%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM014-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 06:19:14 EDT 2022
% Result : Unsatisfiable 0.40s 1.06s
% Output : Refutation 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : NUM014-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n024.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 : Tue Jul 5 12:23:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.40/1.06 *** allocated 10000 integers for termspace/termends
% 0.40/1.06 *** allocated 10000 integers for clauses
% 0.40/1.06 *** allocated 10000 integers for justifications
% 0.40/1.06 Bliksem 1.12
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 Automatic Strategy Selection
% 0.40/1.06
% 0.40/1.06 Clauses:
% 0.40/1.06 [
% 0.40/1.06 [ product( X, X, square( X ) ) ],
% 0.40/1.06 [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ],
% 0.40/1.06 [ ~( product( X, Y, Z ) ), divides( X, Z ) ],
% 0.40/1.06 [ ~( prime( X ) ), ~( product( Y, Z, T ) ), ~( divides( X, T ) ),
% 0.40/1.06 divides( X, Y ), divides( X, Z ) ],
% 0.40/1.06 [ prime( a ) ],
% 0.40/1.06 [ product( a, square( c ), square( b ) ) ],
% 0.40/1.06 [ ~( divides( a, b ) ) ]
% 0.40/1.06 ] .
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 percentage equality = 0.000000, percentage horn = 0.857143
% 0.40/1.06 This a non-horn, non-equality problem
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 Options Used:
% 0.40/1.06
% 0.40/1.06 useres = 1
% 0.40/1.06 useparamod = 0
% 0.40/1.06 useeqrefl = 0
% 0.40/1.06 useeqfact = 0
% 0.40/1.06 usefactor = 1
% 0.40/1.06 usesimpsplitting = 0
% 0.40/1.06 usesimpdemod = 0
% 0.40/1.06 usesimpres = 3
% 0.40/1.06
% 0.40/1.06 resimpinuse = 1000
% 0.40/1.06 resimpclauses = 20000
% 0.40/1.06 substype = standard
% 0.40/1.06 backwardsubs = 1
% 0.40/1.06 selectoldest = 5
% 0.40/1.06
% 0.40/1.06 litorderings [0] = split
% 0.40/1.06 litorderings [1] = liftord
% 0.40/1.06
% 0.40/1.06 termordering = none
% 0.40/1.06
% 0.40/1.06 litapriori = 1
% 0.40/1.06 termapriori = 0
% 0.40/1.06 litaposteriori = 0
% 0.40/1.06 termaposteriori = 0
% 0.40/1.06 demodaposteriori = 0
% 0.40/1.06 ordereqreflfact = 0
% 0.40/1.06
% 0.40/1.06 litselect = none
% 0.40/1.06
% 0.40/1.06 maxweight = 15
% 0.40/1.06 maxdepth = 30000
% 0.40/1.06 maxlength = 115
% 0.40/1.06 maxnrvars = 195
% 0.40/1.06 excuselevel = 1
% 0.40/1.06 increasemaxweight = 1
% 0.40/1.06
% 0.40/1.06 maxselected = 10000000
% 0.40/1.06 maxnrclauses = 10000000
% 0.40/1.06
% 0.40/1.06 showgenerated = 0
% 0.40/1.06 showkept = 0
% 0.40/1.06 showselected = 0
% 0.40/1.06 showdeleted = 0
% 0.40/1.06 showresimp = 1
% 0.40/1.06 showstatus = 2000
% 0.40/1.06
% 0.40/1.06 prologoutput = 1
% 0.40/1.06 nrgoals = 5000000
% 0.40/1.06 totalproof = 1
% 0.40/1.06
% 0.40/1.06 Symbols occurring in the translation:
% 0.40/1.06
% 0.40/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.40/1.06 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.40/1.06 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.40/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.40/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.40/1.06 square [40, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.40/1.06 product [41, 3] (w:1, o:49, a:1, s:1, b:0),
% 0.40/1.06 divides [44, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.40/1.06 prime [45, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.40/1.06 a [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.40/1.06 c [48, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.40/1.06 b [49, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 Starting Search:
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 Bliksems!, er is een bewijs:
% 0.40/1.06 % SZS status Unsatisfiable
% 0.40/1.06 % SZS output start Refutation
% 0.40/1.06
% 0.40/1.06 clause( 0, [ product( X, X, square( X ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 2, [ divides( X, Z ), ~( product( X, Y, Z ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 3, [ ~( prime( X ) ), ~( divides( X, T ) ), divides( X, Y ),
% 0.40/1.06 divides( X, Z ), ~( product( Y, Z, T ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 4, [ prime( a ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 5, [ product( a, square( c ), square( b ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 6, [ ~( divides( a, b ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 8, [ divides( a, square( b ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 14, [ ~( prime( X ) ), divides( X, Y ), ~( divides( X, square( Y )
% 0.40/1.06 ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 17, [ divides( a, b ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 20, [] )
% 0.40/1.06 .
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 % SZS output end Refutation
% 0.40/1.06 found a proof!
% 0.40/1.06
% 0.40/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.40/1.06
% 0.40/1.06 initialclauses(
% 0.40/1.06 [ clause( 22, [ product( X, X, square( X ) ) ] )
% 0.40/1.06 , clause( 23, [ ~( product( X, Y, Z ) ), product( Y, X, Z ) ] )
% 0.40/1.06 , clause( 24, [ ~( product( X, Y, Z ) ), divides( X, Z ) ] )
% 0.40/1.06 , clause( 25, [ ~( prime( X ) ), ~( product( Y, Z, T ) ), ~( divides( X, T
% 0.40/1.06 ) ), divides( X, Y ), divides( X, Z ) ] )
% 0.40/1.06 , clause( 26, [ prime( a ) ] )
% 0.40/1.06 , clause( 27, [ product( a, square( c ), square( b ) ) ] )
% 0.40/1.06 , clause( 28, [ ~( divides( a, b ) ) ] )
% 0.40/1.06 ] ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 0, [ product( X, X, square( X ) ) ] )
% 0.40/1.06 , clause( 22, [ product( X, X, square( X ) ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 2, [ divides( X, Z ), ~( product( X, Y, Z ) ) ] )
% 0.40/1.06 , clause( 24, [ ~( product( X, Y, Z ) ), divides( X, Z ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.40/1.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 3, [ ~( prime( X ) ), ~( divides( X, T ) ), divides( X, Y ),
% 0.40/1.06 divides( X, Z ), ~( product( Y, Z, T ) ) ] )
% 0.40/1.06 , clause( 25, [ ~( prime( X ) ), ~( product( Y, Z, T ) ), ~( divides( X, T
% 0.40/1.06 ) ), divides( X, Y ), divides( X, Z ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.40/1.06 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 4 ), ==>( 2, 1 ), ==>( 3, 2 ),
% 0.40/1.06 ==>( 4, 3 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 4, [ prime( a ) ] )
% 0.40/1.06 , clause( 26, [ prime( a ) ] )
% 0.40/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 5, [ product( a, square( c ), square( b ) ) ] )
% 0.40/1.06 , clause( 27, [ product( a, square( c ), square( b ) ) ] )
% 0.40/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 6, [ ~( divides( a, b ) ) ] )
% 0.40/1.06 , clause( 28, [ ~( divides( a, b ) ) ] )
% 0.40/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 33, [ divides( a, square( b ) ) ] )
% 0.40/1.06 , clause( 2, [ divides( X, Z ), ~( product( X, Y, Z ) ) ] )
% 0.40/1.06 , 1, clause( 5, [ product( a, square( c ), square( b ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, a ), :=( Y, square( c ) ), :=( Z, square( b
% 0.40/1.06 ) )] ), substitution( 1, [] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 8, [ divides( a, square( b ) ) ] )
% 0.40/1.06 , clause( 33, [ divides( a, square( b ) ) ] )
% 0.40/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 34, [ ~( prime( X ) ), ~( divides( X, square( Y ) ) ), divides( X,
% 0.40/1.06 Y ), divides( X, Y ) ] )
% 0.40/1.06 , clause( 3, [ ~( prime( X ) ), ~( divides( X, T ) ), divides( X, Y ),
% 0.40/1.06 divides( X, Z ), ~( product( Y, Z, T ) ) ] )
% 0.40/1.06 , 4, clause( 0, [ product( X, X, square( X ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, square(
% 0.40/1.06 Y ) )] ), substitution( 1, [ :=( X, Y )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 factor(
% 0.40/1.06 clause( 35, [ ~( prime( X ) ), ~( divides( X, square( Y ) ) ), divides( X,
% 0.40/1.06 Y ) ] )
% 0.40/1.06 , clause( 34, [ ~( prime( X ) ), ~( divides( X, square( Y ) ) ), divides( X
% 0.40/1.06 , Y ), divides( X, Y ) ] )
% 0.40/1.06 , 2, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 14, [ ~( prime( X ) ), divides( X, Y ), ~( divides( X, square( Y )
% 0.40/1.06 ) ) ] )
% 0.40/1.06 , clause( 35, [ ~( prime( X ) ), ~( divides( X, square( Y ) ) ), divides( X
% 0.40/1.06 , Y ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.40/1.06 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 36, [ ~( prime( a ) ), divides( a, b ) ] )
% 0.40/1.06 , clause( 14, [ ~( prime( X ) ), divides( X, Y ), ~( divides( X, square( Y
% 0.40/1.06 ) ) ) ] )
% 0.40/1.06 , 2, clause( 8, [ divides( a, square( b ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.40/1.06 ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 37, [ divides( a, b ) ] )
% 0.40/1.06 , clause( 36, [ ~( prime( a ) ), divides( a, b ) ] )
% 0.40/1.06 , 0, clause( 4, [ prime( a ) ] )
% 0.40/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 17, [ divides( a, b ) ] )
% 0.40/1.06 , clause( 37, [ divides( a, b ) ] )
% 0.40/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 38, [] )
% 0.40/1.06 , clause( 6, [ ~( divides( a, b ) ) ] )
% 0.40/1.06 , 0, clause( 17, [ divides( a, b ) ] )
% 0.40/1.06 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 20, [] )
% 0.40/1.06 , clause( 38, [] )
% 0.40/1.06 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 end.
% 0.40/1.06
% 0.40/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.40/1.06
% 0.40/1.06 Memory use:
% 0.40/1.06
% 0.40/1.06 space for terms: 305
% 0.40/1.06 space for clauses: 1161
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 clauses generated: 32
% 0.40/1.06 clauses kept: 21
% 0.40/1.06 clauses selected: 13
% 0.40/1.06 clauses deleted: 1
% 0.40/1.06 clauses inuse deleted: 0
% 0.40/1.06
% 0.40/1.06 subsentry: 20
% 0.40/1.06 literals s-matched: 19
% 0.40/1.06 literals matched: 19
% 0.40/1.06 full subsumption: 5
% 0.40/1.06
% 0.40/1.06 checksum: 118659562
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 Bliksem ended
%------------------------------------------------------------------------------