%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO124+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 06:03:56 EDT 2024
% Result : Theorem 26.55s 26.63s
% Output : CNFRefutation 26.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO124+1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 21 09:40:24 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.55/0.57 start to proof:theBenchmark
% 26.55/26.63 %-------------------------------------------
% 26.55/26.63 % File :CSE---1.7
% 26.55/26.63 % Problem :theBenchmark
% 26.55/26.63 % Transform :cnf
% 26.55/26.63 % Format :tptp:raw
% 26.55/26.63 % Command :java -jar mcs_scs.jar %d %s
% 26.55/26.63
% 26.55/26.63 % Result :Theorem 26.000000s
% 26.55/26.63 % Output :CNFRefutation 26.000000s
% 26.55/26.63 %-------------------------------------------
% 26.55/26.63 %--------------------------------------------------------------------------
% 26.55/26.63 % File : GEO124+1 : TPTP v8.2.0. Released v2.4.0.
% 26.55/26.63 % Domain : Geometry (Oriented curves)
% 26.55/26.63 % Problem : Every oriented curve has at most one starting point
% 26.55/26.63 % Version : [EHK99] axioms.
% 26.55/26.63 % English :
% 26.55/26.63
% 26.55/26.63 % Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv
% 26.55/26.63 % : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto
% 26.55/26.63 % Source : [KE99]
% 26.55/26.63 % Names : Corollary 4.10 (1) [KE99]
% 26.55/26.63
% 26.55/26.63 % Status : Theorem
% 26.55/26.63 % Rating : 0.33 v8.2.0, 0.25 v8.1.0, 0.33 v7.5.0, 0.34 v7.4.0, 0.30 v7.3.0, 0.31 v7.2.0, 0.28 v7.1.0, 0.30 v7.0.0, 0.20 v6.4.0, 0.23 v6.3.0, 0.38 v6.2.0, 0.40 v6.1.0, 0.43 v6.0.0, 0.48 v5.5.0, 0.41 v5.4.0, 0.39 v5.3.0, 0.48 v5.2.0, 0.35 v5.1.0, 0.33 v5.0.0, 0.38 v4.1.0, 0.35 v4.0.0, 0.33 v3.7.0, 0.30 v3.5.0, 0.21 v3.4.0, 0.26 v3.3.0, 0.14 v3.2.0, 0.27 v3.1.0, 0.22 v2.7.0, 0.33 v2.5.0, 0.17 v2.4.0
% 26.55/26.63 % Syntax : Number of formulae : 28 ( 2 unt; 0 def)
% 26.55/26.63 % Number of atoms : 115 ( 17 equ)
% 26.55/26.63 % Maximal formula atoms : 12 ( 4 avg)
% 26.55/26.63 % Number of connectives : 95 ( 8 ~; 10 |; 39 &)
% 26.55/26.63 % ( 20 <=>; 18 =>; 0 <=; 0 <~>)
% 26.55/26.63 % Maximal formula depth : 12 ( 7 avg)
% 26.55/26.63 % Maximal term depth : 2 ( 1 avg)
% 26.55/26.63 % Number of predicates : 14 ( 13 usr; 0 prp; 1-4 aty)
% 26.55/26.63 % Number of functors : 2 ( 2 usr; 0 con; 1-2 aty)
% 26.55/26.63 % Number of variables : 97 ( 83 !; 14 ?)
% 26.55/26.63 % SPC : FOF_THM_RFO_SEQ
% 26.55/26.63
% 26.55/26.63 % Comments :
% 26.55/26.63 %--------------------------------------------------------------------------
% 26.55/26.63 %----Include simple curve axioms
% 26.55/26.63 include('Axioms/GEO004+0.ax').
% 26.55/26.63 %----Include axioms of betweenness for simple curves
% 26.55/26.63 include('Axioms/GEO004+1.ax').
% 26.55/26.63 %----Include oriented curve axioms
% 26.55/26.63 include('Axioms/GEO004+2.ax').
% 26.55/26.63 %--------------------------------------------------------------------------
% 26.55/26.63 fof(corollary_4_10_1,conjecture,
% 26.55/26.63 ! [O,P,Q] :
% 26.55/26.63 ( ( start_point(P,O)
% 26.55/26.63 & start_point(Q,O) )
% 26.55/26.63 => P = Q ) ).
% 26.55/26.63
% 26.55/26.63 %--------------------------------------------------------------------------
% 26.55/26.63 %-------------------------------------------
% 26.55/26.63 % Proof found
% 26.55/26.63 % SZS status Theorem for theBenchmark
% 26.55/26.63 % SZS output start Proof
% 26.55/26.64 %ClaNum:177(EqnAxiom:89)
% 26.55/26.64 %VarNum:701(SingletonVarNum:245)
% 26.55/26.64 %MaxLitNum:12
% 26.55/26.64 %MaxfuncDepth:2
% 26.55/26.64 %SharedTerms:6
% 26.55/26.64 %goalClause: 91 92 95
% 26.55/26.64 %singleGoalClaCount:3
% 26.55/26.64 [91]P11(a9,a10)
% 26.55/26.64 [92]P11(a19,a10)
% 26.55/26.64 [95]~E(a19,a9)
% 26.55/26.64 [90]P1(f1(x901))
% 26.55/26.64 [93]P2(f20(x931),x931)
% 26.55/26.64 [94]P11(f11(x941),x941)
% 26.55/26.64 [96]P3(x961)+P6(f21(x961),x961)
% 26.55/26.64 [98]~P1(x981)+P6(f26(x981),x981)
% 26.55/26.64 [97]P1(x971)+~P6(x972,x971)
% 26.55/26.64 [100]~P3(x1001)+~P6(x1002,x1001)
% 26.55/26.64 [101]~P6(x1011,x1012)+P7(x1011,x1012)
% 26.55/26.64 [102]~P2(x1021,x1022)+P7(x1021,x1022)
% 26.55/26.64 [103]~P11(x1031,x1032)+P9(x1031,x1032)
% 26.55/26.64 [104]~P8(x1041,x1042)+P9(x1041,x1042)
% 26.55/26.64 [106]~P2(x1061,x1062)+~P6(x1061,x1062)
% 26.55/26.64 [105]~P9(x1051,x1052)+P7(x1051,f1(x1052))
% 26.55/26.64 [109]~P6(x1092,x1091)+~E(f2(x1091,x1092),x1092)
% 26.55/26.64 [110]P9(x1101,x1102)+~P7(x1101,f1(x1102))
% 26.55/26.64 [112]P12(x1121,x1122)+P7(f12(x1122,x1121),x1121)
% 26.55/26.64 [118]~P6(x1182,x1181)+P6(f2(x1181,x1182),x1181)
% 26.55/26.64 [127]P12(x1271,x1272)+~P7(f12(x1272,x1271),x1272)
% 26.55/26.64 [139]~P2(x1391,x1392)+P10(x1391,f29(x1392,x1391),f3(x1392,x1391))
% 26.55/26.64 [130]~P2(x1302,x1301)+E(f28(f29(x1301,x1302),f3(x1301,x1302)),x1301)
% 26.55/26.64 [131]P7(x1311,x1312)+~P10(x1311,x1313,x1312)
% 26.55/26.64 [132]P7(x1321,x1322)+~P10(x1321,x1322,x1323)
% 26.55/26.64 [133]P9(x1331,x1332)+~P13(x1332,x1333,x1331)
% 26.55/26.64 [134]P9(x1341,x1342)+~P13(x1342,x1341,x1343)
% 26.55/26.64 [137]~P10(x1373,x1371,x1372)+E(f6(x1371,x1372),f28(x1371,x1372))
% 26.55/26.64 [159]~E(x1591,x1592)+~P4(x1593,x1591,x1594,x1592)
% 26.55/26.64 [169]~P4(x1692,x1693,x1694,x1691)+P6(x1691,f7(x1692,x1693,x1694,x1691))
% 26.55/26.64 [170]~P4(x1702,x1701,x1703,x1704)+P6(x1701,f7(x1702,x1701,x1703,x1704))
% 26.55/26.64 [171]~P4(x1712,x1713,x1711,x1714)+P2(x1711,f7(x1712,x1713,x1711,x1714))
% 26.55/26.64 [172]~P4(x1721,x1722,x1723,x1724)+P12(f7(x1721,x1722,x1723,x1724),x1721)
% 26.55/26.64 [174]~P5(x1744,x1741,x1742,x1743)+P4(f13(x1741,x1742,x1743,x1744),x1741,x1742,x1743)
% 26.55/26.64 [99]P1(x991)+~P12(x991,x992)+E(x991,x992)
% 26.55/26.64 [111]P2(x1111,x1112)+~P7(x1111,x1112)+P6(x1111,x1112)
% 26.55/26.64 [116]~P9(x1161,x1162)+P11(x1161,x1162)+~E(f4(x1161,x1162),x1161)
% 26.55/26.64 [117]~P9(x1171,x1172)+P8(x1171,x1172)+~E(f8(x1171,x1172),x1171)
% 26.55/26.64 [121]~P7(x1211,x1212)+P6(x1211,x1212)+P7(x1211,f22(x1211,x1212))
% 26.55/26.64 [122]~P7(x1221,x1222)+P6(x1221,x1222)+P7(x1221,f24(x1221,x1222))
% 26.55/26.64 [123]~P7(x1231,x1232)+P6(x1231,x1232)+P12(f22(x1231,x1232),x1232)
% 26.55/26.64 [124]~P7(x1241,x1242)+P6(x1241,x1242)+P12(f24(x1241,x1242),x1242)
% 26.55/26.64 [125]~P9(x1251,x1252)+P11(x1251,x1252)+P9(f4(x1251,x1252),x1252)
% 26.55/26.64 [126]~P9(x1261,x1262)+P8(x1261,x1262)+P9(f8(x1261,x1262),x1262)
% 26.55/26.64 [128]E(x1281,x1282)+P7(f5(x1281,x1282),x1282)+P7(f5(x1281,x1282),x1281)
% 26.55/26.64 [129]P7(f15(x1291,x1292),x1291)+P9(f15(x1291,x1292),x1292)+E(x1291,f27(x1292))
% 26.55/26.64 [138]E(x1381,x1382)+~P7(f5(x1381,x1382),x1382)+~P7(f5(x1381,x1382),x1381)
% 26.55/26.64 [140]~P7(f15(x1401,x1402),x1401)+~P9(f15(x1401,x1402),x1402)+E(x1401,f27(x1402))
% 26.55/26.64 [141]~P7(x1411,x1412)+P6(x1411,x1412)+~P12(f22(x1411,x1412),f24(x1411,x1412))
% 26.55/26.64 [142]~P7(x1421,x1422)+P6(x1421,x1422)+~P12(f24(x1421,x1422),f22(x1421,x1422))
% 26.55/26.64 [146]~P9(x1461,x1462)+P11(x1461,x1462)+~P13(x1462,x1461,f4(x1461,x1462))
% 26.55/26.64 [147]~P9(x1471,x1472)+P8(x1471,x1472)+~P13(x1472,f8(x1471,x1472),x1471)
% 26.55/26.64 [150]E(x1501,x1502)+P13(x1502,f17(x1501,x1502),f18(x1501,x1502))+P13(x1501,f17(x1501,x1502),f18(x1501,x1502))
% 26.55/26.64 [156]E(x1561,x1562)+~P13(x1562,f17(x1561,x1562),f18(x1561,x1562))+~P13(x1561,f17(x1561,x1562),f18(x1561,x1562))
% 26.55/26.64 [113]~P7(x1131,x1133)+P7(x1131,x1132)+~P12(x1133,x1132)
% 26.55/26.64 [107]~P9(x1071,x1073)+P7(x1071,x1072)+~E(x1072,f27(x1073))
% 26.55/26.64 [108]~P7(x1081,x1083)+P9(x1081,x1082)+~E(x1083,f27(x1082))
% 26.55/26.64 [160]~P7(f23(x1601,x1602,x1603),x1603)+~P7(f23(x1601,x1602,x1603),x1601)+E(x1601,f28(x1602,x1603))
% 26.55/26.64 [161]~P7(f23(x1611,x1612,x1613),x1612)+~P7(f23(x1611,x1612,x1613),x1611)+E(x1611,f28(x1612,x1613))
% 26.55/26.64 [162]~P13(x1621,x1623,x1622)+~P13(x1621,x1624,x1623)+P5(x1621,x1622,x1623,x1624)
% 26.55/26.64 [163]~P13(x1631,x1633,x1634)+~P13(x1631,x1632,x1633)+P5(x1631,x1632,x1633,x1634)
% 26.55/26.64 [165]~P5(x1651,x1652,x1653,x1654)+P13(x1651,x1652,x1653)+P13(x1651,x1654,x1653)
% 26.55/26.64 [166]P13(x1661,x1663,x1662)+P13(x1661,x1662,x1663)+~P5(x1661,x1664,x1662,x1663)
% 26.55/26.64 [167]P13(x1671,x1673,x1672)+P13(x1671,x1672,x1673)+~P5(x1671,x1672,x1673,x1674)
% 26.55/26.64 [168]~P5(x1681,x1684,x1682,x1683)+P13(x1681,x1682,x1683)+P13(x1681,x1682,x1684)
% 26.55/26.64 [114]~P7(x1141,x1144)+P7(x1141,x1142)+~E(x1142,f28(x1143,x1144))
% 26.55/26.64 [115]~P7(x1151,x1153)+P7(x1151,x1152)+~E(x1152,f28(x1153,x1154))
% 26.55/26.64 [173]~P9(x1731,x1735)+~P5(x1735,x1732,x1733,x1734)+P7(x1731,f13(x1732,x1733,x1734,x1735))
% 26.55/26.64 [175]P9(x1751,x1752)+~P5(x1752,x1753,x1754,x1755)+~P7(x1751,f13(x1753,x1754,x1755,x1752))
% 26.55/26.64 [135]~P9(x1352,x1353)+~P8(x1351,x1353)+E(x1351,x1352)+P13(x1353,x1352,x1351)
% 26.55/26.64 [136]~P11(x1361,x1363)+~P9(x1362,x1363)+E(x1361,x1362)+P13(x1363,x1361,x1362)
% 26.55/26.64 [152]~P7(x1521,x1523)+~P7(x1521,x1522)+P10(x1521,x1522,x1523)+P7(f25(x1521,x1522,x1523),x1523)
% 26.55/26.64 [153]~P7(x1531,x1533)+~P7(x1531,x1532)+P10(x1531,x1532,x1533)+P7(f25(x1531,x1532,x1533),x1532)
% 26.55/26.64 [158]P7(f23(x1581,x1582,x1583),x1583)+P7(f23(x1581,x1582,x1583),x1582)+P7(f23(x1581,x1582,x1583),x1581)+E(x1581,f28(x1582,x1583))
% 26.55/26.64 [144]~P7(x1441,x1442)+P6(x1441,x1442)+~P10(x1444,x1443,x1442)+~P7(x1441,x1443)
% 26.55/26.64 [145]~P7(x1451,x1452)+P6(x1451,x1452)+~P10(x1454,x1452,x1453)+~P7(x1451,x1453)
% 26.55/26.64 [120]~P7(x1201,x1204)+P7(x1201,x1202)+P7(x1201,x1203)+~E(x1204,f28(x1203,x1202))
% 26.55/26.64 [176]~P4(x1765,x1762,x1763,x1764)+P5(x1761,x1762,x1763,x1764)+P7(f14(x1762,x1763,x1764,x1761,x1765),x1765)+P9(f14(x1762,x1763,x1764,x1761,x1765),x1761)
% 26.55/26.64 [177]P5(x1771,x1772,x1773,x1774)+~P4(x1775,x1772,x1773,x1774)+~P7(f14(x1772,x1773,x1774,x1771,x1775),x1775)+~P9(f14(x1772,x1773,x1774,x1771,x1775),x1771)
% 26.55/26.64 [151]~P1(x1513)+~P7(x1512,x1513)+~P7(x1511,x1513)+E(x1511,x1512)+P13(f16(x1511,x1512,x1513),x1511,x1512)
% 26.55/26.64 [164]~P7(x1641,x1643)+~P7(x1641,x1642)+P10(x1641,x1642,x1643)+~P6(f25(x1641,x1642,x1643),x1643)+~P6(f25(x1641,x1642,x1643),x1642)
% 26.55/26.64 [148]~P3(x1484)+~P6(x1481,x1482)+P10(x1481,x1482,x1483)+~P10(x1485,x1482,x1483)+~E(x1484,f28(x1482,x1483))
% 26.55/26.64 [119]E(x1193,x1191)+~P6(x1191,x1194)+~P6(x1193,x1194)+E(x1191,x1192)+E(x1193,x1192)+~P6(x1192,x1194)
% 26.55/26.64 [149]~P1(x1494)+~P7(x1492,x1494)+~P7(x1491,x1494)+~P7(x1493,x1494)+E(x1491,x1492)+P9(x1493,f16(x1491,x1492,x1494))
% 26.55/26.64 [155]~P1(x1554)+~P7(x1552,x1554)+~P7(x1551,x1554)+E(x1551,x1552)+P7(x1553,x1554)+~P9(x1553,f16(x1551,x1552,x1554))
% 26.55/26.64 [157]~P6(x1572,x1575)+~P6(x1571,x1575)+~P2(x1574,x1575)+E(x1571,x1572)+P4(x1573,x1571,x1574,x1572)+~P12(x1575,x1573)
% 26.55/26.64 [143]P12(x1432,x1431)+~P12(x1432,x1433)+~P7(x1434,x1432)+~P6(x1434,x1433)+P12(x1431,x1432)+~P12(x1431,x1433)+~P7(x1434,x1431)
% 26.55/26.64 [154]P12(x1542,x1541)+P12(x1542,x1543)+P12(x1543,x1541)+P12(x1543,x1542)+~P12(x1542,x1544)+~P12(x1543,x1544)+~P6(x1545,x1542)+~P6(x1545,x1543)+P12(x1541,x1542)+P12(x1541,x1543)+~P12(x1541,x1544)+~P6(x1545,x1541)
% 26.55/26.64 %EqnAxiom
% 26.55/26.64 [1]E(x11,x11)
% 26.55/26.64 [2]E(x22,x21)+~E(x21,x22)
% 26.55/26.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 26.55/26.64 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 26.55/26.64 [5]~E(x51,x52)+E(f20(x51),f20(x52))
% 26.55/26.64 [6]~E(x61,x62)+E(f11(x61),f11(x62))
% 26.55/26.64 [7]~E(x71,x72)+E(f21(x71),f21(x72))
% 26.55/26.64 [8]~E(x81,x82)+E(f26(x81),f26(x82))
% 26.55/26.64 [9]~E(x91,x92)+E(f14(x91,x93,x94,x95,x96),f14(x92,x93,x94,x95,x96))
% 26.55/26.64 [10]~E(x101,x102)+E(f14(x103,x101,x104,x105,x106),f14(x103,x102,x104,x105,x106))
% 26.55/26.64 [11]~E(x111,x112)+E(f14(x113,x114,x111,x115,x116),f14(x113,x114,x112,x115,x116))
% 26.55/26.64 [12]~E(x121,x122)+E(f14(x123,x124,x125,x121,x126),f14(x123,x124,x125,x122,x126))
% 26.55/26.64 [13]~E(x131,x132)+E(f14(x133,x134,x135,x136,x131),f14(x133,x134,x135,x136,x132))
% 26.55/26.64 [14]~E(x141,x142)+E(f27(x141),f27(x142))
% 26.55/26.64 [15]~E(x151,x152)+E(f13(x151,x153,x154,x155),f13(x152,x153,x154,x155))
% 26.55/26.64 [16]~E(x161,x162)+E(f13(x163,x161,x164,x165),f13(x163,x162,x164,x165))
% 26.55/26.64 [17]~E(x171,x172)+E(f13(x173,x174,x171,x175),f13(x173,x174,x172,x175))
% 26.55/26.64 [18]~E(x181,x182)+E(f13(x183,x184,x185,x181),f13(x183,x184,x185,x182))
% 26.55/26.64 [19]~E(x191,x192)+E(f2(x191,x193),f2(x192,x193))
% 26.55/26.64 [20]~E(x201,x202)+E(f2(x203,x201),f2(x203,x202))
% 26.55/26.64 [21]~E(x211,x212)+E(f7(x211,x213,x214,x215),f7(x212,x213,x214,x215))
% 26.55/26.64 [22]~E(x221,x222)+E(f7(x223,x221,x224,x225),f7(x223,x222,x224,x225))
% 26.55/26.64 [23]~E(x231,x232)+E(f7(x233,x234,x231,x235),f7(x233,x234,x232,x235))
% 26.55/26.64 [24]~E(x241,x242)+E(f7(x243,x244,x245,x241),f7(x243,x244,x245,x242))
% 26.55/26.64 [25]~E(x251,x252)+E(f12(x251,x253),f12(x252,x253))
% 26.55/26.64 [26]~E(x261,x262)+E(f12(x263,x261),f12(x263,x262))
% 26.55/26.65 [27]~E(x271,x272)+E(f28(x271,x273),f28(x272,x273))
% 26.55/26.65 [28]~E(x281,x282)+E(f28(x283,x281),f28(x283,x282))
% 26.55/26.65 [29]~E(x291,x292)+E(f23(x291,x293,x294),f23(x292,x293,x294))
% 26.55/26.65 [30]~E(x301,x302)+E(f23(x303,x301,x304),f23(x303,x302,x304))
% 26.55/26.65 [31]~E(x311,x312)+E(f23(x313,x314,x311),f23(x313,x314,x312))
% 26.55/26.65 [32]~E(x321,x322)+E(f4(x321,x323),f4(x322,x323))
% 26.55/26.65 [33]~E(x331,x332)+E(f4(x333,x331),f4(x333,x332))
% 26.55/26.65 [34]~E(x341,x342)+E(f8(x341,x343),f8(x342,x343))
% 26.55/26.65 [35]~E(x351,x352)+E(f8(x353,x351),f8(x353,x352))
% 26.55/26.65 [36]~E(x361,x362)+E(f25(x361,x363,x364),f25(x362,x363,x364))
% 26.55/26.65 [37]~E(x371,x372)+E(f25(x373,x371,x374),f25(x373,x372,x374))
% 26.55/26.65 [38]~E(x381,x382)+E(f25(x383,x384,x381),f25(x383,x384,x382))
% 26.55/26.65 [39]~E(x391,x392)+E(f18(x391,x393),f18(x392,x393))
% 26.55/26.65 [40]~E(x401,x402)+E(f18(x403,x401),f18(x403,x402))
% 26.55/26.65 [41]~E(x411,x412)+E(f22(x411,x413),f22(x412,x413))
% 26.55/26.65 [42]~E(x421,x422)+E(f22(x423,x421),f22(x423,x422))
% 26.55/26.65 [43]~E(x431,x432)+E(f24(x431,x433),f24(x432,x433))
% 26.55/26.65 [44]~E(x441,x442)+E(f24(x443,x441),f24(x443,x442))
% 26.55/26.65 [45]~E(x451,x452)+E(f15(x451,x453),f15(x452,x453))
% 26.55/26.65 [46]~E(x461,x462)+E(f15(x463,x461),f15(x463,x462))
% 26.55/26.65 [47]~E(x471,x472)+E(f16(x471,x473,x474),f16(x472,x473,x474))
% 26.55/26.65 [48]~E(x481,x482)+E(f16(x483,x481,x484),f16(x483,x482,x484))
% 26.55/26.65 [49]~E(x491,x492)+E(f16(x493,x494,x491),f16(x493,x494,x492))
% 26.55/26.65 [50]~E(x501,x502)+E(f5(x501,x503),f5(x502,x503))
% 26.55/26.65 [51]~E(x511,x512)+E(f5(x513,x511),f5(x513,x512))
% 26.55/26.65 [52]~E(x521,x522)+E(f17(x521,x523),f17(x522,x523))
% 26.55/26.65 [53]~E(x531,x532)+E(f17(x533,x531),f17(x533,x532))
% 26.65/26.65 [54]~E(x541,x542)+E(f3(x541,x543),f3(x542,x543))
% 26.65/26.65 [55]~E(x551,x552)+E(f3(x553,x551),f3(x553,x552))
% 26.65/26.65 [56]~E(x561,x562)+E(f29(x561,x563),f29(x562,x563))
% 26.65/26.65 [57]~E(x571,x572)+E(f29(x573,x571),f29(x573,x572))
% 26.65/26.65 [58]~E(x581,x582)+E(f6(x581,x583),f6(x582,x583))
% 26.65/26.65 [59]~E(x591,x592)+E(f6(x593,x591),f6(x593,x592))
% 26.65/26.65 [60]~P1(x601)+P1(x602)+~E(x601,x602)
% 26.65/26.65 [61]P11(x612,x613)+~E(x611,x612)+~P11(x611,x613)
% 26.65/26.65 [62]P11(x623,x622)+~E(x621,x622)+~P11(x623,x621)
% 26.65/26.65 [63]P7(x632,x633)+~E(x631,x632)+~P7(x631,x633)
% 26.65/26.65 [64]P7(x643,x642)+~E(x641,x642)+~P7(x643,x641)
% 26.65/26.65 [65]P2(x652,x653)+~E(x651,x652)+~P2(x651,x653)
% 26.65/26.65 [66]P2(x663,x662)+~E(x661,x662)+~P2(x663,x661)
% 26.65/26.65 [67]P5(x672,x673,x674,x675)+~E(x671,x672)+~P5(x671,x673,x674,x675)
% 26.65/26.65 [68]P5(x683,x682,x684,x685)+~E(x681,x682)+~P5(x683,x681,x684,x685)
% 26.65/26.65 [69]P5(x693,x694,x692,x695)+~E(x691,x692)+~P5(x693,x694,x691,x695)
% 26.65/26.65 [70]P5(x703,x704,x705,x702)+~E(x701,x702)+~P5(x703,x704,x705,x701)
% 26.65/26.65 [71]~P3(x711)+P3(x712)+~E(x711,x712)
% 26.65/26.65 [72]P6(x722,x723)+~E(x721,x722)+~P6(x721,x723)
% 26.65/26.65 [73]P6(x733,x732)+~E(x731,x732)+~P6(x733,x731)
% 26.65/26.65 [74]P9(x742,x743)+~E(x741,x742)+~P9(x741,x743)
% 26.65/26.65 [75]P9(x753,x752)+~E(x751,x752)+~P9(x753,x751)
% 26.65/26.65 [76]P10(x762,x763,x764)+~E(x761,x762)+~P10(x761,x763,x764)
% 26.65/26.65 [77]P10(x773,x772,x774)+~E(x771,x772)+~P10(x773,x771,x774)
% 26.65/26.65 [78]P10(x783,x784,x782)+~E(x781,x782)+~P10(x783,x784,x781)
% 26.65/26.65 [79]P12(x792,x793)+~E(x791,x792)+~P12(x791,x793)
% 26.65/26.65 [80]P12(x803,x802)+~E(x801,x802)+~P12(x803,x801)
% 26.65/26.65 [81]P13(x812,x813,x814)+~E(x811,x812)+~P13(x811,x813,x814)
% 26.65/26.65 [82]P13(x823,x822,x824)+~E(x821,x822)+~P13(x823,x821,x824)
% 26.65/26.65 [83]P13(x833,x834,x832)+~E(x831,x832)+~P13(x833,x834,x831)
% 26.65/26.65 [84]P4(x842,x843,x844,x845)+~E(x841,x842)+~P4(x841,x843,x844,x845)
% 26.65/26.65 [85]P4(x853,x852,x854,x855)+~E(x851,x852)+~P4(x853,x851,x854,x855)
% 26.65/26.65 [86]P4(x863,x864,x862,x865)+~E(x861,x862)+~P4(x863,x864,x861,x865)
% 26.65/26.65 [87]P4(x873,x874,x875,x872)+~E(x871,x872)+~P4(x873,x874,x875,x871)
% 26.65/26.65 [88]P8(x882,x883)+~E(x881,x882)+~P8(x881,x883)
% 26.65/26.65 [89]P8(x893,x892)+~E(x891,x892)+~P8(x893,x891)
% 26.65/26.65
% 26.65/26.65 %-------------------------------------------
% 26.65/26.65 cnf(178,plain,
% 26.65/26.65 (~P9(x1781,x1782)+P7(x1781,f27(x1782))),
% 26.65/26.65 inference(equality_inference,[],[107])).
% 26.65/26.65 cnf(179,plain,
% 26.65/26.65 (~P7(x1791,f27(x1792))+P9(x1791,x1792)),
% 26.65/26.65 inference(equality_inference,[],[108])).
% 26.65/26.65 cnf(180,plain,
% 26.65/26.65 (~P7(x1801,x1802)+P7(x1801,f28(x1803,x1802))),
% 26.65/26.65 inference(equality_inference,[],[114])).
% 26.65/26.65 cnf(181,plain,
% 26.65/26.65 (~P7(x1811,x1812)+P7(x1811,f28(x1812,x1813))),
% 26.65/26.65 inference(equality_inference,[],[115])).
% 26.65/26.65 cnf(184,plain,
% 26.65/26.65 (~P4(x1842,x1841,x1843,x1841)),
% 26.65/26.65 inference(equality_inference,[],[159])).
% 26.65/26.65 cnf(194,plain,
% 26.65/26.65 (~P13(x1941,x1942,x1943)+~P13(x1941,x1943,x1942)),
% 26.65/26.65 inference(scs_inference,[],[91,95,184,93,174,99,61,62,65,66,162])).
% 26.65/26.65 cnf(210,plain,
% 26.65/26.65 (P13(x2101,a9,a19)+~P9(a9,x2101)+~P8(a19,x2101)),
% 26.65/26.65 inference(scs_inference,[],[95,94,135])).
% 26.65/26.65 cnf(290,plain,
% 26.65/26.65 (~P6(x2901,f1(x2902))+P9(x2901,x2902)),
% 26.65/26.65 inference(scs_inference,[],[101,110])).
% 26.65/26.65 cnf(347,plain,
% 26.65/26.65 (P7(a9,f1(a10))),
% 26.65/26.65 inference(scs_inference,[],[91,103,105])).
% 26.65/26.65 cnf(354,plain,
% 26.65/26.65 (P13(a10,a19,a9)),
% 26.65/26.65 inference(scs_inference,[],[95,92,347,110,180,181,136])).
% 26.65/26.65 cnf(356,plain,
% 26.65/26.65 (~P13(a10,a9,a19)),
% 26.65/26.65 inference(scs_inference,[],[95,92,347,110,180,181,136,194])).
% 26.65/26.65 cnf(359,plain,
% 26.65/26.65 (~P8(a19,a10)),
% 26.65/26.65 inference(scs_inference,[],[95,92,347,110,180,181,136,194,63,210])).
% 26.65/26.65 cnf(531,plain,
% 26.65/26.65 (P7(a19,f1(a10))),
% 26.65/26.65 inference(scs_inference,[],[354,134,105])).
% 26.65/26.65 cnf(533,plain,
% 26.65/26.65 (P9(a19,a10)),
% 26.65/26.65 inference(scs_inference,[],[531,110])).
% 26.65/26.65 cnf(640,plain,
% 26.65/26.65 (P7(x6401,f27(x6402))+~P6(x6401,f1(x6402))),
% 26.65/26.65 inference(scs_inference,[],[290,178])).
% 26.65/26.65 cnf(942,plain,
% 26.65/26.65 (P7(f26(f1(x9421)),f27(x9421))),
% 26.65/26.65 inference(scs_inference,[],[90,640,98])).
% 26.65/26.65 cnf(3790,plain,
% 26.65/26.65 (~E(f8(a19,a10),a19)),
% 26.65/26.65 inference(scs_inference,[],[359,533,88,117])).
% 26.65/26.65 cnf(3801,plain,
% 26.65/26.65 (P13(a10,f8(a19,a10),a19)+~P11(f8(a19,a10),a10)),
% 26.65/26.65 inference(scs_inference,[],[533,3790,136])).
% 26.65/26.65 cnf(3886,plain,
% 26.65/26.65 (~P11(f8(a19,a10),a10)),
% 26.65/26.65 inference(scs_inference,[],[359,533,3801,147])).
% 26.65/26.65 cnf(3887,plain,
% 26.65/26.65 (~E(a9,f8(a19,a10))),
% 26.65/26.65 inference(scs_inference,[],[91,3886,61])).
% 26.65/26.65 cnf(4016,plain,
% 26.65/26.65 (~E(a9,a19)),
% 26.65/26.65 inference(scs_inference,[],[95,2])).
% 26.65/26.65 cnf(4021,plain,
% 26.65/26.65 (P7(f20(x40211),x40211)),
% 26.65/26.65 inference(scs_inference,[],[95,942,533,93,2,178,179,102])).
% 26.65/26.65 cnf(4023,plain,
% 26.65/26.65 (P9(f20(f1(x40231)),x40231)),
% 26.65/26.65 inference(scs_inference,[],[95,942,533,93,2,178,179,102,110])).
% 26.65/26.65 cnf(4044,plain,
% 26.65/26.65 ($false),
% 26.65/26.65 inference(scs_inference,[],[91,3887,4016,533,4023,356,4021,178,2,180,181,136]),
% 26.65/26.65 ['proof']).
% 26.65/26.65 % SZS output end Proof
% 26.65/26.65 % Total time :26.000000s
%------------------------------------------------------------------------------