TSTP Solution File: SET045-5 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SET045-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 22:46:05 EDT 2022
% Result : Unsatisfiable 0.77s 1.14s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET045-5 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sun Jul 10 00:08:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.77/1.14 *** allocated 10000 integers for termspace/termends
% 0.77/1.14 *** allocated 10000 integers for clauses
% 0.77/1.14 *** allocated 10000 integers for justifications
% 0.77/1.14 Bliksem 1.12
% 0.77/1.14
% 0.77/1.14
% 0.77/1.14 Automatic Strategy Selection
% 0.77/1.14
% 0.77/1.14 Clauses:
% 0.77/1.14 [
% 0.77/1.14 [ ~( element( X, f( Y ) ) ), element( X, Y ) ],
% 0.77/1.14 [ ~( element( X, f( Y ) ) ), ~( element( X, X ) ) ],
% 0.77/1.14 [ ~( element( X, Y ) ), element( X, X ), element( X, f( Y ) ) ],
% 0.77/1.14 [ element( X, a ) ]
% 0.77/1.14 ] .
% 0.77/1.14
% 0.77/1.14
% 0.77/1.14 percentage equality = 0.000000, percentage horn = 0.750000
% 0.77/1.14 This a non-horn, non-equality problem
% 0.77/1.14
% 0.77/1.14
% 0.77/1.14 Options Used:
% 0.77/1.14
% 0.77/1.14 useres = 1
% 0.77/1.14 useparamod = 0
% 0.77/1.14 useeqrefl = 0
% 0.77/1.14 useeqfact = 0
% 0.77/1.14 usefactor = 1
% 0.77/1.14 usesimpsplitting = 0
% 0.77/1.14 usesimpdemod = 0
% 0.77/1.14 usesimpres = 3
% 0.77/1.14
% 0.77/1.14 resimpinuse = 1000
% 0.77/1.14 resimpclauses = 20000
% 0.77/1.14 substype = standard
% 0.77/1.14 backwardsubs = 1
% 0.77/1.14 selectoldest = 5
% 0.77/1.14
% 0.77/1.14 litorderings [0] = split
% 0.77/1.14 litorderings [1] = liftord
% 0.77/1.14
% 0.77/1.14 termordering = none
% 0.77/1.14
% 0.77/1.14 litapriori = 1
% 0.77/1.14 termapriori = 0
% 0.77/1.14 litaposteriori = 0
% 0.77/1.14 termaposteriori = 0
% 0.77/1.14 demodaposteriori = 0
% 0.77/1.14 ordereqreflfact = 0
% 0.77/1.14
% 0.77/1.14 litselect = none
% 0.77/1.14
% 0.77/1.14 maxweight = 15
% 0.77/1.14 maxdepth = 30000
% 0.77/1.14 maxlength = 115
% 0.77/1.14 maxnrvars = 195
% 0.77/1.14 excuselevel = 1
% 0.77/1.14 increasemaxweight = 1
% 0.77/1.14
% 0.77/1.14 maxselected = 10000000
% 0.77/1.14 maxnrclauses = 10000000
% 0.77/1.14
% 0.77/1.14 showgenerated = 0
% 0.77/1.14 showkept = 0
% 0.77/1.14 showselected = 0
% 0.77/1.14 showdeleted = 0
% 0.77/1.14 showresimp = 1
% 0.77/1.14 showstatus = 2000
% 0.77/1.14
% 0.77/1.14 prologoutput = 1
% 0.77/1.14 nrgoals = 5000000
% 0.77/1.14 totalproof = 1
% 0.77/1.14
% 0.77/1.14 Symbols occurring in the translation:
% 0.77/1.14
% 0.77/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.77/1.14 . [1, 2] (w:1, o:18, a:1, s:1, b:0),
% 0.77/1.14 ! [4, 1] (w:0, o:12, a:1, s:1, b:0),
% 0.77/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.14 f [41, 1] (w:1, o:17, a:1, s:1, b:0),
% 0.77/1.14 element [42, 2] (w:1, o:43, a:1, s:1, b:0),
% 0.77/1.14 a [43, 0] (w:1, o:11, a:1, s:1, b:0).
% 0.77/1.14
% 0.77/1.14
% 0.77/1.14 Starting Search:
% 0.77/1.14
% 0.77/1.14
% 0.77/1.14 Bliksems!, er is een bewijs:
% 0.77/1.14 % SZS status Unsatisfiable
% 0.77/1.14 % SZS output start Refutation
% 0.77/1.14
% 0.77/1.14 clause( 1, [ ~( element( X, X ) ), ~( element( X, f( Y ) ) ) ] )
% 0.77/1.14 .
% 0.77/1.14 clause( 2, [ element( X, X ), element( X, f( Y ) ), ~( element( X, Y ) ) ]
% 0.77/1.14 )
% 0.77/1.14 .
% 0.77/1.14 clause( 3, [ element( X, a ) ] )
% 0.77/1.14 .
% 0.77/1.14 clause( 4, [ ~( element( f( X ), f( X ) ) ) ] )
% 0.77/1.14 .
% 0.77/1.14 clause( 5, [ ~( element( f( X ), X ) ) ] )
% 0.77/1.14 .
% 0.77/1.14 clause( 6, [] )
% 0.77/1.14 .
% 0.77/1.14
% 0.77/1.14
% 0.77/1.14 % SZS output end Refutation
% 0.77/1.14 found a proof!
% 0.77/1.14
% 0.77/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.77/1.14
% 0.77/1.14 initialclauses(
% 0.77/1.14 [ clause( 8, [ ~( element( X, f( Y ) ) ), element( X, Y ) ] )
% 0.77/1.14 , clause( 9, [ ~( element( X, f( Y ) ) ), ~( element( X, X ) ) ] )
% 0.77/1.14 , clause( 10, [ ~( element( X, Y ) ), element( X, X ), element( X, f( Y ) )
% 0.77/1.14 ] )
% 0.77/1.14 , clause( 11, [ element( X, a ) ] )
% 0.77/1.14 ] ).
% 0.77/1.14
% 0.77/1.14
% 0.77/1.14
% 0.77/1.14 subsumption(
% 0.77/1.14 clause( 1, [ ~( element( X, X ) ), ~( element( X, f( Y ) ) ) ] )
% 0.77/1.14 , clause( 9, [ ~( element( X, f( Y ) ) ), ~( element( X, X ) ) ] )
% 0.77/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.77/1.14 ), ==>( 1, 0 )] ) ).
% 0.77/1.14
% 0.77/1.14
% 0.77/1.14 subsumption(
% 0.77/1.14 clause( 2, [ element( X, X ), element( X, f( Y ) ), ~( element( X, Y ) ) ]
% 0.77/1.14 )
% 0.77/1.14 , clause( 10, [ ~( element( X, Y ) ), element( X, X ), element( X, f( Y ) )
% 0.77/1.14 ] )
% 0.77/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.77/1.14 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.77/1.14
% 0.77/1.14
% 0.77/1.14 subsumption(
% 0.77/1.14 clause( 3, [ element( X, a ) ] )
% 0.77/1.14 , clause( 11, [ element( X, a ) ] )
% 0.77/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.14
% 0.77/1.14
% 0.77/1.14 factor(
% 0.77/1.14 clause( 17, [ ~( element( f( X ), f( X ) ) ) ] )
% 0.77/1.14 , clause( 1, [ ~( element( X, X ) ), ~( element( X, f( Y ) ) ) ] )
% 0.77/1.14 , 0, 1, substitution( 0, [ :=( X, f( X ) ), :=( Y, X )] )).
% 0.77/1.14
% 0.77/1.14
% 0.77/1.14 subsumption(
% 0.77/1.14 clause( 4, [ ~( element( f( X ), f( X ) ) ) ] )
% 0.77/1.14 , clause( 17, [ ~( element( f( X ), f( X ) ) ) ] )
% 0.77/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.14
% 0.77/1.14
% 0.77/1.14 factor(
% 0.77/1.14 clause( 18, [ element( f( X ), f( X ) ), ~( element( f( X ), X ) ) ] )
% 0.77/1.14 , clause( 2, [ element( X, X ), element( X, f( Y ) ), ~( element( X, Y ) )
% 0.77/1.14 ] )
% 0.77/1.14 , 0, 1, substitution( 0, [ :=( X, f( X ) ), :=( Y, X )] )).
% 0.77/1.14
% 0.77/1.14
% 0.77/1.14 resolution(
% 0.77/1.14 clause( 19, [ ~( element( f( X ), X ) ) ] )
% 0.77/1.14 , clause( 4, [ ~( element( f( X ), f( X ) ) ) ] )
% 0.77/1.14 , 0, clause( 18, [ element( f( X ), f( X ) ), ~( element( f( X ), X ) ) ]
% 0.77/1.14 )
% 0.77/1.14 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.77/1.14 ).
% 0.77/1.14
% 0.77/1.14
% 0.77/1.14 subsumption(
% 0.77/1.14 clause( 5, [ ~( element( f( X ), X ) ) ] )
% 0.77/1.14 , clause( 19, [ ~( element( f( X ), X ) ) ] )
% 0.77/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.14
% 0.77/1.14
% 0.77/1.14 resolution(
% 0.77/1.14 clause( 20, [] )
% 0.77/1.14 , clause( 5, [ ~( element( f( X ), X ) ) ] )
% 0.77/1.14 , 0, clause( 3, [ element( X, a ) ] )
% 0.77/1.14 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [ :=( X, f( a ) )] )
% 0.77/1.14 ).
% 0.77/1.14
% 0.77/1.14
% 0.77/1.14 subsumption(
% 0.77/1.14 clause( 6, [] )
% 0.77/1.14 , clause( 20, [] )
% 0.77/1.14 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.77/1.14
% 0.77/1.14
% 0.77/1.14 end.
% 0.77/1.14
% 0.77/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.77/1.14
% 0.77/1.14 Memory use:
% 0.77/1.14
% 0.77/1.14 space for terms: 135
% 0.77/1.14 space for clauses: 372
% 0.77/1.14
% 0.77/1.14
% 0.77/1.14 clauses generated: 7
% 0.77/1.14 clauses kept: 7
% 0.77/1.14 clauses selected: 2
% 0.77/1.14 clauses deleted: 0
% 0.77/1.14 clauses inuse deleted: 0
% 0.77/1.14
% 0.77/1.14 subsentry: 1
% 0.77/1.14 literals s-matched: 0
% 0.77/1.14 literals matched: 0
% 0.77/1.14 full subsumption: 0
% 0.77/1.14
% 0.77/1.14 checksum: 17653
% 0.77/1.14
% 0.77/1.14
% 0.77/1.14 Bliksem ended
%------------------------------------------------------------------------------