TSTP Solution File: NUM181-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM181-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n015.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 10:20:54 EDT 2023
% Result : Unsatisfiable 1.31s 1.47s
% Output : CNFRefutation 1.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM181-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.09/0.31 % Computer : n015.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Fri Aug 25 13:10:22 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.16/0.53 start to proof:theBenchmark
% 1.31/1.47 %-------------------------------------------
% 1.31/1.47 % File :CSE---1.6
% 1.31/1.47 % Problem :theBenchmark
% 1.31/1.47 % Transform :cnf
% 1.31/1.47 % Format :tptp:raw
% 1.31/1.47 % Command :java -jar mcs_scs.jar %d %s
% 1.31/1.47
% 1.31/1.47 % Result :Theorem 0.850000s
% 1.31/1.47 % Output :CNFRefutation 0.850000s
% 1.31/1.47 %-------------------------------------------
% 1.31/1.47 %--------------------------------------------------------------------------
% 1.31/1.47 % File : NUM181-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 1.31/1.47 % Domain : Number Theory (Ordinals)
% 1.31/1.47 % Problem : The null class is not a limit ordinal
% 1.31/1.47 % Version : [Qua92] axioms.
% 1.31/1.47 % English :
% 1.31/1.47
% 1.31/1.47 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 1.31/1.47 % Source : [Quaife]
% 1.31/1.47 % Names : LIM2.2 [Quaife]
% 1.31/1.47
% 1.31/1.47 % Status : Unsatisfiable
% 1.31/1.47 % Rating : 0.24 v8.1.0, 0.26 v7.5.0, 0.32 v7.4.0, 0.29 v7.3.0, 0.33 v7.1.0, 0.25 v7.0.0, 0.33 v6.3.0, 0.36 v6.2.0, 0.40 v6.1.0, 0.50 v6.0.0, 0.60 v5.5.0, 0.80 v5.3.0, 0.83 v5.2.0, 0.75 v5.1.0, 0.76 v5.0.0, 0.79 v4.1.0, 0.77 v4.0.1, 0.73 v3.7.0, 0.60 v3.5.0, 0.64 v3.4.0, 0.67 v3.3.0, 0.64 v3.2.0, 0.62 v3.1.0, 0.64 v2.7.0, 0.75 v2.6.0, 0.67 v2.5.0, 0.64 v2.4.0, 0.50 v2.3.0, 0.62 v2.2.1, 1.00 v2.1.0
% 1.31/1.47 % Syntax : Number of clauses : 159 ( 47 unt; 12 nHn; 120 RR)
% 1.31/1.47 % Number of literals : 323 ( 71 equ; 155 neg)
% 1.31/1.47 % Maximal clause size : 5 ( 2 avg)
% 1.31/1.47 % Maximal term depth : 6 ( 1 avg)
% 1.31/1.47 % Number of predicates : 17 ( 16 usr; 0 prp; 1-3 aty)
% 1.31/1.47 % Number of functors : 62 ( 62 usr; 18 con; 0-3 aty)
% 1.31/1.47 % Number of variables : 303 ( 40 sgn)
% 1.31/1.47 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.31/1.47
% 1.31/1.47 % Comments : Not in [Qua92]. Theorem LIM2.2 in [Quaife].
% 1.31/1.47 % : Quaife proves all these problems by augmenting the axioms with
% 1.31/1.47 % all previously proved theorems. The user may create an augmented
% 1.31/1.47 % version of this problem by adding all previously proved theorems.
% 1.31/1.47 % These include all of [Qua92]'s set theory and Boolean algebra
% 1.31/1.47 % theorems, available from the SET domain.
% 1.31/1.47 % Bugfixes : v1.0.1 - Bugfix in SET004-1.ax.
% 1.31/1.47 % : v2.1.0 - Bugfix in SET004-0.ax.
% 1.31/1.47 %--------------------------------------------------------------------------
% 1.31/1.47 %----Include von Neuman-Bernays-Godel set theory axioms
% 1.31/1.47 include('Axioms/SET004-0.ax').
% 1.31/1.47 %----Include Set theory (Boolean algebra) axioms based on NBG set theory
% 1.31/1.47 include('Axioms/SET004-1.ax').
% 1.31/1.47 %----Include ordinal number theory axioms.
% 1.31/1.47 include('Axioms/NUM004-0.ax').
% 1.31/1.47 %--------------------------------------------------------------------------
% 1.31/1.47 cnf(prove_null_class_is_not_a_limit_ordinal_1,negated_conjecture,
% 1.31/1.47 member(null_class,limit_ordinals) ).
% 1.31/1.47
% 1.31/1.47 %--------------------------------------------------------------------------
% 1.31/1.47 %-------------------------------------------
% 1.31/1.47 % Proof found
% 1.31/1.47 % SZS status Theorem for theBenchmark
% 1.31/1.47 % SZS output start Proof
% 1.31/1.47 %ClaNum:214(EqnAxiom:74)
% 1.31/1.47 %VarNum:1151(SingletonVarNum:271)
% 1.31/1.47 %MaxLitNum:5
% 1.31/1.47 %MaxfuncDepth:24
% 1.31/1.47 %SharedTerms:66
% 1.31/1.47 %goalClause: 77
% 1.31/1.47 %singleGoalClaCount:1
% 1.31/1.47 [75]P1(a1)
% 1.31/1.47 [76]P2(a2)
% 1.31/1.47 [77]P7(a6,a7)
% 1.31/1.47 [78]P7(a1,a27)
% 1.31/1.47 [81]P10(a11,f12(a27,a27))
% 1.31/1.47 [82]P10(a31,f12(a27,a27))
% 1.31/1.47 [83]P10(a16,f12(a27,a27))
% 1.31/1.47 [84]P10(a32,f12(a27,a27))
% 1.31/1.47 [85]P10(a42,f12(a27,a27))
% 1.31/1.47 [80]E(f10(f9(a8),a28),a7)
% 1.31/1.47 [90]P10(a15,f12(a27,f12(a27,a27)))
% 1.31/1.47 [91]P10(a3,f12(a27,f12(a27,a27)))
% 1.31/1.47 [92]E(f10(f9(f14(a11,f9(a18))),a11),a37)
% 1.31/1.47 [96]E(f10(f17(f19(f12(a41,a27))),a41),a18)
% 1.31/1.47 [97]E(f10(f12(a27,a27),f10(f12(a27,a27),f9(f14(f9(a11),f17(f19(f12(a11,a27))))))),a41)
% 1.31/1.47 [99]E(f9(f10(f9(f43(a6,a6)),f9(f17(f17(f19(f12(f10(a31,f12(a28,a27)),a27))))))),a8)
% 1.31/1.47 [79]P10(x791,a27)
% 1.31/1.47 [87]P10(f13(x871),f12(a27,a27))
% 1.31/1.47 [88]P10(f33(x881),f12(a27,a27))
% 1.31/1.47 [94]P10(f38(x941),f12(f12(a27,a27),a27))
% 1.31/1.47 [95]P10(f19(x951),f12(f12(a27,a27),a27))
% 1.31/1.47 [98]E(f10(f17(x981),f9(f17(f10(f14(f17(f19(f12(a11,a27))),x981),a18)))),f5(x981))
% 1.31/1.47 [102]E(f20(f23(f10(x1021,f12(f17(f17(f19(f12(f10(f17(f19(f12(x1021,a27))),f12(f43(f20(f23(f14(x1021,f17(f19(f12(x1021,a27)))),a18)),f20(f23(f14(x1021,f17(f19(f12(x1021,a27)))),a18))),a27)),a27)))),f43(f39(f23(f14(x1021,f17(f19(f12(x1021,a27)))),a18)),f39(f23(f14(x1021,f17(f19(f12(x1021,a27)))),a18))))),a6)),f40(x1021))
% 1.31/1.47 [86]P7(f43(x861,x862),a27)
% 1.31/1.47 [89]P10(f14(x891,x892),f12(a27,a27))
% 1.31/1.47 [101]E(f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(f34(x1011,a31,a42),f12(f43(x1012,x1012),a27)),a27))))))),f30(x1011,x1012))
% 1.31/1.47 [100]E(f34(a6,f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(a4,f12(f43(x1001,x1001),a27)),a27))))))),a42),f29(x1001,x1002))
% 1.31/1.47 [93]E(f10(f12(x931,x932),x933),f10(x933,f12(x931,x932)))
% 1.31/1.47 [103]~P11(x1031)+P2(x1031)
% 1.31/1.47 [104]~P12(x1041)+P2(x1041)
% 1.31/1.47 [108]~P1(x1081)+P10(a1,x1081)
% 1.31/1.47 [109]~P1(x1091)+P7(a6,x1091)
% 1.31/1.47 [113]~P7(x1131,a28)+P15(a11,x1131)
% 1.31/1.47 [105]P7(x1051,a1)+E(f21(x1051),a6)
% 1.31/1.48 [111]P7(f35(x1111),x1111)+E(x1111,a6)
% 1.31/1.48 [112]~P7(x1121,a1)+E(f21(x1121),x1121)
% 1.31/1.48 [117]~P2(x1171)+P10(x1171,f12(a27,a27))
% 1.31/1.48 [110]E(x1101,a6)+E(f10(x1101,f35(x1101)),a6)
% 1.31/1.48 [128]~P12(x1281)+E(f12(f17(f17(x1281)),f17(f17(x1281))),f17(x1281))
% 1.31/1.48 [146]~P11(x1461)+P2(f17(f19(f12(x1461,a27))))
% 1.31/1.48 [151]~P7(x1511,a27)+P7(f17(f10(a11,f12(a27,x1511))),a27)
% 1.31/1.48 [152]~P7(x1521,a28)+P10(f17(f10(a11,f12(a27,x1521))),x1521)
% 1.31/1.48 [155]~P14(x1551)+P10(f14(x1551,f17(f19(f12(x1551,a27)))),a18)
% 1.31/1.48 [156]~P2(x1561)+P10(f14(x1561,f17(f19(f12(x1561,a27)))),a18)
% 1.31/1.48 [157]~P12(x1571)+P10(f17(f17(f19(f12(x1571,a27)))),f17(f17(x1571)))
% 1.31/1.48 [167]~P7(x1671,a27)+P7(f43(f43(x1671,x1671),f43(x1671,f43(f17(x1671),f17(x1671)))),a16)
% 1.31/1.48 [168]~P7(x1681,a27)+P7(f43(f43(x1681,x1681),f43(x1681,f43(f33(x1681),f33(x1681)))),a32)
% 1.31/1.48 [172]P14(x1721)+~P10(f14(x1721,f17(f19(f12(x1721,a27)))),a18)
% 1.31/1.48 [192]~P1(x1921)+P10(f17(f17(f19(f12(f10(a31,f12(x1921,a27)),a27)))),x1921)
% 1.31/1.48 [198]~P7(x1981,a27)+P7(f9(f17(f17(f19(f12(f10(a11,f12(f9(x1981),a27)),a27))))),a27)
% 1.31/1.48 [106]~E(x1062,x1061)+P10(x1061,x1062)
% 1.31/1.48 [107]~E(x1071,x1072)+P10(x1071,x1072)
% 1.31/1.48 [116]~P15(x1161,x1162)+P3(x1161,x1162)
% 1.31/1.48 [114]P2(x1141)+~P7(x1142,f36(x1141))
% 1.31/1.48 [115]P2(x1151)+~P7(x1151,f36(x1152))
% 1.31/1.48 [119]~P7(x1191,f36(x1192))+P7(f17(x1191),a28)
% 1.31/1.48 [121]P10(x1211,x1212)+P7(f23(x1211,x1212),x1211)
% 1.31/1.48 [122]~P7(x1221,x1222)+~P7(x1221,f9(x1222))
% 1.31/1.48 [126]~P7(x1261,a27)+P7(x1261,f43(x1262,x1261))
% 1.31/1.48 [127]~P7(x1271,a27)+P7(x1271,f43(x1271,x1272))
% 1.31/1.48 [133]P10(x1331,x1332)+~P7(f23(x1331,x1332),x1332)
% 1.31/1.48 [120]~P7(x1202,f36(x1201))+E(f14(x1201,f33(x1202)),x1202)
% 1.31/1.48 [145]~P9(x1451,x1452)+P10(f10(x1451,f12(x1452,x1452)),f9(a18))
% 1.31/1.48 [149]P9(x1491,x1492)+~P10(f10(x1491,f12(x1492,x1492)),f9(a18))
% 1.31/1.48 [161]~P5(x1611,x1612)+E(f10(f10(x1611,f17(f19(f12(x1611,a27)))),f12(x1612,x1612)),a6)
% 1.31/1.48 [180]P5(x1801,x1802)+~E(f10(f10(x1801,f17(f19(f12(x1801,a27)))),f12(x1802,x1802)),a6)
% 1.31/1.48 [150]~P7(x1502,f17(x1501))+~E(f10(x1501,f12(f43(x1502,x1502),a27)),a6)
% 1.31/1.48 [169]E(f17(x1691),x1692)+~P7(f43(f43(x1691,x1691),f43(x1691,f43(x1692,x1692))),a16)
% 1.31/1.48 [170]E(f33(x1701),x1702)+~P7(f43(f43(x1701,x1701),f43(x1701,f43(x1702,x1702))),a32)
% 1.31/1.48 [171]P7(x1711,x1712)+~P7(f43(f43(x1711,x1711),f43(x1711,f43(x1712,x1712))),a11)
% 1.31/1.48 [179]~P16(x1791,x1792)+P10(f14(f10(x1791,f12(x1792,x1792)),f10(x1791,f12(x1792,x1792))),f10(x1791,f12(x1792,x1792)))
% 1.31/1.48 [187]P16(x1871,x1872)+~P10(f14(f10(x1871,f12(x1872,x1872)),f10(x1871,f12(x1872,x1872))),f10(x1871,f12(x1872,x1872)))
% 1.31/1.48 [184]~P7(f43(f43(x1841,x1841),f43(x1841,f43(x1842,x1842))),a31)+E(f9(f10(f9(x1841),f9(f43(x1841,x1841)))),x1842)
% 1.31/1.48 [193]~P7(f43(f43(x1931,x1931),f43(x1931,f43(x1932,x1932))),a42)+E(f17(f10(a11,f12(a27,f17(f17(f19(f12(x1931,a27))))))),x1932)
% 1.31/1.48 [204]~P7(f43(f43(x2041,x2041),f43(x2041,f43(x2042,x2042))),f12(a27,a27))+P7(f43(f43(x2041,x2041),f43(x2041,f43(f43(f43(x2042,x2042),f43(x2042,f43(f14(x2041,x2042),f14(x2041,x2042)))),f43(f43(x2042,x2042),f43(x2042,f43(f14(x2041,x2042),f14(x2041,x2042))))))),a15)
% 1.31/1.48 [203]~P3(x2032,x2031)+P10(f12(x2031,x2031),f9(f10(f9(a18),f9(f9(f10(f9(x2032),f9(f17(f19(f12(x2032,a27))))))))))
% 1.31/1.48 [205]P3(x2051,x2052)+~P10(f12(x2052,x2052),f9(f10(f9(a18),f9(f9(f10(f9(x2051),f9(f17(f19(f12(x2051,a27))))))))))
% 1.31/1.48 [136]P2(x1361)+~P4(x1361,x1362,x1363)
% 1.31/1.48 [137]P2(x1371)+~P8(x1371,x1372,x1373)
% 1.31/1.48 [138]P12(x1381)+~P6(x1382,x1383,x1381)
% 1.31/1.48 [139]P12(x1391)+~P6(x1392,x1391,x1393)
% 1.31/1.48 [142]P10(x1421,x1422)+~P13(x1423,x1421,x1422)
% 1.31/1.48 [148]~P6(x1481,x1482,x1483)+P4(x1481,x1482,x1483)
% 1.31/1.48 [131]P7(x1311,x1312)+~P7(x1311,f10(x1313,x1312))
% 1.31/1.48 [132]P7(x1321,x1322)+~P7(x1321,f10(x1322,x1323))
% 1.31/1.48 [140]~P8(x1401,x1402,x1403)+E(f17(x1401),x1402)
% 1.31/1.48 [143]~P4(x1432,x1431,x1433)+E(f17(f17(x1431)),f17(x1432))
% 1.31/1.48 [154]~P13(x1541,x1543,x1542)+P10(f17(f10(x1541,f12(x1542,x1543))),x1543)
% 1.31/1.48 [173]E(f14(x1731,x1732),x1733)+~P7(f43(f43(x1732,x1732),f43(x1732,f43(x1733,x1733))),f13(x1731))
% 1.31/1.48 [174]P7(x1741,f17(x1742))+~P7(f43(f43(x1741,x1741),f43(x1741,f43(x1743,x1743))),f33(x1742))
% 1.31/1.48 [175]E(f10(x1751,f12(x1752,a27)),x1753)+~P7(f43(f43(x1752,x1752),f43(x1752,f43(x1753,x1753))),f33(x1751))
% 1.31/1.48 [158]~P7(x1581,f12(x1582,x1583))+E(f43(f43(f20(x1581),f20(x1581)),f43(f20(x1581),f43(f39(x1581),f39(x1581)))),x1581)
% 1.31/1.48 [163]~P8(x1631,x1633,x1632)+P10(f17(f17(f19(f12(x1631,a27)))),x1632)
% 1.31/1.48 [164]~P4(x1641,x1643,x1642)+P10(f17(f17(f19(f12(x1641,a27)))),f17(f17(x1642)))
% 1.31/1.48 [199]E(f14(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)))))),a15)
% 1.31/1.48 [200]P7(x2001,f17(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)
% 1.31/1.48 [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(f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2081,f12(f43(x2082,x2082),a27)),a27))))))),x2083)
% 1.31/1.48 [176]P7(x1761,x1762)+~P7(f43(f43(x1763,x1763),f43(x1763,f43(x1761,x1761))),f12(x1764,x1762))
% 1.31/1.48 [177]P7(x1771,x1772)+~P7(f43(f43(x1771,x1771),f43(x1771,f43(x1773,x1773))),f12(x1772,x1774))
% 1.31/1.48 [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)
% 1.31/1.48 [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))),f19(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)
% 1.31/1.48 [210]~P7(f43(f43(x2104,x2104),f43(x2104,f43(x2101,x2101))),f14(x2102,x2103))+P7(x2101,f17(f17(f19(f12(f10(x2102,f12(f17(f17(f19(f12(f10(x2103,f12(f43(x2104,x2104),a27)),a27)))),a27)),a27)))))
% 1.31/1.48 [153]~P2(x1531)+P11(x1531)+~P2(f17(f19(f12(x1531,a27))))
% 1.31/1.48 [181]P2(x1811)+~P10(x1811,f12(a27,a27))+~P10(f14(x1811,f17(f19(f12(x1811,a27)))),a18)
% 1.31/1.48 [195]P1(x1951)+~P7(a6,x1951)+~P10(f17(f17(f19(f12(f10(a31,f12(x1951,a27)),a27)))),x1951)
% 1.31/1.48 [209]~P7(x2091,a27)+E(x2091,a6)+P7(f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(a2,f12(f43(x2091,x2091),a27)),a27))))))),x2091)
% 1.31/1.48 [118]~P10(x1182,x1181)+~P10(x1181,x1182)+E(x1181,x1182)
% 1.31/1.48 [123]P7(x1231,x1232)+P7(x1231,f9(x1232))+~P7(x1231,a27)
% 1.31/1.48 [124]~P3(x1241,x1242)+P15(x1241,x1242)+~E(f26(x1241,x1242),a6)
% 1.31/1.48 [130]~P3(x1301,x1302)+P15(x1301,x1302)+P10(f26(x1301,x1302),x1302)
% 1.31/1.48 [147]P7(x1472,f17(x1471))+~P7(x1472,a27)+E(f10(x1471,f12(f43(x1472,x1472),a27)),a6)
% 1.31/1.48 [188]~P7(x1881,x1882)+~P7(f43(f43(x1881,x1881),f43(x1881,f43(x1882,x1882))),f12(a27,a27))+P7(f43(f43(x1881,x1881),f43(x1881,f43(x1882,x1882))),a11)
% 1.31/1.48 [178]~P2(x1781)+P8(x1781,f17(x1781),x1782)+~P10(f17(f17(f19(f12(x1781,a27)))),x1782)
% 1.31/1.48 [190]~P7(f43(f43(x1901,x1901),f43(x1901,f43(x1902,x1902))),f12(a27,a27))+~E(f9(f10(f9(x1901),f9(f43(x1901,x1901)))),x1902)+P7(f43(f43(x1901,x1901),f43(x1901,f43(x1902,x1902))),a31)
% 1.31/1.48 [194]~P2(x1941)+~P7(x1942,a27)+P7(f17(f17(f19(f12(f10(x1941,f12(x1942,a27)),a27)))),a27)
% 1.31/1.48 [196]~P7(f43(f43(x1961,x1961),f43(x1961,f43(x1962,x1962))),f12(a27,a27))+P7(f43(f43(x1961,x1961),f43(x1961,f43(x1962,x1962))),a42)+~E(f17(f10(a11,f12(a27,f17(f17(f19(f12(x1961,a27))))))),x1962)
% 1.31/1.48 [125]~P7(x1251,x1253)+P7(x1251,x1252)+~P10(x1253,x1252)
% 1.31/1.48 [129]E(x1291,x1292)+E(x1291,x1293)+~P7(x1291,f43(x1293,x1292))
% 1.31/1.48 [134]~P7(x1341,x1343)+~P7(x1341,x1342)+P7(x1341,f10(x1342,x1343))
% 1.31/1.48 [165]~P7(x1651,f17(x1653))+~E(f10(x1653,f12(x1651,a27)),x1652)+P7(f43(f43(x1651,x1651),f43(x1651,f43(x1652,x1652))),f33(x1653))
% 1.31/1.48 [166]~P10(x1662,x1663)+P13(x1661,x1662,x1663)+~P10(f17(f10(x1661,f12(x1663,x1662))),x1662)
% 1.31/1.48 [189]~E(f14(x1893,x1891),x1892)+P7(f43(f43(x1891,x1891),f43(x1891,f43(x1892,x1892))),f13(x1893))+~P7(f43(f43(x1891,x1891),f43(x1891,f43(x1892,x1892))),f12(a27,a27))
% 1.31/1.48 [186]~P15(x1861,x1863)+~P10(x1862,x1863)+E(f17(f10(x1861,f12(x1862,f43(f22(x1861,x1862),f22(x1861,x1862))))),a6)
% 1.31/1.48 [212]~P7(x2122,f17(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)))))),f12(a27,f12(a27,a27)))+P7(f43(f43(x2121,x2121),f43(x2121,f43(f43(f43(x2122,x2122),f43(x2122,f43(f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2121,f12(f43(x2122,x2122),a27)),a27))))))),f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2121,f12(f43(x2122,x2122),a27)),a27)))))))))),f43(f43(x2122,x2122),f43(x2122,f43(f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2121,f12(f43(x2122,x2122),a27)),a27))))))),f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2121,f12(f43(x2122,x2122),a27)),a27))))))))))))),a3)
% 1.31/1.48 [162]~P7(x1622,x1624)+~P7(x1621,x1623)+P7(f43(f43(x1621,x1621),f43(x1621,f43(x1622,x1622))),f12(x1623,x1624))
% 1.31/1.48 [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))),f12(f12(a27,a27),a27))
% 1.31/1.48 [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))),f19(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))),f12(f12(a27,a27),a27))
% 1.31/1.48 [211]~P7(f43(f43(x2111,x2111),f43(x2111,f43(x2112,x2112))),f12(a27,a27))+P7(f43(f43(x2111,x2111),f43(x2111,f43(x2112,x2112))),f14(x2113,x2114))+~P7(x2112,f17(f17(f19(f12(f10(x2113,f12(f17(f17(f19(f12(f10(x2114,f12(f43(x2111,x2111),a27)),a27)))),a27)),a27)))))
% 1.31/1.48 [213]~P6(x2132,x2135,x2131)+~P7(f43(f43(x2133,x2133),f43(x2133,f43(x2134,x2134))),f17(x2135))+E(f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2131,f12(f43(f43(f43(f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2132,f12(f43(x2133,x2133),a27)),a27))))))),f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2132,f12(f43(x2133,x2133),a27)),a27)))))))),f43(f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2132,f12(f43(x2133,x2133),a27)),a27))))))),f43(f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2132,f12(f43(x2134,x2134),a27)),a27))))))),f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2132,f12(f43(x2134,x2134),a27)),a27)))))))))),f43(f43(f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2132,f12(f43(x2133,x2133),a27)),a27))))))),f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2132,f12(f43(x2133,x2133),a27)),a27)))))))),f43(f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2132,f12(f43(x2133,x2133),a27)),a27))))))),f43(f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2132,f12(f43(x2134,x2134),a27)),a27))))))),f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2132,f12(f43(x2134,x2134),a27)),a27))))))))))),a27)),a27))))))),f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2132,f12(f43(f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2135,f12(f43(f43(f43(x2133,x2133),f43(x2133,f43(x2134,x2134))),f43(f43(x2133,x2133),f43(x2133,f43(x2134,x2134)))),a27)),a27))))))),f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2135,f12(f43(f43(f43(x2133,x2133),f43(x2133,f43(x2134,x2134))),f43(f43(x2133,x2133),f43(x2133,f43(x2134,x2134)))),a27)),a27)))))))),a27)),a27))))))))
% 1.31/1.48 [159]P7(x1591,a28)+~P15(a11,x1591)+E(x1591,a28)+~P10(f17(f10(a11,f12(a27,x1591))),x1591)
% 1.31/1.48 [160]~P7(x1601,a27)+~P15(a11,x1601)+P7(x1601,a28)+~P10(f17(f10(a11,f12(a27,x1601))),x1601)
% 1.31/1.48 [183]~P2(x1831)+P12(x1831)+~E(f12(f17(f17(x1831)),f17(f17(x1831))),f17(x1831))+~P10(f17(f17(f19(f12(x1831,a27)))),f17(f17(x1831)))
% 1.31/1.48 [135]~P15(x1352,x1353)+~P10(x1351,x1353)+P7(f22(x1352,x1351),x1351)+E(x1351,a6)
% 1.31/1.48 [182]~P2(x1821)+P4(x1821,x1822,x1823)+~E(f17(f17(x1822)),f17(x1821))+~P10(f17(f17(f19(f12(x1821,a27)))),f17(f17(x1823)))
% 1.31/1.48 [185]~P3(x1851,x1852)+P15(x1851,x1852)+~P7(x1853,f26(x1851,x1852))+~E(f17(f10(x1851,f12(f26(x1851,x1852),f43(x1853,x1853)))),a6)
% 1.31/1.48 [144]~P15(x1441,x1443)+~P10(x1442,x1443)+~P7(x1444,x1442)+P7(f22(x1441,x1442),x1442)
% 1.31/1.48 [191]~P10(x1911,x1912)+~P7(x1913,x1911)+~P15(x1914,x1912)+~P7(f43(f43(x1913,x1913),f43(x1913,f43(f22(x1914,x1911),f22(x1914,x1911)))),x1914)
% 1.31/1.48 [141]~P2(x1411)+~P2(x1412)+P7(x1411,f36(x1412))+~E(f14(x1412,f33(x1411)),x1411)+~P7(f17(x1411),a28)
% 1.31/1.48 [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)))),f17(x1972))
% 1.31/1.48 [214]~P12(x2143)+~P12(x2142)+~P4(x2141,x2142,x2143)+P6(x2141,x2142,x2143)+~E(f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2143,f12(f43(f43(f43(f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2141,f12(f43(f24(x2141,x2142,x2143),f24(x2141,x2142,x2143)),a27)),a27))))))),f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2141,f12(f43(f24(x2141,x2142,x2143),f24(x2141,x2142,x2143)),a27)),a27)))))))),f43(f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2141,f12(f43(f24(x2141,x2142,x2143),f24(x2141,x2142,x2143)),a27)),a27))))))),f43(f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2141,f12(f43(f25(x2141,x2142,x2143),f25(x2141,x2142,x2143)),a27)),a27))))))),f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2141,f12(f43(f25(x2141,x2142,x2143),f25(x2141,x2142,x2143)),a27)),a27)))))))))),f43(f43(f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2141,f12(f43(f24(x2141,x2142,x2143),f24(x2141,x2142,x2143)),a27)),a27))))))),f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2141,f12(f43(f24(x2141,x2142,x2143),f24(x2141,x2142,x2143)),a27)),a27)))))))),f43(f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2141,f12(f43(f24(x2141,x2142,x2143),f24(x2141,x2142,x2143)),a27)),a27))))))),f43(f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2141,f12(f43(f25(x2141,x2142,x2143),f25(x2141,x2142,x2143)),a27)),a27))))))),f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2141,f12(f43(f25(x2141,x2142,x2143),f25(x2141,x2142,x2143)),a27)),a27))))))))))),a27)),a27))))))),f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2141,f12(f43(f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2142,f12(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))))))),f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(x2142,f12(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))))))))
% 1.31/1.48 %EqnAxiom
% 1.31/1.48 [1]E(x11,x11)
% 1.31/1.48 [2]E(x22,x21)+~E(x21,x22)
% 1.31/1.48 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.31/1.48 [4]~E(x41,x42)+E(f9(x41),f9(x42))
% 1.31/1.48 [5]~E(x51,x52)+E(f10(x51,x53),f10(x52,x53))
% 1.31/1.48 [6]~E(x61,x62)+E(f10(x63,x61),f10(x63,x62))
% 1.31/1.48 [7]~E(x71,x72)+E(f12(x71,x73),f12(x72,x73))
% 1.31/1.48 [8]~E(x81,x82)+E(f12(x83,x81),f12(x83,x82))
% 1.31/1.48 [9]~E(x91,x92)+E(f19(x91),f19(x92))
% 1.31/1.48 [10]~E(x101,x102)+E(f17(x101),f17(x102))
% 1.31/1.48 [11]~E(x111,x112)+E(f43(x111,x113),f43(x112,x113))
% 1.31/1.48 [12]~E(x121,x122)+E(f43(x123,x121),f43(x123,x122))
% 1.31/1.48 [13]~E(x131,x132)+E(f25(x131,x133,x134),f25(x132,x133,x134))
% 1.31/1.48 [14]~E(x141,x142)+E(f25(x143,x141,x144),f25(x143,x142,x144))
% 1.31/1.48 [15]~E(x151,x152)+E(f25(x153,x154,x151),f25(x153,x154,x152))
% 1.31/1.48 [16]~E(x161,x162)+E(f38(x161),f38(x162))
% 1.31/1.48 [17]~E(x171,x172)+E(f13(x171),f13(x172))
% 1.31/1.48 [18]~E(x181,x182)+E(f35(x181),f35(x182))
% 1.31/1.48 [19]~E(x191,x192)+E(f33(x191),f33(x192))
% 1.31/1.48 [20]~E(x201,x202)+E(f14(x201,x203),f14(x202,x203))
% 1.31/1.48 [21]~E(x211,x212)+E(f14(x213,x211),f14(x213,x212))
% 1.31/1.48 [22]~E(x221,x222)+E(f24(x221,x223,x224),f24(x222,x223,x224))
% 1.31/1.48 [23]~E(x231,x232)+E(f24(x233,x231,x234),f24(x233,x232,x234))
% 1.31/1.48 [24]~E(x241,x242)+E(f24(x243,x244,x241),f24(x243,x244,x242))
% 1.31/1.48 [25]~E(x251,x252)+E(f21(x251),f21(x252))
% 1.31/1.48 [26]~E(x261,x262)+E(f40(x261),f40(x262))
% 1.31/1.48 [27]~E(x271,x272)+E(f29(x271,x273),f29(x272,x273))
% 1.31/1.48 [28]~E(x281,x282)+E(f29(x283,x281),f29(x283,x282))
% 1.31/1.48 [29]~E(x291,x292)+E(f34(x291,x293,x294),f34(x292,x293,x294))
% 1.31/1.48 [30]~E(x301,x302)+E(f34(x303,x301,x304),f34(x303,x302,x304))
% 1.31/1.48 [31]~E(x311,x312)+E(f34(x313,x314,x311),f34(x313,x314,x312))
% 1.31/1.48 [32]~E(x321,x322)+E(f23(x321,x323),f23(x322,x323))
% 1.31/1.48 [33]~E(x331,x332)+E(f23(x333,x331),f23(x333,x332))
% 1.31/1.48 [34]~E(x341,x342)+E(f22(x341,x343),f22(x342,x343))
% 1.31/1.48 [35]~E(x351,x352)+E(f22(x353,x351),f22(x353,x352))
% 1.31/1.48 [36]~E(x361,x362)+E(f20(x361),f20(x362))
% 1.31/1.48 [37]~E(x371,x372)+E(f39(x371),f39(x372))
% 1.31/1.48 [38]~E(x381,x382)+E(f36(x381),f36(x382))
% 1.31/1.48 [39]~E(x391,x392)+E(f30(x391,x393),f30(x392,x393))
% 1.31/1.48 [40]~E(x401,x402)+E(f30(x403,x401),f30(x403,x402))
% 1.31/1.48 [41]~E(x411,x412)+E(f26(x411,x413),f26(x412,x413))
% 1.31/1.48 [42]~E(x421,x422)+E(f26(x423,x421),f26(x423,x422))
% 1.31/1.48 [43]~E(x431,x432)+E(f5(x431),f5(x432))
% 1.31/1.48 [44]~P1(x441)+P1(x442)+~E(x441,x442)
% 1.31/1.48 [45]~P2(x451)+P2(x452)+~E(x451,x452)
% 1.31/1.48 [46]P7(x462,x463)+~E(x461,x462)+~P7(x461,x463)
% 1.31/1.48 [47]P7(x473,x472)+~E(x471,x472)+~P7(x473,x471)
% 1.31/1.48 [48]P10(x482,x483)+~E(x481,x482)+~P10(x481,x483)
% 1.31/1.48 [49]P10(x493,x492)+~E(x491,x492)+~P10(x493,x491)
% 1.31/1.48 [50]~P11(x501)+P11(x502)+~E(x501,x502)
% 1.31/1.48 [51]P13(x512,x513,x514)+~E(x511,x512)+~P13(x511,x513,x514)
% 1.31/1.48 [52]P13(x523,x522,x524)+~E(x521,x522)+~P13(x523,x521,x524)
% 1.31/1.48 [53]P13(x533,x534,x532)+~E(x531,x532)+~P13(x533,x534,x531)
% 1.31/1.48 [54]P9(x542,x543)+~E(x541,x542)+~P9(x541,x543)
% 1.31/1.48 [55]P9(x553,x552)+~E(x551,x552)+~P9(x553,x551)
% 1.31/1.48 [56]P6(x562,x563,x564)+~E(x561,x562)+~P6(x561,x563,x564)
% 1.31/1.48 [57]P6(x573,x572,x574)+~E(x571,x572)+~P6(x573,x571,x574)
% 1.31/1.48 [58]P6(x583,x584,x582)+~E(x581,x582)+~P6(x583,x584,x581)
% 1.31/1.48 [59]P4(x592,x593,x594)+~E(x591,x592)+~P4(x591,x593,x594)
% 1.31/1.48 [60]P4(x603,x602,x604)+~E(x601,x602)+~P4(x603,x601,x604)
% 1.31/1.48 [61]P4(x613,x614,x612)+~E(x611,x612)+~P4(x613,x614,x611)
% 1.31/1.48 [62]~P14(x621)+P14(x622)+~E(x621,x622)
% 1.31/1.48 [63]P3(x632,x633)+~E(x631,x632)+~P3(x631,x633)
% 1.31/1.48 [64]P3(x643,x642)+~E(x641,x642)+~P3(x643,x641)
% 1.31/1.48 [65]P16(x652,x653)+~E(x651,x652)+~P16(x651,x653)
% 1.31/1.48 [66]P16(x663,x662)+~E(x661,x662)+~P16(x663,x661)
% 1.31/1.48 [67]~P12(x671)+P12(x672)+~E(x671,x672)
% 1.31/1.48 [68]P15(x682,x683)+~E(x681,x682)+~P15(x681,x683)
% 1.31/1.48 [69]P15(x693,x692)+~E(x691,x692)+~P15(x693,x691)
% 1.31/1.48 [70]P8(x702,x703,x704)+~E(x701,x702)+~P8(x701,x703,x704)
% 1.31/1.48 [71]P8(x713,x712,x714)+~E(x711,x712)+~P8(x713,x711,x714)
% 1.31/1.48 [72]P8(x723,x724,x722)+~E(x721,x722)+~P8(x723,x724,x721)
% 1.31/1.48 [73]P5(x732,x733)+~E(x731,x732)+~P5(x731,x733)
% 1.31/1.48 [74]P5(x743,x742)+~E(x741,x742)+~P5(x743,x741)
% 1.31/1.48
% 1.31/1.48 %-------------------------------------------
% 1.31/1.48 cnf(215,plain,
% 1.31/1.48 (E(a7,f10(f9(a8),a28))),
% 1.31/1.48 inference(scs_inference,[],[80,2])).
% 1.31/1.48 cnf(216,plain,
% 1.31/1.48 (P7(a6,f10(f9(a8),a28))),
% 1.31/1.48 inference(scs_inference,[],[77,80,2,47])).
% 1.31/1.48 cnf(217,plain,
% 1.31/1.48 (P7(a6,a27)),
% 1.31/1.48 inference(scs_inference,[],[77,79,80,2,47,125])).
% 1.31/1.48 cnf(218,plain,
% 1.31/1.48 (P10(x2181,a27)),
% 1.31/1.48 inference(rename_variables,[],[79])).
% 1.31/1.48 cnf(220,plain,
% 1.31/1.48 (P1(a27)),
% 1.31/1.48 inference(scs_inference,[],[77,79,218,80,2,47,125,195])).
% 1.31/1.48 cnf(221,plain,
% 1.31/1.48 (P10(x2211,a27)),
% 1.31/1.48 inference(rename_variables,[],[79])).
% 1.31/1.48 cnf(224,plain,
% 1.31/1.48 (P10(x2241,a27)),
% 1.31/1.48 inference(rename_variables,[],[79])).
% 1.31/1.48 cnf(227,plain,
% 1.31/1.48 (P7(f43(x2271,x2272),a27)),
% 1.31/1.48 inference(rename_variables,[],[86])).
% 1.31/1.48 cnf(236,plain,
% 1.31/1.48 (P10(a7,f10(f9(a8),a28))),
% 1.31/1.48 inference(scs_inference,[],[77,79,218,221,224,75,76,80,86,2,47,125,195,178,191,109,108,107,106])).
% 1.31/1.48 cnf(250,plain,
% 1.31/1.48 (~P7(a6,f9(a7))),
% 1.31/1.48 inference(scs_inference,[],[77,79,218,221,224,75,76,78,80,86,2,47,125,195,178,191,109,108,107,106,117,198,192,151,127,126,122])).
% 1.31/1.48 cnf(254,plain,
% 1.31/1.48 (E(f5(f10(f9(a8),a28)),f5(a7))),
% 1.31/1.48 inference(scs_inference,[],[77,79,218,221,224,75,76,78,80,86,2,47,125,195,178,191,109,108,107,106,117,198,192,151,127,126,122,112,43])).
% 1.31/1.48 cnf(257,plain,
% 1.31/1.48 (E(f30(x2571,f10(f9(a8),a28)),f30(x2571,a7))),
% 1.31/1.48 inference(scs_inference,[],[77,79,218,221,224,75,76,78,80,86,2,47,125,195,178,191,109,108,107,106,117,198,192,151,127,126,122,112,43,42,41,40])).
% 1.31/1.48 cnf(293,plain,
% 1.31/1.48 (E(f9(f10(f9(a8),a28)),f9(a7))),
% 1.31/1.48 inference(scs_inference,[],[77,79,218,221,224,75,76,78,80,86,2,47,125,195,178,191,109,108,107,106,117,198,192,151,127,126,122,112,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 1.31/1.48 cnf(302,plain,
% 1.31/1.48 (P7(f43(f43(a1,a1),f43(a1,f43(f33(a1),f33(a1)))),a32)),
% 1.31/1.48 inference(scs_inference,[],[77,79,218,221,224,75,76,78,80,86,2,47,125,195,178,191,109,108,107,106,117,198,192,151,127,126,122,112,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,156,176,177,171,168])).
% 1.31/1.48 cnf(315,plain,
% 1.31/1.48 (P7(f43(f43(a6,a6),f43(a6,f43(a6,a6))),f12(a7,a7))),
% 1.31/1.48 inference(scs_inference,[],[77,79,218,221,224,75,76,78,80,86,227,2,47,125,195,178,191,109,108,107,106,117,198,192,151,127,126,122,112,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,156,176,177,171,168,167,69,46,123,194,134,162])).
% 1.31/1.48 cnf(317,plain,
% 1.31/1.48 (P7(a6,f9(a8))),
% 1.31/1.48 inference(scs_inference,[],[77,79,218,221,224,75,76,78,80,86,227,2,47,125,195,178,191,109,108,107,106,117,198,192,151,127,126,122,112,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,156,176,177,171,168,167,69,46,123,194,134,162,132])).
% 1.31/1.48 cnf(319,plain,
% 1.31/1.48 (P7(a6,a28)),
% 1.31/1.48 inference(scs_inference,[],[77,79,218,221,224,75,76,78,80,86,227,2,47,125,195,178,191,109,108,107,106,117,198,192,151,127,126,122,112,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,156,176,177,171,168,167,69,46,123,194,134,162,132,131])).
% 1.31/1.48 cnf(321,plain,
% 1.31/1.48 (P14(a2)),
% 1.31/1.48 inference(scs_inference,[],[77,79,218,221,224,75,76,78,80,86,227,2,47,125,195,178,191,109,108,107,106,117,198,192,151,127,126,122,112,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,156,176,177,171,168,167,69,46,123,194,134,162,132,131,172])).
% 1.31/1.48 cnf(323,plain,
% 1.31/1.48 (~P7(f43(f43(f43(f43(x3231,x3231),f43(x3231,f43(x3232,x3232))),f43(f43(x3231,x3231),f43(x3231,f43(x3232,x3232)))),f43(f43(f43(x3231,x3231),f43(x3231,f43(x3232,x3232))),f43(a6,a6))),f19(f12(x3233,f9(a7))))),
% 1.31/1.48 inference(scs_inference,[],[77,79,218,221,224,75,76,78,80,86,227,2,47,125,195,178,191,109,108,107,106,117,198,192,151,127,126,122,112,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,156,176,177,171,168,167,69,46,123,194,134,162,132,131,172,202])).
% 1.31/1.48 cnf(342,plain,
% 1.31/1.48 (P15(a11,a6)),
% 1.31/1.48 inference(scs_inference,[],[319,113])).
% 1.31/1.48 cnf(346,plain,
% 1.31/1.48 (E(f43(f43(f20(f43(f43(a6,a6),f43(a6,f43(a6,a6)))),f20(f43(f43(a6,a6),f43(a6,f43(a6,a6))))),f43(f20(f43(f43(a6,a6),f43(a6,f43(a6,a6)))),f43(f39(f43(f43(a6,a6),f43(a6,f43(a6,a6)))),f39(f43(f43(a6,a6),f43(a6,f43(a6,a6))))))),f43(f43(a6,a6),f43(a6,f43(a6,a6))))),
% 1.31/1.48 inference(scs_inference,[],[315,319,113,152,158])).
% 1.31/1.48 cnf(353,plain,
% 1.31/1.48 (~P7(f43(f43(f43(f43(x3531,x3531),f43(x3531,f43(x3532,x3532))),f43(f43(x3531,x3531),f43(x3531,f43(x3532,x3532)))),f43(f43(f43(x3531,x3531),f43(x3531,f43(x3532,x3532))),f43(a6,a6))),f10(f19(f12(x3533,f9(a7))),x3534))),
% 1.31/1.48 inference(scs_inference,[],[98,80,323,315,254,236,319,113,152,158,49,3,186,132])).
% 1.31/1.48 cnf(355,plain,
% 1.31/1.48 (~P7(a6,a8)),
% 1.31/1.48 inference(scs_inference,[],[98,80,323,315,254,236,317,319,113,152,158,49,3,186,132,122])).
% 1.31/1.48 cnf(360,plain,
% 1.31/1.48 (P7(f43(x3601,x3602),a27)),
% 1.31/1.48 inference(rename_variables,[],[86])).
% 1.31/1.48 cnf(366,plain,
% 1.31/1.48 (~P10(a7,f9(a7))),
% 1.31/1.48 inference(scs_inference,[],[77,84,98,86,80,323,315,254,302,236,250,317,319,113,152,158,49,3,186,132,122,134,191,109,131,125])).
% 1.31/1.48 cnf(369,plain,
% 1.31/1.48 (P7(f43(x3691,x3692),a27)),
% 1.31/1.48 inference(rename_variables,[],[86])).
% 1.31/1.48 cnf(379,plain,
% 1.31/1.48 (~P1(f9(f10(f9(a8),a28)))),
% 1.31/1.48 inference(scs_inference,[],[77,84,98,86,360,369,76,80,323,315,254,293,302,236,250,317,319,321,113,152,158,49,3,186,132,122,134,191,109,131,125,123,194,47,46,142,62,44])).
% 1.31/1.48 cnf(381,plain,
% 1.31/1.48 (P10(x3811,a27)),
% 1.31/1.48 inference(rename_variables,[],[79])).
% 1.31/1.48 cnf(383,plain,
% 1.31/1.48 (P13(a11,a6,a27)),
% 1.31/1.48 inference(scs_inference,[],[77,84,98,79,381,86,360,369,76,80,323,315,254,293,302,236,250,317,319,321,113,152,158,49,3,186,132,122,134,191,109,131,125,123,194,47,46,142,62,44,118,166])).
% 1.31/1.48 cnf(387,plain,
% 1.31/1.48 (~E(f9(a7),a7)),
% 1.31/1.48 inference(scs_inference,[],[77,84,98,79,381,86,360,369,76,80,323,315,254,293,302,215,236,250,317,319,321,113,152,158,49,3,186,132,122,134,191,109,131,125,123,194,47,46,142,62,44,118,166,48,106])).
% 1.31/1.48 cnf(389,plain,
% 1.31/1.48 (~E(f19(f12(x3891,f9(a7))),a27)),
% 1.31/1.48 inference(scs_inference,[],[77,84,98,79,381,86,360,369,76,80,323,315,254,293,302,215,236,250,317,319,321,113,152,158,49,3,186,132,122,134,191,109,131,125,123,194,47,46,142,62,44,118,166,48,106,2])).
% 1.31/1.48 cnf(390,plain,
% 1.31/1.48 (~E(a7,f9(a7))),
% 1.31/1.49 inference(scs_inference,[],[77,84,98,79,381,86,360,369,76,80,323,315,254,293,302,215,236,250,317,319,321,113,152,158,49,3,186,132,122,134,191,109,131,125,123,194,47,46,142,62,44,118,166,48,106,2,107])).
% 1.31/1.49 cnf(392,plain,
% 1.31/1.49 (~P13(x3921,a7,f9(f10(f9(a8),a28)))),
% 1.31/1.49 inference(scs_inference,[],[77,84,98,79,381,86,360,369,76,80,323,315,254,293,302,215,236,250,317,319,321,113,152,158,49,3,186,132,122,134,191,109,131,125,123,194,47,46,142,62,44,118,166,48,106,2,107,53])).
% 1.31/1.49 cnf(399,plain,
% 1.31/1.49 (~E(a2,x3991)+P7(f23(a7,f9(a7)),a7)),
% 1.31/1.49 inference(scs_inference,[],[77,84,98,79,381,86,360,369,76,80,323,315,254,293,302,215,236,250,317,319,321,113,152,158,49,3,186,132,122,134,191,109,131,125,123,194,47,46,142,62,44,118,166,48,106,2,107,53,116,155,133,121])).
% 1.31/1.49 cnf(429,plain,
% 1.31/1.49 (P7(f23(a7,f9(a7)),a7)),
% 1.31/1.49 inference(equality_inference,[],[399])).
% 1.31/1.49 cnf(440,plain,
% 1.31/1.49 (~P10(f10(f9(a8),a28),f9(a7))),
% 1.31/1.49 inference(scs_inference,[],[79,86,80,366,389,129,49,122,48])).
% 1.31/1.49 cnf(445,plain,
% 1.31/1.49 (~E(a1,f9(f10(f9(a8),a28)))),
% 1.31/1.49 inference(scs_inference,[],[75,96,79,86,80,379,366,389,129,49,122,48,107,106,44])).
% 1.31/1.49 cnf(447,plain,
% 1.31/1.49 (~P10(a27,f10(f19(f12(x4471,f9(a7))),x4472))),
% 1.31/1.49 inference(scs_inference,[],[75,96,79,86,80,353,379,366,389,387,129,49,122,48,107,106,44,3,125])).
% 1.31/1.49 cnf(454,plain,
% 1.31/1.49 (~P7(f43(f43(f43(f43(x4541,x4541),f43(x4541,f43(x4542,x4542))),f43(f43(x4541,x4541),f43(x4541,f43(x4542,x4542)))),f43(f43(f43(x4541,x4541),f43(x4541,f43(x4542,x4542))),f43(a6,a6))),f10(f10(f19(f12(x4543,f9(a7))),x4544),x4545))),
% 1.31/1.49 inference(scs_inference,[],[75,96,99,79,86,80,353,379,366,392,389,387,355,383,129,49,122,48,107,106,44,3,125,52,2,47,51,132])).
% 1.31/1.49 cnf(458,plain,
% 1.31/1.49 (~P1(a8)),
% 1.31/1.49 inference(scs_inference,[],[75,96,99,79,86,80,353,379,366,392,389,387,355,383,129,49,122,48,107,106,44,3,125,52,2,47,51,132,131,109])).
% 1.31/1.49 cnf(460,plain,
% 1.31/1.49 (P7(a6,f10(f9(f43(a6,a6)),f9(f17(f17(f19(f12(f10(a31,f12(a28,a27)),a27)))))))),
% 1.31/1.49 inference(scs_inference,[],[75,96,99,79,86,80,353,379,366,392,389,387,355,383,217,129,49,122,48,107,106,44,3,125,52,2,47,51,132,131,109,123])).
% 1.31/1.49 cnf(481,plain,
% 1.31/1.49 (~E(f10(f9(a8),a28),f9(a7))),
% 1.31/1.49 inference(scs_inference,[],[215,440,447,460,390,293,106,131,49,3])).
% 1.31/1.49 cnf(482,plain,
% 1.31/1.49 (P7(f43(f43(a1,a1),f43(a1,f43(f33(a1),f33(a1)))),f12(a27,a27))),
% 1.31/1.49 inference(scs_inference,[],[215,84,440,447,460,390,302,293,106,131,49,3,125])).
% 1.31/1.49 cnf(484,plain,
% 1.31/1.49 (~E(a27,f10(f19(f12(x4841,f9(a7))),x4842))),
% 1.31/1.49 inference(scs_inference,[],[215,84,440,447,460,390,302,293,106,131,49,3,125,107])).
% 1.31/1.49 cnf(487,plain,
% 1.31/1.49 (P7(f43(x4871,x4872),a27)),
% 1.31/1.49 inference(rename_variables,[],[86])).
% 1.31/1.49 cnf(489,plain,
% 1.31/1.49 (P7(a6,f9(f43(a6,a6)))),
% 1.31/1.49 inference(scs_inference,[],[215,84,86,454,440,447,460,390,302,293,106,131,49,3,125,107,123,132])).
% 1.31/1.49 cnf(493,plain,
% 1.31/1.49 (~E(a27,f10(f10(f19(f12(x4931,f9(a7))),x4932),x4933))),
% 1.31/1.49 inference(scs_inference,[],[215,84,99,86,487,454,440,447,460,445,390,458,302,293,106,131,49,3,125,107,123,132,44,2,47])).
% 1.31/1.49 cnf(498,plain,
% 1.31/1.49 (~P7(a6,f17(f17(f19(f12(f10(a31,f12(a28,a27)),a27)))))),
% 1.31/1.49 inference(scs_inference,[],[92,215,84,99,86,487,454,440,447,460,445,390,458,302,293,106,131,49,3,125,107,123,132,44,2,47,50,176,122])).
% 1.31/1.49 cnf(500,plain,
% 1.31/1.49 (~P7(f43(f43(a6,a6),f43(a6,f43(x5001,x5001))),f33(f17(f19(f12(f10(a31,f12(a28,a27)),a27)))))),
% 1.31/1.49 inference(scs_inference,[],[92,215,84,99,86,487,454,440,447,460,445,390,458,302,293,106,131,49,3,125,107,123,132,44,2,47,50,176,122,174])).
% 1.31/1.49 cnf(502,plain,
% 1.31/1.49 (~P7(f43(f43(x5021,x5021),f43(x5021,f43(a27,a27))),f33(f19(f12(x5022,f9(a7)))))),
% 1.31/1.49 inference(scs_inference,[],[92,215,84,99,86,487,454,440,447,460,445,390,458,302,293,106,131,49,3,125,107,123,132,44,2,47,50,176,122,174,175])).
% 1.31/1.49 cnf(526,plain,
% 1.31/1.49 (~P10(a27,f10(f10(f19(f12(x5261,f9(a7))),x5262),x5263))),
% 1.31/1.49 inference(scs_inference,[],[79,498,493,217,147,118])).
% 1.31/1.49 cnf(529,plain,
% 1.31/1.49 (~P7(f43(f43(x5291,x5291),f43(x5291,f43(f43(f43(x5292,x5292),f43(x5292,f43(a27,a27))),f43(f43(x5292,x5292),f43(x5292,f43(a27,a27)))))),f12(x5293,f33(f19(f12(x5294,f9(a7))))))),
% 1.31/1.49 inference(scs_inference,[],[79,502,498,493,217,147,118,176])).
% 1.31/1.49 cnf(542,plain,
% 1.31/1.49 (E(f17(f10(a11,f12(a27,f17(f17(f19(f12(f10(f34(x5421,a31,a42),f12(f43(x5422,x5422),a27)),a27))))))),f30(x5421,x5422))),
% 1.31/1.49 inference(rename_variables,[],[101])).
% 1.31/1.49 cnf(543,plain,
% 1.31/1.49 (~P10(f10(f9(a8),a28),f17(f17(f19(f12(f10(a31,f12(a28,a27)),a27)))))),
% 1.31/1.49 inference(scs_inference,[],[216,97,101,79,502,498,493,257,217,147,118,176,106,107,132,131,122,3,125])).
% 1.31/1.49 cnf(546,plain,
% 1.31/1.49 (P7(f43(x5461,x5462),a27)),
% 1.31/1.49 inference(rename_variables,[],[86])).
% 1.31/1.49 cnf(550,plain,
% 1.31/1.49 (~E(a27,f33(f19(f12(x5501,f9(a7)))))),
% 1.31/1.49 inference(scs_inference,[],[216,97,101,79,86,546,502,498,493,257,217,147,118,176,106,107,132,131,122,3,125,123,49,2,47])).
% 1.31/1.49 cnf(551,plain,
% 1.31/1.49 (P7(f43(x5511,x5512),a27)),
% 1.31/1.49 inference(rename_variables,[],[86])).
% 1.31/1.49 cnf(563,plain,
% 1.31/1.49 (P7(f43(f43(a6,a6),f43(a6,f43(a6,a6))),f43(f43(f43(f20(f43(f43(a6,a6),f43(a6,f43(a6,a6)))),f20(f43(f43(a6,a6),f43(a6,f43(a6,a6))))),f43(f20(f43(f43(a6,a6),f43(a6,f43(a6,a6)))),f43(f39(f43(f43(a6,a6),f43(a6,f43(a6,a6)))),f39(f43(f43(a6,a6),f43(a6,f43(a6,a6))))))),x5631))),
% 1.31/1.49 inference(scs_inference,[],[216,97,101,542,79,86,546,551,502,498,493,346,257,217,147,118,176,106,107,132,131,122,3,125,123,49,2,47,196,198,127,167,202,46])).
% 1.31/1.49 cnf(581,plain,
% 1.31/1.49 (P10(x5811,a27)),
% 1.31/1.49 inference(rename_variables,[],[79])).
% 1.31/1.49 cnf(585,plain,
% 1.31/1.49 (~P7(a6,f43(a6,a6))),
% 1.31/1.49 inference(scs_inference,[],[79,543,550,489,118,106,122])).
% 1.31/1.49 cnf(588,plain,
% 1.31/1.49 (P7(f43(x5881,x5882),a27)),
% 1.31/1.49 inference(rename_variables,[],[86])).
% 1.31/1.49 cnf(644,plain,
% 1.31/1.49 (P7(f23(a7,f9(a7)),a28)),
% 1.31/1.49 inference(scs_inference,[],[100,93,215,79,581,86,588,529,500,543,484,550,429,489,482,379,346,220,217,118,106,122,125,107,46,49,3,2,44,47,140,189,133,121,151,126,43,41,39,37,36,35,34,32,31,30,27,26,22,20,19,17,16,14,9,6,171,168,201,127,71,132,131])).
% 1.31/1.49 cnf(659,plain,
% 1.31/1.49 (P15(a11,f23(a7,f9(a7)))),
% 1.31/1.49 inference(scs_inference,[],[100,93,215,216,79,581,86,588,529,563,500,543,484,550,429,489,482,379,346,220,217,342,118,106,122,125,107,46,49,3,2,44,47,140,189,133,121,151,126,43,41,39,37,36,35,34,32,31,30,27,26,22,20,19,17,16,14,9,6,171,168,201,127,71,132,131,170,169,165,62,191,129,160,113])).
% 1.31/1.49 cnf(702,plain,
% 1.31/1.49 ($false),
% 1.31/1.49 inference(scs_inference,[],[217,481,585,526,644,659,482,116,203,142,152,158,129,126]),
% 1.31/1.49 ['proof']).
% 1.31/1.49 % SZS output end Proof
% 1.31/1.49 % Total time :0.850000s
%------------------------------------------------------------------------------