%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : CAT007-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : Thu Jul 14 23:54:10 EDT 2022
% Result : Unsatisfiable 0.77s 1.16s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CAT007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sun May 29 23:24:57 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.77/1.16 *** allocated 10000 integers for termspace/termends
% 0.77/1.16 *** allocated 10000 integers for clauses
% 0.77/1.16 *** allocated 10000 integers for justifications
% 0.77/1.16 Bliksem 1.12
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 Automatic Strategy Selection
% 0.77/1.16
% 0.77/1.16 Clauses:
% 0.77/1.16 [
% 0.77/1.16 [ ~( defined( X, Y ) ), product( X, Y, compose( X, Y ) ) ],
% 0.77/1.16 [ ~( product( X, Y, Z ) ), defined( X, Y ) ],
% 0.77/1.16 [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y, T ) ],
% 0.77/1.16 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( defined( Z, T ) )
% 0.77/1.16 , defined( X, U ) ],
% 0.77/1.16 [ ~( product( X, Y, Z ) ), ~( product( Z, T, U ) ), ~( product( Y, T, W
% 0.77/1.16 ) ), product( X, W, U ) ],
% 0.77/1.16 [ ~( product( X, Y, Z ) ), ~( defined( T, Z ) ), defined( T, X ) ],
% 0.77/1.16 [ ~( product( X, Y, Z ) ), ~( product( T, X, U ) ), ~( defined( T, Z ) )
% 0.77/1.16 , defined( U, Y ) ],
% 0.77/1.16 [ ~( product( X, Y, Z ) ), ~( product( T, Z, U ) ), ~( product( T, X, W
% 0.77/1.16 ) ), product( W, Y, U ) ],
% 0.77/1.16 [ ~( defined( X, Y ) ), ~( defined( Y, Z ) ), ~( 'identity_map'( Y ) ),
% 0.77/1.16 defined( X, Z ) ],
% 0.77/1.16 [ 'identity_map'( domain( X ) ) ],
% 0.77/1.16 [ 'identity_map'( codomain( X ) ) ],
% 0.77/1.16 [ defined( X, domain( X ) ) ],
% 0.77/1.16 [ defined( codomain( X ), X ) ],
% 0.77/1.16 [ product( X, domain( X ), X ) ],
% 0.77/1.16 [ product( codomain( X ), X, X ) ],
% 0.77/1.16 [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product( X, Y, Y ) ]
% 0.77/1.16 ,
% 0.77/1.16 [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product( X, Y, X ) ]
% 0.77/1.16 ,
% 0.77/1.16 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 0.77/1.16 [ =( domain( a ), codomain( b ) ) ],
% 0.77/1.16 [ ~( defined( a, b ) ) ]
% 0.77/1.16 ] .
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 percentage equality = 0.042553, percentage horn = 1.000000
% 0.77/1.16 This is a problem with some equality
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 Options Used:
% 0.77/1.16
% 0.77/1.16 useres = 1
% 0.77/1.16 useparamod = 1
% 0.77/1.16 useeqrefl = 1
% 0.77/1.16 useeqfact = 1
% 0.77/1.16 usefactor = 1
% 0.77/1.16 usesimpsplitting = 0
% 0.77/1.16 usesimpdemod = 5
% 0.77/1.16 usesimpres = 3
% 0.77/1.16
% 0.77/1.16 resimpinuse = 1000
% 0.77/1.16 resimpclauses = 20000
% 0.77/1.16 substype = eqrewr
% 0.77/1.16 backwardsubs = 1
% 0.77/1.16 selectoldest = 5
% 0.77/1.16
% 0.77/1.16 litorderings [0] = split
% 0.77/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.77/1.16
% 0.77/1.16 termordering = kbo
% 0.77/1.16
% 0.77/1.16 litapriori = 0
% 0.77/1.16 termapriori = 1
% 0.77/1.16 litaposteriori = 0
% 0.77/1.16 termaposteriori = 0
% 0.77/1.16 demodaposteriori = 0
% 0.77/1.16 ordereqreflfact = 0
% 0.77/1.16
% 0.77/1.16 litselect = negord
% 0.77/1.16
% 0.77/1.16 maxweight = 15
% 0.77/1.16 maxdepth = 30000
% 0.77/1.16 maxlength = 115
% 0.77/1.16 maxnrvars = 195
% 0.77/1.16 excuselevel = 1
% 0.77/1.16 increasemaxweight = 1
% 0.77/1.16
% 0.77/1.16 maxselected = 10000000
% 0.77/1.16 maxnrclauses = 10000000
% 0.77/1.16
% 0.77/1.16 showgenerated = 0
% 0.77/1.16 showkept = 0
% 0.77/1.16 showselected = 0
% 0.77/1.16 showdeleted = 0
% 0.77/1.16 showresimp = 1
% 0.77/1.16 showstatus = 2000
% 0.77/1.16
% 0.77/1.16 prologoutput = 1
% 0.77/1.16 nrgoals = 5000000
% 0.77/1.16 totalproof = 1
% 0.77/1.16
% 0.77/1.16 Symbols occurring in the translation:
% 0.77/1.16
% 0.77/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.77/1.16 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 0.77/1.16 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.77/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.16 defined [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.77/1.16 compose [42, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.77/1.16 product [43, 3] (w:1, o:53, a:1, s:1, b:0),
% 0.77/1.16 'identity_map' [48, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.77/1.16 domain [49, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.77/1.16 codomain [50, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.77/1.16 a [52, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.77/1.16 b [53, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 Starting Search:
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 Bliksems!, er is een bewijs:
% 0.77/1.16 % SZS status Unsatisfiable
% 0.77/1.16 % SZS output start Refutation
% 0.77/1.16
% 0.77/1.16 clause( 8, [ ~( defined( X, Y ) ), ~( defined( Y, Z ) ), ~( 'identity_map'(
% 0.77/1.16 Y ) ), defined( X, Z ) ] )
% 0.77/1.16 .
% 0.77/1.16 clause( 9, [ 'identity_map'( domain( X ) ) ] )
% 0.77/1.16 .
% 0.77/1.16 clause( 11, [ defined( X, domain( X ) ) ] )
% 0.77/1.16 .
% 0.77/1.16 clause( 12, [ defined( codomain( X ), X ) ] )
% 0.77/1.16 .
% 0.77/1.16 clause( 18, [ =( domain( a ), codomain( b ) ) ] )
% 0.77/1.16 .
% 0.77/1.16 clause( 19, [ ~( defined( a, b ) ) ] )
% 0.77/1.16 .
% 0.77/1.16 clause( 450, [ ~( defined( domain( X ), Y ) ), defined( X, Y ) ] )
% 0.77/1.16 .
% 0.77/1.16 clause( 881, [] )
% 0.77/1.16 .
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 % SZS output end Refutation
% 0.77/1.16 found a proof!
% 0.77/1.16
% 0.77/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.77/1.16
% 0.77/1.16 initialclauses(
% 0.77/1.16 [ clause( 883, [ ~( defined( X, Y ) ), product( X, Y, compose( X, Y ) ) ]
% 0.77/1.16 )
% 0.77/1.16 , clause( 884, [ ~( product( X, Y, Z ) ), defined( X, Y ) ] )
% 0.77/1.16 , clause( 885, [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y
% 0.77/1.16 , T ) ] )
% 0.77/1.16 , clause( 886, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.77/1.16 defined( Z, T ) ), defined( X, U ) ] )
% 0.77/1.16 , clause( 887, [ ~( product( X, Y, Z ) ), ~( product( Z, T, U ) ), ~(
% 0.77/1.16 product( Y, T, W ) ), product( X, W, U ) ] )
% 0.77/1.16 , clause( 888, [ ~( product( X, Y, Z ) ), ~( defined( T, Z ) ), defined( T
% 0.77/1.16 , X ) ] )
% 0.77/1.16 , clause( 889, [ ~( product( X, Y, Z ) ), ~( product( T, X, U ) ), ~(
% 0.77/1.16 defined( T, Z ) ), defined( U, Y ) ] )
% 0.77/1.16 , clause( 890, [ ~( product( X, Y, Z ) ), ~( product( T, Z, U ) ), ~(
% 0.77/1.16 product( T, X, W ) ), product( W, Y, U ) ] )
% 0.77/1.16 , clause( 891, [ ~( defined( X, Y ) ), ~( defined( Y, Z ) ), ~(
% 0.77/1.16 'identity_map'( Y ) ), defined( X, Z ) ] )
% 0.77/1.16 , clause( 892, [ 'identity_map'( domain( X ) ) ] )
% 0.77/1.16 , clause( 893, [ 'identity_map'( codomain( X ) ) ] )
% 0.77/1.16 , clause( 894, [ defined( X, domain( X ) ) ] )
% 0.77/1.16 , clause( 895, [ defined( codomain( X ), X ) ] )
% 0.77/1.16 , clause( 896, [ product( X, domain( X ), X ) ] )
% 0.77/1.16 , clause( 897, [ product( codomain( X ), X, X ) ] )
% 0.77/1.16 , clause( 898, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product( X
% 0.77/1.16 , Y, Y ) ] )
% 0.77/1.16 , clause( 899, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product( X
% 0.77/1.16 , Y, X ) ] )
% 0.77/1.16 , clause( 900, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.77/1.16 ) ] )
% 0.77/1.16 , clause( 901, [ =( domain( a ), codomain( b ) ) ] )
% 0.77/1.16 , clause( 902, [ ~( defined( a, b ) ) ] )
% 0.77/1.16 ] ).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 subsumption(
% 0.77/1.16 clause( 8, [ ~( defined( X, Y ) ), ~( defined( Y, Z ) ), ~( 'identity_map'(
% 0.77/1.16 Y ) ), defined( X, Z ) ] )
% 0.77/1.16 , clause( 891, [ ~( defined( X, Y ) ), ~( defined( Y, Z ) ), ~(
% 0.77/1.16 'identity_map'( Y ) ), defined( X, Z ) ] )
% 0.77/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.77/1.16 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.77/1.16 ).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 subsumption(
% 0.77/1.16 clause( 9, [ 'identity_map'( domain( X ) ) ] )
% 0.77/1.16 , clause( 892, [ 'identity_map'( domain( X ) ) ] )
% 0.77/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 subsumption(
% 0.77/1.16 clause( 11, [ defined( X, domain( X ) ) ] )
% 0.77/1.16 , clause( 894, [ defined( X, domain( X ) ) ] )
% 0.77/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 subsumption(
% 0.77/1.16 clause( 12, [ defined( codomain( X ), X ) ] )
% 0.77/1.16 , clause( 895, [ defined( codomain( X ), X ) ] )
% 0.77/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 subsumption(
% 0.77/1.16 clause( 18, [ =( domain( a ), codomain( b ) ) ] )
% 0.77/1.16 , clause( 901, [ =( domain( a ), codomain( b ) ) ] )
% 0.77/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 subsumption(
% 0.77/1.16 clause( 19, [ ~( defined( a, b ) ) ] )
% 0.77/1.16 , clause( 902, [ ~( defined( a, b ) ) ] )
% 0.77/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 resolution(
% 0.77/1.16 clause( 973, [ ~( defined( domain( X ), Y ) ), ~( 'identity_map'( domain( X
% 0.77/1.16 ) ) ), defined( X, Y ) ] )
% 0.77/1.16 , clause( 8, [ ~( defined( X, Y ) ), ~( defined( Y, Z ) ), ~(
% 0.77/1.16 'identity_map'( Y ) ), defined( X, Z ) ] )
% 0.77/1.16 , 0, clause( 11, [ defined( X, domain( X ) ) ] )
% 0.77/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, domain( X ) ), :=( Z, Y )] ),
% 0.77/1.16 substitution( 1, [ :=( X, X )] )).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 resolution(
% 0.77/1.16 clause( 975, [ ~( defined( domain( X ), Y ) ), defined( X, Y ) ] )
% 0.77/1.16 , clause( 973, [ ~( defined( domain( X ), Y ) ), ~( 'identity_map'( domain(
% 0.77/1.16 X ) ) ), defined( X, Y ) ] )
% 0.77/1.16 , 1, clause( 9, [ 'identity_map'( domain( X ) ) ] )
% 0.77/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.77/1.16 , X )] )).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 subsumption(
% 0.77/1.16 clause( 450, [ ~( defined( domain( X ), Y ) ), defined( X, Y ) ] )
% 0.77/1.16 , clause( 975, [ ~( defined( domain( X ), Y ) ), defined( X, Y ) ] )
% 0.77/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.77/1.16 ), ==>( 1, 1 )] ) ).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 resolution(
% 0.77/1.16 clause( 977, [ ~( defined( domain( a ), b ) ) ] )
% 0.77/1.16 , clause( 19, [ ~( defined( a, b ) ) ] )
% 0.77/1.16 , 0, clause( 450, [ ~( defined( domain( X ), Y ) ), defined( X, Y ) ] )
% 0.77/1.16 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.77/1.16 ).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 paramod(
% 0.77/1.16 clause( 978, [ ~( defined( codomain( b ), b ) ) ] )
% 0.77/1.16 , clause( 18, [ =( domain( a ), codomain( b ) ) ] )
% 0.77/1.16 , 0, clause( 977, [ ~( defined( domain( a ), b ) ) ] )
% 0.77/1.16 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 resolution(
% 0.77/1.16 clause( 979, [] )
% 0.77/1.16 , clause( 978, [ ~( defined( codomain( b ), b ) ) ] )
% 0.77/1.16 , 0, clause( 12, [ defined( codomain( X ), X ) ] )
% 0.77/1.16 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, b )] )).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 subsumption(
% 0.77/1.16 clause( 881, [] )
% 0.77/1.16 , clause( 979, [] )
% 0.77/1.16 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 end.
% 0.77/1.16
% 0.77/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.77/1.16
% 0.77/1.16 Memory use:
% 0.77/1.16
% 0.77/1.16 space for terms: 12927
% 0.77/1.16 space for clauses: 38702
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 clauses generated: 2055
% 0.77/1.16 clauses kept: 882
% 0.77/1.16 clauses selected: 75
% 0.77/1.16 clauses deleted: 4
% 0.77/1.16 clauses inuse deleted: 0
% 0.77/1.16
% 0.77/1.16 subsentry: 22196
% 0.77/1.16 literals s-matched: 10289
% 0.77/1.16 literals matched: 8582
% 0.77/1.16 full subsumption: 6477
% 0.77/1.16
% 0.77/1.16 checksum: 1743168311
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 Bliksem ended
%------------------------------------------------------------------------------