TSTP Solution File: SET123-6 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET123-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n016.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 14:28:53 EDT 2023
% Result : Unsatisfiable 0.87s 0.91s
% Output : CNFRefutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET123-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 13:58:57 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.87/0.91 %-------------------------------------------
% 0.87/0.91 % File :CSE---1.6
% 0.87/0.91 % Problem :theBenchmark
% 0.87/0.91 % Transform :cnf
% 0.87/0.91 % Format :tptp:raw
% 0.87/0.91 % Command :java -jar mcs_scs.jar %d %s
% 0.87/0.91
% 0.87/0.91 % Result :Theorem 0.270000s
% 0.87/0.91 % Output :CNFRefutation 0.270000s
% 0.87/0.91 %-------------------------------------------
% 0.87/0.91 %--------------------------------------------------------------------------
% 0.87/0.91 % File : SET123-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.87/0.91 % Domain : Set Theory
% 0.87/0.91 % Problem : Alternative definition of set builder, part 1
% 0.87/0.91 % Version : [Qua92] axioms.
% 0.87/0.91 % English :
% 0.87/0.91
% 0.87/0.91 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 0.87/0.91 % Source : [Quaife]
% 0.87/0.91 % Names : SB2.1 [Qua92]
% 0.87/0.91
% 0.87/0.91 % Status : Unsatisfiable
% 0.87/0.91 % Rating : 0.24 v8.1.0, 0.26 v7.5.0, 0.37 v7.4.0, 0.35 v7.3.0, 0.33 v7.0.0, 0.47 v6.3.0, 0.27 v6.2.0, 0.30 v6.1.0, 0.43 v6.0.0, 0.30 v5.5.0, 0.70 v5.4.0, 0.75 v5.3.0, 0.78 v5.2.0, 0.62 v5.1.0, 0.71 v5.0.0, 0.79 v4.1.0, 0.77 v4.0.1, 0.82 v4.0.0, 0.73 v3.7.0, 0.60 v3.5.0, 0.64 v3.4.0, 0.75 v3.3.0, 0.71 v3.2.0, 0.77 v3.1.0, 0.73 v2.7.0, 0.75 v2.6.0, 0.56 v2.5.0, 0.82 v2.4.0, 0.88 v2.3.0, 1.00 v2.1.0
% 0.87/0.91 % Syntax : Number of clauses : 95 ( 33 unt; 8 nHn; 65 RR)
% 0.87/0.91 % Number of literals : 185 ( 41 equ; 86 neg)
% 0.87/0.91 % Maximal clause size : 5 ( 1 avg)
% 0.87/0.91 % Maximal term depth : 6 ( 1 avg)
% 0.87/0.91 % Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% 0.87/0.91 % Number of functors : 42 ( 42 usr; 11 con; 0-3 aty)
% 0.87/0.91 % Number of variables : 178 ( 25 sgn)
% 0.87/0.91 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.87/0.91
% 0.87/0.91 % Comments : The 'set builder' problems, of which this is one, do not appear
% 0.87/0.91 % in [Qua92]. In Quaife's development, these problems appear
% 0.87/0.91 % between the SINGLETON and the ORDERED PAIRS problems of [Qu92].
% 0.87/0.91 % However, in order to correspond to the paper, these theorems
% 0.87/0.91 % have not been used in the augmented versions of the subsequent
% 0.87/0.91 % problems in [Qua92].
% 0.87/0.91 % : Not in [Qua92].
% 0.87/0.91 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 0.87/0.91 %--------------------------------------------------------------------------
% 0.87/0.91 %----Include von Neuman-Bernays-Godel set theory axioms
% 0.87/0.91 include('Axioms/SET004-0.ax').
% 0.87/0.91 %--------------------------------------------------------------------------
% 0.87/0.91 %----(SBDEF1): definition of set builder.
% 0.87/0.91 cnf(definition_of_set_builder,axiom,
% 0.87/0.91 union(singleton(X),Y) = set_builder(X,Y) ).
% 0.87/0.91
% 0.87/0.91 cnf(prove_set_builder_alternate_defn1_1,negated_conjecture,
% 0.87/0.91 member(x,set_builder(y,z)) ).
% 0.87/0.91
% 0.87/0.91 cnf(prove_set_builder_alternate_defn1_2,negated_conjecture,
% 0.87/0.91 x != y ).
% 0.87/0.91
% 0.87/0.91 cnf(prove_set_builder_alternate_defn1_3,negated_conjecture,
% 0.87/0.91 ~ member(x,z) ).
% 0.87/0.91
% 0.87/0.91 %--------------------------------------------------------------------------
% 0.87/0.91 %-------------------------------------------
% 0.87/0.91 % Proof found
% 0.87/0.91 % SZS status Theorem for theBenchmark
% 0.87/0.91 % SZS output start Proof
% 0.87/0.92 %ClaNum:121(EqnAxiom:42)
% 0.87/0.92 %VarNum:718(SingletonVarNum:150)
% 0.87/0.92 %MaxLitNum:5
% 0.87/0.92 %MaxfuncDepth:24
% 0.87/0.92 %SharedTerms:40
% 0.87/0.92 %goalClause: 55 58 59
% 0.87/0.92 %singleGoalClaCount:3
% 0.87/0.92 [43]P1(a1)
% 0.87/0.92 [44]P2(a2)
% 0.87/0.92 [45]P5(a1,a17)
% 0.87/0.92 [58]~E(a25,a24)
% 0.87/0.92 [59]~P5(a24,a26)
% 0.87/0.92 [47]P6(a4,f5(a17,a17))
% 0.87/0.92 [48]P6(a18,f5(a17,a17))
% 0.87/0.92 [55]P5(a24,f7(f9(f7(f23(a25,a25)),f7(a26))))
% 0.87/0.92 [54]E(f9(f8(f10(f5(a21,a17))),a21),a12)
% 0.87/0.92 [56]E(f9(f5(a17,a17),f9(f5(a17,a17),f7(f6(f7(a4),f8(f10(f5(a4,a17))))))),a21)
% 0.87/0.92 [46]P6(x461,a17)
% 0.87/0.92 [52]P6(f19(x521),f5(f5(a17,a17),a17))
% 0.87/0.92 [53]P6(f10(x531),f5(f5(a17,a17),a17))
% 0.87/0.92 [57]E(f9(f8(x571),f7(f8(f9(f6(f8(f10(f5(a4,a17))),x571),a12)))),f3(x571))
% 0.87/0.92 [49]P5(f23(x491,x492),a17)
% 0.87/0.92 [50]P6(f6(x501,x502),f5(a17,a17))
% 0.87/0.92 [51]E(f9(f5(x511,x512),x513),f9(x513,f5(x511,x512)))
% 0.87/0.92 [60]~P7(x601)+P2(x601)
% 0.87/0.92 [61]~P8(x611)+P2(x611)
% 0.87/0.92 [64]~P1(x641)+P6(a1,x641)
% 0.87/0.92 [65]~P1(x651)+P5(a13,x651)
% 0.87/0.92 [67]P5(f20(x671),x671)+E(x671,a13)
% 0.87/0.92 [68]~P2(x681)+P6(x681,f5(a17,a17))
% 0.87/0.92 [66]E(x661,a13)+E(f9(x661,f20(x661)),a13)
% 0.87/0.92 [76]~P8(x761)+E(f5(f8(f8(x761)),f8(f8(x761))),f8(x761))
% 0.87/0.92 [86]~P7(x861)+P2(f8(f10(f5(x861,a17))))
% 0.87/0.92 [90]~P5(x901,a17)+P5(f8(f9(a4,f5(a17,x901))),a17)
% 0.87/0.92 [92]~P9(x921)+P6(f6(x921,f8(f10(f5(x921,a17)))),a12)
% 0.87/0.92 [93]~P2(x931)+P6(f6(x931,f8(f10(f5(x931,a17)))),a12)
% 0.87/0.92 [94]~P8(x941)+P6(f8(f8(f10(f5(x941,a17)))),f8(f8(x941)))
% 0.87/0.92 [99]P9(x991)+~P6(f6(x991,f8(f10(f5(x991,a17)))),a12)
% 0.87/0.92 [108]~P1(x1081)+P6(f8(f8(f10(f5(f9(a18,f5(x1081,a17)),a17)))),x1081)
% 0.87/0.92 [112]~P5(x1121,a17)+P5(f7(f8(f8(f10(f5(f9(a4,f5(f7(x1121),a17)),a17))))),a17)
% 0.87/0.92 [62]~E(x622,x621)+P6(x621,x622)
% 0.87/0.92 [63]~E(x631,x632)+P6(x631,x632)
% 0.87/0.92 [70]P6(x701,x702)+P5(f14(x701,x702),x701)
% 0.87/0.92 [71]~P5(x711,x712)+~P5(x711,f7(x712))
% 0.87/0.92 [74]~P5(x741,a17)+P5(x741,f23(x742,x741))
% 0.87/0.92 [75]~P5(x751,a17)+P5(x751,f23(x751,x752))
% 0.87/0.92 [80]P6(x801,x802)+~P5(f14(x801,x802),x802)
% 0.87/0.92 [89]~P5(x892,f8(x891))+~E(f9(x891,f5(f23(x892,x892),a17)),a13)
% 0.87/0.92 [98]P5(x981,x982)+~P5(f23(f23(x981,x981),f23(x981,f23(x982,x982))),a4)
% 0.87/0.92 [105]~P5(f23(f23(x1051,x1051),f23(x1051,f23(x1052,x1052))),a18)+E(f7(f9(f7(x1051),f7(f23(x1051,x1051)))),x1052)
% 0.87/0.92 [82]P2(x821)+~P3(x821,x822,x823)
% 0.87/0.92 [83]P8(x831)+~P4(x832,x833,x831)
% 0.87/0.92 [84]P8(x841)+~P4(x842,x841,x843)
% 0.87/0.92 [88]~P4(x881,x882,x883)+P3(x881,x882,x883)
% 0.87/0.92 [78]P5(x781,x782)+~P5(x781,f9(x783,x782))
% 0.87/0.92 [79]P5(x791,x792)+~P5(x791,f9(x792,x793))
% 0.87/0.92 [85]~P3(x852,x851,x853)+E(f8(f8(x851)),f8(x852))
% 0.87/0.92 [95]~P5(x951,f5(x952,x953))+E(f23(f23(f11(x951),f11(x951)),f23(f11(x951),f23(f22(x951),f22(x951)))),x951)
% 0.87/0.92 [97]~P3(x971,x973,x972)+P6(f8(f8(f10(f5(x971,a17)))),f8(f8(x972)))
% 0.87/0.92 [100]P5(x1001,x1002)+~P5(f23(f23(x1003,x1003),f23(x1003,f23(x1001,x1001))),f5(x1004,x1002))
% 0.87/0.92 [101]P5(x1011,x1012)+~P5(f23(f23(x1011,x1011),f23(x1011,f23(x1013,x1013))),f5(x1012,x1014))
% 0.87/0.92 [113]~P5(f23(f23(f23(f23(x1133,x1133),f23(x1133,f23(x1131,x1131))),f23(f23(x1133,x1133),f23(x1133,f23(x1131,x1131)))),f23(f23(f23(x1133,x1133),f23(x1133,f23(x1131,x1131))),f23(x1132,x1132))),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))),x1134)
% 0.87/0.92 [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))),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))),x1144)
% 0.87/0.92 [118]~P5(f23(f23(x1184,x1184),f23(x1184,f23(x1181,x1181))),f6(x1182,x1183))+P5(x1181,f8(f8(f10(f5(f9(x1182,f5(f8(f8(f10(f5(f9(x1183,f5(f23(x1184,x1184),a17)),a17)))),a17)),a17)))))
% 0.87/0.92 [91]~P2(x911)+P7(x911)+~P2(f8(f10(f5(x911,a17))))
% 0.87/0.92 [102]P2(x1021)+~P6(x1021,f5(a17,a17))+~P6(f6(x1021,f8(f10(f5(x1021,a17)))),a12)
% 0.87/0.92 [110]P1(x1101)+~P5(a13,x1101)+~P6(f8(f8(f10(f5(f9(a18,f5(x1101,a17)),a17)))),x1101)
% 0.87/0.92 [117]~P5(x1171,a17)+E(x1171,a13)+P5(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(a2,f5(f23(x1171,x1171),a17)),a17))))))),x1171)
% 0.87/0.92 [69]~P6(x692,x691)+~P6(x691,x692)+E(x691,x692)
% 0.87/0.92 [72]P5(x721,x722)+P5(x721,f7(x722))+~P5(x721,a17)
% 0.87/0.92 [87]P5(x872,f8(x871))+~P5(x872,a17)+E(f9(x871,f5(f23(x872,x872),a17)),a13)
% 0.87/0.92 [106]~P5(x1061,x1062)+~P5(f23(f23(x1061,x1061),f23(x1061,f23(x1062,x1062))),f5(a17,a17))+P5(f23(f23(x1061,x1061),f23(x1061,f23(x1062,x1062))),a4)
% 0.87/0.92 [107]~P5(f23(f23(x1071,x1071),f23(x1071,f23(x1072,x1072))),f5(a17,a17))+~E(f7(f9(f7(x1071),f7(f23(x1071,x1071)))),x1072)+P5(f23(f23(x1071,x1071),f23(x1071,f23(x1072,x1072))),a18)
% 0.87/0.92 [109]~P2(x1091)+~P5(x1092,a17)+P5(f8(f8(f10(f5(f9(x1091,f5(x1092,a17)),a17)))),a17)
% 0.87/0.92 [73]~P5(x731,x733)+P5(x731,x732)+~P6(x733,x732)
% 0.87/0.92 [77]E(x771,x772)+E(x771,x773)+~P5(x771,f23(x773,x772))
% 0.87/0.92 [81]~P5(x811,x813)+~P5(x811,x812)+P5(x811,f9(x812,x813))
% 0.87/0.92 [96]~P5(x962,x964)+~P5(x961,x963)+P5(f23(f23(x961,x961),f23(x961,f23(x962,x962))),f5(x963,x964))
% 0.87/0.92 [115]~P5(f23(f23(f23(f23(x1152,x1152),f23(x1152,f23(x1153,x1153))),f23(f23(x1152,x1152),f23(x1152,f23(x1153,x1153)))),f23(f23(f23(x1152,x1152),f23(x1152,f23(x1153,x1153))),f23(x1151,x1151))),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))),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))),f5(f5(a17,a17),a17))
% 0.87/0.92 [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))),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))),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))),f5(f5(a17,a17),a17))
% 0.87/0.92 [119]P5(f23(f23(x1191,x1191),f23(x1191,f23(x1192,x1192))),f6(x1193,x1194))+~P5(f23(f23(x1191,x1191),f23(x1191,f23(x1192,x1192))),f5(a17,a17))+~P5(x1192,f8(f8(f10(f5(f9(x1193,f5(f8(f8(f10(f5(f9(x1194,f5(f23(x1191,x1191),a17)),a17)))),a17)),a17)))))
% 0.87/0.92 [120]~P4(x1202,x1205,x1201)+~P5(f23(f23(x1203,x1203),f23(x1203,f23(x1204,x1204))),f8(x1205))+E(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f23(f23(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f23(x1203,x1203),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f23(x1203,x1203),a17)),a17)))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f23(x1203,x1203),a17)),a17))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f23(x1204,x1204),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f23(x1204,x1204),a17)),a17)))))))))),f23(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f23(x1203,x1203),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f23(x1203,x1203),a17)),a17)))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f23(x1203,x1203),a17)),a17))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f23(x1204,x1204),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f23(x1204,x1204),a17)),a17))))))))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1205,f5(f23(f23(f23(x1203,x1203),f23(x1203,f23(x1204,x1204))),f23(f23(x1203,x1203),f23(x1203,f23(x1204,x1204)))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1205,f5(f23(f23(f23(x1203,x1203),f23(x1203,f23(x1204,x1204))),f23(f23(x1203,x1203),f23(x1203,f23(x1204,x1204)))),a17)),a17)))))))),a17)),a17))))))))
% 0.87/0.92 [104]~P2(x1041)+P8(x1041)+~E(f5(f8(f8(x1041)),f8(f8(x1041))),f8(x1041))+~P6(f8(f8(f10(f5(x1041,a17)))),f8(f8(x1041)))
% 0.87/0.92 [103]~P2(x1031)+P3(x1031,x1032,x1033)+~E(f8(f8(x1032)),f8(x1031))+~P6(f8(f8(f10(f5(x1031,a17)))),f8(f8(x1033)))
% 0.87/0.92 [111]~P8(x1113)+~P8(x1112)+~P3(x1111,x1112,x1113)+P4(x1111,x1112,x1113)+P5(f23(f23(f15(x1111,x1112,x1113),f15(x1111,x1112,x1113)),f23(f15(x1111,x1112,x1113),f23(f16(x1111,x1112,x1113),f16(x1111,x1112,x1113)))),f8(x1112))
% 0.87/0.92 [121]~P8(x1213)+~P8(x1212)+~P3(x1211,x1212,x1213)+P4(x1211,x1212,x1213)+~E(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1213,f5(f23(f23(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f23(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f23(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),a17)),a17)))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f23(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),a17)),a17))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f23(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f23(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213)),a17)),a17)))))))))),f23(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f23(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f23(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),a17)),a17)))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f23(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),a17)),a17))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f23(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f23(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213)),a17)),a17))))))))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f23(f23(f23(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),f23(f15(x1211,x1212,x1213),f23(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213)))),f23(f23(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),f23(f15(x1211,x1212,x1213),f23(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f23(f23(f23(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),f23(f15(x1211,x1212,x1213),f23(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213)))),f23(f23(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),f23(f15(x1211,x1212,x1213),f23(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213))))),a17)),a17)))))))),a17)),a17))))))))
% 0.87/0.92 %EqnAxiom
% 0.87/0.92 [1]E(x11,x11)
% 0.87/0.92 [2]E(x22,x21)+~E(x21,x22)
% 0.87/0.92 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.87/0.92 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 0.87/0.92 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 0.87/0.92 [6]~E(x61,x62)+E(f8(x61),f8(x62))
% 0.87/0.92 [7]~E(x71,x72)+E(f23(x71,x73),f23(x72,x73))
% 0.87/0.92 [8]~E(x81,x82)+E(f23(x83,x81),f23(x83,x82))
% 0.87/0.92 [9]~E(x91,x92)+E(f6(x91,x93),f6(x92,x93))
% 0.87/0.92 [10]~E(x101,x102)+E(f6(x103,x101),f6(x103,x102))
% 0.87/0.92 [11]~E(x111,x112)+E(f9(x111,x113),f9(x112,x113))
% 0.87/0.92 [12]~E(x121,x122)+E(f9(x123,x121),f9(x123,x122))
% 0.87/0.92 [13]~E(x131,x132)+E(f15(x131,x133,x134),f15(x132,x133,x134))
% 0.87/0.92 [14]~E(x141,x142)+E(f15(x143,x141,x144),f15(x143,x142,x144))
% 0.87/0.92 [15]~E(x151,x152)+E(f15(x153,x154,x151),f15(x153,x154,x152))
% 0.87/0.92 [16]~E(x161,x162)+E(f10(x161),f10(x162))
% 0.87/0.92 [17]~E(x171,x172)+E(f22(x171),f22(x172))
% 0.87/0.92 [18]~E(x181,x182)+E(f7(x181),f7(x182))
% 0.87/0.92 [19]~E(x191,x192)+E(f19(x191),f19(x192))
% 0.87/0.92 [20]~E(x201,x202)+E(f16(x201,x203,x204),f16(x202,x203,x204))
% 0.87/0.92 [21]~E(x211,x212)+E(f16(x213,x211,x214),f16(x213,x212,x214))
% 0.87/0.92 [22]~E(x221,x222)+E(f16(x223,x224,x221),f16(x223,x224,x222))
% 0.87/0.92 [23]~E(x231,x232)+E(f11(x231),f11(x232))
% 0.87/0.92 [24]~E(x241,x242)+E(f3(x241),f3(x242))
% 0.87/0.92 [25]~E(x251,x252)+E(f14(x251,x253),f14(x252,x253))
% 0.87/0.92 [26]~E(x261,x262)+E(f14(x263,x261),f14(x263,x262))
% 0.87/0.92 [27]~E(x271,x272)+E(f20(x271),f20(x272))
% 0.87/0.92 [28]~P1(x281)+P1(x282)+~E(x281,x282)
% 0.87/0.92 [29]~P2(x291)+P2(x292)+~E(x291,x292)
% 0.87/0.92 [30]P5(x302,x303)+~E(x301,x302)+~P5(x301,x303)
% 0.87/0.92 [31]P5(x313,x312)+~E(x311,x312)+~P5(x313,x311)
% 0.87/0.92 [32]P6(x322,x323)+~E(x321,x322)+~P6(x321,x323)
% 0.87/0.92 [33]P6(x333,x332)+~E(x331,x332)+~P6(x333,x331)
% 0.87/0.92 [34]~P8(x341)+P8(x342)+~E(x341,x342)
% 0.87/0.92 [35]P4(x352,x353,x354)+~E(x351,x352)+~P4(x351,x353,x354)
% 0.87/0.92 [36]P4(x363,x362,x364)+~E(x361,x362)+~P4(x363,x361,x364)
% 0.87/0.92 [37]P4(x373,x374,x372)+~E(x371,x372)+~P4(x373,x374,x371)
% 0.87/0.92 [38]P3(x382,x383,x384)+~E(x381,x382)+~P3(x381,x383,x384)
% 0.87/0.92 [39]P3(x393,x392,x394)+~E(x391,x392)+~P3(x393,x391,x394)
% 0.87/0.92 [40]P3(x403,x404,x402)+~E(x401,x402)+~P3(x403,x404,x401)
% 0.87/0.92 [41]~P7(x411)+P7(x412)+~E(x411,x412)
% 0.87/0.92 [42]~P9(x421)+P9(x422)+~E(x421,x422)
% 0.87/0.92
% 0.87/0.92 %-------------------------------------------
% 0.87/0.92 cnf(123,plain,
% 0.87/0.92 (~P5(a24,f9(f7(f23(a25,a25)),f7(a26)))),
% 0.87/0.92 inference(scs_inference,[],[55,54,2,71])).
% 0.87/0.92 cnf(126,plain,
% 0.87/0.92 (P5(a24,a17)),
% 0.87/0.92 inference(scs_inference,[],[55,46,59,54,2,71,31,73])).
% 0.87/0.92 cnf(133,plain,
% 0.87/0.92 (P6(f9(f8(f10(f5(a21,a17))),a21),a12)),
% 0.87/0.92 inference(scs_inference,[],[55,46,59,43,54,2,71,31,73,65,64,63])).
% 0.87/0.92 cnf(156,plain,
% 0.87/0.92 (E(f3(f9(f8(f10(f5(a21,a17))),a21)),f3(a12))),
% 0.87/0.92 inference(scs_inference,[],[55,46,59,43,44,45,54,2,71,31,73,65,64,63,62,68,112,108,90,79,78,75,74,27,26,25,24])).
% 0.87/0.92 cnf(158,plain,
% 0.87/0.92 (E(f16(x1581,x1582,f9(f8(f10(f5(a21,a17))),a21)),f16(x1581,x1582,a12))),
% 0.87/0.92 inference(scs_inference,[],[55,46,59,43,44,45,54,2,71,31,73,65,64,63,62,68,112,108,90,79,78,75,74,27,26,25,24,23,22])).
% 0.87/0.92 cnf(159,plain,
% 0.87/0.92 (E(f16(x1591,f9(f8(f10(f5(a21,a17))),a21),x1592),f16(x1591,a12,x1592))),
% 0.87/0.92 inference(scs_inference,[],[55,46,59,43,44,45,54,2,71,31,73,65,64,63,62,68,112,108,90,79,78,75,74,27,26,25,24,23,22,21])).
% 0.87/0.92 cnf(183,plain,
% 0.87/0.92 (~P5(f23(f23(a24,a24),f23(a24,f23(a26,a26))),a4)),
% 0.87/0.92 inference(scs_inference,[],[55,46,59,43,44,45,54,2,71,31,73,65,64,63,62,68,112,108,90,79,78,75,74,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,100,101,98])).
% 0.87/0.92 cnf(235,plain,
% 0.87/0.92 (~E(a24,a25)),
% 0.87/0.92 inference(scs_inference,[],[55,58,49,44,54,133,32,71,109,81,2])).
% 0.87/0.92 cnf(236,plain,
% 0.87/0.92 (~E(a17,a4)),
% 0.87/0.92 inference(scs_inference,[],[55,58,49,44,54,183,133,32,71,109,81,2,31])).
% 0.87/0.92 cnf(242,plain,
% 0.87/0.92 (P5(a24,f7(a26))),
% 0.87/0.92 inference(scs_inference,[],[55,57,58,49,44,59,54,156,183,133,126,32,71,109,81,2,31,3,73,72])).
% 0.87/0.92 cnf(253,plain,
% 0.87/0.92 (P5(f14(f7(f9(f7(f23(a25,a25)),f7(a26))),a26),f7(f9(f7(f23(a25,a25)),f7(a26))))),
% 0.87/0.92 inference(scs_inference,[],[55,57,46,58,49,44,59,54,156,183,133,126,32,71,109,81,2,31,3,73,72,77,33,29,62,80,70])).
% 0.87/0.92 cnf(280,plain,
% 0.87/0.92 (P5(a24,f23(a25,a25))),
% 0.87/0.92 inference(scs_inference,[],[51,46,43,59,158,159,253,123,242,236,126,71,62,69,73,81,3,2,28,63,72])).
% 0.87/0.92 cnf(407,plain,
% 0.87/0.92 ($false),
% 0.87/0.92 inference(scs_inference,[],[235,280,77]),
% 0.87/0.92 ['proof']).
% 0.87/0.92 % SZS output end Proof
% 0.87/0.92 % Total time :0.270000s
%------------------------------------------------------------------------------