TSTP Solution File: CAT011-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : CAT011-1 : 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 : Thu Jul 14 23:54:12 EDT 2022
% Result : Unsatisfiable 0.73s 1.18s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT011-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sun May 29 22:21:54 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.73/1.18 *** allocated 10000 integers for termspace/termends
% 0.73/1.18 *** allocated 10000 integers for clauses
% 0.73/1.18 *** allocated 10000 integers for justifications
% 0.73/1.18 Bliksem 1.12
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 Automatic Strategy Selection
% 0.73/1.18
% 0.73/1.18 Clauses:
% 0.73/1.18 [
% 0.73/1.18 [ ~( defined( X, Y ) ), product( X, Y, compose( X, Y ) ) ],
% 0.73/1.18 [ ~( product( X, Y, Z ) ), defined( X, Y ) ],
% 0.73/1.18 [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y, T ) ],
% 0.73/1.18 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( defined( Z, T ) )
% 0.73/1.18 , defined( X, U ) ],
% 0.73/1.18 [ ~( product( X, Y, Z ) ), ~( product( Z, T, U ) ), ~( product( Y, T, W
% 0.73/1.18 ) ), product( X, W, U ) ],
% 0.73/1.18 [ ~( product( X, Y, Z ) ), ~( defined( T, Z ) ), defined( T, X ) ],
% 0.73/1.18 [ ~( product( X, Y, Z ) ), ~( product( T, X, U ) ), ~( defined( T, Z ) )
% 0.73/1.18 , defined( U, Y ) ],
% 0.73/1.18 [ ~( product( X, Y, Z ) ), ~( product( T, Z, U ) ), ~( product( T, X, W
% 0.73/1.18 ) ), product( W, Y, U ) ],
% 0.73/1.18 [ ~( defined( X, Y ) ), ~( defined( Y, Z ) ), ~( 'identity_map'( Y ) ),
% 0.73/1.18 defined( X, Z ) ],
% 0.73/1.18 [ 'identity_map'( domain( X ) ) ],
% 0.73/1.18 [ 'identity_map'( codomain( X ) ) ],
% 0.73/1.18 [ defined( X, domain( X ) ) ],
% 0.73/1.18 [ defined( codomain( X ), X ) ],
% 0.73/1.18 [ product( X, domain( X ), X ) ],
% 0.73/1.18 [ product( codomain( X ), X, X ) ],
% 0.73/1.18 [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product( X, Y, Y ) ]
% 0.73/1.18 ,
% 0.73/1.18 [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product( X, Y, X ) ]
% 0.73/1.18 ,
% 0.73/1.18 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 0.73/1.18 [ ~( =( domain( domain( a ) ), domain( a ) ) ) ]
% 0.73/1.18 ] .
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 percentage equality = 0.043478, percentage horn = 1.000000
% 0.73/1.18 This is a problem with some equality
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 Options Used:
% 0.73/1.18
% 0.73/1.18 useres = 1
% 0.73/1.18 useparamod = 1
% 0.73/1.18 useeqrefl = 1
% 0.73/1.18 useeqfact = 1
% 0.73/1.18 usefactor = 1
% 0.73/1.18 usesimpsplitting = 0
% 0.73/1.18 usesimpdemod = 5
% 0.73/1.18 usesimpres = 3
% 0.73/1.18
% 0.73/1.18 resimpinuse = 1000
% 0.73/1.18 resimpclauses = 20000
% 0.73/1.18 substype = eqrewr
% 0.73/1.18 backwardsubs = 1
% 0.73/1.18 selectoldest = 5
% 0.73/1.18
% 0.73/1.18 litorderings [0] = split
% 0.73/1.18 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.18
% 0.73/1.18 termordering = kbo
% 0.73/1.18
% 0.73/1.18 litapriori = 0
% 0.73/1.18 termapriori = 1
% 0.73/1.18 litaposteriori = 0
% 0.73/1.18 termaposteriori = 0
% 0.73/1.18 demodaposteriori = 0
% 0.73/1.18 ordereqreflfact = 0
% 0.73/1.18
% 0.73/1.18 litselect = negord
% 0.73/1.18
% 0.73/1.18 maxweight = 15
% 0.73/1.18 maxdepth = 30000
% 0.73/1.18 maxlength = 115
% 0.73/1.18 maxnrvars = 195
% 0.73/1.18 excuselevel = 1
% 0.73/1.18 increasemaxweight = 1
% 0.73/1.18
% 0.73/1.18 maxselected = 10000000
% 0.73/1.18 maxnrclauses = 10000000
% 0.73/1.18
% 0.73/1.18 showgenerated = 0
% 0.73/1.18 showkept = 0
% 0.73/1.18 showselected = 0
% 0.73/1.18 showdeleted = 0
% 0.73/1.18 showresimp = 1
% 0.73/1.18 showstatus = 2000
% 0.73/1.18
% 0.73/1.18 prologoutput = 1
% 0.73/1.18 nrgoals = 5000000
% 0.73/1.18 totalproof = 1
% 0.73/1.18
% 0.73/1.18 Symbols occurring in the translation:
% 0.73/1.18
% 0.73/1.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.18 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 0.73/1.18 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.73/1.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.18 defined [41, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.73/1.18 compose [42, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.73/1.18 product [43, 3] (w:1, o:52, a:1, s:1, b:0),
% 0.73/1.18 'identity_map' [48, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.73/1.18 domain [49, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.73/1.18 codomain [50, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.73/1.18 a [52, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 Starting Search:
% 0.73/1.18
% 0.73/1.18 Resimplifying inuse:
% 0.73/1.18 Done
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 Intermediate Status:
% 0.73/1.18 Generated: 5037
% 0.73/1.18 Kept: 2250
% 0.73/1.18 Inuse: 126
% 0.73/1.18 Deleted: 1
% 0.73/1.18 Deletedinuse: 0
% 0.73/1.18
% 0.73/1.18 Resimplifying inuse:
% 0.73/1.18 Done
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 Bliksems!, er is een bewijs:
% 0.73/1.18 % SZS status Unsatisfiable
% 0.73/1.18 % SZS output start Refutation
% 0.73/1.18
% 0.73/1.18 clause( 9, [ 'identity_map'( domain( X ) ) ] )
% 0.73/1.18 .
% 0.73/1.18 clause( 11, [ defined( X, domain( X ) ) ] )
% 0.73/1.18 .
% 0.73/1.18 clause( 13, [ product( X, domain( X ), X ) ] )
% 0.73/1.18 .
% 0.73/1.18 clause( 15, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product( X, Y
% 0.73/1.18 , Y ) ] )
% 0.73/1.18 .
% 0.73/1.18 clause( 17, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.73/1.18 )
% 0.73/1.18 .
% 0.73/1.18 clause( 18, [ ~( =( domain( domain( a ) ), domain( a ) ) ) ] )
% 0.73/1.18 .
% 0.73/1.18 clause( 662, [ ~( product( X, domain( X ), Y ) ), =( X, Y ) ] )
% 0.73/1.18 .
% 0.73/1.18 clause( 1872, [ =( domain( X ), X ), ~( 'identity_map'( X ) ) ] )
% 0.73/1.18 .
% 0.73/1.18 clause( 2250, [] )
% 0.73/1.18 .
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 % SZS output end Refutation
% 0.73/1.18 found a proof!
% 0.73/1.18
% 0.73/1.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.18
% 0.73/1.18 initialclauses(
% 0.73/1.18 [ clause( 2252, [ ~( defined( X, Y ) ), product( X, Y, compose( X, Y ) ) ]
% 0.73/1.18 )
% 0.73/1.18 , clause( 2253, [ ~( product( X, Y, Z ) ), defined( X, Y ) ] )
% 0.73/1.18 , clause( 2254, [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y
% 0.73/1.18 , T ) ] )
% 0.73/1.18 , clause( 2255, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.73/1.18 defined( Z, T ) ), defined( X, U ) ] )
% 0.73/1.18 , clause( 2256, [ ~( product( X, Y, Z ) ), ~( product( Z, T, U ) ), ~(
% 0.73/1.18 product( Y, T, W ) ), product( X, W, U ) ] )
% 0.73/1.18 , clause( 2257, [ ~( product( X, Y, Z ) ), ~( defined( T, Z ) ), defined( T
% 0.73/1.18 , X ) ] )
% 0.73/1.18 , clause( 2258, [ ~( product( X, Y, Z ) ), ~( product( T, X, U ) ), ~(
% 0.73/1.18 defined( T, Z ) ), defined( U, Y ) ] )
% 0.73/1.18 , clause( 2259, [ ~( product( X, Y, Z ) ), ~( product( T, Z, U ) ), ~(
% 0.73/1.18 product( T, X, W ) ), product( W, Y, U ) ] )
% 0.73/1.18 , clause( 2260, [ ~( defined( X, Y ) ), ~( defined( Y, Z ) ), ~(
% 0.73/1.18 'identity_map'( Y ) ), defined( X, Z ) ] )
% 0.73/1.18 , clause( 2261, [ 'identity_map'( domain( X ) ) ] )
% 0.73/1.18 , clause( 2262, [ 'identity_map'( codomain( X ) ) ] )
% 0.73/1.18 , clause( 2263, [ defined( X, domain( X ) ) ] )
% 0.73/1.18 , clause( 2264, [ defined( codomain( X ), X ) ] )
% 0.73/1.18 , clause( 2265, [ product( X, domain( X ), X ) ] )
% 0.73/1.18 , clause( 2266, [ product( codomain( X ), X, X ) ] )
% 0.73/1.18 , clause( 2267, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product(
% 0.73/1.18 X, Y, Y ) ] )
% 0.73/1.18 , clause( 2268, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product(
% 0.73/1.18 X, Y, X ) ] )
% 0.73/1.18 , clause( 2269, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.73/1.18 ) ] )
% 0.73/1.18 , clause( 2270, [ ~( =( domain( domain( a ) ), domain( a ) ) ) ] )
% 0.73/1.18 ] ).
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 subsumption(
% 0.73/1.18 clause( 9, [ 'identity_map'( domain( X ) ) ] )
% 0.73/1.18 , clause( 2261, [ 'identity_map'( domain( X ) ) ] )
% 0.73/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 subsumption(
% 0.73/1.18 clause( 11, [ defined( X, domain( X ) ) ] )
% 0.73/1.18 , clause( 2263, [ defined( X, domain( X ) ) ] )
% 0.73/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 subsumption(
% 0.73/1.18 clause( 13, [ product( X, domain( X ), X ) ] )
% 0.73/1.18 , clause( 2265, [ product( X, domain( X ), X ) ] )
% 0.73/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 subsumption(
% 0.73/1.18 clause( 15, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product( X, Y
% 0.73/1.18 , Y ) ] )
% 0.73/1.18 , clause( 2267, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product(
% 0.73/1.18 X, Y, Y ) ] )
% 0.73/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.18 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 subsumption(
% 0.73/1.18 clause( 17, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.73/1.18 )
% 0.73/1.18 , clause( 2269, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.73/1.18 ) ] )
% 0.73/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.18 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 subsumption(
% 0.73/1.18 clause( 18, [ ~( =( domain( domain( a ) ), domain( a ) ) ) ] )
% 0.73/1.18 , clause( 2270, [ ~( =( domain( domain( a ) ), domain( a ) ) ) ] )
% 0.73/1.18 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 resolution(
% 0.73/1.18 clause( 2340, [ ~( product( X, domain( X ), Y ) ), =( X, Y ) ] )
% 0.73/1.18 , clause( 17, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 0.73/1.18 ] )
% 0.73/1.18 , 0, clause( 13, [ product( X, domain( X ), X ) ] )
% 0.73/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, domain( X ) ), :=( Z, X ), :=( T
% 0.73/1.18 , Y )] ), substitution( 1, [ :=( X, X )] )).
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 subsumption(
% 0.73/1.18 clause( 662, [ ~( product( X, domain( X ), Y ) ), =( X, Y ) ] )
% 0.73/1.18 , clause( 2340, [ ~( product( X, domain( X ), Y ) ), =( X, Y ) ] )
% 0.73/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.18 ), ==>( 1, 1 )] ) ).
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 eqswap(
% 0.73/1.18 clause( 2342, [ =( Y, X ), ~( product( X, domain( X ), Y ) ) ] )
% 0.73/1.18 , clause( 662, [ ~( product( X, domain( X ), Y ) ), =( X, Y ) ] )
% 0.73/1.18 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 resolution(
% 0.73/1.18 clause( 2343, [ =( domain( X ), X ), ~( defined( X, domain( X ) ) ), ~(
% 0.73/1.18 'identity_map'( X ) ) ] )
% 0.73/1.18 , clause( 2342, [ =( Y, X ), ~( product( X, domain( X ), Y ) ) ] )
% 0.73/1.18 , 1, clause( 15, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product(
% 0.73/1.18 X, Y, Y ) ] )
% 0.73/1.18 , 2, substitution( 0, [ :=( X, X ), :=( Y, domain( X ) )] ), substitution(
% 0.73/1.18 1, [ :=( X, X ), :=( Y, domain( X ) )] )).
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 resolution(
% 0.73/1.18 clause( 2344, [ =( domain( X ), X ), ~( 'identity_map'( X ) ) ] )
% 0.73/1.18 , clause( 2343, [ =( domain( X ), X ), ~( defined( X, domain( X ) ) ), ~(
% 0.73/1.18 'identity_map'( X ) ) ] )
% 0.73/1.18 , 1, clause( 11, [ defined( X, domain( X ) ) ] )
% 0.73/1.18 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.18 ).
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 subsumption(
% 0.73/1.18 clause( 1872, [ =( domain( X ), X ), ~( 'identity_map'( X ) ) ] )
% 0.73/1.18 , clause( 2344, [ =( domain( X ), X ), ~( 'identity_map'( X ) ) ] )
% 0.73/1.18 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.73/1.18 1 )] ) ).
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 eqswap(
% 0.73/1.18 clause( 2346, [ =( X, domain( X ) ), ~( 'identity_map'( X ) ) ] )
% 0.73/1.18 , clause( 1872, [ =( domain( X ), X ), ~( 'identity_map'( X ) ) ] )
% 0.73/1.18 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 eqswap(
% 0.73/1.18 clause( 2347, [ ~( =( domain( a ), domain( domain( a ) ) ) ) ] )
% 0.73/1.18 , clause( 18, [ ~( =( domain( domain( a ) ), domain( a ) ) ) ] )
% 0.73/1.18 , 0, substitution( 0, [] )).
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 resolution(
% 0.73/1.18 clause( 2348, [ ~( 'identity_map'( domain( a ) ) ) ] )
% 0.73/1.18 , clause( 2347, [ ~( =( domain( a ), domain( domain( a ) ) ) ) ] )
% 0.73/1.18 , 0, clause( 2346, [ =( X, domain( X ) ), ~( 'identity_map'( X ) ) ] )
% 0.73/1.18 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, domain( a ) )] )).
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 resolution(
% 0.73/1.18 clause( 2349, [] )
% 0.73/1.18 , clause( 2348, [ ~( 'identity_map'( domain( a ) ) ) ] )
% 0.73/1.18 , 0, clause( 9, [ 'identity_map'( domain( X ) ) ] )
% 0.73/1.18 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 subsumption(
% 0.73/1.18 clause( 2250, [] )
% 0.73/1.18 , clause( 2349, [] )
% 0.73/1.18 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 end.
% 0.73/1.18
% 0.73/1.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.18
% 0.73/1.18 Memory use:
% 0.73/1.18
% 0.73/1.18 space for terms: 31900
% 0.73/1.18 space for clauses: 105799
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 clauses generated: 5046
% 0.73/1.18 clauses kept: 2251
% 0.73/1.18 clauses selected: 127
% 0.73/1.18 clauses deleted: 10
% 0.73/1.18 clauses inuse deleted: 9
% 0.73/1.18
% 0.73/1.18 subsentry: 85298
% 0.73/1.18 literals s-matched: 33110
% 0.73/1.18 literals matched: 27532
% 0.73/1.18 full subsumption: 16988
% 0.73/1.18
% 0.73/1.18 checksum: 514806564
% 0.73/1.18
% 0.73/1.18
% 0.73/1.18 Bliksem ended
%------------------------------------------------------------------------------