TSTP Solution File: CAT009-3 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : CAT009-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 7.21s 7.63s
% Output : Refutation 7.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT009-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n019.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 20:21:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 7.21/7.63 *** allocated 10000 integers for termspace/termends
% 7.21/7.63 *** allocated 10000 integers for clauses
% 7.21/7.63 *** allocated 10000 integers for justifications
% 7.21/7.63 Bliksem 1.12
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 Automatic Strategy Selection
% 7.21/7.63
% 7.21/7.63 Clauses:
% 7.21/7.63 [
% 7.21/7.63 [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ],
% 7.21/7.63 [ ~( equivalent( X, Y ) ), =( X, Y ) ],
% 7.21/7.63 [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ],
% 7.21/7.63 [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ],
% 7.21/7.63 [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ],
% 7.21/7.63 [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain( X ) )
% 7.21/7.63 ],
% 7.21/7.63 [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ), codomain( Y )
% 7.21/7.63 ) ],
% 7.21/7.63 [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ), codomain( Y ) )
% 7.21/7.63 ), 'there_exists'( compose( X, Y ) ) ],
% 7.21/7.63 [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z ) ) ]
% 7.21/7.63 ,
% 7.21/7.63 [ =( compose( X, domain( X ) ), X ) ],
% 7.21/7.63 [ =( compose( codomain( X ), X ), X ) ],
% 7.21/7.63 [ ~( equivalent( X, Y ) ), 'there_exists'( Y ) ],
% 7.21/7.63 [ ~( 'there_exists'( X ) ), ~( 'there_exists'( Y ) ), ~( =( X, Y ) ),
% 7.21/7.63 equivalent( X, Y ) ],
% 7.21/7.63 [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( codomain( X )
% 7.21/7.63 ) ],
% 7.21/7.63 [ 'there_exists'( f1( X, Y ) ), =( X, Y ) ],
% 7.21/7.63 [ =( X, f1( X, Y ) ), =( Y, f1( X, Y ) ), =( X, Y ) ],
% 7.21/7.63 [ ~( =( X, f1( X, Y ) ) ), ~( =( Y, f1( X, Y ) ) ), =( X, Y ) ],
% 7.21/7.63 [ 'there_exists'( compose( a, b ) ) ],
% 7.21/7.63 [ ~( =( domain( compose( a, b ) ), domain( b ) ) ) ]
% 7.21/7.63 ] .
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 percentage equality = 0.428571, percentage horn = 0.888889
% 7.21/7.63 This is a problem with some equality
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 Options Used:
% 7.21/7.63
% 7.21/7.63 useres = 1
% 7.21/7.63 useparamod = 1
% 7.21/7.63 useeqrefl = 1
% 7.21/7.63 useeqfact = 1
% 7.21/7.63 usefactor = 1
% 7.21/7.63 usesimpsplitting = 0
% 7.21/7.63 usesimpdemod = 5
% 7.21/7.63 usesimpres = 3
% 7.21/7.63
% 7.21/7.63 resimpinuse = 1000
% 7.21/7.63 resimpclauses = 20000
% 7.21/7.63 substype = eqrewr
% 7.21/7.63 backwardsubs = 1
% 7.21/7.63 selectoldest = 5
% 7.21/7.63
% 7.21/7.63 litorderings [0] = split
% 7.21/7.63 litorderings [1] = extend the termordering, first sorting on arguments
% 7.21/7.63
% 7.21/7.63 termordering = kbo
% 7.21/7.63
% 7.21/7.63 litapriori = 0
% 7.21/7.63 termapriori = 1
% 7.21/7.63 litaposteriori = 0
% 7.21/7.63 termaposteriori = 0
% 7.21/7.63 demodaposteriori = 0
% 7.21/7.63 ordereqreflfact = 0
% 7.21/7.63
% 7.21/7.63 litselect = negord
% 7.21/7.63
% 7.21/7.63 maxweight = 15
% 7.21/7.63 maxdepth = 30000
% 7.21/7.63 maxlength = 115
% 7.21/7.63 maxnrvars = 195
% 7.21/7.63 excuselevel = 1
% 7.21/7.63 increasemaxweight = 1
% 7.21/7.63
% 7.21/7.63 maxselected = 10000000
% 7.21/7.63 maxnrclauses = 10000000
% 7.21/7.63
% 7.21/7.63 showgenerated = 0
% 7.21/7.63 showkept = 0
% 7.21/7.63 showselected = 0
% 7.21/7.63 showdeleted = 0
% 7.21/7.63 showresimp = 1
% 7.21/7.63 showstatus = 2000
% 7.21/7.63
% 7.21/7.63 prologoutput = 1
% 7.21/7.63 nrgoals = 5000000
% 7.21/7.63 totalproof = 1
% 7.21/7.63
% 7.21/7.63 Symbols occurring in the translation:
% 7.21/7.63
% 7.21/7.63 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 7.21/7.63 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 7.21/7.63 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 7.21/7.63 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 7.21/7.63 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 7.21/7.63 equivalent [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 7.21/7.63 'there_exists' [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 7.21/7.63 domain [43, 1] (w:1, o:21, a:1, s:1, b:0),
% 7.21/7.63 codomain [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 7.21/7.63 compose [45, 2] (w:1, o:48, a:1, s:1, b:0),
% 7.21/7.63 f1 [47, 2] (w:1, o:49, a:1, s:1, b:0),
% 7.21/7.63 a [48, 0] (w:1, o:12, a:1, s:1, b:0),
% 7.21/7.63 b [49, 0] (w:1, o:13, a:1, s:1, b:0).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 Starting Search:
% 7.21/7.63
% 7.21/7.63 Resimplifying inuse:
% 7.21/7.63 Done
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 Intermediate Status:
% 7.21/7.63 Generated: 5608
% 7.21/7.63 Kept: 2036
% 7.21/7.63 Inuse: 106
% 7.21/7.63 Deleted: 9
% 7.21/7.63 Deletedinuse: 2
% 7.21/7.63
% 7.21/7.63 Resimplifying inuse:
% 7.21/7.63 Done
% 7.21/7.63
% 7.21/7.63 Resimplifying inuse:
% 7.21/7.63 Done
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 Intermediate Status:
% 7.21/7.63 Generated: 11545
% 7.21/7.63 Kept: 4068
% 7.21/7.63 Inuse: 182
% 7.21/7.63 Deleted: 16
% 7.21/7.63 Deletedinuse: 5
% 7.21/7.63
% 7.21/7.63 Resimplifying inuse:
% 7.21/7.63 Done
% 7.21/7.63
% 7.21/7.63 Resimplifying inuse:
% 7.21/7.63 Done
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 Intermediate Status:
% 7.21/7.63 Generated: 18402
% 7.21/7.63 Kept: 6098
% 7.21/7.63 Inuse: 247
% 7.21/7.63 Deleted: 25
% 7.21/7.63 Deletedinuse: 5
% 7.21/7.63
% 7.21/7.63 Resimplifying inuse:
% 7.21/7.63 Done
% 7.21/7.63
% 7.21/7.63 Resimplifying inuse:
% 7.21/7.63 Done
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 Intermediate Status:
% 7.21/7.63 Generated: 23097
% 7.21/7.63 Kept: 8140
% 7.21/7.63 Inuse: 283
% 7.21/7.63 Deleted: 31
% 7.21/7.63 Deletedinuse: 5
% 7.21/7.63
% 7.21/7.63 Resimplifying inuse:
% 7.21/7.63 Done
% 7.21/7.63
% 7.21/7.63 Resimplifying inuse:
% 7.21/7.63 Done
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 Intermediate Status:
% 7.21/7.63 Generated: 29755
% 7.21/7.63 Kept: 10236
% 7.21/7.63 Inuse: 309
% 7.21/7.63 Deleted: 50
% 7.21/7.63 Deletedinuse: 5
% 7.21/7.63
% 7.21/7.63 Resimplifying inuse:
% 7.21/7.63 Done
% 7.21/7.63
% 7.21/7.63 Resimplifying inuse:
% 7.21/7.63 Done
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 Intermediate Status:
% 7.21/7.63 Generated: 35614
% 7.21/7.63 Kept: 12236
% 7.21/7.63 Inuse: 326
% 7.21/7.63 Deleted: 53
% 7.21/7.63 Deletedinuse: 7
% 7.21/7.63
% 7.21/7.63 Resimplifying inuse:
% 7.21/7.63 Done
% 7.21/7.63
% 7.21/7.63 Resimplifying inuse:
% 7.21/7.63 Done
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 Intermediate Status:
% 7.21/7.63 Generated: 44379
% 7.21/7.63 Kept: 14241
% 7.21/7.63 Inuse: 356
% 7.21/7.63 Deleted: 56
% 7.21/7.63 Deletedinuse: 7
% 7.21/7.63
% 7.21/7.63 Resimplifying inuse:
% 7.21/7.63 Done
% 7.21/7.63
% 7.21/7.63 Resimplifying inuse:
% 7.21/7.63 Done
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 Intermediate Status:
% 7.21/7.63 Generated: 55308
% 7.21/7.63 Kept: 16252
% 7.21/7.63 Inuse: 400
% 7.21/7.63 Deleted: 62
% 7.21/7.63 Deletedinuse: 7
% 7.21/7.63
% 7.21/7.63 Resimplifying inuse:
% 7.21/7.63 Done
% 7.21/7.63
% 7.21/7.63 Resimplifying inuse:
% 7.21/7.63 Done
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 Intermediate Status:
% 7.21/7.63 Generated: 70583
% 7.21/7.63 Kept: 18289
% 7.21/7.63 Inuse: 469
% 7.21/7.63 Deleted: 95
% 7.21/7.63 Deletedinuse: 26
% 7.21/7.63
% 7.21/7.63 Resimplifying inuse:
% 7.21/7.63 Done
% 7.21/7.63
% 7.21/7.63 Resimplifying inuse:
% 7.21/7.63 Done
% 7.21/7.63
% 7.21/7.63 Resimplifying clauses:
% 7.21/7.63 Done
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 Intermediate Status:
% 7.21/7.63 Generated: 85088
% 7.21/7.63 Kept: 20294
% 7.21/7.63 Inuse: 516
% 7.21/7.63 Deleted: 4033
% 7.21/7.63 Deletedinuse: 71
% 7.21/7.63
% 7.21/7.63 Resimplifying inuse:
% 7.21/7.63 Done
% 7.21/7.63
% 7.21/7.63 Resimplifying inuse:
% 7.21/7.63 Done
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 Intermediate Status:
% 7.21/7.63 Generated: 98579
% 7.21/7.63 Kept: 22373
% 7.21/7.63 Inuse: 578
% 7.21/7.63 Deleted: 4055
% 7.21/7.63 Deletedinuse: 93
% 7.21/7.63
% 7.21/7.63 Resimplifying inuse:
% 7.21/7.63 Done
% 7.21/7.63
% 7.21/7.63 Resimplifying inuse:
% 7.21/7.63 Done
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 Bliksems!, er is een bewijs:
% 7.21/7.63 % SZS status Unsatisfiable
% 7.21/7.63 % SZS output start Refutation
% 7.21/7.63
% 7.21/7.63 clause( 1, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 7.21/7.63 .
% 7.21/7.63 clause( 2, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ]
% 7.21/7.63 )
% 7.21/7.63 .
% 7.21/7.63 clause( 4, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ] )
% 7.21/7.63 .
% 7.21/7.63 clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain(
% 7.21/7.63 X ) ) ] )
% 7.21/7.63 .
% 7.21/7.63 clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 7.21/7.63 codomain( Y ) ) ] )
% 7.21/7.63 .
% 7.21/7.63 clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z
% 7.21/7.63 ) ) ] )
% 7.21/7.63 .
% 7.21/7.63 clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 7.21/7.63 .
% 7.21/7.63 clause( 11, [ ~( equivalent( X, Y ) ), 'there_exists'( Y ) ] )
% 7.21/7.63 .
% 7.21/7.63 clause( 16, [ 'there_exists'( compose( a, b ) ) ] )
% 7.21/7.63 .
% 7.21/7.63 clause( 17, [ ~( =( domain( compose( a, b ) ), domain( b ) ) ) ] )
% 7.21/7.63 .
% 7.21/7.63 clause( 80, [ 'there_exists'( domain( a ) ) ] )
% 7.21/7.63 .
% 7.21/7.63 clause( 99, [ =( domain( a ), codomain( b ) ) ] )
% 7.21/7.63 .
% 7.21/7.63 clause( 115, [ 'there_exists'( codomain( b ) ) ] )
% 7.21/7.63 .
% 7.21/7.63 clause( 119, [ 'there_exists'( b ) ] )
% 7.21/7.63 .
% 7.21/7.63 clause( 122, [ ~( =( b, X ) ), equivalent( b, X ) ] )
% 7.21/7.63 .
% 7.21/7.63 clause( 151, [ ~( =( b, X ) ), 'there_exists'( X ) ] )
% 7.21/7.63 .
% 7.21/7.63 clause( 153, [ ~( =( compose( X, Y ), b ) ), =( domain( X ), codomain( Y )
% 7.21/7.63 ) ] )
% 7.21/7.63 .
% 7.21/7.63 clause( 196, [ =( compose( compose( Y, X ), domain( X ) ), compose( Y, X )
% 7.21/7.63 ) ] )
% 7.21/7.63 .
% 7.21/7.63 clause( 200, [ ~( 'there_exists'( X ) ), 'there_exists'( domain( X ) ) ] )
% 7.21/7.63 .
% 7.21/7.63 clause( 213, [ ~( 'there_exists'( X ) ), ~( =( domain( X ), Y ) ),
% 7.21/7.63 equivalent( domain( X ), Y ) ] )
% 7.21/7.63 .
% 7.21/7.63 clause( 1095, [ ~( =( X, domain( b ) ) ), ~( equivalent( domain( compose( a
% 7.21/7.63 , b ) ), X ) ) ] )
% 7.21/7.63 .
% 7.21/7.63 clause( 1106, [ ~( equivalent( domain( compose( a, b ) ), domain( b ) ) ) ]
% 7.21/7.63 )
% 7.21/7.63 .
% 7.21/7.63 clause( 18919, [ =( codomain( domain( b ) ), domain( b ) ) ] )
% 7.21/7.63 .
% 7.21/7.63 clause( 22553, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( compose(
% 7.21/7.63 X, Y ) ), codomain( domain( Y ) ) ) ] )
% 7.21/7.63 .
% 7.21/7.63 clause( 24322, [] )
% 7.21/7.63 .
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 % SZS output end Refutation
% 7.21/7.63 found a proof!
% 7.21/7.63
% 7.21/7.63 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 7.21/7.63
% 7.21/7.63 initialclauses(
% 7.21/7.63 [ clause( 24324, [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ] )
% 7.21/7.63 , clause( 24325, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 7.21/7.63 , clause( 24326, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X
% 7.21/7.63 , Y ) ] )
% 7.21/7.63 , clause( 24327, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X )
% 7.21/7.63 ] )
% 7.21/7.63 , clause( 24328, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X
% 7.21/7.63 ) ] )
% 7.21/7.63 , clause( 24329, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 7.21/7.63 domain( X ) ) ] )
% 7.21/7.63 , clause( 24330, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 7.21/7.63 codomain( Y ) ) ] )
% 7.21/7.63 , clause( 24331, [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ),
% 7.21/7.63 codomain( Y ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 7.21/7.63 , clause( 24332, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y
% 7.21/7.63 ), Z ) ) ] )
% 7.21/7.63 , clause( 24333, [ =( compose( X, domain( X ) ), X ) ] )
% 7.21/7.63 , clause( 24334, [ =( compose( codomain( X ), X ), X ) ] )
% 7.21/7.63 , clause( 24335, [ ~( equivalent( X, Y ) ), 'there_exists'( Y ) ] )
% 7.21/7.63 , clause( 24336, [ ~( 'there_exists'( X ) ), ~( 'there_exists'( Y ) ), ~(
% 7.21/7.63 =( X, Y ) ), equivalent( X, Y ) ] )
% 7.21/7.63 , clause( 24337, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 7.21/7.63 codomain( X ) ) ] )
% 7.21/7.63 , clause( 24338, [ 'there_exists'( f1( X, Y ) ), =( X, Y ) ] )
% 7.21/7.63 , clause( 24339, [ =( X, f1( X, Y ) ), =( Y, f1( X, Y ) ), =( X, Y ) ] )
% 7.21/7.63 , clause( 24340, [ ~( =( X, f1( X, Y ) ) ), ~( =( Y, f1( X, Y ) ) ), =( X,
% 7.21/7.63 Y ) ] )
% 7.21/7.63 , clause( 24341, [ 'there_exists'( compose( a, b ) ) ] )
% 7.21/7.63 , clause( 24342, [ ~( =( domain( compose( a, b ) ), domain( b ) ) ) ] )
% 7.21/7.63 ] ).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 subsumption(
% 7.21/7.63 clause( 1, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 7.21/7.63 , clause( 24325, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 7.21/7.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 7.21/7.63 ), ==>( 1, 1 )] ) ).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 subsumption(
% 7.21/7.63 clause( 2, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ]
% 7.21/7.63 )
% 7.21/7.63 , clause( 24326, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X
% 7.21/7.63 , Y ) ] )
% 7.21/7.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 7.21/7.63 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 subsumption(
% 7.21/7.63 clause( 4, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ] )
% 7.21/7.63 , clause( 24328, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X
% 7.21/7.63 ) ] )
% 7.21/7.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 7.21/7.63 1 )] ) ).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 subsumption(
% 7.21/7.63 clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain(
% 7.21/7.63 X ) ) ] )
% 7.21/7.63 , clause( 24329, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 7.21/7.63 domain( X ) ) ] )
% 7.21/7.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 7.21/7.63 ), ==>( 1, 1 )] ) ).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 subsumption(
% 7.21/7.63 clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 7.21/7.63 codomain( Y ) ) ] )
% 7.21/7.63 , clause( 24330, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 7.21/7.63 codomain( Y ) ) ] )
% 7.21/7.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 7.21/7.63 ), ==>( 1, 1 )] ) ).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 subsumption(
% 7.21/7.63 clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z
% 7.21/7.63 ) ) ] )
% 7.21/7.63 , clause( 24332, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y
% 7.21/7.63 ), Z ) ) ] )
% 7.21/7.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 7.21/7.63 permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 subsumption(
% 7.21/7.63 clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 7.21/7.63 , clause( 24333, [ =( compose( X, domain( X ) ), X ) ] )
% 7.21/7.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 subsumption(
% 7.21/7.63 clause( 11, [ ~( equivalent( X, Y ) ), 'there_exists'( Y ) ] )
% 7.21/7.63 , clause( 24335, [ ~( equivalent( X, Y ) ), 'there_exists'( Y ) ] )
% 7.21/7.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 7.21/7.63 ), ==>( 1, 1 )] ) ).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 subsumption(
% 7.21/7.63 clause( 16, [ 'there_exists'( compose( a, b ) ) ] )
% 7.21/7.63 , clause( 24341, [ 'there_exists'( compose( a, b ) ) ] )
% 7.21/7.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 subsumption(
% 7.21/7.63 clause( 17, [ ~( =( domain( compose( a, b ) ), domain( b ) ) ) ] )
% 7.21/7.63 , clause( 24342, [ ~( =( domain( compose( a, b ) ), domain( b ) ) ) ] )
% 7.21/7.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 resolution(
% 7.21/7.63 clause( 24428, [ 'there_exists'( domain( a ) ) ] )
% 7.21/7.63 , clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 7.21/7.63 domain( X ) ) ] )
% 7.21/7.63 , 0, clause( 16, [ 'there_exists'( compose( a, b ) ) ] )
% 7.21/7.63 , 0, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 7.21/7.63 ).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 subsumption(
% 7.21/7.63 clause( 80, [ 'there_exists'( domain( a ) ) ] )
% 7.21/7.63 , clause( 24428, [ 'there_exists'( domain( a ) ) ] )
% 7.21/7.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 eqswap(
% 7.21/7.63 clause( 24429, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 7.21/7.63 compose( X, Y ) ) ) ] )
% 7.21/7.63 , clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 7.21/7.63 codomain( Y ) ) ] )
% 7.21/7.63 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 resolution(
% 7.21/7.63 clause( 24430, [ =( codomain( b ), domain( a ) ) ] )
% 7.21/7.63 , clause( 24429, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 7.21/7.63 compose( X, Y ) ) ) ] )
% 7.21/7.63 , 1, clause( 16, [ 'there_exists'( compose( a, b ) ) ] )
% 7.21/7.63 , 0, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 7.21/7.63 ).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 eqswap(
% 7.21/7.63 clause( 24431, [ =( domain( a ), codomain( b ) ) ] )
% 7.21/7.63 , clause( 24430, [ =( codomain( b ), domain( a ) ) ] )
% 7.21/7.63 , 0, substitution( 0, [] )).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 subsumption(
% 7.21/7.63 clause( 99, [ =( domain( a ), codomain( b ) ) ] )
% 7.21/7.63 , clause( 24431, [ =( domain( a ), codomain( b ) ) ] )
% 7.21/7.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 paramod(
% 7.21/7.63 clause( 24433, [ 'there_exists'( codomain( b ) ) ] )
% 7.21/7.63 , clause( 99, [ =( domain( a ), codomain( b ) ) ] )
% 7.21/7.63 , 0, clause( 80, [ 'there_exists'( domain( a ) ) ] )
% 7.21/7.63 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 subsumption(
% 7.21/7.63 clause( 115, [ 'there_exists'( codomain( b ) ) ] )
% 7.21/7.63 , clause( 24433, [ 'there_exists'( codomain( b ) ) ] )
% 7.21/7.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 resolution(
% 7.21/7.63 clause( 24434, [ 'there_exists'( b ) ] )
% 7.21/7.63 , clause( 4, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ]
% 7.21/7.63 )
% 7.21/7.63 , 0, clause( 115, [ 'there_exists'( codomain( b ) ) ] )
% 7.21/7.63 , 0, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 subsumption(
% 7.21/7.63 clause( 119, [ 'there_exists'( b ) ] )
% 7.21/7.63 , clause( 24434, [ 'there_exists'( b ) ] )
% 7.21/7.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 eqswap(
% 7.21/7.63 clause( 24435, [ ~( =( Y, X ) ), ~( 'there_exists'( X ) ), equivalent( X, Y
% 7.21/7.63 ) ] )
% 7.21/7.63 , clause( 2, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y )
% 7.21/7.63 ] )
% 7.21/7.63 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 resolution(
% 7.21/7.63 clause( 24436, [ ~( =( X, b ) ), equivalent( b, X ) ] )
% 7.21/7.63 , clause( 24435, [ ~( =( Y, X ) ), ~( 'there_exists'( X ) ), equivalent( X
% 7.21/7.63 , Y ) ] )
% 7.21/7.63 , 1, clause( 119, [ 'there_exists'( b ) ] )
% 7.21/7.63 , 0, substitution( 0, [ :=( X, b ), :=( Y, X )] ), substitution( 1, [] )
% 7.21/7.63 ).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 eqswap(
% 7.21/7.63 clause( 24437, [ ~( =( b, X ) ), equivalent( b, X ) ] )
% 7.21/7.63 , clause( 24436, [ ~( =( X, b ) ), equivalent( b, X ) ] )
% 7.21/7.63 , 0, substitution( 0, [ :=( X, X )] )).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 subsumption(
% 7.21/7.63 clause( 122, [ ~( =( b, X ) ), equivalent( b, X ) ] )
% 7.21/7.63 , clause( 24437, [ ~( =( b, X ) ), equivalent( b, X ) ] )
% 7.21/7.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 7.21/7.63 1 )] ) ).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 eqswap(
% 7.21/7.63 clause( 24438, [ ~( =( X, b ) ), equivalent( b, X ) ] )
% 7.21/7.63 , clause( 122, [ ~( =( b, X ) ), equivalent( b, X ) ] )
% 7.21/7.63 , 0, substitution( 0, [ :=( X, X )] )).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 resolution(
% 7.21/7.63 clause( 24439, [ 'there_exists'( X ), ~( =( X, b ) ) ] )
% 7.21/7.63 , clause( 11, [ ~( equivalent( X, Y ) ), 'there_exists'( Y ) ] )
% 7.21/7.63 , 0, clause( 24438, [ ~( =( X, b ) ), equivalent( b, X ) ] )
% 7.21/7.63 , 1, substitution( 0, [ :=( X, b ), :=( Y, X )] ), substitution( 1, [ :=( X
% 7.21/7.63 , X )] )).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 eqswap(
% 7.21/7.63 clause( 24440, [ ~( =( b, X ) ), 'there_exists'( X ) ] )
% 7.21/7.63 , clause( 24439, [ 'there_exists'( X ), ~( =( X, b ) ) ] )
% 7.21/7.63 , 1, substitution( 0, [ :=( X, X )] )).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 subsumption(
% 7.21/7.63 clause( 151, [ ~( =( b, X ) ), 'there_exists'( X ) ] )
% 7.21/7.63 , clause( 24440, [ ~( =( b, X ) ), 'there_exists'( X ) ] )
% 7.21/7.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 7.21/7.63 1 )] ) ).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 eqswap(
% 7.21/7.63 clause( 24441, [ ~( =( X, b ) ), 'there_exists'( X ) ] )
% 7.21/7.63 , clause( 151, [ ~( =( b, X ) ), 'there_exists'( X ) ] )
% 7.21/7.63 , 0, substitution( 0, [ :=( X, X )] )).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 eqswap(
% 7.21/7.63 clause( 24442, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 7.21/7.63 compose( X, Y ) ) ) ] )
% 7.21/7.63 , clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 7.21/7.63 codomain( Y ) ) ] )
% 7.21/7.63 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 resolution(
% 7.21/7.63 clause( 24443, [ =( codomain( X ), domain( Y ) ), ~( =( compose( Y, X ), b
% 7.21/7.63 ) ) ] )
% 7.21/7.63 , clause( 24442, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 7.21/7.63 compose( X, Y ) ) ) ] )
% 7.21/7.63 , 1, clause( 24441, [ ~( =( X, b ) ), 'there_exists'( X ) ] )
% 7.21/7.63 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ :=( X
% 7.21/7.63 , compose( Y, X ) )] )).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 eqswap(
% 7.21/7.63 clause( 24444, [ =( domain( Y ), codomain( X ) ), ~( =( compose( Y, X ), b
% 7.21/7.63 ) ) ] )
% 7.21/7.63 , clause( 24443, [ =( codomain( X ), domain( Y ) ), ~( =( compose( Y, X ),
% 7.21/7.63 b ) ) ] )
% 7.21/7.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 subsumption(
% 7.21/7.63 clause( 153, [ ~( =( compose( X, Y ), b ) ), =( domain( X ), codomain( Y )
% 7.21/7.63 ) ] )
% 7.21/7.63 , clause( 24444, [ =( domain( Y ), codomain( X ) ), ~( =( compose( Y, X ),
% 7.21/7.63 b ) ) ] )
% 7.21/7.63 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 7.21/7.63 ), ==>( 1, 0 )] ) ).
% 7.21/7.63
% 7.21/7.63
% 7.21/7.63 eqswap(
% 7.21/7.63 clause( 24448,Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------