TSTP Solution File: SET017-6 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET017-6 : 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 : n019.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 14:27:54 EDT 2023
% Result : Unsatisfiable 1.23s 1.53s
% Output : CNFRefutation 1.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET017-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 16:04:13 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 1.23/1.53 %-------------------------------------------
% 1.23/1.53 % File :CSE---1.6
% 1.23/1.53 % Problem :theBenchmark
% 1.23/1.53 % Transform :cnf
% 1.23/1.53 % Format :tptp:raw
% 1.23/1.53 % Command :java -jar mcs_scs.jar %d %s
% 1.23/1.53
% 1.23/1.53 % Result :Theorem 0.860000s
% 1.23/1.53 % Output :CNFRefutation 0.860000s
% 1.23/1.53 %-------------------------------------------
% 1.23/1.53 %------------------------------------------------------------------------------
% 1.23/1.53 % File : SET017-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 1.23/1.53 % Domain : Set Theory
% 1.23/1.53 % Problem : Left cancellation for non-ordered pairs
% 1.23/1.53 % Version : [Qua92] axioms.
% 1.23/1.53 % English :
% 1.23/1.53
% 1.23/1.53 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 1.23/1.53 % Source : [Quaife]
% 1.23/1.53 % Names :
% 1.23/1.53
% 1.23/1.53 % Status : Unsatisfiable
% 1.23/1.53 % Rating : 0.19 v8.1.0, 0.11 v7.5.0, 0.16 v7.4.0, 0.24 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.20 v6.3.0, 0.18 v6.2.0, 0.30 v6.1.0, 0.29 v6.0.0, 0.20 v5.5.0, 0.40 v5.3.0, 0.39 v5.2.0, 0.31 v5.1.0, 0.35 v5.0.0, 0.36 v4.1.0, 0.15 v4.0.1, 0.36 v3.7.0, 0.30 v3.5.0, 0.27 v3.4.0, 0.17 v3.3.0, 0.14 v3.2.0, 0.15 v3.1.0, 0.18 v2.7.0, 0.25 v2.6.0, 0.11 v2.5.0, 0.09 v2.4.0, 0.25 v2.2.1, 0.17 v2.2.0, 0.33 v2.1.0
% 1.23/1.53 % Syntax : Number of clauses : 94 ( 32 unt; 8 nHn; 65 RR)
% 1.23/1.53 % Number of literals : 184 ( 41 equ; 85 neg)
% 1.23/1.53 % Maximal clause size : 5 ( 1 avg)
% 1.23/1.53 % Maximal term depth : 6 ( 1 avg)
% 1.23/1.53 % Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% 1.23/1.53 % Number of functors : 41 ( 41 usr; 11 con; 0-3 aty)
% 1.23/1.53 % Number of variables : 176 ( 25 sgn)
% 1.23/1.53 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.23/1.53
% 1.23/1.53 % Comments :
% 1.23/1.53 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 1.23/1.53 %------------------------------------------------------------------------------
% 1.23/1.53 %----Include von Neuman-Bernays-Godel set theory axioms
% 1.23/1.53 include('Axioms/SET004-0.ax').
% 1.23/1.53 %------------------------------------------------------------------------------
% 1.23/1.53 cnf(prove_left_cancellation_1,negated_conjecture,
% 1.23/1.53 unordered_pair(x,y) = unordered_pair(x,z) ).
% 1.23/1.53
% 1.23/1.53 cnf(prove_left_cancellation_2,negated_conjecture,
% 1.23/1.53 member(ordered_pair(y,z),cross_product(universal_class,universal_class)) ).
% 1.23/1.53
% 1.23/1.53 cnf(prove_left_cancellation_3,negated_conjecture,
% 1.23/1.53 y != z ).
% 1.23/1.53
% 1.23/1.53 %------------------------------------------------------------------------------
% 1.23/1.53 %-------------------------------------------
% 1.23/1.53 % Proof found
% 1.23/1.53 % SZS status Theorem for theBenchmark
% 1.23/1.53 % SZS output start Proof
% 1.23/1.53 %ClaNum:121(EqnAxiom:42)
% 1.23/1.54 %VarNum:718(SingletonVarNum:150)
% 1.23/1.54 %MaxLitNum:5
% 1.23/1.54 %MaxfuncDepth:24
% 1.23/1.54 %SharedTerms:41
% 1.23/1.54 %goalClause: 47 56 59
% 1.23/1.54 %singleGoalClaCount:3
% 1.23/1.54 [43]P1(a1)
% 1.23/1.54 [44]P2(a2)
% 1.23/1.54 [45]P5(a1,a17)
% 1.23/1.54 [59]~E(a25,a26)
% 1.23/1.54 [47]E(f24(a23,a25),f24(a23,a26))
% 1.23/1.54 [48]P6(a4,f5(a17,a17))
% 1.23/1.54 [49]P6(a18,f5(a17,a17))
% 1.23/1.54 [56]P5(f24(f24(a25,a25),f24(a25,f24(a26,a26))),f5(a17,a17))
% 1.23/1.54 [55]E(f9(f8(f10(f5(a21,a17))),a21),a12)
% 1.23/1.54 [57]E(f9(f5(a17,a17),f9(f5(a17,a17),f7(f6(f7(a4),f8(f10(f5(a4,a17))))))),a21)
% 1.23/1.54 [46]P6(x461,a17)
% 1.23/1.54 [53]P6(f19(x531),f5(f5(a17,a17),a17))
% 1.23/1.54 [54]P6(f10(x541),f5(f5(a17,a17),a17))
% 1.23/1.54 [58]E(f9(f8(x581),f7(f8(f9(f6(f8(f10(f5(a4,a17))),x581),a12)))),f3(x581))
% 1.23/1.54 [50]P5(f24(x501,x502),a17)
% 1.23/1.54 [51]P6(f6(x511,x512),f5(a17,a17))
% 1.23/1.54 [52]E(f9(f5(x521,x522),x523),f9(x523,f5(x521,x522)))
% 1.23/1.54 [60]~P7(x601)+P2(x601)
% 1.23/1.54 [61]~P8(x611)+P2(x611)
% 1.23/1.54 [64]~P1(x641)+P6(a1,x641)
% 1.23/1.54 [65]~P1(x651)+P5(a13,x651)
% 1.23/1.54 [67]P5(f20(x671),x671)+E(x671,a13)
% 1.23/1.54 [68]~P2(x681)+P6(x681,f5(a17,a17))
% 1.23/1.54 [66]E(x661,a13)+E(f9(x661,f20(x661)),a13)
% 1.23/1.54 [76]~P8(x761)+E(f5(f8(f8(x761)),f8(f8(x761))),f8(x761))
% 1.23/1.54 [86]~P7(x861)+P2(f8(f10(f5(x861,a17))))
% 1.23/1.54 [90]~P5(x901,a17)+P5(f8(f9(a4,f5(a17,x901))),a17)
% 1.23/1.54 [92]~P9(x921)+P6(f6(x921,f8(f10(f5(x921,a17)))),a12)
% 1.23/1.54 [93]~P2(x931)+P6(f6(x931,f8(f10(f5(x931,a17)))),a12)
% 1.23/1.54 [94]~P8(x941)+P6(f8(f8(f10(f5(x941,a17)))),f8(f8(x941)))
% 1.23/1.54 [99]P9(x991)+~P6(f6(x991,f8(f10(f5(x991,a17)))),a12)
% 1.23/1.54 [108]~P1(x1081)+P6(f8(f8(f10(f5(f9(a18,f5(x1081,a17)),a17)))),x1081)
% 1.23/1.54 [112]~P5(x1121,a17)+P5(f7(f8(f8(f10(f5(f9(a4,f5(f7(x1121),a17)),a17))))),a17)
% 1.23/1.54 [62]~E(x622,x621)+P6(x621,x622)
% 1.23/1.54 [63]~E(x631,x632)+P6(x631,x632)
% 1.23/1.54 [70]P6(x701,x702)+P5(f14(x701,x702),x701)
% 1.23/1.54 [71]~P5(x711,x712)+~P5(x711,f7(x712))
% 1.23/1.54 [74]~P5(x741,a17)+P5(x741,f24(x742,x741))
% 1.23/1.54 [75]~P5(x751,a17)+P5(x751,f24(x751,x752))
% 1.23/1.54 [80]P6(x801,x802)+~P5(f14(x801,x802),x802)
% 1.23/1.54 [89]~P5(x892,f8(x891))+~E(f9(x891,f5(f24(x892,x892),a17)),a13)
% 1.23/1.54 [98]P5(x981,x982)+~P5(f24(f24(x981,x981),f24(x981,f24(x982,x982))),a4)
% 1.23/1.54 [105]~P5(f24(f24(x1051,x1051),f24(x1051,f24(x1052,x1052))),a18)+E(f7(f9(f7(x1051),f7(f24(x1051,x1051)))),x1052)
% 1.23/1.54 [82]P2(x821)+~P3(x821,x822,x823)
% 1.23/1.54 [83]P8(x831)+~P4(x832,x833,x831)
% 1.23/1.54 [84]P8(x841)+~P4(x842,x841,x843)
% 1.23/1.54 [88]~P4(x881,x882,x883)+P3(x881,x882,x883)
% 1.23/1.54 [78]P5(x781,x782)+~P5(x781,f9(x783,x782))
% 1.23/1.54 [79]P5(x791,x792)+~P5(x791,f9(x792,x793))
% 1.23/1.54 [85]~P3(x852,x851,x853)+E(f8(f8(x851)),f8(x852))
% 1.23/1.54 [95]~P5(x951,f5(x952,x953))+E(f24(f24(f11(x951),f11(x951)),f24(f11(x951),f24(f22(x951),f22(x951)))),x951)
% 1.23/1.54 [97]~P3(x971,x973,x972)+P6(f8(f8(f10(f5(x971,a17)))),f8(f8(x972)))
% 1.23/1.54 [100]P5(x1001,x1002)+~P5(f24(f24(x1003,x1003),f24(x1003,f24(x1001,x1001))),f5(x1004,x1002))
% 1.23/1.54 [101]P5(x1011,x1012)+~P5(f24(f24(x1011,x1011),f24(x1011,f24(x1013,x1013))),f5(x1012,x1014))
% 1.23/1.54 [113]~P5(f24(f24(f24(f24(x1133,x1133),f24(x1133,f24(x1131,x1131))),f24(f24(x1133,x1133),f24(x1133,f24(x1131,x1131)))),f24(f24(f24(x1133,x1133),f24(x1133,f24(x1131,x1131))),f24(x1132,x1132))),f19(x1134))+P5(f24(f24(f24(f24(x1131,x1131),f24(x1131,f24(x1132,x1132))),f24(f24(x1131,x1131),f24(x1131,f24(x1132,x1132)))),f24(f24(f24(x1131,x1131),f24(x1131,f24(x1132,x1132))),f24(x1133,x1133))),x1134)
% 1.23/1.54 [114]~P5(f24(f24(f24(f24(x1142,x1142),f24(x1142,f24(x1141,x1141))),f24(f24(x1142,x1142),f24(x1142,f24(x1141,x1141)))),f24(f24(f24(x1142,x1142),f24(x1142,f24(x1141,x1141))),f24(x1143,x1143))),f10(x1144))+P5(f24(f24(f24(f24(x1141,x1141),f24(x1141,f24(x1142,x1142))),f24(f24(x1141,x1141),f24(x1141,f24(x1142,x1142)))),f24(f24(f24(x1141,x1141),f24(x1141,f24(x1142,x1142))),f24(x1143,x1143))),x1144)
% 1.23/1.54 [118]~P5(f24(f24(x1184,x1184),f24(x1184,f24(x1181,x1181))),f6(x1182,x1183))+P5(x1181,f8(f8(f10(f5(f9(x1182,f5(f8(f8(f10(f5(f9(x1183,f5(f24(x1184,x1184),a17)),a17)))),a17)),a17)))))
% 1.23/1.54 [91]~P2(x911)+P7(x911)+~P2(f8(f10(f5(x911,a17))))
% 1.23/1.54 [102]P2(x1021)+~P6(x1021,f5(a17,a17))+~P6(f6(x1021,f8(f10(f5(x1021,a17)))),a12)
% 1.23/1.54 [110]P1(x1101)+~P5(a13,x1101)+~P6(f8(f8(f10(f5(f9(a18,f5(x1101,a17)),a17)))),x1101)
% 1.23/1.54 [117]~P5(x1171,a17)+E(x1171,a13)+P5(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(a2,f5(f24(x1171,x1171),a17)),a17))))))),x1171)
% 1.23/1.54 [69]~P6(x692,x691)+~P6(x691,x692)+E(x691,x692)
% 1.23/1.54 [72]P5(x721,x722)+P5(x721,f7(x722))+~P5(x721,a17)
% 1.23/1.54 [87]P5(x872,f8(x871))+~P5(x872,a17)+E(f9(x871,f5(f24(x872,x872),a17)),a13)
% 1.23/1.54 [106]~P5(x1061,x1062)+~P5(f24(f24(x1061,x1061),f24(x1061,f24(x1062,x1062))),f5(a17,a17))+P5(f24(f24(x1061,x1061),f24(x1061,f24(x1062,x1062))),a4)
% 1.23/1.54 [107]~P5(f24(f24(x1071,x1071),f24(x1071,f24(x1072,x1072))),f5(a17,a17))+~E(f7(f9(f7(x1071),f7(f24(x1071,x1071)))),x1072)+P5(f24(f24(x1071,x1071),f24(x1071,f24(x1072,x1072))),a18)
% 1.23/1.54 [109]~P2(x1091)+~P5(x1092,a17)+P5(f8(f8(f10(f5(f9(x1091,f5(x1092,a17)),a17)))),a17)
% 1.23/1.54 [73]~P5(x731,x733)+P5(x731,x732)+~P6(x733,x732)
% 1.23/1.54 [77]E(x771,x772)+E(x771,x773)+~P5(x771,f24(x773,x772))
% 1.23/1.54 [81]~P5(x811,x813)+~P5(x811,x812)+P5(x811,f9(x812,x813))
% 1.23/1.54 [96]~P5(x962,x964)+~P5(x961,x963)+P5(f24(f24(x961,x961),f24(x961,f24(x962,x962))),f5(x963,x964))
% 1.23/1.54 [115]~P5(f24(f24(f24(f24(x1152,x1152),f24(x1152,f24(x1153,x1153))),f24(f24(x1152,x1152),f24(x1152,f24(x1153,x1153)))),f24(f24(f24(x1152,x1152),f24(x1152,f24(x1153,x1153))),f24(x1151,x1151))),x1154)+P5(f24(f24(f24(f24(x1151,x1151),f24(x1151,f24(x1152,x1152))),f24(f24(x1151,x1151),f24(x1151,f24(x1152,x1152)))),f24(f24(f24(x1151,x1151),f24(x1151,f24(x1152,x1152))),f24(x1153,x1153))),f19(x1154))+~P5(f24(f24(f24(f24(x1151,x1151),f24(x1151,f24(x1152,x1152))),f24(f24(x1151,x1151),f24(x1151,f24(x1152,x1152)))),f24(f24(f24(x1151,x1151),f24(x1151,f24(x1152,x1152))),f24(x1153,x1153))),f5(f5(a17,a17),a17))
% 1.23/1.54 [116]~P5(f24(f24(f24(f24(x1162,x1162),f24(x1162,f24(x1161,x1161))),f24(f24(x1162,x1162),f24(x1162,f24(x1161,x1161)))),f24(f24(f24(x1162,x1162),f24(x1162,f24(x1161,x1161))),f24(x1163,x1163))),x1164)+P5(f24(f24(f24(f24(x1161,x1161),f24(x1161,f24(x1162,x1162))),f24(f24(x1161,x1161),f24(x1161,f24(x1162,x1162)))),f24(f24(f24(x1161,x1161),f24(x1161,f24(x1162,x1162))),f24(x1163,x1163))),f10(x1164))+~P5(f24(f24(f24(f24(x1161,x1161),f24(x1161,f24(x1162,x1162))),f24(f24(x1161,x1161),f24(x1161,f24(x1162,x1162)))),f24(f24(f24(x1161,x1161),f24(x1161,f24(x1162,x1162))),f24(x1163,x1163))),f5(f5(a17,a17),a17))
% 1.23/1.54 [119]P5(f24(f24(x1191,x1191),f24(x1191,f24(x1192,x1192))),f6(x1193,x1194))+~P5(f24(f24(x1191,x1191),f24(x1191,f24(x1192,x1192))),f5(a17,a17))+~P5(x1192,f8(f8(f10(f5(f9(x1193,f5(f8(f8(f10(f5(f9(x1194,f5(f24(x1191,x1191),a17)),a17)))),a17)),a17)))))
% 1.23/1.54 [120]~P4(x1202,x1205,x1201)+~P5(f24(f24(x1203,x1203),f24(x1203,f24(x1204,x1204))),f8(x1205))+E(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f24(f24(f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f24(x1203,x1203),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f24(x1203,x1203),a17)),a17)))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f24(x1203,x1203),a17)),a17))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f24(x1204,x1204),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f24(x1204,x1204),a17)),a17)))))))))),f24(f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f24(x1203,x1203),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f24(x1203,x1203),a17)),a17)))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f24(x1203,x1203),a17)),a17))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f24(x1204,x1204),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f24(x1204,x1204),a17)),a17))))))))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1205,f5(f24(f24(f24(x1203,x1203),f24(x1203,f24(x1204,x1204))),f24(f24(x1203,x1203),f24(x1203,f24(x1204,x1204)))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1205,f5(f24(f24(f24(x1203,x1203),f24(x1203,f24(x1204,x1204))),f24(f24(x1203,x1203),f24(x1203,f24(x1204,x1204)))),a17)),a17)))))))),a17)),a17))))))))
% 1.23/1.54 [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)))
% 1.23/1.54 [103]~P2(x1031)+P3(x1031,x1032,x1033)+~E(f8(f8(x1032)),f8(x1031))+~P6(f8(f8(f10(f5(x1031,a17)))),f8(f8(x1033)))
% 1.23/1.54 [111]~P8(x1113)+~P8(x1112)+~P3(x1111,x1112,x1113)+P4(x1111,x1112,x1113)+P5(f24(f24(f15(x1111,x1112,x1113),f15(x1111,x1112,x1113)),f24(f15(x1111,x1112,x1113),f24(f16(x1111,x1112,x1113),f16(x1111,x1112,x1113)))),f8(x1112))
% 1.23/1.54 [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(f24(f24(f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f24(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f24(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),a17)),a17)))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f24(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),a17)),a17))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f24(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f24(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213)),a17)),a17)))))))))),f24(f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f24(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f24(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),a17)),a17)))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f24(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),a17)),a17))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f24(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f24(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213)),a17)),a17))))))))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1211,f5(f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f24(f24(f24(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),f24(f15(x1211,x1212,x1213),f24(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213)))),f24(f24(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),f24(f15(x1211,x1212,x1213),f24(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1212,f5(f24(f24(f24(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),f24(f15(x1211,x1212,x1213),f24(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213)))),f24(f24(f15(x1211,x1212,x1213),f15(x1211,x1212,x1213)),f24(f15(x1211,x1212,x1213),f24(f16(x1211,x1212,x1213),f16(x1211,x1212,x1213))))),a17)),a17)))))))),a17)),a17))))))))
% 1.23/1.54 %EqnAxiom
% 1.23/1.54 [1]E(x11,x11)
% 1.23/1.54 [2]E(x22,x21)+~E(x21,x22)
% 1.23/1.54 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.23/1.54 [4]~E(x41,x42)+E(f24(x41,x43),f24(x42,x43))
% 1.23/1.54 [5]~E(x51,x52)+E(f24(x53,x51),f24(x53,x52))
% 1.23/1.54 [6]~E(x61,x62)+E(f8(x61),f8(x62))
% 1.23/1.54 [7]~E(x71,x72)+E(f5(x71,x73),f5(x72,x73))
% 1.23/1.54 [8]~E(x81,x82)+E(f5(x83,x81),f5(x83,x82))
% 1.23/1.54 [9]~E(x91,x92)+E(f10(x91),f10(x92))
% 1.23/1.54 [10]~E(x101,x102)+E(f9(x101,x103),f9(x102,x103))
% 1.23/1.54 [11]~E(x111,x112)+E(f9(x113,x111),f9(x113,x112))
% 1.23/1.54 [12]~E(x121,x122)+E(f6(x121,x123),f6(x122,x123))
% 1.23/1.54 [13]~E(x131,x132)+E(f6(x133,x131),f6(x133,x132))
% 1.23/1.54 [14]~E(x141,x142)+E(f7(x141),f7(x142))
% 1.23/1.54 [15]~E(x151,x152)+E(f16(x151,x153,x154),f16(x152,x153,x154))
% 1.23/1.54 [16]~E(x161,x162)+E(f16(x163,x161,x164),f16(x163,x162,x164))
% 1.23/1.54 [17]~E(x171,x172)+E(f16(x173,x174,x171),f16(x173,x174,x172))
% 1.23/1.54 [18]~E(x181,x182)+E(f14(x181,x183),f14(x182,x183))
% 1.23/1.54 [19]~E(x191,x192)+E(f14(x193,x191),f14(x193,x192))
% 1.23/1.54 [20]~E(x201,x202)+E(f15(x201,x203,x204),f15(x202,x203,x204))
% 1.23/1.54 [21]~E(x211,x212)+E(f15(x213,x211,x214),f15(x213,x212,x214))
% 1.23/1.54 [22]~E(x221,x222)+E(f15(x223,x224,x221),f15(x223,x224,x222))
% 1.23/1.54 [23]~E(x231,x232)+E(f20(x231),f20(x232))
% 1.23/1.54 [24]~E(x241,x242)+E(f19(x241),f19(x242))
% 1.23/1.54 [25]~E(x251,x252)+E(f3(x251),f3(x252))
% 1.23/1.54 [26]~E(x261,x262)+E(f22(x261),f22(x262))
% 1.23/1.54 [27]~E(x271,x272)+E(f11(x271),f11(x272))
% 1.23/1.54 [28]~P1(x281)+P1(x282)+~E(x281,x282)
% 1.23/1.54 [29]~P2(x291)+P2(x292)+~E(x291,x292)
% 1.23/1.54 [30]P5(x302,x303)+~E(x301,x302)+~P5(x301,x303)
% 1.23/1.54 [31]P5(x313,x312)+~E(x311,x312)+~P5(x313,x311)
% 1.23/1.54 [32]P6(x322,x323)+~E(x321,x322)+~P6(x321,x323)
% 1.23/1.54 [33]P6(x333,x332)+~E(x331,x332)+~P6(x333,x331)
% 1.23/1.54 [34]P4(x342,x343,x344)+~E(x341,x342)+~P4(x341,x343,x344)
% 1.23/1.54 [35]P4(x353,x352,x354)+~E(x351,x352)+~P4(x353,x351,x354)
% 1.23/1.54 [36]P4(x363,x364,x362)+~E(x361,x362)+~P4(x363,x364,x361)
% 1.23/1.54 [37]~P8(x371)+P8(x372)+~E(x371,x372)
% 1.23/1.54 [38]P3(x382,x383,x384)+~E(x381,x382)+~P3(x381,x383,x384)
% 1.23/1.54 [39]P3(x393,x392,x394)+~E(x391,x392)+~P3(x393,x391,x394)
% 1.23/1.54 [40]P3(x403,x404,x402)+~E(x401,x402)+~P3(x403,x404,x401)
% 1.23/1.54 [41]~P7(x411)+P7(x412)+~E(x411,x412)
% 1.23/1.54 [42]~P9(x421)+P9(x422)+~E(x421,x422)
% 1.23/1.54
% 1.23/1.54 %-------------------------------------------
% 1.23/1.54 cnf(122,plain,
% 1.23/1.54 (E(f24(a23,a26),f24(a23,a25))),
% 1.23/1.54 inference(scs_inference,[],[47,2])).
% 1.23/1.54 cnf(123,plain,
% 1.23/1.54 (P5(a26,a17)),
% 1.23/1.54 inference(scs_inference,[],[47,56,2,100])).
% 1.23/1.54 cnf(125,plain,
% 1.23/1.54 (P5(a25,a17)),
% 1.23/1.54 inference(scs_inference,[],[47,56,2,100,101])).
% 1.23/1.54 cnf(127,plain,
% 1.23/1.54 (P5(a13,a1)),
% 1.23/1.54 inference(scs_inference,[],[47,43,56,2,100,101,65])).
% 1.23/1.54 cnf(131,plain,
% 1.23/1.54 (P6(f24(a23,a25),f24(a23,a26))),
% 1.23/1.54 inference(scs_inference,[],[47,43,56,2,100,101,65,64,63])).
% 1.23/1.54 cnf(133,plain,
% 1.23/1.54 (P6(f24(a23,a26),f24(a23,a25))),
% 1.23/1.54 inference(scs_inference,[],[47,43,56,2,100,101,65,64,63,62])).
% 1.23/1.54 cnf(147,plain,
% 1.23/1.54 (~P5(a1,f7(a17))),
% 1.23/1.54 inference(scs_inference,[],[47,43,44,45,56,2,100,101,65,64,63,62,68,112,108,90,75,74,71])).
% 1.23/1.54 cnf(151,plain,
% 1.23/1.54 (E(f3(f24(a23,a25)),f3(f24(a23,a26)))),
% 1.23/1.54 inference(scs_inference,[],[47,43,44,45,56,2,100,101,65,64,63,62,68,112,108,90,75,74,71,27,26,25])).
% 1.23/1.54 cnf(154,plain,
% 1.23/1.54 (E(f15(x1541,x1542,f24(a23,a25)),f15(x1541,x1542,f24(a23,a26)))),
% 1.23/1.54 inference(scs_inference,[],[47,43,44,45,56,2,100,101,65,64,63,62,68,112,108,90,75,74,71,27,26,25,24,23,22])).
% 1.23/1.54 cnf(155,plain,
% 1.23/1.54 (E(f15(x1551,f24(a23,a25),x1552),f15(x1551,f24(a23,a26),x1552))),
% 1.23/1.54 inference(scs_inference,[],[47,43,44,45,56,2,100,101,65,64,63,62,68,112,108,90,75,74,71,27,26,25,24,23,22,21])).
% 1.23/1.54 cnf(175,plain,
% 1.23/1.54 (~P5(f24(f24(a1,a1),f24(a1,f24(f7(a17),f7(a17)))),a4)),
% 1.23/1.54 inference(scs_inference,[],[47,43,44,45,56,2,100,101,65,64,63,62,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,98])).
% 1.23/1.54 cnf(179,plain,
% 1.23/1.54 (~E(a17,f7(a17))),
% 1.23/1.54 inference(scs_inference,[],[47,43,44,45,56,2,100,101,65,64,63,62,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,98,95,31])).
% 1.23/1.54 cnf(181,plain,
% 1.23/1.54 (~P6(a17,f7(a17))),
% 1.23/1.54 inference(scs_inference,[],[47,43,44,45,56,2,100,101,65,64,63,62,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,98,95,31,30,73])).
% 1.23/1.54 cnf(189,plain,
% 1.23/1.54 (~P5(a25,f24(a26,a26))),
% 1.23/1.54 inference(scs_inference,[],[47,59,43,44,45,56,2,100,101,65,64,63,62,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,98,95,31,30,73,72,109,81,77])).
% 1.23/1.54 cnf(191,plain,
% 1.23/1.54 (P5(f24(f24(a1,a1),f24(a1,f24(a1,a1))),f5(a17,a17))),
% 1.23/1.54 inference(scs_inference,[],[47,59,43,44,45,56,2,100,101,65,64,63,62,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,98,95,31,30,73,72,109,81,77,96])).
% 1.23/1.54 cnf(193,plain,
% 1.23/1.54 (P9(a2)),
% 1.23/1.54 inference(scs_inference,[],[47,59,43,44,45,56,2,100,101,65,64,63,62,68,112,108,90,75,74,71,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,93,98,95,31,30,73,72,109,81,77,96,99])).
% 1.23/1.54 cnf(218,plain,
% 1.23/1.54 (~P5(a1,f9(f7(a17),x2181))),
% 1.23/1.54 inference(scs_inference,[],[147,79])).
% 1.23/1.54 cnf(227,plain,
% 1.23/1.54 (~P5(f24(f24(a1,a1),f24(a1,f24(x2271,x2271))),f5(f7(a17),x2272))),
% 1.23/1.54 inference(scs_inference,[],[47,181,147,131,79,78,80,32,62,101])).
% 1.23/1.54 cnf(229,plain,
% 1.23/1.54 (P5(f24(f24(f24(x2291,x2292),f24(x2291,x2292)),f24(f24(x2291,x2292),f24(f24(x2291,x2292),f24(x2291,x2292)))),f5(a17,a17))),
% 1.23/1.54 inference(scs_inference,[],[47,50,181,147,131,79,78,80,32,62,101,96])).
% 1.23/1.54 cnf(233,plain,
% 1.23/1.54 (~E(a26,a25)),
% 1.23/1.54 inference(scs_inference,[],[47,50,59,181,147,131,79,78,80,32,62,101,96,81,2])).
% 1.23/1.54 cnf(236,plain,
% 1.23/1.54 (~P5(f24(f24(x2361,x2361),f24(x2361,f24(a1,a1))),f5(x2362,f7(a17)))),
% 1.23/1.54 inference(scs_inference,[],[47,50,59,181,147,131,79,78,80,32,62,101,96,81,2,70,100])).
% 1.23/1.54 cnf(240,plain,
% 1.23/1.54 (P5(f24(x2401,x2402),a17)),
% 1.23/1.54 inference(rename_variables,[],[50])).
% 1.23/1.54 cnf(244,plain,
% 1.23/1.54 (~P5(a17,f24(f7(a17),f7(a17)))),
% 1.23/1.54 inference(scs_inference,[],[47,50,240,59,44,181,147,122,131,175,179,79,78,80,32,62,101,96,81,2,70,100,33,72,109,77])).
% 1.23/1.54 cnf(246,plain,
% 1.23/1.54 (~P6(a17,a4)),
% 1.23/1.54 inference(scs_inference,[],[47,50,240,59,44,181,147,122,131,175,179,79,78,80,32,62,101,96,81,2,70,100,33,72,109,77,73])).
% 1.23/1.54 cnf(254,plain,
% 1.23/1.54 (~P5(f24(f24(f24(f24(a1,a1),f24(a1,f24(x2541,x2541))),f24(f24(a1,a1),f24(a1,f24(x2541,x2541)))),f24(f24(f24(a1,a1),f24(a1,f24(x2541,x2541))),f24(x2542,x2542))),f19(f5(x2543,f7(a17))))),
% 1.23/1.54 inference(scs_inference,[],[47,50,240,59,44,154,155,181,147,122,131,175,179,79,78,80,32,62,101,96,81,2,70,100,33,72,109,77,73,3,114,113])).
% 1.23/1.54 cnf(259,plain,
% 1.23/1.54 (~E(f5(a17,a17),f5(f7(a17),x2591))),
% 1.23/1.55 inference(scs_inference,[],[47,50,240,59,44,191,154,155,181,147,122,131,175,179,193,79,78,80,32,62,101,96,81,2,70,100,33,72,109,77,73,3,114,113,42,63,31])).
% 1.23/1.55 cnf(273,plain,
% 1.23/1.55 (P6(f9(x2731,f5(x2732,x2733)),f9(f5(x2732,x2733),x2731))),
% 1.23/1.55 inference(scs_inference,[],[52,62])).
% 1.23/1.55 cnf(275,plain,
% 1.23/1.55 (P6(f9(f5(x2751,x2752),x2753),f9(x2753,f5(x2751,x2752)))),
% 1.23/1.55 inference(scs_inference,[],[52,62,63])).
% 1.23/1.55 cnf(277,plain,
% 1.23/1.55 (E(f9(x2771,f5(x2772,x2773)),f9(f5(x2772,x2773),x2771))),
% 1.23/1.55 inference(scs_inference,[],[52,62,63,2])).
% 1.23/1.55 cnf(308,plain,
% 1.23/1.55 (~P5(f24(f24(a25,a25),f24(a25,f24(f24(a26,a26),f24(a26,a26)))),a4)),
% 1.23/1.55 inference(scs_inference,[],[189,98])).
% 1.23/1.55 cnf(312,plain,
% 1.23/1.55 (~P6(a17,f19(f5(x3121,f7(a17))))),
% 1.23/1.55 inference(scs_inference,[],[50,189,254,246,98,62,73])).
% 1.23/1.55 cnf(316,plain,
% 1.23/1.55 (P6(f9(f9(f5(a17,a17),f7(f6(f7(a4),f8(f10(f5(a4,a17)))))),f5(a17,a17)),a21)),
% 1.23/1.55 inference(scs_inference,[],[57,50,273,189,254,259,246,98,62,73,2,33])).
% 1.23/1.55 cnf(324,plain,
% 1.23/1.55 (~E(x3241,a26)+~E(a25,x3241)),
% 1.23/1.55 inference(scs_inference,[],[56,58,57,59,43,50,273,189,254,259,246,98,62,73,2,33,28,63,42,30,31,3])).
% 1.23/1.55 cnf(329,plain,
% 1.23/1.55 (P6(a12,f9(f8(f10(f5(a21,a17))),a21))),
% 1.23/1.55 inference(scs_inference,[],[55,62])).
% 1.23/1.55 cnf(334,plain,
% 1.23/1.55 (P5(f24(x3341,x3342),a17)),
% 1.23/1.55 inference(rename_variables,[],[50])).
% 1.23/1.55 cnf(338,plain,
% 1.23/1.55 (~E(a17,f5(x3381,f7(a17)))),
% 1.23/1.55 inference(scs_inference,[],[55,50,334,236,62,63,73,69,31])).
% 1.23/1.55 cnf(340,plain,
% 1.23/1.55 (E(f9(f8(f24(a23,a25)),f7(f8(f9(f6(f8(f10(f5(a4,a17))),f24(a23,a25)),a12)))),f3(f24(a23,a26)))),
% 1.23/1.55 inference(scs_inference,[],[55,58,50,334,151,236,62,63,73,69,31,3])).
% 1.23/1.55 cnf(352,plain,
% 1.23/1.55 (P5(a26,f24(a26,x3521))),
% 1.23/1.55 inference(scs_inference,[],[123,55,57,58,50,334,52,275,151,236,62,63,73,69,31,3,2,33,87,112,90,75])).
% 1.23/1.55 cnf(354,plain,
% 1.23/1.55 (P5(a26,f24(x3541,a26))),
% 1.23/1.55 inference(scs_inference,[],[123,55,57,58,50,334,52,275,151,236,62,63,73,69,31,3,2,33,87,112,90,75,74])).
% 1.23/1.55 cnf(356,plain,
% 1.23/1.55 (E(f3(f24(a23,a26)),f3(f24(a23,a25)))),
% 1.23/1.55 inference(scs_inference,[],[123,122,55,57,58,50,334,52,275,151,236,62,63,73,69,31,3,2,33,87,112,90,75,74,25])).
% 1.23/1.55 cnf(360,plain,
% 1.23/1.55 (E(f24(f24(f11(f24(f24(f24(x3601,x3602),f24(x3601,x3602)),f24(f24(x3601,x3602),f24(f24(x3601,x3602),f24(x3601,x3602))))),f11(f24(f24(f24(x3601,x3602),f24(x3601,x3602)),f24(f24(x3601,x3602),f24(f24(x3601,x3602),f24(x3601,x3602)))))),f24(f11(f24(f24(f24(x3601,x3602),f24(x3601,x3602)),f24(f24(x3601,x3602),f24(f24(x3601,x3602),f24(x3601,x3602))))),f24(f22(f24(f24(f24(x3601,x3602),f24(x3601,x3602)),f24(f24(x3601,x3602),f24(f24(x3601,x3602),f24(x3601,x3602))))),f22(f24(f24(f24(x3601,x3602),f24(x3601,x3602)),f24(f24(x3601,x3602),f24(f24(x3601,x3602),f24(x3601,x3602)))))))),f24(f24(f24(x3601,x3602),f24(x3601,x3602)),f24(f24(x3601,x3602),f24(f24(x3601,x3602),f24(x3601,x3602)))))),
% 1.23/1.55 inference(scs_inference,[],[123,122,55,57,58,50,334,52,275,151,229,236,62,63,73,69,31,3,2,33,87,112,90,75,74,25,23,14,6,95])).
% 1.23/1.55 cnf(387,plain,
% 1.23/1.55 (~E(f19(f5(x3871,f7(a17))),a17)),
% 1.23/1.55 inference(scs_inference,[],[312,62])).
% 1.23/1.55 cnf(389,plain,
% 1.23/1.55 (P5(a26,f24(a23,a25))),
% 1.23/1.55 inference(scs_inference,[],[312,354,133,62,73])).
% 1.23/1.55 cnf(395,plain,
% 1.23/1.55 (~P5(f24(f24(f24(f24(a1,a1),f24(a1,f24(x3951,x3951))),f24(f24(a1,a1),f24(a1,f24(x3951,x3951)))),f24(f24(f24(a1,a1),f24(a1,f24(x3951,x3951))),f24(x3952,x3952))),f19(f5(x3953,f7(a17))))),
% 1.23/1.55 inference(rename_variables,[],[254])).
% 1.23/1.55 cnf(399,plain,
% 1.23/1.55 (~P5(f14(a17,f19(f5(x3991,f7(a17)))),f19(f5(x3991,f7(a17))))),
% 1.34/1.55 inference(scs_inference,[],[58,45,360,356,312,338,354,133,218,254,62,73,3,30,31,2,80])).
% 1.34/1.55 cnf(401,plain,
% 1.34/1.55 (~P5(f24(f24(f24(f24(x4011,x4011),f24(x4011,f24(a1,a1))),f24(f24(x4011,x4011),f24(x4011,f24(a1,a1)))),f24(f24(f24(x4011,x4011),f24(x4011,f24(a1,a1))),f24(x4012,x4012))),f19(f19(f5(x4013,f7(a17)))))),
% 1.34/1.55 inference(scs_inference,[],[58,45,360,356,312,338,354,133,218,254,395,62,73,3,30,31,2,80,113])).
% 1.34/1.55 cnf(407,plain,
% 1.34/1.55 (~P5(f24(f24(f24(f24(x4071,x4071),f24(x4071,f24(a1,a1))),f24(f24(x4071,x4071),f24(x4071,f24(a1,a1)))),f24(f24(f24(x4071,x4071),f24(x4071,f24(a1,a1))),f24(x4072,x4072))),f10(f19(f5(x4073,f7(a17)))))),
% 1.34/1.55 inference(scs_inference,[],[58,50,45,360,356,312,244,338,354,133,218,254,395,62,73,3,30,31,2,80,113,79,106,114])).
% 1.34/1.55 cnf(420,plain,
% 1.34/1.55 (~P5(a26,f24(a25,a25))),
% 1.34/1.55 inference(scs_inference,[],[58,50,123,44,45,360,233,356,312,244,338,354,308,133,218,254,395,62,73,3,30,31,2,80,113,79,106,114,78,96,81,72,109,77])).
% 1.34/1.55 cnf(440,plain,
% 1.34/1.55 (~P5(f19(f5(x4401,f7(a17))),f24(a17,a17))),
% 1.34/1.55 inference(scs_inference,[],[125,50,44,401,387,72,109,77])).
% 1.34/1.55 cnf(446,plain,
% 1.34/1.55 (~P6(a17,f24(a26,a26))),
% 1.34/1.55 inference(scs_inference,[],[125,50,44,401,316,387,277,189,72,109,77,81,32,73])).
% 1.34/1.55 cnf(452,plain,
% 1.34/1.55 (E(f3(x4521),f9(f8(x4521),f7(f8(f9(f6(f8(f10(f5(a4,a17))),x4521),a12)))))),
% 1.34/1.55 inference(scs_inference,[],[125,58,50,44,401,316,387,277,189,72,109,77,81,32,73,62,63,2])).
% 1.34/1.55 cnf(454,plain,
% 1.34/1.55 (~P5(f24(f24(f24(f24(f24(f24(x4541,x4541),f24(x4541,f24(a1,a1))),f24(f24(x4541,x4541),f24(x4541,f24(a1,a1)))),f24(f24(f24(x4541,x4541),f24(x4541,f24(a1,a1))),f24(x4542,x4542))),f24(f24(f24(f24(x4541,x4541),f24(x4541,f24(a1,a1))),f24(f24(x4541,x4541),f24(x4541,f24(a1,a1)))),f24(f24(f24(x4541,x4541),f24(x4541,f24(a1,a1))),f24(x4542,x4542)))),f24(f24(f24(f24(f24(x4541,x4541),f24(x4541,f24(a1,a1))),f24(f24(x4541,x4541),f24(x4541,f24(a1,a1)))),f24(f24(f24(x4541,x4541),f24(x4541,f24(a1,a1))),f24(x4542,x4542))),f24(x4543,x4543))),f5(f19(f19(f5(x4544,f7(a17)))),x4545))),
% 1.34/1.55 inference(scs_inference,[],[125,55,58,50,44,401,316,387,329,277,189,72,109,77,81,32,73,62,63,2,33,101])).
% 1.34/1.55 cnf(456,plain,
% 1.34/1.55 (~P5(f24(f24(x4561,x4561),f24(x4561,f24(f24(f24(f24(f24(x4562,x4562),f24(x4562,f24(a1,a1))),f24(f24(x4562,x4562),f24(x4562,f24(a1,a1)))),f24(f24(f24(x4562,x4562),f24(x4562,f24(a1,a1))),f24(x4563,x4563))),f24(f24(f24(f24(x4562,x4562),f24(x4562,f24(a1,a1))),f24(f24(x4562,x4562),f24(x4562,f24(a1,a1)))),f24(f24(f24(x4562,x4562),f24(x4562,f24(a1,a1))),f24(x4563,x4563)))))),f5(x4564,f19(f19(f5(x4565,f7(a17))))))),
% 1.34/1.55 inference(scs_inference,[],[125,55,58,50,44,401,316,387,329,277,189,72,109,77,81,32,73,62,63,2,33,101,100])).
% 1.34/1.55 cnf(468,plain,
% 1.34/1.55 (E(a26,a23)),
% 1.34/1.55 inference(scs_inference,[],[389,233,77])).
% 1.34/1.55 cnf(470,plain,
% 1.34/1.55 (~P6(a17,f5(f19(f19(f5(x4701,f7(a17)))),x4702))),
% 1.34/1.55 inference(scs_inference,[],[50,454,389,233,77,73])).
% 1.34/1.55 cnf(473,plain,
% 1.34/1.55 (~E(f24(a26,a26),a17)),
% 1.34/1.55 inference(scs_inference,[],[50,454,446,389,233,77,73,62])).
% 1.34/1.55 cnf(475,plain,
% 1.34/1.55 (~E(a17,f24(a26,a26))),
% 1.34/1.55 inference(scs_inference,[],[50,454,446,389,233,77,73,62,63])).
% 1.34/1.55 cnf(477,plain,
% 1.34/1.55 (E(f9(f8(f24(a23,a25)),f7(f8(f9(f6(f8(f10(f5(a4,a17))),f24(a23,a25)),a12)))),f9(f8(f24(a23,a26)),f7(f8(f9(f6(f8(f10(f5(a4,a17))),f24(a23,a26)),a12)))))),
% 1.34/1.55 inference(scs_inference,[],[50,454,452,340,446,389,233,77,73,62,63,3])).
% 1.34/1.55 cnf(508,plain,
% 1.34/1.55 (E(f24(f24(f11(f24(f24(a1,a1),f24(a1,f24(a1,a1)))),f11(f24(f24(a1,a1),f24(a1,f24(a1,a1))))),f24(f11(f24(f24(a1,a1),f24(a1,f24(a1,a1)))),f24(f22(f24(f24(a1,a1),f24(a1,f24(a1,a1)))),f22(f24(f24(a1,a1),f24(a1,f24(a1,a1))))))),f24(f24(a1,a1),f24(a1,f24(a1,a1))))),
% 1.34/1.55 inference(scs_inference,[],[191,95])).
% 1.34/1.55 cnf(515,plain,
% 1.34/1.55 (P6(x5151,a17)),
% 1.34/1.55 inference(rename_variables,[],[46])).
% 1.34/1.55 cnf(519,plain,
% 1.34/1.55 (P6(f9(f8(f24(a23,a25)),f7(f8(f9(f6(f8(f10(f5(a4,a17))),f24(a23,a25)),a12)))),f9(f8(f24(a23,a26)),f7(f8(f9(f6(f8(f10(f5(a4,a17))),f24(a23,a26)),a12)))))),
% 1.34/1.55 inference(scs_inference,[],[127,46,57,440,477,475,191,95,77,98,73,62,63])).
% 1.34/1.55 cnf(526,plain,
% 1.34/1.55 (~E(a17,f24(a25,a25))),
% 1.34/1.55 inference(scs_inference,[],[127,46,123,57,440,477,475,420,456,360,452,191,95,77,98,73,62,63,3,30,31])).
% 1.34/1.55 cnf(537,plain,
% 1.34/1.55 (P5(a25,f24(x5371,a25))),
% 1.34/1.55 inference(scs_inference,[],[127,46,515,125,123,57,440,477,475,420,456,360,452,191,95,77,98,73,62,63,3,30,31,2,110,112,90,75,74])).
% 1.34/1.55 cnf(539,plain,
% 1.34/1.55 (~P5(a13,f7(a1))),
% 1.34/1.55 inference(scs_inference,[],[127,46,515,125,123,57,440,477,475,420,456,360,452,191,95,77,98,73,62,63,3,30,31,2,110,112,90,75,74,71])).
% 1.34/1.55 cnf(564,plain,
% 1.34/1.55 (E(f5(x5641,f9(f8(f10(f5(a21,a17))),a21)),f5(x5641,a12))),
% 1.34/1.55 inference(scs_inference,[],[127,46,515,125,55,123,57,440,477,475,420,456,360,452,191,95,77,98,73,62,63,3,30,31,2,110,112,90,75,74,71,96,6,22,16,26,25,24,23,14,9,20,19,13,12,11,10,4,27,21,18,17,15,8])).
% 1.34/1.55 cnf(575,plain,
% 1.34/1.55 (~P5(f24(a26,a26),f24(a17,a17))),
% 1.34/1.55 inference(scs_inference,[],[127,473,96,77])).
% 1.34/1.55 cnf(583,plain,
% 1.34/1.55 (~E(a23,a25)),
% 1.34/1.55 inference(scs_inference,[],[127,473,539,468,470,233,96,77,73,62,63,3])).
% 1.34/1.55 cnf(584,plain,
% 1.34/1.55 (P5(a23,f24(a26,x5841))),
% 1.34/1.55 inference(scs_inference,[],[127,473,539,468,470,352,233,96,77,73,62,63,3,30])).
% 1.34/1.55 cnf(585,plain,
% 1.34/1.55 (P5(a25,f24(a23,a26))),
% 1.34/1.55 inference(scs_inference,[],[127,473,537,539,468,470,352,233,47,96,77,73,62,63,3,30,31])).
% 1.34/1.55 cnf(588,plain,
% 1.34/1.55 (~E(a17,f7(a1))),
% 1.34/1.55 inference(scs_inference,[],[127,46,473,526,537,539,468,470,352,233,47,96,77,73,62,63,3,30,31,2,33])).
% 1.34/1.55 cnf(603,plain,
% 1.34/1.55 (E(f5(f9(f8(x6031),f7(f8(f9(f6(f8(f10(f5(a4,a17))),x6031),a12)))),x6032),f5(f3(x6031),x6032))),
% 1.34/1.55 inference(scs_inference,[],[127,46,52,58,399,473,526,537,539,468,470,352,407,233,47,96,77,73,62,63,3,30,31,2,33,80,113,64,79,78,114,42,7])).
% 1.34/1.55 cnf(614,plain,
% 1.34/1.55 (P5(f24(x6141,x6142),a17)),
% 1.34/1.55 inference(rename_variables,[],[50])).
% 1.34/1.55 cnf(626,plain,
% 1.34/1.55 (E(f5(f9(f8(x6261),f7(f8(f9(f6(f8(f10(f5(a4,a17))),x6261),a12)))),x6262),f5(f3(x6261),x6262))),
% 1.34/1.55 inference(rename_variables,[],[603])).
% 1.34/1.55 cnf(633,plain,
% 1.34/1.55 (~E(a25,a23)),
% 1.34/1.55 inference(scs_inference,[],[46,50,614,58,575,603,626,508,519,588,584,583,564,227,77,73,62,69,63,30,3,31,2,33,324])).
% 1.34/1.55 cnf(636,plain,
% 1.34/1.55 (~P5(f24(f24(f24(a26,a26),f24(a26,a26)),f24(f24(a26,a26),f24(x6361,x6361))),f5(f24(a17,a17),x6362))),
% 1.34/1.55 inference(scs_inference,[],[46,50,614,58,575,603,626,508,519,588,584,583,564,227,77,73,62,69,63,30,3,31,2,33,324,100,101])).
% 1.34/1.55 cnf(748,plain,
% 1.34/1.55 ($false),
% 1.34/1.55 inference(scs_inference,[],[636,633,585,59,98,77]),
% 1.34/1.55 ['proof']).
% 1.34/1.55 % SZS output end Proof
% 1.34/1.55 % Total time :0.860000s
%------------------------------------------------------------------------------