TSTP Solution File: SET054-7 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET054-7 : 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 : n021.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 14:28:14 EDT 2023
% Result : Unsatisfiable 0.19s 0.70s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET054-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 11:04:42 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.19/0.59 start to proof:theBenchmark
% 0.19/0.69 %-------------------------------------------
% 0.19/0.69 % File :CSE---1.6
% 0.19/0.69 % Problem :theBenchmark
% 0.19/0.69 % Transform :cnf
% 0.19/0.69 % Format :tptp:raw
% 0.19/0.69 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.69
% 0.19/0.69 % Result :Theorem 0.030000s
% 0.19/0.69 % Output :CNFRefutation 0.030000s
% 0.19/0.69 %-------------------------------------------
% 0.19/0.70 %--------------------------------------------------------------------------
% 0.19/0.70 % File : SET054-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.19/0.70 % Domain : Set Theory
% 0.19/0.70 % Problem : Subclass is reflexive
% 0.19/0.70 % Version : [Qua92] axioms : Augmented.
% 0.19/0.70 % English :
% 0.19/0.70
% 0.19/0.70 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 0.19/0.70 % Source : [Quaife]
% 0.19/0.70 % Names : PO1 [Qua92]
% 0.19/0.70
% 0.19/0.70 % Status : Unsatisfiable
% 0.19/0.70 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.00 v5.5.0, 0.05 v5.3.0, 0.06 v5.0.0, 0.07 v4.1.0, 0.08 v4.0.1, 0.09 v4.0.0, 0.18 v3.7.0, 0.20 v3.5.0, 0.18 v3.4.0, 0.08 v3.3.0, 0.00 v2.1.0
% 0.19/0.70 % Syntax : Number of clauses : 96 ( 30 unt; 8 nHn; 67 RR)
% 0.19/0.70 % Number of literals : 190 ( 39 equ; 89 neg)
% 0.19/0.70 % Maximal clause size : 5 ( 1 avg)
% 0.19/0.70 % Maximal term depth : 6 ( 1 avg)
% 0.19/0.70 % Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% 0.19/0.70 % Number of functors : 39 ( 39 usr; 9 con; 0-3 aty)
% 0.19/0.70 % Number of variables : 192 ( 35 sgn)
% 0.19/0.70 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.19/0.70
% 0.19/0.70 % Comments : Preceding lemmas are added.
% 0.19/0.70 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 0.19/0.70 %--------------------------------------------------------------------------
% 0.19/0.70 %----Include von Neuman-Bernays-Godel set theory axioms
% 0.19/0.70 include('Axioms/SET004-0.ax').
% 0.19/0.70 %--------------------------------------------------------------------------
% 0.19/0.70 %----Corollaries to Unordered pair axiom. Not in paper, but in email.
% 0.19/0.70 cnf(corollary_1_to_unordered_pair,axiom,
% 0.19/0.70 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 0.19/0.70 | member(X,unordered_pair(X,Y)) ) ).
% 0.19/0.70
% 0.19/0.70 cnf(corollary_2_to_unordered_pair,axiom,
% 0.19/0.70 ( ~ member(ordered_pair(X,Y),cross_product(U,V))
% 0.19/0.70 | member(Y,unordered_pair(X,Y)) ) ).
% 0.19/0.70
% 0.19/0.70 %----Corollaries to Cartesian product axiom.
% 0.19/0.70 cnf(corollary_1_to_cartesian_product,axiom,
% 0.19/0.70 ( ~ member(ordered_pair(U,V),cross_product(X,Y))
% 0.19/0.70 | member(U,universal_class) ) ).
% 0.19/0.70
% 0.19/0.70 cnf(corollary_2_to_cartesian_product,axiom,
% 0.19/0.70 ( ~ member(ordered_pair(U,V),cross_product(X,Y))
% 0.19/0.70 | member(V,universal_class) ) ).
% 0.19/0.70
% 0.19/0.70 cnf(prove_subclass_is_reflexive_1,negated_conjecture,
% 0.19/0.70 ~ subclass(x,x) ).
% 0.19/0.70
% 0.19/0.70 %--------------------------------------------------------------------------
% 0.19/0.70 %-------------------------------------------
% 0.19/0.70 % Proof found
% 0.19/0.70 % SZS status Theorem for theBenchmark
% 0.19/0.70 % SZS output start Proof
% 0.19/0.70 %ClaNum:123(EqnAxiom:42)
% 0.19/0.70 %VarNum:754(SingletonVarNum:166)
% 0.19/0.70 %MaxLitNum:5
% 0.19/0.70 %MaxfuncDepth:24
% 0.19/0.70 %SharedTerms:31
% 0.19/0.70 %goalClause: 57
% 0.19/0.70 %singleGoalClaCount:1
% 0.19/0.70 [43]P1(a1)
% 0.19/0.70 [44]P2(a2)
% 0.19/0.70 [45]P5(a1,a17)
% 0.19/0.70 [57]~P6(a24,a24)
% 0.19/0.70 [47]P6(a4,f5(a17,a17))
% 0.19/0.70 [48]P6(a18,f5(a17,a17))
% 0.19/0.70 [54]E(f9(f8(f10(f5(a21,a17))),a21),a12)
% 0.19/0.70 [55]E(f9(f5(a17,a17),f9(f5(a17,a17),f7(f6(f7(a4),f8(f10(f5(a4,a17))))))),a21)
% 0.19/0.70 [46]P6(x461,a17)
% 0.19/0.70 [52]P6(f19(x521),f5(f5(a17,a17),a17))
% 0.19/0.70 [53]P6(f10(x531),f5(f5(a17,a17),a17))
% 0.19/0.70 [56]E(f9(f8(x561),f7(f8(f9(f6(f8(f10(f5(a4,a17))),x561),a12)))),f3(x561))
% 0.19/0.70 [49]P5(f23(x491,x492),a17)
% 0.19/0.70 [50]P6(f6(x501,x502),f5(a17,a17))
% 0.19/0.70 [51]E(f9(f5(x511,x512),x513),f9(x513,f5(x511,x512)))
% 0.19/0.70 [58]~P7(x581)+P2(x581)
% 0.19/0.70 [59]~P8(x591)+P2(x591)
% 0.19/0.70 [62]~P1(x621)+P6(a1,x621)
% 0.19/0.70 [63]~P1(x631)+P5(a13,x631)
% 0.19/0.70 [65]P5(f20(x651),x651)+E(x651,a13)
% 0.19/0.70 [66]~P2(x661)+P6(x661,f5(a17,a17))
% 0.19/0.70 [64]E(x641,a13)+E(f9(x641,f20(x641)),a13)
% 0.19/0.70 [74]~P8(x741)+E(f5(f8(f8(x741)),f8(f8(x741))),f8(x741))
% 0.19/0.70 [84]~P7(x841)+P2(f8(f10(f5(x841,a17))))
% 0.19/0.70 [88]~P5(x881,a17)+P5(f8(f9(a4,f5(a17,x881))),a17)
% 0.19/0.70 [90]~P9(x901)+P6(f6(x901,f8(f10(f5(x901,a17)))),a12)
% 0.19/0.70 [91]~P2(x911)+P6(f6(x911,f8(f10(f5(x911,a17)))),a12)
% 0.19/0.70 [92]~P8(x921)+P6(f8(f8(f10(f5(x921,a17)))),f8(f8(x921)))
% 0.19/0.70 [97]P9(x971)+~P6(f6(x971,f8(f10(f5(x971,a17)))),a12)
% 0.19/0.70 [110]~P1(x1101)+P6(f8(f8(f10(f5(f9(a18,f5(x1101,a17)),a17)))),x1101)
% 0.19/0.70 [114]~P5(x1141,a17)+P5(f7(f8(f8(f10(f5(f9(a4,f5(f7(x1141),a17)),a17))))),a17)
% 0.19/0.70 [60]~E(x602,x601)+P6(x601,x602)
% 0.19/0.70 [61]~E(x611,x612)+P6(x611,x612)
% 0.19/0.70 [68]P6(x681,x682)+P5(f14(x681,x682),x681)
% 0.19/0.70 [69]~P5(x691,x692)+~P5(x691,f7(x692))
% 0.19/0.70 [72]~P5(x721,a17)+P5(x721,f23(x722,x721))
% 0.19/0.70 [73]~P5(x731,a17)+P5(x731,f23(x731,x732))
% 0.19/0.70 [78]P6(x781,x782)+~P5(f14(x781,x782),x782)
% 0.19/0.70 [87]~P5(x872,f8(x871))+~E(f9(x871,f5(f23(x872,x872),a17)),a13)
% 0.19/0.70 [96]P5(x961,x962)+~P5(f23(f23(x961,x961),f23(x961,f23(x962,x962))),a4)
% 0.19/0.70 [107]~P5(f23(f23(x1071,x1071),f23(x1071,f23(x1072,x1072))),a18)+E(f7(f9(f7(x1071),f7(f23(x1071,x1071)))),x1072)
% 0.19/0.70 [80]P2(x801)+~P3(x801,x802,x803)
% 0.19/0.70 [81]P8(x811)+~P4(x812,x813,x811)
% 0.19/0.70 [82]P8(x821)+~P4(x822,x821,x823)
% 0.19/0.70 [86]~P4(x861,x862,x863)+P3(x861,x862,x863)
% 0.19/0.70 [76]P5(x761,x762)+~P5(x761,f9(x763,x762))
% 0.19/0.70 [77]P5(x771,x772)+~P5(x771,f9(x772,x773))
% 0.19/0.71 [83]~P3(x832,x831,x833)+E(f8(f8(x831)),f8(x832))
% 0.19/0.71 [93]~P5(x931,f5(x932,x933))+E(f23(f23(f11(x931),f11(x931)),f23(f11(x931),f23(f22(x931),f22(x931)))),x931)
% 0.19/0.71 [95]~P3(x951,x953,x952)+P6(f8(f8(f10(f5(x951,a17)))),f8(f8(x952)))
% 0.19/0.71 [98]P5(x981,a17)+~P5(f23(f23(x982,x982),f23(x982,f23(x981,x981))),f5(x983,x984))
% 0.19/0.71 [99]P5(x991,a17)+~P5(f23(f23(x991,x991),f23(x991,f23(x992,x992))),f5(x993,x994))
% 0.19/0.71 [100]P5(x1001,x1002)+~P5(f23(f23(x1003,x1003),f23(x1003,f23(x1001,x1001))),f5(x1004,x1002))
% 0.19/0.71 [101]P5(x1011,x1012)+~P5(f23(f23(x1011,x1011),f23(x1011,f23(x1013,x1013))),f5(x1012,x1014))
% 0.19/0.71 [103]P5(x1031,f23(x1032,x1031))+~P5(f23(f23(x1032,x1032),f23(x1032,f23(x1031,x1031))),f5(x1033,x1034))
% 0.19/0.71 [104]P5(x1041,f23(x1041,x1042))+~P5(f23(f23(x1041,x1041),f23(x1041,f23(x1042,x1042))),f5(x1043,x1044))
% 0.19/0.71 [115]~P5(f23(f23(f23(f23(x1153,x1153),f23(x1153,f23(x1151,x1151))),f23(f23(x1153,x1153),f23(x1153,f23(x1151,x1151)))),f23(f23(f23(x1153,x1153),f23(x1153,f23(x1151,x1151))),f23(x1152,x1152))),f19(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))),x1154)
% 0.19/0.71 [116]~P5(f23(f23(f23(f23(x1162,x1162),f23(x1162,f23(x1161,x1161))),f23(f23(x1162,x1162),f23(x1162,f23(x1161,x1161)))),f23(f23(f23(x1162,x1162),f23(x1162,f23(x1161,x1161))),f23(x1163,x1163))),f10(x1164))+P5(f23(f23(f23(f23(x1161,x1161),f23(x1161,f23(x1162,x1162))),f23(f23(x1161,x1161),f23(x1161,f23(x1162,x1162)))),f23(f23(f23(x1161,x1161),f23(x1161,f23(x1162,x1162))),f23(x1163,x1163))),x1164)
% 0.19/0.71 [120]~P5(f23(f23(x1204,x1204),f23(x1204,f23(x1201,x1201))),f6(x1202,x1203))+P5(x1201,f8(f8(f10(f5(f9(x1202,f5(f8(f8(f10(f5(f9(x1203,f5(f23(x1204,x1204),a17)),a17)))),a17)),a17)))))
% 0.19/0.71 [89]~P2(x891)+P7(x891)+~P2(f8(f10(f5(x891,a17))))
% 0.19/0.71 [102]P2(x1021)+~P6(x1021,f5(a17,a17))+~P6(f6(x1021,f8(f10(f5(x1021,a17)))),a12)
% 0.19/0.71 [112]P1(x1121)+~P5(a13,x1121)+~P6(f8(f8(f10(f5(f9(a18,f5(x1121,a17)),a17)))),x1121)
% 0.19/0.71 [119]~P5(x1191,a17)+E(x1191,a13)+P5(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(a2,f5(f23(x1191,x1191),a17)),a17))))))),x1191)
% 0.19/0.71 [67]~P6(x672,x671)+~P6(x671,x672)+E(x671,x672)
% 0.19/0.71 [70]P5(x701,x702)+P5(x701,f7(x702))+~P5(x701,a17)
% 0.19/0.71 [85]P5(x852,f8(x851))+~P5(x852,a17)+E(f9(x851,f5(f23(x852,x852),a17)),a13)
% 0.19/0.71 [108]~P5(x1081,x1082)+~P5(f23(f23(x1081,x1081),f23(x1081,f23(x1082,x1082))),f5(a17,a17))+P5(f23(f23(x1081,x1081),f23(x1081,f23(x1082,x1082))),a4)
% 0.19/0.71 [109]~P5(f23(f23(x1091,x1091),f23(x1091,f23(x1092,x1092))),f5(a17,a17))+~E(f7(f9(f7(x1091),f7(f23(x1091,x1091)))),x1092)+P5(f23(f23(x1091,x1091),f23(x1091,f23(x1092,x1092))),a18)
% 0.19/0.71 [111]~P2(x1111)+~P5(x1112,a17)+P5(f8(f8(f10(f5(f9(x1111,f5(x1112,a17)),a17)))),a17)
% 0.19/0.71 [71]~P5(x711,x713)+P5(x711,x712)+~P6(x713,x712)
% 0.19/0.71 [75]E(x751,x752)+E(x751,x753)+~P5(x751,f23(x753,x752))
% 0.19/0.71 [79]~P5(x791,x793)+~P5(x791,x792)+P5(x791,f9(x792,x793))
% 0.19/0.71 [94]~P5(x942,x944)+~P5(x941,x943)+P5(f23(f23(x941,x941),f23(x941,f23(x942,x942))),f5(x943,x944))
% 0.19/0.71 [117]~P5(f23(f23(f23(f23(x1172,x1172),f23(x1172,f23(x1173,x1173))),f23(f23(x1172,x1172),f23(x1172,f23(x1173,x1173)))),f23(f23(f23(x1172,x1172),f23(x1172,f23(x1173,x1173))),f23(x1171,x1171))),x1174)+P5(f23(f23(f23(f23(x1171,x1171),f23(x1171,f23(x1172,x1172))),f23(f23(x1171,x1171),f23(x1171,f23(x1172,x1172)))),f23(f23(f23(x1171,x1171),f23(x1171,f23(x1172,x1172))),f23(x1173,x1173))),f19(x1174))+~P5(f23(f23(f23(f23(x1171,x1171),f23(x1171,f23(x1172,x1172))),f23(f23(x1171,x1171),f23(x1171,f23(x1172,x1172)))),f23(f23(f23(x1171,x1171),f23(x1171,f23(x1172,x1172))),f23(x1173,x1173))),f5(f5(a17,a17),a17))
% 0.19/0.71 [118]~P5(f23(f23(f23(f23(x1182,x1182),f23(x1182,f23(x1181,x1181))),f23(f23(x1182,x1182),f23(x1182,f23(x1181,x1181)))),f23(f23(f23(x1182,x1182),f23(x1182,f23(x1181,x1181))),f23(x1183,x1183))),x1184)+P5(f23(f23(f23(f23(x1181,x1181),f23(x1181,f23(x1182,x1182))),f23(f23(x1181,x1181),f23(x1181,f23(x1182,x1182)))),f23(f23(f23(x1181,x1181),f23(x1181,f23(x1182,x1182))),f23(x1183,x1183))),f10(x1184))+~P5(f23(f23(f23(f23(x1181,x1181),f23(x1181,f23(x1182,x1182))),f23(f23(x1181,x1181),f23(x1181,f23(x1182,x1182)))),f23(f23(f23(x1181,x1181),f23(x1181,f23(x1182,x1182))),f23(x1183,x1183))),f5(f5(a17,a17),a17))
% 0.19/0.71 [121]P5(f23(f23(x1211,x1211),f23(x1211,f23(x1212,x1212))),f6(x1213,x1214))+~P5(f23(f23(x1211,x1211),f23(x1211,f23(x1212,x1212))),f5(a17,a17))+~P5(x1212,f8(f8(f10(f5(f9(x1213,f5(f8(f8(f10(f5(f9(x1214,f5(f23(x1211,x1211),a17)),a17)))),a17)),a17)))))
% 0.19/0.71 [122]~P4(x1222,x1225,x1221)+~P5(f23(f23(x1223,x1223),f23(x1223,f23(x1224,x1224))),f8(x1225))+E(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1221,f5(f23(f23(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1222,f5(f23(x1223,x1223),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1222,f5(f23(x1223,x1223),a17)),a17)))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1222,f5(f23(x1223,x1223),a17)),a17))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1222,f5(f23(x1224,x1224),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1222,f5(f23(x1224,x1224),a17)),a17)))))))))),f23(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1222,f5(f23(x1223,x1223),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1222,f5(f23(x1223,x1223),a17)),a17)))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1222,f5(f23(x1223,x1223),a17)),a17))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1222,f5(f23(x1224,x1224),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1222,f5(f23(x1224,x1224),a17)),a17))))))))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1222,f5(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1225,f5(f23(f23(f23(x1223,x1223),f23(x1223,f23(x1224,x1224))),f23(f23(x1223,x1223),f23(x1223,f23(x1224,x1224)))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1225,f5(f23(f23(f23(x1223,x1223),f23(x1223,f23(x1224,x1224))),f23(f23(x1223,x1223),f23(x1223,f23(x1224,x1224)))),a17)),a17)))))))),a17)),a17))))))))
% 0.19/0.71 [106]~P2(x1061)+P8(x1061)+~E(f5(f8(f8(x1061)),f8(f8(x1061))),f8(x1061))+~P6(f8(f8(f10(f5(x1061,a17)))),f8(f8(x1061)))
% 0.19/0.71 [105]~P2(x1051)+P3(x1051,x1052,x1053)+~E(f8(f8(x1052)),f8(x1051))+~P6(f8(f8(f10(f5(x1051,a17)))),f8(f8(x1053)))
% 0.19/0.71 [113]~P8(x1133)+~P8(x1132)+~P3(x1131,x1132,x1133)+P4(x1131,x1132,x1133)+P5(f23(f23(f15(x1131,x1132,x1133),f15(x1131,x1132,x1133)),f23(f15(x1131,x1132,x1133),f23(f16(x1131,x1132,x1133),f16(x1131,x1132,x1133)))),f8(x1132))
% 0.19/0.71 [123]~P8(x1233)+~P8(x1232)+~P3(x1231,x1232,x1233)+P4(x1231,x1232,x1233)+~E(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1233,f5(f23(f23(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1231,f5(f23(f15(x1231,x1232,x1233),f15(x1231,x1232,x1233)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1231,f5(f23(f15(x1231,x1232,x1233),f15(x1231,x1232,x1233)),a17)),a17)))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1231,f5(f23(f15(x1231,x1232,x1233),f15(x1231,x1232,x1233)),a17)),a17))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1231,f5(f23(f16(x1231,x1232,x1233),f16(x1231,x1232,x1233)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1231,f5(f23(f16(x1231,x1232,x1233),f16(x1231,x1232,x1233)),a17)),a17)))))))))),f23(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1231,f5(f23(f15(x1231,x1232,x1233),f15(x1231,x1232,x1233)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1231,f5(f23(f15(x1231,x1232,x1233),f15(x1231,x1232,x1233)),a17)),a17)))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1231,f5(f23(f15(x1231,x1232,x1233),f15(x1231,x1232,x1233)),a17)),a17))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1231,f5(f23(f16(x1231,x1232,x1233),f16(x1231,x1232,x1233)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1231,f5(f23(f16(x1231,x1232,x1233),f16(x1231,x1232,x1233)),a17)),a17))))))))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1231,f5(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1232,f5(f23(f23(f23(f15(x1231,x1232,x1233),f15(x1231,x1232,x1233)),f23(f15(x1231,x1232,x1233),f23(f16(x1231,x1232,x1233),f16(x1231,x1232,x1233)))),f23(f23(f15(x1231,x1232,x1233),f15(x1231,x1232,x1233)),f23(f15(x1231,x1232,x1233),f23(f16(x1231,x1232,x1233),f16(x1231,x1232,x1233))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1232,f5(f23(f23(f23(f15(x1231,x1232,x1233),f15(x1231,x1232,x1233)),f23(f15(x1231,x1232,x1233),f23(f16(x1231,x1232,x1233),f16(x1231,x1232,x1233)))),f23(f23(f15(x1231,x1232,x1233),f15(x1231,x1232,x1233)),f23(f15(x1231,x1232,x1233),f23(f16(x1231,x1232,x1233),f16(x1231,x1232,x1233))))),a17)),a17)))))))),a17)),a17))))))))
% 0.19/0.71 %EqnAxiom
% 0.19/0.71 [1]E(x11,x11)
% 0.19/0.71 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.71 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.71 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 0.19/0.71 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 0.19/0.71 [6]~E(x61,x62)+E(f8(x61),f8(x62))
% 0.19/0.71 [7]~E(x71,x72)+E(f23(x71,x73),f23(x72,x73))
% 0.19/0.71 [8]~E(x81,x82)+E(f23(x83,x81),f23(x83,x82))
% 0.19/0.71 [9]~E(x91,x92)+E(f6(x91,x93),f6(x92,x93))
% 0.19/0.71 [10]~E(x101,x102)+E(f6(x103,x101),f6(x103,x102))
% 0.19/0.71 [11]~E(x111,x112)+E(f9(x111,x113),f9(x112,x113))
% 0.19/0.71 [12]~E(x121,x122)+E(f9(x123,x121),f9(x123,x122))
% 0.19/0.71 [13]~E(x131,x132)+E(f10(x131),f10(x132))
% 0.19/0.71 [14]~E(x141,x142)+E(f15(x141,x143,x144),f15(x142,x143,x144))
% 0.19/0.71 [15]~E(x151,x152)+E(f15(x153,x151,x154),f15(x153,x152,x154))
% 0.19/0.71 [16]~E(x161,x162)+E(f15(x163,x164,x161),f15(x163,x164,x162))
% 0.19/0.71 [17]~E(x171,x172)+E(f16(x171,x173,x174),f16(x172,x173,x174))
% 0.19/0.71 [18]~E(x181,x182)+E(f16(x183,x181,x184),f16(x183,x182,x184))
% 0.19/0.71 [19]~E(x191,x192)+E(f16(x193,x194,x191),f16(x193,x194,x192))
% 0.19/0.71 [20]~E(x201,x202)+E(f7(x201),f7(x202))
% 0.19/0.71 [21]~E(x211,x212)+E(f19(x211),f19(x212))
% 0.19/0.71 [22]~E(x221,x222)+E(f11(x221),f11(x222))
% 0.19/0.71 [23]~E(x231,x232)+E(f22(x231),f22(x232))
% 0.19/0.71 [24]~E(x241,x242)+E(f14(x241,x243),f14(x242,x243))
% 0.19/0.71 [25]~E(x251,x252)+E(f14(x253,x251),f14(x253,x252))
% 0.19/0.71 [26]~E(x261,x262)+E(f20(x261),f20(x262))
% 0.19/0.71 [27]~E(x271,x272)+E(f3(x271),f3(x272))
% 0.19/0.71 [28]~P1(x281)+P1(x282)+~E(x281,x282)
% 0.19/0.71 [29]~P2(x291)+P2(x292)+~E(x291,x292)
% 0.19/0.71 [30]P5(x302,x303)+~E(x301,x302)+~P5(x301,x303)
% 0.19/0.71 [31]P5(x313,x312)+~E(x311,x312)+~P5(x313,x311)
% 0.19/0.71 [32]P6(x322,x323)+~E(x321,x322)+~P6(x321,x323)
% 0.19/0.71 [33]P6(x333,x332)+~E(x331,x332)+~P6(x333,x331)
% 0.19/0.71 [34]P3(x342,x343,x344)+~E(x341,x342)+~P3(x341,x343,x344)
% 0.19/0.71 [35]P3(x353,x352,x354)+~E(x351,x352)+~P3(x353,x351,x354)
% 0.19/0.71 [36]P3(x363,x364,x362)+~E(x361,x362)+~P3(x363,x364,x361)
% 0.19/0.71 [37]P4(x372,x373,x374)+~E(x371,x372)+~P4(x371,x373,x374)
% 0.19/0.71 [38]P4(x383,x382,x384)+~E(x381,x382)+~P4(x383,x381,x384)
% 0.19/0.71 [39]P4(x393,x394,x392)+~E(x391,x392)+~P4(x393,x394,x391)
% 0.19/0.71 [40]~P8(x401)+P8(x402)+~E(x401,x402)
% 0.19/0.71 [41]~P7(x411)+P7(x412)+~E(x411,x412)
% 0.19/0.71 [42]~P9(x421)+P9(x422)+~E(x421,x422)
% 0.19/0.71
% 0.19/0.71 %-------------------------------------------
% 0.19/0.71 cnf(176,plain,
% 0.19/0.71 ($false),
% 0.19/0.71 inference(scs_inference,[],[57,46,43,44,45,54,2,61,60,33,63,62,66,114,110,88,73,72,69,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,91,78,68]),
% 0.19/0.71 ['proof']).
% 0.19/0.71 % SZS output end Proof
% 0.19/0.71 % Total time :0.030000s
%------------------------------------------------------------------------------