TSTP Solution File: GRA008+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRA008+2 : 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 : n006.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 3.03s 3.10s
% Output : CNFRefutation 3.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRA008+2 : TPTP v8.1.2. Bugfixed v3.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n006.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 03:27:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 3.03/3.09 %-------------------------------------------
% 3.03/3.09 % File :CSE---1.6
% 3.03/3.09 % Problem :theBenchmark
% 3.03/3.09 % Transform :cnf
% 3.03/3.09 % Format :tptp:raw
% 3.03/3.09 % Command :java -jar mcs_scs.jar %d %s
% 3.03/3.09
% 3.03/3.09 % Result :Theorem 2.460000s
% 3.03/3.09 % Output :CNFRefutation 2.460000s
% 3.03/3.09 %-------------------------------------------
% 3.03/3.09 %--------------------------------------------------------------------------
% 3.03/3.09 % File : GRA008+2 : TPTP v8.1.2. Bugfixed v3.2.0.
% 3.03/3.09 % Domain : Graph Theory
% 3.03/3.09 % Problem : Maximal shortest path length in terms of triangles
% 3.03/3.09 % Version : Augmented > Especial.
% 3.03/3.09 % English : In a complete graph with a shortest path P from V1 to V2 with
% 3.03/3.09 % edges E1 and E2, E1 preceding and sequential to E2, there is
% 3.03/3.09 % an edge E3 such that E1, E2, and E3 form a triangle.
% 3.03/3.09
% 3.03/3.09 % Refs :
% 3.03/3.09 % Source : [TPTP]
% 3.03/3.10 % Names :
% 3.03/3.10
% 3.03/3.10 % Status : Theorem
% 3.03/3.10 % Rating : 0.28 v7.5.0, 0.31 v7.4.0, 0.20 v7.3.0, 0.21 v7.2.0, 0.17 v7.1.0, 0.22 v7.0.0, 0.20 v6.4.0, 0.27 v6.3.0, 0.29 v6.2.0, 0.36 v6.1.0, 0.47 v6.0.0, 0.43 v5.5.0, 0.52 v5.4.0, 0.50 v5.3.0, 0.56 v5.2.0, 0.35 v5.1.0, 0.43 v5.0.0, 0.46 v4.1.0, 0.48 v4.0.1, 0.57 v4.0.0, 0.54 v3.7.0, 0.50 v3.5.0, 0.42 v3.4.0, 0.47 v3.3.0, 0.36 v3.2.0
% 3.03/3.10
% 3.03/3.10 % Syntax : Number of formulae : 19 ( 1 unt; 0 def)
% 3.03/3.10 % Number of atoms : 101 ( 26 equ)
% 3.03/3.10 % Maximal formula atoms : 9 ( 5 avg)
% 3.03/3.10 % Number of connectives : 88 ( 6 ~; 3 |; 51 &)
% 3.03/3.10 % ( 3 <=>; 20 =>; 2 <=; 3 <~>)
% 3.03/3.10 % Maximal formula depth : 13 ( 9 avg)
% 3.03/3.10 % Maximal term depth : 3 ( 1 avg)
% 3.03/3.10 % Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% 3.03/3.10 % Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% 3.03/3.10 % Number of variables : 77 ( 65 !; 12 ?)
% 3.03/3.10 % SPC : FOF_THM_RFO_SEQ
% 3.03/3.10
% 3.03/3.10 % Comments :
% 3.03/3.10 % Bugfixes : v3.2.0 - Bugfix to GRA001+0.ax
% 3.03/3.10 %--------------------------------------------------------------------------
% 3.03/3.10 %----Include axioms for directed graphs and paths
% 3.03/3.10 include('Axioms/GRA001+0.ax').
% 3.03/3.10 %--------------------------------------------------------------------------
% 3.03/3.10 fof(triangle_defn,axiom,
% 3.03/3.10 ! [E1,E2,E3] :
% 3.03/3.10 ( triangle(E1,E2,E3)
% 3.03/3.10 <=> ( edge(E1)
% 3.03/3.10 & edge(E2)
% 3.03/3.10 & edge(E3)
% 3.03/3.10 & sequential(E1,E2)
% 3.03/3.10 & sequential(E2,E3)
% 3.03/3.10 & sequential(E3,E1) ) ) ).
% 3.03/3.10
% 3.03/3.10 fof(length_defn,axiom,
% 3.03/3.10 ! [V1,V2,P] :
% 3.03/3.10 ( path(V1,V2,P)
% 3.03/3.10 => length_of(P) = number_of_in(edges,P) ) ).
% 3.03/3.10
% 3.03/3.10 fof(path_length_sequential_pairs,axiom,
% 3.03/3.10 ! [V1,V2,P] :
% 3.03/3.10 ( path(V1,V2,P)
% 3.03/3.10 => number_of_in(sequential_pairs,P) = minus(length_of(P),n1) ) ).
% 3.03/3.10
% 3.03/3.10 fof(sequential_pairs_and_triangles,axiom,
% 3.03/3.10 ! [P,V1,V2] :
% 3.03/3.10 ( ( path(V1,V2,P)
% 3.03/3.10 & ! [E1,E2] :
% 3.03/3.10 ( ( on_path(E1,P)
% 3.03/3.10 & on_path(E2,P)
% 3.03/3.10 & sequential(E1,E2) )
% 3.03/3.10 => ? [E3] : triangle(E1,E2,E3) ) )
% 3.03/3.10 => number_of_in(sequential_pairs,P) = number_of_in(triangles,P) ) ).
% 3.03/3.10
% 3.03/3.10 fof(graph_has_them_all,axiom,
% 3.03/3.10 ! [Things,InThese] : less_or_equal(number_of_in(Things,InThese),number_of_in(Things,graph)) ).
% 3.03/3.10
% 3.03/3.10 fof(back_edge,lemma,
% 3.03/3.10 ( complete
% 3.03/3.10 => ! [V1,V2,E1,E2,P] :
% 3.03/3.10 ( ( shortest_path(V1,V2,P)
% 3.03/3.10 & precedes(E1,E2,P) )
% 3.03/3.10 => ? [E3] :
% 3.03/3.10 ( edge(E3)
% 3.03/3.10 & tail_of(E3) = head_of(E2)
% 3.03/3.10 & head_of(E3) = tail_of(E1) ) ) ) ).
% 3.03/3.10
% 3.03/3.10 fof(sequential_is_triangle,conjecture,
% 3.03/3.10 ( complete
% 3.03/3.10 => ! [V1,V2,E1,E2,P] :
% 3.03/3.10 ( ( shortest_path(V1,V2,P)
% 3.03/3.10 & precedes(E1,E2,P)
% 3.03/3.10 & sequential(E1,E2) )
% 3.03/3.10 => ? [E3] : triangle(E1,E2,E3) ) ) ).
% 3.03/3.10
% 3.03/3.10 %--------------------------------------------------------------------------
% 3.03/3.10 %-------------------------------------------
% 3.03/3.10 % Proof found
% 3.03/3.10 % SZS status Theorem for theBenchmark
% 3.03/3.10 % SZS output start Proof
% 3.03/3.10 %ClaNum:125(EqnAxiom:59)
% 3.03/3.10 %VarNum:508(SingletonVarNum:206)
% 3.03/3.10 %MaxLitNum:7
% 3.03/3.10 %MaxfuncDepth:2
% 3.03/3.10 %SharedTerms:17
% 3.03/3.10 %goalClause: 60 61 62 63 65
% 3.03/3.10 %singleGoalClaCount:5
% 3.03/3.10 [60]P1(a500)
% 3.03/3.10 [61]P2(a1,a6)
% 3.03/3.10 [62]P3(a1,a6,a7)
% 3.03/3.10 [63]P9(a2,a5,a7)
% 3.03/3.10 [65]~P10(a1,a6,x651)
% 3.03/3.10 [64]P4(f8(x641,x642),f8(x641,a9))
% 3.03/3.10 [66]~P5(x661)+P11(f19(x661))
% 3.03/3.10 [67]~P5(x671)+P11(f23(x671))
% 3.03/3.10 [68]~P5(x681)+~E(f19(x681),f23(x681))
% 3.03/3.10 [69]~P2(x691,x692)+~E(x691,x692)
% 3.03/3.10 [70]P5(x701)+~P2(x702,x701)
% 3.03/3.10 [71]P5(x711)+~P2(x711,x712)
% 3.03/3.10 [72]~P2(x722,x721)+E(f23(x721),f19(x722))
% 3.03/3.10 [79]~E(x791,x792)+~P9(x791,x792,x793)
% 3.03/3.10 [80]P5(x801)+~P10(x802,x803,x801)
% 3.03/3.10 [81]P5(x811)+~P10(x812,x811,x813)
% 3.03/3.10 [82]P5(x821)+~P10(x821,x822,x823)
% 3.03/3.10 [83]P11(x831)+~P7(x832,x831,x833)
% 3.03/3.10 [84]P11(x841)+~P7(x841,x842,x843)
% 3.03/3.10 [85]P2(x851,x852)+~P10(x853,x851,x852)
% 3.03/3.10 [86]P2(x861,x862)+~P10(x862,x863,x861)
% 3.03/3.10 [87]P2(x871,x872)+~P10(x871,x872,x873)
% 3.03/3.10 [98]~P9(x981,x982,x983)+P7(x981,x982,x983)
% 3.03/3.10 [88]~P7(x882,x883,x881)+E(f8(a3,x881),f20(x881))
% 3.03/3.10 [102]~P7(x1021,x1022,x1023)+P5(f12(x1021,x1022,x1023))
% 3.03/3.10 [92]~P7(x922,x923,x921)+E(f22(f20(x921),a21),f8(a25,x921))
% 3.03/3.10 [103]~P7(x1031,x1032,x1033)+E(f23(f12(x1031,x1032,x1033)),x1031)
% 3.03/3.10 [95]~P7(x952,x953,x951)+P8(f11(x951),x951)+E(f8(a26,x951),f8(a25,x951))
% 3.03/3.10 [96]~P7(x962,x963,x961)+P8(f17(x961),x961)+E(f8(a26,x961),f8(a25,x961))
% 3.03/3.10 [97]~P7(x972,x973,x971)+P2(f11(x971),f17(x971))+E(f8(a26,x971),f8(a25,x971))
% 3.03/3.10 [115]~P7(x1151,x1152,x1153)+E(f24(f12(x1151,x1152,x1153),f15(x1151,x1152,x1153)),x1153)+E(f19(f12(x1151,x1152,x1153)),x1152)
% 3.03/3.10 [116]~P7(x1161,x1162,x1163)+E(f24(f12(x1161,x1162,x1163),f15(x1161,x1162,x1163)),x1163)+E(f24(f12(x1161,x1162,x1163),a4),x1163)
% 3.03/3.10 [118]~P7(x1181,x1182,x1183)+P7(f19(f12(x1181,x1182,x1183)),x1182,f15(x1181,x1182,x1183))+E(f19(f12(x1181,x1182,x1183)),x1182)
% 3.03/3.10 [119]~P7(x1191,x1192,x1193)+P7(f19(f12(x1191,x1192,x1193)),x1192,f15(x1191,x1192,x1193))+E(f24(f12(x1191,x1192,x1193),a4),x1193)
% 3.03/3.10 [89]P5(x891)+~P8(x891,x892)+~P7(x893,x894,x892)
% 3.03/3.10 [90]P11(x901)+~P6(x901,x902)+~P7(x903,x904,x902)
% 3.03/3.10 [93]~P8(x931,x932)+~P7(x933,x934,x932)+P6(f19(x931),x932)
% 3.03/3.10 [94]~P8(x941,x942)+~P7(x943,x944,x942)+P6(f23(x941),x942)
% 3.03/3.10 [105]~P9(x1053,x1054,x1051)+~P7(x1053,x1054,x1052)+P4(f20(x1051),f20(x1052))
% 3.03/3.10 [108]~P7(x1082,x1083,x1081)+~P10(f11(x1081),f17(x1081),x1084)+E(f8(a26,x1081),f8(a25,x1081))
% 3.03/3.10 [120]~P6(x1204,x1203)+~P7(x1201,x1202,x1203)+P8(f16(x1201,x1202,x1203,x1204),x1203)
% 3.03/3.10 [100]P8(x1001,x1002)+~P7(x1003,x1004,x1002)+~P3(x1005,x1001,x1002)
% 3.03/3.10 [101]P8(x1011,x1012)+~P7(x1013,x1014,x1012)+~P3(x1011,x1015,x1012)
% 3.03/3.10 [109]~P3(x1092,x1091,x1093)+~P3(x1091,x1092,x1093)+~P9(x1094,x1095,x1093)
% 3.03/3.10 [112]~P7(x1121,x1122,x1123)+E(x1121,x1122)+P9(x1121,x1122,x1123)+P7(x1121,x1122,f13(x1121,x1122,x1123))
% 3.03/3.10 [117]~P7(x1171,x1172,x1173)+E(x1171,x1172)+P9(x1171,x1172,x1173)+~P4(f20(x1173),f20(f13(x1171,x1172,x1173)))
% 3.03/3.10 [125]~P6(x1254,x1253)+~P7(x1251,x1252,x1253)+E(f19(f16(x1251,x1252,x1253,x1254)),x1254)+E(f23(f16(x1251,x1252,x1253,x1254)),x1254)
% 3.03/3.10 [113]~P3(x1131,x1132,x1133)+P2(x1131,x1132)+~P7(x1134,x1135,x1133)+P2(x1131,f14(x1133,x1131,x1132))
% 3.03/3.10 [114]~P3(x1141,x1142,x1143)+P2(x1141,x1142)+~P7(x1144,x1145,x1143)+P3(f14(x1143,x1141,x1142),x1142,x1143)
% 3.03/3.10 [121]~P9(x1211,x1212,x1215)+~P3(x1213,x1214,x1215)+P5(f18(x1211,x1212,x1213,x1214))+~P1(a500)
% 3.03/3.10 [122]~P9(x1221,x1222,x1225)+~P3(x1223,x1224,x1225)+E(f19(f18(x1221,x1222,x1223,x1224)),f23(x1223))+~P1(a500)
% 3.03/3.10 [123]~P9(x1231,x1232,x1235)+~P3(x1233,x1234,x1235)+E(f23(f18(x1231,x1232,x1233,x1234)),f19(x1234))+~P1(a500)
% 3.03/3.10 [104]~P3(x1043,x1042,x1044)+~P9(x1045,x1046,x1044)+~E(f19(x1041),f19(x1042))+~E(f23(x1041),f23(x1043))
% 3.03/3.10 [73]P2(x731,x732)+~P5(x732)+~P5(x731)+E(x731,x732)+~E(f23(x732),f19(x731))
% 3.03/3.10 [74]~P11(x742)+~P11(x741)+E(x741,x742)+P5(f10(x741,x742))+~P1(a500)
% 3.03/3.10 [124]~P7(x1241,x1242,x1243)+~P7(f19(f12(x1241,x1242,x1243)),x1242,x1244)+~E(f19(f12(x1241,x1242,x1243)),x1242)+~E(f24(f12(x1241,x1242,x1243),x1244),x1243)+~E(f24(f12(x1241,x1242,x1243),a4),x1243)
% 3.03/3.10 [107]~P8(x1072,x1073)+~P8(x1071,x1073)+~P2(x1071,x1072)+P3(x1071,x1072,x1073)+~P7(x1074,x1075,x1073)
% 3.03/3.10 [111]~P3(x1112,x1113,x1116)+~P3(x1111,x1113,x1116)+~P2(x1111,x1112)+~P2(x1111,x1113)+~P7(x1114,x1115,x1116)
% 3.03/3.10 [75]~P11(x752)+~P11(x751)+E(x751,x752)+E(f19(f10(x752,x751)),x752)+E(f19(f10(x752,x751)),x751)+~P1(a500)
% 3.03/3.10 [76]~P11(x762)+~P11(x761)+E(x761,x762)+E(f23(f10(x761,x762)),x762)+E(f23(f10(x761,x762)),x761)+~P1(a500)
% 3.03/3.10 [77]~P11(x772)+~P11(x771)+E(x771,x772)+E(f19(f10(x772,x771)),x771)+E(f23(f10(x772,x771)),x771)+~P1(a500)
% 3.03/3.10 [78]~P11(x782)+~P11(x781)+E(x781,x782)+E(f19(f10(x781,x782)),x781)+E(f23(f10(x781,x782)),x781)+~P1(a500)
% 3.03/3.10 [110]~P8(x1102,x1103)+~P8(x1101,x1103)+~P3(x1104,x1102,x1103)+P3(x1101,x1102,x1103)+~P2(x1101,x1104)+~P7(x1105,x1106,x1103)
% 3.03/3.10 [99]~P5(x993)+~P5(x992)+~P5(x991)+~P2(x993,x991)+~P2(x992,x993)+~P2(x991,x992)+P10(x991,x992,x993)
% 3.03/3.10 [91]~P5(x914)+~P11(x911)+~P11(x912)+P7(x911,x912,x913)+~E(x912,f19(x914))+~E(x911,f23(x914))+~E(x913,f24(x914,a4))
% 3.03/3.10 [106]~P5(x1064)+~P11(x1061)+~P11(x1062)+P7(x1061,x1062,x1063)+~P7(f19(x1064),x1062,x1065)+~E(x1063,f24(x1064,x1065))+~E(x1061,f23(x1064))
% 3.03/3.10 %EqnAxiom
% 3.03/3.10 [1]E(x11,x11)
% 3.03/3.10 [2]E(x22,x21)+~E(x21,x22)
% 3.03/3.10 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 3.03/3.10 [4]~E(x41,x42)+E(f8(x41,x43),f8(x42,x43))
% 3.03/3.10 [5]~E(x51,x52)+E(f8(x53,x51),f8(x53,x52))
% 3.03/3.10 [6]~E(x61,x62)+E(f23(x61),f23(x62))
% 3.03/3.10 [7]~E(x71,x72)+E(f19(x71),f19(x72))
% 3.03/3.10 [8]~E(x81,x82)+E(f12(x81,x83,x84),f12(x82,x83,x84))
% 3.03/3.10 [9]~E(x91,x92)+E(f12(x93,x91,x94),f12(x93,x92,x94))
% 3.03/3.10 [10]~E(x101,x102)+E(f12(x103,x104,x101),f12(x103,x104,x102))
% 3.03/3.10 [11]~E(x111,x112)+E(f11(x111),f11(x112))
% 3.03/3.10 [12]~E(x121,x122)+E(f17(x121),f17(x122))
% 3.03/3.10 [13]~E(x131,x132)+E(f18(x131,x133,x134,x135),f18(x132,x133,x134,x135))
% 3.03/3.10 [14]~E(x141,x142)+E(f18(x143,x141,x144,x145),f18(x143,x142,x144,x145))
% 3.03/3.10 [15]~E(x151,x152)+E(f18(x153,x154,x151,x155),f18(x153,x154,x152,x155))
% 3.03/3.10 [16]~E(x161,x162)+E(f18(x163,x164,x165,x161),f18(x163,x164,x165,x162))
% 3.03/3.10 [17]~E(x171,x172)+E(f20(x171),f20(x172))
% 3.03/3.10 [18]~E(x181,x182)+E(f13(x181,x183,x184),f13(x182,x183,x184))
% 3.03/3.10 [19]~E(x191,x192)+E(f13(x193,x191,x194),f13(x193,x192,x194))
% 3.03/3.10 [20]~E(x201,x202)+E(f13(x203,x204,x201),f13(x203,x204,x202))
% 3.03/3.10 [21]~E(x211,x212)+E(f24(x211,x213),f24(x212,x213))
% 3.03/3.10 [22]~E(x221,x222)+E(f24(x223,x221),f24(x223,x222))
% 3.03/3.10 [23]~E(x231,x232)+E(f10(x231,x233),f10(x232,x233))
% 3.03/3.10 [24]~E(x241,x242)+E(f10(x243,x241),f10(x243,x242))
% 3.03/3.10 [25]~E(x251,x252)+E(f14(x251,x253,x254),f14(x252,x253,x254))
% 3.03/3.10 [26]~E(x261,x262)+E(f14(x263,x261,x264),f14(x263,x262,x264))
% 3.03/3.10 [27]~E(x271,x272)+E(f14(x273,x274,x271),f14(x273,x274,x272))
% 3.03/3.10 [28]~E(x281,x282)+E(f15(x281,x283,x284),f15(x282,x283,x284))
% 3.03/3.10 [29]~E(x291,x292)+E(f15(x293,x291,x294),f15(x293,x292,x294))
% 3.03/3.10 [30]~E(x301,x302)+E(f15(x303,x304,x301),f15(x303,x304,x302))
% 3.03/3.10 [31]~E(x311,x312)+E(f16(x311,x313,x314,x315),f16(x312,x313,x314,x315))
% 3.03/3.10 [32]~E(x321,x322)+E(f16(x323,x321,x324,x325),f16(x323,x322,x324,x325))
% 3.03/3.10 [33]~E(x331,x332)+E(f16(x333,x334,x331,x335),f16(x333,x334,x332,x335))
% 3.03/3.10 [34]~E(x341,x342)+E(f16(x343,x344,x345,x341),f16(x343,x344,x345,x342))
% 3.03/3.10 [35]~E(x351,x352)+E(f22(x351,x353),f22(x352,x353))
% 3.03/3.10 [36]~E(x361,x362)+E(f22(x363,x361),f22(x363,x362))
% 3.03/3.10 [37]~P1(x371)+P1(x372)+~E(x371,x372)
% 3.03/3.10 [38]P2(x382,x383)+~E(x381,x382)+~P2(x381,x383)
% 3.03/3.10 [39]P2(x393,x392)+~E(x391,x392)+~P2(x393,x391)
% 3.03/3.10 [40]P3(x402,x403,x404)+~E(x401,x402)+~P3(x401,x403,x404)
% 3.03/3.10 [41]P3(x413,x412,x414)+~E(x411,x412)+~P3(x413,x411,x414)
% 3.03/3.10 [42]P3(x423,x424,x422)+~E(x421,x422)+~P3(x423,x424,x421)
% 3.03/3.10 [43]P9(x432,x433,x434)+~E(x431,x432)+~P9(x431,x433,x434)
% 3.03/3.10 [44]P9(x443,x442,x444)+~E(x441,x442)+~P9(x443,x441,x444)
% 3.03/3.10 [45]P9(x453,x454,x452)+~E(x451,x452)+~P9(x453,x454,x451)
% 3.03/3.10 [46]P4(x462,x463)+~E(x461,x462)+~P4(x461,x463)
% 3.03/3.10 [47]P4(x473,x472)+~E(x471,x472)+~P4(x473,x471)
% 3.03/3.10 [48]P10(x482,x483,x484)+~E(x481,x482)+~P10(x481,x483,x484)
% 3.03/3.10 [49]P10(x493,x492,x494)+~E(x491,x492)+~P10(x493,x491,x494)
% 3.03/3.10 [50]P10(x503,x504,x502)+~E(x501,x502)+~P10(x503,x504,x501)
% 3.03/3.10 [51]~P11(x511)+P11(x512)+~E(x511,x512)
% 3.03/3.10 [52]~P5(x521)+P5(x522)+~E(x521,x522)
% 3.03/3.10 [53]P7(x532,x533,x534)+~E(x531,x532)+~P7(x531,x533,x534)
% 3.03/3.10 [54]P7(x543,x542,x544)+~E(x541,x542)+~P7(x543,x541,x544)
% 3.03/3.10 [55]P7(x553,x554,x552)+~E(x551,x552)+~P7(x553,x554,x551)
% 3.03/3.10 [56]P6(x562,x563)+~E(x561,x562)+~P6(x561,x563)
% 3.03/3.10 [57]P6(x573,x572)+~E(x571,x572)+~P6(x573,x571)
% 3.03/3.10 [58]P8(x582,x583)+~E(x581,x582)+~P8(x581,x583)
% 3.03/3.10 [59]P8(x593,x592)+~E(x591,x592)+~P8(x593,x591)
% 3.03/3.10
% 3.03/3.10 %-------------------------------------------
% 3.03/3.10 cnf(127,plain,
% 3.03/3.10 (P7(a2,a5,a7)),
% 3.03/3.10 inference(scs_inference,[],[62,63,109,98])).
% 3.03/3.10 cnf(128,plain,
% 3.03/3.10 (P11(a2)),
% 3.03/3.10 inference(scs_inference,[],[62,63,109,98,84])).
% 3.03/3.10 cnf(130,plain,
% 3.03/3.10 (P11(a5)),
% 3.03/3.10 inference(scs_inference,[],[62,63,109,98,84,83])).
% 3.03/3.10 cnf(132,plain,
% 3.03/3.10 (~E(a2,a5)),
% 3.03/3.10 inference(scs_inference,[],[62,63,109,98,84,83,79])).
% 3.03/3.10 cnf(134,plain,
% 3.03/3.10 (P5(a1)),
% 3.03/3.10 inference(scs_inference,[],[61,62,63,109,98,84,83,79,71])).
% 3.03/3.10 cnf(136,plain,
% 3.03/3.10 (P5(a6)),
% 3.03/3.10 inference(scs_inference,[],[61,62,63,109,98,84,83,79,71,70])).
% 3.03/3.10 cnf(138,plain,
% 3.03/3.10 (~E(a1,a6)),
% 3.03/3.10 inference(scs_inference,[],[61,62,63,109,98,84,83,79,71,70,69])).
% 3.03/3.10 cnf(140,plain,
% 3.03/3.10 (P11(f23(a1))),
% 3.03/3.10 inference(scs_inference,[],[61,62,63,109,98,84,83,79,71,70,69,67])).
% 3.03/3.10 cnf(142,plain,
% 3.03/3.10 (P11(f19(a1))),
% 3.03/3.11 inference(scs_inference,[],[61,62,63,109,98,84,83,79,71,70,69,67,66])).
% 3.03/3.11 cnf(144,plain,
% 3.03/3.11 (E(f22(f20(a7),a21),f8(a25,a7))),
% 3.03/3.11 inference(scs_inference,[],[61,62,63,109,98,84,83,79,71,70,69,67,66,92])).
% 3.03/3.11 cnf(146,plain,
% 3.03/3.11 (E(f8(a3,a7),f20(a7))),
% 3.03/3.11 inference(scs_inference,[],[61,62,63,109,98,84,83,79,71,70,69,67,66,92,88])).
% 3.03/3.11 cnf(148,plain,
% 3.03/3.11 (E(f23(a6),f19(a1))),
% 3.03/3.11 inference(scs_inference,[],[61,62,63,109,98,84,83,79,71,70,69,67,66,92,88,72])).
% 3.03/3.11 cnf(150,plain,
% 3.03/3.11 (~E(f19(a1),f23(a1))),
% 3.03/3.11 inference(scs_inference,[],[61,62,63,109,98,84,83,79,71,70,69,67,66,92,88,72,68])).
% 3.03/3.11 cnf(152,plain,
% 3.03/3.11 (E(f23(f12(a2,a5,a7)),a2)),
% 3.03/3.11 inference(scs_inference,[],[61,62,63,109,98,84,83,79,71,70,69,67,66,92,88,72,68,103])).
% 3.03/3.11 cnf(154,plain,
% 3.03/3.11 (P5(f12(a2,a5,a7))),
% 3.03/3.11 inference(scs_inference,[],[61,62,63,109,98,84,83,79,71,70,69,67,66,92,88,72,68,103,102])).
% 3.03/3.11 cnf(159,plain,
% 3.03/3.11 (P8(a6,a7)),
% 3.03/3.11 inference(scs_inference,[],[61,62,63,109,98,84,83,79,71,70,69,67,66,92,88,72,68,103,102,52,101,100])).
% 3.03/3.11 cnf(163,plain,
% 3.03/3.11 (P6(f19(a1),a7)),
% 3.03/3.11 inference(scs_inference,[],[61,62,63,109,98,84,83,79,71,70,69,67,66,92,88,72,68,103,102,52,101,100,94,93])).
% 3.03/3.11 cnf(167,plain,
% 3.03/3.11 (P8(f16(a2,a5,a7,f23(a1)),a7)),
% 3.03/3.11 inference(scs_inference,[],[61,62,63,109,98,84,83,79,71,70,69,67,66,92,88,72,68,103,102,52,101,100,94,93,105,120])).
% 3.03/3.11 cnf(169,plain,
% 3.03/3.11 (P5(f18(a2,a5,a1,a6))),
% 3.03/3.11 inference(scs_inference,[],[60,61,62,63,109,98,84,83,79,71,70,69,67,66,92,88,72,68,103,102,52,101,100,94,93,105,120,121])).
% 3.03/3.11 cnf(171,plain,
% 3.03/3.11 (E(f23(f18(a2,a5,a1,a6)),f19(a6))),
% 3.03/3.11 inference(scs_inference,[],[60,61,62,63,109,98,84,83,79,71,70,69,67,66,92,88,72,68,103,102,52,101,100,94,93,105,120,121,123])).
% 3.03/3.11 cnf(173,plain,
% 3.03/3.11 (E(f19(f18(a2,a5,a1,a6)),f23(a1))),
% 3.03/3.11 inference(scs_inference,[],[60,61,62,63,109,98,84,83,79,71,70,69,67,66,92,88,72,68,103,102,52,101,100,94,93,105,120,121,123,122])).
% 3.03/3.11 cnf(175,plain,
% 3.03/3.11 (~P2(a1,a1)),
% 3.03/3.11 inference(scs_inference,[],[60,61,62,63,109,98,84,83,79,71,70,69,67,66,92,88,72,68,103,102,52,101,100,94,93,105,120,121,123,122,111])).
% 3.03/3.11 cnf(177,plain,
% 3.03/3.11 (~P2(a6,a1)),
% 3.03/3.11 inference(scs_inference,[],[60,61,62,63,109,98,84,83,79,71,70,69,67,66,92,88,72,68,103,102,52,101,100,94,93,105,120,121,123,122,111,107])).
% 3.03/3.11 cnf(179,plain,
% 3.03/3.11 (P5(f10(a2,a5))),
% 3.03/3.11 inference(scs_inference,[],[60,61,62,63,109,98,84,83,79,71,70,69,67,66,92,88,72,68,103,102,52,101,100,94,93,105,120,121,123,122,111,107,74])).
% 3.03/3.11 cnf(181,plain,
% 3.03/3.11 (E(f8(a25,a7),f22(f20(a7),a21))),
% 3.03/3.11 inference(scs_inference,[],[60,61,62,63,109,98,84,83,79,71,70,69,67,66,92,88,72,68,103,102,52,101,100,94,93,105,120,121,123,122,111,107,74,2])).
% 3.03/3.11 cnf(196,plain,
% 3.03/3.11 (E(x1961,x1962)+~P11(x1962)+~P11(x1961)+P5(f10(x1961,x1962))),
% 3.03/3.11 inference(scs_inference,[],[60,74])).
% 3.03/3.11 cnf(200,plain,
% 3.03/3.11 (E(x2001,x2002)+~P11(x2002)+~P11(x2001)+E(f23(f10(x2001,x2002)),x2001)+E(f19(f10(x2001,x2002)),x2001)),
% 3.03/3.11 inference(scs_inference,[],[60,78])).
% 3.03/3.11 cnf(206,plain,
% 3.03/3.11 (~P10(a1,x2061,a1)),
% 3.03/3.11 inference(scs_inference,[],[175,87,86])).
% 3.03/3.11 cnf(211,plain,
% 3.03/3.11 (E(f22(f8(a3,a7),x2111),f22(f20(a7),x2111))),
% 3.03/3.11 inference(scs_inference,[],[146,175,87,86,85,36,35])).
% 3.03/3.11 cnf(212,plain,
% 3.03/3.11 (E(f16(x2121,x2122,x2123,f8(a3,a7)),f16(x2121,x2122,x2123,f20(a7)))),
% 3.03/3.11 inference(scs_inference,[],[146,175,87,86,85,36,35,34])).
% 3.03/3.11 cnf(213,plain,
% 3.03/3.11 (E(f16(x2131,x2132,f8(a3,a7),x2133),f16(x2131,x2132,f20(a7),x2133))),
% 3.03/3.11 inference(scs_inference,[],[146,175,87,86,85,36,35,34,33])).
% 3.03/3.11 cnf(214,plain,
% 3.03/3.11 (E(f16(x2141,f8(a3,a7),x2142,x2143),f16(x2141,f20(a7),x2142,x2143))),
% 3.03/3.11 inference(scs_inference,[],[146,175,87,86,85,36,35,34,33,32])).
% 3.03/3.11 cnf(215,plain,
% 3.03/3.11 (E(f16(f8(a3,a7),x2151,x2152,x2153),f16(f20(a7),x2151,x2152,x2153))),
% 3.03/3.11 inference(scs_inference,[],[146,175,87,86,85,36,35,34,33,32,31])).
% 3.03/3.11 cnf(230,plain,
% 3.03/3.11 (E(f18(x2301,x2302,x2303,f8(a3,a7)),f18(x2301,x2302,x2303,f20(a7)))),
% 3.03/3.11 inference(scs_inference,[],[146,175,87,86,85,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16])).
% 3.03/3.11 cnf(231,plain,
% 3.03/3.11 (E(f18(x2311,x2312,f8(a3,a7),x2313),f18(x2311,x2312,f20(a7),x2313))),
% 3.03/3.11 inference(scs_inference,[],[146,175,87,86,85,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15])).
% 3.03/3.11 cnf(232,plain,
% 3.03/3.11 (E(f18(x2321,f8(a3,a7),x2322,x2323),f18(x2321,f20(a7),x2322,x2323))),
% 3.03/3.11 inference(scs_inference,[],[146,175,87,86,85,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14])).
% 3.03/3.11 cnf(247,plain,
% 3.03/3.11 (~P2(f8(a25,a7),f22(f20(a7),a21))),
% 3.03/3.11 inference(scs_inference,[],[181,146,167,127,175,87,86,85,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,89,79,69])).
% 3.03/3.11 cnf(251,plain,
% 3.03/3.11 (~E(f19(a1),f19(f18(a2,a5,a1,a6)))),
% 3.03/3.11 inference(scs_inference,[],[64,61,181,146,173,150,167,127,175,87,86,85,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,89,79,69,47,39,3])).
% 3.03/3.11 cnf(252,plain,
% 3.03/3.11 (~E(f23(a1),f19(a1))),
% 3.03/3.11 inference(scs_inference,[],[64,61,181,146,173,150,167,127,175,87,86,85,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,89,79,69,47,39,3,2])).
% 3.03/3.11 cnf(258,plain,
% 3.03/3.11 (~E(f23(a1),f19(a6))),
% 3.03/3.11 inference(scs_inference,[],[64,61,63,181,146,173,140,142,150,167,127,134,136,175,177,87,86,85,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,89,79,69,47,39,3,2,51,196,104,73])).
% 3.03/3.11 cnf(260,plain,
% 3.03/3.11 (~P3(a6,a6,a7)),
% 3.03/3.11 inference(scs_inference,[],[64,61,63,62,181,146,173,140,142,150,167,127,134,136,175,177,87,86,85,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,89,79,69,47,39,3,2,51,196,104,73,111])).
% 3.03/3.11 cnf(262,plain,
% 3.03/3.11 (~P9(f22(f20(a7),a21),f22(f20(a7),a21),x2621)),
% 3.03/3.11 inference(scs_inference,[],[64,61,63,62,181,146,173,144,140,142,150,167,127,134,136,175,177,87,86,85,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,89,79,69,47,39,3,2,51,196,104,73,111,43])).
% 3.03/3.11 cnf(268,plain,
% 3.03/3.11 (~P3(f8(a3,a7),f20(a7),a7)),
% 3.03/3.11 inference(scs_inference,[],[64,61,63,62,181,146,173,144,140,142,150,167,127,134,136,159,175,177,87,86,85,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,89,79,69,47,39,3,2,51,196,104,73,111,43,41,38,107,44,40])).
% 3.03/3.11 cnf(283,plain,
% 3.03/3.11 (~E(a1,f18(a2,a5,a1,a6))),
% 3.03/3.11 inference(scs_inference,[],[251,7])).
% 3.03/3.11 cnf(284,plain,
% 3.03/3.11 (~E(f23(a1),f23(a6))),
% 3.03/3.11 inference(scs_inference,[],[251,252,148,7,3])).
% 3.03/3.11 cnf(285,plain,
% 3.03/3.11 (~P2(f8(a25,a7),f22(f8(a3,a7),a21))),
% 3.03/3.11 inference(scs_inference,[],[247,211,251,252,148,7,3,39])).
% 3.03/3.11 cnf(287,plain,
% 3.03/3.11 (E(f16(x2871,x2872,x2873,f20(a7)),f16(x2871,x2872,x2873,f8(a3,a7)))),
% 3.03/3.11 inference(scs_inference,[],[247,212,211,251,252,148,7,3,39,2])).
% 3.03/3.11 cnf(291,plain,
% 3.03/3.11 (P8(f16(a2,a5,a7,f19(a1)),a7)),
% 3.03/3.11 inference(scs_inference,[],[247,212,211,251,252,206,148,163,142,140,150,127,7,3,39,2,50,196,120])).
% 3.03/3.11 cnf(293,plain,
% 3.03/3.11 (~P2(f16(x2931,x2932,x2933,f8(a3,a7)),f16(x2931,x2932,x2933,f20(a7)))),
% 3.03/3.11 inference(scs_inference,[],[247,212,211,251,252,206,148,163,142,140,150,127,7,3,39,2,50,196,120,69])).
% 3.03/3.11 cnf(320,plain,
% 3.03/3.11 (~P9(f16(x3201,x3202,f8(a3,a7),x3203),f16(x3201,x3202,f20(a7),x3203),x3204)),
% 3.03/3.11 inference(scs_inference,[],[213,291,127,89,79])).
% 3.03/3.11 cnf(324,plain,
% 3.03/3.11 (E(f16(x3241,f8(a3,a7),f8(a3,a7),x3242),f16(x3241,f20(a7),f20(a7),x3242))),
% 3.03/3.11 inference(scs_inference,[],[213,214,291,148,127,89,79,6,7,3])).
% 3.03/3.11 cnf(325,plain,
% 3.03/3.11 (E(f16(x3251,x3252,f8(a3,a7),x3253),f16(x3251,x3252,f20(a7),x3253))),
% 3.03/3.11 inference(rename_variables,[],[213])).
% 3.03/3.11 cnf(327,plain,
% 3.03/3.11 (~P2(f16(x3271,x3272,f20(a7),f8(a3,a7)),f16(x3271,x3272,f8(a3,a7),f20(a7)))),
% 3.03/3.11 inference(scs_inference,[],[213,325,214,293,291,148,127,89,79,6,7,3,39])).
% 3.03/3.11 cnf(332,plain,
% 3.03/3.11 (~P3(f19(a1),f19(a1),a7)),
% 3.03/3.11 inference(scs_inference,[],[63,213,325,214,293,284,291,148,60,127,89,79,6,7,3,39,2,37,104])).
% 3.03/3.11 cnf(348,plain,
% 3.03/3.11 (E(f16(f8(a3,a7),x3481,x3482,f20(a7)),f16(f20(a7),x3481,x3482,f8(a3,a7)))),
% 3.03/3.11 inference(scs_inference,[],[215,287,3])).
% 3.03/3.11 cnf(349,plain,
% 3.03/3.11 (E(f16(f8(a3,a7),x3491,x3492,x3493),f16(f20(a7),x3491,x3492,x3493))),
% 3.03/3.11 inference(rename_variables,[],[215])).
% 3.03/3.11 cnf(351,plain,
% 3.03/3.11 (E(f16(f20(a7),x3511,x3512,x3513),f16(f8(a3,a7),x3511,x3512,x3513))),
% 3.03/3.11 inference(scs_inference,[],[215,349,287,3,2])).
% 3.03/3.11 cnf(356,plain,
% 3.03/3.11 (~E(f19(f10(a2,a5)),f23(f10(a2,a5)))),
% 3.03/3.11 inference(scs_inference,[],[215,349,287,179,3,2,67,66,68])).
% 3.03/3.11 cnf(376,plain,
% 3.03/3.11 (~E(f23(f10(a2,a5)),f19(f10(a2,a5)))),
% 3.03/3.11 inference(scs_inference,[],[356,171,258,3,2])).
% 3.03/3.11 cnf(419,plain,
% 3.03/3.11 (~P2(f16(f20(a7),x4191,x4192,x4193),f16(f8(a3,a7),x4191,x4192,x4193))),
% 3.03/3.11 inference(scs_inference,[],[351,69])).
% 3.03/3.11 cnf(422,plain,
% 3.03/3.11 (E(f16(f20(a7),x4221,x4222,x4223),f16(f8(a3,a7),x4221,x4222,x4223))),
% 3.03/3.11 inference(rename_variables,[],[351])).
% 3.03/3.11 cnf(423,plain,
% 3.03/3.11 (~P9(f16(x4231,x4232,f8(a3,a7),x4233),f16(x4231,x4232,f20(a7),x4233),x4234)),
% 3.03/3.11 inference(rename_variables,[],[320])).
% 3.03/3.11 cnf(427,plain,
% 3.03/3.11 (E(f16(f20(a7),x4271,x4272,f8(a3,a7)),f16(f8(a3,a7),x4271,x4272,f20(a7)))),
% 3.03/3.11 inference(scs_inference,[],[320,351,348,230,231,69,43,3,2])).
% 3.03/3.11 cnf(432,plain,
% 3.03/3.11 (E(f24(x4321,f23(a6)),f24(x4321,f19(a1)))),
% 3.03/3.11 inference(scs_inference,[],[320,351,348,230,231,148,69,43,3,2,36,25,24,23,22])).
% 3.03/3.11 cnf(434,plain,
% 3.03/3.11 (E(f13(x4341,f23(a6),x4342),f13(x4341,f19(a1),x4342))),
% 3.03/3.11 inference(scs_inference,[],[320,351,348,230,231,148,69,43,3,2,36,25,24,23,22,21,19])).
% 3.03/3.11 cnf(435,plain,
% 3.03/3.11 (E(f18(x4351,x4352,x4353,f23(a6)),f18(x4351,x4352,x4353,f19(a1)))),
% 3.03/3.11 inference(scs_inference,[],[320,351,348,230,231,148,69,43,3,2,36,25,24,23,22,21,19,16])).
% 3.03/3.11 cnf(436,plain,
% 3.03/3.11 (E(f18(x4361,x4362,f23(a6),x4363),f18(x4361,x4362,f19(a1),x4363))),
% 3.03/3.11 inference(scs_inference,[],[320,351,348,230,231,148,69,43,3,2,36,25,24,23,22,21,19,16,15])).
% 3.03/3.11 cnf(443,plain,
% 3.03/3.11 (E(f8(f23(a6),x4431),f8(f19(a1),x4431))),
% 3.03/3.11 inference(scs_inference,[],[320,351,348,230,231,148,69,43,3,2,36,25,24,23,22,21,19,16,15,14,12,11,10,9,5,4])).
% 3.03/3.11 cnf(445,plain,
% 3.03/3.11 (~P3(f19(a1),f23(a6),a7)),
% 3.03/3.11 inference(scs_inference,[],[332,320,351,422,348,230,231,148,69,43,3,2,36,25,24,23,22,21,19,16,15,14,12,11,10,9,5,4,47,41])).
% 3.03/3.11 cnf(446,plain,
% 3.03/3.11 (~P2(f16(f20(a7),x4461,f20(a7),f8(a3,a7)),f16(f8(a3,a7),x4461,f8(a3,a7),f20(a7)))),
% 3.03/3.11 inference(scs_inference,[],[332,320,327,351,422,348,230,231,148,69,43,3,2,36,25,24,23,22,21,19,16,15,14,12,11,10,9,5,4,47,41,38])).
% 3.03/3.11 cnf(447,plain,
% 3.03/3.11 (E(f16(f20(a7),x4471,x4472,x4473),f16(f8(a3,a7),x4471,x4472,x4473))),
% 3.03/3.11 inference(rename_variables,[],[351])).
% 3.03/3.11 cnf(449,plain,
% 3.03/3.11 (~P9(f16(f8(a3,a7),x4491,f8(a3,a7),x4492),f16(f20(a7),x4491,f20(a7),x4492),x4493)),
% 3.03/3.11 inference(scs_inference,[],[332,320,423,327,351,422,447,348,230,231,148,69,43,3,2,36,25,24,23,22,21,19,16,15,14,12,11,10,9,5,4,47,41,38,44])).
% 3.03/3.11 cnf(462,plain,
% 3.03/3.11 (P4(f8(x4621,x4622),f8(x4621,a9))),
% 3.03/3.11 inference(rename_variables,[],[64])).
% 3.03/3.11 cnf(463,plain,
% 3.03/3.11 (E(f8(f23(a6),x4631),f8(f19(a1),x4631))),
% 3.03/3.11 inference(rename_variables,[],[443])).
% 3.03/3.11 cnf(465,plain,
% 3.03/3.11 (E(f22(f8(a3,a7),x4651),f22(f20(a7),x4651))),
% 3.03/3.11 inference(rename_variables,[],[211])).
% 3.03/3.11 cnf(469,plain,
% 3.03/3.11 (E(f18(x4691,x4692,f23(a6),f23(a6)),f18(x4691,x4692,f19(a1),f19(a1)))),
% 3.03/3.11 inference(scs_inference,[],[64,462,262,435,436,443,463,211,47,43,46,3])).
% 3.03/3.11 cnf(472,plain,
% 3.03/3.11 (~E(f18(a2,a5,a1,a6),a1)),
% 3.03/3.11 inference(scs_inference,[],[64,462,262,283,435,436,443,463,211,47,43,46,3,2])).
% 3.03/3.11 cnf(485,plain,
% 3.03/3.11 (P6(f23(a6),a7)),
% 3.03/3.11 inference(scs_inference,[],[64,462,127,262,283,419,435,436,443,463,268,445,138,324,291,211,465,159,146,148,47,43,46,3,2,58,41,38,44,40,112,117,94])).
% 3.03/3.11 cnf(487,plain,
% 3.03/3.11 (P8(f16(a2,a5,a7,f23(a6)),a7)),
% 3.03/3.11 inference(scs_inference,[],[64,462,127,262,283,419,435,436,443,463,268,445,138,324,291,211,465,159,146,148,47,43,46,3,2,58,41,38,44,40,112,117,94,120])).
% 3.03/3.11 cnf(499,plain,
% 3.03/3.11 (E(f18(x4991,x4992,f19(a1),f19(a1)),f18(x4991,x4992,f23(a6),f23(a6)))),
% 3.03/3.11 inference(scs_inference,[],[127,469,487,485,90,89,2])).
% 3.03/3.11 cnf(506,plain,
% 3.03/3.11 (~E(f19(f12(a2,a5,a7)),f23(f12(a2,a5,a7)))),
% 3.03/3.11 inference(scs_inference,[],[127,449,469,487,485,427,154,90,89,2,52,43,67,68])).
% 3.03/3.11 cnf(508,plain,
% 3.03/3.11 (P6(f19(a6),a7)),
% 3.03/3.11 inference(scs_inference,[],[127,449,469,487,485,427,154,159,90,89,2,52,43,67,68,93])).
% 3.03/3.11 cnf(526,plain,
% 3.03/3.11 (~E(f23(f12(a2,a5,a7)),f19(f12(a2,a5,a7)))),
% 3.03/3.11 inference(scs_inference,[],[506,154,66,2])).
% 3.03/3.11 cnf(527,plain,
% 3.03/3.11 (P11(f19(a6))),
% 3.03/3.11 inference(scs_inference,[],[127,506,508,154,66,2,90])).
% 3.03/3.11 cnf(538,plain,
% 3.03/3.11 (~P2(f18(x5381,x5382,f19(a1),f19(a1)),f18(x5381,x5382,f19(a1),f19(a1)))+~E(f19(x5383),f19(a6))),
% 3.03/3.11 inference(scs_inference,[],[127,499,506,508,154,63,62,66,2,90,120,104,89,69,6,39])).
% 3.03/3.11 cnf(561,plain,
% 3.03/3.11 (~P2(f18(x5611,x5612,f19(a1),f19(a1)),f18(x5611,x5612,f19(a1),f19(a1)))),
% 3.03/3.11 inference(equality_inference,[],[538])).
% 3.03/3.11 cnf(564,plain,
% 3.03/3.11 (E(f16(x5641,x5642,x5643,f23(a6)),f16(x5641,x5642,x5643,f19(a1)))),
% 3.03/3.11 inference(scs_inference,[],[148,35,34])).
% 3.03/3.11 cnf(565,plain,
% 3.03/3.11 (E(f16(x5651,x5652,f23(a6),x5653),f16(x5651,x5652,f19(a1),x5653))),
% 3.03/3.11 inference(scs_inference,[],[148,35,34,33])).
% 3.03/3.11 cnf(566,plain,
% 3.03/3.11 (E(f16(x5661,f23(a6),x5662,x5663),f16(x5661,f19(a1),x5662,x5663))),
% 3.03/3.11 inference(scs_inference,[],[148,35,34,33,32])).
% 3.03/3.11 cnf(567,plain,
% 3.03/3.11 (E(f16(f23(a6),x5671,x5672,x5673),f16(f19(a1),x5671,x5672,x5673))),
% 3.03/3.11 inference(scs_inference,[],[148,35,34,33,32,31])).
% 3.03/3.11 cnf(568,plain,
% 3.03/3.11 (E(f13(x5681,x5682,f23(a6)),f13(x5681,x5682,f19(a1)))),
% 3.03/3.11 inference(scs_inference,[],[148,35,34,33,32,31,20])).
% 3.03/3.11 cnf(576,plain,
% 3.03/3.11 (E(f13(f23(a6),x5761,x5762),f13(f19(a1),x5761,x5762))),
% 3.03/3.11 inference(scs_inference,[],[148,35,34,33,32,31,20,17,13,30,29,28,27,26,18])).
% 3.03/3.11 cnf(602,plain,
% 3.03/3.11 (E(f16(x6021,x6022,f23(a6),f23(a6)),f16(x6021,x6022,f19(a1),f19(a1)))),
% 3.03/3.11 inference(scs_inference,[],[564,565,527,258,140,196,3])).
% 3.03/3.11 cnf(605,plain,
% 3.03/3.11 (~E(a5,a2)),
% 3.03/3.11 inference(scs_inference,[],[132,564,565,527,258,140,196,3,2])).
% 3.03/3.11 cnf(623,plain,
% 3.03/3.11 (E(f16(x6231,x6232,f19(a1),f19(a1)),f16(x6231,x6232,f23(a6),f23(a6)))),
% 3.03/3.11 inference(scs_inference,[],[602,526,152,3,2])).
% 3.03/3.11 cnf(626,plain,
% 3.03/3.11 (~E(f19(f18(a2,a5,a1,a6)),f23(f18(a2,a5,a1,a6)))),
% 3.03/3.11 inference(scs_inference,[],[602,526,152,169,3,2,67,68])).
% 3.03/3.11 cnf(628,plain,
% 3.03/3.11 (~P9(f16(x6281,x6282,f23(a6),f23(a6)),f16(x6281,x6282,f19(a1),f19(a1)),x6283)),
% 3.03/3.11 inference(scs_inference,[],[602,526,152,169,3,2,67,68,79])).
% 3.03/3.11 cnf(652,plain,
% 3.03/3.11 (E(f16(x6521,f23(a6),f19(a1),f19(a1)),f16(x6521,f19(a1),f23(a6),f23(a6)))),
% 3.03/3.11 inference(scs_inference,[],[623,566,3])).
% 3.03/3.11 cnf(655,plain,
% 3.03/3.11 (~E(f23(f18(a2,a5,a1,a6)),f19(f18(a2,a5,a1,a6)))),
% 3.03/3.11 inference(scs_inference,[],[626,623,566,3,2])).
% 3.03/3.11 cnf(656,plain,
% 3.03/3.11 (~P10(f16(f8(a3,a7),x6561,f8(a3,a7),f20(a7)),x6562,f16(f20(a7),x6561,f20(a7),f8(a3,a7)))),
% 3.03/3.11 inference(scs_inference,[],[626,446,623,566,3,2,86])).
% 3.03/3.11 cnf(658,plain,
% 3.03/3.11 (~P10(x6581,f16(f20(a7),x6582,f20(a7),f8(a3,a7)),f16(f8(a3,a7),x6582,f8(a3,a7),f20(a7)))),
% 3.03/3.11 inference(scs_inference,[],[626,446,623,566,3,2,86,85])).
% 3.03/3.11 cnf(660,plain,
% 3.03/3.11 (~P2(f10(a2,a5),f10(a2,a5))),
% 3.03/3.11 inference(scs_inference,[],[626,446,623,566,376,3,2,86,85,72])).
% 3.03/3.11 cnf(662,plain,
% 3.03/3.11 (P11(f19(f18(a2,a5,a1,a6)))),
% 3.03/3.11 inference(scs_inference,[],[626,446,623,566,376,169,3,2,86,85,72,66])).
% 3.03/3.11 cnf(693,plain,
% 3.03/3.11 (E(f16(x6931,f23(a6),x6932,x6933),f16(x6931,f19(a1),x6932,x6933))),
% 3.03/3.11 inference(rename_variables,[],[566])).
% 3.03/3.11 cnf(695,plain,
% 3.03/3.11 (~P10(f16(f8(a3,a7),x6951,f8(a3,a7),f20(a7)),x6952,f16(f20(a7),x6951,f20(a7),f8(a3,a7)))),
% 3.03/3.11 inference(rename_variables,[],[656])).
% 3.03/3.11 cnf(696,plain,
% 3.03/3.11 (E(f16(x6961,f23(a6),x6962,x6963),f16(x6961,f19(a1),x6962,x6963))),
% 3.03/3.11 inference(rename_variables,[],[566])).
% 3.03/3.11 cnf(697,plain,
% 3.03/3.11 (~P2(f16(x6971,f23(a6),f19(a1),f19(a1)),f16(x6971,f19(a1),f23(a6),f23(a6)))),
% 3.03/3.11 inference(scs_inference,[],[656,658,652,566,693,49,48,69])).
% 3.03/3.11 cnf(699,plain,
% 3.03/3.11 (E(f16(f23(a6),f23(a6),f19(a1),f19(a1)),f16(f19(a1),f19(a1),f23(a6),f23(a6)))),
% 3.03/3.11 inference(scs_inference,[],[656,658,652,567,566,693,49,48,69,3])).
% 3.03/3.11 cnf(700,plain,
% 3.03/3.11 (E(f16(x7001,f23(a6),f19(a1),f19(a1)),f16(x7001,f19(a1),f23(a6),f23(a6)))),
% 3.03/3.11 inference(rename_variables,[],[652])).
% 3.03/3.11 cnf(702,plain,
% 3.03/3.11 (E(f16(x7021,f19(a1),f23(a6),f23(a6)),f16(x7021,f23(a6),f19(a1),f19(a1)))),
% 3.03/3.11 inference(scs_inference,[],[656,658,652,700,567,566,693,49,48,69,3,2])).
% 3.03/3.11 cnf(705,plain,
% 3.03/3.11 (~P10(f16(f8(a3,a7),f19(a1),f8(a3,a7),f20(a7)),x7051,f16(f20(a7),f23(a6),f20(a7),f8(a3,a7)))),
% 3.03/3.11 inference(scs_inference,[],[127,660,656,695,658,652,700,567,566,693,696,49,48,69,3,2,114,50])).
% 3.03/3.11 cnf(725,plain,
% 3.03/3.11 (~E(f19(a6),f19(f18(a2,a5,a1,a6)))),
% 3.03/3.11 inference(scs_inference,[],[705,655,702,427,171,48,79,3])).
% 3.03/3.11 cnf(751,plain,
% 3.03/3.11 (E(f16(f19(a1),f19(a1),f23(a6),f23(a6)),f16(f23(a6),f23(a6),f19(a1),f19(a1)))),
% 3.03/3.11 inference(scs_inference,[],[699,564,3,2])).
% 3.03/3.11 cnf(754,plain,
% 3.03/3.11 (~E(f19(a6),f23(a6))),
% 3.03/3.11 inference(scs_inference,[],[136,699,660,564,127,3,2,113,68])).
% 3.03/3.11 cnf(778,plain,
% 3.03/3.11 (~E(f23(a6),f19(a6))),
% 3.03/3.11 inference(scs_inference,[],[754,2])).
% 3.03/3.11 cnf(779,plain,
% 3.03/3.11 (E(f16(f19(a1),f19(a1),f19(a1),f19(a1)),f16(f23(a6),f23(a6),f19(a1),f19(a1)))),
% 3.03/3.11 inference(scs_inference,[],[751,754,623,2,3])).
% 3.03/3.11 cnf(781,plain,
% 3.03/3.11 (~P10(f22(f8(a3,a7),a21),x7811,f8(a25,a7))),
% 3.03/3.11 inference(scs_inference,[],[751,754,285,623,2,3,86])).
% 3.03/3.11 cnf(785,plain,
% 3.03/3.11 (~P2(f18(a2,a5,a1,a6),f18(a2,a5,a1,a6))),
% 3.03/3.11 inference(scs_inference,[],[751,754,285,655,623,2,3,86,85,72])).
% 3.03/3.11 cnf(790,plain,
% 3.03/3.11 (~P10(f8(a25,a7),f22(f8(a3,a7),a21),x7901)),
% 3.03/3.11 inference(scs_inference,[],[128,134,751,662,754,285,655,623,432,173,2,3,86,85,72,106,87])).
% 3.03/3.11 cnf(814,plain,
% 3.03/3.11 (~E(f19(a1),f19(a6))),
% 3.03/3.11 inference(scs_inference,[],[778,148,3])).
% 3.03/3.11 cnf(815,plain,
% 3.03/3.11 (E(f16(f23(a6),f23(a6),f19(a1),f19(a1)),f16(f19(a1),f19(a1),f19(a1),f19(a1)))),
% 3.03/3.11 inference(scs_inference,[],[779,778,148,3,2])).
% 3.03/3.11 cnf(818,plain,
% 3.03/3.11 (~P2(f16(f19(a1),f19(a1),f19(a1),f19(a1)),f16(f23(a6),f23(a6),f19(a1),f19(a1)))),
% 3.03/3.11 inference(scs_inference,[],[785,779,778,127,148,3,2,114,69])).
% 3.03/3.11 cnf(824,plain,
% 3.03/3.11 (P5(f10(a5,a2))),
% 3.03/3.11 inference(scs_inference,[],[130,785,628,779,697,778,605,128,127,148,3,2,114,69,38,44,196])).
% 3.03/3.11 cnf(848,plain,
% 3.03/3.11 (E(f13(f23(a6),x8481,f23(a6)),f13(f19(a1),x8481,f19(a1)))),
% 3.03/3.11 inference(scs_inference,[],[824,781,814,725,568,576,527,144,142,67,196,50,7,3])).
% 3.03/3.11 cnf(854,plain,
% 3.03/3.11 (P2(a6,f18(a2,a5,a1,a6))),
% 3.03/3.11 inference(scs_inference,[],[130,136,824,781,814,725,568,576,527,144,142,605,171,169,128,67,196,50,7,3,2,200,73])).
% 3.03/3.11 cnf(856,plain,
% 3.03/3.11 (~P10(f22(f20(a7),a21),f22(f8(a3,a7),a21),x8561)),
% 3.03/3.11 inference(scs_inference,[],[130,136,824,781,790,814,725,568,576,527,144,142,605,171,169,128,67,196,50,7,3,2,200,73,48])).
% 3.03/3.11 cnf(859,plain,
% 3.03/3.11 (~P2(f16(f23(a6),f23(a6),f19(a1),f19(a1)),f16(f23(a6),f23(a6),f19(a1),f19(a1)))),
% 3.03/3.11 inference(scs_inference,[],[130,136,824,815,818,781,790,814,725,260,568,576,527,144,142,605,171,169,159,128,127,67,196,50,7,3,2,200,73,48,110,38])).
% 3.03/3.11 cnf(898,plain,
% 3.03/3.11 (E(f13(f23(a6),x8981,f23(a6)),f13(f19(a1),x8981,f19(a1)))),
% 3.03/3.11 inference(rename_variables,[],[848])).
% 3.03/3.11 cnf(900,plain,
% 3.03/3.11 (E(f13(f19(a1),x9001,f19(a1)),f13(f23(a6),x9001,f23(a6)))),
% 3.03/3.11 inference(scs_inference,[],[134,136,856,854,848,898,434,232,561,65,211,169,61,48,99,39,3,2])).
% 3.03/3.11 cnf(903,plain,
% 3.03/3.11 (~E(f23(a1),f19(f18(a2,a5,a1,a6)))),
% 3.03/3.11 inference(scs_inference,[],[134,136,856,854,848,898,434,232,561,472,65,211,169,61,127,48,99,39,3,2,116,73])).
% 3.03/3.11 cnf(935,plain,
% 3.03/3.11 ($false),
% 3.03/3.11 inference(scs_inference,[],[903,859,900,565,814,173,171,79,69,39,3,2]),
% 3.03/3.11 ['proof']).
% 3.03/3.11 % SZS output end Proof
% 3.03/3.11 % Total time :2.460000s
%------------------------------------------------------------------------------