TSTP Solution File: SET096-6 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET096-6 : 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 : n015.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 14:28:41 EDT 2023
% Result : Unsatisfiable 62.44s 62.55s
% Output : CNFRefutation 62.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET096-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 09:58:37 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.50 start to proof:theBenchmark
% 62.44/62.53 %-------------------------------------------
% 62.44/62.53 % File :CSE---1.6
% 62.44/62.53 % Problem :theBenchmark
% 62.44/62.53 % Transform :cnf
% 62.44/62.53 % Format :tptp:raw
% 62.44/62.53 % Command :java -jar mcs_scs.jar %d %s
% 62.44/62.53
% 62.44/62.53 % Result :Theorem 61.960000s
% 62.44/62.53 % Output :CNFRefutation 61.960000s
% 62.44/62.54 %-------------------------------------------
% 62.44/62.54 %------------------------------------------------------------------------------
% 62.44/62.54 % File : SET096-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 62.44/62.54 % Domain : Set Theory
% 62.44/62.54 % Problem : There are at most two subsets of a singleton set
% 62.44/62.54 % Version : [Qua92] axioms.
% 62.44/62.54 % English :
% 62.44/62.54
% 62.44/62.54 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 62.44/62.54 % Source : [Quaife]
% 62.44/62.54 % Names : SS13 [Qua92]
% 62.44/62.54
% 62.44/62.54 % Status : Unsatisfiable
% 62.44/62.54 % Rating : 0.33 v8.1.0, 0.21 v7.5.0, 0.32 v7.4.0, 0.29 v7.3.0, 0.25 v7.2.0, 0.33 v7.1.0, 0.25 v7.0.0, 0.40 v6.3.0, 0.27 v6.2.0, 0.40 v6.1.0, 0.57 v6.0.0, 0.30 v5.5.0, 0.60 v5.3.0, 0.61 v5.2.0, 0.50 v5.1.0, 0.47 v5.0.0, 0.43 v4.1.0, 0.46 v4.0.1, 0.45 v3.7.0, 0.40 v3.5.0, 0.55 v3.4.0, 0.50 v3.3.0, 0.36 v3.2.0, 0.31 v3.1.0, 0.27 v2.7.0, 0.42 v2.6.0, 0.33 v2.5.0, 0.45 v2.4.0, 0.25 v2.2.1, 0.17 v2.2.0, 0.33 v2.1.0
% 62.44/62.54 % Syntax : Number of clauses : 94 ( 32 unt; 8 nHn; 65 RR)
% 62.44/62.54 % Number of literals : 184 ( 41 equ; 86 neg)
% 62.44/62.54 % Maximal clause size : 5 ( 1 avg)
% 62.44/62.54 % Maximal term depth : 6 ( 1 avg)
% 62.44/62.54 % Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% 62.44/62.54 % Number of functors : 40 ( 40 usr; 10 con; 0-3 aty)
% 62.44/62.54 % Number of variables : 176 ( 25 sgn)
% 62.44/62.54 % SPC : CNF_UNS_RFO_SEQ_NHN
% 62.44/62.54
% 62.44/62.54 % Comments :
% 62.44/62.55 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 62.44/62.55 %------------------------------------------------------------------------------
% 62.44/62.55 %----Include von Neuman-Bernays-Godel set theory axioms
% 62.44/62.55 include('Axioms/SET004-0.ax').
% 62.44/62.55 %------------------------------------------------------------------------------
% 62.44/62.55 cnf(prove_two_subsets_of_singleton_1,negated_conjecture,
% 62.44/62.55 subclass(x,singleton(y)) ).
% 62.44/62.55
% 62.44/62.55 cnf(prove_two_subsets_of_singleton_2,negated_conjecture,
% 62.44/62.55 x != null_class ).
% 62.44/62.55
% 62.44/62.55 cnf(prove_two_subsets_of_singleton_3,negated_conjecture,
% 62.44/62.55 singleton(y) != x ).
% 62.44/62.55
% 62.44/62.55 %------------------------------------------------------------------------------
% 62.44/62.55 %-------------------------------------------
% 62.44/62.55 % Proof found
% 62.44/62.55 % SZS status Theorem for theBenchmark
% 62.44/62.55 % SZS output start Proof
% 62.44/62.55 %ClaNum:121(EqnAxiom:42)
% 62.44/62.55 %VarNum:718(SingletonVarNum:150)
% 62.44/62.55 %MaxLitNum:5
% 62.44/62.55 %MaxfuncDepth:24
% 62.44/62.55 %SharedTerms:35
% 62.44/62.55 %goalClause: 49 58 59
% 62.44/62.55 %singleGoalClaCount:3
% 62.44/62.55 [43]P1(a1)
% 62.44/62.55 [44]P2(a2)
% 62.44/62.55 [45]P5(a1,a17)
% 62.44/62.55 [58]~E(a13,a23)
% 62.44/62.55 [47]P6(a4,f5(a17,a17))
% 62.44/62.55 [48]P6(a18,f5(a17,a17))
% 62.44/62.55 [49]P6(a23,f24(a25,a25))
% 62.44/62.55 [59]~E(f24(a25,a25),a23)
% 62.44/62.55 [55]E(f9(f8(f10(f5(a21,a17))),a21),a12)
% 62.44/62.55 [56]E(f9(f5(a17,a17),f9(f5(a17,a17),f7(f6(f7(a4),f8(f10(f5(a4,a17))))))),a21)
% 62.44/62.55 [46]P6(x461,a17)
% 62.44/62.55 [53]P6(f19(x531),f5(f5(a17,a17),a17))
% 62.44/62.55 [54]P6(f10(x541),f5(f5(a17,a17),a17))
% 62.44/62.55 [57]E(f9(f8(x571),f7(f8(f9(f6(f8(f10(f5(a4,a17))),x571),a12)))),f3(x571))
% 62.44/62.55 [50]P5(f24(x501,x502),a17)
% 62.44/62.55 [51]P6(f6(x511,x512),f5(a17,a17))
% 62.44/62.55 [52]E(f9(f5(x521,x522),x523),f9(x523,f5(x521,x522)))
% 62.44/62.55 [60]~P7(x601)+P2(x601)
% 62.44/62.55 [61]~P8(x611)+P2(x611)
% 62.44/62.55 [64]~P1(x641)+P6(a1,x641)
% 62.44/62.55 [65]~P1(x651)+P5(a13,x651)
% 62.44/62.55 [67]P5(f20(x671),x671)+E(x671,a13)
% 62.44/62.55 [68]~P2(x681)+P6(x681,f5(a17,a17))
% 62.44/62.55 [66]E(x661,a13)+E(f9(x661,f20(x661)),a13)
% 62.44/62.55 [76]~P8(x761)+E(f5(f8(f8(x761)),f8(f8(x761))),f8(x761))
% 62.44/62.55 [86]~P7(x861)+P2(f8(f10(f5(x861,a17))))
% 62.44/62.55 [90]~P5(x901,a17)+P5(f8(f9(a4,f5(a17,x901))),a17)
% 62.44/62.55 [92]~P9(x921)+P6(f6(x921,f8(f10(f5(x921,a17)))),a12)
% 62.44/62.55 [93]~P2(x931)+P6(f6(x931,f8(f10(f5(x931,a17)))),a12)
% 62.44/62.55 [94]~P8(x941)+P6(f8(f8(f10(f5(x941,a17)))),f8(f8(x941)))
% 62.44/62.55 [99]P9(x991)+~P6(f6(x991,f8(f10(f5(x991,a17)))),a12)
% 62.44/62.55 [108]~P1(x1081)+P6(f8(f8(f10(f5(f9(a18,f5(x1081,a17)),a17)))),x1081)
% 62.44/62.55 [112]~P5(x1121,a17)+P5(f7(f8(f8(f10(f5(f9(a4,f5(f7(x1121),a17)),a17))))),a17)
% 62.44/62.55 [62]~E(x622,x621)+P6(x621,x622)
% 62.44/62.55 [63]~E(x631,x632)+P6(x631,x632)
% 62.44/62.55 [70]P6(x701,x702)+P5(f14(x701,x702),x701)
% 62.44/62.55 [71]~P5(x711,x712)+~P5(x711,f7(x712))
% 62.44/62.55 [74]~P5(x741,a17)+P5(x741,f24(x742,x741))
% 62.44/62.55 [75]~P5(x751,a17)+P5(x751,f24(x751,x752))
% 62.44/62.55 [80]P6(x801,x802)+~P5(f14(x801,x802),x802)
% 62.44/62.55 [89]~P5(x892,f8(x891))+~E(f9(x891,f5(f24(x892,x892),a17)),a13)
% 62.44/62.55 [98]P5(x981,x982)+~P5(f24(f24(x981,x981),f24(x981,f24(x982,x982))),a4)
% 62.44/62.55 [105]~P5(f24(f24(x1051,x1051),f24(x1051,f24(x1052,x1052))),a18)+E(f7(f9(f7(x1051),f7(f24(x1051,x1051)))),x1052)
% 62.44/62.55 [82]P2(x821)+~P3(x821,x822,x823)
% 62.44/62.55 [83]P8(x831)+~P4(x832,x833,x831)
% 62.44/62.55 [84]P8(x841)+~P4(x842,x841,x843)
% 62.44/62.55 [88]~P4(x881,x882,x883)+P3(x881,x882,x883)
% 62.44/62.55 [78]P5(x781,x782)+~P5(x781,f9(x783,x782))
% 62.44/62.55 [79]P5(x791,x792)+~P5(x791,f9(x792,x793))
% 62.44/62.55 [85]~P3(x852,x851,x853)+E(f8(f8(x851)),f8(x852))
% 62.44/62.55 [95]~P5(x951,f5(x952,x953))+E(f24(f24(f11(x951),f11(x951)),f24(f11(x951),f24(f22(x951),f22(x951)))),x951)
% 62.44/62.55 [97]~P3(x971,x973,x972)+P6(f8(f8(f10(f5(x971,a17)))),f8(f8(x972)))
% 62.44/62.55 [100]P5(x1001,x1002)+~P5(f24(f24(x1003,x1003),f24(x1003,f24(x1001,x1001))),f5(x1004,x1002))
% 62.44/62.55 [101]P5(x1011,x1012)+~P5(f24(f24(x1011,x1011),f24(x1011,f24(x1013,x1013))),f5(x1012,x1014))
% 62.44/62.55 [113]~P5(f24(f24(f24(f24(x1133,x1133),f24(x1133,f24(x1131,x1131))),f24(f24(x1133,x1133),f24(x1133,f24(x1131,x1131)))),f24(f24(f24(x1133,x1133),f24(x1133,f24(x1131,x1131))),f24(x1132,x1132))),f19(x1134))+P5(f24(f24(f24(f24(x1131,x1131),f24(x1131,f24(x1132,x1132))),f24(f24(x1131,x1131),f24(x1131,f24(x1132,x1132)))),f24(f24(f24(x1131,x1131),f24(x1131,f24(x1132,x1132))),f24(x1133,x1133))),x1134)
% 62.44/62.55 [114]~P5(f24(f24(f24(f24(x1142,x1142),f24(x1142,f24(x1141,x1141))),f24(f24(x1142,x1142),f24(x1142,f24(x1141,x1141)))),f24(f24(f24(x1142,x1142),f24(x1142,f24(x1141,x1141))),f24(x1143,x1143))),f10(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)
% 62.44/62.55 [118]~P5(f24(f24(x1184,x1184),f24(x1184,f24(x1181,x1181))),f6(x1182,x1183))+P5(x1181,f8(f8(f10(f5(f9(x1182,f5(f8(f8(f10(f5(f9(x1183,f5(f24(x1184,x1184),a17)),a17)))),a17)),a17)))))
% 62.44/62.55 [91]~P2(x911)+P7(x911)+~P2(f8(f10(f5(x911,a17))))
% 62.44/62.55 [102]P2(x1021)+~P6(x1021,f5(a17,a17))+~P6(f6(x1021,f8(f10(f5(x1021,a17)))),a12)
% 62.44/62.55 [110]P1(x1101)+~P5(a13,x1101)+~P6(f8(f8(f10(f5(f9(a18,f5(x1101,a17)),a17)))),x1101)
% 62.44/62.55 [117]~P5(x1171,a17)+E(x1171,a13)+P5(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(a2,f5(f24(x1171,x1171),a17)),a17))))))),x1171)
% 62.44/62.55 [69]~P6(x692,x691)+~P6(x691,x692)+E(x691,x692)
% 62.44/62.55 [72]P5(x721,x722)+P5(x721,f7(x722))+~P5(x721,a17)
% 62.44/62.55 [87]P5(x872,f8(x871))+~P5(x872,a17)+E(f9(x871,f5(f24(x872,x872),a17)),a13)
% 62.44/62.55 [106]~P5(x1061,x1062)+~P5(f24(f24(x1061,x1061),f24(x1061,f24(x1062,x1062))),f5(a17,a17))+P5(f24(f24(x1061,x1061),f24(x1061,f24(x1062,x1062))),a4)
% 62.44/62.55 [107]~P5(f24(f24(x1071,x1071),f24(x1071,f24(x1072,x1072))),f5(a17,a17))+~E(f7(f9(f7(x1071),f7(f24(x1071,x1071)))),x1072)+P5(f24(f24(x1071,x1071),f24(x1071,f24(x1072,x1072))),a18)
% 62.44/62.55 [109]~P2(x1091)+~P5(x1092,a17)+P5(f8(f8(f10(f5(f9(x1091,f5(x1092,a17)),a17)))),a17)
% 62.44/62.55 [73]~P5(x731,x733)+P5(x731,x732)+~P6(x733,x732)
% 62.44/62.55 [77]E(x771,x772)+E(x771,x773)+~P5(x771,f24(x773,x772))
% 62.44/62.56 [81]~P5(x811,x813)+~P5(x811,x812)+P5(x811,f9(x812,x813))
% 62.44/62.56 [96]~P5(x962,x964)+~P5(x961,x963)+P5(f24(f24(x961,x961),f24(x961,f24(x962,x962))),f5(x963,x964))
% 62.44/62.56 [115]~P5(f24(f24(f24(f24(x1152,x1152),f24(x1152,f24(x1153,x1153))),f24(f24(x1152,x1152),f24(x1152,f24(x1153,x1153)))),f24(f24(f24(x1152,x1152),f24(x1152,f24(x1153,x1153))),f24(x1151,x1151))),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))),f19(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))),f5(f5(a17,a17),a17))
% 62.44/62.56 [116]~P5(f24(f24(f24(f24(x1162,x1162),f24(x1162,f24(x1161,x1161))),f24(f24(x1162,x1162),f24(x1162,f24(x1161,x1161)))),f24(f24(f24(x1162,x1162),f24(x1162,f24(x1161,x1161))),f24(x1163,x1163))),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))),f10(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))
% 62.44/62.56 [119]P5(f24(f24(x1191,x1191),f24(x1191,f24(x1192,x1192))),f6(x1193,x1194))+~P5(f24(f24(x1191,x1191),f24(x1191,f24(x1192,x1192))),f5(a17,a17))+~P5(x1192,f8(f8(f10(f5(f9(x1193,f5(f8(f8(f10(f5(f9(x1194,f5(f24(x1191,x1191),a17)),a17)))),a17)),a17)))))
% 62.44/62.56 [120]~P4(x1202,x1205,x1201)+~P5(f24(f24(x1203,x1203),f24(x1203,f24(x1204,x1204))),f8(x1205))+E(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f24(f24(f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f24(x1203,x1203),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f24(x1203,x1203),a17)),a17)))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f24(x1203,x1203),a17)),a17))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f24(x1204,x1204),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f24(x1204,x1204),a17)),a17)))))))))),f24(f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f24(x1203,x1203),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f24(x1203,x1203),a17)),a17)))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f24(x1203,x1203),a17)),a17))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f24(x1204,x1204),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f24(x1204,x1204),a17)),a17))))))))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1205,f5(f24(f24(f24(x1203,x1203),f24(x1203,f24(x1204,x1204))),f24(f24(x1203,x1203),f24(x1203,f24(x1204,x1204)))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1205,f5(f24(f24(f24(x1203,x1203),f24(x1203,f24(x1204,x1204))),f24(f24(x1203,x1203),f24(x1203,f24(x1204,x1204)))),a17)),a17)))))))),a17)),a17))))))))
% 62.44/62.56 [104]~P2(x1041)+P8(x1041)+~E(f5(f8(f8(x1041)),f8(f8(x1041))),f8(x1041))+~P6(f8(f8(f10(f5(x1041,a17)))),f8(f8(x1041)))
% 62.44/62.56 [103]~P2(x1031)+P3(x1031,x1032,x1033)+~E(f8(f8(x1032)),f8(x1031))+~P6(f8(f8(f10(f5(x1031,a17)))),f8(f8(x1033)))
% 62.44/62.56 [111]~P8(x1113)+~P8(x1112)+~P3(x1111,x1112,x1113)+P4(x1111,x1112,x1113)+P5(f24(f24(f15(x1111,x1112,x1113),f15(x1111,x1112,x1113)),f24(f15(x1111,x1112,x1113),f24(f16(x1111,x1112,x1113),f16(x1111,x1112,x1113)))),f8(x1112))
% 62.44/62.56 [121]~P8(x1213)+~P8(x1212)+~P3(x1211,x1212,x1213)+P4(x1211,x1212,x1213)+~E(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1213,f5(f24(f24(f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f24(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f24(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),a17)),a17)))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f24(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),a17)),a17))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f24(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f24(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213)),a17)),a17)))))))))),f24(f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f24(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f24(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),a17)),a17)))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f24(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),a17)),a17))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f24(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f24(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213)),a17)),a17))))))))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f24(f24(f24(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),f24(f15(x1211,x1212,x1213),f24(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213)))),f24(f24(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),f24(f15(x1211,x1212,x1213),f24(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f24(f24(f24(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),f24(f15(x1211,x1212,x1213),f24(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213)))),f24(f24(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),f24(f15(x1211,x1212,x1213),f24(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213))))),a17)),a17)))))))),a17)),a17))))))))
% 62.44/62.56 %EqnAxiom
% 62.44/62.56 [1]E(x11,x11)
% 62.44/62.56 [2]E(x22,x21)+~E(x21,x22)
% 62.44/62.56 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 62.44/62.56 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 62.44/62.56 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 62.44/62.56 [6]~E(x61,x62)+E(f8(x61),f8(x62))
% 62.44/62.56 [7]~E(x71,x72)+E(f24(x71,x73),f24(x72,x73))
% 62.44/62.56 [8]~E(x81,x82)+E(f24(x83,x81),f24(x83,x82))
% 62.44/62.56 [9]~E(x91,x92)+E(f9(x91,x93),f9(x92,x93))
% 62.44/62.56 [10]~E(x101,x102)+E(f9(x103,x101),f9(x103,x102))
% 62.44/62.56 [11]~E(x111,x112)+E(f6(x111,x113),f6(x112,x113))
% 62.44/62.56 [12]~E(x121,x122)+E(f6(x123,x121),f6(x123,x122))
% 62.44/62.56 [13]~E(x131,x132)+E(f7(x131),f7(x132))
% 62.44/62.56 [14]~E(x141,x142)+E(f16(x141,x143,x144),f16(x142,x143,x144))
% 62.44/62.56 [15]~E(x151,x152)+E(f16(x153,x151,x154),f16(x153,x152,x154))
% 62.44/62.56 [16]~E(x161,x162)+E(f16(x163,x164,x161),f16(x163,x164,x162))
% 62.44/62.56 [17]~E(x171,x172)+E(f15(x171,x173,x174),f15(x172,x173,x174))
% 62.44/62.56 [18]~E(x181,x182)+E(f15(x183,x181,x184),f15(x183,x182,x184))
% 62.44/62.56 [19]~E(x191,x192)+E(f15(x193,x194,x191),f15(x193,x194,x192))
% 62.44/62.56 [20]~E(x201,x202)+E(f10(x201),f10(x202))
% 62.44/62.56 [21]~E(x211,x212)+E(f22(x211),f22(x212))
% 62.44/62.56 [22]~E(x221,x222)+E(f19(x221),f19(x222))
% 62.44/62.56 [23]~E(x231,x232)+E(f14(x231,x233),f14(x232,x233))
% 62.44/62.56 [24]~E(x241,x242)+E(f14(x243,x241),f14(x243,x242))
% 62.44/62.56 [25]~E(x251,x252)+E(f11(x251),f11(x252))
% 62.44/62.56 [26]~E(x261,x262)+E(f3(x261),f3(x262))
% 62.44/62.56 [27]~E(x271,x272)+E(f20(x271),f20(x272))
% 62.44/62.56 [28]~P1(x281)+P1(x282)+~E(x281,x282)
% 62.44/62.56 [29]~P2(x291)+P2(x292)+~E(x291,x292)
% 62.44/62.56 [30]P5(x302,x303)+~E(x301,x302)+~P5(x301,x303)
% 62.44/62.56 [31]P5(x313,x312)+~E(x311,x312)+~P5(x313,x311)
% 62.44/62.56 [32]P6(x322,x323)+~E(x321,x322)+~P6(x321,x323)
% 62.44/62.56 [33]P6(x333,x332)+~E(x331,x332)+~P6(x333,x331)
% 62.44/62.56 [34]P3(x342,x343,x344)+~E(x341,x342)+~P3(x341,x343,x344)
% 62.44/62.56 [35]P3(x353,x352,x354)+~E(x351,x352)+~P3(x353,x351,x354)
% 62.44/62.56 [36]P3(x363,x364,x362)+~E(x361,x362)+~P3(x363,x364,x361)
% 62.44/62.56 [37]P4(x372,x373,x374)+~E(x371,x372)+~P4(x371,x373,x374)
% 62.44/62.56 [38]P4(x383,x382,x384)+~E(x381,x382)+~P4(x383,x381,x384)
% 62.44/62.56 [39]P4(x393,x394,x392)+~E(x391,x392)+~P4(x393,x394,x391)
% 62.44/62.56 [40]~P8(x401)+P8(x402)+~E(x401,x402)
% 62.44/62.56 [41]~P7(x411)+P7(x412)+~E(x411,x412)
% 62.44/62.56 [42]~P9(x421)+P9(x422)+~E(x421,x422)
% 62.44/62.56
% 62.44/62.56 %-------------------------------------------
% 62.44/62.56 cnf(122,plain,
% 62.44/62.56 (E(a12,f9(f8(f10(f5(a21,a17))),a21))),
% 62.44/62.56 inference(scs_inference,[],[55,2])).
% 62.44/62.56 cnf(123,plain,
% 62.44/62.56 (P5(a13,a1)),
% 62.44/62.56 inference(scs_inference,[],[43,55,2,65])).
% 62.44/62.56 cnf(127,plain,
% 62.44/62.56 (P6(f9(f8(f10(f5(a21,a17))),a21),a12)),
% 62.44/62.56 inference(scs_inference,[],[43,55,2,65,64,63])).
% 62.44/62.56 cnf(133,plain,
% 62.44/62.56 (P5(f7(f8(f8(f10(f5(f9(a4,f5(f7(a1),a17)),a17))))),a17)),
% 62.44/62.56 inference(scs_inference,[],[43,44,45,55,2,65,64,63,62,68,112])).
% 62.44/62.56 cnf(146,plain,
% 62.44/62.56 (E(f3(f9(f8(f10(f5(a21,a17))),a21)),f3(a12))),
% 62.44/62.56 inference(scs_inference,[],[43,44,45,55,2,65,64,63,62,68,112,108,90,75,74,71,27,26])).
% 62.44/62.56 cnf(153,plain,
% 62.44/62.56 (E(f15(x1531,x1532,f9(f8(f10(f5(a21,a17))),a21)),f15(x1531,x1532,a12))),
% 62.44/62.56 inference(scs_inference,[],[43,44,45,55,2,65,64,63,62,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19])).
% 62.44/62.56 cnf(154,plain,
% 62.44/62.56 (E(f15(x1541,f9(f8(f10(f5(a21,a17))),a21),x1542),f15(x1541,a12,x1542))),
% 62.44/62.56 inference(scs_inference,[],[43,44,45,55,2,65,64,63,62,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18])).
% 62.44/62.56 cnf(171,plain,
% 62.44/62.56 (~P5(f24(f24(x1711,x1711),f24(x1711,f24(a1,a1))),f5(x1712,f7(a17)))),
% 62.44/62.56 inference(scs_inference,[],[43,44,45,55,2,65,64,63,62,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,100])).
% 62.44/62.56 cnf(177,plain,
% 62.44/62.56 (~E(a17,f7(a17))),
% 62.44/62.56 inference(scs_inference,[],[43,44,45,55,2,65,64,63,62,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,100,101,98,31])).
% 62.44/62.56 cnf(179,plain,
% 62.44/62.56 (~P6(a17,f7(a17))),
% 62.44/62.56 inference(scs_inference,[],[43,44,45,55,2,65,64,63,62,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,100,101,98,31,30,73])).
% 62.44/62.56 cnf(181,plain,
% 62.44/62.56 (~P6(f24(a25,a25),a23)),
% 62.44/62.56 inference(scs_inference,[],[49,43,44,45,59,55,2,65,64,63,62,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,100,101,98,31,30,73,69])).
% 62.44/62.56 cnf(189,plain,
% 62.44/62.56 (~P5(a13,f24(a23,a23))),
% 62.44/62.56 inference(scs_inference,[],[49,58,43,44,45,59,55,2,65,64,63,62,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,100,101,98,31,30,73,69,72,109,81,77])).
% 62.44/62.56 cnf(191,plain,
% 62.44/62.56 (P5(f24(f24(a1,a1),f24(a1,f24(a1,a1))),f5(a17,a17))),
% 62.44/62.56 inference(scs_inference,[],[49,58,43,44,45,59,55,2,65,64,63,62,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,100,101,98,31,30,73,69,72,109,81,77,96])).
% 62.44/62.56 cnf(193,plain,
% 62.44/62.56 (P9(a2)),
% 62.44/62.56 inference(scs_inference,[],[49,58,43,44,45,59,55,2,65,64,63,62,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,100,101,98,31,30,73,69,72,109,81,77,96,99])).
% 62.44/62.56 cnf(223,plain,
% 62.44/62.56 (~P5(f24(f24(x2231,x2231),f24(x2231,f24(a1,a1))),f9(f5(x2232,f7(a17)),x2233))),
% 62.44/62.56 inference(scs_inference,[],[171,79])).
% 62.44/62.56 cnf(225,plain,
% 62.44/62.56 (~P5(f24(f24(x2251,x2251),f24(x2251,f24(a1,a1))),f9(x2252,f5(x2253,f7(a17))))),
% 62.44/62.56 inference(scs_inference,[],[171,79,78])).
% 62.44/62.56 cnf(229,plain,
% 62.44/62.56 (E(f24(f24(f11(f24(f24(a1,a1),f24(a1,f24(a1,a1)))),f11(f24(f24(a1,a1),f24(a1,f24(a1,a1))))),f24(f11(f24(f24(a1,a1),f24(a1,f24(a1,a1)))),f24(f22(f24(f24(a1,a1),f24(a1,f24(a1,a1)))),f22(f24(f24(a1,a1),f24(a1,f24(a1,a1))))))),f24(f24(a1,a1),f24(a1,f24(a1,a1))))),
% 62.44/62.56 inference(scs_inference,[],[191,171,181,79,78,80,95])).
% 62.44/62.56 cnf(232,plain,
% 62.44/62.56 (P5(f14(f24(a25,a25),a23),f24(a25,a25))),
% 62.44/62.56 inference(scs_inference,[],[55,191,171,181,127,79,78,80,95,32,70])).
% 62.44/62.56 cnf(235,plain,
% 62.44/62.56 (P5(f24(x2351,x2352),a17)),
% 62.44/62.56 inference(rename_variables,[],[50])).
% 62.44/62.56 cnf(237,plain,
% 62.44/62.56 (~P5(f24(a25,a25),f24(a23,a23))),
% 62.44/62.56 inference(scs_inference,[],[59,50,55,191,171,181,127,79,78,80,95,32,70,72,77])).
% 62.44/62.56 cnf(240,plain,
% 62.44/62.56 (P5(f24(x2401,x2402),a17)),
% 62.44/62.56 inference(rename_variables,[],[50])).
% 62.44/62.56 cnf(255,plain,
% 62.44/62.56 (~E(a23,a13)),
% 62.44/62.56 inference(scs_inference,[],[58,59,50,235,240,44,55,191,171,153,154,133,181,127,189,79,78,80,95,32,70,72,77,73,62,3,109,96,65,81,2])).
% 62.44/62.56 cnf(256,plain,
% 62.44/62.56 (~E(a17,a23)),
% 62.44/62.56 inference(scs_inference,[],[46,58,59,50,235,240,44,55,191,171,153,154,133,181,127,189,79,78,80,95,32,70,72,77,73,62,3,109,96,65,81,2,33])).
% 62.44/62.56 cnf(258,plain,
% 62.44/62.56 (P5(f20(a23),a23)),
% 62.44/62.56 inference(scs_inference,[],[46,58,59,50,235,240,44,55,191,171,153,154,133,181,127,189,79,78,80,95,32,70,72,77,73,62,3,109,96,65,81,2,33,67])).
% 62.44/62.56 cnf(264,plain,
% 62.44/62.56 (~E(f20(a23),f14(f24(a25,a25),a23))),
% 62.44/62.56 inference(scs_inference,[],[46,58,59,50,235,240,43,44,55,191,171,153,154,133,181,127,189,193,79,78,80,95,32,70,72,77,73,62,3,109,96,65,81,2,33,67,42,28,63,30])).
% 62.44/62.56 cnf(265,plain,
% 62.44/62.56 (~E(f5(a17,a17),f5(x2651,f7(a17)))),
% 62.44/62.56 inference(scs_inference,[],[46,58,59,50,235,240,43,44,55,191,171,153,154,133,181,127,189,193,79,78,80,95,32,70,72,77,73,62,3,109,96,65,81,2,33,67,42,28,63,30,31])).
% 62.44/62.56 cnf(269,plain,
% 62.44/62.56 (~E(a2,x2691)+E(f9(a23,f20(a23)),a13)),
% 62.44/62.56 inference(scs_inference,[],[46,58,59,50,235,240,43,44,55,191,171,153,154,133,181,127,189,193,79,78,80,95,32,70,72,77,73,62,3,109,96,65,81,2,33,67,42,28,63,30,31,92,66])).
% 62.44/62.56 cnf(279,plain,
% 62.44/62.56 (E(f9(a23,f20(a23)),a13)),
% 62.44/62.56 inference(equality_inference,[],[269])).
% 62.44/62.56 cnf(280,plain,
% 62.44/62.56 (P5(f20(a23),f24(a25,a25))),
% 62.44/62.56 inference(scs_inference,[],[258,49,73])).
% 62.44/62.56 cnf(282,plain,
% 62.44/62.56 (P6(f9(f5(x2821,x2822),x2823),f9(x2823,f5(x2821,x2822)))),
% 62.44/62.56 inference(scs_inference,[],[52,258,49,73,63])).
% 62.44/62.56 cnf(284,plain,
% 62.44/62.56 (P6(f9(x2841,f5(x2842,x2843)),f9(f5(x2842,x2843),x2841))),
% 62.44/62.56 inference(scs_inference,[],[52,258,49,73,63,62])).
% 62.44/62.56 cnf(286,plain,
% 62.44/62.56 (E(f14(f24(a25,a25),a23),a25)),
% 62.44/62.56 inference(scs_inference,[],[52,232,258,49,73,63,62,77])).
% 62.44/62.56 cnf(288,plain,
% 62.44/62.56 (~P5(f24(f24(f11(f24(f24(a1,a1),f24(a1,f24(a1,a1)))),f11(f24(f24(a1,a1),f24(a1,f24(a1,a1))))),f24(f11(f24(f24(a1,a1),f24(a1,f24(a1,a1)))),f24(f22(f24(f24(a1,a1),f24(a1,f24(a1,a1)))),f22(f24(f24(a1,a1),f24(a1,f24(a1,a1))))))),f9(f5(x2881,f7(a17)),x2882))),
% 62.44/62.56 inference(scs_inference,[],[52,223,229,232,258,49,73,63,62,77,30])).
% 62.44/62.56 cnf(294,plain,
% 62.44/62.56 (E(f9(x2941,f5(x2942,x2943)),f9(f5(x2942,x2943),x2941))),
% 62.44/62.56 inference(scs_inference,[],[52,50,223,229,232,279,258,255,49,73,63,62,77,30,81,3,2])).
% 62.44/62.56 cnf(323,plain,
% 62.44/62.56 (P5(f24(x3231,x3232),a17)),
% 62.44/62.56 inference(rename_variables,[],[50])).
% 62.44/62.56 cnf(336,plain,
% 62.44/62.56 (~E(f5(x3361,f7(a17)),f5(a17,a17))),
% 62.44/62.56 inference(scs_inference,[],[57,46,50,323,52,177,225,265,256,146,179,229,62,77,73,69,33,81,30,3,2])).
% 62.44/62.56 cnf(350,plain,
% 62.44/62.56 (~P6(a17,f24(a23,a23))),
% 62.44/62.56 inference(scs_inference,[],[50,237,73])).
% 62.44/62.56 cnf(351,plain,
% 62.44/62.56 (P5(f24(x3511,x3512),a17)),
% 62.44/62.56 inference(rename_variables,[],[50])).
% 62.44/62.56 cnf(366,plain,
% 62.44/62.56 (P5(f24(x3661,x3662),a17)),
% 62.44/62.56 inference(rename_variables,[],[50])).
% 62.44/62.56 cnf(383,plain,
% 62.44/62.56 (~P5(a13,f7(a1))),
% 62.44/62.56 inference(scs_inference,[],[123,56,57,50,351,366,284,288,336,237,286,294,232,191,73,62,77,63,69,96,81,31,30,33,3,2,119,112,90,75,98,71])).
% 62.44/62.56 cnf(392,plain,
% 62.44/62.56 (~P5(f24(f24(x3921,x3921),f24(x3921,f24(a1,a1))),f9(f5(x3922,f7(a17)),x3923))),
% 62.44/62.56 inference(rename_variables,[],[223])).
% 62.44/62.56 cnf(405,plain,
% 62.44/62.56 (~P5(f24(f24(x4051,x4051),f24(x4051,f24(f24(f24(f11(f24(f24(a1,a1),f24(a1,f24(a1,a1)))),f11(f24(f24(a1,a1),f24(a1,f24(a1,a1))))),f24(f11(f24(f24(a1,a1),f24(a1,f24(a1,a1)))),f24(f22(f24(f24(a1,a1),f24(a1,f24(a1,a1)))),f22(f24(f24(a1,a1),f24(a1,f24(a1,a1))))))),f24(f24(f11(f24(f24(a1,a1),f24(a1,f24(a1,a1)))),f11(f24(f24(a1,a1),f24(a1,f24(a1,a1))))),f24(f11(f24(f24(a1,a1),f24(a1,f24(a1,a1)))),f24(f22(f24(f24(a1,a1),f24(a1,f24(a1,a1)))),f22(f24(f24(a1,a1),f24(a1,f24(a1,a1)))))))))),f5(x4052,f9(f5(x4053,f7(a17)),x4054)))),
% 62.44/62.56 inference(scs_inference,[],[123,122,56,57,50,351,366,284,288,336,237,286,294,223,392,232,191,73,62,77,63,69,96,81,31,30,33,3,2,119,112,90,75,98,71,74,26,22,20,6,114,113,19,18,16,15,14,12,9,4,100])).
% 62.44/62.56 cnf(439,plain,
% 62.44/62.56 (~E(a25,f14(f24(a25,a25),a23))),
% 62.44/62.56 inference(scs_inference,[],[46,123,52,50,282,405,264,280,383,350,279,73,77,63,62,30,33,31,3])).
% 62.44/62.56 cnf(4364,plain,
% 62.44/62.56 ($false),
% 62.44/62.56 inference(scs_inference,[],[286,439,2]),
% 62.44/62.56 ['proof']).
% 62.44/62.57 % SZS output end Proof
% 62.44/62.57 % Total time :61.960000s
%------------------------------------------------------------------------------