TSTP Solution File: SET790+4 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET790+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 : n008.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 14:31:03 EDT 2023
% Result : Theorem 0.19s 0.73s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET790+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
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 11:44:02 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.19/0.72 %-------------------------------------------
% 0.19/0.72 % File :CSE---1.6
% 0.19/0.72 % Problem :theBenchmark
% 0.19/0.72 % Transform :cnf
% 0.19/0.72 % Format :tptp:raw
% 0.19/0.72 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.72
% 0.19/0.72 % Result :Theorem 0.080000s
% 0.19/0.72 % Output :CNFRefutation 0.080000s
% 0.19/0.72 %-------------------------------------------
% 0.19/0.73 %------------------------------------------------------------------------------
% 0.19/0.73 % File : SET790+4 : TPTP v8.1.2. Released v3.2.0.
% 0.19/0.73 % Domain : Set Theory (Order relations)
% 0.19/0.73 % Problem : The least element, if it existes, is unique
% 0.19/0.73 % Version : [Pas05] axioms.
% 0.19/0.73 % English :
% 0.19/0.73
% 0.19/0.73 % Refs : [Pas05] Pastre (2005), Email to G. Sutcliffe
% 0.19/0.73 % Source : [Pas05]
% 0.19/0.73 % Names :
% 0.19/0.73
% 0.19/0.73 % Status : Theorem
% 0.19/0.73 % Rating : 0.03 v8.1.0, 0.00 v6.3.0, 0.04 v6.1.0, 0.07 v6.0.0, 0.04 v5.5.0, 0.00 v5.3.0, 0.07 v5.2.0, 0.05 v5.0.0, 0.00 v4.1.0, 0.04 v3.7.0, 0.14 v3.5.0, 0.11 v3.4.0, 0.08 v3.3.0, 0.11 v3.2.0
% 0.19/0.73 % Syntax : Number of formulae : 11 ( 0 unt; 0 def)
% 0.19/0.73 % Number of atoms : 60 ( 4 equ)
% 0.19/0.73 % Maximal formula atoms : 14 ( 5 avg)
% 0.19/0.73 % Number of connectives : 49 ( 0 ~; 1 |; 22 &)
% 0.19/0.73 % ( 10 <=>; 16 =>; 0 <=; 0 <~>)
% 0.19/0.73 % Maximal formula depth : 12 ( 9 avg)
% 0.19/0.73 % Maximal term depth : 1 ( 1 avg)
% 0.19/0.73 % Number of predicates : 13 ( 12 usr; 0 prp; 2-4 aty)
% 0.19/0.73 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.19/0.73 % Number of variables : 50 ( 50 !; 0 ?)
% 0.19/0.73 % SPC : FOF_THM_RFO_SEQ
% 0.19/0.73
% 0.19/0.73 % Comments :
% 0.19/0.73 %------------------------------------------------------------------------------
% 0.19/0.73 %----Include order relation axioms
% 0.19/0.73 include('Axioms/SET006+3.ax').
% 0.19/0.73 %------------------------------------------------------------------------------
% 0.19/0.73 fof(thIV2,conjecture,
% 0.19/0.73 ! [R,E,M] :
% 0.19/0.73 ( ( order(R,E)
% 0.19/0.73 & least(M,R,E) )
% 0.19/0.73 => ! [X] :
% 0.19/0.73 ( least(X,R,E)
% 0.19/0.73 => M = X ) ) ).
% 0.19/0.73
% 0.19/0.73 %------------------------------------------------------------------------------
% 0.19/0.73 %-------------------------------------------
% 0.19/0.73 % Proof found
% 0.19/0.73 % SZS status Theorem for theBenchmark
% 0.19/0.73 % SZS output start Proof
% 0.19/0.73 %ClaNum:193(EqnAxiom:82)
% 0.19/0.73 %VarNum:1268(SingletonVarNum:278)
% 0.19/0.73 %MaxLitNum:7
% 0.19/0.73 %MaxfuncDepth:1
% 0.19/0.73 %SharedTerms:8
% 0.19/0.73 %goalClause: 83 84 85 86
% 0.19/0.73 %singleGoalClaCount:4
% 0.19/0.73 [83]P1(a1,a3)
% 0.19/0.73 [84]P2(a4,a1,a3)
% 0.19/0.73 [85]P2(a5,a1,a3)
% 0.19/0.73 [86]~E(a5,a4)
% 0.19/0.73 [87]~P12(x871,x872)+P1(x871,x872)
% 0.19/0.73 [88]~P3(x881,x882)+P1(x881,x882)
% 0.19/0.73 [89]~P1(x891,x892)+P3(x891,x892)
% 0.19/0.73 [93]P7(x931,x932)+~P5(x931,x933,x932)
% 0.19/0.73 [94]P7(x941,x942)+~P2(x941,x943,x942)
% 0.19/0.73 [95]P7(x951,x952)+~P8(x951,x953,x952)
% 0.19/0.73 [96]P7(x961,x962)+~P11(x961,x963,x962)
% 0.19/0.73 [112]P13(x1121,x1122,x1123)+P7(f15(x1122,x1123,x1121),x1123)
% 0.19/0.73 [113]P9(x1131,x1132,x1133)+P7(f16(x1132,x1133,x1131),x1133)
% 0.19/0.73 [154]P9(x1541,x1542,x1543)+~P4(x1542,x1541,f16(x1542,x1543,x1541))
% 0.19/0.73 [155]P13(x1551,x1552,x1553)+~P4(x1552,f15(x1552,x1553,x1551),x1551)
% 0.19/0.73 [180]P7(x1801,x1802)+~P10(x1801,x1802,x1803,x1804)
% 0.19/0.73 [181]P7(x1811,x1812)+~P6(x1811,x1812,x1813,x1814)
% 0.19/0.73 [182]P13(x1821,x1822,x1823)+~P10(x1821,x1823,x1822,x1824)
% 0.19/0.73 [183]P9(x1831,x1832,x1833)+~P6(x1831,x1833,x1832,x1834)
% 0.19/0.73 [90]~P1(x901,x902)+P12(x901,x902)+P7(f6(x901,x902),x902)
% 0.19/0.73 [91]~P1(x911,x912)+P12(x911,x912)+P7(f12(x911,x912),x912)
% 0.19/0.73 [131]~P1(x1311,x1312)+P12(x1311,x1312)+~P4(x1311,f6(x1311,x1312),f12(x1311,x1312))
% 0.19/0.73 [132]~P1(x1321,x1322)+P12(x1321,x1322)+~P4(x1321,f12(x1321,x1322),f6(x1321,x1322))
% 0.19/0.73 [92]~P3(x921,x923)+P4(x921,x922,x922)+~P7(x922,x923)
% 0.19/0.73 [110]~P7(x1101,x1103)+P8(x1101,x1102,x1103)+~E(f14(x1102,x1103,x1101),x1101)
% 0.19/0.73 [111]~P7(x1111,x1113)+P11(x1111,x1112,x1113)+~E(f19(x1112,x1113,x1111),x1111)
% 0.19/0.73 [117]~P7(x1171,x1173)+P5(x1171,x1172,x1173)+P7(f17(x1172,x1173,x1171),x1173)
% 0.19/0.73 [118]~P7(x1181,x1183)+P2(x1181,x1182,x1183)+P7(f18(x1182,x1183,x1181),x1183)
% 0.19/0.73 [119]~P7(x1191,x1193)+P8(x1191,x1192,x1193)+P7(f14(x1192,x1193,x1191),x1193)
% 0.19/0.73 [120]~P7(x1201,x1203)+P11(x1201,x1202,x1203)+P7(f19(x1202,x1203,x1201),x1203)
% 0.19/0.73 [135]~P7(x1351,x1353)+P8(x1351,x1352,x1353)+P4(x1352,x1351,f14(x1352,x1353,x1351))
% 0.19/0.73 [136]~P7(x1361,x1363)+P11(x1361,x1362,x1363)+P4(x1362,f19(x1362,x1363,x1361),x1361)
% 0.19/0.73 [169]~P7(x1691,x1693)+P2(x1691,x1692,x1693)+~P4(x1692,x1691,f18(x1692,x1693,x1691))
% 0.19/0.73 [170]~P7(x1701,x1703)+P5(x1701,x1702,x1703)+~P4(x1702,f17(x1702,x1703,x1701),x1701)
% 0.19/0.73 [106]~P2(x1062,x1061,x1064)+P4(x1061,x1062,x1063)+~P7(x1063,x1064)
% 0.19/0.73 [107]~P5(x1073,x1071,x1074)+P4(x1071,x1072,x1073)+~P7(x1072,x1074)
% 0.19/0.73 [108]~P13(x1083,x1081,x1084)+P4(x1081,x1082,x1083)+~P7(x1082,x1084)
% 0.19/0.73 [109]~P9(x1092,x1091,x1094)+P4(x1091,x1092,x1093)+~P7(x1093,x1094)
% 0.19/0.73 [97]P3(x971,x972)+P7(f7(x972,x971),x972)+P7(f8(x972,x971),x972)+P7(f9(x972,x971),x972)
% 0.19/0.73 [98]P3(x981,x982)+P7(f7(x982,x981),x982)+P7(f8(x982,x981),x982)+P7(f11(x982,x981),x982)
% 0.19/0.73 [99]P3(x991,x992)+P7(f7(x992,x991),x992)+P7(f8(x992,x991),x992)+P7(f13(x992,x991),x992)
% 0.19/0.73 [100]P3(x1001,x1002)+P7(f7(x1002,x1001),x1002)+P7(f10(x1002,x1001),x1002)+P7(f9(x1002,x1001),x1002)
% 0.19/0.73 [101]P3(x1011,x1012)+P7(f7(x1012,x1011),x1012)+P7(f10(x1012,x1011),x1012)+P7(f11(x1012,x1011),x1012)
% 0.19/0.73 [102]P3(x1021,x1022)+P7(f7(x1022,x1021),x1022)+P7(f10(x1022,x1021),x1022)+P7(f13(x1022,x1021),x1022)
% 0.19/0.73 [103]P3(x1031,x1032)+P7(f7(x1032,x1031),x1032)+P7(f9(x1032,x1031),x1032)+~E(f10(x1032,x1031),f8(x1032,x1031))
% 0.19/0.73 [104]P3(x1041,x1042)+P7(f7(x1042,x1041),x1042)+P7(f11(x1042,x1041),x1042)+~E(f10(x1042,x1041),f8(x1042,x1041))
% 0.19/0.73 [105]P3(x1051,x1052)+P7(f7(x1052,x1051),x1052)+P7(f13(x1052,x1051),x1052)+~E(f10(x1052,x1051),f8(x1052,x1051))
% 0.19/0.73 [121]P3(x1211,x1212)+P4(x1211,f8(x1212,x1211),f10(x1212,x1211))+P7(f7(x1212,x1211),x1212)+P7(f9(x1212,x1211),x1212)
% 0.19/0.73 [122]P3(x1221,x1222)+P4(x1221,f10(x1222,x1221),f8(x1222,x1221))+P7(f7(x1222,x1221),x1222)+P7(f9(x1222,x1221),x1222)
% 0.19/0.73 [123]P3(x1231,x1232)+P4(x1231,f8(x1232,x1231),f10(x1232,x1231))+P7(f7(x1232,x1231),x1232)+P7(f11(x1232,x1231),x1232)
% 0.19/0.73 [124]P3(x1241,x1242)+P4(x1241,f10(x1242,x1241),f8(x1242,x1241))+P7(f7(x1242,x1241),x1242)+P7(f11(x1242,x1241),x1242)
% 0.19/0.73 [125]P3(x1251,x1252)+P4(x1251,f8(x1252,x1251),f10(x1252,x1251))+P7(f7(x1252,x1251),x1252)+P7(f13(x1252,x1251),x1252)
% 0.19/0.73 [126]P3(x1261,x1262)+P4(x1261,f10(x1262,x1261),f8(x1262,x1261))+P7(f7(x1262,x1261),x1262)+P7(f13(x1262,x1261),x1262)
% 0.19/0.73 [127]P3(x1271,x1272)+P4(x1271,f9(x1272,x1271),f11(x1272,x1271))+P7(f7(x1272,x1271),x1272)+P7(f8(x1272,x1271),x1272)
% 0.19/0.73 [128]P3(x1281,x1282)+P4(x1281,f11(x1282,x1281),f13(x1282,x1281))+P7(f7(x1282,x1281),x1282)+P7(f8(x1282,x1281),x1282)
% 0.19/0.73 [129]P3(x1291,x1292)+P4(x1291,f9(x1292,x1291),f11(x1292,x1291))+P7(f7(x1292,x1291),x1292)+P7(f10(x1292,x1291),x1292)
% 0.19/0.73 [130]P3(x1301,x1302)+P4(x1301,f11(x1302,x1301),f13(x1302,x1301))+P7(f7(x1302,x1301),x1302)+P7(f10(x1302,x1301),x1302)
% 0.19/0.73 [133]P3(x1331,x1332)+P4(x1331,f9(x1332,x1331),f11(x1332,x1331))+P7(f7(x1332,x1331),x1332)+~E(f10(x1332,x1331),f8(x1332,x1331))
% 0.19/0.73 [134]P3(x1341,x1342)+P4(x1341,f11(x1342,x1341),f13(x1342,x1341))+P7(f7(x1342,x1341),x1342)+~E(f10(x1342,x1341),f8(x1342,x1341))
% 0.19/0.73 [138]P3(x1381,x1382)+~P4(x1381,f7(x1382,x1381),f7(x1382,x1381))+P7(f8(x1382,x1381),x1382)+P7(f9(x1382,x1381),x1382)
% 0.19/0.73 [139]P3(x1391,x1392)+~P4(x1391,f7(x1392,x1391),f7(x1392,x1391))+P7(f8(x1392,x1391),x1392)+P7(f11(x1392,x1391),x1392)
% 0.19/0.73 [140]P3(x1401,x1402)+~P4(x1401,f7(x1402,x1401),f7(x1402,x1401))+P7(f8(x1402,x1401),x1402)+P7(f13(x1402,x1401),x1402)
% 0.19/0.73 [141]P3(x1411,x1412)+~P4(x1411,f7(x1412,x1411),f7(x1412,x1411))+P7(f10(x1412,x1411),x1412)+P7(f9(x1412,x1411),x1412)
% 0.19/0.73 [142]P3(x1421,x1422)+~P4(x1421,f7(x1422,x1421),f7(x1422,x1421))+P7(f10(x1422,x1421),x1422)+P7(f11(x1422,x1421),x1422)
% 0.19/0.73 [143]P3(x1431,x1432)+~P4(x1431,f7(x1432,x1431),f7(x1432,x1431))+P7(f10(x1432,x1431),x1432)+P7(f13(x1432,x1431),x1432)
% 0.19/0.73 [144]P3(x1441,x1442)+~P4(x1441,f9(x1442,x1441),f13(x1442,x1441))+P7(f7(x1442,x1441),x1442)+P7(f8(x1442,x1441),x1442)
% 0.19/0.73 [145]P3(x1451,x1452)+~P4(x1451,f9(x1452,x1451),f13(x1452,x1451))+P7(f7(x1452,x1451),x1452)+P7(f10(x1452,x1451),x1452)
% 0.19/0.73 [146]P3(x1461,x1462)+~P4(x1461,f7(x1462,x1461),f7(x1462,x1461))+P7(f9(x1462,x1461),x1462)+~E(f10(x1462,x1461),f8(x1462,x1461))
% 0.19/0.73 [147]P3(x1471,x1472)+~P4(x1471,f7(x1472,x1471),f7(x1472,x1471))+P7(f11(x1472,x1471),x1472)+~E(f10(x1472,x1471),f8(x1472,x1471))
% 0.19/0.73 [148]P3(x1481,x1482)+~P4(x1481,f7(x1482,x1481),f7(x1482,x1481))+P7(f13(x1482,x1481),x1482)+~E(f10(x1482,x1481),f8(x1482,x1481))
% 0.19/0.73 [149]P3(x1491,x1492)+~P4(x1491,f9(x1492,x1491),f13(x1492,x1491))+P7(f7(x1492,x1491),x1492)+~E(f10(x1492,x1491),f8(x1492,x1491))
% 0.19/0.73 [150]P3(x1501,x1502)+P4(x1501,f8(x1502,x1501),f10(x1502,x1501))+P4(x1501,f9(x1502,x1501),f11(x1502,x1501))+P7(f7(x1502,x1501),x1502)
% 0.19/0.73 [151]P3(x1511,x1512)+P4(x1511,f8(x1512,x1511),f10(x1512,x1511))+P4(x1511,f11(x1512,x1511),f13(x1512,x1511))+P7(f7(x1512,x1511),x1512)
% 0.19/0.73 [152]P3(x1521,x1522)+P4(x1521,f10(x1522,x1521),f8(x1522,x1521))+P4(x1521,f9(x1522,x1521),f11(x1522,x1521))+P7(f7(x1522,x1521),x1522)
% 0.19/0.73 [153]P3(x1531,x1532)+P4(x1531,f10(x1532,x1531),f8(x1532,x1531))+P4(x1531,f11(x1532,x1531),f13(x1532,x1531))+P7(f7(x1532,x1531),x1532)
% 0.19/0.73 [157]P3(x1571,x1572)+P4(x1571,f8(x1572,x1571),f10(x1572,x1571))+~P4(x1571,f7(x1572,x1571),f7(x1572,x1571))+P7(f9(x1572,x1571),x1572)
% 0.19/0.73 [158]P3(x1581,x1582)+P4(x1581,f10(x1582,x1581),f8(x1582,x1581))+~P4(x1581,f7(x1582,x1581),f7(x1582,x1581))+P7(f9(x1582,x1581),x1582)
% 0.19/0.73 [159]P3(x1591,x1592)+P4(x1591,f8(x1592,x1591),f10(x1592,x1591))+~P4(x1591,f7(x1592,x1591),f7(x1592,x1591))+P7(f11(x1592,x1591),x1592)
% 0.19/0.74 [160]P3(x1601,x1602)+P4(x1601,f10(x1602,x1601),f8(x1602,x1601))+~P4(x1601,f7(x1602,x1601),f7(x1602,x1601))+P7(f11(x1602,x1601),x1602)
% 0.19/0.74 [161]P3(x1611,x1612)+P4(x1611,f8(x1612,x1611),f10(x1612,x1611))+~P4(x1611,f7(x1612,x1611),f7(x1612,x1611))+P7(f13(x1612,x1611),x1612)
% 0.19/0.74 [162]P3(x1621,x1622)+P4(x1621,f10(x1622,x1621),f8(x1622,x1621))+~P4(x1621,f7(x1622,x1621),f7(x1622,x1621))+P7(f13(x1622,x1621),x1622)
% 0.19/0.74 [163]P3(x1631,x1632)+P4(x1631,f8(x1632,x1631),f10(x1632,x1631))+~P4(x1631,f9(x1632,x1631),f13(x1632,x1631))+P7(f7(x1632,x1631),x1632)
% 0.19/0.74 [164]P3(x1641,x1642)+P4(x1641,f10(x1642,x1641),f8(x1642,x1641))+~P4(x1641,f9(x1642,x1641),f13(x1642,x1641))+P7(f7(x1642,x1641),x1642)
% 0.19/0.74 [165]P3(x1651,x1652)+P4(x1651,f9(x1652,x1651),f11(x1652,x1651))+~P4(x1651,f7(x1652,x1651),f7(x1652,x1651))+P7(f8(x1652,x1651),x1652)
% 0.19/0.74 [166]P3(x1661,x1662)+P4(x1661,f11(x1662,x1661),f13(x1662,x1661))+~P4(x1661,f7(x1662,x1661),f7(x1662,x1661))+P7(f8(x1662,x1661),x1662)
% 0.19/0.74 [167]P3(x1671,x1672)+P4(x1671,f9(x1672,x1671),f11(x1672,x1671))+~P4(x1671,f7(x1672,x1671),f7(x1672,x1671))+P7(f10(x1672,x1671),x1672)
% 0.19/0.74 [168]P3(x1681,x1682)+P4(x1681,f11(x1682,x1681),f13(x1682,x1681))+~P4(x1681,f7(x1682,x1681),f7(x1682,x1681))+P7(f10(x1682,x1681),x1682)
% 0.19/0.74 [171]P3(x1711,x1712)+P4(x1711,f9(x1712,x1711),f11(x1712,x1711))+~P4(x1711,f7(x1712,x1711),f7(x1712,x1711))+~E(f10(x1712,x1711),f8(x1712,x1711))
% 0.19/0.74 [172]P3(x1721,x1722)+P4(x1721,f11(x1722,x1721),f13(x1722,x1721))+~P4(x1721,f7(x1722,x1721),f7(x1722,x1721))+~E(f10(x1722,x1721),f8(x1722,x1721))
% 0.19/0.74 [173]P3(x1731,x1732)+~P4(x1731,f7(x1732,x1731),f7(x1732,x1731))+~P4(x1731,f9(x1732,x1731),f13(x1732,x1731))+P7(f8(x1732,x1731),x1732)
% 0.19/0.74 [174]P3(x1741,x1742)+~P4(x1741,f7(x1742,x1741),f7(x1742,x1741))+~P4(x1741,f9(x1742,x1741),f13(x1742,x1741))+P7(f10(x1742,x1741),x1742)
% 0.19/0.74 [175]P3(x1751,x1752)+~P4(x1751,f7(x1752,x1751),f7(x1752,x1751))+~P4(x1751,f9(x1752,x1751),f13(x1752,x1751))+~E(f10(x1752,x1751),f8(x1752,x1751))
% 0.19/0.74 [176]P3(x1761,x1762)+P4(x1761,f8(x1762,x1761),f10(x1762,x1761))+P4(x1761,f9(x1762,x1761),f11(x1762,x1761))+~P4(x1761,f7(x1762,x1761),f7(x1762,x1761))
% 0.19/0.74 [177]P3(x1771,x1772)+P4(x1771,f8(x1772,x1771),f10(x1772,x1771))+P4(x1771,f11(x1772,x1771),f13(x1772,x1771))+~P4(x1771,f7(x1772,x1771),f7(x1772,x1771))
% 0.19/0.74 [178]P3(x1781,x1782)+P4(x1781,f10(x1782,x1781),f8(x1782,x1781))+P4(x1781,f9(x1782,x1781),f11(x1782,x1781))+~P4(x1781,f7(x1782,x1781),f7(x1782,x1781))
% 0.19/0.74 [179]P3(x1791,x1792)+P4(x1791,f10(x1792,x1791),f8(x1792,x1791))+P4(x1791,f11(x1792,x1791),f13(x1792,x1791))+~P4(x1791,f7(x1792,x1791),f7(x1792,x1791))
% 0.19/0.74 [184]P3(x1841,x1842)+P4(x1841,f8(x1842,x1841),f10(x1842,x1841))+~P4(x1841,f7(x1842,x1841),f7(x1842,x1841))+~P4(x1841,f9(x1842,x1841),f13(x1842,x1841))
% 0.19/0.74 [185]P3(x1851,x1852)+P4(x1851,f10(x1852,x1851),f8(x1852,x1851))+~P4(x1851,f7(x1852,x1851),f7(x1852,x1851))+~P4(x1851,f9(x1852,x1851),f13(x1852,x1851))
% 0.19/0.74 [115]~P8(x1152,x1154,x1153)+E(x1151,x1152)+~P4(x1154,x1152,x1151)+~P7(x1151,x1153)
% 0.19/0.74 [116]~P11(x1162,x1164,x1163)+E(x1161,x1162)+~P4(x1164,x1161,x1162)+~P7(x1161,x1163)
% 0.19/0.74 [188]~P7(x1881,x1882)+~P13(x1881,x1883,x1882)+P10(x1881,x1882,x1883,x1884)+P7(f20(x1881,x1882,x1883,x1884),x1884)
% 0.19/0.74 [189]~P7(x1891,x1892)+~P9(x1891,x1893,x1892)+P6(x1891,x1892,x1893,x1894)+P7(f2(x1891,x1892,x1893,x1894),x1894)
% 0.19/0.74 [190]~P7(x1901,x1902)+~P13(x1901,x1903,x1902)+P10(x1901,x1902,x1903,x1904)+P13(f20(x1901,x1902,x1903,x1904),x1903,x1902)
% 0.19/0.74 [191]~P7(x1911,x1912)+~P9(x1911,x1913,x1912)+P6(x1911,x1912,x1913,x1914)+P9(f2(x1911,x1912,x1913,x1914),x1913,x1912)
% 0.19/0.74 [192]~P7(x1921,x1922)+~P13(x1921,x1923,x1922)+P10(x1921,x1922,x1923,x1924)+~P4(x1923,x1921,f20(x1921,x1922,x1923,x1924))
% 0.19/0.74 [193]~P7(x1931,x1932)+~P9(x1931,x1933,x1932)+P6(x1931,x1932,x1933,x1934)+~P4(x1933,f2(x1931,x1932,x1933,x1934),x1931)
% 0.19/0.74 [186]~P10(x1862,x1865,x1861,x1864)+P4(x1861,x1862,x1863)+~P13(x1863,x1861,x1865)+~P7(x1863,x1864)
% 0.19/0.74 [187]~P6(x1873,x1875,x1871,x1874)+P4(x1871,x1872,x1873)+~P9(x1872,x1871,x1875)+~P7(x1872,x1874)
% 0.19/0.74 [114]P4(x1141,x1143,x1142)+~P7(x1143,x1144)+~P12(x1141,x1144)+P4(x1141,x1142,x1143)+~P7(x1142,x1144)
% 0.19/0.74 [137]~P7(x1371,x1373)+~P4(x1374,x1372,x1371)+~P4(x1374,x1371,x1372)+E(x1371,x1372)+~P7(x1372,x1373)+~P3(x1374,x1373)
% 0.19/0.74 [156]~P7(x1562,x1564)+~P3(x1561,x1564)+~P4(x1561,x1565,x1563)+~P4(x1561,x1562,x1565)+P4(x1561,x1562,x1563)+~P7(x1563,x1564)+~P7(x1565,x1564)
% 0.19/0.74 %EqnAxiom
% 0.19/0.74 [1]E(x11,x11)
% 0.19/0.74 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.74 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.74 [4]~E(x41,x42)+E(f6(x41,x43),f6(x42,x43))
% 0.19/0.74 [5]~E(x51,x52)+E(f6(x53,x51),f6(x53,x52))
% 0.19/0.74 [6]~E(x61,x62)+E(f12(x61,x63),f12(x62,x63))
% 0.19/0.74 [7]~E(x71,x72)+E(f12(x73,x71),f12(x73,x72))
% 0.19/0.74 [8]~E(x81,x82)+E(f7(x81,x83),f7(x82,x83))
% 0.19/0.74 [9]~E(x91,x92)+E(f7(x93,x91),f7(x93,x92))
% 0.19/0.74 [10]~E(x101,x102)+E(f8(x101,x103),f8(x102,x103))
% 0.19/0.74 [11]~E(x111,x112)+E(f8(x113,x111),f8(x113,x112))
% 0.19/0.74 [12]~E(x121,x122)+E(f9(x121,x123),f9(x122,x123))
% 0.19/0.74 [13]~E(x131,x132)+E(f9(x133,x131),f9(x133,x132))
% 0.19/0.74 [14]~E(x141,x142)+E(f2(x141,x143,x144,x145),f2(x142,x143,x144,x145))
% 0.19/0.74 [15]~E(x151,x152)+E(f2(x153,x151,x154,x155),f2(x153,x152,x154,x155))
% 0.19/0.74 [16]~E(x161,x162)+E(f2(x163,x164,x161,x165),f2(x163,x164,x162,x165))
% 0.19/0.74 [17]~E(x171,x172)+E(f2(x173,x174,x175,x171),f2(x173,x174,x175,x172))
% 0.19/0.74 [18]~E(x181,x182)+E(f11(x181,x183),f11(x182,x183))
% 0.19/0.74 [19]~E(x191,x192)+E(f11(x193,x191),f11(x193,x192))
% 0.19/0.74 [20]~E(x201,x202)+E(f18(x201,x203,x204),f18(x202,x203,x204))
% 0.19/0.74 [21]~E(x211,x212)+E(f18(x213,x211,x214),f18(x213,x212,x214))
% 0.19/0.74 [22]~E(x221,x222)+E(f18(x223,x224,x221),f18(x223,x224,x222))
% 0.19/0.74 [23]~E(x231,x232)+E(f20(x231,x233,x234,x235),f20(x232,x233,x234,x235))
% 0.19/0.74 [24]~E(x241,x242)+E(f20(x243,x241,x244,x245),f20(x243,x242,x244,x245))
% 0.19/0.74 [25]~E(x251,x252)+E(f20(x253,x254,x251,x255),f20(x253,x254,x252,x255))
% 0.19/0.74 [26]~E(x261,x262)+E(f20(x263,x264,x265,x261),f20(x263,x264,x265,x262))
% 0.19/0.74 [27]~E(x271,x272)+E(f10(x271,x273),f10(x272,x273))
% 0.19/0.74 [28]~E(x281,x282)+E(f10(x283,x281),f10(x283,x282))
% 0.19/0.74 [29]~E(x291,x292)+E(f13(x291,x293),f13(x292,x293))
% 0.19/0.74 [30]~E(x301,x302)+E(f13(x303,x301),f13(x303,x302))
% 0.19/0.74 [31]~E(x311,x312)+E(f15(x311,x313,x314),f15(x312,x313,x314))
% 0.19/0.74 [32]~E(x321,x322)+E(f15(x323,x321,x324),f15(x323,x322,x324))
% 0.19/0.74 [33]~E(x331,x332)+E(f15(x333,x334,x331),f15(x333,x334,x332))
% 0.19/0.74 [34]~E(x341,x342)+E(f19(x341,x343,x344),f19(x342,x343,x344))
% 0.19/0.74 [35]~E(x351,x352)+E(f19(x353,x351,x354),f19(x353,x352,x354))
% 0.19/0.74 [36]~E(x361,x362)+E(f19(x363,x364,x361),f19(x363,x364,x362))
% 0.19/0.74 [37]~E(x371,x372)+E(f16(x371,x373,x374),f16(x372,x373,x374))
% 0.19/0.74 [38]~E(x381,x382)+E(f16(x383,x381,x384),f16(x383,x382,x384))
% 0.19/0.74 [39]~E(x391,x392)+E(f16(x393,x394,x391),f16(x393,x394,x392))
% 0.19/0.74 [40]~E(x401,x402)+E(f14(x401,x403,x404),f14(x402,x403,x404))
% 0.19/0.74 [41]~E(x411,x412)+E(f14(x413,x411,x414),f14(x413,x412,x414))
% 0.19/0.74 [42]~E(x421,x422)+E(f14(x423,x424,x421),f14(x423,x424,x422))
% 0.19/0.74 [43]~E(x431,x432)+E(f17(x431,x433,x434),f17(x432,x433,x434))
% 0.19/0.74 [44]~E(x441,x442)+E(f17(x443,x441,x444),f17(x443,x442,x444))
% 0.19/0.74 [45]~E(x451,x452)+E(f17(x453,x454,x451),f17(x453,x454,x452))
% 0.19/0.74 [46]P1(x462,x463)+~E(x461,x462)+~P1(x461,x463)
% 0.19/0.74 [47]P1(x473,x472)+~E(x471,x472)+~P1(x473,x471)
% 0.19/0.74 [48]P2(x482,x483,x484)+~E(x481,x482)+~P2(x481,x483,x484)
% 0.19/0.74 [49]P2(x493,x492,x494)+~E(x491,x492)+~P2(x493,x491,x494)
% 0.19/0.74 [50]P2(x503,x504,x502)+~E(x501,x502)+~P2(x503,x504,x501)
% 0.19/0.74 [51]P10(x512,x513,x514,x515)+~E(x511,x512)+~P10(x511,x513,x514,x515)
% 0.19/0.74 [52]P10(x523,x522,x524,x525)+~E(x521,x522)+~P10(x523,x521,x524,x525)
% 0.19/0.74 [53]P10(x533,x534,x532,x535)+~E(x531,x532)+~P10(x533,x534,x531,x535)
% 0.19/0.74 [54]P10(x543,x544,x545,x542)+~E(x541,x542)+~P10(x543,x544,x545,x541)
% 0.19/0.74 [55]P4(x552,x553,x554)+~E(x551,x552)+~P4(x551,x553,x554)
% 0.19/0.74 [56]P4(x563,x562,x564)+~E(x561,x562)+~P4(x563,x561,x564)
% 0.19/0.74 [57]P4(x573,x574,x572)+~E(x571,x572)+~P4(x573,x574,x571)
% 0.19/0.74 [58]P12(x582,x583)+~E(x581,x582)+~P12(x581,x583)
% 0.19/0.74 [59]P12(x593,x592)+~E(x591,x592)+~P12(x593,x591)
% 0.19/0.74 [60]P9(x602,x603,x604)+~E(x601,x602)+~P9(x601,x603,x604)
% 0.19/0.74 [61]P9(x613,x612,x614)+~E(x611,x612)+~P9(x613,x611,x614)
% 0.19/0.74 [62]P9(x623,x624,x622)+~E(x621,x622)+~P9(x623,x624,x621)
% 0.19/0.74 [63]P3(x632,x633)+~E(x631,x632)+~P3(x631,x633)
% 0.19/0.74 [64]P3(x643,x642)+~E(x641,x642)+~P3(x643,x641)
% 0.19/0.74 [65]P7(x652,x653)+~E(x651,x652)+~P7(x651,x653)
% 0.19/0.74 [66]P7(x663,x662)+~E(x661,x662)+~P7(x663,x661)
% 0.19/0.74 [67]P11(x672,x673,x674)+~E(x671,x672)+~P11(x671,x673,x674)
% 0.19/0.74 [68]P11(x683,x682,x684)+~E(x681,x682)+~P11(x683,x681,x684)
% 0.19/0.74 [69]P11(x693,x694,x692)+~E(x691,x692)+~P11(x693,x694,x691)
% 0.19/0.74 [70]P8(x702,x703,x704)+~E(x701,x702)+~P8(x701,x703,x704)
% 0.19/0.74 [71]P8(x713,x712,x714)+~E(x711,x712)+~P8(x713,x711,x714)
% 0.19/0.74 [72]P8(x723,x724,x722)+~E(x721,x722)+~P8(x723,x724,x721)
% 0.19/0.74 [73]P13(x732,x733,x734)+~E(x731,x732)+~P13(x731,x733,x734)
% 0.19/0.74 [74]P13(x743,x742,x744)+~E(x741,x742)+~P13(x743,x741,x744)
% 0.19/0.74 [75]P13(x753,x754,x752)+~E(x751,x752)+~P13(x753,x754,x751)
% 0.19/0.74 [76]P6(x762,x763,x764,x765)+~E(x761,x762)+~P6(x761,x763,x764,x765)
% 0.19/0.74 [77]P6(x773,x772,x774,x775)+~E(x771,x772)+~P6(x773,x771,x774,x775)
% 0.19/0.74 [78]P6(x783,x784,x782,x785)+~E(x781,x782)+~P6(x783,x784,x781,x785)
% 0.19/0.74 [79]P6(x793,x794,x795,x792)+~E(x791,x792)+~P6(x793,x794,x795,x791)
% 0.19/0.74 [80]P5(x802,x803,x804)+~E(x801,x802)+~P5(x801,x803,x804)
% 0.19/0.74 [81]P5(x813,x812,x814)+~E(x811,x812)+~P5(x813,x811,x814)
% 0.19/0.74 [82]P5(x823,x824,x822)+~E(x821,x822)+~P5(x823,x824,x821)
% 0.19/0.74
% 0.19/0.74 %-------------------------------------------
% 0.19/0.74 cnf(194,plain,
% 0.19/0.74 (~E(a4,a5)),
% 0.19/0.74 inference(scs_inference,[],[86,2])).
% 0.19/0.74 cnf(195,plain,
% 0.19/0.74 (P7(a4,a3)),
% 0.19/0.74 inference(scs_inference,[],[84,86,2,94])).
% 0.19/0.74 cnf(197,plain,
% 0.19/0.74 (P3(a1,a3)),
% 0.19/0.74 inference(scs_inference,[],[83,84,86,2,94,89])).
% 0.19/0.74 cnf(215,plain,
% 0.19/0.74 (P4(a1,a5,a4)),
% 0.19/0.74 inference(scs_inference,[],[85,195,106])).
% 0.19/0.74 cnf(221,plain,
% 0.19/0.74 (P11(a4,x2211,a3)+P4(x2211,f19(x2211,a3,a4),a4)),
% 0.19/0.74 inference(scs_inference,[],[85,195,106,170,169,136])).
% 0.19/0.74 cnf(237,plain,
% 0.19/0.74 (~P8(a5,a1,a3)),
% 0.19/0.74 inference(scs_inference,[],[194,215,195,115])).
% 0.19/0.74 cnf(268,plain,
% 0.19/0.74 (P4(a1,f19(a1,a3,a4),a4)),
% 0.19/0.74 inference(scs_inference,[],[85,194,86,195,237,197,215,84,94,70,92,137,116,106,221])).
% 0.19/0.74 cnf(270,plain,
% 0.19/0.74 (~P9(a4,a1,a3)),
% 0.19/0.74 inference(scs_inference,[],[85,194,86,195,237,197,215,84,94,70,92,137,116,106,221,109])).
% 0.19/0.74 cnf(272,plain,
% 0.19/0.74 (~P13(a5,a1,a3)),
% 0.19/0.74 inference(scs_inference,[],[85,194,86,195,237,197,215,84,94,70,92,137,116,106,221,109,108])).
% 0.19/0.74 cnf(278,plain,
% 0.19/0.74 (P7(f19(a1,a3,a4),a3)),
% 0.19/0.74 inference(scs_inference,[],[85,194,86,195,237,197,215,84,94,70,92,137,116,106,221,109,108,107,170,120])).
% 0.19/0.74 cnf(282,plain,
% 0.19/0.74 (~E(f19(a1,a3,a4),a4)),
% 0.19/0.74 inference(scs_inference,[],[85,194,86,195,237,197,215,84,94,70,92,137,116,106,221,109,108,107,170,120,117,111])).
% 0.19/0.74 cnf(307,plain,
% 0.19/0.74 (~P4(a1,a4,f19(a1,a3,a4))),
% 0.19/0.74 inference(scs_inference,[],[195,268,282,278,270,272,197,183,182,155,154,113,112,137])).
% 0.19/0.74 cnf(328,plain,
% 0.19/0.74 ($false),
% 0.19/0.74 inference(scs_inference,[],[307,278,84,106]),
% 0.19/0.74 ['proof']).
% 0.19/0.74 % SZS output end Proof
% 0.19/0.74 % Total time :0.080000s
%------------------------------------------------------------------------------