TSTP Solution File: SET138-6 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET138-6 : 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 : n032.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 14:28:56 EDT 2023
% Result : Unsatisfiable 0.14s 0.62s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET138-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Sat Aug 26 15:18:14 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.14/0.46 start to proof:theBenchmark
% 0.14/0.61 %-------------------------------------------
% 0.14/0.61 % File :CSE---1.6
% 0.14/0.61 % Problem :theBenchmark
% 0.14/0.61 % Transform :cnf
% 0.14/0.61 % Format :tptp:raw
% 0.14/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.14/0.61
% 0.14/0.61 % Result :Theorem 0.080000s
% 0.14/0.61 % Output :CNFRefutation 0.080000s
% 0.14/0.61 %-------------------------------------------
% 0.14/0.61 %--------------------------------------------------------------------------
% 0.14/0.61 % File : SET138-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.14/0.61 % Domain : Set Theory
% 0.14/0.61 % Problem : Kludge 2 to instantiate variables in unordered triples
% 0.14/0.61 % Version : [Qua92] axioms.
% 0.14/0.61 % English :
% 0.14/0.61
% 0.14/0.61 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 0.14/0.61 % Source : [Quaife]
% 0.14/0.61 % Names : SB5.11 [Quaife]
% 0.14/0.61
% 0.14/0.61 % Status : Unsatisfiable
% 0.14/0.61 % Rating : 0.14 v8.1.0, 0.16 v7.5.0, 0.21 v7.4.0, 0.12 v7.3.0, 0.25 v7.1.0, 0.17 v7.0.0, 0.40 v6.3.0, 0.27 v6.2.0, 0.40 v6.1.0, 0.43 v6.0.0, 0.50 v5.5.0, 0.80 v5.3.0, 0.83 v5.2.0, 0.75 v5.1.0, 0.71 v5.0.0, 0.64 v4.1.0, 0.69 v4.0.1, 0.73 v4.0.0, 0.64 v3.7.0, 0.50 v3.5.0, 0.55 v3.4.0, 0.67 v3.3.0, 0.57 v3.2.0, 0.54 v3.1.0, 0.55 v2.7.0, 0.58 v2.6.0, 0.44 v2.5.0, 0.64 v2.4.0, 0.50 v2.2.1, 0.67 v2.2.0, 0.33 v2.1.0
% 0.14/0.61 % Syntax : Number of clauses : 96 ( 34 unt; 8 nHn; 66 RR)
% 0.14/0.61 % Number of literals : 186 ( 40 equ; 85 neg)
% 0.14/0.61 % Maximal clause size : 5 ( 1 avg)
% 0.14/0.61 % Maximal term depth : 6 ( 1 avg)
% 0.14/0.61 % Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% 0.14/0.61 % Number of functors : 42 ( 42 usr; 11 con; 0-3 aty)
% 0.14/0.61 % Number of variables : 178 ( 25 sgn)
% 0.14/0.61 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.14/0.61
% 0.14/0.61 % Comments : The 'set builder' problems, of which this is one, do not appear
% 0.14/0.61 % in [Qua92]. In Quaife's development, these problems appear
% 0.14/0.61 % between the SINGLETON and the ORDERED PAIRS problems of [Qu92].
% 0.14/0.61 % However, in order to correspond to the paper, these theorems
% 0.14/0.61 % have not been used in the augmented versions of the subsequent
% 0.14/0.61 % problems in [Qua92].
% 0.14/0.61 % : Not in [Qua92].
% 0.14/0.61 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 0.14/0.61 %--------------------------------------------------------------------------
% 0.14/0.61 %----Include von Neuman-Bernays-Godel set theory axioms
% 0.14/0.61 include('Axioms/SET004-0.ax').
% 0.14/0.61 %--------------------------------------------------------------------------
% 0.14/0.61 %----(SBDEF1): definition of set builder.
% 0.14/0.61 cnf(definition_of_set_builder,axiom,
% 0.14/0.61 union(singleton(X),Y) = set_builder(X,Y) ).
% 0.14/0.61
% 0.14/0.61 cnf(prove_member_of_triple_kludge2_1,negated_conjecture,
% 0.14/0.61 member(u,universal_class) ).
% 0.14/0.61
% 0.14/0.61 cnf(prove_member_of_triple_kludge2_2,negated_conjecture,
% 0.14/0.61 member(v,universal_class) ).
% 0.14/0.62
% 0.14/0.62 cnf(prove_member_of_triple_kludge2_3,negated_conjecture,
% 0.14/0.62 member(w,universal_class) ).
% 0.14/0.62
% 0.14/0.62 cnf(prove_member_of_triple_kludge2_4,negated_conjecture,
% 0.14/0.62 ~ member(u,set_builder(u,set_builder(v,set_builder(w,null_class)))) ).
% 0.14/0.62
% 0.14/0.62 %--------------------------------------------------------------------------
% 0.14/0.62 %-------------------------------------------
% 0.14/0.62 % Proof found
% 0.14/0.62 % SZS status Theorem for theBenchmark
% 0.14/0.62 % SZS output start Proof
% 0.14/0.62 %ClaNum:122(EqnAxiom:42)
% 0.14/0.62 %VarNum:718(SingletonVarNum:150)
% 0.14/0.62 %MaxLitNum:5
% 0.14/0.62 %MaxfuncDepth:24
% 0.14/0.62 %SharedTerms:51
% 0.14/0.62 %goalClause: 46 47 48 60
% 0.14/0.62 %singleGoalClaCount:4
% 0.14/0.62 [43]P1(a1)
% 0.14/0.62 [44]P2(a2)
% 0.14/0.62 [45]P5(a1,a17)
% 0.14/0.62 [46]P5(a18,a17)
% 0.14/0.62 [47]P5(a24,a17)
% 0.14/0.62 [48]P5(a26,a17)
% 0.14/0.62 [50]P6(a4,f5(a17,a17))
% 0.14/0.62 [51]P6(a19,f5(a17,a17))
% 0.14/0.62 [57]E(f9(f8(f10(f5(a22,a17))),a22),a12)
% 0.14/0.62 [58]E(f9(f5(a17,a17),f9(f5(a17,a17),f7(f6(f7(a4),f8(f10(f5(a4,a17))))))),a22)
% 0.14/0.62 [60]~P5(a18,f7(f9(f7(f25(a18,a18)),f7(f7(f9(f7(f25(a24,a24)),f7(f7(f9(f7(f25(a26,a26)),f7(a13))))))))))
% 0.14/0.62 [49]P6(x491,a17)
% 0.14/0.62 [55]P6(f20(x551),f5(f5(a17,a17),a17))
% 0.14/0.62 [56]P6(f10(x561),f5(f5(a17,a17),a17))
% 0.14/0.62 [59]E(f9(f8(x591),f7(f8(f9(f6(f8(f10(f5(a4,a17))),x591),a12)))),f3(x591))
% 0.14/0.62 [52]P5(f25(x521,x522),a17)
% 0.14/0.62 [53]P6(f6(x531,x532),f5(a17,a17))
% 0.14/0.62 [54]E(f9(f5(x541,x542),x543),f9(x543,f5(x541,x542)))
% 0.14/0.62 [61]~P7(x611)+P2(x611)
% 0.14/0.62 [62]~P8(x621)+P2(x621)
% 0.14/0.62 [65]~P1(x651)+P6(a1,x651)
% 0.14/0.62 [66]~P1(x661)+P5(a13,x661)
% 0.14/0.62 [68]P5(f21(x681),x681)+E(x681,a13)
% 0.14/0.62 [69]~P2(x691)+P6(x691,f5(a17,a17))
% 0.14/0.62 [67]E(x671,a13)+E(f9(x671,f21(x671)),a13)
% 0.14/0.62 [77]~P8(x771)+E(f5(f8(f8(x771)),f8(f8(x771))),f8(x771))
% 0.14/0.62 [87]~P7(x871)+P2(f8(f10(f5(x871,a17))))
% 0.14/0.62 [91]~P5(x911,a17)+P5(f8(f9(a4,f5(a17,x911))),a17)
% 0.14/0.62 [93]~P9(x931)+P6(f6(x931,f8(f10(f5(x931,a17)))),a12)
% 0.14/0.62 [94]~P2(x941)+P6(f6(x941,f8(f10(f5(x941,a17)))),a12)
% 0.14/0.62 [95]~P8(x951)+P6(f8(f8(f10(f5(x951,a17)))),f8(f8(x951)))
% 0.14/0.62 [100]P9(x1001)+~P6(f6(x1001,f8(f10(f5(x1001,a17)))),a12)
% 0.14/0.62 [109]~P1(x1091)+P6(f8(f8(f10(f5(f9(a19,f5(x1091,a17)),a17)))),x1091)
% 0.14/0.62 [113]~P5(x1131,a17)+P5(f7(f8(f8(f10(f5(f9(a4,f5(f7(x1131),a17)),a17))))),a17)
% 0.14/0.62 [63]~E(x632,x631)+P6(x631,x632)
% 0.14/0.62 [64]~E(x641,x642)+P6(x641,x642)
% 0.14/0.62 [71]P6(x711,x712)+P5(f14(x711,x712),x711)
% 0.14/0.62 [72]~P5(x721,x722)+~P5(x721,f7(x722))
% 0.14/0.62 [75]~P5(x751,a17)+P5(x751,f25(x752,x751))
% 0.14/0.62 [76]~P5(x761,a17)+P5(x761,f25(x761,x762))
% 0.14/0.62 [81]P6(x811,x812)+~P5(f14(x811,x812),x812)
% 0.14/0.62 [90]~P5(x902,f8(x901))+~E(f9(x901,f5(f25(x902,x902),a17)),a13)
% 0.14/0.62 [99]P5(x991,x992)+~P5(f25(f25(x991,x991),f25(x991,f25(x992,x992))),a4)
% 0.14/0.62 [106]~P5(f25(f25(x1061,x1061),f25(x1061,f25(x1062,x1062))),a19)+E(f7(f9(f7(x1061),f7(f25(x1061,x1061)))),x1062)
% 0.14/0.62 [83]P2(x831)+~P3(x831,x832,x833)
% 0.14/0.62 [84]P8(x841)+~P4(x842,x843,x841)
% 0.14/0.62 [85]P8(x851)+~P4(x852,x851,x853)
% 0.14/0.62 [89]~P4(x891,x892,x893)+P3(x891,x892,x893)
% 0.14/0.62 [79]P5(x791,x792)+~P5(x791,f9(x793,x792))
% 0.14/0.62 [80]P5(x801,x802)+~P5(x801,f9(x802,x803))
% 0.14/0.62 [86]~P3(x862,x861,x863)+E(f8(f8(x861)),f8(x862))
% 0.14/0.62 [96]~P5(x961,f5(x962,x963))+E(f25(f25(f11(x961),f11(x961)),f25(f11(x961),f25(f23(x961),f23(x961)))),x961)
% 0.14/0.62 [98]~P3(x981,x983,x982)+P6(f8(f8(f10(f5(x981,a17)))),f8(f8(x982)))
% 0.14/0.62 [101]P5(x1011,x1012)+~P5(f25(f25(x1013,x1013),f25(x1013,f25(x1011,x1011))),f5(x1014,x1012))
% 0.14/0.62 [102]P5(x1021,x1022)+~P5(f25(f25(x1021,x1021),f25(x1021,f25(x1023,x1023))),f5(x1022,x1024))
% 0.14/0.62 [114]~P5(f25(f25(f25(f25(x1143,x1143),f25(x1143,f25(x1141,x1141))),f25(f25(x1143,x1143),f25(x1143,f25(x1141,x1141)))),f25(f25(f25(x1143,x1143),f25(x1143,f25(x1141,x1141))),f25(x1142,x1142))),f20(x1144))+P5(f25(f25(f25(f25(x1141,x1141),f25(x1141,f25(x1142,x1142))),f25(f25(x1141,x1141),f25(x1141,f25(x1142,x1142)))),f25(f25(f25(x1141,x1141),f25(x1141,f25(x1142,x1142))),f25(x1143,x1143))),x1144)
% 0.14/0.62 [115]~P5(f25(f25(f25(f25(x1152,x1152),f25(x1152,f25(x1151,x1151))),f25(f25(x1152,x1152),f25(x1152,f25(x1151,x1151)))),f25(f25(f25(x1152,x1152),f25(x1152,f25(x1151,x1151))),f25(x1153,x1153))),f10(x1154))+P5(f25(f25(f25(f25(x1151,x1151),f25(x1151,f25(x1152,x1152))),f25(f25(x1151,x1151),f25(x1151,f25(x1152,x1152)))),f25(f25(f25(x1151,x1151),f25(x1151,f25(x1152,x1152))),f25(x1153,x1153))),x1154)
% 0.14/0.62 [119]~P5(f25(f25(x1194,x1194),f25(x1194,f25(x1191,x1191))),f6(x1192,x1193))+P5(x1191,f8(f8(f10(f5(f9(x1192,f5(f8(f8(f10(f5(f9(x1193,f5(f25(x1194,x1194),a17)),a17)))),a17)),a17)))))
% 0.14/0.62 [92]~P2(x921)+P7(x921)+~P2(f8(f10(f5(x921,a17))))
% 0.14/0.62 [103]P2(x1031)+~P6(x1031,f5(a17,a17))+~P6(f6(x1031,f8(f10(f5(x1031,a17)))),a12)
% 0.14/0.62 [111]P1(x1111)+~P5(a13,x1111)+~P6(f8(f8(f10(f5(f9(a19,f5(x1111,a17)),a17)))),x1111)
% 0.14/0.62 [118]~P5(x1181,a17)+E(x1181,a13)+P5(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(a2,f5(f25(x1181,x1181),a17)),a17))))))),x1181)
% 0.14/0.62 [70]~P6(x702,x701)+~P6(x701,x702)+E(x701,x702)
% 0.14/0.62 [73]P5(x731,x732)+P5(x731,f7(x732))+~P5(x731,a17)
% 0.14/0.62 [88]P5(x882,f8(x881))+~P5(x882,a17)+E(f9(x881,f5(f25(x882,x882),a17)),a13)
% 0.14/0.62 [107]~P5(x1071,x1072)+~P5(f25(f25(x1071,x1071),f25(x1071,f25(x1072,x1072))),f5(a17,a17))+P5(f25(f25(x1071,x1071),f25(x1071,f25(x1072,x1072))),a4)
% 0.14/0.62 [108]~P5(f25(f25(x1081,x1081),f25(x1081,f25(x1082,x1082))),f5(a17,a17))+~E(f7(f9(f7(x1081),f7(f25(x1081,x1081)))),x1082)+P5(f25(f25(x1081,x1081),f25(x1081,f25(x1082,x1082))),a19)
% 0.14/0.62 [110]~P2(x1101)+~P5(x1102,a17)+P5(f8(f8(f10(f5(f9(x1101,f5(x1102,a17)),a17)))),a17)
% 0.14/0.62 [74]~P5(x741,x743)+P5(x741,x742)+~P6(x743,x742)
% 0.14/0.62 [78]E(x781,x782)+E(x781,x783)+~P5(x781,f25(x783,x782))
% 0.14/0.62 [82]~P5(x821,x823)+~P5(x821,x822)+P5(x821,f9(x822,x823))
% 0.14/0.62 [97]~P5(x972,x974)+~P5(x971,x973)+P5(f25(f25(x971,x971),f25(x971,f25(x972,x972))),f5(x973,x974))
% 0.14/0.62 [116]~P5(f25(f25(f25(f25(x1162,x1162),f25(x1162,f25(x1163,x1163))),f25(f25(x1162,x1162),f25(x1162,f25(x1163,x1163)))),f25(f25(f25(x1162,x1162),f25(x1162,f25(x1163,x1163))),f25(x1161,x1161))),x1164)+P5(f25(f25(f25(f25(x1161,x1161),f25(x1161,f25(x1162,x1162))),f25(f25(x1161,x1161),f25(x1161,f25(x1162,x1162)))),f25(f25(f25(x1161,x1161),f25(x1161,f25(x1162,x1162))),f25(x1163,x1163))),f20(x1164))+~P5(f25(f25(f25(f25(x1161,x1161),f25(x1161,f25(x1162,x1162))),f25(f25(x1161,x1161),f25(x1161,f25(x1162,x1162)))),f25(f25(f25(x1161,x1161),f25(x1161,f25(x1162,x1162))),f25(x1163,x1163))),f5(f5(a17,a17),a17))
% 0.14/0.62 [117]~P5(f25(f25(f25(f25(x1172,x1172),f25(x1172,f25(x1171,x1171))),f25(f25(x1172,x1172),f25(x1172,f25(x1171,x1171)))),f25(f25(f25(x1172,x1172),f25(x1172,f25(x1171,x1171))),f25(x1173,x1173))),x1174)+P5(f25(f25(f25(f25(x1171,x1171),f25(x1171,f25(x1172,x1172))),f25(f25(x1171,x1171),f25(x1171,f25(x1172,x1172)))),f25(f25(f25(x1171,x1171),f25(x1171,f25(x1172,x1172))),f25(x1173,x1173))),f10(x1174))+~P5(f25(f25(f25(f25(x1171,x1171),f25(x1171,f25(x1172,x1172))),f25(f25(x1171,x1171),f25(x1171,f25(x1172,x1172)))),f25(f25(f25(x1171,x1171),f25(x1171,f25(x1172,x1172))),f25(x1173,x1173))),f5(f5(a17,a17),a17))
% 0.14/0.62 [120]P5(f25(f25(x1201,x1201),f25(x1201,f25(x1202,x1202))),f6(x1203,x1204))+~P5(f25(f25(x1201,x1201),f25(x1201,f25(x1202,x1202))),f5(a17,a17))+~P5(x1202,f8(f8(f10(f5(f9(x1203,f5(f8(f8(f10(f5(f9(x1204,f5(f25(x1201,x1201),a17)),a17)))),a17)),a17)))))
% 0.14/0.62 [121]~P4(x1212,x1215,x1211)+~P5(f25(f25(x1213,x1213),f25(x1213,f25(x1214,x1214))),f8(x1215))+E(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f25(f25(f25(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f25(x1213,x1213),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f25(x1213,x1213),a17)),a17)))))))),f25(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f25(x1213,x1213),a17)),a17))))))),f25(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f25(x1214,x1214),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f25(x1214,x1214),a17)),a17)))))))))),f25(f25(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f25(x1213,x1213),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f25(x1213,x1213),a17)),a17)))))))),f25(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f25(x1213,x1213),a17)),a17))))))),f25(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f25(x1214,x1214),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f25(x1214,x1214),a17)),a17))))))))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f25(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1215,f5(f25(f25(f25(x1213,x1213),f25(x1213,f25(x1214,x1214))),f25(f25(x1213,x1213),f25(x1213,f25(x1214,x1214)))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1215,f5(f25(f25(f25(x1213,x1213),f25(x1213,f25(x1214,x1214))),f25(f25(x1213,x1213),f25(x1213,f25(x1214,x1214)))),a17)),a17)))))))),a17)),a17))))))))
% 0.14/0.62 [105]~P2(x1051)+P8(x1051)+~E(f5(f8(f8(x1051)),f8(f8(x1051))),f8(x1051))+~P6(f8(f8(f10(f5(x1051,a17)))),f8(f8(x1051)))
% 0.14/0.62 [104]~P2(x1041)+P3(x1041,x1042,x1043)+~E(f8(f8(x1042)),f8(x1041))+~P6(f8(f8(f10(f5(x1041,a17)))),f8(f8(x1043)))
% 0.14/0.62 [112]~P8(x1123)+~P8(x1122)+~P3(x1121,x1122,x1123)+P4(x1121,x1122,x1123)+P5(f25(f25(f15(x1121,x1122,x1123),f15(x1121,x1122,x1123)),f25(f15(x1121,x1122,x1123),f25(f16(x1121,x1122,x1123),f16(x1121,x1122,x1123)))),f8(x1122))
% 0.14/0.62 [122]~P8(x1223)+~P8(x1222)+~P3(x1221,x1222,x1223)+P4(x1221,x1222,x1223)+~E(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1223,f5(f25(f25(f25(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1221,f5(f25(f15(x1221,x1222,x1223),f15(x1221,x1222,x1223)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1221,f5(f25(f15(x1221,x1222,x1223),f15(x1221,x1222,x1223)),a17)),a17)))))))),f25(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1221,f5(f25(f15(x1221,x1222,x1223),f15(x1221,x1222,x1223)),a17)),a17))))))),f25(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1221,f5(f25(f16(x1221,x1222,x1223),f16(x1221,x1222,x1223)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1221,f5(f25(f16(x1221,x1222,x1223),f16(x1221,x1222,x1223)),a17)),a17)))))))))),f25(f25(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1221,f5(f25(f15(x1221,x1222,x1223),f15(x1221,x1222,x1223)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1221,f5(f25(f15(x1221,x1222,x1223),f15(x1221,x1222,x1223)),a17)),a17)))))))),f25(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1221,f5(f25(f15(x1221,x1222,x1223),f15(x1221,x1222,x1223)),a17)),a17))))))),f25(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1221,f5(f25(f16(x1221,x1222,x1223),f16(x1221,x1222,x1223)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1221,f5(f25(f16(x1221,x1222,x1223),f16(x1221,x1222,x1223)),a17)),a17))))))))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1221,f5(f25(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1222,f5(f25(f25(f25(f15(x1221,x1222,x1223),f15(x1221,x1222,x1223)),f25(f15(x1221,x1222,x1223),f25(f16(x1221,x1222,x1223),f16(x1221,x1222,x1223)))),f25(f25(f15(x1221,x1222,x1223),f15(x1221,x1222,x1223)),f25(f15(x1221,x1222,x1223),f25(f16(x1221,x1222,x1223),f16(x1221,x1222,x1223))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1222,f5(f25(f25(f25(f15(x1221,x1222,x1223),f15(x1221,x1222,x1223)),f25(f15(x1221,x1222,x1223),f25(f16(x1221,x1222,x1223),f16(x1221,x1222,x1223)))),f25(f25(f15(x1221,x1222,x1223),f15(x1221,x1222,x1223)),f25(f15(x1221,x1222,x1223),f25(f16(x1221,x1222,x1223),f16(x1221,x1222,x1223))))),a17)),a17)))))))),a17)),a17))))))))
% 0.14/0.62 %EqnAxiom
% 0.14/0.62 [1]E(x11,x11)
% 0.14/0.62 [2]E(x22,x21)+~E(x21,x22)
% 0.14/0.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.14/0.62 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 0.14/0.62 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 0.14/0.62 [6]~E(x61,x62)+E(f8(x61),f8(x62))
% 0.14/0.62 [7]~E(x71,x72)+E(f25(x71,x73),f25(x72,x73))
% 0.14/0.62 [8]~E(x81,x82)+E(f25(x83,x81),f25(x83,x82))
% 0.14/0.62 [9]~E(x91,x92)+E(f6(x91,x93),f6(x92,x93))
% 0.14/0.62 [10]~E(x101,x102)+E(f6(x103,x101),f6(x103,x102))
% 0.14/0.62 [11]~E(x111,x112)+E(f9(x111,x113),f9(x112,x113))
% 0.14/0.62 [12]~E(x121,x122)+E(f9(x123,x121),f9(x123,x122))
% 0.14/0.62 [13]~E(x131,x132)+E(f16(x131,x133,x134),f16(x132,x133,x134))
% 0.14/0.62 [14]~E(x141,x142)+E(f16(x143,x141,x144),f16(x143,x142,x144))
% 0.14/0.62 [15]~E(x151,x152)+E(f16(x153,x154,x151),f16(x153,x154,x152))
% 0.14/0.62 [16]~E(x161,x162)+E(f10(x161),f10(x162))
% 0.14/0.62 [17]~E(x171,x172)+E(f15(x171,x173,x174),f15(x172,x173,x174))
% 0.14/0.62 [18]~E(x181,x182)+E(f15(x183,x181,x184),f15(x183,x182,x184))
% 0.14/0.62 [19]~E(x191,x192)+E(f15(x193,x194,x191),f15(x193,x194,x192))
% 0.14/0.62 [20]~E(x201,x202)+E(f14(x201,x203),f14(x202,x203))
% 0.14/0.62 [21]~E(x211,x212)+E(f14(x213,x211),f14(x213,x212))
% 0.14/0.62 [22]~E(x221,x222)+E(f20(x221),f20(x222))
% 0.14/0.62 [23]~E(x231,x232)+E(f23(x231),f23(x232))
% 0.14/0.62 [24]~E(x241,x242)+E(f7(x241),f7(x242))
% 0.14/0.62 [25]~E(x251,x252)+E(f3(x251),f3(x252))
% 0.14/0.62 [26]~E(x261,x262)+E(f21(x261),f21(x262))
% 0.14/0.62 [27]~E(x271,x272)+E(f11(x271),f11(x272))
% 0.14/0.62 [28]~P1(x281)+P1(x282)+~E(x281,x282)
% 0.14/0.62 [29]~P2(x291)+P2(x292)+~E(x291,x292)
% 0.14/0.62 [30]P5(x302,x303)+~E(x301,x302)+~P5(x301,x303)
% 0.14/0.62 [31]P5(x313,x312)+~E(x311,x312)+~P5(x313,x311)
% 0.14/0.62 [32]P3(x322,x323,x324)+~E(x321,x322)+~P3(x321,x323,x324)
% 0.14/0.62 [33]P3(x333,x332,x334)+~E(x331,x332)+~P3(x333,x331,x334)
% 0.14/0.62 [34]P3(x343,x344,x342)+~E(x341,x342)+~P3(x343,x344,x341)
% 0.14/0.62 [35]~P8(x351)+P8(x352)+~E(x351,x352)
% 0.14/0.62 [36]~P7(x361)+P7(x362)+~E(x361,x362)
% 0.14/0.62 [37]P6(x372,x373)+~E(x371,x372)+~P6(x371,x373)
% 0.14/0.62 [38]P6(x383,x382)+~E(x381,x382)+~P6(x383,x381)
% 0.14/0.62 [39]~P9(x391)+P9(x392)+~E(x391,x392)
% 0.14/0.62 [40]P4(x402,x403,x404)+~E(x401,x402)+~P4(x401,x403,x404)
% 0.14/0.62 [41]P4(x413,x412,x414)+~E(x411,x412)+~P4(x413,x411,x414)
% 0.14/0.62 [42]P4(x423,x424,x422)+~E(x421,x422)+~P4(x423,x424,x421)
% 0.14/0.62
% 0.14/0.62 %-------------------------------------------
% 0.14/0.62 cnf(125,plain,
% 0.14/0.62 (P5(a18,f9(f7(f25(a18,a18)),f7(f7(f9(f7(f25(a24,a24)),f7(f7(f9(f7(f25(a26,a26)),f7(a13)))))))))),
% 0.14/0.62 inference(scs_inference,[],[46,57,60,2,31,73])).
% 0.14/0.62 cnf(131,plain,
% 0.14/0.62 (P6(f9(f8(f10(f5(a22,a17))),a22),a12)),
% 0.14/0.62 inference(scs_inference,[],[46,43,57,60,2,31,73,66,65,64])).
% 0.14/0.62 cnf(147,plain,
% 0.14/0.62 (P5(a18,f25(a18,x1471))),
% 0.14/0.62 inference(scs_inference,[],[46,43,44,57,60,2,31,73,66,65,64,63,69,113,109,91,80,79,76])).
% 0.14/0.62 cnf(179,plain,
% 0.14/0.62 (~P5(f25(f25(x1791,x1791),f25(x1791,f25(a18,a18))),f5(x1792,f7(f9(f7(f25(a18,a18)),f7(f7(f9(f7(f25(a24,a24)),f7(f7(f9(f7(f25(a26,a26)),f7(a13)))))))))))),
% 0.14/0.62 inference(scs_inference,[],[46,43,44,57,60,2,31,73,66,65,64,63,69,113,109,91,80,79,76,75,72,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,94,101])).
% 0.14/0.62 cnf(186,plain,
% 0.14/0.62 (~P6(a17,f7(f9(f7(f25(a18,a18)),f7(f7(f9(f7(f25(a24,a24)),f7(f7(f9(f7(f25(a26,a26)),f7(a13))))))))))),
% 0.14/0.62 inference(scs_inference,[],[46,43,44,57,60,2,31,73,66,65,64,63,69,113,109,91,80,79,76,75,72,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,94,101,102,99,30,74])).
% 0.14/0.62 cnf(194,plain,
% 0.14/0.62 (P5(f25(f25(a18,a18),f25(a18,f25(a18,a18))),f5(a17,a17))),
% 0.14/0.62 inference(scs_inference,[],[46,43,44,57,60,2,31,73,66,65,64,63,69,113,109,91,80,79,76,75,72,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,94,101,102,99,30,74,110,82,78,97])).
% 0.14/0.62 cnf(241,plain,
% 0.14/0.62 ($false),
% 0.14/0.62 inference(scs_inference,[],[52,57,179,194,186,125,147,131,81,96,37,71,74,63,80,79,72]),
% 0.14/0.62 ['proof']).
% 0.14/0.62 % SZS output end Proof
% 0.14/0.62 % Total time :0.080000s
%------------------------------------------------------------------------------