TSTP Solution File: CAT006-3 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : CAT006-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 0.71s 1.11s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT006-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n027.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 18:09:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.71/1.11 *** allocated 10000 integers for termspace/termends
% 0.71/1.11 *** allocated 10000 integers for clauses
% 0.71/1.11 *** allocated 10000 integers for justifications
% 0.71/1.11 Bliksem 1.12
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Automatic Strategy Selection
% 0.71/1.11
% 0.71/1.11 Clauses:
% 0.71/1.11 [
% 0.71/1.11 [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ],
% 0.71/1.11 [ ~( equivalent( X, Y ) ), =( X, Y ) ],
% 0.71/1.11 [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ],
% 0.71/1.11 [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ],
% 0.71/1.11 [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ],
% 0.71/1.11 [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain( X ) )
% 0.71/1.11 ],
% 0.71/1.11 [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ), codomain( Y )
% 0.71/1.11 ) ],
% 0.71/1.11 [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ), codomain( Y ) )
% 0.71/1.11 ), 'there_exists'( compose( X, Y ) ) ],
% 0.71/1.11 [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z ) ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ =( compose( X, domain( X ) ), X ) ],
% 0.71/1.11 [ =( compose( codomain( X ), X ), X ) ],
% 0.71/1.11 [ ~( equivalent( X, Y ) ), 'there_exists'( Y ) ],
% 0.71/1.11 [ ~( 'there_exists'( X ) ), ~( 'there_exists'( Y ) ), ~( =( X, Y ) ),
% 0.71/1.11 equivalent( X, Y ) ],
% 0.71/1.11 [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( codomain( X )
% 0.71/1.11 ) ],
% 0.71/1.11 [ 'there_exists'( f1( X, Y ) ), =( X, Y ) ],
% 0.71/1.11 [ =( X, f1( X, Y ) ), =( Y, f1( X, Y ) ), =( X, Y ) ],
% 0.71/1.11 [ ~( =( X, f1( X, Y ) ) ), ~( =( Y, f1( X, Y ) ) ), =( X, Y ) ],
% 0.71/1.11 [ 'there_exists'( compose( d, a ) ) ],
% 0.71/1.11 [ ~( 'there_exists'( compose( X, d ) ) ), =( compose( X, d ), X ) ],
% 0.71/1.11 [ ~( 'there_exists'( compose( d, X ) ) ), =( compose( d, X ), X ) ],
% 0.71/1.11 [ ~( =( codomain( a ), d ) ) ]
% 0.71/1.11 ] .
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 percentage equality = 0.435897, percentage horn = 0.900000
% 0.71/1.11 This is a problem with some equality
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Options Used:
% 0.71/1.11
% 0.71/1.11 useres = 1
% 0.71/1.11 useparamod = 1
% 0.71/1.11 useeqrefl = 1
% 0.71/1.11 useeqfact = 1
% 0.71/1.11 usefactor = 1
% 0.71/1.11 usesimpsplitting = 0
% 0.71/1.11 usesimpdemod = 5
% 0.71/1.11 usesimpres = 3
% 0.71/1.11
% 0.71/1.11 resimpinuse = 1000
% 0.71/1.11 resimpclauses = 20000
% 0.71/1.11 substype = eqrewr
% 0.71/1.11 backwardsubs = 1
% 0.71/1.11 selectoldest = 5
% 0.71/1.11
% 0.71/1.11 litorderings [0] = split
% 0.71/1.11 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.11
% 0.71/1.11 termordering = kbo
% 0.71/1.11
% 0.71/1.11 litapriori = 0
% 0.71/1.11 termapriori = 1
% 0.71/1.11 litaposteriori = 0
% 0.71/1.11 termaposteriori = 0
% 0.71/1.11 demodaposteriori = 0
% 0.71/1.11 ordereqreflfact = 0
% 0.71/1.11
% 0.71/1.11 litselect = negord
% 0.71/1.11
% 0.71/1.11 maxweight = 15
% 0.71/1.11 maxdepth = 30000
% 0.71/1.11 maxlength = 115
% 0.71/1.11 maxnrvars = 195
% 0.71/1.11 excuselevel = 1
% 0.71/1.11 increasemaxweight = 1
% 0.71/1.11
% 0.71/1.11 maxselected = 10000000
% 0.71/1.11 maxnrclauses = 10000000
% 0.71/1.11
% 0.71/1.11 showgenerated = 0
% 0.71/1.11 showkept = 0
% 0.71/1.11 showselected = 0
% 0.71/1.11 showdeleted = 0
% 0.71/1.11 showresimp = 1
% 0.71/1.11 showstatus = 2000
% 0.71/1.11
% 0.71/1.11 prologoutput = 1
% 0.71/1.11 nrgoals = 5000000
% 0.71/1.11 totalproof = 1
% 0.71/1.11
% 0.71/1.11 Symbols occurring in the translation:
% 0.71/1.11
% 0.71/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.11 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.71/1.11 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.71/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.11 equivalent [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.71/1.11 'there_exists' [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.71/1.11 domain [43, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.71/1.11 codomain [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.71/1.11 compose [45, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.71/1.11 f1 [47, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.71/1.11 d [48, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.71/1.11 a [49, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Starting Search:
% 0.71/1.11
% 0.71/1.11 Resimplifying inuse:
% 0.71/1.11 Done
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Bliksems!, er is een bewijs:
% 0.71/1.11 % SZS status Unsatisfiable
% 0.71/1.11 % SZS output start Refutation
% 0.71/1.11
% 0.71/1.11 clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain(
% 0.71/1.11 X ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.71/1.11 codomain( Y ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 16, [ 'there_exists'( compose( d, a ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 17, [ ~( 'there_exists'( compose( X, d ) ) ), =( compose( X, d ), X
% 0.71/1.11 ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 19, [ ~( =( codomain( a ), d ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 78, [ 'there_exists'( domain( d ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 80, [ 'there_exists'( d ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 95, [ =( domain( d ), codomain( a ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 1131, [ =( codomain( d ), d ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 1144, [ =( compose( d, d ), d ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 1158, [ =( codomain( a ), d ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 1163, [] )
% 0.71/1.11 .
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 % SZS output end Refutation
% 0.71/1.11 found a proof!
% 0.71/1.11
% 0.71/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.11
% 0.71/1.11 initialclauses(
% 0.71/1.11 [ clause( 1165, [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ] )
% 0.71/1.11 , clause( 1166, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 0.71/1.11 , clause( 1167, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X,
% 0.71/1.11 Y ) ] )
% 0.71/1.11 , clause( 1168, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ]
% 0.71/1.11 )
% 0.71/1.11 , clause( 1169, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X )
% 0.71/1.11 ] )
% 0.71/1.11 , clause( 1170, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 0.71/1.11 domain( X ) ) ] )
% 0.71/1.11 , clause( 1171, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.71/1.11 codomain( Y ) ) ] )
% 0.71/1.11 , clause( 1172, [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ),
% 0.71/1.11 codomain( Y ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 0.71/1.11 , clause( 1173, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y
% 0.71/1.11 ), Z ) ) ] )
% 0.71/1.11 , clause( 1174, [ =( compose( X, domain( X ) ), X ) ] )
% 0.71/1.11 , clause( 1175, [ =( compose( codomain( X ), X ), X ) ] )
% 0.71/1.11 , clause( 1176, [ ~( equivalent( X, Y ) ), 'there_exists'( Y ) ] )
% 0.71/1.11 , clause( 1177, [ ~( 'there_exists'( X ) ), ~( 'there_exists'( Y ) ), ~(
% 0.71/1.11 =( X, Y ) ), equivalent( X, Y ) ] )
% 0.71/1.11 , clause( 1178, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 0.71/1.11 codomain( X ) ) ] )
% 0.71/1.11 , clause( 1179, [ 'there_exists'( f1( X, Y ) ), =( X, Y ) ] )
% 0.71/1.11 , clause( 1180, [ =( X, f1( X, Y ) ), =( Y, f1( X, Y ) ), =( X, Y ) ] )
% 0.71/1.11 , clause( 1181, [ ~( =( X, f1( X, Y ) ) ), ~( =( Y, f1( X, Y ) ) ), =( X, Y
% 0.71/1.11 ) ] )
% 0.71/1.11 , clause( 1182, [ 'there_exists'( compose( d, a ) ) ] )
% 0.71/1.11 , clause( 1183, [ ~( 'there_exists'( compose( X, d ) ) ), =( compose( X, d
% 0.71/1.11 ), X ) ] )
% 0.71/1.11 , clause( 1184, [ ~( 'there_exists'( compose( d, X ) ) ), =( compose( d, X
% 0.71/1.11 ), X ) ] )
% 0.71/1.11 , clause( 1185, [ ~( =( codomain( a ), d ) ) ] )
% 0.71/1.11 ] ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 0.71/1.11 , clause( 1168, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ]
% 0.71/1.12 )
% 0.71/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.71/1.12 1 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain(
% 0.71/1.12 X ) ) ] )
% 0.71/1.12 , clause( 1170, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 0.71/1.12 domain( X ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.12 ), ==>( 1, 1 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.71/1.12 codomain( Y ) ) ] )
% 0.71/1.12 , clause( 1171, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.71/1.12 codomain( Y ) ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.12 ), ==>( 1, 1 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 0.71/1.12 , clause( 1175, [ =( compose( codomain( X ), X ), X ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 16, [ 'there_exists'( compose( d, a ) ) ] )
% 0.71/1.12 , clause( 1182, [ 'there_exists'( compose( d, a ) ) ] )
% 0.71/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 17, [ ~( 'there_exists'( compose( X, d ) ) ), =( compose( X, d ), X
% 0.71/1.12 ) ] )
% 0.71/1.12 , clause( 1183, [ ~( 'there_exists'( compose( X, d ) ) ), =( compose( X, d
% 0.71/1.12 ), X ) ] )
% 0.71/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.71/1.12 1 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 19, [ ~( =( codomain( a ), d ) ) ] )
% 0.71/1.12 , clause( 1185, [ ~( =( codomain( a ), d ) ) ] )
% 0.71/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 1288, [ 'there_exists'( domain( d ) ) ] )
% 0.71/1.12 , clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 0.71/1.12 domain( X ) ) ] )
% 0.71/1.12 , 0, clause( 16, [ 'there_exists'( compose( d, a ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, d ), :=( Y, a )] ), substitution( 1, [] )
% 0.71/1.12 ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 78, [ 'there_exists'( domain( d ) ) ] )
% 0.71/1.12 , clause( 1288, [ 'there_exists'( domain( d ) ) ] )
% 0.71/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 1289, [ 'there_exists'( d ) ] )
% 0.71/1.12 , clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 0.71/1.12 , 0, clause( 78, [ 'there_exists'( domain( d ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, d )] ), substitution( 1, [] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 80, [ 'there_exists'( d ) ] )
% 0.71/1.12 , clause( 1289, [ 'there_exists'( d ) ] )
% 0.71/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 1290, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'( compose(
% 0.71/1.12 X, Y ) ) ) ] )
% 0.71/1.12 , clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.71/1.12 codomain( Y ) ) ] )
% 0.71/1.12 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 1291, [ =( codomain( a ), domain( d ) ) ] )
% 0.71/1.12 , clause( 1290, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 0.71/1.12 compose( X, Y ) ) ) ] )
% 0.71/1.12 , 1, clause( 16, [ 'there_exists'( compose( d, a ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, d ), :=( Y, a )] ), substitution( 1, [] )
% 0.71/1.12 ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 1292, [ =( domain( d ), codomain( a ) ) ] )
% 0.71/1.12 , clause( 1291, [ =( codomain( a ), domain( d ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 95, [ =( domain( d ), codomain( a ) ) ] )
% 0.71/1.12 , clause( 1292, [ =( domain( d ), codomain( a ) ) ] )
% 0.71/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 1294, [ =( X, compose( X, d ) ), ~( 'there_exists'( compose( X, d )
% 0.71/1.12 ) ) ] )
% 0.71/1.12 , clause( 17, [ ~( 'there_exists'( compose( X, d ) ) ), =( compose( X, d )
% 0.71/1.12 , X ) ] )
% 0.71/1.12 , 1, substitution( 0, [ :=( X, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 1307, [ ~( 'there_exists'( d ) ), =( codomain( d ), compose(
% 0.71/1.12 codomain( d ), d ) ) ] )
% 0.71/1.12 , clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 0.71/1.12 , 0, clause( 1294, [ =( X, compose( X, d ) ), ~( 'there_exists'( compose( X
% 0.71/1.12 , d ) ) ) ] )
% 0.71/1.12 , 1, 2, substitution( 0, [ :=( X, d )] ), substitution( 1, [ :=( X,
% 0.71/1.12 codomain( d ) )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 1308, [ =( codomain( d ), d ), ~( 'there_exists'( d ) ) ] )
% 0.71/1.12 , clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 0.71/1.12 , 0, clause( 1307, [ ~( 'there_exists'( d ) ), =( codomain( d ), compose(
% 0.71/1.12 codomain( d ), d ) ) ] )
% 0.71/1.12 , 1, 3, substitution( 0, [ :=( X, d )] ), substitution( 1, [] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 1311, [ =( codomain( d ), d ) ] )
% 0.71/1.12 , clause( 1308, [ =( codomain( d ), d ), ~( 'there_exists'( d ) ) ] )
% 0.71/1.12 , 1, clause( 80, [ 'there_exists'( d ) ] )
% 0.71/1.12 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 1131, [ =( codomain( d ), d ) ] )
% 0.71/1.12 , clause( 1311, [ =( codomain( d ), d ) ] )
% 0.71/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 1314, [ =( X, compose( codomain( X ), X ) ) ] )
% 0.71/1.12 , clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 0.71/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 1315, [ =( d, compose( d, d ) ) ] )
% 0.71/1.12 , clause( 1131, [ =( codomain( d ), d ) ] )
% 0.71/1.12 , 0, clause( 1314, [ =( X, compose( codomain( X ), X ) ) ] )
% 0.71/1.12 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, d )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 1316, [ =( compose( d, d ), d ) ] )
% 0.71/1.12 , clause( 1315, [ =( d, compose( d, d ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 1144, [ =( compose( d, d ), d ) ] )
% 0.71/1.12 , clause( 1316, [ =( compose( d, d ), d ) ] )
% 0.71/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 1318, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'( compose(
% 0.71/1.12 X, Y ) ) ) ] )
% 0.71/1.12 , clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 0.71/1.12 codomain( Y ) ) ] )
% 0.71/1.12 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 1321, [ ~( 'there_exists'( d ) ), =( codomain( d ), domain( d ) ) ]
% 0.71/1.12 )
% 0.71/1.12 , clause( 1144, [ =( compose( d, d ), d ) ] )
% 0.71/1.12 , 0, clause( 1318, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 0.71/1.12 compose( X, Y ) ) ) ] )
% 0.71/1.12 , 1, 2, substitution( 0, [] ), substitution( 1, [ :=( X, d ), :=( Y, d )] )
% 0.71/1.12 ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 1322, [ =( codomain( d ), codomain( a ) ), ~( 'there_exists'( d ) )
% 0.71/1.12 ] )
% 0.71/1.12 , clause( 95, [ =( domain( d ), codomain( a ) ) ] )
% 0.71/1.12 , 0, clause( 1321, [ ~( 'there_exists'( d ) ), =( codomain( d ), domain( d
% 0.71/1.12 ) ) ] )
% 0.71/1.12 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 paramod(
% 0.71/1.12 clause( 1323, [ =( d, codomain( a ) ), ~( 'there_exists'( d ) ) ] )
% 0.71/1.12 , clause( 1131, [ =( codomain( d ), d ) ] )
% 0.71/1.12 , 0, clause( 1322, [ =( codomain( d ), codomain( a ) ), ~( 'there_exists'(
% 0.71/1.12 d ) ) ] )
% 0.71/1.12 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 1324, [ =( d, codomain( a ) ) ] )
% 0.71/1.12 , clause( 1323, [ =( d, codomain( a ) ), ~( 'there_exists'( d ) ) ] )
% 0.71/1.12 , 1, clause( 80, [ 'there_exists'( d ) ] )
% 0.71/1.12 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 eqswap(
% 0.71/1.12 clause( 1325, [ =( codomain( a ), d ) ] )
% 0.71/1.12 , clause( 1324, [ =( d, codomain( a ) ) ] )
% 0.71/1.12 , 0, substitution( 0, [] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 1158, [ =( codomain( a ), d ) ] )
% 0.71/1.12 , clause( 1325, [ =( codomain( a ), d ) ] )
% 0.71/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 resolution(
% 0.71/1.12 clause( 1328, [] )
% 0.71/1.12 , clause( 19, [ ~( =( codomain( a ), d ) ) ] )
% 0.71/1.12 , 0, clause( 1158, [ =( codomain( a ), d ) ] )
% 0.71/1.12 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 subsumption(
% 0.71/1.12 clause( 1163, [] )
% 0.71/1.12 , clause( 1328, [] )
% 0.71/1.12 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 end.
% 0.71/1.12
% 0.71/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.12
% 0.71/1.12 Memory use:
% 0.71/1.12
% 0.71/1.12 space for terms: 14464
% 0.71/1.12 space for clauses: 60006
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 clauses generated: 3089
% 0.71/1.12 clauses kept: 1164
% 0.71/1.12 clauses selected: 68
% 0.71/1.12 clauses deleted: 3
% 0.71/1.12 clauses inuse deleted: 2
% 0.71/1.12
% 0.71/1.12 subsentry: 7139
% 0.71/1.12 literals s-matched: 5853
% 0.71/1.12 literals matched: 5347
% 0.71/1.12 full subsumption: 1937
% 0.71/1.12
% 0.71/1.12 checksum: -1032444416
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Bliksem ended
%------------------------------------------------------------------------------