TSTP Solution File: SET063+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET063+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 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 : Thu Aug 31 14:28:20 EDT 2023
% Result : Theorem 0.19s 0.67s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET063+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n001.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 09:28:15 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.19/0.59 start to proof:theBenchmark
% 0.19/0.66 %-------------------------------------------
% 0.19/0.66 % File :CSE---1.6
% 0.19/0.66 % Problem :theBenchmark
% 0.19/0.66 % Transform :cnf
% 0.19/0.66 % Format :tptp:raw
% 0.19/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.66
% 0.19/0.66 % Result :Theorem 0.010000s
% 0.19/0.66 % Output :CNFRefutation 0.010000s
% 0.19/0.66 %-------------------------------------------
% 0.19/0.66 %--------------------------------------------------------------------------
% 0.19/0.66 % File : SET063+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.19/0.66 % Domain : Set Theory
% 0.19/0.66 % Problem : If X is a subset of the empty set, then X is the empty set
% 0.19/0.66 % Version : [Qua92] axioms : Reduced & Augmented > Complete.
% 0.19/0.66 % English :
% 0.19/0.66
% 0.19/0.66 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 0.19/0.66 % : [BL+86] Boyer et al. (1986), Set Theory in First-Order Logic:
% 0.19/0.67 % Source : [Qua92]
% 0.19/0.67 % Names :
% 0.19/0.67
% 0.19/0.67 % Status : Theorem
% 0.19/0.67 % Rating : 0.14 v7.5.0, 0.12 v7.4.0, 0.17 v7.2.0, 0.14 v7.1.0, 0.09 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.12 v6.2.0, 0.16 v6.1.0, 0.17 v6.0.0, 0.26 v5.5.0, 0.15 v5.4.0
% 0.19/0.67 % Syntax : Number of formulae : 44 ( 16 unt; 0 def)
% 0.19/0.67 % Number of atoms : 102 ( 20 equ)
% 0.19/0.67 % Maximal formula atoms : 4 ( 2 avg)
% 0.19/0.67 % Number of connectives : 63 ( 5 ~; 3 |; 26 &)
% 0.19/0.67 % ( 19 <=>; 10 =>; 0 <=; 0 <~>)
% 0.19/0.67 % Maximal formula depth : 7 ( 4 avg)
% 0.19/0.67 % Maximal term depth : 4 ( 1 avg)
% 0.19/0.67 % Number of predicates : 6 ( 5 usr; 0 prp; 1-2 aty)
% 0.19/0.67 % Number of functors : 26 ( 26 usr; 5 con; 0-3 aty)
% 0.19/0.67 % Number of variables : 87 ( 82 !; 5 ?)
% 0.19/0.67 % SPC : FOF_THM_RFO_SEQ
% 0.19/0.67
% 0.19/0.67 % Comments :
% 0.19/0.67 % Bugfixed : v5.4.0 - Bugfixes to SET005+0 axiom file.
% 0.19/0.67 %--------------------------------------------------------------------------
% 0.19/0.67 %----Include set theory axioms
% 0.19/0.67 include('Axioms/SET005+0.ax').
% 0.19/0.67 %--------------------------------------------------------------------------
% 0.19/0.67 %----SP3: Null class is a subclass of every class corollary
% 0.19/0.67 fof(corollary_of_null_class_is_subclass,conjecture,
% 0.19/0.67 ! [X] :
% 0.19/0.67 ( subclass(X,null_class)
% 0.19/0.67 => X = null_class ) ).
% 0.19/0.67
% 0.19/0.67 %--------------------------------------------------------------------------
% 0.19/0.67 %-------------------------------------------
% 0.19/0.67 % Proof found
% 0.19/0.67 % SZS status Theorem for theBenchmark
% 0.19/0.67 % SZS output start Proof
% 0.19/0.67 %ClaNum:120(EqnAxiom:37)
% 0.19/0.67 %VarNum:607(SingletonVarNum:169)
% 0.19/0.67 %MaxLitNum:4
% 0.19/0.67 %MaxfuncDepth:13
% 0.19/0.67 %SharedTerms:17
% 0.19/0.67 %goalClause: 40 49
% 0.19/0.67 %singleGoalClaCount:2
% 0.19/0.67 [38]P1(a1)
% 0.19/0.67 [39]P2(a8)
% 0.19/0.67 [40]P4(a13,a14)
% 0.19/0.67 [41]P5(a1,a19)
% 0.19/0.67 [49]~E(a14,a13)
% 0.19/0.67 [43]P4(a2,f3(a19,a19))
% 0.19/0.67 [44]P4(a20,f3(a19,a19))
% 0.19/0.67 [42]P4(x421,a19)
% 0.19/0.67 [50]~P5(x501,a14)
% 0.19/0.67 [47]P4(f21(x471),f3(f3(a19,a19),a19))
% 0.19/0.67 [48]P4(f15(x481),f3(f3(a19,a19),a19))
% 0.19/0.67 [45]P5(f26(x451,x452),a19)
% 0.19/0.67 [46]P4(f4(x461,x462),f3(a19,a19))
% 0.19/0.67 [53]~P1(x531)+P4(a1,x531)
% 0.19/0.67 [54]~P1(x541)+P5(a14,x541)
% 0.19/0.67 [55]E(x551,a14)+P5(f9(x551),a19)
% 0.19/0.67 [56]P5(f9(x561),x561)+E(x561,a14)
% 0.19/0.67 [57]P3(f9(x571),x571)+E(x571,a14)
% 0.19/0.67 [58]~P5(x581,a19)+P5(f24(x581),a19)
% 0.19/0.67 [59]~P5(x591,a19)+P5(f22(x591),a19)
% 0.19/0.67 [60]~P5(x601,a17)+P5(f10(x601),a19)
% 0.19/0.67 [61]~P2(x611)+P4(x611,f3(a19,a19))
% 0.19/0.67 [92]~P5(x921,a17)+E(f26(f26(f10(x921),f10(x921)),f26(f10(x921),f26(f10(x921),f10(x921)))),x921)
% 0.19/0.67 [93]~P2(x931)+P4(f4(x931,f6(f15(f3(x931,a19)))),a17)
% 0.19/0.67 [109]~P1(x1091)+P4(f6(f6(f15(f3(f18(a20,f3(x1091,a19)),a19)))),x1091)
% 0.19/0.67 [52]~E(x521,x522)+P4(x521,x522)
% 0.19/0.67 [62]P5(x621,a19)+~P5(x621,f5(x622))
% 0.19/0.67 [63]P5(x631,a19)+~P5(x631,f6(x632))
% 0.19/0.67 [64]P5(x641,a19)+~P5(x641,f22(x642))
% 0.19/0.67 [65]P4(x651,x652)+~P5(x651,f22(x652))
% 0.19/0.67 [67]P4(x671,x672)+P5(f7(x671,x672),x671)
% 0.19/0.67 [68]P3(x681,x682)+P5(f12(x681,x682),x682)
% 0.19/0.67 [69]P3(x691,x692)+P5(f12(x691,x692),x691)
% 0.19/0.67 [70]~P5(x701,x702)+~P5(x701,f5(x702))
% 0.19/0.67 [81]~P5(x811,f24(x812))+P5(x811,f11(x811,x812))
% 0.19/0.67 [82]~P5(x821,f24(x822))+P5(f11(x821,x822),x822)
% 0.19/0.67 [86]P4(x861,x862)+~P5(f7(x861,x862),x862)
% 0.19/0.67 [90]~P5(x902,f6(x901))+~E(f18(x901,f3(f26(x902,x902),a19)),a14)
% 0.19/0.67 [100]P5(x1001,a19)+~P5(f26(f26(x1002,x1002),f26(x1002,f26(x1001,x1001))),a2)
% 0.19/0.67 [101]P5(x1011,a19)+~P5(f26(f26(x1012,x1012),f26(x1012,f26(x1011,x1011))),a20)
% 0.19/0.67 [102]P5(x1021,a19)+~P5(f26(f26(x1021,x1021),f26(x1021,f26(x1022,x1022))),a20)
% 0.19/0.67 [103]P5(x1031,x1032)+~P5(f26(f26(x1031,x1031),f26(x1031,f26(x1032,x1032))),a2)
% 0.19/0.67 [104]E(f25(x1041,f26(x1041,x1041)),x1042)+~P5(f26(f26(x1041,x1041),f26(x1041,f26(x1042,x1042))),a20)
% 0.19/0.67 [73]~P5(x731,x733)+P5(x731,f25(x732,x733))
% 0.19/0.67 [74]~P5(x741,x742)+P5(x741,f25(x742,x743))
% 0.19/0.67 [83]P5(x831,a19)+~P5(x831,f26(x832,x833))
% 0.19/0.67 [84]P5(x841,x842)+~P5(x841,f18(x843,x842))
% 0.19/0.67 [85]P5(x851,x852)+~P5(x851,f18(x852,x853))
% 0.19/0.67 [94]~P5(x941,f3(x942,x943))+E(f26(f26(f16(x941),f16(x941)),f26(f16(x941),f26(f23(x941),f23(x941)))),x941)
% 0.19/0.67 [105]P5(x1051,a19)+~P5(f26(f26(x1051,x1051),f26(x1051,f26(x1052,x1052))),f4(x1053,x1054))
% 0.19/0.67 [106]P5(x1061,x1062)+~P5(f26(f26(x1063,x1063),f26(x1063,f26(x1061,x1061))),f3(x1064,x1062))
% 0.19/0.67 [107]P5(x1071,x1072)+~P5(f26(f26(x1071,x1071),f26(x1071,f26(x1073,x1073))),f3(x1072,x1074))
% 0.19/0.67 [113]~P5(f26(f26(f26(f26(x1133,x1133),f26(x1133,f26(x1131,x1131))),f26(f26(x1133,x1133),f26(x1133,f26(x1131,x1131)))),f26(f26(f26(x1133,x1133),f26(x1133,f26(x1131,x1131))),f26(x1132,x1132))),f21(x1134))+P5(f26(f26(f26(f26(x1131,x1131),f26(x1131,f26(x1132,x1132))),f26(f26(x1131,x1131),f26(x1131,f26(x1132,x1132)))),f26(f26(f26(x1131,x1131),f26(x1131,f26(x1132,x1132))),f26(x1133,x1133))),x1134)
% 0.19/0.67 [114]~P5(f26(f26(f26(f26(x1142,x1142),f26(x1142,f26(x1141,x1141))),f26(f26(x1142,x1142),f26(x1142,f26(x1141,x1141)))),f26(f26(f26(x1142,x1142),f26(x1142,f26(x1141,x1141))),f26(x1143,x1143))),f15(x1144))+P5(f26(f26(f26(f26(x1141,x1141),f26(x1141,f26(x1142,x1142))),f26(f26(x1141,x1141),f26(x1141,f26(x1142,x1142)))),f26(f26(f26(x1141,x1141),f26(x1141,f26(x1142,x1142))),f26(x1143,x1143))),x1144)
% 0.19/0.67 [115]~P5(f26(f26(f26(f26(x1151,x1151),f26(x1151,f26(x1152,x1152))),f26(f26(x1151,x1151),f26(x1151,f26(x1152,x1152)))),f26(f26(f26(x1151,x1151),f26(x1151,f26(x1152,x1152))),f26(x1153,x1153))),f21(x1154))+P5(f26(f26(f26(f26(x1151,x1151),f26(x1151,f26(x1152,x1152))),f26(f26(x1151,x1151),f26(x1151,f26(x1152,x1152)))),f26(f26(f26(x1151,x1151),f26(x1151,f26(x1152,x1152))),f26(x1153,x1153))),f3(f3(a19,a19),a19))
% 0.19/0.67 [116]~P5(f26(f26(f26(f26(x1161,x1161),f26(x1161,f26(x1162,x1162))),f26(f26(x1161,x1161),f26(x1161,f26(x1162,x1162)))),f26(f26(f26(x1161,x1161),f26(x1161,f26(x1162,x1162))),f26(x1163,x1163))),f15(x1164))+P5(f26(f26(f26(f26(x1161,x1161),f26(x1161,f26(x1162,x1162))),f26(f26(x1161,x1161),f26(x1161,f26(x1162,x1162)))),f26(f26(f26(x1161,x1161),f26(x1161,f26(x1162,x1162))),f26(x1163,x1163))),f3(f3(a19,a19),a19))
% 0.19/0.67 [119]~P5(f26(f26(x1194,x1194),f26(x1194,f26(x1191,x1191))),f4(x1192,x1193))+P5(x1191,f6(f6(f15(f3(f18(x1192,f3(f6(f6(f15(f3(f18(x1193,f3(f26(x1194,x1194),a19)),a19)))),a19)),a19)))))
% 0.19/0.67 [108]P2(x1081)+~P4(x1081,f3(a19,a19))+~P4(f4(x1081,f6(f15(f3(x1081,a19)))),a17)
% 0.19/0.67 [111]P1(x1111)+~P5(a14,x1111)+~P4(f6(f6(f15(f3(f18(a20,f3(x1111,a19)),a19)))),x1111)
% 0.19/0.67 [112]~P5(x1121,a19)+E(x1121,a14)+P5(f24(f6(f6(f15(f3(f18(a8,f3(f26(x1121,x1121),a19)),a19))))),x1121)
% 0.19/0.67 [66]~P4(x662,x661)+~P4(x661,x662)+E(x661,x662)
% 0.19/0.67 [71]P5(x711,x712)+P5(x711,f5(x712))+~P5(x711,a19)
% 0.19/0.67 [75]~P4(x751,x752)+~P5(x751,a19)+P5(x751,f22(x752))
% 0.19/0.67 [89]P5(x892,f6(x891))+~P5(x892,a19)+E(f18(x891,f3(f26(x892,x892),a19)),a14)
% 0.19/0.67 [91]~P5(x912,a19)+P5(x911,a17)+~E(x911,f26(f26(x912,x912),f26(x912,f26(x912,x912))))
% 0.19/0.67 [97]~P5(x971,x972)+~P5(x972,a19)+P5(f26(f26(x971,x971),f26(x971,f26(x972,x972))),a2)
% 0.19/0.67 [95]~P5(x952,a19)+~P5(x951,a19)+E(f16(f26(f26(x951,x951),f26(x951,f26(x952,x952)))),x951)
% 0.19/0.67 [96]~P5(x962,a19)+~P5(x961,a19)+E(f23(f26(f26(x961,x961),f26(x961,f26(x962,x962)))),x962)
% 0.19/0.67 [110]~P2(x1101)+~P5(x1102,a19)+P5(f6(f6(f15(f3(f18(x1101,f3(x1102,a19)),a19)))),a19)
% 0.19/0.67 [72]~P5(x721,x723)+P5(x721,x722)+~P4(x723,x722)
% 0.19/0.67 [80]~P3(x803,x802)+~P5(x801,x802)+~P5(x801,x803)
% 0.19/0.67 [76]~E(x761,x763)+~P5(x761,a19)+P5(x761,f26(x762,x763))
% 0.19/0.67 [77]~E(x771,x772)+~P5(x771,a19)+P5(x771,f26(x772,x773))
% 0.19/0.67 [78]~P5(x781,x783)+~P5(x783,x782)+P5(x781,f24(x782))
% 0.19/0.67 [79]E(x791,x792)+E(x791,x793)+~P5(x791,f26(x793,x792))
% 0.19/0.67 [87]~P5(x871,x873)+~P5(x871,x872)+P5(x871,f18(x872,x873))
% 0.19/0.67 [88]P5(x881,x882)+P5(x881,x883)+~P5(x881,f25(x883,x882))
% 0.19/0.67 [98]~P5(x982,x984)+~P5(x981,x983)+P5(f26(f26(x981,x981),f26(x981,f26(x982,x982))),f3(x983,x984))
% 0.19/0.67 [117]~P5(f26(f26(f26(f26(x1172,x1172),f26(x1172,f26(x1173,x1173))),f26(f26(x1172,x1172),f26(x1172,f26(x1173,x1173)))),f26(f26(f26(x1172,x1172),f26(x1172,f26(x1173,x1173))),f26(x1171,x1171))),x1174)+P5(f26(f26(f26(f26(x1171,x1171),f26(x1171,f26(x1172,x1172))),f26(f26(x1171,x1171),f26(x1171,f26(x1172,x1172)))),f26(f26(f26(x1171,x1171),f26(x1171,f26(x1172,x1172))),f26(x1173,x1173))),f21(x1174))+~P5(f26(f26(f26(f26(x1171,x1171),f26(x1171,f26(x1172,x1172))),f26(f26(x1171,x1171),f26(x1171,f26(x1172,x1172)))),f26(f26(f26(x1171,x1171),f26(x1171,f26(x1172,x1172))),f26(x1173,x1173))),f3(f3(a19,a19),a19))
% 0.19/0.67 [118]~P5(f26(f26(f26(f26(x1182,x1182),f26(x1182,f26(x1181,x1181))),f26(f26(x1182,x1182),f26(x1182,f26(x1181,x1181)))),f26(f26(f26(x1182,x1182),f26(x1182,f26(x1181,x1181))),f26(x1183,x1183))),x1184)+P5(f26(f26(f26(f26(x1181,x1181),f26(x1181,f26(x1182,x1182))),f26(f26(x1181,x1181),f26(x1181,f26(x1182,x1182)))),f26(f26(f26(x1181,x1181),f26(x1181,f26(x1182,x1182))),f26(x1183,x1183))),f15(x1184))+~P5(f26(f26(f26(f26(x1181,x1181),f26(x1181,f26(x1182,x1182))),f26(f26(x1181,x1181),f26(x1181,f26(x1182,x1182)))),f26(f26(f26(x1181,x1181),f26(x1181,f26(x1182,x1182))),f26(x1183,x1183))),f3(f3(a19,a19),a19))
% 0.19/0.67 [120]~P5(x1201,a19)+P5(f26(f26(x1201,x1201),f26(x1201,f26(x1202,x1202))),f4(x1203,x1204))+~P5(x1202,f6(f6(f15(f3(f18(x1203,f3(f6(f6(f15(f3(f18(x1204,f3(f26(x1201,x1201),a19)),a19)))),a19)),a19)))))
% 0.19/0.67 [99]~P5(x992,a19)+~P5(x991,a19)+~E(f25(x991,f26(x991,x991)),x992)+P5(f26(f26(x991,x991),f26(x991,f26(x992,x992))),a20)
% 0.19/0.67 %EqnAxiom
% 0.19/0.67 [1]E(x11,x11)
% 0.19/0.67 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.67 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 0.19/0.67 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 0.19/0.67 [6]~E(x61,x62)+E(f6(x61),f6(x62))
% 0.19/0.67 [7]~E(x71,x72)+E(f26(x71,x73),f26(x72,x73))
% 0.19/0.67 [8]~E(x81,x82)+E(f26(x83,x81),f26(x83,x82))
% 0.19/0.67 [9]~E(x91,x92)+E(f4(x91,x93),f4(x92,x93))
% 0.19/0.67 [10]~E(x101,x102)+E(f4(x103,x101),f4(x103,x102))
% 0.19/0.67 [11]~E(x111,x112)+E(f15(x111),f15(x112))
% 0.19/0.67 [12]~E(x121,x122)+E(f21(x121),f21(x122))
% 0.19/0.67 [13]~E(x131,x132)+E(f23(x131),f23(x132))
% 0.19/0.67 [14]~E(x141,x142)+E(f18(x141,x143),f18(x142,x143))
% 0.19/0.67 [15]~E(x151,x152)+E(f18(x153,x151),f18(x153,x152))
% 0.19/0.67 [16]~E(x161,x162)+E(f16(x161),f16(x162))
% 0.19/0.67 [17]~E(x171,x172)+E(f10(x171),f10(x172))
% 0.19/0.67 [18]~E(x181,x182)+E(f25(x181,x183),f25(x182,x183))
% 0.19/0.67 [19]~E(x191,x192)+E(f25(x193,x191),f25(x193,x192))
% 0.19/0.67 [20]~E(x201,x202)+E(f9(x201),f9(x202))
% 0.19/0.67 [21]~E(x211,x212)+E(f7(x211,x213),f7(x212,x213))
% 0.19/0.67 [22]~E(x221,x222)+E(f7(x223,x221),f7(x223,x222))
% 0.19/0.67 [23]~E(x231,x232)+E(f11(x231,x233),f11(x232,x233))
% 0.19/0.67 [24]~E(x241,x242)+E(f11(x243,x241),f11(x243,x242))
% 0.19/0.67 [25]~E(x251,x252)+E(f24(x251),f24(x252))
% 0.19/0.67 [26]~E(x261,x262)+E(f22(x261),f22(x262))
% 0.19/0.67 [27]~E(x271,x272)+E(f5(x271),f5(x272))
% 0.19/0.67 [28]~E(x281,x282)+E(f12(x281,x283),f12(x282,x283))
% 0.19/0.67 [29]~E(x291,x292)+E(f12(x293,x291),f12(x293,x292))
% 0.19/0.67 [30]~P1(x301)+P1(x302)+~E(x301,x302)
% 0.19/0.67 [31]~P2(x311)+P2(x312)+~E(x311,x312)
% 0.19/0.67 [32]P4(x322,x323)+~E(x321,x322)+~P4(x321,x323)
% 0.19/0.67 [33]P4(x333,x332)+~E(x331,x332)+~P4(x333,x331)
% 0.19/0.67 [34]P5(x342,x343)+~E(x341,x342)+~P5(x341,x343)
% 0.19/0.67 [35]P5(x353,x352)+~E(x351,x352)+~P5(x353,x351)
% 0.19/0.67 [36]P3(x362,x363)+~E(x361,x362)+~P3(x361,x363)
% 0.19/0.67 [37]P3(x373,x372)+~E(x371,x372)+~P3(x373,x371)
% 0.19/0.67
% 0.19/0.67 %-------------------------------------------
% 0.19/0.67 cnf(122,plain,
% 0.19/0.67 (~P5(x1221,a14)),
% 0.19/0.67 inference(rename_variables,[],[50])).
% 0.19/0.68 cnf(124,plain,
% 0.19/0.68 (~P5(x1241,a14)),
% 0.19/0.68 inference(rename_variables,[],[50])).
% 0.19/0.68 cnf(127,plain,
% 0.19/0.68 (~P5(x1271,a14)),
% 0.19/0.68 inference(rename_variables,[],[50])).
% 0.19/0.68 cnf(130,plain,
% 0.19/0.68 (~P5(x1301,a14)),
% 0.19/0.68 inference(rename_variables,[],[50])).
% 0.19/0.68 cnf(133,plain,
% 0.19/0.68 (~P5(x1331,a14)),
% 0.19/0.68 inference(rename_variables,[],[50])).
% 0.19/0.68 cnf(136,plain,
% 0.19/0.68 (~P5(x1361,a14)),
% 0.19/0.68 inference(rename_variables,[],[50])).
% 0.19/0.68 cnf(139,plain,
% 0.19/0.68 (~P5(x1391,a14)),
% 0.19/0.68 inference(rename_variables,[],[50])).
% 0.19/0.68 cnf(142,plain,
% 0.19/0.68 (~P5(x1421,a14)),
% 0.19/0.68 inference(rename_variables,[],[50])).
% 0.19/0.68 cnf(150,plain,
% 0.19/0.68 ($false),
% 0.19/0.68 inference(scs_inference,[],[40,42,50,122,124,127,130,133,136,139,142,49,41,54,69,68,67,82,114,113,35,72,66,75,2]),
% 0.19/0.68 ['proof']).
% 0.19/0.68 % SZS output end Proof
% 0.19/0.68 % Total time :0.010000s
%------------------------------------------------------------------------------