TSTP Solution File: NUM183-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUM183-1 : 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 : 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 10:20:54 EDT 2023
% Result : Unsatisfiable 1.12s 1.25s
% Output : CNFRefutation 1.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM183-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.11/0.33 % Computer : n009.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Aug 25 08:12:51 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.18/0.56 start to proof:theBenchmark
% 1.12/1.24 %-------------------------------------------
% 1.12/1.24 % File :CSE---1.6
% 1.12/1.24 % Problem :theBenchmark
% 1.12/1.24 % Transform :cnf
% 1.12/1.24 % Format :tptp:raw
% 1.12/1.24 % Command :java -jar mcs_scs.jar %d %s
% 1.12/1.24
% 1.12/1.24 % Result :Theorem 0.580000s
% 1.12/1.24 % Output :CNFRefutation 0.580000s
% 1.12/1.24 %-------------------------------------------
% 1.12/1.25 %--------------------------------------------------------------------------
% 1.12/1.25 % File : NUM183-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 1.12/1.25 % Domain : Number Theory (Ordinals)
% 1.12/1.25 % Problem : Ordinals are either kind 1 or limit
% 1.12/1.25 % Version : [Qua92] axioms.
% 1.12/1.25 % English :
% 1.12/1.25
% 1.12/1.25 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 1.12/1.25 % Source : [Quaife]
% 1.12/1.25 % Names : LIM2.4 [Quaife]
% 1.12/1.25
% 1.12/1.25 % Status : Unsatisfiable
% 1.12/1.25 % Rating : 0.14 v8.1.0, 0.11 v7.4.0, 0.24 v7.3.0, 0.25 v7.2.0, 0.17 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.29 v6.0.0, 0.20 v5.5.0, 0.55 v5.3.0, 0.50 v5.2.0, 0.44 v5.1.0, 0.41 v5.0.0, 0.43 v4.1.0, 0.31 v4.0.1, 0.36 v4.0.0, 0.45 v3.7.0, 0.40 v3.5.0, 0.45 v3.4.0, 0.33 v3.3.0, 0.36 v3.2.0, 0.15 v3.1.0, 0.27 v2.7.0, 0.25 v2.6.0, 0.11 v2.5.0, 0.18 v2.4.0, 0.12 v2.3.0, 0.00 v2.2.1, 0.17 v2.2.0, 0.00 v2.1.0
% 1.12/1.25 % Syntax : Number of clauses : 161 ( 49 unt; 12 nHn; 122 RR)
% 1.12/1.25 % Number of literals : 325 ( 71 equ; 157 neg)
% 1.12/1.25 % Maximal clause size : 5 ( 2 avg)
% 1.12/1.25 % Maximal term depth : 6 ( 1 avg)
% 1.12/1.25 % Number of predicates : 17 ( 16 usr; 0 prp; 1-3 aty)
% 1.12/1.25 % Number of functors : 63 ( 63 usr; 19 con; 0-3 aty)
% 1.12/1.25 % Number of variables : 303 ( 40 sgn)
% 1.12/1.25 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.12/1.25
% 1.12/1.25 % Comments : Not in [Qua92]. Theorem LIM2.4 in [Quaife].
% 1.12/1.25 % : Quaife proves all these problems by augmenting the axioms with
% 1.12/1.25 % all previously proved theorems. The user may create an augmented
% 1.12/1.25 % version of this problem by adding all previously proved theorems.
% 1.12/1.25 % These include all of [Qua92]'s set theory and Boolean algebra
% 1.12/1.25 % theorems, available from the SET domain.
% 1.12/1.25 % Bugfixes : v1.0.1 - Bugfix in SET004-1.ax.
% 1.12/1.25 % : v2.1.0 - Bugfix in SET004-0.ax.
% 1.12/1.25 %--------------------------------------------------------------------------
% 1.12/1.25 %----Include von Neuman-Bernays-Godel set theory axioms
% 1.12/1.25 include('Axioms/SET004-0.ax').
% 1.12/1.25 %----Include Set theory (Boolean algebra) axioms based on NBG set theory
% 1.12/1.25 include('Axioms/SET004-1.ax').
% 1.12/1.25 %----Include ordinal number theory axioms.
% 1.12/1.25 include('Axioms/NUM004-0.ax').
% 1.12/1.25 %--------------------------------------------------------------------------
% 1.12/1.25 cnf(prove_ordinals_are_kind_1_or_limit_1,negated_conjecture,
% 1.12/1.25 member(x,ordinal_numbers) ).
% 1.12/1.25
% 1.12/1.25 cnf(prove_ordinals_are_kind_1_or_limit_2,negated_conjecture,
% 1.12/1.25 ~ member(x,kind_1_ordinals) ).
% 1.12/1.25
% 1.12/1.25 cnf(prove_ordinals_are_kind_1_or_limit_3,negated_conjecture,
% 1.12/1.25 ~ member(x,limit_ordinals) ).
% 1.12/1.25
% 1.12/1.25 %--------------------------------------------------------------------------
% 1.12/1.25 %-------------------------------------------
% 1.12/1.25 % Proof found
% 1.12/1.25 % SZS status Theorem for theBenchmark
% 1.12/1.25 % SZS output start Proof
% 1.12/1.25 %ClaNum:216(EqnAxiom:74)
% 1.12/1.25 %VarNum:1151(SingletonVarNum:271)
% 1.12/1.25 %MaxLitNum:5
% 1.12/1.25 %MaxfuncDepth:24
% 1.12/1.25 %SharedTerms:69
% 1.12/1.25 %goalClause: 78 103 104
% 1.12/1.25 %singleGoalClaCount:3
% 1.12/1.25 [75]P1(a1)
% 1.12/1.25 [76]P2(a2)
% 1.12/1.25 [77]P7(a1,a27)
% 1.12/1.25 [78]P7(a43,a28)
% 1.12/1.25 [103]~P7(a43,a6)
% 1.12/1.25 [104]~P7(a43,a20)
% 1.12/1.25 [81]P10(a9,f10(a27,a27))
% 1.12/1.25 [82]P10(a31,f10(a27,a27))
% 1.12/1.25 [83]P10(a14,f10(a27,a27))
% 1.12/1.25 [84]P10(a32,f10(a27,a27))
% 1.12/1.25 [85]P10(a42,f10(a27,a27))
% 1.12/1.25 [80]E(f8(f7(a6),a28),a20)
% 1.12/1.25 [90]P10(a13,f10(a27,f10(a27,a27)))
% 1.12/1.25 [91]P10(a3,f10(a27,f10(a27,a27)))
% 1.12/1.25 [92]E(f8(f7(f12(a9,f7(a16))),a9),a37)
% 1.12/1.25 [96]E(f8(f15(f17(f10(a41,a27))),a41),a16)
% 1.12/1.25 [97]E(f8(f10(a27,a27),f8(f10(a27,a27),f7(f12(f7(a9),f15(f17(f10(a9,a27))))))),a41)
% 1.12/1.25 [99]E(f7(f8(f7(f44(a22,a22)),f7(f15(f15(f17(f10(f8(a31,f10(a28,a27)),a27))))))),a6)
% 1.12/1.25 [79]P10(x791,a27)
% 1.12/1.25 [87]P10(f11(x871),f10(a27,a27))
% 1.12/1.25 [88]P10(f33(x881),f10(a27,a27))
% 1.12/1.25 [94]P10(f38(x941),f10(f10(a27,a27),a27))
% 1.12/1.25 [95]P10(f17(x951),f10(f10(a27,a27),a27))
% 1.12/1.25 [98]E(f8(f15(x981),f7(f15(f8(f12(f15(f17(f10(a9,a27))),x981),a16)))),f5(x981))
% 1.12/1.25 [102]E(f18(f23(f8(x1021,f10(f15(f15(f17(f10(f8(f15(f17(f10(x1021,a27))),f10(f44(f18(f23(f12(x1021,f15(f17(f10(x1021,a27)))),a16)),f18(f23(f12(x1021,f15(f17(f10(x1021,a27)))),a16))),a27)),a27)))),f44(f39(f23(f12(x1021,f15(f17(f10(x1021,a27)))),a16)),f39(f23(f12(x1021,f15(f17(f10(x1021,a27)))),a16))))),a22)),f40(x1021))
% 1.12/1.25 [86]P7(f44(x861,x862),a27)
% 1.12/1.25 [89]P10(f12(x891,x892),f10(a27,a27))
% 1.12/1.25 [101]E(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(f34(x1011,a31,a42),f10(f44(x1012,x1012),a27)),a27))))))),f30(x1011,x1012))
% 1.12/1.25 [100]E(f34(a22,f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(a4,f10(f44(x1001,x1001),a27)),a27))))))),a42),f29(x1001,x1002))
% 1.12/1.25 [93]E(f8(f10(x931,x932),x933),f8(x933,f10(x931,x932)))
% 1.12/1.25 [105]~P11(x1051)+P2(x1051)
% 1.12/1.25 [106]~P12(x1061)+P2(x1061)
% 1.12/1.25 [110]~P1(x1101)+P10(a1,x1101)
% 1.12/1.25 [111]~P1(x1111)+P7(a22,x1111)
% 1.12/1.25 [115]~P7(x1151,a28)+P15(a9,x1151)
% 1.12/1.25 [107]P7(x1071,a1)+E(f19(x1071),a22)
% 1.12/1.25 [113]P7(f35(x1131),x1131)+E(x1131,a22)
% 1.12/1.25 [114]~P7(x1141,a1)+E(f19(x1141),x1141)
% 1.12/1.25 [119]~P2(x1191)+P10(x1191,f10(a27,a27))
% 1.12/1.25 [112]E(x1121,a22)+E(f8(x1121,f35(x1121)),a22)
% 1.12/1.25 [130]~P12(x1301)+E(f10(f15(f15(x1301)),f15(f15(x1301))),f15(x1301))
% 1.12/1.25 [148]~P11(x1481)+P2(f15(f17(f10(x1481,a27))))
% 1.12/1.25 [153]~P7(x1531,a27)+P7(f15(f8(a9,f10(a27,x1531))),a27)
% 1.12/1.25 [154]~P7(x1541,a28)+P10(f15(f8(a9,f10(a27,x1541))),x1541)
% 1.12/1.25 [157]~P14(x1571)+P10(f12(x1571,f15(f17(f10(x1571,a27)))),a16)
% 1.12/1.25 [158]~P2(x1581)+P10(f12(x1581,f15(f17(f10(x1581,a27)))),a16)
% 1.12/1.25 [159]~P12(x1591)+P10(f15(f15(f17(f10(x1591,a27)))),f15(f15(x1591)))
% 1.12/1.25 [169]~P7(x1691,a27)+P7(f44(f44(x1691,x1691),f44(x1691,f44(f15(x1691),f15(x1691)))),a14)
% 1.12/1.25 [170]~P7(x1701,a27)+P7(f44(f44(x1701,x1701),f44(x1701,f44(f33(x1701),f33(x1701)))),a32)
% 1.12/1.25 [174]P14(x1741)+~P10(f12(x1741,f15(f17(f10(x1741,a27)))),a16)
% 1.12/1.25 [194]~P1(x1941)+P10(f15(f15(f17(f10(f8(a31,f10(x1941,a27)),a27)))),x1941)
% 1.12/1.25 [200]~P7(x2001,a27)+P7(f7(f15(f15(f17(f10(f8(a9,f10(f7(x2001),a27)),a27))))),a27)
% 1.12/1.25 [108]~E(x1082,x1081)+P10(x1081,x1082)
% 1.12/1.25 [109]~E(x1091,x1092)+P10(x1091,x1092)
% 1.12/1.25 [118]~P15(x1181,x1182)+P3(x1181,x1182)
% 1.12/1.25 [116]P2(x1161)+~P7(x1162,f36(x1161))
% 1.12/1.25 [117]P2(x1171)+~P7(x1171,f36(x1172))
% 1.12/1.25 [121]~P7(x1211,f36(x1212))+P7(f15(x1211),a28)
% 1.12/1.25 [123]P10(x1231,x1232)+P7(f23(x1231,x1232),x1231)
% 1.12/1.25 [124]~P7(x1241,x1242)+~P7(x1241,f7(x1242))
% 1.12/1.25 [128]~P7(x1281,a27)+P7(x1281,f44(x1282,x1281))
% 1.12/1.25 [129]~P7(x1291,a27)+P7(x1291,f44(x1291,x1292))
% 1.12/1.25 [135]P10(x1351,x1352)+~P7(f23(x1351,x1352),x1352)
% 1.12/1.25 [122]~P7(x1222,f36(x1221))+E(f12(x1221,f33(x1222)),x1222)
% 1.12/1.25 [147]~P9(x1471,x1472)+P10(f8(x1471,f10(x1472,x1472)),f7(a16))
% 1.12/1.25 [151]P9(x1511,x1512)+~P10(f8(x1511,f10(x1512,x1512)),f7(a16))
% 1.12/1.25 [163]~P5(x1631,x1632)+E(f8(f8(x1631,f15(f17(f10(x1631,a27)))),f10(x1632,x1632)),a22)
% 1.12/1.25 [182]P5(x1821,x1822)+~E(f8(f8(x1821,f15(f17(f10(x1821,a27)))),f10(x1822,x1822)),a22)
% 1.12/1.25 [152]~P7(x1522,f15(x1521))+~E(f8(x1521,f10(f44(x1522,x1522),a27)),a22)
% 1.12/1.25 [171]E(f15(x1711),x1712)+~P7(f44(f44(x1711,x1711),f44(x1711,f44(x1712,x1712))),a14)
% 1.12/1.25 [172]E(f33(x1721),x1722)+~P7(f44(f44(x1721,x1721),f44(x1721,f44(x1722,x1722))),a32)
% 1.12/1.25 [173]P7(x1731,x1732)+~P7(f44(f44(x1731,x1731),f44(x1731,f44(x1732,x1732))),a9)
% 1.12/1.25 [181]~P16(x1811,x1812)+P10(f12(f8(x1811,f10(x1812,x1812)),f8(x1811,f10(x1812,x1812))),f8(x1811,f10(x1812,x1812)))
% 1.12/1.25 [189]P16(x1891,x1892)+~P10(f12(f8(x1891,f10(x1892,x1892)),f8(x1891,f10(x1892,x1892))),f8(x1891,f10(x1892,x1892)))
% 1.12/1.25 [186]~P7(f44(f44(x1861,x1861),f44(x1861,f44(x1862,x1862))),a31)+E(f7(f8(f7(x1861),f7(f44(x1861,x1861)))),x1862)
% 1.12/1.25 [195]~P7(f44(f44(x1951,x1951),f44(x1951,f44(x1952,x1952))),a42)+E(f15(f8(a9,f10(a27,f15(f15(f17(f10(x1951,a27))))))),x1952)
% 1.12/1.25 [206]~P7(f44(f44(x2061,x2061),f44(x2061,f44(x2062,x2062))),f10(a27,a27))+P7(f44(f44(x2061,x2061),f44(x2061,f44(f44(f44(x2062,x2062),f44(x2062,f44(f12(x2061,x2062),f12(x2061,x2062)))),f44(f44(x2062,x2062),f44(x2062,f44(f12(x2061,x2062),f12(x2061,x2062))))))),a13)
% 1.12/1.25 [205]~P3(x2052,x2051)+P10(f10(x2051,x2051),f7(f8(f7(a16),f7(f7(f8(f7(x2052),f7(f15(f17(f10(x2052,a27))))))))))
% 1.12/1.25 [207]P3(x2071,x2072)+~P10(f10(x2072,x2072),f7(f8(f7(a16),f7(f7(f8(f7(x2071),f7(f15(f17(f10(x2071,a27))))))))))
% 1.12/1.25 [138]P2(x1381)+~P4(x1381,x1382,x1383)
% 1.12/1.25 [139]P2(x1391)+~P8(x1391,x1392,x1393)
% 1.12/1.25 [140]P12(x1401)+~P6(x1402,x1403,x1401)
% 1.12/1.25 [141]P12(x1411)+~P6(x1412,x1411,x1413)
% 1.12/1.25 [144]P10(x1441,x1442)+~P13(x1443,x1441,x1442)
% 1.12/1.25 [150]~P6(x1501,x1502,x1503)+P4(x1501,x1502,x1503)
% 1.12/1.25 [133]P7(x1331,x1332)+~P7(x1331,f8(x1333,x1332))
% 1.12/1.25 [134]P7(x1341,x1342)+~P7(x1341,f8(x1342,x1343))
% 1.12/1.25 [142]~P8(x1421,x1422,x1423)+E(f15(x1421),x1422)
% 1.12/1.25 [145]~P4(x1452,x1451,x1453)+E(f15(f15(x1451)),f15(x1452))
% 1.12/1.25 [156]~P13(x1561,x1563,x1562)+P10(f15(f8(x1561,f10(x1562,x1563))),x1563)
% 1.12/1.25 [175]E(f12(x1751,x1752),x1753)+~P7(f44(f44(x1752,x1752),f44(x1752,f44(x1753,x1753))),f11(x1751))
% 1.12/1.25 [176]P7(x1761,f15(x1762))+~P7(f44(f44(x1761,x1761),f44(x1761,f44(x1763,x1763))),f33(x1762))
% 1.12/1.25 [177]E(f8(x1771,f10(x1772,a27)),x1773)+~P7(f44(f44(x1772,x1772),f44(x1772,f44(x1773,x1773))),f33(x1771))
% 1.12/1.25 [160]~P7(x1601,f10(x1602,x1603))+E(f44(f44(f18(x1601),f18(x1601)),f44(f18(x1601),f44(f39(x1601),f39(x1601)))),x1601)
% 1.12/1.25 [165]~P8(x1651,x1653,x1652)+P10(f15(f15(f17(f10(x1651,a27)))),x1652)
% 1.12/1.25 [166]~P4(x1661,x1663,x1662)+P10(f15(f15(f17(f10(x1661,a27)))),f15(f15(x1662)))
% 1.12/1.25 [201]E(f12(x2011,x2012),x2013)+~P7(f44(f44(x2011,x2011),f44(x2011,f44(f44(f44(x2012,x2012),f44(x2012,f44(x2013,x2013))),f44(f44(x2012,x2012),f44(x2012,f44(x2013,x2013)))))),a13)
% 1.12/1.25 [202]P7(x2021,f15(x2022))+~P7(f44(f44(x2022,x2022),f44(x2022,f44(f44(f44(x2021,x2021),f44(x2021,f44(x2023,x2023))),f44(f44(x2021,x2021),f44(x2021,f44(x2023,x2023)))))),a3)
% 1.12/1.25 [210]~P7(f44(f44(x2101,x2101),f44(x2101,f44(f44(f44(x2102,x2102),f44(x2102,f44(x2103,x2103))),f44(f44(x2102,x2102),f44(x2102,f44(x2103,x2103)))))),a3)+E(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2101,f10(f44(x2102,x2102),a27)),a27))))))),x2103)
% 1.12/1.25 [178]P7(x1781,x1782)+~P7(f44(f44(x1783,x1783),f44(x1783,f44(x1781,x1781))),f10(x1784,x1782))
% 1.12/1.25 [179]P7(x1791,x1792)+~P7(f44(f44(x1791,x1791),f44(x1791,f44(x1793,x1793))),f10(x1792,x1794))
% 1.12/1.25 [203]~P7(f44(f44(f44(f44(x2033,x2033),f44(x2033,f44(x2031,x2031))),f44(f44(x2033,x2033),f44(x2033,f44(x2031,x2031)))),f44(f44(f44(x2033,x2033),f44(x2033,f44(x2031,x2031))),f44(x2032,x2032))),f38(x2034))+P7(f44(f44(f44(f44(x2031,x2031),f44(x2031,f44(x2032,x2032))),f44(f44(x2031,x2031),f44(x2031,f44(x2032,x2032)))),f44(f44(f44(x2031,x2031),f44(x2031,f44(x2032,x2032))),f44(x2033,x2033))),x2034)
% 1.12/1.25 [204]~P7(f44(f44(f44(f44(x2042,x2042),f44(x2042,f44(x2041,x2041))),f44(f44(x2042,x2042),f44(x2042,f44(x2041,x2041)))),f44(f44(f44(x2042,x2042),f44(x2042,f44(x2041,x2041))),f44(x2043,x2043))),f17(x2044))+P7(f44(f44(f44(f44(x2041,x2041),f44(x2041,f44(x2042,x2042))),f44(f44(x2041,x2041),f44(x2041,f44(x2042,x2042)))),f44(f44(f44(x2041,x2041),f44(x2041,f44(x2042,x2042))),f44(x2043,x2043))),x2044)
% 1.12/1.25 [212]~P7(f44(f44(x2124,x2124),f44(x2124,f44(x2121,x2121))),f12(x2122,x2123))+P7(x2121,f15(f15(f17(f10(f8(x2122,f10(f15(f15(f17(f10(f8(x2123,f10(f44(x2124,x2124),a27)),a27)))),a27)),a27)))))
% 1.12/1.25 [155]~P2(x1551)+P11(x1551)+~P2(f15(f17(f10(x1551,a27))))
% 1.12/1.25 [183]P2(x1831)+~P10(x1831,f10(a27,a27))+~P10(f12(x1831,f15(f17(f10(x1831,a27)))),a16)
% 1.12/1.25 [197]P1(x1971)+~P7(a22,x1971)+~P10(f15(f15(f17(f10(f8(a31,f10(x1971,a27)),a27)))),x1971)
% 1.12/1.25 [211]~P7(x2111,a27)+E(x2111,a22)+P7(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(a2,f10(f44(x2111,x2111),a27)),a27))))))),x2111)
% 1.12/1.25 [120]~P10(x1202,x1201)+~P10(x1201,x1202)+E(x1201,x1202)
% 1.12/1.25 [125]P7(x1251,x1252)+P7(x1251,f7(x1252))+~P7(x1251,a27)
% 1.12/1.26 [126]~P3(x1261,x1262)+P15(x1261,x1262)+~E(f26(x1261,x1262),a22)
% 1.12/1.26 [132]~P3(x1321,x1322)+P15(x1321,x1322)+P10(f26(x1321,x1322),x1322)
% 1.12/1.26 [149]P7(x1492,f15(x1491))+~P7(x1492,a27)+E(f8(x1491,f10(f44(x1492,x1492),a27)),a22)
% 1.12/1.26 [190]~P7(x1901,x1902)+~P7(f44(f44(x1901,x1901),f44(x1901,f44(x1902,x1902))),f10(a27,a27))+P7(f44(f44(x1901,x1901),f44(x1901,f44(x1902,x1902))),a9)
% 1.12/1.26 [180]~P2(x1801)+P8(x1801,f15(x1801),x1802)+~P10(f15(f15(f17(f10(x1801,a27)))),x1802)
% 1.12/1.26 [192]~P7(f44(f44(x1921,x1921),f44(x1921,f44(x1922,x1922))),f10(a27,a27))+~E(f7(f8(f7(x1921),f7(f44(x1921,x1921)))),x1922)+P7(f44(f44(x1921,x1921),f44(x1921,f44(x1922,x1922))),a31)
% 1.12/1.26 [196]~P2(x1961)+~P7(x1962,a27)+P7(f15(f15(f17(f10(f8(x1961,f10(x1962,a27)),a27)))),a27)
% 1.12/1.26 [198]~P7(f44(f44(x1981,x1981),f44(x1981,f44(x1982,x1982))),f10(a27,a27))+P7(f44(f44(x1981,x1981),f44(x1981,f44(x1982,x1982))),a42)+~E(f15(f8(a9,f10(a27,f15(f15(f17(f10(x1981,a27))))))),x1982)
% 1.12/1.26 [127]~P7(x1271,x1273)+P7(x1271,x1272)+~P10(x1273,x1272)
% 1.12/1.26 [131]E(x1311,x1312)+E(x1311,x1313)+~P7(x1311,f44(x1313,x1312))
% 1.12/1.26 [136]~P7(x1361,x1363)+~P7(x1361,x1362)+P7(x1361,f8(x1362,x1363))
% 1.12/1.26 [167]~P7(x1671,f15(x1673))+~E(f8(x1673,f10(x1671,a27)),x1672)+P7(f44(f44(x1671,x1671),f44(x1671,f44(x1672,x1672))),f33(x1673))
% 1.12/1.26 [168]~P10(x1682,x1683)+P13(x1681,x1682,x1683)+~P10(f15(f8(x1681,f10(x1683,x1682))),x1682)
% 1.12/1.26 [191]~E(f12(x1913,x1911),x1912)+P7(f44(f44(x1911,x1911),f44(x1911,f44(x1912,x1912))),f11(x1913))+~P7(f44(f44(x1911,x1911),f44(x1911,f44(x1912,x1912))),f10(a27,a27))
% 1.12/1.26 [188]~P15(x1881,x1883)+~P10(x1882,x1883)+E(f15(f8(x1881,f10(x1882,f44(f21(x1881,x1882),f21(x1881,x1882))))),a22)
% 1.12/1.26 [214]~P7(x2142,f15(x2141))+~P7(f44(f44(x2141,x2141),f44(x2141,f44(f44(f44(x2142,x2142),f44(x2142,f44(x2143,x2143))),f44(f44(x2142,x2142),f44(x2142,f44(x2143,x2143)))))),f10(a27,f10(a27,a27)))+P7(f44(f44(x2141,x2141),f44(x2141,f44(f44(f44(x2142,x2142),f44(x2142,f44(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2141,f10(f44(x2142,x2142),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2141,f10(f44(x2142,x2142),a27)),a27)))))))))),f44(f44(x2142,x2142),f44(x2142,f44(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2141,f10(f44(x2142,x2142),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2141,f10(f44(x2142,x2142),a27)),a27))))))))))))),a3)
% 1.12/1.26 [164]~P7(x1642,x1644)+~P7(x1641,x1643)+P7(f44(f44(x1641,x1641),f44(x1641,f44(x1642,x1642))),f10(x1643,x1644))
% 1.12/1.26 [208]~P7(f44(f44(f44(f44(x2082,x2082),f44(x2082,f44(x2083,x2083))),f44(f44(x2082,x2082),f44(x2082,f44(x2083,x2083)))),f44(f44(f44(x2082,x2082),f44(x2082,f44(x2083,x2083))),f44(x2081,x2081))),x2084)+P7(f44(f44(f44(f44(x2081,x2081),f44(x2081,f44(x2082,x2082))),f44(f44(x2081,x2081),f44(x2081,f44(x2082,x2082)))),f44(f44(f44(x2081,x2081),f44(x2081,f44(x2082,x2082))),f44(x2083,x2083))),f38(x2084))+~P7(f44(f44(f44(f44(x2081,x2081),f44(x2081,f44(x2082,x2082))),f44(f44(x2081,x2081),f44(x2081,f44(x2082,x2082)))),f44(f44(f44(x2081,x2081),f44(x2081,f44(x2082,x2082))),f44(x2083,x2083))),f10(f10(a27,a27),a27))
% 1.12/1.26 [209]~P7(f44(f44(f44(f44(x2092,x2092),f44(x2092,f44(x2091,x2091))),f44(f44(x2092,x2092),f44(x2092,f44(x2091,x2091)))),f44(f44(f44(x2092,x2092),f44(x2092,f44(x2091,x2091))),f44(x2093,x2093))),x2094)+P7(f44(f44(f44(f44(x2091,x2091),f44(x2091,f44(x2092,x2092))),f44(f44(x2091,x2091),f44(x2091,f44(x2092,x2092)))),f44(f44(f44(x2091,x2091),f44(x2091,f44(x2092,x2092))),f44(x2093,x2093))),f17(x2094))+~P7(f44(f44(f44(f44(x2091,x2091),f44(x2091,f44(x2092,x2092))),f44(f44(x2091,x2091),f44(x2091,f44(x2092,x2092)))),f44(f44(f44(x2091,x2091),f44(x2091,f44(x2092,x2092))),f44(x2093,x2093))),f10(f10(a27,a27),a27))
% 1.12/1.26 [213]~P7(f44(f44(x2131,x2131),f44(x2131,f44(x2132,x2132))),f10(a27,a27))+P7(f44(f44(x2131,x2131),f44(x2131,f44(x2132,x2132))),f12(x2133,x2134))+~P7(x2132,f15(f15(f17(f10(f8(x2133,f10(f15(f15(f17(f10(f8(x2134,f10(f44(x2131,x2131),a27)),a27)))),a27)),a27)))))
% 1.12/1.26 [215]~P6(x2152,x2155,x2151)+~P7(f44(f44(x2153,x2153),f44(x2153,f44(x2154,x2154))),f15(x2155))+E(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2151,f10(f44(f44(f44(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2152,f10(f44(x2153,x2153),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2152,f10(f44(x2153,x2153),a27)),a27)))))))),f44(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2152,f10(f44(x2153,x2153),a27)),a27))))))),f44(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2152,f10(f44(x2154,x2154),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2152,f10(f44(x2154,x2154),a27)),a27)))))))))),f44(f44(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2152,f10(f44(x2153,x2153),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2152,f10(f44(x2153,x2153),a27)),a27)))))))),f44(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2152,f10(f44(x2153,x2153),a27)),a27))))))),f44(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2152,f10(f44(x2154,x2154),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2152,f10(f44(x2154,x2154),a27)),a27))))))))))),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2152,f10(f44(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2155,f10(f44(f44(f44(x2153,x2153),f44(x2153,f44(x2154,x2154))),f44(f44(x2153,x2153),f44(x2153,f44(x2154,x2154)))),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2155,f10(f44(f44(f44(x2153,x2153),f44(x2153,f44(x2154,x2154))),f44(f44(x2153,x2153),f44(x2153,f44(x2154,x2154)))),a27)),a27)))))))),a27)),a27))))))))
% 1.12/1.26 [161]P7(x1611,a28)+~P15(a9,x1611)+E(x1611,a28)+~P10(f15(f8(a9,f10(a27,x1611))),x1611)
% 1.12/1.26 [162]~P7(x1621,a27)+~P15(a9,x1621)+P7(x1621,a28)+~P10(f15(f8(a9,f10(a27,x1621))),x1621)
% 1.12/1.26 [185]~P2(x1851)+P12(x1851)+~E(f10(f15(f15(x1851)),f15(f15(x1851))),f15(x1851))+~P10(f15(f15(f17(f10(x1851,a27)))),f15(f15(x1851)))
% 1.12/1.26 [137]~P15(x1372,x1373)+~P10(x1371,x1373)+P7(f21(x1372,x1371),x1371)+E(x1371,a22)
% 1.12/1.26 [184]~P2(x1841)+P4(x1841,x1842,x1843)+~E(f15(f15(x1842)),f15(x1841))+~P10(f15(f15(f17(f10(x1841,a27)))),f15(f15(x1843)))
% 1.12/1.26 [187]~P3(x1871,x1872)+P15(x1871,x1872)+~P7(x1873,f26(x1871,x1872))+~E(f15(f8(x1871,f10(f26(x1871,x1872),f44(x1873,x1873)))),a22)
% 1.12/1.26 [146]~P15(x1461,x1463)+~P10(x1462,x1463)+~P7(x1464,x1462)+P7(f21(x1461,x1462),x1462)
% 1.12/1.26 [193]~P10(x1931,x1932)+~P7(x1933,x1931)+~P15(x1934,x1932)+~P7(f44(f44(x1933,x1933),f44(x1933,f44(f21(x1934,x1931),f21(x1934,x1931)))),x1934)
% 1.12/1.26 [143]~P2(x1431)+~P2(x1432)+P7(x1431,f36(x1432))+~E(f12(x1432,f33(x1431)),x1431)+~P7(f15(x1431),a28)
% 1.12/1.26 [199]~P12(x1993)+~P12(x1992)+~P4(x1991,x1992,x1993)+P6(x1991,x1992,x1993)+P7(f44(f44(f24(x1991,x1992,x1993),f24(x1991,x1992,x1993)),f44(f24(x1991,x1992,x1993),f44(f25(x1991,x1992,x1993),f25(x1991,x1992,x1993)))),f15(x1992))
% 1.12/1.26 [216]~P12(x2163)+~P12(x2162)+~P4(x2161,x2162,x2163)+P6(x2161,x2162,x2163)+~E(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2163,f10(f44(f44(f44(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2161,f10(f44(f24(x2161,x2162,x2163),f24(x2161,x2162,x2163)),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2161,f10(f44(f24(x2161,x2162,x2163),f24(x2161,x2162,x2163)),a27)),a27)))))))),f44(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2161,f10(f44(f24(x2161,x2162,x2163),f24(x2161,x2162,x2163)),a27)),a27))))))),f44(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2161,f10(f44(f25(x2161,x2162,x2163),f25(x2161,x2162,x2163)),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2161,f10(f44(f25(x2161,x2162,x2163),f25(x2161,x2162,x2163)),a27)),a27)))))))))),f44(f44(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2161,f10(f44(f24(x2161,x2162,x2163),f24(x2161,x2162,x2163)),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2161,f10(f44(f24(x2161,x2162,x2163),f24(x2161,x2162,x2163)),a27)),a27)))))))),f44(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2161,f10(f44(f24(x2161,x2162,x2163),f24(x2161,x2162,x2163)),a27)),a27))))))),f44(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2161,f10(f44(f25(x2161,x2162,x2163),f25(x2161,x2162,x2163)),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2161,f10(f44(f25(x2161,x2162,x2163),f25(x2161,x2162,x2163)),a27)),a27))))))))))),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2161,f10(f44(f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2162,f10(f44(f44(f44(f24(x2161,x2162,x2163),f24(x2161,x2162,x2163)),f44(f24(x2161,x2162,x2163),f44(f25(x2161,x2162,x2163),f25(x2161,x2162,x2163)))),f44(f44(f24(x2161,x2162,x2163),f24(x2161,x2162,x2163)),f44(f24(x2161,x2162,x2163),f44(f25(x2161,x2162,x2163),f25(x2161,x2162,x2163))))),a27)),a27))))))),f15(f8(a9,f10(a27,f15(f15(f17(f10(f8(x2162,f10(f44(f44(f44(f24(x2161,x2162,x2163),f24(x2161,x2162,x2163)),f44(f24(x2161,x2162,x2163),f44(f25(x2161,x2162,x2163),f25(x2161,x2162,x2163)))),f44(f44(f24(x2161,x2162,x2163),f24(x2161,x2162,x2163)),f44(f24(x2161,x2162,x2163),f44(f25(x2161,x2162,x2163),f25(x2161,x2162,x2163))))),a27)),a27)))))))),a27)),a27))))))))
% 1.12/1.26 %EqnAxiom
% 1.12/1.26 [1]E(x11,x11)
% 1.12/1.26 [2]E(x22,x21)+~E(x21,x22)
% 1.12/1.26 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.12/1.26 [4]~E(x41,x42)+E(f7(x41),f7(x42))
% 1.12/1.26 [5]~E(x51,x52)+E(f8(x51,x53),f8(x52,x53))
% 1.12/1.26 [6]~E(x61,x62)+E(f8(x63,x61),f8(x63,x62))
% 1.12/1.26 [7]~E(x71,x72)+E(f10(x71,x73),f10(x72,x73))
% 1.12/1.26 [8]~E(x81,x82)+E(f10(x83,x81),f10(x83,x82))
% 1.12/1.26 [9]~E(x91,x92)+E(f17(x91),f17(x92))
% 1.12/1.26 [10]~E(x101,x102)+E(f15(x101),f15(x102))
% 1.12/1.26 [11]~E(x111,x112)+E(f44(x111,x113),f44(x112,x113))
% 1.12/1.26 [12]~E(x121,x122)+E(f44(x123,x121),f44(x123,x122))
% 1.12/1.26 [13]~E(x131,x132)+E(f25(x131,x133,x134),f25(x132,x133,x134))
% 1.12/1.26 [14]~E(x141,x142)+E(f25(x143,x141,x144),f25(x143,x142,x144))
% 1.12/1.26 [15]~E(x151,x152)+E(f25(x153,x154,x151),f25(x153,x154,x152))
% 1.12/1.26 [16]~E(x161,x162)+E(f38(x161),f38(x162))
% 1.12/1.26 [17]~E(x171,x172)+E(f11(x171),f11(x172))
% 1.12/1.26 [18]~E(x181,x182)+E(f35(x181),f35(x182))
% 1.12/1.26 [19]~E(x191,x192)+E(f33(x191),f33(x192))
% 1.12/1.26 [20]~E(x201,x202)+E(f12(x201,x203),f12(x202,x203))
% 1.12/1.26 [21]~E(x211,x212)+E(f12(x213,x211),f12(x213,x212))
% 1.12/1.26 [22]~E(x221,x222)+E(f24(x221,x223,x224),f24(x222,x223,x224))
% 1.12/1.26 [23]~E(x231,x232)+E(f24(x233,x231,x234),f24(x233,x232,x234))
% 1.12/1.26 [24]~E(x241,x242)+E(f24(x243,x244,x241),f24(x243,x244,x242))
% 1.12/1.26 [25]~E(x251,x252)+E(f19(x251),f19(x252))
% 1.12/1.26 [26]~E(x261,x262)+E(f40(x261),f40(x262))
% 1.12/1.26 [27]~E(x271,x272)+E(f29(x271,x273),f29(x272,x273))
% 1.12/1.26 [28]~E(x281,x282)+E(f29(x283,x281),f29(x283,x282))
% 1.12/1.26 [29]~E(x291,x292)+E(f34(x291,x293,x294),f34(x292,x293,x294))
% 1.12/1.26 [30]~E(x301,x302)+E(f34(x303,x301,x304),f34(x303,x302,x304))
% 1.12/1.26 [31]~E(x311,x312)+E(f34(x313,x314,x311),f34(x313,x314,x312))
% 1.12/1.26 [32]~E(x321,x322)+E(f23(x321,x323),f23(x322,x323))
% 1.12/1.26 [33]~E(x331,x332)+E(f23(x333,x331),f23(x333,x332))
% 1.12/1.26 [34]~E(x341,x342)+E(f21(x341,x343),f21(x342,x343))
% 1.12/1.26 [35]~E(x351,x352)+E(f21(x353,x351),f21(x353,x352))
% 1.12/1.26 [36]~E(x361,x362)+E(f18(x361),f18(x362))
% 1.12/1.26 [37]~E(x371,x372)+E(f39(x371),f39(x372))
% 1.12/1.26 [38]~E(x381,x382)+E(f36(x381),f36(x382))
% 1.12/1.26 [39]~E(x391,x392)+E(f30(x391,x393),f30(x392,x393))
% 1.12/1.26 [40]~E(x401,x402)+E(f30(x403,x401),f30(x403,x402))
% 1.12/1.26 [41]~E(x411,x412)+E(f26(x411,x413),f26(x412,x413))
% 1.12/1.26 [42]~E(x421,x422)+E(f26(x423,x421),f26(x423,x422))
% 1.12/1.26 [43]~E(x431,x432)+E(f5(x431),f5(x432))
% 1.12/1.26 [44]~P1(x441)+P1(x442)+~E(x441,x442)
% 1.12/1.26 [45]~P2(x451)+P2(x452)+~E(x451,x452)
% 1.12/1.26 [46]P7(x462,x463)+~E(x461,x462)+~P7(x461,x463)
% 1.12/1.26 [47]P7(x473,x472)+~E(x471,x472)+~P7(x473,x471)
% 1.12/1.26 [48]P10(x482,x483)+~E(x481,x482)+~P10(x481,x483)
% 1.12/1.26 [49]P10(x493,x492)+~E(x491,x492)+~P10(x493,x491)
% 1.12/1.26 [50]~P11(x501)+P11(x502)+~E(x501,x502)
% 1.12/1.26 [51]P9(x512,x513)+~E(x511,x512)+~P9(x511,x513)
% 1.12/1.26 [52]P9(x523,x522)+~E(x521,x522)+~P9(x523,x521)
% 1.12/1.26 [53]P6(x532,x533,x534)+~E(x531,x532)+~P6(x531,x533,x534)
% 1.12/1.26 [54]P6(x543,x542,x544)+~E(x541,x542)+~P6(x543,x541,x544)
% 1.12/1.26 [55]P6(x553,x554,x552)+~E(x551,x552)+~P6(x553,x554,x551)
% 1.12/1.26 [56]P4(x562,x563,x564)+~E(x561,x562)+~P4(x561,x563,x564)
% 1.12/1.26 [57]P4(x573,x572,x574)+~E(x571,x572)+~P4(x573,x571,x574)
% 1.12/1.26 [58]P4(x583,x584,x582)+~E(x581,x582)+~P4(x583,x584,x581)
% 1.12/1.26 [59]P13(x592,x593,x594)+~E(x591,x592)+~P13(x591,x593,x594)
% 1.12/1.26 [60]P13(x603,x602,x604)+~E(x601,x602)+~P13(x603,x601,x604)
% 1.12/1.26 [61]P13(x613,x614,x612)+~E(x611,x612)+~P13(x613,x614,x611)
% 1.12/1.26 [62]P16(x622,x623)+~E(x621,x622)+~P16(x621,x623)
% 1.12/1.26 [63]P16(x633,x632)+~E(x631,x632)+~P16(x633,x631)
% 1.12/1.26 [64]P3(x642,x643)+~E(x641,x642)+~P3(x641,x643)
% 1.12/1.26 [65]P3(x653,x652)+~E(x651,x652)+~P3(x653,x651)
% 1.12/1.26 [66]~P14(x661)+P14(x662)+~E(x661,x662)
% 1.12/1.26 [67]~P12(x671)+P12(x672)+~E(x671,x672)
% 1.12/1.26 [68]P15(x682,x683)+~E(x681,x682)+~P15(x681,x683)
% 1.12/1.26 [69]P15(x693,x692)+~E(x691,x692)+~P15(x693,x691)
% 1.12/1.26 [70]P8(x702,x703,x704)+~E(x701,x702)+~P8(x701,x703,x704)
% 1.12/1.26 [71]P8(x713,x712,x714)+~E(x711,x712)+~P8(x713,x711,x714)
% 1.12/1.26 [72]P8(x723,x724,x722)+~E(x721,x722)+~P8(x723,x724,x721)
% 1.12/1.26 [73]P5(x732,x733)+~E(x731,x732)+~P5(x731,x733)
% 1.12/1.26 [74]P5(x743,x742)+~E(x741,x742)+~P5(x743,x741)
% 1.12/1.26
% 1.12/1.26 %-------------------------------------------
% 1.12/1.26 cnf(219,plain,
% 1.12/1.26 (~E(a28,f7(f8(f7(f44(a22,a22)),f7(f15(f15(f17(f10(f8(a31,f10(a28,a27)),a27))))))))),
% 1.12/1.26 inference(scs_inference,[],[78,103,80,99,2,47,3])).
% 1.12/1.26 cnf(220,plain,
% 1.12/1.26 (P7(a43,a27)),
% 1.12/1.26 inference(scs_inference,[],[78,79,103,80,99,2,47,3,127])).
% 1.12/1.26 cnf(221,plain,
% 1.12/1.26 (P10(x2211,a27)),
% 1.12/1.26 inference(rename_variables,[],[79])).
% 1.12/1.26 cnf(224,plain,
% 1.12/1.26 (P10(x2241,a27)),
% 1.12/1.26 inference(rename_variables,[],[79])).
% 1.12/1.26 cnf(230,plain,
% 1.12/1.26 (P15(a9,a43)),
% 1.12/1.26 inference(scs_inference,[],[78,79,221,224,103,76,80,99,86,2,47,3,127,180,193,115])).
% 1.12/1.26 cnf(246,plain,
% 1.12/1.26 (P10(f15(f8(a9,f10(a27,a43))),a43)),
% 1.12/1.26 inference(scs_inference,[],[78,79,221,224,103,75,76,77,80,99,86,2,47,3,127,180,193,115,111,110,109,108,119,200,194,154])).
% 1.12/1.26 cnf(262,plain,
% 1.12/1.26 (E(f5(f8(f7(a6),a28)),f5(a20))),
% 1.12/1.26 inference(scs_inference,[],[78,79,221,224,103,75,76,77,80,99,86,2,47,3,127,180,193,115,111,110,109,108,119,200,194,154,153,134,133,129,128,124,114,43])).
% 1.12/1.26 cnf(304,plain,
% 1.12/1.26 (~P7(f44(f44(x3041,x3041),f44(x3041,f44(a43,a43))),f10(x3042,a6))),
% 1.12/1.26 inference(scs_inference,[],[78,79,221,224,103,75,76,77,80,99,86,2,47,3,127,180,193,115,111,110,109,108,119,200,194,154,153,134,133,129,128,124,114,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158,178])).
% 1.12/1.26 cnf(310,plain,
% 1.12/1.26 (P7(f44(f44(a1,a1),f44(a1,f44(f33(a1),f33(a1)))),a32)),
% 1.12/1.26 inference(scs_inference,[],[78,79,221,224,103,75,76,77,80,99,86,2,47,3,127,180,193,115,111,110,109,108,119,200,194,154,153,134,133,129,128,124,114,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,158,178,179,173,170])).
% 1.12/1.26 cnf(358,plain,
% 1.12/1.26 (P7(f44(x3581,x3582),a27)),
% 1.12/1.26 inference(rename_variables,[],[86])).
% 1.12/1.26 cnf(360,plain,
% 1.12/1.26 (~P10(a28,a20)),
% 1.12/1.26 inference(scs_inference,[],[78,104,84,86,230,219,310,118,205,131,193,127])).
% 1.12/1.26 cnf(362,plain,
% 1.12/1.26 (P7(a43,f7(a20))),
% 1.12/1.26 inference(scs_inference,[],[78,104,84,86,230,219,310,220,118,205,131,193,127,125])).
% 1.12/1.26 cnf(370,plain,
% 1.12/1.26 (~E(f7(f8(f7(f44(a22,a22)),f7(f15(f15(f17(f10(f8(a31,f10(a28,a27)),a27))))))),a28)),
% 1.12/1.26 inference(scs_inference,[],[78,104,84,86,358,76,246,230,219,310,220,118,205,131,193,127,125,196,136,188,2])).
% 1.12/1.26 cnf(373,plain,
% 1.12/1.26 (~P7(a43,f8(f7(a6),a28))),
% 1.12/1.26 inference(scs_inference,[],[78,104,84,79,86,358,76,80,246,230,219,310,220,118,205,131,193,127,125,196,136,188,2,49,47])).
% 1.12/1.26 cnf(427,plain,
% 1.12/1.26 (~P7(a43,f7(a6))),
% 1.12/1.26 inference(scs_inference,[],[103,92,99,370,373,362,78,108,109,127,3,136])).
% 1.12/1.26 cnf(430,plain,
% 1.12/1.26 (~P10(a28,f8(f7(a6),a28))),
% 1.12/1.26 inference(scs_inference,[],[103,92,99,80,360,370,373,362,78,108,109,127,3,136,2,49])).
% 1.12/1.26 cnf(431,plain,
% 1.12/1.26 (~P7(a43,f7(f8(f7(f44(a22,a22)),f7(f15(f15(f17(f10(f8(a31,f10(a28,a27)),a27))))))))),
% 1.12/1.26 inference(scs_inference,[],[103,92,99,80,360,370,373,362,78,108,109,127,3,136,2,49,47])).
% 1.12/1.26 cnf(457,plain,
% 1.12/1.26 (P7(f44(f44(a1,a1),f44(a1,f44(f33(a1),f33(a1)))),f10(a27,a27))),
% 1.12/1.26 inference(scs_inference,[],[84,310,127])).
% 1.12/1.26 cnf(508,plain,
% 1.12/1.26 (~P10(a27,f10(x5081,a6))),
% 1.12/1.26 inference(scs_inference,[],[104,97,86,431,304,220,178,125,108,127])).
% 1.12/1.26 cnf(519,plain,
% 1.12/1.26 (~E(a27,f8(f7(a6),a28))),
% 1.12/1.26 inference(scs_inference,[],[104,97,98,79,86,457,431,430,304,262,362,220,178,125,108,127,109,136,3,2,47,49])).
% 1.12/1.26 cnf(591,plain,
% 1.12/1.26 ($false),
% 1.12/1.26 inference(scs_inference,[],[100,79,508,519,427,220,103,120,4,108,125]),
% 1.12/1.26 ['proof']).
% 1.12/1.26 % SZS output end Proof
% 1.12/1.26 % Total time :0.580000s
%------------------------------------------------------------------------------