TSTP Solution File: SYN240-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN240-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 01:44:49 EDT 2023
% Result : Unsatisfiable 0.20s 0.72s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN240-1 : TPTP v8.1.2. Released v1.1.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n017.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 20:43:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.60 start to proof:theBenchmark
% 0.20/0.71 %-------------------------------------------
% 0.20/0.71 % File :CSE---1.6
% 0.20/0.71 % Problem :theBenchmark
% 0.20/0.71 % Transform :cnf
% 0.20/0.71 % Format :tptp:raw
% 0.20/0.71 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.71
% 0.20/0.71 % Result :Theorem 0.010000s
% 0.20/0.71 % Output :CNFRefutation 0.010000s
% 0.20/0.71 %-------------------------------------------
% 0.20/0.72 %--------------------------------------------------------------------------
% 0.20/0.72 % File : SYN240-1 : TPTP v8.1.2. Released v1.1.0.
% 0.20/0.72 % Domain : Syntactic (Random Prolog Theory)
% 0.20/0.72 % Problem : RPT63 synthetic problem 25 (skewed distribution)
% 0.20/0.72 % Version : [SE94] axioms : Especial.
% 0.20/0.72 % English :
% 0.20/0.72
% 0.20/0.72 % Refs : [SE94] Segre & Elkan (1994), A High-Performance Explanation-B
% 0.20/0.72 % Source : [SE94]
% 0.20/0.72 % Names : - [SE94]
% 0.20/0.72
% 0.20/0.72 % Status : Unsatisfiable
% 0.20/0.72 % 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 v2.0.0
% 0.20/0.72 % Syntax : Number of clauses : 369 ( 39 unt; 0 nHn; 362 RR)
% 0.20/0.72 % Number of literals : 1060 ( 0 equ; 692 neg)
% 0.20/0.72 % Maximal clause size : 5 ( 2 avg)
% 0.20/0.72 % Maximal term depth : 1 ( 1 avg)
% 0.20/0.72 % Number of predicates : 48 ( 48 usr; 0 prp; 1-3 aty)
% 0.20/0.72 % Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% 0.20/0.72 % Number of variables : 627 ( 161 sgn)
% 0.20/0.72 % SPC : CNF_UNS_EPR_NEQ_HRN
% 0.20/0.72
% 0.20/0.72 % Comments : This theory has a finite deductive closure.
% 0.20/0.72 %--------------------------------------------------------------------------
% 0.20/0.72 %----Include Synthetic domain theory for EBL
% 0.20/0.72 include('Axioms/SYN001-0.ax').
% 0.20/0.72 %--------------------------------------------------------------------------
% 0.20/0.72 cnf(prove_this,negated_conjecture,
% 0.20/0.72 ~ m1(X,e,e) ).
% 0.20/0.72
% 0.20/0.72 %--------------------------------------------------------------------------
% 0.20/0.72 %-------------------------------------------
% 0.20/0.72 % Proof found
% 0.20/0.72 % SZS status Theorem for theBenchmark
% 0.20/0.72 % SZS output start Proof
% 0.20/0.72 %ClaNum:362(EqnAxiom:0)
% 0.20/0.72 %VarNum:1494(SingletonVarNum:574)
% 0.20/0.72 %MaxLitNum:5
% 0.20/0.72 %MaxfuncDepth:0
% 0.20/0.72 %SharedTerms:200
% 0.20/0.72 %goalClause: 39
% 0.20/0.72 %singleGoalClaCount:1
% 0.20/0.72 [1]P1(a1)
% 0.20/0.72 [2]P1(a2)
% 0.20/0.72 [3]P2(a5)
% 0.20/0.72 [4]P2(a2)
% 0.20/0.72 [5]P3(a3)
% 0.20/0.72 [6]P3(a4)
% 0.20/0.72 [7]P4(a5)
% 0.20/0.72 [8]P4(a2)
% 0.20/0.72 [10]P10(a1,a2)
% 0.20/0.72 [11]P10(a1,a4)
% 0.20/0.72 [13]P10(a3,a2)
% 0.20/0.72 [14]P10(a2,a5)
% 0.20/0.72 [15]P10(a2,a2)
% 0.20/0.72 [16]P11(a1,a5)
% 0.20/0.72 [17]P11(a1,a2)
% 0.20/0.72 [18]P11(a1,a4)
% 0.20/0.72 [19]P11(a5,a5)
% 0.20/0.72 [20]P11(a5,a2)
% 0.20/0.72 [21]P11(a3,a2)
% 0.20/0.72 [22]P11(a2,a3)
% 0.20/0.72 [23]P11(a4,a1)
% 0.20/0.72 [26]P23(a4,a2)
% 0.20/0.72 [29]P12(a1,a5,a4)
% 0.20/0.72 [32]P12(a5,a2,a4)
% 0.20/0.72 [33]P12(a3,a5,a5)
% 0.20/0.72 [34]P12(a2,a3,a3)
% 0.20/0.72 [35]P12(a2,a2,a5)
% 0.20/0.72 [36]P12(a4,a2,a3)
% 0.20/0.72 [27]P10(x271,a1)
% 0.20/0.72 [28]P23(a2,x281)
% 0.20/0.72 [37]P12(a3,x371,a3)
% 0.20/0.72 [39]~P18(x391,a5,a5)
% 0.20/0.72 [38]P12(x381,a1,x382)
% 0.20/0.72 [40]P19(a2)+~P5(a2)
% 0.20/0.72 [43]P34(a3,a3)+~P40(a3)
% 0.20/0.72 [58]P7(a5,a5)+~P15(a5,a5)
% 0.20/0.72 [59]P14(a1,a1)+~P7(a3,a1)
% 0.20/0.72 [60]P14(a4,a4)+~P7(a2,a4)
% 0.20/0.72 [79]P18(a5,a5,a5)+~P2(a5)
% 0.20/0.72 [80]P18(a2,a2,a2)+~P3(a2)
% 0.20/0.72 [81]P18(a4,a4,a4)+~P3(a4)
% 0.20/0.72 [82]P26(a4,a4,a4)+~P3(a4)
% 0.20/0.72 [83]P29(a3,a3,a3)+~P3(a3)
% 0.20/0.72 [85]P37(a2,a2,a2)+~P3(a2)
% 0.20/0.72 [86]P8(a3,a3,a3)+~P41(a3)
% 0.20/0.72 [87]P8(a4,a4,a4)+~P41(a4)
% 0.20/0.72 [116]P26(a1,a1,a1)+~P10(a1,a1)
% 0.20/0.72 [119]P22(a2,a2,a2)+~P16(a3,a2)
% 0.20/0.72 [120]P31(a2,a4,a2)+~P7(a4,a2)
% 0.20/0.72 [171]P24(a1,a1)+~P32(a4,a1,a4)
% 0.20/0.72 [213]P29(a4,a5,a2)+~P12(a2,a4,a5)
% 0.20/0.72 [214]P30(a1,a2,a2)+~P29(a1,a2,a5)
% 0.20/0.72 [215]P30(a3,a3,a3)+~P29(a5,a5,a3)
% 0.20/0.72 [216]P22(a2,a2,a2)+~P38(a3,a2,a3)
% 0.20/0.72 [46]~P41(x461)+P14(x461,x461)
% 0.20/0.72 [47]~P6(x471)+P20(x471,x471)
% 0.20/0.72 [48]~P40(x481)+P24(x481,x481)
% 0.20/0.72 [49]~P13(x491)+P34(x491,x491)
% 0.20/0.72 [50]~P6(x501)+P43(x501,x501)
% 0.20/0.72 [54]~P23(x541,x541)+P45(x541)
% 0.20/0.72 [68]~P21(x681,x681)+P34(x681,x681)
% 0.20/0.72 [69]~P35(x691,x691)+P34(x691,x691)
% 0.20/0.72 [96]~P1(x961)+P18(x961,x961,x961)
% 0.20/0.72 [97]~P2(x971)+P26(x971,x971,x971)
% 0.20/0.72 [98]~P4(x981)+P29(x981,x981,x981)
% 0.20/0.72 [100]~P1(x1001)+P37(x1001,x1001,x1001)
% 0.20/0.72 [101]~P2(x1011)+P37(x1011,x1011,x1011)
% 0.20/0.72 [102]~P5(x1021)+P30(x1021,x1021,x1021)
% 0.20/0.72 [103]~P19(x1031)+P8(x1031,x1031,x1031)
% 0.20/0.72 [104]~P25(x1041)+P8(x1041,x1041,x1041)
% 0.20/0.72 [105]~P25(x1051)+P22(x1051,x1051,x1051)
% 0.20/0.72 [106]~P25(x1061)+P31(x1061,x1061,x1061)
% 0.20/0.72 [107]~P41(x1071)+P42(x1071,x1071,x1071)
% 0.20/0.72 [108]~P44(x1081)+P42(x1081,x1081,x1081)
% 0.20/0.72 [134]P30(x1341,x1341,x1341)+~P15(x1341,a1)
% 0.20/0.72 [146]~P16(x1461,x1461)+P31(x1461,x1461,x1461)
% 0.20/0.72 [223]P30(x2231,a5,x2231)+~P26(x2231,a5,a5)
% 0.20/0.72 [224]P37(x2241,x2241,x2241)+~P12(x2241,a4,a2)
% 0.20/0.72 [225]P30(x2251,x2251,x2251)+~P26(a1,a1,x2251)
% 0.20/0.72 [227]~P37(x2271,a3,x2271)+P30(x2271,a3,x2271)
% 0.20/0.72 [243]~P37(x2431,x2431,x2431)+P30(x2431,x2431,x2431)
% 0.20/0.72 [244]~P29(x2441,x2441,x2441)+P38(x2441,x2441,x2441)
% 0.20/0.72 [247]~P30(x2471,x2471,x2471)+P22(x2471,x2471,x2471)
% 0.20/0.72 [53]P5(x531)+~P11(x532,x531)
% 0.20/0.72 [65]P15(x651,x651)+~P11(x652,x651)
% 0.20/0.72 [66]P24(x661,x661)+~P28(x662,x661)
% 0.20/0.72 [67]P24(x671,x671)+~P35(x672,x671)
% 0.20/0.72 [135]P18(x1351,x1351,x1351)+~P10(x1352,x1351)
% 0.20/0.72 [136]~P23(x1362,x1361)+P29(x1361,x1361,x1362)
% 0.20/0.72 [137]P29(x1371,x1371,x1371)+~P10(x1372,x1371)
% 0.20/0.72 [138]P29(x1381,x1381,x1381)+~P11(x1382,x1381)
% 0.20/0.72 [139]P29(x1391,x1391,x1391)+~P23(x1392,x1391)
% 0.20/0.72 [140]~P23(x1402,x1401)+P37(x1401,x1402,x1402)
% 0.20/0.72 [141]P37(x1411,x1411,x1411)+~P10(x1412,x1411)
% 0.20/0.72 [142]P37(x1421,x1421,x1421)+~P11(x1422,x1421)
% 0.20/0.72 [143]P30(x1431,x1431,x1431)+~P15(x1432,x1431)
% 0.20/0.72 [144]~P15(x1442,x1441)+P38(x1441,x1441,x1442)
% 0.20/0.72 [145]~P7(x1452,x1451)+P8(x1451,x1451,x1452)
% 0.20/0.72 [147]P42(x1471,x1471,x1471)+~P16(x1472,x1471)
% 0.20/0.72 [190]P7(x1901,x1901)+~P37(x1902,x1901,x1901)
% 0.20/0.72 [226]P26(x2261,a4,x2261)+~P12(x2262,x2261,a4)
% 0.20/0.72 [231]P38(x2311,x2311,x2311)+~P37(x2312,a4,x2311)
% 0.20/0.72 [232]P26(x2321,x2321,x2322)+~P12(a2,x2322,x2321)
% 0.20/0.72 [234]~P12(x2342,x2342,x2341)+P18(x2341,x2342,x2341)
% 0.20/0.72 [241]~P18(x2412,x2411,x2412)+P30(x2411,x2412,x2411)
% 0.20/0.72 [242]P30(x2421,x2421,x2421)+~P18(x2422,x2422,x2421)
% 0.20/0.72 [245]~P30(x2452,x2451,x2451)+P8(x2451,x2452,x2451)
% 0.20/0.72 [246]P8(x2461,x2461,x2461)+~P30(x2462,x2461,x2461)
% 0.20/0.72 [249]~P8(x2491,x2491,x2492)+P32(x2491,x2492,x2491)
% 0.20/0.72 [250]P32(x2501,x2501,x2501)+~P31(x2502,x2502,x2501)
% 0.20/0.72 [172]P25(x1721)+~P29(x1722,x1723,x1721)
% 0.20/0.72 [173]P27(x1731)+~P30(x1732,x1733,x1731)
% 0.20/0.72 [174]P13(x1741)+~P31(x1742,x1743,x1741)
% 0.20/0.73 [236]P18(x2361,x2361,x2361)+~P12(x2362,x2363,x2361)
% 0.20/0.73 [239]P37(x2391,x2391,x2391)+~P12(x2392,x2393,x2391)
% 0.20/0.73 [248]P42(x2481,x2482,x2481)+~P30(x2481,x2483,x2482)
% 0.20/0.73 [41]P44(a1)+~P1(a1)+~P45(a3)
% 0.20/0.73 [42]P44(a1)+~P39(a1)+~P45(a1)
% 0.20/0.73 [51]P25(a4)+~P4(a2)+~P15(a5,a4)
% 0.20/0.73 [90]P18(a3,a3,a3)+~P1(a1)+~P3(a3)
% 0.20/0.73 [132]~P15(a5,a4)+P30(a5,a4,a4)+~P39(a1)
% 0.20/0.73 [133]P8(a4,a4,a4)+~P44(a5)+~P7(a4,a5)
% 0.20/0.73 [164]P18(a2,a2,a2)+~P10(a4,a1)+~P15(a3,a2)
% 0.20/0.73 [165]P9(a2)+~P47(a5)+~P26(a2,a2,a2)
% 0.20/0.73 [197]P28(a5,a5)+~P14(a2,a3)+~P31(a2,a5,a3)
% 0.20/0.73 [198]P35(a2,a2)+~P15(a2,a4)+~P8(a4,a5,a2)
% 0.20/0.73 [199]P24(a2,a5)+~P28(a2,a5)+~P42(a1,a2,a4)
% 0.20/0.73 [222]P29(a3,a2,a3)+~P2(a2)+~P29(a3,a3,a3)
% 0.20/0.73 [260]P29(a1,a1,a2)+~P23(a1,a2)+~P12(a5,a3,a3)
% 0.20/0.73 [261]P30(a4,a5,a5)+~P15(a4,a2)+~P37(a5,a5,a5)
% 0.20/0.73 [300]P28(a1,a1)+~P37(a1,a1,a1)+~P8(a4,a4,a5)
% 0.20/0.73 [324]P37(a1,a1,a4)+~P12(a4,a2,a3)+~P18(a4,a1,a3)
% 0.20/0.73 [44]~P3(x441)+~P39(x441)+P41(x441)
% 0.20/0.73 [52]~P25(x521)+P14(x521,x521)+~P19(a2)
% 0.20/0.73 [56]~P45(x561)+~P6(x561)+P24(x561,x561)
% 0.20/0.73 [70]~P47(x701)+P20(x701,x701)+~P21(a5,a5)
% 0.20/0.73 [109]~P1(x1091)+P37(x1091,a2,a2)+~P1(a2)
% 0.20/0.73 [113]~P5(x1131)+P37(x1131,x1131,x1131)+~P1(a2)
% 0.20/0.73 [114]~P25(x1141)+P30(x1141,x1141,x1141)+~P5(a5)
% 0.20/0.73 [123]~P1(x1231)+~P4(x1231)+P26(x1231,x1231,x1231)
% 0.20/0.73 [148]P8(x1481,x1481,x1481)+~P15(a2,x1481)+~P41(a4)
% 0.20/0.73 [170]~P23(x1701,a1)+P26(a3,x1701,a2)+~P23(a3,a2)
% 0.20/0.73 [175]P44(x1751)+~P38(a2,x1751,a2)+~P45(a2)
% 0.20/0.73 [182]~P11(x1821,x1821)+P26(x1821,x1821,x1821)+~P10(a3,x1821)
% 0.20/0.73 [203]~P28(x2031,a1)+P24(a1,x2031)+~P8(a1,x2031,a3)
% 0.20/0.73 [228]~P30(x2281,a5,a5)+P22(x2281,a5,a5)+~P25(a5)
% 0.20/0.73 [229]~P22(x2291,a4,a3)+P32(a4,a4,x2291)+~P27(a3)
% 0.20/0.73 [230]~P18(a2,x2301,a5)+P26(a5,a5,x2301)+~P1(a2)
% 0.20/0.73 [233]P22(x2331,a4,x2331)+~P38(x2331,a4,a4)+~P44(a4)
% 0.20/0.73 [283]~P11(x2831,a1)+~P18(a3,x2831,a1)+P30(a3,x2831,a1)
% 0.20/0.73 [326]~P38(x3261,x3261,a2)+~P22(a5,x3261,a5)+P31(a5,a2,a5)
% 0.20/0.73 [328]~P12(x3281,a1,x3281)+P37(a5,x3281,x3281)+~P12(a5,a1,x3281)
% 0.20/0.73 [45]~P13(x451)+P46(x451)+~P40(x452)
% 0.20/0.73 [55]~P2(x551)+P20(x551,x551)+~P47(x552)
% 0.20/0.73 [57]~P19(x572)+~P47(x571)+P34(x571,x572)
% 0.20/0.73 [64]~P5(x641)+P17(x641)+~P35(x642,x642)
% 0.20/0.73 [72]~P15(x721,x721)+P14(x721,x721)+~P44(x722)
% 0.20/0.73 [121]~P2(x1211)+~P3(x1212)+P18(x1211,x1212,x1211)
% 0.20/0.73 [122]~P3(x1221)+~P4(x1222)+P18(x1221,x1222,x1221)
% 0.20/0.73 [124]~P1(x1241)+P29(x1241,x1241,x1241)+~P1(x1242)
% 0.20/0.73 [125]~P4(x1251)+P37(x1251,x1251,x1251)+~P3(x1252)
% 0.20/0.73 [126]~P2(x1261)+P30(x1261,x1261,x1261)+~P39(x1262)
% 0.20/0.73 [150]~P1(x1501)+P37(x1501,x1501,x1502)+~P23(x1502,a1)
% 0.20/0.73 [151]~P5(x1511)+P8(x1511,x1511,x1511)+~P16(x1512,a2)
% 0.20/0.73 [152]~P4(x1522)+P29(x1521,x1521,x1522)+~P11(a1,x1521)
% 0.20/0.73 [153]~P41(x1531)+P22(x1531,x1532,x1531)+~P7(a4,x1532)
% 0.20/0.73 [154]~P44(x1542)+P42(x1541,x1542,x1542)+~P16(a4,x1541)
% 0.20/0.73 [155]~P1(x1551)+~P23(x1551,x1552)+P18(x1551,x1552,x1551)
% 0.20/0.73 [157]~P4(x1571)+~P11(x1572,x1572)+P18(x1571,x1571,x1572)
% 0.20/0.73 [163]~P47(x1632)+~P16(x1631,x1631)+P33(x1631,x1631,x1632)
% 0.20/0.73 [180]~P12(x1802,x1801,x1801)+P13(x1801)+~P13(x1802)
% 0.20/0.73 [187]~P15(x1872,x1871)+P26(x1871,x1871,x1871)+~P11(x1872,x1871)
% 0.20/0.73 [194]~P2(x1941)+~P30(x1941,x1942,x1941)+P14(x1941,x1942)
% 0.20/0.73 [195]~P22(x1951,x1951,x1951)+P28(x1951,x1951)+~P6(x1952)
% 0.20/0.73 [210]~P30(x2102,x2101,x2101)+P36(x2101,x2101)+~P36(x2102,x2101)
% 0.20/0.73 [211]~P28(x2111,x2111)+~P31(x2111,x2112,x2112)+P28(x2111,x2112)
% 0.20/0.73 [212]~P12(x2122,x2121,x2122)+P24(x2121,x2121)+~P24(x2122,x2121)
% 0.20/0.73 [251]~P32(x2511,x2511,x2512)+P33(a2,a2,a2)+~P9(a2)
% 0.20/0.73 [252]P30(x2521,x2521,a1)+~P12(x2522,x2521,a1)+~P39(a3)
% 0.20/0.73 [253]~P29(x2531,x2532,a5)+P30(a5,x2531,x2532)+~P2(a5)
% 0.20/0.73 [254]~P5(x2541)+~P12(x2541,x2542,a5)+P26(x2541,a5,a5)
% 0.20/0.73 [255]~P4(x2552)+~P18(x2551,x2552,a2)+P29(x2551,a2,x2552)
% 0.20/0.73 [267]~P12(x2671,x2671,x2672)+P37(x2671,x2671,x2671)+~P4(x2672)
% 0.20/0.73 [268]~P4(x2682)+~P29(x2681,x2681,x2681)+P38(x2681,x2682,x2682)
% 0.20/0.73 [269]~P26(x2691,x2691,x2692)+P38(x2691,x2691,x2691)+~P5(x2692)
% 0.20/0.73 [271]~P41(x2712)+~P8(x2711,x2712,x2711)+P22(x2711,x2711,x2712)
% 0.20/0.73 [274]~P27(x2741)+P31(x2741,x2741,x2741)+~P30(x2742,x2741,x2741)
% 0.20/0.73 [275]~P2(x2751)+~P42(x2752,x2751,x2752)+P32(x2751,x2751,x2752)
% 0.20/0.73 [289]P29(x2891,x2891,x2891)+~P15(x2891,a2)+~P12(a2,x2892,a2)
% 0.20/0.73 [290]P30(x2901,x2901,x2901)+~P37(x2902,a4,x2902)+~P7(x2901,a4)
% 0.20/0.73 [294]~P23(x2941,x2941)+P30(x2941,x2941,x2941)+~P26(x2942,x2942,x2942)
% 0.20/0.73 [327]~P37(a3,x3272,x3271)+P30(x3271,a5,x3272)+~P26(a5,x3271,a3)
% 0.20/0.73 [330]P42(x3301,x3301,x3301)+~P42(x3301,x3301,x3302)+~P12(a1,x3302,x3301)
% 0.20/0.73 [62]P45(x621)+~P10(x621,x623)+~P45(x622)
% 0.20/0.73 [63]~P1(x631)+P19(x631)+~P15(x632,x633)
% 0.20/0.73 [89]P21(x891,x892)+~P16(x893,x892)+~P48(a3,x891)
% 0.20/0.73 [156]~P2(x1561)+P18(x1561,x1562,x1561)+~P23(x1563,x1562)
% 0.20/0.73 [161]~P27(x1611)+P32(x1611,x1611,x1611)+~P36(x1612,x1613)
% 0.20/0.73 [162]~P45(x1621)+P33(x1621,x1622,x1621)+~P35(x1622,x1623)
% 0.20/0.73 [181]P9(x1811)+~P42(x1813,x1811,x1811)+~P47(x1812)
% 0.20/0.73 [186]~P23(x1861,x1861)+P26(x1861,x1862,x1861)+~P23(x1862,x1863)
% 0.20/0.73 [189]P31(x1891,x1891,x1891)+~P10(x1892,x1891)+~P7(x1893,x1893)
% 0.20/0.73 [196]~P2(x1961)+P20(x1961,x1962)+~P32(x1961,x1963,x1962)
% 0.20/0.73 [208]P14(x2081,x2081)+~P16(x2082,x2082)+~P8(x2083,x2081,x2081)
% 0.20/0.73 [209]~P38(x2093,x2091,x2092)+P36(x2091,x2092)+~P11(x2093,x2091)
% 0.20/0.73 [256]~P3(x2561)+P29(x2561,x2561,x2561)+~P12(x2562,x2563,a2)
% 0.20/0.73 [258]P30(x2581,x2582,x2582)+~P5(x2583)+~P30(a5,x2581,x2582)
% 0.20/0.73 [262]~P12(x2622,x2622,x2621)+P18(x2621,x2622,x2622)+~P3(x2623)
% 0.20/0.73 [263]P26(x2631,x2631,x2631)+~P18(x2632,x2633,x2631)+~P4(x2632)
% 0.20/0.73 [264]~P3(x2641)+P29(x2641,x2641,x2641)+~P12(x2642,x2643,x2641)
% 0.20/0.73 [265]~P18(x2651,x2652,x2652)+P37(x2651,x2651,x2652)+~P2(x2653)
% 0.20/0.73 [270]~P39(x2701)+P8(x2701,x2701,x2701)+~P30(x2702,x2703,x2703)
% 0.20/0.73 [272]~P41(x2722)+~P8(x2722,x2723,x2721)+P31(x2721,x2722,x2723)
% 0.20/0.73 [273]~P5(x2731)+P31(x2731,x2731,x2731)+~P38(x2732,x2733,x2731)
% 0.20/0.73 [293]P18(x2931,x2931,x2931)+~P10(x2932,x2932)+~P18(x2933,x2932,x2931)
% 0.20/0.73 [295]P38(x2951,x2951,x2951)+~P10(x2952,x2951)+~P26(x2952,x2951,x2953)
% 0.20/0.73 [319]P14(x3191,x3191)+~P29(x3191,x3191,x3192)+~P30(x3192,x3193,x3191)
% 0.20/0.73 [329]P30(x3291,x3291,x3291)+~P30(a3,x3292,x3291)+~P18(a3,a3,x3293)
% 0.20/0.73 [333]~P26(x3332,x3331,x3332)+P26(x3331,x3331,x3331)+~P12(x3332,x3332,x3333)
% 0.20/0.73 [335]~P30(x3352,x3351,x3352)+P30(x3351,x3351,x3351)+~P18(x3352,x3353,x3351)
% 0.20/0.73 [336]P30(x3361,x3361,x3361)+~P29(x3361,x3362,x3361)+~P37(x3363,x3363,x3363)
% 0.20/0.73 [337]~P30(x3372,x3372,x3373)+P30(x3371,x3371,x3371)+~P37(x3372,x3373,x3372)
% 0.20/0.73 [338]P8(x3381,x3381,x3381)+~P18(x3381,x3381,x3382)+~P30(x3383,x3382,x3383)
% 0.20/0.73 [340]~P42(x3402,x3402,x3402)+P42(x3401,x3401,x3401)+~P31(x3402,x3401,x3403)
% 0.20/0.73 [342]~P32(x3421,x3423,x3421)+P32(x3421,x3421,x3421)+~P22(x3422,x3423,x3421)
% 0.20/0.73 [188]P37(x1881,x1882,x1881)+~P11(x1883,x1882)+~P23(x1884,x1881)
% 0.20/0.73 [201]P47(x2011)+~P15(x2011,x2012)+~P31(x2013,x2012,x2014)
% 0.20/0.73 [291]~P7(x2912,x2913)+P31(x2911,x2912,x2913)+~P38(x2914,a1,x2911)
% 0.20/0.73 [331]~P18(x3313,x3312,x3311)+P18(x3311,x3312,x3312)+~P18(x3313,x3314,x3312)
% 0.20/0.73 [332]~P12(x3322,x3323,x3321)+P26(x3321,x3321,x3322)+~P12(x3323,x3324,x3324)
% 0.20/0.73 [334]~P29(x3343,x3341,x3344)+P29(x3341,x3342,x3343)+~P12(x3343,x3341,x3344)
% 0.20/0.73 [339]P31(x3391,x3392,x3392)+~P30(x3391,x3392,x3393)+~P22(x3392,x3394,x3393)
% 0.20/0.73 [341]~P42(x3412,x3412,x3411)+P32(x3411,x3412,x3412)+~P32(x3413,x3413,x3414)
% 0.20/0.73 [71]P6(a4)+~P27(a5)+~P11(a4,a1)+~P36(a5,a2)
% 0.20/0.73 [110]P37(a2,a5,a5)+~P1(a5)+~P3(a4)+~P4(a2)
% 0.20/0.73 [184]P14(a1,a4)+~P2(a2)+~P44(a1)+~P8(a3,a4,a3)
% 0.20/0.73 [278]P26(a1,a5,a5)+~P2(a2)+~P23(a1,a1)+~P26(a5,a5,a5)
% 0.20/0.73 [279]P38(a1,a3,a3)+~P45(a4)+~P10(a5,a4)+~P38(a1,a4,a3)
% 0.20/0.73 [280]P8(a1,a1,a1)+~P41(a3)+~P16(a5,a2)+~P29(a3,a1,a2)
% 0.20/0.73 [281]P22(a4,a2,a1)+~P19(a1)+~P15(a1,a2)+~P38(a2,a4,a1)
% 0.20/0.73 [130]~P5(x1301)+P29(x1301,x1301,x1301)+~P3(a4)+~P4(a5)
% 0.20/0.73 [131]~P3(x1311)+P8(x1311,x1311,x1311)+~P2(a5)+~P41(a5)
% 0.20/0.73 [296]~P5(x2961)+P37(x2961,x2961,x2961)+~P10(x2961,a2)+~P29(a2,a2,x2961)
% 0.20/0.73 [297]~P2(x2971)+~P16(x2971,x2971)+P42(x2971,a2,x2971)+~P30(a2,x2971,a2)
% 0.20/0.73 [357]P7(x3571,x3571)+~P37(x3571,x3571,a1)+~P18(x3571,a5,x3571)+~P26(a5,a1,x3571)
% 0.20/0.73 [359]~P26(a5,a5,x3591)+~P37(a5,a4,x3591)+~P29(x3591,a2,a2)+P30(a2,a4,a4)
% 0.20/0.73 [61]~P27(x612)+~P47(x611)+P43(x611,x612)+~P4(a2)
% 0.20/0.73 [74]~P5(x741)+~P15(x742,x742)+P15(x741,x741)+~P3(x742)
% 0.20/0.73 [111]~P45(x1111)+~P16(x1112,x1112)+P16(x1111,x1112)+~P11(a5,x1112)
% 0.20/0.73 [166]~P3(x1661)+P26(x1661,x1662,x1661)+~P23(a2,x1662)+~P1(a2)
% 0.20/0.73 [167]~P5(x1672)+~P16(x1672,x1671)+P38(x1671,a4,x1672)+~P3(a4)
% 0.20/0.73 [168]~P3(x1681)+P18(x1681,x1681,x1681)+~P3(x1682)+~P23(x1682,a1)
% 0.20/0.73 [169]~P5(x1692)+~P10(x1691,x1691)+P18(x1691,x1692,x1692)+~P5(a3)
% 0.20/0.73 [179]~P29(a2,x1791,x1792)+P25(a5)+~P2(a5)+~P39(a2)
% 0.20/0.73 [191]~P2(x1911)+~P23(x1912,x1912)+P26(x1911,a1,x1912)+~P15(x1912,a1)
% 0.20/0.73 [202]P39(x2021)+~P10(x2021,x2022)+~P37(a1,x2022,a1)+~P1(a1)
% 0.20/0.73 [205]~P23(x2052,x2051)+~P11(x2052,x2052)+P18(x2051,x2051,a4)+~P15(a4,a4)
% 0.20/0.73 [206]~P23(x2061,x2062)+~P15(x2062,x2062)+P29(x2061,x2061,x2061)+~P11(x2062,x2062)
% 0.20/0.73 [276]~P45(x2761)+P8(x2761,x2761,x2761)+~P44(x2762)+~P38(a1,x2762,a1)
% 0.20/0.73 [292]P37(x2921,x2921,x2921)+~P26(x2922,a1,x2921)+~P1(a2)+~P23(a2,a1)
% 0.20/0.73 [321]~P36(x3211,x3211)+~P42(x3211,a5,x3212)+~P37(a3,a3,x3212)+P6(a5)
% 0.20/0.73 [360]P26(x3601,x3601,x3601)+~P26(x3602,x3601,x3602)+~P18(a4,x3601,x3602)+~P12(a2,x3602,a4)
% 0.20/0.73 [75]~P41(x751)+P36(x751,x751)+~P16(x753,x753)+~P45(x752)
% 0.20/0.73 [76]~P39(x761)+P35(x761,x761)+~P35(x762,x763)+~P13(x762)
% 0.20/0.73 [112]P24(x1121,x1121)+~P23(x1121,x1122)+~P21(x1123,x1123)+~P9(a1)
% 0.20/0.73 [115]~P14(x1153,x1153)+P14(x1151,x1151)+~P15(x1153,x1151)+~P25(x1152)
% 0.20/0.73 [177]~P2(x1771)+~P3(x1772)+P26(x1771,x1772,x1771)+~P23(x1773,x1771)
% 0.20/0.73 [193]~P5(x1931)+~P10(x1932,x1931)+P37(x1931,x1931,x1932)+~P23(x1933,x1933)
% 0.20/0.73 [207]~P28(x2073,x2071)+P32(x2071,x2071,x2071)+~P14(x2072,x2072)+~P36(x2072,x2073)
% 0.20/0.73 [220]~P44(x2201)+~P36(x2202,x2201)+P36(x2201,x2202)+~P26(x2203,x2201,x2202)
% 0.20/0.73 [285]~P3(x2851)+~P37(x2852,x2852,x2853)+P37(x2851,x2852,x2852)+~P4(x2853)
% 0.20/0.73 [287]~P19(x2872)+~P25(x2871)+P22(x2871,x2872,x2872)+~P22(x2873,x2871,x2873)
% 0.20/0.73 [302]~P15(x3023,x3021)+~P26(x3021,x3022,x3021)+P26(x3021,x3022,x3022)+~P3(x3023)
% 0.20/0.73 [307]~P23(x3071,x3071)+P30(x3071,x3071,x3071)+~P30(x3073,x3072,x3071)+~P39(x3072)
% 0.20/0.73 [309]~P41(x3093)+~P7(x3092,x3093)+~P42(x3093,x3091,x3091)+P42(x3091,x3092,x3093)
% 0.20/0.73 [312]P37(x3121,x3121,x3121)+~P23(x3122,x3123)+~P29(x3121,a2,a2)+~P10(a2,a2)
% 0.20/0.73 [317]~P14(x3172,x3171)+P31(x3171,x3171,x3171)+~P15(x3172,x3172)+~P31(x3173,x3173,x3172)
% 0.20/0.73 [318]~P21(x3183,x3182)+~P33(x3181,x3183,x3181)+P33(x3181,x3182,x3182)+~P16(x3181,x3183)
% 0.20/0.73 [320]~P45(x3201)+P24(x3201,x3201)+~P32(x3202,x3201,x3201)+~P32(a2,a2,x3203)
% 0.20/0.73 [325]~P18(x3253,x3252,x3252)+P16(x3251,x3251)+~P23(x3252,x3251)+~P12(x3252,x3251,x3253)
% 0.20/0.73 [343]~P8(x3431,x3432,x3432)+P8(x3431,x3431,x3431)+~P45(x3432)+~P30(x3432,x3433,a5)
% 0.20/0.73 [344]~P5(x3441)+P38(x3441,x3441,x3441)+~P38(x3442,x3442,x3443)+~P26(x3443,a1,x3442)
% 0.20/0.73 [349]~P10(x3491,x3492)+~P18(x3492,a4,x3492)+P18(x3491,a3,x3492)+~P12(a3,x3493,a3)
% 0.20/0.73 [352]~P23(x3521,x3522)+~P30(x3521,x3522,x3521)+P30(x3521,x3522,x3522)+~P26(x3523,x3522,x3523)
% 0.20/0.73 [354]~P29(x3543,x3542,x3541)+~P42(x3541,x3543,x3541)+P42(x3541,x3541,x3541)+~P16(x3542,x3543)
% 0.20/0.73 [355]~P8(x3553,x3552,x3552)+P32(x3551,x3551,x3551)+~P28(x3551,x3552)+~P29(x3552,x3553,x3551)
% 0.20/0.73 [361]~P29(x3611,x3611,x3613)+~P38(x3612,x3613,x3611)+P38(x3611,x3612,x3611)+~P26(x3612,x3611,x3613)
% 0.20/0.73 [88]~P27(x881)+P40(x881)+~P23(x882,x881)+~P36(x883,x884)
% 0.20/0.73 [217]~P12(x2172,x2171,x2174)+P15(x2171,x2172)+~P23(x2174,x2171)+~P2(x2173)
% 0.20/0.73 [218]~P7(x2183,x2182)+P7(x2181,x2182)+~P18(x2184,x2182,x2181)+~P5(x2183)
% 0.20/0.73 [219]P16(x2191,x2191)+~P12(x2194,x2192,x2191)+~P23(x2193,x2193)+~P45(x2192)
% 0.20/0.73 [282]P29(x2821,x2822,x2821)+~P29(x2822,x2824,x2821)+~P3(x2823)+~P1(a2)
% 0.20/0.73 [286]~P29(x2862,x2864,x2861)+P8(x2861,x2861,x2862)+~P19(x2863)+~P19(x2864)
% 0.20/0.73 [303]~P4(x3031)+P26(x3031,x3031,x3031)+~P12(x3034,x3033,x3034)+~P10(x3032,x3033)
% 0.20/0.73 [305]P29(x3051,x3051,x3051)+~P26(x3053,x3054,x3051)+~P11(x3053,x3053)+~P3(x3052)
% 0.20/0.73 [308]~P45(x3082)+P8(x3081,x3082,x3081)+~P30(x3084,x3082,x3083)+~P11(x3081,x3083)
% 0.20/0.73 [311]~P13(x3111)+P32(x3111,x3111,x3111)+~P11(x3111,x3112)+~P32(x3113,x3114,x3113)
% 0.20/0.73 [322]~P44(x3221)+~P38(x3223,x3221,x3223)+P48(x3221,x3222)+~P12(x3223,x3224,x3222)
% 0.20/0.73 [345]~P19(x3452)+P42(x3451,x3451,x3452)+~P42(x3452,x3453,x3453)+~P22(x3454,a2,x3451)
% 0.20/0.73 [353]~P29(x3531,x3533,x3534)+~P30(x3531,x3532,x3531)+P30(x3531,x3532,x3532)+~P15(x3533,x3534)
% 0.20/0.73 [304]P29(x3041,x3041,x3041)+~P18(x3045,x3043,x3041)+~P3(x3042)+~P10(x3043,x3044)
% 0.20/0.73 [306]P29(x3061,x3061,x3061)+~P26(x3063,x3061,x3065)+~P5(x3062)+~P10(x3063,x3064)
% 0.20/0.73 [316]P8(x3161,x3161,x3162)+~P10(x3163,x3162)+~P8(x3162,x3165,x3164)+~P7(x3161,x3164)
% 0.20/0.73 [358]P35(x3581,x3582)+~P38(x3583,x3582,x3581)+~P8(x3584,x3584,x3581)+~P22(x3583,x3585,x3583)
% 0.20/0.73 [301]~P15(a5,a4)+~P16(a5,a2)+P30(a3,a4,a2)+~P39(a5)+~P18(a1,a3,a4)
% 0.20/0.73 [351]P25(a3)+~P5(a4)+~P18(a2,a3,a5)+~P26(a5,a3,a5)+~P37(a4,a3,a1)
% 0.20/0.73 [259]~P2(x2591)+P18(a4,a3,a4)+~P2(a5)+~P4(a5)+~P12(a3,a5,a4)
% 0.20/0.73 [298]~P1(x2981)+~P11(a4,x2981)+~P26(a4,a1,x2981)+P29(a1,a1,x2981)+~P2(a1)
% 0.20/0.73 [313]~P26(a4,x3131,x3131)+~P23(a2,x3131)+P30(a2,a4,a3)+~P2(a5)+~P7(a4,a3)
% 0.20/0.73 [347]~P27(x3471)+~P38(x3471,a1,x3471)+P31(x3471,a1,a5)+~P14(a2,a5)+~P30(a1,a2,a4)
% 0.20/0.73 [348]~P22(a3,x3481,x3481)+~P38(x3481,a5,x3481)+P42(a3,a3,a5)+~P19(a2)+~P7(a3,a3)
% 0.20/0.73 [192]~P23(x1921,x1922)+P18(x1921,x1922,a4)+~P10(x1922,a1)+~P1(a1)+~P2(a4)
% 0.20/0.73 [200]~P5(x2002)+P30(x2001,x2001,x2001)+~P4(x2002)+~P7(x2001,a3)+~P16(a3,x2002)
% 0.20/0.73 [221]~P5(x2211)+P36(x2211,x2211)+~P36(x2212,x2211)+~P12(x2212,a1,x2212)+~P41(a1)
% 0.20/0.73 [73]~P6(x731)+~P46(x732)+P46(x731)+~P48(x731,x733)+~P17(x732)
% 0.20/0.73 [314]~P1(x3141)+~P5(x3141)+~P12(x3143,x3143,x3143)+P26(x3141,x3141,x3141)+~P23(x3142,x3143)
% 0.20/0.73 [323]~P22(x3231,x3233,x3231)+P22(x3231,x3231,x3231)+~P7(x3232,x3233)+~P11(x3233,a3)+~P16(a3,a3)
% 0.20/0.73 [346]P30(x3461,x3461,x3462)+~P30(x3461,x3463,x3461)+~P37(a4,x3461,x3463)+~P1(a5)+~P45(a4)
% 0.20/0.73 [183]~P41(x1831)+P22(x1831,x1831,x1831)+~P1(x1832)+~P10(x1834,x1833)+~P44(x1833)
% 0.20/0.73 [204]~P3(x2041)+~P10(x2042,x2042)+P37(x2041,x2042,x2041)+~P23(x2044,x2041)+~P2(x2043)
% 0.20/0.73 [315]~P44(x3151)+~P8(x3153,x3154,x3153)+P8(x3151,x3151,x3151)+~P19(x3152)+~P15(x3153,x3154)
% 0.20/0.73 [350]~P4(x3502)+~P39(x3502)+~P38(x3502,x3502,x3502)+P38(x3501,x3502,x3501)+~P12(x3503,x3504,x3501)
% 0.20/0.73 [356]~P12(x3563,x3563,x3562)+~P12(x3561,x3564,x3564)+P22(x3561,x3562,x3561)+~P16(x3564,x3561)+~P44(x3563)
% 0.20/0.73 [362]~P26(x3622,x3624,x3624)+~P37(x3623,x3622,x3624)+P37(x3621,x3621,x3621)+~P18(x3621,x3624,x3622)+~P23(x3622,x3623)
% 0.20/0.73 [299]~P32(x2995,x2995,x2992)+P24(x2991,x2992)+~P28(x2991,x2993)+~P35(x2994,x2993)+~P24(x2995,x2992)
% 0.20/0.73 %EqnAxiom
% 0.20/0.73
% 0.20/0.73 %-------------------------------------------
% 0.20/0.73 cnf(363,plain,
% 0.20/0.73 ($false),
% 0.20/0.73 inference(scs_inference,[],[39,3,79]),
% 0.20/0.73 ['proof']).
% 0.20/0.73 % SZS output end Proof
% 0.20/0.73 % Total time :0.010000s
%------------------------------------------------------------------------------