TSTP Solution File: SET085-6 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET085-6 : 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 : n025.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 14:28:35 EDT 2023
% Result : Unsatisfiable 0.21s 0.75s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET085-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 12:12:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 0.21/0.75 %-------------------------------------------
% 0.21/0.75 % File :CSE---1.6
% 0.21/0.75 % Problem :theBenchmark
% 0.21/0.75 % Transform :cnf
% 0.21/0.75 % Format :tptp:raw
% 0.21/0.75 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.75
% 0.21/0.75 % Result :Theorem 0.120000s
% 0.21/0.75 % Output :CNFRefutation 0.120000s
% 0.21/0.75 %-------------------------------------------
% 0.21/0.75 %--------------------------------------------------------------------------
% 0.21/0.75 % File : SET085-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.21/0.75 % Domain : Set Theory
% 0.21/0.75 % Problem : Unordered pair that is a singleton
% 0.21/0.75 % Version : [Qua92] axioms.
% 0.21/0.75 % English :
% 0.21/0.75
% 0.21/0.75 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 0.21/0.75 % Source : [TPTP]
% 0.21/0.75 % Names :
% 0.21/0.75
% 0.21/0.75 % Status : Unsatisfiable
% 0.21/0.75 % Rating : 0.14 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, 0.20 v6.4.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.30 v5.4.0, 0.35 v5.3.0, 0.33 v5.2.0, 0.25 v5.1.0, 0.29 v4.1.0, 0.31 v4.0.1, 0.36 v3.7.0, 0.30 v3.5.0, 0.27 v3.4.0, 0.25 v3.3.0, 0.29 v3.2.0, 0.23 v3.1.0, 0.27 v2.7.0, 0.17 v2.6.0, 0.11 v2.5.0, 0.27 v2.4.0, 0.00 v2.3.0, 0.12 v2.2.1, 0.33 v2.2.0, 0.33 v2.1.0
% 0.21/0.75 % Syntax : Number of clauses : 95 ( 33 unt; 8 nHn; 66 RR)
% 0.21/0.75 % Number of literals : 185 ( 42 equ; 86 neg)
% 0.21/0.75 % Maximal clause size : 5 ( 1 avg)
% 0.21/0.75 % Maximal term depth : 6 ( 1 avg)
% 0.21/0.75 % Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% 0.21/0.75 % Number of functors : 41 ( 41 usr; 11 con; 0-3 aty)
% 0.21/0.75 % Number of variables : 176 ( 25 sgn)
% 0.21/0.75 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.21/0.75
% 0.21/0.75 % Comments : Not in [Qua92].
% 0.21/0.75 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 0.21/0.75 %--------------------------------------------------------------------------
% 0.21/0.75 %----Include von Neuman-Bernays-Godel set theory axioms
% 0.21/0.75 include('Axioms/SET004-0.ax').
% 0.21/0.75 %--------------------------------------------------------------------------
% 0.21/0.75 cnf(prove_singleton_in_unordered_pair3_1,negated_conjecture,
% 0.21/0.75 unordered_pair(y,z) = singleton(x) ).
% 0.21/0.75
% 0.21/0.75 cnf(prove_singleton_in_unordered_pair3_2,negated_conjecture,
% 0.21/0.75 member(x,universal_class) ).
% 0.21/0.75
% 0.21/0.75 cnf(prove_singleton_in_unordered_pair3_3,negated_conjecture,
% 0.21/0.75 x != y ).
% 0.21/0.75
% 0.21/0.75 cnf(prove_singleton_in_unordered_pair3_4,negated_conjecture,
% 0.21/0.75 x != z ).
% 0.21/0.75
% 0.21/0.75 %--------------------------------------------------------------------------
% 0.21/0.75 %-------------------------------------------
% 0.21/0.75 % Proof found
% 0.21/0.75 % SZS status Theorem for theBenchmark
% 0.21/0.75 % SZS output start Proof
% 0.21/0.76 %ClaNum:122(EqnAxiom:42)
% 0.21/0.76 %VarNum:718(SingletonVarNum:150)
% 0.21/0.76 %MaxLitNum:5
% 0.21/0.76 %MaxfuncDepth:24
% 0.21/0.76 %SharedTerms:38
% 0.21/0.76 %goalClause: 46 48 59 60
% 0.21/0.76 %singleGoalClaCount:4
% 0.21/0.76 [43]P1(a1)
% 0.21/0.76 [44]P2(a2)
% 0.21/0.76 [45]P5(a1,a17)
% 0.21/0.76 [46]P5(a23,a17)
% 0.21/0.76 [59]~E(a25,a23)
% 0.21/0.76 [60]~E(a26,a23)
% 0.21/0.76 [48]E(f24(a25,a26),f24(a23,a23))
% 0.21/0.76 [49]P6(a4,f5(a17,a17))
% 0.21/0.76 [50]P6(a18,f5(a17,a17))
% 0.21/0.76 [56]E(f9(f8(f10(f5(a21,a17))),a21),a12)
% 0.21/0.76 [57]E(f9(f5(a17,a17),f9(f5(a17,a17),f7(f6(f7(a4),f8(f10(f5(a4,a17))))))),a21)
% 0.21/0.76 [47]P6(x471,a17)
% 0.21/0.76 [54]P6(f19(x541),f5(f5(a17,a17),a17))
% 0.21/0.76 [55]P6(f10(x551),f5(f5(a17,a17),a17))
% 0.21/0.76 [58]E(f9(f8(x581),f7(f8(f9(f6(f8(f10(f5(a4,a17))),x581),a12)))),f3(x581))
% 0.21/0.76 [51]P5(f24(x511,x512),a17)
% 0.21/0.76 [52]P6(f6(x521,x522),f5(a17,a17))
% 0.21/0.76 [53]E(f9(f5(x531,x532),x533),f9(x533,f5(x531,x532)))
% 0.21/0.76 [61]~P7(x611)+P2(x611)
% 0.21/0.76 [62]~P8(x621)+P2(x621)
% 0.21/0.76 [65]~P1(x651)+P6(a1,x651)
% 0.21/0.76 [66]~P1(x661)+P5(a13,x661)
% 0.21/0.76 [68]P5(f20(x681),x681)+E(x681,a13)
% 0.21/0.76 [69]~P2(x691)+P6(x691,f5(a17,a17))
% 0.21/0.76 [67]E(x671,a13)+E(f9(x671,f20(x671)),a13)
% 0.21/0.76 [77]~P8(x771)+E(f5(f8(f8(x771)),f8(f8(x771))),f8(x771))
% 0.21/0.76 [87]~P7(x871)+P2(f8(f10(f5(x871,a17))))
% 0.21/0.76 [91]~P5(x911,a17)+P5(f8(f9(a4,f5(a17,x911))),a17)
% 0.21/0.76 [93]~P9(x931)+P6(f6(x931,f8(f10(f5(x931,a17)))),a12)
% 0.21/0.76 [94]~P2(x941)+P6(f6(x941,f8(f10(f5(x941,a17)))),a12)
% 0.21/0.76 [95]~P8(x951)+P6(f8(f8(f10(f5(x951,a17)))),f8(f8(x951)))
% 0.21/0.76 [100]P9(x1001)+~P6(f6(x1001,f8(f10(f5(x1001,a17)))),a12)
% 0.21/0.76 [109]~P1(x1091)+P6(f8(f8(f10(f5(f9(a18,f5(x1091,a17)),a17)))),x1091)
% 0.21/0.76 [113]~P5(x1131,a17)+P5(f7(f8(f8(f10(f5(f9(a4,f5(f7(x1131),a17)),a17))))),a17)
% 0.21/0.76 [63]~E(x632,x631)+P6(x631,x632)
% 0.21/0.76 [64]~E(x641,x642)+P6(x641,x642)
% 0.21/0.76 [71]P6(x711,x712)+P5(f14(x711,x712),x711)
% 0.21/0.76 [72]~P5(x721,x722)+~P5(x721,f7(x722))
% 0.21/0.76 [75]~P5(x751,a17)+P5(x751,f24(x752,x751))
% 0.21/0.76 [76]~P5(x761,a17)+P5(x761,f24(x761,x762))
% 0.21/0.76 [81]P6(x811,x812)+~P5(f14(x811,x812),x812)
% 0.21/0.76 [90]~P5(x902,f8(x901))+~E(f9(x901,f5(f24(x902,x902),a17)),a13)
% 0.21/0.76 [99]P5(x991,x992)+~P5(f24(f24(x991,x991),f24(x991,f24(x992,x992))),a4)
% 0.21/0.76 [106]~P5(f24(f24(x1061,x1061),f24(x1061,f24(x1062,x1062))),a18)+E(f7(f9(f7(x1061),f7(f24(x1061,x1061)))),x1062)
% 0.21/0.76 [83]P2(x831)+~P3(x831,x832,x833)
% 0.21/0.76 [84]P8(x841)+~P4(x842,x843,x841)
% 0.21/0.76 [85]P8(x851)+~P4(x852,x851,x853)
% 0.21/0.76 [89]~P4(x891,x892,x893)+P3(x891,x892,x893)
% 0.21/0.76 [79]P5(x791,x792)+~P5(x791,f9(x793,x792))
% 0.21/0.76 [80]P5(x801,x802)+~P5(x801,f9(x802,x803))
% 0.21/0.76 [86]~P3(x862,x861,x863)+E(f8(f8(x861)),f8(x862))
% 0.21/0.76 [96]~P5(x961,f5(x962,x963))+E(f24(f24(f11(x961),f11(x961)),f24(f11(x961),f24(f22(x961),f22(x961)))),x961)
% 0.21/0.76 [98]~P3(x981,x983,x982)+P6(f8(f8(f10(f5(x981,a17)))),f8(f8(x982)))
% 0.21/0.76 [101]P5(x1011,x1012)+~P5(f24(f24(x1013,x1013),f24(x1013,f24(x1011,x1011))),f5(x1014,x1012))
% 0.21/0.76 [102]P5(x1021,x1022)+~P5(f24(f24(x1021,x1021),f24(x1021,f24(x1023,x1023))),f5(x1022,x1024))
% 0.21/0.76 [114]~P5(f24(f24(f24(f24(x1143,x1143),f24(x1143,f24(x1141,x1141))),f24(f24(x1143,x1143),f24(x1143,f24(x1141,x1141)))),f24(f24(f24(x1143,x1143),f24(x1143,f24(x1141,x1141))),f24(x1142,x1142))),f19(x1144))+P5(f24(f24(f24(f24(x1141,x1141),f24(x1141,f24(x1142,x1142))),f24(f24(x1141,x1141),f24(x1141,f24(x1142,x1142)))),f24(f24(f24(x1141,x1141),f24(x1141,f24(x1142,x1142))),f24(x1143,x1143))),x1144)
% 0.21/0.76 [115]~P5(f24(f24(f24(f24(x1152,x1152),f24(x1152,f24(x1151,x1151))),f24(f24(x1152,x1152),f24(x1152,f24(x1151,x1151)))),f24(f24(f24(x1152,x1152),f24(x1152,f24(x1151,x1151))),f24(x1153,x1153))),f10(x1154))+P5(f24(f24(f24(f24(x1151,x1151),f24(x1151,f24(x1152,x1152))),f24(f24(x1151,x1151),f24(x1151,f24(x1152,x1152)))),f24(f24(f24(x1151,x1151),f24(x1151,f24(x1152,x1152))),f24(x1153,x1153))),x1154)
% 0.21/0.76 [119]~P5(f24(f24(x1194,x1194),f24(x1194,f24(x1191,x1191))),f6(x1192,x1193))+P5(x1191,f8(f8(f10(f5(f9(x1192,f5(f8(f8(f10(f5(f9(x1193,f5(f24(x1194,x1194),a17)),a17)))),a17)),a17)))))
% 0.21/0.76 [92]~P2(x921)+P7(x921)+~P2(f8(f10(f5(x921,a17))))
% 0.21/0.76 [103]P2(x1031)+~P6(x1031,f5(a17,a17))+~P6(f6(x1031,f8(f10(f5(x1031,a17)))),a12)
% 0.21/0.76 [111]P1(x1111)+~P5(a13,x1111)+~P6(f8(f8(f10(f5(f9(a18,f5(x1111,a17)),a17)))),x1111)
% 0.21/0.76 [118]~P5(x1181,a17)+E(x1181,a13)+P5(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(a2,f5(f24(x1181,x1181),a17)),a17))))))),x1181)
% 0.21/0.76 [70]~P6(x702,x701)+~P6(x701,x702)+E(x701,x702)
% 0.21/0.76 [73]P5(x731,x732)+P5(x731,f7(x732))+~P5(x731,a17)
% 0.21/0.76 [88]P5(x882,f8(x881))+~P5(x882,a17)+E(f9(x881,f5(f24(x882,x882),a17)),a13)
% 0.21/0.76 [107]~P5(x1071,x1072)+~P5(f24(f24(x1071,x1071),f24(x1071,f24(x1072,x1072))),f5(a17,a17))+P5(f24(f24(x1071,x1071),f24(x1071,f24(x1072,x1072))),a4)
% 0.21/0.76 [108]~P5(f24(f24(x1081,x1081),f24(x1081,f24(x1082,x1082))),f5(a17,a17))+~E(f7(f9(f7(x1081),f7(f24(x1081,x1081)))),x1082)+P5(f24(f24(x1081,x1081),f24(x1081,f24(x1082,x1082))),a18)
% 0.21/0.76 [110]~P2(x1101)+~P5(x1102,a17)+P5(f8(f8(f10(f5(f9(x1101,f5(x1102,a17)),a17)))),a17)
% 0.21/0.76 [74]~P5(x741,x743)+P5(x741,x742)+~P6(x743,x742)
% 0.21/0.76 [78]E(x781,x782)+E(x781,x783)+~P5(x781,f24(x783,x782))
% 0.21/0.76 [82]~P5(x821,x823)+~P5(x821,x822)+P5(x821,f9(x822,x823))
% 0.21/0.76 [97]~P5(x972,x974)+~P5(x971,x973)+P5(f24(f24(x971,x971),f24(x971,f24(x972,x972))),f5(x973,x974))
% 0.21/0.76 [116]~P5(f24(f24(f24(f24(x1162,x1162),f24(x1162,f24(x1163,x1163))),f24(f24(x1162,x1162),f24(x1162,f24(x1163,x1163)))),f24(f24(f24(x1162,x1162),f24(x1162,f24(x1163,x1163))),f24(x1161,x1161))),x1164)+P5(f24(f24(f24(f24(x1161,x1161),f24(x1161,f24(x1162,x1162))),f24(f24(x1161,x1161),f24(x1161,f24(x1162,x1162)))),f24(f24(f24(x1161,x1161),f24(x1161,f24(x1162,x1162))),f24(x1163,x1163))),f19(x1164))+~P5(f24(f24(f24(f24(x1161,x1161),f24(x1161,f24(x1162,x1162))),f24(f24(x1161,x1161),f24(x1161,f24(x1162,x1162)))),f24(f24(f24(x1161,x1161),f24(x1161,f24(x1162,x1162))),f24(x1163,x1163))),f5(f5(a17,a17),a17))
% 0.21/0.76 [117]~P5(f24(f24(f24(f24(x1172,x1172),f24(x1172,f24(x1171,x1171))),f24(f24(x1172,x1172),f24(x1172,f24(x1171,x1171)))),f24(f24(f24(x1172,x1172),f24(x1172,f24(x1171,x1171))),f24(x1173,x1173))),x1174)+P5(f24(f24(f24(f24(x1171,x1171),f24(x1171,f24(x1172,x1172))),f24(f24(x1171,x1171),f24(x1171,f24(x1172,x1172)))),f24(f24(f24(x1171,x1171),f24(x1171,f24(x1172,x1172))),f24(x1173,x1173))),f10(x1174))+~P5(f24(f24(f24(f24(x1171,x1171),f24(x1171,f24(x1172,x1172))),f24(f24(x1171,x1171),f24(x1171,f24(x1172,x1172)))),f24(f24(f24(x1171,x1171),f24(x1171,f24(x1172,x1172))),f24(x1173,x1173))),f5(f5(a17,a17),a17))
% 0.21/0.76 [120]P5(f24(f24(x1201,x1201),f24(x1201,f24(x1202,x1202))),f6(x1203,x1204))+~P5(f24(f24(x1201,x1201),f24(x1201,f24(x1202,x1202))),f5(a17,a17))+~P5(x1202,f8(f8(f10(f5(f9(x1203,f5(f8(f8(f10(f5(f9(x1204,f5(f24(x1201,x1201),a17)),a17)))),a17)),a17)))))
% 0.21/0.76 [121]~P4(x1212,x1215,x1211)+~P5(f24(f24(x1213,x1213),f24(x1213,f24(x1214,x1214))),f8(x1215))+E(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f24(f24(f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f24(x1213,x1213),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f24(x1213,x1213),a17)),a17)))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f24(x1213,x1213),a17)),a17))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f24(x1214,x1214),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f24(x1214,x1214),a17)),a17)))))))))),f24(f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f24(x1213,x1213),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f24(x1213,x1213),a17)),a17)))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f24(x1213,x1213),a17)),a17))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f24(x1214,x1214),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f24(x1214,x1214),a17)),a17))))))))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1215,f5(f24(f24(f24(x1213,x1213),f24(x1213,f24(x1214,x1214))),f24(f24(x1213,x1213),f24(x1213,f24(x1214,x1214)))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1215,f5(f24(f24(f24(x1213,x1213),f24(x1213,f24(x1214,x1214))),f24(f24(x1213,x1213),f24(x1213,f24(x1214,x1214)))),a17)),a17)))))))),a17)),a17))))))))
% 0.21/0.76 [105]~P2(x1051)+P8(x1051)+~E(f5(f8(f8(x1051)),f8(f8(x1051))),f8(x1051))+~P6(f8(f8(f10(f5(x1051,a17)))),f8(f8(x1051)))
% 0.21/0.76 [104]~P2(x1041)+P3(x1041,x1042,x1043)+~E(f8(f8(x1042)),f8(x1041))+~P6(f8(f8(f10(f5(x1041,a17)))),f8(f8(x1043)))
% 0.21/0.76 [112]~P8(x1123)+~P8(x1122)+~P3(x1121,x1122,x1123)+P4(x1121,x1122,x1123)+P5(f24(f24(f15(x1121,x1122,x1123),f15(x1121,x1122,x1123)),f24(f15(x1121,x1122,x1123),f24(f16(x1121,x1122,x1123),f16(x1121,x1122,x1123)))),f8(x1122))
% 0.21/0.76 [122]~P8(x1223)+~P8(x1222)+~P3(x1221,x1222,x1223)+P4(x1221,x1222,x1223)+~E(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1223,f5(f24(f24(f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1221,f5(f24(f15(x1221,x1222,x1223),f15(x1221,x1222,x1223)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1221,f5(f24(f15(x1221,x1222,x1223),f15(x1221,x1222,x1223)),a17)),a17)))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1221,f5(f24(f15(x1221,x1222,x1223),f15(x1221,x1222,x1223)),a17)),a17))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1221,f5(f24(f16(x1221,x1222,x1223),f16(x1221,x1222,x1223)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1221,f5(f24(f16(x1221,x1222,x1223),f16(x1221,x1222,x1223)),a17)),a17)))))))))),f24(f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1221,f5(f24(f15(x1221,x1222,x1223),f15(x1221,x1222,x1223)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1221,f5(f24(f15(x1221,x1222,x1223),f15(x1221,x1222,x1223)),a17)),a17)))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1221,f5(f24(f15(x1221,x1222,x1223),f15(x1221,x1222,x1223)),a17)),a17))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1221,f5(f24(f16(x1221,x1222,x1223),f16(x1221,x1222,x1223)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1221,f5(f24(f16(x1221,x1222,x1223),f16(x1221,x1222,x1223)),a17)),a17))))))))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1221,f5(f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1222,f5(f24(f24(f24(f15(x1221,x1222,x1223),f15(x1221,x1222,x1223)),f24(f15(x1221,x1222,x1223),f24(f16(x1221,x1222,x1223),f16(x1221,x1222,x1223)))),f24(f24(f15(x1221,x1222,x1223),f15(x1221,x1222,x1223)),f24(f15(x1221,x1222,x1223),f24(f16(x1221,x1222,x1223),f16(x1221,x1222,x1223))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1222,f5(f24(f24(f24(f15(x1221,x1222,x1223),f15(x1221,x1222,x1223)),f24(f15(x1221,x1222,x1223),f24(f16(x1221,x1222,x1223),f16(x1221,x1222,x1223)))),f24(f24(f15(x1221,x1222,x1223),f15(x1221,x1222,x1223)),f24(f15(x1221,x1222,x1223),f24(f16(x1221,x1222,x1223),f16(x1221,x1222,x1223))))),a17)),a17)))))))),a17)),a17))))))))
% 0.21/0.76 %EqnAxiom
% 0.21/0.76 [1]E(x11,x11)
% 0.21/0.76 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.76 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.76 [4]~E(x41,x42)+E(f24(x41,x43),f24(x42,x43))
% 0.21/0.76 [5]~E(x51,x52)+E(f24(x53,x51),f24(x53,x52))
% 0.21/0.76 [6]~E(x61,x62)+E(f8(x61),f8(x62))
% 0.21/0.76 [7]~E(x71,x72)+E(f5(x71,x73),f5(x72,x73))
% 0.21/0.76 [8]~E(x81,x82)+E(f5(x83,x81),f5(x83,x82))
% 0.21/0.76 [9]~E(x91,x92)+E(f10(x91),f10(x92))
% 0.21/0.76 [10]~E(x101,x102)+E(f9(x101,x103),f9(x102,x103))
% 0.21/0.76 [11]~E(x111,x112)+E(f9(x113,x111),f9(x113,x112))
% 0.21/0.76 [12]~E(x121,x122)+E(f6(x121,x123),f6(x122,x123))
% 0.21/0.76 [13]~E(x131,x132)+E(f6(x133,x131),f6(x133,x132))
% 0.21/0.76 [14]~E(x141,x142)+E(f16(x141,x143,x144),f16(x142,x143,x144))
% 0.21/0.76 [15]~E(x151,x152)+E(f16(x153,x151,x154),f16(x153,x152,x154))
% 0.21/0.76 [16]~E(x161,x162)+E(f16(x163,x164,x161),f16(x163,x164,x162))
% 0.21/0.76 [17]~E(x171,x172)+E(f7(x171),f7(x172))
% 0.21/0.76 [18]~E(x181,x182)+E(f14(x181,x183),f14(x182,x183))
% 0.21/0.76 [19]~E(x191,x192)+E(f14(x193,x191),f14(x193,x192))
% 0.21/0.76 [20]~E(x201,x202)+E(f15(x201,x203,x204),f15(x202,x203,x204))
% 0.21/0.76 [21]~E(x211,x212)+E(f15(x213,x211,x214),f15(x213,x212,x214))
% 0.21/0.76 [22]~E(x221,x222)+E(f15(x223,x224,x221),f15(x223,x224,x222))
% 0.21/0.76 [23]~E(x231,x232)+E(f20(x231),f20(x232))
% 0.21/0.76 [24]~E(x241,x242)+E(f19(x241),f19(x242))
% 0.21/0.76 [25]~E(x251,x252)+E(f11(x251),f11(x252))
% 0.21/0.76 [26]~E(x261,x262)+E(f22(x261),f22(x262))
% 0.21/0.76 [27]~E(x271,x272)+E(f3(x271),f3(x272))
% 0.21/0.76 [28]~P1(x281)+P1(x282)+~E(x281,x282)
% 0.21/0.76 [29]~P2(x291)+P2(x292)+~E(x291,x292)
% 0.21/0.76 [30]P5(x302,x303)+~E(x301,x302)+~P5(x301,x303)
% 0.21/0.76 [31]P5(x313,x312)+~E(x311,x312)+~P5(x313,x311)
% 0.21/0.76 [32]P3(x322,x323,x324)+~E(x321,x322)+~P3(x321,x323,x324)
% 0.21/0.76 [33]P3(x333,x332,x334)+~E(x331,x332)+~P3(x333,x331,x334)
% 0.21/0.76 [34]P3(x343,x344,x342)+~E(x341,x342)+~P3(x343,x344,x341)
% 0.21/0.76 [35]P6(x352,x353)+~E(x351,x352)+~P6(x351,x353)
% 0.21/0.76 [36]P6(x363,x362)+~E(x361,x362)+~P6(x363,x361)
% 0.21/0.76 [37]~P7(x371)+P7(x372)+~E(x371,x372)
% 0.21/0.76 [38]~P8(x381)+P8(x382)+~E(x381,x382)
% 0.21/0.76 [39]P4(x392,x393,x394)+~E(x391,x392)+~P4(x391,x393,x394)
% 0.21/0.76 [40]P4(x403,x402,x404)+~E(x401,x402)+~P4(x403,x401,x404)
% 0.21/0.76 [41]P4(x413,x414,x412)+~E(x411,x412)+~P4(x413,x414,x411)
% 0.21/0.76 [42]~P9(x421)+P9(x422)+~E(x421,x422)
% 0.21/0.76
% 0.21/0.76 %-------------------------------------------
% 0.21/0.77 cnf(128,plain,
% 0.21/0.77 (P6(f24(a25,a26),f24(a23,a23))),
% 0.21/0.77 inference(scs_inference,[],[43,48,2,66,65,64])).
% 0.21/0.77 cnf(130,plain,
% 0.21/0.77 (P6(f24(a23,a23),f24(a25,a26))),
% 0.21/0.77 inference(scs_inference,[],[43,48,2,66,65,64,63])).
% 0.21/0.77 cnf(140,plain,
% 0.21/0.77 (P5(a23,f24(a23,x1401))),
% 0.21/0.77 inference(scs_inference,[],[46,43,44,48,2,66,65,64,63,69,113,109,91,76])).
% 0.21/0.77 cnf(169,plain,
% 0.21/0.77 (E(f24(f24(a25,a26),x1691),f24(f24(a23,a23),x1691))),
% 0.21/0.77 inference(scs_inference,[],[46,43,44,48,2,66,65,64,63,69,113,109,91,76,75,72,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 0.21/0.77 cnf(172,plain,
% 0.21/0.77 (~P5(f24(f24(x1721,x1721),f24(x1721,f24(a23,a23))),f5(x1722,f7(a17)))),
% 0.21/0.77 inference(scs_inference,[],[46,43,44,48,2,66,65,64,63,69,113,109,91,76,75,72,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,94,101])).
% 0.21/0.77 cnf(178,plain,
% 0.21/0.77 (~E(a17,f7(a17))),
% 0.21/0.77 inference(scs_inference,[],[46,43,44,48,2,66,65,64,63,69,113,109,91,76,75,72,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,94,101,102,99,31])).
% 0.21/0.77 cnf(222,plain,
% 0.21/0.77 (~P5(f24(f24(x2221,x2221),f24(x2221,f24(a23,a23))),f9(f5(x2222,f7(a17)),x2223))),
% 0.21/0.77 inference(scs_inference,[],[172,80])).
% 0.21/0.77 cnf(234,plain,
% 0.21/0.77 (~P6(a17,f5(x2341,f7(a17)))),
% 0.21/0.77 inference(scs_inference,[],[46,60,47,51,44,48,172,128,178,80,79,35,70,110,78,74])).
% 0.21/0.77 cnf(237,plain,
% 0.21/0.77 (~E(a23,a26)),
% 0.21/0.77 inference(scs_inference,[],[46,60,47,51,44,48,172,128,178,80,79,35,70,110,78,74,2])).
% 0.21/0.77 cnf(270,plain,
% 0.21/0.77 (E(a23,a25)),
% 0.21/0.77 inference(scs_inference,[],[56,130,237,140,74,63,78])).
% 0.21/0.77 cnf(277,plain,
% 0.21/0.77 (~E(a17,f9(f5(x2771,f7(a17)),x2772))),
% 0.21/0.77 inference(scs_inference,[],[56,45,51,222,130,237,140,74,63,78,2,75,64,31])).
% 0.21/0.77 cnf(281,plain,
% 0.21/0.77 (~P5(f24(f24(a25,a26),f24(a23,f24(a23,a23))),f9(f5(x2811,f7(a17)),f5(x2812,x2813)))),
% 0.21/0.77 inference(scs_inference,[],[56,53,45,51,222,169,130,237,140,74,63,78,2,75,64,31,3,30])).
% 0.21/0.77 cnf(318,plain,
% 0.21/0.77 ($false),
% 0.21/0.77 inference(scs_inference,[],[59,53,45,47,51,281,277,270,234,237,74,70,78,63,82,31,3,2]),
% 0.21/0.77 ['proof']).
% 0.21/0.77 % SZS output end Proof
% 0.21/0.77 % Total time :0.120000s
%------------------------------------------------------------------------------