TSTP Solution File: SET184-6 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET184-6 : 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 : n014.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 14:29:07 EDT 2023
% Result : Unsatisfiable 0.21s 0.81s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET184-6 : 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
% 0.14/0.35 % Computer : n014.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 10:26:17 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 0.21/0.80 %-------------------------------------------
% 0.21/0.80 % File :CSE---1.6
% 0.21/0.80 % Problem :theBenchmark
% 0.21/0.80 % Transform :cnf
% 0.21/0.80 % Format :tptp:raw
% 0.21/0.80 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.80
% 0.21/0.80 % Result :Theorem 0.140000s
% 0.21/0.80 % Output :CNFRefutation 0.140000s
% 0.21/0.80 %-------------------------------------------
% 0.21/0.80 %--------------------------------------------------------------------------
% 0.21/0.80 % File : SET184-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.21/0.80 % Domain : Set Theory
% 0.21/0.81 % Problem : Subclass property 2
% 0.21/0.81 % Version : [Qua92] axioms.
% 0.21/0.81 % English :
% 0.21/0.81
% 0.21/0.81 % Refs : [BL+86] Boyer et al. (1986), Set Theory in First-Order Logic:
% 0.21/0.81 % : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 0.21/0.81 % Source : [Quaife]
% 0.21/0.81 % Names : SU2 [Qua92]
% 0.21/0.81
% 0.21/0.81 % Status : Unsatisfiable
% 0.21/0.81 % Rating : 0.14 v8.1.0, 0.11 v7.4.0, 0.12 v7.3.0, 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, 0.20 v5.3.0, 0.11 v5.2.0, 0.06 v5.1.0, 0.12 v5.0.0, 0.21 v4.1.0, 0.23 v4.0.1, 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, 0.15 v3.1.0, 0.09 v2.7.0, 0.17 v2.6.0, 0.11 v2.5.0, 0.09 v2.4.0, 0.00 v2.1.0
% 0.21/0.81 % Syntax : Number of clauses : 114 ( 39 unt; 8 nHn; 81 RR)
% 0.21/0.81 % Number of literals : 220 ( 50 equ; 101 neg)
% 0.21/0.81 % Maximal clause size : 5 ( 1 avg)
% 0.21/0.81 % Maximal term depth : 6 ( 2 avg)
% 0.21/0.81 % Number of predicates : 11 ( 10 usr; 0 prp; 1-3 aty)
% 0.21/0.81 % Number of functors : 48 ( 48 usr; 14 con; 0-3 aty)
% 0.21/0.81 % Number of variables : 214 ( 32 sgn)
% 0.21/0.81 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.21/0.81
% 0.21/0.81 % Comments : Quaife proves all these problems by augmenting the axioms with
% 0.21/0.81 % all previously proved theorems. With a few exceptions (the
% 0.21/0.81 % problems that correspond to [BL+86] problems), the TPTP has
% 0.21/0.81 % retained the order in which Quaife presents the problems. The
% 0.21/0.81 % user may create an augmented version of this problem by adding
% 0.21/0.81 % all previously proved theorems (the ones that correspond to
% 0.21/0.81 % [BL+86] are easily identified and positioned using Quaife's
% 0.21/0.81 % naming scheme).
% 0.21/0.81 % Bugfixes : v1.0.1 - Bugfix in SET004-1.ax.
% 0.21/0.81 % : v2.1.0 - Bugfix in SET004-0.ax.
% 0.21/0.81 %--------------------------------------------------------------------------
% 0.21/0.81 %----Include von Neuman-Bernays-Godel set theory axioms
% 0.21/0.81 include('Axioms/SET004-0.ax').
% 0.21/0.81 %----Include von Neuman-Bernays-Godel Boolean Algebra definitions
% 0.21/0.81 include('Axioms/SET004-1.ax').
% 0.21/0.81 %--------------------------------------------------------------------------
% 0.21/0.81 cnf(prove_subclass_property2_1,negated_conjecture,
% 0.21/0.81 intersection(x,y) = x ).
% 0.21/0.81
% 0.21/0.81 cnf(prove_subclass_property2_2,negated_conjecture,
% 0.21/0.81 ~ subclass(x,y) ).
% 0.21/0.81
% 0.21/0.81 %--------------------------------------------------------------------------
% 0.21/0.81 %-------------------------------------------
% 0.21/0.81 % Proof found
% 0.21/0.81 % SZS status Theorem for theBenchmark
% 0.21/0.81 % SZS output start Proof
% 0.21/0.81 %ClaNum:144(EqnAxiom:47)
% 0.21/0.81 %VarNum:892(SingletonVarNum:186)
% 0.21/0.81 %MaxLitNum:5
% 0.21/0.81 %MaxfuncDepth:24
% 0.21/0.81 %SharedTerms:47
% 0.21/0.81 %goalClause: 50 69
% 0.21/0.81 %singleGoalClaCount:2
% 0.21/0.81 [48]P1(a1)
% 0.21/0.81 [49]P2(a2)
% 0.21/0.81 [51]P5(a1,a22)
% 0.21/0.81 [69]~P7(a21,a31)
% 0.21/0.81 [50]E(f5(a21,a31),a21)
% 0.21/0.81 [53]P7(a6,f7(a22,a22))
% 0.21/0.81 [54]P7(a23,f7(a22,a22))
% 0.21/0.81 [55]P7(a12,f7(a22,a22))
% 0.21/0.81 [59]P7(a11,f7(a22,f7(a22,a22)))
% 0.21/0.81 [60]P7(a3,f7(a22,f7(a22,a22)))
% 0.21/0.81 [61]E(f5(f10(f9(a6,f10(a14))),a6),a24)
% 0.21/0.81 [65]E(f5(f13(f15(f7(a29,a22))),a29),a14)
% 0.21/0.81 [66]E(f5(f7(a22,a22),f5(f7(a22,a22),f10(f9(f10(a6),f13(f15(f7(a6,a22))))))),a29)
% 0.21/0.81 [52]P7(x521,a22)
% 0.21/0.81 [57]P7(f8(x571),f7(a22,a22))
% 0.21/0.81 [63]P7(f25(x631),f7(f7(a22,a22),a22))
% 0.21/0.81 [64]P7(f15(x641),f7(f7(a22,a22),a22))
% 0.21/0.81 [67]E(f5(f13(x671),f10(f13(f5(f9(f13(f15(f7(a6,a22))),x671),a14)))),f4(x671))
% 0.21/0.81 [68]E(f16(f17(f5(x681,f7(f13(f13(f15(f7(f5(f13(f15(f7(x681,a22))),f7(f30(f16(f17(f9(x681,f13(f15(f7(x681,a22)))),a14)),f16(f17(f9(x681,f13(f15(f7(x681,a22)))),a14))),a22)),a22)))),f30(f27(f17(f9(x681,f13(f15(f7(x681,a22)))),a14)),f27(f17(f9(x681,f13(f15(f7(x681,a22)))),a14))))),a20)),f28(x681))
% 0.21/0.81 [56]P5(f30(x561,x562),a22)
% 0.21/0.81 [58]P7(f9(x581,x582),f7(a22,a22))
% 0.21/0.81 [62]E(f5(f7(x621,x622),x623),f5(x623,f7(x621,x622)))
% 0.21/0.81 [70]~P8(x701)+P2(x701)
% 0.21/0.81 [71]~P9(x711)+P2(x711)
% 0.21/0.81 [74]~P1(x741)+P7(a1,x741)
% 0.21/0.81 [75]~P1(x751)+P5(a20,x751)
% 0.21/0.81 [77]P5(f26(x771),x771)+E(x771,a20)
% 0.21/0.81 [78]~P2(x781)+P7(x781,f7(a22,a22))
% 0.21/0.81 [76]E(x761,a20)+E(f5(x761,f26(x761)),a20)
% 0.21/0.81 [86]~P9(x861)+E(f7(f13(f13(x861)),f13(f13(x861))),f13(x861))
% 0.21/0.81 [98]~P8(x981)+P2(f13(f15(f7(x981,a22))))
% 0.21/0.81 [102]~P5(x1021,a22)+P5(f13(f5(a6,f7(a22,x1021))),a22)
% 0.21/0.81 [104]~P10(x1041)+P7(f9(x1041,f13(f15(f7(x1041,a22)))),a14)
% 0.21/0.81 [105]~P2(x1051)+P7(f9(x1051,f13(f15(f7(x1051,a22)))),a14)
% 0.21/0.81 [106]~P9(x1061)+P7(f13(f13(f15(f7(x1061,a22)))),f13(f13(x1061)))
% 0.21/0.81 [111]~P5(x1111,a22)+P5(f30(f30(x1111,x1111),f30(x1111,f30(f13(x1111),f13(x1111)))),a12)
% 0.21/0.81 [114]P10(x1141)+~P7(f9(x1141,f13(f15(f7(x1141,a22)))),a14)
% 0.21/0.81 [126]~P1(x1261)+P7(f13(f13(f15(f7(f5(a23,f7(x1261,a22)),a22)))),x1261)
% 0.21/0.81 [130]~P5(x1301,a22)+P5(f10(f13(f13(f15(f7(f5(a6,f7(f10(x1301),a22)),a22))))),a22)
% 0.21/0.81 [72]~E(x722,x721)+P7(x721,x722)
% 0.21/0.81 [73]~E(x731,x732)+P7(x731,x732)
% 0.21/0.81 [80]P7(x801,x802)+P5(f17(x801,x802),x801)
% 0.21/0.81 [81]~P5(x811,x812)+~P5(x811,f10(x812))
% 0.21/0.81 [84]~P5(x841,a22)+P5(x841,f30(x842,x841))
% 0.21/0.81 [85]~P5(x851,a22)+P5(x851,f30(x851,x852))
% 0.21/0.81 [90]P7(x901,x902)+~P5(f17(x901,x902),x902)
% 0.21/0.81 [101]~P5(x1012,f13(x1011))+~E(f5(x1011,f7(f30(x1012,x1012),a22)),a20)
% 0.21/0.81 [112]E(f13(x1121),x1122)+~P5(f30(f30(x1121,x1121),f30(x1121,f30(x1122,x1122))),a12)
% 0.21/0.81 [113]P5(x1131,x1132)+~P5(f30(f30(x1131,x1131),f30(x1131,f30(x1132,x1132))),a6)
% 0.21/0.81 [122]~P5(f30(f30(x1221,x1221),f30(x1221,f30(x1222,x1222))),a23)+E(f10(f5(f10(x1221),f10(f30(x1221,x1221)))),x1222)
% 0.21/0.81 [135]~P5(f30(f30(x1351,x1351),f30(x1351,f30(x1352,x1352))),f7(a22,a22))+P5(f30(f30(x1351,x1351),f30(x1351,f30(f30(f30(x1352,x1352),f30(x1352,f30(f9(x1351,x1352),f9(x1351,x1352)))),f30(f30(x1352,x1352),f30(x1352,f30(f9(x1351,x1352),f9(x1351,x1352))))))),a11)
% 0.21/0.81 [92]P2(x921)+~P3(x921,x922,x923)
% 0.21/0.81 [93]P2(x931)+~P6(x931,x932,x933)
% 0.21/0.81 [94]P9(x941)+~P4(x942,x943,x941)
% 0.21/0.81 [95]P9(x951)+~P4(x952,x951,x953)
% 0.21/0.81 [100]~P4(x1001,x1002,x1003)+P3(x1001,x1002,x1003)
% 0.21/0.81 [88]P5(x881,x882)+~P5(x881,f5(x883,x882))
% 0.21/0.81 [89]P5(x891,x892)+~P5(x891,f5(x892,x893))
% 0.21/0.81 [96]~P6(x961,x962,x963)+E(f13(x961),x962)
% 0.21/0.81 [97]~P3(x972,x971,x973)+E(f13(f13(x971)),f13(x972))
% 0.21/0.81 [115]E(f9(x1151,x1152),x1153)+~P5(f30(f30(x1152,x1152),f30(x1152,f30(x1153,x1153))),f8(x1151))
% 0.21/0.81 [107]~P5(x1071,f7(x1072,x1073))+E(f30(f30(f16(x1071),f16(x1071)),f30(f16(x1071),f30(f27(x1071),f27(x1071)))),x1071)
% 0.21/0.81 [109]~P6(x1091,x1093,x1092)+P7(f13(f13(f15(f7(x1091,a22)))),x1092)
% 0.21/0.81 [110]~P3(x1101,x1103,x1102)+P7(f13(f13(f15(f7(x1101,a22)))),f13(f13(x1102)))
% 0.21/0.81 [131]E(f9(x1311,x1312),x1313)+~P5(f30(f30(x1311,x1311),f30(x1311,f30(f30(f30(x1312,x1312),f30(x1312,f30(x1313,x1313))),f30(f30(x1312,x1312),f30(x1312,f30(x1313,x1313)))))),a11)
% 0.21/0.81 [132]P5(x1321,f13(x1322))+~P5(f30(f30(x1322,x1322),f30(x1322,f30(f30(f30(x1321,x1321),f30(x1321,f30(x1323,x1323))),f30(f30(x1321,x1321),f30(x1321,f30(x1323,x1323)))))),a3)
% 0.21/0.81 [138]~P5(f30(f30(x1381,x1381),f30(x1381,f30(f30(f30(x1382,x1382),f30(x1382,f30(x1383,x1383))),f30(f30(x1382,x1382),f30(x1382,f30(x1383,x1383)))))),a3)+E(f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1381,f7(f30(x1382,x1382),a22)),a22))))))),x1383)
% 0.21/0.81 [116]P5(x1161,x1162)+~P5(f30(f30(x1163,x1163),f30(x1163,f30(x1161,x1161))),f7(x1164,x1162))
% 0.21/0.81 [117]P5(x1171,x1172)+~P5(f30(f30(x1171,x1171),f30(x1171,f30(x1173,x1173))),f7(x1172,x1174))
% 0.21/0.81 [133]~P5(f30(f30(f30(f30(x1333,x1333),f30(x1333,f30(x1331,x1331))),f30(f30(x1333,x1333),f30(x1333,f30(x1331,x1331)))),f30(f30(f30(x1333,x1333),f30(x1333,f30(x1331,x1331))),f30(x1332,x1332))),f25(x1334))+P5(f30(f30(f30(f30(x1331,x1331),f30(x1331,f30(x1332,x1332))),f30(f30(x1331,x1331),f30(x1331,f30(x1332,x1332)))),f30(f30(f30(x1331,x1331),f30(x1331,f30(x1332,x1332))),f30(x1333,x1333))),x1334)
% 0.21/0.81 [134]~P5(f30(f30(f30(f30(x1342,x1342),f30(x1342,f30(x1341,x1341))),f30(f30(x1342,x1342),f30(x1342,f30(x1341,x1341)))),f30(f30(f30(x1342,x1342),f30(x1342,f30(x1341,x1341))),f30(x1343,x1343))),f15(x1344))+P5(f30(f30(f30(f30(x1341,x1341),f30(x1341,f30(x1342,x1342))),f30(f30(x1341,x1341),f30(x1341,f30(x1342,x1342)))),f30(f30(f30(x1341,x1341),f30(x1341,f30(x1342,x1342))),f30(x1343,x1343))),x1344)
% 0.21/0.81 [140]~P5(f30(f30(x1404,x1404),f30(x1404,f30(x1401,x1401))),f9(x1402,x1403))+P5(x1401,f13(f13(f15(f7(f5(x1402,f7(f13(f13(f15(f7(f5(x1403,f7(f30(x1404,x1404),a22)),a22)))),a22)),a22)))))
% 0.21/0.81 [103]~P2(x1031)+P8(x1031)+~P2(f13(f15(f7(x1031,a22))))
% 0.21/0.81 [119]P2(x1191)+~P7(x1191,f7(a22,a22))+~P7(f9(x1191,f13(f15(f7(x1191,a22)))),a14)
% 0.21/0.81 [128]P1(x1281)+~P5(a20,x1281)+~P7(f13(f13(f15(f7(f5(a23,f7(x1281,a22)),a22)))),x1281)
% 0.21/0.81 [139]~P5(x1391,a22)+E(x1391,a20)+P5(f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(a2,f7(f30(x1391,x1391),a22)),a22))))))),x1391)
% 0.21/0.81 [79]~P7(x792,x791)+~P7(x791,x792)+E(x791,x792)
% 0.21/0.81 [82]P5(x821,x822)+P5(x821,f10(x822))+~P5(x821,a22)
% 0.21/0.81 [99]P5(x992,f13(x991))+~P5(x992,a22)+E(f5(x991,f7(f30(x992,x992),a22)),a20)
% 0.21/0.81 [123]~P5(x1231,x1232)+~P5(f30(f30(x1231,x1231),f30(x1231,f30(x1232,x1232))),f7(a22,a22))+P5(f30(f30(x1231,x1231),f30(x1231,f30(x1232,x1232))),a6)
% 0.21/0.81 [118]~P2(x1181)+P6(x1181,f13(x1181),x1182)+~P7(f13(f13(f15(f7(x1181,a22)))),x1182)
% 0.21/0.81 [125]~P5(f30(f30(x1251,x1251),f30(x1251,f30(x1252,x1252))),f7(a22,a22))+~E(f10(f5(f10(x1251),f10(f30(x1251,x1251)))),x1252)+P5(f30(f30(x1251,x1251),f30(x1251,f30(x1252,x1252))),a23)
% 0.21/0.81 [127]~P2(x1271)+~P5(x1272,a22)+P5(f13(f13(f15(f7(f5(x1271,f7(x1272,a22)),a22)))),a22)
% 0.21/0.81 [83]~P5(x831,x833)+P5(x831,x832)+~P7(x833,x832)
% 0.21/0.81 [87]E(x871,x872)+E(x871,x873)+~P5(x871,f30(x873,x872))
% 0.21/0.81 [91]~P5(x911,x913)+~P5(x911,x912)+P5(x911,f5(x912,x913))
% 0.21/0.81 [124]~E(f9(x1243,x1241),x1242)+P5(f30(f30(x1241,x1241),f30(x1241,f30(x1242,x1242))),f8(x1243))+~P5(f30(f30(x1241,x1241),f30(x1241,f30(x1242,x1242))),f7(a22,a22))
% 0.21/0.81 [142]~P5(x1422,f13(x1421))+~P5(f30(f30(x1421,x1421),f30(x1421,f30(f30(f30(x1422,x1422),f30(x1422,f30(x1423,x1423))),f30(f30(x1422,x1422),f30(x1422,f30(x1423,x1423)))))),f7(a22,f7(a22,a22)))+P5(f30(f30(x1421,x1421),f30(x1421,f30(f30(f30(x1422,x1422),f30(x1422,f30(f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1421,f7(f30(x1422,x1422),a22)),a22))))))),f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1421,f7(f30(x1422,x1422),a22)),a22)))))))))),f30(f30(x1422,x1422),f30(x1422,f30(f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1421,f7(f30(x1422,x1422),a22)),a22))))))),f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1421,f7(f30(x1422,x1422),a22)),a22))))))))))))),a3)
% 0.21/0.81 [108]~P5(x1082,x1084)+~P5(x1081,x1083)+P5(f30(f30(x1081,x1081),f30(x1081,f30(x1082,x1082))),f7(x1083,x1084))
% 0.21/0.81 [136]~P5(f30(f30(f30(f30(x1362,x1362),f30(x1362,f30(x1363,x1363))),f30(f30(x1362,x1362),f30(x1362,f30(x1363,x1363)))),f30(f30(f30(x1362,x1362),f30(x1362,f30(x1363,x1363))),f30(x1361,x1361))),x1364)+P5(f30(f30(f30(f30(x1361,x1361),f30(x1361,f30(x1362,x1362))),f30(f30(x1361,x1361),f30(x1361,f30(x1362,x1362)))),f30(f30(f30(x1361,x1361),f30(x1361,f30(x1362,x1362))),f30(x1363,x1363))),f25(x1364))+~P5(f30(f30(f30(f30(x1361,x1361),f30(x1361,f30(x1362,x1362))),f30(f30(x1361,x1361),f30(x1361,f30(x1362,x1362)))),f30(f30(f30(x1361,x1361),f30(x1361,f30(x1362,x1362))),f30(x1363,x1363))),f7(f7(a22,a22),a22))
% 0.21/0.81 [137]~P5(f30(f30(f30(f30(x1372,x1372),f30(x1372,f30(x1371,x1371))),f30(f30(x1372,x1372),f30(x1372,f30(x1371,x1371)))),f30(f30(f30(x1372,x1372),f30(x1372,f30(x1371,x1371))),f30(x1373,x1373))),x1374)+P5(f30(f30(f30(f30(x1371,x1371),f30(x1371,f30(x1372,x1372))),f30(f30(x1371,x1371),f30(x1371,f30(x1372,x1372)))),f30(f30(f30(x1371,x1371),f30(x1371,f30(x1372,x1372))),f30(x1373,x1373))),f15(x1374))+~P5(f30(f30(f30(f30(x1371,x1371),f30(x1371,f30(x1372,x1372))),f30(f30(x1371,x1371),f30(x1371,f30(x1372,x1372)))),f30(f30(f30(x1371,x1371),f30(x1371,f30(x1372,x1372))),f30(x1373,x1373))),f7(f7(a22,a22),a22))
% 0.21/0.81 [141]P5(f30(f30(x1411,x1411),f30(x1411,f30(x1412,x1412))),f9(x1413,x1414))+~P5(f30(f30(x1411,x1411),f30(x1411,f30(x1412,x1412))),f7(a22,a22))+~P5(x1412,f13(f13(f15(f7(f5(x1413,f7(f13(f13(f15(f7(f5(x1414,f7(f30(x1411,x1411),a22)),a22)))),a22)),a22)))))
% 0.21/0.81 [143]~P4(x1432,x1435,x1431)+~P5(f30(f30(x1433,x1433),f30(x1433,f30(x1434,x1434))),f13(x1435))+E(f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1431,f7(f30(f30(f30(f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1432,f7(f30(x1433,x1433),a22)),a22))))))),f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1432,f7(f30(x1433,x1433),a22)),a22)))))))),f30(f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1432,f7(f30(x1433,x1433),a22)),a22))))))),f30(f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1432,f7(f30(x1434,x1434),a22)),a22))))))),f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1432,f7(f30(x1434,x1434),a22)),a22)))))))))),f30(f30(f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1432,f7(f30(x1433,x1433),a22)),a22))))))),f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1432,f7(f30(x1433,x1433),a22)),a22)))))))),f30(f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1432,f7(f30(x1433,x1433),a22)),a22))))))),f30(f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1432,f7(f30(x1434,x1434),a22)),a22))))))),f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1432,f7(f30(x1434,x1434),a22)),a22))))))))))),a22)),a22))))))),f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1432,f7(f30(f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1435,f7(f30(f30(f30(x1433,x1433),f30(x1433,f30(x1434,x1434))),f30(f30(x1433,x1433),f30(x1433,f30(x1434,x1434)))),a22)),a22))))))),f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1435,f7(f30(f30(f30(x1433,x1433),f30(x1433,f30(x1434,x1434))),f30(f30(x1433,x1433),f30(x1433,f30(x1434,x1434)))),a22)),a22)))))))),a22)),a22))))))))
% 0.21/0.81 [121]~P2(x1211)+P9(x1211)+~E(f7(f13(f13(x1211)),f13(f13(x1211))),f13(x1211))+~P7(f13(f13(f15(f7(x1211,a22)))),f13(f13(x1211)))
% 0.21/0.81 [120]~P2(x1201)+P3(x1201,x1202,x1203)+~E(f13(f13(x1202)),f13(x1201))+~P7(f13(f13(f15(f7(x1201,a22)))),f13(f13(x1203)))
% 0.21/0.81 [129]~P9(x1293)+~P9(x1292)+~P3(x1291,x1292,x1293)+P4(x1291,x1292,x1293)+P5(f30(f30(f18(x1291,x1292,x1293),f18(x1291,x1292,x1293)),f30(f18(x1291,x1292,x1293),f30(f19(x1291,x1292,x1293),f19(x1291,x1292,x1293)))),f13(x1292))
% 0.21/0.81 [144]~P9(x1443)+~P9(x1442)+~P3(x1441,x1442,x1443)+P4(x1441,x1442,x1443)+~E(f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1443,f7(f30(f30(f30(f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1441,f7(f30(f18(x1441,x1442,x1443),f18(x1441,x1442,x1443)),a22)),a22))))))),f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1441,f7(f30(f18(x1441,x1442,x1443),f18(x1441,x1442,x1443)),a22)),a22)))))))),f30(f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1441,f7(f30(f18(x1441,x1442,x1443),f18(x1441,x1442,x1443)),a22)),a22))))))),f30(f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1441,f7(f30(f19(x1441,x1442,x1443),f19(x1441,x1442,x1443)),a22)),a22))))))),f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1441,f7(f30(f19(x1441,x1442,x1443),f19(x1441,x1442,x1443)),a22)),a22)))))))))),f30(f30(f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1441,f7(f30(f18(x1441,x1442,x1443),f18(x1441,x1442,x1443)),a22)),a22))))))),f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1441,f7(f30(f18(x1441,x1442,x1443),f18(x1441,x1442,x1443)),a22)),a22)))))))),f30(f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1441,f7(f30(f18(x1441,x1442,x1443),f18(x1441,x1442,x1443)),a22)),a22))))))),f30(f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1441,f7(f30(f19(x1441,x1442,x1443),f19(x1441,x1442,x1443)),a22)),a22))))))),f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1441,f7(f30(f19(x1441,x1442,x1443),f19(x1441,x1442,x1443)),a22)),a22))))))))))),a22)),a22))))))),f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1441,f7(f30(f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1442,f7(f30(f30(f30(f18(x1441,x1442,x1443),f18(x1441,x1442,x1443)),f30(f18(x1441,x1442,x1443),f30(f19(x1441,x1442,x1443),f19(x1441,x1442,x1443)))),f30(f30(f18(x1441,x1442,x1443),f18(x1441,x1442,x1443)),f30(f18(x1441,x1442,x1443),f30(f19(x1441,x1442,x1443),f19(x1441,x1442,x1443))))),a22)),a22))))))),f13(f5(a6,f7(a22,f13(f13(f15(f7(f5(x1442,f7(f30(f30(f30(f18(x1441,x1442,x1443),f18(x1441,x1442,x1443)),f30(f18(x1441,x1442,x1443),f30(f19(x1441,x1442,x1443),f19(x1441,x1442,x1443)))),f30(f30(f18(x1441,x1442,x1443),f18(x1441,x1442,x1443)),f30(f18(x1441,x1442,x1443),f30(f19(x1441,x1442,x1443),f19(x1441,x1442,x1443))))),a22)),a22)))))))),a22)),a22))))))))
% 0.21/0.81 %EqnAxiom
% 0.21/0.81 [1]E(x11,x11)
% 0.21/0.81 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.81 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.81 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 0.21/0.81 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 0.21/0.81 [6]~E(x61,x62)+E(f7(x61,x63),f7(x62,x63))
% 0.21/0.81 [7]~E(x71,x72)+E(f7(x73,x71),f7(x73,x72))
% 0.21/0.81 [8]~E(x81,x82)+E(f13(x81),f13(x82))
% 0.21/0.81 [9]~E(x91,x92)+E(f15(x91),f15(x92))
% 0.21/0.81 [10]~E(x101,x102)+E(f30(x101,x103),f30(x102,x103))
% 0.21/0.81 [11]~E(x111,x112)+E(f30(x113,x111),f30(x113,x112))
% 0.21/0.81 [12]~E(x121,x122)+E(f8(x121),f8(x122))
% 0.21/0.81 [13]~E(x131,x132)+E(f18(x131,x133,x134),f18(x132,x133,x134))
% 0.21/0.81 [14]~E(x141,x142)+E(f18(x143,x141,x144),f18(x143,x142,x144))
% 0.21/0.81 [15]~E(x151,x152)+E(f18(x153,x154,x151),f18(x153,x154,x152))
% 0.21/0.81 [16]~E(x161,x162)+E(f9(x161,x163),f9(x162,x163))
% 0.21/0.81 [17]~E(x171,x172)+E(f9(x173,x171),f9(x173,x172))
% 0.21/0.81 [18]~E(x181,x182)+E(f17(x181,x183),f17(x182,x183))
% 0.21/0.81 [19]~E(x191,x192)+E(f17(x193,x191),f17(x193,x192))
% 0.21/0.81 [20]~E(x201,x202)+E(f19(x201,x203,x204),f19(x202,x203,x204))
% 0.21/0.82 [21]~E(x211,x212)+E(f19(x213,x211,x214),f19(x213,x212,x214))
% 0.21/0.82 [22]~E(x221,x222)+E(f19(x223,x224,x221),f19(x223,x224,x222))
% 0.21/0.82 [23]~E(x231,x232)+E(f16(x231),f16(x232))
% 0.21/0.82 [24]~E(x241,x242)+E(f25(x241),f25(x242))
% 0.21/0.82 [25]~E(x251,x252)+E(f27(x251),f27(x252))
% 0.21/0.82 [26]~E(x261,x262)+E(f10(x261),f10(x262))
% 0.21/0.82 [27]~E(x271,x272)+E(f4(x271),f4(x272))
% 0.21/0.82 [28]~E(x281,x282)+E(f28(x281),f28(x282))
% 0.21/0.82 [29]~E(x291,x292)+E(f26(x291),f26(x292))
% 0.21/0.82 [30]~P1(x301)+P1(x302)+~E(x301,x302)
% 0.21/0.82 [31]~P2(x311)+P2(x312)+~E(x311,x312)
% 0.21/0.82 [32]P5(x322,x323)+~E(x321,x322)+~P5(x321,x323)
% 0.21/0.82 [33]P5(x333,x332)+~E(x331,x332)+~P5(x333,x331)
% 0.21/0.82 [34]P7(x342,x343)+~E(x341,x342)+~P7(x341,x343)
% 0.21/0.82 [35]P7(x353,x352)+~E(x351,x352)+~P7(x353,x351)
% 0.21/0.82 [36]P3(x362,x363,x364)+~E(x361,x362)+~P3(x361,x363,x364)
% 0.21/0.82 [37]P3(x373,x372,x374)+~E(x371,x372)+~P3(x373,x371,x374)
% 0.21/0.82 [38]P3(x383,x384,x382)+~E(x381,x382)+~P3(x383,x384,x381)
% 0.21/0.82 [39]~P8(x391)+P8(x392)+~E(x391,x392)
% 0.21/0.82 [40]P4(x402,x403,x404)+~E(x401,x402)+~P4(x401,x403,x404)
% 0.21/0.82 [41]P4(x413,x412,x414)+~E(x411,x412)+~P4(x413,x411,x414)
% 0.21/0.82 [42]P4(x423,x424,x422)+~E(x421,x422)+~P4(x423,x424,x421)
% 0.21/0.82 [43]~P9(x431)+P9(x432)+~E(x431,x432)
% 0.21/0.82 [44]P6(x442,x443,x444)+~E(x441,x442)+~P6(x441,x443,x444)
% 0.21/0.82 [45]P6(x453,x452,x454)+~E(x451,x452)+~P6(x453,x451,x454)
% 0.21/0.82 [46]P6(x463,x464,x462)+~E(x461,x462)+~P6(x463,x464,x461)
% 0.21/0.82 [47]~P10(x471)+P10(x472)+~E(x471,x472)
% 0.21/0.82
% 0.21/0.82 %-------------------------------------------
% 0.21/0.82 cnf(145,plain,
% 0.21/0.82 (E(a21,f5(a21,a31))),
% 0.21/0.82 inference(scs_inference,[],[50,2])).
% 0.21/0.82 cnf(151,plain,
% 0.21/0.82 (P7(x1511,a22)),
% 0.21/0.82 inference(rename_variables,[],[52])).
% 0.21/0.82 cnf(152,plain,
% 0.21/0.82 (~E(a31,f5(a21,a31))),
% 0.21/0.82 inference(scs_inference,[],[50,52,69,2,73,72,35,3])).
% 0.21/0.82 cnf(154,plain,
% 0.21/0.82 (P7(x1541,a22)),
% 0.21/0.82 inference(rename_variables,[],[52])).
% 0.21/0.82 cnf(199,plain,
% 0.21/0.82 (E(f5(f5(a21,a31),x1991),f5(a21,x1991))),
% 0.21/0.82 inference(scs_inference,[],[50,52,151,69,48,49,51,2,73,72,35,3,118,75,74,78,130,126,102,85,84,81,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 0.21/0.82 cnf(202,plain,
% 0.21/0.82 (~P5(f17(a21,a31),a31)),
% 0.21/0.82 inference(scs_inference,[],[50,52,151,69,48,49,51,2,73,72,35,3,118,75,74,78,130,126,102,85,84,81,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,105,90])).
% 0.21/0.82 cnf(204,plain,
% 0.21/0.82 (P5(f17(a21,a31),a21)),
% 0.21/0.82 inference(scs_inference,[],[50,52,151,69,48,49,51,2,73,72,35,3,118,75,74,78,130,126,102,85,84,81,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,105,90,80])).
% 0.21/0.82 cnf(230,plain,
% 0.21/0.82 (P5(f30(f30(a1,a1),f30(a1,f30(a1,a1))),f7(a22,a22))),
% 0.21/0.82 inference(scs_inference,[],[50,52,151,154,69,48,49,51,2,73,72,35,3,118,75,74,78,130,126,102,85,84,81,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,105,90,80,116,117,113,111,34,33,32,83,79,82,127,91,87,108])).
% 0.21/0.82 cnf(234,plain,
% 0.21/0.82 (~P5(f30(f30(f30(f30(x2341,x2341),f30(x2341,f30(x2342,x2342))),f30(f30(x2341,x2341),f30(x2341,f30(x2342,x2342)))),f30(f30(f30(x2341,x2341),f30(x2341,f30(x2342,x2342))),f30(a1,a1))),f15(f7(x2343,f10(a22))))),
% 0.21/0.82 inference(scs_inference,[],[50,52,151,154,69,48,49,51,2,73,72,35,3,118,75,74,78,130,126,102,85,84,81,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,105,90,80,116,117,113,111,34,33,32,83,79,82,127,91,87,108,114,134])).
% 0.21/0.82 cnf(273,plain,
% 0.21/0.82 (P5(f30(x2731,x2732),a22)),
% 0.21/0.82 inference(rename_variables,[],[56])).
% 0.21/0.82 cnf(289,plain,
% 0.21/0.82 (P5(f17(a21,a31),f5(a21,a31))),
% 0.21/0.82 inference(scs_inference,[],[50,56,273,52,49,234,230,199,204,145,152,89,88,107,135,73,72,82,127,87,83,91,2,3,35,33])).
% 0.21/0.82 cnf(309,plain,
% 0.21/0.82 ($false),
% 0.21/0.82 inference(scs_inference,[],[289,202,88]),
% 0.21/0.82 ['proof']).
% 0.21/0.82 % SZS output end Proof
% 0.21/0.82 % Total time :0.140000s
%------------------------------------------------------------------------------