TSTP Solution File: SET061-6 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET061-6 : 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 : n008.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 14:28:18 EDT 2023
% Result : Unsatisfiable 0.18s 0.91s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET061-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.16/0.33 % Computer : n008.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.34 % DateTime : Sat Aug 26 15:07:47 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.18/0.55 start to proof:theBenchmark
% 0.18/0.90 %-------------------------------------------
% 0.18/0.90 % File :CSE---1.6
% 0.18/0.90 % Problem :theBenchmark
% 0.18/0.90 % Transform :cnf
% 0.18/0.90 % Format :tptp:raw
% 0.18/0.90 % Command :java -jar mcs_scs.jar %d %s
% 0.18/0.90
% 0.18/0.90 % Result :Theorem 0.290000s
% 0.18/0.90 % Output :CNFRefutation 0.290000s
% 0.18/0.90 %-------------------------------------------
% 0.18/0.91 %--------------------------------------------------------------------------
% 0.18/0.91 % File : SET061-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.18/0.91 % Domain : Set Theory
% 0.18/0.91 % Problem : Existence of the null class
% 0.18/0.91 % Version : [Qua92] axioms.
% 0.18/0.91 % English :
% 0.18/0.91
% 0.18/0.91 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 0.18/0.91 % Source : [Quaife]
% 0.18/0.91 % Names :
% 0.18/0.91
% 0.18/0.91 % Status : Unsatisfiable
% 0.18/0.91 % 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 v6.4.0, 0.33 v6.3.0, 0.18 v6.2.0, 0.30 v6.1.0, 0.21 v6.0.0, 0.20 v5.5.0, 0.50 v5.4.0, 0.45 v5.3.0, 0.44 v5.2.0, 0.38 v5.1.0, 0.24 v5.0.0, 0.21 v4.1.0, 0.31 v4.0.1, 0.36 v3.7.0, 0.20 v3.5.0, 0.27 v3.4.0, 0.17 v3.3.0, 0.21 v3.2.0, 0.15 v3.1.0, 0.09 v2.7.0, 0.17 v2.6.0, 0.00 v2.5.0, 0.18 v2.4.0, 0.12 v2.2.1, 0.00 v2.1.0
% 0.18/0.91 % Syntax : Number of clauses : 92 ( 30 unt; 8 nHn; 63 RR)
% 0.18/0.91 % Number of literals : 182 ( 39 equ; 84 neg)
% 0.18/0.91 % Maximal clause size : 5 ( 1 avg)
% 0.18/0.91 % Maximal term depth : 6 ( 1 avg)
% 0.18/0.91 % Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% 0.18/0.91 % Number of functors : 39 ( 39 usr; 9 con; 0-3 aty)
% 0.18/0.91 % Number of variables : 176 ( 25 sgn)
% 0.18/0.91 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.18/0.91
% 0.18/0.91 % Comments :
% 0.18/0.91 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 0.18/0.91 %--------------------------------------------------------------------------
% 0.18/0.91 %----Include von Neuman-Bernays-Godel set theory axioms
% 0.18/0.91 include('Axioms/SET004-0.ax').
% 0.18/0.91 %--------------------------------------------------------------------------
% 0.18/0.91 cnf(prove_existence_of_null_class_1,negated_conjecture,
% 0.18/0.91 member(z,null_class) ).
% 0.18/0.91
% 0.18/0.91 %--------------------------------------------------------------------------
% 0.18/0.91 %-------------------------------------------
% 0.18/0.91 % Proof found
% 0.18/0.91 % SZS status Theorem for theBenchmark
% 0.18/0.91 % SZS output start Proof
% 0.18/0.91 %ClaNum:119(EqnAxiom:42)
% 0.18/0.91 %VarNum:718(SingletonVarNum:150)
% 0.18/0.91 %MaxLitNum:5
% 0.18/0.91 %MaxfuncDepth:24
% 0.18/0.91 %SharedTerms:31
% 0.18/0.91 %goalClause: 46
% 0.18/0.91 %singleGoalClaCount:1
% 0.18/0.91 [43]P1(a1)
% 0.18/0.91 [44]P2(a2)
% 0.18/0.91 [45]P5(a1,a17)
% 0.18/0.91 [46]P5(a23,a4)
% 0.18/0.91 [48]P6(a5,f6(a17,a17))
% 0.18/0.91 [49]P6(a18,f6(a17,a17))
% 0.18/0.91 [55]E(f10(f9(f11(f6(a21,a17))),a21),a13)
% 0.18/0.91 [56]E(f10(f6(a17,a17),f10(f6(a17,a17),f8(f7(f8(a5),f9(f11(f6(a5,a17))))))),a21)
% 0.18/0.91 [47]P6(x471,a17)
% 0.18/0.91 [53]P6(f19(x531),f6(f6(a17,a17),a17))
% 0.18/0.91 [54]P6(f11(x541),f6(f6(a17,a17),a17))
% 0.18/0.91 [57]E(f10(f9(x571),f8(f9(f10(f7(f9(f11(f6(a5,a17))),x571),a13)))),f3(x571))
% 0.18/0.91 [50]P5(f24(x501,x502),a17)
% 0.18/0.91 [51]P6(f7(x511,x512),f6(a17,a17))
% 0.18/0.91 [52]E(f10(f6(x521,x522),x523),f10(x523,f6(x521,x522)))
% 0.18/0.91 [58]~P7(x581)+P2(x581)
% 0.18/0.91 [59]~P8(x591)+P2(x591)
% 0.18/0.91 [62]~P1(x621)+P6(a1,x621)
% 0.18/0.91 [63]~P1(x631)+P5(a4,x631)
% 0.18/0.91 [65]P5(f20(x651),x651)+E(x651,a4)
% 0.18/0.91 [66]~P2(x661)+P6(x661,f6(a17,a17))
% 0.18/0.91 [64]E(x641,a4)+E(f10(x641,f20(x641)),a4)
% 0.18/0.91 [74]~P8(x741)+E(f6(f9(f9(x741)),f9(f9(x741))),f9(x741))
% 0.18/0.91 [84]~P7(x841)+P2(f9(f11(f6(x841,a17))))
% 0.18/0.91 [88]~P5(x881,a17)+P5(f9(f10(a5,f6(a17,x881))),a17)
% 0.18/0.91 [90]~P9(x901)+P6(f7(x901,f9(f11(f6(x901,a17)))),a13)
% 0.18/0.91 [91]~P2(x911)+P6(f7(x911,f9(f11(f6(x911,a17)))),a13)
% 0.18/0.91 [92]~P8(x921)+P6(f9(f9(f11(f6(x921,a17)))),f9(f9(x921)))
% 0.18/0.91 [97]P9(x971)+~P6(f7(x971,f9(f11(f6(x971,a17)))),a13)
% 0.18/0.91 [106]~P1(x1061)+P6(f9(f9(f11(f6(f10(a18,f6(x1061,a17)),a17)))),x1061)
% 0.18/0.91 [110]~P5(x1101,a17)+P5(f8(f9(f9(f11(f6(f10(a5,f6(f8(x1101),a17)),a17))))),a17)
% 0.18/0.91 [60]~E(x602,x601)+P6(x601,x602)
% 0.18/0.91 [61]~E(x611,x612)+P6(x611,x612)
% 0.18/0.91 [68]P6(x681,x682)+P5(f14(x681,x682),x681)
% 0.18/0.91 [69]~P5(x691,x692)+~P5(x691,f8(x692))
% 0.18/0.91 [72]~P5(x721,a17)+P5(x721,f24(x722,x721))
% 0.18/0.91 [73]~P5(x731,a17)+P5(x731,f24(x731,x732))
% 0.18/0.91 [78]P6(x781,x782)+~P5(f14(x781,x782),x782)
% 0.18/0.91 [87]~P5(x872,f9(x871))+~E(f10(x871,f6(f24(x872,x872),a17)),a4)
% 0.18/0.91 [96]P5(x961,x962)+~P5(f24(f24(x961,x961),f24(x961,f24(x962,x962))),a5)
% 0.18/0.91 [103]~P5(f24(f24(x1031,x1031),f24(x1031,f24(x1032,x1032))),a18)+E(f8(f10(f8(x1031),f8(f24(x1031,x1031)))),x1032)
% 0.18/0.91 [80]P2(x801)+~P3(x801,x802,x803)
% 0.18/0.91 [81]P8(x811)+~P4(x812,x813,x811)
% 0.18/0.91 [82]P8(x821)+~P4(x822,x821,x823)
% 0.18/0.91 [86]~P4(x861,x862,x863)+P3(x861,x862,x863)
% 0.18/0.91 [76]P5(x761,x762)+~P5(x761,f10(x763,x762))
% 0.18/0.91 [77]P5(x771,x772)+~P5(x771,f10(x772,x773))
% 0.18/0.91 [83]~P3(x832,x831,x833)+E(f9(f9(x831)),f9(x832))
% 0.18/0.91 [93]~P5(x931,f6(x932,x933))+E(f24(f24(f12(x931),f12(x931)),f24(f12(x931),f24(f22(x931),f22(x931)))),x931)
% 0.18/0.91 [95]~P3(x951,x953,x952)+P6(f9(f9(f11(f6(x951,a17)))),f9(f9(x952)))
% 0.18/0.91 [98]P5(x981,x982)+~P5(f24(f24(x983,x983),f24(x983,f24(x981,x981))),f6(x984,x982))
% 0.18/0.91 [99]P5(x991,x992)+~P5(f24(f24(x991,x991),f24(x991,f24(x993,x993))),f6(x992,x994))
% 0.18/0.91 [111]~P5(f24(f24(f24(f24(x1113,x1113),f24(x1113,f24(x1111,x1111))),f24(f24(x1113,x1113),f24(x1113,f24(x1111,x1111)))),f24(f24(f24(x1113,x1113),f24(x1113,f24(x1111,x1111))),f24(x1112,x1112))),f19(x1114))+P5(f24(f24(f24(f24(x1111,x1111),f24(x1111,f24(x1112,x1112))),f24(f24(x1111,x1111),f24(x1111,f24(x1112,x1112)))),f24(f24(f24(x1111,x1111),f24(x1111,f24(x1112,x1112))),f24(x1113,x1113))),x1114)
% 0.18/0.91 [112]~P5(f24(f24(f24(f24(x1122,x1122),f24(x1122,f24(x1121,x1121))),f24(f24(x1122,x1122),f24(x1122,f24(x1121,x1121)))),f24(f24(f24(x1122,x1122),f24(x1122,f24(x1121,x1121))),f24(x1123,x1123))),f11(x1124))+P5(f24(f24(f24(f24(x1121,x1121),f24(x1121,f24(x1122,x1122))),f24(f24(x1121,x1121),f24(x1121,f24(x1122,x1122)))),f24(f24(f24(x1121,x1121),f24(x1121,f24(x1122,x1122))),f24(x1123,x1123))),x1124)
% 0.18/0.91 [116]~P5(f24(f24(x1164,x1164),f24(x1164,f24(x1161,x1161))),f7(x1162,x1163))+P5(x1161,f9(f9(f11(f6(f10(x1162,f6(f9(f9(f11(f6(f10(x1163,f6(f24(x1164,x1164),a17)),a17)))),a17)),a17)))))
% 0.18/0.91 [89]~P2(x891)+P7(x891)+~P2(f9(f11(f6(x891,a17))))
% 0.18/0.91 [100]P2(x1001)+~P6(x1001,f6(a17,a17))+~P6(f7(x1001,f9(f11(f6(x1001,a17)))),a13)
% 0.18/0.91 [108]P1(x1081)+~P5(a4,x1081)+~P6(f9(f9(f11(f6(f10(a18,f6(x1081,a17)),a17)))),x1081)
% 0.18/0.91 [115]~P5(x1151,a17)+E(x1151,a4)+P5(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(a2,f6(f24(x1151,x1151),a17)),a17))))))),x1151)
% 0.18/0.91 [67]~P6(x672,x671)+~P6(x671,x672)+E(x671,x672)
% 0.18/0.91 [70]P5(x701,x702)+P5(x701,f8(x702))+~P5(x701,a17)
% 0.18/0.91 [85]P5(x852,f9(x851))+~P5(x852,a17)+E(f10(x851,f6(f24(x852,x852),a17)),a4)
% 0.18/0.91 [104]~P5(x1041,x1042)+~P5(f24(f24(x1041,x1041),f24(x1041,f24(x1042,x1042))),f6(a17,a17))+P5(f24(f24(x1041,x1041),f24(x1041,f24(x1042,x1042))),a5)
% 0.18/0.91 [105]~P5(f24(f24(x1051,x1051),f24(x1051,f24(x1052,x1052))),f6(a17,a17))+~E(f8(f10(f8(x1051),f8(f24(x1051,x1051)))),x1052)+P5(f24(f24(x1051,x1051),f24(x1051,f24(x1052,x1052))),a18)
% 0.18/0.91 [107]~P2(x1071)+~P5(x1072,a17)+P5(f9(f9(f11(f6(f10(x1071,f6(x1072,a17)),a17)))),a17)
% 0.18/0.91 [71]~P5(x711,x713)+P5(x711,x712)+~P6(x713,x712)
% 0.18/0.91 [75]E(x751,x752)+E(x751,x753)+~P5(x751,f24(x753,x752))
% 0.18/0.91 [79]~P5(x791,x793)+~P5(x791,x792)+P5(x791,f10(x792,x793))
% 0.18/0.91 [94]~P5(x942,x944)+~P5(x941,x943)+P5(f24(f24(x941,x941),f24(x941,f24(x942,x942))),f6(x943,x944))
% 0.18/0.91 [113]~P5(f24(f24(f24(f24(x1132,x1132),f24(x1132,f24(x1133,x1133))),f24(f24(x1132,x1132),f24(x1132,f24(x1133,x1133)))),f24(f24(f24(x1132,x1132),f24(x1132,f24(x1133,x1133))),f24(x1131,x1131))),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))),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))),f6(f6(a17,a17),a17))
% 0.18/0.91 [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))),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))),f11(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))),f6(f6(a17,a17),a17))
% 0.18/0.91 [117]P5(f24(f24(x1171,x1171),f24(x1171,f24(x1172,x1172))),f7(x1173,x1174))+~P5(f24(f24(x1171,x1171),f24(x1171,f24(x1172,x1172))),f6(a17,a17))+~P5(x1172,f9(f9(f11(f6(f10(x1173,f6(f9(f9(f11(f6(f10(x1174,f6(f24(x1171,x1171),a17)),a17)))),a17)),a17)))))
% 0.18/0.91 [118]~P4(x1182,x1185,x1181)+~P5(f24(f24(x1183,x1183),f24(x1183,f24(x1184,x1184))),f9(x1185))+E(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1181,f6(f24(f24(f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1182,f6(f24(x1183,x1183),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1182,f6(f24(x1183,x1183),a17)),a17)))))))),f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1182,f6(f24(x1183,x1183),a17)),a17))))))),f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1182,f6(f24(x1184,x1184),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1182,f6(f24(x1184,x1184),a17)),a17)))))))))),f24(f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1182,f6(f24(x1183,x1183),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1182,f6(f24(x1183,x1183),a17)),a17)))))))),f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1182,f6(f24(x1183,x1183),a17)),a17))))))),f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1182,f6(f24(x1184,x1184),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1182,f6(f24(x1184,x1184),a17)),a17))))))))))),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1182,f6(f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1185,f6(f24(f24(f24(x1183,x1183),f24(x1183,f24(x1184,x1184))),f24(f24(x1183,x1183),f24(x1183,f24(x1184,x1184)))),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1185,f6(f24(f24(f24(x1183,x1183),f24(x1183,f24(x1184,x1184))),f24(f24(x1183,x1183),f24(x1183,f24(x1184,x1184)))),a17)),a17)))))))),a17)),a17))))))))
% 0.18/0.91 [102]~P2(x1021)+P8(x1021)+~E(f6(f9(f9(x1021)),f9(f9(x1021))),f9(x1021))+~P6(f9(f9(f11(f6(x1021,a17)))),f9(f9(x1021)))
% 0.18/0.91 [101]~P2(x1011)+P3(x1011,x1012,x1013)+~E(f9(f9(x1012)),f9(x1011))+~P6(f9(f9(f11(f6(x1011,a17)))),f9(f9(x1013)))
% 0.18/0.91 [109]~P8(x1093)+~P8(x1092)+~P3(x1091,x1092,x1093)+P4(x1091,x1092,x1093)+P5(f24(f24(f15(x1091,x1092,x1093),f15(x1091,x1092,x1093)),f24(f15(x1091,x1092,x1093),f24(f16(x1091,x1092,x1093),f16(x1091,x1092,x1093)))),f9(x1092))
% 0.18/0.91 [119]~P8(x1193)+~P8(x1192)+~P3(x1191,x1192,x1193)+P4(x1191,x1192,x1193)+~E(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1193,f6(f24(f24(f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1191,f6(f24(f15(x1191,x1192,x1193),f15(x1191,x1192,x1193)),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1191,f6(f24(f15(x1191,x1192,x1193),f15(x1191,x1192,x1193)),a17)),a17)))))))),f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1191,f6(f24(f15(x1191,x1192,x1193),f15(x1191,x1192,x1193)),a17)),a17))))))),f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1191,f6(f24(f16(x1191,x1192,x1193),f16(x1191,x1192,x1193)),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1191,f6(f24(f16(x1191,x1192,x1193),f16(x1191,x1192,x1193)),a17)),a17)))))))))),f24(f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1191,f6(f24(f15(x1191,x1192,x1193),f15(x1191,x1192,x1193)),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1191,f6(f24(f15(x1191,x1192,x1193),f15(x1191,x1192,x1193)),a17)),a17)))))))),f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1191,f6(f24(f15(x1191,x1192,x1193),f15(x1191,x1192,x1193)),a17)),a17))))))),f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1191,f6(f24(f16(x1191,x1192,x1193),f16(x1191,x1192,x1193)),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1191,f6(f24(f16(x1191,x1192,x1193),f16(x1191,x1192,x1193)),a17)),a17))))))))))),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1191,f6(f24(f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1192,f6(f24(f24(f24(f15(x1191,x1192,x1193),f15(x1191,x1192,x1193)),f24(f15(x1191,x1192,x1193),f24(f16(x1191,x1192,x1193),f16(x1191,x1192,x1193)))),f24(f24(f15(x1191,x1192,x1193),f15(x1191,x1192,x1193)),f24(f15(x1191,x1192,x1193),f24(f16(x1191,x1192,x1193),f16(x1191,x1192,x1193))))),a17)),a17))))))),f9(f10(a5,f6(a17,f9(f9(f11(f6(f10(x1192,f6(f24(f24(f24(f15(x1191,x1192,x1193),f15(x1191,x1192,x1193)),f24(f15(x1191,x1192,x1193),f24(f16(x1191,x1192,x1193),f16(x1191,x1192,x1193)))),f24(f24(f15(x1191,x1192,x1193),f15(x1191,x1192,x1193)),f24(f15(x1191,x1192,x1193),f24(f16(x1191,x1192,x1193),f16(x1191,x1192,x1193))))),a17)),a17)))))))),a17)),a17))))))))
% 0.18/0.91 %EqnAxiom
% 0.18/0.91 [1]E(x11,x11)
% 0.18/0.91 [2]E(x22,x21)+~E(x21,x22)
% 0.18/0.91 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.18/0.91 [4]~E(x41,x42)+E(f6(x41,x43),f6(x42,x43))
% 0.18/0.91 [5]~E(x51,x52)+E(f6(x53,x51),f6(x53,x52))
% 0.18/0.91 [6]~E(x61,x62)+E(f9(x61),f9(x62))
% 0.18/0.91 [7]~E(x71,x72)+E(f24(x71,x73),f24(x72,x73))
% 0.18/0.91 [8]~E(x81,x82)+E(f24(x83,x81),f24(x83,x82))
% 0.18/0.91 [9]~E(x91,x92)+E(f7(x91,x93),f7(x92,x93))
% 0.18/0.91 [10]~E(x101,x102)+E(f7(x103,x101),f7(x103,x102))
% 0.18/0.92 [11]~E(x111,x112)+E(f10(x111,x113),f10(x112,x113))
% 0.18/0.92 [12]~E(x121,x122)+E(f10(x123,x121),f10(x123,x122))
% 0.18/0.92 [13]~E(x131,x132)+E(f15(x131,x133,x134),f15(x132,x133,x134))
% 0.18/0.92 [14]~E(x141,x142)+E(f15(x143,x141,x144),f15(x143,x142,x144))
% 0.18/0.92 [15]~E(x151,x152)+E(f15(x153,x154,x151),f15(x153,x154,x152))
% 0.18/0.92 [16]~E(x161,x162)+E(f11(x161),f11(x162))
% 0.18/0.92 [17]~E(x171,x172)+E(f16(x171,x173,x174),f16(x172,x173,x174))
% 0.18/0.92 [18]~E(x181,x182)+E(f16(x183,x181,x184),f16(x183,x182,x184))
% 0.18/0.92 [19]~E(x191,x192)+E(f16(x193,x194,x191),f16(x193,x194,x192))
% 0.18/0.92 [20]~E(x201,x202)+E(f8(x201),f8(x202))
% 0.18/0.92 [21]~E(x211,x212)+E(f19(x211),f19(x212))
% 0.18/0.92 [22]~E(x221,x222)+E(f22(x221),f22(x222))
% 0.18/0.92 [23]~E(x231,x232)+E(f14(x231,x233),f14(x232,x233))
% 0.18/0.92 [24]~E(x241,x242)+E(f14(x243,x241),f14(x243,x242))
% 0.18/0.92 [25]~E(x251,x252)+E(f20(x251),f20(x252))
% 0.18/0.92 [26]~E(x261,x262)+E(f12(x261),f12(x262))
% 0.18/0.92 [27]~E(x271,x272)+E(f3(x271),f3(x272))
% 0.18/0.92 [28]~P1(x281)+P1(x282)+~E(x281,x282)
% 0.18/0.92 [29]~P2(x291)+P2(x292)+~E(x291,x292)
% 0.18/0.92 [30]P5(x302,x303)+~E(x301,x302)+~P5(x301,x303)
% 0.18/0.92 [31]P5(x313,x312)+~E(x311,x312)+~P5(x313,x311)
% 0.18/0.92 [32]P3(x322,x323,x324)+~E(x321,x322)+~P3(x321,x323,x324)
% 0.18/0.92 [33]P3(x333,x332,x334)+~E(x331,x332)+~P3(x333,x331,x334)
% 0.18/0.92 [34]P3(x343,x344,x342)+~E(x341,x342)+~P3(x343,x344,x341)
% 0.18/0.92 [35]P6(x352,x353)+~E(x351,x352)+~P6(x351,x353)
% 0.18/0.92 [36]P6(x363,x362)+~E(x361,x362)+~P6(x363,x361)
% 0.18/0.92 [37]~P7(x371)+P7(x372)+~E(x371,x372)
% 0.18/0.92 [38]~P8(x381)+P8(x382)+~E(x381,x382)
% 0.18/0.92 [39]P4(x392,x393,x394)+~E(x391,x392)+~P4(x391,x393,x394)
% 0.18/0.92 [40]P4(x403,x402,x404)+~E(x401,x402)+~P4(x403,x401,x404)
% 0.18/0.92 [41]P4(x413,x414,x412)+~E(x411,x412)+~P4(x413,x414,x411)
% 0.18/0.92 [42]~P9(x421)+P9(x422)+~E(x421,x422)
% 0.18/0.92
% 0.18/0.92 %-------------------------------------------
% 0.18/0.92 cnf(120,plain,
% 0.18/0.92 (E(a13,f10(f9(f11(f6(a21,a17))),a21))),
% 0.18/0.92 inference(scs_inference,[],[55,2])).
% 0.18/0.92 cnf(121,plain,
% 0.18/0.92 (P5(a23,a17)),
% 0.18/0.92 inference(scs_inference,[],[46,47,55,2,71])).
% 0.18/0.92 cnf(128,plain,
% 0.18/0.92 (P6(f10(f9(f11(f6(a21,a17))),a21),a13)),
% 0.18/0.92 inference(scs_inference,[],[46,47,43,55,2,71,63,62,61])).
% 0.18/0.92 cnf(144,plain,
% 0.18/0.92 (~P5(a23,f8(a4))),
% 0.18/0.92 inference(scs_inference,[],[46,47,43,44,45,55,2,71,63,62,61,60,66,110,106,88,73,72,69])).
% 0.18/0.92 cnf(146,plain,
% 0.18/0.92 (E(f3(f10(f9(f11(f6(a21,a17))),a21)),f3(a13))),
% 0.18/0.92 inference(scs_inference,[],[46,47,43,44,45,55,2,71,63,62,61,60,66,110,106,88,73,72,69,27])).
% 0.18/0.92 cnf(154,plain,
% 0.18/0.92 (E(f16(x1541,x1542,f10(f9(f11(f6(a21,a17))),a21)),f16(x1541,x1542,a13))),
% 0.18/0.92 inference(scs_inference,[],[46,47,43,44,45,55,2,71,63,62,61,60,66,110,106,88,73,72,69,27,26,25,24,23,22,21,20,19])).
% 0.18/0.92 cnf(155,plain,
% 0.18/0.92 (E(f16(x1551,f10(f9(f11(f6(a21,a17))),a21),x1552),f16(x1551,a13,x1552))),
% 0.18/0.92 inference(scs_inference,[],[46,47,43,44,45,55,2,71,63,62,61,60,66,110,106,88,73,72,69,27,26,25,24,23,22,21,20,19,18])).
% 0.18/0.92 cnf(170,plain,
% 0.18/0.92 (P6(f7(a2,f9(f11(f6(a2,a17)))),a13)),
% 0.18/0.92 inference(scs_inference,[],[46,47,43,44,45,55,2,71,63,62,61,60,66,110,106,88,73,72,69,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91])).
% 0.18/0.92 cnf(172,plain,
% 0.18/0.92 (~P5(f24(f24(x1721,x1721),f24(x1721,f24(a23,a23))),f6(x1722,f8(a4)))),
% 0.18/0.92 inference(scs_inference,[],[46,47,43,44,45,55,2,71,63,62,61,60,66,110,106,88,73,72,69,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,98])).
% 0.18/0.92 cnf(178,plain,
% 0.18/0.92 (~E(a4,f8(a4))),
% 0.18/0.92 inference(scs_inference,[],[46,47,43,44,45,55,2,71,63,62,61,60,66,110,106,88,73,72,69,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,98,99,96,31])).
% 0.18/0.92 cnf(179,plain,
% 0.18/0.92 (~P5(x1791,f8(a4))+~E(x1791,a23)),
% 0.18/0.92 inference(scs_inference,[],[46,47,43,44,45,55,2,71,63,62,61,60,66,110,106,88,73,72,69,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,98,99,96,31,30])).
% 0.18/0.92 cnf(218,plain,
% 0.18/0.92 (~P5(f24(f24(x2181,x2181),f24(x2181,f24(a23,a23))),f10(f6(x2182,f8(a4)),x2183))),
% 0.18/0.92 inference(scs_inference,[],[172,77])).
% 0.18/0.92 cnf(220,plain,
% 0.18/0.92 (~P5(f24(f24(x2201,x2201),f24(x2201,f24(a23,a23))),f10(x2202,f6(x2203,f8(a4))))),
% 0.18/0.92 inference(scs_inference,[],[172,77,76])).
% 0.18/0.92 cnf(227,plain,
% 0.18/0.92 (~E(f8(a4),a4)),
% 0.18/0.92 inference(scs_inference,[],[46,50,44,55,172,128,178,77,76,35,107,79,2])).
% 0.18/0.92 cnf(232,plain,
% 0.18/0.92 (~P6(a4,f8(a4))),
% 0.18/0.92 inference(scs_inference,[],[46,50,44,55,172,154,155,144,120,128,178,77,76,35,107,79,2,36,3,71])).
% 0.18/0.92 cnf(235,plain,
% 0.18/0.92 (P5(f24(x2351,x2352),a17)),
% 0.18/0.92 inference(rename_variables,[],[50])).
% 0.18/0.92 cnf(237,plain,
% 0.18/0.92 (~P5(a4,f24(f8(a4),f8(a4)))),
% 0.18/0.92 inference(scs_inference,[],[46,50,44,55,172,154,155,144,120,128,178,77,76,35,107,79,2,36,3,71,70,75])).
% 0.18/0.92 cnf(239,plain,
% 0.18/0.92 (P5(f20(f8(a4)),f8(a4))),
% 0.18/0.92 inference(scs_inference,[],[46,50,44,55,172,154,155,144,120,128,178,77,76,35,107,79,2,36,3,71,70,75,65])).
% 0.18/0.92 cnf(242,plain,
% 0.18/0.92 (~P5(f20(f8(a4)),a4)),
% 0.18/0.92 inference(scs_inference,[],[46,50,44,55,172,154,155,144,120,128,178,77,76,35,107,79,2,36,3,71,70,75,65,29,69])).
% 0.18/0.92 cnf(246,plain,
% 0.18/0.92 (~E(a17,f6(x2461,f8(a4)))),
% 0.18/0.92 inference(scs_inference,[],[46,50,235,44,55,172,154,155,144,120,128,178,77,76,35,107,79,2,36,3,71,70,75,65,29,69,63,31])).
% 0.18/0.92 cnf(249,plain,
% 0.18/0.92 (~P5(f14(a4,f8(a4)),f8(a4))),
% 0.18/0.92 inference(scs_inference,[],[46,50,235,44,55,172,154,155,144,120,128,178,77,76,35,107,79,2,36,3,71,70,75,65,29,69,63,31,30,78])).
% 0.18/0.92 cnf(251,plain,
% 0.18/0.92 (P5(f14(a4,f8(a4)),a4)),
% 0.18/0.92 inference(scs_inference,[],[46,50,235,44,55,172,154,155,144,120,128,178,77,76,35,107,79,2,36,3,71,70,75,65,29,69,63,31,30,78,68])).
% 0.18/0.92 cnf(253,plain,
% 0.18/0.92 (E(f10(f8(a4),f20(f8(a4))),a4)),
% 0.18/0.92 inference(scs_inference,[],[46,50,235,44,55,172,154,155,144,120,128,178,77,76,35,107,79,2,36,3,71,70,75,65,29,69,63,31,30,78,68,64])).
% 0.18/0.92 cnf(255,plain,
% 0.18/0.92 (~E(a1,f24(f8(a4),f8(a4)))),
% 0.18/0.92 inference(scs_inference,[],[46,50,235,43,44,55,172,154,155,144,120,128,178,77,76,35,107,79,2,36,3,71,70,75,65,29,69,63,31,30,78,68,64,28])).
% 0.18/0.92 cnf(265,plain,
% 0.18/0.92 (~P5(f24(x2651,x2652),f8(a17))),
% 0.18/0.92 inference(scs_inference,[],[50,239,179,69])).
% 0.18/0.92 cnf(268,plain,
% 0.18/0.92 (P6(x2681,a17)),
% 0.18/0.92 inference(rename_variables,[],[47])).
% 0.18/0.92 cnf(270,plain,
% 0.18/0.92 (~P6(f10(f8(a4),f20(f8(a4))),f8(a4))),
% 0.18/0.92 inference(scs_inference,[],[47,50,232,239,246,253,179,69,67,35])).
% 0.18/0.92 cnf(271,plain,
% 0.18/0.92 (E(f10(x2711,f6(x2712,x2713)),f10(f6(x2712,x2713),x2711))),
% 0.18/0.92 inference(scs_inference,[],[52,47,50,232,239,246,253,179,69,67,35,2])).
% 0.18/0.92 cnf(272,plain,
% 0.18/0.92 (~E(a17,f8(a4))),
% 0.18/0.92 inference(scs_inference,[],[52,47,268,50,232,239,246,253,179,69,67,35,2,36])).
% 0.18/0.92 cnf(274,plain,
% 0.18/0.92 (~P6(a17,f10(f6(x2741,f8(a4)),x2742))),
% 0.18/0.92 inference(scs_inference,[],[52,47,268,50,218,232,239,246,253,179,69,67,35,2,36,71])).
% 0.18/0.92 cnf(278,plain,
% 0.18/0.92 (~P5(f10(f8(a4),f20(f8(a4))),f24(f8(a4),f8(a4)))),
% 0.18/0.92 inference(scs_inference,[],[52,47,268,50,218,237,227,232,239,246,253,179,69,67,35,2,36,71,3,30])).
% 0.18/0.92 cnf(279,plain,
% 0.18/0.92 (~P5(f20(f8(a4)),f10(f8(a4),f20(f8(a4))))),
% 0.18/0.92 inference(scs_inference,[],[52,47,268,50,218,237,227,232,239,246,253,242,179,69,67,35,2,36,71,3,30,31])).
% 0.18/0.92 cnf(299,plain,
% 0.18/0.92 (P6(f3(x2991),f10(f9(x2991),f8(f9(f10(f7(f9(f11(f6(a5,a17))),x2991),a13)))))),
% 0.18/0.92 inference(scs_inference,[],[57,61,60])).
% 0.18/0.92 cnf(306,plain,
% 0.18/0.92 (P6(f3(x3061),f3(x3061))),
% 0.18/0.92 inference(scs_inference,[],[57,47,50,272,61,60,67,79,36])).
% 0.18/0.92 cnf(311,plain,
% 0.18/0.92 (~E(a17,f8(a17))),
% 0.18/0.92 inference(scs_inference,[],[57,47,50,265,255,146,272,249,239,61,60,67,79,36,2,3,30,31])).
% 0.18/0.92 cnf(319,plain,
% 0.18/0.92 (~E(f10(f6(x3191,f8(a4)),x3192),a17)),
% 0.18/0.92 inference(scs_inference,[],[274,61,60])).
% 0.18/0.92 cnf(323,plain,
% 0.18/0.92 (~P6(f8(a4),f10(f8(a4),f20(f8(a4))))),
% 0.18/0.92 inference(scs_inference,[],[121,279,274,239,61,60,79,71])).
% 0.18/0.92 cnf(331,plain,
% 0.18/0.92 (~E(a17,f10(x3311,f6(x3312,f8(a4))))),
% 0.18/0.92 inference(scs_inference,[],[121,56,50,306,251,279,274,271,220,242,146,239,61,60,79,71,2,36,3,30,31])).
% 0.18/0.92 cnf(347,plain,
% 0.18/0.92 (E(f3(a13),f3(f10(f9(f11(f6(a21,a17))),a21)))),
% 0.18/0.92 inference(scs_inference,[],[121,120,56,50,306,251,278,279,274,271,220,242,146,239,61,60,79,71,2,36,3,30,31,110,88,73,96,98,99,72,27])).
% 0.18/0.92 cnf(351,plain,
% 0.18/0.92 (P9(a2)),
% 0.18/0.92 inference(scs_inference,[],[121,120,56,50,306,251,278,279,274,271,220,170,242,146,239,61,60,79,71,2,36,3,30,31,110,88,73,96,98,99,72,27,26,25,22,97])).
% 0.18/0.92 cnf(390,plain,
% 0.18/0.92 (P6(x3901,a17)),
% 0.18/0.92 inference(rename_variables,[],[47])).
% 0.18/0.92 cnf(399,plain,
% 0.18/0.92 (P5(f14(f10(f8(a4),f20(f8(a4))),f8(a4)),f10(f8(a4),f20(f8(a4))))),
% 0.18/0.92 inference(scs_inference,[],[52,47,390,299,347,270,323,319,331,311,351,61,60,35,67,36,3,2,42,68])).
% 0.18/0.92 cnf(401,plain,
% 0.18/0.92 (~P5(f14(f10(f8(a4),f20(f8(a4))),f8(a4)),f8(a4))),
% 0.18/0.92 inference(scs_inference,[],[52,47,390,299,347,270,323,319,331,311,351,61,60,35,67,36,3,2,42,68,78])).
% 0.18/0.92 cnf(432,plain,
% 0.18/0.92 ($false),
% 0.18/0.92 inference(scs_inference,[],[45,399,401,44,107,77]),
% 0.18/0.92 ['proof']).
% 0.18/0.92 % SZS output end Proof
% 0.18/0.92 % Total time :0.290000s
%------------------------------------------------------------------------------