%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : TOP002-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 : Thu Jul 21 21:20:15 EDT 2022
% Result : Unsatisfiable 0.65s 1.05s
% Output : Refutation 0.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : TOP002-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : bliksem %s
% 0.11/0.33 % Computer : n029.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 % DateTime : Sun May 29 08:00:28 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.65/1.05 *** allocated 10000 integers for termspace/termends
% 0.65/1.05 *** allocated 10000 integers for clauses
% 0.65/1.05 *** allocated 10000 integers for justifications
% 0.65/1.05 Bliksem 1.12
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 Automatic Strategy Selection
% 0.65/1.05
% 0.65/1.05 Clauses:
% 0.65/1.05 [
% 0.65/1.05 [ 'element_of_collection'( X, 'top_of_basis'( Y ) ), 'element_of_set'(
% 0.65/1.05 f11( Y, X ), X ) ],
% 0.65/1.05 [ ~( 'element_of_set'( X, 'empty_set' ) ) ],
% 0.65/1.05 [ ~( 'element_of_collection'( 'empty_set', 'top_of_basis'( f ) ) ) ]
% 0.65/1.05 ] .
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 percentage equality = 0.000000, percentage horn = 0.666667
% 0.65/1.05 This a non-horn, non-equality problem
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 Options Used:
% 0.65/1.05
% 0.65/1.05 useres = 1
% 0.65/1.05 useparamod = 0
% 0.65/1.05 useeqrefl = 0
% 0.65/1.05 useeqfact = 0
% 0.65/1.05 usefactor = 1
% 0.65/1.05 usesimpsplitting = 0
% 0.65/1.05 usesimpdemod = 0
% 0.65/1.05 usesimpres = 3
% 0.65/1.05
% 0.65/1.05 resimpinuse = 1000
% 0.65/1.05 resimpclauses = 20000
% 0.65/1.05 substype = standard
% 0.65/1.05 backwardsubs = 1
% 0.65/1.05 selectoldest = 5
% 0.65/1.05
% 0.65/1.05 litorderings [0] = split
% 0.65/1.05 litorderings [1] = liftord
% 0.65/1.05
% 0.65/1.05 termordering = none
% 0.65/1.05
% 0.65/1.05 litapriori = 1
% 0.65/1.05 termapriori = 0
% 0.65/1.05 litaposteriori = 0
% 0.65/1.05 termaposteriori = 0
% 0.65/1.05 demodaposteriori = 0
% 0.65/1.05 ordereqreflfact = 0
% 0.65/1.05
% 0.65/1.05 litselect = none
% 0.65/1.05
% 0.65/1.05 maxweight = 15
% 0.65/1.05 maxdepth = 30000
% 0.65/1.05 maxlength = 115
% 0.65/1.05 maxnrvars = 195
% 0.65/1.05 excuselevel = 1
% 0.65/1.05 increasemaxweight = 1
% 0.65/1.05
% 0.65/1.05 maxselected = 10000000
% 0.65/1.05 maxnrclauses = 10000000
% 0.65/1.05
% 0.65/1.05 showgenerated = 0
% 0.65/1.05 showkept = 0
% 0.65/1.05 showselected = 0
% 0.65/1.05 showdeleted = 0
% 0.65/1.05 showresimp = 1
% 0.65/1.05 showstatus = 2000
% 0.65/1.05
% 0.65/1.05 prologoutput = 1
% 0.65/1.05 nrgoals = 5000000
% 0.65/1.05 totalproof = 1
% 0.65/1.05
% 0.65/1.05 Symbols occurring in the translation:
% 0.65/1.05
% 0.65/1.05 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.65/1.05 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.65/1.05 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.65/1.05 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.65/1.05 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.65/1.05 'top_of_basis' [41, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.65/1.05 'element_of_collection' [42, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.65/1.05 f11 [43, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.65/1.05 'element_of_set' [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.65/1.05 'empty_set' [46, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.65/1.05 f [47, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 Starting Search:
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 Bliksems!, er is een bewijs:
% 0.65/1.05 % SZS status Unsatisfiable
% 0.65/1.05 % SZS output start Refutation
% 0.65/1.05
% 0.65/1.05 clause( 0, [ 'element_of_collection'( X, 'top_of_basis'( Y ) ),
% 0.65/1.05 'element_of_set'( f11( Y, X ), X ) ] )
% 0.65/1.05 .
% 0.65/1.05 clause( 1, [ ~( 'element_of_set'( X, 'empty_set' ) ) ] )
% 0.65/1.05 .
% 0.65/1.05 clause( 2, [ ~( 'element_of_collection'( 'empty_set', 'top_of_basis'( f ) )
% 0.65/1.05 ) ] )
% 0.65/1.05 .
% 0.65/1.05 clause( 3, [ 'element_of_collection'( 'empty_set', 'top_of_basis'( X ) ) ]
% 0.65/1.05 )
% 0.65/1.05 .
% 0.65/1.05 clause( 4, [] )
% 0.65/1.05 .
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 % SZS output end Refutation
% 0.65/1.05 found a proof!
% 0.65/1.05
% 0.65/1.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.65/1.05
% 0.65/1.05 initialclauses(
% 0.65/1.05 [ clause( 6, [ 'element_of_collection'( X, 'top_of_basis'( Y ) ),
% 0.65/1.05 'element_of_set'( f11( Y, X ), X ) ] )
% 0.65/1.05 , clause( 7, [ ~( 'element_of_set'( X, 'empty_set' ) ) ] )
% 0.65/1.05 , clause( 8, [ ~( 'element_of_collection'( 'empty_set', 'top_of_basis'( f )
% 0.65/1.05 ) ) ] )
% 0.65/1.05 ] ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 0, [ 'element_of_collection'( X, 'top_of_basis'( Y ) ),
% 0.65/1.05 'element_of_set'( f11( Y, X ), X ) ] )
% 0.65/1.05 , clause( 6, [ 'element_of_collection'( X, 'top_of_basis'( Y ) ),
% 0.65/1.05 'element_of_set'( f11( Y, X ), X ) ] )
% 0.65/1.05 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.65/1.05 ), ==>( 1, 1 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 1, [ ~( 'element_of_set'( X, 'empty_set' ) ) ] )
% 0.65/1.05 , clause( 7, [ ~( 'element_of_set'( X, 'empty_set' ) ) ] )
% 0.65/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 2, [ ~( 'element_of_collection'( 'empty_set', 'top_of_basis'( f ) )
% 0.65/1.05 ) ] )
% 0.65/1.05 , clause( 8, [ ~( 'element_of_collection'( 'empty_set', 'top_of_basis'( f )
% 0.65/1.05 ) ) ] )
% 0.65/1.05 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 resolution(
% 0.65/1.05 clause( 9, [ 'element_of_collection'( 'empty_set', 'top_of_basis'( X ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , clause( 1, [ ~( 'element_of_set'( X, 'empty_set' ) ) ] )
% 0.65/1.05 , 0, clause( 0, [ 'element_of_collection'( X, 'top_of_basis'( Y ) ),
% 0.65/1.05 'element_of_set'( f11( Y, X ), X ) ] )
% 0.65/1.05 , 1, substitution( 0, [ :=( X, f11( X, 'empty_set' ) )] ), substitution( 1
% 0.65/1.05 , [ :=( X, 'empty_set' ), :=( Y, X )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 3, [ 'element_of_collection'( 'empty_set', 'top_of_basis'( X ) ) ]
% 0.65/1.05 )
% 0.65/1.05 , clause( 9, [ 'element_of_collection'( 'empty_set', 'top_of_basis'( X ) )
% 0.65/1.05 ] )
% 0.65/1.05 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 resolution(
% 0.65/1.05 clause( 10, [] )
% 0.65/1.05 , clause( 2, [ ~( 'element_of_collection'( 'empty_set', 'top_of_basis'( f )
% 0.65/1.05 ) ) ] )
% 0.65/1.05 , 0, clause( 3, [ 'element_of_collection'( 'empty_set', 'top_of_basis'( X )
% 0.65/1.05 ) ] )
% 0.65/1.05 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, f )] )).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 subsumption(
% 0.65/1.05 clause( 4, [] )
% 0.65/1.05 , clause( 10, [] )
% 0.65/1.05 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 end.
% 0.65/1.05
% 0.65/1.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.65/1.05
% 0.65/1.05 Memory use:
% 0.65/1.05
% 0.65/1.05 space for terms: 79
% 0.65/1.05 space for clauses: 308
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 clauses generated: 5
% 0.65/1.05 clauses kept: 5
% 0.65/1.05 clauses selected: 4
% 0.65/1.05 clauses deleted: 0
% 0.65/1.05 clauses inuse deleted: 0
% 0.65/1.05
% 0.65/1.05 subsentry: 0
% 0.65/1.05 literals s-matched: 0
% 0.65/1.05 literals matched: 0
% 0.65/1.05 full subsumption: 0
% 0.65/1.05
% 0.65/1.05 checksum: -545341662
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 Bliksem ended
%------------------------------------------------------------------------------