TSTP Solution File: SET103-6 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET103-6 : 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 : n027.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 14:28:45 EDT 2023
% Result : Unsatisfiable 0.96s 1.03s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET103-6 : 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
% 0.13/0.35 % Computer : n027.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 11:06:04 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.96/1.02 %-------------------------------------------
% 0.96/1.02 % File :CSE---1.6
% 0.96/1.02 % Problem :theBenchmark
% 0.96/1.02 % Transform :cnf
% 0.96/1.02 % Format :tptp:raw
% 0.96/1.02 % Command :java -jar mcs_scs.jar %d %s
% 0.96/1.02
% 0.96/1.02 % Result :Theorem 0.370000s
% 0.96/1.02 % Output :CNFRefutation 0.370000s
% 0.96/1.02 %-------------------------------------------
% 0.96/1.02 %--------------------------------------------------------------------------
% 0.96/1.02 % File : SET103-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.96/1.02 % Domain : Set Theory
% 0.96/1.02 % Problem : Special member 1 of an ordered pair
% 0.96/1.02 % Version : [Qua92] axioms.
% 0.96/1.02 % English :
% 0.96/1.02
% 0.96/1.02 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 0.96/1.02 % Source : [Quaife]
% 0.96/1.02 % Names :
% 0.96/1.02
% 0.96/1.02 % Status : Unsatisfiable
% 0.96/1.02 % Rating : 0.24 v8.1.0, 0.16 v7.5.0, 0.32 v7.4.0, 0.29 v7.3.0, 0.33 v7.1.0, 0.25 v7.0.0, 0.53 v6.3.0, 0.45 v6.2.0, 0.50 v6.1.0, 0.57 v6.0.0, 0.60 v5.5.0, 0.75 v5.3.0, 0.78 v5.2.0, 0.69 v5.1.0, 0.71 v5.0.0, 0.64 v4.1.0, 0.69 v4.0.1, 0.73 v4.0.0, 0.64 v3.7.0, 0.50 v3.5.0, 0.55 v3.4.0, 0.50 v3.3.0, 0.57 v3.2.0, 0.54 v3.1.0, 0.55 v2.7.0, 0.50 v2.6.0, 0.44 v2.5.0, 0.45 v2.4.0, 0.25 v2.3.0, 0.50 v2.2.1, 0.50 v2.2.0, 0.67 v2.1.0
% 0.96/1.02 % Syntax : Number of clauses : 93 ( 31 unt; 8 nHn; 64 RR)
% 0.96/1.02 % Number of literals : 183 ( 40 equ; 86 neg)
% 0.96/1.02 % Maximal clause size : 5 ( 1 avg)
% 0.96/1.02 % Maximal term depth : 6 ( 1 avg)
% 0.96/1.02 % Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% 0.96/1.02 % Number of functors : 40 ( 40 usr; 10 con; 0-3 aty)
% 0.96/1.02 % Number of variables : 176 ( 25 sgn)
% 0.96/1.02 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.96/1.02
% 0.96/1.03 % Comments :
% 0.96/1.03 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 0.96/1.03 %--------------------------------------------------------------------------
% 0.96/1.03 %----Include von Neuman-Bernays-Godel set theory axioms
% 0.96/1.03 include('Axioms/SET004-0.ax').
% 0.96/1.03 %--------------------------------------------------------------------------
% 0.96/1.03 cnf(prove_property_1_of_ordered_pair_1,negated_conjecture,
% 0.96/1.03 unordered_pair(singleton(x),unordered_pair(x,null_class)) != ordered_pair(x,y) ).
% 0.96/1.03
% 0.96/1.03 cnf(prove_property_1_of_ordered_pair_2,negated_conjecture,
% 0.96/1.03 ~ member(y,universal_class) ).
% 0.96/1.03
% 0.96/1.03 %--------------------------------------------------------------------------
% 0.96/1.03 %-------------------------------------------
% 0.96/1.03 % Proof found
% 0.96/1.03 % SZS status Theorem for theBenchmark
% 0.96/1.03 % SZS output start Proof
% 0.96/1.03 %ClaNum:120(EqnAxiom:42)
% 0.96/1.03 %VarNum:718(SingletonVarNum:150)
% 0.96/1.03 %MaxLitNum:5
% 0.96/1.03 %MaxfuncDepth:24
% 0.96/1.03 %SharedTerms:39
% 0.96/1.03 %goalClause: 57 58
% 0.96/1.03 %singleGoalClaCount:2
% 0.96/1.03 [43]P1(a1)
% 0.96/1.03 [44]P2(a2)
% 0.96/1.03 [45]P5(a1,a17)
% 0.96/1.03 [57]~P5(a24,a17)
% 0.96/1.03 [47]P6(a4,f5(a17,a17))
% 0.96/1.03 [48]P6(a18,f5(a17,a17))
% 0.96/1.03 [58]~E(f23(f23(a25,a25),f23(a25,f23(a24,a24))),f23(f23(a25,a25),f23(a25,a13)))
% 0.96/1.03 [54]E(f9(f8(f10(f5(a21,a17))),a21),a12)
% 0.96/1.03 [55]E(f9(f5(a17,a17),f9(f5(a17,a17),f7(f6(f7(a4),f8(f10(f5(a4,a17))))))),a21)
% 0.96/1.03 [46]P6(x461,a17)
% 0.96/1.03 [52]P6(f19(x521),f5(f5(a17,a17),a17))
% 0.96/1.03 [53]P6(f10(x531),f5(f5(a17,a17),a17))
% 0.96/1.03 [56]E(f9(f8(x561),f7(f8(f9(f6(f8(f10(f5(a4,a17))),x561),a12)))),f3(x561))
% 0.96/1.03 [49]P5(f23(x491,x492),a17)
% 0.96/1.03 [50]P6(f6(x501,x502),f5(a17,a17))
% 0.96/1.03 [51]E(f9(f5(x511,x512),x513),f9(x513,f5(x511,x512)))
% 0.96/1.03 [59]~P7(x591)+P2(x591)
% 0.96/1.03 [60]~P8(x601)+P2(x601)
% 0.96/1.03 [63]~P1(x631)+P6(a1,x631)
% 0.96/1.03 [64]~P1(x641)+P5(a13,x641)
% 0.96/1.03 [66]P5(f20(x661),x661)+E(x661,a13)
% 0.96/1.03 [67]~P2(x671)+P6(x671,f5(a17,a17))
% 0.96/1.03 [65]E(x651,a13)+E(f9(x651,f20(x651)),a13)
% 0.96/1.03 [75]~P8(x751)+E(f5(f8(f8(x751)),f8(f8(x751))),f8(x751))
% 0.96/1.03 [85]~P7(x851)+P2(f8(f10(f5(x851,a17))))
% 0.96/1.03 [89]~P5(x891,a17)+P5(f8(f9(a4,f5(a17,x891))),a17)
% 0.96/1.03 [91]~P9(x911)+P6(f6(x911,f8(f10(f5(x911,a17)))),a12)
% 0.96/1.03 [92]~P2(x921)+P6(f6(x921,f8(f10(f5(x921,a17)))),a12)
% 0.96/1.03 [93]~P8(x931)+P6(f8(f8(f10(f5(x931,a17)))),f8(f8(x931)))
% 0.96/1.03 [98]P9(x981)+~P6(f6(x981,f8(f10(f5(x981,a17)))),a12)
% 0.96/1.03 [107]~P1(x1071)+P6(f8(f8(f10(f5(f9(a18,f5(x1071,a17)),a17)))),x1071)
% 0.96/1.03 [111]~P5(x1111,a17)+P5(f7(f8(f8(f10(f5(f9(a4,f5(f7(x1111),a17)),a17))))),a17)
% 0.96/1.03 [61]~E(x612,x611)+P6(x611,x612)
% 0.96/1.03 [62]~E(x621,x622)+P6(x621,x622)
% 0.96/1.03 [69]P6(x691,x692)+P5(f14(x691,x692),x691)
% 0.96/1.03 [70]~P5(x701,x702)+~P5(x701,f7(x702))
% 0.96/1.03 [73]~P5(x731,a17)+P5(x731,f23(x732,x731))
% 0.96/1.03 [74]~P5(x741,a17)+P5(x741,f23(x741,x742))
% 0.96/1.03 [79]P6(x791,x792)+~P5(f14(x791,x792),x792)
% 0.96/1.03 [88]~P5(x882,f8(x881))+~E(f9(x881,f5(f23(x882,x882),a17)),a13)
% 0.96/1.03 [97]P5(x971,x972)+~P5(f23(f23(x971,x971),f23(x971,f23(x972,x972))),a4)
% 0.96/1.03 [104]~P5(f23(f23(x1041,x1041),f23(x1041,f23(x1042,x1042))),a18)+E(f7(f9(f7(x1041),f7(f23(x1041,x1041)))),x1042)
% 0.96/1.03 [81]P2(x811)+~P3(x811,x812,x813)
% 0.96/1.03 [82]P8(x821)+~P4(x822,x823,x821)
% 0.96/1.03 [83]P8(x831)+~P4(x832,x831,x833)
% 0.96/1.03 [87]~P4(x871,x872,x873)+P3(x871,x872,x873)
% 0.96/1.03 [77]P5(x771,x772)+~P5(x771,f9(x773,x772))
% 0.96/1.03 [78]P5(x781,x782)+~P5(x781,f9(x782,x783))
% 0.96/1.03 [84]~P3(x842,x841,x843)+E(f8(f8(x841)),f8(x842))
% 0.96/1.03 [94]~P5(x941,f5(x942,x943))+E(f23(f23(f11(x941),f11(x941)),f23(f11(x941),f23(f22(x941),f22(x941)))),x941)
% 0.96/1.03 [96]~P3(x961,x963,x962)+P6(f8(f8(f10(f5(x961,a17)))),f8(f8(x962)))
% 0.96/1.03 [99]P5(x991,x992)+~P5(f23(f23(x993,x993),f23(x993,f23(x991,x991))),f5(x994,x992))
% 0.96/1.03 [100]P5(x1001,x1002)+~P5(f23(f23(x1001,x1001),f23(x1001,f23(x1003,x1003))),f5(x1002,x1004))
% 0.96/1.03 [112]~P5(f23(f23(f23(f23(x1123,x1123),f23(x1123,f23(x1121,x1121))),f23(f23(x1123,x1123),f23(x1123,f23(x1121,x1121)))),f23(f23(f23(x1123,x1123),f23(x1123,f23(x1121,x1121))),f23(x1122,x1122))),f19(x1124))+P5(f23(f23(f23(f23(x1121,x1121),f23(x1121,f23(x1122,x1122))),f23(f23(x1121,x1121),f23(x1121,f23(x1122,x1122)))),f23(f23(f23(x1121,x1121),f23(x1121,f23(x1122,x1122))),f23(x1123,x1123))),x1124)
% 0.96/1.03 [113]~P5(f23(f23(f23(f23(x1132,x1132),f23(x1132,f23(x1131,x1131))),f23(f23(x1132,x1132),f23(x1132,f23(x1131,x1131)))),f23(f23(f23(x1132,x1132),f23(x1132,f23(x1131,x1131))),f23(x1133,x1133))),f10(x1134))+P5(f23(f23(f23(f23(x1131,x1131),f23(x1131,f23(x1132,x1132))),f23(f23(x1131,x1131),f23(x1131,f23(x1132,x1132)))),f23(f23(f23(x1131,x1131),f23(x1131,f23(x1132,x1132))),f23(x1133,x1133))),x1134)
% 0.96/1.03 [117]~P5(f23(f23(x1174,x1174),f23(x1174,f23(x1171,x1171))),f6(x1172,x1173))+P5(x1171,f8(f8(f10(f5(f9(x1172,f5(f8(f8(f10(f5(f9(x1173,f5(f23(x1174,x1174),a17)),a17)))),a17)),a17)))))
% 0.96/1.03 [90]~P2(x901)+P7(x901)+~P2(f8(f10(f5(x901,a17))))
% 0.96/1.03 [101]P2(x1011)+~P6(x1011,f5(a17,a17))+~P6(f6(x1011,f8(f10(f5(x1011,a17)))),a12)
% 0.96/1.03 [109]P1(x1091)+~P5(a13,x1091)+~P6(f8(f8(f10(f5(f9(a18,f5(x1091,a17)),a17)))),x1091)
% 0.96/1.03 [116]~P5(x1161,a17)+E(x1161,a13)+P5(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(a2,f5(f23(x1161,x1161),a17)),a17))))))),x1161)
% 0.96/1.03 [68]~P6(x682,x681)+~P6(x681,x682)+E(x681,x682)
% 0.96/1.03 [71]P5(x711,x712)+P5(x711,f7(x712))+~P5(x711,a17)
% 0.96/1.03 [86]P5(x862,f8(x861))+~P5(x862,a17)+E(f9(x861,f5(f23(x862,x862),a17)),a13)
% 0.96/1.03 [105]~P5(x1051,x1052)+~P5(f23(f23(x1051,x1051),f23(x1051,f23(x1052,x1052))),f5(a17,a17))+P5(f23(f23(x1051,x1051),f23(x1051,f23(x1052,x1052))),a4)
% 0.96/1.03 [106]~P5(f23(f23(x1061,x1061),f23(x1061,f23(x1062,x1062))),f5(a17,a17))+~E(f7(f9(f7(x1061),f7(f23(x1061,x1061)))),x1062)+P5(f23(f23(x1061,x1061),f23(x1061,f23(x1062,x1062))),a18)
% 0.96/1.03 [108]~P2(x1081)+~P5(x1082,a17)+P5(f8(f8(f10(f5(f9(x1081,f5(x1082,a17)),a17)))),a17)
% 0.96/1.03 [72]~P5(x721,x723)+P5(x721,x722)+~P6(x723,x722)
% 0.96/1.03 [76]E(x761,x762)+E(x761,x763)+~P5(x761,f23(x763,x762))
% 0.96/1.03 [80]~P5(x801,x803)+~P5(x801,x802)+P5(x801,f9(x802,x803))
% 0.96/1.03 [95]~P5(x952,x954)+~P5(x951,x953)+P5(f23(f23(x951,x951),f23(x951,f23(x952,x952))),f5(x953,x954))
% 0.96/1.03 [114]~P5(f23(f23(f23(f23(x1142,x1142),f23(x1142,f23(x1143,x1143))),f23(f23(x1142,x1142),f23(x1142,f23(x1143,x1143)))),f23(f23(f23(x1142,x1142),f23(x1142,f23(x1143,x1143))),f23(x1141,x1141))),x1144)+P5(f23(f23(f23(f23(x1141,x1141),f23(x1141,f23(x1142,x1142))),f23(f23(x1141,x1141),f23(x1141,f23(x1142,x1142)))),f23(f23(f23(x1141,x1141),f23(x1141,f23(x1142,x1142))),f23(x1143,x1143))),f19(x1144))+~P5(f23(f23(f23(f23(x1141,x1141),f23(x1141,f23(x1142,x1142))),f23(f23(x1141,x1141),f23(x1141,f23(x1142,x1142)))),f23(f23(f23(x1141,x1141),f23(x1141,f23(x1142,x1142))),f23(x1143,x1143))),f5(f5(a17,a17),a17))
% 0.96/1.03 [115]~P5(f23(f23(f23(f23(x1152,x1152),f23(x1152,f23(x1151,x1151))),f23(f23(x1152,x1152),f23(x1152,f23(x1151,x1151)))),f23(f23(f23(x1152,x1152),f23(x1152,f23(x1151,x1151))),f23(x1153,x1153))),x1154)+P5(f23(f23(f23(f23(x1151,x1151),f23(x1151,f23(x1152,x1152))),f23(f23(x1151,x1151),f23(x1151,f23(x1152,x1152)))),f23(f23(f23(x1151,x1151),f23(x1151,f23(x1152,x1152))),f23(x1153,x1153))),f10(x1154))+~P5(f23(f23(f23(f23(x1151,x1151),f23(x1151,f23(x1152,x1152))),f23(f23(x1151,x1151),f23(x1151,f23(x1152,x1152)))),f23(f23(f23(x1151,x1151),f23(x1151,f23(x1152,x1152))),f23(x1153,x1153))),f5(f5(a17,a17),a17))
% 0.96/1.03 [118]P5(f23(f23(x1181,x1181),f23(x1181,f23(x1182,x1182))),f6(x1183,x1184))+~P5(f23(f23(x1181,x1181),f23(x1181,f23(x1182,x1182))),f5(a17,a17))+~P5(x1182,f8(f8(f10(f5(f9(x1183,f5(f8(f8(f10(f5(f9(x1184,f5(f23(x1181,x1181),a17)),a17)))),a17)),a17)))))
% 0.96/1.03 [119]~P4(x1192,x1195,x1191)+~P5(f23(f23(x1193,x1193),f23(x1193,f23(x1194,x1194))),f8(x1195))+E(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1191,f5(f23(f23(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f23(x1193,x1193),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f23(x1193,x1193),a17)),a17)))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f23(x1193,x1193),a17)),a17))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f23(x1194,x1194),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f23(x1194,x1194),a17)),a17)))))))))),f23(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f23(x1193,x1193),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f23(x1193,x1193),a17)),a17)))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f23(x1193,x1193),a17)),a17))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f23(x1194,x1194),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f23(x1194,x1194),a17)),a17))))))))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1195,f5(f23(f23(f23(x1193,x1193),f23(x1193,f23(x1194,x1194))),f23(f23(x1193,x1193),f23(x1193,f23(x1194,x1194)))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1195,f5(f23(f23(f23(x1193,x1193),f23(x1193,f23(x1194,x1194))),f23(f23(x1193,x1193),f23(x1193,f23(x1194,x1194)))),a17)),a17)))))))),a17)),a17))))))))
% 0.96/1.03 [103]~P2(x1031)+P8(x1031)+~E(f5(f8(f8(x1031)),f8(f8(x1031))),f8(x1031))+~P6(f8(f8(f10(f5(x1031,a17)))),f8(f8(x1031)))
% 0.96/1.03 [102]~P2(x1021)+P3(x1021,x1022,x1023)+~E(f8(f8(x1022)),f8(x1021))+~P6(f8(f8(f10(f5(x1021,a17)))),f8(f8(x1023)))
% 0.96/1.03 [110]~P8(x1103)+~P8(x1102)+~P3(x1101,x1102,x1103)+P4(x1101,x1102,x1103)+P5(f23(f23(f15(x1101,x1102,x1103),f15(x1101,x1102,x1103)),f23(f15(x1101,x1102,x1103),f23(f16(x1101,x1102,x1103),f16(x1101,x1102,x1103)))),f8(x1102))
% 0.96/1.03 [120]~P8(x1203)+~P8(x1202)+~P3(x1201,x1202,x1203)+P4(x1201,x1202,x1203)+~E(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1203,f5(f23(f23(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f23(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f23(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),a17)),a17)))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f23(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),a17)),a17))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f23(f16(x1201,x1202,x1203),f16(x1201,x1202,x1203)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f23(f16(x1201,x1202,x1203),f16(x1201,x1202,x1203)),a17)),a17)))))))))),f23(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f23(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f23(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),a17)),a17)))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f23(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),a17)),a17))))))),f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f23(f16(x1201,x1202,x1203),f16(x1201,x1202,x1203)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f23(f16(x1201,x1202,x1203),f16(x1201,x1202,x1203)),a17)),a17))))))))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f23(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f23(f23(f23(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),f23(f15(x1201,x1202,x1203),f23(f16(x1201,x1202,x1203),f16(x1201,x1202,x1203)))),f23(f23(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),f23(f15(x1201,x1202,x1203),f23(f16(x1201,x1202,x1203),f16(x1201,x1202,x1203))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f23(f23(f23(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),f23(f15(x1201,x1202,x1203),f23(f16(x1201,x1202,x1203),f16(x1201,x1202,x1203)))),f23(f23(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),f23(f15(x1201,x1202,x1203),f23(f16(x1201,x1202,x1203),f16(x1201,x1202,x1203))))),a17)),a17)))))))),a17)),a17))))))))
% 0.96/1.03 %EqnAxiom
% 0.96/1.03 [1]E(x11,x11)
% 0.96/1.03 [2]E(x22,x21)+~E(x21,x22)
% 0.96/1.03 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.96/1.03 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 0.96/1.03 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 0.96/1.03 [6]~E(x61,x62)+E(f8(x61),f8(x62))
% 0.96/1.03 [7]~E(x71,x72)+E(f23(x71,x73),f23(x72,x73))
% 0.96/1.03 [8]~E(x81,x82)+E(f23(x83,x81),f23(x83,x82))
% 0.96/1.03 [9]~E(x91,x92)+E(f6(x91,x93),f6(x92,x93))
% 0.96/1.03 [10]~E(x101,x102)+E(f6(x103,x101),f6(x103,x102))
% 0.96/1.03 [11]~E(x111,x112)+E(f9(x111,x113),f9(x112,x113))
% 0.96/1.03 [12]~E(x121,x122)+E(f9(x123,x121),f9(x123,x122))
% 0.96/1.03 [13]~E(x131,x132)+E(f16(x131,x133,x134),f16(x132,x133,x134))
% 0.96/1.03 [14]~E(x141,x142)+E(f16(x143,x141,x144),f16(x143,x142,x144))
% 0.96/1.03 [15]~E(x151,x152)+E(f16(x153,x154,x151),f16(x153,x154,x152))
% 0.96/1.03 [16]~E(x161,x162)+E(f10(x161),f10(x162))
% 0.96/1.03 [17]~E(x171,x172)+E(f15(x171,x173,x174),f15(x172,x173,x174))
% 0.96/1.03 [18]~E(x181,x182)+E(f15(x183,x181,x184),f15(x183,x182,x184))
% 0.96/1.03 [19]~E(x191,x192)+E(f15(x193,x194,x191),f15(x193,x194,x192))
% 0.96/1.03 [20]~E(x201,x202)+E(f7(x201),f7(x202))
% 0.96/1.03 [21]~E(x211,x212)+E(f19(x211),f19(x212))
% 0.96/1.03 [22]~E(x221,x222)+E(f3(x221),f3(x222))
% 0.96/1.03 [23]~E(x231,x232)+E(f22(x231),f22(x232))
% 0.96/1.03 [24]~E(x241,x242)+E(f14(x241,x243),f14(x242,x243))
% 0.96/1.03 [25]~E(x251,x252)+E(f14(x253,x251),f14(x253,x252))
% 0.96/1.03 [26]~E(x261,x262)+E(f11(x261),f11(x262))
% 0.96/1.03 [27]~E(x271,x272)+E(f20(x271),f20(x272))
% 0.96/1.03 [28]~P1(x281)+P1(x282)+~E(x281,x282)
% 0.96/1.03 [29]~P2(x291)+P2(x292)+~E(x291,x292)
% 0.96/1.03 [30]P5(x302,x303)+~E(x301,x302)+~P5(x301,x303)
% 0.96/1.03 [31]P5(x313,x312)+~E(x311,x312)+~P5(x313,x311)
% 0.96/1.03 [32]P6(x322,x323)+~E(x321,x322)+~P6(x321,x323)
% 0.96/1.03 [33]P6(x333,x332)+~E(x331,x332)+~P6(x333,x331)
% 0.96/1.03 [34]P4(x342,x343,x344)+~E(x341,x342)+~P4(x341,x343,x344)
% 0.96/1.03 [35]P4(x353,x352,x354)+~E(x351,x352)+~P4(x353,x351,x354)
% 0.96/1.03 [36]P4(x363,x364,x362)+~E(x361,x362)+~P4(x363,x364,x361)
% 0.96/1.03 [37]~P8(x371)+P8(x372)+~E(x371,x372)
% 0.96/1.03 [38]P3(x382,x383,x384)+~E(x381,x382)+~P3(x381,x383,x384)
% 0.96/1.03 [39]P3(x393,x392,x394)+~E(x391,x392)+~P3(x393,x391,x394)
% 0.96/1.03 [40]P3(x403,x404,x402)+~E(x401,x402)+~P3(x403,x404,x401)
% 0.96/1.03 [41]~P7(x411)+P7(x412)+~E(x411,x412)
% 0.96/1.03 [42]~P9(x421)+P9(x422)+~E(x421,x422)
% 0.96/1.03
% 0.96/1.03 %-------------------------------------------
% 0.96/1.03 cnf(121,plain,
% 0.96/1.03 (E(a12,f9(f8(f10(f5(a21,a17))),a21))),
% 0.96/1.03 inference(scs_inference,[],[54,2])).
% 0.96/1.03 cnf(122,plain,
% 0.96/1.03 (~E(f23(a25,f23(a24,a24)),f23(a25,a13))),
% 0.96/1.03 inference(scs_inference,[],[54,58,2,8])).
% 0.96/1.03 cnf(123,plain,
% 0.96/1.03 (~E(a1,a24)),
% 0.96/1.03 inference(scs_inference,[],[57,45,54,58,2,8,30])).
% 0.96/1.03 cnf(124,plain,
% 0.96/1.03 (P5(a13,a1)),
% 0.96/1.03 inference(scs_inference,[],[57,43,45,54,58,2,8,30,64])).
% 0.96/1.03 cnf(128,plain,
% 0.96/1.03 (P6(f9(f8(f10(f5(a21,a17))),a21),a12)),
% 0.96/1.03 inference(scs_inference,[],[57,43,45,54,58,2,8,30,64,63,62])).
% 0.96/1.03 cnf(158,plain,
% 0.96/1.03 (E(f15(x1581,x1582,f9(f8(f10(f5(a21,a17))),a21)),f15(x1581,x1582,a12))),
% 0.96/1.03 inference(scs_inference,[],[57,43,44,45,54,58,2,8,30,64,63,62,61,67,111,107,89,78,77,74,73,70,27,26,25,24,23,22,21,20,19])).
% 0.96/1.03 cnf(159,plain,
% 0.96/1.03 (E(f15(x1591,f9(f8(f10(f5(a21,a17))),a21),x1592),f15(x1591,a12,x1592))),
% 0.96/1.03 inference(scs_inference,[],[57,43,44,45,54,58,2,8,30,64,63,62,61,67,111,107,89,78,77,74,73,70,27,26,25,24,23,22,21,20,19,18])).
% 0.96/1.03 cnf(160,plain,
% 0.96/1.03 (E(f15(f9(f8(f10(f5(a21,a17))),a21),x1601,x1602),f15(a12,x1601,x1602))),
% 0.96/1.03 inference(scs_inference,[],[57,43,44,45,54,58,2,8,30,64,63,62,61,67,111,107,89,78,77,74,73,70,27,26,25,24,23,22,21,20,19,18,17])).
% 0.96/1.03 cnf(169,plain,
% 0.96/1.03 (E(f23(f9(f8(f10(f5(a21,a17))),a21),x1691),f23(a12,x1691))),
% 0.96/1.03 inference(scs_inference,[],[57,43,44,45,54,58,2,8,30,64,63,62,61,67,111,107,89,78,77,74,73,70,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7])).
% 0.96/1.03 cnf(175,plain,
% 0.96/1.03 (~P5(f23(f23(x1751,x1751),f23(x1751,f23(a24,a24))),f5(x1752,a17))),
% 0.96/1.03 inference(scs_inference,[],[57,43,44,45,54,58,2,8,30,64,63,62,61,67,111,107,89,78,77,74,73,70,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,92,99])).
% 0.96/1.03 cnf(177,plain,
% 0.96/1.03 (~P5(f23(f23(a24,a24),f23(a24,f23(x1771,x1771))),f5(a17,x1772))),
% 0.96/1.03 inference(scs_inference,[],[57,43,44,45,54,58,2,8,30,64,63,62,61,67,111,107,89,78,77,74,73,70,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,92,99,100])).
% 0.96/1.03 cnf(182,plain,
% 0.96/1.03 (~P6(a17,f7(a17))),
% 0.96/1.03 inference(scs_inference,[],[57,43,44,45,54,58,2,8,30,64,63,62,61,67,111,107,89,78,77,74,73,70,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,92,99,100,97,31,72])).
% 0.96/1.03 cnf(190,plain,
% 0.96/1.03 (~P5(f23(f23(a25,a25),f23(a25,f23(a24,a24))),f23(f23(f23(a25,a25),f23(a25,a13)),f23(f23(a25,a25),f23(a25,a13))))),
% 0.96/1.04 inference(scs_inference,[],[57,43,44,45,54,58,2,8,30,64,63,62,61,67,111,107,89,78,77,74,73,70,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,92,99,100,97,31,72,71,108,80,76])).
% 0.96/1.04 cnf(192,plain,
% 0.96/1.04 (P5(f23(f23(a1,a1),f23(a1,f23(a1,a1))),f5(a17,a17))),
% 0.96/1.04 inference(scs_inference,[],[57,43,44,45,54,58,2,8,30,64,63,62,61,67,111,107,89,78,77,74,73,70,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,92,99,100,97,31,72,71,108,80,76,95])).
% 0.96/1.04 cnf(194,plain,
% 0.96/1.04 (P9(a2)),
% 0.96/1.04 inference(scs_inference,[],[57,43,44,45,54,58,2,8,30,64,63,62,61,67,111,107,89,78,77,74,73,70,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,92,99,100,97,31,72,71,108,80,76,95,98])).
% 0.96/1.04 cnf(225,plain,
% 0.96/1.04 (P5(f14(a17,f7(a17)),a17)),
% 0.96/1.04 inference(scs_inference,[],[182,79,69])).
% 0.96/1.04 cnf(234,plain,
% 0.96/1.04 (~P5(f23(a25,f23(a24,a24)),f23(f23(a25,a13),f23(a25,a13)))),
% 0.96/1.04 inference(scs_inference,[],[49,54,192,122,128,182,79,69,94,32,61,80,76])).
% 0.96/1.04 cnf(236,plain,
% 0.96/1.04 (~E(f23(f23(a25,a25),f23(a25,a13)),f23(f23(a25,a25),f23(a25,f23(a24,a24))))),
% 0.96/1.04 inference(scs_inference,[],[49,58,54,192,122,128,182,79,69,94,32,61,80,76,2])).
% 0.96/1.04 cnf(237,plain,
% 0.96/1.04 (~E(a17,f7(a17))),
% 0.96/1.04 inference(scs_inference,[],[49,58,54,192,122,128,182,79,69,94,32,61,80,76,2,62])).
% 0.96/1.04 cnf(240,plain,
% 0.96/1.04 (E(f15(x2401,f9(f8(f10(f5(a21,a17))),a21),f9(f8(f10(f5(a21,a17))),a21)),f15(x2401,a12,a12))),
% 0.96/1.04 inference(scs_inference,[],[57,49,58,54,192,158,159,122,128,182,79,69,94,32,61,80,76,2,62,30,3])).
% 0.96/1.04 cnf(244,plain,
% 0.96/1.04 (P5(f23(x2441,x2442),a17)),
% 0.96/1.04 inference(rename_variables,[],[49])).
% 0.96/1.04 cnf(248,plain,
% 0.96/1.04 (~P5(a24,x2481)),
% 0.96/1.04 inference(scs_inference,[],[57,46,49,244,58,44,54,192,158,159,175,122,128,182,79,69,94,32,61,80,76,2,62,30,3,71,108,72])).
% 0.96/1.04 cnf(253,plain,
% 0.96/1.04 (~E(a17,f5(x2531,a17))),
% 0.96/1.04 inference(scs_inference,[],[57,46,49,244,51,58,44,54,192,158,159,175,122,121,128,182,194,79,69,94,32,61,80,76,2,62,30,3,71,108,72,8,33,42,31])).
% 0.96/1.04 cnf(275,plain,
% 0.96/1.04 (~P5(f23(f23(x2751,x2751),f23(x2751,f23(a24,a24))),f6(x2752,x2753))),
% 0.96/1.04 inference(scs_inference,[],[56,248,61,117])).
% 0.96/1.04 cnf(278,plain,
% 0.96/1.04 (~P5(f23(f23(a24,a24),f23(a24,f23(x2781,x2781))),f6(x2782,x2783))),
% 0.96/1.04 inference(scs_inference,[],[50,56,177,248,61,117,72])).
% 0.96/1.04 cnf(281,plain,
% 0.96/1.04 (~P6(a17,f5(x2811,a17))),
% 0.96/1.04 inference(scs_inference,[],[50,56,46,177,248,253,61,117,72,68])).
% 0.96/1.04 cnf(284,plain,
% 0.96/1.04 (E(f3(x2841),f9(f8(x2841),f7(f8(f9(f6(f8(f10(f5(a4,a17))),x2841),a12)))))),
% 0.96/1.04 inference(scs_inference,[],[50,56,46,177,248,253,61,117,72,68,2])).
% 0.96/1.04 cnf(285,plain,
% 0.96/1.04 (P6(f9(f8(x2851),f7(f8(f9(f6(f8(f10(f5(a4,a17))),x2851),a12)))),f3(x2851))),
% 0.96/1.04 inference(scs_inference,[],[50,56,46,177,248,253,61,117,72,68,2,62])).
% 0.96/1.04 cnf(287,plain,
% 0.96/1.04 (~E(f23(a24,a24),a13)),
% 0.96/1.04 inference(scs_inference,[],[50,56,122,46,177,248,253,61,117,72,68,2,62,8])).
% 0.96/1.04 cnf(288,plain,
% 0.96/1.04 (E(f9(f23(a24,a24),f20(f23(a24,a24))),a13)),
% 0.96/1.04 inference(scs_inference,[],[50,56,122,46,177,248,253,61,117,72,68,2,62,8,65])).
% 0.96/1.04 cnf(317,plain,
% 0.96/1.04 (~P6(a17,f6(x3171,x3172))),
% 0.96/1.04 inference(scs_inference,[],[49,275,237,281,61,76,72])).
% 0.96/1.04 cnf(327,plain,
% 0.96/1.04 (~E(f23(a25,a13),f23(a25,f23(a24,a24)))),
% 0.96/1.04 inference(scs_inference,[],[122,49,275,237,225,281,160,240,248,61,76,72,62,30,3,2])).
% 0.96/1.04 cnf(328,plain,
% 0.96/1.04 (E(f23(x3281,a12),f23(x3281,f9(f8(f10(f5(a21,a17))),a21)))),
% 0.96/1.04 inference(scs_inference,[],[121,122,49,275,237,225,281,160,240,248,61,76,72,62,30,3,2,8])).
% 0.96/1.04 cnf(338,plain,
% 0.96/1.04 (~P6(a17,f23(f23(f23(a25,a25),f23(a25,a13)),f23(f23(a25,a25),f23(a25,a13))))),
% 0.96/1.04 inference(scs_inference,[],[55,49,190,61,72])).
% 0.96/1.04 cnf(339,plain,
% 0.96/1.04 (P5(f23(x3391,x3392),a17)),
% 0.96/1.04 inference(rename_variables,[],[49])).
% 0.96/1.04 cnf(358,plain,
% 0.96/1.04 (P5(f23(x3581,x3582),f23(f23(x3581,x3582),x3583))),
% 0.96/1.04 inference(scs_inference,[],[55,49,339,190,328,236,327,285,284,169,177,192,61,72,76,62,2,30,3,8,33,86,89,74])).
% 0.96/1.04 cnf(360,plain,
% 0.96/1.04 (~P5(f23(f23(f23(f23(x3601,x3601),f23(x3601,f23(x3602,x3602))),f23(f23(x3601,x3601),f23(x3601,f23(x3602,x3602)))),f23(f23(f23(x3601,x3601),f23(x3601,f23(x3602,x3602))),f23(a24,a24))),f10(f6(x3603,x3604)))),
% 0.96/1.04 inference(scs_inference,[],[55,49,339,190,328,236,327,285,284,169,275,177,192,61,72,76,62,2,30,3,8,33,86,89,74,113])).
% 0.96/1.04 cnf(361,plain,
% 0.96/1.04 (~P5(f23(f23(x3611,x3611),f23(x3611,f23(a24,a24))),f6(x3612,x3613))),
% 0.96/1.04 inference(rename_variables,[],[275])).
% 0.96/1.04 cnf(363,plain,
% 0.96/1.04 (~P5(f23(f23(x3631,x3631),f23(x3631,f23(f23(f23(a24,a24),f23(a24,f23(x3632,x3632))),f23(f23(a24,a24),f23(a24,f23(x3632,x3632)))))),f5(x3633,f6(x3634,x3635)))),
% 0.96/1.04 inference(scs_inference,[],[55,49,339,278,190,328,236,327,285,284,169,275,177,192,61,72,76,62,2,30,3,8,33,86,89,74,113,99])).
% 0.96/1.04 cnf(369,plain,
% 0.96/1.04 (P5(f7(f8(f8(f10(f5(f9(a4,f5(f7(f23(x3691,x3692)),a17)),a17))))),a17)),
% 0.96/1.04 inference(scs_inference,[],[55,49,339,278,190,328,236,327,285,284,169,275,177,192,61,72,76,62,2,30,3,8,33,86,89,74,113,99,78,70,111])).
% 0.96/1.04 cnf(388,plain,
% 0.96/1.04 (E(f6(f9(f5(a17,a17),f9(f5(a17,a17),f7(f6(f7(a4),f8(f10(f5(a4,a17))))))),x3881),f6(a21,x3881))),
% 0.96/1.04 inference(scs_inference,[],[55,49,339,278,190,328,236,327,285,284,169,275,361,177,192,61,72,76,62,2,30,3,8,33,86,89,74,113,99,78,70,111,73,22,21,16,6,97,112,25,18,15,13,12,11,9])).
% 0.96/1.04 cnf(405,plain,
% 0.96/1.04 (~P2(a17)),
% 0.96/1.04 inference(scs_inference,[],[55,49,339,278,190,328,236,327,285,284,169,275,361,177,281,192,61,72,76,62,2,30,3,8,33,86,89,74,113,99,78,70,111,73,22,21,16,6,97,112,25,18,15,13,12,11,9,7,5,4,100,77,27,26,23,20,24,19,17,14,10,67])).
% 0.96/1.04 cnf(415,plain,
% 0.96/1.04 (~E(a2,a17)),
% 0.96/1.04 inference(scs_inference,[],[44,317,405,81,61,29])).
% 0.96/1.04 cnf(416,plain,
% 0.96/1.04 (~E(a17,f10(f6(x4161,x4162)))),
% 0.96/1.04 inference(scs_inference,[],[44,49,360,317,405,81,61,29,31])).
% 0.96/1.04 cnf(417,plain,
% 0.96/1.04 (P5(f23(x4171,x4172),a17)),
% 0.96/1.04 inference(rename_variables,[],[49])).
% 0.96/1.04 cnf(418,plain,
% 0.96/1.04 (~P5(f23(f23(x4181,x4181),f23(x4181,f23(a24,a24))),f19(x4182))),
% 0.96/1.04 inference(scs_inference,[],[44,52,49,360,317,405,175,81,61,29,31,72])).
% 0.96/1.04 cnf(432,plain,
% 0.96/1.04 (~P5(f14(a17,f6(x4321,x4322)),f6(x4321,x4322))),
% 0.96/1.04 inference(scs_inference,[],[44,123,52,56,49,360,287,317,338,405,288,175,81,61,29,31,72,62,2,3,8,87,60,59,79])).
% 0.96/1.04 cnf(440,plain,
% 0.96/1.04 (P5(f23(x4401,x4402),a17)),
% 0.96/1.04 inference(rename_variables,[],[49])).
% 0.96/1.04 cnf(444,plain,
% 0.96/1.04 (P5(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(a2,f5(f23(f23(a24,a24),f23(a24,a24)),a17)),a17))))))),f23(a24,a24))),
% 0.96/1.04 inference(scs_inference,[],[44,123,52,56,49,417,440,358,360,287,317,369,338,405,288,175,81,61,29,31,72,62,2,3,8,87,60,59,79,69,38,80,71,108,116])).
% 0.96/1.04 cnf(447,plain,
% 0.96/1.04 (E(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(a2,f5(f23(f23(a24,a24),f23(a24,a24)),a17)),a17))))))),a24)),
% 0.96/1.04 inference(scs_inference,[],[44,123,52,56,49,417,440,358,360,287,317,369,338,405,288,175,81,61,29,31,72,62,2,3,8,87,60,59,79,69,38,80,71,108,116,76])).
% 0.96/1.04 cnf(473,plain,
% 0.96/1.04 (~P5(a1,f23(a24,a24))),
% 0.96/1.04 inference(scs_inference,[],[124,123,51,46,49,418,432,388,95,80,71,61,72,31,76])).
% 0.96/1.04 cnf(477,plain,
% 0.96/1.04 (E(f9(x4771,f5(x4772,x4773)),f9(f5(x4772,x4773),x4771))),
% 0.96/1.04 inference(scs_inference,[],[124,123,51,46,49,418,432,388,95,80,71,61,72,31,76,62,2])).
% 0.96/1.04 cnf(515,plain,
% 0.96/1.04 (E(f9(f9(f5(a17,a17),f7(f6(f7(a4),f8(f10(f5(a4,a17)))))),f5(a17,a17)),a21)),
% 0.96/1.04 inference(scs_inference,[],[45,49,55,477,415,363,473,338,61,72,76,62,31,2,3])).
% 0.96/1.04 cnf(541,plain,
% 0.96/1.04 ($false),
% 0.96/1.04 inference(scs_inference,[],[46,123,48,49,234,416,515,447,444,177,248,68,61,72,62,31,3,2,30]),
% 0.96/1.04 ['proof']).
% 0.96/1.04 % SZS output end Proof
% 0.96/1.04 % Total time :0.370000s
%------------------------------------------------------------------------------