TSTP Solution File: SET800+4 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET800+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n028.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 0.65s 0.77s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET800+4 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.36 % Computer : n028.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sat Aug 26 09:56:52 EDT 2023
% 0.12/0.36 % CPUTime :
% 0.21/0.51 start to proof:theBenchmark
% 0.65/0.76 %-------------------------------------------
% 0.65/0.76 % File :CSE---1.6
% 0.65/0.76 % Problem :theBenchmark
% 0.65/0.76 % Transform :cnf
% 0.65/0.76 % Format :tptp:raw
% 0.65/0.76 % Command :java -jar mcs_scs.jar %d %s
% 0.65/0.76
% 0.65/0.76 % Result :Theorem 0.170000s
% 0.65/0.76 % Output :CNFRefutation 0.170000s
% 0.65/0.76 %-------------------------------------------
% 0.65/0.77 %------------------------------------------------------------------------------
% 0.65/0.77 % File : SET800+4 : TPTP v8.1.2. Released v3.2.0.
% 0.65/0.77 % Domain : Set Theory (Order relations)
% 0.65/0.77 % Problem : Greatest lower bound of sets in total order
% 0.65/0.77 % Version : [Pas05] axioms.
% 0.65/0.77 % English : If an order is total, the greatest lower bound of a set is greater
% 0.65/0.77 % than the greatest lower bound of a subset of it
% 0.65/0.77
% 0.65/0.77 % Refs : [Pas05] Pastre (2005), Email to G. Sutcliffe
% 0.65/0.77 % Source : [Pas05]
% 0.65/0.77 % Names :
% 0.65/0.77
% 0.65/0.77 % Status : Theorem
% 0.65/0.77 % Rating : 0.11 v8.1.0, 0.06 v7.4.0, 0.10 v7.3.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.08 v6.3.0, 0.12 v6.1.0, 0.13 v6.0.0, 0.22 v5.5.0, 0.15 v5.4.0, 0.21 v5.3.0, 0.22 v5.2.0, 0.10 v5.0.0, 0.12 v4.1.0, 0.13 v4.0.0, 0.12 v3.7.0, 0.15 v3.5.0, 0.16 v3.4.0, 0.21 v3.3.0, 0.07 v3.2.0
% 0.65/0.77 % Syntax : Number of formulae : 22 ( 1 unt; 0 def)
% 0.65/0.77 % Number of atoms : 92 ( 6 equ)
% 0.65/0.77 % Maximal formula atoms : 14 ( 4 avg)
% 0.65/0.77 % Number of connectives : 72 ( 2 ~; 3 |; 28 &)
% 0.65/0.77 % ( 20 <=>; 19 =>; 0 <=; 0 <~>)
% 0.65/0.77 % Maximal formula depth : 12 ( 7 avg)
% 0.65/0.77 % Maximal term depth : 2 ( 1 avg)
% 0.65/0.77 % Number of predicates : 15 ( 14 usr; 0 prp; 2-4 aty)
% 0.65/0.77 % Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% 0.65/0.77 % Number of variables : 80 ( 79 !; 1 ?)
% 0.65/0.77 % SPC : FOF_THM_RFO_SEQ
% 0.65/0.77
% 0.65/0.77 % Comments :
% 0.65/0.77 %------------------------------------------------------------------------------
% 0.65/0.77 %----Include set theory definitions
% 0.65/0.77 include('Axioms/SET006+0.ax').
% 0.65/0.77 %----Include order relation axioms
% 0.65/0.77 include('Axioms/SET006+3.ax').
% 0.65/0.77 %------------------------------------------------------------------------------
% 0.65/0.77 fof(thIV12,conjecture,
% 0.65/0.77 ! [R,E] :
% 0.65/0.77 ( order(R,E)
% 0.65/0.77 => ! [X1,X2] :
% 0.65/0.77 ( ( subset(X1,E)
% 0.65/0.77 & subset(X2,E)
% 0.65/0.77 & subset(X1,X2) )
% 0.65/0.77 => ! [M1,M2] :
% 0.65/0.77 ( ( greatest_lower_bound(M1,X1,R,E)
% 0.65/0.77 & greatest_lower_bound(M2,X2,R,E) )
% 0.65/0.77 => apply(R,M2,M1) ) ) ) ).
% 0.65/0.77
% 0.65/0.77 %------------------------------------------------------------------------------
% 0.65/0.77 %-------------------------------------------
% 0.65/0.77 % Proof found
% 0.65/0.77 % SZS status Theorem for theBenchmark
% 0.65/0.77 % SZS output start Proof
% 0.65/0.77 %ClaNum:247(EqnAxiom:104)
% 0.65/0.77 %VarNum:1415(SingletonVarNum:350)
% 0.65/0.77 %MaxLitNum:7
% 0.65/0.77 %MaxfuncDepth:1
% 0.65/0.77 %SharedTerms:14
% 0.65/0.77 %goalClause: 105 106 107 108 109 110 112
% 0.65/0.77 %singleGoalClaCount:7
% 0.65/0.77 [105]P1(a1,a2)
% 0.65/0.77 [106]P1(a1,a10)
% 0.65/0.77 [107]P1(a10,a2)
% 0.65/0.77 [108]P2(a3,a2)
% 0.65/0.77 [109]P3(a11,a1,a3,a2)
% 0.65/0.77 [110]P3(a12,a10,a3,a2)
% 0.65/0.77 [112]~P4(a3,a12,a11)
% 0.65/0.77 [111]~P8(x1111,a4)
% 0.65/0.77 [115]~P5(x1152,x1151)+P1(x1151,x1152)
% 0.65/0.77 [116]~P5(x1161,x1162)+P1(x1161,x1162)
% 0.65/0.77 [117]~P14(x1171,x1172)+P2(x1171,x1172)
% 0.65/0.77 [118]~P6(x1181,x1182)+P2(x1181,x1182)
% 0.65/0.77 [119]~P2(x1191,x1192)+P6(x1191,x1192)
% 0.65/0.77 [113]~E(x1131,x1132)+P8(x1131,f13(x1132))
% 0.65/0.77 [114]E(x1141,x1142)+~P8(x1141,f13(x1142))
% 0.65/0.77 [120]~P1(x1201,x1202)+P8(x1201,f14(x1202))
% 0.65/0.77 [123]P1(x1231,x1232)+~P8(x1231,f14(x1232))
% 0.65/0.77 [124]P1(x1241,x1242)+P8(f15(x1241,x1242),x1241)
% 0.65/0.77 [127]P8(f16(x1271,x1272),x1272)+P8(x1271,f31(x1272))
% 0.65/0.77 [133]~P8(x1331,f34(x1332))+P8(x1331,f17(x1331,x1332))
% 0.65/0.77 [134]~P8(x1341,f34(x1342))+P8(f17(x1341,x1342),x1342)
% 0.65/0.77 [141]P1(x1411,x1412)+~P8(f15(x1411,x1412),x1412)
% 0.65/0.77 [142]~P8(x1421,f16(x1421,x1422))+P8(x1421,f31(x1422))
% 0.65/0.77 [147]P8(x1471,x1472)+~P7(x1471,x1473,x1472)
% 0.65/0.77 [148]P8(x1481,x1482)+~P9(x1481,x1483,x1482)
% 0.65/0.77 [149]P8(x1491,x1492)+~P10(x1491,x1493,x1492)
% 0.65/0.77 [150]P8(x1501,x1502)+~P13(x1501,x1503,x1502)
% 0.65/0.77 [121]~E(x1211,x1213)+P8(x1211,f32(x1212,x1213))
% 0.65/0.77 [122]~E(x1221,x1222)+P8(x1221,f32(x1222,x1223))
% 0.65/0.77 [128]~P8(x1281,x1283)+P8(x1281,f33(x1282,x1283))
% 0.65/0.77 [129]~P8(x1291,x1292)+P8(x1291,f33(x1292,x1293))
% 0.65/0.77 [138]P8(x1381,x1382)+~P8(x1381,f26(x1383,x1382))
% 0.65/0.77 [139]P8(x1391,x1392)+~P8(x1391,f26(x1392,x1393))
% 0.65/0.77 [140]P8(x1401,x1402)+~P8(x1401,f5(x1402,x1403))
% 0.65/0.77 [144]~P8(x1441,x1442)+~P8(x1441,f5(x1443,x1442))
% 0.65/0.77 [166]P15(x1661,x1662,x1663)+P8(f27(x1662,x1663,x1661),x1663)
% 0.65/0.77 [167]P11(x1671,x1672,x1673)+P8(f28(x1672,x1673,x1671),x1673)
% 0.65/0.77 [208]P11(x2081,x2082,x2083)+~P4(x2082,x2081,f28(x2082,x2083,x2081))
% 0.65/0.77 [209]P15(x2091,x2092,x2093)+~P4(x2092,f27(x2092,x2093,x2091),x2091)
% 0.65/0.77 [234]P8(x2341,x2342)+~P12(x2341,x2342,x2343,x2344)
% 0.65/0.77 [235]P8(x2351,x2352)+~P3(x2351,x2352,x2353,x2354)
% 0.65/0.77 [236]P15(x2361,x2362,x2363)+~P12(x2361,x2363,x2362,x2364)
% 0.65/0.77 [237]P11(x2371,x2372,x2373)+~P3(x2371,x2373,x2372,x2374)
% 0.65/0.77 [126]~P1(x1262,x1261)+~P1(x1261,x1262)+P5(x1261,x1262)
% 0.65/0.77 [136]~P2(x1361,x1362)+P14(x1361,x1362)+P8(f24(x1361,x1362),x1362)
% 0.65/0.77 [137]~P2(x1371,x1372)+P14(x1371,x1372)+P8(f25(x1371,x1372),x1372)
% 0.65/0.77 [185]~P2(x1851,x1852)+P14(x1851,x1852)+~P4(x1851,f24(x1851,x1852),f25(x1851,x1852))
% 0.65/0.77 [186]~P2(x1861,x1862)+P14(x1861,x1862)+~P4(x1861,f25(x1861,x1862),f24(x1861,x1862))
% 0.65/0.77 [125]~P8(x1251,x1253)+P8(x1251,x1252)+~P1(x1253,x1252)
% 0.65/0.77 [146]~P6(x1461,x1463)+P4(x1461,x1462,x1462)+~P8(x1462,x1463)
% 0.65/0.77 [130]~P8(x1303,x1302)+~P8(x1301,x1303)+P8(x1301,f34(x1302))
% 0.65/0.77 [131]E(x1311,x1312)+E(x1311,x1313)+~P8(x1311,f32(x1313,x1312))
% 0.65/0.77 [132]P8(x1321,x1322)+~P8(x1322,x1323)+~P8(x1321,f31(x1323))
% 0.65/0.77 [135]~P8(x1351,x1353)+P8(x1351,x1352)+P8(x1351,f5(x1353,x1352))
% 0.65/0.77 [143]~P8(x1431,x1433)+~P8(x1431,x1432)+P8(x1431,f26(x1432,x1433))
% 0.65/0.77 [145]P8(x1451,x1452)+P8(x1451,x1453)+~P8(x1451,f33(x1453,x1452))
% 0.65/0.77 [164]~P8(x1641,x1643)+P10(x1641,x1642,x1643)+~E(f6(x1642,x1643,x1641),x1641)
% 0.65/0.77 [165]~P8(x1651,x1653)+P13(x1651,x1652,x1653)+~E(f7(x1652,x1653,x1651),x1651)
% 0.65/0.77 [171]~P8(x1711,x1713)+P7(x1711,x1712,x1713)+P8(f29(x1712,x1713,x1711),x1713)
% 0.65/0.77 [172]~P8(x1721,x1723)+P9(x1721,x1722,x1723)+P8(f30(x1722,x1723,x1721),x1723)
% 0.65/0.77 [173]~P8(x1731,x1733)+P10(x1731,x1732,x1733)+P8(f6(x1732,x1733,x1731),x1733)
% 0.65/0.77 [174]~P8(x1741,x1743)+P13(x1741,x1742,x1743)+P8(f7(x1742,x1743,x1741),x1743)
% 0.65/0.77 [189]~P8(x1891,x1893)+P10(x1891,x1892,x1893)+P4(x1892,x1891,f6(x1892,x1893,x1891))
% 0.65/0.77 [190]~P8(x1901,x1903)+P13(x1901,x1902,x1903)+P4(x1902,f7(x1902,x1903,x1901),x1901)
% 0.65/0.77 [223]~P8(x2231,x2233)+P9(x2231,x2232,x2233)+~P4(x2232,x2231,f30(x2232,x2233,x2231))
% 0.65/0.77 [224]~P8(x2241,x2243)+P7(x2241,x2242,x2243)+~P4(x2242,f29(x2242,x2243,x2241),x2241)
% 0.65/0.77 [160]~P9(x1602,x1601,x1604)+P4(x1601,x1602,x1603)+~P8(x1603,x1604)
% 0.65/0.77 [161]~P7(x1613,x1611,x1614)+P4(x1611,x1612,x1613)+~P8(x1612,x1614)
% 0.65/0.77 [162]~P15(x1623,x1621,x1624)+P4(x1621,x1622,x1623)+~P8(x1622,x1624)
% 0.65/0.77 [163]~P11(x1632,x1631,x1634)+P4(x1631,x1632,x1633)+~P8(x1633,x1634)
% 0.65/0.77 [151]P6(x1511,x1512)+P8(f18(x1512,x1511),x1512)+P8(f19(x1512,x1511),x1512)+P8(f20(x1512,x1511),x1512)
% 0.65/0.77 [152]P6(x1521,x1522)+P8(f18(x1522,x1521),x1522)+P8(f19(x1522,x1521),x1522)+P8(f22(x1522,x1521),x1522)
% 0.65/0.77 [153]P6(x1531,x1532)+P8(f18(x1532,x1531),x1532)+P8(f19(x1532,x1531),x1532)+P8(f23(x1532,x1531),x1532)
% 0.65/0.77 [154]P6(x1541,x1542)+P8(f18(x1542,x1541),x1542)+P8(f21(x1542,x1541),x1542)+P8(f20(x1542,x1541),x1542)
% 0.65/0.77 [155]P6(x1551,x1552)+P8(f18(x1552,x1551),x1552)+P8(f21(x1552,x1551),x1552)+P8(f22(x1552,x1551),x1552)
% 0.65/0.77 [156]P6(x1561,x1562)+P8(f18(x1562,x1561),x1562)+P8(f21(x1562,x1561),x1562)+P8(f23(x1562,x1561),x1562)
% 0.65/0.77 [157]P6(x1571,x1572)+P8(f18(x1572,x1571),x1572)+P8(f20(x1572,x1571),x1572)+~E(f21(x1572,x1571),f19(x1572,x1571))
% 0.65/0.77 [158]P6(x1581,x1582)+P8(f18(x1582,x1581),x1582)+P8(f22(x1582,x1581),x1582)+~E(f21(x1582,x1581),f19(x1582,x1581))
% 0.65/0.77 [159]P6(x1591,x1592)+P8(f18(x1592,x1591),x1592)+P8(f23(x1592,x1591),x1592)+~E(f21(x1592,x1591),f19(x1592,x1591))
% 0.65/0.78 [175]P6(x1751,x1752)+P4(x1751,f19(x1752,x1751),f21(x1752,x1751))+P8(f18(x1752,x1751),x1752)+P8(f20(x1752,x1751),x1752)
% 0.65/0.78 [176]P6(x1761,x1762)+P4(x1761,f21(x1762,x1761),f19(x1762,x1761))+P8(f18(x1762,x1761),x1762)+P8(f20(x1762,x1761),x1762)
% 0.65/0.78 [177]P6(x1771,x1772)+P4(x1771,f19(x1772,x1771),f21(x1772,x1771))+P8(f18(x1772,x1771),x1772)+P8(f22(x1772,x1771),x1772)
% 0.65/0.78 [178]P6(x1781,x1782)+P4(x1781,f21(x1782,x1781),f19(x1782,x1781))+P8(f18(x1782,x1781),x1782)+P8(f22(x1782,x1781),x1782)
% 0.65/0.78 [179]P6(x1791,x1792)+P4(x1791,f19(x1792,x1791),f21(x1792,x1791))+P8(f18(x1792,x1791),x1792)+P8(f23(x1792,x1791),x1792)
% 0.65/0.78 [180]P6(x1801,x1802)+P4(x1801,f21(x1802,x1801),f19(x1802,x1801))+P8(f18(x1802,x1801),x1802)+P8(f23(x1802,x1801),x1802)
% 0.65/0.78 [181]P6(x1811,x1812)+P4(x1811,f20(x1812,x1811),f22(x1812,x1811))+P8(f18(x1812,x1811),x1812)+P8(f19(x1812,x1811),x1812)
% 0.65/0.78 [182]P6(x1821,x1822)+P4(x1821,f22(x1822,x1821),f23(x1822,x1821))+P8(f18(x1822,x1821),x1822)+P8(f19(x1822,x1821),x1822)
% 0.65/0.78 [183]P6(x1831,x1832)+P4(x1831,f20(x1832,x1831),f22(x1832,x1831))+P8(f18(x1832,x1831),x1832)+P8(f21(x1832,x1831),x1832)
% 0.65/0.78 [184]P6(x1841,x1842)+P4(x1841,f22(x1842,x1841),f23(x1842,x1841))+P8(f18(x1842,x1841),x1842)+P8(f21(x1842,x1841),x1842)
% 0.65/0.78 [187]P6(x1871,x1872)+P4(x1871,f20(x1872,x1871),f22(x1872,x1871))+P8(f18(x1872,x1871),x1872)+~E(f21(x1872,x1871),f19(x1872,x1871))
% 0.65/0.78 [188]P6(x1881,x1882)+P4(x1881,f22(x1882,x1881),f23(x1882,x1881))+P8(f18(x1882,x1881),x1882)+~E(f21(x1882,x1881),f19(x1882,x1881))
% 0.65/0.78 [192]P6(x1921,x1922)+~P4(x1921,f18(x1922,x1921),f18(x1922,x1921))+P8(f19(x1922,x1921),x1922)+P8(f20(x1922,x1921),x1922)
% 0.65/0.78 [193]P6(x1931,x1932)+~P4(x1931,f18(x1932,x1931),f18(x1932,x1931))+P8(f19(x1932,x1931),x1932)+P8(f22(x1932,x1931),x1932)
% 0.65/0.78 [194]P6(x1941,x1942)+~P4(x1941,f18(x1942,x1941),f18(x1942,x1941))+P8(f19(x1942,x1941),x1942)+P8(f23(x1942,x1941),x1942)
% 0.65/0.78 [195]P6(x1951,x1952)+~P4(x1951,f18(x1952,x1951),f18(x1952,x1951))+P8(f21(x1952,x1951),x1952)+P8(f20(x1952,x1951),x1952)
% 0.65/0.78 [196]P6(x1961,x1962)+~P4(x1961,f18(x1962,x1961),f18(x1962,x1961))+P8(f21(x1962,x1961),x1962)+P8(f22(x1962,x1961),x1962)
% 0.65/0.78 [197]P6(x1971,x1972)+~P4(x1971,f18(x1972,x1971),f18(x1972,x1971))+P8(f21(x1972,x1971),x1972)+P8(f23(x1972,x1971),x1972)
% 0.65/0.78 [198]P6(x1981,x1982)+~P4(x1981,f20(x1982,x1981),f23(x1982,x1981))+P8(f18(x1982,x1981),x1982)+P8(f19(x1982,x1981),x1982)
% 0.65/0.78 [199]P6(x1991,x1992)+~P4(x1991,f20(x1992,x1991),f23(x1992,x1991))+P8(f18(x1992,x1991),x1992)+P8(f21(x1992,x1991),x1992)
% 0.65/0.78 [200]P6(x2001,x2002)+~P4(x2001,f18(x2002,x2001),f18(x2002,x2001))+P8(f20(x2002,x2001),x2002)+~E(f21(x2002,x2001),f19(x2002,x2001))
% 0.65/0.78 [201]P6(x2011,x2012)+~P4(x2011,f18(x2012,x2011),f18(x2012,x2011))+P8(f22(x2012,x2011),x2012)+~E(f21(x2012,x2011),f19(x2012,x2011))
% 0.65/0.78 [202]P6(x2021,x2022)+~P4(x2021,f18(x2022,x2021),f18(x2022,x2021))+P8(f23(x2022,x2021),x2022)+~E(f21(x2022,x2021),f19(x2022,x2021))
% 0.65/0.78 [203]P6(x2031,x2032)+~P4(x2031,f20(x2032,x2031),f23(x2032,x2031))+P8(f18(x2032,x2031),x2032)+~E(f21(x2032,x2031),f19(x2032,x2031))
% 0.65/0.78 [204]P6(x2041,x2042)+P4(x2041,f19(x2042,x2041),f21(x2042,x2041))+P4(x2041,f20(x2042,x2041),f22(x2042,x2041))+P8(f18(x2042,x2041),x2042)
% 0.65/0.78 [205]P6(x2051,x2052)+P4(x2051,f19(x2052,x2051),f21(x2052,x2051))+P4(x2051,f22(x2052,x2051),f23(x2052,x2051))+P8(f18(x2052,x2051),x2052)
% 0.65/0.78 [206]P6(x2061,x2062)+P4(x2061,f21(x2062,x2061),f19(x2062,x2061))+P4(x2061,f20(x2062,x2061),f22(x2062,x2061))+P8(f18(x2062,x2061),x2062)
% 0.65/0.78 [207]P6(x2071,x2072)+P4(x2071,f21(x2072,x2071),f19(x2072,x2071))+P4(x2071,f22(x2072,x2071),f23(x2072,x2071))+P8(f18(x2072,x2071),x2072)
% 0.65/0.78 [211]P6(x2111,x2112)+P4(x2111,f19(x2112,x2111),f21(x2112,x2111))+~P4(x2111,f18(x2112,x2111),f18(x2112,x2111))+P8(f20(x2112,x2111),x2112)
% 0.65/0.78 [212]P6(x2121,x2122)+P4(x2121,f21(x2122,x2121),f19(x2122,x2121))+~P4(x2121,f18(x2122,x2121),f18(x2122,x2121))+P8(f20(x2122,x2121),x2122)
% 0.65/0.78 [213]P6(x2131,x2132)+P4(x2131,f19(x2132,x2131),f21(x2132,x2131))+~P4(x2131,f18(x2132,x2131),f18(x2132,x2131))+P8(f22(x2132,x2131),x2132)
% 0.65/0.78 [214]P6(x2141,x2142)+P4(x2141,f21(x2142,x2141),f19(x2142,x2141))+~P4(x2141,f18(x2142,x2141),f18(x2142,x2141))+P8(f22(x2142,x2141),x2142)
% 0.65/0.78 [215]P6(x2151,x2152)+P4(x2151,f19(x2152,x2151),f21(x2152,x2151))+~P4(x2151,f18(x2152,x2151),f18(x2152,x2151))+P8(f23(x2152,x2151),x2152)
% 0.65/0.78 [216]P6(x2161,x2162)+P4(x2161,f21(x2162,x2161),f19(x2162,x2161))+~P4(x2161,f18(x2162,x2161),f18(x2162,x2161))+P8(f23(x2162,x2161),x2162)
% 0.65/0.78 [217]P6(x2171,x2172)+P4(x2171,f19(x2172,x2171),f21(x2172,x2171))+~P4(x2171,f20(x2172,x2171),f23(x2172,x2171))+P8(f18(x2172,x2171),x2172)
% 0.65/0.78 [218]P6(x2181,x2182)+P4(x2181,f21(x2182,x2181),f19(x2182,x2181))+~P4(x2181,f20(x2182,x2181),f23(x2182,x2181))+P8(f18(x2182,x2181),x2182)
% 0.65/0.78 [219]P6(x2191,x2192)+P4(x2191,f20(x2192,x2191),f22(x2192,x2191))+~P4(x2191,f18(x2192,x2191),f18(x2192,x2191))+P8(f19(x2192,x2191),x2192)
% 0.65/0.78 [220]P6(x2201,x2202)+P4(x2201,f22(x2202,x2201),f23(x2202,x2201))+~P4(x2201,f18(x2202,x2201),f18(x2202,x2201))+P8(f19(x2202,x2201),x2202)
% 0.65/0.78 [221]P6(x2211,x2212)+P4(x2211,f20(x2212,x2211),f22(x2212,x2211))+~P4(x2211,f18(x2212,x2211),f18(x2212,x2211))+P8(f21(x2212,x2211),x2212)
% 0.65/0.78 [222]P6(x2221,x2222)+P4(x2221,f22(x2222,x2221),f23(x2222,x2221))+~P4(x2221,f18(x2222,x2221),f18(x2222,x2221))+P8(f21(x2222,x2221),x2222)
% 0.65/0.78 [225]P6(x2251,x2252)+P4(x2251,f20(x2252,x2251),f22(x2252,x2251))+~P4(x2251,f18(x2252,x2251),f18(x2252,x2251))+~E(f21(x2252,x2251),f19(x2252,x2251))
% 0.65/0.78 [226]P6(x2261,x2262)+P4(x2261,f22(x2262,x2261),f23(x2262,x2261))+~P4(x2261,f18(x2262,x2261),f18(x2262,x2261))+~E(f21(x2262,x2261),f19(x2262,x2261))
% 0.65/0.78 [227]P6(x2271,x2272)+~P4(x2271,f18(x2272,x2271),f18(x2272,x2271))+~P4(x2271,f20(x2272,x2271),f23(x2272,x2271))+P8(f19(x2272,x2271),x2272)
% 0.65/0.78 [228]P6(x2281,x2282)+~P4(x2281,f18(x2282,x2281),f18(x2282,x2281))+~P4(x2281,f20(x2282,x2281),f23(x2282,x2281))+P8(f21(x2282,x2281),x2282)
% 0.65/0.78 [229]P6(x2291,x2292)+~P4(x2291,f18(x2292,x2291),f18(x2292,x2291))+~P4(x2291,f20(x2292,x2291),f23(x2292,x2291))+~E(f21(x2292,x2291),f19(x2292,x2291))
% 0.65/0.78 [230]P6(x2301,x2302)+P4(x2301,f19(x2302,x2301),f21(x2302,x2301))+P4(x2301,f20(x2302,x2301),f22(x2302,x2301))+~P4(x2301,f18(x2302,x2301),f18(x2302,x2301))
% 0.65/0.78 [231]P6(x2311,x2312)+P4(x2311,f19(x2312,x2311),f21(x2312,x2311))+P4(x2311,f22(x2312,x2311),f23(x2312,x2311))+~P4(x2311,f18(x2312,x2311),f18(x2312,x2311))
% 0.65/0.78 [232]P6(x2321,x2322)+P4(x2321,f21(x2322,x2321),f19(x2322,x2321))+P4(x2321,f20(x2322,x2321),f22(x2322,x2321))+~P4(x2321,f18(x2322,x2321),f18(x2322,x2321))
% 0.65/0.78 [233]P6(x2331,x2332)+P4(x2331,f21(x2332,x2331),f19(x2332,x2331))+P4(x2331,f22(x2332,x2331),f23(x2332,x2331))+~P4(x2331,f18(x2332,x2331),f18(x2332,x2331))
% 0.65/0.78 [238]P6(x2381,x2382)+P4(x2381,f19(x2382,x2381),f21(x2382,x2381))+~P4(x2381,f18(x2382,x2381),f18(x2382,x2381))+~P4(x2381,f20(x2382,x2381),f23(x2382,x2381))
% 0.65/0.78 [239]P6(x2391,x2392)+P4(x2391,f21(x2392,x2391),f19(x2392,x2391))+~P4(x2391,f18(x2392,x2391),f18(x2392,x2391))+~P4(x2391,f20(x2392,x2391),f23(x2392,x2391))
% 0.65/0.78 [169]~P10(x1692,x1694,x1693)+E(x1691,x1692)+~P4(x1694,x1692,x1691)+~P8(x1691,x1693)
% 0.65/0.78 [170]~P13(x1702,x1704,x1703)+E(x1701,x1702)+~P4(x1704,x1701,x1702)+~P8(x1701,x1703)
% 0.65/0.78 [242]~P8(x2421,x2422)+~P15(x2421,x2423,x2422)+P12(x2421,x2422,x2423,x2424)+P8(f8(x2421,x2422,x2423,x2424),x2424)
% 0.65/0.78 [243]~P8(x2431,x2432)+~P11(x2431,x2433,x2432)+P3(x2431,x2432,x2433,x2434)+P8(f9(x2431,x2432,x2433,x2434),x2434)
% 0.65/0.78 [244]~P8(x2441,x2442)+~P15(x2441,x2443,x2442)+P12(x2441,x2442,x2443,x2444)+P15(f8(x2441,x2442,x2443,x2444),x2443,x2442)
% 0.65/0.78 [245]~P8(x2451,x2452)+~P11(x2451,x2453,x2452)+P3(x2451,x2452,x2453,x2454)+P11(f9(x2451,x2452,x2453,x2454),x2453,x2452)
% 0.65/0.78 [246]~P8(x2461,x2462)+~P15(x2461,x2463,x2462)+P12(x2461,x2462,x2463,x2464)+~P4(x2463,x2461,f8(x2461,x2462,x2463,x2464))
% 0.65/0.78 [247]~P8(x2471,x2472)+~P11(x2471,x2473,x2472)+P3(x2471,x2472,x2473,x2474)+~P4(x2473,f9(x2471,x2472,x2473,x2474),x2471)
% 0.65/0.78 [240]~P12(x2402,x2405,x2401,x2404)+P4(x2401,x2402,x2403)+~P15(x2403,x2401,x2405)+~P8(x2403,x2404)
% 0.65/0.78 [241]~P3(x2413,x2415,x2411,x2414)+P4(x2411,x2412,x2413)+~P11(x2412,x2411,x2415)+~P8(x2412,x2414)
% 0.65/0.78 [168]P4(x1681,x1683,x1682)+~P8(x1683,x1684)+~P14(x1681,x1684)+P4(x1681,x1682,x1683)+~P8(x1682,x1684)
% 0.65/0.78 [191]~P8(x1911,x1913)+~P4(x1914,x1912,x1911)+~P4(x1914,x1911,x1912)+E(x1911,x1912)+~P8(x1912,x1913)+~P6(x1914,x1913)
% 0.65/0.78 [210]~P8(x2102,x2104)+~P6(x2101,x2104)+~P4(x2101,x2105,x2103)+~P4(x2101,x2102,x2105)+P4(x2101,x2102,x2103)+~P8(x2103,x2104)+~P8(x2105,x2104)
% 0.65/0.78 %EqnAxiom
% 0.65/0.78 [1]E(x11,x11)
% 0.65/0.78 [2]E(x22,x21)+~E(x21,x22)
% 0.65/0.78 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.65/0.78 [4]~E(x41,x42)+E(f13(x41),f13(x42))
% 0.65/0.78 [5]~E(x51,x52)+E(f9(x51,x53,x54,x55),f9(x52,x53,x54,x55))
% 0.65/0.78 [6]~E(x61,x62)+E(f9(x63,x61,x64,x65),f9(x63,x62,x64,x65))
% 0.65/0.78 [7]~E(x71,x72)+E(f9(x73,x74,x71,x75),f9(x73,x74,x72,x75))
% 0.65/0.78 [8]~E(x81,x82)+E(f9(x83,x84,x85,x81),f9(x83,x84,x85,x82))
% 0.65/0.78 [9]~E(x91,x92)+E(f14(x91),f14(x92))
% 0.65/0.78 [10]~E(x101,x102)+E(f32(x101,x103),f32(x102,x103))
% 0.65/0.78 [11]~E(x111,x112)+E(f32(x113,x111),f32(x113,x112))
% 0.65/0.78 [12]~E(x121,x122)+E(f8(x121,x123,x124,x125),f8(x122,x123,x124,x125))
% 0.65/0.78 [13]~E(x131,x132)+E(f8(x133,x131,x134,x135),f8(x133,x132,x134,x135))
% 0.65/0.78 [14]~E(x141,x142)+E(f8(x143,x144,x141,x145),f8(x143,x144,x142,x145))
% 0.65/0.78 [15]~E(x151,x152)+E(f8(x153,x154,x155,x151),f8(x153,x154,x155,x152))
% 0.65/0.78 [16]~E(x161,x162)+E(f23(x161,x163),f23(x162,x163))
% 0.65/0.78 [17]~E(x171,x172)+E(f23(x173,x171),f23(x173,x172))
% 0.65/0.78 [18]~E(x181,x182)+E(f15(x181,x183),f15(x182,x183))
% 0.65/0.78 [19]~E(x191,x192)+E(f15(x193,x191),f15(x193,x192))
% 0.65/0.78 [20]~E(x201,x202)+E(f31(x201),f31(x202))
% 0.65/0.78 [21]~E(x211,x212)+E(f16(x211,x213),f16(x212,x213))
% 0.65/0.78 [22]~E(x221,x222)+E(f16(x223,x221),f16(x223,x222))
% 0.65/0.78 [23]~E(x231,x232)+E(f33(x231,x233),f33(x232,x233))
% 0.65/0.78 [24]~E(x241,x242)+E(f33(x243,x241),f33(x243,x242))
% 0.65/0.78 [25]~E(x251,x252)+E(f19(x251,x253),f19(x252,x253))
% 0.65/0.78 [26]~E(x261,x262)+E(f19(x263,x261),f19(x263,x262))
% 0.65/0.78 [27]~E(x271,x272)+E(f34(x271),f34(x272))
% 0.65/0.78 [28]~E(x281,x282)+E(f20(x281,x283),f20(x282,x283))
% 0.65/0.78 [29]~E(x291,x292)+E(f20(x293,x291),f20(x293,x292))
% 0.65/0.78 [30]~E(x301,x302)+E(f22(x301,x303),f22(x302,x303))
% 0.65/0.78 [31]~E(x311,x312)+E(f22(x313,x311),f22(x313,x312))
% 0.65/0.78 [32]~E(x321,x322)+E(f17(x321,x323),f17(x322,x323))
% 0.65/0.78 [33]~E(x331,x332)+E(f17(x333,x331),f17(x333,x332))
% 0.65/0.78 [34]~E(x341,x342)+E(f21(x341,x343),f21(x342,x343))
% 0.65/0.78 [35]~E(x351,x352)+E(f21(x353,x351),f21(x353,x352))
% 0.65/0.78 [36]~E(x361,x362)+E(f18(x361,x363),f18(x362,x363))
% 0.65/0.78 [37]~E(x371,x372)+E(f18(x373,x371),f18(x373,x372))
% 0.65/0.78 [38]~E(x381,x382)+E(f7(x381,x383,x384),f7(x382,x383,x384))
% 0.65/0.78 [39]~E(x391,x392)+E(f7(x393,x391,x394),f7(x393,x392,x394))
% 0.65/0.78 [40]~E(x401,x402)+E(f7(x403,x404,x401),f7(x403,x404,x402))
% 0.65/0.78 [41]~E(x411,x412)+E(f5(x411,x413),f5(x412,x413))
% 0.65/0.78 [42]~E(x421,x422)+E(f5(x423,x421),f5(x423,x422))
% 0.65/0.78 [43]~E(x431,x432)+E(f24(x431,x433),f24(x432,x433))
% 0.65/0.78 [44]~E(x441,x442)+E(f24(x443,x441),f24(x443,x442))
% 0.65/0.78 [45]~E(x451,x452)+E(f25(x451,x453),f25(x452,x453))
% 0.65/0.78 [46]~E(x461,x462)+E(f25(x463,x461),f25(x463,x462))
% 0.65/0.78 [47]~E(x471,x472)+E(f26(x471,x473),f26(x472,x473))
% 0.65/0.78 [48]~E(x481,x482)+E(f26(x483,x481),f26(x483,x482))
% 0.65/0.78 [49]~E(x491,x492)+E(f6(x491,x493,x494),f6(x492,x493,x494))
% 0.65/0.78 [50]~E(x501,x502)+E(f6(x503,x501,x504),f6(x503,x502,x504))
% 0.65/0.78 [51]~E(x511,x512)+E(f6(x513,x514,x511),f6(x513,x514,x512))
% 0.65/0.78 [52]~E(x521,x522)+E(f27(x521,x523,x524),f27(x522,x523,x524))
% 0.65/0.78 [53]~E(x531,x532)+E(f27(x533,x531,x534),f27(x533,x532,x534))
% 0.65/0.78 [54]~E(x541,x542)+E(f27(x543,x544,x541),f27(x543,x544,x542))
% 0.65/0.78 [55]~E(x551,x552)+E(f28(x551,x553,x554),f28(x552,x553,x554))
% 0.65/0.78 [56]~E(x561,x562)+E(f28(x563,x561,x564),f28(x563,x562,x564))
% 0.65/0.78 [57]~E(x571,x572)+E(f28(x573,x574,x571),f28(x573,x574,x572))
% 0.65/0.78 [58]~E(x581,x582)+E(f30(x581,x583,x584),f30(x582,x583,x584))
% 0.65/0.78 [59]~E(x591,x592)+E(f30(x593,x591,x594),f30(x593,x592,x594))
% 0.65/0.78 [60]~E(x601,x602)+E(f30(x603,x604,x601),f30(x603,x604,x602))
% 0.65/0.78 [61]~E(x611,x612)+E(f29(x611,x613,x614),f29(x612,x613,x614))
% 0.65/0.78 [62]~E(x621,x622)+E(f29(x623,x621,x624),f29(x623,x622,x624))
% 0.65/0.78 [63]~E(x631,x632)+E(f29(x633,x634,x631),f29(x633,x634,x632))
% 0.65/0.78 [64]P1(x642,x643)+~E(x641,x642)+~P1(x641,x643)
% 0.65/0.78 [65]P1(x653,x652)+~E(x651,x652)+~P1(x653,x651)
% 0.65/0.78 [66]P4(x662,x663,x664)+~E(x661,x662)+~P4(x661,x663,x664)
% 0.65/0.78 [67]P4(x673,x672,x674)+~E(x671,x672)+~P4(x673,x671,x674)
% 0.65/0.78 [68]P4(x683,x684,x682)+~E(x681,x682)+~P4(x683,x684,x681)
% 0.65/0.78 [69]P11(x692,x693,x694)+~E(x691,x692)+~P11(x691,x693,x694)
% 0.65/0.78 [70]P11(x703,x702,x704)+~E(x701,x702)+~P11(x703,x701,x704)
% 0.65/0.78 [71]P11(x713,x714,x712)+~E(x711,x712)+~P11(x713,x714,x711)
% 0.65/0.78 [72]P2(x722,x723)+~E(x721,x722)+~P2(x721,x723)
% 0.65/0.78 [73]P2(x733,x732)+~E(x731,x732)+~P2(x733,x731)
% 0.65/0.78 [74]P3(x742,x743,x744,x745)+~E(x741,x742)+~P3(x741,x743,x744,x745)
% 0.65/0.78 [75]P3(x753,x752,x754,x755)+~E(x751,x752)+~P3(x753,x751,x754,x755)
% 0.65/0.78 [76]P3(x763,x764,x762,x765)+~E(x761,x762)+~P3(x763,x764,x761,x765)
% 0.65/0.78 [77]P3(x773,x774,x775,x772)+~E(x771,x772)+~P3(x773,x774,x775,x771)
% 0.65/0.78 [78]P8(x782,x783)+~E(x781,x782)+~P8(x781,x783)
% 0.65/0.78 [79]P8(x793,x792)+~E(x791,x792)+~P8(x793,x791)
% 0.65/0.78 [80]P15(x802,x803,x804)+~E(x801,x802)+~P15(x801,x803,x804)
% 0.65/0.78 [81]P15(x813,x812,x814)+~E(x811,x812)+~P15(x813,x811,x814)
% 0.65/0.78 [82]P15(x823,x824,x822)+~E(x821,x822)+~P15(x823,x824,x821)
% 0.65/0.78 [83]P6(x832,x833)+~E(x831,x832)+~P6(x831,x833)
% 0.65/0.78 [84]P6(x843,x842)+~E(x841,x842)+~P6(x843,x841)
% 0.65/0.78 [85]P7(x852,x853,x854)+~E(x851,x852)+~P7(x851,x853,x854)
% 0.65/0.78 [86]P7(x863,x862,x864)+~E(x861,x862)+~P7(x863,x861,x864)
% 0.65/0.78 [87]P7(x873,x874,x872)+~E(x871,x872)+~P7(x873,x874,x871)
% 0.65/0.78 [88]P10(x882,x883,x884)+~E(x881,x882)+~P10(x881,x883,x884)
% 0.65/0.78 [89]P10(x893,x892,x894)+~E(x891,x892)+~P10(x893,x891,x894)
% 0.65/0.78 [90]P10(x903,x904,x902)+~E(x901,x902)+~P10(x903,x904,x901)
% 0.65/0.78 [91]P13(x912,x913,x914)+~E(x911,x912)+~P13(x911,x913,x914)
% 0.65/0.78 [92]P13(x923,x922,x924)+~E(x921,x922)+~P13(x923,x921,x924)
% 0.65/0.78 [93]P13(x933,x934,x932)+~E(x931,x932)+~P13(x933,x934,x931)
% 0.65/0.78 [94]P5(x942,x943)+~E(x941,x942)+~P5(x941,x943)
% 0.65/0.78 [95]P5(x953,x952)+~E(x951,x952)+~P5(x953,x951)
% 0.65/0.78 [96]P12(x962,x963,x964,x965)+~E(x961,x962)+~P12(x961,x963,x964,x965)
% 0.65/0.78 [97]P12(x973,x972,x974,x975)+~E(x971,x972)+~P12(x973,x971,x974,x975)
% 0.65/0.78 [98]P12(x983,x984,x982,x985)+~E(x981,x982)+~P12(x983,x984,x981,x985)
% 0.65/0.78 [99]P12(x993,x994,x995,x992)+~E(x991,x992)+~P12(x993,x994,x995,x991)
% 0.65/0.78 [100]P9(x1002,x1003,x1004)+~E(x1001,x1002)+~P9(x1001,x1003,x1004)
% 0.65/0.78 [101]P9(x1013,x1012,x1014)+~E(x1011,x1012)+~P9(x1013,x1011,x1014)
% 0.65/0.78 [102]P9(x1023,x1024,x1022)+~E(x1021,x1022)+~P9(x1023,x1024,x1021)
% 0.65/0.78 [103]P14(x1032,x1033)+~E(x1031,x1032)+~P14(x1031,x1033)
% 0.65/0.78 [104]P14(x1043,x1042)+~E(x1041,x1042)+~P14(x1043,x1041)
% 0.65/0.78
% 0.65/0.78 %-------------------------------------------
% 0.65/0.78 cnf(248,plain,
% 0.65/0.78 (~P3(x2481,a4,x2482,x2483)),
% 0.65/0.78 inference(scs_inference,[],[111,235])).
% 0.65/0.78 cnf(258,plain,
% 0.65/0.78 (P1(a4,x2581)),
% 0.65/0.78 inference(scs_inference,[],[111,235,234,150,149,148,147,124])).
% 0.65/0.78 cnf(259,plain,
% 0.65/0.78 (~P8(x2591,a4)),
% 0.65/0.78 inference(rename_variables,[],[111])).
% 0.65/0.78 cnf(261,plain,
% 0.65/0.78 (P11(x2611,x2612,a4)),
% 0.65/0.78 inference(scs_inference,[],[111,259,235,234,150,149,148,147,124,167])).
% 0.65/0.78 cnf(262,plain,
% 0.65/0.78 (~P8(x2621,a4)),
% 0.65/0.78 inference(rename_variables,[],[111])).
% 0.65/0.78 cnf(264,plain,
% 0.65/0.78 (P15(x2641,x2642,a4)),
% 0.65/0.78 inference(scs_inference,[],[111,259,262,235,234,150,149,148,147,124,167,166])).
% 0.65/0.78 cnf(265,plain,
% 0.65/0.78 (~P8(x2651,a4)),
% 0.65/0.78 inference(rename_variables,[],[111])).
% 0.65/0.78 cnf(267,plain,
% 0.65/0.78 (~P8(x2671,f34(a4))),
% 0.65/0.78 inference(scs_inference,[],[111,259,262,265,235,234,150,149,148,147,124,167,166,134])).
% 0.65/0.78 cnf(268,plain,
% 0.65/0.78 (~P8(x2681,a4)),
% 0.65/0.78 inference(rename_variables,[],[111])).
% 0.65/0.78 cnf(271,plain,
% 0.65/0.78 (~P1(x2711,x2712)+P5(x2711,x2712)+~P1(x2712,x2711)),
% 0.65/0.78 inference(rename_variables,[],[126])).
% 0.65/0.78 cnf(272,plain,
% 0.65/0.78 (P11(a11,a3,a1)),
% 0.65/0.78 inference(scs_inference,[],[111,259,262,265,109,235,234,150,149,148,147,124,167,166,134,126,237])).
% 0.65/0.78 cnf(274,plain,
% 0.65/0.78 (P6(a3,a2)),
% 0.65/0.78 inference(scs_inference,[],[111,259,262,265,108,109,235,234,150,149,148,147,124,167,166,134,126,237,119])).
% 0.65/0.78 cnf(276,plain,
% 0.65/0.78 (~P8(x2761,f5(a4,x2762))),
% 0.65/0.78 inference(scs_inference,[],[111,259,262,265,268,108,109,235,234,150,149,148,147,124,167,166,134,126,237,119,140])).
% 0.65/0.78 cnf(278,plain,
% 0.65/0.78 (~P8(x2781,f26(a4,x2782))),
% 0.65/0.78 inference(scs_inference,[],[111,259,262,265,268,108,109,235,234,150,149,148,147,124,167,166,134,126,237,119,140,139])).
% 0.65/0.78 cnf(280,plain,
% 0.65/0.78 (~P8(x2801,f26(x2802,a4))),
% 0.65/0.78 inference(scs_inference,[],[111,259,262,265,268,108,109,235,234,150,149,148,147,124,167,166,134,126,237,119,140,139,138])).
% 0.65/0.78 cnf(284,plain,
% 0.65/0.78 (P8(x2841,f31(a4))),
% 0.65/0.78 inference(scs_inference,[],[105,111,259,262,265,268,108,109,235,234,150,149,148,147,124,167,166,134,126,237,119,140,139,138,120,127])).
% 0.65/0.78 cnf(285,plain,
% 0.65/0.78 (~P8(x2851,a4)),
% 0.65/0.78 inference(rename_variables,[],[111])).
% 0.65/0.78 cnf(288,plain,
% 0.65/0.78 (~E(f14(a2),a4)),
% 0.65/0.78 inference(scs_inference,[],[105,111,259,262,265,268,285,108,109,235,234,150,149,148,147,124,167,166,134,126,237,119,140,139,138,120,127,102,79])).
% 0.65/0.78 cnf(289,plain,
% 0.65/0.78 (~P8(x2891,a4)),
% 0.65/0.78 inference(rename_variables,[],[111])).
% 0.65/0.78 cnf(290,plain,
% 0.65/0.78 (~P1(f14(a2),a4)),
% 0.65/0.78 inference(scs_inference,[],[105,111,259,262,265,268,285,289,108,109,235,234,150,149,148,147,124,167,166,134,126,237,119,140,139,138,120,127,102,79,125])).
% 0.65/0.78 cnf(291,plain,
% 0.65/0.78 (~P8(x2911,a4)),
% 0.65/0.78 inference(rename_variables,[],[111])).
% 0.65/0.78 cnf(297,plain,
% 0.65/0.78 (P8(a1,f26(f14(a2),f14(a2)))),
% 0.65/0.78 inference(scs_inference,[],[105,111,259,262,265,268,285,289,291,108,109,235,234,150,149,148,147,124,167,166,134,126,237,119,140,139,138,120,127,102,79,125,132,145,143])).
% 0.65/0.78 cnf(302,plain,
% 0.65/0.78 (~P8(f14(a2),f32(a4,a4))),
% 0.65/0.78 inference(scs_inference,[],[105,111,259,262,265,268,285,289,291,108,109,235,234,150,149,148,147,124,167,166,134,126,237,119,140,139,138,120,127,102,79,125,132,145,143,135,131])).
% 0.65/0.78 cnf(310,plain,
% 0.65/0.78 (~P8(a12,x3101)+~P7(a11,a3,x3101)),
% 0.65/0.78 inference(scs_inference,[],[105,111,259,262,265,268,285,289,291,108,109,112,235,234,150,149,148,147,124,167,166,134,126,237,119,140,139,138,120,127,102,79,125,132,145,143,135,131,116,115,142,161])).
% 0.65/0.78 cnf(312,plain,
% 0.65/0.78 (~P8(a11,x3121)+~P9(a12,a3,x3121)),
% 0.65/0.79 inference(scs_inference,[],[105,111,259,262,265,268,285,289,291,108,109,112,235,234,150,149,148,147,124,167,166,134,126,237,119,140,139,138,120,127,102,79,125,132,145,143,135,131,116,115,142,161,160])).
% 0.65/0.79 cnf(326,plain,
% 0.65/0.79 (~P8(a12,a2)+~P11(a12,a3,a1)+~E(x3261,a4)),
% 0.65/0.79 inference(scs_inference,[],[105,111,259,262,265,268,285,289,291,108,109,112,235,234,150,149,148,147,124,167,166,134,126,237,119,140,139,138,120,127,102,79,125,132,145,143,135,131,116,115,142,161,160,271,137,136,223,186,185,241])).
% 0.65/0.79 cnf(332,plain,
% 0.65/0.79 (~P11(a12,a3,a1)+~P8(a12,a2)),
% 0.65/0.79 inference(equality_inference,[],[326])).
% 0.65/0.79 cnf(336,plain,
% 0.65/0.79 (P8(x3361,f33(f31(a4),x3362))),
% 0.65/0.79 inference(scs_inference,[],[288,284,2,144,129])).
% 0.65/0.79 cnf(338,plain,
% 0.65/0.79 (P8(x3381,f33(x3382,f31(a4)))),
% 0.65/0.79 inference(scs_inference,[],[288,284,2,144,129,128])).
% 0.65/0.79 cnf(342,plain,
% 0.65/0.79 (~P8(f14(a2),f13(a4))),
% 0.65/0.79 inference(scs_inference,[],[288,284,290,2,144,129,128,123,114])).
% 0.65/0.79 cnf(347,plain,
% 0.65/0.79 (P8(x3471,f31(a4))),
% 0.65/0.79 inference(rename_variables,[],[284])).
% 0.65/0.79 cnf(350,plain,
% 0.65/0.79 (P8(x3501,f31(a4))),
% 0.65/0.79 inference(rename_variables,[],[284])).
% 0.65/0.79 cnf(354,plain,
% 0.65/0.79 (P8(x3541,f5(f31(a4),f5(a4,x3542)))),
% 0.65/0.79 inference(scs_inference,[],[110,112,276,288,248,284,347,350,302,290,2,144,129,128,123,114,75,163,162,145,135])).
% 0.65/0.79 cnf(359,plain,
% 0.65/0.79 (P8(a12,a10)),
% 0.65/0.79 inference(scs_inference,[],[110,112,276,288,248,284,347,350,302,290,2,144,129,128,123,114,75,163,162,145,135,237,235])).
% 0.65/0.79 cnf(361,plain,
% 0.65/0.79 (P8(f15(f14(a2),a4),f14(a2))),
% 0.65/0.79 inference(scs_inference,[],[110,112,276,288,248,284,347,350,302,290,2,144,129,128,123,114,75,163,162,145,135,237,235,124])).
% 0.65/0.79 cnf(364,plain,
% 0.65/0.79 (P8(x3641,f31(a4))),
% 0.65/0.79 inference(rename_variables,[],[284])).
% 0.65/0.79 cnf(366,plain,
% 0.65/0.79 (~P9(a12,a3,f31(a4))),
% 0.65/0.79 inference(scs_inference,[],[110,112,276,288,248,284,347,350,364,302,290,2,144,129,128,123,114,75,163,162,145,135,237,235,124,161,160])).
% 0.65/0.79 cnf(367,plain,
% 0.65/0.79 (P8(x3671,f31(a4))),
% 0.65/0.79 inference(rename_variables,[],[284])).
% 0.65/0.79 cnf(377,plain,
% 0.65/0.79 (P1(x3771,f31(a4))),
% 0.65/0.79 inference(scs_inference,[],[110,112,276,288,248,284,347,350,364,367,302,290,2,144,129,128,123,114,75,163,162,145,135,237,235,124,161,160,131,312,310,236,141])).
% 0.65/0.79 cnf(378,plain,
% 0.65/0.79 (P8(x3781,f31(a4))),
% 0.65/0.79 inference(rename_variables,[],[284])).
% 0.65/0.79 cnf(384,plain,
% 0.65/0.79 (P8(x3841,f31(a4))),
% 0.65/0.79 inference(rename_variables,[],[284])).
% 0.65/0.79 cnf(385,plain,
% 0.65/0.79 (P8(x3851,f31(a4))),
% 0.65/0.79 inference(rename_variables,[],[284])).
% 0.65/0.79 cnf(396,plain,
% 0.65/0.79 (~P11(a12,a3,a1)),
% 0.65/0.79 inference(scs_inference,[],[107,110,112,111,276,288,248,284,347,350,364,367,378,385,384,264,302,297,290,2,144,129,128,123,114,75,163,162,145,135,237,235,124,161,160,131,312,310,236,141,101,82,65,130,224,125,79,223,332])).
% 0.65/0.79 cnf(399,plain,
% 0.65/0.79 (~P4(a3,a12,f28(a3,f31(a4),a12))),
% 0.65/0.79 inference(scs_inference,[],[107,110,112,111,276,288,248,284,347,350,364,367,378,385,384,264,302,297,290,2,144,129,128,123,114,75,163,162,145,135,237,235,124,161,160,131,312,310,236,141,101,82,65,130,224,125,79,223,332,209,208])).
% 0.65/0.79 cnf(403,plain,
% 0.65/0.79 (P4(a3,a12,a12)),
% 0.65/0.79 inference(scs_inference,[],[107,110,112,111,276,288,248,284,347,350,364,367,378,385,384,264,302,297,290,274,2,144,129,128,123,114,75,163,162,145,135,237,235,124,161,160,131,312,310,236,141,101,82,65,130,224,125,79,223,332,209,208,133,146])).
% 0.65/0.79 cnf(427,plain,
% 0.65/0.79 (P8(f28(a3,a1,a12),a1)),
% 0.65/0.79 inference(scs_inference,[],[112,396,361,272,403,69,68,123,167])).
% 0.65/0.79 cnf(431,plain,
% 0.65/0.79 (~P1(f33(f31(a4),x4311),a4)),
% 0.65/0.79 inference(scs_inference,[],[112,111,336,396,361,272,403,69,68,123,167,163,125])).
% 0.65/0.79 cnf(432,plain,
% 0.65/0.79 (~P8(x4321,a4)),
% 0.65/0.79 inference(rename_variables,[],[111])).
% 0.65/0.79 cnf(434,plain,
% 0.65/0.79 (P8(a11,a1)),
% 0.65/0.79 inference(scs_inference,[],[109,112,111,336,396,361,272,403,69,68,123,167,163,125,235])).
% 0.65/0.79 cnf(439,plain,
% 0.65/0.79 (~P8(x4391,f26(x4392,a4))),
% 0.65/0.79 inference(rename_variables,[],[280])).
% 0.65/0.79 cnf(441,plain,
% 0.65/0.79 (P11(a12,a3,a10)),
% 0.65/0.79 inference(scs_inference,[],[248,109,110,112,111,336,280,396,361,272,403,69,68,123,167,163,125,235,75,124,237])).
% 0.65/0.79 cnf(455,plain,
% 0.65/0.79 (~P8(x4551,a4)),
% 0.65/0.79 inference(rename_variables,[],[111])).
% 0.65/0.79 cnf(458,plain,
% 0.65/0.79 (~P8(x4581,a4)),
% 0.65/0.79 inference(rename_variables,[],[111])).
% 0.65/0.79 cnf(463,plain,
% 0.65/0.79 (P6(x4631,f26(a4,a4))+P8(f23(f26(a4,a4),x4631),f26(a4,a4))),
% 0.65/0.79 inference(scs_inference,[],[248,109,110,112,111,432,455,458,336,366,280,439,377,261,396,361,272,403,278,258,69,68,123,167,163,125,235,75,124,237,100,71,64,126,247,245,156,155,154,153])).
% 0.65/0.79 cnf(473,plain,
% 0.65/0.79 (P11(x4731,x4732,f34(a4))),
% 0.65/0.79 inference(scs_inference,[],[112,111,359,441,267,243,241,167])).
% 0.65/0.79 cnf(482,plain,
% 0.65/0.79 (P8(f28(a3,a1,a12),a10)),
% 0.65/0.79 inference(scs_inference,[],[106,112,111,431,427,359,441,338,267,399,403,243,241,167,163,68,123,125])).
% 0.65/0.79 cnf(488,plain,
% 0.65/0.79 (P6(x4881,f26(a4,a4))),
% 0.65/0.79 inference(scs_inference,[],[106,112,111,342,431,427,359,441,338,267,399,403,280,396,243,241,167,163,68,123,125,235,237,463])).
% 0.65/0.79 cnf(520,plain,
% 0.65/0.79 (P4(a3,a12,f28(a3,a1,a12))),
% 0.65/0.79 inference(scs_inference,[],[112,111,488,473,482,434,354,278,441,272,118,137,243,241,163])).
% 0.65/0.79 cnf(522,plain,
% 0.65/0.79 (P8(f28(a3,a1,a12),a2)),
% 0.65/0.79 inference(scs_inference,[],[107,112,111,488,473,482,434,354,278,441,272,118,137,243,241,163,125])).
% 0.65/0.79 cnf(541,plain,
% 0.65/0.79 ($false),
% 0.65/0.79 inference(scs_inference,[],[522,520,274,396,146,208]),
% 0.65/0.79 ['proof']).
% 0.65/0.79 % SZS output end Proof
% 0.65/0.79 % Total time :0.170000s
%------------------------------------------------------------------------------