TSTP Solution File: GRA002+4 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRA002+4 : TPTP v8.1.2. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n020.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 23:59:41 EDT 2023
% Result : Theorem 0.22s 0.78s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRA002+4 : TPTP v8.1.2. Bugfixed v3.2.0.
% 0.00/0.15 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.16/0.36 % Computer : n020.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sun Aug 27 03:42:59 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.22/0.60 start to proof:theBenchmark
% 0.22/0.76 %-------------------------------------------
% 0.22/0.76 % File :CSE---1.6
% 0.22/0.76 % Problem :theBenchmark
% 0.22/0.76 % Transform :cnf
% 0.22/0.77 % Format :tptp:raw
% 0.22/0.77 % Command :java -jar mcs_scs.jar %d %s
% 0.22/0.77
% 0.22/0.77 % Result :Theorem 0.100000s
% 0.22/0.77 % Output :CNFRefutation 0.100000s
% 0.22/0.77 %-------------------------------------------
% 0.22/0.77 %--------------------------------------------------------------------------
% 0.22/0.77 % File : GRA002+4 : TPTP v8.1.2. Bugfixed v3.2.0.
% 0.22/0.77 % Domain : Graph Theory
% 0.22/0.77 % Problem : Maximal shortest path length in terms of triangles
% 0.22/0.77 % Version : Augmented > Especial.
% 0.22/0.77 % English : In a complete directed graph, the maximal length of a shortest
% 0.22/0.77 % path between two vertices is the number of triangles in the
% 0.22/0.77 % graph minus 1.
% 0.22/0.77
% 0.22/0.77 % Refs :
% 0.22/0.77 % Source : [TPTP]
% 0.22/0.77 % Names :
% 0.22/0.77
% 0.22/0.77 % Status : Theorem
% 0.22/0.77 % Rating : 0.17 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.2.0, 0.16 v6.1.0, 0.27 v6.0.0, 0.26 v5.5.0, 0.22 v5.4.0, 0.25 v5.3.0, 0.37 v5.2.0, 0.15 v5.1.0, 0.19 v5.0.0, 0.29 v4.1.0, 0.30 v4.0.1, 0.35 v4.0.0, 0.33 v3.7.0, 0.35 v3.5.0, 0.37 v3.3.0, 0.36 v3.2.0
% 0.22/0.77
% 0.22/0.77 % Syntax : Number of formulae : 19 ( 1 unt; 0 def)
% 0.22/0.77 % Number of atoms : 96 ( 25 equ)
% 0.22/0.77 % Maximal formula atoms : 9 ( 5 avg)
% 0.22/0.77 % Number of connectives : 83 ( 6 ~; 3 |; 46 &)
% 0.22/0.77 % ( 3 <=>; 20 =>; 2 <=; 3 <~>)
% 0.22/0.77 % Maximal formula depth : 13 ( 8 avg)
% 0.22/0.77 % Maximal term depth : 3 ( 1 avg)
% 0.22/0.77 % Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% 0.22/0.77 % Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% 0.22/0.77 % Number of variables : 71 ( 61 !; 10 ?)
% 0.22/0.77 % SPC : FOF_THM_RFO_SEQ
% 0.22/0.77
% 0.22/0.77 % Comments :
% 0.22/0.77 % Bugfixes : v3.2.0 - Bugfix to GRA001+0.ax
% 0.22/0.77 %--------------------------------------------------------------------------
% 0.22/0.77 %----Include axioms for directed graphs and paths
% 0.22/0.77 include('Axioms/GRA001+0.ax').
% 0.22/0.77 %--------------------------------------------------------------------------
% 0.22/0.77 fof(triangle_defn,axiom,
% 0.22/0.77 ! [E1,E2,E3] :
% 0.22/0.77 ( triangle(E1,E2,E3)
% 0.22/0.77 <=> ( edge(E1)
% 0.22/0.77 & edge(E2)
% 0.22/0.77 & edge(E3)
% 0.22/0.77 & sequential(E1,E2)
% 0.22/0.77 & sequential(E2,E3)
% 0.22/0.77 & sequential(E3,E1) ) ) ).
% 0.22/0.77
% 0.22/0.77 fof(length_defn,axiom,
% 0.22/0.77 ! [V1,V2,P] :
% 0.22/0.77 ( path(V1,V2,P)
% 0.22/0.77 => length_of(P) = number_of_in(edges,P) ) ).
% 0.22/0.77
% 0.22/0.77 fof(path_length_sequential_pairs,axiom,
% 0.22/0.77 ! [V1,V2,P] :
% 0.22/0.77 ( path(V1,V2,P)
% 0.22/0.77 => number_of_in(sequential_pairs,P) = minus(length_of(P),n1) ) ).
% 0.22/0.77
% 0.22/0.77 fof(sequential_pairs_and_triangles,axiom,
% 0.22/0.77 ! [P,V1,V2] :
% 0.22/0.77 ( ( path(V1,V2,P)
% 0.22/0.77 & ! [E1,E2] :
% 0.22/0.77 ( ( on_path(E1,P)
% 0.22/0.77 & on_path(E2,P)
% 0.22/0.77 & sequential(E1,E2) )
% 0.22/0.77 => ? [E3] : triangle(E1,E2,E3) ) )
% 0.22/0.77 => number_of_in(sequential_pairs,P) = number_of_in(triangles,P) ) ).
% 0.22/0.77
% 0.22/0.77 fof(graph_has_them_all,axiom,
% 0.22/0.77 ! [Things,InThese] : less_or_equal(number_of_in(Things,InThese),number_of_in(Things,graph)) ).
% 0.22/0.77
% 0.22/0.77 fof(triangles_and_sequential_pairs,lemma,
% 0.22/0.77 ( complete
% 0.22/0.77 => ! [P,V1,V2] :
% 0.22/0.77 ( shortest_path(V1,V2,P)
% 0.22/0.77 => number_of_in(sequential_pairs,P) = number_of_in(triangles,P) ) ) ).
% 0.22/0.77
% 0.22/0.78 fof(maximal_path_length,conjecture,
% 0.22/0.78 ( complete
% 0.22/0.78 => ! [P,V1,V2] :
% 0.22/0.78 ( shortest_path(V1,V2,P)
% 0.22/0.78 => less_or_equal(minus(length_of(P),n1),number_of_in(triangles,graph)) ) ) ).
% 0.22/0.78
% 0.22/0.78 %--------------------------------------------------------------------------
% 0.22/0.78 %-------------------------------------------
% 0.22/0.78 % Proof found
% 0.22/0.78 % SZS status Theorem for theBenchmark
% 0.22/0.78 % SZS output start Proof
% 0.22/0.78 %ClaNum:117(EqnAxiom:55)
% 0.22/0.78 %VarNum:480(SingletonVarNum:193)
% 0.22/0.78 %MaxLitNum:7
% 0.22/0.78 %MaxfuncDepth:2
% 0.22/0.78 %SharedTerms:17
% 0.22/0.78 %goalClause: 56 57 59
% 0.22/0.78 %singleGoalClaCount:3
% 0.22/0.78 [56]P1(a500)
% 0.22/0.78 [57]P2(a1,a4,a5)
% 0.22/0.78 [59]~P3(f19(f16(a5),a18),f14(a20,a15))
% 0.22/0.78 [58]P3(f14(x581,x582),f14(x581,a15))
% 0.22/0.78 [60]~P4(x601)+P10(f17(x601))
% 0.22/0.78 [61]~P4(x611)+P10(f21(x611))
% 0.22/0.78 [62]~P4(x621)+~E(f17(x621),f21(x621))
% 0.22/0.78 [63]~P6(x631,x632)+~E(x631,x632)
% 0.22/0.78 [64]P4(x641)+~P6(x642,x641)
% 0.22/0.78 [65]P4(x651)+~P6(x651,x652)
% 0.22/0.78 [66]~P6(x662,x661)+E(f21(x661),f17(x662))
% 0.22/0.78 [73]~E(x731,x732)+~P2(x731,x732,x733)
% 0.22/0.78 [74]P4(x741)+~P11(x742,x743,x741)
% 0.22/0.78 [75]P4(x751)+~P11(x752,x751,x753)
% 0.22/0.78 [76]P4(x761)+~P11(x761,x762,x763)
% 0.22/0.78 [77]P10(x771)+~P7(x772,x771,x773)
% 0.22/0.78 [78]P10(x781)+~P7(x781,x782,x783)
% 0.22/0.78 [79]P6(x791,x792)+~P11(x793,x791,x792)
% 0.22/0.78 [80]P6(x801,x802)+~P11(x802,x803,x801)
% 0.22/0.78 [81]P6(x811,x812)+~P11(x811,x812,x813)
% 0.22/0.78 [93]~P2(x931,x932,x933)+P7(x931,x932,x933)
% 0.22/0.78 [82]~P7(x822,x823,x821)+E(f14(a2,x821),f16(x821))
% 0.22/0.78 [97]~P7(x971,x972,x973)+P4(f8(x971,x972,x973))
% 0.22/0.78 [87]~P7(x872,x873,x871)+E(f19(f16(x871),a18),f14(a22,x871))
% 0.22/0.78 [98]~P7(x981,x982,x983)+E(f21(f8(x981,x982,x983)),x981)
% 0.22/0.78 [83]~P2(x832,x833,x831)+E(f14(a20,x831),f14(a22,x831))+~P1(a500)
% 0.22/0.78 [90]~P7(x902,x903,x901)+P8(f7(x901),x901)+E(f14(a20,x901),f14(a22,x901))
% 0.22/0.78 [91]~P7(x912,x913,x911)+P8(f13(x911),x911)+E(f14(a20,x911),f14(a22,x911))
% 0.22/0.78 [92]~P7(x922,x923,x921)+P6(f7(x921),f13(x921))+E(f14(a20,x921),f14(a22,x921))
% 0.22/0.78 [110]~P7(x1101,x1102,x1103)+E(f23(f8(x1101,x1102,x1103),f11(x1101,x1102,x1103)),x1103)+E(f17(f8(x1101,x1102,x1103)),x1102)
% 0.22/0.78 [111]~P7(x1111,x1112,x1113)+E(f23(f8(x1111,x1112,x1113),f11(x1111,x1112,x1113)),x1113)+E(f23(f8(x1111,x1112,x1113),a3),x1113)
% 0.22/0.78 [113]~P7(x1131,x1132,x1133)+P7(f17(f8(x1131,x1132,x1133)),x1132,f11(x1131,x1132,x1133))+E(f17(f8(x1131,x1132,x1133)),x1132)
% 0.22/0.78 [114]~P7(x1141,x1142,x1143)+P7(f17(f8(x1141,x1142,x1143)),x1142,f11(x1141,x1142,x1143))+E(f23(f8(x1141,x1142,x1143),a3),x1143)
% 0.22/0.78 [84]P4(x841)+~P8(x841,x842)+~P7(x843,x844,x842)
% 0.22/0.78 [85]P10(x851)+~P5(x851,x852)+~P7(x853,x854,x852)
% 0.22/0.78 [88]~P8(x881,x882)+~P7(x883,x884,x882)+P5(f17(x881),x882)
% 0.22/0.78 [89]~P8(x891,x892)+~P7(x893,x894,x892)+P5(f21(x891),x892)
% 0.22/0.78 [100]~P2(x1003,x1004,x1001)+~P7(x1003,x1004,x1002)+P3(f16(x1001),f16(x1002))
% 0.22/0.78 [103]~P7(x1032,x1033,x1031)+~P11(f7(x1031),f13(x1031),x1034)+E(f14(a20,x1031),f14(a22,x1031))
% 0.22/0.78 [115]~P5(x1154,x1153)+~P7(x1151,x1152,x1153)+P8(f12(x1151,x1152,x1153,x1154),x1153)
% 0.22/0.78 [95]P8(x951,x952)+~P7(x953,x954,x952)+~P9(x955,x951,x952)
% 0.22/0.78 [96]P8(x961,x962)+~P7(x963,x964,x962)+~P9(x961,x965,x962)
% 0.22/0.78 [104]~P9(x1042,x1041,x1043)+~P9(x1041,x1042,x1043)+~P2(x1044,x1045,x1043)
% 0.22/0.78 [107]~P7(x1071,x1072,x1073)+E(x1071,x1072)+P2(x1071,x1072,x1073)+P7(x1071,x1072,f9(x1071,x1072,x1073))
% 0.22/0.78 [112]~P7(x1121,x1122,x1123)+E(x1121,x1122)+P2(x1121,x1122,x1123)+~P3(f16(x1123),f16(f9(x1121,x1122,x1123)))
% 0.22/0.78 [117]~P5(x1174,x1173)+~P7(x1171,x1172,x1173)+E(f17(f12(x1171,x1172,x1173,x1174)),x1174)+E(f21(f12(x1171,x1172,x1173,x1174)),x1174)
% 0.22/0.78 [108]~P9(x1081,x1082,x1083)+P6(x1081,x1082)+~P7(x1084,x1085,x1083)+P6(x1081,f10(x1083,x1081,x1082))
% 0.22/0.78 [109]~P9(x1091,x1092,x1093)+P6(x1091,x1092)+~P7(x1094,x1095,x1093)+P9(f10(x1093,x1091,x1092),x1092,x1093)
% 0.22/0.78 [99]~P9(x993,x992,x994)+~P2(x995,x996,x994)+~E(f17(x991),f17(x992))+~E(f21(x991),f21(x993))
% 0.22/0.78 [67]P6(x671,x672)+~P4(x672)+~P4(x671)+E(x671,x672)+~E(f21(x672),f17(x671))
% 0.22/0.78 [68]~P10(x682)+~P10(x681)+E(x681,x682)+P4(f6(x681,x682))+~P1(a500)
% 0.22/0.78 [116]~P7(x1161,x1162,x1163)+~P7(f17(f8(x1161,x1162,x1163)),x1162,x1164)+~E(f17(f8(x1161,x1162,x1163)),x1162)+~E(f23(f8(x1161,x1162,x1163),x1164),x1163)+~E(f23(f8(x1161,x1162,x1163),a3),x1163)
% 0.22/0.78 [102]~P8(x1022,x1023)+~P8(x1021,x1023)+~P6(x1021,x1022)+P9(x1021,x1022,x1023)+~P7(x1024,x1025,x1023)
% 0.22/0.78 [106]~P9(x1062,x1063,x1066)+~P9(x1061,x1063,x1066)+~P6(x1061,x1062)+~P6(x1061,x1063)+~P7(x1064,x1065,x1066)
% 0.22/0.78 [69]~P10(x692)+~P10(x691)+E(x691,x692)+E(f17(f6(x692,x691)),x692)+E(f17(f6(x692,x691)),x691)+~P1(a500)
% 0.22/0.78 [70]~P10(x702)+~P10(x701)+E(x701,x702)+E(f21(f6(x701,x702)),x702)+E(f21(f6(x701,x702)),x701)+~P1(a500)
% 0.22/0.78 [71]~P10(x712)+~P10(x711)+E(x711,x712)+E(f17(f6(x712,x711)),x711)+E(f21(f6(x712,x711)),x711)+~P1(a500)
% 0.22/0.78 [72]~P10(x722)+~P10(x721)+E(x721,x722)+E(f17(f6(x721,x722)),x721)+E(f21(f6(x721,x722)),x721)+~P1(a500)
% 0.22/0.78 [105]~P8(x1052,x1053)+~P8(x1051,x1053)+~P9(x1054,x1052,x1053)+P9(x1051,x1052,x1053)+~P6(x1051,x1054)+~P7(x1055,x1056,x1053)
% 0.22/0.78 [94]~P4(x943)+~P4(x942)+~P4(x941)+~P6(x943,x941)+~P6(x942,x943)+~P6(x941,x942)+P11(x941,x942,x943)
% 0.22/0.78 [86]~P4(x864)+~P10(x861)+~P10(x862)+P7(x861,x862,x863)+~E(x862,f17(x864))+~E(x861,f21(x864))+~E(x863,f23(x864,a3))
% 0.22/0.78 [101]~P4(x1014)+~P10(x1011)+~P10(x1012)+P7(x1011,x1012,x1013)+~P7(f17(x1014),x1012,x1015)+~E(x1013,f23(x1014,x1015))+~E(x1011,f21(x1014))
% 0.22/0.78 %EqnAxiom
% 0.22/0.78 [1]E(x11,x11)
% 0.22/0.78 [2]E(x22,x21)+~E(x21,x22)
% 0.22/0.78 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.22/0.78 [4]~E(x41,x42)+E(f14(x41,x43),f14(x42,x43))
% 0.22/0.78 [5]~E(x51,x52)+E(f14(x53,x51),f14(x53,x52))
% 0.22/0.78 [6]~E(x61,x62)+E(f21(x61),f21(x62))
% 0.22/0.78 [7]~E(x71,x72)+E(f16(x71),f16(x72))
% 0.22/0.78 [8]~E(x81,x82)+E(f19(x81,x83),f19(x82,x83))
% 0.22/0.78 [9]~E(x91,x92)+E(f19(x93,x91),f19(x93,x92))
% 0.22/0.78 [10]~E(x101,x102)+E(f12(x101,x103,x104,x105),f12(x102,x103,x104,x105))
% 0.22/0.78 [11]~E(x111,x112)+E(f12(x113,x111,x114,x115),f12(x113,x112,x114,x115))
% 0.22/0.78 [12]~E(x121,x122)+E(f12(x123,x124,x121,x125),f12(x123,x124,x122,x125))
% 0.22/0.78 [13]~E(x131,x132)+E(f12(x133,x134,x135,x131),f12(x133,x134,x135,x132))
% 0.22/0.78 [14]~E(x141,x142)+E(f17(x141),f17(x142))
% 0.22/0.78 [15]~E(x151,x152)+E(f10(x151,x153,x154),f10(x152,x153,x154))
% 0.22/0.78 [16]~E(x161,x162)+E(f10(x163,x161,x164),f10(x163,x162,x164))
% 0.22/0.78 [17]~E(x171,x172)+E(f10(x173,x174,x171),f10(x173,x174,x172))
% 0.22/0.78 [18]~E(x181,x182)+E(f9(x181,x183,x184),f9(x182,x183,x184))
% 0.22/0.78 [19]~E(x191,x192)+E(f9(x193,x191,x194),f9(x193,x192,x194))
% 0.22/0.78 [20]~E(x201,x202)+E(f9(x203,x204,x201),f9(x203,x204,x202))
% 0.22/0.78 [21]~E(x211,x212)+E(f8(x211,x213,x214),f8(x212,x213,x214))
% 0.22/0.78 [22]~E(x221,x222)+E(f8(x223,x221,x224),f8(x223,x222,x224))
% 0.22/0.78 [23]~E(x231,x232)+E(f8(x233,x234,x231),f8(x233,x234,x232))
% 0.22/0.78 [24]~E(x241,x242)+E(f23(x241,x243),f23(x242,x243))
% 0.22/0.78 [25]~E(x251,x252)+E(f23(x253,x251),f23(x253,x252))
% 0.22/0.78 [26]~E(x261,x262)+E(f13(x261),f13(x262))
% 0.22/0.78 [27]~E(x271,x272)+E(f6(x271,x273),f6(x272,x273))
% 0.22/0.78 [28]~E(x281,x282)+E(f6(x283,x281),f6(x283,x282))
% 0.22/0.78 [29]~E(x291,x292)+E(f7(x291),f7(x292))
% 0.22/0.78 [30]~E(x301,x302)+E(f11(x301,x303,x304),f11(x302,x303,x304))
% 0.22/0.78 [31]~E(x311,x312)+E(f11(x313,x311,x314),f11(x313,x312,x314))
% 0.22/0.78 [32]~E(x321,x322)+E(f11(x323,x324,x321),f11(x323,x324,x322))
% 0.22/0.78 [33]~P1(x331)+P1(x332)+~E(x331,x332)
% 0.22/0.78 [34]P2(x342,x343,x344)+~E(x341,x342)+~P2(x341,x343,x344)
% 0.22/0.78 [35]P2(x353,x352,x354)+~E(x351,x352)+~P2(x353,x351,x354)
% 0.22/0.78 [36]P2(x363,x364,x362)+~E(x361,x362)+~P2(x363,x364,x361)
% 0.22/0.78 [37]P3(x372,x373)+~E(x371,x372)+~P3(x371,x373)
% 0.22/0.78 [38]P3(x383,x382)+~E(x381,x382)+~P3(x383,x381)
% 0.22/0.78 [39]P7(x392,x393,x394)+~E(x391,x392)+~P7(x391,x393,x394)
% 0.22/0.78 [40]P7(x403,x402,x404)+~E(x401,x402)+~P7(x403,x401,x404)
% 0.22/0.78 [41]P7(x413,x414,x412)+~E(x411,x412)+~P7(x413,x414,x411)
% 0.22/0.78 [42]~P10(x421)+P10(x422)+~E(x421,x422)
% 0.22/0.78 [43]~P4(x431)+P4(x432)+~E(x431,x432)
% 0.22/0.78 [44]P11(x442,x443,x444)+~E(x441,x442)+~P11(x441,x443,x444)
% 0.22/0.78 [45]P11(x453,x452,x454)+~E(x451,x452)+~P11(x453,x451,x454)
% 0.22/0.78 [46]P11(x463,x464,x462)+~E(x461,x462)+~P11(x463,x464,x461)
% 0.22/0.78 [47]P6(x472,x473)+~E(x471,x472)+~P6(x471,x473)
% 0.22/0.78 [48]P6(x483,x482)+~E(x481,x482)+~P6(x483,x481)
% 0.22/0.78 [49]P8(x492,x493)+~E(x491,x492)+~P8(x491,x493)
% 0.22/0.78 [50]P8(x503,x502)+~E(x501,x502)+~P8(x503,x501)
% 0.22/0.78 [51]P5(x512,x513)+~E(x511,x512)+~P5(x511,x513)
% 0.22/0.78 [52]P5(x523,x522)+~E(x521,x522)+~P5(x523,x521)
% 0.22/0.78 [53]P9(x532,x533,x534)+~E(x531,x532)+~P9(x531,x533,x534)
% 0.22/0.78 [54]P9(x543,x542,x544)+~E(x541,x542)+~P9(x543,x541,x544)
% 0.22/0.78 [55]P9(x553,x554,x552)+~E(x551,x552)+~P9(x553,x554,x551)
% 0.22/0.78
% 0.22/0.78 %-------------------------------------------
% 0.22/0.78 cnf(158,plain,
% 0.22/0.78 (E(f14(x1581,f14(a20,a5)),f14(x1581,f14(a22,a5)))),
% 0.22/0.78 inference(scs_inference,[],[56,57,59,58,37,83,2,93,78,77,73,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 0.22/0.78 cnf(159,plain,
% 0.22/0.78 (E(f14(f14(a20,a5),x1591),f14(f14(a22,a5),x1591))),
% 0.22/0.78 inference(scs_inference,[],[56,57,59,58,37,83,2,93,78,77,73,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 0.22/0.78 cnf(160,plain,
% 0.22/0.78 (E(f19(f16(a5),a18),f14(a22,a5))),
% 0.22/0.78 inference(scs_inference,[],[56,57,59,58,37,83,2,93,78,77,73,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,87])).
% 0.22/0.78 cnf(166,plain,
% 0.22/0.78 (P4(f8(a1,a4,a5))),
% 0.22/0.78 inference(scs_inference,[],[56,57,59,58,37,83,2,93,78,77,73,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,87,82,98,97])).
% 0.22/0.78 cnf(169,plain,
% 0.22/0.78 (~E(f14(a22,a5),f19(f16(a5),a18))),
% 0.22/0.78 inference(scs_inference,[],[56,57,59,58,37,83,2,93,78,77,73,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,87,82,98,97,43,3])).
% 0.22/0.78 cnf(174,plain,
% 0.22/0.78 (~P6(f14(a20,a5),f14(a22,a5))),
% 0.22/0.78 inference(scs_inference,[],[56,57,59,58,37,83,2,93,78,77,73,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,87,82,98,97,43,3,100,99,63])).
% 0.22/0.78 cnf(218,plain,
% 0.22/0.78 (E(f14(f14(a22,a5),x2181),f14(f14(a20,a5),x2181))),
% 0.22/0.78 inference(scs_inference,[],[159,174,166,81,80,79,61,60,62,73,2])).
% 0.22/0.78 cnf(251,plain,
% 0.22/0.78 ($false),
% 0.22/0.78 inference(scs_inference,[],[218,158,169,160,3,2]),
% 0.22/0.78 ['proof']).
% 0.22/0.79 % SZS output end Proof
% 0.22/0.79 % Total time :0.100000s
%------------------------------------------------------------------------------