TSTP Solution File: GEO147-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO147-1 : 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 : n012.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 : Unsatisfiable 0.86s 0.97s
% Output : CNFRefutation 0.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO147-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.38 % Computer : n012.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Tue Aug 29 19:49:39 EDT 2023
% 0.15/0.38 % CPUTime :
% 0.24/0.61 start to proof:theBenchmark
% 0.86/0.97 %-------------------------------------------
% 0.86/0.97 % File :CSE---1.6
% 0.86/0.97 % Problem :theBenchmark
% 0.86/0.97 % Transform :cnf
% 0.86/0.97 % Format :tptp:raw
% 0.86/0.97 % Command :java -jar mcs_scs.jar %d %s
% 0.86/0.97
% 0.86/0.97 % Result :Theorem 0.290000s
% 0.86/0.97 % Output :CNFRefutation 0.290000s
% 0.86/0.97 %-------------------------------------------
% 0.86/0.97 %--------------------------------------------------------------------------
% 0.86/0.97 % File : GEO147-1 : TPTP v8.1.2. Released v2.4.0.
% 0.86/0.97 % Domain : Geometry (Oriented curves)
% 0.86/0.97 % Problem : Meeting is possible only if there is a common position
% 0.86/0.97 % Version : [EHK99] axioms.
% 0.86/0.97 % English :
% 0.86/0.97
% 0.86/0.97 % Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv
% 0.86/0.97 % : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto
% 0.86/0.97 % Source : [TPTP]
% 0.86/0.97 % Names :
% 0.86/0.97
% 0.86/0.97 % Status : Unsatisfiable
% 0.86/0.97 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.10 v5.5.0, 0.20 v5.3.0, 0.22 v5.2.0, 0.19 v5.1.0, 0.24 v5.0.0, 0.14 v4.1.0, 0.23 v4.0.1, 0.27 v3.7.0, 0.00 v3.5.0, 0.09 v3.4.0, 0.17 v3.3.0, 0.14 v3.2.0, 0.15 v3.1.0, 0.09 v2.7.0, 0.17 v2.6.0, 0.11 v2.5.0, 0.00 v2.4.0
% 0.86/0.97 % Syntax : Number of clauses : 112 ( 5 unt; 42 nHn; 100 RR)
% 0.86/0.97 % Number of literals : 331 ( 41 equ; 170 neg)
% 0.86/0.97 % Maximal clause size : 12 ( 2 avg)
% 0.86/0.97 % Maximal term depth : 4 ( 1 avg)
% 0.86/0.97 % Number of predicates : 16 ( 15 usr; 0 prp; 1-4 aty)
% 0.86/0.97 % Number of functors : 34 ( 34 usr; 3 con; 0-5 aty)
% 0.86/0.97 % Number of variables : 310 ( 19 sgn)
% 0.86/0.97 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.86/0.97
% 0.86/0.97 % Comments : Created by tptp2X -f tptp -t clausify:otter GEO147+1.p
% 0.86/0.97 %--------------------------------------------------------------------------
% 0.86/0.97 %----Include simple curve axioms
% 0.86/0.97 include('Axioms/GEO004-0.ax').
% 0.86/0.97 %----Include axioms of betweenness for simple curves
% 0.86/0.97 include('Axioms/GEO004-1.ax').
% 0.86/0.97 %----Include oriented curve axioms
% 0.86/0.97 include('Axioms/GEO004-2.ax').
% 0.86/0.97 %----Include trajectory axioms
% 0.86/0.97 include('Axioms/GEO004-3.ax').
% 0.86/0.97 %--------------------------------------------------------------------------
% 0.86/0.97 cnf(t13_156,negated_conjecture,
% 0.86/0.97 connect(sk28,sk29,sk27) ).
% 0.86/0.97
% 0.86/0.97 cnf(t13_157,negated_conjecture,
% 0.86/0.97 ( ~ incident_o(sk27,trajectory_of(sk28))
% 0.86/0.97 | ~ incident_o(sk27,trajectory_of(sk29)) ) ).
% 0.86/0.97
% 0.86/0.97 %--------------------------------------------------------------------------
% 0.86/0.97 %-------------------------------------------
% 0.86/0.97 % Proof found
% 0.86/0.97 % SZS status Theorem for theBenchmark
% 0.86/0.97 % SZS output start Proof
% 0.86/0.97 %ClaNum:200(EqnAxiom:100)
% 0.86/0.97 %VarNum:767(SingletonVarNum:276)
% 0.86/0.97 %MaxLitNum:12
% 0.86/0.97 %MaxfuncDepth:3
% 0.86/0.97 %SharedTerms:8
% 0.86/0.97 %goalClause: 104 121
% 0.86/0.97 %singleGoalClaCount:1
% 0.86/0.97 [104]P3(a24,a30,a25)
% 0.86/0.97 [101]P1(f1(x1011))
% 0.86/0.97 [102]P2(f2(x1021),x1021)
% 0.86/0.97 [103]P13(f21(x1031),x1031)
% 0.86/0.97 [121]~P10(a25,f32(a24))+~P10(a25,f32(a30))
% 0.86/0.97 [105]P4(x1051)+P7(f3(x1051),x1051)
% 0.86/0.97 [107]~P1(x1071)+P7(f15(x1071),x1071)
% 0.86/0.97 [114]~P11(x1141)+P11(f4(x1141,x1141))
% 0.86/0.97 [106]P1(x1061)+~P7(x1062,x1061)
% 0.86/0.97 [109]~P4(x1091)+~P7(x1092,x1091)
% 0.86/0.97 [110]~P7(x1101,x1102)+P8(x1101,x1102)
% 0.86/0.97 [111]~P2(x1111,x1112)+P8(x1111,x1112)
% 0.86/0.97 [112]~P13(x1121,x1122)+P10(x1121,x1122)
% 0.86/0.97 [113]~P9(x1131,x1132)+P10(x1131,x1132)
% 0.86/0.97 [116]~P2(x1161,x1162)+~P7(x1161,x1162)
% 0.86/0.97 [115]~P10(x1151,x1152)+P8(x1151,f1(x1152))
% 0.86/0.97 [119]~P7(x1191,x1192)+~E(f6(x1191,x1192),x1191)
% 0.86/0.97 [120]P10(x1201,x1202)+~P8(x1201,f1(x1202))
% 0.86/0.97 [123]P11(x1231)+~P11(f4(x1232,x1231))
% 0.86/0.97 [124]P11(x1241)+~P11(f4(x1241,x1242))
% 0.86/0.97 [125]P14(x1251,x1252)+P8(f7(x1251,x1252),x1251)
% 0.86/0.97 [131]~P10(x1312,f32(x1311))+P11(f5(x1311,x1312))
% 0.86/0.97 [132]~P7(x1321,x1322)+P7(f6(x1321,x1322),x1322)
% 0.86/0.97 [133]P10(x1331,f32(x1332))+~P11(f5(x1332,x1331))
% 0.86/0.97 [142]P14(x1421,x1422)+~P8(f7(x1421,x1422),x1422)
% 0.86/0.97 [144]~P11(f4(x1442,x1441))+P11(f4(x1441,x1442))
% 0.86/0.97 [156]~P2(x1561,x1562)+P12(x1561,f17(x1561,x1562),f8(x1561,x1562))
% 0.86/0.97 [147]~P2(x1471,x1472)+E(f33(f17(x1471,x1472),f8(x1471,x1472)),x1472)
% 0.86/0.97 [165]~P11(x1651)+P11(f4(x1651,f5(x1652,f26(x1652,x1651))))
% 0.86/0.97 [148]P8(x1481,x1482)+~P12(x1481,x1483,x1482)
% 0.86/0.97 [149]P8(x1491,x1492)+~P12(x1491,x1492,x1493)
% 0.86/0.97 [150]P10(x1501,x1502)+~P15(x1502,x1503,x1501)
% 0.86/0.97 [151]P10(x1511,x1512)+~P15(x1512,x1511,x1513)
% 0.86/0.97 [154]~P12(x1543,x1542,x1541)+E(f11(x1541,x1542),f33(x1542,x1541))
% 0.86/0.97 [168]~P11(f4(f4(x1681,x1682),x1683))+P11(f4(x1681,f4(x1682,x1683)))
% 0.86/0.97 [169]~P11(f4(x1691,f4(x1692,x1693)))+P11(f4(f4(x1691,x1692),x1693))
% 0.86/0.97 [172]~P3(x1721,x1723,x1722)+P11(f4(f5(x1721,x1722),f5(x1723,x1722)))
% 0.86/0.97 [177]P3(x1771,x1772,x1773)+~P11(f4(f5(x1771,x1773),f5(x1772,x1773)))
% 0.86/0.97 [181]~E(x1811,x1812)+~P5(x1813,x1811,x1814,x1812)
% 0.86/0.97 [192]~P5(x1924,x1923,x1922,x1921)+P7(x1921,f18(x1921,x1922,x1923,x1924))
% 0.86/0.97 [193]~P5(x1934,x1931,x1933,x1932)+P7(x1931,f18(x1932,x1933,x1931,x1934))
% 0.86/0.97 [194]~P5(x1944,x1943,x1941,x1942)+P2(x1941,f18(x1942,x1941,x1943,x1944))
% 0.86/0.97 [195]~P5(x1954,x1953,x1952,x1951)+P14(f18(x1951,x1952,x1953,x1954),x1954)
% 0.86/0.97 [197]~P6(x1971,x1974,x1973,x1972)+P5(f22(x1971,x1972,x1973,x1974),x1974,x1973,x1972)
% 0.86/0.97 [108]P1(x1081)+~P14(x1081,x1082)+E(x1081,x1082)
% 0.86/0.97 [122]P2(x1221,x1222)+~P8(x1221,x1222)+P7(x1221,x1222)
% 0.86/0.97 [129]~P10(x1291,x1292)+P13(x1291,x1292)+~E(f16(x1292,x1291),x1291)
% 0.86/0.97 [130]~P10(x1301,x1302)+P9(x1301,x1302)+~E(f19(x1302,x1301),x1301)
% 0.86/0.97 [136]~P8(x1361,x1362)+P7(x1361,x1362)+P8(x1361,f9(x1362,x1361))
% 0.86/0.97 [137]~P8(x1371,x1372)+P7(x1371,x1372)+P8(x1371,f13(x1372,x1371))
% 0.86/0.97 [138]~P8(x1381,x1382)+P7(x1381,x1382)+P14(f9(x1382,x1381),x1382)
% 0.86/0.98 [139]~P8(x1391,x1392)+P7(x1391,x1392)+P14(f13(x1392,x1391),x1392)
% 0.86/0.98 [140]~P10(x1401,x1402)+P13(x1401,x1402)+P10(f16(x1402,x1401),x1402)
% 0.86/0.98 [141]~P10(x1411,x1412)+P9(x1411,x1412)+P10(f19(x1412,x1411),x1412)
% 0.86/0.98 [145]E(x1451,x1452)+P8(f10(x1451,x1452),x1452)+P8(f10(x1451,x1452),x1451)
% 0.86/0.98 [146]P8(f20(x1462,x1461),x1461)+P10(f20(x1462,x1461),x1462)+E(x1461,f31(x1462))
% 0.86/0.98 [155]E(x1551,x1552)+~P8(f10(x1551,x1552),x1552)+~P8(f10(x1551,x1552),x1551)
% 0.86/0.98 [157]~P8(f20(x1572,x1571),x1571)+~P10(f20(x1572,x1571),x1572)+E(x1571,f31(x1572))
% 0.86/0.98 [158]~P8(x1581,x1582)+P7(x1581,x1582)+~P14(f9(x1582,x1581),f13(x1582,x1581))
% 0.86/0.98 [159]~P8(x1591,x1592)+P7(x1591,x1592)+~P14(f13(x1592,x1591),f9(x1592,x1591))
% 0.86/0.98 [163]~P10(x1631,x1632)+P13(x1631,x1632)+~P15(x1632,x1631,f16(x1632,x1631))
% 0.86/0.98 [164]~P10(x1641,x1642)+P9(x1641,x1642)+~P15(x1642,f19(x1642,x1641),x1641)
% 0.86/0.98 [170]E(x1701,x1702)+P15(x1702,f28(x1702,x1701),f29(x1702,x1701))+P15(x1701,f28(x1702,x1701),f29(x1702,x1701))
% 0.86/0.98 [178]E(x1781,x1782)+~P15(x1782,f28(x1781,x1782),f29(x1781,x1782))+~P15(x1781,f28(x1781,x1782),f29(x1781,x1782))
% 0.86/0.98 [126]~P8(x1261,x1263)+P8(x1261,x1262)+~P14(x1263,x1262)
% 0.86/0.98 [117]~P10(x1171,x1173)+P8(x1171,x1172)+~E(x1172,f31(x1173))
% 0.86/0.98 [118]~P8(x1181,x1183)+P10(x1181,x1182)+~E(x1183,f31(x1182))
% 0.86/0.98 [182]~P8(f12(x1823,x1822,x1821),x1821)+~P8(f12(x1823,x1822,x1821),x1822)+E(x1821,f33(x1822,x1823))
% 0.86/0.98 [183]~P8(f12(x1833,x1832,x1831),x1831)+~P8(f12(x1833,x1832,x1831),x1833)+E(x1831,f33(x1832,x1833))
% 0.86/0.98 [184]~P15(x1841,x1843,x1842)+~P15(x1841,x1844,x1843)+P6(x1841,x1842,x1843,x1844)
% 0.86/0.98 [185]~P15(x1851,x1853,x1854)+~P15(x1851,x1852,x1853)+P6(x1851,x1852,x1853,x1854)
% 0.86/0.98 [187]P15(x1871,x1873,x1872)+P15(x1871,x1872,x1873)+~P6(x1871,x1874,x1873,x1872)
% 0.86/0.98 [188]~P6(x1881,x1884,x1883,x1882)+P15(x1881,x1882,x1883)+P15(x1881,x1884,x1883)
% 0.86/0.98 [189]~P6(x1891,x1894,x1892,x1893)+P15(x1891,x1892,x1893)+P15(x1891,x1892,x1894)
% 0.86/0.98 [190]P15(x1901,x1903,x1902)+P15(x1901,x1902,x1903)+~P6(x1901,x1903,x1902,x1904)
% 0.86/0.98 [127]~P8(x1271,x1274)+P8(x1271,x1272)+~E(x1272,f33(x1273,x1274))
% 0.86/0.98 [128]~P8(x1281,x1283)+P8(x1281,x1282)+~E(x1282,f33(x1283,x1284))
% 0.86/0.98 [196]~P10(x1961,x1962)+~P6(x1962,x1965,x1964,x1963)+P8(x1961,f22(x1962,x1963,x1964,x1965))
% 0.86/0.98 [198]P10(x1981,x1982)+~P6(x1982,x1983,x1984,x1985)+~P8(x1981,f22(x1982,x1985,x1984,x1983))
% 0.86/0.98 [152]~P10(x1522,x1523)+~P9(x1521,x1523)+E(x1521,x1522)+P15(x1523,x1522,x1521)
% 0.86/0.98 [153]~P13(x1531,x1533)+~P10(x1532,x1533)+E(x1531,x1532)+P15(x1533,x1531,x1532)
% 0.86/0.98 [173]~P8(x1731,x1733)+~P8(x1731,x1732)+P12(x1731,x1732,x1733)+P8(f14(x1733,x1732,x1731),x1733)
% 0.86/0.98 [174]~P8(x1741,x1743)+~P8(x1741,x1742)+P12(x1741,x1742,x1743)+P8(f14(x1743,x1742,x1741),x1742)
% 0.86/0.98 [180]P8(f12(x1803,x1802,x1801),x1801)+P8(f12(x1803,x1802,x1801),x1802)+P8(f12(x1803,x1802,x1801),x1803)+E(x1801,f33(x1802,x1803))
% 0.86/0.98 [161]~P8(x1611,x1612)+P7(x1611,x1612)+~P12(x1614,x1613,x1612)+~P8(x1611,x1613)
% 0.86/0.98 [162]~P8(x1621,x1622)+P7(x1621,x1622)+~P12(x1624,x1622,x1623)+~P8(x1621,x1623)
% 0.86/0.98 [135]~P8(x1351,x1354)+P8(x1351,x1352)+P8(x1351,x1353)+~E(x1354,f33(x1353,x1352))
% 0.86/0.98 [199]~P5(x1995,x1992,x1993,x1994)+P6(x1991,x1992,x1993,x1994)+P8(f23(x1995,x1991,x1994,x1993,x1992),x1995)+P10(f23(x1995,x1991,x1994,x1993,x1992),x1991)
% 0.86/0.98 [200]P6(x2001,x2002,x2003,x2004)+~P5(x2005,x2002,x2003,x2004)+~P8(f23(x2005,x2001,x2004,x2003,x2002),x2005)+~P10(f23(x2005,x2001,x2004,x2003,x2002),x2001)
% 0.86/0.98 [191]~P15(f32(x1911),x1912,x1913)+~P15(f32(x1914),x1915,x1916)+~P11(f4(f5(x1914,x1916),f5(x1911,x1912)))+~P11(f4(f5(x1914,x1915),f5(x1911,x1913)))
% 0.86/0.98 [171]~P1(x1713)+~P8(x1712,x1713)+~P8(x1711,x1713)+E(x1711,x1712)+P15(f27(x1713,x1712,x1711),x1711,x1712)
% 0.86/0.98 [186]~P8(x1861,x1863)+~P8(x1861,x1862)+P12(x1861,x1862,x1863)+~P7(f14(x1863,x1862,x1861),x1863)+~P7(f14(x1863,x1862,x1861),x1862)
% 0.86/0.98 [166]~P4(x1664)+~P7(x1661,x1662)+P12(x1661,x1662,x1663)+~P12(x1665,x1662,x1663)+~E(x1664,f33(x1662,x1663))
% 0.86/0.98 [134]E(x1343,x1341)+~P7(x1341,x1344)+~P7(x1343,x1344)+E(x1341,x1342)+E(x1343,x1342)+~P7(x1342,x1344)
% 0.86/0.98 [167]~P1(x1674)+~P8(x1673,x1674)+~P8(x1672,x1674)+~P8(x1671,x1674)+E(x1671,x1672)+P10(x1673,f27(x1674,x1672,x1671))
% 0.86/0.98 [176]~P1(x1764)+~P8(x1762,x1764)+~P8(x1761,x1764)+E(x1761,x1762)+P8(x1763,x1764)+~P10(x1763,f27(x1764,x1762,x1761))
% 0.86/0.98 [179]~P7(x1792,x1795)+~P7(x1791,x1795)+~P2(x1794,x1795)+E(x1791,x1792)+P5(x1793,x1791,x1794,x1792)+~P14(x1795,x1793)
% 0.86/0.98 [160]P14(x1602,x1601)+~P14(x1602,x1603)+~P8(x1604,x1602)+~P7(x1604,x1603)+P14(x1601,x1602)+~P14(x1601,x1603)+~P8(x1604,x1601)
% 0.86/0.98 [175]P14(x1752,x1751)+P14(x1752,x1753)+P14(x1753,x1751)+P14(x1753,x1752)+~P14(x1752,x1754)+~P14(x1753,x1754)+~P7(x1755,x1752)+~P7(x1755,x1753)+P14(x1751,x1752)+P14(x1751,x1753)+~P14(x1751,x1754)+~P7(x1755,x1751)
% 0.86/0.98 %EqnAxiom
% 0.86/0.98 [1]E(x11,x11)
% 0.86/0.98 [2]E(x22,x21)+~E(x21,x22)
% 0.86/0.98 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.86/0.98 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 0.86/0.98 [5]~E(x51,x52)+E(f2(x51),f2(x52))
% 0.86/0.98 [6]~E(x61,x62)+E(f21(x61),f21(x62))
% 0.86/0.98 [7]~E(x71,x72)+E(f3(x71),f3(x72))
% 0.86/0.98 [8]~E(x81,x82)+E(f15(x81),f15(x82))
% 0.86/0.98 [9]~E(x91,x92)+E(f4(x91,x93),f4(x92,x93))
% 0.86/0.98 [10]~E(x101,x102)+E(f4(x103,x101),f4(x103,x102))
% 0.86/0.98 [11]~E(x111,x112)+E(f23(x111,x113,x114,x115,x116),f23(x112,x113,x114,x115,x116))
% 0.86/0.98 [12]~E(x121,x122)+E(f23(x123,x121,x124,x125,x126),f23(x123,x122,x124,x125,x126))
% 0.86/0.98 [13]~E(x131,x132)+E(f23(x133,x134,x131,x135,x136),f23(x133,x134,x132,x135,x136))
% 0.86/0.98 [14]~E(x141,x142)+E(f23(x143,x144,x145,x141,x146),f23(x143,x144,x145,x142,x146))
% 0.86/0.98 [15]~E(x151,x152)+E(f23(x153,x154,x155,x156,x151),f23(x153,x154,x155,x156,x152))
% 0.86/0.98 [16]~E(x161,x162)+E(f31(x161),f31(x162))
% 0.86/0.98 [17]~E(x171,x172)+E(f12(x171,x173,x174),f12(x172,x173,x174))
% 0.86/0.98 [18]~E(x181,x182)+E(f12(x183,x181,x184),f12(x183,x182,x184))
% 0.86/0.98 [19]~E(x191,x192)+E(f12(x193,x194,x191),f12(x193,x194,x192))
% 0.86/0.98 [20]~E(x201,x202)+E(f6(x201,x203),f6(x202,x203))
% 0.86/0.98 [21]~E(x211,x212)+E(f6(x213,x211),f6(x213,x212))
% 0.86/0.98 [22]~E(x221,x222)+E(f33(x221,x223),f33(x222,x223))
% 0.86/0.98 [23]~E(x231,x232)+E(f33(x233,x231),f33(x233,x232))
% 0.86/0.98 [24]~E(x241,x242)+E(f32(x241),f32(x242))
% 0.86/0.98 [25]~E(x251,x252)+E(f5(x251,x253),f5(x252,x253))
% 0.86/0.98 [26]~E(x261,x262)+E(f5(x263,x261),f5(x263,x262))
% 0.86/0.98 [27]~E(x271,x272)+E(f29(x271,x273),f29(x272,x273))
% 0.86/0.98 [28]~E(x281,x282)+E(f29(x283,x281),f29(x283,x282))
% 0.86/0.98 [29]~E(x291,x292)+E(f28(x291,x293),f28(x292,x293))
% 0.86/0.98 [30]~E(x301,x302)+E(f28(x303,x301),f28(x303,x302))
% 0.86/0.98 [31]~E(x311,x312)+E(f7(x311,x313),f7(x312,x313))
% 0.86/0.98 [32]~E(x321,x322)+E(f7(x323,x321),f7(x323,x322))
% 0.86/0.98 [33]~E(x331,x332)+E(f14(x331,x333,x334),f14(x332,x333,x334))
% 0.86/0.98 [34]~E(x341,x342)+E(f14(x343,x341,x344),f14(x343,x342,x344))
% 0.86/0.98 [35]~E(x351,x352)+E(f14(x353,x354,x351),f14(x353,x354,x352))
% 0.86/0.98 [36]~E(x361,x362)+E(f27(x361,x363,x364),f27(x362,x363,x364))
% 0.86/0.98 [37]~E(x371,x372)+E(f27(x373,x371,x374),f27(x373,x372,x374))
% 0.86/0.98 [38]~E(x381,x382)+E(f27(x383,x384,x381),f27(x383,x384,x382))
% 0.86/0.98 [39]~E(x391,x392)+E(f16(x391,x393),f16(x392,x393))
% 0.86/0.98 [40]~E(x401,x402)+E(f16(x403,x401),f16(x403,x402))
% 0.86/0.98 [41]~E(x411,x412)+E(f19(x411,x413),f19(x412,x413))
% 0.86/0.98 [42]~E(x421,x422)+E(f19(x423,x421),f19(x423,x422))
% 0.86/0.98 [43]~E(x431,x432)+E(f18(x431,x433,x434,x435),f18(x432,x433,x434,x435))
% 0.86/0.98 [44]~E(x441,x442)+E(f18(x443,x441,x444,x445),f18(x443,x442,x444,x445))
% 0.86/0.98 [45]~E(x451,x452)+E(f18(x453,x454,x451,x455),f18(x453,x454,x452,x455))
% 0.86/0.98 [46]~E(x461,x462)+E(f18(x463,x464,x465,x461),f18(x463,x464,x465,x462))
% 0.86/0.98 [47]~E(x471,x472)+E(f26(x471,x473),f26(x472,x473))
% 0.86/0.98 [48]~E(x481,x482)+E(f26(x483,x481),f26(x483,x482))
% 0.86/0.98 [49]~E(x491,x492)+E(f9(x491,x493),f9(x492,x493))
% 0.86/0.98 [50]~E(x501,x502)+E(f9(x503,x501),f9(x503,x502))
% 0.86/0.98 [51]~E(x511,x512)+E(f11(x511,x513),f11(x512,x513))
% 0.86/0.98 [52]~E(x521,x522)+E(f11(x523,x521),f11(x523,x522))
% 0.86/0.98 [53]~E(x531,x532)+E(f10(x531,x533),f10(x532,x533))
% 0.86/0.98 [54]~E(x541,x542)+E(f10(x543,x541),f10(x543,x542))
% 0.86/0.98 [55]~E(x551,x552)+E(f17(x551,x553),f17(x552,x553))
% 0.86/0.98 [56]~E(x561,x562)+E(f17(x563,x561),f17(x563,x562))
% 0.86/0.98 [57]~E(x571,x572)+E(f20(x571,x573),f20(x572,x573))
% 0.86/0.98 [58]~E(x581,x582)+E(f20(x583,x581),f20(x583,x582))
% 0.86/0.98 [59]~E(x591,x592)+E(f13(x591,x593),f13(x592,x593))
% 0.86/0.98 [60]~E(x601,x602)+E(f13(x603,x601),f13(x603,x602))
% 0.86/0.98 [61]~E(x611,x612)+E(f8(x611,x613),f8(x612,x613))
% 0.86/0.98 [62]~E(x621,x622)+E(f8(x623,x621),f8(x623,x622))
% 0.86/0.98 [63]~E(x631,x632)+E(f22(x631,x633,x634,x635),f22(x632,x633,x634,x635))
% 0.86/0.98 [64]~E(x641,x642)+E(f22(x643,x641,x644,x645),f22(x643,x642,x644,x645))
% 0.86/0.98 [65]~E(x651,x652)+E(f22(x653,x654,x651,x655),f22(x653,x654,x652,x655))
% 0.86/0.98 [66]~E(x661,x662)+E(f22(x663,x664,x665,x661),f22(x663,x664,x665,x662))
% 0.86/0.98 [67]~P1(x671)+P1(x672)+~E(x671,x672)
% 0.86/0.98 [68]P2(x682,x683)+~E(x681,x682)+~P2(x681,x683)
% 0.86/0.98 [69]P2(x693,x692)+~E(x691,x692)+~P2(x693,x691)
% 0.86/0.98 [70]P13(x702,x703)+~E(x701,x702)+~P13(x701,x703)
% 0.86/0.98 [71]P13(x713,x712)+~E(x711,x712)+~P13(x713,x711)
% 0.86/0.98 [72]P3(x722,x723,x724)+~E(x721,x722)+~P3(x721,x723,x724)
% 0.86/0.98 [73]P3(x733,x732,x734)+~E(x731,x732)+~P3(x733,x731,x734)
% 0.86/0.98 [74]P3(x743,x744,x742)+~E(x741,x742)+~P3(x743,x744,x741)
% 0.86/0.98 [75]~P4(x751)+P4(x752)+~E(x751,x752)
% 0.86/0.98 [76]P7(x762,x763)+~E(x761,x762)+~P7(x761,x763)
% 0.86/0.98 [77]P7(x773,x772)+~E(x771,x772)+~P7(x773,x771)
% 0.86/0.98 [78]P10(x782,x783)+~E(x781,x782)+~P10(x781,x783)
% 0.86/0.98 [79]P10(x793,x792)+~E(x791,x792)+~P10(x793,x791)
% 0.86/0.98 [80]P5(x802,x803,x804,x805)+~E(x801,x802)+~P5(x801,x803,x804,x805)
% 0.86/0.98 [81]P5(x813,x812,x814,x815)+~E(x811,x812)+~P5(x813,x811,x814,x815)
% 0.86/0.98 [82]P5(x823,x824,x822,x825)+~E(x821,x822)+~P5(x823,x824,x821,x825)
% 0.86/0.98 [83]P5(x833,x834,x835,x832)+~E(x831,x832)+~P5(x833,x834,x835,x831)
% 0.86/0.98 [84]~P11(x841)+P11(x842)+~E(x841,x842)
% 0.86/0.98 [85]P8(x852,x853)+~E(x851,x852)+~P8(x851,x853)
% 0.86/0.98 [86]P8(x863,x862)+~E(x861,x862)+~P8(x863,x861)
% 0.86/0.98 [87]P14(x872,x873)+~E(x871,x872)+~P14(x871,x873)
% 0.86/0.98 [88]P14(x883,x882)+~E(x881,x882)+~P14(x883,x881)
% 0.86/0.98 [89]P9(x892,x893)+~E(x891,x892)+~P9(x891,x893)
% 0.86/0.98 [90]P9(x903,x902)+~E(x901,x902)+~P9(x903,x901)
% 0.86/0.98 [91]P15(x912,x913,x914)+~E(x911,x912)+~P15(x911,x913,x914)
% 0.86/0.98 [92]P15(x923,x922,x924)+~E(x921,x922)+~P15(x923,x921,x924)
% 0.86/0.98 [93]P15(x933,x934,x932)+~E(x931,x932)+~P15(x933,x934,x931)
% 0.86/0.98 [94]P6(x942,x943,x944,x945)+~E(x941,x942)+~P6(x941,x943,x944,x945)
% 0.86/0.98 [95]P6(x953,x952,x954,x955)+~E(x951,x952)+~P6(x953,x951,x954,x955)
% 0.86/0.98 [96]P6(x963,x964,x962,x965)+~E(x961,x962)+~P6(x963,x964,x961,x965)
% 0.86/0.98 [97]P6(x973,x974,x975,x972)+~E(x971,x972)+~P6(x973,x974,x975,x971)
% 0.86/0.98 [98]P12(x982,x983,x984)+~E(x981,x982)+~P12(x981,x983,x984)
% 0.86/0.98 [99]P12(x993,x992,x994)+~E(x991,x992)+~P12(x993,x991,x994)
% 0.86/0.98 [100]P12(x1003,x1004,x1002)+~E(x1001,x1002)+~P12(x1003,x1004,x1001)
% 0.86/0.98
% 0.86/0.98 %-------------------------------------------
% 0.86/0.98 cnf(201,plain,
% 0.86/0.98 (~P7(f2(x2011),x2011)),
% 0.86/0.98 inference(scs_inference,[],[102,116])).
% 0.86/0.98 cnf(202,plain,
% 0.86/0.98 (P10(f21(x2021),x2021)),
% 0.86/0.98 inference(scs_inference,[],[102,103,116,112])).
% 0.86/0.98 cnf(203,plain,
% 0.86/0.98 (P8(f2(x2031),x2031)),
% 0.86/0.98 inference(scs_inference,[],[102,103,116,112,111])).
% 0.86/0.98 cnf(205,plain,
% 0.86/0.98 (P8(f21(x2051),f1(x2051))),
% 0.86/0.98 inference(scs_inference,[],[102,103,116,112,111,115])).
% 0.86/0.98 cnf(207,plain,
% 0.86/0.98 (P7(f15(f1(x2071)),f1(x2071))),
% 0.86/0.98 inference(scs_inference,[],[102,103,101,116,112,111,115,107])).
% 0.86/0.98 cnf(209,plain,
% 0.86/0.98 (P7(f6(f15(f1(x2091)),f1(x2091)),f1(x2091))),
% 0.86/0.98 inference(scs_inference,[],[102,103,101,116,112,111,115,107,132])).
% 0.86/0.98 cnf(211,plain,
% 0.86/0.98 (~E(f6(f15(f1(x2111)),f1(x2111)),f15(f1(x2111)))),
% 0.86/0.98 inference(scs_inference,[],[102,103,101,116,112,111,115,107,132,119])).
% 0.86/0.98 cnf(217,plain,
% 0.86/0.98 (P12(f2(x2171),f17(f2(x2171),x2171),f8(f2(x2171),x2171))),
% 0.86/0.98 inference(scs_inference,[],[104,102,103,101,116,112,111,115,107,132,119,131,172,156])).
% 0.86/0.98 cnf(219,plain,
% 0.86/0.98 (E(f33(f17(f2(x2191),x2191),f8(f2(x2191),x2191)),x2191)),
% 0.86/0.98 inference(scs_inference,[],[104,102,103,101,116,112,111,115,107,132,119,131,172,156,147])).
% 0.86/0.98 cnf(221,plain,
% 0.86/0.98 (P11(f4(f5(a30,a25),f5(a24,a25)))),
% 0.86/0.98 inference(scs_inference,[],[104,102,103,101,116,112,111,115,107,132,119,131,172,156,147,144])).
% 0.86/0.98 cnf(234,plain,
% 0.86/0.98 (~P12(x2341,f1(x2342),f1(x2342))),
% 0.86/0.98 inference(scs_inference,[],[104,102,103,101,116,112,111,115,107,132,119,131,172,156,147,144,84,77,76,139,138,137,136,162])).
% 0.86/0.98 cnf(238,plain,
% 0.86/0.98 (P8(f2(f1(x2381)),f17(f2(f1(x2381)),f1(x2381)))),
% 0.86/0.98 inference(scs_inference,[],[104,102,103,101,116,112,111,115,107,132,119,131,172,156,147,144,84,77,76,139,138,137,136,162,174,149])).
% 0.86/0.98 cnf(240,plain,
% 0.86/0.98 (P8(f2(f1(x2401)),f8(f2(f1(x2401)),f1(x2401)))),
% 0.86/0.98 inference(scs_inference,[],[104,102,103,101,116,112,111,115,107,132,119,131,172,156,147,144,84,77,76,139,138,137,136,162,174,149,148])).
% 0.86/0.98 cnf(242,plain,
% 0.86/0.98 (~P4(f1(x2421))),
% 0.86/0.98 inference(scs_inference,[],[104,102,103,101,116,112,111,115,107,132,119,131,172,156,147,144,84,77,76,139,138,137,136,162,174,149,148,109])).
% 0.86/0.98 cnf(244,plain,
% 0.86/0.98 (P11(f5(a24,a25))),
% 0.86/0.98 inference(scs_inference,[],[104,102,103,101,116,112,111,115,107,132,119,131,172,156,147,144,84,77,76,139,138,137,136,162,174,149,148,109,124])).
% 0.86/0.98 cnf(246,plain,
% 0.86/0.98 (P11(f5(a30,a25))),
% 0.86/0.98 inference(scs_inference,[],[104,102,103,101,116,112,111,115,107,132,119,131,172,156,147,144,84,77,76,139,138,137,136,162,174,149,148,109,124,123])).
% 0.86/0.98 cnf(251,plain,
% 0.86/0.98 (~E(f5(x2511,f21(f32(x2511))),f5(x2512,x2513))+P3(a30,a24,a25)),
% 0.86/0.98 inference(scs_inference,[],[104,102,103,101,116,112,111,115,107,132,119,131,172,156,147,144,84,77,76,139,138,137,136,162,174,149,148,109,124,123,120,133,177])).
% 0.86/0.98 cnf(273,plain,
% 0.86/0.98 (P3(a30,a24,a25)),
% 0.86/0.98 inference(equality_inference,[],[251])).
% 0.86/0.98 cnf(282,plain,
% 0.86/0.98 (~P5(x2821,f33(f17(f2(x2822),x2822),f8(f2(x2822),x2822)),x2823,x2822)),
% 0.86/0.98 inference(scs_inference,[],[219,211,2,181])).
% 0.86/0.98 cnf(286,plain,
% 0.86/0.98 (P7(f3(f1(x2861)),f1(x2861))),
% 0.86/0.98 inference(scs_inference,[],[219,209,211,242,2,181,110,105])).
% 0.86/0.98 cnf(290,plain,
% 0.86/0.98 (P11(f4(f4(f4(f5(a30,a25),f5(a24,a25)),f5(a30,a25)),f5(a24,a25)))),
% 0.86/0.98 inference(scs_inference,[],[219,209,211,242,221,2,181,110,105,114,169])).
% 0.86/0.98 cnf(292,plain,
% 0.86/0.98 (P8(f14(f1(x2921),f1(x2921),f21(x2921)),f1(x2921))),
% 0.86/0.98 inference(scs_inference,[],[219,209,211,205,234,242,221,2,181,110,105,114,169,173])).
% 0.86/0.98 cnf(293,plain,
% 0.86/0.98 (P8(f21(x2931),f1(x2931))),
% 0.86/0.98 inference(rename_variables,[],[205])).
% 0.86/0.98 cnf(294,plain,
% 0.86/0.98 (~P12(x2941,f1(x2942),f1(x2942))),
% 0.86/0.98 inference(rename_variables,[],[234])).
% 0.86/0.98 cnf(296,plain,
% 0.86/0.98 (P14(f13(x2961,f2(x2961)),x2961)),
% 0.86/0.98 inference(scs_inference,[],[219,209,211,201,203,205,234,242,221,2,181,110,105,114,169,173,139])).
% 0.86/0.98 cnf(297,plain,
% 0.86/0.98 (P8(f2(x2971),x2971)),
% 0.86/0.98 inference(rename_variables,[],[203])).
% 0.86/0.98 cnf(299,plain,
% 0.86/0.98 (P8(f2(x2991),f13(x2991,f2(x2991)))),
% 0.86/0.98 inference(scs_inference,[],[219,209,211,201,203,297,205,234,242,221,2,181,110,105,114,169,173,139,137])).
% 0.86/0.98 cnf(300,plain,
% 0.86/0.98 (P8(f2(x3001),x3001)),
% 0.86/0.98 inference(rename_variables,[],[203])).
% 0.86/0.98 cnf(302,plain,
% 0.86/0.98 (~P2(f6(f15(f1(x3021)),f1(x3021)),f1(x3021))),
% 0.86/0.98 inference(scs_inference,[],[219,209,211,201,203,297,205,234,242,221,2,181,110,105,114,169,173,139,137,116])).
% 0.86/0.98 cnf(305,plain,
% 0.86/0.99 (P8(f2(f1(x3051)),f17(f2(f1(x3051)),f1(x3051)))),
% 0.86/0.99 inference(rename_variables,[],[238])).
% 0.86/0.99 cnf(306,plain,
% 0.86/0.99 (P12(f2(x3061),f17(f2(x3061),x3061),f8(f2(x3061),x3061))),
% 0.86/0.99 inference(rename_variables,[],[217])).
% 0.86/0.99 cnf(309,plain,
% 0.86/0.99 (P8(f2(x3091),x3091)),
% 0.86/0.99 inference(rename_variables,[],[203])).
% 0.86/0.99 cnf(311,plain,
% 0.86/0.99 (P8(f2(x3111),f9(x3111,f2(x3111)))),
% 0.86/0.99 inference(scs_inference,[],[217,219,209,211,238,240,201,203,297,300,309,205,234,242,221,2,181,110,105,114,169,173,139,137,116,162,138,136])).
% 0.86/0.99 cnf(312,plain,
% 0.86/0.99 (P8(f2(x3121),x3121)),
% 0.86/0.99 inference(rename_variables,[],[203])).
% 0.86/0.99 cnf(316,plain,
% 0.86/0.99 (P8(f14(f1(x3161),f1(x3161),f6(f15(f1(x3161)),f1(x3161))),f1(x3161))),
% 0.86/0.99 inference(scs_inference,[],[217,306,219,209,211,238,305,240,201,203,297,300,309,205,234,294,242,221,2,181,110,105,114,169,173,139,137,116,162,138,136,161,174])).
% 0.86/0.99 cnf(317,plain,
% 0.86/0.99 (~P12(x3171,f1(x3172),f1(x3172))),
% 0.86/0.99 inference(rename_variables,[],[234])).
% 0.86/0.99 cnf(320,plain,
% 0.86/0.99 (~P14(f13(x3201,f2(x3201)),f9(x3201,f2(x3201)))),
% 0.86/0.99 inference(scs_inference,[],[217,306,219,209,211,238,305,240,201,203,297,300,309,312,205,234,294,242,221,2,181,110,105,114,169,173,139,137,116,162,138,136,161,174,81,159])).
% 0.86/0.99 cnf(321,plain,
% 0.86/0.99 (~P7(f2(x3211),x3211)),
% 0.86/0.99 inference(rename_variables,[],[201])).
% 0.86/0.99 cnf(324,plain,
% 0.86/0.99 (~P7(f2(x3241),x3241)),
% 0.86/0.99 inference(rename_variables,[],[201])).
% 0.86/0.99 cnf(326,plain,
% 0.86/0.99 (~P7(f14(f1(x3261),f1(x3261),f21(x3261)),f1(x3261))),
% 0.86/0.99 inference(scs_inference,[],[217,306,219,209,211,238,305,240,201,321,203,297,300,309,312,205,293,234,294,317,242,221,2,181,110,105,114,169,173,139,137,116,162,138,136,161,174,81,159,158,186])).
% 0.86/0.99 cnf(339,plain,
% 0.86/0.99 (~P10(f33(f17(f2(x3391),x3391),f8(f2(x3391),x3391)),x3392)+P10(x3391,x3392)),
% 0.86/0.99 inference(scs_inference,[],[217,306,219,209,211,238,305,240,201,321,324,203,297,300,309,312,205,293,234,294,317,242,221,2,181,110,105,114,169,173,139,137,116,162,138,136,161,174,81,159,158,186,76,106,97,93,90,85,78])).
% 0.86/0.99 cnf(341,plain,
% 0.86/0.99 (~P13(f33(f17(f2(x3411),x3411),f8(f2(x3411),x3411)),x3412)+P13(x3411,x3412)),
% 0.86/0.99 inference(scs_inference,[],[217,306,219,209,211,238,305,240,201,321,324,203,297,300,309,312,205,293,234,294,317,242,221,2,181,110,105,114,169,173,139,137,116,162,138,136,161,174,81,159,158,186,76,106,97,93,90,85,78,74,70])).
% 0.86/0.99 cnf(347,plain,
% 0.86/0.99 (~E(x3471,f9(x3471,f2(x3471)))),
% 0.86/0.99 inference(scs_inference,[],[320,296,88])).
% 0.86/0.99 cnf(352,plain,
% 0.86/0.99 (P8(f14(f1(x3521),f1(x3521),f21(x3521)),f1(x3521))),
% 0.86/0.99 inference(rename_variables,[],[292])).
% 0.86/0.99 cnf(358,plain,
% 0.86/0.99 (E(x3581,f33(f17(f2(x3581),x3581),f8(f2(x3581),x3581)))),
% 0.86/0.99 inference(scs_inference,[],[102,292,352,320,326,296,302,234,219,88,68,122,173,2])).
% 0.86/0.99 cnf(359,plain,
% 0.86/0.99 (~P5(x3591,x3592,x3593,x3592)),
% 0.86/0.99 inference(scs_inference,[],[102,292,352,320,326,296,302,282,234,219,88,68,122,173,2,81])).
% 0.86/0.99 cnf(361,plain,
% 0.86/0.99 (~P12(x3611,f13(x3612,f2(x3612)),x3612)),
% 0.86/0.99 inference(scs_inference,[],[102,201,292,352,320,326,296,299,302,282,273,203,234,219,88,68,122,173,2,81,74,161])).
% 0.86/0.99 cnf(363,plain,
% 0.86/0.99 (~P7(f2(x3631),x3631)),
% 0.86/0.99 inference(rename_variables,[],[201])).
% 0.86/0.99 cnf(365,plain,
% 0.86/0.99 (~P8(f2(f17(f2(x3651),x3651)),f8(f2(x3651),x3651))),
% 0.86/0.99 inference(scs_inference,[],[102,201,363,292,352,320,326,296,299,302,282,273,217,203,234,219,88,68,122,173,2,81,74,161,162])).
% 0.86/0.99 cnf(421,plain,
% 0.86/0.99 (P8(f2(x4211),f17(f2(x4211),x4211))),
% 0.86/0.99 inference(scs_inference,[],[217,149])).
% 0.86/0.99 cnf(424,plain,
% 0.86/0.99 (P8(f2(x4241),x4241)),
% 0.86/0.99 inference(rename_variables,[],[203])).
% 0.86/0.99 cnf(426,plain,
% 0.86/0.99 (E(x4261,f33(f17(f2(x4261),x4261),f8(f2(x4261),x4261)))),
% 0.86/0.99 inference(rename_variables,[],[358])).
% 0.86/0.99 cnf(429,plain,
% 0.86/0.99 (P2(f2(x4291),f33(f17(f2(x4291),x4291),f8(f2(x4291),x4291)))),
% 0.86/0.99 inference(scs_inference,[],[103,102,358,426,365,273,217,203,149,86,73,71,69])).
% 0.86/0.99 cnf(441,plain,
% 0.86/0.99 (P8(f2(x4411),f8(f2(x4411),x4411))),
% 0.86/0.99 inference(scs_inference,[],[103,102,358,426,365,286,359,202,273,217,203,219,149,86,73,71,69,83,79,72,110,111,148])).
% 0.86/0.99 cnf(449,plain,
% 0.86/0.99 (~P7(f2(x4491),x4491)),
% 0.86/0.99 inference(rename_variables,[],[201])).
% 0.86/0.99 cnf(452,plain,
% 0.86/0.99 (~P8(f2(f8(f2(x4521),x4521)),f17(f2(x4521),x4521))),
% 0.86/0.99 inference(scs_inference,[],[103,102,201,449,358,426,365,311,347,286,361,359,299,202,273,217,203,424,219,149,86,73,71,69,83,79,72,110,111,148,2,174,162,161])).
% 0.86/0.99 cnf(470,plain,
% 0.86/0.99 (P8(f2(x4701),f17(f2(x4701),x4701))),
% 0.86/0.99 inference(rename_variables,[],[421])).
% 0.86/0.99 cnf(479,plain,
% 0.86/0.99 (P7(f2(x4791),f8(f2(x4791),x4791))),
% 0.86/0.99 inference(scs_inference,[],[452,421,470,441,217,85,149,111,110,148,161])).
% 0.86/0.99 cnf(530,plain,
% 0.86/0.99 (~P10(a25,f32(a30))),
% 0.86/0.99 inference(scs_inference,[],[479,244,429,207,290,358,124,119,133,115,78,110,111,121])).
% 0.86/0.99 cnf(535,plain,
% 0.86/0.99 (P7(f6(f2(x5351),f8(f2(x5351),x5351)),f8(f2(x5351),x5351))),
% 0.86/0.99 inference(scs_inference,[],[479,244,429,207,290,358,124,119,133,115,78,110,111,121,198,168,132])).
% 0.86/0.99 cnf(537,plain,
% 0.86/0.99 (~P13(a25,f32(a30))),
% 0.86/0.99 inference(scs_inference,[],[479,244,429,207,290,358,124,119,133,115,78,110,111,121,198,168,132,112])).
% 0.86/0.99 cnf(584,plain,
% 0.86/0.99 ($false),
% 0.86/0.99 inference(scs_inference,[],[316,535,246,537,530,219,341,339,113,109,120,89,133]),
% 0.86/0.99 ['proof']).
% 0.86/0.99 % SZS output end Proof
% 0.86/0.99 % Total time :0.290000s
%------------------------------------------------------------------------------