TSTP Solution File: GEO125-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO125-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n001.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 22:43:04 EDT 2023
% Result : Unsatisfiable 5.04s 5.16s
% Output : CNFRefutation 5.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO125-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.16/0.34 % Computer : n001.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Aug 29 20:23:41 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 5.04/5.15 %-------------------------------------------
% 5.04/5.15 % File :CSE---1.6
% 5.04/5.15 % Problem :theBenchmark
% 5.04/5.15 % Transform :cnf
% 5.04/5.15 % Format :tptp:raw
% 5.04/5.15 % Command :java -jar mcs_scs.jar %d %s
% 5.04/5.15
% 5.04/5.15 % Result :Theorem 4.500000s
% 5.04/5.15 % Output :CNFRefutation 4.500000s
% 5.04/5.15 %-------------------------------------------
% 5.04/5.15 %--------------------------------------------------------------------------
% 5.04/5.15 % File : GEO125-1 : TPTP v8.1.2. Released v2.4.0.
% 5.04/5.15 % Domain : Geometry (Oriented curves)
% 5.04/5.15 % Problem : Every oriented curve has at most one finishing point
% 5.04/5.15 % Version : [EHK99] axioms.
% 5.04/5.15 % English :
% 5.04/5.15
% 5.04/5.15 % Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv
% 5.04/5.15 % : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto
% 5.04/5.15 % Source : [TPTP]
% 5.04/5.15 % Names :
% 5.04/5.15
% 5.04/5.15 % Status : Unsatisfiable
% 5.04/5.15 % Rating : 0.19 v8.1.0, 0.11 v7.5.0, 0.16 v7.4.0, 0.12 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.07 v6.4.0, 0.00 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.21 v6.0.0, 0.10 v5.5.0, 0.25 v5.4.0, 0.30 v5.3.0, 0.33 v5.2.0, 0.31 v5.1.0, 0.35 v5.0.0, 0.21 v4.1.0, 0.15 v4.0.1, 0.27 v4.0.0, 0.09 v3.7.0, 0.00 v3.3.0, 0.07 v3.2.0, 0.15 v3.1.0, 0.09 v2.7.0, 0.17 v2.6.0, 0.00 v2.4.0
% 5.04/5.15 % Syntax : Number of clauses : 99 ( 6 unt; 42 nHn; 89 RR)
% 5.04/5.15 % Number of literals : 302 ( 41 equ; 153 neg)
% 5.04/5.15 % Maximal clause size : 12 ( 3 avg)
% 5.04/5.15 % Maximal term depth : 3 ( 1 avg)
% 5.04/5.15 % Number of predicates : 14 ( 13 usr; 0 prp; 1-4 aty)
% 5.04/5.15 % Number of functors : 29 ( 29 usr; 3 con; 0-5 aty)
% 5.04/5.15 % Number of variables : 276 ( 17 sgn)
% 5.04/5.15 % SPC : CNF_UNS_RFO_SEQ_NHN
% 5.04/5.15
% 5.04/5.15 % Comments : Created by tptp2X -f tptp -t clausify:otter GEO125+1.p
% 5.04/5.15 %--------------------------------------------------------------------------
% 5.04/5.15 %----Include simple curve axioms
% 5.04/5.15 include('Axioms/GEO004-0.ax').
% 5.04/5.15 %----Include axioms of betweenness for simple curves
% 5.04/5.15 include('Axioms/GEO004-1.ax').
% 5.04/5.15 %----Include oriented curve axioms
% 5.04/5.15 include('Axioms/GEO004-2.ax').
% 5.04/5.15 %--------------------------------------------------------------------------
% 5.04/5.15 cnf(corollary_4_10_2_133,negated_conjecture,
% 5.04/5.15 finish_point(sk26,sk25) ).
% 5.04/5.15
% 5.04/5.15 cnf(corollary_4_10_2_134,negated_conjecture,
% 5.04/5.15 finish_point(sk27,sk25) ).
% 5.04/5.15
% 5.04/5.15 cnf(corollary_4_10_2_135,negated_conjecture,
% 5.04/5.15 sk26 != sk27 ).
% 5.04/5.15
% 5.04/5.15 %--------------------------------------------------------------------------
% 5.04/5.16 %-------------------------------------------
% 5.04/5.16 % Proof found
% 5.04/5.16 % SZS status Theorem for theBenchmark
% 5.04/5.16 % SZS output start Proof
% 5.04/5.16 %ClaNum:177(EqnAxiom:89)
% 5.04/5.16 %VarNum:701(SingletonVarNum:245)
% 5.04/5.16 %MaxLitNum:12
% 5.04/5.16 %MaxfuncDepth:2
% 5.04/5.16 %SharedTerms:6
% 5.04/5.16 %goalClause: 91 92 95
% 5.04/5.16 %singleGoalClaCount:3
% 5.04/5.16 [91]P2(a19,a20)
% 5.04/5.16 [92]P2(a27,a20)
% 5.04/5.16 [95]~E(a27,a19)
% 5.04/5.16 [90]P1(f1(x901))
% 5.04/5.16 [93]P7(f2(x931),x931)
% 5.04/5.16 [94]P11(f21(x941),x941)
% 5.04/5.16 [96]P3(x961)+P6(f3(x961),x961)
% 5.04/5.16 [98]~P1(x981)+P6(f13(x981),x981)
% 5.04/5.16 [97]P1(x971)+~P6(x972,x971)
% 5.04/5.16 [100]~P3(x1001)+~P6(x1002,x1001)
% 5.04/5.16 [101]~P6(x1011,x1012)+P8(x1011,x1012)
% 5.04/5.16 [102]~P7(x1021,x1022)+P8(x1021,x1022)
% 5.04/5.16 [103]~P11(x1031,x1032)+P9(x1031,x1032)
% 5.04/5.16 [104]~P2(x1041,x1042)+P9(x1041,x1042)
% 5.04/5.16 [106]~P7(x1061,x1062)+~P6(x1061,x1062)
% 5.04/5.16 [105]~P9(x1051,x1052)+P8(x1051,f1(x1052))
% 5.04/5.16 [109]~P6(x1091,x1092)+~E(f4(x1091,x1092),x1091)
% 5.04/5.16 [110]P9(x1101,x1102)+~P8(x1101,f1(x1102))
% 5.04/5.16 [112]P12(x1121,x1122)+P8(f5(x1121,x1122),x1121)
% 5.04/5.16 [118]~P6(x1181,x1182)+P6(f4(x1181,x1182),x1182)
% 5.04/5.16 [127]P12(x1271,x1272)+~P8(f5(x1271,x1272),x1272)
% 5.04/5.16 [139]~P7(x1391,x1392)+P10(x1391,f15(x1391,x1392),f6(x1391,x1392))
% 5.04/5.16 [130]~P7(x1301,x1302)+E(f29(f15(x1301,x1302),f6(x1301,x1302)),x1302)
% 5.04/5.16 [131]P8(x1311,x1312)+~P10(x1311,x1313,x1312)
% 5.04/5.16 [132]P8(x1321,x1322)+~P10(x1321,x1322,x1323)
% 5.04/5.16 [133]P9(x1331,x1332)+~P13(x1332,x1333,x1331)
% 5.04/5.16 [134]P9(x1341,x1342)+~P13(x1342,x1341,x1343)
% 5.04/5.16 [137]~P10(x1373,x1372,x1371)+E(f9(x1371,x1372),f29(x1372,x1371))
% 5.04/5.16 [159]~E(x1591,x1592)+~P4(x1593,x1591,x1594,x1592)
% 5.04/5.16 [169]~P4(x1694,x1693,x1692,x1691)+P6(x1691,f16(x1691,x1692,x1693,x1694))
% 5.04/5.16 [170]~P4(x1704,x1701,x1703,x1702)+P6(x1701,f16(x1702,x1703,x1701,x1704))
% 5.04/5.16 [171]~P4(x1714,x1713,x1711,x1712)+P7(x1711,f16(x1712,x1711,x1713,x1714))
% 5.04/5.16 [172]~P4(x1724,x1723,x1722,x1721)+P12(f16(x1721,x1722,x1723,x1724),x1724)
% 5.04/5.16 [174]~P5(x1741,x1744,x1743,x1742)+P4(f22(x1741,x1742,x1743,x1744),x1744,x1743,x1742)
% 5.04/5.16 [99]P1(x991)+~P12(x991,x992)+E(x991,x992)
% 5.04/5.16 [111]P7(x1111,x1112)+~P8(x1111,x1112)+P6(x1111,x1112)
% 5.04/5.16 [116]~P9(x1161,x1162)+P11(x1161,x1162)+~E(f14(x1162,x1161),x1161)
% 5.04/5.16 [117]~P9(x1171,x1172)+P2(x1171,x1172)+~E(f17(x1172,x1171),x1171)
% 5.04/5.16 [121]~P8(x1211,x1212)+P6(x1211,x1212)+P8(x1211,f7(x1212,x1211))
% 5.04/5.16 [122]~P8(x1221,x1222)+P6(x1221,x1222)+P8(x1221,f11(x1222,x1221))
% 5.04/5.16 [123]~P8(x1231,x1232)+P6(x1231,x1232)+P12(f7(x1232,x1231),x1232)
% 5.04/5.16 [124]~P8(x1241,x1242)+P6(x1241,x1242)+P12(f11(x1242,x1241),x1242)
% 5.04/5.16 [125]~P9(x1251,x1252)+P11(x1251,x1252)+P9(f14(x1252,x1251),x1252)
% 5.04/5.16 [126]~P9(x1261,x1262)+P2(x1261,x1262)+P9(f17(x1262,x1261),x1262)
% 5.04/5.16 [128]E(x1281,x1282)+P8(f8(x1281,x1282),x1282)+P8(f8(x1281,x1282),x1281)
% 5.04/5.16 [129]P8(f18(x1292,x1291),x1291)+P9(f18(x1292,x1291),x1292)+E(x1291,f28(x1292))
% 5.04/5.16 [138]E(x1381,x1382)+~P8(f8(x1381,x1382),x1382)+~P8(f8(x1381,x1382),x1381)
% 5.04/5.16 [140]~P8(f18(x1402,x1401),x1401)+~P9(f18(x1402,x1401),x1402)+E(x1401,f28(x1402))
% 5.04/5.16 [141]~P8(x1411,x1412)+P6(x1411,x1412)+~P12(f7(x1412,x1411),f11(x1412,x1411))
% 5.04/5.16 [142]~P8(x1421,x1422)+P6(x1421,x1422)+~P12(f11(x1422,x1421),f7(x1422,x1421))
% 5.04/5.16 [146]~P9(x1461,x1462)+P11(x1461,x1462)+~P13(x1462,x1461,f14(x1462,x1461))
% 5.04/5.16 [147]~P9(x1471,x1472)+P2(x1471,x1472)+~P13(x1472,f17(x1472,x1471),x1471)
% 5.04/5.16 [150]E(x1501,x1502)+P13(x1502,f25(x1502,x1501),f26(x1502,x1501))+P13(x1501,f25(x1502,x1501),f26(x1502,x1501))
% 5.04/5.16 [156]E(x1561,x1562)+~P13(x1562,f25(x1561,x1562),f26(x1561,x1562))+~P13(x1561,f25(x1561,x1562),f26(x1561,x1562))
% 5.04/5.16 [113]~P8(x1131,x1133)+P8(x1131,x1132)+~P12(x1133,x1132)
% 5.04/5.16 [107]~P9(x1071,x1073)+P8(x1071,x1072)+~E(x1072,f28(x1073))
% 5.04/5.16 [108]~P8(x1081,x1083)+P9(x1081,x1082)+~E(x1083,f28(x1082))
% 5.04/5.16 [160]~P8(f10(x1603,x1602,x1601),x1601)+~P8(f10(x1603,x1602,x1601),x1602)+E(x1601,f29(x1602,x1603))
% 5.04/5.16 [161]~P8(f10(x1613,x1612,x1611),x1611)+~P8(f10(x1613,x1612,x1611),x1613)+E(x1611,f29(x1612,x1613))
% 5.04/5.16 [162]~P13(x1621,x1623,x1622)+~P13(x1621,x1624,x1623)+P5(x1621,x1622,x1623,x1624)
% 5.04/5.16 [163]~P13(x1631,x1633,x1634)+~P13(x1631,x1632,x1633)+P5(x1631,x1632,x1633,x1634)
% 5.04/5.16 [165]P13(x1651,x1653,x1652)+P13(x1651,x1652,x1653)+~P5(x1651,x1654,x1653,x1652)
% 5.04/5.16 [166]~P5(x1661,x1664,x1663,x1662)+P13(x1661,x1662,x1663)+P13(x1661,x1664,x1663)
% 5.04/5.16 [167]~P5(x1671,x1674,x1672,x1673)+P13(x1671,x1672,x1673)+P13(x1671,x1672,x1674)
% 5.04/5.16 [168]P13(x1681,x1683,x1682)+P13(x1681,x1682,x1683)+~P5(x1681,x1683,x1682,x1684)
% 5.04/5.16 [114]~P8(x1141,x1144)+P8(x1141,x1142)+~E(x1142,f29(x1143,x1144))
% 5.04/5.16 [115]~P8(x1151,x1153)+P8(x1151,x1152)+~E(x1152,f29(x1153,x1154))
% 5.04/5.16 [173]~P9(x1731,x1732)+~P5(x1732,x1735,x1734,x1733)+P8(x1731,f22(x1732,x1733,x1734,x1735))
% 5.04/5.16 [175]P9(x1751,x1752)+~P5(x1752,x1753,x1754,x1755)+~P8(x1751,f22(x1752,x1755,x1754,x1753))
% 5.04/5.16 [135]~P9(x1352,x1353)+~P2(x1351,x1353)+E(x1351,x1352)+P13(x1353,x1352,x1351)
% 5.04/5.16 [136]~P11(x1361,x1363)+~P9(x1362,x1363)+E(x1361,x1362)+P13(x1363,x1361,x1362)
% 5.04/5.16 [152]~P8(x1521,x1523)+~P8(x1521,x1522)+P10(x1521,x1522,x1523)+P8(f12(x1523,x1522,x1521),x1523)
% 5.04/5.16 [153]~P8(x1531,x1533)+~P8(x1531,x1532)+P10(x1531,x1532,x1533)+P8(f12(x1533,x1532,x1531),x1532)
% 5.04/5.16 [158]P8(f10(x1583,x1582,x1581),x1581)+P8(f10(x1583,x1582,x1581),x1582)+P8(f10(x1583,x1582,x1581),x1583)+E(x1581,f29(x1582,x1583))
% 5.04/5.16 [144]~P8(x1441,x1442)+P6(x1441,x1442)+~P10(x1444,x1443,x1442)+~P8(x1441,x1443)
% 5.04/5.16 [145]~P8(x1451,x1452)+P6(x1451,x1452)+~P10(x1454,x1452,x1453)+~P8(x1451,x1453)
% 5.04/5.16 [120]~P8(x1201,x1204)+P8(x1201,x1202)+P8(x1201,x1203)+~E(x1204,f29(x1203,x1202))
% 5.04/5.16 [176]~P4(x1765,x1762,x1763,x1764)+P5(x1761,x1762,x1763,x1764)+P8(f23(x1765,x1761,x1764,x1763,x1762),x1765)+P9(f23(x1765,x1761,x1764,x1763,x1762),x1761)
% 5.04/5.16 [177]P5(x1771,x1772,x1773,x1774)+~P4(x1775,x1772,x1773,x1774)+~P8(f23(x1775,x1771,x1774,x1773,x1772),x1775)+~P9(f23(x1775,x1771,x1774,x1773,x1772),x1771)
% 5.04/5.16 [151]~P1(x1513)+~P8(x1512,x1513)+~P8(x1511,x1513)+E(x1511,x1512)+P13(f24(x1513,x1512,x1511),x1511,x1512)
% 5.04/5.16 [164]~P8(x1641,x1643)+~P8(x1641,x1642)+P10(x1641,x1642,x1643)+~P6(f12(x1643,x1642,x1641),x1643)+~P6(f12(x1643,x1642,x1641),x1642)
% 5.04/5.16 [148]~P3(x1484)+~P6(x1481,x1482)+P10(x1481,x1482,x1483)+~P10(x1485,x1482,x1483)+~E(x1484,f29(x1482,x1483))
% 5.04/5.16 [119]E(x1193,x1191)+~P6(x1191,x1194)+~P6(x1193,x1194)+E(x1191,x1192)+E(x1193,x1192)+~P6(x1192,x1194)
% 5.04/5.16 [149]~P1(x1494)+~P8(x1493,x1494)+~P8(x1492,x1494)+~P8(x1491,x1494)+E(x1491,x1492)+P9(x1493,f24(x1494,x1492,x1491))
% 5.04/5.16 [155]~P1(x1554)+~P8(x1552,x1554)+~P8(x1551,x1554)+E(x1551,x1552)+P8(x1553,x1554)+~P9(x1553,f24(x1554,x1552,x1551))
% 5.04/5.16 [157]~P6(x1572,x1575)+~P6(x1571,x1575)+~P7(x1574,x1575)+E(x1571,x1572)+P4(x1573,x1571,x1574,x1572)+~P12(x1575,x1573)
% 5.04/5.16 [143]P12(x1432,x1431)+~P12(x1432,x1433)+~P8(x1434,x1432)+~P6(x1434,x1433)+P12(x1431,x1432)+~P12(x1431,x1433)+~P8(x1434,x1431)
% 5.04/5.16 [154]P12(x1542,x1541)+P12(x1542,x1543)+P12(x1543,x1541)+P12(x1543,x1542)+~P12(x1542,x1544)+~P12(x1543,x1544)+~P6(x1545,x1542)+~P6(x1545,x1543)+P12(x1541,x1542)+P12(x1541,x1543)+~P12(x1541,x1544)+~P6(x1545,x1541)
% 5.04/5.16 %EqnAxiom
% 5.04/5.16 [1]E(x11,x11)
% 5.04/5.16 [2]E(x22,x21)+~E(x21,x22)
% 5.04/5.16 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 5.04/5.16 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 5.04/5.16 [5]~E(x51,x52)+E(f2(x51),f2(x52))
% 5.04/5.16 [6]~E(x61,x62)+E(f21(x61),f21(x62))
% 5.04/5.16 [7]~E(x71,x72)+E(f3(x71),f3(x72))
% 5.04/5.16 [8]~E(x81,x82)+E(f13(x81),f13(x82))
% 5.04/5.16 [9]~E(x91,x92)+E(f23(x91,x93,x94,x95,x96),f23(x92,x93,x94,x95,x96))
% 5.04/5.16 [10]~E(x101,x102)+E(f23(x103,x101,x104,x105,x106),f23(x103,x102,x104,x105,x106))
% 5.04/5.16 [11]~E(x111,x112)+E(f23(x113,x114,x111,x115,x116),f23(x113,x114,x112,x115,x116))
% 5.04/5.16 [12]~E(x121,x122)+E(f23(x123,x124,x125,x121,x126),f23(x123,x124,x125,x122,x126))
% 5.04/5.16 [13]~E(x131,x132)+E(f23(x133,x134,x135,x136,x131),f23(x133,x134,x135,x136,x132))
% 5.04/5.16 [14]~E(x141,x142)+E(f28(x141),f28(x142))
% 5.04/5.16 [15]~E(x151,x152)+E(f22(x151,x153,x154,x155),f22(x152,x153,x154,x155))
% 5.04/5.16 [16]~E(x161,x162)+E(f22(x163,x161,x164,x165),f22(x163,x162,x164,x165))
% 5.04/5.16 [17]~E(x171,x172)+E(f22(x173,x174,x171,x175),f22(x173,x174,x172,x175))
% 5.04/5.16 [18]~E(x181,x182)+E(f22(x183,x184,x185,x181),f22(x183,x184,x185,x182))
% 5.04/5.16 [19]~E(x191,x192)+E(f4(x191,x193),f4(x192,x193))
% 5.04/5.16 [20]~E(x201,x202)+E(f4(x203,x201),f4(x203,x202))
% 5.04/5.16 [21]~E(x211,x212)+E(f16(x211,x213,x214,x215),f16(x212,x213,x214,x215))
% 5.04/5.16 [22]~E(x221,x222)+E(f16(x223,x221,x224,x225),f16(x223,x222,x224,x225))
% 5.04/5.16 [23]~E(x231,x232)+E(f16(x233,x234,x231,x235),f16(x233,x234,x232,x235))
% 5.04/5.16 [24]~E(x241,x242)+E(f16(x243,x244,x245,x241),f16(x243,x244,x245,x242))
% 5.04/5.16 [25]~E(x251,x252)+E(f5(x251,x253),f5(x252,x253))
% 5.04/5.16 [26]~E(x261,x262)+E(f5(x263,x261),f5(x263,x262))
% 5.04/5.16 [27]~E(x271,x272)+E(f29(x271,x273),f29(x272,x273))
% 5.04/5.16 [28]~E(x281,x282)+E(f29(x283,x281),f29(x283,x282))
% 5.04/5.16 [29]~E(x291,x292)+E(f10(x291,x293,x294),f10(x292,x293,x294))
% 5.04/5.16 [30]~E(x301,x302)+E(f10(x303,x301,x304),f10(x303,x302,x304))
% 5.04/5.16 [31]~E(x311,x312)+E(f10(x313,x314,x311),f10(x313,x314,x312))
% 5.04/5.16 [32]~E(x321,x322)+E(f14(x321,x323),f14(x322,x323))
% 5.04/5.16 [33]~E(x331,x332)+E(f14(x333,x331),f14(x333,x332))
% 5.04/5.16 [34]~E(x341,x342)+E(f17(x341,x343),f17(x342,x343))
% 5.04/5.16 [35]~E(x351,x352)+E(f17(x353,x351),f17(x353,x352))
% 5.04/5.16 [36]~E(x361,x362)+E(f12(x361,x363,x364),f12(x362,x363,x364))
% 5.04/5.16 [37]~E(x371,x372)+E(f12(x373,x371,x374),f12(x373,x372,x374))
% 5.04/5.16 [38]~E(x381,x382)+E(f12(x383,x384,x381),f12(x383,x384,x382))
% 5.04/5.16 [39]~E(x391,x392)+E(f26(x391,x393),f26(x392,x393))
% 5.04/5.16 [40]~E(x401,x402)+E(f26(x403,x401),f26(x403,x402))
% 5.04/5.16 [41]~E(x411,x412)+E(f7(x411,x413),f7(x412,x413))
% 5.04/5.16 [42]~E(x421,x422)+E(f7(x423,x421),f7(x423,x422))
% 5.04/5.16 [43]~E(x431,x432)+E(f11(x431,x433),f11(x432,x433))
% 5.04/5.16 [44]~E(x441,x442)+E(f11(x443,x441),f11(x443,x442))
% 5.04/5.16 [45]~E(x451,x452)+E(f18(x451,x453),f18(x452,x453))
% 5.04/5.16 [46]~E(x461,x462)+E(f18(x463,x461),f18(x463,x462))
% 5.04/5.16 [47]~E(x471,x472)+E(f24(x471,x473,x474),f24(x472,x473,x474))
% 5.04/5.16 [48]~E(x481,x482)+E(f24(x483,x481,x484),f24(x483,x482,x484))
% 5.04/5.16 [49]~E(x491,x492)+E(f24(x493,x494,x491),f24(x493,x494,x492))
% 5.04/5.16 [50]~E(x501,x502)+E(f8(x501,x503),f8(x502,x503))
% 5.04/5.16 [51]~E(x511,x512)+E(f8(x513,x511),f8(x513,x512))
% 5.04/5.16 [52]~E(x521,x522)+E(f25(x521,x523),f25(x522,x523))
% 5.04/5.16 [53]~E(x531,x532)+E(f25(x533,x531),f25(x533,x532))
% 5.04/5.16 [54]~E(x541,x542)+E(f6(x541,x543),f6(x542,x543))
% 5.04/5.16 [55]~E(x551,x552)+E(f6(x553,x551),f6(x553,x552))
% 5.04/5.16 [56]~E(x561,x562)+E(f15(x561,x563),f15(x562,x563))
% 5.04/5.16 [57]~E(x571,x572)+E(f15(x573,x571),f15(x573,x572))
% 5.04/5.16 [58]~E(x581,x582)+E(f9(x581,x583),f9(x582,x583))
% 5.04/5.16 [59]~E(x591,x592)+E(f9(x593,x591),f9(x593,x592))
% 5.04/5.16 [60]~P1(x601)+P1(x602)+~E(x601,x602)
% 5.04/5.16 [61]P2(x612,x613)+~E(x611,x612)+~P2(x611,x613)
% 5.04/5.16 [62]P2(x623,x622)+~E(x621,x622)+~P2(x623,x621)
% 5.04/5.16 [63]P8(x632,x633)+~E(x631,x632)+~P8(x631,x633)
% 5.04/5.16 [64]P8(x643,x642)+~E(x641,x642)+~P8(x643,x641)
% 5.04/5.16 [65]P7(x652,x653)+~E(x651,x652)+~P7(x651,x653)
% 5.04/5.16 [66]P7(x663,x662)+~E(x661,x662)+~P7(x663,x661)
% 5.04/5.16 [67]P11(x672,x673)+~E(x671,x672)+~P11(x671,x673)
% 5.04/5.16 [68]P11(x683,x682)+~E(x681,x682)+~P11(x683,x681)
% 5.04/5.16 [69]~P3(x691)+P3(x692)+~E(x691,x692)
% 5.04/5.16 [70]P6(x702,x703)+~E(x701,x702)+~P6(x701,x703)
% 5.04/5.16 [71]P6(x713,x712)+~E(x711,x712)+~P6(x713,x711)
% 5.04/5.16 [72]P9(x722,x723)+~E(x721,x722)+~P9(x721,x723)
% 5.04/5.16 [73]P9(x733,x732)+~E(x731,x732)+~P9(x733,x731)
% 5.04/5.16 [74]P13(x742,x743,x744)+~E(x741,x742)+~P13(x741,x743,x744)
% 5.04/5.16 [75]P13(x753,x752,x754)+~E(x751,x752)+~P13(x753,x751,x754)
% 5.04/5.16 [76]P13(x763,x764,x762)+~E(x761,x762)+~P13(x763,x764,x761)
% 5.04/5.16 [77]P5(x772,x773,x774,x775)+~E(x771,x772)+~P5(x771,x773,x774,x775)
% 5.04/5.16 [78]P5(x783,x782,x784,x785)+~E(x781,x782)+~P5(x783,x781,x784,x785)
% 5.04/5.16 [79]P5(x793,x794,x792,x795)+~E(x791,x792)+~P5(x793,x794,x791,x795)
% 5.04/5.16 [80]P5(x803,x804,x805,x802)+~E(x801,x802)+~P5(x803,x804,x805,x801)
% 5.04/5.16 [81]P4(x812,x813,x814,x815)+~E(x811,x812)+~P4(x811,x813,x814,x815)
% 5.04/5.16 [82]P4(x823,x822,x824,x825)+~E(x821,x822)+~P4(x823,x821,x824,x825)
% 5.04/5.16 [83]P4(x833,x834,x832,x835)+~E(x831,x832)+~P4(x833,x834,x831,x835)
% 5.04/5.16 [84]P4(x843,x844,x845,x842)+~E(x841,x842)+~P4(x843,x844,x845,x841)
% 5.04/5.16 [85]P10(x852,x853,x854)+~E(x851,x852)+~P10(x851,x853,x854)
% 5.04/5.16 [86]P10(x863,x862,x864)+~E(x861,x862)+~P10(x863,x861,x864)
% 5.04/5.16 [87]P10(x873,x874,x872)+~E(x871,x872)+~P10(x873,x874,x871)
% 5.04/5.16 [88]P12(x882,x883)+~E(x881,x882)+~P12(x881,x883)
% 5.04/5.16 [89]P12(x893,x892)+~E(x891,x892)+~P12(x893,x891)
% 5.04/5.16
% 5.04/5.16 %-------------------------------------------
% 5.04/5.16 cnf(178,plain,
% 5.04/5.16 (~E(a19,a27)),
% 5.04/5.16 inference(scs_inference,[],[95,2])).
% 5.04/5.16 cnf(179,plain,
% 5.04/5.16 (~P6(f2(x1791),x1791)),
% 5.04/5.16 inference(scs_inference,[],[95,93,2,106])).
% 5.04/5.16 cnf(181,plain,
% 5.04/5.16 (P9(a19,a20)),
% 5.04/5.16 inference(scs_inference,[],[91,95,93,2,106,104])).
% 5.04/5.16 cnf(183,plain,
% 5.04/5.16 (P9(f21(x1831),x1831)),
% 5.04/5.16 inference(scs_inference,[],[91,95,93,94,2,106,104,103])).
% 5.04/5.16 cnf(185,plain,
% 5.04/5.16 (P8(f2(x1851),x1851)),
% 5.04/5.16 inference(scs_inference,[],[91,95,93,94,2,106,104,103,102])).
% 5.04/5.16 cnf(187,plain,
% 5.04/5.16 (P8(a19,f1(a20))),
% 5.04/5.16 inference(scs_inference,[],[91,95,93,94,2,106,104,103,102,105])).
% 5.04/5.16 cnf(189,plain,
% 5.04/5.16 (P6(f13(f1(x1891)),f1(x1891))),
% 5.04/5.16 inference(scs_inference,[],[91,95,93,94,90,2,106,104,103,102,105,98])).
% 5.04/5.16 cnf(191,plain,
% 5.04/5.16 (P6(f4(f13(f1(x1911)),f1(x1911)),f1(x1911))),
% 5.04/5.17 inference(scs_inference,[],[91,95,93,94,90,2,106,104,103,102,105,98,118])).
% 5.04/5.17 cnf(193,plain,
% 5.04/5.17 (P10(f2(x1931),f15(f2(x1931),x1931),f6(f2(x1931),x1931))),
% 5.04/5.17 inference(scs_inference,[],[91,95,93,94,90,2,106,104,103,102,105,98,118,139])).
% 5.04/5.17 cnf(195,plain,
% 5.04/5.17 (~P6(f2(x1951),x1952)+~E(x1952,x1951)),
% 5.04/5.17 inference(scs_inference,[],[91,95,93,94,90,2,106,104,103,102,105,98,118,139,71])).
% 5.04/5.17 cnf(197,plain,
% 5.04/5.17 (~P10(x1971,f1(x1972),f1(x1972))),
% 5.04/5.17 inference(scs_inference,[],[91,95,93,94,90,2,106,104,103,102,105,98,118,139,71,70,145])).
% 5.04/5.17 cnf(199,plain,
% 5.04/5.17 (~P3(f1(x1991))),
% 5.04/5.17 inference(scs_inference,[],[91,95,93,94,90,2,106,104,103,102,105,98,118,139,71,70,145,100])).
% 5.04/5.17 cnf(201,plain,
% 5.04/5.17 (P9(f2(f1(x2011)),x2011)),
% 5.04/5.17 inference(scs_inference,[],[91,95,93,94,90,2,106,104,103,102,105,98,118,139,71,70,145,100,110])).
% 5.04/5.17 cnf(224,plain,
% 5.04/5.17 (P8(f4(f13(f1(x2241)),f1(x2241)),f1(x2241))),
% 5.04/5.17 inference(scs_inference,[],[191,101])).
% 5.04/5.17 cnf(226,plain,
% 5.04/5.17 (P6(f3(f1(x2261)),f1(x2261))),
% 5.04/5.17 inference(scs_inference,[],[191,199,101,96])).
% 5.04/5.17 cnf(228,plain,
% 5.04/5.17 (~P12(f11(x2281,f2(x2281)),f7(x2281,f2(x2281)))),
% 5.04/5.17 inference(scs_inference,[],[191,179,185,199,101,96,142])).
% 5.04/5.17 cnf(229,plain,
% 5.04/5.17 (P8(f2(x2291),x2291)),
% 5.04/5.17 inference(rename_variables,[],[185])).
% 5.04/5.17 cnf(231,plain,
% 5.04/5.17 (~P12(f7(x2311,f2(x2311)),f11(x2311,f2(x2311)))),
% 5.04/5.17 inference(scs_inference,[],[191,179,185,229,199,101,96,142,141])).
% 5.04/5.17 cnf(234,plain,
% 5.04/5.17 (P8(f12(f1(a20),f1(a20),a19),f1(a20))),
% 5.04/5.17 inference(scs_inference,[],[191,179,185,229,197,199,187,101,96,142,141,153])).
% 5.04/5.17 cnf(235,plain,
% 5.04/5.17 (~P10(x2351,f1(x2352),f1(x2352))),
% 5.04/5.17 inference(rename_variables,[],[197])).
% 5.04/5.17 cnf(239,plain,
% 5.04/5.17 (~P12(f11(x2391,f2(x2391)),x2392)+~E(x2392,f7(x2391,f2(x2391)))),
% 5.04/5.17 inference(scs_inference,[],[191,179,185,229,197,199,187,101,96,142,141,153,106,89])).
% 5.04/5.17 cnf(240,plain,
% 5.04/5.17 (P13(a20,a19,a27)),
% 5.04/5.17 inference(scs_inference,[],[92,95,191,179,185,229,197,199,187,181,101,96,142,141,153,106,89,135])).
% 5.04/5.17 cnf(242,plain,
% 5.04/5.17 (~P6(f12(f1(a20),f1(a20),a19),f1(a20))),
% 5.04/5.17 inference(scs_inference,[],[92,95,191,179,185,229,197,235,199,187,181,101,96,142,141,153,106,89,135,164])).
% 5.04/5.17 cnf(280,plain,
% 5.04/5.17 (P7(f12(f1(a20),f1(a20),a19),f1(a20))),
% 5.04/5.17 inference(scs_inference,[],[234,242,111])).
% 5.04/5.17 cnf(289,plain,
% 5.04/5.17 (P12(f11(x2891,f2(x2891)),x2891)),
% 5.04/5.17 inference(scs_inference,[],[185,179,124])).
% 5.04/5.17 cnf(292,plain,
% 5.04/5.17 (~P7(f13(f1(x2921)),f1(x2921))),
% 5.04/5.17 inference(scs_inference,[],[189,185,179,124,106])).
% 5.04/5.17 cnf(305,plain,
% 5.04/5.17 (~P8(a27,f1(a20))+~E(f6(f2(x3051),x3051),f1(x3052))+P13(f24(f1(a20),a19,a27),a27,a19)),
% 5.04/5.17 inference(scs_inference,[],[94,95,90,93,201,240,189,197,193,185,187,179,124,106,87,86,65,239,136,163,162,151])).
% 5.04/5.17 cnf(316,plain,
% 5.04/5.17 (~E(x3161,f7(x3161,f2(x3161)))),
% 5.04/5.17 inference(scs_inference,[],[93,289,292,228,66,65,89])).
% 5.04/5.17 cnf(317,plain,
% 5.04/5.17 (P12(f11(x3171,f2(x3171)),x3171)),
% 5.04/5.17 inference(rename_variables,[],[289])).
% 5.04/5.17 cnf(324,plain,
% 5.04/5.17 (P9(a27,a20)),
% 5.04/5.17 inference(scs_inference,[],[95,93,224,289,317,292,92,228,66,65,89,99,120,119,104])).
% 5.04/5.17 cnf(331,plain,
% 5.04/5.17 (~E(x3311,f1(x3312))+P8(f21(x3313),f1(x3313))),
% 5.04/5.17 inference(scs_inference,[],[95,93,224,289,317,292,183,92,228,66,65,89,99,120,119,104,111,2,110,105])).
% 5.04/5.17 cnf(342,plain,
% 5.04/5.17 (P8(f21(x3422),f1(x3422))),
% 5.04/5.17 inference(equality_inference,[],[331])).
% 5.04/5.17 cnf(346,plain,
% 5.04/5.17 (P8(f12(f1(x3461),f1(x3461),f21(x3461)),f1(x3461))),
% 5.04/5.17 inference(scs_inference,[],[342,197,152])).
% 5.04/5.17 cnf(347,plain,
% 5.04/5.17 (P8(f21(x3471),f1(x3471))),
% 5.04/5.17 inference(rename_variables,[],[342])).
% 5.04/5.17 cnf(350,plain,
% 5.04/5.17 (P12(f7(x3501,f2(x3501)),x3501)),
% 5.04/5.17 inference(scs_inference,[],[179,342,185,197,152,123])).
% 5.04/5.17 cnf(351,plain,
% 5.04/5.17 (P8(f2(x3511),x3511)),
% 5.04/5.17 inference(rename_variables,[],[185])).
% 5.04/5.17 cnf(354,plain,
% 5.04/5.17 (P8(f2(x3541),x3541)),
% 5.04/5.17 inference(rename_variables,[],[185])).
% 5.04/5.17 cnf(356,plain,
% 5.04/5.17 (P6(f4(f3(f1(x3561)),f1(x3561)),f1(x3561))),
% 5.04/5.17 inference(scs_inference,[],[179,342,226,185,351,197,152,123,121,118])).
% 5.04/5.17 cnf(358,plain,
% 5.04/5.17 (P13(a20,a27,a19)),
% 5.04/5.17 inference(scs_inference,[],[178,179,342,324,226,91,185,351,197,152,123,121,118,135])).
% 5.04/5.17 cnf(361,plain,
% 5.04/5.17 (P8(f2(x3611),f15(f2(x3611),x3611))),
% 5.04/5.17 inference(scs_inference,[],[178,90,179,342,324,226,91,193,185,351,197,152,123,121,118,135,60,132])).
% 5.04/5.17 cnf(365,plain,
% 5.04/5.17 (P8(f3(f1(x3651)),f1(x3651))),
% 5.04/5.17 inference(scs_inference,[],[178,90,179,342,324,226,91,193,185,351,197,152,123,121,118,135,60,132,131,101])).
% 5.04/5.17 cnf(367,plain,
% 5.04/5.17 (P6(f2(x3671),f6(f2(x3671),x3671))),
% 5.04/5.17 inference(scs_inference,[],[178,90,179,342,324,226,91,193,185,351,197,152,123,121,118,135,60,132,131,101,144])).
% 5.04/5.17 cnf(383,plain,
% 5.04/5.17 (P6(f2(x3831),f15(f2(x3831),x3831))+~E(f1(x3832),x3833)),
% 5.04/5.17 inference(scs_inference,[],[95,178,90,179,342,347,324,289,226,91,193,185,351,354,197,152,123,121,118,135,60,132,131,101,144,122,70,97,143,87,99,98,145])).
% 5.04/5.17 cnf(394,plain,
% 5.04/5.17 (P6(f2(x3941),f15(f2(x3941),x3941))),
% 5.04/5.17 inference(equality_inference,[],[383])).
% 5.04/5.17 cnf(396,plain,
% 5.04/5.17 (~E(f6(f2(x3961),x3961),x3961)),
% 5.04/5.17 inference(scs_inference,[],[367,195])).
% 5.04/5.17 cnf(404,plain,
% 5.04/5.17 (P7(f2(x4041),x4042)+~E(x4041,x4042)),
% 5.04/5.17 inference(scs_inference,[],[90,178,93,346,367,187,195,3,100,149,66])).
% 5.04/5.17 cnf(429,plain,
% 5.04/5.17 (P8(a27,f1(a20))),
% 5.04/5.17 inference(scs_inference,[],[324,105])).
% 5.04/5.17 cnf(431,plain,
% 5.04/5.17 (P8(f4(f3(f1(x4311)),f1(x4311)),f1(x4311))),
% 5.04/5.17 inference(scs_inference,[],[356,324,105,101])).
% 5.04/5.17 cnf(437,plain,
% 5.04/5.17 (~E(x4371,f11(x4371,f2(x4371)))),
% 5.04/5.17 inference(scs_inference,[],[394,356,350,324,231,105,101,106,404,305,89])).
% 5.04/5.17 cnf(450,plain,
% 5.04/5.17 (P5(a20,a19,a27,a19)),
% 5.04/5.17 inference(scs_inference,[],[429,358,197,240,152,163])).
% 5.04/5.17 cnf(452,plain,
% 5.04/5.17 (P5(a20,a27,a19,a27)),
% 5.04/5.17 inference(scs_inference,[],[429,358,197,240,152,163,162])).
% 5.04/5.17 cnf(454,plain,
% 5.04/5.17 (P4(f22(a20,a19,a27,a19),a19,a27,a19)),
% 5.04/5.17 inference(scs_inference,[],[429,358,197,240,152,163,162,174])).
% 5.04/5.17 cnf(456,plain,
% 5.04/5.17 (P12(f16(a19,a27,a19,f22(a20,a19,a27,a19)),f22(a20,a19,a27,a19))),
% 5.04/5.17 inference(scs_inference,[],[429,358,197,240,152,163,162,174,172])).
% 5.04/5.17 cnf(458,plain,
% 5.04/5.17 (P7(a27,f16(a19,a27,a19,f22(a20,a19,a27,a19)))),
% 5.04/5.17 inference(scs_inference,[],[429,358,197,240,152,163,162,174,172,171])).
% 5.04/5.17 cnf(460,plain,
% 5.04/5.17 (P6(a19,f16(a19,a27,a19,f22(a20,a19,a27,a19)))),
% 5.04/5.17 inference(scs_inference,[],[429,358,197,240,152,163,162,174,172,171,170])).
% 5.04/5.17 cnf(464,plain,
% 5.04/5.17 (P9(f2(f22(a20,a19,a27,a19)),a20)),
% 5.04/5.17 inference(scs_inference,[],[431,429,358,185,197,240,152,163,162,174,172,171,170,115,175])).
% 5.04/5.17 cnf(478,plain,
% 5.04/5.17 (P8(f21(a20),f22(a20,a27,a19,a27))),
% 5.04/5.17 inference(scs_inference,[],[183,452,173])).
% 5.04/5.17 cnf(481,plain,
% 5.04/5.17 (~P7(a19,f16(a19,a27,a19,f22(a20,a19,a27,a19)))),
% 5.04/5.17 inference(scs_inference,[],[183,452,460,173,106])).
% 5.04/5.17 cnf(485,plain,
% 5.04/5.17 (P8(a27,f16(a19,a27,a19,f22(a20,a19,a27,a19)))),
% 5.04/5.17 inference(scs_inference,[],[183,365,452,460,458,173,106,114,102])).
% 5.04/5.17 cnf(489,plain,
% 5.04/5.17 (P9(f2(f22(a20,a27,a19,a27)),a20)),
% 5.04/5.17 inference(scs_inference,[],[183,365,452,460,458,185,173,106,114,102,97,175])).
% 5.04/5.17 cnf(508,plain,
% 5.04/5.17 (~P6(a27,f16(a19,a27,a19,f22(a20,a19,a27,a19)))),
% 5.04/5.17 inference(scs_inference,[],[464,458,105,106])).
% 5.04/5.17 cnf(510,plain,
% 5.04/5.17 (P9(f2(x5101),x5102)+~E(x5101,f28(x5102))),
% 5.04/5.17 inference(scs_inference,[],[185,464,458,105,106,108])).
% 5.04/5.17 cnf(512,plain,
% 5.04/5.17 (~E(f15(f2(x5121),x5121),x5121)),
% 5.04/5.17 inference(scs_inference,[],[185,464,458,394,105,106,108,195])).
% 5.04/5.17 cnf(515,plain,
% 5.04/5.17 (P8(a19,f22(a20,a19,a27,a19))),
% 5.04/5.17 inference(scs_inference,[],[181,185,464,450,458,460,394,105,106,108,195,100,173])).
% 5.04/5.17 cnf(519,plain,
% 5.04/5.17 (P12(f16(a19,a27,a19,f22(a20,a19,a27,a19)),f16(a19,a27,a19,f22(a20,a19,a27,a19)))),
% 5.04/5.17 inference(scs_inference,[],[181,185,464,450,280,458,460,456,292,394,105,106,108,195,100,173,65,154])).
% 5.04/5.17 cnf(523,plain,
% 5.04/5.17 (~P7(a19,x5231)+~E(x5231,f16(a19,a27,a19,f22(a20,a19,a27,a19)))),
% 5.04/5.17 inference(scs_inference,[],[181,185,481,464,454,450,280,458,460,456,292,394,105,106,108,195,100,173,65,154,177,66])).
% 5.04/5.17 cnf(532,plain,
% 5.04/5.17 (P9(f2(f28(x5321)),x5321)),
% 5.04/5.17 inference(equality_inference,[],[510])).
% 5.04/5.17 cnf(536,plain,
% 5.04/5.17 (P8(f13(f1(x5361)),f1(x5361))),
% 5.04/5.17 inference(scs_inference,[],[508,485,189,145,101])).
% 5.04/5.17 cnf(540,plain,
% 5.04/5.17 (P8(f21(x5401),x5402)+~E(x5402,f28(x5401))),
% 5.04/5.17 inference(scs_inference,[],[183,508,485,356,189,145,101,106,107])).
% 5.04/5.17 cnf(558,plain,
% 5.04/5.17 (P8(f21(x5581),f28(x5581))),
% 5.04/5.17 inference(equality_inference,[],[540])).
% 5.04/5.17 cnf(564,plain,
% 5.04/5.17 (P4(f22(a20,a27,a19,a27),a27,a19,a27)),
% 5.04/5.17 inference(scs_inference,[],[396,519,458,452,460,157,174])).
% 5.04/5.17 cnf(566,plain,
% 5.04/5.17 (P6(a27,f16(a27,a19,a27,f22(a20,a27,a19,a27)))),
% 5.04/5.17 inference(scs_inference,[],[396,519,458,452,460,157,174,170])).
% 5.04/5.17 cnf(568,plain,
% 5.04/5.17 (P7(a19,f16(a27,a19,a27,f22(a20,a27,a19,a27)))),
% 5.04/5.17 inference(scs_inference,[],[396,519,458,452,460,157,174,170,171])).
% 5.04/5.17 cnf(572,plain,
% 5.04/5.17 (~P6(a19,f16(a27,a19,a27,f22(a20,a27,a19,a27)))),
% 5.04/5.17 inference(scs_inference,[],[536,396,519,458,452,460,157,174,170,171,110,106])).
% 5.04/5.17 cnf(576,plain,
% 5.04/5.17 (P1(f1(x5761))),
% 5.04/5.17 inference(rename_variables,[],[90])).
% 5.04/5.17 cnf(578,plain,
% 5.04/5.17 (P9(a19,f24(f1(a20),a19,a19))),
% 5.04/5.17 inference(scs_inference,[],[187,536,396,519,458,454,452,90,576,460,157,174,170,171,110,106,159,151,149])).
% 5.04/5.17 cnf(613,plain,
% 5.04/5.17 (P12(f16(a27,a19,a27,f22(a20,a27,a19,a27)),f22(a20,a27,a19,a27))),
% 5.04/5.17 inference(scs_inference,[],[568,564,523,172])).
% 5.04/5.17 cnf(616,plain,
% 5.04/5.17 (P1(f1(x6161))),
% 5.04/5.17 inference(rename_variables,[],[90])).
% 5.04/5.17 cnf(620,plain,
% 5.04/5.17 (P10(a19,f22(a20,a19,a27,a19),f22(a20,a19,a27,a19))+P8(f12(f22(a20,a19,a27,a19),f22(a20,a19,a27,a19),a19),f22(a20,a19,a27,a19))),
% 5.04/5.17 inference(scs_inference,[],[178,187,515,568,566,564,429,90,523,172,149,106,153])).
% 5.04/5.17 cnf(624,plain,
% 5.04/5.17 (P8(a19,f16(a27,a19,a27,f22(a20,a27,a19,a27)))),
% 5.04/5.17 inference(scs_inference,[],[178,187,515,568,566,564,429,90,523,172,149,106,153,97,102])).
% 5.04/5.17 cnf(626,plain,
% 5.04/5.17 (P13(f24(f1(a20),a27,a19),a19,a27)),
% 5.04/5.17 inference(scs_inference,[],[178,187,515,568,566,564,429,90,616,523,172,149,106,153,97,102,151])).
% 5.04/5.17 cnf(629,plain,
% 5.04/5.17 (~P10(x6291,f1(a20),f16(a27,a19,a27,f22(a20,a27,a19,a27)))),
% 5.04/5.17 inference(scs_inference,[],[178,187,515,572,568,566,564,429,90,616,523,172,149,106,153,97,102,151,144])).
% 5.04/5.17 cnf(648,plain,
% 5.04/5.17 (P8(f12(f16(a27,a19,a27,f22(a20,a27,a19,a27)),f1(a20),a19),f1(a20))),
% 5.04/5.17 inference(scs_inference,[],[187,629,624,153])).
% 5.04/5.17 cnf(651,plain,
% 5.04/5.17 (P8(a19,f22(a20,a27,a19,a27))),
% 5.04/5.17 inference(scs_inference,[],[181,187,629,624,452,153,173])).
% 5.04/5.17 cnf(654,plain,
% 5.04/5.17 (P10(f21(x6541),f28(x6541),f28(x6541))+P8(f12(f28(x6541),f28(x6541),f21(x6541)),f28(x6541))),
% 5.04/5.17 inference(scs_inference,[],[181,187,629,624,558,572,452,460,153,173,71,152])).
% 5.04/5.17 cnf(660,plain,
% 5.04/5.17 (P12(f16(a27,a19,a27,f22(a20,a27,a19,a27)),f16(a27,a19,a27,f22(a20,a27,a19,a27)))),
% 5.04/5.17 inference(scs_inference,[],[181,187,613,629,489,624,558,566,572,452,460,153,173,71,152,100,105,154])).
% 5.04/5.17 cnf(662,plain,
% 5.04/5.17 (P10(f21(x6621),f28(x6621),f28(x6621))+~P6(f12(f28(x6621),f28(x6621),f21(x6621)),f28(x6621))),
% 5.04/5.17 inference(scs_inference,[],[181,187,613,629,489,624,558,566,572,452,460,153,173,71,152,100,105,154,164])).
% 5.04/5.17 cnf(669,plain,
% 5.04/5.17 (~P7(f2(x6691),f6(f2(x6691),x6691))),
% 5.04/5.17 inference(scs_inference,[],[181,183,187,613,629,489,626,624,558,566,572,367,91,452,460,153,173,71,152,100,105,154,164,163,135,106])).
% 5.04/5.17 cnf(673,plain,
% 5.04/5.17 (~E(x6731,f6(f2(x6731),x6731))),
% 5.04/5.17 inference(scs_inference,[],[669,624,572,145,404])).
% 5.04/5.17 cnf(678,plain,
% 5.04/5.17 (P8(a27,f16(a27,a19,a27,f22(a20,a27,a19,a27)))),
% 5.04/5.17 inference(scs_inference,[],[187,669,489,624,450,572,566,145,404,173,111,101])).
% 5.04/5.17 cnf(710,plain,
% 5.04/5.17 (P8(f2(x7101),x7102)+~E(x7102,f29(x7103,x7101))),
% 5.04/5.17 inference(scs_inference,[],[185,673,648,651,564,226,566,106,159,142,110,119,114])).
% 5.04/5.17 cnf(712,plain,
% 5.04/5.17 (P4(f16(a27,a19,a27,f22(a20,a27,a19,a27)),a27,a19,a27)),
% 5.04/5.17 inference(scs_inference,[],[185,673,660,648,651,564,568,226,566,106,159,142,110,119,114,157])).
% 5.04/5.17 cnf(724,plain,
% 5.04/5.17 (P8(f2(x7241),f29(x7242,x7241))),
% 5.04/5.17 inference(equality_inference,[],[710])).
% 5.04/5.17 cnf(728,plain,
% 5.04/5.17 (~P10(x7281,x7282,x7282)),
% 5.04/5.17 inference(scs_inference,[],[185,179,145])).
% 5.04/5.17 cnf(734,plain,
% 5.04/5.17 (~P6(f12(f28(x7341),f28(x7341),f21(x7341)),f28(x7341))),
% 5.04/5.17 inference(scs_inference,[],[185,242,226,179,145,70,662])).
% 5.04/5.17 cnf(735,plain,
% 5.04/5.17 (P8(f12(f28(x7351),f28(x7351),f21(x7351)),f28(x7351))),
% 5.04/5.17 inference(scs_inference,[],[185,242,226,179,145,70,662,654])).
% 5.04/5.17 cnf(738,plain,
% 5.04/5.17 (~E(x7381,f11(x7381,f2(x7381)))),
% 5.04/5.17 inference(rename_variables,[],[437])).
% 5.04/5.17 cnf(742,plain,
% 5.04/5.17 (~E(f11(x7421,f2(x7421)),x7421)),
% 5.04/5.17 inference(scs_inference,[],[185,437,738,660,242,568,394,226,566,179,145,70,662,654,157,97,2])).
% 5.04/5.17 cnf(758,plain,
% 5.04/5.17 (P8(f12(f22(a20,a19,a27,a19),f22(a20,a19,a27,a19),a19),f22(a20,a19,a27,a19))),
% 5.04/5.17 inference(scs_inference,[],[728,620])).
% 5.04/5.17 cnf(760,plain,
% 5.04/5.17 (~P10(x7601,x7602,x7602)),
% 5.04/5.17 inference(rename_variables,[],[728])).
% 5.04/5.17 cnf(763,plain,
% 5.04/5.17 (~P10(x7631,x7632,x7632)),
% 5.04/5.17 inference(rename_variables,[],[728])).
% 5.04/5.17 cnf(764,plain,
% 5.04/5.17 (~P10(x7641,f16(a19,a27,a19,f22(a20,a19,a27,a19)),f16(a27,a19,a27,f22(a20,a27,a19,a27)))),
% 5.04/5.17 inference(scs_inference,[],[185,193,728,760,678,485,508,153,87,145])).
% 5.04/5.17 cnf(767,plain,
% 5.04/5.17 (~P10(x7671,x7672,x7672)),
% 5.04/5.17 inference(rename_variables,[],[728])).
% 5.04/5.17 cnf(774,plain,
% 5.04/5.17 (~P10(x7741,x7742,x7742)),
% 5.04/5.17 inference(rename_variables,[],[728])).
% 5.04/5.17 cnf(776,plain,
% 5.04/5.17 (~P6(f12(x7761,x7761,f2(x7761)),x7761)),
% 5.04/5.17 inference(scs_inference,[],[185,193,742,728,760,763,767,774,724,678,485,519,508,458,394,460,153,87,145,86,157,100,152,164])).
% 5.04/5.17 cnf(779,plain,
% 5.04/5.17 (P8(f2(f28(x7791)),f1(x7791))),
% 5.04/5.17 inference(scs_inference,[],[185,193,742,728,760,763,767,774,724,678,532,485,519,508,458,394,460,153,87,145,86,157,100,152,164,105])).
% 5.04/5.17 cnf(781,plain,
% 5.04/5.17 (~P10(x7811,f16(a27,a19,a27,f22(a20,a27,a19,a27)),f16(a19,a27,a19,f22(a20,a19,a27,a19)))),
% 5.04/5.17 inference(scs_inference,[],[185,193,742,728,760,763,767,774,724,678,532,485,519,508,458,394,460,153,87,145,86,157,100,152,164,105,144])).
% 5.04/5.17 cnf(796,plain,
% 5.04/5.17 (P9(f12(f22(a20,a19,a27,a19),f22(a20,a19,a27,a19),a19),a20)),
% 5.04/5.17 inference(scs_inference,[],[758,450,175])).
% 5.04/5.17 cnf(798,plain,
% 5.04/5.17 (P8(f21(a20),f22(a20,a19,a27,a19))),
% 5.04/5.17 inference(scs_inference,[],[183,758,450,175,173])).
% 5.04/5.17 cnf(848,plain,
% 5.04/5.17 (P8(f12(f22(a20,a19,a27,a19),f22(a20,a19,a27,a19),f21(a20)),f22(a20,a19,a27,a19))),
% 5.04/5.17 inference(scs_inference,[],[798,728,153])).
% 5.04/5.17 cnf(859,plain,
% 5.04/5.17 (P9(f12(f22(a20,a19,a27,a19),f22(a20,a19,a27,a19),f21(a20)),a20)),
% 5.04/5.17 inference(scs_inference,[],[848,735,734,450,111,175])).
% 5.04/5.17 cnf(868,plain,
% 5.04/5.17 (P8(a19,x8681)+~E(x8681,f29(f1(a20),x8682))),
% 5.04/5.17 inference(scs_inference,[],[187,848,779,735,796,734,450,185,111,175,105,145,113,115])).
% 5.04/5.17 cnf(879,plain,
% 5.04/5.17 (~E(f7(x8791,f2(x8791)),x8791)),
% 5.04/5.17 inference(scs_inference,[],[187,578,848,779,781,735,776,512,673,796,734,316,515,450,94,185,111,175,105,145,113,115,124,136,135,86,71,2])).
% 5.04/5.17 cnf(880,plain,
% 5.04/5.17 (P8(a19,f29(f1(a20),x8801))),
% 5.04/5.17 inference(equality_inference,[],[868])).
% 5.04/5.17 cnf(889,plain,
% 5.04/5.17 (P8(f12(f22(a20,a27,a19,a27),f22(a20,a27,a19,a27),f21(a20)),f22(a20,a27,a19,a27))),
% 5.04/5.17 inference(scs_inference,[],[187,879,478,429,728,350,90,95,99,149,152])).
% 5.04/5.17 cnf(895,plain,
% 5.04/5.17 (P8(a19,x8951)+~E(x8951,f29(x8952,f1(a20)))),
% 5.04/5.17 inference(scs_inference,[],[187,879,764,478,564,429,728,350,90,95,99,149,152,87,177,114])).
% 5.04/5.17 cnf(915,plain,
% 5.04/5.17 (P8(a19,f29(x9151,f1(a20)))),
% 5.04/5.17 inference(equality_inference,[],[895])).
% 5.04/5.17 cnf(931,plain,
% 5.04/5.17 (P13(f24(f1(a20),a27,a27),a27,a27)),
% 5.04/5.17 inference(scs_inference,[],[201,889,915,712,346,624,564,572,429,452,90,460,173,143,159,110,145,176,108,151])).
% 5.04/5.17 cnf(971,plain,
% 5.04/5.17 (~P6(f12(f22(a20,a19,a27,a19),f22(a20,a19,a27,a19),f21(a20)),f22(a20,a19,a27,a19))),
% 5.04/5.17 inference(scs_inference,[],[931,798,728,133,164])).
% 5.04/5.17 cnf(976,plain,
% 5.04/5.17 (P8(f12(f22(a20,a19,a27,a19),f22(a20,a19,a27,a19),f21(a20)),f1(a20))),
% 5.04/5.17 inference(scs_inference,[],[859,880,931,798,624,572,728,133,164,144,105])).
% 5.04/5.17 cnf(1034,plain,
% 5.04/5.17 (~P10(x10341,f22(a20,a19,a27,a19),f1(a20))),
% 5.04/5.17 inference(scs_inference,[],[201,976,971,848,450,173,145])).
% 5.04/5.17 cnf(1523,plain,
% 5.04/5.17 (P13(a20,a27,a27)),
% 5.04/5.17 inference(scs_inference,[],[324,712,92,159,135])).
% 5.04/5.17 cnf(1554,plain,
% 5.04/5.17 (P8(a27,f22(a20,a19,a27,a19))),
% 5.04/5.17 inference(scs_inference,[],[324,450,173])).
% 5.04/5.17 cnf(1556,plain,
% 5.04/5.17 (P5(a20,a27,a27,a27)),
% 5.04/5.17 inference(scs_inference,[],[324,1523,450,173,163])).
% 5.04/5.17 cnf(1558,plain,
% 5.04/5.17 (~P10(x15581,x15582,f15(f2(x15582),x15582))),
% 5.04/5.17 inference(scs_inference,[],[324,1523,361,450,179,185,173,163,145])).
% 5.04/5.17 cnf(1592,plain,
% 5.04/5.17 ($false),
% 5.04/5.17 inference(scs_inference,[],[1558,1556,1554,1523,361,1034,240,429,185,174,171,170,100,102,163,153,152,175,106]),
% 5.04/5.17 ['proof']).
% 5.04/5.17 % SZS output end Proof
% 5.04/5.17 % Total time :4.500000s
%------------------------------------------------------------------------------