TSTP Solution File: SYN163-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN163-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 01:44:28 EDT 2023

% Result   : Unsatisfiable 0.62s 1.40s
% Output   : CNFRefutation 0.62s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN163-1 : TPTP v8.1.2. Released v1.1.0.
% 0.11/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34  % Computer : n028.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   : Sat Aug 26 20:59:22 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.57  start to proof:theBenchmark
% 0.62/1.40  %-------------------------------------------
% 0.62/1.40  % File        :CSE---1.6
% 0.62/1.40  % Problem     :theBenchmark
% 0.62/1.40  % Transform   :cnf
% 0.62/1.40  % Format      :tptp:raw
% 0.62/1.40  % Command     :java -jar mcs_scs.jar %d %s
% 0.62/1.40  
% 0.62/1.40  % Result      :Theorem 0.730000s
% 0.62/1.40  % Output      :CNFRefutation 0.730000s
% 0.62/1.40  %-------------------------------------------
% 0.62/1.40  %--------------------------------------------------------------------------
% 0.62/1.40  % File     : SYN163-1 : TPTP v8.1.2. Released v1.1.0.
% 0.62/1.40  % Domain   : Syntactic (Random Prolog Theory)
% 0.62/1.40  % Problem  : RPT63 synthetic problem 61 (quasi-uniform distribution)
% 0.62/1.40  % Version  : [SE94] axioms : Especial.
% 0.62/1.40  % English  :
% 0.62/1.40  
% 0.62/1.40  % Refs     : [SE94]  Segre & Elkan (1994), A High-Performance Explanation-B
% 0.62/1.40  % Source   : [SE94]
% 0.62/1.40  % Names    : - [SE94]
% 0.62/1.40  
% 0.62/1.40  % Status   : Unsatisfiable
% 0.62/1.40  % Rating   : 0.00 v7.3.0, 0.10 v7.2.0, 0.11 v7.1.0, 0.14 v7.0.0, 0.00 v6.2.0, 0.12 v6.1.0, 0.00 v3.1.0, 0.11 v2.7.0, 0.00 v2.2.0, 0.11 v2.1.0, 0.00 v2.0.0
% 0.62/1.40  % Syntax   : Number of clauses     :  369 (  39 unt;   0 nHn; 362 RR)
% 0.62/1.40  %            Number of literals    : 1060 (   0 equ; 692 neg)
% 0.62/1.40  %            Maximal clause size   :    5 (   2 avg)
% 0.62/1.40  %            Maximal term depth    :    1 (   1 avg)
% 0.62/1.40  %            Number of predicates  :   48 (  48 usr;   0 prp; 1-3 aty)
% 0.62/1.40  %            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
% 0.62/1.40  %            Number of variables   :  626 ( 160 sgn)
% 0.62/1.40  % SPC      : CNF_UNS_EPR_NEQ_HRN
% 0.62/1.40  
% 0.62/1.40  % Comments : This theory has a finite deductive closure.
% 0.62/1.40  %--------------------------------------------------------------------------
% 0.62/1.40  %----Include Synthetic domain theory for EBL
% 0.62/1.40  include('Axioms/SYN001-0.ax').
% 0.62/1.40  %--------------------------------------------------------------------------
% 0.62/1.40  cnf(prove_this,negated_conjecture,
% 0.62/1.40      ~ n5(e,a) ).
% 0.62/1.40  
% 0.62/1.40  %--------------------------------------------------------------------------
% 0.62/1.40  %-------------------------------------------
% 0.62/1.40  % Proof found
% 0.62/1.40  % SZS status Theorem for theBenchmark
% 0.62/1.40  % SZS output start Proof
% 0.62/1.41  %ClaNum:362(EqnAxiom:0)
% 0.62/1.41  %VarNum:1493(SingletonVarNum:573)
% 0.62/1.41  %MaxLitNum:5
% 0.62/1.41  %MaxfuncDepth:0
% 0.62/1.41  %SharedTerms:201
% 0.62/1.41  %goalClause: 39
% 0.62/1.41  %singleGoalClaCount:1
% 0.62/1.41  [1]P1(a1)
% 0.62/1.41  [2]P1(a2)
% 0.62/1.41  [3]P2(a5)
% 0.62/1.41  [4]P2(a2)
% 0.62/1.41  [5]P3(a3)
% 0.62/1.41  [6]P3(a4)
% 0.62/1.41  [7]P4(a5)
% 0.62/1.41  [8]P4(a2)
% 0.62/1.41  [10]P10(a1,a2)
% 0.62/1.41  [11]P10(a1,a4)
% 0.62/1.41  [13]P10(a3,a2)
% 0.62/1.41  [14]P10(a2,a5)
% 0.62/1.41  [15]P10(a2,a2)
% 0.62/1.41  [16]P11(a1,a5)
% 0.62/1.41  [17]P11(a1,a2)
% 0.62/1.41  [18]P11(a1,a4)
% 0.62/1.41  [19]P11(a5,a5)
% 0.62/1.41  [20]P11(a5,a2)
% 0.62/1.41  [21]P11(a3,a2)
% 0.62/1.41  [22]P11(a2,a3)
% 0.62/1.41  [23]P11(a4,a1)
% 0.62/1.41  [26]P23(a4,a2)
% 0.62/1.41  [29]P12(a1,a5,a4)
% 0.62/1.41  [32]P12(a5,a2,a4)
% 0.62/1.41  [33]P12(a3,a5,a5)
% 0.62/1.41  [34]P12(a2,a3,a3)
% 0.62/1.41  [35]P12(a2,a2,a5)
% 0.62/1.41  [36]P12(a4,a2,a3)
% 0.62/1.41  [39]~P24(a5,a3)
% 0.62/1.41  [27]P10(x271,a1)
% 0.62/1.41  [28]P23(a2,x281)
% 0.62/1.41  [37]P12(a3,x371,a3)
% 0.62/1.41  [38]P12(x381,a1,x382)
% 0.62/1.41  [40]P18(a2)+~P5(a2)
% 0.62/1.41  [43]P34(a3,a3)+~P40(a3)
% 0.62/1.41  [58]P7(a5,a5)+~P15(a5,a5)
% 0.62/1.41  [59]P14(a1,a1)+~P7(a3,a1)
% 0.62/1.41  [60]P14(a4,a4)+~P7(a2,a4)
% 0.62/1.41  [79]P19(a5,a5,a5)+~P2(a5)
% 0.62/1.41  [80]P19(a2,a2,a2)+~P3(a2)
% 0.62/1.41  [81]P19(a4,a4,a4)+~P3(a4)
% 0.62/1.41  [82]P26(a4,a4,a4)+~P3(a4)
% 0.62/1.41  [83]P29(a3,a3,a3)+~P3(a3)
% 0.62/1.41  [85]P37(a2,a2,a2)+~P3(a2)
% 0.62/1.41  [86]P8(a3,a3,a3)+~P41(a3)
% 0.62/1.41  [87]P8(a4,a4,a4)+~P41(a4)
% 0.62/1.41  [116]P26(a1,a1,a1)+~P10(a1,a1)
% 0.62/1.41  [119]P22(a2,a2,a2)+~P16(a3,a2)
% 0.62/1.41  [120]P31(a2,a4,a2)+~P7(a4,a2)
% 0.62/1.41  [171]P24(a1,a1)+~P32(a4,a1,a4)
% 0.62/1.41  [213]P29(a4,a5,a2)+~P12(a2,a4,a5)
% 0.62/1.41  [214]P30(a1,a2,a2)+~P29(a1,a2,a5)
% 0.62/1.41  [215]P30(a3,a3,a3)+~P29(a5,a5,a3)
% 0.62/1.41  [216]P22(a2,a2,a2)+~P38(a3,a2,a3)
% 0.62/1.41  [46]~P41(x461)+P14(x461,x461)
% 0.62/1.41  [47]~P6(x471)+P20(x471,x471)
% 0.62/1.41  [48]~P40(x481)+P24(x481,x481)
% 0.62/1.41  [49]~P13(x491)+P34(x491,x491)
% 0.62/1.41  [50]~P6(x501)+P43(x501,x501)
% 0.62/1.41  [54]~P23(x541,x541)+P45(x541)
% 0.62/1.41  [68]~P21(x681,x681)+P34(x681,x681)
% 0.62/1.41  [69]~P35(x691,x691)+P34(x691,x691)
% 0.62/1.41  [96]~P1(x961)+P19(x961,x961,x961)
% 0.62/1.41  [97]~P2(x971)+P26(x971,x971,x971)
% 0.62/1.41  [98]~P4(x981)+P29(x981,x981,x981)
% 0.62/1.41  [100]~P1(x1001)+P37(x1001,x1001,x1001)
% 0.62/1.41  [101]~P2(x1011)+P37(x1011,x1011,x1011)
% 0.62/1.41  [102]~P5(x1021)+P30(x1021,x1021,x1021)
% 0.62/1.41  [103]~P18(x1031)+P8(x1031,x1031,x1031)
% 0.62/1.41  [104]~P25(x1041)+P8(x1041,x1041,x1041)
% 0.62/1.41  [105]~P25(x1051)+P22(x1051,x1051,x1051)
% 0.62/1.41  [106]~P25(x1061)+P31(x1061,x1061,x1061)
% 0.62/1.41  [107]~P41(x1071)+P42(x1071,x1071,x1071)
% 0.62/1.41  [108]~P44(x1081)+P42(x1081,x1081,x1081)
% 0.62/1.41  [134]P30(x1341,x1341,x1341)+~P15(x1341,a1)
% 0.62/1.41  [146]~P16(x1461,x1461)+P31(x1461,x1461,x1461)
% 0.62/1.41  [223]P30(x2231,a5,x2231)+~P26(x2231,a5,a5)
% 0.62/1.41  [224]P37(x2241,x2241,x2241)+~P12(x2241,a4,a2)
% 0.62/1.41  [225]P30(x2251,x2251,x2251)+~P26(a1,a1,x2251)
% 0.62/1.41  [227]~P37(x2271,a3,x2271)+P30(x2271,a3,x2271)
% 0.62/1.41  [243]~P37(x2431,x2431,x2431)+P30(x2431,x2431,x2431)
% 0.62/1.41  [244]~P29(x2441,x2441,x2441)+P38(x2441,x2441,x2441)
% 0.62/1.41  [247]~P30(x2471,x2471,x2471)+P22(x2471,x2471,x2471)
% 0.62/1.41  [53]P5(x531)+~P11(x532,x531)
% 0.62/1.41  [65]P15(x651,x651)+~P11(x652,x651)
% 0.62/1.41  [66]P24(x661,x661)+~P28(x662,x661)
% 0.62/1.41  [67]P24(x671,x671)+~P35(x672,x671)
% 0.62/1.41  [135]P19(x1351,x1351,x1351)+~P10(x1352,x1351)
% 0.62/1.41  [136]~P23(x1362,x1361)+P29(x1361,x1361,x1362)
% 0.62/1.41  [137]P29(x1371,x1371,x1371)+~P10(x1372,x1371)
% 0.62/1.41  [138]P29(x1381,x1381,x1381)+~P11(x1382,x1381)
% 0.62/1.41  [139]P29(x1391,x1391,x1391)+~P23(x1392,x1391)
% 0.62/1.41  [140]~P23(x1402,x1401)+P37(x1401,x1402,x1402)
% 0.62/1.41  [141]P37(x1411,x1411,x1411)+~P10(x1412,x1411)
% 0.62/1.41  [142]P37(x1421,x1421,x1421)+~P11(x1422,x1421)
% 0.62/1.41  [143]P30(x1431,x1431,x1431)+~P15(x1432,x1431)
% 0.62/1.41  [144]~P15(x1442,x1441)+P38(x1441,x1441,x1442)
% 0.62/1.41  [145]~P7(x1452,x1451)+P8(x1451,x1451,x1452)
% 0.62/1.41  [147]P42(x1471,x1471,x1471)+~P16(x1472,x1471)
% 0.62/1.41  [190]P7(x1901,x1901)+~P37(x1902,x1901,x1901)
% 0.62/1.41  [226]P26(x2261,a4,x2261)+~P12(x2262,x2261,a4)
% 0.62/1.41  [231]P38(x2311,x2311,x2311)+~P37(x2312,a4,x2311)
% 0.62/1.41  [232]P26(x2321,x2321,x2322)+~P12(a2,x2322,x2321)
% 0.62/1.41  [234]~P12(x2342,x2342,x2341)+P19(x2341,x2342,x2341)
% 0.62/1.41  [241]~P19(x2412,x2411,x2412)+P30(x2411,x2412,x2411)
% 0.62/1.41  [242]P30(x2421,x2421,x2421)+~P19(x2422,x2422,x2421)
% 0.62/1.41  [245]~P30(x2452,x2451,x2451)+P8(x2451,x2452,x2451)
% 0.62/1.41  [246]P8(x2461,x2461,x2461)+~P30(x2462,x2461,x2461)
% 0.62/1.41  [249]~P8(x2491,x2491,x2492)+P32(x2491,x2492,x2491)
% 0.62/1.41  [250]P32(x2501,x2501,x2501)+~P31(x2502,x2502,x2501)
% 0.62/1.41  [172]P25(x1721)+~P29(x1722,x1723,x1721)
% 0.62/1.41  [173]P27(x1731)+~P30(x1732,x1733,x1731)
% 0.62/1.41  [174]P13(x1741)+~P31(x1742,x1743,x1741)
% 0.62/1.41  [236]P19(x2361,x2361,x2361)+~P12(x2362,x2363,x2361)
% 0.62/1.41  [239]P37(x2391,x2391,x2391)+~P12(x2392,x2393,x2391)
% 0.62/1.41  [248]P42(x2481,x2482,x2481)+~P30(x2481,x2483,x2482)
% 0.62/1.41  [41]P44(a1)+~P1(a1)+~P45(a3)
% 0.62/1.41  [42]P44(a1)+~P39(a1)+~P45(a1)
% 0.62/1.41  [51]P25(a4)+~P4(a2)+~P15(a5,a4)
% 0.62/1.41  [90]P19(a3,a3,a3)+~P1(a1)+~P3(a3)
% 0.62/1.41  [132]~P15(a5,a4)+P30(a5,a4,a4)+~P39(a1)
% 0.62/1.41  [133]P8(a4,a4,a4)+~P44(a5)+~P7(a4,a5)
% 0.62/1.41  [164]P19(a2,a2,a2)+~P10(a4,a1)+~P15(a3,a2)
% 0.62/1.41  [165]P9(a2)+~P47(a5)+~P26(a2,a2,a2)
% 0.62/1.41  [197]P28(a5,a5)+~P14(a2,a3)+~P31(a2,a5,a3)
% 0.62/1.41  [198]P35(a2,a2)+~P15(a2,a4)+~P8(a4,a5,a2)
% 0.62/1.41  [199]P24(a2,a5)+~P28(a2,a5)+~P42(a1,a2,a4)
% 0.62/1.41  [222]P29(a3,a2,a3)+~P2(a2)+~P29(a3,a3,a3)
% 0.62/1.41  [260]P29(a1,a1,a2)+~P23(a1,a2)+~P12(a5,a3,a3)
% 0.62/1.41  [261]P30(a4,a5,a5)+~P15(a4,a2)+~P37(a5,a5,a5)
% 0.62/1.41  [300]P28(a1,a1)+~P37(a1,a1,a1)+~P8(a4,a4,a5)
% 0.62/1.41  [324]P37(a1,a1,a4)+~P12(a4,a2,a3)+~P19(a4,a1,a3)
% 0.62/1.41  [44]~P3(x441)+~P39(x441)+P41(x441)
% 0.62/1.41  [52]~P25(x521)+P14(x521,x521)+~P18(a2)
% 0.62/1.41  [56]~P45(x561)+~P6(x561)+P24(x561,x561)
% 0.62/1.41  [70]~P47(x701)+P20(x701,x701)+~P21(a5,a5)
% 0.62/1.41  [109]~P1(x1091)+P37(x1091,a2,a2)+~P1(a2)
% 0.62/1.41  [113]~P5(x1131)+P37(x1131,x1131,x1131)+~P1(a2)
% 0.62/1.41  [114]~P25(x1141)+P30(x1141,x1141,x1141)+~P5(a5)
% 0.62/1.41  [123]~P1(x1231)+~P4(x1231)+P26(x1231,x1231,x1231)
% 0.62/1.41  [148]P8(x1481,x1481,x1481)+~P15(a2,x1481)+~P41(a4)
% 0.62/1.41  [170]~P23(x1701,a1)+P26(a3,x1701,a2)+~P23(a3,a2)
% 0.62/1.41  [175]P44(x1751)+~P38(a2,x1751,a2)+~P45(a2)
% 0.62/1.41  [182]~P11(x1821,x1821)+P26(x1821,x1821,x1821)+~P10(a3,x1821)
% 0.62/1.41  [203]~P28(x2031,a1)+P24(a1,x2031)+~P8(a1,x2031,a3)
% 0.62/1.41  [228]~P30(x2281,a5,a5)+P22(x2281,a5,a5)+~P25(a5)
% 0.62/1.41  [229]~P22(x2291,a4,a3)+P32(a4,a4,x2291)+~P27(a3)
% 0.62/1.41  [230]~P19(a2,x2301,a5)+P26(a5,a5,x2301)+~P1(a2)
% 0.62/1.41  [233]P22(x2331,a4,x2331)+~P38(x2331,a4,a4)+~P44(a4)
% 0.62/1.41  [283]~P11(x2831,a1)+~P19(a3,x2831,a1)+P30(a3,x2831,a1)
% 0.62/1.41  [326]~P38(x3261,x3261,a2)+~P22(a5,x3261,a5)+P31(a5,a2,a5)
% 0.62/1.41  [328]~P12(x3281,a1,x3281)+P37(a5,x3281,x3281)+~P12(a5,a1,x3281)
% 0.62/1.41  [45]~P13(x451)+P46(x451)+~P40(x452)
% 0.62/1.41  [55]~P2(x551)+P20(x551,x551)+~P47(x552)
% 0.62/1.41  [57]~P18(x572)+~P47(x571)+P34(x571,x572)
% 0.62/1.41  [64]~P5(x641)+P17(x641)+~P35(x642,x642)
% 0.62/1.41  [72]~P15(x721,x721)+P14(x721,x721)+~P44(x722)
% 0.62/1.41  [121]~P2(x1211)+~P3(x1212)+P19(x1211,x1212,x1211)
% 0.62/1.41  [122]~P3(x1221)+~P4(x1222)+P19(x1221,x1222,x1221)
% 0.62/1.41  [124]~P1(x1241)+P29(x1241,x1241,x1241)+~P1(x1242)
% 0.62/1.41  [125]~P4(x1251)+P37(x1251,x1251,x1251)+~P3(x1252)
% 0.62/1.41  [126]~P2(x1261)+P30(x1261,x1261,x1261)+~P39(x1262)
% 0.62/1.41  [150]~P1(x1501)+P37(x1501,x1501,x1502)+~P23(x1502,a1)
% 0.62/1.41  [151]~P5(x1511)+P8(x1511,x1511,x1511)+~P16(x1512,a2)
% 0.62/1.41  [152]~P4(x1522)+P29(x1521,x1521,x1522)+~P11(a1,x1521)
% 0.62/1.41  [153]~P41(x1531)+P22(x1531,x1532,x1531)+~P7(a4,x1532)
% 0.62/1.41  [154]~P44(x1542)+P42(x1541,x1542,x1542)+~P16(a4,x1541)
% 0.62/1.41  [155]~P1(x1551)+~P23(x1551,x1552)+P19(x1551,x1552,x1551)
% 0.62/1.41  [157]~P4(x1571)+~P11(x1572,x1572)+P19(x1571,x1571,x1572)
% 0.62/1.41  [163]~P47(x1632)+~P16(x1631,x1631)+P33(x1631,x1631,x1632)
% 0.62/1.41  [180]~P12(x1802,x1801,x1801)+P13(x1801)+~P13(x1802)
% 0.62/1.41  [187]~P15(x1872,x1871)+P26(x1871,x1871,x1871)+~P11(x1872,x1871)
% 0.62/1.41  [194]~P2(x1941)+~P30(x1941,x1942,x1941)+P14(x1941,x1942)
% 0.62/1.41  [195]~P22(x1951,x1951,x1951)+P28(x1951,x1951)+~P6(x1952)
% 0.62/1.41  [210]~P30(x2102,x2101,x2101)+P36(x2101,x2101)+~P36(x2102,x2101)
% 0.62/1.41  [211]~P28(x2111,x2111)+~P31(x2111,x2112,x2112)+P28(x2111,x2112)
% 0.62/1.41  [212]~P12(x2122,x2121,x2122)+P24(x2121,x2121)+~P24(x2122,x2121)
% 0.62/1.41  [251]~P32(x2511,x2511,x2512)+P33(a2,a2,a2)+~P9(a2)
% 0.62/1.41  [252]P30(x2521,x2521,a1)+~P12(x2522,x2521,a1)+~P39(a3)
% 0.62/1.41  [253]~P29(x2531,x2532,a5)+P30(a5,x2531,x2532)+~P2(a5)
% 0.62/1.41  [254]~P5(x2541)+~P12(x2541,x2542,a5)+P26(x2541,a5,a5)
% 0.62/1.41  [255]~P4(x2552)+~P19(x2551,x2552,a2)+P29(x2551,a2,x2552)
% 0.62/1.41  [267]~P12(x2671,x2671,x2672)+P37(x2671,x2671,x2671)+~P4(x2672)
% 0.62/1.41  [268]~P4(x2682)+~P29(x2681,x2681,x2681)+P38(x2681,x2682,x2682)
% 0.62/1.41  [269]~P26(x2691,x2691,x2692)+P38(x2691,x2691,x2691)+~P5(x2692)
% 0.62/1.41  [271]~P41(x2712)+~P8(x2711,x2712,x2711)+P22(x2711,x2711,x2712)
% 0.62/1.41  [274]~P27(x2741)+P31(x2741,x2741,x2741)+~P30(x2742,x2741,x2741)
% 0.62/1.41  [275]~P2(x2751)+~P42(x2752,x2751,x2752)+P32(x2751,x2751,x2752)
% 0.62/1.41  [289]P29(x2891,x2891,x2891)+~P15(x2891,a2)+~P12(a2,x2892,a2)
% 0.62/1.41  [290]P30(x2901,x2901,x2901)+~P37(x2902,a4,x2902)+~P7(x2901,a4)
% 0.62/1.41  [294]~P23(x2941,x2941)+P30(x2941,x2941,x2941)+~P26(x2942,x2942,x2942)
% 0.62/1.41  [327]~P37(a3,x3272,x3271)+P30(x3271,a5,x3272)+~P26(a5,x3271,a3)
% 0.62/1.41  [330]P42(x3301,x3301,x3301)+~P42(x3301,x3301,x3302)+~P12(a1,x3302,x3301)
% 0.62/1.41  [62]P45(x621)+~P10(x621,x623)+~P45(x622)
% 0.62/1.41  [63]~P1(x631)+P18(x631)+~P15(x632,x633)
% 0.62/1.41  [89]P21(x891,x892)+~P16(x893,x892)+~P48(a3,x891)
% 0.62/1.41  [156]~P2(x1561)+P19(x1561,x1562,x1561)+~P23(x1563,x1562)
% 0.62/1.41  [161]~P27(x1611)+P32(x1611,x1611,x1611)+~P36(x1612,x1613)
% 0.62/1.41  [162]~P45(x1621)+P33(x1621,x1622,x1621)+~P35(x1622,x1623)
% 0.62/1.41  [181]P9(x1811)+~P42(x1813,x1811,x1811)+~P47(x1812)
% 0.62/1.41  [186]~P23(x1861,x1861)+P26(x1861,x1862,x1861)+~P23(x1862,x1863)
% 0.62/1.41  [189]P31(x1891,x1891,x1891)+~P10(x1892,x1891)+~P7(x1893,x1893)
% 0.62/1.41  [196]~P2(x1961)+P20(x1961,x1962)+~P32(x1961,x1963,x1962)
% 0.62/1.41  [208]P14(x2081,x2081)+~P16(x2082,x2082)+~P8(x2083,x2081,x2081)
% 0.62/1.41  [209]~P38(x2093,x2091,x2092)+P36(x2091,x2092)+~P11(x2093,x2091)
% 0.62/1.41  [256]~P3(x2561)+P29(x2561,x2561,x2561)+~P12(x2562,x2563,a2)
% 0.62/1.41  [258]P30(x2581,x2582,x2582)+~P5(x2583)+~P30(a5,x2581,x2582)
% 0.62/1.41  [262]~P12(x2622,x2622,x2621)+P19(x2621,x2622,x2622)+~P3(x2623)
% 0.62/1.41  [263]P26(x2631,x2631,x2631)+~P19(x2632,x2633,x2631)+~P4(x2632)
% 0.62/1.41  [264]~P3(x2641)+P29(x2641,x2641,x2641)+~P12(x2642,x2643,x2641)
% 0.62/1.41  [265]~P19(x2651,x2652,x2652)+P37(x2651,x2651,x2652)+~P2(x2653)
% 0.62/1.41  [270]~P39(x2701)+P8(x2701,x2701,x2701)+~P30(x2702,x2703,x2703)
% 0.62/1.41  [272]~P41(x2722)+~P8(x2722,x2723,x2721)+P31(x2721,x2722,x2723)
% 0.62/1.41  [273]~P5(x2731)+P31(x2731,x2731,x2731)+~P38(x2732,x2733,x2731)
% 0.62/1.41  [293]P19(x2931,x2931,x2931)+~P10(x2932,x2932)+~P19(x2933,x2932,x2931)
% 0.62/1.41  [295]P38(x2951,x2951,x2951)+~P10(x2952,x2951)+~P26(x2952,x2951,x2953)
% 0.62/1.41  [319]P14(x3191,x3191)+~P29(x3191,x3191,x3192)+~P30(x3192,x3193,x3191)
% 0.62/1.41  [329]P30(x3291,x3291,x3291)+~P30(a3,x3292,x3291)+~P19(a3,a3,x3293)
% 0.62/1.41  [333]~P26(x3332,x3331,x3332)+P26(x3331,x3331,x3331)+~P12(x3332,x3332,x3333)
% 0.62/1.41  [335]~P30(x3352,x3351,x3352)+P30(x3351,x3351,x3351)+~P19(x3352,x3353,x3351)
% 0.62/1.41  [336]P30(x3361,x3361,x3361)+~P29(x3361,x3362,x3361)+~P37(x3363,x3363,x3363)
% 0.62/1.41  [337]~P30(x3372,x3372,x3373)+P30(x3371,x3371,x3371)+~P37(x3372,x3373,x3372)
% 0.62/1.41  [338]P8(x3381,x3381,x3381)+~P19(x3381,x3381,x3382)+~P30(x3383,x3382,x3383)
% 0.62/1.41  [340]~P42(x3402,x3402,x3402)+P42(x3401,x3401,x3401)+~P31(x3402,x3401,x3403)
% 0.62/1.41  [342]~P32(x3421,x3423,x3421)+P32(x3421,x3421,x3421)+~P22(x3422,x3423,x3421)
% 0.62/1.41  [188]P37(x1881,x1882,x1881)+~P11(x1883,x1882)+~P23(x1884,x1881)
% 0.62/1.41  [201]P47(x2011)+~P15(x2011,x2012)+~P31(x2013,x2012,x2014)
% 0.62/1.42  [291]~P7(x2912,x2913)+P31(x2911,x2912,x2913)+~P38(x2914,a1,x2911)
% 0.62/1.42  [331]~P19(x3313,x3312,x3311)+P19(x3311,x3312,x3312)+~P19(x3313,x3314,x3312)
% 0.62/1.42  [332]~P12(x3322,x3323,x3321)+P26(x3321,x3321,x3322)+~P12(x3323,x3324,x3324)
% 0.62/1.42  [334]~P29(x3343,x3341,x3344)+P29(x3341,x3342,x3343)+~P12(x3343,x3341,x3344)
% 0.62/1.42  [339]P31(x3391,x3392,x3392)+~P30(x3391,x3392,x3393)+~P22(x3392,x3394,x3393)
% 0.62/1.42  [341]~P42(x3412,x3412,x3411)+P32(x3411,x3412,x3412)+~P32(x3413,x3413,x3414)
% 0.62/1.42  [71]P6(a4)+~P27(a5)+~P11(a4,a1)+~P36(a5,a2)
% 0.62/1.42  [110]P37(a2,a5,a5)+~P1(a5)+~P3(a4)+~P4(a2)
% 0.62/1.42  [184]P14(a1,a4)+~P2(a2)+~P44(a1)+~P8(a3,a4,a3)
% 0.62/1.42  [277]P26(a1,a1,a2)+~P4(a2)+~P10(a2,a5)+~P19(a1,a5,a5)
% 0.62/1.42  [278]P26(a1,a5,a5)+~P2(a2)+~P23(a1,a1)+~P26(a5,a5,a5)
% 0.62/1.42  [279]P38(a1,a3,a3)+~P45(a4)+~P10(a5,a4)+~P38(a1,a4,a3)
% 0.62/1.42  [280]P8(a1,a1,a1)+~P41(a3)+~P16(a5,a2)+~P29(a3,a1,a2)
% 0.62/1.42  [281]P22(a4,a2,a1)+~P18(a1)+~P15(a1,a2)+~P38(a2,a4,a1)
% 0.62/1.42  [130]~P5(x1301)+P29(x1301,x1301,x1301)+~P3(a4)+~P4(a5)
% 0.62/1.42  [131]~P3(x1311)+P8(x1311,x1311,x1311)+~P2(a5)+~P41(a5)
% 0.62/1.42  [296]~P5(x2961)+P37(x2961,x2961,x2961)+~P10(x2961,a2)+~P29(a2,a2,x2961)
% 0.62/1.42  [297]~P2(x2971)+~P16(x2971,x2971)+P42(x2971,a2,x2971)+~P30(a2,x2971,a2)
% 0.62/1.42  [357]P7(x3571,x3571)+~P37(x3571,x3571,a1)+~P19(x3571,a5,x3571)+~P26(a5,a1,x3571)
% 0.62/1.42  [359]~P26(a5,a5,x3591)+~P37(a5,a4,x3591)+~P29(x3591,a2,a2)+P30(a2,a4,a4)
% 0.62/1.42  [61]~P27(x612)+~P47(x611)+P43(x611,x612)+~P4(a2)
% 0.62/1.42  [74]~P5(x741)+~P15(x742,x742)+P15(x741,x741)+~P3(x742)
% 0.62/1.42  [111]~P45(x1111)+~P16(x1112,x1112)+P16(x1111,x1112)+~P11(a5,x1112)
% 0.62/1.42  [166]~P3(x1661)+P26(x1661,x1662,x1661)+~P23(a2,x1662)+~P1(a2)
% 0.62/1.42  [167]~P5(x1672)+~P16(x1672,x1671)+P38(x1671,a4,x1672)+~P3(a4)
% 0.62/1.42  [168]~P3(x1681)+P19(x1681,x1681,x1681)+~P3(x1682)+~P23(x1682,a1)
% 0.62/1.42  [169]~P5(x1692)+~P10(x1691,x1691)+P19(x1691,x1692,x1692)+~P5(a3)
% 0.62/1.42  [179]~P29(a2,x1791,x1792)+P25(a5)+~P2(a5)+~P39(a2)
% 0.62/1.42  [191]~P2(x1911)+~P23(x1912,x1912)+P26(x1911,a1,x1912)+~P15(x1912,a1)
% 0.62/1.42  [202]P39(x2021)+~P10(x2021,x2022)+~P37(a1,x2022,a1)+~P1(a1)
% 0.62/1.42  [205]~P23(x2052,x2051)+~P11(x2052,x2052)+P19(x2051,x2051,a4)+~P15(a4,a4)
% 0.62/1.42  [206]~P23(x2061,x2062)+~P15(x2062,x2062)+P29(x2061,x2061,x2061)+~P11(x2062,x2062)
% 0.62/1.42  [276]~P45(x2761)+P8(x2761,x2761,x2761)+~P44(x2762)+~P38(a1,x2762,a1)
% 0.62/1.42  [292]P37(x2921,x2921,x2921)+~P26(x2922,a1,x2921)+~P1(a2)+~P23(a2,a1)
% 0.62/1.42  [321]~P36(x3211,x3211)+~P42(x3211,a5,x3212)+~P37(a3,a3,x3212)+P6(a5)
% 0.62/1.42  [360]P26(x3601,x3601,x3601)+~P26(x3602,x3601,x3602)+~P19(a4,x3601,x3602)+~P12(a2,x3602,a4)
% 0.62/1.42  [75]~P41(x751)+P36(x751,x751)+~P16(x753,x753)+~P45(x752)
% 0.62/1.42  [76]~P39(x761)+P35(x761,x761)+~P35(x762,x763)+~P13(x762)
% 0.62/1.42  [112]P24(x1121,x1121)+~P23(x1121,x1122)+~P21(x1123,x1123)+~P9(a1)
% 0.62/1.42  [115]~P14(x1153,x1153)+P14(x1151,x1151)+~P15(x1153,x1151)+~P25(x1152)
% 0.62/1.42  [177]~P2(x1771)+~P3(x1772)+P26(x1771,x1772,x1771)+~P23(x1773,x1771)
% 0.62/1.42  [193]~P5(x1931)+~P10(x1932,x1931)+P37(x1931,x1931,x1932)+~P23(x1933,x1933)
% 0.62/1.42  [207]~P28(x2073,x2071)+P32(x2071,x2071,x2071)+~P14(x2072,x2072)+~P36(x2072,x2073)
% 0.62/1.42  [220]~P44(x2201)+~P36(x2202,x2201)+P36(x2201,x2202)+~P26(x2203,x2201,x2202)
% 0.62/1.42  [285]~P3(x2851)+~P37(x2852,x2852,x2853)+P37(x2851,x2852,x2852)+~P4(x2853)
% 0.62/1.42  [287]~P18(x2872)+~P25(x2871)+P22(x2871,x2872,x2872)+~P22(x2873,x2871,x2873)
% 0.62/1.42  [302]~P15(x3023,x3021)+~P26(x3021,x3022,x3021)+P26(x3021,x3022,x3022)+~P3(x3023)
% 0.62/1.42  [307]~P23(x3071,x3071)+P30(x3071,x3071,x3071)+~P30(x3073,x3072,x3071)+~P39(x3072)
% 0.62/1.42  [309]~P41(x3093)+~P7(x3092,x3093)+~P42(x3093,x3091,x3091)+P42(x3091,x3092,x3093)
% 0.62/1.42  [312]P37(x3121,x3121,x3121)+~P23(x3122,x3123)+~P29(x3121,a2,a2)+~P10(a2,a2)
% 0.62/1.42  [317]~P14(x3172,x3171)+P31(x3171,x3171,x3171)+~P15(x3172,x3172)+~P31(x3173,x3173,x3172)
% 0.62/1.42  [318]~P21(x3183,x3182)+~P33(x3181,x3183,x3181)+P33(x3181,x3182,x3182)+~P16(x3181,x3183)
% 0.62/1.42  [320]~P45(x3201)+P24(x3201,x3201)+~P32(x3202,x3201,x3201)+~P32(a2,a2,x3203)
% 0.62/1.42  [325]~P19(x3253,x3252,x3252)+P16(x3251,x3251)+~P23(x3252,x3251)+~P12(x3252,x3251,x3253)
% 0.62/1.42  [343]~P8(x3431,x3432,x3432)+P8(x3431,x3431,x3431)+~P45(x3432)+~P30(x3432,x3433,a5)
% 0.62/1.42  [344]~P5(x3441)+P38(x3441,x3441,x3441)+~P38(x3442,x3442,x3443)+~P26(x3443,a1,x3442)
% 0.62/1.42  [349]~P10(x3491,x3492)+~P19(x3492,a4,x3492)+P19(x3491,a3,x3492)+~P12(a3,x3493,a3)
% 0.62/1.42  [352]~P23(x3521,x3522)+~P30(x3521,x3522,x3521)+P30(x3521,x3522,x3522)+~P26(x3523,x3522,x3523)
% 0.62/1.42  [354]~P29(x3543,x3542,x3541)+~P42(x3541,x3543,x3541)+P42(x3541,x3541,x3541)+~P16(x3542,x3543)
% 0.62/1.42  [355]~P8(x3553,x3552,x3552)+P32(x3551,x3551,x3551)+~P28(x3551,x3552)+~P29(x3552,x3553,x3551)
% 0.62/1.42  [361]~P29(x3611,x3611,x3613)+~P38(x3612,x3613,x3611)+P38(x3611,x3612,x3611)+~P26(x3612,x3611,x3613)
% 0.62/1.42  [88]~P27(x881)+P40(x881)+~P23(x882,x881)+~P36(x883,x884)
% 0.62/1.42  [217]~P12(x2172,x2171,x2174)+P15(x2171,x2172)+~P23(x2174,x2171)+~P2(x2173)
% 0.62/1.42  [218]~P7(x2183,x2182)+P7(x2181,x2182)+~P19(x2184,x2182,x2181)+~P5(x2183)
% 0.62/1.42  [219]P16(x2191,x2191)+~P12(x2194,x2192,x2191)+~P23(x2193,x2193)+~P45(x2192)
% 0.62/1.42  [282]P29(x2821,x2822,x2821)+~P29(x2822,x2824,x2821)+~P3(x2823)+~P1(a2)
% 0.62/1.42  [286]~P29(x2862,x2864,x2861)+P8(x2861,x2861,x2862)+~P18(x2863)+~P18(x2864)
% 0.62/1.42  [303]~P4(x3031)+P26(x3031,x3031,x3031)+~P12(x3034,x3033,x3034)+~P10(x3032,x3033)
% 0.62/1.42  [305]P29(x3051,x3051,x3051)+~P26(x3053,x3054,x3051)+~P11(x3053,x3053)+~P3(x3052)
% 0.62/1.42  [308]~P45(x3082)+P8(x3081,x3082,x3081)+~P30(x3084,x3082,x3083)+~P11(x3081,x3083)
% 0.62/1.42  [311]~P13(x3111)+P32(x3111,x3111,x3111)+~P11(x3111,x3112)+~P32(x3113,x3114,x3113)
% 0.62/1.42  [322]~P44(x3221)+~P38(x3223,x3221,x3223)+P48(x3221,x3222)+~P12(x3223,x3224,x3222)
% 0.62/1.42  [345]~P18(x3452)+P42(x3451,x3451,x3452)+~P42(x3452,x3453,x3453)+~P22(x3454,a2,x3451)
% 0.62/1.42  [353]~P29(x3531,x3533,x3534)+~P30(x3531,x3532,x3531)+P30(x3531,x3532,x3532)+~P15(x3533,x3534)
% 0.62/1.42  [304]P29(x3041,x3041,x3041)+~P19(x3045,x3043,x3041)+~P3(x3042)+~P10(x3043,x3044)
% 0.62/1.42  [306]P29(x3061,x3061,x3061)+~P26(x3063,x3061,x3065)+~P5(x3062)+~P10(x3063,x3064)
% 0.62/1.42  [316]P8(x3161,x3161,x3162)+~P10(x3163,x3162)+~P8(x3162,x3165,x3164)+~P7(x3161,x3164)
% 0.62/1.42  [358]P35(x3581,x3582)+~P38(x3583,x3582,x3581)+~P8(x3584,x3584,x3581)+~P22(x3583,x3585,x3583)
% 0.62/1.42  [301]~P15(a5,a4)+~P16(a5,a2)+P30(a3,a4,a2)+~P39(a5)+~P19(a1,a3,a4)
% 0.62/1.42  [351]P25(a3)+~P5(a4)+~P19(a2,a3,a5)+~P26(a5,a3,a5)+~P37(a4,a3,a1)
% 0.62/1.42  [259]~P2(x2591)+P19(a4,a3,a4)+~P2(a5)+~P4(a5)+~P12(a3,a5,a4)
% 0.62/1.42  [298]~P1(x2981)+~P11(a4,x2981)+~P26(a4,a1,x2981)+P29(a1,a1,x2981)+~P2(a1)
% 0.62/1.42  [313]~P26(a4,x3131,x3131)+~P23(a2,x3131)+P30(a2,a4,a3)+~P2(a5)+~P7(a4,a3)
% 0.62/1.42  [347]~P27(x3471)+~P38(x3471,a1,x3471)+P31(x3471,a1,a5)+~P14(a2,a5)+~P30(a1,a2,a4)
% 0.62/1.42  [348]~P22(a3,x3481,x3481)+~P38(x3481,a5,x3481)+P42(a3,a3,a5)+~P18(a2)+~P7(a3,a3)
% 0.62/1.42  [192]~P23(x1921,x1922)+P19(x1921,x1922,a4)+~P10(x1922,a1)+~P1(a1)+~P2(a4)
% 0.62/1.42  [200]~P5(x2002)+P30(x2001,x2001,x2001)+~P4(x2002)+~P7(x2001,a3)+~P16(a3,x2002)
% 0.62/1.42  [221]~P5(x2211)+P36(x2211,x2211)+~P36(x2212,x2211)+~P12(x2212,a1,x2212)+~P41(a1)
% 0.62/1.42  [73]~P6(x731)+~P46(x732)+P46(x731)+~P48(x731,x733)+~P17(x732)
% 0.62/1.42  [314]~P1(x3141)+~P5(x3141)+~P12(x3143,x3143,x3143)+P26(x3141,x3141,x3141)+~P23(x3142,x3143)
% 0.62/1.42  [323]~P22(x3231,x3233,x3231)+P22(x3231,x3231,x3231)+~P7(x3232,x3233)+~P11(x3233,a3)+~P16(a3,a3)
% 0.62/1.42  [346]P30(x3461,x3461,x3462)+~P30(x3461,x3463,x3461)+~P37(a4,x3461,x3463)+~P1(a5)+~P45(a4)
% 0.62/1.42  [183]~P41(x1831)+P22(x1831,x1831,x1831)+~P1(x1832)+~P10(x1834,x1833)+~P44(x1833)
% 0.62/1.42  [204]~P3(x2041)+~P10(x2042,x2042)+P37(x2041,x2042,x2041)+~P23(x2044,x2041)+~P2(x2043)
% 0.62/1.42  [315]~P44(x3151)+~P8(x3153,x3154,x3153)+P8(x3151,x3151,x3151)+~P18(x3152)+~P15(x3153,x3154)
% 0.62/1.42  [350]~P4(x3502)+~P39(x3502)+~P38(x3502,x3502,x3502)+P38(x3501,x3502,x3501)+~P12(x3503,x3504,x3501)
% 0.62/1.42  [356]~P12(x3563,x3563,x3562)+~P12(x3561,x3564,x3564)+P22(x3561,x3562,x3561)+~P16(x3564,x3561)+~P44(x3563)
% 0.62/1.42  [362]~P26(x3622,x3624,x3624)+~P37(x3623,x3622,x3624)+P37(x3621,x3621,x3621)+~P19(x3621,x3624,x3622)+~P23(x3622,x3623)
% 0.62/1.42  [299]~P32(x2995,x2995,x2992)+P24(x2991,x2992)+~P28(x2991,x2993)+~P35(x2994,x2993)+~P24(x2995,x2992)
% 0.62/1.42  %EqnAxiom
% 0.62/1.42  
% 0.62/1.42  %-------------------------------------------
% 0.62/1.42  cnf(364,plain,
% 0.62/1.42     (P12(x3641,a1,x3642)),
% 0.62/1.42     inference(rename_variables,[],[38])).
% 0.62/1.42  cnf(368,plain,
% 0.62/1.42     (P12(x3681,a1,x3682)),
% 0.62/1.42     inference(rename_variables,[],[38])).
% 0.62/1.42  cnf(369,plain,
% 0.62/1.42     (P12(x3691,a1,x3692)),
% 0.62/1.42     inference(rename_variables,[],[38])).
% 0.62/1.42  cnf(372,plain,
% 0.62/1.42     (P12(x3721,a1,x3722)),
% 0.62/1.42     inference(rename_variables,[],[38])).
% 0.62/1.42  cnf(375,plain,
% 0.62/1.42     (P23(a2,x3751)),
% 0.62/1.42     inference(rename_variables,[],[28])).
% 0.62/1.42  cnf(379,plain,
% 0.62/1.42     (P37(a1,a1,a2)),
% 0.62/1.42     inference(scs_inference,[],[38,364,369,28,375,1,5,7,16,232,225,328,256,186,152,150])).
% 0.62/1.42  cnf(380,plain,
% 0.62/1.42     (P23(a2,x3801)),
% 0.62/1.42     inference(rename_variables,[],[28])).
% 0.62/1.42  cnf(385,plain,
% 0.62/1.42     (P23(a2,x3851)),
% 0.62/1.42     inference(rename_variables,[],[28])).
% 0.62/1.42  cnf(387,plain,
% 0.62/1.42     (P39(x3871)),
% 0.62/1.42     inference(scs_inference,[],[38,364,369,27,28,375,380,1,2,5,7,16,232,225,328,256,186,152,150,109,292,202])).
% 0.62/1.42  cnf(389,plain,
% 0.62/1.42     (P26(a3,x3891,a3)),
% 0.62/1.42     inference(scs_inference,[],[38,364,369,27,28,375,380,385,1,2,5,7,16,232,225,328,256,186,152,150,109,292,202,166])).
% 0.62/1.42  cnf(391,plain,
% 0.62/1.42     (P42(a1,a1,a1)),
% 0.62/1.42     inference(scs_inference,[],[38,364,369,27,28,375,380,385,1,2,5,7,16,232,225,328,256,186,152,150,109,292,202,166,248])).
% 0.62/1.42  cnf(393,plain,
% 0.62/1.42     (P22(a1,a1,a1)),
% 0.62/1.42     inference(scs_inference,[],[38,364,369,27,28,375,380,385,1,2,5,7,16,232,225,328,256,186,152,150,109,292,202,166,248,247])).
% 0.62/1.42  cnf(395,plain,
% 0.62/1.42     (P8(a1,a1,a1)),
% 0.62/1.42     inference(scs_inference,[],[38,364,369,27,28,375,380,385,1,2,5,7,16,232,225,328,256,186,152,150,109,292,202,166,248,247,246])).
% 0.62/1.42  cnf(401,plain,
% 0.62/1.42     (P37(x4011,x4011,x4011)),
% 0.62/1.42     inference(scs_inference,[],[38,364,369,372,27,28,375,380,385,1,2,5,7,16,232,225,328,256,186,152,150,109,292,202,166,248,247,246,244,243,239])).
% 0.62/1.42  cnf(403,plain,
% 0.62/1.42     (P19(x4031,x4031,x4031)),
% 0.62/1.42     inference(scs_inference,[],[38,364,369,372,27,28,375,380,385,1,2,5,7,16,232,225,328,256,186,152,150,109,292,202,166,248,247,246,244,243,239,236])).
% 0.62/1.42  cnf(405,plain,
% 0.62/1.42     (P19(x4051,a1,x4051)),
% 0.62/1.42     inference(scs_inference,[],[38,364,369,372,27,28,375,380,385,1,2,5,7,16,232,225,328,256,186,152,150,109,292,202,166,248,247,246,244,243,239,236,234])).
% 0.62/1.42  cnf(406,plain,
% 0.62/1.42     (P12(x4061,a1,x4062)),
% 0.62/1.42     inference(rename_variables,[],[38])).
% 0.62/1.42  cnf(411,plain,
% 0.62/1.42     (P12(x4111,a1,x4112)),
% 0.62/1.42     inference(rename_variables,[],[38])).
% 0.62/1.42  cnf(413,plain,
% 0.62/1.42     (P7(a5,a5)),
% 0.62/1.42     inference(scs_inference,[],[38,364,369,372,406,27,28,375,380,385,1,2,5,7,16,232,225,328,256,186,152,150,109,292,202,166,248,247,246,244,243,239,236,234,227,226,190])).
% 0.62/1.42  cnf(415,plain,
% 0.62/1.42     (P27(a1)),
% 0.62/1.42     inference(scs_inference,[],[38,364,369,372,406,27,28,375,380,385,1,2,5,7,16,232,225,328,256,186,152,150,109,292,202,166,248,247,246,244,243,239,236,234,227,226,190,173])).
% 0.62/1.42  cnf(417,plain,
% 0.62/1.42     (P25(a3)),
% 0.62/1.42     inference(scs_inference,[],[38,364,369,372,406,27,28,375,380,385,1,2,5,7,16,232,225,328,256,186,152,150,109,292,202,166,248,247,246,244,243,239,236,234,227,226,190,173,172])).
% 0.62/1.42  cnf(423,plain,
% 0.62/1.42     (P29(x4231,x4231,x4231)),
% 0.62/1.42     inference(scs_inference,[],[38,364,369,372,406,27,28,375,380,385,1,2,5,7,16,232,225,328,256,186,152,150,109,292,202,166,248,247,246,244,243,239,236,234,227,226,190,173,172,145,140,139])).
% 0.62/1.42  cnf(425,plain,
% 0.62/1.42     (P29(x4251,x4251,a2)),
% 0.62/1.42     inference(scs_inference,[],[38,364,369,372,406,27,28,375,380,385,1,2,5,7,16,232,225,328,256,186,152,150,109,292,202,166,248,247,246,244,243,239,236,234,227,226,190,173,172,145,140,139,136])).
% 0.62/1.42  cnf(429,plain,
% 0.62/1.42     (P22(a3,a3,a3)),
% 0.62/1.42     inference(scs_inference,[],[38,364,369,372,406,27,28,375,380,385,1,2,5,7,16,232,225,328,256,186,152,150,109,292,202,166,248,247,246,244,243,239,236,234,227,226,190,173,172,145,140,139,136,106,105])).
% 0.62/1.42  cnf(431,plain,
% 0.62/1.42     (P8(a3,a3,a3)),
% 0.62/1.42     inference(scs_inference,[],[38,364,369,372,406,27,28,375,380,385,1,2,5,7,16,232,225,328,256,186,152,150,109,292,202,166,248,247,246,244,243,239,236,234,227,226,190,173,172,145,140,139,136,106,105,104])).
% 0.62/1.42  cnf(436,plain,
% 0.62/1.42     (P15(a5,a5)),
% 0.62/1.42     inference(scs_inference,[],[38,364,369,372,406,27,28,375,380,385,1,2,3,5,6,7,16,232,225,328,256,186,152,150,109,292,202,166,248,247,246,244,243,239,236,234,227,226,190,173,172,145,140,139,136,106,105,104,97,82,65])).
% 0.62/1.42  cnf(438,plain,
% 0.62/1.42     (P45(a2)),
% 0.62/1.42     inference(scs_inference,[],[38,364,369,372,406,27,28,375,380,385,1,2,3,5,6,7,16,232,225,328,256,186,152,150,109,292,202,166,248,247,246,244,243,239,236,234,227,226,190,173,172,145,140,139,136,106,105,104,97,82,65,54])).
% 0.62/1.42  cnf(440,plain,
% 0.62/1.42     (P5(a5)),
% 0.62/1.42     inference(scs_inference,[],[38,364,369,372,406,27,28,375,380,385,1,2,3,5,6,7,16,232,225,328,256,186,152,150,109,292,202,166,248,247,246,244,243,239,236,234,227,226,190,173,172,145,140,139,136,106,105,104,97,82,65,54,53])).
% 0.62/1.42  cnf(444,plain,
% 0.62/1.42     (P31(a1,a1,a1)),
% 0.62/1.42     inference(scs_inference,[],[38,364,369,372,406,27,28,375,380,385,1,2,3,5,6,7,16,232,225,328,256,186,152,150,109,292,202,166,248,247,246,244,243,239,236,234,227,226,190,173,172,145,140,139,136,106,105,104,97,82,65,54,53,341,339])).
% 0.62/1.42  cnf(446,plain,
% 0.62/1.42     (P30(x4461,x4461,x4461)),
% 0.62/1.42     inference(scs_inference,[],[38,364,369,372,406,27,28,375,380,385,1,2,3,5,6,7,16,232,225,328,256,186,152,150,109,292,202,166,248,247,246,244,243,239,236,234,227,226,190,173,172,145,140,139,136,106,105,104,97,82,65,54,53,341,339,337])).
% 0.62/1.42  cnf(448,plain,
% 0.62/1.42     (P29(a3,x4481,a3)),
% 0.62/1.42     inference(scs_inference,[],[38,364,369,372,406,27,28,375,380,385,37,1,2,3,5,6,7,16,232,225,328,256,186,152,150,109,292,202,166,248,247,246,244,243,239,236,234,227,226,190,173,172,145,140,139,136,106,105,104,97,82,65,54,53,341,339,337,334])).
% 0.62/1.42  cnf(450,plain,
% 0.62/1.42     (P26(x4501,x4501,x4502)),
% 0.62/1.42     inference(scs_inference,[],[38,364,369,372,406,411,368,27,28,375,380,385,37,1,2,3,5,6,7,16,232,225,328,256,186,152,150,109,292,202,166,248,247,246,244,243,239,236,234,227,226,190,173,172,145,140,139,136,106,105,104,97,82,65,54,53,341,339,337,334,332])).
% 0.62/1.42  cnf(454,plain,
% 0.62/1.42     (P38(a1,a1,a1)),
% 0.62/1.42     inference(scs_inference,[],[38,364,369,372,406,411,368,27,28,375,380,385,37,1,2,3,5,6,7,16,232,225,328,256,186,152,150,109,292,202,166,248,247,246,244,243,239,236,234,227,226,190,173,172,145,140,139,136,106,105,104,97,82,65,54,53,341,339,337,334,332,319,295])).
% 0.62/1.42  cnf(456,plain,
% 0.62/1.42     (P31(a1,a5,a5)),
% 0.62/1.42     inference(scs_inference,[],[38,364,369,372,406,411,368,27,28,375,380,385,37,1,2,3,5,6,7,16,232,225,328,256,186,152,150,109,292,202,166,248,247,246,244,243,239,236,234,227,226,190,173,172,145,140,139,136,106,105,104,97,82,65,54,53,341,339,337,334,332,319,295,291])).
% 0.62/1.42  cnf(531,plain,
% 0.62/1.42     (~P45(a3)+P44(a1)),
% 0.62/1.42     inference(scs_inference,[],[1,41])).
% 0.62/1.42  cnf(532,plain,
% 0.62/1.42     (~P45(a1)+P44(a1)),
% 0.62/1.42     inference(scs_inference,[],[387,42])).
% 0.62/1.42  cnf(534,plain,
% 0.62/1.42     (~P10(x5341,x5342)+P45(x5341)),
% 0.62/1.42     inference(scs_inference,[],[438,62])).
% 0.62/1.42  cnf(535,plain,
% 0.62/1.42     (P18(x5351)+~P1(x5351)),
% 0.62/1.42     inference(scs_inference,[],[436,63])).
% 0.62/1.42  cnf(537,plain,
% 0.62/1.42     (P36(x5371,x5371)+~P41(x5371)+~P16(x5372,x5372)),
% 0.62/1.42     inference(scs_inference,[],[438,75])).
% 0.62/1.42  cnf(542,plain,
% 0.62/1.42     (P26(x5421,x5422,x5421)+~P3(x5421)+~P23(a2,x5422)),
% 0.62/1.42     inference(scs_inference,[],[2,166])).
% 0.62/1.42  cnf(543,plain,
% 0.62/1.42     (~P5(x5431)+~P16(x5431,x5432)+P38(x5432,a4,x5431)),
% 0.62/1.42     inference(scs_inference,[],[6,167])).
% 0.62/1.42  cnf(544,plain,
% 0.62/1.42     (P44(x5441)+~P38(a2,x5441,a2)),
% 0.62/1.42     inference(scs_inference,[],[438,175])).
% 0.62/1.42  cnf(545,plain,
% 0.62/1.42     (P25(a5)),
% 0.62/1.42     inference(scs_inference,[],[3,387,423,179])).
% 0.62/1.42  cnf(548,plain,
% 0.62/1.42     (P37(x5481,x5482,x5481)+~P3(x5481)+~P10(x5482,x5482)+~P23(x5483,x5481)),
% 0.62/1.42     inference(scs_inference,[],[4,204])).
% 0.62/1.42  cnf(549,plain,
% 0.62/1.42     (~P23(x5491,x5492)+P15(x5492,x5493)+~P12(x5493,x5492,x5491)),
% 0.62/1.42     inference(scs_inference,[],[4,217])).
% 0.62/1.42  cnf(551,plain,
% 0.62/1.42     (P30(a5,x5511,x5512)+~P29(x5511,x5512,a5)),
% 0.62/1.42     inference(scs_inference,[],[3,253])).
% 0.62/1.42  cnf(554,plain,
% 0.62/1.42     (P19(x5541,x5542,x5542)+~P12(x5542,x5542,x5541)),
% 0.62/1.42     inference(scs_inference,[],[6,262])).
% 0.62/1.42  cnf(555,plain,
% 0.62/1.42     (P37(x5551,x5551,x5552)+~P19(x5551,x5552,x5552)),
% 0.62/1.42     inference(scs_inference,[],[4,265])).
% 0.62/1.42  cnf(556,plain,
% 0.62/1.42     (P29(x5561,x5562,x5561)+~P29(x5562,x5563,x5561)),
% 0.62/1.42     inference(scs_inference,[],[6,2,282])).
% 0.62/1.42  cnf(559,plain,
% 0.62/1.42     (~P26(a4,x5591,x5591)+~P23(a2,x5591)+~P7(a4,a3)+P30(a2,a4,a3)),
% 0.62/1.42     inference(scs_inference,[],[3,313])).
% 0.62/1.42  cnf(560,plain,
% 0.62/1.42     (~P10(x5601,x5602)+~P19(x5602,a4,x5602)+P19(x5601,a3,x5602)),
% 0.62/1.42     inference(scs_inference,[],[38,349])).
% 0.62/1.42  cnf(561,plain,
% 0.62/1.42     (P19(a5,a2,a2)),
% 0.62/1.42     inference(scs_inference,[],[35,554])).
% 0.62/1.42  cnf(563,plain,
% 0.62/1.42     (P18(a1)),
% 0.62/1.42     inference(scs_inference,[],[35,1,554,535])).
% 0.62/1.42  cnf(565,plain,
% 0.62/1.42     (P30(a1,x5651,a1)),
% 0.62/1.42     inference(scs_inference,[],[35,1,405,554,535,241])).
% 0.62/1.42  cnf(569,plain,
% 0.62/1.42     (P19(a1,a3,a4)),
% 0.62/1.42     inference(scs_inference,[],[11,35,1,403,405,436,554,535,241,144,560])).
% 0.62/1.42  cnf(570,plain,
% 0.62/1.42     (P19(x5701,x5701,x5701)),
% 0.62/1.42     inference(rename_variables,[],[403])).
% 0.62/1.42  cnf(572,plain,
% 0.62/1.42     (P15(a1,x5721)),
% 0.62/1.42     inference(scs_inference,[],[11,35,38,28,1,403,405,436,554,535,241,144,560,549])).
% 0.62/1.42  cnf(573,plain,
% 0.62/1.42     (P12(x5731,a1,x5732)),
% 0.62/1.42     inference(rename_variables,[],[38])).
% 0.62/1.42  cnf(574,plain,
% 0.62/1.42     (P23(a2,x5741)),
% 0.62/1.42     inference(rename_variables,[],[28])).
% 0.62/1.42  cnf(576,plain,
% 0.62/1.42     (P26(a4,x5761,a4)),
% 0.62/1.42     inference(scs_inference,[],[11,35,38,28,574,6,1,403,405,436,554,535,241,144,560,549,542])).
% 0.62/1.42  cnf(578,plain,
% 0.62/1.42     (P19(a2,x5781,a2)),
% 0.62/1.42     inference(scs_inference,[],[11,35,38,28,574,6,1,2,403,405,436,554,535,241,144,560,549,542,155])).
% 0.62/1.42  cnf(580,plain,
% 0.62/1.42     (P41(a4)),
% 0.62/1.42     inference(scs_inference,[],[11,35,38,28,574,6,1,2,403,387,405,436,554,535,241,144,560,549,542,155,44])).
% 0.62/1.42  cnf(581,plain,
% 0.62/1.42     (P39(x5811)),
% 0.62/1.42     inference(rename_variables,[],[387])).
% 0.62/1.42  cnf(584,plain,
% 0.62/1.42     (P23(a2,x5841)),
% 0.62/1.42     inference(rename_variables,[],[28])).
% 0.62/1.42  cnf(586,plain,
% 0.62/1.42     (P16(a1,a1)),
% 0.62/1.42     inference(scs_inference,[],[11,15,35,38,573,28,574,584,6,1,2,403,570,387,405,436,554,535,241,144,560,549,542,155,44,548,325])).
% 0.62/1.42  cnf(588,plain,
% 0.62/1.42     (P12(x5881,a1,x5882)),
% 0.62/1.42     inference(rename_variables,[],[38])).
% 0.62/1.42  cnf(589,plain,
% 0.62/1.42     (P23(a2,x5891)),
% 0.62/1.42     inference(rename_variables,[],[28])).
% 0.62/1.42  cnf(597,plain,
% 0.62/1.42     (P16(a3,a3)),
% 0.62/1.42     inference(scs_inference,[],[11,15,17,36,35,38,573,28,574,584,589,6,1,2,403,570,446,387,405,425,417,429,436,438,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219])).
% 0.62/1.42  cnf(598,plain,
% 0.62/1.42     (P23(a2,x5981)),
% 0.62/1.42     inference(rename_variables,[],[28])).
% 0.62/1.42  cnf(606,plain,
% 0.62/1.42     (P38(x6061,x6061,x6061)),
% 0.62/1.42     inference(scs_inference,[],[11,15,17,36,35,38,573,28,574,584,589,6,1,2,403,570,446,450,387,444,405,425,417,429,436,438,440,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219,245,250,339,269])).
% 0.62/1.42  cnf(608,plain,
% 0.62/1.42     (P37(x6081,a2,x6081)),
% 0.62/1.42     inference(scs_inference,[],[11,15,17,36,35,38,573,28,574,584,589,598,6,1,2,403,570,446,450,387,444,405,425,417,429,436,438,440,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219,245,250,339,269,188])).
% 0.62/1.42  cnf(610,plain,
% 0.62/1.42     (P19(a4,a2,a4)),
% 0.62/1.42     inference(scs_inference,[],[11,15,17,36,35,38,573,28,574,584,589,598,6,8,1,2,403,570,446,450,387,444,405,425,417,429,436,438,440,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219,245,250,339,269,188,122])).
% 0.62/1.42  cnf(612,plain,
% 0.62/1.42     (P32(a3,a3,a3)),
% 0.62/1.42     inference(scs_inference,[],[11,15,17,36,35,38,573,28,574,584,589,598,6,8,1,2,403,570,446,450,387,444,431,405,425,417,429,436,438,440,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219,245,250,339,269,188,122,249])).
% 0.62/1.42  cnf(616,plain,
% 0.62/1.42     (P38(a2,a5,a5)),
% 0.62/1.42     inference(scs_inference,[],[11,15,17,36,35,38,573,28,574,584,589,598,6,8,1,2,7,403,570,423,446,450,387,444,431,405,425,417,429,436,438,440,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219,245,250,339,269,188,122,249,319,268])).
% 0.62/1.42  cnf(618,plain,
% 0.62/1.42     (P36(a5,a5)),
% 0.62/1.43     inference(scs_inference,[],[11,15,17,36,35,38,573,28,574,584,589,598,6,8,19,1,2,7,403,570,423,446,450,387,444,431,405,425,417,429,436,438,440,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219,245,250,339,269,188,122,249,319,268,209])).
% 0.62/1.43  cnf(620,plain,
% 0.62/1.43     (P47(a1)),
% 0.62/1.43     inference(scs_inference,[],[11,15,17,36,35,38,573,28,574,584,589,598,6,8,19,1,2,7,403,570,423,446,450,387,444,431,405,425,417,429,436,438,440,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219,245,250,339,269,188,122,249,319,268,209,201])).
% 0.62/1.43  cnf(624,plain,
% 0.62/1.43     (P35(a1,a1)),
% 0.62/1.43     inference(scs_inference,[],[11,15,17,36,35,38,573,28,574,584,589,598,6,8,19,1,2,7,403,570,423,446,450,387,395,444,431,405,425,413,393,417,429,436,438,440,454,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219,245,250,339,269,188,122,249,319,268,209,201,189,358])).
% 0.62/1.43  cnf(626,plain,
% 0.62/1.43     (P37(a5,a5,a2)),
% 0.62/1.43     inference(scs_inference,[],[11,15,17,36,35,38,573,28,574,584,589,598,14,6,8,19,1,2,7,403,570,423,446,450,387,395,444,431,405,425,413,393,417,429,436,438,440,454,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219,245,250,339,269,188,122,249,319,268,209,201,189,358,193])).
% 0.62/1.43  cnf(632,plain,
% 0.62/1.43     (P29(a2,a1,a2)),
% 0.62/1.43     inference(scs_inference,[],[11,15,17,36,35,38,573,28,574,584,589,598,14,6,4,8,19,1,2,7,403,570,423,446,450,387,395,444,431,405,425,413,393,417,429,436,438,440,454,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219,245,250,339,269,188,122,249,319,268,209,201,189,358,193,177,157,556])).
% 0.62/1.43  cnf(634,plain,
% 0.62/1.43     (P45(a1)),
% 0.62/1.43     inference(scs_inference,[],[11,15,17,36,35,38,573,28,574,584,589,598,14,6,4,8,19,1,2,7,403,570,423,446,450,387,395,444,431,405,425,413,393,417,429,436,438,440,454,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219,245,250,339,269,188,122,249,319,268,209,201,189,358,193,177,157,556,534])).
% 0.62/1.43  cnf(637,plain,
% 0.62/1.43     (~P16(a5,x6371)+P38(x6371,a4,a5)),
% 0.62/1.43     inference(scs_inference,[],[11,15,17,36,35,38,573,28,574,584,589,598,14,6,4,8,19,1,2,7,403,570,423,446,450,387,395,444,431,405,425,413,393,417,429,436,438,440,454,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219,245,250,339,269,188,122,249,319,268,209,201,189,358,193,177,157,556,534,87,543])).
% 0.62/1.43  cnf(639,plain,
% 0.62/1.43     (P22(a4,a4,a4)),
% 0.62/1.43     inference(scs_inference,[],[11,15,17,36,35,38,573,28,574,584,589,598,14,6,4,8,19,1,2,7,403,570,423,446,450,387,395,444,431,405,425,413,393,417,429,436,438,440,454,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219,245,250,339,269,188,122,249,319,268,209,201,189,358,193,177,157,556,534,87,543,271])).
% 0.62/1.43  cnf(641,plain,
% 0.62/1.43     (P8(x6411,x6411,x6411)),
% 0.62/1.43     inference(scs_inference,[],[11,15,17,36,35,38,573,28,574,584,589,598,14,6,4,8,19,1,2,7,403,570,423,446,450,387,581,395,444,431,405,425,413,393,417,429,436,438,440,454,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219,245,250,339,269,188,122,249,319,268,209,201,189,358,193,177,157,556,534,87,543,271,270])).
% 0.62/1.43  cnf(643,plain,
% 0.62/1.43     (P9(a1)),
% 0.62/1.43     inference(scs_inference,[],[11,15,17,36,35,38,573,28,574,584,589,598,14,6,4,8,19,1,2,7,403,570,423,446,450,387,581,395,444,431,405,425,413,391,393,417,429,436,438,440,454,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219,245,250,339,269,188,122,249,319,268,209,201,189,358,193,177,157,556,534,87,543,271,270,181])).
% 0.62/1.43  cnf(645,plain,
% 0.62/1.43     (P38(a4,a2,a4)),
% 0.62/1.43     inference(scs_inference,[],[11,15,17,29,36,35,38,573,28,574,584,589,598,14,6,4,8,19,1,2,7,403,570,423,446,450,387,581,395,444,431,405,425,413,391,393,417,429,436,438,440,454,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219,245,250,339,269,188,122,249,319,268,209,201,189,358,193,177,157,556,534,87,543,271,270,181,350])).
% 0.62/1.43  cnf(647,plain,
% 0.62/1.43     (P31(a5,a5,a5)),
% 0.62/1.43     inference(scs_inference,[],[11,15,17,29,36,35,38,573,28,574,584,589,598,14,6,4,8,19,1,2,7,403,570,423,446,450,387,581,395,444,431,405,425,413,391,393,417,429,436,438,440,454,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219,245,250,339,269,188,122,249,319,268,209,201,189,358,193,177,157,556,534,87,543,271,270,181,350,273])).
% 0.62/1.43  cnf(651,plain,
% 0.62/1.43     (P29(a1,x6511,a1)),
% 0.62/1.43     inference(scs_inference,[],[11,15,17,29,36,35,38,573,588,28,574,584,589,598,14,6,4,8,19,1,2,7,403,570,423,446,450,387,581,395,444,431,405,425,413,379,391,393,417,429,436,438,440,454,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219,245,250,339,269,188,122,249,319,268,209,201,189,358,193,177,157,556,534,87,543,271,270,181,350,273,285,334])).
% 0.62/1.43  cnf(653,plain,
% 0.62/1.43     (P29(a5,a2,a2)),
% 0.62/1.43     inference(scs_inference,[],[11,15,17,29,36,35,38,573,588,28,574,584,589,598,14,6,4,8,19,1,2,7,403,570,423,446,450,387,581,395,444,431,405,425,413,379,391,393,417,429,436,438,440,454,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219,245,250,339,269,188,122,249,319,268,209,201,189,358,193,177,157,556,534,87,543,271,270,181,350,273,285,334,255])).
% 0.62/1.43  cnf(655,plain,
% 0.62/1.43     (P29(a2,a2,a5)),
% 0.62/1.43     inference(scs_inference,[],[11,15,17,29,36,35,38,573,588,28,574,584,589,598,14,6,4,8,19,1,2,7,403,570,423,446,450,387,581,395,444,431,405,425,413,379,391,393,417,429,436,438,440,454,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219,245,250,339,269,188,122,249,319,268,209,201,189,358,193,177,157,556,534,87,543,271,270,181,350,273,285,334,255,152])).
% 0.62/1.43  cnf(657,plain,
% 0.62/1.43     (P30(a5,a2,a2)),
% 0.62/1.43     inference(scs_inference,[],[11,15,17,29,36,35,38,573,588,28,574,584,589,598,14,6,4,8,19,1,2,7,403,570,423,446,450,387,581,395,444,431,405,425,413,379,391,393,417,429,436,438,440,454,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219,245,250,339,269,188,122,249,319,268,209,201,189,358,193,177,157,556,534,87,543,271,270,181,350,273,285,334,255,152,551])).
% 0.62/1.43  cnf(659,plain,
% 0.62/1.43     (P44(a2)),
% 0.62/1.43     inference(scs_inference,[],[11,15,17,29,36,35,38,573,588,28,574,584,589,598,14,6,4,8,19,1,2,7,403,570,423,446,450,387,581,395,444,431,405,425,413,379,391,393,417,429,436,438,440,454,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219,245,250,339,269,188,122,249,319,268,209,201,189,358,193,177,157,556,534,87,543,271,270,181,350,273,285,334,255,152,551,544])).
% 0.62/1.43  cnf(661,plain,
% 0.62/1.43     (P42(a3,a3,a3)),
% 0.62/1.43     inference(scs_inference,[],[11,15,17,29,36,35,38,573,588,28,574,584,589,598,14,6,4,8,19,1,2,7,403,570,423,446,450,387,581,395,444,431,405,425,413,379,391,393,417,429,436,438,440,454,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219,245,250,339,269,188,122,249,319,268,209,201,189,358,193,177,157,556,534,87,543,271,270,181,350,273,285,334,255,152,551,544,147])).
% 0.62/1.43  cnf(663,plain,
% 0.62/1.43     (P42(a2,a2,a2)),
% 0.62/1.43     inference(scs_inference,[],[11,15,17,29,36,35,38,573,588,28,574,584,589,598,14,6,4,8,19,1,2,7,403,570,423,446,450,387,581,395,444,431,405,425,413,379,391,393,417,429,436,438,440,454,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219,245,250,339,269,188,122,249,319,268,209,201,189,358,193,177,157,556,534,87,543,271,270,181,350,273,285,334,255,152,551,544,147,108])).
% 0.62/1.43  cnf(665,plain,
% 0.62/1.43     (P42(a4,a4,a4)),
% 0.62/1.43     inference(scs_inference,[],[11,15,17,29,36,35,38,573,588,28,574,584,589,598,14,6,4,8,19,1,2,7,403,570,423,446,450,387,581,395,444,431,405,425,413,379,391,393,417,429,436,438,440,454,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219,245,250,339,269,188,122,249,319,268,209,201,189,358,193,177,157,556,534,87,543,271,270,181,350,273,285,334,255,152,551,544,147,108,107])).
% 0.62/1.43  cnf(667,plain,
% 0.62/1.43     (P24(a1,a1)),
% 0.62/1.43     inference(scs_inference,[],[11,15,17,29,36,35,38,573,588,28,574,584,589,598,14,6,4,8,19,1,2,7,403,570,423,446,450,387,581,395,444,431,405,425,413,379,391,393,417,429,436,438,440,454,554,535,241,144,560,549,542,155,44,548,325,308,287,286,219,245,250,339,269,188,122,249,319,268,209,201,189,358,193,177,157,556,534,87,543,271,270,181,350,273,285,334,255,152,551,544,147,108,107,67])).
% 0.62/1.43  cnf(695,plain,
% 0.62/1.43     (P14(x6951,x6951)+~P15(x6951,x6951)),
% 0.62/1.43     inference(scs_inference,[],[659,72])).
% 0.62/1.43  cnf(696,plain,
% 0.62/1.43     (P40(x6961)+~P23(x6962,x6961)+~P27(x6961)),
% 0.62/1.43     inference(scs_inference,[],[618,88])).
% 0.62/1.43  cnf(697,plain,
% 0.62/1.43     (P24(x6971,x6971)+~P23(x6971,x6972)+~P21(x6973,x6973)),
% 0.62/1.43     inference(scs_inference,[],[643,112])).
% 0.62/1.43  cnf(698,plain,
% 0.62/1.43     (P32(x6981,x6981,x6981)+~P27(x6981)),
% 0.62/1.43     inference(scs_inference,[],[618,161])).
% 0.62/1.43  cnf(699,plain,
% 0.62/1.43     (~P42(x6991,x6992,x6992)+P9(x6992)),
% 0.62/1.43     inference(scs_inference,[],[620,181])).
% 0.62/1.43  cnf(700,plain,
% 0.62/1.43     (P22(x7001,a5,a5)+~P30(x7001,a5,a5)),
% 0.62/1.43     inference(scs_inference,[],[545,228])).
% 0.62/1.43  cnf(702,plain,
% 0.62/1.43     (~P18(x7021)+P8(x7022,x7022,x7023)+~P29(x7023,x7021,x7022)),
% 0.62/1.43     inference(scs_inference,[],[563,286])).
% 0.62/1.43  cnf(704,plain,
% 0.62/1.43     (P18(a2)),
% 0.62/1.43     inference(scs_inference,[],[20,40,53])).
% 0.62/1.43  cnf(705,plain,
% 0.62/1.43     (P14(x7051,x7051)+~P25(x7051)),
% 0.62/1.43     inference(scs_inference,[],[704,52])).
% 0.62/1.43  cnf(706,plain,
% 0.62/1.43     (~P38(x7061,a5,x7061)+~P22(a3,x7061,x7061)+~P7(a3,a3)+P42(a3,a3,a5)),
% 0.62/1.43     inference(scs_inference,[],[704,348])).
% 0.62/1.43  cnf(707,plain,
% 0.62/1.43     (P44(a1)),
% 0.62/1.43     inference(scs_inference,[],[634,532])).
% 0.62/1.43  cnf(711,plain,
% 0.62/1.43     (P22(a5,a5,a5)),
% 0.62/1.43     inference(scs_inference,[],[545,446,705,700])).
% 0.62/1.43  cnf(717,plain,
% 0.62/1.43     (P8(a2,a2,a5)),
% 0.62/1.43     inference(scs_inference,[],[572,545,653,704,446,705,700,695,702])).
% 0.62/1.43  cnf(719,plain,
% 0.62/1.43     (P40(a1)),
% 0.62/1.43     inference(scs_inference,[],[28,572,545,653,704,415,446,705,700,695,702,696])).
% 0.62/1.43  cnf(722,plain,
% 0.62/1.43     (P12(a3,x7221,a3)),
% 0.62/1.43     inference(rename_variables,[],[37])).
% 0.62/1.43  cnf(726,plain,
% 0.62/1.43     (P36(a4,a4)),
% 0.62/1.43     inference(scs_inference,[],[13,37,35,28,572,545,580,586,597,653,659,704,415,413,446,705,700,695,702,696,356,316,537])).
% 0.62/1.43  cnf(728,plain,
% 0.62/1.43     (P32(a2,a2,a2)),
% 0.62/1.43     inference(scs_inference,[],[13,37,35,28,4,572,545,580,586,597,653,659,663,704,415,413,446,705,700,695,702,696,356,316,537,275])).
% 0.62/1.43  cnf(730,plain,
% 0.62/1.43     (P33(a1,a1,a1)),
% 0.62/1.43     inference(scs_inference,[],[13,37,35,28,4,572,545,580,586,597,620,653,659,663,704,415,413,446,705,700,695,702,696,356,316,537,275,163])).
% 0.62/1.43  cnf(734,plain,
% 0.62/1.43     (P8(a4,a1,a4)),
% 0.62/1.43     inference(scs_inference,[],[13,23,37,35,28,4,572,565,545,580,586,597,620,624,634,653,659,663,704,415,413,446,440,705,700,695,702,696,356,316,537,275,163,64,308])).
% 0.62/1.43  cnf(737,plain,
% 0.62/1.43     (P38(a5,a2,a5)),
% 0.62/1.43     inference(scs_inference,[],[13,33,23,37,35,28,4,8,606,572,565,545,580,586,597,620,624,634,653,659,663,704,415,387,413,446,440,705,700,695,702,696,356,316,537,275,163,64,308,350])).
% 0.62/1.43  cnf(738,plain,
% 0.62/1.43     (P38(x7381,x7381,x7381)),
% 0.62/1.43     inference(rename_variables,[],[606])).
% 0.62/1.43  cnf(739,plain,
% 0.62/1.43     (P39(x7391)),
% 0.62/1.43     inference(rename_variables,[],[387])).
% 0.62/1.43  cnf(745,plain,
% 0.62/1.43     (P15(a2,a5)),
% 0.62/1.43     inference(scs_inference,[],[13,33,23,26,32,36,37,35,28,4,8,606,641,572,565,545,580,586,597,620,624,634,645,653,659,663,704,415,387,413,446,440,705,700,695,702,696,356,316,537,275,163,64,308,350,208,322,549])).
% 0.62/1.43  cnf(747,plain,
% 0.62/1.43     (P42(a5,a5,a5)),
% 0.62/1.43     inference(scs_inference,[],[13,33,23,26,32,36,37,35,28,4,8,606,641,456,572,565,545,580,586,597,620,624,634,645,653,659,663,704,415,387,391,413,446,440,705,700,695,702,696,356,316,537,275,163,64,308,350,208,322,549,340])).
% 0.62/1.43  cnf(751,plain,
% 0.62/1.43     (P35(a4,a4)),
% 0.62/1.43     inference(scs_inference,[],[13,33,23,26,32,36,37,35,28,4,8,606,738,641,456,639,572,565,545,563,580,586,597,620,624,634,645,653,659,663,704,415,387,391,413,446,440,705,700,695,702,696,356,316,537,275,163,64,308,350,208,322,549,340,287,358])).
% 0.62/1.43  cnf(759,plain,
% 0.62/1.43     (P19(a3,a3,a2)),
% 0.62/1.43     inference(scs_inference,[],[13,33,23,26,32,36,37,35,28,4,8,5,606,738,641,661,456,639,572,565,578,545,563,580,586,597,620,624,634,645,653,659,663,704,415,387,391,413,446,440,705,700,695,702,696,356,316,537,275,163,64,308,350,208,322,549,340,287,358,177,699,697,560])).
% 0.62/1.43  cnf(763,plain,
% 0.62/1.43     (P41(a3)),
% 0.62/1.43     inference(scs_inference,[],[13,33,23,26,32,36,37,722,35,38,28,4,8,5,606,738,641,661,456,639,572,565,578,545,563,580,586,597,620,624,634,645,653,659,663,704,415,387,739,391,413,446,440,705,700,695,702,696,356,316,537,275,163,64,308,350,208,322,549,340,287,358,177,699,697,560,328,44])).
% 0.62/1.43  cnf(765,plain,
% 0.62/1.43     (P19(a2,a3,a3)),
% 0.62/1.43     inference(scs_inference,[],[13,33,23,26,32,36,37,722,35,38,28,4,8,5,606,738,641,661,456,639,572,565,578,545,563,580,586,597,620,624,634,645,653,659,663,704,415,403,387,739,391,413,446,440,705,700,695,702,696,356,316,537,275,163,64,308,350,208,322,549,340,287,358,177,699,697,560,328,44,331])).
% 0.62/1.43  cnf(788,plain,
% 0.62/1.43     (P46(x7881)+~P13(x7881)),
% 0.62/1.43     inference(scs_inference,[],[719,45])).
% 0.62/1.43  cnf(789,plain,
% 0.62/1.43     (P24(x7891,x7891)+~P32(x7892,x7891,x7891)+~P45(x7891)),
% 0.62/1.43     inference(scs_inference,[],[728,320])).
% 0.62/1.43  cnf(797,plain,
% 0.62/1.43     (P30(a1,x7971,x7971)),
% 0.62/1.43     inference(scs_inference,[],[728,651,572,565,438,789,353])).
% 0.62/1.43  cnf(803,plain,
% 0.62/1.43     (P22(a3,x8031,a3)),
% 0.62/1.43     inference(scs_inference,[],[37,38,728,651,707,751,572,565,597,634,438,789,353,162,356])).
% 0.62/1.43  cnf(807,plain,
% 0.62/1.43     (P38(a3,a5,a3)),
% 0.62/1.43     inference(scs_inference,[],[34,37,38,7,728,651,707,751,606,572,565,597,634,387,438,789,353,162,356,350])).
% 0.62/1.43  cnf(808,plain,
% 0.62/1.43     (P38(x8081,x8081,x8081)),
% 0.62/1.43     inference(rename_variables,[],[606])).
% 0.62/1.43  cnf(820,plain,
% 0.62/1.43     (P42(a3,a3,a1)),
% 0.62/1.43     inference(scs_inference,[],[34,29,37,28,38,27,6,7,728,651,657,707,751,765,606,808,572,565,563,597,634,387,391,438,789,353,162,356,350,322,274,555,548,345])).
% 0.62/1.43  cnf(839,plain,
% 0.62/1.43     (P16(a4,a4)),
% 0.62/1.43     inference(scs_inference,[],[32,28,438,219])).
% 0.62/1.43  cnf(842,plain,
% 0.62/1.43     (P7(a2,a5)),
% 0.62/1.43     inference(scs_inference,[],[32,28,413,578,438,440,219,218])).
% 0.62/1.43  cnf(845,plain,
% 0.62/1.43     (P27(x8451)),
% 0.62/1.43     inference(scs_inference,[],[32,28,797,413,578,438,440,219,218,173])).
% 0.62/1.43  cnf(850,plain,
% 0.62/1.43     (~P5(a3)+P26(a3,a5,a5)),
% 0.62/1.43     inference(scs_inference,[],[33,32,35,38,28,797,413,578,659,438,586,440,219,218,173,356,254])).
% 0.62/1.43  cnf(874,plain,
% 0.62/1.43     (P32(a4,a4,x8741)+~P22(x8741,a4,a3)),
% 0.62/1.43     inference(scs_inference,[],[845,229])).
% 0.62/1.43  cnf(878,plain,
% 0.62/1.43     (P32(a4,a4,a3)),
% 0.62/1.43     inference(scs_inference,[],[803,874])).
% 0.62/1.43  cnf(881,plain,
% 0.62/1.43     (P32(x8811,x8811,x8811)),
% 0.62/1.43     inference(scs_inference,[],[845,803,874,698])).
% 0.62/1.43  cnf(883,plain,
% 0.62/1.43     (P31(x8831,x8831,x8831)),
% 0.62/1.43     inference(scs_inference,[],[845,797,803,874,698,274])).
% 0.62/1.43  cnf(885,plain,
% 0.62/1.43     (P5(a4)),
% 0.62/1.43     inference(scs_inference,[],[18,845,797,803,874,698,274,53])).
% 0.62/1.43  cnf(887,plain,
% 0.62/1.43     (P38(a3,a2,a3)),
% 0.62/1.43     inference(scs_inference,[],[18,34,387,8,845,797,803,606,874,698,274,53,350])).
% 0.62/1.43  cnf(890,plain,
% 0.62/1.43     (~P24(a3,a3)+~P28(a5,a4)),
% 0.62/1.43     inference(scs_inference,[],[18,34,387,8,845,39,612,797,803,751,606,874,698,274,53,350,216,299])).
% 0.62/1.43  cnf(892,plain,
% 0.62/1.43     (P42(a1,x8921,a1)),
% 0.62/1.43     inference(scs_inference,[],[18,34,387,8,845,39,612,797,803,751,606,874,698,274,53,350,216,299,248])).
% 0.62/1.43  cnf(894,plain,
% 0.62/1.43     (P7(a2,a2)),
% 0.62/1.43     inference(scs_inference,[],[18,34,387,8,845,608,39,612,797,803,751,606,874,698,274,53,350,216,299,248,190])).
% 0.62/1.43  cnf(896,plain,
% 0.62/1.43     (P29(a2,a2,a4)),
% 0.62/1.43     inference(scs_inference,[],[18,34,387,26,8,845,608,39,612,797,803,751,606,874,698,274,53,350,216,299,248,190,136])).
% 0.62/1.43  cnf(900,plain,
% 0.62/1.43     (P16(a2,a2)),
% 0.62/1.43     inference(scs_inference,[],[18,34,387,26,35,28,8,845,608,839,39,612,797,803,751,561,707,606,874,698,274,53,350,216,299,248,190,136,154,325])).
% 0.62/1.43  cnf(901,plain,
% 0.62/1.43     (P23(a2,x9011)),
% 0.62/1.43     inference(rename_variables,[],[28])).
% 0.62/1.43  cnf(905,plain,
% 0.62/1.43     (P19(a2,a5,a5)+~P5(a3)),
% 0.62/1.43     inference(scs_inference,[],[18,34,15,387,26,35,19,28,8,845,608,839,39,612,797,803,751,561,707,606,440,874,698,274,53,350,216,299,248,190,136,154,325,205,169])).
% 0.62/1.43  cnf(907,plain,
% 0.62/1.43     (P13(a5)),
% 0.62/1.43     inference(scs_inference,[],[18,34,15,387,26,35,19,28,8,845,647,608,839,39,612,797,803,751,561,707,606,440,874,698,274,53,350,216,299,248,190,136,154,325,205,169,174])).
% 0.62/1.43  cnf(909,plain,
% 0.62/1.43     (~P5(a3)+P38(a3,a4,a3)),
% 0.62/1.43     inference(scs_inference,[],[18,34,15,387,26,35,19,28,8,845,647,608,839,39,612,797,803,751,561,707,606,597,440,874,698,274,53,350,216,299,248,190,136,154,325,205,169,174,543])).
% 0.62/1.43  cnf(913,plain,
% 0.62/1.43     (P26(a4,a5,a5)),
% 0.62/1.43     inference(scs_inference,[],[18,34,15,387,26,35,38,19,28,8,845,647,608,839,39,612,797,803,751,561,707,606,450,597,440,874,698,274,53,350,216,299,248,190,136,154,325,205,169,174,543,327,254])).
% 0.62/1.43  cnf(923,plain,
% 0.62/1.43     (P19(a5,a2,a5)),
% 0.62/1.43     inference(scs_inference,[],[18,34,15,29,387,26,35,38,19,4,28,901,8,845,647,608,576,839,39,612,797,803,751,561,707,606,450,597,440,874,698,274,53,350,216,299,248,190,136,154,325,205,169,174,543,327,254,89,220,191,226,234])).
% 0.62/1.43  cnf(925,plain,
% 0.62/1.43     (P25(a2)),
% 0.62/1.43     inference(scs_inference,[],[18,34,15,29,387,26,35,38,19,4,28,901,8,845,647,608,576,632,839,39,612,797,803,751,561,707,606,450,597,440,874,698,274,53,350,216,299,248,190,136,154,325,205,169,174,543,327,254,89,220,191,226,234,172])).
% 0.62/1.43  cnf(927,plain,
% 0.62/1.43     (~P24(a3,a3)+~P28(a5,a5)+~P31(a5,a4,a4)),
% 0.62/1.43     inference(scs_inference,[],[18,34,15,29,387,26,35,38,19,4,28,901,8,845,647,608,576,632,839,39,612,797,803,751,561,707,606,450,597,440,874,698,274,53,350,216,299,248,190,136,154,325,205,169,174,543,327,254,89,220,191,226,234,172,211])).
% 0.62/1.43  cnf(929,plain,
% 0.62/1.43     (P30(a4,a5,a4)),
% 0.62/1.43     inference(scs_inference,[],[913,223])).
% 0.62/1.43  cnf(931,plain,
% 0.62/1.43     (P13(a1)),
% 0.62/1.43     inference(scs_inference,[],[38,907,913,223,180])).
% 0.62/1.43  cnf(932,plain,
% 0.62/1.43     (P12(x9321,a1,x9322)),
% 0.62/1.43     inference(rename_variables,[],[38])).
% 0.62/1.43  cnf(934,plain,
% 0.62/1.43     (P45(a3)),
% 0.62/1.43     inference(scs_inference,[],[13,38,907,913,223,180,534])).
% 0.62/1.43  cnf(939,plain,
% 0.62/1.43     (P16(a1,a2)),
% 0.62/1.43     inference(scs_inference,[],[20,13,38,894,900,907,913,634,606,223,180,534,291,111])).
% 0.62/1.43  cnf(941,plain,
% 0.62/1.43     (P22(x9411,x9411,x9411)),
% 0.62/1.43     inference(scs_inference,[],[20,13,38,894,900,907,913,634,606,446,223,180,534,291,111,247])).
% 0.62/1.43  cnf(945,plain,
% 0.62/1.43     (P15(a2,a2)),
% 0.62/1.43     inference(scs_inference,[],[21,20,13,26,38,894,900,907,913,634,606,446,223,180,534,291,111,247,140,65])).
% 0.62/1.43  cnf(947,plain,
% 0.62/1.43     (P19(a5,x9471,a5)),
% 0.62/1.43     inference(scs_inference,[],[3,21,20,13,26,38,28,894,900,907,913,634,606,446,223,180,534,291,111,247,140,65,156])).
% 0.62/1.43  cnf(953,plain,
% 0.62/1.43     (P8(a2,a5,a2)+~P15(a4,a4)),
% 0.62/1.43     inference(scs_inference,[],[3,21,20,13,26,38,28,6,894,900,885,907,913,657,634,606,446,223,180,534,291,111,247,140,65,156,788,74,245])).
% 0.62/1.43  cnf(955,plain,
% 0.62/1.43     (P30(a2,a5,a2)+~P15(a4,a4)),
% 0.62/1.43     inference(scs_inference,[],[3,21,20,13,26,38,28,6,923,894,900,885,907,913,657,634,606,446,223,180,534,291,111,247,140,65,156,788,74,245,241])).
% 0.62/1.43  cnf(960,plain,
% 0.62/1.43     (P30(a2,a5,a5)+~P15(a4,a4)),
% 0.62/1.43     inference(scs_inference,[],[3,21,20,13,26,38,932,28,6,923,894,900,655,885,907,913,745,657,634,606,446,223,180,534,291,111,247,140,65,156,788,74,245,241,554,353])).
% 0.62/1.43  cnf(962,plain,
% 0.62/1.43     (P29(a5,a2,a5)+~P15(a4,a4)),
% 0.62/1.43     inference(scs_inference,[],[3,21,20,13,26,38,932,28,6,923,894,900,655,885,907,913,745,657,634,606,446,223,180,534,291,111,247,140,65,156,788,74,245,241,554,353,556])).
% 0.62/1.43  cnf(968,plain,
% 0.62/1.43     (~P15(a4,a4)+P29(a2,x9681,a2)),
% 0.62/1.43     inference(scs_inference,[],[3,21,20,13,26,38,932,35,28,6,923,894,900,655,885,907,913,745,657,751,634,606,446,223,180,534,291,111,247,140,65,156,788,74,245,241,554,353,556,144,67,334])).
% 0.62/1.43  cnf(978,plain,
% 0.62/1.43     (~P15(a4,a4)+P30(a5,a5,a2)),
% 0.62/1.43     inference(scs_inference,[],[3,21,389,18,20,13,26,38,932,35,28,7,6,923,894,900,655,747,885,907,913,745,657,751,797,634,606,446,223,180,534,291,111,247,140,65,156,788,74,245,241,554,353,556,144,67,334,152,352,700,699,551])).
% 0.62/1.43  cnf(982,plain,
% 0.62/1.43     (~P15(a4,a4)+P24(x9821,a1)+~P28(x9821,a1)),
% 0.62/1.43     inference(scs_inference,[],[3,21,389,18,20,13,26,38,932,35,28,7,6,881,667,923,894,900,655,747,885,907,913,745,711,624,657,751,797,634,606,446,223,180,534,291,111,247,140,65,156,788,74,245,241,554,353,556,144,67,334,152,352,700,699,551,326,299])).
% 0.62/1.43  cnf(986,plain,
% 0.62/1.43     (P32(a5,a5,a1)+~P15(a4,a4)),
% 0.62/1.43     inference(scs_inference,[],[3,21,389,18,20,13,26,38,932,35,28,7,6,881,667,923,894,900,892,655,747,885,907,913,745,711,624,657,751,797,634,606,446,223,180,534,291,111,247,140,65,156,788,74,245,241,554,353,556,144,67,334,152,352,700,699,551,326,299,283,275])).
% 0.62/1.43  cnf(988,plain,
% 0.62/1.43     (~P15(a4,a4)+~P42(a4,a5,a3)+P6(a5)),
% 0.62/1.43     inference(scs_inference,[],[3,21,389,18,20,13,26,38,932,35,28,7,6,881,667,726,923,894,900,892,655,747,885,907,913,745,711,401,624,657,751,797,634,606,446,223,180,534,291,111,247,140,65,156,788,74,245,241,554,353,556,144,67,334,152,352,700,699,551,326,299,283,275,321])).
% 0.62/1.43  cnf(992,plain,
% 0.62/1.43     (P26(a4,x9921,x9921)+~P15(a4,a4)+P6(a5)),
% 0.62/1.43     inference(scs_inference,[],[3,21,389,18,20,13,26,38,932,35,28,7,6,881,667,726,923,894,900,892,655,747,885,907,913,745,763,711,576,401,624,657,751,797,634,606,446,223,180,534,291,111,247,140,65,156,788,74,245,241,554,353,556,144,67,334,152,352,700,699,551,326,299,283,275,321,309,302])).
% 0.62/1.43  cnf(1000,plain,
% 0.62/1.43     (P19(a4,a5,a4)+~P15(a4,a4)+P6(a5)),
% 0.62/1.43     inference(scs_inference,[],[3,21,389,18,20,13,387,26,38,932,35,28,7,6,881,667,726,923,894,900,892,655,747,885,907,913,745,763,711,576,401,624,657,751,572,797,634,606,446,223,180,534,291,111,247,140,65,156,788,74,245,241,554,353,556,144,67,334,152,352,700,699,551,326,299,283,275,321,309,302,205,191,76,122])).
% 0.62/1.43  cnf(1004,plain,
% 0.62/1.43     (P44(a1)),
% 0.62/1.43     inference(scs_inference,[],[934,531])).
% 0.62/1.43  cnf(1008,plain,
% 0.62/1.43     (P8(a4,a4,a2)),
% 0.62/1.43     inference(scs_inference,[],[896,878,820,704,341,702])).
% 0.62/1.43  cnf(1013,plain,
% 0.62/1.43     (P22(x10131,x10131,x10131)),
% 0.62/1.43     inference(rename_variables,[],[941])).
% 0.62/1.43  cnf(1017,plain,
% 0.62/1.43     (P16(a3,a2)),
% 0.62/1.43     inference(scs_inference,[],[22,20,26,8,5,941,896,934,878,820,900,657,704,341,702,188,339,122,111])).
% 0.62/1.43  cnf(1021,plain,
% 0.62/1.43     (P47(a2)),
% 0.62/1.43     inference(scs_inference,[],[22,21,20,26,8,5,883,941,887,896,934,945,878,820,900,657,704,341,702,188,339,122,111,209,201])).
% 0.62/1.43  cnf(1026,plain,
% 0.62/1.43     (P38(a3,a2,a2)),
% 0.62/1.43     inference(scs_inference,[],[22,21,20,26,8,5,883,941,759,887,896,934,945,448,878,820,900,657,704,341,702,188,339,122,111,209,201,331,268])).
% 0.62/1.43  cnf(1027,plain,
% 0.62/1.43     (P29(a3,x10271,a3)),
% 0.62/1.43     inference(rename_variables,[],[448])).
% 0.62/1.43  cnf(1029,plain,
% 0.62/1.43     (P5(a3)),
% 0.62/1.43     inference(scs_inference,[],[22,21,20,26,8,5,883,941,759,887,896,934,945,448,878,820,900,657,704,341,702,188,339,122,111,209,201,331,268,53])).
% 0.62/1.43  cnf(1032,plain,
% 0.62/1.43     (P19(a2,a5,a5)),
% 0.62/1.43     inference(scs_inference,[],[22,21,20,26,8,5,883,941,759,887,896,934,945,448,878,820,900,657,704,341,702,188,339,122,111,209,201,331,268,53,909,905])).
% 0.62/1.43  cnf(1035,plain,
% 0.62/1.43     (P24(a3,a3)),
% 0.62/1.43     inference(scs_inference,[],[22,21,20,38,26,8,5,883,941,759,887,896,934,945,448,878,820,900,881,657,704,341,702,188,339,122,111,209,201,331,268,53,909,905,221,789])).
% 0.62/1.43  cnf(1043,plain,
% 0.62/1.43     (P30(a2,a3,a2)),
% 0.62/1.43     inference(scs_inference,[],[22,21,20,11,38,26,8,5,883,941,759,887,896,934,945,448,878,820,620,894,900,881,845,657,704,341,702,188,339,122,111,209,201,331,268,53,909,905,221,789,316,696,163,227])).
% 0.62/1.43  cnf(1045,plain,
% 0.62/1.43     (P32(a2,a2,a1)),
% 0.62/1.43     inference(scs_inference,[],[22,21,20,11,4,38,26,8,5,883,941,759,887,896,934,945,448,878,820,620,894,900,892,881,845,657,704,341,702,188,339,122,111,209,201,331,268,53,909,905,221,789,316,696,163,227,275])).
% 0.62/1.43  cnf(1049,plain,
% 0.62/1.43     (P29(a3,a2,a2)),
% 0.62/1.43     inference(scs_inference,[],[22,21,20,11,4,38,26,8,7,5,883,941,759,887,896,934,945,448,878,820,620,894,900,892,881,845,401,657,704,341,702,188,339,122,111,209,201,331,268,53,909,905,221,789,316,696,163,227,275,285,255])).
% 0.62/1.43  cnf(1051,plain,
% 0.62/1.43     (P29(x10511,x10512,a3)),
% 0.62/1.43     inference(scs_inference,[],[22,21,20,11,37,4,38,26,8,7,5,883,941,759,887,896,934,945,448,1027,878,820,620,894,900,892,881,845,401,657,704,341,702,188,339,122,111,209,201,331,268,53,909,905,221,789,316,696,163,227,275,285,255,334])).
% 0.62/1.43  cnf(1053,plain,
% 0.62/1.43     (P29(a4,a4,a5)),
% 0.62/1.43     inference(scs_inference,[],[22,18,21,20,11,37,4,38,26,8,7,5,883,941,759,887,896,934,945,448,1027,878,820,620,894,900,892,881,845,401,657,704,341,702,188,339,122,111,209,201,331,268,53,909,905,221,789,316,696,163,227,275,285,255,334,152])).
% 0.62/1.43  cnf(1056,plain,
% 0.62/1.43     (P26(a3,a5,a5)),
% 0.62/1.43     inference(scs_inference,[],[22,18,21,20,11,37,4,38,26,8,7,5,883,941,759,887,896,934,945,448,1027,878,820,620,894,900,892,881,845,401,657,704,341,702,188,339,122,111,209,201,331,268,53,909,905,221,789,316,696,163,227,275,285,255,334,152,890,850])).
% 0.62/1.43  cnf(1070,plain,
% 0.62/1.43     (P33(a3,a4,a3)+~P31(a5,a4,a4)),
% 0.62/1.43     inference(scs_inference,[],[389,22,18,21,20,11,37,4,38,26,8,7,5,883,941,1013,759,887,896,931,934,945,448,1027,878,820,620,885,894,900,892,881,845,401,657,751,704,1,341,702,188,339,122,111,209,201,331,268,53,909,905,221,789,316,696,163,227,275,285,255,334,152,890,850,927,180,352,210,195,155,74,162])).
% 0.62/1.43  cnf(1076,plain,
% 0.62/1.43     (P17(a4)+~P31(a5,a4,a4)),
% 0.62/1.43     inference(scs_inference,[],[389,22,14,18,21,20,11,37,4,38,26,8,7,5,883,941,1013,947,759,887,896,931,934,945,448,1027,878,820,620,885,894,900,892,881,763,845,401,657,751,704,1,341,702,188,339,122,111,209,201,331,268,53,909,905,221,789,316,696,163,227,275,285,255,334,152,890,850,927,180,352,210,195,155,74,162,560,537,64])).
% 0.62/1.43  cnf(1084,plain,
% 0.62/1.43     (P19(x10841,x10842,x10842)+~P5(x10842)+~P10(x10841,x10841)),
% 0.62/1.43     inference(scs_inference,[],[1029,169])).
% 0.62/1.43  cnf(1085,plain,
% 0.62/1.43     (P19(a2,a4,a4)),
% 0.62/1.43     inference(scs_inference,[],[15,885,1084])).
% 0.62/1.43  cnf(1087,plain,
% 0.62/1.43     (P38(a2,a4,a3)),
% 0.62/1.43     inference(scs_inference,[],[15,1017,1029,885,1084,543])).
% 0.62/1.43  cnf(1091,plain,
% 0.62/1.43     (P30(a2,a3,a3)),
% 0.62/1.43     inference(scs_inference,[],[15,1032,1017,1029,1043,745,885,655,1084,543,555,353])).
% 0.62/1.43  cnf(1096,plain,
% 0.62/1.43     (P36(a3,a3)),
% 0.62/1.43     inference(scs_inference,[],[10,15,1032,1017,1029,1043,745,839,763,885,655,578,1084,543,555,353,560,537])).
% 0.62/1.43  cnf(1105,plain,
% 0.62/1.43     (P22(x11051,x11051,x11051)),
% 0.62/1.43     inference(rename_variables,[],[941])).
% 0.62/1.43  cnf(1107,plain,
% 0.62/1.43     (P35(x11071,x11071)),
% 0.62/1.43     inference(scs_inference,[],[10,23,15,387,28,1032,616,1017,1021,1029,1043,717,941,931,745,839,763,885,655,578,624,1084,543,555,353,560,537,188,163,64,358,76])).
% 0.62/1.43  cnf(1125,plain,
% 0.62/1.43     (P31(a2,a4,a4)),
% 0.62/1.43     inference(scs_inference,[],[4,10,23,15,21,387,28,7,5,1056,1032,1051,616,1008,1017,1021,1026,1029,1035,1043,1049,717,941,931,39,881,745,839,763,885,450,655,578,423,580,624,3,1084,543,555,353,560,537,188,163,64,358,76,299,209,177,268,249,359,361,194,272])).
% 0.62/1.43  cnf(1133,plain,
% 0.62/1.43     (P22(a2,a5,a2)),
% 0.62/1.43     inference(scs_inference,[],[4,10,23,34,15,21,32,387,35,28,7,5,1056,1032,1051,616,1008,1017,1021,1026,1029,1035,1043,1049,925,737,717,941,1105,931,39,881,745,563,839,763,885,934,450,655,578,423,580,624,659,3,1084,543,555,353,560,537,188,163,64,358,76,299,209,177,268,249,359,361,194,272,162,322,287,356])).
% 0.62/1.43  cnf(1135,plain,
% 0.62/1.43     (~P31(a2,a5,a3)+P28(a5,a5)),
% 0.62/1.43     inference(scs_inference,[],[4,10,23,34,15,21,32,387,35,28,7,5,1056,1032,1051,616,1008,1017,1021,1026,1029,1035,1043,1049,925,737,717,941,1105,931,39,881,745,563,839,763,885,934,450,655,578,423,580,624,659,3,1084,543,555,353,560,537,188,163,64,358,76,299,209,177,268,249,359,361,194,272,162,322,287,356,197])).
% 0.62/1.43  cnf(1165,plain,
% 0.62/1.43     (P22(x11651,x11651,x11651)),
% 0.62/1.43     inference(rename_variables,[],[941])).
% 0.62/1.43  cnf(1170,plain,
% 0.62/1.43     (P47(a5)),
% 0.62/1.43     inference(scs_inference,[],[27,8,6,626,569,1087,1091,1133,456,842,941,1029,436,641,606,1084,285,358,331,339,291,201])).
% 0.62/1.43  cnf(1172,plain,
% 0.62/1.43     (P7(x11721,x11721)),
% 0.62/1.43     inference(scs_inference,[],[401,27,8,6,626,569,1087,1091,1133,456,842,941,1029,436,641,606,1084,285,358,331,339,291,201,190])).
% 0.62/1.43  cnf(1176,plain,
% 0.62/1.43     (P8(a2,a3,a2)),
% 0.62/1.43     inference(scs_inference,[],[22,401,27,8,6,626,569,1087,1091,1133,456,842,941,1029,1043,436,641,597,934,606,1084,285,358,331,339,291,201,190,297,308])).
% 0.62/1.43  cnf(1188,plain,
% 0.62/1.43     (P13(a4)),
% 0.62/1.43     inference(scs_inference,[],[33,22,401,27,8,6,626,569,1045,1087,1091,1125,1133,734,456,887,842,941,1165,1029,1043,892,436,641,563,597,934,606,659,1084,285,358,331,339,291,201,190,297,308,345,322,271,341,248,174])).
% 0.62/1.43  cnf(1192,plain,
% 0.62/1.43     (P7(a4,a3)),
% 0.62/1.43     inference(scs_inference,[],[33,22,401,27,35,8,6,626,569,1045,1087,1091,1125,1133,734,456,887,842,941,1165,1029,1043,892,436,641,563,597,934,606,659,1084,285,358,331,339,291,201,190,297,308,345,322,271,341,248,174,254,218])).
% 0.62/1.43  cnf(1207,plain,
% 0.62/1.43     (~P26(a4,x12071,x12071)+~P23(a2,x12071)+P30(a2,a4,a3)),
% 0.62/1.43     inference(scs_inference,[],[1192,559])).
% 0.62/1.43  cnf(1208,plain,
% 0.62/1.43     (~P22(a3,x12081,x12081)+~P38(x12081,a5,x12081)+P42(a3,a3,a5)),
% 0.62/1.43     inference(scs_inference,[],[1172,706])).
% 0.62/1.43  cnf(1211,plain,
% 0.62/1.43     (P8(a3,a3,a4)),
% 0.62/1.43     inference(scs_inference,[],[1192,145])).
% 0.62/1.43  cnf(1213,plain,
% 0.62/1.43     (P8(a2,a2,a3)),
% 0.62/1.43     inference(scs_inference,[],[1192,1049,704,145,702])).
% 0.62/1.43  cnf(1222,plain,
% 0.62/1.43     (P42(a3,a3,a2)),
% 0.62/1.43     inference(scs_inference,[],[17,401,7,6,1176,1192,1049,803,663,1043,763,704,934,145,702,271,308,285,345])).
% 0.62/1.43  cnf(1223,plain,
% 0.62/1.43     (P22(a3,x12231,a3)),
% 0.62/1.43     inference(rename_variables,[],[803])).
% 0.62/1.43  cnf(1225,plain,
% 0.62/1.43     (P31(a1,x12251,x12251)),
% 0.62/1.43     inference(scs_inference,[],[17,401,7,6,1172,1176,1192,1049,803,663,1043,763,704,934,606,145,702,271,308,285,345,291])).
% 0.62/1.43  cnf(1226,plain,
% 0.62/1.43     (P38(x12261,x12261,x12261)),
% 0.62/1.43     inference(rename_variables,[],[606])).
% 0.62/1.43  cnf(1229,plain,
% 0.62/1.43     (P12(x12291,a1,x12292)),
% 0.62/1.43     inference(rename_variables,[],[38])).
% 0.62/1.43  cnf(1233,plain,
% 0.62/1.43     (P22(a3,x12331,a3)),
% 0.62/1.43     inference(rename_variables,[],[803])).
% 0.62/1.43  cnf(1240,plain,
% 0.62/1.43     (P30(a3,a5,a3)),
% 0.62/1.43     inference(scs_inference,[],[17,401,38,7,6,28,1172,807,1176,1188,1192,1004,1056,913,1049,803,1223,663,1043,763,704,934,606,1226,145,702,271,308,285,345,291,322,1208,1207,788,223])).
% 0.62/1.43  cnf(1246,plain,
% 0.62/1.43     (P45(x12461)),
% 0.62/1.43     inference(scs_inference,[],[17,401,27,38,7,6,28,1172,807,1176,1188,1192,1004,1056,730,913,1049,803,1223,663,1043,763,797,704,934,606,1226,586,145,702,271,308,285,345,291,322,1208,1207,788,223,318,700,534])).
% 0.62/1.43  cnf(1254,plain,
% 0.62/1.43     (P30(a5,a4,a4)),
% 0.62/1.43     inference(scs_inference,[],[17,401,27,38,7,6,28,1172,807,1176,1188,1192,1053,1004,1056,730,913,665,1049,803,1223,663,1091,1043,763,797,704,934,606,1226,586,145,702,271,308,285,345,291,322,1208,1207,788,223,318,700,534,245,699,556,551])).
% 0.62/1.43  cnf(1256,plain,
% 0.62/1.43     (P30(a2,a4,a2)),
% 0.62/1.43     inference(scs_inference,[],[17,401,27,38,7,6,28,1172,610,807,1176,1188,1192,1053,1004,1056,730,913,665,1049,803,1223,663,1091,1043,763,797,704,934,606,1226,586,145,702,271,308,285,345,291,322,1208,1207,788,223,318,700,534,245,699,556,551,241])).
% 0.62/1.43  cnf(1266,plain,
% 0.62/1.43     (P19(x12661,a1,a1)),
% 0.62/1.43     inference(scs_inference,[],[5,17,401,27,38,1229,7,6,28,1172,610,807,1176,1188,1192,1053,1004,939,1056,730,913,665,1049,896,417,803,1223,1233,663,1091,1043,763,797,885,704,934,606,1226,586,145,702,271,308,285,345,291,322,1208,1207,788,223,318,700,534,245,699,556,551,241,172,287,89,74,554])).
% 0.62/1.43  cnf(1270,plain,
% 0.62/1.43     (P38(a5,a5,a2)),
% 0.62/1.43     inference(scs_inference,[],[5,17,401,27,38,1229,7,6,28,1172,610,807,1176,1188,1192,1053,1004,939,1056,730,913,665,1049,896,417,803,1223,1233,663,1091,1043,745,763,797,885,704,934,606,1226,586,145,702,271,308,285,345,291,322,1208,1207,788,223,318,700,534,245,699,556,551,241,172,287,89,74,554,328,144])).
% 0.62/1.43  cnf(1272,plain,
% 0.62/1.43     (P24(x12721,x12721)),
% 0.62/1.43     inference(scs_inference,[],[5,17,401,27,38,1229,7,6,28,1107,1172,610,807,1176,1188,1192,1053,1004,939,1056,730,913,665,1049,896,417,803,1223,1233,663,1091,1043,745,763,797,885,704,934,606,1226,586,145,702,271,308,285,345,291,322,1208,1207,788,223,318,700,534,245,699,556,551,241,172,287,89,74,554,328,144,67])).
% 0.62/1.43  cnf(1293,plain,
% 0.62/1.43     (P22(a4,a3,a4)),
% 0.62/1.43     inference(scs_inference,[],[1192,580,153])).
% 0.62/1.43  cnf(1299,plain,
% 0.62/1.43     (P23(a2,x12991)),
% 0.62/1.43     inference(rename_variables,[],[28])).
% 0.62/1.43  cnf(1302,plain,
% 0.62/1.43     (P15(a4,a4)),
% 0.62/1.43     inference(scs_inference,[],[389,18,28,1270,1256,1192,941,580,153,326,352,65])).
% 0.62/1.43  cnf(1304,plain,
% 0.62/1.43     (P42(x13041,x13041,x13041)),
% 0.62/1.43     inference(scs_inference,[],[389,18,28,1225,1270,1256,1192,941,892,580,153,326,352,65,340])).
% 0.62/1.43  cnf(1307,plain,
% 0.62/1.43     (P31(a4,a3,a3)),
% 0.62/1.43     inference(scs_inference,[],[389,18,28,1225,1270,1211,1256,1192,941,892,763,580,153,326,352,65,340,272])).
% 0.62/1.43  cnf(1310,plain,
% 0.62/1.43     (P23(a2,x13101)),
% 0.62/1.43     inference(rename_variables,[],[28])).
% 0.62/1.43  cnf(1312,plain,
% 0.62/1.43     (P31(a1,a4,a3)),
% 0.62/1.43     inference(scs_inference,[],[389,18,11,28,1299,1225,1270,1211,1256,1192,941,892,763,580,885,606,153,326,352,65,340,272,193,291])).
% 0.62/1.43  cnf(1315,plain,
% 0.62/1.43     (P32(a5,a5,a1)),
% 0.62/1.43     inference(scs_inference,[],[389,18,11,28,1299,1225,1270,1211,1256,1192,941,892,763,580,885,606,153,326,352,65,340,272,193,291,986])).
% 0.62/1.43  cnf(1317,plain,
% 0.62/1.43     (P29(a2,x13171,a2)),
% 0.62/1.43     inference(scs_inference,[],[389,18,11,28,1299,1225,1270,1211,1256,1192,941,892,763,580,885,606,153,326,352,65,340,272,193,291,986,978,968])).
% 0.62/1.43  cnf(1320,plain,
% 0.62/1.43     (P30(a2,a5,a2)),
% 0.62/1.43     inference(scs_inference,[],[389,18,11,28,1299,1225,1270,1211,1256,1192,941,892,763,580,885,606,153,326,352,65,340,272,193,291,986,978,968,962,960,955])).
% 0.62/1.43  cnf(1324,plain,
% 0.62/1.43     (P16(x13241,a2)),
% 0.62/1.43     inference(scs_inference,[],[389,18,20,11,28,1299,1246,1225,1270,1266,1211,1256,1192,941,892,900,763,580,885,606,153,326,352,65,340,272,193,291,986,978,968,962,960,955,953,283,111])).
% 0.62/1.43  cnf(1345,plain,
% 0.62/1.43     (P16(a5,a5)),
% 0.62/1.43     inference(scs_inference,[],[389,18,20,34,14,33,11,38,28,1299,1310,1246,1225,1270,1266,1211,1256,1133,1192,1004,939,1017,941,892,545,900,839,763,580,885,606,704,153,326,352,65,340,272,193,291,986,978,968,962,960,955,953,283,111,356,287,637,1000,992,988,982,180,316,543,297,219])).
% 0.62/1.43  cnf(1351,plain,
% 0.62/1.43     (~P11(x13511,x13511)+~P23(x13511,x13512)+P19(x13512,x13512,a4)),
% 0.62/1.43     inference(scs_inference,[],[1302,205])).
% 0.62/1.43  cnf(1360,plain,
% 0.62/1.43     (P8(a3,a3,a2)),
% 0.62/1.43     inference(scs_inference,[],[6,10,7,1324,1213,1172,1004,122,154,316])).
% 0.62/1.43  cnf(1365,plain,
% 0.62/1.43     (P30(a3,a5,a5)),
% 0.62/1.43     inference(scs_inference,[],[6,10,7,1240,1302,1324,1213,1051,1172,1004,576,572,122,154,316,302,353])).
% 0.62/1.43  cnf(1377,plain,
% 0.62/1.43     (P5(a2)),
% 0.62/1.43     inference(scs_inference,[],[6,10,17,19,38,7,1240,1302,1324,1317,1213,1085,1051,1172,1004,576,572,122,154,316,302,353,334,1351,555,53])).
% 0.62/1.43  cnf(1426,plain,
% 0.62/1.43     (P16(x14261,a5)),
% 0.62/1.43     inference(scs_inference,[],[6,18,20,14,19,26,8,1272,1222,1170,1360,1377,1315,1107,1345,1302,1320,737,947,651,39,881,845,1246,1029,3,297,341,560,188,64,74,299,163,249,209,268,111])).
% 0.62/1.43  cnf(1449,plain,
% 0.62/1.43     (P44(a4)),
% 0.62/1.43     inference(scs_inference,[],[6,36,18,23,20,14,27,19,26,8,1272,1222,1254,1170,1293,1307,1312,1360,1377,1315,1107,1345,1302,1324,1320,737,947,651,1051,39,881,845,1246,1029,3,297,341,560,188,64,74,299,163,249,209,268,111,1135,1084,174,543,283,339,162,201,334,1076,1070,1351,544])).
% 0.62/1.43  cnf(1457,plain,
% 0.62/1.43     (~P6(x14571)),
% 0.62/1.43     inference(scs_inference,[],[6,36,389,18,23,20,14,27,19,26,8,1272,1222,1254,1170,1293,1307,1312,1360,1377,1315,1107,1345,1302,1324,1320,929,737,947,651,1051,39,881,941,845,1246,572,1029,4,3,297,341,560,188,64,74,299,163,249,209,268,111,1135,1084,174,543,283,339,162,201,334,1076,1070,1351,544,191,352,248,195])).
% 0.62/1.43  cnf(1467,plain,
% 0.62/1.43     (~P37(a3,a3,a5)),
% 0.62/1.43     inference(scs_inference,[],[6,36,389,18,23,20,14,27,19,26,8,1272,1222,1254,1170,1293,1307,1312,1360,1377,1315,1107,1345,1240,1302,1324,1320,1304,929,737,947,651,618,1051,39,881,941,845,1246,572,1029,423,4,3,297,341,560,188,64,74,299,163,249,209,268,111,1135,1084,174,543,283,339,162,201,334,1076,1070,1351,544,191,352,248,195,194,549,353,272,321])).
% 0.62/1.43  cnf(1472,plain,
% 0.62/1.43     (~P36(x14721,x14721)+~P42(x14721,a5,x14722)+~P37(a3,a3,x14722)),
% 0.62/1.43     inference(scs_inference,[],[1457,321])).
% 0.62/1.43  cnf(1490,plain,
% 0.62/1.43     ($false),
% 0.62/1.43     inference(scs_inference,[],[7,401,1365,1467,1426,1449,1096,5,1472,555,554,154,122,248]),
% 0.62/1.43     ['proof']).
% 0.62/1.43  % SZS output end Proof
% 0.62/1.43  % Total time :0.730000s
%------------------------------------------------------------------------------