TSTP Solution File: SWB025+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWB025+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 : n009.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 20:01:22 EDT 2023
% Result : Theorem 0.52s 0.65s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWB025+2 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.11/0.33 % Computer : n009.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sun Aug 27 07:00:20 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.51/0.56 start to proof:theBenchmark
% 0.52/0.64 %-------------------------------------------
% 0.52/0.64 % File :CSE---1.6
% 0.52/0.64 % Problem :theBenchmark
% 0.52/0.64 % Transform :cnf
% 0.52/0.64 % Format :tptp:raw
% 0.52/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.52/0.64
% 0.52/0.64 % Result :Theorem 0.020000s
% 0.52/0.64 % Output :CNFRefutation 0.020000s
% 0.52/0.64 %-------------------------------------------
% 0.52/0.65 %------------------------------------------------------------------------------
% 0.52/0.65 % File : SWB025+2 : TPTP v8.1.2. Released v5.2.0.
% 0.52/0.65 % Domain : Semantic Web
% 0.52/0.65 % Problem : Cyclic Dependencies between Complex Properties
% 0.52/0.65 % Version : [Sch11] axioms : Reduced > Incomplete.
% 0.52/0.65 % English :
% 0.52/0.65
% 0.52/0.65 % Refs : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% 0.52/0.65 % Source : [Sch11]
% 0.52/0.65 % Names : 025_Cyclic_Dependencies_between_Complex_Properties [Sch11]
% 0.52/0.65
% 0.52/0.65 % Status : Theorem
% 0.52/0.65 % Rating : 0.07 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.14 v7.2.0, 0.17 v7.1.0, 0.25 v7.0.0, 0.14 v6.3.0, 0.08 v6.2.0, 0.09 v6.1.0, 0.12 v6.0.0, 0.50 v5.5.0, 0.17 v5.3.0, 0.22 v5.2.0
% 0.52/0.65 % Syntax : Number of formulae : 4 ( 0 unt; 0 def)
% 0.52/0.65 % Number of atoms : 33 ( 0 equ)
% 0.52/0.65 % Maximal formula atoms : 15 ( 8 avg)
% 0.52/0.65 % Number of connectives : 29 ( 0 ~; 0 |; 24 &)
% 0.52/0.65 % ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% 0.52/0.65 % Maximal formula depth : 20 ( 12 avg)
% 0.52/0.65 % Maximal term depth : 1 ( 1 avg)
% 0.52/0.65 % Number of predicates : 2 ( 2 usr; 0 prp; 1-3 aty)
% 0.52/0.65 % Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% 0.52/0.65 % Number of variables : 17 ( 12 !; 5 ?)
% 0.52/0.65 % SPC : FOF_THM_RFO_NEQ
% 0.52/0.65
% 0.52/0.65 % Comments :
% 0.52/0.65 %------------------------------------------------------------------------------
% 0.52/0.65 fof(owl_chain_002,axiom,
% 0.52/0.65 ! [P,S1,P1,S2,P2] :
% 0.52/0.65 ( ( iext(uri_rdf_first,S1,P1)
% 0.52/0.65 & iext(uri_rdf_rest,S1,S2)
% 0.52/0.65 & iext(uri_rdf_first,S2,P2)
% 0.52/0.65 & iext(uri_rdf_rest,S2,uri_rdf_nil) )
% 0.52/0.65 => ( iext(uri_owl_propertyChainAxiom,P,S1)
% 0.52/0.65 <=> ( ip(P)
% 0.52/0.65 & ip(P1)
% 0.52/0.65 & ip(P2)
% 0.52/0.65 & ! [Y0,Y1,Y2] :
% 0.52/0.65 ( ( iext(P1,Y0,Y1)
% 0.52/0.65 & iext(P2,Y1,Y2) )
% 0.52/0.65 => iext(P,Y0,Y2) ) ) ) ) ).
% 0.52/0.65
% 0.52/0.65 fof(owl_inv,axiom,
% 0.52/0.65 ! [P1,P2] :
% 0.52/0.65 ( iext(uri_owl_inverseOf,P1,P2)
% 0.52/0.65 <=> ( ip(P1)
% 0.52/0.65 & ip(P2)
% 0.52/0.65 & ! [X,Y] :
% 0.52/0.65 ( iext(P1,X,Y)
% 0.52/0.65 <=> iext(P2,Y,X) ) ) ) ).
% 0.52/0.65
% 0.52/0.65 fof(testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties,conjecture,
% 0.52/0.65 ( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
% 0.52/0.65 & iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ) ).
% 0.52/0.65
% 0.52/0.65 fof(testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties,axiom,
% 0.52/0.65 ? [BNODE_l11,BNODE_l12,BNODE_l21,BNODE_l22,BNODE_l3] :
% 0.52/0.65 ( iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,BNODE_l11)
% 0.52/0.65 & iext(uri_rdf_first,BNODE_l11,uri_ex_hasCousin)
% 0.52/0.65 & iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
% 0.52/0.65 & iext(uri_rdf_first,BNODE_l12,uri_ex_hasFather)
% 0.52/0.65 & iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
% 0.52/0.65 & iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,BNODE_l21)
% 0.52/0.65 & iext(uri_rdf_first,BNODE_l21,uri_ex_hasUncle)
% 0.52/0.65 & iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
% 0.52/0.65 & iext(uri_rdf_first,BNODE_l22,BNODE_l3)
% 0.52/0.65 & iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)
% 0.52/0.65 & iext(uri_owl_inverseOf,BNODE_l3,uri_ex_hasFather)
% 0.52/0.65 & iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
% 0.52/0.65 & iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
% 0.52/0.65 & iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
% 0.52/0.65 & iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave) ) ).
% 0.52/0.65
% 0.52/0.65 %------------------------------------------------------------------------------
% 0.52/0.65 %-------------------------------------------
% 0.52/0.65 % Proof found
% 0.52/0.65 % SZS status Theorem for theBenchmark
% 0.52/0.65 % SZS output start Proof
% 0.52/0.65 %ClaNum:29(EqnAxiom:0)
% 0.52/0.65 %VarNum:167(SingletonVarNum:54)
% 0.52/0.65 %MaxLitNum:9
% 0.52/0.65 %MaxfuncDepth:1
% 0.52/0.65 %SharedTerms:34
% 0.52/0.65 %goalClause: 18
% 0.52/0.65 [1]P1(a1,a2,a9)
% 0.52/0.65 [2]P1(a1,a10,a17)
% 0.52/0.65 [3]P1(a1,a11,a18)
% 0.52/0.65 [4]P1(a1,a12,a3)
% 0.52/0.65 [5]P1(a21,a2,a10)
% 0.52/0.65 [6]P1(a21,a10,a22)
% 0.52/0.65 [7]P1(a21,a11,a12)
% 0.52/0.65 [8]P1(a21,a12,a22)
% 0.52/0.65 [9]P1(a19,a18,a2)
% 0.52/0.65 [10]P1(a19,a9,a11)
% 0.52/0.65 [11]P1(a20,a3,a17)
% 0.52/0.65 [12]P1(a18,a13,a15)
% 0.52/0.65 [13]P1(a9,a14,a13)
% 0.52/0.65 [14]P1(a17,a14,a15)
% 0.52/0.65 [15]P1(a17,a13,a16)
% 0.52/0.65 [18]~P1(a18,a14,a16)+~P1(a9,a13,a14)
% 0.52/0.65 [16]P2(x161)+~P1(a20,x162,x161)
% 0.52/0.65 [17]P2(x171)+~P1(a20,x171,x172)
% 0.52/0.65 [19]P1(x191,x192,x193)+~P1(x194,x193,x192)+~P1(a20,x191,x194)
% 0.52/0.65 [20]P1(x201,x202,x203)+~P1(x204,x203,x202)+~P1(a20,x204,x201)
% 0.52/0.65 [21]~P2(x212)+~P2(x211)+P1(x212,f4(x211,x212),f5(x211,x212))+P1(x211,f5(x211,x212),f4(x211,x212))+P1(a20,x211,x212)
% 0.52/0.65 [22]~P2(x222)+~P2(x221)+~P1(x222,f4(x221,x222),f5(x221,x222))+~P1(x221,f5(x221,x222),f4(x221,x222))+P1(a20,x221,x222)
% 0.52/0.65 [23]P2(x231)+~P1(a21,x233,x232)+~P1(a1,x232,x231)+~P1(a1,x233,x234)+~P1(a19,x235,x233)+~P1(a21,x232,a22)
% 0.52/0.65 [24]P2(x241)+~P1(a21,x244,x242)+~P1(a1,x242,x243)+~P1(a1,x244,x241)+~P1(a19,x245,x244)+~P1(a21,x242,a22)
% 0.52/0.65 [25]P2(x251)+~P1(a21,x254,x252)+~P1(a19,x251,x254)+~P1(a1,x252,x253)+~P1(a1,x254,x255)+~P1(a21,x252,a22)
% 0.52/0.65 [26]P1(x261,x262,x263)+~P1(x264,x265,x263)+~P1(x266,x262,x265)+~P1(a21,x268,x267)+~P1(a19,x261,x268)+~P1(a1,x267,x264)+~P1(a1,x268,x266)+~P1(a21,x267,a22)
% 0.52/0.65 [27]~P2(x275)+~P2(x271)+~P2(x273)+~P1(a1,x274,x275)+~P1(a1,x272,x273)+~P1(a21,x272,x274)+P1(x273,f6(x271,x272,x273,x274,x275),f7(x271,x272,x273,x274,x275))+P1(a19,x271,x272)+~P1(a21,x274,a22)
% 0.52/0.65 [28]~P2(x284)+~P2(x281)+~P2(x283)+~P1(a1,x285,x283)+~P1(a1,x282,x284)+~P1(a21,x282,x285)+P1(x283,f7(x281,x282,x284,x285,x283),f8(x281,x282,x284,x285,x283))+P1(a19,x281,x282)+~P1(a21,x285,a22)
% 0.52/0.65 [29]~P2(x291)+~P2(x293)+~P2(x294)+~P1(a1,x292,x294)+~P1(a21,x292,x295)+~P1(x291,f6(x291,x292,x294,x295,x293),f8(x291,x292,x294,x295,x293))+P1(a19,x291,x292)+~P1(a1,x295,x293)+~P1(a21,x295,a22)
% 0.52/0.65 %EqnAxiom
% 0.52/0.65
% 0.52/0.65 %-------------------------------------------
% 0.52/0.65 cnf(32,plain,
% 0.52/0.65 (P1(a3,a15,a14)),
% 0.52/0.65 inference(scs_inference,[],[11,14,17,16,19])).
% 0.52/0.65 cnf(57,plain,
% 0.52/0.65 (P1(a9,a13,a14)),
% 0.52/0.65 inference(scs_inference,[],[12,10,3,7,8,4,32,26])).
% 0.52/0.65 cnf(72,plain,
% 0.52/0.65 (~P1(a18,a14,a16)),
% 0.52/0.65 inference(scs_inference,[],[57,18])).
% 0.52/0.65 cnf(75,plain,
% 0.52/0.65 (P1(a18,a14,a16)),
% 0.52/0.65 inference(scs_inference,[],[2,15,13,9,11,6,5,1,19,26])).
% 0.52/0.65 cnf(85,plain,
% 0.52/0.65 ($false),
% 0.52/0.65 inference(scs_inference,[],[72,75]),
% 0.52/0.65 ['proof']).
% 0.52/0.66 % SZS output end Proof
% 0.52/0.66 % Total time :0.020000s
%------------------------------------------------------------------------------