0.03/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s 0.07/0.29 % Computer : n024.cluster.edu 0.07/0.29 % Model : x86_64 x86_64 0.07/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.07/0.29 % Memory : 8042.1875MB 0.07/0.29 % OS : Linux 3.10.0-693.el7.x86_64 0.07/0.29 % CPULimit : 960 0.07/0.29 % WCLimit : 120 0.07/0.29 % DateTime : Tue Aug 9 04:08:52 EDT 2022 0.07/0.29 % CPUTime : 0.13/0.49 start to proof:theBenchmark 1.60/1.71 %------------------------------------------- 1.60/1.71 % File :CSE---1.5 1.60/1.71 % Problem :theBenchmark 1.60/1.71 % Transform :cnf 1.60/1.71 % Format :tptp:raw 1.60/1.71 % Command :java -jar mcs_scs.jar %d %s 1.60/1.71 1.60/1.71 % Result :Theorem 1.150000s 1.60/1.71 % Output :CNFRefutation 1.150000s 1.60/1.71 %------------------------------------------- 1.60/1.71 include('Axioms/GEO004+0.ax'). 1.60/1.71 include('Axioms/GEO004+1.ax'). 1.60/1.71 include('Axioms/GEO004+2.ax'). 1.60/1.71 fof(theorem_4_11,conjecture, 1.60/1.71 ! [O] : 1.60/1.71 ? [P,Q] : 1.60/1.71 ( P != Q 1.60/1.71 & ordered_by(O,P,Q) ) ). 1.60/1.71 1.60/1.71 %------------------------------------------- 1.60/1.71 % Proof found 1.60/1.71 % SZS status Theorem for theBenchmark 1.60/1.71 % SZS output start Proof 1.60/1.72 %ClaNum:175(EqnAxiom:89) 1.60/1.72 %VarNum:705(SingletonVarNum:247) 1.60/1.72 %MaxLitNum:12 1.60/1.72 %MaxfuncDepth:2 1.60/1.72 %SharedTerms:1 1.60/1.72 %goalClause: 127 1.60/1.72 [90]P1(f1(x901)) 1.60/1.72 [91]P2(f11(x911),x911) 1.60/1.72 [92]P11(f12(x921),x921) 1.60/1.72 [93]P3(x931)+P6(f17(x931),x931) 1.60/1.72 [95]~P1(x951)+P6(f18(x951),x951) 1.60/1.72 [94]P1(x941)+~P6(x942,x941) 1.60/1.72 [97]~P3(x971)+~P6(x972,x971) 1.60/1.72 [98]~P2(x981,x982)+P7(x981,x982) 1.60/1.72 [99]~P6(x991,x992)+P7(x991,x992) 1.60/1.72 [100]~P8(x1001,x1002)+P9(x1001,x1002) 1.60/1.72 [101]~P11(x1011,x1012)+P9(x1011,x1012) 1.60/1.72 [103]~P6(x1031,x1032)+~P2(x1031,x1032) 1.60/1.72 [127]E(x1271,x1272)+~P13(a20,x1271,x1272) 1.60/1.72 [102]~P9(x1021,x1022)+P7(x1021,f1(x1022)) 1.60/1.72 [106]~P6(x1062,x1061)+~E(f23(x1061,x1062),x1062) 1.60/1.72 [107]P9(x1071,x1072)+~P7(x1071,f1(x1072)) 1.60/1.72 [109]P12(x1091,x1092)+P7(f13(x1092,x1091),x1091) 1.60/1.72 [115]~P6(x1152,x1151)+P6(f23(x1151,x1152),x1151) 1.60/1.72 [124]P12(x1241,x1242)+~P7(f13(x1242,x1241),x1242) 1.60/1.72 [137]~P2(x1371,x1372)+P10(x1371,f5(x1372,x1371),f6(x1372,x1371)) 1.60/1.72 [128]~P2(x1282,x1281)+E(f27(f5(x1281,x1282),f6(x1281,x1282)),x1281) 1.60/1.72 [129]P7(x1291,x1292)+~P10(x1291,x1293,x1292) 1.60/1.72 [130]P7(x1301,x1302)+~P10(x1301,x1302,x1303) 1.60/1.72 [131]P9(x1311,x1312)+~P13(x1312,x1313,x1311) 1.60/1.72 [132]P9(x1321,x1322)+~P13(x1322,x1321,x1323) 1.60/1.72 [135]~P10(x1353,x1351,x1352)+E(f21(x1351,x1352),f27(x1351,x1352)) 1.60/1.72 [157]~E(x1571,x1572)+~P4(x1573,x1572,x1574,x1571) 1.60/1.72 [167]~P4(x1672,x1673,x1671,x1674)+P2(x1671,f8(x1672,x1673,x1671,x1674)) 1.60/1.72 [168]~P4(x1682,x1683,x1684,x1681)+P6(x1681,f8(x1682,x1683,x1684,x1681)) 1.60/1.72 [169]~P4(x1692,x1691,x1693,x1694)+P6(x1691,f8(x1692,x1691,x1693,x1694)) 1.60/1.72 [170]~P4(x1701,x1702,x1703,x1704)+P12(f8(x1701,x1702,x1703,x1704),x1701) 1.60/1.72 [172]~P5(x1724,x1721,x1722,x1723)+P4(f9(x1721,x1722,x1723,x1724),x1721,x1722,x1723) 1.60/1.72 [96]P1(x961)+~P12(x961,x962)+E(x961,x962) 1.60/1.72 [108]P6(x1081,x1082)+~P7(x1081,x1082)+P2(x1081,x1082) 1.60/1.72 [113]~P9(x1131,x1132)+P11(x1131,x1132)+~E(f2(x1131,x1132),x1131) 1.60/1.72 [114]~P9(x1141,x1142)+P8(x1141,x1142)+~E(f3(x1141,x1142),x1141) 1.60/1.72 [118]~P7(x1181,x1182)+P6(x1181,x1182)+P7(x1181,f4(x1181,x1182)) 1.60/1.72 [119]~P7(x1191,x1192)+P6(x1191,x1192)+P7(x1191,f7(x1191,x1192)) 1.60/1.72 [120]~P7(x1201,x1202)+P6(x1201,x1202)+P12(f4(x1201,x1202),x1202) 1.60/1.72 [121]~P7(x1211,x1212)+P6(x1211,x1212)+P12(f7(x1211,x1212),x1212) 1.60/1.72 [122]~P9(x1221,x1222)+P8(x1221,x1222)+P9(f3(x1221,x1222),x1222) 1.60/1.72 [123]~P9(x1231,x1232)+P11(x1231,x1232)+P9(f2(x1231,x1232),x1232) 1.60/1.72 [125]E(x1251,x1252)+P7(f22(x1251,x1252),x1252)+P7(f22(x1251,x1252),x1251) 1.60/1.72 [126]P7(f19(x1262,x1261),x1262)+P9(f19(x1262,x1261),x1261)+E(f26(x1261),x1262) 1.60/1.72 [136]E(x1361,x1362)+~P7(f22(x1361,x1362),x1362)+~P7(f22(x1361,x1362),x1361) 1.60/1.72 [138]~P7(f19(x1382,x1381),x1382)+~P9(f19(x1382,x1381),x1381)+E(f26(x1381),x1382) 1.60/1.72 [139]~P7(x1391,x1392)+P6(x1391,x1392)+~P12(f4(x1391,x1392),f7(x1391,x1392)) 1.60/1.72 [140]~P7(x1401,x1402)+P6(x1401,x1402)+~P12(f7(x1401,x1402),f4(x1401,x1402)) 1.60/1.72 [144]~P9(x1441,x1442)+P11(x1441,x1442)+~P13(x1442,x1441,f2(x1441,x1442)) 1.60/1.72 [145]~P9(x1451,x1452)+P8(x1451,x1452)+~P13(x1452,f3(x1451,x1452),x1451) 1.60/1.72 [148]E(x1481,x1482)+P13(x1482,f15(x1481,x1482),f16(x1481,x1482))+P13(x1481,f15(x1481,x1482),f16(x1481,x1482)) 1.60/1.72 [154]E(x1541,x1542)+~P13(x1542,f15(x1541,x1542),f16(x1541,x1542))+~P13(x1541,f15(x1541,x1542),f16(x1541,x1542)) 1.60/1.72 [110]~P12(x1103,x1102)+P7(x1101,x1102)+~P7(x1101,x1103) 1.60/1.72 [104]~P9(x1041,x1043)+P7(x1041,x1042)+~E(f26(x1043),x1042) 1.60/1.72 [105]~P7(x1051,x1053)+P9(x1051,x1052)+~E(f26(x1052),x1053) 1.60/1.72 [158]~P7(f25(x1581,x1582,x1583),x1583)+~P7(f25(x1581,x1582,x1583),x1581)+E(x1581,f27(x1582,x1583)) 1.60/1.72 [159]~P7(f25(x1591,x1592,x1593),x1592)+~P7(f25(x1591,x1592,x1593),x1591)+E(x1591,f27(x1592,x1593)) 1.60/1.72 [160]~P13(x1601,x1603,x1602)+~P13(x1601,x1604,x1603)+P5(x1601,x1602,x1603,x1604) 1.60/1.72 [161]~P13(x1611,x1612,x1613)+~P13(x1611,x1613,x1614)+P5(x1611,x1612,x1613,x1614) 1.60/1.72 [163]~P5(x1631,x1632,x1633,x1634)+P13(x1631,x1632,x1633)+P13(x1631,x1634,x1633) 1.60/1.72 [164]P13(x1641,x1643,x1642)+P13(x1641,x1642,x1643)+~P5(x1641,x1644,x1642,x1643) 1.60/1.72 [165]P13(x1651,x1653,x1652)+P13(x1651,x1652,x1653)+~P5(x1651,x1652,x1653,x1654) 1.60/1.72 [166]~P5(x1661,x1664,x1662,x1663)+P13(x1661,x1662,x1663)+P13(x1661,x1662,x1664) 1.60/1.72 [111]~P7(x1111,x1114)+P7(x1111,x1112)+~E(x1112,f27(x1113,x1114)) 1.60/1.72 [112]~P7(x1121,x1123)+P7(x1121,x1122)+~E(x1122,f27(x1123,x1124)) 1.60/1.72 [171]~P9(x1711,x1715)+~P5(x1715,x1712,x1713,x1714)+P7(x1711,f9(x1712,x1713,x1714,x1715)) 1.60/1.72 [173]P9(x1731,x1732)+~P5(x1732,x1733,x1734,x1735)+~P7(x1731,f9(x1733,x1734,x1735,x1732)) 1.60/1.72 [133]~P9(x1331,x1333)+~P11(x1332,x1333)+E(x1331,x1332)+P13(x1333,x1332,x1331) 1.60/1.72 [134]~P8(x1342,x1343)+~P9(x1341,x1343)+E(x1341,x1342)+P13(x1343,x1341,x1342) 1.60/1.72 [150]~P7(x1501,x1503)+~P7(x1501,x1502)+P10(x1501,x1502,x1503)+P7(f24(x1501,x1502,x1503),x1503) 1.60/1.72 [151]~P7(x1511,x1513)+~P7(x1511,x1512)+P10(x1511,x1512,x1513)+P7(f24(x1511,x1512,x1513),x1512) 1.60/1.72 [156]P7(f25(x1561,x1562,x1563),x1563)+P7(f25(x1561,x1562,x1563),x1562)+P7(f25(x1561,x1562,x1563),x1561)+E(x1561,f27(x1562,x1563)) 1.60/1.72 [142]~P7(x1421,x1422)+P6(x1421,x1422)+~P10(x1424,x1423,x1422)+~P7(x1421,x1423) 1.60/1.72 [143]~P7(x1431,x1432)+P6(x1431,x1432)+~P10(x1434,x1432,x1433)+~P7(x1431,x1433) 1.60/1.72 [117]~P7(x1171,x1174)+P7(x1171,x1172)+P7(x1171,x1173)+~E(x1174,f27(x1172,x1173)) 1.60/1.72 [174]~P4(x1745,x1742,x1743,x1744)+P5(x1741,x1742,x1743,x1744)+P7(f10(x1742,x1743,x1744,x1741,x1745),x1745)+P9(f10(x1742,x1743,x1744,x1741,x1745),x1741) 1.60/1.72 [175]P5(x1751,x1752,x1753,x1754)+~P4(x1755,x1752,x1753,x1754)+~P7(f10(x1752,x1753,x1754,x1751,x1755),x1755)+~P9(f10(x1752,x1753,x1754,x1751,x1755),x1751) 1.60/1.72 [149]~P1(x1493)+~P7(x1492,x1493)+~P7(x1491,x1493)+E(x1491,x1492)+P13(f14(x1491,x1492,x1493),x1491,x1492) 1.60/1.72 [162]~P7(x1621,x1623)+~P7(x1621,x1622)+P10(x1621,x1622,x1623)+~P6(f24(x1621,x1622,x1623),x1623)+~P6(f24(x1621,x1622,x1623),x1622) 1.60/1.72 [146]~P3(x1464)+~P6(x1461,x1462)+P10(x1461,x1462,x1463)+~P10(x1465,x1462,x1463)+~E(f27(x1462,x1463),x1464) 1.60/1.72 [116]E(x1163,x1161)+~P6(x1161,x1164)+~P6(x1163,x1164)+E(x1161,x1162)+E(x1163,x1162)+~P6(x1162,x1164) 1.60/1.72 [147]~P1(x1474)+~P7(x1472,x1474)+~P7(x1471,x1474)+~P7(x1473,x1474)+E(x1471,x1472)+P9(x1473,f14(x1471,x1472,x1474)) 1.60/1.72 [153]~P1(x1534)+~P7(x1532,x1534)+~P7(x1531,x1534)+E(x1531,x1532)+P7(x1533,x1534)+~P9(x1533,f14(x1531,x1532,x1534)) 1.60/1.72 [155]~P2(x1554,x1555)+~P6(x1552,x1555)+~P6(x1551,x1555)+E(x1551,x1552)+P4(x1553,x1552,x1554,x1551)+~P12(x1555,x1553) 1.60/1.72 [141]P12(x1412,x1411)+~P7(x1413,x1412)+~P12(x1412,x1414)+~P6(x1413,x1414)+P12(x1411,x1412)+~P7(x1413,x1411)+~P12(x1411,x1414) 1.60/1.72 [152]P12(x1522,x1521)+P12(x1522,x1523)+P12(x1523,x1521)+P12(x1523,x1522)+~P12(x1522,x1524)+~P12(x1523,x1524)+~P6(x1525,x1522)+~P6(x1525,x1523)+P12(x1521,x1522)+P12(x1521,x1523)+~P12(x1521,x1524)+~P6(x1525,x1521) 1.60/1.72 %EqnAxiom 1.60/1.72 [1]E(x11,x11) 1.60/1.72 [2]E(x22,x21)+~E(x21,x22) 1.60/1.72 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) 1.60/1.72 [4]~E(x41,x42)+E(f1(x41),f1(x42)) 1.60/1.72 [5]~E(x51,x52)+E(f11(x51),f11(x52)) 1.60/1.72 [6]~E(x61,x62)+E(f12(x61),f12(x62)) 1.60/1.72 [7]~E(x71,x72)+E(f17(x71),f17(x72)) 1.60/1.72 [8]~E(x81,x82)+E(f18(x81),f18(x82)) 1.60/1.72 [9]~E(x91,x92)+E(f10(x91,x93,x94,x95,x96),f10(x92,x93,x94,x95,x96)) 1.60/1.72 [10]~E(x101,x102)+E(f10(x103,x101,x104,x105,x106),f10(x103,x102,x104,x105,x106)) 1.60/1.72 [11]~E(x111,x112)+E(f10(x113,x114,x111,x115,x116),f10(x113,x114,x112,x115,x116)) 1.60/1.72 [12]~E(x121,x122)+E(f10(x123,x124,x125,x121,x126),f10(x123,x124,x125,x122,x126)) 1.60/1.72 [13]~E(x131,x132)+E(f10(x133,x134,x135,x136,x131),f10(x133,x134,x135,x136,x132)) 1.60/1.72 [14]~E(x141,x142)+E(f26(x141),f26(x142)) 1.60/1.72 [15]~E(x151,x152)+E(f9(x151,x153,x154,x155),f9(x152,x153,x154,x155)) 1.60/1.72 [16]~E(x161,x162)+E(f9(x163,x161,x164,x165),f9(x163,x162,x164,x165)) 1.60/1.72 [17]~E(x171,x172)+E(f9(x173,x174,x171,x175),f9(x173,x174,x172,x175)) 1.60/1.72 [18]~E(x181,x182)+E(f9(x183,x184,x185,x181),f9(x183,x184,x185,x182)) 1.60/1.72 [19]~E(x191,x192)+E(f23(x191,x193),f23(x192,x193)) 1.60/1.72 [20]~E(x201,x202)+E(f23(x203,x201),f23(x203,x202)) 1.60/1.72 [21]~E(x211,x212)+E(f8(x211,x213,x214,x215),f8(x212,x213,x214,x215)) 1.60/1.72 [22]~E(x221,x222)+E(f8(x223,x221,x224,x225),f8(x223,x222,x224,x225)) 1.60/1.72 [23]~E(x231,x232)+E(f8(x233,x234,x231,x235),f8(x233,x234,x232,x235)) 1.60/1.72 [24]~E(x241,x242)+E(f8(x243,x244,x245,x241),f8(x243,x244,x245,x242)) 1.60/1.72 [25]~E(x251,x252)+E(f13(x251,x253),f13(x252,x253)) 1.60/1.72 [26]~E(x261,x262)+E(f13(x263,x261),f13(x263,x262)) 1.60/1.72 [27]~E(x271,x272)+E(f27(x271,x273),f27(x272,x273)) 1.60/1.72 [28]~E(x281,x282)+E(f27(x283,x281),f27(x283,x282)) 1.60/1.72 [29]~E(x291,x292)+E(f25(x291,x293,x294),f25(x292,x293,x294)) 1.60/1.72 [30]~E(x301,x302)+E(f25(x303,x301,x304),f25(x303,x302,x304)) 1.60/1.72 [31]~E(x311,x312)+E(f25(x313,x314,x311),f25(x313,x314,x312)) 1.60/1.72 [32]~E(x321,x322)+E(f2(x321,x323),f2(x322,x323)) 1.60/1.72 [33]~E(x331,x332)+E(f2(x333,x331),f2(x333,x332)) 1.60/1.72 [34]~E(x341,x342)+E(f3(x341,x343),f3(x342,x343)) 1.60/1.72 [35]~E(x351,x352)+E(f3(x353,x351),f3(x353,x352)) 1.60/1.72 [36]~E(x361,x362)+E(f24(x361,x363,x364),f24(x362,x363,x364)) 1.60/1.72 [37]~E(x371,x372)+E(f24(x373,x371,x374),f24(x373,x372,x374)) 1.60/1.72 [38]~E(x381,x382)+E(f24(x383,x384,x381),f24(x383,x384,x382)) 1.60/1.72 [39]~E(x391,x392)+E(f16(x391,x393),f16(x392,x393)) 1.60/1.72 [40]~E(x401,x402)+E(f16(x403,x401),f16(x403,x402)) 1.60/1.72 [41]~E(x411,x412)+E(f4(x411,x413),f4(x412,x413)) 1.60/1.72 [42]~E(x421,x422)+E(f4(x423,x421),f4(x423,x422)) 1.60/1.72 [43]~E(x431,x432)+E(f7(x431,x433),f7(x432,x433)) 1.60/1.72 [44]~E(x441,x442)+E(f7(x443,x441),f7(x443,x442)) 1.60/1.72 [45]~E(x451,x452)+E(f19(x451,x453),f19(x452,x453)) 1.60/1.72 [46]~E(x461,x462)+E(f19(x463,x461),f19(x463,x462)) 1.60/1.72 [47]~E(x471,x472)+E(f14(x471,x473,x474),f14(x472,x473,x474)) 1.60/1.72 [48]~E(x481,x482)+E(f14(x483,x481,x484),f14(x483,x482,x484)) 1.60/1.72 [49]~E(x491,x492)+E(f14(x493,x494,x491),f14(x493,x494,x492)) 1.60/1.72 [50]~E(x501,x502)+E(f22(x501,x503),f22(x502,x503)) 1.60/1.72 [51]~E(x511,x512)+E(f22(x513,x511),f22(x513,x512)) 1.60/1.72 [52]~E(x521,x522)+E(f15(x521,x523),f15(x522,x523)) 1.60/1.72 [53]~E(x531,x532)+E(f15(x533,x531),f15(x533,x532)) 1.60/1.72 [54]~E(x541,x542)+E(f6(x541,x543),f6(x542,x543)) 1.60/1.72 [55]~E(x551,x552)+E(f6(x553,x551),f6(x553,x552)) 1.60/1.72 [56]~E(x561,x562)+E(f5(x561,x563),f5(x562,x563)) 1.60/1.72 [57]~E(x571,x572)+E(f5(x573,x571),f5(x573,x572)) 1.60/1.72 [58]~E(x581,x582)+E(f21(x581,x583),f21(x582,x583)) 1.60/1.72 [59]~E(x591,x592)+E(f21(x593,x591),f21(x593,x592)) 1.60/1.72 [60]~P1(x601)+P1(x602)+~E(x601,x602) 1.60/1.72 [61]P2(x612,x613)+~E(x611,x612)+~P2(x611,x613) 1.60/1.72 [62]P2(x623,x622)+~E(x621,x622)+~P2(x623,x621) 1.60/1.72 [63]P11(x632,x633)+~E(x631,x632)+~P11(x631,x633) 1.60/1.72 [64]P11(x643,x642)+~E(x641,x642)+~P11(x643,x641) 1.60/1.72 [65]~P3(x651)+P3(x652)+~E(x651,x652) 1.60/1.72 [66]P6(x662,x663)+~E(x661,x662)+~P6(x661,x663) 1.60/1.72 [67]P6(x673,x672)+~E(x671,x672)+~P6(x673,x671) 1.60/1.72 [68]P9(x682,x683)+~E(x681,x682)+~P9(x681,x683) 1.60/1.72 [69]P9(x693,x692)+~E(x691,x692)+~P9(x693,x691) 1.60/1.72 [70]P4(x702,x703,x704,x705)+~E(x701,x702)+~P4(x701,x703,x704,x705) 1.60/1.72 [71]P4(x713,x712,x714,x715)+~E(x711,x712)+~P4(x713,x711,x714,x715) 1.60/1.72 [72]P4(x723,x724,x722,x725)+~E(x721,x722)+~P4(x723,x724,x721,x725) 1.60/1.72 [73]P4(x733,x734,x735,x732)+~E(x731,x732)+~P4(x733,x734,x735,x731) 1.60/1.72 [74]P12(x742,x743)+~E(x741,x742)+~P12(x741,x743) 1.60/1.72 [75]P12(x753,x752)+~E(x751,x752)+~P12(x753,x751) 1.60/1.72 [76]P7(x762,x763)+~E(x761,x762)+~P7(x761,x763) 1.60/1.72 [77]P7(x773,x772)+~E(x771,x772)+~P7(x773,x771) 1.60/1.72 [78]P13(x782,x783,x784)+~E(x781,x782)+~P13(x781,x783,x784) 1.60/1.72 [79]P13(x793,x792,x794)+~E(x791,x792)+~P13(x793,x791,x794) 1.60/1.72 [80]P13(x803,x804,x802)+~E(x801,x802)+~P13(x803,x804,x801) 1.60/1.72 [81]P8(x812,x813)+~E(x811,x812)+~P8(x811,x813) 1.60/1.72 [82]P8(x823,x822)+~E(x821,x822)+~P8(x823,x821) 1.60/1.72 [83]P10(x832,x833,x834)+~E(x831,x832)+~P10(x831,x833,x834) 1.60/1.72 [84]P10(x843,x842,x844)+~E(x841,x842)+~P10(x843,x841,x844) 1.60/1.72 [85]P10(x853,x854,x852)+~E(x851,x852)+~P10(x853,x854,x851) 1.60/1.72 [86]P5(x862,x863,x864,x865)+~E(x861,x862)+~P5(x861,x863,x864,x865) 1.60/1.72 [87]P5(x873,x872,x874,x875)+~E(x871,x872)+~P5(x873,x871,x874,x875) 1.60/1.72 [88]P5(x883,x884,x882,x885)+~E(x881,x882)+~P5(x883,x884,x881,x885) 1.60/1.72 [89]P5(x893,x894,x895,x892)+~E(x891,x892)+~P5(x893,x894,x895,x891) 1.60/1.72 1.60/1.72 %------------------------------------------- 1.60/1.72 cnf(176,plain, 1.60/1.72 (~P6(f11(x1761),x1761)), 1.60/1.72 inference(scs_inference,[],[91,103])). 1.60/1.72 cnf(178,plain, 1.60/1.72 (P10(f11(x1781),f5(x1781,f11(x1781)),f6(x1781,f11(x1781)))), 1.60/1.72 inference(scs_inference,[],[91,103,137])). 1.60/1.72 cnf(180,plain, 1.60/1.72 (P7(f11(x1801),f5(x1801,f11(x1801)))), 1.60/1.72 inference(scs_inference,[],[91,103,137,130])). 1.60/1.72 cnf(182,plain, 1.60/1.72 (P7(f11(x1821),f6(x1821,f11(x1821)))), 1.60/1.72 inference(scs_inference,[],[91,103,137,130,129])). 1.60/1.72 cnf(184,plain, 1.60/1.72 (P9(f12(x1841),x1841)), 1.60/1.72 inference(scs_inference,[],[91,92,103,137,130,129,101])). 1.60/1.72 cnf(186,plain, 1.60/1.72 (P7(f11(x1861),x1861)), 1.60/1.72 inference(scs_inference,[],[91,92,103,137,130,129,101,98])). 1.60/1.72 cnf(188,plain, 1.60/1.72 (P6(f18(f1(x1881)),f1(x1881))), 1.60/1.72 inference(scs_inference,[],[90,91,92,103,137,130,129,101,98,95])). 1.60/1.72 cnf(190,plain, 1.60/1.72 (~P6(f11(x1901),x1902)+~E(x1902,x1901)), 1.60/1.72 inference(scs_inference,[],[90,91,92,103,137,130,129,101,98,95,67])). 1.60/1.72 cnf(191,plain, 1.60/1.72 (~E(f18(f1(x1911)),f11(f1(x1911)))), 1.60/1.72 inference(scs_inference,[],[90,91,92,103,137,130,129,101,98,95,67,66])). 1.60/1.72 cnf(196,plain, 1.60/1.72 (~P10(x1961,f1(x1962),f1(x1962))), 1.60/1.72 inference(scs_inference,[],[90,91,92,103,137,130,129,101,98,95,67,66,121,120,143])). 1.60/1.72 cnf(198,plain, 1.60/1.72 (P9(f11(f1(x1981)),x1981)), 1.60/1.72 inference(scs_inference,[],[90,91,92,103,137,130,129,101,98,95,67,66,121,120,143,107])). 1.60/1.72 cnf(200,plain, 1.60/1.72 (~P3(f1(x2001))), 1.60/1.72 inference(scs_inference,[],[90,91,92,103,137,130,129,101,98,95,67,66,121,120,143,107,97])). 1.60/1.72 cnf(209,plain, 1.60/1.72 (E(f7(f11(f1(x2091)),f1(x2091)),f1(x2091))+P1(f7(f11(f1(x2091)),f1(x2091)))), 1.60/1.72 inference(scs_inference,[],[90,91,92,103,137,130,129,101,98,95,67,66,121,120,143,107,97,65,145,122,114,96])). 1.60/1.72 cnf(211,plain, 1.60/1.72 (P7(f24(f11(f1(x2111)),f1(x2111),f1(x2111)),f1(x2111))), 1.60/1.72 inference(scs_inference,[],[90,91,92,103,137,130,129,101,98,95,67,66,121,120,143,107,97,65,145,122,114,96,151])). 1.60/1.72 cnf(216,plain, 1.60/1.72 (~E(f11(f1(x2161)),f18(f1(x2161)))), 1.60/1.72 inference(scs_inference,[],[191,2])). 1.60/1.72 cnf(217,plain, 1.60/1.72 (~P13(a20,f18(f1(x2171)),f11(f1(x2171)))), 1.60/1.72 inference(scs_inference,[],[191,2,127])). 1.60/1.72 cnf(221,plain, 1.60/1.72 (P7(f18(f1(x2211)),f1(x2211))), 1.60/1.72 inference(scs_inference,[],[184,188,191,2,127,102,99])). 1.60/1.72 cnf(223,plain, 1.60/1.72 (P6(f17(f1(x2231)),f1(x2231))), 1.60/1.72 inference(scs_inference,[],[184,188,200,191,2,127,102,99,93])). 1.60/1.72 cnf(225,plain, 1.60/1.72 (P7(f24(f12(x2251),f1(x2251),f1(x2251)),f1(x2251))), 1.60/1.72 inference(scs_inference,[],[184,188,196,200,191,2,127,102,99,93,150])). 1.60/1.72 cnf(226,plain, 1.60/1.72 (~P10(x2261,f1(x2262),f1(x2262))), 1.60/1.72 inference(rename_variables,[],[196])). 1.60/1.72 cnf(230,plain, 1.60/1.72 (P7(f11(x2301),x2301)), 1.60/1.72 inference(rename_variables,[],[186])). 1.60/1.72 cnf(231,plain, 1.60/1.72 (~P10(x2311,f1(x2312),f1(x2312))), 1.60/1.72 inference(rename_variables,[],[196])). 1.60/1.72 cnf(233,plain, 1.60/1.72 (P12(f7(f11(x2331),x2331),x2331)), 1.60/1.72 inference(scs_inference,[],[176,184,186,230,188,196,226,200,191,2,127,102,99,93,150,162,121])). 1.60/1.73 cnf(234,plain, 1.60/1.73 (P7(f11(x2341),x2341)), 1.60/1.73 inference(rename_variables,[],[186])). 1.60/1.73 cnf(236,plain, 1.60/1.73 (P7(f24(f18(f1(x2361)),f1(x2361),f1(x2361)),f1(x2361))), 1.60/1.73 inference(scs_inference,[],[176,184,186,230,188,196,226,231,200,191,2,127,102,99,93,150,162,121,151])). 1.60/1.73 cnf(237,plain, 1.60/1.73 (~P10(x2371,f1(x2372),f1(x2372))), 1.60/1.73 inference(rename_variables,[],[196])). 1.60/1.73 cnf(239,plain, 1.60/1.73 (P6(f11(x2391),f5(x2391,f11(x2391)))), 1.60/1.73 inference(scs_inference,[],[176,184,186,230,188,196,226,231,200,178,180,182,191,2,127,102,99,93,150,162,121,151,143])). 1.60/1.73 cnf(244,plain, 1.60/1.73 (P7(f11(x2441),x2441)), 1.60/1.73 inference(rename_variables,[],[186])). 1.60/1.73 cnf(249,plain, 1.60/1.73 (~E(f5(x2491,f11(x2491)),x2491)), 1.60/1.73 inference(scs_inference,[],[176,184,186,230,234,188,196,226,231,200,178,180,182,191,2,127,102,99,93,150,162,121,151,143,120,103,190])). 1.60/1.73 cnf(251,plain, 1.60/1.73 (~P12(f7(f11(x2511),x2511),f4(f11(x2511),x2511))), 1.60/1.73 inference(scs_inference,[],[176,184,186,230,234,244,188,196,226,231,237,200,178,180,182,191,2,127,102,99,93,150,162,121,151,143,120,103,190,85,140])). 1.60/1.73 cnf(252,plain, 1.60/1.73 (~P6(f11(x2521),x2521)), 1.60/1.73 inference(rename_variables,[],[176])). 1.60/1.73 cnf(255,plain, 1.60/1.73 (~P6(f11(x2551),x2551)), 1.60/1.73 inference(rename_variables,[],[176])). 1.60/1.73 cnf(258,plain, 1.60/1.73 (~P6(f11(x2581),x2581)), 1.60/1.73 inference(rename_variables,[],[176])). 1.60/1.73 cnf(260,plain, 1.60/1.73 (P7(f11(x2601),f4(f11(x2601),x2601))), 1.60/1.73 inference(scs_inference,[],[176,252,255,258,184,186,230,234,244,188,196,226,231,237,200,178,180,182,191,2,127,102,99,93,150,162,121,151,143,120,103,190,85,140,139,119,118])). 1.60/1.73 cnf(261,plain, 1.60/1.73 (~P6(f11(x2611),x2611)), 1.60/1.73 inference(rename_variables,[],[176])). 1.60/1.73 cnf(266,plain, 1.60/1.73 (~P11(f18(f1(a20)),a20)), 1.60/1.73 inference(scs_inference,[],[211,176,252,255,258,184,186,230,234,244,188,196,226,231,237,200,178,180,182,191,198,2,127,102,99,93,150,162,121,151,143,120,103,190,85,140,139,119,118,108,133])). 1.60/1.73 cnf(269,plain, 1.60/1.73 (~P10(x2691,x2692,x2692)), 1.60/1.73 inference(scs_inference,[],[211,176,252,255,258,261,184,186,230,234,244,188,196,226,231,237,200,178,180,182,191,198,2,127,102,99,93,150,162,121,151,143,120,103,190,85,140,139,119,118,108,133,142])). 1.60/1.73 cnf(281,plain, 1.60/1.73 (P13(a20,f11(f1(a20)),f18(f1(a20)))+~P10(x2811,f1(x2812),f7(f11(f1(x2812)),f1(x2812)))+~P5(a20,x2813,f11(f1(a20)),f18(f1(a20)))), 1.60/1.73 inference(scs_inference,[],[211,176,252,255,258,261,184,186,230,234,244,188,196,226,231,237,200,178,180,182,191,198,2,127,102,99,93,150,162,121,151,143,120,103,190,85,140,139,119,118,108,133,142,66,209,106,165,164])). 1.60/1.73 cnf(294,plain, 1.60/1.73 (~E(f5(x2941,f11(x2941)),f6(x2941,f11(x2941)))), 1.60/1.73 inference(scs_inference,[],[269,178,84])). 1.60/1.73 cnf(295,plain, 1.60/1.73 (~P10(x2951,x2952,x2952)), 1.60/1.73 inference(rename_variables,[],[269])). 1.60/1.73 cnf(296,plain, 1.60/1.73 (~E(x2961,f4(f11(x2961),x2961))), 1.60/1.73 inference(scs_inference,[],[269,251,233,178,84,75])). 1.60/1.73 cnf(298,plain, 1.60/1.73 (~E(f12(a20),f18(f1(a20)))), 1.60/1.73 inference(scs_inference,[],[92,269,251,233,266,178,84,75,63])). 1.60/1.73 cnf(304,plain, 1.60/1.73 (~P10(x3041,x3042,x3042)), 1.60/1.73 inference(rename_variables,[],[269])). 1.60/1.73 cnf(305,plain, 1.60/1.73 (P7(f24(f24(f12(x3051),f1(x3051),f1(x3051)),f1(x3051),f1(x3051)),f1(x3051))), 1.60/1.73 inference(scs_inference,[],[92,269,295,304,225,251,233,239,217,266,178,84,75,63,94,80,85,150])). 1.60/1.73 cnf(327,plain, 1.60/1.73 (P9(f24(f24(f12(x3271),f1(x3271),f1(x3271)),f1(x3271),f1(x3271)),x3271)), 1.60/1.73 inference(scs_inference,[],[305,217,78,107])). 1.60/1.73 cnf(340,plain, 1.60/1.73 (P7(f17(f1(x3401)),f1(x3401))), 1.60/1.73 inference(scs_inference,[],[223,99])). 1.60/1.73 cnf(346,plain, 1.60/1.73 (~E(x3461,f5(x3461,f11(x3461)))), 1.60/1.73 inference(scs_inference,[],[294,249,223,239,99,127,106,2])). 1.60/1.73 cnf(354,plain, 1.60/1.73 (P7(f24(f17(f1(x3541)),f1(x3541),f1(x3541)),f1(x3541))), 1.60/1.73 inference(scs_inference,[],[340,269,150])). 1.60/1.73 cnf(400,plain, 1.60/1.73 (P7(f11(x4001),f6(x4001,f11(x4001)))), 1.60/1.73 inference(rename_variables,[],[182])). 1.60/1.73 cnf(404,plain, 1.60/1.73 (P6(f11(x4041),f6(x4041,f11(x4041)))), 1.60/1.73 inference(scs_inference,[],[178,182,400,180,236,186,176,143,107,142])). 1.60/1.73 cnf(413,plain, 1.60/1.73 (P7(f24(f11(x4131),x4131,x4131),x4131)), 1.60/1.73 inference(scs_inference,[],[178,182,400,180,236,327,269,186,176,143,107,142,171,94,190,150])). 1.60/1.73 cnf(460,plain, 1.60/1.73 (~P13(a20,x4601,f4(f11(x4601),x4601))), 1.60/1.73 inference(scs_inference,[],[413,296,111,127])). 1.60/1.73 cnf(462,plain, 1.60/1.73 (~E(f23(f6(x4621,f11(x4621)),f11(x4621)),f11(x4621))), 1.60/1.73 inference(scs_inference,[],[413,296,404,111,127,106])). 1.60/1.73 cnf(473,plain, 1.60/1.73 (~P5(a20,f4(f11(x4731),x4731),x4731,f4(f11(x4731),x4731))), 1.60/1.73 inference(scs_inference,[],[460,166])). 1.60/1.73 cnf(477,plain, 1.60/1.73 (~E(f11(x4771),f23(f6(x4771,f11(x4771)),f11(x4771)))), 1.60/1.73 inference(scs_inference,[],[462,460,166,163,2])). 1.60/1.73 cnf(486,plain, 1.60/1.73 (~P2(f11(x4861),f6(x4861,f11(x4861)))), 1.60/1.73 inference(scs_inference,[],[473,404,88,103])). 1.60/1.73 cnf(500,plain, 1.60/1.73 (P9(f18(f1(x5001)),x5001)), 1.60/1.73 inference(scs_inference,[],[186,221,413,269,162,108,107])). 1.60/1.73 cnf(517,plain, 1.60/1.73 (~P13(a20,f11(x5171),f23(f6(x5171,f11(x5171)),f11(x5171)))), 1.60/1.73 inference(scs_inference,[],[184,477,486,473,296,460,404,91,97,62,86,134,127])). 1.60/1.73 cnf(542,plain, 1.60/1.73 (~P6(f24(f24(f12(x5421),f1(x5421),f1(x5421)),f1(x5421),f1(x5421)),f1(x5421))), 1.60/1.73 inference(scs_inference,[],[225,269,162])). 1.60/1.73 cnf(589,plain, 1.60/1.73 (~P5(a20,f11(x5891),f23(f6(x5891,f11(x5891)),f11(x5891)),f11(x5891))), 1.60/1.73 inference(scs_inference,[],[517,163])). 1.60/1.73 cnf(619,plain, 1.60/1.73 (P13(x6191,f11(f1(x6191)),f18(f1(x6191)))+~P11(f11(f1(x6191)),x6191)), 1.60/1.73 inference(scs_inference,[],[198,191,542,589,260,500,340,176,186,107,142,104,89,96,67,133])). 1.60/1.73 cnf(622,plain, 1.60/1.73 (~P13(a20,x6221,f5(x6221,f11(x6221)))), 1.60/1.73 inference(scs_inference,[],[198,191,542,589,346,260,500,340,176,186,107,142,104,89,96,67,133,127])). 1.60/1.73 cnf(657,plain, 1.60/1.73 (~E(f18(f1(a20)),f12(a20))), 1.60/1.73 inference(scs_inference,[],[298,2])). 1.60/1.73 cnf(687,plain, 1.60/1.73 (P13(a20,f12(a20),f18(f1(a20)))), 1.60/1.73 inference(scs_inference,[],[657,500,92,133])). 1.60/1.73 cnf(693,plain, 1.60/1.73 (~P13(a20,f11(f1(x6931)),f18(f1(x6931)))), 1.60/1.73 inference(scs_inference,[],[216,657,354,500,92,133,107,127])). 1.60/1.73 cnf(703,plain, 1.60/1.73 (~P11(f11(f1(a20)),a20)), 1.60/1.73 inference(scs_inference,[],[198,216,657,354,500,622,460,92,133,107,127,281,166,134,619])). 1.60/1.73 cnf(724,plain, 1.60/1.73 ($false), 1.60/1.73 inference(scs_inference,[],[217,693,687,703,298,92,63,165,127]), 1.60/1.73 ['proof']). 1.60/1.73 % SZS output end Proof 1.60/1.73 % Total time :1.150000s 1.60/1.75 EOF