TSTP Solution File: GRA010+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRA010+1 : TPTP v8.1.2. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n028.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 : Wed Aug 30 23:59:43 EDT 2023
% Result : Theorem 0.20s 0.68s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRA010+1 : TPTP v8.1.2. Bugfixed v3.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 03:32:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.67 %-------------------------------------------
% 0.20/0.67 % File :CSE---1.6
% 0.20/0.67 % Problem :theBenchmark
% 0.20/0.67 % Transform :cnf
% 0.20/0.67 % Format :tptp:raw
% 0.20/0.67 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.67
% 0.20/0.67 % Result :Theorem 0.030000s
% 0.20/0.67 % Output :CNFRefutation 0.030000s
% 0.20/0.67 %-------------------------------------------
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 % File : GRA010+1 : TPTP v8.1.2. Bugfixed v3.2.0.
% 0.20/0.67 % Domain : Graph Theory
% 0.20/0.67 % Problem : Maximal shortest path length in terms of triangles
% 0.20/0.67 % Version : Especial.
% 0.20/0.67 % English : In a complete graph, if there is a shortest path P from V1 to
% 0.20/0.67 % V2 with edges E1 and E2, E1 sequential to E2 means there is an
% 0.20/0.67 % edge E3 such that E1, E2, and E3 form a triangle, then the
% 0.20/0.67 % number of sequential pairs in P is the number of triangles
% 0.20/0.67 % in P.
% 0.20/0.67
% 0.20/0.67 % Refs :
% 0.20/0.67 % Source : [TPTP]
% 0.20/0.67 % Names :
% 0.20/0.67
% 0.20/0.67 % Status : Theorem
% 0.20/0.67 % Rating : 0.11 v8.1.0, 0.08 v7.5.0, 0.09 v7.4.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.1.0, 0.13 v6.0.0, 0.17 v5.5.0, 0.19 v5.4.0, 0.29 v5.3.0, 0.30 v5.2.0, 0.20 v5.1.0, 0.29 v5.0.0, 0.25 v4.1.0, 0.30 v4.0.1, 0.35 v4.0.0, 0.33 v3.7.0, 0.25 v3.5.0, 0.26 v3.4.0, 0.32 v3.3.0, 0.29 v3.2.0
% 0.20/0.67
% 0.20/0.67 % Syntax : Number of formulae : 18 ( 1 unt; 0 def)
% 0.20/0.67 % Number of atoms : 97 ( 25 equ)
% 0.20/0.67 % Maximal formula atoms : 9 ( 5 avg)
% 0.20/0.67 % Number of connectives : 85 ( 6 ~; 3 |; 49 &)
% 0.20/0.67 % ( 3 <=>; 19 =>; 2 <=; 3 <~>)
% 0.20/0.67 % Maximal formula depth : 13 ( 9 avg)
% 0.20/0.67 % Maximal term depth : 3 ( 1 avg)
% 0.20/0.67 % Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% 0.20/0.67 % Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% 0.20/0.67 % Number of variables : 71 ( 60 !; 11 ?)
% 0.20/0.67 % SPC : FOF_THM_RFO_SEQ
% 0.20/0.67
% 0.20/0.67 % Comments :
% 0.20/0.67 % Bugfixes : v3.2.0 - Bugfix to GRA001+0.ax
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 %----Include axioms for directed graphs and paths
% 0.20/0.67 include('Axioms/GRA001+0.ax').
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 fof(triangle_defn,axiom,
% 0.20/0.67 ! [E1,E2,E3] :
% 0.20/0.67 ( triangle(E1,E2,E3)
% 0.20/0.67 <=> ( edge(E1)
% 0.20/0.67 & edge(E2)
% 0.20/0.67 & edge(E3)
% 0.20/0.67 & sequential(E1,E2)
% 0.20/0.67 & sequential(E2,E3)
% 0.20/0.67 & sequential(E3,E1) ) ) ).
% 0.20/0.67
% 0.20/0.67 fof(length_defn,axiom,
% 0.20/0.67 ! [V1,V2,P] :
% 0.20/0.67 ( path(V1,V2,P)
% 0.20/0.67 => length_of(P) = number_of_in(edges,P) ) ).
% 0.20/0.67
% 0.20/0.67 fof(path_length_sequential_pairs,axiom,
% 0.20/0.67 ! [V1,V2,P] :
% 0.20/0.67 ( path(V1,V2,P)
% 0.20/0.67 => number_of_in(sequential_pairs,P) = minus(length_of(P),n1) ) ).
% 0.20/0.67
% 0.20/0.67 fof(sequential_pairs_and_triangles,axiom,
% 0.20/0.67 ! [P,V1,V2] :
% 0.20/0.67 ( ( path(V1,V2,P)
% 0.20/0.67 & ! [E1,E2] :
% 0.20/0.67 ( ( on_path(E1,P)
% 0.20/0.67 & on_path(E2,P)
% 0.20/0.67 & sequential(E1,E2) )
% 0.20/0.67 => ? [E3] : triangle(E1,E2,E3) ) )
% 0.20/0.67 => number_of_in(sequential_pairs,P) = number_of_in(triangles,P) ) ).
% 0.20/0.67
% 0.20/0.67 fof(graph_has_them_all,axiom,
% 0.20/0.67 ! [Things,InThese] : less_or_equal(number_of_in(Things,InThese),number_of_in(Things,graph)) ).
% 0.20/0.67
% 0.20/0.67 fof(complete_means_sequential_pairs_and_triangles,conjecture,
% 0.20/0.67 ( complete
% 0.20/0.67 => ! [P,V1,V2] :
% 0.20/0.67 ( ( path(V1,V2,P)
% 0.20/0.68 & ! [E1,E2] :
% 0.20/0.68 ( ( on_path(E1,P)
% 0.20/0.68 & on_path(E2,P)
% 0.20/0.68 & sequential(E1,E2) )
% 0.20/0.68 => ? [E3] : triangle(E1,E2,E3) ) )
% 0.20/0.68 => number_of_in(sequential_pairs,P) = number_of_in(triangles,P) ) ) ).
% 0.20/0.68
% 0.20/0.68 %--------------------------------------------------------------------------
% 0.20/0.68 %-------------------------------------------
% 0.20/0.68 % Proof found
% 0.20/0.68 % SZS status Theorem for theBenchmark
% 0.20/0.68 % SZS output start Proof
% 0.20/0.68 %ClaNum:119(EqnAxiom:57)
% 0.20/0.68 %VarNum:483(SingletonVarNum:192)
% 0.20/0.68 %MaxLitNum:7
% 0.20/0.68 %MaxfuncDepth:2
% 0.20/0.68 %SharedTerms:16
% 0.20/0.68 %goalClause: 58 59 61 95
% 0.20/0.68 %singleGoalClaCount:3
% 0.20/0.68 [58]P1(a500)
% 0.20/0.68 [59]P2(a1,a4,a5)
% 0.20/0.68 [61]~E(f15(a21,a5),f15(a22,a5))
% 0.20/0.68 [60]P3(f15(x601,x602),f15(x601,a16))
% 0.20/0.68 [62]~P4(x621)+P7(f17(x621))
% 0.20/0.68 [63]~P4(x631)+P7(f24(x631))
% 0.20/0.68 [64]~P4(x641)+~E(f17(x641),f24(x641))
% 0.20/0.68 [65]~P8(x651,x652)+~E(x651,x652)
% 0.20/0.68 [66]P4(x661)+~P8(x662,x661)
% 0.20/0.68 [67]P4(x671)+~P8(x671,x672)
% 0.20/0.68 [68]~P8(x682,x681)+E(f24(x681),f17(x682))
% 0.20/0.68 [75]~E(x751,x752)+~P10(x751,x752,x753)
% 0.20/0.68 [76]P4(x761)+~P11(x762,x763,x761)
% 0.20/0.68 [77]P4(x771)+~P11(x772,x771,x773)
% 0.20/0.68 [78]P4(x781)+~P11(x781,x782,x783)
% 0.20/0.68 [79]P7(x791)+~P2(x792,x791,x793)
% 0.20/0.68 [80]P7(x801)+~P2(x801,x802,x803)
% 0.20/0.68 [81]P8(x811,x812)+~P11(x813,x811,x812)
% 0.20/0.68 [82]P8(x821,x822)+~P11(x822,x823,x821)
% 0.20/0.68 [83]P8(x831,x832)+~P11(x831,x832,x833)
% 0.20/0.68 [94]~P10(x941,x942,x943)+P2(x941,x942,x943)
% 0.20/0.68 [84]~P2(x842,x843,x841)+E(f15(a2,x841),f18(x841))
% 0.20/0.68 [99]~P2(x991,x992,x993)+P4(f9(x991,x992,x993))
% 0.20/0.68 [88]~P2(x882,x883,x881)+E(f20(f18(x881),a19),f15(a22,x881))
% 0.20/0.68 [100]~P2(x1001,x1002,x1003)+E(f24(f9(x1001,x1002,x1003)),x1001)
% 0.20/0.68 [91]~P2(x912,x913,x911)+P6(f8(x911),x911)+E(f15(a21,x911),f15(a22,x911))
% 0.20/0.68 [92]~P2(x922,x923,x921)+P6(f14(x921),x921)+E(f15(a21,x921),f15(a22,x921))
% 0.20/0.68 [93]~P2(x932,x933,x931)+P8(f8(x931),f14(x931))+E(f15(a21,x931),f15(a22,x931))
% 0.20/0.68 [112]~P2(x1121,x1122,x1123)+E(f23(f9(x1121,x1122,x1123),f12(x1121,x1122,x1123)),x1123)+E(f17(f9(x1121,x1122,x1123)),x1122)
% 0.20/0.68 [113]~P2(x1131,x1132,x1133)+E(f23(f9(x1131,x1132,x1133),f12(x1131,x1132,x1133)),x1133)+E(f23(f9(x1131,x1132,x1133),a3),x1133)
% 0.20/0.68 [115]~P2(x1151,x1152,x1153)+P2(f17(f9(x1151,x1152,x1153)),x1152,f12(x1151,x1152,x1153))+E(f17(f9(x1151,x1152,x1153)),x1152)
% 0.20/0.68 [116]~P2(x1161,x1162,x1163)+P2(f17(f9(x1161,x1162,x1163)),x1162,f12(x1161,x1162,x1163))+E(f23(f9(x1161,x1162,x1163),a3),x1163)
% 0.20/0.68 [85]P4(x851)+~P6(x851,x852)+~P2(x853,x854,x852)
% 0.20/0.68 [86]P7(x861)+~P5(x861,x862)+~P2(x863,x864,x862)
% 0.20/0.68 [89]~P6(x891,x892)+~P2(x893,x894,x892)+P5(f17(x891),x892)
% 0.20/0.68 [90]~P6(x901,x902)+~P2(x903,x904,x902)+P5(f24(x901),x902)
% 0.20/0.68 [102]~P10(x1023,x1024,x1021)+~P2(x1023,x1024,x1022)+P3(f18(x1021),f18(x1022))
% 0.20/0.68 [105]~P2(x1052,x1053,x1051)+~P11(f8(x1051),f14(x1051),x1054)+E(f15(a21,x1051),f15(a22,x1051))
% 0.20/0.68 [117]~P5(x1174,x1173)+~P2(x1171,x1172,x1173)+P6(f13(x1171,x1172,x1173,x1174),x1173)
% 0.20/0.68 [97]P6(x971,x972)+~P2(x973,x974,x972)+~P9(x975,x971,x972)
% 0.20/0.68 [98]P6(x981,x982)+~P2(x983,x984,x982)+~P9(x981,x985,x982)
% 0.20/0.68 [106]~P9(x1062,x1061,x1063)+~P9(x1061,x1062,x1063)+~P10(x1064,x1065,x1063)
% 0.20/0.68 [95]~P8(x951,x952)+P11(x951,x952,f7(x951,x952))+~P6(x952,a5)+~P6(x951,a5)
% 0.20/0.68 [109]~P2(x1091,x1092,x1093)+E(x1091,x1092)+P10(x1091,x1092,x1093)+P2(x1091,x1092,f10(x1091,x1092,x1093))
% 0.20/0.68 [114]~P2(x1141,x1142,x1143)+E(x1141,x1142)+P10(x1141,x1142,x1143)+~P3(f18(x1143),f18(f10(x1141,x1142,x1143)))
% 0.20/0.68 [119]~P5(x1194,x1193)+~P2(x1191,x1192,x1193)+E(f17(f13(x1191,x1192,x1193,x1194)),x1194)+E(f24(f13(x1191,x1192,x1193,x1194)),x1194)
% 0.20/0.68 [110]~P9(x1101,x1102,x1103)+P8(x1101,x1102)+~P2(x1104,x1105,x1103)+P8(x1101,f11(x1103,x1101,x1102))
% 0.20/0.68 [111]~P9(x1111,x1112,x1113)+P8(x1111,x1112)+~P2(x1114,x1115,x1113)+P9(f11(x1113,x1111,x1112),x1112,x1113)
% 0.20/0.68 [101]~P9(x1013,x1012,x1014)+~P10(x1015,x1016,x1014)+~E(f17(x1011),f17(x1012))+~E(f24(x1011),f24(x1013))
% 0.20/0.68 [69]P8(x691,x692)+~P4(x692)+~P4(x691)+E(x691,x692)+~E(f24(x692),f17(x691))
% 0.20/0.68 [70]~P7(x702)+~P7(x701)+E(x701,x702)+P4(f6(x701,x702))+~P1(a500)
% 0.20/0.68 [118]~P2(x1181,x1182,x1183)+~P2(f17(f9(x1181,x1182,x1183)),x1182,x1184)+~E(f17(f9(x1181,x1182,x1183)),x1182)+~E(f23(f9(x1181,x1182,x1183),x1184),x1183)+~E(f23(f9(x1181,x1182,x1183),a3),x1183)
% 0.20/0.68 [104]~P6(x1042,x1043)+~P6(x1041,x1043)+~P8(x1041,x1042)+P9(x1041,x1042,x1043)+~P2(x1044,x1045,x1043)
% 0.20/0.68 [108]~P9(x1082,x1083,x1086)+~P9(x1081,x1083,x1086)+~P8(x1081,x1082)+~P8(x1081,x1083)+~P2(x1084,x1085,x1086)
% 0.20/0.68 [71]~P7(x712)+~P7(x711)+E(x711,x712)+E(f17(f6(x712,x711)),x712)+E(f17(f6(x712,x711)),x711)+~P1(a500)
% 0.20/0.68 [72]~P7(x722)+~P7(x721)+E(x721,x722)+E(f24(f6(x721,x722)),x722)+E(f24(f6(x721,x722)),x721)+~P1(a500)
% 0.20/0.68 [73]~P7(x732)+~P7(x731)+E(x731,x732)+E(f17(f6(x732,x731)),x731)+E(f24(f6(x732,x731)),x731)+~P1(a500)
% 0.20/0.68 [74]~P7(x742)+~P7(x741)+E(x741,x742)+E(f17(f6(x741,x742)),x741)+E(f24(f6(x741,x742)),x741)+~P1(a500)
% 0.20/0.68 [107]~P6(x1072,x1073)+~P6(x1071,x1073)+~P9(x1074,x1072,x1073)+P9(x1071,x1072,x1073)+~P8(x1071,x1074)+~P2(x1075,x1076,x1073)
% 0.20/0.68 [96]~P4(x963)+~P4(x962)+~P4(x961)+~P8(x963,x961)+~P8(x962,x963)+~P8(x961,x962)+P11(x961,x962,x963)
% 0.20/0.68 [87]~P4(x874)+~P7(x871)+~P7(x872)+P2(x871,x872,x873)+~E(x872,f17(x874))+~E(x871,f24(x874))+~E(x873,f23(x874,a3))
% 0.20/0.68 [103]~P4(x1034)+~P7(x1031)+~P7(x1032)+P2(x1031,x1032,x1033)+~P2(f17(x1034),x1032,x1035)+~E(x1033,f23(x1034,x1035))+~E(x1031,f24(x1034))
% 0.20/0.68 %EqnAxiom
% 0.20/0.68 [1]E(x11,x11)
% 0.20/0.68 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.68 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.68 [4]~E(x41,x42)+E(f15(x41,x43),f15(x42,x43))
% 0.20/0.68 [5]~E(x51,x52)+E(f15(x53,x51),f15(x53,x52))
% 0.20/0.68 [6]~E(x61,x62)+E(f24(x61),f24(x62))
% 0.20/0.68 [7]~E(x71,x72)+E(f13(x71,x73,x74,x75),f13(x72,x73,x74,x75))
% 0.20/0.68 [8]~E(x81,x82)+E(f13(x83,x81,x84,x85),f13(x83,x82,x84,x85))
% 0.20/0.68 [9]~E(x91,x92)+E(f13(x93,x94,x91,x95),f13(x93,x94,x92,x95))
% 0.20/0.68 [10]~E(x101,x102)+E(f13(x103,x104,x105,x101),f13(x103,x104,x105,x102))
% 0.20/0.68 [11]~E(x111,x112)+E(f17(x111),f17(x112))
% 0.20/0.68 [12]~E(x121,x122)+E(f23(x121,x123),f23(x122,x123))
% 0.20/0.68 [13]~E(x131,x132)+E(f23(x133,x131),f23(x133,x132))
% 0.20/0.68 [14]~E(x141,x142)+E(f12(x141,x143,x144),f12(x142,x143,x144))
% 0.20/0.68 [15]~E(x151,x152)+E(f12(x153,x151,x154),f12(x153,x152,x154))
% 0.20/0.68 [16]~E(x161,x162)+E(f12(x163,x164,x161),f12(x163,x164,x162))
% 0.20/0.68 [17]~E(x171,x172)+E(f9(x171,x173,x174),f9(x172,x173,x174))
% 0.20/0.68 [18]~E(x181,x182)+E(f9(x183,x181,x184),f9(x183,x182,x184))
% 0.20/0.68 [19]~E(x191,x192)+E(f9(x193,x194,x191),f9(x193,x194,x192))
% 0.20/0.68 [20]~E(x201,x202)+E(f18(x201),f18(x202))
% 0.20/0.68 [21]~E(x211,x212)+E(f14(x211),f14(x212))
% 0.20/0.68 [22]~E(x221,x222)+E(f7(x221,x223),f7(x222,x223))
% 0.20/0.68 [23]~E(x231,x232)+E(f7(x233,x231),f7(x233,x232))
% 0.20/0.68 [24]~E(x241,x242)+E(f10(x241,x243,x244),f10(x242,x243,x244))
% 0.20/0.68 [25]~E(x251,x252)+E(f10(x253,x251,x254),f10(x253,x252,x254))
% 0.20/0.68 [26]~E(x261,x262)+E(f10(x263,x264,x261),f10(x263,x264,x262))
% 0.20/0.68 [27]~E(x271,x272)+E(f8(x271),f8(x272))
% 0.20/0.68 [28]~E(x281,x282)+E(f6(x281,x283),f6(x282,x283))
% 0.20/0.68 [29]~E(x291,x292)+E(f6(x293,x291),f6(x293,x292))
% 0.20/0.68 [30]~E(x301,x302)+E(f11(x301,x303,x304),f11(x302,x303,x304))
% 0.20/0.68 [31]~E(x311,x312)+E(f11(x313,x311,x314),f11(x313,x312,x314))
% 0.20/0.68 [32]~E(x321,x322)+E(f11(x323,x324,x321),f11(x323,x324,x322))
% 0.20/0.68 [33]~E(x331,x332)+E(f20(x331,x333),f20(x332,x333))
% 0.20/0.68 [34]~E(x341,x342)+E(f20(x343,x341),f20(x343,x342))
% 0.20/0.68 [35]~P1(x351)+P1(x352)+~E(x351,x352)
% 0.20/0.68 [36]P2(x362,x363,x364)+~E(x361,x362)+~P2(x361,x363,x364)
% 0.20/0.68 [37]P2(x373,x372,x374)+~E(x371,x372)+~P2(x373,x371,x374)
% 0.20/0.68 [38]P2(x383,x384,x382)+~E(x381,x382)+~P2(x383,x384,x381)
% 0.20/0.68 [39]P3(x392,x393)+~E(x391,x392)+~P3(x391,x393)
% 0.20/0.68 [40]P3(x403,x402)+~E(x401,x402)+~P3(x403,x401)
% 0.20/0.68 [41]~P7(x411)+P7(x412)+~E(x411,x412)
% 0.20/0.68 [42]~P4(x421)+P4(x422)+~E(x421,x422)
% 0.20/0.68 [43]P6(x432,x433)+~E(x431,x432)+~P6(x431,x433)
% 0.20/0.68 [44]P6(x443,x442)+~E(x441,x442)+~P6(x443,x441)
% 0.20/0.68 [45]P9(x452,x453,x454)+~E(x451,x452)+~P9(x451,x453,x454)
% 0.20/0.68 [46]P9(x463,x462,x464)+~E(x461,x462)+~P9(x463,x461,x464)
% 0.20/0.68 [47]P9(x473,x474,x472)+~E(x471,x472)+~P9(x473,x474,x471)
% 0.20/0.68 [48]P8(x482,x483)+~E(x481,x482)+~P8(x481,x483)
% 0.20/0.68 [49]P8(x493,x492)+~E(x491,x492)+~P8(x493,x491)
% 0.20/0.68 [50]P11(x502,x503,x504)+~E(x501,x502)+~P11(x501,x503,x504)
% 0.20/0.68 [51]P11(x513,x512,x514)+~E(x511,x512)+~P11(x513,x511,x514)
% 0.20/0.68 [52]P11(x523,x524,x522)+~E(x521,x522)+~P11(x523,x524,x521)
% 0.20/0.68 [53]P5(x532,x533)+~E(x531,x532)+~P5(x531,x533)
% 0.20/0.68 [54]P5(x543,x542)+~E(x541,x542)+~P5(x543,x541)
% 0.20/0.68 [55]P10(x552,x553,x554)+~E(x551,x552)+~P10(x551,x553,x554)
% 0.20/0.68 [56]P10(x563,x562,x564)+~E(x561,x562)+~P10(x563,x561,x564)
% 0.20/0.68 [57]P10(x573,x574,x572)+~E(x571,x572)+~P10(x573,x574,x571)
% 0.20/0.68
% 0.20/0.68 %-------------------------------------------
% 0.20/0.68 cnf(121,plain,
% 0.20/0.68 (P6(f14(a5),a5)),
% 0.20/0.68 inference(scs_inference,[],[59,61,4,92])).
% 0.20/0.68 cnf(122,plain,
% 0.20/0.68 (P6(f8(a5),a5)),
% 0.20/0.68 inference(scs_inference,[],[59,61,4,92,91])).
% 0.20/0.68 cnf(124,plain,
% 0.20/0.68 (~P11(f8(a5),f14(a5),x1241)),
% 0.20/0.68 inference(scs_inference,[],[59,61,4,92,91,105])).
% 0.20/0.68 cnf(126,plain,
% 0.20/0.68 (P8(f8(a5),f14(a5))),
% 0.20/0.68 inference(scs_inference,[],[59,61,4,92,91,105,93])).
% 0.20/0.68 cnf(147,plain,
% 0.20/0.68 (E(f15(a2,a5),f18(a5))),
% 0.20/0.68 inference(scs_inference,[],[59,61,4,92,91,105,93,104,2,80,79,67,66,65,63,62,88,84])).
% 0.20/0.68 cnf(149,plain,
% 0.20/0.68 (E(f24(f14(a5)),f17(f8(a5)))),
% 0.20/0.68 inference(scs_inference,[],[59,61,4,92,91,105,93,104,2,80,79,67,66,65,63,62,88,84,68])).
% 0.20/0.68 cnf(159,plain,
% 0.20/0.68 (P5(f24(f14(a5)),a5)),
% 0.20/0.68 inference(scs_inference,[],[59,61,4,92,91,105,93,104,2,80,79,67,66,65,63,62,88,84,68,64,100,99,51,3,90])).
% 0.20/0.68 cnf(163,plain,
% 0.20/0.68 (~P8(f8(a5),f8(a5))),
% 0.20/0.68 inference(scs_inference,[],[59,61,4,92,91,105,93,104,2,80,79,67,66,65,63,62,88,84,68,64,100,99,51,3,90,89,95,108])).
% 0.20/0.68 cnf(230,plain,
% 0.20/0.68 ($false),
% 0.20/0.68 inference(scs_inference,[],[59,149,124,121,122,126,147,163,159,83,82,81,75,34,33,32,31,30,29,28,27,26,25,24,23,22,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,65,2,21,53,49,3,86,95]),
% 0.20/0.68 ['proof']).
% 0.20/0.68 % SZS output end Proof
% 0.20/0.68 % Total time :0.030000s
%------------------------------------------------------------------------------