TSTP Solution File: GEO650+1 by CSE---1.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : GEO650+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 06:06:05 EDT 2024

% Result   : Theorem 98.67s 98.71s
% Output   : CNFRefutation 98.67s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : GEO650+1 : TPTP v8.2.0. Released v7.5.0.
% 0.04/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri Jun 21 07:22:54 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.56/0.58  start to proof:theBenchmark
% 98.67/98.70  %-------------------------------------------
% 98.67/98.70  % File        :CSE---1.7
% 98.67/98.70  % Problem     :theBenchmark
% 98.67/98.70  % Transform   :cnf
% 98.67/98.70  % Format      :tptp:raw
% 98.67/98.70  % Command     :java -jar mcs_scs.jar %d %s
% 98.67/98.70  
% 98.67/98.70  % Result      :Theorem 98.020000s
% 98.67/98.70  % Output      :CNFRefutation 98.020000s
% 98.67/98.70  %-------------------------------------------
% 98.67/98.71  %------------------------------------------------------------------------------
% 98.67/98.71  % File     : GEO650+1 : TPTP v8.2.0. Released v7.5.0.
% 98.67/98.71  % Domain   : Geometry
% 98.67/98.71  % Problem  : JGEX problem E022-11
% 98.67/98.71  % Version  : [CGZ00] axioms.
% 98.67/98.71  % English  :
% 98.67/98.71  
% 98.67/98.71  % Refs     : [CGZ00] Chou et al. (2000), A Deductive Database Approach to A
% 98.67/98.71  %          : [YCG08] Ye et al. (2008), An Introduction to Java Geometry Exp
% 98.67/98.71  %          : [Qua20] Quaresma (2020), Email to Geoff Sutcliffe
% 98.67/98.71  % Source   : [Qua20]
% 98.67/98.71  % Names    : E022-11.p [Qua20]
% 98.67/98.71  
% 98.67/98.71  % Status   : Theorem
% 98.67/98.71  % Rating   : 0.44 v8.1.0, 0.47 v7.5.0
% 98.67/98.71  % Syntax   : Number of formulae    :   95 (   0 unt;   0 def)
% 98.67/98.71  %            Number of atoms       :  296 (   1 equ)
% 98.67/98.71  %            Maximal formula atoms :   13 (   3 avg)
% 98.67/98.71  %            Number of connectives :  208 (   7   ~;   0   |; 106   &)
% 98.67/98.71  %                                         (   0 <=>;  95  =>;   0  <=;   0 <~>)
% 98.67/98.71  %            Maximal formula depth :   23 (   9 avg)
% 98.67/98.71  %            Maximal term depth    :    1 (   1 avg)
% 98.67/98.71  %            Number of predicates  :   12 (  11 usr;   0 prp; 2-8 aty)
% 98.67/98.71  %            Number of functors    :    0 (   0 usr;   0 con; --- aty)
% 98.67/98.71  %            Number of variables   :  532 ( 512   !;  20   ?)
% 98.67/98.71  % SPC      : FOF_THM_RFO_SEQ
% 98.67/98.71  
% 98.67/98.71  % Comments : Taken from JGEX [YCG08], converted by Pedro Quaresma.
% 98.67/98.71  %------------------------------------------------------------------------------
% 98.67/98.71  include('Axioms/GEO012+0.ax').
% 98.67/98.71  %------------------------------------------------------------------------------
% 98.67/98.71  fof(exemplo6GDDFULLmoreE02211,conjecture,
% 98.67/98.71      ! [A,B,C,D,E,F,G,MIDPNT1,MIDPNT2,MIDPNT3] :
% 98.67/98.71        ( ( midp(MIDPNT1,A,B)
% 98.67/98.71          & perp(A,B,MIDPNT1,D)
% 98.67/98.71          & midp(MIDPNT2,A,C)
% 98.67/98.71          & perp(A,C,MIDPNT2,D)
% 98.67/98.71          & midp(MIDPNT3,B,C)
% 98.67/98.71          & perp(B,C,MIDPNT3,D)
% 98.67/98.71          & perp(C,D,C,E)
% 98.67/98.71          & perp(B,D,B,E)
% 98.67/98.71          & perp(F,D,A,B)
% 98.67/98.71          & coll(F,A,B)
% 98.67/98.71          & coll(G,D,F)
% 98.67/98.71          & coll(G,A,C) )
% 98.67/98.71       => para(G,E,A,B) ) ).
% 98.67/98.71  
% 98.67/98.71  %------------------------------------------------------------------------------
% 98.67/98.71  %-------------------------------------------
% 98.67/98.71  % Proof found
% 98.67/98.71  % SZS status Theorem for theBenchmark
% 98.67/98.71  % SZS output start Proof
% 98.67/98.72  %ClaNum:267(EqnAxiom:141)
% 98.67/98.72  %VarNum:1613(SingletonVarNum:590)
% 98.67/98.72  %MaxLitNum:5
% 98.67/98.72  %MaxfuncDepth:1
% 98.67/98.72  %SharedTerms:23
% 98.67/98.72  %goalClause: 142 143 144 145 146 147 148 149 150 151 152 153 154
% 98.67/98.72  %singleGoalClaCount:13
% 98.67/98.72  [142]P1(a1,a2,a15)
% 98.67/98.72  [143]P1(a19,a2,a16)
% 98.67/98.72  [144]P1(a19,a17,a1)
% 98.67/98.72  [145]P3(a20,a2,a15)
% 98.67/98.72  [146]P3(a21,a2,a16)
% 98.67/98.72  [147]P3(a22,a15,a16)
% 98.67/98.72  [148]P9(a2,a15,a20,a17)
% 98.67/98.72  [149]P9(a2,a16,a21,a17)
% 98.67/98.72  [150]P9(a15,a16,a22,a17)
% 98.67/98.72  [151]P9(a15,a17,a15,a18)
% 98.67/98.72  [152]P9(a16,a17,a16,a18)
% 98.67/98.72  [153]P9(a1,a17,a2,a15)
% 98.67/98.72  [154]~P10(a19,a18,a2,a15)
% 98.67/98.72  [155]~P1(x1552,x1551,x1553)+P1(x1551,x1552,x1553)
% 98.67/98.72  [156]~P1(x1561,x1563,x1562)+P1(x1561,x1562,x1563)
% 98.67/98.72  [157]~P3(x1571,x1572,x1573)+P1(x1571,x1572,x1573)
% 98.67/98.72  [158]~P3(x1581,x1583,x1582)+P3(x1581,x1582,x1583)
% 98.67/98.72  [160]~P3(x1601,x1602,x1603)+P4(x1601,x1602,x1601,x1603)
% 98.67/98.72  [164]~P10(x1641,x1642,x1641,x1643)+P1(x1641,x1642,x1643)
% 98.67/98.72  [230]~P4(x2301,x2302,x2301,x2303)+P8(x2301,x2302,x2302,x2303,x2302,x2303,x2301,x2303)
% 98.67/98.72  [167]~P10(x1673,x1674,x1671,x1672)+P10(x1671,x1672,x1673,x1674)
% 98.67/98.72  [168]~P10(x1681,x1682,x1684,x1683)+P10(x1681,x1682,x1683,x1684)
% 98.67/98.72  [169]~P9(x1693,x1694,x1691,x1692)+P9(x1691,x1692,x1693,x1694)
% 98.67/98.72  [170]~P9(x1701,x1702,x1704,x1703)+P9(x1701,x1702,x1703,x1704)
% 98.67/98.72  [171]~P4(x1713,x1714,x1711,x1712)+P4(x1711,x1712,x1713,x1714)
% 98.67/98.72  [172]~P4(x1721,x1722,x1724,x1723)+P4(x1721,x1722,x1723,x1724)
% 98.67/98.72  [173]~P5(x1732,x1731,x1733,x1734)+P5(x1731,x1732,x1733,x1734)
% 98.67/98.72  [174]~P5(x1741,x1743,x1742,x1744)+P5(x1741,x1742,x1743,x1744)
% 98.67/98.72  [175]~P5(x1751,x1752,x1754,x1753)+P5(x1751,x1752,x1753,x1754)
% 98.67/98.72  [228]~P5(x2282,x2283,x2281,x2284)+P8(x2281,x2282,x2281,x2283,x2284,x2282,x2284,x2283)
% 98.67/98.72  [191]~P2(x1914,x1911,x1912,x1913)+P9(f7(x1911,x1912,x1913,x1914),x1911,x1911,x1914)
% 98.67/98.72  [206]P4(x2061,x2062,x2063,x2064)+~P6(x2061,x2062,x2065,x2063,x2064,x2066)
% 98.67/98.72  [218]~P11(x2184,x2185,x2186,x2181,x2182,x2183)+P11(x2181,x2182,x2183,x2184,x2185,x2186)
% 98.67/98.72  [219]~P11(x2192,x2191,x2193,x2195,x2194,x2196)+P11(x2191,x2192,x2193,x2194,x2195,x2196)
% 98.67/98.72  [220]~P11(x2201,x2203,x2202,x2204,x2206,x2205)+P11(x2201,x2202,x2203,x2204,x2205,x2206)
% 98.67/98.72  [221]~P6(x2214,x2215,x2216,x2211,x2212,x2213)+P6(x2211,x2212,x2213,x2214,x2215,x2216)
% 98.67/98.72  [222]~P6(x2222,x2221,x2223,x2225,x2224,x2226)+P6(x2221,x2222,x2223,x2224,x2225,x2226)
% 98.67/98.72  [223]~P6(x2231,x2233,x2232,x2234,x2236,x2235)+P6(x2231,x2232,x2233,x2234,x2235,x2236)
% 98.67/98.72  [229]~P10(x2291,x2292,x2295,x2296)+P8(x2291,x2292,x2293,x2294,x2295,x2296,x2293,x2294)
% 98.67/98.72  [235]~P11(x2351,x2352,x2353,x2354,x2355,x2356)+P8(x2351,x2352,x2352,x2353,x2354,x2355,x2355,x2356)
% 98.67/98.72  [236]~P11(x2361,x2362,x2363,x2364,x2365,x2366)+P7(x2361,x2362,x2361,x2363,x2364,x2365,x2364,x2366)
% 98.67/98.72  [237]~P8(x2371,x2372,x2375,x2376,x2373,x2374,x2375,x2376)+P10(x2371,x2372,x2373,x2374)
% 98.67/98.72  [256]~P8(x2565,x2566,x2567,x2568,x2561,x2562,x2563,x2564)+P8(x2561,x2562,x2563,x2564,x2565,x2566,x2567,x2568)
% 98.67/98.72  [257]~P8(x2573,x2574,x2571,x2572,x2577,x2578,x2575,x2576)+P8(x2571,x2572,x2573,x2574,x2575,x2576,x2577,x2578)
% 98.67/98.72  [258]~P8(x2582,x2581,x2583,x2584,x2585,x2586,x2587,x2588)+P8(x2581,x2582,x2583,x2584,x2585,x2586,x2587,x2588)
% 98.67/98.72  [259]~P8(x2591,x2592,x2595,x2596,x2593,x2594,x2597,x2598)+P8(x2591,x2592,x2593,x2594,x2595,x2596,x2597,x2598)
% 98.67/98.72  [260]~P7(x2605,x2606,x2607,x2608,x2601,x2602,x2603,x2604)+P7(x2601,x2602,x2603,x2604,x2605,x2606,x2607,x2608)
% 98.67/98.72  [261]~P7(x2613,x2614,x2611,x2612,x2617,x2618,x2615,x2616)+P7(x2611,x2612,x2613,x2614,x2615,x2616,x2617,x2618)
% 98.67/98.72  [262]~P7(x2622,x2621,x2623,x2624,x2625,x2626,x2627,x2628)+P7(x2621,x2622,x2623,x2624,x2625,x2626,x2627,x2628)
% 98.67/98.72  [263]~P7(x2631,x2632,x2635,x2636,x2633,x2634,x2637,x2638)+P7(x2631,x2632,x2633,x2634,x2635,x2636,x2637,x2638)
% 98.67/98.72  [165]~P1(x1651,x1652,x1653)+~P4(x1651,x1652,x1651,x1653)+P3(x1651,x1652,x1653)
% 98.67/98.72  [239]P4(x2391,x2392,x2391,x2393)+~P8(x2391,x2392,x2392,x2393,x2392,x2393,x2391,x2393)+P1(x2391,x2392,x2393)
% 98.67/98.72  [180]~P9(x1801,x1802,x1802,x1803)+~P4(x1802,x1801,x1802,x1803)+P1(x1801,x1802,f3(x1801,x1803,x1802))
% 98.67/98.72  [192]~P9(x1922,x1921,x1921,x1923)+~P4(x1921,x1922,x1921,x1923)+P4(x1921,x1922,x1921,f3(x1922,x1923,x1921))
% 98.67/98.72  [159]~P1(x1593,x1594,x1591)+P1(x1591,x1592,x1593)+~P1(x1593,x1594,x1592)
% 98.67/98.72  [176]~P2(x1764,x1761,x1762,x1763)+P9(x1761,x1762,x1762,x1763)+~P1(x1764,x1761,x1763)
% 98.67/98.72  [177]~P9(x1771,x1774,x1772,x1773)+P4(x1771,x1772,x1771,x1773)+~P3(x1774,x1772,x1773)
% 98.67/98.72  [178]~P9(x1781,x1783,x1783,x1784)+P4(x1781,x1782,x1783,x1782)+~P3(x1782,x1781,x1784)
% 98.67/98.72  [185]~P4(x1851,x1854,x1852,x1854)+~P4(x1851,x1853,x1852,x1853)+P9(x1851,x1852,x1853,x1854)
% 98.67/98.72  [188]~P4(x1881,x1882,x1881,x1884)+~P4(x1881,x1882,x1881,x1883)+P2(x1881,x1882,x1883,x1884)
% 98.67/98.72  [234]~P10(x2341,x2344,x2343,x2342)+~P5(x2341,x2344,x2343,x2342)+P8(x2341,x2342,x2343,x2342,x2343,x2342,x2343,x2344)
% 98.67/98.72  [238]~P8(x2381,x2383,x2381,x2384,x2382,x2383,x2382,x2384)+P1(x2381,x2382,x2383)+P5(x2383,x2384,x2381,x2382)
% 98.67/98.72  [240]~P1(x2403,x2404,x2402)+~P8(x2403,x2401,x2403,x2402,x2404,x2401,x2404,x2402)+P5(x2401,x2402,x2403,x2404)
% 98.67/98.72  [242]P9(x2421,x2422,x2423,x2424)+~P8(x2421,x2422,x2423,x2424,x2423,x2424,x2421,x2422)+P10(x2421,x2422,x2423,x2424)
% 98.67/98.72  [181]~P9(x1811,x1814,x1812,x1813)+~P9(x1812,x1814,x1811,x1813)+P1(f4(x1811,x1812,x1813),x1813,x1812)
% 98.67/98.72  [182]~P9(x1821,x1824,x1822,x1823)+~P9(x1822,x1824,x1821,x1823)+P1(f5(x1821,x1822,x1823),x1823,x1821)
% 98.67/98.72  [193]~P9(x1931,x1934,x1932,x1933)+~P9(x1932,x1934,x1931,x1933)+P9(x1931,f4(x1931,x1932,x1933),x1933,x1932)
% 98.67/98.72  [194]~P9(x1941,x1944,x1942,x1943)+~P9(x1942,x1944,x1941,x1943)+P9(x1941,f5(x1942,x1941,x1943),x1943,x1942)
% 98.67/98.72  [195]~P9(x1951,x1953,x1953,x1952)+~P5(x1951,x1952,x1953,x1954)+P2(f8(x1951,x1952,x1953),x1951,x1952,x1953)
% 98.67/98.72  [197]~P9(x1973,x1974,x1972,x1971)+~P4(x1973,x1972,x1973,x1971)+P1(x1971,x1972,f25(x1972,x1971,x1973,x1974))
% 98.67/98.72  [198]~P9(x1983,x1984,x1981,x1982)+~P4(x1983,x1981,x1983,x1982)+P1(f25(x1981,x1982,x1983,x1984),x1983,x1984)
% 98.67/98.72  [249]~P4(x2493,x2492,x2493,x2491)+~P8(x2492,x2493,x2493,x2494,x2493,x2494,x2493,x2491)+P1(x2491,x2492,f23(x2492,x2491,x2493,x2494))
% 98.67/98.72  [250]~P9(x2503,x2504,x2502,x2501)+~P8(x2502,x2503,x2503,x2504,x2503,x2504,x2503,x2501)+P1(x2501,x2502,f26(x2502,x2501,x2503,x2504))
% 98.67/98.72  [251]~P9(x2513,x2512,x2512,x2511)+~P8(x2514,x2513,x2512,x2513,x2512,x2513,x2511,x2513)+P1(f14(x2511,x2512,x2513,x2514),x2513,x2514)
% 98.67/98.72  [252]~P9(x2523,x2522,x2522,x2521)+~P8(x2524,x2523,x2522,x2523,x2522,x2523,x2521,x2523)+P1(f14(x2521,x2522,x2523,x2524),x2521,x2522)
% 98.67/98.72  [253]~P4(x2533,x2531,x2533,x2532)+~P8(x2531,x2533,x2533,x2534,x2533,x2534,x2533,x2532)+P1(f23(x2531,x2532,x2533,x2534),x2533,x2534)
% 98.67/98.72  [254]~P9(x2543,x2544,x2541,x2542)+~P8(x2541,x2543,x2543,x2544,x2543,x2544,x2543,x2542)+P1(f26(x2541,x2542,x2543,x2544),x2543,x2544)
% 98.67/98.72  [161]~P3(x1615,x1611,x1613)+P10(x1611,x1612,x1613,x1614)+~P3(x1615,x1612,x1614)
% 98.67/98.72  [162]~P3(x1621,x1625,x1623)+P10(x1621,x1622,x1623,x1624)+~P3(x1622,x1625,x1624)
% 98.67/98.72  [189]~P5(x1895,x1891,x1892,x1893)+P5(x1891,x1892,x1893,x1894)+~P5(x1895,x1891,x1892,x1894)
% 98.67/98.72  [231]~P3(x2315,x2312,x2313)+~P2(x2314,x2311,x2312,x2313)+P8(x2311,x2312,x2311,x2313,x2314,x2312,x2314,x2315)
% 98.67/98.72  [233]~P2(x2335,x2331,x2333,x2334)+P8(x2331,x2332,x2331,x2333,x2334,x2331,x2334,x2333)+~P9(x2335,x2331,x2331,x2332)
% 98.67/98.72  [246]~P8(x2462,x2463,x2462,x2464,x2465,x2462,x2465,x2464)+P9(x2461,x2462,x2462,x2463)+~P2(x2461,x2462,x2464,x2465)
% 98.67/98.72  [201]~P1(x2012,x2014,x2015)+~P9(x2011,x2013,x2013,x2012)+P1(f12(x2011,x2012,x2013,x2014,x2015),x2014,x2015)
% 98.67/98.72  [202]~P1(x2022,x2024,x2025)+~P9(x2021,x2023,x2023,x2022)+P9(f12(x2021,x2022,x2023,x2024,x2025),x2021,x2024,x2025)
% 98.67/98.72  [203]~P9(x2033,x2034,x2034,x2031)+~P4(x2031,x2032,x2031,x2035)+P4(x2031,x2032,x2031,f29(x2033,x2034,x2032,x2035,x2031))
% 98.67/98.72  [204]~P9(x2043,x2041,x2041,x2045)+~P4(x2045,x2042,x2045,x2044)+P4(x2041,x2042,x2041,f29(x2043,x2041,x2042,x2044,x2045))
% 98.67/98.72  [205]~P9(x2051,x2052,x2052,x2055)+~P4(x2055,x2053,x2055,x2054)+P10(f29(x2051,x2052,x2053,x2054,x2055),x2053,x2051,x2052)
% 98.67/98.72  [248]~P8(x2481,x2483,x2482,x2483,x2481,x2484,x2482,x2485)+P1(x2481,x2482,x2483)+P5(x2484,x2482,x2483,f28(x2481,x2482,x2483,x2484))
% 98.67/98.72  [264]~P8(x2641,x2643,x2642,x2643,x2641,x2644,x2642,x2645)+P1(x2641,x2642,x2643)+P8(x2641,x2643,x2642,x2643,x2641,f28(x2641,x2642,x2643,x2644),x2642,f28(x2641,x2642,x2643,x2644))
% 98.67/98.72  [183]~P10(x1831,x1832,x1835,x1836)+P10(x1831,x1832,x1833,x1834)+~P10(x1835,x1836,x1833,x1834)
% 98.67/98.72  [184]~P9(x1841,x1842,x1845,x1846)+P10(x1841,x1842,x1843,x1844)+~P9(x1845,x1846,x1843,x1844)
% 98.67/98.72  [186]~P9(x1865,x1866,x1863,x1864)+P9(x1861,x1862,x1863,x1864)+~P10(x1861,x1862,x1865,x1866)
% 98.67/98.72  [187]~P4(x1871,x1872,x1875,x1876)+P4(x1871,x1872,x1873,x1874)+~P4(x1875,x1876,x1873,x1874)
% 98.67/98.72  [224]~P4(x2241,x2242,x2244,x2245)+~P11(x2241,x2242,x2243,x2244,x2245,x2246)+P6(x2241,x2242,x2243,x2244,x2245,x2246)
% 98.67/98.72  [227]~P3(x2274,x2275,x2276)+~P3(x2271,x2272,x2273)+P7(x2271,x2272,x2272,x2273,x2274,x2275,x2275,x2276)
% 98.67/98.72  [207]~P3(x2076,x2073,x2074)+~P3(x2075,x2071,x2072)+P3(f27(x2071,x2072,x2073,x2074,x2075,x2076),x2071,x2074)
% 98.67/98.72  [208]~P3(x2086,x2083,x2084)+~P3(x2085,x2081,x2082)+P10(f27(x2081,x2082,x2083,x2084,x2085,x2086),x2086,x2081,x2083)
% 98.67/98.72  [209]~P3(x2096,x2093,x2094)+~P3(x2095,x2091,x2092)+P10(f27(x2091,x2092,x2093,x2094,x2095,x2096),x2095,x2092,x2094)
% 98.67/98.72  [244]~P8(x2441,x2442,x2443,x2444,x2445,x2446,x2447,x2448)+P10(x2441,x2442,x2443,x2444)+~P10(x2445,x2446,x2447,x2448)
% 98.67/98.72  [245]~P8(x2451,x2452,x2453,x2454,x2455,x2456,x2457,x2458)+P9(x2451,x2452,x2453,x2454)+~P9(x2455,x2456,x2457,x2458)
% 98.67/98.72  [247]~P7(x2471,x2472,x2473,x2474,x2475,x2476,x2477,x2478)+P4(x2471,x2472,x2473,x2474)+~P4(x2475,x2476,x2477,x2478)
% 98.67/98.72  [225]~P11(x2251,x2252,x2253,x2257,x2258,x2259)+P11(x2251,x2252,x2253,x2254,x2255,x2256)+~P11(x2257,x2258,x2259,x2254,x2255,x2256)
% 98.67/98.72  [226]~P6(x2261,x2262,x2263,x2267,x2268,x2269)+P6(x2261,x2262,x2263,x2264,x2265,x2266)+~P6(x2267,x2268,x2269,x2264,x2265,x2266)
% 98.67/98.72  [266]~P8(x2661,x2662,x2663,x2664,x2669,x26610,x26611,x26612)+P8(x2661,x2662,x2663,x2664,x2665,x2666,x2667,x2668)+~P8(x2669,x26610,x26611,x26612,x2665,x2666,x2667,x2668)
% 98.67/98.72  [267]~P7(x2671,x2672,x2673,x2674,x2679,x26710,x26711,x26712)+P7(x2671,x2672,x2673,x2674,x2675,x2676,x2677,x2678)+~P7(x2679,x26710,x26711,x26712,x2675,x2676,x2677,x2678)
% 98.67/98.72  [199]~P4(x1992,x1991,x1994,x1991)+~P5(x1992,x1994,x1991,x1993)+P9(x1991,x1992,x1992,x1993)+~P4(x1992,x1993,x1994,x1993)
% 98.67/98.72  [166]~P1(x1661,x1662,x1663)+~P10(x1664,x1661,x1665,x1663)+P3(x1661,x1662,x1663)+~P3(x1664,x1662,x1665)
% 98.67/98.72  [179]~P10(x1794,x1793,x1795,x1792)+~P10(x1794,x1792,x1795,x1793)+P3(x1791,x1792,x1793)+~P3(x1791,x1794,x1795)
% 98.67/98.72  [200]~P4(x2005,x2001,x2005,x2003)+~P4(x2005,x2001,x2005,x2002)+P5(x2001,x2002,x2003,x2004)+~P4(x2005,x2001,x2005,x2004)
% 98.67/98.72  [232]~P1(x2321,x2324,x2325)+~P1(x2321,x2322,x2323)+~P10(x2322,x2324,x2323,x2325)+P7(x2321,x2322,x2322,x2323,x2321,x2324,x2324,x2325)
% 98.67/98.72  [243]~P1(x2431,x2432,x2433)+~P8(x2435,x2432,x2435,x2433,x2434,x2432,x2434,x2431)+P3(x2431,x2432,x2433)+~P2(x2434,x2435,x2432,x2433)
% 98.67/98.72  [190]~P9(x1903,x1901,x1903,x1905)+~P9(x1901,x1902,x1901,x1903)+~P3(x1904,x1902,x1905)+P3(f6(x1901,x1902,x1903),x1901,x1903)
% 98.67/98.72  [196]~P5(x1961,x1962,x1963,x1965)+~P10(x1961,x1962,x1963,x1965)+~P3(x1964,x1961,x1962)+P2(f9(x1961,x1962,x1963),x1961,x1962,x1963)
% 98.67/98.72  [265]~P8(x2651,x2653,x2652,x2653,x2654,x2656,x2655,x2656)+~P8(x2651,x2652,x2652,x2653,x2654,x2655,x2655,x2656)+P1(x2651,x2652,x2653)+P11(x2651,x2652,x2653,x2654,x2655,x2656)
% 98.67/98.72  [255]~P5(x2551,x2552,x2555,x2554)+~P5(x2551,x2552,x2555,x2553)+~P8(x2555,x2551,x2555,x2552,x2556,x2553,x2556,x2554)+P4(x2551,x2552,x2553,x2554)+~P5(x2551,x2552,x2555,x2556)
% 98.67/98.72  [210]~P1(x2102,x2103,x2104)+~P1(x2101,x2104,x2106)+~P1(x2101,x2103,x2105)+~P10(x2103,x2104,x2105,x2106)+P1(x2101,x2102,f13(x2103,x2104,x2105,x2106,x2101,x2102))
% 98.67/98.72  [211]~P1(x2116,x2111,x2112)+~P1(x2115,x2112,x2114)+~P1(x2115,x2111,x2113)+~P10(x2111,x2112,x2113,x2114)+P1(f13(x2111,x2112,x2113,x2114,x2115,x2116),x2113,x2114)
% 98.67/98.72  [212]~P1(x2123,x2124,x2125)+~P3(x2126,x2121,x2122)+~P10(x2121,x2123,x2125,x2126)+~P10(x2121,x2123,x2122,x2124)+P1(f30(x2121,x2122,x2123,x2124,x2125,x2126),x2126,x2125)
% 98.67/98.72  [213]~P1(x2133,x2134,x2135)+~P3(x2136,x2131,x2132)+~P10(x2131,x2133,x2135,x2136)+~P10(x2131,x2133,x2132,x2134)+P1(f30(x2131,x2132,x2133,x2134,x2135,x2136),x2131,x2134)
% 98.67/98.72  [214]~P4(x2142,x2143,x2142,x2144)+~P4(x2141,x2143,x2141,x2146)+~P2(x2141,x2143,x2144,x2145)+E(x2141,x2142)+P1(f10(x2143,x2144,x2145,x2146,x2141,x2142),x2143,x2145)
% 98.67/98.72  [215]~P4(x2152,x2153,x2152,x2154)+~P4(x2151,x2153,x2151,x2156)+~P2(x2151,x2153,x2154,x2155)+E(x2151,x2152)+P1(f11(x2153,x2154,x2155,x2156,x2151,x2152),x2154,x2156)
% 98.67/98.72  [216]~P4(x2162,x2163,x2162,x2164)+~P4(x2161,x2163,x2161,x2166)+~P2(x2161,x2163,x2164,x2165)+E(x2161,x2162)+P4(f10(x2163,x2164,x2165,x2166,x2161,x2162),x2162,x2162,x2163)
% 98.67/98.72  [217]~P4(x2172,x2173,x2172,x2174)+~P4(x2171,x2173,x2171,x2176)+~P2(x2171,x2173,x2174,x2175)+E(x2171,x2172)+P4(f11(x2173,x2174,x2175,x2176,x2171,x2172),x2172,x2172,x2173)
% 98.67/98.72  [163]~P1(x1633,x1631,x1634)+~P1(x1635,x1631,x1634)+~P3(x1636,x1635,x1633)+~P3(x1637,x1631,x1634)+P3(f24(x1631,x1632),x1631,x1632)
% 98.67/98.72  %EqnAxiom
% 98.67/98.72  [1]E(x11,x11)
% 98.67/98.72  [2]E(x22,x21)+~E(x21,x22)
% 98.67/98.72  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 98.67/98.72  [4]~E(x41,x42)+E(f24(x41,x43),f24(x42,x43))
% 98.67/98.72  [5]~E(x51,x52)+E(f24(x53,x51),f24(x53,x52))
% 98.67/98.73  [6]~E(x61,x62)+E(f3(x61,x63,x64),f3(x62,x63,x64))
% 98.67/98.73  [7]~E(x71,x72)+E(f3(x73,x71,x74),f3(x73,x72,x74))
% 98.67/98.73  [8]~E(x81,x82)+E(f3(x83,x84,x81),f3(x83,x84,x82))
% 98.67/98.73  [9]~E(x91,x92)+E(f4(x91,x93,x94),f4(x92,x93,x94))
% 98.67/98.73  [10]~E(x101,x102)+E(f4(x103,x101,x104),f4(x103,x102,x104))
% 98.67/98.73  [11]~E(x111,x112)+E(f4(x113,x114,x111),f4(x113,x114,x112))
% 98.67/98.73  [12]~E(x121,x122)+E(f5(x121,x123,x124),f5(x122,x123,x124))
% 98.67/98.73  [13]~E(x131,x132)+E(f5(x133,x131,x134),f5(x133,x132,x134))
% 98.67/98.73  [14]~E(x141,x142)+E(f5(x143,x144,x141),f5(x143,x144,x142))
% 98.67/98.73  [15]~E(x151,x152)+E(f6(x151,x153,x154),f6(x152,x153,x154))
% 98.67/98.73  [16]~E(x161,x162)+E(f6(x163,x161,x164),f6(x163,x162,x164))
% 98.67/98.73  [17]~E(x171,x172)+E(f6(x173,x174,x171),f6(x173,x174,x172))
% 98.67/98.73  [18]~E(x181,x182)+E(f7(x181,x183,x184,x185),f7(x182,x183,x184,x185))
% 98.67/98.73  [19]~E(x191,x192)+E(f7(x193,x191,x194,x195),f7(x193,x192,x194,x195))
% 98.67/98.73  [20]~E(x201,x202)+E(f7(x203,x204,x201,x205),f7(x203,x204,x202,x205))
% 98.67/98.73  [21]~E(x211,x212)+E(f7(x213,x214,x215,x211),f7(x213,x214,x215,x212))
% 98.67/98.73  [22]~E(x221,x222)+E(f28(x221,x223,x224,x225),f28(x222,x223,x224,x225))
% 98.67/98.73  [23]~E(x231,x232)+E(f28(x233,x231,x234,x235),f28(x233,x232,x234,x235))
% 98.67/98.73  [24]~E(x241,x242)+E(f28(x243,x244,x241,x245),f28(x243,x244,x242,x245))
% 98.67/98.73  [25]~E(x251,x252)+E(f28(x253,x254,x255,x251),f28(x253,x254,x255,x252))
% 98.67/98.73  [26]~E(x261,x262)+E(f23(x261,x263,x264,x265),f23(x262,x263,x264,x265))
% 98.67/98.73  [27]~E(x271,x272)+E(f23(x273,x271,x274,x275),f23(x273,x272,x274,x275))
% 98.67/98.73  [28]~E(x281,x282)+E(f23(x283,x284,x281,x285),f23(x283,x284,x282,x285))
% 98.67/98.73  [29]~E(x291,x292)+E(f23(x293,x294,x295,x291),f23(x293,x294,x295,x292))
% 98.67/98.73  [30]~E(x301,x302)+E(f26(x301,x303,x304,x305),f26(x302,x303,x304,x305))
% 98.67/98.73  [31]~E(x311,x312)+E(f26(x313,x311,x314,x315),f26(x313,x312,x314,x315))
% 98.67/98.73  [32]~E(x321,x322)+E(f26(x323,x324,x321,x325),f26(x323,x324,x322,x325))
% 98.67/98.73  [33]~E(x331,x332)+E(f26(x333,x334,x335,x331),f26(x333,x334,x335,x332))
% 98.67/98.73  [34]~E(x341,x342)+E(f8(x341,x343,x344),f8(x342,x343,x344))
% 98.67/98.73  [35]~E(x351,x352)+E(f8(x353,x351,x354),f8(x353,x352,x354))
% 98.67/98.73  [36]~E(x361,x362)+E(f8(x363,x364,x361),f8(x363,x364,x362))
% 98.67/98.73  [37]~E(x371,x372)+E(f9(x371,x373,x374),f9(x372,x373,x374))
% 98.67/98.73  [38]~E(x381,x382)+E(f9(x383,x381,x384),f9(x383,x382,x384))
% 98.67/98.73  [39]~E(x391,x392)+E(f9(x393,x394,x391),f9(x393,x394,x392))
% 98.67/98.73  [40]~E(x401,x402)+E(f25(x401,x403,x404,x405),f25(x402,x403,x404,x405))
% 98.67/98.73  [41]~E(x411,x412)+E(f25(x413,x411,x414,x415),f25(x413,x412,x414,x415))
% 98.67/98.73  [42]~E(x421,x422)+E(f25(x423,x424,x421,x425),f25(x423,x424,x422,x425))
% 98.67/98.73  [43]~E(x431,x432)+E(f25(x433,x434,x435,x431),f25(x433,x434,x435,x432))
% 98.67/98.73  [44]~E(x441,x442)+E(f14(x441,x443,x444,x445),f14(x442,x443,x444,x445))
% 98.67/98.73  [45]~E(x451,x452)+E(f14(x453,x451,x454,x455),f14(x453,x452,x454,x455))
% 98.67/98.73  [46]~E(x461,x462)+E(f14(x463,x464,x461,x465),f14(x463,x464,x462,x465))
% 98.67/98.73  [47]~E(x471,x472)+E(f14(x473,x474,x475,x471),f14(x473,x474,x475,x472))
% 98.67/98.73  [48]~E(x481,x482)+E(f12(x481,x483,x484,x485,x486),f12(x482,x483,x484,x485,x486))
% 98.67/98.73  [49]~E(x491,x492)+E(f12(x493,x491,x494,x495,x496),f12(x493,x492,x494,x495,x496))
% 98.67/98.73  [50]~E(x501,x502)+E(f12(x503,x504,x501,x505,x506),f12(x503,x504,x502,x505,x506))
% 98.67/98.73  [51]~E(x511,x512)+E(f12(x513,x514,x515,x511,x516),f12(x513,x514,x515,x512,x516))
% 98.67/98.73  [52]~E(x521,x522)+E(f12(x523,x524,x525,x526,x521),f12(x523,x524,x525,x526,x522))
% 98.67/98.73  [53]~E(x531,x532)+E(f11(x531,x533,x534,x535,x536,x537),f11(x532,x533,x534,x535,x536,x537))
% 98.67/98.73  [54]~E(x541,x542)+E(f11(x543,x541,x544,x545,x546,x547),f11(x543,x542,x544,x545,x546,x547))
% 98.67/98.73  [55]~E(x551,x552)+E(f11(x553,x554,x551,x555,x556,x557),f11(x553,x554,x552,x555,x556,x557))
% 98.67/98.73  [56]~E(x561,x562)+E(f11(x563,x564,x565,x561,x566,x567),f11(x563,x564,x565,x562,x566,x567))
% 98.67/98.73  [57]~E(x571,x572)+E(f11(x573,x574,x575,x576,x571,x577),f11(x573,x574,x575,x576,x572,x577))
% 98.67/98.73  [58]~E(x581,x582)+E(f11(x583,x584,x585,x586,x587,x581),f11(x583,x584,x585,x586,x587,x582))
% 98.67/98.73  [59]~E(x591,x592)+E(f29(x591,x593,x594,x595,x596),f29(x592,x593,x594,x595,x596))
% 98.67/98.73  [60]~E(x601,x602)+E(f29(x603,x601,x604,x605,x606),f29(x603,x602,x604,x605,x606))
% 98.67/98.73  [61]~E(x611,x612)+E(f29(x613,x614,x611,x615,x616),f29(x613,x614,x612,x615,x616))
% 98.67/98.73  [62]~E(x621,x622)+E(f29(x623,x624,x625,x621,x626),f29(x623,x624,x625,x622,x626))
% 98.67/98.73  [63]~E(x631,x632)+E(f29(x633,x634,x635,x636,x631),f29(x633,x634,x635,x636,x632))
% 98.67/98.73  [64]~E(x641,x642)+E(f10(x641,x643,x644,x645,x646,x647),f10(x642,x643,x644,x645,x646,x647))
% 98.67/98.73  [65]~E(x651,x652)+E(f10(x653,x651,x654,x655,x656,x657),f10(x653,x652,x654,x655,x656,x657))
% 98.67/98.73  [66]~E(x661,x662)+E(f10(x663,x664,x661,x665,x666,x667),f10(x663,x664,x662,x665,x666,x667))
% 98.67/98.73  [67]~E(x671,x672)+E(f10(x673,x674,x675,x671,x676,x677),f10(x673,x674,x675,x672,x676,x677))
% 98.67/98.73  [68]~E(x681,x682)+E(f10(x683,x684,x685,x686,x681,x687),f10(x683,x684,x685,x686,x682,x687))
% 98.67/98.73  [69]~E(x691,x692)+E(f10(x693,x694,x695,x696,x697,x691),f10(x693,x694,x695,x696,x697,x692))
% 98.67/98.73  [70]~E(x701,x702)+E(f30(x701,x703,x704,x705,x706,x707),f30(x702,x703,x704,x705,x706,x707))
% 98.67/98.73  [71]~E(x711,x712)+E(f30(x713,x711,x714,x715,x716,x717),f30(x713,x712,x714,x715,x716,x717))
% 98.67/98.73  [72]~E(x721,x722)+E(f30(x723,x724,x721,x725,x726,x727),f30(x723,x724,x722,x725,x726,x727))
% 98.67/98.73  [73]~E(x731,x732)+E(f30(x733,x734,x735,x731,x736,x737),f30(x733,x734,x735,x732,x736,x737))
% 98.67/98.73  [74]~E(x741,x742)+E(f30(x743,x744,x745,x746,x741,x747),f30(x743,x744,x745,x746,x742,x747))
% 98.67/98.73  [75]~E(x751,x752)+E(f30(x753,x754,x755,x756,x757,x751),f30(x753,x754,x755,x756,x757,x752))
% 98.67/98.73  [76]~E(x761,x762)+E(f27(x761,x763,x764,x765,x766,x767),f27(x762,x763,x764,x765,x766,x767))
% 98.67/98.73  [77]~E(x771,x772)+E(f27(x773,x771,x774,x775,x776,x777),f27(x773,x772,x774,x775,x776,x777))
% 98.67/98.73  [78]~E(x781,x782)+E(f27(x783,x784,x781,x785,x786,x787),f27(x783,x784,x782,x785,x786,x787))
% 98.67/98.73  [79]~E(x791,x792)+E(f27(x793,x794,x795,x791,x796,x797),f27(x793,x794,x795,x792,x796,x797))
% 98.67/98.73  [80]~E(x801,x802)+E(f27(x803,x804,x805,x806,x801,x807),f27(x803,x804,x805,x806,x802,x807))
% 98.67/98.73  [81]~E(x811,x812)+E(f27(x813,x814,x815,x816,x817,x811),f27(x813,x814,x815,x816,x817,x812))
% 98.67/98.73  [82]~E(x821,x822)+E(f13(x821,x823,x824,x825,x826,x827),f13(x822,x823,x824,x825,x826,x827))
% 98.67/98.73  [83]~E(x831,x832)+E(f13(x833,x831,x834,x835,x836,x837),f13(x833,x832,x834,x835,x836,x837))
% 98.67/98.73  [84]~E(x841,x842)+E(f13(x843,x844,x841,x845,x846,x847),f13(x843,x844,x842,x845,x846,x847))
% 98.67/98.73  [85]~E(x851,x852)+E(f13(x853,x854,x855,x851,x856,x857),f13(x853,x854,x855,x852,x856,x857))
% 98.67/98.73  [86]~E(x861,x862)+E(f13(x863,x864,x865,x866,x861,x867),f13(x863,x864,x865,x866,x862,x867))
% 98.67/98.73  [87]~E(x871,x872)+E(f13(x873,x874,x875,x876,x877,x871),f13(x873,x874,x875,x876,x877,x872))
% 98.67/98.73  [88]P1(x882,x883,x884)+~E(x881,x882)+~P1(x881,x883,x884)
% 98.67/98.73  [89]P1(x893,x892,x894)+~E(x891,x892)+~P1(x893,x891,x894)
% 98.67/98.73  [90]P1(x903,x904,x902)+~E(x901,x902)+~P1(x903,x904,x901)
% 98.67/98.73  [91]P7(x912,x913,x914,x915,x916,x917,x918,x919)+~E(x911,x912)+~P7(x911,x913,x914,x915,x916,x917,x918,x919)
% 98.67/98.73  [92]P7(x923,x922,x924,x925,x926,x927,x928,x929)+~E(x921,x922)+~P7(x923,x921,x924,x925,x926,x927,x928,x929)
% 98.67/98.73  [93]P7(x933,x934,x932,x935,x936,x937,x938,x939)+~E(x931,x932)+~P7(x933,x934,x931,x935,x936,x937,x938,x939)
% 98.67/98.73  [94]P7(x943,x944,x945,x942,x946,x947,x948,x949)+~E(x941,x942)+~P7(x943,x944,x945,x941,x946,x947,x948,x949)
% 98.67/98.73  [95]P7(x953,x954,x955,x956,x952,x957,x958,x959)+~E(x951,x952)+~P7(x953,x954,x955,x956,x951,x957,x958,x959)
% 98.67/98.73  [96]P7(x963,x964,x965,x966,x967,x962,x968,x969)+~E(x961,x962)+~P7(x963,x964,x965,x966,x967,x961,x968,x969)
% 98.67/98.73  [97]P7(x973,x974,x975,x976,x977,x978,x972,x979)+~E(x971,x972)+~P7(x973,x974,x975,x976,x977,x978,x971,x979)
% 98.67/98.73  [98]P7(x983,x984,x985,x986,x987,x988,x989,x982)+~E(x981,x982)+~P7(x983,x984,x985,x986,x987,x988,x989,x981)
% 98.67/98.73  [99]P5(x992,x993,x994,x995)+~E(x991,x992)+~P5(x991,x993,x994,x995)
% 98.67/98.73  [100]P5(x1003,x1002,x1004,x1005)+~E(x1001,x1002)+~P5(x1003,x1001,x1004,x1005)
% 98.67/98.73  [101]P5(x1013,x1014,x1012,x1015)+~E(x1011,x1012)+~P5(x1013,x1014,x1011,x1015)
% 98.67/98.73  [102]P5(x1023,x1024,x1025,x1022)+~E(x1021,x1022)+~P5(x1023,x1024,x1025,x1021)
% 98.67/98.73  [103]P3(x1032,x1033,x1034)+~E(x1031,x1032)+~P3(x1031,x1033,x1034)
% 98.67/98.73  [104]P3(x1043,x1042,x1044)+~E(x1041,x1042)+~P3(x1043,x1041,x1044)
% 98.67/98.73  [105]P3(x1053,x1054,x1052)+~E(x1051,x1052)+~P3(x1053,x1054,x1051)
% 98.67/98.73  [106]P10(x1062,x1063,x1064,x1065)+~E(x1061,x1062)+~P10(x1061,x1063,x1064,x1065)
% 98.67/98.73  [107]P10(x1073,x1072,x1074,x1075)+~E(x1071,x1072)+~P10(x1073,x1071,x1074,x1075)
% 98.67/98.73  [108]P10(x1083,x1084,x1082,x1085)+~E(x1081,x1082)+~P10(x1083,x1084,x1081,x1085)
% 98.67/98.73  [109]P10(x1093,x1094,x1095,x1092)+~E(x1091,x1092)+~P10(x1093,x1094,x1095,x1091)
% 98.67/98.73  [110]P11(x1102,x1103,x1104,x1105,x1106,x1107)+~E(x1101,x1102)+~P11(x1101,x1103,x1104,x1105,x1106,x1107)
% 98.67/98.73  [111]P11(x1113,x1112,x1114,x1115,x1116,x1117)+~E(x1111,x1112)+~P11(x1113,x1111,x1114,x1115,x1116,x1117)
% 98.67/98.73  [112]P11(x1123,x1124,x1122,x1125,x1126,x1127)+~E(x1121,x1122)+~P11(x1123,x1124,x1121,x1125,x1126,x1127)
% 98.67/98.73  [113]P11(x1133,x1134,x1135,x1132,x1136,x1137)+~E(x1131,x1132)+~P11(x1133,x1134,x1135,x1131,x1136,x1137)
% 98.67/98.73  [114]P11(x1143,x1144,x1145,x1146,x1142,x1147)+~E(x1141,x1142)+~P11(x1143,x1144,x1145,x1146,x1141,x1147)
% 98.67/98.73  [115]P11(x1153,x1154,x1155,x1156,x1157,x1152)+~E(x1151,x1152)+~P11(x1153,x1154,x1155,x1156,x1157,x1151)
% 98.67/98.73  [116]P9(x1162,x1163,x1164,x1165)+~E(x1161,x1162)+~P9(x1161,x1163,x1164,x1165)
% 98.67/98.73  [117]P9(x1173,x1172,x1174,x1175)+~E(x1171,x1172)+~P9(x1173,x1171,x1174,x1175)
% 98.67/98.73  [118]P9(x1183,x1184,x1182,x1185)+~E(x1181,x1182)+~P9(x1183,x1184,x1181,x1185)
% 98.67/98.73  [119]P9(x1193,x1194,x1195,x1192)+~E(x1191,x1192)+~P9(x1193,x1194,x1195,x1191)
% 98.67/98.73  [120]P8(x1202,x1203,x1204,x1205,x1206,x1207,x1208,x1209)+~E(x1201,x1202)+~P8(x1201,x1203,x1204,x1205,x1206,x1207,x1208,x1209)
% 98.67/98.73  [121]P8(x1213,x1212,x1214,x1215,x1216,x1217,x1218,x1219)+~E(x1211,x1212)+~P8(x1213,x1211,x1214,x1215,x1216,x1217,x1218,x1219)
% 98.67/98.73  [122]P8(x1223,x1224,x1222,x1225,x1226,x1227,x1228,x1229)+~E(x1221,x1222)+~P8(x1223,x1224,x1221,x1225,x1226,x1227,x1228,x1229)
% 98.67/98.73  [123]P8(x1233,x1234,x1235,x1232,x1236,x1237,x1238,x1239)+~E(x1231,x1232)+~P8(x1233,x1234,x1235,x1231,x1236,x1237,x1238,x1239)
% 98.67/98.73  [124]P8(x1243,x1244,x1245,x1246,x1242,x1247,x1248,x1249)+~E(x1241,x1242)+~P8(x1243,x1244,x1245,x1246,x1241,x1247,x1248,x1249)
% 98.67/98.73  [125]P8(x1253,x1254,x1255,x1256,x1257,x1252,x1258,x1259)+~E(x1251,x1252)+~P8(x1253,x1254,x1255,x1256,x1257,x1251,x1258,x1259)
% 98.67/98.73  [126]P8(x1263,x1264,x1265,x1266,x1267,x1268,x1262,x1269)+~E(x1261,x1262)+~P8(x1263,x1264,x1265,x1266,x1267,x1268,x1261,x1269)
% 98.67/98.73  [127]P8(x1273,x1274,x1275,x1276,x1277,x1278,x1279,x1272)+~E(x1271,x1272)+~P8(x1273,x1274,x1275,x1276,x1277,x1278,x1279,x1271)
% 98.67/98.73  [128]P2(x1282,x1283,x1284,x1285)+~E(x1281,x1282)+~P2(x1281,x1283,x1284,x1285)
% 98.67/98.73  [129]P2(x1293,x1292,x1294,x1295)+~E(x1291,x1292)+~P2(x1293,x1291,x1294,x1295)
% 98.67/98.73  [130]P2(x1303,x1304,x1302,x1305)+~E(x1301,x1302)+~P2(x1303,x1304,x1301,x1305)
% 98.67/98.73  [131]P2(x1313,x1314,x1315,x1312)+~E(x1311,x1312)+~P2(x1313,x1314,x1315,x1311)
% 98.67/98.73  [132]P4(x1322,x1323,x1324,x1325)+~E(x1321,x1322)+~P4(x1321,x1323,x1324,x1325)
% 98.67/98.73  [133]P4(x1333,x1332,x1334,x1335)+~E(x1331,x1332)+~P4(x1333,x1331,x1334,x1335)
% 98.67/98.73  [134]P4(x1343,x1344,x1342,x1345)+~E(x1341,x1342)+~P4(x1343,x1344,x1341,x1345)
% 98.67/98.73  [135]P4(x1353,x1354,x1355,x1352)+~E(x1351,x1352)+~P4(x1353,x1354,x1355,x1351)
% 98.67/98.73  [136]P6(x1362,x1363,x1364,x1365,x1366,x1367)+~E(x1361,x1362)+~P6(x1361,x1363,x1364,x1365,x1366,x1367)
% 98.67/98.73  [137]P6(x1373,x1372,x1374,x1375,x1376,x1377)+~E(x1371,x1372)+~P6(x1373,x1371,x1374,x1375,x1376,x1377)
% 98.67/98.73  [138]P6(x1383,x1384,x1382,x1385,x1386,x1387)+~E(x1381,x1382)+~P6(x1383,x1384,x1381,x1385,x1386,x1387)
% 98.67/98.73  [139]P6(x1393,x1394,x1395,x1392,x1396,x1397)+~E(x1391,x1392)+~P6(x1393,x1394,x1395,x1391,x1396,x1397)
% 98.67/98.73  [140]P6(x1403,x1404,x1405,x1406,x1402,x1407)+~E(x1401,x1402)+~P6(x1403,x1404,x1405,x1406,x1401,x1407)
% 98.67/98.73  [141]P6(x1413,x1414,x1415,x1416,x1417,x1412)+~E(x1411,x1412)+~P6(x1413,x1414,x1415,x1416,x1417,x1411)
% 98.67/98.73  
% 98.67/98.73  %-------------------------------------------
% 98.67/98.74  cnf(268,plain,
% 98.67/98.74     (~P10(a2,a15,a19,a18)),
% 98.67/98.74     inference(scs_inference,[],[154,167])).
% 98.67/98.74  cnf(270,plain,
% 98.67/98.74     (~P10(a19,a18,a15,a2)),
% 98.67/98.74     inference(scs_inference,[],[154,167,168])).
% 98.67/98.74  cnf(274,plain,
% 98.67/98.74     (~P8(a2,a15,x2741,x2742,a19,a18,x2741,x2742)),
% 98.67/98.74     inference(scs_inference,[],[154,167,168,237,256])).
% 98.67/98.74  cnf(276,plain,
% 98.67/98.74     (~P8(x2761,x2762,a19,a18,x2761,x2762,a2,a15)),
% 98.67/98.74     inference(scs_inference,[],[154,167,168,237,256,257])).
% 98.67/98.74  cnf(280,plain,
% 98.67/98.74     (~P8(a19,a18,a2,a15,x2801,x2802,x2801,x2802)),
% 98.67/98.74     inference(scs_inference,[],[154,167,168,237,256,257,258,259])).
% 98.67/98.74  cnf(282,plain,
% 98.67/98.74     (P1(a15,a15,a1)),
% 98.67/98.74     inference(scs_inference,[],[142,154,167,168,237,256,257,258,259,159])).
% 98.67/98.74  cnf(284,plain,
% 98.67/98.74     (P10(a2,a2,a15,a15)),
% 98.67/98.74     inference(scs_inference,[],[142,145,154,167,168,237,256,257,258,259,159,161])).
% 98.67/98.74  cnf(286,plain,
% 98.67/98.74     (P10(a20,a20,a15,a15)),
% 98.67/98.74     inference(scs_inference,[],[142,145,154,167,168,237,256,257,258,259,159,161,162])).
% 98.67/98.74  cnf(288,plain,
% 98.67/98.74     (P10(a1,a17,a20,a17)),
% 98.67/98.74     inference(scs_inference,[],[142,145,148,153,154,167,168,237,256,257,258,259,159,161,162,184])).
% 98.67/98.74  cnf(290,plain,
% 98.67/98.74     (~P8(a19,a18,a2,a15,a2,a2,a15,a15)),
% 98.67/98.74     inference(scs_inference,[],[142,145,148,153,154,167,168,237,256,257,258,259,159,161,162,184,244])).
% 98.67/98.74  cnf(294,plain,
% 98.67/98.74     (~P10(a18,a19,a2,a15)),
% 98.67/98.74     inference(scs_inference,[],[142,145,148,153,154,167,168,237,256,257,258,259,159,161,162,184,244,232,229])).
% 98.67/98.74  cnf(296,plain,
% 98.67/98.74     (~P9(a2,x2961,x2961,a15)+P4(a2,a20,x2961,a20)),
% 98.67/98.74     inference(scs_inference,[],[142,145,148,153,154,167,168,237,256,257,258,259,159,161,162,184,244,232,229,178])).
% 98.67/98.74  cnf(310,plain,
% 98.67/98.74     (~P10(a2,a15,a18,a19)),
% 98.67/98.74     inference(scs_inference,[],[268,168])).
% 98.67/98.74  cnf(312,plain,
% 98.67/98.74     (~P10(a15,a2,a19,a18)),
% 98.67/98.74     inference(scs_inference,[],[268,270,168,167])).
% 98.67/98.74  cnf(314,plain,
% 98.67/98.74     (~P8(a19,a18,x3141,x3142,a15,a2,x3141,x3142)),
% 98.67/98.74     inference(scs_inference,[],[268,270,168,167,237])).
% 98.67/98.74  cnf(316,plain,
% 98.67/98.74     (~P8(a19,a18,a2,a2,a2,a15,a15,a15)),
% 98.67/98.74     inference(scs_inference,[],[268,270,290,168,167,237,259])).
% 98.67/98.74  cnf(318,plain,
% 98.67/98.74     (~P8(a18,a19,a2,a15,a2,a2,a15,a15)),
% 98.67/98.74     inference(scs_inference,[],[268,270,290,168,167,237,259,258])).
% 98.67/98.74  cnf(324,plain,
% 98.67/98.74     (P10(a2,a2,a16,a16)),
% 98.67/98.74     inference(scs_inference,[],[146,268,270,290,168,167,237,259,258,256,257,161])).
% 98.67/98.74  cnf(326,plain,
% 98.67/98.74     (P1(a16,a16,a19)),
% 98.67/98.74     inference(scs_inference,[],[143,146,268,270,290,168,167,237,259,258,256,257,161,159])).
% 98.67/98.74  cnf(328,plain,
% 98.67/98.74     (~P8(a2,a15,a19,a18,a2,a2,a15,a15)),
% 98.67/98.74     inference(scs_inference,[],[143,146,268,270,284,290,168,167,237,259,258,256,257,161,159,244])).
% 98.67/98.74  cnf(330,plain,
% 98.67/98.74     (P10(a21,a21,a16,a16)),
% 98.67/98.74     inference(scs_inference,[],[143,146,268,270,284,290,168,167,237,259,258,256,257,161,159,244,162])).
% 98.67/98.74  cnf(332,plain,
% 98.67/98.74     (~P9(a19,a18,a1,a17)),
% 98.67/98.74     inference(scs_inference,[],[143,146,153,154,268,270,284,290,168,167,237,259,258,256,257,161,159,244,162,184])).
% 98.67/98.74  cnf(334,plain,
% 98.67/98.74     (P7(a19,a2,a2,a16,a19,a2,a2,a16)),
% 98.67/98.74     inference(scs_inference,[],[143,146,153,154,268,270,284,290,168,167,237,259,258,256,257,161,159,244,162,184,232])).
% 98.67/98.74  cnf(336,plain,
% 98.67/98.74     (~P9(a1,a17,a19,a18)),
% 98.67/98.74     inference(scs_inference,[],[143,146,153,154,268,270,284,290,168,167,237,259,258,256,257,161,159,244,162,184,232,169])).
% 98.67/98.74  cnf(338,plain,
% 98.67/98.74     (~P9(a19,a18,a17,a1)),
% 98.67/98.74     inference(scs_inference,[],[143,146,153,154,268,270,284,290,168,167,237,259,258,256,257,161,159,244,162,184,232,169,170])).
% 98.67/98.74  cnf(341,plain,
% 98.67/98.74     (~P9(a20,a17,a19,a18)),
% 98.67/98.74     inference(scs_inference,[],[143,146,153,154,268,270,284,288,290,168,167,237,259,258,256,257,161,159,244,162,184,232,169,170,104,186])).
% 98.67/98.74  cnf(343,plain,
% 98.67/98.74     (~P8(a19,a18,a1,a17,a2,a16,a21,a17)),
% 98.67/98.74     inference(scs_inference,[],[143,146,149,153,154,268,270,284,288,290,168,167,237,259,258,256,257,161,159,244,162,184,232,169,170,104,186,245])).
% 98.67/98.74  cnf(356,plain,
% 98.67/98.74     (~P10(a15,a2,a18,a19)),
% 98.67/98.74     inference(scs_inference,[],[312,168])).
% 98.67/98.74  cnf(358,plain,
% 98.67/98.74     (~P10(a18,a19,a15,a2)),
% 98.67/98.74     inference(scs_inference,[],[312,168,167])).
% 98.67/98.74  cnf(360,plain,
% 98.67/98.74     (~P8(a2,a15,x3601,x3602,a18,a19,x3601,x3602)),
% 98.67/98.74     inference(scs_inference,[],[310,312,168,167,237])).
% 98.67/98.74  cnf(362,plain,
% 98.67/98.74     (~P9(a17,a1,a19,a18)),
% 98.67/98.74     inference(scs_inference,[],[310,312,338,168,167,237,169])).
% 98.67/98.74  cnf(364,plain,
% 98.67/98.74     (~P8(a19,a18,a15,a2,x3641,x3642,x3641,x3642)),
% 98.67/98.74     inference(scs_inference,[],[314,310,312,338,168,167,237,169,259])).
% 98.67/98.74  cnf(366,plain,
% 98.67/98.74     (~P8(x3661,x3662,a19,a18,x3661,x3662,a15,a2)),
% 98.67/98.74     inference(scs_inference,[],[314,310,312,338,168,167,237,169,259,257])).
% 98.67/98.74  cnf(368,plain,
% 98.67/98.74     (~P8(a15,a2,x3681,x3682,a19,a18,x3681,x3682)),
% 98.67/98.74     inference(scs_inference,[],[314,310,312,338,168,167,237,169,259,257,256])).
% 98.67/98.74  cnf(370,plain,
% 98.67/98.74     (~P8(a18,a19,x3701,x3702,a15,a2,x3701,x3702)),
% 98.67/98.74     inference(scs_inference,[],[314,310,312,338,168,167,237,169,259,257,256,258])).
% 98.67/98.74  cnf(372,plain,
% 98.67/98.74     (~P9(a1,a17,a18,a19)),
% 98.67/98.74     inference(scs_inference,[],[314,310,312,336,338,168,167,237,169,259,257,256,258,170])).
% 98.67/98.74  cnf(374,plain,
% 98.67/98.74     (P10(a15,a15,a16,a16)),
% 98.67/98.74     inference(scs_inference,[],[147,314,310,312,336,338,168,167,237,169,259,257,256,258,170,161])).
% 98.67/98.74  cnf(376,plain,
% 98.67/98.74     (P1(a1,a1,a19)),
% 98.67/98.74     inference(scs_inference,[],[144,147,314,310,312,336,338,168,167,237,169,259,257,256,258,170,161,159])).
% 98.67/98.74  cnf(378,plain,
% 98.67/98.74     (~P8(a19,a18,a1,a17,a15,a16,a22,a17)),
% 98.67/98.74     inference(scs_inference,[],[144,147,150,314,310,312,332,336,338,168,167,237,169,259,257,256,258,170,161,159,245])).
% 98.67/98.74  cnf(380,plain,
% 98.67/98.74     (~P8(a19,a18,a2,a15,a20,a20,a15,a15)),
% 98.67/98.74     inference(scs_inference,[],[144,147,150,154,314,286,310,312,332,336,338,168,167,237,169,259,257,256,258,170,161,159,245,244])).
% 98.67/98.74  cnf(382,plain,
% 98.67/98.74     (P10(a22,a22,a16,a16)),
% 98.67/98.74     inference(scs_inference,[],[144,147,150,154,314,286,310,312,332,336,338,168,167,237,169,259,257,256,258,170,161,159,245,244,162])).
% 98.67/98.74  cnf(385,plain,
% 98.67/98.74     (P10(a20,a20,a16,a16)),
% 98.67/98.74     inference(scs_inference,[],[144,147,150,154,314,286,310,312,332,336,338,168,167,237,169,259,257,256,258,170,161,159,245,244,162,116,183])).
% 98.67/98.74  cnf(391,plain,
% 98.67/98.74     (~P8(a15,a2,x3911,x3912,a18,a19,x3911,x3912)),
% 98.67/98.74     inference(scs_inference,[],[356,237])).
% 98.67/98.74  cnf(393,plain,
% 98.67/98.74     (~P9(a19,a18,a20,a17)),
% 98.67/98.74     inference(scs_inference,[],[341,356,237,169])).
% 98.67/98.74  cnf(395,plain,
% 98.67/98.74     (~P9(a20,a17,a18,a19)),
% 98.67/98.74     inference(scs_inference,[],[341,356,237,169,170])).
% 98.67/98.74  cnf(397,plain,
% 98.67/98.74     (~P8(a2,a2,a15,a15,a2,a15,a19,a18)),
% 98.67/98.74     inference(scs_inference,[],[341,328,356,237,169,170,256])).
% 98.67/98.74  cnf(399,plain,
% 98.67/98.74     (~P8(x3991,x3992,a2,a15,x3991,x3992,a18,a19)),
% 98.67/98.74     inference(scs_inference,[],[341,360,328,356,237,169,170,256,257])).
% 98.67/98.74  cnf(401,plain,
% 98.67/98.74     (~P8(a15,a2,a19,a18,a2,a2,a15,a15)),
% 98.67/98.74     inference(scs_inference,[],[341,360,328,356,237,169,170,256,257,258])).
% 98.67/98.74  cnf(405,plain,
% 98.67/98.74     (P1(a1,a1,a15)),
% 98.67/98.74     inference(scs_inference,[],[282,341,360,328,356,237,169,170,256,257,258,259,159])).
% 98.67/98.74  cnf(407,plain,
% 98.67/98.74     (~P8(a19,a18,a2,a15,a2,a2,a16,a16)),
% 98.67/98.74     inference(scs_inference,[],[154,324,282,341,360,328,356,237,169,170,256,257,258,259,159,244])).
% 98.67/98.74  cnf(409,plain,
% 98.67/98.74     (~P8(a20,a17,a19,a18,a2,a15,a20,a17)),
% 98.67/98.74     inference(scs_inference,[],[148,154,324,282,341,360,328,356,237,169,170,256,257,258,259,159,244,245])).
% 98.67/98.74  cnf(423,plain,
% 98.67/98.74     (~P9(a18,a19,a20,a17)),
% 98.67/98.74     inference(scs_inference,[],[395,169])).
% 98.67/98.74  cnf(425,plain,
% 98.67/98.74     (~P9(a17,a1,a18,a19)),
% 98.67/98.74     inference(scs_inference,[],[395,362,169,170])).
% 98.67/98.74  cnf(429,plain,
% 98.67/98.74     (~P8(a18,a19,a1,a17,a2,a16,a21,a17)),
% 98.67/98.74     inference(scs_inference,[],[395,391,343,362,169,170,259,258])).
% 98.67/98.74  cnf(431,plain,
% 98.67/98.74     (~P8(a2,a16,a21,a17,a19,a18,a1,a17)),
% 98.67/98.74     inference(scs_inference,[],[395,391,343,362,169,170,259,258,256])).
% 98.67/98.74  cnf(433,plain,
% 98.67/98.74     (~P8(x4331,x4332,a15,a2,x4331,x4332,a18,a19)),
% 98.67/98.74     inference(scs_inference,[],[395,391,343,362,169,170,259,258,256,257])).
% 98.67/98.74  cnf(435,plain,
% 98.67/98.74     (~P8(a18,a19,a15,a2,a2,a2,a16,a16)),
% 98.67/98.74     inference(scs_inference,[],[358,324,395,391,343,362,169,170,259,258,256,257,244])).
% 98.67/98.74  cnf(437,plain,
% 98.67/98.74     (P1(a19,a19,a16)),
% 98.67/98.74     inference(scs_inference,[],[358,324,395,326,391,343,362,169,170,259,258,256,257,244,159])).
% 98.67/98.74  cnf(439,plain,
% 98.67/98.74     (~P8(a20,a17,a18,a19,a1,a17,a2,a15)),
% 98.67/98.74     inference(scs_inference,[],[153,358,324,395,326,391,343,362,169,170,259,258,256,257,244,159,245])).
% 98.67/98.74  cnf(445,plain,
% 98.67/98.74     (~P10(x4451,x4452,a2,a2)+P10(x4451,x4452,a16,a16)),
% 98.67/98.74     inference(scs_inference,[],[153,358,324,334,395,326,391,343,362,169,170,259,258,256,257,244,159,245,97,98,185,183])).
% 98.67/98.74  cnf(453,plain,
% 98.67/98.74     (~P9(a18,a19,a1,a17)),
% 98.67/98.74     inference(scs_inference,[],[372,169])).
% 98.67/98.74  cnf(455,plain,
% 98.67/98.74     (~P9(a19,a18,a17,a20)),
% 98.67/98.74     inference(scs_inference,[],[372,393,169,170])).
% 98.67/98.74  cnf(457,plain,
% 98.67/98.74     (~P8(a19,a18,a2,a2,a2,a15,a16,a16)),
% 98.67/98.74     inference(scs_inference,[],[407,372,393,169,170,259])).
% 98.67/98.74  cnf(459,plain,
% 98.67/98.74     (~P8(a2,a15,a19,a18,a16,a16,a2,a2)),
% 98.67/98.74     inference(scs_inference,[],[407,372,393,169,170,259,257])).
% 98.67/98.74  cnf(461,plain,
% 98.67/98.74     (~P8(a18,a19,a2,a15,a2,a2,a16,a16)),
% 98.67/98.74     inference(scs_inference,[],[407,372,393,169,170,259,257,258])).
% 98.67/98.74  cnf(463,plain,
% 98.67/98.74     (~P8(a2,a2,a16,a16,a19,a18,a2,a15)),
% 98.67/98.74     inference(scs_inference,[],[407,372,393,169,170,259,257,258,256])).
% 98.67/98.74  cnf(465,plain,
% 98.67/98.74     (~P8(a2,a15,a18,a19,a2,a2,a16,a16)),
% 98.67/98.74     inference(scs_inference,[],[310,324,407,372,393,169,170,259,257,258,256,244])).
% 98.67/98.74  cnf(467,plain,
% 98.67/98.74     (P1(a19,a19,a1)),
% 98.67/98.74     inference(scs_inference,[],[310,324,376,407,372,393,169,170,259,257,258,256,244,159])).
% 98.67/98.74  cnf(469,plain,
% 98.67/98.74     (~P8(a1,a17,a18,a19,a2,a15,a20,a17)),
% 98.67/98.74     inference(scs_inference,[],[148,310,324,376,407,372,393,169,170,259,257,258,256,244,159,245])).
% 98.67/98.74  cnf(471,plain,
% 98.67/98.74     (~P10(x4711,x4712,a2,a2)+P10(x4711,x4712,a15,a15)),
% 98.67/98.74     inference(scs_inference,[],[148,310,324,284,376,407,372,393,169,170,259,257,258,256,244,159,245,183])).
% 98.67/98.74  cnf(479,plain,
% 98.67/98.74     (~P9(a18,a19,a17,a1)),
% 98.67/98.74     inference(scs_inference,[],[425,169])).
% 98.67/98.74  cnf(481,plain,
% 98.67/98.74     (~P9(a18,a19,a17,a20)),
% 98.67/98.74     inference(scs_inference,[],[423,425,169,170])).
% 98.67/98.74  cnf(483,plain,
% 98.67/98.74     (~P8(a19,a18,a15,a16,a1,a17,a22,a17)),
% 98.67/98.74     inference(scs_inference,[],[378,423,425,169,170,259])).
% 98.67/98.74  cnf(485,plain,
% 98.67/98.74     (~P8(a15,a16,a22,a17,a19,a18,a1,a17)),
% 98.67/98.74     inference(scs_inference,[],[378,423,425,169,170,259,256])).
% 98.67/98.74  cnf(487,plain,
% 98.67/98.74     (~P8(a1,a17,a19,a18,a22,a17,a15,a16)),
% 98.67/98.74     inference(scs_inference,[],[378,423,425,169,170,259,256,257])).
% 98.67/98.74  cnf(489,plain,
% 98.67/98.74     (~P8(a18,a19,a1,a17,a15,a16,a22,a17)),
% 98.67/98.74     inference(scs_inference,[],[378,423,425,169,170,259,256,257,258])).
% 98.67/98.74  cnf(491,plain,
% 98.67/98.74     (~P8(a15,a2,a18,a19,a2,a2,a16,a16)),
% 98.67/98.74     inference(scs_inference,[],[356,324,378,423,425,169,170,259,256,257,258,244])).
% 98.67/98.74  cnf(493,plain,
% 98.67/98.74     (~P8(a18,a19,a20,a17,a1,a17,a2,a15)),
% 98.67/98.74     inference(scs_inference,[],[153,356,324,378,423,425,169,170,259,256,257,258,244,245])).
% 98.67/98.74  cnf(498,plain,
% 98.67/98.74     (~P10(x4981,x4982,a1,a17)+P10(x4981,x4982,a20,a17)),
% 98.67/98.74     inference(scs_inference,[],[142,153,356,324,288,378,423,425,169,170,259,256,257,258,244,245,88,89,109,183])).
% 98.67/98.74  cnf(507,plain,
% 98.67/98.74     (~P9(a17,a20,a19,a18)),
% 98.67/98.74     inference(scs_inference,[],[455,169])).
% 98.67/98.74  cnf(509,plain,
% 98.67/98.74     (~P9(a17,a20,a18,a19)),
% 98.67/98.74     inference(scs_inference,[],[455,169,170])).
% 98.67/98.74  cnf(515,plain,
% 98.67/98.74     (~P8(a20,a20,a15,a15,a19,a18,a2,a15)),
% 98.67/98.74     inference(scs_inference,[],[380,455,169,170,259,258,256])).
% 98.67/98.74  cnf(519,plain,
% 98.67/98.74     (~P8(a15,a2,a19,a18,a2,a2,a16,a16)),
% 98.67/98.74     inference(scs_inference,[],[312,324,380,455,169,170,259,258,256,257,244])).
% 98.67/98.74  cnf(521,plain,
% 98.67/98.74     (~P8(a18,a19,a1,a17,a1,a17,a2,a15)),
% 98.67/98.74     inference(scs_inference,[],[153,312,324,380,453,455,169,170,259,258,256,257,244,245])).
% 98.67/98.74  cnf(539,plain,
% 98.67/98.74     (~P8(a17,a20,a19,a18,a2,a15,a20,a17)),
% 98.67/98.74     inference(scs_inference,[],[409,259,257,258])).
% 98.67/98.74  cnf(541,plain,
% 98.67/98.74     (~P8(a2,a15,a20,a17,a20,a17,a19,a18)),
% 98.67/98.74     inference(scs_inference,[],[409,259,257,258,256])).
% 98.67/98.74  cnf(543,plain,
% 98.67/98.74     (~P8(a19,a18,a15,a2,a2,a2,a16,a16)),
% 98.67/98.74     inference(scs_inference,[],[270,324,409,259,257,258,256,244])).
% 98.67/98.74  cnf(545,plain,
% 98.67/98.74     (~P8(a18,a19,a17,a1,a2,a15,a20,a17)),
% 98.67/98.74     inference(scs_inference,[],[148,270,324,479,409,259,257,258,256,244,245])).
% 98.67/98.74  cnf(548,plain,
% 98.67/98.74     (~P9(a15,x5481,x5481,a16)+P4(a15,a22,x5481,a22)),
% 98.67/98.74     inference(scs_inference,[],[147,148,270,324,479,409,334,259,257,258,256,244,245,95,178])).
% 98.67/98.74  cnf(561,plain,
% 98.67/98.74     (~P8(a15,a2,a18,a19,a16,a16,a2,a2)),
% 98.67/98.74     inference(scs_inference,[],[435,259,257])).
% 98.67/98.74  cnf(563,plain,
% 98.67/98.74     (~P8(a17,a20,a18,a19,a1,a17,a2,a15)),
% 98.67/98.74     inference(scs_inference,[],[435,439,259,257,258])).
% 98.67/98.74  cnf(565,plain,
% 98.67/98.74     (~P8(a2,a2,a16,a16,a18,a19,a15,a2)),
% 98.67/98.74     inference(scs_inference,[],[435,439,259,257,258,256])).
% 98.67/98.75  cnf(567,plain,
% 98.67/98.75     (~P8(a2,a15,a19,a18,a2,a2,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[268,324,435,439,259,257,258,256,244])).
% 98.67/98.75  cnf(569,plain,
% 98.67/98.75     (~P8(a18,a19,a17,a20,a2,a15,a20,a17)),
% 98.67/98.75     inference(scs_inference,[],[148,268,324,481,435,439,259,257,258,256,244,245])).
% 98.67/98.75  cnf(583,plain,
% 98.67/98.75     (~P8(a2,a15,a2,a2,a18,a19,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[465,259])).
% 98.67/98.75  cnf(585,plain,
% 98.67/98.75     (~P8(a18,a19,a2,a15,a16,a16,a2,a2)),
% 98.67/98.75     inference(scs_inference,[],[465,259,257])).
% 98.67/98.75  cnf(589,plain,
% 98.67/98.75     (~P8(a2,a2,a16,a16,a2,a15,a18,a19)),
% 98.67/98.75     inference(scs_inference,[],[465,469,259,257,258,256])).
% 98.67/98.75  cnf(591,plain,
% 98.67/98.75     (~P8(a17,a20,a19,a18,a1,a17,a2,a15)),
% 98.67/98.75     inference(scs_inference,[],[153,507,465,469,259,257,258,256,245])).
% 98.67/98.75  cnf(593,plain,
% 98.67/98.75     (~P9(x5931,x5932,a15,a17)+P10(x5931,x5932,a15,a18)),
% 98.67/98.75     inference(scs_inference,[],[153,151,507,465,469,259,257,258,256,245,184])).
% 98.67/98.75  cnf(602,plain,
% 98.67/98.75     (~P8(a15,a2,a2,a2,a18,a19,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[491,259])).
% 98.67/98.75  cnf(604,plain,
% 98.67/98.75     (~P8(a18,a19,a15,a2,a16,a16,a2,a2)),
% 98.67/98.75     inference(scs_inference,[],[491,259,257])).
% 98.67/98.75  cnf(606,plain,
% 98.67/98.75     (~P8(a19,a18,a20,a17,a1,a17,a2,a15)),
% 98.67/98.75     inference(scs_inference,[],[491,493,259,257,258])).
% 98.67/98.75  cnf(608,plain,
% 98.67/98.75     (~P8(a2,a2,a16,a16,a15,a2,a18,a19)),
% 98.67/98.75     inference(scs_inference,[],[491,493,259,257,258,256])).
% 98.67/98.75  cnf(610,plain,
% 98.67/98.75     (~P8(a17,a20,a18,a19,a2,a15,a20,a17)),
% 98.67/98.75     inference(scs_inference,[],[148,509,491,493,259,257,258,256,245])).
% 98.67/98.75  cnf(612,plain,
% 98.67/98.75     (~P9(a2,x6121,x6121,a16)+P4(a2,a21,x6121,a21)),
% 98.67/98.75     inference(scs_inference,[],[146,148,509,491,493,259,257,258,256,245,178])).
% 98.67/98.75  cnf(623,plain,
% 98.67/98.75     (~P8(a15,a2,a2,a2,a19,a18,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[519,259])).
% 98.67/98.75  cnf(625,plain,
% 98.67/98.75     (~P8(a19,a18,a15,a2,a16,a16,a2,a2)),
% 98.67/98.75     inference(scs_inference,[],[519,259,257])).
% 98.67/98.75  cnf(627,plain,
% 98.67/98.75     (~P8(a19,a18,a1,a17,a1,a17,a2,a15)),
% 98.67/98.75     inference(scs_inference,[],[519,521,259,257,258])).
% 98.67/98.75  cnf(631,plain,
% 98.67/98.75     (~P8(a19,a18,a17,a1,a1,a17,a2,a15)),
% 98.67/98.75     inference(scs_inference,[],[153,338,519,521,259,257,258,256,245])).
% 98.67/98.75  cnf(635,plain,
% 98.67/98.75     (~P9(x6351,x6352,a16,a17)+P10(x6351,x6352,a16,a18)),
% 98.67/98.75     inference(scs_inference,[],[153,144,152,324,338,519,521,259,257,258,256,245,89,108,184])).
% 98.67/98.75  cnf(645,plain,
% 98.67/98.75     (~P8(a2,a15,a2,a2,a19,a18,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[567,259])).
% 98.67/98.75  cnf(651,plain,
% 98.67/98.75     (~P8(a2,a2,a16,a16,a2,a15,a19,a18)),
% 98.67/98.75     inference(scs_inference,[],[567,545,259,257,258,256])).
% 98.67/98.75  cnf(655,plain,
% 98.67/98.75     (~P10(x6551,x6552,a21,a21)+P10(x6551,x6552,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[153,362,330,567,545,259,257,258,256,245,183])).
% 98.67/98.75  cnf(666,plain,
% 98.67/98.75     (~P8(a15,a2,a19,a18,a16,a16,a2,a2)),
% 98.67/98.75     inference(scs_inference,[],[543,259,257])).
% 98.67/98.75  cnf(670,plain,
% 98.67/98.75     (~P8(a2,a2,a16,a16,a19,a18,a15,a2)),
% 98.67/98.75     inference(scs_inference,[],[543,569,259,257,258,256])).
% 98.67/98.75  cnf(672,plain,
% 98.67/98.75     (~P8(a17,a1,a18,a19,a1,a17,a2,a15)),
% 98.67/98.75     inference(scs_inference,[],[153,425,543,569,259,257,258,256,245])).
% 98.67/98.75  cnf(681,plain,
% 98.67/98.75     (~P8(a19,a18,a17,a20,a2,a15,a1,a17)),
% 98.67/98.75     inference(scs_inference,[],[591,259,257])).
% 98.67/98.75  cnf(683,plain,
% 98.67/98.75     (~P8(a20,a17,a19,a18,a1,a17,a2,a15)),
% 98.67/98.75     inference(scs_inference,[],[591,259,257,258])).
% 98.67/98.75  cnf(685,plain,
% 98.67/98.75     (~P8(a1,a17,a2,a15,a17,a20,a19,a18)),
% 98.67/98.75     inference(scs_inference,[],[591,259,257,258,256])).
% 98.67/98.75  cnf(687,plain,
% 98.67/98.75     (~P8(a19,a18,a17,a20,a1,a17,a2,a15)),
% 98.67/98.75     inference(scs_inference,[],[153,455,591,259,257,258,256,245])).
% 98.67/98.75  cnf(699,plain,
% 98.67/98.75     (~P8(a18,a19,a17,a20,a20,a17,a2,a15)),
% 98.67/98.75     inference(scs_inference,[],[610,259,257])).
% 98.67/98.75  cnf(701,plain,
% 98.67/98.75     (~P8(a20,a17,a18,a19,a2,a15,a20,a17)),
% 98.67/98.75     inference(scs_inference,[],[610,259,257,258])).
% 98.67/98.75  cnf(705,plain,
% 98.67/98.75     (~P8(a18,a19,a17,a1,a1,a17,a2,a15)),
% 98.67/98.75     inference(scs_inference,[],[153,479,610,259,257,258,256,245])).
% 98.67/98.75  cnf(707,plain,
% 98.67/98.75     (~P9(x7071,x7072,a2,a16)+P10(x7071,x7072,a21,a17)),
% 98.67/98.75     inference(scs_inference,[],[153,149,479,610,259,257,258,256,245,184])).
% 98.67/98.75  cnf(711,plain,
% 98.67/98.75     (~P9(a2,a2,a16,a2)+P10(a2,a2,a21,a17)),
% 98.67/98.75     inference(scs_inference,[],[153,149,324,479,610,259,257,258,256,245,184,186,170])).
% 98.67/98.75  cnf(718,plain,
% 98.67/98.75     (~P8(a19,a18,a1,a17,a17,a1,a2,a15)),
% 98.67/98.75     inference(scs_inference,[],[631,259])).
% 98.67/98.75  cnf(726,plain,
% 98.67/98.75     (~P8(a18,a19,a17,a20,a1,a17,a2,a15)),
% 98.67/98.75     inference(scs_inference,[],[153,481,631,672,259,257,258,256,245])).
% 98.67/98.75  cnf(734,plain,
% 98.67/98.75     (~P8(a18,a19,a1,a17,a17,a1,a2,a15)),
% 98.67/98.75     inference(scs_inference,[],[705,259])).
% 98.67/98.75  cnf(738,plain,
% 98.67/98.75     (~P8(a18,a19,a2,a15,x7381,x7382,x7381,x7382)),
% 98.67/98.75     inference(scs_inference,[],[705,280,259,257,258])).
% 98.67/98.75  cnf(740,plain,
% 98.67/98.75     (~P8(a1,a17,a2,a15,a18,a19,a17,a1)),
% 98.67/98.75     inference(scs_inference,[],[705,280,259,257,258,256])).
% 98.67/98.75  cnf(751,plain,
% 98.67/98.75     (~P8(a18,a19,a15,a2,x7511,x7512,x7511,x7512)),
% 98.67/98.75     inference(scs_inference,[],[687,364,259,257,258])).
% 98.67/98.75  cnf(753,plain,
% 98.67/98.75     (~P8(a1,a17,a2,a15,a19,a18,a17,a20)),
% 98.67/98.75     inference(scs_inference,[],[687,364,259,257,258,256])).
% 98.67/98.75  cnf(762,plain,
% 98.67/98.75     (~P8(a18,a19,a1,a17,a17,a20,a2,a15)),
% 98.67/98.75     inference(scs_inference,[],[726,259])).
% 98.67/98.75  cnf(764,plain,
% 98.67/98.75     (~P8(a17,a20,a18,a19,a2,a15,a1,a17)),
% 98.67/98.75     inference(scs_inference,[],[726,259,257])).
% 98.67/98.75  cnf(766,plain,
% 98.67/98.75     (~P8(x7661,x7662,a19,a18,x7662,x7661,a2,a15)),
% 98.67/98.75     inference(scs_inference,[],[726,276,259,257,258])).
% 98.67/98.75  cnf(768,plain,
% 98.67/98.75     (~P8(a1,a17,a2,a15,a18,a19,a17,a20)),
% 98.67/98.75     inference(scs_inference,[],[726,276,259,257,258,256])).
% 98.67/98.75  cnf(770,plain,
% 98.67/98.75     (~P11(a2,a19,a18,a19,a2,a15)),
% 98.67/98.75     inference(scs_inference,[],[726,276,259,257,258,256,235])).
% 98.67/98.75  cnf(772,plain,
% 98.67/98.75     (~P9(a16,a16,x7721,x7722)+P9(a2,a2,x7721,x7722)),
% 98.67/98.75     inference(scs_inference,[],[324,726,276,259,257,258,256,235,186])).
% 98.67/98.75  cnf(788,plain,
% 98.67/98.75     (~P11(a19,a2,a15,a2,a19,a18)),
% 98.67/98.75     inference(scs_inference,[],[770,218])).
% 98.67/98.75  cnf(790,plain,
% 98.67/98.75     (~P11(a19,a2,a18,a2,a19,a15)),
% 98.67/98.75     inference(scs_inference,[],[770,218,219])).
% 98.67/98.75  cnf(792,plain,
% 98.67/98.75     (~P11(a2,a18,a19,a19,a15,a2)),
% 98.67/98.75     inference(scs_inference,[],[770,218,219,220])).
% 98.67/98.75  cnf(798,plain,
% 98.67/98.75     (~P8(x7981,x7982,a19,a18,x7982,x7981,a15,a2)),
% 98.67/98.75     inference(scs_inference,[],[439,366,770,218,219,220,259,257,258])).
% 98.67/98.75  cnf(802,plain,
% 98.67/98.75     (~P11(a15,a19,a18,a19,a15,a2)),
% 98.67/98.75     inference(scs_inference,[],[439,366,770,218,219,220,259,257,258,256,235])).
% 98.67/98.75  cnf(809,plain,
% 98.67/98.75     (~P11(a2,a19,a15,a19,a2,a18)),
% 98.67/98.75     inference(scs_inference,[],[790,218])).
% 98.67/98.75  cnf(811,plain,
% 98.67/98.75     (~P11(a18,a2,a19,a15,a19,a2)),
% 98.67/98.75     inference(scs_inference,[],[790,792,218,219])).
% 98.67/98.75  cnf(815,plain,
% 98.67/98.75     (~P8(a18,a19,a1,a17,a20,a17,a2,a15)),
% 98.67/98.75     inference(scs_inference,[],[493,788,790,792,218,219,220,259])).
% 98.67/98.75  cnf(817,plain,
% 98.67/98.75     (~P8(a20,a17,a18,a19,a2,a15,a1,a17)),
% 98.67/98.75     inference(scs_inference,[],[493,788,790,792,218,219,220,259,257])).
% 98.67/98.75  cnf(819,plain,
% 98.67/98.75     (~P8(x8191,x8192,a2,a15,x8192,x8191,a18,a19)),
% 98.67/98.75     inference(scs_inference,[],[493,788,790,792,399,218,219,220,259,257,258])).
% 98.67/98.75  cnf(823,plain,
% 98.67/98.75     (~P11(a18,a2,a15,a2,a18,a19)),
% 98.67/98.75     inference(scs_inference,[],[493,788,790,792,399,218,219,220,259,257,258,256,235])).
% 98.67/98.75  cnf(838,plain,
% 98.67/98.75     (~P11(a19,a15,a2,a15,a19,a18)),
% 98.67/98.75     inference(scs_inference,[],[802,218])).
% 98.67/98.75  cnf(840,plain,
% 98.67/98.75     (~P11(a19,a15,a18,a15,a19,a2)),
% 98.67/98.75     inference(scs_inference,[],[802,218,219])).
% 98.67/98.75  cnf(842,plain,
% 98.67/98.75     (~P11(a15,a18,a19,a19,a2,a15)),
% 98.67/98.75     inference(scs_inference,[],[802,218,219,220])).
% 98.67/98.75  cnf(846,plain,
% 98.67/98.75     (~P8(a1,a17,a18,a19,a2,a15,a1,a17)),
% 98.67/98.75     inference(scs_inference,[],[521,672,802,218,219,220,259,257])).
% 98.67/98.75  cnf(848,plain,
% 98.67/98.75     (~P8(x8481,x8482,a15,a2,x8482,x8481,a18,a19)),
% 98.67/98.75     inference(scs_inference,[],[521,672,802,433,218,219,220,259,257,258])).
% 98.67/98.75  cnf(850,plain,
% 98.67/98.75     (~P8(a1,a17,a2,a15,a18,a19,a1,a17)),
% 98.67/98.75     inference(scs_inference,[],[521,672,802,433,218,219,220,259,257,258,256])).
% 98.67/98.75  cnf(852,plain,
% 98.67/98.75     (~P11(a18,a15,a2,a15,a18,a19)),
% 98.67/98.75     inference(scs_inference,[],[521,672,802,433,218,219,220,259,257,258,256,235])).
% 98.67/98.75  cnf(854,plain,
% 98.67/98.75     (~P9(x8541,x8542,a15,a16)+P10(x8541,x8542,a22,a17)),
% 98.67/98.75     inference(scs_inference,[],[150,521,672,802,433,218,219,220,259,257,258,256,235,184])).
% 98.67/98.75  cnf(864,plain,
% 98.67/98.75     (~P11(a2,a18,a19,a18,a2,a15)),
% 98.67/98.75     inference(scs_inference,[],[823,218])).
% 98.67/98.75  cnf(866,plain,
% 98.67/98.75     (~P11(a2,a18,a15,a18,a2,a19)),
% 98.67/98.75     inference(scs_inference,[],[823,218,219])).
% 98.67/98.75  cnf(868,plain,
% 98.67/98.75     (~P11(a18,a15,a2,a2,a19,a18)),
% 98.67/98.75     inference(scs_inference,[],[823,218,219,220])).
% 98.67/98.75  cnf(872,plain,
% 98.67/98.75     (~P8(a17,a1,a18,a19,a20,a17,a2,a15)),
% 98.67/98.75     inference(scs_inference,[],[545,823,218,219,220,259,257])).
% 98.67/98.75  cnf(876,plain,
% 98.67/98.75     (~P8(a2,a15,a20,a17,a1,a17,a18,a19)),
% 98.67/98.75     inference(scs_inference,[],[469,545,823,316,218,219,220,259,257,258,256])).
% 98.67/98.75  cnf(883,plain,
% 98.67/98.75     (~P11(a15,a18,a19,a18,a15,a2)),
% 98.67/98.75     inference(scs_inference,[],[852,218])).
% 98.67/98.75  cnf(885,plain,
% 98.67/98.75     (~P11(a15,a18,a2,a18,a15,a19)),
% 98.67/98.75     inference(scs_inference,[],[852,218,219])).
% 98.67/98.75  cnf(887,plain,
% 98.67/98.75     (~P11(a18,a2,a15,a15,a19,a18)),
% 98.67/98.75     inference(scs_inference,[],[852,218,219,220])).
% 98.67/98.75  cnf(901,plain,
% 98.67/98.75     (~P10(x9011,x9012,a22,a22)+P10(x9011,x9012,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[153,148,405,382,569,852,815,218,219,220,259,257,258,256,88,107,116,118,183])).
% 98.67/98.75  cnf(909,plain,
% 98.67/98.75     (~P11(a15,a19,a2,a18,a2,a19)),
% 98.67/98.75     inference(scs_inference,[],[811,218])).
% 98.67/98.75  cnf(911,plain,
% 98.67/98.75     (~P11(a15,a19,a2,a19,a15,a18)),
% 98.67/98.75     inference(scs_inference,[],[811,838,218,219])).
% 98.67/98.75  cnf(913,plain,
% 98.67/98.75     (~P11(a2,a15,a19,a19,a18,a2)),
% 98.67/98.75     inference(scs_inference,[],[809,811,838,218,219,220])).
% 98.67/98.75  cnf(927,plain,
% 98.67/98.75     (~P11(a19,a2,a15,a15,a18,a19)),
% 98.67/98.75     inference(scs_inference,[],[842,218])).
% 98.67/98.75  cnf(931,plain,
% 98.67/98.75     (~P11(a15,a2,a19,a18,a19,a2)),
% 98.67/98.75     inference(scs_inference,[],[909,842,218,219,220])).
% 98.67/98.75  cnf(935,plain,
% 98.67/98.75     (~P8(a1,a17,a19,a18,a21,a17,a2,a16)),
% 98.67/98.75     inference(scs_inference,[],[343,909,842,218,219,220,259,257])).
% 98.67/98.75  cnf(937,plain,
% 98.67/98.75     (~P8(a16,a2,a21,a17,a19,a18,a1,a17)),
% 98.67/98.75     inference(scs_inference,[],[343,431,909,842,218,219,220,259,257,258])).
% 98.67/98.75  cnf(956,plain,
% 98.67/98.75     (~P11(a18,a2,a19,a2,a18,a15)),
% 98.67/98.75     inference(scs_inference,[],[866,218])).
% 98.67/98.75  cnf(958,plain,
% 98.67/98.75     (~P11(a15,a18,a2,a19,a2,a18)),
% 98.67/98.75     inference(scs_inference,[],[866,868,218,219])).
% 98.67/98.75  cnf(960,plain,
% 98.67/98.75     (~P11(a15,a2,a19,a19,a18,a15)),
% 98.67/98.75     inference(scs_inference,[],[911,866,868,218,219,220])).
% 98.67/98.75  cnf(964,plain,
% 98.67/98.75     (~P8(a19,a18,a2,a15,a15,a15,a2,a2)),
% 98.67/98.75     inference(scs_inference,[],[328,274,911,866,868,218,219,220,259,257])).
% 98.67/98.75  cnf(976,plain,
% 98.67/98.75     (~P11(a18,a15,a19,a15,a18,a2)),
% 98.67/98.75     inference(scs_inference,[],[885,218])).
% 98.67/98.75  cnf(978,plain,
% 98.67/98.75     (~P11(a2,a18,a15,a19,a15,a18)),
% 98.67/98.75     inference(scs_inference,[],[885,887,218,219])).
% 98.67/98.75  cnf(980,plain,
% 98.67/98.75     (~P11(a19,a18,a15,a15,a2,a19)),
% 98.67/98.75     inference(scs_inference,[],[840,885,887,218,219,220])).
% 98.67/98.75  cnf(999,plain,
% 98.67/98.75     (~P11(a18,a19,a2,a2,a15,a18)),
% 98.67/98.75     inference(scs_inference,[],[956,913,927,219,218,220])).
% 98.67/98.75  cnf(1001,plain,
% 98.67/98.75     (~P8(x10011,x10012,x10012,x10011,a19,a18,a15,a2)),
% 98.67/98.75     inference(scs_inference,[],[798,956,913,927,219,218,220,259])).
% 98.67/98.75  cnf(1005,plain,
% 98.67/98.75     (~P8(a17,a1,a2,a15,a18,a19,a17,a1)),
% 98.67/98.75     inference(scs_inference,[],[274,798,740,956,913,927,219,218,220,259,257,258])).
% 98.67/98.75  cnf(1027,plain,
% 98.67/98.75     (~P8(a17,a1,a2,a15,a19,a18,a17,a20)),
% 98.67/98.75     inference(scs_inference,[],[819,753,864,931,960,218,219,220,259,258])).
% 98.67/98.75  cnf(1031,plain,
% 98.67/98.75     (~P8(x10311,x10312,x10311,x10312,a18,a19,a2,a15)),
% 98.67/98.75     inference(scs_inference,[],[370,738,819,753,864,931,960,218,219,220,259,258,257,256])).
% 98.67/98.75  cnf(1033,plain,
% 98.67/98.75     (~P9(a15,a15,x10331,x10332)+P9(a2,a2,x10331,x10332)),
% 98.67/98.75     inference(scs_inference,[],[284,370,738,819,753,864,931,960,218,219,220,259,258,257,256,186])).
% 98.67/98.75  cnf(1047,plain,
% 98.67/98.75     (~P11(a18,a19,a15,a15,a2,a18)),
% 98.67/98.75     inference(scs_inference,[],[976,958,980,219,218,220])).
% 98.67/98.75  cnf(1055,plain,
% 98.67/98.75     (~P8(x10551,x10552,x10551,x10552,a18,a19,a15,a2)),
% 98.67/98.75     inference(scs_inference,[],[368,751,848,768,976,958,980,219,218,220,259,257,258,256])).
% 98.67/98.75  cnf(1065,plain,
% 98.67/98.75     (~P11(a19,a18,a2,a15,a2,a18)),
% 98.67/98.75     inference(scs_inference,[],[978,999,218,219])).
% 98.67/98.75  cnf(1069,plain,
% 98.67/98.75     (~P8(a18,a19,a2,a2,a2,a15,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[461,883,978,999,218,219,220,259])).
% 98.67/98.75  cnf(1073,plain,
% 98.67/98.75     (~P8(a19,a18,x10731,x10732,a2,a15,x10732,x10731)),
% 98.67/98.75     inference(scs_inference,[],[766,1031,461,883,978,999,218,219,220,259,258,257])).
% 98.67/98.75  cnf(1075,plain,
% 98.67/98.75     (~P8(x10751,x10752,a2,a15,x10752,x10751,a19,a18)),
% 98.67/98.75     inference(scs_inference,[],[766,1031,461,883,978,999,218,219,220,259,258,257,256])).
% 98.67/98.75  cnf(1094,plain,
% 98.67/98.75     (~P8(a19,a18,x10941,x10942,a15,a2,x10942,x10941)),
% 98.67/98.75     inference(scs_inference,[],[798,563,1047,866,218,220,259,257])).
% 98.67/98.75  cnf(1098,plain,
% 98.67/98.75     (~P8(x10981,x10982,a15,a2,x10982,x10981,a19,a18)),
% 98.67/98.75     inference(scs_inference,[],[798,1055,563,1047,866,218,220,259,257,258,256])).
% 98.67/98.75  cnf(1115,plain,
% 98.67/98.75     (~P8(a2,a15,x11151,x11152,a18,a19,x11152,x11151)),
% 98.67/98.75     inference(scs_inference,[],[819,1073,1065,218,259,257])).
% 98.67/98.75  cnf(1125,plain,
% 98.67/98.75     (~P10(x11251,x11252,a20,a20)+P10(x11251,x11252,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[151,374,467,385,819,1073,1065,218,259,257,258,256,90,117,89,108,183])).
% 98.67/98.75  cnf(1133,plain,
% 98.67/98.75     (~P8(x11331,x11332,x11332,x11331,a2,a15,a19,a18)),
% 98.67/98.75     inference(scs_inference,[],[1075,259])).
% 98.67/98.75  cnf(1135,plain,
% 98.67/98.75     (~P8(a15,a2,x11351,x11352,a18,a19,x11352,x11351)),
% 98.67/98.75     inference(scs_inference,[],[848,1075,259,257])).
% 98.67/98.75  cnf(1145,plain,
% 98.67/98.75     (~P9(a16,a16,x11451,x11452)+P9(a15,a15,x11451,x11452)),
% 98.67/98.75     inference(scs_inference,[],[152,507,374,382,848,1075,1094,259,257,258,256,106,185,116,186])).
% 98.67/98.75  cnf(1152,plain,
% 98.67/98.75     (~P8(a19,a18,a15,a2,x11521,x11522,x11522,x11521)),
% 98.67/98.75     inference(scs_inference,[],[1094,259])).
% 98.67/98.75  cnf(1177,plain,
% 98.67/98.75     (~P9(a16,a16,x11771,x11772)+P9(a22,a22,x11771,x11772)),
% 98.67/98.75     inference(scs_inference,[],[382,1073,1001,1115,850,259,258,257,256,186])).
% 98.67/98.75  cnf(1198,plain,
% 98.67/98.75     (~P9(a15,a15,x11981,x11982)+P9(a20,a20,x11981,x11982)),
% 98.67/98.75     inference(scs_inference,[],[147,288,282,286,1098,1135,1133,1152,259,257,258,256,108,103,88,186])).
% 98.67/98.75  cnf(1208,plain,
% 98.67/98.75     (~P8(a15,a2,a20,a17,a1,a17,a18,a19)),
% 98.67/98.75     inference(scs_inference,[],[683,876,259,258])).
% 98.67/98.75  cnf(1214,plain,
% 98.67/98.75     (~P9(a16,a16,x12141,x12142)+P9(a21,a21,x12141,x12142)),
% 98.67/98.75     inference(scs_inference,[],[330,1152,606,683,876,259,258,257,256,186])).
% 98.67/98.75  cnf(1224,plain,
% 98.67/98.75     (~P8(a15,a2,a2,a2,a19,a18,a15,a15)),
% 98.67/98.75     inference(scs_inference,[],[401,259])).
% 98.67/98.75  cnf(1226,plain,
% 98.67/98.75     (~P8(a1,a17,a19,a18,a2,a15,a1,a17)),
% 98.67/98.75     inference(scs_inference,[],[627,401,259,257])).
% 98.67/98.75  cnf(1232,plain,
% 98.67/98.75     (~P10(x12321,x12322,a20,a20)+P10(x12321,x12322,a15,a15)),
% 98.67/98.75     inference(scs_inference,[],[286,627,401,485,259,257,258,256,183])).
% 98.67/98.75  cnf(1246,plain,
% 98.67/98.75     (~P8(a18,a19,a2,a16,a1,a17,a21,a17)),
% 98.67/98.75     inference(scs_inference,[],[429,259])).
% 98.67/98.75  cnf(1250,plain,
% 98.67/98.75     (~P8(a2,a15,a18,a19,a15,a15,a2,a2)),
% 98.67/98.75     inference(scs_inference,[],[318,429,541,259,258,257])).
% 98.67/98.75  cnf(1267,plain,
% 98.67/98.75     (~P8(a1,a17,a18,a19,a22,a17,a15,a16)),
% 98.67/98.75     inference(scs_inference,[],[489,259,257])).
% 98.67/98.75  cnf(1269,plain,
% 98.67/98.75     (~P8(a17,a1,a2,a15,a17,a20,a19,a18)),
% 98.67/98.75     inference(scs_inference,[],[489,685,259,257,258])).
% 98.67/98.75  cnf(1271,plain,
% 98.67/98.75     (~P8(a15,a16,a22,a17,a18,a19,a1,a17)),
% 98.67/98.75     inference(scs_inference,[],[489,685,259,257,258,256])).
% 98.67/98.75  cnf(1273,plain,
% 98.67/98.75     (~P9(a16,a16,x12731,x12732)+P9(a20,a20,x12731,x12732)),
% 98.67/98.75     inference(scs_inference,[],[385,489,685,259,257,258,256,186])).
% 98.67/98.75  cnf(1296,plain,
% 98.67/98.75     (~P8(a17,a20,a2,a15,a19,a18,a20,a17)),
% 98.67/98.75     inference(scs_inference,[],[539,259])).
% 98.67/98.75  cnf(1329,plain,
% 98.67/98.75     (~P8(a2,a15,a20,a17,a20,a17,a18,a19)),
% 98.67/98.75     inference(scs_inference,[],[701,561,259,257,258,256])).
% 98.67/98.75  cnf(1335,plain,
% 98.67/98.75     (~P8(a2,a2,a2,a15,a15,a15,a19,a18)),
% 98.67/98.75     inference(scs_inference,[],[397,259])).
% 98.67/98.75  cnf(1351,plain,
% 98.67/98.75     (~P8(a2,a2,a18,a19,a16,a16,a15,a2)),
% 98.67/98.75     inference(scs_inference,[],[565,259])).
% 98.67/98.75  cnf(1353,plain,
% 98.67/98.75     (~P8(a16,a16,a2,a2,a15,a2,a18,a19)),
% 98.67/98.75     inference(scs_inference,[],[565,259,257])).
% 98.67/98.75  cnf(1363,plain,
% 98.67/98.75     (~P8(a18,a19,a16,a16,a2,a15,a2,a2)),
% 98.67/98.75     inference(scs_inference,[],[585,259])).
% 98.67/98.75  cnf(1367,plain,
% 98.67/98.75     (~P8(a2,a2,a2,a15,a16,a16,a18,a19)),
% 98.67/98.75     inference(scs_inference,[],[583,585,487,259,258,257])).
% 98.67/98.75  cnf(1385,plain,
% 98.67/98.75     (~P8(a2,a2,a15,a2,a16,a16,a18,a19)),
% 98.67/98.75     inference(scs_inference,[],[602,604,259,257])).
% 98.67/98.75  cnf(1400,plain,
% 98.67/98.75     (~P8(a2,a2,a15,a2,a16,a16,a19,a18)),
% 98.67/98.75     inference(scs_inference,[],[623,625,681,259,258,257])).
% 98.67/98.75  cnf(1409,plain,
% 98.67/98.75     (~P8(a2,a15,a16,a16,a19,a18,a2,a2)),
% 98.67/98.75     inference(scs_inference,[],[459,259])).
% 98.67/98.75  cnf(1411,plain,
% 98.67/98.75     (~P8(a2,a2,a2,a15,a16,a16,a19,a18)),
% 98.67/98.75     inference(scs_inference,[],[645,459,259,257])).
% 98.67/98.75  cnf(1426,plain,
% 98.67/98.75     (~P8(a1,a17,a19,a18,a2,a15,a17,a1)),
% 98.67/98.75     inference(scs_inference,[],[718,764,872,259,258,257])).
% 98.67/98.75  cnf(1428,plain,
% 98.67/98.75     (~P8(a17,a1,a2,a15,a19,a18,a1,a17)),
% 98.67/98.75     inference(scs_inference,[],[718,764,872,259,258,257,256])).
% 98.67/98.75  cnf(1448,plain,
% 98.67/98.75     (~P8(a2,a15,a1,a17,a1,a17,a18,a19)),
% 98.67/98.75     inference(scs_inference,[],[734,846,817,935,259,257,258,256])).
% 98.67/98.75  cnf(1458,plain,
% 98.67/98.75     (~P8(a1,a17,a18,a19,a2,a15,a17,a20)),
% 98.67/98.75     inference(scs_inference,[],[762,670,964,259,258,257])).
% 98.67/98.75  cnf(1486,plain,
% 98.67/98.75     (~P8(a16,a16,a2,a2,a19,a18,a2,a15)),
% 98.67/98.75     inference(scs_inference,[],[651,463,1250,259,258,257])).
% 98.67/98.75  cnf(1491,plain,
% 98.67/98.75     (P1(a16,a1,a19)),
% 98.67/98.75     inference(scs_inference,[],[437,467,666,651,463,1250,259,258,257,256,88,159])).
% 98.67/98.75  cnf(1506,plain,
% 98.67/98.75     (P7(x15061,a15,a15,a16,x15061,a15,a15,a16)+~P1(x15061,a15,a16)),
% 98.67/98.75     inference(scs_inference,[],[374,437,1491,483,515,1267,259,257,258,256,90,89,88,232])).
% 98.67/98.75  cnf(1508,plain,
% 98.67/98.75     (~P3(x15081,a1,a20)+P3(x15081,a17,a17)),
% 98.67/98.75     inference(scs_inference,[],[374,288,437,1491,483,515,1267,259,257,258,256,90,89,88,232,179])).
% 98.67/98.75  cnf(1516,plain,
% 98.67/98.75     (~P8(a16,a15,a22,a17,a18,a19,a1,a17)),
% 98.67/98.75     inference(scs_inference,[],[699,1271,259,258])).
% 98.67/98.75  cnf(1589,plain,
% 98.67/98.75     (P7(x15891,a22,a22,a16,x15891,a22,a22,a16)+~P1(x15891,a22,a16)),
% 98.67/98.75     inference(scs_inference,[],[382,1069,1486,1329,259,257,258,256,232])).
% 98.67/98.75  cnf(1600,plain,
% 98.67/98.75     (P7(x16001,a20,a20,a16,x16001,a20,a20,a16)+~P1(x16001,a20,a16)),
% 98.67/98.75     inference(scs_inference,[],[385,1296,1226,937,1426,259,258,257,256,232])).
% 98.67/98.75  cnf(1611,plain,
% 98.67/98.75     (P7(x16111,a21,a21,a16,x16111,a21,a21,a16)+~P1(x16111,a21,a16)),
% 98.67/98.75     inference(scs_inference,[],[330,1409,1224,1005,1448,259,257,258,256,232])).
% 98.67/98.75  cnf(1620,plain,
% 98.67/98.75     (~P8(a1,a17,a21,a17,a18,a19,a2,a16)),
% 98.67/98.75     inference(scs_inference,[],[1246,1027,1458,259,258,257,256])).
% 98.67/98.75  cnf(1622,plain,
% 98.67/98.75     (P7(x16221,a20,a20,a15,x16221,a20,a20,a15)+~P1(x16221,a20,a15)),
% 98.67/98.75     inference(scs_inference,[],[286,1246,1027,1458,259,258,257,256,232])).
% 98.67/98.75  cnf(1625,plain,
% 98.67/98.75     (~P8(a15,a2,a1,a17,a20,a17,a18,a19)),
% 98.67/98.75     inference(scs_inference,[],[1208,259])).
% 98.67/98.75  cnf(1643,plain,
% 98.67/98.75     (~P8(a2,a15,a17,a1,a1,a17,a19,a18)),
% 98.67/98.75     inference(scs_inference,[],[1428,257])).
% 98.67/98.75  cnf(1652,plain,
% 98.67/98.75     (~P8(a17,a1,a17,a20,a2,a15,a19,a18)),
% 98.67/98.75     inference(scs_inference,[],[1269,259])).
% 98.67/98.75  cnf(1760,plain,
% 98.67/98.75     (~P8(a18,a19,a1,a17,a15,a17,a15,a18)),
% 98.67/98.75     inference(scs_inference,[],[151,453,1652,1516,1620,259,258,257,256,245])).
% 98.67/98.75  cnf(1763,plain,
% 98.67/98.75     (~P8(a19,a18,a1,a17,a15,a17,a15,a18)),
% 98.67/98.75     inference(scs_inference,[],[1760,258])).
% 98.67/98.75  cnf(1771,plain,
% 98.67/98.75     (~P8(a18,a19,a17,a1,a15,a17,a15,a18)),
% 98.67/98.75     inference(scs_inference,[],[151,479,1760,258,259,257,256,245])).
% 98.67/98.75  cnf(1782,plain,
% 98.67/98.75     (~P8(a18,a19,a17,a20,a15,a17,a15,a18)),
% 98.67/98.75     inference(scs_inference,[],[151,481,1771,259,258,257,256,245])).
% 98.67/98.75  cnf(1789,plain,
% 98.67/98.75     (~P8(a17,a20,a18,a19,a15,a18,a15,a17)),
% 98.67/98.75     inference(scs_inference,[],[1782,258,259,257])).
% 98.67/98.75  cnf(1793,plain,
% 98.67/98.75     (~P8(a19,a18,a20,a17,a15,a17,a15,a18)),
% 98.67/98.75     inference(scs_inference,[],[151,393,1782,258,259,257,256,245])).
% 98.67/98.75  cnf(1798,plain,
% 98.67/98.75     (~P8(a18,a19,a20,a17,a15,a17,a15,a18)),
% 98.67/98.75     inference(scs_inference,[],[1793,259,258])).
% 98.67/98.75  cnf(1804,plain,
% 98.67/98.75     (~P8(a20,a17,a18,a19,a15,a17,a15,a18)),
% 98.67/98.75     inference(scs_inference,[],[151,395,1793,259,258,257,256,245])).
% 98.67/98.75  cnf(1807,plain,
% 98.67/98.75     (~P8(a17,a20,a18,a19,a15,a17,a15,a18)),
% 98.67/98.75     inference(scs_inference,[],[1804,258])).
% 98.67/98.75  cnf(1815,plain,
% 98.67/98.75     (~P8(a17,a20,a19,a18,a15,a17,a15,a18)),
% 98.67/98.75     inference(scs_inference,[],[151,507,1804,258,259,257,256,245])).
% 98.67/98.75  cnf(1826,plain,
% 98.67/98.75     (~P8(a17,a1,a18,a19,a15,a17,a15,a18)),
% 98.67/98.75     inference(scs_inference,[],[151,425,1815,259,258,257,256,245])).
% 98.67/98.75  cnf(1831,plain,
% 98.67/98.75     (~P8(a17,a1,a15,a17,a18,a19,a15,a18)),
% 98.67/98.75     inference(scs_inference,[],[1826,258,259])).
% 98.67/98.75  cnf(1852,plain,
% 98.67/98.75     (~P8(a19,a18,a15,a17,a1,a17,a15,a18)),
% 98.67/98.75     inference(scs_inference,[],[1763,1625,258,259])).
% 98.67/98.75  cnf(1881,plain,
% 98.67/98.75     (~P8(a18,a19,a17,a20,a15,a18,a15,a17)),
% 98.67/98.75     inference(scs_inference,[],[1798,1807,1789,259,258,257])).
% 98.67/98.75  cnf(1987,plain,
% 98.67/98.75     (~P11(a17,a15,a1,a18,a15,a19)),
% 98.67/98.75     inference(scs_inference,[],[1831,1852,1881,1643,259,257,258,256,235,219])).
% 98.67/98.75  cnf(1989,plain,
% 98.67/98.75     (~P11(a15,a18,a19,a15,a17,a1)),
% 98.67/98.75     inference(scs_inference,[],[1831,1852,1881,1643,259,257,258,256,235,219,218])).
% 98.67/98.75  cnf(1991,plain,
% 98.67/98.75     (~P11(a15,a1,a17,a15,a19,a18)),
% 98.67/98.75     inference(scs_inference,[],[1831,1852,1881,1643,259,257,258,256,235,219,218,220])).
% 98.67/98.75  cnf(1996,plain,
% 98.67/98.75     (~P11(a1,a15,a17,a19,a15,a18)),
% 98.67/98.75     inference(scs_inference,[],[1987,1991,218,219])).
% 98.67/98.75  cnf(1998,plain,
% 98.67/98.75     (~P11(a17,a1,a15,a18,a19,a15)),
% 98.67/98.75     inference(scs_inference,[],[1987,1991,218,219,220])).
% 98.67/98.75  cnf(2013,plain,
% 98.67/98.75     (~P11(a1,a17,a15,a19,a18,a15)),
% 98.67/98.75     inference(scs_inference,[],[1989,1996,1998,218,220,219])).
% 98.67/98.75  cnf(2024,plain,
% 98.67/98.75     (~P11(a19,a18,a15,a1,a17,a15)),
% 98.67/98.75     inference(scs_inference,[],[2013,218])).
% 98.67/98.75  cnf(4404,plain,
% 98.67/98.75     (P1(a2,a1,a15)),
% 98.67/98.75     inference(scs_inference,[],[142,155])).
% 98.67/98.75  cnf(4406,plain,
% 98.67/98.75     (P1(a1,a15,a2)),
% 98.67/98.75     inference(scs_inference,[],[142,155,156])).
% 98.67/98.75  cnf(4408,plain,
% 98.67/98.75     (P1(a21,a2,a16)),
% 98.67/98.75     inference(scs_inference,[],[142,146,155,156,157])).
% 98.67/98.75  cnf(4410,plain,
% 98.67/98.75     (P4(a21,a2,a21,a16)),
% 98.67/98.75     inference(scs_inference,[],[142,146,155,156,157,160])).
% 98.67/98.75  cnf(4412,plain,
% 98.67/98.75     (P8(a21,a2,a2,a16,a2,a16,a21,a16)),
% 98.67/98.75     inference(scs_inference,[],[142,146,155,156,157,160,230])).
% 98.67/98.75  cnf(4414,plain,
% 98.67/98.75     (P7(a2,a16,a19,a2,a2,a16,a19,a2)),
% 98.67/98.75     inference(scs_inference,[],[142,146,334,155,156,157,160,230,261])).
% 98.67/98.75  cnf(4416,plain,
% 98.67/98.75     (P7(a2,a19,a2,a16,a19,a2,a2,a16)),
% 98.67/98.75     inference(scs_inference,[],[142,146,334,155,156,157,160,230,261,262])).
% 98.67/98.75  cnf(4418,plain,
% 98.67/98.75     (P7(a19,a2,a19,a2,a2,a16,a2,a16)),
% 98.67/98.75     inference(scs_inference,[],[142,146,334,155,156,157,160,230,261,262,263])).
% 98.67/98.75  cnf(4420,plain,
% 98.67/98.75     (P8(a21,a21,x44201,x44202,a16,a16,x44201,x44202)),
% 98.67/98.75     inference(scs_inference,[],[142,330,146,334,155,156,157,160,230,261,262,263,229])).
% 98.67/98.75  cnf(4422,plain,
% 98.67/98.75     (P10(a1,a17,a17,a20)),
% 98.67/98.75     inference(scs_inference,[],[142,330,146,334,288,155,156,157,160,230,261,262,263,229,168])).
% 98.67/98.75  cnf(4424,plain,
% 98.67/98.75     (P4(a21,a16,a21,a2)),
% 98.67/98.75     inference(scs_inference,[],[142,330,146,334,288,155,156,157,160,230,261,262,263,229,168,171])).
% 98.67/98.75  cnf(4426,plain,
% 98.67/98.75     (P9(a22,a17,a15,a16)),
% 98.67/98.75     inference(scs_inference,[],[142,330,146,150,334,288,155,156,157,160,230,261,262,263,229,168,171,169])).
% 98.67/98.75  cnf(4428,plain,
% 98.67/98.75     (P10(a16,a16,a21,a21)),
% 98.67/98.75     inference(scs_inference,[],[142,330,146,150,334,288,155,156,157,160,230,261,262,263,229,168,171,169,167])).
% 98.67/98.75  cnf(4430,plain,
% 98.67/98.75     (P3(a21,a16,a2)),
% 98.67/98.75     inference(scs_inference,[],[142,330,146,150,334,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158])).
% 98.67/98.75  cnf(4432,plain,
% 98.67/98.75     (P9(a15,a16,a17,a22)),
% 98.67/98.75     inference(scs_inference,[],[142,330,146,150,334,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170])).
% 98.67/98.75  cnf(4434,plain,
% 98.67/98.75     (P4(a21,a2,a16,a21)),
% 98.67/98.75     inference(scs_inference,[],[142,330,146,150,334,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172])).
% 98.67/98.75  cnf(4436,plain,
% 98.67/98.75     (P8(a2,a16,a21,a16,a21,a2,a2,a16)),
% 98.67/98.75     inference(scs_inference,[],[142,330,146,150,334,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256])).
% 98.67/98.75  cnf(4438,plain,
% 98.67/98.75     (P8(a21,a21,a16,a16,x44381,x44382,x44381,x44382)),
% 98.67/98.75     inference(scs_inference,[],[142,330,146,150,334,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259])).
% 98.67/98.75  cnf(4440,plain,
% 98.67/98.75     (P8(a2,a16,a21,a2,a21,a16,a2,a16)),
% 98.67/98.75     inference(scs_inference,[],[142,330,146,150,334,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257])).
% 98.67/98.75  cnf(4442,plain,
% 98.67/98.75     (P8(a2,a21,a2,a16,a2,a16,a21,a16)),
% 98.67/98.75     inference(scs_inference,[],[142,330,146,150,334,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258])).
% 98.67/98.75  cnf(4444,plain,
% 98.67/98.75     (P4(a21,a2,a21,a2)),
% 98.67/98.75     inference(scs_inference,[],[142,330,146,150,334,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187])).
% 98.67/98.75  cnf(4448,plain,
% 98.67/98.75     (P7(a21,a2,a2,a16,a21,a2,a2,a16)),
% 98.67/98.75     inference(scs_inference,[],[142,330,146,150,334,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227])).
% 98.67/98.75  cnf(4452,plain,
% 98.67/98.75     (P1(f5(a16,a16,a18),a18,a16)),
% 98.67/98.75     inference(scs_inference,[],[142,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182])).
% 98.67/98.75  cnf(4458,plain,
% 98.67/98.75     (P3(f27(a2,a16,a2,a16,a21,a21),a2,a16)),
% 98.67/98.75     inference(scs_inference,[],[142,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207])).
% 98.67/98.75  cnf(4460,plain,
% 98.67/98.75     (P10(f27(a2,a16,a2,a16,a21,a21),a21,a2,a2)),
% 98.67/98.75     inference(scs_inference,[],[142,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208])).
% 98.67/98.75  cnf(4464,plain,
% 98.67/98.75     (P8(a21,a2,a2,a16,a21,a2,a2,a16)),
% 98.67/98.75     inference(scs_inference,[],[142,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266])).
% 98.67/98.75  cnf(4466,plain,
% 98.67/98.75     (P10(a21,a21,a2,a2)),
% 98.67/98.75     inference(scs_inference,[],[142,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266,162])).
% 98.67/98.75  cnf(4468,plain,
% 98.67/98.75     (~P8(a1,a17,a19,a18,a15,a16,a22,a17)),
% 98.67/98.75     inference(scs_inference,[],[142,336,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266,162,245])).
% 98.67/98.75  cnf(4470,plain,
% 98.67/98.75     (~P8(a18,a19,a2,a15,a21,a21,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[142,294,336,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266,162,245,244])).
% 98.67/98.75  cnf(4472,plain,
% 98.67/98.75     (P9(a2,a16,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[142,294,336,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266,162,245,244,176])).
% 98.67/98.75  cnf(4474,plain,
% 98.67/98.75     (P9(a21,a21,a2,a2)),
% 98.67/98.75     inference(scs_inference,[],[142,294,336,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266,162,245,244,176,185])).
% 98.67/98.75  cnf(4476,plain,
% 98.67/98.75     (P4(a2,a21,a16,a21)),
% 98.67/98.75     inference(scs_inference,[],[142,294,336,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266,162,245,244,176,185,178])).
% 98.67/98.75  cnf(4478,plain,
% 98.67/98.75     (P9(a16,a16,a2,a2)),
% 98.67/98.75     inference(scs_inference,[],[142,294,336,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266,162,245,244,176,185,178,186])).
% 98.67/98.75  cnf(4480,plain,
% 98.67/98.75     (P10(a15,a16,a15,a16)),
% 98.67/98.75     inference(scs_inference,[],[142,294,336,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266,162,245,244,176,185,178,186,184])).
% 98.67/98.75  cnf(4484,plain,
% 98.67/98.75     (P10(a16,a16,a2,a2)),
% 98.67/98.75     inference(scs_inference,[],[142,294,336,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266,162,245,244,176,185,178,186,184,183,161])).
% 98.67/98.75  cnf(4486,plain,
% 98.67/98.75     (P5(a2,a16,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[142,294,336,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266,162,245,244,176,185,178,186,184,183,161,200])).
% 98.67/98.75  cnf(4488,plain,
% 98.67/98.75     (P1(a15,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[142,294,336,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266,162,245,244,176,185,178,186,184,183,161,200,164])).
% 98.67/98.75  cnf(4490,plain,
% 98.67/98.75     (P5(a16,a2,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[142,294,336,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266,162,245,244,176,185,178,186,184,183,161,200,164,173])).
% 98.67/98.75  cnf(4492,plain,
% 98.67/98.75     (P5(a16,a16,a2,a16)),
% 98.67/98.75     inference(scs_inference,[],[142,294,336,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266,162,245,244,176,185,178,186,184,183,161,200,164,173,174])).
% 98.67/98.75  cnf(4494,plain,
% 98.67/98.75     (P5(a16,a16,a16,a2)),
% 98.67/98.75     inference(scs_inference,[],[142,294,336,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266,162,245,244,176,185,178,186,184,183,161,200,164,173,174,175])).
% 98.67/98.75  cnf(4496,plain,
% 98.67/98.75     (P8(a16,a2,a16,a16,a16,a2,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[142,294,336,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266,162,245,244,176,185,178,186,184,183,161,200,164,173,174,175,228])).
% 98.67/98.75  cnf(4498,plain,
% 98.67/98.75     (P10(a16,a16,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[142,294,336,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266,162,245,244,176,185,178,186,184,183,161,200,164,173,174,175,228,445])).
% 98.67/98.75  cnf(4500,plain,
% 98.67/98.75     (P10(f27(a2,a16,a2,a16,a21,a21),a21,a15,a15)),
% 98.67/98.75     inference(scs_inference,[],[142,294,336,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266,162,245,244,176,185,178,186,184,183,161,200,164,173,174,175,228,445,471])).
% 98.67/98.75  cnf(4502,plain,
% 98.67/98.75     (P9(a2,a2,a2,a2)),
% 98.67/98.75     inference(scs_inference,[],[142,294,336,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266,162,245,244,176,185,178,186,184,183,161,200,164,173,174,175,228,445,471,772])).
% 98.67/98.75  cnf(4504,plain,
% 98.67/98.75     (P10(a22,a17,a22,a17)),
% 98.67/98.75     inference(scs_inference,[],[142,294,336,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266,162,245,244,176,185,178,186,184,183,161,200,164,173,174,175,228,445,471,772,854])).
% 98.67/98.75  cnf(4506,plain,
% 98.67/98.75     (P9(a22,a22,a2,a2)),
% 98.67/98.75     inference(scs_inference,[],[142,294,336,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266,162,245,244,176,185,178,186,184,183,161,200,164,173,174,175,228,445,471,772,854,1177])).
% 98.67/98.75  cnf(4508,plain,
% 98.67/98.75     (P9(a20,a20,a2,a2)),
% 98.67/98.75     inference(scs_inference,[],[142,294,336,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266,162,245,244,176,185,178,186,184,183,161,200,164,173,174,175,228,445,471,772,854,1177,1273])).
% 98.67/98.75  cnf(4510,plain,
% 98.67/98.75     (P9(f7(a2,a16,a16,a21),a2,a2,a21)),
% 98.67/98.75     inference(scs_inference,[],[142,294,336,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266,162,245,244,176,185,178,186,184,183,161,200,164,173,174,175,228,445,471,772,854,1177,1273,191])).
% 98.67/98.75  cnf(4512,plain,
% 98.67/98.75     (P7(a19,a2,a2,a16,a2,a19,a2,a16)),
% 98.67/98.75     inference(scs_inference,[],[142,294,336,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266,162,245,244,176,185,178,186,184,183,161,200,164,173,174,175,228,445,471,772,854,1177,1273,191,260])).
% 98.67/98.75  cnf(4516,plain,
% 98.67/98.75     (P10(a21,a2,a21,a2)),
% 98.67/98.75     inference(scs_inference,[],[142,294,336,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266,162,245,244,176,185,178,186,184,183,161,200,164,173,174,175,228,445,471,772,854,1177,1273,191,260,1145,237])).
% 98.67/98.75  cnf(4530,plain,
% 98.67/98.75     (P7(a15,a16,a16,a16,a15,a16,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[142,294,336,1491,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266,162,245,244,176,185,178,186,184,183,161,200,164,173,174,175,228,445,471,772,854,1177,1273,191,260,1145,237,165,195,197,198,201,202,232])).
% 98.67/98.75  cnf(4534,plain,
% 98.67/98.75     (P1(f13(a16,a16,a16,a16,a15,a15),a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[142,294,336,1491,330,146,150,334,152,288,155,156,157,160,230,261,262,263,229,168,171,169,167,158,170,172,256,259,257,258,187,188,227,181,182,193,194,207,208,209,266,162,245,244,176,185,178,186,184,183,161,200,164,173,174,175,228,445,471,772,854,1177,1273,191,260,1145,237,165,195,197,198,201,202,232,210,211])).
% 98.67/98.75  cnf(4540,plain,
% 98.67/98.75     (P1(a15,a1,a2)),
% 98.67/98.75     inference(scs_inference,[],[4406,4490,228,155])).
% 98.67/98.75  cnf(4542,plain,
% 98.67/98.75     (P7(a21,a2,a21,a2,a2,a16,a2,a16)),
% 98.67/98.75     inference(scs_inference,[],[4448,4406,4490,228,155,263])).
% 98.67/98.75  cnf(4544,plain,
% 98.67/98.75     (P1(a21,a16,a2)),
% 98.67/98.75     inference(scs_inference,[],[4448,4406,4430,4490,228,155,263,157])).
% 98.67/98.75  cnf(4546,plain,
% 98.67/98.75     (P7(a2,a21,a2,a16,a21,a2,a2,a16)),
% 98.67/98.75     inference(scs_inference,[],[4448,4406,4430,4490,228,155,263,157,262])).
% 98.67/98.75  cnf(4548,plain,
% 98.67/98.75     (P7(a2,a16,a21,a2,a2,a16,a21,a2)),
% 98.67/98.75     inference(scs_inference,[],[4448,4406,4430,4490,228,155,263,157,262,261])).
% 98.67/98.75  cnf(4550,plain,
% 98.67/98.75     (P8(a21,a16,a16,a2,a16,a2,a21,a2)),
% 98.67/98.75     inference(scs_inference,[],[4448,4406,4424,4430,4490,228,155,263,157,262,261,230])).
% 98.67/98.75  cnf(4552,plain,
% 98.67/98.75     (P10(a21,a21,a15,a15)),
% 98.67/98.75     inference(scs_inference,[],[4448,4406,4424,4430,4466,4490,228,155,263,157,262,261,230,471])).
% 98.67/98.75  cnf(4554,plain,
% 98.67/98.75     (P7(a2,a16,a2,a16,a19,a2,a19,a2)),
% 98.67/98.75     inference(scs_inference,[],[4448,4406,4418,4424,4430,4466,4490,228,155,263,157,262,261,230,471,260])).
% 98.67/98.75  cnf(4556,plain,
% 98.67/98.75     (P1(a2,a15,a1)),
% 98.67/98.75     inference(scs_inference,[],[4448,4404,4406,4418,4424,4430,4466,4490,228,155,263,157,262,261,230,471,260,156])).
% 98.67/98.75  cnf(4558,plain,
% 98.67/98.75     (P10(a15,a16,a16,a15)),
% 98.67/98.75     inference(scs_inference,[],[4448,4404,4406,4418,4424,4430,4466,4480,4490,228,155,263,157,262,261,230,471,260,156,168])).
% 98.67/98.75  cnf(4560,plain,
% 98.67/98.75     (P1(a16,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[4448,4498,4404,4406,4418,4424,4430,4466,4480,4490,228,155,263,157,262,261,230,471,260,156,168,164])).
% 98.67/98.75  cnf(4562,plain,
% 98.67/98.75     (P8(a16,a16,x45621,x45622,a16,a16,x45621,x45622)),
% 98.67/98.75     inference(scs_inference,[],[4448,4498,4404,4406,4418,4424,4430,4466,4480,4490,228,155,263,157,262,261,230,471,260,156,168,164,229])).
% 98.67/98.75  cnf(4564,plain,
% 98.67/98.75     (P4(f27(a2,a16,a2,a16,a21,a21),a2,f27(a2,a16,a2,a16,a21,a21),a16)),
% 98.67/98.75     inference(scs_inference,[],[4448,4498,4404,4406,4418,4424,4430,4466,4480,4490,4458,228,155,263,157,262,261,230,471,260,156,168,164,229,160])).
% 98.67/98.75  cnf(4566,plain,
% 98.67/98.75     (P9(a2,a2,a21,a21)),
% 98.67/98.75     inference(scs_inference,[],[4448,4498,4474,4404,4406,4418,4424,4430,4466,4480,4490,4458,228,155,263,157,262,261,230,471,260,156,168,164,229,160,169])).
% 98.67/98.75  cnf(4568,plain,
% 98.67/98.75     (P10(a17,a20,a1,a17)),
% 98.67/98.75     inference(scs_inference,[],[4448,4498,4474,4404,4406,4418,4422,4424,4430,4466,4480,4490,4458,228,155,263,157,262,261,230,471,260,156,168,164,229,160,169,167])).
% 98.67/98.75  cnf(4572,plain,
% 98.67/98.75     (P4(a16,a21,a2,a21)),
% 98.67/98.75     inference(scs_inference,[],[4448,4498,4474,4476,4404,4406,4418,4422,4424,4430,4466,4480,4490,4496,4458,228,155,263,157,262,261,230,471,260,156,168,164,229,160,169,167,237,171])).
% 98.67/98.75  cnf(4574,plain,
% 98.67/98.75     (P3(f27(a2,a16,a2,a16,a21,a21),a16,a2)),
% 98.67/98.75     inference(scs_inference,[],[4448,4498,4474,4476,4404,4406,4418,4422,4424,4430,4466,4480,4490,4496,4458,228,155,263,157,262,261,230,471,260,156,168,164,229,160,169,167,237,171,158])).
% 98.67/98.75  cnf(4576,plain,
% 98.67/98.75     (P9(a22,a17,a16,a15)),
% 98.67/98.75     inference(scs_inference,[],[4448,4498,4474,4476,4404,4406,4418,4422,4424,4426,4430,4466,4480,4490,4496,4458,228,155,263,157,262,261,230,471,260,156,168,164,229,160,169,167,237,171,158,170])).
% 98.67/98.75  cnf(4578,plain,
% 98.67/98.75     (P4(a2,a21,a21,a16)),
% 98.67/98.75     inference(scs_inference,[],[4448,4498,4474,4476,4404,4406,4418,4422,4424,4426,4430,4466,4480,4490,4496,4458,228,155,263,157,262,261,230,471,260,156,168,164,229,160,169,167,237,171,158,170,172])).
% 98.67/98.75  cnf(4580,plain,
% 98.67/98.75     (P8(a16,a16,x45801,x45802,a21,a21,x45801,x45802)),
% 98.67/98.75     inference(scs_inference,[],[4448,4498,4474,4476,4404,4420,4406,4418,4422,4424,4426,4430,4466,4480,4490,4496,4458,228,155,263,157,262,261,230,471,260,156,168,164,229,160,169,167,237,171,158,170,172,256])).
% 98.67/98.75  cnf(4584,plain,
% 98.67/98.75     (P8(x45841,x45842,a21,a21,x45841,x45842,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[4448,4498,4474,4476,4404,4420,4406,4418,4422,4424,4426,4430,4464,4466,4480,4490,4496,4458,228,155,263,157,262,261,230,471,260,156,168,164,229,160,169,167,237,171,158,170,172,256,259,257])).
% 98.67/98.75  cnf(4588,plain,
% 98.67/98.75     (P5(a16,a16,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[4448,4498,4474,4476,4404,4420,4406,4418,4422,4424,4426,4430,4436,4464,4466,4480,4486,4490,4496,4458,228,155,263,157,262,261,230,471,260,156,168,164,229,160,169,167,237,171,158,170,172,256,259,257,258,189])).
% 98.67/98.75  cnf(4592,plain,
% 98.67/98.75     (P7(a2,a19,a2,a16,a2,a19,a2,a16)),
% 98.67/98.75     inference(scs_inference,[],[4448,4498,4474,4476,4404,4416,4420,4406,4418,4422,4424,4426,4430,4436,4464,4466,4480,4486,4490,4496,4512,4458,326,228,155,263,157,262,261,230,471,260,156,168,164,229,160,169,167,237,171,158,170,172,256,259,257,258,189,240,267])).
% 98.67/98.75  cnf(4600,plain,
% 98.67/98.75     (P10(f27(a16,a2,a16,a2,a21,a21),a21,a2,a2)),
% 98.67/98.75     inference(scs_inference,[],[4448,4498,4474,4476,4404,4416,4502,4420,4406,4418,4422,4424,4426,4430,4436,4464,4466,4480,4486,4490,4496,4512,4458,326,228,155,263,157,262,261,230,471,260,156,168,164,229,160,169,167,237,171,158,170,172,256,259,257,258,189,240,267,194,193,208,209])).
% 98.67/98.75  cnf(4602,plain,
% 98.67/98.75     (P3(f27(a16,a2,a16,a2,a21,a21),a16,a2)),
% 98.67/98.75     inference(scs_inference,[],[4448,4498,4474,4476,4404,4416,4502,4420,4406,4418,4422,4424,4426,4430,4436,4464,4466,4480,4486,4490,4496,4512,4458,326,228,155,263,157,262,261,230,471,260,156,168,164,229,160,169,167,237,171,158,170,172,256,259,257,258,189,240,267,194,193,208,209,207])).
% 98.67/98.75  cnf(4608,plain,
% 98.67/98.75     (P7(a21,a16,a16,a2,a21,a16,a16,a2)),
% 98.67/98.75     inference(scs_inference,[],[457,4448,4498,4474,4476,4404,4416,4502,4420,4406,4418,4422,4424,4426,4430,4436,4464,4466,4480,4486,4490,4496,4512,4458,326,228,155,263,157,262,261,230,471,260,156,168,164,229,160,169,167,237,171,158,170,172,256,259,257,258,189,240,267,194,193,208,209,207,266,202,227])).
% 98.67/98.75  cnf(4610,plain,
% 98.67/98.75     (P2(a21,a16,a2,a2)),
% 98.67/98.75     inference(scs_inference,[],[457,4448,4498,4474,4476,4404,4416,4502,4420,4406,4418,4422,4424,4426,4430,4436,4464,4466,4480,4486,4490,4496,4512,4458,326,228,155,263,157,262,261,230,471,260,156,168,164,229,160,169,167,237,171,158,170,172,256,259,257,258,189,240,267,194,193,208,209,207,266,202,227,188])).
% 98.67/98.75  cnf(4618,plain,
% 98.67/98.75     (P1(a15,a15,a2)),
% 98.67/98.75     inference(scs_inference,[],[457,4448,4498,4474,4476,4404,4416,4502,4420,4406,4418,4422,4424,4426,4430,4436,4464,4466,4480,4486,4490,4496,4512,4458,326,228,155,263,157,262,261,230,471,260,156,168,164,229,160,169,167,237,171,158,170,172,256,259,257,258,189,240,267,194,193,208,209,207,266,202,227,188,181,201,182,159])).
% 98.67/98.75  cnf(4620,plain,
% 98.67/98.75     (P9(a16,a2,a2,a2)),
% 98.67/98.75     inference(scs_inference,[],[457,4448,4498,4474,4476,4404,4416,4502,4420,4406,4418,4422,4424,4426,4430,4436,4464,4466,4480,4486,4490,4496,4512,4458,326,228,155,263,157,262,261,230,471,260,156,168,164,229,160,169,167,237,171,158,170,172,256,259,257,258,189,240,267,194,193,208,209,207,266,202,227,188,181,201,182,159,176])).
% 98.67/98.75  cnf(4622,plain,
% 98.67/98.75     (P9(a2,a16,a21,a21)),
% 98.67/98.75     inference(scs_inference,[],[457,4448,4498,4474,4476,4404,4416,4502,4420,4406,4418,4422,4424,4426,4430,4436,4464,4466,4480,4486,4490,4496,4512,4458,326,228,155,263,157,262,261,230,471,260,156,168,164,229,160,169,167,237,171,158,170,172,256,259,257,258,189,240,267,194,193,208,209,207,266,202,227,188,181,201,182,159,176,185])).
% 98.67/98.75  cnf(4624,plain,
% 98.67/98.75     (P9(a21,a21,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[457,4448,4498,4474,4476,4404,4416,4502,4420,4438,4406,4418,4422,4424,4426,4430,4436,4464,4466,4480,4486,4490,4496,4512,4458,326,228,155,263,157,262,261,230,471,260,156,168,164,229,160,169,167,237,171,158,170,172,256,259,257,258,189,240,267,194,193,208,209,207,266,202,227,188,181,201,182,159,176,185,245])).
% 98.67/98.75  cnf(4627,plain,
% 98.67/98.75     (P5(a16,a2,a2,a2)),
% 98.67/98.75     inference(scs_inference,[],[457,4448,4498,4474,4476,4404,4416,4502,4420,4438,4406,4418,4422,4424,4426,4430,4436,4464,4466,4480,4486,4490,4496,4512,4458,326,228,155,263,157,262,261,230,471,260,156,168,164,229,160,169,167,237,171,158,170,172,256,259,257,258,189,240,267,194,193,208,209,207,266,202,227,188,181,201,182,159,176,185,245,200])).
% 98.67/98.75  cnf(4635,plain,
% 98.67/98.75     (P10(a17,a20,a20,a17)),
% 98.67/98.75     inference(scs_inference,[],[457,4448,4498,4474,4476,4404,4416,4502,4420,4438,4406,4418,4422,4424,4426,4430,4436,4464,4466,4480,4484,4486,4488,4490,4496,4512,4534,4458,326,228,155,263,157,262,261,230,471,260,156,168,164,229,160,169,167,237,171,158,170,172,256,259,257,258,189,240,267,194,193,208,209,207,266,202,227,188,181,201,182,159,176,185,245,200,232,210,211,498])).
% 98.67/98.75  cnf(4637,plain,
% 98.67/98.75     (P9(f7(a16,a2,a2,a21),a16,a16,a21)),
% 98.67/98.75     inference(scs_inference,[],[457,4448,4498,4474,4476,4404,4416,4502,4420,4438,4406,4418,4422,4424,4426,4430,4436,4464,4466,4480,4484,4486,4488,4490,4496,4512,4534,4458,326,228,155,263,157,262,261,230,471,260,156,168,164,229,160,169,167,237,171,158,170,172,256,259,257,258,189,240,267,194,193,208,209,207,266,202,227,188,181,201,182,159,176,185,245,200,232,210,211,498,191])).
% 98.67/98.75  cnf(4639,plain,
% 98.67/98.75     (P5(a19,a16,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[457,4448,4498,4474,4476,4404,4416,4502,4420,4438,4406,4418,4422,4424,4426,4430,4436,4464,4466,4480,4484,4486,4488,4490,4496,4512,4534,4458,326,228,155,263,157,262,261,230,471,260,156,168,164,229,160,169,167,237,171,158,170,172,256,259,257,258,189,240,267,194,193,208,209,207,266,202,227,188,181,201,182,159,176,185,245,200,232,210,211,498,191,173])).
% 98.67/98.75  cnf(4641,plain,
% 98.67/98.75     (P5(a16,a16,a19,a16)),
% 98.67/98.75     inference(scs_inference,[],[457,4448,4498,4474,4476,4404,4416,4502,4420,4438,4406,4418,4422,4424,4426,4430,4436,4464,4466,4480,4484,4486,4488,4490,4496,4512,4534,4458,326,228,155,263,157,262,261,230,471,260,156,168,164,229,160,169,167,237,171,158,170,172,256,259,257,258,189,240,267,194,193,208,209,207,266,202,227,188,181,201,182,159,176,185,245,200,232,210,211,498,191,173,174])).
% 98.67/98.75  cnf(4643,plain,
% 98.67/98.75     (P5(a16,a16,a16,a19)),
% 98.67/98.75     inference(scs_inference,[],[457,4448,4498,4474,4476,4404,4416,4502,4420,4438,4406,4418,4422,4424,4426,4430,4436,4464,4466,4480,4484,4486,4488,4490,4496,4512,4534,4458,326,228,155,263,157,262,261,230,471,260,156,168,164,229,160,169,167,237,171,158,170,172,256,259,257,258,189,240,267,194,193,208,209,207,266,202,227,188,181,201,182,159,176,185,245,200,232,210,211,498,191,173,174,175])).
% 98.67/98.75  cnf(4649,plain,
% 98.67/98.75     (~P3(a2,a2,a2)+P1(a2,a2,f3(a2,a2,a2))),
% 98.67/98.75     inference(scs_inference,[],[457,4448,4498,4474,4476,4404,4416,4502,4420,4438,4406,4418,4422,4424,4426,4430,4436,4464,4466,4480,4484,4486,4488,4490,4496,4512,4534,4458,326,228,155,263,157,262,261,230,471,260,156,168,164,229,160,169,167,237,171,158,170,172,256,259,257,258,189,240,267,194,193,208,209,207,266,202,227,188,181,201,182,159,176,185,245,200,232,210,211,498,191,173,174,175,180,195,177])).
% 98.67/98.75  cnf(4657,plain,
% 98.67/98.75     (P8(a2,a16,a2,a16,a16,a16,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[4492,4574,157,228])).
% 98.67/98.75  cnf(4661,plain,
% 98.67/98.75     (P5(a2,a2,a16,a2)),
% 98.67/98.75     inference(scs_inference,[],[4492,4627,4574,157,228,173,174])).
% 98.67/98.75  cnf(4663,plain,
% 98.67/98.75     (P1(a2,a21,a16)),
% 98.67/98.75     inference(scs_inference,[],[4492,4408,4627,4574,157,228,173,174,155])).
% 98.67/98.75  cnf(4669,plain,
% 98.67/98.75     (P1(a15,a2,a1)),
% 98.67/98.75     inference(scs_inference,[],[4492,4504,4408,4540,4627,4574,4600,157,228,173,174,155,471,168,156])).
% 98.67/98.75  cnf(4671,plain,
% 98.67/98.75     (P7(a15,a16,a15,a16,a16,a16,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[4492,4504,4530,4408,4540,4627,4574,4600,157,228,173,174,155,471,168,156,263])).
% 98.67/98.75  cnf(4673,plain,
% 98.67/98.75     (P1(a22,a17,a17)),
% 98.67/98.75     inference(scs_inference,[],[4492,4504,4530,4408,4540,4627,4574,4600,157,228,173,174,155,471,168,156,263,164])).
% 98.67/98.75  cnf(4675,plain,
% 98.67/98.75     (P7(a16,a16,a15,a16,a16,a16,a15,a16)),
% 98.67/98.75     inference(scs_inference,[],[4492,4504,4530,4408,4540,4627,4574,4600,157,228,173,174,155,471,168,156,263,164,261])).
% 98.67/98.75  cnf(4677,plain,
% 98.67/98.75     (P7(a2,a16,a2,a16,a21,a2,a21,a2)),
% 98.67/98.75     inference(scs_inference,[],[4492,4504,4530,4408,4540,4542,4627,4574,4600,157,228,173,174,155,471,168,156,263,164,261,260])).
% 98.67/98.75  cnf(4679,plain,
% 98.67/98.75     (P7(a16,a2,a19,a2,a2,a16,a19,a2)),
% 98.67/98.75     inference(scs_inference,[],[4492,4414,4504,4530,4408,4540,4542,4627,4574,4600,157,228,173,174,155,471,168,156,263,164,261,260,262])).
% 98.67/98.75  cnf(4681,plain,
% 98.67/98.75     (P5(a2,a2,a2,a16)),
% 98.67/98.75     inference(scs_inference,[],[4492,4414,4504,4530,4408,4540,4542,4627,4574,4600,157,228,173,174,155,471,168,156,263,164,261,260,262,175])).
% 98.67/98.75  cnf(4687,plain,
% 98.67/98.75     (P9(a2,a2,a20,a20)),
% 98.67/98.75     inference(scs_inference,[],[4508,4492,4414,4504,4530,4408,4540,4542,4627,4564,4574,4600,157,228,173,174,155,471,168,156,263,164,261,260,262,175,230,160,169])).
% 98.67/98.75  cnf(4689,plain,
% 98.67/98.75     (P8(a22,a17,x46891,x46892,a22,a17,x46891,x46892)),
% 98.67/98.75     inference(scs_inference,[],[4508,4492,4414,4504,4530,4408,4540,4542,4627,4564,4574,4600,157,228,173,174,155,471,168,156,263,164,261,260,262,175,230,160,169,229])).
% 98.67/98.75  cnf(4691,plain,
% 98.67/98.75     (P4(a16,a21,a21,a2)),
% 98.67/98.75     inference(scs_inference,[],[4508,4492,4414,4504,4530,4408,4434,4540,4542,4627,4564,4574,4600,157,228,173,174,155,471,168,156,263,164,261,260,262,175,230,160,169,229,171])).
% 98.67/98.75  cnf(4693,plain,
% 98.67/98.75     (P10(a15,a15,a21,a21)),
% 98.67/98.75     inference(scs_inference,[],[4508,4492,4414,4504,4530,4408,4434,4540,4542,4552,4627,4564,4574,4600,157,228,173,174,155,471,168,156,263,164,261,260,262,175,230,160,169,229,171,167])).
% 98.67/98.75  cnf(4695,plain,
% 98.67/98.75     (P3(f27(a16,a2,a16,a2,a21,a21),a2,a16)),
% 98.67/98.75     inference(scs_inference,[],[4508,4492,4414,4504,4530,4408,4434,4540,4542,4552,4627,4564,4574,4602,4600,157,228,173,174,155,471,168,156,263,164,261,260,262,175,230,160,169,229,171,167,158])).
% 98.67/98.75  cnf(4701,plain,
% 98.67/98.75     (P8(a21,a16,a2,a16,a2,a16,a21,a2)),
% 98.67/98.75     inference(scs_inference,[],[4508,4492,4414,4504,4440,4530,4408,4434,4540,4542,4552,4627,4510,4564,4574,4602,4600,157,228,173,174,155,471,168,156,263,164,261,260,262,175,230,160,169,229,171,167,158,170,172,256])).
% 98.67/98.75  cnf(4703,plain,
% 98.67/98.75     (P8(a16,a16,a16,a16,x47031,x47032,x47031,x47032)),
% 98.67/98.75     inference(scs_inference,[],[4508,4492,4414,4504,4440,4530,4562,4408,4434,4540,4542,4552,4627,4510,4564,4574,4602,4600,157,228,173,174,155,471,168,156,263,164,261,260,262,175,230,160,169,229,171,167,158,170,172,256,259])).
% 98.67/98.75  cnf(4717,plain,
% 98.67/98.75     (P3(f27(a15,a16,a15,a16,a22,a22),a15,a16)),
% 98.67/98.75     inference(scs_inference,[],[4508,4492,4414,4504,4440,4442,4530,4562,4408,4434,4540,4542,4552,4627,4510,4564,4574,4602,4600,4502,147,151,157,228,173,174,155,471,168,156,263,164,261,260,262,175,230,160,169,229,171,167,158,170,172,256,259,257,258,194,208,195,266,207])).
% 98.67/98.75  cnf(4721,plain,
% 98.67/98.75     (P10(f27(a15,a16,a15,a16,a22,a22),a22,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[4508,4492,4414,4504,4440,4442,4530,4562,4408,4434,4540,4542,4552,4627,4510,4564,4574,4602,4600,4502,147,151,157,228,173,174,155,471,168,156,263,164,261,260,262,175,230,160,169,229,171,167,158,170,172,256,259,257,258,194,208,195,266,207,193,209])).
% 98.67/98.75  cnf(4727,plain,
% 98.67/98.75     (P4(a2,a16,a2,a16)),
% 98.67/98.75     inference(scs_inference,[],[4508,4492,4414,4504,4440,4442,4530,4562,4408,4434,4540,4542,4552,4627,4510,4564,4574,4602,4600,4444,4502,147,151,157,228,173,174,155,471,168,156,263,164,261,260,262,175,230,160,169,229,171,167,158,170,172,256,259,257,258,194,208,195,266,207,193,209,182,227,247])).
% 98.67/98.75  cnf(4737,plain,
% 98.67/98.75     (P10(a16,a16,a15,a15)),
% 98.67/98.75     inference(scs_inference,[],[4508,4492,4414,4504,4440,4442,4530,4562,4580,4408,4434,4540,4542,4552,4556,4620,4627,4510,4564,4574,4602,4600,4444,4502,147,151,157,228,173,174,155,471,168,156,263,164,261,260,262,175,230,160,169,229,171,167,158,170,172,256,259,257,258,194,208,195,266,207,193,209,182,227,247,202,181,201,188,244])).
% 98.67/98.75  cnf(4740,plain,
% 98.67/98.75     (P9(a16,a2,a21,a21)),
% 98.67/98.75     inference(scs_inference,[],[4508,4492,4414,4504,4440,4442,4530,4562,4580,4408,4434,4540,4542,4552,4556,4572,4620,4627,4510,4564,4574,4602,4600,4444,4502,147,151,157,228,173,174,155,471,168,156,263,164,261,260,262,175,230,160,169,229,171,167,158,170,172,256,259,257,258,194,208,195,266,207,193,209,182,227,247,202,181,201,188,244,185])).
% 98.67/98.75  cnf(4744,plain,
% 98.67/98.75     (P3(a22,a16,a15)),
% 98.67/98.75     inference(scs_inference,[],[4508,4492,4414,4504,4440,4442,4530,4562,4580,4408,4434,4540,4542,4552,4556,4558,4572,4620,4627,4510,4564,4574,4602,4600,4444,336,4502,374,147,151,157,228,173,174,155,471,168,156,263,164,261,260,262,175,230,160,169,229,171,167,158,170,172,256,259,257,258,194,208,195,266,207,193,209,182,227,247,202,181,201,188,244,185,245,179])).
% 98.67/98.75  cnf(4746,plain,
% 98.67/98.75     (P4(a16,a16,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[4508,4492,4414,4504,4440,4442,4530,4562,4580,4408,4434,4540,4542,4552,4556,4558,4572,4620,4627,4510,4564,4574,4602,4600,4444,336,4502,374,147,151,157,228,173,174,155,471,168,156,263,164,261,260,262,175,230,160,169,229,171,167,158,170,172,256,259,257,258,194,208,195,266,207,193,209,182,227,247,202,181,201,188,244,185,245,179,255])).
% 98.67/98.75  cnf(4752,plain,
% 98.67/98.75     (P7(a2,a21,a21,a16,a2,a21,a21,a16)),
% 98.67/98.75     inference(scs_inference,[],[4508,4492,4414,4504,4440,4442,4530,4562,4580,4408,4434,4540,4542,4544,4552,4556,4558,4560,4572,4620,4627,4510,4564,4574,4602,4600,4444,4484,336,4502,374,147,151,157,228,173,174,155,471,168,156,263,164,261,260,262,175,230,160,169,229,171,167,158,170,172,256,259,257,258,194,208,195,266,207,193,209,182,227,247,202,181,201,188,244,185,245,179,255,210,211,1611])).
% 98.67/98.75  cnf(4765,plain,
% 98.67/98.75     (P8(a16,a16,x47651,x47652,a16,a16,x47651,x47652)),
% 98.67/98.75     inference(rename_variables,[],[4562])).
% 98.67/98.75  cnf(4768,plain,
% 98.67/98.75     (P8(a16,a16,x47681,x47682,a16,a16,x47681,x47682)),
% 98.67/98.75     inference(rename_variables,[],[4562])).
% 98.67/98.75  cnf(4772,plain,
% 98.67/98.75     (P5(a16,f23(a16,a16,a16,a16),a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[4508,4492,4414,4504,4440,4442,4530,4562,4765,4768,4580,4408,4434,4540,4542,4544,4552,4556,4558,4560,4572,4620,4627,4510,4564,4574,4602,4600,4472,4444,4484,336,4502,374,147,151,157,228,173,174,155,471,168,156,263,164,261,260,262,175,230,160,169,229,171,167,158,170,172,256,259,257,258,194,208,195,266,207,193,209,182,227,247,202,181,201,188,244,185,245,179,255,210,211,1611,237,238,203,204,205,249,253,197,240])).
% 98.67/98.75  cnf(4777,plain,
% 98.67/98.75     (P9(a16,a16,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[4508,4492,4414,4504,4440,4442,4530,4562,4765,4768,4580,4408,4434,4540,4542,4544,4552,4556,4558,4560,4572,4588,4620,4627,4510,4564,4574,4602,4600,4472,4444,4484,336,4502,374,147,151,157,228,173,174,155,471,168,156,263,164,261,260,262,175,230,160,169,229,171,167,158,170,172,256,259,257,258,194,208,195,266,207,193,209,182,227,247,202,181,201,188,244,185,245,179,255,210,211,1611,237,238,203,204,205,249,253,197,240,198,199])).
% 98.67/98.75  cnf(4779,plain,
% 98.67/98.75     (P9(a20,a20,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[4508,4492,4414,4504,4440,4442,4530,4562,4765,4768,4580,4408,4434,4540,4542,4544,4552,4556,4558,4560,4572,4588,4620,4627,4510,4564,4574,4602,4600,4472,4444,4484,336,4502,374,147,151,157,228,173,174,155,471,168,156,263,164,261,260,262,175,230,160,169,229,171,167,158,170,172,256,259,257,258,194,208,195,266,207,193,209,182,227,247,202,181,201,188,244,185,245,179,255,210,211,1611,237,238,203,204,205,249,253,197,240,198,199,1273])).
% 98.67/98.75  cnf(4781,plain,
% 98.67/98.75     (P9(a2,a2,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[4508,4492,4414,4504,4440,4442,4530,4562,4765,4768,4580,4408,4434,4540,4542,4544,4552,4556,4558,4560,4572,4588,4620,4627,4510,4564,4574,4602,4600,4472,4444,4484,336,4502,374,147,151,157,228,173,174,155,471,168,156,263,164,261,260,262,175,230,160,169,229,171,167,158,170,172,256,259,257,258,194,208,195,266,207,193,209,182,227,247,202,181,201,188,244,185,245,179,255,210,211,1611,237,238,203,204,205,249,253,197,240,198,199,1273,772])).
% 98.67/98.75  cnf(4783,plain,
% 98.67/98.75     (P9(a22,a22,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[4508,4492,4414,4504,4440,4442,4530,4562,4765,4768,4580,4408,4434,4540,4542,4544,4552,4556,4558,4560,4572,4588,4620,4627,4510,4564,4574,4602,4600,4472,4444,4484,336,4502,374,147,151,157,228,173,174,155,471,168,156,263,164,261,260,262,175,230,160,169,229,171,167,158,170,172,256,259,257,258,194,208,195,266,207,193,209,182,227,247,202,181,201,188,244,185,245,179,255,210,211,1611,237,238,203,204,205,249,253,197,240,198,199,1273,772,1177])).
% 98.67/98.75  cnf(4785,plain,
% 98.67/98.75     (P9(a15,a15,a16,a16)),
% 98.67/98.75     inference(scs_inference,[],[4508,4492,4414,4504,4440,4442,4530,4562,4765,4768,4580,4408,4434,4540,4542,4544,4552,4556,4558,4560,4572,4588,4620,4627,4510,4564,4574,4602,4600,4472,4444,4484,336,4502,374,147,151,157,228,173,174,155,471,168,156,263,164,261,260,262,175,230,160,169,229,171,167,158,170,172,256,259,257,258,194,208,195,266,207,193,209,182,227,247,202,181,201,188,244,185,245,179,255,210,211,1611,237,238,203,204,205,249,253,197,240,198,199,1273,772,1177,1145])).
% 98.67/98.75  cnf(4791,plain,
% 98.67/98.75     (P1(a22,a16,a15)),
% 98.67/98.75     inference(scs_inference,[],[4744,4772,174,157])).
% 98.67/98.75  cnf(4795,plain,
% 98.67/98.75     (P7(a2,a16,a2,a21,a2,a16,a21,a2)),
% 98.67/98.75     inference(scs_inference,[],[4516,4744,4546,4772,174,157,168,261])).
% 98.67/98.75  cnf(4797,plain,
% 98.67/98.75     (P1(a17,a22,a17)),
% 98.67/98.75     inference(scs_inference,[],[4516,4744,4546,4673,4772,174,157,168,261,155])).
% 98.67/98.75  cnf(4799,plain,
% 98.67/98.75     (P1(a15,a2,a15)),
% 98.67/98.75     inference(scs_inference,[],[4516,4744,4546,4618,4673,4772,174,157,168,261,155,156])).
% 98.67/98.75  cnf(4803,plain,
% 98.67/98.75     (P7(a21,a2,a2,a16,a2,a21,a2,a16)),
% 98.67/98.75     inference(scs_inference,[],[4516,4641,4744,4546,4618,4673,4772,174,157,168,261,155,156,228,260])).
% 98.67/98.75  cnf(4805,plain,
% 98.67/98.75     (P8(a2,a16,a16,a16,a16,a16,a2,a16)),
% 98.67/98.75     inference(scs_inference,[],[4516,4641,4744,4546,4618,4673,4727,4772,174,157,168,261,155,156,228,260,230])).
% 98.67/98.75  cnf(4811,plain,
% 98.67/98.75     (P5(a16,a16,a16,f23(a16,a16,a16,a16))),
% 98.67/98.75     inference(scs_inference,[],[4516,4641,4744,4546,4618,4673,4727,4772,174,157,168,261,155,156,228,260,230,173,164,175])).
% 98.67/98.75  cnf(4813,plain,
% 98.67/98.75     (P7(a2,a21,a21,a2,a2,a16,a2,a16)),
% 98.67/98.76     inference(scs_inference,[],[4516,4641,4744,4546,4618,4673,4727,4772,174,157,168,261,155,156,228,260,230,173,164,175,263])).
% 98.67/98.76  cnf(4815,plain,
% 98.67/98.76     (P4(a22,a16,a22,a15)),
% 98.67/98.76     inference(scs_inference,[],[4516,4641,4744,4546,4618,4673,4727,4772,174,157,168,261,155,156,228,260,230,173,164,175,263,160])).
% 98.67/98.76  cnf(4817,plain,
% 98.67/98.76     (P9(a2,a2,a22,a22)),
% 98.67/98.76     inference(scs_inference,[],[4506,4516,4641,4744,4546,4618,4673,4727,4772,174,157,168,261,155,156,228,260,230,173,164,175,263,160,169])).
% 98.67/98.76  cnf(4819,plain,
% 98.67/98.76     (P7(a16,a2,a2,a16,a19,a2,a19,a2)),
% 98.67/98.76     inference(scs_inference,[],[4506,4516,4641,4554,4744,4546,4618,4673,4727,4772,174,157,168,261,155,156,228,260,230,173,164,175,263,160,169,262])).
% 98.67/98.76  cnf(4821,plain,
% 98.67/98.76     (P8(a21,a2,x48211,x48212,a21,a2,x48211,x48212)),
% 98.67/98.76     inference(scs_inference,[],[4506,4516,4641,4554,4744,4546,4618,4673,4727,4772,174,157,168,261,155,156,228,260,230,173,164,175,263,160,169,262,229])).
% 98.67/98.76  cnf(4825,plain,
% 98.67/98.76     (P4(a21,a16,a2,a21)),
% 98.67/98.76     inference(scs_inference,[],[4506,4516,4635,4641,4554,4744,4546,4578,4618,4673,4727,4772,174,157,168,261,155,156,228,260,230,173,164,175,263,160,169,262,229,167,171])).
% 98.67/98.76  cnf(4827,plain,
% 98.67/98.76     (P3(f27(a15,a16,a15,a16,a22,a22),a16,a15)),
% 98.67/98.76     inference(scs_inference,[],[4506,4516,4635,4641,4554,4744,4546,4578,4618,4673,4727,4717,4772,174,157,168,261,155,156,228,260,230,173,164,175,263,160,169,262,229,167,171,158])).
% 98.67/98.76  cnf(4831,plain,
% 98.67/98.76     (P4(a2,a16,a16,a2)),
% 98.67/98.76     inference(scs_inference,[],[4506,4516,4635,4641,4554,4744,4546,4578,4618,4673,4727,4637,4717,4772,174,157,168,261,155,156,228,260,230,173,164,175,263,160,169,262,229,167,171,158,170,172])).
% 98.67/98.76  cnf(4833,plain,
% 98.67/98.76     (P8(x48331,x48332,a16,a16,x48331,x48332,a21,a21)),
% 98.67/98.76     inference(scs_inference,[],[4506,4516,4635,4641,4554,4744,4584,4546,4578,4618,4673,4727,4637,4717,4772,174,157,168,261,155,156,228,260,230,173,164,175,263,160,169,262,229,167,171,158,170,172,256])).
% 98.67/98.76  cnf(4835,plain,
% 98.67/98.76     (P8(x48351,x48352,x48351,x48352,a21,a21,a16,a16)),
% 98.67/98.76     inference(scs_inference,[],[4506,4516,4635,4641,4554,4744,4584,4546,4578,4618,4673,4727,4637,4717,4772,174,157,168,261,155,156,228,260,230,173,164,175,263,160,169,262,229,167,171,158,170,172,256,259])).
% 98.67/98.76  cnf(4839,plain,
% 98.67/98.76     (P8(x48391,x48392,a21,a21,x48392,x48391,a16,a16)),
% 98.67/98.76     inference(scs_inference,[],[4506,4516,4635,4641,4554,4744,4584,4689,4546,4578,4618,4673,4727,4637,4717,4772,174,157,168,261,155,156,228,260,230,173,164,175,263,160,169,262,229,167,171,158,170,172,256,259,257,258])).
% 98.67/98.76  cnf(4841,plain,
% 98.67/98.76     (P4(a16,a16,a16,f3(a16,a16,a16))),
% 98.67/98.76     inference(scs_inference,[],[4506,4516,4635,4641,4554,4744,4584,4689,4546,4578,4618,4673,4727,4746,4777,4637,4717,4772,174,157,168,261,155,156,228,260,230,173,164,175,263,160,169,262,229,167,171,158,170,172,256,259,257,258,192])).
% 98.67/98.76  cnf(4844,plain,
% 98.67/98.76     (P8(a16,a16,a16,a16,x48441,x48442,x48441,x48442)),
% 98.67/98.76     inference(rename_variables,[],[4703])).
% 98.67/98.76  cnf(4847,plain,
% 98.67/98.76     (P8(a16,a16,a16,a16,x48471,x48472,x48471,x48472)),
% 98.67/98.76     inference(rename_variables,[],[4703])).
% 98.67/98.76  cnf(4850,plain,
% 98.67/98.76     (P8(a16,a16,a16,a16,x48501,x48502,x48501,x48502)),
% 98.67/98.76     inference(rename_variables,[],[4703])).
% 98.67/98.76  cnf(4856,plain,
% 98.67/98.76     (P1(a16,a16,f3(a16,a16,a16))),
% 98.67/98.76     inference(scs_inference,[],[4506,4516,4635,4641,4554,4744,4584,4689,4703,4844,4847,4546,4578,4618,4673,4727,4746,4777,4637,4717,4772,174,157,168,261,155,156,228,260,230,173,164,175,263,160,169,262,229,167,171,158,170,172,256,259,257,258,192,250,251,254,204,194,180])).
% 98.67/98.76  cnf(4866,plain,
% 98.67/98.76     (P1(f25(a16,a15,a22,a17),a22,a17)),
% 98.67/98.76     inference(scs_inference,[],[589,4506,4516,4635,4641,4554,4744,4584,4689,4703,4844,4847,4546,4576,4578,4618,4673,4727,4746,4777,4637,4717,4772,4502,174,157,168,261,155,156,228,260,230,173,164,175,263,160,169,262,229,167,171,158,170,172,256,259,257,258,192,250,251,254,204,194,180,205,203,197,266,198])).
% 98.67/98.76  cnf(4868,plain,
% 98.67/98.76     (P3(f27(a16,a15,a16,a15,a22,a22),a16,a15)),
% 98.67/98.76     inference(scs_inference,[],[589,4506,4516,4635,4641,4554,4744,4584,4689,4703,4844,4847,4546,4576,4578,4618,4673,4727,4746,4777,4637,4717,4772,4502,174,157,168,261,155,156,228,260,230,173,164,175,263,160,169,262,229,167,171,158,170,172,256,259,257,258,192,250,251,254,204,194,180,205,203,197,266,198,207])).
% 98.67/98.76  cnf(4870,plain,
% 98.67/98.76     (P2(f8(a16,a16,a16),a16,a16,a16)),
% 98.67/98.76     inference(scs_inference,[],[589,4506,4494,4516,4635,4641,4554,4744,4584,4689,4703,4844,4847,4546,4576,4578,4618,4673,4727,4746,4777,4637,4717,4772,4502,174,157,168,261,155,156,228,260,230,173,164,175,263,160,169,262,229,167,171,158,170,172,256,259,257,258,192,250,251,254,204,194,180,205,203,197,266,198,207,195])).
% 98.67/98.76  cnf(4874,plain,
% 98.67/98.76     (P7(a22,a16,a16,a15,a22,a16,a16,a15)),
% 98.67/98.76     inference(scs_inference,[],[589,4506,4494,4516,4635,4641,4554,4744,4584,4689,4703,4844,4847,4546,4576,4578,4618,4673,4727,4746,4777,4637,4717,4772,4502,174,157,168,261,155,156,228,260,230,173,164,175,263,160,169,262,229,167,171,158,170,172,256,259,257,258,192,250,251,254,204,194,180,205,203,197,266,198,207,195,208,227])).
% 98.67/98.76  cnf(4888,plain,
% 98.67/98.76     (P4(a15,a16,a15,a16)),
% 98.67/98.76     inference(scs_inference,[],[589,4506,4494,4516,4635,4641,4554,4744,4584,4689,4703,4844,4847,4546,4576,4578,4618,4663,4671,4673,4727,4746,4777,4637,4717,4772,4620,4502,174,157,168,261,155,156,228,260,230,173,164,175,263,160,169,262,229,167,171,158,170,172,256,259,257,258,192,250,251,254,204,194,180,205,203,197,266,198,207,195,208,227,182,202,181,201,209,193,247])).
% 98.67/98.76  cnf(4890,plain,
% 98.67/98.76     (P2(a2,a16,a16,a16)),
% 98.67/98.76     inference(scs_inference,[],[589,4506,4494,4516,4635,4641,4554,4744,4584,4689,4703,4844,4847,4546,4576,4578,4618,4663,4671,4673,4727,4746,4777,4637,4717,4772,4620,4502,174,157,168,261,155,156,228,260,230,173,164,175,263,160,169,262,229,167,171,158,170,172,256,259,257,258,192,250,251,254,204,194,180,205,203,197,266,198,207,195,208,227,182,202,181,201,209,193,247,188])).
% 98.67/98.76  cnf(4894,plain,
% 98.67/98.76     (P9(a2,a16,a2,a16)),
% 98.67/98.76     inference(scs_inference,[],[589,4506,4494,4516,4635,4641,4554,4744,4584,4689,4703,4844,4847,4546,4576,4578,4618,4657,4663,4671,4673,4693,4727,4746,4777,4637,4717,4772,294,4620,4502,174,157,168,261,155,156,228,260,230,173,164,175,263,160,169,262,229,167,171,158,170,172,256,259,257,258,192,250,251,254,204,194,180,205,203,197,266,198,207,195,208,227,182,202,181,201,209,193,247,188,244,245])).
% 98.67/98.76  cnf(4896,plain,
% 98.67/98.76     (P3(a16,a16,a16)),
% 98.67/98.76     inference(scs_inference,[],[589,4506,4494,4516,4635,4641,4554,4744,4584,4689,4703,4844,4847,4850,4546,4576,4578,4618,4657,4663,4671,4673,4693,4727,4746,4777,4637,4717,4772,294,4560,4620,4502,174,157,168,261,155,156,228,260,230,173,164,175,263,160,169,262,229,167,171,158,170,172,256,259,257,258,192,250,251,254,204,194,180,205,203,197,266,198,207,195,208,227,182,202,181,201,209,193,247,188,244,245,243])).
% 98.67/98.76  cnf(4897,plain,
% 98.67/98.76     (P8(a16,a16,a16,a16,x48971,x48972,x48971,x48972)),
% 98.67/98.76     inference(rename_variables,[],[4703])).
% 98.67/98.76  cnf(4901,plain,
% 98.67/98.76     (P4(a16,a16,a2,a2)),
% 98.67/98.76     inference(scs_inference,[],[589,4506,4494,4516,4635,4641,4554,4744,4584,4689,4703,4844,4847,4850,4897,4546,4576,4578,4618,4657,4663,4671,4673,4693,4727,4746,4777,4637,4717,4772,4588,294,4560,4498,4620,4502,174,157,168,261,155,156,228,260,230,173,164,175,263,160,169,262,229,167,171,158,170,172,256,259,257,258,192,250,251,254,204,194,180,205,203,197,266,198,207,195,208,227,182,202,181,201,209,193,247,188,244,245,243,196,255])).
% 98.67/98.76  cnf(4904,plain,
% 98.67/98.76     (P3(f24(a16,x49041),a16,x49041)),
% 98.67/98.76     inference(scs_inference,[],[589,4506,4494,4516,4635,4641,4554,4744,4584,4689,4703,4844,4847,4850,4897,4546,4576,4578,4618,4657,4663,4671,4673,4693,4727,4746,4777,4637,4717,4772,4588,294,4560,4498,4620,4502,174,157,168,261,155,156,228,260,230,173,164,175,263,160,169,262,229,167,171,158,170,172,256,259,257,258,192,250,251,254,204,194,180,205,203,197,266,198,207,195,208,227,182,202,181,201,209,193,247,188,244,245,243,196,255,163])).
% 98.67/98.76  cnf(4906,plain,
% 98.67/98.76     (P10(a2,a16,a21,a17)),
% 98.67/98.76     inference(scs_inference,[],[589,4506,4494,4516,4635,4641,4554,4744,4584,4689,4703,4844,4847,4850,4897,4546,4576,4578,4618,4657,4663,4671,4673,4693,4727,4746,4777,4637,4717,4772,4588,294,4560,4498,4620,4502,174,157,168,261,155,156,228,260,230,173,164,175,263,160,169,262,229,167,171,158,170,172,256,259,257,258,192,250,251,254,204,194,180,205,203,197,266,198,207,195,208,227,182,202,181,201,209,193,247,188,244,245,243,196,255,163,707])).
% 98.67/98.76  cnf(4910,plain,
% 98.67/98.76     (P9(f7(a16,a16,a16,a2),a16,a16,a2)),
% 98.67/98.76     inference(scs_inference,[],[589,4506,4494,4516,4635,4641,4554,4744,4584,4689,4703,4844,4847,4850,4897,4546,4576,4578,4618,4657,4663,4671,4673,4693,4727,4746,4777,4637,4717,4772,4588,294,4560,4498,4620,4502,174,157,168,261,155,156,228,260,230,173,164,175,263,160,169,262,229,167,171,158,170,172,256,259,257,258,192,250,251,254,204,194,180,205,203,197,266,198,207,195,208,227,182,202,181,201,209,193,247,188,244,245,243,196,255,163,707,1611,191])).
% 98.67/98.76  cnf(4912,plain,
% 98.67/98.76     (P10(x49121,x49122,x49121,x49122)),
% 98.67/98.76     inference(scs_inference,[],[589,4506,4494,4516,4635,4641,4554,4744,4584,4689,4703,4844,4847,4850,4897,4546,4576,4578,4618,4657,4663,4671,4673,4693,4727,4746,4777,4637,4717,4772,4588,294,4560,4498,4620,4502,174,157,168,261,155,156,228,260,230,173,164,175,263,160,169,262,229,167,171,158,170,172,256,259,257,258,192,250,251,254,204,194,180,205,203,197,266,198,207,195,208,227,182,202,181,201,209,193,247,188,244,245,243,196,255,163,707,1611,191,237])).
% 98.67/98.76  cnf(4924,plain,
% 98.67/98.76     (P1(a16,a22,a15)),
% 98.67/98.76     inference(scs_inference,[],[4791,4904,157,155])).
% 98.67/98.76  cnf(4926,plain,
% 98.67/98.76     (P10(x49261,x49262,x49262,x49261)),
% 98.67/98.76     inference(scs_inference,[],[4912,4791,4904,157,155,168])).
% 98.67/98.76  cnf(4934,plain,
% 98.67/98.76     (P1(a22,a15,a16)),
% 98.67/98.76     inference(scs_inference,[],[4912,4752,4639,4791,4815,4904,157,155,168,230,261,228,156])).
% 98.67/98.76  cnf(4936,plain,
% 98.67/98.76     (P1(x49361,x49362,x49362)),
% 98.67/98.76     inference(scs_inference,[],[4912,4752,4639,4791,4815,4904,157,155,168,230,261,228,156,164])).
% 98.67/98.76  cnf(4940,plain,
% 98.67/98.76     (P7(a2,a21,a2,a21,a21,a16,a21,a16)),
% 98.67/98.76     inference(scs_inference,[],[4912,4752,4639,4679,4791,4815,4904,157,155,168,230,261,228,156,164,260,263])).
% 98.67/98.76  cnf(4942,plain,
% 98.67/98.76     (P7(a21,a2,a21,a16,a2,a21,a21,a16)),
% 98.67/98.76     inference(scs_inference,[],[4912,4752,4639,4679,4791,4815,4904,157,155,168,230,261,228,156,164,260,263,262])).
% 98.67/98.76  cnf(4948,plain,
% 98.67/98.76     (P8(x49481,x49482,x49483,x49484,x49481,x49482,x49483,x49484)),
% 98.67/98.76     inference(scs_inference,[],[4912,4779,4752,4639,4679,4791,4815,4904,157,155,168,230,261,228,156,164,260,263,262,160,169,229])).
% 98.67/98.76  cnf(4950,plain,
% 98.67/98.76     (P4(a22,a15,a22,a16)),
% 98.67/98.76     inference(scs_inference,[],[4912,4779,4752,4639,4679,4791,4815,4904,157,155,168,230,261,228,156,164,260,263,262,160,169,229,171])).
% 98.67/98.76  cnf(4952,plain,
% 98.67/98.76     (P10(a21,a17,a2,a16)),
% 98.67/98.76     inference(scs_inference,[],[4912,4779,4752,4639,4679,4791,4815,4906,4904,157,155,168,230,261,228,156,164,260,263,262,160,169,229,171,167])).
% 98.67/98.76  cnf(4954,plain,
% 98.67/98.76     (P3(f24(a16,x49541),x49541,a16)),
% 98.67/98.76     inference(scs_inference,[],[4912,4779,4752,4639,4679,4791,4815,4906,4904,157,155,168,230,261,228,156,164,260,263,262,160,169,229,171,167,158])).
% 98.67/98.76  cnf(4956,plain,
% 98.67/98.76     (P9(a2,a16,a16,a2)),
% 98.67/98.76     inference(scs_inference,[],[4912,4779,4752,4639,4679,4791,4815,4894,4906,4904,157,155,168,230,261,228,156,164,260,263,262,160,169,229,171,167,158,170])).
% 98.67/98.76  cnf(4958,plain,
% 98.67/98.76     (P4(a22,a16,a15,a22)),
% 98.67/98.76     inference(scs_inference,[],[4912,4779,4752,4639,4679,4791,4815,4894,4906,4904,157,155,168,230,261,228,156,164,260,263,262,160,169,229,171,167,158,170,172])).
% 98.67/98.76  cnf(4960,plain,
% 98.67/98.76     (P8(x49601,x49602,a16,a16,x49602,x49601,a21,a21)),
% 98.67/98.76     inference(scs_inference,[],[4912,4779,4752,4639,4839,4679,4791,4815,4894,4906,4904,157,155,168,230,261,228,156,164,260,263,262,160,169,229,171,167,158,170,172,256])).
% 98.67/98.76  cnf(4962,plain,
% 98.67/98.76     (P8(a21,a2,a21,a2,x49621,x49622,x49621,x49622)),
% 98.67/98.76     inference(scs_inference,[],[4912,4779,4752,4639,4821,4839,4679,4791,4815,4894,4906,4904,157,155,168,230,261,228,156,164,260,263,262,160,169,229,171,167,158,170,172,256,259])).
% 98.67/98.76  cnf(4985,plain,
% 98.67/98.76     (P3(f27(a16,a16,a16,a16,a16,a16),a16,a16)),
% 98.67/98.76     inference(scs_inference,[],[4912,4779,4752,4639,4821,4835,4839,4679,4791,4815,4888,4894,4896,4906,4904,4856,4785,4426,4444,4562,4472,4746,157,155,168,230,261,228,156,164,260,263,262,160,169,229,171,167,158,170,172,256,259,257,258,249,251,253,205,194,198,240,197,207])).
% 98.67/98.76  cnf(4994,plain,
% 98.67/98.76     (P1(f5(a2,a2,a16),a16,a2)),
% 98.67/98.76     inference(scs_inference,[],[608,4912,4779,4752,4639,4661,4821,4833,4835,4839,4679,4791,4815,4888,4894,4896,4906,4904,4856,4785,4426,4444,4562,4472,4746,157,155,168,230,261,228,156,164,260,263,262,160,169,229,171,167,158,170,172,256,259,257,258,249,251,253,205,194,198,240,197,207,208,266,195,182])).
% 98.67/98.76  cnf(4998,plain,
% 98.67/98.76     (P4(a2,a21,a21,a2)),
% 98.67/98.76     inference(scs_inference,[],[608,4912,4779,4752,4639,4661,4821,4833,4835,4839,4679,4791,4813,4815,4888,4894,4896,4906,4904,4856,4785,4426,4444,4562,4472,4727,4746,145,157,155,168,230,261,228,156,164,260,263,262,160,169,229,171,167,158,170,172,256,259,257,258,249,251,253,205,194,198,240,197,207,208,266,195,182,209,247])).
% 98.67/98.76  cnf(5006,plain,
% 98.67/98.76     (P2(a22,a16,a15,a15)),
% 98.67/98.76     inference(scs_inference,[],[608,4912,4779,4752,4639,4661,4821,4833,4835,4839,4679,4791,4813,4815,4888,4894,4896,4906,4904,4856,4785,4426,4444,4562,4472,4727,4746,145,157,155,168,230,261,228,156,164,260,263,262,160,169,229,171,167,158,170,172,256,259,257,258,249,251,253,205,194,198,240,197,207,208,266,195,182,209,247,227,193,181,188])).
% 98.67/98.76  cnf(5012,plain,
% 98.67/98.76     (P8(x50121,x50122,a21,a21,x50122,x50121,a16,a16)),
% 98.67/98.76     inference(rename_variables,[],[4839])).
% 98.67/98.76  cnf(5016,plain,
% 98.67/98.76     (P9(a20,a20,a21,a21)),
% 98.67/98.76     inference(scs_inference,[],[608,4912,4779,4752,4639,4661,4821,4833,4835,4839,5012,4679,4791,4813,4815,4888,4890,4894,4896,4906,4904,4856,4721,4785,4426,4444,4562,4472,4727,4746,145,157,155,168,230,261,228,156,164,260,263,262,160,169,229,171,167,158,170,172,256,259,257,258,249,251,253,205,194,198,240,197,207,208,266,195,182,209,247,227,193,181,188,231,244,185,245])).
% 98.67/98.76  cnf(5019,plain,
% 98.67/98.76     (P4(a16,a16,a19,a19)),
% 98.67/98.76     inference(scs_inference,[],[608,4912,4779,4752,4639,4643,4661,4821,4833,4835,4839,5012,4679,4791,4813,4815,4888,4890,4894,4896,4906,4904,4856,4721,4785,4703,4426,4444,4562,4472,4727,4746,145,157,155,168,230,261,228,156,164,260,263,262,160,169,229,171,167,158,170,172,256,259,257,258,249,251,253,205,194,198,240,197,207,208,266,195,182,209,247,227,193,181,188,231,244,185,245,255])).
% 98.67/98.76  cnf(5026,plain,
% 98.67/98.76     (P7(a22,a15,a15,a16,a22,a15,a15,a16)),
% 98.67/98.76     inference(scs_inference,[],[608,4912,4779,4752,4639,4643,4661,4821,4833,4835,4839,5012,4679,4791,4813,4815,4888,4890,4894,4896,4906,4904,4856,4721,4785,4703,4558,4426,4444,4562,4472,4727,4746,145,157,155,168,230,261,228,156,164,260,263,262,160,169,229,171,167,158,170,172,256,259,257,258,249,251,253,205,194,198,240,197,207,208,266,195,182,209,247,227,193,181,188,231,244,185,245,255,210,211,1506])).
% 98.67/98.76  cnf(5032,plain,
% 98.67/98.76     (P9(a20,a20,a20,a20)),
% 98.67/98.76     inference(scs_inference,[],[608,4912,4779,4752,4639,4643,4661,4821,4833,4835,4839,5012,4679,4791,4813,4815,4888,4890,4894,4896,4906,4904,4856,4721,4785,4703,4558,4426,4444,4562,4472,4727,4746,145,157,155,168,230,261,228,156,164,260,263,262,160,169,229,171,167,158,170,172,256,259,257,258,249,251,253,205,194,198,240,197,207,208,266,195,182,209,247,227,193,181,188,231,244,185,245,255,210,211,1506,1214,655,1273])).
% 98.67/98.76  cnf(5034,plain,
% 98.67/98.76     (P9(a22,a22,a20,a20)),
% 98.67/98.76     inference(scs_inference,[],[608,4912,4779,4752,4639,4643,4661,4821,4833,4835,4839,5012,4679,4791,4813,4815,4888,4890,4894,4896,4906,4904,4856,4721,4785,4703,4558,4426,4444,4562,4472,4727,4746,145,157,155,168,230,261,228,156,164,260,263,262,160,169,229,171,167,158,170,172,256,259,257,258,249,251,253,205,194,198,240,197,207,208,266,195,182,209,247,227,193,181,188,231,244,185,245,255,210,211,1506,1214,655,1273,1177])).
% 98.67/98.76  cnf(5042,plain,
% 98.67/98.76     (P9(f7(a16,a15,a15,a22),a16,a16,a22)),
% 98.67/98.76     inference(scs_inference,[],[608,4912,4779,4752,4639,4643,4661,4821,4833,4835,4839,5012,4679,4791,4813,4815,4888,4890,4894,4896,4906,4904,4856,4721,4785,4703,4558,4426,4444,4562,4472,4727,4746,145,157,155,168,230,261,228,156,164,260,263,262,160,169,229,171,167,158,170,172,256,259,257,258,249,251,253,205,194,198,240,197,207,208,266,195,182,209,247,227,193,181,188,231,244,185,245,255,210,211,1506,1214,655,1273,1177,174,1145,173,191])).
% 98.67/98.76  cnf(5063,plain,
% 98.67/98.76     (P10(a17,a1,a20,a17)),
% 98.67/98.76     inference(scs_inference,[],[4926,498])).
% 98.67/98.76  cnf(5064,plain,
% 98.67/98.76     (P10(x50641,x50642,x50642,x50641)),
% 98.67/98.76     inference(rename_variables,[],[4926])).
% 98.67/98.76  cnf(5066,plain,
% 98.67/98.76     (P10(a21,a17,a16,a2)),
% 98.67/98.76     inference(scs_inference,[],[4926,4952,498,168])).
% 98.67/98.76  cnf(5068,plain,
% 98.67/98.76     (P7(a2,a16,a2,a19,a2,a16,a2,a19)),
% 98.67/98.76     inference(scs_inference,[],[4926,4592,4952,498,168,261])).
% 98.67/98.76  cnf(5072,plain,
% 98.67/98.76     (P1(x50721,x50722,x50721)),
% 98.67/98.76     inference(scs_inference,[],[4926,4936,4592,4952,4954,498,168,261,157,155])).
% 98.67/98.76  cnf(5076,plain,
% 98.67/98.76     (P1(a17,a17,a22)),
% 98.67/98.76     inference(scs_inference,[],[4926,4936,4592,4797,4950,4952,4954,498,168,261,157,155,230,156])).
% 98.67/98.76  cnf(5084,plain,
% 98.67/98.76     (P7(a2,a19,a2,a19,a2,a16,a2,a16)),
% 98.67/98.76     inference(scs_inference,[],[4926,4936,4681,4592,4795,4797,4950,4952,4954,498,168,261,157,155,230,156,160,228,260,263])).
% 98.67/98.76  cnf(5088,plain,
% 98.67/98.76     (P7(a16,a2,a21,a2,a2,a16,a21,a2)),
% 98.67/98.76     inference(scs_inference,[],[4926,4936,4624,4681,4548,4592,4795,4797,4950,4952,4954,498,168,261,157,155,230,156,160,228,260,263,169,262])).
% 98.67/98.76  cnf(5090,plain,
% 98.67/98.76     (P10(a15,a15,f27(a2,a16,a2,a16,a21,a21),a21)),
% 98.67/98.76     inference(scs_inference,[],[4926,4936,4624,4681,4548,4592,4795,4797,4950,4952,4500,4954,498,168,261,157,155,230,156,160,228,260,263,169,262,167])).
% 98.67/98.76  cnf(5092,plain,
% 98.67/98.76     (P8(x50921,x50922,x50923,x50924,x50922,x50921,x50923,x50924)),
% 98.67/98.76     inference(scs_inference,[],[4926,5064,4936,4624,4681,4548,4592,4795,4797,4950,4952,4500,4954,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229])).
% 98.67/98.76  cnf(5096,plain,
% 98.67/98.76     (P3(f27(a16,a15,a16,a15,a22,a22),a15,a16)),
% 98.67/98.76     inference(scs_inference,[],[4926,5064,4936,4624,4681,4548,4592,4795,4797,4831,4950,4952,4500,4954,4868,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229,171,158])).
% 98.67/98.76  cnf(5098,plain,
% 98.67/98.76     (P9(f7(a16,a16,a16,a2),a16,a2,a16)),
% 98.67/98.76     inference(scs_inference,[],[4926,5064,4936,4624,4681,4548,4592,4795,4797,4831,4950,4952,4500,4910,4954,4868,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229,171,158,170])).
% 98.67/98.76  cnf(5100,plain,
% 98.67/98.76     (P4(a22,a15,a16,a22)),
% 98.67/98.76     inference(scs_inference,[],[4926,5064,4936,4624,4681,4548,4592,4795,4797,4831,4950,4952,4500,4910,4954,4868,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229,171,158,170,172])).
% 98.67/98.76  cnf(5104,plain,
% 98.67/98.76     (P8(x51041,x51042,x51041,x51042,x51043,x51044,x51043,x51044)),
% 98.67/98.76     inference(scs_inference,[],[4926,5064,4948,4936,4624,4681,4962,4548,4592,4795,4797,4831,4950,4952,4500,4910,4954,4868,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229,171,158,170,172,256,259])).
% 98.67/98.76  cnf(5106,plain,
% 98.67/98.76     (P8(a16,a16,x51061,x51062,a21,a21,x51062,x51061)),
% 98.67/98.76     inference(scs_inference,[],[4926,5064,4948,4936,4624,4681,4960,4962,4548,4592,4795,4797,4831,4950,4952,4500,4910,4954,4868,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229,171,158,170,172,256,259,257])).
% 98.67/98.76  cnf(5111,plain,
% 98.67/98.76     (P8(x51111,x51112,x51113,x51114,x51111,x51112,x51113,x51114)),
% 98.67/98.76     inference(rename_variables,[],[4948])).
% 98.67/98.76  cnf(5116,plain,
% 98.67/98.76     (P8(x51161,x51162,x51163,x51164,x51161,x51162,x51163,x51164)),
% 98.67/98.76     inference(rename_variables,[],[4948])).
% 98.67/98.76  cnf(5124,plain,
% 98.67/98.76     (P5(x51241,x51242,x51242,x51242)),
% 98.67/98.76     inference(scs_inference,[],[4926,5064,4948,5111,5116,4936,4624,4681,5032,4960,4962,4548,4592,4795,4797,4831,4950,4952,4956,4500,4910,4870,4954,4868,4896,4727,4620,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229,171,158,170,172,256,259,257,258,246,254,250,204,177,203,240])).
% 98.67/98.76  cnf(5125,plain,
% 98.67/98.76     (P8(x51251,x51252,x51253,x51254,x51251,x51252,x51253,x51254)),
% 98.67/98.76     inference(rename_variables,[],[4948])).
% 98.67/98.76  cnf(5126,plain,
% 98.67/98.76     (P1(x51261,x51262,x51262)),
% 98.67/98.76     inference(rename_variables,[],[4936])).
% 98.67/98.76  cnf(5134,plain,
% 98.67/98.76     (P3(f27(a2,a15,a2,a15,a20,a20),a2,a15)),
% 98.67/98.76     inference(scs_inference,[],[4926,5064,4948,5111,5116,4936,4781,4624,4681,5032,4960,4962,4548,4592,4795,4797,4831,4950,4952,4956,4500,4910,4870,4954,4868,4896,4727,4620,145,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229,171,158,170,172,256,259,257,258,246,254,250,204,177,203,240,208,194,197,207])).
% 98.67/98.76  cnf(5136,plain,
% 98.67/98.76     (P2(f8(a20,a20,a20),a20,a20,a20)),
% 98.67/98.76     inference(scs_inference,[],[4926,5064,4948,5111,5116,4936,4781,4624,4681,5032,4960,4962,4548,4592,4795,4797,4831,4950,4952,4956,4500,4910,4870,4954,4868,4896,4727,4620,145,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229,171,158,170,172,256,259,257,258,246,254,250,204,177,203,240,208,194,197,207,195])).
% 98.67/98.76  cnf(5140,plain,
% 98.67/98.76     (P4(a19,a2,a19,a2)),
% 98.67/98.76     inference(scs_inference,[],[4926,5064,4948,5111,5116,4936,4781,4624,4681,5032,4960,4962,4548,4592,4795,4797,4831,4950,4952,4956,4500,4910,4870,4954,4868,4478,4418,4896,4727,4620,145,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229,171,158,170,172,256,259,257,258,246,254,250,204,177,203,240,208,194,197,207,195,182,247])).
% 98.67/98.76  cnf(5148,plain,
% 98.67/98.76     (P9(f12(a20,a20,a20,x51481,x51481),a20,x51481,x51481)),
% 98.67/98.76     inference(scs_inference,[],[4926,5064,4948,5111,5116,4936,5126,4781,4624,4681,5032,4960,4962,4548,4592,4795,4797,4831,4950,4952,4956,4500,4910,4870,4954,4868,4460,4478,4418,4896,4727,4620,145,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229,171,158,170,172,256,259,257,258,246,254,250,204,177,203,240,208,194,197,207,195,182,247,193,227,186,202])).
% 98.67/98.76  cnf(5149,plain,
% 98.67/98.76     (P1(x51491,x51492,x51492)),
% 98.67/98.76     inference(rename_variables,[],[4936])).
% 98.67/98.76  cnf(5151,plain,
% 98.67/98.76     (P9(a16,a15,a15,a15)),
% 98.67/98.76     inference(scs_inference,[],[4926,5064,4948,5111,5116,4936,5126,4781,4624,4681,5032,4960,4962,4548,4592,4795,4797,4831,4950,4952,4956,5006,4500,4910,4870,4954,4868,4460,4478,4418,4896,4791,4727,4620,145,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229,171,158,170,172,256,259,257,258,246,254,250,204,177,203,240,208,194,197,207,195,182,247,193,227,186,202,176])).
% 98.67/98.76  cnf(5153,plain,
% 98.67/98.76     (P2(a22,a15,a16,a16)),
% 98.67/98.76     inference(scs_inference,[],[4926,5064,4948,5111,5116,4936,5126,4781,4624,4681,5032,4960,4962,4548,4592,4795,4797,4831,4950,4952,4956,5006,4500,4910,4870,4954,4868,4460,4478,4418,4896,4791,4727,4620,145,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229,171,158,170,172,256,259,257,258,246,254,250,204,177,203,240,208,194,197,207,195,182,247,193,227,186,202,176,188])).
% 98.67/98.76  cnf(5155,plain,
% 98.67/98.76     (P1(f4(a2,a16,a2),a2,a16)),
% 98.67/98.76     inference(scs_inference,[],[4926,5064,4948,5111,5116,4936,5126,4781,4624,4681,5032,4960,4962,4548,4592,4795,4797,4831,4950,4952,4956,5006,4500,4910,4870,4954,4868,4460,4478,4418,4896,4791,4727,4620,145,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229,171,158,170,172,256,259,257,258,246,254,250,204,177,203,240,208,194,197,207,195,182,247,193,227,186,202,176,188,181])).
% 98.67/98.76  cnf(5160,plain,
% 98.67/98.76     (P3(f24(a16,x51601),x51601,a16)),
% 98.67/98.76     inference(rename_variables,[],[4954])).
% 98.67/98.76  cnf(5164,plain,
% 98.67/98.76     (P9(a16,a2,a16,a16)),
% 98.67/98.76     inference(scs_inference,[],[4926,5064,4948,5111,5116,4936,5126,4781,4624,4622,4681,5032,4960,4962,4548,4592,4795,4797,4831,4950,4952,4956,5006,4500,4910,4870,4954,4868,4460,4478,4418,4693,4896,4791,4727,4620,145,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229,171,158,170,172,256,259,257,258,246,254,250,204,177,203,240,208,194,197,207,195,182,247,193,227,186,202,176,188,181,185,231,183,245])).
% 98.67/98.76  cnf(5167,plain,
% 98.67/98.76     (P3(f6(a2,a16,a16),a2,a16)),
% 98.67/98.76     inference(scs_inference,[],[4926,5064,4948,5111,5116,4936,5126,4781,4624,4622,4681,5032,4960,4962,4548,4592,4795,4797,4831,4950,4952,4956,5006,4500,4910,4870,4954,5160,4868,4460,4478,4418,4693,4896,4791,4727,4894,4620,145,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229,171,158,170,172,256,259,257,258,246,254,250,204,177,203,240,208,194,197,207,195,182,247,193,227,186,202,176,188,181,185,231,183,245,190])).
% 98.67/98.76  cnf(5168,plain,
% 98.67/98.76     (P3(f24(a16,x51681),x51681,a16)),
% 98.67/98.76     inference(rename_variables,[],[4954])).
% 98.67/98.76  cnf(5170,plain,
% 98.67/98.76     (P3(a2,a2,a2)),
% 98.67/98.76     inference(scs_inference,[],[4926,5064,4948,5111,5116,4936,5126,5149,4781,4624,4622,4681,5032,4960,4962,4548,4592,4795,4797,4831,4950,4952,4956,5006,4500,4910,4870,4954,5160,4868,4610,4460,4478,4418,4693,4896,4791,4727,4894,4620,145,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229,171,158,170,172,256,259,257,258,246,254,250,204,177,203,240,208,194,197,207,195,182,247,193,227,186,202,176,188,181,185,231,183,245,190,243])).
% 98.67/98.76  cnf(5171,plain,
% 98.67/98.76     (P1(x51711,x51712,x51712)),
% 98.67/98.76     inference(rename_variables,[],[4936])).
% 98.67/98.76  cnf(5173,plain,
% 98.67/98.76     (P3(a15,a2,a15)),
% 98.67/98.76     inference(scs_inference,[],[4926,5064,4948,5111,5116,4936,5126,5149,4781,4624,4622,4681,5032,4960,4962,4548,4592,4795,4797,4799,4831,4950,4952,4956,5006,4500,4910,4870,4954,5160,4868,4610,4460,4478,4418,4693,4912,4896,4791,4727,4894,4620,145,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229,171,158,170,172,256,259,257,258,246,254,250,204,177,203,240,208,194,197,207,195,182,247,193,227,186,202,176,188,181,185,231,183,245,190,243,166])).
% 98.67/98.76  cnf(5174,plain,
% 98.67/98.76     (P10(x51741,x51742,x51741,x51742)),
% 98.67/98.76     inference(rename_variables,[],[4912])).
% 98.67/98.76  cnf(5179,plain,
% 98.67/98.76     (P1(a1,x51791,f13(a2,a2,a15,a15,a1,x51791))),
% 98.67/98.76     inference(scs_inference,[],[142,4926,5064,4948,5111,5116,4936,5126,5149,5171,4781,4624,4622,4681,5032,4960,4962,4548,4592,4795,4797,4799,4831,4950,4952,4956,5006,4500,4811,4910,4870,4954,5160,4868,4610,4460,4478,4418,4693,4703,4912,4896,4791,4727,4894,4620,284,145,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229,171,158,170,172,256,259,257,258,246,254,250,204,177,203,240,208,194,197,207,195,182,247,193,227,186,202,176,188,181,185,231,183,245,190,243,166,255,210])).
% 98.67/98.76  cnf(5180,plain,
% 98.67/98.76     (P1(x51801,x51802,x51802)),
% 98.67/98.76     inference(rename_variables,[],[4936])).
% 98.67/98.76  cnf(5182,plain,
% 98.67/98.76     (P3(f24(a21,x51821),a21,x51821)),
% 98.67/98.76     inference(scs_inference,[],[142,4926,5064,4948,5111,5116,4936,5126,5149,5171,4781,4624,4622,4681,5032,4960,4962,4548,4592,4795,4797,4799,4831,4950,4952,4956,5006,4500,4811,4910,4870,4954,5160,5168,4868,4610,4460,4478,4418,4693,4703,4663,4912,4896,4791,4727,4894,4620,284,145,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229,171,158,170,172,256,259,257,258,246,254,250,204,177,203,240,208,194,197,207,195,182,247,193,227,186,202,176,188,181,185,231,183,245,190,243,166,255,210,163])).
% 98.67/98.76  cnf(5188,plain,
% 98.67/98.76     (P9(a21,a21,a21,a21)),
% 98.67/98.76     inference(scs_inference,[],[142,4926,5064,4948,5111,5116,4936,5126,5149,5171,4781,4624,4622,4681,5032,4960,4962,4548,4592,4795,4797,4799,4831,4950,4952,4956,5006,4500,4811,4910,4870,4954,5160,5168,4868,4610,4460,4478,4418,4693,4703,4663,4912,4896,4791,4727,4894,4620,284,145,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229,171,158,170,172,256,259,257,258,246,254,250,204,177,203,240,208,194,197,207,195,182,247,193,227,186,202,176,188,181,185,231,183,245,190,243,166,255,210,163,4649,707,1214])).
% 98.67/98.76  cnf(5192,plain,
% 98.67/98.76     (P9(a22,a22,a21,a21)),
% 98.67/98.76     inference(scs_inference,[],[142,4926,5064,4948,5111,5116,4936,5126,5149,5171,4781,4624,4622,4681,5032,4960,4962,4548,4592,4795,4797,4799,4831,4950,4952,4956,5006,4500,4811,4910,4870,4954,5160,5168,4868,4610,4460,4478,4418,4693,4703,4663,4912,4896,4791,4727,4894,4620,284,145,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229,171,158,170,172,256,259,257,258,246,254,250,204,177,203,240,208,194,197,207,195,182,247,193,227,186,202,176,188,181,185,231,183,245,190,243,166,255,210,163,4649,707,1214,445,1177])).
% 98.67/98.76  cnf(5194,plain,
% 98.67/98.76     (P9(f7(a15,a16,a16,a22),a15,a15,a22)),
% 98.67/98.76     inference(scs_inference,[],[142,4926,5064,4948,5111,5116,4936,5126,5149,5171,4781,4624,4622,4681,5032,4960,4962,4548,4592,4795,4797,4799,4831,4950,4952,4956,5006,4500,4811,4910,4870,4954,5160,5168,4868,4610,4460,4478,4418,4693,4703,4663,4912,4896,4791,4727,4894,4620,284,145,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229,171,158,170,172,256,259,257,258,246,254,250,204,177,203,240,208,194,197,207,195,182,247,193,227,186,202,176,188,181,185,231,183,245,190,243,166,255,210,163,4649,707,1214,445,1177,191])).
% 98.67/98.76  cnf(5200,plain,
% 98.67/98.76     (P8(a16,a2,a16,a16,a16,a16,a16,a16)),
% 98.67/98.76     inference(scs_inference,[],[142,4926,5064,4948,5111,5116,4936,5126,5149,5171,4781,4624,4622,4681,5032,4960,4962,4548,4592,4795,4797,4799,4831,4950,4952,4956,5006,4500,4811,4910,4870,4954,5160,5168,4868,4610,4460,2024,4478,4418,4693,4890,4703,4663,4912,4896,4791,4727,4894,4620,284,145,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229,171,158,170,172,256,259,257,258,246,254,250,204,177,203,240,208,194,197,207,195,182,247,193,227,186,202,176,188,181,185,231,183,245,190,243,166,255,210,163,4649,707,1214,445,1177,191,1145,225,233])).
% 98.67/98.76  cnf(5207,plain,
% 98.67/98.76     (P1(f25(a16,a16,a16,a2),a16,a2)),
% 98.67/98.76     inference(scs_inference,[],[142,4926,5064,4948,5111,5116,5125,4936,5126,5149,5171,4781,4624,4622,4681,5032,4960,4962,4548,4592,4795,4797,4799,4831,4950,4952,4956,5006,4500,4811,4910,4870,4954,5160,5168,4868,4610,4460,2024,4478,4418,4888,4693,4890,4703,4663,4912,4896,4791,4727,4894,4620,4746,284,145,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229,171,158,170,172,256,259,257,258,246,254,250,204,177,203,240,208,194,197,207,195,182,247,193,227,186,202,176,188,181,185,231,183,245,190,243,166,255,210,163,4649,707,1214,445,1177,191,1145,225,233,251,205,198])).
% 98.67/98.76  cnf(5209,plain,
% 98.67/98.76     (P10(f27(a2,a2,a2,a2,a2,a2),a2,a2,a2)),
% 98.67/98.76     inference(scs_inference,[],[142,4926,5064,4948,5111,5116,5125,4936,5126,5149,5171,4781,4624,4622,4681,5032,4960,4962,4548,4592,4795,4797,4799,4831,4950,4952,4956,5006,4500,4811,4910,4870,4954,5160,5168,4868,4610,4460,2024,4478,4418,4888,4693,4890,4703,4663,4912,4896,4791,4727,4894,4620,4746,284,145,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229,171,158,170,172,256,259,257,258,246,254,250,204,177,203,240,208,194,197,207,195,182,247,193,227,186,202,176,188,181,185,231,183,245,190,243,166,255,210,163,4649,707,1214,445,1177,191,1145,225,233,251,205,198,209])).
% 98.67/98.76  cnf(5212,plain,
% 98.67/98.76     (P10(x52121,x52122,x52121,x52122)),
% 98.67/98.76     inference(rename_variables,[],[4912])).
% 98.67/98.76  cnf(5213,plain,
% 98.67/98.76     (P10(x52131,x52132,x52132,x52131)),
% 98.67/98.76     inference(rename_variables,[],[4926])).
% 98.67/98.76  cnf(5214,plain,
% 98.67/98.76     (P1(x52141,x52142,x52142)),
% 98.67/98.76     inference(rename_variables,[],[4936])).
% 98.67/98.76  cnf(5223,plain,
% 98.67/98.76     (P10(a16,a2,a16,a16)),
% 98.67/98.76     inference(scs_inference,[],[142,4926,5064,5213,4948,5111,5116,5125,4936,5126,5149,5171,5180,5214,4781,4624,4622,4681,5032,4960,4962,4548,4592,4795,4797,4799,4831,4950,4952,4956,5006,4500,4811,4910,4870,4954,5160,5168,4868,4610,4460,2024,4478,4418,4888,4693,4890,4703,4663,4912,5174,5212,4896,4791,4727,4894,4620,4746,284,145,498,168,261,157,155,230,156,160,228,260,263,169,262,167,229,171,158,170,172,256,259,257,258,246,254,250,204,177,203,240,208,194,197,207,195,182,247,193,227,186,202,176,188,181,185,231,183,245,190,243,166,255,210,163,4649,707,1214,445,1177,191,1145,225,233,251,205,198,209,213,212,471,237])).
% 98.67/98.76  cnf(5227,plain,
% 98.67/98.76     (P7(a16,a22,a22,a16,a16,a22,a22,a16)),
% 98.67/98.76     inference(scs_inference,[],[5072,1589])).
% 98.67/98.76  cnf(5228,plain,
% 98.67/98.76     (P1(x52281,x52282,x52281)),
% 98.67/98.76     inference(rename_variables,[],[5072])).
% 98.67/98.76  cnf(5230,plain,
% 98.67/98.76     (P7(a16,a20,a20,a16,a16,a20,a20,a16)),
% 98.67/98.76     inference(scs_inference,[],[5072,5228,1589,1600])).
% 98.67/98.76  cnf(5231,plain,
% 98.67/98.76     (P1(x52311,x52312,x52311)),
% 98.67/98.76     inference(rename_variables,[],[5072])).
% 98.67/98.76  cnf(5233,plain,
% 98.67/98.76     (P7(a15,a20,a20,a15,a15,a20,a20,a15)),
% 98.67/98.76     inference(scs_inference,[],[5072,5228,5231,1589,1600,1622])).
% 98.67/98.76  cnf(5234,plain,
% 98.67/98.76     (P1(x52341,x52342,x52341)),
% 98.67/98.76     inference(rename_variables,[],[5072])).
% 98.67/98.76  cnf(5236,plain,
% 98.67/98.76     (P7(a16,a15,a15,a16,a16,a15,a15,a16)),
% 98.67/98.76     inference(scs_inference,[],[5072,5228,5231,5234,1589,1600,1622,1506])).
% 98.67/98.76  cnf(5237,plain,
% 98.67/98.76     (P1(x52371,x52372,x52371)),
% 98.67/98.76     inference(rename_variables,[],[5072])).
% 98.67/98.76  cnf(5239,plain,
% 98.67/98.76     (P7(a16,a21,a21,a16,a16,a21,a21,a16)),
% 98.67/98.76     inference(scs_inference,[],[5072,5228,5231,5234,5237,1589,1600,1622,1506,1611])).
% 98.67/98.76  cnf(5240,plain,
% 98.67/98.76     (P1(x52401,x52402,x52401)),
% 98.67/98.76     inference(rename_variables,[],[5072])).
% 98.67/98.76  cnf(5244,plain,
% 98.67/98.76     (P10(a17,a1,a17,a20)),
% 98.67/98.76     inference(scs_inference,[],[5072,5228,5231,5234,5237,5063,5209,1589,1600,1622,1506,1611,445,168])).
% 98.67/98.76  cnf(5246,plain,
% 98.67/98.76     (P5(x52461,x52462,x52461,x52461)),
% 98.67/98.76     inference(scs_inference,[],[5124,5072,5228,5231,5234,5237,5063,5209,1589,1600,1622,1506,1611,445,168,173])).
% 98.67/98.76  cnf(5248,plain,
% 98.67/98.76     (P1(f24(a21,x52481),a21,x52481)),
% 98.67/98.76     inference(scs_inference,[],[5124,5072,5228,5231,5234,5237,5063,5182,5209,1589,1600,1622,1506,1611,445,168,173,157])).
% 98.67/98.76  cnf(5252,plain,
% 98.67/98.76     (P7(a15,a16,a22,a15,a15,a16,a22,a15)),
% 98.67/98.76     inference(scs_inference,[],[5124,5072,5228,5231,5234,5237,5026,5063,4866,5182,5209,1589,1600,1622,1506,1611,445,168,173,157,155,261])).
% 98.67/98.76  cnf(5254,plain,
% 98.67/98.76     (P1(a17,a1,a20)),
% 98.67/98.76     inference(scs_inference,[],[5124,5072,5228,5231,5234,5237,5026,5063,4866,5182,5209,1589,1600,1622,1506,1611,445,168,173,157,155,261,164])).
% 98.67/98.76  cnf(5258,plain,
% 98.67/98.76     (P1(x52581,x52581,x52582)),
% 98.67/98.76     inference(scs_inference,[],[5124,5072,5228,5231,5234,5237,5240,5026,5063,5170,4866,5182,5209,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156])).
% 98.67/98.76  cnf(5264,plain,
% 98.67/98.76     (P7(a15,a22,a15,a16,a22,a15,a15,a16)),
% 98.67/98.76     inference(scs_inference,[],[5124,5072,5228,5231,5234,5237,5240,5026,4819,5063,5140,5170,4866,5182,5209,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262])).
% 98.67/98.76  cnf(5270,plain,
% 98.67/98.76     (P10(a16,a2,a21,a17)),
% 98.67/98.76     inference(scs_inference,[],[5124,5072,5228,5231,5234,5237,5240,4783,5026,5066,4819,5063,5140,5170,4866,5182,5209,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167])).
% 98.67/98.76  cnf(5276,plain,
% 98.67/98.76     (P8(a16,a16,x52761,x52762,a15,a15,x52761,x52762)),
% 98.67/98.76     inference(scs_inference,[],[5124,5072,5228,5231,5234,5237,5240,4737,4783,5026,5066,4819,4901,5063,5140,5170,4866,5042,5182,5209,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229])).
% 98.67/98.76  cnf(5278,plain,
% 98.67/98.76     (P3(a15,a15,a2)),
% 98.67/98.76     inference(scs_inference,[],[5124,5072,5228,5231,5234,5237,5240,4737,4783,5026,5066,4819,4901,5063,5140,5170,5173,4866,5042,5182,5209,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158])).
% 98.67/98.76  cnf(5280,plain,
% 98.67/98.76     (P4(a2,a21,a2,a21)),
% 98.67/98.76     inference(scs_inference,[],[5124,5072,5228,5231,5234,5237,5240,4737,4783,5026,5066,4819,4901,4998,5063,5140,5170,5173,4866,5042,5182,5209,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172])).
% 98.67/98.76  cnf(5284,plain,
% 98.67/98.76     (P8(x52841,x52842,x52842,x52841,x52843,x52844,x52843,x52844)),
% 98.67/98.76     inference(scs_inference,[],[5092,5124,5072,5228,5231,5234,5237,5240,4737,4783,5026,5066,5106,4819,4901,4998,5063,5140,5170,5173,4866,5042,5182,5209,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172,256,259])).
% 98.67/98.76  cnf(5286,plain,
% 98.67/98.76     (P8(x52861,x52862,x52863,x52864,x52861,x52862,x52864,x52863)),
% 98.67/98.76     inference(scs_inference,[],[5092,5124,5072,5228,5231,5234,5237,5240,4737,4783,5026,5066,5106,4819,4901,4998,5063,5140,5170,5173,4866,5042,5182,5209,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172,256,259,257])).
% 98.67/98.76  cnf(5290,plain,
% 98.67/98.76     (P4(a21,a2,a2,a21)),
% 98.67/98.76     inference(scs_inference,[],[5092,5124,5072,5228,5231,5234,5237,5240,4737,4783,5026,4410,4825,5066,5106,4550,4819,4901,4998,5063,5140,5170,5173,4866,5042,5182,5209,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172,256,259,257,258,187])).
% 98.67/98.76  cnf(5292,plain,
% 98.67/98.76     (P3(a16,a16,f3(a16,a16,a16))),
% 98.67/98.76     inference(scs_inference,[],[5092,5124,5072,5228,5231,5234,5237,5240,4737,4783,5026,4410,4825,5066,5106,4550,4819,4901,4998,5063,5140,5170,5173,4841,4866,5042,5182,5209,4856,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172,256,259,257,258,187,165])).
% 98.67/98.76  cnf(5297,plain,
% 98.67/98.76     (P8(x52971,x52972,x52973,x52974,x52972,x52971,x52973,x52974)),
% 98.67/98.76     inference(rename_variables,[],[5092])).
% 98.67/98.76  cnf(5300,plain,
% 98.67/98.76     (P8(x53001,x53002,x53003,x53004,x53002,x53001,x53003,x53004)),
% 98.67/98.76     inference(rename_variables,[],[5092])).
% 98.67/98.76  cnf(5306,plain,
% 98.67/98.76     (P4(a16,a2,a16,a2)),
% 98.67/98.76     inference(scs_inference,[],[5092,5297,5124,5072,5228,5231,5234,5237,5240,4737,4783,5026,4410,4825,5066,5151,5106,4550,4819,4901,4998,5063,5140,5170,5173,4841,4866,5042,4985,5182,5209,4856,4888,4620,4502,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172,256,259,257,258,187,165,192,253,254,162,204,177])).
% 98.67/98.76  cnf(5309,plain,
% 98.67/98.76     (P8(x53091,x53092,x53091,x53092,x53093,x53094,x53093,x53094)),
% 98.67/98.76     inference(rename_variables,[],[5104])).
% 98.67/98.76  cnf(5322,plain,
% 98.67/98.76     (P5(x53221,x53222,x53222,x53222)),
% 98.67/98.76     inference(rename_variables,[],[5124])).
% 98.67/98.76  cnf(5325,plain,
% 98.67/98.76     (P8(x53251,x53252,x53253,x53254,x53252,x53251,x53253,x53254)),
% 98.67/98.76     inference(rename_variables,[],[5092])).
% 98.67/98.76  cnf(5327,plain,
% 98.67/98.76     (P5(a15,a15,a1,a2)),
% 98.67/98.76     inference(scs_inference,[],[142,5092,5297,5300,5104,5309,5124,5072,5228,5231,5234,5237,5240,4737,4783,5026,4410,4825,5066,5151,5106,4468,4550,4819,4901,4998,5063,5140,5170,5173,5188,4841,4866,5042,4985,5182,5209,4856,4888,4426,4950,4620,4502,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172,256,259,257,258,187,165,192,253,254,162,204,177,251,203,205,194,197,207,195,266,240])).
% 98.67/98.76  cnf(5328,plain,
% 98.67/98.76     (P8(x53281,x53282,x53281,x53282,x53283,x53284,x53283,x53284)),
% 98.67/98.76     inference(rename_variables,[],[5104])).
% 98.67/98.76  cnf(5330,plain,
% 98.67/98.76     (P1(f12(a16,a15,a15,x53301,a15),x53301,a15)),
% 98.67/98.76     inference(scs_inference,[],[142,5092,5297,5300,5104,5309,5124,5072,5228,5231,5234,5237,5240,4737,4783,5026,4410,4825,5066,5151,5106,4468,4550,4819,4901,4998,5063,5140,5170,5173,5188,4841,4866,5042,4985,5182,5209,4856,4888,4426,4950,4620,4502,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172,256,259,257,258,187,165,192,253,254,162,204,177,251,203,205,194,197,207,195,266,240,201])).
% 98.67/98.76  cnf(5331,plain,
% 98.67/98.76     (P1(x53311,x53312,x53311)),
% 98.67/98.76     inference(rename_variables,[],[5072])).
% 98.67/98.76  cnf(5335,plain,
% 98.67/98.76     (P4(a22,a15,a22,a15)),
% 98.67/98.76     inference(scs_inference,[],[142,5092,5297,5300,5104,5309,5124,5072,5228,5231,5234,5237,5240,4737,4783,5026,4410,4825,5066,5151,5106,4468,4550,4819,4901,4998,5063,5140,5170,5173,5188,4841,4866,5042,4985,5182,5209,4856,4888,4426,4950,4620,4502,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172,256,259,257,258,187,165,192,253,254,162,204,177,251,203,205,194,197,207,195,266,240,201,193,247])).
% 98.67/98.76  cnf(5337,plain,
% 98.67/98.76     (P10(f27(a2,a15,a2,a15,a15,a15),a15,a2,a2)),
% 98.67/98.76     inference(scs_inference,[],[142,5092,5297,5300,5104,5309,5124,5072,5228,5231,5234,5237,5240,4737,4783,5026,4410,4825,5066,5151,5106,4468,4550,4819,4901,4998,5063,5140,5170,5173,5188,4841,4866,5042,4985,5182,5209,4856,4888,4426,4950,4620,4502,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172,256,259,257,258,187,165,192,253,254,162,204,177,251,203,205,194,197,207,195,266,240,201,193,247,208])).
% 98.67/98.76  cnf(5339,plain,
% 98.67/98.76     (P10(a2,a2,a21,a21)),
% 98.67/98.76     inference(scs_inference,[],[142,5092,5297,5300,5104,5309,5124,5072,5228,5231,5234,5237,5240,4687,4737,4783,5026,5016,4410,4825,5066,5151,5106,4468,4550,4819,4901,4998,5063,5140,5170,5173,5188,4841,4866,5042,4985,5182,5209,4856,4888,4426,4950,4620,4502,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172,256,259,257,258,187,165,192,253,254,162,204,177,251,203,205,194,197,207,195,266,240,201,193,247,208,184])).
% 98.67/98.76  cnf(5345,plain,
% 98.67/98.76     (P9(a15,a16,a16,a16)),
% 98.67/98.76     inference(scs_inference,[],[142,5092,5297,5300,5104,5309,5124,5072,5228,5231,5234,5237,5240,4687,4737,4783,5026,5016,4410,4825,5066,5151,5106,4468,4550,4819,4901,4998,5063,5140,5153,5170,5173,5188,4841,4866,5042,4985,5182,5209,4827,4934,4856,4888,4426,4950,4620,4502,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172,256,259,257,258,187,165,192,253,254,162,204,177,251,203,205,194,197,207,195,266,240,201,193,247,208,184,178,227,176])).
% 98.67/98.76  cnf(5347,plain,
% 98.67/98.76     (P10(a17,a21,a16,a2)),
% 98.67/98.76     inference(scs_inference,[],[142,5092,5297,5300,5325,5104,5309,5124,5072,5228,5231,5234,5237,5240,4687,4737,4783,5026,5016,4410,4825,5066,5151,5106,4468,4550,4819,4901,4998,5063,5140,5153,5170,5173,5188,4841,4866,5042,4985,5182,5209,4827,4934,4856,4888,4426,4950,4620,4502,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172,256,259,257,258,187,165,192,253,254,162,204,177,251,203,205,194,197,207,195,266,240,201,193,247,208,184,178,227,176,244])).
% 98.67/98.76  cnf(5348,plain,
% 98.67/98.76     (P8(x53481,x53482,x53483,x53484,x53482,x53481,x53483,x53484)),
% 98.67/98.76     inference(rename_variables,[],[5092])).
% 98.67/98.76  cnf(5352,plain,
% 98.67/98.76     (P9(f12(a16,a15,a15,x53521,a15),a16,x53521,a15)),
% 98.67/98.76     inference(scs_inference,[],[142,5092,5297,5300,5325,5104,5309,5124,5072,5228,5231,5234,5237,5240,5331,4687,4737,4783,5026,5016,4410,4825,5066,5151,5106,4468,4550,4819,4901,4998,5063,5140,5153,5170,5173,5188,4841,4866,5042,4985,5182,5209,4827,4934,4856,4888,4426,4950,4620,4502,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172,256,259,257,258,187,165,192,253,254,162,204,177,251,203,205,194,197,207,195,266,240,201,193,247,208,184,178,227,176,244,209,202])).
% 98.67/98.76  cnf(5353,plain,
% 98.67/98.76     (P1(x53531,x53532,x53531)),
% 98.67/98.76     inference(rename_variables,[],[5072])).
% 98.67/98.76  cnf(5355,plain,
% 98.67/98.76     (P2(a19,a2,a2,a2)),
% 98.67/98.76     inference(scs_inference,[],[142,5092,5297,5300,5325,5104,5309,5124,5072,5228,5231,5234,5237,5240,5331,4687,4737,4783,5026,5016,4410,4825,5066,5151,5106,4468,4550,4819,4901,4998,5063,5140,5153,5170,5173,5188,4841,4866,5042,4985,5182,5209,4827,4934,4856,4888,4426,4950,4620,4502,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172,256,259,257,258,187,165,192,253,254,162,204,177,251,203,205,194,197,207,195,266,240,201,193,247,208,184,178,227,176,244,209,202,188])).
% 98.67/98.76  cnf(5357,plain,
% 98.67/98.76     (P9(a19,a19,a2,a2)),
% 98.67/98.76     inference(scs_inference,[],[142,5092,5297,5300,5325,5104,5309,5124,5072,5228,5231,5234,5237,5240,5331,4687,4737,4783,5026,5016,4410,4825,5066,5151,5106,4468,4550,4819,4901,4998,5063,5140,5153,5170,5173,5188,4841,4866,5042,4985,5182,5209,4827,4934,4856,4888,4426,4950,4620,4502,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172,256,259,257,258,187,165,192,253,254,162,204,177,251,203,205,194,197,207,195,266,240,201,193,247,208,184,178,227,176,244,209,202,188,185])).
% 98.67/98.76  cnf(5359,plain,
% 98.67/98.76     (P10(a21,a21,x53591,x53591)),
% 98.67/98.76     inference(scs_inference,[],[142,5092,5297,5300,5325,5104,5309,5124,5072,5228,5231,5234,5237,5240,5331,4687,4737,4783,5026,5016,4410,4825,5066,5151,5106,4468,4550,4819,4901,4998,5063,5140,5153,5170,5173,5188,4841,4866,5042,4985,5182,5209,4827,4934,4856,4888,4426,4950,4620,4502,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172,256,259,257,258,187,165,192,253,254,162,204,177,251,203,205,194,197,207,195,266,240,201,193,247,208,184,178,227,176,244,209,202,188,185,161])).
% 98.67/98.76  cnf(5363,plain,
% 98.67/98.76     (P9(a15,a16,a15,a15)),
% 98.67/98.76     inference(scs_inference,[],[142,5092,5297,5300,5325,5348,5104,5309,5124,5072,5228,5231,5234,5237,5240,5331,4687,4737,4783,5026,5016,4410,4825,5066,5151,5106,4468,4550,4819,4901,4998,5063,5140,5153,5170,5173,5188,4841,4866,5042,4985,5182,5209,4827,4934,4856,4888,4426,4950,4620,4502,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172,256,259,257,258,187,165,192,253,254,162,204,177,251,203,205,194,197,207,195,266,240,201,193,247,208,184,178,227,176,244,209,202,188,185,161,231,245])).
% 98.67/98.76  cnf(5364,plain,
% 98.67/98.76     (P8(x53641,x53642,x53643,x53644,x53642,x53641,x53643,x53644)),
% 98.67/98.76     inference(rename_variables,[],[5092])).
% 98.67/98.76  cnf(5366,plain,
% 98.67/98.76     (P3(a15,a15,a15)),
% 98.67/98.76     inference(scs_inference,[],[142,5092,5297,5300,5325,5348,5104,5309,5328,5124,5072,5228,5231,5234,5237,5240,5331,4687,4737,4783,5026,5016,4410,4825,5066,5151,5106,4468,4550,4819,4901,4998,5063,5140,5153,5170,5173,5188,4841,4866,5042,4985,5182,5209,4827,4934,5006,4856,4888,4426,4950,4620,4502,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172,256,259,257,258,187,165,192,253,254,162,204,177,251,203,205,194,197,207,195,266,240,201,193,247,208,184,178,227,176,244,209,202,188,185,161,231,245,243])).
% 98.67/98.76  cnf(5370,plain,
% 98.67/98.76     (P5(x53701,x53702,x53702,x53702)),
% 98.67/98.76     inference(rename_variables,[],[5124])).
% 98.67/98.76  cnf(5371,plain,
% 98.67/98.76     (P10(x53711,x53712,x53712,x53711)),
% 98.67/98.76     inference(rename_variables,[],[4926])).
% 98.67/98.76  cnf(5373,plain,
% 98.67/98.76     (P3(a17,a2,a2)),
% 98.67/98.76     inference(scs_inference,[],[142,5092,5297,5300,5325,5348,5104,5309,5328,5124,5322,5072,5228,5231,5234,5237,5240,5331,4687,4737,4783,5026,5016,4410,4825,5066,5151,5106,4468,4550,4819,4901,4998,5063,5140,5153,5170,5173,5188,4841,4866,5042,4985,5182,5209,4827,4934,4926,5006,4856,4936,4888,4426,4950,4620,4502,146,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172,256,259,257,258,187,165,192,253,254,162,204,177,251,203,205,194,197,207,195,266,240,201,193,247,208,184,178,227,176,244,209,202,188,185,161,231,245,243,196,166])).
% 98.67/98.76  cnf(5374,plain,
% 98.67/98.76     (P1(x53741,x53742,x53742)),
% 98.67/98.76     inference(rename_variables,[],[4936])).
% 98.67/98.76  cnf(5379,plain,
% 98.67/98.76     (P4(x53791,x53791,x53791,x53791)),
% 98.67/98.76     inference(scs_inference,[],[142,5092,5297,5300,5325,5348,5364,5104,5309,5328,5124,5322,5370,5072,5228,5231,5234,5237,5240,5331,4687,4737,4783,5026,5016,4410,4825,5066,5151,5106,4468,4550,4819,4901,4998,5063,5140,5153,5170,5173,5188,4841,4866,5042,4985,5182,5209,4827,4934,4926,5006,4856,4936,5374,4888,4426,4950,4620,284,4502,146,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172,256,259,257,258,187,165,192,253,254,162,204,177,251,203,205,194,197,207,195,266,240,201,193,247,208,184,178,227,176,244,209,202,188,185,161,231,245,243,196,166,213,255])).
% 98.67/98.76  cnf(5385,plain,
% 98.67/98.76     (P1(x53851,x53852,x53851)),
% 98.67/98.76     inference(rename_variables,[],[5072])).
% 98.67/98.76  cnf(5388,plain,
% 98.67/98.76     (P1(x53881,x53882,x53881)),
% 98.67/98.76     inference(rename_variables,[],[5072])).
% 98.67/98.76  cnf(5391,plain,
% 98.67/98.76     (P3(f24(a2,x53911),a2,x53911)),
% 98.67/98.76     inference(scs_inference,[],[142,5092,5297,5300,5325,5348,5364,5104,5309,5328,5124,5322,5370,5072,5228,5231,5234,5237,5240,5331,5353,5385,5388,4687,4737,4783,5026,5016,4410,4825,5066,5151,5106,4468,4550,4819,4901,4998,5063,5076,5140,5153,5170,5173,5188,4841,4866,5042,4985,5182,5209,4827,4934,4926,5371,5006,4856,4936,5374,4888,4426,4950,4620,284,4502,374,146,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172,256,259,257,258,187,165,192,253,254,162,204,177,251,203,205,194,197,207,195,266,240,201,193,247,208,184,178,227,176,244,209,202,188,185,161,231,245,243,196,166,213,255,210,211,163])).
% 98.67/98.76  cnf(5395,plain,
% 98.67/98.76     (P4(a15,a22,a16,a22)),
% 98.67/98.76     inference(scs_inference,[],[142,5092,5297,5300,5325,5348,5364,5104,5309,5328,5124,5322,5370,5072,5228,5231,5234,5237,5240,5331,5353,5385,5388,4687,4737,4783,5026,5016,4410,4825,5066,5151,5106,4468,4550,4819,4901,4998,5063,5076,5140,5153,5170,5173,5188,4841,4866,5042,4985,5182,5209,4827,4934,4926,5371,5006,4856,4936,5374,4888,4426,4950,4620,284,4502,374,146,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172,256,259,257,258,187,165,192,253,254,162,204,177,251,203,205,194,197,207,195,266,240,201,193,247,208,184,178,227,176,244,209,202,188,185,161,231,245,243,196,166,213,255,210,211,163,548])).
% 98.67/98.76  cnf(5399,plain,
% 98.67/98.76     (P9(a22,a22,a22,a22)),
% 98.67/98.76     inference(scs_inference,[],[142,5092,5297,5300,5325,5348,5364,5104,5309,5328,5124,5322,5370,5072,5228,5231,5234,5237,5240,5331,5353,5385,5388,4687,4737,4783,5026,5016,4410,4825,5066,5151,5106,4468,4550,4819,4901,4998,5063,5076,5140,5153,5170,5173,5188,4841,4866,5042,4985,5182,5209,4827,4934,4926,5371,5006,4856,4936,5374,4888,4426,4950,4620,284,4502,374,146,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172,256,259,257,258,187,165,192,253,254,162,204,177,251,203,205,194,197,207,195,266,240,201,193,247,208,184,178,227,176,244,209,202,188,185,161,231,245,243,196,166,213,255,210,211,163,548,655,1177])).
% 98.67/98.76  cnf(5401,plain,
% 98.67/98.76     (P9(a20,a20,a22,a22)),
% 98.67/98.76     inference(scs_inference,[],[142,5092,5297,5300,5325,5348,5364,5104,5309,5328,5124,5322,5370,5072,5228,5231,5234,5237,5240,5331,5353,5385,5388,4687,4737,4783,5026,5016,4410,4825,5066,5151,5106,4468,4550,4819,4901,4998,5063,5076,5140,5153,5170,5173,5188,4841,4866,5042,4985,5182,5209,4827,4934,4926,5371,5006,4856,4936,5374,4888,4426,4950,4620,284,4502,374,146,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172,256,259,257,258,187,165,192,253,254,162,204,177,251,203,205,194,197,207,195,266,240,201,193,247,208,184,178,227,176,244,209,202,188,185,161,231,245,243,196,166,213,255,210,211,163,548,655,1177,1273])).
% 98.67/98.76  cnf(5405,plain,
% 98.67/98.76     (P5(a15,a15,a16,a15)),
% 98.67/98.76     inference(scs_inference,[],[142,5092,5297,5300,5325,5348,5364,5104,5309,5328,5124,5322,5370,5072,5228,5231,5234,5237,5240,5331,5353,5385,5388,4687,4737,4783,5026,5016,4410,4825,5066,5151,5106,4468,4550,4819,4901,4998,5063,5076,5140,5153,5170,5173,5188,4841,4866,5042,4985,5182,5209,4827,4934,4926,5371,5006,4856,4936,5374,4888,4426,4950,4620,284,4502,374,146,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172,256,259,257,258,187,165,192,253,254,162,204,177,251,203,205,194,197,207,195,266,240,201,193,247,208,184,178,227,176,244,209,202,188,185,161,231,245,243,196,166,213,255,210,211,163,548,655,1177,1273,1214,174])).
% 98.67/98.76  cnf(5409,plain,
% 98.67/98.76     (P9(a15,a15,a22,a22)),
% 98.67/98.76     inference(scs_inference,[],[142,5092,5297,5300,5325,5348,5364,5104,5309,5328,5124,5322,5370,5072,5228,5231,5234,5237,5240,5331,5353,5385,5388,4687,4737,4783,5026,5016,4410,4825,5066,5151,5106,4468,4550,4819,4901,4998,5063,5076,5140,5153,5170,5173,5188,4841,4866,5042,4985,5182,5209,4827,4934,4926,5371,5006,4856,4936,5374,4888,4426,4950,4620,284,4502,374,146,1589,1600,1622,1506,1611,445,168,173,157,155,261,164,160,156,230,260,262,169,263,167,170,171,229,158,172,256,259,257,258,187,165,192,253,254,162,204,177,251,203,205,194,197,207,195,266,240,201,193,247,208,184,178,227,176,244,209,202,188,185,161,231,245,243,196,166,213,255,210,211,163,548,655,1177,1273,1214,174,191,1145])).
% 98.67/98.76  cnf(5424,plain,
% 98.67/98.76     (P7(a15,a15,a15,a16,a15,a15,a15,a16)),
% 98.67/98.76     inference(scs_inference,[],[5258,1506])).
% 98.67/98.76  cnf(5425,plain,
% 98.67/98.76     (P1(x54251,x54251,x54252)),
% 98.67/98.76     inference(rename_variables,[],[5258])).
% 98.67/98.76  cnf(5427,plain,
% 98.67/98.76     (P7(a20,a20,a20,a16,a20,a20,a20,a16)),
% 98.67/98.76     inference(scs_inference,[],[5258,5425,1506,1600])).
% 98.67/98.76  cnf(5428,plain,
% 98.67/98.76     (P1(x54281,x54281,x54282)),
% 98.67/98.76     inference(rename_variables,[],[5258])).
% 98.67/98.76  cnf(5430,plain,
% 98.67/98.76     (P7(a20,a20,a20,a15,a20,a20,a20,a15)),
% 98.67/98.76     inference(scs_inference,[],[5258,5425,5428,1506,1600,1622])).
% 98.67/98.76  cnf(5431,plain,
% 98.67/98.76     (P1(x54311,x54311,x54312)),
% 98.67/98.76     inference(rename_variables,[],[5258])).
% 98.67/98.76  cnf(5433,plain,
% 98.67/98.76     (P7(a22,a22,a22,a16,a22,a22,a22,a16)),
% 98.67/98.76     inference(scs_inference,[],[5258,5425,5428,5431,1506,1600,1622,1589])).
% 98.67/98.76  cnf(5434,plain,
% 98.67/98.76     (P1(x54341,x54341,x54342)),
% 98.67/98.76     inference(rename_variables,[],[5258])).
% 98.67/98.76  cnf(5436,plain,
% 98.67/98.76     (P7(a21,a21,a21,a16,a21,a21,a21,a16)),
% 98.67/98.76     inference(scs_inference,[],[5258,5425,5428,5431,5434,1506,1600,1622,1589,1611])).
% 98.67/98.76  cnf(5437,plain,
% 98.67/98.76     (P1(x54371,x54371,x54372)),
% 98.67/98.76     inference(rename_variables,[],[5258])).
% 98.67/98.76  cnf(5441,plain,
% 98.67/98.76     (P5(x54411,x54411,x54412,x54411)),
% 98.67/98.76     inference(scs_inference,[],[5246,5258,5425,5428,5431,5434,5337,1506,1600,1622,1589,1611,445,174])).
% 98.67/98.76  cnf(5447,plain,
% 98.67/98.76     (P10(a16,a2,a17,a21)),
% 98.67/98.76     inference(scs_inference,[],[5246,5258,5425,5428,5431,5434,4608,5270,5167,5337,1506,1600,1622,1589,1611,445,174,261,157,168])).
% 98.67/98.76  cnf(5449,plain,
% 98.67/98.76     (P1(a1,a17,a20)),
% 98.67/98.76     inference(scs_inference,[],[5246,5258,5425,5428,5431,5434,4608,5254,5270,5167,5337,1506,1600,1622,1589,1611,445,174,261,157,168,155])).
% 98.67/98.76  cnf(5451,plain,
% 98.67/98.76     (P5(a15,a15,a15,a16)),
% 98.67/98.76     inference(scs_inference,[],[5246,5258,5425,5428,5431,5434,4608,5254,5270,5405,5167,5337,1506,1600,1622,1589,1611,445,174,261,157,168,155,175])).
% 98.67/98.76  cnf(5453,plain,
% 98.67/98.76     (P1(a16,a15,a22)),
% 98.67/98.76     inference(scs_inference,[],[5246,5258,5425,5428,5431,5434,4608,4924,5254,5270,5405,5167,5337,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156])).
% 98.67/98.76  cnf(5455,plain,
% 98.67/98.76     (P4(a15,a15,a15,a2)),
% 98.67/98.76     inference(scs_inference,[],[5246,5258,5425,5428,5431,5434,4608,4924,5254,5270,5278,5405,5167,5337,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160])).
% 98.67/98.76  cnf(5457,plain,
% 98.67/98.76     (P7(a21,a16,a21,a16,a2,a21,a2,a21)),
% 98.67/98.76     inference(scs_inference,[],[5246,5258,5425,5428,5431,5434,4608,4924,4940,5254,5270,5278,5405,5167,5337,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260])).
% 98.67/98.76  cnf(5459,plain,
% 98.67/98.76     (P8(a2,a21,a21,a21,a21,a21,a2,a21)),
% 98.67/98.76     inference(scs_inference,[],[5246,5258,5425,5428,5431,5434,5280,4608,4924,4940,5254,5270,5278,5405,5167,5337,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230])).
% 98.67/98.76  cnf(5463,plain,
% 98.67/98.76     (P10(a16,a16,a16,a2)),
% 98.67/98.76     inference(scs_inference,[],[5246,5258,5425,5428,5431,5434,5280,5223,4677,4608,4924,4940,5254,5270,5278,5405,5167,5337,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167])).
% 98.67/98.76  cnf(5465,plain,
% 98.67/98.76     (P9(a21,a21,a16,a2)),
% 98.67/98.76     inference(scs_inference,[],[5246,5258,5425,5428,5431,5434,5280,4740,5223,4677,4608,4924,4940,5254,5270,5278,5405,5167,5337,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169])).
% 98.67/98.76  cnf(5473,plain,
% 98.67/98.76     (P3(f6(a2,a16,a16),a16,a2)),
% 98.67/98.76     inference(scs_inference,[],[5246,5258,5425,5428,5431,5434,5280,4740,5223,4677,4608,4924,4940,4958,5254,5270,5278,5405,5167,5194,5337,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158])).
% 98.67/98.76  cnf(5475,plain,
% 98.67/98.76     (P8(a16,a2,x54751,x54752,a16,a16,x54751,x54752)),
% 98.67/98.76     inference(scs_inference,[],[5246,5258,5425,5428,5431,5434,5280,4740,5223,4677,4608,4924,4940,4958,5254,5270,5278,5405,5167,5194,5337,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229])).
% 98.67/98.76  cnf(5477,plain,
% 98.67/98.76     (P4(a22,a15,a15,a22)),
% 98.67/98.76     inference(scs_inference,[],[5246,5258,5425,5428,5431,5434,5280,4740,5223,4677,4608,4924,4940,4958,5254,5270,5278,5335,5405,5167,5194,5337,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229,172])).
% 98.67/98.76  cnf(5479,plain,
% 98.67/98.76     (P8(x54791,x54792,x54791,x54792,x54793,x54794,x54794,x54793)),
% 98.67/98.76     inference(scs_inference,[],[5246,5284,5258,5425,5428,5431,5434,5280,4740,5223,4677,4608,4924,4940,4958,5254,5270,5278,5335,5405,5167,5194,5337,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229,172,256])).
% 98.67/98.76  cnf(5481,plain,
% 98.67/98.76     (P8(a16,a16,a15,a15,x54811,x54812,x54811,x54812)),
% 98.67/98.76     inference(scs_inference,[],[5246,5284,5258,5425,5428,5431,5434,5280,4740,5223,4677,5276,4608,4924,4940,4958,5254,5270,5278,5335,5405,5167,5194,5337,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229,172,256,259])).
% 98.67/98.76  cnf(5483,plain,
% 98.67/98.76     (P8(x54831,x54832,a16,a16,x54831,x54832,a15,a15)),
% 98.67/98.76     inference(scs_inference,[],[5246,5284,5258,5425,5428,5431,5434,5280,4740,5223,4677,5276,4608,4924,4940,4958,5254,5270,5278,5335,5405,5167,5194,5337,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229,172,256,259,257])).
% 98.67/98.76  cnf(5485,plain,
% 98.67/98.76     (P8(x54851,x54852,x54853,x54854,x54852,x54851,x54854,x54853)),
% 98.67/98.76     inference(scs_inference,[],[5246,5284,5286,5258,5425,5428,5431,5434,5280,4740,5223,4677,5276,4608,4924,4940,4958,5254,5270,5278,5335,5405,5167,5194,5337,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229,172,256,259,257,258])).
% 98.67/98.76  cnf(5490,plain,
% 98.67/98.76     (P4(x54901,x54901,x54901,x54901)),
% 98.67/98.76     inference(rename_variables,[],[5379])).
% 98.67/98.76  cnf(5494,plain,
% 98.67/98.76     (P1(f26(a16,a16,a15,a16),a15,a16)),
% 98.67/98.76     inference(scs_inference,[],[5379,5246,5284,5286,5258,5425,5428,5431,5434,5280,4740,5223,4677,5327,5276,4608,4924,4940,4958,5254,5270,5278,5335,5345,5399,5405,5167,5194,5337,4542,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229,172,256,259,257,258,189,192,267,254])).
% 98.67/98.76  cnf(5495,plain,
% 98.67/98.76     (P8(x54951,x54952,x54952,x54951,x54953,x54954,x54953,x54954)),
% 98.67/98.76     inference(rename_variables,[],[5284])).
% 98.67/98.76  cnf(5497,plain,
% 98.67/98.76     (P4(a16,a15,a16,a15)),
% 98.67/98.76     inference(scs_inference,[],[5379,5246,5284,5286,5258,5425,5428,5431,5434,5280,4740,5223,4677,5327,5276,4608,4924,4940,4958,5254,5270,5278,5335,5345,5366,5399,5405,5167,5194,5337,4542,5151,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229,172,256,259,257,258,189,192,267,254,177])).
% 98.67/98.76  cnf(5499,plain,
% 98.67/98.76     (P1(f25(a15,a15,a15,a16),a15,a16)),
% 98.67/98.76     inference(scs_inference,[],[5379,5490,5246,5284,5286,5258,5425,5428,5431,5434,5280,4740,5223,4677,5327,5276,4608,4924,4940,4958,5254,5270,5278,5335,5345,5363,5366,5399,5405,5167,5194,5337,4542,5151,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229,172,256,259,257,258,189,192,267,254,177,198])).
% 98.67/98.76  cnf(5500,plain,
% 98.67/98.76     (P4(x55001,x55001,x55001,x55001)),
% 98.67/98.76     inference(rename_variables,[],[5379])).
% 98.67/98.76  cnf(5503,plain,
% 98.67/98.76     (P4(x55031,x55031,x55031,x55031)),
% 98.67/98.76     inference(rename_variables,[],[5379])).
% 98.67/98.76  cnf(5514,plain,
% 98.67/98.76     (P4(x55141,x55141,x55141,x55141)),
% 98.67/98.76     inference(rename_variables,[],[5379])).
% 98.67/98.76  cnf(5516,plain,
% 98.67/98.76     (P1(f14(a16,a16,a15,a16),a15,a16)),
% 98.67/98.76     inference(scs_inference,[],[5379,5490,5500,5503,5246,5284,5286,5258,5425,5428,5431,5434,5280,4740,5223,4677,5327,5276,4608,4924,4940,4958,5254,5270,5278,5306,5335,5345,5363,5366,5399,5405,5167,5194,5337,5104,4542,4424,5151,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229,172,256,259,257,258,189,192,267,254,177,198,203,204,197,207,194,205,251])).
% 98.67/98.76  cnf(5520,plain,
% 98.67/98.76     (P5(x55201,x55202,x55202,x55202)),
% 98.67/98.76     inference(rename_variables,[],[5124])).
% 98.67/98.76  cnf(5528,plain,
% 98.67/98.76     (P1(x55281,x55281,x55282)),
% 98.67/98.76     inference(rename_variables,[],[5258])).
% 98.67/98.76  cnf(5530,plain,
% 98.67/98.76     (P4(a2,a19,a2,a19)),
% 98.67/98.76     inference(scs_inference,[],[142,5379,5490,5500,5503,5246,5284,5286,5258,5425,5428,5431,5434,5437,5280,4740,5223,4677,5327,5276,4608,4924,4940,4958,5084,5254,5270,5278,5306,5335,5345,5363,5366,5399,5405,5167,5194,5179,5337,5104,4542,5124,4424,5151,4727,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229,172,256,259,257,258,189,192,267,254,177,198,203,204,197,207,194,205,251,195,159,193,201,247])).
% 98.67/98.76  cnf(5532,plain,
% 98.67/98.76     (P5(x55321,x55322,x55323,x55323)),
% 98.67/98.76     inference(scs_inference,[],[142,5379,5490,5500,5503,5246,5284,5286,5258,5425,5428,5431,5434,5437,5528,5280,4740,5223,4677,5327,5276,4608,4924,4940,4958,5084,5254,5270,5278,5306,5335,5345,5363,5366,5399,5405,5167,5194,5179,5337,5104,4542,5124,4948,4424,5151,4727,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229,172,256,259,257,258,189,192,267,254,177,198,203,204,197,207,194,205,251,195,159,193,201,247,240])).
% 98.67/98.76  cnf(5533,plain,
% 98.67/98.76     (P8(x55331,x55332,x55333,x55334,x55331,x55332,x55333,x55334)),
% 98.67/98.76     inference(rename_variables,[],[4948])).
% 98.67/98.76  cnf(5537,plain,
% 98.67/98.76     (~P9(a18,a19,f12(a16,a15,a15,a2,a15),a16)),
% 98.67/98.76     inference(scs_inference,[],[142,5379,5490,5500,5503,5246,5284,5286,5258,5425,5428,5431,5434,5437,5528,5280,4740,5223,4677,5327,5276,4608,4924,4940,4958,5084,5254,5270,5278,5306,5335,5345,5363,5366,5399,5405,5167,5194,5179,5352,5337,5104,4542,5124,294,4948,4424,5151,4727,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229,172,256,259,257,258,189,192,267,254,177,198,203,204,197,207,194,205,251,195,159,193,201,247,240,208,184])).
% 98.67/98.76  cnf(5544,plain,
% 98.67/98.76     (P1(x55441,x55441,x55442)),
% 98.67/98.76     inference(rename_variables,[],[5258])).
% 98.67/98.76  cnf(5546,plain,
% 98.67/98.76     (~P9(a19,a18,f12(a16,a15,a15,a2,a15),a16)),
% 98.67/98.76     inference(scs_inference,[],[142,5379,5490,5500,5503,5246,5284,5286,5258,5425,5428,5431,5434,5437,5528,5280,4412,4740,5223,4677,5327,5276,4608,4924,4940,4958,5084,5254,5270,5278,5306,5335,5345,5363,5366,5399,5405,5167,5194,5179,5352,5337,5104,4542,4926,5124,294,4948,4424,5151,4727,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229,172,256,259,257,258,189,192,267,254,177,198,203,204,197,207,194,205,251,195,159,193,201,247,240,208,184,266,202,186])).
% 98.67/98.76  cnf(5547,plain,
% 98.67/98.76     (P10(x55471,x55472,x55472,x55471)),
% 98.67/98.76     inference(rename_variables,[],[4926])).
% 98.67/98.76  cnf(5551,plain,
% 98.67/98.76     (P2(x55511,x55511,x55511,x55511)),
% 98.67/98.76     inference(scs_inference,[],[142,5379,5490,5500,5503,5514,5246,5284,5286,5258,5425,5428,5431,5434,5437,5528,5280,4412,4740,5223,4677,5327,5276,4608,4924,4940,4958,5084,5254,5270,5278,5306,5335,5345,5363,5366,5399,5405,5167,5194,5179,5352,5337,5104,4542,4926,5124,294,4948,4424,5151,4727,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229,172,256,259,257,258,189,192,267,254,177,198,203,204,197,207,194,205,251,195,159,193,201,247,240,208,184,266,202,186,227,188])).
% 98.67/98.76  cnf(5553,plain,
% 98.67/98.76     (P10(f27(a15,a2,a15,a2,a15,a15),a15,a2,a2)),
% 98.67/98.76     inference(scs_inference,[],[142,5379,5490,5500,5503,5514,5246,5284,5286,5258,5425,5428,5431,5434,5437,5528,5280,4412,4740,5223,4677,5327,5276,4608,4924,4940,4958,5084,5254,5270,5278,5306,5335,5345,5363,5366,5399,5405,5167,5194,5179,5352,5337,5104,4542,4926,5124,294,4948,4424,5151,4727,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229,172,256,259,257,258,189,192,267,254,177,198,203,204,197,207,194,205,251,195,159,193,201,247,240,208,184,266,202,186,227,188,209])).
% 98.67/98.76  cnf(5555,plain,
% 98.67/98.76     (P10(a16,a16,f27(a2,a16,a2,a16,a21,a21),a21)),
% 98.67/98.76     inference(scs_inference,[],[142,5379,5490,5500,5503,5514,5246,5284,5286,5258,5425,5428,5431,5434,5437,5528,5280,4412,4740,5223,4677,5327,5276,4608,4924,4940,4958,5084,5254,5270,5278,5306,5335,5345,5363,5366,5399,5405,5167,5194,5179,5352,5090,5337,5104,4542,4926,5124,294,4948,4424,5151,4727,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229,172,256,259,257,258,189,192,267,254,177,198,203,204,197,207,194,205,251,195,159,193,201,247,240,208,184,266,202,186,227,188,209,244])).
% 98.67/98.76  cnf(5558,plain,
% 98.67/98.76     (~P3(f24(a2,a19),a15,a18)),
% 98.67/98.76     inference(scs_inference,[],[142,5379,5490,5500,5503,5514,5246,5284,5286,5258,5425,5428,5431,5434,5437,5528,5280,4412,4740,5223,4677,5327,5276,4608,4924,4940,4958,5084,5254,5270,5278,5306,5335,5345,5363,5366,5399,5405,5167,5194,5391,5179,5352,5090,5337,5104,4542,4926,5124,356,294,4948,4424,5151,4727,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229,172,256,259,257,258,189,192,267,254,177,198,203,204,197,207,194,205,251,195,159,193,201,247,240,208,184,266,202,186,227,188,209,244,161])).
% 98.67/98.76  cnf(5565,plain,
% 98.67/98.76     (P9(x55651,x55652,x55652,x55651)),
% 98.67/98.76     inference(scs_inference,[],[142,5379,5490,5500,5503,5514,5246,5284,5495,5286,5258,5425,5428,5431,5434,5437,5528,5280,4412,4740,5223,4677,5327,5276,4608,4924,4940,4958,5084,5254,5270,5278,5306,5335,5345,5355,5363,5366,5373,5399,5405,5167,5194,5391,5179,5352,5090,5337,5104,4542,4926,5124,356,294,4948,4424,5151,4727,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229,172,256,259,257,258,189,192,267,254,177,198,203,204,197,207,194,205,251,195,159,193,201,247,240,208,184,266,202,186,227,188,209,244,161,231,185,245])).
% 98.67/98.76  cnf(5566,plain,
% 98.67/98.76     (P8(x55661,x55662,x55662,x55661,x55663,x55664,x55663,x55664)),
% 98.67/98.76     inference(rename_variables,[],[5284])).
% 98.67/98.76  cnf(5568,plain,
% 98.67/98.76     (P3(a20,a20,a20)),
% 98.67/98.76     inference(scs_inference,[],[142,5379,5490,5500,5503,5514,5246,5284,5495,5566,5286,5258,5425,5428,5431,5434,5437,5528,5544,5280,4412,4740,5223,4677,5327,5276,4608,4924,4940,4958,5084,5254,5270,5278,5306,5335,5345,5355,5363,5366,5373,5399,5405,5167,5194,5391,5179,5352,5090,5136,5337,5104,4542,4926,5124,356,294,4948,4424,5151,4727,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229,172,256,259,257,258,189,192,267,254,177,198,203,204,197,207,194,205,251,195,159,193,201,247,240,208,184,266,202,186,227,188,209,244,161,231,185,245,243])).
% 98.67/98.76  cnf(5570,plain,
% 98.67/98.76     (P1(x55701,x55701,x55702)),
% 98.67/98.76     inference(rename_variables,[],[5258])).
% 98.67/98.76  cnf(5572,plain,
% 98.67/98.76     (P2(f9(a16,a2,a16),a16,a2,a16)),
% 98.67/98.76     inference(scs_inference,[],[142,5379,5490,5500,5503,5514,5246,5284,5495,5566,5286,5258,5425,5428,5431,5434,5437,5528,5544,5280,4412,4740,5223,4677,5327,5276,4608,4924,4940,4958,5084,5254,5270,5278,5306,5335,5345,5355,5363,5366,5373,5399,5405,5167,5194,5391,5179,5352,5090,5136,5337,5104,4542,4602,4926,5124,356,294,4948,4424,5151,4727,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229,172,256,259,257,258,189,192,267,254,177,198,203,204,197,207,194,205,251,195,159,193,201,247,240,208,184,266,202,186,227,188,209,244,161,231,185,245,243,196])).
% 98.67/98.76  cnf(5575,plain,
% 98.67/98.76     (P3(a21,a21,f24(a21,a21))),
% 98.67/98.76     inference(scs_inference,[],[142,5379,5490,5500,5503,5514,5246,5284,5495,5566,5286,5258,5425,5428,5431,5434,5437,5528,5544,5570,5280,4412,4740,5223,4677,5327,5276,4608,4924,4940,4958,5084,5254,5270,5278,5306,5335,5345,5355,5363,5366,5373,5399,5405,5167,5194,5391,5179,5352,5090,5136,5337,5104,4542,4602,4926,5547,5124,356,294,4948,4424,5182,5151,4727,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229,172,256,259,257,258,189,192,267,254,177,198,203,204,197,207,194,205,251,195,159,193,201,247,240,208,184,266,202,186,227,188,209,244,161,231,185,245,243,196,166])).
% 98.67/98.76  cnf(5577,plain,
% 98.67/98.76     (P1(x55771,x55771,x55772)),
% 98.67/98.76     inference(rename_variables,[],[5258])).
% 98.67/98.76  cnf(5578,plain,
% 98.67/98.76     (P10(x55781,x55782,x55782,x55781)),
% 98.67/98.76     inference(rename_variables,[],[4926])).
% 98.67/98.76  cnf(5583,plain,
% 98.67/98.76     (P10(x55831,x55832,x55831,x55832)),
% 98.67/98.76     inference(rename_variables,[],[4912])).
% 98.67/98.76  cnf(5584,plain,
% 98.67/98.76     (P1(x55841,x55841,x55842)),
% 98.67/98.76     inference(rename_variables,[],[5258])).
% 98.67/98.76  cnf(5587,plain,
% 98.67/98.76     (P1(x55871,x55871,x55872)),
% 98.67/98.76     inference(rename_variables,[],[5258])).
% 98.67/98.76  cnf(5592,plain,
% 98.67/98.76     (P1(x55921,x55921,x55922)),
% 98.67/98.76     inference(rename_variables,[],[5258])).
% 98.67/98.76  cnf(5598,plain,
% 98.67/98.76     (P1(x55981,x55981,x55982)),
% 98.67/98.76     inference(rename_variables,[],[5258])).
% 98.67/98.76  cnf(5600,plain,
% 98.67/98.76     (P1(x56001,x56002,x56001)),
% 98.67/98.76     inference(rename_variables,[],[5072])).
% 98.67/98.76  cnf(5602,plain,
% 98.67/98.76     (P3(f24(a15,x56021),a15,x56021)),
% 98.67/98.76     inference(scs_inference,[],[142,5379,5490,5500,5503,5514,5246,5284,5495,5566,5286,5258,5425,5428,5431,5434,5437,5528,5544,5570,5577,5584,5587,5592,5598,5280,4412,4740,5223,4677,5327,5276,5359,4608,4924,4940,4958,5084,5254,5270,5278,5306,5335,5345,5355,5363,5366,5373,5399,5405,5167,5207,5194,5391,5179,5352,5090,5136,5337,5200,5104,5072,5600,4906,4542,4602,4926,5547,5578,5124,5520,356,294,4948,4424,5182,4663,4484,4912,5583,5151,4727,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229,172,256,259,257,258,189,192,267,254,177,198,203,204,197,207,194,205,251,195,159,193,201,247,240,208,184,266,202,186,227,188,209,244,161,231,185,245,243,196,166,232,212,213,210,255,211,163])).
% 98.67/98.76  cnf(5606,plain,
% 98.67/98.76     (P10(a17,a15,a15,a18)),
% 98.67/98.76     inference(scs_inference,[],[142,5379,5490,5500,5503,5514,5246,5284,5495,5566,5286,5258,5425,5428,5431,5434,5437,5528,5544,5570,5577,5584,5587,5592,5598,5280,4412,4740,5223,4677,5327,5276,5359,4608,4924,4940,4958,5084,5254,5270,5278,5306,5335,5345,5355,5363,5366,5373,5399,5405,5167,5207,5194,5391,5179,5352,5090,5136,5337,5200,5104,5072,5600,4906,4542,4602,4926,5547,5578,5124,5520,356,294,4948,4424,5182,4663,4484,4912,5583,5151,4727,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229,172,256,259,257,258,189,192,267,254,177,198,203,204,197,207,194,205,251,195,159,193,201,247,240,208,184,266,202,186,227,188,209,244,161,231,185,245,243,196,166,232,212,213,210,255,211,163,593])).
% 98.67/98.76  cnf(5610,plain,
% 98.67/98.76     (P9(a2,a2,a15,a15)),
% 98.67/98.76     inference(scs_inference,[],[142,5379,5490,5500,5503,5514,5246,5284,5495,5566,5286,5258,5425,5428,5431,5434,5437,5528,5544,5570,5577,5584,5587,5592,5598,5280,4412,4740,5223,4677,5327,5276,5359,4608,4924,4940,4958,5084,5254,5270,5278,5306,5335,5345,5355,5363,5366,5373,5399,5405,5167,5207,5194,5391,5179,5352,5090,5136,5337,5200,5104,5072,5600,4906,4542,4602,4926,5547,5578,5124,5520,356,294,4948,4424,5182,4663,4484,4912,5583,5151,4727,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229,172,256,259,257,258,189,192,267,254,177,198,203,204,197,207,194,205,251,195,159,193,201,247,240,208,184,266,202,186,227,188,209,244,161,231,185,245,243,196,166,232,212,213,210,255,211,163,593,635,1033])).
% 98.67/98.76  cnf(5612,plain,
% 98.67/98.76     (P9(a20,a20,a15,a15)),
% 98.67/98.76     inference(scs_inference,[],[142,5379,5490,5500,5503,5514,5246,5284,5495,5566,5286,5258,5425,5428,5431,5434,5437,5528,5544,5570,5577,5584,5587,5592,5598,5280,4412,4740,5223,4677,5327,5276,5359,4608,4924,4940,4958,5084,5254,5270,5278,5306,5335,5345,5355,5363,5366,5373,5399,5405,5167,5207,5194,5391,5179,5352,5090,5136,5337,5200,5104,5072,5600,4906,4542,4602,4926,5547,5578,5124,5520,356,294,4948,4424,5182,4663,4484,4912,5583,5151,4727,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229,172,256,259,257,258,189,192,267,254,177,198,203,204,197,207,194,205,251,195,159,193,201,247,240,208,184,266,202,186,227,188,209,244,161,231,185,245,243,196,166,232,212,213,210,255,211,163,593,635,1033,1198])).
% 98.67/98.76  cnf(5619,plain,
% 98.67/98.76     (P10(a16,a2,a21,a21)),
% 98.67/98.76     inference(scs_inference,[],[142,5379,5490,5500,5503,5514,5246,5284,5495,5566,5286,5258,5425,5428,5431,5434,5437,5528,5544,5570,5577,5584,5587,5592,5598,5280,4412,4740,5223,4677,5327,5276,5359,4608,4924,4940,4958,5084,5254,5270,5278,5306,5335,5345,5355,5363,5366,5373,5399,5405,5167,5207,5194,5391,5179,5352,5090,5136,5337,5200,4428,5104,5072,5600,4906,4542,4602,4926,5547,5578,5124,5520,356,294,4948,5533,4424,5182,4663,4484,4912,5583,5151,4727,1506,1600,1622,1589,1611,445,174,261,157,168,155,175,156,160,260,230,262,167,169,263,171,170,158,229,172,256,259,257,258,189,192,267,254,177,198,203,204,197,207,194,205,251,195,159,193,201,247,240,208,184,266,202,186,227,188,209,244,161,231,185,245,243,196,166,232,212,213,210,255,211,163,593,635,1033,1198,191,264,183])).
% 98.67/98.76  cnf(5622,plain,
% 98.67/98.76     (P10(a17,a16,a16,a18)),
% 98.67/98.76     inference(scs_inference,[],[5565,635])).
% 98.67/98.76  cnf(5623,plain,
% 98.67/98.76     (P9(x56231,x56232,x56232,x56231)),
% 98.67/98.76     inference(rename_variables,[],[5565])).
% 98.67/98.76  cnf(5625,plain,
% 98.67/98.76     (P10(a16,a15,a22,a17)),
% 98.67/98.76     inference(scs_inference,[],[5565,5623,635,854])).
% 98.67/98.76  cnf(5626,plain,
% 98.67/98.76     (P9(x56261,x56262,x56262,x56261)),
% 98.67/98.76     inference(rename_variables,[],[5565])).
% 98.67/98.76  cnf(5638,plain,
% 98.67/98.76     (P5(x56381,x56382,x56383,x56382)),
% 98.67/98.76     inference(scs_inference,[],[5565,5623,5532,5248,5330,5516,5553,635,854,1506,1622,1611,445,174])).
% 98.67/98.76  cnf(5640,plain,
% 98.67/98.76     (P5(x56401,x56402,x56403,x56401)),
% 98.67/98.76     inference(scs_inference,[],[5565,5623,5532,5248,5330,5516,5553,635,854,1506,1622,1611,445,174,173])).
% 98.67/98.76  cnf(5644,plain,
% 98.67/98.76     (P9(f7(x56441,x56441,x56441,x56441),x56441,x56441,x56441)),
% 98.67/98.76     inference(scs_inference,[],[5551,5565,5623,5532,5424,5248,5330,5516,5553,635,854,1506,1622,1611,445,174,173,261,191])).
% 98.67/98.76  cnf(5648,plain,
% 98.67/98.76     (P1(a15,a16,a22)),
% 98.67/98.76     inference(scs_inference,[],[5551,5565,5623,5532,5424,5347,5453,5248,5330,5516,5553,635,854,1506,1622,1611,445,174,173,261,191,168,155])).
% 98.67/98.76  cnf(5650,plain,
% 98.67/98.76     (P8(x56501,x56502,x56501,x56503,x56503,x56502,x56503,x56503)),
% 98.67/98.76     inference(scs_inference,[],[5551,5565,5623,5532,5424,5347,5453,5248,5330,5516,5553,635,854,1506,1622,1611,445,174,173,261,191,168,155,228])).
% 98.67/98.76  cnf(5652,plain,
% 98.67/98.76     (P1(f24(a15,x56521),a15,x56521)),
% 98.67/98.76     inference(scs_inference,[],[5551,5565,5623,5532,5424,5347,5453,5248,5602,5330,5516,5553,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157])).
% 98.67/98.76  cnf(5654,plain,
% 98.67/98.76     (P5(x56541,x56541,x56541,x56542)),
% 98.67/98.76     inference(scs_inference,[],[5551,5441,5565,5623,5532,5424,5347,5453,5248,5602,5330,5516,5553,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175])).
% 98.67/98.76  cnf(5658,plain,
% 98.67/98.76     (P8(a15,a15,a15,a2,a15,a2,a15,a2)),
% 98.67/98.76     inference(scs_inference,[],[5551,5441,5565,5623,5532,5424,4942,5347,5453,5455,5248,5602,5330,5516,5553,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230])).
% 98.67/98.76  cnf(5660,plain,
% 98.67/98.76     (P1(a1,a20,a17)),
% 98.67/98.76     inference(scs_inference,[],[5551,5441,5565,5623,5532,5424,4942,5347,5449,5453,5455,5248,5602,5330,5516,5553,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156])).
% 98.67/98.76  cnf(5666,plain,
% 98.67/98.76     (P4(a16,a22,a15,a22)),
% 98.67/98.76     inference(scs_inference,[],[5551,5441,5565,5623,5532,5395,5409,5424,4942,5347,5449,5453,5455,5248,5602,5330,5516,5553,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171])).
% 98.67/98.76  cnf(5668,plain,
% 98.67/98.76     (P7(a2,a21,a2,a16,a2,a21,a2,a16)),
% 98.67/98.76     inference(scs_inference,[],[5551,5441,5565,5623,5532,5395,5409,5424,4803,4942,5347,5449,5453,5455,5248,5602,5330,5516,5553,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171,262])).
% 98.67/98.76  cnf(5670,plain,
% 98.67/98.76     (P10(a15,a18,a17,a15)),
% 98.67/98.76     inference(scs_inference,[],[5551,5441,5565,5623,5532,5395,5409,5424,4803,4942,5347,5449,5453,5455,5606,5248,5602,5330,5516,5553,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171,262,167])).
% 98.67/98.76  cnf(5672,plain,
% 98.67/98.76     (P9(x56721,x56722,x56721,x56722)),
% 98.67/98.76     inference(scs_inference,[],[5551,5441,5565,5623,5626,5532,5395,5409,5424,4803,4942,5347,5449,5453,5455,5606,5248,5602,5330,5516,5553,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171,262,167,170])).
% 98.67/98.76  cnf(5676,plain,
% 98.67/98.76     (P3(f24(a15,x56761),x56761,a15)),
% 98.67/98.76     inference(scs_inference,[],[5551,5441,5565,5623,5626,5532,5395,5409,5424,4803,4942,5347,5449,5453,5455,5606,5248,5602,5330,5516,5553,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171,262,167,170,263,158])).
% 98.67/98.76  cnf(5680,plain,
% 98.67/98.76     (P4(a15,a15,a2,a15)),
% 98.67/98.76     inference(scs_inference,[],[5551,5441,5565,5623,5626,5532,5395,5409,5424,4803,4942,5347,5449,5453,5455,5606,5248,5602,5330,5516,5553,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171,262,167,170,263,158,229,172])).
% 98.67/98.76  cnf(5682,plain,
% 98.67/98.76     (P8(a16,a16,x56821,x56822,a16,a2,x56821,x56822)),
% 98.67/98.76     inference(scs_inference,[],[5551,5441,5565,5623,5626,5532,5395,5409,5424,5475,4803,4942,5347,5449,5453,5455,5606,5248,5602,5330,5516,5553,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171,262,167,170,263,158,229,172,256])).
% 98.67/98.76  cnf(5686,plain,
% 98.67/98.76     (P8(x56861,x56862,a16,a2,x56861,x56862,a16,a16)),
% 98.67/98.76     inference(scs_inference,[],[5551,5441,5485,5565,5623,5626,5532,5395,5409,5424,5475,4803,4942,5347,5449,5453,5455,5606,5248,5602,5330,5516,5553,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171,262,167,170,263,158,229,172,256,259,257])).
% 98.67/98.76  cnf(5688,plain,
% 98.67/98.76     (P8(a2,a16,x56881,x56882,a16,a16,x56881,x56882)),
% 98.67/98.76     inference(scs_inference,[],[5551,5441,5485,5565,5623,5626,5532,5395,5409,5424,5475,4803,4942,5347,5449,5453,5455,5606,5248,5602,5330,5516,5553,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171,262,167,170,263,158,229,172,256,259,257,258])).
% 98.67/98.76  cnf(5692,plain,
% 98.67/98.76     (P1(a2,a15,f23(a15,a2,a15,a2))),
% 98.67/98.76     inference(scs_inference,[],[5551,5441,5485,5565,5623,5626,5532,5395,5409,5424,5475,4803,4942,5347,5449,5453,5455,5606,5248,5602,5330,5516,5553,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171,262,167,170,263,158,229,172,256,259,257,258,250,249])).
% 98.67/98.76  cnf(5705,plain,
% 98.67/98.76     (P9(x57051,x57052,x57052,x57051)),
% 98.67/98.76     inference(rename_variables,[],[5565])).
% 98.67/98.76  cnf(5707,plain,
% 98.67/98.76     (P4(a15,a15,a15,f29(a15,x57071,a15,a2,a15))),
% 98.67/98.76     inference(scs_inference,[],[5551,5441,5485,5565,5623,5626,5705,5532,5395,5409,5424,5475,4803,4942,5347,5449,5453,5455,5497,5568,5606,5148,5248,5602,5330,5516,5553,4622,5280,5284,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171,262,167,170,263,158,229,172,256,259,257,258,250,249,253,177,254,198,204,203])).
% 98.67/98.76  cnf(5708,plain,
% 98.67/98.76     (P9(x57081,x57082,x57082,x57081)),
% 98.67/98.76     inference(rename_variables,[],[5565])).
% 98.67/98.76  cnf(5713,plain,
% 98.67/98.76     (P9(x57131,x57132,x57132,x57131)),
% 98.67/98.76     inference(rename_variables,[],[5565])).
% 98.67/98.76  cnf(5717,plain,
% 98.67/98.76     (P2(f8(x57171,x57171,x57172),x57171,x57171,x57172)),
% 98.67/98.76     inference(scs_inference,[],[5551,5441,5485,5565,5623,5626,5705,5708,5713,5532,5395,5409,5424,5475,4803,4942,5347,5449,5453,5455,5497,5568,5606,5148,5248,5602,5330,5516,5553,4622,5280,5284,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171,262,167,170,263,158,229,172,256,259,257,258,250,249,253,177,254,198,204,203,182,251,197,195])).
% 98.67/98.76  cnf(5721,plain,
% 98.67/98.76     (P3(f24(a15,x57211),a15,x57211)),
% 98.67/98.76     inference(rename_variables,[],[5602])).
% 98.67/98.76  cnf(5725,plain,
% 98.67/98.76     (P9(x57251,x57252,x57252,x57251)),
% 98.67/98.76     inference(rename_variables,[],[5565])).
% 98.67/98.76  cnf(5729,plain,
% 98.67/98.76     (P9(x57291,x57292,x57292,x57291)),
% 98.67/98.76     inference(rename_variables,[],[5565])).
% 98.67/98.76  cnf(5733,plain,
% 98.67/98.76     (P9(x57331,x57332,x57332,x57331)),
% 98.67/98.76     inference(rename_variables,[],[5565])).
% 98.67/98.76  cnf(5737,plain,
% 98.67/98.76     (~P10(a19,a18,a16,f12(a16,a15,a15,a2,a15))),
% 98.67/98.76     inference(scs_inference,[],[5551,5441,5485,5565,5623,5626,5705,5708,5713,5725,5729,5733,5532,5395,5409,5424,5475,4803,4942,5347,5449,5453,5455,5497,5568,5606,5148,5248,5602,5330,5516,5553,5546,5558,4622,5280,5284,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171,262,167,170,263,158,229,172,256,259,257,258,250,249,253,177,254,198,204,203,182,251,197,195,103,207,205,194,193,208,186])).
% 98.67/98.76  cnf(5738,plain,
% 98.67/98.76     (P9(x57381,x57382,x57382,x57381)),
% 98.67/98.76     inference(rename_variables,[],[5565])).
% 98.67/98.76  cnf(5741,plain,
% 98.67/98.76     (P8(x57411,x57412,x57413,x57414,x57412,x57411,x57414,x57413)),
% 98.67/98.76     inference(rename_variables,[],[5485])).
% 98.67/98.76  cnf(5744,plain,
% 98.67/98.76     (P9(x57441,x57442,x57442,x57441)),
% 98.67/98.76     inference(rename_variables,[],[5565])).
% 98.67/98.76  cnf(5746,plain,
% 98.67/98.76     (P4(a21,a16,a21,a16)),
% 98.67/98.76     inference(scs_inference,[],[142,5551,5441,5485,5565,5623,5626,5705,5708,5713,5725,5729,5733,5738,5532,5395,5409,5424,5475,4470,4803,4942,5347,5449,5453,5455,5457,5497,5568,5606,5148,5248,5602,5330,5516,5553,5546,5558,4622,5280,5284,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171,262,167,170,263,158,229,172,256,259,257,258,250,249,253,177,254,198,204,203,182,251,197,195,103,207,205,194,193,208,186,266,201,247])).
% 98.67/98.76  cnf(5748,plain,
% 98.67/98.76     (P5(a1,a1,a15,a2)),
% 98.67/98.76     inference(scs_inference,[],[142,5551,5441,5485,5565,5623,5626,5705,5708,5713,5725,5729,5733,5738,5532,5395,5409,5424,5475,4470,4669,4803,4942,5347,5449,5453,5455,5457,5497,5568,5606,5148,5248,5602,5330,5516,5553,5546,5558,4622,5280,5104,5284,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171,262,167,170,263,158,229,172,256,259,257,258,250,249,253,177,254,198,204,203,182,251,197,195,103,207,205,194,193,208,186,266,201,247,240])).
% 98.67/98.76  cnf(5752,plain,
% 98.67/98.76     (P9(x57521,x57522,x57522,x57521)),
% 98.67/98.76     inference(rename_variables,[],[5565])).
% 98.67/98.76  cnf(5755,plain,
% 98.67/98.76     (P9(x57551,x57552,x57552,x57551)),
% 98.67/98.76     inference(rename_variables,[],[5565])).
% 98.67/98.76  cnf(5757,plain,
% 98.67/98.76     (~P9(a19,a18,a15,a2)),
% 98.67/98.76     inference(scs_inference,[],[142,5551,5441,5485,5565,5623,5626,5705,5708,5713,5725,5729,5733,5738,5744,5752,5755,5532,4566,5395,5409,5424,5475,4470,4669,4803,4942,5347,5449,5453,5455,5457,5497,5568,5606,5148,5248,5602,5330,5516,5553,5546,5558,4622,5280,5104,5284,358,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171,262,167,170,263,158,229,172,256,259,257,258,250,249,253,177,254,198,204,203,182,251,197,195,103,207,205,194,193,208,186,266,201,247,240,202,181,184])).
% 98.67/98.76  cnf(5758,plain,
% 98.67/98.76     (P9(x57581,x57582,x57582,x57581)),
% 98.67/98.76     inference(rename_variables,[],[5565])).
% 98.67/98.76  cnf(5762,plain,
% 98.67/98.76     (P2(a15,a15,a2,a2)),
% 98.67/98.76     inference(scs_inference,[],[142,5551,5441,5485,5565,5623,5626,5705,5708,5713,5725,5729,5733,5738,5744,5752,5755,5532,4566,5395,5409,5424,5475,4470,4669,4803,4942,5347,5449,5453,5455,5457,5497,5568,5606,5148,5248,5602,5330,5516,5553,5546,5558,4622,5280,5104,5284,358,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171,262,167,170,263,158,229,172,256,259,257,258,250,249,253,177,254,198,204,203,182,251,197,195,103,207,205,194,193,208,186,266,201,247,240,202,181,184,227,188])).
% 98.67/98.76  cnf(5764,plain,
% 98.67/98.76     (P10(a16,a16,a2,a16)),
% 98.67/98.76     inference(scs_inference,[],[142,5551,5441,5485,5741,5565,5623,5626,5705,5708,5713,5725,5729,5733,5738,5744,5752,5755,5532,4566,5395,5409,5424,5475,4470,4669,4803,4942,5347,5449,5453,5455,5457,5463,5497,5568,5606,5148,5248,5602,5330,5516,5553,5546,5558,4622,5280,5104,5284,358,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171,262,167,170,263,158,229,172,256,259,257,258,250,249,253,177,254,198,204,203,182,251,197,195,103,207,205,194,193,208,186,266,201,247,240,202,181,184,227,188,244])).
% 98.67/98.76  cnf(5765,plain,
% 98.67/98.76     (P8(x57651,x57652,x57653,x57654,x57652,x57651,x57654,x57653)),
% 98.67/98.76     inference(rename_variables,[],[5485])).
% 98.67/98.76  cnf(5769,plain,
% 98.67/98.76     (P9(a15,a16,a22,a22)),
% 98.67/98.76     inference(scs_inference,[],[142,5551,5441,5485,5741,5565,5623,5626,5705,5708,5713,5725,5729,5733,5738,5744,5752,5755,5532,4566,5395,5409,5424,5475,4470,4669,4803,4942,5347,5449,5453,5455,5457,5463,5497,5568,5606,5148,5248,5602,5330,5516,5553,5546,5558,4622,5366,5280,5104,5284,358,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171,262,167,170,263,158,229,172,256,259,257,258,250,249,253,177,254,198,204,203,182,251,197,195,103,207,205,194,193,208,186,266,201,247,240,202,181,184,227,188,244,209,185])).
% 98.67/98.76  cnf(5771,plain,
% 98.67/98.76     (P9(a16,a15,a22,a17)),
% 98.67/98.76     inference(scs_inference,[],[142,5551,5441,5485,5741,5765,5565,5623,5626,5705,5708,5713,5725,5729,5733,5738,5744,5752,5755,5532,4566,5395,5409,5424,5475,4432,4470,4669,4803,4942,5347,5449,5453,5455,5457,5463,5497,5568,5606,5148,5248,5602,5330,5516,5553,5546,5558,4622,5366,5280,5104,5284,358,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171,262,167,170,263,158,229,172,256,259,257,258,250,249,253,177,254,198,204,203,182,251,197,195,103,207,205,194,193,208,186,266,201,247,240,202,181,184,227,188,244,209,185,245])).
% 98.67/98.76  cnf(5775,plain,
% 98.67/98.76     (P3(f24(a15,x57751),a15,x57751)),
% 98.67/98.76     inference(rename_variables,[],[5602])).
% 98.67/98.76  cnf(5776,plain,
% 98.67/98.76     (P2(x57761,x57761,x57761,x57761)),
% 98.67/98.76     inference(rename_variables,[],[5551])).
% 98.67/98.76  cnf(5778,plain,
% 98.67/98.76     (~P3(f24(a15,a19),a2,a18)),
% 98.67/98.76     inference(scs_inference,[],[142,5551,5441,5485,5741,5765,5565,5623,5626,5705,5708,5713,5725,5729,5733,5738,5744,5752,5755,5532,4566,5395,5409,5424,5475,4432,4470,4669,4803,4942,5347,5449,5453,5455,5457,5463,5497,5568,5606,5148,5248,5602,5721,5775,5330,5516,5553,5546,5558,4622,5366,5280,5104,5284,358,312,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171,262,167,170,263,158,229,172,256,259,257,258,250,249,253,177,254,198,204,203,182,251,197,195,103,207,205,194,193,208,186,266,201,247,240,202,181,184,227,188,244,209,185,245,231,161])).
% 98.67/98.76  cnf(5781,plain,
% 98.67/98.76     (~P10(a18,a19,a16,f12(a16,a15,a15,a2,a15))),
% 98.67/98.76     inference(scs_inference,[],[142,5551,5441,5485,5741,5765,5565,5623,5626,5705,5708,5713,5725,5729,5733,5738,5744,5752,5755,5532,4566,5395,5409,5424,5475,4432,4470,4669,4803,4942,5347,5449,5453,5455,5457,5463,5497,5568,5606,5148,5248,5602,5721,5775,5330,5516,5553,5546,5558,4622,5366,5280,5104,5284,358,4926,312,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171,262,167,170,263,158,229,172,256,259,257,258,250,249,253,177,254,198,204,203,182,251,197,195,103,207,205,194,193,208,186,266,201,247,240,202,181,184,227,188,244,209,185,245,231,161,183])).
% 98.67/98.76  cnf(5782,plain,
% 98.67/98.76     (P10(x57821,x57822,x57822,x57821)),
% 98.67/98.76     inference(rename_variables,[],[4926])).
% 98.67/98.76  cnf(5788,plain,
% 98.67/98.76     (P3(x57881,x57881,x57881)),
% 98.67/98.76     inference(scs_inference,[],[142,5551,5776,5441,5479,5485,5741,5765,5565,5623,5626,5705,5708,5713,5725,5729,5733,5738,5744,5752,5755,5758,5532,4566,5395,5409,5424,5475,4432,4470,4669,4803,4942,5347,5449,5453,5455,5457,5463,5497,5568,5606,5148,5248,5602,5721,5775,5330,5516,5553,5546,5558,5258,4622,5366,5280,5104,5284,358,4926,312,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171,262,167,170,263,158,229,172,256,259,257,258,250,249,253,177,254,198,204,203,182,251,197,195,103,207,205,194,193,208,186,266,201,247,240,202,181,184,227,188,244,209,185,245,231,161,183,190,243])).
% 98.67/98.76  cnf(5789,plain,
% 98.67/98.76     (P8(x57891,x57892,x57891,x57892,x57893,x57894,x57894,x57893)),
% 98.67/98.76     inference(rename_variables,[],[5479])).
% 98.67/98.76  cnf(5790,plain,
% 98.67/98.76     (P1(x57901,x57901,x57902)),
% 98.67/98.76     inference(rename_variables,[],[5258])).
% 98.67/98.76  cnf(5795,plain,
% 98.67/98.76     (P3(a1,a17,a20)),
% 98.67/98.76     inference(scs_inference,[],[142,5551,5776,5441,5479,5485,5741,5765,5565,5623,5626,5705,5708,5713,5725,5729,5733,5738,5744,5752,5755,5758,5532,4566,5395,5409,5424,5475,4432,4470,4669,4803,4942,5347,5449,5453,5455,5457,5463,5497,5568,5606,5619,5148,5248,5602,5721,5775,5330,5473,5516,5553,5546,5558,5244,5258,4622,5366,5280,5104,5284,358,4926,312,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171,262,167,170,263,158,229,172,256,259,257,258,250,249,253,177,254,198,204,203,182,251,197,195,103,207,205,194,193,208,186,266,201,247,240,202,181,184,227,188,244,209,185,245,231,161,183,190,243,196,166])).
% 98.67/98.76  cnf(5799,plain,
% 98.67/98.76     (P10(x57991,x57992,x57992,x57991)),
% 98.67/98.76     inference(rename_variables,[],[4926])).
% 98.67/98.76  cnf(5805,plain,
% 98.67/98.76     (P1(x58051,x58052,x58051)),
% 98.67/98.76     inference(rename_variables,[],[5072])).
% 98.67/98.76  cnf(5806,plain,
% 98.67/98.76     (P10(x58061,x58062,x58062,x58061)),
% 98.67/98.76     inference(rename_variables,[],[4926])).
% 98.67/98.76  cnf(5809,plain,
% 98.67/98.76     (P1(x58091,x58091,x58092)),
% 98.67/98.76     inference(rename_variables,[],[5258])).
% 98.67/98.76  cnf(5812,plain,
% 98.67/98.76     (P4(a15,a15,a16,a16)),
% 98.67/98.76     inference(scs_inference,[],[142,5551,5776,5441,5479,5789,5485,5741,5765,5565,5623,5626,5705,5708,5713,5725,5729,5733,5738,5744,5752,5755,5758,5532,4566,5395,5409,5424,5475,4432,4470,4669,4803,4942,5347,5449,5451,5453,5455,5457,5463,5497,5568,5606,5619,4994,5148,5248,5602,5721,5775,5330,5473,5516,5553,5546,5558,5575,5244,5339,5258,5790,4622,5359,5366,5280,5104,5284,5072,5805,358,4926,5782,5799,312,4484,5278,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171,262,167,170,263,158,229,172,256,259,257,258,250,249,253,177,254,198,204,203,182,251,197,195,103,207,205,194,193,208,186,266,201,247,240,202,181,184,227,188,244,209,185,245,231,161,183,190,243,196,166,179,232,212,210,255])).
% 98.67/98.76  cnf(5817,plain,
% 98.67/98.76     (P1(x58171,x58171,x58172)),
% 98.67/98.76     inference(rename_variables,[],[5258])).
% 98.67/98.76  cnf(5819,plain,
% 98.67/98.76     (P3(f24(a20,x58191),a20,x58191)),
% 98.67/98.76     inference(scs_inference,[],[142,5551,5776,5441,5479,5789,5485,5741,5765,5565,5623,5626,5705,5708,5713,5725,5729,5733,5738,5744,5752,5755,5758,5532,4566,5395,5409,5424,5475,4432,4470,4669,4803,4942,5347,5449,5451,5453,5455,5457,5463,5497,5568,5606,5619,4994,5148,5248,5602,5721,5775,5330,5473,5516,5553,5546,5558,5575,5244,5339,5258,5790,5809,5817,4622,4540,5359,5366,5280,5104,5284,5072,5805,358,4926,5782,5799,5806,312,4484,5278,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171,262,167,170,263,158,229,172,256,259,257,258,250,249,253,177,254,198,204,203,182,251,197,195,103,207,205,194,193,208,186,266,201,247,240,202,181,184,227,188,244,209,185,245,231,161,183,190,243,196,166,179,232,212,210,255,211,163])).
% 98.67/98.76  cnf(5827,plain,
% 98.67/98.76     (P10(a15,a15,a15,a2)),
% 98.67/98.76     inference(scs_inference,[],[142,5551,5776,5441,5479,5789,5485,5741,5765,5565,5623,5626,5705,5708,5713,5725,5729,5733,5738,5744,5752,5755,5758,5532,4566,5395,5409,5424,5475,4432,4470,4669,4803,4942,5347,5449,5451,5453,5455,5457,5463,5497,5568,5606,5619,4994,5148,5248,5602,5721,5775,5330,5473,5516,5553,5546,5558,5575,5244,5339,5258,5790,5809,5817,4622,4540,5359,5366,5280,5104,5284,5072,5805,358,4926,5782,5799,5806,312,4484,5278,635,854,1506,1622,1611,445,174,173,261,191,168,155,228,157,175,260,230,156,160,169,171,262,167,170,263,158,229,172,256,259,257,258,250,249,253,177,254,198,204,203,182,251,197,195,103,207,205,194,193,208,186,266,201,247,240,202,181,184,227,188,244,209,185,245,231,161,183,190,243,196,166,179,232,212,210,255,211,163,2,1125,1232,237])).
% 98.67/98.76  cnf(5844,plain,
% 98.67/98.76     (P10(a15,a17,a15,a18)),
% 98.67/98.76     inference(scs_inference,[],[5672,593])).
% 98.67/98.76  cnf(5845,plain,
% 98.67/98.76     (P9(x58451,x58452,x58451,x58452)),
% 98.67/98.76     inference(rename_variables,[],[5672])).
% 98.67/98.76  cnf(5847,plain,
% 98.67/98.76     (P10(a15,a16,a22,a17)),
% 98.67/98.76     inference(scs_inference,[],[5672,5845,593,854])).
% 98.67/98.76  cnf(5848,plain,
% 98.67/98.76     (P9(x58481,x58482,x58481,x58482)),
% 98.67/98.76     inference(rename_variables,[],[5672])).
% 98.67/98.76  cnf(5850,plain,
% 98.67/98.76     (P10(a16,a17,a16,a18)),
% 98.67/98.76     inference(scs_inference,[],[5672,5845,5848,593,854,635])).
% 98.67/98.76  cnf(5851,plain,
% 98.67/98.76     (P9(x58511,x58512,x58511,x58512)),
% 98.67/98.76     inference(rename_variables,[],[5672])).
% 98.67/98.76  cnf(5856,plain,
% 98.67/98.76     (P10(a2,a16,a16,a16)),
% 98.67/98.76     inference(scs_inference,[],[5672,5845,5848,5688,5652,593,854,635,1506,237])).
% 98.67/98.76  cnf(5858,plain,
% 98.67/98.76     (P1(a15,a17,a18)),
% 98.67/98.76     inference(scs_inference,[],[5672,5845,5848,5688,5652,593,854,635,1506,237,164])).
% 98.67/98.76  cnf(5860,plain,
% 98.67/98.76     (P5(a1,a15,a1,a2)),
% 98.67/98.76     inference(scs_inference,[],[5672,5845,5848,5688,5748,5652,593,854,635,1506,237,164,174])).
% 98.67/98.76  cnf(5862,plain,
% 98.67/98.76     (P10(a17,a16,a18,a16)),
% 98.67/98.76     inference(scs_inference,[],[5672,5845,5848,5688,5622,5748,5652,593,854,635,1506,237,164,174,168])).
% 98.67/98.76  cnf(5870,plain,
% 98.67/98.76     (P1(a20,a1,a17)),
% 98.67/98.76     inference(scs_inference,[],[5672,5845,5848,5227,5688,5622,5660,5748,5762,5652,5676,593,854,635,1506,237,164,174,168,191,261,157,155])).
% 98.67/98.76  cnf(5872,plain,
% 98.67/98.76     (P5(x58721,x58722,x58722,x58723)),
% 98.67/98.76     inference(scs_inference,[],[5672,5845,5848,5638,5227,5688,5622,5660,5748,5762,5652,5676,593,854,635,1506,237,164,174,168,191,261,157,155,175])).
% 98.67/98.76  cnf(5876,plain,
% 98.67/98.76     (P8(x58761,x58762,x58761,x58763,x58762,x58762,x58762,x58763)),
% 98.67/98.76     inference(scs_inference,[],[5672,5845,5848,5638,5640,5227,5688,5622,5660,5746,5748,5762,5652,5676,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228])).
% 98.67/98.76  cnf(5882,plain,
% 98.67/98.76     (P9(a2,a2,a19,a19)),
% 98.67/98.76     inference(scs_inference,[],[5672,5845,5848,5638,5640,5227,5688,5088,5357,5622,5648,5660,5746,5748,5762,5652,5676,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169])).
% 98.67/98.76  cnf(5886,plain,
% 98.67/98.76     (P10(a16,a18,a17,a16)),
% 98.67/98.76     inference(scs_inference,[],[5672,5845,5848,5638,5640,5227,5688,5019,5088,5357,5622,5648,5660,5746,5748,5762,5652,5676,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167])).
% 98.67/98.76  cnf(5888,plain,
% 98.67/98.76     (P4(a1,a17,a1,a20)),
% 98.67/98.76     inference(scs_inference,[],[5672,5845,5848,5638,5640,5227,5688,5019,5088,5357,5622,5648,5660,5746,5748,5762,5795,5652,5676,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160])).
% 98.67/98.76  cnf(5890,plain,
% 98.67/98.76     (P7(a16,a22,a16,a22,a22,a16,a22,a16)),
% 98.67/98.76     inference(scs_inference,[],[5672,5845,5848,5638,5640,5227,5688,5019,5088,5357,5622,5648,5660,5746,5748,5762,5795,5652,5676,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263])).
% 98.67/98.76  cnf(5892,plain,
% 98.67/98.76     (P7(a22,a16,a22,a16,a16,a22,a22,a16)),
% 98.67/98.76     inference(scs_inference,[],[5672,5845,5848,5638,5640,5227,5688,5019,5088,5357,5622,5648,5660,5746,5748,5762,5795,5652,5676,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262])).
% 98.67/98.76  cnf(5894,plain,
% 98.67/98.76     (P9(a21,a21,a2,a16)),
% 98.67/98.76     inference(scs_inference,[],[5672,5845,5848,5638,5640,5227,5688,5019,5088,5357,5465,5622,5648,5660,5746,5748,5762,5795,5652,5676,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262,170])).
% 98.67/98.76  cnf(5898,plain,
% 98.67/98.76     (P3(a1,a20,a17)),
% 98.67/98.76     inference(scs_inference,[],[5672,5845,5848,5638,5640,5227,5447,5688,5019,5088,5357,5465,5622,5648,5660,5746,5748,5762,5795,5652,5676,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262,170,229,158])).
% 98.67/98.76  cnf(5900,plain,
% 98.67/98.76     (P4(a16,a22,a22,a15)),
% 98.67/98.76     inference(scs_inference,[],[5672,5845,5848,5638,5640,5227,5447,5688,5019,5088,5357,5465,5622,5648,5660,5666,5746,5748,5762,5795,5652,5676,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262,170,229,158,172])).
% 98.67/98.76  cnf(5902,plain,
% 98.67/98.76     (P8(x59021,x59022,x59021,x59021,x59023,x59022,x59023,x59021)),
% 98.67/98.76     inference(scs_inference,[],[5650,5672,5845,5848,5638,5640,5227,5447,5688,5019,5088,5357,5465,5622,5648,5660,5666,5746,5748,5762,5795,5652,5676,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262,170,229,158,172,256])).
% 98.67/98.76  cnf(5904,plain,
% 98.67/98.76     (P8(x59041,x59042,x59043,x59042,x59041,x59043,x59043,x59043)),
% 98.67/98.76     inference(scs_inference,[],[5650,5672,5845,5848,5638,5640,5227,5447,5688,5019,5088,5357,5465,5622,5648,5660,5666,5746,5748,5762,5795,5652,5676,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262,170,229,158,172,256,259])).
% 98.67/98.76  cnf(5913,plain,
% 98.67/98.76     (P9(x59131,x59132,x59132,x59131)),
% 98.67/98.76     inference(rename_variables,[],[5565])).
% 98.67/98.76  cnf(5916,plain,
% 98.67/98.76     (P8(x59161,x59162,x59162,x59161,x59163,x59164,x59163,x59164)),
% 98.67/98.76     inference(rename_variables,[],[5284])).
% 98.67/98.76  cnf(5918,plain,
% 98.67/98.76     (P4(f7(x59181,x59181,x59181,x59181),x59181,f7(x59181,x59181,x59181,x59181),x59181)),
% 98.67/98.76     inference(scs_inference,[],[5788,5650,5672,5845,5848,5638,5640,5227,5447,5481,5688,5019,5088,5357,5465,5622,5648,5660,5666,5746,5748,5762,5795,5644,5652,5676,5565,5284,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262,170,229,158,172,256,259,257,258,234,180,253,177])).
% 98.67/98.76  cnf(5932,plain,
% 98.67/98.76     (P9(x59321,x59322,x59321,x59322)),
% 98.67/98.76     inference(rename_variables,[],[5672])).
% 98.67/98.76  cnf(5935,plain,
% 98.67/98.76     (P9(x59351,x59352,x59351,x59352)),
% 98.67/98.76     inference(rename_variables,[],[5672])).
% 98.67/98.76  cnf(5937,plain,
% 98.67/98.76     (P1(f5(x59371,x59371,x59372),x59372,x59371)),
% 98.67/98.76     inference(scs_inference,[],[5788,5650,5672,5845,5848,5851,5932,5935,5638,5640,5227,5447,5481,5688,5019,5088,5357,5465,5622,5648,5660,5666,5746,5748,5762,5795,5644,5652,5676,5530,5565,5913,5284,5916,4410,5497,4472,5151,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262,170,229,158,172,256,259,257,258,234,180,253,177,192,198,254,197,204,203,182])).
% 98.67/98.76  cnf(5939,plain,
% 98.67/98.76     (P10(f27(x59391,x59391,x59391,x59391,x59391,x59391),x59391,x59391,x59391)),
% 98.67/98.76     inference(scs_inference,[],[5788,5650,5672,5845,5848,5851,5932,5935,5638,5640,5227,5447,5481,5688,5019,5088,5357,5465,5622,5648,5660,5666,5746,5748,5762,5795,5644,5652,5676,5530,5565,5913,5284,5916,4410,5497,4472,5151,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262,170,229,158,172,256,259,257,258,234,180,253,177,192,198,254,197,204,203,182,208])).
% 98.67/98.76  cnf(5942,plain,
% 98.67/98.76     (P9(x59421,x59422,x59421,x59422)),
% 98.67/98.76     inference(rename_variables,[],[5672])).
% 98.67/98.76  cnf(5944,plain,
% 98.67/98.76     (P3(f27(x59441,x59441,x59441,x59441,x59441,x59441),x59441,x59441)),
% 98.67/98.76     inference(scs_inference,[],[5788,5650,5672,5845,5848,5851,5932,5935,5638,5640,5227,5447,5481,5688,5019,5088,5357,5465,5622,5648,5660,5666,5746,5748,5762,5795,5644,5652,5676,5530,5565,5913,5284,5916,4410,5497,4472,5151,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262,170,229,158,172,256,259,257,258,234,180,253,177,192,198,254,197,204,203,182,208,205,207])).
% 98.67/98.76  cnf(5946,plain,
% 98.67/98.76     (P9(x59461,f5(x59461,x59461,x59462),x59462,x59461)),
% 98.67/98.76     inference(scs_inference,[],[5788,5650,5672,5845,5848,5851,5932,5935,5942,5638,5640,5227,5447,5481,5688,5019,5088,5357,5465,5622,5648,5660,5666,5746,5748,5762,5795,5644,5652,5676,5530,5565,5913,5284,5916,4410,5497,4472,5151,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262,170,229,158,172,256,259,257,258,234,180,253,177,192,198,254,197,204,203,182,208,205,207,194])).
% 98.67/98.76  cnf(5948,plain,
% 98.67/98.76     (P9(a15,a2,a2,a2)),
% 98.67/98.76     inference(scs_inference,[],[5788,5650,5672,5845,5848,5851,5932,5935,5942,5638,5640,5227,5447,5481,5688,5019,5088,5357,5465,5622,5648,5660,5666,5746,5748,5762,5795,5644,5652,5676,5530,5565,5913,5258,5284,5916,4410,5497,4472,5151,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262,170,229,158,172,256,259,257,258,234,180,253,177,192,198,254,197,204,203,182,208,205,207,194,176])).
% 98.67/98.76  cnf(5949,plain,
% 98.67/98.76     (P1(x59491,x59491,x59492)),
% 98.67/98.76     inference(rename_variables,[],[5258])).
% 98.67/98.76  cnf(5956,plain,
% 98.67/98.76     (P9(x59561,f4(x59561,x59561,x59562),x59562,x59561)),
% 98.67/98.76     inference(scs_inference,[],[1335,5788,5650,5672,5845,5848,5851,5932,5935,5942,5638,5640,5227,5447,5481,5688,5019,5088,5357,5465,5622,5648,5660,5666,5746,5748,5762,5795,5644,5652,5676,5530,5565,5913,5258,5284,5916,4410,5497,4472,5151,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262,170,229,158,172,256,259,257,258,234,180,253,177,192,198,254,197,204,203,182,208,205,207,194,176,202,266,193])).
% 98.67/98.76  cnf(5961,plain,
% 98.67/98.76     (P9(x59611,x59612,x59611,x59612)),
% 98.67/98.76     inference(rename_variables,[],[5672])).
% 98.67/98.76  cnf(5963,plain,
% 98.67/98.76     (~P10(a18,a19,f12(a16,a15,a15,a2,a15),a16)),
% 98.67/98.76     inference(scs_inference,[],[1335,5788,5650,5672,5845,5848,5851,5932,5935,5942,5961,5638,5640,5227,5447,5481,5688,5019,5088,5357,5465,5622,5648,5660,5666,5746,5748,5762,5795,5644,5652,5676,5537,5530,5565,5913,5258,5284,5916,4410,5497,4472,5151,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262,170,229,158,172,256,259,257,258,234,180,253,177,192,198,254,197,204,203,182,208,205,207,194,176,202,266,193,227,201,186])).
% 98.67/98.76  cnf(5964,plain,
% 98.67/98.76     (P9(x59641,x59642,x59641,x59642)),
% 98.67/98.76     inference(rename_variables,[],[5672])).
% 98.67/98.76  cnf(5966,plain,
% 98.67/98.76     (P1(f4(x59661,x59661,x59662),x59662,x59661)),
% 98.67/98.76     inference(scs_inference,[],[1335,5788,5650,5672,5845,5848,5851,5932,5935,5942,5961,5964,5638,5640,5227,5447,5481,5688,5019,5088,5357,5465,5622,5648,5660,5666,5746,5748,5762,5795,5644,5652,5676,5537,5530,5565,5913,5258,5284,5916,4410,5497,4472,5151,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262,170,229,158,172,256,259,257,258,234,180,253,177,192,198,254,197,204,203,182,208,205,207,194,176,202,266,193,227,201,186,181])).
% 98.67/98.76  cnf(5968,plain,
% 98.67/98.76     (P2(a21,a16,a16,a16)),
% 98.67/98.76     inference(scs_inference,[],[1335,5788,5650,5672,5845,5848,5851,5932,5935,5942,5961,5964,5638,5640,5227,5447,5481,5688,5019,5088,5357,5465,5622,5648,5660,5666,5746,5748,5762,5795,5644,5652,5676,5537,5530,5565,5913,5258,5284,5916,4410,5497,4472,5151,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262,170,229,158,172,256,259,257,258,234,180,253,177,192,198,254,197,204,203,182,208,205,207,194,176,202,266,193,227,201,186,181,188])).
% 98.67/98.76  cnf(5970,plain,
% 98.67/98.76     (~P9(a19,a18,a16,f12(a16,a15,a15,a2,a15))),
% 98.67/98.76     inference(scs_inference,[],[1335,5788,5650,5672,5845,5848,5851,5932,5935,5942,5961,5964,5638,5640,5227,5447,5481,5688,5019,5088,5357,5465,5622,5648,5660,5666,5746,5748,5762,5795,5644,5652,5676,5737,5537,5530,5565,5913,5258,5284,5916,4410,5497,4472,5151,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262,170,229,158,172,256,259,257,258,234,180,253,177,192,198,254,197,204,203,182,208,205,207,194,176,202,266,193,227,201,186,181,188,184])).
% 98.67/98.76  cnf(5971,plain,
% 98.67/98.76     (P9(x59711,x59712,x59711,x59712)),
% 98.67/98.76     inference(rename_variables,[],[5672])).
% 98.67/98.76  cnf(5982,plain,
% 98.67/98.76     (P3(f24(a16,x59821),x59821,a16)),
% 98.67/98.76     inference(rename_variables,[],[4954])).
% 98.67/98.76  cnf(5984,plain,
% 98.67/98.76     (P9(a16,a15,a22,a22)),
% 98.67/98.76     inference(scs_inference,[],[1335,5788,5650,5672,5845,5848,5851,5932,5935,5942,5961,5964,5971,5638,5640,5227,5447,5481,5682,5688,5019,5088,5357,5465,5622,5648,5660,5666,5746,5748,5762,5795,5644,5652,5676,5737,5537,5530,5565,5913,5258,5284,5916,4410,5497,4954,4472,5151,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262,170,229,158,172,256,259,257,258,234,180,253,177,192,198,254,197,204,203,182,208,205,207,194,176,202,266,193,227,201,186,181,188,184,245,209,244,161,185])).
% 98.67/98.76  cnf(5986,plain,
% 98.67/98.76     (P10(a16,a15,a17,a22)),
% 98.67/98.76     inference(scs_inference,[],[1335,5788,5650,5672,5845,5848,5851,5932,5935,5942,5961,5964,5971,5638,5640,5227,5447,5481,5682,5688,5019,5088,5357,5465,5622,5625,5648,5660,5666,5746,5748,5762,5795,5644,5652,5676,5737,5537,5530,5565,5913,5258,5284,5916,4410,5497,4926,4954,4472,5151,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262,170,229,158,172,256,259,257,258,234,180,253,177,192,198,254,197,204,203,182,208,205,207,194,176,202,266,193,227,201,186,181,188,184,245,209,244,161,185,183])).
% 98.67/98.76  cnf(5987,plain,
% 98.67/98.76     (P10(x59871,x59872,x59872,x59871)),
% 98.67/98.76     inference(rename_variables,[],[4926])).
% 98.67/98.76  cnf(5991,plain,
% 98.67/98.76     (P9(a16,a21,a21,a21)),
% 98.67/98.76     inference(scs_inference,[],[1335,5788,5650,5672,5845,5848,5851,5932,5935,5942,5961,5964,5971,5638,5640,5227,5447,5481,5682,5688,5019,5088,5357,5465,5622,5625,5648,5660,5666,5746,5748,5762,5795,5644,5652,5676,4695,5737,5537,5572,5530,5565,5913,5379,5258,5284,5916,4410,5497,4926,4954,4472,5151,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262,170,229,158,172,256,259,257,258,234,180,253,177,192,198,254,197,204,203,182,208,205,207,194,176,202,266,193,227,201,186,181,188,184,245,209,244,161,185,183,231,199])).
% 98.67/98.76  cnf(5993,plain,
% 98.67/98.76     (P5(x59931,x59932,x59933,x59931)),
% 98.67/98.76     inference(rename_variables,[],[5640])).
% 98.67/98.76  cnf(5995,plain,
% 98.67/98.76     (P3(f6(x59951,x59951,x59951),x59951,x59951)),
% 98.67/98.76     inference(scs_inference,[],[1335,5788,5650,5672,5845,5848,5851,5932,5935,5942,5961,5964,5971,5638,5640,5227,5447,5481,5682,5688,5019,5088,5357,5465,5622,5625,5648,5660,5666,5746,5748,5762,5795,5644,5652,5676,4695,5737,5537,5572,5530,5565,5913,5379,5258,5284,5916,4410,5497,4926,4954,4472,5151,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262,170,229,158,172,256,259,257,258,234,180,253,177,192,198,254,197,204,203,182,208,205,207,194,176,202,266,193,227,201,186,181,188,184,245,209,244,161,185,183,231,199,190])).
% 98.67/98.76  cnf(5999,plain,
% 98.67/98.76     (P3(a17,a16,a16)),
% 98.67/98.76     inference(scs_inference,[],[1335,5788,5650,5672,5845,5848,5851,5932,5935,5942,5961,5964,5971,5638,5640,5227,5447,5481,5682,5688,5019,5088,5357,5465,5622,5625,5648,5660,5666,5746,5748,5762,5795,5644,5652,5676,4695,5737,5537,5572,5530,5565,5913,4952,5379,5258,5284,5916,4410,5497,4936,4926,4430,4954,4472,5151,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262,170,229,158,172,256,259,257,258,234,180,253,177,192,198,254,197,204,203,182,208,205,207,194,176,202,266,193,227,201,186,181,188,184,245,209,244,161,185,183,231,199,190,166])).
% 98.67/98.76  cnf(6004,plain,
% 98.67/98.76     (P3(x60041,x60041,x60041)),
% 98.67/98.76     inference(rename_variables,[],[5788])).
% 98.67/98.76  cnf(6009,plain,
% 98.67/98.76     (P1(x60091,x60091,x60092)),
% 98.67/98.76     inference(rename_variables,[],[5258])).
% 98.67/98.77  cnf(6010,plain,
% 98.67/98.77     (P3(x60101,x60101,x60101)),
% 98.67/98.77     inference(rename_variables,[],[5788])).
% 98.67/98.77  cnf(6014,plain,
% 98.67/98.77     (P1(x60141,x60142,x60141)),
% 98.67/98.77     inference(rename_variables,[],[5072])).
% 98.67/98.77  cnf(6016,plain,
% 98.67/98.77     (P3(x60161,x60161,x60161)),
% 98.67/98.77     inference(rename_variables,[],[5788])).
% 98.67/98.77  cnf(6018,plain,
% 98.67/98.77     (P4(a1,a1,a2,a2)),
% 98.67/98.77     inference(scs_inference,[],[1335,5788,6004,6010,5650,5654,5672,5845,5848,5851,5932,5935,5942,5961,5964,5971,5638,5640,5227,5447,5481,5682,5688,5019,5088,5357,5465,5622,5625,5648,5660,5666,5670,5746,5748,5762,5764,5795,5827,5644,5652,5676,4695,5737,5537,5572,5530,5479,5565,5913,4952,5473,5379,5258,5949,5284,5916,5072,4410,5497,4936,4926,5987,4430,4954,4912,4472,5151,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262,170,229,158,172,256,259,257,258,234,180,253,177,192,198,254,197,204,203,182,208,205,207,194,176,202,266,193,227,201,186,181,188,184,245,209,244,161,185,183,231,199,190,166,196,179,213,212,255])).
% 98.67/98.77  cnf(6022,plain,
% 98.67/98.77     (P1(x60221,x60221,x60222)),
% 98.67/98.77     inference(rename_variables,[],[5258])).
% 98.67/98.77  cnf(6033,plain,
% 98.67/98.77     (P10(a21,a21,a21,a17)),
% 98.67/98.77     inference(scs_inference,[],[1335,5788,6004,6010,6016,5650,5654,5672,5845,5848,5851,5932,5935,5942,5961,5964,5971,5638,5640,5227,5447,5481,5682,5688,5019,5088,5357,5465,5622,5625,5648,5660,5666,5670,5746,5748,5762,5764,5795,5827,5644,4452,5652,5676,4695,5737,5537,5572,5530,4568,5479,5565,5913,4952,5473,5379,5258,5949,6009,5449,5284,5916,5072,6014,4410,5497,4936,4926,5987,4430,4954,5982,4912,4472,5151,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262,170,229,158,172,256,259,257,258,234,180,253,177,192,198,254,197,204,203,182,208,205,207,194,176,202,266,193,227,201,186,181,188,184,245,209,244,161,185,183,231,199,190,166,196,179,213,212,255,211,163,1125,1232,707])).
% 98.67/98.77  cnf(6045,plain,
% 98.67/98.77     (P5(a16,a17,a16,a18)),
% 98.67/98.77     inference(scs_inference,[],[1335,5788,6004,6010,6016,5650,5654,5672,5845,5848,5851,5932,5935,5942,5961,5964,5971,5638,5640,5227,5447,5481,5682,5688,5019,5088,5357,5465,5622,5625,5648,5660,5666,5670,5746,5748,5762,5764,5795,5827,5644,4452,5652,5676,4695,5737,5537,5572,5530,4568,5479,5565,5913,4952,5473,5379,5258,5949,6009,5449,5284,5916,5072,6014,4410,5497,4936,4926,5987,4430,4954,5982,4912,4472,5151,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262,170,229,158,172,256,259,257,258,234,180,253,177,192,198,254,197,204,203,182,208,205,207,194,176,202,266,193,227,201,186,181,188,184,245,209,244,161,185,183,231,199,190,166,196,179,213,212,255,211,163,1125,1232,707,655,1622,1589,1611,1214,173])).
% 98.67/98.77  cnf(6051,plain,
% 98.67/98.77     (P2(f8(a15,a2,a2),a15,a2,a2)),
% 98.67/98.77     inference(scs_inference,[],[1335,5788,6004,6010,6016,5650,5654,5672,5845,5848,5851,5932,5935,5942,5961,5964,5971,5638,5640,5993,5227,5447,5481,5682,5688,5019,5088,5357,5465,5622,5625,5648,5660,5666,5670,5746,5748,5762,5764,5795,5827,5644,4452,5652,5676,4695,5737,5778,5537,5572,5530,4568,5479,5565,5913,4952,5473,5379,5258,5949,6009,5449,5284,5916,5072,6014,4410,5497,4936,4926,5987,4430,4954,5982,4912,4472,5151,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262,170,229,158,172,256,259,257,258,234,180,253,177,192,198,254,197,204,203,182,208,205,207,194,176,202,266,193,227,201,186,181,188,184,245,209,244,161,185,183,231,199,190,166,196,179,213,212,255,211,163,1125,1232,707,655,1622,1589,1611,1214,173,165,242,195])).
% 98.67/98.77  cnf(6054,plain,
% 98.67/98.77     (~P1(a18,a18,a2)+~P4(f24(a15,a19),a2,f24(a15,a19),a18)),
% 98.67/98.77     inference(scs_inference,[],[1335,5788,6004,6010,6016,5650,5654,5672,5845,5848,5851,5932,5935,5942,5961,5964,5971,5638,5640,5993,5227,5447,5481,5682,5688,5019,5088,5357,5465,5622,5625,5648,5660,5666,5670,5746,5748,5762,5764,5795,5827,5644,4452,5652,5676,4695,5737,5778,5537,5572,5530,4568,5479,5565,5913,4952,5473,5379,5258,5949,6009,6022,5449,5284,5916,5072,6014,4410,5497,4936,4926,5987,4430,4954,5982,4912,4472,5151,593,854,635,1506,237,164,174,168,191,261,157,155,175,230,228,156,260,169,171,167,160,263,262,170,229,158,172,256,259,257,258,234,180,253,177,192,198,254,197,204,203,182,208,205,207,194,176,202,266,193,227,201,186,181,188,184,245,209,244,161,185,183,231,199,190,166,196,179,213,212,255,211,163,1125,1232,707,655,1622,1589,1611,1214,173,165,242,195,159])).
% 98.67/98.77  cnf(6062,plain,
% 98.67/98.77     (~P4(f24(a15,a19),a2,f24(a15,a19),a18)),
% 98.67/98.77     inference(scs_inference,[],[5258,6054])).
% 98.67/98.77  cnf(6063,plain,
% 98.67/98.77     (P1(x60631,x60631,x60632)),
% 98.67/98.77     inference(rename_variables,[],[5258])).
% 98.67/98.77  cnf(6065,plain,
% 98.67/98.77     (P10(f27(x60651,x60651,x60651,x60651,x60651,x60651),x60651,x60651,x60651)),
% 98.67/98.77     inference(rename_variables,[],[5939])).
% 98.67/98.77  cnf(6068,plain,
% 98.67/98.77     (P1(f5(x60681,x60681,x60682),x60682,x60681)),
% 98.67/98.77     inference(rename_variables,[],[5937])).
% 98.67/98.77  cnf(6071,plain,
% 98.67/98.77     (P9(x60711,f5(x60711,x60711,x60712),x60712,x60711)),
% 98.67/98.77     inference(rename_variables,[],[5946])).
% 98.67/98.77  cnf(6074,plain,
% 98.67/98.77     (P9(x60741,f5(x60741,x60741,x60742),x60742,x60741)),
% 98.67/98.77     inference(rename_variables,[],[5946])).
% 98.67/98.77  cnf(6077,plain,
% 98.67/98.77     (P1(f5(x60771,x60771,x60772),x60772,x60771)),
% 98.67/98.77     inference(rename_variables,[],[5937])).
% 98.67/98.77  cnf(6080,plain,
% 98.67/98.77     (P10(f27(x60801,x60801,x60801,x60801,x60801,x60801),x60801,x60801,x60801)),
% 98.67/98.77     inference(rename_variables,[],[5939])).
% 98.67/98.77  cnf(6083,plain,
% 98.67/98.77     (P9(x60831,f5(x60831,x60831,x60832),x60832,x60831)),
% 98.67/98.77     inference(rename_variables,[],[5946])).
% 98.67/98.77  cnf(6086,plain,
% 98.67/98.77     (P1(f5(x60861,x60861,x60862),x60862,x60861)),
% 98.67/98.77     inference(rename_variables,[],[5937])).
% 98.67/98.77  cnf(6089,plain,
% 98.67/98.77     (P1(f5(x60891,x60891,x60892),x60892,x60891)),
% 98.67/98.77     inference(rename_variables,[],[5937])).
% 98.67/98.77  cnf(6095,plain,
% 98.67/98.77     (P1(f5(x60951,x60951,x60952),x60952,x60951)),
% 98.67/98.77     inference(rename_variables,[],[5937])).
% 98.67/98.77  cnf(6097,plain,
% 98.67/98.77     (P1(a16,a17,a18)),
% 98.67/98.77     inference(scs_inference,[],[5850,5939,6065,5946,6071,6074,6083,5937,6068,6077,6086,6089,5258,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164])).
% 98.67/98.77  cnf(6099,plain,
% 98.67/98.77     (P5(x60991,x60992,x60991,x60993)),
% 98.67/98.77     inference(scs_inference,[],[5872,5850,5939,6065,5946,6071,6074,6083,5937,6068,6077,6086,6089,5258,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173])).
% 98.67/98.77  cnf(6105,plain,
% 98.67/98.77     (P1(a17,a15,a18)),
% 98.67/98.77     inference(scs_inference,[],[5872,5850,5858,6045,5939,6065,5946,6071,6074,6083,5937,6068,6077,6086,6089,5258,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155])).
% 98.67/98.77  cnf(6119,plain,
% 98.67/98.77     (P1(a15,a18,a17)),
% 98.67/98.77     inference(scs_inference,[],[5872,5230,5850,5858,5860,5888,5968,6045,5939,6065,5946,6071,6074,6083,5937,6068,6077,6086,6089,5819,5748,5258,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156])).
% 98.67/98.77  cnf(6123,plain,
% 98.67/98.77     (P10(a16,a18,a16,a17)),
% 98.67/98.77     inference(scs_inference,[],[5872,5230,5850,5264,5858,5860,5888,5968,6045,5939,6065,5946,6071,6074,6083,5937,6068,6077,6086,6089,5819,5748,5258,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167])).
% 98.67/98.77  cnf(6125,plain,
% 98.67/98.77     (P9(a16,a15,a17,a22)),
% 98.67/98.77     inference(scs_inference,[],[5872,5230,5850,5264,5771,5858,5860,5888,5968,6045,5939,6065,5946,6071,6074,6083,5937,6068,6077,6086,6089,5819,5748,5258,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170])).
% 98.67/98.77  cnf(6127,plain,
% 98.67/98.77     (P4(a15,a22,a22,a15)),
% 98.67/98.77     inference(scs_inference,[],[5872,5230,5850,5264,5477,5771,5858,5860,5888,5968,6045,5939,6065,5946,6071,6074,6083,5937,6068,6077,6086,6089,5819,5748,5258,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170,171])).
% 98.67/98.77  cnf(6129,plain,
% 98.67/98.77     (P9(a22,a22,a15,a16)),
% 98.67/98.77     inference(scs_inference,[],[5872,5230,5850,5264,5477,5769,5771,5858,5860,5888,5968,6045,5939,6065,5946,6071,6074,6083,5937,6068,6077,6086,6089,5819,5748,5258,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170,171,169])).
% 98.67/98.77  cnf(6131,plain,
% 98.67/98.77     (P4(a1,a20,a1,a17)),
% 98.67/98.77     inference(scs_inference,[],[5872,5230,5850,5264,5477,5769,5771,5858,5860,5888,5898,5968,6045,5939,6065,5946,6071,6074,6083,5937,6068,6077,6086,6089,5819,5748,5258,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170,171,169,160])).
% 98.67/98.77  cnf(6133,plain,
% 98.67/98.77     (P7(a20,a16,a20,a16,a16,a20,a20,a16)),
% 98.67/98.77     inference(scs_inference,[],[5872,5230,5850,5264,5477,5769,5771,5858,5860,5888,5898,5968,6045,5939,6065,5946,6071,6074,6083,5937,6068,6077,6086,6089,5819,5748,5258,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170,171,169,160,262])).
% 98.67/98.77  cnf(6135,plain,
% 98.67/98.77     (P7(a16,a20,a16,a20,a20,a16,a20,a16)),
% 98.67/98.77     inference(scs_inference,[],[5872,5230,5850,5264,5477,5769,5771,5858,5860,5888,5898,5968,6045,5939,6065,5946,6071,6074,6083,5937,6068,6077,6086,6089,5819,5748,5258,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170,171,169,160,262,263])).
% 98.67/98.77  cnf(6141,plain,
% 98.67/98.77     (P4(a1,a17,a20,a1)),
% 98.67/98.77     inference(scs_inference,[],[5872,5230,5850,5264,5477,5769,5771,5858,5860,5888,5898,5968,6045,5939,6065,5946,6071,6074,6083,5937,6068,6077,6086,6089,5819,5748,5258,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170,171,169,160,262,263,229,158,172])).
% 98.67/98.77  cnf(6143,plain,
% 98.67/98.77     (P8(x61431,x61431,x61431,x61432,x61433,x61431,x61433,x61432)),
% 98.67/98.77     inference(scs_inference,[],[5876,5872,5230,5850,5264,5477,5769,5771,5858,5860,5888,5898,5968,6045,5939,6065,5946,6071,6074,6083,5937,6068,6077,6086,6089,5819,5748,5258,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170,171,169,160,262,263,229,158,172,256])).
% 98.67/98.77  cnf(6147,plain,
% 98.67/98.77     (P8(x61471,x61472,x61473,x61472,x61471,x61471,x61473,x61471)),
% 98.67/98.77     inference(scs_inference,[],[5876,5904,5872,5230,5850,5264,5477,5769,5771,5858,5860,5888,5898,5968,6045,5939,6065,5946,6071,6074,6083,5937,6068,6077,6086,6089,5819,5748,5258,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170,171,169,160,262,263,229,158,172,256,259,257])).
% 98.67/98.77  cnf(6149,plain,
% 98.67/98.77     (P8(x61491,x61492,x61492,x61493,x61491,x61491,x61491,x61493)),
% 98.67/98.77     inference(scs_inference,[],[5876,5904,5872,5230,5850,5264,5477,5769,5771,5858,5860,5888,5898,5968,6045,5939,6065,5946,6071,6074,6083,5937,6068,6077,6086,6089,5819,5748,5258,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170,171,169,160,262,263,229,158,172,256,259,257,258])).
% 98.67/98.77  cnf(6154,plain,
% 98.67/98.77     (P1(x61541,x61541,x61542)),
% 98.67/98.77     inference(rename_variables,[],[5258])).
% 98.67/98.77  cnf(6159,plain,
% 98.67/98.77     (P9(x61591,x61592,x61592,x61591)),
% 98.67/98.77     inference(rename_variables,[],[5565])).
% 98.67/98.77  cnf(6161,plain,
% 98.67/98.77     (P4(x61611,x61611,x61611,f3(x61611,x61611,x61611))),
% 98.67/98.77     inference(scs_inference,[],[5876,5904,5872,5230,5850,5264,5477,5769,5771,5858,5860,5888,5898,5968,6045,5939,6065,5946,6071,6074,6083,5937,6068,6077,6086,6089,5819,5292,5970,5707,5658,5672,5565,5748,5737,5379,5258,6063,5455,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170,171,169,160,262,263,229,158,172,256,259,257,258,242,165,253,177,192])).
% 98.67/98.77  cnf(6162,plain,
% 98.67/98.77     (P9(x61621,x61622,x61621,x61622)),
% 98.67/98.77     inference(rename_variables,[],[5672])).
% 98.67/98.77  cnf(6164,plain,
% 98.67/98.77     (P1(f25(a16,a16,a15,a16),a15,a16)),
% 98.67/98.77     inference(scs_inference,[],[5876,5904,5872,5230,5850,5264,5477,5769,5771,5858,5860,5888,5898,5968,6045,5939,6065,5946,6071,6074,6083,5937,6068,6077,6086,6089,5819,5292,5970,5707,5658,5672,5565,5748,5737,5379,5258,6063,4888,5455,5345,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170,171,169,160,262,263,229,158,172,256,259,257,258,242,165,253,177,192,198])).
% 98.67/98.77  cnf(6167,plain,
% 98.67/98.77     (P9(x61671,x61672,x61671,x61672)),
% 98.67/98.77     inference(rename_variables,[],[5672])).
% 98.67/98.77  cnf(6170,plain,
% 98.67/98.77     (P8(a16,a16,x61701,x61702,a16,a2,x61701,x61702)),
% 98.67/98.77     inference(rename_variables,[],[5682])).
% 98.67/98.77  cnf(6171,plain,
% 98.67/98.77     (P9(x61711,x61712,x61711,x61712)),
% 98.67/98.77     inference(rename_variables,[],[5672])).
% 98.67/98.77  cnf(6174,plain,
% 98.67/98.77     (P9(x61741,x61742,x61742,x61741)),
% 98.67/98.77     inference(rename_variables,[],[5565])).
% 98.67/98.77  cnf(6184,plain,
% 98.67/98.77     (P9(x61841,x61842,x61842,x61841)),
% 98.67/98.77     inference(rename_variables,[],[5565])).
% 98.67/98.77  cnf(6186,plain,
% 98.67/98.77     (P1(x61861,f13(a2,a2,a15,a15,a1,a1),a1)),
% 98.67/98.77     inference(scs_inference,[],[5876,5904,5872,4817,5230,5850,5264,5477,5769,5771,5858,5860,5888,5898,5948,5968,6045,5939,6065,5946,6071,6074,6083,5937,6068,6077,6086,6089,5819,5292,5970,5707,5658,5672,6162,6167,5682,5179,5565,6159,6174,5748,5737,5379,5258,6063,6154,5104,4888,5455,5345,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170,171,169,160,262,263,229,158,172,256,259,257,258,242,165,253,177,192,198,203,254,204,251,207,208,182,159])).
% 98.67/98.77  cnf(6187,plain,
% 98.67/98.77     (P1(x61871,x61871,x61872)),
% 98.67/98.77     inference(rename_variables,[],[5258])).
% 98.67/98.77  cnf(6191,plain,
% 98.67/98.77     (P9(x61911,x61912,x61911,x61912)),
% 98.67/98.77     inference(rename_variables,[],[5672])).
% 98.67/98.77  cnf(6197,plain,
% 98.67/98.77     (P9(x61971,x61972,x61972,x61971)),
% 98.67/98.77     inference(rename_variables,[],[5565])).
% 98.67/98.77  cnf(6207,plain,
% 98.67/98.77     (P9(x62071,x62072,x62072,x62071)),
% 98.67/98.77     inference(rename_variables,[],[5565])).
% 98.67/98.77  cnf(6209,plain,
% 98.67/98.77     (P2(a1,a17,a20,a20)),
% 98.67/98.77     inference(scs_inference,[],[1353,5876,5904,5872,4817,5230,5850,5264,5477,5769,5771,5858,5860,5870,5888,5898,5948,5968,6045,5939,6065,5946,6071,6074,6083,5937,6068,6077,6086,6089,5819,5292,5970,5707,5658,5672,6162,6167,6171,6191,5682,6170,5179,5565,6159,6174,6184,6197,5748,5737,5379,5258,6063,6154,5104,4888,5455,5345,5151,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170,171,169,160,262,263,229,158,172,256,259,257,258,242,165,253,177,192,198,203,254,204,251,207,208,182,159,205,266,194,202,201,227,193,188])).
% 98.67/98.77  cnf(6219,plain,
% 98.67/98.77     (P10(a18,a17,a18,a18)),
% 98.67/98.77     inference(scs_inference,[],[1353,5876,5902,5904,5872,4817,5034,5230,5850,5264,5477,5769,5771,5858,5860,5870,5888,5898,5948,5968,6045,5939,6065,6080,5946,6071,6074,6083,5937,6068,6077,6086,6089,5819,5292,5970,5707,5658,5672,6162,6167,6171,6191,5682,6170,5179,5565,6159,6174,6184,6197,6207,5748,5737,5379,5258,6063,6154,5104,4888,5455,5345,5151,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170,171,169,160,262,263,229,158,172,256,259,257,258,242,165,253,177,192,198,203,254,204,251,207,208,182,159,205,266,194,202,201,227,193,188,186,181,184,244])).
% 98.67/98.77  cnf(6226,plain,
% 98.67/98.77     (P9(a16,a16,a16,a2)),
% 98.67/98.77     inference(scs_inference,[],[1353,5876,5902,5904,5872,4817,5034,5230,5850,5264,5477,5769,5771,5858,5860,5870,5888,5894,5898,5948,5968,6045,5939,6065,6080,5946,6071,6074,6083,5937,6068,6077,6086,6089,5819,5292,5970,5707,5658,5672,6162,6167,6171,6191,5682,6170,5179,5106,5565,6159,6174,6184,6197,6207,5748,5737,5379,5258,6063,6154,5104,4888,5455,5345,5151,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170,171,169,160,262,263,229,158,172,256,259,257,258,242,165,253,177,192,198,203,254,204,251,207,208,182,159,205,266,194,202,201,227,193,188,186,181,184,244,161,209,245])).
% 98.67/98.77  cnf(6229,plain,
% 98.67/98.77     (~P10(a19,a18,f12(a16,a15,a15,a2,a15),a16)),
% 98.67/98.77     inference(scs_inference,[],[1353,5876,5902,5904,5872,4817,5034,5230,5850,5264,5477,5769,5771,5858,5860,5870,5888,5894,5898,5948,5968,6045,5939,6065,6080,5946,6071,6074,6083,5937,6068,6077,6086,6089,5819,5292,5963,5970,5707,5658,5672,6162,6167,6171,6191,5682,6170,5179,5106,5565,6159,6174,6184,6197,6207,5748,5737,5379,5258,6063,6154,5104,4888,4926,5455,5345,5151,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170,171,169,160,262,263,229,158,172,256,259,257,258,242,165,253,177,192,198,203,254,204,251,207,208,182,159,205,266,194,202,201,227,193,188,186,181,184,244,161,209,245,183])).
% 98.67/98.77  cnf(6230,plain,
% 98.67/98.77     (P10(x62301,x62302,x62302,x62301)),
% 98.67/98.77     inference(rename_variables,[],[4926])).
% 98.67/98.77  cnf(6233,plain,
% 98.67/98.77     (P2(f8(x62331,x62331,x62332),x62331,x62331,x62332)),
% 98.67/98.77     inference(rename_variables,[],[5717])).
% 98.67/98.77  cnf(6235,plain,
% 98.67/98.77     (P9(a15,a2,a15,a15)),
% 98.67/98.77     inference(scs_inference,[],[1353,5876,5902,5904,5872,4817,5034,5230,5850,5264,5477,5680,5769,5771,5858,5860,5870,5888,5894,5898,5948,5968,6045,5939,6065,6080,5717,5946,6071,6074,6083,5937,6068,6077,6086,6089,5819,5292,5963,5970,5707,5658,5672,6162,6167,6171,6191,5682,6170,5179,5106,5565,6159,6174,6184,6197,6207,5748,5737,5379,5258,6063,6154,5104,4888,4926,5455,5345,5151,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170,171,169,160,262,263,229,158,172,256,259,257,258,242,165,253,177,192,198,203,254,204,251,207,208,182,159,205,266,194,202,201,227,193,188,186,181,184,244,161,209,245,183,231,185])).
% 98.67/98.77  cnf(6237,plain,
% 98.67/98.77     (P9(x62371,f7(x62371,x62371,x62371,x62371),f7(x62371,x62371,x62371,x62371),f7(x62371,x62371,x62371,x62371))),
% 98.67/98.77     inference(scs_inference,[],[1353,5876,5902,5904,5872,4817,5034,5230,5850,5264,5477,5680,5769,5771,5858,5860,5870,5888,5894,5898,5948,5968,6045,5918,5939,6065,6080,5717,5946,6071,6074,6083,5937,6068,6077,6086,6089,5819,5292,5963,5970,5707,5658,5672,6162,6167,6171,6191,5638,5682,6170,5179,5106,5565,6159,6174,6184,6197,6207,5748,5737,5379,5258,6063,6154,5104,4888,4926,5455,5345,5151,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170,171,169,160,262,263,229,158,172,256,259,257,258,242,165,253,177,192,198,203,254,204,251,207,208,182,159,205,266,194,202,201,227,193,188,186,181,184,244,161,209,245,183,231,185,199])).
% 98.67/98.77  cnf(6239,plain,
% 98.67/98.77     (P5(x62391,x62392,x62393,x62392)),
% 98.67/98.77     inference(rename_variables,[],[5638])).
% 98.67/98.77  cnf(6243,plain,
% 98.67/98.77     (P3(f27(x62431,x62431,x62431,x62431,x62431,x62431),x62431,x62431)),
% 98.67/98.77     inference(rename_variables,[],[5944])).
% 98.67/98.77  cnf(6245,plain,
% 98.67/98.77     (P3(a1,f13(a2,a2,a15,a15,a1,a1),a1)),
% 98.67/98.77     inference(scs_inference,[],[1353,5876,5902,5904,5872,4817,5034,5230,5850,5264,5477,5680,5769,5771,5858,5860,5870,5888,5894,5898,5948,5968,6045,5918,5939,6065,6080,5944,5717,6233,5946,6071,6074,6083,5937,6068,6077,6086,6089,5819,5292,5963,5970,5707,5658,5164,5672,6162,6167,6171,6191,5638,5682,6170,5179,5106,5565,6159,6174,6184,6197,6207,5748,5737,5379,5258,6063,6154,5104,4888,4926,5455,5345,5151,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170,171,169,160,262,263,229,158,172,256,259,257,258,242,165,253,177,192,198,203,254,204,251,207,208,182,159,205,266,194,202,201,227,193,188,186,181,184,244,161,209,245,183,231,185,199,190,243])).
% 98.67/98.77  cnf(6249,plain,
% 98.67/98.77     (P10(x62491,x62492,x62492,x62491)),
% 98.67/98.77     inference(rename_variables,[],[4926])).
% 98.67/98.77  cnf(6255,plain,
% 98.67/98.77     (P1(x62551,x62551,x62552)),
% 98.67/98.77     inference(rename_variables,[],[5258])).
% 98.67/98.77  cnf(6257,plain,
% 98.67/98.77     (P4(a1,a15,a1,a15)),
% 98.67/98.77     inference(scs_inference,[],[1353,5876,5902,5904,5872,4817,5034,5230,5850,5264,5477,5680,5769,5771,5858,5860,5870,5886,5888,5894,5898,5948,5968,6045,5918,5939,6065,6080,5944,5717,6233,5946,6071,6074,6083,5937,6068,6077,6086,6089,5819,5292,5963,5970,5707,5658,5164,5672,6162,6167,6171,6191,5638,6239,5682,6170,5179,5106,5565,6159,6174,6184,6197,6207,5532,5748,5737,5379,5258,6063,6154,6187,5104,4888,4926,6230,4912,5455,5345,5788,5151,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170,171,169,160,262,263,229,158,172,256,259,257,258,242,165,253,177,192,198,203,254,204,251,207,208,182,159,205,266,194,202,201,227,193,188,186,181,184,244,161,209,245,183,231,185,199,190,243,196,213,255])).
% 98.67/98.77  cnf(6263,plain,
% 98.67/98.77     (P10(x62631,x62632,x62632,x62631)),
% 98.67/98.77     inference(rename_variables,[],[4926])).
% 98.67/98.77  cnf(6269,plain,
% 98.67/98.77     (P3(f24(x62691,x62692),x62691,x62692)),
% 98.67/98.77     inference(scs_inference,[],[142,1353,5876,5902,5904,5872,4817,5034,5230,5850,5264,5477,5680,5769,5771,5858,5860,5870,5886,5888,5894,5898,5948,5968,6045,5918,5939,6065,6080,5944,6243,5995,5717,6233,5946,6071,6074,6083,5937,6068,6077,6086,6089,6095,5819,5292,5963,5970,5707,5658,5164,5672,6162,6167,6171,6191,5638,6239,4406,5682,6170,5179,5106,5565,6159,6174,6184,6197,6207,5532,5748,5737,5379,5258,6063,6154,6187,6255,5104,5072,4888,4926,6230,6249,6263,4912,5455,5345,5788,5151,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170,171,169,160,262,263,229,158,172,256,259,257,258,242,165,253,177,192,198,203,254,204,251,207,208,182,159,205,266,194,202,201,227,193,188,186,181,184,244,161,209,245,183,231,185,199,190,243,196,213,255,210,211,163])).
% 98.67/98.77  cnf(6275,plain,
% 98.67/98.77     (P3(f24(a20,a1),a17,a17)),
% 98.67/98.77     inference(scs_inference,[],[142,1353,5876,5902,5904,5872,4817,5034,5230,5850,5264,5477,5680,5769,5771,5858,5860,5870,5886,5888,5894,5898,5948,5968,6045,5918,5939,6065,6080,5944,6243,5995,5717,6233,5946,6071,6074,6083,5937,6068,6077,6086,6089,6095,5819,5292,5963,5970,5707,5658,5164,5672,6162,6167,6171,6191,5638,6239,4406,5682,6170,5179,5106,5565,6159,6174,6184,6197,6207,5532,5748,5737,5379,5258,6063,6154,6187,6255,5104,5072,4888,4926,6230,6249,6263,4912,5455,5345,5788,5151,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170,171,169,160,262,263,229,158,172,256,259,257,258,242,165,253,177,192,198,203,254,204,251,207,208,182,159,205,266,194,202,201,227,193,188,186,181,184,244,161,209,245,183,231,185,199,190,243,196,213,255,210,211,163,1508])).
% 98.67/98.77  cnf(6279,plain,
% 98.67/98.77     (P9(a2,a2,a16,a2)),
% 98.67/98.77     inference(scs_inference,[],[142,1353,5876,5902,5904,5872,4817,5034,5230,5850,5264,5477,5680,5769,5771,5858,5860,5870,5886,5888,5894,5898,5948,5968,6045,5918,5939,6065,6080,5944,6243,5995,5717,6233,5946,6071,6074,6083,5937,6068,6077,6086,6089,6095,5819,5292,5963,5970,5707,5658,5164,5672,6162,6167,6171,6191,5638,6239,4406,5682,6170,5179,5106,5565,6159,6174,6184,6197,6207,5532,5748,5737,5379,5258,6063,6154,6187,6255,5104,5072,4888,4926,6230,6249,6263,4912,5455,5345,5788,5151,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170,171,169,160,262,263,229,158,172,256,259,257,258,242,165,253,177,192,198,203,254,204,251,207,208,182,159,205,266,194,202,201,227,193,188,186,181,184,244,161,209,245,183,231,185,199,190,243,196,213,255,210,211,163,1508,1125,772])).
% 98.67/98.77  cnf(6283,plain,
% 98.67/98.77     (P9(a20,a20,a16,a2)),
% 98.67/98.77     inference(scs_inference,[],[142,1353,5876,5902,5904,5872,4817,5034,5230,5850,5264,5477,5680,5769,5771,5858,5860,5870,5886,5888,5894,5898,5948,5968,6045,5918,5939,6065,6080,5944,6243,5995,5717,6233,5946,6071,6074,6083,5937,6068,6077,6086,6089,6095,5819,5292,5963,5970,5707,5658,5164,5672,6162,6167,6171,6191,5638,6239,4406,5682,6170,5179,5106,5565,6159,6174,6184,6197,6207,5532,5748,5737,5379,5258,6063,6154,6187,6255,5104,5072,4888,4926,6230,6249,6263,4912,5455,5345,5788,5151,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170,171,169,160,262,263,229,158,172,256,259,257,258,242,165,253,177,192,198,203,254,204,251,207,208,182,159,205,266,194,202,201,227,193,188,186,181,184,244,161,209,245,183,231,185,199,190,243,196,213,255,210,211,163,1508,1125,772,1232,1273])).
% 98.67/98.77  cnf(6285,plain,
% 98.67/98.77     (P9(a22,a22,a16,a2)),
% 98.67/98.77     inference(scs_inference,[],[142,1353,5876,5902,5904,5872,4817,5034,5230,5850,5264,5477,5680,5769,5771,5858,5860,5870,5886,5888,5894,5898,5948,5968,6045,5918,5939,6065,6080,5944,6243,5995,5717,6233,5946,6071,6074,6083,5937,6068,6077,6086,6089,6095,5819,5292,5963,5970,5707,5658,5164,5672,6162,6167,6171,6191,5638,6239,4406,5682,6170,5179,5106,5565,6159,6174,6184,6197,6207,5532,5748,5737,5379,5258,6063,6154,6187,6255,5104,5072,4888,4926,6230,6249,6263,4912,5455,5345,5788,5151,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170,171,169,160,262,263,229,158,172,256,259,257,258,242,165,253,177,192,198,203,254,204,251,207,208,182,159,205,266,194,202,201,227,193,188,186,181,184,244,161,209,245,183,231,185,199,190,243,196,213,255,210,211,163,1508,1125,772,1232,1273,1177])).
% 98.67/98.77  cnf(6287,plain,
% 98.67/98.77     (P9(a15,a15,a16,a2)),
% 98.67/98.77     inference(scs_inference,[],[142,1353,5876,5902,5904,5872,4817,5034,5230,5850,5264,5477,5680,5769,5771,5858,5860,5870,5886,5888,5894,5898,5948,5968,6045,5918,5939,6065,6080,5944,6243,5995,5717,6233,5946,6071,6074,6083,5937,6068,6077,6086,6089,6095,5819,5292,5963,5970,5707,5658,5164,5672,6162,6167,6171,6191,5638,6239,4406,5682,6170,5179,5106,5565,6159,6174,6184,6197,6207,5532,5748,5737,5379,5258,6063,6154,6187,6255,5104,5072,4888,4926,6230,6249,6263,4912,5455,5345,5788,5151,6054,901,1600,593,707,1506,655,854,1622,1589,635,1611,164,173,174,168,155,191,261,228,230,157,175,156,260,167,170,171,169,160,262,263,229,158,172,256,259,257,258,242,165,253,177,192,198,203,254,204,251,207,208,182,159,205,266,194,202,201,227,193,188,186,181,184,244,161,209,245,183,231,185,199,190,243,196,213,255,210,211,163,1508,1125,772,1232,1273,1177,1145])).
% 98.67/98.77  cnf(6303,plain,
% 98.67/98.77     (P10(a2,a2,a21,a17)),
% 98.67/98.77     inference(scs_inference,[],[6279,711])).
% 98.67/98.77  cnf(6306,plain,
% 98.67/98.77     (P1(f4(x63061,x63061,x63062),x63062,x63061)),
% 98.67/98.77     inference(rename_variables,[],[5966])).
% 98.67/98.77  cnf(6309,plain,
% 98.67/98.77     (P9(x63091,f4(x63091,x63091,x63092),x63092,x63091)),
% 98.67/98.77     inference(rename_variables,[],[5956])).
% 98.67/98.77  cnf(6312,plain,
% 98.67/98.77     (P9(x63121,f4(x63121,x63121,x63122),x63122,x63121)),
% 98.67/98.77     inference(rename_variables,[],[5956])).
% 98.67/98.77  cnf(6315,plain,
% 98.67/98.77     (P1(f4(x63151,x63151,x63152),x63152,x63151)),
% 98.67/98.77     inference(rename_variables,[],[5966])).
% 98.67/98.77  cnf(6318,plain,
% 98.67/98.77     (P1(f4(x63181,x63181,x63182),x63182,x63181)),
% 98.67/98.77     inference(rename_variables,[],[5966])).
% 98.67/98.77  cnf(6323,plain,
% 98.67/98.77     (P1(f4(x63231,x63231,x63232),x63232,x63231)),
% 98.67/98.77     inference(rename_variables,[],[5966])).
% 98.67/98.77  cnf(6326,plain,
% 98.67/98.77     (P9(x63261,f4(x63261,x63261,x63262),x63262,x63261)),
% 98.67/98.77     inference(rename_variables,[],[5956])).
% 98.67/98.77  cnf(6331,plain,
% 98.67/98.77     (P1(a16,a18,a17)),
% 98.67/98.77     inference(scs_inference,[],[6123,6129,5956,6309,6312,5966,6306,6315,6318,6323,1600,707,593,1506,1622,854,1589,635,1611,164])).
% 98.67/98.77  cnf(6333,plain,
% 98.67/98.77     (P5(x63331,x63331,x63332,x63333)),
% 98.67/98.77     inference(scs_inference,[],[6099,6123,6129,5956,6309,6312,5966,6306,6315,6318,6323,1600,707,593,1506,1622,854,1589,635,1611,164,174])).
% 98.67/98.77  cnf(6339,plain,
% 98.67/98.77     (P1(a17,a16,a18)),
% 98.67/98.77     inference(scs_inference,[],[6099,6033,6097,6123,6129,6209,5956,6309,6312,5966,6306,6315,6318,6323,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155])).
% 98.67/98.77  cnf(6345,plain,
% 98.67/98.77     (P1(f24(x63451,x63452),x63451,x63452)),
% 98.67/98.77     inference(scs_inference,[],[6099,5427,6033,6097,6123,6129,6131,6209,5956,6309,6312,5966,6306,6315,6318,6323,6269,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157])).
% 98.67/98.77  cnf(6347,plain,
% 98.67/98.77     (P1(a17,a18,a15)),
% 98.67/98.77     inference(scs_inference,[],[6099,5427,6033,6097,6105,6123,6129,6131,6209,5956,6309,6312,5966,6306,6315,6318,6323,6269,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156])).
% 98.67/98.77  cnf(6351,plain,
% 98.67/98.77     (P9(a17,a22,a16,a15)),
% 98.67/98.77     inference(scs_inference,[],[6099,5427,6033,6125,5890,6097,6105,6123,6129,6131,6209,5956,6309,6312,5966,6306,6315,6318,6323,6269,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169])).
% 98.67/98.77  cnf(6353,plain,
% 98.67/98.77     (P9(a2,a2,a2,a16)),
% 98.67/98.77     inference(scs_inference,[],[6099,5427,6033,6125,6279,5890,6097,6105,6123,6129,6131,6209,5956,6309,6312,5966,6306,6315,6318,6323,6269,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169,170])).
% 98.67/98.77  cnf(6357,plain,
% 98.67/98.77     (P4(a17,a16,a17,a16)),
% 98.67/98.77     inference(scs_inference,[],[6099,5427,5862,6033,6125,6279,5890,5999,6097,6105,6123,6129,6131,6209,5956,6309,6312,5966,6306,6315,6318,6323,6269,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169,170,167,160])).
% 98.67/98.77  cnf(6359,plain,
% 98.67/98.77     (P7(a20,a20,a20,a20,a20,a16,a20,a16)),
% 98.67/98.77     inference(scs_inference,[],[6099,5427,5862,6033,6125,6279,5890,5999,6097,6105,6123,6129,6131,6209,5956,6309,6312,5966,6306,6315,6318,6323,6269,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169,170,167,160,263])).
% 98.67/98.77  cnf(6363,plain,
% 98.67/98.77     (P7(a20,a15,a20,a15,a15,a20,a20,a15)),
% 98.67/98.77     inference(scs_inference,[],[6099,5427,5233,5862,6033,6125,6279,5812,5890,5999,6097,6105,6123,6129,6131,6209,5956,6309,6312,5966,6306,6315,6318,6323,6269,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169,170,167,160,263,171,262])).
% 98.67/98.77  cnf(6365,plain,
% 98.67/98.77     (P8(a17,a16,x63651,x63652,a18,a16,x63651,x63652)),
% 98.67/98.77     inference(scs_inference,[],[6099,5427,5233,5862,6033,6125,6279,5812,5890,5999,6097,6105,6123,6129,6131,6209,5956,6309,6312,5966,6306,6315,6318,6323,6269,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169,170,167,160,263,171,262,229])).
% 98.67/98.77  cnf(6367,plain,
% 98.67/98.77     (P3(f24(x63671,x63672),x63672,x63671)),
% 98.67/98.77     inference(scs_inference,[],[6099,5427,5233,5862,6033,6125,6279,5812,5890,5999,6097,6105,6123,6129,6131,6209,5956,6309,6312,5966,6306,6315,6318,6323,6269,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169,170,167,160,263,171,262,229,158])).
% 98.67/98.77  cnf(6369,plain,
% 98.67/98.77     (P4(a15,a22,a15,a22)),
% 98.67/98.77     inference(scs_inference,[],[6099,5427,5233,5862,6033,6125,6279,5812,5890,5999,6097,6105,6123,6127,6129,6131,6209,5956,6309,6312,5966,6306,6315,6318,6323,6269,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169,170,167,160,263,171,262,229,158,172])).
% 98.67/98.77  cnf(6371,plain,
% 98.67/98.77     (P8(x63711,x63711,x63712,x63711,x63711,x63713,x63712,x63713)),
% 98.67/98.77     inference(scs_inference,[],[6147,6099,5427,5233,5862,6033,6125,6279,5812,5890,5999,6097,6105,6123,6127,6129,6131,6209,5956,6309,6312,5966,6306,6315,6318,6323,6269,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169,170,167,160,263,171,262,229,158,172,256])).
% 98.67/98.77  cnf(6373,plain,
% 98.67/98.77     (P8(x63731,x63732,x63731,x63731,x63732,x63733,x63731,x63733)),
% 98.67/98.77     inference(scs_inference,[],[6147,6149,6099,5427,5233,5862,6033,6125,6279,5812,5890,5999,6097,6105,6123,6127,6129,6131,6209,5956,6309,6312,5966,6306,6315,6318,6323,6269,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169,170,167,160,263,171,262,229,158,172,256,259])).
% 98.67/98.77  cnf(6377,plain,
% 98.67/98.77     (P8(x63771,x63772,x63773,x63771,x63772,x63772,x63773,x63772)),
% 98.67/98.77     inference(scs_inference,[],[6147,6149,6099,5427,5233,5862,6033,6125,6279,5812,5890,5999,6097,6105,6123,6127,6129,6131,6209,5956,6309,6312,5966,6306,6315,6318,6323,6269,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169,170,167,160,263,171,262,229,158,172,256,259,257,258])).
% 98.67/98.77  cnf(6379,plain,
% 98.67/98.77     (P4(a16,a22,a16,a22)),
% 98.67/98.77     inference(scs_inference,[],[6147,6149,6099,5427,5233,5862,5900,6033,6125,6279,5100,5812,5890,5999,6097,6105,6123,6127,6129,6131,6209,5956,6309,6312,5966,6306,6315,6318,6323,6269,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169,170,167,160,263,171,262,229,158,172,256,259,257,258,187])).
% 98.67/98.77  cnf(6381,plain,
% 98.67/98.77     (P9(a1,a17,a17,a17)),
% 98.67/98.77     inference(scs_inference,[],[6143,6147,6149,6099,5427,5233,5862,5900,6033,6125,6279,5100,5812,5890,5999,6097,6105,6123,6127,6129,6131,6209,5956,6309,6312,5966,6306,6315,6318,6323,6269,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169,170,167,160,263,171,262,229,158,172,256,259,257,258,187,246])).
% 98.67/98.77  cnf(6382,plain,
% 98.67/98.77     (P8(x63821,x63821,x63821,x63822,x63823,x63821,x63823,x63822)),
% 98.67/98.77     inference(rename_variables,[],[6143])).
% 98.67/98.77  cnf(6385,plain,
% 98.67/98.77     (P9(x63851,x63852,x63852,x63851)),
% 98.67/98.77     inference(rename_variables,[],[5565])).
% 98.67/98.77  cnf(6390,plain,
% 98.67/98.77     (P9(x63901,x63902,x63902,x63901)),
% 98.67/98.77     inference(rename_variables,[],[5565])).
% 98.67/98.77  cnf(6393,plain,
% 98.67/98.77     (P8(x63931,x63932,x63933,x63934,x63932,x63931,x63933,x63934)),
% 98.67/98.77     inference(rename_variables,[],[5092])).
% 98.67/98.77  cnf(6395,plain,
% 98.67/98.77     (P4(x63951,f7(x63951,x63951,x63951,x63951),x63951,f7(x63951,x63951,x63951,x63951))),
% 98.67/98.77     inference(scs_inference,[],[6143,6147,6149,6099,5427,5233,5862,5900,6033,6125,6279,5100,5812,5890,5999,6097,6105,6123,6127,6129,6131,6209,6257,5956,6309,6312,5966,6306,6315,6318,6323,6237,6269,6229,5546,5565,6385,5092,5788,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169,170,167,160,263,171,262,229,158,172,256,259,257,258,187,246,233,242,180,253,177])).
% 98.67/98.77  cnf(6404,plain,
% 98.67/98.77     (P4(x64041,x64041,x64041,x64041)),
% 98.67/98.77     inference(rename_variables,[],[5379])).
% 98.67/98.77  cnf(6407,plain,
% 98.67/98.77     (P9(x64071,x64072,x64072,x64071)),
% 98.67/98.77     inference(rename_variables,[],[5565])).
% 98.67/98.77  cnf(6412,plain,
% 98.67/98.77     (P5(x64121,x64122,x64121,x64123)),
% 98.67/98.77     inference(rename_variables,[],[6099])).
% 98.67/98.77  cnf(6420,plain,
% 98.67/98.77     (P4(a22,a16,a22,a16)),
% 98.67/98.77     inference(scs_inference,[],[6143,6147,6149,6099,5427,5233,5862,5900,6033,6125,6279,5100,5812,5890,5999,6097,6105,6123,6127,6129,6131,6209,6226,6235,6257,5956,6309,6312,5966,6306,6315,6318,6323,6237,6269,6229,5991,4805,5546,5530,5565,6385,6390,5092,6393,5379,4950,5788,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169,170,167,160,263,171,262,229,158,172,256,259,257,258,187,246,233,242,180,253,177,254,203,198,192,197,195,251,204,208,247])).
% 98.67/98.77  cnf(6429,plain,
% 98.67/98.77     (P9(x64291,x64292,x64292,x64291)),
% 98.67/98.77     inference(rename_variables,[],[5565])).
% 98.67/98.77  cnf(6432,plain,
% 98.67/98.77     (P9(x64321,x64322,x64322,x64321)),
% 98.67/98.77     inference(rename_variables,[],[5565])).
% 98.67/98.77  cnf(6438,plain,
% 98.67/98.77     (P9(x64381,x64382,x64381,x64382)),
% 98.67/98.77     inference(rename_variables,[],[5672])).
% 98.67/98.77  cnf(6440,plain,
% 98.67/98.77     (P2(a1,a20,a17,a17)),
% 98.67/98.77     inference(scs_inference,[],[1367,6143,6382,6147,6149,6099,5610,5427,5233,5862,5900,6033,6125,6279,5100,5812,5890,5999,6097,6105,6123,6127,6129,6131,6209,6226,6235,6257,5956,6309,6312,5966,6306,6315,6318,6323,6237,6269,6186,6229,5991,4805,5717,5546,5530,5672,5565,6385,6390,6407,6429,5092,6393,5379,4950,5788,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169,170,167,160,263,171,262,229,158,172,256,259,257,258,187,246,233,242,180,253,177,254,203,198,192,197,195,251,204,208,247,176,207,182,194,266,205,188])).
% 98.67/98.77  cnf(6445,plain,
% 98.67/98.77     (P9(x64451,x64452,x64452,x64451)),
% 98.67/98.77     inference(rename_variables,[],[5565])).
% 98.67/98.77  cnf(6451,plain,
% 98.67/98.77     (~P9(a18,a19,a16,f12(a16,a15,a15,a2,a15))),
% 98.67/98.77     inference(scs_inference,[],[1367,6143,6382,6147,6149,6099,5610,5427,5233,5862,5900,6033,6125,6279,5100,5812,5890,5999,6097,6105,6123,6127,6129,6131,6209,6226,6235,6257,5956,6309,6312,5966,6306,6315,6318,6323,6237,6269,6186,5781,6229,5991,4805,5717,5546,5530,5672,6438,4556,5565,6385,6390,6407,6429,6432,5092,6393,5379,4950,4472,5788,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169,170,167,160,263,171,262,229,158,172,256,259,257,258,187,246,233,242,180,253,177,254,203,198,192,197,195,251,204,208,247,176,207,182,194,266,205,188,202,193,201,227,184])).
% 98.67/98.77  cnf(6452,plain,
% 98.67/98.77     (P9(x64521,x64522,x64521,x64522)),
% 98.67/98.77     inference(rename_variables,[],[5672])).
% 98.67/98.77  cnf(6457,plain,
% 98.67/98.77     (~P10(a19,a18,a2,f4(a2,a2,a15))),
% 98.67/98.77     inference(scs_inference,[],[1367,6143,6382,6147,6149,6099,5610,5427,5233,5862,5900,6033,6125,6279,5100,5812,5890,5999,6097,6105,6123,6127,6129,6131,6209,6226,6235,6257,5956,6309,6312,6326,5966,6306,6315,6318,6323,6237,6269,6186,5781,6229,5757,5991,4805,5717,5546,5530,5672,6438,4556,5565,6385,6390,6407,6429,6432,6445,5092,6393,5379,4950,4472,5788,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169,170,167,160,263,171,262,229,158,172,256,259,257,258,187,246,233,242,180,253,177,254,203,198,192,197,195,251,204,208,247,176,207,182,194,266,205,188,202,193,201,227,184,181,186])).
% 98.67/98.77  cnf(6460,plain,
% 98.67/98.77     (P10(a16,x64601,a2,x64601)),
% 98.67/98.77     inference(scs_inference,[],[1367,6143,6382,6147,6149,6099,5610,5427,5233,5862,5900,6033,6125,6279,5100,5812,5890,5999,6097,6105,6123,6127,6129,6131,6209,6226,6235,6257,5956,6309,6312,6326,5966,6306,6315,6318,6323,6237,6269,6186,5781,6229,5757,5991,4805,5717,5546,5530,5672,6438,4556,5764,5565,6385,6390,6407,6429,6432,6445,5092,6393,5379,4950,4472,5788,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169,170,167,160,263,171,262,229,158,172,256,259,257,258,187,246,233,242,180,253,177,254,203,198,192,197,195,251,204,208,247,176,207,182,194,266,205,188,202,193,201,227,184,181,186,244])).
% 98.67/98.77  cnf(6461,plain,
% 98.67/98.77     (P8(x64611,x64612,x64613,x64612,x64611,x64611,x64613,x64611)),
% 98.67/98.77     inference(rename_variables,[],[6147])).
% 98.67/98.77  cnf(6463,plain,
% 98.67/98.77     (P9(a2,x64631,a16,x64631)),
% 98.67/98.77     inference(scs_inference,[],[1367,6143,6382,6147,6461,6149,6099,5610,5427,5233,5862,5900,6033,6125,6279,5100,5812,5890,5999,6097,6105,6123,6127,6129,6131,6209,6226,6235,6257,5956,6309,6312,6326,5966,6306,6315,6318,6323,6237,6269,6186,5781,6229,5757,5991,4805,5717,5546,5530,5672,6438,4556,5764,5565,6385,6390,6407,6429,6432,6445,5092,6393,5379,4950,4472,5788,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169,170,167,160,263,171,262,229,158,172,256,259,257,258,187,246,233,242,180,253,177,254,203,198,192,197,195,251,204,208,247,176,207,182,194,266,205,188,202,193,201,227,184,181,186,244,245])).
% 98.67/98.77  cnf(6467,plain,
% 98.67/98.77     (P3(f24(x64671,x64672),x64671,x64672)),
% 98.67/98.77     inference(rename_variables,[],[6269])).
% 98.67/98.77  cnf(6469,plain,
% 98.67/98.77     (P10(f27(a2,a2,a2,a2,a17,a17),a17,a2,a2)),
% 98.67/98.77     inference(scs_inference,[],[1367,6143,6382,6147,6461,6149,6099,5610,5427,5233,5862,5900,6033,6125,6279,5100,5812,5890,5999,6097,6105,6123,6127,6129,6131,6209,6226,6235,6257,5956,6309,6312,6326,5966,6306,6315,6318,6323,6237,6269,6186,5781,6229,5757,5991,4805,5717,5546,5530,5672,6438,4556,5764,5565,6385,6390,6407,6429,6432,6445,5373,5092,6393,5379,4950,4472,5788,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169,170,167,160,263,171,262,229,158,172,256,259,257,258,187,246,233,242,180,253,177,254,203,198,192,197,195,251,204,208,247,176,207,182,194,266,205,188,202,193,201,227,184,181,186,244,245,161,209])).
% 98.67/98.77  cnf(6474,plain,
% 98.67/98.77     (P3(f24(x64741,x64742),x64741,x64742)),
% 98.67/98.77     inference(rename_variables,[],[6269])).
% 98.67/98.77  cnf(6476,plain,
% 98.67/98.77     (P9(a1,a1,a15,a15)),
% 98.67/98.77     inference(scs_inference,[],[1367,6143,6382,6147,6461,6149,6099,5610,5427,5233,5856,5862,5900,6033,6125,6279,5100,5812,5890,5999,6097,6105,6123,6127,6129,6131,6209,6226,6235,6257,5956,6309,6312,6326,5966,6306,6315,6318,6323,6237,6269,6467,6186,5555,5781,6229,5757,5991,4805,5717,5546,5530,5672,6438,4556,5764,5565,6385,6390,6407,6429,6432,6445,5373,5092,6393,5379,4950,4472,5788,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169,170,167,160,263,171,262,229,158,172,256,259,257,258,187,246,233,242,180,253,177,254,203,198,192,197,195,251,204,208,247,176,207,182,194,266,205,188,202,193,201,227,184,181,186,244,245,161,209,183,231,185])).
% 98.67/98.77  cnf(6478,plain,
% 98.67/98.77     (P9(a1,a1,a1,a15)),
% 98.67/98.77     inference(scs_inference,[],[1367,6143,6382,6147,6461,6149,6099,6412,5610,5427,5233,5856,5862,5900,6033,6125,6279,5100,5812,5890,5999,6097,6105,6123,6127,6129,6131,6209,6226,6235,6257,5956,6309,6312,6326,5966,6306,6315,6318,6323,6237,6269,6467,6186,5555,5781,6229,5757,5991,4805,5717,5546,5530,5672,6438,4556,5764,5565,6385,6390,6407,6429,6432,6445,5373,5092,6393,5379,6404,4950,4472,5788,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169,170,167,160,263,171,262,229,158,172,256,259,257,258,187,246,233,242,180,253,177,254,203,198,192,197,195,251,204,208,247,176,207,182,194,266,205,188,202,193,201,227,184,181,186,244,245,161,209,183,231,185,199])).
% 98.67/98.77  cnf(6479,plain,
% 98.67/98.77     (P5(x64791,x64792,x64791,x64793)),
% 98.67/98.77     inference(rename_variables,[],[6099])).
% 98.67/98.77  cnf(6482,plain,
% 98.67/98.77     (P3(f6(a2,a15,a15),a2,a15)),
% 98.67/98.77     inference(scs_inference,[],[1367,6143,6382,6147,6461,6149,6099,6412,5610,5427,5233,5856,5862,5900,6033,6125,6279,5100,5812,5890,5999,6097,6105,6123,6127,6129,6131,6209,6226,6235,6257,5956,6309,6312,6326,5966,6306,6315,6318,6323,6237,6269,6467,6186,5555,5781,6229,5757,5991,4805,5717,5676,5546,5530,5672,6438,6452,4556,5764,5565,6385,6390,6407,6429,6432,6445,5373,5092,6393,5379,6404,4950,4472,5788,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169,170,167,160,263,171,262,229,158,172,256,259,257,258,187,246,233,242,180,253,177,254,203,198,192,197,195,251,204,208,247,176,207,182,194,266,205,188,202,193,201,227,184,181,186,244,245,161,209,183,231,185,199,190])).
% 98.67/98.77  cnf(6486,plain,
% 98.67/98.77     (P3(a16,a2,a16)),
% 98.67/98.77     inference(scs_inference,[],[1367,6143,6382,6147,6461,6149,6099,6412,5610,5427,5233,5856,5862,5900,6033,6125,6279,5100,5812,5890,5999,6097,6105,6123,6127,6129,6131,6209,6226,6235,6257,5956,6309,6312,6326,5966,6306,6315,6318,6323,6237,6269,6467,6186,5555,5781,6229,5757,5991,5902,4805,5717,5676,5546,5530,5672,6438,6452,4556,5764,5565,6385,6390,6407,6429,6432,6445,5373,5092,6393,5379,6404,4950,5072,4472,5788,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169,170,167,160,263,171,262,229,158,172,256,259,257,258,187,246,233,242,180,253,177,254,203,198,192,197,195,251,204,208,247,176,207,182,194,266,205,188,202,193,201,227,184,181,186,244,245,161,209,183,231,185,199,190,243])).
% 98.67/98.77  cnf(6497,plain,
% 98.67/98.77     (P4(a16,a2,a16,a16)),
% 98.67/98.77     inference(scs_inference,[],[1367,6143,6382,6147,6461,6149,6099,6412,6479,5610,5427,5233,5856,5862,5900,6033,6125,6279,5686,5100,5812,5890,5999,6097,6105,6123,6127,6129,6131,6209,6226,6235,6257,5956,6309,6312,6326,5966,6306,6315,6318,6323,6237,6269,6467,6474,6186,5555,5781,6229,5757,5991,5902,4805,5717,5676,5546,5530,5672,6438,6452,5638,4556,5764,5565,6385,6390,6407,6429,6432,6445,5373,5092,6393,5258,5379,6404,4950,5072,4472,5788,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169,170,167,160,263,171,262,229,158,172,256,259,257,258,187,246,233,242,180,253,177,254,203,198,192,197,195,251,204,208,247,176,207,182,194,266,205,188,202,193,201,227,184,181,186,244,245,161,209,183,231,185,199,190,243,196,213,255])).
% 98.67/98.77  cnf(6503,plain,
% 98.67/98.77     (P10(x65031,x65032,x65032,x65031)),
% 98.67/98.77     inference(rename_variables,[],[4926])).
% 98.67/98.77  cnf(6508,plain,
% 98.67/98.77     (P10(a16,a2,a15,a15)),
% 98.67/98.77     inference(scs_inference,[],[1367,6143,6382,6147,6461,6149,6099,6412,6479,5610,5427,5233,5856,5862,5900,6033,6125,6279,5686,5100,5812,5890,5999,6097,6105,6119,6123,6127,6129,6131,6209,6226,6235,6257,5956,6309,6312,6326,5966,6306,6315,6318,6323,6237,6269,6467,6474,6186,5555,5781,6229,5757,5991,5902,4805,5717,5676,5546,5530,5672,6438,6452,5638,4556,5764,5565,6385,6390,6407,6429,6432,6445,5373,5858,5092,6393,5258,5379,6404,4950,5072,4926,6503,4472,5788,1600,707,593,1506,1622,854,1589,635,1611,164,174,168,191,155,261,230,157,156,260,169,170,167,160,263,171,262,229,158,172,256,259,257,258,187,246,233,242,180,253,177,254,203,198,192,197,195,251,204,208,247,176,207,182,194,266,205,188,202,193,201,227,184,181,186,244,245,161,209,183,231,185,199,190,243,196,213,255,210,211,471])).
% 98.67/98.77  cnf(6522,plain,
% 98.67/98.77     (P1(f24(x65221,x65222),x65221,x65222)),
% 98.67/98.77     inference(rename_variables,[],[6345])).
% 98.67/98.77  cnf(6525,plain,
% 98.67/98.77     (P1(f24(x65251,x65252),x65251,x65252)),
% 98.67/98.77     inference(rename_variables,[],[6345])).
% 98.67/98.77  cnf(6535,plain,
% 98.67/98.77     (P10(a2,a17,a16,a18)),
% 98.67/98.77     inference(scs_inference,[],[6463,6345,6522,6525,5499,6469,5956,471,1600,1622,1506,854,1589,635])).
% 98.67/98.77  cnf(6536,plain,
% 98.67/98.77     (P9(a2,x65361,a16,x65361)),
% 98.67/98.77     inference(rename_variables,[],[6463])).
% 98.67/98.77  cnf(6540,plain,
% 98.67/98.77     (P10(a2,a2,a17,a21)),
% 98.67/98.77     inference(scs_inference,[],[6303,6463,6440,6345,6522,6525,5499,6469,5956,471,1600,1622,1506,854,1589,635,191,168])).
% 98.67/98.77  cnf(6542,plain,
% 98.67/98.77     (P1(a18,a16,a17)),
% 98.67/98.77     inference(scs_inference,[],[6303,6331,6463,6440,6345,6522,6525,5499,6469,5956,471,1600,1622,1506,854,1589,635,191,168,155])).
% 98.67/98.77  cnf(6544,plain,
% 98.67/98.77     (P1(f24(x65441,x65442),x65442,x65441)),
% 98.67/98.77     inference(scs_inference,[],[6303,6331,6463,6440,6345,6522,6525,6367,5499,6469,5956,471,1600,1622,1506,854,1589,635,191,168,155,157])).
% 98.67/98.77  cnf(6552,plain,
% 98.67/98.77     (P7(a16,a22,a22,a16,a22,a16,a22,a16)),
% 98.67/98.77     inference(scs_inference,[],[6303,5433,6369,6331,6463,5892,6339,6440,6345,6522,6525,6367,5499,6469,5956,471,1600,1622,1506,854,1589,635,191,168,155,157,261,230,156,260])).
% 98.67/98.77  cnf(6554,plain,
% 98.67/98.77     (P9(a20,a20,a2,a16)),
% 98.67/98.77     inference(scs_inference,[],[6303,5433,6283,6369,6331,6463,5892,6339,6440,6345,6522,6525,6367,5499,6469,5956,471,1600,1622,1506,854,1589,635,191,168,155,157,261,230,156,260,170])).
% 98.67/98.77  cnf(6558,plain,
% 98.67/98.77     (P4(f24(x65581,x65582),x65582,f24(x65581,x65582),x65581)),
% 98.67/98.77     inference(scs_inference,[],[6303,5433,6283,6369,6331,6463,5892,6339,6440,6345,6522,6525,6367,5499,6469,5956,471,1600,1622,1506,854,1589,635,191,168,155,157,261,230,156,260,170,169,160])).
% 98.67/98.77  cnf(6560,plain,
% 98.67/98.77     (P10(a21,a17,a2,a2)),
% 98.67/98.77     inference(scs_inference,[],[6303,5433,6283,6369,6331,6463,5892,6339,6440,6345,6522,6525,6367,5499,6469,5956,471,1600,1622,1506,854,1589,635,191,168,155,157,261,230,156,260,170,169,160,167])).
% 98.67/98.77  cnf(6562,plain,
% 98.67/98.77     (P7(a22,a22,a22,a22,a22,a16,a22,a16)),
% 98.67/98.77     inference(scs_inference,[],[6303,5433,6283,6369,6331,6463,5892,6339,6440,6345,6522,6525,6367,5499,6469,5956,471,1600,1622,1506,854,1589,635,191,168,155,157,261,230,156,260,170,169,160,167,263])).
% 98.67/98.77  cnf(6566,plain,
% 98.67/98.77     (P8(a2,a2,x65661,x65662,a21,a17,x65661,x65662)),
% 98.67/98.77     inference(scs_inference,[],[6303,5433,6283,6369,6331,6463,5892,6018,6339,6440,6345,6522,6525,6367,5499,6469,5956,471,1600,1622,1506,854,1589,635,191,168,155,157,261,230,156,260,170,169,160,167,263,171,229])).
% 98.67/98.77  cnf(6570,plain,
% 98.67/98.77     (P3(a16,a16,a2)),
% 98.67/98.77     inference(scs_inference,[],[6303,5433,6283,5239,6369,6331,6463,5892,6018,6339,6440,6486,6345,6522,6525,6367,5499,6469,5956,471,1600,1622,1506,854,1589,635,191,168,155,157,261,230,156,260,170,169,160,167,263,171,229,262,158])).
% 98.67/98.77  cnf(6572,plain,
% 98.67/98.77     (P4(a17,a16,a16,a17)),
% 98.67/98.77     inference(scs_inference,[],[6303,5433,6283,5239,6369,6331,6463,5892,6018,6339,6357,6440,6486,6345,6522,6525,6367,5499,6469,5956,471,1600,1622,1506,854,1589,635,191,168,155,157,261,230,156,260,170,169,160,167,263,171,229,262,158,172])).
% 98.67/98.77  cnf(6574,plain,
% 98.67/98.77     (P8(x65741,x65742,x65743,x65742,x65743,x65741,x65743,x65743)),
% 98.67/98.77     inference(scs_inference,[],[6303,6373,5433,6283,5239,6369,6331,6463,5892,6018,6339,6357,6440,6486,6345,6522,6525,6367,5499,6469,5956,471,1600,1622,1506,854,1589,635,191,168,155,157,261,230,156,260,170,169,160,167,263,171,229,262,158,172,256])).
% 98.67/98.77  cnf(6576,plain,
% 98.67/98.77     (P8(x65761,x65762,x65762,x65762,x65763,x65761,x65763,x65762)),
% 98.67/98.77     inference(scs_inference,[],[6303,6373,6377,5433,6283,5239,6369,6331,6463,5892,6018,6339,6357,6440,6486,6345,6522,6525,6367,5499,6469,5956,471,1600,1622,1506,854,1589,635,191,168,155,157,261,230,156,260,170,169,160,167,263,171,229,262,158,172,256,259])).
% 98.67/98.77  cnf(6578,plain,
% 98.67/98.77     (P8(x65781,x65781,x65781,x65782,x65781,x65783,x65782,x65783)),
% 98.67/98.77     inference(scs_inference,[],[6303,6373,6377,5433,6283,5239,6369,6331,6463,5892,6018,6339,6357,6440,6486,6345,6522,6525,6367,5499,6469,5956,471,1600,1622,1506,854,1589,635,191,168,155,157,261,230,156,260,170,169,160,167,263,171,229,262,158,172,256,259,257])).
% 98.67/98.77  cnf(6580,plain,
% 98.67/98.77     (P8(x65801,x65802,a16,a16,x65802,x65801,a15,a15)),
% 98.67/98.77     inference(scs_inference,[],[6303,6373,6377,5433,6283,5239,6369,6331,5483,6463,5892,6018,6339,6357,6440,6486,6345,6522,6525,6367,5499,6469,5956,471,1600,1622,1506,854,1589,635,191,168,155,157,261,230,156,260,170,169,160,167,263,171,229,262,158,172,256,259,257,258])).
% 98.67/98.77  cnf(6583,plain,
% 98.67/98.77     (P3(f24(x65831,x65832),x65832,x65831)),
% 98.67/98.77     inference(rename_variables,[],[6367])).
% 98.67/98.77  cnf(6588,plain,
% 98.67/98.77     (P3(f24(x65881,x65882),x65882,x65881)),
% 98.67/98.77     inference(rename_variables,[],[6367])).
% 98.67/98.77  cnf(6593,plain,
% 98.67/98.77     (P9(x65931,x65932,x65932,x65931)),
% 98.67/98.77     inference(rename_variables,[],[5565])).
% 98.67/98.77  cnf(6596,plain,
% 98.67/98.77     (P9(a2,x65961,a16,x65961)),
% 98.67/98.77     inference(rename_variables,[],[6463])).
% 98.67/98.77  cnf(6605,plain,
% 98.67/98.77     (P9(a2,x66051,a16,x66051)),
% 98.67/98.77     inference(rename_variables,[],[6463])).
% 98.67/98.77  cnf(6608,plain,
% 98.67/98.77     (P9(x66081,x66082,x66082,x66081)),
% 98.67/98.77     inference(rename_variables,[],[5565])).
% 98.67/98.77  cnf(6610,plain,
% 98.67/98.77     (P9(a20,a17,a17,a17)),
% 98.67/98.77     inference(scs_inference,[],[6303,6373,6377,5433,6283,5239,6369,6331,5483,6463,6536,6596,5892,6018,6339,6353,6357,6379,6381,6440,6486,6497,6345,6522,6525,6367,6583,5499,6451,6469,5098,5660,5956,6099,5781,5565,6593,5284,471,1600,1622,1506,854,1589,635,191,168,155,157,261,230,156,260,170,169,160,167,263,171,229,262,158,172,256,259,257,258,162,242,178,177,180,203,253,195,192,197,176])).
% 98.67/98.77  cnf(6626,plain,
% 98.67/98.77     (P9(x66261,x66262,x66262,x66261)),
% 98.67/98.77     inference(rename_variables,[],[5565])).
% 98.67/98.77  cnf(6632,plain,
% 98.67/98.77     (P9(x66321,x66322,x66322,x66321)),
% 98.67/98.77     inference(rename_variables,[],[5565])).
% 98.67/98.77  cnf(6636,plain,
% 98.67/98.77     (P2(a15,a22,a22,a22)),
% 98.67/98.77     inference(scs_inference,[],[1385,6303,6371,6373,6377,5612,5433,6283,5239,4691,6369,6331,5483,6463,6536,6596,5892,5984,6018,6339,6353,6357,6379,6381,6440,6478,6486,6497,6345,6522,6525,6367,6583,5499,6451,6469,5098,5660,5956,6062,6099,5781,5565,6593,6608,6626,5284,5104,471,1600,1622,1506,854,1589,635,191,168,155,157,261,230,156,260,170,169,160,167,263,171,229,262,158,172,256,259,257,258,162,242,178,177,180,203,253,195,192,197,176,208,198,247,204,207,251,182,266,194,205,188])).
% 98.67/98.77  cnf(6639,plain,
% 98.67/98.77     (P9(x66391,x66392,x66392,x66391)),
% 98.67/98.77     inference(rename_variables,[],[5565])).
% 98.67/98.77  cnf(6642,plain,
% 98.67/98.77     (P9(a2,x66421,a16,x66421)),
% 98.67/98.77     inference(rename_variables,[],[6463])).
% 98.67/98.77  cnf(6660,plain,
% 98.67/98.77     (P9(a22,a22,a2,a16)),
% 98.67/98.77     inference(scs_inference,[],[1385,6303,6371,6373,6377,5612,5192,5433,6283,5239,6285,4691,6369,6331,5483,6463,6536,6596,6605,6642,5844,5892,5984,6018,6339,6353,6357,6379,6381,6440,6478,6486,6497,6345,6522,6525,6367,6583,5499,6451,6469,6287,5098,6143,5660,5956,6062,5939,6099,5781,5286,5565,6593,6608,6626,6632,6639,5284,5104,471,1600,1622,1506,854,1589,635,191,168,155,157,261,230,156,260,170,169,160,167,263,171,229,262,158,172,256,259,257,258,162,242,178,177,180,203,253,195,192,197,176,208,198,247,204,207,251,182,266,194,205,188,193,202,244,201,227,186,184,181,245])).
% 98.67/98.77  cnf(6666,plain,
% 98.67/98.77     (P3(f24(x66661,x66662),x66662,x66661)),
% 98.67/98.77     inference(rename_variables,[],[6367])).
% 98.67/98.77  cnf(6668,plain,
% 98.67/98.77     (~P10(a18,a19,a2,f4(a2,a2,a15))),
% 98.67/98.77     inference(scs_inference,[],[1385,6303,6371,6373,6377,5612,5192,5433,6283,5239,6285,4691,6369,6331,5483,6463,6536,6596,6605,6642,5844,5892,5984,6018,6339,6353,6357,6379,6381,6440,6478,6486,6497,6345,6522,6525,6367,6583,6588,5499,6451,6457,6469,6287,5098,6143,5660,5956,6062,5939,6099,5781,5286,5565,6593,6608,6626,6632,6639,5284,5104,4926,471,1600,1622,1506,854,1589,635,191,168,155,157,261,230,156,260,170,169,160,167,263,171,229,262,158,172,256,259,257,258,162,242,178,177,180,203,253,195,192,197,176,208,198,247,204,207,251,182,266,194,205,188,193,202,244,201,227,186,184,181,245,209,161,183])).
% 98.67/98.77  cnf(6672,plain,
% 98.67/98.77     (P3(f24(x66721,x66722),x66722,x66721)),
% 98.67/98.77     inference(rename_variables,[],[6367])).
% 98.67/98.77  cnf(6678,plain,
% 98.67/98.77     (P5(x66781,x66781,x66782,x66783)),
% 98.67/98.77     inference(rename_variables,[],[6333])).
% 98.67/98.77  cnf(6687,plain,
% 98.67/98.77     (P1(x66871,x66872,x66872)),
% 98.67/98.77     inference(rename_variables,[],[4936])).
% 98.67/98.77  cnf(6692,plain,
% 98.67/98.77     (P10(a20,a20,a21,a17)),
% 98.67/98.77     inference(scs_inference,[],[1385,6303,6371,6373,6377,6333,6678,5612,5192,5433,6283,5239,6285,4691,6369,6331,5483,6463,6536,6596,6605,6642,5844,5892,5984,6018,6339,6353,6357,6379,6381,6440,6478,6486,6497,6395,6345,6522,6525,6367,6583,6588,6666,6672,5499,6451,6457,6469,6287,5098,6143,5660,6123,5956,6062,5164,5939,6099,5781,5286,5565,6593,6608,6626,6632,6639,4936,6687,5284,5104,4926,471,1600,1622,1506,854,1589,635,191,168,155,157,261,230,156,260,170,169,160,167,263,171,229,262,158,172,256,259,257,258,162,242,178,177,180,203,253,195,192,197,176,208,198,247,204,207,251,182,266,194,205,188,193,202,244,201,227,186,184,181,245,209,161,183,231,185,199,190,196,210,211,707])).
% 98.67/98.77  cnf(6694,plain,
% 98.67/98.77     (P10(a21,a17,a16,a16)),
% 98.67/98.77     inference(scs_inference,[],[1385,6303,6371,6373,6377,6333,6678,5612,5192,5433,6283,5239,6285,4691,6369,6331,5483,6463,6536,6596,6605,6642,5844,5892,5984,6018,6339,6353,6357,6379,6381,6440,6478,6486,6497,6395,6345,6522,6525,6367,6583,6588,6666,6672,5499,6451,6457,6469,6287,5098,6143,5660,6123,5956,6062,5164,5939,6099,5781,5286,5565,6593,6608,6626,6632,6639,4936,6687,5284,5104,4926,471,1600,1622,1506,854,1589,635,191,168,155,157,261,230,156,260,170,169,160,167,263,171,229,262,158,172,256,259,257,258,162,242,178,177,180,203,253,195,192,197,176,208,198,247,204,207,251,182,266,194,205,188,193,202,244,201,227,186,184,181,245,209,161,183,231,185,199,190,196,210,211,707,445])).
% 98.67/98.77  cnf(6702,plain,
% 98.67/98.77     (P10(a22,a22,a21,a17)),
% 98.67/98.77     inference(scs_inference,[],[6560,6660,471,707])).
% 98.67/98.77  cnf(6710,plain,
% 98.67/98.77     (P1(f27(a16,a15,a16,a15,a22,a22),a15,a16)),
% 98.67/98.77     inference(scs_inference,[],[6460,6560,6636,6660,5096,5494,471,707,1506,168,191,157])).
% 98.67/98.77  cnf(6712,plain,
% 98.67/98.77     (P1(a18,a17,a15)),
% 98.67/98.77     inference(scs_inference,[],[6460,6347,6560,6636,6660,5096,5494,471,707,1506,168,191,157,155])).
% 98.67/98.77  cnf(6718,plain,
% 98.67/98.77     (P1(a18,a17,a16)),
% 98.67/98.77     inference(scs_inference,[],[5436,6460,6347,6542,6560,6636,6660,6558,5096,5494,471,707,1506,168,191,157,155,261,230,156])).
% 98.67/98.77  cnf(6720,plain,
% 98.67/98.77     (P7(a16,a20,a20,a16,a20,a16,a20,a16)),
% 98.67/98.77     inference(scs_inference,[],[5436,6460,6133,6347,6542,6560,6636,6660,6558,5096,5494,471,707,1506,168,191,157,155,261,230,156,260])).
% 98.67/98.77  cnf(6722,plain,
% 98.67/98.77     (P4(a16,a16,a16,a2)),
% 98.67/98.77     inference(scs_inference,[],[5436,6460,6133,6347,6542,6560,6570,6636,6660,6558,5096,5494,471,707,1506,168,191,157,155,261,230,156,260,160])).
% 98.67/98.77  cnf(6734,plain,
% 98.67/98.77     (P4(a20,a1,a1,a17)),
% 98.67/98.77     inference(scs_inference,[],[5436,6508,6554,6460,6133,6141,6347,6351,6542,6560,6570,6636,6660,6558,5096,5494,471,707,1506,168,191,157,155,261,230,156,260,160,263,167,170,169,229,171])).
% 98.67/98.77  cnf(6742,plain,
% 98.67/98.77     (P8(x67421,x67422,x67421,x67423,x67422,x67423,x67423,x67423)),
% 98.67/98.77     inference(scs_inference,[],[6576,5436,6508,6554,6460,4874,6133,6141,6347,6351,6542,6560,6570,6636,6660,6558,6245,5096,5494,471,707,1506,168,191,157,155,261,230,156,260,160,263,167,170,169,229,171,262,158,172,256])).
% 98.67/98.77  cnf(6746,plain,
% 98.67/98.77     (P8(x67461,x67462,x67463,x67462,x67461,x67461,x67461,x67463)),
% 98.67/98.77     inference(scs_inference,[],[6574,6576,6578,5436,6508,6554,6460,4874,6133,6141,6347,6351,6542,6560,6570,6636,6660,6558,6245,5096,5494,471,707,1506,168,191,157,155,261,230,156,260,160,263,167,170,169,229,171,262,158,172,256,259,257])).
% 98.67/98.77  cnf(6755,plain,
% 98.67/98.77     (P4(a17,a16,a17,a15)),
% 98.67/98.77     inference(scs_inference,[],[6574,6576,6578,5436,6508,6554,6460,4701,4874,6133,6135,6141,6347,6351,6542,6560,6570,6636,6660,6558,6245,5096,5494,5682,4744,471,707,1506,168,191,157,155,261,230,156,260,160,263,167,170,169,229,171,262,158,172,256,259,257,258,267,249,177])).
% 98.67/98.77  cnf(6758,plain,
% 98.67/98.77     (P8(x67581,x67582,x67583,x67584,x67582,x67581,x67583,x67584)),
% 98.67/98.77     inference(rename_variables,[],[5092])).
% 98.67/98.77  cnf(6772,plain,
% 98.67/98.77     (P4(x67721,x67721,x67721,x67721)),
% 98.67/98.77     inference(rename_variables,[],[5379])).
% 98.67/98.77  cnf(6774,plain,
% 98.67/98.77     (P9(a17,a20,a20,a20)),
% 98.67/98.77     inference(scs_inference,[],[6574,6576,6578,5436,6508,6554,6460,4701,4874,6133,6135,6141,6347,6351,6542,6560,6570,6610,6636,6660,6558,6245,5096,5494,6420,6463,6497,6357,5682,5872,5449,6209,5092,6758,5379,4744,471,707,1506,168,191,157,155,261,230,156,260,160,263,167,170,169,229,171,262,158,172,256,259,257,258,267,249,177,254,180,203,195,253,204,176])).
% 98.67/98.77  cnf(6779,plain,
% 98.67/98.77     (P9(x67791,x67792,x67791,x67792)),
% 98.67/98.77     inference(rename_variables,[],[5672])).
% 98.67/98.77  cnf(6781,plain,
% 98.67/98.77     (P1(f25(a22,a22,a15,a16),a15,a16)),
% 98.67/98.77     inference(scs_inference,[],[6574,6576,6578,5436,6508,6554,6460,4701,4874,6133,6135,6141,6347,6351,6542,6560,6570,6610,6636,6660,6558,6245,5096,5494,6420,6463,5769,6497,6357,5682,5872,5672,5449,6209,5092,6758,5379,4744,6369,471,707,1506,168,191,157,155,261,230,156,260,160,263,167,170,169,229,171,262,158,172,256,259,257,258,267,249,177,254,180,203,195,253,204,176,208,197,198])).
% 98.67/98.77  cnf(6784,plain,
% 98.67/98.77     (P9(x67841,x67842,x67842,x67841)),
% 98.67/98.77     inference(rename_variables,[],[5565])).
% 98.67/98.77  cnf(6789,plain,
% 98.67/98.77     (P8(x67891,x67892,x67893,x67892,x67893,x67891,x67893,x67893)),
% 98.67/98.77     inference(rename_variables,[],[6574])).
% 98.67/98.77  cnf(6791,plain,
% 98.67/98.77     (P4(a16,a22,a22,a16)),
% 98.67/98.77     inference(scs_inference,[],[1400,6574,6576,6578,5436,6508,6554,6460,4701,4874,6133,6135,6141,6347,6351,6542,6552,6560,6570,6610,6636,6660,6558,6245,5096,5494,6420,6463,5769,6497,6357,5682,5872,5672,5449,6209,5092,6758,5565,5379,4744,6369,471,707,1506,168,191,157,155,261,230,156,260,160,263,167,170,169,229,171,262,158,172,256,259,257,258,267,249,177,254,180,203,195,253,204,176,208,197,198,192,207,266,247])).
% 98.67/98.77  cnf(6797,plain,
% 98.67/98.77     (P9(x67971,x67972,x67972,x67971)),
% 98.67/98.77     inference(rename_variables,[],[5565])).
% 98.67/98.77  cnf(6800,plain,
% 98.67/98.77     (P9(x68001,x68002,x68002,x68001)),
% 98.67/98.77     inference(rename_variables,[],[5565])).
% 98.67/98.77  cnf(6805,plain,
% 98.67/98.77     (P9(x68051,x68052,x68052,x68051)),
% 98.67/98.77     inference(rename_variables,[],[5565])).
% 98.67/98.77  cnf(6807,plain,
% 98.67/98.77     (P2(f24(x68071,x68072),x68072,x68071,x68071)),
% 98.67/98.77     inference(scs_inference,[],[1400,6574,6576,6578,5401,5436,6508,6554,6460,4701,4874,6133,6135,6141,6347,6351,6542,6552,6560,6570,6610,6636,6660,6558,6245,5096,5494,6420,6463,5769,6497,6357,5682,5872,5672,5449,6209,4948,5092,6758,5565,6784,6797,6800,5379,4744,6369,471,707,1506,168,191,157,155,261,230,156,260,160,263,167,170,169,229,171,262,158,172,256,259,257,258,267,249,177,254,180,203,195,253,204,176,208,197,198,192,207,266,247,251,182,193,202,194,188])).
% 98.67/98.77  cnf(6811,plain,
% 98.67/98.77     (P10(a17,x68111,a18,x68111)),
% 98.67/98.77     inference(scs_inference,[],[1400,6574,6789,6576,6578,5401,5436,6508,6554,6460,4701,4874,6133,6135,6141,6347,6351,6542,6552,6560,6570,6610,6636,6660,6558,6245,5096,5494,6219,6420,6463,5769,6497,6357,5682,5872,5672,5449,6209,4948,5092,6758,5565,6784,6797,6800,5379,4744,6369,471,707,1506,168,191,157,155,261,230,156,260,160,263,167,170,169,229,171,262,158,172,256,259,257,258,267,249,177,254,180,203,195,253,204,176,208,197,198,192,207,266,247,251,182,193,202,194,188,227,244])).
% 98.67/98.77  cnf(6812,plain,
% 98.67/98.77     (P8(x68121,x68122,x68123,x68122,x68123,x68121,x68123,x68123)),
% 98.67/98.77     inference(rename_variables,[],[6574])).
% 98.67/98.77  cnf(6816,plain,
% 98.67/98.77     (~P9(a18,a19,a2,f4(a2,a2,a15))),
% 98.67/98.77     inference(scs_inference,[],[1400,6574,6789,6576,6578,5401,5436,6508,6554,6460,4701,4874,6133,6135,6141,6347,6351,6542,6552,6560,6570,6610,6636,6660,6558,6245,5096,5494,6668,6219,6420,6463,5769,6497,6357,5682,5872,5672,6779,5449,6209,4948,5092,6758,5565,6784,6797,6800,5379,4744,6369,471,707,1506,168,191,157,155,261,230,156,260,160,263,167,170,169,229,171,262,158,172,256,259,257,258,267,249,177,254,180,203,195,253,204,176,208,197,198,192,207,266,247,251,182,193,202,194,188,227,244,201,184])).
% 98.67/98.77  cnf(6817,plain,
% 98.67/98.77     (P9(x68171,x68172,x68171,x68172)),
% 98.67/98.77     inference(rename_variables,[],[5672])).
% 98.67/98.77  cnf(6819,plain,
% 98.67/98.77     (~P10(a19,a18,a2,f5(a2,a2,a15))),
% 98.67/98.77     inference(scs_inference,[],[1400,6574,6789,6576,6578,5401,5436,6508,6554,6460,4701,4874,6133,6135,6141,6347,6351,6542,6552,6560,6570,6610,6636,6660,6558,6245,5096,5494,6668,6219,6420,6463,5769,5757,5946,6497,6357,5682,5872,5672,6779,5449,6209,4948,5092,6758,5565,6784,6797,6800,5379,4744,6369,471,707,1506,168,191,157,155,261,230,156,260,160,263,167,170,169,229,171,262,158,172,256,259,257,258,267,249,177,254,180,203,195,253,204,176,208,197,198,192,207,266,247,251,182,193,202,194,188,227,244,201,184,186])).
% 98.67/98.77  cnf(6820,plain,
% 98.67/98.77     (P9(x68201,f5(x68201,x68201,x68202),x68202,x68201)),
% 98.67/98.77     inference(rename_variables,[],[5946])).
% 98.67/98.77  cnf(6825,plain,
% 98.67/98.77     (P10(f27(a16,a2,a16,a2,a16,a16),a16,a2,a2)),
% 98.67/98.77     inference(scs_inference,[],[1400,6574,6789,6576,6578,5401,5436,6508,6554,6460,4701,4874,6133,6135,6141,6347,6351,6542,6552,6560,6570,6610,6636,6660,6558,6245,5096,5494,6668,6219,6420,6463,5769,5757,5946,6497,6357,5682,5872,5672,6779,5449,6209,4948,5092,6758,5565,6784,6797,6800,6805,5379,4744,6369,471,707,1506,168,191,157,155,261,230,156,260,160,263,167,170,169,229,171,262,158,172,256,259,257,258,267,249,177,254,180,203,195,253,204,176,208,197,198,192,207,266,247,251,182,193,202,194,188,227,244,201,184,186,181,209])).
% 98.67/98.77  cnf(6827,plain,
% 98.67/98.77     (P9(f5(x68271,x68271,x68271),x68272,x68271,x68272)),
% 98.67/98.77     inference(scs_inference,[],[1400,6574,6789,6812,6576,6578,5401,5436,6508,6554,6460,4701,4874,6133,6135,6141,6347,6351,6542,6552,6560,6570,6610,6636,6660,6558,6245,5096,5494,6668,6219,6420,6463,5769,5757,5946,6820,6497,6357,5682,5872,5672,6779,5449,6209,4948,5092,6758,5565,6784,6797,6800,6805,5379,4744,6369,471,707,1506,168,191,157,155,261,230,156,260,160,263,167,170,169,229,171,262,158,172,256,259,257,258,267,249,177,254,180,203,195,253,204,176,208,197,198,192,207,266,247,251,182,193,202,194,188,227,244,201,184,186,181,209,245])).
% 98.67/98.77  cnf(6828,plain,
% 98.67/98.77     (P8(x68281,x68282,x68283,x68282,x68283,x68281,x68283,x68283)),
% 98.67/98.77     inference(rename_variables,[],[6574])).
% 98.67/98.77  cnf(6838,plain,
% 98.67/98.77     (P4(f24(x68381,x68382),x68382,f24(x68381,x68382),x68381)),
% 98.67/98.77     inference(rename_variables,[],[6558])).
% 98.67/98.77  cnf(6841,plain,
% 98.67/98.77     (P3(f27(x68411,x68411,x68411,x68411,x68411,x68411),x68411,x68411)),
% 98.67/98.77     inference(rename_variables,[],[5944])).
% 98.67/98.77  cnf(6843,plain,
% 98.67/98.77     (P9(f24(x68431,x68431),f24(x68431,x68431),f24(x68431,x68431),x68431)),
% 98.67/98.77     inference(scs_inference,[],[1400,6574,6789,6812,6576,6578,5401,5436,6508,6554,6460,4701,4874,6133,6135,6141,6347,6351,6542,6552,6560,6570,6610,6636,6660,6558,6838,6245,5096,5494,6668,6219,6420,6333,6463,5769,5944,5090,5757,5946,6820,6497,6357,5682,5872,6367,5672,6779,5449,6209,4948,5092,6758,5565,6784,6797,6800,6805,5379,6772,4744,6369,471,707,1506,168,191,157,155,261,230,156,260,160,263,167,170,169,229,171,262,158,172,256,259,257,258,267,249,177,254,180,203,195,253,204,176,208,197,198,192,207,266,247,251,182,193,202,194,188,227,244,201,184,186,181,209,245,183,161,185,231,199])).
% 98.67/98.77  cnf(6845,plain,
% 98.67/98.77     (P5(x68451,x68451,x68452,x68453)),
% 98.67/98.77     inference(rename_variables,[],[6333])).
% 98.67/98.77  cnf(6856,plain,
% 98.67/98.77     (P1(x68561,x68561,x68562)),
% 98.67/98.77     inference(rename_variables,[],[5258])).
% 98.67/98.77  cnf(6860,plain,
% 98.67/98.77     (P4(x68601,x68601,x68602,x68602)),
% 98.67/98.77     inference(scs_inference,[],[1400,6574,6789,6812,6828,6576,6578,5401,5436,6508,6554,6460,4701,4874,6133,6135,6141,6347,6351,6542,6552,6560,6570,6610,6636,6660,6558,6838,6245,5096,5494,6668,6219,6420,6333,6845,6463,5769,6478,5944,6841,5090,5757,5946,6820,6497,6357,5682,5872,6367,5532,5672,6779,6817,5449,6209,4948,5092,6758,5565,6784,6797,6800,6805,5379,6772,5258,4744,6369,471,707,1506,168,191,157,155,261,230,156,260,160,263,167,170,169,229,171,262,158,172,256,259,257,258,267,249,177,254,180,203,195,253,204,176,208,197,198,192,207,266,247,251,182,193,202,194,188,227,244,201,184,186,181,209,245,183,161,185,231,199,190,196,212,255])).
% 98.67/98.77  cnf(6870,plain,
% 98.67/98.77     (P4(a1,a17,a1,a17)),
% 98.67/98.77     inference(scs_inference,[],[1400,6574,6789,6812,6828,6576,6578,5401,5436,6508,6554,6460,4701,4874,6133,6135,6141,6347,6351,6542,6552,6560,6570,6610,6636,6660,6558,6838,6245,5096,5494,6668,6219,6420,6333,6845,6463,5769,6478,5944,6841,5090,5757,5946,6820,6497,6357,5682,5872,6367,5532,5672,6779,6817,5449,6209,4948,5092,6758,5565,6784,6797,6800,6805,5379,6772,5258,4744,6369,471,707,1506,168,191,157,155,261,230,156,260,160,263,167,170,169,229,171,262,158,172,256,259,257,258,267,249,177,254,180,203,195,253,204,176,208,197,198,192,207,266,247,251,182,193,202,194,188,227,244,201,184,186,181,209,245,183,161,185,231,199,190,196,212,255,593,1589,187])).
% 98.67/98.77  cnf(6874,plain,
% 98.67/98.77     (P3(x68741,x68741,f3(x68741,x68741,x68741))),
% 98.67/98.77     inference(scs_inference,[],[1400,6574,6789,6812,6828,6576,6578,5401,5436,6508,6554,6460,4701,4874,6133,6135,6141,6347,6351,6542,6552,6560,6570,6610,6636,6660,6558,6838,6245,5096,5494,6668,6219,6420,6161,6333,6845,6463,5769,6478,5944,6841,5090,5757,5946,6820,6497,6357,5682,5872,6367,5532,5672,6779,6817,5449,6209,4948,5092,6758,5565,6784,6797,6800,6805,5379,6772,5258,6856,4744,6369,471,707,1506,168,191,157,155,261,230,156,260,160,263,167,170,169,229,171,262,158,172,256,259,257,258,267,249,177,254,180,203,195,253,204,176,208,197,198,192,207,266,247,251,182,193,202,194,188,227,244,201,184,186,181,209,245,183,161,185,231,199,190,196,212,255,593,1589,187,250,165])).
% 98.67/98.77  cnf(6884,plain,
% 98.67/98.77     (P9(f5(x68841,x68841,x68841),x68842,x68841,x68842)),
% 98.67/98.77     inference(rename_variables,[],[6827])).
% 98.67/98.77  cnf(6887,plain,
% 98.67/98.77     (P9(f5(x68871,x68871,x68871),x68872,x68871,x68872)),
% 98.67/98.77     inference(rename_variables,[],[6827])).
% 98.67/98.77  cnf(6896,plain,
% 98.67/98.77     (P1(f27(a2,a15,a2,a15,a20,a20),a2,a15)),
% 98.67/98.77     inference(scs_inference,[],[5847,6827,6884,6887,6710,5134,6825,471,707,854,1506,635,168,157])).
% 98.67/98.77  cnf(6916,plain,
% 98.67/98.77     (P8(a15,a16,x69161,x69162,a22,a17,x69161,x69162)),
% 98.67/98.77     inference(scs_inference,[],[5430,5847,6359,6712,6755,6843,6827,6884,6887,6275,5692,6710,5134,6825,471,707,854,1506,635,168,157,155,261,260,230,156,170,263,160,167,229])).
% 98.67/98.77  cnf(6920,plain,
% 98.67/98.77     (P4(a16,a17,a17,a16)),
% 98.67/98.77     inference(scs_inference,[],[5430,5847,6774,6359,6572,6712,6755,6843,6827,6884,6887,6275,5692,6710,5134,6825,471,707,854,1506,635,168,157,155,261,260,230,156,170,263,160,167,229,169,171])).
% 98.67/98.77  cnf(6924,plain,
% 98.67/98.77     (P3(x69241,f3(x69241,x69241,x69241),x69241)),
% 98.67/98.77     inference(scs_inference,[],[5430,5847,5068,6774,6359,6572,6712,6755,6843,6874,6827,6884,6887,6275,5692,6710,5134,6825,471,707,854,1506,635,168,157,155,261,260,230,156,170,263,160,167,229,169,171,262,158])).
% 98.67/98.77  cnf(6928,plain,
% 98.67/98.77     (P8(x69281,x69282,a15,a15,x69282,x69281,a16,a16)),
% 98.67/98.77     inference(scs_inference,[],[5430,5847,5068,6774,6580,6359,6572,6712,6722,6755,6843,6874,6827,6884,6887,6275,5692,6710,5134,6825,471,707,854,1506,635,168,157,155,261,260,230,156,170,263,160,167,229,169,171,262,158,172,256])).
% 98.67/98.77  cnf(6930,plain,
% 98.67/98.77     (P8(x69301,x69302,x69302,x69303,x69301,x69303,x69303,x69303)),
% 98.67/98.77     inference(scs_inference,[],[6742,5430,5847,5068,6774,6580,6359,6572,6712,6722,6755,6843,6874,6827,6884,6887,6275,5692,6710,5134,6825,471,707,854,1506,635,168,157,155,261,260,230,156,170,263,160,167,229,169,171,262,158,172,256,259])).
% 98.67/98.77  cnf(6932,plain,
% 98.67/98.77     (P8(x69321,x69322,x69321,x69323,x69322,x69322,x69323,x69322)),
% 98.67/98.77     inference(scs_inference,[],[6742,5430,5847,5068,6774,6580,6359,6572,6712,6722,6755,6843,6874,6827,6884,6887,6275,5692,6710,5134,6825,471,707,854,1506,635,168,157,155,261,260,230,156,170,263,160,167,229,169,171,262,158,172,256,259,257])).
% 98.67/98.77  cnf(6934,plain,
% 98.67/98.77     (P8(x69341,x69342,x69343,x69341,x69342,x69342,x69342,x69343)),
% 98.67/98.77     inference(scs_inference,[],[6742,6746,5430,5847,5068,6774,6580,6359,6572,6712,6722,6755,6843,6874,6827,6884,6887,6275,5692,6710,5134,6825,471,707,854,1506,635,168,157,155,261,260,230,156,170,263,160,167,229,169,171,262,158,172,256,259,257,258])).
% 98.67/98.77  cnf(6937,plain,
% 98.67/98.77     (P8(a16,a16,x69371,x69372,a16,a2,x69371,x69372)),
% 98.67/98.77     inference(rename_variables,[],[5682])).
% 98.67/98.77  cnf(6943,plain,
% 98.67/98.77     (P4(f3(x69431,x69431,x69431),x69431,f3(x69431,x69431,x69431),f3(x69431,x69431,x69431))),
% 98.67/98.77     inference(scs_inference,[],[6742,6746,5430,5847,5068,6774,6580,6359,6572,6712,6722,6755,6843,6874,6827,6884,6887,6275,5692,6710,5134,6825,5682,5672,5284,5565,471,707,854,1506,635,168,157,155,261,260,230,156,170,263,160,167,229,169,171,262,158,172,256,259,257,258,250,254,177])).
% 98.67/98.77  cnf(6944,plain,
% 98.67/98.77     (P3(x69441,x69441,f3(x69441,x69441,x69441))),
% 98.67/98.77     inference(rename_variables,[],[6874])).
% 98.67/98.77  cnf(6945,plain,
% 98.67/98.77     (P9(x69451,x69452,x69452,x69451)),
% 98.67/98.77     inference(rename_variables,[],[5565])).
% 98.67/98.77  cnf(6948,plain,
% 98.67/98.77     (P3(f24(x69481,x69482),x69481,x69482)),
% 98.67/98.77     inference(rename_variables,[],[6269])).
% 98.67/98.77  cnf(6950,plain,
% 98.67/98.77     (P9(x69501,x69502,x69502,x69501)),
% 98.67/98.77     inference(rename_variables,[],[5565])).
% 98.67/98.77  cnf(6956,plain,
% 98.67/98.77     (P4(x69561,x69561,x69562,x69562)),
% 98.67/98.77     inference(rename_variables,[],[6860])).
% 98.67/98.77  cnf(6962,plain,
% 98.67/98.77     (P4(x69621,x69621,x69622,x69622)),
% 98.67/98.77     inference(rename_variables,[],[6860])).
% 98.67/98.77  cnf(6966,plain,
% 98.67/98.77     (P9(x69661,x69662,x69662,x69662)),
% 98.67/98.77     inference(scs_inference,[],[6742,6746,6860,6956,5430,5847,5068,6774,6580,6359,6572,6712,6722,6755,6870,6843,6874,6827,6884,6887,6807,6275,5692,6710,5134,6825,6544,5778,5948,5640,5795,6269,5682,6937,5672,5284,5565,6945,471,707,854,1506,635,168,157,155,261,260,230,156,170,263,160,167,229,169,171,262,158,172,256,259,257,258,250,254,177,103,180,195,203,253,204,208,176])).
% 98.67/98.77  cnf(6967,plain,
% 98.67/98.77     (P2(f24(x69671,x69672),x69672,x69671,x69671)),
% 98.67/98.77     inference(rename_variables,[],[6807])).
% 98.67/98.77  cnf(6973,plain,
% 98.67/98.77     (P3(f27(a17,a20,a17,a20,a1,a1),a17,a20)),
% 98.67/98.77     inference(scs_inference,[],[6742,6746,6860,6956,5430,5847,5068,6774,6580,6359,6572,6712,6722,6755,6870,6843,6874,6827,6884,6887,6807,6275,5692,6710,5134,6825,6544,5778,5948,6351,5640,5795,6269,5682,6937,5672,5284,5565,6945,471,707,854,1506,635,168,157,155,261,260,230,156,170,263,160,167,229,169,171,262,158,172,256,259,257,258,250,254,177,103,180,195,203,253,204,208,176,198,197,207])).
% 98.67/98.77  cnf(7012,plain,
% 98.67/98.77     (~P10(a18,a19,a2,f5(a2,a2,a15))),
% 98.67/98.77     inference(scs_inference,[],[1351,6742,6746,6860,6956,6962,5430,5847,6535,5068,6774,6580,5290,5882,6359,6572,6712,6722,6755,6870,6843,6874,6944,6827,6884,6887,6807,6275,5692,6710,5134,6825,6819,6566,6544,5016,4422,5870,5778,5948,6351,5640,5485,5795,6269,5682,6937,6062,5672,5284,5104,6226,5565,6945,6950,4926,471,707,854,1506,635,168,157,155,261,260,230,156,170,263,160,167,229,169,171,262,158,172,256,259,257,258,250,254,177,103,180,195,203,253,204,208,176,198,197,207,192,205,247,182,266,193,251,202,227,194,188,184,244,186,201,181,183])).
% 98.67/98.77  cnf(7013,plain,
% 98.67/98.77     (P10(x70131,x70132,x70132,x70131)),
% 98.67/98.77     inference(rename_variables,[],[4926])).
% 98.67/98.77  cnf(7020,plain,
% 98.67/98.77     (P9(x70201,a17,x70201,a20)),
% 98.67/98.77     inference(scs_inference,[],[1351,6742,6746,6860,6956,6962,5430,5847,6535,5068,6774,6580,5290,5882,6359,6572,6712,6722,6755,6870,6843,6874,6944,6827,6884,6887,6807,6967,6275,5692,6710,5134,6825,6819,6566,6544,5016,4422,5870,5778,5948,6351,5640,5485,5795,6269,5682,6937,6062,5672,5284,5104,6226,5565,6945,6950,4926,471,707,854,1506,635,168,157,155,261,260,230,156,170,263,160,167,229,169,171,262,158,172,256,259,257,258,250,254,177,103,180,195,203,253,204,208,176,198,197,207,192,205,247,182,266,193,251,202,227,194,188,184,244,186,201,181,183,161,231,245])).
% 98.67/98.77  cnf(7025,plain,
% 98.67/98.77     (P3(a16,a2,a2)),
% 98.67/98.77     inference(scs_inference,[],[1351,6742,6746,6860,6956,6962,5430,5847,6535,5068,6774,6580,5290,5882,6359,6572,6712,6722,6755,6870,6843,6874,6944,6827,6884,6887,6807,6967,6275,5692,6710,5134,6825,6819,6566,6544,5016,5686,4422,5870,5778,5948,6351,5640,5485,5795,6269,5682,6937,6062,5672,4936,5284,5104,6226,5565,6945,6950,4926,471,707,854,1506,635,168,157,155,261,260,230,156,170,263,160,167,229,169,171,262,158,172,256,259,257,258,250,254,177,103,180,195,203,253,204,208,176,198,197,207,192,205,247,182,266,193,251,202,227,194,188,184,244,186,201,181,183,161,231,245,185,243])).
% 98.67/98.77  cnf(7037,plain,
% 98.67/98.77     (P1(x70371,x70371,x70372)),
% 98.67/98.77     inference(rename_variables,[],[5258])).
% 98.67/98.77  cnf(7042,plain,
% 98.67/98.77     (P4(a2,a20,a15,a20)),
% 98.67/98.77     inference(scs_inference,[],[1351,6742,6746,6860,6956,6962,5430,5847,6535,6694,5068,6774,6580,5290,5882,6359,6572,6712,6722,6755,6870,6843,6874,6944,6827,6884,6887,6807,6967,6275,5692,5155,6710,5134,6825,6819,6566,6544,5016,5606,5686,4422,5870,5778,5948,6351,5640,5485,5795,6269,6948,5682,6937,6303,5373,6062,5532,5672,4936,5284,5104,6226,5565,6945,6950,5258,5072,4926,7013,324,471,707,854,1506,635,168,157,155,261,260,230,156,170,263,160,167,229,169,171,262,158,172,256,259,257,258,250,254,177,103,180,195,203,253,204,208,176,198,197,207,192,205,247,182,266,193,251,202,227,194,188,184,244,186,201,181,183,161,231,245,185,243,196,232,212,211,296])).
% 98.67/98.77  cnf(7045,plain,
% 98.67/98.77     (P10(a17,a20,a16,a16)),
% 98.67/98.77     inference(scs_inference,[],[1351,6742,6746,6860,6956,6962,5430,5847,6535,6694,5068,6774,6580,5290,5882,6359,6572,6712,6722,6755,6870,6843,6874,6944,6827,6884,6887,6807,6967,6275,5692,5155,6710,5134,6825,6819,6566,6544,5016,5606,5686,4422,5870,5778,5948,6351,5640,5485,5795,6269,6948,5682,6937,6303,5373,6062,5532,5672,4936,5284,5104,6226,5565,6945,6950,5258,5072,4926,7013,324,471,707,854,1506,635,168,157,155,261,260,230,156,170,263,160,167,229,169,171,262,158,172,256,259,257,258,250,254,177,103,180,195,203,253,204,208,176,198,197,207,192,205,247,182,266,193,251,202,227,194,188,184,244,186,201,181,183,161,231,245,185,243,196,232,212,211,296,2,655])).
% 98.67/98.77  cnf(7049,plain,
% 98.67/98.77     (P1(x70491,a1,f13(a2,a2,a15,a15,a1,a1))),
% 98.67/98.77     inference(scs_inference,[],[1351,6742,6746,6860,6956,6962,5430,5847,6535,6694,5068,6774,6580,5290,5459,5882,6359,6572,6712,6722,6755,6870,6843,6874,6944,6827,6884,6887,6807,6967,6275,5692,5155,6710,5134,6825,6819,6566,6544,5016,5606,5686,4422,5870,6186,5778,5948,6351,5640,5485,5795,6269,6948,5682,6937,6303,5373,6062,5532,5672,4936,5284,5104,6226,5565,6945,6950,5258,7037,5072,4926,7013,324,471,707,854,1506,635,168,157,155,261,260,230,156,170,263,160,167,229,169,171,262,158,172,256,259,257,258,250,254,177,103,180,195,203,253,204,208,176,198,197,207,192,205,247,182,266,193,251,202,227,194,188,184,244,186,201,181,183,161,231,245,185,243,196,232,212,211,296,2,655,252,159])).
% 98.67/98.77  cnf(7053,plain,
% 98.67/98.77     (P10(f27(a2,a2,a2,a2,a16,a16),a16,a2,a2)),
% 98.67/98.77     inference(scs_inference,[],[1351,6742,6746,6860,6956,6962,5430,5847,6535,6694,5068,6774,6580,5290,5459,5882,6359,6572,6712,6722,6755,6870,6843,6874,6944,6827,6884,6887,6807,6967,6275,5692,5155,6710,5134,6825,6819,6566,6544,5016,5606,5686,4422,5870,6186,5778,5948,6351,5640,5485,5795,6269,6948,5682,6937,6303,5373,6062,5532,5672,4936,5284,5104,6226,5565,6945,6950,5258,7037,5072,4926,7013,324,471,707,854,1506,635,168,157,155,261,260,230,156,170,263,160,167,229,169,171,262,158,172,256,259,257,258,250,254,177,103,180,195,203,253,204,208,176,198,197,207,192,205,247,182,266,193,251,202,227,194,188,184,244,186,201,181,183,161,231,245,185,243,196,232,212,211,296,2,655,252,159,209])).
% 98.67/98.77  cnf(7085,plain,
% 98.67/98.77     (P9(x70851,x70851,x70852,x70851)),
% 98.67/98.77     inference(scs_inference,[],[6966,4675,5236,5986,6692,7020,6363,6943,6924,7049,6896,6973,7053,6781,471,1506,157,168,155,261,230,170,156,263,260,167,160,169])).
% 98.67/98.77  cnf(7089,plain,
% 98.67/98.77     (P3(f27(a17,a20,a17,a20,a1,a1),a20,a17)),
% 98.67/98.77     inference(scs_inference,[],[6966,4675,5236,5986,6692,7020,6363,6943,6924,7049,6896,6973,7053,6781,471,1506,157,168,155,261,230,170,156,263,260,167,160,169,229,158])).
% 98.67/98.77  cnf(7095,plain,
% 98.67/98.77     (P4(a20,a1,a17,a1)),
% 98.67/98.77     inference(scs_inference,[],[6966,4675,5236,5986,6692,7020,6363,6734,6791,6943,6924,7049,6896,6973,7053,6781,471,1506,157,168,155,261,230,170,156,263,260,167,160,169,229,158,171,262,172])).
% 98.67/98.77  cnf(7097,plain,
% 98.67/98.77     (P8(x70971,x70972,x70972,x70972,x70971,x70973,x70973,x70972)),
% 98.67/98.77     inference(scs_inference,[],[6930,6966,4675,5236,5986,6692,7020,6363,6734,6791,6943,6924,7049,6896,6973,7053,6781,471,1506,157,168,155,261,230,170,156,263,260,167,160,169,229,158,171,262,172,256])).
% 98.67/98.77  cnf(7099,plain,
% 98.67/98.77     (P8(x70991,x70992,x70992,x70992,x70993,x70991,x70992,x70993)),
% 98.67/98.77     inference(scs_inference,[],[6930,6934,6966,4675,5236,5986,6692,7020,6363,6734,6791,6943,6924,7049,6896,6973,7053,6781,471,1506,157,168,155,261,230,170,156,263,260,167,160,169,229,158,171,262,172,256,259])).
% 98.67/98.77  cnf(7103,plain,
% 98.67/98.77     (P8(x71031,x71032,x71032,x71033,x71031,x71031,x71033,x71031)),
% 98.67/98.77     inference(scs_inference,[],[6930,6932,6934,6966,4675,5236,5986,6692,6916,7020,6363,6734,6791,6943,6924,7049,6896,6973,7053,6781,471,1506,157,168,155,261,230,170,156,263,260,167,160,169,229,158,171,262,172,256,259,257,258])).
% 98.67/98.77  cnf(7106,plain,
% 98.67/98.77     (P5(x71061,x71061,x71062,x71063)),
% 98.67/98.77     inference(rename_variables,[],[6333])).
% 98.67/98.77  cnf(7108,plain,
% 98.67/98.77     (P4(x71081,x71082,x71081,x71082)),
% 98.67/98.77     inference(scs_inference,[],[6930,6932,6934,6966,4675,5236,5986,6540,6692,6916,7020,6363,6734,6791,6943,6924,7049,6896,6973,7053,6781,6333,5788,471,1506,157,168,155,261,230,170,156,263,260,167,160,169,229,158,171,262,172,256,259,257,258,234,177])).
% 98.67/98.77  cnf(7109,plain,
% 98.67/98.77     (P9(x71091,x71092,x71092,x71092)),
% 98.67/98.77     inference(rename_variables,[],[6966])).
% 98.67/98.77  cnf(7111,plain,
% 98.67/98.77     (P1(f26(x71111,x71111,x71112,x71111),x71112,x71111)),
% 98.67/98.77     inference(scs_inference,[],[6930,6932,6934,6966,7109,4675,5236,5986,6540,6692,6916,7020,6363,6734,6791,6943,6924,7049,6896,6973,7053,6781,6333,5092,5788,471,1506,157,168,155,261,230,170,156,263,260,167,160,169,229,158,171,262,172,256,259,257,258,234,177,254])).
% 98.67/98.77  cnf(7112,plain,
% 98.67/98.77     (P8(x71121,x71122,x71123,x71124,x71122,x71121,x71123,x71124)),
% 98.67/98.77     inference(rename_variables,[],[5092])).
% 98.67/98.77  cnf(7118,plain,
% 98.67/98.77     (P4(x71181,x71181,x71182,x71182)),
% 98.67/98.77     inference(rename_variables,[],[6860])).
% 98.67/98.77  cnf(7124,plain,
% 98.67/98.77     (P9(x71241,x71242,x71242,x71242)),
% 98.67/98.77     inference(rename_variables,[],[6966])).
% 98.67/98.77  cnf(7129,plain,
% 98.67/98.77     (P9(x71291,x71292,x71292,x71292)),
% 98.67/98.77     inference(rename_variables,[],[6966])).
% 98.67/98.77  cnf(7132,plain,
% 98.67/98.77     (P9(x71321,x71322,x71322,x71321)),
% 98.67/98.77     inference(rename_variables,[],[5565])).
% 98.67/98.77  cnf(7134,plain,
% 98.67/98.77     (P10(f29(x71341,x71342,x71342,x71342,x71342),x71342,x71341,x71342)),
% 98.67/98.77     inference(scs_inference,[],[6930,6932,6934,6966,7109,7124,7129,4675,5236,5986,6540,6692,6916,7020,6363,6734,6791,7025,6943,6924,7049,6896,6973,7053,6781,6860,7118,5335,6333,5872,5092,7112,5565,5788,471,1506,157,168,155,261,230,170,156,263,260,167,160,169,229,158,171,262,172,256,259,257,258,234,177,254,195,203,253,204,208,198,192,205])).
% 98.67/98.77  cnf(7140,plain,
% 98.67/98.77     (P8(x71401,x71402,x71402,x71403,x71401,x71403,x71403,x71403)),
% 98.67/98.77     inference(rename_variables,[],[6930])).
% 98.67/98.77  cnf(7143,plain,
% 98.67/98.77     (P9(x71431,x71432,x71432,x71431)),
% 98.67/98.77     inference(rename_variables,[],[5565])).
% 98.67/98.77  cnf(7148,plain,
% 98.67/98.77     (P9(x71481,x71482,x71482,x71481)),
% 98.67/98.77     inference(rename_variables,[],[5565])).
% 98.67/98.77  cnf(7152,plain,
% 98.67/98.77     (P9(x71521,x71522,x71522,x71522)),
% 98.67/98.77     inference(rename_variables,[],[6966])).
% 98.67/98.77  cnf(7154,plain,
% 98.67/98.77     (~P9(a19,a19,a2,f5(a2,a2,a15))),
% 98.67/98.77     inference(scs_inference,[],[1411,6930,6932,6934,6966,7109,7124,7129,7152,4675,5236,5986,6540,6692,6916,7020,6363,6476,6720,6734,6791,7025,6943,6924,7049,6896,6973,7012,7053,6781,6365,6860,7118,5335,6333,5872,5092,7112,5565,7132,7143,5788,471,1506,157,168,155,261,230,170,156,263,260,167,160,169,229,158,171,262,172,256,259,257,258,234,177,254,195,203,253,204,208,198,192,205,207,266,182,247,193,251,184])).
% 98.67/98.77  cnf(7155,plain,
% 98.67/98.77     (P9(x71551,x71552,x71552,x71552)),
% 98.67/98.77     inference(rename_variables,[],[6966])).
% 98.67/98.77  cnf(7163,plain,
% 98.67/98.77     (P8(x71631,x71632,x71632,x71633,x71631,x71633,x71633,x71633)),
% 98.67/98.77     inference(rename_variables,[],[6930])).
% 98.67/98.77  cnf(7164,plain,
% 98.67/98.77     (P10(a17,x71641,a18,x71641)),
% 98.67/98.77     inference(rename_variables,[],[6811])).
% 98.67/98.77  cnf(7166,plain,
% 98.67/98.77     (~P10(a18,a19,f5(a2,a2,a2),f4(a2,a2,a15))),
% 98.67/98.77     inference(scs_inference,[],[1411,6930,7140,6932,6934,6966,7109,7124,7129,7152,4675,5236,5986,6540,6692,6811,6916,7020,6363,6476,6720,6734,6791,7025,6943,6924,7049,6896,6973,6816,7012,7053,6781,6365,6860,7118,6827,5335,6333,5872,5092,7112,5565,7132,7143,7148,5788,471,1506,157,168,155,261,230,170,156,263,260,167,160,169,229,158,171,262,172,256,259,257,258,234,177,254,195,203,253,204,208,198,192,205,207,266,182,247,193,251,184,188,194,244,186])).
% 98.67/98.77  cnf(7170,plain,
% 98.67/98.77     (P9(x71701,x71702,x71702,x71702)),
% 98.67/98.77     inference(rename_variables,[],[6966])).
% 98.67/98.77  cnf(7175,plain,
% 98.67/98.77     (P9(x71751,x71752,x71752,x71752)),
% 98.67/98.77     inference(rename_variables,[],[6966])).
% 98.67/98.77  cnf(7178,plain,
% 98.67/98.77     (P9(x71781,x71782,x71782,x71782)),
% 98.67/98.77     inference(rename_variables,[],[6966])).
% 98.67/98.77  cnf(7185,plain,
% 98.67/98.77     (P9(x71851,x71852,x71852,x71853)),
% 98.67/98.77     inference(scs_inference,[],[142,1411,6930,7140,7163,6932,6934,6966,7109,7124,7129,7152,7155,7170,7175,7178,4675,5236,5986,6540,6692,6811,6916,7020,6363,6476,6720,6734,6791,7025,6943,6924,6051,7049,6896,6973,6816,7012,7053,6781,6365,6860,7118,6827,5335,6333,5872,6367,5092,7112,5565,7132,7143,7148,5788,471,1506,157,168,155,261,230,170,156,263,260,167,160,169,229,158,171,262,172,256,259,257,258,234,177,254,195,203,253,204,208,198,192,205,207,266,182,247,193,251,184,188,194,244,186,202,227,201,181,231,161,245])).
% 98.67/98.77  cnf(7193,plain,
% 98.67/98.77     (P3(a18,a16,a17)),
% 98.67/98.77     inference(scs_inference,[],[142,1411,6930,7140,7163,6932,6934,6966,7109,7124,7129,7152,7155,7170,7175,7178,4675,5236,5986,6540,6692,6811,7164,6916,7020,6363,6476,6720,6734,6791,7025,7042,6943,6924,6051,7049,6896,6973,6816,7012,7053,6781,6365,6860,7118,6827,6542,5335,6333,6123,5872,6367,5092,7112,5565,7132,7143,7148,5788,471,1506,157,168,155,261,230,170,156,263,260,167,160,169,229,158,171,262,172,256,259,257,258,234,177,254,195,203,253,204,208,198,192,205,207,266,182,247,193,251,184,188,194,244,186,202,227,201,181,231,161,245,183,185,166])).
% 98.67/98.77  cnf(7196,plain,
% 98.67/98.77     (P3(f13(a2,a2,a15,a15,a1,a1),a1,f13(a2,a2,a15,a15,a1,a1))),
% 98.67/98.77     inference(scs_inference,[],[142,1411,6930,7140,7163,6932,6934,6966,7109,7124,7129,7152,7155,7170,7175,7178,4675,5236,5986,6540,6692,6811,7164,6916,7020,6363,6476,6720,6734,6791,7025,7042,6943,6924,6051,7049,6896,6973,6816,7012,7053,6781,6365,6860,7118,6827,6542,5335,5717,6333,6143,6123,5872,6367,5092,7112,5565,7132,7143,7148,5788,471,1506,157,168,155,261,230,170,156,263,260,167,160,169,229,158,171,262,172,256,259,257,258,234,177,254,195,203,253,204,208,198,192,205,207,266,182,247,193,251,184,188,194,244,186,202,227,201,181,231,161,245,183,185,166,243])).
% 98.67/98.77  cnf(7207,plain,
% 98.67/98.77     (P3(a16,x72071,x72071)),
% 98.67/98.77     inference(scs_inference,[],[142,1411,6930,7140,7163,6932,6934,6966,7109,7124,7129,7152,7155,7170,7175,7178,4675,5236,5986,6540,6692,6811,7164,6916,7020,6363,6476,6720,6734,6791,7025,7042,6943,6924,6051,7049,6896,6973,6482,6816,7012,7053,6781,6365,6860,7118,6827,6542,5335,6235,5717,6333,7106,6143,6123,5872,6367,5092,7112,5565,7132,7143,7148,4912,5788,471,1506,157,168,155,261,230,170,156,263,260,167,160,169,229,158,171,262,172,256,259,257,258,234,177,254,195,203,253,204,208,198,192,205,207,266,182,247,193,251,184,188,194,244,186,202,227,201,181,231,161,245,183,185,166,243,190,196,179])).
% 98.67/98.77  cnf(7218,plain,
% 98.67/98.77     (P9(a2,a2,a20,a16)),
% 98.67/98.77     inference(scs_inference,[],[142,1411,6930,7140,7163,6932,6934,6966,7109,7124,7129,7152,7155,7170,7175,7178,4675,5236,5986,6540,6692,6811,7164,6916,7020,6363,6476,6720,6734,6791,7025,7042,6943,6924,6051,7049,6896,6973,6482,6816,7012,7053,6718,6781,6365,6860,7118,6827,6542,5335,6235,5717,6333,7106,6143,6123,5872,5999,6367,5092,7112,5565,7132,7143,7148,4912,4926,284,5788,471,1506,157,168,155,261,230,170,156,263,260,167,160,169,229,158,171,262,172,256,259,257,258,234,177,254,195,203,253,204,208,198,192,205,207,266,182,247,193,251,184,188,194,244,186,202,227,201,181,231,161,245,183,185,166,243,190,196,179,232,212,211,772])).
% 98.67/98.77  cnf(7242,plain,
% 98.67/98.77     (P9(x72421,x72422,x72422,x72423)),
% 98.67/98.77     inference(rename_variables,[],[7185])).
% 98.67/98.77  cnf(7245,plain,
% 98.67/98.77     (P9(x72451,x72451,x72452,x72451)),
% 98.67/98.77     inference(rename_variables,[],[7085])).
% 98.67/98.77  cnf(7248,plain,
% 98.67/98.77     (P9(x72481,x72481,x72482,x72481)),
% 98.67/98.77     inference(rename_variables,[],[7085])).
% 98.67/98.77  cnf(7251,plain,
% 98.67/98.77     (P9(x72511,x72512,x72512,x72513)),
% 98.67/98.77     inference(rename_variables,[],[7185])).
% 98.67/98.77  cnf(7254,plain,
% 98.67/98.77     (P10(f29(x72541,x72542,x72542,x72542,x72542),x72542,x72541,x72542)),
% 98.67/98.77     inference(rename_variables,[],[7134])).
% 98.67/98.77  cnf(7257,plain,
% 98.67/98.77     (P9(x72571,x72572,x72572,x72573)),
% 98.67/98.77     inference(rename_variables,[],[7185])).
% 98.67/98.77  cnf(7260,plain,
% 98.67/98.77     (P10(f29(x72601,x72602,x72602,x72602,x72602),x72602,x72601,x72602)),
% 98.67/98.77     inference(rename_variables,[],[7134])).
% 98.67/98.77  cnf(7263,plain,
% 98.67/98.77     (P10(f29(x72631,x72632,x72632,x72632,x72632),x72632,x72631,x72632)),
% 98.67/98.77     inference(rename_variables,[],[7134])).
% 98.67/98.77  cnf(7266,plain,
% 98.67/98.77     (P9(x72661,x72661,x72662,x72661)),
% 98.67/98.77     inference(rename_variables,[],[7085])).
% 98.67/98.77  cnf(7269,plain,
% 98.67/98.77     (P10(f29(x72691,x72692,x72692,x72692,x72692),x72692,x72691,x72692)),
% 98.67/98.77     inference(rename_variables,[],[7134])).
% 98.67/98.77  cnf(7272,plain,
% 98.67/98.77     (P9(x72721,x72721,x72722,x72721)),
% 98.67/98.77     inference(rename_variables,[],[7085])).
% 98.67/98.77  cnf(7275,plain,
% 98.67/98.77     (P9(x72751,x72751,x72752,x72751)),
% 98.67/98.77     inference(rename_variables,[],[7085])).
% 98.67/98.77  cnf(7278,plain,
% 98.67/98.77     (P1(f26(x72781,x72781,x72782,x72781),x72782,x72781)),
% 98.67/98.77     inference(rename_variables,[],[7111])).
% 98.67/98.77  cnf(7281,plain,
% 98.67/98.77     (P1(f26(x72811,x72811,x72812,x72811),x72812,x72811)),
% 98.67/98.77     inference(rename_variables,[],[7111])).
% 98.67/98.77  cnf(7284,plain,
% 98.67/98.77     (P10(f29(x72841,x72842,x72842,x72842,x72842),x72842,x72841,x72842)),
% 98.67/98.77     inference(rename_variables,[],[7134])).
% 98.67/98.77  cnf(7287,plain,
% 98.67/98.77     (P10(f29(x72871,x72872,x72872,x72872,x72872),x72872,x72871,x72872)),
% 98.67/98.77     inference(rename_variables,[],[7134])).
% 98.67/98.77  cnf(7290,plain,
% 98.67/98.77     (P9(x72901,x72901,x72902,x72901)),
% 98.67/98.77     inference(rename_variables,[],[7085])).
% 98.67/98.77  cnf(7293,plain,
% 98.67/98.77     (P9(x72931,x72931,x72932,x72931)),
% 98.67/98.77     inference(rename_variables,[],[7085])).
% 98.67/98.77  cnf(7296,plain,
% 98.67/98.77     (P9(x72961,x72961,x72962,x72961)),
% 98.67/98.77     inference(rename_variables,[],[7085])).
% 98.67/98.77  cnf(7299,plain,
% 98.67/98.77     (P9(x72991,x72991,x72992,x72991)),
% 98.67/98.77     inference(rename_variables,[],[7085])).
% 98.67/98.77  cnf(7302,plain,
% 98.67/98.77     (P9(x73021,x73021,x73022,x73021)),
% 98.67/98.77     inference(rename_variables,[],[7085])).
% 98.67/98.77  cnf(7305,plain,
% 98.67/98.77     (P1(f26(x73051,x73051,x73052,x73051),x73052,x73051)),
% 98.67/98.77     inference(rename_variables,[],[7111])).
% 98.67/98.77  cnf(7311,plain,
% 98.67/98.77     (P9(x73111,x73111,x73112,x73111)),
% 98.67/98.77     inference(rename_variables,[],[7085])).
% 98.67/98.77  cnf(7314,plain,
% 98.67/98.77     (P1(f26(x73141,x73141,x73142,x73141),x73142,x73141)),
% 98.67/98.77     inference(rename_variables,[],[7111])).
% 98.67/98.77  cnf(7330,plain,
% 98.67/98.77     (P9(x73301,x73302,x73303,x73302)),
% 98.67/98.77     inference(scs_inference,[],[7085,7245,7248,7266,7272,7275,7290,7293,7296,7299,7302,7108,7185,7242,7251,7257,6702,5668,6562,7134,7254,7260,7263,7269,7284,7287,7111,7278,7281,7305,7314,7089,6164,612,1198,1033,296,901,548,1125,498,593,1232,772,1273,1622,1600,471,655,707,854,1214,1177,1145,1611,445,635,1589,1506,168,155,157,261,230,260,170])).
% 98.67/98.77  cnf(7361,plain,
% 98.67/98.77     (P9(x73611,a17,x73611,a20)),
% 98.67/98.77     inference(rename_variables,[],[7020])).
% 98.67/98.77  cnf(7366,plain,
% 98.67/98.77     (P9(x73661,x73662,x73662,x73663)),
% 98.67/98.77     inference(rename_variables,[],[7185])).
% 98.67/98.77  cnf(7368,plain,
% 98.67/98.77     (P9(x73681,x73681,x73682,x73681)),
% 98.67/98.77     inference(rename_variables,[],[7085])).
% 98.67/98.77  cnf(7370,plain,
% 98.67/98.77     (P9(x73701,x73702,x73702,x73703)),
% 98.67/98.77     inference(rename_variables,[],[7185])).
% 98.67/98.77  cnf(7372,plain,
% 98.67/98.77     (P9(x73721,x73722,x73722,x73723)),
% 98.67/98.77     inference(rename_variables,[],[7185])).
% 98.67/98.77  cnf(7373,plain,
% 98.67/98.77     (P4(x73731,x73732,x73731,x73732)),
% 98.67/98.77     inference(rename_variables,[],[7108])).
% 98.67/98.77  cnf(7376,plain,
% 98.67/98.77     (P9(x73761,x73761,x73762,x73761)),
% 98.67/98.77     inference(rename_variables,[],[7085])).
% 98.67/98.77  cnf(7379,plain,
% 98.67/98.77     (P9(x73791,x73791,x73792,x73791)),
% 98.67/98.77     inference(rename_variables,[],[7085])).
% 98.67/98.77  cnf(7382,plain,
% 98.67/98.77     (P9(x73821,x73822,x73822,x73823)),
% 98.67/98.77     inference(rename_variables,[],[7185])).
% 98.67/98.77  cnf(7385,plain,
% 98.67/98.77     (P9(x73851,a17,x73851,a20)),
% 98.67/98.77     inference(rename_variables,[],[7020])).
% 98.67/98.77  cnf(7392,plain,
% 98.67/98.77     (P9(x73921,x73922,x73922,x73923)),
% 98.67/98.77     inference(rename_variables,[],[7185])).
% 98.67/98.77  cnf(7395,plain,
% 98.67/98.77     (P9(x73951,x73952,x73952,x73953)),
% 98.67/98.77     inference(rename_variables,[],[7185])).
% 98.67/98.77  cnf(7398,plain,
% 98.67/98.77     (P9(x73981,x73981,x73982,x73981)),
% 98.67/98.77     inference(rename_variables,[],[7085])).
% 98.67/98.77  cnf(7403,plain,
% 98.67/98.77     (P9(x74031,x74032,x74032,x74033)),
% 98.67/98.77     inference(rename_variables,[],[7185])).
% 98.67/98.77  cnf(7411,plain,
% 98.67/98.77     (P9(x74111,x74112,x74112,x74113)),
% 98.67/98.77     inference(rename_variables,[],[7185])).
% 98.67/98.77  cnf(7419,plain,
% 98.67/98.77     (P9(x74191,x74192,x74192,x74193)),
% 98.67/98.77     inference(rename_variables,[],[7185])).
% 98.67/98.77  cnf(7426,plain,
% 98.67/98.77     (~P9(a19,x74261,f5(a2,a2,a2),f4(a2,a2,a15))),
% 98.67/98.77     inference(scs_inference,[],[1363,7097,7099,7103,7085,7245,7248,7266,7272,7275,7290,7293,7296,7299,7302,7311,7368,7376,7379,7398,7108,7373,7185,7242,7251,7257,7366,7370,7372,7382,7392,7395,7403,7411,7419,6702,7045,5252,5668,7218,7207,6928,6562,6920,7095,7193,7134,7254,7260,7263,7269,7284,7287,7111,7278,7281,7305,7314,7196,7166,7089,7154,6164,4833,7020,7361,7385,6229,6755,6099,6062,5284,612,1198,1033,296,901,548,1125,498,593,1232,772,1273,1622,1600,471,655,707,854,1214,1177,1145,1611,445,635,1589,1506,168,155,157,261,230,260,170,263,156,169,167,160,229,171,262,158,172,256,259,257,258,252,162,118,119,117,180,177,203,204,195,253,197,198,205,208,192,207,266,182,247,251,193,244,188,184])).
% 98.67/98.77  cnf(7499,plain,
% 98.67/98.77     ($false),
% 98.67/98.77     inference(scs_inference,[],[7330,7426]),
% 98.67/98.77     ['proof']).
% 98.67/98.77  % SZS output end Proof
% 98.67/98.77  % Total time :98.020000s
%------------------------------------------------------------------------------