TSTP Solution File: GEO148+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO148+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 : n005.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 22:43:11 EDT 2023
% Result : Theorem 0.62s 0.78s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO148+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.16/0.37 % Computer : n005.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Aug 29 23:17:53 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.61 start to proof:theBenchmark
% 0.62/0.77 %-------------------------------------------
% 0.62/0.77 % File :CSE---1.6
% 0.62/0.77 % Problem :theBenchmark
% 0.62/0.77 % Transform :cnf
% 0.62/0.77 % Format :tptp:raw
% 0.62/0.77 % Command :java -jar mcs_scs.jar %d %s
% 0.62/0.77
% 0.62/0.77 % Result :Theorem 0.090000s
% 0.62/0.77 % Output :CNFRefutation 0.090000s
% 0.62/0.77 %-------------------------------------------
% 0.62/0.78 %--------------------------------------------------------------------------
% 0.62/0.78 % File : GEO148+1 : TPTP v8.1.2. Released v2.4.0.
% 0.62/0.78 % Domain : Geometry (Oriented curves)
% 0.62/0.78 % Problem : No meeting if someone has already passed
% 0.62/0.78 % Version : [EHK99] axioms.
% 0.62/0.78 % English : A point can only be a meeting point of two moving objects if
% 0.62/0.78 % it is not the case that one object already passed through it
% 0.62/0.78 % when the other object was still moving towards it
% 0.62/0.78
% 0.62/0.78 % Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv
% 0.62/0.78 % : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto
% 0.62/0.78 % Source : [EHK99]
% 0.62/0.78 % Names : T14 [EHK99]
% 0.62/0.78
% 0.62/0.78 % Status : Theorem
% 0.62/0.78 % Rating : 0.19 v8.1.0, 0.14 v7.5.0, 0.19 v7.4.0, 0.17 v7.2.0, 0.14 v7.1.0, 0.17 v7.0.0, 0.13 v6.4.0, 0.19 v6.3.0, 0.25 v6.2.0, 0.28 v6.1.0, 0.23 v6.0.0, 0.22 v5.5.0, 0.26 v5.4.0, 0.32 v5.3.0, 0.41 v5.2.0, 0.25 v5.1.0, 0.29 v5.0.0, 0.38 v4.1.0, 0.39 v4.0.0, 0.38 v3.7.0, 0.35 v3.5.0, 0.37 v3.4.0, 0.32 v3.3.0, 0.29 v3.2.0, 0.27 v3.1.0, 0.33 v2.4.0
% 0.62/0.78 % Syntax : Number of formulae : 37 ( 3 unt; 0 def)
% 0.62/0.78 % Number of atoms : 136 ( 17 equ)
% 0.62/0.78 % Maximal formula atoms : 12 ( 3 avg)
% 0.62/0.78 % Number of connectives : 109 ( 10 ~; 10 |; 42 &)
% 0.62/0.78 % ( 24 <=>; 23 =>; 0 <=; 0 <~>)
% 0.62/0.78 % Maximal formula depth : 12 ( 7 avg)
% 0.62/0.78 % Maximal term depth : 3 ( 1 avg)
% 0.62/0.78 % Number of predicates : 16 ( 15 usr; 0 prp; 1-4 aty)
% 0.62/0.78 % Number of functors : 5 ( 5 usr; 0 con; 1-2 aty)
% 0.62/0.78 % Number of variables : 123 ( 107 !; 16 ?)
% 0.62/0.78 % SPC : FOF_THM_RFO_SEQ
% 0.62/0.78
% 0.62/0.78 % Comments :
% 0.62/0.78 %--------------------------------------------------------------------------
% 0.62/0.78 %----Include simple curve axioms
% 0.62/0.78 include('Axioms/GEO004+0.ax').
% 0.62/0.78 %----Include axioms of betweenness for simple curves
% 0.62/0.78 include('Axioms/GEO004+1.ax').
% 0.62/0.78 %----Include oriented curve axioms
% 0.62/0.78 include('Axioms/GEO004+2.ax').
% 0.62/0.78 %----Include trajectory axioms
% 0.62/0.78 include('Axioms/GEO004+3.ax').
% 0.62/0.78 %--------------------------------------------------------------------------
% 0.62/0.78 fof(t14,conjecture,
% 0.62/0.78 ! [P,X,Y] :
% 0.62/0.78 ( connect(X,Y,P)
% 0.62/0.78 => ! [Q1,Q2] :
% 0.62/0.78 ( ( ordered_by(trajectory_of(Y),Q2,P)
% 0.62/0.78 & ordered_by(trajectory_of(X),P,Q1) )
% 0.62/0.78 => ~ once(at_the_same_time(at(X,Q1),at(Y,Q2))) ) ) ).
% 0.62/0.78
% 0.62/0.78 %--------------------------------------------------------------------------
% 0.62/0.78 %-------------------------------------------
% 0.62/0.78 % Proof found
% 0.62/0.78 % SZS status Theorem for theBenchmark
% 0.62/0.78 % SZS output start Proof
% 0.62/0.78 %ClaNum:202(EqnAxiom:100)
% 0.62/0.78 %VarNum:767(SingletonVarNum:276)
% 0.62/0.78 %MaxLitNum:12
% 0.62/0.78 %MaxfuncDepth:3
% 0.62/0.78 %SharedTerms:14
% 0.62/0.78 %goalClause: 104 105 106 107
% 0.62/0.78 %singleGoalClaCount:4
% 0.62/0.78 [104]P3(a16,a23,a17)
% 0.62/0.78 [105]P14(f32(a16),a17,a24)
% 0.62/0.78 [106]P14(f32(a23),a26,a17)
% 0.62/0.78 [107]P11(f3(f2(a16,a24),f2(a23,a26)))
% 0.62/0.78 [101]P1(f1(x1011))
% 0.62/0.78 [102]P2(f11(x1021),x1021)
% 0.62/0.78 [103]P13(f12(x1031),x1031)
% 0.62/0.78 [108]P4(x1081)+P7(f27(x1081),x1081)
% 0.62/0.78 [110]~P1(x1101)+P7(f31(x1101),x1101)
% 0.62/0.78 [117]~P11(x1171)+P11(f3(x1171,x1171))
% 0.62/0.78 [109]P1(x1091)+~P7(x1092,x1091)
% 0.62/0.78 [112]~P4(x1121)+~P7(x1122,x1121)
% 0.62/0.78 [113]~P7(x1131,x1132)+P8(x1131,x1132)
% 0.62/0.78 [114]~P2(x1141,x1142)+P8(x1141,x1142)
% 0.62/0.78 [115]~P13(x1151,x1152)+P10(x1151,x1152)
% 0.62/0.78 [116]~P9(x1161,x1162)+P10(x1161,x1162)
% 0.62/0.78 [119]~P2(x1191,x1192)+~P7(x1191,x1192)
% 0.62/0.78 [118]~P10(x1181,x1182)+P8(x1181,f1(x1182))
% 0.62/0.78 [122]~P7(x1222,x1221)+~E(f4(x1221,x1222),x1222)
% 0.62/0.78 [123]P10(x1231,x1232)+~P8(x1231,f1(x1232))
% 0.62/0.78 [125]P11(x1251)+~P11(f3(x1252,x1251))
% 0.62/0.78 [126]P11(x1261)+~P11(f3(x1261,x1262))
% 0.62/0.78 [127]P15(x1271,x1272)+P8(f13(x1272,x1271),x1271)
% 0.62/0.78 [133]~P10(x1332,f32(x1331))+P11(f2(x1331,x1332))
% 0.62/0.78 [134]~P7(x1342,x1341)+P7(f4(x1341,x1342),x1341)
% 0.62/0.78 [135]P10(x1351,f32(x1352))+~P11(f2(x1352,x1351))
% 0.62/0.78 [144]P15(x1441,x1442)+~P8(f13(x1442,x1441),x1442)
% 0.62/0.78 [146]~P11(f3(x1462,x1461))+P11(f3(x1461,x1462))
% 0.62/0.78 [158]~P2(x1581,x1582)+P12(x1581,f34(x1582,x1581),f5(x1582,x1581))
% 0.62/0.78 [149]~P2(x1492,x1491)+E(f33(f34(x1491,x1492),f5(x1491,x1492)),x1491)
% 0.62/0.78 [167]~P11(x1671)+P11(f3(x1671,f2(x1672,f22(x1671,x1672))))
% 0.62/0.78 [150]P8(x1501,x1502)+~P12(x1501,x1503,x1502)
% 0.62/0.78 [151]P8(x1511,x1512)+~P12(x1511,x1512,x1513)
% 0.62/0.78 [152]P10(x1521,x1522)+~P14(x1522,x1523,x1521)
% 0.62/0.78 [153]P10(x1531,x1532)+~P14(x1532,x1531,x1533)
% 0.62/0.78 [156]~P12(x1563,x1561,x1562)+E(f8(x1561,x1562),f33(x1561,x1562))
% 0.62/0.78 [170]~P11(f3(f3(x1701,x1702),x1703))+P11(f3(x1701,f3(x1702,x1703)))
% 0.62/0.79 [171]~P11(f3(x1711,f3(x1712,x1713)))+P11(f3(f3(x1711,x1712),x1713))
% 0.62/0.79 [174]~P3(x1741,x1743,x1742)+P11(f3(f2(x1741,x1742),f2(x1743,x1742)))
% 0.62/0.79 [179]P3(x1791,x1792,x1793)+~P11(f3(f2(x1791,x1793),f2(x1792,x1793)))
% 0.62/0.79 [183]~E(x1831,x1832)+~P5(x1833,x1831,x1834,x1832)
% 0.62/0.79 [194]~P5(x1942,x1943,x1944,x1941)+P7(x1941,f9(x1942,x1943,x1944,x1941))
% 0.62/0.79 [195]~P5(x1952,x1951,x1953,x1954)+P7(x1951,f9(x1952,x1951,x1953,x1954))
% 0.62/0.79 [196]~P5(x1962,x1963,x1961,x1964)+P2(x1961,f9(x1962,x1963,x1961,x1964))
% 0.62/0.79 [197]~P5(x1971,x1972,x1973,x1974)+P15(f9(x1971,x1972,x1973,x1974),x1971)
% 0.62/0.79 [199]~P6(x1994,x1991,x1992,x1993)+P5(f14(x1991,x1992,x1993,x1994),x1991,x1992,x1993)
% 0.62/0.79 [111]P1(x1111)+~P15(x1111,x1112)+E(x1111,x1112)
% 0.62/0.79 [124]P2(x1241,x1242)+~P8(x1241,x1242)+P7(x1241,x1242)
% 0.62/0.79 [131]~P10(x1311,x1312)+P13(x1311,x1312)+~E(f6(x1311,x1312),x1311)
% 0.62/0.79 [132]~P10(x1321,x1322)+P9(x1321,x1322)+~E(f10(x1321,x1322),x1321)
% 0.62/0.79 [138]~P8(x1381,x1382)+P7(x1381,x1382)+P8(x1381,f28(x1381,x1382))
% 0.62/0.79 [139]~P8(x1391,x1392)+P7(x1391,x1392)+P8(x1391,f29(x1391,x1392))
% 0.62/0.79 [140]~P8(x1401,x1402)+P7(x1401,x1402)+P15(f28(x1401,x1402),x1402)
% 0.62/0.79 [141]~P8(x1411,x1412)+P7(x1411,x1412)+P15(f29(x1411,x1412),x1412)
% 0.62/0.79 [142]~P10(x1421,x1422)+P13(x1421,x1422)+P10(f6(x1421,x1422),x1422)
% 0.62/0.79 [143]~P10(x1431,x1432)+P9(x1431,x1432)+P10(f10(x1431,x1432),x1432)
% 0.62/0.79 [147]E(x1471,x1472)+P8(f7(x1471,x1472),x1472)+P8(f7(x1471,x1472),x1471)
% 0.62/0.79 [148]P8(f18(x1481,x1482),x1481)+P10(f18(x1481,x1482),x1482)+E(x1481,f35(x1482))
% 0.62/0.79 [157]E(x1571,x1572)+~P8(f7(x1571,x1572),x1572)+~P8(f7(x1571,x1572),x1571)
% 0.62/0.79 [159]~P8(f18(x1591,x1592),x1591)+~P10(f18(x1591,x1592),x1592)+E(x1591,f35(x1592))
% 0.62/0.79 [160]~P8(x1601,x1602)+P7(x1601,x1602)+~P15(f28(x1601,x1602),f29(x1601,x1602))
% 0.62/0.79 [161]~P8(x1611,x1612)+P7(x1611,x1612)+~P15(f29(x1611,x1612),f28(x1611,x1612))
% 0.62/0.79 [165]~P10(x1651,x1652)+P13(x1651,x1652)+~P14(x1652,x1651,f6(x1651,x1652))
% 0.62/0.79 [166]~P10(x1661,x1662)+P9(x1661,x1662)+~P14(x1662,f10(x1661,x1662),x1661)
% 0.62/0.79 [172]E(x1721,x1722)+P14(x1722,f20(x1721,x1722),f21(x1721,x1722))+P14(x1721,f20(x1721,x1722),f21(x1721,x1722))
% 0.62/0.79 [180]E(x1801,x1802)+~P14(x1802,f20(x1801,x1802),f21(x1801,x1802))+~P14(x1801,f20(x1801,x1802),f21(x1801,x1802))
% 0.62/0.79 [128]~P8(x1281,x1283)+P8(x1281,x1282)+~P15(x1283,x1282)
% 0.62/0.79 [120]~P10(x1201,x1203)+P8(x1201,x1202)+~E(x1202,f35(x1203))
% 0.62/0.79 [121]~P8(x1211,x1213)+P10(x1211,x1212)+~E(x1213,f35(x1212))
% 0.62/0.79 [184]~P8(f25(x1841,x1842,x1843),x1843)+~P8(f25(x1841,x1842,x1843),x1841)+E(x1841,f33(x1842,x1843))
% 0.62/0.79 [185]~P8(f25(x1851,x1852,x1853),x1852)+~P8(f25(x1851,x1852,x1853),x1851)+E(x1851,f33(x1852,x1853))
% 0.62/0.79 [186]~P14(x1861,x1863,x1862)+~P14(x1861,x1864,x1863)+P6(x1861,x1862,x1863,x1864)
% 0.62/0.79 [187]~P14(x1871,x1873,x1874)+~P14(x1871,x1872,x1873)+P6(x1871,x1872,x1873,x1874)
% 0.62/0.79 [189]~P6(x1891,x1892,x1893,x1894)+P14(x1891,x1892,x1893)+P14(x1891,x1894,x1893)
% 0.62/0.79 [190]P14(x1901,x1903,x1902)+P14(x1901,x1902,x1903)+~P6(x1901,x1904,x1902,x1903)
% 0.62/0.79 [191]P14(x1911,x1913,x1912)+P14(x1911,x1912,x1913)+~P6(x1911,x1912,x1913,x1914)
% 0.62/0.79 [192]~P6(x1921,x1924,x1922,x1923)+P14(x1921,x1922,x1923)+P14(x1921,x1922,x1924)
% 0.62/0.79 [129]~P8(x1291,x1294)+P8(x1291,x1292)+~E(x1292,f33(x1293,x1294))
% 0.62/0.79 [130]~P8(x1301,x1303)+P8(x1301,x1302)+~E(x1302,f33(x1303,x1304))
% 0.62/0.79 [198]~P10(x1981,x1985)+~P6(x1985,x1982,x1983,x1984)+P8(x1981,f14(x1982,x1983,x1984,x1985))
% 0.62/0.79 [200]P10(x2001,x2002)+~P6(x2002,x2003,x2004,x2005)+~P8(x2001,f14(x2003,x2004,x2005,x2002))
% 0.62/0.79 [154]~P10(x1542,x1543)+~P9(x1541,x1543)+E(x1541,x1542)+P14(x1543,x1542,x1541)
% 0.62/0.79 [155]~P13(x1551,x1553)+~P10(x1552,x1553)+E(x1551,x1552)+P14(x1553,x1551,x1552)
% 0.62/0.79 [175]~P8(x1751,x1753)+~P8(x1751,x1752)+P12(x1751,x1752,x1753)+P8(f30(x1751,x1752,x1753),x1753)
% 0.62/0.79 [176]~P8(x1761,x1763)+~P8(x1761,x1762)+P12(x1761,x1762,x1763)+P8(f30(x1761,x1762,x1763),x1762)
% 0.62/0.79 [182]P8(f25(x1821,x1822,x1823),x1823)+P8(f25(x1821,x1822,x1823),x1822)+P8(f25(x1821,x1822,x1823),x1821)+E(x1821,f33(x1822,x1823))
% 0.62/0.79 [163]~P8(x1631,x1632)+P7(x1631,x1632)+~P12(x1634,x1633,x1632)+~P8(x1631,x1633)
% 0.62/0.79 [164]~P8(x1641,x1642)+P7(x1641,x1642)+~P12(x1644,x1642,x1643)+~P8(x1641,x1643)
% 0.62/0.79 [137]~P8(x1371,x1374)+P8(x1371,x1372)+P8(x1371,x1373)+~E(x1374,f33(x1373,x1372))
% 0.62/0.79 [201]~P5(x2015,x2012,x2013,x2014)+P6(x2011,x2012,x2013,x2014)+P8(f15(x2012,x2013,x2014,x2011,x2015),x2015)+P10(f15(x2012,x2013,x2014,x2011,x2015),x2011)
% 0.62/0.79 [202]P6(x2021,x2022,x2023,x2024)+~P5(x2025,x2022,x2023,x2024)+~P8(f15(x2022,x2023,x2024,x2021,x2025),x2025)+~P10(f15(x2022,x2023,x2024,x2021,x2025),x2021)
% 0.62/0.79 [193]~P14(f32(x1931),x1932,x1933)+~P14(f32(x1934),x1935,x1936)+~P11(f3(f2(x1934,x1936),f2(x1931,x1932)))+~P11(f3(f2(x1934,x1935),f2(x1931,x1933)))
% 0.62/0.79 [173]~P1(x1733)+~P8(x1732,x1733)+~P8(x1731,x1733)+E(x1731,x1732)+P14(f19(x1731,x1732,x1733),x1731,x1732)
% 0.62/0.79 [188]~P8(x1881,x1883)+~P8(x1881,x1882)+P12(x1881,x1882,x1883)+~P7(f30(x1881,x1882,x1883),x1883)+~P7(f30(x1881,x1882,x1883),x1882)
% 0.62/0.79 [168]~P4(x1684)+~P7(x1681,x1682)+P12(x1681,x1682,x1683)+~P12(x1685,x1682,x1683)+~E(x1684,f33(x1682,x1683))
% 0.62/0.79 [136]E(x1363,x1361)+~P7(x1361,x1364)+~P7(x1363,x1364)+E(x1361,x1362)+E(x1363,x1362)+~P7(x1362,x1364)
% 0.62/0.79 [169]~P1(x1694)+~P8(x1692,x1694)+~P8(x1691,x1694)+~P8(x1693,x1694)+E(x1691,x1692)+P10(x1693,f19(x1691,x1692,x1694))
% 0.62/0.79 [178]~P1(x1784)+~P8(x1782,x1784)+~P8(x1781,x1784)+E(x1781,x1782)+P8(x1783,x1784)+~P10(x1783,f19(x1781,x1782,x1784))
% 0.62/0.79 [181]~P7(x1812,x1815)+~P7(x1811,x1815)+~P2(x1814,x1815)+E(x1811,x1812)+P5(x1813,x1811,x1814,x1812)+~P15(x1815,x1813)
% 0.62/0.79 [162]P15(x1622,x1621)+~P15(x1622,x1623)+~P8(x1624,x1622)+~P7(x1624,x1623)+P15(x1621,x1622)+~P15(x1621,x1623)+~P8(x1624,x1621)
% 0.62/0.79 [177]P15(x1772,x1771)+P15(x1772,x1773)+P15(x1773,x1771)+P15(x1773,x1772)+~P15(x1772,x1774)+~P15(x1773,x1774)+~P7(x1775,x1772)+~P7(x1775,x1773)+P15(x1771,x1772)+P15(x1771,x1773)+~P15(x1771,x1774)+~P7(x1775,x1771)
% 0.62/0.79 %EqnAxiom
% 0.62/0.79 [1]E(x11,x11)
% 0.62/0.79 [2]E(x22,x21)+~E(x21,x22)
% 0.62/0.79 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.62/0.79 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 0.62/0.79 [5]~E(x51,x52)+E(f11(x51),f11(x52))
% 0.62/0.79 [6]~E(x61,x62)+E(f12(x61),f12(x62))
% 0.62/0.79 [7]~E(x71,x72)+E(f32(x71),f32(x72))
% 0.62/0.79 [8]~E(x81,x82)+E(f15(x81,x83,x84,x85,x86),f15(x82,x83,x84,x85,x86))
% 0.62/0.79 [9]~E(x91,x92)+E(f15(x93,x91,x94,x95,x96),f15(x93,x92,x94,x95,x96))
% 0.62/0.79 [10]~E(x101,x102)+E(f15(x103,x104,x101,x105,x106),f15(x103,x104,x102,x105,x106))
% 0.62/0.79 [11]~E(x111,x112)+E(f15(x113,x114,x115,x111,x116),f15(x113,x114,x115,x112,x116))
% 0.62/0.79 [12]~E(x121,x122)+E(f15(x123,x124,x125,x126,x121),f15(x123,x124,x125,x126,x122))
% 0.62/0.79 [13]~E(x131,x132)+E(f2(x131,x133),f2(x132,x133))
% 0.62/0.79 [14]~E(x141,x142)+E(f2(x143,x141),f2(x143,x142))
% 0.62/0.79 [15]~E(x151,x152)+E(f9(x151,x153,x154,x155),f9(x152,x153,x154,x155))
% 0.62/0.79 [16]~E(x161,x162)+E(f9(x163,x161,x164,x165),f9(x163,x162,x164,x165))
% 0.62/0.79 [17]~E(x171,x172)+E(f9(x173,x174,x171,x175),f9(x173,x174,x172,x175))
% 0.62/0.79 [18]~E(x181,x182)+E(f9(x183,x184,x185,x181),f9(x183,x184,x185,x182))
% 0.62/0.79 [19]~E(x191,x192)+E(f3(x191,x193),f3(x192,x193))
% 0.62/0.79 [20]~E(x201,x202)+E(f3(x203,x201),f3(x203,x202))
% 0.62/0.79 [21]~E(x211,x212)+E(f27(x211),f27(x212))
% 0.62/0.79 [22]~E(x221,x222)+E(f31(x221),f31(x222))
% 0.62/0.79 [23]~E(x231,x232)+E(f25(x231,x233,x234),f25(x232,x233,x234))
% 0.62/0.79 [24]~E(x241,x242)+E(f25(x243,x241,x244),f25(x243,x242,x244))
% 0.62/0.79 [25]~E(x251,x252)+E(f25(x253,x254,x251),f25(x253,x254,x252))
% 0.62/0.79 [26]~E(x261,x262)+E(f21(x261,x263),f21(x262,x263))
% 0.62/0.79 [27]~E(x271,x272)+E(f21(x273,x271),f21(x273,x272))
% 0.62/0.79 [28]~E(x281,x282)+E(f35(x281),f35(x282))
% 0.62/0.79 [29]~E(x291,x292)+E(f19(x291,x293,x294),f19(x292,x293,x294))
% 0.62/0.79 [30]~E(x301,x302)+E(f19(x303,x301,x304),f19(x303,x302,x304))
% 0.62/0.79 [31]~E(x311,x312)+E(f19(x313,x314,x311),f19(x313,x314,x312))
% 0.62/0.79 [32]~E(x321,x322)+E(f4(x321,x323),f4(x322,x323))
% 0.62/0.79 [33]~E(x331,x332)+E(f4(x333,x331),f4(x333,x332))
% 0.62/0.79 [34]~E(x341,x342)+E(f33(x341,x343),f33(x342,x343))
% 0.62/0.79 [35]~E(x351,x352)+E(f33(x353,x351),f33(x353,x352))
% 0.62/0.79 [36]~E(x361,x362)+E(f14(x361,x363,x364,x365),f14(x362,x363,x364,x365))
% 0.62/0.79 [37]~E(x371,x372)+E(f14(x373,x371,x374,x375),f14(x373,x372,x374,x375))
% 0.62/0.79 [38]~E(x381,x382)+E(f14(x383,x384,x381,x385),f14(x383,x384,x382,x385))
% 0.62/0.79 [39]~E(x391,x392)+E(f14(x393,x394,x395,x391),f14(x393,x394,x395,x392))
% 0.62/0.79 [40]~E(x401,x402)+E(f20(x401,x403),f20(x402,x403))
% 0.62/0.79 [41]~E(x411,x412)+E(f20(x413,x411),f20(x413,x412))
% 0.62/0.79 [42]~E(x421,x422)+E(f13(x421,x423),f13(x422,x423))
% 0.62/0.79 [43]~E(x431,x432)+E(f13(x433,x431),f13(x433,x432))
% 0.62/0.79 [44]~E(x441,x442)+E(f22(x441,x443),f22(x442,x443))
% 0.62/0.79 [45]~E(x451,x452)+E(f22(x453,x451),f22(x453,x452))
% 0.62/0.79 [46]~E(x461,x462)+E(f10(x461,x463),f10(x462,x463))
% 0.62/0.79 [47]~E(x471,x472)+E(f10(x473,x471),f10(x473,x472))
% 0.62/0.79 [48]~E(x481,x482)+E(f6(x481,x483),f6(x482,x483))
% 0.62/0.79 [49]~E(x491,x492)+E(f6(x493,x491),f6(x493,x492))
% 0.62/0.79 [50]~E(x501,x502)+E(f7(x501,x503),f7(x502,x503))
% 0.62/0.79 [51]~E(x511,x512)+E(f7(x513,x511),f7(x513,x512))
% 0.62/0.79 [52]~E(x521,x522)+E(f30(x521,x523,x524),f30(x522,x523,x524))
% 0.62/0.79 [53]~E(x531,x532)+E(f30(x533,x531,x534),f30(x533,x532,x534))
% 0.62/0.79 [54]~E(x541,x542)+E(f30(x543,x544,x541),f30(x543,x544,x542))
% 0.62/0.79 [55]~E(x551,x552)+E(f18(x551,x553),f18(x552,x553))
% 0.62/0.79 [56]~E(x561,x562)+E(f18(x563,x561),f18(x563,x562))
% 0.62/0.79 [57]~E(x571,x572)+E(f5(x571,x573),f5(x572,x573))
% 0.62/0.79 [58]~E(x581,x582)+E(f5(x583,x581),f5(x583,x582))
% 0.62/0.79 [59]~E(x591,x592)+E(f34(x591,x593),f34(x592,x593))
% 0.62/0.79 [60]~E(x601,x602)+E(f34(x603,x601),f34(x603,x602))
% 0.62/0.79 [61]~E(x611,x612)+E(f8(x611,x613),f8(x612,x613))
% 0.62/0.79 [62]~E(x621,x622)+E(f8(x623,x621),f8(x623,x622))
% 0.62/0.79 [63]~E(x631,x632)+E(f28(x631,x633),f28(x632,x633))
% 0.62/0.79 [64]~E(x641,x642)+E(f28(x643,x641),f28(x643,x642))
% 0.62/0.79 [65]~E(x651,x652)+E(f29(x651,x653),f29(x652,x653))
% 0.62/0.79 [66]~E(x661,x662)+E(f29(x663,x661),f29(x663,x662))
% 0.62/0.79 [67]~P1(x671)+P1(x672)+~E(x671,x672)
% 0.62/0.79 [68]P2(x682,x683)+~E(x681,x682)+~P2(x681,x683)
% 0.62/0.79 [69]P2(x693,x692)+~E(x691,x692)+~P2(x693,x691)
% 0.62/0.79 [70]P13(x702,x703)+~E(x701,x702)+~P13(x701,x703)
% 0.62/0.79 [71]P13(x713,x712)+~E(x711,x712)+~P13(x713,x711)
% 0.62/0.79 [72]P3(x722,x723,x724)+~E(x721,x722)+~P3(x721,x723,x724)
% 0.62/0.79 [73]P3(x733,x732,x734)+~E(x731,x732)+~P3(x733,x731,x734)
% 0.62/0.79 [74]P3(x743,x744,x742)+~E(x741,x742)+~P3(x743,x744,x741)
% 0.62/0.79 [75]P14(x752,x753,x754)+~E(x751,x752)+~P14(x751,x753,x754)
% 0.62/0.79 [76]P14(x763,x762,x764)+~E(x761,x762)+~P14(x763,x761,x764)
% 0.62/0.79 [77]P14(x773,x774,x772)+~E(x771,x772)+~P14(x773,x774,x771)
% 0.62/0.79 [78]P5(x782,x783,x784,x785)+~E(x781,x782)+~P5(x781,x783,x784,x785)
% 0.62/0.79 [79]P5(x793,x792,x794,x795)+~E(x791,x792)+~P5(x793,x791,x794,x795)
% 0.62/0.79 [80]P5(x803,x804,x802,x805)+~E(x801,x802)+~P5(x803,x804,x801,x805)
% 0.62/0.79 [81]P5(x813,x814,x815,x812)+~E(x811,x812)+~P5(x813,x814,x815,x811)
% 0.62/0.79 [82]~P11(x821)+P11(x822)+~E(x821,x822)
% 0.62/0.79 [83]~P4(x831)+P4(x832)+~E(x831,x832)
% 0.62/0.79 [84]P7(x842,x843)+~E(x841,x842)+~P7(x841,x843)
% 0.62/0.79 [85]P7(x853,x852)+~E(x851,x852)+~P7(x853,x851)
% 0.62/0.79 [86]P10(x862,x863)+~E(x861,x862)+~P10(x861,x863)
% 0.62/0.79 [87]P10(x873,x872)+~E(x871,x872)+~P10(x873,x871)
% 0.62/0.79 [88]P15(x882,x883)+~E(x881,x882)+~P15(x881,x883)
% 0.62/0.79 [89]P15(x893,x892)+~E(x891,x892)+~P15(x893,x891)
% 0.62/0.79 [90]P8(x902,x903)+~E(x901,x902)+~P8(x901,x903)
% 0.62/0.79 [91]P8(x913,x912)+~E(x911,x912)+~P8(x913,x911)
% 0.62/0.79 [92]P6(x922,x923,x924,x925)+~E(x921,x922)+~P6(x921,x923,x924,x925)
% 0.62/0.79 [93]P6(x933,x932,x934,x935)+~E(x931,x932)+~P6(x933,x931,x934,x935)
% 0.62/0.79 [94]P6(x943,x944,x942,x945)+~E(x941,x942)+~P6(x943,x944,x941,x945)
% 0.62/0.79 [95]P6(x953,x954,x955,x952)+~E(x951,x952)+~P6(x953,x954,x955,x951)
% 0.62/0.79 [96]P12(x962,x963,x964)+~E(x961,x962)+~P12(x961,x963,x964)
% 0.62/0.79 [97]P12(x973,x972,x974)+~E(x971,x972)+~P12(x973,x971,x974)
% 0.62/0.79 [98]P12(x983,x984,x982)+~E(x981,x982)+~P12(x983,x984,x981)
% 0.62/0.79 [99]P9(x992,x993)+~E(x991,x992)+~P9(x991,x993)
% 0.62/0.79 [100]P9(x1003,x1002)+~E(x1001,x1002)+~P9(x1003,x1001)
% 0.62/0.79
% 0.62/0.79 %-------------------------------------------
% 0.62/0.80 cnf(205,plain,
% 0.62/0.80 (P10(a24,f32(a16))),
% 0.62/0.80 inference(scs_inference,[],[107,126,125,135])).
% 0.62/0.80 cnf(211,plain,
% 0.62/0.80 (~P7(f11(x2111),x2111)),
% 0.62/0.80 inference(scs_inference,[],[105,106,107,102,126,125,135,153,152,119])).
% 0.62/0.80 cnf(215,plain,
% 0.62/0.80 (P8(f11(x2151),x2151)),
% 0.62/0.80 inference(scs_inference,[],[105,106,107,102,103,126,125,135,153,152,119,115,114])).
% 0.62/0.80 cnf(221,plain,
% 0.62/0.80 (P7(f4(f1(x2211),f31(f1(x2211))),f1(x2211))),
% 0.62/0.80 inference(scs_inference,[],[105,106,107,102,103,101,126,125,135,153,152,119,115,114,118,110,134])).
% 0.62/0.80 cnf(223,plain,
% 0.62/0.80 (~E(f4(f1(x2231),f31(f1(x2231))),f31(f1(x2231)))),
% 0.62/0.80 inference(scs_inference,[],[105,106,107,102,103,101,126,125,135,153,152,119,115,114,118,110,134,122])).
% 0.62/0.80 cnf(229,plain,
% 0.62/0.80 (P11(f3(f2(a16,a17),f2(a23,a17)))),
% 0.62/0.80 inference(scs_inference,[],[104,105,106,107,102,103,101,126,125,135,153,152,119,115,114,118,110,134,122,117,133,174])).
% 0.62/0.80 cnf(231,plain,
% 0.62/0.80 (P12(f11(x2311),f34(x2311,f11(x2311)),f5(x2311,f11(x2311)))),
% 0.62/0.80 inference(scs_inference,[],[104,105,106,107,102,103,101,126,125,135,153,152,119,115,114,118,110,134,122,117,133,174,158])).
% 0.62/0.80 cnf(233,plain,
% 0.62/0.80 (E(f33(f34(x2331,f11(x2331)),f5(x2331,f11(x2331))),x2331)),
% 0.62/0.80 inference(scs_inference,[],[104,105,106,107,102,103,101,126,125,135,153,152,119,115,114,118,110,134,122,117,133,174,158,149])).
% 0.62/0.80 cnf(242,plain,
% 0.62/0.80 (P15(f29(f11(f1(x2421)),f1(x2421)),f1(x2421))),
% 0.62/0.80 inference(scs_inference,[],[104,105,106,107,102,103,101,126,125,135,153,152,119,115,114,118,110,134,122,117,133,174,158,149,146,171,85,84,82,141])).
% 0.62/0.80 cnf(250,plain,
% 0.62/0.80 (~P15(f29(f11(f1(x2501)),f1(x2501)),f28(f11(f1(x2501)),f1(x2501)))),
% 0.62/0.80 inference(scs_inference,[],[104,105,106,107,102,103,101,126,125,135,153,152,119,115,114,118,110,134,122,117,133,174,158,149,146,171,85,84,82,141,140,139,138,161])).
% 0.62/0.80 cnf(254,plain,
% 0.62/0.80 (~P12(x2541,f1(x2542),f1(x2542))),
% 0.62/0.80 inference(scs_inference,[],[104,105,106,107,102,103,101,126,125,135,153,152,119,115,114,118,110,134,122,117,133,174,158,149,146,171,85,84,82,141,140,139,138,161,160,164])).
% 0.62/0.80 cnf(256,plain,
% 0.62/0.80 (P8(f30(f11(f1(x2561)),f1(x2561),f1(x2561)),f1(x2561))),
% 0.62/0.80 inference(scs_inference,[],[104,105,106,107,102,103,101,126,125,135,153,152,119,115,114,118,110,134,122,117,133,174,158,149,146,171,85,84,82,141,140,139,138,161,160,164,176])).
% 0.62/0.80 cnf(258,plain,
% 0.62/0.80 (P8(f11(f1(x2581)),f34(f1(x2581),f11(f1(x2581))))),
% 0.62/0.80 inference(scs_inference,[],[104,105,106,107,102,103,101,126,125,135,153,152,119,115,114,118,110,134,122,117,133,174,158,149,146,171,85,84,82,141,140,139,138,161,160,164,176,193,151])).
% 0.62/0.80 cnf(260,plain,
% 0.62/0.80 (P8(f11(f1(x2601)),f5(f1(x2601),f11(f1(x2601))))),
% 0.62/0.80 inference(scs_inference,[],[104,105,106,107,102,103,101,126,125,135,153,152,119,115,114,118,110,134,122,117,133,174,158,149,146,171,85,84,82,141,140,139,138,161,160,164,176,193,151,150])).
% 0.62/0.80 cnf(262,plain,
% 0.62/0.80 (~P4(f1(x2621))),
% 0.62/0.80 inference(scs_inference,[],[104,105,106,107,102,103,101,126,125,135,153,152,119,115,114,118,110,134,122,117,133,174,158,149,146,171,85,84,82,141,140,139,138,161,160,164,176,193,151,150,112])).
% 0.62/0.80 cnf(287,plain,
% 0.62/0.80 (~P5(x2871,f33(f34(x2872,f11(x2872)),f5(x2872,f11(x2872))),x2873,x2872)),
% 0.62/0.80 inference(scs_inference,[],[233,223,2,183])).
% 0.62/0.80 cnf(299,plain,
% 0.62/0.80 (P8(f30(f30(f11(f1(x2991)),f1(x2991),f1(x2991)),f1(x2991),f1(x2991)),f1(x2991))),
% 0.62/0.80 inference(scs_inference,[],[231,233,250,256,221,223,242,258,260,254,262,2,183,113,108,89,163,175])).
% 0.62/0.80 cnf(300,plain,
% 0.62/0.80 (P8(f30(f11(f1(x3001)),f1(x3001),f1(x3001)),f1(x3001))),
% 0.62/0.80 inference(rename_variables,[],[256])).
% 0.62/0.80 cnf(301,plain,
% 0.62/0.80 (~P12(x3011,f1(x3012),f1(x3012))),
% 0.62/0.80 inference(rename_variables,[],[254])).
% 0.62/0.80 cnf(304,plain,
% 0.62/0.80 (~P12(x3041,f1(x3042),f1(x3042))),
% 0.62/0.80 inference(rename_variables,[],[254])).
% 0.62/0.80 cnf(307,plain,
% 0.62/0.80 (P8(f11(x3071),x3071)),
% 0.62/0.80 inference(rename_variables,[],[215])).
% 0.62/0.80 cnf(310,plain,
% 0.62/0.80 (P8(f11(x3101),x3101)),
% 0.62/0.80 inference(rename_variables,[],[215])).
% 0.62/0.80 cnf(315,plain,
% 0.62/0.80 (~P2(f4(f1(x3151),f31(f1(x3151))),f1(x3151))),
% 0.62/0.80 inference(scs_inference,[],[231,233,250,256,300,221,223,242,258,260,211,215,307,254,301,304,262,2,183,113,108,89,163,175,188,141,138,176,119])).
% 0.62/0.80 cnf(318,plain,
% 0.62/0.80 (~P15(f28(f11(x3181),x3181),f29(f11(x3181),x3181))),
% 0.62/0.80 inference(scs_inference,[],[231,233,250,256,300,221,223,242,258,260,211,215,307,310,254,301,304,262,2,183,113,108,89,163,175,188,141,138,176,119,160])).
% 0.62/0.80 cnf(319,plain,
% 0.62/0.80 (P8(f11(x3191),x3191)),
% 0.62/0.80 inference(rename_variables,[],[215])).
% 0.62/0.80 cnf(321,plain,
% 0.62/0.80 (P15(f28(f11(x3211),x3211),x3211)),
% 0.62/0.80 inference(scs_inference,[],[231,233,250,256,300,221,223,242,258,260,211,215,307,310,319,254,301,304,262,2,183,113,108,89,163,175,188,141,138,176,119,160,140])).
% 0.62/0.80 cnf(358,plain,
% 0.62/0.80 (P8(f30(f30(f11(f1(x3581)),f1(x3581),f1(x3581)),f1(x3581),f1(x3581)),f1(x3581))),
% 0.62/0.80 inference(rename_variables,[],[299])).
% 0.62/0.80 cnf(359,plain,
% 0.62/0.80 (~P12(x3591,f1(x3592),f1(x3592))),
% 0.62/0.80 inference(rename_variables,[],[254])).
% 0.62/0.80 cnf(372,plain,
% 0.62/0.80 ($false),
% 0.62/0.80 inference(scs_inference,[],[105,106,102,107,299,358,318,315,321,287,205,254,359,229,233,68,175,2,77,188,79,89,86,193]),
% 0.62/0.80 ['proof']).
% 0.62/0.80 % SZS output end Proof
% 0.62/0.80 % Total time :0.090000s
%------------------------------------------------------------------------------