%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SET767+4 : TPTP v8.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n026.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 14:22:24 EDT 2024
% Result : Theorem 6.80s 6.92s
% Output : CNFRefutation 6.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET767+4 : TPTP v8.2.0. Released v2.2.0.
% 0.08/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jun 23 11:27:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.56/0.61 start to proof:theBenchmark
% 6.80/6.91 %-------------------------------------------
% 6.80/6.91 % File :CSE---1.7
% 6.80/6.91 % Problem :theBenchmark
% 6.80/6.91 % Transform :cnf
% 6.80/6.91 % Format :tptp:raw
% 6.80/6.91 % Command :java -jar mcs_scs.jar %d %s
% 6.80/6.91
% 6.80/6.91 % Result :Theorem 6.170000s
% 6.80/6.91 % Output :CNFRefutation 6.170000s
% 6.80/6.91 %-------------------------------------------
% 6.80/6.92 %--------------------------------------------------------------------------
% 6.80/6.92 % File : SET767+4 : TPTP v8.2.0. Released v2.2.0.
% 6.80/6.92 % Domain : Set Theory (Equivalence relations)
% 6.80/6.92 % Problem : Equivalence classes on E are power_set E
% 6.80/6.92 % Version : [Pas99] axioms.
% 6.80/6.92 % English :
% 6.80/6.92
% 6.80/6.92 % Refs : [Pas99] Pastre (1999), Email to G. Sutcliffe
% 6.80/6.92 % Source : [Pas99]
% 6.80/6.92 % Names :
% 6.80/6.92
% 6.80/6.92 % Status : Theorem
% 6.80/6.92 % Rating : 0.17 v8.2.0, 0.19 v8.1.0, 0.17 v7.5.0, 0.16 v7.4.0, 0.17 v7.3.0, 0.21 v7.2.0, 0.17 v7.1.0, 0.13 v6.4.0, 0.15 v6.3.0, 0.21 v6.2.0, 0.16 v6.1.0, 0.27 v6.0.0, 0.30 v5.4.0, 0.36 v5.3.0, 0.37 v5.2.0, 0.30 v5.1.0, 0.33 v4.1.0, 0.35 v4.0.0, 0.42 v3.7.0, 0.35 v3.5.0, 0.32 v3.3.0, 0.21 v3.2.0, 0.36 v3.1.0, 0.33 v2.7.0, 0.17 v2.6.0, 0.29 v2.5.0, 0.38 v2.4.0, 0.25 v2.3.0, 0.00 v2.2.1
% 6.80/6.92 % Syntax : Number of formulae : 17 ( 1 unt; 0 def)
% 6.80/6.92 % Number of atoms : 70 ( 4 equ)
% 6.80/6.92 % Maximal formula atoms : 13 ( 4 avg)
% 6.80/6.92 % Number of connectives : 56 ( 3 ~; 2 |; 21 &)
% 6.80/6.92 % ( 15 <=>; 15 =>; 0 <=; 0 <~>)
% 6.80/6.92 % Maximal formula depth : 12 ( 7 avg)
% 6.80/6.92 % Maximal term depth : 2 ( 1 avg)
% 6.80/6.92 % Number of predicates : 9 ( 8 usr; 0 prp; 2-3 aty)
% 6.80/6.92 % Number of functors : 10 ( 10 usr; 1 con; 0-3 aty)
% 6.80/6.92 % Number of variables : 60 ( 56 !; 4 ?)
% 6.80/6.92 % SPC : FOF_THM_RFO_SEQ
% 6.80/6.92
% 6.80/6.92 % Comments :
% 6.80/6.92 %--------------------------------------------------------------------------
% 6.80/6.92 %----Include set theory definitions
% 6.80/6.92 include('Axioms/SET006+0.ax').
% 6.80/6.92 %----Include equivalence relation axioms
% 6.80/6.92 include('Axioms/SET006+2.ax').
% 6.80/6.92 %--------------------------------------------------------------------------
% 6.80/6.92 fof(thIII03,conjecture,
% 6.80/6.92 ! [E,R,A] :
% 6.80/6.92 ( equivalence(R,E)
% 6.80/6.92 => subset(equivalence_class(A,E,R),E) ) ).
% 6.80/6.92
% 6.80/6.92 %--------------------------------------------------------------------------
% 6.80/6.92 %-------------------------------------------
% 6.80/6.92 % Proof found
% 6.80/6.92 % SZS status Theorem for theBenchmark
% 6.80/6.92 % SZS output start Proof
% 6.80/6.92 %ClaNum:206(EqnAxiom:78)
% 6.80/6.92 %VarNum:1331(SingletonVarNum:299)
% 6.80/6.92 %MaxLitNum:7
% 6.80/6.92 %MaxfuncDepth:1
% 6.80/6.92 %SharedTerms:7
% 6.80/6.92 %goalClause: 79 81
% 6.80/6.92 %singleGoalClaCount:2
% 6.80/6.92 [79]P1(a1,a2)
% 6.80/6.92 [81]~P7(f5(a11,a2,a1),a2)
% 6.80/6.92 [80]~P6(x801,a3)
% 6.80/6.92 [84]~P2(x842,x841)+P7(x841,x842)
% 6.80/6.92 [85]~P2(x851,x852)+P7(x851,x852)
% 6.80/6.92 [86]~P3(x861,x862)+P1(x861,x862)
% 6.80/6.92 [87]~P1(x871,x872)+P3(x871,x872)
% 6.80/6.92 [82]~E(x821,x822)+P6(x821,f12(x822))
% 6.80/6.92 [83]E(x831,x832)+~P6(x831,f12(x832))
% 6.80/6.92 [88]~P7(x881,x882)+P6(x881,f13(x882))
% 6.80/6.92 [91]P7(x911,x912)+~P6(x911,f13(x912))
% 6.80/6.92 [92]P7(x921,x922)+P6(f14(x921,x922),x921)
% 6.80/6.92 [93]P4(x931,x932)+P6(f17(x931,x932),x932)
% 6.80/6.92 [94]P4(x941,x942)+P6(f17(x941,x942),x941)
% 6.80/6.92 [98]P6(f18(x981,x982),x982)+P6(x981,f30(x982))
% 6.80/6.92 [105]~P6(x1051,f33(x1052))+P6(x1051,f19(x1051,x1052))
% 6.80/6.92 [106]~P6(x1061,f33(x1062))+P6(f19(x1061,x1062),x1062)
% 6.80/6.92 [111]P7(x1111,x1112)+~P6(f14(x1111,x1112),x1112)
% 6.80/6.92 [112]~P6(x1121,f18(x1121,x1122))+P6(x1121,f30(x1122))
% 6.80/6.92 [89]~E(x891,x893)+P6(x891,f31(x892,x893))
% 6.80/6.92 [90]~E(x901,x902)+P6(x901,f31(x902,x903))
% 6.80/6.92 [99]~P6(x991,x993)+P6(x991,f32(x992,x993))
% 6.80/6.92 [100]~P6(x1001,x1002)+P6(x1001,f32(x1002,x1003))
% 6.80/6.92 [108]P6(x1081,x1082)+~P6(x1081,f24(x1083,x1082))
% 6.80/6.92 [109]P6(x1091,x1092)+~P6(x1091,f24(x1092,x1093))
% 6.80/6.92 [110]P6(x1101,x1102)+~P6(x1101,f4(x1102,x1103))
% 6.80/6.92 [114]~P6(x1141,x1142)+~P6(x1141,f4(x1143,x1142))
% 6.80/6.92 [154]P6(x1541,x1542)+~P6(x1541,f5(x1543,x1542,x1544))
% 6.80/6.92 [166]P5(x1661,x1662,x1663)+~P6(x1663,f5(x1662,x1664,x1661))
% 6.80/6.92 [97]~P7(x972,x971)+~P7(x971,x972)+P2(x971,x972)
% 6.80/6.92 [116]P9(x1161,x1162)+P6(f6(x1161,x1162),x1162)+P6(f8(x1161,x1162),x1162)
% 6.80/6.92 [117]P9(x1171,x1172)+P6(f6(x1171,x1172),x1172)+P6(f9(x1171,x1172),x1172)
% 6.80/6.92 [118]P9(x1181,x1182)+P6(f6(x1181,x1182),x1182)+P6(f10(x1181,x1182),x1182)
% 6.80/6.92 [133]P9(x1331,x1332)+P5(x1331,f8(x1331,x1332),f9(x1331,x1332))+P6(f6(x1331,x1332),x1332)
% 6.80/6.92 [134]P9(x1341,x1342)+P5(x1341,f9(x1341,x1342),f10(x1341,x1342))+P6(f6(x1341,x1342),x1342)
% 6.80/6.92 [159]P9(x1591,x1592)+~P5(x1591,f8(x1591,x1592),f10(x1591,x1592))+P6(f6(x1591,x1592),x1592)
% 6.80/6.92 [160]P9(x1601,x1602)+~P5(x1601,f6(x1601,x1602),f6(x1601,x1602))+P6(f8(x1601,x1602),x1602)
% 6.80/6.92 [161]P9(x1611,x1612)+~P5(x1611,f6(x1611,x1612),f6(x1611,x1612))+P6(f9(x1611,x1612),x1612)
% 6.80/6.92 [162]P9(x1621,x1622)+~P5(x1621,f6(x1621,x1622),f6(x1621,x1622))+P6(f10(x1621,x1622),x1622)
% 6.80/6.92 [180]P9(x1801,x1802)+P5(x1801,f8(x1801,x1802),f9(x1801,x1802))+~P5(x1801,f6(x1801,x1802),f6(x1801,x1802))
% 6.80/6.92 [181]P9(x1811,x1812)+P5(x1811,f9(x1811,x1812),f10(x1811,x1812))+~P5(x1811,f6(x1811,x1812),f6(x1811,x1812))
% 6.80/6.92 [194]P9(x1941,x1942)+~P5(x1941,f6(x1941,x1942),f6(x1941,x1942))+~P5(x1941,f8(x1941,x1942),f10(x1941,x1942))
% 6.80/6.92 [95]~P8(x953,x952)+P7(x951,x952)+~P6(x951,x953)
% 6.80/6.92 [96]~P6(x961,x963)+P6(x961,x962)+~P7(x963,x962)
% 6.80/6.92 [103]~P4(x1033,x1032)+~P6(x1031,x1032)+~P6(x1031,x1033)
% 6.80/6.92 [119]~P9(x1191,x1193)+P5(x1191,x1192,x1192)+~P6(x1192,x1193)
% 6.80/6.92 [120]~P3(x1201,x1203)+P5(x1201,x1202,x1202)+~P6(x1202,x1203)
% 6.80/6.92 [101]~P6(x1013,x1012)+~P6(x1011,x1013)+P6(x1011,f33(x1012))
% 6.80/6.92 [102]E(x1021,x1022)+E(x1021,x1023)+~P6(x1021,f31(x1023,x1022))
% 6.80/6.92 [104]P6(x1041,x1042)+~P6(x1042,x1043)+~P6(x1041,f30(x1043))
% 6.80/6.92 [107]~P6(x1071,x1073)+P6(x1071,x1072)+P6(x1071,f4(x1073,x1072))
% 6.80/6.92 [113]~P6(x1131,x1133)+~P6(x1131,x1132)+P6(x1131,f24(x1132,x1133))
% 6.80/6.92 [115]P6(x1151,x1152)+P6(x1151,x1153)+~P6(x1151,f32(x1153,x1152))
% 6.80/6.92 [138]~P6(x1381,x1383)+~P8(x1382,x1383)+P6(x1381,f26(x1382,x1383,x1381))
% 6.80/6.92 [139]~P6(x1393,x1392)+~P8(x1391,x1392)+P6(f26(x1391,x1392,x1393),x1391)
% 6.80/6.92 [163]~P6(x1631,x1633)+~P5(x1634,x1632,x1631)+P6(x1631,f5(x1632,x1633,x1634))
% 6.80/6.92 [122]P8(x1221,x1222)+P6(f25(x1221,x1222),x1221)+P6(f27(x1221,x1222),x1222)+P6(f28(x1221,x1222),x1221)
% 6.80/6.92 [123]P8(x1231,x1232)+P6(f25(x1231,x1232),x1231)+P6(f27(x1231,x1232),x1232)+P6(f29(x1231,x1232),x1231)
% 6.80/6.92 [124]P3(x1241,x1242)+P6(f15(x1242,x1241),x1242)+P6(f16(x1242,x1241),x1242)+P6(f20(x1242,x1241),x1242)
% 6.80/6.92 [125]P3(x1251,x1252)+P6(f15(x1252,x1251),x1252)+P6(f16(x1252,x1251),x1252)+P6(f22(x1252,x1251),x1252)
% 6.80/6.92 [126]P3(x1261,x1262)+P6(f15(x1262,x1261),x1262)+P6(f16(x1262,x1261),x1262)+P6(f23(x1262,x1261),x1262)
% 6.80/6.92 [127]P3(x1271,x1272)+P6(f15(x1272,x1271),x1272)+P6(f21(x1272,x1271),x1272)+P6(f20(x1272,x1271),x1272)
% 6.80/6.92 [128]P3(x1281,x1282)+P6(f15(x1282,x1281),x1282)+P6(f21(x1282,x1281),x1282)+P6(f22(x1282,x1281),x1282)
% 6.80/6.92 [129]P3(x1291,x1292)+P6(f15(x1292,x1291),x1292)+P6(f21(x1292,x1291),x1292)+P6(f23(x1292,x1291),x1292)
% 6.80/6.92 [130]P8(x1301,x1302)+P6(f25(x1301,x1302),x1301)+P6(f27(x1301,x1302),x1302)+~E(f29(x1301,x1302),f28(x1301,x1302))
% 6.80/6.92 [131]P8(x1311,x1312)+P6(f27(x1311,x1312),x1312)+P6(f28(x1311,x1312),x1311)+~P7(f25(x1311,x1312),x1312)
% 6.80/6.92 [132]P8(x1321,x1322)+P6(f27(x1321,x1322),x1322)+P6(f29(x1321,x1322),x1321)+~P7(f25(x1321,x1322),x1322)
% 6.80/6.92 [135]P8(x1351,x1352)+P6(f25(x1351,x1352),x1351)+P6(f27(x1351,x1352),x1352)+P6(f7(x1351,x1352),f28(x1351,x1352))
% 6.80/6.92 [136]P8(x1361,x1362)+P6(f25(x1361,x1362),x1361)+P6(f27(x1361,x1362),x1362)+P6(f7(x1361,x1362),f29(x1361,x1362))
% 6.80/6.92 [137]P8(x1371,x1372)+P6(f27(x1371,x1372),x1372)+~E(f29(x1371,x1372),f28(x1371,x1372))+~P7(f25(x1371,x1372),x1372)
% 6.80/6.92 [142]P8(x1421,x1422)+P6(f27(x1421,x1422),x1422)+P6(f7(x1421,x1422),f28(x1421,x1422))+~P7(f25(x1421,x1422),x1422)
% 6.80/6.92 [143]P8(x1431,x1432)+P6(f27(x1431,x1432),x1432)+P6(f7(x1431,x1432),f29(x1431,x1432))+~P7(f25(x1431,x1432),x1432)
% 6.80/6.93 [145]P3(x1451,x1452)+P5(x1451,f16(x1452,x1451),f21(x1452,x1451))+P6(f15(x1452,x1451),x1452)+P6(f20(x1452,x1451),x1452)
% 6.80/6.93 [146]P3(x1461,x1462)+P5(x1461,f16(x1462,x1461),f21(x1462,x1461))+P6(f15(x1462,x1461),x1462)+P6(f22(x1462,x1461),x1462)
% 6.80/6.93 [147]P3(x1471,x1472)+P5(x1471,f16(x1472,x1471),f21(x1472,x1471))+P6(f15(x1472,x1471),x1472)+P6(f23(x1472,x1471),x1472)
% 6.80/6.93 [148]P3(x1481,x1482)+P5(x1481,f20(x1482,x1481),f22(x1482,x1481))+P6(f15(x1482,x1481),x1482)+P6(f16(x1482,x1481),x1482)
% 6.80/6.93 [149]P3(x1491,x1492)+P5(x1491,f22(x1492,x1491),f23(x1492,x1491))+P6(f15(x1492,x1491),x1492)+P6(f16(x1492,x1491),x1492)
% 6.80/6.93 [150]P3(x1501,x1502)+P5(x1501,f20(x1502,x1501),f22(x1502,x1501))+P6(f15(x1502,x1501),x1502)+P6(f21(x1502,x1501),x1502)
% 6.80/6.93 [151]P3(x1511,x1512)+P5(x1511,f22(x1512,x1511),f23(x1512,x1511))+P6(f15(x1512,x1511),x1512)+P6(f21(x1512,x1511),x1512)
% 6.80/6.93 [167]P3(x1671,x1672)+~P5(x1671,f21(x1672,x1671),f16(x1672,x1671))+P6(f15(x1672,x1671),x1672)+P6(f20(x1672,x1671),x1672)
% 6.80/6.93 [168]P3(x1681,x1682)+~P5(x1681,f21(x1682,x1681),f16(x1682,x1681))+P6(f15(x1682,x1681),x1682)+P6(f22(x1682,x1681),x1682)
% 6.80/6.93 [169]P3(x1691,x1692)+~P5(x1691,f21(x1692,x1691),f16(x1692,x1691))+P6(f15(x1692,x1691),x1692)+P6(f23(x1692,x1691),x1692)
% 6.80/6.93 [170]P3(x1701,x1702)+~P5(x1701,f15(x1702,x1701),f15(x1702,x1701))+P6(f16(x1702,x1701),x1702)+P6(f20(x1702,x1701),x1702)
% 6.80/6.93 [171]P3(x1711,x1712)+~P5(x1711,f15(x1712,x1711),f15(x1712,x1711))+P6(f16(x1712,x1711),x1712)+P6(f22(x1712,x1711),x1712)
% 6.80/6.93 [172]P3(x1721,x1722)+~P5(x1721,f15(x1722,x1721),f15(x1722,x1721))+P6(f16(x1722,x1721),x1722)+P6(f23(x1722,x1721),x1722)
% 6.80/6.93 [173]P3(x1731,x1732)+~P5(x1731,f15(x1732,x1731),f15(x1732,x1731))+P6(f21(x1732,x1731),x1732)+P6(f20(x1732,x1731),x1732)
% 6.80/6.93 [174]P3(x1741,x1742)+~P5(x1741,f15(x1742,x1741),f15(x1742,x1741))+P6(f21(x1742,x1741),x1742)+P6(f22(x1742,x1741),x1742)
% 6.80/6.93 [175]P3(x1751,x1752)+~P5(x1751,f15(x1752,x1751),f15(x1752,x1751))+P6(f21(x1752,x1751),x1752)+P6(f23(x1752,x1751),x1752)
% 6.80/6.93 [176]P3(x1761,x1762)+~P5(x1761,f20(x1762,x1761),f23(x1762,x1761))+P6(f15(x1762,x1761),x1762)+P6(f16(x1762,x1761),x1762)
% 6.80/6.93 [177]P3(x1771,x1772)+~P5(x1771,f20(x1772,x1771),f23(x1772,x1771))+P6(f15(x1772,x1771),x1772)+P6(f21(x1772,x1771),x1772)
% 6.80/6.93 [178]P3(x1781,x1782)+P5(x1781,f16(x1782,x1781),f21(x1782,x1781))+P5(x1781,f20(x1782,x1781),f22(x1782,x1781))+P6(f15(x1782,x1781),x1782)
% 6.80/6.93 [179]P3(x1791,x1792)+P5(x1791,f16(x1792,x1791),f21(x1792,x1791))+P5(x1791,f22(x1792,x1791),f23(x1792,x1791))+P6(f15(x1792,x1791),x1792)
% 6.80/6.93 [184]P3(x1841,x1842)+P5(x1841,f16(x1842,x1841),f21(x1842,x1841))+~P5(x1841,f15(x1842,x1841),f15(x1842,x1841))+P6(f20(x1842,x1841),x1842)
% 6.80/6.93 [185]P3(x1851,x1852)+P5(x1851,f16(x1852,x1851),f21(x1852,x1851))+~P5(x1851,f15(x1852,x1851),f15(x1852,x1851))+P6(f22(x1852,x1851),x1852)
% 6.80/6.93 [186]P3(x1861,x1862)+P5(x1861,f16(x1862,x1861),f21(x1862,x1861))+~P5(x1861,f15(x1862,x1861),f15(x1862,x1861))+P6(f23(x1862,x1861),x1862)
% 6.80/6.93 [187]P3(x1871,x1872)+P5(x1871,f16(x1872,x1871),f21(x1872,x1871))+~P5(x1871,f20(x1872,x1871),f23(x1872,x1871))+P6(f15(x1872,x1871),x1872)
% 6.80/6.93 [188]P3(x1881,x1882)+P5(x1881,f20(x1882,x1881),f22(x1882,x1881))+~P5(x1881,f21(x1882,x1881),f16(x1882,x1881))+P6(f15(x1882,x1881),x1882)
% 6.80/6.93 [189]P3(x1891,x1892)+P5(x1891,f22(x1892,x1891),f23(x1892,x1891))+~P5(x1891,f21(x1892,x1891),f16(x1892,x1891))+P6(f15(x1892,x1891),x1892)
% 6.80/6.93 [190]P3(x1901,x1902)+P5(x1901,f20(x1902,x1901),f22(x1902,x1901))+~P5(x1901,f15(x1902,x1901),f15(x1902,x1901))+P6(f16(x1902,x1901),x1902)
% 6.80/6.93 [191]P3(x1911,x1912)+P5(x1911,f22(x1912,x1911),f23(x1912,x1911))+~P5(x1911,f15(x1912,x1911),f15(x1912,x1911))+P6(f16(x1912,x1911),x1912)
% 6.80/6.93 [192]P3(x1921,x1922)+P5(x1921,f20(x1922,x1921),f22(x1922,x1921))+~P5(x1921,f15(x1922,x1921),f15(x1922,x1921))+P6(f21(x1922,x1921),x1922)
% 6.80/6.93 [193]P3(x1931,x1932)+P5(x1931,f22(x1932,x1931),f23(x1932,x1931))+~P5(x1931,f15(x1932,x1931),f15(x1932,x1931))+P6(f21(x1932,x1931),x1932)
% 6.80/6.93 [195]P3(x1951,x1952)+~P5(x1951,f15(x1952,x1951),f15(x1952,x1951))+~P5(x1951,f21(x1952,x1951),f16(x1952,x1951))+P6(f20(x1952,x1951),x1952)
% 6.80/6.93 [196]P3(x1961,x1962)+~P5(x1961,f15(x1962,x1961),f15(x1962,x1961))+~P5(x1961,f21(x1962,x1961),f16(x1962,x1961))+P6(f22(x1962,x1961),x1962)
% 6.80/6.93 [197]P3(x1971,x1972)+~P5(x1971,f15(x1972,x1971),f15(x1972,x1971))+~P5(x1971,f21(x1972,x1971),f16(x1972,x1971))+P6(f23(x1972,x1971),x1972)
% 6.80/6.93 [198]P3(x1981,x1982)+~P5(x1981,f21(x1982,x1981),f16(x1982,x1981))+~P5(x1981,f20(x1982,x1981),f23(x1982,x1981))+P6(f15(x1982,x1981),x1982)
% 6.80/6.93 [199]P3(x1991,x1992)+~P5(x1991,f15(x1992,x1991),f15(x1992,x1991))+~P5(x1991,f20(x1992,x1991),f23(x1992,x1991))+P6(f16(x1992,x1991),x1992)
% 6.80/6.93 [200]P3(x2001,x2002)+~P5(x2001,f15(x2002,x2001),f15(x2002,x2001))+~P5(x2001,f20(x2002,x2001),f23(x2002,x2001))+P6(f21(x2002,x2001),x2002)
% 6.80/6.93 [201]P3(x2011,x2012)+P5(x2011,f16(x2012,x2011),f21(x2012,x2011))+P5(x2011,f20(x2012,x2011),f22(x2012,x2011))+~P5(x2011,f15(x2012,x2011),f15(x2012,x2011))
% 6.80/6.93 [202]P3(x2021,x2022)+P5(x2021,f16(x2022,x2021),f21(x2022,x2021))+P5(x2021,f22(x2022,x2021),f23(x2022,x2021))+~P5(x2021,f15(x2022,x2021),f15(x2022,x2021))
% 6.80/6.93 [203]P3(x2031,x2032)+P5(x2031,f16(x2032,x2031),f21(x2032,x2031))+~P5(x2031,f15(x2032,x2031),f15(x2032,x2031))+~P5(x2031,f20(x2032,x2031),f23(x2032,x2031))
% 6.80/6.93 [204]P3(x2041,x2042)+P5(x2041,f20(x2042,x2041),f22(x2042,x2041))+~P5(x2041,f15(x2042,x2041),f15(x2042,x2041))+~P5(x2041,f21(x2042,x2041),f16(x2042,x2041))
% 6.80/6.93 [205]P3(x2051,x2052)+P5(x2051,f22(x2052,x2051),f23(x2052,x2051))+~P5(x2051,f15(x2052,x2051),f15(x2052,x2051))+~P5(x2051,f21(x2052,x2051),f16(x2052,x2051))
% 6.80/6.93 [206]P3(x2061,x2062)+~P5(x2061,f15(x2062,x2061),f15(x2062,x2061))+~P5(x2061,f21(x2062,x2061),f16(x2062,x2061))+~P5(x2061,f20(x2062,x2061),f23(x2062,x2061))
% 6.80/6.93 [140]P8(x1401,x1402)+~P6(x1403,x1401)+P6(f25(x1401,x1402),x1401)+P6(f28(x1401,x1402),x1401)+~P6(f27(x1401,x1402),x1403)
% 6.80/6.93 [141]P8(x1411,x1412)+~P6(x1413,x1411)+P6(f25(x1411,x1412),x1411)+P6(f29(x1411,x1412),x1411)+~P6(f27(x1411,x1412),x1413)
% 6.80/6.93 [144]P8(x1441,x1442)+~P6(x1443,x1441)+P6(f25(x1441,x1442),x1441)+~E(f29(x1441,x1442),f28(x1441,x1442))+~P6(f27(x1441,x1442),x1443)
% 6.80/6.93 [152]P8(x1521,x1522)+~P6(x1523,x1521)+P6(f28(x1521,x1522),x1521)+~P7(f25(x1521,x1522),x1522)+~P6(f27(x1521,x1522),x1523)
% 6.80/6.93 [153]P8(x1531,x1532)+~P6(x1533,x1531)+P6(f29(x1531,x1532),x1531)+~P7(f25(x1531,x1532),x1532)+~P6(f27(x1531,x1532),x1533)
% 6.80/6.93 [155]P8(x1551,x1552)+~P6(x1553,x1551)+P6(f25(x1551,x1552),x1551)+P6(f7(x1551,x1552),f28(x1551,x1552))+~P6(f27(x1551,x1552),x1553)
% 6.80/6.93 [156]P8(x1561,x1562)+~P6(x1563,x1561)+P6(f25(x1561,x1562),x1561)+P6(f7(x1561,x1562),f29(x1561,x1562))+~P6(f27(x1561,x1562),x1563)
% 6.80/6.93 [157]P8(x1571,x1572)+~P6(x1573,x1571)+~E(f29(x1571,x1572),f28(x1571,x1572))+~P7(f25(x1571,x1572),x1572)+~P6(f27(x1571,x1572),x1573)
% 6.80/6.93 [164]P8(x1641,x1642)+~P6(x1643,x1641)+P6(f7(x1641,x1642),f28(x1641,x1642))+~P7(f25(x1641,x1642),x1642)+~P6(f27(x1641,x1642),x1643)
% 6.80/6.93 [165]P8(x1651,x1652)+~P6(x1653,x1651)+P6(f7(x1651,x1652),f29(x1651,x1652))+~P7(f25(x1651,x1652),x1652)+~P6(f27(x1651,x1652),x1653)
% 6.80/6.93 [158]~P6(x1583,x1584)+~P3(x1581,x1584)+~P5(x1581,x1583,x1582)+P5(x1581,x1582,x1583)+~P6(x1582,x1584)
% 6.80/6.93 [121]~P6(x1213,x1211)+~P6(x1211,x1214)+E(x1211,x1212)+~P6(x1213,x1212)+~P6(x1212,x1214)+~P8(x1214,x1215)
% 6.80/6.93 [182]~P6(x1822,x1824)+~P9(x1821,x1824)+~P5(x1821,x1825,x1823)+~P5(x1821,x1822,x1825)+P5(x1821,x1822,x1823)+~P6(x1823,x1824)+~P6(x1825,x1824)
% 6.80/6.93 [183]~P6(x1832,x1834)+~P3(x1831,x1834)+~P5(x1831,x1835,x1833)+~P5(x1831,x1832,x1835)+P5(x1831,x1832,x1833)+~P6(x1833,x1834)+~P6(x1835,x1834)
% 6.80/6.93 %EqnAxiom
% 6.80/6.93 [1]E(x11,x11)
% 6.80/6.93 [2]E(x22,x21)+~E(x21,x22)
% 6.80/6.93 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 6.80/6.93 [4]~E(x41,x42)+E(f5(x41,x43,x44),f5(x42,x43,x44))
% 6.80/6.93 [5]~E(x51,x52)+E(f5(x53,x51,x54),f5(x53,x52,x54))
% 6.80/6.93 [6]~E(x61,x62)+E(f5(x63,x64,x61),f5(x63,x64,x62))
% 6.80/6.93 [7]~E(x71,x72)+E(f12(x71),f12(x72))
% 6.80/6.93 [8]~E(x81,x82)+E(f21(x81,x83),f21(x82,x83))
% 6.80/6.93 [9]~E(x91,x92)+E(f21(x93,x91),f21(x93,x92))
% 6.80/6.93 [10]~E(x101,x102)+E(f13(x101),f13(x102))
% 6.80/6.93 [11]~E(x111,x112)+E(f31(x111,x113),f31(x112,x113))
% 6.80/6.93 [12]~E(x121,x122)+E(f31(x123,x121),f31(x123,x122))
% 6.80/6.93 [13]~E(x131,x132)+E(f15(x131,x133),f15(x132,x133))
% 6.80/6.93 [14]~E(x141,x142)+E(f15(x143,x141),f15(x143,x142))
% 6.80/6.93 [15]~E(x151,x152)+E(f20(x151,x153),f20(x152,x153))
% 6.80/6.93 [16]~E(x161,x162)+E(f20(x163,x161),f20(x163,x162))
% 6.80/6.93 [17]~E(x171,x172)+E(f14(x171,x173),f14(x172,x173))
% 6.80/6.93 [18]~E(x181,x182)+E(f14(x183,x181),f14(x183,x182))
% 6.80/6.93 [19]~E(x191,x192)+E(f17(x191,x193),f17(x192,x193))
% 6.80/6.93 [20]~E(x201,x202)+E(f17(x203,x201),f17(x203,x202))
% 6.80/6.93 [21]~E(x211,x212)+E(f22(x211,x213),f22(x212,x213))
% 6.80/6.93 [22]~E(x221,x222)+E(f22(x223,x221),f22(x223,x222))
% 6.80/6.93 [23]~E(x231,x232)+E(f30(x231),f30(x232))
% 6.80/6.93 [24]~E(x241,x242)+E(f18(x241,x243),f18(x242,x243))
% 6.80/6.93 [25]~E(x251,x252)+E(f18(x253,x251),f18(x253,x252))
% 6.80/6.93 [26]~E(x261,x262)+E(f32(x261,x263),f32(x262,x263))
% 6.80/6.93 [27]~E(x271,x272)+E(f32(x273,x271),f32(x273,x272))
% 6.80/6.93 [28]~E(x281,x282)+E(f8(x281,x283),f8(x282,x283))
% 6.80/6.93 [29]~E(x291,x292)+E(f8(x293,x291),f8(x293,x292))
% 6.80/6.93 [30]~E(x301,x302)+E(f33(x301),f33(x302))
% 6.80/6.93 [31]~E(x311,x312)+E(f23(x311,x313),f23(x312,x313))
% 6.80/6.93 [32]~E(x321,x322)+E(f23(x323,x321),f23(x323,x322))
% 6.80/6.93 [33]~E(x331,x332)+E(f16(x331,x333),f16(x332,x333))
% 6.80/6.93 [34]~E(x341,x342)+E(f16(x343,x341),f16(x343,x342))
% 6.80/6.93 [35]~E(x351,x352)+E(f19(x351,x353),f19(x352,x353))
% 6.80/6.93 [36]~E(x361,x362)+E(f19(x363,x361),f19(x363,x362))
% 6.80/6.93 [37]~E(x371,x372)+E(f6(x371,x373),f6(x372,x373))
% 6.80/6.93 [38]~E(x381,x382)+E(f6(x383,x381),f6(x383,x382))
% 6.80/6.93 [39]~E(x391,x392)+E(f10(x391,x393),f10(x392,x393))
% 6.80/6.93 [40]~E(x401,x402)+E(f10(x403,x401),f10(x403,x402))
% 6.80/6.93 [41]~E(x411,x412)+E(f9(x411,x413),f9(x412,x413))
% 6.80/6.93 [42]~E(x421,x422)+E(f9(x423,x421),f9(x423,x422))
% 6.80/6.93 [43]~E(x431,x432)+E(f4(x431,x433),f4(x432,x433))
% 6.80/6.93 [44]~E(x441,x442)+E(f4(x443,x441),f4(x443,x442))
% 6.80/6.93 [45]~E(x451,x452)+E(f24(x451,x453),f24(x452,x453))
% 6.80/6.93 [46]~E(x461,x462)+E(f24(x463,x461),f24(x463,x462))
% 6.80/6.93 [47]~E(x471,x472)+E(f7(x471,x473),f7(x472,x473))
% 6.80/6.93 [48]~E(x481,x482)+E(f7(x483,x481),f7(x483,x482))
% 6.80/6.93 [49]~E(x491,x492)+E(f25(x491,x493),f25(x492,x493))
% 6.80/6.93 [50]~E(x501,x502)+E(f25(x503,x501),f25(x503,x502))
% 6.80/6.93 [51]~E(x511,x512)+E(f26(x511,x513,x514),f26(x512,x513,x514))
% 6.80/6.93 [52]~E(x521,x522)+E(f26(x523,x521,x524),f26(x523,x522,x524))
% 6.80/6.93 [53]~E(x531,x532)+E(f26(x533,x534,x531),f26(x533,x534,x532))
% 6.80/6.93 [54]~E(x541,x542)+E(f28(x541,x543),f28(x542,x543))
% 6.80/6.93 [55]~E(x551,x552)+E(f28(x553,x551),f28(x553,x552))
% 6.80/6.93 [56]~E(x561,x562)+E(f27(x561,x563),f27(x562,x563))
% 6.80/6.93 [57]~E(x571,x572)+E(f27(x573,x571),f27(x573,x572))
% 6.80/6.93 [58]~E(x581,x582)+E(f29(x581,x583),f29(x582,x583))
% 6.80/6.93 [59]~E(x591,x592)+E(f29(x593,x591),f29(x593,x592))
% 6.80/6.93 [60]P1(x602,x603)+~E(x601,x602)+~P1(x601,x603)
% 6.80/6.93 [61]P1(x613,x612)+~E(x611,x612)+~P1(x613,x611)
% 6.80/6.93 [62]P6(x622,x623)+~E(x621,x622)+~P6(x621,x623)
% 6.80/6.93 [63]P6(x633,x632)+~E(x631,x632)+~P6(x633,x631)
% 6.80/6.93 [64]P7(x642,x643)+~E(x641,x642)+~P7(x641,x643)
% 6.80/6.93 [65]P7(x653,x652)+~E(x651,x652)+~P7(x653,x651)
% 6.80/6.93 [66]P5(x662,x663,x664)+~E(x661,x662)+~P5(x661,x663,x664)
% 6.80/6.93 [67]P5(x673,x672,x674)+~E(x671,x672)+~P5(x673,x671,x674)
% 6.80/6.93 [68]P5(x683,x684,x682)+~E(x681,x682)+~P5(x683,x684,x681)
% 6.80/6.93 [69]P3(x692,x693)+~E(x691,x692)+~P3(x691,x693)
% 6.80/6.93 [70]P3(x703,x702)+~E(x701,x702)+~P3(x703,x701)
% 6.80/6.93 [71]P8(x712,x713)+~E(x711,x712)+~P8(x711,x713)
% 6.80/6.93 [72]P8(x723,x722)+~E(x721,x722)+~P8(x723,x721)
% 6.80/6.93 [73]P2(x732,x733)+~E(x731,x732)+~P2(x731,x733)
% 6.80/6.93 [74]P2(x743,x742)+~E(x741,x742)+~P2(x743,x741)
% 6.80/6.93 [75]P4(x752,x753)+~E(x751,x752)+~P4(x751,x753)
% 6.80/6.93 [76]P4(x763,x762)+~E(x761,x762)+~P4(x763,x761)
% 6.80/6.93 [77]P9(x772,x773)+~E(x771,x772)+~P9(x771,x773)
% 6.80/6.93 [78]P9(x783,x782)+~E(x781,x782)+~P9(x783,x781)
% 6.80/6.93
% 6.80/6.93 %-------------------------------------------
% 6.80/6.93 cnf(2276,plain,
% 6.80/6.93 (~P6(f14(f5(a11,a2,a1),a2),f5(x22761,a2,x22762))),
% 6.80/6.93 inference(scs_inference,[],[81,154,111])).
% 6.80/6.93 cnf(2277,plain,
% 6.80/6.93 ($false),
% 6.80/6.93 inference(scs_inference,[],[81,2276,92]),
% 6.80/6.93 ['proof']).
% 6.80/6.93 % SZS output end Proof
% 6.80/6.93 % Total time :6.170000s
%------------------------------------------------------------------------------