TSTP Solution File: SET242-6 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET242-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n022.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 14:29:21 EDT 2023
% Result : Unsatisfiable 0.19s 0.69s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET242-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.35 % Computer : n022.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Sat Aug 26 08:33:40 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.19/0.62 start to proof:theBenchmark
% 0.19/0.68 %-------------------------------------------
% 0.19/0.68 % File :CSE---1.6
% 0.19/0.68 % Problem :theBenchmark
% 0.19/0.68 % Transform :cnf
% 0.19/0.68 % Format :tptp:raw
% 0.19/0.68 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.69
% 0.19/0.69 % Result :Theorem 0.010000s
% 0.19/0.69 % Output :CNFRefutation 0.010000s
% 0.19/0.69 %-------------------------------------------
% 0.19/0.69 %--------------------------------------------------------------------------
% 0.19/0.69 % File : SET242-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.19/0.69 % Domain : Set Theory
% 0.19/0.69 % Problem : Restriction alternate definition 5
% 0.19/0.69 % Version : [Qua92] axioms.
% 0.19/0.69 % English :
% 0.19/0.69
% 0.19/0.69 % Refs : [BL+86] Boyer et al. (1986), Set Theory in First-Order Logic:
% 0.19/0.69 % : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 0.19/0.69 % Source : [Quaife]
% 0.19/0.69 % Names : RS4 [Qua92]
% 0.19/0.69
% 0.19/0.69 % Status : Unsatisfiable
% 0.19/0.69 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.2.0, 0.00 v7.0.0, 0.27 v6.4.0, 0.20 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.00 v5.5.0, 0.35 v5.3.0, 0.39 v5.2.0, 0.31 v5.1.0, 0.35 v5.0.0, 0.29 v4.1.0, 0.31 v4.0.1, 0.45 v3.7.0, 0.20 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, 0.17 v2.6.0, 0.00 v2.5.0, 0.09 v2.4.0, 0.00 v2.1.0
% 0.19/0.69 % Syntax : Number of clauses : 115 ( 40 unt; 8 nHn; 82 RR)
% 0.19/0.69 % Number of literals : 221 ( 49 equ; 101 neg)
% 0.19/0.69 % Maximal clause size : 5 ( 1 avg)
% 0.19/0.69 % Maximal term depth : 6 ( 2 avg)
% 0.19/0.69 % Number of predicates : 11 ( 10 usr; 0 prp; 1-3 aty)
% 0.19/0.69 % Number of functors : 50 ( 50 usr; 16 con; 0-3 aty)
% 0.19/0.69 % Number of variables : 214 ( 32 sgn)
% 0.19/0.69 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.19/0.69
% 0.19/0.69 % Comments : Quaife proves all these problems by augmenting the axioms with
% 0.19/0.69 % all previously proved theorems. With a few exceptions (the
% 0.19/0.69 % problems that correspond to [BL+86] problems), the TPTP has
% 0.19/0.69 % retained the order in which Quaife presents the problems. The
% 0.19/0.69 % user may create an augmented version of this problem by adding
% 0.19/0.69 % all previously proved theorems (the ones that correspond to
% 0.19/0.69 % [BL+86] are easily identified and positioned using Quaife's
% 0.19/0.69 % naming scheme).
% 0.19/0.69 % : This formulation is slightly different from that in [Qua92].
% 0.19/0.69 % This is from [Quaife].
% 0.19/0.69 % Bugfixes : v1.0.1 - Bugfix in SET004-1.ax.
% 0.19/0.69 % : v2.1.0 - Bugfix in SET004-0.ax.
% 0.19/0.69 %--------------------------------------------------------------------------
% 0.19/0.69 %----Include von Neuman-Bernays-Godel set theory axioms
% 0.19/0.69 include('Axioms/SET004-0.ax').
% 0.19/0.69 %----Include von Neuman-Bernays-Godel Boolean Algebra definitions
% 0.19/0.69 include('Axioms/SET004-1.ax').
% 0.19/0.69 %--------------------------------------------------------------------------
% 0.19/0.69 cnf(prove_restriction_alternate_defn5_1,negated_conjecture,
% 0.19/0.69 member(z,xr) ).
% 0.19/0.69
% 0.19/0.69 cnf(prove_restriction_alternate_defn5_2,negated_conjecture,
% 0.19/0.69 member(z,cross_product(x,y)) ).
% 0.19/0.69
% 0.19/0.69 cnf(prove_restriction_alternate_defn5_3,negated_conjecture,
% 0.19/0.69 ~ member(z,restrict(xr,x,y)) ).
% 0.19/0.69
% 0.19/0.69 %--------------------------------------------------------------------------
% 0.19/0.69 %-------------------------------------------
% 0.19/0.69 % Proof found
% 0.19/0.69 % SZS status Theorem for theBenchmark
% 0.19/0.69 % SZS output start Proof
% 0.19/0.70 %ClaNum:145(EqnAxiom:47)
% 0.19/0.70 %VarNum:892(SingletonVarNum:186)
% 0.19/0.70 %MaxLitNum:5
% 0.19/0.70 %MaxfuncDepth:24
% 0.19/0.70 %SharedTerms:51
% 0.19/0.70 %goalClause: 51 56 70
% 0.19/0.70 %singleGoalClaCount:3
% 0.19/0.70 [48]P1(a1)
% 0.19/0.70 [49]P2(a2)
% 0.19/0.70 [50]P5(a1,a21)
% 0.19/0.70 [51]P5(a29,a30)
% 0.19/0.70 [53]P7(a5,f6(a21,a21))
% 0.19/0.70 [54]P7(a22,f6(a21,a21))
% 0.19/0.70 [55]P7(a11,f6(a21,a21))
% 0.19/0.70 [56]P5(a29,f6(a31,a33))
% 0.19/0.70 [60]P7(a10,f6(a21,f6(a21,a21)))
% 0.19/0.70 [61]P7(a3,f6(a21,f6(a21,a21)))
% 0.19/0.70 [70]~P5(a29,f16(a30,f6(a31,a33)))
% 0.19/0.70 [62]E(f16(f9(f8(a5,f9(a13))),a5),a23)
% 0.19/0.70 [66]E(f16(f12(f14(f6(a28,a21))),a28),a13)
% 0.19/0.70 [67]E(f16(f6(a21,a21),f16(f6(a21,a21),f9(f8(f9(a5),f12(f14(f6(a5,a21))))))),a28)
% 0.19/0.70 [52]P7(x521,a21)
% 0.19/0.70 [58]P7(f7(x581),f6(a21,a21))
% 0.19/0.70 [64]P7(f24(x641),f6(f6(a21,a21),a21))
% 0.19/0.70 [65]P7(f14(x651),f6(f6(a21,a21),a21))
% 0.19/0.70 [68]E(f16(f12(x681),f9(f12(f16(f8(f12(f14(f6(a5,a21))),x681),a13)))),f4(x681))
% 0.19/0.70 [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(f26(f17(f8(x691,f12(f14(f6(x691,a21)))),a13)),f26(f17(f8(x691,f12(f14(f6(x691,a21)))),a13))))),a20)),f27(x691))
% 0.19/0.70 [57]P5(f32(x571,x572),a21)
% 0.19/0.70 [59]P7(f8(x591,x592),f6(a21,a21))
% 0.19/0.70 [63]E(f16(f6(x631,x632),x633),f16(x633,f6(x631,x632)))
% 0.19/0.70 [71]~P8(x711)+P2(x711)
% 0.19/0.70 [72]~P9(x721)+P2(x721)
% 0.19/0.70 [75]~P1(x751)+P7(a1,x751)
% 0.19/0.70 [76]~P1(x761)+P5(a20,x761)
% 0.19/0.70 [78]P5(f25(x781),x781)+E(x781,a20)
% 0.19/0.70 [79]~P2(x791)+P7(x791,f6(a21,a21))
% 0.19/0.70 [77]E(x771,a20)+E(f16(x771,f25(x771)),a20)
% 0.19/0.70 [87]~P9(x871)+E(f6(f12(f12(x871)),f12(f12(x871))),f12(x871))
% 0.19/0.70 [99]~P8(x991)+P2(f12(f14(f6(x991,a21))))
% 0.19/0.70 [103]~P5(x1031,a21)+P5(f12(f16(a5,f6(a21,x1031))),a21)
% 0.19/0.70 [105]~P10(x1051)+P7(f8(x1051,f12(f14(f6(x1051,a21)))),a13)
% 0.19/0.70 [106]~P2(x1061)+P7(f8(x1061,f12(f14(f6(x1061,a21)))),a13)
% 0.19/0.70 [107]~P9(x1071)+P7(f12(f12(f14(f6(x1071,a21)))),f12(f12(x1071)))
% 0.19/0.70 [112]~P5(x1121,a21)+P5(f32(f32(x1121,x1121),f32(x1121,f32(f12(x1121),f12(x1121)))),a11)
% 0.19/0.70 [115]P10(x1151)+~P7(f8(x1151,f12(f14(f6(x1151,a21)))),a13)
% 0.19/0.70 [127]~P1(x1271)+P7(f12(f12(f14(f6(f16(a22,f6(x1271,a21)),a21)))),x1271)
% 0.19/0.70 [131]~P5(x1311,a21)+P5(f9(f12(f12(f14(f6(f16(a5,f6(f9(x1311),a21)),a21))))),a21)
% 0.19/0.70 [73]~E(x732,x731)+P7(x731,x732)
% 0.19/0.70 [74]~E(x741,x742)+P7(x741,x742)
% 0.19/0.70 [81]P7(x811,x812)+P5(f17(x811,x812),x811)
% 0.19/0.70 [82]~P5(x821,x822)+~P5(x821,f9(x822))
% 0.19/0.70 [85]~P5(x851,a21)+P5(x851,f32(x852,x851))
% 0.19/0.70 [86]~P5(x861,a21)+P5(x861,f32(x861,x862))
% 0.19/0.70 [91]P7(x911,x912)+~P5(f17(x911,x912),x912)
% 0.19/0.70 [102]~P5(x1022,f12(x1021))+~E(f16(x1021,f6(f32(x1022,x1022),a21)),a20)
% 0.19/0.70 [113]E(f12(x1131),x1132)+~P5(f32(f32(x1131,x1131),f32(x1131,f32(x1132,x1132))),a11)
% 0.19/0.70 [114]P5(x1141,x1142)+~P5(f32(f32(x1141,x1141),f32(x1141,f32(x1142,x1142))),a5)
% 0.19/0.70 [123]~P5(f32(f32(x1231,x1231),f32(x1231,f32(x1232,x1232))),a22)+E(f9(f16(f9(x1231),f9(f32(x1231,x1231)))),x1232)
% 0.19/0.70 [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)
% 0.19/0.70 [93]P2(x931)+~P3(x931,x932,x933)
% 0.19/0.70 [94]P2(x941)+~P6(x941,x942,x943)
% 0.19/0.70 [95]P9(x951)+~P4(x952,x953,x951)
% 0.19/0.70 [96]P9(x961)+~P4(x962,x961,x963)
% 0.19/0.70 [101]~P4(x1011,x1012,x1013)+P3(x1011,x1012,x1013)
% 0.19/0.70 [89]P5(x891,x892)+~P5(x891,f16(x893,x892))
% 0.19/0.70 [90]P5(x901,x902)+~P5(x901,f16(x902,x903))
% 0.19/0.70 [97]~P6(x971,x972,x973)+E(f12(x971),x972)
% 0.19/0.70 [98]~P3(x982,x981,x983)+E(f12(f12(x981)),f12(x982))
% 0.19/0.70 [116]E(f8(x1161,x1162),x1163)+~P5(f32(f32(x1162,x1162),f32(x1162,f32(x1163,x1163))),f7(x1161))
% 0.19/0.70 [108]~P5(x1081,f6(x1082,x1083))+E(f32(f32(f15(x1081),f15(x1081)),f32(f15(x1081),f32(f26(x1081),f26(x1081)))),x1081)
% 0.19/0.70 [110]~P6(x1101,x1103,x1102)+P7(f12(f12(f14(f6(x1101,a21)))),x1102)
% 0.19/0.70 [111]~P3(x1111,x1113,x1112)+P7(f12(f12(f14(f6(x1111,a21)))),f12(f12(x1112)))
% 0.19/0.70 [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)
% 0.19/0.70 [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)
% 0.19/0.70 [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)
% 0.19/0.70 [117]P5(x1171,x1172)+~P5(f32(f32(x1173,x1173),f32(x1173,f32(x1171,x1171))),f6(x1174,x1172))
% 0.19/0.70 [118]P5(x1181,x1182)+~P5(f32(f32(x1181,x1181),f32(x1181,f32(x1183,x1183))),f6(x1182,x1184))
% 0.19/0.70 [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))),f24(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)
% 0.19/0.70 [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)
% 0.19/0.70 [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)))))
% 0.19/0.70 [104]~P2(x1041)+P8(x1041)+~P2(f12(f14(f6(x1041,a21))))
% 0.19/0.70 [120]P2(x1201)+~P7(x1201,f6(a21,a21))+~P7(f8(x1201,f12(f14(f6(x1201,a21)))),a13)
% 0.19/0.70 [129]P1(x1291)+~P5(a20,x1291)+~P7(f12(f12(f14(f6(f16(a22,f6(x1291,a21)),a21)))),x1291)
% 0.19/0.70 [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)
% 0.19/0.70 [80]~P7(x802,x801)+~P7(x801,x802)+E(x801,x802)
% 0.19/0.70 [83]P5(x831,x832)+P5(x831,f9(x832))+~P5(x831,a21)
% 0.19/0.70 [100]P5(x1002,f12(x1001))+~P5(x1002,a21)+E(f16(x1001,f6(f32(x1002,x1002),a21)),a20)
% 0.19/0.70 [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)
% 0.19/0.70 [119]~P2(x1191)+P6(x1191,f12(x1191),x1192)+~P7(f12(f12(f14(f6(x1191,a21)))),x1192)
% 0.19/0.70 [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))),a22)
% 0.19/0.70 [128]~P2(x1281)+~P5(x1282,a21)+P5(f12(f12(f14(f6(f16(x1281,f6(x1282,a21)),a21)))),a21)
% 0.19/0.70 [84]~P5(x841,x843)+P5(x841,x842)+~P7(x843,x842)
% 0.19/0.70 [88]E(x881,x882)+E(x881,x883)+~P5(x881,f32(x883,x882))
% 0.19/0.70 [92]~P5(x921,x923)+~P5(x921,x922)+P5(x921,f16(x922,x923))
% 0.19/0.70 [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))
% 0.19/0.70 [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)
% 0.19/0.70 [109]~P5(x1092,x1094)+~P5(x1091,x1093)+P5(f32(f32(x1091,x1091),f32(x1091,f32(x1092,x1092))),f6(x1093,x1094))
% 0.19/0.70 [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))),f24(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))
% 0.19/0.70 [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))
% 0.19/0.70 [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)))))
% 0.19/0.70 [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))))))))
% 0.19/0.70 [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)))
% 0.19/0.70 [121]~P2(x1211)+P3(x1211,x1212,x1213)+~E(f12(f12(x1212)),f12(x1211))+~P7(f12(f12(f14(f6(x1211,a21)))),f12(f12(x1213)))
% 0.19/0.70 [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))
% 0.19/0.70 [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))))))))
% 0.19/0.70 %EqnAxiom
% 0.19/0.70 [1]E(x11,x11)
% 0.19/0.70 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.70 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.70 [4]~E(x41,x42)+E(f6(x41,x43),f6(x42,x43))
% 0.19/0.70 [5]~E(x51,x52)+E(f6(x53,x51),f6(x53,x52))
% 0.19/0.70 [6]~E(x61,x62)+E(f12(x61),f12(x62))
% 0.19/0.70 [7]~E(x71,x72)+E(f16(x71,x73),f16(x72,x73))
% 0.19/0.70 [8]~E(x81,x82)+E(f16(x83,x81),f16(x83,x82))
% 0.19/0.70 [9]~E(x91,x92)+E(f14(x91),f14(x92))
% 0.19/0.70 [10]~E(x101,x102)+E(f32(x101,x103),f32(x102,x103))
% 0.19/0.70 [11]~E(x111,x112)+E(f32(x113,x111),f32(x113,x112))
% 0.19/0.70 [12]~E(x121,x122)+E(f7(x121),f7(x122))
% 0.19/0.70 [13]~E(x131,x132)+E(f24(x131),f24(x132))
% 0.19/0.70 [14]~E(x141,x142)+E(f8(x141,x143),f8(x142,x143))
% 0.19/0.70 [15]~E(x151,x152)+E(f8(x153,x151),f8(x153,x152))
% 0.19/0.70 [16]~E(x161,x162)+E(f18(x161,x163,x164),f18(x162,x163,x164))
% 0.19/0.70 [17]~E(x171,x172)+E(f18(x173,x171,x174),f18(x173,x172,x174))
% 0.19/0.70 [18]~E(x181,x182)+E(f18(x183,x184,x181),f18(x183,x184,x182))
% 0.19/0.70 [19]~E(x191,x192)+E(f17(x191,x193),f17(x192,x193))
% 0.19/0.70 [20]~E(x201,x202)+E(f17(x203,x201),f17(x203,x202))
% 0.19/0.70 [21]~E(x211,x212)+E(f26(x211),f26(x212))
% 0.19/0.70 [22]~E(x221,x222)+E(f19(x221,x223,x224),f19(x222,x223,x224))
% 0.19/0.70 [23]~E(x231,x232)+E(f19(x233,x231,x234),f19(x233,x232,x234))
% 0.19/0.70 [24]~E(x241,x242)+E(f19(x243,x244,x241),f19(x243,x244,x242))
% 0.19/0.70 [25]~E(x251,x252)+E(f9(x251),f9(x252))
% 0.19/0.70 [26]~E(x261,x262)+E(f27(x261),f27(x262))
% 0.19/0.70 [27]~E(x271,x272)+E(f15(x271),f15(x272))
% 0.19/0.70 [28]~E(x281,x282)+E(f25(x281),f25(x282))
% 0.19/0.70 [29]~E(x291,x292)+E(f4(x291),f4(x292))
% 0.19/0.71 [30]~P1(x301)+P1(x302)+~E(x301,x302)
% 0.19/0.71 [31]~P2(x311)+P2(x312)+~E(x311,x312)
% 0.19/0.71 [32]P5(x322,x323)+~E(x321,x322)+~P5(x321,x323)
% 0.19/0.71 [33]P5(x333,x332)+~E(x331,x332)+~P5(x333,x331)
% 0.19/0.71 [34]P3(x342,x343,x344)+~E(x341,x342)+~P3(x341,x343,x344)
% 0.19/0.71 [35]P3(x353,x352,x354)+~E(x351,x352)+~P3(x353,x351,x354)
% 0.19/0.71 [36]P3(x363,x364,x362)+~E(x361,x362)+~P3(x363,x364,x361)
% 0.19/0.71 [37]P7(x372,x373)+~E(x371,x372)+~P7(x371,x373)
% 0.19/0.71 [38]P7(x383,x382)+~E(x381,x382)+~P7(x383,x381)
% 0.19/0.71 [39]P6(x392,x393,x394)+~E(x391,x392)+~P6(x391,x393,x394)
% 0.19/0.71 [40]P6(x403,x402,x404)+~E(x401,x402)+~P6(x403,x401,x404)
% 0.19/0.71 [41]P6(x413,x414,x412)+~E(x411,x412)+~P6(x413,x414,x411)
% 0.19/0.71 [42]~P8(x421)+P8(x422)+~E(x421,x422)
% 0.19/0.71 [43]~P9(x431)+P9(x432)+~E(x431,x432)
% 0.19/0.71 [44]P4(x442,x443,x444)+~E(x441,x442)+~P4(x441,x443,x444)
% 0.19/0.71 [45]P4(x453,x452,x454)+~E(x451,x452)+~P4(x453,x451,x454)
% 0.19/0.71 [46]P4(x463,x464,x462)+~E(x461,x462)+~P4(x463,x464,x461)
% 0.19/0.71 [47]~P10(x471)+P10(x472)+~E(x471,x472)
% 0.19/0.71
% 0.19/0.71 %-------------------------------------------
% 0.19/0.71 cnf(153,plain,
% 0.19/0.71 ($false),
% 0.19/0.71 inference(scs_inference,[],[51,52,56,70,66,63,2,33,3,84,92]),
% 0.19/0.71 ['proof']).
% 0.19/0.71 % SZS output end Proof
% 0.19/0.71 % Total time :0.010000s
%------------------------------------------------------------------------------