%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : PHI010+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 : Mon Jul 18 16:43:06 EDT 2022
% Result : Theorem 0.70s 1.09s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PHI010+1 : TPTP v8.1.0. Released v7.2.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Thu Jun 2 01:05:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.70/1.09 *** allocated 10000 integers for termspace/termends
% 0.70/1.09 *** allocated 10000 integers for clauses
% 0.70/1.09 *** allocated 10000 integers for justifications
% 0.70/1.09 Bliksem 1.12
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Automatic Strategy Selection
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Clauses:
% 0.70/1.09
% 0.70/1.09 { ! object( X ), ! property( X ) }.
% 0.70/1.09 { ! exemplifies_property( Y, X ), property( Y ) }.
% 0.70/1.09 { ! exemplifies_property( Y, X ), object( X ) }.
% 0.70/1.09 { ! is_the( X, Y ), property( Y ) }.
% 0.70/1.09 { ! is_the( X, Y ), object( X ) }.
% 0.70/1.09 { ! property( X ), ! object( Y ), ! object( Z ), ! is_the( Y, X ), ! Y = Z
% 0.70/1.09 , alpha1( X, Z ) }.
% 0.70/1.09 { ! property( X ), ! object( Y ), ! object( Z ), ! alpha1( X, Z ), is_the(
% 0.70/1.09 Y, X ) }.
% 0.70/1.09 { ! property( X ), ! object( Y ), ! object( Z ), ! alpha1( X, Z ), Y = Z }
% 0.70/1.09 .
% 0.70/1.09 { ! alpha1( X, Y ), object( skol1( Z, T ) ) }.
% 0.70/1.09 { ! alpha1( X, Y ), alpha3( X, Y, skol1( X, Y ) ) }.
% 0.70/1.09 { ! object( Z ), ! alpha3( X, Y, Z ), alpha1( X, Y ) }.
% 0.70/1.09 { ! alpha3( X, Y, Z ), exemplifies_property( X, Z ) }.
% 0.70/1.09 { ! alpha3( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.70/1.09 { ! exemplifies_property( X, Z ), ! alpha5( X, Y, Z ), alpha3( X, Y, Z ) }
% 0.70/1.09 .
% 0.70/1.09 { ! alpha5( X, Y, Z ), alpha2( X, Z ) }.
% 0.70/1.09 { ! alpha5( X, Y, Z ), Z = Y }.
% 0.70/1.09 { ! alpha2( X, Z ), ! Z = Y, alpha5( X, Y, Z ) }.
% 0.70/1.09 { ! alpha2( X, Y ), ! object( Z ), alpha4( X, Y, Z ) }.
% 0.70/1.09 { object( skol2( Z, T ) ), alpha2( X, Y ) }.
% 0.70/1.09 { ! alpha4( X, Y, skol2( X, Y ) ), alpha2( X, Y ) }.
% 0.70/1.09 { ! alpha4( X, Y, Z ), ! exemplifies_property( X, Z ), Z = Y }.
% 0.70/1.09 { exemplifies_property( X, Z ), alpha4( X, Y, Z ) }.
% 0.70/1.09 { ! Z = Y, alpha4( X, Y, Z ) }.
% 0.70/1.09 { object( skol3 ) }.
% 0.70/1.09 { property( skol4 ) }.
% 0.70/1.09 { object( skol5 ) }.
% 0.70/1.09 { is_the( skol3, skol4 ) }.
% 0.70/1.09 { skol3 = skol5 }.
% 0.70/1.09 { ! exemplifies_property( skol4, skol5 ) }.
% 0.70/1.09
% 0.70/1.09 percentage equality = 0.104478, percentage horn = 0.931034
% 0.70/1.09 This is a problem with some equality
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Options Used:
% 0.70/1.09
% 0.70/1.09 useres = 1
% 0.70/1.09 useparamod = 1
% 0.70/1.09 useeqrefl = 1
% 0.70/1.09 useeqfact = 1
% 0.70/1.09 usefactor = 1
% 0.70/1.09 usesimpsplitting = 0
% 0.70/1.09 usesimpdemod = 5
% 0.70/1.09 usesimpres = 3
% 0.70/1.09
% 0.70/1.09 resimpinuse = 1000
% 0.70/1.09 resimpclauses = 20000
% 0.70/1.09 substype = eqrewr
% 0.70/1.09 backwardsubs = 1
% 0.70/1.09 selectoldest = 5
% 0.70/1.09
% 0.70/1.09 litorderings [0] = split
% 0.70/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.70/1.09
% 0.70/1.09 termordering = kbo
% 0.70/1.09
% 0.70/1.09 litapriori = 0
% 0.70/1.09 termapriori = 1
% 0.70/1.09 litaposteriori = 0
% 0.70/1.09 termaposteriori = 0
% 0.70/1.09 demodaposteriori = 0
% 0.70/1.09 ordereqreflfact = 0
% 0.70/1.09
% 0.70/1.09 litselect = negord
% 0.70/1.09
% 0.70/1.09 maxweight = 15
% 0.70/1.09 maxdepth = 30000
% 0.70/1.09 maxlength = 115
% 0.70/1.09 maxnrvars = 195
% 0.70/1.09 excuselevel = 1
% 0.70/1.09 increasemaxweight = 1
% 0.70/1.09
% 0.70/1.09 maxselected = 10000000
% 0.70/1.09 maxnrclauses = 10000000
% 0.70/1.09
% 0.70/1.09 showgenerated = 0
% 0.70/1.09 showkept = 0
% 0.70/1.09 showselected = 0
% 0.70/1.09 showdeleted = 0
% 0.70/1.09 showresimp = 1
% 0.70/1.09 showstatus = 2000
% 0.70/1.09
% 0.70/1.09 prologoutput = 0
% 0.70/1.09 nrgoals = 5000000
% 0.70/1.09 totalproof = 1
% 0.70/1.09
% 0.70/1.09 Symbols occurring in the translation:
% 0.70/1.09
% 0.70/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.09 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.70/1.09 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.70/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.09 object [36, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.70/1.09 property [37, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.70/1.09 exemplifies_property [39, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.70/1.09 is_the [40, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.70/1.09 alpha1 [44, 2] (w:1, o:47, a:1, s:1, b:1),
% 0.70/1.09 alpha2 [45, 2] (w:1, o:48, a:1, s:1, b:1),
% 0.70/1.09 alpha3 [46, 3] (w:1, o:51, a:1, s:1, b:1),
% 0.70/1.09 alpha4 [47, 3] (w:1, o:52, a:1, s:1, b:1),
% 0.70/1.09 alpha5 [48, 3] (w:1, o:53, a:1, s:1, b:1),
% 0.70/1.09 skol1 [49, 2] (w:1, o:49, a:1, s:1, b:1),
% 0.70/1.09 skol2 [50, 2] (w:1, o:50, a:1, s:1, b:1),
% 0.70/1.09 skol3 [51, 0] (w:1, o:11, a:1, s:1, b:1),
% 0.70/1.09 skol4 [52, 0] (w:1, o:12, a:1, s:1, b:1),
% 0.70/1.09 skol5 [53, 0] (w:1, o:13, a:1, s:1, b:1).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Starting Search:
% 0.70/1.09
% 0.70/1.09 *** allocated 15000 integers for clauses
% 0.70/1.09 *** allocated 22500 integers for clauses
% 0.70/1.09
% 0.70/1.09 Bliksems!, er is een bewijs:
% 0.70/1.09 % SZS status Theorem
% 0.70/1.09 % SZS output start Refutation
% 0.70/1.09
% 0.70/1.09 (5) {G0,W15,D2,L6,V3,M6} I { ! property( X ), ! object( Y ), ! object( Z )
% 0.70/1.09 , ! is_the( Y, X ), ! Y = Z, alpha1( X, Z ) }.
% 0.70/1.09 (9) {G0,W9,D3,L2,V2,M2} I { ! alpha1( X, Y ), alpha3( X, Y, skol1( X, Y ) )
% 0.70/1.09 }.
% 0.70/1.09 (11) {G0,W7,D2,L2,V3,M2} I { ! alpha3( X, Y, Z ), exemplifies_property( X,
% 0.70/1.09 Z ) }.
% 0.70/1.09 (12) {G0,W8,D2,L2,V3,M2} I { ! alpha3( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.70/1.09 (15) {G0,W7,D2,L2,V3,M2} I { ! alpha5( X, Y, Z ), Z = Y }.
% 0.70/1.09 (23) {G0,W2,D2,L1,V0,M1} I { object( skol3 ) }.
% 0.70/1.09 (24) {G0,W2,D2,L1,V0,M1} I { property( skol4 ) }.
% 0.70/1.09 (26) {G0,W3,D2,L1,V0,M1} I { is_the( skol3, skol4 ) }.
% 0.70/1.09 (27) {G0,W3,D2,L1,V0,M1} I { skol5 ==> skol3 }.
% 0.70/1.09 (28) {G1,W3,D2,L1,V0,M1} I;d(27) { ! exemplifies_property( skol4, skol3 )
% 0.70/1.09 }.
% 0.70/1.09 (54) {G1,W10,D2,L4,V1,M4} R(5,26);r(24) { ! object( skol3 ), ! object( X )
% 0.70/1.09 , ! skol3 = X, alpha1( skol4, X ) }.
% 0.70/1.09 (60) {G2,W3,D2,L1,V0,M1} F(54);q;r(23) { alpha1( skol4, skol3 ) }.
% 0.70/1.09 (136) {G3,W6,D3,L1,V0,M1} R(9,60) { alpha3( skol4, skol3, skol1( skol4,
% 0.70/1.09 skol3 ) ) }.
% 0.70/1.09 (159) {G4,W5,D3,L1,V0,M1} R(11,136) { exemplifies_property( skol4, skol1(
% 0.70/1.09 skol4, skol3 ) ) }.
% 0.70/1.09 (175) {G4,W6,D3,L1,V0,M1} R(12,136) { alpha5( skol4, skol3, skol1( skol4,
% 0.70/1.09 skol3 ) ) }.
% 0.70/1.09 (414) {G5,W5,D3,L1,V0,M1} R(175,15) { skol1( skol4, skol3 ) ==> skol3 }.
% 0.70/1.09 (419) {G6,W0,D0,L0,V0,M0} P(414,159);r(28) { }.
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 % SZS output end Refutation
% 0.70/1.09 found a proof!
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Unprocessed initial clauses:
% 0.70/1.09
% 0.70/1.09 (421) {G0,W4,D2,L2,V1,M2} { ! object( X ), ! property( X ) }.
% 0.70/1.09 (422) {G0,W5,D2,L2,V2,M2} { ! exemplifies_property( Y, X ), property( Y )
% 0.70/1.09 }.
% 0.70/1.09 (423) {G0,W5,D2,L2,V2,M2} { ! exemplifies_property( Y, X ), object( X )
% 0.70/1.09 }.
% 0.70/1.09 (424) {G0,W5,D2,L2,V2,M2} { ! is_the( X, Y ), property( Y ) }.
% 0.70/1.09 (425) {G0,W5,D2,L2,V2,M2} { ! is_the( X, Y ), object( X ) }.
% 0.70/1.09 (426) {G0,W15,D2,L6,V3,M6} { ! property( X ), ! object( Y ), ! object( Z )
% 0.70/1.09 , ! is_the( Y, X ), ! Y = Z, alpha1( X, Z ) }.
% 0.70/1.09 (427) {G0,W12,D2,L5,V3,M5} { ! property( X ), ! object( Y ), ! object( Z )
% 0.70/1.09 , ! alpha1( X, Z ), is_the( Y, X ) }.
% 0.70/1.09 (428) {G0,W12,D2,L5,V3,M5} { ! property( X ), ! object( Y ), ! object( Z )
% 0.70/1.09 , ! alpha1( X, Z ), Y = Z }.
% 0.70/1.09 (429) {G0,W7,D3,L2,V4,M2} { ! alpha1( X, Y ), object( skol1( Z, T ) ) }.
% 0.70/1.09 (430) {G0,W9,D3,L2,V2,M2} { ! alpha1( X, Y ), alpha3( X, Y, skol1( X, Y )
% 0.70/1.09 ) }.
% 0.70/1.09 (431) {G0,W9,D2,L3,V3,M3} { ! object( Z ), ! alpha3( X, Y, Z ), alpha1( X
% 0.70/1.09 , Y ) }.
% 0.70/1.09 (432) {G0,W7,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), exemplifies_property( X,
% 0.70/1.09 Z ) }.
% 0.70/1.09 (433) {G0,W8,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.70/1.09 (434) {G0,W11,D2,L3,V3,M3} { ! exemplifies_property( X, Z ), ! alpha5( X,
% 0.70/1.09 Y, Z ), alpha3( X, Y, Z ) }.
% 0.70/1.09 (435) {G0,W7,D2,L2,V3,M2} { ! alpha5( X, Y, Z ), alpha2( X, Z ) }.
% 0.70/1.09 (436) {G0,W7,D2,L2,V3,M2} { ! alpha5( X, Y, Z ), Z = Y }.
% 0.70/1.09 (437) {G0,W10,D2,L3,V3,M3} { ! alpha2( X, Z ), ! Z = Y, alpha5( X, Y, Z )
% 0.70/1.09 }.
% 0.70/1.09 (438) {G0,W9,D2,L3,V3,M3} { ! alpha2( X, Y ), ! object( Z ), alpha4( X, Y
% 0.70/1.09 , Z ) }.
% 0.70/1.09 (439) {G0,W7,D3,L2,V4,M2} { object( skol2( Z, T ) ), alpha2( X, Y ) }.
% 0.70/1.09 (440) {G0,W9,D3,L2,V2,M2} { ! alpha4( X, Y, skol2( X, Y ) ), alpha2( X, Y
% 0.70/1.09 ) }.
% 0.70/1.09 (441) {G0,W10,D2,L3,V3,M3} { ! alpha4( X, Y, Z ), ! exemplifies_property(
% 0.70/1.09 X, Z ), Z = Y }.
% 0.70/1.09 (442) {G0,W7,D2,L2,V3,M2} { exemplifies_property( X, Z ), alpha4( X, Y, Z
% 0.70/1.09 ) }.
% 0.70/1.09 (443) {G0,W7,D2,L2,V3,M2} { ! Z = Y, alpha4( X, Y, Z ) }.
% 0.70/1.09 (444) {G0,W2,D2,L1,V0,M1} { object( skol3 ) }.
% 0.70/1.09 (445) {G0,W2,D2,L1,V0,M1} { property( skol4 ) }.
% 0.70/1.09 (446) {G0,W2,D2,L1,V0,M1} { object( skol5 ) }.
% 0.70/1.09 (447) {G0,W3,D2,L1,V0,M1} { is_the( skol3, skol4 ) }.
% 0.70/1.09 (448) {G0,W3,D2,L1,V0,M1} { skol3 = skol5 }.
% 0.70/1.09 (449) {G0,W3,D2,L1,V0,M1} { ! exemplifies_property( skol4, skol5 ) }.
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Total Proof:
% 0.70/1.09
% 0.70/1.09 subsumption: (5) {G0,W15,D2,L6,V3,M6} I { ! property( X ), ! object( Y ), !
% 0.70/1.09 object( Z ), ! is_the( Y, X ), ! Y = Z, alpha1( X, Z ) }.
% 0.70/1.09 parent0: (426) {G0,W15,D2,L6,V3,M6} { ! property( X ), ! object( Y ), !
% 0.70/1.09 object( Z ), ! is_the( Y, X ), ! Y = Z, alpha1( X, Z ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 X := X
% 0.70/1.09 Y := Y
% 0.70/1.09 Z := Z
% 0.70/1.09 end
% 0.70/1.09 permutation0:
% 0.70/1.09 0 ==> 0
% 0.70/1.09 1 ==> 1
% 0.70/1.09 2 ==> 2
% 0.70/1.09 3 ==> 3
% 0.70/1.09 4 ==> 4
% 0.70/1.09 5 ==> 5
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 subsumption: (9) {G0,W9,D3,L2,V2,M2} I { ! alpha1( X, Y ), alpha3( X, Y,
% 0.70/1.09 skol1( X, Y ) ) }.
% 0.70/1.09 parent0: (430) {G0,W9,D3,L2,V2,M2} { ! alpha1( X, Y ), alpha3( X, Y, skol1
% 0.70/1.09 ( X, Y ) ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 X := X
% 0.70/1.09 Y := Y
% 0.70/1.09 end
% 0.70/1.09 permutation0:
% 0.70/1.09 0 ==> 0
% 0.70/1.09 1 ==> 1
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 subsumption: (11) {G0,W7,D2,L2,V3,M2} I { ! alpha3( X, Y, Z ),
% 0.70/1.09 exemplifies_property( X, Z ) }.
% 0.70/1.09 parent0: (432) {G0,W7,D2,L2,V3,M2} { ! alpha3( X, Y, Z ),
% 0.70/1.09 exemplifies_property( X, Z ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 X := X
% 0.70/1.09 Y := Y
% 0.70/1.09 Z := Z
% 0.70/1.09 end
% 0.70/1.09 permutation0:
% 0.70/1.09 0 ==> 0
% 0.70/1.09 1 ==> 1
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 subsumption: (12) {G0,W8,D2,L2,V3,M2} I { ! alpha3( X, Y, Z ), alpha5( X, Y
% 0.70/1.09 , Z ) }.
% 0.70/1.09 parent0: (433) {G0,W8,D2,L2,V3,M2} { ! alpha3( X, Y, Z ), alpha5( X, Y, Z
% 0.70/1.09 ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 X := X
% 0.70/1.09 Y := Y
% 0.70/1.09 Z := Z
% 0.70/1.09 end
% 0.70/1.09 permutation0:
% 0.70/1.09 0 ==> 0
% 0.70/1.09 1 ==> 1
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 subsumption: (15) {G0,W7,D2,L2,V3,M2} I { ! alpha5( X, Y, Z ), Z = Y }.
% 0.70/1.09 parent0: (436) {G0,W7,D2,L2,V3,M2} { ! alpha5( X, Y, Z ), Z = Y }.
% 0.70/1.09 substitution0:
% 0.70/1.09 X := X
% 0.70/1.09 Y := Y
% 0.70/1.09 Z := Z
% 0.70/1.09 end
% 0.70/1.09 permutation0:
% 0.70/1.09 0 ==> 0
% 0.70/1.09 1 ==> 1
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 subsumption: (23) {G0,W2,D2,L1,V0,M1} I { object( skol3 ) }.
% 0.70/1.09 parent0: (444) {G0,W2,D2,L1,V0,M1} { object( skol3 ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 end
% 0.70/1.09 permutation0:
% 0.70/1.09 0 ==> 0
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 subsumption: (24) {G0,W2,D2,L1,V0,M1} I { property( skol4 ) }.
% 0.70/1.09 parent0: (445) {G0,W2,D2,L1,V0,M1} { property( skol4 ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 end
% 0.70/1.09 permutation0:
% 0.70/1.09 0 ==> 0
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 subsumption: (26) {G0,W3,D2,L1,V0,M1} I { is_the( skol3, skol4 ) }.
% 0.70/1.09 parent0: (447) {G0,W3,D2,L1,V0,M1} { is_the( skol3, skol4 ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 end
% 0.70/1.09 permutation0:
% 0.70/1.09 0 ==> 0
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 eqswap: (509) {G0,W3,D2,L1,V0,M1} { skol5 = skol3 }.
% 0.70/1.09 parent0[0]: (448) {G0,W3,D2,L1,V0,M1} { skol3 = skol5 }.
% 0.70/1.09 substitution0:
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 subsumption: (27) {G0,W3,D2,L1,V0,M1} I { skol5 ==> skol3 }.
% 0.70/1.09 parent0: (509) {G0,W3,D2,L1,V0,M1} { skol5 = skol3 }.
% 0.70/1.09 substitution0:
% 0.70/1.09 end
% 0.70/1.09 permutation0:
% 0.70/1.09 0 ==> 0
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 paramod: (552) {G1,W3,D2,L1,V0,M1} { ! exemplifies_property( skol4, skol3
% 0.70/1.09 ) }.
% 0.70/1.09 parent0[0]: (27) {G0,W3,D2,L1,V0,M1} I { skol5 ==> skol3 }.
% 0.70/1.09 parent1[0; 3]: (449) {G0,W3,D2,L1,V0,M1} { ! exemplifies_property( skol4,
% 0.70/1.09 skol5 ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 end
% 0.70/1.09 substitution1:
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 subsumption: (28) {G1,W3,D2,L1,V0,M1} I;d(27) { ! exemplifies_property(
% 0.70/1.09 skol4, skol3 ) }.
% 0.70/1.09 parent0: (552) {G1,W3,D2,L1,V0,M1} { ! exemplifies_property( skol4, skol3
% 0.70/1.09 ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 end
% 0.70/1.09 permutation0:
% 0.70/1.09 0 ==> 0
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 eqswap: (553) {G0,W15,D2,L6,V3,M6} { ! Y = X, ! property( Z ), ! object( X
% 0.70/1.09 ), ! object( Y ), ! is_the( X, Z ), alpha1( Z, Y ) }.
% 0.70/1.09 parent0[4]: (5) {G0,W15,D2,L6,V3,M6} I { ! property( X ), ! object( Y ), !
% 0.70/1.09 object( Z ), ! is_the( Y, X ), ! Y = Z, alpha1( X, Z ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 X := Z
% 0.70/1.09 Y := X
% 0.70/1.09 Z := Y
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 resolution: (554) {G1,W12,D2,L5,V1,M5} { ! X = skol3, ! property( skol4 )
% 0.70/1.09 , ! object( skol3 ), ! object( X ), alpha1( skol4, X ) }.
% 0.70/1.09 parent0[4]: (553) {G0,W15,D2,L6,V3,M6} { ! Y = X, ! property( Z ), !
% 0.70/1.09 object( X ), ! object( Y ), ! is_the( X, Z ), alpha1( Z, Y ) }.
% 0.70/1.09 parent1[0]: (26) {G0,W3,D2,L1,V0,M1} I { is_the( skol3, skol4 ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 X := skol3
% 0.70/1.09 Y := X
% 0.70/1.09 Z := skol4
% 0.70/1.09 end
% 0.70/1.09 substitution1:
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 resolution: (557) {G1,W10,D2,L4,V1,M4} { ! X = skol3, ! object( skol3 ), !
% 0.70/1.09 object( X ), alpha1( skol4, X ) }.
% 0.70/1.09 parent0[1]: (554) {G1,W12,D2,L5,V1,M5} { ! X = skol3, ! property( skol4 )
% 0.70/1.09 , ! object( skol3 ), ! object( X ), alpha1( skol4, X ) }.
% 0.70/1.09 parent1[0]: (24) {G0,W2,D2,L1,V0,M1} I { property( skol4 ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 X := X
% 0.70/1.09 end
% 0.70/1.09 substitution1:
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 eqswap: (558) {G1,W10,D2,L4,V1,M4} { ! skol3 = X, ! object( skol3 ), !
% 0.70/1.09 object( X ), alpha1( skol4, X ) }.
% 0.70/1.09 parent0[0]: (557) {G1,W10,D2,L4,V1,M4} { ! X = skol3, ! object( skol3 ), !
% 0.70/1.09 object( X ), alpha1( skol4, X ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 X := X
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 subsumption: (54) {G1,W10,D2,L4,V1,M4} R(5,26);r(24) { ! object( skol3 ), !
% 0.70/1.09 object( X ), ! skol3 = X, alpha1( skol4, X ) }.
% 0.70/1.09 parent0: (558) {G1,W10,D2,L4,V1,M4} { ! skol3 = X, ! object( skol3 ), !
% 0.70/1.09 object( X ), alpha1( skol4, X ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 X := X
% 0.70/1.09 end
% 0.70/1.09 permutation0:
% 0.70/1.09 0 ==> 2
% 0.70/1.09 1 ==> 0
% 0.70/1.09 2 ==> 1
% 0.70/1.09 3 ==> 3
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 eqswap: (560) {G1,W10,D2,L4,V1,M4} { ! X = skol3, ! object( skol3 ), !
% 0.70/1.09 object( X ), alpha1( skol4, X ) }.
% 0.70/1.09 parent0[2]: (54) {G1,W10,D2,L4,V1,M4} R(5,26);r(24) { ! object( skol3 ), !
% 0.70/1.09 object( X ), ! skol3 = X, alpha1( skol4, X ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 X := X
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 factor: (561) {G1,W8,D2,L3,V0,M3} { ! skol3 = skol3, ! object( skol3 ),
% 0.70/1.09 alpha1( skol4, skol3 ) }.
% 0.70/1.09 parent0[1, 2]: (560) {G1,W10,D2,L4,V1,M4} { ! X = skol3, ! object( skol3 )
% 0.70/1.09 , ! object( X ), alpha1( skol4, X ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 X := skol3
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 eqrefl: (562) {G0,W5,D2,L2,V0,M2} { ! object( skol3 ), alpha1( skol4,
% 0.70/1.09 skol3 ) }.
% 0.70/1.09 parent0[0]: (561) {G1,W8,D2,L3,V0,M3} { ! skol3 = skol3, ! object( skol3 )
% 0.70/1.09 , alpha1( skol4, skol3 ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 resolution: (563) {G1,W3,D2,L1,V0,M1} { alpha1( skol4, skol3 ) }.
% 0.70/1.09 parent0[0]: (562) {G0,W5,D2,L2,V0,M2} { ! object( skol3 ), alpha1( skol4,
% 0.70/1.09 skol3 ) }.
% 0.70/1.09 parent1[0]: (23) {G0,W2,D2,L1,V0,M1} I { object( skol3 ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 end
% 0.70/1.09 substitution1:
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 subsumption: (60) {G2,W3,D2,L1,V0,M1} F(54);q;r(23) { alpha1( skol4, skol3
% 0.70/1.09 ) }.
% 0.70/1.09 parent0: (563) {G1,W3,D2,L1,V0,M1} { alpha1( skol4, skol3 ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 end
% 0.70/1.09 permutation0:
% 0.70/1.09 0 ==> 0
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 resolution: (564) {G1,W6,D3,L1,V0,M1} { alpha3( skol4, skol3, skol1( skol4
% 0.70/1.09 , skol3 ) ) }.
% 0.70/1.09 parent0[0]: (9) {G0,W9,D3,L2,V2,M2} I { ! alpha1( X, Y ), alpha3( X, Y,
% 0.70/1.09 skol1( X, Y ) ) }.
% 0.70/1.09 parent1[0]: (60) {G2,W3,D2,L1,V0,M1} F(54);q;r(23) { alpha1( skol4, skol3 )
% 0.70/1.09 }.
% 0.70/1.09 substitution0:
% 0.70/1.09 X := skol4
% 0.70/1.09 Y := skol3
% 0.70/1.09 end
% 0.70/1.09 substitution1:
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 subsumption: (136) {G3,W6,D3,L1,V0,M1} R(9,60) { alpha3( skol4, skol3,
% 0.70/1.09 skol1( skol4, skol3 ) ) }.
% 0.70/1.09 parent0: (564) {G1,W6,D3,L1,V0,M1} { alpha3( skol4, skol3, skol1( skol4,
% 0.70/1.09 skol3 ) ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 end
% 0.70/1.09 permutation0:
% 0.70/1.09 0 ==> 0
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 resolution: (565) {G1,W5,D3,L1,V0,M1} { exemplifies_property( skol4, skol1
% 0.70/1.09 ( skol4, skol3 ) ) }.
% 0.70/1.09 parent0[0]: (11) {G0,W7,D2,L2,V3,M2} I { ! alpha3( X, Y, Z ),
% 0.70/1.09 exemplifies_property( X, Z ) }.
% 0.70/1.09 parent1[0]: (136) {G3,W6,D3,L1,V0,M1} R(9,60) { alpha3( skol4, skol3, skol1
% 0.70/1.09 ( skol4, skol3 ) ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 X := skol4
% 0.70/1.09 Y := skol3
% 0.70/1.09 Z := skol1( skol4, skol3 )
% 0.70/1.09 end
% 0.70/1.09 substitution1:
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 subsumption: (159) {G4,W5,D3,L1,V0,M1} R(11,136) { exemplifies_property(
% 0.70/1.09 skol4, skol1( skol4, skol3 ) ) }.
% 0.70/1.09 parent0: (565) {G1,W5,D3,L1,V0,M1} { exemplifies_property( skol4, skol1(
% 0.70/1.09 skol4, skol3 ) ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 end
% 0.70/1.09 permutation0:
% 0.70/1.09 0 ==> 0
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 resolution: (566) {G1,W6,D3,L1,V0,M1} { alpha5( skol4, skol3, skol1( skol4
% 0.70/1.09 , skol3 ) ) }.
% 0.70/1.09 parent0[0]: (12) {G0,W8,D2,L2,V3,M2} I { ! alpha3( X, Y, Z ), alpha5( X, Y
% 0.70/1.09 , Z ) }.
% 0.70/1.09 parent1[0]: (136) {G3,W6,D3,L1,V0,M1} R(9,60) { alpha3( skol4, skol3, skol1
% 0.70/1.09 ( skol4, skol3 ) ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 X := skol4
% 0.70/1.09 Y := skol3
% 0.70/1.09 Z := skol1( skol4, skol3 )
% 0.70/1.09 end
% 0.70/1.09 substitution1:
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 subsumption: (175) {G4,W6,D3,L1,V0,M1} R(12,136) { alpha5( skol4, skol3,
% 0.70/1.09 skol1( skol4, skol3 ) ) }.
% 0.70/1.09 parent0: (566) {G1,W6,D3,L1,V0,M1} { alpha5( skol4, skol3, skol1( skol4,
% 0.70/1.09 skol3 ) ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 end
% 0.70/1.09 permutation0:
% 0.70/1.09 0 ==> 0
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 eqswap: (567) {G0,W7,D2,L2,V3,M2} { Y = X, ! alpha5( Z, Y, X ) }.
% 0.70/1.09 parent0[1]: (15) {G0,W7,D2,L2,V3,M2} I { ! alpha5( X, Y, Z ), Z = Y }.
% 0.70/1.09 substitution0:
% 0.70/1.09 X := Z
% 0.70/1.09 Y := Y
% 0.70/1.09 Z := X
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 resolution: (568) {G1,W5,D3,L1,V0,M1} { skol3 = skol1( skol4, skol3 ) }.
% 0.70/1.09 parent0[1]: (567) {G0,W7,D2,L2,V3,M2} { Y = X, ! alpha5( Z, Y, X ) }.
% 0.70/1.09 parent1[0]: (175) {G4,W6,D3,L1,V0,M1} R(12,136) { alpha5( skol4, skol3,
% 0.70/1.09 skol1( skol4, skol3 ) ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 X := skol1( skol4, skol3 )
% 0.70/1.09 Y := skol3
% 0.70/1.09 Z := skol4
% 0.70/1.09 end
% 0.70/1.09 substitution1:
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 eqswap: (569) {G1,W5,D3,L1,V0,M1} { skol1( skol4, skol3 ) = skol3 }.
% 0.70/1.09 parent0[0]: (568) {G1,W5,D3,L1,V0,M1} { skol3 = skol1( skol4, skol3 ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 subsumption: (414) {G5,W5,D3,L1,V0,M1} R(175,15) { skol1( skol4, skol3 )
% 0.70/1.09 ==> skol3 }.
% 0.70/1.09 parent0: (569) {G1,W5,D3,L1,V0,M1} { skol1( skol4, skol3 ) = skol3 }.
% 0.70/1.09 substitution0:
% 0.70/1.09 end
% 0.70/1.09 permutation0:
% 0.70/1.09 0 ==> 0
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 paramod: (571) {G5,W3,D2,L1,V0,M1} { exemplifies_property( skol4, skol3 )
% 0.70/1.09 }.
% 0.70/1.09 parent0[0]: (414) {G5,W5,D3,L1,V0,M1} R(175,15) { skol1( skol4, skol3 ) ==>
% 0.70/1.09 skol3 }.
% 0.70/1.09 parent1[0; 2]: (159) {G4,W5,D3,L1,V0,M1} R(11,136) { exemplifies_property(
% 0.70/1.09 skol4, skol1( skol4, skol3 ) ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 end
% 0.70/1.09 substitution1:
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 resolution: (572) {G2,W0,D0,L0,V0,M0} { }.
% 0.70/1.09 parent0[0]: (28) {G1,W3,D2,L1,V0,M1} I;d(27) { ! exemplifies_property(
% 0.70/1.09 skol4, skol3 ) }.
% 0.70/1.09 parent1[0]: (571) {G5,W3,D2,L1,V0,M1} { exemplifies_property( skol4, skol3
% 0.70/1.09 ) }.
% 0.70/1.09 substitution0:
% 0.70/1.09 end
% 0.70/1.09 substitution1:
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 subsumption: (419) {G6,W0,D0,L0,V0,M0} P(414,159);r(28) { }.
% 0.70/1.09 parent0: (572) {G2,W0,D0,L0,V0,M0} { }.
% 0.70/1.09 substitution0:
% 0.70/1.09 end
% 0.70/1.09 permutation0:
% 0.70/1.09 end
% 0.70/1.09
% 0.70/1.09 Proof check complete!
% 0.70/1.09
% 0.70/1.09 Memory use:
% 0.70/1.09
% 0.70/1.09 space for terms: 5089
% 0.70/1.09 space for clauses: 17615
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 clauses generated: 986
% 0.70/1.09 clauses kept: 420
% 0.70/1.09 clauses selected: 118
% 0.70/1.09 clauses deleted: 9
% 0.70/1.09 clauses inuse deleted: 0
% 0.70/1.09
% 0.70/1.09 subsentry: 2335
% 0.70/1.09 literals s-matched: 1974
% 0.70/1.09 literals matched: 1970
% 0.70/1.09 full subsumption: 491
% 0.70/1.09
% 0.70/1.09 checksum: 626997410
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Bliksem ended
%------------------------------------------------------------------------------