201)),
% 131.11/131.78 inference(scs_inference,[],[9710,9754,8324,167,256,254,257])).
% 131.11/131.78 cnf(9822,plain,
% 131.11/131.78 (P8(a18,a18,a17,a17,a3,a18,a3,a17)),
% 131.11/131.78 inference(scs_inference,[],[9115,9710,9754,8324,167,256,254,257,255])).
% 131.11/131.78 cnf(9824,plain,
% 131.11/131.78 (P9(f14(a16,a3,a16,a3,a2,a16),x98241,f14(a16,a3,a16,a3,a2,a16),a3,a3,x98241,a3,a3)),
% 131.11/131.78 inference(scs_inference,[],[9115,9710,9754,8324,9261,167,256,254,257,255,222])).
% 131.11/131.78 cnf(9826,plain,
% 131.11/131.78 (P10(a1,a1,a16,a2)),
% 131.11/131.78 inference(scs_inference,[],[9115,9710,9754,8324,9790,9261,167,256,254,257,255,222,162])).
% 131.11/131.78 cnf(9828,plain,
% 131.11/131.78 (P7(a1,f4(a1,a1,a1),a1)),
% 131.11/131.78 inference(scs_inference,[],[9115,9710,9754,8324,9790,9685,9261,167,256,254,257,255,222,162,152])).
% 131.11/131.78 cnf(9832,plain,
% 131.11/131.78 (P4(a3,a3,a3,a16)),
% 131.11/131.78 inference(scs_inference,[],[9115,9710,9754,8324,9661,9790,9685,9261,167,256,254,257,255,222,162,152,168,169])).
% 131.11/131.78 cnf(9834,plain,
% 131.11/131.78 (P9(a3,a18,a2,a18,a3,a2,a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[9115,9267,9710,9754,8324,9661,9790,9685,9261,167,256,254,257,255,222,162,152,168,169,252])).
% 131.11/131.78 cnf(9836,plain,
% 131.11/131.78 (P9(a18,a2,a2,a2,a3,a18,a2,a3)),
% 131.11/131.78 inference(scs_inference,[],[9551,9115,9267,9710,9754,8324,9661,9790,9685,9261,167,256,254,257,255,222,162,152,168,169,252,253])).
% 131.11/131.78 cnf(9838,plain,
% 131.11/131.78 (P9(a3,a18,a3,a2,a18,a2,a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[9551,9115,9267,9710,9754,8324,9265,9661,9790,9685,9261,167,256,254,257,255,222,162,152,168,169,252,253,250])).
% 131.11/131.78 cnf(9840,plain,
% 131.11/131.78 (P9(a2,a3,a2,a2,a3,a18,a2,a18)),
% 131.11/131.78 inference(scs_inference,[],[9551,9620,9115,9267,9710,9754,8324,9265,9661,9790,9685,9261,167,256,254,257,255,222,162,152,168,169,252,253,250,251])).
% 131.11/131.78 cnf(9843,plain,
% 131.11/131.78 (P7(f23(x98431,x98431,x98431,x98431,a2,a2),x98431,x98431)),
% 131.11/131.78 inference(rename_variables,[],[9748])).
% 131.11/131.78 cnf(9845,plain,
% 131.11/131.78 (P4(a1,a16,a16,a16)),
% 131.11/131.78 inference(scs_inference,[],[9109,9551,9620,9115,9267,9710,9754,8324,9265,9661,9772,9790,9748,9685,9261,167,256,254,257,255,222,162,152,168,169,252,253,250,251,156,183])).
% 131.11/131.78 cnf(9847,plain,
% 131.11/131.78 (P1(x98471,x98471,f21(x98471,x98471,x98471,x98471))),
% 131.11/131.78 inference(scs_inference,[],[9784,9109,9551,9620,9115,9267,9710,9754,8324,9265,9661,9772,9790,9748,9685,9261,8519,167,256,254,257,255,222,162,152,168,169,252,253,250,251,156,183,243])).
% 131.11/131.78 cnf(9848,plain,
% 131.11/131.78 (P9(x98481,x98482,x98482,x98481,x98483,x98484,x98484,x98483)),
% 131.11/131.78 inference(rename_variables,[],[8519])).
% 131.11/131.78 cnf(9854,plain,
% 131.11/131.78 (P1(f21(x98541,x98541,x98541,x98541),x98541,x98541)),
% 131.11/131.78 inference(scs_inference,[],[9784,9109,9551,9620,9115,9267,9710,9754,8324,9265,9661,9734,9772,9790,9748,9781,9685,9261,8519,9848,8801,167,256,254,257,255,222,162,152,168,169,252,253,250,251,156,183,243,153,188,247])).
% 131.11/131.78 cnf(9855,plain,
% 131.11/131.78 (P9(x98551,x98552,x98552,x98551,x98553,x98554,x98554,x98553)),
% 131.11/131.78 inference(rename_variables,[],[8519])).
% 131.11/131.78 cnf(9859,plain,
% 131.11/131.78 (P1(f23(a3,a3,a3,a3,a2,a2),a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[9784,9109,9551,9620,9115,9267,9710,9754,8324,9265,9661,9734,9772,9790,9748,9843,9781,9685,9261,8519,9848,8201,8801,167,256,254,257,255,222,162,152,168,169,252,253,250,251,156,183,243,153,188,247,187,820])).
% 131.11/131.78 cnf(9860,plain,
% 131.11/131.78 (P10(x98601,x98602,x98602,x98601)),
% 131.11/131.78 inference(rename_variables,[],[8201])).
% 131.11/131.78 cnf(9861,plain,
% 131.11/131.78 (P7(f23(x98611,x98611,x98611,x98611,a2,a2),x98611,x98611)),
% 131.11/131.78 inference(rename_variables,[],[9748])).
% 131.11/131.78 cnf(9863,plain,
% 131.11/131.78 (P10(f23(a1,a1,a1,a1,a1,a1),a1,a1,a1)),
% 131.11/131.78 inference(scs_inference,[],[9784,9109,9551,9620,9115,9267,9710,9754,8324,9265,9661,9734,9772,9790,9748,9843,9781,9685,9261,8519,9848,8201,8801,167,256,254,257,255,222,162,152,168,169,252,253,250,251,156,183,243,153,188,247,187,820,202])).
% 131.11/131.78 cnf(9867,plain,
% 131.11/131.78 (P1(a3,a18,f4(a3,a18,a18))),
% 131.11/131.78 inference(scs_inference,[],[9784,9109,9551,9620,9115,9267,9710,9754,8324,9265,9661,9734,9772,9790,9748,9843,9781,9685,9261,8519,9848,9304,8201,8801,9517,167,256,254,257,255,222,162,152,168,169,252,253,250,251,156,183,243,153,188,247,187,820,202,221,174])).
% 131.11/131.78 cnf(9869,plain,
% 131.11/131.78 (P5(a18,a3,a18,f4(a3,a18,a18))),
% 131.11/131.78 inference(scs_inference,[],[9784,9109,9551,9620,9115,9267,9710,9754,8324,9265,9661,9734,9772,9790,9748,9843,9781,9685,9261,8519,9848,9304,8201,8801,9517,167,256,254,257,255,222,162,152,168,169,252,253,250,251,156,183,243,153,188,247,187,820,202,221,174,186])).
% 131.11/131.78 cnf(9871,plain,
% 131.11/131.78 (P1(f5(a2,a3,a2),a2,a3)),
% 131.11/131.78 inference(scs_inference,[],[9784,9109,9551,9620,9115,9267,9710,9754,8324,9265,9661,9734,9772,9790,9748,9843,9781,9685,9261,8519,9848,9304,8201,8801,9517,167,256,254,257,255,222,162,152,168,169,252,253,250,251,156,183,243,153,188,247,187,820,202,221,174,186,175])).
% 131.11/131.78 cnf(9874,plain,
% 131.11/131.78 (P5(x98741,x98741,x98741,x98741)),
% 131.11/131.78 inference(rename_variables,[],[9784])).
% 131.11/131.78 cnf(9876,plain,
% 131.11/131.78 (P1(f6(a3,a2,a2),a2,a3)),
% 131.11/131.78 inference(scs_inference,[],[9784,9109,9551,9620,9115,9267,9710,9754,8324,9265,9661,9734,9739,9772,9790,9748,9843,9781,9685,9261,8519,9848,9304,8201,8801,9517,167,256,254,257,255,222,162,152,168,169,252,253,250,251,156,183,243,153,188,247,187,820,202,221,174,186,175,197,176])).
% 131.11/131.78 cnf(9878,plain,
% 131.11/131.78 (P10(f14(a16,a3,a16,a3,a2,a16),f4(a3,a3,a3),f14(a16,a3,a16,a3,a2,a16),a3)),
% 131.11/131.78 inference(scs_inference,[],[9784,9109,9551,9620,9115,9267,9710,9754,8324,9265,9661,9734,9739,9772,9790,9748,9843,9781,9685,9336,9261,8519,9848,9304,8201,8801,9517,167,256,254,257,255,222,162,152,168,169,252,253,250,251,156,183,243,153,188,247,187,820,202,221,174,186,175,197,176,238])).
% 131.11/131.78 cnf(9880,plain,
% 131.11/131.78 (P2(f9(a1,a3,a1),a1,a3,a1)),
% 131.11/131.78 inference(scs_inference,[],[9784,9109,9551,9620,9115,9267,9710,9754,8324,9265,9661,9734,9739,9772,9790,9748,9843,9781,9685,9336,9261,8519,9848,9304,8201,8801,9517,167,256,254,257,255,222,162,152,168,169,252,253,250,251,156,183,243,153,188,247,187,820,202,221,174,186,175,197,176,238,189])).
% 131.11/131.78 cnf(9883,plain,
% 131.11/131.78 (P5(x98831,x98831,x98831,x98831)),
% 131.11/131.78 inference(rename_variables,[],[9784])).
% 131.11/131.78 cnf(9886,plain,
% 131.11/131.78 (P5(x98861,x98861,x98861,x98861)),
% 131.11/131.78 inference(rename_variables,[],[9784])).
% 131.11/131.78 cnf(9890,plain,
% 131.11/131.78 (P5(a2,a3,a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[9784,9874,9883,9109,9551,9620,9115,9267,9710,9754,8324,9265,9661,9734,9739,9772,9790,9748,9843,9742,9781,9685,9336,9261,8519,9848,9304,8461,8201,8801,9517,167,256,254,257,255,222,162,152,168,169,252,253,250,251,156,183,243,153,188,247,187,820,202,221,174,186,175,197,176,238,189,199,198,179,171])).
% 131.11/131.78 cnf(9892,plain,
% 131.11/131.78 (P3(a3,a18,a18,a2)),
% 131.11/131.78 inference(scs_inference,[],[9784,9874,9883,9109,9551,9620,8884,9115,9267,9710,9754,8324,9265,9661,9734,9739,9772,9790,9748,9843,9742,9781,9685,9336,9261,9603,8519,9848,9304,8461,8201,8801,9517,167,256,254,257,255,222,162,152,168,169,252,253,250,251,156,183,243,153,188,247,187,820,202,221,174,186,175,197,176,238,189,199,198,179,171,239])).
% 131.11/131.78 cnf(9894,plain,
% 131.11/131.78 (P7(f23(a1,a1,a1,a1,a1,a1),a1,a1)),
% 131.11/131.78 inference(scs_inference,[],[9784,9874,9883,9109,9551,9620,8884,9115,9267,9710,9754,8324,9265,9661,9734,9739,9772,9790,9748,9843,9742,9781,9685,9336,9261,9603,8519,9848,9304,8461,8201,8801,9517,167,256,254,257,255,222,162,152,168,169,252,253,250,251,156,183,243,153,188,247,187,820,202,221,174,186,175,197,176,238,189,199,198,179,171,239,201])).
% 131.11/131.78 cnf(9896,plain,
% 131.11/131.78 (P10(f23(a18,a18,a18,a18,a18,a18),a18,a18,a18)),
% 131.11/131.78 inference(scs_inference,[],[9784,9874,9883,9109,9551,9620,8884,9115,9267,9710,9754,8324,9265,9661,9734,9739,9772,9790,9748,9843,9742,9781,9685,9336,9629,9261,9603,8519,9848,9304,8461,8201,8801,9517,167,256,254,257,255,222,162,152,168,169,252,253,250,251,156,183,243,153,188,247,187,820,202,221,174,186,175,197,176,238,189,199,198,179,171,239,201,203])).
% 131.11/131.78 cnf(9898,plain,
% 131.11/131.78 (P2(x98981,x98981,x98981,x98981)),
% 131.11/131.78 inference(scs_inference,[],[9784,9874,9883,9886,9109,9551,9620,8884,9115,9267,9710,9754,8324,9265,9661,9734,9739,9772,9790,9748,9843,9742,9781,9685,9336,9629,9261,9603,8519,9848,9304,8461,8201,8801,9517,167,256,254,257,255,222,162,152,168,169,252,253,250,251,156,183,243,153,188,247,187,820,202,221,174,186,175,197,176,238,189,199,198,179,171,239,201,203,182])).
% 131.11/131.78 cnf(9900,plain,
% 131.11/131.78 (P4(a2,a2,f13(a1,a18,a18,a2,a2),a2)),
% 131.11/131.78 inference(scs_inference,[],[9784,9874,9883,9886,9109,9551,9620,8884,9115,9267,9710,9754,8324,9265,9661,9734,9739,9772,9790,9748,9843,9742,9781,9689,9685,9336,9629,9261,9603,8519,9848,9304,8461,8334,8201,8801,9517,167,256,254,257,255,222,162,152,168,169,252,253,250,251,156,183,243,153,188,247,187,820,202,221,174,186,175,197,176,238,189,199,198,179,171,239,201,203,182,234])).
% 131.11/131.78 cnf(9904,plain,
% 131.11/131.78 (P7(f23(x99041,x99041,x99041,x99041,a2,a2),x99041,x99041)),
% 131.11/131.78 inference(rename_variables,[],[9748])).
% 131.11/131.78 cnf(9906,plain,
% 131.11/131.78 (P9(a18,a3,a3,a2,a18,a2,a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[9784,9874,9883,9886,9109,9551,9620,8884,9115,9267,9710,9754,8324,9265,9416,9661,9734,9739,9750,9772,9790,9748,9843,9861,9742,9781,9689,9685,9336,9629,9261,9603,8519,9848,8712,9304,8461,8334,8201,8801,9517,167,256,254,257,255,222,162,152,168,169,252,253,250,251,156,183,243,153,188,247,187,820,202,221,174,186,175,197,176,238,189,199,198,179,171,239,201,203,182,234,225,260])).
% 131.11/131.78 cnf(9909,plain,
% 131.11/131.78 (P7(f7(a3,a2,a2),a3,a2)),
% 131.11/131.78 inference(scs_inference,[],[9784,9874,9883,9886,9109,9551,9620,8884,9115,9267,9710,9754,8324,9265,9416,9661,9734,9739,9750,9772,9790,9748,9843,9861,9904,9742,9781,9689,9685,9336,9629,9261,9603,8519,9848,8712,9304,8461,8264,8334,8201,8801,9517,167,256,254,257,255,222,162,152,168,169,252,253,250,251,156,183,243,153,188,247,187,820,202,221,174,186,175,197,176,238,189,199,198,179,171,239,201,203,182,234,225,260,184])).
% 131.11/131.78 cnf(9913,plain,
% 131.11/131.78 (P7(f7(a3,a17,a17),a17,a3)),
% 131.11/131.78 inference(scs_inference,[],[9784,9874,9883,9886,9109,9551,9620,8884,9115,9267,9710,9754,8324,9265,9416,9661,9691,9734,9739,9750,9772,9790,9748,9843,9861,9904,9742,9781,9689,9685,9336,9629,9261,9065,9603,8519,9848,8712,9304,8461,8264,8334,8201,9860,8801,9517,167,256,254,257,255,222,162,152,168,169,252,253,250,251,156,183,243,153,188,247,187,820,202,221,174,186,175,197,176,238,189,199,198,179,171,239,201,203,182,234,225,260,184,173])).
% 131.11/131.78 cnf(9914,plain,
% 131.11/131.78 (P10(x99141,x99142,x99142,x99141)),
% 131.11/131.78 inference(rename_variables,[],[8201])).
% 131.11/131.78 cnf(9918,plain,
% 131.11/131.78 (P10(x99181,x99182,x99182,x99181)),
% 131.11/131.78 inference(rename_variables,[],[8201])).
% 131.11/131.78 cnf(9921,plain,
% 131.11/131.78 (P10(x99211,x99212,x99212,x99211)),
% 131.11/131.78 inference(rename_variables,[],[8201])).
% 131.11/131.78 cnf(9929,plain,
% 131.11/131.78 (P8(a3,a2,a3,a3,a2,a1,a1,a1)),
% 131.11/131.78 inference(scs_inference,[],[9784,9874,9883,9886,9109,9551,9620,8884,9115,9267,9710,9754,8324,9265,9416,9661,9675,9691,9734,9739,9750,9772,9790,9748,9843,9861,9904,9742,9781,9689,9685,9336,9629,9261,9065,4317,9603,8519,9848,9855,8712,9304,8461,4964,8264,8334,8201,9860,9914,9918,9921,8801,9517,167,256,254,257,255,222,162,152,168,169,252,253,250,251,156,183,243,153,188,247,187,820,202,221,174,186,175,197,176,238,189,199,198,179,171,239,201,203,182,234,225,260,184,173,207,205,204,249,5727])).
% 131.11/131.78 cnf(9931,plain,
% 131.11/131.78 (P8(a3,a2,a3,a3,a2,a17,a17,a17)),
% 131.11/131.78 inference(scs_inference,[],[9784,9874,9883,9886,9109,9551,9620,8884,9115,9267,9710,9754,8324,9265,9416,9661,9675,9691,9734,9739,9750,9772,9790,9748,9843,9861,9904,9742,9781,9689,9685,9336,9629,9261,9065,4317,9603,8519,9848,9855,8712,9304,8461,4964,8264,8334,8201,9860,9914,9918,9921,8801,9517,167,256,254,257,255,222,162,152,168,169,252,253,250,251,156,183,243,153,188,247,187,820,202,221,174,186,175,197,176,238,189,199,198,179,171,239,201,203,182,234,225,260,184,173,207,205,204,249,5727,6240])).
% 131.11/131.78 cnf(9936,plain,
% 131.11/131.78 (P3(f8(x99361,x99361,x99361,x99361),x99361,x99361,x99361)),
% 131.11/131.78 inference(scs_inference,[],[9784,9874,9883,9886,9109,9551,9620,8884,9115,9267,9710,9754,8324,9265,9416,9661,9675,9691,9734,9739,9750,9772,9790,9748,9843,9861,9904,9742,9781,9689,9685,9336,9629,9261,9065,4317,9603,8519,9848,9855,8712,8521,9304,8461,4964,8264,8334,8201,9860,9914,9918,9921,8801,9517,167,256,254,257,255,222,162,152,168,169,252,253,250,251,156,183,243,153,188,247,187,820,202,221,174,186,175,197,176,238,189,199,198,179,171,239,201,203,182,234,225,260,184,173,207,205,204,249,5727,6240,7962,185])).
% 131.11/131.78 cnf(9944,plain,
% 131.11/131.78 (P1(f26(a1,a16,a1,a2,a16,a2),a2,a16)),
% 131.11/131.78 inference(scs_inference,[],[142,9784,9874,9883,9886,9109,9551,9620,8884,9115,9267,9710,9754,8324,9265,9416,9661,9675,9691,9734,9739,9750,9772,9790,9748,9843,9861,9904,9742,9781,9689,9685,9336,9629,9261,9107,9065,4317,388,9603,8519,9848,9855,8712,8521,9304,8461,4964,8264,8334,8201,9860,9914,9918,9921,8801,9517,167,256,254,257,255,222,162,152,168,169,252,253,250,251,156,183,243,153,188,247,187,820,202,221,174,186,175,197,176,238,189,199,198,179,171,239,201,203,182,234,225,260,184,173,207,205,204,249,5727,6240,7962,185,232,192,191,206])).
% 131.11/131.78 cnf(9948,plain,
% 131.11/131.78 (P8(a18,a2,a18,a18,a2,a1,a1,a1)),
% 131.11/131.78 inference(scs_inference,[],[9816,6966])).
% 131.11/131.78 cnf(9949,plain,
% 131.11/131.78 (P8(x99491,a2,x99491,x99491,a2,x99491,x99491,x99491)),
% 131.11/131.78 inference(rename_variables,[],[9816])).
% 131.11/131.78 cnf(9951,plain,
% 131.11/131.78 (P8(a17,a2,a17,a17,a2,a1,a1,a1)),
% 131.11/131.78 inference(scs_inference,[],[9816,9949,6966,5090])).
% 131.11/131.78 cnf(9954,plain,
% 131.11/131.78 (P8(a2,a17,a2,a17,a17,a1,a1,a1)),
% 131.11/131.78 inference(scs_inference,[],[9816,9949,9820,6966,5090,4796])).
% 131.11/131.78 cnf(9955,plain,
% 131.11/131.78 (P8(a2,x99551,a2,x99551,x99551,x99551,x99551,x99551)),
% 131.11/131.78 inference(rename_variables,[],[9820])).
% 131.11/131.78 cnf(9957,plain,
% 131.11/131.78 (P4(a16,a1,a16,a16)),
% 131.11/131.78 inference(scs_inference,[],[9816,9949,9820,9845,6966,5090,4796,167])).
% 131.11/131.78 cnf(9959,plain,
% 131.11/131.78 (P8(x99591,a2,a2,x99591,x99591,x99591,x99591,x99591)),
% 131.11/131.78 inference(scs_inference,[],[9816,9949,9820,9955,9845,6966,5090,4796,167,256])).
% 131.11/131.78 cnf(9961,plain,
% 131.11/131.78 (P8(a3,a3,a3,a2,a1,a1,a2,a1)),
% 131.11/131.78 inference(scs_inference,[],[9929,9816,9949,9820,9955,9845,6966,5090,4796,167,256,255])).
% 131.11/131.78 cnf(9963,plain,
% 131.11/131.78 (P8(a2,a1,a1,a1,a3,a2,a3,a3)),
% 131.11/131.78 inference(scs_inference,[],[9929,9816,9949,9820,9955,9845,6966,5090,4796,167,256,255,254])).
% 131.11/131.78 cnf(9967,plain,
% 131.11/131.78 (P8(a3,a2,a2,a1,a3,a3,a1,a1)),
% 131.11/131.78 inference(scs_inference,[],[9929,9816,9949,9820,9955,9845,8854,6966,5090,4796,167,256,255,254,162,257])).
% 131.11/131.78 cnf(9969,plain,
% 131.11/131.78 (P7(f7(a3,a2,a2),a2,a3)),
% 131.11/131.78 inference(scs_inference,[],[9929,9816,9949,9820,9955,9845,8854,9909,6966,5090,4796,167,256,255,254,162,257,152])).
% 131.11/131.78 cnf(9971,plain,
% 131.11/131.78 (P4(a1,a1,x99711,a1)),
% 131.11/131.78 inference(scs_inference,[],[9929,9816,9949,9820,9955,9814,9845,8854,9909,6966,5090,4796,167,256,255,254,162,257,152,168])).
% 131.11/131.78 cnf(9975,plain,
% 131.11/131.78 (P9(a2,a1,a1,a16,a16,a2,a16,a16)),
% 131.11/131.78 inference(scs_inference,[],[9404,9929,9816,9949,9820,9955,9814,9845,8854,9900,9909,6966,5090,4796,167,256,255,254,162,257,152,168,169,252])).
% 131.11/131.78 cnf(9977,plain,
% 131.11/131.78 (P9(a1,a2,a16,a2,a1,a16,a16,a16)),
% 131.11/131.78 inference(scs_inference,[],[9404,9929,9816,9949,9820,9955,9814,9845,8854,9900,9909,6966,5090,4796,167,256,255,254,162,257,152,168,169,252,253])).
% 131.11/131.78 cnf(9979,plain,
% 131.11/131.78 (P9(a18,a2,a3,a18,a2,a2,a3,a2)),
% 131.11/131.78 inference(scs_inference,[],[9404,9929,9816,9949,9820,9955,9814,9271,9845,8854,9900,9909,6966,5090,4796,167,256,255,254,162,257,152,168,169,252,253,250])).
% 131.11/131.78 cnf(9981,plain,
% 131.11/131.78 (P9(a18,a3,a2,a18,a2,a3,a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[9404,9929,9000,9816,9949,9820,9955,9814,9271,9845,8854,9900,9909,6966,5090,4796,167,256,255,254,162,257,152,168,169,252,253,250,251])).
% 131.11/131.78 cnf(9987,plain,
% 131.11/131.78 (P10(f23(a17,a17,a17,a17,a17,a17),a17,a17,a17)),
% 131.11/131.78 inference(scs_inference,[],[9404,9929,9000,9816,9949,9820,9955,9814,9271,9845,8854,9900,9909,9351,9734,8801,6966,5090,4796,167,256,255,254,162,257,152,168,169,252,253,250,251,188,187,202])).
% 131.11/131.78 cnf(9990,plain,
% 131.11/131.78 (P10(x99901,x99902,x99901,x99902)),
% 131.11/131.78 inference(rename_variables,[],[8169])).
% 131.11/131.78 cnf(9992,plain,
% 131.11/131.78 (P1(x99921,x99921,f4(x99921,x99921,x99921))),
% 131.11/131.78 inference(scs_inference,[],[9404,9929,9000,9816,9949,9820,9955,9814,9271,9845,8854,9894,9900,9909,9351,9784,9734,8264,8169,8801,6966,5090,4796,167,256,255,254,162,257,152,168,169,252,253,250,251,188,187,202,820,174])).
% 131.11/131.78 cnf(9993,plain,
% 131.11/131.78 (P3(x99931,x99932,x99931,x99932)),
% 131.11/131.78 inference(rename_variables,[],[8264])).
% 131.11/131.78 cnf(9995,plain,
% 131.11/131.78 (P1(f5(a3,a2,a2),a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[9404,9929,9000,9816,9949,9820,9955,9814,9271,9845,8854,9894,9900,9909,9351,9784,9734,8264,8169,8801,6966,5090,4796,167,256,255,254,162,257,152,168,169,252,253,250,251,188,187,202,820,174,175])).
% 131.11/131.78 cnf(9999,plain,
% 131.11/131.78 (P5(x99991,x99991,x99991,f4(x99991,x99991,x99991))),
% 131.11/131.78 inference(scs_inference,[],[9404,9929,9000,9816,9949,9820,9955,9814,9271,9845,9890,9892,8854,9894,9900,9909,9351,9784,9734,8264,9993,8169,8801,6966,5090,4796,167,256,255,254,162,257,152,168,169,252,253,250,251,188,187,202,820,174,175,197,186])).
% 131.11/131.78 cnf(10000,plain,
% 131.11/131.78 (P3(x100001,x100002,x100001,x100002)),
% 131.11/131.78 inference(rename_variables,[],[8264])).
% 131.11/131.78 cnf(10004,plain,
% 131.11/131.78 (P10(f6(a1,a1,a17),a1,a3,a2)),
% 131.11/131.78 inference(scs_inference,[],[9404,9929,9000,9816,9949,9820,9955,9814,9271,9845,9890,9892,8854,9913,9894,9900,9909,9351,9784,8330,9734,8264,9993,8169,8801,6966,5090,4796,167,256,255,254,162,257,152,168,169,252,253,250,251,188,187,202,820,174,175,197,186,221,238])).
% 131.11/131.78 cnf(10005,plain,
% 131.11/131.78 (P9(x100051,x100052,x100053,x100054,x100052,x100051,x100053,x100054)),
% 131.11/131.78 inference(rename_variables,[],[8330])).
% 131.11/131.78 cnf(10007,plain,
% 131.11/131.78 (P10(f25(a3,a18,a3,a2,a2),a3,a3,a18)),
% 131.11/131.78 inference(scs_inference,[],[9404,9929,9000,9816,9949,9820,9955,9814,9271,9845,9890,9892,8854,9913,9894,9900,9909,9351,9784,8330,9734,8264,9993,8169,8801,6966,5090,4796,167,256,255,254,162,257,152,168,169,252,253,250,251,188,187,202,820,174,175,197,186,221,238,199])).
% 131.11/131.78 cnf(10012,plain,
% 131.11/131.78 (P3(x100121,x100122,x100122,x100121)),
% 131.11/131.78 inference(rename_variables,[],[8396])).
% 131.11/131.78 cnf(10014,plain,
% 131.11/131.78 (P5(a2,x100141,a2,x100141)),
% 131.11/131.78 inference(scs_inference,[],[9404,9929,9000,9673,9816,9949,9820,9955,9814,9271,9845,9890,9892,8854,9913,9894,9900,9909,9351,9784,8330,9734,8396,8264,9993,8169,8801,6966,5090,4796,167,256,255,254,162,257,152,168,169,252,253,250,251,188,187,202,820,174,175,197,186,221,238,199,176,189,241])).
% 131.11/131.78 cnf(10018,plain,
% 131.11/131.78 (P5(x100181,x100181,x100181,x100181)),
% 131.11/131.78 inference(rename_variables,[],[9784])).
% 131.11/131.78 cnf(10021,plain,
% 131.11/131.78 (P5(x100211,x100211,x100211,x100211)),
% 131.11/131.78 inference(rename_variables,[],[9784])).
% 131.11/131.78 cnf(10028,plain,
% 131.11/131.78 (P3(x100281,f8(x100281,x100281,x100281,x100281),x100281,x100281)),
% 131.11/131.78 inference(scs_inference,[],[9404,9929,9000,9673,9816,9949,9820,9955,9814,9271,9845,9890,9892,9936,8854,9913,9894,9900,9909,9742,9351,8634,9784,10018,10021,8330,10005,9734,8396,8264,9993,8169,8801,6966,5090,4796,167,256,255,254,162,257,152,168,169,252,253,250,251,188,187,202,820,174,175,197,186,221,238,199,176,189,241,192,179,198,191,239])).
% 131.11/131.78 cnf(10030,plain,
% 131.11/131.78 (P9(x100301,x100302,x100303,x100304,x100302,x100301,x100303,x100304)),
% 131.11/131.78 inference(rename_variables,[],[8330])).
% 131.11/131.78 cnf(10037,plain,
% 131.11/131.78 (P7(f23(a17,a17,a17,a17,a17,a17),a17,a17)),
% 131.11/131.78 inference(scs_inference,[],[9404,9929,9000,9673,9816,9949,9820,9955,9814,9271,9845,9890,9892,9936,8854,9913,9894,9900,9909,9742,9685,9351,9363,8634,9784,10018,10021,8330,10005,9734,8396,10012,8264,9993,8169,8801,6966,5090,4796,167,256,255,254,162,257,152,168,169,252,253,250,251,188,187,202,820,174,175,197,186,221,238,199,176,189,241,192,179,198,191,239,171,203,201])).
% 131.11/131.78 cnf(10039,plain,
% 131.11/131.78 (P2(a2,a3,a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[9404,9929,9000,9673,9816,9949,9820,9955,9814,9271,9845,9890,9892,9936,8854,9913,9894,9900,9909,9742,9685,9351,9363,8634,9784,10018,10021,8330,10005,9734,8396,10012,8264,9993,8169,8801,6966,5090,4796,167,256,255,254,162,257,152,168,169,252,253,250,251,188,187,202,820,174,175,197,186,221,238,199,176,189,241,192,179,198,191,239,171,203,201,182])).
% 131.11/131.78 cnf(10041,plain,
% 131.11/131.78 (P4(a16,a16,a16,a16)),
% 131.11/131.78 inference(scs_inference,[],[9404,9929,9000,9673,9816,9949,9820,9955,9814,9271,9845,9890,9892,9936,8854,9913,9894,9900,9909,9742,9685,9351,9363,8634,9784,10018,10021,4315,8519,8330,10005,9734,8396,10012,8264,9993,8169,8801,6966,5090,4796,167,256,255,254,162,257,152,168,169,252,253,250,251,188,187,202,820,174,175,197,186,221,238,199,176,189,241,192,179,198,191,239,171,203,201,182,234])).
% 131.11/131.78 cnf(10042,plain,
% 131.11/131.78 (P9(x100421,x100422,x100422,x100421,x100423,x100424,x100424,x100423)),
% 131.11/131.78 inference(rename_variables,[],[8519])).
% 131.11/131.78 cnf(10044,plain,
% 131.11/131.78 (P9(a1,a1,a1,a1,a1,a1,a1,f23(a1,a1,a1,a1,a1,a1))),
% 131.11/131.78 inference(scs_inference,[],[9898,9404,9929,9000,9673,9816,9949,9820,9955,9814,9271,9845,9890,9892,9936,8854,9913,9894,9900,9909,9742,9685,9351,9363,8634,9784,10018,10021,4315,8519,8330,10005,9734,8396,10012,8264,9993,8169,8801,6966,5090,4796,167,256,255,254,162,257,152,168,169,252,253,250,251,188,187,202,820,174,175,197,186,221,238,199,176,189,241,192,179,198,191,239,171,203,201,182,234,225])).
% 131.11/131.78 cnf(10045,plain,
% 131.11/131.78 (P2(x100451,x100451,x100451,x100451)),
% 131.11/131.78 inference(rename_variables,[],[9898])).
% 131.11/131.78 cnf(10047,plain,
% 131.11/131.78 (P9(a16,a16,a16,a1,a2,a16,a1,a2)),
% 131.11/131.78 inference(scs_inference,[],[9898,9404,9929,9000,9673,9816,9949,9820,9955,9814,9271,9762,9845,9890,9892,9936,8854,9913,9894,9900,9909,9742,9685,9351,9363,8634,9784,10018,10021,4315,8519,8330,10005,10030,9734,8396,10012,8264,9993,8169,8801,6966,5090,4796,167,256,255,254,162,257,152,168,169,252,253,250,251,188,187,202,820,174,175,197,186,221,238,199,176,189,241,192,179,198,191,239,171,203,201,182,234,225,260])).
% 131.11/131.78 cnf(10048,plain,
% 131.11/131.78 (P9(x100481,x100482,x100483,x100484,x100482,x100481,x100483,x100484)),
% 131.11/131.78 inference(rename_variables,[],[8330])).
% 131.11/131.78 cnf(10050,plain,
% 131.11/131.78 (P2(f10(a1,a1,a1),a1,a1,a1)),
% 131.11/131.78 inference(scs_inference,[],[9898,9404,9929,9000,9673,9816,9949,9820,9955,9814,9271,9762,9845,9890,9892,9936,8854,9913,9894,9900,9909,9742,9685,9351,9363,8634,9784,10018,10021,4315,8519,8330,10005,10030,9734,8396,10012,8264,9993,8169,9990,8801,6966,5090,4796,167,256,255,254,162,257,152,168,169,252,253,250,251,188,187,202,820,174,175,197,186,221,238,199,176,189,241,192,179,198,191,239,171,203,201,182,234,225,260,190])).
% 131.11/131.78 cnf(10052,plain,
% 131.11/131.78 (P10(x100521,x100522,x100521,x100522)),
% 131.11/131.78 inference(rename_variables,[],[8169])).
% 131.11/131.78 cnf(10054,plain,
% 131.11/131.78 (P7(f7(a1,a1,a3),a1,a3)),
% 131.11/131.78 inference(scs_inference,[],[9898,9404,9929,9000,9673,9816,9949,9820,9955,9814,9271,9762,9845,9890,9892,9936,8854,9913,9894,9900,9909,9742,9685,9351,9363,8634,9784,10018,10021,9739,4315,8519,8330,10005,10030,9734,8396,10012,8264,9993,10000,8169,9990,8801,6966,5090,4796,167,256,255,254,162,257,152,168,169,252,253,250,251,188,187,202,820,174,175,197,186,221,238,199,176,189,241,192,179,198,191,239,171,203,201,182,234,225,260,190,184])).
% 131.11/131.78 cnf(10057,plain,
% 131.11/131.78 (P7(f23(a1,a1,a1,a1,a1,a1),x100571,x100571)),
% 131.11/131.78 inference(scs_inference,[],[9898,9404,9929,9000,9673,9816,9949,9820,9955,9814,9271,9762,9845,9890,9892,9936,8854,9913,9894,9900,9909,9742,9685,9351,9363,8634,9784,10018,10021,9739,4315,8519,8330,10005,10030,9734,8396,10012,8264,9993,10000,8169,9990,10052,8801,6966,5090,4796,167,256,255,254,162,257,152,168,169,252,253,250,251,188,187,202,820,174,175,197,186,221,238,199,176,189,241,192,179,198,191,239,171,203,201,182,234,225,260,190,184,173])).
% 131.11/131.78 cnf(10064,plain,
% 131.11/131.78 (P10(x100641,x100642,x100642,x100641)),
% 131.11/131.78 inference(rename_variables,[],[8201])).
% 131.11/131.78 cnf(10069,plain,
% 131.11/131.78 (P7(f19(x100691,x100692),x100691,x100692)),
% 131.11/131.78 inference(scs_inference,[],[142,9898,9404,9929,9000,9673,9816,9949,9820,9955,9814,9271,9762,9826,9845,9890,9892,9936,9854,8854,9913,9894,9900,9909,9748,9742,9685,9351,9363,9209,9107,8634,6745,6714,9784,10018,10021,9739,4315,8519,8330,10005,10030,9734,8396,10012,8264,9993,10000,8169,9990,10052,8201,10064,8801,6966,5090,4796,167,256,255,254,162,257,152,168,169,252,253,250,251,188,187,202,820,174,175,197,186,221,238,199,176,189,241,192,179,198,191,239,171,203,201,182,234,225,260,190,184,173,207,205,204,157])).
% 131.11/131.78 cnf(10074,plain,
% 131.11/131.78 (P9(x100741,x100742,x100742,x100741,x100743,x100744,x100744,x100743)),
% 131.11/131.78 inference(rename_variables,[],[8519])).
% 131.11/131.78 cnf(10076,plain,
% 131.11/131.78 (P3(f8(a3,a2,a2,a2),a3,a3,a2)),
% 131.11/131.78 inference(scs_inference,[],[142,9898,9404,9929,9000,9673,9816,9949,9820,9955,9814,9271,9762,9826,9845,9890,9892,9936,9854,8854,9913,9894,9900,9909,9748,9742,9685,9351,9363,9209,9107,8634,6745,6714,9784,10018,10021,9739,4315,8519,10042,8330,10005,10030,9734,8396,10012,8264,9993,10000,8169,9990,10052,8201,10064,8801,6966,5090,4796,167,256,255,254,162,257,152,168,169,252,253,250,251,188,187,202,820,174,175,197,186,221,238,199,176,189,241,192,179,198,191,239,171,203,201,182,234,225,260,190,184,173,207,205,204,157,249,185])).
% 131.11/131.78 cnf(10080,plain,
% 131.11/131.78 (P4(a3,a3,a16,a16)),
% 131.11/131.78 inference(scs_inference,[],[142,9898,9404,9929,9000,9673,9816,9949,9820,9955,9814,9271,9762,9826,9832,9845,9890,9892,9936,9854,8854,8451,9913,9894,9900,9909,9748,9742,9685,9351,9363,9209,9107,8634,6745,6714,9784,10018,10021,9739,4315,8519,10042,8330,10005,10030,9734,8396,10012,8264,9993,10000,8169,9990,10052,8201,10064,8801,6966,5090,4796,167,256,255,254,162,257,152,168,169,252,253,250,251,188,187,202,820,174,175,197,186,221,238,199,176,189,241,192,179,198,191,239,171,203,201,182,234,225,260,190,184,173,207,205,204,157,249,185,232,183])).
% 131.11/131.78 cnf(10083,plain,
% 131.11/131.78 (P9(x100831,x100832,x100833,x100834,x100832,x100831,x100833,x100834)),
% 131.11/131.78 inference(rename_variables,[],[8330])).
% 131.11/131.78 cnf(10088,plain,
% 131.11/131.78 (P7(a16,a16,a16)),
% 131.11/131.78 inference(scs_inference,[],[142,9898,10045,9404,9929,9000,9673,9816,9949,9820,9955,9814,9271,9762,9826,9832,9845,9890,9892,9936,9854,8854,8451,9913,9894,9900,9909,9748,9742,9685,9351,9363,9209,9107,8634,6745,6714,9784,10018,10021,9739,4315,8519,10042,10074,8330,10005,10030,10048,10083,9734,8396,10012,8264,9993,10000,8169,9990,10052,8201,10064,8801,6966,5090,4796,167,256,255,254,162,257,152,168,169,252,253,250,251,188,187,202,820,174,175,197,186,221,238,199,176,189,241,192,179,198,191,239,171,203,201,182,234,225,260,190,184,173,207,205,204,157,249,185,232,183,243,247,237])).
% 131.11/131.78 cnf(10095,plain,
% 131.11/131.78 (P5(a3,f7(a3,a2,a2),a18,f7(a3,a2,a2))),
% 131.11/131.78 inference(scs_inference,[],[142,9898,10045,9404,9929,9000,9673,9816,9949,9820,9955,9814,9271,9762,9826,9832,9845,9890,9892,9936,9854,8854,8451,9913,9894,9900,9909,9748,9742,9685,9351,9363,9209,9107,8634,6745,6714,9784,10018,10021,9739,4315,8519,10042,10074,8330,10005,10030,10048,10083,8712,9734,8396,10012,8264,9993,10000,8169,9990,10052,8201,10064,8801,6966,5090,4796,167,256,255,254,162,257,152,168,169,252,253,250,251,188,187,202,820,174,175,197,186,221,238,199,176,189,241,192,179,198,191,239,171,203,201,182,234,225,260,190,184,173,207,205,204,157,249,185,232,183,243,247,237,7723,172])).
% 131.11/131.78 cnf(10100,plain,
% 131.11/131.78 (P8(a17,a2,a2,a17,a17,a1,a1,a1)),
% 131.11/131.78 inference(scs_inference,[],[9959,4796])).
% 131.11/131.78 cnf(10103,plain,
% 131.11/131.78 (P8(a1,a17,a1,a1,a3,a17,a3,a17)),
% 131.11/131.78 inference(scs_inference,[],[9959,8866,4796,256])).
% 131.11/131.78 cnf(10105,plain,
% 131.11/131.78 (P8(a2,a17,a17,a17,a3,a2,a3,a3)),
% 131.11/131.78 inference(scs_inference,[],[9931,9959,8866,4796,256,254])).
% 131.11/131.78 cnf(10107,plain,
% 131.11/131.78 (P8(a3,a2,a2,a17,a3,a3,a17,a17)),
% 131.11/131.78 inference(scs_inference,[],[9931,9959,8866,4796,256,254,257])).
% 131.11/131.78 cnf(10111,plain,
% 131.11/131.78 (P8(a3,a3,a3,a2,a17,a17,a2,a17)),
% 131.11/131.78 inference(scs_inference,[],[9931,9959,8866,8408,4796,256,254,257,167,255])).
% 131.11/131.78 cnf(10113,plain,
% 131.11/131.78 (P7(f19(x101131,x101132),x101132,x101131)),
% 131.11/131.78 inference(scs_inference,[],[9931,9959,8866,10069,8408,4796,256,254,257,167,255,152])).
% 131.11/131.78 cnf(10117,plain,
% 131.11/131.78 (P4(a16,a16,a1,a16)),
% 131.11/131.78 inference(scs_inference,[],[9931,9959,8866,9957,10069,9878,8408,4796,256,254,257,167,255,152,162,168])).
% 131.11/131.78 cnf(10119,plain,
% 131.11/131.78 (P4(a1,a1,a1,x101191)),
% 131.11/131.78 inference(scs_inference,[],[9931,9959,9971,8866,9957,10069,9878,8408,4796,256,254,257,167,255,152,162,168,169])).
% 131.11/131.78 cnf(10121,plain,
% 131.11/131.78 (P9(a18,a3,a2,a3,a2,a18,a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[9931,9959,9971,8866,9342,9957,10069,9878,8408,4796,256,254,257,167,255,152,162,168,169,252])).
% 131.11/131.78 cnf(10125,plain,
% 131.11/131.78 (P9(a2,a18,a18,a3,a2,a2,a3,a2)),
% 131.11/131.78 inference(scs_inference,[],[9553,9931,9549,9959,9971,8866,9342,9957,10069,9878,8408,4796,256,254,257,167,255,152,162,168,169,252,253,250])).
% 131.11/131.78 cnf(10127,plain,
% 131.11/131.78 (P9(a2,a16,a1,a2,a16,a16,a16,a1)),
% 131.11/131.78 inference(scs_inference,[],[9553,9931,9549,9959,9971,8866,9342,9547,9957,10069,9878,8408,4796,256,254,257,167,255,152,162,168,169,252,253,250,251])).
% 131.11/131.78 cnf(10129,plain,
% 131.11/131.78 (P5(a16,a16,a18,a18)),
% 131.11/131.78 inference(scs_inference,[],[8791,9553,9931,9549,8614,9959,9971,8866,9342,9547,9957,10069,9878,8408,4796,256,254,257,167,255,152,162,168,169,252,253,250,251,181])).
% 131.11/131.78 cnf(10134,plain,
% 131.11/131.78 (P9(x101341,x101342,x101342,x101341,x101343,x101344,x101343,x101344)),
% 131.11/131.78 inference(rename_variables,[],[8219])).
% 131.11/131.78 cnf(10136,plain,
% 131.11/131.78 (P1(f21(x101361,x101361,a2,x101361),a2,x101361)),
% 131.11/131.78 inference(scs_inference,[],[8791,9553,9931,9549,8614,9959,10014,9971,8866,9342,9547,9957,10069,8447,9878,8408,8901,8219,10134,4796,256,254,257,167,255,152,162,168,169,252,253,250,251,181,177,243,247])).
% 131.11/131.78 cnf(10139,plain,
% 131.11/131.78 (P9(a3,a2,a3,a2,a2,a3,a2,a2)),
% 131.11/131.78 inference(scs_inference,[],[8791,9553,9931,9549,8614,9959,10014,9971,8866,9342,9547,9957,10039,10069,8447,9878,8408,8901,8219,10134,8396,4796,256,254,257,167,255,152,162,168,169,252,253,250,251,181,177,243,247,227])).
% 131.11/131.78 cnf(10140,plain,
% 131.11/131.78 (P3(x101401,x101402,x101402,x101401)),
% 131.11/131.78 inference(rename_variables,[],[8396])).
% 131.11/131.78 cnf(10145,plain,
% 131.11/131.78 (P5(a2,x101451,a2,x101451)),
% 131.11/131.78 inference(rename_variables,[],[10014])).
% 131.11/131.78 cnf(10146,plain,
% 131.11/131.78 (P3(x101461,x101462,x101462,x101461)),
% 131.11/131.78 inference(rename_variables,[],[8396])).
% 131.11/131.78 cnf(10152,plain,
% 131.11/131.78 (P10(f14(a16,a3,a16,a3,a2,a16),f23(a3,a3,a3,a3,a3,a3),f14(a16,a3,a16,a3,a2,a16),a3)),
% 131.11/131.78 inference(scs_inference,[],[8791,9553,9931,9549,8614,9959,10014,10145,9971,8866,9342,9547,9957,10039,10088,10069,8447,9878,9824,8967,8408,8901,9892,8219,10134,8396,10140,4796,256,254,257,167,255,152,162,168,169,252,253,250,251,181,177,243,247,227,202,174,221,197,238])).
% 131.11/131.78 cnf(10155,plain,
% 131.11/131.78 (P5(a2,x101551,a2,f4(x101551,x101551,a2))),
% 131.11/131.78 inference(scs_inference,[],[8791,9553,9931,9549,8614,9959,10014,10145,9971,8866,9342,9547,9957,10039,10088,10069,8447,9878,9824,8967,8408,8901,9892,8219,10134,8396,10140,10146,4796,256,254,257,167,255,152,162,168,169,252,253,250,251,181,177,243,247,227,202,174,221,197,238,186])).
% 131.11/131.78 cnf(10156,plain,
% 131.11/131.78 (P5(a2,x101561,a2,x101561)),
% 131.11/131.78 inference(rename_variables,[],[10014])).
% 131.11/131.78 cnf(10159,plain,
% 131.11/131.78 (P2(f9(a18,a3,a18),a18,a3,a18)),
% 131.11/131.78 inference(scs_inference,[],[8791,9553,9931,9549,8614,9959,10014,10145,9971,8866,9342,9547,9957,10039,10088,10069,8447,9878,9824,8967,8408,8901,9529,9312,9892,8219,10134,8396,10140,10146,4796,256,254,257,167,255,152,162,168,169,252,253,250,251,181,177,243,247,227,202,174,221,197,238,186,189])).
% 131.11/131.78 cnf(10161,plain,
% 131.11/131.78 (P3(a2,a2,x101611,x101611)),
% 131.11/131.78 inference(scs_inference,[],[8791,9553,9931,9549,8614,9959,10014,10145,10156,9971,8866,9342,9547,9957,10039,10088,10069,8447,9878,9824,8967,8408,8901,9529,9312,9892,8219,10134,8396,10140,10146,4796,256,254,257,167,255,152,162,168,169,252,253,250,251,181,177,243,247,227,202,174,221,197,238,186,189,179])).
% 131.11/131.78 cnf(10163,plain,
% 131.11/131.78 (P5(a3,a2,a2,a1)),
% 131.11/131.78 inference(scs_inference,[],[8791,9553,9931,9549,8614,9959,10014,10145,10156,9971,8866,9342,9547,9957,9967,10039,10088,10069,8447,9878,9824,8967,8408,8901,8427,9529,9312,9892,8219,10134,8396,10140,10146,4796,256,254,257,167,255,152,162,168,169,252,253,250,251,181,177,243,247,227,202,174,221,197,238,186,189,179,241])).
% 131.11/131.78 cnf(10167,plain,
% 131.11/131.78 (P3(a3,a18,a2,a18)),
% 131.11/131.78 inference(scs_inference,[],[8791,9553,9931,9549,8614,9959,10014,10145,10156,9971,8866,9342,9547,9683,9957,9967,10039,10088,10069,9359,8447,9878,9824,8967,8408,8901,8427,9529,9312,9892,8466,9603,8219,10134,8396,10140,10146,4796,256,254,257,167,255,152,162,168,169,252,253,250,251,181,177,243,247,227,202,174,221,197,238,186,189,179,241,171,239])).
% 131.11/131.78 cnf(10171,plain,
% 131.11/131.78 (P10(f23(a16,a16,a16,a16,a3,a3),a3,a16,a16)),
% 131.11/131.78 inference(scs_inference,[],[8791,9553,9931,9549,8614,9959,10014,10145,10156,9971,8866,9342,9547,9683,9957,9967,10039,10088,10069,9359,8447,9878,9824,8967,8408,8901,8427,9529,8948,9312,9892,8466,9603,8219,10134,8396,10140,10146,4796,256,254,257,167,255,152,162,168,169,252,253,250,251,181,177,243,247,227,202,174,221,197,238,186,189,179,241,171,239,201,203])).
% 131.11/131.78 cnf(10173,plain,
% 131.11/131.78 (P2(a2,x101731,x101731,x101731)),
% 131.11/131.78 inference(scs_inference,[],[8791,9553,9931,9549,8614,9959,10014,10145,10156,9971,8866,9342,9547,9683,9957,9967,10039,10088,10069,9359,8447,9878,9824,8967,8408,8901,8427,9529,8948,9312,9892,8466,9603,8219,10134,8396,10140,10146,4796,256,254,257,167,255,152,162,168,169,252,253,250,251,181,177,243,247,227,202,174,221,197,238,186,189,179,241,171,239,201,203,182])).
% 131.11/131.78 cnf(10177,plain,
% 131.11/131.78 (P4(x101771,f21(x101771,x101771,x101771,x101771),x101771,x101771)),
% 131.11/131.78 inference(scs_inference,[],[8791,9553,9931,9549,8614,9959,10014,10145,10156,9971,8866,9342,9547,9683,9957,9967,10039,10088,9847,10069,9359,8447,9878,9824,8967,8408,8901,8427,9529,8948,9312,9892,8466,9603,8219,10134,8330,8396,10140,10146,4796,256,254,257,167,255,152,162,168,169,252,253,250,251,181,177,243,247,227,202,174,221,197,238,186,189,179,241,171,239,201,203,182,178,234])).
% 131.11/131.78 cnf(10182,plain,
% 131.11/131.78 (P7(f19(x101821,x101822),x101821,x101822)),
% 131.11/131.78 inference(rename_variables,[],[10069])).
% 131.11/131.78 cnf(10184,plain,
% 131.11/131.78 (P9(a1,a2,a16,a2,a16,a1,a16,a16)),
% 131.11/131.78 inference(scs_inference,[],[8791,9553,9931,9549,8614,9959,10014,10145,10156,9971,8866,9342,9547,9683,9957,9967,10039,10088,9847,10069,9359,8447,9878,9824,8967,8408,8901,8427,9529,8948,9312,9892,8466,9603,8219,10134,8521,8330,8396,10140,10146,4796,256,254,257,167,255,152,162,168,169,252,253,250,251,181,177,243,247,227,202,174,221,197,238,186,189,179,241,171,239,201,203,182,178,234,225,260])).
% 131.11/131.78 cnf(10187,plain,
% 131.11/131.78 (P3(a18,a2,a2,a3)),
% 131.11/131.78 inference(scs_inference,[],[8791,9553,9931,9549,8614,9959,10014,10145,10156,9971,8866,9342,9547,9683,9957,9967,10039,10088,9847,10069,9359,8447,9878,9824,8967,8408,8901,8427,9529,8708,8948,9312,9892,8466,9603,9033,8219,10134,8521,8330,8396,10140,10146,4796,256,254,257,167,255,152,162,168,169,252,253,250,251,181,177,243,247,227,202,174,221,197,238,186,189,179,241,171,239,201,203,182,178,234,225,260,193])).
% 131.11/131.78 cnf(10191,plain,
% 131.11/131.78 (P2(f10(a16,a16,a16),a16,a16,a16)),
% 131.11/131.78 inference(scs_inference,[],[8791,9553,9931,9549,8614,9959,10014,10145,10156,9971,8866,9342,9547,9683,9957,9967,10039,10041,10088,9847,10069,9359,8447,9878,9824,8967,8408,8901,8427,9529,8708,8948,9312,9892,8466,9603,9033,8219,10134,8521,8330,8396,10140,10146,8169,4796,256,254,257,167,255,152,162,168,169,252,253,250,251,181,177,243,247,227,202,174,221,197,238,186,189,179,241,171,239,201,203,182,178,234,225,260,193,190])).
% 131.11/131.78 cnf(10192,plain,
% 131.11/131.78 (P10(x101921,x101922,x101921,x101922)),
% 131.11/131.78 inference(rename_variables,[],[8169])).
% 131.11/131.78 cnf(10194,plain,
% 131.11/131.78 (P7(f7(a18,a18,a3),a18,a3)),
% 131.11/131.78 inference(scs_inference,[],[8791,9553,9931,9549,8614,9959,10014,10145,10156,9971,8866,9342,9547,9683,9957,9967,10039,10041,10088,9847,10069,10182,9359,8447,9878,9824,8967,8408,8901,8427,9529,8708,8948,9312,9892,8466,8750,9603,9033,8219,10134,8521,8330,8396,10140,10146,8169,4796,256,254,257,167,255,152,162,168,169,252,253,250,251,181,177,243,247,227,202,174,221,197,238,186,189,179,241,171,239,201,203,182,178,234,225,260,193,190,184])).
% 131.11/131.78 cnf(10199,plain,
% 131.11/131.78 (P10(x101991,x101992,x101991,x101992)),
% 131.11/131.78 inference(rename_variables,[],[8169])).
% 131.11/131.78 cnf(10201,plain,
% 131.11/131.78 (P7(a18,a18,a2)),
% 131.11/131.78 inference(scs_inference,[],[8791,9553,9931,9549,8614,9959,10014,10145,10156,9971,8866,9342,9547,9683,9957,9967,10039,10041,10088,9847,10069,10182,9359,8447,9693,9878,9824,8967,8408,8901,8427,9529,8708,8948,9312,9892,8466,8750,6681,9632,9603,9033,8219,10134,8521,8330,8396,10140,10146,8169,10192,8201,4796,256,254,257,167,255,152,162,168,169,252,253,250,251,181,177,243,247,227,202,174,221,197,238,186,189,179,241,171,239,201,203,182,178,234,225,260,193,190,184,226,160])).
% 131.11/131.78 cnf(10202,plain,
% 131.11/131.78 (P10(x102021,x102022,x102022,x102021)),
% 131.11/131.78 inference(rename_variables,[],[8201])).
% 131.11/131.78 cnf(10205,plain,
% 131.11/131.78 (P7(a16,x102051,x102051)),
% 131.11/131.78 inference(scs_inference,[],[8791,9553,9931,9549,8614,9959,10014,10145,10156,9971,8866,9342,9547,9683,9957,9967,10039,10041,10088,9847,10069,10182,9359,8447,9693,9878,9824,8967,8408,8901,8427,9529,8708,8948,9312,9892,8466,8750,6681,9632,9603,9033,8219,10134,8521,8330,8396,10140,10146,8169,10192,10199,8201,4796,256,254,257,167,255,152,162,168,169,252,253,250,251,181,177,243,247,227,202,174,221,197,238,186,189,179,241,171,239,201,203,182,178,234,225,260,193,190,184,226,160,173])).
% 131.11/131.78 cnf(10207,plain,
% 131.11/131.78 (P10(x102071,x102072,x102071,x102072)),
% 131.11/131.78 inference(rename_variables,[],[8169])).
% 131.11/131.78 cnf(10210,plain,
% 131.11/131.78 (P10(x102101,x102102,x102101,x102102)),
% 131.11/131.78 inference(rename_variables,[],[8169])).
% 131.11/131.78 cnf(10216,plain,
% 131.11/131.78 (P5(a1,a1,a1,f23(a1,a1,a1,a1,a1,a1))),
% 131.11/131.78 inference(scs_inference,[],[8791,9553,9931,9549,8614,9959,10014,10145,10156,9971,8866,9342,9547,9683,9957,9967,10039,10041,10088,9847,10069,10182,9359,8447,9693,9878,9824,8967,10044,8304,8408,8901,8427,9529,9754,8708,8948,9312,9892,8466,8750,6681,4728,9632,9603,5141,9033,8219,10134,8521,8330,8396,10140,10146,8169,10192,10199,10207,10210,8201,10202,4796,256,254,257,167,255,152,162,168,169,252,253,250,251,181,177,243,247,227,202,174,221,197,238,186,189,179,241,171,239,201,203,182,178,234,225,260,193,190,184,226,160,173,207,206,249])).
% 131.11/131.78 cnf(10245,plain,
% 131.11/131.78 (P3(f8(x102451,x102451,x102451,a2),x102451,x102451,a2)),
% 131.11/131.78 inference(scs_inference,[],[10173,185])).
% 131.11/131.78 cnf(10247,plain,
% 131.11/131.78 (P8(a17,a3,a3,a17,a1,a1,a17,a1)),
% 131.11/131.78 inference(scs_inference,[],[10173,8874,185,256])).
% 131.11/131.78 cnf(10249,plain,
% 131.11/131.78 (P8(a2,a1,a1,a1,a18,a2,a18,a18)),
% 131.11/131.78 inference(scs_inference,[],[9948,10173,8874,185,256,254])).
% 131.11/131.78 cnf(10251,plain,
% 131.11/131.78 (P8(a18,a2,a2,a1,a18,a18,a1,a1)),
% 131.11/131.78 inference(scs_inference,[],[9948,10173,8874,185,256,254,257])).
% 131.11/131.78 cnf(10253,plain,
% 131.11/131.78 (P7(a18,a2,a18)),
% 131.11/131.78 inference(scs_inference,[],[9948,10173,8874,10201,185,256,254,257,152])).
% 131.11/131.78 cnf(10255,plain,
% 131.11/131.78 (P8(a18,a18,a18,a2,a1,a1,a2,a1)),
% 131.11/131.78 inference(scs_inference,[],[9948,10173,8874,10201,185,256,254,257,152,255])).
% 131.11/131.78 cnf(10257,plain,
% 131.11/131.78 (P4(f21(x102571,x102571,x102571,x102571),x102571,x102571,x102571)),
% 131.11/131.78 inference(scs_inference,[],[9948,10173,8874,10201,10177,185,256,254,257,152,255,167])).
% 131.11/131.78 cnf(10261,plain,
% 131.11/131.78 (P4(x102611,x102611,f21(x102611,x102611,x102611,x102611),x102611)),
% 131.11/131.78 inference(scs_inference,[],[9948,10173,8874,10201,10177,10152,185,256,254,257,152,255,167,162,168])).
% 131.11/131.78 cnf(10263,plain,
% 131.11/131.78 (P4(a16,a16,a16,a1)),
% 131.11/131.78 inference(scs_inference,[],[9948,10173,8874,10117,10201,10177,10152,185,256,254,257,152,255,167,162,168,169])).
% 131.11/131.78 cnf(10267,plain,
% 131.11/131.78 (P9(a18,a2,a18,a3,a2,a2,a3,a2)),
% 131.11/131.78 inference(scs_inference,[],[9948,9836,10173,8874,9677,10117,10201,10177,10152,185,256,254,257,152,255,167,162,168,169,252,253])).
% 131.11/131.78 cnf(10271,plain,
% 131.11/131.78 (P9(a2,a2,a18,a2,a3,a2,a18,a3)),
% 131.11/131.78 inference(scs_inference,[],[9948,9485,9836,10173,8874,9677,10117,10201,10177,10152,185,256,254,257,152,255,167,162,168,169,252,253,250,251])).
% 131.11/131.78 cnf(10273,plain,
% 131.11/131.78 (P9(f23(a1,a1,a1,a1,a1,a1),a1,a1,a1,a1,a1,a1,a1)),
% 131.11/131.78 inference(scs_inference,[],[9948,9485,9836,10173,8874,9677,10117,10201,10177,9863,10152,9754,185,256,254,257,152,255,167,162,168,169,252,253,250,251,228])).
% 131.11/131.78 cnf(10276,plain,
% 131.11/131.78 (P3(a3,a3,a3,a2)),
% 131.11/131.78 inference(scs_inference,[],[9948,9485,9836,10173,8874,9677,10117,10139,10201,10177,9863,10152,8755,9754,185,256,254,257,152,255,167,162,168,169,252,253,250,251,228,240])).
% 131.11/131.78 cnf(10278,plain,
% 131.11/131.78 (P4(a1,a1,x102781,x102781)),
% 131.11/131.78 inference(scs_inference,[],[9948,9485,9836,10173,10119,8874,9677,10117,10139,10201,10177,9863,10152,8755,9754,185,256,254,257,152,255,167,162,168,169,252,253,250,251,228,240,183])).
% 131.11/131.78 cnf(10281,plain,
% 131.11/131.78 (P3(x102811,x102812,x102812,x102811)),
% 131.11/131.78 inference(rename_variables,[],[8396])).
% 131.11/131.78 cnf(10288,plain,
% 131.11/131.78 (P3(x102881,x102882,x102882,x102881)),
% 131.11/131.78 inference(rename_variables,[],[8396])).
% 131.11/131.78 cnf(10290,plain,
% 131.11/131.78 (P1(f5(a2,x102901,x102901),x102901,x102901)),
% 131.11/131.78 inference(scs_inference,[],[9948,9485,9836,10173,10205,10161,10119,8874,9677,10117,10139,10187,10201,10177,9863,10152,9737,8755,9754,8396,10281,10288,185,256,254,257,152,255,167,162,168,169,252,253,250,251,228,240,183,188,202,197,187,175])).
% 131.11/131.78 cnf(10291,plain,
% 131.11/131.78 (P3(x102911,x102912,x102912,x102911)),
% 131.11/131.78 inference(rename_variables,[],[8396])).
% 131.11/131.78 cnf(10294,plain,
% 131.11/131.78 (P3(x102941,x102942,x102942,x102941)),
% 131.11/131.78 inference(rename_variables,[],[8396])).
% 131.11/131.78 cnf(10296,plain,
% 131.11/131.78 (P8(a16,x102961,x102961,x102961,a16,x102961,x102961,x102961)),
% 131.11/131.78 inference(scs_inference,[],[9948,9485,9836,10173,10205,10161,10119,8874,9677,10117,10139,10187,10201,10177,9863,10152,9737,8755,9754,8396,10281,10288,10291,185,256,254,257,152,255,167,162,168,169,252,253,250,251,228,240,183,188,202,197,187,175,176,221])).
% 131.11/131.78 cnf(10298,plain,
% 131.11/131.78 (P1(a3,a2,f4(a3,a2,a2))),
% 131.11/131.78 inference(scs_inference,[],[9948,9485,9836,10173,10205,10161,10119,8874,9677,10117,10139,10187,10201,10177,9863,10152,9737,8755,9754,9890,8396,10281,10288,10291,8801,185,256,254,257,152,255,167,162,168,169,252,253,250,251,228,240,183,188,202,197,187,175,176,221,174])).
% 131.11/131.78 cnf(10300,plain,
% 131.11/131.78 (P2(f9(a3,a3,a16),a3,a3,a16)),
% 131.11/131.79 inference(scs_inference,[],[9948,9485,9836,10173,10205,10161,10119,8874,9677,10117,10139,10187,10201,10177,9863,10152,9737,10080,8755,9754,9890,8396,10281,10288,10291,10294,8801,185,256,254,257,152,255,167,162,168,169,252,253,250,251,228,240,183,188,202,197,187,175,176,221,174,189])).
% 131.11/131.79 cnf(10303,plain,
% 131.11/131.79 (P10(f25(a18,a2,a3,a1,a3),a3,a18,a2)),
% 131.11/131.79 inference(scs_inference,[],[9948,9485,9836,10173,10205,10161,10119,8874,9677,10117,10139,10187,10201,10177,9863,10152,9737,10080,8755,9754,9890,8396,10281,10288,10291,10294,8801,185,256,254,257,152,255,167,162,168,169,252,253,250,251,228,240,183,188,202,197,187,175,176,221,174,189,199])).
% 131.11/131.79 cnf(10305,plain,
% 131.11/131.79 (P5(a2,a3,a2,f4(a3,a2,a2))),
% 131.11/131.79 inference(scs_inference,[],[9948,9485,9836,10173,10205,10161,10119,8874,9677,10117,10139,10187,10201,10177,9863,10152,9737,10080,8755,9754,9890,8396,10281,10288,10291,10294,8801,185,256,254,257,152,255,167,162,168,169,252,253,250,251,228,240,183,188,202,197,187,175,176,221,174,189,199,186])).
% 131.11/131.79 cnf(10308,plain,
% 131.11/131.79 (P9(x103081,x103082,x103083,x103084,x103082,x103081,x103084,x103083)),
% 131.11/131.79 inference(rename_variables,[],[8712])).
% 131.11/131.79 cnf(10311,plain,
% 131.11/131.79 (P5(a2,x103111,a2,x103111)),
% 131.11/131.79 inference(rename_variables,[],[10014])).
% 131.11/131.79 cnf(10314,plain,
% 131.11/131.79 (P5(a2,x103141,a2,x103141)),
% 131.11/131.79 inference(rename_variables,[],[10014])).
% 131.11/131.79 cnf(10318,plain,
% 131.11/131.79 (P5(a2,a1,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[9948,9485,9836,10173,10205,10161,10119,8874,9677,9963,10117,10139,10187,10201,10177,8931,9863,10152,10095,9737,10080,8755,9754,10014,10311,9890,9183,8712,8396,10281,10288,10291,10294,8801,185,256,254,257,152,255,167,162,168,169,252,253,250,251,228,240,183,188,202,197,187,175,176,221,174,189,199,186,238,191,192,179,241])).
% 131.11/131.79 cnf(10322,plain,
% 131.11/131.79 (P3(a2,a18,a3,a2)),
% 131.11/131.79 inference(scs_inference,[],[9948,9485,9836,10173,10205,10161,10119,8874,9677,9963,10117,10139,10187,10201,10177,8931,9863,10152,10095,9737,10080,8755,9754,10014,10311,9890,9183,8712,10308,8396,10281,10288,10291,10294,8801,185,256,254,257,152,255,167,162,168,169,252,253,250,251,228,240,183,188,202,197,187,175,176,221,174,189,199,186,238,191,192,179,241,198,239])).
% 131.11/131.79 cnf(10325,plain,
% 131.11/131.79 (P5(f8(a16,a16,a16,a16),a16,f8(a16,a16,a16,a16),a16)),
% 131.11/131.79 inference(scs_inference,[],[9948,9485,9836,10173,10205,10161,10119,8874,9677,9963,10117,10139,10187,10201,10177,8931,9863,10152,10095,9737,10080,8755,9936,9754,10014,10311,9890,9183,8712,10308,8396,10281,10288,10291,10294,8801,185,256,254,257,152,255,167,162,168,169,252,253,250,251,228,240,183,188,202,197,187,175,176,221,174,189,199,186,238,191,192,179,241,198,239,171])).
% 131.11/131.79 cnf(10326,plain,
% 131.11/131.79 (P7(a16,x103261,x103261)),
% 131.11/131.79 inference(rename_variables,[],[10205])).
% 131.11/131.79 cnf(10329,plain,
% 131.11/131.79 (P7(f23(x103291,x103291,x103291,x103291,a16,a16),x103291,x103291)),
% 131.11/131.79 inference(scs_inference,[],[9948,9485,9836,10173,10205,10326,10161,10119,8874,9677,9963,10117,10139,10187,10201,10177,8931,9863,10152,10095,9737,10080,8755,9936,9754,10014,10311,9890,9183,8712,10308,8396,10281,10288,10291,10294,8801,185,256,254,257,152,255,167,162,168,169,252,253,250,251,228,240,183,188,202,197,187,175,176,221,174,189,199,186,238,191,192,179,241,198,239,171,201])).
% 131.11/131.79 cnf(10331,plain,
% 131.11/131.79 (P10(f23(a18,a2,a18,a2,a18,a18),a18,a2,a2)),
% 131.11/131.79 inference(scs_inference,[],[9948,9485,9836,10173,10205,10326,10161,10119,8874,9677,9963,10117,10139,10187,10201,10177,8931,9863,10152,10095,9737,10080,8755,9936,9754,10014,10311,9890,9183,8712,10308,8396,10281,10288,10291,10294,8801,185,256,254,257,152,255,167,162,168,169,252,253,250,251,228,240,183,188,202,197,187,175,176,221,174,189,199,186,238,191,192,179,241,198,239,171,201,203])).
% 131.11/131.79 cnf(10335,plain,
% 131.11/131.79 (P3(f23(a2,a16,a2,a16,a1,a1),a1,x103351,x103351)),
% 131.11/131.79 inference(scs_inference,[],[9948,9485,9836,10173,10205,10326,10161,10119,8874,9677,9963,10117,10139,10187,10201,10177,9999,8931,8914,9863,10152,10095,9737,10080,8755,9936,9754,10014,10311,9890,9183,8712,10308,8396,10281,10288,10291,10294,8801,185,256,254,257,152,255,167,162,168,169,252,253,250,251,228,240,183,188,202,197,187,175,176,221,174,189,199,186,238,191,192,179,241,198,239,171,201,203,182,180])).
% 131.11/131.79 cnf(10337,plain,
% 131.11/131.79 (P4(a18,a18,a18,a2)),
% 131.11/131.79 inference(scs_inference,[],[9948,9485,9836,10173,10205,10326,10161,10119,8874,9677,9963,10117,10139,10187,10201,10177,9999,8931,8914,9863,10152,10095,9737,10080,8755,9936,9754,10014,10311,6769,9890,9183,8219,8712,10308,8396,10281,10288,10291,10294,8801,185,256,254,257,152,255,167,162,168,169,252,253,250,251,228,240,183,188,202,197,187,175,176,221,174,189,199,186,238,191,192,179,241,198,239,171,201,203,182,180,234])).
% 131.11/131.79 cnf(10340,plain,
% 131.11/131.79 (P9(x103401,x103401,x103401,x103401,a2,x103401,a2,a16)),
% 131.11/131.79 inference(scs_inference,[],[9948,9485,9836,10173,10205,10326,10161,10119,8874,9677,9963,10117,10139,10187,10201,10177,9999,8931,8914,9863,10152,10095,9737,10080,8755,9936,9754,10014,10311,6769,9890,9183,8219,8712,10308,8396,10281,10288,10291,10294,8801,185,256,254,257,152,255,167,162,168,169,252,253,250,251,228,240,183,188,202,197,187,175,176,221,174,189,199,186,238,191,192,179,241,198,239,171,201,203,182,180,234,225])).
% 131.11/131.79 cnf(10341,plain,
% 131.11/131.79 (P7(a16,x103411,x103411)),
% 131.11/131.79 inference(rename_variables,[],[10205])).
% 131.11/131.79 cnf(10343,plain,
% 131.11/131.79 (P9(a3,a2,a3,a2,a3,a18,a2,a18)),
% 131.11/131.79 inference(scs_inference,[],[9948,9485,9836,10173,10205,10326,10161,10119,8874,9677,9840,9963,10117,10139,10187,10201,10177,9999,8931,8914,9863,10152,10095,9737,10080,8755,9936,9754,10014,10311,6769,9890,9183,8219,8712,10308,8396,10281,10288,10291,10294,8801,185,256,254,257,152,255,167,162,168,169,252,253,250,251,228,240,183,188,202,197,187,175,176,221,174,189,199,186,238,191,192,179,241,198,239,171,201,203,182,180,234,225,260])).
% 131.11/131.79 cnf(10345,plain,
% 131.11/131.79 (P7(f7(a3,a2,a3),a3,a3)),
% 131.11/131.79 inference(scs_inference,[],[9948,9485,9836,10173,10205,10326,10341,10161,10119,8874,9677,9840,9963,10117,10139,10187,10201,10177,9999,8931,8914,9863,10152,10095,9737,10080,8755,9936,9754,10014,10311,6769,9890,9183,8750,8219,8712,10308,8396,10281,10288,10291,10294,8801,185,256,254,257,152,255,167,162,168,169,252,253,250,251,228,240,183,188,202,197,187,175,176,221,174,189,199,186,238,191,192,179,241,198,239,171,201,203,182,180,234,225,260,184])).
% 131.11/131.79 cnf(10346,plain,
% 131.11/131.79 (P7(a16,x103461,x103461)),
% 131.11/131.79 inference(rename_variables,[],[10205])).
% 131.11/131.79 cnf(10350,plain,
% 131.11/131.79 (P10(x103501,x103502,x103501,x103502)),
% 131.11/131.79 inference(rename_variables,[],[8169])).
% 131.11/131.79 cnf(10352,plain,
% 131.11/131.79 (P7(a1,a16,a16)),
% 131.11/131.79 inference(scs_inference,[],[9948,9485,9836,10173,10205,10326,10341,10161,10119,8874,9677,9840,9963,10117,10139,10187,10201,10177,9999,9995,8931,8914,9863,10152,10095,9737,10080,8755,9790,9936,9754,10014,10311,6769,9890,8860,9183,8750,8219,8712,10308,8396,10281,10288,10291,10294,4839,8169,8801,185,256,254,257,152,255,167,162,168,169,252,253,250,251,228,240,183,188,202,197,187,175,176,221,174,189,199,186,238,191,192,179,241,198,239,171,201,203,182,180,234,225,260,184,226,160])).
% 131.11/131.79 cnf(10357,plain,
% 131.11/131.79 (P10(x103571,x103572,x103571,x103572)),
% 131.11/131.79 inference(rename_variables,[],[8169])).
% 131.11/131.79 cnf(10363,plain,
% 131.11/131.79 (P5(a1,a1,x103631,x103631)),
% 131.11/131.79 inference(scs_inference,[],[9948,9485,9836,10173,10205,10326,10341,10346,10161,10119,8874,9677,9840,9963,10117,10139,10187,10201,10177,9999,9995,8931,8914,9863,10152,10095,9737,10080,8755,9790,9936,9629,9754,10014,10311,6769,9890,8860,4394,9183,4788,8750,8519,8219,8712,10308,8396,10281,10288,10291,10294,4839,8169,10350,10357,8801,185,256,254,257,152,255,167,162,168,169,252,253,250,251,228,240,183,188,202,197,187,175,176,221,174,189,199,186,238,191,192,179,241,198,239,171,201,203,182,180,234,225,260,184,226,160,207,206,249])).
% 131.11/131.79 cnf(10369,plain,
% 131.11/131.79 (~P9(a18,a17,a18,a16,a17,a17,a17,a17)),
% 131.11/131.79 inference(scs_inference,[],[9948,9485,9836,10173,10205,10326,10341,10346,10161,10119,8874,9677,9840,9963,10117,10139,10187,10201,10177,9999,9995,8931,8914,9863,10152,10095,9737,10080,8755,9790,9936,9629,9754,10014,10311,6769,9890,8860,4394,9183,4788,8750,8519,8219,8712,10308,8396,10281,10288,10291,10294,4839,8169,10350,10357,8801,185,256,254,257,152,255,167,162,168,169,252,253,250,251,228,240,183,188,202,197,187,175,176,221,174,189,199,186,238,191,192,179,241,198,239,171,201,203,182,180,234,225,260,184,226,160,207,206,249,6749])).
% 131.11/131.79 cnf(10371,plain,
% 131.11/131.79 (P7(f7(a3,a2,a3),a2,a2)),
% 131.11/131.79 inference(scs_inference,[],[9948,9485,9836,10173,10205,10326,10341,10346,10161,10119,8874,9677,9840,9963,10117,10139,10187,10201,10177,9999,9995,8931,8914,9863,10152,10095,9737,10080,8755,9790,9936,9629,9754,10014,10311,6769,9890,8860,4394,9183,4788,8750,8519,8219,8712,10308,8396,10281,10288,10291,10294,4839,8169,10350,10357,8801,185,256,254,257,152,255,167,162,168,169,252,253,250,251,228,240,183,188,202,197,187,175,176,221,174,189,199,186,238,191,192,179,241,198,239,171,201,203,182,180,234,225,260,184,226,160,207,206,249,6749,790])).
% 131.11/131.79 cnf(10375,plain,
% 131.11/131.79 (P3(x103751,f4(x103751,x103751,x103751),f4(x103751,x103751,x103751),f4(x103751,x103751,x103751))),
% 131.11/131.79 inference(scs_inference,[],[9948,9485,8961,9836,10173,10205,10326,10341,10346,10161,10119,8874,9677,9840,9963,10117,10139,10187,10201,10177,9999,9992,9995,8931,8914,9863,10152,10095,9737,10080,8755,9790,9936,9629,9754,10014,10311,6769,9890,8860,4394,9183,4788,8750,8519,8219,8712,10308,8396,10281,10288,10291,10294,4839,8169,10350,10357,8801,185,256,254,257,152,255,167,162,168,169,252,253,250,251,228,240,183,188,202,197,187,175,176,221,174,189,199,186,238,191,192,179,241,198,239,171,201,203,182,180,234,225,260,184,226,160,207,206,249,6749,790,218,170])).
% 131.11/131.79 cnf(10377,plain,
% 131.11/131.79 (P3(a18,a2,a2,a2)),
% 131.11/131.79 inference(scs_inference,[],[9948,9485,8961,9836,10173,10205,10326,10341,10346,10161,10119,8874,9677,9840,9963,10117,10139,10187,10201,10177,9999,9992,9995,8931,8914,9863,10152,10095,9737,10080,8755,9790,9936,9406,9629,9754,10014,10311,10314,6769,9890,8860,4394,9183,4788,8750,8519,9784,8219,8712,10308,8396,10281,10288,10291,10294,4839,8169,10350,10357,8801,185,256,254,257,152,255,167,162,168,169,252,253,250,251,228,240,183,188,202,197,187,175,176,221,174,189,199,186,238,191,192,179,241,198,239,171,201,203,182,180,234,225,260,184,226,160,207,206,249,6749,790,218,170,193])).
% 131.11/131.79 cnf(10385,plain,
% 131.11/131.79 (P9(x103851,x103851,x103851,x103851,a2,x103851,a2,a16)),
% 131.11/131.79 inference(rename_variables,[],[10340])).
% 131.11/131.79 cnf(10387,plain,
% 131.11/131.79 (P7(f23(a3,a3,a3,a3,a16,a16),a2,a2)),
% 131.11/131.79 inference(scs_inference,[],[10340,10329,7689,790])).
% 131.11/131.79 cnf(10388,plain,
% 131.11/131.79 (P7(f23(x103881,x103881,x103881,x103881,a16,a16),x103881,x103881)),
% 131.11/131.79 inference(rename_variables,[],[10329])).
% 131.11/131.79 cnf(10390,plain,
% 131.11/131.79 (P8(a17,a2,a2,a1,a17,a17,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[9951,10340,10329,7689,790,257])).
% 131.11/131.79 cnf(10392,plain,
% 131.11/131.79 (P7(f7(a1,a1,a3),a3,a1)),
% 131.11/131.79 inference(scs_inference,[],[9951,10340,10329,10054,7689,790,257,152])).
% 131.11/131.79 cnf(10394,plain,
% 131.11/131.79 (P8(x103941,a16,x103941,x103941,a16,x103941,x103941,x103941)),
% 131.11/131.79 inference(scs_inference,[],[9951,10296,10340,10329,10054,7689,790,257,152,256])).
% 131.11/131.79 cnf(10396,plain,
% 131.11/131.79 (P8(a17,a17,a17,a2,a1,a1,a2,a1)),
% 131.11/131.79 inference(scs_inference,[],[9951,10296,10340,10329,10054,7689,790,257,152,256,255])).
% 131.11/131.79 cnf(10398,plain,
% 131.11/131.79 (P8(a2,a1,a1,a1,a17,a2,a17,a17)),
% 131.11/131.79 inference(scs_inference,[],[9951,10296,10340,10329,10054,7689,790,257,152,256,255,254])).
% 131.11/131.79 cnf(10402,plain,
% 131.11/131.79 (P4(f22(x104021,x104021,x104021,x104021),x104021,x104021,x104021)),
% 131.11/131.79 inference(scs_inference,[],[9951,10296,10340,10329,9097,10054,8592,7689,790,257,152,256,255,254,162,167])).
% 131.11/131.79 cnf(10404,plain,
% 131.11/131.79 (P4(a1,x104041,a1,x104041)),
% 131.11/131.79 inference(scs_inference,[],[9951,10296,10340,10278,10329,9097,10054,8592,7689,790,257,152,256,255,254,162,167,168])).
% 131.11/131.79 cnf(10406,plain,
% 131.11/131.79 (P4(a18,a18,a2,a18)),
% 131.11/131.79 inference(scs_inference,[],[9951,10296,10340,10278,10337,10329,9097,10054,8592,7689,790,257,152,256,255,254,162,167,168,169])).
% 131.11/131.79 cnf(10408,plain,
% 131.11/131.79 (P9(a2,a1,a16,a2,a16,a1,a16,a16)),
% 131.11/131.79 inference(scs_inference,[],[9951,10184,10296,10340,10278,10337,10329,9097,10054,8592,7689,790,257,152,256,255,254,162,167,168,169,252])).
% 131.11/131.79 cnf(10410,plain,
% 131.11/131.79 (P9(a1,a2,a16,a1,a16,a2,a16,a16)),
% 131.11/131.79 inference(scs_inference,[],[9951,10184,10296,10340,10278,10337,10329,9097,10054,8592,7689,790,257,152,256,255,254,162,167,168,169,252,253])).
% 131.11/131.79 cnf(10414,plain,
% 131.11/131.79 (P9(a16,a2,a1,a2,a16,a16,a16,a1)),
% 131.11/131.79 inference(scs_inference,[],[9951,10121,10184,10296,10340,10278,10337,10329,9097,10054,8592,7689,790,257,152,256,255,254,162,167,168,169,252,253,250,251])).
% 131.11/131.79 cnf(10416,plain,
% 131.11/131.79 (P1(f15(a2,a2,a18,a2),a2,a2)),
% 131.11/131.79 inference(scs_inference,[],[9951,10121,10184,10296,10340,10278,10337,10377,10329,9097,10054,8592,8221,7689,790,257,152,256,255,254,162,167,168,169,252,253,250,251,246])).
% 131.11/131.79 cnf(10417,plain,
% 131.11/131.79 (P9(x104171,x104172,x104173,x104174,x104171,x104172,x104173,x104174)),
% 131.11/131.79 inference(rename_variables,[],[8221])).
% 131.11/131.79 cnf(10423,plain,
% 131.11/131.79 (P9(x104231,x104232,x104233,x104234,x104232,x104231,x104233,x104234)),
% 131.11/131.79 inference(rename_variables,[],[8330])).
% 131.11/131.79 cnf(10425,plain,
% 131.11/131.79 (P1(a2,a2,f22(a2,a2,a18,a2))),
% 131.11/131.79 inference(scs_inference,[],[9951,10121,10184,10296,10340,10278,10337,10377,10329,9097,10054,8592,8330,10423,8221,10417,7689,790,257,152,256,255,254,162,167,168,169,252,253,250,251,246,245,248,244])).
% 131.11/131.79 cnf(10429,plain,
% 131.11/131.79 (P10(x104291,x104292,x104292,x104291)),
% 131.11/131.79 inference(rename_variables,[],[8201])).
% 131.11/131.79 cnf(10430,plain,
% 131.11/131.79 (P7(f23(x104301,x104301,x104301,x104301,a16,a16),x104301,x104301)),
% 131.11/131.79 inference(rename_variables,[],[10329])).
% 131.11/131.79 cnf(10435,plain,
% 131.11/131.79 (P3(x104351,x104352,x104351,x104352)),
% 131.11/131.79 inference(rename_variables,[],[8264])).
% 131.11/131.79 cnf(10436,plain,
% 131.11/131.79 (P5(a1,a1,x104361,x104361)),
% 131.11/131.79 inference(rename_variables,[],[10363])).
% 131.11/131.79 cnf(10440,plain,
% 131.11/131.79 (P5(a3,a3,a3,f4(a3,a2,a3))),
% 131.11/131.79 inference(scs_inference,[],[9951,10121,10184,10296,10340,10278,10363,10253,10276,10337,10377,10329,10388,9097,10054,8592,8328,8565,8330,10423,8221,10417,8264,8201,7689,790,257,152,256,255,254,162,167,168,169,252,253,250,251,246,245,248,244,820,202,197,189,186])).
% 131.11/131.79 cnf(10442,plain,
% 131.11/131.79 (P8(a18,a2,a2,a18,a18,a2,a2,a18)),
% 131.11/131.79 inference(scs_inference,[],[9951,10121,10184,10296,10340,10278,10363,10253,10276,10337,10377,10329,10388,9097,10054,8592,8328,8565,8330,10423,8221,10417,8264,8201,7689,790,257,152,256,255,254,162,167,168,169,252,253,250,251,246,245,248,244,820,202,197,189,186,221])).
% 131.11/131.79 cnf(10445,plain,
% 131.11/131.79 (P3(x104451,x104452,x104451,x104452)),
% 131.11/131.79 inference(rename_variables,[],[8264])).
% 131.11/131.79 cnf(10446,plain,
% 131.11/131.79 (P5(a1,a1,x104461,x104461)),
% 131.11/131.79 inference(rename_variables,[],[10363])).
% 131.11/131.79 cnf(10448,plain,
% 131.11/131.79 (P1(a3,a3,f4(a3,a2,a3))),
% 131.11/131.79 inference(scs_inference,[],[9951,10121,10184,10296,10340,10278,10363,10436,10253,10276,10337,10377,10329,10388,9097,10054,8592,8328,8565,8330,10423,8221,10417,8264,10435,8201,7689,790,257,152,256,255,254,162,167,168,169,252,253,250,251,246,245,248,244,820,202,197,189,186,221,199,174])).
% 131.11/131.79 cnf(10454,plain,
% 131.11/131.79 (P5(a17,a2,a17,a17)),
% 131.11/131.79 inference(scs_inference,[],[9951,10121,10184,10296,10340,10278,10363,10436,10253,10276,10318,10337,10377,10329,10388,9097,10054,8592,8328,8565,8330,10423,8221,10417,8264,10435,8201,7689,790,257,152,256,255,254,162,167,168,169,252,253,250,251,246,245,248,244,820,202,197,189,186,221,199,174,191,192,241])).
% 131.11/131.79 cnf(10456,plain,
% 131.11/131.79 (P3(a2,a1,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[9951,10121,10184,10296,10340,10278,10363,10436,10253,10276,10318,10337,10377,10329,10388,9097,10054,8592,8328,8565,8330,10423,8221,10417,8264,10435,8201,7689,790,257,152,256,255,254,162,167,168,169,252,253,250,251,246,245,248,244,820,202,197,189,186,221,199,174,191,192,241,179])).
% 131.11/131.79 cnf(10458,plain,
% 131.11/131.79 (P5(x104581,a1,x104581,f25(a1,x104581,a1,a1,a1))),
% 131.11/131.79 inference(scs_inference,[],[9951,10121,10184,10296,10340,10278,10363,10436,10446,10253,10276,10318,10337,10377,10329,10388,9097,10054,8592,8328,8565,8330,10423,8221,10417,8264,10435,8396,8201,7689,790,257,152,256,255,254,162,167,168,169,252,253,250,251,246,245,248,244,820,202,197,189,186,221,199,174,191,192,241,179,198])).
% 131.11/131.79 cnf(10460,plain,
% 131.11/131.79 (P5(a1,a1,x104601,x104601)),
% 131.11/131.79 inference(rename_variables,[],[10363])).
% 131.11/131.79 cnf(10462,plain,
% 131.11/131.79 (P3(a3,a18,a3,a2)),
% 131.11/131.79 inference(scs_inference,[],[9951,10121,10184,10296,10340,10278,10363,10436,10446,9838,10253,10276,10318,10337,10377,10329,10388,9097,10054,8592,8328,8565,8330,10423,8221,10417,8264,10435,8396,8201,7689,790,257,152,256,255,254,162,167,168,169,252,253,250,251,246,245,248,244,820,202,197,189,186,221,199,174,191,192,241,179,198,239])).
% 131.11/131.79 cnf(10464,plain,
% 131.11/131.79 (P5(a3,a2,a3,a18)),
% 131.11/131.79 inference(scs_inference,[],[9951,10121,10184,10296,10340,10278,10363,10436,10446,9838,10167,10253,10276,10318,10337,10377,10329,10388,9097,10054,8592,8328,8565,8330,10423,8221,10417,8264,10435,8396,8201,7689,790,257,152,256,255,254,162,167,168,169,252,253,250,251,246,245,248,244,820,202,197,189,186,221,199,174,191,192,241,179,198,239,171])).
% 131.11/131.79 cnf(10466,plain,
% 131.11/131.79 (P7(f23(a2,a18,a2,a18,a18,a18),a2,a18)),
% 131.11/131.79 inference(scs_inference,[],[9951,10121,10184,10296,10340,10278,10363,10436,10446,9838,10167,10253,10276,10318,10337,10377,10329,10388,9097,10054,8592,8328,8565,8330,10423,8221,10417,8264,10435,8396,8201,7689,790,257,152,256,255,254,162,167,168,169,252,253,250,251,246,245,248,244,820,202,197,189,186,221,199,174,191,192,241,179,198,239,171,201])).
% 131.11/131.79 cnf(10472,plain,
% 131.11/131.79 (P4(a18,a18,f15(a18,a18,a1,a18),a1)),
% 131.11/131.79 inference(scs_inference,[],[9951,10121,10184,10296,10340,10278,10363,10436,10446,9838,10167,10253,10276,10318,10337,10377,9696,9290,10329,10388,9097,10054,8592,8328,8565,8330,10423,8221,10417,8174,8264,10435,8396,8201,7689,790,257,152,256,255,254,162,167,168,169,252,253,250,251,246,245,248,244,820,202,197,189,186,221,199,174,191,192,241,179,198,239,171,201,203,182,234])).
% 131.11/131.79 cnf(10476,plain,
% 131.11/131.79 (P7(f23(x104761,x104761,x104761,x104761,a16,a16),x104761,x104761)),
% 131.11/131.79 inference(rename_variables,[],[10329])).
% 131.11/131.79 cnf(10479,plain,
% 131.11/131.79 (P9(x104791,x104792,x104791,x104792,x104793,x104794,x104794,x104793)),
% 131.11/131.79 inference(rename_variables,[],[8334])).
% 131.11/131.79 cnf(10481,plain,
% 131.11/131.79 (P9(x104811,x104812,x104811,x104812,x104813,x104814,x104814,x104813)),
% 131.11/131.79 inference(rename_variables,[],[8334])).
% 131.11/131.79 cnf(10483,plain,
% 131.11/131.79 (P9(x104831,x104832,x104831,x104832,x104833,x104834,x104834,x104833)),
% 131.11/131.79 inference(rename_variables,[],[8334])).
% 131.11/131.79 cnf(10486,plain,
% 131.11/131.79 (P9(f23(a1,a1,a1,a1,a1,a1),a1,a1,a1,a2,a1,a2,a16)),
% 131.11/131.79 inference(scs_inference,[],[9951,10121,10184,10296,10340,10385,10278,10363,10436,10446,9838,10167,10253,10276,10318,10337,10369,10377,10050,9696,9290,10329,10388,10430,9097,10054,10273,8592,8328,8565,8330,10423,8221,10417,8334,10479,10481,10483,8174,8264,10435,8396,8201,7689,790,257,152,256,255,254,162,167,168,169,252,253,250,251,246,245,248,244,820,202,197,189,186,221,199,174,191,192,241,179,198,239,171,201,203,182,234,225,120,119,118,117,260])).
% 131.11/131.79 cnf(10489,plain,
% 131.11/131.79 (P4(a2,f25(a3,a3,a2,a3,a3),f25(a3,a3,a2,a3,a3),f25(a3,a3,a2,a3,a3))),
% 131.11/131.79 inference(scs_inference,[],[9951,10121,10184,10296,10340,10385,10278,10363,10436,10446,9838,10167,10253,10276,10318,10337,10369,10377,10050,9696,9290,10329,10388,10430,9097,10054,10273,8592,8328,8565,8330,10423,8221,10417,8334,10479,10481,10483,8174,8264,10435,8396,8201,7689,790,257,152,256,255,254,162,167,168,169,252,253,250,251,246,245,248,244,820,202,197,189,186,221,199,174,191,192,241,179,198,239,171,201,203,182,234,225,120,119,118,117,260,194])).
% 131.11/131.79 cnf(10491,plain,
% 131.11/131.79 (P2(f10(a1,a1,a16),a1,a1,a16)),
% 131.11/131.79 inference(scs_inference,[],[9951,10121,10184,10296,10340,10385,10278,10363,10436,10446,9838,10167,10253,10276,10318,10337,10369,10377,10050,9696,9290,10329,10388,10430,10476,9097,10054,10273,8592,8888,8328,8565,8330,10423,8221,10417,8334,10479,10481,10483,8174,8264,10435,8396,8201,7689,790,257,152,256,255,254,162,167,168,169,252,253,250,251,246,245,248,244,820,202,197,189,186,221,199,174,191,192,241,179,198,239,171,201,203,182,234,225,120,119,118,117,260,194,190])).
% 131.11/131.79 cnf(10493,plain,
% 131.11/131.79 (P7(f23(x104931,x104931,x104931,x104931,a16,a16),x104931,x104931)),
% 131.11/131.79 inference(rename_variables,[],[10329])).
% 131.11/131.79 cnf(10495,plain,
% 131.11/131.79 (P3(a3,a1,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[9951,10121,10184,10296,10340,10385,10278,10363,10436,10446,10460,9838,10167,10253,10276,10318,10337,10369,10377,10050,9696,9290,10329,10388,10430,10476,9097,10054,10273,8592,8888,8328,9971,8565,9033,8330,10423,8221,10417,8334,10479,10481,10483,8174,8264,10435,8396,8201,7689,790,257,152,256,255,254,162,167,168,169,252,253,250,251,246,245,248,244,820,202,197,189,186,221,199,174,191,192,241,179,198,239,171,201,203,182,234,225,120,119,118,117,260,194,190,193])).
% 131.11/131.79 cnf(10496,plain,
% 131.11/131.79 (P5(x104961,a3,x104961,a3)),
% 131.11/131.79 inference(rename_variables,[],[9033])).
% 131.11/131.79 cnf(10500,plain,
% 131.11/131.79 (P7(f7(a3,a3,a2),a3,a2)),
% 131.11/131.79 inference(scs_inference,[],[9951,10121,10184,10296,10340,10385,10278,10363,10436,10446,10460,9838,10167,10253,10276,10318,10337,10369,10377,10050,9696,9290,10329,10388,10430,10476,10493,9097,10054,10273,8592,8888,8328,9971,8565,9033,8330,10423,8221,10417,8334,10479,10481,10483,8174,8264,10435,10445,8396,8201,7689,790,257,152,256,255,254,162,167,168,169,252,253,250,251,246,245,248,244,820,202,197,189,186,221,199,174,191,192,241,179,198,239,171,201,203,182,234,225,120,119,118,117,260,194,190,193,184])).
% 131.11/131.79 cnf(10505,plain,
% 131.11/131.79 (P2(x105051,a3,a3,a3)),
% 131.11/131.79 inference(rename_variables,[],[9189])).
% 131.11/131.79 cnf(10506,plain,
% 131.11/131.79 (P5(x105061,a3,x105061,a3)),
% 131.11/131.79 inference(rename_variables,[],[9033])).
% 131.11/131.79 cnf(10509,plain,
% 131.11/131.79 (P2(x105091,a3,a3,a3)),
% 131.11/131.79 inference(rename_variables,[],[9189])).
% 131.11/131.79 cnf(10510,plain,
% 131.11/131.79 (P5(x105101,a3,x105101,a3)),
% 131.11/131.79 inference(rename_variables,[],[9033])).
% 131.11/131.79 cnf(10512,plain,
% 131.11/131.79 (P1(f11(a3,a3,a3,a18,a18,a16),a3,a3)),
% 131.11/131.79 inference(scs_inference,[],[9951,10121,10184,10296,10340,10385,10278,10363,10436,10446,10460,9838,10167,10253,10276,10318,10337,10369,10377,10050,9696,9290,10329,10388,10430,10476,10493,9097,10054,10273,8592,8888,8328,9971,9189,10505,10509,8565,9033,10496,10506,10510,8330,10423,8221,10417,9304,8334,10479,10481,10483,8174,8264,10435,10445,8396,8201,7689,790,257,152,256,255,254,162,167,168,169,252,253,250,251,246,245,248,244,820,202,197,189,186,221,199,174,191,192,241,179,198,239,171,201,203,182,234,225,120,119,118,117,260,194,190,193,184,211,210,208])).
% 131.11/131.79 cnf(10513,plain,
% 131.11/131.79 (P2(x105131,a3,a3,a3)),
% 131.11/131.79 inference(rename_variables,[],[9189])).
% 131.11/131.79 cnf(10514,plain,
% 131.11/131.79 (P5(x105141,a3,x105141,a3)),
% 131.11/131.79 inference(rename_variables,[],[9033])).
% 131.11/131.79 cnf(10529,plain,
% 131.11/131.79 (P8(a3,a16,a3,a3,a16,a1,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[9951,10121,10184,10296,10340,10385,10278,10363,10436,10446,10460,9838,10167,10253,10276,10318,10337,10369,10377,10050,9696,9290,10329,10388,10430,10476,10493,9097,10054,10273,8592,8888,8328,9971,9189,10505,10509,10513,9790,9363,8565,6767,9033,10496,10506,10510,10514,8519,8330,10423,8221,10417,9304,8334,10479,10481,10483,4362,8174,8264,10435,10445,8396,8201,10429,8169,7689,790,257,152,256,255,254,162,167,168,169,252,253,250,251,246,245,248,244,820,202,197,189,186,221,199,174,191,192,241,179,198,239,171,201,203,182,234,225,120,119,118,117,260,194,190,193,184,211,210,208,209,207,206,249,6297])).
% 131.11/131.79 cnf(10533,plain,
% 131.11/131.79 (P1(f13(a2,a1,a1,a2,a16),a2,a16)),
% 131.11/131.79 inference(scs_inference,[],[142,9951,10121,10184,10296,10340,10385,10278,10363,10436,10446,10460,9838,10167,10253,10276,10318,10337,10369,10377,10050,9696,9290,10329,10388,10430,10476,10493,9097,10054,10273,8592,8888,8328,9971,9189,10505,10509,10513,9790,9363,8565,6767,9033,10496,10506,10510,10514,8519,8330,10423,8221,10417,9304,8334,10479,10481,10483,4362,8174,8264,10435,10445,8396,8201,10429,8169,7689,790,257,152,256,255,254,162,167,168,169,252,253,250,251,246,245,248,244,820,202,197,189,186,221,199,174,191,192,241,179,198,239,171,201,203,182,234,225,120,119,118,117,260,194,190,193,184,211,210,208,209,207,206,249,6297,222,195])).
% 131.11/131.79 cnf(10547,plain,
% 131.11/131.79 (P10(a1,f5(a1,a3,a1),a2,a16)),
% 131.11/131.79 inference(scs_inference,[],[142,9951,10121,10184,10296,10340,10385,10278,10363,10436,10446,10460,9838,10167,10253,10276,10318,10337,10369,10377,10050,9696,9290,10329,10388,10430,10476,10493,9097,10054,10273,8592,9457,8888,8328,9971,9189,10505,10509,10513,9790,9363,8565,6767,9033,10496,10506,10510,10514,8519,8330,10423,8221,10417,9304,8334,10479,10481,10483,4362,8174,8264,10435,10445,8396,8201,10429,8169,7689,790,257,152,256,255,254,162,167,168,169,252,253,250,251,246,245,248,244,820,202,197,189,186,221,199,174,191,192,241,179,198,239,171,201,203,182,234,225,120,119,118,117,260,194,190,193,184,211,210,208,209,207,206,249,6297,222,195,196,170,188,176,175,187,270])).
% 131.11/131.79 cnf(10549,plain,
% 131.11/131.79 (P3(a2,x105491,x105491,a16)+~P2(x105492,a2,x105491,a16)+~E(x105492,a1)),
% 131.11/131.79 inference(scs_inference,[],[142,9951,10121,10184,10296,10340,10385,10278,10363,10436,10446,10460,9838,10167,10253,10276,10318,10337,10369,10377,10050,9696,9290,10329,10388,10430,10476,10493,9097,10054,10273,8592,9457,8888,8328,9971,9189,10505,10509,10513,9790,9363,8565,6767,9033,10496,10506,10510,10514,8519,8330,10423,8221,10417,9304,8334,10479,10481,10483,4362,8174,8264,10435,10445,8396,8201,10429,8169,7689,790,257,152,256,255,254,162,167,168,169,252,253,250,251,246,245,248,244,820,202,197,189,186,221,199,174,191,192,241,179,198,239,171,201,203,182,234,225,120,119,118,117,260,194,190,193,184,211,210,208,209,207,206,249,6297,222,195,196,170,188,176,175,187,270,129])).
% 131.11/131.79 cnf(10552,plain,
% 131.11/131.79 (P9(x105521,x105522,x105523,x105524,x105521,x105522,x105524,x105523)),
% 131.11/131.79 inference(rename_variables,[],[8521])).
% 131.11/131.79 cnf(10554,plain,
% 131.11/131.79 (P9(a1,a1,a1,x105541,x105541,a1,x105541,x105541)),
% 131.11/131.79 inference(scs_inference,[],[10404,8521,7706,222])).
% 131.11/131.79 cnf(10556,plain,
% 131.11/131.79 (P7(f23(a2,a18,a2,a18,a18,a18),a18,a2)),
% 131.11/131.79 inference(scs_inference,[],[10404,10466,8521,7706,222,152])).
% 131.11/131.79 cnf(10558,plain,
% 131.11/131.79 (P8(a2,a17,a2,a17,a1,a1,a17,a1)),
% 131.11/131.79 inference(scs_inference,[],[9954,10404,10466,8521,7706,222,152,255])).
% 131.11/131.79 cnf(10560,plain,
% 131.11/131.79 (P8(a17,a3,a3,a17,a3,a17,a3,a17)),
% 131.11/131.79 inference(scs_inference,[],[9954,10404,8940,10466,8521,7706,222,152,255,256])).
% 131.11/131.79 cnf(10562,plain,
% 131.11/131.79 (P8(a2,a17,a17,a1,a2,a17,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[9954,10404,8940,10466,8521,7706,222,152,255,256,257])).
% 131.11/131.79 cnf(10564,plain,
% 131.11/131.79 (P4(x105641,a1,a1,x105641)),
% 131.11/131.79 inference(scs_inference,[],[9954,10404,8940,10466,8521,7706,222,152,255,256,257,167])).
% 131.11/131.79 cnf(10566,plain,
% 131.11/131.79 (P8(a17,a1,a1,a1,a2,a17,a2,a17)),
% 131.11/131.79 inference(scs_inference,[],[9954,10404,8940,10466,8521,7706,222,152,255,256,257,167,254])).
% 131.11/131.79 cnf(10570,plain,
% 131.11/131.79 (P4(a18,a2,a18,a18)),
% 131.11/131.79 inference(scs_inference,[],[9954,10404,8940,10406,10466,10004,8521,7706,222,152,255,256,257,167,254,162,168])).
% 131.11/131.79 cnf(10572,plain,
% 131.11/131.79 (P4(a1,x105721,x105721,a1)),
% 131.11/131.79 inference(scs_inference,[],[9954,10404,8940,10406,10466,10004,8521,7706,222,152,255,256,257,167,254,162,168,169])).
% 131.11/131.79 cnf(10574,plain,
% 131.11/131.79 (P9(a2,a1,a16,a2,a1,a16,a16,a16)),
% 131.11/131.79 inference(scs_inference,[],[9954,10404,8940,9977,10406,10466,10004,8521,7706,222,152,255,256,257,167,254,162,168,169,252])).
% 131.11/131.79 cnf(10576,plain,
% 131.11/131.79 (P9(a18,a3,a18,a2,a3,a2,a2,a2)),
% 131.11/131.79 inference(scs_inference,[],[9954,10404,8940,9906,9977,10406,10466,10004,8521,7706,222,152,255,256,257,167,254,162,168,169,252,253])).
% 131.11/131.79 cnf(10578,plain,
% 131.11/131.79 (P9(a16,a2,a16,a16,a2,a1,a1,a16)),
% 131.11/131.79 inference(scs_inference,[],[9954,10404,8940,9906,9975,9977,10406,10466,10004,8521,7706,222,152,255,256,257,167,254,162,168,169,252,253,250])).
% 131.11/131.79 cnf(10582,plain,
% 131.11/131.79 (P7(f5(a2,a2,a2),a2,a2)),
% 131.11/131.79 inference(scs_inference,[],[9954,10404,8940,9834,9906,9975,9977,10406,10290,10466,10004,9742,8521,7706,222,152,255,256,257,167,254,162,168,169,252,253,250,251,159])).
% 131.11/131.79 cnf(10587,plain,
% 131.11/131.79 (P10(a2,a2,a18,a18)),
% 131.11/131.79 inference(scs_inference,[],[9954,10404,8940,9834,9906,9975,9977,10406,10456,10290,10466,10004,9742,5088,8521,7706,222,152,255,256,257,167,254,162,168,169,252,253,250,251,159,195,155])).
% 131.11/131.79 cnf(10592,plain,
% 131.11/131.79 (P9(x105921,x105922,x105923,x105924,x105921,x105922,x105923,x105924)),
% 131.11/131.79 inference(rename_variables,[],[8221])).
% 131.11/131.79 cnf(10598,plain,
% 131.11/131.79 (P9(x105981,x105982,x105982,x105981,x105983,x105984,x105983,x105984)),
% 131.11/131.79 inference(rename_variables,[],[8219])).
% 131.11/131.79 cnf(10610,plain,
% 131.11/131.79 (P5(a1,a1,a1,f25(a2,a1,a1,a1,a1))),
% 131.11/131.79 inference(scs_inference,[],[9954,10352,10404,8940,9834,9906,9975,9977,10406,10456,10495,10290,10371,10466,10004,10363,9742,5088,9457,8521,8219,10598,8221,10592,8169,7706,222,152,255,256,257,167,254,162,168,169,252,253,250,251,159,195,155,196,246,245,248,244,188,820,202,197])).
% 131.11/131.79 cnf(10611,plain,
% 131.11/131.79 (P5(a1,a1,x106111,x106111)),
% 131.11/131.79 inference(rename_variables,[],[10363])).
% 131.11/131.79 cnf(10613,plain,
% 131.11/131.79 (P2(f9(a16,a16,a16),a16,a16,a16)),
% 131.11/131.79 inference(scs_inference,[],[9954,10352,10404,8940,9834,9906,9975,9977,10263,10406,10456,10495,10290,10371,10466,10004,10363,9742,5088,9457,8521,8219,10598,8221,10592,8264,8169,7706,222,152,255,256,257,167,254,162,168,169,252,253,250,251,159,195,155,196,246,245,248,244,188,820,202,197,189])).
% 131.11/131.79 cnf(10622,plain,
% 131.11/131.79 (P10(f25(a2,a1,a1,a1,a1),a1,a2,a1)),
% 131.11/131.79 inference(scs_inference,[],[9954,10352,10404,8940,9834,9906,9975,9977,10263,10406,10456,10495,10290,10371,10466,10004,10363,10611,9742,5088,9457,8521,8219,10598,8221,10592,8264,8169,7706,222,152,255,256,257,167,254,162,168,169,252,253,250,251,159,195,155,196,246,245,248,244,188,820,202,197,189,176,175,187,199])).
% 131.11/131.79 cnf(10626,plain,
% 131.11/131.79 (P9(x106261,x106262,x106263,x106264,x106261,x106262,x106264,x106263)),
% 131.11/131.79 inference(rename_variables,[],[8521])).
% 131.11/131.79 cnf(10641,plain,
% 131.11/131.79 (P3(a2,a18,a2,a3)),
% 131.11/131.79 inference(scs_inference,[],[9954,10352,10404,8940,9834,9906,9975,9977,10105,10263,10322,10406,10456,10464,10495,10290,10371,10325,10466,10004,10547,10167,10363,10611,9742,5088,9457,9183,8521,10552,10626,9033,8219,10598,8221,10592,8264,8169,7706,222,152,255,256,257,167,254,162,168,169,252,253,250,251,159,195,155,196,246,245,248,244,188,820,202,197,189,176,175,187,199,238,191,221,192,241,179,198,239])).
% 131.11/131.79 cnf(10642,plain,
% 131.11/131.79 (P9(x106421,x106422,x106423,x106424,x106421,x106422,x106424,x106423)),
% 131.11/131.79 inference(rename_variables,[],[8521])).
% 131.11/131.79 cnf(10644,plain,
% 131.11/131.79 (P5(f23(a2,a16,a2,a16,a1,a1),a16,f23(a2,a16,a2,a16,a1,a1),a16)),
% 131.11/131.79 inference(scs_inference,[],[9954,10352,10404,8940,9834,9906,9975,9977,10105,10263,10322,10406,10456,10464,10495,10290,10335,10371,10325,10466,10004,10547,10167,10363,10611,9742,5088,9457,9183,8521,10552,10626,9033,8219,10598,8221,10592,8264,8169,7706,222,152,255,256,257,167,254,162,168,169,252,253,250,251,159,195,155,196,246,245,248,244,188,820,202,197,189,176,175,187,199,238,191,221,192,241,179,198,239,171])).
% 131.11/131.79 cnf(10647,plain,
% 131.11/131.79 (P7(f23(a16,a16,a16,a16,a1,a1),a16,a16)),
% 131.11/131.79 inference(scs_inference,[],[9954,10352,10404,8940,9834,9906,9975,9977,10105,10263,10322,10406,10456,10464,10495,10290,10335,10371,10325,10466,10004,10547,10167,10363,10611,9742,5088,9457,9183,8521,10552,10626,9033,8219,10598,8221,10592,8264,8169,7706,222,152,255,256,257,167,254,162,168,169,252,253,250,251,159,195,155,196,246,245,248,244,188,820,202,197,189,176,175,187,199,238,191,221,192,241,179,198,239,171,201])).
% 131.11/131.79 cnf(10651,plain,
% 131.11/131.79 (P2(a17,a2,a17,a17)),
% 131.11/131.79 inference(scs_inference,[],[9954,10352,10404,8940,9834,9906,9975,9977,10105,10263,10322,10406,10454,10456,10464,10495,10290,10335,10371,10325,10466,10004,10547,10167,10363,10611,9742,9497,5088,9457,9183,8521,10552,10626,9033,8219,10598,8221,10592,8264,8169,7706,222,152,255,256,257,167,254,162,168,169,252,253,250,251,159,195,155,196,246,245,248,244,188,820,202,197,189,176,175,187,199,238,191,221,192,241,179,198,239,171,201,203,182])).
% 131.11/131.79 cnf(10653,plain,
% 131.11/131.79 (P8(a2,a17,a2,a17,a3,a17,a3,a17)),
% 131.11/131.79 inference(scs_inference,[],[9954,10352,10404,8940,9834,9906,9975,9977,10105,10263,10322,10406,10454,10456,10464,10495,10290,10335,10371,10325,10466,10004,10547,10167,10363,10611,8866,9742,9497,5088,9457,9183,8521,10552,10626,9033,8219,10598,8221,10592,8264,8169,7706,222,152,255,256,257,167,254,162,168,169,252,253,250,251,159,195,155,196,246,245,248,244,188,820,202,197,189,176,175,187,199,238,191,221,192,241,179,198,239,171,201,203,182,261])).
% 131.11/131.79 cnf(10655,plain,
% 131.11/131.79 (P4(a16,a16,a16,a2)),
% 131.11/131.79 inference(scs_inference,[],[9954,10352,10404,8940,9834,9906,9975,9977,10105,10263,10322,10406,10454,10456,10464,10495,10290,10335,10371,10325,10466,10004,10547,10167,10340,10363,10611,8866,9742,9497,5088,5407,9457,9183,8521,10552,10626,9033,8219,10598,8221,10592,8264,8169,7706,222,152,255,256,257,167,254,162,168,169,252,253,250,251,159,195,155,196,246,245,248,244,188,820,202,197,189,176,175,187,199,238,191,221,192,241,179,198,239,171,201,203,182,261,234])).
% 131.11/131.79 cnf(10660,plain,
% 131.11/131.79 (P9(a3,a2,a3,a2,a3,a2,a2,a2)),
% 131.11/131.79 inference(scs_inference,[],[9954,10352,10404,8940,9834,9906,9975,9977,10105,10263,10322,10343,10406,10454,10456,10464,10495,10290,10335,10371,10325,10466,10004,10547,10191,10167,10340,10363,10611,8866,9742,9497,5088,5407,9457,9183,8521,10552,10626,9033,8219,10598,8221,10592,8264,8169,7706,222,152,255,256,257,167,254,162,168,169,252,253,250,251,159,195,155,196,246,245,248,244,188,820,202,197,189,176,175,187,199,238,191,221,192,241,179,198,239,171,201,203,182,261,234,225,260])).
% 131.11/131.79 cnf(10662,plain,
% 131.11/131.79 (P4(a1,f23(a1,a1,a1,a1,a1,a1),f23(a1,a1,a1,a1,a1,a1),f23(a1,a1,a1,a1,a1,a1))),
% 131.11/131.79 inference(scs_inference,[],[9954,10352,10404,8940,9834,9906,9975,9977,10105,10263,10322,10343,10406,10454,10456,10464,10495,10290,10216,10335,10371,10325,10466,10004,10547,10191,10167,10340,10363,10611,8866,9742,9497,5088,5407,9457,9183,8521,10552,10626,9033,8219,10598,8221,10592,8264,8169,7706,222,152,255,256,257,167,254,162,168,169,252,253,250,251,159,195,155,196,246,245,248,244,188,820,202,197,189,176,175,187,199,238,191,221,192,241,179,198,239,171,201,203,182,261,234,225,260,194])).
% 131.11/131.79 cnf(10667,plain,
% 131.11/131.79 (P7(f7(a3,a18,a2),a3,a2)),
% 131.11/131.79 inference(scs_inference,[],[9954,10352,10404,8940,9834,9906,9975,9977,10105,10263,10322,10343,10406,10454,10456,10462,10464,10495,10290,10216,10335,10371,10325,10466,10004,10547,10191,10113,9667,10167,10340,10363,10611,8866,9742,9497,5088,5407,9457,9183,9603,8521,10552,10626,9033,8219,10598,8221,10592,8264,8201,8169,7706,222,152,255,256,257,167,254,162,168,169,252,253,250,251,159,195,155,196,246,245,248,244,188,820,202,197,189,176,175,187,199,238,191,221,192,241,179,198,239,171,201,203,182,261,234,225,260,194,190,184])).
% 131.11/131.79 cnf(10672,plain,
% 131.11/131.79 (P5(a1,a2,a1,a2)),
% 131.11/131.79 inference(scs_inference,[],[9954,10352,10404,8940,9834,9906,9975,9977,10105,10263,10322,10343,10406,10454,10456,10462,10464,10495,10290,10216,10335,10371,10325,10466,10004,10547,10191,10113,9667,10167,10340,10363,10611,8866,9742,9497,9814,9790,9363,5088,5407,9457,9183,9603,8521,10552,10626,9033,8219,10598,8221,10592,4362,8264,8201,8169,7706,222,152,255,256,257,167,254,162,168,169,252,253,250,251,159,195,155,196,246,245,248,244,188,820,202,197,189,176,175,187,199,238,191,221,192,241,179,198,239,171,201,203,182,261,234,225,260,194,190,184,207,249])).
% 131.11/131.79 cnf(10679,plain,
% 131.11/131.79 (P10(a1,f6(a3,a1,a1),a2,a16)),
% 131.11/131.79 inference(scs_inference,[],[9954,10352,10404,8940,9834,9906,9975,9977,10105,10263,10322,10343,10406,10454,10456,10462,10464,10495,10290,10216,10335,10371,10325,10466,10004,10547,10191,10113,9667,10167,10340,10363,10611,8866,9742,9497,9814,9790,9363,5088,5407,9457,9183,9603,8521,10552,10626,10642,9033,8219,10598,8221,10592,4362,8264,8201,8169,7706,222,152,255,256,257,167,254,162,168,169,252,253,250,251,159,195,155,196,246,245,248,244,188,820,202,197,189,176,175,187,199,238,191,221,192,241,179,198,239,171,201,203,182,261,234,225,260,194,190,184,207,249,7723,270])).
% 131.11/131.79 cnf(10681,plain,
% 131.11/131.79 (P3(f8(a2,a17,a17,a17),a2,a2,a17)),
% 131.11/131.79 inference(scs_inference,[],[9954,10352,10404,8940,9834,9906,9975,9977,10105,10263,10322,10343,10406,10454,10456,10462,10464,10495,10290,10216,10335,10371,10325,10466,10004,10547,10191,10113,9667,10167,10340,10363,10611,8866,9742,9497,9814,9790,9363,5088,5407,9457,9183,9603,8521,10552,10626,10642,9033,8219,10598,8221,10592,4362,8264,8201,8169,7706,222,152,255,256,257,167,254,162,168,169,252,253,250,251,159,195,155,196,246,245,248,244,188,820,202,197,189,176,175,187,199,238,191,221,192,241,179,198,239,171,201,203,182,261,234,225,260,194,190,184,207,249,7723,270,185])).
% 131.11/131.79 cnf(10708,plain,
% 131.11/131.79 (P9(a1,x107081,a1,a1,x107081,x107081,x107081,a1)),
% 131.11/131.79 inference(scs_inference,[],[10564,222])).
% 131.11/131.79 cnf(10710,plain,
% 131.11/131.79 (P8(a2,a17,a17,a2,a1,a1,a17,a1)),
% 131.11/131.79 inference(scs_inference,[],[10100,10564,222,255])).
% 131.11/131.79 cnf(10712,plain,
% 131.11/131.79 (P8(a17,a2,a17,a1,a2,a17,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[10100,10564,222,255,257])).
% 131.11/131.79 cnf(10714,plain,
% 131.11/131.79 (P8(a3,a18,a3,a3,a3,a18,a3,a3)),
% 131.11/131.79 inference(scs_inference,[],[10100,10564,8990,222,255,257,256])).
% 131.11/131.79 cnf(10718,plain,
% 131.11/131.79 (P4(x107181,a1,x107181,a1)),
% 131.11/131.79 inference(scs_inference,[],[10100,10564,10572,8990,10194,222,255,257,256,152,167])).
% 131.11/131.79 cnf(10722,plain,
% 131.11/131.79 (P8(a17,a1,a1,a1,a17,a2,a2,a17)),
% 131.11/131.79 inference(scs_inference,[],[10100,10564,10572,8990,10679,10194,222,255,257,256,152,167,162,254])).
% 131.11/131.79 cnf(10724,plain,
% 131.11/131.79 (P4(a18,f15(a18,a18,a1,a18),a18,a1)),
% 131.11/131.79 inference(scs_inference,[],[10100,10564,10572,8990,10472,10679,10194,222,255,257,256,152,167,162,254,168])).
% 131.11/131.79 cnf(10726,plain,
% 131.11/131.79 (P4(a16,a16,a2,a16)),
% 131.11/131.79 inference(scs_inference,[],[10100,10564,10572,8990,10655,10472,10679,10194,222,255,257,256,152,167,162,254,168,169])).
% 131.11/131.79 cnf(10728,plain,
% 131.11/131.79 (P9(a2,a1,a16,a1,a16,a2,a16,a16)),
% 131.11/131.79 inference(scs_inference,[],[10100,10564,10572,8990,10410,10655,10472,10679,10194,222,255,257,256,152,167,162,254,168,169,252])).
% 131.11/131.79 cnf(10730,plain,
% 131.11/131.79 (P9(a1,a1,x107301,a1,a1,x107301,x107301,x107301)),
% 131.11/131.79 inference(scs_inference,[],[10100,10554,10564,10572,8990,10410,10655,10472,10679,10194,222,255,257,256,152,167,162,254,168,169,252,253])).
% 131.11/131.79 cnf(10732,plain,
% 131.11/131.79 (P9(x107321,a1,x107321,x107321,a1,a1,a1,x107321)),
% 131.11/131.79 inference(scs_inference,[],[10100,10554,10564,10572,8990,10410,10655,10472,10679,10194,222,255,257,256,152,167,162,254,168,169,252,253,250])).
% 131.11/131.79 cnf(10738,plain,
% 131.11/131.79 (P1(f13(a3,a1,a1,a2,a16),a2,a16)),
% 131.11/131.79 inference(scs_inference,[],[142,10100,10554,10564,10572,8990,9979,10410,10655,10387,10472,10679,10194,10495,222,255,257,256,152,167,162,254,168,169,252,253,250,251,156,195])).
% 131.11/131.79 cnf(10742,plain,
% 131.11/131.79 (P1(a2,a2,f21(a2,a2,a1,a2))),
% 131.11/131.79 inference(scs_inference,[],[142,10100,10554,10564,10572,8990,9979,10410,10655,10672,9707,10387,10472,10679,10194,10495,8330,222,255,257,256,152,167,162,254,168,169,252,253,250,251,156,195,153,243])).
% 131.11/131.79 cnf(10743,plain,
% 131.11/131.79 (P9(x107431,x107432,x107433,x107434,x107432,x107431,x107433,x107434)),
% 131.11/131.79 inference(rename_variables,[],[8330])).
% 131.11/131.79 cnf(10748,plain,
% 131.11/131.79 (P9(x107481,x107482,x107483,x107484,x107481,x107482,x107483,x107484)),
% 131.11/131.79 inference(rename_variables,[],[8221])).
% 131.11/131.79 cnf(10753,plain,
% 131.11/131.79 (P3(a2,a17,a17,a17)),
% 131.11/131.79 inference(scs_inference,[],[142,10100,10554,10564,10572,8990,9979,10410,10651,10655,10672,9707,10387,10472,10679,10194,10495,8330,4659,8221,10748,222,255,257,256,152,167,162,254,168,169,252,253,250,251,156,195,153,243,196,245,246,170])).
% 131.11/131.79 cnf(10756,plain,
% 131.11/131.79 (P9(x107561,x107562,x107563,x107564,x107562,x107561,x107563,x107564)),
% 131.11/131.79 inference(rename_variables,[],[8330])).
% 131.11/131.79 cnf(10759,plain,
% 131.11/131.79 (P9(x107591,x107592,x107593,x107594,x107592,x107591,x107593,x107594)),
% 131.11/131.79 inference(rename_variables,[],[8330])).
% 131.11/131.79 cnf(10762,plain,
% 131.11/131.79 (P9(x107621,x107622,x107623,x107624,x107622,x107621,x107623,x107624)),
% 131.11/131.79 inference(rename_variables,[],[8330])).
% 131.11/131.79 cnf(10770,plain,
% 131.11/131.79 (P10(f25(a3,a1,a2,a2,a1),a2,a3,a1)),
% 131.11/131.79 inference(scs_inference,[],[142,10100,10554,10564,10572,8990,9979,10410,10651,10655,10672,9707,10387,10472,10679,10194,10322,10201,10495,9890,8330,10743,10756,10759,4659,8221,10748,222,255,257,256,152,167,162,254,168,169,252,253,250,251,156,195,153,243,196,245,246,170,247,248,244,202,197,191,199])).
% 131.11/131.79 cnf(10772,plain,
% 131.11/131.79 (P2(f9(a18,a3,a2),a18,a3,a2)),
% 131.11/131.79 inference(scs_inference,[],[142,10100,10554,10564,10572,8990,9979,10410,10651,10655,10672,9707,10387,10472,10679,10194,10322,10201,8184,10187,10495,9890,8330,10743,10756,10759,4659,8221,10748,222,255,257,256,152,167,162,254,168,169,252,253,250,251,156,195,153,243,196,245,246,170,247,248,244,202,197,191,199,189])).
% 131.11/131.79 cnf(10775,plain,
% 131.11/131.79 (P3(x107751,x107752,x107752,x107751)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(10778,plain,
% 131.11/131.79 (P3(x107781,x107782,x107782,x107781)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(10782,plain,
% 131.11/131.79 (P5(a3,a2,a2,a17)),
% 131.11/131.79 inference(scs_inference,[],[142,10100,10554,10564,10572,8990,9979,10107,10410,10651,10655,10672,9707,10387,10472,10679,10194,8530,10322,10201,8184,10187,10495,9890,8330,10743,10756,10759,4659,8221,10748,8396,10775,222,255,257,256,152,167,162,254,168,169,252,253,250,251,156,195,153,243,196,245,246,170,247,248,244,202,197,191,199,189,186,174,221,241])).
% 131.11/131.79 cnf(10786,plain,
% 131.11/131.79 (P3(a1,a1,a2,a2)),
% 131.11/131.79 inference(scs_inference,[],[142,10100,10554,10564,10572,8990,9979,10107,10410,10651,10655,10672,9707,10387,10472,10679,10194,8530,10322,10201,8184,10187,10495,9890,8330,10743,10756,10759,4659,8221,10748,8396,10775,222,255,257,256,152,167,162,254,168,169,252,253,250,251,156,195,153,243,196,245,246,170,247,248,244,202,197,191,199,189,186,174,221,241,192,179])).
% 131.11/131.79 cnf(10792,plain,
% 131.11/131.79 (P3(a1,a1,a1,f23(a2,a16,a2,a16,a1,a1))),
% 131.11/131.79 inference(scs_inference,[],[142,10100,10554,10564,10572,8990,9979,10107,10410,10651,10655,10672,9641,9707,10387,10472,10679,10194,8530,10322,10335,10201,8184,10187,10495,9890,9247,8330,10743,10756,10759,4659,10456,8221,10748,8396,10775,222,255,257,256,152,167,162,254,168,169,252,253,250,251,156,195,153,243,196,245,246,170,247,248,244,202,197,191,199,189,186,174,221,241,192,179,198,171,239])).
% 131.11/131.79 cnf(10796,plain,
% 131.11/131.79 (P7(f23(a18,a2,a18,a2,a18,a18),a18,a2)),
% 131.11/131.79 inference(scs_inference,[],[142,10100,10554,10564,10572,8990,9979,10107,10410,10651,10655,10672,9641,9707,10387,10472,10679,10194,8530,10322,10335,10201,8184,10187,10495,9890,9247,8330,10743,10756,10759,4659,10456,8221,10748,8396,10775,222,255,257,256,152,167,162,254,168,169,252,253,250,251,156,195,153,243,196,245,246,170,247,248,244,202,197,191,199,189,186,174,221,241,192,179,198,171,239,201])).
% 131.11/131.79 cnf(10800,plain,
% 131.11/131.79 (P2(a1,a2,a2,a2)),
% 131.11/131.79 inference(scs_inference,[],[142,10100,10554,10564,10572,8990,9979,10107,10410,10651,10655,10672,9641,9707,10387,10472,10679,10194,8530,10322,10335,10201,8184,9107,10187,10495,9890,9247,8330,10743,10756,10759,4659,10456,8221,10748,8396,10775,222,255,257,256,152,167,162,254,168,169,252,253,250,251,156,195,153,243,196,245,246,170,247,248,244,202,197,191,199,189,186,174,221,241,192,179,198,171,239,201,203,182])).
% 131.11/131.79 cnf(10802,plain,
% 131.11/131.79 (P4(a18,f22(a18,a18,a1,a18),a18,a18)),
% 131.11/131.79 inference(scs_inference,[],[142,10100,10554,10564,10572,8990,9979,10107,10410,10651,10655,10672,9641,9707,10387,10472,10679,10194,8530,10322,10335,10201,8184,9107,10187,10495,9890,9247,8330,10743,10756,10759,10762,4659,10456,8221,10748,8396,10775,222,255,257,256,152,167,162,254,168,169,252,253,250,251,156,195,153,243,196,245,246,170,247,248,244,202,197,191,199,189,186,174,221,241,192,179,198,171,239,201,203,182,234])).
% 131.11/131.79 cnf(10807,plain,
% 131.11/131.79 (P9(a1,a2,a2,a16,a1,a16,a16,a16)),
% 131.11/131.79 inference(scs_inference,[],[142,10100,10554,10564,10572,8990,9979,10107,10410,10574,10651,10655,10672,9641,9707,10387,10037,10472,10679,10194,8530,10322,10335,10201,8184,9107,10187,10495,9890,9247,8712,8330,10743,10756,10759,10762,4659,10456,8221,10748,8396,10775,222,255,257,256,152,167,162,254,168,169,252,253,250,251,156,195,153,243,196,245,246,170,247,248,244,202,197,191,199,189,186,174,221,241,192,179,198,171,239,201,203,182,234,225,260])).
% 131.11/131.79 cnf(10810,plain,
% 131.11/131.79 (P7(f7(a18,a2,a2),a18,a2)),
% 131.11/131.79 inference(scs_inference,[],[142,10100,10554,10564,10572,8990,9979,10107,10410,10574,10641,10651,10655,10672,9641,9707,10387,10037,10472,10679,9969,10194,8530,10322,10335,10201,8184,9107,10187,10495,9890,9247,8712,8330,10743,10756,10759,10762,4659,10456,8221,10748,8396,10775,8264,222,255,257,256,152,167,162,254,168,169,252,253,250,251,156,195,153,243,196,245,246,170,247,248,244,202,197,191,199,189,186,174,221,241,192,179,198,171,239,201,203,182,234,225,260,184])).
% 131.11/131.79 cnf(10815,plain,
% 131.11/131.79 (P5(a16,a1,a16,a1)),
% 131.11/131.79 inference(scs_inference,[],[142,10100,10554,10564,10572,8990,9979,10107,10410,10574,10587,10641,10651,10655,10672,9641,9707,10387,10037,10472,10679,9969,10194,9131,8530,10322,10335,9957,10201,8515,8184,9107,6790,10187,10495,9890,10253,9247,8712,8330,10743,10756,10759,10762,4659,10456,8221,10748,8396,10775,8264,222,255,257,256,152,167,162,254,168,169,252,253,250,251,156,195,153,243,196,245,246,170,247,248,244,202,197,191,199,189,186,174,221,241,192,179,198,171,239,201,203,182,234,225,260,184,207,249])).
% 131.11/131.79 cnf(10817,plain,
% 131.11/131.79 (P3(f8(a2,a2,a2,a1),a2,a2,a1)),
% 131.11/131.79 inference(scs_inference,[],[142,10100,10554,10564,10572,8990,9979,10107,10410,10574,10587,10641,10651,10655,10672,9641,9707,10387,10037,10472,10679,9969,10194,9131,8530,10322,10335,9957,10201,8515,8184,9107,6790,10187,10495,9890,10253,9247,8712,8330,10743,10756,10759,10762,4659,10456,8221,10748,8396,10775,8264,222,255,257,256,152,167,162,254,168,169,252,253,250,251,156,195,153,243,196,245,246,170,247,248,244,202,197,191,199,189,186,174,221,241,192,179,198,171,239,201,203,182,234,225,260,184,207,249,185])).
% 131.11/131.79 cnf(10822,plain,
% 131.11/131.79 (P3(x108221,x108222,x108222,x108221)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(10825,plain,
% 131.11/131.79 (P3(x108251,x108252,x108252,x108251)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(10828,plain,
% 131.11/131.79 (P3(x108281,x108282,x108282,x108281)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(10833,plain,
% 131.11/131.79 (P3(a1,a1,a1,a2)),
% 131.11/131.79 inference(scs_inference,[],[142,10100,10554,10564,10572,8990,9979,10107,10410,10574,10587,10641,10651,10655,10672,9641,9707,10387,10037,10472,10679,9969,10194,9131,8530,10322,10335,9957,10201,8515,8184,373,9107,6790,10187,10495,10119,9890,10253,9247,8712,8330,10743,10756,10759,10762,4659,10456,9784,8221,10748,8396,10775,10778,10822,10825,10828,8264,222,255,257,256,152,167,162,254,168,169,252,253,250,251,156,195,153,243,196,245,246,170,247,248,244,202,197,191,199,189,186,174,221,241,192,179,198,171,239,201,203,182,234,225,260,184,207,249,185,232,188,175,176,187,193])).
% 131.11/131.79 cnf(10839,plain,
% 131.11/131.79 (P5(a18,f7(a18,a18,a3),a2,f7(a18,a18,a3))),
% 131.11/131.79 inference(scs_inference,[],[142,10100,10554,10564,10572,8990,9979,10107,10410,10574,10587,10641,10651,10655,10672,9641,9707,10387,10037,10472,10679,9969,10194,9131,8530,10322,10335,9957,10201,8515,8184,373,9107,6790,10187,10495,10119,9890,10253,9247,8712,8330,10743,10756,10759,10762,4659,10456,9784,8221,10748,8396,10775,10778,10822,10825,10828,8264,222,255,257,256,152,167,162,254,168,169,252,253,250,251,156,195,153,243,196,245,246,170,247,248,244,202,197,191,199,189,186,174,221,241,192,179,198,171,239,201,203,182,234,225,260,184,207,249,185,232,188,175,176,187,193,206,172])).
% 131.11/131.79 cnf(10843,plain,
% 131.11/131.79 (P9(x108431,x108431,x108431,a1,a1,x108431,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[10718,222])).
% 131.11/131.79 cnf(10845,plain,
% 131.11/131.79 (P8(a16,a3,a16,a16,a3,a16,a16,a16)),
% 131.11/131.79 inference(scs_inference,[],[10718,9016,222,256])).
% 131.11/131.79 cnf(10847,plain,
% 131.11/131.79 (P7(f23(a18,a2,a18,a2,a18,a18),a2,a18)),
% 131.11/131.79 inference(scs_inference,[],[10718,9016,10796,222,256,152])).
% 131.11/131.79 cnf(10849,plain,
% 131.11/131.79 (P8(a3,a16,a16,a1,a3,a3,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[10529,10718,9016,10796,222,256,152,257])).
% 131.11/131.79 cnf(10853,plain,
% 131.11/131.79 (P8(a3,a3,a3,a16,a1,a1,a16,a1)),
% 131.11/131.79 inference(scs_inference,[],[10529,10718,9016,10570,10796,222,256,152,257,167,255])).
% 131.11/131.79 cnf(10857,plain,
% 131.11/131.79 (P8(a16,a1,a1,a1,a3,a16,a3,a3)),
% 131.11/131.79 inference(scs_inference,[],[10529,10718,9016,10570,10796,9172,222,256,152,257,167,255,162,254])).
% 131.11/131.79 cnf(10859,plain,
% 131.11/131.79 (P4(x108591,x108591,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[10529,10718,9016,10570,10796,9172,222,256,152,257,167,255,162,254,168])).
% 131.11/131.79 cnf(10861,plain,
% 131.11/131.79 (P4(x108611,x108611,x108611,f21(x108611,x108611,x108611,x108611))),
% 131.11/131.79 inference(scs_inference,[],[10529,10718,9016,10570,10261,10796,9172,222,256,152,257,167,255,162,254,168,169])).
% 131.11/131.79 cnf(10863,plain,
% 131.11/131.79 (P9(x108631,a1,a1,a1,x108631,x108631,x108631,a1)),
% 131.11/131.79 inference(scs_inference,[],[10529,10708,10718,9016,10570,10261,10796,9172,222,256,152,257,167,255,162,254,168,169,252])).
% 131.11/131.79 cnf(10865,plain,
% 131.11/131.79 (P9(a16,a2,a16,a16,a1,a2,a16,a1)),
% 131.11/131.79 inference(scs_inference,[],[10529,10414,10708,10718,9016,10570,10261,10796,9172,222,256,152,257,167,255,162,254,168,169,252,253])).
% 131.11/131.79 cnf(10869,plain,
% 131.11/131.79 (P9(x108691,a1,a1,a1,x108691,x108691,a1,x108691)),
% 131.11/131.79 inference(scs_inference,[],[10529,10267,10414,10708,10730,10718,9016,10570,10261,10796,9172,222,256,152,257,167,255,162,254,168,169,252,253,250,251])).
% 131.11/131.79 cnf(10873,plain,
% 131.11/131.79 (P1(a1,a1,f21(a1,a1,a16,a1))),
% 131.11/131.79 inference(scs_inference,[],[10529,10267,10414,10708,10730,10718,9016,10570,10815,10833,10261,10796,9172,6747,8219,222,256,152,257,167,255,162,254,168,169,252,253,250,251,195,243])).
% 131.11/131.79 cnf(10874,plain,
% 131.11/131.79 (P9(x108741,x108742,x108742,x108741,x108743,x108744,x108743,x108744)),
% 131.11/131.79 inference(rename_variables,[],[8219])).
% 131.11/131.79 cnf(10876,plain,
% 131.11/131.79 (P1(f15(a2,a3,a2,a3),a2,a3)),
% 131.11/131.79 inference(scs_inference,[],[10529,10267,10414,10708,10730,10718,9016,10570,10660,10815,10833,10261,10796,9172,6747,8219,8396,222,256,152,257,167,255,162,254,168,169,252,253,250,251,195,243,246])).
% 131.11/131.79 cnf(10877,plain,
% 131.11/131.79 (P3(x108771,x108772,x108772,x108771)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(10882,plain,
% 131.11/131.79 (P9(x108821,x108822,x108821,x108822,x108823,x108824,x108823,x108824)),
% 131.11/131.79 inference(rename_variables,[],[8174])).
% 131.11/131.79 cnf(10885,plain,
% 131.11/131.79 (P9(x108851,x108852,x108852,x108851,x108853,x108854,x108853,x108854)),
% 131.11/131.79 inference(rename_variables,[],[8219])).
% 131.11/131.79 cnf(10888,plain,
% 131.11/131.79 (P9(x108881,x108882,x108882,x108881,x108883,x108884,x108883,x108884)),
% 131.11/131.79 inference(rename_variables,[],[8219])).
% 131.11/131.79 cnf(10894,plain,
% 131.11/131.79 (P3(x108941,x108942,x108942,x108941)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(10902,plain,
% 131.11/131.79 (P3(x109021,x109022,x109022,x109021)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(10905,plain,
% 131.11/131.79 (P3(x109051,x109052,x109052,x109051)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(10908,plain,
% 131.11/131.79 (P3(x109081,x109082,x109082,x109081)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(10918,plain,
% 131.11/131.79 (P5(a2,x109181,a2,x109181)),
% 131.11/131.79 inference(rename_variables,[],[10014])).
% 131.11/131.79 cnf(10920,plain,
% 131.11/131.79 (P1(a2,a17,f4(a2,a17,a17))),
% 131.11/131.79 inference(scs_inference,[],[10529,10753,10267,10414,10708,10730,10718,9016,10570,10660,10726,10786,10815,10833,10261,10796,10647,9172,9539,10454,6747,10014,8219,10874,10885,10888,8174,8396,10877,10894,10902,10905,10908,8169,222,256,152,257,167,255,162,254,168,169,252,253,250,251,195,243,246,196,245,248,247,820,188,244,202,175,187,189,176,199,197,191,174])).
% 131.11/131.79 cnf(10924,plain,
% 131.11/131.79 (P5(a17,a2,a17,f4(a2,a17,a17))),
% 131.11/131.79 inference(scs_inference,[],[10529,10753,10267,10414,10708,10730,10718,9016,10570,10660,10726,10786,10815,10833,10261,10556,10796,10647,9172,9539,10454,6747,10014,8219,10874,10885,10888,8174,8396,10877,10894,10902,10905,10908,8169,222,256,152,257,167,255,162,254,168,169,252,253,250,251,195,243,246,196,245,248,247,820,188,244,202,175,187,189,176,199,197,191,174,221,186])).
% 131.11/131.79 cnf(10926,plain,
% 131.11/131.79 (P5(a17,a1,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[10529,10753,10267,10414,10708,10730,10718,9016,10566,10570,10660,10726,10786,10815,10833,10261,10556,10796,10647,9172,9539,10454,6747,10014,10918,8219,10874,10885,10888,8174,8396,10877,10894,10902,10905,10908,8169,222,256,152,257,167,255,162,254,168,169,252,253,250,251,195,243,246,196,245,248,247,820,188,244,202,175,187,189,176,199,197,191,174,221,186,241])).
% 131.11/131.79 cnf(10927,plain,
% 131.11/131.79 (P5(a2,x109271,a2,x109271)),
% 131.11/131.79 inference(rename_variables,[],[10014])).
% 131.11/131.79 cnf(10930,plain,
% 131.11/131.79 (P5(a2,x109301,a2,x109301)),
% 131.11/131.79 inference(rename_variables,[],[10014])).
% 131.11/131.79 cnf(10932,plain,
% 131.11/131.79 (P3(a16,a16,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[10529,10753,10267,10414,10708,10730,10718,9016,10566,10570,10660,10726,10786,10815,10833,10261,10556,10796,10647,9172,9539,10454,6747,10014,10918,10927,8219,10874,10885,10888,8174,8396,10877,10894,10902,10905,10908,8169,222,256,152,257,167,255,162,254,168,169,252,253,250,251,195,243,246,196,245,248,247,820,188,244,202,175,187,189,176,199,197,191,174,221,186,241,192,179])).
% 131.11/131.79 cnf(10939,plain,
% 131.11/131.79 (P3(a2,a1,a2,a2)),
% 131.11/131.79 inference(scs_inference,[],[10529,10753,10267,10414,10708,10730,10732,10718,9016,10566,10570,10660,10726,10786,10815,10833,10261,10556,9223,10796,10647,9172,9539,10454,6747,10014,10918,10927,10930,8219,10874,10885,10888,8174,8396,10877,10894,10902,10905,10908,8169,222,256,152,257,167,255,162,254,168,169,252,253,250,251,195,243,246,196,245,248,247,820,188,244,202,175,187,189,176,199,197,191,174,221,186,241,192,179,171,198,239])).
% 131.11/131.79 cnf(10940,plain,
% 131.11/131.79 (P9(x109401,a1,x109401,x109401,a1,a1,a1,x109401)),
% 131.11/131.79 inference(rename_variables,[],[10732])).
% 131.11/131.79 cnf(10942,plain,
% 131.11/131.79 (P7(f23(a3,a17,a3,a17,a3,a3),a3,a17)),
% 131.11/131.79 inference(scs_inference,[],[10529,10753,10267,10414,10708,10730,10732,10718,9016,10566,10570,10660,10726,10786,10815,10833,10261,10556,9223,10796,10647,9172,9539,10454,6747,10014,10918,10927,10930,8219,10874,10885,10888,8174,8396,10877,10894,10902,10905,10908,8169,222,256,152,257,167,255,162,254,168,169,252,253,250,251,195,243,246,196,245,248,247,820,188,244,202,175,187,189,176,199,197,191,174,221,186,241,192,179,171,198,239,201])).
% 131.11/131.79 cnf(10944,plain,
% 131.11/131.79 (P2(a16,a1,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[10529,10753,10267,10414,10708,10730,10732,10718,9016,10566,10570,10660,10726,10786,10815,10833,10261,10556,9223,10796,10647,9172,9539,10454,6747,10014,10918,10927,10930,8219,10874,10885,10888,8174,8396,10877,10894,10902,10905,10908,8169,222,256,152,257,167,255,162,254,168,169,252,253,250,251,195,243,246,196,245,248,247,820,188,244,202,175,187,189,176,199,197,191,174,221,186,241,192,179,171,198,239,201,182])).
% 131.11/131.79 cnf(10951,plain,
% 131.11/131.79 (P9(a2,a1,a16,a2,a1,a1,a1,a16)),
% 131.11/131.79 inference(scs_inference,[],[10529,10753,10267,10414,10708,10730,10732,10940,10718,9016,10408,10566,10570,10660,10726,10786,10800,10815,10833,10261,10556,9223,10582,10796,10647,9172,9539,10454,6747,10014,10918,10927,10930,4728,8519,8219,10874,10885,10888,8174,8396,10877,10894,10902,10905,10908,8169,222,256,152,257,167,255,162,254,168,169,252,253,250,251,195,243,246,196,245,248,247,820,188,244,202,175,187,189,176,199,197,191,174,221,186,241,192,179,171,198,239,201,182,234,225,260])).
% 131.11/131.79 cnf(10954,plain,
% 131.11/131.79 (P3(a16,a16,a16,a1)),
% 131.11/131.79 inference(scs_inference,[],[10529,10753,10267,10414,10708,10730,10732,10940,10718,9016,10408,10566,10570,10660,10726,10786,10800,10815,10833,10261,10556,9223,10582,10796,10647,9172,10263,9539,10454,6747,10014,10918,10927,10930,4728,8519,8219,10874,10885,10888,9784,8174,8396,10877,10894,10902,10905,10908,8169,222,256,152,257,167,255,162,254,168,169,252,253,250,251,195,243,246,196,245,248,247,820,188,244,202,175,187,189,176,199,197,191,174,221,186,241,192,179,171,198,239,201,182,234,225,260,193])).
% 131.11/131.79 cnf(10957,plain,
% 131.11/131.79 (P7(f7(a1,a1,a2),a1,a2)),
% 131.11/131.79 inference(scs_inference,[],[10529,10753,10267,10414,10708,10730,10732,10940,10718,9016,10408,10566,10570,10660,10726,10786,10800,10815,10833,10261,10556,9223,10582,10796,10647,9172,10057,10263,9539,10454,6747,10014,10918,10927,10930,4728,8519,8219,10874,10885,10888,9784,8174,8396,10877,10894,10902,10905,10908,8264,8169,222,256,152,257,167,255,162,254,168,169,252,253,250,251,195,243,246,196,245,248,247,820,188,244,202,175,187,189,176,199,197,191,174,221,186,241,192,179,171,198,239,201,182,234,225,260,193,184])).
% 131.11/131.79 cnf(10962,plain,
% 131.11/131.79 (P10(x109621,x109622,x109622,x109621)),
% 131.11/131.79 inference(rename_variables,[],[8201])).
% 131.11/131.79 cnf(10967,plain,
% 131.11/131.79 (P5(a18,a18,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[10529,10753,10267,10414,10708,10730,10732,10940,10718,9016,10408,10566,10570,10660,10726,10786,10800,10815,10833,10261,10556,9223,10582,10796,10647,9172,10057,10263,10472,9539,4851,10454,6747,10014,10918,10927,10930,4728,8519,8219,10874,10885,10888,9784,8174,10882,8396,10877,10894,10902,10905,10908,8264,8201,10962,8169,222,256,152,257,167,255,162,254,168,169,252,253,250,251,195,243,246,196,245,248,247,820,188,244,202,175,187,189,176,199,197,191,174,221,186,241,192,179,171,198,239,201,182,234,225,260,193,184,205,204,249])).
% 131.11/131.79 cnf(10970,plain,
% 131.11/131.79 (P3(f8(a1,a1,a1,a16),a1,a1,a16)),
% 131.11/131.79 inference(scs_inference,[],[10529,10753,10267,10414,10708,10730,10732,10940,10718,9016,10408,10566,10570,10660,10726,10786,10800,10815,10833,10261,10556,9223,10582,10796,10647,9172,10057,10263,10472,9539,4851,10454,6747,10014,10918,10927,10930,4728,8519,8219,10874,10885,10888,9784,8174,10882,8396,10877,10894,10902,10905,10908,8264,8201,10962,8169,222,256,152,257,167,255,162,254,168,169,252,253,250,251,195,243,246,196,245,248,247,820,188,244,202,175,187,189,176,199,197,191,174,221,186,241,192,179,171,198,239,201,182,234,225,260,193,184,205,204,249,185])).
% 131.11/131.79 cnf(10985,plain,
% 131.11/131.79 (P4(f25(a3,a3,a2,a3,a3),a2,f25(a3,a3,a2,a3,a3),f25(a3,a3,a2,a3,a3))),
% 131.11/131.79 inference(scs_inference,[],[10489,10724,222,167])).
% 131.11/131.79 cnf(10991,plain,
% 131.11/131.79 (P8(a16,a2,a16,a1,a2,a16,a16,a1)),
% 131.11/131.79 inference(scs_inference,[],[8513,9154,10667,10489,10724,222,167,257,152,256])).
% 131.11/131.79 cnf(10993,plain,
% 131.11/131.79 (P8(a3,a3,a3,a2,a2,a2,a2,a2)),
% 131.11/131.79 inference(scs_inference,[],[8513,8700,9154,10667,10489,10724,222,167,257,152,256,255])).
% 131.11/131.79 cnf(10999,plain,
% 131.11/131.79 (P8(a2,a2,a2,a2,a3,a2,a3,a3)),
% 131.11/131.79 inference(scs_inference,[],[8513,8700,9154,10667,10489,10724,10802,10007,222,167,257,152,256,255,162,168,254])).
% 131.11/131.79 cnf(11001,plain,
% 131.11/131.79 (P4(a18,f15(a18,a18,a1,a18),a1,a18)),
% 131.11/131.79 inference(scs_inference,[],[8513,8700,9154,10667,10489,10724,10802,10007,222,167,257,152,256,255,162,168,254,169])).
% 131.11/131.79 cnf(11003,plain,
% 131.11/131.79 (P9(a1,x110031,a1,a1,x110031,x110031,a1,x110031)),
% 131.11/131.79 inference(scs_inference,[],[10869,8513,8700,9154,10667,10489,10724,10802,10007,222,167,257,152,256,255,162,168,254,169,252])).
% 131.11/131.79 cnf(11005,plain,
% 131.11/131.79 (P9(a2,a16,a16,a16,a1,a2,a16,a1)),
% 131.11/131.79 inference(scs_inference,[],[10127,10869,8513,8700,9154,10667,10489,10724,10802,10007,222,167,257,152,256,255,162,168,254,169,252,253])).
% 131.11/131.79 cnf(11007,plain,
% 131.11/131.79 (P9(a3,a2,a2,a2,a18,a3,a18,a2)),
% 131.11/131.79 inference(scs_inference,[],[10127,10576,10869,8513,8700,9154,10667,10489,10724,10802,10007,222,167,257,152,256,255,162,168,254,169,252,253,250])).
% 131.11/131.79 cnf(11009,plain,
% 131.11/131.79 (P9(a1,a1,x110091,a1,x110091,a1,x110091,x110091)),
% 131.11/131.79 inference(scs_inference,[],[10127,10576,10863,10869,8513,8700,9154,10667,10489,10724,10802,10007,222,167,257,152,256,255,162,168,254,169,252,253,250,251])).
% 131.11/131.79 cnf(11015,plain,
% 131.11/131.79 (P1(f13(a16,a1,a16,a2,a16),a2,a16)),
% 131.11/131.79 inference(scs_inference,[],[142,9508,10127,10576,10863,10869,8513,8700,9154,10954,10331,10667,10610,10489,10724,10802,10007,8901,222,167,257,152,256,255,162,168,254,169,252,253,250,251,181,177,195])).
% 131.11/131.79 cnf(11017,plain,
% 131.11/131.79 (P4(x110171,x110171,x110171,x110171)),
% 131.11/131.79 inference(scs_inference,[],[142,9508,10127,10576,10863,10869,8513,8700,9154,10954,10257,10331,10667,10610,10489,10724,10802,10007,8901,222,167,257,152,256,255,162,168,254,169,252,253,250,251,181,177,195,183])).
% 131.11/131.79 cnf(11019,plain,
% 131.11/131.79 (P3(f13(a16,a1,a16,a2,a16),a16,a2,a16)),
% 131.11/131.79 inference(scs_inference,[],[142,9508,10127,10576,10863,10869,8513,8700,9154,10954,10257,10331,10667,10610,10489,10724,10802,10007,8901,222,167,257,152,256,255,162,168,254,169,252,253,250,251,181,177,195,183,196])).
% 131.11/131.79 cnf(11025,plain,
% 131.11/131.79 (P3(x110251,x110252,x110252,x110251)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(11028,plain,
% 131.11/131.79 (P3(x110281,x110282,x110282,x110281)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(11030,plain,
% 131.11/131.79 (P10(a1,a16,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[142,9508,10127,10576,10863,10869,8513,8700,9154,10932,10944,10954,10257,10331,10667,10610,10489,10724,10802,10007,8901,10753,8221,8396,11025,8201,222,167,257,152,256,255,162,168,254,169,252,253,250,251,181,177,195,183,196,246,227,188,238])).
% 131.11/131.79 cnf(11031,plain,
% 131.11/131.79 (P10(x110311,x110312,x110312,x110311)),
% 131.11/131.79 inference(rename_variables,[],[8201])).
% 131.11/131.79 cnf(11035,plain,
% 131.11/131.79 (P2(f9(a16,a1,a16),a16,a1,a16)),
% 131.11/131.79 inference(scs_inference,[],[142,9508,10127,10576,10863,10869,8513,8700,9154,10932,10944,10954,10257,10331,10667,10610,10489,10724,10802,10007,8901,10718,9497,10753,8221,8396,11025,8201,222,167,257,152,256,255,162,168,254,169,252,253,250,251,181,177,195,183,196,246,227,188,238,202,189])).
% 131.11/131.79 cnf(11039,plain,
% 131.11/131.79 (P3(x110391,x110392,x110392,x110391)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(11042,plain,
% 131.11/131.79 (P3(x110421,x110422,x110422,x110421)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(11045,plain,
% 131.11/131.79 (P3(x110451,x110452,x110452,x110451)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(11048,plain,
% 131.11/131.79 (P3(x110481,x110482,x110482,x110481)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(11064,plain,
% 131.11/131.79 (P3(a17,a1,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[142,9508,10127,10576,10863,10869,8513,8700,8870,9154,10926,10932,10944,10954,10257,10331,10667,10610,10489,10245,10724,10802,10007,8901,10718,9497,10815,10201,10753,8221,8396,11025,11028,11039,11042,11045,11048,8201,222,167,257,152,256,255,162,168,254,169,252,253,250,251,181,177,195,183,196,246,227,188,238,202,189,175,176,186,174,187,241,191,221,192,171,179])).
% 131.11/131.79 cnf(11066,plain,
% 131.11/131.79 (P3(a2,a18,a18,a3)),
% 131.11/131.79 inference(scs_inference,[],[142,9508,10125,10127,10576,10863,10869,8513,8700,8870,9154,10926,10932,10944,10954,10257,10331,10667,10610,10489,10245,10724,10802,10007,8901,10718,9497,10815,10201,10753,8221,9734,8396,11025,11028,11039,11042,11045,11048,8201,222,167,257,152,256,255,162,168,254,169,252,253,250,251,181,177,195,183,196,246,227,188,238,202,189,175,176,186,174,187,241,191,221,192,171,179,239])).
% 131.11/131.79 cnf(11070,plain,
% 131.11/131.79 (P7(f23(a18,a18,a18,a18,a18,a18),a18,a18)),
% 131.11/131.79 inference(scs_inference,[],[142,9508,10125,10127,10576,10863,10869,8513,8700,8870,9154,10926,10932,10944,10954,10257,10331,9869,10667,10610,10489,10245,10724,10802,10007,8901,10718,9629,9497,10815,10201,10753,8221,9734,8396,11025,11028,11039,11042,11045,11048,8201,222,167,257,152,256,255,162,168,254,169,252,253,250,251,181,177,195,183,196,246,227,188,238,202,189,175,176,186,174,187,241,191,221,192,171,179,239,182,201])).
% 131.11/131.79 cnf(11072,plain,
% 131.11/131.79 (P10(a16,a16,a1,f23(a2,a16,a2,a16,a1,a1))),
% 131.11/131.79 inference(scs_inference,[],[142,9508,10125,10127,10576,10863,10869,8513,8700,8870,9154,10926,10932,10944,10954,10257,10331,9869,10667,10610,10489,10245,10724,10802,10792,10007,8901,10718,9629,9497,10815,10201,10753,8221,9734,8396,11025,11028,11039,11042,11045,11048,8201,222,167,257,152,256,255,162,168,254,169,252,253,250,251,181,177,195,183,196,246,227,188,238,202,189,175,176,186,174,187,241,191,221,192,171,179,239,182,201,178])).
% 131.11/131.79 cnf(11074,plain,
% 131.11/131.79 (P4(a3,a3,f5(a2,a3,a2),a2)),
% 131.11/131.79 inference(scs_inference,[],[142,9508,10125,10127,10576,10863,10869,8513,8700,8870,9154,10926,10932,10944,10954,10257,9871,10331,9869,10667,10610,10489,10245,10724,10802,10792,10007,8901,10718,9629,9497,10815,10201,10753,8221,9734,8174,8396,11025,11028,11039,11042,11045,11048,8201,222,167,257,152,256,255,162,168,254,169,252,253,250,251,181,177,195,183,196,246,227,188,238,202,189,175,176,186,174,187,241,191,221,192,171,179,239,182,201,178,234])).
% 131.11/131.79 cnf(11078,plain,
% 131.11/131.79 (P7(f19(x110781,x110782),x110782,x110781)),
% 131.11/131.79 inference(rename_variables,[],[10113])).
% 131.11/131.79 cnf(11080,plain,
% 131.11/131.79 (P9(a2,a16,a1,a2,a1,a16,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[142,9508,10125,10127,10576,10843,10863,10869,8513,8700,8870,9154,10926,10932,10944,10954,10257,9871,10331,9869,10667,10610,10489,10245,10724,10802,10792,10007,10113,8901,10718,9629,9497,10815,10201,10753,8221,9734,8174,8396,11025,11028,11039,11042,11045,11048,8201,222,167,257,152,256,255,162,168,254,169,252,253,250,251,181,177,195,183,196,246,227,188,238,202,189,175,176,186,174,187,241,191,221,192,171,179,239,182,201,178,234,225,260])).
% 131.11/131.79 cnf(11087,plain,
% 131.11/131.79 (P3(f21(a2,a2,a2,a2),a2,a2,a2)),
% 131.11/131.79 inference(scs_inference,[],[142,9508,10125,10127,10576,10843,10863,10869,8513,8700,8870,9154,10926,10932,10944,10954,10257,9871,10331,9869,10667,10610,10489,10245,10724,10802,10792,10007,10261,10113,11078,8901,10718,9629,9814,9497,10815,10201,10014,10753,8221,9784,9734,8174,8396,11025,11028,11039,11042,11045,11048,8201,222,167,257,152,256,255,162,168,254,169,252,253,250,251,181,177,195,183,196,246,227,188,238,202,189,175,176,186,174,187,241,191,221,192,171,179,239,182,201,178,234,225,260,190,193])).
% 131.11/131.79 cnf(11092,plain,
% 131.11/131.79 (P7(f7(a2,a1,a2),a2,a2)),
% 131.11/131.79 inference(scs_inference,[],[142,9508,10125,10127,10576,10843,10863,10869,8513,8700,8870,9154,10926,10932,10939,10944,10954,10257,9871,10331,9869,10667,10610,10489,10245,10724,10802,10792,10007,10957,10261,10113,11078,8901,10718,9629,9814,9497,10815,10201,10014,10161,10753,8221,9784,9734,8174,8396,11025,11028,11039,11042,11045,11048,8201,222,167,257,152,256,255,162,168,254,169,252,253,250,251,181,177,195,183,196,246,227,188,238,202,189,175,176,186,174,187,241,191,221,192,171,179,239,182,201,178,234,225,260,190,193,184])).
% 131.11/131.79 cnf(11095,plain,
% 131.11/131.79 (P7(f23(a3,a17,a3,a17,a3,a3),a17,a3)),
% 131.11/131.79 inference(scs_inference,[],[142,9508,10125,10127,10576,10843,10863,10869,8513,8700,8870,9154,10926,10932,10939,10944,10954,10257,9871,10331,9869,10667,10610,10489,10245,10942,10724,10802,10792,10007,10957,9691,10261,10113,11078,8901,10718,9629,9814,9497,10815,10201,10014,10161,10753,8221,9784,9734,8174,8396,11025,11028,11039,11042,11045,11048,8201,11031,222,167,257,152,256,255,162,168,254,169,252,253,250,251,181,177,195,183,196,246,227,188,238,202,189,175,176,186,174,187,241,191,221,192,171,179,239,182,201,178,234,225,260,190,193,184,173])).
% 131.11/131.79 cnf(11132,plain,
% 131.11/131.79 (P4(f23(a1,a1,a1,a1,a1,a1),a1,f23(a1,a1,a1,a1,a1,a1),f23(a1,a1,a1,a1,a1,a1))),
% 131.11/131.79 inference(scs_inference,[],[10662,11001,222,167])).
% 131.11/131.79 cnf(11134,plain,
% 131.11/131.79 (P8(a16,a16,a16,a16,a16,a1,a16,a1)),
% 131.11/131.79 inference(scs_inference,[],[8964,10662,11001,222,167,257])).
% 131.11/131.79 cnf(11136,plain,
% 131.11/131.79 (P7(f7(a3,a3,a2),a2,a3)),
% 131.11/131.79 inference(scs_inference,[],[8964,10662,11001,10500,222,167,257,152])).
% 131.11/131.79 cnf(11138,plain,
% 131.11/131.79 (P8(a3,a1,a3,a1,a17,a17,a3,a17)),
% 131.11/131.79 inference(scs_inference,[],[8964,9253,10662,11001,10500,222,167,257,152,256])).
% 131.11/131.79 cnf(11140,plain,
% 131.11/131.79 (P8(a16,a1,a16,a16,a16,a1,a16,a16)),
% 131.11/131.79 inference(scs_inference,[],[8964,9253,10662,11001,10500,222,167,257,152,256,255])).
% 131.11/131.79 cnf(11142,plain,
% 131.11/131.79 (P10(a16,a16,f23(a2,a16,a2,a16,a1,a1),a1)),
% 131.11/131.79 inference(scs_inference,[],[8964,9253,10662,11072,11001,10500,222,167,257,152,256,255,162])).
% 131.11/131.79 cnf(11144,plain,
% 131.11/131.79 (P4(f25(a3,a3,a2,a3,a3),f25(a3,a3,a2,a3,a3),a2,f25(a3,a3,a2,a3,a3))),
% 131.11/131.79 inference(scs_inference,[],[8964,9253,10985,10662,11072,11001,10500,222,167,257,152,256,255,162,168])).
% 131.11/131.79 cnf(11148,plain,
% 131.11/131.79 (P4(a3,a3,a2,f5(a2,a3,a2))),
% 131.11/131.79 inference(scs_inference,[],[8706,8964,9253,10985,10662,11072,11074,11001,10500,222,167,257,152,256,255,162,168,254,169])).
% 131.11/131.79 cnf(11150,plain,
% 131.11/131.79 (P9(a2,a16,a16,a16,a2,a1,a1,a16)),
% 131.11/131.79 inference(scs_inference,[],[8706,8964,9253,10578,10985,10662,11072,11074,11001,10500,222,167,257,152,256,255,162,168,254,169,252])).
% 131.11/131.79 cnf(11152,plain,
% 131.11/131.79 (P9(a16,a16,a2,a16,a16,a1,a1,a2)),
% 131.11/131.79 inference(scs_inference,[],[10047,8706,8964,9253,10578,10985,10662,11072,11074,11001,10500,222,167,257,152,256,255,162,168,254,169,252,253])).
% 131.11/131.79 cnf(11154,plain,
% 131.11/131.79 (P9(x111541,x111541,a1,x111541,a1,x111541,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[10047,11003,8706,8964,9253,10578,10985,10662,11072,11074,11001,10500,222,167,257,152,256,255,162,168,254,169,252,253,250])).
% 131.11/131.79 cnf(11156,plain,
% 131.11/131.79 (P9(a16,a1,a16,a16,a1,a2,a2,a16)),
% 131.11/131.79 inference(scs_inference,[],[10047,11003,8706,8964,9253,10578,10985,10662,11072,11074,11001,10500,222,167,257,152,256,255,162,168,254,169,252,253,250,251])).
% 131.11/131.79 cnf(11158,plain,
% 131.11/131.79 (P9(a1,a1,a1,a1,a1,a1,a1,a16)),
% 131.11/131.79 inference(scs_inference,[],[11030,10047,11003,8706,8964,9253,10578,10985,10662,11072,11074,11001,10500,9814,222,167,257,152,256,255,162,168,254,169,252,253,250,251,228])).
% 131.11/131.79 cnf(11162,plain,
% 131.11/131.79 (P9(a1,x111621,a1,a1,x111621,x111621,a1,x111621)),
% 131.11/131.79 inference(rename_variables,[],[11003])).
% 131.11/131.79 cnf(11164,plain,
% 131.11/131.79 (P1(f13(a17,a1,a1,a2,a16),a2,a16)),
% 131.11/131.79 inference(scs_inference,[],[142,11030,10047,11003,8706,8964,9253,10578,11064,10985,10662,11072,11074,11001,10500,10050,9814,222,167,257,152,256,255,162,168,254,169,252,253,250,251,228,240,195])).
% 131.11/131.79 cnf(11167,plain,
% 131.11/131.79 (P9(x111671,x111672,x111673,x111674,x111671,x111672,x111673,x111674)),
% 131.11/131.79 inference(rename_variables,[],[8221])).
% 131.11/131.79 cnf(11170,plain,
% 131.11/131.79 (P9(x111701,x111702,x111703,x111704,x111702,x111701,x111703,x111704)),
% 131.11/131.79 inference(rename_variables,[],[8330])).
% 131.11/131.79 cnf(11184,plain,
% 131.11/131.79 (P3(x111841,x111842,x111842,x111841)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(11186,plain,
% 131.11/131.79 (P10(a2,a16,a1,a2)),
% 131.11/131.79 inference(scs_inference,[],[142,11030,10047,11003,8706,8964,9253,10578,11064,11080,10985,10662,11070,11072,11074,11001,10500,10050,9814,10932,8330,11170,8221,11167,8396,8169,222,167,257,152,256,255,162,168,254,169,252,253,250,251,228,240,195,246,248,245,196,820,244,188,238])).
% 131.11/131.79 cnf(11189,plain,
% 131.11/131.79 (P3(x111891,x111892,x111892,x111891)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(11192,plain,
% 131.11/131.79 (P3(x111921,x111922,x111922,x111921)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(11197,plain,
% 131.11/131.79 (P3(x111971,x111972,x111972,x111971)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(11202,plain,
% 131.11/131.79 (P5(a18,a2,a2,a1)),
% 131.11/131.79 inference(scs_inference,[],[142,11030,10047,11003,8706,8964,9253,10251,10578,10967,11064,11080,10985,10662,11070,11072,11074,11001,10500,10406,10050,9814,9363,10932,8330,11170,8221,11167,8396,11184,11189,11192,11197,8169,222,167,257,152,256,255,162,168,254,169,252,253,250,251,228,240,195,246,248,245,196,820,244,188,238,189,175,202,187,176,241])).
% 131.11/131.79 cnf(11206,plain,
% 131.11/131.79 (P5(f8(a17,a17,a17,a17),a17,f8(a17,a17,a17,a17),a17)),
% 131.11/131.79 inference(scs_inference,[],[142,11030,10047,11003,8706,8964,9253,10251,10578,10967,11064,11080,10985,10662,11095,11070,11072,11074,11001,10500,10406,10050,9936,9351,9814,9363,10932,8330,11170,8221,11167,8396,11184,11189,11192,11197,8169,222,167,257,152,256,255,162,168,254,169,252,253,250,251,228,240,195,246,248,245,196,820,244,188,238,189,175,202,187,176,241,221,171])).
% 131.11/131.79 cnf(11211,plain,
% 131.11/131.79 (P3(a1,a1,f4(a1,a1,a1),a1)),
% 131.11/131.79 inference(scs_inference,[],[142,11030,10047,11003,8706,8964,9253,10251,10578,10967,11064,11080,10375,10985,10662,10644,11095,11070,11072,11074,11001,10500,10406,10050,10730,9936,9351,9814,9363,10932,8330,11170,8221,11167,8396,11184,11189,11192,11197,8169,222,167,257,152,256,255,162,168,254,169,252,253,250,251,228,240,195,246,248,245,196,820,244,188,238,189,175,202,187,176,241,221,171,179,239])).
% 131.11/131.79 cnf(11217,plain,
% 131.11/131.79 (P7(f23(a16,a16,a16,a16,a3,a3),a16,a16)),
% 131.11/131.79 inference(scs_inference,[],[142,11030,10047,11003,8706,8964,9253,10251,10578,10967,11064,11080,10375,10305,10985,10662,10644,11095,11070,11072,11074,11001,10500,10406,10050,10730,9936,9351,8948,9814,9363,10932,8330,11170,8221,11167,8396,11184,11189,11192,11197,8169,222,167,257,152,256,255,162,168,254,169,252,253,250,251,228,240,195,246,248,245,196,820,244,188,238,189,175,202,187,176,241,221,171,179,239,182,201])).
% 131.11/131.79 cnf(11222,plain,
% 131.11/131.79 (P4(x112221,a18,a18,a18)),
% 131.11/131.79 inference(scs_inference,[],[142,11030,10047,11003,8706,8964,9253,10251,10578,10967,11064,11080,10375,10305,10985,10662,10644,11095,11070,11072,11074,11001,10500,10406,10050,8552,10730,9936,9351,8948,9814,9363,4788,10932,8521,8330,11170,8221,11167,8396,11184,11189,11192,11197,8169,222,167,257,152,256,255,162,168,254,169,252,253,250,251,228,240,195,246,248,245,196,820,244,188,238,189,175,202,187,176,241,221,171,179,239,182,201,180,234])).
% 131.11/131.79 cnf(11223,plain,
% 131.11/131.79 (P9(x112231,x112232,x112233,x112234,x112231,x112232,x112234,x112233)),
% 131.11/131.79 inference(rename_variables,[],[8521])).
% 131.11/131.79 cnf(11227,plain,
% 131.11/131.79 (P9(a2,a16,a1,a2,a16,a16,a1,a16)),
% 131.11/131.79 inference(scs_inference,[],[142,11030,10047,11003,11162,8706,8964,9253,10251,10578,10967,11064,11080,10375,10305,10985,10662,10644,11095,11070,11072,11074,11001,10500,9587,10406,10050,8552,10730,9936,9351,8948,9814,9363,4788,10932,8521,8330,11170,8221,11167,8396,11184,11189,11192,11197,8169,222,167,257,152,256,255,162,168,254,169,252,253,250,251,228,240,195,246,248,245,196,820,244,188,238,189,175,202,187,176,241,221,171,179,239,182,201,180,234,225,260])).
% 131.11/131.79 cnf(11232,plain,
% 131.11/131.79 (P10(x112321,x112322,x112322,x112321)),
% 131.11/131.79 inference(rename_variables,[],[8201])).
% 131.11/131.79 cnf(11236,plain,
% 131.11/131.79 (P7(f7(a18,a3,a3),a18,a3)),
% 131.11/131.79 inference(scs_inference,[],[142,11030,10047,11003,11162,8706,8964,9253,10251,10578,10967,11064,11080,10375,9944,10305,10985,10662,10644,11095,11070,11072,11074,11001,10500,9587,10406,10572,10050,8552,10054,10462,10730,9936,8901,9351,8948,9814,9363,4788,10932,8521,8330,11170,8221,11167,8264,8396,11184,11189,11192,11197,8201,8169,222,167,257,152,256,255,162,168,254,169,252,253,250,251,228,240,195,246,248,245,196,820,244,188,238,189,175,202,187,176,241,221,171,179,239,182,201,180,234,225,260,190,226,184])).
% 131.11/131.79 cnf(11239,plain,
% 131.11/131.79 (P7(a18,a16,a3)),
% 131.11/131.79 inference(scs_inference,[],[142,11030,10047,11003,11162,8706,8964,9253,10251,10578,10967,11064,11080,10375,9944,10305,10985,10662,10644,11095,11070,11072,11074,11001,10500,8698,9587,10406,10572,10050,8552,10054,10462,10730,9936,8901,9351,8948,10352,9814,9363,4788,10932,4384,8521,8330,11170,8221,11167,8264,8396,11184,11189,11192,11197,8201,8169,222,167,257,152,256,255,162,168,254,169,252,253,250,251,228,240,195,246,248,245,196,820,244,188,238,189,175,202,187,176,241,221,171,179,239,182,201,180,234,225,260,190,226,184,160])).
% 131.11/131.79 cnf(11242,plain,
% 131.11/131.79 (P10(x112421,x112422,x112422,x112421)),
% 131.11/131.79 inference(rename_variables,[],[8201])).
% 131.11/131.79 cnf(11247,plain,
% 131.11/131.79 (P5(f22(a1,a1,a1,a1),a1,f22(a1,a1,a1,a1),a1)),
% 131.11/131.79 inference(scs_inference,[],[142,11030,10047,11003,11162,8706,8964,9253,10251,10578,10967,11064,11080,10375,10402,9944,10305,10985,10662,10644,11095,11070,11072,11074,11001,10500,8698,9587,10406,10564,10572,10050,8552,10054,10462,10730,9936,8901,9351,8948,6716,6675,10352,9814,9363,4788,10932,4384,8521,11223,8330,11170,8221,11167,8264,8396,11184,11189,11192,11197,8201,11232,11242,8169,222,167,257,152,256,255,162,168,254,169,252,253,250,251,228,240,195,246,248,245,196,820,244,188,238,189,175,202,187,176,241,221,171,179,239,182,201,180,234,225,260,190,226,184,160,204,205,249])).
% 131.11/131.79 cnf(11268,plain,
% 131.11/131.79 (P4(a18,x112681,a18,a18)),
% 131.11/131.79 inference(scs_inference,[],[11222,8712,7619,167])).
% 131.11/131.79 cnf(11272,plain,
% 131.11/131.79 (P7(a18,a3,a16)),
% 131.11/131.79 inference(scs_inference,[],[11222,9117,11239,8712,7619,167,257,152])).
% 131.11/131.79 cnf(11278,plain,
% 131.11/131.79 (P10(a2,a16,a2,a1)),
% 131.11/131.79 inference(scs_inference,[],[9392,11222,9117,9398,11186,11239,8712,7619,167,257,152,255,256,162])).
% 131.11/131.79 cnf(11280,plain,
% 131.11/131.79 (P4(f23(a1,a1,a1,a1,a1,a1),f23(a1,a1,a1,a1,a1,a1),a1,f23(a1,a1,a1,a1,a1,a1))),
% 131.11/131.79 inference(scs_inference,[],[9392,11222,9117,9398,11186,11239,11132,8712,7619,167,257,152,255,256,162,168])).
% 131.11/131.79 cnf(11284,plain,
% 131.11/131.79 (P4(f25(a3,a3,a2,a3,a3),f25(a3,a3,a2,a3,a3),f25(a3,a3,a2,a3,a3),a2)),
% 131.11/131.79 inference(scs_inference,[],[9392,11222,8988,9117,9398,11186,11239,11132,11144,8712,7619,167,257,152,255,256,162,168,254,169])).
% 131.11/131.79 cnf(11286,plain,
% 131.11/131.79 (P9(a2,a1,a2,a16,a1,a16,a16,a16)),
% 131.11/131.79 inference(scs_inference,[],[9392,11222,8988,9117,9398,10807,11186,11239,11132,11144,8712,7619,167,257,152,255,256,162,168,254,169,252])).
% 131.11/131.79 cnf(11288,plain,
% 131.11/131.79 (P9(a3,a2,a18,a3,a2,a2,a18,a2)),
% 131.11/131.79 inference(scs_inference,[],[9392,11222,8988,9117,9398,10271,10807,11186,11239,11132,11144,8712,7619,167,257,152,255,256,162,168,254,169,252,250])).
% 131.11/131.79 cnf(11290,plain,
% 131.11/131.79 (P9(a1,a2,a1,a16,a2,a16,a16,a16)),
% 131.11/131.79 inference(scs_inference,[],[9392,11222,8988,9117,9398,10271,10807,11186,11239,11132,11144,8712,7619,167,257,152,255,256,162,168,254,169,252,250,253])).
% 131.11/131.79 cnf(11292,plain,
% 131.11/131.79 (P9(a1,x112921,x112921,x112921,a1,a1,a1,x112921)),
% 131.11/131.79 inference(scs_inference,[],[9392,11154,11222,8988,9117,9398,10271,10807,11186,11239,11132,11144,8712,7619,167,257,152,255,256,162,168,254,169,252,250,253,251])).
% 131.11/131.79 cnf(11294,plain,
% 131.11/131.79 (P4(a3,a2,f5(a2,a3,a2),f5(a2,a3,a2))),
% 131.11/131.79 inference(scs_inference,[],[9392,11154,11222,8988,9117,9398,10271,10807,11186,11239,11132,11144,11148,8712,7619,167,257,152,255,256,162,168,254,169,252,250,253,251,183])).
% 131.11/131.79 cnf(11297,plain,
% 131.11/131.79 (P10(x112971,x112972,x112971,x112972)),
% 131.11/131.79 inference(rename_variables,[],[8169])).
% 131.11/131.79 cnf(11299,plain,
% 131.11/131.79 (P10(a16,a16,a1,a16)),
% 131.11/131.79 inference(scs_inference,[],[9392,11154,11222,8988,9117,9398,10271,10807,11186,11239,11132,11144,11217,11148,11030,8712,8169,7619,167,257,152,255,256,162,168,254,169,252,250,253,251,183,820,238])).
% 131.11/131.79 cnf(11300,plain,
% 131.11/131.79 (P9(x113001,x113001,a1,x113001,a1,x113001,a1,a1)),
% 131.11/131.79 inference(rename_variables,[],[11154])).
% 131.11/131.79 cnf(11302,plain,
% 131.11/131.79 (P2(f9(a2,a3,a18),a2,a3,a18)),
% 131.11/131.79 inference(scs_inference,[],[9392,11154,11222,8988,9117,9398,10271,10807,11066,11186,11239,11132,11144,11217,11148,8211,11030,8712,8169,7619,167,257,152,255,256,162,168,254,169,252,250,253,251,183,820,238,189])).
% 131.11/131.79 cnf(11308,plain,
% 131.11/131.79 (P5(f21(a2,a2,a2,a2),a2,f21(a2,a2,a2,a2),a2)),
% 131.11/131.79 inference(scs_inference,[],[9392,11154,11222,8988,9117,9398,10271,10807,10849,11066,11186,11239,11132,11144,11217,11087,11148,8211,8427,11030,9632,8712,8169,7619,167,257,152,255,256,162,168,254,169,252,250,253,251,183,820,238,189,202,241,171])).
% 131.11/131.79 cnf(11309,plain,
% 131.11/131.79 (P7(a2,x113091,x113091)),
% 131.11/131.79 inference(rename_variables,[],[9632])).
% 131.11/131.79 cnf(11313,plain,
% 131.11/131.79 (P10(f23(a16,a3,x113131,x113131,a18,a16),a18,a3,x113131)),
% 131.11/131.79 inference(scs_inference,[],[9392,11154,11222,8988,9117,9398,10271,10807,10849,11066,11186,11239,10847,11132,11144,11217,11087,11148,8211,8427,11030,10205,9632,8712,8169,7619,167,257,152,255,256,162,168,254,169,252,250,253,251,183,820,238,189,202,241,171,221,203])).
% 131.11/131.79 cnf(11323,plain,
% 131.11/131.79 (P7(f23(a16,a3,a16,a3,a18,a18),a16,a3)),
% 131.11/131.79 inference(scs_inference,[],[9392,11154,11300,11222,8988,9117,9398,10271,10807,10849,11066,11186,11239,10440,10847,11132,11144,11247,11217,11087,11148,10028,8211,8427,11030,10205,9632,8712,8169,7619,167,257,152,255,256,162,168,254,169,252,250,253,251,183,820,238,189,202,241,171,221,203,179,239,182,201])).
% 131.11/131.79 cnf(11331,plain,
% 131.11/131.79 (P9(a2,a1,a2,a16,a1,a1,a1,a16)),
% 131.11/131.79 inference(scs_inference,[],[9392,11154,11300,11222,8988,9117,9398,10271,10807,10849,10951,11066,11186,11239,10491,9876,10440,10847,11132,11144,11247,11217,11087,11148,10028,8211,8427,10113,11030,10205,9632,8521,8712,8174,8169,7619,167,257,152,255,256,162,168,254,169,252,250,253,251,183,820,238,189,202,241,171,221,203,179,239,182,201,234,225,260])).
% 131.11/131.79 cnf(11335,plain,
% 131.11/131.79 (P10(x113351,x113352,x113352,x113351)),
% 131.11/131.79 inference(rename_variables,[],[8201])).
% 131.11/131.79 cnf(11341,plain,
% 131.11/131.79 (P7(f7(a16,a16,a1),a16,a1)),
% 131.11/131.79 inference(scs_inference,[],[9392,11154,11300,11222,8988,9117,9398,10271,10807,10849,10951,11066,11186,11239,10491,9876,10440,9704,10847,11132,11144,11247,11217,11087,11148,9191,10028,8211,10564,8427,10113,11030,10954,10205,9632,8521,8712,8174,8264,8201,11335,8169,7619,167,257,152,255,256,162,168,254,169,252,250,253,251,183,820,238,189,202,241,171,221,203,179,239,182,201,234,225,260,190,226,184])).
% 131.11/131.79 cnf(11344,plain,
% 131.11/131.79 (P7(a16,a16,a2)),
% 131.11/131.79 inference(scs_inference,[],[9392,11154,11300,11222,8988,9117,9398,10271,10807,10849,10951,11066,11186,11239,10491,9876,10440,9704,10847,11132,11144,11247,11217,11087,11148,9191,10028,8211,10564,8427,10113,11030,10954,10205,4394,9069,9632,8521,8712,8174,8264,8201,11335,8169,7619,167,257,152,255,256,162,168,254,169,252,250,253,251,183,820,238,189,202,241,171,221,203,179,239,182,201,234,225,260,190,226,184,160])).
% 131.11/131.79 cnf(11346,plain,
% 131.11/131.79 (P7(f23(a16,a1,a16,a1,a2,a2),a16,a16)),
% 131.11/131.79 inference(scs_inference,[],[9392,11154,11300,11222,8988,9117,9398,10271,10807,10849,10951,11066,11186,11239,10491,9876,10440,9704,10847,11132,11144,11247,11217,11087,11148,9191,10028,8211,10564,8427,10113,11030,10954,10205,4394,9069,9632,8521,8712,8174,8264,8201,11335,8169,7619,167,257,152,255,256,162,168,254,169,252,250,253,251,183,820,238,189,202,241,171,221,203,179,239,182,201,234,225,260,190,226,184,160,173])).
% 131.11/131.79 cnf(11354,plain,
% 131.11/131.79 (P5(a1,a1,a1,a16)),
% 131.11/131.79 inference(scs_inference,[],[11017,9392,11154,11300,11222,8988,9117,9398,10271,10807,10849,10951,11066,11158,11186,11239,10491,9876,10440,9704,10847,11132,11144,11247,11217,11087,11148,9191,10028,8211,10564,8427,10113,11030,10954,10205,4394,10119,9069,9632,11309,9772,8521,8712,8174,8264,8201,11335,8169,11297,4657,268,7619,167,257,152,255,256,162,168,254,169,252,250,253,251,183,820,238,189,202,241,171,221,203,179,239,182,201,234,225,260,190,226,184,160,173,206,207,249])).
% 131.11/131.79 cnf(11364,plain,
% 131.11/131.79 (P1(a16,a1,f21(a1,a16,a1,a1))),
% 131.11/131.79 inference(scs_inference,[],[11017,9392,11154,11300,11222,8988,9117,9398,10271,10807,10849,10951,11066,11158,11186,11239,10491,9876,10440,10448,9704,10847,11132,11144,11247,11217,11087,11148,9191,10028,8211,10564,8427,10113,318,4307,11030,10954,10205,4394,10119,9069,9632,11309,9772,8521,8712,8174,8264,8201,11335,8169,11297,4657,268,7619,167,257,152,255,256,162,168,254,169,252,250,253,251,183,820,238,189,202,241,171,221,203,179,239,182,201,234,225,260,190,226,184,160,173,206,207,249,232,170,195,243])).
% 131.11/131.79 cnf(11366,plain,
% 131.11/131.79 (P1(f21(a1,a16,a1,a1),a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[11017,9392,11154,11300,11222,8988,9117,9398,10271,10807,10849,10951,11066,11158,11186,11239,10491,9876,10440,10448,9704,10847,11132,11144,11247,11217,11087,11148,9191,10028,8211,10564,8427,10113,318,4307,11030,10954,10205,4394,10119,9069,9632,11309,9772,8521,8712,8174,8264,8201,11335,8169,11297,4657,268,7619,167,257,152,255,256,162,168,254,169,252,250,253,251,183,820,238,189,202,241,171,221,203,179,239,182,201,234,225,260,190,226,184,160,173,206,207,249,232,170,195,243,247])).
% 131.11/131.79 cnf(11382,plain,
% 131.11/131.79 (P7(a16,a2,a16)),
% 131.11/131.79 inference(scs_inference,[],[9249,11344,257,152])).
% 131.11/131.79 cnf(11384,plain,
% 131.11/131.79 (P4(a2,a3,f5(a2,a3,a2),f5(a2,a3,a2))),
% 131.11/131.79 inference(scs_inference,[],[9249,11344,11294,257,152,167])).
% 131.11/131.79 cnf(11388,plain,
% 131.11/131.79 (P10(a16,a16,a16,a1)),
% 131.11/131.79 inference(scs_inference,[],[9249,11299,11344,11294,257,152,167,255,162])).
% 131.11/131.79 cnf(11392,plain,
% 131.11/131.79 (P4(a18,a18,x113921,a18)),
% 131.11/131.79 inference(scs_inference,[],[11268,9249,9535,11299,11344,11294,257,152,167,255,162,256,168])).
% 131.11/131.79 cnf(11394,plain,
% 131.11/131.79 (P8(a3,a17,a3,a1,a17,a17,a1,a3)),
% 131.11/131.79 inference(scs_inference,[],[11268,9249,9251,9535,11299,11344,11294,257,152,167,255,162,256,168,254])).
% 131.11/131.79 cnf(11396,plain,
% 131.11/131.79 (P4(f23(a1,a1,a1,a1,a1,a1),f23(a1,a1,a1,a1,a1,a1),f23(a1,a1,a1,a1,a1,a1),a1)),
% 131.11/131.79 inference(scs_inference,[],[11268,9249,9251,9535,11299,11344,11280,11294,257,152,167,255,162,256,168,254,169])).
% 131.11/131.79 cnf(11398,plain,
% 131.11/131.79 (P9(a1,a16,a16,a16,a1,a2,a2,a16)),
% 131.11/131.79 inference(scs_inference,[],[11268,9249,9251,9535,11156,11299,11344,11280,11294,257,152,167,255,162,256,168,254,169,252])).
% 131.11/131.79 cnf(11400,plain,
% 131.11/131.79 (P9(a2,a16,a2,a1,a16,a16,a1,a16)),
% 131.11/131.79 inference(scs_inference,[],[11268,9249,9251,9535,11150,11156,11299,11344,11280,11294,257,152,167,255,162,256,168,254,169,252,253])).
% 131.11/131.79 cnf(11402,plain,
% 131.11/131.79 (P9(a1,a1,a1,x114021,a1,x114021,x114021,x114021)),
% 131.11/131.79 inference(scs_inference,[],[11292,11268,9249,9251,9535,11150,11156,11299,11344,11280,11294,257,152,167,255,162,256,168,254,169,252,253,250])).
% 131.11/131.79 cnf(11404,plain,
% 131.11/131.79 (P9(a16,a1,a2,a1,a16,a16,a16,a2)),
% 131.11/131.79 inference(scs_inference,[],[11292,11268,9249,9251,9535,10728,11150,11156,11299,11344,11280,11294,257,152,167,255,162,256,168,254,169,252,253,250,251])).
% 131.11/131.79 cnf(11406,plain,
% 131.11/131.79 (P7(f21(a2,a2,a2,a2),a2,a2)),
% 131.11/131.79 inference(scs_inference,[],[11292,11268,9249,9251,9535,10728,11150,11156,11299,11344,11280,10136,11308,11294,257,152,167,255,162,256,168,254,169,252,253,250,251,159])).
% 131.11/131.79 cnf(11409,plain,
% 131.11/131.79 (P10(a3,a3,a16,a16)),
% 131.11/131.79 inference(scs_inference,[],[11272,11292,11268,9249,9251,9535,10728,11150,11156,11299,11344,11280,10136,11308,11294,257,152,167,255,162,256,168,254,169,252,253,250,251,159,155])).
% 131.11/131.79 cnf(11416,plain,
% 131.11/131.79 (P9(x114161,x114162,x114163,x114164,x114161,x114162,x114164,x114163)),
% 131.11/131.79 inference(rename_variables,[],[8521])).
% 131.11/131.79 cnf(11424,plain,
% 131.11/131.79 (P2(f9(x114241,x114241,a1),x114241,x114241,a1)),
% 131.11/131.79 inference(scs_inference,[],[11272,11292,11268,9249,9251,9535,10728,11150,11156,11299,11344,11354,11280,10136,11308,11294,11313,11346,10859,10954,8521,8396,8169,257,152,167,255,162,256,168,254,169,252,253,250,251,159,155,820,238,197,199,202,189])).
% 131.11/131.79 cnf(11430,plain,
% 131.11/131.79 (P5(a1,a3,a1,a16)),
% 131.11/131.79 inference(scs_inference,[],[11272,11292,11268,9249,9251,9535,10728,11150,11156,11299,11344,11354,11280,10136,11308,11294,11313,11346,10859,10954,4530,8521,8396,8169,257,152,167,255,162,256,168,254,169,252,253,250,251,159,155,820,238,197,199,202,189,198,171])).
% 131.11/131.79 cnf(11434,plain,
% 131.11/131.79 (P5(a16,a1,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[11272,11292,11268,9249,9251,9535,10728,10857,11150,11156,11299,11344,11354,11280,10136,11308,11294,11313,11346,10859,9470,10954,4530,8521,8396,8169,257,152,167,255,162,256,168,254,169,252,253,250,251,159,155,820,238,197,199,202,189,198,171,192,241])).
% 131.11/131.79 cnf(11443,plain,
% 131.11/131.79 (P9(x114431,x114432,x114433,x114434,x114431,x114432,x114434,x114433)),
% 131.11/131.79 inference(rename_variables,[],[8521])).
% 131.11/131.79 cnf(11445,plain,
% 131.11/131.79 (P2(a1,a1,a16,a16)),
% 131.11/131.79 inference(scs_inference,[],[11272,11292,11268,9249,9251,9535,10728,10857,11150,11156,11299,11344,11354,9513,11280,10136,11308,11294,11313,11346,10859,9470,10954,4530,8521,11416,8396,8169,257,152,167,255,162,256,168,254,169,252,253,250,251,159,155,820,238,197,199,202,189,198,171,192,241,221,203,179,239,182])).
% 131.11/131.79 cnf(11447,plain,
% 131.11/131.79 (P7(f23(a3,a16,a3,a16,a18,a18),a3,a16)),
% 131.11/131.79 inference(scs_inference,[],[11272,11292,11268,9249,9251,9535,10728,10857,11150,11156,11299,11344,11354,9513,11280,10136,11308,11294,11313,11346,10859,9470,10954,4530,8521,11416,8396,8169,257,152,167,255,162,256,168,254,169,252,253,250,251,159,155,820,238,197,199,202,189,198,171,192,241,221,203,179,239,182,201])).
% 131.11/131.79 cnf(11449,plain,
% 131.11/131.79 (P8(a1,a1,a17,a17,a1,a1,a17,a17)),
% 131.11/131.79 inference(scs_inference,[],[9105,11272,11292,11268,9249,9251,9535,10728,10857,11150,11156,11299,11344,11354,9513,11280,10136,11308,11294,11313,11346,10859,8062,9470,10954,4530,8521,11416,8396,8169,257,152,167,255,162,256,168,254,169,252,253,250,251,159,155,820,238,197,199,202,189,198,171,192,241,221,203,179,239,182,201,261])).
% 131.11/131.79 cnf(11451,plain,
% 131.11/131.79 (P4(a1,a16,a2,a1)),
% 131.11/131.79 inference(scs_inference,[],[9105,11272,11292,11268,9249,9251,9535,10728,10857,11150,11156,11299,11331,11344,11354,9513,11280,10136,11308,11294,11313,11346,10859,8062,4365,9470,10954,4530,8521,11416,8396,8169,257,152,167,255,162,256,168,254,169,252,253,250,251,159,155,820,238,197,199,202,189,198,171,192,241,221,203,179,239,182,201,261,234])).
% 131.11/131.79 cnf(11462,plain,
% 131.11/131.79 (P7(f7(a2,a18,a3),a2,a3)),
% 131.11/131.79 inference(scs_inference,[],[9105,11272,11292,11268,9249,9251,9535,10728,10857,11150,11152,11156,11299,11331,11344,11354,9513,10924,10300,11280,10136,11308,11294,11313,11346,11236,10859,8062,10117,10641,4365,9470,10954,8750,4530,8521,11416,11443,8396,8169,257,152,167,255,162,256,168,254,169,252,253,250,251,159,155,820,238,197,199,202,189,198,171,192,241,221,203,179,239,182,201,261,234,225,260,194,190,184])).
% 131.11/131.79 cnf(11465,plain,
% 131.11/131.79 (P7(f7(a16,a16,a1),a16,a16)),
% 131.11/131.79 inference(scs_inference,[],[9105,11272,11292,11268,9249,9251,9535,10728,10857,11150,11152,11156,11299,11331,11344,11354,9513,10924,10300,11280,10136,11308,11294,11313,11346,11236,11341,10859,8062,10117,10641,4365,9470,10954,8750,4530,8521,11416,11443,8396,8169,257,152,167,255,162,256,168,254,169,252,253,250,251,159,155,820,238,197,199,202,189,198,171,192,241,221,203,179,239,182,201,261,234,225,260,194,190,184,173])).
% 131.11/131.79 cnf(11474,plain,
% 131.11/131.79 (P8(a17,a3,a17,a3,a17,a1,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[9105,11272,11292,11268,9249,9251,9535,10728,10857,11150,11152,11156,11299,11331,11344,11354,9513,10924,10300,11280,11284,10136,11308,11294,11313,11346,11236,11341,8585,10859,8494,8062,10117,10641,4365,9470,10954,9206,8750,4899,4530,8519,8521,11416,11443,8396,8169,257,152,167,255,162,256,168,254,169,252,253,250,251,159,155,820,238,197,199,202,189,198,171,192,241,221,203,179,239,182,201,261,234,225,260,194,190,184,173,207,206,249,4796])).
% 131.11/131.79 cnf(11476,plain,
% 131.11/131.79 (P3(f8(a1,a16,a16,a1),a1,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[9105,11272,11292,11268,9249,9251,9535,10728,10857,11150,11152,11156,11299,11331,11344,11354,9513,10924,10300,11280,11284,10136,11308,11294,11313,11346,11236,11341,8585,10859,8494,8062,10117,10641,4365,9470,10954,9206,8750,4899,4530,8519,8521,11416,11443,8396,8169,257,152,167,255,162,256,168,254,169,252,253,250,251,159,155,820,238,197,199,202,189,198,171,192,241,221,203,179,239,182,201,261,234,225,260,194,190,184,173,207,206,249,4796,185])).
% 131.11/131.79 cnf(11505,plain,
% 131.11/131.79 (P8(a3,a2,a2,a3,a3,a2,a3,a2)),
% 131.11/131.79 inference(scs_inference,[],[9396,8330,7585,257])).
% 131.11/131.79 cnf(11507,plain,
% 131.11/131.79 (P7(f23(a16,a3,a16,a3,a18,a18),a3,a16)),
% 131.11/131.79 inference(scs_inference,[],[9396,11323,8330,7585,257,152])).
% 131.11/131.79 cnf(11509,plain,
% 131.11/131.79 (P8(a3,a2,a3,a2,a3,a2,a2,a3)),
% 131.11/131.79 inference(scs_inference,[],[9396,11323,8330,7585,257,152,255])).
% 131.11/131.79 cnf(11511,plain,
% 131.11/131.79 (P4(a16,a1,a2,a1)),
% 131.11/131.79 inference(scs_inference,[],[9396,11451,11323,8330,7585,257,152,255,167])).
% 131.11/131.79 cnf(11517,plain,
% 131.11/131.79 (P4(a1,a2,a16,a1)),
% 131.11/131.79 inference(scs_inference,[],[9396,9576,11451,11323,10303,8330,7585,257,152,255,167,256,162,168])).
% 131.11/131.79 cnf(11519,plain,
% 131.11/131.79 (P8(a2,a3,a3,a2,a3,a2,a3,a2)),
% 131.11/131.79 inference(scs_inference,[],[9396,9576,11451,11323,10303,8330,7585,257,152,255,167,256,162,168,254])).
% 131.11/131.79 cnf(11521,plain,
% 131.11/131.79 (P4(a18,a18,a18,x115211)),
% 131.11/131.79 inference(scs_inference,[],[11392,9396,9576,11451,11323,10303,8330,7585,257,152,255,167,256,162,168,254,169])).
% 131.11/131.79 cnf(11525,plain,
% 131.11/131.79 (P9(a1,a2,a16,a1,a2,a16,a16,a16)),
% 131.11/131.79 inference(scs_inference,[],[11005,11288,11392,9396,9576,11451,11323,10303,8330,7585,257,152,255,167,256,162,168,254,169,252,250])).
% 131.11/131.79 cnf(11527,plain,
% 131.11/131.79 (P9(a2,a16,a16,a16,a1,a2,a1,a16)),
% 131.11/131.79 inference(scs_inference,[],[11005,11288,11392,9396,9576,11227,11451,11323,10303,8330,7585,257,152,255,167,256,162,168,254,169,252,250,253])).
% 131.11/131.79 cnf(11529,plain,
% 131.11/131.79 (P9(a16,a16,a16,a2,a16,a1,a1,a2)),
% 131.11/131.79 inference(scs_inference,[],[10865,11005,11288,11392,9396,9576,11227,11451,11323,10303,8330,7585,257,152,255,167,256,162,168,254,169,252,250,253,251])).
% 131.11/131.79 cnf(11532,plain,
% 131.11/131.79 (P3(x115321,f4(x115321,x115321,x115321),f4(x115321,x115321,x115321),f4(x115321,x115321,x115321))),
% 131.11/131.79 inference(rename_variables,[],[10375])).
% 131.11/131.79 cnf(11538,plain,
% 131.11/131.79 (P3(a1,a16,a16,a16)),
% 131.11/131.79 inference(scs_inference,[],[10865,11005,11288,11392,9396,9576,11227,11445,11451,9867,11406,11323,10303,10375,9685,324,8330,7585,257,152,255,167,256,162,168,254,169,252,250,253,251,172,156,153,170])).
% 131.11/131.79 cnf(11546,plain,
% 131.11/131.79 (P10(a16,a2,a1,a2)),
% 131.11/131.79 inference(scs_inference,[],[10865,11005,11288,11388,11392,9396,9576,11227,11445,11451,9867,11406,11323,10303,11092,10414,10375,9685,324,8330,8221,8169,7585,257,152,255,167,256,162,168,254,169,252,250,253,251,172,156,153,170,246,820,238])).
% 131.11/131.79 cnf(11557,plain,
% 131.11/131.79 (P5(f13(a16,a1,a16,a2,a16),a2,f13(a16,a1,a16,a2,a16),a16)),
% 131.11/131.79 inference(scs_inference,[],[10865,11005,11288,11388,11392,9396,9576,11227,11382,11445,11451,9867,11019,11406,11323,10303,11092,10414,10375,9685,10462,10404,10833,324,8565,8330,8221,8169,7585,257,152,255,167,256,162,168,254,169,252,250,253,251,172,156,153,170,246,820,238,191,202,189,192,171])).
% 131.11/131.79 cnf(11559,plain,
% 131.11/131.79 (P5(a1,a16,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[10865,11005,11288,11388,11392,9396,9576,11227,11382,11434,11445,11451,9867,11019,11406,11323,10303,11092,10394,10414,10375,9685,10462,10404,10833,324,8565,8330,8221,8169,7585,257,152,255,167,256,162,168,254,169,252,250,253,251,172,156,153,170,246,820,238,191,202,189,192,171,241])).
% 131.11/131.79 cnf(11566,plain,
% 131.11/131.79 (P3(a16,a1,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[10865,11005,11288,11388,11392,9396,9576,11227,11382,11434,11445,11451,9867,11019,11406,11323,10303,11092,10394,10414,10375,9685,10462,10404,10833,324,8565,8330,8221,8169,7585,257,152,255,167,256,162,168,254,169,252,250,253,251,172,156,153,170,246,820,238,191,202,189,192,171,241,221,203,179])).
% 131.11/131.79 cnf(11568,plain,
% 131.11/131.79 (P3(a1,a1,a1,f4(a1,a1,a1))),
% 131.11/131.79 inference(scs_inference,[],[10865,11005,11288,11388,11402,11392,9396,9576,11227,11382,11434,11445,11451,9867,11019,11406,11323,10303,11092,10394,10414,10375,11532,9685,10462,10404,10833,324,8565,8330,8221,8169,7585,257,152,255,167,256,162,168,254,169,252,250,253,251,172,156,153,170,246,820,238,191,202,189,192,171,241,221,203,179,239])).
% 131.11/131.79 cnf(11574,plain,
% 131.11/131.79 (P7(f23(a2,a16,a2,a16,a16,a16),a2,a16)),
% 131.11/131.79 inference(scs_inference,[],[10865,11005,11288,11388,11402,11392,9396,9576,11227,11382,11430,11434,11445,11451,9867,11019,11406,11323,10303,11092,10394,10414,10375,11532,9685,10462,10404,10833,324,8565,8330,8221,8169,7585,257,152,255,167,256,162,168,254,169,252,250,253,251,172,156,153,170,246,820,238,191,202,189,192,171,241,221,203,179,239,182,201])).
% 131.11/131.79 cnf(11576,plain,
% 131.11/131.79 (P4(f4(a3,a18,a18),f4(a3,a18,a18),a3,a18)),
% 131.11/131.79 inference(scs_inference,[],[10865,11005,11288,11388,11402,11392,9396,9576,11227,11382,11430,11434,11445,11451,9867,11019,11406,11323,10303,11092,10394,10414,10375,11532,9685,10462,10404,10833,324,8565,8330,8221,8174,8169,7585,257,152,255,167,256,162,168,254,169,252,250,253,251,172,156,153,170,246,820,238,191,202,189,192,171,241,221,203,179,239,182,201,234])).
% 131.11/131.79 cnf(11581,plain,
% 131.11/131.79 (P9(f23(a1,a1,a1,a1,a1,a1),a1,a1,a1,a1,a16,a16,a16)),
% 131.11/131.79 inference(scs_inference,[],[10865,11005,11288,11388,11402,11392,9396,9576,11227,11286,11382,11430,11434,11445,11451,9867,11019,11406,11323,10303,11092,11465,10486,10394,10414,10375,11532,9685,10462,10404,10833,324,8565,8330,8221,8174,8169,7585,257,152,255,167,256,162,168,254,169,252,250,253,251,172,156,153,170,246,820,238,191,202,189,192,171,241,221,203,179,239,182,201,234,225,260])).
% 131.11/131.79 cnf(11587,plain,
% 131.11/131.79 (P10(x115871,x115872,x115872,x115871)),
% 131.11/131.79 inference(rename_variables,[],[8201])).
% 131.11/131.79 cnf(11589,plain,
% 131.11/131.79 (P7(f7(a1,a2,a2),a1,a2)),
% 131.11/131.79 inference(scs_inference,[],[10865,11005,11288,11388,11402,11392,9396,9576,11227,11286,11382,11430,11434,11445,11451,9867,11019,11406,11323,10303,11092,11465,10486,10394,10414,10375,11532,11017,9685,10462,10939,10404,10833,324,8565,8330,8221,8174,8264,8201,8169,7585,257,152,255,167,256,162,168,254,169,252,250,253,251,172,156,153,170,246,820,238,191,202,189,192,171,241,221,203,179,239,182,201,234,225,260,194,190,184])).
% 131.11/131.79 cnf(11592,plain,
% 131.11/131.79 (P7(f23(a3,a16,a3,a16,a18,a18),a16,a3)),
% 131.11/131.79 inference(scs_inference,[],[10865,11005,11288,11388,11402,11392,9396,9576,11227,11286,11382,11409,11430,11434,11445,11451,9867,11019,11406,11323,11447,10303,11092,11465,10486,10394,10414,10375,11532,11017,9685,10462,10939,10404,10833,324,8565,8330,8221,8174,8264,8201,11587,8169,7585,257,152,255,167,256,162,168,254,169,252,250,253,251,172,156,153,170,246,820,238,191,202,189,192,171,241,221,203,179,239,182,201,234,225,260,194,190,184,173])).
% 131.11/131.79 cnf(11595,plain,
% 131.11/131.79 (P5(a1,a16,a1,a16)),
% 131.11/131.79 inference(scs_inference,[],[10865,11005,11288,11388,11402,11392,9396,9576,11227,11286,11382,11409,11430,11434,11445,11451,9867,11019,11406,11323,11447,10303,11092,11465,10486,10394,10414,11331,10375,11532,11017,9685,8868,10462,10939,10404,10833,324,8565,8330,8221,8174,8264,8201,11587,8169,7585,257,152,255,167,256,162,168,254,169,252,250,253,251,172,156,153,170,246,820,238,191,202,189,192,171,241,221,203,179,239,182,201,234,225,260,194,190,184,173,249])).
% 131.11/131.79 cnf(11597,plain,
% 131.11/131.79 (P3(f8(a3,a16,a16,a1),a3,a3,a1)),
% 131.11/131.79 inference(scs_inference,[],[10865,11005,11288,11388,11402,11392,9396,9576,11227,11286,11382,11409,11430,11434,11445,11451,9867,11019,11406,11323,11447,10303,11092,11465,10486,10394,10414,11331,10375,11532,11017,9685,8868,10462,10939,10404,10833,324,8565,8330,8221,8174,8264,8201,11587,8169,7585,257,152,255,167,256,162,168,254,169,252,250,253,251,172,156,153,170,246,820,238,191,202,189,192,171,241,221,203,179,239,182,201,234,225,260,194,190,184,173,249,185])).
% 131.11/131.79 cnf(11599,plain,
% 131.11/131.79 (P9(a2,a16,a2,a1,a1,a16,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[10865,11005,11288,11388,11402,11392,9396,9576,11227,11286,11382,11409,11430,11434,11445,11451,9867,11019,11406,11323,11447,10303,11092,11465,10486,10394,10414,11331,10375,11532,11017,9685,8868,10462,10939,10404,10833,324,8565,8330,8221,8174,8264,8201,11587,8169,7585,257,152,255,167,256,162,168,254,169,252,250,253,251,172,156,153,170,246,820,238,191,202,189,192,171,241,221,203,179,239,182,201,234,225,260,194,190,184,173,249,185,222])).
% 131.11/131.79 cnf(11603,plain,
% 131.11/131.79 (P1(f13(a16,a1,a1,a2,a16),a2,a16)),
% 131.11/131.79 inference(scs_inference,[],[142,10865,11005,11288,11388,11402,11392,9396,9576,11227,11286,11382,11409,11430,11434,11445,11451,9867,11019,11406,11323,11447,10303,11092,11465,10486,10512,10394,10414,11331,10375,11532,11017,9685,8868,10462,10939,10404,10833,324,8565,8330,8221,8174,8264,8201,11587,8169,7585,257,152,255,167,256,162,168,254,169,252,250,253,251,172,156,153,170,246,820,238,191,202,189,192,171,241,221,203,179,239,182,201,234,225,260,194,190,184,173,249,185,222,793,195])).
% 131.11/131.79 cnf(11606,plain,
% 131.11/131.79 (P9(x116061,x116062,x116062,x116061,x116063,x116064,x116063,x116064)),
% 131.11/131.79 inference(rename_variables,[],[8219])).
% 131.11/131.79 cnf(11608,plain,
% 131.11/131.79 (P1(a16,a16,f21(a16,a16,a1,a16))),
% 131.11/131.79 inference(scs_inference,[],[142,10865,11005,11288,11388,11402,11392,9396,9576,11227,11286,11382,11409,11430,11434,11445,11451,9867,11019,11406,11323,11447,10303,11092,11465,10486,10512,10394,10414,11331,10375,11532,11017,9685,8868,10462,10939,10404,10833,324,8565,8219,11606,8330,8221,8174,8264,8201,11587,8169,7585,257,152,255,167,256,162,168,254,169,252,250,253,251,172,156,153,170,246,820,238,191,202,189,192,171,241,221,203,179,239,182,201,234,225,260,194,190,184,173,249,185,222,793,195,247,243])).
% 131.11/131.79 cnf(11611,plain,
% 131.11/131.79 (P3(f13(a16,a1,a1,a2,a16),a16,a2,a16)),
% 131.11/131.79 inference(scs_inference,[],[142,10865,11005,11288,11388,11402,11392,9396,9576,11227,11286,11382,11409,11430,11434,11445,11451,9867,11019,11406,11323,11447,10303,11092,11465,10486,10512,10394,10414,11331,10375,11532,11017,9685,8868,10462,10939,10404,10833,324,8565,8219,11606,8330,8221,8174,8264,8201,11587,8169,7585,257,152,255,167,256,162,168,254,169,252,250,253,251,172,156,153,170,246,820,238,191,202,189,192,171,241,221,203,179,239,182,201,234,225,260,194,190,184,173,249,185,222,793,195,247,243,196])).
% 131.11/131.79 cnf(11617,plain,
% 131.11/131.79 (P5(a1,a16,a1,f4(a16,a1,a1))),
% 131.11/131.79 inference(scs_inference,[],[142,10865,11005,11288,11388,11402,11392,9396,9576,11227,11286,11382,11409,11430,11434,11445,11451,9867,11019,11406,11323,11447,10303,11092,11465,10486,10512,10394,10414,11331,10375,11532,11017,9685,8868,10462,10939,10404,10833,324,11064,8565,8219,11606,8330,8221,8174,8264,8201,11587,8169,7585,257,152,255,167,256,162,168,254,169,252,250,253,251,172,156,153,170,246,820,238,191,202,189,192,171,241,221,203,179,239,182,201,234,225,260,194,190,184,173,249,185,222,793,195,247,243,196,174,197,186])).
% 131.11/131.79 cnf(11631,plain,
% 131.11/131.79 (P9(a16,a1,a16,a2,a1,a1,a1,a2)),
% 131.11/131.79 inference(scs_inference,[],[11517,222])).
% 131.11/131.79 cnf(11633,plain,
% 131.11/131.79 (P7(f23(a2,a16,a2,a16,a16,a16),a16,a2)),
% 131.11/131.79 inference(scs_inference,[],[11517,11574,222,152])).
% 131.11/131.79 cnf(11635,plain,
% 131.11/131.79 (P8(a17,a3,a17,a1,a17,a3,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[11474,11517,11574,222,152,257])).
% 131.11/131.79 cnf(11639,plain,
% 131.11/131.79 (P4(a2,a1,a16,a1)),
% 131.11/131.79 inference(scs_inference,[],[11474,11517,11574,222,152,257,255,167])).
% 131.11/131.79 cnf(11641,plain,
% 131.11/131.79 (P10(a16,a2,a2,a1)),
% 131.11/131.79 inference(scs_inference,[],[11474,11517,11546,11574,222,152,257,255,167,162])).
% 131.11/131.79 cnf(11643,plain,
% 131.11/131.79 (P8(a3,a17,a17,a3,a17,a1,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[11474,11517,11546,11574,222,152,257,255,167,162,256])).
% 131.11/131.79 cnf(11645,plain,
% 131.11/131.79 (P4(a16,a2,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[11474,11511,11517,11546,11574,222,152,257,255,167,162,256,168])).
% 131.11/131.79 cnf(11649,plain,
% 131.11/131.79 (P4(a16,a1,a1,a2)),
% 131.11/131.79 inference(scs_inference,[],[11474,11511,11517,11546,11574,222,152,257,255,167,162,256,168,254,169])).
% 131.11/131.79 cnf(11651,plain,
% 131.11/131.79 (P9(a2,a1,a1,a16,a2,a16,a16,a16)),
% 131.11/131.79 inference(scs_inference,[],[11474,11290,11511,11517,11546,11574,222,152,257,255,167,162,256,168,254,169,252])).
% 131.11/131.79 cnf(11655,plain,
% 131.11/131.79 (P9(a1,a16,a1,a2,a16,a16,a2,a16)),
% 131.11/131.79 inference(scs_inference,[],[11474,11290,11398,11400,11511,11517,11546,11574,222,152,257,255,167,162,256,168,254,169,252,250,253])).
% 131.11/131.79 cnf(11660,plain,
% 131.11/131.79 (P9(x116601,x116602,x116602,x116601,x116603,x116604,x116603,x116604)),
% 131.11/131.79 inference(rename_variables,[],[8219])).
% 131.11/131.79 cnf(11673,plain,
% 131.11/131.79 (P9(x116731,x116732,x116733,x116734,x116731,x116732,x116734,x116733)),
% 131.11/131.79 inference(rename_variables,[],[8521])).
% 131.11/131.79 cnf(11676,plain,
% 131.11/131.79 (P3(x116761,x116762,x116762,x116761)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(11680,plain,
% 131.11/131.79 (P10(f25(a16,a1,a16,a1,a1),a16,a16,a1)),
% 131.11/131.79 inference(scs_inference,[],[11474,11290,11398,11400,11511,11517,11538,11546,11559,11566,11595,11574,10622,4913,8219,11660,8521,8221,8396,222,152,257,255,167,162,256,168,254,169,252,250,253,251,248,195,245,244,196,238,174,197,199])).
% 131.11/131.79 cnf(11683,plain,
% 131.11/131.79 (P3(x116831,x116832,x116832,x116831)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(11698,plain,
% 131.11/131.79 (P5(a3,a17,a3,a17)),
% 131.11/131.79 inference(scs_inference,[],[11474,11521,11290,11398,11400,11511,11517,11538,11546,11559,11566,11595,11574,9828,11211,10622,8499,11344,4913,8219,11660,8521,9784,8221,8396,11676,11683,222,152,257,255,167,162,256,168,254,169,252,250,253,251,248,195,245,244,196,238,174,197,199,186,198,191,202,192,171,189,241])).
% 131.11/131.79 cnf(11699,plain,
% 131.11/131.79 (P5(x116991,x116991,x116991,x116991)),
% 131.11/131.79 inference(rename_variables,[],[9784])).
% 131.11/131.79 cnf(11705,plain,
% 131.11/131.79 (P3(a1,a1,a16,a16)),
% 131.11/131.79 inference(scs_inference,[],[11474,11521,11290,11398,11400,11511,11517,11538,11546,11559,11566,11595,11507,11574,9828,11211,10622,8499,11344,4913,8219,11660,8521,9784,8221,8396,11676,11683,222,152,257,255,167,162,256,168,254,169,252,250,253,251,248,195,245,244,196,238,174,197,199,186,198,191,202,192,171,189,241,221,203,179])).
% 131.11/131.79 cnf(11709,plain,
% 131.11/131.79 (P2(a1,a16,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[11474,11521,11290,11398,11400,11511,11517,11538,11546,11559,11566,11595,11507,11574,9828,11211,10622,11581,8499,11344,4913,8219,11660,8521,9784,8221,8396,11676,11683,222,152,257,255,167,162,256,168,254,169,252,250,253,251,248,195,245,244,196,238,174,197,199,186,198,191,202,192,171,189,241,221,203,179,239,182])).
% 131.11/131.79 cnf(11711,plain,
% 131.11/131.79 (P7(f23(a16,a2,a16,a2,a16,a16),a16,a2)),
% 131.11/131.79 inference(scs_inference,[],[11474,11521,11290,11398,11400,11511,11517,11538,11546,11559,11566,11595,11507,11574,9828,11211,10622,11581,8499,11344,4913,8219,11660,8521,9784,8221,8396,11676,11683,222,152,257,255,167,162,256,168,254,169,252,250,253,251,248,195,245,244,196,238,174,197,199,186,198,191,202,192,171,189,241,221,203,179,239,182,201])).
% 131.11/131.79 cnf(11713,plain,
% 131.11/131.79 (P4(x117131,a16,a16,a16)),
% 131.11/131.79 inference(scs_inference,[],[11474,11521,11290,11398,11400,11511,11517,11538,11546,11559,11566,11595,11507,11574,9828,11211,10622,11581,8499,11344,4913,4315,8219,11660,8521,11673,9784,8221,8396,11676,11683,222,152,257,255,167,162,256,168,254,169,252,250,253,251,248,195,245,244,196,238,174,197,199,186,198,191,202,192,171,189,241,221,203,179,239,182,201,234])).
% 131.11/131.79 cnf(11714,plain,
% 131.11/131.79 (P9(x117141,x117142,x117143,x117144,x117141,x117142,x117144,x117143)),
% 131.11/131.79 inference(rename_variables,[],[8521])).
% 131.11/131.79 cnf(11718,plain,
% 131.11/131.79 (P9(a16,a16,a16,a2,a16,a1,a2,a1)),
% 131.11/131.79 inference(scs_inference,[],[11474,11521,11290,11398,11400,11511,11517,11529,11538,11546,11559,11566,11595,11507,11574,9828,11211,10622,11581,8499,11344,10300,4913,4315,8219,11660,8521,11673,11714,9784,8221,8396,11676,11683,222,152,257,255,167,162,256,168,254,169,252,250,253,251,248,195,245,244,196,238,174,197,199,186,198,191,202,192,171,189,241,221,203,179,239,182,201,234,225,260])).
% 131.11/131.79 cnf(11721,plain,
% 131.11/131.79 (P3(a1,a1,a1,a16)),
% 131.11/131.79 inference(scs_inference,[],[11474,11521,11290,11398,11400,11511,11517,11529,11538,11546,11559,11566,11595,11507,11574,9828,11211,10622,11581,8499,11344,10300,4913,10119,4315,8219,11660,8521,11673,11714,9784,11699,8221,8396,11676,11683,222,152,257,255,167,162,256,168,254,169,252,250,253,251,248,195,245,244,196,238,174,197,199,186,198,191,202,192,171,189,241,221,203,179,239,182,201,234,225,260,193])).
% 131.11/131.79 cnf(11729,plain,
% 131.11/131.79 (P7(f7(a16,a16,a1),a2,a2)),
% 131.11/131.79 inference(scs_inference,[],[11474,11521,11290,11398,11400,11511,11517,11529,11538,11546,11559,11566,11595,11507,11574,9828,11211,10622,11581,9345,8499,11341,11344,10300,11017,4913,10119,4315,8219,11660,8521,11673,11714,9784,11699,8221,8396,11676,11683,8201,222,152,257,255,167,162,256,168,254,169,252,250,253,251,248,195,245,244,196,238,174,197,199,186,198,191,202,192,171,189,241,221,203,179,239,182,201,234,225,260,193,190,173])).
% 131.11/131.79 cnf(11734,plain,
% 131.11/131.79 (P3(f8(a16,a1,a1,a1),a16,a16,a1)),
% 131.11/131.79 inference(scs_inference,[],[11474,11521,11290,11398,11400,11511,11517,11529,11538,11546,11559,11566,11595,11507,11396,11574,9828,11211,10622,11581,9345,8499,11341,11344,10300,11017,4913,10119,4315,8519,8219,11660,8521,11673,11714,9784,11699,8221,8396,11676,11683,8201,222,152,257,255,167,162,256,168,254,169,252,250,253,251,248,195,245,244,196,238,174,197,199,186,198,191,202,192,171,189,241,221,203,179,239,182,201,234,225,260,193,190,173,249,185])).
% 131.11/131.79 cnf(11759,plain,
% 131.11/131.79 (P9(a16,a2,a16,a1,a1,a2,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[11639,222])).
% 131.11/131.79 cnf(11761,plain,
% 131.11/131.79 (P7(f7(a2,a18,a3),a3,a2)),
% 131.11/131.79 inference(scs_inference,[],[11639,11462,222,152])).
% 131.11/131.79 cnf(11765,plain,
% 131.11/131.79 (P4(a16,x117651,a16,a16)),
% 131.11/131.79 inference(scs_inference,[],[11713,9429,11639,11462,222,152,257,167])).
% 131.11/131.79 cnf(11771,plain,
% 131.11/131.79 (P8(a16,a3,a16,a2,a3,a3,a2,a2)),
% 131.11/131.79 inference(scs_inference,[],[11713,9429,9665,11639,11462,10770,222,152,257,167,255,162,256])).
% 131.11/131.79 cnf(11775,plain,
% 131.11/131.79 (P4(a2,a16,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[11713,9429,9531,9665,11639,11462,10770,222,152,257,167,255,162,256,254,168])).
% 131.11/131.79 cnf(11777,plain,
% 131.11/131.79 (P4(a2,a1,a1,a16)),
% 131.11/131.79 inference(scs_inference,[],[11713,9429,9531,9665,11639,11462,10770,222,152,257,167,255,162,256,254,168,169])).
% 131.11/131.79 cnf(11779,plain,
% 131.11/131.79 (P9(a16,a2,a2,a1,a1,a16,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[11599,11713,9429,9531,9665,11639,11462,10770,222,152,257,167,255,162,256,254,168,169,252])).
% 131.11/131.79 cnf(11781,plain,
% 131.11/131.79 (P9(a1,a16,a1,a1,a2,a16,a2,a1)),
% 131.11/131.79 inference(scs_inference,[],[11599,11713,9429,9531,9665,11639,11462,10770,222,152,257,167,255,162,256,254,168,169,252,250])).
% 131.11/131.79 cnf(11783,plain,
% 131.11/131.79 (P9(a2,a16,a1,a16,a2,a1,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[11599,11713,9429,9531,9665,11639,11462,10770,222,152,257,167,255,162,256,254,168,169,252,250,253])).
% 131.11/131.79 cnf(11785,plain,
% 131.11/131.79 (P9(a16,a16,a2,a16,a1,a16,a1,a2)),
% 131.11/131.79 inference(scs_inference,[],[11599,11527,11713,9429,9531,9665,11639,11462,10770,222,152,257,167,255,162,256,254,168,169,252,250,253,251])).
% 131.11/131.79 cnf(11790,plain,
% 131.11/131.79 (P10(f23(a16,a16,a16,a16,a3,a3),a3,f23(a2,a16,a2,a16,a1,a1),a1)),
% 131.11/131.79 inference(scs_inference,[],[11599,11527,11202,11713,9429,9531,9665,11639,10171,11462,10458,11142,10770,222,152,257,167,255,162,256,254,168,169,252,250,253,251,181,177])).
% 131.11/131.79 cnf(11792,plain,
% 131.11/131.79 (P4(a3,f5(a2,a3,a2),f5(a2,a3,a2),f5(a2,a3,a2))),
% 131.11/131.79 inference(scs_inference,[],[11599,11527,11202,11713,9429,9531,9665,11639,10171,11462,10458,11384,11142,10770,222,152,257,167,255,162,256,254,168,169,252,250,253,251,181,177,183])).
% 131.11/131.79 cnf(11795,plain,
% 131.11/131.79 (P9(x117951,x117952,x117953,x117954,x117952,x117951,x117953,x117954)),
% 131.11/131.79 inference(rename_variables,[],[8330])).
% 131.11/131.79 cnf(11797,plain,
% 131.11/131.79 (P1(f22(a1,a16,a1,a1),a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[11599,11527,11202,11713,9429,9531,9665,11639,11698,11721,10171,11462,10458,11384,11142,10770,11158,8330,222,152,257,167,255,162,256,254,168,169,252,250,253,251,181,177,183,243,248])).
% 131.11/131.79 cnf(11803,plain,
% 131.11/131.79 (P3(x118031,x118032,x118032,x118031)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(11811,plain,
% 131.11/131.79 (P3(x118111,x118112,x118112,x118111)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(11816,plain,
% 131.11/131.79 (P10(a16,a1,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[11599,11527,11202,11713,9429,9531,9665,11639,11698,11705,11721,10171,11462,10159,10458,11384,11142,10770,11729,11388,10863,11566,11158,8330,11795,8221,8396,11803,8169,222,152,257,167,255,162,256,254,168,169,252,250,253,251,181,177,183,243,248,247,227,245,244,188,820,238])).
% 131.11/131.79 cnf(11820,plain,
% 131.11/131.79 (P3(x118201,x118202,x118202,x118201)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(11823,plain,
% 131.11/131.79 (P3(x118231,x118232,x118232,x118231)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(11826,plain,
% 131.11/131.79 (P3(x118261,x118262,x118262,x118261)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(11829,plain,
% 131.11/131.79 (P3(x118291,x118292,x118292,x118291)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(11840,plain,
% 131.11/131.79 (P5(a18,a17,a18,f25(a2,a18,a17,a17,a3))),
% 131.11/131.79 inference(scs_inference,[],[11599,11527,11202,11713,9429,9531,9665,11639,11698,11705,11721,10171,11462,10159,10458,11384,11142,10770,11729,11388,10863,11566,11158,11066,11595,8330,11795,8221,8396,11803,11811,11820,11823,11826,11829,8169,222,152,257,167,255,162,256,254,168,169,252,250,253,251,181,177,183,243,248,247,227,245,244,188,820,238,176,174,187,175,197,186,199,191,198])).
% 131.11/131.79 cnf(11844,plain,
% 131.11/131.79 (P5(f8(a1,a16,a16,a1),a1,f8(a1,a16,a16,a1),a1)),
% 131.11/131.79 inference(scs_inference,[],[11599,11527,11202,11713,9429,9531,9665,11639,11698,11705,11721,10171,11462,11476,10159,10458,11384,11142,10770,11729,11388,10863,11566,11158,11066,9107,11595,9772,8330,11795,8221,8396,11803,11811,11820,11823,11826,11829,8169,222,152,257,167,255,162,256,254,168,169,252,250,253,251,181,177,183,243,248,247,227,245,244,188,820,238,176,174,187,175,197,186,199,191,198,202,171])).
% 131.11/131.79 cnf(11848,plain,
% 131.11/131.79 (P2(f9(a1,a16,a1),a1,a16,a1)),
% 131.11/131.79 inference(scs_inference,[],[11599,11527,11202,11713,9429,9531,9665,11639,11698,11705,11721,10171,11462,11476,10159,10458,11384,11142,10770,11729,11388,10863,11566,11158,11066,9107,10404,11595,9772,8330,11795,8221,8396,11803,11811,11820,11823,11826,11829,8169,222,152,257,167,255,162,256,254,168,169,252,250,253,251,181,177,183,243,248,247,227,245,244,188,820,238,176,174,187,175,197,186,199,191,198,202,171,192,189])).
% 131.11/131.79 cnf(11851,plain,
% 131.11/131.79 (P5(a1,a17,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[11599,11527,11202,11713,9429,9531,9665,10103,11639,11698,11705,11721,10171,11462,11476,10159,10458,11384,11142,10770,11729,11388,10863,11566,11158,11066,9107,10404,11595,9772,8330,11795,8221,8396,11803,11811,11820,11823,11826,11829,8169,222,152,257,167,255,162,256,254,168,169,252,250,253,251,181,177,183,243,248,247,227,245,244,188,820,238,176,174,187,175,197,186,199,191,198,202,171,192,189,241])).
% 131.11/131.79 cnf(11855,plain,
% 131.11/131.79 (P3(a3,a3,a17,a17)),
% 131.11/131.79 inference(scs_inference,[],[11599,11527,11202,11713,9429,9531,9665,10103,11639,11698,11705,11721,10171,11462,11476,10159,10458,11384,11142,10770,11729,11388,10863,11566,11158,11066,9107,10404,11595,9772,8330,11795,8221,8396,11803,11811,11820,11823,11826,11829,8169,222,152,257,167,255,162,256,254,168,169,252,250,253,251,181,177,183,243,248,247,227,245,244,188,820,238,176,174,187,175,197,186,199,191,198,202,171,192,189,241,221,179])).
% 131.11/131.79 cnf(11859,plain,
% 131.11/131.79 (P3(a16,a1,a16,a2)),
% 131.11/131.79 inference(scs_inference,[],[11599,11527,11202,11713,9429,9531,9665,10103,11631,11639,11698,11705,11721,10171,11462,11476,10159,10458,11384,11142,10770,11729,11388,10863,11566,11158,11066,9107,10404,10833,11595,9772,8330,11795,8221,8396,11803,11811,11820,11823,11826,11829,8169,222,152,257,167,255,162,256,254,168,169,252,250,253,251,181,177,183,243,248,247,227,245,244,188,820,238,176,174,187,175,197,186,199,191,198,202,171,192,189,241,221,179,182,239])).
% 131.11/131.79 cnf(11861,plain,
% 131.11/131.79 (P7(f23(a17,a3,a17,a3,a3,a3),a17,a3)),
% 131.11/131.79 inference(scs_inference,[],[11599,11527,11202,11713,9429,9531,9665,10103,11631,11639,11698,11705,11721,10171,11462,11476,10159,10458,11384,11142,10770,11729,11388,10863,11566,11158,11066,9497,9107,10404,10833,11595,9772,8330,11795,8221,8396,11803,11811,11820,11823,11826,11829,8169,222,152,257,167,255,162,256,254,168,169,252,250,253,251,181,177,183,243,248,247,227,245,244,188,820,238,176,174,187,175,197,186,199,191,198,202,171,192,189,241,221,179,182,239,201])).
% 131.11/131.79 cnf(11863,plain,
% 131.11/131.79 (P10(a1,a1,a3,a3)),
% 131.11/131.79 inference(scs_inference,[],[11599,11527,11202,11713,9429,9531,9665,10103,11631,11639,11698,11705,11721,10171,11462,11476,10159,10458,11384,11142,10770,11729,11388,10863,11566,11158,11066,9497,9107,10404,9181,10833,11595,9772,8330,11795,8221,8396,11803,11811,11820,11823,11826,11829,8169,222,152,257,167,255,162,256,254,168,169,252,250,253,251,181,177,183,243,248,247,227,245,244,188,820,238,176,174,187,175,197,186,199,191,198,202,171,192,189,241,221,179,182,239,201,178])).
% 131.11/131.79 cnf(11866,plain,
% 131.11/131.79 (P4(a3,a3,f15(a2,a3,a2,a3),a2)),
% 131.11/131.79 inference(scs_inference,[],[11599,11527,11202,11713,9429,9531,9665,10103,11631,11639,11698,11705,11721,10876,10171,11462,11476,10159,10458,11384,11142,10770,11729,11388,10863,11566,11158,11066,9497,9107,10404,9181,10833,11595,9772,8330,11795,8221,8174,8396,11803,11811,11820,11823,11826,11829,8169,222,152,257,167,255,162,256,254,168,169,252,250,253,251,181,177,183,243,248,247,227,245,244,188,820,238,176,174,187,175,197,186,199,191,198,202,171,192,189,241,221,179,182,239,201,178,234])).
% 131.11/131.79 cnf(11872,plain,
% 131.11/131.79 (P9(a1,a16,a2,a16,a1,a1,a1,a2)),
% 131.11/131.79 inference(scs_inference,[],[11599,11527,11202,11713,9429,9531,9665,10103,11631,11639,11698,11705,11709,11721,10876,10171,11462,11476,10159,10458,11384,11142,10770,11729,11388,10329,10863,11566,11158,11066,9497,9107,10404,9181,10833,11595,9772,8712,8330,11795,8221,8174,8396,11803,11811,11820,11823,11826,11829,8169,222,152,257,167,255,162,256,254,168,169,252,250,253,251,181,177,183,243,248,247,227,245,244,188,820,238,176,174,187,175,197,186,199,191,198,202,171,192,189,241,221,179,182,239,201,178,234,225,260])).
% 131.11/131.79 cnf(11880,plain,
% 131.11/131.79 (P2(f10(a3,a3,a16),a3,a3,a16)),
% 131.11/131.79 inference(scs_inference,[],[11599,11527,11202,11713,9429,9531,9665,10103,11631,11639,11698,11705,11709,11721,10876,10171,11462,11476,10159,10458,11384,11142,10770,11729,10861,11388,11409,10345,10329,10863,10080,11566,11158,11066,9497,9107,10404,9181,10833,11595,9772,10014,8712,8330,11795,9784,8221,8174,8396,11803,11811,11820,11823,11826,11829,8169,222,152,257,167,255,162,256,254,168,169,252,250,253,251,181,177,183,243,248,247,227,245,244,188,820,238,176,174,187,175,197,186,199,191,198,202,171,192,189,241,221,179,182,239,201,178,234,225,260,193,190])).
% 131.11/131.79 cnf(11882,plain,
% 131.11/131.79 (P7(f7(a1,a1,a16),a1,a16)),
% 131.11/131.79 inference(scs_inference,[],[11599,11527,11202,11713,9429,9531,9665,10103,11631,11639,11698,11705,11709,11721,10876,10171,11462,11476,10159,10458,11384,11142,10770,11589,11729,10861,11388,11409,10345,10329,10863,10080,11566,11158,11066,9497,9107,10404,9181,10833,11595,9772,10014,8712,8330,11795,9784,8221,8174,8396,11803,11811,11820,11823,11826,11829,8169,222,152,257,167,255,162,256,254,168,169,252,250,253,251,181,177,183,243,248,247,227,245,244,188,820,238,176,174,187,175,197,186,199,191,198,202,171,192,189,241,221,179,182,239,201,178,234,225,260,193,190,184])).
% 131.11/131.79 cnf(11884,plain,
% 131.11/131.79 (P7(f7(a16,a16,a1),a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[11599,11527,11202,11713,9429,9531,9665,10103,11631,11639,11698,11705,11709,11721,10876,10171,11462,11476,10159,10458,11384,11142,10770,11589,11729,10861,11388,11409,10345,10329,10863,11341,10080,11566,11158,11066,9497,9107,10404,9181,10833,11595,9772,10014,8712,8330,11795,9784,8221,8174,8396,11803,11811,11820,11823,11826,11829,8169,222,152,257,167,255,162,256,254,168,169,252,250,253,251,181,177,183,243,248,247,227,245,244,188,820,238,176,174,187,175,197,186,199,191,198,202,171,192,189,241,221,179,182,239,201,178,234,225,260,193,190,184,173])).
% 131.11/131.79 cnf(11886,plain,
% 131.11/131.79 (P5(f6(a1,a1,x118861),a1,f6(a1,a1,x118861),a1)),
% 131.11/131.79 inference(scs_inference,[],[11599,11527,11202,11713,9429,9531,9665,10103,11631,11639,11698,11705,11709,11721,10876,10171,11462,11476,10159,10458,11384,11142,10770,11589,11729,10861,9390,11388,11409,10345,10329,10708,10863,11341,10080,11566,10564,11158,11066,9497,9107,10404,9181,10833,11595,9772,10014,8712,8330,11795,9784,8221,8174,8396,11803,11811,11820,11823,11826,11829,8169,222,152,257,167,255,162,256,254,168,169,252,250,253,251,181,177,183,243,248,247,227,245,244,188,820,238,176,174,187,175,197,186,199,191,198,202,171,192,189,241,221,179,182,239,201,178,234,225,260,193,190,184,173,249])).
% 131.11/131.79 cnf(11891,plain,
% 131.11/131.79 (P10(a18,f9(a18,a3,a18),a18,a18)),
% 131.11/131.79 inference(scs_inference,[],[11599,11527,11202,11713,9429,9531,9665,10103,11631,11639,11698,11705,11709,11721,10876,10171,11462,11476,10159,10458,11384,11142,10770,11589,11729,10861,9390,11388,11409,10345,10329,10708,10863,11341,10080,11566,10564,11158,11066,9497,9107,10404,9181,10833,11595,9772,10014,8712,8330,11795,9784,8221,8174,8396,11803,11811,11820,11823,11826,11829,8169,222,152,257,167,255,162,256,254,168,169,252,250,253,251,181,177,183,243,248,247,227,245,244,188,820,238,176,174,187,175,197,186,199,191,198,202,171,192,189,241,221,179,182,239,201,178,234,225,260,193,190,184,173,249,231])).
% 131.11/131.79 cnf(11900,plain,
% 131.11/131.79 (P9(a1,a2,a1,a1,a16,a2,a16,a1)),
% 131.11/131.79 inference(scs_inference,[],[11777,222])).
% 131.11/131.79 cnf(11902,plain,
% 131.11/131.79 (P7(f23(a17,a3,a17,a3,a3,a3),a3,a17)),
% 131.11/131.79 inference(scs_inference,[],[11777,11861,222,152])).
% 131.11/131.79 cnf(11906,plain,
% 131.11/131.79 (P4(a1,a16,a1,a2)),
% 131.11/131.79 inference(scs_inference,[],[9657,11649,11777,11861,222,152,255,167])).
% 131.11/131.79 cnf(11912,plain,
% 131.11/131.79 (P8(a17,a3,a1,a3,a17,a17,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[9537,9657,9671,11649,11777,11790,11861,222,152,255,167,257,162,256])).
% 131.11/131.79 cnf(11916,plain,
% 131.11/131.79 (P4(a16,a16,x119161,a16)),
% 131.11/131.79 inference(scs_inference,[],[11765,9537,9657,9671,11649,11777,11790,11861,222,152,255,167,257,162,256,254,168])).
% 131.11/131.79 cnf(11918,plain,
% 131.11/131.79 (P4(f4(a3,a18,a18),f4(a3,a18,a18),a18,a3)),
% 131.11/131.79 inference(scs_inference,[],[11765,9537,9657,9671,11649,11777,11576,11790,11861,222,152,255,167,257,162,256,254,168,169])).
% 131.11/131.79 cnf(11920,plain,
% 131.11/131.79 (P9(a16,a1,a1,a2,a16,a16,a2,a16)),
% 131.11/131.79 inference(scs_inference,[],[11655,11765,9537,9657,9671,11649,11777,11576,11790,11861,222,152,255,167,257,162,256,254,168,169,252])).
% 131.11/131.79 cnf(11922,plain,
% 131.11/131.79 (P9(a16,a1,a16,a16,a2,a1,a16,a2)),
% 131.11/131.79 inference(scs_inference,[],[11655,11765,9537,9657,9671,11404,11649,11777,11576,11790,11861,222,152,255,167,257,162,256,254,168,169,252,253])).
% 131.11/131.79 cnf(11926,plain,
% 131.11/131.79 (P9(a1,a16,a2,a1,a16,a16,a2,a16)),
% 131.11/131.79 inference(scs_inference,[],[11655,11765,9537,9657,9671,11404,11649,11651,11777,11779,11576,11790,11861,222,152,255,167,257,162,256,254,168,169,252,253,250,251])).
% 131.11/131.79 cnf(11934,plain,
% 131.11/131.79 (P3(x119341,x119342,x119341,x119342)),
% 131.11/131.79 inference(rename_variables,[],[8264])).
% 131.11/131.79 cnf(11936,plain,
% 131.11/131.79 (P1(a1,a16,f21(a16,a1,a1,a1))),
% 131.11/131.79 inference(scs_inference,[],[11655,11765,9537,9657,9671,11404,11649,11651,11777,11779,11816,11302,11576,11790,11861,9004,11559,9754,8264,222,152,255,167,257,162,256,254,168,169,252,253,250,251,228,240,246,243])).
% 131.11/131.79 cnf(11938,plain,
% 131.11/131.79 (P1(f21(a16,a1,a1,a1),a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[11655,11765,9537,9657,9671,11404,11649,11651,11777,11779,11816,11302,11576,11790,11861,9004,11559,9754,8264,222,152,255,167,257,162,256,254,168,169,252,253,250,251,228,240,246,243,247])).
% 131.11/131.79 cnf(11940,plain,
% 131.11/131.79 (P1(f15(a1,a1,a1,a16),a1,a16)),
% 131.11/131.79 inference(scs_inference,[],[11655,11765,9537,9657,9671,11404,11649,11651,11777,11779,11816,11302,11576,11790,11861,9004,11559,9754,8264,11934,222,152,255,167,257,162,256,254,168,169,252,253,250,251,228,240,246,243,247,245])).
% 131.11/131.79 cnf(11941,plain,
% 131.11/131.79 (P3(x119411,x119412,x119411,x119412)),
% 131.11/131.79 inference(rename_variables,[],[8264])).
% 131.11/131.79 cnf(11944,plain,
% 131.11/131.79 (P3(x119441,x119442,x119442,x119441)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(11950,plain,
% 131.11/131.79 (P3(x119501,x119502,x119502,x119501)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(11953,plain,
% 131.11/131.79 (P9(x119531,x119532,x119533,x119534,x119531,x119532,x119534,x119533)),
% 131.11/131.79 inference(rename_variables,[],[8521])).
% 131.11/131.79 cnf(11956,plain,
% 131.11/131.79 (P3(x119561,x119562,x119562,x119561)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(11961,plain,
% 131.11/131.79 (P1(a1,a1,f4(a1,a16,a1))),
% 131.11/131.79 inference(scs_inference,[],[11655,11765,9537,9657,9671,11404,11649,11651,11777,11779,11816,11855,11302,11576,11790,11861,11680,9768,9004,11559,9754,11721,11354,8521,8264,11934,8396,11944,11950,11956,8169,222,152,255,167,257,162,256,254,168,169,252,253,250,251,228,240,246,243,247,245,188,820,187,238,176,175,174])).
% 131.11/131.79 cnf(11963,plain,
% 131.11/131.79 (P5(a1,a1,a1,f4(a1,a16,a1))),
% 131.11/131.79 inference(scs_inference,[],[11655,11765,9537,9657,9671,11404,11649,11651,11777,11779,11816,11855,11302,11576,11790,11861,11680,9768,9004,11559,9754,11721,11354,8521,8264,11934,8396,11944,11950,11956,8169,222,152,255,167,257,162,256,254,168,169,252,253,250,251,228,240,246,243,247,245,188,820,187,238,176,175,174,186])).
% 131.11/131.79 cnf(11967,plain,
% 131.11/131.79 (P5(a1,a16,a1,a3)),
% 131.11/131.79 inference(scs_inference,[],[11655,11765,9537,9657,9671,11404,11649,11651,11777,11779,11816,11855,11302,11576,11790,11861,11680,9768,9004,11430,11559,9754,11721,11239,11354,4600,4530,8521,8264,11934,8396,11944,11950,11956,8169,222,152,255,167,257,162,256,254,168,169,252,253,250,251,228,240,246,243,247,245,188,820,187,238,176,175,174,186,191,171])).
% 131.11/131.79 cnf(11979,plain,
% 131.11/131.79 (P2(a1,a17,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[11655,11765,9537,9657,9671,11404,11643,11649,11651,11777,11779,11816,11851,11855,11302,11592,11576,11790,11844,11861,11680,9768,9004,10926,11430,11559,9754,11721,11239,11566,11354,4600,4530,11698,8521,8264,11934,8396,11944,11950,11956,8169,222,152,255,167,257,162,256,254,168,169,252,253,250,251,228,240,246,243,247,245,188,820,187,238,176,175,174,186,191,171,192,189,241,221,179,182])).
% 131.11/131.79 cnf(11981,plain,
% 131.11/131.79 (P3(a16,a1,a2,a16)),
% 131.11/131.79 inference(scs_inference,[],[11655,11765,9537,9657,9671,11404,11643,11649,11651,11777,11779,11816,11851,11855,11859,11302,11592,11576,11790,11844,11861,11680,9768,9004,10926,11430,11559,9754,11721,11239,11566,11354,4600,4530,11698,8521,11953,8264,11934,8396,11944,11950,11956,8169,222,152,255,167,257,162,256,254,168,169,252,253,250,251,228,240,246,243,247,245,188,820,187,238,176,175,174,186,191,171,192,189,241,221,179,182,239])).
% 131.11/131.79 cnf(11982,plain,
% 131.11/131.79 (P9(x119821,x119822,x119823,x119824,x119821,x119822,x119824,x119823)),
% 131.11/131.79 inference(rename_variables,[],[8521])).
% 131.11/131.79 cnf(11984,plain,
% 131.11/131.79 (P7(f23(a1,a2,a1,a2,a16,a16),a1,a2)),
% 131.11/131.79 inference(scs_inference,[],[11655,11765,9537,9657,9671,11404,11643,11649,11651,11777,11779,11816,11851,11855,11859,11302,11592,11576,11790,11844,11861,11680,9768,9004,10926,11430,11559,9754,11721,11239,11566,11354,9363,4600,4530,11698,8521,11953,8264,11934,8396,11944,11950,11956,8169,222,152,255,167,257,162,256,254,168,169,252,253,250,251,228,240,246,243,247,245,188,820,187,238,176,175,174,186,191,171,192,189,241,221,179,182,239,201])).
% 131.11/131.79 cnf(11986,plain,
% 131.11/131.79 (P3(a1,a1,a17,a17)),
% 131.11/131.79 inference(scs_inference,[],[11655,11765,9537,9657,9671,11404,11643,11649,11651,11777,11779,11816,11851,11855,11859,11863,11302,11592,11576,11790,11844,11861,11680,9768,9004,10926,11430,11559,9754,11721,11239,11566,11354,9363,4600,4530,11698,8521,11953,8264,11934,8396,11944,11950,11956,8169,222,152,255,167,257,162,256,254,168,169,252,253,250,251,228,240,246,243,247,245,188,820,187,238,176,175,174,186,191,171,192,189,241,221,179,182,239,201,180])).
% 131.11/131.79 cnf(11988,plain,
% 131.11/131.79 (P4(x119881,a17,a17,a17)),
% 131.11/131.79 inference(scs_inference,[],[11655,11765,9537,9657,9671,11404,11643,11649,11651,11777,11779,11816,11851,11855,11859,11863,11302,11592,11576,11790,11844,11861,11680,9768,9004,10926,11430,11559,9754,11721,11239,11566,11354,9363,4728,4600,4530,11698,8521,11953,11982,8264,11934,8396,11944,11950,11956,8169,222,152,255,167,257,162,256,254,168,169,252,253,250,251,228,240,246,243,247,245,188,820,187,238,176,175,174,186,191,171,192,189,241,221,179,182,239,201,180,234])).
% 131.11/131.79 cnf(11991,plain,
% 131.11/131.79 (P9(a18,a3,a18,a2,f9(a18,a3,a2),a3,f9(a18,a3,a2),f7(a2,a18,a3))),
% 131.11/131.79 inference(scs_inference,[],[11655,11765,9537,9657,9671,11404,11643,11649,11651,11777,11779,11816,11851,11855,11859,11863,11302,11592,11576,11790,11844,11861,11761,11680,10772,9768,9004,10926,11430,11559,9754,11721,11239,11566,11354,9363,4728,4600,4530,11698,8521,11953,11982,8264,11934,8396,11944,11950,11956,8169,222,152,255,167,257,162,256,254,168,169,252,253,250,251,228,240,246,243,247,245,188,820,187,238,176,175,174,186,191,171,192,189,241,221,179,182,239,201,180,234,225])).
% 131.11/131.79 cnf(11993,plain,
% 131.11/131.79 (P9(a16,a2,a16,a1,a2,a2,a1,a2)),
% 131.11/131.79 inference(scs_inference,[],[11655,11765,9537,9657,9671,11404,11643,11649,11651,11759,11777,11779,11816,11851,11855,11859,11863,11302,11592,11576,11790,11844,11861,11761,11680,10772,9768,9004,10926,11003,11430,11559,9754,11721,11239,11566,11354,9363,4728,4600,4530,11698,8521,11953,11982,8264,11934,8396,11944,11950,11956,8169,222,152,255,167,257,162,256,254,168,169,252,253,250,251,228,240,246,243,247,245,188,820,187,238,176,175,174,186,191,171,192,189,241,221,179,182,239,201,180,234,225,260])).
% 131.11/131.79 cnf(11996,plain,
% 131.11/131.79 (P2(f10(a1,a1,a3),a1,a1,a3)),
% 131.11/131.79 inference(scs_inference,[],[11655,11765,9537,9657,9671,11404,11643,11649,11651,11759,11777,11779,11816,11851,11855,11859,11863,11302,11592,11576,11790,11844,11861,11761,11680,11884,10772,9768,9004,10278,10926,11003,11430,11559,9754,11721,11239,11566,11354,9363,4728,4600,4530,11698,8521,11953,11982,8264,11934,8396,11944,11950,11956,8169,222,152,255,167,257,162,256,254,168,169,252,253,250,251,228,240,246,243,247,245,188,820,187,238,176,175,174,186,191,171,192,189,241,221,179,182,239,201,180,234,225,260,190])).
% 131.11/131.79 cnf(12004,plain,
% 131.11/131.79 (P7(f7(a16,a1,a2),a16,a2)),
% 131.11/131.79 inference(scs_inference,[],[11655,11765,9537,9657,9671,11404,11643,11649,11651,11759,11777,11779,11816,11851,11855,11859,11863,11302,11592,11576,11790,11844,11861,11761,11680,11882,11884,10772,9768,9004,8768,10278,10926,11003,11430,11559,9754,11721,11239,11566,11354,9363,4728,4600,10014,4530,11698,8521,11953,11982,9784,8264,11934,11941,8396,11944,11950,11956,8169,222,152,255,167,257,162,256,254,168,169,252,253,250,251,228,240,246,243,247,245,188,820,187,238,176,175,174,186,191,171,192,189,241,221,179,182,239,201,180,234,225,260,190,193,184])).
% 131.11/131.79 cnf(12007,plain,
% 131.11/131.79 (P7(f23(a16,a1,a16,a1,a2,a2),a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[11655,11765,9537,9657,9671,11404,11643,11649,11651,11759,11777,11779,11816,11851,11855,11859,11863,11302,11592,11576,11790,11844,11861,11761,11680,11882,11884,10772,9768,9004,8768,10278,9191,10926,11003,11430,11559,9754,11721,11239,11566,11354,9363,4728,4600,10014,4530,11698,8521,11953,11982,9784,8264,11934,11941,8396,11944,11950,11956,8169,222,152,255,167,257,162,256,254,168,169,252,253,250,251,228,240,246,243,247,245,188,820,187,238,176,175,174,186,191,171,192,189,241,221,179,182,239,201,180,234,225,260,190,193,184,173])).
% 131.11/131.79 cnf(12010,plain,
% 131.11/131.79 (P10(x120101,x120102,x120102,x120101)),
% 131.11/131.79 inference(rename_variables,[],[8201])).
% 131.11/131.79 cnf(12022,plain,
% 131.11/131.79 (P10(f8(a17,a1,a1,a1),a17,a3,a2)),
% 131.11/131.79 inference(scs_inference,[],[11655,11765,9537,9657,9671,10129,11404,11643,11649,11651,11759,11777,11779,11816,11851,11855,11859,11863,11302,11592,11576,11790,11844,11861,11761,11680,11882,11884,10772,9768,9004,8768,10278,9191,10926,11003,11430,11559,9754,4390,11721,11239,11566,11354,9363,4728,4600,10014,4530,11698,8334,8521,11953,11982,9784,8264,11934,11941,8396,11944,11950,11956,8201,12010,8169,222,152,255,167,257,162,256,254,168,169,252,253,250,251,228,240,246,243,247,245,188,820,187,238,176,175,174,186,191,171,192,189,241,221,179,182,239,201,180,234,225,260,190,193,184,173,205,204,249,185,218,328])).
% 131.11/131.79 cnf(12028,plain,
% 131.11/131.79 (P9(a1,a1,a1,a16,a2,a1,a2,a16)),
% 131.11/131.79 inference(scs_inference,[],[11906,222])).
% 131.11/131.79 cnf(12030,plain,
% 131.11/131.79 (P7(f23(a16,a2,a16,a2,a16,a16),a2,a16)),
% 131.11/131.79 inference(scs_inference,[],[11906,11711,222,152])).
% 131.11/131.79 cnf(12034,plain,
% 131.11/131.79 (P4(a17,x120341,a17,a17)),
% 131.11/131.79 inference(scs_inference,[],[11988,9659,11906,11711,222,152,255,167])).
% 131.11/131.79 cnf(12044,plain,
% 131.11/131.79 (P4(a1,a1,a16,a2)),
% 131.11/131.79 inference(scs_inference,[],[11988,9659,9822,10249,11906,11711,12022,222,152,255,167,257,162,256,254,168])).
% 131.11/131.79 cnf(12046,plain,
% 131.11/131.79 (P4(a16,a16,a16,x120461)),
% 131.11/131.79 inference(scs_inference,[],[11916,11988,9659,9822,10249,11906,11711,12022,222,152,255,167,257,162,256,254,168,169])).
% 131.11/131.79 cnf(12052,plain,
% 131.11/131.79 (P9(a2,a1,a1,a1,a2,a16,a1,a16)),
% 131.11/131.79 inference(scs_inference,[],[11718,11781,11916,11988,9659,9822,10249,11783,11906,11711,12022,222,152,255,167,257,162,256,254,168,169,252,253,250])).
% 131.11/131.79 cnf(12054,plain,
% 131.11/131.79 (P9(a16,a2,a16,a16,a2,a1,a16,a1)),
% 131.11/131.79 inference(scs_inference,[],[11718,11781,11916,11988,9659,9822,10249,11783,11906,11711,12022,222,152,255,167,257,162,256,254,168,169,252,253,250,251])).
% 131.11/131.79 cnf(12060,plain,
% 131.11/131.79 (P3(x120601,x120602,x120602,x120601)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(12062,plain,
% 131.11/131.79 (P3(a17,f5(a17,a1,a17),a17,a1)),
% 131.11/131.79 inference(scs_inference,[],[11718,11781,11916,11988,9659,9822,10249,11783,11906,11986,11711,12022,11566,8221,8396,12060,222,152,255,167,257,162,256,254,168,169,252,253,250,251,246,188,187])).
% 131.11/131.79 cnf(12063,plain,
% 131.11/131.79 (P3(x120631,x120632,x120632,x120631)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(12068,plain,
% 131.11/131.79 (P3(x120681,x120682,x120682,x120681)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(12073,plain,
% 131.11/131.79 (P5(a1,a17,a1,f4(a17,a1,a1))),
% 131.11/131.79 inference(scs_inference,[],[11718,11781,11916,11988,9659,9822,10249,11783,11906,11986,11711,12022,11851,11566,11064,8221,8396,12060,12063,12068,222,152,255,167,257,162,256,254,168,169,252,253,250,251,246,188,187,174,176,175,186])).
% 131.11/131.79 cnf(12077,plain,
% 131.11/131.79 (P5(a16,a2,a16,a16)),
% 131.11/131.79 inference(scs_inference,[],[11718,11781,11916,11988,9659,9822,10249,11783,11906,11981,11986,11711,12022,11851,10786,11566,8780,11064,10672,8221,8396,12060,12063,12068,222,152,255,167,257,162,256,254,168,169,252,253,250,251,246,188,187,174,176,175,186,191,171])).
% 131.11/131.79 cnf(12082,plain,
% 131.11/131.79 (P5(a1,a2,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[11718,11781,11916,11988,9659,9822,10249,11783,11906,11981,11986,11711,12022,11851,11222,9816,10318,10786,11566,9651,8780,11064,10672,8221,8396,12060,12063,12068,222,152,255,167,257,162,256,254,168,169,252,253,250,251,246,188,187,174,176,175,186,191,171,189,241])).
% 131.11/131.79 cnf(12091,plain,
% 131.11/131.79 (P3(a2,a16,a1,a16)),
% 131.11/131.79 inference(scs_inference,[],[11718,11781,11916,11988,9659,9822,10249,11783,11906,11981,11986,11633,11711,11886,12022,11851,11222,9816,10318,10786,11566,9651,8780,11064,10456,10672,8221,8396,12060,12063,12068,222,152,255,167,257,162,256,254,168,169,252,253,250,251,246,188,187,174,176,175,186,191,171,189,241,221,192,179,239])).
% 131.11/131.79 cnf(12093,plain,
% 131.11/131.79 (P2(a1,a16,a3,a3)),
% 131.11/131.79 inference(scs_inference,[],[11718,11781,11916,11988,9659,9822,10249,11783,11906,11967,11981,11986,11633,11711,11886,12022,11851,11222,9816,10318,10786,11566,9651,8780,11064,10456,10672,8221,8396,12060,12063,12068,222,152,255,167,257,162,256,254,168,169,252,253,250,251,246,188,187,174,176,175,186,191,171,189,241,221,192,179,239,182])).
% 131.11/131.79 cnf(12095,plain,
% 131.11/131.79 (P7(f23(a1,a16,a1,a16,a2,a2),a1,a16)),
% 131.11/131.79 inference(scs_inference,[],[11718,11781,11916,11988,9659,9822,10249,11783,11906,11967,11981,11986,11633,11711,11886,12022,11851,11222,9816,10318,10786,11566,9107,9651,8780,11064,10456,10672,8221,8396,12060,12063,12068,222,152,255,167,257,162,256,254,168,169,252,253,250,251,246,188,187,174,176,175,186,191,171,189,241,221,192,179,239,182,201])).
% 131.11/131.79 cnf(12102,plain,
% 131.11/131.79 (P9(a16,a2,a16,a1,a2,a1,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[11718,11781,11916,11988,9659,9822,10249,11783,11906,11967,11979,11981,11986,10533,11633,11711,11886,12007,12022,11851,11222,9816,10318,10786,11566,9107,9651,8780,11064,10456,10672,8712,8221,8174,8396,12060,12063,12068,222,152,255,167,257,162,256,254,168,169,252,253,250,251,246,188,187,174,176,175,186,191,171,189,241,221,192,179,239,182,201,234,225,260])).
% 131.11/131.79 cnf(12106,plain,
% 131.11/131.79 (P10(x121061,x121062,x121062,x121061)),
% 131.11/131.79 inference(rename_variables,[],[8201])).
% 131.11/131.79 cnf(12111,plain,
% 131.11/131.79 (P7(f7(a1,a16,a16),a1,a16)),
% 131.11/131.79 inference(scs_inference,[],[11718,11781,11916,11988,9659,9822,10249,11783,11906,11967,11979,11981,11986,10533,11633,11711,11886,12007,12022,11851,9605,11222,9816,11859,10318,8901,10564,10786,11566,9107,9651,8780,11064,10456,10672,8712,8221,8174,8264,8396,12060,12063,12068,8201,222,152,255,167,257,162,256,254,168,169,252,253,250,251,246,188,187,174,176,175,186,191,171,189,241,221,192,179,239,182,201,234,225,260,190,226,184])).
% 131.11/131.79 cnf(12114,plain,
% 131.11/131.79 (P7(a2,a2,a1)),
% 131.11/131.79 inference(scs_inference,[],[11718,11781,11916,11988,9659,9822,10249,11641,11783,11906,11967,11979,11981,11986,10533,11633,11711,11886,12007,12022,11851,9605,11222,9816,11859,10318,8901,10564,10786,11566,9107,10205,9651,8780,11064,10456,10672,8712,8221,8174,8264,8396,12060,12063,12068,8201,645,222,152,255,167,257,162,256,254,168,169,252,253,250,251,246,188,187,174,176,175,186,191,171,189,241,221,192,179,239,182,201,234,225,260,190,226,184,160])).
% 131.11/131.79 cnf(12117,plain,
% 131.11/131.79 (P7(f19(a16,a1),a2,a2)),
% 131.11/131.79 inference(scs_inference,[],[11718,11781,11916,11988,9659,9822,10249,11641,11783,11906,11967,11979,11981,11986,10533,11633,11711,11886,12007,12022,11851,9605,11222,9816,11546,11859,10318,10069,8901,10564,10786,11566,9107,10205,9651,8780,11064,10456,10672,8712,8221,8174,8264,8396,12060,12063,12068,8201,645,222,152,255,167,257,162,256,254,168,169,252,253,250,251,246,188,187,174,176,175,186,191,171,189,241,221,192,179,239,182,201,234,225,260,190,226,184,160,173])).
% 131.11/131.79 cnf(12121,plain,
% 131.11/131.79 (P10(x121211,x121212,x121212,x121211)),
% 131.11/131.79 inference(rename_variables,[],[8201])).
% 131.11/131.79 cnf(12129,plain,
% 131.11/131.79 (P10(a17,f6(a1,a17,a17),a3,a2)),
% 131.11/131.79 inference(scs_inference,[],[11718,11781,11916,11988,9659,9822,10249,11641,11783,11906,11967,11979,11981,11986,10533,11633,11711,11918,11886,12007,12022,11851,9605,11222,9816,11546,11859,10318,10069,8901,4352,10564,10786,11566,9107,10205,9651,8780,11064,10456,10672,8712,8334,8221,8174,8264,8396,12060,12063,12068,8201,12106,12121,645,222,152,255,167,257,162,256,254,168,169,252,253,250,251,246,188,187,174,176,175,186,191,171,189,241,221,192,179,239,182,201,234,225,260,190,226,184,160,173,205,204,249,328])).
% 131.11/131.79 cnf(12143,plain,
% 131.11/131.79 (P3(a3,a2,a2,a18)),
% 131.11/131.79 inference(scs_inference,[],[11718,11781,11916,11988,9659,9822,10249,11641,11783,11906,11967,11979,11981,11986,10533,9859,11633,11711,11918,11886,12007,12022,11851,9605,11222,9816,11546,11859,8326,10318,10069,8901,4352,10564,10786,11566,9107,10205,9651,8780,11064,9033,10456,10014,10672,8712,8334,8221,8174,8264,8396,12060,12063,12068,8201,12106,12121,645,222,152,255,167,257,162,256,254,168,169,252,253,250,251,246,188,187,174,176,175,186,191,171,189,241,221,192,179,239,182,201,234,225,260,190,226,184,160,173,205,204,249,328,185,793,199,198,203,202,193])).
% 131.11/131.79 cnf(12164,plain,
% 131.11/131.79 (P10(a17,f5(a17,a1,a17),a3,a2)),
% 131.11/131.79 inference(scs_inference,[],[12062,328])).
% 131.11/131.79 cnf(12166,plain,
% 131.11/131.79 (P7(a2,a1,a2)),
% 131.11/131.79 inference(scs_inference,[],[12114,12062,328,152])).
% 131.11/131.79 cnf(12168,plain,
% 131.11/131.79 (P8(a2,a1,a17,a2,a1,a1,a17,a17)),
% 131.11/131.79 inference(scs_inference,[],[10390,12114,12062,328,152,255])).
% 131.11/131.79 cnf(12172,plain,
% 131.11/131.79 (P4(f5(a2,a3,a2),a3,f5(a2,a3,a2),f5(a2,a3,a2))),
% 131.11/131.79 inference(scs_inference,[],[9757,10390,12114,11792,12062,328,152,255,257,167])).
% 131.11/131.79 cnf(12176,plain,
% 131.11/131.79 (P8(a1,a1,a2,a1,a3,a3,a3,a2)),
% 131.11/131.79 inference(scs_inference,[],[9757,9961,10390,12114,11792,12129,12062,328,152,255,257,167,162,254])).
% 131.11/131.79 cnf(12178,plain,
% 131.11/131.79 (P8(a2,a17,a2,a1,a17,a17,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[9757,9961,10390,12114,11792,12129,12062,328,152,255,257,167,162,254,256])).
% 131.11/131.79 cnf(12180,plain,
% 131.11/131.79 (P4(a17,a17,x121801,a17)),
% 131.11/131.79 inference(scs_inference,[],[12034,9757,9961,10390,12114,11792,12129,12062,328,152,255,257,167,162,254,256,168])).
% 131.11/131.79 cnf(12182,plain,
% 131.11/131.79 (P4(a1,a1,a2,a16)),
% 131.11/131.79 inference(scs_inference,[],[12034,9757,9961,10390,12044,12114,11792,12129,12062,328,152,255,257,167,162,254,256,168,169])).
% 131.11/131.79 cnf(12184,plain,
% 131.11/131.79 (P9(a2,a1,a1,a1,a16,a2,a16,a1)),
% 131.11/131.79 inference(scs_inference,[],[11900,12034,9757,9961,10390,12044,12114,11792,12129,12062,328,152,255,257,167,162,254,256,168,169,252])).
% 131.11/131.79 cnf(12186,plain,
% 131.11/131.79 (P9(a1,a1,a1,a2,a1,a16,a2,a16)),
% 131.11/131.79 inference(scs_inference,[],[11900,12034,9757,9961,10390,11872,12044,12114,11792,12129,12062,328,152,255,257,167,162,254,256,168,169,252,250])).
% 131.11/131.79 cnf(12188,plain,
% 131.11/131.79 (P9(a1,a2,a16,a2,a1,a1,a16,a1)),
% 131.11/131.79 inference(scs_inference,[],[11900,12034,9757,9961,10390,11872,12044,12114,11792,12129,12062,328,152,255,257,167,162,254,256,168,169,252,250,253])).
% 131.11/131.79 cnf(12190,plain,
% 131.11/131.79 (P9(a1,a1,a1,a2,a16,a1,a16,a2)),
% 131.11/131.79 inference(scs_inference,[],[11900,12034,9757,9961,10390,11872,12044,12114,11792,12129,12062,328,152,255,257,167,162,254,256,168,169,252,250,253,251])).
% 131.11/131.79 cnf(12192,plain,
% 131.11/131.79 (P7(f13(a16,a1,a16,a2,a16),a2,a16)),
% 131.11/131.79 inference(scs_inference,[],[11900,12034,9757,9961,10390,11872,12044,12114,11015,11792,11557,12129,12062,328,152,255,257,167,162,254,256,168,169,252,250,253,251,159])).
% 131.11/131.79 cnf(12194,plain,
% 131.11/131.79 (P10(a2,a2,a1,a1)),
% 131.11/131.79 inference(scs_inference,[],[11900,12034,9757,9961,10390,11872,12044,12114,11015,11792,11557,12129,12062,328,152,255,257,167,162,254,256,168,169,252,250,253,251,159,155])).
% 131.11/131.79 cnf(12197,plain,
% 131.11/131.79 (P9(x121971,x121972,x121972,x121971,x121973,x121974,x121973,x121974)),
% 131.11/131.79 inference(rename_variables,[],[8219])).
% 131.11/131.79 cnf(12203,plain,
% 131.11/131.79 (P3(x122031,x122032,x122032,x122031)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(12206,plain,
% 131.11/131.79 (P5(x122061,a3,x122061,a3)),
% 131.11/131.79 inference(rename_variables,[],[9033])).
% 131.11/131.79 cnf(12209,plain,
% 131.11/131.79 (P10(x122091,x122092,x122091,x122092)),
% 131.11/131.79 inference(rename_variables,[],[8169])).
% 131.11/131.79 cnf(12212,plain,
% 131.11/131.79 (P3(x122121,x122122,x122122,x122121)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(12215,plain,
% 131.11/131.79 (P3(x122151,x122152,x122152,x122151)),
% 131.11/131.79 inference(rename_variables,[],[8396])).
% 131.11/131.79 cnf(12221,plain,
% 131.11/131.79 (P5(x122211,a3,x122211,a3)),
% 131.11/131.79 inference(rename_variables,[],[9033])).
% 131.11/131.79 cnf(12227,plain,
% 131.11/131.79 (P10(f23(x122271,x122271,a2,a1,a16,a2),a16,x122271,a1)),
% 131.11/131.79 inference(scs_inference,[],[11900,12034,9757,9961,10390,11872,12044,12082,12114,12143,11015,11792,11557,12117,12129,12062,11967,11986,10205,11566,4600,9033,12206,10456,8219,12197,8396,12203,12212,12215,8169,328,152,255,257,167,162,254,256,168,169,252,250,253,251,159,155,248,244,188,197,820,187,175,176,199,174,191,203])).
% 131.11/131.79 cnf(12234,plain,
% 131.11/131.79 (P5(a1,a2,a1,f4(a2,a1,a1))),
% 131.11/131.79 inference(scs_inference,[],[11900,12034,9757,9961,10390,11872,12044,12082,12114,12143,10817,11015,11792,11557,12117,12129,12062,11967,11986,10205,11566,4600,9033,12206,12221,10456,8219,12197,8396,12203,12212,12215,8169,328,152,255,257,167,162,254,256,168,169,252,250,253,251,159,155,248,244,188,197,820,187,175,176,199,174,191,203,198,171,186])).
% 131.11/131.79 cnf(12236,plain,
% 131.11/131.79 (P10(f23(a2,a1,x122361,x122361,a2,a16),a16,a2,x122361)),
% 131.11/131.79 inference(scs_inference,[],[11900,12034,9757,9961,10390,11872,12044,12082,12114,12143,10817,11015,11792,11557,12117,12129,12062,11967,11986,10205,11566,4600,9033,12206,12221,10456,8219,12197,8396,12203,12212,12215,8169,328,152,255,257,167,162,254,256,168,169,252,250,253,251,159,155,248,244,188,197,820,187,175,176,199,174,191,203,198,171,186,202])).
% 131.11/131.79 cnf(12251,plain,
% 131.11/131.79 (P3(a2,a3,a2,a18)),
% 131.11/131.79 inference(scs_inference,[],[11900,12034,9757,9961,10390,11872,12044,12082,12114,12143,10817,11015,11792,11557,11206,12117,12129,12062,8394,11967,11986,10205,11566,4600,9033,12206,12221,10456,10014,8219,12197,8330,8264,8396,12203,12212,12215,8169,328,152,255,257,167,162,254,256,168,169,252,250,253,251,159,155,248,244,188,197,820,187,175,176,199,174,191,203,198,171,186,202,189,221,241,192,179,239])).
% 131.11/131.79 cnf(12252,plain,
% 131.11/131.79 (P9(x122521,x122522,x122523,x122524,x122522,x122521,x122523,x122524)),
% 131.11/131.79 inference(rename_variables,[],[8330])).
% 131.11/131.79 cnf(12256,plain,
% 131.11/131.79 (P7(f23(a2,a1,a2,a1,a2,a2),a2,a1)),
% 131.11/131.79 inference(scs_inference,[],[11900,12034,9757,9961,10390,11872,12044,12077,12082,12114,12143,10817,11015,11792,11557,11206,12117,12129,12062,8394,11967,11986,10205,11566,4600,9033,12206,12221,10456,10014,8219,12197,8330,8264,8396,12203,12212,12215,8169,328,152,255,257,167,162,254,256,168,169,252,250,253,251,159,155,248,244,188,197,820,187,175,176,199,174,191,203,198,171,186,202,189,221,241,192,179,239,182,201])).
% 131.11/131.79 cnf(12260,plain,
% 131.11/131.79 (P4(a2,f21(a2,a2,a1,a2),a2,a2)),
% 131.11/131.79 inference(scs_inference,[],[11900,12034,9757,9818,9961,10390,11872,12044,12077,12082,12114,12143,10817,11015,10742,11792,11557,11206,12117,12129,12062,8994,8394,11967,11986,10205,11566,4600,9033,12206,12221,10456,10014,8219,12197,8330,12252,8264,8396,12203,12212,12215,8169,328,152,255,257,167,162,254,256,168,169,252,250,253,251,159,155,248,244,188,197,820,187,175,176,199,174,191,203,198,171,186,202,189,221,241,192,179,239,182,201,261,234])).
% 131.11/131.79 cnf(12270,plain,
% 131.11/131.79 (P3(a16,a1,a1,a2)),
% 131.11/131.79 inference(scs_inference,[],[11007,11900,12034,9757,9818,9961,10390,11872,12044,12077,12082,12114,12143,10817,11015,10742,11792,11424,11557,11991,11206,12117,12129,12062,8994,8394,12007,11967,9790,11986,10205,11566,4600,11595,9033,12206,12221,10456,10014,10672,8219,12197,8330,12252,8264,8396,12203,12212,12215,8169,328,152,255,257,167,162,254,256,168,169,252,250,253,251,159,155,248,244,188,197,820,187,175,176,199,174,191,203,198,171,186,202,189,221,241,192,179,239,182,201,261,234,225,260,190,193])).
% 131.11/131.79 cnf(12274,plain,
% 131.11/131.79 (P7(a1,a3,a3)),
% 131.11/131.79 inference(scs_inference,[],[11007,11900,12034,9757,9818,9961,10390,11872,12044,12077,12082,12114,12143,10817,11164,11015,10742,11792,11424,11557,11991,11206,12117,12129,12062,8375,8994,8394,12007,11967,9790,11986,8901,11272,10205,11566,4478,4600,11595,9033,12206,12221,10456,10014,10672,8219,12197,8330,12252,8264,8396,12203,12212,12215,8169,328,152,255,257,167,162,254,256,168,169,252,250,253,251,159,155,248,244,188,197,820,187,175,176,199,174,191,203,198,171,186,202,189,221,241,192,179,239,182,201,261,234,225,260,190,193,226,160])).
% 131.11/131.79 cnf(12277,plain,
% 131.11/131.79 (P10(x122771,x122772,x122772,x122771)),
% 131.11/131.79 inference(rename_variables,[],[8201])).
% 131.11/131.79 cnf(12282,plain,
% 131.11/131.79 (P5(a3,a3,a2,a2)),
% 131.11/131.79 inference(scs_inference,[],[11007,11900,12034,9757,9818,9961,10390,11872,12044,12077,12082,12114,12143,10817,11164,11015,10742,11792,11424,11557,11991,11206,12117,11866,12129,12062,8375,8994,8394,12007,11967,6669,6677,9790,11986,8901,11272,10205,11566,4478,4600,11595,9033,12206,12221,10456,10014,10672,8219,12197,8330,12252,8334,8264,8396,12203,12212,12215,8201,12277,8169,328,152,255,257,167,162,254,256,168,169,252,250,253,251,159,155,248,244,188,197,820,187,175,176,199,174,191,203,198,171,186,202,189,221,241,192,179,239,182,201,261,234,225,260,190,193,226,160,205,204,249])).
% 131.11/131.79 cnf(12285,plain,
% 131.11/131.79 (P8(a1,a1,a2,a1,a3,a2,a2,a3)),
% 131.11/131.80 inference(scs_inference,[],[11007,11900,12034,9757,9818,9961,10390,11872,12044,12077,12082,12114,12143,10817,11164,11015,10742,11792,11424,11557,11991,11206,12117,11866,12129,12062,8375,8994,8394,12007,11967,6669,6677,9790,11986,8901,11272,10205,11566,4478,4600,11595,9033,12206,12221,10456,10014,10672,8219,12197,8330,12252,8334,8264,8396,12203,12212,12215,8201,12277,8169,328,152,255,257,167,162,254,256,168,169,252,250,253,251,159,155,248,244,188,197,820,187,175,176,199,174,191,203,198,171,186,202,189,221,241,192,179,239,182,201,261,234,225,260,190,193,226,160,205,204,249,6192])).
% 131.11/131.80 cnf(12287,plain,
% 131.11/131.80 (P8(a18,a18,a3,a18,a1,a3,a3,a1)),
% 131.11/131.80 inference(scs_inference,[],[11007,11900,12034,9757,9818,9961,10390,11872,12044,12077,12082,12114,12143,10817,11164,11015,10742,11792,11424,11557,11991,11206,12117,11866,12129,12062,8375,8994,8394,12007,11967,6669,6677,9790,11986,8901,11272,10205,11566,4478,4600,11595,9033,12206,12221,10456,10014,10672,8219,12197,8330,12252,8334,8264,8396,12203,12212,12215,8201,12277,8169,328,152,255,257,167,162,254,256,168,169,252,250,253,251,159,155,248,244,188,197,820,187,175,176,199,174,191,203,198,171,186,202,189,221,241,192,179,239,182,201,261,234,225,260,190,193,226,160,205,204,249,6192,5310])).
% 131.11/131.80 cnf(12289,plain,
% 131.11/131.80 (P7(a1,a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[11007,11900,12034,9757,9818,9961,10390,11872,12044,12077,12082,12114,12143,10817,11164,11015,10742,11792,11424,11557,11991,11206,12117,11866,12129,12062,8375,8994,8394,12007,11967,6669,6677,9790,11986,8901,11272,10205,11566,4478,4600,11595,9033,12206,12221,10456,10014,10672,8219,12197,8330,12252,8334,8264,8396,12203,12212,12215,8201,12277,8169,328,152,255,257,167,162,254,256,168,169,252,250,253,251,159,155,248,244,188,197,820,187,175,176,199,174,191,203,198,171,186,202,189,221,241,192,179,239,182,201,261,234,225,260,190,193,226,160,205,204,249,6192,5310,790])).
% 131.11/131.80 cnf(12295,plain,
% 131.11/131.80 (P4(a16,a16,x122951,x122951)),
% 131.11/131.80 inference(scs_inference,[],[11007,11900,12034,12046,9757,9818,9961,10390,11872,12044,12077,12082,12114,12143,10817,11164,11015,10742,11792,11424,11557,11991,11206,12117,11866,12129,12062,8375,8994,8394,12007,11967,6669,6677,9790,11986,8901,11272,10205,11566,4478,4600,11595,9033,12206,12221,10456,10014,10672,8219,12197,8330,12252,8334,8264,8396,12203,12212,12215,8201,12277,8169,328,152,255,257,167,162,254,256,168,169,252,250,253,251,159,155,248,244,188,197,820,187,175,176,199,174,191,203,198,171,186,202,189,221,241,192,179,239,182,201,261,234,225,260,190,193,226,160,205,204,249,6192,5310,790,185,10549,183])).
% 131.11/131.80 cnf(12297,plain,
% 131.11/131.80 (P3(a2,a16,a16,a16)),
% 131.11/131.80 inference(scs_inference,[],[11007,11900,12034,12046,9757,9818,9961,10390,11872,12044,12077,12082,12114,12143,10817,11164,11015,10742,11792,11424,11557,11991,11206,12117,11866,12129,12062,8375,8994,8394,12007,11967,6669,6677,9790,11986,8901,5407,11272,10205,11566,4478,4600,11595,9033,12206,12221,10456,10014,10672,8219,12197,8330,12252,8334,8264,8396,12203,12212,12215,8201,12277,8169,328,152,255,257,167,162,254,256,168,169,252,250,253,251,159,155,248,244,188,197,820,187,175,176,199,174,191,203,198,171,186,202,189,221,241,192,179,239,182,201,261,234,225,260,190,193,226,160,205,204,249,6192,5310,790,185,10549,183,170])).
% 131.11/131.80 cnf(12306,plain,
% 131.11/131.80 (P10(a2,a2,a2,a1)),
% 131.11/131.80 inference(scs_inference,[],[11007,11900,12034,12046,9757,9818,9961,10390,11872,12044,12077,12082,12114,12143,10817,11164,11015,10742,11792,11424,11557,11991,11206,12117,11866,12129,12062,8375,8994,8394,12007,11967,6669,6677,9790,11986,8901,6769,5407,11272,10205,11566,4478,4600,11595,9033,12206,12221,10456,10014,10672,8219,12197,8330,12252,8334,8221,8264,8396,12203,12212,12215,8201,12277,8169,12209,328,152,255,257,167,162,254,256,168,169,252,250,253,251,159,155,248,244,188,197,820,187,175,176,199,174,191,203,198,171,186,202,189,221,241,192,179,239,182,201,261,234,225,260,190,193,226,160,205,204,249,6192,5310,790,185,10549,183,170,195,245,196,238])).
% 131.11/131.80 cnf(12314,plain,
% 131.11/131.80 (P8(a1,a1,a2,a1,a17,a17,a17,a2)),
% 131.11/131.80 inference(scs_inference,[],[10398,255])).
% 131.11/131.80 cnf(12316,plain,
% 131.11/131.80 (P7(f23(a1,a16,a1,a16,a2,a2),a16,a1)),
% 131.11/131.80 inference(scs_inference,[],[10398,12095,255,152])).
% 131.11/131.80 cnf(12322,plain,
% 131.11/131.80 (P10(a2,a2,a1,a2)),
% 131.11/131.80 inference(scs_inference,[],[11449,10398,12306,12095,12260,255,152,257,167,162])).
% 131.11/131.80 cnf(12328,plain,
% 131.11/131.80 (P4(a16,x123281,a16,x123281)),
% 131.11/131.80 inference(scs_inference,[],[11449,12295,10111,10398,12306,12095,12260,255,152,257,167,162,254,256,168])).
% 131.11/131.80 cnf(12330,plain,
% 131.11/131.80 (P4(a17,a17,a17,x123301)),
% 131.11/131.80 inference(scs_inference,[],[11449,12295,12180,10111,10398,12306,12095,12260,255,152,257,167,162,254,256,168,169])).
% 131.11/131.80 cnf(12332,plain,
% 131.11/131.80 (P9(a2,a1,a16,a1,a2,a16,a16,a16)),
% 131.11/131.80 inference(scs_inference,[],[11449,12295,12180,10111,10398,11525,12306,12095,12260,255,152,257,167,162,254,256,168,169,252])).
% 131.11/131.80 cnf(12336,plain,
% 131.11/131.80 (P9(a1,a1,a2,a1,a1,a16,a2,a16)),
% 131.11/131.80 inference(scs_inference,[],[12028,11449,12295,12180,10111,10398,11525,11926,12306,12095,12260,255,152,257,167,162,254,256,168,169,252,250,253])).
% 131.11/131.80 cnf(12338,plain,
% 131.11/131.80 (P9(a16,a1,a16,a2,a1,a2,a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[12028,11449,12295,12180,10111,10398,11525,11926,11993,12306,12095,12260,255,152,257,167,162,254,256,168,169,252,250,253,251])).
% 131.11/131.80 cnf(12340,plain,
% 131.11/131.80 (P5(a2,f23(a16,a2,a16,a2,a16,a16),a16,f23(a16,a2,a16,a2,a16,a16))),
% 131.11/131.80 inference(scs_inference,[],[12028,11449,12297,12295,12180,10111,10398,11525,11926,11993,12306,12030,12095,12260,255,152,257,167,162,254,256,168,169,252,250,253,251,172])).
% 131.11/131.80 cnf(12342,plain,
% 131.11/131.80 (P10(a1,a1,a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[12028,11449,12297,12295,12180,10111,10398,11525,11926,11993,12289,12306,12030,12095,12260,255,152,257,167,162,254,256,168,169,252,250,253,251,172,156])).
% 131.11/131.80 cnf(12347,plain,
% 131.11/131.80 (P9(x123471,x123472,x123472,x123471,x123473,x123474,x123473,x123474)),
% 131.11/131.80 inference(rename_variables,[],[8219])).
% 131.11/131.80 cnf(12356,plain,
% 131.11/131.80 (P3(x123561,x123562,x123562,x123561)),
% 131.11/131.80 inference(rename_variables,[],[8396])).
% 131.11/131.80 cnf(12361,plain,
% 131.11/131.80 (P10(a1,a2,a1,a1)),
% 131.11/131.80 inference(scs_inference,[],[12028,11449,12297,12295,12180,10111,10398,11525,11926,11993,12289,12306,10738,12030,12095,12260,9243,10708,11855,8219,12347,8221,8396,8169,255,152,257,167,162,254,256,168,169,252,250,253,251,172,156,153,248,246,244,188,820,238])).
% 131.11/131.80 cnf(12365,plain,
% 131.11/131.80 (P3(x123651,x123652,x123652,x123651)),
% 131.11/131.80 inference(rename_variables,[],[8396])).
% 131.11/131.80 cnf(12368,plain,
% 131.11/131.80 (P3(x123681,x123682,x123682,x123681)),
% 131.11/131.80 inference(rename_variables,[],[8396])).
% 131.11/131.80 cnf(12376,plain,
% 131.11/131.80 (P5(a2,x123761,a2,x123761)),
% 131.11/131.80 inference(rename_variables,[],[10014])).
% 131.11/131.80 cnf(12391,plain,
% 131.11/131.80 (P5(a16,a3,a16,a2)),
% 131.11/131.80 inference(scs_inference,[],[12028,12166,11449,12297,12295,12180,10111,10398,11525,11771,11926,11993,12282,12289,12306,10738,11611,12030,12095,12260,9243,12077,11713,10708,11382,11855,10014,8219,12347,8221,8396,12356,12365,12368,8169,255,152,257,167,162,254,256,168,169,252,250,253,251,172,156,153,248,246,244,188,820,238,187,176,175,174,191,186,203,202,171,221,189,241])).
% 131.11/131.80 cnf(12396,plain,
% 131.11/131.80 (P3(a18,a2,f7(a18,a18,a3),f7(a18,a18,a3))),
% 131.11/131.80 inference(scs_inference,[],[12028,12166,11449,12297,12295,12180,10111,10398,11525,11771,11926,11993,12282,12289,12306,10738,11611,12030,12095,10839,12260,9243,12077,11713,10708,11382,11855,10014,12376,8219,12347,8221,8396,12356,12365,12368,8169,255,152,257,167,162,254,256,168,169,252,250,253,251,172,156,153,248,246,244,188,820,238,187,176,175,174,191,186,203,202,171,221,189,241,192,179])).
% 131.11/131.80 cnf(12398,plain,
% 131.11/131.80 (P3(a1,a2,a16,a1)),
% 131.11/131.80 inference(scs_inference,[],[12028,12166,11449,12297,12295,12180,10111,10398,11525,11771,11926,11993,12282,12289,12306,10738,11611,12030,12095,10839,12260,9243,12077,11713,10708,11382,11855,10014,12376,8219,12347,8221,8396,12356,12365,12368,8169,255,152,257,167,162,254,256,168,169,252,250,253,251,172,156,153,248,246,244,188,820,238,187,176,175,174,191,186,203,202,171,221,189,241,192,179,239])).
% 131.11/131.80 cnf(12402,plain,
% 131.11/131.80 (P7(f23(a1,a2,a1,a2,a2,a2),a1,a2)),
% 131.11/131.80 inference(scs_inference,[],[12028,12166,11449,12297,12295,12180,10111,10398,11525,11771,11926,11993,12282,12289,12306,10738,11611,9578,12030,12095,10839,12260,9243,12077,11713,10708,11382,11855,10014,12376,8219,12347,8221,8396,12356,12365,12368,8169,255,152,257,167,162,254,256,168,169,252,250,253,251,172,156,153,248,246,244,188,820,238,187,176,175,174,191,186,203,202,171,221,189,241,192,179,239,182,201])).
% 131.11/131.80 cnf(12404,plain,
% 131.11/131.80 (P4(a16,a16,f13(a3,a1,a1,a2,a16),a2)),
% 131.11/131.80 inference(scs_inference,[],[12028,12166,11449,12297,12295,12180,10111,10398,11525,11771,11926,11993,12282,12289,12306,10738,11611,9578,12030,12095,10839,12260,9243,12077,11713,10708,11382,11855,10014,12376,8219,12347,8221,8174,8396,12356,12365,12368,8169,255,152,257,167,162,254,256,168,169,252,250,253,251,172,156,153,248,246,244,188,820,238,187,176,175,174,191,186,203,202,171,221,189,241,192,179,239,182,201,234])).
% 131.11/131.80 cnf(12407,plain,
% 131.11/131.80 (P9(a16,a3,a16,a3,a1,a3,a1,a1)),
% 131.11/131.80 inference(scs_inference,[],[12028,12166,11449,12297,12295,12180,10111,10398,11525,11771,11926,11993,12093,12274,12282,12289,12306,10738,11611,9578,12030,12095,10839,12260,9243,12077,11713,10708,11382,11855,10014,12376,8219,12347,8221,8174,8396,12356,12365,12368,8169,255,152,257,167,162,254,256,168,169,252,250,253,251,172,156,153,248,246,244,188,820,238,187,176,175,174,191,186,203,202,171,221,189,241,192,179,239,182,201,234,225])).
% 131.11/131.80 cnf(12409,plain,
% 131.11/131.80 (P9(a1,a1,a16,a1,a2,a1,a16,a2)),
% 131.11/131.80 inference(scs_inference,[],[12028,12166,11449,12297,12295,12180,10111,10398,11525,11771,11922,11926,11993,12093,12274,12282,12289,12306,10738,11611,9578,12030,12095,10839,12260,9243,11009,12077,11713,10708,11382,11855,10014,12376,8219,12347,8221,8174,8396,12356,12365,12368,8169,255,152,257,167,162,254,256,168,169,252,250,253,251,172,156,153,248,246,244,188,820,238,187,176,175,174,191,186,203,202,171,221,189,241,192,179,239,182,201,234,225,260])).
% 131.11/131.80 cnf(12412,plain,
% 131.11/131.80 (P4(a16,f4(a16,a3,a3),f4(a16,a3,a3),f4(a16,a3,a3))),
% 131.11/131.80 inference(scs_inference,[],[12028,12166,11449,12297,12295,12180,10111,10398,11525,11771,11922,11926,11993,12093,12274,12282,12289,12306,10738,11611,9578,12030,12095,10839,12260,9243,11009,12077,11713,10708,11382,11855,10014,12376,8219,12347,8221,8174,8396,12356,12365,12368,8169,255,152,257,167,162,254,256,168,169,252,250,253,251,172,156,153,248,246,244,188,820,238,187,176,175,174,191,186,203,202,171,221,189,241,192,179,239,182,201,234,225,260,194])).
% 131.11/131.80 cnf(12415,plain,
% 131.11/131.80 (P4(a16,a16,x124151,x124151)),
% 131.11/131.80 inference(rename_variables,[],[12295])).
% 131.11/131.80 cnf(12417,plain,
% 131.11/131.80 (P3(a2,a1,a1,a16)),
% 131.11/131.80 inference(scs_inference,[],[12028,12166,11449,12297,12295,12180,10111,10398,11525,11771,11922,11926,11993,12093,12182,12274,12282,12289,12306,10738,11611,9578,12030,12095,10839,12260,9243,11009,12077,11465,11713,9421,10708,11382,11855,11595,10014,12376,10672,8219,12347,8221,8174,8396,12356,12365,12368,8169,255,152,257,167,162,254,256,168,169,252,250,253,251,172,156,153,248,246,244,188,820,238,187,176,175,174,191,186,203,202,171,221,189,241,192,179,239,182,201,234,225,260,194,190,193])).
% 131.11/131.80 cnf(12419,plain,
% 131.11/131.80 (P7(f7(a2,a3,a18),a2,a18)),
% 131.11/131.80 inference(scs_inference,[],[12028,12166,11449,12297,12295,12180,10111,10398,11525,11771,11922,11926,11993,12093,12182,12251,12274,12282,12289,12306,10738,11611,9578,12030,12095,10839,12260,9243,11009,12077,11465,11761,11713,9421,10708,11382,11855,11595,10014,12376,10672,8219,12347,8221,8174,8264,8396,12356,12365,12368,8169,255,152,257,167,162,254,256,168,169,252,250,253,251,172,156,153,248,246,244,188,820,238,187,176,175,174,191,186,203,202,171,221,189,241,192,179,239,182,201,234,225,260,194,190,193,184])).
% 131.11/131.80 cnf(12422,plain,
% 131.11/131.80 (P7(f23(a2,a1,a2,a1,a2,a2),a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[12028,12166,11449,12297,12295,12180,10111,10398,11525,11771,11922,11926,11993,12093,12182,12251,12274,12282,12289,12306,10738,11611,9578,12030,12095,12256,10839,12260,9243,11009,12077,11465,11761,11713,9421,10708,11382,11855,11595,10014,12376,10672,8219,12347,8221,8174,8264,8396,12356,12365,12368,8169,255,152,257,167,162,254,256,168,169,252,250,253,251,172,156,153,248,246,244,188,820,238,187,176,175,174,191,186,203,202,171,221,189,241,192,179,239,182,201,234,225,260,194,190,193,184,173])).
% 131.11/131.80 cnf(12428,plain,
% 131.11/131.80 (P5(a16,a16,x124281,x124281)),
% 131.11/131.80 inference(scs_inference,[],[142,11278,12028,12166,11449,12297,12295,12415,12180,10111,10398,11525,11771,11922,11926,11993,12093,12182,12251,12274,12282,12289,12306,10738,11611,9578,12030,12095,12256,10839,12260,9243,11009,9826,12077,11465,11761,11713,9421,10708,4476,11382,11855,11595,10014,12376,10672,8219,12347,8334,8221,8174,8264,8396,12356,12365,12368,8169,255,152,257,167,162,254,256,168,169,252,250,253,251,172,156,153,248,246,244,188,820,238,187,176,175,174,191,186,203,202,171,221,189,241,192,179,239,182,201,234,225,260,194,190,193,184,173,207,206,249])).
% 131.11/131.80 cnf(12431,plain,
% 131.11/131.80 (P8(a17,a17,a2,a17,a3,a2,a2,a3)),
% 131.11/131.80 inference(scs_inference,[],[142,11278,12028,12166,11449,12297,12295,12415,12180,10111,10398,11525,11771,11922,11926,11993,12093,12182,12251,12274,12282,12289,12306,10738,11611,9578,12030,12095,12256,10839,12260,9243,11009,9826,12077,11465,11761,11713,9421,10708,4476,11382,11855,11595,10014,12376,10672,8219,12347,8334,8221,8174,8264,8396,12356,12365,12368,8169,255,152,257,167,162,254,256,168,169,252,250,253,251,172,156,153,248,246,244,188,820,238,187,176,175,174,191,186,203,202,171,221,189,241,192,179,239,182,201,234,225,260,194,190,193,184,173,207,206,249,6192])).
% 131.11/131.80 cnf(12433,plain,
% 131.11/131.80 (P8(a1,a1,a1,a1,a17,a1,a1,a1)),
% 131.11/131.80 inference(scs_inference,[],[142,11278,12028,12166,11449,12297,12295,12415,12180,10111,10398,11525,11771,11922,11926,11993,12093,12182,12251,12274,12282,12289,12306,10738,11611,9578,12030,12095,12256,10839,12260,9243,11009,9826,12077,11465,11761,11713,9421,10708,4476,11382,11855,11595,10014,12376,10672,8219,12347,8334,8221,8174,8264,8396,12356,12365,12368,8169,255,152,257,167,162,254,256,168,169,252,250,253,251,172,156,153,248,246,244,188,820,238,187,176,175,174,191,186,203,202,171,221,189,241,192,179,239,182,201,234,225,260,194,190,193,184,173,207,206,249,6192,4796])).
% 131.11/131.80 cnf(12468,plain,
% 131.11/131.80 (P7(f23(a1,a2,a1,a2,a16,a16),a2,a1)),
% 131.11/131.80 inference(scs_inference,[],[12287,12328,11984,222,255,152])).
% 131.11/131.80 cnf(12472,plain,
% 131.11/131.80 (P4(x124721,a16,a16,x124721)),
% 131.11/131.80 inference(scs_inference,[],[12287,12328,11984,222,255,152,257,167])).
% 131.11/131.80 cnf(12480,plain,
% 131.11/131.80 (P4(f5(a2,a3,a2),f5(a2,a3,a2),a3,f5(a2,a3,a2))),
% 131.11/131.80 inference(scs_inference,[],[12287,12328,10442,12164,12172,11984,222,255,152,257,167,162,254,256,168])).
% 131.11/131.80 cnf(12482,plain,
% 131.11/131.80 (P4(a16,x124821,x124821,a16)),
% 131.11/131.80 inference(scs_inference,[],[12287,12328,10442,12164,12172,11984,222,255,152,257,167,162,254,256,168,169])).
% 131.11/131.80 cnf(12484,plain,
% 131.11/131.80 (P9(a1,a2,a1,a1,a2,a16,a1,a16)),
% 131.11/131.80 inference(scs_inference,[],[12287,12328,10442,12052,12164,12172,11984,222,255,152,257,167,162,254,256,168,169,252])).
% 131.11/131.80 cnf(12488,plain,
% 131.11/131.80 (P9(a16,a2,a2,a1,a16,a16,a16,a1)),
% 131.11/131.80 inference(scs_inference,[],[12287,12328,10442,12052,12054,12188,12164,12172,11984,222,255,152,257,167,162,254,256,168,169,252,250,253])).
% 131.11/131.80 cnf(12490,plain,
% 131.11/131.80 (P9(a16,a1,a16,a2,a1,a1,a2,a1)),
% 131.11/131.80 inference(scs_inference,[],[12287,12328,10442,12052,12054,12102,12188,12164,12172,11984,222,255,152,257,167,162,254,256,168,169,252,250,253,251])).
% 131.11/131.80 cnf(12493,plain,
% 131.11/131.80 (P3(x124931,x124932,x124932,x124931)),
% 131.11/131.80 inference(rename_variables,[],[8396])).
% 131.11/131.80 cnf(12496,plain,
% 131.11/131.80 (P5(a16,a16,x124961,x124961)),
% 131.11/131.80 inference(rename_variables,[],[12428])).
% 131.11/131.80 cnf(12499,plain,
% 131.11/131.80 (P3(x124991,x124992,x124992,x124991)),
% 131.11/131.80 inference(rename_variables,[],[8396])).
% 131.11/131.80 cnf(12501,plain,
% 131.11/131.80 (P10(a16,a2,a16,a1)),
% 131.11/131.80 inference(scs_inference,[],[12287,12328,12428,10442,12052,12054,12102,12188,12361,12417,12164,12172,11984,11759,11705,8396,12493,222,255,152,257,167,162,254,256,168,169,252,250,253,251,188,197,187,238])).
% 131.11/131.80 cnf(12504,plain,
% 131.11/131.80 (P3(x125041,x125042,x125042,x125041)),
% 131.11/131.80 inference(rename_variables,[],[8396])).
% 131.11/131.80 cnf(12507,plain,
% 131.11/131.80 (P5(a16,a16,x125071,x125071)),
% 131.11/131.80 inference(rename_variables,[],[12428])).
% 131.11/131.80 cnf(12520,plain,
% 131.11/131.80 (P5(a16,a16,x125201,x125201)),
% 131.11/131.80 inference(rename_variables,[],[12428])).
% 131.11/131.80 cnf(12522,plain,
% 131.11/131.80 (P5(f13(a1,a18,a18,a2,a2),a2,f13(a1,a18,a18,a2,a2),a2)),
% 131.11/131.80 inference(scs_inference,[],[12287,12328,12428,12496,12507,10442,12052,12054,12102,12188,12361,12398,12417,12164,12172,11984,12422,9687,11759,12274,12289,11559,11705,8396,12493,12499,12504,8169,222,255,152,257,167,162,254,256,168,169,252,250,253,251,188,197,187,238,176,199,820,175,191,203,198,171])).
% 131.11/131.80 cnf(12530,plain,
% 131.11/131.80 (P5(a2,a1,a17,a2)),
% 131.11/131.80 inference(scs_inference,[],[12287,12328,12428,12496,12507,10442,12052,12054,12102,12168,12188,12270,12361,12398,12417,12164,11902,12172,11984,12422,9687,11645,11759,12274,12289,10363,11559,11705,8396,12493,12499,12504,8169,222,255,152,257,167,162,254,256,168,169,252,250,253,251,188,197,187,238,176,199,820,175,191,203,198,171,202,221,189,241])).
% 131.11/131.80 cnf(12537,plain,
% 131.11/131.80 (P3(a16,a16,a2,a16)),
% 131.11/131.80 inference(scs_inference,[],[12287,12328,12428,12496,12507,10442,12052,12054,12102,12168,12188,12270,12361,12398,12417,12164,11902,12172,12340,11984,12422,9687,11645,11759,11152,12274,12289,10363,11559,11705,8396,12493,12499,12504,8169,222,255,152,257,167,162,254,256,168,169,252,250,253,251,188,197,187,238,176,199,820,175,191,203,198,171,202,221,189,241,179,192,239])).
% 131.11/131.80 cnf(12539,plain,
% 131.11/131.80 (P2(a16,a3,a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[12287,12328,12428,12496,12507,10442,12052,12054,12102,12168,12188,12270,12361,12391,12398,12417,12164,11902,12172,12340,11984,12422,9687,11645,11759,11152,12274,12289,10363,11559,11705,8396,12493,12499,12504,8169,222,255,152,257,167,162,254,256,168,169,252,250,253,251,188,197,187,238,176,199,820,175,191,203,198,171,202,221,189,241,179,192,239,182])).
% 131.11/131.80 cnf(12541,plain,
% 131.11/131.80 (P7(f23(a3,a3,a3,a3,a1,a1),a3,a3)),
% 131.11/131.80 inference(scs_inference,[],[12287,12328,12428,12496,12507,10442,12052,12054,12102,12168,12188,12270,12361,12391,12398,12417,12164,11902,12172,12340,11984,12422,9687,11645,11759,11152,12274,12289,10363,11559,11705,8396,12493,12499,12504,8169,222,255,152,257,167,162,254,256,168,169,252,250,253,251,188,197,187,238,176,199,820,175,191,203,198,171,202,221,189,241,179,192,239,182,201])).
% 131.11/131.80 cnf(12547,plain,
% 131.11/131.80 (P9(a16,a3,a16,a3,a3,a3,a1,a3)),
% 131.11/131.80 inference(scs_inference,[],[12287,12328,12428,12496,12507,10442,12052,12054,12102,12168,12188,12190,12270,12361,12391,12398,12407,12417,12164,11902,12172,10392,12340,11984,12422,9687,9880,11645,11759,11152,12274,12289,10363,11003,11559,11705,4362,8396,12493,12499,12504,8169,222,255,152,257,167,162,254,256,168,169,252,250,253,251,188,197,187,238,176,199,820,175,191,203,198,171,202,221,189,241,179,192,239,182,201,234,225,260])).
% 131.11/131.80 cnf(12550,plain,
% 131.11/131.80 (P4(a3,a2,a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[12287,12328,12428,12496,12507,10442,12052,12054,12102,12168,12188,12190,12270,12361,12391,12398,12407,12417,12164,11902,12172,10392,12340,11984,12422,9687,9880,11645,11759,11152,12274,12289,10363,11003,11559,11705,4362,8396,12493,12499,12504,8169,222,255,152,257,167,162,254,256,168,169,252,250,253,251,188,197,187,238,176,199,820,175,191,203,198,171,202,221,189,241,179,192,239,182,201,234,225,260,194])).
% 131.11/131.80 cnf(12555,plain,
% 131.11/131.80 (P3(a16,a16,a16,a3)),
% 131.11/131.80 inference(scs_inference,[],[12287,12328,12428,12496,12507,12520,10442,12052,12054,12102,12168,12188,12190,12270,12361,12391,12398,12407,12417,12164,11902,12172,10392,12340,11984,12422,9687,9880,11645,11759,11152,12274,12289,12046,10363,11003,11559,9814,11705,4362,9033,8396,12493,12499,12504,8169,222,255,152,257,167,162,254,256,168,169,252,250,253,251,188,197,187,238,176,199,820,175,191,203,198,171,202,221,189,241,179,192,239,182,201,234,225,260,194,190,193])).
% 131.11/131.80 cnf(12560,plain,
% 131.11/131.80 (P7(f7(a3,a1,a3),a3,a3)),
% 131.11/131.80 inference(scs_inference,[],[12287,12328,12428,12496,12507,12520,10442,12052,12054,12102,12168,12188,12190,12270,12361,12391,12398,12407,12417,12164,11902,12172,10392,12340,11984,12422,9687,9880,11645,11759,11152,12274,12289,12046,10363,11003,11559,9814,10276,11705,8750,4362,9033,8396,12493,12499,12504,8169,222,255,152,257,167,162,254,256,168,169,252,250,253,251,188,197,187,238,176,199,820,175,191,203,198,171,202,221,189,241,179,192,239,182,201,234,225,260,194,190,193,184])).
% 131.11/131.80 cnf(12563,plain,
% 131.11/131.80 (P7(f13(a16,a1,a16,a2,a16),a16,a2)),
% 131.11/131.80 inference(scs_inference,[],[12287,12328,12428,12496,12507,12520,10442,12052,12054,12102,12168,12188,12190,12270,12361,12391,12398,12407,12417,12164,11902,12172,10392,12340,11984,12192,12422,9687,9880,11645,11759,11152,12274,12289,12046,10363,11003,11559,9814,8901,10276,11705,8750,4362,9033,8396,12493,12499,12504,8201,8169,222,255,152,257,167,162,254,256,168,169,252,250,253,251,188,197,187,238,176,199,820,175,191,203,198,171,202,221,189,241,179,192,239,182,201,234,225,260,194,190,193,184,173])).
% 131.11/131.80 cnf(12570,plain,
% 131.11/131.80 (P5(a17,a17,x125701,x125701)),
% 131.11/131.80 inference(scs_inference,[],[12287,12328,12428,12496,12507,12520,12330,10442,12052,12054,12102,12168,12188,12190,12270,12322,12361,12391,12398,12407,12417,12164,11902,12172,10392,12340,11984,12192,12422,9687,9880,11645,11759,11152,12274,11278,12289,12046,10363,11003,11559,9814,8901,10276,4476,11705,8750,12114,4362,9033,8519,8396,12493,12499,12504,8201,8169,645,222,255,152,257,167,162,254,256,168,169,252,250,253,251,188,197,187,238,176,199,820,175,191,203,198,171,202,221,189,241,179,192,239,182,201,234,225,260,194,190,193,184,173,207,206,249])).
% 131.11/131.80 cnf(12576,plain,
% 131.11/131.80 (P8(a3,a18,a18,a18,a3,a3,a3,a1)),
% 131.11/131.80 inference(scs_inference,[],[12287,12328,12428,12496,12507,12520,12330,10442,12052,12054,12102,12168,12188,12190,12270,12322,12361,12391,12398,12407,12417,12164,11902,12172,10392,12340,11984,12192,12422,9687,9880,11645,11759,11152,12274,11278,12289,12046,10363,11003,11559,9814,8901,10276,4476,11705,8750,12114,4362,9033,8519,8396,12493,12499,12504,8201,8169,645,222,255,152,257,167,162,254,256,168,169,252,250,253,251,188,197,187,238,176,199,820,175,191,203,198,171,202,221,189,241,179,192,239,182,201,234,225,260,194,190,193,184,173,207,206,249,5363])).
% 131.11/131.80 cnf(12611,plain,
% 131.11/131.80 (P9(a16,x126111,a16,a16,x126111,x126111,x126111,a16)),
% 131.11/131.80 inference(scs_inference,[],[12285,12472,255,222])).
% 131.11/131.80 cnf(12613,plain,
% 131.11/131.80 (P7(f7(a16,a1,a2),a2,a16)),
% 131.11/131.80 inference(scs_inference,[],[12285,12472,12004,255,222,152])).
% 131.11/131.80 cnf(12617,plain,
% 131.11/131.80 (P4(x126171,a16,x126171,a16)),
% 131.11/131.80 inference(scs_inference,[],[12285,12472,12482,12004,255,222,152,257,167])).
% 131.11/131.80 cnf(12619,plain,
% 131.11/131.80 (P10(a16,a2,a1,a16)),
% 131.11/131.80 inference(scs_inference,[],[12285,12472,12482,12501,12004,255,222,152,257,167,162])).
% 131.11/131.80 cnf(12621,plain,
% 131.11/131.80 (P8(a3,a2,a2,a3,a1,a1,a2,a1)),
% 131.11/131.80 inference(scs_inference,[],[12285,12472,12482,12501,12004,255,222,152,257,167,162,254])).
% 131.11/131.80 cnf(12623,plain,
% 131.11/131.80 (P8(a17,a2,a2,a17,a1,a1,a17,a1)),
% 131.11/131.80 inference(scs_inference,[],[12285,12472,12482,10558,12501,12004,255,222,152,257,167,162,254,256])).
% 131.11/131.80 cnf(12625,plain,
% 131.11/131.80 (P4(a16,f13(a3,a1,a1,a2,a16),a16,a2)),
% 131.11/131.80 inference(scs_inference,[],[12285,12472,12482,10558,12501,12004,12404,255,222,152,257,167,162,254,256,168])).
% 131.11/131.80 cnf(12627,plain,
% 131.11/131.80 (P4(f5(a2,a3,a2),f5(a2,a3,a2),f5(a2,a3,a2),a3)),
% 131.11/131.80 inference(scs_inference,[],[12285,12472,12482,10558,12501,12480,12004,12404,255,222,152,257,167,162,254,256,168,169])).
% 131.11/131.80 cnf(12629,plain,
% 131.11/131.80 (P9(a1,a16,a16,a2,a1,a2,a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[12285,12472,12482,10558,12338,12501,12480,12004,12404,255,222,152,257,167,162,254,256,168,169,252])).
% 131.11/131.80 cnf(12633,plain,
% 131.11/131.80 (P9(a2,a1,a16,a2,a1,a1,a16,a1)),
% 131.11/131.80 inference(scs_inference,[],[12285,12184,12336,12472,12482,10558,12338,12501,12480,12004,12404,255,222,152,257,167,162,254,256,168,169,252,250,253])).
% 131.11/131.80 cnf(12635,plain,
% 131.11/131.80 (P9(a1,a1,a2,a1,a16,a1,a16,a2)),
% 131.11/131.80 inference(scs_inference,[],[12285,12184,12336,12472,12482,10558,12338,12501,12480,12004,12404,255,222,152,257,167,162,254,256,168,169,252,250,253,251])).
% 131.11/131.80 cnf(12640,plain,
% 131.11/131.80 (P10(a16,a2,a1,a1)),
% 131.11/131.80 inference(scs_inference,[],[12285,12184,12336,10782,12472,12482,10558,12338,12501,12480,12004,10155,12404,11816,255,222,152,257,167,162,254,256,168,169,252,250,253,251,181,177])).
% 131.11/131.80 cnf(12642,plain,
% 131.11/131.80 (P9(a3,a3,a3,a2,a2,a3,a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[12285,12184,12336,10782,12472,12482,10558,12338,12501,12539,12480,12004,10155,12404,11816,8933,255,222,152,257,167,162,254,256,168,169,252,250,253,251,181,177,227])).
% 131.11/131.80 cnf(12655,plain,
% 131.11/131.80 (P10(a2,a1,a1,a1)),
% 131.11/131.80 inference(scs_inference,[],[12285,12184,12336,10782,12472,12482,10558,12338,12501,12537,12539,12555,12480,12004,10155,12404,11816,9737,8933,12297,255,222,152,257,167,162,254,256,168,169,252,250,253,251,181,177,227,188,197,187,199,176,238])).
% 131.11/131.80 cnf(12662,plain,
% 131.11/131.80 (P10(x126621,x126622,x126622,x126621)),
% 131.11/131.80 inference(rename_variables,[],[8201])).
% 131.11/131.80 cnf(12666,plain,
% 131.11/131.80 (P5(a16,a16,a16,a3)),
% 131.11/131.80 inference(scs_inference,[],[12285,12184,12336,10782,12472,12482,10558,12338,12501,12537,12539,12555,12480,12004,10155,12541,12404,11816,9737,12077,9247,8933,12297,8201,255,222,152,257,167,162,254,256,168,169,252,250,253,251,181,177,227,188,197,187,199,176,238,175,191,820,198,171])).
% 131.11/131.80 cnf(12677,plain,
% 131.11/131.80 (P5(a17,a3,a1,a3)),
% 131.11/131.80 inference(scs_inference,[],[12285,12184,12336,10782,12472,12482,12570,10558,11912,12338,12501,12537,12539,12555,12468,12480,12004,10155,12522,12541,12404,11765,11816,9737,12077,9247,8933,12297,8201,255,222,152,257,167,162,254,256,168,169,252,250,253,251,181,177,227,188,197,187,199,176,238,175,191,820,198,171,221,189,179,192,241])).
% 131.11/131.80 cnf(12680,plain,
% 131.11/131.80 (P3(a2,a1,a16,a1)),
% 131.11/131.80 inference(scs_inference,[],[12285,12184,12336,10782,12472,12482,12570,10558,11912,12332,12338,12501,12537,12539,12555,12468,12480,12004,10155,12522,12541,12404,11765,11816,9737,12077,9247,8933,12297,8201,255,222,152,257,167,162,254,256,168,169,252,250,253,251,181,177,227,188,197,187,199,176,238,175,191,820,198,171,221,189,179,192,241,239])).
% 131.11/131.80 cnf(12684,plain,
% 131.11/131.80 (P7(f23(a2,a2,a2,a2,a1,a1),a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[12285,12184,12336,10782,12472,12482,12570,10558,11912,12332,12338,12501,12537,12539,12555,11617,12468,12480,12004,10155,12522,12541,12404,11765,11816,9737,12077,12289,9247,8933,12297,8201,255,222,152,257,167,162,254,256,168,169,252,250,253,251,181,177,227,188,197,187,199,176,238,175,191,820,198,171,221,189,179,192,241,239,182,201])).
% 131.11/131.80 cnf(12686,plain,
% 131.11/131.80 (P10(a2,a16,a16,a16)),
% 131.11/131.80 inference(scs_inference,[],[12285,12184,12336,10782,12472,12482,12570,10558,11912,12091,12332,12338,12501,12537,12539,12555,11617,12468,12480,12004,10155,12522,12541,12404,11765,11816,9737,12077,12289,11538,9247,8933,12297,8201,255,222,152,257,167,162,254,256,168,169,252,250,253,251,181,177,227,188,197,187,199,176,238,175,191,820,198,171,221,189,179,192,241,239,182,201,178])).
% 131.11/131.80 cnf(12688,plain,
% 131.11/131.80 (P4(f21(a1,a16,a1,a1),f21(a1,a16,a1,a1),a16,a1)),
% 131.11/131.80 inference(scs_inference,[],[12285,12184,12336,10782,12472,12482,12570,10558,11912,12091,12332,12338,12501,12537,12539,12555,11364,11617,12468,12480,12004,10155,12522,12541,12404,11765,11816,9737,12077,12289,11538,9247,8933,12297,8174,8201,255,222,152,257,167,162,254,256,168,169,252,250,253,251,181,177,227,188,197,187,199,176,238,175,191,820,198,171,221,189,179,192,241,239,182,201,178,234])).
% 131.11/131.80 cnf(12693,plain,
% 131.11/131.80 (P9(a2,a2,a2,a1,a2,a16,a1,a16)),
% 131.11/131.80 inference(scs_inference,[],[12285,12184,12336,10782,12472,12482,12570,10558,11912,12091,12332,12338,12484,12501,12537,12539,12555,11364,11617,12468,12480,12004,10155,12522,12541,12404,9792,11765,10843,11816,9737,12077,12289,11538,9247,8933,12297,8174,8201,255,222,152,257,167,162,254,256,168,169,252,250,253,251,181,177,227,188,197,187,199,176,238,175,191,820,198,171,221,189,179,192,241,239,182,201,178,234,225,260])).
% 131.11/131.80 cnf(12706,plain,
% 131.11/131.80 (P7(f23(a1,a2,a1,a2,a2,a2),a2,a1)),
% 131.11/131.80 inference(scs_inference,[],[12285,12184,12336,10782,12472,12482,12570,10558,11912,12091,12194,12332,12338,12342,12484,12501,12537,12539,12555,11364,11617,12468,12480,12004,10155,12522,12402,12541,12404,12111,9792,11765,10859,10843,11816,9737,12077,12289,11721,11538,9247,8933,12297,9033,9784,8174,8264,8201,12662,255,222,152,257,167,162,254,256,168,169,252,250,253,251,181,177,227,188,197,187,199,176,238,175,191,820,198,171,221,189,179,192,241,239,182,201,178,234,225,260,193,190,184,173])).
% 131.11/131.80 cnf(12720,plain,
% 131.11/131.80 (P5(a16,a16,a16,f4(a16,a3,a16))),
% 131.11/131.80 inference(scs_inference,[],[12285,12184,12336,10782,12472,12482,12570,10558,11912,12091,12194,12332,12338,12342,12484,12501,12537,12539,12555,11364,11617,12468,12480,12004,10155,12522,12402,12541,12404,12111,9792,9545,11521,11765,10859,10843,371,11816,9737,12166,12077,12289,11721,11538,9247,4899,8933,12297,9033,8519,9784,8174,8264,8201,12662,255,222,152,257,167,162,254,256,168,169,252,250,253,251,181,177,227,188,197,187,199,176,238,175,191,820,198,171,221,189,179,192,241,239,182,201,178,234,225,260,193,190,184,173,207,206,249,232,186])).
% 131.11/131.80 cnf(12722,plain,
% 131.11/131.80 (P1(a16,a16,f4(a16,a3,a16))),
% 131.11/131.80 inference(scs_inference,[],[12285,12184,12336,10782,12472,12482,12570,10558,11912,12091,12194,12332,12338,12342,12484,12501,12537,12539,12555,11364,11617,12468,12480,12004,10155,12522,12402,12541,12404,12111,9792,9545,11521,11765,10859,10843,371,11816,9737,12166,12077,12289,11721,11538,9247,4899,8933,12297,9033,8519,9784,8174,8264,8201,12662,255,222,152,257,167,162,254,256,168,169,252,250,253,251,181,177,227,188,197,187,199,176,238,175,191,820,198,171,221,189,179,192,241,239,182,201,178,234,225,260,193,190,184,173,207,206,249,232,186,174])).
% 131.11/131.80 cnf(12726,plain,
% 131.11/131.80 (P9(x127261,x127261,x127261,a16,a16,x127261,a16,a16)),
% 131.11/131.80 inference(scs_inference,[],[12617,222])).
% 131.11/131.80 cnf(12734,plain,
% 131.11/131.80 (P4(a2,a3,a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[12431,12617,12550,12419,222,255,152,257,167])).
% 131.11/131.80 cnf(12744,plain,
% 131.11/131.80 (P4(f21(a1,a16,a1,a1),f21(a1,a16,a1,a1),a1,a16)),
% 131.11/131.80 inference(scs_inference,[],[12431,12576,12617,12550,12419,12688,12227,222,255,152,257,167,162,256,254,168,169])).
% 131.11/131.80 cnf(12746,plain,
% 131.11/131.80 (P9(x127461,a16,a16,a16,x127461,x127461,x127461,a16)),
% 131.11/131.80 inference(scs_inference,[],[12431,12576,12611,12617,12550,12419,12688,12227,222,255,152,257,167,162,256,254,168,169,252])).
% 131.11/131.80 cnf(12748,plain,
% 131.11/131.80 (P9(a3,a3,a1,a3,a16,a3,a16,a3)),
% 131.11/131.80 inference(scs_inference,[],[12431,12576,12611,12617,12547,12550,12419,12688,12227,222,255,152,257,167,162,256,254,168,169,252,250])).
% 131.11/131.80 cnf(12750,plain,
% 131.11/131.80 (P9(a16,x127501,x127501,x127501,a16,a16,x127501,a16)),
% 131.11/131.80 inference(scs_inference,[],[12431,12576,12611,12617,12547,12550,12419,12688,12227,222,255,152,257,167,162,256,254,168,169,252,250,253])).
% 131.11/131.80 cnf(12752,plain,
% 131.11/131.80 (P9(a16,a1,a1,a1,a16,a2,a2,a1)),
% 131.11/131.80 inference(scs_inference,[],[12431,12576,12611,12617,12409,12547,12550,12419,12688,12227,222,255,152,257,167,162,256,254,168,169,252,250,253,251])).
% 131.11/131.80 cnf(12754,plain,
% 131.11/131.80 (P9(a16,a16,a1,a16,a1,a16,a1,a2)),
% 131.11/131.80 inference(scs_inference,[],[12431,12576,12611,12617,12409,12547,12550,12619,12419,12688,12227,8998,222,255,152,257,167,162,256,254,168,169,252,250,253,251,228])).
% 131.11/131.80 cnf(12763,plain,
% 131.11/131.80 (P10(a1,a2,a1,a16)),
% 131.11/131.80 inference(scs_inference,[],[12431,12576,12611,12617,12409,12547,12550,12619,12666,12686,12419,12688,12227,10613,11290,8998,12417,222,255,152,257,167,162,256,254,168,169,252,250,253,251,228,240,197,199,238])).
% 131.11/131.80 cnf(12776,plain,
% 131.11/131.80 (P5(f8(a18,a18,a18,a18),a18,f8(a18,a18,a18,a18),a18)),
% 131.11/131.80 inference(scs_inference,[],[12431,12576,12611,12617,12409,12547,12550,12619,12666,12686,12419,12688,12227,12560,11775,10613,11290,8998,12417,9936,9629,12555,8201,222,255,152,257,167,162,256,254,168,169,252,250,253,251,228,240,197,199,238,191,820,198,189,221,171])).
% 131.11/131.80 cnf(12781,plain,
% 131.11/131.80 (P3(a17,a1,a3,a3)),
% 131.11/131.80 inference(scs_inference,[],[12431,12576,12611,12617,12409,12547,12550,12619,12666,12677,12686,12419,12688,12227,12560,11775,10613,11290,8998,12417,9936,9629,12555,8201,222,255,152,257,167,162,256,254,168,169,252,250,253,251,228,240,197,199,238,191,820,198,189,221,171,192,179])).
% 131.11/131.80 cnf(12783,plain,
% 131.11/131.80 (P5(a2,a17,a2,a1)),
% 131.11/131.80 inference(scs_inference,[],[12431,12576,12611,12617,12178,12409,12547,12550,12619,12666,12677,12686,12419,12688,12227,12560,11775,10613,11290,12570,8998,12417,9936,9629,12555,8201,222,255,152,257,167,162,256,254,168,169,252,250,253,251,228,240,197,199,238,191,820,198,189,221,171,192,179,241])).
% 131.11/131.80 cnf(12786,plain,
% 131.11/131.80 (P3(a16,a2,a16,a16)),
% 131.11/131.80 inference(scs_inference,[],[12431,12576,12611,12617,12178,12409,12547,12550,12619,12666,12677,12680,12686,12419,12688,12227,12560,11775,10613,11290,12570,12054,8998,12417,9936,9629,12555,8201,222,255,152,257,167,162,256,254,168,169,252,250,253,251,228,240,197,199,238,191,820,198,189,221,171,192,179,241,239])).
% 131.11/131.80 cnf(12788,plain,
% 131.11/131.80 (P2(a16,a16,a3,a3)),
% 131.11/131.80 inference(scs_inference,[],[12431,12576,12611,12617,12178,12409,12547,12550,12619,12666,12677,12680,12686,12419,12688,12227,12560,11775,10613,11290,12570,12054,8998,12417,9936,9629,12555,8201,222,255,152,257,167,162,256,254,168,169,252,250,253,251,228,240,197,199,238,191,820,198,189,221,171,192,179,241,239,182])).
% 131.11/131.80 cnf(12790,plain,
% 131.11/131.80 (P7(f23(a3,a2,a3,a2,a2,a2),a3,a2)),
% 131.11/131.80 inference(scs_inference,[],[12431,12576,12611,12617,12178,12409,12547,12550,12619,12666,12677,12680,12686,12419,12688,12227,12560,11775,10613,11290,12570,12054,8998,12417,9936,9629,12555,8461,8201,222,255,152,257,167,162,256,254,168,169,252,250,253,251,228,240,197,199,238,191,820,198,189,221,171,192,179,241,239,182,201])).
% 131.11/131.80 cnf(12795,plain,
% 131.11/131.80 (P4(a3,a2,a3,a2)),
% 131.11/131.80 inference(scs_inference,[],[12431,12576,12611,12617,12178,12409,12547,12550,12619,12642,12666,12677,12680,12686,12419,12688,12227,12560,11775,10613,11290,12570,12054,8998,12417,9936,9629,4352,12555,8461,8201,222,255,152,257,167,162,256,254,168,169,252,250,253,251,228,240,197,199,238,191,820,198,189,221,171,192,179,241,239,182,201,180,234])).
% 131.11/131.80 cnf(12799,plain,
% 131.11/131.80 (P9(a16,a2,a2,a1,f9(a16,a16,a1),a16,f9(a16,a16,a1),f19(a16,a1))),
% 131.11/131.80 inference(scs_inference,[],[12431,12576,12611,12617,12178,12409,12488,12547,12550,12619,12642,12666,12677,12680,12686,12419,12688,12227,9062,12560,8908,11775,10613,11290,12570,12054,8998,12417,9936,9629,4352,12555,8461,8201,222,255,152,257,167,162,256,254,168,169,252,250,253,251,228,240,197,199,238,191,820,198,189,221,171,192,179,241,239,182,201,180,234,225,260])).
% 131.11/131.80 cnf(12809,plain,
% 131.11/131.80 (P7(f7(a16,a16,a3),a16,a3)),
% 131.11/131.80 inference(scs_inference,[],[12431,12576,12611,12617,12178,12409,12488,12547,12550,12619,12642,12666,12677,12680,12686,12627,12419,12688,12227,12613,9062,12560,8908,11775,10613,11290,12570,12054,11323,8998,12417,9936,9629,4352,12555,8461,8750,9033,9784,8201,8169,222,255,152,257,167,162,256,254,168,169,252,250,253,251,228,240,197,199,238,191,820,198,189,221,171,192,179,241,239,182,201,180,234,225,260,193,190,184])).
% 131.11/131.80 cnf(12812,plain,
% 131.11/131.80 (P7(f23(a1,a2,a1,a2,a2,a2),a1,a1)),
% 131.11/131.80 inference(scs_inference,[],[12431,12576,12611,12617,12178,12409,12488,12547,12550,12619,12642,12655,12666,12677,12680,12686,12627,12419,12688,12227,12706,12613,9062,12560,8908,11775,10613,11290,12570,12054,11323,8998,12417,9936,9629,4352,12555,8461,8750,9033,9784,8201,8169,222,255,152,257,167,162,256,254,168,169,252,250,253,251,228,240,197,199,238,191,820,198,189,221,171,192,179,241,239,182,201,180,234,225,260,193,190,184,173])).
% 131.11/131.80 cnf(12827,plain,
% 131.11/131.80 (P9(x128271,x128272,x128273,x128274,x128272,x128271,x128274,x128273)),
% 131.11/131.80 inference(rename_variables,[],[8712])).
% 131.11/131.80 cnf(12831,plain,
% 131.11/131.80 (P9(a16,a16,a16,f13(a3,a1,a1,a2,a16),a2,a16,a2,f13(a3,a1,a1,a2,a16))),
% 131.11/131.80 inference(scs_inference,[],[12433,12625,8712,7081,255,222])).
% 131.11/131.80 cnf(12833,plain,
% 131.11/131.80 (P7(f23(a3,a2,a3,a2,a2,a2),a2,a3)),
% 131.11/131.80 inference(scs_inference,[],[12433,12790,12625,8712,7081,255,222,152])).
% 131.11/131.80 cnf(12835,plain,
% 131.11/131.80 (P4(a2,a3,a3,a2)),
% 131.11/131.80 inference(scs_inference,[],[12433,12795,12790,12625,8712,7081,255,222,152,167])).
% 131.11/131.80 cnf(12837,plain,
% 131.11/131.80 (P8(a1,a1,a17,a1,a1,a1,a1,a1)),
% 131.11/131.80 inference(scs_inference,[],[12433,12795,12790,12625,8712,7081,255,222,152,167,257])).
% 131.11/131.80 cnf(12839,plain,
% 131.11/131.80 (P10(a1,a2,a16,a1)),
% 131.11/131.80 inference(scs_inference,[],[12433,12763,12795,12790,12625,8712,7081,255,222,152,167,257,162])).
% 131.11/131.80 cnf(12845,plain,
% 131.11/131.80 (P4(a2,a2,a3,a2)),
% 131.11/131.80 inference(scs_inference,[],[12433,10653,12734,12763,12795,12790,12625,8712,7081,255,222,152,167,257,162,254,256,168])).
% 131.11/131.80 cnf(12847,plain,
% 131.11/131.80 (P4(a3,a2,a2,a3)),
% 131.11/131.80 inference(scs_inference,[],[12433,10653,12734,12763,12795,12790,12625,8712,7081,255,222,152,167,257,162,254,256,168,169])).
% 131.11/131.80 cnf(12849,plain,
% 131.11/131.80 (P9(x128491,a16,x128491,x128491,a16,a16,x128491,a16)),
% 131.11/131.80 inference(scs_inference,[],[12433,12750,10653,12734,12763,12795,12790,12625,8712,7081,255,222,152,167,257,162,254,256,168,169,252])).
% 131.11/131.80 cnf(12851,plain,
% 131.11/131.80 (P9(x128511,x128511,x128511,a16,x128511,a16,a16,a16)),
% 131.11/131.80 inference(scs_inference,[],[12433,12746,12750,10653,12734,12763,12795,12790,12625,8712,7081,255,222,152,167,257,162,254,256,168,169,252,250])).
% 131.11/131.80 cnf(12855,plain,
% 131.11/131.80 (P9(a16,a2,a2,a1,a16,a1,a1,a1)),
% 131.11/131.80 inference(scs_inference,[],[12433,12633,12726,12746,12750,10653,12734,12763,12795,12790,12625,8712,7081,255,222,152,167,257,162,254,256,168,169,252,250,253,251])).
% 131.11/131.80 cnf(12857,plain,
% 131.11/131.80 (P10(a2,a16,a1,a1)),
% 131.11/131.80 inference(scs_inference,[],[12433,12633,12726,12746,12750,10653,12640,12734,12763,12795,12790,12625,8712,12827,7081,255,222,152,167,257,162,254,256,168,169,252,250,253,251,238])).
% 131.11/131.80 cnf(12861,plain,
% 131.11/131.80 (P5(x128611,a3,x128611,a3)),
% 131.11/131.80 inference(rename_variables,[],[9033])).
% 131.11/131.80 cnf(12870,plain,
% 131.11/131.80 (P5(a18,f7(a18,a18,a3),a18,f7(a18,a18,a3))),
% 131.11/131.80 inference(scs_inference,[],[12433,12633,12726,12746,12750,10653,12640,12734,12763,12781,12795,12684,12396,12790,12625,8171,12143,9632,8712,12827,9033,8169,7081,255,222,152,167,257,162,254,256,168,169,252,250,253,251,238,191,820,221,189,171])).
% 131.11/131.80 cnf(12880,plain,
% 131.11/131.80 (P3(a1,a1,a2,a1)),
% 131.11/131.80 inference(scs_inference,[],[12433,12633,12635,12726,12746,12750,10653,12640,12734,12763,12781,12795,12684,12776,12396,12790,12625,12282,9665,8171,11859,12143,9632,8712,12827,9033,12861,8169,7081,255,222,152,167,257,162,254,256,168,169,252,250,253,251,238,191,820,221,189,171,192,179,241,239])).
% 131.11/131.80 cnf(12889,plain,
% 131.11/131.80 (P9(a16,a1,a16,a16,a1,a1,a16,a1)),
% 131.11/131.80 inference(scs_inference,[],[12433,12633,12635,12726,12746,12750,10653,12640,12734,12763,12781,12783,12788,12795,11603,12684,12776,12396,12790,12625,12282,9665,11922,12541,8171,11859,12143,9632,8712,12827,9033,12861,8174,8169,7081,255,222,152,167,257,162,254,256,168,169,252,250,253,251,238,191,820,221,189,171,192,179,241,239,182,234,225,260])).
% 131.11/131.80 cnf(12893,plain,
% 131.11/131.80 (P7(f7(a16,a2,a16),a16,a16)),
% 131.11/131.80 inference(scs_inference,[],[12433,12633,12635,12726,12746,12750,10653,12640,12734,12763,12781,12783,12786,12788,12795,11603,12684,12776,12396,12563,12790,12625,12282,9665,11922,12541,12468,11645,8171,11859,12143,9632,10954,8712,12827,9033,12861,8174,8169,7081,255,222,152,167,257,162,254,256,168,169,252,250,253,251,238,191,820,221,189,171,192,179,241,239,182,234,225,260,190,184])).
% 131.11/131.80 cnf(12898,plain,
% 131.11/131.80 (P5(a16,a2,a16,a2)),
% 131.11/131.80 inference(scs_inference,[],[12433,12633,12635,12726,12746,12750,10653,12640,12734,12763,12781,12783,12786,12788,12795,11603,12684,12776,12396,12563,12790,12625,12809,9681,12282,9665,11922,12541,12468,11645,8171,11765,9421,8876,12328,11859,12143,9632,10954,8712,12827,9033,12861,8174,8201,8169,7081,255,222,152,167,257,162,254,256,168,169,252,250,253,251,238,191,820,221,189,171,192,179,241,239,182,234,225,260,190,184,173,249])).
% 131.11/131.80 cnf(12944,plain,
% 131.11/131.80 (P9(a3,a2,a3,a3,a2,a2,a2,a3)),
% 131.11/131.80 inference(scs_inference,[],[10712,12835,255,222])).
% 131.11/131.80 cnf(12948,plain,
% 131.11/131.80 (P4(a2,a3,a2,a3)),
% 131.11/131.80 inference(scs_inference,[],[10712,10247,12835,12847,255,222,257,167])).
% 131.11/131.80 cnf(12956,plain,
% 131.11/131.80 (P8(a17,a2,a17,a2,a1,a1,a17,a1)),
% 131.11/131.80 inference(scs_inference,[],[10712,10247,10710,12835,12847,12236,10810,255,222,257,167,152,162,254,256])).
% 131.11/131.80 cnf(12958,plain,
% 131.11/131.80 (P4(f21(a1,a16,a1,a1),a1,f21(a1,a16,a1,a1),a16)),
% 131.11/131.80 inference(scs_inference,[],[10712,10247,10710,12835,12847,12744,12236,10810,255,222,257,167,152,162,254,256,168])).
% 131.11/131.80 cnf(12960,plain,
% 131.11/131.80 (P4(a2,a2,a2,a3)),
% 131.11/131.80 inference(scs_inference,[],[10712,10247,10710,12835,12845,12847,12744,12236,10810,255,222,257,167,152,162,254,256,168,169])).
% 131.11/131.80 cnf(12962,plain,
% 131.11/131.80 (P9(a1,a16,a16,a2,a1,a1,a2,a1)),
% 131.11/131.80 inference(scs_inference,[],[10712,12490,10247,10710,12835,12845,12847,12744,12236,10810,255,222,257,167,152,162,254,256,168,169,252])).
% 131.11/131.80 cnf(12964,plain,
% 131.11/131.80 (P9(a16,a16,x129641,a16,x129641,a16,x129641,x129641)),
% 131.11/131.80 inference(scs_inference,[],[10712,12490,12849,10247,10710,12835,12845,12847,12744,12236,10810,255,222,257,167,152,162,254,256,168,169,252,250])).
% 131.11/131.80 cnf(12966,plain,
% 131.11/131.80 (P9(a1,a1,a1,a16,a1,a2,a2,a16)),
% 131.11/131.80 inference(scs_inference,[],[10712,12490,12849,10247,10710,12186,12835,12845,12847,12744,12236,10810,255,222,257,167,152,162,254,256,168,169,252,250,253])).
% 131.11/131.80 cnf(12968,plain,
% 131.11/131.80 (P9(a16,a2,a1,a16,a2,a2,a1,a2)),
% 131.11/131.80 inference(scs_inference,[],[10712,12490,12849,10247,10710,12186,12629,12835,12845,12847,12744,12236,10810,255,222,257,167,152,162,254,256,168,169,252,250,253,251])).
% 131.11/131.80 cnf(12970,plain,
% 131.11/131.80 (P7(a1,a1,f4(a1,a16,a1))),
% 131.11/131.80 inference(scs_inference,[],[10712,12490,12849,10247,10710,12186,12629,12835,12845,12847,11963,11961,12744,12236,10810,255,222,257,167,152,162,254,256,168,169,252,250,253,251,159])).
% 131.11/131.80 cnf(12972,plain,
% 131.11/131.80 (P10(a16,a16,a1,a1)),
% 131.11/131.80 inference(scs_inference,[],[10712,12490,12849,10247,10710,12186,12629,12835,12845,12847,11963,11961,12744,12236,12316,10810,255,222,257,167,152,162,254,256,168,169,252,250,253,251,159,155])).
% 131.11/131.80 cnf(12974,plain,
% 131.11/131.80 (P4(a3,a3,a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[10712,12490,12849,10247,10710,12186,12629,12835,12845,12847,11963,11961,12744,12236,12316,10810,255,222,257,167,152,162,254,256,168,169,252,250,253,251,159,155,183])).
% 131.11/131.80 cnf(12977,plain,
% 131.11/131.80 (P9(x129771,x129772,x129773,x129774,x129772,x129771,x129773,x129774)),
% 131.11/131.80 inference(rename_variables,[],[8330])).
% 131.11/131.80 cnf(12980,plain,
% 131.11/131.80 (P9(x129801,x129802,x129803,x129804,x129802,x129801,x129803,x129804)),
% 131.11/131.80 inference(rename_variables,[],[8330])).
% 131.11/131.80 cnf(12989,plain,
% 131.11/131.80 (P3(x129891,x129892,x129892,x129891)),
% 131.11/131.80 inference(rename_variables,[],[8396])).
% 131.11/131.80 cnf(12993,plain,
% 131.11/131.80 (P10(f23(a3,a16,a3,a16,a16,a16),f23(a3,a16,a3,a16,a16,a16),f23(a3,a16,a3,a16,a16,a16),a16)),
% 131.11/131.80 inference(scs_inference,[],[10712,12490,12849,12851,10247,10710,12186,12629,12835,12845,12847,12880,12898,9330,11963,11961,12744,12236,12316,10810,8330,12977,10456,8396,255,222,257,167,152,162,254,256,168,169,252,250,253,251,159,155,183,243,247,188,176,187,174,175,238])).
% 131.11/131.80 cnf(12997,plain,
% 131.11/131.80 (P5(a16,a16,x129971,x129971)),
% 131.11/131.80 inference(rename_variables,[],[12428])).
% 131.11/131.80 cnf(13010,plain,
% 131.11/131.80 (P5(f5(a17,a17,a17),a17,f5(a17,a17,a17),a17)),
% 131.11/131.80 inference(scs_inference,[],[10712,12490,12849,12851,10247,10710,12186,12629,12835,12845,12847,12880,12898,9330,11963,11961,12744,12236,12316,10810,12786,12428,12997,8637,9351,8933,8330,12977,10456,8396,12989,255,222,257,167,152,162,254,256,168,169,252,250,253,251,159,155,183,243,247,188,176,187,174,175,238,191,186,221,189,192,171])).
% 131.11/131.80 cnf(13013,plain,
% 131.11/131.80 (P3(a16,a16,a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[10712,12490,12849,12851,10247,10710,12186,12629,12835,12845,12847,12880,12898,9330,11963,11961,12744,12236,12316,10810,12786,12428,12997,8637,9351,8933,8330,12977,10456,8396,12989,255,222,257,167,152,162,254,256,168,169,252,250,253,251,159,155,183,243,247,188,176,187,174,175,238,191,186,221,189,192,171,179])).
% 131.11/131.80 cnf(13015,plain,
% 131.11/131.80 (P5(a1,a1,a17,a1)),
% 131.11/131.80 inference(scs_inference,[],[10712,12490,12849,12851,10247,10710,12186,12629,12835,12837,12845,12847,12880,12898,9330,11963,11961,12744,12236,12316,10810,12786,12428,12997,8637,9351,10363,8933,8330,12977,10456,8396,12989,255,222,257,167,152,162,254,256,168,169,252,250,253,251,159,155,183,243,247,188,176,187,174,175,238,191,186,221,189,192,171,179,241])).
% 131.11/131.80 cnf(13021,plain,
% 131.11/131.80 (P2(a16,a2,a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[10712,12490,12849,12851,10247,10710,12186,12629,12835,12837,12845,12847,12880,12898,10076,9330,11963,11961,12744,12236,12316,10810,12786,12428,12997,8637,9351,10363,8933,8330,12977,12980,10456,8396,12989,255,222,257,167,152,162,254,256,168,169,252,250,253,251,159,155,183,243,247,188,176,187,174,175,238,191,186,221,189,192,171,179,241,239,182])).
% 131.11/131.80 cnf(13025,plain,
% 131.11/131.80 (P4(x130251,f21(a1,a1,a16,a1),a1,a1)),
% 131.11/131.80 inference(scs_inference,[],[10712,12490,12849,12851,10247,10710,12186,12629,12835,12837,12845,12847,12880,12898,10076,9330,10873,11963,11961,12744,12236,12316,10810,12786,12428,12997,8637,9351,10363,8933,8330,12977,12980,10456,8221,8396,12989,255,222,257,167,152,162,254,256,168,169,252,250,253,251,159,155,183,243,247,188,176,187,174,175,238,191,186,221,189,192,171,179,241,239,182,261,234])).
% 131.11/131.80 cnf(13030,plain,
% 131.11/131.80 (P9(a2,a16,a2,a2,a1,a16,a1,a2)),
% 131.11/131.80 inference(scs_inference,[],[10712,11785,12490,12849,12851,10247,10710,12186,12629,12835,12837,12845,12847,12880,12898,10076,9330,10873,11963,11961,11848,12744,12236,12316,10810,12786,12428,12997,8637,9351,10363,8933,8330,12977,12980,10456,8221,8396,12989,255,222,257,167,152,162,254,256,168,169,252,250,253,251,159,155,183,243,247,188,176,187,174,175,238,191,186,221,189,192,171,179,241,239,182,261,234,225,260])).
% 131.11/131.80 cnf(13034,plain,
% 131.11/131.80 (P10(x130341,x130342,x130342,x130341)),
% 131.11/131.80 inference(rename_variables,[],[8201])).
% 131.11/131.80 cnf(13036,plain,
% 131.11/131.80 (P2(f10(a1,a2,a16),a1,a2,a16)),
% 131.11/131.80 inference(scs_inference,[],[10712,11785,12490,12849,12851,10247,10710,12186,12629,12835,12837,12839,12845,12847,12880,12898,10076,9330,11366,10873,11963,11961,11848,12744,12236,12316,10810,12402,12786,12428,12997,11517,8637,9351,10363,8933,8330,12977,12980,10456,8221,8396,12989,8201,255,222,257,167,152,162,254,256,168,169,252,250,253,251,159,155,183,243,247,188,176,187,174,175,238,191,186,221,189,192,171,179,241,239,182,261,234,225,260,226,190])).
% 131.11/131.80 cnf(13038,plain,
% 131.11/131.80 (P7(a16,a16,a1)),
% 131.11/131.80 inference(scs_inference,[],[10712,11785,12490,12849,12851,10247,10710,12186,12629,12835,12837,12839,12845,12847,12857,12880,12898,10076,9330,11366,10873,11963,11961,11848,12744,12236,12316,10810,12402,12786,12428,12997,11517,8637,9351,10363,9069,8933,8330,12977,12980,10456,8221,8396,12989,8201,268,255,222,257,167,152,162,254,256,168,169,252,250,253,251,159,155,183,243,247,188,176,187,174,175,238,191,186,221,189,192,171,179,241,239,182,261,234,225,260,226,190,160])).
% 131.11/131.80 cnf(13043,plain,
% 131.11/131.80 (P7(f23(a1,a16,a1,a16,a2,a2),a1,a2)),
% 131.11/131.80 inference(scs_inference,[],[10712,11785,12490,12849,12851,10247,10710,12186,12629,12835,12837,12839,12845,12847,12857,12880,12898,10076,9330,11366,10873,11963,11961,11848,12744,12236,12316,10810,12095,12402,12786,12428,12997,9826,11517,8637,9351,10363,9069,10954,8933,8330,12977,12980,10456,8221,8264,8396,12989,8201,268,255,222,257,167,152,162,254,256,168,169,252,250,253,251,159,155,183,243,247,188,176,187,174,175,238,191,186,221,189,192,171,179,241,239,182,261,234,225,260,226,190,160,184,173])).
% 131.11/131.80 cnf(13046,plain,
% 131.11/131.80 (P10(x130461,x130462,x130462,x130461)),
% 131.11/131.80 inference(rename_variables,[],[8201])).
% 131.11/131.80 cnf(13056,plain,
% 131.11/131.80 (P7(f7(a3,a1,a3),a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[10712,11785,12490,12849,12851,10247,10710,12186,12629,12835,12837,12839,12845,12847,12857,12880,12898,10076,9330,11366,10873,11963,11961,11848,12744,12236,12316,10810,11641,12095,12402,12560,12786,12428,12997,9826,11517,8637,9351,10363,4970,8860,4841,9069,10954,8933,8330,12977,12980,10456,8334,8221,8264,8396,12989,8201,13034,13046,268,255,222,257,167,152,162,254,256,168,169,252,250,253,251,159,155,183,243,247,188,176,187,174,175,238,191,186,221,189,192,171,179,241,239,182,261,234,225,260,226,190,160,184,173,205,204,206,249,790])).
% 131.11/131.80 cnf(13066,plain,
% 131.11/131.80 (P7(f23(a16,a1,a16,a1,a16,a16),a16,a1)),
% 131.11/131.80 inference(scs_inference,[],[10712,11785,12490,12849,12851,10247,10710,12186,12629,12835,12837,12839,12845,12847,12857,12880,12898,10076,9330,11366,10873,11963,11961,11848,11880,12744,12236,12316,10810,11641,12095,12402,12560,12786,12428,12997,9826,11517,8637,9351,10363,4970,8860,4841,9069,10954,8933,8330,12977,12980,10456,8334,8221,8264,8396,12989,8201,13034,13046,268,255,222,257,167,152,162,254,256,168,169,252,250,253,251,159,155,183,243,247,188,176,187,174,175,238,191,186,221,189,192,171,179,241,239,182,261,234,225,260,226,190,160,184,173,205,204,206,249,790,185,170,203,202,201])).
% 131.11/131.80 cnf(13068,plain,
% 131.11/131.80 (P3(a16,a16,a16,a2)),
% 131.11/131.80 inference(scs_inference,[],[10712,11785,12490,12849,12851,10247,10710,12186,12629,12835,12837,12839,12845,12847,12857,12880,12898,10076,9330,11366,10873,11963,11961,11848,11880,12744,12236,12316,10810,11641,12095,12402,12560,12786,12428,12997,9826,11517,12046,8637,9351,10363,4970,8860,4841,9069,10954,8933,8330,12977,12980,9784,10456,8334,8221,8264,8396,12989,8201,13034,13046,268,255,222,257,167,152,162,254,256,168,169,252,250,253,251,159,155,183,243,247,188,176,187,174,175,238,191,186,221,189,192,171,179,241,239,182,261,234,225,260,226,190,160,184,173,205,204,206,249,790,185,170,203,202,201,193])).
% 131.11/131.80 cnf(13092,plain,
% 131.11/131.80 (P9(a2,a2,a2,a3,a3,a2,a3,a3)),
% 131.11/131.80 inference(scs_inference,[],[10562,12948,255,222])).
% 131.11/131.80 cnf(13096,plain,
% 131.11/131.80 (P7(a16,a1,a16)),
% 131.11/131.80 inference(scs_inference,[],[10562,12948,10255,13038,255,222,257,152])).
% 131.11/131.80 cnf(13098,plain,
% 131.11/131.80 (P4(f4(a16,a3,a3),a16,f4(a16,a3,a3),f4(a16,a3,a3))),
% 131.11/131.80 inference(scs_inference,[],[10562,12948,10255,13038,12412,255,222,257,152,167])).
% 131.11/131.80 cnf(13106,plain,
% 131.11/131.80 (P4(a2,a2,a3,a3)),
% 131.11/131.80 inference(scs_inference,[],[10562,12948,10255,10722,13038,12993,12412,255,222,257,152,167,162,254,256,168])).
% 131.11/131.80 cnf(13108,plain,
% 131.11/131.80 (P4(f21(a1,a16,a1,a1),a1,a16,f21(a1,a16,a1,a1))),
% 131.11/131.80 inference(scs_inference,[],[10562,12948,10255,10722,13038,12993,12412,12958,255,222,257,152,167,162,254,256,168,169])).
% 131.11/131.80 cnf(13110,plain,
% 131.11/131.80 (P9(a2,a16,a2,a1,a16,a1,a1,a1)),
% 131.11/131.80 inference(scs_inference,[],[10562,12948,10255,10722,12855,13038,12993,12412,12958,255,222,257,152,167,162,254,256,168,169,252])).
% 131.11/131.80 cnf(13112,plain,
% 131.11/131.80 (P9(a2,a16,a1,a16,a2,a2,a2,a1)),
% 131.11/131.80 inference(scs_inference,[],[10562,12948,10255,10722,12693,12855,13038,12993,12412,12958,255,222,257,152,167,162,254,256,168,169,252,250])).
% 131.11/131.80 cnf(13114,plain,
% 131.11/131.80 (P9(a2,a2,a2,a16,a2,a1,a1,a16)),
% 131.11/131.80 inference(scs_inference,[],[10562,12948,10255,10722,12693,12855,13038,12993,12412,12958,255,222,257,152,167,162,254,256,168,169,252,250,253])).
% 131.11/131.80 cnf(13116,plain,
% 131.11/131.80 (P9(a2,a1,a2,a2,a1,a16,a2,a16)),
% 131.11/131.80 inference(scs_inference,[],[10562,12948,10255,10722,12693,12855,13038,12993,12412,12958,255,222,257,152,167,162,254,256,168,169,252,250,253,251])).
% 131.11/131.80 cnf(13118,plain,
% 131.11/131.80 (P5(a16,f23(a2,a16,a2,a16,a1,a1),a16,f23(a2,a16,a2,a16,a1,a1))),
% 131.11/131.80 inference(scs_inference,[],[10562,12948,10255,10722,12693,12855,13038,13068,12993,12412,12958,8950,255,222,257,152,167,162,254,256,168,169,252,250,253,251,172])).
% 131.11/131.80 cnf(13122,plain,
% 131.11/131.80 (P1(f4(a2,a17,a17),f4(a2,a17,a17),a2)),
% 131.11/131.80 inference(scs_inference,[],[10562,12948,10255,10722,12693,12855,13038,13068,10920,12993,12412,12893,12958,8950,255,222,257,152,167,162,254,256,168,169,252,250,253,251,172,156,153])).
% 131.11/131.80 cnf(13129,plain,
% 131.11/131.80 (P3(x131291,x131292,x131292,x131291)),
% 131.11/131.80 inference(rename_variables,[],[8396])).
% 131.11/131.80 cnf(13134,plain,
% 131.11/131.80 (P3(x131341,x131342,x131342,x131341)),
% 131.11/131.80 inference(rename_variables,[],[8396])).
% 131.11/131.80 cnf(13139,plain,
% 131.11/131.80 (P3(x131391,x131392,x131392,x131391)),
% 131.11/131.80 inference(rename_variables,[],[8396])).
% 131.11/131.80 cnf(13141,plain,
% 131.11/131.80 (P10(f23(a16,a1,x131411,x131411,a16,a2),a16,a1,x131411)),
% 131.11/131.80 inference(scs_inference,[],[10562,12948,10255,10722,12693,12855,13013,13038,13068,10920,12993,12412,12893,12958,8950,12783,5457,9632,8396,13129,13134,255,222,257,152,167,162,254,256,168,169,252,250,253,251,172,156,153,195,196,188,197,176,199,187,203])).
% 131.11/131.80 cnf(13151,plain,
% 131.11/131.80 (P9(x131511,x131512,x131513,x131514,x131512,x131511,x131513,x131514)),
% 131.11/131.80 inference(rename_variables,[],[8330])).
% 131.11/131.80 cnf(13157,plain,
% 131.11/131.80 (P5(a16,a16,a16,a2)),
% 131.11/131.80 inference(scs_inference,[],[10562,12948,10255,10722,12693,12855,13013,13038,13068,9896,10920,12993,12412,12893,12958,8950,12783,5457,11344,12898,9632,8330,8396,13129,13134,13139,255,222,257,152,167,162,254,256,168,169,252,250,253,251,172,156,153,195,196,188,197,176,199,187,203,202,175,198,238,191,221,171])).
% 131.11/131.80 cnf(13164,plain,
% 131.11/131.80 (P3(a1,a17,a1,a1)),
% 131.11/131.80 inference(scs_inference,[],[10562,12948,10255,10722,12693,12855,13013,13015,13038,13068,9896,10920,12993,12412,12893,12958,8950,12783,11765,5457,11344,12898,9632,8330,8396,13129,13134,13139,255,222,257,152,167,162,254,256,168,169,252,250,253,251,172,156,153,195,196,188,197,176,199,187,203,202,175,198,238,191,221,171,189,192,179])).
% 131.11/131.80 cnf(13166,plain,
% 131.11/131.80 (P5(a1,a1,a2,a1)),
% 131.11/131.80 inference(scs_inference,[],[10562,12948,10255,10722,12693,12855,13013,13015,13038,13068,9896,10920,12993,12412,12893,12958,8950,12176,12783,11765,5457,11344,12898,9632,8565,8330,8396,13129,13134,13139,255,222,257,152,167,162,254,256,168,169,252,250,253,251,172,156,153,195,196,188,197,176,199,187,203,202,175,198,238,191,221,171,189,192,179,241])).
% 131.11/131.80 cnf(13168,plain,
% 131.11/131.80 (P3(a16,a16,a3,a16)),
% 131.11/131.80 inference(scs_inference,[],[10562,12948,12964,10255,10722,12693,12855,13013,13015,13038,13068,9896,10920,12993,12412,12893,12958,8950,12176,12783,11765,5457,11344,12898,9632,8750,8565,8330,8396,13129,13134,13139,255,222,257,152,167,162,254,256,168,169,252,250,253,251,172,156,153,195,196,188,197,176,199,187,203,202,175,198,238,191,221,171,189,192,179,241,239])).
% 131.11/131.80 cnf(13169,plain,
% 131.11/131.80 (P9(a16,a16,x131691,a16,x131691,a16,x131691,x131691)),
% 131.11/131.80 inference(rename_variables,[],[12964])).
% 131.11/131.80 cnf(13174,plain,
% 131.11/131.80 (P7(f23(x131741,x131741,a16,a1,a2,a16),x131741,a1)),
% 131.11/131.80 inference(scs_inference,[],[10562,12948,12964,10255,10722,12693,12855,13013,13015,13038,13068,9896,10920,12073,12993,12412,12893,12958,8950,12176,12783,11765,5457,11344,12898,9632,8750,8565,8330,8396,13129,13134,13139,255,222,257,152,167,162,254,256,168,169,252,250,253,251,172,156,153,195,196,188,197,176,199,187,203,202,175,198,238,191,221,171,189,192,179,241,239,182,201])).
% 131.11/131.80 cnf(13176,plain,
% 131.11/131.80 (P4(f4(a2,a17,a17),f4(a2,a17,a17),a2,a17)),
% 131.11/131.80 inference(scs_inference,[],[10562,12948,12964,10255,10722,12693,12855,13013,13015,13038,13068,9896,10920,12073,12993,12412,12893,12958,8950,12176,12783,11765,5457,11344,12898,9632,8750,8565,8330,8174,8396,13129,13134,13139,255,222,257,152,167,162,254,256,168,169,252,250,253,251,172,156,153,195,196,188,197,176,199,187,203,202,175,198,238,191,221,171,189,192,179,241,239,182,201,234])).
% 131.11/131.80 cnf(13181,plain,
% 131.11/131.80 (P9(a16,a1,a1,a2,a2,a16,a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[11920,10562,12948,12964,13169,10255,10722,12693,12855,13013,13015,13021,13038,13068,9896,10920,12073,12993,12412,12893,12958,13056,8950,12176,12783,11765,5457,11344,12898,9632,8750,8565,8330,8174,8396,13129,13134,13139,255,222,257,152,167,162,254,256,168,169,252,250,253,251,172,156,153,195,196,188,197,176,199,187,203,202,175,198,238,191,221,171,189,192,179,241,239,182,201,234,225,260])).
% 131.11/131.80 cnf(13193,plain,
% 131.11/131.80 (P7(a17,a2,a3)),
% 131.11/131.80 inference(scs_inference,[],[11920,10562,12948,12964,13169,10255,10722,12693,12855,13013,13015,13021,13038,13068,9896,10920,11940,12073,12993,12412,12893,12958,12870,12833,13056,8759,8950,12176,11521,8888,12783,11765,5457,11344,12289,4412,12898,9632,8750,8565,8330,9784,8174,8396,13129,13134,13139,8169,255,222,257,152,167,162,254,256,168,169,252,250,253,251,172,156,153,195,196,188,197,176,199,187,203,202,175,198,238,191,221,171,189,192,179,241,239,182,201,234,225,260,193,226,190,160])).
% 131.11/131.80 cnf(13195,plain,
% 131.11/131.80 (P7(f7(a16,a16,a2),a16,a2)),
% 131.11/131.80 inference(scs_inference,[],[11920,10562,12948,12964,13169,10255,10722,12693,12855,13013,13015,13021,13038,13068,9896,10920,11940,12073,12993,12412,12893,12958,12870,12833,13056,8759,8950,12176,11521,8888,12783,11765,5457,11344,12289,4412,12898,9632,8750,8565,8330,9784,8174,8264,8396,13129,13134,13139,8169,255,222,257,152,167,162,254,256,168,169,252,250,253,251,172,156,153,195,196,188,197,176,199,187,203,202,175,198,238,191,221,171,189,192,179,241,239,182,201,234,225,260,193,226,190,160,184])).
% 131.11/131.80 cnf(13201,plain,
% 131.11/131.80 (P10(x132011,x132012,x132012,x132011)),
% 131.11/131.80 inference(rename_variables,[],[8201])).
% 131.11/131.80 cnf(13204,plain,
% 131.11/131.80 (P10(x132041,x132042,x132042,x132041)),
% 131.11/131.80 inference(rename_variables,[],[8201])).
% 131.11/131.80 cnf(13209,plain,
% 131.11/131.80 (P5(a1,f21(a1,a1,a16,a1),a1,f21(a1,a1,a16,a1))),
% 131.11/131.80 inference(scs_inference,[],[11920,10562,12948,12964,13169,10255,10722,12693,12855,13013,13015,13021,13038,13068,9896,10920,11940,12073,12993,12412,12893,12958,13025,12870,12833,13056,8759,8950,12176,12655,12256,12619,11521,8888,12783,11765,5457,5579,10404,11344,12289,4412,12898,9632,8750,8565,8330,13151,9784,8174,8264,8396,13129,13134,13139,8201,13201,13204,8169,255,222,257,152,167,162,254,256,168,169,252,250,253,251,172,156,153,195,196,188,197,176,199,187,203,202,175,198,238,191,221,171,189,192,179,241,239,182,201,234,225,260,193,226,190,160,184,173,204,205,207,249])).
% 131.11/131.80 cnf(13234,plain,
% 131.11/131.80 (P7(a17,a3,a2)),
% 131.11/131.80 inference(scs_inference,[],[10560,13193,13108,8712,7213,255,222,152])).
% 131.11/131.80 cnf(13238,plain,
% 131.11/131.80 (P4(a1,f21(a1,a16,a1,a1),a16,f21(a1,a16,a1,a1))),
% 131.11/131.80 inference(scs_inference,[],[10396,10560,13193,13108,8712,7213,255,222,152,257,167])).
% 131.11/131.80 cnf(13246,plain,
% 131.11/131.80 (P4(f4(a16,a3,a3),f4(a16,a3,a3),a16,f4(a16,a3,a3))),
% 131.11/131.80 inference(scs_inference,[],[10396,10560,11140,13193,13098,13108,13141,8712,7213,255,222,152,257,167,162,254,256,168])).
% 131.11/131.80 cnf(13248,plain,
% 131.11/131.80 (P4(f4(a2,a17,a17),f4(a2,a17,a17),a17,a2)),
% 131.11/131.80 inference(scs_inference,[],[10396,10560,11140,13193,13098,13108,13176,13141,8712,7213,255,222,152,257,167,162,254,256,168,169])).
% 131.11/131.80 cnf(13256,plain,
% 131.11/131.80 (P9(a1,a3,a3,a3,a16,a3,a16,a3)),
% 131.11/131.80 inference(scs_inference,[],[10396,10560,11140,12748,12754,12889,13193,13098,13108,13176,13141,8712,7213,255,222,152,257,167,162,254,256,168,169,250,252,253,251])).
% 131.11/131.80 cnf(13259,plain,
% 131.11/131.80 (P3(x132591,x132592,x132592,x132591)),
% 131.11/131.80 inference(rename_variables,[],[8396])).
% 131.11/131.80 cnf(13264,plain,
% 131.11/131.80 (P3(x132641,x132642,x132642,x132641)),
% 131.11/131.80 inference(rename_variables,[],[8396])).
% 131.11/131.80 cnf(13267,plain,
% 131.11/131.80 (P3(x132671,x132672,x132672,x132671)),
% 131.11/131.80 inference(rename_variables,[],[8396])).
% 131.11/131.80 cnf(13276,plain,
% 131.11/131.80 (P3(x132761,x132762,x132762,x132761)),
% 131.11/131.80 inference(rename_variables,[],[8396])).
% 131.11/131.80 cnf(13280,plain,
% 131.11/131.80 (P10(a3,a3,a1,a3)),
% 131.11/131.80 inference(scs_inference,[],[10396,10560,11140,12748,12754,12889,13096,13157,13193,13098,13108,13176,13141,13013,12417,8712,8396,13259,13264,13267,8169,7213,255,222,152,257,167,162,254,256,168,169,250,252,253,251,188,197,176,187,199,203,202,175,198,238])).
% 131.11/131.80 cnf(13286,plain,
% 131.11/131.80 (P5(a1,a1,x132861,x132861)),
% 131.11/131.80 inference(rename_variables,[],[10363])).
% 131.11/131.80 cnf(13288,plain,
% 131.11/131.80 (P5(a2,a1,a2,a16)),
% 131.11/131.80 inference(scs_inference,[],[10396,10560,11140,12748,12754,12889,13096,13157,13164,13193,13098,13108,13176,13141,12091,10363,13013,12417,8712,8396,13259,13264,13267,8169,7213,255,222,152,257,167,162,254,256,168,169,250,252,253,251,188,197,176,187,199,203,202,175,198,238,221,191,171])).
% 131.11/131.80 cnf(13296,plain,
% 131.11/131.80 (P5(a17,a17,a17,a2)),
% 131.11/131.80 inference(scs_inference,[],[10396,10560,11140,12748,12754,12889,12974,13096,13157,13164,13166,13193,13098,13108,13176,13141,12091,10363,13286,13013,12417,8712,8396,13259,13264,13267,13276,8169,7213,255,222,152,257,167,162,254,256,168,169,250,252,253,251,188,197,176,187,199,203,202,175,198,238,221,191,171,189,192,241])).
% 131.11/131.80 cnf(13298,plain,
% 131.11/131.80 (P3(a1,a2,a1,a1)),
% 131.11/131.80 inference(scs_inference,[],[10396,10560,11140,12748,12754,12889,12974,13096,13157,13164,13166,13193,13098,13108,13176,13141,12091,10363,13286,13013,12417,8712,8396,13259,13264,13267,13276,8169,7213,255,222,152,257,167,162,254,256,168,169,250,252,253,251,188,197,176,187,199,203,202,175,198,238,221,191,171,189,192,241,179])).
% 131.11/131.80 cnf(13300,plain,
% 131.11/131.80 (P3(a17,a17,a17,a1)),
% 131.11/131.80 inference(scs_inference,[],[10396,10560,11140,12748,12754,12889,12974,13096,13157,13164,13166,13193,13098,13108,13176,13141,12091,10843,10363,13286,13013,12417,8712,8396,13259,13264,13267,13276,8169,7213,255,222,152,257,167,162,254,256,168,169,250,252,253,251,188,197,176,187,199,203,202,175,198,238,221,191,171,189,192,241,179,239])).
% 131.11/131.80 cnf(13303,plain,
% 131.11/131.80 (P2(a16,a16,a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[10396,10560,11140,12748,12754,12889,12974,13096,13157,13164,13166,13193,13098,13108,13176,13141,12091,10843,10363,13286,13013,12417,8712,8396,13259,13264,13267,13276,8169,7213,255,222,152,257,167,162,254,256,168,169,250,252,253,251,188,197,176,187,199,203,202,175,198,238,221,191,171,189,192,241,179,239,182])).
% 131.11/131.80 cnf(13305,plain,
% 131.11/131.80 (P7(f23(a1,a16,a1,a16,a16,a16),a1,a16)),
% 131.11/131.80 inference(scs_inference,[],[10396,10560,11140,12748,12754,12889,12974,13096,13157,13164,13166,13193,13098,13108,13176,13141,12091,10843,10363,13286,13013,12417,8712,8396,13259,13264,13267,13276,8169,7213,255,222,152,257,167,162,254,256,168,169,250,252,253,251,188,197,176,187,199,203,202,175,198,238,221,191,171,189,192,241,179,239,182,201])).
% 131.11/131.80 cnf(13307,plain,
% 131.11/131.80 (P4(a16,a2,a2,a1)),
% 131.11/131.80 inference(scs_inference,[],[10396,10560,11140,12748,12754,12889,12974,13030,13096,13157,13164,13166,13193,13098,13108,13176,13141,12091,10843,10363,13286,13013,4841,12417,8712,8396,13259,13264,13267,13276,8169,7213,255,222,152,257,167,162,254,256,168,169,250,252,253,251,188,197,176,187,199,203,202,175,198,238,221,191,171,189,192,241,179,239,182,201,234])).
% 131.11/131.80 cnf(13313,plain,
% 131.11/131.80 (P4(a16,a2,a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[12752,10396,10560,11140,12748,12754,12889,12974,13030,13096,13157,13164,13166,13193,13098,13108,13176,13141,12799,11035,12091,10843,10363,13286,13013,4841,12417,8712,8396,13259,13264,13267,13276,8169,7213,255,222,152,257,167,162,254,256,168,169,250,252,253,251,188,197,176,187,199,203,202,175,198,238,221,191,171,189,192,241,179,239,182,201,234,225,260,194])).
% 131.11/131.80 cnf(13315,plain,
% 131.11/131.80 (P3(a2,a2,a2,a3)),
% 131.11/131.80 inference(scs_inference,[],[12752,10396,10560,11140,12748,12754,12889,12960,12974,13030,13096,13157,13164,13166,13193,13098,13108,13176,13141,12799,11035,12091,10843,10363,13286,13013,4841,12417,10014,9033,8712,8396,13259,13264,13267,13276,8169,7213,255,222,152,257,167,162,254,256,168,169,250,252,253,251,188,197,176,187,199,203,202,175,198,238,221,191,171,189,192,241,179,239,182,201,234,225,260,194,193])).
% 131.11/131.80 cnf(13319,plain,
% 131.11/131.80 (P2(f10(a2,a3,a3),a2,a3,a3)),
% 131.11/131.80 inference(scs_inference,[],[12752,10396,10560,11140,12748,12754,12889,12960,12974,13030,13096,13157,13164,13166,13193,13098,13108,13176,13141,12799,11035,12091,10843,12835,10363,13286,13013,4841,12417,10014,9033,8712,8396,13259,13264,13267,13276,8201,8169,7213,255,222,152,257,167,162,254,256,168,169,250,252,253,251,188,197,176,187,199,203,202,175,198,238,221,191,171,189,192,241,179,239,182,201,234,225,260,194,193,190])).
% 131.11/131.80 cnf(13320,plain,
% 131.11/131.80 (P10(x133201,x133202,x133202,x133201)),
% 131.11/131.80 inference(rename_variables,[],[8201])).
% 131.11/131.80 cnf(13322,plain,
% 131.11/131.80 (P7(f7(a1,a17,a1),a1,a1)),
% 131.11/131.80 inference(scs_inference,[],[12752,10396,10560,11140,12748,12754,12889,12960,12974,13030,13096,13157,13164,13166,13193,13098,13108,13176,13141,12799,11568,11035,12091,10843,12835,10113,10363,13286,13013,4841,12417,10014,9033,8712,8396,13259,13264,13267,13276,8201,8169,7213,255,222,152,257,167,162,254,256,168,169,250,252,253,251,188,197,176,187,199,203,202,175,198,238,221,191,171,189,192,241,179,239,182,201,234,225,260,194,193,190,184])).
% 131.11/131.80 cnf(13336,plain,
% 131.11/131.80 (P5(f4(a16,a3,a3),a16,f4(a16,a3,a3),a16)),
% 131.11/131.80 inference(scs_inference,[],[142,12752,10396,10560,11140,12748,12754,12889,12960,12974,13030,13096,13157,13164,13166,13193,13066,13098,13108,13176,13141,12799,11568,11035,8405,12972,12091,12194,12686,8698,10843,12835,12617,10113,9400,10363,13286,4365,13013,8901,4841,12417,5541,4839,10014,9033,8330,8712,8396,13259,13264,13267,13276,8201,13320,8169,7213,255,222,152,257,167,162,254,256,168,169,250,252,253,251,188,197,176,187,199,203,202,175,198,238,221,191,171,189,192,241,179,239,182,201,234,225,260,194,193,190,184,173,204,205,207,206,249])).
% 131.11/131.80 cnf(13340,plain,
% 131.11/131.80 (P10(a17,a17,a3,a2)),
% 131.11/131.80 inference(scs_inference,[],[142,12752,10396,10560,11140,12748,12754,12889,12960,12974,13030,13096,13157,13164,13166,13193,13066,13098,13108,13176,13141,12799,11568,11035,8405,12972,12091,12194,12686,8698,10843,12835,12617,10113,9400,10363,13286,4365,13013,8901,4841,12417,5541,4839,10014,9033,8330,8712,8396,13259,13264,13267,13276,8201,13320,8169,7213,255,222,152,257,167,162,254,256,168,169,250,252,253,251,188,197,176,187,199,203,202,175,198,238,221,191,171,189,192,241,179,239,182,201,234,225,260,194,193,190,184,173,204,205,207,206,249,328])).
% 131.11/131.80 cnf(13367,plain,
% 131.11/131.80 (P7(f23(x133671,x133671,a16,a1,a2,a16),a1,x133671)),
% 131.11/131.80 inference(scs_inference,[],[10714,13174,13238,255,222,152])).
% 131.11/131.80 cnf(13369,plain,
% 131.11/131.80 (P4(a2,a16,a2,a1)),
% 131.11/131.80 inference(scs_inference,[],[10714,13307,13174,13238,255,222,152,167])).
% 131.11/131.80 cnf(13373,plain,
% 131.11/131.80 (P10(a3,a3,a3,a1)),
% 131.11/131.80 inference(scs_inference,[],[13280,12314,10714,13307,13174,13238,255,222,152,167,257,162])).
% 131.11/131.80 cnf(13381,plain,
% 131.11/131.80 (P4(a16,a2,a1,a2)),
% 131.11/131.80 inference(scs_inference,[],[13280,12314,10714,10845,11394,13307,13174,13238,255,222,152,167,257,162,254,256,168,169])).
% 131.11/131.80 cnf(13383,plain,
% 131.11/131.80 (P9(a1,a1,a2,a1,a1,a16,a16,a2)),
% 131.11/131.80 inference(scs_inference,[],[13280,12314,10714,10845,11394,12962,13307,13174,13238,255,222,152,167,257,162,254,256,168,169,250])).
% 131.11/131.80 cnf(13385,plain,
% 131.11/131.80 (P9(a2,a3,a3,a3,a2,a2,a2,a3)),
% 131.11/131.80 inference(scs_inference,[],[13280,12314,10714,10845,11394,12944,12962,13307,13174,13238,255,222,152,167,257,162,254,256,168,169,250,252])).
% 131.11/131.80 cnf(13389,plain,
% 131.11/131.80 (P9(a16,a2,a1,a16,a2,a1,a1,a1)),
% 131.11/131.80 inference(scs_inference,[],[13280,12314,10714,10845,11394,12944,12962,13307,13174,13238,255,222,152,167,257,162,254,256,168,169,250,252,253,251])).
% 131.11/131.80 cnf(13391,plain,
% 131.11/131.80 (P5(a3,a2,a17,a2)),
% 131.11/131.80 inference(scs_inference,[],[13280,12314,10163,10714,10845,11394,12530,12944,12962,13307,13174,13238,255,222,152,167,257,162,254,256,168,169,250,252,253,251,181])).
% 131.11/131.80 cnf(13393,plain,
% 131.11/131.80 (P10(a3,a3,a2,a16)),
% 131.11/131.80 inference(scs_inference,[],[13280,12314,10163,10714,10845,11394,12530,12944,12962,13307,13174,13238,8301,255,222,152,167,257,162,254,256,168,169,250,252,253,251,181,177])).
% 131.11/131.80 cnf(13395,plain,
% 131.11/131.80 (P4(a2,a3,a3,a3)),
% 131.11/131.80 inference(scs_inference,[],[13280,12314,10163,10714,10845,11394,12530,12944,12962,13106,13307,13174,13238,8301,255,222,152,167,257,162,254,256,168,169,250,252,253,251,181,177,183])).
% 131.11/131.80 cnf(13397,plain,
% 131.11/131.80 (P3(a16,a2,a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[13280,12314,10163,10714,10845,11394,12530,12944,12962,13106,13303,13307,13174,13238,8301,4394,255,222,152,167,257,162,254,256,168,169,250,252,253,251,181,177,183,170])).
% 131.11/131.80 cnf(13399,plain,
% 131.11/131.80 (P9(a16,a3,a16,a2,a2,a16,a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[13280,12314,10163,10714,10845,11394,12530,12944,12962,13106,13303,13307,13174,13238,8301,4394,12555,255,222,152,167,257,162,254,256,168,169,250,252,253,251,181,177,183,170,227])).
% 131.11/131.80 cnf(13402,plain,
% 131.11/131.80 (P9(x134021,x134022,x134022,x134021,x134023,x134024,x134023,x134024)),
% 131.11/131.80 inference(rename_variables,[],[8219])).
% 131.11/131.80 cnf(13425,plain,
% 131.11/131.80 (P9(x134251,x134252,x134253,x134254,x134252,x134251,x134253,x134254)),
% 131.11/131.80 inference(rename_variables,[],[8330])).
% 131.11/131.80 cnf(13430,plain,
% 131.11/131.80 (P8(f23(x134301,x134301,a16,a1,a2,a16),x134301,x134301,a1,a17,a3,a3,a2)),
% 131.11/131.80 inference(scs_inference,[],[142,13280,12314,10163,10714,10845,11394,12530,12944,12962,13106,13234,13298,13300,13303,13307,9987,13174,13238,8301,12082,10363,4394,12555,8219,13402,8330,8221,255,222,152,167,257,162,254,256,168,169,250,252,253,251,181,177,183,170,227,248,246,195,244,196,199,197,203,202,198,238,191,221])).
% 131.11/131.80 cnf(13432,plain,
% 131.11/131.80 (P5(a16,a3,a16,a16)),
% 131.11/131.80 inference(scs_inference,[],[142,13280,12314,10163,10714,10845,11394,12530,12944,12962,13106,13168,13234,13298,13300,13303,13307,9987,13174,13238,8301,12082,10363,4394,9206,12555,8219,13402,8330,8221,255,222,152,167,257,162,254,256,168,169,250,252,253,251,181,177,183,170,227,248,246,195,244,196,199,197,203,202,198,238,191,221,171])).
% 131.11/131.80 cnf(13441,plain,
% 131.11/131.80 (P5(a3,a2,a2,a3)),
% 131.11/131.80 inference(scs_inference,[],[142,13280,12314,10163,10714,10845,11394,12530,12621,12944,12962,13106,13168,13234,13298,13300,13303,13307,9987,13174,13010,13238,8301,12034,13166,12082,10363,4394,9206,12555,8219,13402,8330,8221,255,222,152,167,257,162,254,256,168,169,250,252,253,251,181,177,183,170,227,248,246,195,244,196,199,197,203,202,198,238,191,221,171,189,192,179,241])).
% 131.11/131.80 cnf(13443,plain,
% 131.11/131.80 (P3(a1,a16,a16,a2)),
% 131.11/131.80 inference(scs_inference,[],[142,13280,12314,10163,10714,10845,11394,12530,12621,12944,12962,13106,13168,13234,13298,13300,13303,13307,9987,13174,13010,13238,8301,12034,13166,12082,12880,10363,4394,9206,12555,8219,13402,8330,8221,255,222,152,167,257,162,254,256,168,169,250,252,253,251,181,177,183,170,227,248,246,195,244,196,199,197,203,202,198,238,191,221,171,189,192,179,241,239])).
% 131.11/131.80 cnf(13447,plain,
% 131.11/131.80 (P7(f23(a3,a2,a3,a2,a17,a17),a3,a2)),
% 131.11/131.80 inference(scs_inference,[],[142,13280,12314,10163,10714,10845,11394,12530,12621,12944,12962,13106,13168,13234,13288,13298,13300,13303,13307,9987,13174,13010,13238,8301,12034,13166,12082,12880,10363,4394,9206,12555,8219,13402,8330,8221,255,222,152,167,257,162,254,256,168,169,250,252,253,251,181,177,183,170,227,248,246,195,244,196,199,197,203,202,198,238,191,221,171,189,192,179,241,239,182,201])).
% 131.11/131.80 cnf(13451,plain,
% 131.11/131.80 (P4(f4(a3,a2,a2),f4(a3,a2,a2),a3,a2)),
% 131.11/131.80 inference(scs_inference,[],[142,13280,12314,10163,10714,10845,11394,12530,12621,12944,12962,13106,13168,13234,13288,13298,13300,13303,13307,9987,10298,13174,13010,13238,11211,8301,12034,13166,12082,12880,10363,4394,9206,12555,8219,13402,8330,8221,8174,255,222,152,167,257,162,254,256,168,169,250,252,253,251,181,177,183,170,227,248,246,195,244,196,199,197,203,202,198,238,191,221,171,189,192,179,241,239,182,201,178,234])).
% 131.11/131.80 cnf(13464,plain,
% 131.11/131.80 (P7(f23(x134641,x134641,a16,a1,a2,a16),x134641,a1)),
% 131.11/131.80 inference(rename_variables,[],[13174])).
% 131.11/131.80 cnf(13466,plain,
% 131.11/131.80 (P7(f23(a3,a3,a16,a1,a2,a16),a3,a3)),
% 131.11/131.80 inference(scs_inference,[],[142,13280,12314,10163,10714,10845,11394,12530,12621,12944,12962,12968,13106,13168,13234,13288,13298,13300,13303,13307,9987,10298,12234,13174,13464,13010,13238,8497,11211,8301,9625,12034,13166,8096,12082,12880,13164,10363,4394,9206,12555,8219,13402,8330,13425,8221,8174,255,222,152,167,257,162,254,256,168,169,250,252,253,251,181,177,183,170,227,248,246,195,244,196,199,197,203,202,198,238,191,221,171,189,192,179,241,239,182,201,178,234,225,260,194,190,184,173])).
% 131.11/131.80 cnf(13476,plain,
% 131.11/131.80 (P5(a16,f13(a3,a1,a1,a2,a16),a16,f13(a3,a1,a1,a2,a16))),
% 131.11/131.80 inference(scs_inference,[],[142,13280,12314,10163,10714,10845,11394,12530,12621,12944,12962,12968,13106,13168,13234,13288,13298,13300,13303,13307,9987,10298,12234,13174,13464,13010,13238,12831,8497,12763,11211,12625,8301,9625,12034,13166,8096,12082,12328,12880,13164,11765,12274,10363,631,5141,4394,9206,10205,12555,8219,13402,8330,13425,8221,8174,8169,255,222,152,167,257,162,254,256,168,169,250,252,253,251,181,177,183,170,227,248,246,195,244,196,199,197,203,202,198,238,191,221,171,189,192,179,241,239,182,201,178,234,225,260,194,190,184,173,207,206,249])).
% 131.11/131.80 cnf(13484,plain,
% 131.11/131.80 (~P1(f15(a2,a2,a18,a2),a3,a3)+P8(f15(a2,a2,a18,a2),a3,a3,a3,f15(a2,a2,a18,a2),a2,a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[142,13280,12314,10163,10714,10845,11394,12530,12621,12944,12962,12968,13106,13168,13234,13288,13298,13300,13303,13307,9987,10298,10416,12234,13174,13464,13010,13238,12831,8497,12763,11211,12625,8301,9625,12034,13166,8096,12082,12328,12880,13164,11765,12274,10363,631,5141,4394,9206,10205,12555,8219,13402,8330,13425,8221,8174,8169,255,222,152,167,257,162,254,256,168,169,250,252,253,251,181,177,183,170,227,248,246,195,244,196,199,197,203,202,198,238,191,221,171,189,192,179,241,239,182,201,178,234,225,260,194,190,184,173,207,206,249,4426,185,793])).
% 131.11/131.80 cnf(13506,plain,
% 131.11/131.80 (P9(a2,a2,a2,a16,a1,a2,a1,a16)),
% 131.11/131.80 inference(scs_inference,[],[10991,13369,13430,4426,255,222])).
% 131.11/131.80 cnf(13508,plain,
% 131.11/131.80 (P4(a2,a16,a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[10991,13313,13369,13430,4426,255,222,167])).
% 131.11/131.80 cnf(13514,plain,
% 131.11/131.80 (P10(a17,a17,a2,a3)),
% 131.11/131.80 inference(scs_inference,[],[13340,10853,10991,13313,13369,12970,13430,4426,255,222,167,152,257,162])).
% 131.11/131.80 cnf(13520,plain,
% 131.11/131.80 (P4(a2,a16,a1,a2)),
% 131.11/131.80 inference(scs_inference,[],[13340,10853,10991,11505,13313,13369,12970,13430,4426,255,222,167,152,257,162,254,256,169])).
% 131.11/131.80 cnf(13522,plain,
% 131.11/131.80 (P4(a2,a2,a16,a1)),
% 131.11/131.80 inference(scs_inference,[],[13340,10853,10991,11505,13313,13369,12970,13430,4426,255,222,167,152,257,162,254,256,169,168])).
% 131.11/131.80 cnf(13530,plain,
% 131.11/131.80 (P9(a2,a3,a2,a2,a3,a3,a3,a2)),
% 131.11/131.80 inference(scs_inference,[],[13340,13092,10853,10991,11505,12966,13112,13313,13369,12970,13430,4426,255,222,167,152,257,162,254,256,169,168,250,252,253,251])).
% 131.11/131.80 cnf(13532,plain,
% 131.11/131.80 (P9(a3,a1,a3,a1,a3,a1,a3,a3)),
% 131.11/131.80 inference(scs_inference,[],[13340,13092,10853,10991,11505,12966,13112,13313,13369,13373,12970,13430,8098,4426,255,222,167,152,257,162,254,256,169,168,250,252,253,251,228])).
% 131.11/131.80 cnf(13549,plain,
% 131.11/131.80 (P10(a2,a16,a1,a16)),
% 131.11/131.80 inference(scs_inference,[],[13340,13092,13397,10853,10991,11505,12966,13112,13313,13369,13373,13432,12970,13430,13319,12306,13193,8098,11721,8221,4426,255,222,167,152,257,162,254,256,169,168,250,252,253,251,228,240,245,197,199,203,198,202,238])).
% 131.11/131.80 cnf(13560,plain,
% 131.11/131.80 (P5(a3,a2,a3,a2)),
% 131.11/131.80 inference(scs_inference,[],[13340,13092,13397,10853,10991,11505,11509,12966,13112,13313,13369,13373,13432,13441,13367,12970,13430,13319,13288,12306,13193,12091,8098,11721,8221,8396,4426,255,222,167,152,257,162,254,256,169,168,250,252,253,251,228,240,245,197,199,203,198,202,238,221,191,171,189,241])).
% 131.11/131.80 cnf(13564,plain,
% 131.11/131.80 (P3(a3,a17,a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[13340,13092,13397,10853,10991,11505,11509,12966,13112,13313,13369,13373,13391,13432,13441,13367,12970,13430,13319,13288,12306,13193,12091,8098,11721,8221,8396,4426,255,222,167,152,257,162,254,256,169,168,250,252,253,251,228,240,245,197,199,203,198,202,238,221,191,171,189,241,192,179])).
% 131.11/131.80 cnf(13571,plain,
% 131.11/131.80 (P7(f23(a2,a3,a2,a3,a17,a17),a2,a3)),
% 131.11/131.80 inference(scs_inference,[],[13340,13092,13397,10853,10991,11505,11509,12966,13112,13296,13313,13369,13373,13391,13432,13441,10681,13367,12970,13430,13319,13288,12306,13193,12091,8098,11721,8521,8221,8396,4426,255,222,167,152,257,162,254,256,169,168,250,252,253,251,228,240,245,197,199,203,198,202,238,221,191,171,189,241,192,179,239,182,201])).
% 131.11/131.80 cnf(13589,plain,
% 131.11/131.80 (P10(x135891,x135892,x135892,x135891)),
% 131.11/131.80 inference(rename_variables,[],[8201])).
% 131.11/131.80 cnf(13591,plain,
% 131.11/131.80 (P7(f23(a1,a2,a1,a2,a2,a2),a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[13340,13092,13397,10853,10991,11505,11509,12966,13112,13296,13313,13369,13373,13391,13432,13441,10681,10425,9533,11996,13367,13476,12970,13430,13447,13319,9541,12847,12322,13288,12706,12306,13193,12091,8098,12046,11721,8521,8330,9784,8221,8396,8201,4426,255,222,167,152,257,162,254,256,169,168,250,252,253,251,228,240,245,197,199,203,198,202,238,221,191,171,189,241,192,179,239,182,201,180,234,225,260,193,190,173])).
% 131.11/131.80 cnf(13594,plain,
% 131.11/131.80 (P7(a2,x135941,x135941)),
% 131.11/131.80 inference(rename_variables,[],[9632])).
% 131.11/131.80 cnf(13595,plain,
% 131.11/131.80 (P10(x135951,x135952,x135952,x135951)),
% 131.11/131.80 inference(rename_variables,[],[8201])).
% 131.11/131.80 cnf(13610,plain,
% 131.11/131.80 (P3(a17,a2,a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[13340,13092,13397,10853,10991,11505,11509,12966,13112,13296,13313,13369,13373,13391,13432,13441,10681,10425,9533,11996,13367,13248,13476,12970,13430,13447,13466,13036,13319,9541,12847,12322,13288,12706,12306,13193,12091,8098,12046,344,5025,11721,9632,13594,8521,8330,9784,8334,8221,8396,8201,13589,13595,4426,255,222,167,152,257,162,254,256,169,168,250,252,253,251,228,240,245,197,199,203,198,202,238,221,191,171,189,241,192,179,239,182,201,180,234,225,260,193,190,173,207,206,249,790,185,738,170])).
% 131.11/131.80 cnf(13623,plain,
% 131.11/131.80 (P8(a2,a2,a2,a2,a3,a3,a3,a2)),
% 131.11/131.80 inference(scs_inference,[],[10999,255])).
% 131.11/131.80 cnf(13625,plain,
% 131.11/131.80 (P9(a1,a16,a1,a2,a2,a16,a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[10999,13381,255,222])).
% 131.11/131.80 cnf(13627,plain,
% 131.11/131.80 (P4(a3,a2,a3,a3)),
% 131.11/131.80 inference(scs_inference,[],[10999,13381,13395,255,222,167])).
% 131.11/131.80 cnf(13629,plain,
% 131.11/131.80 (P7(f23(a1,a16,a1,a16,a2,a2),a2,a1)),
% 131.11/131.80 inference(scs_inference,[],[10999,13381,13395,13043,255,222,167,152])).
% 131.11/131.80 cnf(13641,plain,
% 131.11/131.80 (P4(a16,a1,a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[10993,10999,11134,11519,13381,13393,13395,13522,13043,255,222,167,152,257,162,254,256,169,168])).
% 131.11/131.80 cnf(13647,plain,
% 131.11/131.80 (P9(a2,a16,a16,a1,a2,a1,a1,a1)),
% 131.11/131.80 inference(scs_inference,[],[10993,10999,11134,11519,13110,13114,13116,13381,13393,13395,13522,13043,255,222,167,152,257,162,254,256,169,168,252,250,253])).
% 131.11/131.80 cnf(13649,plain,
% 131.11/131.80 (P9(a2,a1,a2,a16,a1,a1,a16,a1)),
% 131.11/131.80 inference(scs_inference,[],[10993,10999,11134,11519,13110,13114,13116,13381,13393,13395,13522,13043,255,222,167,152,257,162,254,256,169,168,252,250,253,251])).
% 131.11/131.80 cnf(13652,plain,
% 131.11/131.80 (P9(x136521,x136522,x136522,x136521,x136523,x136524,x136523,x136524)),
% 131.11/131.80 inference(rename_variables,[],[8219])).
% 131.11/131.80 cnf(13655,plain,
% 131.11/131.80 (P9(x136551,x136552,x136552,x136551,x136553,x136554,x136553,x136554)),
% 131.11/131.80 inference(rename_variables,[],[8219])).
% 131.11/131.80 cnf(13658,plain,
% 131.11/131.80 (P9(x136581,x136582,x136582,x136581,x136583,x136584,x136583,x136584)),
% 131.11/131.80 inference(rename_variables,[],[8219])).
% 131.11/131.80 cnf(13661,plain,
% 131.11/131.80 (P9(x136611,x136612,x136613,x136614,x136611,x136612,x136613,x136614)),
% 131.11/131.80 inference(rename_variables,[],[8221])).
% 131.11/131.80 cnf(13680,plain,
% 131.11/131.80 (P5(a1,a16,a1,a2)),
% 131.11/131.80 inference(scs_inference,[],[10993,10999,11134,11519,13110,13114,13116,13381,13393,13395,13443,13522,13560,13610,11891,13322,13043,13288,11344,8219,13652,13655,13658,8712,8221,13661,255,222,167,152,257,162,254,256,169,168,252,250,253,251,247,243,248,246,245,244,197,199,198,238,221,171])).
% 131.11/131.80 cnf(13690,plain,
% 131.11/131.80 (P3(a2,a16,a2,a1)),
% 131.11/131.80 inference(scs_inference,[],[10993,10999,11134,11519,13110,13114,13116,13381,13393,13395,13443,13522,13560,13610,11891,13322,13043,8996,13288,11344,11566,8219,13652,13655,13658,8712,8221,13661,255,222,167,152,257,162,254,256,169,168,252,250,253,251,247,243,248,246,245,244,197,199,198,238,221,171,191,189,192,241,239])).
% 131.11/131.80 cnf(13729,plain,
% 131.11/131.80 (P8(a3,a1,a3,a1,a3,a17,a17,a17)),
% 131.11/131.80 inference(scs_inference,[],[11138,255])).
% 131.11/131.80 cnf(13745,plain,
% 131.11/131.80 (P4(a2,a1,a16,a2)),
% 131.11/131.80 inference(scs_inference,[],[13623,13520,11138,11635,13549,13641,13305,255,167,222,152,257,162,254,256,168])).
% 131.11/131.80 cnf(13757,plain,
% 131.11/131.80 (P7(a16,a16,f4(a16,a3,a16))),
% 131.11/131.80 inference(scs_inference,[],[13623,13520,11138,11635,13181,13256,13549,13641,12720,12722,13305,13246,255,167,222,152,257,162,254,256,168,169,252,250,253,251,159])).
% 131.11/131.80 cnf(13759,plain,
% 131.11/131.80 (P10(a2,a2,a3,a3)),
% 131.11/131.80 inference(scs_inference,[],[13623,13520,11138,11635,13181,13256,13549,13641,12720,12722,13305,13571,13246,255,167,222,152,257,162,254,256,168,169,252,250,253,251,159,155])).
% 131.11/131.80 cnf(13767,plain,
% 131.11/131.80 (P10(a1,a3,a3,a3)),
% 131.11/131.80 inference(scs_inference,[],[13680,13623,13520,11138,11635,13181,13256,13549,13641,12720,12722,13305,13571,13246,13300,8169,255,167,222,152,257,162,254,256,168,169,252,250,253,251,159,155,197,199,198,238])).
% 131.11/131.80 cnf(13772,plain,
% 131.11/131.80 (P5(a1,a3,a1,a2)),
% 131.11/131.80 inference(scs_inference,[],[13680,13623,13520,11138,11635,13181,13256,13549,13641,12720,12722,13305,13571,13246,13234,4596,4356,13300,8169,255,167,222,152,257,162,254,256,168,169,252,250,253,251,159,155,197,199,198,238,191,171])).
% 131.11/131.80 cnf(13776,plain,
% 131.11/131.80 (P2(f9(a3,a2,a3),a3,a2,a3)),
% 131.11/131.80 inference(scs_inference,[],[13680,13623,13520,11138,11635,13181,13256,13549,13627,13641,12720,12722,13305,13571,13246,13234,4596,10276,4356,13300,8169,255,167,222,152,257,162,254,256,168,169,252,250,253,251,159,155,197,199,198,238,191,171,221,189])).
% 131.11/131.80 cnf(13787,plain,
% 131.11/131.80 (P2(a1,a16,a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[13680,13623,13520,11138,11635,12623,13181,13256,13549,13627,13641,10970,12720,12722,13305,13571,13246,13118,13015,13234,4596,10276,4356,13300,8521,8169,255,167,222,152,257,162,254,256,168,169,252,250,253,251,159,155,197,199,198,238,191,171,221,189,192,241,239,179,182])).
% 131.11/131.80 cnf(13796,plain,
% 131.11/131.80 (P9(a18,a3,a2,a18,a3,a3,a3,a2)),
% 131.11/131.80 inference(scs_inference,[],[9981,13680,13623,13520,11138,11635,12623,13181,13256,13530,13549,13627,13641,10970,12720,12722,13305,13571,13246,13118,9961,10491,13015,13234,4596,10276,4356,13300,8521,8221,8169,255,167,222,152,257,162,254,256,168,169,252,250,253,251,159,155,197,199,198,238,191,171,221,189,192,241,239,179,182,261,234,225,260])).
% 131.11/131.80 cnf(13803,plain,
% 131.11/131.80 (P7(f7(a16,a2,a2),a16,a2)),
% 131.11/131.80 inference(scs_inference,[],[9981,13680,13623,13520,11138,11635,12623,13181,13256,13530,13549,13627,13641,13690,10970,12720,12722,13305,13571,13246,13629,13118,13336,9961,10491,11574,13015,9123,13234,4596,10276,4356,13300,8521,9784,8264,8221,8169,255,167,222,152,257,162,254,256,168,169,252,250,253,251,159,155,197,199,198,238,191,171,221,189,192,241,239,179,182,261,234,225,260,193,190,184])).
% 131.11/131.80 cnf(13817,plain,
% 131.11/131.80 (P4(a1,a2,a16,a2)),
% 131.11/131.80 inference(scs_inference,[],[13745,167])).
% 131.11/131.80 cnf(13821,plain,
% 131.11/131.80 (P4(a2,a2,a16,a2)),
% 131.11/131.80 inference(scs_inference,[],[13508,13745,167,222,168])).
% 131.11/131.80 cnf(13823,plain,
% 131.11/131.80 (P4(a2,a1,a2,a16)),
% 131.11/131.80 inference(scs_inference,[],[13508,13745,167,222,168,169])).
% 131.11/131.80 cnf(13839,plain,
% 131.11/131.80 (P10(a1,a1,a1,a3)),
% 131.11/131.80 inference(scs_inference,[],[13625,13383,13385,13399,13508,13745,13767,11797,12812,13195,11402,13397,167,222,168,169,252,250,253,251,172,156,153,238])).
% 131.11/131.80 cnf(13852,plain,
% 131.11/131.80 (P5(a3,a1,a3,a1)),
% 131.11/131.80 inference(scs_inference,[],[13625,13383,13385,13399,13508,13564,13729,13745,13767,11734,11797,12812,13195,12734,13315,11402,13397,8262,13560,13038,167,222,168,169,252,250,253,251,172,156,153,238,221,191,171,192,189,241])).
% 131.11/131.80 cnf(13869,plain,
% 131.11/131.80 (P10(x138691,x138692,x138692,x138691)),
% 131.11/131.80 inference(rename_variables,[],[8201])).
% 131.11/131.80 cnf(13873,plain,
% 131.11/131.80 (P4(a1,a1,x138731,a1)),
% 131.11/131.80 inference(rename_variables,[],[9971])).
% 131.11/131.80 cnf(13877,plain,
% 131.11/131.80 (P7(f4(a2,a17,a17),f4(a2,a17,a17),a2)),
% 131.11/131.80 inference(scs_inference,[],[13625,13383,13385,13389,13399,13508,13564,13729,13745,13759,13767,13772,13787,11734,11797,11936,13122,12812,13591,13195,13209,12734,13106,13315,11402,9971,13397,8262,13560,13038,9632,8712,9784,10456,8174,8201,13869,167,222,168,169,252,250,253,251,172,156,153,238,221,191,171,192,189,241,239,179,182,234,225,260,226,193,190,160])).
% 131.11/131.80 cnf(13885,plain,
% 131.11/131.80 (P5(a1,a1,a1,a3)),
% 131.11/131.80 inference(scs_inference,[],[13625,13383,13385,13389,13399,13508,13564,13729,13745,13759,13767,13772,13787,11734,11797,11936,13122,12812,13591,13195,13532,13209,12734,13106,13373,13315,11402,10054,9971,13873,13397,10278,8262,13560,12274,5249,13038,9632,8712,9784,10456,8174,8201,13869,167,222,168,169,252,250,253,251,172,156,153,238,221,191,171,192,189,241,239,179,182,234,225,260,226,193,190,160,173,207,249])).
% 131.11/131.80 cnf(13938,plain,
% 131.11/131.80 (P10(a2,a2,a2,a16)),
% 131.11/131.80 inference(scs_inference,[],[13647,13506,13649,13817,13821,13823,13852,13885,13877,13451,12763,9739,8219,167,222,152,168,169,252,250,253,251,243,186,174,238])).
% 131.11/131.80 cnf(13945,plain,
% 131.11/131.80 (P3(x139451,x139452,x139452,x139451)),
% 131.11/131.80 inference(rename_variables,[],[8396])).
% 131.11/131.80 cnf(13975,plain,
% 131.11/131.80 (P7(a17,a3,a3)),
% 131.11/131.80 inference(scs_inference,[],[9412,13647,12956,13506,13514,13649,13796,13817,13821,13823,13852,13885,11597,11938,11608,11136,13877,13451,13757,13803,13776,12404,13476,11641,13307,12763,13772,13015,13234,9739,5579,4596,12898,8219,8330,8221,8396,13945,8201,167,222,152,168,169,252,250,253,251,243,186,174,238,221,191,171,192,241,189,239,182,179,234,225,260,226,193,190,160])).
% 131.11/131.80 cnf(14024,plain,
% 131.11/131.80 (P10(x140241,x140242,x140242,x140241)),
% 131.11/131.80 inference(rename_variables,[],[8201])).
% 131.11/131.80 cnf(14043,plain,
% 131.11/131.80 (P3(x140431,x140432,x140432,x140431)),
% 131.11/131.80 inference(rename_variables,[],[8396])).
% 131.11/131.80 cnf(14049,plain,
% 131.11/131.80 (P9(x140491,x140492,x140493,x140494,x140492,x140491,x140494,x140493)),
% 131.11/131.80 inference(rename_variables,[],[8712])).
% 131.11/131.80 cnf(14066,plain,
% 131.11/131.80 (~P9(x140661,x140662,x140661,x140662,a18,a17,a18,a16)),
% 131.11/131.80 inference(scs_inference,[],[8201,8396,8174,8521,8712,14049,9033,10014,9632,9304,12555,10954,10205,12114,8901,10920,11341,10369,12541,13466,13839,251,253,250,252,162,152,790,150,158,149,151,161,163,229,223,164,804,754,6691,6829,154,165,166,224,736,743,6794,260])).
% 131.11/131.80 cnf(14067,plain,
% 131.11/131.80 (P9(x140671,x140672,x140671,x140672,x140673,x140674,x140673,x140674)),
% 131.11/131.80 inference(rename_variables,[],[8174])).
% 131.11/131.80 cnf(14075,plain,
% 131.11/131.80 (P3(x140751,x140752,x140752,x140751)),
% 131.11/131.80 inference(rename_variables,[],[8396])).
% 131.11/131.80 cnf(14078,plain,
% 131.11/131.80 (P3(x140781,x140782,x140782,x140781)),
% 131.11/131.80 inference(rename_variables,[],[8396])).
% 131.11/131.80 cnf(14082,plain,
% 131.11/131.80 (~P8(a18,a17,a18,a17,x140821,x140821,x140821,x140821)),
% 131.11/131.80 inference(scs_inference,[],[4303,8201,8396,14043,14075,8174,9784,8521,8712,14049,9033,10014,9632,9304,12555,10954,10205,12114,8901,11030,8620,10920,11341,10369,12541,8866,13466,13839,251,253,250,252,162,152,790,150,158,149,151,161,163,229,223,164,804,754,6691,6829,154,165,166,224,736,743,6794,260,225,261,178,180,182,241])).
% 131.11/131.80 cnf(14085,plain,
% 131.11/131.80 (P7(a2,x140851,x140851)),
% 131.11/131.80 inference(rename_variables,[],[9632])).
% 131.11/131.80 cnf(14093,plain,
% 131.11/131.80 (P3(x140931,x140932,x140932,x140931)),
% 131.11/131.80 inference(rename_variables,[],[8396])).
% 131.11/131.80 cnf(14102,plain,
% 131.11/131.80 (P10(x141021,x141022,x141022,x141021)),
% 131.11/131.80 inference(rename_variables,[],[8201])).
% 131.11/131.80 cnf(14127,plain,
% 131.11/131.80 (P9(x141271,x141272,x141273,x141274,x141271,x141272,x141273,x141274)),
% 131.11/131.80 inference(rename_variables,[],[8221])).
% 131.11/131.80 cnf(14133,plain,
% 131.11/131.80 (~P4(a18,a18,a17,a17)),
% 131.11/131.80 inference(scs_inference,[],[4303,8201,14024,14102,8169,268,8396,14043,14075,14078,14093,8174,14067,8221,9784,4657,8521,8712,14049,9033,10014,9632,14085,9304,12555,10954,10205,12114,8461,8901,10454,11030,12328,12686,8620,4960,12835,10920,12893,11341,8386,10369,12541,9999,10491,8866,10173,13466,12530,11988,13839,11840,251,253,250,252,162,152,790,150,158,149,151,161,163,229,223,164,804,754,6691,6829,154,165,166,224,736,743,6794,260,225,261,178,180,182,241,171,820,183,227,155,153,159,177,240,156,172,181,228,129,128,226,194,249,2,169,168])).
% 131.11/131.80 cnf(14135,plain,
% 131.11/131.80 (~P8(x141351,x141351,x141351,x141351,a18,a17,a18,a17)),
% 131.11/131.80 inference(scs_inference,[],[4303,8201,14024,14102,8169,268,8396,14043,14075,14078,14093,8174,14067,8221,9784,4657,8521,8712,14049,9033,10014,9632,14085,9304,12555,10954,10205,12114,8461,8901,10454,11030,12328,12686,8620,4960,12835,10920,12893,11341,8386,10369,12541,9999,10491,8866,10173,13466,12530,11988,13839,11840,251,253,250,252,162,152,790,150,158,149,151,161,163,229,223,164,804,754,6691,6829,154,165,166,224,736,743,6794,260,225,261,178,180,182,241,171,820,183,227,155,153,159,177,240,156,172,181,228,129,128,226,194,249,2,169,168,254])).
% 131.11/131.80 cnf(14137,plain,
% 131.11/131.80 (~P8(a17,a18,a18,a17,x141371,x141371,x141371,x141371)),
% 131.11/131.80 inference(scs_inference,[],[4303,8201,14024,14102,8169,268,8396,14043,14075,14078,14093,8174,14067,8221,9784,4657,8521,8712,14049,9033,10014,9632,14085,9304,12555,10954,10205,12114,8461,8901,10454,11030,12328,12686,8620,4960,12835,10920,12893,11341,8386,10369,12541,9999,10491,8866,10173,13466,12530,11988,13839,11840,251,253,250,252,162,152,790,150,158,149,151,161,163,229,223,164,804,754,6691,6829,154,165,166,224,736,743,6794,260,225,261,178,180,182,241,171,820,183,227,155,153,159,177,240,156,172,181,228,129,128,226,194,249,2,169,168,254,256])).
% 131.11/131.80 cnf(14139,plain,
% 131.11/131.80 (~P8(a18,a17,x141391,x141391,a18,a17,x141391,x141391)),
% 131.11/131.80 inference(scs_inference,[],[4303,8201,14024,14102,8169,268,8396,14043,14075,14078,14093,8174,14067,8221,9784,4657,8521,8712,14049,9033,10014,9632,14085,9304,12555,10954,10205,12114,8461,8901,10454,11030,12328,12686,8620,4960,12835,10920,12893,11341,8386,10369,12541,9999,10491,8866,10173,13466,12530,11988,13839,11840,251,253,250,252,162,152,790,150,158,149,151,161,163,229,223,164,804,754,6691,6829,154,165,166,224,736,743,6794,260,225,261,178,180,182,241,171,820,183,227,155,153,159,177,240,156,172,181,228,129,128,226,194,249,2,169,168,254,256,257])).
% 131.11/131.80 cnf(14141,plain,
% 131.11/131.80 (~P4(a17,a18,a17,a18)),
% 131.11/131.80 inference(scs_inference,[],[4303,8201,14024,14102,8169,268,8396,14043,14075,14078,14093,8174,14067,8221,9784,4657,8521,8712,14049,9033,10014,9632,14085,9304,12555,10954,10205,12114,8461,8901,10454,11030,12328,12686,8620,4960,12835,10920,12893,11341,8386,10369,12541,9999,10491,8866,10173,13466,12530,11988,13839,11840,251,253,250,252,162,152,790,150,158,149,151,161,163,229,223,164,804,754,6691,6829,154,165,166,224,736,743,6794,260,225,261,178,180,182,241,171,820,183,227,155,153,159,177,240,156,172,181,228,129,128,226,194,249,2,169,168,254,256,257,167])).
% 131.11/131.80 cnf(14145,plain,
% 131.11/131.80 (~P11(a17,a16,a18,a17,a17,a17)),
% 131.11/131.80 inference(scs_inference,[],[4303,8201,14024,14102,8169,268,8396,14043,14075,14078,14093,8174,14067,8221,9784,4657,8521,8712,14049,9033,10014,9632,14085,9304,12555,10954,10205,12114,8461,8901,10454,11030,12328,12686,8620,4960,12835,10920,12893,11341,8386,10369,12541,9999,10491,8866,10173,13466,12530,11988,13839,11840,251,253,250,252,162,152,790,150,158,149,151,161,163,229,223,164,804,754,6691,6829,154,165,166,224,736,743,6794,260,225,261,178,180,182,241,171,820,183,227,155,153,159,177,240,156,172,181,228,129,128,226,194,249,2,169,168,254,256,257,167,255,214])).
% 131.11/131.80 cnf(14147,plain,
% 131.11/131.80 (~P11(a18,a17,a16,a17,a17,a17)),
% 131.11/131.80 inference(scs_inference,[],[4303,8201,14024,14102,8169,268,8396,14043,14075,14078,14093,8174,14067,8221,9784,4657,8521,8712,14049,9033,10014,9632,14085,9304,12555,10954,10205,12114,8461,8901,10454,11030,12328,12686,8620,4960,12835,10920,12893,11341,8386,10369,12541,9999,10491,8866,10173,13466,12530,11988,13839,11840,251,253,250,252,162,152,790,150,158,149,151,161,163,229,223,164,804,754,6691,6829,154,165,166,224,736,743,6794,260,225,261,178,180,182,241,171,820,183,227,155,153,159,177,240,156,172,181,228,129,128,226,194,249,2,169,168,254,256,257,167,255,214,213])).
% 131.11/131.80 cnf(14151,plain,
% 131.11/131.80 (~P8(a18,a17,a18,a17,a3,a2,a2,a2)),
% 131.11/131.80 inference(scs_inference,[],[4303,8201,14024,14102,8169,268,8396,14043,14075,14078,14093,8174,14067,8221,9784,4657,8521,8712,14049,9033,10014,9632,14085,9304,12555,10954,10205,12114,8461,8901,10454,11030,12328,12686,8620,4960,12835,10920,12893,11341,8386,10369,12541,9999,10491,8866,10173,13466,12530,11988,13839,11840,251,253,250,252,162,152,790,150,158,149,151,161,163,229,223,164,804,754,6691,6829,154,165,166,224,736,743,6794,260,225,261,178,180,182,241,171,820,183,227,155,153,159,177,240,156,172,181,228,129,128,226,194,249,2,169,168,254,256,257,167,255,214,213,212,5415])).
% 131.11/131.80 cnf(14159,plain,
% 131.11/131.80 (~P6(a17,a18,x141591,a17,a18,x141592)),
% 131.11/131.80 inference(scs_inference,[],[4303,8201,14024,14102,8169,268,8396,14043,14075,14078,14093,8174,14067,8221,9784,4657,8521,8712,14049,9033,10014,9632,14085,9304,12555,10954,10205,12114,8461,8901,10454,11030,12328,12686,8620,4960,12835,10920,12893,11341,8386,10369,12541,9999,10491,8866,10173,13466,12530,11988,13839,11840,251,253,250,252,162,152,790,150,158,149,151,161,163,229,223,164,804,754,6691,6829,154,165,166,224,736,743,6794,260,225,261,178,180,182,241,171,820,183,227,155,153,159,177,240,156,172,181,228,129,128,226,194,249,2,169,168,254,256,257,167,255,214,213,212,5415,230,5200,200,216])).
% 131.11/131.80 cnf(14161,plain,
% 131.11/131.80 (~P6(a18,x141611,a17,a18,x141612,a17)),
% 131.11/131.80 inference(scs_inference,[],[4303,8201,14024,14102,8169,268,8396,14043,14075,14078,14093,8174,14067,8221,9784,4657,8521,8712,14049,9033,10014,9632,14085,9304,12555,10954,10205,12114,8461,8901,10454,11030,12328,12686,8620,4960,12835,10920,12893,11341,8386,10369,12541,9999,10491,8866,10173,13466,12530,11988,13839,11840,251,253,250,252,162,152,790,150,158,149,151,161,163,229,223,164,804,754,6691,6829,154,165,166,224,736,743,6794,260,225,261,178,180,182,241,171,820,183,227,155,153,159,177,240,156,172,181,228,129,128,226,194,249,2,169,168,254,256,257,167,255,214,213,212,5415,230,5200,200,216,217])).
% 131.11/131.80 cnf(14167,plain,
% 131.11/131.80 (~P5(a18,a17,a2,a17)),
% 131.11/131.80 inference(scs_inference,[],[4303,8201,14024,14102,8169,268,8396,14043,14075,14078,14093,8174,14067,8221,9784,4657,8521,8712,14049,9033,10014,9632,14085,9304,12555,10954,10205,12114,8461,8901,10454,11030,12328,12686,8620,4960,12835,10920,12893,11341,8386,10369,12541,9999,10491,8866,10173,13466,12530,11988,13839,11840,251,253,250,252,162,152,790,150,158,149,151,161,163,229,223,164,804,754,6691,6829,154,165,166,224,736,743,6794,260,225,261,178,180,182,241,171,820,183,227,155,153,159,177,240,156,172,181,228,129,128,226,194,249,2,169,168,254,256,257,167,255,214,213,212,5415,230,5200,200,216,217,1410,234,179])).
% 131.11/131.80 cnf(14184,plain,
% 131.11/131.80 (~P6(a17,a18,x141841,a17,a2,x141842)),
% 131.11/131.80 inference(scs_inference,[],[146,4303,8201,14024,14102,8169,268,8396,14043,14075,14078,14093,8174,14067,8221,9784,4657,8521,8712,14049,9033,10014,9632,14085,9304,12555,10954,10205,12114,8461,8901,10454,11030,12328,12686,8620,8410,4960,12835,10113,10920,12034,12893,11341,11521,8386,10369,12541,9999,10491,8866,10173,13466,12530,11988,13839,11840,251,253,250,252,162,152,790,150,158,149,151,161,163,229,223,164,804,754,6691,6829,154,165,166,224,736,743,6794,260,225,261,178,180,182,241,171,820,183,227,155,153,159,177,240,156,172,181,228,129,128,226,194,249,2,169,168,254,256,257,167,255,214,213,212,5415,230,5200,200,216,217,1410,234,179,239,221,101,218,99,133,215,1666])).
% 131.11/131.80 cnf(14190,plain,
% 131.11/131.80 (~E(a16,a2)),
% 131.11/131.80 inference(scs_inference,[],[146,6679,4303,8201,14024,14102,8169,268,8396,14043,14075,14078,14093,8174,14067,8221,14127,9784,4657,8521,8712,14049,9033,10014,9632,14085,9304,12555,10954,10205,12114,8461,8901,10454,11030,12328,12686,8620,8410,4960,12835,10113,7817,10920,12034,12893,11341,11521,8386,10369,12541,9999,10491,8866,10173,13466,12530,11988,13839,11840,251,253,250,252,162,152,790,150,158,149,151,161,163,229,223,164,804,754,6691,6829,154,165,166,224,736,743,6794,260,225,261,178,180,182,241,171,820,183,227,155,153,159,177,240,156,172,181,228,129,128,226,194,249,2,169,168,254,256,257,167,255,214,213,212,5415,230,5200,200,216,217,1410,234,179,239,221,101,218,99,133,215,1666,755,117,118,119])).
% 131.11/131.80 cnf(14244,plain,
% 131.11/131.80 (~P8(a17,a18,a18,a17,x142441,x142441,x142441,x142441)),
% 131.11/131.80 inference(rename_variables,[],[14137])).
% 131.11/131.80 cnf(14281,plain,
% 131.11/131.80 (~P8(a18,a17,a18,a17,x142811,x142811,x142811,x142811)),
% 131.11/131.80 inference(rename_variables,[],[14082])).
% 131.11/131.80 cnf(14306,plain,
% 131.11/131.80 (P3(x143061,x143062,x143062,x143061)),
% 131.11/131.80 inference(rename_variables,[],[8396])).
% 131.11/131.80 cnf(14318,plain,
% 131.11/131.80 ($false),
% 131.11/131.80 inference(scs_inference,[],[4472,8169,8396,14306,8174,9784,8264,8712,10014,9304,10205,10954,12114,8392,11595,11721,8461,11030,6953,5359,9790,10113,8386,9357,11521,9191,8381,7907,7971,7958,14082,14281,14135,14137,14244,14139,14151,7768,14066,14167,14133,14141,14190,13975,13938,14145,14147,14159,14161,14184,251,253,250,252,2,169,168,256,254,152,162,257,255,790,214,150,213,158,149,161,151,163,212,223,164,5415,6691,230,754,5200,215,200,736,166,165,216,154,224,217,1410,743,13484,5255,5145,8200,1682,1922,2114,2258,2322,225,234,89,88,90,261,178,180,182,241,221,183]),
% 131.11/131.80 ['proof']).
% 131.11/131.81 % SZS output end Proof
% 131.11/131.81 % Total time :130.470000s
%------------------------------------------------------------------------------