TSTP Solution File: GRA003+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRA003+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 : n021.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 1.32s 1.53s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRA003+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 : n021.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 03:44:27 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 1.32/1.53 %-------------------------------------------
% 1.32/1.53 % File :CSE---1.6
% 1.32/1.53 % Problem :theBenchmark
% 1.32/1.53 % Transform :cnf
% 1.32/1.53 % Format :tptp:raw
% 1.32/1.53 % Command :java -jar mcs_scs.jar %d %s
% 1.32/1.53
% 1.32/1.53 % Result :Theorem 0.890000s
% 1.32/1.53 % Output :CNFRefutation 0.890000s
% 1.32/1.53 %-------------------------------------------
% 1.32/1.53 %--------------------------------------------------------------------------
% 1.32/1.53 % File : GRA003+1 : TPTP v8.1.2. Bugfixed v3.2.0.
% 1.32/1.53 % Domain : Graph Theory
% 1.32/1.53 % Problem : Parts of paths
% 1.32/1.53 % Version : Especial.
% 1.32/1.53 % English : In a shortest path P from V1 to V2 with edges E1 and E2, E1
% 1.32/1.53 % preceding E2, P is a path, V1 and V2 are vertices, and E1 and
% 1.32/1.53 % E2 are distinct edges.
% 1.32/1.53
% 1.32/1.53 % Refs :
% 1.32/1.53 % Source : [TPTP]
% 1.32/1.53 % Names :
% 1.32/1.53
% 1.32/1.53 % Status : Theorem
% 1.32/1.53 % Rating : 0.17 v7.5.0, 0.19 v7.4.0, 0.13 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.13 v7.0.0, 0.10 v6.4.0, 0.12 v6.2.0, 0.20 v6.1.0, 0.23 v6.0.0, 0.26 v5.5.0, 0.19 v5.4.0, 0.25 v5.3.0, 0.30 v5.2.0, 0.15 v5.1.0, 0.24 v5.0.0, 0.25 v4.1.0, 0.30 v4.0.1, 0.39 v4.0.0, 0.38 v3.7.0, 0.25 v3.5.0, 0.26 v3.4.0, 0.32 v3.3.0, 0.21 v3.2.0
% 1.32/1.53
% 1.32/1.53 % Syntax : Number of formulae : 18 ( 1 unt; 0 def)
% 1.32/1.53 % Number of atoms : 99 ( 26 equ)
% 1.32/1.53 % Maximal formula atoms : 9 ( 5 avg)
% 1.32/1.53 % Number of connectives : 89 ( 8 ~; 3 |; 53 &)
% 1.32/1.53 % ( 3 <=>; 17 =>; 2 <=; 3 <~>)
% 1.32/1.53 % Maximal formula depth : 14 ( 9 avg)
% 1.32/1.53 % Maximal term depth : 3 ( 1 avg)
% 1.32/1.53 % Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% 1.32/1.53 % Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% 1.32/1.53 % Number of variables : 70 ( 60 !; 10 ?)
% 1.32/1.53 % SPC : FOF_THM_RFO_SEQ
% 1.32/1.53
% 1.32/1.53 % Comments :
% 1.32/1.53 % Bugfixes : v3.2.0 - Bugfix to GRA001+0.ax
% 1.32/1.53 %--------------------------------------------------------------------------
% 1.32/1.53 %----Include axioms for directed graphs and paths
% 1.32/1.53 include('Axioms/GRA001+0.ax').
% 1.32/1.53 %--------------------------------------------------------------------------
% 1.32/1.53 fof(triangle_defn,axiom,
% 1.32/1.53 ! [E1,E2,E3] :
% 1.32/1.53 ( triangle(E1,E2,E3)
% 1.32/1.53 <=> ( edge(E1)
% 1.32/1.53 & edge(E2)
% 1.32/1.53 & edge(E3)
% 1.32/1.53 & sequential(E1,E2)
% 1.32/1.53 & sequential(E2,E3)
% 1.32/1.53 & sequential(E3,E1) ) ) ).
% 1.32/1.53
% 1.32/1.53 fof(length_defn,axiom,
% 1.32/1.53 ! [V1,V2,P] :
% 1.32/1.53 ( path(V1,V2,P)
% 1.32/1.53 => length_of(P) = number_of_in(edges,P) ) ).
% 1.32/1.53
% 1.32/1.53 fof(path_length_sequential_pairs,axiom,
% 1.32/1.53 ! [V1,V2,P] :
% 1.32/1.53 ( path(V1,V2,P)
% 1.32/1.53 => number_of_in(sequential_pairs,P) = minus(length_of(P),n1) ) ).
% 1.32/1.53
% 1.32/1.53 fof(sequential_pairs_and_triangles,axiom,
% 1.32/1.53 ! [P,V1,V2] :
% 1.32/1.53 ( ( path(V1,V2,P)
% 1.32/1.53 & ! [E1,E2] :
% 1.32/1.53 ( ( on_path(E1,P)
% 1.32/1.53 & on_path(E2,P)
% 1.32/1.53 & sequential(E1,E2) )
% 1.32/1.53 => ? [E3] : triangle(E1,E2,E3) ) )
% 1.32/1.53 => number_of_in(sequential_pairs,P) = number_of_in(triangles,P) ) ).
% 1.32/1.53
% 1.32/1.53 fof(graph_has_them_all,axiom,
% 1.32/1.53 ! [Things,InThese] : less_or_equal(number_of_in(Things,InThese),number_of_in(Things,graph)) ).
% 1.32/1.53
% 1.32/1.53 fof(vertices_and_edges,conjecture,
% 1.32/1.53 ! [V1,V2,E1,E2,P] :
% 1.32/1.53 ( ( shortest_path(V1,V2,P)
% 1.32/1.53 & precedes(E1,E2,P) )
% 1.32/1.53 => ( vertex(V1)
% 1.32/1.53 & vertex(V2)
% 1.32/1.53 & V1 != V2
% 1.32/1.53 & edge(E1)
% 1.32/1.53 & edge(E2)
% 1.32/1.53 & E1 != E2
% 1.32/1.53 & path(V1,V2,P) ) ) ).
% 1.32/1.53
% 1.32/1.53 %--------------------------------------------------------------------------
% 1.32/1.53 %-------------------------------------------
% 1.32/1.53 % Proof found
% 1.32/1.53 % SZS status Theorem for theBenchmark
% 1.32/1.53 % SZS output start Proof
% 1.32/1.54 %ClaNum:116(EqnAxiom:55)
% 1.32/1.54 %VarNum:475(SingletonVarNum:190)
% 1.32/1.54 %MaxLitNum:7
% 1.32/1.54 %MaxfuncDepth:2
% 1.32/1.54 %SharedTerms:22
% 1.32/1.54 %goalClause: 56 57 78
% 1.32/1.54 %singleGoalClaCount:2
% 1.32/1.54 [56]P1(a1,a5,a6)
% 1.32/1.54 [57]P8(a7,a2,a6)
% 1.32/1.54 [58]P2(f16(x581,x582),f16(x581,a17))
% 1.32/1.54 [59]~P3(x591)+P10(f18(x591))
% 1.32/1.54 [60]~P3(x601)+P10(f22(x601))
% 1.32/1.54 [61]~P3(x611)+~E(f18(x611),f22(x611))
% 1.32/1.54 [62]~P9(x621,x622)+~E(x621,x622)
% 1.32/1.54 [63]P3(x631)+~P9(x632,x631)
% 1.32/1.54 [64]P3(x641)+~P9(x641,x642)
% 1.32/1.54 [65]~P9(x652,x651)+E(f22(x651),f18(x652))
% 1.32/1.54 [72]~E(x721,x722)+~P8(x721,x722,x723)
% 1.32/1.54 [73]P3(x731)+~P11(x732,x733,x731)
% 1.32/1.54 [74]P3(x741)+~P11(x742,x741,x743)
% 1.32/1.54 [75]P3(x751)+~P11(x751,x752,x753)
% 1.32/1.54 [76]P10(x761)+~P6(x762,x761,x763)
% 1.32/1.54 [77]P10(x771)+~P6(x771,x772,x773)
% 1.32/1.54 [79]P9(x791,x792)+~P11(x793,x791,x792)
% 1.32/1.54 [80]P9(x801,x802)+~P11(x802,x803,x801)
% 1.32/1.54 [81]P9(x811,x812)+~P11(x811,x812,x813)
% 1.32/1.54 [92]~P8(x921,x922,x923)+P6(x921,x922,x923)
% 1.32/1.54 [82]~P6(x822,x823,x821)+E(f16(a3,x821),f19(x821))
% 1.32/1.54 [96]~P6(x961,x962,x963)+P3(f10(x961,x962,x963))
% 1.32/1.54 [86]~P6(x862,x863,x861)+E(f21(f19(x861),a20),f16(a24,x861))
% 1.32/1.54 [97]~P6(x971,x972,x973)+E(f22(f10(x971,x972,x973)),x971)
% 1.32/1.54 [89]~P6(x892,x893,x891)+P7(f9(x891),x891)+E(f16(a25,x891),f16(a24,x891))
% 1.32/1.54 [90]~P6(x902,x903,x901)+P7(f15(x901),x901)+E(f16(a25,x901),f16(a24,x901))
% 1.32/1.54 [91]~P6(x912,x913,x911)+P9(f9(x911),f15(x911))+E(f16(a25,x911),f16(a24,x911))
% 1.32/1.54 [109]~P6(x1091,x1092,x1093)+E(f23(f10(x1091,x1092,x1093),f13(x1091,x1092,x1093)),x1093)+E(f18(f10(x1091,x1092,x1093)),x1092)
% 1.32/1.54 [110]~P6(x1101,x1102,x1103)+E(f23(f10(x1101,x1102,x1103),f13(x1101,x1102,x1103)),x1103)+E(f23(f10(x1101,x1102,x1103),a4),x1103)
% 1.32/1.54 [112]~P6(x1121,x1122,x1123)+P6(f18(f10(x1121,x1122,x1123)),x1122,f13(x1121,x1122,x1123))+E(f18(f10(x1121,x1122,x1123)),x1122)
% 1.32/1.54 [113]~P6(x1131,x1132,x1133)+P6(f18(f10(x1131,x1132,x1133)),x1132,f13(x1131,x1132,x1133))+E(f23(f10(x1131,x1132,x1133),a4),x1133)
% 1.32/1.54 [83]P3(x831)+~P7(x831,x832)+~P6(x833,x834,x832)
% 1.32/1.54 [84]P10(x841)+~P5(x841,x842)+~P6(x843,x844,x842)
% 1.32/1.54 [87]~P7(x871,x872)+~P6(x873,x874,x872)+P5(f18(x871),x872)
% 1.32/1.54 [88]~P7(x881,x882)+~P6(x883,x884,x882)+P5(f22(x881),x882)
% 1.32/1.54 [99]~P8(x993,x994,x991)+~P6(x993,x994,x992)+P2(f19(x991),f19(x992))
% 1.32/1.54 [102]~P6(x1022,x1023,x1021)+~P11(f9(x1021),f15(x1021),x1024)+E(f16(a25,x1021),f16(a24,x1021))
% 1.32/1.54 [114]~P5(x1144,x1143)+~P6(x1141,x1142,x1143)+P7(f14(x1141,x1142,x1143,x1144),x1143)
% 1.32/1.54 [94]P7(x941,x942)+~P6(x943,x944,x942)+~P1(x945,x941,x942)
% 1.32/1.54 [95]P7(x951,x952)+~P6(x953,x954,x952)+~P1(x951,x955,x952)
% 1.32/1.54 [103]~P1(x1032,x1031,x1033)+~P1(x1031,x1032,x1033)+~P8(x1034,x1035,x1033)
% 1.32/1.54 [106]~P6(x1061,x1062,x1063)+E(x1061,x1062)+P8(x1061,x1062,x1063)+P6(x1061,x1062,f11(x1061,x1062,x1063))
% 1.32/1.54 [111]~P6(x1111,x1112,x1113)+E(x1111,x1112)+P8(x1111,x1112,x1113)+~P2(f19(x1113),f19(f11(x1111,x1112,x1113)))
% 1.32/1.54 [116]~P5(x1164,x1163)+~P6(x1161,x1162,x1163)+E(f18(f14(x1161,x1162,x1163,x1164)),x1164)+E(f22(f14(x1161,x1162,x1163,x1164)),x1164)
% 1.32/1.54 [107]~P1(x1071,x1072,x1073)+P9(x1071,x1072)+~P6(x1074,x1075,x1073)+P9(x1071,f12(x1073,x1071,x1072))
% 1.32/1.54 [108]~P1(x1081,x1082,x1083)+P9(x1081,x1082)+~P6(x1084,x1085,x1083)+P1(f12(x1083,x1081,x1082),x1082,x1083)
% 1.32/1.54 [98]~P1(x983,x982,x984)+~P8(x985,x986,x984)+~E(f18(x981),f18(x982))+~E(f22(x981),f22(x983))
% 1.32/1.54 [66]P9(x661,x662)+~P3(x662)+~P3(x661)+E(x661,x662)+~E(f22(x662),f18(x661))
% 1.32/1.54 [67]~P10(x672)+~P10(x671)+E(x671,x672)+P3(f8(x671,x672))+~P4(a500)
% 1.32/1.54 [115]~P6(x1151,x1152,x1153)+~P6(f18(f10(x1151,x1152,x1153)),x1152,x1154)+~E(f18(f10(x1151,x1152,x1153)),x1152)+~E(f23(f10(x1151,x1152,x1153),x1154),x1153)+~E(f23(f10(x1151,x1152,x1153),a4),x1153)
% 1.32/1.54 [101]~P7(x1012,x1013)+~P7(x1011,x1013)+~P9(x1011,x1012)+P1(x1011,x1012,x1013)+~P6(x1014,x1015,x1013)
% 1.32/1.54 [105]~P1(x1052,x1053,x1056)+~P1(x1051,x1053,x1056)+~P9(x1051,x1052)+~P9(x1051,x1053)+~P6(x1054,x1055,x1056)
% 1.32/1.54 [68]~P10(x682)+~P10(x681)+E(x681,x682)+E(f18(f8(x682,x681)),x682)+E(f18(f8(x682,x681)),x681)+~P4(a500)
% 1.32/1.54 [69]~P10(x692)+~P10(x691)+E(x691,x692)+E(f22(f8(x691,x692)),x692)+E(f22(f8(x691,x692)),x691)+~P4(a500)
% 1.32/1.54 [70]~P10(x702)+~P10(x701)+E(x701,x702)+E(f18(f8(x702,x701)),x701)+E(f22(f8(x702,x701)),x701)+~P4(a500)
% 1.32/1.54 [71]~P10(x712)+~P10(x711)+E(x711,x712)+E(f18(f8(x711,x712)),x711)+E(f22(f8(x711,x712)),x711)+~P4(a500)
% 1.32/1.54 [104]~P7(x1042,x1043)+~P7(x1041,x1043)+~P1(x1044,x1042,x1043)+P1(x1041,x1042,x1043)+~P9(x1041,x1044)+~P6(x1045,x1046,x1043)
% 1.32/1.54 [78]E(a2,a7)+E(a1,a5)+~P3(a1)+~P3(a5)+~P10(a7)+~P10(a2)+~P6(a7,a2,a6)
% 1.32/1.54 [93]~P3(x933)+~P3(x932)+~P3(x931)+~P9(x933,x931)+~P9(x932,x933)+~P9(x931,x932)+P11(x931,x932,x933)
% 1.32/1.54 [85]~P3(x854)+~P10(x851)+~P10(x852)+P6(x851,x852,x853)+~E(x852,f18(x854))+~E(x851,f22(x854))+~E(x853,f23(x854,a4))
% 1.32/1.54 [100]~P3(x1004)+~P10(x1001)+~P10(x1002)+P6(x1001,x1002,x1003)+~P6(f18(x1004),x1002,x1005)+~E(x1003,f23(x1004,x1005))+~E(x1001,f22(x1004))
% 1.32/1.54 %EqnAxiom
% 1.32/1.54 [1]E(x11,x11)
% 1.32/1.54 [2]E(x22,x21)+~E(x21,x22)
% 1.32/1.54 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.32/1.54 [4]~E(x41,x42)+E(f16(x41,x43),f16(x42,x43))
% 1.32/1.54 [5]~E(x51,x52)+E(f16(x53,x51),f16(x53,x52))
% 1.32/1.54 [6]~E(x61,x62)+E(f22(x61),f22(x62))
% 1.32/1.54 [7]~E(x71,x72)+E(f18(x71),f18(x72))
% 1.32/1.54 [8]~E(x81,x82)+E(f10(x81,x83,x84),f10(x82,x83,x84))
% 1.32/1.54 [9]~E(x91,x92)+E(f10(x93,x91,x94),f10(x93,x92,x94))
% 1.32/1.54 [10]~E(x101,x102)+E(f10(x103,x104,x101),f10(x103,x104,x102))
% 1.32/1.54 [11]~E(x111,x112)+E(f19(x111),f19(x112))
% 1.32/1.54 [12]~E(x121,x122)+E(f14(x121,x123,x124,x125),f14(x122,x123,x124,x125))
% 1.32/1.54 [13]~E(x131,x132)+E(f14(x133,x131,x134,x135),f14(x133,x132,x134,x135))
% 1.32/1.54 [14]~E(x141,x142)+E(f14(x143,x144,x141,x145),f14(x143,x144,x142,x145))
% 1.32/1.54 [15]~E(x151,x152)+E(f14(x153,x154,x155,x151),f14(x153,x154,x155,x152))
% 1.32/1.54 [16]~E(x161,x162)+E(f13(x161,x163,x164),f13(x162,x163,x164))
% 1.32/1.54 [17]~E(x171,x172)+E(f13(x173,x171,x174),f13(x173,x172,x174))
% 1.32/1.54 [18]~E(x181,x182)+E(f13(x183,x184,x181),f13(x183,x184,x182))
% 1.32/1.54 [19]~E(x191,x192)+E(f23(x191,x193),f23(x192,x193))
% 1.32/1.54 [20]~E(x201,x202)+E(f23(x203,x201),f23(x203,x202))
% 1.32/1.54 [21]~E(x211,x212)+E(f11(x211,x213,x214),f11(x212,x213,x214))
% 1.32/1.54 [22]~E(x221,x222)+E(f11(x223,x221,x224),f11(x223,x222,x224))
% 1.32/1.54 [23]~E(x231,x232)+E(f11(x233,x234,x231),f11(x233,x234,x232))
% 1.32/1.54 [24]~E(x241,x242)+E(f12(x241,x243,x244),f12(x242,x243,x244))
% 1.32/1.54 [25]~E(x251,x252)+E(f12(x253,x251,x254),f12(x253,x252,x254))
% 1.32/1.54 [26]~E(x261,x262)+E(f12(x263,x264,x261),f12(x263,x264,x262))
% 1.32/1.54 [27]~E(x271,x272)+E(f8(x271,x273),f8(x272,x273))
% 1.32/1.54 [28]~E(x281,x282)+E(f8(x283,x281),f8(x283,x282))
% 1.32/1.54 [29]~E(x291,x292)+E(f15(x291),f15(x292))
% 1.32/1.54 [30]~E(x301,x302)+E(f21(x301,x303),f21(x302,x303))
% 1.32/1.54 [31]~E(x311,x312)+E(f21(x313,x311),f21(x313,x312))
% 1.32/1.54 [32]~E(x321,x322)+E(f9(x321),f9(x322))
% 1.32/1.54 [33]P1(x332,x333,x334)+~E(x331,x332)+~P1(x331,x333,x334)
% 1.32/1.54 [34]P1(x343,x342,x344)+~E(x341,x342)+~P1(x343,x341,x344)
% 1.32/1.54 [35]P1(x353,x354,x352)+~E(x351,x352)+~P1(x353,x354,x351)
% 1.32/1.54 [36]P8(x362,x363,x364)+~E(x361,x362)+~P8(x361,x363,x364)
% 1.32/1.54 [37]P8(x373,x372,x374)+~E(x371,x372)+~P8(x373,x371,x374)
% 1.32/1.54 [38]P8(x383,x384,x382)+~E(x381,x382)+~P8(x383,x384,x381)
% 1.32/1.54 [39]P2(x392,x393)+~E(x391,x392)+~P2(x391,x393)
% 1.32/1.54 [40]P2(x403,x402)+~E(x401,x402)+~P2(x403,x401)
% 1.32/1.54 [41]~P10(x411)+P10(x412)+~E(x411,x412)
% 1.32/1.54 [42]~P3(x421)+P3(x422)+~E(x421,x422)
% 1.32/1.54 [43]P9(x432,x433)+~E(x431,x432)+~P9(x431,x433)
% 1.32/1.54 [44]P9(x443,x442)+~E(x441,x442)+~P9(x443,x441)
% 1.32/1.54 [45]P6(x452,x453,x454)+~E(x451,x452)+~P6(x451,x453,x454)
% 1.32/1.54 [46]P6(x463,x462,x464)+~E(x461,x462)+~P6(x463,x461,x464)
% 1.32/1.54 [47]P6(x473,x474,x472)+~E(x471,x472)+~P6(x473,x474,x471)
% 1.32/1.54 [48]P7(x482,x483)+~E(x481,x482)+~P7(x481,x483)
% 1.32/1.54 [49]P7(x493,x492)+~E(x491,x492)+~P7(x493,x491)
% 1.32/1.54 [50]P5(x502,x503)+~E(x501,x502)+~P5(x501,x503)
% 1.32/1.54 [51]P5(x513,x512)+~E(x511,x512)+~P5(x513,x511)
% 1.32/1.54 [52]P11(x522,x523,x524)+~E(x521,x522)+~P11(x521,x523,x524)
% 1.32/1.54 [53]P11(x533,x532,x534)+~E(x531,x532)+~P11(x533,x531,x534)
% 1.32/1.54 [54]P11(x543,x544,x542)+~E(x541,x542)+~P11(x543,x544,x541)
% 1.32/1.54 [55]~P4(x551)+P4(x552)+~E(x551,x552)
% 1.32/1.54
% 1.32/1.54 %-------------------------------------------
% 1.32/1.54 cnf(117,plain,
% 1.32/1.54 (~P1(a5,a1,a6)),
% 1.32/1.54 inference(scs_inference,[],[56,57,103])).
% 1.32/1.54 cnf(118,plain,
% 1.32/1.54 (P6(a7,a2,a6)),
% 1.32/1.54 inference(scs_inference,[],[56,57,103,92])).
% 1.32/1.54 cnf(119,plain,
% 1.32/1.54 (P10(a7)),
% 1.32/1.54 inference(scs_inference,[],[56,57,103,92,77])).
% 1.32/1.54 cnf(121,plain,
% 1.32/1.54 (P10(a2)),
% 1.32/1.54 inference(scs_inference,[],[56,57,103,92,77,76])).
% 1.32/1.54 cnf(123,plain,
% 1.32/1.54 (~E(a7,a2)),
% 1.32/1.54 inference(scs_inference,[],[56,57,103,92,77,76,72])).
% 1.32/1.54 cnf(125,plain,
% 1.32/1.54 (E(f21(f19(a6),a20),f16(a24,a6))),
% 1.32/1.54 inference(scs_inference,[],[56,57,103,92,77,76,72,86])).
% 1.32/1.54 cnf(127,plain,
% 1.32/1.54 (E(f16(a3,a6),f19(a6))),
% 1.32/1.54 inference(scs_inference,[],[56,57,103,92,77,76,72,86,82])).
% 1.32/1.54 cnf(129,plain,
% 1.32/1.54 (E(f22(f10(a7,a2,a6)),a7)),
% 1.32/1.54 inference(scs_inference,[],[56,57,103,92,77,76,72,86,82,97])).
% 1.32/1.54 cnf(131,plain,
% 1.32/1.54 (P3(f10(a7,a2,a6))),
% 1.32/1.54 inference(scs_inference,[],[56,57,103,92,77,76,72,86,82,97,96])).
% 1.32/1.54 cnf(134,plain,
% 1.32/1.54 (P7(a1,a6)),
% 1.32/1.54 inference(scs_inference,[],[56,57,103,92,77,76,72,86,82,97,96,42,95])).
% 1.32/1.54 cnf(136,plain,
% 1.32/1.54 (P7(a5,a6)),
% 1.32/1.54 inference(scs_inference,[],[56,57,103,92,77,76,72,86,82,97,96,42,95,94])).
% 1.32/1.54 cnf(138,plain,
% 1.32/1.54 (P3(a1)),
% 1.32/1.54 inference(scs_inference,[],[56,57,103,92,77,76,72,86,82,97,96,42,95,94,83])).
% 1.32/1.54 cnf(140,plain,
% 1.32/1.54 (P5(f22(a1),a6)),
% 1.32/1.54 inference(scs_inference,[],[56,57,103,92,77,76,72,86,82,97,96,42,95,94,83,88])).
% 1.32/1.54 cnf(142,plain,
% 1.32/1.54 (P5(f18(a1),a6)),
% 1.32/1.54 inference(scs_inference,[],[56,57,103,92,77,76,72,86,82,97,96,42,95,94,83,88,87])).
% 1.32/1.54 cnf(146,plain,
% 1.32/1.54 (P7(f14(a7,a2,a6,f22(a1)),a6)),
% 1.32/1.54 inference(scs_inference,[],[56,57,103,92,77,76,72,86,82,97,96,42,95,94,83,88,87,99,114])).
% 1.32/1.54 cnf(150,plain,
% 1.32/1.54 (E(f16(a24,a6),f21(f19(a6),a20))),
% 1.32/1.54 inference(scs_inference,[],[56,57,103,92,77,76,72,86,82,97,96,42,95,94,83,88,87,99,114,101,2])).
% 1.32/1.54 cnf(151,plain,
% 1.32/1.54 (~P9(f21(f19(a6),a20),f16(a24,a6))),
% 1.32/1.54 inference(scs_inference,[],[56,57,103,92,77,76,72,86,82,97,96,42,95,94,83,88,87,99,114,101,2,62])).
% 1.32/1.54 cnf(153,plain,
% 1.32/1.54 (~P11(x1531,x1532,f21(f19(a6),a20))+P11(x1531,x1532,f16(a24,a6))),
% 1.32/1.54 inference(scs_inference,[],[56,57,103,92,77,76,72,86,82,97,96,42,95,94,83,88,87,99,114,101,2,62,54])).
% 1.32/1.54 cnf(170,plain,
% 1.32/1.54 (E(a1,a5)+~P3(a5)+E(a2,a7)),
% 1.32/1.54 inference(scs_inference,[],[138,119,121,118,78])).
% 1.32/1.54 cnf(171,plain,
% 1.32/1.54 (~P11(f21(f19(a6),a20),f16(a24,a6),x1711)),
% 1.32/1.54 inference(scs_inference,[],[151,81])).
% 1.32/1.54 cnf(181,plain,
% 1.32/1.54 (E(f9(f16(a3,a6)),f9(f19(a6)))),
% 1.32/1.54 inference(scs_inference,[],[151,131,127,81,80,79,60,59,32])).
% 1.32/1.54 cnf(183,plain,
% 1.32/1.54 (E(f21(f16(a3,a6),x1831),f21(f19(a6),x1831))),
% 1.32/1.54 inference(scs_inference,[],[151,131,127,81,80,79,60,59,32,31,30])).
% 1.32/1.54 cnf(185,plain,
% 1.32/1.54 (E(f8(x1851,f16(a3,a6)),f8(x1851,f19(a6)))),
% 1.32/1.54 inference(scs_inference,[],[151,131,127,81,80,79,60,59,32,31,30,29,28])).
% 1.32/1.54 cnf(186,plain,
% 1.32/1.54 (E(f8(f16(a3,a6),x1861),f8(f19(a6),x1861))),
% 1.32/1.54 inference(scs_inference,[],[151,131,127,81,80,79,60,59,32,31,30,29,28,27])).
% 1.32/1.54 cnf(187,plain,
% 1.32/1.54 (E(f12(x1871,x1872,f16(a3,a6)),f12(x1871,x1872,f19(a6)))),
% 1.32/1.54 inference(scs_inference,[],[151,131,127,81,80,79,60,59,32,31,30,29,28,27,26])).
% 1.32/1.54 cnf(188,plain,
% 1.32/1.54 (E(f12(x1881,f16(a3,a6),x1882),f12(x1881,f19(a6),x1882))),
% 1.32/1.54 inference(scs_inference,[],[151,131,127,81,80,79,60,59,32,31,30,29,28,27,26,25])).
% 1.32/1.54 cnf(190,plain,
% 1.32/1.54 (E(f11(x1901,x1902,f16(a3,a6)),f11(x1901,x1902,f19(a6)))),
% 1.32/1.54 inference(scs_inference,[],[151,131,127,81,80,79,60,59,32,31,30,29,28,27,26,25,24,23])).
% 1.32/1.54 cnf(191,plain,
% 1.32/1.54 (E(f11(x1911,f16(a3,a6),x1912),f11(x1911,f19(a6),x1912))),
% 1.32/1.54 inference(scs_inference,[],[151,131,127,81,80,79,60,59,32,31,30,29,28,27,26,25,24,23,22])).
% 1.32/1.54 cnf(198,plain,
% 1.32/1.54 (E(f14(x1981,x1982,x1983,f16(a3,a6)),f14(x1981,x1982,x1983,f19(a6)))),
% 1.32/1.54 inference(scs_inference,[],[151,131,127,81,80,79,60,59,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15])).
% 1.32/1.54 cnf(199,plain,
% 1.32/1.54 (E(f14(x1991,x1992,f16(a3,a6),x1993),f14(x1991,x1992,f19(a6),x1993))),
% 1.32/1.54 inference(scs_inference,[],[151,131,127,81,80,79,60,59,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14])).
% 1.32/1.54 cnf(200,plain,
% 1.32/1.54 (E(f14(x2001,f16(a3,a6),x2002,x2003),f14(x2001,f19(a6),x2002,x2003))),
% 1.32/1.54 inference(scs_inference,[],[151,131,127,81,80,79,60,59,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13])).
% 1.32/1.54 cnf(201,plain,
% 1.32/1.54 (E(f14(f16(a3,a6),x2011,x2012,x2013),f14(f19(a6),x2011,x2012,x2013))),
% 1.32/1.54 inference(scs_inference,[],[151,131,127,81,80,79,60,59,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12])).
% 1.32/1.54 cnf(210,plain,
% 1.32/1.54 (~E(f18(f10(a7,a2,a6)),f22(f10(a7,a2,a6)))),
% 1.32/1.54 inference(scs_inference,[],[151,131,127,81,80,79,60,59,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,61])).
% 1.32/1.54 cnf(219,plain,
% 1.32/1.54 (~E(a2,a7)),
% 1.32/1.54 inference(scs_inference,[],[151,131,150,127,146,140,118,123,81,80,79,60,59,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,61,84,72,83,3,2])).
% 1.32/1.54 cnf(225,plain,
% 1.32/1.54 (~P11(f16(a24,a6),f16(a24,a6),x2251)),
% 1.32/1.54 inference(scs_inference,[],[58,57,151,131,150,127,125,146,140,118,119,123,81,80,79,60,59,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,61,84,72,83,3,2,40,41,98,53,52])).
% 1.32/1.54 cnf(226,plain,
% 1.32/1.54 (~P9(f21(f19(a6),a20),f21(f19(a6),a20))),
% 1.32/1.54 inference(scs_inference,[],[58,57,151,131,150,127,125,146,140,118,119,123,81,80,79,60,59,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,61,84,72,83,3,2,40,41,98,53,52,44])).
% 1.32/1.54 cnf(228,plain,
% 1.32/1.54 (~P1(f16(a3,a6),f19(a6),a6)),
% 1.32/1.54 inference(scs_inference,[],[58,57,151,131,150,127,125,146,140,118,119,123,81,80,79,60,59,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,61,84,72,83,3,2,40,41,98,53,52,44,34,33])).
% 1.32/1.54 cnf(230,plain,
% 1.32/1.54 (~P9(f16(a24,a6),f16(a24,a6))),
% 1.32/1.54 inference(scs_inference,[],[58,57,151,131,150,127,125,146,140,118,119,123,81,80,79,60,59,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,61,84,72,83,3,2,40,41,98,53,52,44,34,33,54,43])).
% 1.32/1.54 cnf(231,plain,
% 1.32/1.54 (~P8(f16(a24,a6),f16(a24,a6),x2311)),
% 1.32/1.54 inference(scs_inference,[],[58,57,151,131,150,127,125,146,140,118,119,123,81,80,79,60,59,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,61,84,72,83,3,2,40,41,98,53,52,44,34,33,54,43,37])).
% 1.32/1.55 cnf(234,plain,
% 1.32/1.55 (~P3(a5)+E(a1,a5)),
% 1.32/1.55 inference(scs_inference,[],[58,57,151,131,150,127,125,146,140,118,119,123,81,80,79,60,59,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,61,84,72,83,3,2,40,41,98,53,52,44,34,33,54,43,37,36,153,170])).
% 1.32/1.55 cnf(251,plain,
% 1.32/1.55 (P7(f14(a7,a2,a6,f18(a1)),a6)),
% 1.32/1.55 inference(scs_inference,[],[142,118,84,114])).
% 1.32/1.55 cnf(253,plain,
% 1.32/1.55 (~E(a2,f22(f10(a7,a2,a6)))),
% 1.32/1.55 inference(scs_inference,[],[129,142,219,118,84,114,3])).
% 1.32/1.55 cnf(254,plain,
% 1.32/1.55 (E(f14(x2541,x2542,x2543,f19(a6)),f14(x2541,x2542,x2543,f16(a3,a6)))),
% 1.32/1.55 inference(scs_inference,[],[198,129,142,219,118,84,114,3,2])).
% 1.32/1.55 cnf(267,plain,
% 1.32/1.55 (P5(f18(a5),a6)),
% 1.32/1.55 inference(scs_inference,[],[136,118,87])).
% 1.32/1.55 cnf(269,plain,
% 1.32/1.55 (P5(f22(a5),a6)),
% 1.32/1.55 inference(scs_inference,[],[136,118,87,88])).
% 1.32/1.55 cnf(271,plain,
% 1.32/1.55 (~P8(f14(x2711,x2712,f16(a3,a6),x2713),f14(x2711,x2712,f19(a6),x2713),x2714)),
% 1.32/1.55 inference(scs_inference,[],[199,136,118,87,88,72])).
% 1.32/1.55 cnf(273,plain,
% 1.32/1.55 (E(f14(x2731,f16(a3,a6),f16(a3,a6),x2732),f14(x2731,f19(a6),f19(a6),x2732))),
% 1.32/1.55 inference(scs_inference,[],[199,200,136,118,87,88,72,3])).
% 1.32/1.55 cnf(276,plain,
% 1.32/1.55 (~E(f22(f10(a7,a2,a6)),f18(f10(a7,a2,a6)))),
% 1.32/1.55 inference(scs_inference,[],[199,200,210,136,118,87,88,72,3,2])).
% 1.32/1.55 cnf(277,plain,
% 1.32/1.55 (~P9(f10(a7,a2,a6),f10(a7,a2,a6))),
% 1.32/1.55 inference(scs_inference,[],[199,200,210,136,118,87,88,72,3,2,65])).
% 1.32/1.55 cnf(291,plain,
% 1.32/1.55 (E(f14(f19(a6),x2911,x2912,x2913),f14(f16(a3,a6),x2911,x2912,x2913))),
% 1.32/1.55 inference(scs_inference,[],[201,2])).
% 1.32/1.55 cnf(305,plain,
% 1.32/1.55 (~P9(a5,x3051)+~P1(x3051,a1,a6)),
% 1.32/1.55 inference(scs_inference,[],[117,118,201,254,277,251,267,138,134,219,136,121,119,57,2,3,93,50,49,47,38,107,67,104])).
% 1.32/1.55 cnf(315,plain,
% 1.32/1.55 (~P9(f14(f19(a6),x3151,x3152,x3153),f14(f16(a3,a6),x3151,x3152,x3153))),
% 1.32/1.55 inference(scs_inference,[],[291,62])).
% 1.32/1.55 cnf(318,plain,
% 1.32/1.55 (~E(a7,f18(f10(a7,a2,a6)))),
% 1.32/1.55 inference(scs_inference,[],[291,276,253,129,62,2,3])).
% 1.32/1.55 cnf(321,plain,
% 1.32/1.55 (~E(x3211,a1)+~E(f18(x3211),f18(a5))),
% 1.32/1.55 inference(scs_inference,[],[291,276,253,129,56,57,62,2,3,98,6])).
% 1.32/1.55 cnf(343,plain,
% 1.32/1.55 (~P11(x3431,f14(f19(a6),x3432,x3433,x3434),f14(f16(a3,a6),x3432,x3433,x3434))),
% 1.32/1.55 inference(scs_inference,[],[315,81,79])).
% 1.32/1.55 cnf(346,plain,
% 1.32/1.55 (E(f12(x3461,f16(a3,a6),f16(a3,a6)),f12(x3461,f19(a6),f19(a6)))),
% 1.32/1.55 inference(scs_inference,[],[315,187,188,81,79,2,3])).
% 1.32/1.55 cnf(347,plain,
% 1.32/1.55 (E(f12(x3471,x3472,f16(a3,a6)),f12(x3471,x3472,f19(a6)))),
% 1.32/1.55 inference(rename_variables,[],[187])).
% 1.32/1.55 cnf(352,plain,
% 1.32/1.55 (~P11(f16(a24,a6),f21(f19(a6),a20),x3521)),
% 1.32/1.55 inference(scs_inference,[],[118,225,315,187,347,188,251,125,81,79,2,3,83,41,53])).
% 1.32/1.55 cnf(354,plain,
% 1.32/1.55 (E(f21(f16(a3,a6),x3541),f21(f19(a6),x3541))),
% 1.32/1.55 inference(rename_variables,[],[183])).
% 1.32/1.55 cnf(356,plain,
% 1.32/1.55 (E(f21(f16(a3,a6),x3561),f21(f19(a6),x3561))),
% 1.32/1.55 inference(rename_variables,[],[183])).
% 1.32/1.55 cnf(357,plain,
% 1.32/1.55 (~P9(f21(f16(a3,a6),a20),f21(f19(a6),a20))),
% 1.32/1.55 inference(scs_inference,[],[118,225,171,315,187,347,188,183,354,356,226,251,125,81,79,2,3,83,41,53,44,52,43])).
% 1.32/1.55 cnf(374,plain,
% 1.32/1.55 (P7(f14(a7,a2,a6,f22(a5)),a6)),
% 1.32/1.55 inference(scs_inference,[],[118,269,84,114])).
% 1.32/1.55 cnf(385,plain,
% 1.32/1.55 (E(f14(x3851,f16(a3,a6),f16(a3,a6),x3852),f14(x3851,f19(a6),f19(a6),x3852))),
% 1.32/1.55 inference(rename_variables,[],[273])).
% 1.32/1.55 cnf(386,plain,
% 1.32/1.55 (~P11(f16(a24,a6),f21(f16(a3,a6),a20),x3861)),
% 1.32/1.55 inference(scs_inference,[],[118,352,343,228,318,269,185,186,273,183,146,127,84,114,2,3,101,34,54,53])).
% 1.32/1.55 cnf(387,plain,
% 1.32/1.55 (E(f21(f16(a3,a6),x3871),f21(f19(a6),x3871))),
% 1.32/1.55 inference(rename_variables,[],[183])).
% 1.32/1.55 cnf(388,plain,
% 1.32/1.55 (~P9(f21(f16(a3,a6),a20),f21(f16(a3,a6),a20))),
% 1.32/1.55 inference(scs_inference,[],[118,352,343,357,228,318,269,185,186,273,183,387,146,127,84,114,2,3,101,34,54,53,44])).
% 1.32/1.55 cnf(390,plain,
% 1.32/1.55 (~P9(f14(f19(a6),f16(a3,a6),f16(a3,a6),x3901),f14(f16(a3,a6),f19(a6),f19(a6),x3901))),
% 1.32/1.55 inference(scs_inference,[],[118,352,343,357,228,318,269,185,186,273,385,183,387,315,146,127,84,114,2,3,101,34,54,53,44,43])).
% 1.32/1.55 cnf(410,plain,
% 1.32/1.55 (E(f12(x4101,f19(a6),f19(a6)),f12(x4101,f16(a3,a6),f16(a3,a6)))),
% 1.32/1.55 inference(scs_inference,[],[118,346,374,83,2])).
% 1.32/1.55 cnf(437,plain,
% 1.32/1.55 (~E(f22(a1),f18(a1))),
% 1.32/1.55 inference(scs_inference,[],[388,410,138,62,80,61,45,2])).
% 1.32/1.55 cnf(452,plain,
% 1.32/1.55 (~P9(a1,a1)),
% 1.32/1.55 inference(scs_inference,[],[437,65])).
% 1.32/1.55 cnf(475,plain,
% 1.32/1.55 (~P8(f14(x4751,x4752,f16(a3,a6),f19(a6)),f14(x4751,x4752,f19(a6),f16(a3,a6)),x4753)),
% 1.32/1.55 inference(scs_inference,[],[271,198,37])).
% 1.32/1.55 cnf(482,plain,
% 1.32/1.55 (P1(f12(a6,a1,a1),a1,a6)+~P3(a5)),
% 1.32/1.55 inference(scs_inference,[],[452,271,198,56,118,37,108,34,2,234])).
% 1.32/1.55 cnf(516,plain,
% 1.32/1.55 (~P8(f21(f19(a6),a20),f16(a24,a6),x5161)),
% 1.32/1.55 inference(scs_inference,[],[125,386,475,231,200,230,136,118,83,44,52,37,36])).
% 1.32/1.55 cnf(521,plain,
% 1.32/1.55 (E(a1,a5)),
% 1.32/1.55 inference(scs_inference,[],[125,386,475,181,190,191,231,200,230,136,118,83,44,52,37,36,3,2,234])).
% 1.32/1.55 cnf(522,plain,
% 1.32/1.55 (P7(f14(a7,a2,a6,f18(a5)),a6)),
% 1.32/1.55 inference(scs_inference,[],[125,386,475,181,190,191,231,200,230,267,136,118,83,44,52,37,36,3,2,234,114])).
% 1.32/1.55 cnf(526,plain,
% 1.32/1.55 (P1(a5,a5,a6)),
% 1.32/1.55 inference(scs_inference,[],[125,386,475,181,190,191,231,200,230,267,136,56,118,83,44,52,37,36,3,2,234,114,72,33])).
% 1.32/1.55 cnf(531,plain,
% 1.32/1.55 (~E(a5,a1)),
% 1.32/1.55 inference(scs_inference,[],[125,386,475,390,181,190,191,231,117,200,254,230,267,136,56,118,83,44,52,37,36,3,2,234,114,72,33,49,43,34])).
% 1.32/1.55 cnf(532,plain,
% 1.32/1.55 (P1(f12(a6,a1,a1),a1,a6)),
% 1.32/1.55 inference(scs_inference,[],[125,386,475,390,181,190,191,231,117,200,254,230,267,136,56,118,83,44,52,37,36,3,2,234,114,72,33,49,43,34,482])).
% 1.32/1.55 cnf(533,plain,
% 1.32/1.55 (~P9(a5,a5)),
% 1.32/1.55 inference(scs_inference,[],[125,386,475,390,181,190,191,231,117,200,254,230,267,136,56,118,83,44,52,37,36,3,2,234,114,72,33,49,43,34,482,105])).
% 1.32/1.55 cnf(547,plain,
% 1.32/1.55 (E(f18(a1),f18(a5))),
% 1.32/1.55 inference(scs_inference,[],[125,386,475,390,181,190,191,231,117,200,254,230,267,136,57,56,118,83,44,52,37,36,3,2,234,114,72,33,49,43,34,482,105,103,28,27,25,23,22,20,18,16,15,13,12,10,7])).
% 1.32/1.55 cnf(595,plain,
% 1.32/1.55 (E(f21(f16(a3,a6),x5951),f21(f19(a6),x5951))),
% 1.32/1.55 inference(rename_variables,[],[183])).
% 1.32/1.55 cnf(599,plain,
% 1.32/1.55 ($false),
% 1.32/1.55 inference(scs_inference,[],[125,532,516,526,531,533,547,522,521,117,183,595,57,118,321,305,95,87,103,108,83,33,36,34,3,2]),
% 1.32/1.55 ['proof']).
% 1.32/1.55 % SZS output end Proof
% 1.32/1.55 % Total time :0.890000s
%------------------------------------------------------------------------------