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CSE---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SYN207-1 : TPTP v8.2.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n027.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 19:04:50 EDT 2024

% Result   : Unsatisfiable 58.71s 58.73s
% Output   : CNFRefutation 58.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : SYN207-1 : TPTP v8.2.0. Released v1.1.0.
% 0.08/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Jun 24 00:03:09 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.48/0.58  start to proof:theBenchmark
% 58.71/58.72  %-------------------------------------------
% 58.71/58.72  % File        :CSE---1.7
% 58.71/58.72  % Problem     :theBenchmark
% 58.71/58.72  % Transform   :cnf
% 58.71/58.72  % Format      :tptp:raw
% 58.71/58.72  % Command     :java -jar mcs_scs.jar %d %s
% 58.71/58.72  
% 58.71/58.72  % Result      :Theorem 58.060000s
% 58.71/58.72  % Output      :CNFRefutation 58.060000s
% 58.71/58.72  %-------------------------------------------
% 58.71/58.73  %--------------------------------------------------------------------------
% 58.71/58.73  % File     : SYN207-1 : TPTP v8.2.0. Released v1.1.0.
% 58.71/58.73  % Domain   : Syntactic (Random Prolog Theory)
% 58.71/58.73  % Problem  : RPT63 synthetic problem 105 (quasi-uniform distribution)
% 58.71/58.73  % Version  : [SE94] axioms : Especial.
% 58.71/58.73  % English  :
% 58.71/58.73  
% 58.71/58.73  % Refs     : [SE94]  Segre & Elkan (1994), A High-Performance Explanation-B
% 58.71/58.73  % Source   : [SE94]
% 58.71/58.73  % Names    : - [SE94]
% 58.71/58.73  
% 58.71/58.73  % Status   : Unsatisfiable
% 58.71/58.73  % 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 v2.2.0, 0.11 v2.1.0, 0.00 v2.0.0
% 58.71/58.73  % Syntax   : Number of clauses     :  369 (  39 unt;   0 nHn; 362 RR)
% 58.71/58.73  %            Number of literals    : 1060 (   0 equ; 692 neg)
% 58.71/58.73  %            Maximal clause size   :    5 (   2 avg)
% 58.71/58.73  %            Maximal term depth    :    1 (   1 avg)
% 58.71/58.73  %            Number of predicates  :   48 (  48 usr;   0 prp; 1-3 aty)
% 58.71/58.73  %            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
% 58.71/58.73  %            Number of variables   :  626 ( 160 sgn)
% 58.71/58.73  % SPC      : CNF_UNS_EPR_NEQ_HRN
% 58.71/58.73  
% 58.71/58.73  % Comments : This theory has a finite deductive closure.
% 58.71/58.73  %--------------------------------------------------------------------------
% 58.71/58.73  %----Include Synthetic domain theory for EBL
% 58.71/58.73  include('Axioms/SYN001-0.ax').
% 58.71/58.73  %--------------------------------------------------------------------------
% 58.71/58.73  cnf(prove_this,negated_conjecture,
% 58.71/58.73      ~ s3(c,c) ).
% 58.71/58.73  
% 58.71/58.73  %--------------------------------------------------------------------------
% 58.71/58.73  %-------------------------------------------
% 58.71/58.73  % Proof found
% 58.71/58.73  % SZS status Theorem for theBenchmark
% 58.71/58.73  % SZS output start Proof
% 58.71/58.74  %ClaNum:362(EqnAxiom:0)
% 58.71/58.74  %VarNum:1493(SingletonVarNum:573)
% 58.71/58.74  %MaxLitNum:5
% 58.71/58.74  %MaxfuncDepth:0
% 58.71/58.74  %SharedTerms:201
% 58.71/58.74  %goalClause: 39
% 58.71/58.74  %singleGoalClaCount:1
% 58.71/58.74  [1]P1(a1)
% 58.71/58.74  [2]P1(a2)
% 58.71/58.74  [3]P2(a5)
% 58.71/58.74  [4]P2(a2)
% 58.71/58.74  [5]P3(a3)
% 58.71/58.74  [6]P3(a4)
% 58.71/58.74  [7]P4(a5)
% 58.71/58.74  [8]P4(a2)
% 58.71/58.74  [10]P10(a1,a2)
% 58.71/58.74  [11]P10(a1,a4)
% 58.71/58.74  [13]P10(a3,a2)
% 58.71/58.74  [14]P10(a2,a5)
% 58.71/58.74  [15]P10(a2,a2)
% 58.71/58.74  [16]P11(a1,a5)
% 58.71/58.74  [17]P11(a1,a2)
% 58.71/58.74  [18]P11(a1,a4)
% 58.71/58.74  [19]P11(a5,a5)
% 58.71/58.74  [20]P11(a5,a2)
% 58.71/58.74  [21]P11(a3,a2)
% 58.71/58.74  [22]P11(a2,a3)
% 58.71/58.74  [23]P11(a4,a1)
% 58.71/58.74  [26]P23(a4,a2)
% 58.71/58.74  [29]P12(a1,a5,a4)
% 58.71/58.74  [32]P12(a5,a2,a4)
% 58.71/58.74  [33]P12(a3,a5,a5)
% 58.71/58.74  [34]P12(a2,a3,a3)
% 58.71/58.74  [35]P12(a2,a2,a5)
% 58.71/58.74  [36]P12(a4,a2,a3)
% 58.71/58.74  [39]~P44(a4,a4)
% 58.71/58.74  [27]P10(x271,a1)
% 58.71/58.74  [28]P23(a2,x281)
% 58.71/58.74  [37]P12(a3,x371,a3)
% 58.71/58.74  [38]P12(x381,a1,x382)
% 58.71/58.74  [40]P18(a2)+~P5(a2)
% 58.71/58.74  [43]P34(a3,a3)+~P40(a3)
% 58.71/58.74  [58]P7(a5,a5)+~P15(a5,a5)
% 58.71/58.74  [59]P14(a1,a1)+~P7(a3,a1)
% 58.71/58.74  [60]P14(a4,a4)+~P7(a2,a4)
% 58.71/58.74  [79]P19(a5,a5,a5)+~P2(a5)
% 58.71/58.74  [80]P19(a2,a2,a2)+~P3(a2)
% 58.71/58.74  [81]P19(a4,a4,a4)+~P3(a4)
% 58.71/58.74  [82]P26(a4,a4,a4)+~P3(a4)
% 58.71/58.74  [83]P29(a3,a3,a3)+~P3(a3)
% 58.71/58.74  [85]P37(a2,a2,a2)+~P3(a2)
% 58.71/58.74  [86]P8(a3,a3,a3)+~P41(a3)
% 58.71/58.74  [87]P8(a4,a4,a4)+~P41(a4)
% 58.71/58.74  [116]P26(a1,a1,a1)+~P10(a1,a1)
% 58.71/58.74  [119]P22(a2,a2,a2)+~P16(a3,a2)
% 58.71/58.74  [120]P31(a2,a4,a2)+~P7(a4,a2)
% 58.71/58.74  [171]P24(a1,a1)+~P32(a4,a1,a4)
% 58.71/58.74  [213]P29(a4,a5,a2)+~P12(a2,a4,a5)
% 58.71/58.74  [214]P30(a1,a2,a2)+~P29(a1,a2,a5)
% 58.71/58.74  [215]P30(a3,a3,a3)+~P29(a5,a5,a3)
% 58.71/58.74  [216]P22(a2,a2,a2)+~P38(a3,a2,a3)
% 58.71/58.74  [46]~P41(x461)+P14(x461,x461)
% 58.71/58.74  [47]~P6(x471)+P20(x471,x471)
% 58.71/58.74  [48]~P40(x481)+P24(x481,x481)
% 58.71/58.74  [49]~P13(x491)+P34(x491,x491)
% 58.71/58.74  [50]~P6(x501)+P43(x501,x501)
% 58.71/58.74  [54]~P23(x541,x541)+P46(x541)
% 58.71/58.74  [68]~P21(x681,x681)+P34(x681,x681)
% 58.71/58.74  [69]~P35(x691,x691)+P34(x691,x691)
% 58.71/58.74  [96]~P1(x961)+P19(x961,x961,x961)
% 58.71/58.74  [97]~P2(x971)+P26(x971,x971,x971)
% 58.71/58.74  [98]~P4(x981)+P29(x981,x981,x981)
% 58.71/58.74  [100]~P1(x1001)+P37(x1001,x1001,x1001)
% 58.71/58.74  [101]~P2(x1011)+P37(x1011,x1011,x1011)
% 58.71/58.74  [102]~P5(x1021)+P30(x1021,x1021,x1021)
% 58.71/58.74  [103]~P18(x1031)+P8(x1031,x1031,x1031)
% 58.71/58.74  [104]~P25(x1041)+P8(x1041,x1041,x1041)
% 58.71/58.74  [105]~P25(x1051)+P22(x1051,x1051,x1051)
% 58.71/58.74  [106]~P25(x1061)+P31(x1061,x1061,x1061)
% 58.71/58.74  [107]~P41(x1071)+P42(x1071,x1071,x1071)
% 58.71/58.74  [108]~P45(x1081)+P42(x1081,x1081,x1081)
% 58.71/58.74  [134]P30(x1341,x1341,x1341)+~P15(x1341,a1)
% 58.71/58.74  [146]~P16(x1461,x1461)+P31(x1461,x1461,x1461)
% 58.71/58.74  [223]P30(x2231,a5,x2231)+~P26(x2231,a5,a5)
% 58.71/58.74  [224]P37(x2241,x2241,x2241)+~P12(x2241,a4,a2)
% 58.71/58.74  [225]P30(x2251,x2251,x2251)+~P26(a1,a1,x2251)
% 58.71/58.74  [227]~P37(x2271,a3,x2271)+P30(x2271,a3,x2271)
% 58.71/58.74  [243]~P37(x2431,x2431,x2431)+P30(x2431,x2431,x2431)
% 58.71/58.74  [244]~P29(x2441,x2441,x2441)+P38(x2441,x2441,x2441)
% 58.71/58.74  [247]~P30(x2471,x2471,x2471)+P22(x2471,x2471,x2471)
% 58.71/58.74  [53]P5(x531)+~P11(x532,x531)
% 58.71/58.74  [65]P15(x651,x651)+~P11(x652,x651)
% 58.71/58.74  [66]P24(x661,x661)+~P28(x662,x661)
% 58.71/58.74  [67]P24(x671,x671)+~P35(x672,x671)
% 58.71/58.74  [135]P19(x1351,x1351,x1351)+~P10(x1352,x1351)
% 58.71/58.74  [136]~P23(x1362,x1361)+P29(x1361,x1361,x1362)
% 58.71/58.74  [137]P29(x1371,x1371,x1371)+~P10(x1372,x1371)
% 58.71/58.74  [138]P29(x1381,x1381,x1381)+~P11(x1382,x1381)
% 58.71/58.74  [139]P29(x1391,x1391,x1391)+~P23(x1392,x1391)
% 58.71/58.74  [140]~P23(x1402,x1401)+P37(x1401,x1402,x1402)
% 58.71/58.74  [141]P37(x1411,x1411,x1411)+~P10(x1412,x1411)
% 58.71/58.74  [142]P37(x1421,x1421,x1421)+~P11(x1422,x1421)
% 58.71/58.74  [143]P30(x1431,x1431,x1431)+~P15(x1432,x1431)
% 58.71/58.74  [144]~P15(x1442,x1441)+P38(x1441,x1441,x1442)
% 58.71/58.74  [145]~P7(x1452,x1451)+P8(x1451,x1451,x1452)
% 58.71/58.74  [147]P42(x1471,x1471,x1471)+~P16(x1472,x1471)
% 58.71/58.74  [190]P7(x1901,x1901)+~P37(x1902,x1901,x1901)
% 58.71/58.74  [226]P26(x2261,a4,x2261)+~P12(x2262,x2261,a4)
% 58.71/58.74  [231]P38(x2311,x2311,x2311)+~P37(x2312,a4,x2311)
% 58.71/58.74  [232]P26(x2321,x2321,x2322)+~P12(a2,x2322,x2321)
% 58.71/58.74  [234]~P12(x2342,x2342,x2341)+P19(x2341,x2342,x2341)
% 58.71/58.74  [241]~P19(x2412,x2411,x2412)+P30(x2411,x2412,x2411)
% 58.71/58.74  [242]P30(x2421,x2421,x2421)+~P19(x2422,x2422,x2421)
% 58.71/58.74  [245]~P30(x2452,x2451,x2451)+P8(x2451,x2452,x2451)
% 58.71/58.74  [246]P8(x2461,x2461,x2461)+~P30(x2462,x2461,x2461)
% 58.71/58.74  [249]~P8(x2491,x2491,x2492)+P32(x2491,x2492,x2491)
% 58.71/58.74  [250]P32(x2501,x2501,x2501)+~P31(x2502,x2502,x2501)
% 58.71/58.74  [172]P25(x1721)+~P29(x1722,x1723,x1721)
% 58.71/58.74  [173]P27(x1731)+~P30(x1732,x1733,x1731)
% 58.71/58.74  [174]P13(x1741)+~P31(x1742,x1743,x1741)
% 58.71/58.74  [236]P19(x2361,x2361,x2361)+~P12(x2362,x2363,x2361)
% 58.71/58.74  [239]P37(x2391,x2391,x2391)+~P12(x2392,x2393,x2391)
% 58.71/58.74  [248]P42(x2481,x2482,x2481)+~P30(x2481,x2483,x2482)
% 58.71/58.74  [41]P45(a1)+~P1(a1)+~P46(a3)
% 58.71/58.74  [42]P45(a1)+~P39(a1)+~P46(a1)
% 58.71/58.74  [51]P25(a4)+~P4(a2)+~P15(a5,a4)
% 58.71/58.74  [90]P19(a3,a3,a3)+~P1(a1)+~P3(a3)
% 58.71/58.74  [132]~P15(a5,a4)+P30(a5,a4,a4)+~P39(a1)
% 58.71/58.74  [133]P8(a4,a4,a4)+~P45(a5)+~P7(a4,a5)
% 58.71/58.74  [164]P19(a2,a2,a2)+~P10(a4,a1)+~P15(a3,a2)
% 58.71/58.74  [165]P9(a2)+~P48(a5)+~P26(a2,a2,a2)
% 58.71/58.74  [197]P28(a5,a5)+~P14(a2,a3)+~P31(a2,a5,a3)
% 58.71/58.74  [198]P35(a2,a2)+~P15(a2,a4)+~P8(a4,a5,a2)
% 58.71/58.74  [199]P24(a2,a5)+~P28(a2,a5)+~P42(a1,a2,a4)
% 58.71/58.74  [222]P29(a3,a2,a3)+~P2(a2)+~P29(a3,a3,a3)
% 58.71/58.74  [260]P29(a1,a1,a2)+~P23(a1,a2)+~P12(a5,a3,a3)
% 58.71/58.74  [261]P30(a4,a5,a5)+~P15(a4,a2)+~P37(a5,a5,a5)
% 58.71/58.74  [300]P28(a1,a1)+~P37(a1,a1,a1)+~P8(a4,a4,a5)
% 58.71/58.74  [324]P37(a1,a1,a4)+~P12(a4,a2,a3)+~P19(a4,a1,a3)
% 58.71/58.74  [44]~P3(x441)+~P39(x441)+P41(x441)
% 58.71/58.74  [52]~P25(x521)+P14(x521,x521)+~P18(a2)
% 58.71/58.74  [56]~P46(x561)+~P6(x561)+P24(x561,x561)
% 58.71/58.74  [70]~P48(x701)+P20(x701,x701)+~P21(a5,a5)
% 58.71/58.74  [109]~P1(x1091)+P37(x1091,a2,a2)+~P1(a2)
% 58.71/58.74  [113]~P5(x1131)+P37(x1131,x1131,x1131)+~P1(a2)
% 58.71/58.74  [114]~P25(x1141)+P30(x1141,x1141,x1141)+~P5(a5)
% 58.71/58.74  [123]~P1(x1231)+~P4(x1231)+P26(x1231,x1231,x1231)
% 58.71/58.74  [148]P8(x1481,x1481,x1481)+~P15(a2,x1481)+~P41(a4)
% 58.71/58.74  [170]~P23(x1701,a1)+P26(a3,x1701,a2)+~P23(a3,a2)
% 58.71/58.74  [175]P45(x1751)+~P38(a2,x1751,a2)+~P46(a2)
% 58.71/58.74  [182]~P11(x1821,x1821)+P26(x1821,x1821,x1821)+~P10(a3,x1821)
% 58.71/58.74  [203]~P28(x2031,a1)+P24(a1,x2031)+~P8(a1,x2031,a3)
% 58.71/58.74  [228]~P30(x2281,a5,a5)+P22(x2281,a5,a5)+~P25(a5)
% 58.71/58.74  [229]~P22(x2291,a4,a3)+P32(a4,a4,x2291)+~P27(a3)
% 58.71/58.74  [230]~P19(a2,x2301,a5)+P26(a5,a5,x2301)+~P1(a2)
% 58.71/58.74  [233]P22(x2331,a4,x2331)+~P38(x2331,a4,a4)+~P45(a4)
% 58.71/58.74  [283]~P11(x2831,a1)+~P19(a3,x2831,a1)+P30(a3,x2831,a1)
% 58.71/58.74  [326]~P38(x3261,x3261,a2)+~P22(a5,x3261,a5)+P31(a5,a2,a5)
% 58.71/58.74  [328]~P12(x3281,a1,x3281)+P37(a5,x3281,x3281)+~P12(a5,a1,x3281)
% 58.71/58.74  [45]~P13(x451)+P47(x451)+~P40(x452)
% 58.71/58.74  [55]~P2(x551)+P20(x551,x551)+~P48(x552)
% 58.71/58.74  [57]~P18(x572)+~P48(x571)+P34(x571,x572)
% 58.71/58.74  [64]~P5(x641)+P17(x641)+~P35(x642,x642)
% 58.71/58.74  [72]~P15(x721,x721)+P14(x721,x721)+~P45(x722)
% 58.71/58.74  [121]~P2(x1211)+~P3(x1212)+P19(x1211,x1212,x1211)
% 58.71/58.74  [122]~P3(x1221)+~P4(x1222)+P19(x1221,x1222,x1221)
% 58.71/58.74  [124]~P1(x1241)+P29(x1241,x1241,x1241)+~P1(x1242)
% 58.71/58.74  [125]~P4(x1251)+P37(x1251,x1251,x1251)+~P3(x1252)
% 58.71/58.74  [126]~P2(x1261)+P30(x1261,x1261,x1261)+~P39(x1262)
% 58.71/58.74  [150]~P1(x1501)+P37(x1501,x1501,x1502)+~P23(x1502,a1)
% 58.71/58.74  [151]~P5(x1511)+P8(x1511,x1511,x1511)+~P16(x1512,a2)
% 58.71/58.74  [152]~P4(x1522)+P29(x1521,x1521,x1522)+~P11(a1,x1521)
% 58.71/58.74  [153]~P41(x1531)+P22(x1531,x1532,x1531)+~P7(a4,x1532)
% 58.71/58.74  [154]~P45(x1542)+P42(x1541,x1542,x1542)+~P16(a4,x1541)
% 58.71/58.74  [155]~P1(x1551)+~P23(x1551,x1552)+P19(x1551,x1552,x1551)
% 58.71/58.74  [157]~P4(x1571)+~P11(x1572,x1572)+P19(x1571,x1571,x1572)
% 58.71/58.74  [163]~P48(x1632)+~P16(x1631,x1631)+P33(x1631,x1631,x1632)
% 58.71/58.74  [180]~P12(x1802,x1801,x1801)+P13(x1801)+~P13(x1802)
% 58.71/58.74  [187]~P15(x1872,x1871)+P26(x1871,x1871,x1871)+~P11(x1872,x1871)
% 58.71/58.74  [194]~P2(x1941)+~P30(x1941,x1942,x1941)+P14(x1941,x1942)
% 58.71/58.74  [195]~P22(x1951,x1951,x1951)+P28(x1951,x1951)+~P6(x1952)
% 58.71/58.74  [210]~P30(x2102,x2101,x2101)+P36(x2101,x2101)+~P36(x2102,x2101)
% 58.71/58.74  [211]~P28(x2111,x2111)+~P31(x2111,x2112,x2112)+P28(x2111,x2112)
% 58.71/58.74  [212]~P12(x2122,x2121,x2122)+P24(x2121,x2121)+~P24(x2122,x2121)
% 58.71/58.74  [251]~P32(x2511,x2511,x2512)+P33(a2,a2,a2)+~P9(a2)
% 58.71/58.74  [252]P30(x2521,x2521,a1)+~P12(x2522,x2521,a1)+~P39(a3)
% 58.71/58.74  [253]~P29(x2531,x2532,a5)+P30(a5,x2531,x2532)+~P2(a5)
% 58.71/58.74  [254]~P5(x2541)+~P12(x2541,x2542,a5)+P26(x2541,a5,a5)
% 58.71/58.74  [255]~P4(x2552)+~P19(x2551,x2552,a2)+P29(x2551,a2,x2552)
% 58.71/58.74  [267]~P12(x2671,x2671,x2672)+P37(x2671,x2671,x2671)+~P4(x2672)
% 58.71/58.74  [268]~P4(x2682)+~P29(x2681,x2681,x2681)+P38(x2681,x2682,x2682)
% 58.71/58.74  [269]~P26(x2691,x2691,x2692)+P38(x2691,x2691,x2691)+~P5(x2692)
% 58.71/58.74  [271]~P41(x2712)+~P8(x2711,x2712,x2711)+P22(x2711,x2711,x2712)
% 58.71/58.74  [274]~P27(x2741)+P31(x2741,x2741,x2741)+~P30(x2742,x2741,x2741)
% 58.71/58.74  [275]~P2(x2751)+~P42(x2752,x2751,x2752)+P32(x2751,x2751,x2752)
% 58.71/58.74  [289]P29(x2891,x2891,x2891)+~P15(x2891,a2)+~P12(a2,x2892,a2)
% 58.71/58.74  [290]P30(x2901,x2901,x2901)+~P37(x2902,a4,x2902)+~P7(x2901,a4)
% 58.71/58.75  [294]~P23(x2941,x2941)+P30(x2941,x2941,x2941)+~P26(x2942,x2942,x2942)
% 58.71/58.75  [327]~P37(a3,x3272,x3271)+P30(x3271,a5,x3272)+~P26(a5,x3271,a3)
% 58.71/58.75  [330]P42(x3301,x3301,x3301)+~P42(x3301,x3301,x3302)+~P12(a1,x3302,x3301)
% 58.71/58.75  [62]P46(x621)+~P10(x621,x623)+~P46(x622)
% 58.71/58.75  [63]~P1(x631)+P18(x631)+~P15(x632,x633)
% 58.71/58.75  [89]P21(x891,x892)+~P16(x893,x892)+~P44(a3,x891)
% 58.71/58.75  [156]~P2(x1561)+P19(x1561,x1562,x1561)+~P23(x1563,x1562)
% 58.71/58.75  [161]~P27(x1611)+P32(x1611,x1611,x1611)+~P36(x1612,x1613)
% 58.71/58.75  [162]~P46(x1621)+P33(x1621,x1622,x1621)+~P35(x1622,x1623)
% 58.71/58.75  [181]P9(x1811)+~P42(x1813,x1811,x1811)+~P48(x1812)
% 58.71/58.75  [186]~P23(x1861,x1861)+P26(x1861,x1862,x1861)+~P23(x1862,x1863)
% 58.71/58.75  [189]P31(x1891,x1891,x1891)+~P10(x1892,x1891)+~P7(x1893,x1893)
% 58.71/58.75  [196]~P2(x1961)+P20(x1961,x1962)+~P32(x1961,x1963,x1962)
% 58.71/58.75  [208]P14(x2081,x2081)+~P16(x2082,x2082)+~P8(x2083,x2081,x2081)
% 58.71/58.75  [209]~P38(x2093,x2091,x2092)+P36(x2091,x2092)+~P11(x2093,x2091)
% 58.71/58.75  [256]~P3(x2561)+P29(x2561,x2561,x2561)+~P12(x2562,x2563,a2)
% 58.71/58.75  [258]P30(x2581,x2582,x2582)+~P5(x2583)+~P30(a5,x2581,x2582)
% 58.71/58.75  [262]~P12(x2622,x2622,x2621)+P19(x2621,x2622,x2622)+~P3(x2623)
% 58.71/58.75  [263]P26(x2631,x2631,x2631)+~P19(x2632,x2633,x2631)+~P4(x2632)
% 58.71/58.75  [264]~P3(x2641)+P29(x2641,x2641,x2641)+~P12(x2642,x2643,x2641)
% 58.71/58.75  [265]~P19(x2651,x2652,x2652)+P37(x2651,x2651,x2652)+~P2(x2653)
% 58.71/58.75  [270]~P39(x2701)+P8(x2701,x2701,x2701)+~P30(x2702,x2703,x2703)
% 58.71/58.75  [272]~P41(x2722)+~P8(x2722,x2723,x2721)+P31(x2721,x2722,x2723)
% 58.71/58.75  [273]~P5(x2731)+P31(x2731,x2731,x2731)+~P38(x2732,x2733,x2731)
% 58.71/58.75  [293]P19(x2931,x2931,x2931)+~P10(x2932,x2932)+~P19(x2933,x2932,x2931)
% 58.71/58.75  [295]P38(x2951,x2951,x2951)+~P10(x2952,x2951)+~P26(x2952,x2951,x2953)
% 58.71/58.75  [319]P14(x3191,x3191)+~P29(x3191,x3191,x3192)+~P30(x3192,x3193,x3191)
% 58.71/58.75  [329]P30(x3291,x3291,x3291)+~P30(a3,x3292,x3291)+~P19(a3,a3,x3293)
% 58.71/58.75  [333]~P26(x3332,x3331,x3332)+P26(x3331,x3331,x3331)+~P12(x3332,x3332,x3333)
% 58.71/58.75  [335]~P30(x3352,x3351,x3352)+P30(x3351,x3351,x3351)+~P19(x3352,x3353,x3351)
% 58.71/58.75  [336]P30(x3361,x3361,x3361)+~P29(x3361,x3362,x3361)+~P37(x3363,x3363,x3363)
% 58.71/58.75  [337]~P30(x3372,x3372,x3373)+P30(x3371,x3371,x3371)+~P37(x3372,x3373,x3372)
% 58.71/58.75  [338]P8(x3381,x3381,x3381)+~P19(x3381,x3381,x3382)+~P30(x3383,x3382,x3383)
% 58.71/58.75  [340]~P42(x3402,x3402,x3402)+P42(x3401,x3401,x3401)+~P31(x3402,x3401,x3403)
% 58.71/58.75  [342]~P32(x3421,x3423,x3421)+P32(x3421,x3421,x3421)+~P22(x3422,x3423,x3421)
% 58.71/58.75  [188]P37(x1881,x1882,x1881)+~P11(x1883,x1882)+~P23(x1884,x1881)
% 58.71/58.75  [201]P48(x2011)+~P15(x2011,x2012)+~P31(x2013,x2012,x2014)
% 58.71/58.75  [291]~P7(x2912,x2913)+P31(x2911,x2912,x2913)+~P38(x2914,a1,x2911)
% 58.71/58.75  [331]~P19(x3313,x3312,x3311)+P19(x3311,x3312,x3312)+~P19(x3313,x3314,x3312)
% 58.71/58.75  [332]~P12(x3322,x3323,x3321)+P26(x3321,x3321,x3322)+~P12(x3323,x3324,x3324)
% 58.71/58.75  [334]~P29(x3343,x3341,x3344)+P29(x3341,x3342,x3343)+~P12(x3343,x3341,x3344)
% 58.71/58.75  [339]P31(x3391,x3392,x3392)+~P30(x3391,x3392,x3393)+~P22(x3392,x3394,x3393)
% 58.71/58.75  [341]~P42(x3412,x3412,x3411)+P32(x3411,x3412,x3412)+~P32(x3413,x3413,x3414)
% 58.71/58.75  [71]P6(a4)+~P27(a5)+~P11(a4,a1)+~P36(a5,a2)
% 58.71/58.75  [110]P37(a2,a5,a5)+~P1(a5)+~P3(a4)+~P4(a2)
% 58.71/58.75  [184]P14(a1,a4)+~P2(a2)+~P45(a1)+~P8(a3,a4,a3)
% 58.71/58.75  [277]P26(a1,a1,a2)+~P4(a2)+~P10(a2,a5)+~P19(a1,a5,a5)
% 58.71/58.75  [278]P26(a1,a5,a5)+~P2(a2)+~P23(a1,a1)+~P26(a5,a5,a5)
% 58.71/58.75  [279]P38(a1,a3,a3)+~P46(a4)+~P10(a5,a4)+~P38(a1,a4,a3)
% 58.71/58.75  [280]P8(a1,a1,a1)+~P41(a3)+~P16(a5,a2)+~P29(a3,a1,a2)
% 58.71/58.75  [281]P22(a4,a2,a1)+~P18(a1)+~P15(a1,a2)+~P38(a2,a4,a1)
% 58.71/58.75  [130]~P5(x1301)+P29(x1301,x1301,x1301)+~P3(a4)+~P4(a5)
% 58.71/58.75  [131]~P3(x1311)+P8(x1311,x1311,x1311)+~P2(a5)+~P41(a5)
% 58.71/58.75  [296]~P5(x2961)+P37(x2961,x2961,x2961)+~P10(x2961,a2)+~P29(a2,a2,x2961)
% 58.71/58.75  [297]~P2(x2971)+~P16(x2971,x2971)+P42(x2971,a2,x2971)+~P30(a2,x2971,a2)
% 58.71/58.75  [357]P7(x3571,x3571)+~P37(x3571,x3571,a1)+~P19(x3571,a5,x3571)+~P26(a5,a1,x3571)
% 58.71/58.75  [359]~P26(a5,a5,x3591)+~P37(a5,a4,x3591)+~P29(x3591,a2,a2)+P30(a2,a4,a4)
% 58.71/58.75  [61]~P27(x612)+~P48(x611)+P43(x611,x612)+~P4(a2)
% 58.71/58.75  [74]~P5(x741)+~P15(x742,x742)+P15(x741,x741)+~P3(x742)
% 58.71/58.75  [111]~P46(x1111)+~P16(x1112,x1112)+P16(x1111,x1112)+~P11(a5,x1112)
% 58.71/58.75  [166]~P3(x1661)+P26(x1661,x1662,x1661)+~P23(a2,x1662)+~P1(a2)
% 58.71/58.75  [167]~P5(x1672)+~P16(x1672,x1671)+P38(x1671,a4,x1672)+~P3(a4)
% 58.71/58.75  [168]~P3(x1681)+P19(x1681,x1681,x1681)+~P3(x1682)+~P23(x1682,a1)
% 58.71/58.75  [169]~P5(x1692)+~P10(x1691,x1691)+P19(x1691,x1692,x1692)+~P5(a3)
% 58.71/58.75  [179]~P29(a2,x1791,x1792)+P25(a5)+~P2(a5)+~P39(a2)
% 58.71/58.75  [191]~P2(x1911)+~P23(x1912,x1912)+P26(x1911,a1,x1912)+~P15(x1912,a1)
% 58.71/58.75  [202]P39(x2021)+~P10(x2021,x2022)+~P37(a1,x2022,a1)+~P1(a1)
% 58.71/58.75  [205]~P23(x2052,x2051)+~P11(x2052,x2052)+P19(x2051,x2051,a4)+~P15(a4,a4)
% 58.71/58.75  [206]~P23(x2061,x2062)+~P15(x2062,x2062)+P29(x2061,x2061,x2061)+~P11(x2062,x2062)
% 58.71/58.75  [276]~P46(x2761)+P8(x2761,x2761,x2761)+~P45(x2762)+~P38(a1,x2762,a1)
% 58.71/58.75  [292]P37(x2921,x2921,x2921)+~P26(x2922,a1,x2921)+~P1(a2)+~P23(a2,a1)
% 58.71/58.75  [321]~P36(x3211,x3211)+~P42(x3211,a5,x3212)+~P37(a3,a3,x3212)+P6(a5)
% 58.71/58.75  [360]P26(x3601,x3601,x3601)+~P26(x3602,x3601,x3602)+~P19(a4,x3601,x3602)+~P12(a2,x3602,a4)
% 58.71/58.75  [75]~P41(x751)+P36(x751,x751)+~P16(x753,x753)+~P46(x752)
% 58.71/58.75  [76]~P39(x761)+P35(x761,x761)+~P35(x762,x763)+~P13(x762)
% 58.71/58.75  [112]P24(x1121,x1121)+~P23(x1121,x1122)+~P21(x1123,x1123)+~P9(a1)
% 58.71/58.75  [115]~P14(x1153,x1153)+P14(x1151,x1151)+~P15(x1153,x1151)+~P25(x1152)
% 58.71/58.75  [177]~P2(x1771)+~P3(x1772)+P26(x1771,x1772,x1771)+~P23(x1773,x1771)
% 58.71/58.75  [193]~P5(x1931)+~P10(x1932,x1931)+P37(x1931,x1931,x1932)+~P23(x1933,x1933)
% 58.71/58.75  [207]~P28(x2073,x2071)+P32(x2071,x2071,x2071)+~P14(x2072,x2072)+~P36(x2072,x2073)
% 58.71/58.75  [220]~P45(x2201)+~P36(x2202,x2201)+P36(x2201,x2202)+~P26(x2203,x2201,x2202)
% 58.71/58.75  [285]~P3(x2851)+~P37(x2852,x2852,x2853)+P37(x2851,x2852,x2852)+~P4(x2853)
% 58.71/58.75  [287]~P18(x2872)+~P25(x2871)+P22(x2871,x2872,x2872)+~P22(x2873,x2871,x2873)
% 58.71/58.75  [302]~P15(x3023,x3021)+~P26(x3021,x3022,x3021)+P26(x3021,x3022,x3022)+~P3(x3023)
% 58.71/58.75  [307]~P23(x3071,x3071)+P30(x3071,x3071,x3071)+~P30(x3073,x3072,x3071)+~P39(x3072)
% 58.71/58.75  [309]~P41(x3093)+~P7(x3092,x3093)+~P42(x3093,x3091,x3091)+P42(x3091,x3092,x3093)
% 58.71/58.75  [312]P37(x3121,x3121,x3121)+~P23(x3122,x3123)+~P29(x3121,a2,a2)+~P10(a2,a2)
% 58.71/58.75  [317]~P14(x3172,x3171)+P31(x3171,x3171,x3171)+~P15(x3172,x3172)+~P31(x3173,x3173,x3172)
% 58.71/58.75  [318]~P21(x3183,x3182)+~P33(x3181,x3183,x3181)+P33(x3181,x3182,x3182)+~P16(x3181,x3183)
% 58.71/58.75  [320]~P46(x3201)+P24(x3201,x3201)+~P32(x3202,x3201,x3201)+~P32(a2,a2,x3203)
% 58.71/58.75  [325]~P19(x3253,x3252,x3252)+P16(x3251,x3251)+~P23(x3252,x3251)+~P12(x3252,x3251,x3253)
% 58.71/58.75  [343]~P8(x3431,x3432,x3432)+P8(x3431,x3431,x3431)+~P46(x3432)+~P30(x3432,x3433,a5)
% 58.71/58.75  [344]~P5(x3441)+P38(x3441,x3441,x3441)+~P38(x3442,x3442,x3443)+~P26(x3443,a1,x3442)
% 58.71/58.75  [349]~P10(x3491,x3492)+~P19(x3492,a4,x3492)+P19(x3491,a3,x3492)+~P12(a3,x3493,a3)
% 58.71/58.75  [352]~P23(x3521,x3522)+~P30(x3521,x3522,x3521)+P30(x3521,x3522,x3522)+~P26(x3523,x3522,x3523)
% 58.71/58.75  [354]~P29(x3543,x3542,x3541)+~P42(x3541,x3543,x3541)+P42(x3541,x3541,x3541)+~P16(x3542,x3543)
% 58.71/58.75  [355]~P8(x3553,x3552,x3552)+P32(x3551,x3551,x3551)+~P28(x3551,x3552)+~P29(x3552,x3553,x3551)
% 58.71/58.75  [361]~P29(x3611,x3611,x3613)+~P38(x3612,x3613,x3611)+P38(x3611,x3612,x3611)+~P26(x3612,x3611,x3613)
% 58.71/58.75  [88]~P27(x881)+P40(x881)+~P23(x882,x881)+~P36(x883,x884)
% 58.71/58.75  [217]~P12(x2172,x2171,x2174)+P15(x2171,x2172)+~P23(x2174,x2171)+~P2(x2173)
% 58.71/58.75  [218]~P7(x2183,x2182)+P7(x2181,x2182)+~P19(x2184,x2182,x2181)+~P5(x2183)
% 58.71/58.75  [219]P16(x2191,x2191)+~P12(x2194,x2192,x2191)+~P23(x2193,x2193)+~P46(x2192)
% 58.71/58.75  [282]P29(x2821,x2822,x2821)+~P29(x2822,x2824,x2821)+~P3(x2823)+~P1(a2)
% 58.71/58.75  [286]~P29(x2862,x2864,x2861)+P8(x2861,x2861,x2862)+~P18(x2863)+~P18(x2864)
% 58.71/58.75  [303]~P4(x3031)+P26(x3031,x3031,x3031)+~P12(x3034,x3033,x3034)+~P10(x3032,x3033)
% 58.71/58.75  [305]P29(x3051,x3051,x3051)+~P26(x3053,x3054,x3051)+~P11(x3053,x3053)+~P3(x3052)
% 58.71/58.75  [308]~P46(x3082)+P8(x3081,x3082,x3081)+~P30(x3084,x3082,x3083)+~P11(x3081,x3083)
% 58.71/58.75  [311]~P13(x3111)+P32(x3111,x3111,x3111)+~P11(x3111,x3112)+~P32(x3113,x3114,x3113)
% 58.71/58.75  [322]~P45(x3221)+~P38(x3223,x3221,x3223)+P44(x3221,x3222)+~P12(x3223,x3224,x3222)
% 58.71/58.75  [345]~P18(x3452)+P42(x3451,x3451,x3452)+~P42(x3452,x3453,x3453)+~P22(x3454,a2,x3451)
% 58.71/58.75  [353]~P29(x3531,x3533,x3534)+~P30(x3531,x3532,x3531)+P30(x3531,x3532,x3532)+~P15(x3533,x3534)
% 58.71/58.75  [304]P29(x3041,x3041,x3041)+~P19(x3045,x3043,x3041)+~P3(x3042)+~P10(x3043,x3044)
% 58.71/58.75  [306]P29(x3061,x3061,x3061)+~P26(x3063,x3061,x3065)+~P5(x3062)+~P10(x3063,x3064)
% 58.71/58.75  [316]P8(x3161,x3161,x3162)+~P10(x3163,x3162)+~P8(x3162,x3165,x3164)+~P7(x3161,x3164)
% 58.71/58.75  [358]P35(x3581,x3582)+~P38(x3583,x3582,x3581)+~P8(x3584,x3584,x3581)+~P22(x3583,x3585,x3583)
% 58.71/58.75  [301]~P15(a5,a4)+~P16(a5,a2)+P30(a3,a4,a2)+~P39(a5)+~P19(a1,a3,a4)
% 58.71/58.75  [351]P25(a3)+~P5(a4)+~P19(a2,a3,a5)+~P26(a5,a3,a5)+~P37(a4,a3,a1)
% 58.71/58.75  [259]~P2(x2591)+P19(a4,a3,a4)+~P2(a5)+~P4(a5)+~P12(a3,a5,a4)
% 58.71/58.75  [298]~P1(x2981)+~P11(a4,x2981)+~P26(a4,a1,x2981)+P29(a1,a1,x2981)+~P2(a1)
% 58.71/58.75  [313]~P26(a4,x3131,x3131)+~P23(a2,x3131)+P30(a2,a4,a3)+~P2(a5)+~P7(a4,a3)
% 58.71/58.75  [347]~P27(x3471)+~P38(x3471,a1,x3471)+P31(x3471,a1,a5)+~P14(a2,a5)+~P30(a1,a2,a4)
% 58.71/58.75  [348]~P22(a3,x3481,x3481)+~P38(x3481,a5,x3481)+P42(a3,a3,a5)+~P18(a2)+~P7(a3,a3)
% 58.71/58.75  [192]~P23(x1921,x1922)+P19(x1921,x1922,a4)+~P10(x1922,a1)+~P1(a1)+~P2(a4)
% 58.71/58.75  [200]~P5(x2002)+P30(x2001,x2001,x2001)+~P4(x2002)+~P7(x2001,a3)+~P16(a3,x2002)
% 58.71/58.75  [221]~P5(x2211)+P36(x2211,x2211)+~P36(x2212,x2211)+~P12(x2212,a1,x2212)+~P41(a1)
% 58.71/58.75  [73]~P6(x731)+~P47(x732)+P47(x731)+~P44(x731,x733)+~P17(x732)
% 58.71/58.75  [314]~P1(x3141)+~P5(x3141)+~P12(x3143,x3143,x3143)+P26(x3141,x3141,x3141)+~P23(x3142,x3143)
% 58.71/58.75  [323]~P22(x3231,x3233,x3231)+P22(x3231,x3231,x3231)+~P7(x3232,x3233)+~P11(x3233,a3)+~P16(a3,a3)
% 58.71/58.75  [346]P30(x3461,x3461,x3462)+~P30(x3461,x3463,x3461)+~P37(a4,x3461,x3463)+~P1(a5)+~P46(a4)
% 58.71/58.75  [183]~P41(x1831)+P22(x1831,x1831,x1831)+~P1(x1832)+~P10(x1834,x1833)+~P45(x1833)
% 58.71/58.75  [204]~P3(x2041)+~P10(x2042,x2042)+P37(x2041,x2042,x2041)+~P23(x2044,x2041)+~P2(x2043)
% 58.71/58.75  [315]~P45(x3151)+~P8(x3153,x3154,x3153)+P8(x3151,x3151,x3151)+~P18(x3152)+~P15(x3153,x3154)
% 58.71/58.75  [350]~P4(x3502)+~P39(x3502)+~P38(x3502,x3502,x3502)+P38(x3501,x3502,x3501)+~P12(x3503,x3504,x3501)
% 58.71/58.75  [356]~P12(x3563,x3563,x3562)+~P12(x3561,x3564,x3564)+P22(x3561,x3562,x3561)+~P16(x3564,x3561)+~P45(x3563)
% 58.71/58.75  [362]~P26(x3622,x3624,x3624)+~P37(x3623,x3622,x3624)+P37(x3621,x3621,x3621)+~P19(x3621,x3624,x3622)+~P23(x3622,x3623)
% 58.71/58.75  [299]~P32(x2995,x2995,x2992)+P24(x2991,x2992)+~P28(x2991,x2993)+~P35(x2994,x2993)+~P24(x2995,x2992)
% 58.71/58.75  %EqnAxiom
% 58.71/58.75  
% 58.71/58.75  %-------------------------------------------
% 58.84/58.81  cnf(364,plain,
% 58.84/58.81     (P12(x3641,a1,x3642)),
% 58.84/58.81     inference(rename_variables,[],[38])).
% 58.84/58.81  cnf(370,plain,
% 58.84/58.81     (P37(a1,a1,a2)),
% 58.84/58.82     inference(scs_inference,[],[38,1,8,28,2,232,225,123,150])).
% 58.84/58.82  cnf(371,plain,
% 58.84/58.82     (P23(a2,x3711)),
% 58.84/58.82     inference(rename_variables,[],[28])).
% 58.84/58.82  cnf(373,plain,
% 58.84/58.82     (P29(a5,a5,a5)),
% 58.84/58.82     inference(scs_inference,[],[38,1,7,8,28,2,16,232,225,123,150,152])).
% 58.84/58.82  cnf(375,plain,
% 58.84/58.82     (P29(a4,a4,a4)),
% 58.84/58.82     inference(scs_inference,[],[38,364,1,6,7,8,28,2,16,232,225,123,150,152,256])).
% 58.84/58.82  cnf(376,plain,
% 58.84/58.82     (P12(x3761,a1,x3762)),
% 58.84/58.82     inference(rename_variables,[],[38])).
% 58.84/58.82  cnf(386,plain,
% 58.84/58.82     (P30(x3861,x3861,x3861)),
% 58.84/58.82     inference(scs_inference,[],[38,364,376,1,6,7,8,28,2,3,16,232,225,123,150,152,256,328,109,253,337])).
% 58.84/58.82  cnf(388,plain,
% 58.84/58.82     (P26(a4,x3881,a4)),
% 58.84/58.82     inference(scs_inference,[],[38,364,376,1,6,7,8,28,371,2,3,16,232,225,123,150,152,256,328,109,253,337,166])).
% 58.84/58.82  cnf(394,plain,
% 58.84/58.82     (P39(x3941)),
% 58.84/58.82     inference(scs_inference,[],[38,364,376,27,1,6,7,8,28,371,2,3,16,232,225,123,150,152,256,328,109,253,337,166,292,113,202])).
% 58.84/58.82  cnf(404,plain,
% 58.84/58.82     (P45(a1)+~P46(a3)),
% 58.84/58.82     inference(scs_inference,[],[1,41])).
% 58.84/58.82  cnf(407,plain,
% 58.84/58.82     (P6(a4)+~P27(a5)+~P36(a5,a2)),
% 58.84/58.82     inference(scs_inference,[],[23,71])).
% 58.84/58.82  cnf(408,plain,
% 58.84/58.82     (P19(a5,a5,a5)),
% 58.84/58.82     inference(scs_inference,[],[3,79])).
% 58.84/58.82  cnf(409,plain,
% 58.84/58.82     (P19(a4,a4,a4)),
% 58.84/58.82     inference(scs_inference,[],[6,81])).
% 58.84/58.82  cnf(410,plain,
% 58.84/58.82     (P29(a3,a3,a3)),
% 58.84/58.82     inference(scs_inference,[],[5,83])).
% 58.84/58.82  cnf(411,plain,
% 58.84/58.82     (P19(a3,a3,a3)),
% 58.84/58.82     inference(scs_inference,[],[1,5,90])).
% 58.84/58.82  cnf(412,plain,
% 58.84/58.82     (~P1(x4121)+P37(x4121,a2,a2)),
% 58.84/58.82     inference(scs_inference,[],[2,109])).
% 58.84/58.82  cnf(413,plain,
% 58.84/58.82     (P29(x4131,x4131,x4131)+~P1(x4131)),
% 58.84/58.82     inference(scs_inference,[],[1,124])).
% 58.84/58.82  cnf(415,plain,
% 58.84/58.82     (P29(x4151,x4151,x4151)+~P5(x4151)),
% 58.84/58.82     inference(scs_inference,[],[6,7,130])).
% 58.84/58.82  cnf(420,plain,
% 58.84/58.82     (P26(x4201,x4202,x4201)+~P3(x4201)+~P23(a2,x4202)),
% 58.84/58.82     inference(scs_inference,[],[2,166])).
% 58.84/58.82  cnf(421,plain,
% 58.84/58.82     (~P5(x4211)+~P16(x4211,x4212)+P38(x4212,a4,x4211)),
% 58.84/58.82     inference(scs_inference,[],[6,167])).
% 58.84/58.82  cnf(422,plain,
% 58.84/58.82     (~P29(a2,x4221,x4222)+P25(a5)),
% 58.84/58.82     inference(scs_inference,[],[3,394,179])).
% 58.84/58.82  cnf(425,plain,
% 58.84/58.82     (P37(x4251,x4252,x4251)+~P3(x4251)+~P10(x4252,x4252)+~P23(x4253,x4251)),
% 58.84/58.82     inference(scs_inference,[],[4,204])).
% 58.84/58.82  cnf(426,plain,
% 58.84/58.82     (P15(x4261,x4262)+~P23(x4263,x4261)+~P12(x4262,x4261,x4263)),
% 58.84/58.82     inference(scs_inference,[],[4,217])).
% 58.84/58.82  cnf(429,plain,
% 58.84/58.82     (P30(x4291,x4291,a1)+~P12(x4292,x4291,a1)),
% 58.84/58.82     inference(scs_inference,[],[394,252])).
% 58.84/58.82  cnf(430,plain,
% 58.84/58.82     (P30(a5,x4301,x4302)+~P29(x4301,x4302,a5)),
% 58.84/58.82     inference(scs_inference,[],[3,253])).
% 58.84/58.82  cnf(433,plain,
% 58.84/58.82     (P19(x4331,x4332,x4332)+~P12(x4332,x4332,x4331)),
% 58.84/58.82     inference(scs_inference,[],[6,262])).
% 58.84/58.82  cnf(434,plain,
% 58.84/58.82     (P37(x4341,x4341,x4342)+~P19(x4341,x4342,x4342)),
% 58.84/58.82     inference(scs_inference,[],[4,265])).
% 58.84/58.82  cnf(436,plain,
% 58.84/58.82     (P29(x4361,x4362,x4361)+~P29(x4362,x4363,x4361)),
% 58.84/58.82     inference(scs_inference,[],[2,6,282])).
% 58.84/58.82  cnf(438,plain,
% 58.84/58.82     (P37(x4381,x4381,x4381)+~P26(x4382,a1,x4381)),
% 58.84/58.82     inference(scs_inference,[],[2,28,292])).
% 58.84/58.82  cnf(445,plain,
% 58.84/58.82     (~P10(x4451,x4452)+~P19(x4452,a4,x4452)+P19(x4451,a3,x4452)),
% 58.84/58.82     inference(scs_inference,[],[37,349])).
% 58.84/58.82  cnf(448,plain,
% 58.84/58.82     (P19(a5,a2,a2)),
% 58.84/58.82     inference(scs_inference,[],[35,1,413,433])).
% 58.84/58.82  cnf(455,plain,
% 58.84/58.82     (P38(a4,a4,a4)),
% 58.84/58.82     inference(scs_inference,[],[35,388,1,413,433,434,438,231])).
% 58.84/58.82  cnf(460,plain,
% 58.84/58.82     (P12(x4601,a1,x4602)),
% 58.84/58.82     inference(rename_variables,[],[38])).
% 58.84/58.82  cnf(462,plain,
% 58.84/58.82     (P15(a2,a5)),
% 58.84/58.82     inference(scs_inference,[],[32,34,35,38,388,1,26,413,433,434,438,231,232,334,426])).
% 58.84/58.82  cnf(464,plain,
% 58.84/58.82     (P41(a4)),
% 58.84/58.82     inference(scs_inference,[],[32,34,35,38,394,388,1,6,26,413,433,434,438,231,232,334,426,44])).
% 58.84/58.82  cnf(467,plain,
% 58.84/58.82     (P8(a5,a5,a5)),
% 58.84/58.82     inference(scs_inference,[],[32,34,35,38,394,388,1,6,26,413,433,434,438,231,232,334,426,44,148])).
% 58.84/58.82  cnf(473,plain,
% 58.84/58.82     (P29(a2,a2,a2)),
% 58.84/58.82     inference(scs_inference,[],[37,32,34,35,38,460,394,388,8,1,6,17,26,413,433,434,438,231,232,334,426,44,148,328,152])).
% 58.84/58.82  cnf(482,plain,
% 58.84/58.82     (P18(x4821)+~P1(x4821)),
% 58.84/58.82     inference(scs_inference,[],[462,63])).
% 58.84/58.82  cnf(484,plain,
% 58.84/58.82     (P18(a1)),
% 58.84/58.82     inference(scs_inference,[],[1,482])).
% 58.84/58.82  cnf(486,plain,
% 58.84/58.82     (P19(x4861,a1,a1)),
% 58.84/58.82     inference(scs_inference,[],[38,1,482,433])).
% 58.84/58.82  cnf(487,plain,
% 58.84/58.82     (P12(x4871,a1,x4872)),
% 58.84/58.82     inference(rename_variables,[],[38])).
% 58.84/58.82  cnf(489,plain,
% 58.84/58.82     (P26(a5,a5,a2)),
% 58.84/58.82     inference(scs_inference,[],[35,38,1,482,433,232])).
% 58.84/58.82  cnf(491,plain,
% 58.84/58.82     (P37(a3,a3,a3)),
% 58.84/58.82     inference(scs_inference,[],[35,38,1,411,482,433,232,434])).
% 58.84/58.82  cnf(493,plain,
% 58.84/58.82     (P19(a1,a3,a4)),
% 58.84/58.82     inference(scs_inference,[],[35,38,11,1,411,409,482,433,232,434,445])).
% 58.84/58.82  cnf(495,plain,
% 58.84/58.82     (P29(a3,x4951,a3)),
% 58.84/58.82     inference(scs_inference,[],[37,35,38,410,11,1,411,409,482,433,232,434,445,334])).
% 58.84/58.82  cnf(498,plain,
% 58.84/58.82     (P15(a1,x4981)),
% 58.84/58.82     inference(scs_inference,[],[37,35,38,487,410,11,1,411,409,28,482,433,232,434,445,334,426])).
% 58.84/58.82  cnf(502,plain,
% 58.84/58.82     (P29(a4,a4,a2)),
% 58.84/58.82     inference(scs_inference,[],[37,35,38,487,8,410,11,1,411,18,409,28,482,433,232,434,445,334,426,152])).
% 58.84/58.82  cnf(514,plain,
% 58.84/58.82     (P8(x5141,x5141,x5142)+~P18(x5143)+~P29(x5142,x5143,x5141)),
% 58.84/58.82     inference(scs_inference,[],[484,286])).
% 58.84/58.82  cnf(516,plain,
% 58.84/58.82     (P25(a5)),
% 58.84/58.82     inference(scs_inference,[],[473,422])).
% 58.84/58.82  cnf(518,plain,
% 58.84/58.82     (P18(a2)),
% 58.84/58.82     inference(scs_inference,[],[2,482])).
% 58.84/58.82  cnf(524,plain,
% 58.84/58.82     (P29(x5241,x5242,a3)),
% 58.84/58.82     inference(scs_inference,[],[37,473,486,495,2,482,434,514,334])).
% 58.84/58.82  cnf(527,plain,
% 58.84/58.82     (P29(a5,a5,a2)),
% 58.84/58.82     inference(scs_inference,[],[37,8,473,486,495,2,16,482,434,514,334,152])).
% 58.84/58.82  cnf(533,plain,
% 58.84/58.82     (P38(a1,a1,a1)),
% 58.84/58.82     inference(scs_inference,[],[37,8,6,473,486,495,27,2,16,28,482,434,514,334,152,425,231])).
% 58.84/58.82  cnf(541,plain,
% 58.84/58.82     (P14(x5411,x5411)+~P25(x5411)),
% 58.84/58.82     inference(scs_inference,[],[518,52])).
% 58.84/58.82  cnf(542,plain,
% 58.84/58.82     (~P15(x5421,x5422)+~P14(x5421,x5421)+P14(x5422,x5422)),
% 58.84/58.82     inference(scs_inference,[],[516,115])).
% 58.84/58.82  cnf(543,plain,
% 58.84/58.82     (P22(x5431,a5,a5)+~P30(x5431,a5,a5)),
% 58.84/58.82     inference(scs_inference,[],[516,228])).
% 58.84/58.82  cnf(544,plain,
% 58.84/58.82     (~P38(x5441,a5,x5441)+~P22(a3,x5441,x5441)+P42(a3,a3,a5)+~P7(a3,a3)),
% 58.84/58.82     inference(scs_inference,[],[518,348])).
% 58.84/58.82  cnf(547,plain,
% 58.84/58.82     (P22(a5,a5,a5)),
% 58.84/58.82     inference(scs_inference,[],[386,516,541,543])).
% 58.84/58.82  cnf(550,plain,
% 58.84/58.82     (P8(a3,a3,x5501)),
% 58.84/58.82     inference(scs_inference,[],[524,386,484,516,541,543,514])).
% 58.84/58.82  cnf(551,plain,
% 58.84/58.82     (P29(x5511,x5512,a3)),
% 58.84/58.82     inference(rename_variables,[],[524])).
% 58.84/58.82  cnf(553,plain,
% 58.84/58.82     (P29(a1,x5531,x5532)),
% 58.84/58.82     inference(scs_inference,[],[38,524,551,386,484,516,541,543,514,334])).
% 58.84/58.82  cnf(554,plain,
% 58.84/58.82     (P12(x5541,a1,x5542)),
% 58.84/58.82     inference(rename_variables,[],[38])).
% 58.84/58.82  cnf(557,plain,
% 58.84/58.82     (~P45(a4)),
% 58.84/58.82     inference(scs_inference,[],[39,38,554,455,524,551,386,484,516,541,543,514,334,322])).
% 58.84/58.82  cnf(558,plain,
% 58.84/58.82     (P12(x5581,a1,x5582)),
% 58.84/58.82     inference(rename_variables,[],[38])).
% 58.84/58.82  cnf(560,plain,
% 58.84/58.82     (P16(a1,a1)),
% 58.84/58.82     inference(scs_inference,[],[39,38,554,558,455,448,524,551,386,484,516,28,541,543,514,334,322,325])).
% 58.84/58.82  cnf(564,plain,
% 58.84/58.82     (P30(a5,a1,x5641)),
% 58.84/58.82     inference(scs_inference,[],[39,38,554,558,455,448,524,551,386,484,516,28,541,543,514,334,322,325,430])).
% 58.84/58.82  cnf(568,plain,
% 58.84/58.82     (P30(a1,x5681,x5681)+~P5(x5682)),
% 58.84/58.82     inference(scs_inference,[],[39,38,554,558,455,448,524,551,386,484,516,28,541,543,514,334,322,325,430,542,258])).
% 58.84/58.82  cnf(581,plain,
% 58.84/58.82     (P29(a3,x5811,a2)),
% 58.84/58.82     inference(scs_inference,[],[34,524,334])).
% 58.84/58.82  cnf(584,plain,
% 58.84/58.82     (P8(x5841,x5841,a1)),
% 58.84/58.82     inference(scs_inference,[],[34,553,524,518,334,514])).
% 58.84/58.82  cnf(601,plain,
% 58.84/58.82     (P29(a5,x6011,a1)),
% 58.84/58.82     inference(scs_inference,[],[29,553,334])).
% 58.84/58.82  cnf(604,plain,
% 58.84/58.82     (P8(a2,a2,a3)),
% 58.84/58.82     inference(scs_inference,[],[29,581,553,484,334,514])).
% 58.84/58.82  cnf(615,plain,
% 58.84/58.82     (P29(a2,x6151,a4)),
% 58.84/58.82     inference(scs_inference,[],[36,524,334])).
% 58.84/58.82  cnf(618,plain,
% 58.84/58.82     (P8(a1,a1,a5)),
% 58.84/58.82     inference(scs_inference,[],[36,601,524,518,334,514])).
% 58.84/58.82  cnf(636,plain,
% 58.84/58.82     (P8(a4,a4,a2)),
% 58.84/58.82     inference(scs_inference,[],[615,484,514])).
% 58.84/58.82  cnf(652,plain,
% 58.84/58.82     (P22(a1,a1,a1)+~P46(a3)),
% 58.84/58.82     inference(scs_inference,[],[560,38,404,356])).
% 58.84/58.82  cnf(672,plain,
% 58.84/58.82     (P8(a3,a1,a3)+~P46(a1)),
% 58.84/58.82     inference(scs_inference,[],[35,7,486,527,564,21,514,283,426,123,308])).
% 58.84/58.82  cnf(1380,plain,
% 58.84/58.82     (P30(a1,x13801,x13801)),
% 58.84/58.82     inference(scs_inference,[],[17,53,568])).
% 58.84/58.82  cnf(1526,plain,
% 58.84/58.82     (P46(a3)),
% 58.84/58.82     inference(scs_inference,[],[28,13,54,62])).
% 58.84/58.82  cnf(1527,plain,
% 58.84/58.82     (P46(x15271)+~P10(x15271,x15272)),
% 58.84/58.82     inference(scs_inference,[],[1526,62])).
% 58.84/58.82  cnf(1528,plain,
% 58.84/58.82     (P36(x15281,x15281)+~P41(x15281)+~P16(x15282,x15282)),
% 58.84/58.82     inference(scs_inference,[],[1526,75])).
% 58.84/58.82  cnf(1529,plain,
% 58.84/58.82     (P45(a1)),
% 58.84/58.82     inference(scs_inference,[],[1526,404])).
% 58.84/58.82  cnf(1530,plain,
% 58.84/58.82     (P22(a1,a1,a1)),
% 58.84/58.82     inference(scs_inference,[],[1526,652])).
% 58.84/58.82  cnf(1531,plain,
% 58.84/58.82     (P36(a4,a4)),
% 58.84/58.82     inference(scs_inference,[],[560,464,1528])).
% 58.84/58.82  cnf(1533,plain,
% 58.84/58.82     (P16(a3,a3)),
% 58.84/58.82     inference(scs_inference,[],[34,1526,560,28,464,1528,219])).
% 58.84/58.82  cnf(1536,plain,
% 58.84/58.82     (P8(a2,a3,a2)),
% 58.84/58.82     inference(scs_inference,[],[34,1526,560,28,386,464,22,1528,219,308])).
% 58.84/58.82  cnf(1552,plain,
% 58.84/58.82     (P40(x15521)+~P27(x15521)+~P23(x15522,x15521)),
% 58.84/58.82     inference(scs_inference,[],[1531,88])).
% 58.84/58.82  cnf(1553,plain,
% 58.84/58.82     (P32(x15531,x15531,x15531)+~P27(x15531)),
% 58.84/58.82     inference(scs_inference,[],[1531,161])).
% 58.84/58.82  cnf(1554,plain,
% 58.84/58.82     (P22(x15541,x15541,x15541)+~P22(x15541,x15542,x15541)+~P7(x15543,x15542)+~P11(x15542,a3)),
% 58.84/58.82     inference(scs_inference,[],[1533,323])).
% 58.84/58.82  cnf(1598,plain,
% 58.84/58.82     (P8(a5,a3,a5)+~P30(x15981,a3,a5)),
% 58.84/58.82     inference(scs_inference,[],[35,7,486,1526,19,22,123,283,426,1554,308])).
% 58.84/58.82  cnf(1667,plain,
% 58.84/58.82     (P16(a2,a2)),
% 58.84/58.82     inference(scs_inference,[],[35,448,28,325])).
% 58.84/58.82  cnf(1675,plain,
% 58.84/58.82     (P16(a3,a2)),
% 58.84/58.82     inference(scs_inference,[],[35,448,1526,386,28,20,4,325,151,297,111])).
% 58.84/58.82  cnf(1677,plain,
% 58.84/58.82     (P22(a2,a2,a2)),
% 58.84/58.82     inference(scs_inference,[],[35,448,1526,386,28,20,4,325,151,297,111,119])).
% 58.84/58.82  cnf(2137,plain,
% 58.84/58.82     (P7(a5,a5)),
% 58.84/58.82     inference(scs_inference,[],[19,65,58])).
% 58.84/58.82  cnf(2138,plain,
% 58.84/58.82     (P31(a1,a5,a5)),
% 58.84/58.82     inference(scs_inference,[],[533,2137,291])).
% 58.84/58.82  cnf(2491,plain,
% 58.84/58.82     (P24(a1,a1)),
% 58.84/58.82     inference(scs_inference,[],[533,584,1530,67,358])).
% 58.84/58.82  cnf(2867,plain,
% 58.84/58.82     (P38(a2,a2,a2)),
% 58.84/58.82     inference(scs_inference,[],[4,15,97,295])).
% 58.84/58.82  cnf(3091,plain,
% 58.84/58.82     (P29(a2,a2,a5)),
% 58.84/58.82     inference(scs_inference,[],[7,17,152])).
% 58.84/58.82  cnf(3097,plain,
% 58.84/58.82     (P8(a5,a5,a2)),
% 58.84/58.82     inference(scs_inference,[],[34,7,17,518,152,430,426,514])).
% 58.84/58.82  cnf(4055,plain,
% 58.84/58.82     (P7(a2,a2)),
% 58.84/58.82     inference(scs_inference,[],[2,100,190])).
% 58.84/58.82  cnf(4479,plain,
% 58.84/58.82     (P32(a2,a2,a2)),
% 58.84/58.82     inference(scs_inference,[],[518,103,249])).
% 58.84/58.82  cnf(4480,plain,
% 58.84/58.82     (P24(x44801,x44801)+~P32(x44802,x44801,x44801)+~P46(x44801)),
% 58.84/58.82     inference(scs_inference,[],[4479,320])).
% 58.84/58.82  cnf(4481,plain,
% 58.84/58.82     (P24(a3,a3)+~P32(x44811,a3,a3)),
% 58.84/58.82     inference(scs_inference,[],[1526,4480])).
% 58.84/58.82  cnf(6124,plain,
% 58.84/58.82     (P32(x61241,x61241,x61241)),
% 58.84/58.82     inference(scs_inference,[],[1380,173,1553])).
% 58.84/58.82  cnf(6125,plain,
% 58.84/58.82     (P24(a3,a3)),
% 58.84/58.82     inference(scs_inference,[],[6124,4481])).
% 58.84/58.82  cnf(6910,plain,
% 58.84/58.82     (~P5(x69101)+P38(x69101,a5,a5)),
% 58.84/58.82     inference(scs_inference,[],[7,415,268])).
% 58.84/58.82  cnf(8153,plain,
% 58.84/58.82     (P41(a3)),
% 58.84/58.82     inference(scs_inference,[],[5,394,28,420,44])).
% 58.84/58.82  cnf(8225,plain,
% 58.84/58.82     (P31(a3,a3,a1)+~P46(a1)),
% 58.84/58.82     inference(scs_inference,[],[8153,672,272])).
% 58.84/58.82  cnf(10060,plain,
% 58.84/58.82     (~P5(a1)+P35(a5,a5)),
% 58.84/58.82     inference(scs_inference,[],[467,1530,6910,358])).
% 58.84/58.82  cnf(10316,plain,
% 58.84/58.82     (P35(a5,a5)),
% 58.84/58.82     inference(scs_inference,[],[23,10060,53])).
% 58.84/58.82  cnf(10343,plain,
% 58.84/58.82     (P24(x103431,a3)+~P28(x103431,a5)),
% 58.84/58.82     inference(scs_inference,[],[29,498,7,486,10316,6125,6124,4,283,426,123,191,299])).
% 58.84/58.82  cnf(13445,plain,
% 58.84/58.82     (P38(x134451,a2,x134451)),
% 58.84/58.82     inference(scs_inference,[],[8,38,2867,394,350])).
% 58.84/58.82  cnf(14815,plain,
% 58.84/58.82     (~P6(x148151)+P24(a5,a3)),
% 58.84/58.82     inference(scs_inference,[],[547,10343,195])).
% 58.84/58.82  cnf(16624,plain,
% 58.84/58.82     (P8(a2,a2,a4)),
% 58.84/58.82     inference(scs_inference,[],[11,4055,636,316])).
% 58.84/58.82  cnf(17001,plain,
% 58.84/58.82     (P25(a3)),
% 58.84/58.82     inference(scs_inference,[],[22,138,172])).
% 58.84/58.82  cnf(17227,plain,
% 58.84/58.82     (P38(x172271,x172271,x172271)),
% 58.84/58.82     inference(scs_inference,[],[28,139,244])).
% 58.84/58.82  cnf(17588,plain,
% 58.84/58.82     (P7(a4,a4)),
% 58.84/58.82     inference(scs_inference,[],[11,141,190])).
% 58.84/58.82  cnf(17589,plain,
% 58.84/58.82     (P22(a4,a4,a4)),
% 58.84/58.82     inference(scs_inference,[],[464,17588,153])).
% 58.84/58.82  cnf(17771,plain,
% 58.84/58.82     (P7(a3,a3)),
% 58.84/58.82     inference(scs_inference,[],[22,142,190])).
% 58.84/58.82  cnf(17772,plain,
% 58.84/58.82     (~P22(a3,x177721,x177721)+~P38(x177721,a5,x177721)+P42(a3,a3,a5)),
% 58.84/58.82     inference(scs_inference,[],[17771,544])).
% 58.84/58.82  cnf(18122,plain,
% 58.84/58.82     (P35(a2,a2)),
% 58.84/58.82     inference(scs_inference,[],[4055,17227,1677,145,358])).
% 58.84/58.82  cnf(18131,plain,
% 58.84/58.82     (P24(x181311,a1)+~P28(x181311,a2)),
% 58.84/58.82     inference(scs_inference,[],[498,486,7,18122,2491,3,6124,283,123,191,299])).
% 58.84/58.82  cnf(18146,plain,
% 58.84/58.82     (P24(x181461,a3)+~P28(x181461,a2)),
% 58.84/58.82     inference(scs_inference,[],[498,486,7,18122,6125,4,6124,283,123,191,299])).
% 58.84/58.82  cnf(18309,plain,
% 58.84/58.82     (~P6(x183091)+P24(a2,a1)),
% 58.84/58.82     inference(scs_inference,[],[1677,18131,195])).
% 58.84/58.82  cnf(18671,plain,
% 58.84/58.82     (~P6(x186711)+P24(a2,a3)),
% 58.84/58.82     inference(scs_inference,[],[1677,18146,195])).
% 58.84/58.82  cnf(19431,plain,
% 58.84/58.82     (P8(a2,a2,a5)),
% 58.84/58.82     inference(scs_inference,[],[14,17227,17588,4055,3097,291,316])).
% 58.84/58.82  cnf(22382,plain,
% 58.84/58.82     (P27(x223821)+~P26(x223821,a5,a5)),
% 58.84/58.82     inference(scs_inference,[],[223,173])).
% 58.84/58.82  cnf(22937,plain,
% 58.84/58.82     (P27(a3)),
% 58.84/58.82     inference(scs_inference,[],[491,227,173])).
% 58.84/58.82  cnf(22938,plain,
% 58.84/58.82     (P32(a4,a4,x229381)+~P22(x229381,a4,a3)),
% 58.84/58.82     inference(scs_inference,[],[22937,229])).
% 58.84/58.82  cnf(22939,plain,
% 58.84/58.82     (P40(a3)),
% 58.84/58.82     inference(scs_inference,[],[28,22937,1552])).
% 58.84/58.82  cnf(22956,plain,
% 58.84/58.82     (P47(x229561)+~P13(x229561)),
% 58.84/58.82     inference(scs_inference,[],[22939,45])).
% 58.84/58.82  cnf(23131,plain,
% 58.84/58.82     (P30(a2,a5,a2)),
% 58.84/58.82     inference(scs_inference,[],[35,234,241])).
% 58.84/58.82  cnf(23132,plain,
% 58.84/58.82     (P30(a2,a5,a5)),
% 58.84/58.82     inference(scs_inference,[],[388,28,23131,352])).
% 58.84/58.82  cnf(23561,plain,
% 58.84/58.82     (P37(x235611,x235611,x235611)),
% 58.84/58.82     inference(scs_inference,[],[38,236,434])).
% 58.84/58.82  cnf(23940,plain,
% 58.84/58.82     (P38(x239401,a5,x239401)),
% 58.84/58.82     inference(scs_inference,[],[38,17227,7,394,350])).
% 58.84/58.82  cnf(23995,plain,
% 58.84/58.82     (P42(a3,a3,a5)),
% 58.84/58.82     inference(scs_inference,[],[386,23940,247,17772])).
% 58.84/58.82  cnf(24441,plain,
% 58.84/58.82     (P42(a1,a1,a1)),
% 58.84/58.82     inference(scs_inference,[],[38,429,248])).
% 58.84/58.82  cnf(24442,plain,
% 58.84/58.82     (P42(a5,a5,a5)),
% 58.84/58.82     inference(scs_inference,[],[2138,24441,340])).
% 58.84/58.82  cnf(25398,plain,
% 58.84/58.82     (P22(a5,a5,a3)+~P30(x253981,a3,a5)),
% 58.84/58.82     inference(scs_inference,[],[8153,1598,271])).
% 58.84/58.82  cnf(26597,plain,
% 58.84/58.82     (P32(a4,a4,a3)),
% 58.84/58.82     inference(scs_inference,[],[17588,8153,22938,153])).
% 58.84/58.82  cnf(27774,plain,
% 58.84/58.82     (P31(x277741,a5,a5)+~P30(x277741,a5,a3)+~P30(x277742,a3,a5)),
% 58.84/58.82     inference(scs_inference,[],[25398,339])).
% 58.84/58.82  cnf(30921,plain,
% 58.84/58.82     (P30(a4,a2,a4)),
% 58.84/58.82     inference(scs_inference,[],[4,6,121,241])).
% 58.84/58.82  cnf(30922,plain,
% 58.84/58.82     (P30(a4,a2,a2)),
% 58.84/58.82     inference(scs_inference,[],[388,26,30921,352])).
% 58.84/58.82  cnf(31057,plain,
% 58.84/58.82     (P30(a5,a4,a5)),
% 58.84/58.82     inference(scs_inference,[],[6,7,122,241])).
% 58.84/58.82  cnf(31063,plain,
% 58.84/58.82     (P30(a4,a5,a5)+~P5(x310631)),
% 58.84/58.82     inference(scs_inference,[],[486,24442,31057,181,283,258])).
% 58.84/58.82  cnf(31198,plain,
% 58.84/58.82     (P30(a4,a5,a5)),
% 58.84/58.82     inference(scs_inference,[],[16,31063,53])).
% 58.84/58.82  cnf(31199,plain,
% 58.84/58.82     (P22(a4,a5,a5)),
% 58.84/58.82     inference(scs_inference,[],[31198,543])).
% 58.84/58.82  cnf(34560,plain,
% 58.84/58.82     (P30(x345601,a5,x345601)),
% 58.84/58.82     inference(scs_inference,[],[3,28,156,241])).
% 58.84/58.82  cnf(34561,plain,
% 58.84/58.82     (P31(a3,a5,a5)+~P30(x345611,a3,a5)),
% 58.84/58.82     inference(scs_inference,[],[34560,27774])).
% 58.84/58.82  cnf(34698,plain,
% 58.84/58.82     (P48(a2)+~P30(x346981,a3,a5)),
% 58.84/58.82     inference(scs_inference,[],[462,34561,201])).
% 58.84/58.82  cnf(34835,plain,
% 58.84/58.82     (~P37(a5,a3,a5)+P48(a2)),
% 58.84/58.82     inference(scs_inference,[],[34698,227])).
% 58.84/58.82  cnf(34971,plain,
% 58.84/58.82     (P48(a2)),
% 58.84/58.82     inference(scs_inference,[],[22,28,34835,188])).
% 58.84/58.82  cnf(36116,plain,
% 58.84/58.82     (P38(a2,a4,a2)),
% 58.84/58.82     inference(scs_inference,[],[1667,21,421,53])).
% 58.84/58.82  cnf(38247,plain,
% 58.84/58.82     (~P15(a5,a5)+P27(a5)),
% 58.84/58.82     inference(scs_inference,[],[19,187,22382])).
% 58.84/58.82  cnf(38368,plain,
% 58.84/58.82     (P27(a5)),
% 58.84/58.82     inference(scs_inference,[],[19,38247,65])).
% 58.84/58.82  cnf(38369,plain,
% 58.84/58.82     (P6(a4)+~P36(a5,a2)),
% 58.84/58.82     inference(scs_inference,[],[38368,407])).
% 58.84/58.82  cnf(38371,plain,
% 58.84/58.82     (P40(a5)),
% 58.84/58.82     inference(scs_inference,[],[28,38368,1552])).
% 58.84/58.82  cnf(38509,plain,
% 58.84/58.82     (P7(x385091,x385091)),
% 58.84/58.82     inference(scs_inference,[],[23561,190])).
% 58.84/58.82  cnf(38519,plain,
% 58.84/58.82     (P31(a1,x385191,x385191)),
% 58.84/58.82     inference(scs_inference,[],[17227,38509,291])).
% 58.84/58.82  cnf(38540,plain,
% 58.84/58.82     (P25(a2)),
% 58.84/58.82     inference(scs_inference,[],[502,38519,18122,24441,604,17001,38371,249,340,48,67,106,172])).
% 58.84/58.82  cnf(38546,plain,
% 58.84/58.82     (P42(a5,x385461,a5)),
% 58.84/58.82     inference(scs_inference,[],[502,38519,18122,34560,564,24441,604,17001,38371,249,340,48,67,106,172,173,174,248])).
% 58.84/58.82  cnf(38555,plain,
% 58.84/58.82     (P48(a1)),
% 58.84/58.82     inference(scs_inference,[],[17227,375,502,8,498,38519,18122,34560,19,564,24441,604,17001,38371,249,340,48,67,106,172,173,174,248,22956,268,209,201])).
% 58.84/58.82  cnf(38558,plain,
% 58.84/58.82     (P22(a2,a2,a3)),
% 58.84/58.82     inference(scs_inference,[],[17227,375,502,8,498,38519,18122,34560,19,564,8153,24441,604,1536,17001,38371,249,340,48,67,106,172,173,174,248,22956,268,209,201,271])).
% 58.84/58.82  cnf(38562,plain,
% 58.84/58.82     (P40(x385621)),
% 58.84/58.82     inference(scs_inference,[],[17227,375,502,8,498,493,38519,18122,34560,19,564,28,8153,24441,604,1536,17001,38371,249,340,48,67,106,172,173,174,248,22956,268,209,201,271,331,1552])).
% 58.84/58.82  cnf(38579,plain,
% 58.84/58.82     (P25(x385791)),
% 58.84/58.82     inference(scs_inference,[],[553,38562,38540,106,48,172])).
% 58.84/58.82  cnf(38589,plain,
% 58.84/58.82     (P36(a2,a5)),
% 58.84/58.82     inference(scs_inference,[],[13445,553,1533,20,8153,31198,618,38562,550,38540,38555,106,48,172,249,248,272,163,209])).
% 58.84/58.82  cnf(38594,plain,
% 58.84/58.82     (P31(a5,a1,a1)),
% 58.84/58.82     inference(scs_inference,[],[13445,553,23995,1533,1530,564,20,8153,31198,618,38562,550,38540,38555,26597,106,48,172,249,248,272,163,209,341,339])).
% 58.84/58.82  cnf(38597,plain,
% 58.84/58.82     (P38(a5,a2,a2)),
% 58.84/58.82     inference(scs_inference,[],[13445,373,8,553,23995,1533,1530,564,20,8153,31198,618,38562,550,38540,38555,26597,106,48,172,249,248,272,163,209,341,339,268])).
% 58.84/58.82  cnf(38630,plain,
% 58.84/58.82     (P31(a5,a4,a4)),
% 58.84/58.82     inference(scs_inference,[],[38597,3091,23995,1667,464,20,31057,1380,16624,31199,38579,636,38555,26597,436,106,248,249,272,209,163,341,339])).
% 58.84/58.82  cnf(38645,plain,
% 58.84/58.82     (P29(x386451,a1,x386451)),
% 58.84/58.82     inference(scs_inference,[],[553,436])).
% 58.84/58.82  cnf(38662,plain,
% 58.84/58.82     (P31(x386621,a2,a2)+~P30(x386621,a2,a3)),
% 58.84/58.82     inference(scs_inference,[],[36116,8,553,23995,560,23132,38558,19431,34971,26597,436,248,249,341,163,268,272,209,339])).
% 58.84/58.82  cnf(38676,plain,
% 58.84/58.82     (P32(a3,x386761,a3)),
% 58.84/58.82     inference(scs_inference,[],[38645,550,30922,436,248,249])).
% 58.84/58.82  cnf(38700,plain,
% 58.84/58.82     (P32(x387001,a1,x387001)),
% 58.84/58.82     inference(scs_inference,[],[584,249])).
% 58.84/58.82  cnf(42862,plain,
% 58.84/58.82     (P22(a2,x428621,a2)),
% 58.84/58.82     inference(scs_inference,[],[38,1529,34,36116,7,498,8,6,486,1675,370,560,23995,604,26597,34971,3,249,163,341,285,209,283,123,191,356])).
% 58.84/58.82  cnf(42999,plain,
% 58.84/58.82     (~P19(a2,a3,a2)+P31(a3,a2,a2)),
% 58.84/58.82     inference(scs_inference,[],[38662,241])).
% 58.84/58.82  cnf(45520,plain,
% 58.84/58.82     (P28(a3,a2)+~P28(a3,a3)+~P19(a2,a3,a2)),
% 58.84/58.82     inference(scs_inference,[],[42999,211])).
% 58.84/58.82  cnf(46870,plain,
% 58.84/58.82     (P31(a4,a2,a2)),
% 58.84/58.82     inference(scs_inference,[],[42862,1667,23995,16624,30922,38700,38555,249,163,341,339])).
% 58.84/58.82  cnf(57732,plain,
% 58.84/58.82     (P26(a5,a5,a5)),
% 58.84/58.82     inference(scs_inference,[],[408,7,604,249,263])).
% 58.84/58.82  cnf(64205,plain,
% 58.84/58.82     (~P26(a5,a5,a2)+~P45(a5)+P6(a4)),
% 58.84/58.82     inference(scs_inference,[],[38589,489,220,38369])).
% 58.84/58.82  cnf(64215,plain,
% 58.84/58.82     (~P45(a5)+P6(a4)),
% 58.84/58.82     inference(scs_inference,[],[8,6,370,489,23995,560,636,34971,38676,249,163,341,285,64205])).
% 58.84/58.82  cnf(64514,plain,
% 58.84/58.82     (P6(a4)+~P46(a2)),
% 58.84/58.82     inference(scs_inference,[],[23940,64215,175])).
% 58.84/58.82  cnf(65440,plain,
% 58.84/58.82     (~P29(a5,a2,a2)+~P26(a5,a5,a5)+P30(a2,a4,a4)),
% 58.84/58.82     inference(scs_inference,[],[57732,18,28,359,188])).
% 58.84/58.82  cnf(65462,plain,
% 58.84/58.82     (~P29(a5,a2,a2)+P30(a2,a4,a4)),
% 58.84/58.82     inference(scs_inference,[],[57732,65440])).
% 58.84/58.82  cnf(65729,plain,
% 58.84/58.82     (P30(a2,a4,a4)),
% 58.84/58.82     inference(scs_inference,[],[448,8,65462,255])).
% 58.84/58.82  cnf(101751,plain,
% 58.84/58.82     (P28(a4,a2)+~P28(a4,a4)),
% 58.84/58.82     inference(scs_inference,[],[8,6,370,23995,560,564,618,46870,6124,34971,249,163,341,285,245,211])).
% 58.84/58.82  cnf(101776,plain,
% 58.84/58.82     (P28(a5,a1)+~P28(a5,a5)),
% 58.84/58.82     inference(scs_inference,[],[8,6,370,23995,1533,618,65729,38594,38700,38555,245,249,341,163,285,211])).
% 58.84/58.82  cnf(101815,plain,
% 58.84/58.82     (P28(a5,a4)+~P28(a5,a5)),
% 58.84/58.82     inference(scs_inference,[],[8,6,370,23995,1533,618,38630,31198,26597,38555,245,249,341,163,285,211])).
% 58.84/58.82  cnf(101868,plain,
% 58.84/58.82     (~P6(x1018681)+P28(a4,a2)),
% 58.84/58.82     inference(scs_inference,[],[17589,101751,195])).
% 58.84/58.82  cnf(102441,plain,
% 58.84/58.82     (~P6(x1024411)+P28(a5,a1)),
% 58.84/58.82     inference(scs_inference,[],[547,101776,195])).
% 58.84/58.82  cnf(103541,plain,
% 58.84/58.82     (P28(a5,a4)+~P6(x1035411)),
% 58.84/58.82     inference(scs_inference,[],[547,101815,195])).
% 58.84/58.82  cnf(103562,plain,
% 58.84/58.82     (P46(a2)),
% 58.84/58.82     inference(scs_inference,[],[21,28,53,54])).
% 58.84/58.82  cnf(103563,plain,
% 58.84/58.82     (P23(a2,x1035631)),
% 58.84/58.82     inference(rename_variables,[],[28])).
% 58.84/58.82  cnf(103569,plain,
% 58.84/58.82     (P22(x1035691,x1035691,x1035691)),
% 58.84/58.82     inference(scs_inference,[],[10,21,38579,28,53,54,1527,65,105])).
% 58.84/58.82  cnf(103571,plain,
% 58.84/58.82     (P6(a4)),
% 58.84/58.82     inference(scs_inference,[],[38546,10,21,38579,28,53,54,1527,65,105,64514])).
% 58.84/58.82  cnf(103591,plain,
% 58.84/58.82     (P12(x1035911,a1,x1035912)),
% 58.84/58.82     inference(rename_variables,[],[38])).
% 58.84/58.82  cnf(103605,plain,
% 58.84/58.82     (P19(a2,x1036051,a2)),
% 58.84/58.82     inference(scs_inference,[],[38546,10,462,1,21,5,38579,26,2,38,103591,28,103563,8,4,53,54,1527,65,105,64514,136,140,144,14815,18309,18671,101868,102441,103541,234,412,226,8225,241,121,122,155])).
% 58.84/58.82  cnf(103688,plain,
% 58.84/58.82     (P45(x1036881)+~P38(a2,x1036881,a2)),
% 58.84/58.82     inference(scs_inference,[],[103562,175])).
% 58.84/58.82  cnf(103689,plain,
% 58.84/58.82     (P28(x1036891,x1036891)+~P22(x1036891,x1036891,x1036891)),
% 58.84/58.82     inference(scs_inference,[],[103571,195])).
% 58.84/58.82  cnf(103701,plain,
% 58.84/58.82     (~P28(a3,a3)+P28(a3,a2)),
% 58.84/58.82     inference(scs_inference,[],[103605,45520])).
% 58.84/58.82  cnf(103710,plain,
% 58.84/58.82     (P28(x1037101,x1037101)),
% 58.84/58.82     inference(scs_inference,[],[103569,103689])).
% 58.84/58.82  cnf(103806,plain,
% 58.84/58.82     ($false),
% 58.84/58.82     inference(scs_inference,[],[103710,557,36116,103701,103688]),
% 58.84/58.82     ['proof']).
% 58.84/58.87  % SZS output end Proof
% 58.84/58.87  % Total time :58.060000s
%------------------------------------------------------------------------------