%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SET794+4 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n017.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 : Mon Jun 24 14:22:29 EDT 2024
% Result : Theorem 2.38s 2.45s
% Output : CNFRefutation 2.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET794+4 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n017.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 : Sun Jun 23 18:12:08 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.49/0.57 start to proof:theBenchmark
% 2.38/2.44 %-------------------------------------------
% 2.38/2.44 % File :CSE---1.7
% 2.38/2.45 % Problem :theBenchmark
% 2.38/2.45 % Transform :cnf
% 2.38/2.45 % Format :tptp:raw
% 2.38/2.45 % Command :java -jar mcs_scs.jar %d %s
% 2.38/2.45
% 2.38/2.45 % Result :Theorem 1.810000s
% 2.38/2.45 % Output :CNFRefutation 1.810000s
% 2.38/2.45 %-------------------------------------------
% 2.38/2.45 %------------------------------------------------------------------------------
% 2.38/2.45 % File : SET794+4 : TPTP v8.2.0. Released v3.2.0.
% 2.38/2.45 % Domain : Set Theory (Order relations)
% 2.38/2.45 % Problem : If the order is total, a minimal element is the least element
% 2.38/2.45 % Version : [Pas05] axioms.
% 2.38/2.45 % English :
% 2.38/2.45
% 2.38/2.45 % Refs : [Pas05] Pastre (2005), Email to G. Sutcliffe
% 2.38/2.45 % Source : [Pas05]
% 2.38/2.45 % Names :
% 2.38/2.45
% 2.38/2.45 % Status : Theorem
% 2.38/2.45 % Rating : 0.11 v8.2.0, 0.08 v8.1.0, 0.06 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.1.0, 0.07 v6.0.0, 0.04 v5.4.0, 0.00 v5.3.0, 0.04 v5.2.0, 0.05 v5.0.0, 0.04 v3.7.0, 0.00 v3.2.0
% 2.38/2.45 % Syntax : Number of formulae : 11 ( 0 unt; 0 def)
% 2.38/2.45 % Number of atoms : 59 ( 3 equ)
% 2.38/2.45 % Maximal formula atoms : 14 ( 5 avg)
% 2.38/2.45 % Number of connectives : 48 ( 0 ~; 1 |; 22 &)
% 2.38/2.45 % ( 10 <=>; 15 =>; 0 <=; 0 <~>)
% 2.38/2.45 % Maximal formula depth : 12 ( 9 avg)
% 2.38/2.45 % Maximal term depth : 1 ( 1 avg)
% 2.38/2.45 % Number of predicates : 13 ( 12 usr; 0 prp; 2-4 aty)
% 2.38/2.45 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 2.38/2.45 % Number of variables : 49 ( 49 !; 0 ?)
% 2.38/2.45 % SPC : FOF_THM_RFO_SEQ
% 2.38/2.45
% 2.38/2.45 % Comments :
% 2.38/2.45 %------------------------------------------------------------------------------
% 2.38/2.45 %----Include order relation axioms
% 2.38/2.45 include('Axioms/SET006+3.ax').
% 2.38/2.45 %------------------------------------------------------------------------------
% 2.38/2.45 fof(thIV6,conjecture,
% 2.38/2.45 ! [R,E,M] :
% 2.38/2.45 ( ( total_order(R,E)
% 2.38/2.45 & min(M,R,E) )
% 2.38/2.45 => least(M,R,E) ) ).
% 2.38/2.45
% 2.38/2.45 %------------------------------------------------------------------------------
% 2.38/2.45 %-------------------------------------------
% 2.38/2.45 % Proof found
% 2.38/2.45 % SZS status Theorem for theBenchmark
% 2.38/2.45 % SZS output start Proof
% 2.38/2.45 %ClaNum:192(EqnAxiom:82)
% 2.38/2.45 %VarNum:1268(SingletonVarNum:278)
% 2.38/2.45 %MaxLitNum:7
% 2.38/2.45 %MaxfuncDepth:1
% 2.38/2.45 %SharedTerms:6
% 2.38/2.45 %goalClause: 83 84 85
% 2.38/2.45 %singleGoalClaCount:3
% 2.38/2.45 [83]P1(a1,a3)
% 2.38/2.45 [84]P2(a4,a1,a3)
% 2.38/2.45 [85]~P3(a4,a1,a3)
% 2.38/2.45 [86]~P1(x861,x862)+P12(x861,x862)
% 2.38/2.45 [87]~P4(x871,x872)+P12(x871,x872)
% 2.38/2.45 [88]~P12(x881,x882)+P4(x881,x882)
% 2.38/2.45 [92]P8(x921,x922)+~P6(x921,x923,x922)
% 2.38/2.45 [93]P8(x931,x932)+~P3(x931,x933,x932)
% 2.38/2.45 [94]P8(x941,x942)+~P9(x941,x943,x942)
% 2.38/2.45 [95]P8(x951,x952)+~P2(x951,x953,x952)
% 2.38/2.45 [111]P13(x1111,x1112,x1113)+P8(f14(x1112,x1113,x1111),x1113)
% 2.38/2.45 [112]P10(x1121,x1122,x1123)+P8(f15(x1122,x1123,x1121),x1123)
% 2.38/2.45 [153]P10(x1531,x1532,x1533)+~P5(x1532,x1531,f15(x1532,x1533,x1531))
% 2.38/2.45 [154]P13(x1541,x1542,x1543)+~P5(x1542,f14(x1542,x1543,x1541),x1541)
% 2.38/2.45 [179]P8(x1791,x1792)+~P11(x1791,x1792,x1793,x1794)
% 2.38/2.45 [180]P8(x1801,x1802)+~P7(x1801,x1802,x1803,x1804)
% 2.38/2.45 [181]P13(x1811,x1812,x1813)+~P11(x1811,x1813,x1812,x1814)
% 2.38/2.45 [182]P10(x1821,x1822,x1823)+~P7(x1821,x1823,x1822,x1824)
% 2.38/2.45 [89]~P12(x891,x892)+P1(x891,x892)+P8(f5(x891,x892),x892)
% 2.38/2.45 [90]~P12(x901,x902)+P1(x901,x902)+P8(f12(x901,x902),x902)
% 2.38/2.45 [130]~P12(x1301,x1302)+P1(x1301,x1302)+~P5(x1301,f5(x1301,x1302),f12(x1301,x1302))
% 2.38/2.45 [131]~P12(x1311,x1312)+P1(x1311,x1312)+~P5(x1311,f12(x1311,x1312),f5(x1311,x1312))
% 2.38/2.45 [91]~P4(x911,x913)+P5(x911,x912,x912)+~P8(x912,x913)
% 2.38/2.45 [109]~P8(x1091,x1093)+P9(x1091,x1092,x1093)+~E(f13(x1092,x1093,x1091),x1091)
% 2.38/2.45 [110]~P8(x1101,x1103)+P2(x1101,x1102,x1103)+~E(f18(x1102,x1103,x1101),x1101)
% 2.38/2.45 [116]~P8(x1161,x1163)+P6(x1161,x1162,x1163)+P8(f16(x1162,x1163,x1161),x1163)
% 2.38/2.45 [117]~P8(x1171,x1173)+P3(x1171,x1172,x1173)+P8(f17(x1172,x1173,x1171),x1173)
% 2.38/2.45 [118]~P8(x1181,x1183)+P9(x1181,x1182,x1183)+P8(f13(x1182,x1183,x1181),x1183)
% 2.38/2.45 [119]~P8(x1191,x1193)+P2(x1191,x1192,x1193)+P8(f18(x1192,x1193,x1191),x1193)
% 2.38/2.45 [134]~P8(x1341,x1343)+P9(x1341,x1342,x1343)+P5(x1342,x1341,f13(x1342,x1343,x1341))
% 2.38/2.45 [135]~P8(x1351,x1353)+P2(x1351,x1352,x1353)+P5(x1352,f18(x1352,x1353,x1351),x1351)
% 2.38/2.45 [168]~P8(x1681,x1683)+P3(x1681,x1682,x1683)+~P5(x1682,x1681,f17(x1682,x1683,x1681))
% 2.38/2.45 [169]~P8(x1691,x1693)+P6(x1691,x1692,x1693)+~P5(x1692,f16(x1692,x1693,x1691),x1691)
% 2.38/2.45 [105]~P3(x1052,x1051,x1054)+P5(x1051,x1052,x1053)+~P8(x1053,x1054)
% 2.38/2.45 [106]~P6(x1063,x1061,x1064)+P5(x1061,x1062,x1063)+~P8(x1062,x1064)
% 2.38/2.45 [107]~P13(x1073,x1071,x1074)+P5(x1071,x1072,x1073)+~P8(x1072,x1074)
% 2.38/2.45 [108]~P10(x1082,x1081,x1084)+P5(x1081,x1082,x1083)+~P8(x1083,x1084)
% 2.38/2.46 [96]P4(x961,x962)+P8(f6(x962,x961),x962)+P8(f7(x962,x961),x962)+P8(f8(x962,x961),x962)
% 2.38/2.46 [97]P4(x971,x972)+P8(f6(x972,x971),x972)+P8(f7(x972,x971),x972)+P8(f10(x972,x971),x972)
% 2.38/2.46 [98]P4(x981,x982)+P8(f6(x982,x981),x982)+P8(f7(x982,x981),x982)+P8(f11(x982,x981),x982)
% 2.38/2.46 [99]P4(x991,x992)+P8(f6(x992,x991),x992)+P8(f9(x992,x991),x992)+P8(f8(x992,x991),x992)
% 2.38/2.46 [100]P4(x1001,x1002)+P8(f6(x1002,x1001),x1002)+P8(f9(x1002,x1001),x1002)+P8(f10(x1002,x1001),x1002)
% 2.38/2.46 [101]P4(x1011,x1012)+P8(f6(x1012,x1011),x1012)+P8(f9(x1012,x1011),x1012)+P8(f11(x1012,x1011),x1012)
% 2.38/2.46 [102]P4(x1021,x1022)+P8(f6(x1022,x1021),x1022)+P8(f8(x1022,x1021),x1022)+~E(f9(x1022,x1021),f7(x1022,x1021))
% 2.38/2.46 [103]P4(x1031,x1032)+P8(f6(x1032,x1031),x1032)+P8(f10(x1032,x1031),x1032)+~E(f9(x1032,x1031),f7(x1032,x1031))
% 2.38/2.46 [104]P4(x1041,x1042)+P8(f6(x1042,x1041),x1042)+P8(f11(x1042,x1041),x1042)+~E(f9(x1042,x1041),f7(x1042,x1041))
% 2.38/2.46 [120]P4(x1201,x1202)+P5(x1201,f7(x1202,x1201),f9(x1202,x1201))+P8(f6(x1202,x1201),x1202)+P8(f8(x1202,x1201),x1202)
% 2.38/2.46 [121]P4(x1211,x1212)+P5(x1211,f9(x1212,x1211),f7(x1212,x1211))+P8(f6(x1212,x1211),x1212)+P8(f8(x1212,x1211),x1212)
% 2.38/2.46 [122]P4(x1221,x1222)+P5(x1221,f7(x1222,x1221),f9(x1222,x1221))+P8(f6(x1222,x1221),x1222)+P8(f10(x1222,x1221),x1222)
% 2.38/2.46 [123]P4(x1231,x1232)+P5(x1231,f9(x1232,x1231),f7(x1232,x1231))+P8(f6(x1232,x1231),x1232)+P8(f10(x1232,x1231),x1232)
% 2.38/2.46 [124]P4(x1241,x1242)+P5(x1241,f7(x1242,x1241),f9(x1242,x1241))+P8(f6(x1242,x1241),x1242)+P8(f11(x1242,x1241),x1242)
% 2.38/2.46 [125]P4(x1251,x1252)+P5(x1251,f9(x1252,x1251),f7(x1252,x1251))+P8(f6(x1252,x1251),x1252)+P8(f11(x1252,x1251),x1252)
% 2.38/2.46 [126]P4(x1261,x1262)+P5(x1261,f8(x1262,x1261),f10(x1262,x1261))+P8(f6(x1262,x1261),x1262)+P8(f7(x1262,x1261),x1262)
% 2.38/2.46 [127]P4(x1271,x1272)+P5(x1271,f10(x1272,x1271),f11(x1272,x1271))+P8(f6(x1272,x1271),x1272)+P8(f7(x1272,x1271),x1272)
% 2.38/2.46 [128]P4(x1281,x1282)+P5(x1281,f8(x1282,x1281),f10(x1282,x1281))+P8(f6(x1282,x1281),x1282)+P8(f9(x1282,x1281),x1282)
% 2.38/2.46 [129]P4(x1291,x1292)+P5(x1291,f10(x1292,x1291),f11(x1292,x1291))+P8(f6(x1292,x1291),x1292)+P8(f9(x1292,x1291),x1292)
% 2.38/2.46 [132]P4(x1321,x1322)+P5(x1321,f8(x1322,x1321),f10(x1322,x1321))+P8(f6(x1322,x1321),x1322)+~E(f9(x1322,x1321),f7(x1322,x1321))
% 2.38/2.46 [133]P4(x1331,x1332)+P5(x1331,f10(x1332,x1331),f11(x1332,x1331))+P8(f6(x1332,x1331),x1332)+~E(f9(x1332,x1331),f7(x1332,x1331))
% 2.38/2.46 [137]P4(x1371,x1372)+~P5(x1371,f6(x1372,x1371),f6(x1372,x1371))+P8(f7(x1372,x1371),x1372)+P8(f8(x1372,x1371),x1372)
% 2.38/2.46 [138]P4(x1381,x1382)+~P5(x1381,f6(x1382,x1381),f6(x1382,x1381))+P8(f7(x1382,x1381),x1382)+P8(f10(x1382,x1381),x1382)
% 2.38/2.46 [139]P4(x1391,x1392)+~P5(x1391,f6(x1392,x1391),f6(x1392,x1391))+P8(f7(x1392,x1391),x1392)+P8(f11(x1392,x1391),x1392)
% 2.38/2.46 [140]P4(x1401,x1402)+~P5(x1401,f6(x1402,x1401),f6(x1402,x1401))+P8(f9(x1402,x1401),x1402)+P8(f8(x1402,x1401),x1402)
% 2.38/2.46 [141]P4(x1411,x1412)+~P5(x1411,f6(x1412,x1411),f6(x1412,x1411))+P8(f9(x1412,x1411),x1412)+P8(f10(x1412,x1411),x1412)
% 2.38/2.46 [142]P4(x1421,x1422)+~P5(x1421,f6(x1422,x1421),f6(x1422,x1421))+P8(f9(x1422,x1421),x1422)+P8(f11(x1422,x1421),x1422)
% 2.38/2.46 [143]P4(x1431,x1432)+~P5(x1431,f8(x1432,x1431),f11(x1432,x1431))+P8(f6(x1432,x1431),x1432)+P8(f7(x1432,x1431),x1432)
% 2.38/2.46 [144]P4(x1441,x1442)+~P5(x1441,f8(x1442,x1441),f11(x1442,x1441))+P8(f6(x1442,x1441),x1442)+P8(f9(x1442,x1441),x1442)
% 2.38/2.46 [145]P4(x1451,x1452)+~P5(x1451,f6(x1452,x1451),f6(x1452,x1451))+P8(f8(x1452,x1451),x1452)+~E(f9(x1452,x1451),f7(x1452,x1451))
% 2.38/2.46 [146]P4(x1461,x1462)+~P5(x1461,f6(x1462,x1461),f6(x1462,x1461))+P8(f10(x1462,x1461),x1462)+~E(f9(x1462,x1461),f7(x1462,x1461))
% 2.38/2.46 [147]P4(x1471,x1472)+~P5(x1471,f6(x1472,x1471),f6(x1472,x1471))+P8(f11(x1472,x1471),x1472)+~E(f9(x1472,x1471),f7(x1472,x1471))
% 2.38/2.46 [148]P4(x1481,x1482)+~P5(x1481,f8(x1482,x1481),f11(x1482,x1481))+P8(f6(x1482,x1481),x1482)+~E(f9(x1482,x1481),f7(x1482,x1481))
% 2.38/2.46 [149]P4(x1491,x1492)+P5(x1491,f7(x1492,x1491),f9(x1492,x1491))+P5(x1491,f8(x1492,x1491),f10(x1492,x1491))+P8(f6(x1492,x1491),x1492)
% 2.38/2.46 [150]P4(x1501,x1502)+P5(x1501,f7(x1502,x1501),f9(x1502,x1501))+P5(x1501,f10(x1502,x1501),f11(x1502,x1501))+P8(f6(x1502,x1501),x1502)
% 2.38/2.46 [151]P4(x1511,x1512)+P5(x1511,f9(x1512,x1511),f7(x1512,x1511))+P5(x1511,f8(x1512,x1511),f10(x1512,x1511))+P8(f6(x1512,x1511),x1512)
% 2.38/2.46 [152]P4(x1521,x1522)+P5(x1521,f9(x1522,x1521),f7(x1522,x1521))+P5(x1521,f10(x1522,x1521),f11(x1522,x1521))+P8(f6(x1522,x1521),x1522)
% 2.38/2.46 [156]P4(x1561,x1562)+P5(x1561,f7(x1562,x1561),f9(x1562,x1561))+~P5(x1561,f6(x1562,x1561),f6(x1562,x1561))+P8(f8(x1562,x1561),x1562)
% 2.38/2.46 [157]P4(x1571,x1572)+P5(x1571,f9(x1572,x1571),f7(x1572,x1571))+~P5(x1571,f6(x1572,x1571),f6(x1572,x1571))+P8(f8(x1572,x1571),x1572)
% 2.38/2.46 [158]P4(x1581,x1582)+P5(x1581,f7(x1582,x1581),f9(x1582,x1581))+~P5(x1581,f6(x1582,x1581),f6(x1582,x1581))+P8(f10(x1582,x1581),x1582)
% 2.38/2.46 [159]P4(x1591,x1592)+P5(x1591,f9(x1592,x1591),f7(x1592,x1591))+~P5(x1591,f6(x1592,x1591),f6(x1592,x1591))+P8(f10(x1592,x1591),x1592)
% 2.38/2.46 [160]P4(x1601,x1602)+P5(x1601,f7(x1602,x1601),f9(x1602,x1601))+~P5(x1601,f6(x1602,x1601),f6(x1602,x1601))+P8(f11(x1602,x1601),x1602)
% 2.38/2.46 [161]P4(x1611,x1612)+P5(x1611,f9(x1612,x1611),f7(x1612,x1611))+~P5(x1611,f6(x1612,x1611),f6(x1612,x1611))+P8(f11(x1612,x1611),x1612)
% 2.38/2.46 [162]P4(x1621,x1622)+P5(x1621,f7(x1622,x1621),f9(x1622,x1621))+~P5(x1621,f8(x1622,x1621),f11(x1622,x1621))+P8(f6(x1622,x1621),x1622)
% 2.38/2.46 [163]P4(x1631,x1632)+P5(x1631,f9(x1632,x1631),f7(x1632,x1631))+~P5(x1631,f8(x1632,x1631),f11(x1632,x1631))+P8(f6(x1632,x1631),x1632)
% 2.38/2.46 [164]P4(x1641,x1642)+P5(x1641,f8(x1642,x1641),f10(x1642,x1641))+~P5(x1641,f6(x1642,x1641),f6(x1642,x1641))+P8(f7(x1642,x1641),x1642)
% 2.38/2.46 [165]P4(x1651,x1652)+P5(x1651,f10(x1652,x1651),f11(x1652,x1651))+~P5(x1651,f6(x1652,x1651),f6(x1652,x1651))+P8(f7(x1652,x1651),x1652)
% 2.38/2.46 [166]P4(x1661,x1662)+P5(x1661,f8(x1662,x1661),f10(x1662,x1661))+~P5(x1661,f6(x1662,x1661),f6(x1662,x1661))+P8(f9(x1662,x1661),x1662)
% 2.38/2.46 [167]P4(x1671,x1672)+P5(x1671,f10(x1672,x1671),f11(x1672,x1671))+~P5(x1671,f6(x1672,x1671),f6(x1672,x1671))+P8(f9(x1672,x1671),x1672)
% 2.38/2.46 [170]P4(x1701,x1702)+P5(x1701,f8(x1702,x1701),f10(x1702,x1701))+~P5(x1701,f6(x1702,x1701),f6(x1702,x1701))+~E(f9(x1702,x1701),f7(x1702,x1701))
% 2.38/2.46 [171]P4(x1711,x1712)+P5(x1711,f10(x1712,x1711),f11(x1712,x1711))+~P5(x1711,f6(x1712,x1711),f6(x1712,x1711))+~E(f9(x1712,x1711),f7(x1712,x1711))
% 2.38/2.46 [172]P4(x1721,x1722)+~P5(x1721,f6(x1722,x1721),f6(x1722,x1721))+~P5(x1721,f8(x1722,x1721),f11(x1722,x1721))+P8(f7(x1722,x1721),x1722)
% 2.38/2.46 [173]P4(x1731,x1732)+~P5(x1731,f6(x1732,x1731),f6(x1732,x1731))+~P5(x1731,f8(x1732,x1731),f11(x1732,x1731))+P8(f9(x1732,x1731),x1732)
% 2.38/2.46 [174]P4(x1741,x1742)+~P5(x1741,f6(x1742,x1741),f6(x1742,x1741))+~P5(x1741,f8(x1742,x1741),f11(x1742,x1741))+~E(f9(x1742,x1741),f7(x1742,x1741))
% 2.38/2.46 [175]P4(x1751,x1752)+P5(x1751,f7(x1752,x1751),f9(x1752,x1751))+P5(x1751,f8(x1752,x1751),f10(x1752,x1751))+~P5(x1751,f6(x1752,x1751),f6(x1752,x1751))
% 2.38/2.46 [176]P4(x1761,x1762)+P5(x1761,f7(x1762,x1761),f9(x1762,x1761))+P5(x1761,f10(x1762,x1761),f11(x1762,x1761))+~P5(x1761,f6(x1762,x1761),f6(x1762,x1761))
% 2.38/2.46 [177]P4(x1771,x1772)+P5(x1771,f9(x1772,x1771),f7(x1772,x1771))+P5(x1771,f8(x1772,x1771),f10(x1772,x1771))+~P5(x1771,f6(x1772,x1771),f6(x1772,x1771))
% 2.38/2.46 [178]P4(x1781,x1782)+P5(x1781,f9(x1782,x1781),f7(x1782,x1781))+P5(x1781,f10(x1782,x1781),f11(x1782,x1781))+~P5(x1781,f6(x1782,x1781),f6(x1782,x1781))
% 2.38/2.46 [183]P4(x1831,x1832)+P5(x1831,f7(x1832,x1831),f9(x1832,x1831))+~P5(x1831,f6(x1832,x1831),f6(x1832,x1831))+~P5(x1831,f8(x1832,x1831),f11(x1832,x1831))
% 2.38/2.46 [184]P4(x1841,x1842)+P5(x1841,f9(x1842,x1841),f7(x1842,x1841))+~P5(x1841,f6(x1842,x1841),f6(x1842,x1841))+~P5(x1841,f8(x1842,x1841),f11(x1842,x1841))
% 2.38/2.46 [114]~P9(x1142,x1144,x1143)+E(x1141,x1142)+~P5(x1144,x1142,x1141)+~P8(x1141,x1143)
% 2.38/2.46 [115]~P2(x1152,x1154,x1153)+E(x1151,x1152)+~P5(x1154,x1151,x1152)+~P8(x1151,x1153)
% 2.38/2.46 [187]~P8(x1871,x1872)+~P13(x1871,x1873,x1872)+P11(x1871,x1872,x1873,x1874)+P8(f19(x1871,x1872,x1873,x1874),x1874)
% 2.38/2.46 [188]~P8(x1881,x1882)+~P10(x1881,x1883,x1882)+P7(x1881,x1882,x1883,x1884)+P8(f2(x1881,x1882,x1883,x1884),x1884)
% 2.38/2.46 [189]~P8(x1891,x1892)+~P13(x1891,x1893,x1892)+P11(x1891,x1892,x1893,x1894)+P13(f19(x1891,x1892,x1893,x1894),x1893,x1892)
% 2.38/2.46 [190]~P8(x1901,x1902)+~P10(x1901,x1903,x1902)+P7(x1901,x1902,x1903,x1904)+P10(f2(x1901,x1902,x1903,x1904),x1903,x1902)
% 2.38/2.46 [191]~P8(x1911,x1912)+~P13(x1911,x1913,x1912)+P11(x1911,x1912,x1913,x1914)+~P5(x1913,x1911,f19(x1911,x1912,x1913,x1914))
% 2.38/2.46 [192]~P8(x1921,x1922)+~P10(x1921,x1923,x1922)+P7(x1921,x1922,x1923,x1924)+~P5(x1923,f2(x1921,x1922,x1923,x1924),x1921)
% 2.38/2.46 [185]~P11(x1852,x1855,x1851,x1854)+P5(x1851,x1852,x1853)+~P13(x1853,x1851,x1855)+~P8(x1853,x1854)
% 2.38/2.46 [186]~P7(x1863,x1865,x1861,x1864)+P5(x1861,x1862,x1863)+~P10(x1862,x1861,x1865)+~P8(x1862,x1864)
% 2.38/2.46 [113]P5(x1131,x1133,x1132)+~P8(x1133,x1134)+~P1(x1131,x1134)+P5(x1131,x1132,x1133)+~P8(x1132,x1134)
% 2.38/2.46 [136]~P8(x1361,x1363)+~P5(x1364,x1362,x1361)+~P5(x1364,x1361,x1362)+E(x1361,x1362)+~P8(x1362,x1363)+~P4(x1364,x1363)
% 2.38/2.46 [155]~P8(x1552,x1554)+~P4(x1551,x1554)+~P5(x1551,x1555,x1553)+~P5(x1551,x1552,x1555)+P5(x1551,x1552,x1553)+~P8(x1553,x1554)+~P8(x1555,x1554)
% 2.38/2.46 %EqnAxiom
% 2.38/2.46 [1]E(x11,x11)
% 2.38/2.46 [2]E(x22,x21)+~E(x21,x22)
% 2.38/2.46 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 2.38/2.46 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 2.38/2.46 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 2.38/2.46 [6]~E(x61,x62)+E(f12(x61,x63),f12(x62,x63))
% 2.38/2.46 [7]~E(x71,x72)+E(f12(x73,x71),f12(x73,x72))
% 2.38/2.46 [8]~E(x81,x82)+E(f6(x81,x83),f6(x82,x83))
% 2.38/2.46 [9]~E(x91,x92)+E(f6(x93,x91),f6(x93,x92))
% 2.38/2.46 [10]~E(x101,x102)+E(f7(x101,x103),f7(x102,x103))
% 2.38/2.46 [11]~E(x111,x112)+E(f7(x113,x111),f7(x113,x112))
% 2.38/2.46 [12]~E(x121,x122)+E(f8(x121,x123),f8(x122,x123))
% 2.38/2.46 [13]~E(x131,x132)+E(f8(x133,x131),f8(x133,x132))
% 2.38/2.46 [14]~E(x141,x142)+E(f2(x141,x143,x144,x145),f2(x142,x143,x144,x145))
% 2.38/2.46 [15]~E(x151,x152)+E(f2(x153,x151,x154,x155),f2(x153,x152,x154,x155))
% 2.38/2.46 [16]~E(x161,x162)+E(f2(x163,x164,x161,x165),f2(x163,x164,x162,x165))
% 2.38/2.46 [17]~E(x171,x172)+E(f2(x173,x174,x175,x171),f2(x173,x174,x175,x172))
% 2.38/2.46 [18]~E(x181,x182)+E(f10(x181,x183),f10(x182,x183))
% 2.38/2.46 [19]~E(x191,x192)+E(f10(x193,x191),f10(x193,x192))
% 2.38/2.46 [20]~E(x201,x202)+E(f17(x201,x203,x204),f17(x202,x203,x204))
% 2.38/2.46 [21]~E(x211,x212)+E(f17(x213,x211,x214),f17(x213,x212,x214))
% 2.38/2.46 [22]~E(x221,x222)+E(f17(x223,x224,x221),f17(x223,x224,x222))
% 2.38/2.46 [23]~E(x231,x232)+E(f19(x231,x233,x234,x235),f19(x232,x233,x234,x235))
% 2.38/2.46 [24]~E(x241,x242)+E(f19(x243,x241,x244,x245),f19(x243,x242,x244,x245))
% 2.38/2.46 [25]~E(x251,x252)+E(f19(x253,x254,x251,x255),f19(x253,x254,x252,x255))
% 2.38/2.46 [26]~E(x261,x262)+E(f19(x263,x264,x265,x261),f19(x263,x264,x265,x262))
% 2.38/2.46 [27]~E(x271,x272)+E(f9(x271,x273),f9(x272,x273))
% 2.38/2.46 [28]~E(x281,x282)+E(f9(x283,x281),f9(x283,x282))
% 2.38/2.46 [29]~E(x291,x292)+E(f11(x291,x293),f11(x292,x293))
% 2.38/2.46 [30]~E(x301,x302)+E(f11(x303,x301),f11(x303,x302))
% 2.38/2.46 [31]~E(x311,x312)+E(f14(x311,x313,x314),f14(x312,x313,x314))
% 2.38/2.46 [32]~E(x321,x322)+E(f14(x323,x321,x324),f14(x323,x322,x324))
% 2.38/2.46 [33]~E(x331,x332)+E(f14(x333,x334,x331),f14(x333,x334,x332))
% 2.38/2.46 [34]~E(x341,x342)+E(f18(x341,x343,x344),f18(x342,x343,x344))
% 2.38/2.46 [35]~E(x351,x352)+E(f18(x353,x351,x354),f18(x353,x352,x354))
% 2.38/2.46 [36]~E(x361,x362)+E(f18(x363,x364,x361),f18(x363,x364,x362))
% 2.38/2.46 [37]~E(x371,x372)+E(f15(x371,x373,x374),f15(x372,x373,x374))
% 2.38/2.46 [38]~E(x381,x382)+E(f15(x383,x381,x384),f15(x383,x382,x384))
% 2.38/2.46 [39]~E(x391,x392)+E(f15(x393,x394,x391),f15(x393,x394,x392))
% 2.38/2.46 [40]~E(x401,x402)+E(f13(x401,x403,x404),f13(x402,x403,x404))
% 2.38/2.46 [41]~E(x411,x412)+E(f13(x413,x411,x414),f13(x413,x412,x414))
% 2.38/2.46 [42]~E(x421,x422)+E(f13(x423,x424,x421),f13(x423,x424,x422))
% 2.38/2.46 [43]~E(x431,x432)+E(f16(x431,x433,x434),f16(x432,x433,x434))
% 2.38/2.46 [44]~E(x441,x442)+E(f16(x443,x441,x444),f16(x443,x442,x444))
% 2.38/2.46 [45]~E(x451,x452)+E(f16(x453,x454,x451),f16(x453,x454,x452))
% 2.38/2.46 [46]P1(x462,x463)+~E(x461,x462)+~P1(x461,x463)
% 2.38/2.46 [47]P1(x473,x472)+~E(x471,x472)+~P1(x473,x471)
% 2.38/2.46 [48]P2(x482,x483,x484)+~E(x481,x482)+~P2(x481,x483,x484)
% 2.38/2.46 [49]P2(x493,x492,x494)+~E(x491,x492)+~P2(x493,x491,x494)
% 2.38/2.46 [50]P2(x503,x504,x502)+~E(x501,x502)+~P2(x503,x504,x501)
% 2.38/2.46 [51]P3(x512,x513,x514)+~E(x511,x512)+~P3(x511,x513,x514)
% 2.38/2.46 [52]P3(x523,x522,x524)+~E(x521,x522)+~P3(x523,x521,x524)
% 2.38/2.46 [53]P3(x533,x534,x532)+~E(x531,x532)+~P3(x533,x534,x531)
% 2.38/2.46 [54]P12(x542,x543)+~E(x541,x542)+~P12(x541,x543)
% 2.38/2.46 [55]P12(x553,x552)+~E(x551,x552)+~P12(x553,x551)
% 2.38/2.46 [56]P5(x562,x563,x564)+~E(x561,x562)+~P5(x561,x563,x564)
% 2.38/2.46 [57]P5(x573,x572,x574)+~E(x571,x572)+~P5(x573,x571,x574)
% 2.38/2.46 [58]P5(x583,x584,x582)+~E(x581,x582)+~P5(x583,x584,x581)
% 2.38/2.46 [59]P11(x592,x593,x594,x595)+~E(x591,x592)+~P11(x591,x593,x594,x595)
% 2.38/2.46 [60]P11(x603,x602,x604,x605)+~E(x601,x602)+~P11(x603,x601,x604,x605)
% 2.38/2.46 [61]P11(x613,x614,x612,x615)+~E(x611,x612)+~P11(x613,x614,x611,x615)
% 2.38/2.46 [62]P11(x623,x624,x625,x622)+~E(x621,x622)+~P11(x623,x624,x625,x621)
% 2.38/2.46 [63]P4(x632,x633)+~E(x631,x632)+~P4(x631,x633)
% 2.38/2.46 [64]P4(x643,x642)+~E(x641,x642)+~P4(x643,x641)
% 2.38/2.46 [65]P8(x652,x653)+~E(x651,x652)+~P8(x651,x653)
% 2.38/2.46 [66]P8(x663,x662)+~E(x661,x662)+~P8(x663,x661)
% 2.38/2.46 [67]P10(x672,x673,x674)+~E(x671,x672)+~P10(x671,x673,x674)
% 2.38/2.46 [68]P10(x683,x682,x684)+~E(x681,x682)+~P10(x683,x681,x684)
% 2.38/2.46 [69]P10(x693,x694,x692)+~E(x691,x692)+~P10(x693,x694,x691)
% 2.38/2.46 [70]P13(x702,x703,x704)+~E(x701,x702)+~P13(x701,x703,x704)
% 2.38/2.46 [71]P13(x713,x712,x714)+~E(x711,x712)+~P13(x713,x711,x714)
% 2.38/2.46 [72]P13(x723,x724,x722)+~E(x721,x722)+~P13(x723,x724,x721)
% 2.38/2.46 [73]P6(x732,x733,x734)+~E(x731,x732)+~P6(x731,x733,x734)
% 2.38/2.46 [74]P6(x743,x742,x744)+~E(x741,x742)+~P6(x743,x741,x744)
% 2.38/2.46 [75]P6(x753,x754,x752)+~E(x751,x752)+~P6(x753,x754,x751)
% 2.38/2.46 [76]P9(x762,x763,x764)+~E(x761,x762)+~P9(x761,x763,x764)
% 2.38/2.46 [77]P9(x773,x772,x774)+~E(x771,x772)+~P9(x773,x771,x774)
% 2.38/2.46 [78]P9(x783,x784,x782)+~E(x781,x782)+~P9(x783,x784,x781)
% 2.38/2.46 [79]P7(x792,x793,x794,x795)+~E(x791,x792)+~P7(x791,x793,x794,x795)
% 2.38/2.46 [80]P7(x803,x802,x804,x805)+~E(x801,x802)+~P7(x803,x801,x804,x805)
% 2.38/2.46 [81]P7(x813,x814,x812,x815)+~E(x811,x812)+~P7(x813,x814,x811,x815)
% 2.38/2.46 [82]P7(x823,x824,x825,x822)+~E(x821,x822)+~P7(x823,x824,x825,x821)
% 2.38/2.46
% 2.38/2.46 %-------------------------------------------
% 2.38/2.46 cnf(235,plain,
% 2.38/2.46 (P4(a1,a3)),
% 2.38/2.46 inference(scs_inference,[],[83,86,88])).
% 2.38/2.46 cnf(242,plain,
% 2.38/2.46 (P5(a1,x2421,x2421)+~P8(x2421,a3)),
% 2.38/2.46 inference(scs_inference,[],[83,235,113,155])).
% 2.38/2.46 cnf(325,plain,
% 2.38/2.46 (P5(a1,a4,a4)),
% 2.38/2.46 inference(scs_inference,[],[84,95,242])).
% 2.38/2.46 cnf(328,plain,
% 2.38/2.46 (P5(a1,a4,x3281)+~E(a4,x3281)),
% 2.38/2.46 inference(scs_inference,[],[325,56,57,58])).
% 2.38/2.46 cnf(942,plain,
% 2.38/2.46 (P8(x9421,a3)+~P8(a4,a3)+~E(f17(a1,a3,a4),x9421)),
% 2.38/2.46 inference(scs_inference,[],[85,65,117])).
% 2.38/2.46 cnf(943,plain,
% 2.38/2.46 (~P8(a4,a3)+P8(f17(a1,a3,a4),a3)),
% 2.38/2.46 inference(equality_inference,[],[942])).
% 2.38/2.46 cnf(959,plain,
% 2.38/2.46 (P8(f17(a1,a3,a4),a3)),
% 2.38/2.46 inference(scs_inference,[],[84,943,95])).
% 2.38/2.46 cnf(960,plain,
% 2.38/2.46 (P5(a1,f17(a1,a3,a4),f17(a1,a3,a4))),
% 2.38/2.46 inference(scs_inference,[],[959,242])).
% 2.38/2.46 cnf(975,plain,
% 2.38/2.46 (P5(a1,x9751,f17(a1,a3,a4))+~E(f17(a1,a3,a4),x9751)),
% 2.38/2.46 inference(scs_inference,[],[960,56,57])).
% 2.38/2.46 cnf(1286,plain,
% 2.38/2.46 (~P8(a4,x12861)+~E(x12861,a3)+~P5(a1,a4,f17(a1,x12861,a4))),
% 2.38/2.46 inference(scs_inference,[],[85,53,168])).
% 2.38/2.46 cnf(1287,plain,
% 2.38/2.46 (~P8(a4,a3)+~P5(a1,a4,f17(a1,a3,a4))),
% 2.38/2.46 inference(equality_inference,[],[1286])).
% 2.38/2.46 cnf(1303,plain,
% 2.38/2.46 (~P5(a1,a4,f17(a1,a3,a4))),
% 2.38/2.46 inference(scs_inference,[],[84,1287,95])).
% 2.38/2.46 cnf(1305,plain,
% 2.38/2.46 (~E(f17(a1,a3,a4),a4)),
% 2.38/2.46 inference(scs_inference,[],[1303,328,975])).
% 2.38/2.46 cnf(1310,plain,
% 2.38/2.46 (~P8(a4,a3)+P5(a1,f17(a1,a3,a4),a4)),
% 2.38/2.46 inference(scs_inference,[],[83,1303,959,328,975,108,182,113])).
% 2.38/2.46 cnf(1323,plain,
% 2.38/2.46 (P5(a1,f17(a1,a3,a4),a4)),
% 2.38/2.46 inference(scs_inference,[],[84,1310,95])).
% 2.38/2.46 cnf(1324,plain,
% 2.38/2.46 ($false),
% 2.38/2.46 inference(scs_inference,[],[84,1323,959,1305,115]),
% 2.38/2.46 ['proof']).
% 2.38/2.46 % SZS output end Proof
% 2.38/2.46 % Total time :1.810000s
%------------------------------------------------------------------------------