TSTP Solution File: SET091+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET091+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n029.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 14:28:37 EDT 2023
% Result : Theorem 0.72s 0.78s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET091+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.17/0.34 % Computer : n029.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Sat Aug 26 11:59:39 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.20/0.61 start to proof:theBenchmark
% 0.72/0.77 %-------------------------------------------
% 0.72/0.77 % File :CSE---1.6
% 0.72/0.77 % Problem :theBenchmark
% 0.72/0.77 % Transform :cnf
% 0.72/0.77 % Format :tptp:raw
% 0.72/0.77 % Command :java -jar mcs_scs.jar %d %s
% 0.72/0.77
% 0.72/0.77 % Result :Theorem 0.090000s
% 0.72/0.77 % Output :CNFRefutation 0.090000s
% 0.72/0.77 %-------------------------------------------
% 0.72/0.78 %--------------------------------------------------------------------------
% 0.72/0.78 % File : SET091+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.72/0.78 % Domain : Set Theory
% 0.72/0.78 % Problem : Uniqueness of member_of when X is not a singleton of a set
% 0.72/0.78 % Version : [Qua92] axioms : Reduced & Augmented > Complete.
% 0.72/0.78 % English :
% 0.72/0.78
% 0.72/0.78 % Refs : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 0.72/0.78 % : [BL+86] Boyer et al. (1986), Set Theory in First-Order Logic:
% 0.72/0.78 % Source : [Qua92]
% 0.72/0.78 % Names :
% 0.72/0.78
% 0.72/0.78 % Status : Theorem
% 0.72/0.78 % Rating : 0.19 v8.1.0, 0.28 v7.4.0, 0.17 v7.3.0
% 0.72/0.78 % Syntax : Number of formulae : 48 ( 16 unt; 0 def)
% 0.72/0.78 % Number of atoms : 112 ( 26 equ)
% 0.72/0.78 % Maximal formula atoms : 4 ( 2 avg)
% 0.72/0.78 % Number of connectives : 70 ( 6 ~; 5 |; 28 &)
% 0.72/0.78 % ( 19 <=>; 12 =>; 0 <=; 0 <~>)
% 0.72/0.78 % Maximal formula depth : 8 ( 4 avg)
% 0.72/0.78 % Maximal term depth : 4 ( 1 avg)
% 0.72/0.78 % Number of predicates : 6 ( 5 usr; 0 prp; 1-2 aty)
% 0.72/0.78 % Number of functors : 27 ( 27 usr; 5 con; 0-3 aty)
% 0.72/0.78 % Number of variables : 93 ( 87 !; 6 ?)
% 0.72/0.78 % SPC : FOF_THM_RFO_SEQ
% 0.72/0.78
% 0.72/0.78 % Comments :
% 0.72/0.78 % Bugfixed : v5.4.0 - Bugfixes to SET005+0 axiom file.
% 0.72/0.78 % : v7.3.0 - Added axioms for member_of
% 0.72/0.78 %--------------------------------------------------------------------------
% 0.72/0.78 %----Include set theory axioms
% 0.72/0.78 include('Axioms/SET005+0.ax').
% 0.72/0.78 %--------------------------------------------------------------------------
% 0.72/0.78 %----Axioms to define member_of, based on SET086+1
% 0.72/0.78 fof(member_singleton_universal,axiom,
% 0.72/0.78 ! [Y] :
% 0.72/0.78 ( member(Y,universal_class)
% 0.72/0.78 => member(member_of(singleton(Y)),universal_class) ) ).
% 0.72/0.78
% 0.72/0.78 fof(member_singleton_singleton,axiom,
% 0.72/0.78 ! [Y] :
% 0.72/0.78 ( member(Y,universal_class)
% 0.72/0.78 => singleton(member_of(singleton(Y))) = singleton(Y) ) ).
% 0.72/0.78
% 0.72/0.78 fof(member_universal_self,axiom,
% 0.72/0.78 ! [X] :
% 0.72/0.78 ( member(member_of(X),universal_class)
% 0.72/0.78 | member_of(X) = X ) ).
% 0.72/0.78
% 0.72/0.78 fof(singleton_self,axiom,
% 0.72/0.78 ! [X] :
% 0.72/0.78 ( singleton(member_of(X)) = X
% 0.72/0.78 | member_of(X) = X ) ).
% 0.72/0.78
% 0.72/0.78 %----SS8: Uniqueness of member_of when X is not a singleton of a set
% 0.72/0.78 %----Two theorems combined in one. Like SS6 it could be broken up.
% 0.72/0.78 fof(member_when_not_a_singleton,conjecture,
% 0.72/0.78 ! [X,U] :
% 0.72/0.78 ( ( ~ ? [Y] :
% 0.72/0.78 ( member(Y,universal_class)
% 0.72/0.78 & X = singleton(Y) )
% 0.72/0.78 & X = U )
% 0.72/0.78 => member_of(X) = U ) ).
% 0.72/0.78
% 0.72/0.78 %--------------------------------------------------------------------------
% 0.72/0.78 %-------------------------------------------
% 0.72/0.78 % Proof found
% 0.72/0.78 % SZS status Theorem for theBenchmark
% 0.72/0.78 % SZS output start Proof
% 0.72/0.78 %ClaNum:126(EqnAxiom:38)
% 0.72/0.78 %VarNum:628(SingletonVarNum:174)
% 0.72/0.78 %MaxLitNum:4
% 0.72/0.78 %MaxfuncDepth:13
% 0.72/0.78 %SharedTerms:19
% 0.72/0.78 %goalClause: 39 50 65
% 0.72/0.78 %singleGoalClaCount:2
% 0.72/0.78 [39]E(a1,a2)
% 0.72/0.78 [40]P1(a3)
% 0.72/0.78 [41]P2(a10)
% 0.72/0.78 [42]P4(a3,a15)
% 0.72/0.78 [44]P5(a4,f5(a15,a15))
% 0.72/0.78 [45]P5(a16,f5(a15,a15))
% 0.72/0.78 [50]~E(f20(a2),a1)
% 0.72/0.78 [43]P5(x431,a15)
% 0.72/0.78 [51]~P4(x511,a23)
% 0.72/0.78 [48]P5(f17(x481),f5(f5(a15,a15),a15))
% 0.72/0.78 [49]P5(f18(x491),f5(f5(a15,a15),a15))
% 0.72/0.78 [46]P4(f28(x461,x462),a15)
% 0.72/0.78 [47]P5(f6(x471,x472),f5(a15,a15))
% 0.72/0.78 [54]~P1(x541)+P5(a3,x541)
% 0.72/0.78 [55]~P1(x551)+P4(a23,x551)
% 0.72/0.78 [56]E(x561,a23)+P4(f11(x561),a15)
% 0.72/0.78 [57]P4(f11(x571),x571)+E(x571,a23)
% 0.72/0.78 [58]P3(f11(x581),x581)+E(x581,a23)
% 0.72/0.78 [59]E(f20(x591),x591)+P4(f20(x591),a15)
% 0.72/0.78 [61]~P4(x611,a15)+P4(f26(x611),a15)
% 0.72/0.78 [62]~P4(x621,a15)+P4(f24(x621),a15)
% 0.72/0.78 [63]~P4(x631,a21)+P4(f12(x631),a15)
% 0.72/0.78 [64]~P2(x641)+P5(x641,f5(a15,a15))
% 0.72/0.78 [65]~P4(x651,a15)+~E(f28(x651,x651),a2)
% 0.72/0.78 [60]E(f20(x601),x601)+E(f28(f20(x601),f20(x601)),x601)
% 0.72/0.78 [92]~P4(x921,a15)+P4(f20(f28(x921,x921)),a15)
% 0.72/0.78 [95]~P4(x951,a15)+E(f28(f20(f28(x951,x951)),f20(f28(x951,x951))),f28(x951,x951))
% 0.72/0.78 [98]~P4(x981,a21)+E(f28(f28(f12(x981),f12(x981)),f28(f12(x981),f28(f12(x981),f12(x981)))),x981)
% 0.72/0.78 [99]~P2(x991)+P5(f6(x991,f8(f18(f5(x991,a15)))),a21)
% 0.72/0.78 [115]~P1(x1151)+P5(f8(f8(f18(f5(f22(a16,f5(x1151,a15)),a15)))),x1151)
% 0.72/0.78 [53]~E(x531,x532)+P5(x531,x532)
% 0.72/0.78 [66]P4(x661,a15)+~P4(x661,f7(x662))
% 0.72/0.78 [67]P4(x671,a15)+~P4(x671,f8(x672))
% 0.72/0.78 [68]P4(x681,a15)+~P4(x681,f24(x682))
% 0.72/0.78 [69]P5(x691,x692)+~P4(x691,f24(x692))
% 0.72/0.78 [71]P5(x711,x712)+P4(f9(x711,x712),x711)
% 0.72/0.78 [72]P3(x721,x722)+P4(f14(x721,x722),x722)
% 0.72/0.78 [73]P3(x731,x732)+P4(f14(x731,x732),x731)
% 0.72/0.78 [74]~P4(x741,x742)+~P4(x741,f7(x742))
% 0.72/0.78 [85]~P4(x851,f26(x852))+P4(x851,f13(x851,x852))
% 0.72/0.78 [86]~P4(x861,f26(x862))+P4(f13(x861,x862),x862)
% 0.72/0.78 [90]P5(x901,x902)+~P4(f9(x901,x902),x902)
% 0.72/0.78 [96]~P4(x962,f8(x961))+~E(f22(x961,f5(f28(x962,x962),a15)),a23)
% 0.72/0.78 [106]P4(x1061,a15)+~P4(f28(f28(x1062,x1062),f28(x1062,f28(x1061,x1061))),a4)
% 0.72/0.78 [107]P4(x1071,a15)+~P4(f28(f28(x1072,x1072),f28(x1072,f28(x1071,x1071))),a16)
% 0.72/0.78 [108]P4(x1081,a15)+~P4(f28(f28(x1081,x1081),f28(x1081,f28(x1082,x1082))),a16)
% 0.72/0.78 [109]P4(x1091,x1092)+~P4(f28(f28(x1091,x1091),f28(x1091,f28(x1092,x1092))),a4)
% 0.72/0.78 [110]E(f27(x1101,f28(x1101,x1101)),x1102)+~P4(f28(f28(x1101,x1101),f28(x1101,f28(x1102,x1102))),a16)
% 0.72/0.78 [77]~P4(x771,x773)+P4(x771,f27(x772,x773))
% 0.72/0.78 [78]~P4(x781,x782)+P4(x781,f27(x782,x783))
% 0.72/0.78 [87]P4(x871,a15)+~P4(x871,f28(x872,x873))
% 0.72/0.78 [88]P4(x881,x882)+~P4(x881,f22(x883,x882))
% 0.72/0.78 [89]P4(x891,x892)+~P4(x891,f22(x892,x893))
% 0.72/0.78 [100]~P4(x1001,f5(x1002,x1003))+E(f28(f28(f19(x1001),f19(x1001)),f28(f19(x1001),f28(f25(x1001),f25(x1001)))),x1001)
% 0.72/0.78 [111]P4(x1111,a15)+~P4(f28(f28(x1111,x1111),f28(x1111,f28(x1112,x1112))),f6(x1113,x1114))
% 0.72/0.78 [112]P4(x1121,x1122)+~P4(f28(f28(x1123,x1123),f28(x1123,f28(x1121,x1121))),f5(x1124,x1122))
% 0.72/0.78 [113]P4(x1131,x1132)+~P4(f28(f28(x1131,x1131),f28(x1131,f28(x1133,x1133))),f5(x1132,x1134))
% 0.72/0.78 [119]~P4(f28(f28(f28(f28(x1193,x1193),f28(x1193,f28(x1191,x1191))),f28(f28(x1193,x1193),f28(x1193,f28(x1191,x1191)))),f28(f28(f28(x1193,x1193),f28(x1193,f28(x1191,x1191))),f28(x1192,x1192))),f17(x1194))+P4(f28(f28(f28(f28(x1191,x1191),f28(x1191,f28(x1192,x1192))),f28(f28(x1191,x1191),f28(x1191,f28(x1192,x1192)))),f28(f28(f28(x1191,x1191),f28(x1191,f28(x1192,x1192))),f28(x1193,x1193))),x1194)
% 0.72/0.78 [120]~P4(f28(f28(f28(f28(x1202,x1202),f28(x1202,f28(x1201,x1201))),f28(f28(x1202,x1202),f28(x1202,f28(x1201,x1201)))),f28(f28(f28(x1202,x1202),f28(x1202,f28(x1201,x1201))),f28(x1203,x1203))),f18(x1204))+P4(f28(f28(f28(f28(x1201,x1201),f28(x1201,f28(x1202,x1202))),f28(f28(x1201,x1201),f28(x1201,f28(x1202,x1202)))),f28(f28(f28(x1201,x1201),f28(x1201,f28(x1202,x1202))),f28(x1203,x1203))),x1204)
% 0.72/0.78 [121]~P4(f28(f28(f28(f28(x1211,x1211),f28(x1211,f28(x1212,x1212))),f28(f28(x1211,x1211),f28(x1211,f28(x1212,x1212)))),f28(f28(f28(x1211,x1211),f28(x1211,f28(x1212,x1212))),f28(x1213,x1213))),f17(x1214))+P4(f28(f28(f28(f28(x1211,x1211),f28(x1211,f28(x1212,x1212))),f28(f28(x1211,x1211),f28(x1211,f28(x1212,x1212)))),f28(f28(f28(x1211,x1211),f28(x1211,f28(x1212,x1212))),f28(x1213,x1213))),f5(f5(a15,a15),a15))
% 0.72/0.78 [122]~P4(f28(f28(f28(f28(x1221,x1221),f28(x1221,f28(x1222,x1222))),f28(f28(x1221,x1221),f28(x1221,f28(x1222,x1222)))),f28(f28(f28(x1221,x1221),f28(x1221,f28(x1222,x1222))),f28(x1223,x1223))),f18(x1224))+P4(f28(f28(f28(f28(x1221,x1221),f28(x1221,f28(x1222,x1222))),f28(f28(x1221,x1221),f28(x1221,f28(x1222,x1222)))),f28(f28(f28(x1221,x1221),f28(x1221,f28(x1222,x1222))),f28(x1223,x1223))),f5(f5(a15,a15),a15))
% 0.72/0.78 [125]~P4(f28(f28(x1254,x1254),f28(x1254,f28(x1251,x1251))),f6(x1252,x1253))+P4(x1251,f8(f8(f18(f5(f22(x1252,f5(f8(f8(f18(f5(f22(x1253,f5(f28(x1254,x1254),a15)),a15)))),a15)),a15)))))
% 0.72/0.78 [114]P2(x1141)+~P5(x1141,f5(a15,a15))+~P5(f6(x1141,f8(f18(f5(x1141,a15)))),a21)
% 0.72/0.78 [117]P1(x1171)+~P4(a23,x1171)+~P5(f8(f8(f18(f5(f22(a16,f5(x1171,a15)),a15)))),x1171)
% 0.72/0.78 [118]~P4(x1181,a15)+E(x1181,a23)+P4(f26(f8(f8(f18(f5(f22(a10,f5(f28(x1181,x1181),a15)),a15))))),x1181)
% 0.72/0.78 [70]~P5(x702,x701)+~P5(x701,x702)+E(x701,x702)
% 0.72/0.78 [75]P4(x751,x752)+P4(x751,f7(x752))+~P4(x751,a15)
% 0.72/0.78 [79]~P5(x791,x792)+~P4(x791,a15)+P4(x791,f24(x792))
% 0.72/0.78 [94]P4(x942,f8(x941))+~P4(x942,a15)+E(f22(x941,f5(f28(x942,x942),a15)),a23)
% 0.72/0.78 [97]~P4(x972,a15)+P4(x971,a21)+~E(x971,f28(f28(x972,x972),f28(x972,f28(x972,x972))))
% 0.72/0.78 [103]~P4(x1031,x1032)+~P4(x1032,a15)+P4(f28(f28(x1031,x1031),f28(x1031,f28(x1032,x1032))),a4)
% 0.72/0.78 [101]~P4(x1012,a15)+~P4(x1011,a15)+E(f19(f28(f28(x1011,x1011),f28(x1011,f28(x1012,x1012)))),x1011)
% 0.72/0.78 [102]~P4(x1022,a15)+~P4(x1021,a15)+E(f25(f28(f28(x1021,x1021),f28(x1021,f28(x1022,x1022)))),x1022)
% 0.72/0.78 [116]~P2(x1161)+~P4(x1162,a15)+P4(f8(f8(f18(f5(f22(x1161,f5(x1162,a15)),a15)))),a15)
% 0.72/0.78 [76]~P4(x761,x763)+P4(x761,x762)+~P5(x763,x762)
% 0.72/0.78 [84]~P3(x843,x842)+~P4(x841,x842)+~P4(x841,x843)
% 0.72/0.78 [80]~E(x801,x803)+~P4(x801,a15)+P4(x801,f28(x802,x803))
% 0.72/0.78 [81]~E(x811,x812)+~P4(x811,a15)+P4(x811,f28(x812,x813))
% 0.72/0.78 [82]~P4(x821,x823)+~P4(x823,x822)+P4(x821,f26(x822))
% 0.72/0.78 [83]E(x831,x832)+E(x831,x833)+~P4(x831,f28(x833,x832))
% 0.72/0.78 [91]~P4(x911,x913)+~P4(x911,x912)+P4(x911,f22(x912,x913))
% 0.72/0.78 [93]P4(x931,x932)+P4(x931,x933)+~P4(x931,f27(x933,x932))
% 0.72/0.78 [104]~P4(x1042,x1044)+~P4(x1041,x1043)+P4(f28(f28(x1041,x1041),f28(x1041,f28(x1042,x1042))),f5(x1043,x1044))
% 0.72/0.78 [123]~P4(f28(f28(f28(f28(x1232,x1232),f28(x1232,f28(x1233,x1233))),f28(f28(x1232,x1232),f28(x1232,f28(x1233,x1233)))),f28(f28(f28(x1232,x1232),f28(x1232,f28(x1233,x1233))),f28(x1231,x1231))),x1234)+P4(f28(f28(f28(f28(x1231,x1231),f28(x1231,f28(x1232,x1232))),f28(f28(x1231,x1231),f28(x1231,f28(x1232,x1232)))),f28(f28(f28(x1231,x1231),f28(x1231,f28(x1232,x1232))),f28(x1233,x1233))),f17(x1234))+~P4(f28(f28(f28(f28(x1231,x1231),f28(x1231,f28(x1232,x1232))),f28(f28(x1231,x1231),f28(x1231,f28(x1232,x1232)))),f28(f28(f28(x1231,x1231),f28(x1231,f28(x1232,x1232))),f28(x1233,x1233))),f5(f5(a15,a15),a15))
% 0.72/0.78 [124]~P4(f28(f28(f28(f28(x1242,x1242),f28(x1242,f28(x1241,x1241))),f28(f28(x1242,x1242),f28(x1242,f28(x1241,x1241)))),f28(f28(f28(x1242,x1242),f28(x1242,f28(x1241,x1241))),f28(x1243,x1243))),x1244)+P4(f28(f28(f28(f28(x1241,x1241),f28(x1241,f28(x1242,x1242))),f28(f28(x1241,x1241),f28(x1241,f28(x1242,x1242)))),f28(f28(f28(x1241,x1241),f28(x1241,f28(x1242,x1242))),f28(x1243,x1243))),f18(x1244))+~P4(f28(f28(f28(f28(x1241,x1241),f28(x1241,f28(x1242,x1242))),f28(f28(x1241,x1241),f28(x1241,f28(x1242,x1242)))),f28(f28(f28(x1241,x1241),f28(x1241,f28(x1242,x1242))),f28(x1243,x1243))),f5(f5(a15,a15),a15))
% 0.72/0.78 [126]~P4(x1261,a15)+P4(f28(f28(x1261,x1261),f28(x1261,f28(x1262,x1262))),f6(x1263,x1264))+~P4(x1262,f8(f8(f18(f5(f22(x1263,f5(f8(f8(f18(f5(f22(x1264,f5(f28(x1261,x1261),a15)),a15)))),a15)),a15)))))
% 0.72/0.78 [105]~P4(x1052,a15)+~P4(x1051,a15)+~E(f27(x1051,f28(x1051,x1051)),x1052)+P4(f28(f28(x1051,x1051),f28(x1051,f28(x1052,x1052))),a16)
% 0.72/0.79 %EqnAxiom
% 0.72/0.79 [1]E(x11,x11)
% 0.72/0.79 [2]E(x22,x21)+~E(x21,x22)
% 0.72/0.79 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.72/0.79 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 0.72/0.79 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 0.72/0.79 [6]~E(x61,x62)+E(f8(x61),f8(x62))
% 0.72/0.79 [7]~E(x71,x72)+E(f28(x71,x73),f28(x72,x73))
% 0.72/0.79 [8]~E(x81,x82)+E(f28(x83,x81),f28(x83,x82))
% 0.72/0.79 [9]~E(x91,x92)+E(f6(x91,x93),f6(x92,x93))
% 0.72/0.79 [10]~E(x101,x102)+E(f6(x103,x101),f6(x103,x102))
% 0.72/0.79 [11]~E(x111,x112)+E(f18(x111),f18(x112))
% 0.72/0.79 [12]~E(x121,x122)+E(f17(x121),f17(x122))
% 0.72/0.79 [13]~E(x131,x132)+E(f25(x131),f25(x132))
% 0.72/0.79 [14]~E(x141,x142)+E(f22(x141,x143),f22(x142,x143))
% 0.72/0.79 [15]~E(x151,x152)+E(f22(x153,x151),f22(x153,x152))
% 0.72/0.79 [16]~E(x161,x162)+E(f27(x161,x163),f27(x162,x163))
% 0.72/0.79 [17]~E(x171,x172)+E(f27(x173,x171),f27(x173,x172))
% 0.72/0.79 [18]~E(x181,x182)+E(f19(x181),f19(x182))
% 0.72/0.79 [19]~E(x191,x192)+E(f12(x191),f12(x192))
% 0.72/0.79 [20]~E(x201,x202)+E(f20(x201),f20(x202))
% 0.72/0.79 [21]~E(x211,x212)+E(f11(x211),f11(x212))
% 0.72/0.79 [22]~E(x221,x222)+E(f14(x221,x223),f14(x222,x223))
% 0.72/0.79 [23]~E(x231,x232)+E(f14(x233,x231),f14(x233,x232))
% 0.72/0.79 [24]~E(x241,x242)+E(f9(x241,x243),f9(x242,x243))
% 0.72/0.79 [25]~E(x251,x252)+E(f9(x253,x251),f9(x253,x252))
% 0.72/0.79 [26]~E(x261,x262)+E(f26(x261),f26(x262))
% 0.72/0.79 [27]~E(x271,x272)+E(f24(x271),f24(x272))
% 0.72/0.79 [28]~E(x281,x282)+E(f13(x281,x283),f13(x282,x283))
% 0.72/0.79 [29]~E(x291,x292)+E(f13(x293,x291),f13(x293,x292))
% 0.72/0.79 [30]~E(x301,x302)+E(f7(x301),f7(x302))
% 0.72/0.79 [31]~P1(x311)+P1(x312)+~E(x311,x312)
% 0.72/0.79 [32]~P2(x321)+P2(x322)+~E(x321,x322)
% 0.72/0.79 [33]P4(x332,x333)+~E(x331,x332)+~P4(x331,x333)
% 0.72/0.79 [34]P4(x343,x342)+~E(x341,x342)+~P4(x343,x341)
% 0.72/0.79 [35]P5(x352,x353)+~E(x351,x352)+~P5(x351,x353)
% 0.72/0.79 [36]P5(x363,x362)+~E(x361,x362)+~P5(x363,x361)
% 0.72/0.79 [37]P3(x372,x373)+~E(x371,x372)+~P3(x371,x373)
% 0.72/0.79 [38]P3(x383,x382)+~E(x381,x382)+~P3(x383,x381)
% 0.72/0.79
% 0.72/0.79 %-------------------------------------------
% 0.72/0.79 cnf(129,plain,
% 0.72/0.79 (~P4(x1291,a23)),
% 0.72/0.79 inference(rename_variables,[],[51])).
% 0.72/0.79 cnf(132,plain,
% 0.72/0.79 (~P4(x1321,a23)),
% 0.72/0.79 inference(rename_variables,[],[51])).
% 0.72/0.79 cnf(134,plain,
% 0.72/0.79 (P3(x1341,a23)),
% 0.72/0.79 inference(scs_inference,[],[39,51,129,132,2,55,73,72])).
% 0.72/0.79 cnf(135,plain,
% 0.72/0.79 (~P4(x1351,a23)),
% 0.72/0.79 inference(rename_variables,[],[51])).
% 0.72/0.79 cnf(138,plain,
% 0.72/0.79 (~P4(x1381,a23)),
% 0.72/0.79 inference(rename_variables,[],[51])).
% 0.72/0.79 cnf(141,plain,
% 0.72/0.79 (~P4(x1411,a23)),
% 0.72/0.79 inference(rename_variables,[],[51])).
% 0.72/0.79 cnf(144,plain,
% 0.72/0.79 (~P4(x1441,a23)),
% 0.72/0.79 inference(rename_variables,[],[51])).
% 0.72/0.79 cnf(147,plain,
% 0.72/0.79 (~P4(x1471,a23)),
% 0.72/0.79 inference(rename_variables,[],[51])).
% 0.72/0.79 cnf(150,plain,
% 0.72/0.79 (~P4(x1501,a23)),
% 0.72/0.79 inference(rename_variables,[],[51])).
% 0.72/0.79 cnf(157,plain,
% 0.72/0.79 (P5(a1,a2)),
% 0.72/0.79 inference(scs_inference,[],[39,43,51,129,132,135,138,141,144,147,40,42,50,2,55,73,72,71,86,120,119,34,3,79,54,53])).
% 0.72/0.79 cnf(214,plain,
% 0.72/0.79 (P4(f20(a2),a15)),
% 0.72/0.79 inference(scs_inference,[],[39,43,51,129,132,135,138,141,144,147,150,40,41,42,50,2,55,73,72,71,86,120,119,34,3,79,54,53,64,115,89,88,78,77,74,62,61,57,56,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,99,92,65,59])).
% 0.72/0.79 cnf(218,plain,
% 0.72/0.79 (E(f28(f20(a2),f20(a2)),a2)),
% 0.72/0.79 inference(scs_inference,[],[39,43,51,129,132,135,138,141,144,147,150,40,41,42,50,2,55,73,72,71,86,120,119,34,3,79,54,53,64,115,89,88,78,77,74,62,61,57,56,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,99,92,65,59,112,60])).
% 0.72/0.79 cnf(227,plain,
% 0.72/0.79 (~E(a3,a23)),
% 0.72/0.79 inference(scs_inference,[],[39,43,51,129,132,135,138,141,144,147,150,40,41,42,50,2,55,73,72,71,86,120,119,34,3,79,54,53,64,115,89,88,78,77,74,62,61,57,56,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,99,92,65,59,112,60,113,109,95,33,31])).
% 0.72/0.79 cnf(228,plain,
% 0.72/0.79 (~P5(a15,a23)),
% 0.72/0.79 inference(scs_inference,[],[39,43,51,129,132,135,138,141,144,147,150,40,41,42,50,2,55,73,72,71,86,120,119,34,3,79,54,53,64,115,89,88,78,77,74,62,61,57,56,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,99,92,65,59,112,60,113,109,95,33,31,76])).
% 0.72/0.79 cnf(229,plain,
% 0.72/0.79 (~P4(x2291,a23)),
% 0.72/0.79 inference(rename_variables,[],[51])).
% 0.72/0.79 cnf(234,plain,
% 0.72/0.79 (~P4(x2341,a23)),
% 0.72/0.79 inference(rename_variables,[],[51])).
% 0.72/0.79 cnf(250,plain,
% 0.72/0.79 (P4(f28(f28(a3,a3),f28(a3,f28(a3,a3))),f5(a15,a15))),
% 0.72/0.79 inference(scs_inference,[],[39,43,51,129,132,135,138,141,144,147,150,229,234,40,41,42,50,2,55,73,72,71,86,120,119,34,3,79,54,53,64,115,89,88,78,77,74,62,61,57,56,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,99,92,65,59,112,60,113,109,95,33,31,76,70,75,116,93,91,83,118,102,101,104])).
% 0.72/0.79 cnf(252,plain,
% 0.72/0.79 (P3(f11(a15),a15)),
% 0.72/0.79 inference(scs_inference,[],[39,43,51,129,132,135,138,141,144,147,150,229,234,40,41,42,50,2,55,73,72,71,86,120,119,34,3,79,54,53,64,115,89,88,78,77,74,62,61,57,56,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,99,92,65,59,112,60,113,109,95,33,31,76,70,75,116,93,91,83,118,102,101,104,58])).
% 0.72/0.79 cnf(255,plain,
% 0.72/0.79 (~P3(a15,a15)),
% 0.72/0.79 inference(scs_inference,[],[39,43,51,129,132,135,138,141,144,147,150,229,234,40,41,42,50,2,55,73,72,71,86,120,119,34,3,79,54,53,64,115,89,88,78,77,74,62,61,57,56,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,99,92,65,59,112,60,113,109,95,33,31,76,70,75,116,93,91,83,118,102,101,104,58,36,84])).
% 0.72/0.79 cnf(257,plain,
% 0.72/0.79 (P4(f26(f8(f8(f18(f5(f22(a10,f5(f28(a3,a3),a15)),a15))))),f26(a15))),
% 0.72/0.79 inference(scs_inference,[],[39,43,51,129,132,135,138,141,144,147,150,229,234,40,41,42,50,2,55,73,72,71,86,120,119,34,3,79,54,53,64,115,89,88,78,77,74,62,61,57,56,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,99,92,65,59,112,60,113,109,95,33,31,76,70,75,116,93,91,83,118,102,101,104,58,36,84,82])).
% 0.72/0.79 cnf(301,plain,
% 0.72/0.79 ($false),
% 0.72/0.79 inference(scs_inference,[],[39,51,46,50,42,250,257,134,228,218,214,252,157,227,255,69,85,100,97,38,37,35,57,71,102,73,86,75,2,65]),
% 0.72/0.79 ['proof']).
% 0.72/0.79 % SZS output end Proof
% 0.72/0.79 % Total time :0.090000s
%------------------------------------------------------------------------------