TSTP Solution File: SET766+4 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET766+4 : TPTP v8.1.2. Released v2.2.0.
% 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 14:30:58 EDT 2023
% Result : Theorem 0.14s 0.66s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET766+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.09/0.30 % Computer : n008.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Sat Aug 26 11:25:47 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.14/0.50 start to proof:theBenchmark
% 0.14/0.65 %-------------------------------------------
% 0.14/0.65 % File :CSE---1.6
% 0.14/0.65 % Problem :theBenchmark
% 0.14/0.65 % Transform :cnf
% 0.14/0.65 % Format :tptp:raw
% 0.14/0.65 % Command :java -jar mcs_scs.jar %d %s
% 0.14/0.65
% 0.14/0.65 % Result :Theorem 0.060000s
% 0.14/0.65 % Output :CNFRefutation 0.060000s
% 0.14/0.65 %-------------------------------------------
% 0.14/0.66 %--------------------------------------------------------------------------
% 0.14/0.66 % File : SET766+4 : TPTP v8.1.2. Released v2.2.0.
% 0.14/0.66 % Domain : Set Theory (Equivalence relations)
% 0.14/0.66 % Problem : A member belongs to its equivalence class
% 0.14/0.66 % Version : [Pas99] axioms.
% 0.14/0.66 % English :
% 0.14/0.66
% 0.14/0.66 % Refs : [Pas99] Pastre (1999), Email to G. Sutcliffe
% 0.14/0.66 % Source : [Pas99]
% 0.14/0.66 % Names :
% 0.14/0.66
% 0.14/0.66 % Status : Theorem
% 0.14/0.66 % Rating : 0.08 v8.1.0, 0.06 v7.4.0, 0.10 v7.3.0, 0.07 v7.1.0, 0.13 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.17 v6.2.0, 0.12 v6.1.0, 0.10 v6.0.0, 0.13 v5.5.0, 0.07 v5.3.0, 0.15 v5.2.0, 0.10 v5.0.0, 0.12 v4.1.0, 0.13 v4.0.0, 0.17 v3.7.0, 0.20 v3.5.0, 0.16 v3.4.0, 0.11 v3.3.0, 0.00 v2.2.1
% 0.14/0.66 % Syntax : Number of formulae : 17 ( 1 unt; 0 def)
% 0.14/0.66 % Number of atoms : 71 ( 4 equ)
% 0.14/0.66 % Maximal formula atoms : 13 ( 4 avg)
% 0.14/0.66 % Number of connectives : 57 ( 3 ~; 2 |; 22 &)
% 0.14/0.66 % ( 15 <=>; 15 =>; 0 <=; 0 <~>)
% 0.14/0.66 % Maximal formula depth : 12 ( 7 avg)
% 0.14/0.66 % Maximal term depth : 2 ( 1 avg)
% 0.14/0.66 % Number of predicates : 9 ( 8 usr; 0 prp; 2-3 aty)
% 0.14/0.66 % Number of functors : 10 ( 10 usr; 1 con; 0-3 aty)
% 0.14/0.66 % Number of variables : 60 ( 56 !; 4 ?)
% 0.14/0.66 % SPC : FOF_THM_RFO_SEQ
% 0.14/0.66
% 0.14/0.66 % Comments :
% 0.14/0.66 %--------------------------------------------------------------------------
% 0.14/0.66 %----Include set theory definitions
% 0.14/0.66 include('Axioms/SET006+0.ax').
% 0.14/0.66 %----Include equivalence relation axioms
% 0.14/0.66 include('Axioms/SET006+2.ax').
% 0.14/0.66 %--------------------------------------------------------------------------
% 0.14/0.66 fof(thIII02,conjecture,
% 0.14/0.66 ! [E,R,A] :
% 0.14/0.66 ( ( equivalence(R,E)
% 0.14/0.66 & member(A,E) )
% 0.14/0.66 => member(A,equivalence_class(A,E,R)) ) ).
% 0.14/0.66
% 0.14/0.66 %--------------------------------------------------------------------------
% 0.14/0.66 %-------------------------------------------
% 0.14/0.66 % Proof found
% 0.14/0.66 % SZS status Theorem for theBenchmark
% 0.14/0.66 % SZS output start Proof
% 0.14/0.66 %ClaNum:207(EqnAxiom:78)
% 0.14/0.66 %VarNum:1331(SingletonVarNum:299)
% 0.14/0.66 %MaxLitNum:7
% 0.14/0.66 %MaxfuncDepth:1
% 0.14/0.66 %SharedTerms:8
% 0.14/0.66 %goalClause: 79 80 82
% 0.14/0.66 %singleGoalClaCount:3
% 0.14/0.66 [79]P1(a1,a2)
% 0.14/0.66 [80]P2(a11,a2)
% 0.14/0.66 [82]~P1(a1,f5(a1,a2,a11))
% 0.14/0.66 [81]~P1(x811,a3)
% 0.14/0.66 [85]~P3(x852,x851)+P7(x851,x852)
% 0.14/0.66 [86]~P3(x861,x862)+P7(x861,x862)
% 0.14/0.66 [87]~P4(x871,x872)+P2(x871,x872)
% 0.14/0.66 [88]~P2(x881,x882)+P4(x881,x882)
% 0.14/0.66 [83]~E(x831,x832)+P1(x831,f12(x832))
% 0.14/0.66 [84]E(x841,x842)+~P1(x841,f12(x842))
% 0.14/0.66 [89]~P7(x891,x892)+P1(x891,f13(x892))
% 0.14/0.66 [92]P7(x921,x922)+~P1(x921,f13(x922))
% 0.14/0.66 [93]P7(x931,x932)+P1(f14(x931,x932),x931)
% 0.14/0.66 [94]P5(x941,x942)+P1(f17(x941,x942),x942)
% 0.14/0.66 [95]P5(x951,x952)+P1(f17(x951,x952),x951)
% 0.14/0.66 [99]P1(f18(x991,x992),x992)+P1(x991,f30(x992))
% 0.14/0.66 [106]~P1(x1061,f33(x1062))+P1(x1061,f19(x1061,x1062))
% 0.14/0.66 [107]~P1(x1071,f33(x1072))+P1(f19(x1071,x1072),x1072)
% 0.14/0.66 [112]P7(x1121,x1122)+~P1(f14(x1121,x1122),x1122)
% 0.14/0.66 [113]~P1(x1131,f18(x1131,x1132))+P1(x1131,f30(x1132))
% 0.14/0.66 [90]~E(x901,x903)+P1(x901,f31(x902,x903))
% 0.14/0.66 [91]~E(x911,x912)+P1(x911,f31(x912,x913))
% 0.14/0.66 [100]~P1(x1001,x1003)+P1(x1001,f32(x1002,x1003))
% 0.14/0.66 [101]~P1(x1011,x1012)+P1(x1011,f32(x1012,x1013))
% 0.14/0.66 [109]P1(x1091,x1092)+~P1(x1091,f24(x1093,x1092))
% 0.14/0.66 [110]P1(x1101,x1102)+~P1(x1101,f24(x1102,x1103))
% 0.14/0.66 [111]P1(x1111,x1112)+~P1(x1111,f4(x1112,x1113))
% 0.14/0.66 [115]~P1(x1151,x1152)+~P1(x1151,f4(x1153,x1152))
% 0.14/0.66 [155]P1(x1551,x1552)+~P1(x1551,f5(x1553,x1552,x1554))
% 0.14/0.66 [167]P6(x1671,x1672,x1673)+~P1(x1673,f5(x1672,x1674,x1671))
% 0.14/0.66 [98]~P7(x982,x981)+~P7(x981,x982)+P3(x981,x982)
% 0.14/0.66 [117]P9(x1171,x1172)+P1(f6(x1171,x1172),x1172)+P1(f8(x1171,x1172),x1172)
% 0.14/0.66 [118]P9(x1181,x1182)+P1(f6(x1181,x1182),x1182)+P1(f9(x1181,x1182),x1182)
% 0.14/0.66 [119]P9(x1191,x1192)+P1(f6(x1191,x1192),x1192)+P1(f10(x1191,x1192),x1192)
% 0.14/0.66 [134]P9(x1341,x1342)+P6(x1341,f8(x1341,x1342),f9(x1341,x1342))+P1(f6(x1341,x1342),x1342)
% 0.14/0.66 [135]P9(x1351,x1352)+P6(x1351,f9(x1351,x1352),f10(x1351,x1352))+P1(f6(x1351,x1352),x1352)
% 0.14/0.66 [160]P9(x1601,x1602)+~P6(x1601,f8(x1601,x1602),f10(x1601,x1602))+P1(f6(x1601,x1602),x1602)
% 0.14/0.66 [161]P9(x1611,x1612)+~P6(x1611,f6(x1611,x1612),f6(x1611,x1612))+P1(f8(x1611,x1612),x1612)
% 0.14/0.66 [162]P9(x1621,x1622)+~P6(x1621,f6(x1621,x1622),f6(x1621,x1622))+P1(f9(x1621,x1622),x1622)
% 0.14/0.66 [163]P9(x1631,x1632)+~P6(x1631,f6(x1631,x1632),f6(x1631,x1632))+P1(f10(x1631,x1632),x1632)
% 0.14/0.66 [181]P9(x1811,x1812)+P6(x1811,f8(x1811,x1812),f9(x1811,x1812))+~P6(x1811,f6(x1811,x1812),f6(x1811,x1812))
% 0.14/0.66 [182]P9(x1821,x1822)+P6(x1821,f9(x1821,x1822),f10(x1821,x1822))+~P6(x1821,f6(x1821,x1822),f6(x1821,x1822))
% 0.14/0.66 [195]P9(x1951,x1952)+~P6(x1951,f6(x1951,x1952),f6(x1951,x1952))+~P6(x1951,f8(x1951,x1952),f10(x1951,x1952))
% 0.14/0.66 [96]~P8(x963,x962)+P7(x961,x962)+~P1(x961,x963)
% 0.14/0.66 [97]~P1(x971,x973)+P1(x971,x972)+~P7(x973,x972)
% 0.14/0.66 [104]~P5(x1043,x1042)+~P1(x1041,x1042)+~P1(x1041,x1043)
% 0.14/0.66 [120]~P9(x1201,x1203)+P6(x1201,x1202,x1202)+~P1(x1202,x1203)
% 0.14/0.66 [121]~P4(x1211,x1213)+P6(x1211,x1212,x1212)+~P1(x1212,x1213)
% 0.14/0.66 [102]~P1(x1023,x1022)+~P1(x1021,x1023)+P1(x1021,f33(x1022))
% 0.14/0.66 [103]E(x1031,x1032)+E(x1031,x1033)+~P1(x1031,f31(x1033,x1032))
% 0.14/0.66 [105]P1(x1051,x1052)+~P1(x1052,x1053)+~P1(x1051,f30(x1053))
% 0.14/0.66 [108]~P1(x1081,x1083)+P1(x1081,x1082)+P1(x1081,f4(x1083,x1082))
% 0.14/0.66 [114]~P1(x1141,x1143)+~P1(x1141,x1142)+P1(x1141,f24(x1142,x1143))
% 0.14/0.66 [116]P1(x1161,x1162)+P1(x1161,x1163)+~P1(x1161,f32(x1163,x1162))
% 0.14/0.66 [139]~P1(x1391,x1393)+~P8(x1392,x1393)+P1(x1391,f26(x1392,x1393,x1391))
% 0.14/0.66 [140]~P1(x1403,x1402)+~P8(x1401,x1402)+P1(f26(x1401,x1402,x1403),x1401)
% 0.14/0.66 [164]~P1(x1641,x1643)+~P6(x1644,x1642,x1641)+P1(x1641,f5(x1642,x1643,x1644))
% 0.14/0.66 [123]P8(x1231,x1232)+P1(f25(x1231,x1232),x1231)+P1(f27(x1231,x1232),x1232)+P1(f28(x1231,x1232),x1231)
% 0.14/0.66 [124]P8(x1241,x1242)+P1(f25(x1241,x1242),x1241)+P1(f27(x1241,x1242),x1242)+P1(f29(x1241,x1242),x1241)
% 0.14/0.66 [125]P4(x1251,x1252)+P1(f15(x1252,x1251),x1252)+P1(f16(x1252,x1251),x1252)+P1(f20(x1252,x1251),x1252)
% 0.14/0.66 [126]P4(x1261,x1262)+P1(f15(x1262,x1261),x1262)+P1(f16(x1262,x1261),x1262)+P1(f22(x1262,x1261),x1262)
% 0.14/0.66 [127]P4(x1271,x1272)+P1(f15(x1272,x1271),x1272)+P1(f16(x1272,x1271),x1272)+P1(f23(x1272,x1271),x1272)
% 0.14/0.66 [128]P4(x1281,x1282)+P1(f15(x1282,x1281),x1282)+P1(f21(x1282,x1281),x1282)+P1(f20(x1282,x1281),x1282)
% 0.14/0.66 [129]P4(x1291,x1292)+P1(f15(x1292,x1291),x1292)+P1(f21(x1292,x1291),x1292)+P1(f22(x1292,x1291),x1292)
% 0.14/0.66 [130]P4(x1301,x1302)+P1(f15(x1302,x1301),x1302)+P1(f21(x1302,x1301),x1302)+P1(f23(x1302,x1301),x1302)
% 0.14/0.66 [131]P8(x1311,x1312)+P1(f25(x1311,x1312),x1311)+P1(f27(x1311,x1312),x1312)+~E(f29(x1311,x1312),f28(x1311,x1312))
% 0.14/0.66 [132]P8(x1321,x1322)+P1(f27(x1321,x1322),x1322)+P1(f28(x1321,x1322),x1321)+~P7(f25(x1321,x1322),x1322)
% 0.14/0.66 [133]P8(x1331,x1332)+P1(f27(x1331,x1332),x1332)+P1(f29(x1331,x1332),x1331)+~P7(f25(x1331,x1332),x1332)
% 0.14/0.66 [136]P8(x1361,x1362)+P1(f25(x1361,x1362),x1361)+P1(f27(x1361,x1362),x1362)+P1(f7(x1361,x1362),f28(x1361,x1362))
% 0.14/0.66 [137]P8(x1371,x1372)+P1(f25(x1371,x1372),x1371)+P1(f27(x1371,x1372),x1372)+P1(f7(x1371,x1372),f29(x1371,x1372))
% 0.14/0.66 [138]P8(x1381,x1382)+P1(f27(x1381,x1382),x1382)+~E(f29(x1381,x1382),f28(x1381,x1382))+~P7(f25(x1381,x1382),x1382)
% 0.14/0.66 [143]P8(x1431,x1432)+P1(f27(x1431,x1432),x1432)+P1(f7(x1431,x1432),f28(x1431,x1432))+~P7(f25(x1431,x1432),x1432)
% 0.14/0.66 [144]P8(x1441,x1442)+P1(f27(x1441,x1442),x1442)+P1(f7(x1441,x1442),f29(x1441,x1442))+~P7(f25(x1441,x1442),x1442)
% 0.14/0.66 [146]P4(x1461,x1462)+P6(x1461,f16(x1462,x1461),f21(x1462,x1461))+P1(f15(x1462,x1461),x1462)+P1(f20(x1462,x1461),x1462)
% 0.14/0.66 [147]P4(x1471,x1472)+P6(x1471,f16(x1472,x1471),f21(x1472,x1471))+P1(f15(x1472,x1471),x1472)+P1(f22(x1472,x1471),x1472)
% 0.14/0.66 [148]P4(x1481,x1482)+P6(x1481,f16(x1482,x1481),f21(x1482,x1481))+P1(f15(x1482,x1481),x1482)+P1(f23(x1482,x1481),x1482)
% 0.14/0.66 [149]P4(x1491,x1492)+P6(x1491,f20(x1492,x1491),f22(x1492,x1491))+P1(f15(x1492,x1491),x1492)+P1(f16(x1492,x1491),x1492)
% 0.14/0.66 [150]P4(x1501,x1502)+P6(x1501,f22(x1502,x1501),f23(x1502,x1501))+P1(f15(x1502,x1501),x1502)+P1(f16(x1502,x1501),x1502)
% 0.14/0.66 [151]P4(x1511,x1512)+P6(x1511,f20(x1512,x1511),f22(x1512,x1511))+P1(f15(x1512,x1511),x1512)+P1(f21(x1512,x1511),x1512)
% 0.14/0.66 [152]P4(x1521,x1522)+P6(x1521,f22(x1522,x1521),f23(x1522,x1521))+P1(f15(x1522,x1521),x1522)+P1(f21(x1522,x1521),x1522)
% 0.14/0.66 [168]P4(x1681,x1682)+~P6(x1681,f21(x1682,x1681),f16(x1682,x1681))+P1(f15(x1682,x1681),x1682)+P1(f20(x1682,x1681),x1682)
% 0.14/0.66 [169]P4(x1691,x1692)+~P6(x1691,f21(x1692,x1691),f16(x1692,x1691))+P1(f15(x1692,x1691),x1692)+P1(f22(x1692,x1691),x1692)
% 0.14/0.66 [170]P4(x1701,x1702)+~P6(x1701,f21(x1702,x1701),f16(x1702,x1701))+P1(f15(x1702,x1701),x1702)+P1(f23(x1702,x1701),x1702)
% 0.14/0.66 [171]P4(x1711,x1712)+~P6(x1711,f15(x1712,x1711),f15(x1712,x1711))+P1(f16(x1712,x1711),x1712)+P1(f20(x1712,x1711),x1712)
% 0.14/0.66 [172]P4(x1721,x1722)+~P6(x1721,f15(x1722,x1721),f15(x1722,x1721))+P1(f16(x1722,x1721),x1722)+P1(f22(x1722,x1721),x1722)
% 0.14/0.66 [173]P4(x1731,x1732)+~P6(x1731,f15(x1732,x1731),f15(x1732,x1731))+P1(f16(x1732,x1731),x1732)+P1(f23(x1732,x1731),x1732)
% 0.14/0.66 [174]P4(x1741,x1742)+~P6(x1741,f15(x1742,x1741),f15(x1742,x1741))+P1(f21(x1742,x1741),x1742)+P1(f20(x1742,x1741),x1742)
% 0.14/0.66 [175]P4(x1751,x1752)+~P6(x1751,f15(x1752,x1751),f15(x1752,x1751))+P1(f21(x1752,x1751),x1752)+P1(f22(x1752,x1751),x1752)
% 0.14/0.66 [176]P4(x1761,x1762)+~P6(x1761,f15(x1762,x1761),f15(x1762,x1761))+P1(f21(x1762,x1761),x1762)+P1(f23(x1762,x1761),x1762)
% 0.14/0.66 [177]P4(x1771,x1772)+~P6(x1771,f20(x1772,x1771),f23(x1772,x1771))+P1(f15(x1772,x1771),x1772)+P1(f16(x1772,x1771),x1772)
% 0.14/0.66 [178]P4(x1781,x1782)+~P6(x1781,f20(x1782,x1781),f23(x1782,x1781))+P1(f15(x1782,x1781),x1782)+P1(f21(x1782,x1781),x1782)
% 0.14/0.66 [179]P4(x1791,x1792)+P6(x1791,f16(x1792,x1791),f21(x1792,x1791))+P6(x1791,f20(x1792,x1791),f22(x1792,x1791))+P1(f15(x1792,x1791),x1792)
% 0.14/0.66 [180]P4(x1801,x1802)+P6(x1801,f16(x1802,x1801),f21(x1802,x1801))+P6(x1801,f22(x1802,x1801),f23(x1802,x1801))+P1(f15(x1802,x1801),x1802)
% 0.14/0.66 [185]P4(x1851,x1852)+P6(x1851,f16(x1852,x1851),f21(x1852,x1851))+~P6(x1851,f15(x1852,x1851),f15(x1852,x1851))+P1(f20(x1852,x1851),x1852)
% 0.14/0.66 [186]P4(x1861,x1862)+P6(x1861,f16(x1862,x1861),f21(x1862,x1861))+~P6(x1861,f15(x1862,x1861),f15(x1862,x1861))+P1(f22(x1862,x1861),x1862)
% 0.14/0.66 [187]P4(x1871,x1872)+P6(x1871,f16(x1872,x1871),f21(x1872,x1871))+~P6(x1871,f15(x1872,x1871),f15(x1872,x1871))+P1(f23(x1872,x1871),x1872)
% 0.14/0.66 [188]P4(x1881,x1882)+P6(x1881,f16(x1882,x1881),f21(x1882,x1881))+~P6(x1881,f20(x1882,x1881),f23(x1882,x1881))+P1(f15(x1882,x1881),x1882)
% 0.14/0.66 [189]P4(x1891,x1892)+P6(x1891,f20(x1892,x1891),f22(x1892,x1891))+~P6(x1891,f21(x1892,x1891),f16(x1892,x1891))+P1(f15(x1892,x1891),x1892)
% 0.14/0.66 [190]P4(x1901,x1902)+P6(x1901,f22(x1902,x1901),f23(x1902,x1901))+~P6(x1901,f21(x1902,x1901),f16(x1902,x1901))+P1(f15(x1902,x1901),x1902)
% 0.14/0.66 [191]P4(x1911,x1912)+P6(x1911,f20(x1912,x1911),f22(x1912,x1911))+~P6(x1911,f15(x1912,x1911),f15(x1912,x1911))+P1(f16(x1912,x1911),x1912)
% 0.14/0.66 [192]P4(x1921,x1922)+P6(x1921,f22(x1922,x1921),f23(x1922,x1921))+~P6(x1921,f15(x1922,x1921),f15(x1922,x1921))+P1(f16(x1922,x1921),x1922)
% 0.14/0.66 [193]P4(x1931,x1932)+P6(x1931,f20(x1932,x1931),f22(x1932,x1931))+~P6(x1931,f15(x1932,x1931),f15(x1932,x1931))+P1(f21(x1932,x1931),x1932)
% 0.14/0.66 [194]P4(x1941,x1942)+P6(x1941,f22(x1942,x1941),f23(x1942,x1941))+~P6(x1941,f15(x1942,x1941),f15(x1942,x1941))+P1(f21(x1942,x1941),x1942)
% 0.14/0.66 [196]P4(x1961,x1962)+~P6(x1961,f15(x1962,x1961),f15(x1962,x1961))+~P6(x1961,f21(x1962,x1961),f16(x1962,x1961))+P1(f20(x1962,x1961),x1962)
% 0.14/0.66 [197]P4(x1971,x1972)+~P6(x1971,f15(x1972,x1971),f15(x1972,x1971))+~P6(x1971,f21(x1972,x1971),f16(x1972,x1971))+P1(f22(x1972,x1971),x1972)
% 0.14/0.66 [198]P4(x1981,x1982)+~P6(x1981,f15(x1982,x1981),f15(x1982,x1981))+~P6(x1981,f21(x1982,x1981),f16(x1982,x1981))+P1(f23(x1982,x1981),x1982)
% 0.14/0.66 [199]P4(x1991,x1992)+~P6(x1991,f21(x1992,x1991),f16(x1992,x1991))+~P6(x1991,f20(x1992,x1991),f23(x1992,x1991))+P1(f15(x1992,x1991),x1992)
% 0.14/0.66 [200]P4(x2001,x2002)+~P6(x2001,f15(x2002,x2001),f15(x2002,x2001))+~P6(x2001,f20(x2002,x2001),f23(x2002,x2001))+P1(f16(x2002,x2001),x2002)
% 0.14/0.66 [201]P4(x2011,x2012)+~P6(x2011,f15(x2012,x2011),f15(x2012,x2011))+~P6(x2011,f20(x2012,x2011),f23(x2012,x2011))+P1(f21(x2012,x2011),x2012)
% 0.14/0.66 [202]P4(x2021,x2022)+P6(x2021,f16(x2022,x2021),f21(x2022,x2021))+P6(x2021,f20(x2022,x2021),f22(x2022,x2021))+~P6(x2021,f15(x2022,x2021),f15(x2022,x2021))
% 0.14/0.66 [203]P4(x2031,x2032)+P6(x2031,f16(x2032,x2031),f21(x2032,x2031))+P6(x2031,f22(x2032,x2031),f23(x2032,x2031))+~P6(x2031,f15(x2032,x2031),f15(x2032,x2031))
% 0.14/0.66 [204]P4(x2041,x2042)+P6(x2041,f16(x2042,x2041),f21(x2042,x2041))+~P6(x2041,f15(x2042,x2041),f15(x2042,x2041))+~P6(x2041,f20(x2042,x2041),f23(x2042,x2041))
% 0.14/0.66 [205]P4(x2051,x2052)+P6(x2051,f20(x2052,x2051),f22(x2052,x2051))+~P6(x2051,f15(x2052,x2051),f15(x2052,x2051))+~P6(x2051,f21(x2052,x2051),f16(x2052,x2051))
% 0.14/0.66 [206]P4(x2061,x2062)+P6(x2061,f22(x2062,x2061),f23(x2062,x2061))+~P6(x2061,f15(x2062,x2061),f15(x2062,x2061))+~P6(x2061,f21(x2062,x2061),f16(x2062,x2061))
% 0.14/0.66 [207]P4(x2071,x2072)+~P6(x2071,f15(x2072,x2071),f15(x2072,x2071))+~P6(x2071,f21(x2072,x2071),f16(x2072,x2071))+~P6(x2071,f20(x2072,x2071),f23(x2072,x2071))
% 0.14/0.66 [141]P8(x1411,x1412)+~P1(x1413,x1411)+P1(f25(x1411,x1412),x1411)+P1(f28(x1411,x1412),x1411)+~P1(f27(x1411,x1412),x1413)
% 0.14/0.66 [142]P8(x1421,x1422)+~P1(x1423,x1421)+P1(f25(x1421,x1422),x1421)+P1(f29(x1421,x1422),x1421)+~P1(f27(x1421,x1422),x1423)
% 0.14/0.66 [145]P8(x1451,x1452)+~P1(x1453,x1451)+P1(f25(x1451,x1452),x1451)+~E(f29(x1451,x1452),f28(x1451,x1452))+~P1(f27(x1451,x1452),x1453)
% 0.14/0.66 [153]P8(x1531,x1532)+~P1(x1533,x1531)+P1(f28(x1531,x1532),x1531)+~P7(f25(x1531,x1532),x1532)+~P1(f27(x1531,x1532),x1533)
% 0.14/0.66 [154]P8(x1541,x1542)+~P1(x1543,x1541)+P1(f29(x1541,x1542),x1541)+~P7(f25(x1541,x1542),x1542)+~P1(f27(x1541,x1542),x1543)
% 0.14/0.66 [156]P8(x1561,x1562)+~P1(x1563,x1561)+P1(f25(x1561,x1562),x1561)+P1(f7(x1561,x1562),f28(x1561,x1562))+~P1(f27(x1561,x1562),x1563)
% 0.14/0.66 [157]P8(x1571,x1572)+~P1(x1573,x1571)+P1(f25(x1571,x1572),x1571)+P1(f7(x1571,x1572),f29(x1571,x1572))+~P1(f27(x1571,x1572),x1573)
% 0.14/0.66 [158]P8(x1581,x1582)+~P1(x1583,x1581)+~E(f29(x1581,x1582),f28(x1581,x1582))+~P7(f25(x1581,x1582),x1582)+~P1(f27(x1581,x1582),x1583)
% 0.14/0.67 [165]P8(x1651,x1652)+~P1(x1653,x1651)+P1(f7(x1651,x1652),f28(x1651,x1652))+~P7(f25(x1651,x1652),x1652)+~P1(f27(x1651,x1652),x1653)
% 0.14/0.67 [166]P8(x1661,x1662)+~P1(x1663,x1661)+P1(f7(x1661,x1662),f29(x1661,x1662))+~P7(f25(x1661,x1662),x1662)+~P1(f27(x1661,x1662),x1663)
% 0.14/0.67 [159]~P1(x1593,x1594)+~P4(x1591,x1594)+~P6(x1591,x1593,x1592)+P6(x1591,x1592,x1593)+~P1(x1592,x1594)
% 0.14/0.67 [122]~P1(x1223,x1221)+~P1(x1221,x1224)+E(x1221,x1222)+~P1(x1223,x1222)+~P1(x1222,x1224)+~P8(x1224,x1225)
% 0.14/0.67 [183]~P1(x1832,x1834)+~P9(x1831,x1834)+~P6(x1831,x1835,x1833)+~P6(x1831,x1832,x1835)+P6(x1831,x1832,x1833)+~P1(x1833,x1834)+~P1(x1835,x1834)
% 0.14/0.67 [184]~P1(x1842,x1844)+~P4(x1841,x1844)+~P6(x1841,x1845,x1843)+~P6(x1841,x1842,x1845)+P6(x1841,x1842,x1843)+~P1(x1843,x1844)+~P1(x1845,x1844)
% 0.14/0.67 %EqnAxiom
% 0.14/0.67 [1]E(x11,x11)
% 0.14/0.67 [2]E(x22,x21)+~E(x21,x22)
% 0.14/0.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.14/0.67 [4]~E(x41,x42)+E(f5(x41,x43,x44),f5(x42,x43,x44))
% 0.14/0.67 [5]~E(x51,x52)+E(f5(x53,x51,x54),f5(x53,x52,x54))
% 0.14/0.67 [6]~E(x61,x62)+E(f5(x63,x64,x61),f5(x63,x64,x62))
% 0.14/0.67 [7]~E(x71,x72)+E(f12(x71),f12(x72))
% 0.14/0.67 [8]~E(x81,x82)+E(f21(x81,x83),f21(x82,x83))
% 0.14/0.67 [9]~E(x91,x92)+E(f21(x93,x91),f21(x93,x92))
% 0.14/0.67 [10]~E(x101,x102)+E(f13(x101),f13(x102))
% 0.14/0.67 [11]~E(x111,x112)+E(f31(x111,x113),f31(x112,x113))
% 0.14/0.67 [12]~E(x121,x122)+E(f31(x123,x121),f31(x123,x122))
% 0.14/0.67 [13]~E(x131,x132)+E(f15(x131,x133),f15(x132,x133))
% 0.14/0.67 [14]~E(x141,x142)+E(f15(x143,x141),f15(x143,x142))
% 0.14/0.67 [15]~E(x151,x152)+E(f20(x151,x153),f20(x152,x153))
% 0.14/0.67 [16]~E(x161,x162)+E(f20(x163,x161),f20(x163,x162))
% 0.14/0.67 [17]~E(x171,x172)+E(f14(x171,x173),f14(x172,x173))
% 0.14/0.67 [18]~E(x181,x182)+E(f14(x183,x181),f14(x183,x182))
% 0.14/0.67 [19]~E(x191,x192)+E(f17(x191,x193),f17(x192,x193))
% 0.14/0.67 [20]~E(x201,x202)+E(f17(x203,x201),f17(x203,x202))
% 0.14/0.67 [21]~E(x211,x212)+E(f22(x211,x213),f22(x212,x213))
% 0.14/0.67 [22]~E(x221,x222)+E(f22(x223,x221),f22(x223,x222))
% 0.14/0.67 [23]~E(x231,x232)+E(f30(x231),f30(x232))
% 0.14/0.67 [24]~E(x241,x242)+E(f18(x241,x243),f18(x242,x243))
% 0.14/0.67 [25]~E(x251,x252)+E(f18(x253,x251),f18(x253,x252))
% 0.14/0.67 [26]~E(x261,x262)+E(f32(x261,x263),f32(x262,x263))
% 0.14/0.67 [27]~E(x271,x272)+E(f32(x273,x271),f32(x273,x272))
% 0.14/0.67 [28]~E(x281,x282)+E(f8(x281,x283),f8(x282,x283))
% 0.14/0.67 [29]~E(x291,x292)+E(f8(x293,x291),f8(x293,x292))
% 0.14/0.67 [30]~E(x301,x302)+E(f33(x301),f33(x302))
% 0.14/0.67 [31]~E(x311,x312)+E(f23(x311,x313),f23(x312,x313))
% 0.14/0.67 [32]~E(x321,x322)+E(f23(x323,x321),f23(x323,x322))
% 0.14/0.67 [33]~E(x331,x332)+E(f16(x331,x333),f16(x332,x333))
% 0.14/0.67 [34]~E(x341,x342)+E(f16(x343,x341),f16(x343,x342))
% 0.14/0.67 [35]~E(x351,x352)+E(f19(x351,x353),f19(x352,x353))
% 0.14/0.67 [36]~E(x361,x362)+E(f19(x363,x361),f19(x363,x362))
% 0.14/0.67 [37]~E(x371,x372)+E(f6(x371,x373),f6(x372,x373))
% 0.14/0.67 [38]~E(x381,x382)+E(f6(x383,x381),f6(x383,x382))
% 0.14/0.67 [39]~E(x391,x392)+E(f10(x391,x393),f10(x392,x393))
% 0.14/0.67 [40]~E(x401,x402)+E(f10(x403,x401),f10(x403,x402))
% 0.14/0.67 [41]~E(x411,x412)+E(f9(x411,x413),f9(x412,x413))
% 0.14/0.67 [42]~E(x421,x422)+E(f9(x423,x421),f9(x423,x422))
% 0.14/0.67 [43]~E(x431,x432)+E(f4(x431,x433),f4(x432,x433))
% 0.14/0.67 [44]~E(x441,x442)+E(f4(x443,x441),f4(x443,x442))
% 0.14/0.67 [45]~E(x451,x452)+E(f24(x451,x453),f24(x452,x453))
% 0.14/0.67 [46]~E(x461,x462)+E(f24(x463,x461),f24(x463,x462))
% 0.14/0.67 [47]~E(x471,x472)+E(f7(x471,x473),f7(x472,x473))
% 0.14/0.67 [48]~E(x481,x482)+E(f7(x483,x481),f7(x483,x482))
% 0.14/0.67 [49]~E(x491,x492)+E(f25(x491,x493),f25(x492,x493))
% 0.14/0.67 [50]~E(x501,x502)+E(f25(x503,x501),f25(x503,x502))
% 0.14/0.67 [51]~E(x511,x512)+E(f26(x511,x513,x514),f26(x512,x513,x514))
% 0.14/0.67 [52]~E(x521,x522)+E(f26(x523,x521,x524),f26(x523,x522,x524))
% 0.14/0.67 [53]~E(x531,x532)+E(f26(x533,x534,x531),f26(x533,x534,x532))
% 0.14/0.67 [54]~E(x541,x542)+E(f28(x541,x543),f28(x542,x543))
% 0.14/0.67 [55]~E(x551,x552)+E(f28(x553,x551),f28(x553,x552))
% 0.14/0.67 [56]~E(x561,x562)+E(f27(x561,x563),f27(x562,x563))
% 0.14/0.67 [57]~E(x571,x572)+E(f27(x573,x571),f27(x573,x572))
% 0.14/0.67 [58]~E(x581,x582)+E(f29(x581,x583),f29(x582,x583))
% 0.14/0.67 [59]~E(x591,x592)+E(f29(x593,x591),f29(x593,x592))
% 0.14/0.67 [60]P1(x602,x603)+~E(x601,x602)+~P1(x601,x603)
% 0.14/0.67 [61]P1(x613,x612)+~E(x611,x612)+~P1(x613,x611)
% 0.14/0.67 [62]P2(x622,x623)+~E(x621,x622)+~P2(x621,x623)
% 0.14/0.67 [63]P2(x633,x632)+~E(x631,x632)+~P2(x633,x631)
% 0.14/0.67 [64]P6(x642,x643,x644)+~E(x641,x642)+~P6(x641,x643,x644)
% 0.14/0.67 [65]P6(x653,x652,x654)+~E(x651,x652)+~P6(x653,x651,x654)
% 0.14/0.67 [66]P6(x663,x664,x662)+~E(x661,x662)+~P6(x663,x664,x661)
% 0.14/0.67 [67]P7(x672,x673)+~E(x671,x672)+~P7(x671,x673)
% 0.14/0.67 [68]P7(x683,x682)+~E(x681,x682)+~P7(x683,x681)
% 0.14/0.67 [69]P8(x692,x693)+~E(x691,x692)+~P8(x691,x693)
% 0.14/0.67 [70]P8(x703,x702)+~E(x701,x702)+~P8(x703,x701)
% 0.14/0.67 [71]P4(x712,x713)+~E(x711,x712)+~P4(x711,x713)
% 0.14/0.67 [72]P4(x723,x722)+~E(x721,x722)+~P4(x723,x721)
% 0.14/0.67 [73]P9(x732,x733)+~E(x731,x732)+~P9(x731,x733)
% 0.14/0.67 [74]P9(x743,x742)+~E(x741,x742)+~P9(x743,x741)
% 0.14/0.67 [75]P3(x752,x753)+~E(x751,x752)+~P3(x751,x753)
% 0.14/0.67 [76]P3(x763,x762)+~E(x761,x762)+~P3(x763,x761)
% 0.14/0.67 [77]P5(x772,x773)+~E(x771,x772)+~P5(x771,x773)
% 0.14/0.67 [78]P5(x783,x782)+~E(x781,x782)+~P5(x783,x781)
% 0.14/0.67
% 0.14/0.67 %-------------------------------------------
% 0.14/0.67 cnf(209,plain,
% 0.14/0.67 (~P1(x2091,a3)),
% 0.14/0.67 inference(rename_variables,[],[81])).
% 0.14/0.67 cnf(211,plain,
% 0.14/0.67 (~P1(x2111,a3)),
% 0.14/0.67 inference(rename_variables,[],[81])).
% 0.14/0.67 cnf(214,plain,
% 0.14/0.67 (~P1(x2141,a3)),
% 0.14/0.67 inference(rename_variables,[],[81])).
% 0.14/0.67 cnf(217,plain,
% 0.14/0.67 (~P1(x2171,a3)),
% 0.14/0.67 inference(rename_variables,[],[81])).
% 0.14/0.67 cnf(220,plain,
% 0.14/0.67 (~P1(x2201,a3)),
% 0.14/0.67 inference(rename_variables,[],[81])).
% 0.14/0.67 cnf(223,plain,
% 0.14/0.67 (~P6(a11,a1,a1)),
% 0.14/0.67 inference(scs_inference,[],[79,81,209,211,214,217,82,95,94,93,107,61,98,164])).
% 0.14/0.67 cnf(226,plain,
% 0.14/0.67 (~P1(x2261,a3)),
% 0.14/0.67 inference(rename_variables,[],[81])).
% 0.14/0.67 cnf(229,plain,
% 0.14/0.67 (P4(a11,a2)),
% 0.14/0.67 inference(scs_inference,[],[79,81,209,211,214,217,220,80,82,95,94,93,107,61,98,164,140,2,88])).
% 0.14/0.67 cnf(237,plain,
% 0.14/0.67 (~P1(x2371,f24(a3,x2372))),
% 0.14/0.67 inference(scs_inference,[],[79,81,209,211,214,217,220,226,80,82,95,94,93,107,61,98,164,140,2,88,155,115,111,110])).
% 0.14/0.67 cnf(239,plain,
% 0.14/0.67 (~P1(x2391,f24(x2392,a3))),
% 0.14/0.67 inference(scs_inference,[],[79,81,209,211,214,217,220,226,80,82,95,94,93,107,61,98,164,140,2,88,155,115,111,110,109])).
% 0.14/0.67 cnf(252,plain,
% 0.14/0.67 (~P1(x2521,a3)),
% 0.14/0.67 inference(rename_variables,[],[81])).
% 0.14/0.67 cnf(256,plain,
% 0.14/0.67 (~P7(a2,a3)),
% 0.14/0.67 inference(scs_inference,[],[79,81,209,211,214,217,220,226,252,80,82,95,94,93,107,61,98,164,140,2,88,155,115,111,110,109,101,100,89,84,167,99,70,121,97])).
% 0.14/0.67 cnf(257,plain,
% 0.14/0.67 (~P1(x2571,a3)),
% 0.14/0.67 inference(rename_variables,[],[81])).
% 0.14/0.67 cnf(259,plain,
% 0.14/0.67 (~P1(x2591,f30(f13(a3)))),
% 0.14/0.67 inference(scs_inference,[],[79,81,209,211,214,217,220,226,252,257,80,82,95,94,93,107,61,98,164,140,2,88,155,115,111,110,109,101,100,89,84,167,99,70,121,97,105])).
% 0.14/0.67 cnf(261,plain,
% 0.14/0.67 (P1(a1,f33(f30(a3)))),
% 0.14/0.67 inference(scs_inference,[],[79,81,209,211,214,217,220,226,252,257,80,82,95,94,93,107,61,98,164,140,2,88,155,115,111,110,109,101,100,89,84,167,99,70,121,97,105,102])).
% 0.14/0.67 cnf(314,plain,
% 0.14/0.67 ($false),
% 0.14/0.67 inference(scs_inference,[],[79,81,237,239,259,223,261,229,256,92,106,124,99,121]),
% 0.14/0.67 ['proof']).
% 0.14/0.67 % SZS output end Proof
% 0.14/0.67 % Total time :0.060000s
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