%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO125+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n018.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 23.96s 24.03s
% Output : CNFRefutation 23.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO125+1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jun 21 06:59:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 23.96/24.03 %-------------------------------------------
% 23.96/24.03 % File :CSE---1.7
% 23.96/24.03 % Problem :theBenchmark
% 23.96/24.03 % Transform :cnf
% 23.96/24.03 % Format :tptp:raw
% 23.96/24.03 % Command :java -jar mcs_scs.jar %d %s
% 23.96/24.03
% 23.96/24.03 % Result :Theorem 23.350000s
% 23.96/24.03 % Output :CNFRefutation 23.350000s
% 23.96/24.03 %-------------------------------------------
% 23.96/24.03 %--------------------------------------------------------------------------
% 23.96/24.03 % File : GEO125+1 : TPTP v8.2.0. Released v2.4.0.
% 23.96/24.03 % Domain : Geometry (Oriented curves)
% 23.96/24.03 % Problem : Every oriented curve has at most one finishing point
% 23.96/24.03 % Version : [EHK99] axioms.
% 23.96/24.03 % English :
% 23.96/24.03
% 23.96/24.03 % Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv
% 23.96/24.03 % : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto
% 23.96/24.03 % Source : [KE99]
% 23.96/24.03 % Names : Corollary 4.10 (2) [KE99]
% 23.96/24.03
% 23.96/24.03 % Status : Theorem
% 23.96/24.03 % Rating : 0.36 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, 0.23 v6.4.0, 0.27 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, 0.25 v3.5.0, 0.21 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
% 23.96/24.03 % Syntax : Number of formulae : 28 ( 2 unt; 0 def)
% 23.96/24.03 % Number of atoms : 115 ( 17 equ)
% 23.96/24.03 % Maximal formula atoms : 12 ( 4 avg)
% 23.96/24.03 % Number of connectives : 95 ( 8 ~; 10 |; 39 &)
% 23.96/24.03 % ( 20 <=>; 18 =>; 0 <=; 0 <~>)
% 23.96/24.03 % Maximal formula depth : 12 ( 7 avg)
% 23.96/24.03 % Maximal term depth : 2 ( 1 avg)
% 23.96/24.03 % Number of predicates : 14 ( 13 usr; 0 prp; 1-4 aty)
% 23.96/24.03 % Number of functors : 2 ( 2 usr; 0 con; 1-2 aty)
% 23.96/24.03 % Number of variables : 97 ( 83 !; 14 ?)
% 23.96/24.03 % SPC : FOF_THM_RFO_SEQ
% 23.96/24.03
% 23.96/24.03 % Comments :
% 23.96/24.03 %--------------------------------------------------------------------------
% 23.96/24.03 %----Include simple curve axioms
% 23.96/24.03 include('Axioms/GEO004+0.ax').
% 23.96/24.03 %----Include axioms of betweenness for simple curves
% 23.96/24.03 include('Axioms/GEO004+1.ax').
% 23.96/24.03 %----Include oriented curve axioms
% 23.96/24.03 include('Axioms/GEO004+2.ax').
% 23.96/24.03 %--------------------------------------------------------------------------
% 23.96/24.03 fof(corollary_4_10_2,conjecture,
% 23.96/24.03 ! [O,P,Q] :
% 23.96/24.03 ( ( finish_point(P,O)
% 23.96/24.03 & finish_point(Q,O) )
% 23.96/24.03 => P = Q ) ).
% 23.96/24.03
% 23.96/24.03 %--------------------------------------------------------------------------
% 23.96/24.03 %-------------------------------------------
% 23.96/24.03 % Proof found
% 23.96/24.03 % SZS status Theorem for theBenchmark
% 23.96/24.03 % SZS output start Proof
% 23.96/24.04 %ClaNum:177(EqnAxiom:89)
% 23.96/24.04 %VarNum:701(SingletonVarNum:245)
% 23.96/24.04 %MaxLitNum:12
% 23.96/24.04 %MaxfuncDepth:2
% 23.96/24.04 %SharedTerms:6
% 23.96/24.04 %goalClause: 91 92 95
% 23.96/24.04 %singleGoalClaCount:3
% 23.96/24.04 [91]P2(a9,a10)
% 23.96/24.04 [92]P2(a19,a10)
% 23.96/24.04 [95]~E(a19,a9)
% 23.96/24.04 [90]P1(f1(x901))
% 23.96/24.04 [93]P7(f20(x931),x931)
% 23.96/24.04 [94]P11(f11(x941),x941)
% 23.96/24.04 [96]P3(x961)+P6(f21(x961),x961)
% 23.96/24.04 [98]~P1(x981)+P6(f26(x981),x981)
% 23.96/24.04 [97]P1(x971)+~P6(x972,x971)
% 23.96/24.04 [100]~P3(x1001)+~P6(x1002,x1001)
% 23.96/24.04 [101]~P6(x1011,x1012)+P8(x1011,x1012)
% 23.96/24.04 [102]~P7(x1021,x1022)+P8(x1021,x1022)
% 23.96/24.04 [103]~P11(x1031,x1032)+P9(x1031,x1032)
% 23.96/24.04 [104]~P2(x1041,x1042)+P9(x1041,x1042)
% 23.96/24.04 [106]~P7(x1061,x1062)+~P6(x1061,x1062)
% 23.96/24.04 [105]~P9(x1051,x1052)+P8(x1051,f1(x1052))
% 23.96/24.04 [109]~P6(x1092,x1091)+~E(f2(x1091,x1092),x1092)
% 23.96/24.04 [110]P9(x1101,x1102)+~P8(x1101,f1(x1102))
% 23.96/24.04 [112]P12(x1121,x1122)+P8(f12(x1122,x1121),x1121)
% 23.96/24.04 [118]~P6(x1182,x1181)+P6(f2(x1181,x1182),x1181)
% 23.96/24.04 [127]P12(x1271,x1272)+~P8(f12(x1272,x1271),x1272)
% 23.96/24.04 [139]~P7(x1391,x1392)+P10(x1391,f29(x1392,x1391),f3(x1392,x1391))
% 23.96/24.04 [130]~P7(x1302,x1301)+E(f28(f29(x1301,x1302),f3(x1301,x1302)),x1301)
% 23.96/24.04 [131]P8(x1311,x1312)+~P10(x1311,x1313,x1312)
% 23.96/24.04 [132]P8(x1321,x1322)+~P10(x1321,x1322,x1323)
% 23.96/24.04 [133]P9(x1331,x1332)+~P13(x1332,x1333,x1331)
% 23.96/24.04 [134]P9(x1341,x1342)+~P13(x1342,x1341,x1343)
% 23.96/24.04 [137]~P10(x1373,x1371,x1372)+E(f6(x1371,x1372),f28(x1371,x1372))
% 23.96/24.04 [159]~E(x1591,x1592)+~P4(x1593,x1591,x1594,x1592)
% 23.96/24.04 [169]~P4(x1692,x1693,x1694,x1691)+P6(x1691,f7(x1692,x1693,x1694,x1691))
% 23.96/24.04 [170]~P4(x1702,x1701,x1703,x1704)+P6(x1701,f7(x1702,x1701,x1703,x1704))
% 23.96/24.04 [171]~P4(x1712,x1713,x1711,x1714)+P7(x1711,f7(x1712,x1713,x1711,x1714))
% 23.96/24.04 [172]~P4(x1721,x1722,x1723,x1724)+P12(f7(x1721,x1722,x1723,x1724),x1721)
% 23.96/24.04 [174]~P5(x1744,x1741,x1742,x1743)+P4(f13(x1741,x1742,x1743,x1744),x1741,x1742,x1743)
% 23.96/24.04 [99]P1(x991)+~P12(x991,x992)+E(x991,x992)
% 23.96/24.04 [111]P7(x1111,x1112)+~P8(x1111,x1112)+P6(x1111,x1112)
% 23.96/24.04 [116]~P9(x1161,x1162)+P11(x1161,x1162)+~E(f4(x1161,x1162),x1161)
% 23.96/24.04 [117]~P9(x1171,x1172)+P2(x1171,x1172)+~E(f8(x1171,x1172),x1171)
% 23.96/24.04 [121]~P8(x1211,x1212)+P6(x1211,x1212)+P8(x1211,f22(x1211,x1212))
% 23.96/24.04 [122]~P8(x1221,x1222)+P6(x1221,x1222)+P8(x1221,f24(x1221,x1222))
% 23.96/24.04 [123]~P8(x1231,x1232)+P6(x1231,x1232)+P12(f22(x1231,x1232),x1232)
% 23.96/24.04 [124]~P8(x1241,x1242)+P6(x1241,x1242)+P12(f24(x1241,x1242),x1242)
% 23.96/24.04 [125]~P9(x1251,x1252)+P11(x1251,x1252)+P9(f4(x1251,x1252),x1252)
% 23.96/24.04 [126]~P9(x1261,x1262)+P2(x1261,x1262)+P9(f8(x1261,x1262),x1262)
% 23.96/24.04 [128]E(x1281,x1282)+P8(f5(x1281,x1282),x1282)+P8(f5(x1281,x1282),x1281)
% 23.96/24.04 [129]P8(f15(x1291,x1292),x1291)+P9(f15(x1291,x1292),x1292)+E(x1291,f27(x1292))
% 23.96/24.04 [138]E(x1381,x1382)+~P8(f5(x1381,x1382),x1382)+~P8(f5(x1381,x1382),x1381)
% 23.96/24.04 [140]~P8(f15(x1401,x1402),x1401)+~P9(f15(x1401,x1402),x1402)+E(x1401,f27(x1402))
% 23.96/24.04 [141]~P8(x1411,x1412)+P6(x1411,x1412)+~P12(f22(x1411,x1412),f24(x1411,x1412))
% 23.96/24.04 [142]~P8(x1421,x1422)+P6(x1421,x1422)+~P12(f24(x1421,x1422),f22(x1421,x1422))
% 23.96/24.04 [146]~P9(x1461,x1462)+P11(x1461,x1462)+~P13(x1462,x1461,f4(x1461,x1462))
% 23.96/24.04 [147]~P9(x1471,x1472)+P2(x1471,x1472)+~P13(x1472,f8(x1471,x1472),x1471)
% 23.96/24.04 [150]E(x1501,x1502)+P13(x1502,f17(x1501,x1502),f18(x1501,x1502))+P13(x1501,f17(x1501,x1502),f18(x1501,x1502))
% 23.96/24.04 [156]E(x1561,x1562)+~P13(x1562,f17(x1561,x1562),f18(x1561,x1562))+~P13(x1561,f17(x1561,x1562),f18(x1561,x1562))
% 23.96/24.04 [113]~P8(x1131,x1133)+P8(x1131,x1132)+~P12(x1133,x1132)
% 23.96/24.04 [107]~P9(x1071,x1073)+P8(x1071,x1072)+~E(x1072,f27(x1073))
% 23.96/24.04 [108]~P8(x1081,x1083)+P9(x1081,x1082)+~E(x1083,f27(x1082))
% 23.96/24.04 [160]~P8(f23(x1601,x1602,x1603),x1603)+~P8(f23(x1601,x1602,x1603),x1601)+E(x1601,f28(x1602,x1603))
% 23.96/24.04 [161]~P8(f23(x1611,x1612,x1613),x1612)+~P8(f23(x1611,x1612,x1613),x1611)+E(x1611,f28(x1612,x1613))
% 23.96/24.04 [162]~P13(x1621,x1623,x1622)+~P13(x1621,x1624,x1623)+P5(x1621,x1622,x1623,x1624)
% 23.96/24.04 [163]~P13(x1631,x1633,x1634)+~P13(x1631,x1632,x1633)+P5(x1631,x1632,x1633,x1634)
% 23.96/24.04 [165]~P5(x1651,x1652,x1653,x1654)+P13(x1651,x1652,x1653)+P13(x1651,x1654,x1653)
% 23.96/24.04 [166]P13(x1661,x1663,x1662)+P13(x1661,x1662,x1663)+~P5(x1661,x1664,x1662,x1663)
% 23.96/24.04 [167]P13(x1671,x1673,x1672)+P13(x1671,x1672,x1673)+~P5(x1671,x1672,x1673,x1674)
% 23.96/24.04 [168]~P5(x1681,x1684,x1682,x1683)+P13(x1681,x1682,x1683)+P13(x1681,x1682,x1684)
% 23.96/24.04 [114]~P8(x1141,x1144)+P8(x1141,x1142)+~E(x1142,f28(x1143,x1144))
% 23.96/24.04 [115]~P8(x1151,x1153)+P8(x1151,x1152)+~E(x1152,f28(x1153,x1154))
% 23.96/24.04 [173]~P9(x1731,x1735)+~P5(x1735,x1732,x1733,x1734)+P8(x1731,f13(x1732,x1733,x1734,x1735))
% 23.96/24.04 [175]P9(x1751,x1752)+~P5(x1752,x1753,x1754,x1755)+~P8(x1751,f13(x1753,x1754,x1755,x1752))
% 23.96/24.04 [135]~P9(x1352,x1353)+~P2(x1351,x1353)+E(x1351,x1352)+P13(x1353,x1352,x1351)
% 23.96/24.04 [136]~P11(x1361,x1363)+~P9(x1362,x1363)+E(x1361,x1362)+P13(x1363,x1361,x1362)
% 23.96/24.04 [152]~P8(x1521,x1523)+~P8(x1521,x1522)+P10(x1521,x1522,x1523)+P8(f25(x1521,x1522,x1523),x1523)
% 23.96/24.04 [153]~P8(x1531,x1533)+~P8(x1531,x1532)+P10(x1531,x1532,x1533)+P8(f25(x1531,x1532,x1533),x1532)
% 23.96/24.04 [158]P8(f23(x1581,x1582,x1583),x1583)+P8(f23(x1581,x1582,x1583),x1582)+P8(f23(x1581,x1582,x1583),x1581)+E(x1581,f28(x1582,x1583))
% 23.96/24.04 [144]~P8(x1441,x1442)+P6(x1441,x1442)+~P10(x1444,x1443,x1442)+~P8(x1441,x1443)
% 23.96/24.04 [145]~P8(x1451,x1452)+P6(x1451,x1452)+~P10(x1454,x1452,x1453)+~P8(x1451,x1453)
% 23.96/24.04 [120]~P8(x1201,x1204)+P8(x1201,x1202)+P8(x1201,x1203)+~E(x1204,f28(x1203,x1202))
% 23.96/24.04 [176]~P4(x1765,x1762,x1763,x1764)+P5(x1761,x1762,x1763,x1764)+P8(f14(x1762,x1763,x1764,x1761,x1765),x1765)+P9(f14(x1762,x1763,x1764,x1761,x1765),x1761)
% 23.96/24.04 [177]P5(x1771,x1772,x1773,x1774)+~P4(x1775,x1772,x1773,x1774)+~P8(f14(x1772,x1773,x1774,x1771,x1775),x1775)+~P9(f14(x1772,x1773,x1774,x1771,x1775),x1771)
% 23.96/24.04 [151]~P1(x1513)+~P8(x1512,x1513)+~P8(x1511,x1513)+E(x1511,x1512)+P13(f16(x1511,x1512,x1513),x1511,x1512)
% 23.96/24.04 [164]~P8(x1641,x1643)+~P8(x1641,x1642)+P10(x1641,x1642,x1643)+~P6(f25(x1641,x1642,x1643),x1643)+~P6(f25(x1641,x1642,x1643),x1642)
% 23.96/24.04 [148]~P3(x1484)+~P6(x1481,x1482)+P10(x1481,x1482,x1483)+~P10(x1485,x1482,x1483)+~E(x1484,f28(x1482,x1483))
% 23.96/24.04 [119]E(x1193,x1191)+~P6(x1191,x1194)+~P6(x1193,x1194)+E(x1191,x1192)+E(x1193,x1192)+~P6(x1192,x1194)
% 23.96/24.04 [149]~P1(x1494)+~P8(x1492,x1494)+~P8(x1491,x1494)+~P8(x1493,x1494)+E(x1491,x1492)+P9(x1493,f16(x1491,x1492,x1494))
% 23.96/24.04 [155]~P1(x1554)+~P8(x1552,x1554)+~P8(x1551,x1554)+E(x1551,x1552)+P8(x1553,x1554)+~P9(x1553,f16(x1551,x1552,x1554))
% 23.96/24.04 [157]~P6(x1572,x1575)+~P6(x1571,x1575)+~P7(x1574,x1575)+E(x1571,x1572)+P4(x1573,x1571,x1574,x1572)+~P12(x1575,x1573)
% 23.96/24.04 [143]P12(x1432,x1431)+~P12(x1432,x1433)+~P8(x1434,x1432)+~P6(x1434,x1433)+P12(x1431,x1432)+~P12(x1431,x1433)+~P8(x1434,x1431)
% 23.96/24.04 [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)
% 23.96/24.04 %EqnAxiom
% 23.96/24.04 [1]E(x11,x11)
% 23.96/24.04 [2]E(x22,x21)+~E(x21,x22)
% 23.96/24.04 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 23.96/24.04 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 23.96/24.04 [5]~E(x51,x52)+E(f20(x51),f20(x52))
% 23.96/24.04 [6]~E(x61,x62)+E(f11(x61),f11(x62))
% 23.96/24.04 [7]~E(x71,x72)+E(f21(x71),f21(x72))
% 23.96/24.04 [8]~E(x81,x82)+E(f26(x81),f26(x82))
% 23.96/24.04 [9]~E(x91,x92)+E(f14(x91,x93,x94,x95,x96),f14(x92,x93,x94,x95,x96))
% 23.96/24.04 [10]~E(x101,x102)+E(f14(x103,x101,x104,x105,x106),f14(x103,x102,x104,x105,x106))
% 23.96/24.04 [11]~E(x111,x112)+E(f14(x113,x114,x111,x115,x116),f14(x113,x114,x112,x115,x116))
% 23.96/24.04 [12]~E(x121,x122)+E(f14(x123,x124,x125,x121,x126),f14(x123,x124,x125,x122,x126))
% 23.96/24.04 [13]~E(x131,x132)+E(f14(x133,x134,x135,x136,x131),f14(x133,x134,x135,x136,x132))
% 23.96/24.04 [14]~E(x141,x142)+E(f27(x141),f27(x142))
% 23.96/24.04 [15]~E(x151,x152)+E(f13(x151,x153,x154,x155),f13(x152,x153,x154,x155))
% 23.96/24.04 [16]~E(x161,x162)+E(f13(x163,x161,x164,x165),f13(x163,x162,x164,x165))
% 23.96/24.04 [17]~E(x171,x172)+E(f13(x173,x174,x171,x175),f13(x173,x174,x172,x175))
% 23.96/24.04 [18]~E(x181,x182)+E(f13(x183,x184,x185,x181),f13(x183,x184,x185,x182))
% 23.96/24.04 [19]~E(x191,x192)+E(f2(x191,x193),f2(x192,x193))
% 23.96/24.04 [20]~E(x201,x202)+E(f2(x203,x201),f2(x203,x202))
% 23.96/24.04 [21]~E(x211,x212)+E(f7(x211,x213,x214,x215),f7(x212,x213,x214,x215))
% 23.96/24.04 [22]~E(x221,x222)+E(f7(x223,x221,x224,x225),f7(x223,x222,x224,x225))
% 23.96/24.04 [23]~E(x231,x232)+E(f7(x233,x234,x231,x235),f7(x233,x234,x232,x235))
% 23.96/24.04 [24]~E(x241,x242)+E(f7(x243,x244,x245,x241),f7(x243,x244,x245,x242))
% 23.96/24.04 [25]~E(x251,x252)+E(f12(x251,x253),f12(x252,x253))
% 23.96/24.04 [26]~E(x261,x262)+E(f12(x263,x261),f12(x263,x262))
% 23.96/24.04 [27]~E(x271,x272)+E(f28(x271,x273),f28(x272,x273))
% 23.96/24.04 [28]~E(x281,x282)+E(f28(x283,x281),f28(x283,x282))
% 23.96/24.04 [29]~E(x291,x292)+E(f23(x291,x293,x294),f23(x292,x293,x294))
% 23.96/24.04 [30]~E(x301,x302)+E(f23(x303,x301,x304),f23(x303,x302,x304))
% 23.96/24.04 [31]~E(x311,x312)+E(f23(x313,x314,x311),f23(x313,x314,x312))
% 23.96/24.04 [32]~E(x321,x322)+E(f4(x321,x323),f4(x322,x323))
% 23.96/24.04 [33]~E(x331,x332)+E(f4(x333,x331),f4(x333,x332))
% 23.96/24.04 [34]~E(x341,x342)+E(f8(x341,x343),f8(x342,x343))
% 23.96/24.04 [35]~E(x351,x352)+E(f8(x353,x351),f8(x353,x352))
% 23.96/24.04 [36]~E(x361,x362)+E(f25(x361,x363,x364),f25(x362,x363,x364))
% 23.96/24.04 [37]~E(x371,x372)+E(f25(x373,x371,x374),f25(x373,x372,x374))
% 23.96/24.04 [38]~E(x381,x382)+E(f25(x383,x384,x381),f25(x383,x384,x382))
% 23.96/24.04 [39]~E(x391,x392)+E(f18(x391,x393),f18(x392,x393))
% 23.96/24.04 [40]~E(x401,x402)+E(f18(x403,x401),f18(x403,x402))
% 23.96/24.04 [41]~E(x411,x412)+E(f22(x411,x413),f22(x412,x413))
% 23.96/24.04 [42]~E(x421,x422)+E(f22(x423,x421),f22(x423,x422))
% 23.96/24.04 [43]~E(x431,x432)+E(f24(x431,x433),f24(x432,x433))
% 23.96/24.05 [44]~E(x441,x442)+E(f24(x443,x441),f24(x443,x442))
% 23.96/24.05 [45]~E(x451,x452)+E(f15(x451,x453),f15(x452,x453))
% 23.96/24.05 [46]~E(x461,x462)+E(f15(x463,x461),f15(x463,x462))
% 23.96/24.05 [47]~E(x471,x472)+E(f16(x471,x473,x474),f16(x472,x473,x474))
% 23.96/24.05 [48]~E(x481,x482)+E(f16(x483,x481,x484),f16(x483,x482,x484))
% 23.96/24.05 [49]~E(x491,x492)+E(f16(x493,x494,x491),f16(x493,x494,x492))
% 23.96/24.05 [50]~E(x501,x502)+E(f5(x501,x503),f5(x502,x503))
% 23.96/24.05 [51]~E(x511,x512)+E(f5(x513,x511),f5(x513,x512))
% 23.96/24.05 [52]~E(x521,x522)+E(f17(x521,x523),f17(x522,x523))
% 23.96/24.05 [53]~E(x531,x532)+E(f17(x533,x531),f17(x533,x532))
% 23.96/24.05 [54]~E(x541,x542)+E(f3(x541,x543),f3(x542,x543))
% 23.96/24.05 [55]~E(x551,x552)+E(f3(x553,x551),f3(x553,x552))
% 23.96/24.05 [56]~E(x561,x562)+E(f29(x561,x563),f29(x562,x563))
% 23.96/24.05 [57]~E(x571,x572)+E(f29(x573,x571),f29(x573,x572))
% 23.96/24.05 [58]~E(x581,x582)+E(f6(x581,x583),f6(x582,x583))
% 23.96/24.05 [59]~E(x591,x592)+E(f6(x593,x591),f6(x593,x592))
% 23.96/24.05 [60]~P1(x601)+P1(x602)+~E(x601,x602)
% 23.96/24.05 [61]P2(x612,x613)+~E(x611,x612)+~P2(x611,x613)
% 23.96/24.05 [62]P2(x623,x622)+~E(x621,x622)+~P2(x623,x621)
% 23.96/24.05 [63]P8(x632,x633)+~E(x631,x632)+~P8(x631,x633)
% 23.96/24.05 [64]P8(x643,x642)+~E(x641,x642)+~P8(x643,x641)
% 23.96/24.05 [65]P7(x652,x653)+~E(x651,x652)+~P7(x651,x653)
% 23.96/24.05 [66]P7(x663,x662)+~E(x661,x662)+~P7(x663,x661)
% 23.96/24.05 [67]P11(x672,x673)+~E(x671,x672)+~P11(x671,x673)
% 23.96/24.05 [68]P11(x683,x682)+~E(x681,x682)+~P11(x683,x681)
% 23.96/24.05 [69]~P3(x691)+P3(x692)+~E(x691,x692)
% 23.96/24.05 [70]P6(x702,x703)+~E(x701,x702)+~P6(x701,x703)
% 23.96/24.05 [71]P6(x713,x712)+~E(x711,x712)+~P6(x713,x711)
% 23.96/24.05 [72]P9(x722,x723)+~E(x721,x722)+~P9(x721,x723)
% 23.96/24.05 [73]P9(x733,x732)+~E(x731,x732)+~P9(x733,x731)
% 23.96/24.05 [74]P13(x742,x743,x744)+~E(x741,x742)+~P13(x741,x743,x744)
% 23.96/24.05 [75]P13(x753,x752,x754)+~E(x751,x752)+~P13(x753,x751,x754)
% 23.96/24.05 [76]P13(x763,x764,x762)+~E(x761,x762)+~P13(x763,x764,x761)
% 23.96/24.05 [77]P5(x772,x773,x774,x775)+~E(x771,x772)+~P5(x771,x773,x774,x775)
% 23.96/24.05 [78]P5(x783,x782,x784,x785)+~E(x781,x782)+~P5(x783,x781,x784,x785)
% 23.96/24.05 [79]P5(x793,x794,x792,x795)+~E(x791,x792)+~P5(x793,x794,x791,x795)
% 23.96/24.05 [80]P5(x803,x804,x805,x802)+~E(x801,x802)+~P5(x803,x804,x805,x801)
% 23.96/24.05 [81]P4(x812,x813,x814,x815)+~E(x811,x812)+~P4(x811,x813,x814,x815)
% 23.96/24.05 [82]P4(x823,x822,x824,x825)+~E(x821,x822)+~P4(x823,x821,x824,x825)
% 23.96/24.05 [83]P4(x833,x834,x832,x835)+~E(x831,x832)+~P4(x833,x834,x831,x835)
% 23.96/24.05 [84]P4(x843,x844,x845,x842)+~E(x841,x842)+~P4(x843,x844,x845,x841)
% 23.96/24.05 [85]P10(x852,x853,x854)+~E(x851,x852)+~P10(x851,x853,x854)
% 23.96/24.05 [86]P10(x863,x862,x864)+~E(x861,x862)+~P10(x863,x861,x864)
% 23.96/24.05 [87]P10(x873,x874,x872)+~E(x871,x872)+~P10(x873,x874,x871)
% 23.96/24.05 [88]P12(x882,x883)+~E(x881,x882)+~P12(x881,x883)
% 23.96/24.05 [89]P12(x893,x892)+~E(x891,x892)+~P12(x893,x891)
% 23.96/24.05
% 23.96/24.05 %-------------------------------------------
% 23.96/24.05 cnf(179,plain,
% 23.96/24.05 (~P8(x1791,f27(x1792))+P9(x1791,x1792)),
% 23.96/24.05 inference(equality_inference,[],[108])).
% 23.96/24.05 cnf(184,plain,
% 23.96/24.05 (~P4(x1842,x1841,x1843,x1841)),
% 23.96/24.05 inference(equality_inference,[],[159])).
% 23.96/24.05 cnf(185,plain,
% 23.96/24.05 (~P5(x1851,x1852,x1853,x1852)),
% 23.96/24.05 inference(scs_inference,[],[184,174])).
% 23.96/24.05 cnf(194,plain,
% 23.96/24.05 (P11(x1941,x1942)+~E(f11(x1942),x1941)),
% 23.96/24.05 inference(scs_inference,[],[91,95,184,93,94,174,99,61,62,65,66,67])).
% 23.96/24.05 cnf(201,plain,
% 23.96/24.05 (~P13(x2011,x2012,x2013)+~P13(x2011,x2013,x2012)),
% 23.96/24.05 inference(scs_inference,[],[185,94,68,162])).
% 23.96/24.05 cnf(210,plain,
% 23.96/24.05 (P13(a10,a9,a19)+~P9(a9,a10)),
% 23.96/24.05 inference(scs_inference,[],[95,92,135])).
% 23.96/24.05 cnf(212,plain,
% 23.96/24.05 (~P13(a10,a19,a9)+~P9(a9,a10)),
% 23.96/24.05 inference(scs_inference,[],[95,92,135,201])).
% 23.96/24.05 cnf(309,plain,
% 23.96/24.05 (P9(f20(f27(x3091)),x3091)),
% 23.96/24.05 inference(scs_inference,[],[93,102,179])).
% 23.96/24.05 cnf(311,plain,
% 23.96/24.05 (P13(a10,a9,a19)+~E(f20(f27(a10)),a9)),
% 23.96/24.05 inference(scs_inference,[],[92,95,309,72,135])).
% 23.96/24.05 cnf(528,plain,
% 23.96/24.05 (~P13(a10,x5281,a9)+P13(a10,a9,a19)),
% 23.96/24.05 inference(scs_inference,[],[133,210])).
% 23.96/24.05 cnf(552,plain,
% 23.96/24.05 (~P13(a10,a9,x5521)+~P13(a10,a19,a9)),
% 23.96/24.05 inference(scs_inference,[],[134,212])).
% 23.96/24.05 cnf(927,plain,
% 23.96/24.05 (P9(a19,a10)+~P13(a10,x9271,a9)),
% 23.96/24.05 inference(scs_inference,[],[528,133])).
% 23.96/24.05 cnf(950,plain,
% 23.96/24.05 (E(a9,f20(f27(a10)))+P9(a19,a10)),
% 23.96/24.05 inference(scs_inference,[],[309,91,927,135])).
% 23.96/24.05 cnf(1145,plain,
% 23.96/24.05 (P9(a19,a10)+~E(f20(f27(a10)),a9)),
% 23.96/24.05 inference(scs_inference,[],[311,133])).
% 23.96/24.05 cnf(1169,plain,
% 23.96/24.05 (~E(a9,f20(f27(a10)))+P9(a19,a10)),
% 23.96/24.05 inference(scs_inference,[],[1145,2])).
% 23.96/24.05 cnf(1192,plain,
% 23.96/24.05 (P8(a19,f1(a10))+~E(a9,f20(f27(a10)))),
% 23.96/24.05 inference(scs_inference,[],[1169,105])).
% 23.96/24.05 cnf(1334,plain,
% 23.96/24.05 (P9(a19,a10)+P8(a19,f1(a10))),
% 23.96/24.05 inference(scs_inference,[],[1192,950])).
% 23.96/24.05 cnf(1358,plain,
% 23.96/24.05 (P8(a19,f1(a10))),
% 23.96/24.05 inference(scs_inference,[],[1334,105])).
% 23.96/24.05 cnf(1359,plain,
% 23.96/24.05 (P9(a19,a10)),
% 23.96/24.05 inference(scs_inference,[],[1358,110])).
% 23.96/24.05 cnf(4215,plain,
% 23.96/24.05 (~E(a9,a19)),
% 23.96/24.05 inference(scs_inference,[],[95,2])).
% 23.96/24.05 cnf(4574,plain,
% 23.96/24.05 (~P11(a9,a10)+~P13(a10,a19,a9)),
% 23.96/24.05 inference(scs_inference,[],[4215,1359,136,552])).
% 23.96/24.05 cnf(4652,plain,
% 23.96/24.05 (~E(f11(a10),a9)+~P13(a10,a19,a9)),
% 23.96/24.05 inference(scs_inference,[],[4574,194])).
% 23.96/24.05 cnf(4732,plain,
% 23.96/24.05 (~E(f11(a10),a9)),
% 23.96/24.05 inference(scs_inference,[],[4215,1359,91,4652,135])).
% 23.96/24.05 cnf(4753,plain,
% 23.96/24.05 (P13(a10,f11(a10),a9)+~P9(a9,a10)),
% 23.96/24.05 inference(scs_inference,[],[4732,94,136])).
% 23.96/24.05 cnf(4887,plain,
% 23.96/24.05 (P13(a10,f11(a10),a9)),
% 23.96/24.05 inference(scs_inference,[],[91,4753,104])).
% 23.96/24.05 cnf(4891,plain,
% 23.96/24.05 (P9(a9,a10)),
% 23.96/24.05 inference(scs_inference,[],[4887,133])).
% 23.96/24.05 cnf(4923,plain,
% 23.96/24.05 (~P13(a10,a19,a9)),
% 23.96/24.05 inference(scs_inference,[],[4891,212])).
% 23.96/24.05 cnf(4953,plain,
% 23.96/24.05 ($false),
% 23.96/24.05 inference(scs_inference,[],[91,4215,1359,4923,135]),
% 23.96/24.05 ['proof']).
% 23.96/24.05 % SZS output end Proof
% 23.96/24.05 % Total time :23.350000s
%------------------------------------------------------------------------------