TSTP Solution File: SET094-6 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET094-6 : 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 : n023.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 14:28:39 EDT 2023
% Result : Unsatisfiable 0.54s 0.68s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET094-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 11:30:41 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.54/0.67 %-------------------------------------------
% 0.54/0.67 % File :CSE---1.6
% 0.54/0.67 % Problem :theBenchmark
% 0.54/0.67 % Transform :cnf
% 0.54/0.67 % Format :tptp:raw
% 0.54/0.67 % Command :java -jar mcs_scs.jar %d %s
% 0.54/0.67
% 0.54/0.67 % Result :Theorem 0.050000s
% 0.54/0.67 % Output :CNFRefutation 0.050000s
% 0.54/0.67 %-------------------------------------------
% 0.54/0.68 %--------------------------------------------------------------------------
% 0.54/0.68 % File : SET094-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.54/0.68 % Domain : Set Theory
% 0.54/0.68 % Problem : Property 1 of singleton sets
% 0.54/0.68 % Version : [Qua92] axioms.
% 0.54/0.68 % English :
% 0.54/0.68
% 0.54/0.68 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 0.54/0.68 % Source : [Quaife]
% 0.54/0.68 % Names :
% 0.54/0.68
% 0.54/0.68 % Status : Unsatisfiable
% 0.54/0.68 % Rating : 0.14 v8.1.0, 0.11 v7.5.0, 0.16 v7.4.0, 0.18 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.20 v6.3.0, 0.09 v6.2.0, 0.30 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.40 v5.3.0, 0.33 v5.2.0, 0.25 v5.1.0, 0.24 v5.0.0, 0.21 v4.1.0, 0.15 v4.0.1, 0.27 v4.0.0, 0.36 v3.7.0, 0.20 v3.5.0, 0.27 v3.4.0, 0.25 v3.3.0, 0.21 v3.2.0, 0.15 v3.1.0, 0.18 v2.7.0, 0.25 v2.6.0, 0.11 v2.5.0, 0.27 v2.4.0, 0.00 v2.3.0, 0.12 v2.2.1, 0.17 v2.2.0, 0.00 v2.1.0
% 0.54/0.68 % Syntax : Number of clauses : 94 ( 32 unt; 8 nHn; 65 RR)
% 0.54/0.68 % Number of literals : 184 ( 41 equ; 85 neg)
% 0.54/0.68 % Maximal clause size : 5 ( 1 avg)
% 0.54/0.68 % Maximal term depth : 6 ( 1 avg)
% 0.54/0.68 % Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% 0.54/0.68 % Number of functors : 41 ( 41 usr; 10 con; 0-3 aty)
% 0.54/0.68 % Number of variables : 176 ( 25 sgn)
% 0.54/0.68 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.54/0.68
% 0.54/0.68 % Comments :
% 0.54/0.68 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 0.54/0.68 %--------------------------------------------------------------------------
% 0.54/0.68 %----Include von Neuman-Bernays-Godel set theory axioms
% 0.54/0.68 include('Axioms/SET004-0.ax').
% 0.54/0.68 %--------------------------------------------------------------------------
% 0.54/0.68 cnf(prove_property_of_singletons1_1,negated_conjecture,
% 0.54/0.68 singleton(member_of(x)) = x ).
% 0.54/0.68
% 0.54/0.68 cnf(prove_property_of_singletons1_2,negated_conjecture,
% 0.54/0.68 member(y,x) ).
% 0.54/0.68
% 0.54/0.68 cnf(prove_property_of_singletons1_3,negated_conjecture,
% 0.54/0.68 member_of(x) != y ).
% 0.54/0.68
% 0.54/0.68 %--------------------------------------------------------------------------
% 0.54/0.68 %-------------------------------------------
% 0.54/0.68 % Proof found
% 0.54/0.68 % SZS status Theorem for theBenchmark
% 0.54/0.68 % SZS output start Proof
% 0.54/0.68 %ClaNum:122(EqnAxiom:43)
% 0.54/0.68 %VarNum:718(SingletonVarNum:150)
% 0.54/0.68 %MaxLitNum:5
% 0.54/0.68 %MaxfuncDepth:24
% 0.54/0.68 %SharedTerms:36
% 0.54/0.68 %goalClause: 47 49 60
% 0.54/0.68 %singleGoalClaCount:3
% 0.54/0.68 [44]P1(a1)
% 0.54/0.68 [45]P2(a2)
% 0.54/0.68 [46]P5(a1,a18)
% 0.54/0.68 [47]P5(a24,a25)
% 0.54/0.68 [50]P6(a5,f6(a18,a18))
% 0.54/0.68 [51]P6(a19,f6(a18,a18))
% 0.54/0.68 [60]~E(f4(a25),a24)
% 0.54/0.68 [49]E(f26(f4(a25),f4(a25)),a25)
% 0.54/0.68 [57]E(f10(f9(f11(f6(a22,a18))),a22),a13)
% 0.54/0.68 [58]E(f10(f6(a18,a18),f10(f6(a18,a18),f8(f7(f8(a5),f9(f11(f6(a5,a18))))))),a22)
% 0.54/0.68 [48]P6(x481,a18)
% 0.54/0.68 [55]P6(f20(x551),f6(f6(a18,a18),a18))
% 0.54/0.68 [56]P6(f11(x561),f6(f6(a18,a18),a18))
% 0.54/0.68 [59]E(f10(f9(x591),f8(f9(f10(f7(f9(f11(f6(a5,a18))),x591),a13)))),f3(x591))
% 0.54/0.68 [52]P5(f26(x521,x522),a18)
% 0.54/0.68 [53]P6(f7(x531,x532),f6(a18,a18))
% 0.54/0.68 [54]E(f10(f6(x541,x542),x543),f10(x543,f6(x541,x542)))
% 0.54/0.68 [61]~P7(x611)+P2(x611)
% 0.54/0.68 [62]~P8(x621)+P2(x621)
% 0.54/0.68 [65]~P1(x651)+P6(a1,x651)
% 0.54/0.68 [66]~P1(x661)+P5(a14,x661)
% 0.54/0.68 [68]P5(f21(x681),x681)+E(x681,a14)
% 0.54/0.68 [69]~P2(x691)+P6(x691,f6(a18,a18))
% 0.54/0.68 [67]E(x671,a14)+E(f10(x671,f21(x671)),a14)
% 0.54/0.68 [77]~P8(x771)+E(f6(f9(f9(x771)),f9(f9(x771))),f9(x771))
% 0.54/0.68 [87]~P7(x871)+P2(f9(f11(f6(x871,a18))))
% 0.54/0.68 [91]~P5(x911,a18)+P5(f9(f10(a5,f6(a18,x911))),a18)
% 0.54/0.68 [93]~P9(x931)+P6(f7(x931,f9(f11(f6(x931,a18)))),a13)
% 0.54/0.68 [94]~P2(x941)+P6(f7(x941,f9(f11(f6(x941,a18)))),a13)
% 0.54/0.68 [95]~P8(x951)+P6(f9(f9(f11(f6(x951,a18)))),f9(f9(x951)))
% 0.54/0.68 [100]P9(x1001)+~P6(f7(x1001,f9(f11(f6(x1001,a18)))),a13)
% 0.54/0.68 [109]~P1(x1091)+P6(f9(f9(f11(f6(f10(a19,f6(x1091,a18)),a18)))),x1091)
% 0.54/0.68 [113]~P5(x1131,a18)+P5(f8(f9(f9(f11(f6(f10(a5,f6(f8(x1131),a18)),a18))))),a18)
% 0.54/0.68 [63]~E(x632,x631)+P6(x631,x632)
% 0.54/0.68 [64]~E(x641,x642)+P6(x641,x642)
% 0.54/0.68 [71]P6(x711,x712)+P5(f15(x711,x712),x711)
% 0.54/0.68 [72]~P5(x721,x722)+~P5(x721,f8(x722))
% 0.54/0.68 [75]~P5(x751,a18)+P5(x751,f26(x752,x751))
% 0.54/0.68 [76]~P5(x761,a18)+P5(x761,f26(x761,x762))
% 0.54/0.68 [81]P6(x811,x812)+~P5(f15(x811,x812),x812)
% 0.54/0.68 [90]~P5(x902,f9(x901))+~E(f10(x901,f6(f26(x902,x902),a18)),a14)
% 0.54/0.68 [99]P5(x991,x992)+~P5(f26(f26(x991,x991),f26(x991,f26(x992,x992))),a5)
% 0.54/0.68 [106]~P5(f26(f26(x1061,x1061),f26(x1061,f26(x1062,x1062))),a19)+E(f8(f10(f8(x1061),f8(f26(x1061,x1061)))),x1062)
% 0.54/0.68 [83]P2(x831)+~P3(x831,x832,x833)
% 0.54/0.68 [84]P8(x841)+~P4(x842,x843,x841)
% 0.54/0.68 [85]P8(x851)+~P4(x852,x851,x853)
% 0.54/0.68 [89]~P4(x891,x892,x893)+P3(x891,x892,x893)
% 0.54/0.68 [79]P5(x791,x792)+~P5(x791,f10(x793,x792))
% 0.54/0.68 [80]P5(x801,x802)+~P5(x801,f10(x802,x803))
% 0.54/0.68 [86]~P3(x862,x861,x863)+E(f9(f9(x861)),f9(x862))
% 0.54/0.68 [96]~P5(x961,f6(x962,x963))+E(f26(f26(f12(x961),f12(x961)),f26(f12(x961),f26(f23(x961),f23(x961)))),x961)
% 0.54/0.68 [98]~P3(x981,x983,x982)+P6(f9(f9(f11(f6(x981,a18)))),f9(f9(x982)))
% 0.54/0.68 [101]P5(x1011,x1012)+~P5(f26(f26(x1013,x1013),f26(x1013,f26(x1011,x1011))),f6(x1014,x1012))
% 0.54/0.68 [102]P5(x1021,x1022)+~P5(f26(f26(x1021,x1021),f26(x1021,f26(x1023,x1023))),f6(x1022,x1024))
% 0.54/0.68 [114]~P5(f26(f26(f26(f26(x1143,x1143),f26(x1143,f26(x1141,x1141))),f26(f26(x1143,x1143),f26(x1143,f26(x1141,x1141)))),f26(f26(f26(x1143,x1143),f26(x1143,f26(x1141,x1141))),f26(x1142,x1142))),f20(x1144))+P5(f26(f26(f26(f26(x1141,x1141),f26(x1141,f26(x1142,x1142))),f26(f26(x1141,x1141),f26(x1141,f26(x1142,x1142)))),f26(f26(f26(x1141,x1141),f26(x1141,f26(x1142,x1142))),f26(x1143,x1143))),x1144)
% 0.54/0.68 [115]~P5(f26(f26(f26(f26(x1152,x1152),f26(x1152,f26(x1151,x1151))),f26(f26(x1152,x1152),f26(x1152,f26(x1151,x1151)))),f26(f26(f26(x1152,x1152),f26(x1152,f26(x1151,x1151))),f26(x1153,x1153))),f11(x1154))+P5(f26(f26(f26(f26(x1151,x1151),f26(x1151,f26(x1152,x1152))),f26(f26(x1151,x1151),f26(x1151,f26(x1152,x1152)))),f26(f26(f26(x1151,x1151),f26(x1151,f26(x1152,x1152))),f26(x1153,x1153))),x1154)
% 0.54/0.68 [119]~P5(f26(f26(x1194,x1194),f26(x1194,f26(x1191,x1191))),f7(x1192,x1193))+P5(x1191,f9(f9(f11(f6(f10(x1192,f6(f9(f9(f11(f6(f10(x1193,f6(f26(x1194,x1194),a18)),a18)))),a18)),a18)))))
% 0.54/0.68 [92]~P2(x921)+P7(x921)+~P2(f9(f11(f6(x921,a18))))
% 0.54/0.68 [103]P2(x1031)+~P6(x1031,f6(a18,a18))+~P6(f7(x1031,f9(f11(f6(x1031,a18)))),a13)
% 0.54/0.68 [111]P1(x1111)+~P5(a14,x1111)+~P6(f9(f9(f11(f6(f10(a19,f6(x1111,a18)),a18)))),x1111)
% 0.54/0.68 [118]~P5(x1181,a18)+E(x1181,a14)+P5(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(a2,f6(f26(x1181,x1181),a18)),a18))))))),x1181)
% 0.54/0.68 [70]~P6(x702,x701)+~P6(x701,x702)+E(x701,x702)
% 0.54/0.68 [73]P5(x731,x732)+P5(x731,f8(x732))+~P5(x731,a18)
% 0.54/0.68 [88]P5(x882,f9(x881))+~P5(x882,a18)+E(f10(x881,f6(f26(x882,x882),a18)),a14)
% 0.54/0.68 [107]~P5(x1071,x1072)+~P5(f26(f26(x1071,x1071),f26(x1071,f26(x1072,x1072))),f6(a18,a18))+P5(f26(f26(x1071,x1071),f26(x1071,f26(x1072,x1072))),a5)
% 0.54/0.68 [108]~P5(f26(f26(x1081,x1081),f26(x1081,f26(x1082,x1082))),f6(a18,a18))+~E(f8(f10(f8(x1081),f8(f26(x1081,x1081)))),x1082)+P5(f26(f26(x1081,x1081),f26(x1081,f26(x1082,x1082))),a19)
% 0.54/0.68 [110]~P2(x1101)+~P5(x1102,a18)+P5(f9(f9(f11(f6(f10(x1101,f6(x1102,a18)),a18)))),a18)
% 0.54/0.68 [74]~P5(x741,x743)+P5(x741,x742)+~P6(x743,x742)
% 0.54/0.68 [78]E(x781,x782)+E(x781,x783)+~P5(x781,f26(x783,x782))
% 0.54/0.68 [82]~P5(x821,x823)+~P5(x821,x822)+P5(x821,f10(x822,x823))
% 0.54/0.68 [97]~P5(x972,x974)+~P5(x971,x973)+P5(f26(f26(x971,x971),f26(x971,f26(x972,x972))),f6(x973,x974))
% 0.54/0.68 [116]~P5(f26(f26(f26(f26(x1162,x1162),f26(x1162,f26(x1163,x1163))),f26(f26(x1162,x1162),f26(x1162,f26(x1163,x1163)))),f26(f26(f26(x1162,x1162),f26(x1162,f26(x1163,x1163))),f26(x1161,x1161))),x1164)+P5(f26(f26(f26(f26(x1161,x1161),f26(x1161,f26(x1162,x1162))),f26(f26(x1161,x1161),f26(x1161,f26(x1162,x1162)))),f26(f26(f26(x1161,x1161),f26(x1161,f26(x1162,x1162))),f26(x1163,x1163))),f20(x1164))+~P5(f26(f26(f26(f26(x1161,x1161),f26(x1161,f26(x1162,x1162))),f26(f26(x1161,x1161),f26(x1161,f26(x1162,x1162)))),f26(f26(f26(x1161,x1161),f26(x1161,f26(x1162,x1162))),f26(x1163,x1163))),f6(f6(a18,a18),a18))
% 0.54/0.68 [117]~P5(f26(f26(f26(f26(x1172,x1172),f26(x1172,f26(x1171,x1171))),f26(f26(x1172,x1172),f26(x1172,f26(x1171,x1171)))),f26(f26(f26(x1172,x1172),f26(x1172,f26(x1171,x1171))),f26(x1173,x1173))),x1174)+P5(f26(f26(f26(f26(x1171,x1171),f26(x1171,f26(x1172,x1172))),f26(f26(x1171,x1171),f26(x1171,f26(x1172,x1172)))),f26(f26(f26(x1171,x1171),f26(x1171,f26(x1172,x1172))),f26(x1173,x1173))),f11(x1174))+~P5(f26(f26(f26(f26(x1171,x1171),f26(x1171,f26(x1172,x1172))),f26(f26(x1171,x1171),f26(x1171,f26(x1172,x1172)))),f26(f26(f26(x1171,x1171),f26(x1171,f26(x1172,x1172))),f26(x1173,x1173))),f6(f6(a18,a18),a18))
% 0.54/0.68 [120]P5(f26(f26(x1201,x1201),f26(x1201,f26(x1202,x1202))),f7(x1203,x1204))+~P5(f26(f26(x1201,x1201),f26(x1201,f26(x1202,x1202))),f6(a18,a18))+~P5(x1202,f9(f9(f11(f6(f10(x1203,f6(f9(f9(f11(f6(f10(x1204,f6(f26(x1201,x1201),a18)),a18)))),a18)),a18)))))
% 0.54/0.68 [121]~P4(x1212,x1215,x1211)+~P5(f26(f26(x1213,x1213),f26(x1213,f26(x1214,x1214))),f9(x1215))+E(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1211,f6(f26(f26(f26(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1212,f6(f26(x1213,x1213),a18)),a18))))))),f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1212,f6(f26(x1213,x1213),a18)),a18)))))))),f26(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1212,f6(f26(x1213,x1213),a18)),a18))))))),f26(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1212,f6(f26(x1214,x1214),a18)),a18))))))),f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1212,f6(f26(x1214,x1214),a18)),a18)))))))))),f26(f26(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1212,f6(f26(x1213,x1213),a18)),a18))))))),f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1212,f6(f26(x1213,x1213),a18)),a18)))))))),f26(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1212,f6(f26(x1213,x1213),a18)),a18))))))),f26(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1212,f6(f26(x1214,x1214),a18)),a18))))))),f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1212,f6(f26(x1214,x1214),a18)),a18))))))))))),a18)),a18))))))),f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1212,f6(f26(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1215,f6(f26(f26(f26(x1213,x1213),f26(x1213,f26(x1214,x1214))),f26(f26(x1213,x1213),f26(x1213,f26(x1214,x1214)))),a18)),a18))))))),f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1215,f6(f26(f26(f26(x1213,x1213),f26(x1213,f26(x1214,x1214))),f26(f26(x1213,x1213),f26(x1213,f26(x1214,x1214)))),a18)),a18)))))))),a18)),a18))))))))
% 0.54/0.68 [105]~P2(x1051)+P8(x1051)+~E(f6(f9(f9(x1051)),f9(f9(x1051))),f9(x1051))+~P6(f9(f9(f11(f6(x1051,a18)))),f9(f9(x1051)))
% 0.54/0.68 [104]~P2(x1041)+P3(x1041,x1042,x1043)+~E(f9(f9(x1042)),f9(x1041))+~P6(f9(f9(f11(f6(x1041,a18)))),f9(f9(x1043)))
% 0.54/0.68 [112]~P8(x1123)+~P8(x1122)+~P3(x1121,x1122,x1123)+P4(x1121,x1122,x1123)+P5(f26(f26(f16(x1121,x1122,x1123),f16(x1121,x1122,x1123)),f26(f16(x1121,x1122,x1123),f26(f17(x1121,x1122,x1123),f17(x1121,x1122,x1123)))),f9(x1122))
% 0.54/0.68 [122]~P8(x1223)+~P8(x1222)+~P3(x1221,x1222,x1223)+P4(x1221,x1222,x1223)+~E(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1223,f6(f26(f26(f26(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1221,f6(f26(f16(x1221,x1222,x1223),f16(x1221,x1222,x1223)),a18)),a18))))))),f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1221,f6(f26(f16(x1221,x1222,x1223),f16(x1221,x1222,x1223)),a18)),a18)))))))),f26(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1221,f6(f26(f16(x1221,x1222,x1223),f16(x1221,x1222,x1223)),a18)),a18))))))),f26(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1221,f6(f26(f17(x1221,x1222,x1223),f17(x1221,x1222,x1223)),a18)),a18))))))),f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1221,f6(f26(f17(x1221,x1222,x1223),f17(x1221,x1222,x1223)),a18)),a18)))))))))),f26(f26(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1221,f6(f26(f16(x1221,x1222,x1223),f16(x1221,x1222,x1223)),a18)),a18))))))),f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1221,f6(f26(f16(x1221,x1222,x1223),f16(x1221,x1222,x1223)),a18)),a18)))))))),f26(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1221,f6(f26(f16(x1221,x1222,x1223),f16(x1221,x1222,x1223)),a18)),a18))))))),f26(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1221,f6(f26(f17(x1221,x1222,x1223),f17(x1221,x1222,x1223)),a18)),a18))))))),f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1221,f6(f26(f17(x1221,x1222,x1223),f17(x1221,x1222,x1223)),a18)),a18))))))))))),a18)),a18))))))),f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1221,f6(f26(f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1222,f6(f26(f26(f26(f16(x1221,x1222,x1223),f16(x1221,x1222,x1223)),f26(f16(x1221,x1222,x1223),f26(f17(x1221,x1222,x1223),f17(x1221,x1222,x1223)))),f26(f26(f16(x1221,x1222,x1223),f16(x1221,x1222,x1223)),f26(f16(x1221,x1222,x1223),f26(f17(x1221,x1222,x1223),f17(x1221,x1222,x1223))))),a18)),a18))))))),f9(f10(a5,f6(a18,f9(f9(f11(f6(f10(x1222,f6(f26(f26(f26(f16(x1221,x1222,x1223),f16(x1221,x1222,x1223)),f26(f16(x1221,x1222,x1223),f26(f17(x1221,x1222,x1223),f17(x1221,x1222,x1223)))),f26(f26(f16(x1221,x1222,x1223),f16(x1221,x1222,x1223)),f26(f16(x1221,x1222,x1223),f26(f17(x1221,x1222,x1223),f17(x1221,x1222,x1223))))),a18)),a18)))))))),a18)),a18))))))))
% 0.54/0.68 %EqnAxiom
% 0.54/0.68 [1]E(x11,x11)
% 0.54/0.68 [2]E(x22,x21)+~E(x21,x22)
% 0.54/0.68 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.54/0.68 [4]~E(x41,x42)+E(f4(x41),f4(x42))
% 0.54/0.68 [5]~E(x51,x52)+E(f9(x51),f9(x52))
% 0.54/0.68 [6]~E(x61,x62)+E(f26(x61,x63),f26(x62,x63))
% 0.54/0.68 [7]~E(x71,x72)+E(f26(x73,x71),f26(x73,x72))
% 0.54/0.68 [8]~E(x81,x82)+E(f6(x81,x83),f6(x82,x83))
% 0.54/0.68 [9]~E(x91,x92)+E(f6(x93,x91),f6(x93,x92))
% 0.54/0.68 [10]~E(x101,x102)+E(f11(x101),f11(x102))
% 0.54/0.68 [11]~E(x111,x112)+E(f17(x111,x113,x114),f17(x112,x113,x114))
% 0.54/0.68 [12]~E(x121,x122)+E(f17(x123,x121,x124),f17(x123,x122,x124))
% 0.54/0.68 [13]~E(x131,x132)+E(f17(x133,x134,x131),f17(x133,x134,x132))
% 0.54/0.68 [14]~E(x141,x142)+E(f7(x141,x143),f7(x142,x143))
% 0.54/0.68 [15]~E(x151,x152)+E(f7(x153,x151),f7(x153,x152))
% 0.54/0.68 [16]~E(x161,x162)+E(f10(x161,x163),f10(x162,x163))
% 0.54/0.68 [17]~E(x171,x172)+E(f10(x173,x171),f10(x173,x172))
% 0.54/0.68 [18]~E(x181,x182)+E(f16(x181,x183,x184),f16(x182,x183,x184))
% 0.54/0.68 [19]~E(x191,x192)+E(f16(x193,x191,x194),f16(x193,x192,x194))
% 0.54/0.68 [20]~E(x201,x202)+E(f16(x203,x204,x201),f16(x203,x204,x202))
% 0.54/0.68 [21]~E(x211,x212)+E(f15(x211,x213),f15(x212,x213))
% 0.54/0.69 [22]~E(x221,x222)+E(f15(x223,x221),f15(x223,x222))
% 0.54/0.69 [23]~E(x231,x232)+E(f20(x231),f20(x232))
% 0.54/0.69 [24]~E(x241,x242)+E(f8(x241),f8(x242))
% 0.54/0.69 [25]~E(x251,x252)+E(f23(x251),f23(x252))
% 0.54/0.69 [26]~E(x261,x262)+E(f12(x261),f12(x262))
% 0.54/0.69 [27]~E(x271,x272)+E(f21(x271),f21(x272))
% 0.54/0.69 [28]~E(x281,x282)+E(f3(x281),f3(x282))
% 0.54/0.69 [29]~P1(x291)+P1(x292)+~E(x291,x292)
% 0.54/0.69 [30]~P2(x301)+P2(x302)+~E(x301,x302)
% 0.54/0.69 [31]P5(x312,x313)+~E(x311,x312)+~P5(x311,x313)
% 0.54/0.69 [32]P5(x323,x322)+~E(x321,x322)+~P5(x323,x321)
% 0.54/0.69 [33]P3(x332,x333,x334)+~E(x331,x332)+~P3(x331,x333,x334)
% 0.54/0.69 [34]P3(x343,x342,x344)+~E(x341,x342)+~P3(x343,x341,x344)
% 0.54/0.69 [35]P3(x353,x354,x352)+~E(x351,x352)+~P3(x353,x354,x351)
% 0.54/0.69 [36]P6(x362,x363)+~E(x361,x362)+~P6(x361,x363)
% 0.54/0.69 [37]P6(x373,x372)+~E(x371,x372)+~P6(x373,x371)
% 0.54/0.69 [38]~P7(x381)+P7(x382)+~E(x381,x382)
% 0.54/0.69 [39]~P8(x391)+P8(x392)+~E(x391,x392)
% 0.54/0.69 [40]P4(x402,x403,x404)+~E(x401,x402)+~P4(x401,x403,x404)
% 0.54/0.69 [41]P4(x413,x412,x414)+~E(x411,x412)+~P4(x413,x411,x414)
% 0.54/0.69 [42]P4(x423,x424,x422)+~E(x421,x422)+~P4(x423,x424,x421)
% 0.54/0.69 [43]~P9(x431)+P9(x432)+~E(x431,x432)
% 0.54/0.69
% 0.54/0.69 %-------------------------------------------
% 0.54/0.69 cnf(126,plain,
% 0.54/0.69 (P5(f26(x1261,x1262),a18)),
% 0.54/0.69 inference(rename_variables,[],[52])).
% 0.54/0.69 cnf(130,plain,
% 0.54/0.69 (E(a24,f4(a25))),
% 0.54/0.69 inference(scs_inference,[],[47,48,49,52,2,32,31,74,78])).
% 0.54/0.69 cnf(136,plain,
% 0.54/0.69 (P6(f26(f4(a25),f4(a25)),a25)),
% 0.54/0.69 inference(scs_inference,[],[47,48,44,49,52,2,32,31,74,78,66,65,64])).
% 0.54/0.69 cnf(195,plain,
% 0.54/0.69 (P5(f26(f26(a24,a24),f26(a24,f26(a24,a24))),f6(a25,a25))),
% 0.54/0.69 inference(scs_inference,[],[47,48,44,45,46,49,52,126,2,32,31,74,78,66,65,64,63,69,113,109,91,76,75,72,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,94,101,102,99,30,73,110,82,97])).
% 0.54/0.69 cnf(199,plain,
% 0.54/0.69 (~P5(f26(f26(f26(f26(x1991,x1991),f26(x1991,f26(x1992,x1992))),f26(f26(x1991,x1991),f26(x1991,f26(x1992,x1992)))),f26(f26(f26(x1991,x1991),f26(x1991,f26(x1992,x1992))),f26(a24,a24))),f11(f6(x1993,f8(a25))))),
% 0.54/0.69 inference(scs_inference,[],[47,48,44,45,46,49,52,126,2,32,31,74,78,66,65,64,63,69,113,109,91,76,75,72,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,94,101,102,99,30,73,110,82,97,100,115])).
% 0.54/0.69 cnf(240,plain,
% 0.54/0.69 ($false),
% 0.54/0.69 inference(scs_inference,[],[60,52,45,46,49,199,195,136,130,80,79,96,36,110,78,82,2]),
% 0.54/0.69 ['proof']).
% 0.54/0.69 % SZS output end Proof
% 0.54/0.69 % Total time :0.050000s
%------------------------------------------------------------------------------