%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO126+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 : n019.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 06:03:57 EDT 2024
% Result : Theorem 58.62s 58.73s
% Output : CNFRefutation 58.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15 % Problem : GEO126+1 : TPTP v8.2.0. Released v2.4.0.
% 0.09/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.37 % Computer : n019.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Fri Jun 21 08:15:09 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.23/0.60 start to proof:theBenchmark
% 58.62/58.72 %-------------------------------------------
% 58.62/58.72 % File :CSE---1.7
% 58.62/58.72 % Problem :theBenchmark
% 58.62/58.72 % Transform :cnf
% 58.62/58.72 % Format :tptp:raw
% 58.62/58.72 % Command :java -jar mcs_scs.jar %d %s
% 58.62/58.72
% 58.62/58.72 % Result :Theorem 58.020000s
% 58.62/58.72 % Output :CNFRefutation 58.020000s
% 58.62/58.72 %-------------------------------------------
% 58.62/58.73 %--------------------------------------------------------------------------
% 58.62/58.73 % File : GEO126+1 : TPTP v8.2.0. Released v2.4.0.
% 58.62/58.73 % Domain : Geometry (Oriented curves)
% 58.62/58.73 % Problem : Every oriented curve orders some points
% 58.62/58.73 % Version : [EHK99] axioms.
% 58.62/58.73 % English :
% 58.62/58.73
% 58.62/58.73 % Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv
% 58.62/58.73 % : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto
% 58.62/58.73 % Source : [KE99]
% 58.62/58.73 % Names : Theorem 4.11 [KE99]
% 58.62/58.73
% 58.62/58.73 % Status : Theorem
% 58.62/58.73 % Rating : 0.44 v8.2.0, 0.42 v7.5.0, 0.41 v7.4.0, 0.37 v7.3.0, 0.48 v7.2.0, 0.45 v7.1.0, 0.43 v6.4.0, 0.46 v6.3.0, 0.50 v6.2.0, 0.52 v6.1.0, 0.60 v6.0.0, 0.65 v5.5.0, 0.67 v5.4.0, 0.68 v5.3.0, 0.67 v5.2.0, 0.55 v5.1.0, 0.62 v5.0.0, 0.54 v4.1.0, 0.52 v4.0.0, 0.50 v3.5.0, 0.42 v3.4.0, 0.63 v3.3.0, 0.57 v3.2.0, 0.55 v3.1.0, 0.67 v2.7.0, 0.50 v2.4.0
% 58.62/58.73 % Syntax : Number of formulae : 28 ( 2 unt; 0 def)
% 58.62/58.73 % Number of atoms : 114 ( 17 equ)
% 58.62/58.73 % Maximal formula atoms : 12 ( 4 avg)
% 58.62/58.73 % Number of connectives : 95 ( 9 ~; 10 |; 39 &)
% 58.62/58.73 % ( 20 <=>; 17 =>; 0 <=; 0 <~>)
% 58.62/58.73 % Maximal formula depth : 12 ( 7 avg)
% 58.62/58.73 % Maximal term depth : 2 ( 1 avg)
% 58.62/58.73 % Number of predicates : 14 ( 13 usr; 0 prp; 1-4 aty)
% 58.62/58.73 % Number of functors : 2 ( 2 usr; 0 con; 1-2 aty)
% 58.62/58.73 % Number of variables : 97 ( 81 !; 16 ?)
% 58.62/58.73 % SPC : FOF_THM_RFO_SEQ
% 58.62/58.73
% 58.62/58.73 % Comments :
% 58.62/58.73 %--------------------------------------------------------------------------
% 58.62/58.73 %----Include simple curve axioms
% 58.62/58.73 include('Axioms/GEO004+0.ax').
% 58.62/58.73 %----Include axioms of betweenness for simple curves
% 58.62/58.73 include('Axioms/GEO004+1.ax').
% 58.62/58.73 %----Include oriented curve axioms
% 58.62/58.73 include('Axioms/GEO004+2.ax').
% 58.62/58.73 %--------------------------------------------------------------------------
% 58.62/58.73 fof(theorem_4_11,conjecture,
% 58.62/58.73 ! [O] :
% 58.62/58.73 ? [P,Q] :
% 58.62/58.73 ( ordered_by(O,P,Q)
% 58.62/58.73 & P != Q ) ).
% 58.62/58.73
% 58.62/58.73 %--------------------------------------------------------------------------
% 58.62/58.73 %-------------------------------------------
% 58.62/58.73 % Proof found
% 58.62/58.73 % SZS status Theorem for theBenchmark
% 58.62/58.73 % SZS output start Proof
% 58.62/58.73 %ClaNum:175(EqnAxiom:89)
% 58.62/58.73 %VarNum:705(SingletonVarNum:247)
% 58.62/58.73 %MaxLitNum:12
% 58.62/58.73 %MaxfuncDepth:2
% 58.62/58.73 %SharedTerms:1
% 58.62/58.73 %goalClause: 127
% 58.62/58.73 [90]P1(f1(x901))
% 58.62/58.73 [91]P2(f9(x911),x911)
% 58.62/58.73 [92]P11(f10(x921),x921)
% 58.62/58.73 [93]P3(x931)+P6(f14(x931),x931)
% 58.62/58.73 [95]~P1(x951)+P6(f24(x951),x951)
% 58.62/58.73 [94]P1(x941)+~P6(x942,x941)
% 58.62/58.73 [97]~P3(x971)+~P6(x972,x971)
% 58.62/58.73 [98]~P6(x981,x982)+P7(x981,x982)
% 58.62/58.73 [99]~P2(x991,x992)+P7(x991,x992)
% 58.62/58.73 [100]~P11(x1001,x1002)+P9(x1001,x1002)
% 58.62/58.73 [101]~P8(x1011,x1012)+P9(x1011,x1012)
% 58.62/58.73 [103]~P2(x1031,x1032)+~P6(x1031,x1032)
% 58.62/58.73 [127]E(x1271,x1272)+~P13(a20,x1271,x1272)
% 58.62/58.73 [102]~P9(x1021,x1022)+P7(x1021,f1(x1022))
% 58.62/58.73 [106]~P6(x1062,x1061)+~E(f2(x1061,x1062),x1062)
% 58.62/58.73 [107]P9(x1071,x1072)+~P7(x1071,f1(x1072))
% 58.62/58.73 [109]P12(x1091,x1092)+P7(f11(x1092,x1091),x1091)
% 58.62/58.73 [115]~P6(x1152,x1151)+P6(f2(x1151,x1152),x1151)
% 58.62/58.73 [124]P12(x1241,x1242)+~P7(f11(x1242,x1241),x1242)
% 58.67/58.73 [137]~P2(x1371,x1372)+P10(x1371,f27(x1372,x1371),f3(x1372,x1371))
% 58.67/58.73 [128]~P2(x1282,x1281)+E(f26(f27(x1281,x1282),f3(x1281,x1282)),x1281)
% 58.67/58.73 [129]P7(x1291,x1292)+~P10(x1291,x1293,x1292)
% 58.67/58.73 [130]P7(x1301,x1302)+~P10(x1301,x1302,x1303)
% 58.67/58.73 [131]P9(x1311,x1312)+~P13(x1312,x1313,x1311)
% 58.67/58.73 [132]P9(x1321,x1322)+~P13(x1322,x1321,x1323)
% 58.67/58.73 [135]~P10(x1353,x1351,x1352)+E(f6(x1351,x1352),f26(x1351,x1352))
% 58.67/58.73 [157]~E(x1571,x1572)+~P4(x1573,x1571,x1574,x1572)
% 58.67/58.73 [167]~P4(x1672,x1673,x1674,x1671)+P6(x1671,f7(x1672,x1673,x1674,x1671))
% 58.67/58.73 [168]~P4(x1682,x1681,x1683,x1684)+P6(x1681,f7(x1682,x1681,x1683,x1684))
% 58.67/58.73 [169]~P4(x1692,x1693,x1691,x1694)+P2(x1691,f7(x1692,x1693,x1691,x1694))
% 58.67/58.73 [170]~P4(x1701,x1702,x1703,x1704)+P12(f7(x1701,x1702,x1703,x1704),x1701)
% 58.67/58.73 [172]~P5(x1724,x1721,x1722,x1723)+P4(f12(x1721,x1722,x1723,x1724),x1721,x1722,x1723)
% 58.67/58.73 [96]P1(x961)+~P12(x961,x962)+E(x961,x962)
% 58.67/58.73 [108]P2(x1081,x1082)+~P7(x1081,x1082)+P6(x1081,x1082)
% 58.67/58.73 [113]~P9(x1131,x1132)+P11(x1131,x1132)+~E(f4(x1131,x1132),x1131)
% 58.67/58.73 [114]~P9(x1141,x1142)+P8(x1141,x1142)+~E(f8(x1141,x1142),x1141)
% 58.67/58.73 [118]~P7(x1181,x1182)+P6(x1181,x1182)+P7(x1181,f15(x1181,x1182))
% 58.67/58.73 [119]~P7(x1191,x1192)+P6(x1191,x1192)+P7(x1191,f22(x1191,x1192))
% 58.67/58.73 [120]~P7(x1201,x1202)+P6(x1201,x1202)+P12(f15(x1201,x1202),x1202)
% 58.67/58.73 [121]~P7(x1211,x1212)+P6(x1211,x1212)+P12(f22(x1211,x1212),x1212)
% 58.67/58.73 [122]~P9(x1221,x1222)+P11(x1221,x1222)+P9(f4(x1221,x1222),x1222)
% 58.67/58.73 [123]~P9(x1231,x1232)+P8(x1231,x1232)+P9(f8(x1231,x1232),x1232)
% 58.67/58.73 [125]E(x1251,x1252)+P7(f5(x1251,x1252),x1252)+P7(f5(x1251,x1252),x1251)
% 58.67/58.73 [126]P7(f16(x1261,x1262),x1261)+P9(f16(x1261,x1262),x1262)+E(x1261,f25(x1262))
% 58.67/58.73 [136]E(x1361,x1362)+~P7(f5(x1361,x1362),x1362)+~P7(f5(x1361,x1362),x1361)
% 58.67/58.73 [138]~P7(f16(x1381,x1382),x1381)+~P9(f16(x1381,x1382),x1382)+E(x1381,f25(x1382))
% 58.67/58.73 [139]~P7(x1391,x1392)+P6(x1391,x1392)+~P12(f15(x1391,x1392),f22(x1391,x1392))
% 58.67/58.73 [140]~P7(x1401,x1402)+P6(x1401,x1402)+~P12(f22(x1401,x1402),f15(x1401,x1402))
% 58.67/58.73 [144]~P9(x1441,x1442)+P11(x1441,x1442)+~P13(x1442,x1441,f4(x1441,x1442))
% 58.67/58.73 [145]~P9(x1451,x1452)+P8(x1451,x1452)+~P13(x1452,f8(x1451,x1452),x1451)
% 58.67/58.73 [148]E(x1481,x1482)+P13(x1482,f18(x1481,x1482),f19(x1481,x1482))+P13(x1481,f18(x1481,x1482),f19(x1481,x1482))
% 58.67/58.73 [154]E(x1541,x1542)+~P13(x1542,f18(x1541,x1542),f19(x1541,x1542))+~P13(x1541,f18(x1541,x1542),f19(x1541,x1542))
% 58.67/58.73 [110]~P7(x1101,x1103)+P7(x1101,x1102)+~P12(x1103,x1102)
% 58.67/58.73 [104]~P9(x1041,x1043)+P7(x1041,x1042)+~E(x1042,f25(x1043))
% 58.67/58.73 [105]~P7(x1051,x1053)+P9(x1051,x1052)+~E(x1053,f25(x1052))
% 58.67/58.73 [158]~P7(f21(x1581,x1582,x1583),x1583)+~P7(f21(x1581,x1582,x1583),x1581)+E(x1581,f26(x1582,x1583))
% 58.67/58.73 [159]~P7(f21(x1591,x1592,x1593),x1592)+~P7(f21(x1591,x1592,x1593),x1591)+E(x1591,f26(x1592,x1593))
% 58.67/58.73 [160]~P13(x1601,x1603,x1602)+~P13(x1601,x1604,x1603)+P5(x1601,x1602,x1603,x1604)
% 58.67/58.73 [161]~P13(x1611,x1613,x1614)+~P13(x1611,x1612,x1613)+P5(x1611,x1612,x1613,x1614)
% 58.67/58.73 [163]~P5(x1631,x1632,x1633,x1634)+P13(x1631,x1632,x1633)+P13(x1631,x1634,x1633)
% 58.67/58.73 [164]P13(x1641,x1643,x1642)+P13(x1641,x1642,x1643)+~P5(x1641,x1644,x1642,x1643)
% 58.67/58.73 [165]P13(x1651,x1653,x1652)+P13(x1651,x1652,x1653)+~P5(x1651,x1652,x1653,x1654)
% 58.67/58.73 [166]~P5(x1661,x1664,x1662,x1663)+P13(x1661,x1662,x1663)+P13(x1661,x1662,x1664)
% 58.67/58.73 [111]~P7(x1111,x1114)+P7(x1111,x1112)+~E(x1112,f26(x1113,x1114))
% 58.67/58.73 [112]~P7(x1121,x1123)+P7(x1121,x1122)+~E(x1122,f26(x1123,x1124))
% 58.67/58.73 [171]~P9(x1711,x1715)+~P5(x1715,x1712,x1713,x1714)+P7(x1711,f12(x1712,x1713,x1714,x1715))
% 58.67/58.73 [173]P9(x1731,x1732)+~P5(x1732,x1733,x1734,x1735)+~P7(x1731,f12(x1733,x1734,x1735,x1732))
% 58.67/58.73 [133]~P9(x1332,x1333)+~P8(x1331,x1333)+E(x1331,x1332)+P13(x1333,x1332,x1331)
% 58.67/58.73 [134]~P11(x1341,x1343)+~P9(x1342,x1343)+E(x1341,x1342)+P13(x1343,x1341,x1342)
% 58.67/58.73 [150]~P7(x1501,x1503)+~P7(x1501,x1502)+P10(x1501,x1502,x1503)+P7(f23(x1501,x1502,x1503),x1503)
% 58.67/58.73 [151]~P7(x1511,x1513)+~P7(x1511,x1512)+P10(x1511,x1512,x1513)+P7(f23(x1511,x1512,x1513),x1512)
% 58.67/58.73 [156]P7(f21(x1561,x1562,x1563),x1563)+P7(f21(x1561,x1562,x1563),x1562)+P7(f21(x1561,x1562,x1563),x1561)+E(x1561,f26(x1562,x1563))
% 58.67/58.73 [142]~P7(x1421,x1422)+P6(x1421,x1422)+~P10(x1424,x1423,x1422)+~P7(x1421,x1423)
% 58.67/58.73 [143]~P7(x1431,x1432)+P6(x1431,x1432)+~P10(x1434,x1432,x1433)+~P7(x1431,x1433)
% 58.67/58.73 [117]~P7(x1171,x1174)+P7(x1171,x1172)+P7(x1171,x1173)+~E(x1174,f26(x1173,x1172))
% 58.67/58.73 [174]~P4(x1745,x1742,x1743,x1744)+P5(x1741,x1742,x1743,x1744)+P7(f13(x1742,x1743,x1744,x1741,x1745),x1745)+P9(f13(x1742,x1743,x1744,x1741,x1745),x1741)
% 58.67/58.73 [175]P5(x1751,x1752,x1753,x1754)+~P4(x1755,x1752,x1753,x1754)+~P7(f13(x1752,x1753,x1754,x1751,x1755),x1755)+~P9(f13(x1752,x1753,x1754,x1751,x1755),x1751)
% 58.67/58.73 [149]~P1(x1493)+~P7(x1492,x1493)+~P7(x1491,x1493)+E(x1491,x1492)+P13(f17(x1491,x1492,x1493),x1491,x1492)
% 58.67/58.74 [162]~P7(x1621,x1623)+~P7(x1621,x1622)+P10(x1621,x1622,x1623)+~P6(f23(x1621,x1622,x1623),x1623)+~P6(f23(x1621,x1622,x1623),x1622)
% 58.67/58.74 [146]~P3(x1464)+~P6(x1461,x1462)+P10(x1461,x1462,x1463)+~P10(x1465,x1462,x1463)+~E(x1464,f26(x1462,x1463))
% 58.67/58.74 [116]E(x1163,x1161)+~P6(x1161,x1164)+~P6(x1163,x1164)+E(x1161,x1162)+E(x1163,x1162)+~P6(x1162,x1164)
% 58.67/58.74 [147]~P1(x1474)+~P7(x1472,x1474)+~P7(x1471,x1474)+~P7(x1473,x1474)+E(x1471,x1472)+P9(x1473,f17(x1471,x1472,x1474))
% 58.67/58.74 [153]~P1(x1534)+~P7(x1532,x1534)+~P7(x1531,x1534)+E(x1531,x1532)+P7(x1533,x1534)+~P9(x1533,f17(x1531,x1532,x1534))
% 58.67/58.74 [155]~P6(x1552,x1555)+~P6(x1551,x1555)+~P2(x1554,x1555)+E(x1551,x1552)+P4(x1553,x1551,x1554,x1552)+~P12(x1555,x1553)
% 58.67/58.74 [141]P12(x1412,x1411)+~P12(x1412,x1413)+~P7(x1414,x1412)+~P6(x1414,x1413)+P12(x1411,x1412)+~P12(x1411,x1413)+~P7(x1414,x1411)
% 58.67/58.74 [152]P12(x1522,x1521)+P12(x1522,x1523)+P12(x1523,x1521)+P12(x1523,x1522)+~P12(x1522,x1524)+~P12(x1523,x1524)+~P6(x1525,x1522)+~P6(x1525,x1523)+P12(x1521,x1522)+P12(x1521,x1523)+~P12(x1521,x1524)+~P6(x1525,x1521)
% 58.67/58.74 %EqnAxiom
% 58.67/58.74 [1]E(x11,x11)
% 58.67/58.74 [2]E(x22,x21)+~E(x21,x22)
% 58.67/58.74 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 58.67/58.74 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 58.67/58.74 [5]~E(x51,x52)+E(f9(x51),f9(x52))
% 58.67/58.74 [6]~E(x61,x62)+E(f10(x61),f10(x62))
% 58.67/58.74 [7]~E(x71,x72)+E(f14(x71),f14(x72))
% 58.67/58.74 [8]~E(x81,x82)+E(f24(x81),f24(x82))
% 58.67/58.74 [9]~E(x91,x92)+E(f13(x91,x93,x94,x95,x96),f13(x92,x93,x94,x95,x96))
% 58.67/58.74 [10]~E(x101,x102)+E(f13(x103,x101,x104,x105,x106),f13(x103,x102,x104,x105,x106))
% 58.67/58.74 [11]~E(x111,x112)+E(f13(x113,x114,x111,x115,x116),f13(x113,x114,x112,x115,x116))
% 58.67/58.74 [12]~E(x121,x122)+E(f13(x123,x124,x125,x121,x126),f13(x123,x124,x125,x122,x126))
% 58.67/58.74 [13]~E(x131,x132)+E(f13(x133,x134,x135,x136,x131),f13(x133,x134,x135,x136,x132))
% 58.67/58.74 [14]~E(x141,x142)+E(f25(x141),f25(x142))
% 58.67/58.74 [15]~E(x151,x152)+E(f12(x151,x153,x154,x155),f12(x152,x153,x154,x155))
% 58.67/58.74 [16]~E(x161,x162)+E(f12(x163,x161,x164,x165),f12(x163,x162,x164,x165))
% 58.67/58.74 [17]~E(x171,x172)+E(f12(x173,x174,x171,x175),f12(x173,x174,x172,x175))
% 58.67/58.74 [18]~E(x181,x182)+E(f12(x183,x184,x185,x181),f12(x183,x184,x185,x182))
% 58.67/58.74 [19]~E(x191,x192)+E(f2(x191,x193),f2(x192,x193))
% 58.67/58.74 [20]~E(x201,x202)+E(f2(x203,x201),f2(x203,x202))
% 58.67/58.74 [21]~E(x211,x212)+E(f7(x211,x213,x214,x215),f7(x212,x213,x214,x215))
% 58.67/58.74 [22]~E(x221,x222)+E(f7(x223,x221,x224,x225),f7(x223,x222,x224,x225))
% 58.67/58.74 [23]~E(x231,x232)+E(f7(x233,x234,x231,x235),f7(x233,x234,x232,x235))
% 58.67/58.74 [24]~E(x241,x242)+E(f7(x243,x244,x245,x241),f7(x243,x244,x245,x242))
% 58.67/58.74 [25]~E(x251,x252)+E(f11(x251,x253),f11(x252,x253))
% 58.67/58.74 [26]~E(x261,x262)+E(f11(x263,x261),f11(x263,x262))
% 58.67/58.74 [27]~E(x271,x272)+E(f26(x271,x273),f26(x272,x273))
% 58.67/58.74 [28]~E(x281,x282)+E(f26(x283,x281),f26(x283,x282))
% 58.67/58.74 [29]~E(x291,x292)+E(f21(x291,x293,x294),f21(x292,x293,x294))
% 58.67/58.74 [30]~E(x301,x302)+E(f21(x303,x301,x304),f21(x303,x302,x304))
% 58.67/58.74 [31]~E(x311,x312)+E(f21(x313,x314,x311),f21(x313,x314,x312))
% 58.67/58.74 [32]~E(x321,x322)+E(f4(x321,x323),f4(x322,x323))
% 58.67/58.74 [33]~E(x331,x332)+E(f4(x333,x331),f4(x333,x332))
% 58.67/58.74 [34]~E(x341,x342)+E(f8(x341,x343),f8(x342,x343))
% 58.67/58.74 [35]~E(x351,x352)+E(f8(x353,x351),f8(x353,x352))
% 58.67/58.74 [36]~E(x361,x362)+E(f23(x361,x363,x364),f23(x362,x363,x364))
% 58.67/58.74 [37]~E(x371,x372)+E(f23(x373,x371,x374),f23(x373,x372,x374))
% 58.67/58.74 [38]~E(x381,x382)+E(f23(x383,x384,x381),f23(x383,x384,x382))
% 58.67/58.74 [39]~E(x391,x392)+E(f19(x391,x393),f19(x392,x393))
% 58.67/58.74 [40]~E(x401,x402)+E(f19(x403,x401),f19(x403,x402))
% 58.67/58.74 [41]~E(x411,x412)+E(f15(x411,x413),f15(x412,x413))
% 58.67/58.74 [42]~E(x421,x422)+E(f15(x423,x421),f15(x423,x422))
% 58.67/58.74 [43]~E(x431,x432)+E(f22(x431,x433),f22(x432,x433))
% 58.67/58.74 [44]~E(x441,x442)+E(f22(x443,x441),f22(x443,x442))
% 58.67/58.74 [45]~E(x451,x452)+E(f16(x451,x453),f16(x452,x453))
% 58.67/58.74 [46]~E(x461,x462)+E(f16(x463,x461),f16(x463,x462))
% 58.67/58.74 [47]~E(x471,x472)+E(f17(x471,x473,x474),f17(x472,x473,x474))
% 58.67/58.74 [48]~E(x481,x482)+E(f17(x483,x481,x484),f17(x483,x482,x484))
% 58.67/58.74 [49]~E(x491,x492)+E(f17(x493,x494,x491),f17(x493,x494,x492))
% 58.67/58.74 [50]~E(x501,x502)+E(f5(x501,x503),f5(x502,x503))
% 58.67/58.74 [51]~E(x511,x512)+E(f5(x513,x511),f5(x513,x512))
% 58.67/58.74 [52]~E(x521,x522)+E(f18(x521,x523),f18(x522,x523))
% 58.67/58.74 [53]~E(x531,x532)+E(f18(x533,x531),f18(x533,x532))
% 58.67/58.74 [54]~E(x541,x542)+E(f3(x541,x543),f3(x542,x543))
% 58.67/58.74 [55]~E(x551,x552)+E(f3(x553,x551),f3(x553,x552))
% 58.67/58.74 [56]~E(x561,x562)+E(f27(x561,x563),f27(x562,x563))
% 58.67/58.74 [57]~E(x571,x572)+E(f27(x573,x571),f27(x573,x572))
% 58.67/58.74 [58]~E(x581,x582)+E(f6(x581,x583),f6(x582,x583))
% 58.67/58.74 [59]~E(x591,x592)+E(f6(x593,x591),f6(x593,x592))
% 58.67/58.74 [60]~P1(x601)+P1(x602)+~E(x601,x602)
% 58.67/58.74 [61]P2(x612,x613)+~E(x611,x612)+~P2(x611,x613)
% 58.67/58.74 [62]P2(x623,x622)+~E(x621,x622)+~P2(x623,x621)
% 58.67/58.74 [63]P11(x632,x633)+~E(x631,x632)+~P11(x631,x633)
% 58.67/58.74 [64]P11(x643,x642)+~E(x641,x642)+~P11(x643,x641)
% 58.67/58.74 [65]~P3(x651)+P3(x652)+~E(x651,x652)
% 58.67/58.74 [66]P6(x662,x663)+~E(x661,x662)+~P6(x661,x663)
% 58.67/58.74 [67]P6(x673,x672)+~E(x671,x672)+~P6(x673,x671)
% 58.67/58.74 [68]P9(x682,x683)+~E(x681,x682)+~P9(x681,x683)
% 58.67/58.74 [69]P9(x693,x692)+~E(x691,x692)+~P9(x693,x691)
% 58.67/58.74 [70]P4(x702,x703,x704,x705)+~E(x701,x702)+~P4(x701,x703,x704,x705)
% 58.67/58.74 [71]P4(x713,x712,x714,x715)+~E(x711,x712)+~P4(x713,x711,x714,x715)
% 58.67/58.74 [72]P4(x723,x724,x722,x725)+~E(x721,x722)+~P4(x723,x724,x721,x725)
% 58.67/58.74 [73]P4(x733,x734,x735,x732)+~E(x731,x732)+~P4(x733,x734,x735,x731)
% 58.67/58.74 [74]P12(x742,x743)+~E(x741,x742)+~P12(x741,x743)
% 58.67/58.74 [75]P12(x753,x752)+~E(x751,x752)+~P12(x753,x751)
% 58.67/58.74 [76]P7(x762,x763)+~E(x761,x762)+~P7(x761,x763)
% 58.67/58.74 [77]P7(x773,x772)+~E(x771,x772)+~P7(x773,x771)
% 58.67/58.74 [78]P13(x782,x783,x784)+~E(x781,x782)+~P13(x781,x783,x784)
% 58.67/58.74 [79]P13(x793,x792,x794)+~E(x791,x792)+~P13(x793,x791,x794)
% 58.67/58.74 [80]P13(x803,x804,x802)+~E(x801,x802)+~P13(x803,x804,x801)
% 58.67/58.74 [81]P8(x812,x813)+~E(x811,x812)+~P8(x811,x813)
% 58.67/58.74 [82]P8(x823,x822)+~E(x821,x822)+~P8(x823,x821)
% 58.67/58.74 [83]P10(x832,x833,x834)+~E(x831,x832)+~P10(x831,x833,x834)
% 58.67/58.74 [84]P10(x843,x842,x844)+~E(x841,x842)+~P10(x843,x841,x844)
% 58.67/58.74 [85]P10(x853,x854,x852)+~E(x851,x852)+~P10(x853,x854,x851)
% 58.67/58.74 [86]P5(x862,x863,x864,x865)+~E(x861,x862)+~P5(x861,x863,x864,x865)
% 58.67/58.74 [87]P5(x873,x872,x874,x875)+~E(x871,x872)+~P5(x873,x871,x874,x875)
% 58.67/58.74 [88]P5(x883,x884,x882,x885)+~E(x881,x882)+~P5(x883,x884,x881,x885)
% 58.67/58.74 [89]P5(x893,x894,x895,x892)+~E(x891,x892)+~P5(x893,x894,x895,x891)
% 58.67/58.74
% 58.67/58.74 %-------------------------------------------
% 58.67/58.74 cnf(176,plain,
% 58.67/58.74 (~P9(x1761,x1762)+P7(x1761,f25(x1762))),
% 58.67/58.74 inference(equality_inference,[],[104])).
% 58.67/58.74 cnf(177,plain,
% 58.67/58.74 (~P7(x1771,f25(x1772))+P9(x1771,x1772)),
% 58.67/58.74 inference(equality_inference,[],[105])).
% 58.67/58.74 cnf(178,plain,
% 58.67/58.74 (~P7(x1781,x1782)+P7(x1781,f26(x1783,x1782))),
% 58.67/58.74 inference(equality_inference,[],[111])).
% 58.67/58.74 cnf(179,plain,
% 58.67/58.74 (~P7(x1791,x1792)+P7(x1791,f26(x1792,x1793))),
% 58.67/58.74 inference(equality_inference,[],[112])).
% 58.67/58.74 cnf(180,plain,
% 58.67/58.74 (~P7(x1801,f26(x1802,x1803))+P7(x1801,x1803)+P7(x1801,x1802)),
% 58.67/58.74 inference(equality_inference,[],[117])).
% 58.67/58.74 cnf(182,plain,
% 58.67/58.74 (~P4(x1822,x1821,x1823,x1821)),
% 58.67/58.74 inference(equality_inference,[],[157])).
% 58.67/58.74 cnf(186,plain,
% 58.67/58.74 (P2(x1861,x1862)+~E(f9(x1862),x1861)),
% 58.67/58.74 inference(scs_inference,[],[182,91,172,61])).
% 58.67/58.74 cnf(188,plain,
% 58.67/58.74 (P11(x1881,x1882)+~E(f10(x1882),x1881)),
% 58.67/58.74 inference(scs_inference,[],[182,91,92,172,61,62,63])).
% 58.67/58.74 cnf(196,plain,
% 58.67/58.74 (~P6(x1961,x1962)+P6(f24(x1962),x1962)),
% 58.67/58.74 inference(scs_inference,[],[94,95])).
% 58.67/58.74 cnf(199,plain,
% 58.67/58.74 (~P6(x1991,f1(x1992))+P9(x1991,x1992)),
% 58.67/58.74 inference(scs_inference,[],[98,107])).
% 58.67/58.74 cnf(200,plain,
% 58.67/58.74 (P9(f9(f25(x2001)),x2001)),
% 58.67/58.74 inference(scs_inference,[],[91,99,177])).
% 58.67/58.74 cnf(201,plain,
% 58.67/58.74 (P9(x2011,x2012)+~E(f9(f25(x2012)),x2011)),
% 58.67/58.74 inference(scs_inference,[],[200,68])).
% 58.67/58.74 cnf(208,plain,
% 58.67/58.74 (P7(f10(x2081),f1(x2081))),
% 58.67/58.74 inference(scs_inference,[],[92,100,102])).
% 58.67/58.74 cnf(213,plain,
% 58.67/58.74 (P9(f10(x2131),x2131)),
% 58.67/58.74 inference(scs_inference,[],[208,178,179,107])).
% 58.67/58.74 cnf(236,plain,
% 58.67/58.74 (P9(x2361,x2362)+~E(f10(x2362),x2361)),
% 58.67/58.74 inference(scs_inference,[],[213,68])).
% 58.67/58.74 cnf(255,plain,
% 58.67/58.74 (~P13(a20,x2551,x2552)+E(f1(x2551),f1(x2552))),
% 58.67/58.74 inference(scs_inference,[],[127,4])).
% 58.67/58.74 cnf(259,plain,
% 58.67/58.74 (P7(x2591,f25(x2592))+~P13(x2592,x2591,x2593)),
% 58.67/58.74 inference(scs_inference,[],[132,176])).
% 58.67/58.74 cnf(260,plain,
% 58.67/58.74 (~P6(x2601,x2602)+~P2(f24(x2602),x2602)),
% 58.67/58.74 inference(scs_inference,[],[196,103])).
% 58.67/58.74 cnf(262,plain,
% 58.67/58.74 (P7(x2621,f25(x2622))+~P6(x2621,f1(x2622))),
% 58.67/58.74 inference(scs_inference,[],[199,176])).
% 58.67/58.74 cnf(264,plain,
% 58.67/58.74 (~E(f9(x2641),f24(x2641))+~P6(x2642,x2641)),
% 58.67/58.74 inference(scs_inference,[],[260,186])).
% 58.67/58.74 cnf(275,plain,
% 58.67/58.74 (P7(f24(f1(x2751)),f25(x2751))),
% 58.67/58.74 inference(scs_inference,[],[90,262,95])).
% 58.67/58.74 cnf(285,plain,
% 58.67/58.74 (~E(f24(x2851),f9(x2851))+~P6(x2852,x2851)),
% 58.67/58.74 inference(scs_inference,[],[264,2])).
% 58.67/58.74 cnf(300,plain,
% 58.67/58.74 (P7(x3001,f25(x3002))+~E(f24(f1(x3002)),x3001)),
% 58.67/58.74 inference(scs_inference,[],[275,76])).
% 58.67/58.74 cnf(340,plain,
% 58.67/58.74 (~P6(x3401,x3402)+~P13(a20,f24(x3402),f9(x3402))),
% 58.67/58.74 inference(scs_inference,[],[285,127])).
% 58.67/58.74 cnf(341,plain,
% 58.67/58.74 (P2(f9(f1(x3411)),f1(x3412))+~P13(a20,x3411,x3412)),
% 58.67/58.74 inference(scs_inference,[],[91,255,62])).
% 58.67/58.74 cnf(344,plain,
% 58.67/58.74 (~P13(a20,f24(f1(x3441)),f9(f1(x3441)))),
% 58.67/58.74 inference(scs_inference,[],[90,340,95])).
% 58.67/58.74 cnf(345,plain,
% 58.67/58.74 (~P5(a20,x3451,f24(f1(x3452)),f9(f1(x3452)))+P13(a20,f9(f1(x3452)),f24(f1(x3452)))),
% 58.67/58.74 inference(scs_inference,[],[344,164])).
% 58.67/58.74 cnf(347,plain,
% 58.67/58.74 (~P5(a20,f24(f1(x3471)),f9(f1(x3471)),x3472)+P13(a20,f9(f1(x3471)),f24(f1(x3471)))),
% 58.67/58.74 inference(scs_inference,[],[344,164,165])).
% 58.67/58.74 cnf(381,plain,
% 58.67/58.74 (P7(f9(f1(x3811)),f1(x3812))+~P13(a20,x3811,x3812)),
% 58.67/58.74 inference(scs_inference,[],[341,99])).
% 58.67/58.74 cnf(383,plain,
% 58.67/58.74 (P9(f9(f1(x3831)),x3832)+~P13(a20,x3831,x3832)),
% 58.67/58.74 inference(scs_inference,[],[381,107])).
% 58.67/58.74 cnf(477,plain,
% 58.67/58.74 (~P5(a20,x4771,f9(f1(x4772)),x4773)+~E(x4771,f24(f1(x4772)))+P13(a20,f9(f1(x4772)),f24(f1(x4772)))),
% 58.67/58.74 inference(scs_inference,[],[347,87])).
% 58.67/58.74 cnf(531,plain,
% 58.67/58.74 (P2(f9(x5311),f25(x5312))+P7(f16(x5311,x5312),x5311)+P9(f16(x5311,x5312),x5312)),
% 58.67/58.74 inference(scs_inference,[],[91,126,62])).
% 58.67/58.74 cnf(538,plain,
% 58.67/58.74 (P9(f16(f1(x5381),x5382),x5382)+P2(f9(f1(x5381)),f25(x5382))+P9(f16(f1(x5381),x5382),x5381)),
% 58.67/58.74 inference(scs_inference,[],[531,107])).
% 58.67/58.74 cnf(611,plain,
% 58.67/58.74 (~P3(f1(x6111))),
% 58.67/58.74 inference(scs_inference,[],[90,97,95])).
% 58.67/58.74 cnf(761,plain,
% 58.67/58.74 (~E(x7611,f9(x7612))+P2(x7611,x7612)),
% 58.67/58.74 inference(scs_inference,[],[2,186])).
% 58.67/58.74 cnf(769,plain,
% 58.67/58.74 (~E(x7691,f9(f25(x7692)))+P9(x7691,x7692)),
% 58.67/58.74 inference(scs_inference,[],[2,201])).
% 58.67/58.74 cnf(789,plain,
% 58.67/58.74 (~E(x7891,f10(x7892))+P9(x7891,x7892)),
% 58.67/58.74 inference(scs_inference,[],[2,236])).
% 58.67/58.74 cnf(804,plain,
% 58.67/58.74 (E(x8041,x8042)+~P13(a20,x8042,x8041)),
% 58.67/58.74 inference(scs_inference,[],[2,127])).
% 58.67/58.74 cnf(816,plain,
% 58.67/58.74 (~E(x8161,f24(f1(x8162)))+P7(x8161,f25(x8162))),
% 58.67/58.74 inference(scs_inference,[],[2,300])).
% 58.67/58.74 cnf(866,plain,
% 58.67/58.74 (~E(f25(x8661),x8662)+P7(f9(f25(x8661)),x8662)),
% 58.67/58.74 inference(scs_inference,[],[200,2,104])).
% 58.67/58.74 cnf(867,plain,
% 58.67/58.74 (P7(f9(f25(x8671)),f25(x8671))),
% 58.67/58.74 inference(equality_inference,[],[866])).
% 58.67/58.74 cnf(883,plain,
% 58.67/58.74 (P7(x8831,f25(x8832))+~E(f9(f25(x8832)),x8831)),
% 58.67/58.74 inference(scs_inference,[],[867,76])).
% 58.67/58.74 cnf(985,plain,
% 58.67/58.74 (~E(f25(x9851),x9852)+P7(f10(x9851),x9852)),
% 58.67/58.74 inference(scs_inference,[],[213,2,104])).
% 58.67/58.74 cnf(986,plain,
% 58.67/58.74 (P7(f10(x9861),f25(x9861))),
% 58.67/58.74 inference(equality_inference,[],[985])).
% 58.67/58.74 cnf(1216,plain,
% 58.67/58.74 (~E(f25(x12161),f25(x12162))+P9(f24(f1(x12162)),x12161)),
% 58.67/58.74 inference(scs_inference,[],[275,2,105])).
% 58.67/58.74 cnf(1217,plain,
% 58.67/58.74 (P9(f24(f1(x12171)),x12171)),
% 58.67/58.74 inference(equality_inference,[],[1216])).
% 58.67/58.74 cnf(1229,plain,
% 58.67/58.74 (P7(f14(f1(x12291)),f1(x12291))),
% 58.67/58.74 inference(scs_inference,[],[611,93,98])).
% 58.67/58.74 cnf(1230,plain,
% 58.67/58.74 (P9(f14(f1(x12301)),x12301)),
% 58.67/58.74 inference(scs_inference,[],[1229,107])).
% 58.67/58.74 cnf(1338,plain,
% 58.67/58.74 (~P2(f14(f1(x13381)),f1(x13381))),
% 58.67/58.74 inference(scs_inference,[],[611,93,103])).
% 58.67/58.74 cnf(1339,plain,
% 58.67/58.74 (~E(f14(f1(x13391)),f9(f1(x13391)))),
% 58.67/58.74 inference(scs_inference,[],[1338,761])).
% 58.67/58.74 cnf(1340,plain,
% 58.67/58.74 (~E(f9(f1(x13401)),f14(f1(x13401)))),
% 58.67/58.74 inference(scs_inference,[],[91,1338,761,61])).
% 58.67/58.74 cnf(1342,plain,
% 58.67/58.74 (P6(f14(f1(x13421)),f1(x13421))),
% 58.67/58.74 inference(scs_inference,[],[91,1229,1338,761,61,108])).
% 58.67/58.74 cnf(1403,plain,
% 58.67/58.74 (P13(x14031,f9(f1(x14031)),f14(f1(x14031)))+~P11(f9(f1(x14031)),x14031)),
% 58.67/58.74 inference(scs_inference,[],[1340,1230,134])).
% 58.67/58.74 cnf(3288,plain,
% 58.67/58.74 (~E(f10(x32881),f9(f1(x32881)))+P13(x32881,f9(f1(x32881)),f14(f1(x32881)))),
% 58.67/58.74 inference(scs_inference,[],[1403,188])).
% 58.67/58.74 cnf(3743,plain,
% 58.67/58.74 (~E(f10(a20),f9(f1(a20)))),
% 58.67/58.75 inference(scs_inference,[],[1339,3288,804])).
% 58.67/58.75 cnf(3754,plain,
% 58.67/58.75 (P13(a20,f10(a20),f9(f1(a20)))+~P7(f9(f1(a20)),f25(a20))),
% 58.67/58.75 inference(scs_inference,[],[3743,92,134,177])).
% 58.67/58.75 cnf(3756,plain,
% 58.67/58.75 (P13(a20,f10(a20),f9(f1(a20)))+~P13(a20,f9(f1(a20)),x37561)),
% 58.67/58.75 inference(scs_inference,[],[3743,92,134,177,259])).
% 58.67/58.75 cnf(3766,plain,
% 58.67/58.75 (P13(a20,f10(a20),f9(f1(a20)))+~E(f1(a20),f25(a20))),
% 58.67/58.75 inference(scs_inference,[],[3743,92,134,177,259,345,347,769,789,816,883,5])).
% 58.67/58.75 cnf(3767,plain,
% 58.67/58.75 (P13(a20,f10(a20),f9(f1(a20)))+~P6(f9(f1(a20)),f25(a20))),
% 58.67/58.75 inference(scs_inference,[],[3743,92,134,177,259,345,347,769,789,816,883,5,98])).
% 58.67/58.75 cnf(3769,plain,
% 58.67/58.75 (P13(a20,f10(a20),f9(f1(a20)))+~P2(f9(f1(a20)),f25(a20))),
% 58.67/58.75 inference(scs_inference,[],[3743,92,134,177,259,345,347,769,789,816,883,5,98,99])).
% 58.67/58.75 cnf(3771,plain,
% 58.67/58.75 (P13(a20,f10(a20),f9(f1(a20)))+~P11(f9(f1(a20)),a20)),
% 58.67/58.75 inference(scs_inference,[],[3743,92,134,177,259,345,347,769,789,816,883,5,98,99,100])).
% 58.67/58.75 cnf(3775,plain,
% 58.67/58.75 (P13(a20,f10(a20),f9(f1(a20)))+~P10(f9(f1(a20)),x37751,f25(a20))),
% 58.67/58.75 inference(scs_inference,[],[3743,92,134,177,259,345,347,769,789,816,883,5,98,99,100,101,129])).
% 58.67/58.75 cnf(3777,plain,
% 58.67/58.75 (P13(a20,f10(a20),f9(f1(a20)))+~P10(f9(f1(a20)),f25(a20),x37771)),
% 58.67/58.75 inference(scs_inference,[],[3743,92,134,177,259,345,347,769,789,816,883,5,98,99,100,101,129,130])).
% 58.67/58.75 cnf(3779,plain,
% 58.67/58.75 (P13(a20,f10(a20),f9(f1(a20)))+~P13(a20,x37791,f9(f1(a20)))),
% 58.67/58.75 inference(scs_inference,[],[3743,92,134,177,259,345,347,769,789,816,883,5,98,99,100,101,129,130,131])).
% 58.67/58.75 cnf(3785,plain,
% 58.67/58.75 (P13(a20,f10(a20),f9(f1(a20)))+P9(f16(f1(a20),a20),a20)),
% 58.67/58.75 inference(scs_inference,[],[3743,92,134,177,259,345,347,769,789,816,883,5,98,99,100,101,129,130,131,199,180,477,538])).
% 58.67/58.75 cnf(4066,plain,
% 58.67/58.75 (P7(f9(x40661),x40661)),
% 58.67/58.75 inference(scs_inference,[],[91,1217,3743,1342,90,2,95,102,260,127,99])).
% 58.67/58.75 cnf(4109,plain,
% 58.67/58.75 (~P7(f9(f1(a20)),f1(a20))),
% 58.67/58.75 inference(scs_inference,[],[91,1217,867,986,213,3743,92,1342,90,2,95,102,260,127,99,804,103,118,119,120,121,164,165,142,150,133,134,383,3766,3771,3756,3779,3754,3767,3769,3785,3775,3777,177,107])).
% 58.67/58.75 cnf(4122,plain,
% 58.67/58.75 ($false),
% 58.67/58.75 inference(scs_inference,[],[4066,4109]),
% 58.67/58.75 ['proof']).
% 58.67/58.75 % SZS output end Proof
% 58.67/58.75 % Total time :58.020000s
%------------------------------------------------------------------------------