TSTP Solution File: SET203-6 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET203-6 : 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 : n032.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 14:29:14 EDT 2023
% Result : Unsatisfiable 1.49s 1.57s
% Output : CNFRefutation 1.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET203-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.11/0.32 % Computer : n032.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat Aug 26 11:02:13 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.52 start to proof:theBenchmark
% 1.47/1.57 %-------------------------------------------
% 1.49/1.57 % File :CSE---1.6
% 1.49/1.57 % Problem :theBenchmark
% 1.49/1.57 % Transform :cnf
% 1.49/1.57 % Format :tptp:raw
% 1.49/1.57 % Command :java -jar mcs_scs.jar %d %s
% 1.49/1.57
% 1.49/1.57 % Result :Theorem 0.970000s
% 1.49/1.57 % Output :CNFRefutation 0.970000s
% 1.49/1.57 %-------------------------------------------
% 1.49/1.57 %--------------------------------------------------------------------------
% 1.49/1.57 % File : SET203-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 1.49/1.57 % Domain : Set Theory
% 1.49/1.57 % Problem : Corollary to cross product product property 1
% 1.49/1.57 % Version : [Qua92] axioms.
% 1.49/1.57 % English :
% 1.49/1.57
% 1.49/1.57 % Refs : [BL+86] Boyer et al. (1986), Set Theory in First-Order Logic:
% 1.49/1.57 % : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 1.49/1.57 % Source : [Quaife]
% 1.49/1.57 % Names : CP1 cor. [Qua92]
% 1.49/1.57
% 1.49/1.57 % Status : Unsatisfiable
% 1.49/1.57 % Rating : 0.10 v8.1.0, 0.11 v7.4.0, 0.18 v7.3.0, 0.08 v7.0.0, 0.13 v6.4.0, 0.20 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.00 v5.5.0, 0.20 v5.3.0, 0.11 v5.2.0, 0.12 v5.1.0, 0.18 v5.0.0, 0.21 v4.1.0, 0.23 v4.0.1, 0.36 v3.7.0, 0.30 v3.5.0, 0.27 v3.4.0, 0.17 v3.3.0, 0.14 v3.2.0, 0.08 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.4.0, 0.12 v2.3.0, 0.00 v2.2.1, 0.17 v2.2.0, 0.00 v2.1.0
% 1.49/1.57 % Syntax : Number of clauses : 115 ( 40 unt; 8 nHn; 82 RR)
% 1.49/1.57 % Number of literals : 221 ( 49 equ; 101 neg)
% 1.49/1.57 % Maximal clause size : 5 ( 1 avg)
% 1.49/1.57 % Maximal term depth : 6 ( 2 avg)
% 1.49/1.57 % Number of predicates : 11 ( 10 usr; 0 prp; 1-3 aty)
% 1.49/1.57 % Number of functors : 50 ( 50 usr; 16 con; 0-3 aty)
% 1.49/1.57 % Number of variables : 214 ( 32 sgn)
% 1.49/1.57 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.49/1.57
% 1.49/1.57 % Comments : Quaife proves all these problems by augmenting the axioms with
% 1.49/1.57 % all previously proved theorems. With a few exceptions (the
% 1.49/1.57 % problems that correspond to [BL+86] problems), the TPTP has
% 1.49/1.57 % retained the order in which Quaife presents the problems. The
% 1.49/1.57 % user may create an augmented version of this problem by adding
% 1.49/1.57 % all previously proved theorems (the ones that correspond to
% 1.49/1.57 % [BL+86] are easily identified and positioned using Quaife's
% 1.49/1.57 % naming scheme).
% 1.49/1.57 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 1.49/1.57 %--------------------------------------------------------------------------
% 1.49/1.57 %----Include von Neuman-Bernays-Godel set theory axioms
% 1.49/1.57 include('Axioms/SET004-0.ax').
% 1.49/1.57 %----Include von Neuman-Bernays-Godel Boolean Algebra definitions
% 1.49/1.57 include('Axioms/SET004-1.ax').
% 1.49/1.57 %--------------------------------------------------------------------------
% 1.49/1.57 cnf(prove_corollary_to_X_product_property1_1,negated_conjecture,
% 1.49/1.57 member(u,x) ).
% 1.49/1.57
% 1.49/1.57 cnf(prove_corollary_to_X_product_property1_2,negated_conjecture,
% 1.49/1.57 member(v,y) ).
% 1.49/1.57
% 1.49/1.57 cnf(prove_corollary_to_X_product_property1_3,negated_conjecture,
% 1.49/1.57 ~ member(ordered_pair(u,v),cross_product(universal_class,universal_class)) ).
% 1.49/1.57
% 1.49/1.57 %--------------------------------------------------------------------------
% 1.49/1.57 %-------------------------------------------
% 1.49/1.57 % Proof found
% 1.49/1.57 % SZS status Theorem for theBenchmark
% 1.49/1.57 % SZS output start Proof
% 1.49/1.58 %ClaNum:145(EqnAxiom:47)
% 1.49/1.58 %VarNum:892(SingletonVarNum:186)
% 1.49/1.58 %MaxLitNum:5
% 1.49/1.58 %MaxfuncDepth:24
% 1.49/1.58 %SharedTerms:53
% 1.49/1.58 %goalClause: 51 52 70
% 1.49/1.58 %singleGoalClaCount:3
% 1.49/1.58 [48]P1(a1)
% 1.49/1.58 [49]P2(a2)
% 1.49/1.58 [50]P5(a1,a21)
% 1.49/1.58 [51]P5(a22,a30)
% 1.49/1.58 [52]P5(a31,a33)
% 1.49/1.58 [54]P7(a5,f6(a21,a21))
% 1.49/1.58 [55]P7(a23,f6(a21,a21))
% 1.49/1.58 [56]P7(a11,f6(a21,a21))
% 1.49/1.58 [60]P7(a10,f6(a21,f6(a21,a21)))
% 1.49/1.58 [61]P7(a3,f6(a21,f6(a21,a21)))
% 1.49/1.58 [70]~P5(f32(f32(a22,a22),f32(a22,f32(a31,a31))),f6(a21,a21))
% 1.49/1.58 [62]E(f16(f9(f8(a5,f9(a13))),a5),a24)
% 1.49/1.58 [66]E(f16(f12(f14(f6(a29,a21))),a29),a13)
% 1.49/1.58 [67]E(f16(f6(a21,a21),f16(f6(a21,a21),f9(f8(f9(a5),f12(f14(f6(a5,a21))))))),a29)
% 1.49/1.58 [53]P7(x531,a21)
% 1.49/1.58 [58]P7(f7(x581),f6(a21,a21))
% 1.49/1.58 [64]P7(f25(x641),f6(f6(a21,a21),a21))
% 1.49/1.58 [65]P7(f14(x651),f6(f6(a21,a21),a21))
% 1.49/1.58 [68]E(f16(f12(x681),f9(f12(f16(f8(f12(f14(f6(a5,a21))),x681),a13)))),f4(x681))
% 1.49/1.58 [69]E(f15(f17(f16(x691,f6(f12(f12(f14(f6(f16(f12(f14(f6(x691,a21))),f6(f32(f15(f17(f8(x691,f12(f14(f6(x691,a21)))),a13)),f15(f17(f8(x691,f12(f14(f6(x691,a21)))),a13))),a21)),a21)))),f32(f27(f17(f8(x691,f12(f14(f6(x691,a21)))),a13)),f27(f17(f8(x691,f12(f14(f6(x691,a21)))),a13))))),a20)),f28(x691))
% 1.49/1.58 [57]P5(f32(x571,x572),a21)
% 1.49/1.58 [59]P7(f8(x591,x592),f6(a21,a21))
% 1.49/1.58 [63]E(f16(f6(x631,x632),x633),f16(x633,f6(x631,x632)))
% 1.49/1.58 [71]~P8(x711)+P2(x711)
% 1.49/1.58 [72]~P9(x721)+P2(x721)
% 1.49/1.58 [75]~P1(x751)+P7(a1,x751)
% 1.49/1.58 [76]~P1(x761)+P5(a20,x761)
% 1.49/1.58 [78]P5(f26(x781),x781)+E(x781,a20)
% 1.49/1.58 [79]~P2(x791)+P7(x791,f6(a21,a21))
% 1.49/1.58 [77]E(x771,a20)+E(f16(x771,f26(x771)),a20)
% 1.49/1.58 [87]~P9(x871)+E(f6(f12(f12(x871)),f12(f12(x871))),f12(x871))
% 1.49/1.58 [99]~P8(x991)+P2(f12(f14(f6(x991,a21))))
% 1.49/1.58 [103]~P5(x1031,a21)+P5(f12(f16(a5,f6(a21,x1031))),a21)
% 1.49/1.58 [105]~P10(x1051)+P7(f8(x1051,f12(f14(f6(x1051,a21)))),a13)
% 1.49/1.58 [106]~P2(x1061)+P7(f8(x1061,f12(f14(f6(x1061,a21)))),a13)
% 1.49/1.58 [107]~P9(x1071)+P7(f12(f12(f14(f6(x1071,a21)))),f12(f12(x1071)))
% 1.49/1.58 [112]~P5(x1121,a21)+P5(f32(f32(x1121,x1121),f32(x1121,f32(f12(x1121),f12(x1121)))),a11)
% 1.49/1.58 [115]P10(x1151)+~P7(f8(x1151,f12(f14(f6(x1151,a21)))),a13)
% 1.49/1.58 [127]~P1(x1271)+P7(f12(f12(f14(f6(f16(a23,f6(x1271,a21)),a21)))),x1271)
% 1.49/1.58 [131]~P5(x1311,a21)+P5(f9(f12(f12(f14(f6(f16(a5,f6(f9(x1311),a21)),a21))))),a21)
% 1.49/1.58 [73]~E(x732,x731)+P7(x731,x732)
% 1.49/1.58 [74]~E(x741,x742)+P7(x741,x742)
% 1.49/1.58 [81]P7(x811,x812)+P5(f17(x811,x812),x811)
% 1.49/1.58 [82]~P5(x821,x822)+~P5(x821,f9(x822))
% 1.49/1.58 [85]~P5(x851,a21)+P5(x851,f32(x852,x851))
% 1.49/1.58 [86]~P5(x861,a21)+P5(x861,f32(x861,x862))
% 1.49/1.58 [91]P7(x911,x912)+~P5(f17(x911,x912),x912)
% 1.49/1.58 [102]~P5(x1022,f12(x1021))+~E(f16(x1021,f6(f32(x1022,x1022),a21)),a20)
% 1.49/1.58 [113]E(f12(x1131),x1132)+~P5(f32(f32(x1131,x1131),f32(x1131,f32(x1132,x1132))),a11)
% 1.49/1.58 [114]P5(x1141,x1142)+~P5(f32(f32(x1141,x1141),f32(x1141,f32(x1142,x1142))),a5)
% 1.49/1.58 [123]~P5(f32(f32(x1231,x1231),f32(x1231,f32(x1232,x1232))),a23)+E(f9(f16(f9(x1231),f9(f32(x1231,x1231)))),x1232)
% 1.49/1.58 [136]~P5(f32(f32(x1361,x1361),f32(x1361,f32(x1362,x1362))),f6(a21,a21))+P5(f32(f32(x1361,x1361),f32(x1361,f32(f32(f32(x1362,x1362),f32(x1362,f32(f8(x1361,x1362),f8(x1361,x1362)))),f32(f32(x1362,x1362),f32(x1362,f32(f8(x1361,x1362),f8(x1361,x1362))))))),a10)
% 1.49/1.58 [93]P2(x931)+~P3(x931,x932,x933)
% 1.49/1.58 [94]P2(x941)+~P6(x941,x942,x943)
% 1.49/1.58 [95]P9(x951)+~P4(x952,x953,x951)
% 1.49/1.58 [96]P9(x961)+~P4(x962,x961,x963)
% 1.49/1.58 [101]~P4(x1011,x1012,x1013)+P3(x1011,x1012,x1013)
% 1.49/1.58 [89]P5(x891,x892)+~P5(x891,f16(x893,x892))
% 1.49/1.58 [90]P5(x901,x902)+~P5(x901,f16(x902,x903))
% 1.49/1.58 [97]~P6(x971,x972,x973)+E(f12(x971),x972)
% 1.49/1.58 [98]~P3(x982,x981,x983)+E(f12(f12(x981)),f12(x982))
% 1.49/1.58 [116]E(f8(x1161,x1162),x1163)+~P5(f32(f32(x1162,x1162),f32(x1162,f32(x1163,x1163))),f7(x1161))
% 1.49/1.58 [108]~P5(x1081,f6(x1082,x1083))+E(f32(f32(f15(x1081),f15(x1081)),f32(f15(x1081),f32(f27(x1081),f27(x1081)))),x1081)
% 1.49/1.58 [110]~P6(x1101,x1103,x1102)+P7(f12(f12(f14(f6(x1101,a21)))),x1102)
% 1.49/1.58 [111]~P3(x1111,x1113,x1112)+P7(f12(f12(f14(f6(x1111,a21)))),f12(f12(x1112)))
% 1.49/1.58 [132]E(f8(x1321,x1322),x1323)+~P5(f32(f32(x1321,x1321),f32(x1321,f32(f32(f32(x1322,x1322),f32(x1322,f32(x1323,x1323))),f32(f32(x1322,x1322),f32(x1322,f32(x1323,x1323)))))),a10)
% 1.49/1.58 [133]P5(x1331,f12(x1332))+~P5(f32(f32(x1332,x1332),f32(x1332,f32(f32(f32(x1331,x1331),f32(x1331,f32(x1333,x1333))),f32(f32(x1331,x1331),f32(x1331,f32(x1333,x1333)))))),a3)
% 1.49/1.58 [139]~P5(f32(f32(x1391,x1391),f32(x1391,f32(f32(f32(x1392,x1392),f32(x1392,f32(x1393,x1393))),f32(f32(x1392,x1392),f32(x1392,f32(x1393,x1393)))))),a3)+E(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1391,f6(f32(x1392,x1392),a21)),a21))))))),x1393)
% 1.49/1.58 [117]P5(x1171,x1172)+~P5(f32(f32(x1173,x1173),f32(x1173,f32(x1171,x1171))),f6(x1174,x1172))
% 1.49/1.58 [118]P5(x1181,x1182)+~P5(f32(f32(x1181,x1181),f32(x1181,f32(x1183,x1183))),f6(x1182,x1184))
% 1.49/1.58 [134]~P5(f32(f32(f32(f32(x1343,x1343),f32(x1343,f32(x1341,x1341))),f32(f32(x1343,x1343),f32(x1343,f32(x1341,x1341)))),f32(f32(f32(x1343,x1343),f32(x1343,f32(x1341,x1341))),f32(x1342,x1342))),f25(x1344))+P5(f32(f32(f32(f32(x1341,x1341),f32(x1341,f32(x1342,x1342))),f32(f32(x1341,x1341),f32(x1341,f32(x1342,x1342)))),f32(f32(f32(x1341,x1341),f32(x1341,f32(x1342,x1342))),f32(x1343,x1343))),x1344)
% 1.49/1.58 [135]~P5(f32(f32(f32(f32(x1352,x1352),f32(x1352,f32(x1351,x1351))),f32(f32(x1352,x1352),f32(x1352,f32(x1351,x1351)))),f32(f32(f32(x1352,x1352),f32(x1352,f32(x1351,x1351))),f32(x1353,x1353))),f14(x1354))+P5(f32(f32(f32(f32(x1351,x1351),f32(x1351,f32(x1352,x1352))),f32(f32(x1351,x1351),f32(x1351,f32(x1352,x1352)))),f32(f32(f32(x1351,x1351),f32(x1351,f32(x1352,x1352))),f32(x1353,x1353))),x1354)
% 1.49/1.58 [141]~P5(f32(f32(x1414,x1414),f32(x1414,f32(x1411,x1411))),f8(x1412,x1413))+P5(x1411,f12(f12(f14(f6(f16(x1412,f6(f12(f12(f14(f6(f16(x1413,f6(f32(x1414,x1414),a21)),a21)))),a21)),a21)))))
% 1.49/1.58 [104]~P2(x1041)+P8(x1041)+~P2(f12(f14(f6(x1041,a21))))
% 1.49/1.58 [120]P2(x1201)+~P7(x1201,f6(a21,a21))+~P7(f8(x1201,f12(f14(f6(x1201,a21)))),a13)
% 1.49/1.58 [129]P1(x1291)+~P5(a20,x1291)+~P7(f12(f12(f14(f6(f16(a23,f6(x1291,a21)),a21)))),x1291)
% 1.49/1.58 [140]~P5(x1401,a21)+E(x1401,a20)+P5(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(a2,f6(f32(x1401,x1401),a21)),a21))))))),x1401)
% 1.49/1.58 [80]~P7(x802,x801)+~P7(x801,x802)+E(x801,x802)
% 1.49/1.58 [83]P5(x831,x832)+P5(x831,f9(x832))+~P5(x831,a21)
% 1.49/1.58 [100]P5(x1002,f12(x1001))+~P5(x1002,a21)+E(f16(x1001,f6(f32(x1002,x1002),a21)),a20)
% 1.49/1.58 [124]~P5(x1241,x1242)+~P5(f32(f32(x1241,x1241),f32(x1241,f32(x1242,x1242))),f6(a21,a21))+P5(f32(f32(x1241,x1241),f32(x1241,f32(x1242,x1242))),a5)
% 1.49/1.58 [119]~P2(x1191)+P6(x1191,f12(x1191),x1192)+~P7(f12(f12(f14(f6(x1191,a21)))),x1192)
% 1.49/1.58 [126]~P5(f32(f32(x1261,x1261),f32(x1261,f32(x1262,x1262))),f6(a21,a21))+~E(f9(f16(f9(x1261),f9(f32(x1261,x1261)))),x1262)+P5(f32(f32(x1261,x1261),f32(x1261,f32(x1262,x1262))),a23)
% 1.49/1.58 [128]~P2(x1281)+~P5(x1282,a21)+P5(f12(f12(f14(f6(f16(x1281,f6(x1282,a21)),a21)))),a21)
% 1.49/1.58 [84]~P5(x841,x843)+P5(x841,x842)+~P7(x843,x842)
% 1.49/1.58 [88]E(x881,x882)+E(x881,x883)+~P5(x881,f32(x883,x882))
% 1.49/1.58 [92]~P5(x921,x923)+~P5(x921,x922)+P5(x921,f16(x922,x923))
% 1.49/1.58 [125]~E(f8(x1253,x1251),x1252)+P5(f32(f32(x1251,x1251),f32(x1251,f32(x1252,x1252))),f7(x1253))+~P5(f32(f32(x1251,x1251),f32(x1251,f32(x1252,x1252))),f6(a21,a21))
% 1.49/1.58 [143]~P5(x1432,f12(x1431))+~P5(f32(f32(x1431,x1431),f32(x1431,f32(f32(f32(x1432,x1432),f32(x1432,f32(x1433,x1433))),f32(f32(x1432,x1432),f32(x1432,f32(x1433,x1433)))))),f6(a21,f6(a21,a21)))+P5(f32(f32(x1431,x1431),f32(x1431,f32(f32(f32(x1432,x1432),f32(x1432,f32(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1431,f6(f32(x1432,x1432),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1431,f6(f32(x1432,x1432),a21)),a21)))))))))),f32(f32(x1432,x1432),f32(x1432,f32(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1431,f6(f32(x1432,x1432),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1431,f6(f32(x1432,x1432),a21)),a21))))))))))))),a3)
% 1.49/1.58 [109]~P5(x1092,x1094)+~P5(x1091,x1093)+P5(f32(f32(x1091,x1091),f32(x1091,f32(x1092,x1092))),f6(x1093,x1094))
% 1.49/1.58 [137]~P5(f32(f32(f32(f32(x1372,x1372),f32(x1372,f32(x1373,x1373))),f32(f32(x1372,x1372),f32(x1372,f32(x1373,x1373)))),f32(f32(f32(x1372,x1372),f32(x1372,f32(x1373,x1373))),f32(x1371,x1371))),x1374)+P5(f32(f32(f32(f32(x1371,x1371),f32(x1371,f32(x1372,x1372))),f32(f32(x1371,x1371),f32(x1371,f32(x1372,x1372)))),f32(f32(f32(x1371,x1371),f32(x1371,f32(x1372,x1372))),f32(x1373,x1373))),f25(x1374))+~P5(f32(f32(f32(f32(x1371,x1371),f32(x1371,f32(x1372,x1372))),f32(f32(x1371,x1371),f32(x1371,f32(x1372,x1372)))),f32(f32(f32(x1371,x1371),f32(x1371,f32(x1372,x1372))),f32(x1373,x1373))),f6(f6(a21,a21),a21))
% 1.49/1.58 [138]~P5(f32(f32(f32(f32(x1382,x1382),f32(x1382,f32(x1381,x1381))),f32(f32(x1382,x1382),f32(x1382,f32(x1381,x1381)))),f32(f32(f32(x1382,x1382),f32(x1382,f32(x1381,x1381))),f32(x1383,x1383))),x1384)+P5(f32(f32(f32(f32(x1381,x1381),f32(x1381,f32(x1382,x1382))),f32(f32(x1381,x1381),f32(x1381,f32(x1382,x1382)))),f32(f32(f32(x1381,x1381),f32(x1381,f32(x1382,x1382))),f32(x1383,x1383))),f14(x1384))+~P5(f32(f32(f32(f32(x1381,x1381),f32(x1381,f32(x1382,x1382))),f32(f32(x1381,x1381),f32(x1381,f32(x1382,x1382)))),f32(f32(f32(x1381,x1381),f32(x1381,f32(x1382,x1382))),f32(x1383,x1383))),f6(f6(a21,a21),a21))
% 1.49/1.58 [142]P5(f32(f32(x1421,x1421),f32(x1421,f32(x1422,x1422))),f8(x1423,x1424))+~P5(f32(f32(x1421,x1421),f32(x1421,f32(x1422,x1422))),f6(a21,a21))+~P5(x1422,f12(f12(f14(f6(f16(x1423,f6(f12(f12(f14(f6(f16(x1424,f6(f32(x1421,x1421),a21)),a21)))),a21)),a21)))))
% 1.49/1.58 [144]~P4(x1442,x1445,x1441)+~P5(f32(f32(x1443,x1443),f32(x1443,f32(x1444,x1444))),f12(x1445))+E(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1441,f6(f32(f32(f32(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1442,f6(f32(x1443,x1443),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1442,f6(f32(x1443,x1443),a21)),a21)))))))),f32(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1442,f6(f32(x1443,x1443),a21)),a21))))))),f32(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1442,f6(f32(x1444,x1444),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1442,f6(f32(x1444,x1444),a21)),a21)))))))))),f32(f32(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1442,f6(f32(x1443,x1443),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1442,f6(f32(x1443,x1443),a21)),a21)))))))),f32(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1442,f6(f32(x1443,x1443),a21)),a21))))))),f32(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1442,f6(f32(x1444,x1444),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1442,f6(f32(x1444,x1444),a21)),a21))))))))))),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1442,f6(f32(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1445,f6(f32(f32(f32(x1443,x1443),f32(x1443,f32(x1444,x1444))),f32(f32(x1443,x1443),f32(x1443,f32(x1444,x1444)))),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1445,f6(f32(f32(f32(x1443,x1443),f32(x1443,f32(x1444,x1444))),f32(f32(x1443,x1443),f32(x1443,f32(x1444,x1444)))),a21)),a21)))))))),a21)),a21))))))))
% 1.49/1.58 [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)))
% 1.49/1.58 [121]~P2(x1211)+P3(x1211,x1212,x1213)+~E(f12(f12(x1212)),f12(x1211))+~P7(f12(f12(f14(f6(x1211,a21)))),f12(f12(x1213)))
% 1.49/1.58 [130]~P9(x1303)+~P9(x1302)+~P3(x1301,x1302,x1303)+P4(x1301,x1302,x1303)+P5(f32(f32(f18(x1301,x1302,x1303),f18(x1301,x1302,x1303)),f32(f18(x1301,x1302,x1303),f32(f19(x1301,x1302,x1303),f19(x1301,x1302,x1303)))),f12(x1302))
% 1.49/1.58 [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(f32(f32(f32(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1451,f6(f32(f18(x1451,x1452,x1453),f18(x1451,x1452,x1453)),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1451,f6(f32(f18(x1451,x1452,x1453),f18(x1451,x1452,x1453)),a21)),a21)))))))),f32(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1451,f6(f32(f18(x1451,x1452,x1453),f18(x1451,x1452,x1453)),a21)),a21))))))),f32(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1451,f6(f32(f19(x1451,x1452,x1453),f19(x1451,x1452,x1453)),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1451,f6(f32(f19(x1451,x1452,x1453),f19(x1451,x1452,x1453)),a21)),a21)))))))))),f32(f32(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1451,f6(f32(f18(x1451,x1452,x1453),f18(x1451,x1452,x1453)),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1451,f6(f32(f18(x1451,x1452,x1453),f18(x1451,x1452,x1453)),a21)),a21)))))))),f32(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1451,f6(f32(f18(x1451,x1452,x1453),f18(x1451,x1452,x1453)),a21)),a21))))))),f32(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1451,f6(f32(f19(x1451,x1452,x1453),f19(x1451,x1452,x1453)),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1451,f6(f32(f19(x1451,x1452,x1453),f19(x1451,x1452,x1453)),a21)),a21))))))))))),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1451,f6(f32(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1452,f6(f32(f32(f32(f18(x1451,x1452,x1453),f18(x1451,x1452,x1453)),f32(f18(x1451,x1452,x1453),f32(f19(x1451,x1452,x1453),f19(x1451,x1452,x1453)))),f32(f32(f18(x1451,x1452,x1453),f18(x1451,x1452,x1453)),f32(f18(x1451,x1452,x1453),f32(f19(x1451,x1452,x1453),f19(x1451,x1452,x1453))))),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1452,f6(f32(f32(f32(f18(x1451,x1452,x1453),f18(x1451,x1452,x1453)),f32(f18(x1451,x1452,x1453),f32(f19(x1451,x1452,x1453),f19(x1451,x1452,x1453)))),f32(f32(f18(x1451,x1452,x1453),f18(x1451,x1452,x1453)),f32(f18(x1451,x1452,x1453),f32(f19(x1451,x1452,x1453),f19(x1451,x1452,x1453))))),a21)),a21)))))))),a21)),a21))))))))
% 1.49/1.58 %EqnAxiom
% 1.49/1.58 [1]E(x11,x11)
% 1.49/1.58 [2]E(x22,x21)+~E(x21,x22)
% 1.49/1.58 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.49/1.58 [4]~E(x41,x42)+E(f6(x41,x43),f6(x42,x43))
% 1.49/1.58 [5]~E(x51,x52)+E(f6(x53,x51),f6(x53,x52))
% 1.49/1.58 [6]~E(x61,x62)+E(f12(x61),f12(x62))
% 1.49/1.58 [7]~E(x71,x72)+E(f16(x71,x73),f16(x72,x73))
% 1.49/1.58 [8]~E(x81,x82)+E(f16(x83,x81),f16(x83,x82))
% 1.49/1.58 [9]~E(x91,x92)+E(f32(x91,x93),f32(x92,x93))
% 1.49/1.58 [10]~E(x101,x102)+E(f32(x103,x101),f32(x103,x102))
% 1.49/1.58 [11]~E(x111,x112)+E(f7(x111),f7(x112))
% 1.49/1.58 [12]~E(x121,x122)+E(f8(x121,x123),f8(x122,x123))
% 1.49/1.58 [13]~E(x131,x132)+E(f8(x133,x131),f8(x133,x132))
% 1.49/1.58 [14]~E(x141,x142)+E(f14(x141),f14(x142))
% 1.49/1.58 [15]~E(x151,x152)+E(f27(x151),f27(x152))
% 1.49/1.58 [16]~E(x161,x162)+E(f9(x161),f9(x162))
% 1.49/1.58 [17]~E(x171,x172)+E(f15(x171),f15(x172))
% 1.49/1.58 [18]~E(x181,x182)+E(f26(x181),f26(x182))
% 1.49/1.58 [19]~E(x191,x192)+E(f18(x191,x193,x194),f18(x192,x193,x194))
% 1.49/1.58 [20]~E(x201,x202)+E(f18(x203,x201,x204),f18(x203,x202,x204))
% 1.49/1.58 [21]~E(x211,x212)+E(f18(x213,x214,x211),f18(x213,x214,x212))
% 1.49/1.58 [22]~E(x221,x222)+E(f17(x221,x223),f17(x222,x223))
% 1.49/1.58 [23]~E(x231,x232)+E(f17(x233,x231),f17(x233,x232))
% 1.49/1.58 [24]~E(x241,x242)+E(f19(x241,x243,x244),f19(x242,x243,x244))
% 1.49/1.58 [25]~E(x251,x252)+E(f19(x253,x251,x254),f19(x253,x252,x254))
% 1.49/1.58 [26]~E(x261,x262)+E(f19(x263,x264,x261),f19(x263,x264,x262))
% 1.49/1.58 [27]~E(x271,x272)+E(f25(x271),f25(x272))
% 1.49/1.58 [28]~E(x281,x282)+E(f4(x281),f4(x282))
% 1.49/1.58 [29]~E(x291,x292)+E(f28(x291),f28(x292))
% 1.49/1.58 [30]~P1(x301)+P1(x302)+~E(x301,x302)
% 1.49/1.58 [31]~P2(x311)+P2(x312)+~E(x311,x312)
% 1.49/1.58 [32]P5(x322,x323)+~E(x321,x322)+~P5(x321,x323)
% 1.49/1.58 [33]P5(x333,x332)+~E(x331,x332)+~P5(x333,x331)
% 1.49/1.58 [34]P3(x342,x343,x344)+~E(x341,x342)+~P3(x341,x343,x344)
% 1.49/1.58 [35]P3(x353,x352,x354)+~E(x351,x352)+~P3(x353,x351,x354)
% 1.49/1.58 [36]P3(x363,x364,x362)+~E(x361,x362)+~P3(x363,x364,x361)
% 1.49/1.58 [37]~P9(x371)+P9(x372)+~E(x371,x372)
% 1.49/1.58 [38]P7(x382,x383)+~E(x381,x382)+~P7(x381,x383)
% 1.49/1.58 [39]P7(x393,x392)+~E(x391,x392)+~P7(x393,x391)
% 1.49/1.58 [40]P6(x402,x403,x404)+~E(x401,x402)+~P6(x401,x403,x404)
% 1.49/1.58 [41]P6(x413,x412,x414)+~E(x411,x412)+~P6(x413,x411,x414)
% 1.49/1.58 [42]P6(x423,x424,x422)+~E(x421,x422)+~P6(x423,x424,x421)
% 1.49/1.58 [43]~P10(x431)+P10(x432)+~E(x431,x432)
% 1.49/1.58 [44]~P8(x441)+P8(x442)+~E(x441,x442)
% 1.49/1.58 [45]P4(x452,x453,x454)+~E(x451,x452)+~P4(x451,x453,x454)
% 1.49/1.58 [46]P4(x463,x462,x464)+~E(x461,x462)+~P4(x463,x461,x464)
% 1.49/1.58 [47]P4(x473,x474,x472)+~E(x471,x472)+~P4(x473,x474,x471)
% 1.49/1.58
% 1.49/1.58 %-------------------------------------------
% 1.49/1.59 cnf(146,plain,
% 1.49/1.59 (E(a13,f16(f12(f14(f6(a29,a21))),a29))),
% 1.49/1.59 inference(scs_inference,[],[66,2])).
% 1.49/1.59 cnf(147,plain,
% 1.49/1.59 (~E(a21,f6(a21,a21))),
% 1.49/1.59 inference(scs_inference,[],[66,70,57,2,33])).
% 1.49/1.59 cnf(149,plain,
% 1.49/1.59 (P5(a22,a21)),
% 1.49/1.59 inference(scs_inference,[],[51,53,66,70,57,2,33,84])).
% 1.49/1.59 cnf(150,plain,
% 1.49/1.59 (P7(x1501,a21)),
% 1.49/1.59 inference(rename_variables,[],[53])).
% 1.49/1.59 cnf(153,plain,
% 1.49/1.59 (P7(x1531,a21)),
% 1.49/1.59 inference(rename_variables,[],[53])).
% 1.49/1.59 cnf(155,plain,
% 1.49/1.59 (~P5(a31,a21)),
% 1.49/1.59 inference(scs_inference,[],[51,53,150,49,66,70,57,2,33,84,119,109])).
% 1.49/1.59 cnf(157,plain,
% 1.49/1.59 (P5(a20,a1)),
% 1.49/1.59 inference(scs_inference,[],[51,53,150,48,49,66,70,57,2,33,84,119,109,76])).
% 1.49/1.59 cnf(161,plain,
% 1.49/1.59 (P7(f16(f12(f14(f6(a29,a21))),a29),a13)),
% 1.49/1.59 inference(scs_inference,[],[51,53,150,48,49,66,70,57,2,33,84,119,109,76,75,74])).
% 1.49/1.59 cnf(181,plain,
% 1.49/1.59 (~P5(a22,f9(a30))),
% 1.49/1.59 inference(scs_inference,[],[51,53,150,48,49,50,66,70,57,2,33,84,119,109,76,75,74,73,79,131,127,103,90,89,86,85,82])).
% 1.49/1.59 cnf(184,plain,
% 1.49/1.59 (E(f4(f16(f12(f14(f6(a29,a21))),a29)),f4(a13))),
% 1.49/1.59 inference(scs_inference,[],[51,53,150,48,49,50,66,70,57,2,33,84,119,109,76,75,74,73,79,131,127,103,90,89,86,85,82,29,28])).
% 1.49/1.59 cnf(186,plain,
% 1.49/1.59 (E(f19(x1861,x1862,f16(f12(f14(f6(a29,a21))),a29)),f19(x1861,x1862,a13))),
% 1.49/1.59 inference(scs_inference,[],[51,53,150,48,49,50,66,70,57,2,33,84,119,109,76,75,74,73,79,131,127,103,90,89,86,85,82,29,28,27,26])).
% 1.49/1.59 cnf(187,plain,
% 1.49/1.59 (E(f19(x1871,f16(f12(f14(f6(a29,a21))),a29),x1872),f19(x1871,a13,x1872))),
% 1.49/1.59 inference(scs_inference,[],[51,53,150,48,49,50,66,70,57,2,33,84,119,109,76,75,74,73,79,131,127,103,90,89,86,85,82,29,28,27,26,25])).
% 1.49/1.59 cnf(209,plain,
% 1.49/1.59 (P7(f8(a2,f12(f14(f6(a2,a21)))),a13)),
% 1.49/1.59 inference(scs_inference,[],[51,53,150,48,49,50,66,70,57,2,33,84,119,109,76,75,74,73,79,131,127,103,90,89,86,85,82,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,106])).
% 1.49/1.59 cnf(211,plain,
% 1.49/1.59 (~P5(f32(f32(x2111,x2111),f32(x2111,f32(f32(f32(a22,a22),f32(a22,f32(a31,a31))),f32(f32(a22,a22),f32(a22,f32(a31,a31)))))),f6(x2112,f6(a21,a21)))),
% 1.49/1.59 inference(scs_inference,[],[51,53,150,48,49,50,66,70,57,2,33,84,119,109,76,75,74,73,79,131,127,103,90,89,86,85,82,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,106,117])).
% 1.49/1.59 cnf(213,plain,
% 1.49/1.59 (~P5(f32(f32(f32(f32(a22,a22),f32(a22,f32(a31,a31))),f32(f32(a22,a22),f32(a22,f32(a31,a31)))),f32(f32(f32(a22,a22),f32(a22,f32(a31,a31))),f32(x2131,x2131))),f6(f6(a21,a21),x2132))),
% 1.49/1.59 inference(scs_inference,[],[51,53,150,48,49,50,66,70,57,2,33,84,119,109,76,75,74,73,79,131,127,103,90,89,86,85,82,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,106,117,118])).
% 1.49/1.59 cnf(215,plain,
% 1.49/1.59 (~P5(f32(f32(f32(f32(a22,a22),f32(a22,f32(a31,a31))),f32(f32(a22,a22),f32(a22,f32(a31,a31)))),f32(f32(f32(a22,a22),f32(a22,f32(a31,a31))),f32(f6(a21,a21),f6(a21,a21)))),a5)),
% 1.49/1.59 inference(scs_inference,[],[51,53,150,48,49,50,66,70,57,2,33,84,119,109,76,75,74,73,79,131,127,103,90,89,86,85,82,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,106,117,118,114])).
% 1.49/1.59 cnf(217,plain,
% 1.49/1.59 (P5(f32(f32(a1,a1),f32(a1,f32(f12(a1),f12(a1)))),a11)),
% 1.49/1.59 inference(scs_inference,[],[51,53,150,48,49,50,66,70,57,2,33,84,119,109,76,75,74,73,79,131,127,103,90,89,86,85,82,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,106,117,118,114,112])).
% 1.49/1.59 cnf(219,plain,
% 1.49/1.59 (~P5(x2191,f6(a21,a21))+~E(x2191,f32(f32(a22,a22),f32(a22,f32(a31,a31))))),
% 1.49/1.59 inference(scs_inference,[],[51,53,150,48,49,50,66,70,57,2,33,84,119,109,76,75,74,73,79,131,127,103,90,89,86,85,82,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,106,117,118,114,112,32])).
% 1.49/1.59 cnf(220,plain,
% 1.49/1.59 (~P7(a21,f6(a21,a21))),
% 1.49/1.59 inference(scs_inference,[],[51,53,150,153,48,49,50,66,70,57,2,33,84,119,109,76,75,74,73,79,131,127,103,90,89,86,85,82,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,106,117,118,114,112,32,80])).
% 1.49/1.59 cnf(254,plain,
% 1.49/1.59 (~P5(f17(a21,f6(a21,a21)),f6(a21,a21))),
% 1.49/1.59 inference(scs_inference,[],[220,91])).
% 1.49/1.59 cnf(256,plain,
% 1.49/1.59 (P5(f17(a21,f6(a21,a21)),a21)),
% 1.49/1.59 inference(scs_inference,[],[220,91,81])).
% 1.49/1.59 cnf(259,plain,
% 1.49/1.59 (~P7(a30,f9(a30))),
% 1.49/1.59 inference(scs_inference,[],[51,56,220,181,91,81,38,84])).
% 1.49/1.59 cnf(263,plain,
% 1.49/1.59 (~E(a30,f9(a30))),
% 1.49/1.59 inference(scs_inference,[],[51,56,57,49,220,181,91,81,38,84,128,74])).
% 1.49/1.59 cnf(272,plain,
% 1.49/1.59 (P5(f32(x2721,x2722),a21)),
% 1.49/1.59 inference(rename_variables,[],[57])).
% 1.49/1.59 cnf(276,plain,
% 1.49/1.59 (~P5(a21,f32(f6(a21,a21),f6(a21,a21)))),
% 1.49/1.59 inference(scs_inference,[],[51,56,57,49,70,186,187,147,220,146,161,181,91,81,38,84,128,74,73,39,3,83,92,88])).
% 1.49/1.59 cnf(283,plain,
% 1.49/1.59 (~E(a21,a5)),
% 1.49/1.59 inference(scs_inference,[],[51,56,57,272,49,70,186,187,147,220,215,146,161,181,91,81,38,84,128,74,73,39,3,83,92,88,109,79,2,33])).
% 1.49/1.59 cnf(285,plain,
% 1.49/1.59 (~P3(a21,x2851,x2852)),
% 1.49/1.59 inference(scs_inference,[],[51,56,57,272,49,70,186,187,147,220,215,146,161,181,91,81,38,84,128,74,73,39,3,83,92,88,109,79,2,33,93])).
% 1.49/1.59 cnf(291,plain,
% 1.49/1.59 (~E(a2,a21)),
% 1.49/1.59 inference(scs_inference,[],[51,56,57,272,49,70,186,187,147,220,215,146,161,181,91,81,38,84,128,74,73,39,3,83,92,88,109,79,2,33,93,72,71,31])).
% 1.49/1.59 cnf(296,plain,
% 1.49/1.59 (E(f32(f32(f15(f32(f32(a22,a22),f32(a22,f32(a22,a22)))),f15(f32(f32(a22,a22),f32(a22,f32(a22,a22))))),f32(f15(f32(f32(a22,a22),f32(a22,f32(a22,a22)))),f32(f27(f32(f32(a22,a22),f32(a22,f32(a22,a22)))),f27(f32(f32(a22,a22),f32(a22,f32(a22,a22))))))),f32(f32(a22,a22),f32(a22,f32(a22,a22))))),
% 1.49/1.59 inference(scs_inference,[],[51,56,57,272,48,49,50,70,186,187,147,220,215,146,161,181,155,91,81,38,84,128,74,73,39,3,83,92,88,109,79,2,33,93,72,71,31,30,94,32,108])).
% 1.49/1.59 cnf(314,plain,
% 1.49/1.59 (~P5(f32(f32(a22,a22),f32(a22,f32(a31,a31))),a23)),
% 1.49/1.59 inference(scs_inference,[],[55,67,70,285,220,101,38,73,84])).
% 1.49/1.59 cnf(316,plain,
% 1.49/1.59 (P7(f16(f6(a21,a21),f16(f6(a21,a21),f9(f8(f9(a5),f12(f14(f6(a5,a21))))))),a29)),
% 1.49/1.59 inference(scs_inference,[],[55,67,70,285,220,101,38,73,84,74])).
% 1.49/1.59 cnf(318,plain,
% 1.49/1.59 (~P7(a21,a2)),
% 1.49/1.59 inference(scs_inference,[],[55,67,53,70,291,285,220,101,38,73,84,74,80])).
% 1.49/1.59 cnf(319,plain,
% 1.49/1.59 (P7(x3191,a21)),
% 1.49/1.59 inference(rename_variables,[],[53])).
% 1.49/1.59 cnf(321,plain,
% 1.49/1.59 (~E(a21,f9(a30))),
% 1.49/1.59 inference(scs_inference,[],[55,67,53,319,70,291,259,285,220,101,38,73,84,74,80,39])).
% 1.49/1.59 cnf(323,plain,
% 1.49/1.59 (E(a29,f16(f6(a21,a21),f16(f6(a21,a21),f9(f8(f9(a5),f12(f14(f6(a5,a21))))))))),
% 1.49/1.59 inference(scs_inference,[],[55,67,53,319,70,291,259,285,220,101,38,73,84,74,80,39,2])).
% 1.49/1.59 cnf(348,plain,
% 1.49/1.59 (~E(a21,a2)),
% 1.49/1.59 inference(scs_inference,[],[53,321,318,259,73,80,74])).
% 1.49/1.59 cnf(374,plain,
% 1.49/1.59 (P5(f32(f32(a1,a1),f32(a1,f32(f12(a1),f12(a1)))),f6(a21,a21))),
% 1.49/1.59 inference(scs_inference,[],[62,56,68,184,217,74,73,80,3,84])).
% 1.49/1.59 cnf(376,plain,
% 1.49/1.59 (~E(f32(f32(a1,a1),f32(a1,f32(f12(a1),f12(a1)))),f32(f32(a22,a22),f32(a22,f32(a31,a31))))),
% 1.49/1.59 inference(scs_inference,[],[70,62,56,68,184,217,74,73,80,3,84,32])).
% 1.49/1.59 cnf(378,plain,
% 1.49/1.59 (P5(f32(x3781,x3782),a21)),
% 1.49/1.59 inference(rename_variables,[],[57])).
% 1.49/1.59 cnf(380,plain,
% 1.49/1.59 (E(f16(x3801,f6(x3802,x3803)),f16(f6(x3802,x3803),x3801))),
% 1.49/1.59 inference(scs_inference,[],[70,62,63,56,57,68,184,316,323,314,217,74,73,80,3,84,32,33,39,2])).
% 1.49/1.59 cnf(381,plain,
% 1.49/1.59 (P5(f32(f32(a1,a1),f32(a1,f32(f32(f32(f12(a1),f12(a1)),f32(f12(a1),f32(f8(a1,f12(a1)),f8(a1,f12(a1))))),f32(f32(f12(a1),f12(a1)),f32(f12(a1),f32(f8(a1,f12(a1)),f8(a1,f12(a1)))))))),a10)),
% 1.49/1.59 inference(scs_inference,[],[70,62,63,56,57,68,184,316,323,314,217,74,73,80,3,84,32,33,39,2,136])).
% 1.49/1.59 cnf(383,plain,
% 1.49/1.59 (P5(f32(x3831,x3832),f32(f32(x3831,x3832),x3833))),
% 1.49/1.59 inference(scs_inference,[],[70,62,63,56,57,378,68,184,316,323,314,217,74,73,80,3,84,32,33,39,2,136,86])).
% 1.49/1.59 cnf(385,plain,
% 1.49/1.59 (P10(a2)),
% 1.49/1.59 inference(scs_inference,[],[70,62,63,56,57,378,68,184,316,323,314,217,209,74,73,80,3,84,32,33,39,2,136,86,115])).
% 1.49/1.59 cnf(392,plain,
% 1.49/1.59 (~P5(f32(f32(x3921,x3921),f32(x3921,f32(f32(f32(a22,a22),f32(a22,f32(a31,a31))),f32(f32(a22,a22),f32(a22,f32(a31,a31)))))),f6(x3922,f6(a21,a21)))),
% 1.49/1.59 inference(rename_variables,[],[211])).
% 1.49/1.59 cnf(395,plain,
% 1.49/1.59 (~P5(f32(f32(x3951,x3951),f32(x3951,f32(f32(f32(a22,a22),f32(a22,f32(a31,a31))),f32(f32(a22,a22),f32(a22,f32(a31,a31)))))),f6(x3952,f6(a21,a21)))),
% 1.49/1.59 inference(rename_variables,[],[211])).
% 1.49/1.59 cnf(412,plain,
% 1.49/1.59 (E(f19(x4121,a13,x4122),f19(x4121,f16(f12(f14(f6(a29,a21))),a29),x4122))),
% 1.49/1.59 inference(scs_inference,[],[70,146,62,63,56,57,378,68,211,392,395,184,316,323,314,217,209,74,73,80,3,84,32,33,39,2,136,86,115,114,112,135,134,90,131,103,85,29,28,17,14,11,125,25])).
% 1.49/1.59 cnf(413,plain,
% 1.49/1.59 (E(f19(a13,x4131,x4132),f19(f16(f12(f14(f6(a29,a21))),a29),x4131,x4132))),
% 1.49/1.59 inference(scs_inference,[],[70,146,62,63,56,57,378,68,211,392,395,184,316,323,314,217,209,74,73,80,3,84,32,33,39,2,136,86,115,114,112,135,134,90,131,103,85,29,28,17,14,11,125,25,24])).
% 1.49/1.59 cnf(416,plain,
% 1.49/1.59 (E(f8(x4161,a13),f8(x4161,f16(f12(f14(f6(a29,a21))),a29)))),
% 1.49/1.59 inference(scs_inference,[],[70,146,62,63,56,57,378,68,211,392,395,184,316,323,314,217,209,74,73,80,3,84,32,33,39,2,136,86,115,114,112,135,134,90,131,103,85,29,28,17,14,11,125,25,24,21,20,13])).
% 1.49/1.59 cnf(418,plain,
% 1.49/1.59 (E(f32(x4181,a13),f32(x4181,f16(f12(f14(f6(a29,a21))),a29)))),
% 1.49/1.59 inference(scs_inference,[],[70,146,62,63,56,57,378,68,211,392,395,184,316,323,314,217,209,74,73,80,3,84,32,33,39,2,136,86,115,114,112,135,134,90,131,103,85,29,28,17,14,11,125,25,24,21,20,13,12,10])).
% 1.49/1.59 cnf(424,plain,
% 1.49/1.59 (~P5(f32(x4241,x4242),f9(a21))),
% 1.49/1.59 inference(scs_inference,[],[70,146,62,63,56,57,378,68,211,392,395,184,316,323,314,217,209,74,73,80,3,84,32,33,39,2,136,86,115,114,112,135,134,90,131,103,85,29,28,17,14,11,125,25,24,21,20,13,12,10,9,5,4,89,82])).
% 1.49/1.59 cnf(426,plain,
% 1.49/1.59 (~P5(f32(f32(x4261,x4261),f32(x4261,f32(f32(f32(x4262,x4262),f32(x4262,f32(f32(f32(a22,a22),f32(a22,f32(a31,a31))),f32(f32(a22,a22),f32(a22,f32(a31,a31)))))),f32(f32(x4262,x4262),f32(x4262,f32(f32(f32(a22,a22),f32(a22,f32(a31,a31))),f32(f32(a22,a22),f32(a22,f32(a31,a31))))))))),f6(x4263,f6(x4264,f6(a21,a21))))),
% 1.49/1.59 inference(scs_inference,[],[70,146,62,63,56,57,378,68,211,392,395,184,316,323,314,217,209,74,73,80,3,84,32,33,39,2,136,86,115,114,112,135,134,90,131,103,85,29,28,17,14,11,125,25,24,21,20,13,12,10,9,5,4,89,82,117])).
% 1.49/1.59 cnf(451,plain,
% 1.49/1.59 (~E(f7(x4511),a21)),
% 1.49/1.59 inference(scs_inference,[],[58,374,220,117,38])).
% 1.49/1.59 cnf(452,plain,
% 1.49/1.59 (~P5(f32(f32(a22,a22),f32(a22,f32(a31,a31))),f7(x4521))),
% 1.49/1.59 inference(scs_inference,[],[70,58,374,220,117,38,84])).
% 1.49/1.59 cnf(457,plain,
% 1.49/1.59 (P5(f32(x4571,x4572),f32(f32(x4571,x4572),x4573))),
% 1.49/1.59 inference(rename_variables,[],[383])).
% 1.49/1.59 cnf(460,plain,
% 1.49/1.59 (~E(f32(f32(a22,a22),f32(a22,f32(a31,a31))),f32(f32(a1,a1),f32(a1,f32(f12(a1),f12(a1)))))),
% 1.49/1.59 inference(scs_inference,[],[70,58,67,380,383,457,376,374,418,296,220,117,38,84,3,32,33,2])).
% 1.49/1.59 cnf(462,plain,
% 1.49/1.59 (E(f32(f32(f15(f32(f32(a1,a1),f32(a1,f32(f12(a1),f12(a1))))),f15(f32(f32(a1,a1),f32(a1,f32(f12(a1),f12(a1)))))),f32(f15(f32(f32(a1,a1),f32(a1,f32(f12(a1),f12(a1))))),f32(f27(f32(f32(a1,a1),f32(a1,f32(f12(a1),f12(a1))))),f27(f32(f32(a1,a1),f32(a1,f32(f12(a1),f12(a1)))))))),f32(f32(a1,a1),f32(a1,f32(f12(a1),f12(a1)))))),
% 1.49/1.59 inference(scs_inference,[],[70,58,67,380,383,457,376,374,418,385,296,220,117,38,84,3,32,33,2,43,108])).
% 1.49/1.59 cnf(488,plain,
% 1.49/1.59 (P5(f32(f32(a22,a22),f32(a22,f32(a22,a22))),f6(a21,a21))),
% 1.49/1.59 inference(scs_inference,[],[149,348,88,109])).
% 1.49/1.59 cnf(492,plain,
% 1.49/1.59 (~P5(f32(f32(x4921,x4921),f32(x4921,f32(f32(f32(a22,a22),f32(a22,f32(a31,a31))),f32(f32(a22,a22),f32(a22,f32(a31,a31)))))),f6(x4922,f7(x4923)))),
% 1.49/1.59 inference(scs_inference,[],[149,49,452,348,88,109,128,117])).
% 1.49/1.59 cnf(501,plain,
% 1.49/1.59 (P5(f32(f32(a1,a1),f32(a1,f32(f32(f32(f12(a1),f12(a1)),f32(f12(a1),f32(f8(a1,f12(a1)),f8(a1,f12(a1))))),f32(f32(f12(a1),f12(a1)),f32(f12(a1),f32(f8(a1,f12(a1)),f8(a1,f12(a1)))))))),f6(a21,f6(a21,a21)))),
% 1.49/1.59 inference(scs_inference,[],[60,149,53,49,452,348,283,381,181,88,109,128,117,83,92,80,84])).
% 1.49/1.59 cnf(510,plain,
% 1.49/1.59 (~E(f32(f32(a22,a22),f32(a22,f32(a22,a22))),f32(f32(a22,a22),f32(a22,f32(a31,a31))))),
% 1.49/1.59 inference(scs_inference,[],[60,149,54,53,57,68,49,452,462,348,460,283,381,181,220,88,109,128,117,83,92,80,84,38,3,33,2,124,219])).
% 1.49/1.59 cnf(514,plain,
% 1.49/1.59 (~E(f32(a22,f32(a22,a22)),f32(a22,f32(a31,a31)))),
% 1.49/1.59 inference(scs_inference,[],[60,149,54,63,53,57,68,49,452,462,348,460,283,381,416,181,220,88,109,128,117,83,92,80,84,38,3,33,2,124,219,34,125,10])).
% 1.49/1.59 cnf(519,plain,
% 1.49/1.59 (P5(f32(f32(f12(a1),f12(a1)),f32(f12(a1),f32(f8(a1,f12(a1)),f8(a1,f12(a1))))),f6(a21,a21))),
% 1.49/1.59 inference(scs_inference,[],[501,117])).
% 1.49/1.59 cnf(522,plain,
% 1.49/1.59 (P5(f32(x5221,x5222),a21)),
% 1.49/1.59 inference(rename_variables,[],[57])).
% 1.49/1.59 cnf(526,plain,
% 1.49/1.59 (P5(f32(x5261,x5262),a21)),
% 1.49/1.59 inference(rename_variables,[],[57])).
% 1.49/1.59 cnf(534,plain,
% 1.49/1.59 (~E(f32(f32(a22,a22),f32(a22,f32(a31,a31))),f32(f32(a22,a22),f32(a22,f32(a22,a22))))),
% 1.49/1.59 inference(scs_inference,[],[62,57,522,526,492,488,510,501,254,424,412,413,117,83,10,84,32,3,33,2])).
% 1.49/1.59 cnf(548,plain,
% 1.49/1.59 (~E(f32(a22,f32(a31,a31)),f32(a22,f32(a22,a22)))),
% 1.49/1.59 inference(scs_inference,[],[534,276,256,254,117,83,10])).
% 1.49/1.59 cnf(553,plain,
% 1.49/1.59 (~P7(a21,f6(x5531,f6(x5532,f6(a21,a21))))),
% 1.49/1.59 inference(scs_inference,[],[63,57,534,276,426,256,254,117,83,10,74,73,84])).
% 1.49/1.59 cnf(656,plain,
% 1.49/1.59 (~P5(f32(f32(f32(f32(a22,a22),f32(a22,f32(a31,a31))),f32(f32(a22,a22),f32(a22,f32(a31,a31)))),f32(f32(f32(a22,a22),f32(a22,f32(a31,a31))),f32(x6561,x6561))),f25(x6562))),
% 1.49/1.59 inference(scs_inference,[],[64,67,53,548,451,553,213,519,88,117,80,10,74,73,84])).
% 1.49/1.59 cnf(701,plain,
% 1.49/1.59 (~P7(a21,f25(x7011))),
% 1.49/1.59 inference(scs_inference,[],[155,68,57,656,514,263,88,117,73,74,10,84])).
% 1.49/1.59 cnf(731,plain,
% 1.49/1.59 ($false),
% 1.49/1.59 inference(scs_inference,[],[53,157,155,701,52,92,73,74,84]),
% 1.49/1.59 ['proof']).
% 1.49/1.59 % SZS output end Proof
% 1.49/1.59 % Total time :0.970000s
%------------------------------------------------------------------------------