%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SET103-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n025.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 14:20:44 EDT 2024
% Result : Unsatisfiable 0.57s 0.70s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET103-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.10/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.31 % Computer : n025.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sun Jun 23 13:14:09 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.17/0.57 start to proof:theBenchmark
% 0.57/0.69 %-------------------------------------------
% 0.57/0.69 % File :CSE---1.7
% 0.57/0.69 % Problem :theBenchmark
% 0.57/0.69 % Transform :cnf
% 0.57/0.69 % Format :tptp:raw
% 0.57/0.69 % Command :java -jar mcs_scs.jar %d %s
% 0.57/0.69
% 0.57/0.69 % Result :Theorem 0.050000s
% 0.57/0.69 % Output :CNFRefutation 0.050000s
% 0.57/0.69 %-------------------------------------------
% 0.57/0.70 %--------------------------------------------------------------------------
% 0.57/0.70 % File : SET103-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.57/0.70 % Domain : Set Theory
% 0.57/0.70 % Problem : Special member 1 of an ordered pair
% 0.57/0.70 % Version : [Qua92] axioms.
% 0.57/0.70 % English :
% 0.57/0.70
% 0.57/0.70 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 0.57/0.70 % Source : [Quaife]
% 0.57/0.70 % Names :
% 0.57/0.70
% 0.57/0.70 % Status : Unsatisfiable
% 0.57/0.70 % Rating : 0.20 v8.2.0, 0.24 v8.1.0, 0.16 v7.5.0, 0.32 v7.4.0, 0.29 v7.3.0, 0.33 v7.1.0, 0.25 v7.0.0, 0.53 v6.3.0, 0.45 v6.2.0, 0.50 v6.1.0, 0.57 v6.0.0, 0.60 v5.5.0, 0.75 v5.3.0, 0.78 v5.2.0, 0.69 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, 0.50 v3.3.0, 0.57 v3.2.0, 0.54 v3.1.0, 0.55 v2.7.0, 0.50 v2.6.0, 0.44 v2.5.0, 0.45 v2.4.0, 0.25 v2.3.0, 0.50 v2.2.1, 0.50 v2.2.0, 0.67 v2.1.0
% 0.57/0.70 % Syntax : Number of clauses : 93 ( 31 unt; 8 nHn; 64 RR)
% 0.57/0.70 % Number of literals : 183 ( 40 equ; 86 neg)
% 0.57/0.70 % Maximal clause size : 5 ( 1 avg)
% 0.57/0.70 % Maximal term depth : 6 ( 1 avg)
% 0.57/0.70 % Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% 0.57/0.70 % Number of functors : 40 ( 40 usr; 10 con; 0-3 aty)
% 0.57/0.70 % Number of variables : 176 ( 25 sgn)
% 0.57/0.70 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.57/0.70
% 0.57/0.70 % Comments :
% 0.57/0.70 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 0.57/0.70 %--------------------------------------------------------------------------
% 0.57/0.70 %----Include von Neuman-Bernays-Godel set theory axioms
% 0.57/0.70 include('Axioms/SET004-0.ax').
% 0.57/0.70 %--------------------------------------------------------------------------
% 0.57/0.70 cnf(prove_property_1_of_ordered_pair_1,negated_conjecture,
% 0.57/0.70 unordered_pair(singleton(x),unordered_pair(x,null_class)) != ordered_pair(x,y) ).
% 0.57/0.70
% 0.57/0.70 cnf(prove_property_1_of_ordered_pair_2,negated_conjecture,
% 0.57/0.70 ~ member(y,universal_class) ).
% 0.57/0.70
% 0.57/0.70 %--------------------------------------------------------------------------
% 0.57/0.70 %-------------------------------------------
% 0.57/0.70 % Proof found
% 0.57/0.70 % SZS status Theorem for theBenchmark
% 0.57/0.70 % SZS output start Proof
% 0.57/0.71 %ClaNum:120(EqnAxiom:42)
% 0.57/0.71 %VarNum:718(SingletonVarNum:150)
% 0.57/0.71 %MaxLitNum:5
% 0.57/0.71 %MaxfuncDepth:24
% 0.57/0.71 %SharedTerms:39
% 0.57/0.71 %goalClause: 57 58
% 0.57/0.71 %singleGoalClaCount:2
% 0.57/0.71 [43]P1(a1)
% 0.57/0.71 [44]P2(a2)
% 0.57/0.71 [45]P5(a1,a17)
% 0.57/0.71 [57]~P5(a24,a17)
% 0.57/0.71 [47]P6(a4,f5(a17,a17))
% 0.57/0.71 [48]P6(a18,f5(a17,a17))
% 0.57/0.71 [58]~E(f23(f23(a25,a25),f23(a25,f23(a24,a24))),f23(f23(a25,a25),f23(a25,a13)))
% 0.57/0.71 [54]E(f9(f8(f10(f5(a21,a17))),a21),a12)
% 0.57/0.71 [55]E(f9(f5(a17,a17),f9(f5(a17,a17),f7(f6(f7(a4),f8(f10(f5(a4,a17))))))),a21)
% 0.57/0.71 [46]P6(x461,a17)
% 0.57/0.71 [52]P6(f19(x521),f5(f5(a17,a17),a17))
% 0.57/0.71 [53]P6(f10(x531),f5(f5(a17,a17),a17))
% 0.57/0.71 [56]E(f9(f8(x561),f7(f8(f9(f6(f8(f10(f5(a4,a17))),x561),a12)))),f3(x561))
% 0.57/0.71 [49]P5(f23(x491,x492),a17)
% 0.57/0.71 [50]P6(f6(x501,x502),f5(a17,a17))
% 0.57/0.71 [51]E(f9(f5(x511,x512),x513),f9(x513,f5(x511,x512)))
% 0.57/0.71 [59]~P7(x591)+P2(x591)
% 0.57/0.71 [60]~P8(x601)+P2(x601)
% 0.57/0.71 [63]~P1(x631)+P6(a1,x631)
% 0.57/0.71 [64]~P1(x641)+P5(a13,x641)
% 0.57/0.71 [66]P5(f20(x661),x661)+E(x661,a13)
% 0.57/0.71 [67]~P2(x671)+P6(x671,f5(a17,a17))
% 0.57/0.71 [65]E(x651,a13)+E(f9(x651,f20(x651)),a13)
% 0.57/0.71 [75]~P8(x751)+E(f5(f8(f8(x751)),f8(f8(x751))),f8(x751))
% 0.57/0.71 [85]~P7(x851)+P2(f8(f10(f5(x851,a17))))
% 0.57/0.71 [89]~P5(x891,a17)+P5(f8(f9(a4,f5(a17,x891))),a17)
% 0.57/0.71 [91]~P9(x911)+P6(f6(x911,f8(f10(f5(x911,a17)))),a12)
% 0.57/0.71 [92]~P2(x921)+P6(f6(x921,f8(f10(f5(x921,a17)))),a12)
% 0.57/0.71 [93]~P8(x931)+P6(f8(f8(f10(f5(x931,a17)))),f8(f8(x931)))
% 0.57/0.71 [98]P9(x981)+~P6(f6(x981,f8(f10(f5(x981,a17)))),a12)
% 0.57/0.71 [107]~P1(x1071)+P6(f8(f8(f10(f5(f9(a18,f5(x1071,a17)),a17)))),x1071)
% 0.57/0.71 [111]~P5(x1111,a17)+P5(f7(f8(f8(f10(f5(f9(a4,f5(f7(x1111),a17)),a17))))),a17)
% 0.57/0.71 [61]~E(x612,x611)+P6(x611,x612)
% 0.57/0.71 [62]~E(x621,x622)+P6(x621,x622)
% 0.57/0.71 [69]P6(x691,x692)+P5(f14(x691,x692),x691)
% 0.57/0.71 [70]~P5(x701,x702)+~P5(x701,f7(x702))
% 0.57/0.71 [73]~P5(x731,a17)+P5(x731,f23(x732,x731))
% 0.57/0.71 [74]~P5(x741,a17)+P5(x741,f23(x741,x742))
% 0.57/0.71 [79]P6(x791,x792)+~P5(f14(x791,x792),x792)
% 0.57/0.71 [88]~P5(x882,f8(x881))+~E(f9(x881,f5(f23(x882,x882),a17)),a13)
% 0.57/0.71 [97]P5(x971,x972)+~P5(f23(f23(x971,x971),f23(x971,f23(x972,x972))),a4)
% 0.57/0.71 [104]~P5(f23(f23(x1041,x1041),f23(x1041,f23(x1042,x1042))),a18)+E(f7(f9(f7(x1041),f7(f23(x1041,x1041)))),x1042)
% 0.57/0.71 [81]P2(x811)+~P3(x811,x812,x813)
% 0.57/0.71 [82]P8(x821)+~P4(x822,x823,x821)
% 0.57/0.71 [83]P8(x831)+~P4(x832,x831,x833)
% 0.57/0.71 [87]~P4(x871,x872,x873)+P3(x871,x872,x873)
% 0.57/0.71 [77]P5(x771,x772)+~P5(x771,f9(x773,x772))
% 0.57/0.71 [78]P5(x781,x782)+~P5(x781,f9(x782,x783))
% 0.57/0.71 [84]~P3(x842,x841,x843)+E(f8(f8(x841)),f8(x842))
% 0.57/0.71 [94]~P5(x941,f5(x942,x943))+E(f23(f23(f11(x941),f11(x941)),f23(f11(x941),f23(f22(x941),f22(x941)))),x941)
% 0.57/0.71 [96]~P3(x961,x963,x962)+P6(f8(f8(f10(f5(x961,a17)))),f8(f8(x962)))
% 0.57/0.71 [99]P5(x991,x992)+~P5(f23(f23(x993,x993),f23(x993,f23(x991,x991))),f5(x994,x992))
% 0.57/0.71 [100]P5(x1001,x1002)+~P5(f23(f23(x1001,x1001),f23(x1001,f23(x1003,x1003))),f5(x1002,x1004))
% 0.57/0.71 [112]~P5(f23(f23(f23(f23(x1123,x1123),f23(x1123,f23(x1121,x1121))),f23(f23(x1123,x1123),f23(x1123,f23(x1121,x1121)))),f23(f23(f23(x1123,x1123),f23(x1123,f23(x1121,x1121))),f23(x1122,x1122))),f19(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)
% 0.57/0.71 [113]~P5(f23(f23(f23(f23(x1132,x1132),f23(x1132,f23(x1131,x1131))),f23(f23(x1132,x1132),f23(x1132,f23(x1131,x1131)))),f23(f23(f23(x1132,x1132),f23(x1132,f23(x1131,x1131))),f23(x1133,x1133))),f10(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))),x1134)
% 0.57/0.71 [117]~P5(f23(f23(x1174,x1174),f23(x1174,f23(x1171,x1171))),f6(x1172,x1173))+P5(x1171,f8(f8(f10(f5(f9(x1172,f5(f8(f8(f10(f5(f9(x1173,f5(f23(x1174,x1174),a17)),a17)))),a17)),a17)))))
% 0.57/0.71 [90]~P2(x901)+P7(x901)+~P2(f8(f10(f5(x901,a17))))
% 0.57/0.71 [101]P2(x1011)+~P6(x1011,f5(a17,a17))+~P6(f6(x1011,f8(f10(f5(x1011,a17)))),a12)
% 0.57/0.71 [109]P1(x1091)+~P5(a13,x1091)+~P6(f8(f8(f10(f5(f9(a18,f5(x1091,a17)),a17)))),x1091)
% 0.57/0.71 [116]~P5(x1161,a17)+E(x1161,a13)+P5(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(a2,f5(f23(x1161,x1161),a17)),a17))))))),x1161)
% 0.57/0.71 [68]~P6(x682,x681)+~P6(x681,x682)+E(x681,x682)
% 0.57/0.71 [71]P5(x711,x712)+P5(x711,f7(x712))+~P5(x711,a17)
% 0.57/0.71 [86]P5(x862,f8(x861))+~P5(x862,a17)+E(f9(x861,f5(f23(x862,x862),a17)),a13)
% 0.57/0.71 [105]~P5(x1051,x1052)+~P5(f23(f23(x1051,x1051),f23(x1051,f23(x1052,x1052))),f5(a17,a17))+P5(f23(f23(x1051,x1051),f23(x1051,f23(x1052,x1052))),a4)
% 0.57/0.71 [106]~P5(f23(f23(x1061,x1061),f23(x1061,f23(x1062,x1062))),f5(a17,a17))+~E(f7(f9(f7(x1061),f7(f23(x1061,x1061)))),x1062)+P5(f23(f23(x1061,x1061),f23(x1061,f23(x1062,x1062))),a18)
% 0.57/0.71 [108]~P2(x1081)+~P5(x1082,a17)+P5(f8(f8(f10(f5(f9(x1081,f5(x1082,a17)),a17)))),a17)
% 0.57/0.71 [72]~P5(x721,x723)+P5(x721,x722)+~P6(x723,x722)
% 0.57/0.71 [76]E(x761,x762)+E(x761,x763)+~P5(x761,f23(x763,x762))
% 0.57/0.71 [80]~P5(x801,x803)+~P5(x801,x802)+P5(x801,f9(x802,x803))
% 0.57/0.71 [95]~P5(x952,x954)+~P5(x951,x953)+P5(f23(f23(x951,x951),f23(x951,f23(x952,x952))),f5(x953,x954))
% 0.57/0.71 [114]~P5(f23(f23(f23(f23(x1142,x1142),f23(x1142,f23(x1143,x1143))),f23(f23(x1142,x1142),f23(x1142,f23(x1143,x1143)))),f23(f23(f23(x1142,x1142),f23(x1142,f23(x1143,x1143))),f23(x1141,x1141))),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))),f19(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))
% 0.57/0.71 [115]~P5(f23(f23(f23(f23(x1152,x1152),f23(x1152,f23(x1151,x1151))),f23(f23(x1152,x1152),f23(x1152,f23(x1151,x1151)))),f23(f23(f23(x1152,x1152),f23(x1152,f23(x1151,x1151))),f23(x1153,x1153))),x1154)+P5(f23(f23(f23(f23(x1151,x1151),f23(x1151,f23(x1152,x1152))),f23(f23(x1151,x1151),f23(x1151,f23(x1152,x1152)))),f23(f23(f23(x1151,x1151),f23(x1151,f23(x1152,x1152))),f23(x1153,x1153))),f10(x1154))+~P5(f23(f23(f23(f23(x1151,x1151),f23(x1151,f23(x1152,x1152))),f23(f23(x1151,x1151),f23(x1151,f23(x1152,x1152)))),f23(f23(f23(x1151,x1151),f23(x1151,f23(x1152,x1152))),f23(x1153,x1153))),f5(f5(a17,a17),a17))
% 0.57/0.71 [118]P5(f23(f23(x1181,x1181),f23(x1181,f23(x1182,x1182))),f6(x1183,x1184))+~P5(f23(f23(x1181,x1181),f23(x1181,f23(x1182,x1182))),f5(a17,a17))+~P5(x1182,f8(f8(f10(f5(f9(x1183,f5(f8(f8(f10(f5(f9(x1184,f5(f23(x1181,x1181),a17)),a17)))),a17)),a17)))))
% 0.57/0.71 [119]~P4(x1192,x1195,x1191)+~P5(f23(f23(x1193,x1193),f23(x1193,f23(x1194,x1194))),f8(x1195))+E(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1191,f5(f23(f23(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f23(x1193,x1193),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f23(x1193,x1193),a17)),a17)))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f23(x1193,x1193),a17)),a17))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f23(x1194,x1194),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f23(x1194,x1194),a17)),a17)))))))))),f23(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f23(x1193,x1193),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f23(x1193,x1193),a17)),a17)))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f23(x1193,x1193),a17)),a17))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f23(x1194,x1194),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f23(x1194,x1194),a17)),a17))))))))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1195,f5(f23(f23(f23(x1193,x1193),f23(x1193,f23(x1194,x1194))),f23(f23(x1193,x1193),f23(x1193,f23(x1194,x1194)))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1195,f5(f23(f23(f23(x1193,x1193),f23(x1193,f23(x1194,x1194))),f23(f23(x1193,x1193),f23(x1193,f23(x1194,x1194)))),a17)),a17)))))))),a17)),a17))))))))
% 0.57/0.71 [103]~P2(x1031)+P8(x1031)+~E(f5(f8(f8(x1031)),f8(f8(x1031))),f8(x1031))+~P6(f8(f8(f10(f5(x1031,a17)))),f8(f8(x1031)))
% 0.57/0.71 [102]~P2(x1021)+P3(x1021,x1022,x1023)+~E(f8(f8(x1022)),f8(x1021))+~P6(f8(f8(f10(f5(x1021,a17)))),f8(f8(x1023)))
% 0.57/0.71 [110]~P8(x1103)+~P8(x1102)+~P3(x1101,x1102,x1103)+P4(x1101,x1102,x1103)+P5(f23(f23(f15(x1101,x1102,x1103),f15(x1101,x1102,x1103)),f23(f15(x1101,x1102,x1103),f23(f16(x1101,x1102,x1103),f16(x1101,x1102,x1103)))),f8(x1102))
% 0.57/0.71 [120]~P8(x1203)+~P8(x1202)+~P3(x1201,x1202,x1203)+P4(x1201,x1202,x1203)+~E(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1203,f5(f23(f23(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f23(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f23(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),a17)),a17)))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f23(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),a17)),a17))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f23(f16(x1201,x1202,x1203),f16(x1201,x1202,x1203)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f23(f16(x1201,x1202,x1203),f16(x1201,x1202,x1203)),a17)),a17)))))))))),f23(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f23(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f23(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),a17)),a17)))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f23(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),a17)),a17))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f23(f16(x1201,x1202,x1203),f16(x1201,x1202,x1203)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f23(f16(x1201,x1202,x1203),f16(x1201,x1202,x1203)),a17)),a17))))))))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f23(f23(f23(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),f23(f15(x1201,x1202,x1203),f23(f16(x1201,x1202,x1203),f16(x1201,x1202,x1203)))),f23(f23(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),f23(f15(x1201,x1202,x1203),f23(f16(x1201,x1202,x1203),f16(x1201,x1202,x1203))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f23(f23(f23(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),f23(f15(x1201,x1202,x1203),f23(f16(x1201,x1202,x1203),f16(x1201,x1202,x1203)))),f23(f23(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),f23(f15(x1201,x1202,x1203),f23(f16(x1201,x1202,x1203),f16(x1201,x1202,x1203))))),a17)),a17)))))))),a17)),a17))))))))
% 0.57/0.71 %EqnAxiom
% 0.57/0.71 [1]E(x11,x11)
% 0.57/0.71 [2]E(x22,x21)+~E(x21,x22)
% 0.57/0.71 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.57/0.71 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 0.57/0.71 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 0.57/0.71 [6]~E(x61,x62)+E(f8(x61),f8(x62))
% 0.57/0.71 [7]~E(x71,x72)+E(f23(x71,x73),f23(x72,x73))
% 0.57/0.71 [8]~E(x81,x82)+E(f23(x83,x81),f23(x83,x82))
% 0.57/0.71 [9]~E(x91,x92)+E(f6(x91,x93),f6(x92,x93))
% 0.57/0.71 [10]~E(x101,x102)+E(f6(x103,x101),f6(x103,x102))
% 0.57/0.71 [11]~E(x111,x112)+E(f9(x111,x113),f9(x112,x113))
% 0.57/0.71 [12]~E(x121,x122)+E(f9(x123,x121),f9(x123,x122))
% 0.57/0.71 [13]~E(x131,x132)+E(f16(x131,x133,x134),f16(x132,x133,x134))
% 0.57/0.71 [14]~E(x141,x142)+E(f16(x143,x141,x144),f16(x143,x142,x144))
% 0.57/0.71 [15]~E(x151,x152)+E(f16(x153,x154,x151),f16(x153,x154,x152))
% 0.57/0.71 [16]~E(x161,x162)+E(f10(x161),f10(x162))
% 0.57/0.71 [17]~E(x171,x172)+E(f15(x171,x173,x174),f15(x172,x173,x174))
% 0.57/0.71 [18]~E(x181,x182)+E(f15(x183,x181,x184),f15(x183,x182,x184))
% 0.57/0.71 [19]~E(x191,x192)+E(f15(x193,x194,x191),f15(x193,x194,x192))
% 0.57/0.71 [20]~E(x201,x202)+E(f7(x201),f7(x202))
% 0.57/0.71 [21]~E(x211,x212)+E(f19(x211),f19(x212))
% 0.57/0.71 [22]~E(x221,x222)+E(f3(x221),f3(x222))
% 0.57/0.71 [23]~E(x231,x232)+E(f22(x231),f22(x232))
% 0.57/0.71 [24]~E(x241,x242)+E(f14(x241,x243),f14(x242,x243))
% 0.57/0.71 [25]~E(x251,x252)+E(f14(x253,x251),f14(x253,x252))
% 0.57/0.71 [26]~E(x261,x262)+E(f11(x261),f11(x262))
% 0.57/0.71 [27]~E(x271,x272)+E(f20(x271),f20(x272))
% 0.57/0.71 [28]~P1(x281)+P1(x282)+~E(x281,x282)
% 0.57/0.71 [29]~P2(x291)+P2(x292)+~E(x291,x292)
% 0.57/0.71 [30]P5(x302,x303)+~E(x301,x302)+~P5(x301,x303)
% 0.57/0.71 [31]P5(x313,x312)+~E(x311,x312)+~P5(x313,x311)
% 0.57/0.71 [32]P6(x322,x323)+~E(x321,x322)+~P6(x321,x323)
% 0.57/0.71 [33]P6(x333,x332)+~E(x331,x332)+~P6(x333,x331)
% 0.57/0.71 [34]P4(x342,x343,x344)+~E(x341,x342)+~P4(x341,x343,x344)
% 0.57/0.71 [35]P4(x353,x352,x354)+~E(x351,x352)+~P4(x353,x351,x354)
% 0.57/0.71 [36]P4(x363,x364,x362)+~E(x361,x362)+~P4(x363,x364,x361)
% 0.57/0.71 [37]~P8(x371)+P8(x372)+~E(x371,x372)
% 0.57/0.71 [38]P3(x382,x383,x384)+~E(x381,x382)+~P3(x381,x383,x384)
% 0.57/0.71 [39]P3(x393,x392,x394)+~E(x391,x392)+~P3(x393,x391,x394)
% 0.57/0.71 [40]P3(x403,x404,x402)+~E(x401,x402)+~P3(x403,x404,x401)
% 0.57/0.71 [41]~P7(x411)+P7(x412)+~E(x411,x412)
% 0.57/0.71 [42]~P9(x421)+P9(x422)+~E(x421,x422)
% 0.57/0.71
% 0.57/0.71 %-------------------------------------------
% 0.57/0.71 cnf(121,plain,
% 0.57/0.71 (P6(x1211,x1211)),
% 0.57/0.71 inference(equality_inference,[],[61])).
% 0.57/0.71 cnf(125,plain,
% 0.57/0.71 (E(f9(x1251,f5(x1252,x1253)),f9(f5(x1252,x1253),x1251))),
% 0.57/0.71 inference(scs_inference,[],[51,2])).
% 0.57/0.71 cnf(126,plain,
% 0.57/0.71 (~E(f23(a25,f23(a24,a24)),f23(a25,a13))),
% 0.57/0.72 inference(scs_inference,[],[58,51,2,8])).
% 0.57/0.72 cnf(127,plain,
% 0.57/0.72 (E(f9(f9(f5(a17,a17),f7(f6(f7(a4),f8(f10(f5(a4,a17)))))),f5(a17,a17)),a21)),
% 0.57/0.72 inference(scs_inference,[],[58,51,55,2,8,3])).
% 0.57/0.72 cnf(129,plain,
% 0.57/0.72 (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))))))))),
% 0.57/0.72 inference(scs_inference,[],[57,58,121,45,51,55,2,8,3,30,32])).
% 0.57/0.72 cnf(130,plain,
% 0.57/0.72 (P6(x1301,x1301)),
% 0.57/0.72 inference(rename_variables,[],[121])).
% 0.57/0.72 cnf(131,plain,
% 0.57/0.72 (E(f9(f5(x1311,x1312),x1313),f9(x1313,f5(x1311,x1312)))),
% 0.57/0.72 inference(rename_variables,[],[51])).
% 0.57/0.72 cnf(136,plain,
% 0.57/0.72 (~P5(x1361,f6(x1362,x1363))+P5(x1361,f5(a17,a17))),
% 0.57/0.72 inference(scs_inference,[],[57,58,121,130,50,45,51,131,55,2,8,3,30,32,33,68,72])).
% 0.57/0.72 cnf(148,plain,
% 0.57/0.72 (~E(f23(x1481,x1482),a24)),
% 0.57/0.72 inference(scs_inference,[],[57,125,126,127,129,49,55,8,2,33,32,30])).
% 0.57/0.72 cnf(149,plain,
% 0.57/0.72 (P5(f20(f23(a24,a24)),f23(a24,a24))),
% 0.57/0.72 inference(scs_inference,[],[57,125,126,127,129,49,55,8,2,33,32,30,66])).
% 0.57/0.72 cnf(151,plain,
% 0.57/0.72 (~P5(a24,f5(x1511,x1512))),
% 0.57/0.72 inference(scs_inference,[],[57,125,126,127,129,49,55,8,2,33,32,30,66,94])).
% 0.57/0.72 cnf(153,plain,
% 0.57/0.72 (E(f20(f23(a24,a24)),a24)),
% 0.57/0.72 inference(scs_inference,[],[57,125,126,127,129,49,55,8,2,33,32,30,66,94,76])).
% 0.57/0.72 cnf(169,plain,
% 0.57/0.72 (P5(f20(f23(a24,a24)),a17)),
% 0.57/0.72 inference(scs_inference,[],[153,46,149,151,136,2,72])).
% 0.57/0.72 cnf(175,plain,
% 0.57/0.72 (~P5(f20(f23(a24,a24)),f5(x1751,x1752))),
% 0.57/0.72 inference(scs_inference,[],[127,148,153,129,46,149,151,136,2,72,30,32,3,94])).
% 0.57/0.72 cnf(191,plain,
% 0.57/0.72 (~P5(f20(f23(a24,a24)),f5(x1911,x1912))),
% 0.57/0.72 inference(rename_variables,[],[175])).
% 0.57/0.72 cnf(195,plain,
% 0.57/0.72 (~P5(f20(f23(a24,a24)),f5(x1951,x1952))),
% 0.57/0.72 inference(rename_variables,[],[175])).
% 0.57/0.72 cnf(200,plain,
% 0.57/0.72 ($false),
% 0.57/0.72 inference(scs_inference,[],[57,127,169,153,121,175,191,195,48,54,136,2,72,31,32,30]),
% 0.57/0.72 ['proof']).
% 0.57/0.72 % SZS output end Proof
% 0.57/0.72 % Total time :0.050000s
%------------------------------------------------------------------------------