TSTP Solution File: SET080-6 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET080-6 : 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 : n003.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 14:28:31 EDT 2023
% Result : Unsatisfiable 1.19s 1.29s
% Output : CNFRefutation 1.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET080-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 12:06:24 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.61 start to proof:theBenchmark
% 1.19/1.28 %-------------------------------------------
% 1.19/1.28 % File :CSE---1.6
% 1.19/1.28 % Problem :theBenchmark
% 1.19/1.28 % Transform :cnf
% 1.19/1.28 % Format :tptp:raw
% 1.19/1.28 % Command :java -jar mcs_scs.jar %d %s
% 1.19/1.28
% 1.19/1.28 % Result :Theorem 0.600000s
% 1.19/1.28 % Output :CNFRefutation 0.600000s
% 1.19/1.28 %-------------------------------------------
% 1.19/1.29 %--------------------------------------------------------------------------
% 1.19/1.29 % File : SET080-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 1.19/1.29 % Domain : Set Theory
% 1.19/1.29 % Problem : Corollary to a set belongs to its singleton
% 1.19/1.29 % Version : [Qua92] axioms.
% 1.19/1.29 % English :
% 1.19/1.29
% 1.19/1.29 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 1.19/1.29 % Source : [TPTP]
% 1.19/1.29 % Names :
% 1.19/1.29
% 1.19/1.29 % Status : Unsatisfiable
% 1.19/1.29 % Rating : 0.10 v8.1.0, 0.11 v7.5.0, 0.05 v7.4.0, 0.12 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.00 v5.5.0, 0.15 v5.3.0, 0.17 v5.2.0, 0.12 v5.0.0, 0.07 v4.1.0, 0.08 v4.0.1, 0.18 v3.7.0, 0.30 v3.5.0, 0.27 v3.4.0, 0.17 v3.3.0, 0.14 v3.2.0, 0.08 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.5.0, 0.09 v2.4.0, 0.00 v2.1.0
% 1.19/1.29 % Syntax : Number of clauses : 92 ( 30 unt; 8 nHn; 63 RR)
% 1.19/1.29 % Number of literals : 182 ( 39 equ; 85 neg)
% 1.19/1.29 % Maximal clause size : 5 ( 1 avg)
% 1.19/1.29 % Maximal term depth : 6 ( 1 avg)
% 1.19/1.29 % Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% 1.19/1.29 % Number of functors : 38 ( 38 usr; 8 con; 0-3 aty)
% 1.19/1.29 % Number of variables : 176 ( 25 sgn)
% 1.19/1.29 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.19/1.29
% 1.19/1.29 % Comments : Not in [Qua92].
% 1.19/1.29 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 1.19/1.29 %--------------------------------------------------------------------------
% 1.19/1.29 %----Include von Neuman-Bernays-Godel set theory axioms
% 1.19/1.29 include('Axioms/SET004-0.ax').
% 1.19/1.29 %--------------------------------------------------------------------------
% 1.19/1.29 cnf(prove_null_class_in_its_singleton_1,negated_conjecture,
% 1.19/1.29 ~ member(null_class,singleton(null_class)) ).
% 1.19/1.29
% 1.19/1.29 %--------------------------------------------------------------------------
% 1.19/1.29 %-------------------------------------------
% 1.19/1.29 % Proof found
% 1.19/1.29 % SZS status Theorem for theBenchmark
% 1.19/1.29 % SZS output start Proof
% 1.19/1.30 %ClaNum:119(EqnAxiom:42)
% 1.19/1.30 %VarNum:718(SingletonVarNum:150)
% 1.19/1.30 %MaxLitNum:5
% 1.19/1.30 %MaxfuncDepth:24
% 1.19/1.30 %SharedTerms:31
% 1.19/1.30 %goalClause: 57
% 1.19/1.30 %singleGoalClaCount:1
% 1.19/1.30 [43]P1(a1)
% 1.19/1.30 [44]P2(a2)
% 1.19/1.30 [45]P5(a1,a17)
% 1.19/1.30 [47]P6(a4,f5(a17,a17))
% 1.19/1.30 [48]P6(a18,f5(a17,a17))
% 1.19/1.30 [57]~P5(a13,f23(a13,a13))
% 1.19/1.30 [54]E(f9(f8(f10(f5(a21,a17))),a21),a12)
% 1.19/1.30 [55]E(f9(f5(a17,a17),f9(f5(a17,a17),f7(f6(f7(a4),f8(f10(f5(a4,a17))))))),a21)
% 1.19/1.30 [46]P6(x461,a17)
% 1.19/1.30 [52]P6(f19(x521),f5(f5(a17,a17),a17))
% 1.19/1.30 [53]P6(f10(x531),f5(f5(a17,a17),a17))
% 1.19/1.30 [56]E(f9(f8(x561),f7(f8(f9(f6(f8(f10(f5(a4,a17))),x561),a12)))),f3(x561))
% 1.19/1.30 [49]P5(f23(x491,x492),a17)
% 1.19/1.30 [50]P6(f6(x501,x502),f5(a17,a17))
% 1.19/1.30 [51]E(f9(f5(x511,x512),x513),f9(x513,f5(x511,x512)))
% 1.19/1.30 [58]~P7(x581)+P2(x581)
% 1.19/1.30 [59]~P8(x591)+P2(x591)
% 1.19/1.30 [62]~P1(x621)+P6(a1,x621)
% 1.19/1.30 [63]~P1(x631)+P5(a13,x631)
% 1.19/1.30 [65]P5(f20(x651),x651)+E(x651,a13)
% 1.19/1.30 [66]~P2(x661)+P6(x661,f5(a17,a17))
% 1.19/1.30 [64]E(x641,a13)+E(f9(x641,f20(x641)),a13)
% 1.19/1.30 [74]~P8(x741)+E(f5(f8(f8(x741)),f8(f8(x741))),f8(x741))
% 1.19/1.30 [84]~P7(x841)+P2(f8(f10(f5(x841,a17))))
% 1.19/1.30 [88]~P5(x881,a17)+P5(f8(f9(a4,f5(a17,x881))),a17)
% 1.19/1.30 [90]~P9(x901)+P6(f6(x901,f8(f10(f5(x901,a17)))),a12)
% 1.19/1.30 [91]~P2(x911)+P6(f6(x911,f8(f10(f5(x911,a17)))),a12)
% 1.19/1.30 [92]~P8(x921)+P6(f8(f8(f10(f5(x921,a17)))),f8(f8(x921)))
% 1.19/1.30 [97]P9(x971)+~P6(f6(x971,f8(f10(f5(x971,a17)))),a12)
% 1.19/1.30 [106]~P1(x1061)+P6(f8(f8(f10(f5(f9(a18,f5(x1061,a17)),a17)))),x1061)
% 1.19/1.30 [110]~P5(x1101,a17)+P5(f7(f8(f8(f10(f5(f9(a4,f5(f7(x1101),a17)),a17))))),a17)
% 1.19/1.30 [60]~E(x602,x601)+P6(x601,x602)
% 1.19/1.30 [61]~E(x611,x612)+P6(x611,x612)
% 1.19/1.30 [68]P6(x681,x682)+P5(f14(x681,x682),x681)
% 1.19/1.30 [69]~P5(x691,x692)+~P5(x691,f7(x692))
% 1.19/1.30 [72]~P5(x721,a17)+P5(x721,f23(x722,x721))
% 1.19/1.30 [73]~P5(x731,a17)+P5(x731,f23(x731,x732))
% 1.19/1.30 [78]P6(x781,x782)+~P5(f14(x781,x782),x782)
% 1.19/1.30 [87]~P5(x872,f8(x871))+~E(f9(x871,f5(f23(x872,x872),a17)),a13)
% 1.19/1.30 [96]P5(x961,x962)+~P5(f23(f23(x961,x961),f23(x961,f23(x962,x962))),a4)
% 1.19/1.30 [103]~P5(f23(f23(x1031,x1031),f23(x1031,f23(x1032,x1032))),a18)+E(f7(f9(f7(x1031),f7(f23(x1031,x1031)))),x1032)
% 1.19/1.30 [80]P2(x801)+~P3(x801,x802,x803)
% 1.19/1.30 [81]P8(x811)+~P4(x812,x813,x811)
% 1.19/1.30 [82]P8(x821)+~P4(x822,x821,x823)
% 1.19/1.30 [86]~P4(x861,x862,x863)+P3(x861,x862,x863)
% 1.19/1.30 [76]P5(x761,x762)+~P5(x761,f9(x763,x762))
% 1.19/1.30 [77]P5(x771,x772)+~P5(x771,f9(x772,x773))
% 1.19/1.30 [83]~P3(x832,x831,x833)+E(f8(f8(x831)),f8(x832))
% 1.19/1.30 [93]~P5(x931,f5(x932,x933))+E(f23(f23(f11(x931),f11(x931)),f23(f11(x931),f23(f22(x931),f22(x931)))),x931)
% 1.19/1.30 [95]~P3(x951,x953,x952)+P6(f8(f8(f10(f5(x951,a17)))),f8(f8(x952)))
% 1.19/1.30 [98]P5(x981,x982)+~P5(f23(f23(x983,x983),f23(x983,f23(x981,x981))),f5(x984,x982))
% 1.19/1.30 [99]P5(x991,x992)+~P5(f23(f23(x991,x991),f23(x991,f23(x993,x993))),f5(x992,x994))
% 1.19/1.30 [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)
% 1.19/1.30 [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)
% 1.19/1.30 [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)))))
% 1.19/1.30 [89]~P2(x891)+P7(x891)+~P2(f8(f10(f5(x891,a17))))
% 1.19/1.30 [100]P2(x1001)+~P6(x1001,f5(a17,a17))+~P6(f6(x1001,f8(f10(f5(x1001,a17)))),a12)
% 1.19/1.30 [108]P1(x1081)+~P5(a13,x1081)+~P6(f8(f8(f10(f5(f9(a18,f5(x1081,a17)),a17)))),x1081)
% 1.19/1.30 [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)
% 1.19/1.30 [67]~P6(x672,x671)+~P6(x671,x672)+E(x671,x672)
% 1.19/1.30 [70]P5(x701,x702)+P5(x701,f7(x702))+~P5(x701,a17)
% 1.19/1.30 [85]P5(x852,f8(x851))+~P5(x852,a17)+E(f9(x851,f5(f23(x852,x852),a17)),a13)
% 1.19/1.30 [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)
% 1.19/1.30 [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)
% 1.19/1.30 [107]~P2(x1071)+~P5(x1072,a17)+P5(f8(f8(f10(f5(f9(x1071,f5(x1072,a17)),a17)))),a17)
% 1.19/1.30 [71]~P5(x711,x713)+P5(x711,x712)+~P6(x713,x712)
% 1.19/1.30 [75]E(x751,x752)+E(x751,x753)+~P5(x751,f23(x753,x752))
% 1.19/1.30 [79]~P5(x791,x793)+~P5(x791,x792)+P5(x791,f9(x792,x793))
% 1.19/1.30 [94]~P5(x942,x944)+~P5(x941,x943)+P5(f23(f23(x941,x941),f23(x941,f23(x942,x942))),f5(x943,x944))
% 1.19/1.30 [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))
% 1.19/1.30 [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))
% 1.19/1.30 [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)))))
% 1.19/1.30 [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))))))))
% 1.19/1.30 [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)))
% 1.19/1.30 [101]~P2(x1011)+P3(x1011,x1012,x1013)+~E(f8(f8(x1012)),f8(x1011))+~P6(f8(f8(f10(f5(x1011,a17)))),f8(f8(x1013)))
% 1.19/1.30 [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))
% 1.19/1.30 [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))))))))
% 1.19/1.30 %EqnAxiom
% 1.19/1.30 [1]E(x11,x11)
% 1.19/1.30 [2]E(x22,x21)+~E(x21,x22)
% 1.19/1.30 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.19/1.30 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 1.19/1.30 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 1.19/1.30 [6]~E(x61,x62)+E(f8(x61),f8(x62))
% 1.19/1.30 [7]~E(x71,x72)+E(f23(x71,x73),f23(x72,x73))
% 1.19/1.30 [8]~E(x81,x82)+E(f23(x83,x81),f23(x83,x82))
% 1.19/1.30 [9]~E(x91,x92)+E(f6(x91,x93),f6(x92,x93))
% 1.19/1.30 [10]~E(x101,x102)+E(f6(x103,x101),f6(x103,x102))
% 1.19/1.30 [11]~E(x111,x112)+E(f9(x111,x113),f9(x112,x113))
% 1.19/1.30 [12]~E(x121,x122)+E(f9(x123,x121),f9(x123,x122))
% 1.19/1.30 [13]~E(x131,x132)+E(f15(x131,x133,x134),f15(x132,x133,x134))
% 1.19/1.30 [14]~E(x141,x142)+E(f15(x143,x141,x144),f15(x143,x142,x144))
% 1.19/1.30 [15]~E(x151,x152)+E(f15(x153,x154,x151),f15(x153,x154,x152))
% 1.19/1.30 [16]~E(x161,x162)+E(f10(x161),f10(x162))
% 1.19/1.30 [17]~E(x171,x172)+E(f22(x171),f22(x172))
% 1.19/1.30 [18]~E(x181,x182)+E(f7(x181),f7(x182))
% 1.19/1.30 [19]~E(x191,x192)+E(f19(x191),f19(x192))
% 1.19/1.30 [20]~E(x201,x202)+E(f16(x201,x203,x204),f16(x202,x203,x204))
% 1.19/1.30 [21]~E(x211,x212)+E(f16(x213,x211,x214),f16(x213,x212,x214))
% 1.19/1.30 [22]~E(x221,x222)+E(f16(x223,x224,x221),f16(x223,x224,x222))
% 1.19/1.30 [23]~E(x231,x232)+E(f11(x231),f11(x232))
% 1.19/1.30 [24]~E(x241,x242)+E(f14(x241,x243),f14(x242,x243))
% 1.19/1.30 [25]~E(x251,x252)+E(f14(x253,x251),f14(x253,x252))
% 1.19/1.30 [26]~E(x261,x262)+E(f20(x261),f20(x262))
% 1.19/1.30 [27]~E(x271,x272)+E(f3(x271),f3(x272))
% 1.19/1.30 [28]~P1(x281)+P1(x282)+~E(x281,x282)
% 1.19/1.30 [29]~P2(x291)+P2(x292)+~E(x291,x292)
% 1.19/1.30 [30]P5(x302,x303)+~E(x301,x302)+~P5(x301,x303)
% 1.19/1.30 [31]P5(x313,x312)+~E(x311,x312)+~P5(x313,x311)
% 1.19/1.30 [32]P6(x322,x323)+~E(x321,x322)+~P6(x321,x323)
% 1.19/1.30 [33]P6(x333,x332)+~E(x331,x332)+~P6(x333,x331)
% 1.19/1.30 [34]P4(x342,x343,x344)+~E(x341,x342)+~P4(x341,x343,x344)
% 1.19/1.30 [35]P4(x353,x352,x354)+~E(x351,x352)+~P4(x353,x351,x354)
% 1.19/1.30 [36]P4(x363,x364,x362)+~E(x361,x362)+~P4(x363,x364,x361)
% 1.19/1.30 [37]~P8(x371)+P8(x372)+~E(x371,x372)
% 1.19/1.30 [38]P3(x382,x383,x384)+~E(x381,x382)+~P3(x381,x383,x384)
% 1.19/1.30 [39]P3(x393,x392,x394)+~E(x391,x392)+~P3(x393,x391,x394)
% 1.19/1.30 [40]P3(x403,x404,x402)+~E(x401,x402)+~P3(x403,x404,x401)
% 1.19/1.30 [41]~P7(x411)+P7(x412)+~E(x411,x412)
% 1.19/1.30 [42]~P9(x421)+P9(x422)+~E(x421,x422)
% 1.19/1.30
% 1.19/1.30 %-------------------------------------------
% 1.19/1.30 cnf(120,plain,
% 1.19/1.30 (E(a12,f9(f8(f10(f5(a21,a17))),a21))),
% 1.19/1.30 inference(scs_inference,[],[54,2])).
% 1.19/1.30 cnf(123,plain,
% 1.19/1.30 (~P5(a13,a17)),
% 1.19/1.30 inference(scs_inference,[],[57,54,2,63,73])).
% 1.19/1.30 cnf(128,plain,
% 1.19/1.30 (P6(f9(f8(f10(f5(a21,a17))),a21),a12)),
% 1.19/1.30 inference(scs_inference,[],[57,43,45,54,2,63,73,30,62,61])).
% 1.19/1.30 cnf(140,plain,
% 1.19/1.30 (~P5(a13,f9(f23(a13,a13),x1401))),
% 1.19/1.30 inference(scs_inference,[],[57,43,44,45,54,2,63,73,30,62,61,60,66,110,106,88,77])).
% 1.19/1.30 cnf(142,plain,
% 1.19/1.30 (~P5(a13,f9(x1421,f23(a13,a13)))),
% 1.19/1.30 inference(scs_inference,[],[57,43,44,45,54,2,63,73,30,62,61,60,66,110,106,88,77,76])).
% 1.19/1.30 cnf(148,plain,
% 1.19/1.30 (E(f3(f9(f8(f10(f5(a21,a17))),a21)),f3(a12))),
% 1.19/1.30 inference(scs_inference,[],[57,43,44,45,54,2,63,73,30,62,61,60,66,110,106,88,77,76,72,69,27])).
% 1.19/1.30 cnf(160,plain,
% 1.19/1.30 (E(f15(x1601,x1602,f9(f8(f10(f5(a21,a17))),a21)),f15(x1601,x1602,a12))),
% 1.19/1.30 inference(scs_inference,[],[57,43,44,45,54,2,63,73,30,62,61,60,66,110,106,88,77,76,72,69,27,26,25,24,23,22,21,20,19,18,17,16,15])).
% 1.19/1.30 cnf(161,plain,
% 1.19/1.30 (E(f15(x1611,f9(f8(f10(f5(a21,a17))),a21),x1612),f15(x1611,a12,x1612))),
% 1.19/1.30 inference(scs_inference,[],[57,43,44,45,54,2,63,73,30,62,61,60,66,110,106,88,77,76,72,69,27,26,25,24,23,22,21,20,19,18,17,16,15,14])).
% 1.19/1.30 cnf(174,plain,
% 1.19/1.30 (E(f9(a1,f20(a1)),a13)),
% 1.19/1.30 inference(scs_inference,[],[57,43,44,45,54,2,63,73,30,62,61,60,66,110,106,88,77,76,72,69,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,64])).
% 1.19/1.31 cnf(176,plain,
% 1.19/1.31 (~P5(f23(f23(x1761,x1761),f23(x1761,f23(a13,a13))),f5(x1762,f23(a13,a13)))),
% 1.19/1.31 inference(scs_inference,[],[57,43,44,45,54,2,63,73,30,62,61,60,66,110,106,88,77,76,72,69,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,64,98])).
% 1.19/1.31 cnf(180,plain,
% 1.19/1.31 (~P5(f23(f23(a13,a13),f23(a13,f23(f23(a13,a13),f23(a13,a13)))),a4)),
% 1.19/1.31 inference(scs_inference,[],[57,43,44,45,54,2,63,73,30,62,61,60,66,110,106,88,77,76,72,69,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,64,98,99,96])).
% 1.19/1.31 cnf(183,plain,
% 1.19/1.31 (~E(a1,f23(a13,a13))),
% 1.19/1.31 inference(scs_inference,[],[57,43,44,45,54,2,63,73,30,62,61,60,66,110,106,88,77,76,72,69,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,64,98,99,96,31,28])).
% 1.19/1.31 cnf(185,plain,
% 1.19/1.31 (~P6(a17,f7(a17))),
% 1.19/1.31 inference(scs_inference,[],[57,43,44,45,54,2,63,73,30,62,61,60,66,110,106,88,77,76,72,69,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,64,98,99,96,31,28,3,71])).
% 1.19/1.31 cnf(193,plain,
% 1.19/1.31 (~P5(a1,f23(a13,a13))),
% 1.19/1.31 inference(scs_inference,[],[57,43,44,45,54,2,63,73,30,62,61,60,66,110,106,88,77,76,72,69,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,64,98,99,96,31,28,3,71,70,107,79,75])).
% 1.19/1.31 cnf(197,plain,
% 1.19/1.31 (P5(f23(f23(a1,a1),f23(a1,f23(a1,a1))),f5(a17,a17))),
% 1.19/1.31 inference(scs_inference,[],[57,43,44,45,54,2,63,73,30,62,61,60,66,110,106,88,77,76,72,69,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,64,98,99,96,31,28,3,71,70,107,79,75,115,94])).
% 1.19/1.31 cnf(201,plain,
% 1.19/1.31 (P9(a2)),
% 1.19/1.31 inference(scs_inference,[],[57,43,44,45,54,2,63,73,30,62,61,60,66,110,106,88,77,76,72,69,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,64,98,99,96,31,28,3,71,70,107,79,75,115,94,65,97])).
% 1.19/1.31 cnf(235,plain,
% 1.19/1.31 (P5(f14(a17,f7(a17)),a17)),
% 1.19/1.31 inference(scs_inference,[],[185,78,68])).
% 1.19/1.31 cnf(237,plain,
% 1.19/1.31 (E(f23(f23(f11(f23(f23(a1,a1),f23(a1,f23(a1,a1)))),f11(f23(f23(a1,a1),f23(a1,f23(a1,a1))))),f23(f11(f23(f23(a1,a1),f23(a1,f23(a1,a1)))),f23(f22(f23(f23(a1,a1),f23(a1,f23(a1,a1)))),f22(f23(f23(a1,a1),f23(a1,f23(a1,a1))))))),f23(f23(a1,a1),f23(a1,f23(a1,a1))))),
% 1.19/1.31 inference(scs_inference,[],[197,185,78,68,93])).
% 1.19/1.31 cnf(240,plain,
% 1.19/1.31 (P5(f23(x2401,x2402),f23(f23(x2401,x2402),x2403))),
% 1.19/1.31 inference(scs_inference,[],[49,54,197,128,185,78,68,93,32,73])).
% 1.19/1.31 cnf(243,plain,
% 1.19/1.31 (P5(f23(x2431,x2432),a17)),
% 1.19/1.31 inference(rename_variables,[],[49])).
% 1.19/1.31 cnf(251,plain,
% 1.19/1.31 (~E(f7(a17),a17)),
% 1.19/1.31 inference(scs_inference,[],[49,243,44,54,176,197,128,185,78,68,93,32,73,70,107,79,61,60])).
% 1.19/1.31 cnf(256,plain,
% 1.19/1.31 (P5(a13,a1)),
% 1.19/1.31 inference(scs_inference,[],[49,243,43,44,54,176,197,120,128,185,78,68,93,32,73,70,107,79,61,60,33,94,63])).
% 1.19/1.31 cnf(258,plain,
% 1.19/1.31 (~P6(a1,f23(a13,a13))),
% 1.19/1.31 inference(scs_inference,[],[57,49,243,43,44,54,176,197,120,128,185,78,68,93,32,73,70,107,79,61,60,33,94,63,71])).
% 1.19/1.31 cnf(261,plain,
% 1.19/1.31 (~P5(f9(a1,f20(a1)),f23(a13,a13))),
% 1.19/1.31 inference(scs_inference,[],[57,49,243,43,44,54,176,197,183,120,128,174,185,78,68,93,32,73,70,107,79,61,60,33,94,63,71,2,30])).
% 1.19/1.31 cnf(265,plain,
% 1.19/1.31 (~E(a17,f5(x2651,f23(a13,a13)))),
% 1.19/1.31 inference(scs_inference,[],[57,56,49,243,43,44,54,176,197,148,183,120,128,174,185,201,78,68,93,32,73,70,107,79,61,60,33,94,63,71,2,30,3,42,31])).
% 1.19/1.31 cnf(280,plain,
% 1.19/1.31 (P6(f9(f5(a17,a17),f9(f5(a17,a17),f7(f6(f7(a4),f8(f10(f5(a4,a17))))))),a21)),
% 1.19/1.31 inference(scs_inference,[],[55,61])).
% 1.19/1.31 cnf(282,plain,
% 1.19/1.31 (P6(a21,f9(f5(a17,a17),f9(f5(a17,a17),f7(f6(f7(a4),f8(f10(f5(a4,a17))))))))),
% 1.19/1.31 inference(scs_inference,[],[55,61,60])).
% 1.19/1.31 cnf(284,plain,
% 1.19/1.31 (~E(a17,f23(a13,a13))),
% 1.19/1.31 inference(scs_inference,[],[55,46,258,61,60,33])).
% 1.19/1.31 cnf(285,plain,
% 1.19/1.31 (P6(x2851,a17)),
% 1.19/1.31 inference(rename_variables,[],[46])).
% 1.19/1.31 cnf(286,plain,
% 1.19/1.31 (~P6(a17,f5(x2861,f23(a13,a13)))),
% 1.19/1.31 inference(scs_inference,[],[55,46,285,258,265,61,60,33,67])).
% 1.19/1.31 cnf(289,plain,
% 1.19/1.31 (~P1(a17)),
% 1.19/1.31 inference(scs_inference,[],[55,46,285,123,258,265,61,60,33,67,63])).
% 1.19/1.31 cnf(291,plain,
% 1.19/1.31 (P5(f23(f11(f23(f23(a1,a1),f23(a1,f23(a1,a1)))),f11(f23(f23(a1,a1),f23(a1,f23(a1,a1))))),f23(f23(a1,a1),f23(a1,f23(a1,a1))))),
% 1.19/1.31 inference(scs_inference,[],[55,46,285,240,123,237,258,265,61,60,33,67,63,31])).
% 1.19/1.31 cnf(293,plain,
% 1.19/1.31 (~P5(f9(a1,f20(a1)),a17)),
% 1.19/1.31 inference(scs_inference,[],[55,46,285,240,123,237,258,265,174,61,60,33,67,63,31,30])).
% 1.19/1.31 cnf(294,plain,
% 1.19/1.31 (E(a21,f9(f5(a17,a17),f9(f5(a17,a17),f7(f6(f7(a4),f8(f10(f5(a4,a17))))))))),
% 1.19/1.31 inference(scs_inference,[],[55,46,285,240,123,237,258,265,174,61,60,33,67,63,31,30,2])).
% 1.19/1.31 cnf(326,plain,
% 1.19/1.31 (~P6(a17,a4)),
% 1.19/1.31 inference(scs_inference,[],[49,261,286,284,180,96,75,60,71])).
% 1.19/1.31 cnf(327,plain,
% 1.19/1.31 (P5(f23(x3271,x3272),a17)),
% 1.19/1.31 inference(rename_variables,[],[49])).
% 1.19/1.31 cnf(331,plain,
% 1.19/1.31 (~E(a17,a4)),
% 1.19/1.31 inference(scs_inference,[],[51,49,327,261,286,284,282,180,96,75,60,71,33,31])).
% 1.19/1.31 cnf(332,plain,
% 1.19/1.31 (P5(f23(x3321,x3322),a17)),
% 1.19/1.31 inference(rename_variables,[],[49])).
% 1.19/1.31 cnf(334,plain,
% 1.19/1.31 (~E(f23(x3341,x3342),f9(a1,f20(a1)))),
% 1.19/1.31 inference(scs_inference,[],[51,49,327,332,261,286,284,282,293,180,96,75,60,71,33,31,2,30])).
% 1.19/1.31 cnf(337,plain,
% 1.19/1.31 (~P5(f9(a1,f20(a1)),f5(x3371,x3372))),
% 1.19/1.31 inference(scs_inference,[],[51,49,327,332,261,286,284,282,293,180,96,75,60,71,33,31,2,30,85,93])).
% 1.19/1.31 cnf(349,plain,
% 1.19/1.31 (P6(f9(x3491,f5(x3492,x3493)),f9(f5(x3492,x3493),x3491))),
% 1.19/1.31 inference(scs_inference,[],[51,60])).
% 1.19/1.31 cnf(354,plain,
% 1.19/1.31 (~P5(f9(a1,f20(a1)),f5(x3541,x3542))),
% 1.19/1.31 inference(rename_variables,[],[337])).
% 1.19/1.31 cnf(359,plain,
% 1.19/1.31 (~E(f23(f23(a1,a1),f23(a1,f23(a1,a1))),f23(f9(a1,f20(a1)),f9(a1,f20(a1))))),
% 1.19/1.31 inference(scs_inference,[],[53,51,291,334,337,294,280,140,174,60,75,71,33,2,30,31])).
% 1.19/1.31 cnf(369,plain,
% 1.19/1.31 (~P5(f23(f23(f23(f23(x3691,x3691),f23(x3691,f23(x3692,x3692))),f23(f23(x3691,x3691),f23(x3691,f23(x3692,x3692)))),f23(f23(f23(x3691,x3691),f23(x3691,f23(x3692,x3692))),f23(a13,a13))),f10(f5(x3693,f23(a13,a13))))),
% 1.19/1.31 inference(scs_inference,[],[53,51,49,291,334,337,294,280,160,161,140,174,176,197,60,75,71,33,2,30,31,3,117,110,88,112])).
% 1.19/1.31 cnf(370,plain,
% 1.19/1.31 (~P5(f23(f23(x3701,x3701),f23(x3701,f23(a13,a13))),f5(x3702,f23(a13,a13)))),
% 1.19/1.31 inference(rename_variables,[],[176])).
% 1.19/1.31 cnf(375,plain,
% 1.19/1.31 (~P5(f9(a1,f20(a1)),f9(f5(x3751,x3752),x3753))),
% 1.19/1.31 inference(scs_inference,[],[53,51,49,291,334,337,354,294,280,160,161,140,174,176,370,197,60,75,71,33,2,30,31,3,117,110,88,112,111,77])).
% 1.19/1.31 cnf(377,plain,
% 1.19/1.31 (E(f3(a12),f3(f9(f8(f10(f5(a21,a17))),a21)))),
% 1.19/1.31 inference(scs_inference,[],[53,120,51,49,291,334,337,354,294,280,160,161,140,174,176,370,197,60,75,71,33,2,30,31,3,117,110,88,112,111,77,27])).
% 1.19/1.31 cnf(391,plain,
% 1.19/1.31 (P5(f23(x3911,x3912),f23(x3913,f23(x3911,x3912)))),
% 1.19/1.31 inference(scs_inference,[],[53,120,51,49,291,334,337,354,294,280,160,161,140,174,176,370,197,60,75,71,33,2,30,31,3,117,110,88,112,111,77,27,23,19,18,16,24,22,15,13,11,10,9,8,7,72])).
% 1.19/1.31 cnf(393,plain,
% 1.19/1.31 (~P5(f23(f23(x3931,x3931),f23(x3931,f23(f9(a1,f20(a1)),f9(a1,f20(a1))))),f5(x3932,f5(x3933,x3934)))),
% 1.19/1.31 inference(scs_inference,[],[53,120,51,49,291,334,337,354,294,280,160,161,140,174,176,370,197,60,75,71,33,2,30,31,3,117,110,88,112,111,77,27,23,19,18,16,24,22,15,13,11,10,9,8,7,72,98])).
% 1.19/1.31 cnf(395,plain,
% 1.19/1.31 (~P5(f23(f23(f9(a1,f20(a1)),f9(a1,f20(a1))),f23(f9(a1,f20(a1)),f23(x3951,x3951))),f5(f5(x3952,x3953),x3954))),
% 1.19/1.31 inference(scs_inference,[],[53,120,51,49,291,334,337,354,294,280,160,161,140,174,176,370,197,60,75,71,33,2,30,31,3,117,110,88,112,111,77,27,23,19,18,16,24,22,15,13,11,10,9,8,7,72,98,99])).
% 1.19/1.31 cnf(421,plain,
% 1.19/1.31 (~E(a1,a17)),
% 1.19/1.31 inference(scs_inference,[],[52,395,289,326,43,71,60,28])).
% 1.19/1.31 cnf(433,plain,
% 1.19/1.31 (P5(f23(x4331,x4332),f9(f23(x4333,f23(x4331,x4332)),f23(x4333,f23(x4331,x4332))))),
% 1.19/1.31 inference(scs_inference,[],[52,49,391,395,359,375,289,326,142,294,237,174,43,71,60,28,31,2,30,3,78,68,104,79])).
% 1.19/1.31 cnf(438,plain,
% 1.19/1.31 (P5(f23(x4381,x4382),a17)),
% 1.19/1.31 inference(rename_variables,[],[49])).
% 1.19/1.31 cnf(440,plain,
% 1.19/1.31 (P5(f23(f23(f23(x4401,x4402),f23(x4401,x4402)),f23(f23(x4401,x4402),f23(f23(x4401,x4402),f23(x4401,x4402)))),f5(a17,a17))),
% 1.19/1.31 inference(scs_inference,[],[44,52,49,438,391,369,235,395,359,375,289,326,142,294,237,174,43,71,60,28,31,2,30,3,78,68,104,79,107,70,94])).
% 1.19/1.31 cnf(456,plain,
% 1.19/1.31 (P5(f23(x4561,x4562),a17)),
% 1.19/1.31 inference(rename_variables,[],[49])).
% 1.19/1.31 cnf(470,plain,
% 1.19/1.31 (P6(x4701,a17)),
% 1.19/1.31 inference(rename_variables,[],[46])).
% 1.19/1.31 cnf(475,plain,
% 1.19/1.31 (P5(f23(x4751,x4752),a17)),
% 1.19/1.31 inference(rename_variables,[],[49])).
% 1.19/1.31 cnf(477,plain,
% 1.19/1.31 (E(f9(f8(x4771),f7(f8(f9(f6(f8(f10(f5(a4,a17))),x4771),a12)))),f3(x4771))),
% 1.19/1.31 inference(rename_variables,[],[56])).
% 1.19/1.31 cnf(479,plain,
% 1.19/1.31 (~E(f23(x4791,x4792),a13)),
% 1.19/1.31 inference(scs_inference,[],[45,56,477,123,46,470,51,49,456,475,433,349,440,331,393,377,421,193,93,70,79,32,75,71,60,67,33,31,3,2,30])).
% 1.19/1.31 cnf(502,plain,
% 1.19/1.31 ($false),
% 1.19/1.31 inference(scs_inference,[],[123,46,251,479,256,93,75,71]),
% 1.19/1.31 ['proof']).
% 1.19/1.31 % SZS output end Proof
% 1.19/1.31 % Total time :0.600000s
%------------------------------------------------------------------------------