TSTP Solution File: SWB022+2 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWB022+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n013.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 20:01:19 EDT 2023
% Result : Theorem 0.85s 1.00s
% Output : CNFRefutation 0.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWB022+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.18/0.35 % Computer : n013.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Sun Aug 27 07:15:47 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.20/0.59 start to proof:theBenchmark
% 0.85/0.99 %-------------------------------------------
% 0.85/0.99 % File :CSE---1.6
% 0.85/0.99 % Problem :theBenchmark
% 0.85/0.99 % Transform :cnf
% 0.85/0.99 % Format :tptp:raw
% 0.85/0.99 % Command :java -jar mcs_scs.jar %d %s
% 0.85/0.99
% 0.85/0.99 % Result :Theorem 0.350000s
% 0.85/0.99 % Output :CNFRefutation 0.350000s
% 0.85/0.99 %-------------------------------------------
% 0.85/1.00 %------------------------------------------------------------------------------
% 0.85/1.00 % File : SWB022+2 : TPTP v8.1.2. Released v5.2.0.
% 0.85/1.00 % Domain : Semantic Web
% 0.85/1.00 % Problem : List Member Access
% 0.85/1.00 % Version : [Sch11] axioms : Reduced > Incomplete.
% 0.85/1.00 % English :
% 0.85/1.00
% 0.85/1.00 % Refs : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% 0.85/1.00 % Source : [Sch11]
% 0.85/1.00 % Names : 022_List_Member_Access [Sch11]
% 0.85/1.00
% 0.85/1.00 % Status : Theorem
% 0.85/1.00 % Rating : 0.13 v8.1.0, 0.14 v7.5.0, 0.10 v7.4.0, 0.12 v7.3.0, 0.14 v7.2.0, 0.17 v7.1.0, 0.25 v7.0.0, 0.21 v6.3.0, 0.15 v6.2.0, 0.18 v6.1.0, 0.16 v6.0.0, 0.50 v5.5.0, 0.21 v5.4.0, 0.13 v5.3.0, 0.22 v5.2.0
% 0.85/1.00 % Syntax : Number of formulae : 4 ( 0 unt; 0 def)
% 0.85/1.00 % Number of atoms : 38 ( 0 equ)
% 0.85/1.00 % Maximal formula atoms : 19 ( 9 avg)
% 0.85/1.00 % Number of connectives : 34 ( 0 ~; 0 |; 29 &)
% 0.85/1.00 % ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% 0.85/1.00 % Maximal formula depth : 27 ( 14 avg)
% 0.85/1.00 % Maximal term depth : 1 ( 1 avg)
% 0.85/1.00 % Number of predicates : 2 ( 2 usr; 0 prp; 1-3 aty)
% 0.85/1.00 % Number of functors : 13 ( 13 usr; 13 con; 0-0 aty)
% 0.85/1.00 % Number of variables : 20 ( 12 !; 8 ?)
% 0.85/1.00 % SPC : FOF_THM_RFO_NEQ
% 0.85/1.00
% 0.85/1.00 % Comments :
% 0.85/1.00 %------------------------------------------------------------------------------
% 0.85/1.00 fof(rdfs_subpropertyof_main,axiom,
% 0.85/1.00 ! [P,Q] :
% 0.85/1.00 ( iext(uri_rdfs_subPropertyOf,P,Q)
% 0.85/1.00 => ( ip(P)
% 0.85/1.00 & ip(Q)
% 0.85/1.00 & ! [X,Y] :
% 0.85/1.00 ( iext(P,X,Y)
% 0.85/1.00 => iext(Q,X,Y) ) ) ) ).
% 0.85/1.00
% 0.85/1.00 fof(owl_chain_002,axiom,
% 0.85/1.00 ! [P,S1,P1,S2,P2] :
% 0.85/1.00 ( ( iext(uri_rdf_first,S1,P1)
% 0.85/1.00 & iext(uri_rdf_rest,S1,S2)
% 0.85/1.00 & iext(uri_rdf_first,S2,P2)
% 0.85/1.00 & iext(uri_rdf_rest,S2,uri_rdf_nil) )
% 0.85/1.00 => ( iext(uri_owl_propertyChainAxiom,P,S1)
% 0.85/1.00 <=> ( ip(P)
% 0.85/1.00 & ip(P1)
% 0.85/1.00 & ip(P2)
% 0.85/1.00 & ! [Y0,Y1,Y2] :
% 0.85/1.00 ( ( iext(P1,Y0,Y1)
% 0.85/1.00 & iext(P2,Y1,Y2) )
% 0.85/1.00 => iext(P,Y0,Y2) ) ) ) ) ).
% 0.85/1.00
% 0.85/1.00 fof(testcase_conclusion_fullish_022_List_Member_Access,conjecture,
% 0.85/1.00 ( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
% 0.85/1.00 & iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
% 0.85/1.00 & iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ) ).
% 0.85/1.00
% 0.85/1.00 fof(testcase_premise_fullish_022_List_Member_Access,axiom,
% 0.85/1.00 ? [BNODE_pL,BNODE_l11,BNODE_l12,BNODE_l21,BNODE_l22,BNODE_l31,BNODE_l32,BNODE_l33] :
% 0.85/1.00 ( iext(uri_rdfs_subPropertyOf,uri_skos_memberList,BNODE_pL)
% 0.85/1.00 & iext(uri_owl_propertyChainAxiom,uri_skos_member,BNODE_l11)
% 0.85/1.00 & iext(uri_rdf_first,BNODE_l11,BNODE_pL)
% 0.85/1.00 & iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
% 0.85/1.00 & iext(uri_rdf_first,BNODE_l12,uri_rdf_first)
% 0.85/1.00 & iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
% 0.85/1.00 & iext(uri_owl_propertyChainAxiom,BNODE_pL,BNODE_l21)
% 0.85/1.00 & iext(uri_rdf_first,BNODE_l21,BNODE_pL)
% 0.85/1.00 & iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
% 0.85/1.00 & iext(uri_rdf_first,BNODE_l22,uri_rdf_rest)
% 0.85/1.00 & iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)
% 0.85/1.00 & iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
% 0.85/1.00 & iext(uri_skos_memberList,uri_ex_MyOrderedCollection,BNODE_l31)
% 0.85/1.00 & iext(uri_rdf_first,BNODE_l31,uri_ex_X)
% 0.85/1.00 & iext(uri_rdf_rest,BNODE_l31,BNODE_l32)
% 0.85/1.00 & iext(uri_rdf_first,BNODE_l32,uri_ex_Y)
% 0.85/1.00 & iext(uri_rdf_rest,BNODE_l32,BNODE_l33)
% 0.85/1.00 & iext(uri_rdf_first,BNODE_l33,uri_ex_Z)
% 0.85/1.00 & iext(uri_rdf_rest,BNODE_l33,uri_rdf_nil) ) ).
% 0.85/1.00
% 0.85/1.00 %------------------------------------------------------------------------------
% 0.85/1.00 %-------------------------------------------
% 0.85/1.00 % Proof found
% 0.85/1.00 % SZS status Theorem for theBenchmark
% 0.85/1.00 % SZS output start Proof
% 0.85/1.00 %ClaNum:30(EqnAxiom:0)
% 0.85/1.00 %VarNum:131(SingletonVarNum:46)
% 0.85/1.00 %MaxLitNum:9
% 0.85/1.00 %MaxfuncDepth:1
% 0.85/1.00 %SharedTerms:43
% 0.85/1.00 %goalClause: 23
% 0.85/1.00 [1]P1(a1,a22,a2)
% 0.85/1.00 [2]P1(a8,a9,a2)
% 0.85/1.00 [3]P1(a8,a10,a8)
% 0.85/1.00 [4]P1(a8,a11,a2)
% 0.85/1.00 [5]P1(a8,a12,a19)
% 0.85/1.00 [6]P1(a8,a13,a14)
% 0.85/1.00 [7]P1(a8,a3,a16)
% 0.85/1.00 [8]P1(a8,a4,a17)
% 0.85/1.00 [9]P1(a19,a9,a10)
% 0.85/1.00 [10]P1(a19,a10,a20)
% 0.85/1.00 [11]P1(a19,a11,a12)
% 0.85/1.00 [12]P1(a19,a12,a20)
% 0.85/1.00 [13]P1(a19,a13,a3)
% 0.85/1.00 [14]P1(a19,a3,a4)
% 0.85/1.00 [15]P1(a19,a4,a20)
% 0.85/1.00 [16]P1(a18,a23,a9)
% 0.85/1.00 [17]P1(a18,a2,a11)
% 0.85/1.00 [18]P1(a22,a15,a13)
% 0.85/1.00 [19]P1(a21,a15,a24)
% 0.85/1.00 [20]P2(x201)+~P1(a1,x202,x201)
% 0.85/1.00 [21]P2(x211)+~P1(a1,x211,x212)
% 0.85/1.00 [23]~P1(a23,a15,a14)+~P1(a23,a15,a16)+~P1(a23,a15,a17)
% 0.85/1.00 [22]P1(x221,x222,x223)+~P1(x224,x222,x223)+~P1(a1,x224,x221)
% 0.85/1.00 [24]P2(x241)+~P1(a19,x243,x242)+~P1(a8,x242,x241)+~P1(a8,x243,x244)+~P1(a18,x245,x243)+~P1(a19,x242,a20)
% 0.85/1.00 [25]P2(x251)+~P1(a19,x254,x252)+~P1(a8,x252,x253)+~P1(a8,x254,x251)+~P1(a18,x255,x254)+~P1(a19,x252,a20)
% 0.85/1.00 [26]P2(x261)+~P1(a19,x264,x262)+~P1(a18,x261,x264)+~P1(a8,x262,x263)+~P1(a8,x264,x265)+~P1(a19,x262,a20)
% 0.85/1.00 [27]P1(x271,x272,x273)+~P1(x274,x275,x273)+~P1(x276,x272,x275)+~P1(a19,x278,x277)+~P1(a18,x271,x278)+~P1(a8,x277,x274)+~P1(a8,x278,x276)+~P1(a19,x277,a20)
% 0.85/1.00 [28]~P2(x285)+~P2(x281)+~P2(x283)+~P1(a8,x284,x285)+~P1(a8,x282,x283)+~P1(a19,x282,x284)+P1(x283,f5(x281,x282,x283,x284,x285),f6(x281,x282,x283,x284,x285))+P1(a18,x281,x282)+~P1(a19,x284,a20)
% 0.85/1.00 [29]~P2(x294)+~P2(x291)+~P2(x293)+~P1(a8,x295,x293)+~P1(a8,x292,x294)+~P1(a19,x292,x295)+P1(x293,f6(x291,x292,x294,x295,x293),f7(x291,x292,x294,x295,x293))+P1(a18,x291,x292)+~P1(a19,x295,a20)
% 0.85/1.00 [30]~P2(x301)+~P2(x303)+~P2(x304)+~P1(a8,x302,x304)+~P1(a19,x302,x305)+~P1(x301,f5(x301,x302,x304,x305,x303),f7(x301,x302,x304,x305,x303))+P1(a18,x301,x302)+~P1(a8,x305,x303)+~P1(a19,x305,a20)
% 0.85/1.00 %EqnAxiom
% 0.85/1.00
% 0.85/1.00 %-------------------------------------------
% 0.93/1.00 cnf(33,plain,
% 0.93/1.00 (P1(a2,a15,a13)),
% 0.93/1.00 inference(scs_inference,[],[1,18,21,20,22])).
% 0.93/1.00 cnf(87,plain,
% 0.93/1.00 (P1(a2,a15,a3)),
% 0.93/1.00 inference(scs_inference,[],[4,33,5,17,13,11,12,27])).
% 0.93/1.00 cnf(299,plain,
% 0.93/1.00 (P1(a2,a15,a4)),
% 0.93/1.00 inference(scs_inference,[],[87,4,11,5,12,17,14,27])).
% 0.93/1.00 cnf(307,plain,
% 0.93/1.00 (~P1(a23,a15,a14)+~P1(a23,a15,a17)),
% 0.93/1.00 inference(scs_inference,[],[87,7,2,9,3,10,16,27,23])).
% 0.93/1.00 cnf(357,plain,
% 0.93/1.00 (~P1(a23,a15,a17)),
% 0.93/1.00 inference(scs_inference,[],[6,2,9,3,10,33,16,27,307])).
% 0.93/1.00 cnf(372,plain,
% 0.93/1.00 ($false),
% 0.93/1.00 inference(scs_inference,[],[357,299,8,2,9,3,10,16,27]),
% 0.93/1.00 ['proof']).
% 0.93/1.00 % SZS output end Proof
% 0.93/1.00 % Total time :0.350000s
%------------------------------------------------------------------------------