TSTP Solution File: SET076-6 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET076-6 : 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 : 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 14:28:29 EDT 2023
% Result : Unsatisfiable 0.72s 0.85s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET076-6 : 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
% 0.13/0.35 % Computer : n015.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 14:22:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 0.72/0.85 %-------------------------------------------
% 0.72/0.85 % File :CSE---1.6
% 0.72/0.85 % Problem :theBenchmark
% 0.72/0.85 % Transform :cnf
% 0.72/0.85 % Format :tptp:raw
% 0.72/0.85 % Command :java -jar mcs_scs.jar %d %s
% 0.72/0.85
% 0.72/0.85 % Result :Theorem 0.210000s
% 0.72/0.85 % Output :CNFRefutation 0.210000s
% 0.72/0.85 %-------------------------------------------
% 0.72/0.85 %------------------------------------------------------------------------------
% 0.72/0.85 % File : SET076-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.72/0.85 % Domain : Set Theory
% 0.72/0.85 % Problem : Unorderd pair is a subset
% 0.72/0.85 % Version : [Qua92] axioms.
% 0.72/0.85 % English : If both members of an unordered pair belong to a set, the
% 0.72/0.85 % pair is a subset.
% 0.72/0.85
% 0.72/0.85 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 0.72/0.85 % Source : [Quaife]
% 0.72/0.85 % Names :
% 0.72/0.85
% 0.72/0.85 % Status : Unsatisfiable
% 0.72/0.85 % Rating : 0.24 v8.1.0, 0.16 v7.5.0, 0.21 v7.4.0, 0.24 v7.3.0, 0.25 v7.1.0, 0.17 v7.0.0, 0.27 v6.3.0, 0.18 v6.2.0, 0.30 v6.1.0, 0.50 v5.5.0, 0.70 v5.4.0, 0.75 v5.3.0, 0.72 v5.2.0, 0.69 v5.1.0, 0.71 v4.1.0, 0.77 v4.0.1, 0.64 v4.0.0, 0.55 v3.7.0, 0.40 v3.5.0, 0.45 v3.4.0, 0.50 v3.3.0, 0.57 v3.2.0, 0.62 v3.1.0, 0.55 v2.7.0, 0.50 v2.6.0, 0.67 v2.5.0, 0.73 v2.4.0, 0.88 v2.2.1, 0.83 v2.2.0, 0.67 v2.1.0
% 0.72/0.85 % Syntax : Number of clauses : 94 ( 32 unt; 8 nHn; 65 RR)
% 0.72/0.85 % Number of literals : 184 ( 39 equ; 85 neg)
% 0.72/0.85 % Maximal clause size : 5 ( 1 avg)
% 0.72/0.85 % Maximal term depth : 6 ( 1 avg)
% 0.72/0.85 % Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% 0.72/0.85 % Number of functors : 41 ( 41 usr; 11 con; 0-3 aty)
% 0.72/0.85 % Number of variables : 176 ( 25 sgn)
% 0.72/0.85 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.72/0.85
% 0.72/0.85 % Comments :
% 0.72/0.85 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 0.72/0.85 %------------------------------------------------------------------------------
% 0.72/0.85 %----Include von Neuman-Bernays-Godel set theory axioms
% 0.72/0.85 include('Axioms/SET004-0.ax').
% 0.72/0.85 %------------------------------------------------------------------------------
% 0.72/0.85 cnf(prove_unordered_pair_is_subset_1,negated_conjecture,
% 0.72/0.85 member(x,z) ).
% 0.72/0.85
% 0.72/0.85 cnf(prove_unordered_pair_is_subset_2,negated_conjecture,
% 0.72/0.85 member(y,z) ).
% 0.72/0.85
% 0.72/0.85 cnf(prove_unordered_pair_is_subset_3,negated_conjecture,
% 0.72/0.85 ~ subclass(unordered_pair(x,y),z) ).
% 0.72/0.85
% 0.72/0.85 %------------------------------------------------------------------------------
% 0.72/0.85 %-------------------------------------------
% 0.72/0.85 % Proof found
% 0.72/0.85 % SZS status Theorem for theBenchmark
% 0.72/0.85 % SZS output start Proof
% 0.72/0.86 %ClaNum:121(EqnAxiom:42)
% 0.72/0.86 %VarNum:718(SingletonVarNum:150)
% 0.72/0.86 %MaxLitNum:5
% 0.72/0.86 %MaxfuncDepth:24
% 0.72/0.86 %SharedTerms:36
% 0.72/0.86 %goalClause: 46 47 59
% 0.72/0.86 %singleGoalClaCount:3
% 0.72/0.86 [43]P1(a1)
% 0.72/0.86 [44]P2(a2)
% 0.72/0.86 [45]P5(a1,a17)
% 0.72/0.86 [46]P5(a23,a25)
% 0.72/0.86 [47]P5(a26,a25)
% 0.72/0.86 [49]P6(a4,f5(a17,a17))
% 0.72/0.86 [50]P6(a18,f5(a17,a17))
% 0.72/0.86 [59]~P6(f24(a23,a26),a25)
% 0.72/0.86 [56]E(f9(f8(f10(f5(a21,a17))),a21),a12)
% 0.72/0.86 [57]E(f9(f5(a17,a17),f9(f5(a17,a17),f7(f6(f7(a4),f8(f10(f5(a4,a17))))))),a21)
% 0.72/0.86 [48]P6(x481,a17)
% 0.72/0.86 [54]P6(f19(x541),f5(f5(a17,a17),a17))
% 0.72/0.86 [55]P6(f10(x551),f5(f5(a17,a17),a17))
% 0.72/0.86 [58]E(f9(f8(x581),f7(f8(f9(f6(f8(f10(f5(a4,a17))),x581),a12)))),f3(x581))
% 0.72/0.86 [51]P5(f24(x511,x512),a17)
% 0.72/0.86 [52]P6(f6(x521,x522),f5(a17,a17))
% 0.72/0.86 [53]E(f9(f5(x531,x532),x533),f9(x533,f5(x531,x532)))
% 0.72/0.86 [60]~P7(x601)+P2(x601)
% 0.72/0.86 [61]~P8(x611)+P2(x611)
% 0.72/0.86 [64]~P1(x641)+P6(a1,x641)
% 0.72/0.86 [65]~P1(x651)+P5(a13,x651)
% 0.72/0.86 [67]P5(f20(x671),x671)+E(x671,a13)
% 0.72/0.86 [68]~P2(x681)+P6(x681,f5(a17,a17))
% 0.72/0.86 [66]E(x661,a13)+E(f9(x661,f20(x661)),a13)
% 0.72/0.86 [76]~P8(x761)+E(f5(f8(f8(x761)),f8(f8(x761))),f8(x761))
% 0.72/0.86 [86]~P7(x861)+P2(f8(f10(f5(x861,a17))))
% 0.72/0.86 [90]~P5(x901,a17)+P5(f8(f9(a4,f5(a17,x901))),a17)
% 0.72/0.86 [92]~P9(x921)+P6(f6(x921,f8(f10(f5(x921,a17)))),a12)
% 0.72/0.86 [93]~P2(x931)+P6(f6(x931,f8(f10(f5(x931,a17)))),a12)
% 0.72/0.86 [94]~P8(x941)+P6(f8(f8(f10(f5(x941,a17)))),f8(f8(x941)))
% 0.72/0.86 [99]P9(x991)+~P6(f6(x991,f8(f10(f5(x991,a17)))),a12)
% 0.72/0.86 [108]~P1(x1081)+P6(f8(f8(f10(f5(f9(a18,f5(x1081,a17)),a17)))),x1081)
% 0.72/0.86 [112]~P5(x1121,a17)+P5(f7(f8(f8(f10(f5(f9(a4,f5(f7(x1121),a17)),a17))))),a17)
% 0.72/0.86 [62]~E(x622,x621)+P6(x621,x622)
% 0.72/0.86 [63]~E(x631,x632)+P6(x631,x632)
% 0.72/0.86 [70]P6(x701,x702)+P5(f14(x701,x702),x701)
% 0.72/0.86 [71]~P5(x711,x712)+~P5(x711,f7(x712))
% 0.72/0.86 [74]~P5(x741,a17)+P5(x741,f24(x742,x741))
% 0.72/0.86 [75]~P5(x751,a17)+P5(x751,f24(x751,x752))
% 0.72/0.86 [80]P6(x801,x802)+~P5(f14(x801,x802),x802)
% 0.72/0.86 [89]~P5(x892,f8(x891))+~E(f9(x891,f5(f24(x892,x892),a17)),a13)
% 0.72/0.86 [98]P5(x981,x982)+~P5(f24(f24(x981,x981),f24(x981,f24(x982,x982))),a4)
% 0.72/0.86 [105]~P5(f24(f24(x1051,x1051),f24(x1051,f24(x1052,x1052))),a18)+E(f7(f9(f7(x1051),f7(f24(x1051,x1051)))),x1052)
% 0.72/0.86 [82]P2(x821)+~P3(x821,x822,x823)
% 0.72/0.86 [83]P8(x831)+~P4(x832,x833,x831)
% 0.72/0.86 [84]P8(x841)+~P4(x842,x841,x843)
% 0.72/0.86 [88]~P4(x881,x882,x883)+P3(x881,x882,x883)
% 0.72/0.86 [78]P5(x781,x782)+~P5(x781,f9(x783,x782))
% 0.72/0.86 [79]P5(x791,x792)+~P5(x791,f9(x792,x793))
% 0.72/0.86 [85]~P3(x852,x851,x853)+E(f8(f8(x851)),f8(x852))
% 0.72/0.86 [95]~P5(x951,f5(x952,x953))+E(f24(f24(f11(x951),f11(x951)),f24(f11(x951),f24(f22(x951),f22(x951)))),x951)
% 0.72/0.86 [97]~P3(x971,x973,x972)+P6(f8(f8(f10(f5(x971,a17)))),f8(f8(x972)))
% 0.72/0.86 [100]P5(x1001,x1002)+~P5(f24(f24(x1003,x1003),f24(x1003,f24(x1001,x1001))),f5(x1004,x1002))
% 0.72/0.86 [101]P5(x1011,x1012)+~P5(f24(f24(x1011,x1011),f24(x1011,f24(x1013,x1013))),f5(x1012,x1014))
% 0.72/0.86 [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)
% 0.72/0.86 [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)
% 0.72/0.86 [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)))))
% 0.72/0.86 [91]~P2(x911)+P7(x911)+~P2(f8(f10(f5(x911,a17))))
% 0.72/0.86 [102]P2(x1021)+~P6(x1021,f5(a17,a17))+~P6(f6(x1021,f8(f10(f5(x1021,a17)))),a12)
% 0.72/0.86 [110]P1(x1101)+~P5(a13,x1101)+~P6(f8(f8(f10(f5(f9(a18,f5(x1101,a17)),a17)))),x1101)
% 0.72/0.86 [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)
% 0.72/0.86 [69]~P6(x692,x691)+~P6(x691,x692)+E(x691,x692)
% 0.72/0.86 [72]P5(x721,x722)+P5(x721,f7(x722))+~P5(x721,a17)
% 0.72/0.86 [87]P5(x872,f8(x871))+~P5(x872,a17)+E(f9(x871,f5(f24(x872,x872),a17)),a13)
% 0.72/0.86 [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)
% 0.72/0.86 [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)
% 0.72/0.86 [109]~P2(x1091)+~P5(x1092,a17)+P5(f8(f8(f10(f5(f9(x1091,f5(x1092,a17)),a17)))),a17)
% 0.72/0.86 [73]~P5(x731,x733)+P5(x731,x732)+~P6(x733,x732)
% 0.72/0.86 [77]E(x771,x772)+E(x771,x773)+~P5(x771,f24(x773,x772))
% 0.72/0.86 [81]~P5(x811,x813)+~P5(x811,x812)+P5(x811,f9(x812,x813))
% 0.72/0.86 [96]~P5(x962,x964)+~P5(x961,x963)+P5(f24(f24(x961,x961),f24(x961,f24(x962,x962))),f5(x963,x964))
% 0.72/0.86 [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))
% 0.72/0.86 [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))
% 0.72/0.86 [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)))))
% 0.72/0.86 [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))))))))
% 0.72/0.86 [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)))
% 0.72/0.86 [103]~P2(x1031)+P3(x1031,x1032,x1033)+~E(f8(f8(x1032)),f8(x1031))+~P6(f8(f8(f10(f5(x1031,a17)))),f8(f8(x1033)))
% 0.72/0.86 [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))
% 0.72/0.86 [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))))))))
% 0.72/0.86 %EqnAxiom
% 0.72/0.86 [1]E(x11,x11)
% 0.72/0.86 [2]E(x22,x21)+~E(x21,x22)
% 0.72/0.86 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.72/0.86 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 0.72/0.86 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 0.72/0.86 [6]~E(x61,x62)+E(f8(x61),f8(x62))
% 0.72/0.86 [7]~E(x71,x72)+E(f24(x71,x73),f24(x72,x73))
% 0.72/0.86 [8]~E(x81,x82)+E(f24(x83,x81),f24(x83,x82))
% 0.72/0.86 [9]~E(x91,x92)+E(f6(x91,x93),f6(x92,x93))
% 0.72/0.86 [10]~E(x101,x102)+E(f6(x103,x101),f6(x103,x102))
% 0.72/0.86 [11]~E(x111,x112)+E(f9(x111,x113),f9(x112,x113))
% 0.72/0.86 [12]~E(x121,x122)+E(f9(x123,x121),f9(x123,x122))
% 0.72/0.86 [13]~E(x131,x132)+E(f15(x131,x133,x134),f15(x132,x133,x134))
% 0.72/0.86 [14]~E(x141,x142)+E(f15(x143,x141,x144),f15(x143,x142,x144))
% 0.72/0.86 [15]~E(x151,x152)+E(f15(x153,x154,x151),f15(x153,x154,x152))
% 0.72/0.86 [16]~E(x161,x162)+E(f10(x161),f10(x162))
% 0.72/0.86 [17]~E(x171,x172)+E(f22(x171),f22(x172))
% 0.72/0.86 [18]~E(x181,x182)+E(f7(x181),f7(x182))
% 0.72/0.86 [19]~E(x191,x192)+E(f19(x191),f19(x192))
% 0.72/0.86 [20]~E(x201,x202)+E(f16(x201,x203,x204),f16(x202,x203,x204))
% 0.72/0.86 [21]~E(x211,x212)+E(f16(x213,x211,x214),f16(x213,x212,x214))
% 0.72/0.86 [22]~E(x221,x222)+E(f16(x223,x224,x221),f16(x223,x224,x222))
% 0.72/0.86 [23]~E(x231,x232)+E(f11(x231),f11(x232))
% 0.72/0.86 [24]~E(x241,x242)+E(f14(x241,x243),f14(x242,x243))
% 0.72/0.86 [25]~E(x251,x252)+E(f14(x253,x251),f14(x253,x252))
% 0.72/0.86 [26]~E(x261,x262)+E(f20(x261),f20(x262))
% 0.72/0.86 [27]~E(x271,x272)+E(f3(x271),f3(x272))
% 0.72/0.86 [28]~P1(x281)+P1(x282)+~E(x281,x282)
% 0.72/0.86 [29]~P2(x291)+P2(x292)+~E(x291,x292)
% 0.72/0.86 [30]P5(x302,x303)+~E(x301,x302)+~P5(x301,x303)
% 0.72/0.86 [31]P5(x313,x312)+~E(x311,x312)+~P5(x313,x311)
% 0.72/0.86 [32]P3(x322,x323,x324)+~E(x321,x322)+~P3(x321,x323,x324)
% 0.72/0.86 [33]P3(x333,x332,x334)+~E(x331,x332)+~P3(x333,x331,x334)
% 0.72/0.86 [34]P3(x343,x344,x342)+~E(x341,x342)+~P3(x343,x344,x341)
% 0.72/0.86 [35]~P8(x351)+P8(x352)+~E(x351,x352)
% 0.72/0.86 [36]P6(x362,x363)+~E(x361,x362)+~P6(x361,x363)
% 0.72/0.86 [37]P6(x373,x372)+~E(x371,x372)+~P6(x373,x371)
% 0.72/0.86 [38]~P9(x381)+P9(x382)+~E(x381,x382)
% 0.72/0.86 [39]P4(x392,x393,x394)+~E(x391,x392)+~P4(x391,x393,x394)
% 0.72/0.86 [40]P4(x403,x402,x404)+~E(x401,x402)+~P4(x403,x401,x404)
% 0.72/0.86 [41]P4(x413,x414,x412)+~E(x411,x412)+~P4(x413,x414,x411)
% 0.72/0.86 [42]~P7(x421)+P7(x422)+~E(x421,x422)
% 0.72/0.86
% 0.72/0.86 %-------------------------------------------
% 0.72/0.86 cnf(122,plain,
% 0.72/0.86 (E(a12,f9(f8(f10(f5(a21,a17))),a21))),
% 0.72/0.86 inference(scs_inference,[],[56,2])).
% 0.72/0.86 cnf(123,plain,
% 0.72/0.86 (~E(f24(a23,a26),a25)),
% 0.72/0.86 inference(scs_inference,[],[59,56,2,63])).
% 0.72/0.86 cnf(127,plain,
% 0.72/0.86 (~E(a17,a25)),
% 0.72/0.86 inference(scs_inference,[],[48,59,56,2,63,62,37])).
% 0.72/0.86 cnf(128,plain,
% 0.72/0.86 (P6(x1281,a17)),
% 0.72/0.86 inference(rename_variables,[],[48])).
% 0.72/0.86 cnf(148,plain,
% 0.72/0.86 (~P5(a23,f7(a25))),
% 0.72/0.86 inference(scs_inference,[],[46,48,128,43,44,45,59,56,2,63,62,37,73,65,64,68,112,108,90,75,74,71])).
% 0.72/0.86 cnf(150,plain,
% 0.72/0.86 (E(f3(f9(f8(f10(f5(a21,a17))),a21)),f3(a12))),
% 0.72/0.86 inference(scs_inference,[],[46,48,128,43,44,45,59,56,2,63,62,37,73,65,64,68,112,108,90,75,74,71,27])).
% 0.72/0.86 cnf(155,plain,
% 0.72/0.86 (E(f16(x1551,x1552,f9(f8(f10(f5(a21,a17))),a21)),f16(x1551,x1552,a12))),
% 0.72/0.86 inference(scs_inference,[],[46,48,128,43,44,45,59,56,2,63,62,37,73,65,64,68,112,108,90,75,74,71,27,26,25,24,23,22])).
% 0.72/0.86 cnf(156,plain,
% 0.72/0.86 (E(f16(x1561,f9(f8(f10(f5(a21,a17))),a21),x1562),f16(x1561,a12,x1562))),
% 0.72/0.86 inference(scs_inference,[],[46,48,128,43,44,45,59,56,2,63,62,37,73,65,64,68,112,108,90,75,74,71,27,26,25,24,23,22,21])).
% 0.72/0.86 cnf(157,plain,
% 0.72/0.86 (E(f16(f9(f8(f10(f5(a21,a17))),a21),x1571,x1572),f16(a12,x1571,x1572))),
% 0.72/0.86 inference(scs_inference,[],[46,48,128,43,44,45,59,56,2,63,62,37,73,65,64,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20])).
% 0.72/0.86 cnf(174,plain,
% 0.72/0.86 (P6(f6(a2,f8(f10(f5(a2,a17)))),a12)),
% 0.72/0.86 inference(scs_inference,[],[46,48,128,43,44,45,59,56,2,63,62,37,73,65,64,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93])).
% 0.72/0.86 cnf(176,plain,
% 0.72/0.86 (~P5(f14(f24(a23,a26),a25),a25)),
% 0.72/0.86 inference(scs_inference,[],[46,48,128,43,44,45,59,56,2,63,62,37,73,65,64,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,80])).
% 0.72/0.86 cnf(178,plain,
% 0.72/0.86 (P5(f14(f24(a23,a26),a25),f24(a23,a26))),
% 0.72/0.86 inference(scs_inference,[],[46,48,128,43,44,45,59,56,2,63,62,37,73,65,64,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,80,70])).
% 0.72/0.86 cnf(180,plain,
% 0.72/0.86 (~P5(f24(f24(x1801,x1801),f24(x1801,f24(a23,a23))),f5(x1802,f7(a25)))),
% 0.72/0.86 inference(scs_inference,[],[46,48,128,43,44,45,59,56,2,63,62,37,73,65,64,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,80,70,100])).
% 0.72/0.86 cnf(184,plain,
% 0.72/0.86 (~P5(f24(f24(a23,a23),f24(a23,f24(f7(a25),f7(a25)))),a4)),
% 0.72/0.86 inference(scs_inference,[],[46,48,128,43,44,45,59,56,2,63,62,37,73,65,64,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,80,70,100,101,98])).
% 0.72/0.86 cnf(187,plain,
% 0.72/0.86 (~E(a25,f7(a25))),
% 0.72/0.86 inference(scs_inference,[],[46,48,128,43,44,45,59,56,2,63,62,37,73,65,64,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,80,70,100,101,98,36,31])).
% 0.72/0.86 cnf(188,plain,
% 0.72/0.86 (~E(a23,f14(f24(a23,a26),a25))),
% 0.72/0.86 inference(scs_inference,[],[46,48,128,43,44,45,59,56,2,63,62,37,73,65,64,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,80,70,100,101,98,36,31,30])).
% 0.72/0.86 cnf(231,plain,
% 0.72/0.86 (~P5(f24(f24(x2311,x2311),f24(x2311,f24(a23,a23))),f9(f5(x2312,f7(a25)),x2313))),
% 0.72/0.86 inference(scs_inference,[],[180,79])).
% 0.72/0.86 cnf(233,plain,
% 0.72/0.86 (~P5(f24(f24(x2331,x2331),f24(x2331,f24(a23,a23))),f9(x2332,f5(x2333,f7(a25))))),
% 0.72/0.86 inference(scs_inference,[],[180,79,78])).
% 0.72/0.86 cnf(241,plain,
% 0.72/0.86 (~P6(a25,f7(a25))),
% 0.72/0.86 inference(scs_inference,[],[46,57,180,148,79,78,63,62,81,73])).
% 0.72/0.86 cnf(246,plain,
% 0.72/0.86 (P5(f24(x2461,x2462),a17)),
% 0.72/0.86 inference(rename_variables,[],[51])).
% 0.72/0.86 cnf(252,plain,
% 0.72/0.87 (~E(f14(f24(a23,a26),a25),a23)),
% 0.72/0.87 inference(scs_inference,[],[46,57,51,246,44,180,188,148,79,78,63,62,81,73,69,72,109,77,2])).
% 0.72/0.87 cnf(260,plain,
% 0.72/0.87 (~E(a26,f14(f24(a23,a26),a25))),
% 0.72/0.87 inference(scs_inference,[],[46,47,57,58,51,246,44,180,150,188,176,148,79,78,63,62,81,73,69,72,109,77,2,3,29,37,36,31,30])).
% 0.72/0.87 cnf(269,plain,
% 0.72/0.87 (~P6(a17,f9(f5(x2691,f7(a25)),x2692))),
% 0.72/0.87 inference(scs_inference,[],[51,231,241,62,73])).
% 0.72/0.87 cnf(272,plain,
% 0.72/0.87 (E(f14(f24(a23,a26),a25),a26)),
% 0.72/0.87 inference(scs_inference,[],[51,231,241,252,178,62,73,77])).
% 0.72/0.87 cnf(276,plain,
% 0.72/0.87 (E(f9(x2761,f5(x2762,x2763)),f9(f5(x2762,x2763),x2761))),
% 0.72/0.87 inference(scs_inference,[],[53,48,51,231,241,252,178,62,73,77,37,2])).
% 0.72/0.87 cnf(277,plain,
% 0.72/0.87 (E(f16(x2771,f9(f8(f10(f5(a21,a17))),a21),f9(f8(f10(f5(a21,a17))),a21)),f16(x2771,a12,a12))),
% 0.72/0.87 inference(scs_inference,[],[53,48,51,231,155,156,241,252,178,62,73,77,37,2,3])).
% 0.72/0.87 cnf(296,plain,
% 0.72/0.87 (P6(x2961,a17)),
% 0.72/0.87 inference(rename_variables,[],[48])).
% 0.72/0.87 cnf(298,plain,
% 0.72/0.87 (~P6(a17,a25)),
% 0.72/0.87 inference(scs_inference,[],[47,58,48,296,127,269,63,62,73,69])).
% 0.72/0.87 cnf(301,plain,
% 0.72/0.87 (~P5(a25,f24(f7(a25),f7(a25)))),
% 0.72/0.87 inference(scs_inference,[],[47,58,48,296,187,127,269,63,62,73,69,77])).
% 0.72/0.87 cnf(323,plain,
% 0.72/0.87 (P5(f24(x3231,x3232),a17)),
% 0.72/0.87 inference(rename_variables,[],[51])).
% 0.72/0.87 cnf(329,plain,
% 0.72/0.87 (P5(f24(x3291,x3292),a17)),
% 0.72/0.87 inference(rename_variables,[],[51])).
% 0.72/0.87 cnf(347,plain,
% 0.72/0.87 (~P5(f24(f24(x3471,x3471),f24(x3471,f24(a23,a23))),f9(x3472,f5(x3473,f7(a25))))),
% 0.72/0.87 inference(rename_variables,[],[233])).
% 0.72/0.87 cnf(352,plain,
% 0.72/0.87 (~P5(f24(f24(x3521,x3521),f24(x3521,f24(a25,a25))),f5(x3522,f24(f7(a25),f7(a25))))),
% 0.72/0.87 inference(scs_inference,[],[123,122,53,58,51,323,329,277,298,301,157,184,233,347,174,269,62,63,73,77,37,31,3,2,36,112,74,80,70,98,114,113,100])).
% 0.72/0.87 cnf(402,plain,
% 0.72/0.87 ($false),
% 0.72/0.87 inference(scs_inference,[],[48,57,53,51,276,352,260,272,73,62,37,3,2]),
% 0.72/0.87 ['proof']).
% 0.72/0.87 % SZS output end Proof
% 0.72/0.87 % Total time :0.210000s
%------------------------------------------------------------------------------