%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SET073+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n001.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 14:20:30 EDT 2024
% Result : Theorem 0.55s 0.71s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET073+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n001.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 17:57:54 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.51/0.58 start to proof:theBenchmark
% 0.55/0.70 %-------------------------------------------
% 0.55/0.70 % File :CSE---1.7
% 0.55/0.70 % Problem :theBenchmark
% 0.55/0.70 % Transform :cnf
% 0.55/0.70 % Format :tptp:raw
% 0.55/0.70 % Command :java -jar mcs_scs.jar %d %s
% 0.55/0.70
% 0.55/0.70 % Result :Theorem 0.010000s
% 0.55/0.70 % Output :CNFRefutation 0.010000s
% 0.55/0.70 %-------------------------------------------
% 0.55/0.70 %--------------------------------------------------------------------------
% 0.55/0.70 % File : SET073+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.55/0.70 % Domain : Set Theory
% 0.55/0.70 % Problem : Corollary to unordered pair axiom
% 0.55/0.70 % Version : [Qua92] axioms : Reduced & Augmented > Complete.
% 0.55/0.70 % English :
% 0.55/0.70
% 0.55/0.70 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 0.55/0.70 % : [BL+86] Boyer et al. (1986), Set Theory in First-Order Logic:
% 0.55/0.70 % Source : [Qua92]
% 0.55/0.70 % Names :
% 0.55/0.70
% 0.55/0.70 % Status : Theorem
% 0.55/0.70 % Rating : 0.14 v8.2.0, 0.11 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.10 v7.1.0, 0.09 v7.0.0, 0.03 v6.4.0, 0.08 v6.3.0, 0.17 v6.2.0, 0.28 v6.1.0, 0.27 v6.0.0, 0.26 v5.4.0
% 0.55/0.70 % Syntax : Number of formulae : 44 ( 16 unt; 0 def)
% 0.55/0.70 % Number of atoms : 102 ( 20 equ)
% 0.55/0.70 % Maximal formula atoms : 4 ( 2 avg)
% 0.55/0.70 % Number of connectives : 64 ( 6 ~; 3 |; 26 &)
% 0.55/0.70 % ( 19 <=>; 10 =>; 0 <=; 0 <~>)
% 0.55/0.70 % Maximal formula depth : 7 ( 4 avg)
% 0.55/0.70 % Maximal term depth : 4 ( 1 avg)
% 0.55/0.70 % Number of predicates : 6 ( 5 usr; 0 prp; 1-2 aty)
% 0.55/0.70 % Number of functors : 26 ( 26 usr; 5 con; 0-3 aty)
% 0.55/0.71 % Number of variables : 88 ( 83 !; 5 ?)
% 0.55/0.71 % SPC : FOF_THM_RFO_SEQ
% 0.55/0.71
% 0.55/0.71 % Comments :
% 0.55/0.71 % Bugfixed : v5.4.0 - Bugfixes to SET005+0 axiom file.
% 0.55/0.71 %--------------------------------------------------------------------------
% 0.55/0.71 %----Include set theory axioms
% 0.55/0.71 include('Axioms/SET005+0.ax').
% 0.55/0.71 %--------------------------------------------------------------------------
% 0.55/0.71 %----UP6: Corollary to (A-4)
% 0.55/0.71 fof(corollary1_1,conjecture,
% 0.55/0.71 ! [X,Y] :
% 0.55/0.71 ( member(X,universal_class)
% 0.55/0.71 => unordered_pair(X,Y) != null_class ) ).
% 0.55/0.71
% 0.55/0.71 %--------------------------------------------------------------------------
% 0.55/0.71 %-------------------------------------------
% 0.55/0.71 % Proof found
% 0.55/0.71 % SZS status Theorem for theBenchmark
% 0.55/0.71 % SZS output start Proof
% 0.55/0.71 %ClaNum:120(EqnAxiom:37)
% 0.55/0.71 %VarNum:607(SingletonVarNum:169)
% 0.55/0.71 %MaxLitNum:4
% 0.55/0.71 %MaxfuncDepth:13
% 0.55/0.71 %SharedTerms:19
% 0.55/0.71 %goalClause: 40 42
% 0.55/0.71 %singleGoalClaCount:2
% 0.55/0.71 [38]P1(a1)
% 0.55/0.71 [39]P2(a8)
% 0.55/0.71 [41]P4(a1,a21)
% 0.55/0.71 [42]P4(a13,a21)
% 0.55/0.71 [40]E(f15(a13,a14),a16)
% 0.55/0.71 [44]P5(a2,f3(a21,a21))
% 0.55/0.71 [45]P5(a22,f3(a21,a21))
% 0.55/0.71 [43]P5(x431,a21)
% 0.55/0.71 [50]~P4(x501,a16)
% 0.55/0.71 [48]P5(f23(x481),f3(f3(a21,a21),a21))
% 0.55/0.71 [49]P5(f17(x491),f3(f3(a21,a21),a21))
% 0.55/0.71 [46]P4(f15(x461,x462),a21)
% 0.55/0.71 [47]P5(f4(x471,x472),f3(a21,a21))
% 0.55/0.71 [53]~P1(x531)+P5(a1,x531)
% 0.55/0.71 [54]~P1(x541)+P4(a16,x541)
% 0.55/0.71 [55]E(x551,a16)+P4(f9(x551),a21)
% 0.55/0.71 [56]P4(f9(x561),x561)+E(x561,a16)
% 0.55/0.71 [57]P3(f9(x571),x571)+E(x571,a16)
% 0.55/0.71 [58]~P4(x581,a21)+P4(f26(x581),a21)
% 0.55/0.71 [59]~P4(x591,a21)+P4(f24(x591),a21)
% 0.55/0.71 [60]~P4(x601,a19)+P4(f10(x601),a21)
% 0.55/0.71 [61]~P2(x611)+P5(x611,f3(a21,a21))
% 0.55/0.71 [92]~P4(x921,a19)+E(f15(f15(f10(x921),f10(x921)),f15(f10(x921),f15(f10(x921),f10(x921)))),x921)
% 0.55/0.71 [93]~P2(x931)+P5(f4(x931,f6(f17(f3(x931,a21)))),a19)
% 0.55/0.71 [109]~P1(x1091)+P5(f6(f6(f17(f3(f20(a22,f3(x1091,a21)),a21)))),x1091)
% 0.55/0.71 [52]~E(x521,x522)+P5(x521,x522)
% 0.55/0.71 [62]P4(x621,a21)+~P4(x621,f5(x622))
% 0.55/0.71 [63]P4(x631,a21)+~P4(x631,f6(x632))
% 0.55/0.71 [64]P4(x641,a21)+~P4(x641,f24(x642))
% 0.55/0.71 [65]P5(x651,x652)+~P4(x651,f24(x652))
% 0.55/0.71 [67]P5(x671,x672)+P4(f7(x671,x672),x671)
% 0.55/0.71 [68]P3(x681,x682)+P4(f12(x681,x682),x682)
% 0.55/0.71 [69]P3(x691,x692)+P4(f12(x691,x692),x691)
% 0.55/0.71 [70]~P4(x701,x702)+~P4(x701,f5(x702))
% 0.55/0.71 [81]~P4(x811,f26(x812))+P4(x811,f11(x811,x812))
% 0.55/0.71 [82]~P4(x821,f26(x822))+P4(f11(x821,x822),x822)
% 0.55/0.71 [86]P5(x861,x862)+~P4(f7(x861,x862),x862)
% 0.55/0.71 [90]~P4(x902,f6(x901))+~E(f20(x901,f3(f15(x902,x902),a21)),a16)
% 0.55/0.71 [100]P4(x1001,a21)+~P4(f15(f15(x1002,x1002),f15(x1002,f15(x1001,x1001))),a2)
% 0.55/0.71 [101]P4(x1011,a21)+~P4(f15(f15(x1012,x1012),f15(x1012,f15(x1011,x1011))),a22)
% 0.55/0.71 [102]P4(x1021,a21)+~P4(f15(f15(x1021,x1021),f15(x1021,f15(x1022,x1022))),a22)
% 0.56/0.71 [103]P4(x1031,x1032)+~P4(f15(f15(x1031,x1031),f15(x1031,f15(x1032,x1032))),a2)
% 0.56/0.71 [104]E(f27(x1041,f15(x1041,x1041)),x1042)+~P4(f15(f15(x1041,x1041),f15(x1041,f15(x1042,x1042))),a22)
% 0.56/0.71 [73]~P4(x731,x733)+P4(x731,f27(x732,x733))
% 0.56/0.71 [74]~P4(x741,x742)+P4(x741,f27(x742,x743))
% 0.56/0.71 [83]P4(x831,a21)+~P4(x831,f15(x832,x833))
% 0.56/0.71 [84]P4(x841,x842)+~P4(x841,f20(x843,x842))
% 0.56/0.71 [85]P4(x851,x852)+~P4(x851,f20(x852,x853))
% 0.56/0.71 [94]~P4(x941,f3(x942,x943))+E(f15(f15(f18(x941),f18(x941)),f15(f18(x941),f15(f25(x941),f25(x941)))),x941)
% 0.56/0.71 [105]P4(x1051,a21)+~P4(f15(f15(x1051,x1051),f15(x1051,f15(x1052,x1052))),f4(x1053,x1054))
% 0.56/0.71 [106]P4(x1061,x1062)+~P4(f15(f15(x1063,x1063),f15(x1063,f15(x1061,x1061))),f3(x1064,x1062))
% 0.56/0.71 [107]P4(x1071,x1072)+~P4(f15(f15(x1071,x1071),f15(x1071,f15(x1073,x1073))),f3(x1072,x1074))
% 0.56/0.71 [113]~P4(f15(f15(f15(f15(x1133,x1133),f15(x1133,f15(x1131,x1131))),f15(f15(x1133,x1133),f15(x1133,f15(x1131,x1131)))),f15(f15(f15(x1133,x1133),f15(x1133,f15(x1131,x1131))),f15(x1132,x1132))),f23(x1134))+P4(f15(f15(f15(f15(x1131,x1131),f15(x1131,f15(x1132,x1132))),f15(f15(x1131,x1131),f15(x1131,f15(x1132,x1132)))),f15(f15(f15(x1131,x1131),f15(x1131,f15(x1132,x1132))),f15(x1133,x1133))),x1134)
% 0.56/0.71 [114]~P4(f15(f15(f15(f15(x1142,x1142),f15(x1142,f15(x1141,x1141))),f15(f15(x1142,x1142),f15(x1142,f15(x1141,x1141)))),f15(f15(f15(x1142,x1142),f15(x1142,f15(x1141,x1141))),f15(x1143,x1143))),f17(x1144))+P4(f15(f15(f15(f15(x1141,x1141),f15(x1141,f15(x1142,x1142))),f15(f15(x1141,x1141),f15(x1141,f15(x1142,x1142)))),f15(f15(f15(x1141,x1141),f15(x1141,f15(x1142,x1142))),f15(x1143,x1143))),x1144)
% 0.56/0.71 [115]~P4(f15(f15(f15(f15(x1151,x1151),f15(x1151,f15(x1152,x1152))),f15(f15(x1151,x1151),f15(x1151,f15(x1152,x1152)))),f15(f15(f15(x1151,x1151),f15(x1151,f15(x1152,x1152))),f15(x1153,x1153))),f23(x1154))+P4(f15(f15(f15(f15(x1151,x1151),f15(x1151,f15(x1152,x1152))),f15(f15(x1151,x1151),f15(x1151,f15(x1152,x1152)))),f15(f15(f15(x1151,x1151),f15(x1151,f15(x1152,x1152))),f15(x1153,x1153))),f3(f3(a21,a21),a21))
% 0.56/0.71 [116]~P4(f15(f15(f15(f15(x1161,x1161),f15(x1161,f15(x1162,x1162))),f15(f15(x1161,x1161),f15(x1161,f15(x1162,x1162)))),f15(f15(f15(x1161,x1161),f15(x1161,f15(x1162,x1162))),f15(x1163,x1163))),f17(x1164))+P4(f15(f15(f15(f15(x1161,x1161),f15(x1161,f15(x1162,x1162))),f15(f15(x1161,x1161),f15(x1161,f15(x1162,x1162)))),f15(f15(f15(x1161,x1161),f15(x1161,f15(x1162,x1162))),f15(x1163,x1163))),f3(f3(a21,a21),a21))
% 0.56/0.71 [119]~P4(f15(f15(x1194,x1194),f15(x1194,f15(x1191,x1191))),f4(x1192,x1193))+P4(x1191,f6(f6(f17(f3(f20(x1192,f3(f6(f6(f17(f3(f20(x1193,f3(f15(x1194,x1194),a21)),a21)))),a21)),a21)))))
% 0.56/0.71 [108]P2(x1081)+~P5(x1081,f3(a21,a21))+~P5(f4(x1081,f6(f17(f3(x1081,a21)))),a19)
% 0.56/0.71 [111]P1(x1111)+~P4(a16,x1111)+~P5(f6(f6(f17(f3(f20(a22,f3(x1111,a21)),a21)))),x1111)
% 0.56/0.71 [112]~P4(x1121,a21)+E(x1121,a16)+P4(f26(f6(f6(f17(f3(f20(a8,f3(f15(x1121,x1121),a21)),a21))))),x1121)
% 0.56/0.71 [66]~P5(x662,x661)+~P5(x661,x662)+E(x661,x662)
% 0.56/0.71 [71]P4(x711,x712)+P4(x711,f5(x712))+~P4(x711,a21)
% 0.56/0.71 [75]~P5(x751,x752)+~P4(x751,a21)+P4(x751,f24(x752))
% 0.56/0.71 [89]P4(x892,f6(x891))+~P4(x892,a21)+E(f20(x891,f3(f15(x892,x892),a21)),a16)
% 0.56/0.71 [91]~P4(x912,a21)+P4(x911,a19)+~E(x911,f15(f15(x912,x912),f15(x912,f15(x912,x912))))
% 0.56/0.71 [97]~P4(x971,x972)+~P4(x972,a21)+P4(f15(f15(x971,x971),f15(x971,f15(x972,x972))),a2)
% 0.56/0.71 [95]~P4(x952,a21)+~P4(x951,a21)+E(f18(f15(f15(x951,x951),f15(x951,f15(x952,x952)))),x951)
% 0.56/0.71 [96]~P4(x962,a21)+~P4(x961,a21)+E(f25(f15(f15(x961,x961),f15(x961,f15(x962,x962)))),x962)
% 0.56/0.71 [110]~P2(x1101)+~P4(x1102,a21)+P4(f6(f6(f17(f3(f20(x1101,f3(x1102,a21)),a21)))),a21)
% 0.56/0.71 [72]~P4(x721,x723)+P4(x721,x722)+~P5(x723,x722)
% 0.56/0.71 [80]~P3(x803,x802)+~P4(x801,x802)+~P4(x801,x803)
% 0.56/0.71 [76]~E(x761,x763)+~P4(x761,a21)+P4(x761,f15(x762,x763))
% 0.56/0.71 [77]~E(x771,x772)+~P4(x771,a21)+P4(x771,f15(x772,x773))
% 0.56/0.71 [78]~P4(x781,x783)+~P4(x783,x782)+P4(x781,f26(x782))
% 0.56/0.71 [79]E(x791,x792)+E(x791,x793)+~P4(x791,f15(x793,x792))
% 0.56/0.71 [87]~P4(x871,x873)+~P4(x871,x872)+P4(x871,f20(x872,x873))
% 0.56/0.71 [88]P4(x881,x882)+P4(x881,x883)+~P4(x881,f27(x883,x882))
% 0.56/0.71 [98]~P4(x982,x984)+~P4(x981,x983)+P4(f15(f15(x981,x981),f15(x981,f15(x982,x982))),f3(x983,x984))
% 0.56/0.71 [117]~P4(f15(f15(f15(f15(x1172,x1172),f15(x1172,f15(x1173,x1173))),f15(f15(x1172,x1172),f15(x1172,f15(x1173,x1173)))),f15(f15(f15(x1172,x1172),f15(x1172,f15(x1173,x1173))),f15(x1171,x1171))),x1174)+P4(f15(f15(f15(f15(x1171,x1171),f15(x1171,f15(x1172,x1172))),f15(f15(x1171,x1171),f15(x1171,f15(x1172,x1172)))),f15(f15(f15(x1171,x1171),f15(x1171,f15(x1172,x1172))),f15(x1173,x1173))),f23(x1174))+~P4(f15(f15(f15(f15(x1171,x1171),f15(x1171,f15(x1172,x1172))),f15(f15(x1171,x1171),f15(x1171,f15(x1172,x1172)))),f15(f15(f15(x1171,x1171),f15(x1171,f15(x1172,x1172))),f15(x1173,x1173))),f3(f3(a21,a21),a21))
% 0.56/0.71 [118]~P4(f15(f15(f15(f15(x1182,x1182),f15(x1182,f15(x1181,x1181))),f15(f15(x1182,x1182),f15(x1182,f15(x1181,x1181)))),f15(f15(f15(x1182,x1182),f15(x1182,f15(x1181,x1181))),f15(x1183,x1183))),x1184)+P4(f15(f15(f15(f15(x1181,x1181),f15(x1181,f15(x1182,x1182))),f15(f15(x1181,x1181),f15(x1181,f15(x1182,x1182)))),f15(f15(f15(x1181,x1181),f15(x1181,f15(x1182,x1182))),f15(x1183,x1183))),f17(x1184))+~P4(f15(f15(f15(f15(x1181,x1181),f15(x1181,f15(x1182,x1182))),f15(f15(x1181,x1181),f15(x1181,f15(x1182,x1182)))),f15(f15(f15(x1181,x1181),f15(x1181,f15(x1182,x1182))),f15(x1183,x1183))),f3(f3(a21,a21),a21))
% 0.56/0.71 [120]~P4(x1201,a21)+P4(f15(f15(x1201,x1201),f15(x1201,f15(x1202,x1202))),f4(x1203,x1204))+~P4(x1202,f6(f6(f17(f3(f20(x1203,f3(f6(f6(f17(f3(f20(x1204,f3(f15(x1201,x1201),a21)),a21)))),a21)),a21)))))
% 0.56/0.71 [99]~P4(x992,a21)+~P4(x991,a21)+~E(f27(x991,f15(x991,x991)),x992)+P4(f15(f15(x991,x991),f15(x991,f15(x992,x992))),a22)
% 0.56/0.71 %EqnAxiom
% 0.56/0.71 [1]E(x11,x11)
% 0.56/0.71 [2]E(x22,x21)+~E(x21,x22)
% 0.56/0.71 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.56/0.71 [4]~E(x41,x42)+E(f15(x41,x43),f15(x42,x43))
% 0.56/0.71 [5]~E(x51,x52)+E(f15(x53,x51),f15(x53,x52))
% 0.56/0.71 [6]~E(x61,x62)+E(f3(x61,x63),f3(x62,x63))
% 0.56/0.71 [7]~E(x71,x72)+E(f3(x73,x71),f3(x73,x72))
% 0.56/0.71 [8]~E(x81,x82)+E(f17(x81),f17(x82))
% 0.56/0.71 [9]~E(x91,x92)+E(f6(x91),f6(x92))
% 0.56/0.71 [10]~E(x101,x102)+E(f4(x101,x103),f4(x102,x103))
% 0.56/0.71 [11]~E(x111,x112)+E(f4(x113,x111),f4(x113,x112))
% 0.56/0.71 [12]~E(x121,x122)+E(f20(x121,x123),f20(x122,x123))
% 0.56/0.71 [13]~E(x131,x132)+E(f20(x133,x131),f20(x133,x132))
% 0.56/0.71 [14]~E(x141,x142)+E(f23(x141),f23(x142))
% 0.56/0.71 [15]~E(x151,x152)+E(f10(x151),f10(x152))
% 0.56/0.71 [16]~E(x161,x162)+E(f27(x161,x163),f27(x162,x163))
% 0.56/0.71 [17]~E(x171,x172)+E(f27(x173,x171),f27(x173,x172))
% 0.56/0.71 [18]~E(x181,x182)+E(f25(x181),f25(x182))
% 0.56/0.71 [19]~E(x191,x192)+E(f26(x191),f26(x192))
% 0.56/0.71 [20]~E(x201,x202)+E(f11(x201,x203),f11(x202,x203))
% 0.56/0.71 [21]~E(x211,x212)+E(f11(x213,x211),f11(x213,x212))
% 0.56/0.71 [22]~E(x221,x222)+E(f9(x221),f9(x222))
% 0.56/0.71 [23]~E(x231,x232)+E(f18(x231),f18(x232))
% 0.56/0.71 [24]~E(x241,x242)+E(f5(x241),f5(x242))
% 0.56/0.71 [25]~E(x251,x252)+E(f24(x251),f24(x252))
% 0.56/0.71 [26]~E(x261,x262)+E(f7(x261,x263),f7(x262,x263))
% 0.56/0.71 [27]~E(x271,x272)+E(f7(x273,x271),f7(x273,x272))
% 0.56/0.71 [28]~E(x281,x282)+E(f12(x281,x283),f12(x282,x283))
% 0.56/0.71 [29]~E(x291,x292)+E(f12(x293,x291),f12(x293,x292))
% 0.56/0.71 [30]~P1(x301)+P1(x302)+~E(x301,x302)
% 0.56/0.71 [31]~P2(x311)+P2(x312)+~E(x311,x312)
% 0.56/0.71 [32]P4(x322,x323)+~E(x321,x322)+~P4(x321,x323)
% 0.56/0.71 [33]P4(x333,x332)+~E(x331,x332)+~P4(x333,x331)
% 0.56/0.71 [34]P5(x342,x343)+~E(x341,x342)+~P5(x341,x343)
% 0.56/0.71 [35]P5(x353,x352)+~E(x351,x352)+~P5(x353,x351)
% 0.56/0.71 [36]P3(x362,x363)+~E(x361,x362)+~P3(x361,x363)
% 0.56/0.71 [37]P3(x373,x372)+~E(x371,x372)+~P3(x373,x371)
% 0.56/0.71
% 0.56/0.71 %-------------------------------------------
% 0.56/0.71 cnf(122,plain,
% 0.56/0.71 (~P4(x1221,a21)+P4(x1221,f15(x1222,x1221))),
% 0.56/0.71 inference(equality_inference,[],[76])).
% 0.56/0.71 cnf(123,plain,
% 0.56/0.71 (~P4(x1231,a21)+P4(x1231,f15(x1231,x1232))),
% 0.56/0.71 inference(equality_inference,[],[77])).
% 0.56/0.71 cnf(132,plain,
% 0.56/0.71 (~P4(x1321,a16)),
% 0.56/0.71 inference(rename_variables,[],[50])).
% 0.56/0.71 cnf(135,plain,
% 0.56/0.71 (~P4(x1351,a16)),
% 0.56/0.71 inference(rename_variables,[],[50])).
% 0.56/0.71 cnf(138,plain,
% 0.56/0.71 (~P4(x1381,a16)),
% 0.56/0.71 inference(rename_variables,[],[50])).
% 0.56/0.71 cnf(141,plain,
% 0.56/0.71 (~P4(x1411,a16)),
% 0.56/0.71 inference(rename_variables,[],[50])).
% 0.56/0.71 cnf(144,plain,
% 0.56/0.71 (~P4(x1441,a16)),
% 0.56/0.71 inference(rename_variables,[],[50])).
% 0.56/0.71 cnf(147,plain,
% 0.56/0.71 (~P4(x1471,a16)),
% 0.56/0.71 inference(rename_variables,[],[50])).
% 0.56/0.71 cnf(150,plain,
% 0.56/0.71 (~P4(x1501,a16)),
% 0.56/0.71 inference(rename_variables,[],[50])).
% 0.56/0.71 cnf(153,plain,
% 0.56/0.71 (P4(f15(x1531,x1532),a21)),
% 0.56/0.71 inference(rename_variables,[],[46])).
% 0.56/0.71 cnf(156,plain,
% 0.56/0.71 (P4(f15(x1561,x1562),a21)),
% 0.56/0.71 inference(rename_variables,[],[46])).
% 0.56/0.71 cnf(162,plain,
% 0.56/0.71 (~P4(x1621,a16)),
% 0.56/0.71 inference(rename_variables,[],[50])).
% 0.56/0.71 cnf(164,plain,
% 0.56/0.71 ($false),
% 0.56/0.71 inference(scs_inference,[],[40,42,50,132,135,138,141,144,147,150,162,46,153,156,122,123,2,54,67,68,69,82,113,114,76,77,30,32,33,34,72]),
% 0.56/0.71 ['proof']).
% 0.56/0.71 % SZS output end Proof
% 0.56/0.71 % Total time :0.010000s
%------------------------------------------------------------------------------