%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SET563-6 : 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 : n001.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 14:21:46 EDT 2024
% Result : Unsatisfiable 63.91s 63.97s
% Output : CNFRefutation 63.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET563-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.10/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n001.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
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jun 23 17:13:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 63.91/63.96 %-------------------------------------------
% 63.91/63.96 % File :CSE---1.7
% 63.91/63.96 % Problem :theBenchmark
% 63.91/63.96 % Transform :cnf
% 63.91/63.96 % Format :tptp:raw
% 63.91/63.96 % Command :java -jar mcs_scs.jar %d %s
% 63.91/63.96
% 63.91/63.96 % Result :Theorem 63.340000s
% 63.91/63.96 % Output :CNFRefutation 63.340000s
% 63.91/63.96 %-------------------------------------------
% 63.91/63.97 %--------------------------------------------------------------------------
% 63.91/63.97 % File : SET563-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 63.91/63.97 % Domain : Set Theory
% 63.91/63.97 % Problem : Compatible function property 3
% 63.91/63.97 % Version : [Qua92] axioms.
% 63.91/63.97 % English :
% 63.91/63.97
% 63.91/63.97 % Refs : [BL+86] Boyer et al. (1986), Set Theory in First-Order Logic:
% 63.91/63.97 % : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 63.91/63.97 % Source : [Quaife]
% 63.91/63.97 % Names : CF6 [Qua92]
% 63.91/63.97
% 63.91/63.97 % Status : Unsatisfiable
% 63.91/63.97 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.10 v5.5.0, 0.35 v5.3.0, 0.39 v5.2.0, 0.31 v5.1.0, 0.41 v5.0.0, 0.29 v4.1.0, 0.38 v4.0.1, 0.45 v3.7.0, 0.20 v3.5.0, 0.27 v3.4.0, 0.25 v3.3.0, 0.21 v3.2.0, 0.15 v3.1.0, 0.18 v2.7.0, 0.17 v2.6.0, 0.11 v2.5.0, 0.18 v2.4.0, 0.00 v2.1.0
% 63.91/63.97 % Syntax : Number of clauses : 115 ( 40 unt; 8 nHn; 82 RR)
% 63.91/63.97 % Number of literals : 221 ( 49 equ; 101 neg)
% 63.91/63.97 % Maximal clause size : 5 ( 1 avg)
% 63.91/63.97 % Maximal term depth : 6 ( 2 avg)
% 63.91/63.97 % Number of predicates : 11 ( 10 usr; 0 prp; 1-3 aty)
% 63.91/63.97 % Number of functors : 51 ( 51 usr; 17 con; 0-3 aty)
% 63.91/63.97 % Number of variables : 214 ( 32 sgn)
% 63.91/63.97 % SPC : CNF_UNS_RFO_SEQ_NHN
% 63.91/63.97
% 63.91/63.97 % Comments : Quaife proves all these problems by augmenting the axioms with
% 63.91/63.97 % all previously proved theorems. With a few exceptions (the
% 63.91/63.97 % problems that correspond to [BL+86] problems), the TPTP has
% 63.91/63.97 % retained the order in which Quaife presents the problems. The
% 63.91/63.97 % user may create an augmented version of this problem by adding
% 63.91/63.97 % all previously proved theorems (the ones that correspond to
% 63.91/63.97 % [BL+86] are easily identified and positioned using Quaife's
% 63.91/63.97 % naming scheme).
% 63.91/63.97 % Bugfixes : v1.0.1 - Bugfix in SET004-1.ax.
% 63.91/63.97 % : v1.2.1 - Fixed prove_compatible_function_property3_3.
% 63.91/63.97 % : v2.1.0 - Bugfix in SET004-0.ax.
% 63.91/63.97 %--------------------------------------------------------------------------
% 63.91/63.97 %----Include von Neuman-Bernays-Godel set theory axioms
% 63.91/63.97 include('Axioms/SET004-0.ax').
% 63.91/63.97 %----Include von Neuman-Bernays-Godel Boolean Algebra definitions
% 63.91/63.97 include('Axioms/SET004-1.ax').
% 63.91/63.97 %--------------------------------------------------------------------------
% 63.91/63.97 cnf(prove_compatible_function_property3_1,negated_conjecture,
% 63.91/63.97 compatible(xh1,xf1,xf2) ).
% 63.91/63.97
% 63.91/63.97 cnf(prove_compatible_function_property3_2,negated_conjecture,
% 63.91/63.97 compatible(xh2,xf2,xf3) ).
% 63.91/63.97
% 63.91/63.97 cnf(prove_compatible_function_property3_3,negated_conjecture,
% 63.91/63.97 ~ subclass(range_of(xh1),domain_of(xh2)) ).
% 63.91/63.97
% 63.91/63.97 %--------------------------------------------------------------------------
% 63.91/63.97 %-------------------------------------------
% 63.91/63.97 % Proof found
% 63.91/63.97 % SZS status Theorem for theBenchmark
% 63.91/63.97 % SZS output start Proof
% 63.91/63.98 %ClaNum:145(EqnAxiom:47)
% 63.91/63.98 %VarNum:892(SingletonVarNum:186)
% 63.91/63.98 %MaxLitNum:5
% 63.91/63.98 %MaxfuncDepth:24
% 63.91/63.98 %SharedTerms:55
% 63.91/63.98 %goalClause: 57 58 70
% 63.91/63.98 %singleGoalClaCount:3
% 63.91/63.98 [48]P1(a1)
% 63.91/63.98 [49]P2(a2)
% 63.91/63.98 [50]P5(a1,a21)
% 63.91/63.98 [57]P3(a30,a31,a32)
% 63.91/63.98 [58]P3(a34,a32,a33)
% 63.91/63.98 [52]P7(a5,f6(a21,a21))
% 63.91/63.98 [53]P7(a22,f6(a21,a21))
% 63.91/63.98 [54]P7(a11,f6(a21,a21))
% 63.91/63.98 [60]P7(a10,f6(a21,f6(a21,a21)))
% 63.91/63.98 [61]P7(a3,f6(a21,f6(a21,a21)))
% 63.91/63.98 [62]E(f16(f9(f8(a5,f9(a13))),a5),a23)
% 63.91/63.98 [66]E(f16(f12(f14(f6(a28,a21))),a28),a13)
% 63.91/63.98 [70]~P7(f12(f12(f14(f6(a30,a21)))),f12(a34))
% 63.91/63.98 [67]E(f16(f6(a21,a21),f16(f6(a21,a21),f9(f8(f9(a5),f12(f14(f6(a5,a21))))))),a28)
% 63.91/63.98 [51]P7(x511,a21)
% 63.91/63.98 [56]P7(f7(x561),f6(a21,a21))
% 63.91/63.98 [64]P7(f24(x641),f6(f6(a21,a21),a21))
% 63.91/63.98 [65]P7(f14(x651),f6(f6(a21,a21),a21))
% 63.91/63.98 [68]E(f16(f12(x681),f9(f12(f16(f8(f12(f14(f6(a5,a21))),x681),a13)))),f4(x681))
% 63.91/63.98 [69]E(f15(f17(f16(x691,f6(f12(f12(f14(f6(f16(f12(f14(f6(x691,a21))),f6(f29(f15(f17(f8(x691,f12(f14(f6(x691,a21)))),a13)),f15(f17(f8(x691,f12(f14(f6(x691,a21)))),a13))),a21)),a21)))),f29(f26(f17(f8(x691,f12(f14(f6(x691,a21)))),a13)),f26(f17(f8(x691,f12(f14(f6(x691,a21)))),a13))))),a20)),f27(x691))
% 63.91/63.98 [55]P5(f29(x551,x552),a21)
% 63.91/63.98 [59]P7(f8(x591,x592),f6(a21,a21))
% 63.91/63.98 [63]E(f16(f6(x631,x632),x633),f16(x633,f6(x631,x632)))
% 63.91/63.98 [71]~P8(x711)+P2(x711)
% 63.91/63.98 [72]~P9(x721)+P2(x721)
% 63.91/63.98 [75]~P1(x751)+P7(a1,x751)
% 63.91/63.98 [76]~P1(x761)+P5(a20,x761)
% 63.91/63.98 [78]P5(f25(x781),x781)+E(x781,a20)
% 63.91/63.98 [79]~P2(x791)+P7(x791,f6(a21,a21))
% 63.91/63.98 [77]E(x771,a20)+E(f16(x771,f25(x771)),a20)
% 63.91/63.98 [87]~P9(x871)+E(f6(f12(f12(x871)),f12(f12(x871))),f12(x871))
% 63.91/63.98 [99]~P8(x991)+P2(f12(f14(f6(x991,a21))))
% 63.91/63.98 [103]~P5(x1031,a21)+P5(f12(f16(a5,f6(a21,x1031))),a21)
% 63.91/63.98 [105]~P10(x1051)+P7(f8(x1051,f12(f14(f6(x1051,a21)))),a13)
% 63.91/63.98 [106]~P2(x1061)+P7(f8(x1061,f12(f14(f6(x1061,a21)))),a13)
% 63.91/63.98 [107]~P9(x1071)+P7(f12(f12(f14(f6(x1071,a21)))),f12(f12(x1071)))
% 63.91/63.98 [112]~P5(x1121,a21)+P5(f29(f29(x1121,x1121),f29(x1121,f29(f12(x1121),f12(x1121)))),a11)
% 63.91/63.98 [115]P10(x1151)+~P7(f8(x1151,f12(f14(f6(x1151,a21)))),a13)
% 63.91/63.98 [127]~P1(x1271)+P7(f12(f12(f14(f6(f16(a22,f6(x1271,a21)),a21)))),x1271)
% 63.91/63.98 [131]~P5(x1311,a21)+P5(f9(f12(f12(f14(f6(f16(a5,f6(f9(x1311),a21)),a21))))),a21)
% 63.91/63.98 [73]~E(x732,x731)+P7(x731,x732)
% 63.91/63.98 [74]~E(x741,x742)+P7(x741,x742)
% 63.91/63.98 [81]P7(x811,x812)+P5(f17(x811,x812),x811)
% 63.91/63.98 [82]~P5(x821,x822)+~P5(x821,f9(x822))
% 63.91/63.98 [85]~P5(x851,a21)+P5(x851,f29(x852,x851))
% 63.91/63.98 [86]~P5(x861,a21)+P5(x861,f29(x861,x862))
% 63.91/63.98 [91]P7(x911,x912)+~P5(f17(x911,x912),x912)
% 63.91/63.98 [102]~P5(x1022,f12(x1021))+~E(f16(x1021,f6(f29(x1022,x1022),a21)),a20)
% 63.91/63.98 [113]E(f12(x1131),x1132)+~P5(f29(f29(x1131,x1131),f29(x1131,f29(x1132,x1132))),a11)
% 63.91/63.98 [114]P5(x1141,x1142)+~P5(f29(f29(x1141,x1141),f29(x1141,f29(x1142,x1142))),a5)
% 63.91/63.98 [123]~P5(f29(f29(x1231,x1231),f29(x1231,f29(x1232,x1232))),a22)+E(f9(f16(f9(x1231),f9(f29(x1231,x1231)))),x1232)
% 63.91/63.98 [136]~P5(f29(f29(x1361,x1361),f29(x1361,f29(x1362,x1362))),f6(a21,a21))+P5(f29(f29(x1361,x1361),f29(x1361,f29(f29(f29(x1362,x1362),f29(x1362,f29(f8(x1361,x1362),f8(x1361,x1362)))),f29(f29(x1362,x1362),f29(x1362,f29(f8(x1361,x1362),f8(x1361,x1362))))))),a10)
% 63.91/63.98 [93]P2(x931)+~P3(x931,x932,x933)
% 63.91/63.98 [94]P2(x941)+~P6(x941,x942,x943)
% 63.91/63.98 [95]P9(x951)+~P4(x952,x953,x951)
% 63.91/63.98 [96]P9(x961)+~P4(x962,x961,x963)
% 63.91/63.98 [101]~P4(x1011,x1012,x1013)+P3(x1011,x1012,x1013)
% 63.91/63.98 [89]P5(x891,x892)+~P5(x891,f16(x893,x892))
% 63.91/63.98 [90]P5(x901,x902)+~P5(x901,f16(x902,x903))
% 63.91/63.98 [97]~P6(x971,x972,x973)+E(f12(x971),x972)
% 63.91/63.98 [98]~P3(x982,x981,x983)+E(f12(f12(x981)),f12(x982))
% 63.91/63.98 [116]E(f8(x1161,x1162),x1163)+~P5(f29(f29(x1162,x1162),f29(x1162,f29(x1163,x1163))),f7(x1161))
% 63.91/63.98 [108]~P5(x1081,f6(x1082,x1083))+E(f29(f29(f15(x1081),f15(x1081)),f29(f15(x1081),f29(f26(x1081),f26(x1081)))),x1081)
% 63.91/63.98 [110]~P6(x1101,x1103,x1102)+P7(f12(f12(f14(f6(x1101,a21)))),x1102)
% 63.91/63.98 [111]~P3(x1111,x1113,x1112)+P7(f12(f12(f14(f6(x1111,a21)))),f12(f12(x1112)))
% 63.91/63.98 [132]E(f8(x1321,x1322),x1323)+~P5(f29(f29(x1321,x1321),f29(x1321,f29(f29(f29(x1322,x1322),f29(x1322,f29(x1323,x1323))),f29(f29(x1322,x1322),f29(x1322,f29(x1323,x1323)))))),a10)
% 63.91/63.98 [133]P5(x1331,f12(x1332))+~P5(f29(f29(x1332,x1332),f29(x1332,f29(f29(f29(x1331,x1331),f29(x1331,f29(x1333,x1333))),f29(f29(x1331,x1331),f29(x1331,f29(x1333,x1333)))))),a3)
% 63.91/63.98 [139]~P5(f29(f29(x1391,x1391),f29(x1391,f29(f29(f29(x1392,x1392),f29(x1392,f29(x1393,x1393))),f29(f29(x1392,x1392),f29(x1392,f29(x1393,x1393)))))),a3)+E(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1391,f6(f29(x1392,x1392),a21)),a21))))))),x1393)
% 63.91/63.98 [117]P5(x1171,x1172)+~P5(f29(f29(x1173,x1173),f29(x1173,f29(x1171,x1171))),f6(x1174,x1172))
% 63.91/63.98 [118]P5(x1181,x1182)+~P5(f29(f29(x1181,x1181),f29(x1181,f29(x1183,x1183))),f6(x1182,x1184))
% 63.91/63.98 [134]~P5(f29(f29(f29(f29(x1343,x1343),f29(x1343,f29(x1341,x1341))),f29(f29(x1343,x1343),f29(x1343,f29(x1341,x1341)))),f29(f29(f29(x1343,x1343),f29(x1343,f29(x1341,x1341))),f29(x1342,x1342))),f24(x1344))+P5(f29(f29(f29(f29(x1341,x1341),f29(x1341,f29(x1342,x1342))),f29(f29(x1341,x1341),f29(x1341,f29(x1342,x1342)))),f29(f29(f29(x1341,x1341),f29(x1341,f29(x1342,x1342))),f29(x1343,x1343))),x1344)
% 63.91/63.98 [135]~P5(f29(f29(f29(f29(x1352,x1352),f29(x1352,f29(x1351,x1351))),f29(f29(x1352,x1352),f29(x1352,f29(x1351,x1351)))),f29(f29(f29(x1352,x1352),f29(x1352,f29(x1351,x1351))),f29(x1353,x1353))),f14(x1354))+P5(f29(f29(f29(f29(x1351,x1351),f29(x1351,f29(x1352,x1352))),f29(f29(x1351,x1351),f29(x1351,f29(x1352,x1352)))),f29(f29(f29(x1351,x1351),f29(x1351,f29(x1352,x1352))),f29(x1353,x1353))),x1354)
% 63.91/63.98 [141]~P5(f29(f29(x1414,x1414),f29(x1414,f29(x1411,x1411))),f8(x1412,x1413))+P5(x1411,f12(f12(f14(f6(f16(x1412,f6(f12(f12(f14(f6(f16(x1413,f6(f29(x1414,x1414),a21)),a21)))),a21)),a21)))))
% 63.91/63.98 [104]~P2(x1041)+P8(x1041)+~P2(f12(f14(f6(x1041,a21))))
% 63.91/63.98 [120]P2(x1201)+~P7(x1201,f6(a21,a21))+~P7(f8(x1201,f12(f14(f6(x1201,a21)))),a13)
% 63.91/63.98 [129]P1(x1291)+~P5(a20,x1291)+~P7(f12(f12(f14(f6(f16(a22,f6(x1291,a21)),a21)))),x1291)
% 63.91/63.98 [140]~P5(x1401,a21)+E(x1401,a20)+P5(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(a2,f6(f29(x1401,x1401),a21)),a21))))))),x1401)
% 63.91/63.98 [80]~P7(x802,x801)+~P7(x801,x802)+E(x801,x802)
% 63.91/63.98 [83]P5(x831,x832)+P5(x831,f9(x832))+~P5(x831,a21)
% 63.91/63.98 [100]P5(x1002,f12(x1001))+~P5(x1002,a21)+E(f16(x1001,f6(f29(x1002,x1002),a21)),a20)
% 63.91/63.98 [124]~P5(x1241,x1242)+~P5(f29(f29(x1241,x1241),f29(x1241,f29(x1242,x1242))),f6(a21,a21))+P5(f29(f29(x1241,x1241),f29(x1241,f29(x1242,x1242))),a5)
% 63.91/63.98 [119]~P2(x1191)+P6(x1191,f12(x1191),x1192)+~P7(f12(f12(f14(f6(x1191,a21)))),x1192)
% 63.91/63.98 [126]~P5(f29(f29(x1261,x1261),f29(x1261,f29(x1262,x1262))),f6(a21,a21))+~E(f9(f16(f9(x1261),f9(f29(x1261,x1261)))),x1262)+P5(f29(f29(x1261,x1261),f29(x1261,f29(x1262,x1262))),a22)
% 63.91/63.98 [128]~P2(x1281)+~P5(x1282,a21)+P5(f12(f12(f14(f6(f16(x1281,f6(x1282,a21)),a21)))),a21)
% 63.91/63.98 [84]~P5(x841,x843)+P5(x841,x842)+~P7(x843,x842)
% 63.91/63.98 [88]E(x881,x882)+E(x881,x883)+~P5(x881,f29(x883,x882))
% 63.91/63.98 [92]~P5(x921,x923)+~P5(x921,x922)+P5(x921,f16(x922,x923))
% 63.91/63.98 [125]~E(f8(x1253,x1251),x1252)+P5(f29(f29(x1251,x1251),f29(x1251,f29(x1252,x1252))),f7(x1253))+~P5(f29(f29(x1251,x1251),f29(x1251,f29(x1252,x1252))),f6(a21,a21))
% 63.91/63.98 [143]~P5(x1432,f12(x1431))+~P5(f29(f29(x1431,x1431),f29(x1431,f29(f29(f29(x1432,x1432),f29(x1432,f29(x1433,x1433))),f29(f29(x1432,x1432),f29(x1432,f29(x1433,x1433)))))),f6(a21,f6(a21,a21)))+P5(f29(f29(x1431,x1431),f29(x1431,f29(f29(f29(x1432,x1432),f29(x1432,f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1431,f6(f29(x1432,x1432),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1431,f6(f29(x1432,x1432),a21)),a21)))))))))),f29(f29(x1432,x1432),f29(x1432,f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1431,f6(f29(x1432,x1432),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1431,f6(f29(x1432,x1432),a21)),a21))))))))))))),a3)
% 63.91/63.98 [109]~P5(x1092,x1094)+~P5(x1091,x1093)+P5(f29(f29(x1091,x1091),f29(x1091,f29(x1092,x1092))),f6(x1093,x1094))
% 63.91/63.98 [137]~P5(f29(f29(f29(f29(x1372,x1372),f29(x1372,f29(x1373,x1373))),f29(f29(x1372,x1372),f29(x1372,f29(x1373,x1373)))),f29(f29(f29(x1372,x1372),f29(x1372,f29(x1373,x1373))),f29(x1371,x1371))),x1374)+P5(f29(f29(f29(f29(x1371,x1371),f29(x1371,f29(x1372,x1372))),f29(f29(x1371,x1371),f29(x1371,f29(x1372,x1372)))),f29(f29(f29(x1371,x1371),f29(x1371,f29(x1372,x1372))),f29(x1373,x1373))),f24(x1374))+~P5(f29(f29(f29(f29(x1371,x1371),f29(x1371,f29(x1372,x1372))),f29(f29(x1371,x1371),f29(x1371,f29(x1372,x1372)))),f29(f29(f29(x1371,x1371),f29(x1371,f29(x1372,x1372))),f29(x1373,x1373))),f6(f6(a21,a21),a21))
% 63.91/63.98 [138]~P5(f29(f29(f29(f29(x1382,x1382),f29(x1382,f29(x1381,x1381))),f29(f29(x1382,x1382),f29(x1382,f29(x1381,x1381)))),f29(f29(f29(x1382,x1382),f29(x1382,f29(x1381,x1381))),f29(x1383,x1383))),x1384)+P5(f29(f29(f29(f29(x1381,x1381),f29(x1381,f29(x1382,x1382))),f29(f29(x1381,x1381),f29(x1381,f29(x1382,x1382)))),f29(f29(f29(x1381,x1381),f29(x1381,f29(x1382,x1382))),f29(x1383,x1383))),f14(x1384))+~P5(f29(f29(f29(f29(x1381,x1381),f29(x1381,f29(x1382,x1382))),f29(f29(x1381,x1381),f29(x1381,f29(x1382,x1382)))),f29(f29(f29(x1381,x1381),f29(x1381,f29(x1382,x1382))),f29(x1383,x1383))),f6(f6(a21,a21),a21))
% 63.91/63.98 [142]P5(f29(f29(x1421,x1421),f29(x1421,f29(x1422,x1422))),f8(x1423,x1424))+~P5(f29(f29(x1421,x1421),f29(x1421,f29(x1422,x1422))),f6(a21,a21))+~P5(x1422,f12(f12(f14(f6(f16(x1423,f6(f12(f12(f14(f6(f16(x1424,f6(f29(x1421,x1421),a21)),a21)))),a21)),a21)))))
% 63.91/63.98 [144]~P4(x1442,x1445,x1441)+~P5(f29(f29(x1443,x1443),f29(x1443,f29(x1444,x1444))),f12(x1445))+E(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1441,f6(f29(f29(f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1442,f6(f29(x1443,x1443),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1442,f6(f29(x1443,x1443),a21)),a21)))))))),f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1442,f6(f29(x1443,x1443),a21)),a21))))))),f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1442,f6(f29(x1444,x1444),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1442,f6(f29(x1444,x1444),a21)),a21)))))))))),f29(f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1442,f6(f29(x1443,x1443),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1442,f6(f29(x1443,x1443),a21)),a21)))))))),f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1442,f6(f29(x1443,x1443),a21)),a21))))))),f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1442,f6(f29(x1444,x1444),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1442,f6(f29(x1444,x1444),a21)),a21))))))))))),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1442,f6(f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1445,f6(f29(f29(f29(x1443,x1443),f29(x1443,f29(x1444,x1444))),f29(f29(x1443,x1443),f29(x1443,f29(x1444,x1444)))),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1445,f6(f29(f29(f29(x1443,x1443),f29(x1443,f29(x1444,x1444))),f29(f29(x1443,x1443),f29(x1443,f29(x1444,x1444)))),a21)),a21)))))))),a21)),a21))))))))
% 63.91/63.98 [122]~P2(x1221)+P9(x1221)+~E(f6(f12(f12(x1221)),f12(f12(x1221))),f12(x1221))+~P7(f12(f12(f14(f6(x1221,a21)))),f12(f12(x1221)))
% 63.91/63.98 [121]~P2(x1211)+P3(x1211,x1212,x1213)+~E(f12(f12(x1212)),f12(x1211))+~P7(f12(f12(f14(f6(x1211,a21)))),f12(f12(x1213)))
% 63.91/63.98 [130]~P9(x1303)+~P9(x1302)+~P3(x1301,x1302,x1303)+P4(x1301,x1302,x1303)+P5(f29(f29(f18(x1301,x1302,x1303),f18(x1301,x1302,x1303)),f29(f18(x1301,x1302,x1303),f29(f19(x1301,x1302,x1303),f19(x1301,x1302,x1303)))),f12(x1302))
% 63.91/63.98 [145]~P9(x1453)+~P9(x1452)+~P3(x1451,x1452,x1453)+P4(x1451,x1452,x1453)+~E(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1453,f6(f29(f29(f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1451,f6(f29(f18(x1451,x1452,x1453),f18(x1451,x1452,x1453)),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1451,f6(f29(f18(x1451,x1452,x1453),f18(x1451,x1452,x1453)),a21)),a21)))))))),f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1451,f6(f29(f18(x1451,x1452,x1453),f18(x1451,x1452,x1453)),a21)),a21))))))),f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1451,f6(f29(f19(x1451,x1452,x1453),f19(x1451,x1452,x1453)),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1451,f6(f29(f19(x1451,x1452,x1453),f19(x1451,x1452,x1453)),a21)),a21)))))))))),f29(f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1451,f6(f29(f18(x1451,x1452,x1453),f18(x1451,x1452,x1453)),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1451,f6(f29(f18(x1451,x1452,x1453),f18(x1451,x1452,x1453)),a21)),a21)))))))),f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1451,f6(f29(f18(x1451,x1452,x1453),f18(x1451,x1452,x1453)),a21)),a21))))))),f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1451,f6(f29(f19(x1451,x1452,x1453),f19(x1451,x1452,x1453)),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1451,f6(f29(f19(x1451,x1452,x1453),f19(x1451,x1452,x1453)),a21)),a21))))))))))),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1451,f6(f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1452,f6(f29(f29(f29(f18(x1451,x1452,x1453),f18(x1451,x1452,x1453)),f29(f18(x1451,x1452,x1453),f29(f19(x1451,x1452,x1453),f19(x1451,x1452,x1453)))),f29(f29(f18(x1451,x1452,x1453),f18(x1451,x1452,x1453)),f29(f18(x1451,x1452,x1453),f29(f19(x1451,x1452,x1453),f19(x1451,x1452,x1453))))),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1452,f6(f29(f29(f29(f18(x1451,x1452,x1453),f18(x1451,x1452,x1453)),f29(f18(x1451,x1452,x1453),f29(f19(x1451,x1452,x1453),f19(x1451,x1452,x1453)))),f29(f29(f18(x1451,x1452,x1453),f18(x1451,x1452,x1453)),f29(f18(x1451,x1452,x1453),f29(f19(x1451,x1452,x1453),f19(x1451,x1452,x1453))))),a21)),a21)))))))),a21)),a21))))))))
% 63.91/63.98 %EqnAxiom
% 63.91/63.98 [1]E(x11,x11)
% 63.91/63.98 [2]E(x22,x21)+~E(x21,x22)
% 63.91/63.98 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 63.91/63.98 [4]~E(x41,x42)+E(f6(x41,x43),f6(x42,x43))
% 63.91/63.98 [5]~E(x51,x52)+E(f6(x53,x51),f6(x53,x52))
% 63.91/63.98 [6]~E(x61,x62)+E(f12(x61),f12(x62))
% 63.91/63.98 [7]~E(x71,x72)+E(f16(x71,x73),f16(x72,x73))
% 63.91/63.98 [8]~E(x81,x82)+E(f16(x83,x81),f16(x83,x82))
% 63.91/63.98 [9]~E(x91,x92)+E(f29(x91,x93),f29(x92,x93))
% 63.91/63.98 [10]~E(x101,x102)+E(f29(x103,x101),f29(x103,x102))
% 63.91/63.98 [11]~E(x111,x112)+E(f7(x111),f7(x112))
% 63.91/63.98 [12]~E(x121,x122)+E(f8(x121,x123),f8(x122,x123))
% 63.91/63.98 [13]~E(x131,x132)+E(f8(x133,x131),f8(x133,x132))
% 63.91/63.98 [14]~E(x141,x142)+E(f14(x141),f14(x142))
% 63.91/63.98 [15]~E(x151,x152)+E(f19(x151,x153,x154),f19(x152,x153,x154))
% 63.91/63.98 [16]~E(x161,x162)+E(f19(x163,x161,x164),f19(x163,x162,x164))
% 63.91/63.98 [17]~E(x171,x172)+E(f19(x173,x174,x171),f19(x173,x174,x172))
% 63.91/63.98 [18]~E(x181,x182)+E(f26(x181),f26(x182))
% 63.91/63.98 [19]~E(x191,x192)+E(f18(x191,x193,x194),f18(x192,x193,x194))
% 63.91/63.98 [20]~E(x201,x202)+E(f18(x203,x201,x204),f18(x203,x202,x204))
% 63.91/63.98 [21]~E(x211,x212)+E(f18(x213,x214,x211),f18(x213,x214,x212))
% 63.91/63.98 [22]~E(x221,x222)+E(f27(x221),f27(x222))
% 63.91/63.98 [23]~E(x231,x232)+E(f15(x231),f15(x232))
% 63.91/63.98 [24]~E(x241,x242)+E(f9(x241),f9(x242))
% 63.91/63.98 [25]~E(x251,x252)+E(f24(x251),f24(x252))
% 63.91/63.98 [26]~E(x261,x262)+E(f25(x261),f25(x262))
% 63.91/63.98 [27]~E(x271,x272)+E(f17(x271,x273),f17(x272,x273))
% 63.91/63.98 [28]~E(x281,x282)+E(f17(x283,x281),f17(x283,x282))
% 63.91/63.98 [29]~E(x291,x292)+E(f4(x291),f4(x292))
% 63.91/63.98 [30]~P1(x301)+P1(x302)+~E(x301,x302)
% 63.91/63.98 [31]~P2(x311)+P2(x312)+~E(x311,x312)
% 63.91/63.98 [32]P5(x322,x323)+~E(x321,x322)+~P5(x321,x323)
% 63.91/63.98 [33]P5(x333,x332)+~E(x331,x332)+~P5(x333,x331)
% 63.91/63.98 [34]P7(x342,x343)+~E(x341,x342)+~P7(x341,x343)
% 63.91/63.98 [35]P7(x353,x352)+~E(x351,x352)+~P7(x353,x351)
% 63.91/63.98 [36]P3(x362,x363,x364)+~E(x361,x362)+~P3(x361,x363,x364)
% 63.91/63.98 [37]P3(x373,x372,x374)+~E(x371,x372)+~P3(x373,x371,x374)
% 63.91/63.98 [38]P3(x383,x384,x382)+~E(x381,x382)+~P3(x383,x384,x381)
% 63.91/63.98 [39]~P8(x391)+P8(x392)+~E(x391,x392)
% 63.91/63.98 [40]P4(x402,x403,x404)+~E(x401,x402)+~P4(x401,x403,x404)
% 63.91/63.98 [41]P4(x413,x412,x414)+~E(x411,x412)+~P4(x413,x411,x414)
% 63.91/63.98 [42]P4(x423,x424,x422)+~E(x421,x422)+~P4(x423,x424,x421)
% 63.91/63.98 [43]~P9(x431)+P9(x432)+~E(x431,x432)
% 63.91/63.98 [44]P6(x442,x443,x444)+~E(x441,x442)+~P6(x441,x443,x444)
% 63.91/63.98 [45]P6(x453,x452,x454)+~E(x451,x452)+~P6(x453,x451,x454)
% 63.91/63.98 [46]P6(x463,x464,x462)+~E(x461,x462)+~P6(x463,x464,x461)
% 63.91/63.98 [47]~P10(x471)+P10(x472)+~E(x471,x472)
% 63.91/63.98
% 63.91/63.98 %-------------------------------------------
% 63.91/63.99 cnf(146,plain,
% 63.91/63.99 (P7(x1461,x1461)),
% 63.91/63.99 inference(equality_inference,[],[73])).
% 63.91/63.99 cnf(149,plain,
% 63.91/63.99 (P5(f29(f29(x1492,x1492),f29(x1492,f29(f8(x1491,x1492),f8(x1491,x1492)))),f7(x1491))+~P5(f29(f29(x1492,x1492),f29(x1492,f29(f8(x1491,x1492),f8(x1491,x1492)))),f6(a21,a21))),
% 63.91/63.99 inference(equality_inference,[],[125])).
% 63.91/63.99 cnf(153,plain,
% 63.91/63.99 (~E(f12(f12(f14(f6(a30,a21)))),f12(a34))),
% 63.91/63.99 inference(scs_inference,[],[70,73,74])).
% 63.91/63.99 cnf(157,plain,
% 63.91/63.99 (~P6(a30,x1571,f12(a34))),
% 63.91/63.99 inference(scs_inference,[],[70,73,74,98,110])).
% 63.91/63.99 cnf(165,plain,
% 63.91/63.99 (~E(a21,f12(a34))),
% 63.91/63.99 inference(scs_inference,[],[70,51,63,73,74,98,110,101,2,6,97,35])).
% 63.91/63.99 cnf(167,plain,
% 63.91/63.99 (~E(a32,f14(f6(a30,a21)))),
% 63.91/63.99 inference(scs_inference,[],[58,70,51,63,73,74,98,110,101,2,6,97,35,37])).
% 63.91/63.99 cnf(171,plain,
% 63.91/63.99 (E(f16(f16(f6(a21,a21),f9(f8(f9(a5),f12(f14(f6(a5,a21)))))),f6(a21,a21)),a28)),
% 63.91/63.99 inference(scs_inference,[],[58,70,146,51,49,63,67,73,74,98,110,101,2,6,97,35,37,119,3])).
% 63.91/63.99 cnf(182,plain,
% 63.91/63.99 (~E(f12(f14(f6(a30,a21))),a34)),
% 63.91/63.99 inference(scs_inference,[],[153,171,97,2,6])).
% 63.91/63.99 cnf(194,plain,
% 63.91/63.99 (E(a28,f16(f6(a21,a21),f16(f6(a21,a21),f9(f8(f9(a5),f12(f14(f6(a5,a21))))))))),
% 63.91/63.99 inference(scs_inference,[],[182,67,97,2])).
% 63.91/63.99 cnf(335,plain,
% 63.91/63.99 (P5(f29(x3351,x3352),x3353)+~E(a21,x3353)),
% 63.91/63.99 inference(scs_inference,[],[194,55,30,33])).
% 63.91/63.99 cnf(351,plain,
% 63.91/63.99 (P5(f29(f29(f29(f29(x3511,x3511),f29(x3511,f29(x3512,x3512))),f29(f29(x3511,x3511),f29(x3511,f29(x3512,x3512)))),f29(f29(f29(x3511,x3511),f29(x3511,f29(x3512,x3512))),f29(f29(f29(a1,a1),f29(a1,f29(f8(f29(f29(x3511,x3511),f29(x3511,f29(x3512,x3512))),a1),f8(f29(f29(x3511,x3511),f29(x3511,f29(x3512,x3512))),a1)))),f29(f29(a1,a1),f29(a1,f29(f8(f29(f29(x3511,x3511),f29(x3511,f29(x3512,x3512))),a1),f8(f29(f29(x3511,x3511),f29(x3511,f29(x3512,x3512))),a1))))))),f6(a21,f6(a21,a21)))+~P5(f29(f29(x3511,x3511),f29(x3511,f29(x3512,x3512))),a21)),
% 63.91/63.99 inference(scs_inference,[],[60,55,50,84,33,136,134,135,109])).
% 63.91/63.99 cnf(710,plain,
% 63.91/63.99 (E(f4(x7101),f16(f12(x7101),f9(f12(f16(f8(f12(f14(f6(a5,a21))),x7101),a13)))))),
% 63.91/63.99 inference(scs_inference,[],[68,2])).
% 63.91/63.99 cnf(748,plain,
% 63.91/63.99 (P5(f29(f29(a1,a1),f29(a1,f29(f8(f29(f29(x7481,x7481),f29(x7481,f29(x7482,x7482))),a1),f8(f29(f29(x7481,x7481),f29(x7481,f29(x7482,x7482))),a1)))),f6(a21,a21))),
% 63.91/63.99 inference(scs_inference,[],[55,351,117])).
% 63.91/63.99 cnf(750,plain,
% 63.91/63.99 (P5(f29(f29(a1,a1),f29(a1,f29(f8(f29(f29(x7501,x7501),f29(x7501,f29(x7502,x7502))),a1),f8(f29(f29(x7501,x7501),f29(x7501,f29(x7502,x7502))),a1)))),f7(f29(f29(x7501,x7501),f29(x7501,f29(x7502,x7502)))))),
% 63.91/63.99 inference(scs_inference,[],[55,351,117,149])).
% 63.91/63.99 cnf(764,plain,
% 63.91/63.99 (P5(f8(f29(f29(x7641,x7641),f29(x7641,f29(x7642,x7642))),a1),a21)),
% 63.91/63.99 inference(scs_inference,[],[748,117])).
% 63.91/63.99 cnf(803,plain,
% 63.91/63.99 (P5(f29(f29(a1,a1),f29(a1,f29(f8(f29(f29(x8031,x8031),f29(x8031,f29(x8032,x8032))),a1),f8(f29(f29(x8031,x8031),f29(x8031,f29(x8032,x8032))),a1)))),x8033)+~E(f6(a21,a21),x8033)),
% 63.91/63.99 inference(scs_inference,[],[748,33])).
% 63.91/63.99 cnf(832,plain,
% 63.91/63.99 (P5(f8(f29(f29(x8321,x8321),f29(x8321,f29(x8322,x8322))),a1),x8323)+~E(a21,x8323)),
% 63.91/63.99 inference(scs_inference,[],[764,33])).
% 63.91/63.99 cnf(845,plain,
% 63.91/63.99 (P5(f29(f29(a1,a1),f29(a1,f29(f8(f29(f29(x8451,x8451),f29(x8451,f29(x8452,x8452))),a1),f8(f29(f29(x8451,x8451),f29(x8451,f29(x8452,x8452))),a1)))),x8453)+~E(f7(f29(f29(x8451,x8451),f29(x8451,f29(x8452,x8452)))),x8453)),
% 63.91/63.99 inference(scs_inference,[],[750,33])).
% 63.91/63.99 cnf(958,plain,
% 63.91/63.99 (E(f4(f8(x9581,a28)),f4(f8(x9581,f16(f6(a21,a21),f16(f6(a21,a21),f9(f8(f9(a5),f12(f14(f6(a5,a21))))))))))),
% 63.91/63.99 inference(scs_inference,[],[194,29,13])).
% 63.91/63.99 cnf(959,plain,
% 63.91/63.99 (E(f4(f8(x9591,f16(f6(a21,a21),f16(f6(a21,a21),f9(f8(f9(a5),f12(f14(f6(a5,a21))))))))),f4(f8(x9591,a28)))),
% 63.91/63.99 inference(scs_inference,[],[958,2])).
% 63.91/63.99 cnf(970,plain,
% 63.91/63.99 (E(f16(f12(f8(x9701,a28)),f9(f12(f16(f8(f12(f14(f6(a5,a21))),f8(x9701,a28)),a13)))),f4(f8(x9701,f16(f6(a21,a21),f16(f6(a21,a21),f9(f8(f9(a5),f12(f14(f6(a5,a21))))))))))),
% 63.91/63.99 inference(scs_inference,[],[710,959,3,2])).
% 63.91/63.99 cnf(976,plain,
% 63.91/63.99 (~P5(f29(x9761,x9762),f9(f29(x9763,f29(x9761,x9762))))),
% 63.91/63.99 inference(scs_inference,[],[55,85,82])).
% 63.91/63.99 cnf(978,plain,
% 63.91/63.99 (~P5(f29(x9781,x9782),f9(f29(x9783,f29(x9781,x9782))))),
% 63.91/63.99 inference(rename_variables,[],[976])).
% 63.91/63.99 cnf(980,plain,
% 63.91/63.99 (~P5(f29(x9801,x9802),f9(f29(x9803,f29(x9801,x9802))))),
% 63.91/63.99 inference(rename_variables,[],[976])).
% 63.91/63.99 cnf(983,plain,
% 63.91/63.99 (~P5(f29(x9831,x9832),f9(f29(x9833,f29(x9831,x9832))))),
% 63.91/63.99 inference(rename_variables,[],[976])).
% 63.91/63.99 cnf(984,plain,
% 63.91/63.99 (~P5(f29(f29(f29(f29(x9841,x9841),f29(x9841,f29(x9842,x9842))),f29(f29(x9841,x9841),f29(x9841,f29(x9842,x9842)))),f29(f29(f29(x9841,x9841),f29(x9841,f29(x9842,x9842))),f29(x9843,x9843))),f14(f9(f29(x9844,f29(f29(f29(f29(x9842,x9842),f29(x9842,f29(x9841,x9841))),f29(f29(x9842,x9842),f29(x9842,f29(x9841,x9841)))),f29(f29(f29(x9842,x9842),f29(x9842,f29(x9841,x9841))),f29(x9843,x9843)))))))),
% 63.91/63.99 inference(scs_inference,[],[976,978,980,983,845,134,803,135])).
% 63.91/63.99 cnf(985,plain,
% 63.91/63.99 (~P5(f29(x9851,x9852),f9(f29(x9853,f29(x9851,x9852))))),
% 63.91/63.99 inference(rename_variables,[],[976])).
% 63.91/63.99 cnf(988,plain,
% 63.91/63.99 (~P5(f29(x9881,x9882),f9(f29(x9883,f29(x9881,x9882))))),
% 63.91/63.99 inference(rename_variables,[],[976])).
% 63.91/63.99 cnf(992,plain,
% 63.91/63.99 (~E(a21,f9(f29(x9921,f29(x9922,x9923))))),
% 63.91/63.99 inference(scs_inference,[],[710,970,55,976,978,980,983,985,988,845,134,803,135,83,3,33])).
% 63.91/63.99 cnf(994,plain,
% 63.91/63.99 (P5(x9941,f29(x9942,f29(x9943,x9944)))+~E(f29(x9943,x9944),x9941)),
% 63.91/63.99 inference(scs_inference,[],[710,970,55,976,978,980,983,985,988,845,134,803,135,83,3,33,32])).
% 63.91/63.99 cnf(1004,plain,
% 63.91/63.99 (~P5(f29(x10041,x10042),f9(f29(f29(x10041,x10042),x10043)))),
% 63.91/63.99 inference(scs_inference,[],[55,86,82])).
% 63.91/63.99 cnf(1006,plain,
% 63.91/63.99 (~P5(f29(x10061,x10062),f9(f29(f29(x10061,x10062),x10063)))),
% 63.91/63.99 inference(rename_variables,[],[1004])).
% 63.91/63.99 cnf(1009,plain,
% 63.91/63.99 (~P5(f29(x10091,x10092),f9(f29(f29(x10091,x10092),x10093)))),
% 63.91/63.99 inference(rename_variables,[],[1004])).
% 63.91/63.99 cnf(1011,plain,
% 63.91/63.99 (~P5(f29(x10111,x10112),f9(f29(f29(x10111,x10112),x10113)))),
% 63.91/63.99 inference(rename_variables,[],[1004])).
% 63.91/63.99 cnf(1013,plain,
% 63.91/63.99 (~P5(f29(x10131,x10132),f9(f29(f29(x10131,x10132),x10133)))),
% 63.91/63.99 inference(rename_variables,[],[1004])).
% 63.91/63.99 cnf(1015,plain,
% 63.91/63.99 (P5(f29(x10151,x10152),f29(f29(x10151,x10152),x10153))),
% 63.91/63.99 inference(scs_inference,[],[55,1004,1006,1009,1011,1013,134,845,803,135,83])).
% 63.91/63.99 cnf(1016,plain,
% 63.91/63.99 (~P5(f29(x10161,x10162),f9(f29(f29(x10161,x10162),x10163)))),
% 63.91/63.99 inference(rename_variables,[],[1004])).
% 63.91/63.99 cnf(1020,plain,
% 63.91/63.99 (P5(x10201,f29(f29(x10202,x10203),x10204))+~E(f29(x10202,x10203),x10201)),
% 63.91/63.99 inference(scs_inference,[],[55,1004,1006,1009,1011,1013,1016,134,845,803,135,83,33,32])).
% 63.91/63.99 cnf(1043,plain,
% 63.91/63.99 (~P5(f29(f29(f29(f29(x10431,x10431),f29(x10431,f29(x10432,x10432))),f29(f29(x10431,x10431),f29(x10431,f29(x10432,x10432)))),f29(f29(f29(x10431,x10431),f29(x10431,f29(x10432,x10432))),f29(x10433,x10433))),f14(f14(f9(f29(x10434,f29(f29(f29(f29(x10431,x10431),f29(x10431,f29(x10432,x10432))),f29(f29(x10431,x10431),f29(x10431,f29(x10432,x10432)))),f29(f29(f29(x10431,x10431),f29(x10431,f29(x10432,x10432))),f29(x10433,x10433))))))))),
% 63.91/63.99 inference(scs_inference,[],[984,134,135])).
% 63.91/63.99 cnf(1156,plain,
% 63.91/63.99 (~P5(f29(f29(f29(f29(x11561,x11561),f29(x11561,f29(x11562,x11562))),f29(f29(x11561,x11561),f29(x11561,f29(x11562,x11562)))),f29(f29(f29(x11561,x11561),f29(x11561,f29(x11562,x11562))),f29(x11563,x11563))),f24(f14(f14(f9(f29(x11564,f29(f29(f29(f29(x11562,x11562),f29(x11562,f29(x11563,x11563))),f29(f29(x11562,x11562),f29(x11562,f29(x11563,x11563)))),f29(f29(f29(x11562,x11562),f29(x11562,f29(x11563,x11563))),f29(x11561,x11561)))))))))),
% 63.91/63.99 inference(scs_inference,[],[1043,134])).
% 63.91/63.99 cnf(1352,plain,
% 63.91/63.99 (~P5(f29(f29(f29(f29(x13521,x13521),f29(x13521,f29(x13522,x13522))),f29(f29(x13521,x13521),f29(x13521,f29(x13522,x13522)))),f29(f29(f29(x13521,x13521),f29(x13521,f29(x13522,x13522))),f29(x13523,x13523))),f24(f24(f14(f14(f9(f29(x13524,f29(f29(f29(f29(x13523,x13523),f29(x13523,f29(x13521,x13521))),f29(f29(x13523,x13523),f29(x13523,f29(x13521,x13521)))),f29(f29(f29(x13523,x13523),f29(x13523,f29(x13521,x13521))),f29(x13522,x13522))))))))))),
% 63.91/63.99 inference(scs_inference,[],[1156,135,134])).
% 63.91/63.99 cnf(1752,plain,
% 63.91/63.99 (~P5(f29(f29(f29(f29(x17521,x17521),f29(x17521,f29(x17522,x17522))),f29(f29(x17521,x17521),f29(x17521,f29(x17522,x17522)))),f29(f29(f29(x17521,x17521),f29(x17521,f29(x17522,x17522))),f29(x17523,x17523))),f14(f24(f24(f14(f14(f9(f29(x17524,f29(f29(f29(f29(x17523,x17523),f29(x17523,f29(x17522,x17522))),f29(f29(x17523,x17523),f29(x17523,f29(x17522,x17522)))),f29(f29(f29(x17523,x17523),f29(x17523,f29(x17522,x17522))),f29(x17521,x17521)))))))))))),
% 63.91/63.99 inference(scs_inference,[],[1352,135])).
% 63.91/63.99 cnf(2213,plain,
% 63.91/63.99 (~P5(f29(f29(f29(f29(x22131,x22131),f29(x22131,f29(x22132,x22132))),f29(f29(x22131,x22131),f29(x22131,f29(x22132,x22132)))),f29(f29(f29(x22131,x22131),f29(x22131,f29(x22132,x22132))),f29(x22133,x22133))),f24(f14(f24(f24(f14(f14(f9(f29(x22134,f29(f29(f29(f29(x22131,x22131),f29(x22131,f29(x22133,x22133))),f29(f29(x22131,x22131),f29(x22131,f29(x22133,x22133)))),f29(f29(f29(x22131,x22131),f29(x22131,f29(x22133,x22133))),f29(x22132,x22132))))))))))))),
% 63.91/63.99 inference(scs_inference,[],[1752,134])).
% 63.91/63.99 cnf(2687,plain,
% 63.91/63.99 (~P5(f29(f29(f29(f29(x26871,x26871),f29(x26871,f29(x26872,x26872))),f29(f29(x26871,x26871),f29(x26871,f29(x26872,x26872)))),f29(f29(f29(x26871,x26871),f29(x26871,f29(x26872,x26872))),f29(x26873,x26873))),f24(f24(f14(f24(f24(f14(f14(f9(f29(x26874,f29(f29(f29(f29(x26872,x26872),f29(x26872,f29(x26871,x26871))),f29(f29(x26872,x26872),f29(x26872,f29(x26871,x26871)))),f29(f29(f29(x26872,x26872),f29(x26872,f29(x26871,x26871))),f29(x26873,x26873)))))))))))))),
% 63.91/63.99 inference(scs_inference,[],[2213,134])).
% 63.91/63.99 cnf(3325,plain,
% 63.91/63.99 (E(f19(x33251,x33252,a23),f19(x33251,x33252,f16(f9(f8(a5,f9(a13))),a5)))),
% 63.91/63.99 inference(scs_inference,[],[62,17,2])).
% 63.91/63.99 cnf(3326,plain,
% 63.91/63.99 (E(f19(x33261,x33262,f16(f9(f8(a5,f9(a13))),a5)),f19(x33261,x33262,a23))),
% 63.91/63.99 inference(scs_inference,[],[3325,2])).
% 63.91/63.99 cnf(3411,plain,
% 63.91/63.99 (E(f18(f6(f16(f9(f8(a5,f9(a13))),a5),x34111),x34112,x34113),f18(f6(a23,x34111),x34112,x34113))),
% 63.91/63.99 inference(scs_inference,[],[62,19,4])).
% 63.91/63.99 cnf(3412,plain,
% 63.91/63.99 (E(f18(f6(a23,x34121),x34122,x34123),f18(f6(f16(f9(f8(a5,f9(a13))),a5),x34121),x34122,x34123))),
% 63.91/63.99 inference(scs_inference,[],[3411,2])).
% 63.91/63.99 cnf(3749,plain,
% 63.91/63.99 (E(f18(x37491,x37492,f12(f16(f9(f8(a5,f9(a13))),a5))),f18(x37491,x37492,f12(a23)))),
% 63.91/63.99 inference(scs_inference,[],[62,21,6])).
% 63.91/63.99 cnf(3750,plain,
% 63.91/63.99 (E(f18(x37501,x37502,f12(a23)),f18(x37501,x37502,f12(f16(f9(f8(a5,f9(a13))),a5))))),
% 63.91/63.99 inference(scs_inference,[],[3749,2])).
% 63.91/63.99 cnf(3755,plain,
% 63.91/63.99 (E(f18(f6(a23,x37551),x37552,f12(f16(f9(f8(a5,f9(a13))),a5))),f18(f6(f16(f9(f8(a5,f9(a13))),a5),x37551),x37552,f12(a23)))),
% 63.91/63.99 inference(scs_inference,[],[3412,3749,2687,2,134,135,3])).
% 63.91/63.99 cnf(3767,plain,
% 63.91/63.99 (E(f18(f6(f16(f9(f8(a5,f9(a13))),a5),x37671),x37672,f12(a23)),f18(f6(a23,x37671),x37672,f12(f16(f9(f8(a5,f9(a13))),a5))))),
% 63.91/63.99 inference(scs_inference,[],[3755,2])).
% 63.91/63.99 cnf(4534,plain,
% 63.91/63.99 (P5(f12(f16(a5,f6(a21,f29(x45341,x45342)))),a21)),
% 63.91/63.99 inference(scs_inference,[],[764,3326,55,49,79,85,86,11,14,18,22,23,24,25,26,29,4,5,7,8,9,10,12,13,27,28,15,16,17,19,20,21,106,103])).
% 63.91/63.99 cnf(4536,plain,
% 63.91/63.99 (P7(f12(f12(f14(f6(a30,a21)))),f12(f12(a32)))),
% 63.91/63.99 inference(scs_inference,[],[57,764,3326,55,49,79,85,86,11,14,18,22,23,24,25,26,29,4,5,7,8,9,10,12,13,27,28,15,16,17,19,20,21,106,103,111])).
% 63.91/63.99 cnf(4540,plain,
% 63.91/63.99 (P5(a20,a1)),
% 63.91/63.99 inference(scs_inference,[],[57,48,764,3326,55,49,79,85,86,11,14,18,22,23,24,25,26,29,4,5,7,8,9,10,12,13,27,28,15,16,17,19,20,21,106,103,111,127,76])).
% 63.91/63.99 cnf(4546,plain,
% 63.91/63.99 (P5(f17(f12(f12(f14(f6(a30,a21)))),f12(a34)),f12(f12(f14(f6(a30,a21)))))),
% 63.91/63.99 inference(scs_inference,[],[57,48,3750,764,3326,70,55,50,49,79,85,86,11,14,18,22,23,24,25,26,29,4,5,7,8,9,10,12,13,27,28,15,16,17,19,20,21,106,103,111,127,76,74,112,81])).
% 63.91/63.99 cnf(4548,plain,
% 63.91/63.99 (E(f12(f12(a31)),f12(a30))),
% 63.91/63.99 inference(scs_inference,[],[57,48,3750,764,3326,70,55,50,49,79,85,86,11,14,18,22,23,24,25,26,29,4,5,7,8,9,10,12,13,27,28,15,16,17,19,20,21,106,103,111,127,76,74,112,81,98])).
% 63.91/63.99 cnf(4550,plain,
% 63.91/63.99 (~P5(f8(f29(f29(x45501,x45501),f29(x45501,f29(x45502,x45502))),a1),f9(a21))),
% 63.91/64.00 inference(scs_inference,[],[57,48,3750,764,3326,70,55,50,49,79,85,86,11,14,18,22,23,24,25,26,29,4,5,7,8,9,10,12,13,27,28,15,16,17,19,20,21,106,103,111,127,76,74,112,81,98,82])).
% 63.91/64.00 cnf(4552,plain,
% 63.91/64.00 (~P5(f29(x45521,x45522),f16(x45523,f9(f29(f29(x45521,x45522),x45524))))),
% 63.91/64.00 inference(scs_inference,[],[57,48,3750,764,3326,70,1004,55,50,49,79,85,86,11,14,18,22,23,24,25,26,29,4,5,7,8,9,10,12,13,27,28,15,16,17,19,20,21,106,103,111,127,76,74,112,81,98,82,89])).
% 63.91/64.00 cnf(4556,plain,
% 63.91/64.00 (~E(a21,f9(a21))),
% 63.91/64.00 inference(scs_inference,[],[57,48,3767,3750,764,3326,70,1004,55,50,49,79,85,86,11,14,18,22,23,24,25,26,29,4,5,7,8,9,10,12,13,27,28,15,16,17,19,20,21,106,103,111,127,76,74,112,81,98,82,89,73,832])).
% 63.91/64.00 cnf(4565,plain,
% 63.91/64.00 (P2(a30)),
% 63.91/64.00 inference(scs_inference,[],[57,48,182,3767,3750,764,3326,70,1004,55,50,49,79,85,86,11,14,18,22,23,24,25,26,29,4,5,7,8,9,10,12,13,27,28,15,16,17,19,20,21,106,103,111,127,76,74,112,81,98,82,89,73,832,113,90,118,91,93])).
% 63.91/64.00 cnf(4570,plain,
% 63.91/64.00 (~E(f12(a34),a21)),
% 63.91/64.00 inference(scs_inference,[],[57,165,48,182,3767,3750,764,3326,70,1004,55,50,49,79,85,86,11,14,18,22,23,24,25,26,29,4,5,7,8,9,10,12,13,27,28,15,16,17,19,20,21,106,103,111,127,76,74,112,81,98,82,89,73,832,113,90,118,91,93,117,6,2])).
% 63.91/64.00 cnf(4575,plain,
% 63.91/64.00 (P5(f8(f29(f29(x45751,x45751),f29(x45751,f29(x45752,x45752))),a1),f9(f9(a21)))),
% 63.91/64.00 inference(scs_inference,[],[57,165,48,182,1015,3767,3750,764,3326,70,1004,55,50,49,79,85,86,11,14,18,22,23,24,25,26,29,4,5,7,8,9,10,12,13,27,28,15,16,17,19,20,21,106,103,111,127,76,74,112,81,98,82,89,73,832,113,90,118,91,93,117,6,2,128,109,83])).
% 63.91/64.00 cnf(4577,plain,
% 63.91/64.00 (~P5(a21,f29(f12(a34),f12(a34)))),
% 63.91/64.00 inference(scs_inference,[],[57,165,48,182,1015,3767,3750,764,3326,70,1004,55,50,49,79,85,86,11,14,18,22,23,24,25,26,29,4,5,7,8,9,10,12,13,27,28,15,16,17,19,20,21,106,103,111,127,76,74,112,81,98,82,89,73,832,113,90,118,91,93,117,6,2,128,109,83,88])).
% 63.91/64.00 cnf(4581,plain,
% 63.91/64.00 (~P7(a21,f9(a21))),
% 63.91/64.00 inference(scs_inference,[],[57,165,48,182,1015,3767,3750,764,3326,70,1004,55,50,49,79,85,86,11,14,18,22,23,24,25,26,29,4,5,7,8,9,10,12,13,27,28,15,16,17,19,20,21,106,103,111,127,76,74,112,81,98,82,89,73,832,113,90,118,91,93,117,6,2,128,109,83,88,92,84])).
% 63.91/64.00 cnf(4583,plain,
% 63.91/64.00 (~P7(a21,f12(a34))),
% 63.91/64.00 inference(scs_inference,[],[57,165,48,182,1015,3767,3750,764,3326,70,1004,55,50,49,51,79,85,86,11,14,18,22,23,24,25,26,29,4,5,7,8,9,10,12,13,27,28,15,16,17,19,20,21,106,103,111,127,76,74,112,81,98,82,89,73,832,113,90,118,91,93,117,6,2,128,109,83,88,92,84,80])).
% 63.91/64.00 cnf(4588,plain,
% 63.91/64.00 (~E(f9(a21),a21)),
% 63.91/64.00 inference(scs_inference,[],[57,165,48,182,1015,3767,3750,764,3326,70,1004,55,50,49,51,146,79,85,86,11,14,18,22,23,24,25,26,29,4,5,7,8,9,10,12,13,27,28,15,16,17,19,20,21,106,103,111,127,76,74,112,81,98,82,89,73,832,113,90,118,91,93,117,6,2,128,109,83,88,92,84,80,32,34])).
% 63.91/64.00 cnf(4611,plain,
% 63.91/64.00 (~P5(a20,f9(a1))),
% 63.91/64.00 inference(scs_inference,[],[4540,4565,4577,4534,4546,102,106,114,85,82])).
% 63.91/64.00 cnf(4619,plain,
% 63.91/64.00 (E(f18(f12(f12(a31)),x46191,x46192),f18(f12(a30),x46191,x46192))),
% 63.91/64.00 inference(scs_inference,[],[4540,4565,4548,4577,4534,4546,102,106,114,85,82,24,12,7,8,89,19])).
% 63.91/64.00 cnf(4632,plain,
% 63.91/64.00 (P5(f17(a21,f9(a21)),a21)),
% 63.91/64.00 inference(scs_inference,[],[4540,4565,4581,4548,4577,4534,4546,102,106,114,85,82,24,12,7,8,89,19,5,17,74,22,103,79,86,27,81])).
% 63.91/64.00 cnf(4635,plain,
% 63.91/64.00 (E(f18(x46351,f12(f12(a31)),x46352),f18(x46351,f12(a30),x46352))),
% 63.91/64.00 inference(scs_inference,[],[4540,4565,4581,4548,4577,4534,4546,102,106,114,85,82,24,12,7,8,89,19,5,17,74,22,103,79,86,27,81,28,20])).
% 63.91/64.00 cnf(4636,plain,
% 63.91/64.00 (E(f12(f12(a32)),f12(a34))),
% 63.91/64.00 inference(scs_inference,[],[4540,4565,4581,4548,4577,4534,4546,58,102,106,114,85,82,24,12,7,8,89,19,5,17,74,22,103,79,86,27,81,28,20,98])).
% 63.91/64.00 cnf(4657,plain,
% 63.91/64.00 (~P5(f29(f29(a34,a34),f29(a34,f29(a21,a21))),a11)),
% 63.91/64.00 inference(scs_inference,[],[4540,4565,4570,4581,4548,4577,4552,4534,4546,58,102,106,114,85,82,24,12,7,8,89,19,5,17,74,22,103,79,86,27,81,28,20,98,111,73,13,29,9,26,14,21,23,15,11,25,4,118,18,335,113])).
% 63.91/64.00 cnf(4660,plain,
% 63.91/64.00 (E(f29(x46601,f12(f12(a31))),f29(x46601,f12(a30)))),
% 63.91/64.00 inference(scs_inference,[],[4540,4565,4570,4581,4548,4577,4552,4534,4546,58,102,106,114,85,82,24,12,7,8,89,19,5,17,74,22,103,79,86,27,81,28,20,98,111,73,13,29,9,26,14,21,23,15,11,25,4,118,18,335,113,16,10])).
% 63.91/64.00 cnf(4665,plain,
% 63.91/64.00 (~P5(f17(a21,f9(a21)),f9(a21))),
% 63.91/64.00 inference(scs_inference,[],[4540,4565,4570,4581,4548,4577,4552,4534,4546,58,102,106,114,85,82,24,12,7,8,89,19,5,17,74,22,103,79,86,27,81,28,20,98,111,73,13,29,9,26,14,21,23,15,11,25,4,118,18,335,113,16,10,90,117,91])).
% 63.91/64.00 cnf(4667,plain,
% 63.91/64.00 (P2(a34)),
% 63.91/64.00 inference(scs_inference,[],[4540,4565,4570,4581,4548,4577,4552,4534,4546,58,102,106,114,85,82,24,12,7,8,89,19,5,17,74,22,103,79,86,27,81,28,20,98,111,73,13,29,9,26,14,21,23,15,11,25,4,118,18,335,113,16,10,90,117,91,93])).
% 63.91/64.00 cnf(4679,plain,
% 63.91/64.00 (P5(a20,f16(a1,a1))),
% 63.91/64.00 inference(scs_inference,[],[4540,4565,4556,4570,4581,4548,167,4577,4552,4534,4546,153,58,55,102,106,114,85,82,24,12,7,8,89,19,5,17,74,22,103,79,86,27,81,28,20,98,111,73,13,29,9,26,14,21,23,15,11,25,4,118,18,335,113,16,10,90,117,91,93,6,2,83,109,88,3,92])).
% 63.91/64.00 cnf(4686,plain,
% 63.91/64.00 (~P6(a30,x46861,f12(f12(a32)))),
% 63.91/64.00 inference(scs_inference,[],[4540,4565,4556,4570,4581,4548,167,4577,4550,4552,4534,4575,4546,157,153,58,55,102,106,114,85,82,24,12,7,8,89,19,5,17,74,22,103,79,86,27,81,28,20,98,111,73,13,29,9,26,14,21,23,15,11,25,4,118,18,335,113,16,10,90,117,91,93,6,2,83,109,88,3,92,84,80,46])).
% 63.91/64.00 cnf(4794,plain,
% 63.91/64.00 ($false),
% 63.91/64.00 inference(scs_inference,[],[4667,4588,4583,4611,4679,4665,4636,4686,4632,992,4657,4619,4635,4660,4536,4565,153,106,114,1020,82,89,85,79,12,994,22,7,20,74,86,113,19,8,24,103,5,9,73,13,17,21,81,335,14,16,28,29,26,11,118,15,27,25,90,23,18,10,4,91,117,6,2,100,83,109,88,92,3,119]),
% 63.91/64.00 ['proof']).
% 63.91/64.00 % SZS output end Proof
% 63.91/64.00 % Total time :63.340000s
%------------------------------------------------------------------------------