TSTP Solution File: CAT019-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : CAT019-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 23:54:15 EDT 2022
% Result : Unsatisfiable 0.44s 1.10s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CAT019-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.34 % Computer : n018.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 May 29 23:30:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.44/1.10 *** allocated 10000 integers for termspace/termends
% 0.44/1.10 *** allocated 10000 integers for clauses
% 0.44/1.10 *** allocated 10000 integers for justifications
% 0.44/1.10 Bliksem 1.12
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 Automatic Strategy Selection
% 0.44/1.10
% 0.44/1.10 Clauses:
% 0.44/1.10 [
% 0.44/1.10 [ ~( defined( X, Y ) ), product( X, Y, compose( X, Y ) ) ],
% 0.44/1.10 [ ~( product( X, Y, Z ) ), defined( X, Y ) ],
% 0.44/1.10 [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y, T ) ],
% 0.44/1.10 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( defined( Z, T ) )
% 0.44/1.10 , defined( X, U ) ],
% 0.44/1.10 [ ~( product( X, Y, Z ) ), ~( product( Z, T, U ) ), ~( product( Y, T, W
% 0.44/1.10 ) ), product( X, W, U ) ],
% 0.44/1.10 [ ~( product( X, Y, Z ) ), ~( defined( T, Z ) ), defined( T, X ) ],
% 0.44/1.10 [ ~( product( X, Y, Z ) ), ~( product( T, X, U ) ), ~( defined( T, Z ) )
% 0.44/1.10 , defined( U, Y ) ],
% 0.44/1.10 [ ~( product( X, Y, Z ) ), ~( product( T, Z, U ) ), ~( product( T, X, W
% 0.44/1.10 ) ), product( W, Y, U ) ],
% 0.44/1.10 [ ~( defined( X, Y ) ), ~( defined( Y, Z ) ), ~( 'identity_map'( Y ) ),
% 0.44/1.10 defined( X, Z ) ],
% 0.44/1.10 [ 'identity_map'( domain( X ) ) ],
% 0.44/1.10 [ 'identity_map'( codomain( X ) ) ],
% 0.44/1.10 [ defined( X, domain( X ) ) ],
% 0.44/1.10 [ defined( codomain( X ), X ) ],
% 0.44/1.10 [ product( X, domain( X ), X ) ],
% 0.44/1.10 [ product( codomain( X ), X, X ) ],
% 0.44/1.10 [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product( X, Y, Y ) ]
% 0.44/1.10 ,
% 0.44/1.10 [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product( X, Y, X ) ]
% 0.44/1.10 ,
% 0.44/1.10 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 0.44/1.10 [ ~( =( c2, X ) ), =( c1, X ) ],
% 0.44/1.10 [ =( c2, X ), ~( =( c1, X ) ) ],
% 0.44/1.10 [ ~( =( c2, c1 ) ) ]
% 0.44/1.10 ] .
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 percentage equality = 0.120000, percentage horn = 1.000000
% 0.44/1.10 This is a problem with some equality
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 Options Used:
% 0.44/1.10
% 0.44/1.10 useres = 1
% 0.44/1.10 useparamod = 1
% 0.44/1.10 useeqrefl = 1
% 0.44/1.10 useeqfact = 1
% 0.44/1.10 usefactor = 1
% 0.44/1.10 usesimpsplitting = 0
% 0.44/1.10 usesimpdemod = 5
% 0.44/1.10 usesimpres = 3
% 0.44/1.10
% 0.44/1.10 resimpinuse = 1000
% 0.44/1.10 resimpclauses = 20000
% 0.44/1.10 substype = eqrewr
% 0.44/1.10 backwardsubs = 1
% 0.44/1.10 selectoldest = 5
% 0.44/1.10
% 0.44/1.10 litorderings [0] = split
% 0.44/1.10 litorderings [1] = extend the termordering, first sorting on arguments
% 0.44/1.10
% 0.44/1.10 termordering = kbo
% 0.44/1.10
% 0.44/1.10 litapriori = 0
% 0.44/1.10 termapriori = 1
% 0.44/1.10 litaposteriori = 0
% 0.44/1.10 termaposteriori = 0
% 0.44/1.10 demodaposteriori = 0
% 0.44/1.10 ordereqreflfact = 0
% 0.44/1.10
% 0.44/1.10 litselect = negord
% 0.44/1.10
% 0.44/1.10 maxweight = 15
% 0.44/1.10 maxdepth = 30000
% 0.44/1.10 maxlength = 115
% 0.44/1.10 maxnrvars = 195
% 0.44/1.10 excuselevel = 1
% 0.44/1.10 increasemaxweight = 1
% 0.44/1.10
% 0.44/1.10 maxselected = 10000000
% 0.44/1.10 maxnrclauses = 10000000
% 0.44/1.10
% 0.44/1.10 showgenerated = 0
% 0.44/1.10 showkept = 0
% 0.44/1.10 showselected = 0
% 0.44/1.10 showdeleted = 0
% 0.44/1.10 showresimp = 1
% 0.44/1.10 showstatus = 2000
% 0.44/1.10
% 0.44/1.10 prologoutput = 1
% 0.44/1.10 nrgoals = 5000000
% 0.44/1.10 totalproof = 1
% 0.44/1.10
% 0.44/1.10 Symbols occurring in the translation:
% 0.44/1.10
% 0.44/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.10 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 0.44/1.10 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.44/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.10 defined [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.44/1.10 compose [42, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.44/1.10 product [43, 3] (w:1, o:53, a:1, s:1, b:0),
% 0.44/1.10 'identity_map' [48, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.44/1.10 domain [49, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.44/1.10 codomain [50, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.44/1.10 c2 [52, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.44/1.10 c1 [53, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 Starting Search:
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 Bliksems!, er is een bewijs:
% 0.44/1.10 % SZS status Unsatisfiable
% 0.44/1.10 % SZS output start Refutation
% 0.44/1.10
% 0.44/1.10 clause( 18, [ ~( =( c2, X ) ), =( c1, X ) ] )
% 0.44/1.10 .
% 0.44/1.10 clause( 20, [ ~( =( c2, c1 ) ) ] )
% 0.44/1.10 .
% 0.44/1.10 clause( 29, [ =( c2, c1 ) ] )
% 0.44/1.10 .
% 0.44/1.10 clause( 30, [] )
% 0.44/1.10 .
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 % SZS output end Refutation
% 0.44/1.10 found a proof!
% 0.44/1.10
% 0.44/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.10
% 0.44/1.10 initialclauses(
% 0.44/1.10 [ clause( 32, [ ~( defined( X, Y ) ), product( X, Y, compose( X, Y ) ) ] )
% 0.44/1.10 , clause( 33, [ ~( product( X, Y, Z ) ), defined( X, Y ) ] )
% 0.44/1.10 , clause( 34, [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y,
% 0.44/1.10 T ) ] )
% 0.44/1.10 , clause( 35, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.44/1.10 defined( Z, T ) ), defined( X, U ) ] )
% 0.44/1.10 , clause( 36, [ ~( product( X, Y, Z ) ), ~( product( Z, T, U ) ), ~(
% 0.44/1.10 product( Y, T, W ) ), product( X, W, U ) ] )
% 0.44/1.10 , clause( 37, [ ~( product( X, Y, Z ) ), ~( defined( T, Z ) ), defined( T,
% 0.44/1.10 X ) ] )
% 0.44/1.10 , clause( 38, [ ~( product( X, Y, Z ) ), ~( product( T, X, U ) ), ~(
% 0.44/1.10 defined( T, Z ) ), defined( U, Y ) ] )
% 0.44/1.10 , clause( 39, [ ~( product( X, Y, Z ) ), ~( product( T, Z, U ) ), ~(
% 0.44/1.10 product( T, X, W ) ), product( W, Y, U ) ] )
% 0.44/1.10 , clause( 40, [ ~( defined( X, Y ) ), ~( defined( Y, Z ) ), ~(
% 0.44/1.10 'identity_map'( Y ) ), defined( X, Z ) ] )
% 0.44/1.10 , clause( 41, [ 'identity_map'( domain( X ) ) ] )
% 0.44/1.10 , clause( 42, [ 'identity_map'( codomain( X ) ) ] )
% 0.44/1.10 , clause( 43, [ defined( X, domain( X ) ) ] )
% 0.44/1.10 , clause( 44, [ defined( codomain( X ), X ) ] )
% 0.44/1.10 , clause( 45, [ product( X, domain( X ), X ) ] )
% 0.44/1.10 , clause( 46, [ product( codomain( X ), X, X ) ] )
% 0.44/1.10 , clause( 47, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product( X
% 0.44/1.10 , Y, Y ) ] )
% 0.44/1.10 , clause( 48, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product( X
% 0.44/1.10 , Y, X ) ] )
% 0.44/1.10 , clause( 49, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 0.44/1.10 ] )
% 0.44/1.10 , clause( 50, [ ~( =( c2, X ) ), =( c1, X ) ] )
% 0.44/1.10 , clause( 51, [ =( c2, X ), ~( =( c1, X ) ) ] )
% 0.44/1.10 , clause( 52, [ ~( =( c2, c1 ) ) ] )
% 0.44/1.10 ] ).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 subsumption(
% 0.44/1.10 clause( 18, [ ~( =( c2, X ) ), =( c1, X ) ] )
% 0.44/1.10 , clause( 50, [ ~( =( c2, X ) ), =( c1, X ) ] )
% 0.44/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.44/1.10 1 )] ) ).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 subsumption(
% 0.44/1.10 clause( 20, [ ~( =( c2, c1 ) ) ] )
% 0.44/1.10 , clause( 52, [ ~( =( c2, c1 ) ) ] )
% 0.44/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 eqswap(
% 0.44/1.10 clause( 87, [ ~( =( X, c2 ) ), =( c1, X ) ] )
% 0.44/1.10 , clause( 18, [ ~( =( c2, X ) ), =( c1, X ) ] )
% 0.44/1.10 , 0, substitution( 0, [ :=( X, X )] )).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 eqrefl(
% 0.44/1.10 clause( 90, [ =( c1, c2 ) ] )
% 0.44/1.10 , clause( 87, [ ~( =( X, c2 ) ), =( c1, X ) ] )
% 0.44/1.10 , 0, substitution( 0, [ :=( X, c2 )] )).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 eqswap(
% 0.44/1.10 clause( 91, [ =( c2, c1 ) ] )
% 0.44/1.10 , clause( 90, [ =( c1, c2 ) ] )
% 0.44/1.10 , 0, substitution( 0, [] )).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 subsumption(
% 0.44/1.10 clause( 29, [ =( c2, c1 ) ] )
% 0.44/1.10 , clause( 91, [ =( c2, c1 ) ] )
% 0.44/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 paramod(
% 0.44/1.10 clause( 94, [ ~( =( c1, c1 ) ) ] )
% 0.44/1.10 , clause( 29, [ =( c2, c1 ) ] )
% 0.44/1.10 , 0, clause( 20, [ ~( =( c2, c1 ) ) ] )
% 0.44/1.10 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 eqrefl(
% 0.44/1.10 clause( 95, [] )
% 0.44/1.10 , clause( 94, [ ~( =( c1, c1 ) ) ] )
% 0.44/1.10 , 0, substitution( 0, [] )).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 subsumption(
% 0.44/1.10 clause( 30, [] )
% 0.44/1.10 , clause( 95, [] )
% 0.44/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 end.
% 0.44/1.10
% 0.44/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.10
% 0.44/1.10 Memory use:
% 0.44/1.10
% 0.44/1.10 space for terms: 875
% 0.44/1.10 space for clauses: 1525
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 clauses generated: 40
% 0.44/1.10 clauses kept: 31
% 0.44/1.10 clauses selected: 0
% 0.44/1.10 clauses deleted: 1
% 0.44/1.10 clauses inuse deleted: 0
% 0.44/1.10
% 0.44/1.10 subsentry: 231
% 0.44/1.10 literals s-matched: 104
% 0.44/1.10 literals matched: 90
% 0.44/1.10 full subsumption: 22
% 0.44/1.10
% 0.44/1.10 checksum: 135791580
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 Bliksem ended
%------------------------------------------------------------------------------