TSTP Solution File: SET027-6 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET027-6 : 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 : n024.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 14:28:03 EDT 2023
% Result : Unsatisfiable 0.56s 0.92s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET027-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 10:15:39 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.59 start to proof:theBenchmark
% 0.56/0.92 %-------------------------------------------
% 0.56/0.92 % File :CSE---1.6
% 0.56/0.92 % Problem :theBenchmark
% 0.56/0.92 % Transform :cnf
% 0.56/0.92 % Format :tptp:raw
% 0.56/0.92 % Command :java -jar mcs_scs.jar %d %s
% 0.56/0.92
% 0.56/0.92 % Result :Theorem 0.250000s
% 0.56/0.92 % Output :CNFRefutation 0.250000s
% 0.56/0.92 %-------------------------------------------
% 0.56/0.92 %--------------------------------------------------------------------------
% 0.56/0.92 % File : SET027-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.56/0.92 % Domain : Set Theory
% 0.56/0.92 % Problem : Transitivity of subset
% 0.56/0.92 % Version : [Qua92] axioms.
% 0.56/0.92 % English :
% 0.56/0.92
% 0.56/0.92 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 0.56/0.92 % Source : [Quaife]
% 0.56/0.92 % Names :
% 0.56/0.92
% 0.56/0.92 % Status : Unsatisfiable
% 0.56/0.92 % Rating : 0.19 v8.1.0, 0.16 v7.4.0, 0.12 v7.3.0, 0.00 v7.0.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.00 v5.5.0, 0.25 v5.4.0, 0.30 v5.3.0, 0.22 v5.2.0, 0.12 v5.0.0, 0.14 v4.1.0, 0.15 v4.0.1, 0.18 v3.7.0, 0.20 v3.5.0, 0.18 v3.4.0, 0.08 v3.3.0, 0.14 v3.2.0, 0.08 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.5.0, 0.09 v2.4.0, 0.00 v2.1.0
% 0.56/0.92 % Syntax : Number of clauses : 94 ( 32 unt; 8 nHn; 65 RR)
% 0.56/0.92 % Number of literals : 184 ( 39 equ; 85 neg)
% 0.56/0.92 % Maximal clause size : 5 ( 1 avg)
% 0.56/0.92 % Maximal term depth : 6 ( 1 avg)
% 0.56/0.92 % Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% 0.56/0.92 % Number of functors : 41 ( 41 usr; 11 con; 0-3 aty)
% 0.56/0.92 % Number of variables : 176 ( 25 sgn)
% 0.56/0.92 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.56/0.92
% 0.56/0.92 % Comments :
% 0.56/0.92 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 0.56/0.92 %--------------------------------------------------------------------------
% 0.56/0.92 %----Include von Neuman-Bernays-Godel set theory axioms
% 0.56/0.92 include('Axioms/SET004-0.ax').
% 0.56/0.92 %--------------------------------------------------------------------------
% 0.56/0.92 cnf(prove_transitivity_of_subclass_1,negated_conjecture,
% 0.56/0.92 subclass(x,y) ).
% 0.56/0.92
% 0.56/0.92 cnf(prove_transitivity_of_subclass_2,negated_conjecture,
% 0.56/0.92 subclass(y,z) ).
% 0.56/0.92
% 0.56/0.92 cnf(prove_transitivity_of_subclass_3,negated_conjecture,
% 0.56/0.92 ~ subclass(x,z) ).
% 0.56/0.92
% 0.56/0.92 %--------------------------------------------------------------------------
% 0.56/0.92 %-------------------------------------------
% 0.56/0.92 % Proof found
% 0.56/0.92 % SZS status Theorem for theBenchmark
% 0.56/0.92 % SZS output start Proof
% 0.56/0.92 %ClaNum:121(EqnAxiom:42)
% 0.56/0.92 %VarNum:718(SingletonVarNum:150)
% 0.56/0.92 %MaxLitNum:5
% 0.56/0.92 %MaxfuncDepth:24
% 0.56/0.92 %SharedTerms:35
% 0.56/0.92 %goalClause: 45 46 59
% 0.56/0.92 %singleGoalClaCount:3
% 0.56/0.92 [43]P1(a1)
% 0.56/0.92 [44]P2(a2)
% 0.56/0.92 [45]P5(a17,a25)
% 0.56/0.92 [46]P5(a25,a26)
% 0.56/0.92 [47]P6(a1,a18)
% 0.56/0.92 [59]~P5(a17,a26)
% 0.56/0.92 [49]P5(a4,f5(a18,a18))
% 0.56/0.92 [50]P5(a19,f5(a18,a18))
% 0.56/0.92 [56]E(f9(f8(f10(f5(a22,a18))),a22),a12)
% 0.56/0.92 [57]E(f9(f5(a18,a18),f9(f5(a18,a18),f7(f6(f7(a4),f8(f10(f5(a4,a18))))))),a22)
% 0.56/0.92 [48]P5(x481,a18)
% 0.56/0.92 [54]P5(f20(x541),f5(f5(a18,a18),a18))
% 0.56/0.92 [55]P5(f10(x551),f5(f5(a18,a18),a18))
% 0.56/0.92 [58]E(f9(f8(x581),f7(f8(f9(f6(f8(f10(f5(a4,a18))),x581),a12)))),f3(x581))
% 0.56/0.92 [51]P6(f24(x511,x512),a18)
% 0.56/0.92 [52]P5(f6(x521,x522),f5(a18,a18))
% 0.56/0.92 [53]E(f9(f5(x531,x532),x533),f9(x533,f5(x531,x532)))
% 0.56/0.92 [60]~P7(x601)+P2(x601)
% 0.56/0.92 [61]~P8(x611)+P2(x611)
% 0.56/0.92 [64]~P1(x641)+P5(a1,x641)
% 0.56/0.92 [65]~P1(x651)+P6(a13,x651)
% 0.56/0.92 [67]P6(f21(x671),x671)+E(x671,a13)
% 0.56/0.92 [68]~P2(x681)+P5(x681,f5(a18,a18))
% 0.56/0.92 [66]E(x661,a13)+E(f9(x661,f21(x661)),a13)
% 0.56/0.92 [76]~P8(x761)+E(f5(f8(f8(x761)),f8(f8(x761))),f8(x761))
% 0.56/0.92 [86]~P7(x861)+P2(f8(f10(f5(x861,a18))))
% 0.56/0.92 [90]~P6(x901,a18)+P6(f8(f9(a4,f5(a18,x901))),a18)
% 0.56/0.92 [92]~P9(x921)+P5(f6(x921,f8(f10(f5(x921,a18)))),a12)
% 0.56/0.92 [93]~P2(x931)+P5(f6(x931,f8(f10(f5(x931,a18)))),a12)
% 0.56/0.92 [94]~P8(x941)+P5(f8(f8(f10(f5(x941,a18)))),f8(f8(x941)))
% 0.56/0.92 [99]P9(x991)+~P5(f6(x991,f8(f10(f5(x991,a18)))),a12)
% 0.56/0.92 [108]~P1(x1081)+P5(f8(f8(f10(f5(f9(a19,f5(x1081,a18)),a18)))),x1081)
% 0.56/0.92 [112]~P6(x1121,a18)+P6(f7(f8(f8(f10(f5(f9(a4,f5(f7(x1121),a18)),a18))))),a18)
% 0.56/0.92 [62]~E(x622,x621)+P5(x621,x622)
% 0.56/0.92 [63]~E(x631,x632)+P5(x631,x632)
% 0.56/0.92 [70]P5(x701,x702)+P6(f14(x701,x702),x701)
% 0.56/0.92 [71]~P6(x711,x712)+~P6(x711,f7(x712))
% 0.56/0.93 [74]~P6(x741,a18)+P6(x741,f24(x742,x741))
% 0.56/0.93 [75]~P6(x751,a18)+P6(x751,f24(x751,x752))
% 0.56/0.93 [80]P5(x801,x802)+~P6(f14(x801,x802),x802)
% 0.56/0.93 [89]~P6(x892,f8(x891))+~E(f9(x891,f5(f24(x892,x892),a18)),a13)
% 0.56/0.93 [98]P6(x981,x982)+~P6(f24(f24(x981,x981),f24(x981,f24(x982,x982))),a4)
% 0.56/0.93 [105]~P6(f24(f24(x1051,x1051),f24(x1051,f24(x1052,x1052))),a19)+E(f7(f9(f7(x1051),f7(f24(x1051,x1051)))),x1052)
% 0.56/0.93 [82]P2(x821)+~P3(x821,x822,x823)
% 0.56/0.93 [83]P8(x831)+~P4(x832,x833,x831)
% 0.56/0.93 [84]P8(x841)+~P4(x842,x841,x843)
% 0.56/0.93 [88]~P4(x881,x882,x883)+P3(x881,x882,x883)
% 0.56/0.93 [78]P6(x781,x782)+~P6(x781,f9(x783,x782))
% 0.56/0.93 [79]P6(x791,x792)+~P6(x791,f9(x792,x793))
% 0.56/0.93 [85]~P3(x852,x851,x853)+E(f8(f8(x851)),f8(x852))
% 0.56/0.93 [95]~P6(x951,f5(x952,x953))+E(f24(f24(f11(x951),f11(x951)),f24(f11(x951),f24(f23(x951),f23(x951)))),x951)
% 0.56/0.93 [97]~P3(x971,x973,x972)+P5(f8(f8(f10(f5(x971,a18)))),f8(f8(x972)))
% 0.56/0.93 [100]P6(x1001,x1002)+~P6(f24(f24(x1003,x1003),f24(x1003,f24(x1001,x1001))),f5(x1004,x1002))
% 0.56/0.93 [101]P6(x1011,x1012)+~P6(f24(f24(x1011,x1011),f24(x1011,f24(x1013,x1013))),f5(x1012,x1014))
% 0.56/0.93 [113]~P6(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))),f20(x1134))+P6(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)
% 0.56/0.93 [114]~P6(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))+P6(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)
% 0.56/0.93 [118]~P6(f24(f24(x1184,x1184),f24(x1184,f24(x1181,x1181))),f6(x1182,x1183))+P6(x1181,f8(f8(f10(f5(f9(x1182,f5(f8(f8(f10(f5(f9(x1183,f5(f24(x1184,x1184),a18)),a18)))),a18)),a18)))))
% 0.56/0.93 [91]~P2(x911)+P7(x911)+~P2(f8(f10(f5(x911,a18))))
% 0.56/0.93 [102]P2(x1021)+~P5(x1021,f5(a18,a18))+~P5(f6(x1021,f8(f10(f5(x1021,a18)))),a12)
% 0.56/0.93 [110]P1(x1101)+~P6(a13,x1101)+~P5(f8(f8(f10(f5(f9(a19,f5(x1101,a18)),a18)))),x1101)
% 0.56/0.93 [117]~P6(x1171,a18)+E(x1171,a13)+P6(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(a2,f5(f24(x1171,x1171),a18)),a18))))))),x1171)
% 0.56/0.93 [69]~P5(x692,x691)+~P5(x691,x692)+E(x691,x692)
% 0.56/0.93 [72]P6(x721,x722)+P6(x721,f7(x722))+~P6(x721,a18)
% 0.56/0.93 [87]P6(x872,f8(x871))+~P6(x872,a18)+E(f9(x871,f5(f24(x872,x872),a18)),a13)
% 0.56/0.93 [106]~P6(x1061,x1062)+~P6(f24(f24(x1061,x1061),f24(x1061,f24(x1062,x1062))),f5(a18,a18))+P6(f24(f24(x1061,x1061),f24(x1061,f24(x1062,x1062))),a4)
% 0.56/0.93 [107]~P6(f24(f24(x1071,x1071),f24(x1071,f24(x1072,x1072))),f5(a18,a18))+~E(f7(f9(f7(x1071),f7(f24(x1071,x1071)))),x1072)+P6(f24(f24(x1071,x1071),f24(x1071,f24(x1072,x1072))),a19)
% 0.56/0.93 [109]~P2(x1091)+~P6(x1092,a18)+P6(f8(f8(f10(f5(f9(x1091,f5(x1092,a18)),a18)))),a18)
% 0.56/0.93 [73]~P6(x731,x733)+P6(x731,x732)+~P5(x733,x732)
% 0.56/0.93 [77]E(x771,x772)+E(x771,x773)+~P6(x771,f24(x773,x772))
% 0.56/0.93 [81]~P6(x811,x813)+~P6(x811,x812)+P6(x811,f9(x812,x813))
% 0.56/0.93 [96]~P6(x962,x964)+~P6(x961,x963)+P6(f24(f24(x961,x961),f24(x961,f24(x962,x962))),f5(x963,x964))
% 0.56/0.93 [115]~P6(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)+P6(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))),f20(x1154))+~P6(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(a18,a18),a18))
% 0.56/0.93 [116]~P6(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)+P6(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))+~P6(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(a18,a18),a18))
% 0.56/0.93 [119]P6(f24(f24(x1191,x1191),f24(x1191,f24(x1192,x1192))),f6(x1193,x1194))+~P6(f24(f24(x1191,x1191),f24(x1191,f24(x1192,x1192))),f5(a18,a18))+~P6(x1192,f8(f8(f10(f5(f9(x1193,f5(f8(f8(f10(f5(f9(x1194,f5(f24(x1191,x1191),a18)),a18)))),a18)),a18)))))
% 0.56/0.93 [120]~P4(x1202,x1205,x1201)+~P6(f24(f24(x1203,x1203),f24(x1203,f24(x1204,x1204))),f8(x1205))+E(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1201,f5(f24(f24(f24(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1202,f5(f24(x1203,x1203),a18)),a18))))))),f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1202,f5(f24(x1203,x1203),a18)),a18)))))))),f24(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1202,f5(f24(x1203,x1203),a18)),a18))))))),f24(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1202,f5(f24(x1204,x1204),a18)),a18))))))),f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1202,f5(f24(x1204,x1204),a18)),a18)))))))))),f24(f24(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1202,f5(f24(x1203,x1203),a18)),a18))))))),f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1202,f5(f24(x1203,x1203),a18)),a18)))))))),f24(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1202,f5(f24(x1203,x1203),a18)),a18))))))),f24(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1202,f5(f24(x1204,x1204),a18)),a18))))))),f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1202,f5(f24(x1204,x1204),a18)),a18))))))))))),a18)),a18))))))),f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1202,f5(f24(f8(f9(a4,f5(a18,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)))),a18)),a18))))))),f8(f9(a4,f5(a18,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)))),a18)),a18)))))))),a18)),a18))))))))
% 0.56/0.93 [104]~P2(x1041)+P8(x1041)+~E(f5(f8(f8(x1041)),f8(f8(x1041))),f8(x1041))+~P5(f8(f8(f10(f5(x1041,a18)))),f8(f8(x1041)))
% 0.56/0.93 [103]~P2(x1031)+P3(x1031,x1032,x1033)+~E(f8(f8(x1032)),f8(x1031))+~P5(f8(f8(f10(f5(x1031,a18)))),f8(f8(x1033)))
% 0.56/0.93 [111]~P8(x1113)+~P8(x1112)+~P3(x1111,x1112,x1113)+P4(x1111,x1112,x1113)+P6(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))
% 0.56/0.93 [121]~P8(x1213)+~P8(x1212)+~P3(x1211,x1212,x1213)+P4(x1211,x1212,x1213)+~E(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1213,f5(f24(f24(f24(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1211,f5(f24(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),a18)),a18))))))),f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1211,f5(f24(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),a18)),a18)))))))),f24(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1211,f5(f24(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),a18)),a18))))))),f24(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1211,f5(f24(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213)),a18)),a18))))))),f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1211,f5(f24(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213)),a18)),a18)))))))))),f24(f24(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1211,f5(f24(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),a18)),a18))))))),f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1211,f5(f24(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),a18)),a18)))))))),f24(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1211,f5(f24(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),a18)),a18))))))),f24(f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1211,f5(f24(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213)),a18)),a18))))))),f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1211,f5(f24(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213)),a18)),a18))))))))))),a18)),a18))))))),f8(f9(a4,f5(a18,f8(f8(f10(f5(f9(x1211,f5(f24(f8(f9(a4,f5(a18,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))))),a18)),a18))))))),f8(f9(a4,f5(a18,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))))),a18)),a18)))))))),a18)),a18))))))))
% 0.56/0.93 %EqnAxiom
% 0.56/0.93 [1]E(x11,x11)
% 0.56/0.93 [2]E(x22,x21)+~E(x21,x22)
% 0.56/0.93 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.56/0.93 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 0.56/0.93 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 0.56/0.93 [6]~E(x61,x62)+E(f8(x61),f8(x62))
% 0.56/0.93 [7]~E(x71,x72)+E(f24(x71,x73),f24(x72,x73))
% 0.56/0.93 [8]~E(x81,x82)+E(f24(x83,x81),f24(x83,x82))
% 0.56/0.93 [9]~E(x91,x92)+E(f6(x91,x93),f6(x92,x93))
% 0.56/0.93 [10]~E(x101,x102)+E(f6(x103,x101),f6(x103,x102))
% 0.56/0.93 [11]~E(x111,x112)+E(f9(x111,x113),f9(x112,x113))
% 0.56/0.93 [12]~E(x121,x122)+E(f9(x123,x121),f9(x123,x122))
% 0.56/0.93 [13]~E(x131,x132)+E(f15(x131,x133,x134),f15(x132,x133,x134))
% 0.56/0.93 [14]~E(x141,x142)+E(f15(x143,x141,x144),f15(x143,x142,x144))
% 0.56/0.93 [15]~E(x151,x152)+E(f15(x153,x154,x151),f15(x153,x154,x152))
% 0.56/0.93 [16]~E(x161,x162)+E(f10(x161),f10(x162))
% 0.56/0.93 [17]~E(x171,x172)+E(f16(x171,x173,x174),f16(x172,x173,x174))
% 0.56/0.93 [18]~E(x181,x182)+E(f16(x183,x181,x184),f16(x183,x182,x184))
% 0.56/0.93 [19]~E(x191,x192)+E(f16(x193,x194,x191),f16(x193,x194,x192))
% 0.56/0.93 [20]~E(x201,x202)+E(f7(x201),f7(x202))
% 0.56/0.93 [21]~E(x211,x212)+E(f20(x211),f20(x212))
% 0.56/0.93 [22]~E(x221,x222)+E(f23(x221),f23(x222))
% 0.56/0.93 [23]~E(x231,x232)+E(f14(x231,x233),f14(x232,x233))
% 0.56/0.93 [24]~E(x241,x242)+E(f14(x243,x241),f14(x243,x242))
% 0.56/0.93 [25]~E(x251,x252)+E(f21(x251),f21(x252))
% 0.56/0.93 [26]~E(x261,x262)+E(f11(x261),f11(x262))
% 0.56/0.93 [27]~E(x271,x272)+E(f3(x271),f3(x272))
% 0.56/0.93 [28]~P1(x281)+P1(x282)+~E(x281,x282)
% 0.56/0.93 [29]~P2(x291)+P2(x292)+~E(x291,x292)
% 0.56/0.93 [30]P5(x302,x303)+~E(x301,x302)+~P5(x301,x303)
% 0.56/0.93 [31]P5(x313,x312)+~E(x311,x312)+~P5(x313,x311)
% 0.56/0.93 [32]P6(x322,x323)+~E(x321,x322)+~P6(x321,x323)
% 0.56/0.93 [33]P6(x333,x332)+~E(x331,x332)+~P6(x333,x331)
% 0.56/0.93 [34]~P8(x341)+P8(x342)+~E(x341,x342)
% 0.56/0.93 [35]P3(x352,x353,x354)+~E(x351,x352)+~P3(x351,x353,x354)
% 0.56/0.93 [36]P3(x363,x362,x364)+~E(x361,x362)+~P3(x363,x361,x364)
% 0.56/0.93 [37]P3(x373,x374,x372)+~E(x371,x372)+~P3(x373,x374,x371)
% 0.56/0.93 [38]~P9(x381)+P9(x382)+~E(x381,x382)
% 0.56/0.93 [39]P4(x392,x393,x394)+~E(x391,x392)+~P4(x391,x393,x394)
% 0.56/0.93 [40]P4(x403,x402,x404)+~E(x401,x402)+~P4(x403,x401,x404)
% 0.56/0.93 [41]P4(x413,x414,x412)+~E(x411,x412)+~P4(x413,x414,x411)
% 0.56/0.93 [42]~P7(x421)+P7(x422)+~E(x421,x422)
% 0.56/0.93
% 0.56/0.93 %-------------------------------------------
% 0.56/0.93 cnf(128,plain,
% 0.56/0.93 (~E(a25,a17)),
% 0.56/0.93 inference(scs_inference,[],[45,46,59,56,2,63,62,31,30])).
% 0.56/0.93 cnf(129,plain,
% 0.56/0.93 (~P5(a26,a25)),
% 0.56/0.93 inference(scs_inference,[],[45,46,59,56,2,63,62,31,30,69])).
% 0.56/0.93 cnf(157,plain,
% 0.56/0.93 (E(f16(x1571,x1572,f9(f8(f10(f5(a22,a18))),a22)),f16(x1571,x1572,a12))),
% 0.56/0.93 inference(scs_inference,[],[45,46,59,43,44,47,56,2,63,62,31,30,69,65,64,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19])).
% 0.56/0.93 cnf(158,plain,
% 0.56/0.93 (E(f16(x1581,f9(f8(f10(f5(a22,a18))),a22),x1582),f16(x1581,a12,x1582))),
% 0.56/0.93 inference(scs_inference,[],[45,46,59,43,44,47,56,2,63,62,31,30,69,65,64,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18])).
% 0.56/0.93 cnf(175,plain,
% 0.56/0.93 (~P6(f14(a17,a26),a26)),
% 0.56/0.93 inference(scs_inference,[],[45,46,59,43,44,47,56,2,63,62,31,30,69,65,64,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,80])).
% 0.56/0.93 cnf(177,plain,
% 0.56/0.93 (P6(f14(a17,a26),a17)),
% 0.56/0.93 inference(scs_inference,[],[45,46,59,43,44,47,56,2,63,62,31,30,69,65,64,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,80,70])).
% 0.56/0.93 cnf(185,plain,
% 0.56/0.93 (~E(a18,f7(a18))),
% 0.56/0.93 inference(scs_inference,[],[45,46,59,43,44,47,56,2,63,62,31,30,69,65,64,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,80,70,100,101,98,33])).
% 0.56/0.93 cnf(197,plain,
% 0.56/0.93 (P6(f24(f24(a1,a1),f24(a1,f24(a1,a1))),f5(a18,a18))),
% 0.56/0.93 inference(scs_inference,[],[45,46,59,43,44,47,56,2,63,62,31,30,69,65,64,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,80,70,100,101,98,33,32,73,72,109,81,77,96])).
% 0.56/0.93 cnf(201,plain,
% 0.56/0.93 (~P6(f24(f24(f24(f24(x2011,x2011),f24(x2011,f24(x2012,x2012))),f24(f24(x2011,x2011),f24(x2011,f24(x2012,x2012)))),f24(f24(f24(x2011,x2011),f24(x2011,f24(x2012,x2012))),f24(a1,a1))),f10(f5(x2013,f7(a18))))),
% 0.56/0.93 inference(scs_inference,[],[45,46,59,43,44,47,56,2,63,62,31,30,69,65,64,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,80,70,100,101,98,33,32,73,72,109,81,77,96,99,114])).
% 0.56/0.93 cnf(248,plain,
% 0.56/0.93 (P6(f24(x2481,x2482),a18)),
% 0.56/0.93 inference(rename_variables,[],[51])).
% 0.56/0.93 cnf(250,plain,
% 0.56/0.93 (~P5(a18,f10(f5(x2501,f7(a18))))),
% 0.56/0.93 inference(scs_inference,[],[45,53,51,248,44,201,197,157,158,185,128,79,78,95,63,109,77,2,62,3,69,72,73])).
% 0.56/0.93 cnf(273,plain,
% 0.56/0.93 (~P6(f14(a17,a26),a25)),
% 0.56/0.93 inference(scs_inference,[],[46,250,175,129,63,62,73])).
% 0.56/0.93 cnf(391,plain,
% 0.56/0.93 ($false),
% 0.56/0.93 inference(scs_inference,[],[58,51,273,177,45,96,63,62,73]),
% 0.56/0.93 ['proof']).
% 0.56/0.93 % SZS output end Proof
% 0.56/0.93 % Total time :0.250000s
%------------------------------------------------------------------------------