%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET044-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.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 22:46:04 EDT 2022
% Result : Unsatisfiable 0.45s 1.15s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET044-5 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jul 10 07:00:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.45/1.15 *** allocated 10000 integers for termspace/termends
% 0.45/1.15 *** allocated 10000 integers for clauses
% 0.45/1.15 *** allocated 10000 integers for justifications
% 0.45/1.15 Bliksem 1.12
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 Automatic Strategy Selection
% 0.45/1.15
% 0.45/1.15 Clauses:
% 0.45/1.15 [
% 0.45/1.15 [ ~( element( X, a ) ), element( X, X ) ],
% 0.45/1.15 [ ~( element( X, X ) ), element( X, a ) ],
% 0.45/1.15 [ ~( element( X, f( Y ) ) ), ~( element( X, Y ) ) ],
% 0.45/1.15 [ element( X, Y ), element( X, f( Y ) ) ]
% 0.45/1.15 ] .
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 percentage equality = 0.000000, percentage horn = 0.750000
% 0.45/1.15 This a non-horn, non-equality problem
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 Options Used:
% 0.45/1.15
% 0.45/1.15 useres = 1
% 0.45/1.15 useparamod = 0
% 0.45/1.15 useeqrefl = 0
% 0.45/1.15 useeqfact = 0
% 0.45/1.15 usefactor = 1
% 0.45/1.15 usesimpsplitting = 0
% 0.45/1.15 usesimpdemod = 0
% 0.45/1.15 usesimpres = 3
% 0.45/1.15
% 0.45/1.15 resimpinuse = 1000
% 0.45/1.15 resimpclauses = 20000
% 0.45/1.15 substype = standard
% 0.45/1.15 backwardsubs = 1
% 0.45/1.15 selectoldest = 5
% 0.45/1.15
% 0.45/1.15 litorderings [0] = split
% 0.45/1.15 litorderings [1] = liftord
% 0.45/1.15
% 0.45/1.15 termordering = none
% 0.45/1.15
% 0.45/1.15 litapriori = 1
% 0.45/1.15 termapriori = 0
% 0.45/1.15 litaposteriori = 0
% 0.45/1.15 termaposteriori = 0
% 0.45/1.15 demodaposteriori = 0
% 0.45/1.15 ordereqreflfact = 0
% 0.45/1.15
% 0.45/1.15 litselect = none
% 0.45/1.15
% 0.45/1.15 maxweight = 15
% 0.45/1.15 maxdepth = 30000
% 0.45/1.15 maxlength = 115
% 0.45/1.15 maxnrvars = 195
% 0.45/1.15 excuselevel = 1
% 0.45/1.15 increasemaxweight = 1
% 0.45/1.15
% 0.45/1.15 maxselected = 10000000
% 0.45/1.15 maxnrclauses = 10000000
% 0.45/1.15
% 0.45/1.15 showgenerated = 0
% 0.45/1.15 showkept = 0
% 0.45/1.15 showselected = 0
% 0.45/1.15 showdeleted = 0
% 0.45/1.15 showresimp = 1
% 0.45/1.15 showstatus = 2000
% 0.45/1.15
% 0.45/1.15 prologoutput = 1
% 0.45/1.15 nrgoals = 5000000
% 0.45/1.15 totalproof = 1
% 0.45/1.15
% 0.45/1.15 Symbols occurring in the translation:
% 0.45/1.15
% 0.45/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.45/1.15 . [1, 2] (w:1, o:18, a:1, s:1, b:0),
% 0.45/1.15 ! [4, 1] (w:0, o:12, a:1, s:1, b:0),
% 0.45/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.15 a [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.45/1.15 element [41, 2] (w:1, o:43, a:1, s:1, b:0),
% 0.45/1.15 f [43, 1] (w:1, o:17, a:1, s:1, b:0).
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 Starting Search:
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 Bliksems!, er is een bewijs:
% 0.45/1.15 % SZS status Unsatisfiable
% 0.45/1.15 % SZS output start Refutation
% 0.45/1.15
% 0.45/1.15 clause( 0, [ element( X, X ), ~( element( X, a ) ) ] )
% 0.45/1.15 .
% 0.45/1.15 clause( 1, [ element( X, a ), ~( element( X, X ) ) ] )
% 0.45/1.15 .
% 0.45/1.15 clause( 2, [ ~( element( X, Y ) ), ~( element( X, f( Y ) ) ) ] )
% 0.45/1.15 .
% 0.45/1.15 clause( 3, [ element( X, f( Y ) ), element( X, Y ) ] )
% 0.45/1.15 .
% 0.45/1.15 clause( 4, [ element( X, X ), element( X, f( a ) ) ] )
% 0.45/1.15 .
% 0.45/1.15 clause( 5, [ element( f( X ), a ), element( f( X ), X ) ] )
% 0.45/1.15 .
% 0.45/1.15 clause( 7, [ element( f( a ), a ) ] )
% 0.45/1.15 .
% 0.45/1.15 clause( 8, [ element( f( a ), f( a ) ) ] )
% 0.45/1.15 .
% 0.45/1.15 clause( 10, [] )
% 0.45/1.15 .
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 % SZS output end Refutation
% 0.45/1.15 found a proof!
% 0.45/1.15
% 0.45/1.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.15
% 0.45/1.15 initialclauses(
% 0.45/1.15 [ clause( 12, [ ~( element( X, a ) ), element( X, X ) ] )
% 0.45/1.15 , clause( 13, [ ~( element( X, X ) ), element( X, a ) ] )
% 0.45/1.15 , clause( 14, [ ~( element( X, f( Y ) ) ), ~( element( X, Y ) ) ] )
% 0.45/1.15 , clause( 15, [ element( X, Y ), element( X, f( Y ) ) ] )
% 0.45/1.15 ] ).
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 subsumption(
% 0.45/1.15 clause( 0, [ element( X, X ), ~( element( X, a ) ) ] )
% 0.45/1.15 , clause( 12, [ ~( element( X, a ) ), element( X, X ) ] )
% 0.45/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.15 0 )] ) ).
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 subsumption(
% 0.45/1.15 clause( 1, [ element( X, a ), ~( element( X, X ) ) ] )
% 0.45/1.15 , clause( 13, [ ~( element( X, X ) ), element( X, a ) ] )
% 0.45/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.15 0 )] ) ).
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 subsumption(
% 0.45/1.15 clause( 2, [ ~( element( X, Y ) ), ~( element( X, f( Y ) ) ) ] )
% 0.45/1.15 , clause( 14, [ ~( element( X, f( Y ) ) ), ~( element( X, Y ) ) ] )
% 0.45/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.45/1.15 ), ==>( 1, 0 )] ) ).
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 subsumption(
% 0.45/1.15 clause( 3, [ element( X, f( Y ) ), element( X, Y ) ] )
% 0.45/1.15 , clause( 15, [ element( X, Y ), element( X, f( Y ) ) ] )
% 0.45/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.45/1.15 ), ==>( 1, 0 )] ) ).
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 resolution(
% 0.45/1.15 clause( 16, [ element( X, X ), element( X, f( a ) ) ] )
% 0.45/1.15 , clause( 0, [ element( X, X ), ~( element( X, a ) ) ] )
% 0.45/1.15 , 1, clause( 3, [ element( X, f( Y ) ), element( X, Y ) ] )
% 0.45/1.15 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.45/1.15 , a )] )).
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 subsumption(
% 0.45/1.15 clause( 4, [ element( X, X ), element( X, f( a ) ) ] )
% 0.45/1.15 , clause( 16, [ element( X, X ), element( X, f( a ) ) ] )
% 0.45/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.15 1 )] ) ).
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 resolution(
% 0.45/1.15 clause( 18, [ element( f( X ), a ), element( f( X ), X ) ] )
% 0.45/1.15 , clause( 1, [ element( X, a ), ~( element( X, X ) ) ] )
% 0.45/1.15 , 1, clause( 3, [ element( X, f( Y ) ), element( X, Y ) ] )
% 0.45/1.15 , 0, substitution( 0, [ :=( X, f( X ) )] ), substitution( 1, [ :=( X, f( X
% 0.45/1.15 ) ), :=( Y, X )] )).
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 subsumption(
% 0.45/1.15 clause( 5, [ element( f( X ), a ), element( f( X ), X ) ] )
% 0.45/1.15 , clause( 18, [ element( f( X ), a ), element( f( X ), X ) ] )
% 0.45/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.15 1 )] ) ).
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 factor(
% 0.45/1.15 clause( 21, [ element( f( a ), a ) ] )
% 0.45/1.15 , clause( 5, [ element( f( X ), a ), element( f( X ), X ) ] )
% 0.45/1.15 , 0, 1, substitution( 0, [ :=( X, a )] )).
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 subsumption(
% 0.45/1.15 clause( 7, [ element( f( a ), a ) ] )
% 0.45/1.15 , clause( 21, [ element( f( a ), a ) ] )
% 0.45/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 factor(
% 0.45/1.15 clause( 22, [ element( f( a ), f( a ) ) ] )
% 0.45/1.15 , clause( 4, [ element( X, X ), element( X, f( a ) ) ] )
% 0.45/1.15 , 0, 1, substitution( 0, [ :=( X, f( a ) )] )).
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 subsumption(
% 0.45/1.15 clause( 8, [ element( f( a ), f( a ) ) ] )
% 0.45/1.15 , clause( 22, [ element( f( a ), f( a ) ) ] )
% 0.45/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 resolution(
% 0.45/1.15 clause( 24, [ ~( element( f( a ), a ) ) ] )
% 0.45/1.15 , clause( 2, [ ~( element( X, Y ) ), ~( element( X, f( Y ) ) ) ] )
% 0.45/1.15 , 1, clause( 8, [ element( f( a ), f( a ) ) ] )
% 0.45/1.15 , 0, substitution( 0, [ :=( X, f( a ) ), :=( Y, a )] ), substitution( 1, [] )
% 0.45/1.15 ).
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 resolution(
% 0.45/1.15 clause( 25, [] )
% 0.45/1.15 , clause( 24, [ ~( element( f( a ), a ) ) ] )
% 0.45/1.15 , 0, clause( 7, [ element( f( a ), a ) ] )
% 0.45/1.15 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 subsumption(
% 0.45/1.15 clause( 10, [] )
% 0.45/1.15 , clause( 25, [] )
% 0.45/1.15 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 end.
% 0.45/1.15
% 0.45/1.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.15
% 0.45/1.15 Memory use:
% 0.45/1.15
% 0.45/1.15 space for terms: 159
% 0.45/1.15 space for clauses: 629
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 clauses generated: 19
% 0.45/1.15 clauses kept: 11
% 0.45/1.15 clauses selected: 6
% 0.45/1.15 clauses deleted: 0
% 0.45/1.15 clauses inuse deleted: 0
% 0.45/1.15
% 0.45/1.15 subsentry: 16
% 0.45/1.15 literals s-matched: 4
% 0.45/1.15 literals matched: 4
% 0.45/1.15 full subsumption: 2
% 0.45/1.15
% 0.45/1.15 checksum: -83951880
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 Bliksem ended
%------------------------------------------------------------------------------