TSTP Solution File: CAT018-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : CAT018-1 : 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 : Thu Jul 14 23:54:15 EDT 2022
% Result : Unsatisfiable 0.76s 1.35s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : CAT018-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n024.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 16:43:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.76/1.35 *** allocated 10000 integers for termspace/termends
% 0.76/1.35 *** allocated 10000 integers for clauses
% 0.76/1.35 *** allocated 10000 integers for justifications
% 0.76/1.35 Bliksem 1.12
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 Automatic Strategy Selection
% 0.76/1.35
% 0.76/1.35 Clauses:
% 0.76/1.35 [
% 0.76/1.35 [ ~( defined( X, Y ) ), product( X, Y, compose( X, Y ) ) ],
% 0.76/1.35 [ ~( product( X, Y, Z ) ), defined( X, Y ) ],
% 0.76/1.35 [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y, T ) ],
% 0.76/1.35 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( defined( Z, T ) )
% 0.76/1.35 , defined( X, U ) ],
% 0.76/1.35 [ ~( product( X, Y, Z ) ), ~( product( Z, T, U ) ), ~( product( Y, T, W
% 0.76/1.35 ) ), product( X, W, U ) ],
% 0.76/1.35 [ ~( product( X, Y, Z ) ), ~( defined( T, Z ) ), defined( T, X ) ],
% 0.76/1.35 [ ~( product( X, Y, Z ) ), ~( product( T, X, U ) ), ~( defined( T, Z ) )
% 0.76/1.35 , defined( U, Y ) ],
% 0.76/1.35 [ ~( product( X, Y, Z ) ), ~( product( T, Z, U ) ), ~( product( T, X, W
% 0.76/1.35 ) ), product( W, Y, U ) ],
% 0.76/1.35 [ ~( defined( X, Y ) ), ~( defined( Y, Z ) ), ~( 'identity_map'( Y ) ),
% 0.76/1.35 defined( X, Z ) ],
% 0.76/1.35 [ 'identity_map'( domain( X ) ) ],
% 0.76/1.35 [ 'identity_map'( codomain( X ) ) ],
% 0.76/1.35 [ defined( X, domain( X ) ) ],
% 0.76/1.35 [ defined( codomain( X ), X ) ],
% 0.76/1.35 [ product( X, domain( X ), X ) ],
% 0.76/1.35 [ product( codomain( X ), X, X ) ],
% 0.76/1.35 [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product( X, Y, Y ) ]
% 0.76/1.35 ,
% 0.76/1.35 [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product( X, Y, X ) ]
% 0.76/1.35 ,
% 0.76/1.35 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 0.76/1.35 [ defined( a, b ) ],
% 0.76/1.35 [ defined( b, c ) ],
% 0.76/1.35 [ ~( defined( a, compose( b, c ) ) ) ]
% 0.76/1.35 ] .
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 percentage equality = 0.020833, percentage horn = 1.000000
% 0.76/1.35 This is a problem with some equality
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 Options Used:
% 0.76/1.35
% 0.76/1.35 useres = 1
% 0.76/1.35 useparamod = 1
% 0.76/1.35 useeqrefl = 1
% 0.76/1.35 useeqfact = 1
% 0.76/1.35 usefactor = 1
% 0.76/1.35 usesimpsplitting = 0
% 0.76/1.35 usesimpdemod = 5
% 0.76/1.35 usesimpres = 3
% 0.76/1.35
% 0.76/1.35 resimpinuse = 1000
% 0.76/1.35 resimpclauses = 20000
% 0.76/1.35 substype = eqrewr
% 0.76/1.35 backwardsubs = 1
% 0.76/1.35 selectoldest = 5
% 0.76/1.35
% 0.76/1.35 litorderings [0] = split
% 0.76/1.35 litorderings [1] = extend the termordering, first sorting on arguments
% 0.76/1.35
% 0.76/1.35 termordering = kbo
% 0.76/1.35
% 0.76/1.35 litapriori = 0
% 0.76/1.35 termapriori = 1
% 0.76/1.35 litaposteriori = 0
% 0.76/1.35 termaposteriori = 0
% 0.76/1.35 demodaposteriori = 0
% 0.76/1.35 ordereqreflfact = 0
% 0.76/1.35
% 0.76/1.35 litselect = negord
% 0.76/1.35
% 0.76/1.35 maxweight = 15
% 0.76/1.35 maxdepth = 30000
% 0.76/1.35 maxlength = 115
% 0.76/1.35 maxnrvars = 195
% 0.76/1.35 excuselevel = 1
% 0.76/1.35 increasemaxweight = 1
% 0.76/1.35
% 0.76/1.35 maxselected = 10000000
% 0.76/1.35 maxnrclauses = 10000000
% 0.76/1.35
% 0.76/1.35 showgenerated = 0
% 0.76/1.35 showkept = 0
% 0.76/1.35 showselected = 0
% 0.76/1.35 showdeleted = 0
% 0.76/1.35 showresimp = 1
% 0.76/1.35 showstatus = 2000
% 0.76/1.35
% 0.76/1.35 prologoutput = 1
% 0.76/1.35 nrgoals = 5000000
% 0.76/1.35 totalproof = 1
% 0.76/1.35
% 0.76/1.35 Symbols occurring in the translation:
% 0.76/1.35
% 0.76/1.35 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.76/1.35 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 0.76/1.35 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.76/1.35 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.35 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.35 defined [41, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.76/1.35 compose [42, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.76/1.35 product [43, 3] (w:1, o:54, a:1, s:1, b:0),
% 0.76/1.35 'identity_map' [48, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.76/1.35 domain [49, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.76/1.35 codomain [50, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.76/1.35 a [52, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.76/1.35 b [53, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.76/1.35 c [54, 0] (w:1, o:18, a:1, s:1, b:0).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 Starting Search:
% 0.76/1.35
% 0.76/1.35 Resimplifying inuse:
% 0.76/1.35 Done
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 Intermediate Status:
% 0.76/1.35 Generated: 4671
% 0.76/1.35 Kept: 2011
% 0.76/1.35 Inuse: 131
% 0.76/1.35 Deleted: 0
% 0.76/1.35 Deletedinuse: 0
% 0.76/1.35
% 0.76/1.35 Resimplifying inuse:
% 0.76/1.35 Done
% 0.76/1.35
% 0.76/1.35 Resimplifying inuse:
% 0.76/1.35 Done
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 Intermediate Status:
% 0.76/1.35 Generated: 9714
% 0.76/1.35 Kept: 4039
% 0.76/1.35 Inuse: 221
% 0.76/1.35 Deleted: 4
% 0.76/1.35 Deletedinuse: 4
% 0.76/1.35
% 0.76/1.35 Resimplifying inuse:
% 0.76/1.35 Done
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 Bliksems!, er is een bewijs:
% 0.76/1.35 % SZS status Unsatisfiable
% 0.76/1.35 % SZS output start Refutation
% 0.76/1.35
% 0.76/1.35 clause( 0, [ ~( defined( X, Y ) ), product( X, Y, compose( X, Y ) ) ] )
% 0.76/1.35 .
% 0.76/1.35 clause( 2, [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y, T )
% 0.76/1.35 ] )
% 0.76/1.35 .
% 0.76/1.35 clause( 3, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( defined(
% 0.76/1.35 Z, T ) ), defined( X, U ) ] )
% 0.76/1.35 .
% 0.76/1.35 clause( 8, [ ~( defined( X, Y ) ), ~( defined( Y, Z ) ), ~( 'identity_map'(
% 0.76/1.35 Y ) ), defined( X, Z ) ] )
% 0.76/1.35 .
% 0.76/1.35 clause( 9, [ 'identity_map'( domain( X ) ) ] )
% 0.76/1.35 .
% 0.76/1.35 clause( 11, [ defined( X, domain( X ) ) ] )
% 0.76/1.35 .
% 0.76/1.35 clause( 13, [ product( X, domain( X ), X ) ] )
% 0.76/1.35 .
% 0.76/1.35 clause( 15, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product( X, Y
% 0.76/1.35 , Y ) ] )
% 0.76/1.35 .
% 0.76/1.35 clause( 18, [ defined( a, b ) ] )
% 0.76/1.35 .
% 0.76/1.35 clause( 19, [ defined( b, c ) ] )
% 0.76/1.35 .
% 0.76/1.35 clause( 20, [ ~( defined( a, compose( b, c ) ) ) ] )
% 0.76/1.35 .
% 0.76/1.35 clause( 31, [ product( b, c, compose( b, c ) ) ] )
% 0.76/1.35 .
% 0.76/1.35 clause( 46, [ ~( product( X, Y, a ) ), defined( Y, b ) ] )
% 0.76/1.35 .
% 0.76/1.35 clause( 55, [ defined( domain( a ), b ) ] )
% 0.76/1.35 .
% 0.76/1.35 clause( 69, [ ~( product( X, b, Y ) ), ~( defined( Y, c ) ), defined( X,
% 0.76/1.35 compose( b, c ) ) ] )
% 0.76/1.35 .
% 0.76/1.35 clause( 475, [ ~( defined( domain( X ), Y ) ), defined( X, Y ) ] )
% 0.76/1.35 .
% 0.76/1.35 clause( 571, [ product( domain( a ), b, b ) ] )
% 0.76/1.35 .
% 0.76/1.35 clause( 1380, [ ~( defined( domain( a ), compose( b, c ) ) ) ] )
% 0.76/1.35 .
% 0.76/1.35 clause( 4842, [ defined( domain( a ), compose( b, c ) ) ] )
% 0.76/1.35 .
% 0.76/1.35 clause( 4993, [] )
% 0.76/1.35 .
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 % SZS output end Refutation
% 0.76/1.35 found a proof!
% 0.76/1.35
% 0.76/1.35 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.35
% 0.76/1.35 initialclauses(
% 0.76/1.35 [ clause( 4995, [ ~( defined( X, Y ) ), product( X, Y, compose( X, Y ) ) ]
% 0.76/1.35 )
% 0.76/1.35 , clause( 4996, [ ~( product( X, Y, Z ) ), defined( X, Y ) ] )
% 0.76/1.35 , clause( 4997, [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y
% 0.76/1.35 , T ) ] )
% 0.76/1.35 , clause( 4998, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.76/1.35 defined( Z, T ) ), defined( X, U ) ] )
% 0.76/1.35 , clause( 4999, [ ~( product( X, Y, Z ) ), ~( product( Z, T, U ) ), ~(
% 0.76/1.35 product( Y, T, W ) ), product( X, W, U ) ] )
% 0.76/1.35 , clause( 5000, [ ~( product( X, Y, Z ) ), ~( defined( T, Z ) ), defined( T
% 0.76/1.35 , X ) ] )
% 0.76/1.35 , clause( 5001, [ ~( product( X, Y, Z ) ), ~( product( T, X, U ) ), ~(
% 0.76/1.35 defined( T, Z ) ), defined( U, Y ) ] )
% 0.76/1.35 , clause( 5002, [ ~( product( X, Y, Z ) ), ~( product( T, Z, U ) ), ~(
% 0.76/1.35 product( T, X, W ) ), product( W, Y, U ) ] )
% 0.76/1.35 , clause( 5003, [ ~( defined( X, Y ) ), ~( defined( Y, Z ) ), ~(
% 0.76/1.35 'identity_map'( Y ) ), defined( X, Z ) ] )
% 0.76/1.35 , clause( 5004, [ 'identity_map'( domain( X ) ) ] )
% 0.76/1.35 , clause( 5005, [ 'identity_map'( codomain( X ) ) ] )
% 0.76/1.35 , clause( 5006, [ defined( X, domain( X ) ) ] )
% 0.76/1.35 , clause( 5007, [ defined( codomain( X ), X ) ] )
% 0.76/1.35 , clause( 5008, [ product( X, domain( X ), X ) ] )
% 0.76/1.35 , clause( 5009, [ product( codomain( X ), X, X ) ] )
% 0.76/1.35 , clause( 5010, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product(
% 0.76/1.35 X, Y, Y ) ] )
% 0.76/1.35 , clause( 5011, [ ~( defined( X, Y ) ), ~( 'identity_map'( Y ) ), product(
% 0.76/1.35 X, Y, X ) ] )
% 0.76/1.35 , clause( 5012, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.76/1.35 ) ] )
% 0.76/1.35 , clause( 5013, [ defined( a, b ) ] )
% 0.76/1.35 , clause( 5014, [ defined( b, c ) ] )
% 0.76/1.35 , clause( 5015, [ ~( defined( a, compose( b, c ) ) ) ] )
% 0.76/1.35 ] ).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 subsumption(
% 0.76/1.35 clause( 0, [ ~( defined( X, Y ) ), product( X, Y, compose( X, Y ) ) ] )
% 0.76/1.35 , clause( 4995, [ ~( defined( X, Y ) ), product( X, Y, compose( X, Y ) ) ]
% 0.76/1.35 )
% 0.76/1.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.35 ), ==>( 1, 1 )] ) ).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 subsumption(
% 0.76/1.35 clause( 2, [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y, T )
% 0.76/1.35 ] )
% 0.76/1.35 , clause( 4997, [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y
% 0.76/1.35 , T ) ] )
% 0.76/1.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.76/1.35 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 subsumption(
% 0.76/1.35 clause( 3, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( defined(
% 0.76/1.35 Z, T ) ), defined( X, U ) ] )
% 0.76/1.35 , clause( 4998, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.76/1.35 defined( Z, T ) ), defined( X, U ) ] )
% 0.76/1.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.76/1.35 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3
% 0.76/1.35 , 3 )] ) ).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 subsumption(
% 0.76/1.35 clause( 8, [ ~( defined( X, Y ) ), ~( defined( Y, Z ) ), ~( 'identity_map'(
% 0.76/1.35 Y ) ), defined( X, Z ) ] )
% 0.76/1.35 , clause( 5003, [ ~( defined( X, Y ) ), ~( defined( Y, Z ) ), ~(
% 0.76/1.35 'identity_map'( Y ) ), defined( X, Z ) ] )
% 0.76/1.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.35 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.76/1.35 ).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 subsumption(
% 0.76/1.35 clause( 9, [ 'identity_map'( domain( X ) ) ] )
% 0.76/1.35 , clause( 5004, [ 'identity_map'( domain( X ) ) ] )
% 0.76/1.35 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 subsumption(
% 0.76/1.35 clause( 11, [ defined( X, domain( X ) ) ] )
% 0.76/1.35 , clause( 5006, [ defined( X, domain( X ) ) ] )
% 0.76/1.35 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 subsumption(
% 0.76/1.35 clause( 13, [ product( X, domain( X ), X ) ] )
% 0.76/1.35 , clause( 5008, [ product( X, domain( X ), X ) ] )
% 0.76/1.35 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 subsumption(
% 0.76/1.35 clause( 15, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product( X, Y
% 0.76/1.35 , Y ) ] )
% 0.76/1.35 , clause( 5010, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product(
% 0.76/1.35 X, Y, Y ) ] )
% 0.76/1.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.35 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 subsumption(
% 0.76/1.35 clause( 18, [ defined( a, b ) ] )
% 0.76/1.35 , clause( 5013, [ defined( a, b ) ] )
% 0.76/1.35 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 subsumption(
% 0.76/1.35 clause( 19, [ defined( b, c ) ] )
% 0.76/1.35 , clause( 5014, [ defined( b, c ) ] )
% 0.76/1.35 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 subsumption(
% 0.76/1.35 clause( 20, [ ~( defined( a, compose( b, c ) ) ) ] )
% 0.76/1.35 , clause( 5015, [ ~( defined( a, compose( b, c ) ) ) ] )
% 0.76/1.35 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 resolution(
% 0.76/1.35 clause( 5108, [ product( b, c, compose( b, c ) ) ] )
% 0.76/1.35 , clause( 0, [ ~( defined( X, Y ) ), product( X, Y, compose( X, Y ) ) ] )
% 0.76/1.35 , 0, clause( 19, [ defined( b, c ) ] )
% 0.76/1.35 , 0, substitution( 0, [ :=( X, b ), :=( Y, c )] ), substitution( 1, [] )
% 0.76/1.35 ).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 subsumption(
% 0.76/1.35 clause( 31, [ product( b, c, compose( b, c ) ) ] )
% 0.76/1.35 , clause( 5108, [ product( b, c, compose( b, c ) ) ] )
% 0.76/1.35 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 resolution(
% 0.76/1.35 clause( 5109, [ ~( product( X, Y, a ) ), defined( Y, b ) ] )
% 0.76/1.35 , clause( 2, [ ~( product( X, Y, Z ) ), ~( defined( Z, T ) ), defined( Y, T
% 0.76/1.35 ) ] )
% 0.76/1.35 , 1, clause( 18, [ defined( a, b ) ] )
% 0.76/1.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, a ), :=( T, b )] ),
% 0.76/1.35 substitution( 1, [] )).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 subsumption(
% 0.76/1.35 clause( 46, [ ~( product( X, Y, a ) ), defined( Y, b ) ] )
% 0.76/1.35 , clause( 5109, [ ~( product( X, Y, a ) ), defined( Y, b ) ] )
% 0.76/1.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.35 ), ==>( 1, 1 )] ) ).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 resolution(
% 0.76/1.35 clause( 5110, [ defined( domain( a ), b ) ] )
% 0.76/1.35 , clause( 46, [ ~( product( X, Y, a ) ), defined( Y, b ) ] )
% 0.76/1.35 , 0, clause( 13, [ product( X, domain( X ), X ) ] )
% 0.76/1.35 , 0, substitution( 0, [ :=( X, a ), :=( Y, domain( a ) )] ), substitution(
% 0.76/1.35 1, [ :=( X, a )] )).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 subsumption(
% 0.76/1.35 clause( 55, [ defined( domain( a ), b ) ] )
% 0.76/1.35 , clause( 5110, [ defined( domain( a ), b ) ] )
% 0.76/1.35 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 resolution(
% 0.76/1.35 clause( 5112, [ ~( product( X, b, Y ) ), ~( defined( Y, c ) ), defined( X,
% 0.76/1.35 compose( b, c ) ) ] )
% 0.76/1.35 , clause( 3, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( defined(
% 0.76/1.35 Z, T ) ), defined( X, U ) ] )
% 0.76/1.35 , 1, clause( 31, [ product( b, c, compose( b, c ) ) ] )
% 0.76/1.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, b ), :=( Z, Y ), :=( T, c ),
% 0.76/1.35 :=( U, compose( b, c ) )] ), substitution( 1, [] )).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 subsumption(
% 0.76/1.35 clause( 69, [ ~( product( X, b, Y ) ), ~( defined( Y, c ) ), defined( X,
% 0.76/1.35 compose( b, c ) ) ] )
% 0.76/1.35 , clause( 5112, [ ~( product( X, b, Y ) ), ~( defined( Y, c ) ), defined( X
% 0.76/1.35 , compose( b, c ) ) ] )
% 0.76/1.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.35 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 resolution(
% 0.76/1.35 clause( 5113, [ ~( defined( domain( X ), Y ) ), ~( 'identity_map'( domain(
% 0.76/1.35 X ) ) ), defined( X, Y ) ] )
% 0.76/1.35 , clause( 8, [ ~( defined( X, Y ) ), ~( defined( Y, Z ) ), ~(
% 0.76/1.35 'identity_map'( Y ) ), defined( X, Z ) ] )
% 0.76/1.35 , 0, clause( 11, [ defined( X, domain( X ) ) ] )
% 0.76/1.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, domain( X ) ), :=( Z, Y )] ),
% 0.76/1.35 substitution( 1, [ :=( X, X )] )).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 resolution(
% 0.76/1.35 clause( 5115, [ ~( defined( domain( X ), Y ) ), defined( X, Y ) ] )
% 0.76/1.35 , clause( 5113, [ ~( defined( domain( X ), Y ) ), ~( 'identity_map'( domain(
% 0.76/1.35 X ) ) ), defined( X, Y ) ] )
% 0.76/1.35 , 1, clause( 9, [ 'identity_map'( domain( X ) ) ] )
% 0.76/1.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.76/1.35 , X )] )).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 subsumption(
% 0.76/1.35 clause( 475, [ ~( defined( domain( X ), Y ) ), defined( X, Y ) ] )
% 0.76/1.35 , clause( 5115, [ ~( defined( domain( X ), Y ) ), defined( X, Y ) ] )
% 0.76/1.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.35 ), ==>( 1, 1 )] ) ).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 resolution(
% 0.76/1.35 clause( 5116, [ ~( 'identity_map'( domain( a ) ) ), product( domain( a ), b
% 0.76/1.35 , b ) ] )
% 0.76/1.35 , clause( 15, [ ~( defined( X, Y ) ), ~( 'identity_map'( X ) ), product( X
% 0.76/1.35 , Y, Y ) ] )
% 0.76/1.35 , 0, clause( 55, [ defined( domain( a ), b ) ] )
% 0.76/1.35 , 0, substitution( 0, [ :=( X, domain( a ) ), :=( Y, b )] ), substitution(
% 0.76/1.35 1, [] )).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 resolution(
% 0.76/1.35 clause( 5117, [ product( domain( a ), b, b ) ] )
% 0.76/1.35 , clause( 5116, [ ~( 'identity_map'( domain( a ) ) ), product( domain( a )
% 0.76/1.35 , b, b ) ] )
% 0.76/1.35 , 0, clause( 9, [ 'identity_map'( domain( X ) ) ] )
% 0.76/1.35 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 subsumption(
% 0.76/1.35 clause( 571, [ product( domain( a ), b, b ) ] )
% 0.76/1.35 , clause( 5117, [ product( domain( a ), b, b ) ] )
% 0.76/1.35 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 resolution(
% 0.76/1.35 clause( 5118, [ ~( defined( domain( a ), compose( b, c ) ) ) ] )
% 0.76/1.35 , clause( 20, [ ~( defined( a, compose( b, c ) ) ) ] )
% 0.76/1.35 , 0, clause( 475, [ ~( defined( domain( X ), Y ) ), defined( X, Y ) ] )
% 0.76/1.35 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, compose(
% 0.76/1.35 b, c ) )] )).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 subsumption(
% 0.76/1.35 clause( 1380, [ ~( defined( domain( a ), compose( b, c ) ) ) ] )
% 0.76/1.35 , clause( 5118, [ ~( defined( domain( a ), compose( b, c ) ) ) ] )
% 0.76/1.35 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 resolution(
% 0.76/1.35 clause( 5119, [ ~( defined( b, c ) ), defined( domain( a ), compose( b, c )
% 0.76/1.35 ) ] )
% 0.76/1.35 , clause( 69, [ ~( product( X, b, Y ) ), ~( defined( Y, c ) ), defined( X,
% 0.76/1.35 compose( b, c ) ) ] )
% 0.76/1.35 , 0, clause( 571, [ product( domain( a ), b, b ) ] )
% 0.76/1.35 , 0, substitution( 0, [ :=( X, domain( a ) ), :=( Y, b )] ), substitution(
% 0.76/1.35 1, [] )).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 resolution(
% 0.76/1.35 clause( 5120, [ defined( domain( a ), compose( b, c ) ) ] )
% 0.76/1.35 , clause( 5119, [ ~( defined( b, c ) ), defined( domain( a ), compose( b, c
% 0.76/1.35 ) ) ] )
% 0.76/1.35 , 0, clause( 19, [ defined( b, c ) ] )
% 0.76/1.35 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 subsumption(
% 0.76/1.35 clause( 4842, [ defined( domain( a ), compose( b, c ) ) ] )
% 0.76/1.35 , clause( 5120, [ defined( domain( a ), compose( b, c ) ) ] )
% 0.76/1.35 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 resolution(
% 0.76/1.35 clause( 5121, [] )
% 0.76/1.35 , clause( 1380, [ ~( defined( domain( a ), compose( b, c ) ) ) ] )
% 0.76/1.35 , 0, clause( 4842, [ defined( domain( a ), compose( b, c ) ) ] )
% 0.76/1.35 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 subsumption(
% 0.76/1.35 clause( 4993, [] )
% 0.76/1.35 , clause( 5121, [] )
% 0.76/1.35 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 end.
% 0.76/1.35
% 0.76/1.35 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.35
% 0.76/1.35 Memory use:
% 0.76/1.35
% 0.76/1.35 space for terms: 69463
% 0.76/1.35 space for clauses: 223634
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 clauses generated: 12840
% 0.76/1.35 clauses kept: 4994
% 0.76/1.35 clauses selected: 262
% 0.76/1.35 clauses deleted: 5
% 0.76/1.35 clauses inuse deleted: 4
% 0.76/1.35
% 0.76/1.35 subsentry: 194605
% 0.76/1.35 literals s-matched: 73862
% 0.76/1.35 literals matched: 56603
% 0.76/1.35 full subsumption: 34524
% 0.76/1.35
% 0.76/1.35 checksum: 1532164548
% 0.76/1.35
% 0.76/1.35
% 0.76/1.35 Bliksem ended
%------------------------------------------------------------------------------