TSTP Solution File: SEU439+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU439+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n005.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 : Thu Aug 31 16:26:49 EDT 2023
% Result : Theorem 3.55s 3.78s
% Output : CNFRefutation 3.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU439+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n005.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 : Wed Aug 23 19:14:09 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 3.55/3.78 % Version : CSE_E---1.5
% 3.55/3.78 % Problem : theBenchmark.p
% 3.55/3.78 % Proof found
% 3.55/3.78 % SZS status Theorem for theBenchmark.p
% 3.55/3.78 % SZS output start Proof
% 3.55/3.78 [2]~E(a12,a1)
% 3.55/3.78 [47]P11(a1)
% 3.55/3.78 [54]P2(a1)
% 3.55/3.78 [55]P1(a1)
% 3.55/3.78 [57]P2(a2)
% 3.55/3.78 [58]P1(a2)
% 3.55/3.78 [64]P2(a7)
% 3.55/3.78 [65]~P1(a7)
% 3.55/3.78 [68]P11(a10)
% 3.55/3.78 [69]P2(a10)
% 3.55/3.78 [1]~P3(f26(a13,a14,a12,a15),f31(a15,a12))
% 3.55/3.78 [4]P4(a12,f22(a13))
% 3.55/3.78 [3]P4(a15,f22(f25(a13,a14)))
% 3.55/3.78 [75]P3(x751,x751)
% 3.55/3.78 [27]P5(f23(x271),x271)
% 3.55/3.78 [43]P5(f4(x431),x431)
% 3.55/3.78 [45]P4(f3(x451),x451)
% 3.55/3.78 [50]~P1(f22(x501))
% 3.55/3.78 [52]~P1(f16(x521))
% 3.55/3.78 [66]P1(f11(x661))
% 3.55/3.78 [67]P4(f11(x671),f22(x671))
% 3.55/3.78 [8]E(f24(x81,x82),f24(x82,x81))
% 3.55/3.78 [44]P6(f5(x441,x442),x441,x442)
% 3.55/3.78 [46]P7(f6(x461,x462),x461,x462)
% 3.55/3.78 [51]P2(f25(x511,x512))
% 3.55/3.78 [53]~P1(f24(x531,x532))
% 3.55/3.78 [61]P8(f8(x611,x612))
% 3.55/3.78 [62]P2(f8(x621,x622))
% 3.55/3.78 [63]P6(f8(x631,x632),x631,x632)
% 3.55/3.78 [6]~P1(x61)+P2(x61)
% 3.55/3.78 [83]~P1(x831)+E(x831,a1)
% 3.55/3.78 [15]P9(f17(x151),x151)+E(x151,a1)
% 3.55/3.78 [59]P1(x591)+~P1(f9(x591))
% 3.55/3.78 [60]P1(x601)+P4(f9(x601),f22(x601))
% 3.55/3.78 [5]~P9(x52,x51)+~P9(x51,x52)
% 3.55/3.78 [16]~P9(x162,x161)+~E(x161,a1)
% 3.55/3.78 [76]~P9(x761,x762)+P4(x761,x762)
% 3.55/3.78 [84]~P1(x841)+~P9(x842,x841)
% 3.55/3.78 [17]P3(x171,x172)+~P9(f21(x171,x172),x172)
% 3.55/3.78 [18]P3(x181,x182)+P9(f21(x181,x182),x181)
% 3.55/3.78 [30]~P2(x302)+P8(f27(x301,x302))
% 3.55/3.78 [31]~P2(x312)+P2(f27(x311,x312))
% 3.55/3.78 [79]~P3(x791,x792)+P4(x791,f22(x792))
% 3.55/3.78 [80]P3(x801,x802)+~P4(x801,f22(x802))
% 3.55/3.78 [37]P4(f32(x371,x372),f22(x371))+~P4(x372,f22(f22(x371)))
% 3.55/3.78 [39]~P5(x391,x392)+P4(x391,f22(f22(x392)))
% 3.55/3.78 [73]~P6(x731,x732,x733)+P7(x731,x732,x733)
% 3.55/3.78 [74]~P7(x741,x742,x743)+P6(x741,x742,x743)
% 3.55/3.78 [7]P2(x71)+~P4(x71,f22(f25(x72,x73)))
% 3.55/3.78 [32]P7(f29(x321,x322,x323),f22(x322),f22(x321))+~P4(x323,f22(f25(x322,x321)))
% 3.55/3.78 [33]P10(f29(x331,x332,x333),f22(x332),f22(x331))+~P4(x333,f22(f25(x332,x331)))
% 3.55/3.78 [34]~P4(x343,f22(f25(x342,x341)))+P8(f29(x341,x342,x343))
% 3.55/3.78 [42]~P7(x421,x422,x423)+P4(x421,f22(f25(x422,x423)))
% 3.55/3.78 [71]E(f29(x711,x712,x713),f27(x712,x713))+~P4(x713,f22(f25(x712,x711)))
% 3.55/3.78 [28]P4(f28(x281,x282,x283,x284),f22(f22(x282)))+~P4(x283,f22(f25(x281,f22(x282))))
% 3.55/3.78 [70]E(f28(x701,x702,x703,x704),f31(x703,x704))+~P4(x703,f22(f25(x701,f22(x702))))
% 3.55/3.78 [78]~P4(x782,x781)+P1(x781)+P9(x782,x781)
% 3.55/3.78 [85]~P1(x852)+~P1(x851)+E(x851,x852)
% 3.55/3.78 [56]P1(x561)+P1(x562)+~P1(f25(x562,x561))
% 3.55/3.78 [19]~P9(x191,x193)+P9(x191,x192)+~P3(x193,x192)
% 3.55/3.78 [81]P4(x811,x812)+~P9(x811,x813)+~P4(x813,f22(x812))
% 3.55/3.78 [82]~P1(x821)+~P9(x822,x823)+~P4(x823,f22(x821))
% 3.55/3.78 [86]~P2(x862)+~P9(f24(f24(x863,x861),f16(x863)),x862)+P9(x861,f31(x862,f16(x863)))
% 3.55/3.78 [87]~P2(x873)+~P9(x872,f31(x873,f16(x871)))+P9(f24(f24(x871,x872),f16(x871)),x873)
% 3.55/3.78 [36]~P4(x363,f22(x361))+P4(f26(x361,x362,x363,x364),f22(x362))+~P4(x364,f22(f25(x361,x362)))
% 3.55/3.78 [72]~P4(x723,f22(x721))+E(f26(x721,x722,x723,x724),f30(x721,x722,x723,x724))+~P4(x724,f22(f25(x721,x722)))
% 3.55/3.78 [20]~P4(x204,f22(x202))+~P4(x203,f22(f25(x202,x201)))+E(f32(x201,f28(f22(x202),x201,f29(x201,x202,x203),f23(x204))),f30(x202,x201,x204,x203))
% 3.55/3.78 [9]~P2(x92)+P9(f18(x92,x93,x91),x91)+P9(f20(x92,x93,x91),x93)+E(x91,f31(x92,x93))
% 3.55/3.78 [10]~P2(x102)+P9(f18(x102,x103,x101),x101)+E(x101,f31(x102,x103))+P9(f24(f24(f20(x102,x103,x101),f18(x102,x103,x101)),f16(f20(x102,x103,x101))),x102)
% 3.55/3.78 [13]~P2(x131)+~P9(x134,x133)+~E(x133,f31(x131,x132))+P9(f19(x131,x132,x133,x134),x132)
% 3.55/3.78 [14]~P2(x141)+~P9(x144,x143)+~E(x143,f31(x141,x142))+P9(f24(f24(f19(x141,x142,x143,x144),x144),f16(f19(x141,x142,x143,x144))),x141)
% 3.55/3.78 [11]~P2(x112)+~P9(x114,x113)+~P9(f18(x112,x113,x111),x111)+E(x111,f31(x112,x113))+~P9(f24(f24(x114,f18(x112,x113,x111)),f16(x114)),x112)
% 3.55/3.78 [12]~P2(x123)+P9(x121,x122)+~P9(x125,x124)+~E(x122,f31(x123,x124))+~P9(f24(f24(x125,x121),f16(x125)),x123)
% 3.55/3.78 [77]~P9(x773,x774)+~P9(x771,f26(x775,x776,x774,x772))+~P4(x774,f22(x775))+P9(x771,f31(x772,f16(x773)))+~P4(x772,f22(f25(x775,x776)))
% 3.55/3.78 [88]E(x881,x881)
% 3.55/3.78 [89]E(x892,x891)+~E(x891,x892)
% 3.55/3.78 [90]E(x901,x903)+~E(x901,x902)+~E(x902,x903)
% 3.55/3.78 [91]~E(x911,x912)+E(f11(x911),f11(x912))
% 3.55/3.78 [92]~E(x921,x922)+E(f22(x921),f22(x922))
% 3.55/3.78 [93]~E(x931,x932)+E(f3(x931),f3(x932))
% 3.55/3.78 [94]~E(x941,x942)+E(f23(x941),f23(x942))
% 3.55/3.78 [95]~E(x951,x952)+E(f4(x951),f4(x952))
% 3.55/3.78 [96]~E(x961,x962)+E(f31(x961,x963),f31(x962,x963))
% 3.55/3.78 [97]~E(x971,x972)+E(f31(x973,x971),f31(x973,x972))
% 3.55/3.78 [98]~E(x981,x982)+E(f24(x981,x983),f24(x982,x983))
% 3.55/3.78 [99]~E(x991,x992)+E(f24(x993,x991),f24(x993,x992))
% 3.55/3.78 [100]~E(x1001,x1002)+E(f26(x1001,x1003,x1004,x1005),f26(x1002,x1003,x1004,x1005))
% 3.55/3.78 [101]~E(x1011,x1012)+E(f26(x1013,x1011,x1014,x1015),f26(x1013,x1012,x1014,x1015))
% 3.55/3.78 [102]~E(x1021,x1022)+E(f26(x1023,x1024,x1021,x1025),f26(x1023,x1024,x1022,x1025))
% 3.55/3.78 [103]~E(x1031,x1032)+E(f26(x1033,x1034,x1035,x1031),f26(x1033,x1034,x1035,x1032))
% 3.55/3.78 [104]~E(x1041,x1042)+E(f19(x1041,x1043,x1044,x1045),f19(x1042,x1043,x1044,x1045))
% 3.55/3.78 [105]~E(x1051,x1052)+E(f19(x1053,x1051,x1054,x1055),f19(x1053,x1052,x1054,x1055))
% 3.55/3.78 [106]~E(x1061,x1062)+E(f19(x1063,x1064,x1061,x1065),f19(x1063,x1064,x1062,x1065))
% 3.55/3.78 [107]~E(x1071,x1072)+E(f19(x1073,x1074,x1075,x1071),f19(x1073,x1074,x1075,x1072))
% 3.55/3.78 [108]~E(x1081,x1082)+E(f25(x1081,x1083),f25(x1082,x1083))
% 3.55/3.78 [109]~E(x1091,x1092)+E(f25(x1093,x1091),f25(x1093,x1092))
% 3.55/3.78 [110]~E(x1101,x1102)+E(f8(x1101,x1103),f8(x1102,x1103))
% 3.55/3.78 [111]~E(x1111,x1112)+E(f8(x1113,x1111),f8(x1113,x1112))
% 3.55/3.78 [112]~E(x1121,x1122)+E(f16(x1121),f16(x1122))
% 3.55/3.78 [113]~E(x1131,x1132)+E(f28(x1131,x1133,x1134,x1135),f28(x1132,x1133,x1134,x1135))
% 3.55/3.78 [114]~E(x1141,x1142)+E(f28(x1143,x1141,x1144,x1145),f28(x1143,x1142,x1144,x1145))
% 3.55/3.78 [115]~E(x1151,x1152)+E(f28(x1153,x1154,x1151,x1155),f28(x1153,x1154,x1152,x1155))
% 3.55/3.78 [116]~E(x1161,x1162)+E(f28(x1163,x1164,x1165,x1161),f28(x1163,x1164,x1165,x1162))
% 3.55/3.78 [117]~E(x1171,x1172)+E(f32(x1171,x1173),f32(x1172,x1173))
% 3.55/3.78 [118]~E(x1181,x1182)+E(f32(x1183,x1181),f32(x1183,x1182))
% 3.55/3.78 [119]~E(x1191,x1192)+E(f6(x1191,x1193),f6(x1192,x1193))
% 3.55/3.78 [120]~E(x1201,x1202)+E(f6(x1203,x1201),f6(x1203,x1202))
% 3.55/3.78 [121]~E(x1211,x1212)+E(f5(x1211,x1213),f5(x1212,x1213))
% 3.55/3.78 [122]~E(x1221,x1222)+E(f5(x1223,x1221),f5(x1223,x1222))
% 3.55/3.78 [123]~E(x1231,x1232)+E(f18(x1231,x1233,x1234),f18(x1232,x1233,x1234))
% 3.55/3.78 [124]~E(x1241,x1242)+E(f18(x1243,x1241,x1244),f18(x1243,x1242,x1244))
% 3.55/3.78 [125]~E(x1251,x1252)+E(f18(x1253,x1254,x1251),f18(x1253,x1254,x1252))
% 3.55/3.78 [126]~E(x1261,x1262)+E(f20(x1261,x1263,x1264),f20(x1262,x1263,x1264))
% 3.55/3.78 [127]~E(x1271,x1272)+E(f20(x1273,x1271,x1274),f20(x1273,x1272,x1274))
% 3.55/3.78 [128]~E(x1281,x1282)+E(f20(x1283,x1284,x1281),f20(x1283,x1284,x1282))
% 3.55/3.78 [129]~E(x1291,x1292)+E(f27(x1291,x1293),f27(x1292,x1293))
% 3.55/3.78 [130]~E(x1301,x1302)+E(f27(x1303,x1301),f27(x1303,x1302))
% 3.55/3.78 [131]~E(x1311,x1312)+E(f30(x1311,x1313,x1314,x1315),f30(x1312,x1313,x1314,x1315))
% 3.55/3.78 [132]~E(x1321,x1322)+E(f30(x1323,x1321,x1324,x1325),f30(x1323,x1322,x1324,x1325))
% 3.55/3.78 [133]~E(x1331,x1332)+E(f30(x1333,x1334,x1331,x1335),f30(x1333,x1334,x1332,x1335))
% 3.55/3.78 [134]~E(x1341,x1342)+E(f30(x1343,x1344,x1345,x1341),f30(x1343,x1344,x1345,x1342))
% 3.55/3.78 [135]~E(x1351,x1352)+E(f29(x1351,x1353,x1354),f29(x1352,x1353,x1354))
% 3.55/3.78 [136]~E(x1361,x1362)+E(f29(x1363,x1361,x1364),f29(x1363,x1362,x1364))
% 3.55/3.78 [137]~E(x1371,x1372)+E(f29(x1373,x1374,x1371),f29(x1373,x1374,x1372))
% 3.55/3.78 [138]~E(x1381,x1382)+E(f21(x1381,x1383),f21(x1382,x1383))
% 3.55/3.78 [139]~E(x1391,x1392)+E(f21(x1393,x1391),f21(x1393,x1392))
% 3.55/3.78 [140]~E(x1401,x1402)+E(f9(x1401),f9(x1402))
% 3.55/3.78 [141]~E(x1411,x1412)+E(f17(x1411),f17(x1412))
% 3.55/3.78 [142]~P1(x1421)+P1(x1422)+~E(x1421,x1422)
% 3.55/3.78 [143]P9(x1432,x1433)+~E(x1431,x1432)+~P9(x1431,x1433)
% 3.55/3.78 [144]P9(x1443,x1442)+~E(x1441,x1442)+~P9(x1443,x1441)
% 3.55/3.78 [145]~P2(x1451)+P2(x1452)+~E(x1451,x1452)
% 3.55/3.78 [146]P7(x1462,x1463,x1464)+~E(x1461,x1462)+~P7(x1461,x1463,x1464)
% 3.55/3.78 [147]P7(x1473,x1472,x1474)+~E(x1471,x1472)+~P7(x1473,x1471,x1474)
% 3.55/3.78 [148]P7(x1483,x1484,x1482)+~E(x1481,x1482)+~P7(x1483,x1484,x1481)
% 3.55/3.78 [149]P4(x1492,x1493)+~E(x1491,x1492)+~P4(x1491,x1493)
% 3.55/3.78 [150]P4(x1503,x1502)+~E(x1501,x1502)+~P4(x1503,x1501)
% 3.55/3.78 [151]P3(x1512,x1513)+~E(x1511,x1512)+~P3(x1511,x1513)
% 3.55/3.78 [152]P3(x1523,x1522)+~E(x1521,x1522)+~P3(x1523,x1521)
% 3.55/3.78 [153]~P8(x1531)+P8(x1532)+~E(x1531,x1532)
% 3.55/3.78 [154]P6(x1542,x1543,x1544)+~E(x1541,x1542)+~P6(x1541,x1543,x1544)
% 3.55/3.78 [155]P6(x1553,x1552,x1554)+~E(x1551,x1552)+~P6(x1553,x1551,x1554)
% 3.55/3.78 [156]P6(x1563,x1564,x1562)+~E(x1561,x1562)+~P6(x1563,x1564,x1561)
% 3.55/3.78 [157]~P11(x1571)+P11(x1572)+~E(x1571,x1572)
% 3.55/3.78 [158]P10(x1582,x1583,x1584)+~E(x1581,x1582)+~P10(x1581,x1583,x1584)
% 3.55/3.78 [159]P10(x1593,x1592,x1594)+~E(x1591,x1592)+~P10(x1593,x1591,x1594)
% 3.55/3.78 [160]P10(x1603,x1604,x1602)+~E(x1601,x1602)+~P10(x1603,x1604,x1601)
% 3.55/3.78 [161]P5(x1612,x1613)+~E(x1611,x1612)+~P5(x1611,x1613)
% 3.55/3.78 [162]P5(x1623,x1622)+~E(x1621,x1622)+~P5(x1623,x1621)
% 3.55/3.78 cnf(163,plain,
% 3.55/3.78 (~P2(x1631)+P9(x1632,f31(x1631,x1633))+~P9(x1634,x1633)+~P9(f24(f24(x1634,x1632),f16(x1634)),x1631)),
% 3.55/3.78 inference(equality_inference,[],[12])).
% 3.55/3.78 cnf(164,plain,
% 3.55/3.78 (~P2(x1641)+~P9(x1642,f31(x1641,x1643))+P9(f19(x1641,x1643,f31(x1641,x1643),x1642),x1643)),
% 3.55/3.78 inference(equality_inference,[],[13])).
% 3.55/3.78 cnf(165,plain,
% 3.55/3.78 (~P2(x1651)+~P9(x1652,f31(x1651,x1653))+P9(f24(f24(f19(x1651,x1653,f31(x1651,x1653),x1652),x1652),f16(f19(x1651,x1653,f31(x1651,x1653),x1652))),x1651)),
% 3.55/3.78 inference(equality_inference,[],[14])).
% 3.55/3.78 cnf(166,plain,
% 3.55/3.78 (~P9(x1661,a1)),
% 3.55/3.78 inference(equality_inference,[],[16])).
% 3.55/3.78 cnf(167,plain,
% 3.55/3.78 (P2(a15)),
% 3.55/3.78 inference(scs_inference,[],[3,7])).
% 3.55/3.78 cnf(169,plain,
% 3.55/3.78 (P9(f17(a12),a12)),
% 3.55/3.79 inference(scs_inference,[],[2,3,7,15])).
% 3.55/3.79 cnf(171,plain,
% 3.55/3.79 (P3(a1,x1711)),
% 3.55/3.79 inference(scs_inference,[],[2,3,166,7,15,18])).
% 3.55/3.79 cnf(172,plain,
% 3.55/3.79 (~P9(x1721,a1)),
% 3.55/3.79 inference(rename_variables,[],[166])).
% 3.55/3.79 cnf(176,plain,
% 3.55/3.79 (P10(f29(a14,a13,a15),f22(a13),f22(a14))),
% 3.55/3.79 inference(scs_inference,[],[2,3,166,7,15,18,32,33])).
% 3.55/3.79 cnf(180,plain,
% 3.55/3.79 (P3(a12,a13)),
% 3.55/3.79 inference(scs_inference,[],[2,4,3,166,7,15,18,32,33,71,80])).
% 3.55/3.79 cnf(182,plain,
% 3.55/3.79 (~P1(a12)),
% 3.55/3.79 inference(scs_inference,[],[2,4,3,166,7,15,18,32,33,71,80,83])).
% 3.55/3.79 cnf(184,plain,
% 3.55/3.79 (E(f27(a13,a15),f29(a14,a13,a15))),
% 3.55/3.79 inference(scs_inference,[],[2,4,3,166,7,15,18,32,33,71,80,83,89])).
% 3.55/3.79 cnf(187,plain,
% 3.55/3.79 (P4(f32(x1871,f11(f22(x1871))),f22(x1871))),
% 3.55/3.79 inference(scs_inference,[],[2,4,3,166,67,7,15,18,32,33,71,80,83,89,5,37])).
% 3.55/3.79 cnf(190,plain,
% 3.55/3.79 (~P9(x1901,a2)),
% 3.55/3.79 inference(scs_inference,[],[2,4,3,166,67,58,7,15,18,32,33,71,80,83,89,5,37,84])).
% 3.55/3.79 cnf(192,plain,
% 3.55/3.79 (P4(f26(a13,a14,a12,a15),f22(a14))),
% 3.55/3.79 inference(scs_inference,[],[2,4,3,166,67,58,7,15,18,32,33,71,80,83,89,5,37,84,36])).
% 3.55/3.79 cnf(194,plain,
% 3.55/3.79 (E(f26(a13,a14,a12,a15),f30(a13,a14,a12,a15))),
% 3.55/3.79 inference(scs_inference,[],[2,4,3,166,67,58,7,15,18,32,33,71,80,83,89,5,37,84,36,72])).
% 3.55/3.79 cnf(196,plain,
% 3.55/3.79 (P9(f3(a7),a7)),
% 3.55/3.79 inference(scs_inference,[],[2,4,3,166,45,67,58,65,7,15,18,32,33,71,80,83,89,5,37,84,36,72,78])).
% 3.55/3.79 cnf(197,plain,
% 3.55/3.79 (P4(f3(x1971),x1971)),
% 3.55/3.79 inference(rename_variables,[],[45])).
% 3.55/3.79 cnf(201,plain,
% 3.55/3.79 (~P1(a13)),
% 3.55/3.79 inference(scs_inference,[],[2,4,3,166,45,67,58,65,7,15,18,32,33,71,80,83,89,5,37,84,36,72,78,81,82])).
% 3.55/3.79 cnf(203,plain,
% 3.55/3.79 (P4(f30(a13,a14,a12,a15),f22(a14))),
% 3.55/3.79 inference(scs_inference,[],[2,4,3,166,45,67,58,65,7,15,18,32,33,71,80,83,89,5,37,84,36,72,78,81,82,149])).
% 3.55/3.79 cnf(204,plain,
% 3.55/3.79 (P4(f3(f24(x2041,x2042)),f24(x2042,x2041))),
% 3.55/3.79 inference(scs_inference,[],[2,4,3,166,8,45,197,67,58,65,7,15,18,32,33,71,80,83,89,5,37,84,36,72,78,81,82,149,150])).
% 3.55/3.79 cnf(206,plain,
% 3.55/3.79 (~E(f31(a15,a12),f26(a13,a14,a12,a15))),
% 3.55/3.79 inference(scs_inference,[],[1,2,4,3,75,166,8,45,197,67,58,65,7,15,18,32,33,71,80,83,89,5,37,84,36,72,78,81,82,149,150,151])).
% 3.55/3.79 cnf(207,plain,
% 3.55/3.79 (P3(x2071,x2071)),
% 3.55/3.79 inference(rename_variables,[],[75])).
% 3.55/3.79 cnf(210,plain,
% 3.55/3.79 (P9(f17(a12),a13)),
% 3.55/3.79 inference(scs_inference,[],[1,2,4,3,75,207,166,8,45,197,67,58,65,7,15,18,32,33,71,80,83,89,5,37,84,36,72,78,81,82,149,150,151,152,19])).
% 3.55/3.79 cnf(212,plain,
% 3.55/3.79 (~P9(x2121,f31(a1,f16(x2122)))),
% 3.55/3.79 inference(scs_inference,[],[1,2,4,3,75,207,166,172,8,45,197,67,58,54,65,7,15,18,32,33,71,80,83,89,5,37,84,36,72,78,81,82,149,150,151,152,19,87])).
% 3.55/3.79 cnf(213,plain,
% 3.55/3.79 (~P9(x2131,a1)),
% 3.55/3.79 inference(rename_variables,[],[166])).
% 3.55/3.79 cnf(215,plain,
% 3.55/3.79 (~P9(x2151,f31(a1,a1))),
% 3.55/3.79 inference(scs_inference,[],[1,2,4,3,75,207,166,172,213,8,45,197,67,58,54,65,7,15,18,32,33,71,80,83,89,5,37,84,36,72,78,81,82,149,150,151,152,19,87,164])).
% 3.55/3.79 cnf(216,plain,
% 3.55/3.79 (~P9(x2161,a1)),
% 3.55/3.79 inference(rename_variables,[],[166])).
% 3.55/3.79 cnf(218,plain,
% 3.55/3.79 (~E(a7,a1)),
% 3.55/3.79 inference(scs_inference,[],[1,2,4,3,75,207,166,172,213,216,8,45,197,67,58,54,65,7,15,18,32,33,71,80,83,89,5,37,84,36,72,78,81,82,149,150,151,152,19,87,164,144])).
% 3.55/3.79 cnf(219,plain,
% 3.55/3.79 (~P9(x2191,a1)),
% 3.55/3.79 inference(rename_variables,[],[166])).
% 3.55/3.79 cnf(221,plain,
% 3.55/3.79 (P7(f6(f24(x2211,x2212),x2213),f24(x2212,x2211),x2213)),
% 3.55/3.79 inference(scs_inference,[],[1,2,4,3,75,207,166,172,213,216,8,45,197,67,58,46,54,65,7,15,18,32,33,71,80,83,89,5,37,84,36,72,78,81,82,149,150,151,152,19,87,164,144,146,147])).
% 3.55/3.79 cnf(222,plain,
% 3.55/3.79 (P7(f6(x2221,x2222),x2221,x2222)),
% 3.55/3.79 inference(rename_variables,[],[46])).
% 3.55/3.79 cnf(223,plain,
% 3.55/3.79 (P7(f6(x2231,f24(x2232,x2233)),x2231,f24(x2233,x2232))),
% 3.55/3.79 inference(scs_inference,[],[1,2,4,3,75,207,166,172,213,216,8,45,197,67,58,46,222,54,65,7,15,18,32,33,71,80,83,89,5,37,84,36,72,78,81,82,149,150,151,152,19,87,164,144,146,147,148])).
% 3.55/3.79 cnf(225,plain,
% 3.55/3.79 (P6(f5(f24(x2251,x2252),x2253),f24(x2252,x2251),x2253)),
% 3.55/3.79 inference(scs_inference,[],[1,2,4,3,75,207,166,172,213,216,8,45,197,67,58,44,46,222,54,65,7,15,18,32,33,71,80,83,89,5,37,84,36,72,78,81,82,149,150,151,152,19,87,164,144,146,147,148,155])).
% 3.55/3.79 cnf(226,plain,
% 3.55/3.79 (P6(f5(x2261,x2262),x2261,x2262)),
% 3.55/3.79 inference(rename_variables,[],[44])).
% 3.55/3.79 cnf(227,plain,
% 3.55/3.79 (P6(f5(x2271,f24(x2272,x2273)),x2271,f24(x2273,x2272))),
% 3.55/3.79 inference(scs_inference,[],[1,2,4,3,75,207,166,172,213,216,8,45,197,67,58,44,226,46,222,54,65,7,15,18,32,33,71,80,83,89,5,37,84,36,72,78,81,82,149,150,151,152,19,87,164,144,146,147,148,155,156])).
% 3.55/3.79 cnf(232,plain,
% 3.55/3.79 (E(a2,f31(a1,a1))),
% 3.55/3.79 inference(scs_inference,[],[1,2,4,3,75,207,166,172,213,216,219,8,45,197,67,58,44,226,46,222,27,54,65,7,15,18,32,33,71,80,83,89,5,37,84,36,72,78,81,82,149,150,151,152,19,87,164,144,146,147,148,155,156,158,162,9])).
% 3.55/3.79 cnf(233,plain,
% 3.55/3.79 (~P9(x2331,a1)),
% 3.55/3.79 inference(rename_variables,[],[166])).
% 3.55/3.79 cnf(235,plain,
% 3.55/3.79 (~E(a12,f31(a1,f31(a1,f16(x2351))))),
% 3.55/3.79 inference(scs_inference,[],[1,2,4,3,75,207,166,172,213,216,219,8,45,197,67,58,44,226,46,222,27,54,65,7,15,18,32,33,71,80,83,89,5,37,84,36,72,78,81,82,149,150,151,152,19,87,164,144,146,147,148,155,156,158,162,9,13])).
% 3.55/3.79 cnf(239,plain,
% 3.55/3.79 (P1(f31(a1,a1))),
% 3.55/3.79 inference(scs_inference,[],[1,2,4,3,75,207,166,172,213,216,219,8,45,197,67,58,44,226,46,222,27,54,65,7,15,18,32,33,71,80,83,89,5,37,84,36,72,78,81,82,149,150,151,152,19,87,164,144,146,147,148,155,156,158,162,9,13,85,142])).
% 3.55/3.79 cnf(240,plain,
% 3.55/3.79 (P2(f31(a1,a1))),
% 3.55/3.79 inference(scs_inference,[],[1,2,4,3,75,207,166,172,213,216,219,8,45,197,67,58,44,226,46,222,27,54,57,65,7,15,18,32,33,71,80,83,89,5,37,84,36,72,78,81,82,149,150,151,152,19,87,164,144,146,147,148,155,156,158,162,9,13,85,142,145])).
% 3.55/3.79 cnf(241,plain,
% 3.55/3.79 (E(a1,f31(f31(a1,a1),x2411))),
% 3.55/3.79 inference(scs_inference,[],[1,2,4,3,75,207,166,172,213,216,219,233,8,45,197,67,58,44,226,46,222,27,54,57,65,7,15,18,32,33,71,80,83,89,5,37,84,36,72,78,81,82,149,150,151,152,19,87,164,144,146,147,148,155,156,158,162,9,13,85,142,145,10])).
% 3.55/3.79 cnf(248,plain,
% 3.55/3.79 (P2(f3(f22(f25(x2481,x2482))))),
% 3.55/3.79 inference(scs_inference,[],[45,7])).
% 3.55/3.79 cnf(249,plain,
% 3.55/3.79 (P4(f3(x2491),x2491)),
% 3.55/3.79 inference(rename_variables,[],[45])).
% 3.55/3.79 cnf(251,plain,
% 3.55/3.79 (P9(f17(a7),a7)),
% 3.55/3.79 inference(scs_inference,[],[218,45,7,15])).
% 3.55/3.79 cnf(253,plain,
% 3.55/3.79 (P3(f31(a1,f16(x2531)),x2532)),
% 3.55/3.79 inference(scs_inference,[],[212,218,45,7,15,18])).
% 3.55/3.79 cnf(254,plain,
% 3.55/3.79 (~P9(x2541,f31(a1,f16(x2542)))),
% 3.55/3.79 inference(rename_variables,[],[212])).
% 3.55/3.79 cnf(256,plain,
% 3.55/3.79 (P7(f29(x2561,x2562,f11(f25(x2562,x2561))),f22(x2562),f22(x2561))),
% 3.55/3.79 inference(scs_inference,[],[212,218,45,67,7,15,18,32])).
% 3.55/3.79 cnf(257,plain,
% 3.55/3.79 (P4(f11(x2571),f22(x2571))),
% 3.55/3.79 inference(rename_variables,[],[67])).
% 3.55/3.79 cnf(259,plain,
% 3.55/3.79 (P10(f29(x2591,x2592,f11(f25(x2592,x2591))),f22(x2592),f22(x2591))),
% 3.55/3.79 inference(scs_inference,[],[212,218,45,67,257,7,15,18,32,33])).
% 3.55/3.79 cnf(260,plain,
% 3.55/3.79 (P4(f11(x2601),f22(x2601))),
% 3.55/3.79 inference(rename_variables,[],[67])).
% 3.55/3.79 cnf(262,plain,
% 3.55/3.79 (P3(a15,f25(a13,a14))),
% 3.55/3.79 inference(scs_inference,[],[3,212,218,45,67,257,7,15,18,32,33,80])).
% 3.55/3.79 cnf(266,plain,
% 3.55/3.79 (~P9(x2661,f11(x2662))),
% 3.55/3.79 inference(scs_inference,[],[3,196,212,218,66,45,67,257,7,15,18,32,33,80,5,84])).
% 3.55/3.79 cnf(268,plain,
% 3.55/3.79 (E(f30(a13,a14,a12,a15),f26(a13,a14,a12,a15))),
% 3.55/3.79 inference(scs_inference,[],[3,194,196,212,218,66,45,67,257,7,15,18,32,33,80,5,84,89])).
% 3.55/3.79 cnf(269,plain,
% 3.55/3.79 (P4(f26(a13,x2691,a12,f11(f25(a13,x2691))),f22(x2691))),
% 3.55/3.79 inference(scs_inference,[],[4,3,194,196,212,218,66,45,67,257,260,7,15,18,32,33,80,5,84,89,36])).
% 3.55/3.79 cnf(272,plain,
% 3.55/3.79 (P9(f3(a12),a12)),
% 3.55/3.79 inference(scs_inference,[],[4,3,194,196,182,212,218,66,45,249,67,257,260,7,15,18,32,33,80,5,84,89,36,78])).
% 3.55/3.79 cnf(273,plain,
% 3.55/3.79 (P4(f3(x2731),x2731)),
% 3.55/3.79 inference(rename_variables,[],[45])).
% 3.55/3.79 cnf(275,plain,
% 3.55/3.79 (~P9(x2751,f3(f22(f31(a1,a1))))),
% 3.55/3.79 inference(scs_inference,[],[4,3,194,196,182,239,212,218,66,45,249,273,67,257,260,7,15,18,32,33,80,5,84,89,36,78,82])).
% 3.55/3.79 cnf(276,plain,
% 3.55/3.79 (P4(f3(x2761),x2761)),
% 3.55/3.79 inference(rename_variables,[],[45])).
% 3.55/3.79 cnf(278,plain,
% 3.55/3.79 (~P9(x2781,f31(a15,f31(a1,f16(x2782))))),
% 3.55/3.79 inference(scs_inference,[],[4,3,194,196,167,182,239,212,254,218,66,45,249,273,67,257,260,7,15,18,32,33,80,5,84,89,36,78,82,164])).
% 3.55/3.79 cnf(279,plain,
% 3.55/3.79 (~P9(x2791,f31(a1,f16(x2792)))),
% 3.55/3.79 inference(rename_variables,[],[212])).
% 3.55/3.79 cnf(285,plain,
% 3.55/3.79 (P4(f3(f26(a13,a14,a12,a15)),f30(a13,a14,a12,a15))),
% 3.55/3.79 inference(scs_inference,[],[4,3,194,206,196,167,182,240,239,212,254,215,218,66,45,249,273,276,67,257,260,7,15,18,32,33,80,5,84,89,36,78,82,164,87,90,150])).
% 3.55/3.79 cnf(287,plain,
% 3.55/3.79 (~E(a1,f26(a13,a14,a12,a15))),
% 3.55/3.79 inference(scs_inference,[],[1,4,3,194,206,171,196,167,182,240,239,212,254,215,218,66,45,249,273,276,67,257,260,7,15,18,32,33,80,5,84,89,36,78,82,164,87,90,150,151])).
% 3.55/3.79 cnf(289,plain,
% 3.55/3.79 (P2(f31(f31(a1,a1),x2891))),
% 3.55/3.79 inference(scs_inference,[],[1,4,3,194,206,171,196,167,182,240,239,212,254,215,241,218,66,45,249,273,276,67,257,260,54,7,15,18,32,33,80,5,84,89,36,78,82,164,87,90,150,151,145])).
% 3.55/3.79 cnf(290,plain,
% 3.55/3.79 (P7(f6(f26(a13,a14,a12,a15),f24(x2901,x2902)),f30(a13,a14,a12,a15),f24(x2902,x2901))),
% 3.55/3.79 inference(scs_inference,[],[1,4,3,194,206,171,196,167,182,223,240,239,212,254,215,241,218,66,45,249,273,276,67,257,260,54,7,15,18,32,33,80,5,84,89,36,78,82,164,87,90,150,151,145,147])).
% 3.55/3.79 cnf(292,plain,
% 3.55/3.79 (P7(f6(f24(x2921,x2922),f26(a13,a14,a12,a15)),f24(x2922,x2921),f30(a13,a14,a12,a15))),
% 3.55/3.79 inference(scs_inference,[],[1,4,3,194,206,171,196,167,182,221,223,240,239,212,254,215,241,218,66,45,249,273,276,67,257,260,54,7,15,18,32,33,80,5,84,89,36,78,82,164,87,90,150,151,145,147,148])).
% 3.55/3.79 cnf(294,plain,
% 3.55/3.79 (P6(f5(f26(a13,a14,a12,a15),f24(x2941,x2942)),f30(a13,a14,a12,a15),f24(x2942,x2941))),
% 3.55/3.79 inference(scs_inference,[],[1,4,3,194,206,171,196,167,182,221,223,227,240,239,212,254,215,241,218,66,45,249,273,276,67,257,260,54,7,15,18,32,33,80,5,84,89,36,78,82,164,87,90,150,151,145,147,148,155])).
% 3.55/3.79 cnf(296,plain,
% 3.55/3.79 (P6(f5(f24(x2961,x2962),f26(a13,a14,a12,a15)),f24(x2962,x2961),f30(a13,a14,a12,a15))),
% 3.55/3.79 inference(scs_inference,[],[1,4,3,194,206,171,196,167,182,221,223,225,227,240,239,212,254,215,241,218,66,45,249,273,276,67,257,260,54,7,15,18,32,33,80,5,84,89,36,78,82,164,87,90,150,151,145,147,148,155,156])).
% 3.55/3.79 cnf(301,plain,
% 3.55/3.79 (P1(f31(f31(a1,a1),x3011))),
% 3.55/3.79 inference(scs_inference,[],[1,4,3,194,206,171,196,167,182,221,223,225,227,240,239,212,254,215,241,55,218,66,45,249,273,276,67,257,260,43,47,54,7,15,18,32,33,80,5,84,89,36,78,82,164,87,90,150,151,145,147,148,155,156,157,162,142])).
% 3.55/3.79 cnf(302,plain,
% 3.55/3.79 (~E(a12,f31(a1,f16(x3021)))),
% 3.55/3.79 inference(scs_inference,[],[1,4,3,194,206,169,171,196,167,182,221,223,225,227,240,239,212,254,279,215,241,55,218,66,45,249,273,276,67,257,260,43,47,54,7,15,18,32,33,80,5,84,89,36,78,82,164,87,90,150,151,145,147,148,155,156,157,162,142,144])).
% 3.55/3.79 cnf(303,plain,
% 3.55/3.79 (~P9(x3031,f31(a1,f16(x3032)))),
% 3.55/3.79 inference(rename_variables,[],[212])).
% 3.55/3.79 cnf(305,plain,
% 3.55/3.79 (~P9(x3051,a2)),
% 3.55/3.79 inference(rename_variables,[],[190])).
% 3.55/3.79 cnf(310,plain,
% 3.55/3.79 (P9(f18(a2,x3101,a12),a12)),
% 3.55/3.79 inference(scs_inference,[],[1,4,3,194,206,169,171,196,167,182,221,223,225,227,240,239,212,254,279,303,215,190,305,241,235,55,218,66,45,249,273,276,67,257,260,43,47,57,54,7,15,18,32,33,80,5,84,89,36,78,82,164,87,90,150,151,145,147,148,155,156,157,162,142,144,14,9,10])).
% 3.55/3.79 cnf(314,plain,
% 3.55/3.79 (~P1(f26(a13,a14,a12,a15))),
% 3.55/3.79 inference(scs_inference,[],[1,4,3,194,206,169,176,171,196,167,182,221,223,225,227,240,239,212,254,279,303,215,190,305,241,235,55,218,66,45,249,273,276,67,257,260,43,47,57,54,7,15,18,32,33,80,5,84,89,36,78,82,164,87,90,150,151,145,147,148,155,156,157,162,142,144,14,9,10,160,85])).
% 3.55/3.79 cnf(321,plain,
% 3.55/3.79 (P2(f11(f25(x3211,x3212)))),
% 3.55/3.79 inference(scs_inference,[],[67,7])).
% 3.55/3.79 cnf(324,plain,
% 3.55/3.79 (P3(f26(a13,a14,a12,a15),a14)),
% 3.55/3.79 inference(scs_inference,[],[192,67,7,80])).
% 3.55/3.79 cnf(328,plain,
% 3.55/3.79 (P3(f11(x3281),x3282)),
% 3.55/3.79 inference(scs_inference,[],[192,251,266,67,7,80,5,18])).
% 3.55/3.79 cnf(329,plain,
% 3.55/3.79 (~P9(x3291,f11(x3292))),
% 3.55/3.79 inference(rename_variables,[],[266])).
% 3.55/3.79 cnf(331,plain,
% 3.55/3.79 (~P9(x3311,f31(f31(a1,a1),x3312))),
% 3.55/3.79 inference(scs_inference,[],[192,251,266,301,67,7,80,5,18,84])).
% 3.55/3.79 cnf(333,plain,
% 3.55/3.79 (E(f31(a1,a1),a2)),
% 3.55/3.79 inference(scs_inference,[],[192,251,266,301,232,67,7,80,5,18,84,89])).
% 3.55/3.79 cnf(334,plain,
% 3.55/3.79 (P9(f3(f26(a13,a14,a12,a15)),f26(a13,a14,a12,a15))),
% 3.55/3.79 inference(scs_inference,[],[192,314,251,266,301,232,45,67,7,80,5,18,84,89,78])).
% 3.55/3.79 cnf(335,plain,
% 3.55/3.79 (P4(f3(x3351),x3351)),
% 3.55/3.79 inference(rename_variables,[],[45])).
% 3.55/3.79 cnf(339,plain,
% 3.55/3.79 (~P1(a14)),
% 3.55/3.79 inference(scs_inference,[],[4,192,314,251,272,266,301,232,45,67,7,80,5,18,84,89,78,81,82])).
% 3.55/3.79 cnf(341,plain,
% 3.55/3.79 (~P9(x3411,f31(f11(f25(x3412,x3413)),f16(x3414)))),
% 3.55/3.79 inference(scs_inference,[],[4,192,314,251,272,266,329,301,232,45,67,7,80,5,18,84,89,78,81,82,87])).
% 3.55/3.79 cnf(342,plain,
% 3.55/3.79 (~P9(x3421,f11(x3422))),
% 3.55/3.79 inference(rename_variables,[],[266])).
% 3.55/3.79 cnf(344,plain,
% 3.55/3.79 (P9(f3(a12),a13)),
% 3.55/3.79 inference(scs_inference,[],[4,180,192,314,251,272,266,329,301,232,45,67,7,80,5,18,84,89,78,81,82,87,19])).
% 3.55/3.79 cnf(353,plain,
% 3.55/3.79 (P4(f3(f30(a13,a14,a12,a15)),f26(a13,a14,a12,a15))),
% 3.55/3.79 inference(scs_inference,[],[1,4,180,192,268,314,253,287,251,272,8,266,329,290,294,301,232,45,335,67,7,80,5,18,84,89,78,81,82,87,19,151,148,156,90,150])).
% 3.55/3.79 cnf(364,plain,
% 3.55/3.79 (~P1(f30(a13,a14,a12,a15))),
% 3.55/3.79 inference(scs_inference,[],[1,4,180,192,275,268,314,253,287,251,272,8,266,329,290,292,294,296,301,232,45,335,67,27,7,80,5,18,84,89,78,81,82,87,19,151,148,156,90,150,144,147,155,162,152,142])).
% 3.55/3.79 cnf(368,plain,
% 3.55/3.79 (P9(f18(a1,f16(x3681),a12),a12)),
% 3.55/3.79 inference(scs_inference,[],[1,4,180,192,275,268,314,253,287,251,272,166,8,266,329,342,290,292,294,296,301,232,302,45,335,67,27,54,7,80,5,18,84,89,78,81,82,87,19,151,148,156,90,150,144,147,155,162,152,142,14,10])).
% 3.55/3.79 cnf(382,plain,
% 3.55/3.79 (P3(f31(a1,a1),x3821)),
% 3.55/3.79 inference(scs_inference,[],[203,334,215,5,80,18])).
% 3.55/3.79 cnf(383,plain,
% 3.55/3.79 (~P9(x3831,f31(a1,a1))),
% 3.55/3.79 inference(rename_variables,[],[215])).
% 3.55/3.79 cnf(385,plain,
% 3.55/3.79 (E(f31(f31(a1,a1),x3851),a1)),
% 3.55/3.79 inference(scs_inference,[],[203,334,241,215,5,80,18,89])).
% 3.55/3.79 cnf(386,plain,
% 3.55/3.79 (~P9(x3861,f31(f11(f25(x3862,x3863)),f31(a1,a1)))),
% 3.55/3.79 inference(scs_inference,[],[203,321,334,241,215,383,5,80,18,89,164])).
% 3.55/3.79 cnf(389,plain,
% 3.55/3.79 (P9(f3(a14),a14)),
% 3.55/3.79 inference(scs_inference,[],[203,321,334,339,241,215,383,45,5,80,18,89,164,78])).
% 3.55/3.79 cnf(394,plain,
% 3.55/3.79 (P9(f3(f26(a13,a14,a12,a15)),a14)),
% 3.55/3.79 inference(scs_inference,[],[203,192,321,334,324,339,241,215,383,45,5,80,18,89,164,78,81,19])).
% 3.55/3.79 cnf(396,plain,
% 3.55/3.79 (~P9(x3961,f31(a2,f16(x3962)))),
% 3.55/3.79 inference(scs_inference,[],[203,192,321,334,324,339,241,215,383,190,45,57,5,80,18,89,164,78,81,19,87])).
% 3.55/3.79 cnf(399,plain,
% 3.55/3.79 (P7(f6(f24(x3991,x3992),f27(a13,a15)),f24(x3992,x3991),f29(a14,a13,a15))),
% 3.55/3.79 inference(scs_inference,[],[203,192,321,334,184,324,339,241,215,383,190,221,45,57,5,80,18,89,164,78,81,19,87,148])).
% 3.55/3.79 cnf(401,plain,
% 3.55/3.79 (P6(f5(f24(x4011,x4012),f27(a13,a15)),f24(x4012,x4011),f29(a14,a13,a15))),
% 3.55/3.79 inference(scs_inference,[],[203,192,321,334,184,324,339,241,215,383,190,221,225,45,57,5,80,18,89,164,78,81,19,87,148,156])).
% 3.55/3.79 cnf(408,plain,
% 3.55/3.79 (P7(f6(f27(a13,a15),f24(x4081,x4082)),f29(a14,a13,a15),f24(x4082,x4081))),
% 3.55/3.79 inference(scs_inference,[],[1,2,203,192,328,321,334,184,324,339,275,241,215,383,190,221,223,225,45,57,5,80,18,89,164,78,81,19,87,148,156,151,90,144,147])).
% 3.55/3.79 cnf(410,plain,
% 3.55/3.79 (P6(f5(f27(a13,a15),f24(x4101,x4102)),f29(a14,a13,a15),f24(x4102,x4101))),
% 3.55/3.79 inference(scs_inference,[],[1,2,203,192,328,321,334,184,324,339,275,241,215,383,190,221,223,225,227,45,57,5,80,18,89,164,78,81,19,87,148,156,151,90,144,147,155])).
% 3.55/3.79 cnf(432,plain,
% 3.55/3.79 (P3(f26(a13,x4321,a12,f11(f25(a13,x4321))),x4321)),
% 3.55/3.79 inference(scs_inference,[],[269,389,5,80])).
% 3.55/3.79 cnf(434,plain,
% 3.55/3.79 (P3(f31(f11(f25(x4341,x4342)),f16(x4343)),x4344)),
% 3.55/3.79 inference(scs_inference,[],[269,389,341,5,80,18])).
% 3.55/3.79 cnf(437,plain,
% 3.55/3.79 (P9(f3(f30(a13,a14,a12,a15)),f26(a13,a14,a12,a15))),
% 3.55/3.79 inference(scs_inference,[],[353,269,389,314,341,5,80,18,78])).
% 3.55/3.79 cnf(439,plain,
% 3.55/3.79 (~P9(x4391,f31(f31(f31(a1,a1),x4392),f16(x4393)))),
% 3.55/3.79 inference(scs_inference,[],[353,269,389,314,341,331,289,5,80,18,78,87])).
% 3.55/3.79 cnf(456,plain,
% 3.55/3.79 (P5(f23(f31(a1,a1)),a2)),
% 3.55/3.79 inference(scs_inference,[],[1,333,353,382,269,389,275,314,341,331,8,399,401,408,410,289,45,27,5,80,18,78,87,148,156,151,144,147,155,150,162])).
% 3.55/3.79 cnf(472,plain,
% 3.55/3.79 (P3(f31(a2,f16(x4721)),x4722)),
% 3.55/3.79 inference(scs_inference,[],[437,396,5,18])).
% 3.55/3.79 cnf(475,plain,
% 3.55/3.79 (P3(f32(x4751,f11(f22(x4751))),x4751)),
% 3.55/3.79 inference(scs_inference,[],[437,396,187,5,18,80])).
% 3.55/3.79 cnf(477,plain,
% 3.55/3.79 (P9(f3(f26(a13,a14,a12,a15)),f30(a13,a14,a12,a15))),
% 3.55/3.79 inference(scs_inference,[],[437,285,396,187,364,5,18,80,78])).
% 3.55/3.79 cnf(481,plain,
% 3.55/3.79 (P9(f3(f30(a13,a14,a12,a15)),a14)),
% 3.55/3.79 inference(scs_inference,[],[192,324,437,285,396,187,364,5,18,80,78,81,19])).
% 3.55/3.79 cnf(485,plain,
% 3.55/3.79 (P6(f5(f24(x4851,x4852),f31(f31(a1,a1),x4853)),f24(x4852,x4851),a1)),
% 3.55/3.79 inference(scs_inference,[],[385,192,324,437,285,169,275,396,187,364,225,5,18,80,78,81,19,144,156])).
% 3.55/3.79 cnf(487,plain,
% 3.55/3.79 (P7(f6(f24(x4871,x4872),f31(f31(a1,a1),x4873)),f24(x4872,x4871),a1)),
% 3.55/3.79 inference(scs_inference,[],[385,192,324,437,285,169,275,396,187,364,221,225,5,18,80,78,81,19,144,156,148])).
% 3.55/3.79 cnf(491,plain,
% 3.55/3.79 (P6(f5(f31(f31(a1,a1),x4911),f24(x4912,x4913)),a1,f24(x4913,x4912))),
% 3.55/3.79 inference(scs_inference,[],[1,385,192,324,434,437,285,169,275,396,187,364,221,225,227,5,18,80,78,81,19,144,156,148,151,155])).
% 3.55/3.79 cnf(493,plain,
% 3.55/3.79 (P7(f6(f31(f31(a1,a1),x4931),f24(x4932,x4933)),a1,f24(x4933,x4932))),
% 3.55/3.79 inference(scs_inference,[],[1,385,192,324,434,437,285,169,275,396,187,364,221,223,225,227,5,18,80,78,81,19,144,156,148,151,155,147])).
% 3.55/3.79 cnf(495,plain,
% 3.55/3.79 (P4(f3(f31(f31(a1,a1),x4951)),a1)),
% 3.55/3.79 inference(scs_inference,[],[1,385,192,324,434,437,285,169,275,396,187,364,221,223,225,227,45,5,18,80,78,81,19,144,156,148,151,155,147,150])).
% 3.55/3.79 cnf(497,plain,
% 3.55/3.79 (P5(f4(f31(f31(a1,a1),x4971)),a1)),
% 3.55/3.79 inference(scs_inference,[],[1,385,192,324,434,437,285,169,275,396,187,364,221,223,225,227,45,43,5,18,80,78,81,19,144,156,148,151,155,147,150,162])).
% 3.55/3.79 cnf(512,plain,
% 3.55/3.79 (P3(f31(f31(a1,a1),x5121),x5122)),
% 3.55/3.79 inference(scs_inference,[],[477,331,5,18])).
% 3.55/3.79 cnf(515,plain,
% 3.55/3.79 (P3(f3(f22(x5151)),x5151)),
% 3.55/3.79 inference(scs_inference,[],[477,331,45,5,18,80])).
% 3.55/3.79 cnf(518,plain,
% 3.55/3.79 (P9(a15,f22(f25(a13,a14)))),
% 3.55/3.79 inference(scs_inference,[],[3,477,331,45,50,5,18,80,78])).
% 3.55/3.79 cnf(525,plain,
% 3.55/3.79 (P6(f5(f24(x5251,x5252),f31(f31(a1,a1),x5253)),f24(x5252,x5251),f31(f31(a1,a1),x5254))),
% 3.55/3.79 inference(scs_inference,[],[1,3,477,472,275,241,331,485,45,50,5,18,80,78,144,151,156])).
% 3.55/3.79 cnf(526,plain,
% 3.55/3.79 (P7(f6(f24(x5261,x5262),f31(f31(a1,a1),x5263)),f24(x5262,x5261),f31(f31(a1,a1),x5264))),
% 3.55/3.79 inference(scs_inference,[],[1,3,477,472,275,241,331,485,487,45,50,5,18,80,78,144,151,156,148])).
% 3.55/3.79 cnf(527,plain,
% 3.55/3.79 (P4(f3(f31(f31(a1,a1),x5271)),f31(f31(a1,a1),x5272))),
% 3.55/3.79 inference(scs_inference,[],[1,3,477,472,495,275,241,331,485,487,45,50,5,18,80,78,144,151,156,148,150])).
% 3.55/3.79 cnf(533,plain,
% 3.55/3.79 (P4(x5331,x5332)+~P9(x5331,f26(a13,x5332,a12,f11(f25(a13,x5332))))),
% 3.55/3.79 inference(scs_inference,[],[1,3,477,472,495,269,275,241,331,8,485,487,45,497,50,5,18,80,78,144,151,156,148,150,155,162,147,81])).
% 3.55/3.79 cnf(545,plain,
% 3.55/3.79 (P9(f3(f16(x5451)),f16(x5451))),
% 3.55/3.79 inference(scs_inference,[],[518,190,45,52,5,18,78])).
% 3.55/3.79 cnf(550,plain,
% 3.55/3.79 (P6(f5(f31(f31(a1,a1),x5501),f24(x5502,x5503)),a1,f24(x5502,x5503))),
% 3.55/3.79 inference(scs_inference,[],[518,275,8,190,491,45,52,5,18,78,144,156])).
% 3.55/3.79 cnf(552,plain,
% 3.55/3.79 (P7(f6(f31(f31(a1,a1),x5521),f24(x5522,x5523)),a1,f24(x5522,x5523))),
% 3.55/3.79 inference(scs_inference,[],[518,275,8,190,491,493,45,52,5,18,78,144,156,148])).
% 3.55/3.79 cnf(554,plain,
% 3.55/3.79 (P5(f23(f31(f31(a1,a1),x5541)),a1)),
% 3.55/3.79 inference(scs_inference,[],[385,518,275,8,190,491,493,45,52,27,5,18,78,144,156,148,162])).
% 3.55/3.79 cnf(562,plain,
% 3.55/3.79 (P4(x5621,x5622)+~P9(x5621,f32(x5622,f11(f22(x5622))))),
% 3.55/3.79 inference(scs_inference,[],[1,385,515,518,275,8,190,525,526,491,493,187,45,52,27,5,18,78,144,156,148,162,155,151,147,81])).
% 3.55/3.79 cnf(568,plain,
% 3.55/3.79 (~P9(f16(x5681),f3(f16(x5681)))),
% 3.55/3.79 inference(scs_inference,[],[545,5])).
% 3.55/3.79 cnf(573,plain,
% 3.55/3.79 (P9(f3(f24(x5731,x5732)),f24(x5732,x5731))),
% 3.55/3.79 inference(scs_inference,[],[204,545,439,53,5,18,78])).
% 3.55/3.79 cnf(578,plain,
% 3.55/3.79 (P6(f8(x5781,f31(f31(a1,a1),x5782)),x5781,a1)),
% 3.55/3.79 inference(scs_inference,[],[385,204,545,275,439,63,53,5,18,78,144,156])).
% 3.55/3.79 cnf(580,plain,
% 3.55/3.79 (P7(f6(x5801,f31(f31(a1,a1),x5802)),x5801,a1)),
% 3.55/3.80 inference(scs_inference,[],[385,204,545,275,439,63,53,46,5,18,78,144,156,148])).
% 3.55/3.80 cnf(587,plain,
% 3.55/3.80 (P4(x5871,x5872)+~P9(x5871,f3(f22(x5872)))),
% 3.55/3.80 inference(scs_inference,[],[1,385,512,204,545,275,241,439,550,552,45,63,554,53,46,5,18,78,144,156,148,155,147,162,151,81])).
% 3.55/3.80 cnf(602,plain,
% 3.55/3.80 (P6(f8(f31(f31(a1,a1),x6021),f31(f31(a1,a1),x6022)),a1,a1)),
% 3.55/3.80 inference(scs_inference,[],[385,573,275,386,578,5,18,144,155])).
% 3.55/3.80 cnf(604,plain,
% 3.55/3.80 (P7(f6(f31(f31(a1,a1),x6041),f31(f31(a1,a1),x6042)),a1,a1)),
% 3.55/3.80 inference(scs_inference,[],[385,573,275,386,578,580,5,18,144,155,147])).
% 3.55/3.80 cnf(623,plain,
% 3.55/3.80 (P7(f6(f31(f31(a1,a1),x6231),f31(f31(a1,a1),x6232)),f31(f31(a1,a1),x6233),a1)),
% 3.55/3.80 inference(scs_inference,[],[272,275,241,210,602,604,5,144,155,147])).
% 3.55/3.80 cnf(624,plain,
% 3.55/3.80 (P6(f8(f31(f31(a1,a1),x6241),f31(f31(a1,a1),x6242)),a1,f31(f31(a1,a1),x6243))),
% 3.55/3.80 inference(scs_inference,[],[272,275,241,210,602,604,5,144,155,147,156])).
% 3.55/3.80 cnf(644,plain,
% 3.55/3.80 (P6(f5(f31(f31(a1,a1),x6441),x6442),a1,x6442)),
% 3.55/3.80 inference(scs_inference,[],[385,394,44,5,155])).
% 3.55/3.80 cnf(646,plain,
% 3.55/3.80 (P7(f6(f31(f31(a1,a1),x6461),x6462),a1,x6462)),
% 3.55/3.80 inference(scs_inference,[],[385,394,44,46,5,155,147])).
% 3.55/3.80 cnf(648,plain,
% 3.55/3.80 (P6(f8(x6481,f31(f31(a1,a1),x6482)),x6481,f31(f31(a1,a1),x6483))),
% 3.55/3.80 inference(scs_inference,[],[385,241,394,578,44,46,5,155,147,156])).
% 3.55/3.80 cnf(668,plain,
% 3.55/3.80 (P6(f5(f31(f31(a1,a1),x6681),f31(f31(a1,a1),x6682)),a1,a1)),
% 3.55/3.80 inference(scs_inference,[],[385,241,344,644,646,5,147,155,156])).
% 3.55/3.80 cnf(684,plain,
% 3.55/3.80 (P6(f5(f31(f31(a1,a1),x6841),f31(f31(a1,a1),x6842)),f31(f31(a1,a1),x6843),a1)),
% 3.55/3.80 inference(scs_inference,[],[241,481,668,5,155])).
% 3.55/3.80 cnf(738,plain,
% 3.55/3.80 (P6(x7381,x7382,f31(f31(a1,a1),x7383))+~E(f8(x7382,f31(f31(a1,a1),x7384)),x7381)),
% 3.55/3.80 inference(scs_inference,[],[194,184,262,196,368,648,278,5,87,145,152,143,153,154])).
% 3.55/3.80 cnf(793,plain,
% 3.55/3.80 (P4(x7931,f22(x7932))+~E(f26(a13,x7932,a12,f11(f25(a13,x7932))),x7931)),
% 3.55/3.80 inference(scs_inference,[],[269,149])).
% 3.55/3.80 cnf(878,plain,
% 3.55/3.80 (P4(f26(a13,a14,a12,a15),x8781)+~E(f22(a14),x8781)),
% 3.55/3.80 inference(scs_inference,[],[192,527,8,408,554,161,157,149,146,150])).
% 3.55/3.80 cnf(905,plain,
% 3.55/3.80 (P4(f28(x9051,x9052,f11(f25(x9051,f22(x9052))),x9053),f22(f22(x9052)))),
% 3.55/3.80 inference(scs_inference,[],[67,28])).
% 3.55/3.80 cnf(906,plain,
% 3.55/3.80 (P4(f11(x9061),f22(x9061))),
% 3.55/3.80 inference(rename_variables,[],[67])).
% 3.55/3.80 cnf(908,plain,
% 3.55/3.80 (E(f29(x9081,x9082,f11(f25(x9082,x9081))),f27(x9082,f11(f25(x9082,x9081))))),
% 3.55/3.80 inference(scs_inference,[],[67,906,28,71])).
% 3.55/3.80 cnf(909,plain,
% 3.55/3.80 (P4(f11(x9091),f22(x9091))),
% 3.55/3.80 inference(rename_variables,[],[67])).
% 3.55/3.80 cnf(911,plain,
% 3.55/3.80 (P4(f32(x9111,f26(a13,f22(x9111),a12,f11(f25(a13,f22(x9111))))),f22(x9111))),
% 3.55/3.80 inference(scs_inference,[],[269,67,906,28,71,37])).
% 3.55/3.80 cnf(912,plain,
% 3.55/3.80 (P4(f26(a13,x9121,a12,f11(f25(a13,x9121))),f22(x9121))),
% 3.55/3.80 inference(rename_variables,[],[269])).
% 3.55/3.80 cnf(915,plain,
% 3.55/3.80 (P4(f26(a13,x9151,a12,f11(f25(a13,x9151))),f22(x9151))),
% 3.55/3.80 inference(rename_variables,[],[269])).
% 3.55/3.80 cnf(918,plain,
% 3.55/3.80 (P4(f26(a13,x9181,a12,f11(f25(a13,x9181))),f22(x9181))),
% 3.55/3.80 inference(rename_variables,[],[269])).
% 3.55/3.80 cnf(921,plain,
% 3.55/3.80 (P4(f26(a13,x9211,a12,f11(f25(a13,x9211))),f22(x9211))),
% 3.55/3.80 inference(rename_variables,[],[269])).
% 3.55/3.80 cnf(925,plain,
% 3.55/3.80 (P3(f3(f22(f31(a1,a1))),x9251)),
% 3.55/3.80 inference(scs_inference,[],[269,912,915,918,275,67,906,28,71,37,32,33,7,80,18])).
% 3.55/3.80 cnf(926,plain,
% 3.55/3.80 (~P9(x9261,f3(f22(f31(a1,a1))))),
% 3.55/3.80 inference(rename_variables,[],[275])).
% 3.55/3.80 cnf(929,plain,
% 3.55/3.80 (~P9(x9291,f31(f11(f25(x9292,x9293)),x9294))),
% 3.55/3.80 inference(scs_inference,[],[269,912,915,918,275,321,67,906,266,28,71,37,32,33,7,80,18,89,165])).
% 3.55/3.80 cnf(930,plain,
% 3.55/3.80 (~P9(x9301,f11(x9302))),
% 3.55/3.80 inference(rename_variables,[],[266])).
% 3.55/3.80 cnf(932,plain,
% 3.55/3.80 (~P9(x9321,f31(f3(f22(f25(x9322,x9323))),f31(a1,f16(x9324))))),
% 3.55/3.80 inference(scs_inference,[],[269,912,915,918,275,248,321,67,906,212,266,28,71,37,32,33,7,80,18,89,165,164])).
% 3.55/3.80 cnf(935,plain,
% 3.55/3.80 (P4(f26(f25(a13,a14),x9351,a15,f11(f25(f25(a13,a14),x9351))),f22(x9351))),
% 3.55/3.80 inference(scs_inference,[],[3,269,912,915,918,275,248,321,67,906,909,212,266,28,71,37,32,33,7,80,18,89,165,164,36])).
% 3.55/3.80 cnf(938,plain,
% 3.55/3.80 (~P9(x9381,f26(a13,f31(a1,a1),a12,f11(f25(a13,f31(a1,a1)))))),
% 3.55/3.80 inference(scs_inference,[],[3,269,912,915,918,921,275,248,321,67,906,909,212,266,239,28,71,37,32,33,7,80,18,89,165,164,36,82])).
% 3.55/3.80 cnf(942,plain,
% 3.55/3.80 (P3(f3(f22(x9421)),x9421)),
% 3.55/3.80 inference(rename_variables,[],[515])).
% 3.55/3.80 cnf(946,plain,
% 3.55/3.80 (P3(f3(f22(f31(f31(a1,a1),x9461))),a1)),
% 3.55/3.80 inference(scs_inference,[],[3,385,269,912,915,918,921,259,275,926,515,942,248,321,67,906,909,212,266,239,28,71,37,32,33,7,80,18,89,165,164,36,82,19,158,152])).
% 3.55/3.80 cnf(948,plain,
% 3.55/3.80 (P7(f27(x9481,f11(f25(x9481,x9482))),f22(x9481),f22(x9482))),
% 3.55/3.80 inference(scs_inference,[],[3,385,269,912,915,918,921,259,275,926,515,942,256,248,321,67,906,909,212,266,239,28,71,37,32,33,7,80,18,89,165,164,36,82,19,158,152,146])).
% 3.55/3.80 cnf(953,plain,
% 3.55/3.80 (P6(f8(f31(f31(a1,a1),x9531),f31(f31(a1,a1),x9532)),f31(f31(a1,a1),x9533),f31(f31(a1,a1),x9534))),
% 3.55/3.80 inference(scs_inference,[],[1,3,385,269,912,915,918,921,259,275,926,515,942,256,475,248,321,67,906,909,212,241,266,239,623,624,28,71,37,32,33,7,80,18,89,165,164,36,82,19,158,152,146,151,148,155])).
% 3.55/3.80 cnf(958,plain,
% 3.55/3.80 (P4(x9581,f22(x9582))+~P9(x9581,f28(x9583,x9582,f11(f25(x9583,f22(x9582))),x9584))),
% 3.55/3.80 inference(scs_inference,[],[1,3,385,269,912,915,918,921,259,545,275,926,515,942,256,475,248,321,67,906,909,212,241,266,930,239,623,624,684,28,71,37,32,33,7,80,18,89,165,164,36,82,19,158,152,146,151,148,155,156,14,81])).
% 3.55/3.80 cnf(968,plain,
% 3.55/3.80 (P4(f28(x9681,x9682,f3(f22(f25(x9681,f22(x9682)))),x9683),f22(f22(x9682)))),
% 3.55/3.80 inference(scs_inference,[],[45,28])).
% 3.55/3.80 cnf(969,plain,
% 3.55/3.80 (P4(f3(x9691),x9691)),
% 3.55/3.80 inference(rename_variables,[],[45])).
% 3.55/3.80 cnf(972,plain,
% 3.55/3.80 (P4(f26(f25(a13,a14),x9721,a15,f11(f25(f25(a13,a14),x9721))),f22(x9721))),
% 3.55/3.80 inference(rename_variables,[],[935])).
% 3.55/3.80 cnf(975,plain,
% 3.55/3.80 (P4(f26(f25(a13,a14),x9751,a15,f11(f25(f25(a13,a14),x9751))),f22(x9751))),
% 3.55/3.80 inference(rename_variables,[],[935])).
% 3.55/3.80 cnf(978,plain,
% 3.55/3.80 (P4(f26(f25(a13,a14),x9781,a15,f11(f25(f25(a13,a14),x9781))),f22(x9781))),
% 3.55/3.80 inference(rename_variables,[],[935])).
% 3.55/3.80 cnf(981,plain,
% 3.55/3.80 (P4(f26(f25(a13,a14),x9811,a15,f11(f25(f25(a13,a14),x9811))),f22(x9811))),
% 3.55/3.80 inference(rename_variables,[],[935])).
% 3.55/3.80 cnf(983,plain,
% 3.55/3.80 (P3(f26(f25(a13,a14),x9831,a15,f11(f25(f25(a13,a14),x9831))),x9831)),
% 3.55/3.80 inference(scs_inference,[],[935,972,975,978,981,45,28,37,32,33,7,80])).
% 3.55/3.80 cnf(988,plain,
% 3.55/3.80 (~P9(x9881,f31(a1,x9882))),
% 3.55/3.80 inference(scs_inference,[],[935,972,975,978,981,166,45,278,54,28,37,32,33,7,80,18,165])).
% 3.55/3.80 cnf(989,plain,
% 3.55/3.80 (~P9(x9891,a1)),
% 3.55/3.80 inference(rename_variables,[],[166])).
% 3.55/3.80 cnf(991,plain,
% 3.55/3.80 (P4(f26(f25(a13,a14),x9911,a15,f3(f22(f25(f25(a13,a14),x9911)))),f22(x9911))),
% 3.55/3.80 inference(scs_inference,[],[3,935,972,975,978,981,166,45,969,278,54,28,37,32,33,7,80,18,165,36])).
% 3.55/3.80 cnf(999,plain,
% 3.55/3.80 (P3(f26(a13,f31(f31(a1,a1),x9991),a12,f11(f25(a13,f31(f31(a1,a1),x9991)))),a1)),
% 3.55/3.80 inference(scs_inference,[],[3,385,269,935,972,975,978,981,432,946,166,989,45,969,66,278,54,28,37,32,33,7,80,18,165,36,82,19,152])).
% 3.55/3.80 cnf(1004,plain,
% 3.55/3.80 (~P9(x10041,f31(f31(a1,a1),x10042))),
% 3.55/3.80 inference(rename_variables,[],[331])).
% 3.55/3.80 cnf(1006,plain,
% 3.55/3.80 (P9(f18(f31(f31(a1,a1),x10061),x10062,f16(x10063)),f16(x10063))),
% 3.55/3.80 inference(scs_inference,[],[1,3,385,269,545,925,935,972,975,978,981,432,946,166,989,331,1004,45,969,66,278,289,54,28,37,32,33,7,80,18,165,36,82,19,152,151,14,10])).
% 3.55/3.80 cnf(1019,plain,
% 3.55/3.80 (P4(f32(x10191,f3(f22(f22(x10191)))),f22(x10191))),
% 3.55/3.80 inference(scs_inference,[],[45,37])).
% 3.55/3.80 cnf(1020,plain,
% 3.55/3.80 (P4(f3(x10201),x10201)),
% 3.55/3.80 inference(rename_variables,[],[45])).
% 3.55/3.80 cnf(1022,plain,
% 3.55/3.80 (P7(f29(x10221,x10222,f3(f22(f25(x10222,x10221)))),f22(x10222),f22(x10221))),
% 3.55/3.80 inference(scs_inference,[],[45,1020,37,32])).
% 3.55/3.80 cnf(1023,plain,
% 3.55/3.80 (P4(f3(x10231),x10231)),
% 3.55/3.80 inference(rename_variables,[],[45])).
% 3.55/3.80 cnf(1029,plain,
% 3.55/3.80 (P4(f26(f25(a13,a14),x10291,a15,f3(f22(f25(f25(a13,a14),x10291)))),f22(x10291))),
% 3.55/3.80 inference(rename_variables,[],[991])).
% 3.55/3.80 cnf(1036,plain,
% 3.55/3.80 (~P9(x10361,f31(a2,x10362))),
% 3.55/3.80 inference(scs_inference,[],[991,1029,45,1020,1023,190,929,57,37,32,33,7,80,18,165])).
% 3.55/3.80 cnf(1037,plain,
% 3.55/3.80 (~P9(x10371,a2)),
% 3.55/3.80 inference(rename_variables,[],[190])).
% 3.55/3.80 cnf(1045,plain,
% 3.55/3.80 (P3(f26(f25(a13,a14),x10451,a15,f11(f25(f25(a13,a14),x10451))),x10451)),
% 3.55/3.80 inference(rename_variables,[],[983])).
% 3.55/3.80 cnf(1048,plain,
% 3.55/3.80 (~E(f16(x10481),f31(a2,x10482))),
% 3.55/3.80 inference(scs_inference,[],[1,385,545,991,1029,983,1045,999,166,45,1020,1023,190,1037,239,929,57,37,32,33,7,80,18,165,82,19,152,151,14])).
% 3.55/3.80 cnf(1061,plain,
% 3.55/3.80 (P4(f32(x10611,f32(f22(x10611),f11(f22(f22(x10611))))),f22(x10611))),
% 3.55/3.80 inference(scs_inference,[],[187,37])).
% 3.55/3.80 cnf(1062,plain,
% 3.55/3.80 (P4(f32(x10621,f11(f22(x10621))),f22(x10621))),
% 3.55/3.80 inference(rename_variables,[],[187])).
% 3.55/3.80 cnf(1064,plain,
% 3.55/3.80 (P7(f29(x10641,x10642,f32(f25(x10642,x10641),f11(f22(f25(x10642,x10641))))),f22(x10642),f22(x10641))),
% 3.55/3.80 inference(scs_inference,[],[187,1062,37,32])).
% 3.55/3.80 cnf(1065,plain,
% 3.55/3.80 (P4(f32(x10651,f11(f22(x10651))),f22(x10651))),
% 3.55/3.80 inference(rename_variables,[],[187])).
% 3.55/3.80 cnf(1068,plain,
% 3.55/3.80 (P4(f32(x10681,f11(f22(x10681))),f22(x10681))),
% 3.55/3.80 inference(rename_variables,[],[187])).
% 3.55/3.80 cnf(1070,plain,
% 3.55/3.80 (P2(f32(f25(x10701,x10702),f11(f22(f25(x10701,x10702)))))),
% 3.55/3.80 inference(scs_inference,[],[187,1062,1065,1068,37,32,33,7])).
% 3.55/3.80 cnf(1075,plain,
% 3.55/3.80 (P3(f31(a1,x10751),x10752)),
% 3.55/3.80 inference(scs_inference,[],[187,1062,1065,1068,988,1019,37,32,33,7,80,18])).
% 3.55/3.80 cnf(1078,plain,
% 3.55/3.80 (~P9(x10781,f26(a13,a1,a12,f11(f25(a13,a1))))),
% 3.55/3.80 inference(scs_inference,[],[269,187,1062,1065,1068,55,988,1019,37,32,33,7,80,18,82])).
% 3.55/3.80 cnf(1094,plain,
% 3.55/3.80 (P4(f32(x10941,f28(x10942,x10941,f11(f25(x10942,f22(x10941))),x10943)),f22(x10941))),
% 3.55/3.80 inference(scs_inference,[],[905,37])).
% 3.55/3.80 cnf(1101,plain,
% 3.55/3.80 (P3(f26(a13,a1,a12,f11(f25(a13,a1))),x11011)),
% 3.55/3.80 inference(scs_inference,[],[1078,1061,905,1019,37,7,80,18])).
% 3.55/3.80 cnf(1104,plain,
% 3.55/3.80 (~P9(x11041,f26(a13,a2,a12,f11(f25(a13,a2))))),
% 3.55/3.80 inference(scs_inference,[],[269,1078,58,1061,905,1019,37,7,80,18,82])).
% 3.55/3.80 cnf(1121,plain,
% 3.55/3.80 (P3(f26(a13,a2,a12,f11(f25(a13,a2))),x11211)),
% 3.55/3.80 inference(scs_inference,[],[1104,1094,80,18])).
% 3.55/3.80 cnf(1141,plain,
% 3.55/3.80 (P3(f31(a2,x11411),x11412)),
% 3.55/3.80 inference(scs_inference,[],[1036,968,80,18])).
% 3.55/3.80 cnf(1147,plain,
% 3.55/3.80 (~E(f31(a1,x11471),f26(a13,a14,a12,a15))),
% 3.55/3.80 inference(scs_inference,[],[1,935,1075,239,1036,968,80,18,82,151])).
% 3.55/3.80 cnf(1178,plain,
% 3.55/3.80 (~E(f26(a13,a1,a12,f11(f25(a13,a1))),f26(a13,a14,a12,a15))),
% 3.55/3.80 inference(scs_inference,[],[1,935,1101,58,911,80,82,151])).
% 3.55/3.80 cnf(1187,plain,
% 3.55/3.80 (~P1(f9(a13))),
% 3.55/3.80 inference(scs_inference,[],[201,59])).
% 3.55/3.80 cnf(1195,plain,
% 3.55/3.80 (P7(f8(f31(f31(a1,a1),x11951),f31(f31(a1,a1),x11952)),f31(f31(a1,a1),x11953),f31(f31(a1,a1),x11954))),
% 3.55/3.80 inference(scs_inference,[],[69,1006,953,201,59,76,30,31,73])).
% 3.55/3.80 cnf(1199,plain,
% 3.55/3.80 (P4(f31(a2,x11991),f22(x11992))),
% 3.55/3.80 inference(scs_inference,[],[69,1022,1141,1006,953,201,59,76,30,31,73,74,79])).
% 3.55/3.80 cnf(1201,plain,
% 3.55/3.80 (P4(f9(a13),f22(a13))),
% 3.55/3.80 inference(scs_inference,[],[69,1022,1141,1006,953,201,59,76,30,31,73,74,79,60])).
% 3.55/3.80 cnf(1213,plain,
% 3.55/3.80 (P4(f27(x12131,f11(f25(x12131,x12132))),f22(f25(f22(x12131),f22(x12132))))),
% 3.55/3.80 inference(scs_inference,[],[69,1022,1141,948,1006,953,201,456,232,59,76,30,31,73,74,79,60,39,91,92,93,94,95,112,140,141,42])).
% 3.55/3.80 cnf(1242,plain,
% 3.55/3.80 (E(f26(a2,x12421,x12422,x12423),f26(f31(a1,a1),x12421,x12422,x12423))),
% 3.55/3.80 inference(scs_inference,[],[69,1022,1141,948,1006,953,201,456,232,59,76,30,31,73,74,79,60,39,91,92,93,94,95,112,140,141,42,96,97,98,99,108,109,110,111,117,118,119,120,121,122,129,130,138,139,123,124,125,126,127,128,135,136,137,100])).
% 3.55/3.80 cnf(1243,plain,
% 3.55/3.80 (E(f26(x12431,a2,x12432,x12433),f26(x12431,f31(a1,a1),x12432,x12433))),
% 3.55/3.80 inference(scs_inference,[],[69,1022,1141,948,1006,953,201,456,232,59,76,30,31,73,74,79,60,39,91,92,93,94,95,112,140,141,42,96,97,98,99,108,109,110,111,117,118,119,120,121,122,129,130,138,139,123,124,125,126,127,128,135,136,137,100,101])).
% 3.55/3.80 cnf(1258,plain,
% 3.55/3.80 (P6(f8(f31(a1,a1),f31(f31(a1,a1),x12581)),a2,f31(f31(a1,a1),x12582))),
% 3.55/3.80 inference(scs_inference,[],[69,1022,1141,948,1006,953,201,456,232,59,76,30,31,73,74,79,60,39,91,92,93,94,95,112,140,141,42,96,97,98,99,108,109,110,111,117,118,119,120,121,122,129,130,138,139,123,124,125,126,127,128,135,136,137,100,101,102,103,104,105,106,107,113,114,115,116,131,132,133,134,738])).
% 3.55/3.80 cnf(1259,plain,
% 3.55/3.80 (~E(f16(x12591),a1)),
% 3.55/3.80 inference(scs_inference,[],[69,1022,1141,948,1006,953,201,456,232,59,76,30,31,73,74,79,60,39,91,92,93,94,95,112,140,141,42,96,97,98,99,108,109,110,111,117,118,119,120,121,122,129,130,138,139,123,124,125,126,127,128,135,136,137,100,101,102,103,104,105,106,107,113,114,115,116,131,132,133,134,738,16])).
% 3.55/3.80 cnf(1261,plain,
% 3.55/3.80 (P2(f11(x12611))),
% 3.55/3.80 inference(scs_inference,[],[69,1022,1141,948,1006,953,201,456,66,232,59,76,30,31,73,74,79,60,39,91,92,93,94,95,112,140,141,42,96,97,98,99,108,109,110,111,117,118,119,120,121,122,129,130,138,139,123,124,125,126,127,128,135,136,137,100,101,102,103,104,105,106,107,113,114,115,116,131,132,133,134,738,16,6])).
% 3.55/3.80 cnf(1263,plain,
% 3.55/3.80 (~P9(f21(f26(a13,a14,a12,a15),f31(a15,a12)),f31(a15,a12))),
% 3.55/3.80 inference(scs_inference,[],[1,69,1022,1141,948,1006,953,201,456,66,232,59,76,30,31,73,74,79,60,39,91,92,93,94,95,112,140,141,42,96,97,98,99,108,109,110,111,117,118,119,120,121,122,129,130,138,139,123,124,125,126,127,128,135,136,137,100,101,102,103,104,105,106,107,113,114,115,116,131,132,133,134,738,16,6,17])).
% 3.55/3.80 cnf(1268,plain,
% 3.55/3.80 (E(f11(x12681),a1)),
% 3.55/3.80 inference(scs_inference,[],[1,69,1022,1141,948,1006,953,201,456,66,232,67,59,76,30,31,73,74,79,60,39,91,92,93,94,95,112,140,141,42,96,97,98,99,108,109,110,111,117,118,119,120,121,122,129,130,138,139,123,124,125,126,127,128,135,136,137,100,101,102,103,104,105,106,107,113,114,115,116,131,132,133,134,738,16,6,17,34,83])).
% 3.55/3.80 cnf(1271,plain,
% 3.55/3.80 (~P9(x12711,f26(a13,a2,a12,f11(f25(a13,a2))))),
% 3.55/3.80 inference(rename_variables,[],[1104])).
% 3.55/3.80 cnf(1275,plain,
% 3.55/3.80 (P9(f21(f26(a13,a14,a12,a15),f31(a15,a12)),f26(a13,a14,a12,a15))),
% 3.55/3.80 inference(scs_inference,[],[1,69,1022,1141,948,1006,953,201,1104,456,66,232,67,59,76,30,31,73,74,79,60,39,91,92,93,94,95,112,140,141,42,96,97,98,99,108,109,110,111,117,118,119,120,121,122,129,130,138,139,123,124,125,126,127,128,135,136,137,100,101,102,103,104,105,106,107,113,114,115,116,131,132,133,134,738,16,6,17,34,83,15,80,18])).
% 3.55/3.80 cnf(1282,plain,
% 3.55/3.80 (~P4(f16(x12821),f22(f11(x12822)))),
% 3.55/3.80 inference(scs_inference,[],[1,69,1147,1022,1141,948,1006,953,201,1104,456,66,232,67,59,76,30,31,73,74,79,60,39,91,92,93,94,95,112,140,141,42,96,97,98,99,108,109,110,111,117,118,119,120,121,122,129,130,138,139,123,124,125,126,127,128,135,136,137,100,101,102,103,104,105,106,107,113,114,115,116,131,132,133,134,738,16,6,17,34,83,15,80,18,89,5,56,82])).
% 3.55/3.80 cnf(1284,plain,
% 3.55/3.80 (P1(f26(a13,a2,a12,f11(f25(a13,a2))))),
% 3.55/3.80 inference(scs_inference,[],[1,69,1147,1022,1141,948,1006,953,201,1104,1271,456,66,232,67,45,59,76,30,31,73,74,79,60,39,91,92,93,94,95,112,140,141,42,96,97,98,99,108,109,110,111,117,118,119,120,121,122,129,130,138,139,123,124,125,126,127,128,135,136,137,100,101,102,103,104,105,106,107,113,114,115,116,131,132,133,134,738,16,6,17,34,83,15,80,18,89,5,56,82,78])).
% 3.55/3.80 cnf(1288,plain,
% 3.55/3.80 (~P3(f16(x12881),f31(f3(f22(f25(x12882,x12883))),f31(a1,f16(x12884))))),
% 3.55/3.80 inference(scs_inference,[],[1,69,1147,1022,932,1141,948,1006,953,201,1104,1271,456,66,232,67,45,59,76,30,31,73,74,79,60,39,91,92,93,94,95,112,140,141,42,96,97,98,99,108,109,110,111,117,118,119,120,121,122,129,130,138,139,123,124,125,126,127,128,135,136,137,100,101,102,103,104,105,106,107,113,114,115,116,131,132,133,134,738,16,6,17,34,83,15,80,18,89,5,56,82,78,19])).
% 3.55/3.80 cnf(1289,plain,
% 3.55/3.80 (~P9(x12891,f31(f3(f22(f25(x12892,x12893))),f31(a1,f16(x12894))))),
% 3.55/3.80 inference(rename_variables,[],[932])).
% 3.55/3.80 cnf(1293,plain,
% 3.55/3.80 (~E(f11(x12931),a13)),
% 3.55/3.80 inference(scs_inference,[],[1,69,1147,1178,1022,932,1141,948,1006,953,201,1104,1271,456,66,232,67,192,268,45,59,76,30,31,73,74,79,60,39,91,92,93,94,95,112,140,141,42,96,97,98,99,108,109,110,111,117,118,119,120,121,122,129,130,138,139,123,124,125,126,127,128,135,136,137,100,101,102,103,104,105,106,107,113,114,115,116,131,132,133,134,738,16,6,17,34,83,15,80,18,89,5,56,82,78,19,90,150,142])).
% 3.55/3.80 cnf(1300,plain,
% 3.55/3.80 (~P3(f30(a13,a14,a12,a15),f31(a15,a12))),
% 3.55/3.80 inference(scs_inference,[],[1,69,1147,568,1178,1022,932,1289,1141,948,1006,953,908,201,1104,1271,456,66,232,67,192,268,45,59,76,30,31,73,74,79,60,39,91,92,93,94,95,112,140,141,42,96,97,98,99,108,109,110,111,117,118,119,120,121,122,129,130,138,139,123,124,125,126,127,128,135,136,137,100,101,102,103,104,105,106,107,113,114,115,116,131,132,133,134,738,16,6,17,34,83,15,80,18,89,5,56,82,78,19,90,150,142,144,153,143,149,151])).
% 3.55/3.80 cnf(1301,plain,
% 3.55/3.80 (~P9(x13011,f31(a10,a2))),
% 3.55/3.80 inference(scs_inference,[],[1,69,1147,568,1178,1022,932,1289,1141,948,1006,953,908,201,1104,1271,456,988,66,232,67,192,268,45,59,76,30,31,73,74,79,60,39,91,92,93,94,95,112,140,141,42,96,97,98,99,108,109,110,111,117,118,119,120,121,122,129,130,138,139,123,124,125,126,127,128,135,136,137,100,101,102,103,104,105,106,107,113,114,115,116,131,132,133,134,738,16,6,17,34,83,15,80,18,89,5,56,82,78,19,90,150,142,144,153,143,149,151,13])).
% 3.55/3.80 cnf(1302,plain,
% 3.55/3.80 (~P9(x13021,f31(a1,x13022))),
% 3.55/3.80 inference(rename_variables,[],[988])).
% 3.55/3.80 cnf(1307,plain,
% 3.55/3.80 (P9(f18(a2,x13071,f16(x13072)),f16(x13072))),
% 3.55/3.80 inference(scs_inference,[],[1,69,1147,568,1178,1022,932,1289,1141,1048,948,1006,953,908,201,248,1104,1271,456,988,1302,66,232,67,192,190,57,268,45,59,76,30,31,73,74,79,60,39,91,92,93,94,95,112,140,141,42,96,97,98,99,108,109,110,111,117,118,119,120,121,122,129,130,138,139,123,124,125,126,127,128,135,136,137,100,101,102,103,104,105,106,107,113,114,115,116,131,132,133,134,738,16,6,17,34,83,15,80,18,89,5,56,82,78,19,90,150,142,144,153,143,149,151,13,9,10])).
% 3.55/3.80 cnf(1380,plain,
% 3.55/3.80 (P4(f31(a2,x13801),f22(x13802))),
% 3.55/3.80 inference(rename_variables,[],[1199])).
% 3.55/3.80 cnf(1437,plain,
% 3.55/3.80 (~P9(x14371,f31(a10,a2))),
% 3.55/3.80 inference(rename_variables,[],[1301])).
% 3.55/3.80 cnf(1447,plain,
% 3.55/3.80 (P4(f31(a2,x14471),f22(x14472))),
% 3.55/3.80 inference(rename_variables,[],[1199])).
% 3.55/3.80 cnf(1452,plain,
% 3.55/3.80 (P4(f31(a2,x14521),f22(x14522))),
% 3.55/3.80 inference(rename_variables,[],[1199])).
% 3.55/3.80 cnf(1455,plain,
% 3.55/3.80 (~P9(x14551,f31(a10,a2))),
% 3.55/3.80 inference(rename_variables,[],[1301])).
% 3.55/3.80 cnf(1458,plain,
% 3.55/3.80 (P4(f31(a2,x14581),f22(x14582))),
% 3.55/3.80 inference(rename_variables,[],[1199])).
% 3.55/3.80 cnf(1461,plain,
% 3.55/3.80 (P2(f11(x14611))),
% 3.55/3.80 inference(rename_variables,[],[1261])).
% 3.55/3.80 cnf(1462,plain,
% 3.55/3.80 (~P9(x14621,f11(x14622))),
% 3.55/3.80 inference(rename_variables,[],[266])).
% 3.55/3.80 cnf(1470,plain,
% 3.55/3.80 (~P9(x14701,f31(a10,a2))),
% 3.55/3.80 inference(rename_variables,[],[1301])).
% 3.55/3.80 cnf(1474,plain,
% 3.55/3.80 (E(f11(x14741),a1)),
% 3.55/3.80 inference(rename_variables,[],[1268])).
% 3.55/3.80 cnf(1482,plain,
% 3.55/3.80 (P3(x14821,x14821)),
% 3.55/3.80 inference(rename_variables,[],[75])).
% 3.55/3.80 cnf(1490,plain,
% 3.55/3.80 (~P9(x14901,f31(a10,a2))),
% 3.55/3.80 inference(rename_variables,[],[1301])).
% 3.55/3.80 cnf(1494,plain,
% 3.55/3.80 (~P9(x14941,f31(a10,a2))),
% 3.55/3.80 inference(rename_variables,[],[1301])).
% 3.55/3.80 cnf(1497,plain,
% 3.55/3.80 (P2(f11(x14971))),
% 3.55/3.80 inference(rename_variables,[],[1261])).
% 3.55/3.80 cnf(1498,plain,
% 3.55/3.80 (~P9(x14981,f11(x14982))),
% 3.55/3.80 inference(rename_variables,[],[266])).
% 3.55/3.80 cnf(1511,plain,
% 3.55/3.80 ($false),
% 3.55/3.80 inference(scs_inference,[],[1261,1461,1497,1199,1380,1447,1452,1458,1300,1301,1437,1455,1470,1490,1494,1187,1201,1259,1268,1474,1293,1275,1307,1263,1282,1242,1243,1284,1258,1195,1213,1288,1070,938,1064,1121,167,1078,50,497,310,75,1482,266,1462,1498,58,67,4,45,3,562,533,958,59,76,30,31,73,74,60,39,587,42,79,16,6,17,34,83,92,93,95,112,140,141,96,97,98,99,108,109,111,117,118,119,120,121,122,129,130,138,139,123,124,125,126,127,128,135,136,137,100,101,102,103,104,105,106,107,113,114,115,116,131,132,133,134,793,91,94,110,15,80,18,89,5,20,56,72,164,36,165,82,78,19,145,90,150,142,144,152,149,151,163,13,9,14,10,77,878,738,84,87]),
% 3.55/3.80 ['proof']).
% 3.55/3.80 % SZS output end Proof
% 3.55/3.80 % Total time : 3.170000 s
%------------------------------------------------------------------------------