TSTP Solution File: SWB013+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWB013+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 20:01:12 EDT 2023
% Result : Theorem 0.96s 1.06s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB013+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.17/0.34 % Computer : n003.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Sun Aug 27 07:24:39 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.19/0.54 start to proof:theBenchmark
% 0.96/1.05 %-------------------------------------------
% 0.96/1.05 % File :CSE---1.6
% 0.96/1.05 % Problem :theBenchmark
% 0.96/1.05 % Transform :cnf
% 0.96/1.05 % Format :tptp:raw
% 0.96/1.05 % Command :java -jar mcs_scs.jar %d %s
% 0.96/1.05
% 0.96/1.05 % Result :Theorem 0.440000s
% 0.96/1.05 % Output :CNFRefutation 0.440000s
% 0.96/1.05 %-------------------------------------------
% 0.96/1.06 %------------------------------------------------------------------------------
% 0.96/1.06 % File : SWB013+2 : TPTP v8.1.2. Released v5.2.0.
% 0.96/1.06 % Domain : Semantic Web
% 0.96/1.06 % Problem : Cliques
% 0.96/1.06 % Version : [Sch11] axioms : Reduced > Incomplete.
% 0.96/1.06 % English :
% 0.96/1.06
% 0.96/1.06 % Refs : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% 0.96/1.06 % Source : [Sch11]
% 0.96/1.06 % Names : 013_Cliques [Sch11]
% 0.96/1.06
% 0.96/1.06 % Status : Theorem
% 0.96/1.06 % Rating : 0.28 v7.5.0, 0.31 v7.4.0, 0.27 v7.3.0, 0.17 v7.2.0, 0.21 v7.1.0, 0.22 v7.0.0, 0.23 v6.4.0, 0.27 v6.3.0, 0.21 v6.2.0, 0.32 v6.1.0, 0.40 v6.0.0, 0.48 v5.4.0, 0.50 v5.3.0, 0.52 v5.2.0
% 0.96/1.06 % Syntax : Number of formulae : 9 ( 1 unt; 0 def)
% 0.96/1.06 % Number of atoms : 59 ( 1 equ)
% 0.96/1.06 % Maximal formula atoms : 19 ( 6 avg)
% 0.96/1.06 % Number of connectives : 50 ( 0 ~; 0 |; 37 &)
% 0.96/1.06 % ( 8 <=>; 5 =>; 0 <=; 0 <~>)
% 0.96/1.06 % Maximal formula depth : 24 ( 10 avg)
% 0.96/1.06 % Maximal term depth : 1 ( 1 avg)
% 0.96/1.06 % Number of predicates : 5 ( 4 usr; 0 prp; 1-3 aty)
% 0.96/1.06 % Number of functors : 21 ( 21 usr; 21 con; 0-0 aty)
% 0.96/1.06 % Number of variables : 36 ( 30 !; 6 ?)
% 0.96/1.06 % SPC : FOF_THM_RFO_SEQ
% 0.96/1.06
% 0.96/1.06 % Comments :
% 0.96/1.06 %------------------------------------------------------------------------------
% 0.96/1.06 fof(rdfs_cext_def,axiom,
% 0.96/1.06 ! [X,C] :
% 0.96/1.06 ( iext(uri_rdf_type,X,C)
% 0.96/1.06 <=> icext(C,X) ) ).
% 0.96/1.06
% 0.96/1.06 fof(owl_restrict_somevaluesfrom,axiom,
% 0.96/1.06 ! [Z,P,C] :
% 0.96/1.06 ( ( iext(uri_owl_someValuesFrom,Z,C)
% 0.96/1.06 & iext(uri_owl_onProperty,Z,P) )
% 0.96/1.06 => ! [X] :
% 0.96/1.06 ( icext(Z,X)
% 0.96/1.06 <=> ? [Y] :
% 0.96/1.06 ( iext(P,X,Y)
% 0.96/1.06 & icext(C,Y) ) ) ) ).
% 0.96/1.06
% 0.96/1.06 fof(owl_rdfsext_subclassof,axiom,
% 0.96/1.06 ! [C1,C2] :
% 0.96/1.06 ( iext(uri_rdfs_subClassOf,C1,C2)
% 0.96/1.06 <=> ( ic(C1)
% 0.96/1.06 & ic(C2)
% 0.96/1.06 & ! [X] :
% 0.96/1.06 ( icext(C1,X)
% 0.96/1.06 => icext(C2,X) ) ) ) ).
% 0.96/1.06
% 0.96/1.06 fof(owl_rdfsext_subpropertyof,axiom,
% 0.96/1.06 ! [P1,P2] :
% 0.96/1.06 ( iext(uri_rdfs_subPropertyOf,P1,P2)
% 0.96/1.06 <=> ( ip(P1)
% 0.96/1.06 & ip(P2)
% 0.96/1.06 & ! [X,Y] :
% 0.96/1.06 ( iext(P1,X,Y)
% 0.96/1.06 => iext(P2,X,Y) ) ) ) ).
% 0.96/1.06
% 0.96/1.06 fof(owl_eqdis_sameas,axiom,
% 0.96/1.06 ! [X,Y] :
% 0.96/1.06 ( iext(uri_owl_sameAs,X,Y)
% 0.96/1.06 <=> X = Y ) ).
% 0.96/1.06
% 0.96/1.06 fof(owl_chain_003,axiom,
% 0.96/1.06 ! [P,S1,P1,S2,P2,S3,P3] :
% 0.96/1.06 ( ( iext(uri_rdf_first,S1,P1)
% 0.96/1.06 & iext(uri_rdf_rest,S1,S2)
% 0.96/1.06 & iext(uri_rdf_first,S2,P2)
% 0.96/1.06 & iext(uri_rdf_rest,S2,S3)
% 0.96/1.06 & iext(uri_rdf_first,S3,P3)
% 0.96/1.06 & iext(uri_rdf_rest,S3,uri_rdf_nil) )
% 0.96/1.06 => ( iext(uri_owl_propertyChainAxiom,P,S1)
% 0.96/1.06 <=> ( ip(P)
% 0.96/1.06 & ip(P1)
% 0.96/1.06 & ip(P2)
% 0.96/1.06 & ip(P3)
% 0.96/1.06 & ! [Y0,Y1,Y2,Y3] :
% 0.96/1.06 ( ( iext(P1,Y0,Y1)
% 0.96/1.06 & iext(P2,Y1,Y2)
% 0.96/1.06 & iext(P3,Y2,Y3) )
% 0.96/1.06 => iext(P,Y0,Y3) ) ) ) ) ).
% 0.96/1.06
% 0.96/1.06 fof(owl_inv,axiom,
% 0.96/1.06 ! [P1,P2] :
% 0.96/1.06 ( iext(uri_owl_inverseOf,P1,P2)
% 0.96/1.06 <=> ( ip(P1)
% 0.96/1.06 & ip(P2)
% 0.96/1.06 & ! [X,Y] :
% 0.96/1.06 ( iext(P1,X,Y)
% 0.96/1.06 <=> iext(P2,Y,X) ) ) ) ).
% 0.96/1.06
% 0.96/1.06 fof(testcase_conclusion_fullish_013_Cliques,conjecture,
% 0.96/1.06 iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob) ).
% 0.96/1.06
% 0.96/1.06 fof(testcase_premise_fullish_013_Cliques,axiom,
% 0.96/1.06 ? [BNODE_r,BNODE_i,BNODE_l1,BNODE_l2,BNODE_l3] :
% 0.96/1.06 ( iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class)
% 0.96/1.06 & iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)
% 0.96/1.06 & iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique)
% 0.96/1.06 & iext(uri_rdfs_subClassOf,uri_ex_Clique,BNODE_r)
% 0.96/1.06 & iext(uri_rdf_type,BNODE_r,uri_owl_Restriction)
% 0.96/1.06 & iext(uri_owl_onProperty,BNODE_r,uri_ex_sameCliqueAs)
% 0.96/1.06 & iext(uri_owl_someValuesFrom,BNODE_r,uri_ex_Clique)
% 0.96/1.06 & iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
% 0.96/1.06 & iext(uri_owl_propertyChainAxiom,uri_foaf_knows,BNODE_l1)
% 0.96/1.06 & iext(uri_rdf_first,BNODE_l1,uri_rdf_type)
% 0.96/1.06 & iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
% 0.96/1.06 & iext(uri_rdf_first,BNODE_l2,uri_ex_sameCliqueAs)
% 0.96/1.06 & iext(uri_rdf_rest,BNODE_l2,BNODE_l3)
% 0.96/1.06 & iext(uri_rdf_first,BNODE_l3,BNODE_i)
% 0.96/1.06 & iext(uri_rdf_rest,BNODE_l3,uri_rdf_nil)
% 0.96/1.06 & iext(uri_owl_inverseOf,BNODE_i,uri_rdf_type)
% 0.96/1.06 & iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique)
% 0.96/1.06 & iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)
% 0.96/1.06 & iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang) ) ).
% 0.96/1.06
% 0.96/1.06 %------------------------------------------------------------------------------
% 0.96/1.06 %-------------------------------------------
% 0.96/1.06 % Proof found
% 0.96/1.06 % SZS status Theorem for theBenchmark
% 0.96/1.06 % SZS output start Proof
% 0.96/1.07 %ClaNum:104(EqnAxiom:52)
% 0.96/1.07 %VarNum:367(SingletonVarNum:127)
% 0.96/1.07 %MaxLitNum:12
% 0.96/1.07 %MaxfuncDepth:1
% 0.96/1.07 %SharedTerms:46
% 0.96/1.07 %goalClause: 72
% 0.96/1.07 %singleGoalClaCount:1
% 0.96/1.07 [53]P1(a1,a2,a23)
% 0.96/1.07 [54]P1(a1,a3,a4)
% 0.96/1.07 [55]P1(a1,a21,a4)
% 0.96/1.07 [56]P1(a1,a5,a24)
% 0.96/1.07 [57]P1(a1,a4,a5)
% 0.96/1.07 [58]P1(a1,a6,a25)
% 0.96/1.07 [59]P1(a26,a6,a5)
% 0.96/1.07 [60]P1(a27,a6,a22)
% 0.96/1.07 [61]P1(a34,a5,a6)
% 0.96/1.07 [62]P1(a36,a22,a29)
% 0.96/1.07 [63]P1(a31,a8,a1)
% 0.96/1.07 [64]P1(a31,a10,a22)
% 0.96/1.07 [65]P1(a31,a11,a9)
% 0.96/1.07 [66]P1(a32,a8,a10)
% 0.96/1.07 [67]P1(a32,a10,a11)
% 0.96/1.07 [68]P1(a32,a11,a33)
% 0.96/1.07 [69]P1(a30,a2,a8)
% 0.96/1.07 [70]P1(a28,a9,a1)
% 0.96/1.07 [71]P1(a35,a22,a5)
% 0.96/1.07 [72]~P1(a2,a3,a21)
% 0.96/1.07 [73]~E(x731,x732)+P1(a29,x731,x732)
% 0.96/1.07 [74]~P2(x742,x741)+P1(a1,x741,x742)
% 0.96/1.07 [75]E(x751,x752)+~P1(a29,x751,x752)
% 0.96/1.07 [76]P3(x761)+~P1(a34,x762,x761)
% 0.96/1.07 [77]P3(x771)+~P1(a34,x771,x772)
% 0.96/1.07 [78]P4(x781)+~P1(a36,x782,x781)
% 0.96/1.07 [79]P4(x791)+~P1(a36,x791,x792)
% 0.96/1.07 [80]P4(x801)+~P1(a28,x802,x801)
% 0.96/1.07 [81]P4(x811)+~P1(a28,x811,x812)
% 0.96/1.07 [82]P2(x821,x822)+~P1(a1,x822,x821)
% 0.96/1.07 [84]P2(x841,x842)+~P2(x843,x842)+~P1(a34,x843,x841)
% 0.96/1.07 [87]P1(x871,x872,x873)+~P1(x874,x873,x872)+~P1(a28,x871,x874)
% 0.96/1.07 [88]P1(x881,x882,x883)+~P1(x884,x883,x882)+~P1(a28,x884,x881)
% 0.96/1.07 [89]P1(x891,x892,x893)+~P1(x894,x892,x893)+~P1(a36,x894,x891)
% 0.96/1.07 [83]~P3(x832)+~P3(x831)+P1(a34,x831,x832)+P2(x831,f12(x831,x832))
% 0.96/1.07 [85]~P3(x851)+~P3(x852)+P1(a34,x851,x852)+~P2(x852,f12(x851,x852))
% 0.96/1.07 [86]~P4(x862)+~P4(x861)+P1(x861,f14(x861,x862),f15(x861,x862))+P1(a36,x861,x862)
% 0.96/1.07 [90]~P4(x901)+~P4(x902)+~P1(x902,f14(x901,x902),f15(x901,x902))+P1(a36,x901,x902)
% 0.96/1.07 [98]~P2(x982,x984)+~P1(a26,x982,x981)+~P1(a27,x982,x983)+P2(x981,f13(x982,x983,x981,x984))
% 0.96/1.07 [99]~P2(x993,x992)+~P1(a26,x993,x994)+~P1(a27,x993,x991)+P1(x991,x992,f13(x993,x991,x994,x992))
% 0.96/1.07 [91]~P4(x912)+~P4(x911)+P1(x912,f7(x911,x912),f16(x911,x912))+P1(x911,f16(x911,x912),f7(x911,x912))+P1(a28,x911,x912)
% 0.96/1.07 [93]~P4(x932)+~P4(x931)+~P1(x932,f7(x931,x932),f16(x931,x932))+~P1(x931,f16(x931,x932),f7(x931,x932))+P1(a28,x931,x932)
% 0.96/1.07 [92]P2(x921,x922)+~P1(x925,x922,x924)+~P2(x923,x924)+~P1(a26,x921,x923)+~P1(a27,x921,x925)
% 0.96/1.07 [94]P4(x941)+~P1(a32,x943,x942)+~P1(a32,x945,x943)+~P1(a31,x942,x941)+~P1(a31,x943,x944)+~P1(a31,x945,x946)+~P1(a30,x947,x945)+~P1(a32,x942,a33)
% 0.96/1.07 [95]P4(x951)+~P1(a32,x954,x952)+~P1(a32,x955,x954)+~P1(a31,x952,x953)+~P1(a31,x954,x951)+~P1(a31,x955,x956)+~P1(a30,x957,x955)+~P1(a32,x952,a33)
% 0.96/1.07 [96]P4(x961)+~P1(a32,x964,x962)+~P1(a32,x966,x964)+~P1(a31,x962,x963)+~P1(a31,x964,x965)+~P1(a31,x966,x961)+~P1(a30,x967,x966)+~P1(a32,x962,a33)
% 0.96/1.07 [97]P4(x971)+~P1(a32,x974,x972)+~P1(a32,x976,x974)+~P1(a30,x971,x976)+~P1(a31,x972,x973)+~P1(a31,x974,x975)+~P1(a31,x976,x977)+~P1(a32,x972,a33)
% 0.96/1.07 [100]P1(x1001,x1002,x1003)+~P1(x1004,x1005,x1003)+~P1(x1006,x1007,x1005)+~P1(x1008,x1002,x1007)+~P1(a32,x10010,x1009)+~P1(a32,x10011,x10010)+~P1(a30,x1001,x10011)+~P1(a31,x1009,x1004)+~P1(a31,x10010,x1006)+~P1(a31,x10011,x1008)+~P1(a32,x1009,a33)
% 0.96/1.07 [101]~P4(x1017)+~P4(x1015)+~P4(x1011)+~P4(x1013)+~P1(a31,x1016,x1017)+~P1(a31,x1014,x1015)+~P1(a31,x1012,x1013)+~P1(a32,x1014,x1016)+~P1(a32,x1012,x1014)+P1(x1013,f17(x1011,x1012,x1013,x1014,x1015,x1016,x1017),f18(x1011,x1012,x1013,x1014,x1015,x1016,x1017))+P1(a30,x1011,x1012)+~P1(a32,x1016,a33)
% 0.96/1.07 [102]~P4(x1027)+~P4(x1024)+~P4(x1021)+~P4(x1023)+~P1(a31,x1026,x1027)+~P1(a31,x1025,x1023)+~P1(a31,x1022,x1024)+~P1(a32,x1025,x1026)+~P1(a32,x1022,x1025)+P1(x1023,f18(x1021,x1022,x1024,x1025,x1023,x1026,x1027),f19(x1021,x1022,x1024,x1025,x1023,x1026,x1027))+P1(a30,x1021,x1022)+~P1(a32,x1026,a33)
% 0.96/1.07 [103]~P4(x1036)+~P4(x1034)+~P4(x1031)+~P4(x1033)+~P1(a31,x1037,x1033)+~P1(a31,x1035,x1036)+~P1(a31,x1032,x1034)+~P1(a32,x1035,x1037)+~P1(a32,x1032,x1035)+P1(x1033,f19(x1031,x1032,x1034,x1035,x1036,x1037,x1033),f20(x1031,x1032,x1034,x1035,x1036,x1037,x1033))+P1(a30,x1031,x1032)+~P1(a32,x1037,a33)
% 0.96/1.07 [104]~P4(x1041)+~P4(x1043)+~P4(x1044)+~P4(x1045)+~P1(a31,x1042,x1045)+~P1(a32,x1047,x1046)+~P1(a32,x1042,x1047)+~P1(x1041,f17(x1041,x1042,x1045,x1047,x1044,x1046,x1043),f20(x1041,x1042,x1045,x1047,x1044,x1046,x1043))+P1(a30,x1041,x1042)+~P1(a31,x1046,x1043)+~P1(a31,x1047,x1044)+~P1(a32,x1046,a33)
% 0.96/1.07 %EqnAxiom
% 0.96/1.07 [1]E(x11,x11)
% 0.96/1.07 [2]E(x22,x21)+~E(x21,x22)
% 0.96/1.07 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.96/1.07 [4]~E(x41,x42)+E(f12(x41,x43),f12(x42,x43))
% 0.96/1.07 [5]~E(x51,x52)+E(f12(x53,x51),f12(x53,x52))
% 0.96/1.07 [6]~E(x61,x62)+E(f20(x61,x63,x64,x65,x66,x67,x68),f20(x62,x63,x64,x65,x66,x67,x68))
% 0.96/1.07 [7]~E(x71,x72)+E(f20(x73,x71,x74,x75,x76,x77,x78),f20(x73,x72,x74,x75,x76,x77,x78))
% 0.96/1.07 [8]~E(x81,x82)+E(f20(x83,x84,x81,x85,x86,x87,x88),f20(x83,x84,x82,x85,x86,x87,x88))
% 0.96/1.07 [9]~E(x91,x92)+E(f20(x93,x94,x95,x91,x96,x97,x98),f20(x93,x94,x95,x92,x96,x97,x98))
% 0.96/1.07 [10]~E(x101,x102)+E(f20(x103,x104,x105,x106,x101,x107,x108),f20(x103,x104,x105,x106,x102,x107,x108))
% 0.96/1.07 [11]~E(x111,x112)+E(f20(x113,x114,x115,x116,x117,x111,x118),f20(x113,x114,x115,x116,x117,x112,x118))
% 0.96/1.07 [12]~E(x121,x122)+E(f20(x123,x124,x125,x126,x127,x128,x121),f20(x123,x124,x125,x126,x127,x128,x122))
% 0.96/1.07 [13]~E(x131,x132)+E(f14(x131,x133),f14(x132,x133))
% 0.96/1.07 [14]~E(x141,x142)+E(f14(x143,x141),f14(x143,x142))
% 0.96/1.07 [15]~E(x151,x152)+E(f15(x151,x153),f15(x152,x153))
% 0.96/1.07 [16]~E(x161,x162)+E(f15(x163,x161),f15(x163,x162))
% 0.96/1.07 [17]~E(x171,x172)+E(f17(x171,x173,x174,x175,x176,x177,x178),f17(x172,x173,x174,x175,x176,x177,x178))
% 0.96/1.07 [18]~E(x181,x182)+E(f17(x183,x181,x184,x185,x186,x187,x188),f17(x183,x182,x184,x185,x186,x187,x188))
% 0.96/1.07 [19]~E(x191,x192)+E(f17(x193,x194,x191,x195,x196,x197,x198),f17(x193,x194,x192,x195,x196,x197,x198))
% 0.96/1.07 [20]~E(x201,x202)+E(f17(x203,x204,x205,x201,x206,x207,x208),f17(x203,x204,x205,x202,x206,x207,x208))
% 0.96/1.07 [21]~E(x211,x212)+E(f17(x213,x214,x215,x216,x211,x217,x218),f17(x213,x214,x215,x216,x212,x217,x218))
% 0.96/1.07 [22]~E(x221,x222)+E(f17(x223,x224,x225,x226,x227,x221,x228),f17(x223,x224,x225,x226,x227,x222,x228))
% 0.96/1.07 [23]~E(x231,x232)+E(f17(x233,x234,x235,x236,x237,x238,x231),f17(x233,x234,x235,x236,x237,x238,x232))
% 0.96/1.07 [24]~E(x241,x242)+E(f19(x241,x243,x244,x245,x246,x247,x248),f19(x242,x243,x244,x245,x246,x247,x248))
% 0.96/1.07 [25]~E(x251,x252)+E(f19(x253,x251,x254,x255,x256,x257,x258),f19(x253,x252,x254,x255,x256,x257,x258))
% 0.96/1.07 [26]~E(x261,x262)+E(f19(x263,x264,x261,x265,x266,x267,x268),f19(x263,x264,x262,x265,x266,x267,x268))
% 0.96/1.07 [27]~E(x271,x272)+E(f19(x273,x274,x275,x271,x276,x277,x278),f19(x273,x274,x275,x272,x276,x277,x278))
% 0.96/1.07 [28]~E(x281,x282)+E(f19(x283,x284,x285,x286,x281,x287,x288),f19(x283,x284,x285,x286,x282,x287,x288))
% 0.96/1.07 [29]~E(x291,x292)+E(f19(x293,x294,x295,x296,x297,x291,x298),f19(x293,x294,x295,x296,x297,x292,x298))
% 0.96/1.07 [30]~E(x301,x302)+E(f19(x303,x304,x305,x306,x307,x308,x301),f19(x303,x304,x305,x306,x307,x308,x302))
% 0.96/1.07 [31]~E(x311,x312)+E(f7(x311,x313),f7(x312,x313))
% 0.96/1.07 [32]~E(x321,x322)+E(f7(x323,x321),f7(x323,x322))
% 0.96/1.07 [33]~E(x331,x332)+E(f16(x331,x333),f16(x332,x333))
% 0.96/1.07 [34]~E(x341,x342)+E(f16(x343,x341),f16(x343,x342))
% 0.96/1.07 [35]~E(x351,x352)+E(f13(x351,x353,x354,x355),f13(x352,x353,x354,x355))
% 0.96/1.07 [36]~E(x361,x362)+E(f13(x363,x361,x364,x365),f13(x363,x362,x364,x365))
% 0.96/1.07 [37]~E(x371,x372)+E(f13(x373,x374,x371,x375),f13(x373,x374,x372,x375))
% 0.96/1.07 [38]~E(x381,x382)+E(f13(x383,x384,x385,x381),f13(x383,x384,x385,x382))
% 0.96/1.07 [39]~E(x391,x392)+E(f18(x391,x393,x394,x395,x396,x397,x398),f18(x392,x393,x394,x395,x396,x397,x398))
% 0.96/1.07 [40]~E(x401,x402)+E(f18(x403,x401,x404,x405,x406,x407,x408),f18(x403,x402,x404,x405,x406,x407,x408))
% 0.96/1.07 [41]~E(x411,x412)+E(f18(x413,x414,x411,x415,x416,x417,x418),f18(x413,x414,x412,x415,x416,x417,x418))
% 0.96/1.07 [42]~E(x421,x422)+E(f18(x423,x424,x425,x421,x426,x427,x428),f18(x423,x424,x425,x422,x426,x427,x428))
% 0.96/1.07 [43]~E(x431,x432)+E(f18(x433,x434,x435,x436,x431,x437,x438),f18(x433,x434,x435,x436,x432,x437,x438))
% 0.96/1.07 [44]~E(x441,x442)+E(f18(x443,x444,x445,x446,x447,x441,x448),f18(x443,x444,x445,x446,x447,x442,x448))
% 0.96/1.07 [45]~E(x451,x452)+E(f18(x453,x454,x455,x456,x457,x458,x451),f18(x453,x454,x455,x456,x457,x458,x452))
% 0.96/1.07 [46]P1(x462,x463,x464)+~E(x461,x462)+~P1(x461,x463,x464)
% 0.96/1.07 [47]P1(x473,x472,x474)+~E(x471,x472)+~P1(x473,x471,x474)
% 0.96/1.07 [48]P1(x483,x484,x482)+~E(x481,x482)+~P1(x483,x484,x481)
% 0.96/1.07 [49]~P4(x491)+P4(x492)+~E(x491,x492)
% 0.96/1.07 [50]P2(x502,x503)+~E(x501,x502)+~P2(x501,x503)
% 0.96/1.07 [51]P2(x513,x512)+~E(x511,x512)+~P2(x513,x511)
% 0.96/1.07 [52]~P3(x521)+P3(x522)+~E(x521,x522)
% 0.96/1.07
% 0.96/1.07 %-------------------------------------------
% 0.96/1.07 cnf(106,plain,
% 0.96/1.07 (P4(a9)),
% 0.96/1.07 inference(scs_inference,[],[53,70,82,81])).
% 0.96/1.07 cnf(113,plain,
% 0.96/1.07 (P3(a5)),
% 0.96/1.07 inference(scs_inference,[],[53,61,62,70,82,81,80,79,78,77])).
% 0.96/1.07 cnf(135,plain,
% 0.96/1.07 (P1(a9,a4,a3)),
% 0.96/1.07 inference(scs_inference,[],[54,70,106,49,87])).
% 0.96/1.07 cnf(137,plain,
% 0.96/1.07 (~P2(a6,x1371)+P1(a22,x1371,f13(a6,a22,a5,x1371))),
% 0.96/1.07 inference(scs_inference,[],[54,59,60,70,106,49,87,99])).
% 0.96/1.07 cnf(139,plain,
% 0.96/1.07 (~P2(a6,x1391)+P2(a5,f13(a6,a22,a5,x1391))),
% 0.96/1.07 inference(scs_inference,[],[54,59,60,70,106,49,87,99,98])).
% 0.96/1.07 cnf(163,plain,
% 0.96/1.07 (P1(a9,a4,a21)),
% 0.96/1.07 inference(scs_inference,[],[55,70,72,47,87])).
% 0.96/1.07 cnf(180,plain,
% 0.96/1.07 (~P1(a22,a4,a4)),
% 0.96/1.07 inference(scs_inference,[],[54,69,66,64,65,67,63,68,163,72,100])).
% 0.96/1.07 cnf(190,plain,
% 0.96/1.07 (P2(a4,a3)),
% 0.96/1.07 inference(scs_inference,[],[54,82])).
% 0.96/1.07 cnf(192,plain,
% 0.96/1.07 (P2(a6,x1921)+~P2(a5,x1921)),
% 0.96/1.07 inference(scs_inference,[],[54,61,82,84])).
% 0.96/1.07 cnf(200,plain,
% 0.96/1.07 (~P2(a5,x2001)+P1(a22,x2001,f13(a6,a22,a5,x2001))),
% 0.96/1.07 inference(scs_inference,[],[54,61,60,59,113,82,84,74,98,85,99])).
% 0.96/1.07 cnf(276,plain,
% 0.96/1.07 (P1(a9,a5,a4)),
% 0.96/1.07 inference(scs_inference,[],[57,70,87])).
% 0.96/1.07 cnf(351,plain,
% 0.96/1.07 (E(f12(x3511,x3512),f12(x3513,x3512))+~E(x3513,x3511)),
% 0.96/1.07 inference(scs_inference,[],[2,4])).
% 0.96/1.07 cnf(383,plain,
% 0.96/1.07 (P2(a5,a4)),
% 0.96/1.07 inference(scs_inference,[],[57,82])).
% 0.96/1.07 cnf(385,plain,
% 0.96/1.07 (P1(a29,x3851,x3852)+~P1(a22,x3851,x3852)),
% 0.96/1.07 inference(scs_inference,[],[62,57,82,89])).
% 0.96/1.07 cnf(401,plain,
% 0.96/1.07 (P1(a22,a4,f13(a6,a22,a5,a4))),
% 0.96/1.07 inference(scs_inference,[],[383,200])).
% 0.96/1.07 cnf(405,plain,
% 0.96/1.07 (P2(a5,f13(a6,a22,a5,a4))),
% 0.96/1.07 inference(scs_inference,[],[383,60,59,200,192,98])).
% 0.96/1.07 cnf(407,plain,
% 0.96/1.07 (P1(a1,a4,a6)),
% 0.96/1.07 inference(scs_inference,[],[383,60,59,200,192,98,74])).
% 0.96/1.07 cnf(428,plain,
% 0.96/1.07 (P2(a6,f13(a6,a22,a5,a4))),
% 0.96/1.07 inference(scs_inference,[],[405,61,84])).
% 0.96/1.07 cnf(436,plain,
% 0.96/1.07 (E(a4,f13(a6,a22,a5,a4))),
% 0.96/1.07 inference(scs_inference,[],[70,401,405,407,61,84,87,385,137,75])).
% 0.96/1.07 cnf(440,plain,
% 0.96/1.07 (P1(a9,f13(a6,a22,a5,a4),a3)),
% 0.96/1.07 inference(scs_inference,[],[135,70,401,405,407,276,383,61,59,84,87,385,137,75,92,47])).
% 0.96/1.07 cnf(442,plain,
% 0.96/1.07 (E(f18(x4421,x4422,x4423,x4424,x4425,x4426,a4),f18(x4421,x4422,x4423,x4424,x4425,x4426,f13(a6,a22,a5,a4)))),
% 0.96/1.07 inference(scs_inference,[],[135,70,401,405,407,276,383,61,59,84,87,385,137,75,92,47,48,45])).
% 0.96/1.07 cnf(443,plain,
% 0.96/1.07 (E(f18(x4431,x4432,x4433,x4434,x4435,a4,x4436),f18(x4431,x4432,x4433,x4434,x4435,f13(a6,a22,a5,a4),x4436))),
% 0.96/1.07 inference(scs_inference,[],[135,70,401,405,407,276,383,61,59,84,87,385,137,75,92,47,48,45,44])).
% 0.96/1.07 cnf(449,plain,
% 0.96/1.07 (E(f13(x4491,x4492,x4493,a4),f13(x4491,x4492,x4493,f13(a6,a22,a5,a4)))),
% 0.96/1.07 inference(scs_inference,[],[135,70,401,405,407,276,383,61,59,84,87,385,137,75,92,47,48,45,44,43,42,41,40,39,38])).
% 0.96/1.07 cnf(490,plain,
% 0.96/1.07 (P2(f13(a6,a22,a5,a4),a3)),
% 0.96/1.07 inference(scs_inference,[],[135,70,401,405,407,190,276,383,61,59,84,87,385,137,75,92,47,48,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,139,73,3,51,49,50])).
% 0.96/1.07 cnf(509,plain,
% 0.96/1.07 (E(f13(x5091,x5092,x5093,a4),f13(x5091,x5092,x5093,f13(a6,a22,a5,a4)))),
% 0.96/1.07 inference(rename_variables,[],[449])).
% 0.96/1.07 cnf(516,plain,
% 0.96/1.07 (~E(f13(a6,a22,a5,a4),a4)),
% 0.96/1.07 inference(scs_inference,[],[70,442,443,449,509,428,436,490,440,401,180,55,2,351,4,3,51,50,88,82,48])).
% 0.96/1.07 cnf(537,plain,
% 0.96/1.07 ($false),
% 0.96/1.07 inference(scs_inference,[],[516,436,2]),
% 0.96/1.07 ['proof']).
% 0.96/1.07 % SZS output end Proof
% 0.96/1.07 % Total time :0.440000s
%------------------------------------------------------------------------------