%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : NUM180-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n019.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 12:23:24 EDT 2024
% Result : Unsatisfiable 58.92s 59.05s
% Output : CNFRefutation 58.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM180-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n019.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
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Jun 22 22:28:24 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.50/0.57 start to proof:theBenchmark
% 58.87/59.04 %-------------------------------------------
% 58.87/59.04 % File :CSE---1.7
% 58.87/59.04 % Problem :theBenchmark
% 58.87/59.04 % Transform :cnf
% 58.87/59.04 % Format :tptp:raw
% 58.87/59.04 % Command :java -jar mcs_scs.jar %d %s
% 58.87/59.04
% 58.87/59.04 % Result :Theorem 58.290000s
% 58.87/59.04 % Output :CNFRefutation 58.290000s
% 58.87/59.04 %-------------------------------------------
% 58.92/59.05 %--------------------------------------------------------------------------
% 58.92/59.05 % File : NUM180-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 58.92/59.05 % Domain : Number Theory (Ordinals)
% 58.92/59.05 % Problem : Limit ordinals are ordinals
% 58.92/59.05 % Version : [Qua92] axioms.
% 58.92/59.05 % English :
% 58.92/59.05
% 58.92/59.05 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 58.92/59.05 % Source : [Quaife]
% 58.92/59.05 % Names : LIM2.1 [Quaife]
% 58.92/59.05
% 58.92/59.05 % Status : Unsatisfiable
% 58.92/59.05 % Rating : 0.15 v8.2.0, 0.19 v8.1.0, 0.11 v7.5.0, 0.16 v7.4.0, 0.18 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.20 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.21 v6.0.0, 0.10 v5.5.0, 0.35 v5.3.0, 0.28 v5.2.0, 0.25 v5.1.0, 0.29 v4.1.0, 0.15 v4.0.1, 0.09 v4.0.0, 0.18 v3.7.0, 0.20 v3.5.0, 0.18 v3.4.0, 0.08 v3.3.0, 0.07 v3.2.0, 0.15 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.1.0
% 58.92/59.05 % Syntax : Number of clauses : 159 ( 47 unt; 12 nHn; 120 RR)
% 58.92/59.05 % Number of literals : 323 ( 71 equ; 156 neg)
% 58.92/59.05 % Maximal clause size : 5 ( 2 avg)
% 58.92/59.05 % Maximal term depth : 6 ( 1 avg)
% 58.92/59.05 % Number of predicates : 17 ( 16 usr; 0 prp; 1-3 aty)
% 58.92/59.05 % Number of functors : 62 ( 62 usr; 18 con; 0-3 aty)
% 58.92/59.05 % Number of variables : 303 ( 40 sgn)
% 58.92/59.05 % SPC : CNF_UNS_RFO_SEQ_NHN
% 58.92/59.05
% 58.92/59.05 % Comments : Not in [Qua92]. Theorem LIM2.1 in [Quaife].
% 58.92/59.05 % : Quaife proves all these problems by augmenting the axioms with
% 58.92/59.05 % all previously proved theorems. The user may create an augmented
% 58.92/59.05 % version of this problem by adding all previously proved theorems.
% 58.92/59.05 % These include all of [Qua92]'s set theory and Boolean algebra
% 58.92/59.05 % theorems, available from the SET domain.
% 58.92/59.05 % Bugfixes : v1.0.1 - Bugfix in SET004-1.ax.
% 58.92/59.05 % : v2.1.0 - Bugfix in SET004-0.ax.
% 58.92/59.05 %--------------------------------------------------------------------------
% 58.92/59.05 %----Include von Neuman-Bernays-Godel set theory axioms
% 58.92/59.05 include('Axioms/SET004-0.ax').
% 58.92/59.05 %----Include Set theory (Boolean algebra) axioms based on NBG set theory
% 58.92/59.05 include('Axioms/SET004-1.ax').
% 58.92/59.05 %----Include ordinal number theory axioms.
% 58.92/59.05 include('Axioms/NUM004-0.ax').
% 58.92/59.05 %--------------------------------------------------------------------------
% 58.92/59.05 cnf(prove_limit_ordinals_are_ordinals_1,negated_conjecture,
% 58.92/59.05 ~ subclass(limit_ordinals,ordinal_numbers) ).
% 58.92/59.05
% 58.92/59.05 %--------------------------------------------------------------------------
% 58.92/59.05 %-------------------------------------------
% 58.92/59.05 % Proof found
% 58.92/59.05 % SZS status Theorem for theBenchmark
% 58.92/59.05 % SZS output start Proof
% 58.92/59.05 %ClaNum:214(EqnAxiom:74)
% 58.92/59.05 %VarNum:1151(SingletonVarNum:271)
% 58.92/59.05 %MaxLitNum:5
% 58.92/59.05 %MaxfuncDepth:24
% 58.92/59.05 %SharedTerms:66
% 58.92/59.05 %goalClause: 102
% 58.92/59.05 %singleGoalClaCount:1
% 58.92/59.05 [75]P1(a1)
% 58.92/59.05 [76]P2(a2)
% 58.92/59.05 [77]P7(a1,a27)
% 58.92/59.05 [102]~P10(a20,a28)
% 58.92/59.05 [80]P10(a9,f10(a27,a27))
% 58.92/59.05 [81]P10(a31,f10(a27,a27))
% 58.92/59.05 [82]P10(a14,f10(a27,a27))
% 58.92/59.05 [83]P10(a32,f10(a27,a27))
% 58.92/59.05 [84]P10(a42,f10(a27,a27))
% 58.92/59.05 [79]E(f8(f7(a6),a28),a20)
% 58.92/59.05 [89]P10(a13,f10(a27,f10(a27,a27)))
% 58.92/59.05 [90]P10(a3,f10(a27,f10(a27,a27)))
% 58.92/59.05 [91]E(f8(f7(f12(a9,f7(a16))),a9),a37)
% 58.92/59.05 [95]E(f8(f15(f17(f10(a41,a27))),a41),a16)
% 58.92/59.05 [96]E(f8(f10(a27,a27),f8(f10(a27,a27),f7(f12(f7(a9),f15(f17(f10(a9,a27))))))),a41)
% 58.92/59.05 [98]E(f7(f8(f7(f43(a22,a22)),f7(f15(f15(f17(f10(f8(a31,f10(a28,a27)),a27))))))),a6)
% 58.92/59.05 [78]P10(x781,a27)
% 58.92/59.05 [86]P10(f11(x861),f10(a27,a27))
% 58.92/59.05 [87]P10(f33(x871),f10(a27,a27))
% 58.92/59.05 [93]P10(f38(x931),f10(f10(a27,a27),a27))
% 58.92/59.05 [94]P10(f17(x941),f10(f10(a27,a27),a27))
% 58.92/59.05 [97]E(f8(f15(x971),f7(f15(f8(f12(f15(f17(f10(a9,a27))),x971),a16)))),f5(x971))
% 58.92/59.05 [101]E(f18(f23(f8(x1011,f10(f15(f15(f17(f10(f8(f15(f17(f10(x1011,a27))),f10(f43(f18(f23(f12(x1011,f15(f17(f10(x1011,a27)))),a16)),f18(f23(f12(x1011,f15(f17(f10(x1011,a27)))),a16))),a27)),a27)))),f43(f39(f23(f12(x1011,f15(f17(f10(x1011,a27)))),a16)),f39(f23(f12(x1011,f15(f17(f10(x1011,a27)))),a16))))),a22)),f40(x1011))
% 58.92/59.05 [85]P7(f43(x851,x852),a27)
% 58.92/59.05 [88]P10(f12(x881,x882),f10(a27,a27))
% 58.92/59.05 [100]E(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(f34(x1001,a31,a42),f10(f43(x1002,x1002),a27)),a27))))))),f30(x1001,x1002))
% 58.92/59.05 [99]E(f34(a22,f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(a4,f10(f43(x991,x991),a27)),a27))))))),a42),f29(x991,x992))
% 58.92/59.05 [92]E(f8(f10(x921,x922),x923),f8(x923,f10(x921,x922)))
% 58.92/59.05 [103]~P11(x1031)+P2(x1031)
% 58.92/59.05 [104]~P12(x1041)+P2(x1041)
% 58.92/59.05 [108]~P1(x1081)+P10(a1,x1081)
% 58.92/59.05 [109]~P1(x1091)+P7(a22,x1091)
% 58.92/59.05 [113]~P7(x1131,a28)+P15(a9,x1131)
% 58.92/59.05 [105]P7(x1051,a1)+E(f19(x1051),a22)
% 58.92/59.05 [111]P7(f35(x1111),x1111)+E(x1111,a22)
% 58.92/59.05 [112]~P7(x1121,a1)+E(f19(x1121),x1121)
% 58.92/59.05 [117]~P2(x1171)+P10(x1171,f10(a27,a27))
% 58.92/59.05 [110]E(x1101,a22)+E(f8(x1101,f35(x1101)),a22)
% 58.92/59.05 [128]~P12(x1281)+E(f10(f15(f15(x1281)),f15(f15(x1281))),f15(x1281))
% 58.92/59.05 [146]~P11(x1461)+P2(f15(f17(f10(x1461,a27))))
% 58.92/59.06 [151]~P7(x1511,a27)+P7(f15(f8(a9,f10(a27,x1511))),a27)
% 58.92/59.06 [152]~P7(x1521,a28)+P10(f15(f8(a9,f10(a27,x1521))),x1521)
% 58.92/59.06 [155]~P14(x1551)+P10(f12(x1551,f15(f17(f10(x1551,a27)))),a16)
% 58.92/59.06 [156]~P2(x1561)+P10(f12(x1561,f15(f17(f10(x1561,a27)))),a16)
% 58.92/59.06 [157]~P12(x1571)+P10(f15(f15(f17(f10(x1571,a27)))),f15(f15(x1571)))
% 58.92/59.06 [167]~P7(x1671,a27)+P7(f43(f43(x1671,x1671),f43(x1671,f43(f15(x1671),f15(x1671)))),a14)
% 58.92/59.06 [168]~P7(x1681,a27)+P7(f43(f43(x1681,x1681),f43(x1681,f43(f33(x1681),f33(x1681)))),a32)
% 58.92/59.06 [172]P14(x1721)+~P10(f12(x1721,f15(f17(f10(x1721,a27)))),a16)
% 58.92/59.06 [192]~P1(x1921)+P10(f15(f15(f17(f10(f8(a31,f10(x1921,a27)),a27)))),x1921)
% 58.92/59.06 [198]~P7(x1981,a27)+P7(f7(f15(f15(f17(f10(f8(a9,f10(f7(x1981),a27)),a27))))),a27)
% 58.92/59.06 [106]~E(x1062,x1061)+P10(x1061,x1062)
% 58.92/59.06 [107]~E(x1071,x1072)+P10(x1071,x1072)
% 58.92/59.06 [116]~P15(x1161,x1162)+P3(x1161,x1162)
% 58.92/59.06 [114]P2(x1141)+~P7(x1142,f36(x1141))
% 58.92/59.06 [115]P2(x1151)+~P7(x1151,f36(x1152))
% 58.92/59.06 [119]~P7(x1191,f36(x1192))+P7(f15(x1191),a28)
% 58.92/59.06 [121]P10(x1211,x1212)+P7(f23(x1211,x1212),x1211)
% 58.92/59.06 [122]~P7(x1221,x1222)+~P7(x1221,f7(x1222))
% 58.92/59.06 [126]~P7(x1261,a27)+P7(x1261,f43(x1262,x1261))
% 58.92/59.06 [127]~P7(x1271,a27)+P7(x1271,f43(x1271,x1272))
% 58.92/59.06 [133]P10(x1331,x1332)+~P7(f23(x1331,x1332),x1332)
% 58.92/59.06 [120]~P7(x1202,f36(x1201))+E(f12(x1201,f33(x1202)),x1202)
% 58.92/59.06 [145]~P9(x1451,x1452)+P10(f8(x1451,f10(x1452,x1452)),f7(a16))
% 58.92/59.06 [149]P9(x1491,x1492)+~P10(f8(x1491,f10(x1492,x1492)),f7(a16))
% 58.92/59.06 [161]~P5(x1611,x1612)+E(f8(f8(x1611,f15(f17(f10(x1611,a27)))),f10(x1612,x1612)),a22)
% 58.92/59.06 [180]P5(x1801,x1802)+~E(f8(f8(x1801,f15(f17(f10(x1801,a27)))),f10(x1802,x1802)),a22)
% 58.92/59.06 [150]~P7(x1502,f15(x1501))+~E(f8(x1501,f10(f43(x1502,x1502),a27)),a22)
% 58.92/59.06 [169]E(f15(x1691),x1692)+~P7(f43(f43(x1691,x1691),f43(x1691,f43(x1692,x1692))),a14)
% 58.92/59.06 [170]E(f33(x1701),x1702)+~P7(f43(f43(x1701,x1701),f43(x1701,f43(x1702,x1702))),a32)
% 58.92/59.06 [171]P7(x1711,x1712)+~P7(f43(f43(x1711,x1711),f43(x1711,f43(x1712,x1712))),a9)
% 58.92/59.06 [179]~P16(x1791,x1792)+P10(f12(f8(x1791,f10(x1792,x1792)),f8(x1791,f10(x1792,x1792))),f8(x1791,f10(x1792,x1792)))
% 58.92/59.06 [187]P16(x1871,x1872)+~P10(f12(f8(x1871,f10(x1872,x1872)),f8(x1871,f10(x1872,x1872))),f8(x1871,f10(x1872,x1872)))
% 58.92/59.06 [184]~P7(f43(f43(x1841,x1841),f43(x1841,f43(x1842,x1842))),a31)+E(f7(f8(f7(x1841),f7(f43(x1841,x1841)))),x1842)
% 58.92/59.06 [193]~P7(f43(f43(x1931,x1931),f43(x1931,f43(x1932,x1932))),a42)+E(f15(f8(a9,f10(a27,f15(f15(f17(f10(x1931,a27))))))),x1932)
% 58.92/59.06 [204]~P7(f43(f43(x2041,x2041),f43(x2041,f43(x2042,x2042))),f10(a27,a27))+P7(f43(f43(x2041,x2041),f43(x2041,f43(f43(f43(x2042,x2042),f43(x2042,f43(f12(x2041,x2042),f12(x2041,x2042)))),f43(f43(x2042,x2042),f43(x2042,f43(f12(x2041,x2042),f12(x2041,x2042))))))),a13)
% 58.92/59.06 [203]~P3(x2032,x2031)+P10(f10(x2031,x2031),f7(f8(f7(a16),f7(f7(f8(f7(x2032),f7(f15(f17(f10(x2032,a27))))))))))
% 58.92/59.06 [205]P3(x2051,x2052)+~P10(f10(x2052,x2052),f7(f8(f7(a16),f7(f7(f8(f7(x2051),f7(f15(f17(f10(x2051,a27))))))))))
% 58.92/59.06 [136]P2(x1361)+~P4(x1361,x1362,x1363)
% 58.92/59.06 [137]P2(x1371)+~P8(x1371,x1372,x1373)
% 58.92/59.06 [138]P12(x1381)+~P6(x1382,x1383,x1381)
% 58.92/59.06 [139]P12(x1391)+~P6(x1392,x1391,x1393)
% 58.92/59.06 [142]P10(x1421,x1422)+~P13(x1423,x1421,x1422)
% 58.92/59.06 [148]~P6(x1481,x1482,x1483)+P4(x1481,x1482,x1483)
% 58.92/59.06 [131]P7(x1311,x1312)+~P7(x1311,f8(x1313,x1312))
% 58.92/59.06 [132]P7(x1321,x1322)+~P7(x1321,f8(x1322,x1323))
% 58.92/59.06 [140]~P8(x1401,x1402,x1403)+E(f15(x1401),x1402)
% 58.92/59.06 [143]~P4(x1432,x1431,x1433)+E(f15(f15(x1431)),f15(x1432))
% 58.92/59.06 [154]~P13(x1541,x1543,x1542)+P10(f15(f8(x1541,f10(x1542,x1543))),x1543)
% 58.92/59.06 [173]E(f12(x1731,x1732),x1733)+~P7(f43(f43(x1732,x1732),f43(x1732,f43(x1733,x1733))),f11(x1731))
% 58.92/59.06 [174]P7(x1741,f15(x1742))+~P7(f43(f43(x1741,x1741),f43(x1741,f43(x1743,x1743))),f33(x1742))
% 58.92/59.06 [175]E(f8(x1751,f10(x1752,a27)),x1753)+~P7(f43(f43(x1752,x1752),f43(x1752,f43(x1753,x1753))),f33(x1751))
% 58.92/59.06 [158]~P7(x1581,f10(x1582,x1583))+E(f43(f43(f18(x1581),f18(x1581)),f43(f18(x1581),f43(f39(x1581),f39(x1581)))),x1581)
% 58.92/59.06 [163]~P8(x1631,x1633,x1632)+P10(f15(f15(f17(f10(x1631,a27)))),x1632)
% 58.92/59.06 [164]~P4(x1641,x1643,x1642)+P10(f15(f15(f17(f10(x1641,a27)))),f15(f15(x1642)))
% 58.92/59.06 [199]E(f12(x1991,x1992),x1993)+~P7(f43(f43(x1991,x1991),f43(x1991,f43(f43(f43(x1992,x1992),f43(x1992,f43(x1993,x1993))),f43(f43(x1992,x1992),f43(x1992,f43(x1993,x1993)))))),a13)
% 58.92/59.06 [200]P7(x2001,f15(x2002))+~P7(f43(f43(x2002,x2002),f43(x2002,f43(f43(f43(x2001,x2001),f43(x2001,f43(x2003,x2003))),f43(f43(x2001,x2001),f43(x2001,f43(x2003,x2003)))))),a3)
% 58.92/59.06 [208]~P7(f43(f43(x2081,x2081),f43(x2081,f43(f43(f43(x2082,x2082),f43(x2082,f43(x2083,x2083))),f43(f43(x2082,x2082),f43(x2082,f43(x2083,x2083)))))),a3)+E(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2081,f10(f43(x2082,x2082),a27)),a27))))))),x2083)
% 58.92/59.06 [176]P7(x1761,x1762)+~P7(f43(f43(x1763,x1763),f43(x1763,f43(x1761,x1761))),f10(x1764,x1762))
% 58.92/59.06 [177]P7(x1771,x1772)+~P7(f43(f43(x1771,x1771),f43(x1771,f43(x1773,x1773))),f10(x1772,x1774))
% 58.92/59.06 [201]~P7(f43(f43(f43(f43(x2013,x2013),f43(x2013,f43(x2011,x2011))),f43(f43(x2013,x2013),f43(x2013,f43(x2011,x2011)))),f43(f43(f43(x2013,x2013),f43(x2013,f43(x2011,x2011))),f43(x2012,x2012))),f38(x2014))+P7(f43(f43(f43(f43(x2011,x2011),f43(x2011,f43(x2012,x2012))),f43(f43(x2011,x2011),f43(x2011,f43(x2012,x2012)))),f43(f43(f43(x2011,x2011),f43(x2011,f43(x2012,x2012))),f43(x2013,x2013))),x2014)
% 58.92/59.06 [202]~P7(f43(f43(f43(f43(x2022,x2022),f43(x2022,f43(x2021,x2021))),f43(f43(x2022,x2022),f43(x2022,f43(x2021,x2021)))),f43(f43(f43(x2022,x2022),f43(x2022,f43(x2021,x2021))),f43(x2023,x2023))),f17(x2024))+P7(f43(f43(f43(f43(x2021,x2021),f43(x2021,f43(x2022,x2022))),f43(f43(x2021,x2021),f43(x2021,f43(x2022,x2022)))),f43(f43(f43(x2021,x2021),f43(x2021,f43(x2022,x2022))),f43(x2023,x2023))),x2024)
% 58.92/59.06 [210]~P7(f43(f43(x2104,x2104),f43(x2104,f43(x2101,x2101))),f12(x2102,x2103))+P7(x2101,f15(f15(f17(f10(f8(x2102,f10(f15(f15(f17(f10(f8(x2103,f10(f43(x2104,x2104),a27)),a27)))),a27)),a27)))))
% 58.92/59.06 [153]~P2(x1531)+P11(x1531)+~P2(f15(f17(f10(x1531,a27))))
% 58.92/59.06 [181]P2(x1811)+~P10(x1811,f10(a27,a27))+~P10(f12(x1811,f15(f17(f10(x1811,a27)))),a16)
% 58.92/59.06 [195]P1(x1951)+~P7(a22,x1951)+~P10(f15(f15(f17(f10(f8(a31,f10(x1951,a27)),a27)))),x1951)
% 58.92/59.06 [209]~P7(x2091,a27)+E(x2091,a22)+P7(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(a2,f10(f43(x2091,x2091),a27)),a27))))))),x2091)
% 58.92/59.06 [118]~P10(x1182,x1181)+~P10(x1181,x1182)+E(x1181,x1182)
% 58.92/59.06 [123]P7(x1231,x1232)+P7(x1231,f7(x1232))+~P7(x1231,a27)
% 58.92/59.06 [124]~P3(x1241,x1242)+P15(x1241,x1242)+~E(f26(x1241,x1242),a22)
% 58.92/59.06 [130]~P3(x1301,x1302)+P15(x1301,x1302)+P10(f26(x1301,x1302),x1302)
% 58.92/59.06 [147]P7(x1472,f15(x1471))+~P7(x1472,a27)+E(f8(x1471,f10(f43(x1472,x1472),a27)),a22)
% 58.92/59.06 [188]~P7(x1881,x1882)+~P7(f43(f43(x1881,x1881),f43(x1881,f43(x1882,x1882))),f10(a27,a27))+P7(f43(f43(x1881,x1881),f43(x1881,f43(x1882,x1882))),a9)
% 58.92/59.06 [178]~P2(x1781)+P8(x1781,f15(x1781),x1782)+~P10(f15(f15(f17(f10(x1781,a27)))),x1782)
% 58.92/59.06 [190]~P7(f43(f43(x1901,x1901),f43(x1901,f43(x1902,x1902))),f10(a27,a27))+~E(f7(f8(f7(x1901),f7(f43(x1901,x1901)))),x1902)+P7(f43(f43(x1901,x1901),f43(x1901,f43(x1902,x1902))),a31)
% 58.92/59.06 [194]~P2(x1941)+~P7(x1942,a27)+P7(f15(f15(f17(f10(f8(x1941,f10(x1942,a27)),a27)))),a27)
% 58.92/59.06 [196]~P7(f43(f43(x1961,x1961),f43(x1961,f43(x1962,x1962))),f10(a27,a27))+P7(f43(f43(x1961,x1961),f43(x1961,f43(x1962,x1962))),a42)+~E(f15(f8(a9,f10(a27,f15(f15(f17(f10(x1961,a27))))))),x1962)
% 58.92/59.06 [125]~P7(x1251,x1253)+P7(x1251,x1252)+~P10(x1253,x1252)
% 58.92/59.06 [129]E(x1291,x1292)+E(x1291,x1293)+~P7(x1291,f43(x1293,x1292))
% 58.92/59.06 [134]~P7(x1341,x1343)+~P7(x1341,x1342)+P7(x1341,f8(x1342,x1343))
% 58.92/59.06 [165]~P7(x1651,f15(x1653))+~E(f8(x1653,f10(x1651,a27)),x1652)+P7(f43(f43(x1651,x1651),f43(x1651,f43(x1652,x1652))),f33(x1653))
% 58.92/59.06 [166]~P10(x1662,x1663)+P13(x1661,x1662,x1663)+~P10(f15(f8(x1661,f10(x1663,x1662))),x1662)
% 58.92/59.06 [189]~E(f12(x1893,x1891),x1892)+P7(f43(f43(x1891,x1891),f43(x1891,f43(x1892,x1892))),f11(x1893))+~P7(f43(f43(x1891,x1891),f43(x1891,f43(x1892,x1892))),f10(a27,a27))
% 58.92/59.06 [186]~P15(x1861,x1863)+~P10(x1862,x1863)+E(f15(f8(x1861,f10(x1862,f43(f21(x1861,x1862),f21(x1861,x1862))))),a22)
% 58.92/59.06 [212]~P7(x2122,f15(x2121))+~P7(f43(f43(x2121,x2121),f43(x2121,f43(f43(f43(x2122,x2122),f43(x2122,f43(x2123,x2123))),f43(f43(x2122,x2122),f43(x2122,f43(x2123,x2123)))))),f10(a27,f10(a27,a27)))+P7(f43(f43(x2121,x2121),f43(x2121,f43(f43(f43(x2122,x2122),f43(x2122,f43(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2121,f10(f43(x2122,x2122),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2121,f10(f43(x2122,x2122),a27)),a27)))))))))),f43(f43(x2122,x2122),f43(x2122,f43(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2121,f10(f43(x2122,x2122),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2121,f10(f43(x2122,x2122),a27)),a27))))))))))))),a3)
% 58.92/59.06 [162]~P7(x1622,x1624)+~P7(x1621,x1623)+P7(f43(f43(x1621,x1621),f43(x1621,f43(x1622,x1622))),f10(x1623,x1624))
% 58.92/59.06 [206]~P7(f43(f43(f43(f43(x2062,x2062),f43(x2062,f43(x2063,x2063))),f43(f43(x2062,x2062),f43(x2062,f43(x2063,x2063)))),f43(f43(f43(x2062,x2062),f43(x2062,f43(x2063,x2063))),f43(x2061,x2061))),x2064)+P7(f43(f43(f43(f43(x2061,x2061),f43(x2061,f43(x2062,x2062))),f43(f43(x2061,x2061),f43(x2061,f43(x2062,x2062)))),f43(f43(f43(x2061,x2061),f43(x2061,f43(x2062,x2062))),f43(x2063,x2063))),f38(x2064))+~P7(f43(f43(f43(f43(x2061,x2061),f43(x2061,f43(x2062,x2062))),f43(f43(x2061,x2061),f43(x2061,f43(x2062,x2062)))),f43(f43(f43(x2061,x2061),f43(x2061,f43(x2062,x2062))),f43(x2063,x2063))),f10(f10(a27,a27),a27))
% 58.92/59.06 [207]~P7(f43(f43(f43(f43(x2072,x2072),f43(x2072,f43(x2071,x2071))),f43(f43(x2072,x2072),f43(x2072,f43(x2071,x2071)))),f43(f43(f43(x2072,x2072),f43(x2072,f43(x2071,x2071))),f43(x2073,x2073))),x2074)+P7(f43(f43(f43(f43(x2071,x2071),f43(x2071,f43(x2072,x2072))),f43(f43(x2071,x2071),f43(x2071,f43(x2072,x2072)))),f43(f43(f43(x2071,x2071),f43(x2071,f43(x2072,x2072))),f43(x2073,x2073))),f17(x2074))+~P7(f43(f43(f43(f43(x2071,x2071),f43(x2071,f43(x2072,x2072))),f43(f43(x2071,x2071),f43(x2071,f43(x2072,x2072)))),f43(f43(f43(x2071,x2071),f43(x2071,f43(x2072,x2072))),f43(x2073,x2073))),f10(f10(a27,a27),a27))
% 58.92/59.06 [211]~P7(f43(f43(x2111,x2111),f43(x2111,f43(x2112,x2112))),f10(a27,a27))+P7(f43(f43(x2111,x2111),f43(x2111,f43(x2112,x2112))),f12(x2113,x2114))+~P7(x2112,f15(f15(f17(f10(f8(x2113,f10(f15(f15(f17(f10(f8(x2114,f10(f43(x2111,x2111),a27)),a27)))),a27)),a27)))))
% 58.92/59.06 [213]~P6(x2132,x2135,x2131)+~P7(f43(f43(x2133,x2133),f43(x2133,f43(x2134,x2134))),f15(x2135))+E(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2131,f10(f43(f43(f43(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2132,f10(f43(x2133,x2133),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2132,f10(f43(x2133,x2133),a27)),a27)))))))),f43(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2132,f10(f43(x2133,x2133),a27)),a27))))))),f43(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2132,f10(f43(x2134,x2134),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2132,f10(f43(x2134,x2134),a27)),a27)))))))))),f43(f43(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2132,f10(f43(x2133,x2133),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2132,f10(f43(x2133,x2133),a27)),a27)))))))),f43(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2132,f10(f43(x2133,x2133),a27)),a27))))))),f43(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2132,f10(f43(x2134,x2134),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2132,f10(f43(x2134,x2134),a27)),a27))))))))))),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2132,f10(f43(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2135,f10(f43(f43(f43(x2133,x2133),f43(x2133,f43(x2134,x2134))),f43(f43(x2133,x2133),f43(x2133,f43(x2134,x2134)))),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2135,f10(f43(f43(f43(x2133,x2133),f43(x2133,f43(x2134,x2134))),f43(f43(x2133,x2133),f43(x2133,f43(x2134,x2134)))),a27)),a27)))))))),a27)),a27))))))))
% 58.92/59.06 [159]P7(x1591,a28)+~P15(a9,x1591)+E(x1591,a28)+~P10(f15(f8(a9,f10(a27,x1591))),x1591)
% 58.92/59.06 [160]~P7(x1601,a27)+~P15(a9,x1601)+P7(x1601,a28)+~P10(f15(f8(a9,f10(a27,x1601))),x1601)
% 58.92/59.06 [183]~P2(x1831)+P12(x1831)+~E(f10(f15(f15(x1831)),f15(f15(x1831))),f15(x1831))+~P10(f15(f15(f17(f10(x1831,a27)))),f15(f15(x1831)))
% 58.92/59.06 [135]~P15(x1352,x1353)+~P10(x1351,x1353)+P7(f21(x1352,x1351),x1351)+E(x1351,a22)
% 58.92/59.06 [182]~P2(x1821)+P4(x1821,x1822,x1823)+~E(f15(f15(x1822)),f15(x1821))+~P10(f15(f15(f17(f10(x1821,a27)))),f15(f15(x1823)))
% 58.92/59.06 [185]~P3(x1851,x1852)+P15(x1851,x1852)+~P7(x1853,f26(x1851,x1852))+~E(f15(f8(x1851,f10(f26(x1851,x1852),f43(x1853,x1853)))),a22)
% 58.92/59.06 [144]~P15(x1441,x1443)+~P10(x1442,x1443)+~P7(x1444,x1442)+P7(f21(x1441,x1442),x1442)
% 58.92/59.06 [191]~P10(x1911,x1912)+~P7(x1913,x1911)+~P15(x1914,x1912)+~P7(f43(f43(x1913,x1913),f43(x1913,f43(f21(x1914,x1911),f21(x1914,x1911)))),x1914)
% 58.92/59.06 [141]~P2(x1411)+~P2(x1412)+P7(x1411,f36(x1412))+~E(f12(x1412,f33(x1411)),x1411)+~P7(f15(x1411),a28)
% 58.92/59.06 [197]~P12(x1973)+~P12(x1972)+~P4(x1971,x1972,x1973)+P6(x1971,x1972,x1973)+P7(f43(f43(f24(x1971,x1972,x1973),f24(x1971,x1972,x1973)),f43(f24(x1971,x1972,x1973),f43(f25(x1971,x1972,x1973),f25(x1971,x1972,x1973)))),f15(x1972))
% 58.92/59.06 [214]~P12(x2143)+~P12(x2142)+~P4(x2141,x2142,x2143)+P6(x2141,x2142,x2143)+~E(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2143,f10(f43(f43(f43(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2141,f10(f43(f24(x2141,x2142,x2143),f24(x2141,x2142,x2143)),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2141,f10(f43(f24(x2141,x2142,x2143),f24(x2141,x2142,x2143)),a27)),a27)))))))),f43(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2141,f10(f43(f24(x2141,x2142,x2143),f24(x2141,x2142,x2143)),a27)),a27))))))),f43(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2141,f10(f43(f25(x2141,x2142,x2143),f25(x2141,x2142,x2143)),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2141,f10(f43(f25(x2141,x2142,x2143),f25(x2141,x2142,x2143)),a27)),a27)))))))))),f43(f43(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2141,f10(f43(f24(x2141,x2142,x2143),f24(x2141,x2142,x2143)),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2141,f10(f43(f24(x2141,x2142,x2143),f24(x2141,x2142,x2143)),a27)),a27)))))))),f43(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2141,f10(f43(f24(x2141,x2142,x2143),f24(x2141,x2142,x2143)),a27)),a27))))))),f43(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2141,f10(f43(f25(x2141,x2142,x2143),f25(x2141,x2142,x2143)),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2141,f10(f43(f25(x2141,x2142,x2143),f25(x2141,x2142,x2143)),a27)),a27))))))))))),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2141,f10(f43(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2142,f10(f43(f43(f43(f24(x2141,x2142,x2143),f24(x2141,x2142,x2143)),f43(f24(x2141,x2142,x2143),f43(f25(x2141,x2142,x2143),f25(x2141,x2142,x2143)))),f43(f43(f24(x2141,x2142,x2143),f24(x2141,x2142,x2143)),f43(f24(x2141,x2142,x2143),f43(f25(x2141,x2142,x2143),f25(x2141,x2142,x2143))))),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2142,f10(f43(f43(f43(f24(x2141,x2142,x2143),f24(x2141,x2142,x2143)),f43(f24(x2141,x2142,x2143),f43(f25(x2141,x2142,x2143),f25(x2141,x2142,x2143)))),f43(f43(f24(x2141,x2142,x2143),f24(x2141,x2142,x2143)),f43(f24(x2141,x2142,x2143),f43(f25(x2141,x2142,x2143),f25(x2141,x2142,x2143))))),a27)),a27)))))))),a27)),a27))))))))
% 58.92/59.06 %EqnAxiom
% 58.92/59.06 [1]E(x11,x11)
% 58.92/59.06 [2]E(x22,x21)+~E(x21,x22)
% 58.92/59.06 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 58.92/59.06 [4]~E(x41,x42)+E(f7(x41),f7(x42))
% 58.92/59.06 [5]~E(x51,x52)+E(f8(x51,x53),f8(x52,x53))
% 58.92/59.06 [6]~E(x61,x62)+E(f8(x63,x61),f8(x63,x62))
% 58.92/59.06 [7]~E(x71,x72)+E(f10(x71,x73),f10(x72,x73))
% 58.92/59.06 [8]~E(x81,x82)+E(f10(x83,x81),f10(x83,x82))
% 58.92/59.06 [9]~E(x91,x92)+E(f17(x91),f17(x92))
% 58.92/59.06 [10]~E(x101,x102)+E(f15(x101),f15(x102))
% 58.92/59.06 [11]~E(x111,x112)+E(f43(x111,x113),f43(x112,x113))
% 58.92/59.06 [12]~E(x121,x122)+E(f43(x123,x121),f43(x123,x122))
% 58.92/59.06 [13]~E(x131,x132)+E(f25(x131,x133,x134),f25(x132,x133,x134))
% 58.92/59.06 [14]~E(x141,x142)+E(f25(x143,x141,x144),f25(x143,x142,x144))
% 58.92/59.06 [15]~E(x151,x152)+E(f25(x153,x154,x151),f25(x153,x154,x152))
% 58.92/59.06 [16]~E(x161,x162)+E(f38(x161),f38(x162))
% 58.92/59.06 [17]~E(x171,x172)+E(f11(x171),f11(x172))
% 58.92/59.06 [18]~E(x181,x182)+E(f35(x181),f35(x182))
% 58.92/59.06 [19]~E(x191,x192)+E(f33(x191),f33(x192))
% 58.92/59.06 [20]~E(x201,x202)+E(f12(x201,x203),f12(x202,x203))
% 58.92/59.06 [21]~E(x211,x212)+E(f12(x213,x211),f12(x213,x212))
% 58.92/59.06 [22]~E(x221,x222)+E(f24(x221,x223,x224),f24(x222,x223,x224))
% 58.92/59.06 [23]~E(x231,x232)+E(f24(x233,x231,x234),f24(x233,x232,x234))
% 58.92/59.06 [24]~E(x241,x242)+E(f24(x243,x244,x241),f24(x243,x244,x242))
% 58.92/59.06 [25]~E(x251,x252)+E(f19(x251),f19(x252))
% 58.92/59.06 [26]~E(x261,x262)+E(f40(x261),f40(x262))
% 58.92/59.06 [27]~E(x271,x272)+E(f29(x271,x273),f29(x272,x273))
% 58.92/59.06 [28]~E(x281,x282)+E(f29(x283,x281),f29(x283,x282))
% 58.92/59.06 [29]~E(x291,x292)+E(f34(x291,x293,x294),f34(x292,x293,x294))
% 58.92/59.06 [30]~E(x301,x302)+E(f34(x303,x301,x304),f34(x303,x302,x304))
% 58.92/59.06 [31]~E(x311,x312)+E(f34(x313,x314,x311),f34(x313,x314,x312))
% 58.92/59.06 [32]~E(x321,x322)+E(f23(x321,x323),f23(x322,x323))
% 58.92/59.06 [33]~E(x331,x332)+E(f23(x333,x331),f23(x333,x332))
% 58.92/59.06 [34]~E(x341,x342)+E(f21(x341,x343),f21(x342,x343))
% 58.92/59.06 [35]~E(x351,x352)+E(f21(x353,x351),f21(x353,x352))
% 58.92/59.06 [36]~E(x361,x362)+E(f18(x361),f18(x362))
% 58.92/59.06 [37]~E(x371,x372)+E(f39(x371),f39(x372))
% 58.92/59.06 [38]~E(x381,x382)+E(f36(x381),f36(x382))
% 58.92/59.06 [39]~E(x391,x392)+E(f30(x391,x393),f30(x392,x393))
% 58.92/59.06 [40]~E(x401,x402)+E(f30(x403,x401),f30(x403,x402))
% 58.92/59.06 [41]~E(x411,x412)+E(f26(x411,x413),f26(x412,x413))
% 58.92/59.06 [42]~E(x421,x422)+E(f26(x423,x421),f26(x423,x422))
% 58.92/59.06 [43]~E(x431,x432)+E(f5(x431),f5(x432))
% 58.92/59.06 [44]~P1(x441)+P1(x442)+~E(x441,x442)
% 58.92/59.06 [45]~P2(x451)+P2(x452)+~E(x451,x452)
% 58.92/59.06 [46]P7(x462,x463)+~E(x461,x462)+~P7(x461,x463)
% 58.92/59.06 [47]P7(x473,x472)+~E(x471,x472)+~P7(x473,x471)
% 58.92/59.06 [48]P10(x482,x483)+~E(x481,x482)+~P10(x481,x483)
% 58.92/59.06 [49]P10(x493,x492)+~E(x491,x492)+~P10(x493,x491)
% 58.92/59.06 [50]~P11(x501)+P11(x502)+~E(x501,x502)
% 58.92/59.06 [51]P13(x512,x513,x514)+~E(x511,x512)+~P13(x511,x513,x514)
% 58.92/59.06 [52]P13(x523,x522,x524)+~E(x521,x522)+~P13(x523,x521,x524)
% 58.92/59.06 [53]P13(x533,x534,x532)+~E(x531,x532)+~P13(x533,x534,x531)
% 58.92/59.06 [54]~P14(x541)+P14(x542)+~E(x541,x542)
% 58.92/59.06 [55]P9(x552,x553)+~E(x551,x552)+~P9(x551,x553)
% 58.92/59.06 [56]P9(x563,x562)+~E(x561,x562)+~P9(x563,x561)
% 58.92/59.06 [57]P6(x572,x573,x574)+~E(x571,x572)+~P6(x571,x573,x574)
% 58.92/59.06 [58]P6(x583,x582,x584)+~E(x581,x582)+~P6(x583,x581,x584)
% 58.92/59.06 [59]P6(x593,x594,x592)+~E(x591,x592)+~P6(x593,x594,x591)
% 58.92/59.06 [60]P4(x602,x603,x604)+~E(x601,x602)+~P4(x601,x603,x604)
% 58.92/59.06 [61]P4(x613,x612,x614)+~E(x611,x612)+~P4(x613,x611,x614)
% 58.92/59.06 [62]P4(x623,x624,x622)+~E(x621,x622)+~P4(x623,x624,x621)
% 58.92/59.06 [63]P5(x632,x633)+~E(x631,x632)+~P5(x631,x633)
% 58.92/59.06 [64]P5(x643,x642)+~E(x641,x642)+~P5(x643,x641)
% 58.92/59.06 [65]~P12(x651)+P12(x652)+~E(x651,x652)
% 58.92/59.06 [66]P3(x662,x663)+~E(x661,x662)+~P3(x661,x663)
% 58.92/59.06 [67]P3(x673,x672)+~E(x671,x672)+~P3(x673,x671)
% 58.92/59.06 [68]P15(x682,x683)+~E(x681,x682)+~P15(x681,x683)
% 58.92/59.06 [69]P15(x693,x692)+~E(x691,x692)+~P15(x693,x691)
% 58.92/59.06 [70]P8(x702,x703,x704)+~E(x701,x702)+~P8(x701,x703,x704)
% 58.92/59.06 [71]P8(x713,x712,x714)+~E(x711,x712)+~P8(x713,x711,x714)
% 58.92/59.06 [72]P8(x723,x724,x722)+~E(x721,x722)+~P8(x723,x724,x721)
% 58.92/59.06 [73]P16(x732,x733)+~E(x731,x732)+~P16(x731,x733)
% 58.92/59.06 [74]P16(x743,x742)+~E(x741,x742)+~P16(x743,x741)
% 58.92/59.06
% 58.92/59.06 %-------------------------------------------
% 58.92/59.06 cnf(215,plain,
% 58.92/59.06 (P10(x2151,x2151)),
% 58.92/59.06 inference(equality_inference,[],[106])).
% 58.92/59.06 cnf(222,plain,
% 58.92/59.06 (~E(a28,a20)),
% 58.92/59.06 inference(scs_inference,[],[102,106])).
% 58.92/59.06 cnf(224,plain,
% 58.92/59.06 (~E(a20,a28)),
% 58.92/59.06 inference(scs_inference,[],[102,106,107])).
% 58.92/59.06 cnf(226,plain,
% 58.92/59.06 (~P13(x2261,a20,a28)),
% 58.92/59.06 inference(scs_inference,[],[102,106,107,142])).
% 58.92/59.06 cnf(230,plain,
% 58.92/59.06 (P10(x2301,a27)),
% 58.92/59.06 inference(rename_variables,[],[78])).
% 58.92/59.06 cnf(233,plain,
% 58.92/59.06 (P10(x2331,x2331)),
% 58.92/59.06 inference(rename_variables,[],[215])).
% 58.92/59.06 cnf(238,plain,
% 58.92/59.06 (~E(a28,f8(f7(a6),a28))),
% 58.92/59.06 inference(scs_inference,[],[102,215,233,79,78,230,76,106,107,142,2,49,166,178,3])).
% 58.92/59.06 cnf(297,plain,
% 58.92/59.06 (P7(f43(x2971,x2972),x2973)+~E(a27,x2973)),
% 58.92/59.06 inference(scs_inference,[],[85,47])).
% 58.92/59.06 cnf(359,plain,
% 58.92/59.06 (P7(a1,x3591)+~E(a27,x3591)),
% 58.92/59.06 inference(scs_inference,[],[77,47])).
% 58.92/59.06 cnf(1230,plain,
% 58.92/59.06 (~P7(a22,f7(a1))),
% 58.92/59.06 inference(scs_inference,[],[75,122,109])).
% 58.92/59.06 cnf(2488,plain,
% 58.92/59.06 (~P7(a1,f7(f43(x24881,a1)))),
% 58.92/59.06 inference(scs_inference,[],[77,126,122])).
% 58.92/59.06 cnf(2491,plain,
% 58.92/59.06 (~E(a27,f7(f43(x24911,a1)))),
% 58.92/59.06 inference(scs_inference,[],[2488,77,123,47])).
% 58.92/59.06 cnf(2533,plain,
% 58.92/59.06 (~P7(a1,f7(f43(a1,x25331)))),
% 58.92/59.06 inference(scs_inference,[],[77,127,122])).
% 58.92/59.06 cnf(2534,plain,
% 58.92/59.07 (P7(a1,f43(a1,x25341))),
% 58.92/59.07 inference(scs_inference,[],[2533,77,123])).
% 58.92/59.07 cnf(2581,plain,
% 58.92/59.07 (~P7(f23(a20,a28),f8(a28,x25811))),
% 58.92/59.07 inference(scs_inference,[],[102,132,133])).
% 58.92/59.07 cnf(2582,plain,
% 58.92/59.07 (~P7(f23(a20,a28),x25821)+~P7(f23(a20,a28),a28)),
% 58.92/59.07 inference(scs_inference,[],[2581,134])).
% 58.92/59.07 cnf(2586,plain,
% 58.92/59.07 (~P7(f23(a20,a28),a28)),
% 58.92/59.07 inference(factoring_inference,[],[2582])).
% 58.92/59.07 cnf(4773,plain,
% 58.92/59.07 (E(f21(f10(x47731,f8(f7(a6),a28)),x47732),f21(f10(x47731,a20),x47732))),
% 58.92/59.07 inference(scs_inference,[],[79,34,8])).
% 58.92/59.07 cnf(4774,plain,
% 58.92/59.07 (E(f21(f10(x47741,a20),x47742),f21(f10(x47741,f8(f7(a6),a28)),x47742))),
% 58.92/59.07 inference(scs_inference,[],[4773,2])).
% 58.92/59.07 cnf(4797,plain,
% 58.92/59.07 (~P7(a1,f7(a27))),
% 58.92/59.07 inference(scs_inference,[],[77,122])).
% 58.92/59.07 cnf(4800,plain,
% 58.92/59.07 (~P7(f23(a20,a28),f8(x48001,a28))),
% 58.92/59.07 inference(scs_inference,[],[2586,77,122,359,131])).
% 58.92/59.07 cnf(4802,plain,
% 58.92/59.07 (~P7(a1,f8(f7(f43(a1,x48021)),x48022))),
% 58.92/59.07 inference(scs_inference,[],[2586,2533,77,122,359,131,132])).
% 58.92/59.07 cnf(4841,plain,
% 58.92/59.07 (E(f25(f21(f10(x48411,a20),x48412),x48413,x48414),f25(f21(f10(x48411,f8(f7(a6),a28)),x48412),x48413,x48414))),
% 58.92/59.07 inference(scs_inference,[],[2586,4774,2533,76,77,85,122,359,131,132,117,126,127,4,9,10,16,17,18,19,25,26,36,37,38,43,5,6,7,8,11,12,20,21,27,28,32,33,34,35,39,40,41,42,13])).
% 58.92/59.07 cnf(4852,plain,
% 58.92/59.07 (P7(f15(f8(a9,f10(a27,a1))),a27)),
% 58.92/59.07 inference(scs_inference,[],[2586,4774,2533,76,77,85,122,359,131,132,117,126,127,4,9,10,16,17,18,19,25,26,36,37,38,43,5,6,7,8,11,12,20,21,27,28,32,33,34,35,39,40,41,42,13,14,15,22,23,24,29,30,31,156,151])).
% 58.92/59.07 cnf(4856,plain,
% 58.92/59.07 (~P7(f43(f43(f23(a20,a28),f23(a20,a28)),f43(f23(a20,a28),f43(x48561,x48561))),f10(a28,x48562))),
% 58.92/59.07 inference(scs_inference,[],[2586,4774,2533,76,77,85,122,359,131,132,117,126,127,4,9,10,16,17,18,19,25,26,36,37,38,43,5,6,7,8,11,12,20,21,27,28,32,33,34,35,39,40,41,42,13,14,15,22,23,24,29,30,31,156,151,171,177])).
% 58.92/59.07 cnf(4868,plain,
% 58.92/59.07 (P7(a22,a1)),
% 58.92/59.07 inference(scs_inference,[],[2586,75,4774,2533,76,77,85,122,359,131,132,117,126,127,4,9,10,16,17,18,19,25,26,36,37,38,43,5,6,7,8,11,12,20,21,27,28,32,33,34,35,39,40,41,42,13,14,15,22,23,24,29,30,31,156,151,171,177,192,106,168,167,107,109])).
% 58.92/59.07 cnf(4870,plain,
% 58.92/59.07 (P7(f23(a20,a28),a20)),
% 58.92/59.07 inference(scs_inference,[],[102,2586,75,4774,2533,76,77,85,122,359,131,132,117,126,127,4,9,10,16,17,18,19,25,26,36,37,38,43,5,6,7,8,11,12,20,21,27,28,32,33,34,35,39,40,41,42,13,14,15,22,23,24,29,30,31,156,151,171,177,192,106,168,167,107,109,121])).
% 58.92/59.07 cnf(4881,plain,
% 58.92/59.07 (~P10(f43(a1,x48811),f7(f43(a1,x48812)))),
% 58.92/59.07 inference(scs_inference,[],[102,222,2586,238,75,4774,2534,2533,76,77,85,122,359,131,132,117,126,127,4,9,10,16,17,18,19,25,26,36,37,38,43,5,6,7,8,11,12,20,21,27,28,32,33,34,35,39,40,41,42,13,14,15,22,23,24,29,30,31,156,151,171,177,192,106,168,167,107,109,121,176,2,194,162,129,125])).
% 58.92/59.07 cnf(4888,plain,
% 58.92/59.07 (~P10(a27,f7(f43(x48881,a1)))),
% 58.92/59.07 inference(scs_inference,[],[102,222,2586,238,2491,75,4774,2534,2533,76,77,85,79,78,122,359,131,132,117,126,127,4,9,10,16,17,18,19,25,26,36,37,38,43,5,6,7,8,11,12,20,21,27,28,32,33,34,35,39,40,41,42,13,14,15,22,23,24,29,30,31,156,151,171,177,192,106,168,167,107,109,121,176,2,194,162,129,125,48,134,123,118])).
% 58.92/59.07 cnf(4892,plain,
% 58.92/59.07 (~E(a1,f7(a1))),
% 58.92/59.07 inference(scs_inference,[],[102,222,226,2586,238,2491,75,4774,2534,2533,76,77,1230,85,79,78,122,359,131,132,117,126,127,4,9,10,16,17,18,19,25,26,36,37,38,43,5,6,7,8,11,12,20,21,27,28,32,33,34,35,39,40,41,42,13,14,15,22,23,24,29,30,31,156,151,171,177,192,106,168,167,107,109,121,176,2,194,162,129,125,48,134,123,118,52,47])).
% 58.92/59.07 cnf(4897,plain,
% 58.92/59.07 (E(f19(a22),a22)),
% 58.92/59.07 inference(scs_inference,[],[102,222,226,2586,238,2491,75,4774,2534,2533,76,77,1230,85,215,79,78,122,359,131,132,117,126,127,4,9,10,16,17,18,19,25,26,36,37,38,43,5,6,7,8,11,12,20,21,27,28,32,33,34,35,39,40,41,42,13,14,15,22,23,24,29,30,31,156,151,171,177,192,106,168,167,107,109,121,176,2,194,162,129,125,48,134,123,118,52,47,191,112])).
% 58.92/59.07 cnf(4899,plain,
% 58.92/59.07 (~E(a27,a9)),
% 58.92/59.07 inference(scs_inference,[],[102,222,226,2586,238,2491,75,4774,2534,2533,76,77,1230,85,215,79,78,122,359,131,132,117,126,127,4,9,10,16,17,18,19,25,26,36,37,38,43,5,6,7,8,11,12,20,21,27,28,32,33,34,35,39,40,41,42,13,14,15,22,23,24,29,30,31,156,151,171,177,192,106,168,167,107,109,121,176,2,194,162,129,125,48,134,123,118,52,47,191,112,297])).
% 58.92/59.07 cnf(4925,plain,
% 58.92/59.07 (~P7(f43(f43(f23(a20,a28),f23(a20,a28)),f43(f23(a20,a28),f43(x49251,x49251))),f10(f8(x49252,a28),x49253))),
% 58.92/59.07 inference(scs_inference,[],[4897,4800,4802,4852,151,171,126,359,32,177])).
% 58.92/59.07 cnf(4930,plain,
% 58.92/59.07 (E(f34(x49301,f19(a22),x49302),f34(x49301,a22,x49302))),
% 58.92/59.07 inference(scs_inference,[],[4897,4800,4802,4852,151,171,126,359,32,177,42,34,18,30])).
% 58.92/59.07 cnf(4935,plain,
% 58.92/59.07 (E(f34(x49351,x49352,f19(a22)),f34(x49351,x49352,a22))),
% 58.92/59.07 inference(scs_inference,[],[4897,4800,4802,4852,151,171,126,359,32,177,42,34,18,30,14,127,28,31])).
% 58.92/59.07 cnf(4939,plain,
% 58.92/59.07 (P10(a22,f19(a22))),
% 58.92/59.07 inference(scs_inference,[],[4897,4800,4802,4852,151,171,126,359,32,177,42,34,18,30,14,127,28,31,20,131,106])).
% 58.92/59.07 cnf(4953,plain,
% 58.92/59.07 (P10(f19(a22),a22)),
% 58.92/59.07 inference(scs_inference,[],[4870,4897,4800,4802,4852,151,171,126,359,32,177,42,34,18,30,14,127,28,31,20,131,106,10,29,41,16,21,122,132,6,19,8,107])).
% 58.92/59.07 cnf(4965,plain,
% 58.92/59.07 (E(f7(f19(a22)),f7(a22))),
% 58.92/59.07 inference(scs_inference,[],[4870,4897,4800,4802,4852,4856,151,171,126,359,32,177,42,34,18,30,14,127,28,31,20,131,106,10,29,41,16,21,122,132,6,19,8,107,25,26,7,39,13,15,5,11,297,17,4])).
% 58.92/59.07 cnf(4985,plain,
% 58.92/59.07 (~E(a9,a27)),
% 58.92/59.07 inference(scs_inference,[],[4899,4870,4897,4800,4881,4888,4802,4852,4856,151,171,126,359,32,177,42,34,18,30,14,127,28,31,20,131,106,10,29,41,16,21,122,132,6,19,8,107,25,26,7,39,13,15,5,11,297,17,4,37,38,33,43,36,27,40,35,22,23,9,24,133,12,121,176,2])).
% 58.92/59.07 cnf(4990,plain,
% 58.92/59.07 (P7(a22,f8(a1,a1))),
% 58.92/59.07 inference(scs_inference,[],[224,4868,4899,4870,4897,4800,4881,4888,4802,4852,4856,151,171,126,359,32,177,42,34,18,30,14,127,28,31,20,131,106,10,29,41,16,21,122,132,6,19,8,107,25,26,7,39,13,15,5,11,297,17,4,37,38,33,43,36,27,40,35,22,23,9,24,133,12,121,176,2,162,129,134])).
% 58.92/59.07 cnf(4994,plain,
% 58.92/59.07 (~P10(a20,f8(x49941,a28))),
% 58.92/59.07 inference(scs_inference,[],[224,4868,4899,4870,4897,4800,4797,4881,4888,4802,4852,4856,77,151,171,126,359,32,177,42,34,18,30,14,127,28,31,20,131,106,10,29,41,16,21,122,132,6,19,8,107,25,26,7,39,13,15,5,11,297,17,4,37,38,33,43,36,27,40,35,22,23,9,24,133,12,121,176,2,162,129,134,123,125])).
% 58.92/59.07 cnf(4998,plain,
% 58.92/59.07 (~P10(a27,a9)),
% 58.92/59.07 inference(scs_inference,[],[224,4868,4899,4870,4897,4800,4797,4881,4888,4802,4852,4856,4841,77,215,78,151,171,126,359,32,177,42,34,18,30,14,127,28,31,20,131,106,10,29,41,16,21,122,132,6,19,8,107,25,26,7,39,13,15,5,11,297,17,4,37,38,33,43,36,27,40,35,22,23,9,24,133,12,121,176,2,162,129,134,123,125,48,118])).
% 58.92/59.07 cnf(5001,plain,
% 58.92/59.07 (~P7(a1,f8(f10(x50011,x50012),f7(f43(a1,x50013))))),
% 58.92/59.07 inference(scs_inference,[],[224,4868,4899,4870,4897,4800,4797,4881,4888,4802,4852,4856,4841,92,77,215,78,151,171,126,359,32,177,42,34,18,30,14,127,28,31,20,131,106,10,29,41,16,21,122,132,6,19,8,107,25,26,7,39,13,15,5,11,297,17,4,37,38,33,43,36,27,40,35,22,23,9,24,133,12,121,176,2,162,129,134,123,125,48,118,47])).
% 58.92/59.07 cnf(5004,plain,
% 58.92/59.07 (~P7(f19(a22),f7(a1))),
% 58.92/59.07 inference(scs_inference,[],[224,4868,4899,4870,4897,4800,4797,4881,4888,4802,4852,4856,4841,92,77,1230,215,78,151,171,126,359,32,177,42,34,18,30,14,127,28,31,20,131,106,10,29,41,16,21,122,132,6,19,8,107,25,26,7,39,13,15,5,11,297,17,4,37,38,33,43,36,27,40,35,22,23,9,24,133,12,121,176,2,162,129,134,123,125,48,118,47,46])).
% 58.92/59.07 cnf(5101,plain,
% 58.92/59.07 ($false),
% 58.92/59.07 inference(scs_inference,[],[4985,4998,4892,5004,4990,4939,4994,4953,4965,4930,4935,5001,4925,77,1230,85,215,79,171,151,177,126,131,107,132,122,127,28,30,106,32,7,14,31,8,13,20,26,23,22,21,9,17,34,133,37,42,359,10,40,16,297,29,18,35,6,27,41,5,4,39,25,38,19,15,121,12,11,24,33,43,36,176,2,162,129,3,134,125,123,118,48]),
% 58.92/59.07 ['proof']).
% 58.92/59.07 % SZS output end Proof
% 58.92/59.07 % Total time :58.290000s
%------------------------------------------------------------------------------