%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO118-1 : 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 : n025.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 06:03:53 EDT 2024
% Result : Unsatisfiable 0.54s 0.67s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO118-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 06:33:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.49/0.56 start to proof:theBenchmark
% 0.54/0.67 %-------------------------------------------
% 0.54/0.67 % File :CSE---1.7
% 0.54/0.67 % Problem :theBenchmark
% 0.54/0.67 % Transform :cnf
% 0.54/0.67 % Format :tptp:raw
% 0.54/0.67 % Command :java -jar mcs_scs.jar %d %s
% 0.54/0.67
% 0.54/0.67 % Result :Theorem 0.000000s
% 0.54/0.67 % Output :CNFRefutation 0.000000s
% 0.54/0.67 %-------------------------------------------
% 0.54/0.67 %--------------------------------------------------------------------------
% 0.54/0.67 % File : GEO118-1 : TPTP v8.2.0. Released v2.4.0.
% 0.54/0.67 % Domain : Geometry (Oriented curves)
% 0.54/0.67 % Problem : Precedence on oriented curves is asymmetric
% 0.54/0.67 % Version : [EHK99] axioms.
% 0.54/0.67 % English :
% 0.54/0.67
% 0.54/0.67 % Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv
% 0.54/0.67 % : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto
% 0.54/0.67 % Source : [TPTP]
% 0.54/0.67 % Names :
% 0.54/0.67
% 0.54/0.67 % Status : Unsatisfiable
% 0.54/0.67 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.00 v5.5.0, 0.10 v5.4.0, 0.15 v5.3.0, 0.22 v5.2.0, 0.19 v5.1.0, 0.18 v5.0.0, 0.07 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, 0.08 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.4.0
% 0.54/0.67 % Syntax : Number of clauses : 98 ( 5 unt; 42 nHn; 88 RR)
% 0.54/0.67 % Number of literals : 301 ( 40 equ; 152 neg)
% 0.54/0.67 % Maximal clause size : 12 ( 3 avg)
% 0.54/0.67 % Maximal term depth : 3 ( 1 avg)
% 0.54/0.67 % Number of predicates : 14 ( 13 usr; 0 prp; 1-4 aty)
% 0.54/0.67 % Number of functors : 29 ( 29 usr; 3 con; 0-5 aty)
% 0.54/0.67 % Number of variables : 276 ( 17 sgn)
% 0.54/0.67 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.54/0.67
% 0.54/0.67 % Comments : Created by tptp2X -f tptp -t clausify:otter GEO118+1.p
% 0.54/0.67 %--------------------------------------------------------------------------
% 0.54/0.67 %----Include simple curve axioms
% 0.54/0.67 include('Axioms/GEO004-0.ax').
% 0.54/0.67 %----Include axioms of betweenness for simple curves
% 0.54/0.67 include('Axioms/GEO004-1.ax').
% 0.54/0.67 %----Include oriented curve axioms
% 0.54/0.67 include('Axioms/GEO004-2.ax').
% 0.54/0.67 %--------------------------------------------------------------------------
% 0.54/0.67 cnf(theorem_4_5_133,negated_conjecture,
% 0.54/0.67 ordered_by(sk25,sk26,sk27) ).
% 0.54/0.67
% 0.54/0.67 cnf(theorem_4_5_134,negated_conjecture,
% 0.54/0.67 ordered_by(sk25,sk27,sk26) ).
% 0.54/0.67
% 0.54/0.67 %--------------------------------------------------------------------------
% 0.54/0.67 %-------------------------------------------
% 0.54/0.67 % Proof found
% 0.54/0.67 % SZS status Theorem for theBenchmark
% 0.54/0.67 % SZS output start Proof
% 0.54/0.68 %ClaNum:176(EqnAxiom:89)
% 0.54/0.68 %VarNum:701(SingletonVarNum:245)
% 0.54/0.68 %MaxLitNum:12
% 0.54/0.68 %MaxfuncDepth:2
% 0.54/0.68 %SharedTerms:5
% 0.54/0.68 %goalClause: 93 94
% 0.54/0.68 %singleGoalClaCount:2
% 0.54/0.68 [93]P12(a22,a26,a27)
% 0.54/0.68 [94]P12(a22,a27,a26)
% 0.54/0.68 [90]P1(f1(x901))
% 0.54/0.68 [91]P2(f2(x911),x911)
% 0.54/0.68 [92]P11(f19(x921),x921)
% 0.54/0.68 [95]P3(x951)+P6(f3(x951),x951)
% 0.54/0.68 [97]~P1(x971)+P6(f13(x971),x971)
% 0.54/0.68 [96]P1(x961)+~P6(x962,x961)
% 0.54/0.68 [99]~P3(x991)+~P6(x992,x991)
% 0.54/0.68 [100]~P6(x1001,x1002)+P7(x1001,x1002)
% 0.54/0.68 [101]~P2(x1011,x1012)+P7(x1011,x1012)
% 0.54/0.68 [102]~P11(x1021,x1022)+P9(x1021,x1022)
% 0.54/0.68 [103]~P8(x1031,x1032)+P9(x1031,x1032)
% 0.54/0.68 [105]~P2(x1051,x1052)+~P6(x1051,x1052)
% 0.54/0.68 [104]~P9(x1041,x1042)+P7(x1041,f1(x1042))
% 0.54/0.68 [108]~P6(x1081,x1082)+~E(f4(x1081,x1082),x1081)
% 0.54/0.68 [109]P9(x1091,x1092)+~P7(x1091,f1(x1092))
% 0.54/0.68 [111]P13(x1111,x1112)+P7(f5(x1111,x1112),x1111)
% 0.54/0.68 [117]~P6(x1171,x1172)+P6(f4(x1171,x1172),x1172)
% 0.54/0.68 [126]P13(x1261,x1262)+~P7(f5(x1261,x1262),x1262)
% 0.54/0.68 [138]~P2(x1381,x1382)+P10(x1381,f15(x1381,x1382),f6(x1381,x1382))
% 0.54/0.68 [129]~P2(x1291,x1292)+E(f29(f15(x1291,x1292),f6(x1291,x1292)),x1292)
% 0.54/0.68 [130]P7(x1301,x1302)+~P10(x1301,x1303,x1302)
% 0.54/0.68 [131]P7(x1311,x1312)+~P10(x1311,x1312,x1313)
% 0.54/0.68 [132]P9(x1321,x1322)+~P12(x1322,x1323,x1321)
% 0.54/0.68 [133]P9(x1331,x1332)+~P12(x1332,x1331,x1333)
% 0.54/0.68 [136]~P10(x1363,x1362,x1361)+E(f9(x1361,x1362),f29(x1362,x1361))
% 0.54/0.68 [158]~E(x1581,x1582)+~P4(x1583,x1581,x1584,x1582)
% 0.54/0.68 [168]~P4(x1684,x1683,x1682,x1681)+P6(x1681,f16(x1681,x1682,x1683,x1684))
% 0.54/0.68 [169]~P4(x1694,x1691,x1693,x1692)+P6(x1691,f16(x1692,x1693,x1691,x1694))
% 0.54/0.68 [170]~P4(x1704,x1703,x1701,x1702)+P2(x1701,f16(x1702,x1701,x1703,x1704))
% 0.54/0.68 [171]~P4(x1714,x1713,x1712,x1711)+P13(f16(x1711,x1712,x1713,x1714),x1714)
% 0.54/0.68 [173]~P5(x1731,x1734,x1733,x1732)+P4(f20(x1731,x1732,x1733,x1734),x1734,x1733,x1732)
% 0.54/0.68 [98]P1(x981)+~P13(x981,x982)+E(x981,x982)
% 0.54/0.68 [110]P2(x1101,x1102)+~P7(x1101,x1102)+P6(x1101,x1102)
% 0.54/0.68 [115]~P9(x1151,x1152)+P11(x1151,x1152)+~E(f14(x1152,x1151),x1151)
% 0.54/0.68 [116]~P9(x1161,x1162)+P8(x1161,x1162)+~E(f17(x1162,x1161),x1161)
% 0.54/0.68 [120]~P7(x1201,x1202)+P6(x1201,x1202)+P7(x1201,f7(x1202,x1201))
% 0.54/0.68 [121]~P7(x1211,x1212)+P6(x1211,x1212)+P7(x1211,f11(x1212,x1211))
% 0.54/0.68 [122]~P7(x1221,x1222)+P6(x1221,x1222)+P13(f7(x1222,x1221),x1222)
% 0.54/0.68 [123]~P7(x1231,x1232)+P6(x1231,x1232)+P13(f11(x1232,x1231),x1232)
% 0.54/0.68 [124]~P9(x1241,x1242)+P11(x1241,x1242)+P9(f14(x1242,x1241),x1242)
% 0.54/0.68 [125]~P9(x1251,x1252)+P8(x1251,x1252)+P9(f17(x1252,x1251),x1252)
% 0.54/0.68 [127]E(x1271,x1272)+P7(f8(x1271,x1272),x1272)+P7(f8(x1271,x1272),x1271)
% 0.54/0.68 [128]P7(f18(x1282,x1281),x1281)+P9(f18(x1282,x1281),x1282)+E(x1281,f28(x1282))
% 0.54/0.68 [137]E(x1371,x1372)+~P7(f8(x1371,x1372),x1372)+~P7(f8(x1371,x1372),x1371)
% 0.54/0.68 [139]~P7(f18(x1392,x1391),x1391)+~P9(f18(x1392,x1391),x1392)+E(x1391,f28(x1392))
% 0.54/0.68 [140]~P7(x1401,x1402)+P6(x1401,x1402)+~P13(f7(x1402,x1401),f11(x1402,x1401))
% 0.54/0.68 [141]~P7(x1411,x1412)+P6(x1411,x1412)+~P13(f11(x1412,x1411),f7(x1412,x1411))
% 0.54/0.68 [145]~P9(x1451,x1452)+P11(x1451,x1452)+~P12(x1452,x1451,f14(x1452,x1451))
% 0.54/0.68 [146]~P9(x1461,x1462)+P8(x1461,x1462)+~P12(x1462,f17(x1462,x1461),x1461)
% 0.54/0.68 [149]E(x1491,x1492)+P12(x1492,f24(x1492,x1491),f25(x1492,x1491))+P12(x1491,f24(x1492,x1491),f25(x1492,x1491))
% 0.54/0.68 [155]E(x1551,x1552)+~P12(x1552,f24(x1551,x1552),f25(x1551,x1552))+~P12(x1551,f24(x1551,x1552),f25(x1551,x1552))
% 0.54/0.68 [112]~P7(x1121,x1123)+P7(x1121,x1122)+~P13(x1123,x1122)
% 0.54/0.68 [106]~P9(x1061,x1063)+P7(x1061,x1062)+~E(x1062,f28(x1063))
% 0.54/0.68 [107]~P7(x1071,x1073)+P9(x1071,x1072)+~E(x1073,f28(x1072))
% 0.54/0.68 [159]~P7(f10(x1593,x1592,x1591),x1591)+~P7(f10(x1593,x1592,x1591),x1592)+E(x1591,f29(x1592,x1593))
% 0.54/0.68 [160]~P7(f10(x1603,x1602,x1601),x1601)+~P7(f10(x1603,x1602,x1601),x1603)+E(x1601,f29(x1602,x1603))
% 0.54/0.68 [161]~P12(x1611,x1613,x1612)+~P12(x1611,x1614,x1613)+P5(x1611,x1612,x1613,x1614)
% 0.54/0.68 [162]~P12(x1621,x1623,x1624)+~P12(x1621,x1622,x1623)+P5(x1621,x1622,x1623,x1624)
% 0.54/0.68 [164]P12(x1641,x1643,x1642)+P12(x1641,x1642,x1643)+~P5(x1641,x1644,x1643,x1642)
% 0.54/0.68 [165]~P5(x1651,x1654,x1653,x1652)+P12(x1651,x1652,x1653)+P12(x1651,x1654,x1653)
% 0.54/0.68 [166]~P5(x1661,x1664,x1662,x1663)+P12(x1661,x1662,x1663)+P12(x1661,x1662,x1664)
% 0.54/0.68 [167]P12(x1671,x1673,x1672)+P12(x1671,x1672,x1673)+~P5(x1671,x1673,x1672,x1674)
% 0.54/0.68 [113]~P7(x1131,x1134)+P7(x1131,x1132)+~E(x1132,f29(x1133,x1134))
% 0.54/0.68 [114]~P7(x1141,x1143)+P7(x1141,x1142)+~E(x1142,f29(x1143,x1144))
% 0.54/0.68 [172]~P9(x1721,x1722)+~P5(x1722,x1725,x1724,x1723)+P7(x1721,f20(x1722,x1723,x1724,x1725))
% 0.54/0.68 [174]P9(x1741,x1742)+~P5(x1742,x1743,x1744,x1745)+~P7(x1741,f20(x1742,x1745,x1744,x1743))
% 0.54/0.68 [134]~P9(x1342,x1343)+~P8(x1341,x1343)+E(x1341,x1342)+P12(x1343,x1342,x1341)
% 0.54/0.68 [135]~P11(x1351,x1353)+~P9(x1352,x1353)+E(x1351,x1352)+P12(x1353,x1351,x1352)
% 0.54/0.68 [151]~P7(x1511,x1513)+~P7(x1511,x1512)+P10(x1511,x1512,x1513)+P7(f12(x1513,x1512,x1511),x1513)
% 0.54/0.68 [152]~P7(x1521,x1523)+~P7(x1521,x1522)+P10(x1521,x1522,x1523)+P7(f12(x1523,x1522,x1521),x1522)
% 0.54/0.68 [157]P7(f10(x1573,x1572,x1571),x1571)+P7(f10(x1573,x1572,x1571),x1572)+P7(f10(x1573,x1572,x1571),x1573)+E(x1571,f29(x1572,x1573))
% 0.54/0.68 [143]~P7(x1431,x1432)+P6(x1431,x1432)+~P10(x1434,x1433,x1432)+~P7(x1431,x1433)
% 0.54/0.68 [144]~P7(x1441,x1442)+P6(x1441,x1442)+~P10(x1444,x1442,x1443)+~P7(x1441,x1443)
% 0.54/0.68 [119]~P7(x1191,x1194)+P7(x1191,x1192)+P7(x1191,x1193)+~E(x1194,f29(x1193,x1192))
% 0.54/0.68 [175]~P4(x1755,x1752,x1753,x1754)+P5(x1751,x1752,x1753,x1754)+P7(f21(x1755,x1751,x1754,x1753,x1752),x1755)+P9(f21(x1755,x1751,x1754,x1753,x1752),x1751)
% 0.54/0.68 [176]P5(x1761,x1762,x1763,x1764)+~P4(x1765,x1762,x1763,x1764)+~P7(f21(x1765,x1761,x1764,x1763,x1762),x1765)+~P9(f21(x1765,x1761,x1764,x1763,x1762),x1761)
% 0.54/0.68 [150]~P1(x1503)+~P7(x1502,x1503)+~P7(x1501,x1503)+E(x1501,x1502)+P12(f23(x1503,x1502,x1501),x1501,x1502)
% 0.54/0.68 [163]~P7(x1631,x1633)+~P7(x1631,x1632)+P10(x1631,x1632,x1633)+~P6(f12(x1633,x1632,x1631),x1633)+~P6(f12(x1633,x1632,x1631),x1632)
% 0.54/0.68 [147]~P3(x1474)+~P6(x1471,x1472)+P10(x1471,x1472,x1473)+~P10(x1475,x1472,x1473)+~E(x1474,f29(x1472,x1473))
% 0.54/0.68 [118]E(x1183,x1181)+~P6(x1181,x1184)+~P6(x1183,x1184)+E(x1181,x1182)+E(x1183,x1182)+~P6(x1182,x1184)
% 0.54/0.68 [148]~P1(x1484)+~P7(x1483,x1484)+~P7(x1482,x1484)+~P7(x1481,x1484)+E(x1481,x1482)+P9(x1483,f23(x1484,x1482,x1481))
% 0.54/0.68 [154]~P1(x1544)+~P7(x1542,x1544)+~P7(x1541,x1544)+E(x1541,x1542)+P7(x1543,x1544)+~P9(x1543,f23(x1544,x1542,x1541))
% 0.54/0.68 [156]~P6(x1562,x1565)+~P6(x1561,x1565)+~P2(x1564,x1565)+E(x1561,x1562)+P4(x1563,x1561,x1564,x1562)+~P13(x1565,x1563)
% 0.54/0.68 [142]P13(x1422,x1421)+~P13(x1422,x1423)+~P7(x1424,x1422)+~P6(x1424,x1423)+P13(x1421,x1422)+~P13(x1421,x1423)+~P7(x1424,x1421)
% 0.54/0.68 [153]P13(x1532,x1531)+P13(x1532,x1533)+P13(x1533,x1531)+P13(x1533,x1532)+~P13(x1532,x1534)+~P13(x1533,x1534)+~P6(x1535,x1532)+~P6(x1535,x1533)+P13(x1531,x1532)+P13(x1531,x1533)+~P13(x1531,x1534)+~P6(x1535,x1531)
% 0.54/0.68 %EqnAxiom
% 0.54/0.68 [1]E(x11,x11)
% 0.54/0.68 [2]E(x22,x21)+~E(x21,x22)
% 0.54/0.68 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.54/0.68 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 0.54/0.68 [5]~E(x51,x52)+E(f2(x51),f2(x52))
% 0.54/0.68 [6]~E(x61,x62)+E(f19(x61),f19(x62))
% 0.54/0.68 [7]~E(x71,x72)+E(f3(x71),f3(x72))
% 0.54/0.68 [8]~E(x81,x82)+E(f13(x81),f13(x82))
% 0.54/0.68 [9]~E(x91,x92)+E(f21(x91,x93,x94,x95,x96),f21(x92,x93,x94,x95,x96))
% 0.54/0.68 [10]~E(x101,x102)+E(f21(x103,x101,x104,x105,x106),f21(x103,x102,x104,x105,x106))
% 0.54/0.68 [11]~E(x111,x112)+E(f21(x113,x114,x111,x115,x116),f21(x113,x114,x112,x115,x116))
% 0.54/0.68 [12]~E(x121,x122)+E(f21(x123,x124,x125,x121,x126),f21(x123,x124,x125,x122,x126))
% 0.54/0.68 [13]~E(x131,x132)+E(f21(x133,x134,x135,x136,x131),f21(x133,x134,x135,x136,x132))
% 0.54/0.68 [14]~E(x141,x142)+E(f28(x141),f28(x142))
% 0.54/0.68 [15]~E(x151,x152)+E(f20(x151,x153,x154,x155),f20(x152,x153,x154,x155))
% 0.54/0.68 [16]~E(x161,x162)+E(f20(x163,x161,x164,x165),f20(x163,x162,x164,x165))
% 0.54/0.68 [17]~E(x171,x172)+E(f20(x173,x174,x171,x175),f20(x173,x174,x172,x175))
% 0.54/0.68 [18]~E(x181,x182)+E(f20(x183,x184,x185,x181),f20(x183,x184,x185,x182))
% 0.54/0.68 [19]~E(x191,x192)+E(f4(x191,x193),f4(x192,x193))
% 0.54/0.68 [20]~E(x201,x202)+E(f4(x203,x201),f4(x203,x202))
% 0.54/0.68 [21]~E(x211,x212)+E(f16(x211,x213,x214,x215),f16(x212,x213,x214,x215))
% 0.54/0.68 [22]~E(x221,x222)+E(f16(x223,x221,x224,x225),f16(x223,x222,x224,x225))
% 0.54/0.68 [23]~E(x231,x232)+E(f16(x233,x234,x231,x235),f16(x233,x234,x232,x235))
% 0.54/0.68 [24]~E(x241,x242)+E(f16(x243,x244,x245,x241),f16(x243,x244,x245,x242))
% 0.54/0.68 [25]~E(x251,x252)+E(f5(x251,x253),f5(x252,x253))
% 0.54/0.68 [26]~E(x261,x262)+E(f5(x263,x261),f5(x263,x262))
% 0.54/0.68 [27]~E(x271,x272)+E(f29(x271,x273),f29(x272,x273))
% 0.54/0.68 [28]~E(x281,x282)+E(f29(x283,x281),f29(x283,x282))
% 0.54/0.68 [29]~E(x291,x292)+E(f10(x291,x293,x294),f10(x292,x293,x294))
% 0.54/0.68 [30]~E(x301,x302)+E(f10(x303,x301,x304),f10(x303,x302,x304))
% 0.54/0.68 [31]~E(x311,x312)+E(f10(x313,x314,x311),f10(x313,x314,x312))
% 0.54/0.68 [32]~E(x321,x322)+E(f14(x321,x323),f14(x322,x323))
% 0.54/0.68 [33]~E(x331,x332)+E(f14(x333,x331),f14(x333,x332))
% 0.54/0.68 [34]~E(x341,x342)+E(f17(x341,x343),f17(x342,x343))
% 0.54/0.68 [35]~E(x351,x352)+E(f17(x353,x351),f17(x353,x352))
% 0.54/0.68 [36]~E(x361,x362)+E(f12(x361,x363,x364),f12(x362,x363,x364))
% 0.54/0.68 [37]~E(x371,x372)+E(f12(x373,x371,x374),f12(x373,x372,x374))
% 0.54/0.68 [38]~E(x381,x382)+E(f12(x383,x384,x381),f12(x383,x384,x382))
% 0.54/0.68 [39]~E(x391,x392)+E(f25(x391,x393),f25(x392,x393))
% 0.54/0.68 [40]~E(x401,x402)+E(f25(x403,x401),f25(x403,x402))
% 0.54/0.68 [41]~E(x411,x412)+E(f7(x411,x413),f7(x412,x413))
% 0.54/0.68 [42]~E(x421,x422)+E(f7(x423,x421),f7(x423,x422))
% 0.54/0.68 [43]~E(x431,x432)+E(f11(x431,x433),f11(x432,x433))
% 0.54/0.68 [44]~E(x441,x442)+E(f11(x443,x441),f11(x443,x442))
% 0.54/0.68 [45]~E(x451,x452)+E(f18(x451,x453),f18(x452,x453))
% 0.54/0.68 [46]~E(x461,x462)+E(f18(x463,x461),f18(x463,x462))
% 0.54/0.68 [47]~E(x471,x472)+E(f23(x471,x473,x474),f23(x472,x473,x474))
% 0.54/0.68 [48]~E(x481,x482)+E(f23(x483,x481,x484),f23(x483,x482,x484))
% 0.54/0.68 [49]~E(x491,x492)+E(f23(x493,x494,x491),f23(x493,x494,x492))
% 0.54/0.68 [50]~E(x501,x502)+E(f8(x501,x503),f8(x502,x503))
% 0.54/0.68 [51]~E(x511,x512)+E(f8(x513,x511),f8(x513,x512))
% 0.54/0.68 [52]~E(x521,x522)+E(f24(x521,x523),f24(x522,x523))
% 0.54/0.68 [53]~E(x531,x532)+E(f24(x533,x531),f24(x533,x532))
% 0.54/0.68 [54]~E(x541,x542)+E(f6(x541,x543),f6(x542,x543))
% 0.54/0.68 [55]~E(x551,x552)+E(f6(x553,x551),f6(x553,x552))
% 0.54/0.68 [56]~E(x561,x562)+E(f15(x561,x563),f15(x562,x563))
% 0.54/0.68 [57]~E(x571,x572)+E(f15(x573,x571),f15(x573,x572))
% 0.54/0.68 [58]~E(x581,x582)+E(f9(x581,x583),f9(x582,x583))
% 0.54/0.68 [59]~E(x591,x592)+E(f9(x593,x591),f9(x593,x592))
% 0.54/0.68 [60]~P1(x601)+P1(x602)+~E(x601,x602)
% 0.54/0.68 [61]P2(x612,x613)+~E(x611,x612)+~P2(x611,x613)
% 0.54/0.68 [62]P2(x623,x622)+~E(x621,x622)+~P2(x623,x621)
% 0.54/0.68 [63]P11(x632,x633)+~E(x631,x632)+~P11(x631,x633)
% 0.54/0.68 [64]P11(x643,x642)+~E(x641,x642)+~P11(x643,x641)
% 0.54/0.68 [65]P12(x652,x653,x654)+~E(x651,x652)+~P12(x651,x653,x654)
% 0.54/0.68 [66]P12(x663,x662,x664)+~E(x661,x662)+~P12(x663,x661,x664)
% 0.54/0.68 [67]P12(x673,x674,x672)+~E(x671,x672)+~P12(x673,x674,x671)
% 0.54/0.68 [68]P4(x682,x683,x684,x685)+~E(x681,x682)+~P4(x681,x683,x684,x685)
% 0.54/0.68 [69]P4(x693,x692,x694,x695)+~E(x691,x692)+~P4(x693,x691,x694,x695)
% 0.54/0.68 [70]P4(x703,x704,x702,x705)+~E(x701,x702)+~P4(x703,x704,x701,x705)
% 0.54/0.68 [71]P4(x713,x714,x715,x712)+~E(x711,x712)+~P4(x713,x714,x715,x711)
% 0.54/0.68 [72]~P3(x721)+P3(x722)+~E(x721,x722)
% 0.54/0.68 [73]P6(x732,x733)+~E(x731,x732)+~P6(x731,x733)
% 0.54/0.68 [74]P6(x743,x742)+~E(x741,x742)+~P6(x743,x741)
% 0.54/0.68 [75]P9(x752,x753)+~E(x751,x752)+~P9(x751,x753)
% 0.54/0.68 [76]P9(x763,x762)+~E(x761,x762)+~P9(x763,x761)
% 0.54/0.68 [77]P7(x772,x773)+~E(x771,x772)+~P7(x771,x773)
% 0.54/0.68 [78]P7(x783,x782)+~E(x781,x782)+~P7(x783,x781)
% 0.54/0.68 [79]P10(x792,x793,x794)+~E(x791,x792)+~P10(x791,x793,x794)
% 0.54/0.68 [80]P10(x803,x802,x804)+~E(x801,x802)+~P10(x803,x801,x804)
% 0.54/0.68 [81]P10(x813,x814,x812)+~E(x811,x812)+~P10(x813,x814,x811)
% 0.54/0.68 [82]P13(x822,x823)+~E(x821,x822)+~P13(x821,x823)
% 0.54/0.68 [83]P13(x833,x832)+~E(x831,x832)+~P13(x833,x831)
% 0.54/0.68 [84]P8(x842,x843)+~E(x841,x842)+~P8(x841,x843)
% 0.54/0.68 [85]P8(x853,x852)+~E(x851,x852)+~P8(x853,x851)
% 0.54/0.68 [86]P5(x862,x863,x864,x865)+~E(x861,x862)+~P5(x861,x863,x864,x865)
% 0.54/0.68 [87]P5(x873,x872,x874,x875)+~E(x871,x872)+~P5(x873,x871,x874,x875)
% 0.54/0.68 [88]P5(x883,x884,x882,x885)+~E(x881,x882)+~P5(x883,x884,x881,x885)
% 0.54/0.68 [89]P5(x893,x894,x895,x892)+~E(x891,x892)+~P5(x893,x894,x895,x891)
% 0.54/0.68
% 0.54/0.68 %-------------------------------------------
% 0.54/0.68 cnf(183,plain,
% 0.54/0.68 (~P4(x1832,x1831,x1833,x1831)),
% 0.54/0.68 inference(equality_inference,[],[158])).
% 0.54/0.68 cnf(187,plain,
% 0.54/0.68 ($false),
% 0.54/0.68 inference(scs_inference,[],[93,94,183,173,161]),
% 0.54/0.68 ['proof']).
% 0.54/0.68 % SZS output end Proof
% 0.54/0.68 % Total time :0.000000s
%------------------------------------------------------------------------------