TSTP Solution File: GEO118+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO118+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n021.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 : Wed Aug 30 22:43:02 EDT 2023
% Result : Theorem 4.75s 4.90s
% Output : CNFRefutation 4.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO118+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 21:13:14 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.61 start to proof:theBenchmark
% 4.75/4.89 %-------------------------------------------
% 4.75/4.89 % File :CSE---1.6
% 4.75/4.89 % Problem :theBenchmark
% 4.75/4.89 % Transform :cnf
% 4.75/4.89 % Format :tptp:raw
% 4.75/4.89 % Command :java -jar mcs_scs.jar %d %s
% 4.75/4.89
% 4.75/4.89 % Result :Theorem 4.200000s
% 4.75/4.89 % Output :CNFRefutation 4.200000s
% 4.75/4.89 %-------------------------------------------
% 4.75/4.90 %--------------------------------------------------------------------------
% 4.75/4.90 % File : GEO118+1 : TPTP v8.1.2. Released v2.4.0.
% 4.75/4.90 % Domain : Geometry (Oriented curves)
% 4.75/4.90 % Problem : Precedence on oriented curves is asymmetric
% 4.75/4.90 % Version : [EHK99] axioms.
% 4.75/4.90 % English :
% 4.75/4.90
% 4.75/4.90 % Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv
% 4.75/4.90 % : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto
% 4.75/4.90 % Source : [KE99]
% 4.75/4.90 % Names : Theorem 4.5 [KE99]
% 4.75/4.90
% 4.75/4.90 % Status : Theorem
% 4.75/4.90 % Rating : 0.14 v7.5.0, 0.16 v7.4.0, 0.13 v7.3.0, 0.14 v7.1.0, 0.22 v7.0.0, 0.13 v6.4.0, 0.19 v6.3.0, 0.29 v6.2.0, 0.32 v6.1.0, 0.33 v6.0.0, 0.43 v5.5.0, 0.30 v5.4.0, 0.25 v5.3.0, 0.33 v5.2.0, 0.20 v5.1.0, 0.19 v5.0.0, 0.29 v4.1.0, 0.22 v4.0.0, 0.25 v3.7.0, 0.20 v3.5.0, 0.21 v3.4.0, 0.16 v3.3.0, 0.14 v3.2.0, 0.27 v3.1.0, 0.22 v2.7.0, 0.17 v2.5.0, 0.00 v2.4.0
% 4.75/4.90 % Syntax : Number of formulae : 28 ( 2 unt; 0 def)
% 4.75/4.90 % Number of atoms : 114 ( 16 equ)
% 4.75/4.90 % Maximal formula atoms : 12 ( 4 avg)
% 4.75/4.90 % Number of connectives : 95 ( 9 ~; 10 |; 38 &)
% 4.75/4.90 % ( 20 <=>; 18 =>; 0 <=; 0 <~>)
% 4.75/4.90 % Maximal formula depth : 12 ( 7 avg)
% 4.75/4.90 % Maximal term depth : 2 ( 1 avg)
% 4.75/4.90 % Number of predicates : 14 ( 13 usr; 0 prp; 1-4 aty)
% 4.75/4.90 % Number of functors : 2 ( 2 usr; 0 con; 1-2 aty)
% 4.75/4.90 % Number of variables : 97 ( 83 !; 14 ?)
% 4.75/4.90 % SPC : FOF_THM_RFO_SEQ
% 4.75/4.90
% 4.75/4.90 % Comments :
% 4.75/4.90 %--------------------------------------------------------------------------
% 4.75/4.90 %----Include simple curve axioms
% 4.75/4.90 include('Axioms/GEO004+0.ax').
% 4.75/4.90 %----Include axioms of betweenness for simple curves
% 4.75/4.90 include('Axioms/GEO004+1.ax').
% 4.75/4.90 %----Include oriented curve axioms
% 4.75/4.90 include('Axioms/GEO004+2.ax').
% 4.75/4.90 %--------------------------------------------------------------------------
% 4.75/4.90 fof(theorem_4_5,conjecture,
% 4.75/4.90 ! [O,P,Q] :
% 4.75/4.90 ( ordered_by(O,P,Q)
% 4.75/4.90 => ~ ordered_by(O,Q,P) ) ).
% 4.75/4.90
% 4.75/4.90 %--------------------------------------------------------------------------
% 4.75/4.90 %-------------------------------------------
% 4.75/4.90 % Proof found
% 4.75/4.90 % SZS status Theorem for theBenchmark
% 4.75/4.90 % SZS output start Proof
% 4.75/4.90 %ClaNum:176(EqnAxiom:89)
% 4.75/4.90 %VarNum:701(SingletonVarNum:245)
% 4.75/4.90 %MaxLitNum:12
% 4.75/4.90 %MaxfuncDepth:2
% 4.75/4.90 %SharedTerms:5
% 4.75/4.90 %goalClause: 93 94
% 4.75/4.90 %singleGoalClaCount:2
% 4.75/4.90 [93]P12(a14,a19,a20)
% 4.75/4.90 [94]P12(a14,a20,a19)
% 4.75/4.90 [90]P1(f1(x901))
% 4.75/4.90 [91]P2(f9(x911),x911)
% 4.75/4.90 [92]P11(f10(x921),x921)
% 4.75/4.90 [95]P3(x951)+P6(f21(x951),x951)
% 4.75/4.90 [97]~P1(x971)+P6(f26(x971),x971)
% 4.75/4.90 [96]P1(x961)+~P6(x962,x961)
% 4.75/4.90 [99]~P3(x991)+~P6(x992,x991)
% 4.75/4.90 [100]~P6(x1001,x1002)+P7(x1001,x1002)
% 4.75/4.90 [101]~P2(x1011,x1012)+P7(x1011,x1012)
% 4.75/4.90 [102]~P11(x1021,x1022)+P9(x1021,x1022)
% 4.75/4.90 [103]~P8(x1031,x1032)+P9(x1031,x1032)
% 4.75/4.90 [105]~P2(x1051,x1052)+~P6(x1051,x1052)
% 4.75/4.90 [104]~P9(x1041,x1042)+P7(x1041,f1(x1042))
% 4.75/4.90 [108]~P6(x1082,x1081)+~E(f2(x1081,x1082),x1082)
% 4.75/4.90 [109]P9(x1091,x1092)+~P7(x1091,f1(x1092))
% 4.75/4.90 [111]P13(x1111,x1112)+P7(f11(x1112,x1111),x1111)
% 4.75/4.90 [117]~P6(x1172,x1171)+P6(f2(x1171,x1172),x1171)
% 4.75/4.90 [126]P13(x1261,x1262)+~P7(f11(x1262,x1261),x1262)
% 4.75/4.90 [138]~P2(x1381,x1382)+P10(x1381,f29(x1382,x1381),f3(x1382,x1381))
% 4.75/4.90 [129]~P2(x1292,x1291)+E(f28(f29(x1291,x1292),f3(x1291,x1292)),x1291)
% 4.75/4.90 [130]P7(x1301,x1302)+~P10(x1301,x1303,x1302)
% 4.75/4.90 [131]P7(x1311,x1312)+~P10(x1311,x1312,x1313)
% 4.75/4.90 [132]P9(x1321,x1322)+~P12(x1322,x1323,x1321)
% 4.75/4.90 [133]P9(x1331,x1332)+~P12(x1332,x1331,x1333)
% 4.75/4.90 [136]~P10(x1363,x1361,x1362)+E(f6(x1361,x1362),f28(x1361,x1362))
% 4.75/4.90 [158]~E(x1581,x1582)+~P4(x1583,x1581,x1584,x1582)
% 4.75/4.90 [168]~P4(x1682,x1683,x1684,x1681)+P6(x1681,f7(x1682,x1683,x1684,x1681))
% 4.75/4.90 [169]~P4(x1692,x1691,x1693,x1694)+P6(x1691,f7(x1692,x1691,x1693,x1694))
% 4.75/4.90 [170]~P4(x1702,x1703,x1701,x1704)+P2(x1701,f7(x1702,x1703,x1701,x1704))
% 4.75/4.90 [171]~P4(x1711,x1712,x1713,x1714)+P13(f7(x1711,x1712,x1713,x1714),x1711)
% 4.75/4.90 [173]~P5(x1734,x1731,x1732,x1733)+P4(f12(x1731,x1732,x1733,x1734),x1731,x1732,x1733)
% 4.75/4.90 [98]P1(x981)+~P13(x981,x982)+E(x981,x982)
% 4.75/4.91 [110]P2(x1101,x1102)+~P7(x1101,x1102)+P6(x1101,x1102)
% 4.75/4.91 [115]~P9(x1151,x1152)+P11(x1151,x1152)+~E(f4(x1151,x1152),x1151)
% 4.75/4.91 [116]~P9(x1161,x1162)+P8(x1161,x1162)+~E(f8(x1161,x1162),x1161)
% 4.75/4.91 [120]~P7(x1201,x1202)+P6(x1201,x1202)+P7(x1201,f22(x1201,x1202))
% 4.75/4.91 [121]~P7(x1211,x1212)+P6(x1211,x1212)+P7(x1211,f24(x1211,x1212))
% 4.75/4.91 [122]~P7(x1221,x1222)+P6(x1221,x1222)+P13(f22(x1221,x1222),x1222)
% 4.75/4.91 [123]~P7(x1231,x1232)+P6(x1231,x1232)+P13(f24(x1231,x1232),x1232)
% 4.75/4.91 [124]~P9(x1241,x1242)+P11(x1241,x1242)+P9(f4(x1241,x1242),x1242)
% 4.75/4.91 [125]~P9(x1251,x1252)+P8(x1251,x1252)+P9(f8(x1251,x1252),x1252)
% 4.75/4.91 [127]E(x1271,x1272)+P7(f5(x1271,x1272),x1272)+P7(f5(x1271,x1272),x1271)
% 4.75/4.91 [128]P7(f15(x1281,x1282),x1281)+P9(f15(x1281,x1282),x1282)+E(x1281,f27(x1282))
% 4.75/4.91 [137]E(x1371,x1372)+~P7(f5(x1371,x1372),x1372)+~P7(f5(x1371,x1372),x1371)
% 4.75/4.91 [139]~P7(f15(x1391,x1392),x1391)+~P9(f15(x1391,x1392),x1392)+E(x1391,f27(x1392))
% 4.75/4.91 [140]~P7(x1401,x1402)+P6(x1401,x1402)+~P13(f22(x1401,x1402),f24(x1401,x1402))
% 4.75/4.91 [141]~P7(x1411,x1412)+P6(x1411,x1412)+~P13(f24(x1411,x1412),f22(x1411,x1412))
% 4.75/4.91 [145]~P9(x1451,x1452)+P11(x1451,x1452)+~P12(x1452,x1451,f4(x1451,x1452))
% 4.75/4.91 [146]~P9(x1461,x1462)+P8(x1461,x1462)+~P12(x1462,f8(x1461,x1462),x1461)
% 4.75/4.91 [149]E(x1491,x1492)+P12(x1492,f17(x1491,x1492),f18(x1491,x1492))+P12(x1491,f17(x1491,x1492),f18(x1491,x1492))
% 4.75/4.91 [155]E(x1551,x1552)+~P12(x1552,f17(x1551,x1552),f18(x1551,x1552))+~P12(x1551,f17(x1551,x1552),f18(x1551,x1552))
% 4.75/4.91 [112]~P7(x1121,x1123)+P7(x1121,x1122)+~P13(x1123,x1122)
% 4.75/4.91 [106]~P9(x1061,x1063)+P7(x1061,x1062)+~E(x1062,f27(x1063))
% 4.75/4.91 [107]~P7(x1071,x1073)+P9(x1071,x1072)+~E(x1073,f27(x1072))
% 4.75/4.91 [159]~P7(f23(x1591,x1592,x1593),x1593)+~P7(f23(x1591,x1592,x1593),x1591)+E(x1591,f28(x1592,x1593))
% 4.75/4.91 [160]~P7(f23(x1601,x1602,x1603),x1602)+~P7(f23(x1601,x1602,x1603),x1601)+E(x1601,f28(x1602,x1603))
% 4.75/4.91 [161]~P12(x1611,x1613,x1612)+~P12(x1611,x1614,x1613)+P5(x1611,x1612,x1613,x1614)
% 4.75/4.91 [162]~P12(x1621,x1623,x1624)+~P12(x1621,x1622,x1623)+P5(x1621,x1622,x1623,x1624)
% 4.75/4.91 [164]~P5(x1641,x1642,x1643,x1644)+P12(x1641,x1642,x1643)+P12(x1641,x1644,x1643)
% 4.75/4.91 [165]P12(x1651,x1653,x1652)+P12(x1651,x1652,x1653)+~P5(x1651,x1654,x1652,x1653)
% 4.75/4.91 [166]P12(x1661,x1663,x1662)+P12(x1661,x1662,x1663)+~P5(x1661,x1662,x1663,x1664)
% 4.75/4.91 [167]~P5(x1671,x1674,x1672,x1673)+P12(x1671,x1672,x1673)+P12(x1671,x1672,x1674)
% 4.75/4.91 [113]~P7(x1131,x1134)+P7(x1131,x1132)+~E(x1132,f28(x1133,x1134))
% 4.75/4.91 [114]~P7(x1141,x1143)+P7(x1141,x1142)+~E(x1142,f28(x1143,x1144))
% 4.75/4.91 [172]~P9(x1721,x1725)+~P5(x1725,x1722,x1723,x1724)+P7(x1721,f12(x1722,x1723,x1724,x1725))
% 4.75/4.91 [174]P9(x1741,x1742)+~P5(x1742,x1743,x1744,x1745)+~P7(x1741,f12(x1743,x1744,x1745,x1742))
% 4.75/4.91 [134]~P9(x1342,x1343)+~P8(x1341,x1343)+E(x1341,x1342)+P12(x1343,x1342,x1341)
% 4.75/4.91 [135]~P11(x1351,x1353)+~P9(x1352,x1353)+E(x1351,x1352)+P12(x1353,x1351,x1352)
% 4.75/4.91 [151]~P7(x1511,x1513)+~P7(x1511,x1512)+P10(x1511,x1512,x1513)+P7(f25(x1511,x1512,x1513),x1513)
% 4.75/4.91 [152]~P7(x1521,x1523)+~P7(x1521,x1522)+P10(x1521,x1522,x1523)+P7(f25(x1521,x1522,x1523),x1522)
% 4.75/4.91 [157]P7(f23(x1571,x1572,x1573),x1573)+P7(f23(x1571,x1572,x1573),x1572)+P7(f23(x1571,x1572,x1573),x1571)+E(x1571,f28(x1572,x1573))
% 4.75/4.91 [143]~P7(x1431,x1432)+P6(x1431,x1432)+~P10(x1434,x1433,x1432)+~P7(x1431,x1433)
% 4.75/4.91 [144]~P7(x1441,x1442)+P6(x1441,x1442)+~P10(x1444,x1442,x1443)+~P7(x1441,x1443)
% 4.75/4.91 [119]~P7(x1191,x1194)+P7(x1191,x1192)+P7(x1191,x1193)+~E(x1194,f28(x1193,x1192))
% 4.75/4.91 [175]~P4(x1755,x1752,x1753,x1754)+P5(x1751,x1752,x1753,x1754)+P7(f13(x1752,x1753,x1754,x1751,x1755),x1755)+P9(f13(x1752,x1753,x1754,x1751,x1755),x1751)
% 4.75/4.91 [176]P5(x1761,x1762,x1763,x1764)+~P4(x1765,x1762,x1763,x1764)+~P7(f13(x1762,x1763,x1764,x1761,x1765),x1765)+~P9(f13(x1762,x1763,x1764,x1761,x1765),x1761)
% 4.75/4.91 [150]~P1(x1503)+~P7(x1502,x1503)+~P7(x1501,x1503)+E(x1501,x1502)+P12(f16(x1501,x1502,x1503),x1501,x1502)
% 4.75/4.91 [163]~P7(x1631,x1633)+~P7(x1631,x1632)+P10(x1631,x1632,x1633)+~P6(f25(x1631,x1632,x1633),x1633)+~P6(f25(x1631,x1632,x1633),x1632)
% 4.75/4.91 [147]~P3(x1474)+~P6(x1471,x1472)+P10(x1471,x1472,x1473)+~P10(x1475,x1472,x1473)+~E(x1474,f28(x1472,x1473))
% 4.75/4.91 [118]E(x1183,x1181)+~P6(x1181,x1184)+~P6(x1183,x1184)+E(x1181,x1182)+E(x1183,x1182)+~P6(x1182,x1184)
% 4.75/4.91 [148]~P1(x1484)+~P7(x1482,x1484)+~P7(x1481,x1484)+~P7(x1483,x1484)+E(x1481,x1482)+P9(x1483,f16(x1481,x1482,x1484))
% 4.75/4.91 [154]~P1(x1544)+~P7(x1542,x1544)+~P7(x1541,x1544)+E(x1541,x1542)+P7(x1543,x1544)+~P9(x1543,f16(x1541,x1542,x1544))
% 4.75/4.91 [156]~P6(x1562,x1565)+~P6(x1561,x1565)+~P2(x1564,x1565)+E(x1561,x1562)+P4(x1563,x1561,x1564,x1562)+~P13(x1565,x1563)
% 4.75/4.91 [142]P13(x1422,x1421)+~P13(x1422,x1423)+~P7(x1424,x1422)+~P6(x1424,x1423)+P13(x1421,x1422)+~P13(x1421,x1423)+~P7(x1424,x1421)
% 4.75/4.91 [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)
% 4.75/4.91 %EqnAxiom
% 4.75/4.91 [1]E(x11,x11)
% 4.75/4.91 [2]E(x22,x21)+~E(x21,x22)
% 4.75/4.91 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 4.75/4.91 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 4.75/4.91 [5]~E(x51,x52)+E(f9(x51),f9(x52))
% 4.75/4.91 [6]~E(x61,x62)+E(f10(x61),f10(x62))
% 4.75/4.91 [7]~E(x71,x72)+E(f21(x71),f21(x72))
% 4.75/4.91 [8]~E(x81,x82)+E(f26(x81),f26(x82))
% 4.75/4.91 [9]~E(x91,x92)+E(f13(x91,x93,x94,x95,x96),f13(x92,x93,x94,x95,x96))
% 4.75/4.91 [10]~E(x101,x102)+E(f13(x103,x101,x104,x105,x106),f13(x103,x102,x104,x105,x106))
% 4.75/4.91 [11]~E(x111,x112)+E(f13(x113,x114,x111,x115,x116),f13(x113,x114,x112,x115,x116))
% 4.75/4.91 [12]~E(x121,x122)+E(f13(x123,x124,x125,x121,x126),f13(x123,x124,x125,x122,x126))
% 4.75/4.91 [13]~E(x131,x132)+E(f13(x133,x134,x135,x136,x131),f13(x133,x134,x135,x136,x132))
% 4.75/4.91 [14]~E(x141,x142)+E(f27(x141),f27(x142))
% 4.75/4.91 [15]~E(x151,x152)+E(f12(x151,x153,x154,x155),f12(x152,x153,x154,x155))
% 4.75/4.91 [16]~E(x161,x162)+E(f12(x163,x161,x164,x165),f12(x163,x162,x164,x165))
% 4.75/4.91 [17]~E(x171,x172)+E(f12(x173,x174,x171,x175),f12(x173,x174,x172,x175))
% 4.75/4.91 [18]~E(x181,x182)+E(f12(x183,x184,x185,x181),f12(x183,x184,x185,x182))
% 4.75/4.91 [19]~E(x191,x192)+E(f2(x191,x193),f2(x192,x193))
% 4.75/4.91 [20]~E(x201,x202)+E(f2(x203,x201),f2(x203,x202))
% 4.75/4.91 [21]~E(x211,x212)+E(f7(x211,x213,x214,x215),f7(x212,x213,x214,x215))
% 4.75/4.91 [22]~E(x221,x222)+E(f7(x223,x221,x224,x225),f7(x223,x222,x224,x225))
% 4.75/4.91 [23]~E(x231,x232)+E(f7(x233,x234,x231,x235),f7(x233,x234,x232,x235))
% 4.75/4.91 [24]~E(x241,x242)+E(f7(x243,x244,x245,x241),f7(x243,x244,x245,x242))
% 4.75/4.91 [25]~E(x251,x252)+E(f11(x251,x253),f11(x252,x253))
% 4.75/4.91 [26]~E(x261,x262)+E(f11(x263,x261),f11(x263,x262))
% 4.75/4.91 [27]~E(x271,x272)+E(f28(x271,x273),f28(x272,x273))
% 4.75/4.91 [28]~E(x281,x282)+E(f28(x283,x281),f28(x283,x282))
% 4.75/4.91 [29]~E(x291,x292)+E(f23(x291,x293,x294),f23(x292,x293,x294))
% 4.75/4.91 [30]~E(x301,x302)+E(f23(x303,x301,x304),f23(x303,x302,x304))
% 4.75/4.91 [31]~E(x311,x312)+E(f23(x313,x314,x311),f23(x313,x314,x312))
% 4.75/4.91 [32]~E(x321,x322)+E(f4(x321,x323),f4(x322,x323))
% 4.75/4.91 [33]~E(x331,x332)+E(f4(x333,x331),f4(x333,x332))
% 4.75/4.91 [34]~E(x341,x342)+E(f8(x341,x343),f8(x342,x343))
% 4.75/4.91 [35]~E(x351,x352)+E(f8(x353,x351),f8(x353,x352))
% 4.75/4.91 [36]~E(x361,x362)+E(f25(x361,x363,x364),f25(x362,x363,x364))
% 4.75/4.91 [37]~E(x371,x372)+E(f25(x373,x371,x374),f25(x373,x372,x374))
% 4.75/4.91 [38]~E(x381,x382)+E(f25(x383,x384,x381),f25(x383,x384,x382))
% 4.75/4.91 [39]~E(x391,x392)+E(f18(x391,x393),f18(x392,x393))
% 4.75/4.91 [40]~E(x401,x402)+E(f18(x403,x401),f18(x403,x402))
% 4.75/4.91 [41]~E(x411,x412)+E(f22(x411,x413),f22(x412,x413))
% 4.75/4.91 [42]~E(x421,x422)+E(f22(x423,x421),f22(x423,x422))
% 4.75/4.91 [43]~E(x431,x432)+E(f24(x431,x433),f24(x432,x433))
% 4.75/4.91 [44]~E(x441,x442)+E(f24(x443,x441),f24(x443,x442))
% 4.75/4.91 [45]~E(x451,x452)+E(f15(x451,x453),f15(x452,x453))
% 4.75/4.91 [46]~E(x461,x462)+E(f15(x463,x461),f15(x463,x462))
% 4.75/4.91 [47]~E(x471,x472)+E(f16(x471,x473,x474),f16(x472,x473,x474))
% 4.75/4.91 [48]~E(x481,x482)+E(f16(x483,x481,x484),f16(x483,x482,x484))
% 4.75/4.91 [49]~E(x491,x492)+E(f16(x493,x494,x491),f16(x493,x494,x492))
% 4.75/4.91 [50]~E(x501,x502)+E(f5(x501,x503),f5(x502,x503))
% 4.75/4.91 [51]~E(x511,x512)+E(f5(x513,x511),f5(x513,x512))
% 4.75/4.91 [52]~E(x521,x522)+E(f17(x521,x523),f17(x522,x523))
% 4.75/4.91 [53]~E(x531,x532)+E(f17(x533,x531),f17(x533,x532))
% 4.75/4.91 [54]~E(x541,x542)+E(f3(x541,x543),f3(x542,x543))
% 4.75/4.91 [55]~E(x551,x552)+E(f3(x553,x551),f3(x553,x552))
% 4.75/4.91 [56]~E(x561,x562)+E(f29(x561,x563),f29(x562,x563))
% 4.75/4.91 [57]~E(x571,x572)+E(f29(x573,x571),f29(x573,x572))
% 4.75/4.91 [58]~E(x581,x582)+E(f6(x581,x583),f6(x582,x583))
% 4.75/4.91 [59]~E(x591,x592)+E(f6(x593,x591),f6(x593,x592))
% 4.75/4.91 [60]~P1(x601)+P1(x602)+~E(x601,x602)
% 4.75/4.91 [61]P2(x612,x613)+~E(x611,x612)+~P2(x611,x613)
% 4.75/4.91 [62]P2(x623,x622)+~E(x621,x622)+~P2(x623,x621)
% 4.75/4.91 [63]P11(x632,x633)+~E(x631,x632)+~P11(x631,x633)
% 4.75/4.91 [64]P11(x643,x642)+~E(x641,x642)+~P11(x643,x641)
% 4.75/4.91 [65]P12(x652,x653,x654)+~E(x651,x652)+~P12(x651,x653,x654)
% 4.75/4.91 [66]P12(x663,x662,x664)+~E(x661,x662)+~P12(x663,x661,x664)
% 4.75/4.91 [67]P12(x673,x674,x672)+~E(x671,x672)+~P12(x673,x674,x671)
% 4.75/4.91 [68]P4(x682,x683,x684,x685)+~E(x681,x682)+~P4(x681,x683,x684,x685)
% 4.75/4.91 [69]P4(x693,x692,x694,x695)+~E(x691,x692)+~P4(x693,x691,x694,x695)
% 4.75/4.91 [70]P4(x703,x704,x702,x705)+~E(x701,x702)+~P4(x703,x704,x701,x705)
% 4.75/4.91 [71]P4(x713,x714,x715,x712)+~E(x711,x712)+~P4(x713,x714,x715,x711)
% 4.75/4.91 [72]~P3(x721)+P3(x722)+~E(x721,x722)
% 4.75/4.91 [73]P6(x732,x733)+~E(x731,x732)+~P6(x731,x733)
% 4.75/4.91 [74]P6(x743,x742)+~E(x741,x742)+~P6(x743,x741)
% 4.75/4.91 [75]P9(x752,x753)+~E(x751,x752)+~P9(x751,x753)
% 4.75/4.91 [76]P9(x763,x762)+~E(x761,x762)+~P9(x763,x761)
% 4.75/4.91 [77]P7(x772,x773)+~E(x771,x772)+~P7(x771,x773)
% 4.75/4.91 [78]P7(x783,x782)+~E(x781,x782)+~P7(x783,x781)
% 4.75/4.91 [79]P10(x792,x793,x794)+~E(x791,x792)+~P10(x791,x793,x794)
% 4.75/4.91 [80]P10(x803,x802,x804)+~E(x801,x802)+~P10(x803,x801,x804)
% 4.75/4.91 [81]P10(x813,x814,x812)+~E(x811,x812)+~P10(x813,x814,x811)
% 4.75/4.91 [82]P13(x822,x823)+~E(x821,x822)+~P13(x821,x823)
% 4.75/4.91 [83]P13(x833,x832)+~E(x831,x832)+~P13(x833,x831)
% 4.75/4.91 [84]P8(x842,x843)+~E(x841,x842)+~P8(x841,x843)
% 4.75/4.91 [85]P8(x853,x852)+~E(x851,x852)+~P8(x853,x851)
% 4.75/4.91 [86]P5(x862,x863,x864,x865)+~E(x861,x862)+~P5(x861,x863,x864,x865)
% 4.75/4.91 [87]P5(x873,x872,x874,x875)+~E(x871,x872)+~P5(x873,x871,x874,x875)
% 4.75/4.91 [88]P5(x883,x884,x882,x885)+~E(x881,x882)+~P5(x883,x884,x881,x885)
% 4.75/4.91 [89]P5(x893,x894,x895,x892)+~E(x891,x892)+~P5(x893,x894,x895,x891)
% 4.75/4.91
% 4.75/4.91 %-------------------------------------------
% 4.75/4.91 cnf(195,plain,
% 4.75/4.91 (P5(a14,a19,a20,a19)),
% 4.75/4.91 inference(scs_inference,[],[93,94,91,92,90,133,132,105,102,101,104,97,138,74,73,162,161])).
% 4.75/4.91 cnf(388,plain,
% 4.75/4.91 (P4(f12(a19,a20,a19,a14),a19,a20,a19)),
% 4.75/4.91 inference(scs_inference,[],[195,173])).
% 4.75/4.91 cnf(392,plain,
% 4.75/4.91 (P6(a19,f7(f12(a19,a20,a19,a14),a19,a20,a19))),
% 4.75/4.91 inference(scs_inference,[],[195,173,171,169])).
% 4.75/4.91 cnf(1426,plain,
% 4.75/4.91 ($false),
% 4.75/4.91 inference(scs_inference,[],[388,392,158,118]),
% 4.75/4.91 ['proof']).
% 4.75/4.91 % SZS output end Proof
% 4.75/4.91 % Total time :4.200000s
%------------------------------------------------------------------------------