TSTP Solution File: SET158-6 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET158-6 : 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 : n027.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 14:29:00 EDT 2023
% Result : Unsatisfiable 0.20s 0.66s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET158-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 14:40:34 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.65 %-------------------------------------------
% 0.20/0.65 % File :CSE---1.6
% 0.20/0.65 % Problem :theBenchmark
% 0.20/0.65 % Transform :cnf
% 0.20/0.65 % Format :tptp:raw
% 0.20/0.65 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.65
% 0.20/0.65 % Result :Theorem 0.010000s
% 0.20/0.65 % Output :CNFRefutation 0.010000s
% 0.20/0.65 %-------------------------------------------
% 0.20/0.66 %--------------------------------------------------------------------------
% 0.20/0.66 % File : SET158-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.20/0.66 % Domain : Set Theory
% 0.20/0.66 % Problem : Corollary to complement axiom
% 0.20/0.66 % Version : [Qua92] axioms.
% 0.20/0.66 % English :
% 0.20/0.66
% 0.20/0.66 % Refs : [BL+86] Boyer et al. (1986), Set Theory in First-Order Logic:
% 0.20/0.66 % : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 0.20/0.66 % Source : [Quaife]
% 0.20/0.66 % Names : C6 [Quaife]
% 0.20/0.66
% 0.20/0.66 % Status : Unsatisfiable
% 0.20/0.66 % Rating : 0.10 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.05 v5.4.0, 0.10 v5.3.0, 0.06 v5.1.0, 0.12 v5.0.0, 0.14 v4.1.0, 0.15 v4.0.1, 0.18 v4.0.0, 0.27 v3.7.0, 0.20 v3.5.0, 0.18 v3.4.0, 0.08 v3.3.0, 0.07 v3.2.0, 0.08 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.1.0
% 0.20/0.66 % Syntax : Number of clauses : 115 ( 40 unt; 8 nHn; 82 RR)
% 0.20/0.66 % Number of literals : 221 ( 50 equ; 100 neg)
% 0.20/0.66 % Maximal clause size : 5 ( 1 avg)
% 0.20/0.66 % Maximal term depth : 6 ( 2 avg)
% 0.20/0.66 % Number of predicates : 11 ( 10 usr; 0 prp; 1-3 aty)
% 0.20/0.66 % Number of functors : 49 ( 49 usr; 15 con; 0-3 aty)
% 0.20/0.66 % Number of variables : 214 ( 32 sgn)
% 0.20/0.66 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.20/0.66
% 0.20/0.66 % Comments : Not in [Qua92].
% 0.20/0.66 % : Quaife proves all these problems by augmenting the axioms with
% 0.20/0.66 % all previously proved theorems. With a few exceptions (the
% 0.20/0.66 % problems that correspond to [BL+86] problems), the TPTP has
% 0.20/0.66 % retained the order in which Quaife presents the problems. The
% 0.20/0.66 % user may create an augmented version of this problem by adding
% 0.20/0.66 % all previously proved theorems (the ones that correspond to
% 0.20/0.66 % [BL+86] are easily identified and positioned using Quaife's
% 0.20/0.66 % naming scheme).
% 0.20/0.66 % Bugfixes : v1.0.1 - Bugfix in SET004-1.ax.
% 0.20/0.66 % : v2.1.0 - Bugfix in SET004-0.ax.
% 0.20/0.66 %--------------------------------------------------------------------------
% 0.20/0.66 %----Include von Neuman-Bernays-Godel set theory axioms
% 0.20/0.66 include('Axioms/SET004-0.ax').
% 0.20/0.66 %----Include von Neuman-Bernays-Godel Boolean Algebra definitions
% 0.20/0.66 include('Axioms/SET004-1.ax').
% 0.20/0.66 %--------------------------------------------------------------------------
% 0.20/0.66 cnf(prove_corollary_to_complement_axiom_1,negated_conjecture,
% 0.20/0.66 member(y,x) ).
% 0.20/0.66
% 0.20/0.66 cnf(prove_corollary_to_complement_axiom_2,negated_conjecture,
% 0.20/0.66 member(z,complement(x)) ).
% 0.20/0.66
% 0.20/0.66 cnf(prove_corollary_to_complement_axiom_3,negated_conjecture,
% 0.20/0.66 y = z ).
% 0.20/0.66
% 0.20/0.66 %--------------------------------------------------------------------------
% 0.20/0.66 %-------------------------------------------
% 0.20/0.66 % Proof found
% 0.20/0.66 % SZS status Theorem for theBenchmark
% 0.20/0.66 % SZS output start Proof
% 0.20/0.66 %ClaNum:145(EqnAxiom:47)
% 0.20/0.66 %VarNum:892(SingletonVarNum:186)
% 0.20/0.66 %MaxLitNum:5
% 0.20/0.66 %MaxfuncDepth:24
% 0.20/0.66 %SharedTerms:49
% 0.20/0.66 %goalClause: 48 52 54
% 0.20/0.66 %singleGoalClaCount:3
% 0.20/0.66 [48]E(a1,a2)
% 0.20/0.66 [49]P1(a3)
% 0.20/0.66 [50]P2(a4)
% 0.20/0.66 [51]P5(a3,a23)
% 0.20/0.66 [52]P5(a2,a31)
% 0.20/0.66 [54]P5(a1,f7(a31))
% 0.20/0.66 [55]P7(a8,f9(a23,a23))
% 0.20/0.66 [56]P7(a24,f9(a23,a23))
% 0.20/0.66 [57]P7(a13,f9(a23,a23))
% 0.20/0.66 [61]P7(a12,f9(a23,f9(a23,a23)))
% 0.20/0.66 [62]P7(a5,f9(a23,f9(a23,a23)))
% 0.20/0.66 [63]E(f18(f7(f11(a8,f7(a15))),a8),a25)
% 0.20/0.66 [67]E(f18(f14(f16(f9(a30,a23))),a30),a15)
% 0.20/0.66 [68]E(f18(f9(a23,a23),f18(f9(a23,a23),f7(f11(f7(a8),f14(f16(f9(a8,a23))))))),a30)
% 0.20/0.66 [53]P7(x531,a23)
% 0.20/0.66 [59]P7(f10(x591),f9(a23,a23))
% 0.20/0.66 [65]P7(f26(x651),f9(f9(a23,a23),a23))
% 0.20/0.66 [66]P7(f16(x661),f9(f9(a23,a23),a23))
% 0.20/0.66 [69]E(f18(f14(x691),f7(f14(f18(f11(f14(f16(f9(a8,a23))),x691),a15)))),f6(x691))
% 0.20/0.66 [70]E(f17(f19(f18(x701,f9(f14(f14(f16(f9(f18(f14(f16(f9(x701,a23))),f9(f32(f17(f19(f11(x701,f14(f16(f9(x701,a23)))),a15)),f17(f19(f11(x701,f14(f16(f9(x701,a23)))),a15))),a23)),a23)))),f32(f28(f19(f11(x701,f14(f16(f9(x701,a23)))),a15)),f28(f19(f11(x701,f14(f16(f9(x701,a23)))),a15))))),a22)),f29(x701))
% 0.20/0.66 [58]P5(f32(x581,x582),a23)
% 0.20/0.66 [60]P7(f11(x601,x602),f9(a23,a23))
% 0.20/0.66 [64]E(f18(f9(x641,x642),x643),f18(x643,f9(x641,x642)))
% 0.20/0.66 [71]~P8(x711)+P2(x711)
% 0.20/0.66 [72]~P9(x721)+P2(x721)
% 0.20/0.66 [75]~P1(x751)+P7(a3,x751)
% 0.20/0.66 [76]~P1(x761)+P5(a22,x761)
% 0.20/0.66 [78]P5(f27(x781),x781)+E(x781,a22)
% 0.20/0.66 [79]~P2(x791)+P7(x791,f9(a23,a23))
% 0.20/0.66 [77]E(x771,a22)+E(f18(x771,f27(x771)),a22)
% 0.20/0.66 [87]~P9(x871)+E(f9(f14(f14(x871)),f14(f14(x871))),f14(x871))
% 0.20/0.66 [99]~P8(x991)+P2(f14(f16(f9(x991,a23))))
% 0.20/0.66 [103]~P5(x1031,a23)+P5(f14(f18(a8,f9(a23,x1031))),a23)
% 0.20/0.66 [105]~P10(x1051)+P7(f11(x1051,f14(f16(f9(x1051,a23)))),a15)
% 0.20/0.66 [106]~P2(x1061)+P7(f11(x1061,f14(f16(f9(x1061,a23)))),a15)
% 0.20/0.66 [107]~P9(x1071)+P7(f14(f14(f16(f9(x1071,a23)))),f14(f14(x1071)))
% 0.20/0.66 [112]~P5(x1121,a23)+P5(f32(f32(x1121,x1121),f32(x1121,f32(f14(x1121),f14(x1121)))),a13)
% 0.20/0.66 [115]P10(x1151)+~P7(f11(x1151,f14(f16(f9(x1151,a23)))),a15)
% 0.20/0.66 [127]~P1(x1271)+P7(f14(f14(f16(f9(f18(a24,f9(x1271,a23)),a23)))),x1271)
% 0.20/0.66 [131]~P5(x1311,a23)+P5(f7(f14(f14(f16(f9(f18(a8,f9(f7(x1311),a23)),a23))))),a23)
% 0.20/0.66 [73]~E(x732,x731)+P7(x731,x732)
% 0.20/0.66 [74]~E(x741,x742)+P7(x741,x742)
% 0.20/0.66 [81]P7(x811,x812)+P5(f19(x811,x812),x811)
% 0.20/0.66 [82]~P5(x821,x822)+~P5(x821,f7(x822))
% 0.20/0.66 [85]~P5(x851,a23)+P5(x851,f32(x852,x851))
% 0.20/0.66 [86]~P5(x861,a23)+P5(x861,f32(x861,x862))
% 0.20/0.66 [91]P7(x911,x912)+~P5(f19(x911,x912),x912)
% 0.20/0.66 [102]~P5(x1022,f14(x1021))+~E(f18(x1021,f9(f32(x1022,x1022),a23)),a22)
% 0.20/0.66 [113]E(f14(x1131),x1132)+~P5(f32(f32(x1131,x1131),f32(x1131,f32(x1132,x1132))),a13)
% 0.20/0.66 [114]P5(x1141,x1142)+~P5(f32(f32(x1141,x1141),f32(x1141,f32(x1142,x1142))),a8)
% 0.20/0.66 [123]~P5(f32(f32(x1231,x1231),f32(x1231,f32(x1232,x1232))),a24)+E(f7(f18(f7(x1231),f7(f32(x1231,x1231)))),x1232)
% 0.20/0.66 [136]~P5(f32(f32(x1361,x1361),f32(x1361,f32(x1362,x1362))),f9(a23,a23))+P5(f32(f32(x1361,x1361),f32(x1361,f32(f32(f32(x1362,x1362),f32(x1362,f32(f11(x1361,x1362),f11(x1361,x1362)))),f32(f32(x1362,x1362),f32(x1362,f32(f11(x1361,x1362),f11(x1361,x1362))))))),a12)
% 0.20/0.66 [93]P2(x931)+~P3(x931,x932,x933)
% 0.20/0.66 [94]P2(x941)+~P6(x941,x942,x943)
% 0.20/0.66 [95]P9(x951)+~P4(x952,x953,x951)
% 0.20/0.66 [96]P9(x961)+~P4(x962,x961,x963)
% 0.20/0.66 [101]~P4(x1011,x1012,x1013)+P3(x1011,x1012,x1013)
% 0.20/0.66 [89]P5(x891,x892)+~P5(x891,f18(x893,x892))
% 0.20/0.66 [90]P5(x901,x902)+~P5(x901,f18(x902,x903))
% 0.20/0.66 [97]~P6(x971,x972,x973)+E(f14(x971),x972)
% 0.20/0.66 [98]~P3(x982,x981,x983)+E(f14(f14(x981)),f14(x982))
% 0.20/0.66 [116]E(f11(x1161,x1162),x1163)+~P5(f32(f32(x1162,x1162),f32(x1162,f32(x1163,x1163))),f10(x1161))
% 0.20/0.66 [108]~P5(x1081,f9(x1082,x1083))+E(f32(f32(f17(x1081),f17(x1081)),f32(f17(x1081),f32(f28(x1081),f28(x1081)))),x1081)
% 0.20/0.66 [110]~P6(x1101,x1103,x1102)+P7(f14(f14(f16(f9(x1101,a23)))),x1102)
% 0.20/0.66 [111]~P3(x1111,x1113,x1112)+P7(f14(f14(f16(f9(x1111,a23)))),f14(f14(x1112)))
% 0.20/0.66 [132]E(f11(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)))))),a12)
% 0.20/0.66 [133]P5(x1331,f14(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)))))),a5)
% 0.20/0.66 [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)))))),a5)+E(f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1391,f9(f32(x1392,x1392),a23)),a23))))))),x1393)
% 0.20/0.66 [117]P5(x1171,x1172)+~P5(f32(f32(x1173,x1173),f32(x1173,f32(x1171,x1171))),f9(x1174,x1172))
% 0.20/0.66 [118]P5(x1181,x1182)+~P5(f32(f32(x1181,x1181),f32(x1181,f32(x1183,x1183))),f9(x1182,x1184))
% 0.20/0.66 [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))),f26(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)
% 0.20/0.66 [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))),f16(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)
% 0.20/0.66 [141]~P5(f32(f32(x1414,x1414),f32(x1414,f32(x1411,x1411))),f11(x1412,x1413))+P5(x1411,f14(f14(f16(f9(f18(x1412,f9(f14(f14(f16(f9(f18(x1413,f9(f32(x1414,x1414),a23)),a23)))),a23)),a23)))))
% 0.20/0.66 [104]~P2(x1041)+P8(x1041)+~P2(f14(f16(f9(x1041,a23))))
% 0.20/0.66 [120]P2(x1201)+~P7(x1201,f9(a23,a23))+~P7(f11(x1201,f14(f16(f9(x1201,a23)))),a15)
% 0.20/0.66 [129]P1(x1291)+~P5(a22,x1291)+~P7(f14(f14(f16(f9(f18(a24,f9(x1291,a23)),a23)))),x1291)
% 0.20/0.66 [140]~P5(x1401,a23)+E(x1401,a22)+P5(f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(a4,f9(f32(x1401,x1401),a23)),a23))))))),x1401)
% 0.20/0.66 [80]~P7(x802,x801)+~P7(x801,x802)+E(x801,x802)
% 0.20/0.66 [83]P5(x831,x832)+P5(x831,f7(x832))+~P5(x831,a23)
% 0.20/0.66 [100]P5(x1002,f14(x1001))+~P5(x1002,a23)+E(f18(x1001,f9(f32(x1002,x1002),a23)),a22)
% 0.20/0.66 [124]~P5(x1241,x1242)+~P5(f32(f32(x1241,x1241),f32(x1241,f32(x1242,x1242))),f9(a23,a23))+P5(f32(f32(x1241,x1241),f32(x1241,f32(x1242,x1242))),a8)
% 0.20/0.66 [119]~P2(x1191)+P6(x1191,f14(x1191),x1192)+~P7(f14(f14(f16(f9(x1191,a23)))),x1192)
% 0.20/0.66 [126]~P5(f32(f32(x1261,x1261),f32(x1261,f32(x1262,x1262))),f9(a23,a23))+~E(f7(f18(f7(x1261),f7(f32(x1261,x1261)))),x1262)+P5(f32(f32(x1261,x1261),f32(x1261,f32(x1262,x1262))),a24)
% 0.20/0.66 [128]~P2(x1281)+~P5(x1282,a23)+P5(f14(f14(f16(f9(f18(x1281,f9(x1282,a23)),a23)))),a23)
% 0.20/0.66 [84]~P5(x841,x843)+P5(x841,x842)+~P7(x843,x842)
% 0.20/0.66 [88]E(x881,x882)+E(x881,x883)+~P5(x881,f32(x883,x882))
% 0.20/0.66 [92]~P5(x921,x923)+~P5(x921,x922)+P5(x921,f18(x922,x923))
% 0.20/0.66 [125]~E(f11(x1253,x1251),x1252)+P5(f32(f32(x1251,x1251),f32(x1251,f32(x1252,x1252))),f10(x1253))+~P5(f32(f32(x1251,x1251),f32(x1251,f32(x1252,x1252))),f9(a23,a23))
% 0.20/0.66 [143]~P5(x1432,f14(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)))))),f9(a23,f9(a23,a23)))+P5(f32(f32(x1431,x1431),f32(x1431,f32(f32(f32(x1432,x1432),f32(x1432,f32(f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1431,f9(f32(x1432,x1432),a23)),a23))))))),f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1431,f9(f32(x1432,x1432),a23)),a23)))))))))),f32(f32(x1432,x1432),f32(x1432,f32(f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1431,f9(f32(x1432,x1432),a23)),a23))))))),f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1431,f9(f32(x1432,x1432),a23)),a23))))))))))))),a5)
% 0.20/0.66 [109]~P5(x1092,x1094)+~P5(x1091,x1093)+P5(f32(f32(x1091,x1091),f32(x1091,f32(x1092,x1092))),f9(x1093,x1094))
% 0.20/0.66 [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))),f26(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))),f9(f9(a23,a23),a23))
% 0.20/0.66 [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))),f16(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))),f9(f9(a23,a23),a23))
% 0.20/0.66 [142]P5(f32(f32(x1421,x1421),f32(x1421,f32(x1422,x1422))),f11(x1423,x1424))+~P5(f32(f32(x1421,x1421),f32(x1421,f32(x1422,x1422))),f9(a23,a23))+~P5(x1422,f14(f14(f16(f9(f18(x1423,f9(f14(f14(f16(f9(f18(x1424,f9(f32(x1421,x1421),a23)),a23)))),a23)),a23)))))
% 0.20/0.67 [144]~P4(x1442,x1445,x1441)+~P5(f32(f32(x1443,x1443),f32(x1443,f32(x1444,x1444))),f14(x1445))+E(f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1441,f9(f32(f32(f32(f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1442,f9(f32(x1443,x1443),a23)),a23))))))),f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1442,f9(f32(x1443,x1443),a23)),a23)))))))),f32(f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1442,f9(f32(x1443,x1443),a23)),a23))))))),f32(f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1442,f9(f32(x1444,x1444),a23)),a23))))))),f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1442,f9(f32(x1444,x1444),a23)),a23)))))))))),f32(f32(f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1442,f9(f32(x1443,x1443),a23)),a23))))))),f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1442,f9(f32(x1443,x1443),a23)),a23)))))))),f32(f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1442,f9(f32(x1443,x1443),a23)),a23))))))),f32(f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1442,f9(f32(x1444,x1444),a23)),a23))))))),f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1442,f9(f32(x1444,x1444),a23)),a23))))))))))),a23)),a23))))))),f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1442,f9(f32(f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1445,f9(f32(f32(f32(x1443,x1443),f32(x1443,f32(x1444,x1444))),f32(f32(x1443,x1443),f32(x1443,f32(x1444,x1444)))),a23)),a23))))))),f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1445,f9(f32(f32(f32(x1443,x1443),f32(x1443,f32(x1444,x1444))),f32(f32(x1443,x1443),f32(x1443,f32(x1444,x1444)))),a23)),a23)))))))),a23)),a23))))))))
% 0.20/0.67 [122]~P2(x1221)+P9(x1221)+~E(f9(f14(f14(x1221)),f14(f14(x1221))),f14(x1221))+~P7(f14(f14(f16(f9(x1221,a23)))),f14(f14(x1221)))
% 0.20/0.67 [121]~P2(x1211)+P3(x1211,x1212,x1213)+~E(f14(f14(x1212)),f14(x1211))+~P7(f14(f14(f16(f9(x1211,a23)))),f14(f14(x1213)))
% 0.20/0.67 [130]~P9(x1303)+~P9(x1302)+~P3(x1301,x1302,x1303)+P4(x1301,x1302,x1303)+P5(f32(f32(f20(x1301,x1302,x1303),f20(x1301,x1302,x1303)),f32(f20(x1301,x1302,x1303),f32(f21(x1301,x1302,x1303),f21(x1301,x1302,x1303)))),f14(x1302))
% 0.20/0.67 [145]~P9(x1453)+~P9(x1452)+~P3(x1451,x1452,x1453)+P4(x1451,x1452,x1453)+~E(f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1453,f9(f32(f32(f32(f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1451,f9(f32(f20(x1451,x1452,x1453),f20(x1451,x1452,x1453)),a23)),a23))))))),f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1451,f9(f32(f20(x1451,x1452,x1453),f20(x1451,x1452,x1453)),a23)),a23)))))))),f32(f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1451,f9(f32(f20(x1451,x1452,x1453),f20(x1451,x1452,x1453)),a23)),a23))))))),f32(f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1451,f9(f32(f21(x1451,x1452,x1453),f21(x1451,x1452,x1453)),a23)),a23))))))),f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1451,f9(f32(f21(x1451,x1452,x1453),f21(x1451,x1452,x1453)),a23)),a23)))))))))),f32(f32(f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1451,f9(f32(f20(x1451,x1452,x1453),f20(x1451,x1452,x1453)),a23)),a23))))))),f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1451,f9(f32(f20(x1451,x1452,x1453),f20(x1451,x1452,x1453)),a23)),a23)))))))),f32(f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1451,f9(f32(f20(x1451,x1452,x1453),f20(x1451,x1452,x1453)),a23)),a23))))))),f32(f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1451,f9(f32(f21(x1451,x1452,x1453),f21(x1451,x1452,x1453)),a23)),a23))))))),f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1451,f9(f32(f21(x1451,x1452,x1453),f21(x1451,x1452,x1453)),a23)),a23))))))))))),a23)),a23))))))),f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1451,f9(f32(f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1452,f9(f32(f32(f32(f20(x1451,x1452,x1453),f20(x1451,x1452,x1453)),f32(f20(x1451,x1452,x1453),f32(f21(x1451,x1452,x1453),f21(x1451,x1452,x1453)))),f32(f32(f20(x1451,x1452,x1453),f20(x1451,x1452,x1453)),f32(f20(x1451,x1452,x1453),f32(f21(x1451,x1452,x1453),f21(x1451,x1452,x1453))))),a23)),a23))))))),f14(f18(a8,f9(a23,f14(f14(f16(f9(f18(x1452,f9(f32(f32(f32(f20(x1451,x1452,x1453),f20(x1451,x1452,x1453)),f32(f20(x1451,x1452,x1453),f32(f21(x1451,x1452,x1453),f21(x1451,x1452,x1453)))),f32(f32(f20(x1451,x1452,x1453),f20(x1451,x1452,x1453)),f32(f20(x1451,x1452,x1453),f32(f21(x1451,x1452,x1453),f21(x1451,x1452,x1453))))),a23)),a23)))))))),a23)),a23))))))))
% 0.20/0.67 %EqnAxiom
% 0.20/0.67 [1]E(x11,x11)
% 0.20/0.67 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.67 [4]~E(x41,x42)+E(f7(x41),f7(x42))
% 0.20/0.67 [5]~E(x51,x52)+E(f9(x51,x53),f9(x52,x53))
% 0.20/0.67 [6]~E(x61,x62)+E(f9(x63,x61),f9(x63,x62))
% 0.20/0.67 [7]~E(x71,x72)+E(f16(x71),f16(x72))
% 0.20/0.67 [8]~E(x81,x82)+E(f18(x81,x83),f18(x82,x83))
% 0.20/0.67 [9]~E(x91,x92)+E(f18(x93,x91),f18(x93,x92))
% 0.20/0.67 [10]~E(x101,x102)+E(f32(x101,x103),f32(x102,x103))
% 0.20/0.67 [11]~E(x111,x112)+E(f32(x113,x111),f32(x113,x112))
% 0.20/0.67 [12]~E(x121,x122)+E(f10(x121),f10(x122))
% 0.20/0.67 [13]~E(x131,x132)+E(f14(x131),f14(x132))
% 0.20/0.67 [14]~E(x141,x142)+E(f11(x141,x143),f11(x142,x143))
% 0.20/0.67 [15]~E(x151,x152)+E(f11(x153,x151),f11(x153,x152))
% 0.20/0.67 [16]~E(x161,x162)+E(f20(x161,x163,x164),f20(x162,x163,x164))
% 0.20/0.67 [17]~E(x171,x172)+E(f20(x173,x171,x174),f20(x173,x172,x174))
% 0.20/0.67 [18]~E(x181,x182)+E(f20(x183,x184,x181),f20(x183,x184,x182))
% 0.20/0.67 [19]~E(x191,x192)+E(f19(x191,x193),f19(x192,x193))
% 0.20/0.67 [20]~E(x201,x202)+E(f19(x203,x201),f19(x203,x202))
% 0.20/0.67 [21]~E(x211,x212)+E(f21(x211,x213,x214),f21(x212,x213,x214))
% 0.20/0.67 [22]~E(x221,x222)+E(f21(x223,x221,x224),f21(x223,x222,x224))
% 0.20/0.67 [23]~E(x231,x232)+E(f21(x233,x234,x231),f21(x233,x234,x232))
% 0.20/0.67 [24]~E(x241,x242)+E(f17(x241),f17(x242))
% 0.20/0.67 [25]~E(x251,x252)+E(f26(x251),f26(x252))
% 0.20/0.67 [26]~E(x261,x262)+E(f28(x261),f28(x262))
% 0.20/0.67 [27]~E(x271,x272)+E(f6(x271),f6(x272))
% 0.20/0.67 [28]~E(x281,x282)+E(f27(x281),f27(x282))
% 0.20/0.67 [29]~E(x291,x292)+E(f29(x291),f29(x292))
% 0.20/0.67 [30]~P1(x301)+P1(x302)+~E(x301,x302)
% 0.20/0.67 [31]~P2(x311)+P2(x312)+~E(x311,x312)
% 0.20/0.67 [32]P5(x322,x323)+~E(x321,x322)+~P5(x321,x323)
% 0.20/0.67 [33]P5(x333,x332)+~E(x331,x332)+~P5(x333,x331)
% 0.20/0.67 [34]P3(x342,x343,x344)+~E(x341,x342)+~P3(x341,x343,x344)
% 0.20/0.67 [35]P3(x353,x352,x354)+~E(x351,x352)+~P3(x353,x351,x354)
% 0.20/0.67 [36]P3(x363,x364,x362)+~E(x361,x362)+~P3(x363,x364,x361)
% 0.20/0.67 [37]P7(x372,x373)+~E(x371,x372)+~P7(x371,x373)
% 0.20/0.67 [38]P7(x383,x382)+~E(x381,x382)+~P7(x383,x381)
% 0.20/0.67 [39]~P9(x391)+P9(x392)+~E(x391,x392)
% 0.20/0.67 [40]P6(x402,x403,x404)+~E(x401,x402)+~P6(x401,x403,x404)
% 0.20/0.67 [41]P6(x413,x412,x414)+~E(x411,x412)+~P6(x413,x411,x414)
% 0.20/0.67 [42]P6(x423,x424,x422)+~E(x421,x422)+~P6(x423,x424,x421)
% 0.20/0.67 [43]P4(x432,x433,x434)+~E(x431,x432)+~P4(x431,x433,x434)
% 0.20/0.67 [44]P4(x443,x442,x444)+~E(x441,x442)+~P4(x443,x441,x444)
% 0.20/0.67 [45]P4(x453,x454,x452)+~E(x451,x452)+~P4(x453,x454,x451)
% 0.20/0.67 [46]~P8(x461)+P8(x462)+~E(x461,x462)
% 0.20/0.67 [47]~P10(x471)+P10(x472)+~E(x471,x472)
% 0.20/0.67
% 0.20/0.67 %-------------------------------------------
% 0.20/0.67 cnf(150,plain,
% 0.20/0.67 ($false),
% 0.20/0.67 inference(scs_inference,[],[48,52,54,2,82,33,32]),
% 0.20/0.67 ['proof']).
% 0.20/0.67 % SZS output end Proof
% 0.20/0.67 % Total time :0.010000s
%------------------------------------------------------------------------------