TSTP Solution File: CAT010-4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : CAT010-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 23:54:11 EDT 2022
% Result : Unsatisfiable 4.47s 4.58s
% Output : Refutation 4.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CAT010-4 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun May 29 17:55:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 4.47/4.57 *** allocated 10000 integers for termspace/termends
% 4.47/4.57 *** allocated 10000 integers for clauses
% 4.47/4.57 *** allocated 10000 integers for justifications
% 4.47/4.57 Bliksem 1.12
% 4.47/4.57
% 4.47/4.57
% 4.47/4.57 Automatic Strategy Selection
% 4.47/4.57
% 4.47/4.57 Clauses:
% 4.47/4.57 [
% 4.47/4.57 [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ],
% 4.47/4.57 [ ~( equivalent( X, Y ) ), =( X, Y ) ],
% 4.47/4.57 [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ],
% 4.47/4.57 [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ],
% 4.47/4.57 [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ],
% 4.47/4.57 [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain( X ) )
% 4.47/4.57 ],
% 4.47/4.57 [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ), codomain( Y )
% 4.47/4.57 ) ],
% 4.47/4.57 [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ), codomain( Y ) )
% 4.47/4.57 ), 'there_exists'( compose( X, Y ) ) ],
% 4.47/4.57 [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z ) ) ]
% 4.47/4.57 ,
% 4.47/4.57 [ =( compose( X, domain( X ) ), X ) ],
% 4.47/4.57 [ =( compose( codomain( X ), X ), X ) ],
% 4.47/4.57 [ 'there_exists'( compose( a, b ) ) ],
% 4.47/4.57 [ ~( =( codomain( compose( a, b ) ), codomain( a ) ) ) ]
% 4.47/4.57 ] .
% 4.47/4.57
% 4.47/4.57
% 4.47/4.57 percentage equality = 0.347826, percentage horn = 1.000000
% 4.47/4.57 This is a problem with some equality
% 4.47/4.57
% 4.47/4.57
% 4.47/4.57
% 4.47/4.57 Options Used:
% 4.47/4.57
% 4.47/4.57 useres = 1
% 4.47/4.57 useparamod = 1
% 4.47/4.57 useeqrefl = 1
% 4.47/4.57 useeqfact = 1
% 4.47/4.57 usefactor = 1
% 4.47/4.57 usesimpsplitting = 0
% 4.47/4.57 usesimpdemod = 5
% 4.47/4.57 usesimpres = 3
% 4.47/4.57
% 4.47/4.57 resimpinuse = 1000
% 4.47/4.57 resimpclauses = 20000
% 4.47/4.57 substype = eqrewr
% 4.47/4.57 backwardsubs = 1
% 4.47/4.57 selectoldest = 5
% 4.47/4.57
% 4.47/4.57 litorderings [0] = split
% 4.47/4.57 litorderings [1] = extend the termordering, first sorting on arguments
% 4.47/4.57
% 4.47/4.57 termordering = kbo
% 4.47/4.57
% 4.47/4.57 litapriori = 0
% 4.47/4.57 termapriori = 1
% 4.47/4.57 litaposteriori = 0
% 4.47/4.57 termaposteriori = 0
% 4.47/4.57 demodaposteriori = 0
% 4.47/4.57 ordereqreflfact = 0
% 4.47/4.57
% 4.47/4.57 litselect = negord
% 4.47/4.57
% 4.47/4.57 maxweight = 15
% 4.47/4.57 maxdepth = 30000
% 4.47/4.57 maxlength = 115
% 4.47/4.57 maxnrvars = 195
% 4.47/4.57 excuselevel = 1
% 4.47/4.57 increasemaxweight = 1
% 4.47/4.57
% 4.47/4.57 maxselected = 10000000
% 4.47/4.57 maxnrclauses = 10000000
% 4.47/4.57
% 4.47/4.57 showgenerated = 0
% 4.47/4.57 showkept = 0
% 4.47/4.57 showselected = 0
% 4.47/4.57 showdeleted = 0
% 4.47/4.57 showresimp = 1
% 4.47/4.57 showstatus = 2000
% 4.47/4.57
% 4.47/4.57 prologoutput = 1
% 4.47/4.57 nrgoals = 5000000
% 4.47/4.57 totalproof = 1
% 4.47/4.57
% 4.47/4.57 Symbols occurring in the translation:
% 4.47/4.57
% 4.47/4.57 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.47/4.57 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 4.47/4.57 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 4.47/4.57 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.47/4.57 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.47/4.57 equivalent [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 4.47/4.57 'there_exists' [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 4.47/4.57 domain [43, 1] (w:1, o:21, a:1, s:1, b:0),
% 4.47/4.57 codomain [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 4.47/4.57 compose [45, 2] (w:1, o:48, a:1, s:1, b:0),
% 4.47/4.57 a [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 4.47/4.57 b [48, 0] (w:1, o:13, a:1, s:1, b:0).
% 4.47/4.57
% 4.47/4.57
% 4.47/4.57 Starting Search:
% 4.47/4.57
% 4.47/4.57 Resimplifying inuse:
% 4.47/4.57 Done
% 4.47/4.57
% 4.47/4.57
% 4.47/4.57 Intermediate Status:
% 4.47/4.57 Generated: 4873
% 4.47/4.57 Kept: 2013
% 4.47/4.57 Inuse: 160
% 4.47/4.57 Deleted: 21
% 4.47/4.57 Deletedinuse: 4
% 4.47/4.57
% 4.47/4.57 Resimplifying inuse:
% 4.47/4.57 Done
% 4.47/4.57
% 4.47/4.57 Resimplifying inuse:
% 4.47/4.57 Done
% 4.47/4.57
% 4.47/4.57
% 4.47/4.57 Intermediate Status:
% 4.47/4.57 Generated: 11249
% 4.47/4.57 Kept: 4030
% 4.47/4.57 Inuse: 243
% 4.47/4.57 Deleted: 44
% 4.47/4.57 Deletedinuse: 16
% 4.47/4.57
% 4.47/4.57 Resimplifying inuse:
% 4.47/4.57 Done
% 4.47/4.57
% 4.47/4.57 Resimplifying inuse:
% 4.47/4.57 Done
% 4.47/4.57
% 4.47/4.57
% 4.47/4.57 Intermediate Status:
% 4.47/4.57 Generated: 17239
% 4.47/4.57 Kept: 6149
% 4.47/4.57 Inuse: 314
% 4.47/4.57 Deleted: 70
% 4.47/4.57 Deletedinuse: 16
% 4.47/4.57
% 4.47/4.57 Resimplifying inuse:
% 4.47/4.57 Done
% 4.47/4.57
% 4.47/4.57 Resimplifying inuse:
% 4.47/4.57 Done
% 4.47/4.57
% 4.47/4.57
% 4.47/4.57 Intermediate Status:
% 4.47/4.57 Generated: 22446
% 4.47/4.57 Kept: 8167
% 4.47/4.57 Inuse: 344
% 4.47/4.57 Deleted: 72
% 4.47/4.57 Deletedinuse: 16
% 4.47/4.57
% 4.47/4.57 Resimplifying inuse:
% 4.47/4.57 Done
% 4.47/4.57
% 4.47/4.57 Resimplifying inuse:
% 4.47/4.57 Done
% 4.47/4.57
% 4.47/4.57
% 4.47/4.57 Intermediate Status:
% 4.47/4.57 Generated: 30139
% 4.47/4.57 Kept: 10215
% 4.47/4.57 Inuse: 380
% 4.47/4.57 Deleted: 80
% 4.47/4.57 Deletedinuse: 18
% 4.47/4.57
% 4.47/4.57 Resimplifying inuse:
% 4.47/4.57 Done
% 4.47/4.57
% 4.47/4.57 Resimplifying inuse:
% 4.47/4.57 Done
% 4.47/4.57
% 4.47/4.57
% 4.47/4.57 Intermediate Status:
% 4.47/4.57 Generated: 43447
% 4.47/4.57 Kept: 12265
% 4.47/4.57 Inuse: 432
% 4.47/4.57 Deleted: 166
% 4.47/4.57 Deletedinuse: 87
% 4.47/4.57
% 4.47/4.57 Resimplifying inuse:
% 4.47/4.57 Done
% 4.47/4.57
% 4.47/4.57 Resimplifying inuse:
% 4.47/4.57 Done
% 4.47/4.57
% 4.47/4.57
% 4.47/4.57 Intermediate Status:
% 4.47/4.57 Generated: 63786
% 4.47/4.57 Kept: 14336
% 4.47/4.57 Inuse: 539
% 4.47/4.57 Deleted: 300
% 4.47/4.57 Deletedinuse: 153
% 4.47/4.57
% 4.47/4.57 Resimplifying inuse:
% 4.47/4.57 Done
% 4.47/4.57
% 4.47/4.57 Resimplifying inuse:
% 4.47/4.57 Done
% 4.47/4.57
% 4.47/4.57
% 4.47/4.57 Intermediate Status:
% 4.47/4.57 Generated: 78282
% 4.47/4.57 Kept: 16389
% 4.47/4.57 Inuse: 587
% 4.47/4.57 Deleted: 370
% 4.47/4.57 Deletedinuse: 199
% 4.47/4.58
% 4.47/4.58 Resimplifying inuse:
% 4.47/4.58 Done
% 4.47/4.58
% 4.47/4.58
% 4.47/4.58 Bliksems!, er is een bewijs:
% 4.47/4.58 % SZS status Unsatisfiable
% 4.47/4.58 % SZS output start Refutation
% 4.47/4.58
% 4.47/4.58 clause( 1, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 4.47/4.58 .
% 4.47/4.58 clause( 2, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ]
% 4.47/4.58 )
% 4.47/4.58 .
% 4.47/4.58 clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 4.47/4.58 .
% 4.47/4.58 clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain(
% 4.47/4.58 X ) ) ] )
% 4.47/4.58 .
% 4.47/4.58 clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 4.47/4.58 codomain( Y ) ) ] )
% 4.47/4.58 .
% 4.47/4.58 clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z
% 4.47/4.58 ) ) ] )
% 4.47/4.58 .
% 4.47/4.58 clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 4.47/4.58 .
% 4.47/4.58 clause( 11, [ 'there_exists'( compose( a, b ) ) ] )
% 4.47/4.58 .
% 4.47/4.58 clause( 12, [ ~( =( codomain( compose( a, b ) ), codomain( a ) ) ) ] )
% 4.47/4.58 .
% 4.47/4.58 clause( 78, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( X ) ]
% 4.47/4.58 )
% 4.47/4.58 .
% 4.47/4.58 clause( 82, [ 'there_exists'( domain( a ) ) ] )
% 4.47/4.58 .
% 4.47/4.58 clause( 88, [ 'there_exists'( a ) ] )
% 4.47/4.58 .
% 4.47/4.58 clause( 94, [ 'there_exists'( X ), ~( equivalent( a, X ) ) ] )
% 4.47/4.58 .
% 4.47/4.58 clause( 98, [ 'there_exists'( X ), ~( =( a, X ) ) ] )
% 4.47/4.58 .
% 4.47/4.58 clause( 115, [ ~( 'there_exists'( X ) ), =( domain( codomain( X ) ),
% 4.47/4.58 codomain( X ) ) ] )
% 4.47/4.58 .
% 4.47/4.58 clause( 127, [ ~( =( compose( X, Y ), a ) ), =( domain( X ), codomain( Y )
% 4.47/4.58 ) ] )
% 4.47/4.58 .
% 4.47/4.58 clause( 200, [ =( compose( compose( Y, codomain( X ) ), X ), compose( Y, X
% 4.47/4.58 ) ) ] )
% 4.47/4.58 .
% 4.47/4.58 clause( 254, [ ~( =( domain( X ), codomain( a ) ) ), ~( 'there_exists'(
% 4.47/4.58 compose( compose( X, a ), b ) ) ) ] )
% 4.47/4.58 .
% 4.47/4.58 clause( 378, [ ~( 'there_exists'( X ) ), 'there_exists'( codomain( X ) ) ]
% 4.47/4.58 )
% 4.47/4.58 .
% 4.47/4.58 clause( 415, [ 'there_exists'( codomain( a ) ) ] )
% 4.47/4.58 .
% 4.47/4.58 clause( 9923, [ =( domain( codomain( codomain( a ) ) ), codomain( codomain(
% 4.47/4.58 a ) ) ) ] )
% 4.47/4.58 .
% 4.47/4.58 clause( 14504, [ =( compose( codomain( codomain( X ) ), X ), X ) ] )
% 4.47/4.58 .
% 4.47/4.58 clause( 14507, [ =( codomain( codomain( a ) ), codomain( a ) ) ] )
% 4.47/4.58 .
% 4.47/4.58 clause( 17380, [] )
% 4.47/4.58 .
% 4.47/4.58
% 4.47/4.58
% 4.47/4.58 % SZS output end Refutation
% 4.47/4.58 found a proof!
% 4.47/4.58
% 4.47/4.58 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.47/4.58
% 4.47/4.58 initialclauses(
% 4.47/4.58 [ clause( 17382, [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ] )
% 4.47/4.58 , clause( 17383, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 4.47/4.58 , clause( 17384, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X
% 4.47/4.58 , Y ) ] )
% 4.47/4.58 , clause( 17385, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X )
% 4.47/4.58 ] )
% 4.47/4.58 , clause( 17386, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X
% 4.47/4.58 ) ] )
% 4.47/4.58 , clause( 17387, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 4.47/4.58 domain( X ) ) ] )
% 4.47/4.58 , clause( 17388, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 4.47/4.58 codomain( Y ) ) ] )
% 4.47/4.58 , clause( 17389, [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ),
% 4.47/4.58 codomain( Y ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 4.47/4.58 , clause( 17390, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y
% 4.47/4.58 ), Z ) ) ] )
% 4.47/4.58 , clause( 17391, [ =( compose( X, domain( X ) ), X ) ] )
% 4.47/4.58 , clause( 17392, [ =( compose( codomain( X ), X ), X ) ] )
% 4.47/4.58 , clause( 17393, [ 'there_exists'( compose( a, b ) ) ] )
% 4.47/4.58 , clause( 17394, [ ~( =( codomain( compose( a, b ) ), codomain( a ) ) ) ]
% 4.47/4.58 )
% 4.47/4.58 ] ).
% 4.47/4.58
% 4.47/4.58
% 4.47/4.58
% 4.47/4.58 subsumption(
% 4.47/4.58 clause( 1, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 4.47/4.58 , clause( 17383, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 4.47/4.58 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.47/4.58 ), ==>( 1, 1 )] ) ).
% 4.47/4.58
% 4.47/4.58
% 4.47/4.58 subsumption(
% 4.47/4.58 clause( 2, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ]
% 4.47/4.58 )
% 4.47/4.58 , clause( 17384, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X
% 4.47/4.58 , Y ) ] )
% 4.47/4.58 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.47/4.58 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 4.47/4.58
% 4.47/4.58
% 4.47/4.58 subsumption(
% 4.47/4.58 clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 4.47/4.58 , clause( 17385, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X )
% 4.47/4.58 ] )
% 4.47/4.58 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 4.47/4.58 1 )] ) ).
% 4.47/4.58
% 4.47/4.58
% 4.47/4.58 subsumption(
% 4.47/4.58 clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain(
% 4.47/4.58 X ) ) ] )
% 4.47/4.58 , clause( 17387, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 4.47/4.58 domain( X ) ) ] )
% 4.47/4.58 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.47/4.58 ), ==>( 1, 1 )] ) ).
% 4.47/4.58
% 4.47/4.58
% 4.47/4.58 subsumption(
% 6.73/6.91 clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 6.73/6.91 codomain( Y ) ) ] )
% 6.73/6.91 , clause( 17388, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 6.73/6.91 codomain( Y ) ) ] )
% 6.73/6.91 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.73/6.91 ), ==>( 1, 1 )] ) ).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 subsumption(
% 6.73/6.91 clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z
% 6.73/6.91 ) ) ] )
% 6.73/6.91 , clause( 17390, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y
% 6.73/6.91 ), Z ) ) ] )
% 6.73/6.91 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.73/6.91 permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 subsumption(
% 6.73/6.91 clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 6.73/6.91 , clause( 17392, [ =( compose( codomain( X ), X ), X ) ] )
% 6.73/6.91 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 subsumption(
% 6.73/6.91 clause( 11, [ 'there_exists'( compose( a, b ) ) ] )
% 6.73/6.91 , clause( 17393, [ 'there_exists'( compose( a, b ) ) ] )
% 6.73/6.91 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 subsumption(
% 6.73/6.91 clause( 12, [ ~( =( codomain( compose( a, b ) ), codomain( a ) ) ) ] )
% 6.73/6.91 , clause( 17394, [ ~( =( codomain( compose( a, b ) ), codomain( a ) ) ) ]
% 6.73/6.91 )
% 6.73/6.91 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 resolution(
% 6.73/6.91 clause( 17433, [ 'there_exists'( X ), ~( 'there_exists'( compose( X, Y ) )
% 6.73/6.91 ) ] )
% 6.73/6.91 , clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 6.73/6.91 , 0, clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 6.73/6.91 domain( X ) ) ] )
% 6.73/6.91 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 6.73/6.91 , Y )] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 subsumption(
% 6.73/6.91 clause( 78, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( X ) ]
% 6.73/6.91 )
% 6.73/6.91 , clause( 17433, [ 'there_exists'( X ), ~( 'there_exists'( compose( X, Y )
% 6.73/6.91 ) ) ] )
% 6.73/6.91 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 6.73/6.91 ), ==>( 1, 0 )] ) ).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 resolution(
% 6.73/6.91 clause( 17434, [ 'there_exists'( domain( a ) ) ] )
% 6.73/6.91 , clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 6.73/6.91 domain( X ) ) ] )
% 6.73/6.91 , 0, clause( 11, [ 'there_exists'( compose( a, b ) ) ] )
% 6.73/6.91 , 0, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 6.73/6.91 ).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 subsumption(
% 6.73/6.91 clause( 82, [ 'there_exists'( domain( a ) ) ] )
% 6.73/6.91 , clause( 17434, [ 'there_exists'( domain( a ) ) ] )
% 6.73/6.91 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 resolution(
% 6.73/6.91 clause( 17435, [ 'there_exists'( a ) ] )
% 6.73/6.91 , clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 6.73/6.91 , 0, clause( 82, [ 'there_exists'( domain( a ) ) ] )
% 6.73/6.91 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 subsumption(
% 6.73/6.91 clause( 88, [ 'there_exists'( a ) ] )
% 6.73/6.91 , clause( 17435, [ 'there_exists'( a ) ] )
% 6.73/6.91 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 paramod(
% 6.73/6.91 clause( 17891, [ 'there_exists'( X ), ~( equivalent( a, X ) ) ] )
% 6.73/6.91 , clause( 1, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 6.73/6.91 , 1, clause( 88, [ 'there_exists'( a ) ] )
% 6.73/6.91 , 0, 1, substitution( 0, [ :=( X, a ), :=( Y, X )] ), substitution( 1, [] )
% 6.73/6.91 ).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 subsumption(
% 6.73/6.91 clause( 94, [ 'there_exists'( X ), ~( equivalent( a, X ) ) ] )
% 6.73/6.91 , clause( 17891, [ 'there_exists'( X ), ~( equivalent( a, X ) ) ] )
% 6.73/6.91 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.73/6.91 1 )] ) ).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 eqswap(
% 6.73/6.91 clause( 18345, [ ~( =( Y, X ) ), ~( 'there_exists'( X ) ), equivalent( X, Y
% 6.73/6.91 ) ] )
% 6.73/6.91 , clause( 2, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y )
% 6.73/6.91 ] )
% 6.73/6.91 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 resolution(
% 6.73/6.91 clause( 18346, [ 'there_exists'( X ), ~( =( X, a ) ), ~( 'there_exists'( a
% 6.73/6.91 ) ) ] )
% 6.73/6.91 , clause( 94, [ 'there_exists'( X ), ~( equivalent( a, X ) ) ] )
% 6.73/6.91 , 1, clause( 18345, [ ~( =( Y, X ) ), ~( 'there_exists'( X ) ), equivalent(
% 6.73/6.91 X, Y ) ] )
% 6.73/6.91 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, a ), :=( Y
% 6.73/6.91 , X )] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 resolution(
% 6.73/6.91 clause( 18347, [ 'there_exists'( X ), ~( =( X, a ) ) ] )
% 6.73/6.91 , clause( 18346, [ 'there_exists'( X ), ~( =( X, a ) ), ~( 'there_exists'(
% 6.73/6.91 a ) ) ] )
% 6.73/6.91 , 2, clause( 88, [ 'there_exists'( a ) ] )
% 6.73/6.91 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 eqswap(
% 6.73/6.91 clause( 18348, [ ~( =( a, X ) ), 'there_exists'( X ) ] )
% 6.73/6.91 , clause( 18347, [ 'there_exists'( X ), ~( =( X, a ) ) ] )
% 6.73/6.91 , 1, substitution( 0, [ :=( X, X )] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 subsumption(
% 6.73/6.91 clause( 98, [ 'there_exists'( X ), ~( =( a, X ) ) ] )
% 6.73/6.91 , clause( 18348, [ ~( =( a, X ) ), 'there_exists'( X ) ] )
% 6.73/6.91 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 6.73/6.91 0 )] ) ).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 eqswap(
% 6.73/6.91 clause( 18350, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 6.73/6.91 compose( X, Y ) ) ) ] )
% 6.73/6.91 , clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 6.73/6.91 codomain( Y ) ) ] )
% 6.73/6.91 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 paramod(
% 6.73/6.91 clause( 18353, [ ~( 'there_exists'( X ) ), =( codomain( X ), domain(
% 6.73/6.91 codomain( X ) ) ) ] )
% 6.73/6.91 , clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 6.73/6.91 , 0, clause( 18350, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 6.73/6.91 compose( X, Y ) ) ) ] )
% 6.73/6.91 , 1, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 6.73/6.91 codomain( X ) ), :=( Y, X )] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 eqswap(
% 6.73/6.91 clause( 18354, [ =( domain( codomain( X ) ), codomain( X ) ), ~(
% 6.73/6.91 'there_exists'( X ) ) ] )
% 6.73/6.91 , clause( 18353, [ ~( 'there_exists'( X ) ), =( codomain( X ), domain(
% 6.73/6.91 codomain( X ) ) ) ] )
% 6.73/6.91 , 1, substitution( 0, [ :=( X, X )] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 subsumption(
% 6.73/6.91 clause( 115, [ ~( 'there_exists'( X ) ), =( domain( codomain( X ) ),
% 6.73/6.91 codomain( X ) ) ] )
% 6.73/6.91 , clause( 18354, [ =( domain( codomain( X ) ), codomain( X ) ), ~(
% 6.73/6.91 'there_exists'( X ) ) ] )
% 6.73/6.91 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 6.73/6.91 0 )] ) ).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 eqswap(
% 6.73/6.91 clause( 18355, [ ~( =( X, a ) ), 'there_exists'( X ) ] )
% 6.73/6.91 , clause( 98, [ 'there_exists'( X ), ~( =( a, X ) ) ] )
% 6.73/6.91 , 1, substitution( 0, [ :=( X, X )] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 eqswap(
% 6.73/6.91 clause( 18356, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 6.73/6.91 compose( X, Y ) ) ) ] )
% 6.73/6.91 , clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 6.73/6.91 codomain( Y ) ) ] )
% 6.73/6.91 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 resolution(
% 6.73/6.91 clause( 18357, [ =( codomain( X ), domain( Y ) ), ~( =( compose( Y, X ), a
% 6.73/6.91 ) ) ] )
% 6.73/6.91 , clause( 18356, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 6.73/6.91 compose( X, Y ) ) ) ] )
% 6.73/6.91 , 1, clause( 18355, [ ~( =( X, a ) ), 'there_exists'( X ) ] )
% 6.73/6.91 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ :=( X
% 6.73/6.91 , compose( Y, X ) )] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 eqswap(
% 6.73/6.91 clause( 18358, [ =( domain( Y ), codomain( X ) ), ~( =( compose( Y, X ), a
% 6.73/6.91 ) ) ] )
% 6.73/6.91 , clause( 18357, [ =( codomain( X ), domain( Y ) ), ~( =( compose( Y, X ),
% 6.73/6.91 a ) ) ] )
% 6.73/6.91 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 subsumption(
% 6.73/6.91 clause( 127, [ ~( =( compose( X, Y ), a ) ), =( domain( X ), codomain( Y )
% 6.73/6.91 ) ] )
% 6.73/6.91 , clause( 18358, [ =( domain( Y ), codomain( X ) ), ~( =( compose( Y, X ),
% 6.73/6.91 a ) ) ] )
% 6.73/6.91 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 6.73/6.91 ), ==>( 1, 0 )] ) ).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 eqswap(
% 6.73/6.91 clause( 18362, [ =( compose( compose( X, Y ), Z ), compose( X, compose( Y,
% 6.73/6.91 Z ) ) ) ] )
% 6.73/6.91 , clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ),
% 6.73/6.91 Z ) ) ] )
% 6.73/6.91 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 paramod(
% 6.73/6.91 clause( 18367, [ =( compose( compose( X, codomain( Y ) ), Y ), compose( X,
% 6.73/6.91 Y ) ) ] )
% 6.73/6.91 , clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 6.73/6.91 , 0, clause( 18362, [ =( compose( compose( X, Y ), Z ), compose( X, compose(
% 6.73/6.91 Y, Z ) ) ) ] )
% 6.73/6.91 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 6.73/6.91 :=( Y, codomain( Y ) ), :=( Z, Y )] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 subsumption(
% 6.73/6.91 clause( 200, [ =( compose( compose( Y, codomain( X ) ), X ), compose( Y, X
% 6.73/6.91 ) ) ] )
% 6.73/6.91 , clause( 18367, [ =( compose( compose( X, codomain( Y ) ), Y ), compose( X
% 6.73/6.91 , Y ) ) ] )
% 6.73/6.91 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 6.73/6.91 )] ) ).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 eqswap(
% 6.73/6.91 clause( 18371, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 6.73/6.91 compose( X, Y ) ) ) ] )
% 6.73/6.91 , clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 6.73/6.91 codomain( Y ) ) ] )
% 6.73/6.91 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 eqswap(
% 6.73/6.91 clause( 18372, [ ~( =( codomain( a ), codomain( compose( a, b ) ) ) ) ] )
% 6.73/6.91 , clause( 12, [ ~( =( codomain( compose( a, b ) ), codomain( a ) ) ) ] )
% 6.73/6.91 , 0, substitution( 0, [] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 paramod(
% 6.73/6.91 clause( 18375, [ ~( =( codomain( a ), domain( X ) ) ), ~( 'there_exists'(
% 6.73/6.91 compose( X, compose( a, b ) ) ) ) ] )
% 6.73/6.91 , clause( 18371, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 6.73/6.91 compose( X, Y ) ) ) ] )
% 6.73/6.91 , 0, clause( 18372, [ ~( =( codomain( a ), codomain( compose( a, b ) ) ) )
% 6.73/6.91 ] )
% 6.73/6.91 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, compose( a, b ) )] ),
% 6.73/6.91 substitution( 1, [] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 paramod(
% 6.73/6.91 clause( 18377, [ ~( 'there_exists'( compose( compose( X, a ), b ) ) ), ~(
% 6.73/6.91 =( codomain( a ), domain( X ) ) ) ] )
% 6.73/6.91 , clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ),
% 6.73/6.91 Z ) ) ] )
% 6.73/6.91 , 0, clause( 18375, [ ~( =( codomain( a ), domain( X ) ) ), ~(
% 6.73/6.91 'there_exists'( compose( X, compose( a, b ) ) ) ) ] )
% 6.73/6.91 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, a ), :=( Z, b )] ),
% 6.73/6.91 substitution( 1, [ :=( X, X )] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 eqswap(
% 6.73/6.91 clause( 18378, [ ~( =( domain( X ), codomain( a ) ) ), ~( 'there_exists'(
% 6.73/6.91 compose( compose( X, a ), b ) ) ) ] )
% 6.73/6.91 , clause( 18377, [ ~( 'there_exists'( compose( compose( X, a ), b ) ) ),
% 6.73/6.91 ~( =( codomain( a ), domain( X ) ) ) ] )
% 6.73/6.91 , 1, substitution( 0, [ :=( X, X )] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 subsumption(
% 6.73/6.91 clause( 254, [ ~( =( domain( X ), codomain( a ) ) ), ~( 'there_exists'(
% 6.73/6.91 compose( compose( X, a ), b ) ) ) ] )
% 6.73/6.91 , clause( 18378, [ ~( =( domain( X ), codomain( a ) ) ), ~( 'there_exists'(
% 6.73/6.91 compose( compose( X, a ), b ) ) ) ] )
% 6.73/6.91 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.73/6.91 1 )] ) ).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 paramod(
% 6.73/6.91 clause( 18380, [ ~( 'there_exists'( X ) ), 'there_exists'( codomain( X ) )
% 6.73/6.91 ] )
% 6.73/6.91 , clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 6.73/6.91 , 0, clause( 78, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 6.73/6.91 X ) ] )
% 6.73/6.91 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 6.73/6.91 codomain( X ) ), :=( Y, X )] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 subsumption(
% 6.73/6.91 clause( 378, [ ~( 'there_exists'( X ) ), 'there_exists'( codomain( X ) ) ]
% 6.73/6.91 )
% 6.73/6.91 , clause( 18380, [ ~( 'there_exists'( X ) ), 'there_exists'( codomain( X )
% 6.73/6.91 ) ] )
% 6.73/6.91 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.73/6.91 1 )] ) ).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 resolution(
% 6.73/6.91 clause( 18381, [ 'there_exists'( codomain( a ) ) ] )
% 6.73/6.91 , clause( 378, [ ~( 'there_exists'( X ) ), 'there_exists'( codomain( X ) )
% 6.73/6.91 ] )
% 6.73/6.91 , 0, clause( 88, [ 'there_exists'( a ) ] )
% 6.73/6.91 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 subsumption(
% 6.73/6.91 clause( 415, [ 'there_exists'( codomain( a ) ) ] )
% 6.73/6.91 , clause( 18381, [ 'there_exists'( codomain( a ) ) ] )
% 6.73/6.91 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 eqswap(
% 6.73/6.91 clause( 18382, [ =( codomain( X ), domain( codomain( X ) ) ), ~(
% 6.73/6.91 'there_exists'( X ) ) ] )
% 6.73/6.91 , clause( 115, [ ~( 'there_exists'( X ) ), =( domain( codomain( X ) ),
% 6.73/6.91 codomain( X ) ) ] )
% 6.73/6.91 , 1, substitution( 0, [ :=( X, X )] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 resolution(
% 6.73/6.91 clause( 18383, [ =( codomain( codomain( a ) ), domain( codomain( codomain(
% 6.73/6.91 a ) ) ) ) ] )
% 6.73/6.91 , clause( 18382, [ =( codomain( X ), domain( codomain( X ) ) ), ~(
% 6.73/6.91 'there_exists'( X ) ) ] )
% 6.73/6.91 , 1, clause( 415, [ 'there_exists'( codomain( a ) ) ] )
% 6.73/6.91 , 0, substitution( 0, [ :=( X, codomain( a ) )] ), substitution( 1, [] )
% 6.73/6.91 ).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 eqswap(
% 6.73/6.91 clause( 18384, [ =( domain( codomain( codomain( a ) ) ), codomain( codomain(
% 6.73/6.91 a ) ) ) ] )
% 6.73/6.91 , clause( 18383, [ =( codomain( codomain( a ) ), domain( codomain( codomain(
% 6.73/6.91 a ) ) ) ) ] )
% 6.73/6.91 , 0, substitution( 0, [] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 subsumption(
% 6.73/6.91 clause( 9923, [ =( domain( codomain( codomain( a ) ) ), codomain( codomain(
% 6.73/6.91 a ) ) ) ] )
% 6.73/6.91 , clause( 18384, [ =( domain( codomain( codomain( a ) ) ), codomain(
% 6.73/6.91 codomain( a ) ) ) ] )
% 6.73/6.91 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 eqswap(
% 6.73/6.91 clause( 18386, [ =( compose( X, Y ), compose( compose( X, codomain( Y ) ),
% 6.73/6.91 Y ) ) ] )
% 6.73/6.91 , clause( 200, [ =( compose( compose( Y, codomain( X ) ), X ), compose( Y,
% 6.73/6.91 X ) ) ] )
% 6.73/6.91 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 paramod(
% 6.73/6.91 clause( 18389, [ =( compose( codomain( codomain( X ) ), X ), compose(
% 6.73/6.91 codomain( X ), X ) ) ] )
% 6.73/6.91 , clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 6.73/6.91 , 0, clause( 18386, [ =( compose( X, Y ), compose( compose( X, codomain( Y
% 6.73/6.91 ) ), Y ) ) ] )
% 6.73/6.91 , 0, 7, substitution( 0, [ :=( X, codomain( X ) )] ), substitution( 1, [
% 6.73/6.91 :=( X, codomain( codomain( X ) ) ), :=( Y, X )] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 paramod(
% 6.73/6.91 clause( 18391, [ =( compose( codomain( codomain( X ) ), X ), X ) ] )
% 6.73/6.91 , clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 6.73/6.91 , 0, clause( 18389, [ =( compose( codomain( codomain( X ) ), X ), compose(
% 6.73/6.91 codomain( X ), X ) ) ] )
% 6.73/6.91 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 6.73/6.91 ).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 subsumption(
% 6.73/6.91 clause( 14504, [ =( compose( codomain( codomain( X ) ), X ), X ) ] )
% 6.73/6.91 , clause( 18391, [ =( compose( codomain( codomain( X ) ), X ), X ) ] )
% 6.73/6.91 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 eqswap(
% 6.73/6.91 clause( 18393, [ =( X, compose( codomain( codomain( X ) ), X ) ) ] )
% 6.73/6.91 , clause( 14504, [ =( compose( codomain( codomain( X ) ), X ), X ) ] )
% 6.73/6.91 , 0, substitution( 0, [ :=( X, X )] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 eqswap(
% 6.73/6.91 clause( 18394, [ ~( =( a, compose( X, Y ) ) ), =( domain( X ), codomain( Y
% 6.73/6.91 ) ) ] )
% 6.73/6.91 , clause( 127, [ ~( =( compose( X, Y ), a ) ), =( domain( X ), codomain( Y
% 6.73/6.91 ) ) ] )
% 6.73/6.91 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 resolution(
% 6.73/6.91 clause( 18398, [ =( domain( codomain( codomain( a ) ) ), codomain( a ) ) ]
% 6.73/6.91 )
% 6.73/6.91 , clause( 18394, [ ~( =( a, compose( X, Y ) ) ), =( domain( X ), codomain(
% 6.73/6.91 Y ) ) ] )
% 6.73/6.91 , 0, clause( 18393, [ =( X, compose( codomain( codomain( X ) ), X ) ) ] )
% 6.73/6.91 , 0, substitution( 0, [ :=( X, codomain( codomain( a ) ) ), :=( Y, a )] ),
% 6.73/6.91 substitution( 1, [ :=( X, a )] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 paramod(
% 6.73/6.91 clause( 18399, [ =( codomain( codomain( a ) ), codomain( a ) ) ] )
% 6.73/6.91 , clause( 9923, [ =( domain( codomain( codomain( a ) ) ), codomain(
% 6.73/6.91 codomain( a ) ) ) ] )
% 6.73/6.91 , 0, clause( 18398, [ =( domain( codomain( codomain( a ) ) ), codomain( a )
% 6.73/6.91 ) ] )
% 6.73/6.91 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 subsumption(
% 6.73/6.91 clause( 14507, [ =( codomain( codomain( a ) ), codomain( a ) ) ] )
% 6.73/6.91 , clause( 18399, [ =( codomain( codomain( a ) ), codomain( a ) ) ] )
% 6.73/6.91 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 eqswap(
% 6.73/6.91 clause( 18402, [ ~( =( codomain( a ), domain( X ) ) ), ~( 'there_exists'(
% 6.73/6.91 compose( compose( X, a ), b ) ) ) ] )
% 6.73/6.91 , clause( 254, [ ~( =( domain( X ), codomain( a ) ) ), ~( 'there_exists'(
% 6.73/6.91 compose( compose( X, a ), b ) ) ) ] )
% 6.73/6.91 , 0, substitution( 0, [ :=( X, X )] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 paramod(
% 6.73/6.91 clause( 18405, [ ~( 'there_exists'( compose( a, b ) ) ), ~( =( codomain( a
% 6.73/6.91 ), domain( codomain( codomain( a ) ) ) ) ) ] )
% 6.73/6.91 , clause( 14504, [ =( compose( codomain( codomain( X ) ), X ), X ) ] )
% 6.73/6.91 , 0, clause( 18402, [ ~( =( codomain( a ), domain( X ) ) ), ~(
% 6.73/6.91 'there_exists'( compose( compose( X, a ), b ) ) ) ] )
% 6.73/6.91 , 1, 3, substitution( 0, [ :=( X, a )] ), substitution( 1, [ :=( X,
% 6.73/6.91 codomain( codomain( a ) ) )] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 paramod(
% 6.73/6.91 clause( 18406, [ ~( =( codomain( a ), codomain( codomain( a ) ) ) ), ~(
% 6.73/6.91 'there_exists'( compose( a, b ) ) ) ] )
% 6.73/6.91 , clause( 9923, [ =( domain( codomain( codomain( a ) ) ), codomain(
% 6.73/6.91 codomain( a ) ) ) ] )
% 6.73/6.91 , 0, clause( 18405, [ ~( 'there_exists'( compose( a, b ) ) ), ~( =(
% 6.73/6.91 codomain( a ), domain( codomain( codomain( a ) ) ) ) ) ] )
% 6.73/6.91 , 1, 4, substitution( 0, [] ), substitution( 1, [] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 paramod(
% 6.73/6.91 clause( 18407, [ ~( =( codomain( a ), codomain( a ) ) ), ~( 'there_exists'(
% 6.73/6.91 compose( a, b ) ) ) ] )
% 6.73/6.91 , clause( 14507, [ =( codomain( codomain( a ) ), codomain( a ) ) ] )
% 6.73/6.91 , 0, clause( 18406, [ ~( =( codomain( a ), codomain( codomain( a ) ) ) ),
% 6.73/6.91 ~( 'there_exists'( compose( a, b ) ) ) ] )
% 6.73/6.91 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 eqrefl(
% 6.73/6.91 clause( 18408, [ ~( 'there_exists'( compose( a, b ) ) ) ] )
% 6.73/6.91 , clause( 18407, [ ~( =( codomain( a ), codomain( a ) ) ), ~(
% 6.73/6.91 'there_exists'( compose( a, b ) ) ) ] )
% 6.73/6.91 , 0, substitution( 0, [] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 resolution(
% 6.73/6.91 clause( 18409, [] )
% 6.73/6.91 , clause( 18408, [ ~( 'there_exists'( compose( a, b ) ) ) ] )
% 6.73/6.91 , 0, clause( 11, [ 'there_exists'( compose( a, b ) ) ] )
% 6.73/6.91 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 subsumption(
% 6.73/6.91 clause( 17380, [] )
% 6.73/6.91 , clause( 18409, [] )
% 6.73/6.91 , substitution( 0, [] ), permutation( 0, [] ) ).
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 end.
% 6.73/6.91
% 6.73/6.91 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 6.73/6.91
% 6.73/6.91 Memory use:
% 6.73/6.91
% 6.73/6.91 space for terms: 224153
% 6.73/6.91 space for clauses: 755436
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 clauses generated: 86223
% 6.73/6.91 clauses kept: 17381
% 6.73/6.91 clauses selected: 637
% 6.73/6.91 clauses deleted: 390
% 6.73/6.91 clauses inuse deleted: 206
% 6.73/6.91
% 6.73/6.91 subsentry: 1189935
% 6.73/6.91 literals s-matched: 936510
% 6.73/6.91 literals matched: 916084
% 6.73/6.91 full subsumption: 630735
% 6.73/6.91
% 6.73/6.91 checksum: 1781454677
% 6.73/6.91
% 6.73/6.91
% 6.73/6.91 Bliksem ended
%------------------------------------------------------------------------------