%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SET124-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n017.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 : Mon Jun 24 14:20:51 EDT 2024
% Result : Unsatisfiable 0.57s 0.63s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET124-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.10/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n017.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 : Sun Jun 23 11:48:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.57/0.63 %-------------------------------------------
% 0.57/0.63 % File :CSE---1.7
% 0.57/0.63 % Problem :theBenchmark
% 0.57/0.63 % Transform :cnf
% 0.57/0.63 % Format :tptp:raw
% 0.57/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.57/0.63
% 0.57/0.63 % Result :Theorem 0.020000s
% 0.57/0.63 % Output :CNFRefutation 0.020000s
% 0.57/0.63 %-------------------------------------------
% 0.57/0.63 %--------------------------------------------------------------------------
% 0.57/0.63 % File : SET124-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.57/0.63 % Domain : Set Theory
% 0.57/0.63 % Problem : Alternative definition of set builder, part 2
% 0.57/0.63 % Version : [Qua92] axioms.
% 0.57/0.63 % English :
% 0.57/0.63
% 0.57/0.63 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 0.57/0.63 % Source : [Quaife]
% 0.57/0.63 % Names : SB2.2 [Quaife]
% 0.57/0.63
% 0.57/0.63 % Status : Unsatisfiable
% 0.57/0.63 % Rating : 0.15 v8.2.0, 0.14 v8.1.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.25 v7.1.0, 0.17 v7.0.0, 0.33 v6.3.0, 0.18 v6.2.0, 0.20 v6.1.0, 0.43 v6.0.0, 0.40 v5.5.0, 0.80 v5.3.0, 0.78 v5.2.0, 0.75 v5.1.0, 0.76 v5.0.0, 0.71 v4.1.0, 0.77 v4.0.1, 0.82 v4.0.0, 0.64 v3.7.0, 0.40 v3.5.0, 0.45 v3.4.0, 0.58 v3.3.0, 0.50 v3.2.0, 0.38 v3.1.0, 0.55 v2.7.0, 0.58 v2.6.0, 0.33 v2.5.0, 0.45 v2.4.0, 0.38 v2.2.1, 0.67 v2.2.0, 0.33 v2.1.0
% 0.57/0.63 % Syntax : Number of clauses : 94 ( 32 unt; 8 nHn; 64 RR)
% 0.57/0.63 % Number of literals : 184 ( 40 equ; 85 neg)
% 0.57/0.63 % Maximal clause size : 5 ( 1 avg)
% 0.57/0.63 % Maximal term depth : 6 ( 1 avg)
% 0.57/0.63 % Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% 0.57/0.63 % Number of functors : 41 ( 41 usr; 10 con; 0-3 aty)
% 0.57/0.63 % Number of variables : 178 ( 25 sgn)
% 0.57/0.63 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.57/0.63
% 0.57/0.63 % Comments : The 'set builder' problems, of which this is one, do not appear
% 0.57/0.63 % in [Qua92]. In Quaife's development, these problems appear
% 0.57/0.63 % between the SINGLETON and the ORDERED PAIRS problems of [Qu92].
% 0.57/0.63 % However, in order to correspond to the paper, these theorems
% 0.57/0.63 % have not been used in the augmented versions of the subsequent
% 0.57/0.63 % problems in [Qua92].
% 0.57/0.63 % : Not in [Qua92].
% 0.57/0.63 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 0.57/0.63 %--------------------------------------------------------------------------
% 0.57/0.63 %----Include von Neuman-Bernays-Godel set theory axioms
% 0.57/0.63 include('Axioms/SET004-0.ax').
% 0.57/0.63 %--------------------------------------------------------------------------
% 0.57/0.63 %----(SBDEF1): definition of set builder.
% 0.57/0.63 cnf(definition_of_set_builder,axiom,
% 0.57/0.63 union(singleton(X),Y) = set_builder(X,Y) ).
% 0.57/0.63
% 0.57/0.63 cnf(prove_set_builder_alternate_defn2_1,negated_conjecture,
% 0.57/0.63 member(x,universal_class) ).
% 0.57/0.63
% 0.57/0.63 cnf(prove_set_builder_alternate_defn2_2,negated_conjecture,
% 0.57/0.63 ~ member(x,set_builder(x,z)) ).
% 0.57/0.63
% 0.57/0.63 %--------------------------------------------------------------------------
% 0.57/0.63 %-------------------------------------------
% 0.57/0.63 % Proof found
% 0.57/0.63 % SZS status Theorem for theBenchmark
% 0.57/0.63 % SZS output start Proof
% 0.57/0.63 %ClaNum:120(EqnAxiom:42)
% 0.57/0.63 %VarNum:718(SingletonVarNum:150)
% 0.57/0.63 %MaxLitNum:5
% 0.57/0.63 %MaxfuncDepth:24
% 0.57/0.64 %SharedTerms:38
% 0.57/0.64 %goalClause: 46 58
% 0.57/0.64 %singleGoalClaCount:2
% 0.57/0.64 [43]P1(a1)
% 0.57/0.64 [44]P2(a2)
% 0.57/0.64 [45]P5(a1,a17)
% 0.57/0.64 [46]P5(a23,a17)
% 0.57/0.64 [48]P6(a4,f5(a17,a17))
% 0.57/0.64 [49]P6(a18,f5(a17,a17))
% 0.57/0.64 [58]~P5(a23,f7(f9(f7(f24(a23,a23)),f7(a25))))
% 0.57/0.64 [55]E(f9(f8(f10(f5(a21,a17))),a21),a12)
% 0.57/0.64 [56]E(f9(f5(a17,a17),f9(f5(a17,a17),f7(f6(f7(a4),f8(f10(f5(a4,a17))))))),a21)
% 0.57/0.64 [47]P6(x471,a17)
% 0.57/0.64 [53]P6(f19(x531),f5(f5(a17,a17),a17))
% 0.57/0.64 [54]P6(f10(x541),f5(f5(a17,a17),a17))
% 0.57/0.64 [57]E(f9(f8(x571),f7(f8(f9(f6(f8(f10(f5(a4,a17))),x571),a12)))),f3(x571))
% 0.57/0.64 [50]P5(f24(x501,x502),a17)
% 0.57/0.64 [51]P6(f6(x511,x512),f5(a17,a17))
% 0.57/0.64 [52]E(f9(f5(x521,x522),x523),f9(x523,f5(x521,x522)))
% 0.57/0.64 [59]~P7(x591)+P2(x591)
% 0.57/0.64 [60]~P8(x601)+P2(x601)
% 0.57/0.64 [63]~P1(x631)+P6(a1,x631)
% 0.57/0.64 [64]~P1(x641)+P5(a13,x641)
% 0.57/0.64 [66]P5(f20(x661),x661)+E(x661,a13)
% 0.57/0.64 [67]~P2(x671)+P6(x671,f5(a17,a17))
% 0.57/0.64 [65]E(x651,a13)+E(f9(x651,f20(x651)),a13)
% 0.57/0.64 [75]~P8(x751)+E(f5(f8(f8(x751)),f8(f8(x751))),f8(x751))
% 0.57/0.64 [85]~P7(x851)+P2(f8(f10(f5(x851,a17))))
% 0.57/0.64 [89]~P5(x891,a17)+P5(f8(f9(a4,f5(a17,x891))),a17)
% 0.57/0.64 [91]~P9(x911)+P6(f6(x911,f8(f10(f5(x911,a17)))),a12)
% 0.57/0.64 [92]~P2(x921)+P6(f6(x921,f8(f10(f5(x921,a17)))),a12)
% 0.57/0.64 [93]~P8(x931)+P6(f8(f8(f10(f5(x931,a17)))),f8(f8(x931)))
% 0.57/0.64 [98]P9(x981)+~P6(f6(x981,f8(f10(f5(x981,a17)))),a12)
% 0.57/0.64 [107]~P1(x1071)+P6(f8(f8(f10(f5(f9(a18,f5(x1071,a17)),a17)))),x1071)
% 0.57/0.64 [111]~P5(x1111,a17)+P5(f7(f8(f8(f10(f5(f9(a4,f5(f7(x1111),a17)),a17))))),a17)
% 0.57/0.64 [61]~E(x612,x611)+P6(x611,x612)
% 0.57/0.64 [62]~E(x621,x622)+P6(x621,x622)
% 0.57/0.64 [69]P6(x691,x692)+P5(f14(x691,x692),x691)
% 0.57/0.64 [70]~P5(x701,x702)+~P5(x701,f7(x702))
% 0.57/0.64 [73]~P5(x731,a17)+P5(x731,f24(x732,x731))
% 0.57/0.64 [74]~P5(x741,a17)+P5(x741,f24(x741,x742))
% 0.57/0.64 [79]P6(x791,x792)+~P5(f14(x791,x792),x792)
% 0.57/0.64 [88]~P5(x882,f8(x881))+~E(f9(x881,f5(f24(x882,x882),a17)),a13)
% 0.57/0.64 [97]P5(x971,x972)+~P5(f24(f24(x971,x971),f24(x971,f24(x972,x972))),a4)
% 0.57/0.64 [104]~P5(f24(f24(x1041,x1041),f24(x1041,f24(x1042,x1042))),a18)+E(f7(f9(f7(x1041),f7(f24(x1041,x1041)))),x1042)
% 0.57/0.64 [81]P2(x811)+~P3(x811,x812,x813)
% 0.57/0.64 [82]P8(x821)+~P4(x822,x823,x821)
% 0.57/0.64 [83]P8(x831)+~P4(x832,x831,x833)
% 0.57/0.64 [87]~P4(x871,x872,x873)+P3(x871,x872,x873)
% 0.57/0.64 [77]P5(x771,x772)+~P5(x771,f9(x773,x772))
% 0.57/0.64 [78]P5(x781,x782)+~P5(x781,f9(x782,x783))
% 0.57/0.64 [84]~P3(x842,x841,x843)+E(f8(f8(x841)),f8(x842))
% 0.57/0.64 [94]~P5(x941,f5(x942,x943))+E(f24(f24(f11(x941),f11(x941)),f24(f11(x941),f24(f22(x941),f22(x941)))),x941)
% 0.57/0.64 [96]~P3(x961,x963,x962)+P6(f8(f8(f10(f5(x961,a17)))),f8(f8(x962)))
% 0.57/0.64 [99]P5(x991,x992)+~P5(f24(f24(x993,x993),f24(x993,f24(x991,x991))),f5(x994,x992))
% 0.57/0.64 [100]P5(x1001,x1002)+~P5(f24(f24(x1001,x1001),f24(x1001,f24(x1003,x1003))),f5(x1002,x1004))
% 0.57/0.64 [112]~P5(f24(f24(f24(f24(x1123,x1123),f24(x1123,f24(x1121,x1121))),f24(f24(x1123,x1123),f24(x1123,f24(x1121,x1121)))),f24(f24(f24(x1123,x1123),f24(x1123,f24(x1121,x1121))),f24(x1122,x1122))),f19(x1124))+P5(f24(f24(f24(f24(x1121,x1121),f24(x1121,f24(x1122,x1122))),f24(f24(x1121,x1121),f24(x1121,f24(x1122,x1122)))),f24(f24(f24(x1121,x1121),f24(x1121,f24(x1122,x1122))),f24(x1123,x1123))),x1124)
% 0.57/0.64 [113]~P5(f24(f24(f24(f24(x1132,x1132),f24(x1132,f24(x1131,x1131))),f24(f24(x1132,x1132),f24(x1132,f24(x1131,x1131)))),f24(f24(f24(x1132,x1132),f24(x1132,f24(x1131,x1131))),f24(x1133,x1133))),f10(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)
% 0.57/0.64 [117]~P5(f24(f24(x1174,x1174),f24(x1174,f24(x1171,x1171))),f6(x1172,x1173))+P5(x1171,f8(f8(f10(f5(f9(x1172,f5(f8(f8(f10(f5(f9(x1173,f5(f24(x1174,x1174),a17)),a17)))),a17)),a17)))))
% 0.57/0.64 [90]~P2(x901)+P7(x901)+~P2(f8(f10(f5(x901,a17))))
% 0.57/0.64 [101]P2(x1011)+~P6(x1011,f5(a17,a17))+~P6(f6(x1011,f8(f10(f5(x1011,a17)))),a12)
% 0.57/0.64 [109]P1(x1091)+~P5(a13,x1091)+~P6(f8(f8(f10(f5(f9(a18,f5(x1091,a17)),a17)))),x1091)
% 0.57/0.64 [116]~P5(x1161,a17)+E(x1161,a13)+P5(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(a2,f5(f24(x1161,x1161),a17)),a17))))))),x1161)
% 0.57/0.64 [68]~P6(x682,x681)+~P6(x681,x682)+E(x681,x682)
% 0.57/0.64 [71]P5(x711,x712)+P5(x711,f7(x712))+~P5(x711,a17)
% 0.57/0.64 [86]P5(x862,f8(x861))+~P5(x862,a17)+E(f9(x861,f5(f24(x862,x862),a17)),a13)
% 0.57/0.64 [105]~P5(x1051,x1052)+~P5(f24(f24(x1051,x1051),f24(x1051,f24(x1052,x1052))),f5(a17,a17))+P5(f24(f24(x1051,x1051),f24(x1051,f24(x1052,x1052))),a4)
% 0.57/0.64 [106]~P5(f24(f24(x1061,x1061),f24(x1061,f24(x1062,x1062))),f5(a17,a17))+~E(f7(f9(f7(x1061),f7(f24(x1061,x1061)))),x1062)+P5(f24(f24(x1061,x1061),f24(x1061,f24(x1062,x1062))),a18)
% 0.57/0.64 [108]~P2(x1081)+~P5(x1082,a17)+P5(f8(f8(f10(f5(f9(x1081,f5(x1082,a17)),a17)))),a17)
% 0.57/0.64 [72]~P5(x721,x723)+P5(x721,x722)+~P6(x723,x722)
% 0.57/0.64 [76]E(x761,x762)+E(x761,x763)+~P5(x761,f24(x763,x762))
% 0.57/0.64 [80]~P5(x801,x803)+~P5(x801,x802)+P5(x801,f9(x802,x803))
% 0.57/0.64 [95]~P5(x952,x954)+~P5(x951,x953)+P5(f24(f24(x951,x951),f24(x951,f24(x952,x952))),f5(x953,x954))
% 0.57/0.64 [114]~P5(f24(f24(f24(f24(x1142,x1142),f24(x1142,f24(x1143,x1143))),f24(f24(x1142,x1142),f24(x1142,f24(x1143,x1143)))),f24(f24(f24(x1142,x1142),f24(x1142,f24(x1143,x1143))),f24(x1141,x1141))),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))),f19(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))),f5(f5(a17,a17),a17))
% 0.57/0.64 [115]~P5(f24(f24(f24(f24(x1152,x1152),f24(x1152,f24(x1151,x1151))),f24(f24(x1152,x1152),f24(x1152,f24(x1151,x1151)))),f24(f24(f24(x1152,x1152),f24(x1152,f24(x1151,x1151))),f24(x1153,x1153))),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))),f10(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))
% 0.57/0.64 [118]P5(f24(f24(x1181,x1181),f24(x1181,f24(x1182,x1182))),f6(x1183,x1184))+~P5(f24(f24(x1181,x1181),f24(x1181,f24(x1182,x1182))),f5(a17,a17))+~P5(x1182,f8(f8(f10(f5(f9(x1183,f5(f8(f8(f10(f5(f9(x1184,f5(f24(x1181,x1181),a17)),a17)))),a17)),a17)))))
% 0.57/0.64 [119]~P4(x1192,x1195,x1191)+~P5(f24(f24(x1193,x1193),f24(x1193,f24(x1194,x1194))),f8(x1195))+E(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1191,f5(f24(f24(f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f24(x1193,x1193),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f24(x1193,x1193),a17)),a17)))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f24(x1193,x1193),a17)),a17))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f24(x1194,x1194),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f24(x1194,x1194),a17)),a17)))))))))),f24(f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f24(x1193,x1193),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f24(x1193,x1193),a17)),a17)))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f24(x1193,x1193),a17)),a17))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f24(x1194,x1194),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f24(x1194,x1194),a17)),a17))))))))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1192,f5(f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1195,f5(f24(f24(f24(x1193,x1193),f24(x1193,f24(x1194,x1194))),f24(f24(x1193,x1193),f24(x1193,f24(x1194,x1194)))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1195,f5(f24(f24(f24(x1193,x1193),f24(x1193,f24(x1194,x1194))),f24(f24(x1193,x1193),f24(x1193,f24(x1194,x1194)))),a17)),a17)))))))),a17)),a17))))))))
% 0.57/0.64 [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)))
% 0.57/0.64 [102]~P2(x1021)+P3(x1021,x1022,x1023)+~E(f8(f8(x1022)),f8(x1021))+~P6(f8(f8(f10(f5(x1021,a17)))),f8(f8(x1023)))
% 0.57/0.64 [110]~P8(x1103)+~P8(x1102)+~P3(x1101,x1102,x1103)+P4(x1101,x1102,x1103)+P5(f24(f24(f15(x1101,x1102,x1103),f15(x1101,x1102,x1103)),f24(f15(x1101,x1102,x1103),f24(f16(x1101,x1102,x1103),f16(x1101,x1102,x1103)))),f8(x1102))
% 0.57/0.64 [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(f24(f24(f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f24(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f24(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),a17)),a17)))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f24(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),a17)),a17))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f24(f16(x1201,x1202,x1203),f16(x1201,x1202,x1203)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f24(f16(x1201,x1202,x1203),f16(x1201,x1202,x1203)),a17)),a17)))))))))),f24(f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f24(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f24(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),a17)),a17)))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f24(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),a17)),a17))))))),f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f24(f16(x1201,x1202,x1203),f16(x1201,x1202,x1203)),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f24(f16(x1201,x1202,x1203),f16(x1201,x1202,x1203)),a17)),a17))))))))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1201,f5(f24(f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f24(f24(f24(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),f24(f15(x1201,x1202,x1203),f24(f16(x1201,x1202,x1203),f16(x1201,x1202,x1203)))),f24(f24(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),f24(f15(x1201,x1202,x1203),f24(f16(x1201,x1202,x1203),f16(x1201,x1202,x1203))))),a17)),a17))))))),f8(f9(a4,f5(a17,f8(f8(f10(f5(f9(x1202,f5(f24(f24(f24(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),f24(f15(x1201,x1202,x1203),f24(f16(x1201,x1202,x1203),f16(x1201,x1202,x1203)))),f24(f24(f15(x1201,x1202,x1203),f15(x1201,x1202,x1203)),f24(f15(x1201,x1202,x1203),f24(f16(x1201,x1202,x1203),f16(x1201,x1202,x1203))))),a17)),a17)))))))),a17)),a17))))))))
% 0.57/0.64 %EqnAxiom
% 0.57/0.64 [1]E(x11,x11)
% 0.57/0.64 [2]E(x22,x21)+~E(x21,x22)
% 0.57/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.57/0.64 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 0.57/0.64 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 0.57/0.64 [6]~E(x61,x62)+E(f8(x61),f8(x62))
% 0.57/0.64 [7]~E(x71,x72)+E(f24(x71,x73),f24(x72,x73))
% 0.57/0.64 [8]~E(x81,x82)+E(f24(x83,x81),f24(x83,x82))
% 0.57/0.64 [9]~E(x91,x92)+E(f6(x91,x93),f6(x92,x93))
% 0.57/0.64 [10]~E(x101,x102)+E(f6(x103,x101),f6(x103,x102))
% 0.57/0.64 [11]~E(x111,x112)+E(f9(x111,x113),f9(x112,x113))
% 0.57/0.64 [12]~E(x121,x122)+E(f9(x123,x121),f9(x123,x122))
% 0.57/0.64 [13]~E(x131,x132)+E(f15(x131,x133,x134),f15(x132,x133,x134))
% 0.57/0.64 [14]~E(x141,x142)+E(f15(x143,x141,x144),f15(x143,x142,x144))
% 0.57/0.64 [15]~E(x151,x152)+E(f15(x153,x154,x151),f15(x153,x154,x152))
% 0.57/0.64 [16]~E(x161,x162)+E(f10(x161),f10(x162))
% 0.57/0.64 [17]~E(x171,x172)+E(f22(x171),f22(x172))
% 0.57/0.64 [18]~E(x181,x182)+E(f7(x181),f7(x182))
% 0.57/0.64 [19]~E(x191,x192)+E(f19(x191),f19(x192))
% 0.57/0.64 [20]~E(x201,x202)+E(f16(x201,x203,x204),f16(x202,x203,x204))
% 0.57/0.64 [21]~E(x211,x212)+E(f16(x213,x211,x214),f16(x213,x212,x214))
% 0.57/0.64 [22]~E(x221,x222)+E(f16(x223,x224,x221),f16(x223,x224,x222))
% 0.57/0.64 [23]~E(x231,x232)+E(f11(x231),f11(x232))
% 0.57/0.64 [24]~E(x241,x242)+E(f14(x241,x243),f14(x242,x243))
% 0.57/0.64 [25]~E(x251,x252)+E(f14(x253,x251),f14(x253,x252))
% 0.57/0.64 [26]~E(x261,x262)+E(f20(x261),f20(x262))
% 0.57/0.64 [27]~E(x271,x272)+E(f3(x271),f3(x272))
% 0.57/0.64 [28]~P1(x281)+P1(x282)+~E(x281,x282)
% 0.57/0.64 [29]~P2(x291)+P2(x292)+~E(x291,x292)
% 0.57/0.64 [30]P5(x302,x303)+~E(x301,x302)+~P5(x301,x303)
% 0.57/0.64 [31]P5(x313,x312)+~E(x311,x312)+~P5(x313,x311)
% 0.57/0.64 [32]P3(x322,x323,x324)+~E(x321,x322)+~P3(x321,x323,x324)
% 0.57/0.64 [33]P3(x333,x332,x334)+~E(x331,x332)+~P3(x333,x331,x334)
% 0.57/0.64 [34]P3(x343,x344,x342)+~E(x341,x342)+~P3(x343,x344,x341)
% 0.57/0.64 [35]P6(x352,x353)+~E(x351,x352)+~P6(x351,x353)
% 0.57/0.64 [36]P6(x363,x362)+~E(x361,x362)+~P6(x363,x361)
% 0.57/0.64 [37]~P7(x371)+P7(x372)+~E(x371,x372)
% 0.57/0.64 [38]P4(x382,x383,x384)+~E(x381,x382)+~P4(x381,x383,x384)
% 0.57/0.64 [39]P4(x393,x392,x394)+~E(x391,x392)+~P4(x393,x391,x394)
% 0.57/0.64 [40]P4(x403,x404,x402)+~E(x401,x402)+~P4(x403,x404,x401)
% 0.57/0.64 [41]~P8(x411)+P8(x412)+~E(x411,x412)
% 0.57/0.64 [42]~P9(x421)+P9(x422)+~E(x421,x422)
% 0.57/0.64
% 0.57/0.64 %-------------------------------------------
% 0.57/0.64 cnf(121,plain,
% 0.57/0.64 (P6(x1211,x1211)),
% 0.57/0.64 inference(equality_inference,[],[61])).
% 0.57/0.64 cnf(125,plain,
% 0.57/0.64 (E(f9(x1251,f5(x1252,x1253)),f9(f5(x1252,x1253),x1251))),
% 0.57/0.64 inference(scs_inference,[],[52,2])).
% 0.57/0.64 cnf(126,plain,
% 0.57/0.64 (P5(a23,f9(f7(f24(a23,a23)),f7(a25)))),
% 0.57/0.64 inference(scs_inference,[],[46,58,52,2,71])).
% 0.57/0.64 cnf(129,plain,
% 0.57/0.64 (E(f9(f9(f5(a17,a17),f7(f6(f7(a4),f8(f10(f5(a4,a17)))))),f5(a17,a17)),a21)),
% 0.57/0.64 inference(scs_inference,[],[46,58,52,56,2,71,31,3])).
% 0.57/0.64 cnf(131,plain,
% 0.57/0.64 (P6(x1311,x1311)),
% 0.57/0.64 inference(rename_variables,[],[121])).
% 0.57/0.64 cnf(132,plain,
% 0.57/0.64 (E(f9(f5(x1321,x1322),x1323),f9(x1323,f5(x1321,x1322)))),
% 0.57/0.64 inference(rename_variables,[],[52])).
% 0.57/0.64 cnf(137,plain,
% 0.57/0.64 (P5(a23,f7(f24(a23,a23)))),
% 0.57/0.64 inference(scs_inference,[],[46,58,121,131,52,132,56,2,71,31,3,35,36,77,78])).
% 0.57/0.64 cnf(154,plain,
% 0.57/0.64 ($false),
% 0.57/0.64 inference(scs_inference,[],[46,58,126,137,125,129,121,70,2,31,36,73]),
% 0.57/0.64 ['proof']).
% 0.57/0.64 % SZS output end Proof
% 0.57/0.64 % Total time :0.020000s
%------------------------------------------------------------------------------