TSTP Solution File: SET573+3 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET573+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 22:50:21 EDT 2022
% Result : Theorem 0.44s 1.08s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET573+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n018.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 : Sun Jul 10 05:59:27 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.44/1.08 *** allocated 10000 integers for termspace/termends
% 0.44/1.08 *** allocated 10000 integers for clauses
% 0.44/1.08 *** allocated 10000 integers for justifications
% 0.44/1.08 Bliksem 1.12
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 Automatic Strategy Selection
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 Clauses:
% 0.44/1.08
% 0.44/1.08 { ! intersect( X, Y ), member( skol1( Z, Y ), Y ) }.
% 0.44/1.08 { ! intersect( X, Y ), member( skol1( X, Y ), X ) }.
% 0.44/1.08 { ! member( Z, X ), ! member( Z, Y ), intersect( X, Y ) }.
% 0.44/1.08 { ! disjoint( X, Y ), ! intersect( X, Y ) }.
% 0.44/1.08 { intersect( X, Y ), disjoint( X, Y ) }.
% 0.44/1.08 { ! intersect( X, Y ), intersect( Y, X ) }.
% 0.44/1.08 { member( skol2, skol4 ) }.
% 0.44/1.08 { disjoint( skol4, skol3 ) }.
% 0.44/1.08 { member( skol2, skol3 ) }.
% 0.44/1.08
% 0.44/1.08 percentage equality = 0.000000, percentage horn = 0.888889
% 0.44/1.08 This a non-horn, non-equality problem
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 Options Used:
% 0.44/1.08
% 0.44/1.08 useres = 1
% 0.44/1.08 useparamod = 0
% 0.44/1.08 useeqrefl = 0
% 0.44/1.08 useeqfact = 0
% 0.44/1.08 usefactor = 1
% 0.44/1.08 usesimpsplitting = 0
% 0.44/1.08 usesimpdemod = 0
% 0.44/1.08 usesimpres = 3
% 0.44/1.08
% 0.44/1.08 resimpinuse = 1000
% 0.44/1.08 resimpclauses = 20000
% 0.44/1.08 substype = standard
% 0.44/1.08 backwardsubs = 1
% 0.44/1.08 selectoldest = 5
% 0.44/1.08
% 0.44/1.08 litorderings [0] = split
% 0.44/1.08 litorderings [1] = liftord
% 0.44/1.08
% 0.44/1.08 termordering = none
% 0.44/1.08
% 0.44/1.08 litapriori = 1
% 0.44/1.08 termapriori = 0
% 0.44/1.08 litaposteriori = 0
% 0.44/1.08 termaposteriori = 0
% 0.44/1.08 demodaposteriori = 0
% 0.44/1.08 ordereqreflfact = 0
% 0.44/1.08
% 0.44/1.08 litselect = none
% 0.44/1.08
% 0.44/1.08 maxweight = 15
% 0.44/1.08 maxdepth = 30000
% 0.44/1.08 maxlength = 115
% 0.44/1.08 maxnrvars = 195
% 0.44/1.08 excuselevel = 1
% 0.44/1.08 increasemaxweight = 1
% 0.44/1.08
% 0.44/1.08 maxselected = 10000000
% 0.44/1.08 maxnrclauses = 10000000
% 0.44/1.08
% 0.44/1.08 showgenerated = 0
% 0.44/1.08 showkept = 0
% 0.44/1.08 showselected = 0
% 0.44/1.08 showdeleted = 0
% 0.44/1.08 showresimp = 1
% 0.44/1.08 showstatus = 2000
% 0.44/1.08
% 0.44/1.08 prologoutput = 0
% 0.44/1.08 nrgoals = 5000000
% 0.44/1.08 totalproof = 1
% 0.44/1.08
% 0.44/1.08 Symbols occurring in the translation:
% 0.44/1.08
% 0.44/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.08 . [1, 2] (w:1, o:17, a:1, s:1, b:0),
% 0.44/1.08 ! [4, 1] (w:0, o:12, a:1, s:1, b:0),
% 0.44/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.08 intersect [37, 2] (w:1, o:41, a:1, s:1, b:0),
% 0.44/1.08 member [39, 2] (w:1, o:42, a:1, s:1, b:0),
% 0.44/1.08 disjoint [40, 2] (w:1, o:43, a:1, s:1, b:0),
% 0.44/1.08 skol1 [41, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.44/1.08 skol2 [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.44/1.08 skol3 [43, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.44/1.08 skol4 [44, 0] (w:1, o:11, a:1, s:1, b:0).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 Starting Search:
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 Bliksems!, er is een bewijs:
% 0.44/1.08 % SZS status Theorem
% 0.44/1.08 % SZS output start Refutation
% 0.44/1.08
% 0.44/1.08 (2) {G0,W9,D2,L3,V3,M2} I { intersect( X, Y ), ! member( Z, X ), ! member(
% 0.44/1.08 Z, Y ) }.
% 0.44/1.08 (3) {G0,W6,D2,L2,V2,M1} I { ! intersect( X, Y ), ! disjoint( X, Y ) }.
% 0.44/1.08 (6) {G0,W3,D2,L1,V0,M1} I { member( skol2, skol4 ) }.
% 0.44/1.08 (7) {G0,W3,D2,L1,V0,M1} I { disjoint( skol4, skol3 ) }.
% 0.44/1.08 (8) {G0,W3,D2,L1,V0,M1} I { member( skol2, skol3 ) }.
% 0.44/1.08 (10) {G1,W3,D2,L1,V0,M1} R(3,7) { ! intersect( skol4, skol3 ) }.
% 0.44/1.08 (20) {G1,W6,D2,L2,V1,M1} R(2,6) { intersect( skol4, X ), ! member( skol2, X
% 0.44/1.08 ) }.
% 0.44/1.08 (24) {G2,W0,D0,L0,V0,M0} R(20,8);r(10) { }.
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 % SZS output end Refutation
% 0.44/1.08 found a proof!
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 Unprocessed initial clauses:
% 0.44/1.08
% 0.44/1.08 (26) {G0,W8,D3,L2,V3,M2} { ! intersect( X, Y ), member( skol1( Z, Y ), Y )
% 0.44/1.08 }.
% 0.44/1.08 (27) {G0,W8,D3,L2,V2,M2} { ! intersect( X, Y ), member( skol1( X, Y ), X )
% 0.44/1.08 }.
% 0.44/1.08 (28) {G0,W9,D2,L3,V3,M3} { ! member( Z, X ), ! member( Z, Y ), intersect(
% 0.44/1.08 X, Y ) }.
% 0.44/1.08 (29) {G0,W6,D2,L2,V2,M2} { ! disjoint( X, Y ), ! intersect( X, Y ) }.
% 0.44/1.08 (30) {G0,W6,D2,L2,V2,M2} { intersect( X, Y ), disjoint( X, Y ) }.
% 0.44/1.08 (31) {G0,W6,D2,L2,V2,M2} { ! intersect( X, Y ), intersect( Y, X ) }.
% 0.44/1.08 (32) {G0,W3,D2,L1,V0,M1} { member( skol2, skol4 ) }.
% 0.44/1.08 (33) {G0,W3,D2,L1,V0,M1} { disjoint( skol4, skol3 ) }.
% 0.44/1.08 (34) {G0,W3,D2,L1,V0,M1} { member( skol2, skol3 ) }.
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 Total Proof:
% 0.44/1.08
% 0.44/1.08 subsumption: (2) {G0,W9,D2,L3,V3,M2} I { intersect( X, Y ), ! member( Z, X
% 0.44/1.08 ), ! member( Z, Y ) }.
% 0.44/1.08 parent0: (28) {G0,W9,D2,L3,V3,M3} { ! member( Z, X ), ! member( Z, Y ),
% 0.44/1.08 intersect( X, Y ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := X
% 0.44/1.08 Y := Y
% 0.44/1.08 Z := Z
% 0.44/1.08 end
% 0.44/1.08 permutation0:
% 0.44/1.08 0 ==> 1
% 0.44/1.08 1 ==> 2
% 0.44/1.08 2 ==> 0
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 subsumption: (3) {G0,W6,D2,L2,V2,M1} I { ! intersect( X, Y ), ! disjoint( X
% 0.44/1.08 , Y ) }.
% 0.44/1.08 parent0: (29) {G0,W6,D2,L2,V2,M2} { ! disjoint( X, Y ), ! intersect( X, Y
% 0.44/1.08 ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := X
% 0.44/1.08 Y := Y
% 0.44/1.08 end
% 0.44/1.08 permutation0:
% 0.44/1.08 0 ==> 1
% 0.44/1.08 1 ==> 0
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 subsumption: (6) {G0,W3,D2,L1,V0,M1} I { member( skol2, skol4 ) }.
% 0.44/1.08 parent0: (32) {G0,W3,D2,L1,V0,M1} { member( skol2, skol4 ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 end
% 0.44/1.08 permutation0:
% 0.44/1.08 0 ==> 0
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 subsumption: (7) {G0,W3,D2,L1,V0,M1} I { disjoint( skol4, skol3 ) }.
% 0.44/1.08 parent0: (33) {G0,W3,D2,L1,V0,M1} { disjoint( skol4, skol3 ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 end
% 0.44/1.08 permutation0:
% 0.44/1.08 0 ==> 0
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 subsumption: (8) {G0,W3,D2,L1,V0,M1} I { member( skol2, skol3 ) }.
% 0.44/1.08 parent0: (34) {G0,W3,D2,L1,V0,M1} { member( skol2, skol3 ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 end
% 0.44/1.08 permutation0:
% 0.44/1.08 0 ==> 0
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 resolution: (40) {G1,W3,D2,L1,V0,M1} { ! intersect( skol4, skol3 ) }.
% 0.44/1.08 parent0[1]: (3) {G0,W6,D2,L2,V2,M1} I { ! intersect( X, Y ), ! disjoint( X
% 0.44/1.08 , Y ) }.
% 0.44/1.08 parent1[0]: (7) {G0,W3,D2,L1,V0,M1} I { disjoint( skol4, skol3 ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := skol4
% 0.44/1.08 Y := skol3
% 0.44/1.08 end
% 0.44/1.08 substitution1:
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 subsumption: (10) {G1,W3,D2,L1,V0,M1} R(3,7) { ! intersect( skol4, skol3 )
% 0.44/1.08 }.
% 0.44/1.08 parent0: (40) {G1,W3,D2,L1,V0,M1} { ! intersect( skol4, skol3 ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 end
% 0.44/1.08 permutation0:
% 0.44/1.08 0 ==> 0
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 resolution: (41) {G1,W6,D2,L2,V1,M2} { intersect( skol4, X ), ! member(
% 0.44/1.08 skol2, X ) }.
% 0.44/1.08 parent0[1]: (2) {G0,W9,D2,L3,V3,M2} I { intersect( X, Y ), ! member( Z, X )
% 0.44/1.08 , ! member( Z, Y ) }.
% 0.44/1.08 parent1[0]: (6) {G0,W3,D2,L1,V0,M1} I { member( skol2, skol4 ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := skol4
% 0.44/1.08 Y := X
% 0.44/1.08 Z := skol2
% 0.44/1.08 end
% 0.44/1.08 substitution1:
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 subsumption: (20) {G1,W6,D2,L2,V1,M1} R(2,6) { intersect( skol4, X ), !
% 0.44/1.08 member( skol2, X ) }.
% 0.44/1.08 parent0: (41) {G1,W6,D2,L2,V1,M2} { intersect( skol4, X ), ! member( skol2
% 0.44/1.08 , X ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := X
% 0.44/1.08 end
% 0.44/1.08 permutation0:
% 0.44/1.08 0 ==> 0
% 0.44/1.08 1 ==> 1
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 resolution: (43) {G1,W3,D2,L1,V0,M1} { intersect( skol4, skol3 ) }.
% 0.44/1.08 parent0[1]: (20) {G1,W6,D2,L2,V1,M1} R(2,6) { intersect( skol4, X ), !
% 0.44/1.08 member( skol2, X ) }.
% 0.44/1.08 parent1[0]: (8) {G0,W3,D2,L1,V0,M1} I { member( skol2, skol3 ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 X := skol3
% 0.44/1.08 end
% 0.44/1.08 substitution1:
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 resolution: (44) {G2,W0,D0,L0,V0,M0} { }.
% 0.44/1.08 parent0[0]: (10) {G1,W3,D2,L1,V0,M1} R(3,7) { ! intersect( skol4, skol3 )
% 0.44/1.08 }.
% 0.44/1.08 parent1[0]: (43) {G1,W3,D2,L1,V0,M1} { intersect( skol4, skol3 ) }.
% 0.44/1.08 substitution0:
% 0.44/1.08 end
% 0.44/1.08 substitution1:
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 subsumption: (24) {G2,W0,D0,L0,V0,M0} R(20,8);r(10) { }.
% 0.44/1.08 parent0: (44) {G2,W0,D0,L0,V0,M0} { }.
% 0.44/1.08 substitution0:
% 0.44/1.08 end
% 0.44/1.08 permutation0:
% 0.44/1.08 end
% 0.44/1.08
% 0.44/1.08 Proof check complete!
% 0.44/1.08
% 0.44/1.08 Memory use:
% 0.44/1.08
% 0.44/1.08 space for terms: 318
% 0.44/1.08 space for clauses: 1225
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 clauses generated: 46
% 0.44/1.08 clauses kept: 25
% 0.44/1.08 clauses selected: 17
% 0.44/1.08 clauses deleted: 0
% 0.44/1.08 clauses inuse deleted: 0
% 0.44/1.08
% 0.44/1.08 subsentry: 81
% 0.44/1.08 literals s-matched: 73
% 0.44/1.08 literals matched: 54
% 0.44/1.08 full subsumption: 0
% 0.44/1.08
% 0.44/1.08 checksum: -101989556
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 Bliksem ended
%------------------------------------------------------------------------------