TSTP Solution File: LAT045-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LAT045-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 : Sun Jul 17 03:48:32 EDT 2022
% Result : Unsatisfiable 0.70s 1.08s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT045-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n023.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 : Wed Jun 29 21:32:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.70/1.08 *** allocated 10000 integers for termspace/termends
% 0.70/1.08 *** allocated 10000 integers for clauses
% 0.70/1.08 *** allocated 10000 integers for justifications
% 0.70/1.08 Bliksem 1.12
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Automatic Strategy Selection
% 0.70/1.08
% 0.70/1.08 Clauses:
% 0.70/1.08 [
% 0.70/1.08 [ =( meet( X, X ), X ) ],
% 0.70/1.08 [ =( join( X, X ), X ) ],
% 0.70/1.08 [ =( meet( X, join( X, Y ) ), X ) ],
% 0.70/1.08 [ =( join( X, meet( X, Y ) ), X ) ],
% 0.70/1.08 [ =( meet( X, Y ), meet( Y, X ) ) ],
% 0.70/1.08 [ =( join( X, Y ), join( Y, X ) ) ],
% 0.70/1.08 [ =( meet( meet( X, Y ), Z ), meet( X, meet( Y, Z ) ) ) ],
% 0.70/1.08 [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) ) ],
% 0.70/1.08 [ =( complement( join( X, Y ) ), meet( complement( X ), complement( Y )
% 0.70/1.08 ) ) ],
% 0.70/1.08 [ =( complement( meet( X, Y ) ), join( complement( X ), complement( Y )
% 0.70/1.08 ) ) ],
% 0.70/1.08 [ =( join( complement( X ), X ), n1 ) ],
% 0.70/1.08 [ =( meet( complement( X ), X ), n0 ) ],
% 0.70/1.08 [ =( complement( complement( X ) ), X ) ],
% 0.70/1.08 [ =( join( X, meet( Y, join( X, Z ) ) ), meet( join( X, Y ), join( X, Z
% 0.70/1.08 ) ) ) ],
% 0.70/1.08 [ ~( =( join( a, meet( complement( a ), join( a, b ) ) ), join( a, b ) )
% 0.70/1.08 ) ]
% 0.70/1.08 ] .
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 percentage equality = 1.000000, percentage horn = 1.000000
% 0.70/1.08 This is a pure equality problem
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Options Used:
% 0.70/1.08
% 0.70/1.08 useres = 1
% 0.70/1.08 useparamod = 1
% 0.70/1.08 useeqrefl = 1
% 0.70/1.08 useeqfact = 1
% 0.70/1.08 usefactor = 1
% 0.70/1.08 usesimpsplitting = 0
% 0.70/1.08 usesimpdemod = 5
% 0.70/1.08 usesimpres = 3
% 0.70/1.08
% 0.70/1.08 resimpinuse = 1000
% 0.70/1.08 resimpclauses = 20000
% 0.70/1.08 substype = eqrewr
% 0.70/1.08 backwardsubs = 1
% 0.70/1.08 selectoldest = 5
% 0.70/1.08
% 0.70/1.08 litorderings [0] = split
% 0.70/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.70/1.08
% 0.70/1.08 termordering = kbo
% 0.70/1.08
% 0.70/1.08 litapriori = 0
% 0.70/1.08 termapriori = 1
% 0.70/1.08 litaposteriori = 0
% 0.70/1.08 termaposteriori = 0
% 0.70/1.08 demodaposteriori = 0
% 0.70/1.08 ordereqreflfact = 0
% 0.70/1.08
% 0.70/1.08 litselect = negord
% 0.70/1.08
% 0.70/1.08 maxweight = 15
% 0.70/1.08 maxdepth = 30000
% 0.70/1.08 maxlength = 115
% 0.70/1.08 maxnrvars = 195
% 0.70/1.08 excuselevel = 1
% 0.70/1.08 increasemaxweight = 1
% 0.70/1.08
% 0.70/1.08 maxselected = 10000000
% 0.70/1.08 maxnrclauses = 10000000
% 0.70/1.08
% 0.70/1.08 showgenerated = 0
% 0.70/1.08 showkept = 0
% 0.70/1.08 showselected = 0
% 0.70/1.08 showdeleted = 0
% 0.70/1.08 showresimp = 1
% 0.70/1.08 showstatus = 2000
% 0.70/1.08
% 0.70/1.08 prologoutput = 1
% 0.70/1.08 nrgoals = 5000000
% 0.70/1.08 totalproof = 1
% 0.70/1.08
% 0.70/1.08 Symbols occurring in the translation:
% 0.70/1.08
% 0.70/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.08 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.70/1.08 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.70/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.08 meet [40, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.70/1.08 join [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.70/1.08 complement [44, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.70/1.08 n1 [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.70/1.08 n0 [46, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.70/1.08 a [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.70/1.08 b [48, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Starting Search:
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Bliksems!, er is een bewijs:
% 0.70/1.08 % SZS status Unsatisfiable
% 0.70/1.08 % SZS output start Refutation
% 0.70/1.08
% 0.70/1.08 clause( 2, [ =( meet( X, join( X, Y ) ), X ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 4, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 10, [ =( join( complement( X ), X ), n1 ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 12, [ =( complement( complement( X ) ), X ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 13, [ =( join( X, meet( Y, join( X, Z ) ) ), meet( join( X, Y ),
% 0.70/1.08 join( X, Z ) ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 14, [ ~( =( meet( join( a, complement( a ) ), join( a, b ) ), join(
% 0.70/1.08 a, b ) ) ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 17, [ =( join( X, complement( X ) ), n1 ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 18, [ =( meet( X, n1 ), X ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 26, [ =( meet( n1, X ), X ) ] )
% 0.70/1.08 .
% 0.70/1.08 clause( 130, [] )
% 0.70/1.08 .
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 % SZS output end Refutation
% 0.70/1.08 found a proof!
% 0.70/1.08
% 0.70/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.08
% 0.70/1.08 initialclauses(
% 0.70/1.08 [ clause( 132, [ =( meet( X, X ), X ) ] )
% 0.70/1.08 , clause( 133, [ =( join( X, X ), X ) ] )
% 0.70/1.08 , clause( 134, [ =( meet( X, join( X, Y ) ), X ) ] )
% 0.70/1.08 , clause( 135, [ =( join( X, meet( X, Y ) ), X ) ] )
% 0.70/1.08 , clause( 136, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 0.70/1.08 , clause( 137, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.70/1.08 , clause( 138, [ =( meet( meet( X, Y ), Z ), meet( X, meet( Y, Z ) ) ) ] )
% 0.70/1.08 , clause( 139, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) ) ] )
% 0.70/1.08 , clause( 140, [ =( complement( join( X, Y ) ), meet( complement( X ),
% 0.70/1.08 complement( Y ) ) ) ] )
% 0.70/1.08 , clause( 141, [ =( complement( meet( X, Y ) ), join( complement( X ),
% 0.70/1.08 complement( Y ) ) ) ] )
% 0.70/1.08 , clause( 142, [ =( join( complement( X ), X ), n1 ) ] )
% 0.70/1.08 , clause( 143, [ =( meet( complement( X ), X ), n0 ) ] )
% 0.70/1.08 , clause( 144, [ =( complement( complement( X ) ), X ) ] )
% 0.70/1.08 , clause( 145, [ =( join( X, meet( Y, join( X, Z ) ) ), meet( join( X, Y )
% 0.70/1.08 , join( X, Z ) ) ) ] )
% 0.70/1.08 , clause( 146, [ ~( =( join( a, meet( complement( a ), join( a, b ) ) ),
% 0.70/1.08 join( a, b ) ) ) ] )
% 0.70/1.08 ] ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 2, [ =( meet( X, join( X, Y ) ), X ) ] )
% 0.70/1.08 , clause( 134, [ =( meet( X, join( X, Y ) ), X ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.08 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 4, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 0.70/1.08 , clause( 136, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.08 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 10, [ =( join( complement( X ), X ), n1 ) ] )
% 0.70/1.08 , clause( 142, [ =( join( complement( X ), X ), n1 ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 12, [ =( complement( complement( X ) ), X ) ] )
% 0.70/1.08 , clause( 144, [ =( complement( complement( X ) ), X ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 13, [ =( join( X, meet( Y, join( X, Z ) ) ), meet( join( X, Y ),
% 0.70/1.08 join( X, Z ) ) ) ] )
% 0.70/1.08 , clause( 145, [ =( join( X, meet( Y, join( X, Z ) ) ), meet( join( X, Y )
% 0.70/1.08 , join( X, Z ) ) ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.70/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 216, [ ~( =( meet( join( a, complement( a ) ), join( a, b ) ), join(
% 0.70/1.08 a, b ) ) ) ] )
% 0.70/1.08 , clause( 13, [ =( join( X, meet( Y, join( X, Z ) ) ), meet( join( X, Y ),
% 0.70/1.08 join( X, Z ) ) ) ] )
% 0.70/1.08 , 0, clause( 146, [ ~( =( join( a, meet( complement( a ), join( a, b ) ) )
% 0.70/1.08 , join( a, b ) ) ) ] )
% 0.70/1.08 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, complement( a ) ), :=( Z, b )] )
% 0.70/1.08 , substitution( 1, [] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 14, [ ~( =( meet( join( a, complement( a ) ), join( a, b ) ), join(
% 0.70/1.08 a, b ) ) ) ] )
% 0.70/1.08 , clause( 216, [ ~( =( meet( join( a, complement( a ) ), join( a, b ) ),
% 0.70/1.08 join( a, b ) ) ) ] )
% 0.70/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 219, [ =( n1, join( complement( X ), X ) ) ] )
% 0.70/1.08 , clause( 10, [ =( join( complement( X ), X ), n1 ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 220, [ =( n1, join( X, complement( X ) ) ) ] )
% 0.70/1.08 , clause( 12, [ =( complement( complement( X ) ), X ) ] )
% 0.70/1.08 , 0, clause( 219, [ =( n1, join( complement( X ), X ) ) ] )
% 0.70/1.08 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.70/1.08 complement( X ) )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 221, [ =( join( X, complement( X ) ), n1 ) ] )
% 0.70/1.08 , clause( 220, [ =( n1, join( X, complement( X ) ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 17, [ =( join( X, complement( X ) ), n1 ) ] )
% 0.70/1.08 , clause( 221, [ =( join( X, complement( X ) ), n1 ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 223, [ =( X, meet( X, join( X, Y ) ) ) ] )
% 0.70/1.08 , clause( 2, [ =( meet( X, join( X, Y ) ), X ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 224, [ =( X, meet( X, n1 ) ) ] )
% 0.70/1.08 , clause( 17, [ =( join( X, complement( X ) ), n1 ) ] )
% 0.70/1.08 , 0, clause( 223, [ =( X, meet( X, join( X, Y ) ) ) ] )
% 0.70/1.08 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.70/1.08 :=( Y, complement( X ) )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 225, [ =( meet( X, n1 ), X ) ] )
% 0.70/1.08 , clause( 224, [ =( X, meet( X, n1 ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 18, [ =( meet( X, n1 ), X ) ] )
% 0.70/1.08 , clause( 225, [ =( meet( X, n1 ), X ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 226, [ =( X, meet( X, n1 ) ) ] )
% 0.70/1.08 , clause( 18, [ =( meet( X, n1 ), X ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 227, [ =( X, meet( n1, X ) ) ] )
% 0.70/1.08 , clause( 4, [ =( meet( X, Y ), meet( Y, X ) ) ] )
% 0.70/1.08 , 0, clause( 226, [ =( X, meet( X, n1 ) ) ] )
% 0.70/1.08 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, n1 )] ), substitution( 1, [
% 0.70/1.08 :=( X, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqswap(
% 0.70/1.08 clause( 230, [ =( meet( n1, X ), X ) ] )
% 0.70/1.08 , clause( 227, [ =( X, meet( n1, X ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [ :=( X, X )] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 26, [ =( meet( n1, X ), X ) ] )
% 0.70/1.08 , clause( 230, [ =( meet( n1, X ), X ) ] )
% 0.70/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 234, [ ~( =( meet( n1, join( a, b ) ), join( a, b ) ) ) ] )
% 0.70/1.08 , clause( 17, [ =( join( X, complement( X ) ), n1 ) ] )
% 0.70/1.08 , 0, clause( 14, [ ~( =( meet( join( a, complement( a ) ), join( a, b ) ),
% 0.70/1.08 join( a, b ) ) ) ] )
% 0.70/1.08 , 0, 3, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 paramod(
% 0.70/1.08 clause( 235, [ ~( =( join( a, b ), join( a, b ) ) ) ] )
% 0.70/1.08 , clause( 26, [ =( meet( n1, X ), X ) ] )
% 0.70/1.08 , 0, clause( 234, [ ~( =( meet( n1, join( a, b ) ), join( a, b ) ) ) ] )
% 0.70/1.08 , 0, 2, substitution( 0, [ :=( X, join( a, b ) )] ), substitution( 1, [] )
% 0.70/1.08 ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 eqrefl(
% 0.70/1.08 clause( 236, [] )
% 0.70/1.08 , clause( 235, [ ~( =( join( a, b ), join( a, b ) ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 130, [] )
% 0.70/1.08 , clause( 236, [] )
% 0.70/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 end.
% 0.70/1.08
% 0.70/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.08
% 0.70/1.08 Memory use:
% 0.70/1.08
% 0.70/1.08 space for terms: 1610
% 0.70/1.08 space for clauses: 13230
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 clauses generated: 937
% 0.70/1.08 clauses kept: 131
% 0.70/1.08 clauses selected: 42
% 0.70/1.08 clauses deleted: 4
% 0.70/1.08 clauses inuse deleted: 0
% 0.70/1.08
% 0.70/1.08 subsentry: 413
% 0.70/1.08 literals s-matched: 208
% 0.70/1.08 literals matched: 208
% 0.70/1.08 full subsumption: 0
% 0.70/1.08
% 0.70/1.08 checksum: 1379823046
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Bliksem ended
%------------------------------------------------------------------------------