%------------------------------------------------------------------------------
% 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 : n022.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 : Unsatisfiable 30.63s 31.13s
% Output : CNFRefutation 30.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO125-1 : TPTP v8.2.0. Released v2.4.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.33 % Computer : n022.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 21 06:50:53 EDT 2024
% 0.17/0.33 % CPUTime :
% 0.49/0.58 start to proof:theBenchmark
% 30.63/31.12 %-------------------------------------------
% 30.63/31.12 % File :CSE---1.7
% 30.63/31.12 % Problem :theBenchmark
% 30.63/31.12 % Transform :cnf
% 30.63/31.12 % Format :tptp:raw
% 30.63/31.12 % Command :java -jar mcs_scs.jar %d %s
% 30.63/31.12
% 30.63/31.12 % Result :Theorem 30.080000s
% 30.63/31.12 % Output :CNFRefutation 30.080000s
% 30.63/31.12 %-------------------------------------------
% 30.63/31.13 %--------------------------------------------------------------------------
% 30.63/31.13 % File : GEO125-1 : TPTP v8.2.0. Released v2.4.0.
% 30.63/31.13 % Domain : Geometry (Oriented curves)
% 30.63/31.13 % Problem : Every oriented curve has at most one finishing point
% 30.63/31.13 % Version : [EHK99] axioms.
% 30.63/31.13 % English :
% 30.63/31.13
% 30.63/31.13 % Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv
% 30.63/31.13 % : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto
% 30.63/31.13 % Source : [TPTP]
% 30.63/31.13 % Names :
% 30.63/31.13
% 30.63/31.13 % Status : Unsatisfiable
% 30.63/31.13 % Rating : 0.20 v8.2.0, 0.19 v8.1.0, 0.11 v7.5.0, 0.16 v7.4.0, 0.12 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.07 v6.4.0, 0.00 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.21 v6.0.0, 0.10 v5.5.0, 0.25 v5.4.0, 0.30 v5.3.0, 0.33 v5.2.0, 0.31 v5.1.0, 0.35 v5.0.0, 0.21 v4.1.0, 0.15 v4.0.1, 0.27 v4.0.0, 0.09 v3.7.0, 0.00 v3.3.0, 0.07 v3.2.0, 0.15 v3.1.0, 0.09 v2.7.0, 0.17 v2.6.0, 0.00 v2.4.0
% 30.63/31.13 % Syntax : Number of clauses : 99 ( 6 unt; 42 nHn; 89 RR)
% 30.63/31.13 % Number of literals : 302 ( 41 equ; 153 neg)
% 30.63/31.13 % Maximal clause size : 12 ( 3 avg)
% 30.63/31.13 % Maximal term depth : 3 ( 1 avg)
% 30.63/31.13 % Number of predicates : 14 ( 13 usr; 0 prp; 1-4 aty)
% 30.63/31.13 % Number of functors : 29 ( 29 usr; 3 con; 0-5 aty)
% 30.63/31.13 % Number of variables : 276 ( 17 sgn)
% 30.63/31.13 % SPC : CNF_UNS_RFO_SEQ_NHN
% 30.63/31.13
% 30.63/31.13 % Comments : Created by tptp2X -f tptp -t clausify:otter GEO125+1.p
% 30.63/31.13 %--------------------------------------------------------------------------
% 30.63/31.13 %----Include simple curve axioms
% 30.63/31.13 include('Axioms/GEO004-0.ax').
% 30.63/31.13 %----Include axioms of betweenness for simple curves
% 30.63/31.13 include('Axioms/GEO004-1.ax').
% 30.63/31.13 %----Include oriented curve axioms
% 30.63/31.13 include('Axioms/GEO004-2.ax').
% 30.63/31.13 %--------------------------------------------------------------------------
% 30.63/31.13 cnf(corollary_4_10_2_133,negated_conjecture,
% 30.63/31.13 finish_point(sk26,sk25) ).
% 30.63/31.13
% 30.63/31.13 cnf(corollary_4_10_2_134,negated_conjecture,
% 30.63/31.13 finish_point(sk27,sk25) ).
% 30.63/31.13
% 30.63/31.13 cnf(corollary_4_10_2_135,negated_conjecture,
% 30.63/31.13 sk26 != sk27 ).
% 30.63/31.13
% 30.63/31.13 %--------------------------------------------------------------------------
% 30.63/31.13 %-------------------------------------------
% 30.63/31.13 % Proof found
% 30.63/31.13 % SZS status Theorem for theBenchmark
% 30.63/31.13 % SZS output start Proof
% 30.63/31.13 %ClaNum:177(EqnAxiom:89)
% 30.63/31.13 %VarNum:701(SingletonVarNum:245)
% 30.63/31.13 %MaxLitNum:12
% 30.63/31.13 %MaxfuncDepth:2
% 30.63/31.13 %SharedTerms:6
% 30.63/31.13 %goalClause: 91 92 95
% 30.63/31.13 %singleGoalClaCount:3
% 30.63/31.13 [91]P2(a19,a20)
% 30.63/31.13 [92]P2(a27,a20)
% 30.63/31.13 [95]~E(a27,a19)
% 30.63/31.14 [90]P1(f1(x901))
% 30.63/31.14 [93]P7(f2(x931),x931)
% 30.63/31.14 [94]P11(f21(x941),x941)
% 30.63/31.14 [96]P3(x961)+P6(f3(x961),x961)
% 30.63/31.14 [98]~P1(x981)+P6(f13(x981),x981)
% 30.63/31.14 [97]P1(x971)+~P6(x972,x971)
% 30.63/31.14 [100]~P3(x1001)+~P6(x1002,x1001)
% 30.63/31.14 [101]~P6(x1011,x1012)+P8(x1011,x1012)
% 30.63/31.14 [102]~P7(x1021,x1022)+P8(x1021,x1022)
% 30.63/31.14 [103]~P11(x1031,x1032)+P9(x1031,x1032)
% 30.63/31.14 [104]~P2(x1041,x1042)+P9(x1041,x1042)
% 30.63/31.14 [106]~P7(x1061,x1062)+~P6(x1061,x1062)
% 30.63/31.14 [105]~P9(x1051,x1052)+P8(x1051,f1(x1052))
% 30.63/31.14 [109]~P6(x1091,x1092)+~E(f4(x1091,x1092),x1091)
% 30.63/31.14 [110]P9(x1101,x1102)+~P8(x1101,f1(x1102))
% 30.63/31.14 [112]P12(x1121,x1122)+P8(f5(x1121,x1122),x1121)
% 30.63/31.14 [118]~P6(x1181,x1182)+P6(f4(x1181,x1182),x1182)
% 30.63/31.14 [127]P12(x1271,x1272)+~P8(f5(x1271,x1272),x1272)
% 30.63/31.14 [139]~P7(x1391,x1392)+P10(x1391,f15(x1391,x1392),f6(x1391,x1392))
% 30.63/31.14 [130]~P7(x1301,x1302)+E(f29(f15(x1301,x1302),f6(x1301,x1302)),x1302)
% 30.63/31.14 [131]P8(x1311,x1312)+~P10(x1311,x1313,x1312)
% 30.63/31.14 [132]P8(x1321,x1322)+~P10(x1321,x1322,x1323)
% 30.63/31.14 [133]P9(x1331,x1332)+~P13(x1332,x1333,x1331)
% 30.63/31.14 [134]P9(x1341,x1342)+~P13(x1342,x1341,x1343)
% 30.63/31.14 [137]~P10(x1373,x1372,x1371)+E(f9(x1371,x1372),f29(x1372,x1371))
% 30.63/31.14 [159]~E(x1591,x1592)+~P4(x1593,x1591,x1594,x1592)
% 30.63/31.14 [169]~P4(x1694,x1693,x1692,x1691)+P6(x1691,f16(x1691,x1692,x1693,x1694))
% 30.63/31.14 [170]~P4(x1704,x1701,x1703,x1702)+P6(x1701,f16(x1702,x1703,x1701,x1704))
% 30.63/31.14 [171]~P4(x1714,x1713,x1711,x1712)+P7(x1711,f16(x1712,x1711,x1713,x1714))
% 30.63/31.14 [172]~P4(x1724,x1723,x1722,x1721)+P12(f16(x1721,x1722,x1723,x1724),x1724)
% 30.63/31.14 [174]~P5(x1741,x1744,x1743,x1742)+P4(f22(x1741,x1742,x1743,x1744),x1744,x1743,x1742)
% 30.63/31.14 [99]P1(x991)+~P12(x991,x992)+E(x991,x992)
% 30.63/31.14 [111]P7(x1111,x1112)+~P8(x1111,x1112)+P6(x1111,x1112)
% 30.63/31.14 [116]~P9(x1161,x1162)+P11(x1161,x1162)+~E(f14(x1162,x1161),x1161)
% 30.63/31.14 [117]~P9(x1171,x1172)+P2(x1171,x1172)+~E(f17(x1172,x1171),x1171)
% 30.63/31.14 [121]~P8(x1211,x1212)+P6(x1211,x1212)+P8(x1211,f7(x1212,x1211))
% 30.63/31.14 [122]~P8(x1221,x1222)+P6(x1221,x1222)+P8(x1221,f11(x1222,x1221))
% 30.63/31.14 [123]~P8(x1231,x1232)+P6(x1231,x1232)+P12(f7(x1232,x1231),x1232)
% 30.63/31.14 [124]~P8(x1241,x1242)+P6(x1241,x1242)+P12(f11(x1242,x1241),x1242)
% 30.63/31.14 [125]~P9(x1251,x1252)+P11(x1251,x1252)+P9(f14(x1252,x1251),x1252)
% 30.63/31.14 [126]~P9(x1261,x1262)+P2(x1261,x1262)+P9(f17(x1262,x1261),x1262)
% 30.63/31.14 [128]E(x1281,x1282)+P8(f8(x1281,x1282),x1282)+P8(f8(x1281,x1282),x1281)
% 30.63/31.14 [129]P8(f18(x1292,x1291),x1291)+P9(f18(x1292,x1291),x1292)+E(x1291,f28(x1292))
% 30.63/31.14 [138]E(x1381,x1382)+~P8(f8(x1381,x1382),x1382)+~P8(f8(x1381,x1382),x1381)
% 30.63/31.14 [140]~P8(f18(x1402,x1401),x1401)+~P9(f18(x1402,x1401),x1402)+E(x1401,f28(x1402))
% 30.63/31.14 [141]~P8(x1411,x1412)+P6(x1411,x1412)+~P12(f7(x1412,x1411),f11(x1412,x1411))
% 30.63/31.14 [142]~P8(x1421,x1422)+P6(x1421,x1422)+~P12(f11(x1422,x1421),f7(x1422,x1421))
% 30.63/31.14 [146]~P9(x1461,x1462)+P11(x1461,x1462)+~P13(x1462,x1461,f14(x1462,x1461))
% 30.63/31.14 [147]~P9(x1471,x1472)+P2(x1471,x1472)+~P13(x1472,f17(x1472,x1471),x1471)
% 30.63/31.14 [150]E(x1501,x1502)+P13(x1502,f25(x1502,x1501),f26(x1502,x1501))+P13(x1501,f25(x1502,x1501),f26(x1502,x1501))
% 30.63/31.14 [156]E(x1561,x1562)+~P13(x1562,f25(x1561,x1562),f26(x1561,x1562))+~P13(x1561,f25(x1561,x1562),f26(x1561,x1562))
% 30.63/31.14 [113]~P8(x1131,x1133)+P8(x1131,x1132)+~P12(x1133,x1132)
% 30.63/31.14 [107]~P9(x1071,x1073)+P8(x1071,x1072)+~E(x1072,f28(x1073))
% 30.63/31.14 [108]~P8(x1081,x1083)+P9(x1081,x1082)+~E(x1083,f28(x1082))
% 30.63/31.14 [160]~P8(f10(x1603,x1602,x1601),x1601)+~P8(f10(x1603,x1602,x1601),x1602)+E(x1601,f29(x1602,x1603))
% 30.63/31.14 [161]~P8(f10(x1613,x1612,x1611),x1611)+~P8(f10(x1613,x1612,x1611),x1613)+E(x1611,f29(x1612,x1613))
% 30.63/31.14 [162]~P13(x1621,x1623,x1622)+~P13(x1621,x1624,x1623)+P5(x1621,x1622,x1623,x1624)
% 30.63/31.14 [163]~P13(x1631,x1633,x1634)+~P13(x1631,x1632,x1633)+P5(x1631,x1632,x1633,x1634)
% 30.63/31.14 [165]P13(x1651,x1653,x1652)+P13(x1651,x1652,x1653)+~P5(x1651,x1654,x1653,x1652)
% 30.63/31.14 [166]~P5(x1661,x1664,x1663,x1662)+P13(x1661,x1662,x1663)+P13(x1661,x1664,x1663)
% 30.63/31.14 [167]~P5(x1671,x1674,x1672,x1673)+P13(x1671,x1672,x1673)+P13(x1671,x1672,x1674)
% 30.63/31.14 [168]P13(x1681,x1683,x1682)+P13(x1681,x1682,x1683)+~P5(x1681,x1683,x1682,x1684)
% 30.63/31.14 [114]~P8(x1141,x1144)+P8(x1141,x1142)+~E(x1142,f29(x1143,x1144))
% 30.63/31.14 [115]~P8(x1151,x1153)+P8(x1151,x1152)+~E(x1152,f29(x1153,x1154))
% 30.63/31.14 [173]~P9(x1731,x1732)+~P5(x1732,x1735,x1734,x1733)+P8(x1731,f22(x1732,x1733,x1734,x1735))
% 30.63/31.14 [175]P9(x1751,x1752)+~P5(x1752,x1753,x1754,x1755)+~P8(x1751,f22(x1752,x1755,x1754,x1753))
% 30.63/31.14 [135]~P9(x1352,x1353)+~P2(x1351,x1353)+E(x1351,x1352)+P13(x1353,x1352,x1351)
% 30.63/31.14 [136]~P11(x1361,x1363)+~P9(x1362,x1363)+E(x1361,x1362)+P13(x1363,x1361,x1362)
% 30.63/31.14 [152]~P8(x1521,x1523)+~P8(x1521,x1522)+P10(x1521,x1522,x1523)+P8(f12(x1523,x1522,x1521),x1523)
% 30.63/31.14 [153]~P8(x1531,x1533)+~P8(x1531,x1532)+P10(x1531,x1532,x1533)+P8(f12(x1533,x1532,x1531),x1532)
% 30.63/31.14 [158]P8(f10(x1583,x1582,x1581),x1581)+P8(f10(x1583,x1582,x1581),x1582)+P8(f10(x1583,x1582,x1581),x1583)+E(x1581,f29(x1582,x1583))
% 30.63/31.14 [144]~P8(x1441,x1442)+P6(x1441,x1442)+~P10(x1444,x1443,x1442)+~P8(x1441,x1443)
% 30.63/31.14 [145]~P8(x1451,x1452)+P6(x1451,x1452)+~P10(x1454,x1452,x1453)+~P8(x1451,x1453)
% 30.63/31.14 [120]~P8(x1201,x1204)+P8(x1201,x1202)+P8(x1201,x1203)+~E(x1204,f29(x1203,x1202))
% 30.63/31.14 [176]~P4(x1765,x1762,x1763,x1764)+P5(x1761,x1762,x1763,x1764)+P8(f23(x1765,x1761,x1764,x1763,x1762),x1765)+P9(f23(x1765,x1761,x1764,x1763,x1762),x1761)
% 30.63/31.14 [177]P5(x1771,x1772,x1773,x1774)+~P4(x1775,x1772,x1773,x1774)+~P8(f23(x1775,x1771,x1774,x1773,x1772),x1775)+~P9(f23(x1775,x1771,x1774,x1773,x1772),x1771)
% 30.63/31.14 [151]~P1(x1513)+~P8(x1512,x1513)+~P8(x1511,x1513)+E(x1511,x1512)+P13(f24(x1513,x1512,x1511),x1511,x1512)
% 30.63/31.14 [164]~P8(x1641,x1643)+~P8(x1641,x1642)+P10(x1641,x1642,x1643)+~P6(f12(x1643,x1642,x1641),x1643)+~P6(f12(x1643,x1642,x1641),x1642)
% 30.63/31.14 [148]~P3(x1484)+~P6(x1481,x1482)+P10(x1481,x1482,x1483)+~P10(x1485,x1482,x1483)+~E(x1484,f29(x1482,x1483))
% 30.63/31.14 [119]E(x1193,x1191)+~P6(x1191,x1194)+~P6(x1193,x1194)+E(x1191,x1192)+E(x1193,x1192)+~P6(x1192,x1194)
% 30.63/31.14 [149]~P1(x1494)+~P8(x1493,x1494)+~P8(x1492,x1494)+~P8(x1491,x1494)+E(x1491,x1492)+P9(x1493,f24(x1494,x1492,x1491))
% 30.63/31.14 [155]~P1(x1554)+~P8(x1552,x1554)+~P8(x1551,x1554)+E(x1551,x1552)+P8(x1553,x1554)+~P9(x1553,f24(x1554,x1552,x1551))
% 30.63/31.14 [157]~P6(x1572,x1575)+~P6(x1571,x1575)+~P7(x1574,x1575)+E(x1571,x1572)+P4(x1573,x1571,x1574,x1572)+~P12(x1575,x1573)
% 30.63/31.14 [143]P12(x1432,x1431)+~P12(x1432,x1433)+~P8(x1434,x1432)+~P6(x1434,x1433)+P12(x1431,x1432)+~P12(x1431,x1433)+~P8(x1434,x1431)
% 30.63/31.14 [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)
% 30.63/31.14 %EqnAxiom
% 30.63/31.14 [1]E(x11,x11)
% 30.63/31.14 [2]E(x22,x21)+~E(x21,x22)
% 30.63/31.14 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 30.63/31.14 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 30.63/31.14 [5]~E(x51,x52)+E(f2(x51),f2(x52))
% 30.63/31.14 [6]~E(x61,x62)+E(f21(x61),f21(x62))
% 30.63/31.14 [7]~E(x71,x72)+E(f3(x71),f3(x72))
% 30.63/31.14 [8]~E(x81,x82)+E(f13(x81),f13(x82))
% 30.63/31.14 [9]~E(x91,x92)+E(f23(x91,x93,x94,x95,x96),f23(x92,x93,x94,x95,x96))
% 30.63/31.14 [10]~E(x101,x102)+E(f23(x103,x101,x104,x105,x106),f23(x103,x102,x104,x105,x106))
% 30.63/31.14 [11]~E(x111,x112)+E(f23(x113,x114,x111,x115,x116),f23(x113,x114,x112,x115,x116))
% 30.63/31.14 [12]~E(x121,x122)+E(f23(x123,x124,x125,x121,x126),f23(x123,x124,x125,x122,x126))
% 30.63/31.14 [13]~E(x131,x132)+E(f23(x133,x134,x135,x136,x131),f23(x133,x134,x135,x136,x132))
% 30.63/31.14 [14]~E(x141,x142)+E(f28(x141),f28(x142))
% 30.63/31.14 [15]~E(x151,x152)+E(f22(x151,x153,x154,x155),f22(x152,x153,x154,x155))
% 30.63/31.14 [16]~E(x161,x162)+E(f22(x163,x161,x164,x165),f22(x163,x162,x164,x165))
% 30.63/31.14 [17]~E(x171,x172)+E(f22(x173,x174,x171,x175),f22(x173,x174,x172,x175))
% 30.63/31.14 [18]~E(x181,x182)+E(f22(x183,x184,x185,x181),f22(x183,x184,x185,x182))
% 30.63/31.14 [19]~E(x191,x192)+E(f4(x191,x193),f4(x192,x193))
% 30.63/31.14 [20]~E(x201,x202)+E(f4(x203,x201),f4(x203,x202))
% 30.63/31.14 [21]~E(x211,x212)+E(f16(x211,x213,x214,x215),f16(x212,x213,x214,x215))
% 30.63/31.14 [22]~E(x221,x222)+E(f16(x223,x221,x224,x225),f16(x223,x222,x224,x225))
% 30.63/31.14 [23]~E(x231,x232)+E(f16(x233,x234,x231,x235),f16(x233,x234,x232,x235))
% 30.63/31.14 [24]~E(x241,x242)+E(f16(x243,x244,x245,x241),f16(x243,x244,x245,x242))
% 30.63/31.14 [25]~E(x251,x252)+E(f5(x251,x253),f5(x252,x253))
% 30.63/31.14 [26]~E(x261,x262)+E(f5(x263,x261),f5(x263,x262))
% 30.63/31.14 [27]~E(x271,x272)+E(f29(x271,x273),f29(x272,x273))
% 30.63/31.14 [28]~E(x281,x282)+E(f29(x283,x281),f29(x283,x282))
% 30.63/31.14 [29]~E(x291,x292)+E(f10(x291,x293,x294),f10(x292,x293,x294))
% 30.63/31.14 [30]~E(x301,x302)+E(f10(x303,x301,x304),f10(x303,x302,x304))
% 30.63/31.14 [31]~E(x311,x312)+E(f10(x313,x314,x311),f10(x313,x314,x312))
% 30.63/31.14 [32]~E(x321,x322)+E(f14(x321,x323),f14(x322,x323))
% 30.63/31.14 [33]~E(x331,x332)+E(f14(x333,x331),f14(x333,x332))
% 30.63/31.14 [34]~E(x341,x342)+E(f17(x341,x343),f17(x342,x343))
% 30.63/31.14 [35]~E(x351,x352)+E(f17(x353,x351),f17(x353,x352))
% 30.63/31.14 [36]~E(x361,x362)+E(f12(x361,x363,x364),f12(x362,x363,x364))
% 30.63/31.14 [37]~E(x371,x372)+E(f12(x373,x371,x374),f12(x373,x372,x374))
% 30.63/31.14 [38]~E(x381,x382)+E(f12(x383,x384,x381),f12(x383,x384,x382))
% 30.63/31.14 [39]~E(x391,x392)+E(f26(x391,x393),f26(x392,x393))
% 30.63/31.14 [40]~E(x401,x402)+E(f26(x403,x401),f26(x403,x402))
% 30.63/31.14 [41]~E(x411,x412)+E(f7(x411,x413),f7(x412,x413))
% 30.63/31.14 [42]~E(x421,x422)+E(f7(x423,x421),f7(x423,x422))
% 30.63/31.14 [43]~E(x431,x432)+E(f11(x431,x433),f11(x432,x433))
% 30.63/31.14 [44]~E(x441,x442)+E(f11(x443,x441),f11(x443,x442))
% 30.63/31.14 [45]~E(x451,x452)+E(f18(x451,x453),f18(x452,x453))
% 30.63/31.14 [46]~E(x461,x462)+E(f18(x463,x461),f18(x463,x462))
% 30.63/31.14 [47]~E(x471,x472)+E(f24(x471,x473,x474),f24(x472,x473,x474))
% 30.63/31.14 [48]~E(x481,x482)+E(f24(x483,x481,x484),f24(x483,x482,x484))
% 30.63/31.14 [49]~E(x491,x492)+E(f24(x493,x494,x491),f24(x493,x494,x492))
% 30.63/31.14 [50]~E(x501,x502)+E(f8(x501,x503),f8(x502,x503))
% 30.63/31.14 [51]~E(x511,x512)+E(f8(x513,x511),f8(x513,x512))
% 30.63/31.14 [52]~E(x521,x522)+E(f25(x521,x523),f25(x522,x523))
% 30.63/31.14 [53]~E(x531,x532)+E(f25(x533,x531),f25(x533,x532))
% 30.63/31.14 [54]~E(x541,x542)+E(f6(x541,x543),f6(x542,x543))
% 30.63/31.14 [55]~E(x551,x552)+E(f6(x553,x551),f6(x553,x552))
% 30.63/31.14 [56]~E(x561,x562)+E(f15(x561,x563),f15(x562,x563))
% 30.63/31.14 [57]~E(x571,x572)+E(f15(x573,x571),f15(x573,x572))
% 30.63/31.14 [58]~E(x581,x582)+E(f9(x581,x583),f9(x582,x583))
% 30.63/31.14 [59]~E(x591,x592)+E(f9(x593,x591),f9(x593,x592))
% 30.63/31.14 [60]~P1(x601)+P1(x602)+~E(x601,x602)
% 30.63/31.14 [61]P2(x612,x613)+~E(x611,x612)+~P2(x611,x613)
% 30.63/31.14 [62]P2(x623,x622)+~E(x621,x622)+~P2(x623,x621)
% 30.63/31.14 [63]P8(x632,x633)+~E(x631,x632)+~P8(x631,x633)
% 30.63/31.14 [64]P8(x643,x642)+~E(x641,x642)+~P8(x643,x641)
% 30.63/31.14 [65]P7(x652,x653)+~E(x651,x652)+~P7(x651,x653)
% 30.63/31.14 [66]P7(x663,x662)+~E(x661,x662)+~P7(x663,x661)
% 30.63/31.14 [67]P11(x672,x673)+~E(x671,x672)+~P11(x671,x673)
% 30.63/31.14 [68]P11(x683,x682)+~E(x681,x682)+~P11(x683,x681)
% 30.63/31.14 [69]~P3(x691)+P3(x692)+~E(x691,x692)
% 30.63/31.14 [70]P6(x702,x703)+~E(x701,x702)+~P6(x701,x703)
% 30.63/31.14 [71]P6(x713,x712)+~E(x711,x712)+~P6(x713,x711)
% 30.63/31.14 [72]P9(x722,x723)+~E(x721,x722)+~P9(x721,x723)
% 30.63/31.14 [73]P9(x733,x732)+~E(x731,x732)+~P9(x733,x731)
% 30.63/31.14 [74]P13(x742,x743,x744)+~E(x741,x742)+~P13(x741,x743,x744)
% 30.63/31.14 [75]P13(x753,x752,x754)+~E(x751,x752)+~P13(x753,x751,x754)
% 30.63/31.14 [76]P13(x763,x764,x762)+~E(x761,x762)+~P13(x763,x764,x761)
% 30.63/31.14 [77]P5(x772,x773,x774,x775)+~E(x771,x772)+~P5(x771,x773,x774,x775)
% 30.63/31.14 [78]P5(x783,x782,x784,x785)+~E(x781,x782)+~P5(x783,x781,x784,x785)
% 30.63/31.14 [79]P5(x793,x794,x792,x795)+~E(x791,x792)+~P5(x793,x794,x791,x795)
% 30.63/31.14 [80]P5(x803,x804,x805,x802)+~E(x801,x802)+~P5(x803,x804,x805,x801)
% 30.63/31.14 [81]P4(x812,x813,x814,x815)+~E(x811,x812)+~P4(x811,x813,x814,x815)
% 30.63/31.14 [82]P4(x823,x822,x824,x825)+~E(x821,x822)+~P4(x823,x821,x824,x825)
% 30.63/31.14 [83]P4(x833,x834,x832,x835)+~E(x831,x832)+~P4(x833,x834,x831,x835)
% 30.63/31.14 [84]P4(x843,x844,x845,x842)+~E(x841,x842)+~P4(x843,x844,x845,x841)
% 30.63/31.14 [85]P10(x852,x853,x854)+~E(x851,x852)+~P10(x851,x853,x854)
% 30.63/31.14 [86]P10(x863,x862,x864)+~E(x861,x862)+~P10(x863,x861,x864)
% 30.63/31.14 [87]P10(x873,x874,x872)+~E(x871,x872)+~P10(x873,x874,x871)
% 30.63/31.14 [88]P12(x882,x883)+~E(x881,x882)+~P12(x881,x883)
% 30.63/31.14 [89]P12(x893,x892)+~E(x891,x892)+~P12(x893,x891)
% 30.63/31.14
% 30.63/31.14 %-------------------------------------------
% 30.63/31.14 cnf(178,plain,
% 30.63/31.14 (~P9(x1781,x1782)+P8(x1781,f28(x1782))),
% 30.63/31.14 inference(equality_inference,[],[107])).
% 30.63/31.14 cnf(179,plain,
% 30.63/31.14 (~P8(x1791,f28(x1792))+P9(x1791,x1792)),
% 30.63/31.14 inference(equality_inference,[],[108])).
% 30.63/31.14 cnf(180,plain,
% 30.63/31.14 (~P8(x1801,x1802)+P8(x1801,f29(x1803,x1802))),
% 30.63/31.14 inference(equality_inference,[],[114])).
% 30.63/31.14 cnf(181,plain,
% 30.63/31.14 (~P8(x1811,x1812)+P8(x1811,f29(x1812,x1813))),
% 30.63/31.14 inference(equality_inference,[],[115])).
% 30.63/31.14 cnf(184,plain,
% 30.63/31.14 (~P4(x1842,x1841,x1843,x1841)),
% 30.63/31.14 inference(equality_inference,[],[159])).
% 30.63/31.14 cnf(185,plain,
% 30.63/31.14 (~P5(x1851,x1852,x1853,x1852)),
% 30.63/31.14 inference(scs_inference,[],[184,174])).
% 30.63/31.14 cnf(192,plain,
% 30.63/31.14 (P7(x1921,x1922)+~E(f2(x1922),x1921)),
% 30.63/31.14 inference(scs_inference,[],[91,95,184,93,174,99,61,62,65])).
% 30.63/31.14 cnf(194,plain,
% 30.63/31.14 (P11(x1941,x1942)+~E(f21(x1942),x1941)),
% 30.63/31.14 inference(scs_inference,[],[91,95,184,93,94,174,99,61,62,65,66,67])).
% 30.63/31.14 cnf(201,plain,
% 30.63/31.14 (~P13(x2011,x2012,x2013)+~P13(x2011,x2013,x2012)),
% 30.63/31.14 inference(scs_inference,[],[185,94,68,162])).
% 30.63/31.14 cnf(209,plain,
% 30.63/31.14 (P13(a20,a19,a27)+~P9(a19,a20)),
% 30.63/31.14 inference(scs_inference,[],[95,92,135])).
% 30.63/31.14 cnf(211,plain,
% 30.63/31.14 (~P13(a20,a27,a19)+~P9(a19,a20)),
% 30.63/31.14 inference(scs_inference,[],[95,92,135,201])).
% 30.63/31.14 cnf(228,plain,
% 30.63/31.14 (~P6(x2281,x2282)+P6(f13(x2282),x2282)),
% 30.63/31.14 inference(scs_inference,[],[97,98])).
% 30.63/31.14 cnf(308,plain,
% 30.63/31.14 (P9(f2(f28(x3081)),x3081)),
% 30.63/31.14 inference(scs_inference,[],[93,102,179])).
% 30.63/31.14 cnf(310,plain,
% 30.63/31.14 (P13(a20,a19,a27)+~E(f2(f28(a20)),a19)),
% 30.63/31.14 inference(scs_inference,[],[92,95,308,72,135])).
% 30.63/31.14 cnf(348,plain,
% 30.63/31.14 (P8(f21(x3481),f1(x3481))),
% 30.63/31.14 inference(scs_inference,[],[94,103,105])).
% 30.63/31.14 cnf(349,plain,
% 30.63/31.14 (P9(f21(x3491),x3491)),
% 30.63/31.14 inference(scs_inference,[],[348,110])).
% 30.63/31.14 cnf(556,plain,
% 30.63/31.14 (~P13(a20,x5561,a19)+P13(a20,a19,a27)),
% 30.63/31.15 inference(scs_inference,[],[133,209])).
% 30.63/31.15 cnf(579,plain,
% 30.63/31.15 (~P13(a20,a19,x5791)+~P13(a20,a27,a19)),
% 30.63/31.15 inference(scs_inference,[],[134,211])).
% 30.63/31.15 cnf(603,plain,
% 30.63/31.15 (~P6(x6031,x6032)+~P7(f13(x6032),x6032)),
% 30.63/31.15 inference(scs_inference,[],[228,106])).
% 30.63/31.15 cnf(697,plain,
% 30.63/31.15 (~E(f2(x6971),f13(x6971))+~P6(x6972,x6971)),
% 30.63/31.15 inference(scs_inference,[],[603,192])).
% 30.63/31.15 cnf(861,plain,
% 30.63/31.15 (P6(f4(f13(f1(x8611)),f1(x8611)),f1(x8611))),
% 30.63/31.15 inference(scs_inference,[],[90,118,98])).
% 30.63/31.15 cnf(997,plain,
% 30.63/31.15 (P9(a27,a20)+~P13(a20,x9971,a19)),
% 30.63/31.15 inference(scs_inference,[],[556,133])).
% 30.63/31.15 cnf(1028,plain,
% 30.63/31.15 (E(a19,f2(f28(a20)))+P9(a27,a20)),
% 30.63/31.15 inference(scs_inference,[],[308,91,997,135])).
% 30.63/31.15 cnf(1090,plain,
% 30.63/31.15 (~E(f13(f1(x10901)),f2(f1(x10901)))),
% 30.63/31.15 inference(scs_inference,[],[861,697,2])).
% 30.63/31.15 cnf(1093,plain,
% 30.63/31.15 (P13(x10931,a27,a19)+~P11(a27,x10931)+~P9(a19,x10931)),
% 30.63/31.15 inference(scs_inference,[],[95,1090,136])).
% 30.63/31.15 cnf(1140,plain,
% 30.63/31.15 (P9(a27,a20)+~E(f2(f28(a20)),a19)),
% 30.63/31.15 inference(scs_inference,[],[310,133])).
% 30.63/31.15 cnf(1156,plain,
% 30.63/31.15 (~E(a19,f2(f28(a20)))+P9(a27,a20)),
% 30.70/31.15 inference(scs_inference,[],[1140,2])).
% 30.70/31.15 cnf(1172,plain,
% 30.70/31.15 (P8(a27,f1(a20))+~E(a19,f2(f28(a20)))),
% 30.70/31.15 inference(scs_inference,[],[1156,105])).
% 30.70/31.15 cnf(1269,plain,
% 30.70/31.15 (P9(a27,a20)+P8(a27,f1(a20))),
% 30.70/31.15 inference(scs_inference,[],[1172,1028])).
% 30.70/31.15 cnf(1285,plain,
% 30.70/31.15 (P8(a27,f1(a20))),
% 30.70/31.15 inference(scs_inference,[],[1269,105])).
% 30.70/31.15 cnf(1288,plain,
% 30.70/31.15 (P9(a27,a20)),
% 30.70/31.15 inference(scs_inference,[],[1285,181,110])).
% 30.70/31.15 cnf(4287,plain,
% 30.70/31.15 (~E(a19,a27)),
% 30.70/31.15 inference(scs_inference,[],[95,2])).
% 30.70/31.15 cnf(4759,plain,
% 30.70/31.15 (~P11(a19,a20)+~P13(a20,a27,a19)),
% 30.70/31.15 inference(scs_inference,[],[4287,1288,136,579])).
% 30.70/31.15 cnf(4859,plain,
% 30.70/31.15 (~E(f21(a20),a19)+~P13(a20,a27,a19)),
% 30.70/31.15 inference(scs_inference,[],[4759,194])).
% 30.70/31.15 cnf(5045,plain,
% 30.70/31.15 (~E(f21(a20),a19)),
% 30.70/31.15 inference(scs_inference,[],[4287,1288,91,4859,135])).
% 30.70/31.15 cnf(5046,plain,
% 30.70/31.15 (~E(a19,f21(a20))),
% 30.70/31.15 inference(scs_inference,[],[5045,2])).
% 30.70/31.15 cnf(5062,plain,
% 30.70/31.15 (~P13(a20,f21(a20),a19)+~P11(a19,a20)),
% 30.70/31.15 inference(scs_inference,[],[5046,349,136,201])).
% 30.70/31.15 cnf(5066,plain,
% 30.70/31.15 (P13(a20,f21(a20),a19)+~P9(a19,a20)),
% 30.70/31.15 inference(scs_inference,[],[5045,94,136])).
% 30.70/31.15 cnf(5069,plain,
% 30.70/31.15 (~P11(a19,a20)+~P9(a19,a20)),
% 30.70/31.15 inference(scs_inference,[],[5045,94,136,5062])).
% 30.70/31.15 cnf(5130,plain,
% 30.70/31.15 (~P9(a19,a20)+P9(f14(a20,a19),a20)),
% 30.70/31.15 inference(scs_inference,[],[5069,125])).
% 30.70/31.15 cnf(5316,plain,
% 30.70/31.15 (P13(a20,f21(a20),a19)),
% 30.70/31.15 inference(scs_inference,[],[91,5066,104])).
% 30.70/31.15 cnf(5320,plain,
% 30.70/31.15 (P9(a19,a20)),
% 30.70/31.15 inference(scs_inference,[],[5316,133])).
% 30.70/31.15 cnf(5328,plain,
% 30.70/31.15 (~P2(f21(a20),a20)),
% 30.70/31.15 inference(scs_inference,[],[5316,5045,133,178,201,180,135])).
% 30.70/31.15 cnf(5347,plain,
% 30.70/31.15 (~P13(a20,a27,a19)),
% 30.70/31.15 inference(scs_inference,[],[5320,211])).
% 30.70/31.15 cnf(5354,plain,
% 30.70/31.15 (P9(f14(a20,a19),a20)),
% 30.70/31.15 inference(scs_inference,[],[5320,5130])).
% 30.70/31.15 cnf(5359,plain,
% 30.70/31.15 (P13(a20,f21(a20),a27)),
% 30.70/31.15 inference(scs_inference,[],[92,5328,1288,94,61,2,3,136])).
% 30.70/31.15 cnf(5379,plain,
% 30.70/31.15 ($false),
% 30.70/31.15 inference(scs_inference,[],[91,4287,5359,1288,5320,5354,5347,201,178,180,1093,135]),
% 30.70/31.15 ['proof']).
% 30.70/31.15 % SZS output end Proof
% 30.70/31.15 % Total time :30.080000s
%------------------------------------------------------------------------------