TSTP Solution File: SWB024+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWB024+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 : 0s
% DateTime : Tue Jul 19 18:47:41 EDT 2022
% Result : Theorem 0.72s 1.09s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWB024+2 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Wed Jun 1 01:11:03 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.72/1.09 *** allocated 10000 integers for termspace/termends
% 0.72/1.09 *** allocated 10000 integers for clauses
% 0.72/1.09 *** allocated 10000 integers for justifications
% 0.72/1.09 Bliksem 1.12
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Automatic Strategy Selection
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Clauses:
% 0.72/1.09
% 0.72/1.09 { ! iext( uri_rdf_type, X, Y ), icext( Y, X ) }.
% 0.72/1.09 { ! icext( Y, X ), iext( uri_rdf_type, X, Y ) }.
% 0.72/1.09 { ! iext( uri_owl_minCardinality, X, literal_typed( dat_str_1,
% 0.72/1.09 uri_xsd_nonNegativeInteger ) ), ! iext( uri_owl_onProperty, X, Y ), !
% 0.72/1.09 icext( X, Z ), iext( Y, Z, skol1( Y, Z ) ) }.
% 0.72/1.09 { ! iext( uri_owl_minCardinality, X, literal_typed( dat_str_1,
% 0.72/1.09 uri_xsd_nonNegativeInteger ) ), ! iext( uri_owl_onProperty, X, Y ), !
% 0.72/1.09 iext( Y, Z, T ), icext( X, Z ) }.
% 0.72/1.09 { ! iext( uri_rdfs_subClassOf, X, Y ), ic( X ) }.
% 0.72/1.09 { ! iext( uri_rdfs_subClassOf, X, Y ), alpha1( X, Y ) }.
% 0.72/1.09 { ! ic( X ), ! alpha1( X, Y ), iext( uri_rdfs_subClassOf, X, Y ) }.
% 0.72/1.09 { ! alpha1( X, Y ), ic( Y ) }.
% 0.72/1.09 { ! alpha1( X, Y ), alpha3( X, Y ) }.
% 0.72/1.09 { ! ic( Y ), ! alpha3( X, Y ), alpha1( X, Y ) }.
% 0.72/1.09 { ! alpha3( X, Y ), ! icext( X, Z ), icext( Y, Z ) }.
% 0.72/1.09 { ! icext( Y, skol2( Z, Y ) ), alpha3( X, Y ) }.
% 0.72/1.09 { icext( X, skol2( X, Y ) ), alpha3( X, Y ) }.
% 0.72/1.09 { ! icext( uri_owl_TransitiveProperty, X ), ip( X ) }.
% 0.72/1.09 { ! icext( uri_owl_TransitiveProperty, X ), alpha2( X ) }.
% 0.72/1.09 { ! ip( X ), ! alpha2( X ), icext( uri_owl_TransitiveProperty, X ) }.
% 0.72/1.09 { ! alpha2( X ), ! alpha4( X, Y, Z ), iext( X, Y, Z ) }.
% 0.72/1.09 { alpha4( X, skol3( X ), skol6( X ) ), alpha2( X ) }.
% 0.72/1.09 { ! iext( X, skol3( X ), skol6( X ) ), alpha2( X ) }.
% 0.72/1.09 { ! alpha4( X, Y, Z ), iext( X, Y, skol4( X, Y, T ) ) }.
% 0.72/1.09 { ! alpha4( X, Y, Z ), iext( X, skol4( X, Y, Z ), Z ) }.
% 0.72/1.09 { ! iext( X, Y, T ), ! iext( X, T, Z ), alpha4( X, Y, Z ) }.
% 0.72/1.09 { ! iext( uri_ex_hasAncestor, uri_ex_bob, X ), ! iext( uri_ex_hasAncestor,
% 0.72/1.09 uri_ex_alice, X ) }.
% 0.72/1.09 { iext( uri_rdf_type, uri_ex_hasAncestor, uri_owl_TransitiveProperty ) }.
% 0.72/1.09 { iext( uri_rdfs_subClassOf, uri_ex_Person, skol5 ) }.
% 0.72/1.09 { iext( uri_rdf_type, skol5, uri_owl_Restriction ) }.
% 0.72/1.09 { iext( uri_owl_onProperty, skol5, uri_ex_hasAncestor ) }.
% 0.72/1.09 { iext( uri_owl_minCardinality, skol5, literal_typed( dat_str_1,
% 0.72/1.09 uri_xsd_nonNegativeInteger ) ) }.
% 0.72/1.09 { iext( uri_rdf_type, uri_ex_alice, uri_ex_Person ) }.
% 0.72/1.09 { iext( uri_rdf_type, uri_ex_bob, uri_ex_Person ) }.
% 0.72/1.09 { iext( uri_ex_hasAncestor, uri_ex_alice, uri_ex_bob ) }.
% 0.72/1.09
% 0.72/1.09 percentage equality = 0.000000, percentage horn = 0.935484
% 0.72/1.09 This is a near-Horn, non-equality problem
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Options Used:
% 0.72/1.09
% 0.72/1.09 useres = 1
% 0.72/1.09 useparamod = 0
% 0.72/1.09 useeqrefl = 0
% 0.72/1.09 useeqfact = 0
% 0.72/1.09 usefactor = 1
% 0.72/1.09 usesimpsplitting = 0
% 0.72/1.09 usesimpdemod = 0
% 0.72/1.09 usesimpres = 4
% 0.72/1.09
% 0.72/1.09 resimpinuse = 1000
% 0.72/1.09 resimpclauses = 20000
% 0.72/1.09 substype = standard
% 0.72/1.09 backwardsubs = 1
% 0.72/1.09 selectoldest = 5
% 0.72/1.09
% 0.72/1.09 litorderings [0] = split
% 0.72/1.09 litorderings [1] = liftord
% 0.72/1.09
% 0.72/1.09 termordering = none
% 0.72/1.09
% 0.72/1.09 litapriori = 1
% 0.72/1.09 termapriori = 0
% 0.72/1.09 litaposteriori = 0
% 0.72/1.09 termaposteriori = 0
% 0.72/1.09 demodaposteriori = 0
% 0.72/1.09 ordereqreflfact = 0
% 0.72/1.09
% 0.72/1.09 litselect = negative
% 0.72/1.09
% 0.72/1.09 maxweight = 30000
% 0.72/1.09 maxdepth = 30000
% 0.72/1.09 maxlength = 115
% 0.72/1.09 maxnrvars = 195
% 0.72/1.09 excuselevel = 0
% 0.72/1.09 increasemaxweight = 0
% 0.72/1.09
% 0.72/1.09 maxselected = 10000000
% 0.72/1.09 maxnrclauses = 10000000
% 0.72/1.09
% 0.72/1.09 showgenerated = 0
% 0.72/1.09 showkept = 0
% 0.72/1.09 showselected = 0
% 0.72/1.09 showdeleted = 0
% 0.72/1.09 showresimp = 1
% 0.72/1.09 showstatus = 2000
% 0.72/1.09
% 0.72/1.09 prologoutput = 0
% 0.72/1.09 nrgoals = 5000000
% 0.72/1.09 totalproof = 1
% 0.72/1.09
% 0.72/1.09 Symbols occurring in the translation:
% 0.72/1.09
% 0.72/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.09 . [1, 2] (w:1, o:38, a:1, s:1, b:0),
% 0.72/1.09 ! [4, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.72/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.09 uri_rdf_type [37, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.72/1.09 iext [38, 3] (w:1, o:68, a:1, s:1, b:0),
% 0.72/1.09 icext [39, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.72/1.09 uri_owl_minCardinality [42, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.72/1.09 dat_str_1 [43, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.72/1.09 uri_xsd_nonNegativeInteger [44, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.72/1.09 literal_typed [45, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.72/1.09 uri_owl_onProperty [46, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.72/1.09 uri_rdfs_subClassOf [50, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.72/1.09 ic [51, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.72/1.09 uri_owl_TransitiveProperty [52, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.72/1.09 ip [53, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.72/1.09 uri_ex_hasAncestor [55, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.72/1.09 uri_ex_bob [56, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.72/1.09 uri_ex_alice [57, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.72/1.09 uri_ex_Person [59, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.72/1.09 uri_owl_Restriction [60, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.72/1.09 alpha1 [61, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.72/1.09 alpha2 [62, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.72/1.09 alpha3 [63, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.72/1.09 alpha4 [64, 3] (w:1, o:69, a:1, s:1, b:0),
% 0.72/1.09 skol1 [65, 2] (w:1, o:66, a:1, s:1, b:0),
% 0.72/1.09 skol2 [66, 2] (w:1, o:67, a:1, s:1, b:0),
% 0.72/1.09 skol3 [67, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.72/1.09 skol4 [68, 3] (w:1, o:70, a:1, s:1, b:0),
% 0.72/1.09 skol5 [69, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.72/1.09 skol6 [70, 1] (w:1, o:37, a:1, s:1, b:0).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Starting Search:
% 0.72/1.09
% 0.72/1.09 *** allocated 15000 integers for clauses
% 0.72/1.09
% 0.72/1.09 Bliksems!, er is een bewijs:
% 0.72/1.09 % SZS status Theorem
% 0.72/1.09 % SZS output start Refutation
% 0.72/1.09
% 0.72/1.09 (0) {G0,W8,D2,L2,V2,M1} I { icext( Y, X ), ! iext( uri_rdf_type, X, Y ) }.
% 0.72/1.09 (2) {G0,W22,D3,L4,V3,M1} I { ! icext( X, Z ), ! iext( uri_owl_onProperty, X
% 0.72/1.09 , Y ), iext( Y, Z, skol1( Y, Z ) ), ! iext( uri_owl_minCardinality, X,
% 0.72/1.09 literal_typed( dat_str_1, uri_xsd_nonNegativeInteger ) ) }.
% 0.72/1.09 (5) {G0,W8,D2,L2,V2,M1} I { alpha1( X, Y ), ! iext( uri_rdfs_subClassOf, X
% 0.72/1.09 , Y ) }.
% 0.72/1.09 (8) {G0,W7,D2,L2,V2,M1} I { alpha3( X, Y ), ! alpha1( X, Y ) }.
% 0.72/1.09 (10) {G0,W11,D2,L3,V3,M1} I { ! alpha3( X, Y ), icext( Y, Z ), ! icext( X,
% 0.72/1.09 Z ) }.
% 0.72/1.09 (14) {G0,W6,D2,L2,V1,M1} I { alpha2( X ), ! icext(
% 0.72/1.09 uri_owl_TransitiveProperty, X ) }.
% 0.72/1.09 (16) {G0,W12,D2,L3,V3,M1} I { ! alpha4( X, Y, Z ), iext( X, Y, Z ), !
% 0.72/1.09 alpha2( X ) }.
% 0.72/1.09 (21) {G0,W14,D2,L3,V4,M1} I { ! iext( X, Y, T ), alpha4( X, Y, Z ), ! iext
% 0.72/1.09 ( X, T, Z ) }.
% 0.72/1.09 (22) {G0,W10,D2,L2,V1,M1} I { ! iext( uri_ex_hasAncestor, uri_ex_alice, X )
% 0.72/1.09 , ! iext( uri_ex_hasAncestor, uri_ex_bob, X ) }.
% 0.72/1.09 (23) {G0,W4,D2,L1,V0,M1} I { iext( uri_rdf_type, uri_ex_hasAncestor,
% 0.72/1.09 uri_owl_TransitiveProperty ) }.
% 0.72/1.09 (24) {G0,W4,D2,L1,V0,M1} I { iext( uri_rdfs_subClassOf, uri_ex_Person,
% 0.72/1.09 skol5 ) }.
% 0.72/1.09 (26) {G0,W4,D2,L1,V0,M1} I { iext( uri_owl_onProperty, skol5,
% 0.72/1.09 uri_ex_hasAncestor ) }.
% 0.72/1.09 (27) {G0,W6,D3,L1,V0,M1} I { iext( uri_owl_minCardinality, skol5,
% 0.72/1.09 literal_typed( dat_str_1, uri_xsd_nonNegativeInteger ) ) }.
% 0.72/1.09 (29) {G0,W4,D2,L1,V0,M1} I { iext( uri_rdf_type, uri_ex_bob, uri_ex_Person
% 0.72/1.09 ) }.
% 0.72/1.09 (30) {G0,W4,D2,L1,V0,M1} I { iext( uri_ex_hasAncestor, uri_ex_alice,
% 0.72/1.09 uri_ex_bob ) }.
% 0.72/1.09 (36) {G1,W3,D2,L1,V0,M1} R(0,29) { icext( uri_ex_Person, uri_ex_bob ) }.
% 0.72/1.09 (37) {G1,W3,D2,L1,V0,M1} R(23,0) { icext( uri_owl_TransitiveProperty,
% 0.72/1.09 uri_ex_hasAncestor ) }.
% 0.72/1.09 (38) {G2,W2,D2,L1,V0,M1} R(14,37) { alpha2( uri_ex_hasAncestor ) }.
% 0.72/1.09 (40) {G1,W15,D3,L3,V2,M1} R(27,2) { ! icext( skol5, X ), iext( Y, X, skol1
% 0.72/1.09 ( Y, X ) ), ! iext( uri_owl_onProperty, skol5, Y ) }.
% 0.72/1.09 (50) {G1,W3,D2,L1,V0,M1} R(5,24) { alpha1( uri_ex_Person, skol5 ) }.
% 0.72/1.09 (52) {G2,W3,D2,L1,V0,M1} R(50,8) { alpha3( uri_ex_Person, skol5 ) }.
% 0.72/1.09 (60) {G2,W7,D2,L2,V1,M1} R(10,36) { icext( X, uri_ex_bob ), ! alpha3(
% 0.72/1.09 uri_ex_Person, X ) }.
% 0.72/1.09 (65) {G3,W3,D2,L1,V0,M1} R(60,52) { icext( skol5, uri_ex_bob ) }.
% 0.72/1.09 (79) {G3,W9,D2,L2,V2,M1} R(16,38) { iext( uri_ex_hasAncestor, X, Y ), !
% 0.72/1.09 alpha4( uri_ex_hasAncestor, X, Y ) }.
% 0.72/1.09 (160) {G2,W10,D3,L2,V1,M1} R(40,26) { iext( uri_ex_hasAncestor, X, skol1(
% 0.72/1.09 uri_ex_hasAncestor, X ) ), ! icext( skol5, X ) }.
% 0.72/1.09 (216) {G4,W6,D3,L1,V0,M1} R(160,65) { iext( uri_ex_hasAncestor, uri_ex_bob
% 0.72/1.09 , skol1( uri_ex_hasAncestor, uri_ex_bob ) ) }.
% 0.72/1.09 (218) {G5,W7,D3,L1,V0,M1} R(216,22) { ! iext( uri_ex_hasAncestor,
% 0.72/1.09 uri_ex_alice, skol1( uri_ex_hasAncestor, uri_ex_bob ) ) }.
% 0.72/1.09 (219) {G5,W11,D3,L2,V1,M1} R(216,21) { alpha4( uri_ex_hasAncestor, X, skol1
% 0.72/1.09 ( uri_ex_hasAncestor, uri_ex_bob ) ), ! iext( uri_ex_hasAncestor, X,
% 0.72/1.09 uri_ex_bob ) }.
% 0.72/1.09 (226) {G6,W6,D3,L1,V0,M1} R(219,30) { alpha4( uri_ex_hasAncestor,
% 0.72/1.09 uri_ex_alice, skol1( uri_ex_hasAncestor, uri_ex_bob ) ) }.
% 0.72/1.09 (230) {G7,W0,D0,L0,V0,M0} R(226,79);r(218) { }.
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 % SZS output end Refutation
% 0.72/1.09 found a proof!
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Unprocessed initial clauses:
% 0.72/1.09
% 0.72/1.09 (232) {G0,W8,D2,L2,V2,M2} { ! iext( uri_rdf_type, X, Y ), icext( Y, X )
% 0.72/1.09 }.
% 0.72/1.09 (233) {G0,W8,D2,L2,V2,M2} { ! icext( Y, X ), iext( uri_rdf_type, X, Y )
% 0.72/1.09 }.
% 0.72/1.09 (234) {G0,W22,D3,L4,V3,M4} { ! iext( uri_owl_minCardinality, X,
% 0.72/1.09 literal_typed( dat_str_1, uri_xsd_nonNegativeInteger ) ), ! iext(
% 0.72/1.09 uri_owl_onProperty, X, Y ), ! icext( X, Z ), iext( Y, Z, skol1( Y, Z ) )
% 0.72/1.09 }.
% 0.72/1.09 (235) {G0,W20,D3,L4,V4,M4} { ! iext( uri_owl_minCardinality, X,
% 0.72/1.09 literal_typed( dat_str_1, uri_xsd_nonNegativeInteger ) ), ! iext(
% 0.72/1.09 uri_owl_onProperty, X, Y ), ! iext( Y, Z, T ), icext( X, Z ) }.
% 0.72/1.09 (236) {G0,W7,D2,L2,V2,M2} { ! iext( uri_rdfs_subClassOf, X, Y ), ic( X )
% 0.72/1.09 }.
% 0.72/1.09 (237) {G0,W8,D2,L2,V2,M2} { ! iext( uri_rdfs_subClassOf, X, Y ), alpha1( X
% 0.72/1.09 , Y ) }.
% 0.72/1.09 (238) {G0,W11,D2,L3,V2,M3} { ! ic( X ), ! alpha1( X, Y ), iext(
% 0.72/1.09 uri_rdfs_subClassOf, X, Y ) }.
% 0.72/1.09 (239) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ic( Y ) }.
% 0.72/1.09 (240) {G0,W7,D2,L2,V2,M2} { ! alpha1( X, Y ), alpha3( X, Y ) }.
% 0.72/1.09 (241) {G0,W10,D2,L3,V2,M3} { ! ic( Y ), ! alpha3( X, Y ), alpha1( X, Y )
% 0.72/1.10 }.
% 0.72/1.10 (242) {G0,W11,D2,L3,V3,M3} { ! alpha3( X, Y ), ! icext( X, Z ), icext( Y,
% 0.72/1.10 Z ) }.
% 0.72/1.10 (243) {G0,W9,D3,L2,V3,M2} { ! icext( Y, skol2( Z, Y ) ), alpha3( X, Y )
% 0.72/1.10 }.
% 0.72/1.10 (244) {G0,W8,D3,L2,V2,M2} { icext( X, skol2( X, Y ) ), alpha3( X, Y ) }.
% 0.72/1.10 (245) {G0,W6,D2,L2,V1,M2} { ! icext( uri_owl_TransitiveProperty, X ), ip(
% 0.72/1.10 X ) }.
% 0.72/1.10 (246) {G0,W6,D2,L2,V1,M2} { ! icext( uri_owl_TransitiveProperty, X ),
% 0.72/1.10 alpha2( X ) }.
% 0.72/1.10 (247) {G0,W9,D2,L3,V1,M3} { ! ip( X ), ! alpha2( X ), icext(
% 0.72/1.10 uri_owl_TransitiveProperty, X ) }.
% 0.72/1.10 (248) {G0,W12,D2,L3,V3,M3} { ! alpha2( X ), ! alpha4( X, Y, Z ), iext( X,
% 0.72/1.10 Y, Z ) }.
% 0.72/1.10 (249) {G0,W8,D3,L2,V1,M2} { alpha4( X, skol3( X ), skol6( X ) ), alpha2( X
% 0.72/1.10 ) }.
% 0.72/1.10 (250) {G0,W9,D3,L2,V1,M2} { ! iext( X, skol3( X ), skol6( X ) ), alpha2( X
% 0.72/1.10 ) }.
% 0.72/1.10 (251) {G0,W12,D3,L2,V4,M2} { ! alpha4( X, Y, Z ), iext( X, Y, skol4( X, Y
% 0.72/1.10 , T ) ) }.
% 0.72/1.10 (252) {G0,W12,D3,L2,V3,M2} { ! alpha4( X, Y, Z ), iext( X, skol4( X, Y, Z
% 0.72/1.10 ), Z ) }.
% 0.72/1.10 (253) {G0,W14,D2,L3,V4,M3} { ! iext( X, Y, T ), ! iext( X, T, Z ), alpha4
% 0.72/1.10 ( X, Y, Z ) }.
% 0.72/1.10 (254) {G0,W10,D2,L2,V1,M2} { ! iext( uri_ex_hasAncestor, uri_ex_bob, X ),
% 0.72/1.10 ! iext( uri_ex_hasAncestor, uri_ex_alice, X ) }.
% 0.72/1.10 (255) {G0,W4,D2,L1,V0,M1} { iext( uri_rdf_type, uri_ex_hasAncestor,
% 0.72/1.10 uri_owl_TransitiveProperty ) }.
% 0.72/1.10 (256) {G0,W4,D2,L1,V0,M1} { iext( uri_rdfs_subClassOf, uri_ex_Person,
% 0.72/1.10 skol5 ) }.
% 0.72/1.10 (257) {G0,W4,D2,L1,V0,M1} { iext( uri_rdf_type, skol5, uri_owl_Restriction
% 0.72/1.10 ) }.
% 0.72/1.10 (258) {G0,W4,D2,L1,V0,M1} { iext( uri_owl_onProperty, skol5,
% 0.72/1.10 uri_ex_hasAncestor ) }.
% 0.72/1.10 (259) {G0,W6,D3,L1,V0,M1} { iext( uri_owl_minCardinality, skol5,
% 0.72/1.10 literal_typed( dat_str_1, uri_xsd_nonNegativeInteger ) ) }.
% 0.72/1.10 (260) {G0,W4,D2,L1,V0,M1} { iext( uri_rdf_type, uri_ex_alice,
% 0.72/1.10 uri_ex_Person ) }.
% 0.72/1.10 (261) {G0,W4,D2,L1,V0,M1} { iext( uri_rdf_type, uri_ex_bob, uri_ex_Person
% 0.72/1.10 ) }.
% 0.72/1.10 (262) {G0,W4,D2,L1,V0,M1} { iext( uri_ex_hasAncestor, uri_ex_alice,
% 0.72/1.10 uri_ex_bob ) }.
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Total Proof:
% 0.72/1.10
% 0.72/1.10 subsumption: (0) {G0,W8,D2,L2,V2,M1} I { icext( Y, X ), ! iext(
% 0.72/1.10 uri_rdf_type, X, Y ) }.
% 0.72/1.10 parent0: (232) {G0,W8,D2,L2,V2,M2} { ! iext( uri_rdf_type, X, Y ), icext(
% 0.72/1.10 Y, X ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := X
% 0.72/1.10 Y := Y
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 1
% 0.72/1.10 1 ==> 0
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (2) {G0,W22,D3,L4,V3,M1} I { ! icext( X, Z ), ! iext(
% 0.72/1.10 uri_owl_onProperty, X, Y ), iext( Y, Z, skol1( Y, Z ) ), ! iext(
% 0.72/1.10 uri_owl_minCardinality, X, literal_typed( dat_str_1,
% 0.72/1.10 uri_xsd_nonNegativeInteger ) ) }.
% 0.72/1.10 parent0: (234) {G0,W22,D3,L4,V3,M4} { ! iext( uri_owl_minCardinality, X,
% 0.72/1.10 literal_typed( dat_str_1, uri_xsd_nonNegativeInteger ) ), ! iext(
% 0.72/1.10 uri_owl_onProperty, X, Y ), ! icext( X, Z ), iext( Y, Z, skol1( Y, Z ) )
% 0.72/1.10 }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := X
% 0.72/1.10 Y := Y
% 0.72/1.10 Z := Z
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 3
% 0.72/1.10 1 ==> 1
% 0.72/1.10 2 ==> 0
% 0.72/1.10 3 ==> 2
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (5) {G0,W8,D2,L2,V2,M1} I { alpha1( X, Y ), ! iext(
% 0.72/1.10 uri_rdfs_subClassOf, X, Y ) }.
% 0.72/1.10 parent0: (237) {G0,W8,D2,L2,V2,M2} { ! iext( uri_rdfs_subClassOf, X, Y ),
% 0.72/1.10 alpha1( X, Y ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := X
% 0.72/1.10 Y := Y
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 1
% 0.72/1.10 1 ==> 0
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (8) {G0,W7,D2,L2,V2,M1} I { alpha3( X, Y ), ! alpha1( X, Y )
% 0.72/1.10 }.
% 0.72/1.10 parent0: (240) {G0,W7,D2,L2,V2,M2} { ! alpha1( X, Y ), alpha3( X, Y ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := X
% 0.72/1.10 Y := Y
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 1
% 0.72/1.10 1 ==> 0
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (10) {G0,W11,D2,L3,V3,M1} I { ! alpha3( X, Y ), icext( Y, Z )
% 0.72/1.10 , ! icext( X, Z ) }.
% 0.72/1.10 parent0: (242) {G0,W11,D2,L3,V3,M3} { ! alpha3( X, Y ), ! icext( X, Z ),
% 0.72/1.10 icext( Y, Z ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := X
% 0.72/1.10 Y := Y
% 0.72/1.10 Z := Z
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 0
% 0.72/1.10 1 ==> 2
% 0.72/1.10 2 ==> 1
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (14) {G0,W6,D2,L2,V1,M1} I { alpha2( X ), ! icext(
% 0.72/1.10 uri_owl_TransitiveProperty, X ) }.
% 0.72/1.10 parent0: (246) {G0,W6,D2,L2,V1,M2} { ! icext( uri_owl_TransitiveProperty,
% 0.72/1.10 X ), alpha2( X ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := X
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 1
% 0.72/1.10 1 ==> 0
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (16) {G0,W12,D2,L3,V3,M1} I { ! alpha4( X, Y, Z ), iext( X, Y
% 0.72/1.10 , Z ), ! alpha2( X ) }.
% 0.72/1.10 parent0: (248) {G0,W12,D2,L3,V3,M3} { ! alpha2( X ), ! alpha4( X, Y, Z ),
% 0.72/1.10 iext( X, Y, Z ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := X
% 0.72/1.10 Y := Y
% 0.72/1.10 Z := Z
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 2
% 0.72/1.10 1 ==> 0
% 0.72/1.10 2 ==> 1
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (21) {G0,W14,D2,L3,V4,M1} I { ! iext( X, Y, T ), alpha4( X, Y
% 0.72/1.10 , Z ), ! iext( X, T, Z ) }.
% 0.72/1.10 parent0: (253) {G0,W14,D2,L3,V4,M3} { ! iext( X, Y, T ), ! iext( X, T, Z )
% 0.72/1.10 , alpha4( X, Y, Z ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := X
% 0.72/1.10 Y := Y
% 0.72/1.10 Z := Z
% 0.72/1.10 T := T
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 0
% 0.72/1.10 1 ==> 2
% 0.72/1.10 2 ==> 1
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (22) {G0,W10,D2,L2,V1,M1} I { ! iext( uri_ex_hasAncestor,
% 0.72/1.10 uri_ex_alice, X ), ! iext( uri_ex_hasAncestor, uri_ex_bob, X ) }.
% 0.72/1.10 parent0: (254) {G0,W10,D2,L2,V1,M2} { ! iext( uri_ex_hasAncestor,
% 0.72/1.10 uri_ex_bob, X ), ! iext( uri_ex_hasAncestor, uri_ex_alice, X ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := X
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 1
% 0.72/1.10 1 ==> 0
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (23) {G0,W4,D2,L1,V0,M1} I { iext( uri_rdf_type,
% 0.72/1.10 uri_ex_hasAncestor, uri_owl_TransitiveProperty ) }.
% 0.72/1.10 parent0: (255) {G0,W4,D2,L1,V0,M1} { iext( uri_rdf_type,
% 0.72/1.10 uri_ex_hasAncestor, uri_owl_TransitiveProperty ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 0
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (24) {G0,W4,D2,L1,V0,M1} I { iext( uri_rdfs_subClassOf,
% 0.72/1.10 uri_ex_Person, skol5 ) }.
% 0.72/1.10 parent0: (256) {G0,W4,D2,L1,V0,M1} { iext( uri_rdfs_subClassOf,
% 0.72/1.10 uri_ex_Person, skol5 ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 0
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (26) {G0,W4,D2,L1,V0,M1} I { iext( uri_owl_onProperty, skol5,
% 0.72/1.10 uri_ex_hasAncestor ) }.
% 0.72/1.10 parent0: (258) {G0,W4,D2,L1,V0,M1} { iext( uri_owl_onProperty, skol5,
% 0.72/1.10 uri_ex_hasAncestor ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 0
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (27) {G0,W6,D3,L1,V0,M1} I { iext( uri_owl_minCardinality,
% 0.72/1.10 skol5, literal_typed( dat_str_1, uri_xsd_nonNegativeInteger ) ) }.
% 0.72/1.10 parent0: (259) {G0,W6,D3,L1,V0,M1} { iext( uri_owl_minCardinality, skol5,
% 0.72/1.10 literal_typed( dat_str_1, uri_xsd_nonNegativeInteger ) ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 0
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (29) {G0,W4,D2,L1,V0,M1} I { iext( uri_rdf_type, uri_ex_bob,
% 0.72/1.10 uri_ex_Person ) }.
% 0.72/1.10 parent0: (261) {G0,W4,D2,L1,V0,M1} { iext( uri_rdf_type, uri_ex_bob,
% 0.72/1.10 uri_ex_Person ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 0
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (30) {G0,W4,D2,L1,V0,M1} I { iext( uri_ex_hasAncestor,
% 0.72/1.10 uri_ex_alice, uri_ex_bob ) }.
% 0.72/1.10 parent0: (262) {G0,W4,D2,L1,V0,M1} { iext( uri_ex_hasAncestor,
% 0.72/1.10 uri_ex_alice, uri_ex_bob ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 0
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 resolution: (297) {G1,W3,D2,L1,V0,M1} { icext( uri_ex_Person, uri_ex_bob )
% 0.72/1.10 }.
% 0.72/1.10 parent0[1]: (0) {G0,W8,D2,L2,V2,M1} I { icext( Y, X ), ! iext( uri_rdf_type
% 0.72/1.10 , X, Y ) }.
% 0.72/1.10 parent1[0]: (29) {G0,W4,D2,L1,V0,M1} I { iext( uri_rdf_type, uri_ex_bob,
% 0.72/1.10 uri_ex_Person ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := uri_ex_bob
% 0.72/1.10 Y := uri_ex_Person
% 0.72/1.10 end
% 0.72/1.10 substitution1:
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (36) {G1,W3,D2,L1,V0,M1} R(0,29) { icext( uri_ex_Person,
% 0.72/1.10 uri_ex_bob ) }.
% 0.72/1.10 parent0: (297) {G1,W3,D2,L1,V0,M1} { icext( uri_ex_Person, uri_ex_bob )
% 0.72/1.10 }.
% 0.72/1.10 substitution0:
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 0
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 resolution: (298) {G1,W3,D2,L1,V0,M1} { icext( uri_owl_TransitiveProperty
% 0.72/1.10 , uri_ex_hasAncestor ) }.
% 0.72/1.10 parent0[1]: (0) {G0,W8,D2,L2,V2,M1} I { icext( Y, X ), ! iext( uri_rdf_type
% 0.72/1.10 , X, Y ) }.
% 0.72/1.10 parent1[0]: (23) {G0,W4,D2,L1,V0,M1} I { iext( uri_rdf_type,
% 0.72/1.10 uri_ex_hasAncestor, uri_owl_TransitiveProperty ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := uri_ex_hasAncestor
% 0.72/1.10 Y := uri_owl_TransitiveProperty
% 0.72/1.10 end
% 0.72/1.10 substitution1:
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (37) {G1,W3,D2,L1,V0,M1} R(23,0) { icext(
% 0.72/1.10 uri_owl_TransitiveProperty, uri_ex_hasAncestor ) }.
% 0.72/1.10 parent0: (298) {G1,W3,D2,L1,V0,M1} { icext( uri_owl_TransitiveProperty,
% 0.72/1.10 uri_ex_hasAncestor ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 0
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 resolution: (299) {G1,W2,D2,L1,V0,M1} { alpha2( uri_ex_hasAncestor ) }.
% 0.72/1.10 parent0[1]: (14) {G0,W6,D2,L2,V1,M1} I { alpha2( X ), ! icext(
% 0.72/1.10 uri_owl_TransitiveProperty, X ) }.
% 0.72/1.10 parent1[0]: (37) {G1,W3,D2,L1,V0,M1} R(23,0) { icext(
% 0.72/1.10 uri_owl_TransitiveProperty, uri_ex_hasAncestor ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := uri_ex_hasAncestor
% 0.72/1.10 end
% 0.72/1.10 substitution1:
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (38) {G2,W2,D2,L1,V0,M1} R(14,37) { alpha2( uri_ex_hasAncestor
% 0.72/1.10 ) }.
% 0.72/1.10 parent0: (299) {G1,W2,D2,L1,V0,M1} { alpha2( uri_ex_hasAncestor ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 0
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 resolution: (300) {G1,W15,D3,L3,V2,M3} { ! icext( skol5, X ), ! iext(
% 0.72/1.10 uri_owl_onProperty, skol5, Y ), iext( Y, X, skol1( Y, X ) ) }.
% 0.72/1.10 parent0[3]: (2) {G0,W22,D3,L4,V3,M1} I { ! icext( X, Z ), ! iext(
% 0.72/1.10 uri_owl_onProperty, X, Y ), iext( Y, Z, skol1( Y, Z ) ), ! iext(
% 0.72/1.10 uri_owl_minCardinality, X, literal_typed( dat_str_1,
% 0.72/1.10 uri_xsd_nonNegativeInteger ) ) }.
% 0.72/1.10 parent1[0]: (27) {G0,W6,D3,L1,V0,M1} I { iext( uri_owl_minCardinality,
% 0.72/1.10 skol5, literal_typed( dat_str_1, uri_xsd_nonNegativeInteger ) ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := skol5
% 0.72/1.10 Y := Y
% 0.72/1.10 Z := X
% 0.72/1.10 end
% 0.72/1.10 substitution1:
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (40) {G1,W15,D3,L3,V2,M1} R(27,2) { ! icext( skol5, X ), iext
% 0.72/1.10 ( Y, X, skol1( Y, X ) ), ! iext( uri_owl_onProperty, skol5, Y ) }.
% 0.72/1.10 parent0: (300) {G1,W15,D3,L3,V2,M3} { ! icext( skol5, X ), ! iext(
% 0.72/1.10 uri_owl_onProperty, skol5, Y ), iext( Y, X, skol1( Y, X ) ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := X
% 0.72/1.10 Y := Y
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 0
% 0.72/1.10 1 ==> 2
% 0.72/1.10 2 ==> 1
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 resolution: (301) {G1,W3,D2,L1,V0,M1} { alpha1( uri_ex_Person, skol5 ) }.
% 0.72/1.10 parent0[1]: (5) {G0,W8,D2,L2,V2,M1} I { alpha1( X, Y ), ! iext(
% 0.72/1.10 uri_rdfs_subClassOf, X, Y ) }.
% 0.72/1.10 parent1[0]: (24) {G0,W4,D2,L1,V0,M1} I { iext( uri_rdfs_subClassOf,
% 0.72/1.10 uri_ex_Person, skol5 ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := uri_ex_Person
% 0.72/1.10 Y := skol5
% 0.72/1.10 end
% 0.72/1.10 substitution1:
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (50) {G1,W3,D2,L1,V0,M1} R(5,24) { alpha1( uri_ex_Person,
% 0.72/1.10 skol5 ) }.
% 0.72/1.10 parent0: (301) {G1,W3,D2,L1,V0,M1} { alpha1( uri_ex_Person, skol5 ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 0
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 resolution: (302) {G1,W3,D2,L1,V0,M1} { alpha3( uri_ex_Person, skol5 ) }.
% 0.72/1.10 parent0[1]: (8) {G0,W7,D2,L2,V2,M1} I { alpha3( X, Y ), ! alpha1( X, Y )
% 0.72/1.10 }.
% 0.72/1.10 parent1[0]: (50) {G1,W3,D2,L1,V0,M1} R(5,24) { alpha1( uri_ex_Person, skol5
% 0.72/1.10 ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := uri_ex_Person
% 0.72/1.10 Y := skol5
% 0.72/1.10 end
% 0.72/1.10 substitution1:
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (52) {G2,W3,D2,L1,V0,M1} R(50,8) { alpha3( uri_ex_Person,
% 0.72/1.10 skol5 ) }.
% 0.72/1.10 parent0: (302) {G1,W3,D2,L1,V0,M1} { alpha3( uri_ex_Person, skol5 ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 0
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 resolution: (303) {G1,W7,D2,L2,V1,M2} { ! alpha3( uri_ex_Person, X ),
% 0.72/1.10 icext( X, uri_ex_bob ) }.
% 0.72/1.10 parent0[2]: (10) {G0,W11,D2,L3,V3,M1} I { ! alpha3( X, Y ), icext( Y, Z ),
% 0.72/1.10 ! icext( X, Z ) }.
% 0.72/1.10 parent1[0]: (36) {G1,W3,D2,L1,V0,M1} R(0,29) { icext( uri_ex_Person,
% 0.72/1.10 uri_ex_bob ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := uri_ex_Person
% 0.72/1.10 Y := X
% 0.72/1.10 Z := uri_ex_bob
% 0.72/1.10 end
% 0.72/1.10 substitution1:
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (60) {G2,W7,D2,L2,V1,M1} R(10,36) { icext( X, uri_ex_bob ), !
% 0.72/1.10 alpha3( uri_ex_Person, X ) }.
% 0.72/1.10 parent0: (303) {G1,W7,D2,L2,V1,M2} { ! alpha3( uri_ex_Person, X ), icext(
% 0.72/1.10 X, uri_ex_bob ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := X
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 1
% 0.72/1.10 1 ==> 0
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 resolution: (304) {G3,W3,D2,L1,V0,M1} { icext( skol5, uri_ex_bob ) }.
% 0.72/1.10 parent0[1]: (60) {G2,W7,D2,L2,V1,M1} R(10,36) { icext( X, uri_ex_bob ), !
% 0.72/1.10 alpha3( uri_ex_Person, X ) }.
% 0.72/1.10 parent1[0]: (52) {G2,W3,D2,L1,V0,M1} R(50,8) { alpha3( uri_ex_Person, skol5
% 0.72/1.10 ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := skol5
% 0.72/1.10 end
% 0.72/1.10 substitution1:
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (65) {G3,W3,D2,L1,V0,M1} R(60,52) { icext( skol5, uri_ex_bob )
% 0.72/1.10 }.
% 0.72/1.10 parent0: (304) {G3,W3,D2,L1,V0,M1} { icext( skol5, uri_ex_bob ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 0
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 resolution: (305) {G1,W9,D2,L2,V2,M2} { ! alpha4( uri_ex_hasAncestor, X, Y
% 0.72/1.10 ), iext( uri_ex_hasAncestor, X, Y ) }.
% 0.72/1.10 parent0[2]: (16) {G0,W12,D2,L3,V3,M1} I { ! alpha4( X, Y, Z ), iext( X, Y,
% 0.72/1.10 Z ), ! alpha2( X ) }.
% 0.72/1.10 parent1[0]: (38) {G2,W2,D2,L1,V0,M1} R(14,37) { alpha2( uri_ex_hasAncestor
% 0.72/1.10 ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := uri_ex_hasAncestor
% 0.72/1.10 Y := X
% 0.72/1.10 Z := Y
% 0.72/1.10 end
% 0.72/1.10 substitution1:
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (79) {G3,W9,D2,L2,V2,M1} R(16,38) { iext( uri_ex_hasAncestor,
% 0.72/1.10 X, Y ), ! alpha4( uri_ex_hasAncestor, X, Y ) }.
% 0.72/1.10 parent0: (305) {G1,W9,D2,L2,V2,M2} { ! alpha4( uri_ex_hasAncestor, X, Y )
% 0.72/1.10 , iext( uri_ex_hasAncestor, X, Y ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := X
% 0.72/1.10 Y := Y
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 1
% 0.72/1.10 1 ==> 0
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 resolution: (306) {G1,W10,D3,L2,V1,M2} { ! icext( skol5, X ), iext(
% 0.72/1.10 uri_ex_hasAncestor, X, skol1( uri_ex_hasAncestor, X ) ) }.
% 0.72/1.10 parent0[2]: (40) {G1,W15,D3,L3,V2,M1} R(27,2) { ! icext( skol5, X ), iext(
% 0.72/1.10 Y, X, skol1( Y, X ) ), ! iext( uri_owl_onProperty, skol5, Y ) }.
% 0.72/1.10 parent1[0]: (26) {G0,W4,D2,L1,V0,M1} I { iext( uri_owl_onProperty, skol5,
% 0.72/1.10 uri_ex_hasAncestor ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := X
% 0.72/1.10 Y := uri_ex_hasAncestor
% 0.72/1.10 end
% 0.72/1.10 substitution1:
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (160) {G2,W10,D3,L2,V1,M1} R(40,26) { iext( uri_ex_hasAncestor
% 0.72/1.10 , X, skol1( uri_ex_hasAncestor, X ) ), ! icext( skol5, X ) }.
% 0.72/1.10 parent0: (306) {G1,W10,D3,L2,V1,M2} { ! icext( skol5, X ), iext(
% 0.72/1.10 uri_ex_hasAncestor, X, skol1( uri_ex_hasAncestor, X ) ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := X
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 1
% 0.72/1.10 1 ==> 0
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 resolution: (307) {G3,W6,D3,L1,V0,M1} { iext( uri_ex_hasAncestor,
% 0.72/1.10 uri_ex_bob, skol1( uri_ex_hasAncestor, uri_ex_bob ) ) }.
% 0.72/1.10 parent0[1]: (160) {G2,W10,D3,L2,V1,M1} R(40,26) { iext( uri_ex_hasAncestor
% 0.72/1.10 , X, skol1( uri_ex_hasAncestor, X ) ), ! icext( skol5, X ) }.
% 0.72/1.10 parent1[0]: (65) {G3,W3,D2,L1,V0,M1} R(60,52) { icext( skol5, uri_ex_bob )
% 0.72/1.10 }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := uri_ex_bob
% 0.72/1.10 end
% 0.72/1.10 substitution1:
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (216) {G4,W6,D3,L1,V0,M1} R(160,65) { iext( uri_ex_hasAncestor
% 0.72/1.10 , uri_ex_bob, skol1( uri_ex_hasAncestor, uri_ex_bob ) ) }.
% 0.72/1.10 parent0: (307) {G3,W6,D3,L1,V0,M1} { iext( uri_ex_hasAncestor, uri_ex_bob
% 0.72/1.10 , skol1( uri_ex_hasAncestor, uri_ex_bob ) ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 0
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 resolution: (308) {G1,W7,D3,L1,V0,M1} { ! iext( uri_ex_hasAncestor,
% 0.72/1.10 uri_ex_alice, skol1( uri_ex_hasAncestor, uri_ex_bob ) ) }.
% 0.72/1.10 parent0[1]: (22) {G0,W10,D2,L2,V1,M1} I { ! iext( uri_ex_hasAncestor,
% 0.72/1.10 uri_ex_alice, X ), ! iext( uri_ex_hasAncestor, uri_ex_bob, X ) }.
% 0.72/1.10 parent1[0]: (216) {G4,W6,D3,L1,V0,M1} R(160,65) { iext( uri_ex_hasAncestor
% 0.72/1.10 , uri_ex_bob, skol1( uri_ex_hasAncestor, uri_ex_bob ) ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := skol1( uri_ex_hasAncestor, uri_ex_bob )
% 0.72/1.10 end
% 0.72/1.10 substitution1:
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (218) {G5,W7,D3,L1,V0,M1} R(216,22) { ! iext(
% 0.72/1.10 uri_ex_hasAncestor, uri_ex_alice, skol1( uri_ex_hasAncestor, uri_ex_bob )
% 0.72/1.10 ) }.
% 0.72/1.10 parent0: (308) {G1,W7,D3,L1,V0,M1} { ! iext( uri_ex_hasAncestor,
% 0.72/1.10 uri_ex_alice, skol1( uri_ex_hasAncestor, uri_ex_bob ) ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 0
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 resolution: (310) {G1,W11,D3,L2,V1,M2} { ! iext( uri_ex_hasAncestor, X,
% 0.72/1.10 uri_ex_bob ), alpha4( uri_ex_hasAncestor, X, skol1( uri_ex_hasAncestor,
% 0.72/1.10 uri_ex_bob ) ) }.
% 0.72/1.10 parent0[2]: (21) {G0,W14,D2,L3,V4,M1} I { ! iext( X, Y, T ), alpha4( X, Y,
% 0.72/1.10 Z ), ! iext( X, T, Z ) }.
% 0.72/1.10 parent1[0]: (216) {G4,W6,D3,L1,V0,M1} R(160,65) { iext( uri_ex_hasAncestor
% 0.72/1.10 , uri_ex_bob, skol1( uri_ex_hasAncestor, uri_ex_bob ) ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := uri_ex_hasAncestor
% 0.72/1.10 Y := X
% 0.72/1.10 Z := skol1( uri_ex_hasAncestor, uri_ex_bob )
% 0.72/1.10 T := uri_ex_bob
% 0.72/1.10 end
% 0.72/1.10 substitution1:
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (219) {G5,W11,D3,L2,V1,M1} R(216,21) { alpha4(
% 0.72/1.10 uri_ex_hasAncestor, X, skol1( uri_ex_hasAncestor, uri_ex_bob ) ), ! iext
% 0.72/1.10 ( uri_ex_hasAncestor, X, uri_ex_bob ) }.
% 0.72/1.10 parent0: (310) {G1,W11,D3,L2,V1,M2} { ! iext( uri_ex_hasAncestor, X,
% 0.72/1.10 uri_ex_bob ), alpha4( uri_ex_hasAncestor, X, skol1( uri_ex_hasAncestor,
% 0.72/1.10 uri_ex_bob ) ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := X
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 1
% 0.72/1.10 1 ==> 0
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 resolution: (311) {G1,W6,D3,L1,V0,M1} { alpha4( uri_ex_hasAncestor,
% 0.72/1.10 uri_ex_alice, skol1( uri_ex_hasAncestor, uri_ex_bob ) ) }.
% 0.72/1.10 parent0[1]: (219) {G5,W11,D3,L2,V1,M1} R(216,21) { alpha4(
% 0.72/1.10 uri_ex_hasAncestor, X, skol1( uri_ex_hasAncestor, uri_ex_bob ) ), ! iext
% 0.72/1.10 ( uri_ex_hasAncestor, X, uri_ex_bob ) }.
% 0.72/1.10 parent1[0]: (30) {G0,W4,D2,L1,V0,M1} I { iext( uri_ex_hasAncestor,
% 0.72/1.10 uri_ex_alice, uri_ex_bob ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := uri_ex_alice
% 0.72/1.10 end
% 0.72/1.10 substitution1:
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (226) {G6,W6,D3,L1,V0,M1} R(219,30) { alpha4(
% 0.72/1.10 uri_ex_hasAncestor, uri_ex_alice, skol1( uri_ex_hasAncestor, uri_ex_bob )
% 0.72/1.10 ) }.
% 0.72/1.10 parent0: (311) {G1,W6,D3,L1,V0,M1} { alpha4( uri_ex_hasAncestor,
% 0.72/1.10 uri_ex_alice, skol1( uri_ex_hasAncestor, uri_ex_bob ) ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 0 ==> 0
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 resolution: (312) {G4,W6,D3,L1,V0,M1} { iext( uri_ex_hasAncestor,
% 0.72/1.10 uri_ex_alice, skol1( uri_ex_hasAncestor, uri_ex_bob ) ) }.
% 0.72/1.10 parent0[1]: (79) {G3,W9,D2,L2,V2,M1} R(16,38) { iext( uri_ex_hasAncestor, X
% 0.72/1.10 , Y ), ! alpha4( uri_ex_hasAncestor, X, Y ) }.
% 0.72/1.10 parent1[0]: (226) {G6,W6,D3,L1,V0,M1} R(219,30) { alpha4(
% 0.72/1.10 uri_ex_hasAncestor, uri_ex_alice, skol1( uri_ex_hasAncestor, uri_ex_bob )
% 0.72/1.10 ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 X := uri_ex_alice
% 0.72/1.10 Y := skol1( uri_ex_hasAncestor, uri_ex_bob )
% 0.72/1.10 end
% 0.72/1.10 substitution1:
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 resolution: (313) {G5,W0,D0,L0,V0,M0} { }.
% 0.72/1.10 parent0[0]: (218) {G5,W7,D3,L1,V0,M1} R(216,22) { ! iext(
% 0.72/1.10 uri_ex_hasAncestor, uri_ex_alice, skol1( uri_ex_hasAncestor, uri_ex_bob )
% 0.72/1.10 ) }.
% 0.72/1.10 parent1[0]: (312) {G4,W6,D3,L1,V0,M1} { iext( uri_ex_hasAncestor,
% 0.72/1.10 uri_ex_alice, skol1( uri_ex_hasAncestor, uri_ex_bob ) ) }.
% 0.72/1.10 substitution0:
% 0.72/1.10 end
% 0.72/1.10 substitution1:
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 subsumption: (230) {G7,W0,D0,L0,V0,M0} R(226,79);r(218) { }.
% 0.72/1.10 parent0: (313) {G5,W0,D0,L0,V0,M0} { }.
% 0.72/1.10 substitution0:
% 0.72/1.10 end
% 0.72/1.10 permutation0:
% 0.72/1.10 end
% 0.72/1.10
% 0.72/1.10 Proof check complete!
% 0.72/1.10
% 0.72/1.10 Memory use:
% 0.72/1.10
% 0.72/1.10 space for terms: 2817
% 0.72/1.10 space for clauses: 12540
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 clauses generated: 296
% 0.72/1.10 clauses kept: 231
% 0.72/1.10 clauses selected: 147
% 0.72/1.10 clauses deleted: 0
% 0.72/1.10 clauses inuse deleted: 0
% 0.72/1.10
% 0.72/1.10 subsentry: 247
% 0.72/1.10 literals s-matched: 131
% 0.72/1.10 literals matched: 127
% 0.72/1.10 full subsumption: 9
% 0.72/1.10
% 0.72/1.10 checksum: -643862270
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Bliksem ended
%------------------------------------------------------------------------------