TSTP Solution File: SET797+4 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET797+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/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 : Thu Aug 31 14:31:05 EDT 2023
% Result : Theorem 0.21s 0.74s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET797+4 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 09:31:10 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.56 start to proof:theBenchmark
% 0.21/0.73 %-------------------------------------------
% 0.21/0.73 % File :CSE---1.6
% 0.21/0.73 % Problem :theBenchmark
% 0.21/0.73 % Transform :cnf
% 0.21/0.73 % Format :tptp:raw
% 0.21/0.73 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.73
% 0.21/0.73 % Result :Theorem 0.060000s
% 0.21/0.73 % Output :CNFRefutation 0.060000s
% 0.21/0.73 %-------------------------------------------
% 0.21/0.73 %------------------------------------------------------------------------------
% 0.21/0.73 % File : SET797+4 : TPTP v8.1.2. Released v3.2.0.
% 0.21/0.73 % Domain : Set Theory (Order relations)
% 0.21/0.73 % Problem : If X subset Y, then an upper bound of Y is an upper bound of X
% 0.21/0.73 % Version : [Pas05] axioms.
% 0.21/0.73 % English :
% 0.21/0.73
% 0.21/0.73 % Refs : [Pas05] Pastre (2005), Email to G. Sutcliffe
% 0.21/0.73 % Source : [Pas05]
% 0.21/0.73 % Names :
% 0.21/0.73
% 0.21/0.73 % Status : Theorem
% 0.21/0.73 % Rating : 0.17 v7.5.0, 0.19 v7.4.0, 0.17 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.13 v7.0.0, 0.17 v6.4.0, 0.19 v6.3.0, 0.21 v6.2.0, 0.12 v6.1.0, 0.23 v6.0.0, 0.26 v5.5.0, 0.33 v5.4.0, 0.29 v5.3.0, 0.33 v5.2.0, 0.25 v5.1.0, 0.29 v4.1.0, 0.26 v4.0.0, 0.29 v3.7.0, 0.30 v3.5.0, 0.32 v3.4.0, 0.42 v3.3.0, 0.29 v3.2.0
% 0.21/0.74 % Syntax : Number of formulae : 22 ( 1 unt; 0 def)
% 0.21/0.74 % Number of atoms : 91 ( 6 equ)
% 0.21/0.74 % Maximal formula atoms : 14 ( 4 avg)
% 0.21/0.74 % Number of connectives : 71 ( 2 ~; 3 |; 27 &)
% 0.21/0.74 % ( 20 <=>; 19 =>; 0 <=; 0 <~>)
% 0.21/0.74 % Maximal formula depth : 12 ( 7 avg)
% 0.21/0.74 % Maximal term depth : 2 ( 1 avg)
% 0.21/0.74 % Number of predicates : 15 ( 14 usr; 0 prp; 2-4 aty)
% 0.21/0.74 % Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% 0.21/0.74 % Number of variables : 79 ( 78 !; 1 ?)
% 0.21/0.74 % SPC : FOF_THM_RFO_SEQ
% 0.21/0.74
% 0.21/0.74 % Comments :
% 0.21/0.74 %------------------------------------------------------------------------------
% 0.21/0.74 %----Include set theory definitions
% 0.21/0.74 include('Axioms/SET006+0.ax').
% 0.21/0.74 %----Include order relation axioms
% 0.21/0.74 include('Axioms/SET006+3.ax').
% 0.21/0.74 %------------------------------------------------------------------------------
% 0.21/0.74 fof(thIV9,conjecture,
% 0.21/0.74 ! [R,E] :
% 0.21/0.74 ( order(R,E)
% 0.21/0.74 => ! [X,Y] :
% 0.21/0.74 ( ( subset(X,E)
% 0.21/0.74 & subset(Y,E)
% 0.21/0.74 & subset(X,Y) )
% 0.21/0.74 => ! [M] :
% 0.21/0.74 ( upper_bound(M,R,Y)
% 0.21/0.74 => upper_bound(M,R,X) ) ) ) ).
% 0.21/0.74
% 0.21/0.74 %------------------------------------------------------------------------------
% 0.21/0.74 %-------------------------------------------
% 0.21/0.74 % Proof found
% 0.21/0.74 % SZS status Theorem for theBenchmark
% 0.21/0.74 % SZS output start Proof
% 0.21/0.74 %ClaNum:246(EqnAxiom:104)
% 0.21/0.74 %VarNum:1415(SingletonVarNum:350)
% 0.21/0.74 %MaxLitNum:7
% 0.21/0.74 %MaxfuncDepth:1
% 0.21/0.74 %SharedTerms:12
% 0.21/0.74 %goalClause: 105 106 107 108 109 111
% 0.21/0.74 %singleGoalClaCount:6
% 0.21/0.74 [105]P1(a1,a2)
% 0.21/0.74 [106]P1(a1,a10)
% 0.21/0.74 [107]P1(a10,a2)
% 0.21/0.74 [108]P2(a3,a2)
% 0.21/0.74 [109]P14(a11,a3,a10)
% 0.21/0.74 [111]~P14(a11,a3,a1)
% 0.21/0.74 [110]~P3(x1101,a4)
% 0.21/0.74 [114]~P4(x1142,x1141)+P1(x1141,x1142)
% 0.21/0.74 [115]~P4(x1151,x1152)+P1(x1151,x1152)
% 0.21/0.74 [116]~P15(x1161,x1162)+P2(x1161,x1162)
% 0.21/0.74 [117]~P5(x1171,x1172)+P2(x1171,x1172)
% 0.21/0.74 [118]~P2(x1181,x1182)+P5(x1181,x1182)
% 0.21/0.74 [112]~E(x1121,x1122)+P3(x1121,f12(x1122))
% 0.21/0.74 [113]E(x1131,x1132)+~P3(x1131,f12(x1132))
% 0.21/0.74 [119]~P1(x1191,x1192)+P3(x1191,f13(x1192))
% 0.21/0.74 [122]P1(x1221,x1222)+~P3(x1221,f13(x1222))
% 0.21/0.74 [123]P1(x1231,x1232)+P3(f14(x1231,x1232),x1231)
% 0.21/0.74 [126]P3(f16(x1261,x1262),x1262)+P3(x1261,f30(x1262))
% 0.21/0.74 [132]~P3(x1321,f33(x1322))+P3(x1321,f17(x1321,x1322))
% 0.21/0.74 [133]~P3(x1331,f33(x1332))+P3(f17(x1331,x1332),x1332)
% 0.21/0.74 [140]P1(x1401,x1402)+~P3(f14(x1401,x1402),x1402)
% 0.21/0.74 [141]~P3(x1411,f16(x1411,x1412))+P3(x1411,f30(x1412))
% 0.21/0.74 [146]P3(x1461,x1462)+~P7(x1461,x1463,x1462)
% 0.21/0.74 [147]P3(x1471,x1472)+~P8(x1471,x1473,x1472)
% 0.21/0.74 [148]P3(x1481,x1482)+~P10(x1481,x1483,x1482)
% 0.21/0.74 [149]P3(x1491,x1492)+~P13(x1491,x1493,x1492)
% 0.21/0.74 [120]~E(x1201,x1203)+P3(x1201,f31(x1202,x1203))
% 0.21/0.74 [121]~E(x1211,x1212)+P3(x1211,f31(x1212,x1213))
% 0.21/0.74 [127]~P3(x1271,x1273)+P3(x1271,f32(x1272,x1273))
% 0.21/0.74 [128]~P3(x1281,x1282)+P3(x1281,f32(x1282,x1283))
% 0.21/0.74 [137]P3(x1371,x1372)+~P3(x1371,f25(x1373,x1372))
% 0.21/0.74 [138]P3(x1381,x1382)+~P3(x1381,f25(x1382,x1383))
% 0.21/0.74 [139]P3(x1391,x1392)+~P3(x1391,f5(x1392,x1393))
% 0.21/0.74 [143]~P3(x1431,x1432)+~P3(x1431,f5(x1433,x1432))
% 0.21/0.74 [165]P14(x1651,x1652,x1653)+P3(f26(x1652,x1653,x1651),x1653)
% 0.21/0.74 [166]P11(x1661,x1662,x1663)+P3(f27(x1662,x1663,x1661),x1663)
% 0.21/0.74 [207]P11(x2071,x2072,x2073)+~P6(x2072,x2071,f27(x2072,x2073,x2071))
% 0.21/0.74 [208]P14(x2081,x2082,x2083)+~P6(x2082,f26(x2082,x2083,x2081),x2081)
% 0.21/0.74 [233]P3(x2331,x2332)+~P12(x2331,x2332,x2333,x2334)
% 0.21/0.74 [234]P3(x2341,x2342)+~P9(x2341,x2342,x2343,x2344)
% 0.21/0.74 [235]P14(x2351,x2352,x2353)+~P12(x2351,x2353,x2352,x2354)
% 0.21/0.74 [236]P11(x2361,x2362,x2363)+~P9(x2361,x2363,x2362,x2364)
% 0.21/0.74 [125]~P1(x1252,x1251)+~P1(x1251,x1252)+P4(x1251,x1252)
% 0.21/0.74 [135]~P2(x1351,x1352)+P15(x1351,x1352)+P3(f23(x1351,x1352),x1352)
% 0.21/0.74 [136]~P2(x1361,x1362)+P15(x1361,x1362)+P3(f24(x1361,x1362),x1362)
% 0.21/0.74 [184]~P2(x1841,x1842)+P15(x1841,x1842)+~P6(x1841,f23(x1841,x1842),f24(x1841,x1842))
% 0.21/0.74 [185]~P2(x1851,x1852)+P15(x1851,x1852)+~P6(x1851,f24(x1851,x1852),f23(x1851,x1852))
% 0.21/0.74 [124]~P3(x1241,x1243)+P3(x1241,x1242)+~P1(x1243,x1242)
% 0.21/0.74 [145]~P5(x1451,x1453)+P6(x1451,x1452,x1452)+~P3(x1452,x1453)
% 0.21/0.74 [129]~P3(x1293,x1292)+~P3(x1291,x1293)+P3(x1291,f33(x1292))
% 0.21/0.74 [130]E(x1301,x1302)+E(x1301,x1303)+~P3(x1301,f31(x1303,x1302))
% 0.21/0.74 [131]P3(x1311,x1312)+~P3(x1312,x1313)+~P3(x1311,f30(x1313))
% 0.21/0.74 [134]~P3(x1341,x1343)+P3(x1341,x1342)+P3(x1341,f5(x1343,x1342))
% 0.21/0.74 [142]~P3(x1421,x1423)+~P3(x1421,x1422)+P3(x1421,f25(x1422,x1423))
% 0.21/0.74 [144]P3(x1441,x1442)+P3(x1441,x1443)+~P3(x1441,f32(x1443,x1442))
% 0.21/0.74 [163]~P3(x1631,x1633)+P10(x1631,x1632,x1633)+~E(f6(x1632,x1633,x1631),x1631)
% 0.21/0.74 [164]~P3(x1641,x1643)+P13(x1641,x1642,x1643)+~E(f7(x1642,x1643,x1641),x1641)
% 0.21/0.74 [170]~P3(x1701,x1703)+P7(x1701,x1702,x1703)+P3(f28(x1702,x1703,x1701),x1703)
% 0.21/0.74 [171]~P3(x1711,x1713)+P8(x1711,x1712,x1713)+P3(f29(x1712,x1713,x1711),x1713)
% 0.21/0.74 [172]~P3(x1721,x1723)+P10(x1721,x1722,x1723)+P3(f6(x1722,x1723,x1721),x1723)
% 0.21/0.74 [173]~P3(x1731,x1733)+P13(x1731,x1732,x1733)+P3(f7(x1732,x1733,x1731),x1733)
% 0.21/0.74 [188]~P3(x1881,x1883)+P10(x1881,x1882,x1883)+P6(x1882,x1881,f6(x1882,x1883,x1881))
% 0.21/0.74 [189]~P3(x1891,x1893)+P13(x1891,x1892,x1893)+P6(x1892,f7(x1892,x1893,x1891),x1891)
% 0.21/0.74 [222]~P3(x2221,x2223)+P8(x2221,x2222,x2223)+~P6(x2222,x2221,f29(x2222,x2223,x2221))
% 0.21/0.74 [223]~P3(x2231,x2233)+P7(x2231,x2232,x2233)+~P6(x2232,f28(x2232,x2233,x2231),x2231)
% 0.21/0.74 [159]~P8(x1592,x1591,x1594)+P6(x1591,x1592,x1593)+~P3(x1593,x1594)
% 0.21/0.74 [160]~P7(x1603,x1601,x1604)+P6(x1601,x1602,x1603)+~P3(x1602,x1604)
% 0.21/0.74 [161]~P14(x1613,x1611,x1614)+P6(x1611,x1612,x1613)+~P3(x1612,x1614)
% 0.21/0.74 [162]~P11(x1622,x1621,x1624)+P6(x1621,x1622,x1623)+~P3(x1623,x1624)
% 0.21/0.74 [150]P5(x1501,x1502)+P3(f15(x1502,x1501),x1502)+P3(f18(x1502,x1501),x1502)+P3(f19(x1502,x1501),x1502)
% 0.21/0.74 [151]P5(x1511,x1512)+P3(f15(x1512,x1511),x1512)+P3(f18(x1512,x1511),x1512)+P3(f21(x1512,x1511),x1512)
% 0.21/0.74 [152]P5(x1521,x1522)+P3(f15(x1522,x1521),x1522)+P3(f18(x1522,x1521),x1522)+P3(f22(x1522,x1521),x1522)
% 0.21/0.74 [153]P5(x1531,x1532)+P3(f15(x1532,x1531),x1532)+P3(f20(x1532,x1531),x1532)+P3(f19(x1532,x1531),x1532)
% 0.21/0.74 [154]P5(x1541,x1542)+P3(f15(x1542,x1541),x1542)+P3(f20(x1542,x1541),x1542)+P3(f21(x1542,x1541),x1542)
% 0.21/0.74 [155]P5(x1551,x1552)+P3(f15(x1552,x1551),x1552)+P3(f20(x1552,x1551),x1552)+P3(f22(x1552,x1551),x1552)
% 0.21/0.74 [156]P5(x1561,x1562)+P3(f15(x1562,x1561),x1562)+P3(f19(x1562,x1561),x1562)+~E(f20(x1562,x1561),f18(x1562,x1561))
% 0.21/0.74 [157]P5(x1571,x1572)+P3(f15(x1572,x1571),x1572)+P3(f21(x1572,x1571),x1572)+~E(f20(x1572,x1571),f18(x1572,x1571))
% 0.21/0.74 [158]P5(x1581,x1582)+P3(f15(x1582,x1581),x1582)+P3(f22(x1582,x1581),x1582)+~E(f20(x1582,x1581),f18(x1582,x1581))
% 0.21/0.74 [174]P5(x1741,x1742)+P6(x1741,f18(x1742,x1741),f20(x1742,x1741))+P3(f15(x1742,x1741),x1742)+P3(f19(x1742,x1741),x1742)
% 0.21/0.74 [175]P5(x1751,x1752)+P6(x1751,f20(x1752,x1751),f18(x1752,x1751))+P3(f15(x1752,x1751),x1752)+P3(f19(x1752,x1751),x1752)
% 0.21/0.74 [176]P5(x1761,x1762)+P6(x1761,f18(x1762,x1761),f20(x1762,x1761))+P3(f15(x1762,x1761),x1762)+P3(f21(x1762,x1761),x1762)
% 0.21/0.74 [177]P5(x1771,x1772)+P6(x1771,f20(x1772,x1771),f18(x1772,x1771))+P3(f15(x1772,x1771),x1772)+P3(f21(x1772,x1771),x1772)
% 0.21/0.74 [178]P5(x1781,x1782)+P6(x1781,f18(x1782,x1781),f20(x1782,x1781))+P3(f15(x1782,x1781),x1782)+P3(f22(x1782,x1781),x1782)
% 0.21/0.74 [179]P5(x1791,x1792)+P6(x1791,f20(x1792,x1791),f18(x1792,x1791))+P3(f15(x1792,x1791),x1792)+P3(f22(x1792,x1791),x1792)
% 0.21/0.74 [180]P5(x1801,x1802)+P6(x1801,f19(x1802,x1801),f21(x1802,x1801))+P3(f15(x1802,x1801),x1802)+P3(f18(x1802,x1801),x1802)
% 0.21/0.74 [181]P5(x1811,x1812)+P6(x1811,f21(x1812,x1811),f22(x1812,x1811))+P3(f15(x1812,x1811),x1812)+P3(f18(x1812,x1811),x1812)
% 0.21/0.74 [182]P5(x1821,x1822)+P6(x1821,f19(x1822,x1821),f21(x1822,x1821))+P3(f15(x1822,x1821),x1822)+P3(f20(x1822,x1821),x1822)
% 0.21/0.74 [183]P5(x1831,x1832)+P6(x1831,f21(x1832,x1831),f22(x1832,x1831))+P3(f15(x1832,x1831),x1832)+P3(f20(x1832,x1831),x1832)
% 0.21/0.74 [186]P5(x1861,x1862)+P6(x1861,f19(x1862,x1861),f21(x1862,x1861))+P3(f15(x1862,x1861),x1862)+~E(f20(x1862,x1861),f18(x1862,x1861))
% 0.21/0.74 [187]P5(x1871,x1872)+P6(x1871,f21(x1872,x1871),f22(x1872,x1871))+P3(f15(x1872,x1871),x1872)+~E(f20(x1872,x1871),f18(x1872,x1871))
% 0.21/0.74 [191]P5(x1911,x1912)+~P6(x1911,f15(x1912,x1911),f15(x1912,x1911))+P3(f18(x1912,x1911),x1912)+P3(f19(x1912,x1911),x1912)
% 0.21/0.74 [192]P5(x1921,x1922)+~P6(x1921,f15(x1922,x1921),f15(x1922,x1921))+P3(f18(x1922,x1921),x1922)+P3(f21(x1922,x1921),x1922)
% 0.21/0.74 [193]P5(x1931,x1932)+~P6(x1931,f15(x1932,x1931),f15(x1932,x1931))+P3(f18(x1932,x1931),x1932)+P3(f22(x1932,x1931),x1932)
% 0.21/0.74 [194]P5(x1941,x1942)+~P6(x1941,f15(x1942,x1941),f15(x1942,x1941))+P3(f20(x1942,x1941),x1942)+P3(f19(x1942,x1941),x1942)
% 0.21/0.74 [195]P5(x1951,x1952)+~P6(x1951,f15(x1952,x1951),f15(x1952,x1951))+P3(f20(x1952,x1951),x1952)+P3(f21(x1952,x1951),x1952)
% 0.21/0.74 [196]P5(x1961,x1962)+~P6(x1961,f15(x1962,x1961),f15(x1962,x1961))+P3(f20(x1962,x1961),x1962)+P3(f22(x1962,x1961),x1962)
% 0.21/0.74 [197]P5(x1971,x1972)+~P6(x1971,f19(x1972,x1971),f22(x1972,x1971))+P3(f15(x1972,x1971),x1972)+P3(f18(x1972,x1971),x1972)
% 0.21/0.74 [198]P5(x1981,x1982)+~P6(x1981,f19(x1982,x1981),f22(x1982,x1981))+P3(f15(x1982,x1981),x1982)+P3(f20(x1982,x1981),x1982)
% 0.21/0.74 [199]P5(x1991,x1992)+~P6(x1991,f15(x1992,x1991),f15(x1992,x1991))+P3(f19(x1992,x1991),x1992)+~E(f20(x1992,x1991),f18(x1992,x1991))
% 0.21/0.74 [200]P5(x2001,x2002)+~P6(x2001,f15(x2002,x2001),f15(x2002,x2001))+P3(f21(x2002,x2001),x2002)+~E(f20(x2002,x2001),f18(x2002,x2001))
% 0.21/0.74 [201]P5(x2011,x2012)+~P6(x2011,f15(x2012,x2011),f15(x2012,x2011))+P3(f22(x2012,x2011),x2012)+~E(f20(x2012,x2011),f18(x2012,x2011))
% 0.21/0.74 [202]P5(x2021,x2022)+~P6(x2021,f19(x2022,x2021),f22(x2022,x2021))+P3(f15(x2022,x2021),x2022)+~E(f20(x2022,x2021),f18(x2022,x2021))
% 0.21/0.74 [203]P5(x2031,x2032)+P6(x2031,f18(x2032,x2031),f20(x2032,x2031))+P6(x2031,f19(x2032,x2031),f21(x2032,x2031))+P3(f15(x2032,x2031),x2032)
% 0.21/0.74 [204]P5(x2041,x2042)+P6(x2041,f18(x2042,x2041),f20(x2042,x2041))+P6(x2041,f21(x2042,x2041),f22(x2042,x2041))+P3(f15(x2042,x2041),x2042)
% 0.21/0.74 [205]P5(x2051,x2052)+P6(x2051,f20(x2052,x2051),f18(x2052,x2051))+P6(x2051,f19(x2052,x2051),f21(x2052,x2051))+P3(f15(x2052,x2051),x2052)
% 0.21/0.74 [206]P5(x2061,x2062)+P6(x2061,f20(x2062,x2061),f18(x2062,x2061))+P6(x2061,f21(x2062,x2061),f22(x2062,x2061))+P3(f15(x2062,x2061),x2062)
% 0.21/0.74 [210]P5(x2101,x2102)+P6(x2101,f18(x2102,x2101),f20(x2102,x2101))+~P6(x2101,f15(x2102,x2101),f15(x2102,x2101))+P3(f19(x2102,x2101),x2102)
% 0.21/0.74 [211]P5(x2111,x2112)+P6(x2111,f20(x2112,x2111),f18(x2112,x2111))+~P6(x2111,f15(x2112,x2111),f15(x2112,x2111))+P3(f19(x2112,x2111),x2112)
% 0.21/0.74 [212]P5(x2121,x2122)+P6(x2121,f18(x2122,x2121),f20(x2122,x2121))+~P6(x2121,f15(x2122,x2121),f15(x2122,x2121))+P3(f21(x2122,x2121),x2122)
% 0.21/0.74 [213]P5(x2131,x2132)+P6(x2131,f20(x2132,x2131),f18(x2132,x2131))+~P6(x2131,f15(x2132,x2131),f15(x2132,x2131))+P3(f21(x2132,x2131),x2132)
% 0.21/0.74 [214]P5(x2141,x2142)+P6(x2141,f18(x2142,x2141),f20(x2142,x2141))+~P6(x2141,f15(x2142,x2141),f15(x2142,x2141))+P3(f22(x2142,x2141),x2142)
% 0.21/0.74 [215]P5(x2151,x2152)+P6(x2151,f20(x2152,x2151),f18(x2152,x2151))+~P6(x2151,f15(x2152,x2151),f15(x2152,x2151))+P3(f22(x2152,x2151),x2152)
% 0.21/0.74 [216]P5(x2161,x2162)+P6(x2161,f18(x2162,x2161),f20(x2162,x2161))+~P6(x2161,f19(x2162,x2161),f22(x2162,x2161))+P3(f15(x2162,x2161),x2162)
% 0.21/0.74 [217]P5(x2171,x2172)+P6(x2171,f20(x2172,x2171),f18(x2172,x2171))+~P6(x2171,f19(x2172,x2171),f22(x2172,x2171))+P3(f15(x2172,x2171),x2172)
% 0.21/0.74 [218]P5(x2181,x2182)+P6(x2181,f19(x2182,x2181),f21(x2182,x2181))+~P6(x2181,f15(x2182,x2181),f15(x2182,x2181))+P3(f18(x2182,x2181),x2182)
% 0.21/0.74 [219]P5(x2191,x2192)+P6(x2191,f21(x2192,x2191),f22(x2192,x2191))+~P6(x2191,f15(x2192,x2191),f15(x2192,x2191))+P3(f18(x2192,x2191),x2192)
% 0.21/0.74 [220]P5(x2201,x2202)+P6(x2201,f19(x2202,x2201),f21(x2202,x2201))+~P6(x2201,f15(x2202,x2201),f15(x2202,x2201))+P3(f20(x2202,x2201),x2202)
% 0.21/0.74 [221]P5(x2211,x2212)+P6(x2211,f21(x2212,x2211),f22(x2212,x2211))+~P6(x2211,f15(x2212,x2211),f15(x2212,x2211))+P3(f20(x2212,x2211),x2212)
% 0.21/0.74 [224]P5(x2241,x2242)+P6(x2241,f19(x2242,x2241),f21(x2242,x2241))+~P6(x2241,f15(x2242,x2241),f15(x2242,x2241))+~E(f20(x2242,x2241),f18(x2242,x2241))
% 0.21/0.74 [225]P5(x2251,x2252)+P6(x2251,f21(x2252,x2251),f22(x2252,x2251))+~P6(x2251,f15(x2252,x2251),f15(x2252,x2251))+~E(f20(x2252,x2251),f18(x2252,x2251))
% 0.21/0.74 [226]P5(x2261,x2262)+~P6(x2261,f15(x2262,x2261),f15(x2262,x2261))+~P6(x2261,f19(x2262,x2261),f22(x2262,x2261))+P3(f18(x2262,x2261),x2262)
% 0.21/0.74 [227]P5(x2271,x2272)+~P6(x2271,f15(x2272,x2271),f15(x2272,x2271))+~P6(x2271,f19(x2272,x2271),f22(x2272,x2271))+P3(f20(x2272,x2271),x2272)
% 0.21/0.74 [228]P5(x2281,x2282)+~P6(x2281,f15(x2282,x2281),f15(x2282,x2281))+~P6(x2281,f19(x2282,x2281),f22(x2282,x2281))+~E(f20(x2282,x2281),f18(x2282,x2281))
% 0.21/0.74 [229]P5(x2291,x2292)+P6(x2291,f18(x2292,x2291),f20(x2292,x2291))+P6(x2291,f19(x2292,x2291),f21(x2292,x2291))+~P6(x2291,f15(x2292,x2291),f15(x2292,x2291))
% 0.21/0.74 [230]P5(x2301,x2302)+P6(x2301,f18(x2302,x2301),f20(x2302,x2301))+P6(x2301,f21(x2302,x2301),f22(x2302,x2301))+~P6(x2301,f15(x2302,x2301),f15(x2302,x2301))
% 0.21/0.74 [231]P5(x2311,x2312)+P6(x2311,f20(x2312,x2311),f18(x2312,x2311))+P6(x2311,f19(x2312,x2311),f21(x2312,x2311))+~P6(x2311,f15(x2312,x2311),f15(x2312,x2311))
% 0.21/0.74 [232]P5(x2321,x2322)+P6(x2321,f20(x2322,x2321),f18(x2322,x2321))+P6(x2321,f21(x2322,x2321),f22(x2322,x2321))+~P6(x2321,f15(x2322,x2321),f15(x2322,x2321))
% 0.21/0.74 [237]P5(x2371,x2372)+P6(x2371,f18(x2372,x2371),f20(x2372,x2371))+~P6(x2371,f15(x2372,x2371),f15(x2372,x2371))+~P6(x2371,f19(x2372,x2371),f22(x2372,x2371))
% 0.21/0.74 [238]P5(x2381,x2382)+P6(x2381,f20(x2382,x2381),f18(x2382,x2381))+~P6(x2381,f15(x2382,x2381),f15(x2382,x2381))+~P6(x2381,f19(x2382,x2381),f22(x2382,x2381))
% 0.21/0.74 [168]~P10(x1682,x1684,x1683)+E(x1681,x1682)+~P6(x1684,x1682,x1681)+~P3(x1681,x1683)
% 0.21/0.74 [169]~P13(x1692,x1694,x1693)+E(x1691,x1692)+~P6(x1694,x1691,x1692)+~P3(x1691,x1693)
% 0.21/0.74 [241]~P3(x2411,x2412)+~P14(x2411,x2413,x2412)+P12(x2411,x2412,x2413,x2414)+P3(f8(x2411,x2412,x2413,x2414),x2414)
% 0.21/0.74 [242]~P3(x2421,x2422)+~P11(x2421,x2423,x2422)+P9(x2421,x2422,x2423,x2424)+P3(f9(x2421,x2422,x2423,x2424),x2424)
% 0.21/0.74 [243]~P3(x2431,x2432)+~P14(x2431,x2433,x2432)+P12(x2431,x2432,x2433,x2434)+P14(f8(x2431,x2432,x2433,x2434),x2433,x2432)
% 0.21/0.74 [244]~P3(x2441,x2442)+~P11(x2441,x2443,x2442)+P9(x2441,x2442,x2443,x2444)+P11(f9(x2441,x2442,x2443,x2444),x2443,x2442)
% 0.21/0.74 [245]~P3(x2451,x2452)+~P14(x2451,x2453,x2452)+P12(x2451,x2452,x2453,x2454)+~P6(x2453,x2451,f8(x2451,x2452,x2453,x2454))
% 0.21/0.74 [246]~P3(x2461,x2462)+~P11(x2461,x2463,x2462)+P9(x2461,x2462,x2463,x2464)+~P6(x2463,f9(x2461,x2462,x2463,x2464),x2461)
% 0.21/0.74 [239]~P12(x2392,x2395,x2391,x2394)+P6(x2391,x2392,x2393)+~P14(x2393,x2391,x2395)+~P3(x2393,x2394)
% 0.21/0.74 [240]~P9(x2403,x2405,x2401,x2404)+P6(x2401,x2402,x2403)+~P11(x2402,x2401,x2405)+~P3(x2402,x2404)
% 0.21/0.74 [167]P6(x1671,x1673,x1672)+~P3(x1673,x1674)+~P15(x1671,x1674)+P6(x1671,x1672,x1673)+~P3(x1672,x1674)
% 0.21/0.74 [190]~P3(x1901,x1903)+~P6(x1904,x1902,x1901)+~P6(x1904,x1901,x1902)+E(x1901,x1902)+~P3(x1902,x1903)+~P5(x1904,x1903)
% 0.21/0.74 [209]~P3(x2092,x2094)+~P5(x2091,x2094)+~P6(x2091,x2095,x2093)+~P6(x2091,x2092,x2095)+P6(x2091,x2092,x2093)+~P3(x2093,x2094)+~P3(x2095,x2094)
% 0.21/0.74 %EqnAxiom
% 0.21/0.74 [1]E(x11,x11)
% 0.21/0.74 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.74 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.74 [4]~E(x41,x42)+E(f12(x41),f12(x42))
% 0.21/0.74 [5]~E(x51,x52)+E(f9(x51,x53,x54,x55),f9(x52,x53,x54,x55))
% 0.21/0.74 [6]~E(x61,x62)+E(f9(x63,x61,x64,x65),f9(x63,x62,x64,x65))
% 0.21/0.74 [7]~E(x71,x72)+E(f9(x73,x74,x71,x75),f9(x73,x74,x72,x75))
% 0.21/0.75 [8]~E(x81,x82)+E(f9(x83,x84,x85,x81),f9(x83,x84,x85,x82))
% 0.21/0.75 [9]~E(x91,x92)+E(f13(x91),f13(x92))
% 0.21/0.75 [10]~E(x101,x102)+E(f31(x101,x103),f31(x102,x103))
% 0.21/0.75 [11]~E(x111,x112)+E(f31(x113,x111),f31(x113,x112))
% 0.21/0.75 [12]~E(x121,x122)+E(f8(x121,x123,x124,x125),f8(x122,x123,x124,x125))
% 0.21/0.75 [13]~E(x131,x132)+E(f8(x133,x131,x134,x135),f8(x133,x132,x134,x135))
% 0.21/0.75 [14]~E(x141,x142)+E(f8(x143,x144,x141,x145),f8(x143,x144,x142,x145))
% 0.21/0.75 [15]~E(x151,x152)+E(f8(x153,x154,x155,x151),f8(x153,x154,x155,x152))
% 0.21/0.75 [16]~E(x161,x162)+E(f22(x161,x163),f22(x162,x163))
% 0.21/0.75 [17]~E(x171,x172)+E(f22(x173,x171),f22(x173,x172))
% 0.21/0.75 [18]~E(x181,x182)+E(f14(x181,x183),f14(x182,x183))
% 0.21/0.75 [19]~E(x191,x192)+E(f14(x193,x191),f14(x193,x192))
% 0.21/0.75 [20]~E(x201,x202)+E(f30(x201),f30(x202))
% 0.21/0.75 [21]~E(x211,x212)+E(f16(x211,x213),f16(x212,x213))
% 0.21/0.75 [22]~E(x221,x222)+E(f16(x223,x221),f16(x223,x222))
% 0.21/0.75 [23]~E(x231,x232)+E(f32(x231,x233),f32(x232,x233))
% 0.21/0.75 [24]~E(x241,x242)+E(f32(x243,x241),f32(x243,x242))
% 0.21/0.75 [25]~E(x251,x252)+E(f18(x251,x253),f18(x252,x253))
% 0.21/0.75 [26]~E(x261,x262)+E(f18(x263,x261),f18(x263,x262))
% 0.21/0.75 [27]~E(x271,x272)+E(f33(x271),f33(x272))
% 0.21/0.75 [28]~E(x281,x282)+E(f19(x281,x283),f19(x282,x283))
% 0.21/0.75 [29]~E(x291,x292)+E(f19(x293,x291),f19(x293,x292))
% 0.21/0.75 [30]~E(x301,x302)+E(f21(x301,x303),f21(x302,x303))
% 0.21/0.75 [31]~E(x311,x312)+E(f21(x313,x311),f21(x313,x312))
% 0.21/0.75 [32]~E(x321,x322)+E(f17(x321,x323),f17(x322,x323))
% 0.21/0.75 [33]~E(x331,x332)+E(f17(x333,x331),f17(x333,x332))
% 0.21/0.75 [34]~E(x341,x342)+E(f20(x341,x343),f20(x342,x343))
% 0.21/0.75 [35]~E(x351,x352)+E(f20(x353,x351),f20(x353,x352))
% 0.21/0.75 [36]~E(x361,x362)+E(f15(x361,x363),f15(x362,x363))
% 0.21/0.75 [37]~E(x371,x372)+E(f15(x373,x371),f15(x373,x372))
% 0.21/0.75 [38]~E(x381,x382)+E(f7(x381,x383,x384),f7(x382,x383,x384))
% 0.21/0.75 [39]~E(x391,x392)+E(f7(x393,x391,x394),f7(x393,x392,x394))
% 0.21/0.75 [40]~E(x401,x402)+E(f7(x403,x404,x401),f7(x403,x404,x402))
% 0.21/0.75 [41]~E(x411,x412)+E(f5(x411,x413),f5(x412,x413))
% 0.21/0.75 [42]~E(x421,x422)+E(f5(x423,x421),f5(x423,x422))
% 0.21/0.75 [43]~E(x431,x432)+E(f23(x431,x433),f23(x432,x433))
% 0.21/0.75 [44]~E(x441,x442)+E(f23(x443,x441),f23(x443,x442))
% 0.21/0.75 [45]~E(x451,x452)+E(f24(x451,x453),f24(x452,x453))
% 0.21/0.75 [46]~E(x461,x462)+E(f24(x463,x461),f24(x463,x462))
% 0.21/0.75 [47]~E(x471,x472)+E(f25(x471,x473),f25(x472,x473))
% 0.21/0.75 [48]~E(x481,x482)+E(f25(x483,x481),f25(x483,x482))
% 0.21/0.75 [49]~E(x491,x492)+E(f6(x491,x493,x494),f6(x492,x493,x494))
% 0.21/0.75 [50]~E(x501,x502)+E(f6(x503,x501,x504),f6(x503,x502,x504))
% 0.21/0.75 [51]~E(x511,x512)+E(f6(x513,x514,x511),f6(x513,x514,x512))
% 0.21/0.75 [52]~E(x521,x522)+E(f26(x521,x523,x524),f26(x522,x523,x524))
% 0.21/0.75 [53]~E(x531,x532)+E(f26(x533,x531,x534),f26(x533,x532,x534))
% 0.21/0.75 [54]~E(x541,x542)+E(f26(x543,x544,x541),f26(x543,x544,x542))
% 0.21/0.75 [55]~E(x551,x552)+E(f27(x551,x553,x554),f27(x552,x553,x554))
% 0.21/0.75 [56]~E(x561,x562)+E(f27(x563,x561,x564),f27(x563,x562,x564))
% 0.21/0.75 [57]~E(x571,x572)+E(f27(x573,x574,x571),f27(x573,x574,x572))
% 0.21/0.75 [58]~E(x581,x582)+E(f29(x581,x583,x584),f29(x582,x583,x584))
% 0.21/0.75 [59]~E(x591,x592)+E(f29(x593,x591,x594),f29(x593,x592,x594))
% 0.21/0.75 [60]~E(x601,x602)+E(f29(x603,x604,x601),f29(x603,x604,x602))
% 0.21/0.75 [61]~E(x611,x612)+E(f28(x611,x613,x614),f28(x612,x613,x614))
% 0.21/0.75 [62]~E(x621,x622)+E(f28(x623,x621,x624),f28(x623,x622,x624))
% 0.21/0.75 [63]~E(x631,x632)+E(f28(x633,x634,x631),f28(x633,x634,x632))
% 0.21/0.75 [64]P1(x642,x643)+~E(x641,x642)+~P1(x641,x643)
% 0.21/0.75 [65]P1(x653,x652)+~E(x651,x652)+~P1(x653,x651)
% 0.21/0.75 [66]P6(x662,x663,x664)+~E(x661,x662)+~P6(x661,x663,x664)
% 0.21/0.75 [67]P6(x673,x672,x674)+~E(x671,x672)+~P6(x673,x671,x674)
% 0.21/0.75 [68]P6(x683,x684,x682)+~E(x681,x682)+~P6(x683,x684,x681)
% 0.21/0.75 [69]P11(x692,x693,x694)+~E(x691,x692)+~P11(x691,x693,x694)
% 0.21/0.75 [70]P11(x703,x702,x704)+~E(x701,x702)+~P11(x703,x701,x704)
% 0.21/0.75 [71]P11(x713,x714,x712)+~E(x711,x712)+~P11(x713,x714,x711)
% 0.21/0.75 [72]P2(x722,x723)+~E(x721,x722)+~P2(x721,x723)
% 0.21/0.75 [73]P2(x733,x732)+~E(x731,x732)+~P2(x733,x731)
% 0.21/0.75 [74]P14(x742,x743,x744)+~E(x741,x742)+~P14(x741,x743,x744)
% 0.21/0.75 [75]P14(x753,x752,x754)+~E(x751,x752)+~P14(x753,x751,x754)
% 0.21/0.75 [76]P14(x763,x764,x762)+~E(x761,x762)+~P14(x763,x764,x761)
% 0.21/0.75 [77]P3(x772,x773)+~E(x771,x772)+~P3(x771,x773)
% 0.21/0.75 [78]P3(x783,x782)+~E(x781,x782)+~P3(x783,x781)
% 0.21/0.75 [79]P5(x792,x793)+~E(x791,x792)+~P5(x791,x793)
% 0.21/0.75 [80]P5(x803,x802)+~E(x801,x802)+~P5(x803,x801)
% 0.21/0.75 [81]P8(x812,x813,x814)+~E(x811,x812)+~P8(x811,x813,x814)
% 0.21/0.75 [82]P8(x823,x822,x824)+~E(x821,x822)+~P8(x823,x821,x824)
% 0.21/0.75 [83]P8(x833,x834,x832)+~E(x831,x832)+~P8(x833,x834,x831)
% 0.21/0.75 [84]P7(x842,x843,x844)+~E(x841,x842)+~P7(x841,x843,x844)
% 0.21/0.75 [85]P7(x853,x852,x854)+~E(x851,x852)+~P7(x853,x851,x854)
% 0.21/0.75 [86]P7(x863,x864,x862)+~E(x861,x862)+~P7(x863,x864,x861)
% 0.21/0.75 [87]P12(x872,x873,x874,x875)+~E(x871,x872)+~P12(x871,x873,x874,x875)
% 0.21/0.75 [88]P12(x883,x882,x884,x885)+~E(x881,x882)+~P12(x883,x881,x884,x885)
% 0.21/0.75 [89]P12(x893,x894,x892,x895)+~E(x891,x892)+~P12(x893,x894,x891,x895)
% 0.21/0.75 [90]P12(x903,x904,x905,x902)+~E(x901,x902)+~P12(x903,x904,x905,x901)
% 0.21/0.75 [91]P4(x912,x913)+~E(x911,x912)+~P4(x911,x913)
% 0.21/0.75 [92]P4(x923,x922)+~E(x921,x922)+~P4(x923,x921)
% 0.21/0.75 [93]P9(x932,x933,x934,x935)+~E(x931,x932)+~P9(x931,x933,x934,x935)
% 0.21/0.75 [94]P9(x943,x942,x944,x945)+~E(x941,x942)+~P9(x943,x941,x944,x945)
% 0.21/0.75 [95]P9(x953,x954,x952,x955)+~E(x951,x952)+~P9(x953,x954,x951,x955)
% 0.21/0.75 [96]P9(x963,x964,x965,x962)+~E(x961,x962)+~P9(x963,x964,x965,x961)
% 0.21/0.75 [97]P15(x972,x973)+~E(x971,x972)+~P15(x971,x973)
% 0.21/0.75 [98]P15(x983,x982)+~E(x981,x982)+~P15(x983,x981)
% 0.21/0.75 [99]P10(x992,x993,x994)+~E(x991,x992)+~P10(x991,x993,x994)
% 0.21/0.75 [100]P10(x1003,x1002,x1004)+~E(x1001,x1002)+~P10(x1003,x1001,x1004)
% 0.21/0.75 [101]P10(x1013,x1014,x1012)+~E(x1011,x1012)+~P10(x1013,x1014,x1011)
% 0.21/0.75 [102]P13(x1022,x1023,x1024)+~E(x1021,x1022)+~P13(x1021,x1023,x1024)
% 0.21/0.75 [103]P13(x1033,x1032,x1034)+~E(x1031,x1032)+~P13(x1033,x1031,x1034)
% 0.21/0.75 [104]P13(x1043,x1044,x1042)+~E(x1041,x1042)+~P13(x1043,x1044,x1041)
% 0.21/0.75
% 0.21/0.75 %-------------------------------------------
% 0.21/0.75 cnf(260,plain,
% 0.21/0.75 (~P3(x2601,a4)),
% 0.21/0.75 inference(rename_variables,[],[110])).
% 0.21/0.75 cnf(263,plain,
% 0.21/0.75 (~P3(x2631,a4)),
% 0.21/0.75 inference(rename_variables,[],[110])).
% 0.21/0.75 cnf(266,plain,
% 0.21/0.75 (~P3(x2661,a4)),
% 0.21/0.75 inference(rename_variables,[],[110])).
% 0.21/0.75 cnf(269,plain,
% 0.21/0.75 (~P3(x2691,a4)),
% 0.21/0.75 inference(rename_variables,[],[110])).
% 0.21/0.75 cnf(272,plain,
% 0.21/0.75 (P4(a4,a4)),
% 0.21/0.75 inference(scs_inference,[],[110,260,263,266,109,111,235,234,233,149,148,147,146,123,166,165,133,76,125])).
% 0.21/0.75 cnf(277,plain,
% 0.21/0.75 (~P3(x2771,f5(a4,x2772))),
% 0.21/0.75 inference(scs_inference,[],[110,260,263,266,269,108,109,111,235,234,233,149,148,147,146,123,166,165,133,76,125,2,118,139])).
% 0.21/0.75 cnf(287,plain,
% 0.21/0.75 (~P6(a3,f26(a3,a1,a11),a11)),
% 0.21/0.75 inference(scs_inference,[],[105,110,260,263,266,269,108,109,111,235,234,233,149,148,147,146,123,166,165,133,76,125,2,118,139,138,137,119,113,208])).
% 0.21/0.75 cnf(289,plain,
% 0.21/0.75 (P3(x2891,f30(a4))),
% 0.21/0.75 inference(scs_inference,[],[105,110,260,263,266,269,108,109,111,235,234,233,149,148,147,146,123,166,165,133,76,125,2,118,139,138,137,119,113,208,126])).
% 0.21/0.75 cnf(290,plain,
% 0.21/0.75 (~P3(x2901,a4)),
% 0.21/0.75 inference(rename_variables,[],[110])).
% 0.21/0.75 cnf(294,plain,
% 0.21/0.75 (~P3(x2941,a4)),
% 0.21/0.75 inference(rename_variables,[],[110])).
% 0.21/0.75 cnf(295,plain,
% 0.21/0.75 (~P3(f26(a3,a1,a11),a10)),
% 0.21/0.75 inference(scs_inference,[],[105,110,260,263,266,269,290,108,109,111,235,234,233,149,148,147,146,123,166,165,133,76,125,2,118,139,138,137,119,113,208,126,104,78,161])).
% 0.21/0.75 cnf(297,plain,
% 0.21/0.75 (~P1(f13(a2),a4)),
% 0.21/0.75 inference(scs_inference,[],[105,110,260,263,266,269,290,294,108,109,111,235,234,233,149,148,147,146,123,166,165,133,76,125,2,118,139,138,137,119,113,208,126,104,78,161,124])).
% 0.21/0.75 cnf(298,plain,
% 0.21/0.75 (~P3(x2981,a4)),
% 0.21/0.75 inference(rename_variables,[],[110])).
% 0.21/0.75 cnf(313,plain,
% 0.21/0.75 (~P4(a4,f13(a2))),
% 0.21/0.75 inference(scs_inference,[],[105,110,260,263,266,269,290,294,298,108,109,111,235,234,233,149,148,147,146,123,166,165,133,76,125,2,118,139,138,137,119,113,208,126,104,78,161,124,131,144,142,134,130,115,114])).
% 0.21/0.75 cnf(319,plain,
% 0.21/0.75 (~P3(a11,x3191)+~P8(f26(a3,a1,a11),a3,x3191)),
% 0.21/0.75 inference(scs_inference,[],[105,110,260,263,266,269,290,294,298,108,109,111,235,234,233,149,148,147,146,123,166,165,133,76,125,2,118,139,138,137,119,113,208,126,104,78,161,124,131,144,142,134,130,115,114,141,160,159])).
% 0.21/0.75 cnf(340,plain,
% 0.21/0.75 (P3(x3401,f30(a4))),
% 0.21/0.75 inference(rename_variables,[],[289])).
% 0.21/0.75 cnf(352,plain,
% 0.21/0.75 (P3(x3521,f30(a4))),
% 0.21/0.75 inference(rename_variables,[],[289])).
% 0.21/0.75 cnf(357,plain,
% 0.21/0.75 (P3(x3571,f30(a4))),
% 0.21/0.75 inference(rename_variables,[],[289])).
% 0.21/0.75 cnf(360,plain,
% 0.21/0.75 (P3(x3601,f30(a4))),
% 0.21/0.75 inference(rename_variables,[],[289])).
% 0.21/0.75 cnf(371,plain,
% 0.21/0.75 ($false),
% 0.21/0.75 inference(scs_inference,[],[106,111,277,289,340,352,357,360,295,297,313,287,272,319,143,128,127,122,92,162,165,161,160,144,134,123,159,124]),
% 0.21/0.75 ['proof']).
% 0.21/0.75 % SZS output end Proof
% 0.21/0.75 % Total time :0.060000s
%------------------------------------------------------------------------------