TSTP Solution File: SET563-6 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET563-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n021.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 14:30:09 EDT 2023
% Result : Unsatisfiable 1.15s 1.21s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET563-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 15:29:56 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 1.13/1.21 %-------------------------------------------
% 1.13/1.21 % File :CSE---1.6
% 1.13/1.21 % Problem :theBenchmark
% 1.13/1.21 % Transform :cnf
% 1.13/1.21 % Format :tptp:raw
% 1.13/1.21 % Command :java -jar mcs_scs.jar %d %s
% 1.13/1.21
% 1.13/1.21 % Result :Theorem 0.550000s
% 1.13/1.21 % Output :CNFRefutation 0.550000s
% 1.13/1.21 %-------------------------------------------
% 1.13/1.21 %--------------------------------------------------------------------------
% 1.13/1.21 % File : SET563-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 1.13/1.21 % Domain : Set Theory
% 1.13/1.21 % Problem : Compatible function property 3
% 1.13/1.21 % Version : [Qua92] axioms.
% 1.13/1.21 % English :
% 1.13/1.21
% 1.13/1.21 % Refs : [BL+86] Boyer et al. (1986), Set Theory in First-Order Logic:
% 1.13/1.21 % : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 1.13/1.21 % Source : [Quaife]
% 1.13/1.21 % Names : CF6 [Qua92]
% 1.13/1.21
% 1.13/1.21 % Status : Unsatisfiable
% 1.13/1.21 % 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
% 1.13/1.21 % Syntax : Number of clauses : 115 ( 40 unt; 8 nHn; 82 RR)
% 1.13/1.21 % Number of literals : 221 ( 49 equ; 101 neg)
% 1.13/1.21 % Maximal clause size : 5 ( 1 avg)
% 1.13/1.21 % Maximal term depth : 6 ( 2 avg)
% 1.13/1.21 % Number of predicates : 11 ( 10 usr; 0 prp; 1-3 aty)
% 1.13/1.21 % Number of functors : 51 ( 51 usr; 17 con; 0-3 aty)
% 1.13/1.21 % Number of variables : 214 ( 32 sgn)
% 1.13/1.21 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.13/1.21
% 1.15/1.21 % Comments : Quaife proves all these problems by augmenting the axioms with
% 1.15/1.21 % all previously proved theorems. With a few exceptions (the
% 1.15/1.21 % problems that correspond to [BL+86] problems), the TPTP has
% 1.15/1.21 % retained the order in which Quaife presents the problems. The
% 1.15/1.21 % user may create an augmented version of this problem by adding
% 1.15/1.21 % all previously proved theorems (the ones that correspond to
% 1.15/1.21 % [BL+86] are easily identified and positioned using Quaife's
% 1.15/1.21 % naming scheme).
% 1.15/1.21 % Bugfixes : v1.0.1 - Bugfix in SET004-1.ax.
% 1.15/1.21 % : v1.2.1 - Fixed prove_compatible_function_property3_3.
% 1.15/1.21 % : v2.1.0 - Bugfix in SET004-0.ax.
% 1.15/1.21 %--------------------------------------------------------------------------
% 1.15/1.21 %----Include von Neuman-Bernays-Godel set theory axioms
% 1.15/1.21 include('Axioms/SET004-0.ax').
% 1.15/1.21 %----Include von Neuman-Bernays-Godel Boolean Algebra definitions
% 1.15/1.21 include('Axioms/SET004-1.ax').
% 1.15/1.21 %--------------------------------------------------------------------------
% 1.15/1.21 cnf(prove_compatible_function_property3_1,negated_conjecture,
% 1.15/1.21 compatible(xh1,xf1,xf2) ).
% 1.15/1.21
% 1.15/1.21 cnf(prove_compatible_function_property3_2,negated_conjecture,
% 1.15/1.21 compatible(xh2,xf2,xf3) ).
% 1.15/1.21
% 1.15/1.21 cnf(prove_compatible_function_property3_3,negated_conjecture,
% 1.15/1.21 ~ subclass(range_of(xh1),domain_of(xh2)) ).
% 1.15/1.21
% 1.15/1.21 %--------------------------------------------------------------------------
% 1.15/1.21 %-------------------------------------------
% 1.15/1.21 % Proof found
% 1.15/1.21 % SZS status Theorem for theBenchmark
% 1.15/1.21 % SZS output start Proof
% 1.15/1.21 %ClaNum:145(EqnAxiom:47)
% 1.15/1.21 %VarNum:892(SingletonVarNum:186)
% 1.15/1.21 %MaxLitNum:5
% 1.15/1.21 %MaxfuncDepth:24
% 1.15/1.21 %SharedTerms:55
% 1.15/1.22 %goalClause: 57 58 70
% 1.15/1.22 %singleGoalClaCount:3
% 1.15/1.22 [48]P1(a1)
% 1.15/1.22 [49]P2(a2)
% 1.15/1.22 [50]P5(a1,a21)
% 1.15/1.22 [57]P3(a30,a31,a32)
% 1.15/1.22 [58]P3(a34,a32,a33)
% 1.15/1.22 [52]P7(a5,f6(a21,a21))
% 1.15/1.22 [53]P7(a22,f6(a21,a21))
% 1.15/1.22 [54]P7(a11,f6(a21,a21))
% 1.15/1.22 [60]P7(a10,f6(a21,f6(a21,a21)))
% 1.15/1.22 [61]P7(a3,f6(a21,f6(a21,a21)))
% 1.15/1.22 [62]E(f16(f9(f8(a5,f9(a13))),a5),a23)
% 1.15/1.22 [66]E(f16(f12(f14(f6(a28,a21))),a28),a13)
% 1.15/1.22 [70]~P7(f12(f12(f14(f6(a30,a21)))),f12(a34))
% 1.15/1.22 [67]E(f16(f6(a21,a21),f16(f6(a21,a21),f9(f8(f9(a5),f12(f14(f6(a5,a21))))))),a28)
% 1.15/1.22 [51]P7(x511,a21)
% 1.15/1.22 [56]P7(f7(x561),f6(a21,a21))
% 1.15/1.22 [64]P7(f24(x641),f6(f6(a21,a21),a21))
% 1.15/1.22 [65]P7(f14(x651),f6(f6(a21,a21),a21))
% 1.15/1.22 [68]E(f16(f12(x681),f9(f12(f16(f8(f12(f14(f6(a5,a21))),x681),a13)))),f4(x681))
% 1.15/1.22 [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))
% 1.15/1.22 [55]P5(f29(x551,x552),a21)
% 1.15/1.22 [59]P7(f8(x591,x592),f6(a21,a21))
% 1.15/1.22 [63]E(f16(f6(x631,x632),x633),f16(x633,f6(x631,x632)))
% 1.15/1.22 [71]~P8(x711)+P2(x711)
% 1.15/1.22 [72]~P9(x721)+P2(x721)
% 1.15/1.22 [75]~P1(x751)+P7(a1,x751)
% 1.15/1.22 [76]~P1(x761)+P5(a20,x761)
% 1.15/1.22 [78]P5(f25(x781),x781)+E(x781,a20)
% 1.15/1.22 [79]~P2(x791)+P7(x791,f6(a21,a21))
% 1.15/1.22 [77]E(x771,a20)+E(f16(x771,f25(x771)),a20)
% 1.15/1.22 [87]~P9(x871)+E(f6(f12(f12(x871)),f12(f12(x871))),f12(x871))
% 1.15/1.22 [99]~P8(x991)+P2(f12(f14(f6(x991,a21))))
% 1.15/1.22 [103]~P5(x1031,a21)+P5(f12(f16(a5,f6(a21,x1031))),a21)
% 1.15/1.22 [105]~P10(x1051)+P7(f8(x1051,f12(f14(f6(x1051,a21)))),a13)
% 1.15/1.22 [106]~P2(x1061)+P7(f8(x1061,f12(f14(f6(x1061,a21)))),a13)
% 1.15/1.22 [107]~P9(x1071)+P7(f12(f12(f14(f6(x1071,a21)))),f12(f12(x1071)))
% 1.15/1.22 [112]~P5(x1121,a21)+P5(f29(f29(x1121,x1121),f29(x1121,f29(f12(x1121),f12(x1121)))),a11)
% 1.15/1.22 [115]P10(x1151)+~P7(f8(x1151,f12(f14(f6(x1151,a21)))),a13)
% 1.15/1.22 [127]~P1(x1271)+P7(f12(f12(f14(f6(f16(a22,f6(x1271,a21)),a21)))),x1271)
% 1.15/1.22 [131]~P5(x1311,a21)+P5(f9(f12(f12(f14(f6(f16(a5,f6(f9(x1311),a21)),a21))))),a21)
% 1.15/1.22 [73]~E(x732,x731)+P7(x731,x732)
% 1.15/1.22 [74]~E(x741,x742)+P7(x741,x742)
% 1.15/1.22 [81]P7(x811,x812)+P5(f17(x811,x812),x811)
% 1.15/1.22 [82]~P5(x821,x822)+~P5(x821,f9(x822))
% 1.15/1.22 [85]~P5(x851,a21)+P5(x851,f29(x852,x851))
% 1.15/1.22 [86]~P5(x861,a21)+P5(x861,f29(x861,x862))
% 1.15/1.22 [91]P7(x911,x912)+~P5(f17(x911,x912),x912)
% 1.15/1.22 [102]~P5(x1022,f12(x1021))+~E(f16(x1021,f6(f29(x1022,x1022),a21)),a20)
% 1.15/1.22 [113]E(f12(x1131),x1132)+~P5(f29(f29(x1131,x1131),f29(x1131,f29(x1132,x1132))),a11)
% 1.15/1.22 [114]P5(x1141,x1142)+~P5(f29(f29(x1141,x1141),f29(x1141,f29(x1142,x1142))),a5)
% 1.15/1.22 [123]~P5(f29(f29(x1231,x1231),f29(x1231,f29(x1232,x1232))),a22)+E(f9(f16(f9(x1231),f9(f29(x1231,x1231)))),x1232)
% 1.15/1.22 [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)
% 1.15/1.22 [93]P2(x931)+~P3(x931,x932,x933)
% 1.15/1.22 [94]P2(x941)+~P6(x941,x942,x943)
% 1.15/1.22 [95]P9(x951)+~P4(x952,x953,x951)
% 1.15/1.22 [96]P9(x961)+~P4(x962,x961,x963)
% 1.15/1.22 [101]~P4(x1011,x1012,x1013)+P3(x1011,x1012,x1013)
% 1.15/1.22 [89]P5(x891,x892)+~P5(x891,f16(x893,x892))
% 1.15/1.22 [90]P5(x901,x902)+~P5(x901,f16(x902,x903))
% 1.15/1.22 [97]~P6(x971,x972,x973)+E(f12(x971),x972)
% 1.15/1.22 [98]~P3(x982,x981,x983)+E(f12(f12(x981)),f12(x982))
% 1.15/1.22 [116]E(f8(x1161,x1162),x1163)+~P5(f29(f29(x1162,x1162),f29(x1162,f29(x1163,x1163))),f7(x1161))
% 1.15/1.22 [108]~P5(x1081,f6(x1082,x1083))+E(f29(f29(f15(x1081),f15(x1081)),f29(f15(x1081),f29(f26(x1081),f26(x1081)))),x1081)
% 1.15/1.22 [110]~P6(x1101,x1103,x1102)+P7(f12(f12(f14(f6(x1101,a21)))),x1102)
% 1.15/1.22 [111]~P3(x1111,x1113,x1112)+P7(f12(f12(f14(f6(x1111,a21)))),f12(f12(x1112)))
% 1.15/1.22 [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)
% 1.15/1.22 [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)
% 1.15/1.22 [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)
% 1.15/1.22 [117]P5(x1171,x1172)+~P5(f29(f29(x1173,x1173),f29(x1173,f29(x1171,x1171))),f6(x1174,x1172))
% 1.15/1.22 [118]P5(x1181,x1182)+~P5(f29(f29(x1181,x1181),f29(x1181,f29(x1183,x1183))),f6(x1182,x1184))
% 1.15/1.22 [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)
% 1.15/1.22 [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)
% 1.15/1.22 [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)))))
% 1.15/1.22 [104]~P2(x1041)+P8(x1041)+~P2(f12(f14(f6(x1041,a21))))
% 1.15/1.22 [120]P2(x1201)+~P7(x1201,f6(a21,a21))+~P7(f8(x1201,f12(f14(f6(x1201,a21)))),a13)
% 1.15/1.22 [129]P1(x1291)+~P5(a20,x1291)+~P7(f12(f12(f14(f6(f16(a22,f6(x1291,a21)),a21)))),x1291)
% 1.15/1.22 [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)
% 1.15/1.22 [80]~P7(x802,x801)+~P7(x801,x802)+E(x801,x802)
% 1.15/1.22 [83]P5(x831,x832)+P5(x831,f9(x832))+~P5(x831,a21)
% 1.15/1.22 [100]P5(x1002,f12(x1001))+~P5(x1002,a21)+E(f16(x1001,f6(f29(x1002,x1002),a21)),a20)
% 1.15/1.22 [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)
% 1.15/1.22 [119]~P2(x1191)+P6(x1191,f12(x1191),x1192)+~P7(f12(f12(f14(f6(x1191,a21)))),x1192)
% 1.15/1.22 [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)
% 1.15/1.22 [128]~P2(x1281)+~P5(x1282,a21)+P5(f12(f12(f14(f6(f16(x1281,f6(x1282,a21)),a21)))),a21)
% 1.15/1.22 [84]~P5(x841,x843)+P5(x841,x842)+~P7(x843,x842)
% 1.15/1.22 [88]E(x881,x882)+E(x881,x883)+~P5(x881,f29(x883,x882))
% 1.15/1.22 [92]~P5(x921,x923)+~P5(x921,x922)+P5(x921,f16(x922,x923))
% 1.15/1.22 [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))
% 1.15/1.22 [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)
% 1.15/1.22 [109]~P5(x1092,x1094)+~P5(x1091,x1093)+P5(f29(f29(x1091,x1091),f29(x1091,f29(x1092,x1092))),f6(x1093,x1094))
% 1.15/1.22 [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))
% 1.15/1.22 [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))
% 1.15/1.22 [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)))))
% 1.15/1.22 [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))))))))
% 1.15/1.22 [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)))
% 1.15/1.22 [121]~P2(x1211)+P3(x1211,x1212,x1213)+~E(f12(f12(x1212)),f12(x1211))+~P7(f12(f12(f14(f6(x1211,a21)))),f12(f12(x1213)))
% 1.15/1.22 [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))
% 1.15/1.22 [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))))))))
% 1.15/1.22 %EqnAxiom
% 1.15/1.22 [1]E(x11,x11)
% 1.15/1.22 [2]E(x22,x21)+~E(x21,x22)
% 1.15/1.22 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.15/1.22 [4]~E(x41,x42)+E(f6(x41,x43),f6(x42,x43))
% 1.15/1.22 [5]~E(x51,x52)+E(f6(x53,x51),f6(x53,x52))
% 1.15/1.22 [6]~E(x61,x62)+E(f12(x61),f12(x62))
% 1.15/1.22 [7]~E(x71,x72)+E(f16(x71,x73),f16(x72,x73))
% 1.15/1.22 [8]~E(x81,x82)+E(f16(x83,x81),f16(x83,x82))
% 1.15/1.22 [9]~E(x91,x92)+E(f29(x91,x93),f29(x92,x93))
% 1.15/1.22 [10]~E(x101,x102)+E(f29(x103,x101),f29(x103,x102))
% 1.15/1.22 [11]~E(x111,x112)+E(f7(x111),f7(x112))
% 1.15/1.22 [12]~E(x121,x122)+E(f8(x121,x123),f8(x122,x123))
% 1.15/1.22 [13]~E(x131,x132)+E(f8(x133,x131),f8(x133,x132))
% 1.15/1.22 [14]~E(x141,x142)+E(f14(x141),f14(x142))
% 1.15/1.22 [15]~E(x151,x152)+E(f19(x151,x153,x154),f19(x152,x153,x154))
% 1.15/1.22 [16]~E(x161,x162)+E(f19(x163,x161,x164),f19(x163,x162,x164))
% 1.15/1.22 [17]~E(x171,x172)+E(f19(x173,x174,x171),f19(x173,x174,x172))
% 1.15/1.22 [18]~E(x181,x182)+E(f26(x181),f26(x182))
% 1.15/1.22 [19]~E(x191,x192)+E(f18(x191,x193,x194),f18(x192,x193,x194))
% 1.15/1.22 [20]~E(x201,x202)+E(f18(x203,x201,x204),f18(x203,x202,x204))
% 1.15/1.22 [21]~E(x211,x212)+E(f18(x213,x214,x211),f18(x213,x214,x212))
% 1.15/1.22 [22]~E(x221,x222)+E(f27(x221),f27(x222))
% 1.15/1.22 [23]~E(x231,x232)+E(f15(x231),f15(x232))
% 1.15/1.22 [24]~E(x241,x242)+E(f9(x241),f9(x242))
% 1.15/1.22 [25]~E(x251,x252)+E(f24(x251),f24(x252))
% 1.15/1.22 [26]~E(x261,x262)+E(f25(x261),f25(x262))
% 1.15/1.22 [27]~E(x271,x272)+E(f17(x271,x273),f17(x272,x273))
% 1.15/1.22 [28]~E(x281,x282)+E(f17(x283,x281),f17(x283,x282))
% 1.15/1.22 [29]~E(x291,x292)+E(f4(x291),f4(x292))
% 1.15/1.22 [30]~P1(x301)+P1(x302)+~E(x301,x302)
% 1.15/1.22 [31]~P2(x311)+P2(x312)+~E(x311,x312)
% 1.15/1.22 [32]P5(x322,x323)+~E(x321,x322)+~P5(x321,x323)
% 1.15/1.22 [33]P5(x333,x332)+~E(x331,x332)+~P5(x333,x331)
% 1.15/1.22 [34]P7(x342,x343)+~E(x341,x342)+~P7(x341,x343)
% 1.15/1.22 [35]P7(x353,x352)+~E(x351,x352)+~P7(x353,x351)
% 1.15/1.22 [36]P3(x362,x363,x364)+~E(x361,x362)+~P3(x361,x363,x364)
% 1.15/1.22 [37]P3(x373,x372,x374)+~E(x371,x372)+~P3(x373,x371,x374)
% 1.15/1.22 [38]P3(x383,x384,x382)+~E(x381,x382)+~P3(x383,x384,x381)
% 1.15/1.22 [39]~P8(x391)+P8(x392)+~E(x391,x392)
% 1.15/1.22 [40]P4(x402,x403,x404)+~E(x401,x402)+~P4(x401,x403,x404)
% 1.15/1.22 [41]P4(x413,x412,x414)+~E(x411,x412)+~P4(x413,x411,x414)
% 1.15/1.22 [42]P4(x423,x424,x422)+~E(x421,x422)+~P4(x423,x424,x421)
% 1.15/1.22 [43]~P9(x431)+P9(x432)+~E(x431,x432)
% 1.15/1.22 [44]P6(x442,x443,x444)+~E(x441,x442)+~P6(x441,x443,x444)
% 1.15/1.22 [45]P6(x453,x452,x454)+~E(x451,x452)+~P6(x453,x451,x454)
% 1.15/1.22 [46]P6(x463,x464,x462)+~E(x461,x462)+~P6(x463,x464,x461)
% 1.15/1.22 [47]~P10(x471)+P10(x472)+~E(x471,x472)
% 1.15/1.22
% 1.15/1.22 %-------------------------------------------
% 1.15/1.22 cnf(146,plain,
% 1.15/1.22 (E(a13,f16(f12(f14(f6(a28,a21))),a28))),
% 1.15/1.22 inference(scs_inference,[],[66,2])).
% 1.15/1.22 cnf(147,plain,
% 1.15/1.22 (~E(f12(f12(f14(f6(a30,a21)))),f12(a34))),
% 1.15/1.22 inference(scs_inference,[],[66,70,2,74])).
% 1.15/1.22 cnf(149,plain,
% 1.15/1.22 (~E(f12(a34),f12(f12(f14(f6(a30,a21)))))),
% 1.15/1.23 inference(scs_inference,[],[66,70,2,74,73])).
% 1.17/1.23 cnf(151,plain,
% 1.17/1.23 (~P6(a30,x1511,f12(a34))),
% 1.17/1.23 inference(scs_inference,[],[66,70,2,74,73,110])).
% 1.17/1.23 cnf(155,plain,
% 1.17/1.23 (~E(f12(f14(f6(a30,a21))),a34)),
% 1.17/1.23 inference(scs_inference,[],[66,70,2,74,73,110,97,6])).
% 1.17/1.23 cnf(156,plain,
% 1.17/1.23 (~P3(a34,f14(f6(a30,a21)),x1561)),
% 1.17/1.23 inference(scs_inference,[],[66,70,2,74,73,110,97,6,98])).
% 1.17/1.23 cnf(158,plain,
% 1.17/1.23 (~E(a32,f14(f6(a30,a21)))),
% 1.17/1.23 inference(scs_inference,[],[58,66,70,2,74,73,110,97,6,98,37])).
% 1.17/1.23 cnf(159,plain,
% 1.17/1.23 (~E(a21,f12(a34))),
% 1.17/1.23 inference(scs_inference,[],[51,58,66,70,2,74,73,110,97,6,98,37,35])).
% 1.17/1.23 cnf(160,plain,
% 1.17/1.23 (P7(x1601,a21)),
% 1.17/1.23 inference(rename_variables,[],[51])).
% 1.17/1.23 cnf(164,plain,
% 1.17/1.23 (P2(a30)),
% 1.17/1.23 inference(scs_inference,[],[57,51,160,58,49,66,70,2,74,73,110,97,6,98,37,35,119,93])).
% 1.17/1.23 cnf(184,plain,
% 1.17/1.23 (E(f4(f16(f12(f14(f6(a28,a21))),a28)),f4(a13))),
% 1.17/1.23 inference(scs_inference,[],[57,51,160,58,48,49,50,66,70,2,74,73,110,97,6,98,37,35,119,93,76,75,79,131,127,103,86,85,82,29])).
% 1.17/1.23 cnf(192,plain,
% 1.17/1.23 (E(f18(x1921,x1922,f16(f12(f14(f6(a28,a21))),a28)),f18(x1921,x1922,a13))),
% 1.17/1.23 inference(scs_inference,[],[57,51,160,58,48,49,50,66,70,2,74,73,110,97,6,98,37,35,119,93,76,75,79,131,127,103,86,85,82,29,28,27,26,25,24,23,22,21])).
% 1.17/1.23 cnf(193,plain,
% 1.17/1.23 (E(f18(x1931,f16(f12(f14(f6(a28,a21))),a28),x1932),f18(x1931,a13,x1932))),
% 1.17/1.23 inference(scs_inference,[],[57,51,160,58,48,49,50,66,70,2,74,73,110,97,6,98,37,35,119,93,76,75,79,131,127,103,86,85,82,29,28,27,26,25,24,23,22,21,20])).
% 1.17/1.23 cnf(209,plain,
% 1.17/1.23 (P7(f12(f12(f14(f6(a30,a21)))),f12(f12(a32)))),
% 1.17/1.23 inference(scs_inference,[],[57,51,160,58,48,49,50,66,70,2,74,73,110,97,6,98,37,35,119,93,76,75,79,131,127,103,86,85,82,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,111])).
% 1.17/1.23 cnf(211,plain,
% 1.17/1.23 (P7(f8(a2,f12(f14(f6(a2,a21)))),a13)),
% 1.17/1.23 inference(scs_inference,[],[57,51,160,58,48,49,50,66,70,2,74,73,110,97,6,98,37,35,119,93,76,75,79,131,127,103,86,85,82,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,111,106])).
% 1.17/1.23 cnf(213,plain,
% 1.17/1.23 (~P5(f17(f12(f12(f14(f6(a30,a21)))),f12(a34)),f12(a34))),
% 1.17/1.23 inference(scs_inference,[],[57,51,160,58,48,49,50,66,70,2,74,73,110,97,6,98,37,35,119,93,76,75,79,131,127,103,86,85,82,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,111,106,91])).
% 1.17/1.23 cnf(217,plain,
% 1.17/1.23 (~P5(f29(f29(x2171,x2171),f29(x2171,f29(a1,a1))),f6(x2172,f9(a21)))),
% 1.17/1.23 inference(scs_inference,[],[57,51,160,58,48,49,50,66,70,2,74,73,110,97,6,98,37,35,119,93,76,75,79,131,127,103,86,85,82,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,111,106,91,81,117])).
% 1.17/1.23 cnf(219,plain,
% 1.17/1.23 (~P5(f29(f29(a1,a1),f29(a1,f29(x2191,x2191))),f6(f9(a21),x2192))),
% 1.17/1.23 inference(scs_inference,[],[57,51,160,58,48,49,50,66,70,2,74,73,110,97,6,98,37,35,119,93,76,75,79,131,127,103,86,85,82,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,111,106,91,81,117,118])).
% 1.17/1.23 cnf(221,plain,
% 1.17/1.23 (~E(f16(f12(f14(f6(a30,a21))),f6(f29(f17(f12(f12(f14(f6(a30,a21)))),f12(a34)),f17(f12(f12(f14(f6(a30,a21)))),f12(a34))),a21)),a20)),
% 1.17/1.23 inference(scs_inference,[],[57,51,160,58,48,49,50,66,70,2,74,73,110,97,6,98,37,35,119,93,76,75,79,131,127,103,86,85,82,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,111,106,91,81,117,118,102])).
% 1.17/1.23 cnf(225,plain,
% 1.17/1.23 (P5(f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1)))),a11)),
% 1.17/1.23 inference(scs_inference,[],[57,51,160,58,48,49,50,66,70,2,74,73,110,97,6,98,37,35,119,93,76,75,79,131,127,103,86,85,82,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,111,106,91,81,117,118,102,114,112])).
% 1.17/1.23 cnf(233,plain,
% 1.17/1.23 (~E(f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1)))),f29(f29(f12(f14(f6(a30,a21))),f12(f14(f6(a30,a21)))),f29(f12(f14(f6(a30,a21))),f29(f12(a34),f12(a34)))))),
% 1.17/1.23 inference(scs_inference,[],[57,51,160,58,48,49,50,66,70,2,74,73,110,97,6,98,37,35,119,93,76,75,79,131,127,103,86,85,82,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,111,106,91,81,117,118,102,114,112,113,133,46,33,32])).
% 1.17/1.23 cnf(283,plain,
% 1.17/1.23 (E(f16(f16(f12(f14(f6(a30,a21))),f6(f29(f17(f12(f12(f14(f6(a30,a21)))),f12(a34)),f17(f12(f12(f14(f6(a30,a21)))),f12(a34))),a21)),f25(f16(f12(f14(f6(a30,a21))),f6(f29(f17(f12(f12(f14(f6(a30,a21)))),f12(a34)),f17(f12(f12(f14(f6(a30,a21)))),f12(a34))),a21)))),a20)),
% 1.17/1.23 inference(scs_inference,[],[217,221,90,89,77])).
% 1.17/1.23 cnf(285,plain,
% 1.17/1.23 (P7(a23,f16(f9(f8(a5,f9(a13))),a5))),
% 1.17/1.23 inference(scs_inference,[],[62,217,221,90,89,77,73])).
% 1.17/1.23 cnf(291,plain,
% 1.17/1.23 (~P7(a21,f6(x2911,f9(a21)))),
% 1.17/1.23 inference(scs_inference,[],[57,55,62,49,217,221,90,89,77,73,98,128,84])).
% 1.17/1.23 cnf(292,plain,
% 1.17/1.23 (P5(f29(x2921,x2922),a21)),
% 1.17/1.23 inference(rename_variables,[],[55])).
% 1.17/1.23 cnf(299,plain,
% 1.17/1.23 (E(a23,f16(f9(f8(a5,f9(a13))),a5))),
% 1.17/1.23 inference(scs_inference,[],[57,55,62,68,49,217,184,221,90,89,77,73,98,128,84,74,6,3,80])).
% 1.17/1.23 cnf(304,plain,
% 1.17/1.23 (~P5(f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1)))),f29(f29(f29(f12(f14(f6(a30,a21))),f12(f14(f6(a30,a21)))),f29(f12(f14(f6(a30,a21))),f29(f12(a34),f12(a34)))),f29(f29(f12(f14(f6(a30,a21))),f12(f14(f6(a30,a21)))),f29(f12(f14(f6(a30,a21))),f29(f12(a34),f12(a34))))))),
% 1.17/1.23 inference(scs_inference,[],[57,55,292,62,68,49,233,217,184,221,90,89,77,73,98,128,84,74,6,3,80,83,88])).
% 1.17/1.23 cnf(306,plain,
% 1.17/1.23 (~E(f29(f29(f12(f14(f6(a30,a21))),f12(f14(f6(a30,a21)))),f29(f12(f14(f6(a30,a21))),f29(f12(a34),f12(a34)))),f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1)))))),
% 1.17/1.23 inference(scs_inference,[],[57,55,292,62,68,49,233,217,184,221,90,89,77,73,98,128,84,74,6,3,80,83,88,2])).
% 1.17/1.23 cnf(330,plain,
% 1.17/1.23 (P5(f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1)))),f6(a21,a21))),
% 1.17/1.23 inference(scs_inference,[],[54,291,285,299,225,34,73,84])).
% 1.17/1.23 cnf(333,plain,
% 1.17/1.23 (~E(f16(f12(f14(f6(a30,a21))),f6(f29(f17(f12(f12(f14(f6(a30,a21)))),f12(a34)),f17(f12(f12(f14(f6(a30,a21)))),f12(a34))),a21)),f16(f16(f12(f14(f6(a30,a21))),f6(f29(f17(f12(f12(f14(f6(a30,a21)))),f12(a34)),f17(f12(f12(f14(f6(a30,a21)))),f12(a34))),a21)),f25(f16(f12(f14(f6(a30,a21))),f6(f29(f17(f12(f12(f14(f6(a30,a21)))),f12(a34)),f17(f12(f12(f14(f6(a30,a21)))),f12(a34))),a21)))))),
% 1.17/1.23 inference(scs_inference,[],[54,67,283,291,285,299,225,221,34,73,84,2,3])).
% 1.17/1.23 cnf(335,plain,
% 1.17/1.23 (E(f29(f29(f15(f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1))))),f15(f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1)))))),f29(f15(f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1))))),f29(f26(f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1))))),f26(f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1)))))))),f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1)))))),
% 1.17/1.23 inference(scs_inference,[],[54,67,149,283,291,285,299,225,221,34,73,84,2,3,6,108])).
% 1.17/1.23 cnf(337,plain,
% 1.17/1.23 (P5(f29(f29(a1,a1),f29(a1,f29(f29(f29(f12(a1),f12(a1)),f29(f12(a1),f29(f8(a1,f12(a1)),f8(a1,f12(a1))))),f29(f29(f12(a1),f12(a1)),f29(f12(a1),f29(f8(a1,f12(a1)),f8(a1,f12(a1)))))))),a10)),
% 1.17/1.23 inference(scs_inference,[],[54,67,149,283,291,285,299,225,221,34,73,84,2,3,6,108,136])).
% 1.17/1.23 cnf(340,plain,
% 1.17/1.23 (P5(f12(a1),a21)),
% 1.17/1.23 inference(scs_inference,[],[54,67,49,149,283,291,285,299,225,221,34,73,84,2,3,6,108,136,31,117])).
% 1.17/1.23 cnf(364,plain,
% 1.17/1.23 (~P5(f29(f29(x3641,x3641),f29(x3641,f29(f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1)))),f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1))))))),f6(x3642,f29(f29(f29(f12(f14(f6(a30,a21))),f12(f14(f6(a30,a21)))),f29(f12(f14(f6(a30,a21))),f29(f12(a34),f12(a34)))),f29(f29(f12(f14(f6(a30,a21))),f12(f14(f6(a30,a21)))),f29(f12(f14(f6(a30,a21))),f29(f12(a34),f12(a34)))))))),
% 1.17/1.23 inference(scs_inference,[],[304,117])).
% 1.17/1.23 cnf(366,plain,
% 1.17/1.23 (P7(f12(f12(f14(f6(a34,a21)))),f12(f12(a33)))),
% 1.17/1.23 inference(scs_inference,[],[58,304,117,111])).
% 1.17/1.23 cnf(368,plain,
% 1.17/1.23 (~P7(a21,f29(f29(f29(f12(f14(f6(a30,a21))),f12(f14(f6(a30,a21)))),f29(f12(f14(f6(a30,a21))),f29(f12(a34),f12(a34)))),f29(f29(f12(f14(f6(a30,a21))),f12(f14(f6(a30,a21)))),f29(f12(f14(f6(a30,a21))),f29(f12(a34),f12(a34))))))),
% 1.17/1.23 inference(scs_inference,[],[58,55,304,117,111,84])).
% 1.17/1.23 cnf(371,plain,
% 1.17/1.23 (P7(f16(x3711,f6(x3712,x3713)),f16(f6(x3712,x3713),x3711))),
% 1.17/1.23 inference(scs_inference,[],[58,63,55,304,117,111,84,73])).
% 1.17/1.23 cnf(376,plain,
% 1.17/1.23 (~E(f16(f16(f12(f14(f6(a30,a21))),f6(f29(f17(f12(f12(f14(f6(a30,a21)))),f12(a34)),f17(f12(f12(f14(f6(a30,a21)))),f12(a34))),a21)),f25(f16(f12(f14(f6(a30,a21))),f6(f29(f17(f12(f12(f14(f6(a30,a21)))),f12(a34)),f17(f12(f12(f14(f6(a30,a21)))),f12(a34))),a21)))),f16(f12(f14(f6(a30,a21))),f6(f29(f17(f12(f12(f14(f6(a30,a21)))),f12(a34)),f17(f12(f12(f14(f6(a30,a21)))),f12(a34))),a21)))),
% 1.17/1.23 inference(scs_inference,[],[58,63,55,333,335,304,306,117,111,84,73,74,3,2])).
% 1.17/1.23 cnf(406,plain,
% 1.17/1.23 (E(f12(f12(a32)),f12(a34))),
% 1.17/1.23 inference(scs_inference,[],[364,58,114,98])).
% 1.17/1.23 cnf(409,plain,
% 1.17/1.23 (P5(f29(x4091,x4092),a21)),
% 1.17/1.23 inference(rename_variables,[],[55])).
% 1.17/1.23 cnf(413,plain,
% 1.17/1.23 (~P7(a21,f12(a34))),
% 1.17/1.23 inference(scs_inference,[],[51,55,364,159,368,58,114,98,84,73,80])).
% 1.17/1.23 cnf(426,plain,
% 1.17/1.23 (~P6(a30,x4261,f12(f12(a32)))),
% 1.17/1.23 inference(scs_inference,[],[51,146,67,68,55,371,364,159,368,219,192,193,335,151,58,114,98,84,73,80,74,35,3,2,32,46])).
% 1.17/1.23 cnf(428,plain,
% 1.17/1.23 (P5(f29(x4281,x4282),a21)),
% 1.17/1.23 inference(rename_variables,[],[55])).
% 1.17/1.23 cnf(429,plain,
% 1.17/1.23 (~P4(a34,f14(f6(a30,a21)),x4291)),
% 1.17/1.23 inference(scs_inference,[],[51,146,67,68,55,409,371,364,159,368,219,192,193,335,151,156,58,114,98,84,73,80,74,35,3,2,32,46,33,101])).
% 1.17/1.23 cnf(443,plain,
% 1.17/1.23 (P10(a2)),
% 1.17/1.23 inference(scs_inference,[],[51,146,67,68,55,409,428,371,364,159,155,368,211,219,192,193,335,151,156,221,58,114,98,84,73,80,74,35,3,2,32,46,33,101,131,103,97,86,85,78,115])).
% 1.17/1.23 cnf(450,plain,
% 1.17/1.23 (~P5(f29(f29(x4501,x4501),f29(x4501,f29(f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1)))),f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1))))))),f6(x4502,f29(f29(f29(f12(f14(f6(a30,a21))),f12(f14(f6(a30,a21)))),f29(f12(f14(f6(a30,a21))),f29(f12(a34),f12(a34)))),f29(f29(f12(f14(f6(a30,a21))),f12(f14(f6(a30,a21)))),f29(f12(f14(f6(a30,a21))),f29(f12(a34),f12(a34)))))))),
% 1.17/1.23 inference(rename_variables,[],[364])).
% 1.17/1.23 cnf(453,plain,
% 1.17/1.23 (~P5(f29(f29(x4531,x4531),f29(x4531,f29(f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1)))),f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1))))))),f6(x4532,f29(f29(f29(f12(f14(f6(a30,a21))),f12(f14(f6(a30,a21)))),f29(f12(f14(f6(a30,a21))),f29(f12(a34),f12(a34)))),f29(f29(f12(f14(f6(a30,a21))),f12(f14(f6(a30,a21)))),f29(f12(f14(f6(a30,a21))),f29(f12(a34),f12(a34)))))))),
% 1.17/1.23 inference(rename_variables,[],[364])).
% 1.17/1.23 cnf(455,plain,
% 1.17/1.23 (~P5(f29(f29(f29(f29(x4551,x4551),f29(x4551,f29(f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1)))),f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1))))))),f29(f29(x4551,x4551),f29(x4551,f29(f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1)))),f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1)))))))),f29(f29(f29(x4551,x4551),f29(x4551,f29(f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1)))),f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1))))))),f29(x4552,x4552))),f6(f6(x4553,f29(f29(f29(f12(f14(f6(a30,a21))),f12(f14(f6(a30,a21)))),f29(f12(f14(f6(a30,a21))),f29(f12(a34),f12(a34)))),f29(f29(f12(f14(f6(a30,a21))),f12(f14(f6(a30,a21)))),f29(f12(f14(f6(a30,a21))),f29(f12(a34),f12(a34)))))),x4554))),
% 1.17/1.23 inference(scs_inference,[],[51,146,67,68,55,409,428,371,364,450,453,159,155,368,211,219,192,193,335,151,156,221,58,114,98,84,73,80,74,35,3,2,32,46,33,101,131,103,97,86,85,78,115,91,112,135,134,118])).
% 1.17/1.23 cnf(457,plain,
% 1.17/1.23 (P5(f25(f16(f12(f14(f6(a30,a21))),f6(f29(f17(f12(f12(f14(f6(a30,a21)))),f12(a34)),f17(f12(f12(f14(f6(a30,a21)))),f12(a34))),a21))),f12(f14(f6(a30,a21))))),
% 1.17/1.23 inference(scs_inference,[],[51,146,67,68,55,409,428,371,364,450,453,159,155,368,211,219,192,193,335,151,156,221,58,114,98,84,73,80,74,35,3,2,32,46,33,101,131,103,97,86,85,78,115,91,112,135,134,118,90])).
% 1.17/1.23 cnf(469,plain,
% 1.17/1.23 (P2(a34)),
% 1.17/1.23 inference(scs_inference,[],[51,146,67,68,55,409,428,371,364,450,453,159,155,368,209,164,211,219,192,193,330,335,151,156,221,58,114,98,84,73,80,74,35,3,2,32,46,33,101,131,103,97,86,85,78,115,91,112,135,134,118,90,82,41,89,6,125,79,119,93])).
% 1.17/1.23 cnf(517,plain,
% 1.17/1.23 (~P5(f29(f29(f29(f29(x5171,x5171),f29(x5171,f29(f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1)))),f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1))))))),f29(f29(x5171,x5171),f29(x5171,f29(f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1)))),f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1)))))))),f29(f29(f29(x5171,x5171),f29(x5171,f29(f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1)))),f29(f29(a1,a1),f29(a1,f29(f12(a1),f12(a1))))))),f29(x5172,x5172))),f16(f6(f6(x5173,f29(f29(f29(f12(f14(f6(a30,a21))),f12(f14(f6(a30,a21)))),f29(f12(f14(f6(a30,a21))),f29(f12(a34),f12(a34)))),f29(f29(f12(f14(f6(a30,a21))),f12(f14(f6(a30,a21)))),f29(f12(f14(f6(a30,a21))),f29(f12(a34),f12(a34)))))),x5174),x5175))),
% 1.17/1.23 inference(scs_inference,[],[51,455,457,469,102,119,90])).
% 1.17/1.23 cnf(528,plain,
% 1.17/1.23 (E(f16(f6(x5281,x5282),x5283),f16(x5283,f6(x5281,x5282)))),
% 1.17/1.23 inference(rename_variables,[],[63])).
% 1.17/1.23 cnf(536,plain,
% 1.17/1.23 (P5(f29(f29(f12(a1),f12(a1)),f29(f12(a1),f29(f8(a1,f12(a1)),f8(a1,f12(a1))))),f6(a21,a21))),
% 1.17/1.23 inference(scs_inference,[],[60,51,67,63,528,55,455,158,376,457,406,337,443,469,371,213,102,119,90,89,84,109,73,35,3,2,33,47,133,117])).
% 1.17/1.23 cnf(547,plain,
% 1.17/1.23 (P5(f29(x5471,x5472),a21)),
% 1.17/1.23 inference(rename_variables,[],[55])).
% 1.17/1.23 cnf(553,plain,
% 1.17/1.23 (~E(a2,x5531)+~P5(f12(f12(f14(f6(a30,a21)))),f29(f12(a34),f12(a34)))),
% 1.17/1.23 inference(scs_inference,[],[60,147,51,67,63,528,55,547,49,50,455,158,376,457,406,429,337,443,469,371,213,102,119,90,89,84,109,73,35,3,2,33,47,133,117,105,77,30,128,40,83,92,104,88])).
% 1.17/1.23 cnf(571,plain,
% 1.17/1.23 (~P5(f12(f12(f14(f6(a30,a21)))),f29(f12(a34),f12(a34)))),
% 1.17/1.23 inference(equality_inference,[],[553])).
% 1.17/1.23 cnf(581,plain,
% 1.17/1.23 (~P5(f29(f29(x5811,x5811),f29(x5811,f29(f12(f12(f14(f6(a30,a21)))),f12(f12(f14(f6(a30,a21))))))),f6(x5812,f29(f12(a34),f12(a34))))),
% 1.17/1.23 inference(scs_inference,[],[55,517,571,469,128,114,117])).
% 1.17/1.23 cnf(584,plain,
% 1.17/1.23 (P5(f29(x5841,x5842),a21)),
% 1.17/1.23 inference(rename_variables,[],[55])).
% 1.17/1.23 cnf(597,plain,
% 1.17/1.23 (P7(f16(f12(x5971),f9(f12(f16(f8(f12(f14(f6(a5,a21))),x5971),a13)))),f4(x5971))),
% 1.17/1.23 inference(scs_inference,[],[149,68,55,584,517,340,366,571,413,469,128,114,117,83,119,88,92,84,73,74])).
% 1.17/1.23 cnf(637,plain,
% 1.17/1.23 ($false),
% 1.17/1.23 inference(scs_inference,[],[68,581,597,536,426,209,164,90,34,117,119]),
% 1.17/1.23 ['proof']).
% 1.17/1.23 % SZS output end Proof
% 1.17/1.23 % Total time :0.550000s
%------------------------------------------------------------------------------