TSTP Solution File: SWC121+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWC121+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n009.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 20:20:00 EDT 2023
% Result : Theorem 0.67s 0.77s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC121+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n009.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 : Mon Aug 28 16:06:20 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.67/0.77 % Version : CSE_E---1.5
% 0.67/0.77 % Problem : theBenchmark.p
% 0.67/0.77 % Proof found
% 0.67/0.77 % SZS status Theorem for theBenchmark.p
% 0.67/0.77 % SZS output start Proof
% 0.67/0.77 [3]~E(a16,a3)
% 0.67/0.77 [4]P1(a16)
% 0.67/0.77 [5]P1(a3)
% 0.67/0.77 [84]P15(a49)
% 0.67/0.77 [115]~P12(a49)
% 0.67/0.77 [141]P2(a49)
% 0.67/0.77 [143]P16(a49)
% 0.67/0.77 [145]P17(a49)
% 0.67/0.77 [147]P19(a49)
% 0.67/0.77 [154]P18(a49)
% 0.67/0.77 [161]P3(a49)
% 0.67/0.77 [163]P4(a49)
% 0.67/0.77 [198]P5(a46,a49)
% 0.67/0.77 [199]E(a1,a2)
% 0.67/0.77 [200]E(a46,a48)
% 0.67/0.77 [201]P15(a48)
% 0.67/0.77 [202]P15(a1)
% 0.67/0.77 [203]P15(a46)
% 0.67/0.77 [204]P15(a2)
% 0.67/0.77 [193]~P5(a48,a49)+P14(a48,a1)
% 0.67/0.77 [195]P5(a1,a49)+~P5(a48,a49)
% 0.67/0.77 [101]~P1(x1011)+P7(x1011,x1011)
% 0.67/0.77 [114]~P1(x1141)+~P10(a49,x1141)
% 0.67/0.77 [118]~P15(x1181)+P6(x1181,x1181)
% 0.67/0.77 [123]~P15(x1231)+P6(x1231,a49)
% 0.67/0.77 [128]~P15(x1281)+P13(x1281,x1281)
% 0.67/0.77 [130]~P15(x1301)+P13(x1301,a49)
% 0.67/0.77 [135]~P15(x1351)+P14(x1351,x1351)
% 0.67/0.77 [137]~P15(x1371)+P14(x1371,a49)
% 0.67/0.77 [182]~P1(x1821)+P8(x1821,x1821)
% 0.67/0.77 [183]~P11(x1831,x1831)+~P1(x1831)
% 0.67/0.77 [98]~P15(x981)+E(f4(a49,x981),x981)
% 0.67/0.77 [140]~P1(x1401)+P2(f6(x1401,a49))
% 0.67/0.77 [142]~P1(x1421)+P16(f6(x1421,a49))
% 0.67/0.77 [144]~P1(x1441)+P17(f6(x1441,a49))
% 0.67/0.77 [146]~P1(x1461)+P19(f6(x1461,a49))
% 0.67/0.77 [153]~P1(x1531)+P18(f6(x1531,a49))
% 0.67/0.77 [160]~P1(x1601)+P3(f6(x1601,a49))
% 0.67/0.77 [162]~P1(x1621)+P4(f6(x1621,a49))
% 0.67/0.77 [177]~P15(x1771)+E(f4(x1771,a49),x1771)
% 0.67/0.77 [191]~P5(a48,a49)+~P5(a2,a49)+~P14(a46,a2)
% 0.67/0.77 [124]~P15(x1241)+~E(a49,x1241)+P6(a49,x1241)
% 0.67/0.77 [125]~P15(x1251)+~P6(a49,x1251)+E(a49,x1251)
% 0.67/0.77 [131]~P15(x1311)+~E(a49,x1311)+P13(a49,x1311)
% 0.67/0.77 [132]~P15(x1321)+~P13(a49,x1321)+E(a49,x1321)
% 0.67/0.77 [138]~P15(x1381)+~E(a49,x1381)+P14(a49,x1381)
% 0.67/0.77 [139]~P15(x1391)+~P14(a49,x1391)+E(a49,x1391)
% 0.67/0.77 [12]~P15(x121)+~P12(x121)+P1(f51(x121))
% 0.67/0.77 [23]~P15(x231)+P2(x231)+P7(f7(x231),f5(x231))
% 0.67/0.77 [24]~P15(x241)+P2(x241)+P7(f5(x241),f7(x241))
% 0.67/0.77 [26]~P15(x261)+P2(x261)+P15(f10(x261))
% 0.67/0.77 [27]~P15(x271)+P2(x271)+P15(f9(x271))
% 0.67/0.77 [28]~P15(x281)+P2(x281)+P15(f8(x281))
% 0.67/0.77 [29]~P15(x291)+P2(x291)+P1(f7(x291))
% 0.67/0.77 [30]~P15(x301)+P2(x301)+P1(f5(x301))
% 0.67/0.77 [32]~P15(x321)+P16(x321)+~P7(f12(x321),f11(x321))
% 0.67/0.77 [33]~P15(x331)+P16(x331)+~P7(f11(x331),f12(x331))
% 0.67/0.77 [35]~P15(x351)+P16(x351)+P15(f15(x351))
% 0.67/0.77 [36]~P15(x361)+P16(x361)+P15(f14(x361))
% 0.67/0.77 [37]~P15(x371)+P16(x371)+P15(f13(x371))
% 0.67/0.77 [38]~P15(x381)+P16(x381)+P1(f12(x381))
% 0.67/0.77 [39]~P15(x391)+P16(x391)+P1(f11(x391))
% 0.67/0.77 [41]~P15(x411)+P17(x411)+~P11(f18(x411),f17(x411))
% 0.67/0.77 [42]~P15(x421)+P17(x421)+~P11(f17(x421),f18(x421))
% 0.67/0.77 [44]~P15(x441)+P17(x441)+P15(f21(x441))
% 0.67/0.77 [45]~P15(x451)+P17(x451)+P15(f20(x451))
% 0.67/0.77 [46]~P15(x461)+P17(x461)+P15(f19(x461))
% 0.67/0.77 [47]~P15(x471)+P17(x471)+P1(f18(x471))
% 0.67/0.77 [48]~P15(x481)+P17(x481)+P1(f17(x481))
% 0.67/0.77 [50]~P15(x501)+P19(x501)+~P7(f22(x501),f23(x501))
% 0.67/0.77 [52]~P15(x521)+P19(x521)+P15(f26(x521))
% 0.67/0.77 [53]~P15(x531)+P19(x531)+P15(f25(x531))
% 0.67/0.77 [54]~P15(x541)+P19(x541)+P15(f24(x541))
% 0.67/0.77 [55]~P15(x551)+P19(x551)+P1(f23(x551))
% 0.67/0.77 [56]~P15(x561)+P19(x561)+P1(f22(x561))
% 0.67/0.77 [58]~P15(x581)+P18(x581)+~P11(f31(x581),f32(x581))
% 0.67/0.77 [60]~P15(x601)+P18(x601)+P15(f35(x601))
% 0.67/0.77 [61]~P15(x611)+P18(x611)+P15(f34(x611))
% 0.67/0.77 [62]~P15(x621)+P18(x621)+P15(f33(x621))
% 0.67/0.77 [63]~P15(x631)+P18(x631)+P1(f32(x631))
% 0.67/0.77 [64]~P15(x641)+P18(x641)+P1(f31(x641))
% 0.67/0.77 [66]P3(x661)+~P15(x661)+E(f30(x661),f36(x661))
% 0.67/0.77 [68]~P15(x681)+P3(x681)+P15(f39(x681))
% 0.67/0.77 [69]~P15(x691)+P3(x691)+P15(f38(x691))
% 0.67/0.77 [70]~P15(x701)+P3(x701)+P15(f37(x701))
% 0.67/0.77 [71]~P15(x711)+P3(x711)+P1(f36(x711))
% 0.67/0.77 [72]~P15(x721)+P3(x721)+P1(f30(x721))
% 0.67/0.77 [74]~P15(x741)+P4(x741)+~E(f42(x741),f40(x741))
% 0.67/0.77 [76]~P15(x761)+P4(x761)+P15(f44(x761))
% 0.67/0.77 [77]~P15(x771)+P4(x771)+P15(f43(x771))
% 0.67/0.77 [78]~P15(x781)+P4(x781)+P1(f42(x781))
% 0.67/0.77 [79]~P15(x791)+P4(x791)+P1(f40(x791))
% 0.67/0.77 [89]~P15(x891)+E(a49,x891)+P1(f28(x891))
% 0.67/0.77 [90]~P15(x901)+E(a49,x901)+P15(f29(x901))
% 0.67/0.77 [92]~P15(x921)+E(a49,x921)+P1(f50(x921))
% 0.67/0.78 [94]~P15(x941)+E(a49,x941)+P15(f56(x941))
% 0.67/0.78 [164]~P15(x1641)+E(f50(x1641),f27(x1641))+E(a49,x1641)
% 0.67/0.78 [165]~P15(x1651)+E(a49,x1651)+P1(f27(x1651))
% 0.67/0.78 [166]~P15(x1661)+E(f56(x1661),f45(x1661))+E(a49,x1661)
% 0.67/0.78 [167]~P15(x1671)+E(a49,x1671)+P15(f45(x1671))
% 0.67/0.78 [11]~P15(x111)+~P12(x111)+E(f6(f51(x111),a49),x111)
% 0.67/0.78 [88]~P15(x881)+E(a49,x881)+E(f6(f28(x881),f29(x881)),x881)
% 0.67/0.78 [169]~P15(x1691)+E(a49,x1691)+E(f6(f50(x1691),f56(x1691)),x1691)
% 0.67/0.78 [25]P2(x251)+~P15(x251)+E(f4(f4(f8(x251),f6(f5(x251),f9(x251))),f6(f7(x251),f10(x251))),x251)
% 0.67/0.78 [34]P16(x341)+~P15(x341)+E(f4(f4(f13(x341),f6(f11(x341),f14(x341))),f6(f12(x341),f15(x341))),x341)
% 0.67/0.78 [43]P17(x431)+~P15(x431)+E(f4(f4(f19(x431),f6(f17(x431),f20(x431))),f6(f18(x431),f21(x431))),x431)
% 0.67/0.78 [51]P19(x511)+~P15(x511)+E(f4(f4(f24(x511),f6(f22(x511),f25(x511))),f6(f23(x511),f26(x511))),x511)
% 0.67/0.78 [59]P18(x591)+~P15(x591)+E(f4(f4(f33(x591),f6(f31(x591),f34(x591))),f6(f32(x591),f35(x591))),x591)
% 0.67/0.78 [67]P3(x671)+~P15(x671)+E(f4(f4(f37(x671),f6(f30(x671),f38(x671))),f6(f36(x671),f39(x671))),x671)
% 0.67/0.78 [75]P4(x751)+~P15(x751)+E(f4(f43(x751),f6(f40(x751),f6(f42(x751),f44(x751)))),x751)
% 0.67/0.78 [83]~P1(x831)+~P15(x832)+P15(f6(x831,x832))
% 0.67/0.78 [85]~P1(x851)+~P15(x852)+~E(f6(x851,x852),x852)
% 0.67/0.78 [91]~P1(x911)+~P15(x912)+~E(f6(x911,x912),a49)
% 0.67/0.78 [96]~P15(x962)+~P15(x961)+P15(f4(x961,x962))
% 0.67/0.78 [93]~P1(x931)+~P15(x932)+E(f50(f6(x931,x932)),x931)
% 0.67/0.78 [95]~P1(x951)+~P15(x952)+E(f56(f6(x951,x952)),x952)
% 0.67/0.78 [172]~P1(x1721)+~P15(x1722)+E(f4(f6(x1721,a49),x1722),f6(x1721,x1722))
% 0.67/0.78 [1]P5(x11,x12)+~P1(x12)+~P1(x11)+E(x11,x12)
% 0.67/0.78 [2]~P1(x22)+~P1(x21)+~P5(x21,x22)+~E(x21,x22)
% 0.67/0.78 [81]P5(x811,x812)+~P15(x812)+~P15(x811)+E(x811,x812)
% 0.67/0.78 [82]~P15(x822)+~P15(x821)+~P5(x821,x822)+~E(x821,x822)
% 0.67/0.78 [102]~P1(x1021)+~P1(x1022)+~P7(x1022,x1021)+P8(x1021,x1022)
% 0.67/0.78 [103]~P1(x1031)+~P1(x1032)+~P8(x1032,x1031)+P7(x1031,x1032)
% 0.67/0.78 [104]~P11(x1041,x1042)+~P11(x1042,x1041)+~P1(x1041)+~P1(x1042)
% 0.67/0.78 [106]~P1(x1061)+~P1(x1062)+~P11(x1062,x1061)+P9(x1061,x1062)
% 0.67/0.78 [107]~P1(x1071)+~P1(x1072)+~P9(x1072,x1071)+P11(x1071,x1072)
% 0.67/0.78 [187]~P1(x1872)+~P1(x1871)+~P11(x1871,x1872)+P7(x1871,x1872)
% 0.67/0.78 [188]~P1(x1882)+~P1(x1881)+~P11(x1881,x1882)+~E(x1881,x1882)
% 0.67/0.78 [189]~P9(x1891,x1892)+~P9(x1892,x1891)+~P1(x1891)+~P1(x1892)
% 0.67/0.78 [8]~P1(x82)+~P15(x81)+~P10(x81,x82)+P15(f47(x81,x82))
% 0.67/0.78 [9]~P1(x92)+~P15(x91)+~P10(x91,x92)+P15(f41(x91,x92))
% 0.67/0.78 [10]~P1(x102)+~P15(x101)+P12(x101)+~E(f6(x102,a49),x101)
% 0.67/0.78 [15]~P15(x152)+~P15(x151)+~P6(x151,x152)+P15(f52(x151,x152))
% 0.67/0.78 [18]~P15(x182)+~P15(x181)+~P13(x181,x182)+P15(f53(x181,x182))
% 0.67/0.78 [21]~P15(x212)+~P15(x211)+~P14(x211,x212)+P15(f55(x211,x212))
% 0.67/0.78 [22]~P15(x222)+~P15(x221)+~P14(x221,x222)+P15(f54(x221,x222))
% 0.67/0.78 [149]~P1(x1491)+~P15(x1492)+~E(a49,x1492)+P19(f6(x1491,x1492))
% 0.67/0.78 [156]~P1(x1561)+~P15(x1562)+~E(a49,x1562)+P18(f6(x1561,x1562))
% 0.67/0.78 [175]~P15(x1752)+~P15(x1751)+E(a49,x1751)+~E(f4(x1751,x1752),a49)
% 0.67/0.78 [176]~P15(x1762)+~P15(x1761)+E(a49,x1761)+~E(f4(x1762,x1761),a49)
% 0.67/0.78 [14]~P15(x142)+~P15(x141)+~P6(x142,x141)+E(f4(x141,f52(x142,x141)),x142)
% 0.67/0.78 [17]~P15(x172)+~P15(x171)+~P13(x171,x172)+E(f4(f53(x171,x172),x172),x171)
% 0.67/0.78 [20]~P15(x202)+~P15(x201)+~P14(x201,x202)+E(f4(f4(f54(x201,x202),x202),f55(x201,x202)),x201)
% 0.67/0.78 [178]~P15(x1782)+~P15(x1781)+E(a49,x1781)+E(f50(f4(x1781,x1782)),f50(x1781))
% 0.67/0.78 [179]~P15(x1792)+~P15(x1791)+E(a49,x1791)+E(f56(f4(x1791,x1792)),f4(f56(x1791),x1792))
% 0.67/0.78 [7]~P1(x72)+~P15(x71)+~P10(x71,x72)+E(f4(f41(x71,x72),f6(x72,f47(x71,x72))),x71)
% 0.67/0.78 [97]~P1(x971)+~P15(x972)+~P15(x973)+E(f6(x971,f4(x972,x973)),f4(f6(x971,x972),x973))
% 0.67/0.78 [173]~P15(x1733)+~P15(x1732)+~P15(x1731)+E(f4(f4(x1731,x1732),x1733),f4(x1731,f4(x1732,x1733)))
% 0.67/0.78 [99]~P1(x992)+~P1(x991)+~P7(x992,x991)+~P7(x991,x992)+E(x991,x992)
% 0.67/0.78 [117]~P15(x1172)+~P15(x1171)+~P6(x1172,x1171)+~P6(x1171,x1172)+E(x1171,x1172)
% 0.67/0.78 [127]~P15(x1272)+~P15(x1271)+~P13(x1272,x1271)+~P13(x1271,x1272)+E(x1271,x1272)
% 0.67/0.78 [134]~P15(x1342)+~P15(x1341)+~P14(x1342,x1341)+~P14(x1341,x1342)+E(x1341,x1342)
% 0.67/0.78 [180]~P1(x1802)+~P1(x1801)+~P8(x1802,x1801)+~P8(x1801,x1802)+E(x1801,x1802)
% 0.67/0.78 [186]P11(x1861,x1862)+~P1(x1862)+~P1(x1861)+~P7(x1861,x1862)+E(x1861,x1862)
% 0.67/0.78 [150]~P1(x1502)+~P15(x1501)+E(a49,x1501)+P7(x1502,f50(x1501))+~P19(f6(x1502,x1501))
% 0.67/0.78 [151]P19(x1511)+~P15(x1511)+~P1(x1512)+E(a49,x1511)+~P19(f6(x1512,x1511))
% 0.67/0.78 [157]~P1(x1572)+~P15(x1571)+E(a49,x1571)+P11(x1572,f50(x1571))+~P18(f6(x1572,x1571))
% 0.67/0.78 [158]P18(x1581)+~P15(x1581)+~P1(x1582)+E(a49,x1581)+~P18(f6(x1582,x1581))
% 0.67/0.78 [174]~P15(x1741)+~P15(x1742)+~E(a49,x1741)+~E(a49,x1742)+E(f4(x1741,x1742),a49)
% 0.67/0.78 [13]~P15(x131)+~P15(x132)+~P15(x133)+P6(x131,x132)+~E(f4(x132,x133),x131)
% 0.67/0.78 [16]~P15(x161)+~P15(x162)+~P15(x163)+P13(x161,x162)+~E(f4(x163,x162),x161)
% 0.67/0.78 [108]~P1(x1083)+~P15(x1081)+~P15(x1082)+~P10(x1082,x1083)+P10(f4(x1081,x1082),x1083)
% 0.67/0.78 [109]~P1(x1093)+~P15(x1092)+~P15(x1091)+~P10(x1091,x1093)+P10(f4(x1091,x1092),x1093)
% 0.67/0.78 [111]~P1(x1111)+~P1(x1113)+~P15(x1112)+~P10(x1112,x1113)+P10(f6(x1111,x1112),x1113)
% 0.67/0.78 [112]~E(x1123,x1121)+~P1(x1121)+~P1(x1123)+~P15(x1122)+P10(f6(x1121,x1122),x1123)
% 0.67/0.78 [119]~P15(x1192)+~P15(x1193)+~P15(x1191)+~P6(x1191,x1193)+P6(f4(x1191,x1192),x1193)
% 0.67/0.78 [129]~P15(x1291)+~P15(x1293)+~P15(x1292)+~P13(x1292,x1293)+P13(f4(x1291,x1292),x1293)
% 0.67/0.78 [170]~P15(x1702)+~P15(x1703)+~P15(x1701)+E(x1701,x1702)+~E(f4(x1701,x1703),f4(x1702,x1703))
% 0.67/0.78 [171]~P15(x1712)+~P15(x1713)+~P15(x1711)+E(x1711,x1712)+~E(f4(x1713,x1711),f4(x1713,x1712))
% 0.67/0.78 [148]~P1(x1482)+~P15(x1481)+~P19(x1481)+~P7(x1482,f50(x1481))+E(a49,x1481)+P19(f6(x1482,x1481))
% 0.67/0.78 [155]~P1(x1552)+~P15(x1551)+~P18(x1551)+~P11(x1552,f50(x1551))+E(a49,x1551)+P18(f6(x1552,x1551))
% 0.67/0.78 [100]~P1(x1002)+~P1(x1001)+~P7(x1003,x1002)+~P7(x1001,x1003)+P7(x1001,x1002)+~P1(x1003)
% 0.67/0.78 [105]~P1(x1052)+~P1(x1051)+~P11(x1053,x1052)+~P11(x1051,x1053)+P11(x1051,x1052)+~P1(x1053)
% 0.67/0.78 [116]~P15(x1162)+~P15(x1161)+~P6(x1163,x1162)+~P6(x1161,x1163)+P6(x1161,x1162)+~P15(x1163)
% 0.67/0.78 [126]~P15(x1262)+~P15(x1261)+~P13(x1263,x1262)+~P13(x1261,x1263)+P13(x1261,x1262)+~P15(x1263)
% 0.67/0.78 [133]~P15(x1332)+~P15(x1331)+~P14(x1333,x1332)+~P14(x1331,x1333)+P14(x1331,x1332)+~P15(x1333)
% 0.67/0.78 [181]~P1(x1812)+~P1(x1811)+~P8(x1813,x1812)+~P8(x1811,x1813)+P8(x1811,x1812)+~P1(x1813)
% 0.67/0.78 [184]~P1(x1842)+~P1(x1841)+~P7(x1841,x1843)+~P11(x1843,x1842)+P11(x1841,x1842)+~P1(x1843)
% 0.67/0.78 [190]~P1(x1902)+~P1(x1901)+~P9(x1903,x1902)+~P9(x1901,x1903)+P9(x1901,x1902)+~P1(x1903)
% 0.67/0.78 [110]~P1(x1102)+~P15(x1101)+~P15(x1103)+P10(x1101,x1102)+P10(x1103,x1102)+~P10(f4(x1103,x1101),x1102)
% 0.67/0.78 [113]~P1(x1132)+~P1(x1131)+~P15(x1133)+E(x1131,x1132)+P10(x1133,x1132)+~P10(f6(x1131,x1133),x1132)
% 0.67/0.78 [86]~P1(x864)+~P1(x863)+~P15(x862)+~P15(x861)+E(x861,x862)+~E(f6(x863,x862),f6(x864,x861))
% 0.67/0.78 [87]~P1(x872)+~P1(x871)+~P15(x874)+~P15(x873)+E(x871,x872)+~E(f6(x871,x873),f6(x872,x874))
% 0.67/0.78 [121]~P15(x1212)+~P15(x1211)+P6(x1211,x1212)+~P1(x1213)+~P1(x1214)+~P6(f6(x1214,x1211),f6(x1213,x1212))
% 0.67/0.78 [122]~P1(x1222)+~P1(x1221)+E(x1221,x1222)+~P15(x1223)+~P15(x1224)+~P6(f6(x1221,x1224),f6(x1222,x1223))
% 0.67/0.78 [6]~P1(x62)+~P15(x61)+~P15(x64)+~P15(x63)+P10(x61,x62)+~E(f4(x63,f6(x62,x64)),x61)
% 0.67/0.78 [19]~P15(x191)+~P15(x192)+~P15(x194)+~P15(x193)+P14(x191,x192)+~E(f4(f4(x193,x192),x194),x191)
% 0.67/0.78 [136]~P15(x1363)+~P15(x1361)+~P15(x1364)+~P15(x1362)+~P14(x1362,x1364)+P14(f4(f4(x1361,x1362),x1363),x1364)
% 0.67/0.78 [168]~P15(x1682)+~P15(x1681)+E(x1681,x1682)+E(a49,x1682)+E(a49,x1681)+~E(f50(x1681),f50(x1682))+~E(f56(x1681),f56(x1682))
% 0.67/0.78 [120]~E(x1201,x1203)+~P1(x1203)+~P1(x1201)+~P15(x1204)+~P15(x1202)+~P6(x1202,x1204)+P6(f6(x1201,x1202),f6(x1203,x1204))
% 0.67/0.78 [80]~P1(x802)+~P1(x801)+~P15(x804)+~P15(x803)+~P15(x805)+~P4(x805)+E(x801,x802)+~E(f4(x803,f6(x801,f6(x802,x804))),x805)
% 0.67/0.78 [57]~P1(x572)+~P1(x571)+~P15(x575)+~P15(x574)+~P15(x573)+~P15(x576)+~P19(x576)+P7(x571,x572)+~E(f4(f4(x573,f6(x571,x574)),f6(x572,x575)),x576)
% 0.67/0.78 [65]~P1(x652)+~P1(x651)+~P15(x655)+~P15(x654)+~P15(x653)+~P15(x656)+~P18(x656)+P11(x651,x652)+~E(f4(f4(x653,f6(x651,x654)),f6(x652,x655)),x656)
% 0.67/0.78 [73]~P1(x732)+~P1(x731)+~P15(x735)+~P15(x734)+~P15(x733)+~P15(x736)+~P3(x736)+~E(x731,x732)+~E(f4(f4(x733,f6(x731,x734)),f6(x732,x735)),x736)
% 0.67/0.78 [31]~P1(x314)+~P1(x312)+~P15(x315)+~P15(x313)+~P15(x311)+~P15(x316)+~P2(x316)+~P7(x314,x312)+~P7(x312,x314)+~E(f4(f4(x311,f6(x312,x313)),f6(x314,x315)),x316)
% 0.67/0.78 [40]P7(x402,x401)+~P1(x401)+~P1(x402)+~P15(x405)+~P15(x404)+~P15(x403)+~P15(x406)+~P16(x406)+P7(x401,x402)+~E(f4(f4(x403,f6(x402,x404)),f6(x401,x405)),x406)
% 0.67/0.78 [49]P11(x492,x491)+~P1(x491)+~P1(x492)+~P15(x495)+~P15(x494)+~P15(x493)+~P15(x496)+~P17(x496)+P11(x491,x492)+~E(f4(f4(x493,f6(x492,x494)),f6(x491,x495)),x496)
% 0.67/0.78 [205]E(x2051,x2051)
% 0.67/0.78 [206]E(x2062,x2061)+~E(x2061,x2062)
% 0.67/0.78 [207]E(x2071,x2073)+~E(x2071,x2072)+~E(x2072,x2073)
% 0.67/0.78 [208]~E(x2081,x2082)+E(f50(x2081),f50(x2082))
% 0.67/0.78 [209]~E(x2091,x2092)+E(f27(x2091),f27(x2092))
% 0.67/0.78 [210]~E(x2101,x2102)+E(f56(x2101),f56(x2102))
% 0.67/0.78 [211]~E(x2111,x2112)+E(f45(x2111),f45(x2112))
% 0.67/0.78 [212]~E(x2121,x2122)+E(f4(x2121,x2123),f4(x2122,x2123))
% 0.67/0.78 [213]~E(x2131,x2132)+E(f4(x2133,x2131),f4(x2133,x2132))
% 0.67/0.78 [214]~E(x2141,x2142)+E(f28(x2141),f28(x2142))
% 0.67/0.78 [215]~E(x2151,x2152)+E(f6(x2151,x2153),f6(x2152,x2153))
% 0.67/0.78 [216]~E(x2161,x2162)+E(f6(x2163,x2161),f6(x2163,x2162))
% 0.67/0.78 [217]~E(x2171,x2172)+E(f44(x2171),f44(x2172))
% 0.67/0.78 [218]~E(x2181,x2182)+E(f29(x2181),f29(x2182))
% 0.67/0.78 [219]~E(x2191,x2192)+E(f42(x2191),f42(x2192))
% 0.67/0.78 [220]~E(x2201,x2202)+E(f30(x2201),f30(x2202))
% 0.67/0.78 [221]~E(x2211,x2212)+E(f36(x2211),f36(x2212))
% 0.67/0.78 [222]~E(x2221,x2222)+E(f40(x2221),f40(x2222))
% 0.67/0.78 [223]~E(x2231,x2232)+E(f43(x2231),f43(x2232))
% 0.67/0.78 [224]~E(x2241,x2242)+E(f5(x2241),f5(x2242))
% 0.67/0.78 [225]~E(x2251,x2252)+E(f7(x2251),f7(x2252))
% 0.67/0.78 [226]~E(x2261,x2262)+E(f8(x2261),f8(x2262))
% 0.67/0.78 [227]~E(x2271,x2272)+E(f9(x2271),f9(x2272))
% 0.67/0.78 [228]~E(x2281,x2282)+E(f10(x2281),f10(x2282))
% 0.67/0.78 [229]~E(x2291,x2292)+E(f11(x2291),f11(x2292))
% 0.67/0.78 [230]~E(x2301,x2302)+E(f12(x2301),f12(x2302))
% 0.67/0.78 [231]~E(x2311,x2312)+E(f13(x2311),f13(x2312))
% 0.67/0.78 [232]~E(x2321,x2322)+E(f14(x2321),f14(x2322))
% 0.67/0.78 [233]~E(x2331,x2332)+E(f15(x2331),f15(x2332))
% 0.67/0.78 [234]~E(x2341,x2342)+E(f17(x2341),f17(x2342))
% 0.67/0.78 [235]~E(x2351,x2352)+E(f18(x2351),f18(x2352))
% 0.67/0.78 [236]~E(x2361,x2362)+E(f19(x2361),f19(x2362))
% 0.67/0.78 [237]~E(x2371,x2372)+E(f20(x2371),f20(x2372))
% 0.67/0.78 [238]~E(x2381,x2382)+E(f21(x2381),f21(x2382))
% 0.67/0.78 [239]~E(x2391,x2392)+E(f22(x2391),f22(x2392))
% 0.67/0.78 [240]~E(x2401,x2402)+E(f23(x2401),f23(x2402))
% 0.67/0.78 [241]~E(x2411,x2412)+E(f24(x2411),f24(x2412))
% 0.67/0.78 [242]~E(x2421,x2422)+E(f25(x2421),f25(x2422))
% 0.67/0.78 [243]~E(x2431,x2432)+E(f26(x2431),f26(x2432))
% 0.67/0.78 [244]~E(x2441,x2442)+E(f31(x2441),f31(x2442))
% 0.67/0.78 [245]~E(x2451,x2452)+E(f32(x2451),f32(x2452))
% 0.67/0.78 [246]~E(x2461,x2462)+E(f33(x2461),f33(x2462))
% 0.67/0.78 [247]~E(x2471,x2472)+E(f34(x2471),f34(x2472))
% 0.67/0.78 [248]~E(x2481,x2482)+E(f35(x2481),f35(x2482))
% 0.67/0.78 [249]~E(x2491,x2492)+E(f53(x2491,x2493),f53(x2492,x2493))
% 0.67/0.78 [250]~E(x2501,x2502)+E(f53(x2503,x2501),f53(x2503,x2502))
% 0.67/0.78 [251]~E(x2511,x2512)+E(f37(x2511),f37(x2512))
% 0.67/0.78 [252]~E(x2521,x2522)+E(f41(x2521,x2523),f41(x2522,x2523))
% 0.67/0.78 [253]~E(x2531,x2532)+E(f41(x2533,x2531),f41(x2533,x2532))
% 0.67/0.78 [254]~E(x2541,x2542)+E(f38(x2541),f38(x2542))
% 0.67/0.78 [255]~E(x2551,x2552)+E(f39(x2551),f39(x2552))
% 0.67/0.78 [256]~E(x2561,x2562)+E(f54(x2561,x2563),f54(x2562,x2563))
% 0.67/0.78 [257]~E(x2571,x2572)+E(f54(x2573,x2571),f54(x2573,x2572))
% 0.67/0.78 [258]~E(x2581,x2582)+E(f47(x2581,x2583),f47(x2582,x2583))
% 0.67/0.78 [259]~E(x2591,x2592)+E(f47(x2593,x2591),f47(x2593,x2592))
% 0.67/0.78 [260]~E(x2601,x2602)+E(f55(x2601,x2603),f55(x2602,x2603))
% 0.67/0.78 [261]~E(x2611,x2612)+E(f55(x2613,x2611),f55(x2613,x2612))
% 0.67/0.78 [262]~E(x2621,x2622)+E(f52(x2621,x2623),f52(x2622,x2623))
% 0.67/0.78 [263]~E(x2631,x2632)+E(f52(x2633,x2631),f52(x2633,x2632))
% 0.67/0.78 [264]~E(x2641,x2642)+E(f51(x2641),f51(x2642))
% 0.67/0.78 [265]~P1(x2651)+P1(x2652)+~E(x2651,x2652)
% 0.67/0.78 [266]P7(x2662,x2663)+~E(x2661,x2662)+~P7(x2661,x2663)
% 0.67/0.78 [267]P7(x2673,x2672)+~E(x2671,x2672)+~P7(x2673,x2671)
% 0.67/0.78 [268]~P15(x2681)+P15(x2682)+~E(x2681,x2682)
% 0.67/0.78 [269]P10(x2692,x2693)+~E(x2691,x2692)+~P10(x2691,x2693)
% 0.67/0.78 [270]P10(x2703,x2702)+~E(x2701,x2702)+~P10(x2703,x2701)
% 0.67/0.78 [271]~P2(x2711)+P2(x2712)+~E(x2711,x2712)
% 0.67/0.78 [272]~P19(x2721)+P19(x2722)+~E(x2721,x2722)
% 0.67/0.78 [273]~P3(x2731)+P3(x2732)+~E(x2731,x2732)
% 0.67/0.78 [274]~P17(x2741)+P17(x2742)+~E(x2741,x2742)
% 0.67/0.78 [275]~P16(x2751)+P16(x2752)+~E(x2751,x2752)
% 0.67/0.78 [276]P8(x2762,x2763)+~E(x2761,x2762)+~P8(x2761,x2763)
% 0.67/0.78 [277]P8(x2773,x2772)+~E(x2771,x2772)+~P8(x2773,x2771)
% 0.67/0.78 [278]P14(x2782,x2783)+~E(x2781,x2782)+~P14(x2781,x2783)
% 0.67/0.78 [279]P14(x2793,x2792)+~E(x2791,x2792)+~P14(x2793,x2791)
% 0.67/0.78 [280]~P18(x2801)+P18(x2802)+~E(x2801,x2802)
% 0.67/0.78 [281]P13(x2812,x2813)+~E(x2811,x2812)+~P13(x2811,x2813)
% 0.67/0.78 [282]P13(x2823,x2822)+~E(x2821,x2822)+~P13(x2823,x2821)
% 0.67/0.78 [283]~P4(x2831)+P4(x2832)+~E(x2831,x2832)
% 0.67/0.78 [284]P5(x2842,x2843)+~E(x2841,x2842)+~P5(x2841,x2843)
% 0.67/0.78 [285]P5(x2853,x2852)+~E(x2851,x2852)+~P5(x2853,x2851)
% 0.67/0.78 [286]~P12(x2861)+P12(x2862)+~E(x2861,x2862)
% 0.67/0.78 [287]P11(x2872,x2873)+~E(x2871,x2872)+~P11(x2871,x2873)
% 0.67/0.78 [288]P11(x2883,x2882)+~E(x2881,x2882)+~P11(x2883,x2881)
% 0.67/0.78 [289]P6(x2892,x2893)+~E(x2891,x2892)+~P6(x2891,x2893)
% 0.67/0.78 [290]P6(x2903,x2902)+~E(x2901,x2902)+~P6(x2903,x2901)
% 0.67/0.78 [291]P9(x2912,x2913)+~E(x2911,x2912)+~P9(x2911,x2913)
% 0.67/0.78 [292]P9(x2923,x2922)+~E(x2921,x2922)+~P9(x2923,x2921)
% 0.67/0.78 cnf(293,plain,
% 0.67/0.78 (~P5(x2931,x2931)+~P1(x2931)+~P1(x2931)),
% 0.67/0.78 inference(equality_inference,[],[2])).
% 0.67/0.78 cnf(305,plain,
% 0.67/0.78 (~P5(x3051,x3051)+~P15(x3051)+~P15(x3051)),
% 0.67/0.78 inference(equality_inference,[],[82])).
% 0.67/0.78 cnf(318,plain,
% 0.67/0.78 (E(a2,a1)),
% 0.67/0.78 inference(scs_inference,[],[199,206])).
% 0.67/0.78 cnf(325,plain,
% 0.67/0.78 (P5(a48,a49)),
% 0.67/0.78 inference(scs_inference,[],[198,199,200,201,4,206,183,293,305,284])).
% 0.67/0.78 cnf(336,plain,
% 0.67/0.78 (~P5(a2,a49)+~P14(a46,a2)),
% 0.67/0.78 inference(scs_inference,[],[325,191])).
% 0.67/0.78 cnf(337,plain,
% 0.67/0.78 (P14(a48,a1)),
% 0.67/0.78 inference(scs_inference,[],[325,193])).
% 0.67/0.78 cnf(338,plain,
% 0.67/0.78 (P5(a1,a49)),
% 0.67/0.78 inference(scs_inference,[],[325,195])).
% 0.67/0.78 cnf(341,plain,
% 0.67/0.78 (E(a48,a46)),
% 0.67/0.78 inference(scs_inference,[],[200,5,183,206])).
% 0.67/0.78 cnf(344,plain,
% 0.67/0.78 (~P5(a1,a1)),
% 0.67/0.78 inference(scs_inference,[],[200,202,5,183,206,293,305])).
% 0.67/0.78 cnf(355,plain,
% 0.67/0.78 (P14(a48,a2)),
% 0.67/0.78 inference(scs_inference,[],[199,337,341,278,279])).
% 0.67/0.78 cnf(363,plain,
% 0.67/0.78 (~P14(a46,a2)),
% 0.67/0.78 inference(scs_inference,[],[199,204,337,338,202,318,341,344,84,278,279,305,285,207,284,82,336])).
% 0.67/0.78 cnf(374,plain,
% 0.67/0.78 ($false),
% 0.67/0.78 inference(scs_inference,[],[363,203,341,355,305,278]),
% 0.67/0.78 ['proof']).
% 0.67/0.78 % SZS output end Proof
% 0.67/0.78 % Total time : 70.100000 s
%------------------------------------------------------------------------------