%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SET065-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n022.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 : Mon Jun 24 14:20:27 EDT 2024
% Result : Unsatisfiable 3.79s 3.92s
% Output : CNFRefutation 3.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : SET065-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.13/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n022.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 : Sun Jun 23 16:03:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.53/0.57 start to proof:theBenchmark
% 3.79/3.91 %-------------------------------------------
% 3.79/3.91 % File :CSE---1.7
% 3.79/3.91 % Problem :theBenchmark
% 3.79/3.91 % Transform :cnf
% 3.79/3.91 % Format :tptp:raw
% 3.79/3.91 % Command :java -jar mcs_scs.jar %d %s
% 3.79/3.91
% 3.79/3.91 % Result :Theorem 3.290000s
% 3.79/3.91 % Output :CNFRefutation 3.290000s
% 3.79/3.91 %-------------------------------------------
% 3.79/3.91 %--------------------------------------------------------------------------
% 3.79/3.91 % File : SET065-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 3.79/3.91 % Domain : Set Theory
% 3.79/3.92 % Problem : The null class is a set
% 3.79/3.92 % Version : [Qua92] axioms.
% 3.79/3.92 % English :
% 3.79/3.92
% 3.79/3.92 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 3.79/3.92 % Source : [Quaife]
% 3.79/3.92 % Names :
% 3.79/3.92
% 3.79/3.92 % Status : Unsatisfiable
% 3.79/3.92 % Rating : 0.05 v7.4.0, 0.12 v7.3.0, 0.08 v7.0.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.00 v5.5.0, 0.15 v5.3.0, 0.11 v5.2.0, 0.12 v5.0.0, 0.07 v4.1.0, 0.08 v4.0.1, 0.27 v3.7.0, 0.30 v3.5.0, 0.27 v3.4.0, 0.17 v3.3.0, 0.14 v3.2.0, 0.00 v2.1.0
% 3.79/3.92 % Syntax : Number of clauses : 92 ( 30 unt; 8 nHn; 63 RR)
% 3.79/3.92 % Number of literals : 182 ( 39 equ; 85 neg)
% 3.79/3.92 % Maximal clause size : 5 ( 1 avg)
% 3.79/3.92 % Maximal term depth : 6 ( 1 avg)
% 3.79/3.92 % Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% 3.79/3.92 % Number of functors : 38 ( 38 usr; 8 con; 0-3 aty)
% 3.79/3.92 % Number of variables : 176 ( 25 sgn)
% 3.79/3.92 % SPC : CNF_UNS_RFO_SEQ_NHN
% 3.79/3.92
% 3.79/3.92 % Comments :
% 3.79/3.92 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 3.79/3.92 %--------------------------------------------------------------------------
% 3.79/3.92 %----Include von Neuman-Bernays-Godel set theory axioms
% 3.79/3.92 include('Axioms/SET004-0.ax').
% 3.79/3.92 %--------------------------------------------------------------------------
% 3.79/3.92 cnf(prove_null_class_is_a_set_1,negated_conjecture,
% 3.79/3.92 ~ member(null_class,universal_class) ).
% 3.79/3.92
% 3.79/3.92 %--------------------------------------------------------------------------
% 3.79/3.92 %-------------------------------------------
% 3.79/3.92 % Proof found
% 3.79/3.92 % SZS status Theorem for theBenchmark
% 3.79/3.92 % SZS output start Proof
% 3.79/3.92 %ClaNum:119(EqnAxiom:42)
% 3.79/3.92 %VarNum:718(SingletonVarNum:150)
% 3.79/3.92 %MaxLitNum:5
% 3.79/3.92 %MaxfuncDepth:24
% 3.79/3.92 %SharedTerms:30
% 3.79/3.92 %goalClause: 57
% 3.79/3.92 %singleGoalClaCount:1
% 3.79/3.92 [43]P1(a1)
% 3.79/3.92 [44]P2(a2)
% 3.79/3.92 [45]P5(a1,a17)
% 3.79/3.92 [57]~P5(a13,a17)
% 3.79/3.92 [47]P6(a4,f5(a17,a17))
% 3.79/3.92 [48]P6(a18,f5(a17,a17))
% 3.79/3.92 [54]E(f9(f8(f10(f5(a21,a17))),a21),a12)
% 3.79/3.92 [55]E(f9(f5(a17,a17),f9(f5(a17,a17),f7(f6(f7(a4),f8(f10(f5(a4,a17))))))),a21)
% 3.79/3.92 [46]P6(x461,a17)
% 3.79/3.92 [52]P6(f19(x521),f5(f5(a17,a17),a17))
% 3.79/3.92 [53]P6(f10(x531),f5(f5(a17,a17),a17))
% 3.79/3.92 [56]E(f9(f8(x561),f7(f8(f9(f6(f8(f10(f5(a4,a17))),x561),a12)))),f3(x561))
% 3.79/3.92 [49]P5(f23(x491,x492),a17)
% 3.79/3.92 [50]P6(f6(x501,x502),f5(a17,a17))
% 3.79/3.92 [51]E(f9(f5(x511,x512),x513),f9(x513,f5(x511,x512)))
% 3.79/3.92 [58]~P7(x581)+P2(x581)
% 3.79/3.92 [59]~P8(x591)+P2(x591)
% 3.79/3.92 [62]~P1(x621)+P6(a1,x621)
% 3.79/3.92 [63]~P1(x631)+P5(a13,x631)
% 3.79/3.92 [65]P5(f20(x651),x651)+E(x651,a13)
% 3.79/3.92 [66]~P2(x661)+P6(x661,f5(a17,a17))
% 3.79/3.92 [64]E(x641,a13)+E(f9(x641,f20(x641)),a13)
% 3.79/3.92 [74]~P8(x741)+E(f5(f8(f8(x741)),f8(f8(x741))),f8(x741))
% 3.79/3.92 [84]~P7(x841)+P2(f8(f10(f5(x841,a17))))
% 3.79/3.92 [88]~P5(x881,a17)+P5(f8(f9(a4,f5(a17,x881))),a17)
% 3.79/3.92 [90]~P9(x901)+P6(f6(x901,f8(f10(f5(x901,a17)))),a12)
% 3.79/3.92 [91]~P2(x911)+P6(f6(x911,f8(f10(f5(x911,a17)))),a12)
% 3.79/3.92 [92]~P8(x921)+P6(f8(f8(f10(f5(x921,a17)))),f8(f8(x921)))
% 3.79/3.92 [97]P9(x971)+~P6(f6(x971,f8(f10(f5(x971,a17)))),a12)
% 3.79/3.92 [106]~P1(x1061)+P6(f8(f8(f10(f5(f9(a18,f5(x1061,a17)),a17)))),x1061)
% 3.79/3.92 [110]~P5(x1101,a17)+P5(f7(f8(f8(f10(f5(f9(a4,f5(f7(x1101),a17)),a17))))),a17)
% 3.79/3.92 [60]~E(x602,x601)+P6(x601,x602)
% 3.79/3.92 [61]~E(x611,x612)+P6(x611,x612)
% 3.79/3.92 [68]P6(x681,x682)+P5(f14(x681,x682),x681)
% 3.79/3.92 [69]~P5(x691,x692)+~P5(x691,f7(x692))
% 3.79/3.92 [72]~P5(x721,a17)+P5(x721,f23(x722,x721))
% 3.79/3.92 [73]~P5(x731,a17)+P5(x731,f23(x731,x732))
% 3.79/3.92 [78]P6(x781,x782)+~P5(f14(x781,x782),x782)
% 3.79/3.92 [87]~P5(x872,f8(x871))+~E(f9(x871,f5(f23(x872,x872),a17)),a13)
% 3.79/3.92 [96]P5(x961,x962)+~P5(f23(f23(x961,x961),f23(x961,f23(x962,x962))),a4)
% 3.79/3.92 [103]~P5(f23(f23(x1031,x1031),f23(x1031,f23(x1032,x1032))),a18)+E(f7(f9(f7(x1031),f7(f23(x1031,x1031)))),x1032)
% 3.79/3.92 [80]P2(x801)+~P3(x801,x802,x803)
% 3.79/3.92 [81]P8(x811)+~P4(x812,x813,x811)
% 3.79/3.92 [82]P8(x821)+~P4(x822,x821,x823)
% 3.79/3.92 [86]~P4(x861,x862,x863)+P3(x861,x862,x863)
% 3.79/3.92 [76]P5(x761,x762)+~P5(x761,f9(x763,x762))
% 3.79/3.92 [77]P5(x771,x772)+~P5(x771,f9(x772,x773))
% 3.79/3.92 [83]~P3(x832,x831,x833)+E(f8(f8(x831)),f8(x832))
% 3.79/3.92 [93]~P5(x931,f5(x932,x933))+E(f23(f23(f11(x931),f11(x931)),f23(f11(x931),f23(f22(x931),f22(x931)))),x931)
% 3.79/3.92 [95]~P3(x951,x953,x952)+P6(f8(f8(f10(f5(x951,a17)))),f8(f8(x952)))
% 3.79/3.92 [98]P5(x981,x982)+~P5(f23(f23(x983,x983),f23(x983,f23(x981,x981))),f5(x984,x982))
% 3.79/3.92 [99]P5(x991,x992)+~P5(f23(f23(x991,x991),f23(x991,f23(x993,x993))),f5(x992,x994))
% 3.79/3.92 [111]~P5(f23(f23(f23(f23(x1113,x1113),f23(x1113,f23(x1111,x1111))),f23(f23(x1113,x1113),f23(x1113,f23(x1111,x1111)))),f23(f23(f23(x1113,x1113),f23(x1113,f23(x1111,x1111))),f23(x1112,x1112))),f19(x1114))+P5(f23(f23(f23(f23(x1111,x1111),f23(x1111,f23(x1112,x1112))),f23(f23(x1111,x1111),f23(x1111,f23(x1112,x1112)))),f23(f23(f23(x1111,x1111),f23(x1111,f23(x1112,x1112))),f23(x1113,x1113))),x1114)
% 3.79/3.92 [112]~P5(f23(f23(f23(f23(x1122,x1122),f23(x1122,f23(x1121,x1121))),f23(f23(x1122,x1122),f23(x1122,f23(x1121,x1121)))),f23(f23(f23(x1122,x1122),f23(x1122,f23(x1121,x1121))),f23(x1123,x1123))),f10(x1124))+P5(f23(f23(f23(f23(x1121,x1121),f23(x1121,f23(x1122,x1122))),f23(f23(x1121,x1121),f23(x1121,f23(x1122,x1122)))),f23(f23(f23(x1121,x1121),f23(x1121,f23(x1122,x1122))),f23(x1123,x1123))),x1124)
% 3.79/3.92 [116]~P5(f23(f23(x1164,x1164),f23(x1164,f23(x1161,x1161))),f6(x1162,x1163))+P5(x1161,f8(f8(f10(f5(f9(x1162,f5(f8(f8(f10(f5(f9(x1163,f5(f23(x1164,x1164),a17)),a17)))),a17)),a17)))))
% 3.79/3.92 [89]~P2(x891)+P7(x891)+~P2(f8(f10(f5(x891,a17))))
% 3.79/3.92 [100]P2(x1001)+~P6(x1001,f5(a17,a17))+~P6(f6(x1001,f8(f10(f5(x1001,a17)))),a12)
% 3.79/3.92 [108]P1(x1081)+~P5(a13,x1081)+~P6(f8(f8(f10(f5(f9(a18,f5(x1081,a17)),a17)))),x1081)
% 3.79/3.92 [115]~P5(x1151,a17)+E(x1151,a13)+P5(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(a2,f5(f23(x1151,x1151),a17)),a17))))))),x1151)
% 3.79/3.92 [67]~P6(x672,x671)+~P6(x671,x672)+E(x671,x672)
% 3.79/3.92 [70]P5(x701,x702)+P5(x701,f7(x702))+~P5(x701,a17)
% 3.79/3.92 [85]P5(x852,f8(x851))+~P5(x852,a17)+E(f9(x851,f5(f23(x852,x852),a17)),a13)
% 3.79/3.92 [104]~P5(x1041,x1042)+~P5(f23(f23(x1041,x1041),f23(x1041,f23(x1042,x1042))),f5(a17,a17))+P5(f23(f23(x1041,x1041),f23(x1041,f23(x1042,x1042))),a4)
% 3.79/3.92 [105]~P5(f23(f23(x1051,x1051),f23(x1051,f23(x1052,x1052))),f5(a17,a17))+~E(f7(f9(f7(x1051),f7(f23(x1051,x1051)))),x1052)+P5(f23(f23(x1051,x1051),f23(x1051,f23(x1052,x1052))),a18)
% 3.79/3.92 [107]~P2(x1071)+~P5(x1072,a17)+P5(f8(f8(f10(f5(f9(x1071,f5(x1072,a17)),a17)))),a17)
% 3.79/3.92 [71]~P5(x711,x713)+P5(x711,x712)+~P6(x713,x712)
% 3.79/3.92 [75]E(x751,x752)+E(x751,x753)+~P5(x751,f23(x753,x752))
% 3.79/3.92 [79]~P5(x791,x793)+~P5(x791,x792)+P5(x791,f9(x792,x793))
% 3.79/3.92 [94]~P5(x942,x944)+~P5(x941,x943)+P5(f23(f23(x941,x941),f23(x941,f23(x942,x942))),f5(x943,x944))
% 3.79/3.92 [113]~P5(f23(f23(f23(f23(x1132,x1132),f23(x1132,f23(x1133,x1133))),f23(f23(x1132,x1132),f23(x1132,f23(x1133,x1133)))),f23(f23(f23(x1132,x1132),f23(x1132,f23(x1133,x1133))),f23(x1131,x1131))),x1134)+P5(f23(f23(f23(f23(x1131,x1131),f23(x1131,f23(x1132,x1132))),f23(f23(x1131,x1131),f23(x1131,f23(x1132,x1132)))),f23(f23(f23(x1131,x1131),f23(x1131,f23(x1132,x1132))),f23(x1133,x1133))),f19(x1134))+~P5(f23(f23(f23(f23(x1131,x1131),f23(x1131,f23(x1132,x1132))),f23(f23(x1131,x1131),f23(x1131,f23(x1132,x1132)))),f23(f23(f23(x1131,x1131),f23(x1131,f23(x1132,x1132))),f23(x1133,x1133))),f5(f5(a17,a17),a17))
% 3.79/3.92 [114]~P5(f23(f23(f23(f23(x1142,x1142),f23(x1142,f23(x1141,x1141))),f23(f23(x1142,x1142),f23(x1142,f23(x1141,x1141)))),f23(f23(f23(x1142,x1142),f23(x1142,f23(x1141,x1141))),f23(x1143,x1143))),x1144)+P5(f23(f23(f23(f23(x1141,x1141),f23(x1141,f23(x1142,x1142))),f23(f23(x1141,x1141),f23(x1141,f23(x1142,x1142)))),f23(f23(f23(x1141,x1141),f23(x1141,f23(x1142,x1142))),f23(x1143,x1143))),f10(x1144))+~P5(f23(f23(f23(f23(x1141,x1141),f23(x1141,f23(x1142,x1142))),f23(f23(x1141,x1141),f23(x1141,f23(x1142,x1142)))),f23(f23(f23(x1141,x1141),f23(x1141,f23(x1142,x1142))),f23(x1143,x1143))),f5(f5(a17,a17),a17))
% 3.79/3.92 [117]P5(f23(f23(x1171,x1171),f23(x1171,f23(x1172,x1172))),f6(x1173,x1174))+~P5(f23(f23(x1171,x1171),f23(x1171,f23(x1172,x1172))),f5(a17,a17))+~P5(x1172,f8(f8(f10(f5(f9(x1173,f5(f8(f8(f10(f5(f9(x1174,f5(f23(x1171,x1171),a17)),a17)))),a17)),a17)))))
% 3.79/3.92 [118]~P4(x1182,x1185,x1181)+~P5(f23(f23(x1183,x1183),f23(x1183,f23(x1184,x1184))),f8(x1185))+E(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1181,f5(f23(f23(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1182,f5(f23(x1183,x1183),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1182,f5(f23(x1183,x1183),a17)),a17)))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1182,f5(f23(x1183,x1183),a17)),a17))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1182,f5(f23(x1184,x1184),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1182,f5(f23(x1184,x1184),a17)),a17)))))))))),f23(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1182,f5(f23(x1183,x1183),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1182,f5(f23(x1183,x1183),a17)),a17)))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1182,f5(f23(x1183,x1183),a17)),a17))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1182,f5(f23(x1184,x1184),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1182,f5(f23(x1184,x1184),a17)),a17))))))))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1182,f5(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1185,f5(f23(f23(f23(x1183,x1183),f23(x1183,f23(x1184,x1184))),f23(f23(x1183,x1183),f23(x1183,f23(x1184,x1184)))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1185,f5(f23(f23(f23(x1183,x1183),f23(x1183,f23(x1184,x1184))),f23(f23(x1183,x1183),f23(x1183,f23(x1184,x1184)))),a17)),a17)))))))),a17)),a17))))))))
% 3.79/3.92 [102]~P2(x1021)+P8(x1021)+~E(f5(f8(f8(x1021)),f8(f8(x1021))),f8(x1021))+~P6(f8(f8(f10(f5(x1021,a17)))),f8(f8(x1021)))
% 3.79/3.92 [101]~P2(x1011)+P3(x1011,x1012,x1013)+~E(f8(f8(x1012)),f8(x1011))+~P6(f8(f8(f10(f5(x1011,a17)))),f8(f8(x1013)))
% 3.79/3.92 [109]~P8(x1093)+~P8(x1092)+~P3(x1091,x1092,x1093)+P4(x1091,x1092,x1093)+P5(f23(f23(f15(x1091,x1092,x1093),f15(x1091,x1092,x1093)),f23(f15(x1091,x1092,x1093),f23(f16(x1091,x1092,x1093),f16(x1091,x1092,x1093)))),f8(x1092))
% 3.88/3.92 [119]~P8(x1193)+~P8(x1192)+~P3(x1191,x1192,x1193)+P4(x1191,x1192,x1193)+~E(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1193,f5(f23(f23(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1191,f5(f23(f15(x1191,x1192,x1193),f15(x1191,x1192,x1193)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1191,f5(f23(f15(x1191,x1192,x1193),f15(x1191,x1192,x1193)),a17)),a17)))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1191,f5(f23(f15(x1191,x1192,x1193),f15(x1191,x1192,x1193)),a17)),a17))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1191,f5(f23(f16(x1191,x1192,x1193),f16(x1191,x1192,x1193)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1191,f5(f23(f16(x1191,x1192,x1193),f16(x1191,x1192,x1193)),a17)),a17)))))))))),f23(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1191,f5(f23(f15(x1191,x1192,x1193),f15(x1191,x1192,x1193)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1191,f5(f23(f15(x1191,x1192,x1193),f15(x1191,x1192,x1193)),a17)),a17)))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1191,f5(f23(f15(x1191,x1192,x1193),f15(x1191,x1192,x1193)),a17)),a17))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1191,f5(f23(f16(x1191,x1192,x1193),f16(x1191,x1192,x1193)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1191,f5(f23(f16(x1191,x1192,x1193),f16(x1191,x1192,x1193)),a17)),a17))))))))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1191,f5(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f23(f23(f23(f15(x1191,x1192,x1193),f15(x1191,x1192,x1193)),f23(f15(x1191,x1192,x1193),f23(f16(x1191,x1192,x1193),f16(x1191,x1192,x1193)))),f23(f23(f15(x1191,x1192,x1193),f15(x1191,x1192,x1193)),f23(f15(x1191,x1192,x1193),f23(f16(x1191,x1192,x1193),f16(x1191,x1192,x1193))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f23(f23(f23(f15(x1191,x1192,x1193),f15(x1191,x1192,x1193)),f23(f15(x1191,x1192,x1193),f23(f16(x1191,x1192,x1193),f16(x1191,x1192,x1193)))),f23(f23(f15(x1191,x1192,x1193),f15(x1191,x1192,x1193)),f23(f15(x1191,x1192,x1193),f23(f16(x1191,x1192,x1193),f16(x1191,x1192,x1193))))),a17)),a17)))))))),a17)),a17))))))))
% 3.88/3.92 %EqnAxiom
% 3.88/3.92 [1]E(x11,x11)
% 3.88/3.92 [2]E(x22,x21)+~E(x21,x22)
% 3.88/3.92 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 3.88/3.92 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 3.88/3.92 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 3.88/3.92 [6]~E(x61,x62)+E(f8(x61),f8(x62))
% 3.88/3.92 [7]~E(x71,x72)+E(f23(x71,x73),f23(x72,x73))
% 3.88/3.92 [8]~E(x81,x82)+E(f23(x83,x81),f23(x83,x82))
% 3.88/3.92 [9]~E(x91,x92)+E(f6(x91,x93),f6(x92,x93))
% 3.88/3.92 [10]~E(x101,x102)+E(f6(x103,x101),f6(x103,x102))
% 3.88/3.92 [11]~E(x111,x112)+E(f9(x111,x113),f9(x112,x113))
% 3.88/3.92 [12]~E(x121,x122)+E(f9(x123,x121),f9(x123,x122))
% 3.88/3.92 [13]~E(x131,x132)+E(f15(x131,x133,x134),f15(x132,x133,x134))
% 3.88/3.92 [14]~E(x141,x142)+E(f15(x143,x141,x144),f15(x143,x142,x144))
% 3.88/3.92 [15]~E(x151,x152)+E(f15(x153,x154,x151),f15(x153,x154,x152))
% 3.88/3.92 [16]~E(x161,x162)+E(f10(x161),f10(x162))
% 3.88/3.92 [17]~E(x171,x172)+E(f16(x171,x173,x174),f16(x172,x173,x174))
% 3.88/3.92 [18]~E(x181,x182)+E(f16(x183,x181,x184),f16(x183,x182,x184))
% 3.88/3.92 [19]~E(x191,x192)+E(f16(x193,x194,x191),f16(x193,x194,x192))
% 3.88/3.92 [20]~E(x201,x202)+E(f7(x201),f7(x202))
% 3.88/3.92 [21]~E(x211,x212)+E(f19(x211),f19(x212))
% 3.88/3.92 [22]~E(x221,x222)+E(f22(x221),f22(x222))
% 3.88/3.92 [23]~E(x231,x232)+E(f14(x231,x233),f14(x232,x233))
% 3.88/3.92 [24]~E(x241,x242)+E(f14(x243,x241),f14(x243,x242))
% 3.88/3.92 [25]~E(x251,x252)+E(f20(x251),f20(x252))
% 3.88/3.92 [26]~E(x261,x262)+E(f11(x261),f11(x262))
% 3.88/3.92 [27]~E(x271,x272)+E(f3(x271),f3(x272))
% 3.88/3.92 [28]~P1(x281)+P1(x282)+~E(x281,x282)
% 3.88/3.92 [29]~P2(x291)+P2(x292)+~E(x291,x292)
% 3.88/3.93 [30]P5(x302,x303)+~E(x301,x302)+~P5(x301,x303)
% 3.88/3.93 [31]P5(x313,x312)+~E(x311,x312)+~P5(x313,x311)
% 3.88/3.93 [32]P6(x322,x323)+~E(x321,x322)+~P6(x321,x323)
% 3.88/3.93 [33]P6(x333,x332)+~E(x331,x332)+~P6(x333,x331)
% 3.88/3.93 [34]P4(x342,x343,x344)+~E(x341,x342)+~P4(x341,x343,x344)
% 3.88/3.93 [35]P4(x353,x352,x354)+~E(x351,x352)+~P4(x353,x351,x354)
% 3.88/3.93 [36]P4(x363,x364,x362)+~E(x361,x362)+~P4(x363,x364,x361)
% 3.88/3.93 [37]~P8(x371)+P8(x372)+~E(x371,x372)
% 3.88/3.93 [38]P3(x382,x383,x384)+~E(x381,x382)+~P3(x381,x383,x384)
% 3.88/3.93 [39]P3(x393,x392,x394)+~E(x391,x392)+~P3(x393,x391,x394)
% 3.88/3.93 [40]P3(x403,x404,x402)+~E(x401,x402)+~P3(x403,x404,x401)
% 3.88/3.93 [41]~P7(x411)+P7(x412)+~E(x411,x412)
% 3.88/3.93 [42]~P9(x421)+P9(x422)+~E(x421,x422)
% 3.88/3.93
% 3.88/3.93 %-------------------------------------------
% 3.88/3.93 cnf(120,plain,
% 3.88/3.93 (P6(x1201,x1201)),
% 3.88/3.93 inference(equality_inference,[],[60])).
% 3.88/3.93 cnf(126,plain,
% 3.88/3.93 (E(f9(x1261,f5(x1262,x1263)),f9(f5(x1262,x1263),x1261))),
% 3.88/3.93 inference(scs_inference,[],[57,51,63,2])).
% 3.88/3.93 cnf(128,plain,
% 3.88/3.93 (E(f9(f9(f5(a17,a17),f7(f6(f7(a4),f8(f10(f5(a4,a17)))))),f5(a17,a17)),a21)),
% 3.88/3.93 inference(scs_inference,[],[57,45,51,55,63,2,30,3])).
% 3.88/3.93 cnf(129,plain,
% 3.88/3.93 (P6(f9(f9(f5(a17,a17),f7(f6(f7(a4),f8(f10(f5(a4,a17)))))),f5(a17,a17)),f9(f5(a17,a17),f9(f5(a17,a17),f7(f6(f7(a4),f8(f10(f5(a4,a17))))))))),
% 3.88/3.93 inference(scs_inference,[],[57,120,45,51,55,63,2,30,3,32])).
% 3.88/3.93 cnf(130,plain,
% 3.88/3.93 (P6(x1301,x1301)),
% 3.88/3.93 inference(rename_variables,[],[120])).
% 3.88/3.93 cnf(131,plain,
% 3.88/3.93 (E(f9(f5(x1311,x1312),x1313),f9(x1313,f5(x1311,x1312)))),
% 3.88/3.93 inference(rename_variables,[],[51])).
% 3.88/3.93 cnf(134,plain,
% 3.88/3.93 (P5(f20(a1),a1)),
% 3.88/3.93 inference(scs_inference,[],[57,120,130,45,51,131,55,63,2,30,3,32,33,65])).
% 3.88/3.93 cnf(136,plain,
% 3.88/3.93 (~P5(x1361,f6(x1362,x1363))+P5(x1361,f5(a17,a17))),
% 3.88/3.93 inference(scs_inference,[],[57,120,130,50,45,51,131,55,63,2,30,3,32,33,65,71])).
% 3.88/3.93 cnf(143,plain,
% 3.88/3.93 (P5(f20(a1),a17)),
% 3.88/3.93 inference(scs_inference,[],[46,128,134,2,71])).
% 3.88/3.93 cnf(147,plain,
% 3.88/3.93 (~E(f23(x1471,x1472),a13)),
% 3.88/3.93 inference(scs_inference,[],[57,46,129,128,134,49,55,2,71,33,30])).
% 3.88/3.93 cnf(150,plain,
% 3.88/3.93 (~P5(a13,f5(x1501,x1502))),
% 3.88/3.93 inference(scs_inference,[],[57,46,126,129,128,134,49,55,2,71,33,30,32,93])).
% 3.88/3.93 cnf(158,plain,
% 3.88/3.93 (~P5(a13,f6(x1581,x1582))),
% 3.88/3.93 inference(scs_inference,[],[57,46,126,129,128,134,49,55,2,71,33,30,32,93,65,63,75,136])).
% 3.88/3.93 cnf(170,plain,
% 3.88/3.93 (P5(f20(f23(x1701,x1702)),f23(x1701,x1702))),
% 3.88/3.93 inference(scs_inference,[],[147,158,63,65])).
% 3.88/3.93 cnf(179,plain,
% 3.88/3.93 (E(f20(f23(x1791,x1792)),x1792)+E(f20(f23(x1791,x1792)),x1791)),
% 3.88/3.93 inference(scs_inference,[],[57,147,158,143,129,128,55,150,48,63,65,2,71,30,32,42,75])).
% 3.88/3.93 cnf(1270,plain,
% 3.88/3.93 ($false),
% 3.88/3.93 inference(scs_inference,[],[170,57,46,71,30,179]),
% 3.88/3.93 ['proof']).
% 3.88/3.93 % SZS output end Proof
% 3.88/3.93 % Total time :3.290000s
%------------------------------------------------------------------------------