TSTP Solution File: GEO117+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO117+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 : n015.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 0.20s 0.75s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO117+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 23:41:42 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 0.20/0.74 %-------------------------------------------
% 0.20/0.74 % File :CSE---1.6
% 0.20/0.74 % Problem :theBenchmark
% 0.20/0.74 % Transform :cnf
% 0.20/0.74 % Format :tptp:raw
% 0.20/0.74 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.74
% 0.20/0.74 % Result :Theorem 0.080000s
% 0.20/0.74 % Output :CNFRefutation 0.080000s
% 0.20/0.74 %-------------------------------------------
% 0.20/0.74 %--------------------------------------------------------------------------
% 0.20/0.74 % File : GEO117+1 : TPTP v8.1.2. Released v2.4.0.
% 0.20/0.74 % Domain : Geometry (Oriented curves)
% 0.20/0.74 % Problem : Precedence on oriented curves is irreflexive
% 0.20/0.74 % Version : [EHK99] axioms.
% 0.20/0.74 % English :
% 0.20/0.74
% 0.20/0.75 % Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv
% 0.20/0.75 % : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto
% 0.20/0.75 % Source : [KE99]
% 0.20/0.75 % Names : Theorem 4.4 [KE99]
% 0.20/0.75
% 0.20/0.75 % Status : Theorem
% 0.20/0.75 % Rating : 0.11 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.10 v7.1.0, 0.17 v7.0.0, 0.13 v6.4.0, 0.19 v6.3.0, 0.25 v6.2.0, 0.32 v6.1.0, 0.30 v6.0.0, 0.35 v5.5.0, 0.26 v5.4.0, 0.21 v5.3.0, 0.30 v5.2.0, 0.15 v5.1.0, 0.14 v5.0.0, 0.25 v4.1.0, 0.22 v4.0.0, 0.21 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
% 0.20/0.75 % Syntax : Number of formulae : 28 ( 3 unt; 0 def)
% 0.20/0.75 % Number of atoms : 113 ( 16 equ)
% 0.20/0.75 % Maximal formula atoms : 12 ( 4 avg)
% 0.20/0.75 % Number of connectives : 94 ( 9 ~; 10 |; 38 &)
% 0.20/0.75 % ( 20 <=>; 17 =>; 0 <=; 0 <~>)
% 0.20/0.75 % Maximal formula depth : 12 ( 7 avg)
% 0.20/0.75 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.75 % Number of predicates : 14 ( 13 usr; 0 prp; 1-4 aty)
% 0.20/0.75 % Number of functors : 2 ( 2 usr; 0 con; 1-2 aty)
% 0.20/0.75 % Number of variables : 96 ( 82 !; 14 ?)
% 0.20/0.75 % SPC : FOF_THM_RFO_SEQ
% 0.20/0.75
% 0.20/0.75 % Comments :
% 0.20/0.75 %--------------------------------------------------------------------------
% 0.20/0.75 %----Include simple curve axioms
% 0.20/0.75 include('Axioms/GEO004+0.ax').
% 0.20/0.75 %----Include axioms of betweenness for simple curves
% 0.20/0.75 include('Axioms/GEO004+1.ax').
% 0.20/0.75 %----Include oriented curve axioms
% 0.20/0.75 include('Axioms/GEO004+2.ax').
% 0.20/0.75 %--------------------------------------------------------------------------
% 0.20/0.75 fof(theorem_4_4,conjecture,
% 0.20/0.75 ! [O,P] : ~ ordered_by(O,P,P) ).
% 0.20/0.75
% 0.20/0.75 %--------------------------------------------------------------------------
% 0.20/0.75 %-------------------------------------------
% 0.20/0.75 % Proof found
% 0.20/0.75 % SZS status Theorem for theBenchmark
% 0.20/0.75 % SZS output start Proof
% 0.20/0.75 %ClaNum:175(EqnAxiom:89)
% 0.20/0.75 %VarNum:701(SingletonVarNum:245)
% 0.20/0.75 %MaxLitNum:12
% 0.20/0.75 %MaxfuncDepth:2
% 0.20/0.75 %SharedTerms:3
% 0.20/0.75 %goalClause: 93
% 0.20/0.75 %singleGoalClaCount:1
% 0.20/0.75 [93]P12(a14,a19,a19)
% 0.20/0.75 [90]P1(f1(x901))
% 0.20/0.75 [91]P2(f9(x911),x911)
% 0.20/0.75 [92]P11(f10(x921),x921)
% 0.20/0.75 [94]P3(x941)+P6(f20(x941),x941)
% 0.20/0.75 [96]~P1(x961)+P6(f25(x961),x961)
% 0.20/0.75 [95]P1(x951)+~P6(x952,x951)
% 0.20/0.75 [98]~P3(x981)+~P6(x982,x981)
% 0.20/0.75 [99]~P6(x991,x992)+P7(x991,x992)
% 0.20/0.75 [100]~P2(x1001,x1002)+P7(x1001,x1002)
% 0.20/0.75 [101]~P11(x1011,x1012)+P9(x1011,x1012)
% 0.20/0.75 [102]~P8(x1021,x1022)+P9(x1021,x1022)
% 0.20/0.75 [104]~P2(x1041,x1042)+~P6(x1041,x1042)
% 0.20/0.75 [103]~P9(x1031,x1032)+P7(x1031,f1(x1032))
% 0.20/0.75 [107]~P6(x1072,x1071)+~E(f2(x1071,x1072),x1072)
% 0.20/0.75 [108]P9(x1081,x1082)+~P7(x1081,f1(x1082))
% 0.20/0.75 [110]P13(x1101,x1102)+P7(f11(x1102,x1101),x1101)
% 0.20/0.75 [116]~P6(x1162,x1161)+P6(f2(x1161,x1162),x1161)
% 0.20/0.75 [125]P13(x1251,x1252)+~P7(f11(x1252,x1251),x1252)
% 0.20/0.75 [137]~P2(x1371,x1372)+P10(x1371,f28(x1372,x1371),f3(x1372,x1371))
% 0.20/0.75 [128]~P2(x1282,x1281)+E(f27(f28(x1281,x1282),f3(x1281,x1282)),x1281)
% 0.20/0.75 [129]P7(x1291,x1292)+~P10(x1291,x1293,x1292)
% 0.20/0.75 [130]P7(x1301,x1302)+~P10(x1301,x1302,x1303)
% 0.20/0.75 [131]P9(x1311,x1312)+~P12(x1312,x1313,x1311)
% 0.20/0.75 [132]P9(x1321,x1322)+~P12(x1322,x1321,x1323)
% 0.20/0.75 [135]~P10(x1353,x1351,x1352)+E(f6(x1351,x1352),f27(x1351,x1352))
% 0.20/0.75 [157]~E(x1571,x1572)+~P4(x1573,x1571,x1574,x1572)
% 0.20/0.75 [167]~P4(x1672,x1673,x1674,x1671)+P6(x1671,f7(x1672,x1673,x1674,x1671))
% 0.20/0.75 [168]~P4(x1682,x1681,x1683,x1684)+P6(x1681,f7(x1682,x1681,x1683,x1684))
% 0.20/0.75 [169]~P4(x1692,x1693,x1691,x1694)+P2(x1691,f7(x1692,x1693,x1691,x1694))
% 0.20/0.75 [170]~P4(x1701,x1702,x1703,x1704)+P13(f7(x1701,x1702,x1703,x1704),x1701)
% 0.20/0.75 [172]~P5(x1724,x1721,x1722,x1723)+P4(f12(x1721,x1722,x1723,x1724),x1721,x1722,x1723)
% 0.20/0.75 [97]P1(x971)+~P13(x971,x972)+E(x971,x972)
% 0.20/0.75 [109]P2(x1091,x1092)+~P7(x1091,x1092)+P6(x1091,x1092)
% 0.20/0.75 [114]~P9(x1141,x1142)+P11(x1141,x1142)+~E(f4(x1141,x1142),x1141)
% 0.20/0.75 [115]~P9(x1151,x1152)+P8(x1151,x1152)+~E(f8(x1151,x1152),x1151)
% 0.20/0.75 [119]~P7(x1191,x1192)+P6(x1191,x1192)+P7(x1191,f21(x1191,x1192))
% 0.20/0.75 [120]~P7(x1201,x1202)+P6(x1201,x1202)+P7(x1201,f23(x1201,x1202))
% 0.20/0.75 [121]~P7(x1211,x1212)+P6(x1211,x1212)+P13(f21(x1211,x1212),x1212)
% 0.20/0.75 [122]~P7(x1221,x1222)+P6(x1221,x1222)+P13(f23(x1221,x1222),x1222)
% 0.20/0.75 [123]~P9(x1231,x1232)+P11(x1231,x1232)+P9(f4(x1231,x1232),x1232)
% 0.20/0.75 [124]~P9(x1241,x1242)+P8(x1241,x1242)+P9(f8(x1241,x1242),x1242)
% 0.20/0.75 [126]E(x1261,x1262)+P7(f5(x1261,x1262),x1262)+P7(f5(x1261,x1262),x1261)
% 0.20/0.75 [127]P7(f15(x1271,x1272),x1271)+P9(f15(x1271,x1272),x1272)+E(x1271,f26(x1272))
% 0.20/0.75 [136]E(x1361,x1362)+~P7(f5(x1361,x1362),x1362)+~P7(f5(x1361,x1362),x1361)
% 0.20/0.75 [138]~P7(f15(x1381,x1382),x1381)+~P9(f15(x1381,x1382),x1382)+E(x1381,f26(x1382))
% 0.20/0.75 [139]~P7(x1391,x1392)+P6(x1391,x1392)+~P13(f21(x1391,x1392),f23(x1391,x1392))
% 0.20/0.75 [140]~P7(x1401,x1402)+P6(x1401,x1402)+~P13(f23(x1401,x1402),f21(x1401,x1402))
% 0.20/0.75 [144]~P9(x1441,x1442)+P11(x1441,x1442)+~P12(x1442,x1441,f4(x1441,x1442))
% 0.20/0.75 [145]~P9(x1451,x1452)+P8(x1451,x1452)+~P12(x1452,f8(x1451,x1452),x1451)
% 0.20/0.75 [148]E(x1481,x1482)+P12(x1482,f17(x1481,x1482),f18(x1481,x1482))+P12(x1481,f17(x1481,x1482),f18(x1481,x1482))
% 0.20/0.75 [154]E(x1541,x1542)+~P12(x1542,f17(x1541,x1542),f18(x1541,x1542))+~P12(x1541,f17(x1541,x1542),f18(x1541,x1542))
% 0.20/0.75 [111]~P7(x1111,x1113)+P7(x1111,x1112)+~P13(x1113,x1112)
% 0.20/0.75 [105]~P9(x1051,x1053)+P7(x1051,x1052)+~E(x1052,f26(x1053))
% 0.20/0.75 [106]~P7(x1061,x1063)+P9(x1061,x1062)+~E(x1063,f26(x1062))
% 0.20/0.75 [158]~P7(f22(x1581,x1582,x1583),x1583)+~P7(f22(x1581,x1582,x1583),x1581)+E(x1581,f27(x1582,x1583))
% 0.20/0.75 [159]~P7(f22(x1591,x1592,x1593),x1592)+~P7(f22(x1591,x1592,x1593),x1591)+E(x1591,f27(x1592,x1593))
% 0.20/0.75 [160]~P12(x1601,x1603,x1602)+~P12(x1601,x1604,x1603)+P5(x1601,x1602,x1603,x1604)
% 0.20/0.75 [161]~P12(x1611,x1613,x1614)+~P12(x1611,x1612,x1613)+P5(x1611,x1612,x1613,x1614)
% 0.20/0.75 [163]~P5(x1631,x1632,x1633,x1634)+P12(x1631,x1632,x1633)+P12(x1631,x1634,x1633)
% 0.20/0.75 [164]P12(x1641,x1643,x1642)+P12(x1641,x1642,x1643)+~P5(x1641,x1644,x1642,x1643)
% 0.20/0.75 [165]P12(x1651,x1653,x1652)+P12(x1651,x1652,x1653)+~P5(x1651,x1652,x1653,x1654)
% 0.20/0.75 [166]~P5(x1661,x1664,x1662,x1663)+P12(x1661,x1662,x1663)+P12(x1661,x1662,x1664)
% 0.20/0.75 [112]~P7(x1121,x1124)+P7(x1121,x1122)+~E(x1122,f27(x1123,x1124))
% 0.20/0.75 [113]~P7(x1131,x1133)+P7(x1131,x1132)+~E(x1132,f27(x1133,x1134))
% 0.20/0.75 [171]~P9(x1711,x1715)+~P5(x1715,x1712,x1713,x1714)+P7(x1711,f12(x1712,x1713,x1714,x1715))
% 0.20/0.75 [173]P9(x1731,x1732)+~P5(x1732,x1733,x1734,x1735)+~P7(x1731,f12(x1733,x1734,x1735,x1732))
% 0.20/0.75 [133]~P9(x1332,x1333)+~P8(x1331,x1333)+E(x1331,x1332)+P12(x1333,x1332,x1331)
% 0.20/0.75 [134]~P11(x1341,x1343)+~P9(x1342,x1343)+E(x1341,x1342)+P12(x1343,x1341,x1342)
% 0.20/0.75 [150]~P7(x1501,x1503)+~P7(x1501,x1502)+P10(x1501,x1502,x1503)+P7(f24(x1501,x1502,x1503),x1503)
% 0.20/0.75 [151]~P7(x1511,x1513)+~P7(x1511,x1512)+P10(x1511,x1512,x1513)+P7(f24(x1511,x1512,x1513),x1512)
% 0.20/0.75 [156]P7(f22(x1561,x1562,x1563),x1563)+P7(f22(x1561,x1562,x1563),x1562)+P7(f22(x1561,x1562,x1563),x1561)+E(x1561,f27(x1562,x1563))
% 0.20/0.75 [142]~P7(x1421,x1422)+P6(x1421,x1422)+~P10(x1424,x1423,x1422)+~P7(x1421,x1423)
% 0.20/0.75 [143]~P7(x1431,x1432)+P6(x1431,x1432)+~P10(x1434,x1432,x1433)+~P7(x1431,x1433)
% 0.20/0.75 [118]~P7(x1181,x1184)+P7(x1181,x1182)+P7(x1181,x1183)+~E(x1184,f27(x1183,x1182))
% 0.20/0.75 [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)
% 0.20/0.75 [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)
% 0.20/0.75 [149]~P1(x1493)+~P7(x1492,x1493)+~P7(x1491,x1493)+E(x1491,x1492)+P12(f16(x1491,x1492,x1493),x1491,x1492)
% 0.20/0.75 [162]~P7(x1621,x1623)+~P7(x1621,x1622)+P10(x1621,x1622,x1623)+~P6(f24(x1621,x1622,x1623),x1623)+~P6(f24(x1621,x1622,x1623),x1622)
% 0.20/0.75 [146]~P3(x1464)+~P6(x1461,x1462)+P10(x1461,x1462,x1463)+~P10(x1465,x1462,x1463)+~E(x1464,f27(x1462,x1463))
% 0.20/0.75 [117]E(x1173,x1171)+~P6(x1171,x1174)+~P6(x1173,x1174)+E(x1171,x1172)+E(x1173,x1172)+~P6(x1172,x1174)
% 0.20/0.75 [147]~P1(x1474)+~P7(x1472,x1474)+~P7(x1471,x1474)+~P7(x1473,x1474)+E(x1471,x1472)+P9(x1473,f16(x1471,x1472,x1474))
% 0.20/0.75 [153]~P1(x1534)+~P7(x1532,x1534)+~P7(x1531,x1534)+E(x1531,x1532)+P7(x1533,x1534)+~P9(x1533,f16(x1531,x1532,x1534))
% 0.20/0.75 [155]~P6(x1552,x1555)+~P6(x1551,x1555)+~P2(x1554,x1555)+E(x1551,x1552)+P4(x1553,x1551,x1554,x1552)+~P13(x1555,x1553)
% 0.20/0.75 [141]P13(x1412,x1411)+~P13(x1412,x1413)+~P7(x1414,x1412)+~P6(x1414,x1413)+P13(x1411,x1412)+~P13(x1411,x1413)+~P7(x1414,x1411)
% 0.20/0.75 [152]P13(x1522,x1521)+P13(x1522,x1523)+P13(x1523,x1521)+P13(x1523,x1522)+~P13(x1522,x1524)+~P13(x1523,x1524)+~P6(x1525,x1522)+~P6(x1525,x1523)+P13(x1521,x1522)+P13(x1521,x1523)+~P13(x1521,x1524)+~P6(x1525,x1521)
% 0.20/0.75 %EqnAxiom
% 0.20/0.75 [1]E(x11,x11)
% 0.20/0.75 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.75 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.75 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 0.20/0.75 [5]~E(x51,x52)+E(f9(x51),f9(x52))
% 0.20/0.75 [6]~E(x61,x62)+E(f10(x61),f10(x62))
% 0.20/0.75 [7]~E(x71,x72)+E(f20(x71),f20(x72))
% 0.20/0.75 [8]~E(x81,x82)+E(f25(x81),f25(x82))
% 0.20/0.75 [9]~E(x91,x92)+E(f13(x91,x93,x94,x95,x96),f13(x92,x93,x94,x95,x96))
% 0.20/0.75 [10]~E(x101,x102)+E(f13(x103,x101,x104,x105,x106),f13(x103,x102,x104,x105,x106))
% 0.20/0.75 [11]~E(x111,x112)+E(f13(x113,x114,x111,x115,x116),f13(x113,x114,x112,x115,x116))
% 0.20/0.75 [12]~E(x121,x122)+E(f13(x123,x124,x125,x121,x126),f13(x123,x124,x125,x122,x126))
% 0.20/0.75 [13]~E(x131,x132)+E(f13(x133,x134,x135,x136,x131),f13(x133,x134,x135,x136,x132))
% 0.20/0.75 [14]~E(x141,x142)+E(f26(x141),f26(x142))
% 0.20/0.75 [15]~E(x151,x152)+E(f12(x151,x153,x154,x155),f12(x152,x153,x154,x155))
% 0.20/0.75 [16]~E(x161,x162)+E(f12(x163,x161,x164,x165),f12(x163,x162,x164,x165))
% 0.20/0.75 [17]~E(x171,x172)+E(f12(x173,x174,x171,x175),f12(x173,x174,x172,x175))
% 0.20/0.75 [18]~E(x181,x182)+E(f12(x183,x184,x185,x181),f12(x183,x184,x185,x182))
% 0.20/0.75 [19]~E(x191,x192)+E(f2(x191,x193),f2(x192,x193))
% 0.20/0.75 [20]~E(x201,x202)+E(f2(x203,x201),f2(x203,x202))
% 0.20/0.75 [21]~E(x211,x212)+E(f7(x211,x213,x214,x215),f7(x212,x213,x214,x215))
% 0.20/0.75 [22]~E(x221,x222)+E(f7(x223,x221,x224,x225),f7(x223,x222,x224,x225))
% 0.20/0.75 [23]~E(x231,x232)+E(f7(x233,x234,x231,x235),f7(x233,x234,x232,x235))
% 0.20/0.75 [24]~E(x241,x242)+E(f7(x243,x244,x245,x241),f7(x243,x244,x245,x242))
% 0.20/0.75 [25]~E(x251,x252)+E(f11(x251,x253),f11(x252,x253))
% 0.20/0.75 [26]~E(x261,x262)+E(f11(x263,x261),f11(x263,x262))
% 0.20/0.75 [27]~E(x271,x272)+E(f27(x271,x273),f27(x272,x273))
% 0.20/0.75 [28]~E(x281,x282)+E(f27(x283,x281),f27(x283,x282))
% 0.20/0.75 [29]~E(x291,x292)+E(f22(x291,x293,x294),f22(x292,x293,x294))
% 0.20/0.75 [30]~E(x301,x302)+E(f22(x303,x301,x304),f22(x303,x302,x304))
% 0.20/0.75 [31]~E(x311,x312)+E(f22(x313,x314,x311),f22(x313,x314,x312))
% 0.20/0.75 [32]~E(x321,x322)+E(f4(x321,x323),f4(x322,x323))
% 0.20/0.75 [33]~E(x331,x332)+E(f4(x333,x331),f4(x333,x332))
% 0.20/0.75 [34]~E(x341,x342)+E(f8(x341,x343),f8(x342,x343))
% 0.20/0.75 [35]~E(x351,x352)+E(f8(x353,x351),f8(x353,x352))
% 0.20/0.75 [36]~E(x361,x362)+E(f24(x361,x363,x364),f24(x362,x363,x364))
% 0.20/0.75 [37]~E(x371,x372)+E(f24(x373,x371,x374),f24(x373,x372,x374))
% 0.20/0.76 [38]~E(x381,x382)+E(f24(x383,x384,x381),f24(x383,x384,x382))
% 0.20/0.76 [39]~E(x391,x392)+E(f18(x391,x393),f18(x392,x393))
% 0.20/0.76 [40]~E(x401,x402)+E(f18(x403,x401),f18(x403,x402))
% 0.20/0.76 [41]~E(x411,x412)+E(f21(x411,x413),f21(x412,x413))
% 0.20/0.76 [42]~E(x421,x422)+E(f21(x423,x421),f21(x423,x422))
% 0.20/0.76 [43]~E(x431,x432)+E(f23(x431,x433),f23(x432,x433))
% 0.20/0.76 [44]~E(x441,x442)+E(f23(x443,x441),f23(x443,x442))
% 0.20/0.76 [45]~E(x451,x452)+E(f15(x451,x453),f15(x452,x453))
% 0.20/0.76 [46]~E(x461,x462)+E(f15(x463,x461),f15(x463,x462))
% 0.20/0.76 [47]~E(x471,x472)+E(f16(x471,x473,x474),f16(x472,x473,x474))
% 0.20/0.76 [48]~E(x481,x482)+E(f16(x483,x481,x484),f16(x483,x482,x484))
% 0.20/0.76 [49]~E(x491,x492)+E(f16(x493,x494,x491),f16(x493,x494,x492))
% 0.20/0.76 [50]~E(x501,x502)+E(f5(x501,x503),f5(x502,x503))
% 0.20/0.76 [51]~E(x511,x512)+E(f5(x513,x511),f5(x513,x512))
% 0.20/0.76 [52]~E(x521,x522)+E(f17(x521,x523),f17(x522,x523))
% 0.20/0.76 [53]~E(x531,x532)+E(f17(x533,x531),f17(x533,x532))
% 0.20/0.76 [54]~E(x541,x542)+E(f3(x541,x543),f3(x542,x543))
% 0.20/0.76 [55]~E(x551,x552)+E(f3(x553,x551),f3(x553,x552))
% 0.20/0.76 [56]~E(x561,x562)+E(f28(x561,x563),f28(x562,x563))
% 0.20/0.76 [57]~E(x571,x572)+E(f28(x573,x571),f28(x573,x572))
% 0.20/0.76 [58]~E(x581,x582)+E(f6(x581,x583),f6(x582,x583))
% 0.20/0.76 [59]~E(x591,x592)+E(f6(x593,x591),f6(x593,x592))
% 0.20/0.76 [60]~P1(x601)+P1(x602)+~E(x601,x602)
% 0.20/0.76 [61]P2(x612,x613)+~E(x611,x612)+~P2(x611,x613)
% 0.20/0.76 [62]P2(x623,x622)+~E(x621,x622)+~P2(x623,x621)
% 0.20/0.76 [63]P11(x632,x633)+~E(x631,x632)+~P11(x631,x633)
% 0.20/0.76 [64]P11(x643,x642)+~E(x641,x642)+~P11(x643,x641)
% 0.20/0.76 [65]P12(x652,x653,x654)+~E(x651,x652)+~P12(x651,x653,x654)
% 0.20/0.76 [66]P12(x663,x662,x664)+~E(x661,x662)+~P12(x663,x661,x664)
% 0.20/0.76 [67]P12(x673,x674,x672)+~E(x671,x672)+~P12(x673,x674,x671)
% 0.20/0.76 [68]~P3(x681)+P3(x682)+~E(x681,x682)
% 0.20/0.76 [69]P6(x692,x693)+~E(x691,x692)+~P6(x691,x693)
% 0.20/0.76 [70]P6(x703,x702)+~E(x701,x702)+~P6(x703,x701)
% 0.20/0.76 [71]P9(x712,x713)+~E(x711,x712)+~P9(x711,x713)
% 0.20/0.76 [72]P9(x723,x722)+~E(x721,x722)+~P9(x723,x721)
% 0.20/0.76 [73]P5(x732,x733,x734,x735)+~E(x731,x732)+~P5(x731,x733,x734,x735)
% 0.20/0.76 [74]P5(x743,x742,x744,x745)+~E(x741,x742)+~P5(x743,x741,x744,x745)
% 0.20/0.76 [75]P5(x753,x754,x752,x755)+~E(x751,x752)+~P5(x753,x754,x751,x755)
% 0.20/0.76 [76]P5(x763,x764,x765,x762)+~E(x761,x762)+~P5(x763,x764,x765,x761)
% 0.20/0.76 [77]P7(x772,x773)+~E(x771,x772)+~P7(x771,x773)
% 0.20/0.76 [78]P7(x783,x782)+~E(x781,x782)+~P7(x783,x781)
% 0.20/0.76 [79]P13(x792,x793)+~E(x791,x792)+~P13(x791,x793)
% 0.20/0.76 [80]P13(x803,x802)+~E(x801,x802)+~P13(x803,x801)
% 0.20/0.76 [81]P4(x812,x813,x814,x815)+~E(x811,x812)+~P4(x811,x813,x814,x815)
% 0.20/0.76 [82]P4(x823,x822,x824,x825)+~E(x821,x822)+~P4(x823,x821,x824,x825)
% 0.20/0.76 [83]P4(x833,x834,x832,x835)+~E(x831,x832)+~P4(x833,x834,x831,x835)
% 0.20/0.76 [84]P4(x843,x844,x845,x842)+~E(x841,x842)+~P4(x843,x844,x845,x841)
% 0.20/0.76 [85]P8(x852,x853)+~E(x851,x852)+~P8(x851,x853)
% 0.20/0.76 [86]P8(x863,x862)+~E(x861,x862)+~P8(x863,x861)
% 0.20/0.76 [87]P10(x872,x873,x874)+~E(x871,x872)+~P10(x871,x873,x874)
% 0.20/0.76 [88]P10(x883,x882,x884)+~E(x881,x882)+~P10(x883,x881,x884)
% 0.20/0.76 [89]P10(x893,x894,x892)+~E(x891,x892)+~P10(x893,x894,x891)
% 0.20/0.76
% 0.20/0.76 %-------------------------------------------
% 0.20/0.76 cnf(177,plain,
% 0.20/0.76 (~P6(f9(x1771),x1771)),
% 0.20/0.76 inference(scs_inference,[],[93,91,132,104])).
% 0.20/0.76 cnf(180,plain,
% 0.20/0.76 (P7(f9(x1801),x1801)),
% 0.20/0.76 inference(scs_inference,[],[93,91,92,132,104,101,100])).
% 0.20/0.76 cnf(182,plain,
% 0.20/0.76 (P7(a19,f1(a14))),
% 0.20/0.76 inference(scs_inference,[],[93,91,92,132,104,101,100,103])).
% 0.20/0.76 cnf(184,plain,
% 0.20/0.76 (P6(f25(f1(x1841)),f1(x1841))),
% 0.20/0.76 inference(scs_inference,[],[93,91,92,90,132,104,101,100,103,96])).
% 0.20/0.76 cnf(186,plain,
% 0.20/0.76 (P10(f9(x1861),f28(x1861,f9(x1861)),f3(x1861,f9(x1861)))),
% 0.20/0.76 inference(scs_inference,[],[93,91,92,90,132,104,101,100,103,96,137])).
% 0.20/0.76 cnf(189,plain,
% 0.20/0.76 (~E(f25(f1(x1891)),f9(f1(x1891)))),
% 0.20/0.76 inference(scs_inference,[],[93,91,92,90,132,104,101,100,103,96,137,70,69])).
% 0.20/0.76 cnf(190,plain,
% 0.20/0.76 (P5(a14,a19,a19,a19)),
% 0.20/0.76 inference(scs_inference,[],[93,91,92,90,132,104,101,100,103,96,137,70,69,161])).
% 0.20/0.76 cnf(198,plain,
% 0.20/0.76 (~P10(x1981,f1(x1982),f1(x1982))),
% 0.20/0.76 inference(scs_inference,[],[93,91,92,90,132,104,101,100,103,96,137,70,69,161,122,121,171,143])).
% 0.20/0.76 cnf(202,plain,
% 0.20/0.76 (~P3(f1(x2021))),
% 0.20/0.76 inference(scs_inference,[],[93,91,92,90,132,104,101,100,103,96,137,70,69,161,122,121,171,143,151,98])).
% 0.20/0.76 cnf(234,plain,
% 0.20/0.76 (P2(a19,f7(f12(a19,a19,a19,a14),a19,a19,a19))),
% 0.20/0.76 inference(scs_inference,[],[184,189,202,190,2,99,94,172,170,169])).
% 0.20/0.76 cnf(236,plain,
% 0.20/0.76 (P6(a19,f7(f12(a19,a19,a19,a14),a19,a19,a19))),
% 0.20/0.76 inference(scs_inference,[],[184,189,202,190,2,99,94,172,170,169,168])).
% 0.20/0.76 cnf(239,plain,
% 0.20/0.76 (P7(f9(x2391),x2391)),
% 0.20/0.76 inference(rename_variables,[],[180])).
% 0.20/0.76 cnf(242,plain,
% 0.20/0.76 (P7(f9(x2421),x2421)),
% 0.20/0.76 inference(rename_variables,[],[180])).
% 0.20/0.76 cnf(247,plain,
% 0.20/0.76 (P7(f24(a19,f1(a14),f1(a14)),f1(a14))),
% 0.20/0.76 inference(scs_inference,[],[177,180,239,242,184,189,198,202,190,182,2,99,94,172,170,169,168,173,140,139,150])).
% 0.20/0.76 cnf(282,plain,
% 0.20/0.76 (~P6(f9(x2821),x2821)),
% 0.20/0.76 inference(rename_variables,[],[177])).
% 0.20/0.76 cnf(290,plain,
% 0.20/0.76 ($false),
% 0.20/0.76 inference(scs_inference,[],[236,247,234,180,198,186,177,282,130,129,95,119,143,70,150,104]),
% 0.20/0.76 ['proof']).
% 0.20/0.76 % SZS output end Proof
% 0.20/0.76 % Total time :0.080000s
%------------------------------------------------------------------------------