TSTP Solution File: CAT018-4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : CAT018-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 4.94s 5.38s
% Output : Refutation 4.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT018-4 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n026.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 17:01:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 4.94/5.38 *** allocated 10000 integers for termspace/termends
% 4.94/5.38 *** allocated 10000 integers for clauses
% 4.94/5.38 *** allocated 10000 integers for justifications
% 4.94/5.38 Bliksem 1.12
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 Automatic Strategy Selection
% 4.94/5.38
% 4.94/5.38 Clauses:
% 4.94/5.38 [
% 4.94/5.38 [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ],
% 4.94/5.38 [ ~( equivalent( X, Y ) ), =( X, Y ) ],
% 4.94/5.38 [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ],
% 4.94/5.38 [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ],
% 4.94/5.38 [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ],
% 4.94/5.38 [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain( X ) )
% 4.94/5.38 ],
% 4.94/5.38 [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ), codomain( Y )
% 4.94/5.38 ) ],
% 4.94/5.38 [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ), codomain( Y ) )
% 4.94/5.38 ), 'there_exists'( compose( X, Y ) ) ],
% 4.94/5.38 [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z ) ) ]
% 4.94/5.38 ,
% 4.94/5.38 [ =( compose( X, domain( X ) ), X ) ],
% 4.94/5.38 [ =( compose( codomain( X ), X ), X ) ],
% 4.94/5.38 [ 'there_exists'( compose( a, b ) ) ],
% 4.94/5.38 [ 'there_exists'( compose( b, c ) ) ],
% 4.94/5.38 [ ~( 'there_exists'( compose( a, compose( b, c ) ) ) ) ]
% 4.94/5.38 ] .
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 percentage equality = 0.291667, percentage horn = 1.000000
% 4.94/5.38 This is a problem with some equality
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 Options Used:
% 4.94/5.38
% 4.94/5.38 useres = 1
% 4.94/5.38 useparamod = 1
% 4.94/5.38 useeqrefl = 1
% 4.94/5.38 useeqfact = 1
% 4.94/5.38 usefactor = 1
% 4.94/5.38 usesimpsplitting = 0
% 4.94/5.38 usesimpdemod = 5
% 4.94/5.38 usesimpres = 3
% 4.94/5.38
% 4.94/5.38 resimpinuse = 1000
% 4.94/5.38 resimpclauses = 20000
% 4.94/5.38 substype = eqrewr
% 4.94/5.38 backwardsubs = 1
% 4.94/5.38 selectoldest = 5
% 4.94/5.38
% 4.94/5.38 litorderings [0] = split
% 4.94/5.38 litorderings [1] = extend the termordering, first sorting on arguments
% 4.94/5.38
% 4.94/5.38 termordering = kbo
% 4.94/5.38
% 4.94/5.38 litapriori = 0
% 4.94/5.38 termapriori = 1
% 4.94/5.38 litaposteriori = 0
% 4.94/5.38 termaposteriori = 0
% 4.94/5.38 demodaposteriori = 0
% 4.94/5.38 ordereqreflfact = 0
% 4.94/5.38
% 4.94/5.38 litselect = negord
% 4.94/5.38
% 4.94/5.38 maxweight = 15
% 4.94/5.38 maxdepth = 30000
% 4.94/5.38 maxlength = 115
% 4.94/5.38 maxnrvars = 195
% 4.94/5.38 excuselevel = 1
% 4.94/5.38 increasemaxweight = 1
% 4.94/5.38
% 4.94/5.38 maxselected = 10000000
% 4.94/5.38 maxnrclauses = 10000000
% 4.94/5.38
% 4.94/5.38 showgenerated = 0
% 4.94/5.38 showkept = 0
% 4.94/5.38 showselected = 0
% 4.94/5.38 showdeleted = 0
% 4.94/5.38 showresimp = 1
% 4.94/5.38 showstatus = 2000
% 4.94/5.38
% 4.94/5.38 prologoutput = 1
% 4.94/5.38 nrgoals = 5000000
% 4.94/5.38 totalproof = 1
% 4.94/5.38
% 4.94/5.38 Symbols occurring in the translation:
% 4.94/5.38
% 4.94/5.38 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.94/5.38 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 4.94/5.38 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 4.94/5.38 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.94/5.38 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.94/5.38 equivalent [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 4.94/5.38 'there_exists' [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 4.94/5.38 domain [43, 1] (w:1, o:22, a:1, s:1, b:0),
% 4.94/5.38 codomain [44, 1] (w:1, o:21, a:1, s:1, b:0),
% 4.94/5.38 compose [45, 2] (w:1, o:49, a:1, s:1, b:0),
% 4.94/5.38 a [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 4.94/5.38 b [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 4.94/5.38 c [49, 0] (w:1, o:14, a:1, s:1, b:0).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 Starting Search:
% 4.94/5.38
% 4.94/5.38 Resimplifying inuse:
% 4.94/5.38 Done
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 Intermediate Status:
% 4.94/5.38 Generated: 5019
% 4.94/5.38 Kept: 2001
% 4.94/5.38 Inuse: 178
% 4.94/5.38 Deleted: 21
% 4.94/5.38 Deletedinuse: 2
% 4.94/5.38
% 4.94/5.38 Resimplifying inuse:
% 4.94/5.38 Done
% 4.94/5.38
% 4.94/5.38 Resimplifying inuse:
% 4.94/5.38 Done
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 Intermediate Status:
% 4.94/5.38 Generated: 11794
% 4.94/5.38 Kept: 4008
% 4.94/5.38 Inuse: 274
% 4.94/5.38 Deleted: 63
% 4.94/5.38 Deletedinuse: 26
% 4.94/5.38
% 4.94/5.38 Resimplifying inuse:
% 4.94/5.38 Done
% 4.94/5.38
% 4.94/5.38 Resimplifying inuse:
% 4.94/5.38 Done
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 Intermediate Status:
% 4.94/5.38 Generated: 17044
% 4.94/5.38 Kept: 6026
% 4.94/5.38 Inuse: 333
% 4.94/5.38 Deleted: 78
% 4.94/5.38 Deletedinuse: 26
% 4.94/5.38
% 4.94/5.38 Resimplifying inuse:
% 4.94/5.38 Done
% 4.94/5.38
% 4.94/5.38 Resimplifying inuse:
% 4.94/5.38 Done
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 Intermediate Status:
% 4.94/5.38 Generated: 24478
% 4.94/5.38 Kept: 8106
% 4.94/5.38 Inuse: 364
% 4.94/5.38 Deleted: 88
% 4.94/5.38 Deletedinuse: 26
% 4.94/5.38
% 4.94/5.38 Resimplifying inuse:
% 4.94/5.38 Done
% 4.94/5.38
% 4.94/5.38 Resimplifying inuse:
% 4.94/5.38 Done
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 Intermediate Status:
% 4.94/5.38 Generated: 30227
% 4.94/5.38 Kept: 10116
% 4.94/5.38 Inuse: 380
% 4.94/5.38 Deleted: 110
% 4.94/5.38 Deletedinuse: 28
% 4.94/5.38
% 4.94/5.38 Resimplifying inuse:
% 4.94/5.38 Done
% 4.94/5.38
% 4.94/5.38 Resimplifying inuse:
% 4.94/5.38 Done
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 Intermediate Status:
% 4.94/5.38 Generated: 39847
% 4.94/5.38 Kept: 12336
% 4.94/5.38 Inuse: 423
% 4.94/5.38 Deleted: 116
% 4.94/5.38 Deletedinuse: 28
% 4.94/5.38
% 4.94/5.38 Resimplifying inuse:
% 4.94/5.38 Done
% 4.94/5.38
% 4.94/5.38 Resimplifying inuse:
% 4.94/5.38 Done
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 Intermediate Status:
% 4.94/5.38 Generated: 48609
% 4.94/5.38 Kept: 14338
% 4.94/5.38 Inuse: 477
% 4.94/5.38 Deleted: 146
% 4.94/5.38 Deletedinuse: 43
% 4.94/5.38
% 4.94/5.38 Resimplifying inuse:
% 4.94/5.38 Done
% 4.94/5.38
% 4.94/5.38 Resimplifying inuse:
% 4.94/5.38 Done
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 Intermediate Status:
% 4.94/5.38 Generated: 63540
% 4.94/5.38 Kept: 16358
% 4.94/5.38 Inuse: 554
% 4.94/5.38 Deleted: 166
% 4.94/5.38 Deletedinuse: 48
% 4.94/5.38
% 4.94/5.38 Resimplifying inuse:
% 4.94/5.38 Done
% 4.94/5.38
% 4.94/5.38 Resimplifying inuse:
% 4.94/5.38 Done
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 Intermediate Status:
% 4.94/5.38 Generated: 75991
% 4.94/5.38 Kept: 18399
% 4.94/5.38 Inuse: 609
% 4.94/5.38 Deleted: 231
% 4.94/5.38 Deletedinuse: 94
% 4.94/5.38
% 4.94/5.38 Resimplifying inuse:
% 4.94/5.38 Done
% 4.94/5.38
% 4.94/5.38 Resimplifying inuse:
% 4.94/5.38 Done
% 4.94/5.38
% 4.94/5.38 Resimplifying clauses:
% 4.94/5.38 Done
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 Intermediate Status:
% 4.94/5.38 Generated: 91128
% 4.94/5.38 Kept: 20476
% 4.94/5.38 Inuse: 675
% 4.94/5.38 Deleted: 7269
% 4.94/5.38 Deletedinuse: 191
% 4.94/5.38
% 4.94/5.38 Resimplifying inuse:
% 4.94/5.38 Done
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 Bliksems!, er is een bewijs:
% 4.94/5.38 % SZS status Unsatisfiable
% 4.94/5.38 % SZS output start Refutation
% 4.94/5.38
% 4.94/5.38 clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 4.94/5.38 .
% 4.94/5.38 clause( 4, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ] )
% 4.94/5.38 .
% 4.94/5.38 clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain(
% 4.94/5.38 X ) ) ] )
% 4.94/5.38 .
% 4.94/5.38 clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 4.94/5.38 codomain( Y ) ) ] )
% 4.94/5.38 .
% 4.94/5.38 clause( 7, [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ),
% 4.94/5.38 codomain( Y ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 4.94/5.38 .
% 4.94/5.38 clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z
% 4.94/5.38 ) ) ] )
% 4.94/5.38 .
% 4.94/5.38 clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 4.94/5.38 .
% 4.94/5.38 clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 4.94/5.38 .
% 4.94/5.38 clause( 11, [ 'there_exists'( compose( a, b ) ) ] )
% 4.94/5.38 .
% 4.94/5.38 clause( 12, [ 'there_exists'( compose( b, c ) ) ] )
% 4.94/5.38 .
% 4.94/5.38 clause( 13, [ ~( 'there_exists'( compose( compose( a, b ), c ) ) ) ] )
% 4.94/5.38 .
% 4.94/5.38 clause( 89, [ 'there_exists'( domain( b ) ) ] )
% 4.94/5.38 .
% 4.94/5.38 clause( 104, [ 'there_exists'( b ) ] )
% 4.94/5.38 .
% 4.94/5.38 clause( 114, [ =( domain( X ), codomain( Y ) ), ~( 'there_exists'( domain(
% 4.94/5.38 compose( X, Y ) ) ) ) ] )
% 4.94/5.38 .
% 4.94/5.38 clause( 118, [ =( domain( b ), codomain( c ) ) ] )
% 4.94/5.38 .
% 4.94/5.38 clause( 226, [ =( compose( b, codomain( c ) ), b ) ] )
% 4.94/5.38 .
% 4.94/5.38 clause( 227, [ =( compose( compose( Y, X ), domain( X ) ), compose( Y, X )
% 4.94/5.38 ) ] )
% 4.94/5.38 .
% 4.94/5.38 clause( 231, [ ~( 'there_exists'( X ) ), 'there_exists'( domain( X ) ) ] )
% 4.94/5.38 .
% 4.94/5.38 clause( 258, [ ~( 'there_exists'( X ) ), =( domain( codomain( X ) ),
% 4.94/5.38 codomain( X ) ) ] )
% 4.94/5.38 .
% 4.94/5.38 clause( 260, [ ~( 'there_exists'( X ) ), 'there_exists'( codomain( X ) ) ]
% 4.94/5.38 )
% 4.94/5.38 .
% 4.94/5.38 clause( 269, [ 'there_exists'( codomain( compose( X, Y ) ) ), ~(
% 4.94/5.38 'there_exists'( domain( X ) ) ), ~( =( domain( X ), codomain( Y ) ) ) ]
% 4.94/5.38 )
% 4.94/5.38 .
% 4.94/5.38 clause( 299, [ ~( 'there_exists'( codomain( compose( compose( a, b ), c ) )
% 4.94/5.38 ) ) ] )
% 4.94/5.38 .
% 4.94/5.38 clause( 361, [ 'there_exists'( domain( compose( a, b ) ) ) ] )
% 4.94/5.38 .
% 4.94/5.38 clause( 1261, [ =( codomain( codomain( c ) ), codomain( c ) ) ] )
% 4.94/5.38 .
% 4.94/5.38 clause( 18894, [ =( domain( compose( X, Y ) ), codomain( domain( Y ) ) ),
% 4.94/5.38 ~( 'there_exists'( domain( compose( X, Y ) ) ) ) ] )
% 4.94/5.38 .
% 4.94/5.38 clause( 20838, [] )
% 4.94/5.38 .
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 % SZS output end Refutation
% 4.94/5.38 found a proof!
% 4.94/5.38
% 4.94/5.38 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.94/5.38
% 4.94/5.38 initialclauses(
% 4.94/5.38 [ clause( 20840, [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ] )
% 4.94/5.38 , clause( 20841, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 4.94/5.38 , clause( 20842, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X
% 4.94/5.38 , Y ) ] )
% 4.94/5.38 , clause( 20843, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X )
% 4.94/5.38 ] )
% 4.94/5.38 , clause( 20844, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X
% 4.94/5.38 ) ] )
% 4.94/5.38 , clause( 20845, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 4.94/5.38 domain( X ) ) ] )
% 4.94/5.38 , clause( 20846, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 4.94/5.38 codomain( Y ) ) ] )
% 4.94/5.38 , clause( 20847, [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ),
% 4.94/5.38 codomain( Y ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 4.94/5.38 , clause( 20848, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y
% 4.94/5.38 ), Z ) ) ] )
% 4.94/5.38 , clause( 20849, [ =( compose( X, domain( X ) ), X ) ] )
% 4.94/5.38 , clause( 20850, [ =( compose( codomain( X ), X ), X ) ] )
% 4.94/5.38 , clause( 20851, [ 'there_exists'( compose( a, b ) ) ] )
% 4.94/5.38 , clause( 20852, [ 'there_exists'( compose( b, c ) ) ] )
% 4.94/5.38 , clause( 20853, [ ~( 'there_exists'( compose( a, compose( b, c ) ) ) ) ]
% 4.94/5.38 )
% 4.94/5.38 ] ).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 subsumption(
% 4.94/5.38 clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 4.94/5.38 , clause( 20843, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X )
% 4.94/5.38 ] )
% 4.94/5.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 4.94/5.38 1 )] ) ).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 subsumption(
% 4.94/5.38 clause( 4, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ] )
% 4.94/5.38 , clause( 20844, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X
% 4.94/5.38 ) ] )
% 4.94/5.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 4.94/5.38 1 )] ) ).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 subsumption(
% 4.94/5.38 clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain(
% 4.94/5.38 X ) ) ] )
% 4.94/5.38 , clause( 20845, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 4.94/5.38 domain( X ) ) ] )
% 4.94/5.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.94/5.38 ), ==>( 1, 1 )] ) ).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 subsumption(
% 4.94/5.38 clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 4.94/5.38 codomain( Y ) ) ] )
% 4.94/5.38 , clause( 20846, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 4.94/5.38 codomain( Y ) ) ] )
% 4.94/5.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.94/5.38 ), ==>( 1, 1 )] ) ).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 subsumption(
% 4.94/5.38 clause( 7, [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ),
% 4.94/5.38 codomain( Y ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 4.94/5.38 , clause( 20847, [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ),
% 4.94/5.38 codomain( Y ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 4.94/5.38 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.94/5.38 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 subsumption(
% 4.94/5.38 clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z
% 4.94/5.38 ) ) ] )
% 4.94/5.38 , clause( 20848, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y
% 4.94/5.38 ), Z ) ) ] )
% 4.94/5.38 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.94/5.38 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 subsumption(
% 4.94/5.38 clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 4.94/5.38 , clause( 20849, [ =( compose( X, domain( X ) ), X ) ] )
% 4.94/5.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 subsumption(
% 4.94/5.38 clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 4.94/5.38 , clause( 20850, [ =( compose( codomain( X ), X ), X ) ] )
% 4.94/5.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 subsumption(
% 4.94/5.38 clause( 11, [ 'there_exists'( compose( a, b ) ) ] )
% 4.94/5.38 , clause( 20851, [ 'there_exists'( compose( a, b ) ) ] )
% 4.94/5.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 subsumption(
% 4.94/5.38 clause( 12, [ 'there_exists'( compose( b, c ) ) ] )
% 4.94/5.38 , clause( 20852, [ 'there_exists'( compose( b, c ) ) ] )
% 4.94/5.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 paramod(
% 4.94/5.38 clause( 20922, [ ~( 'there_exists'( compose( compose( a, b ), c ) ) ) ] )
% 4.94/5.38 , clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ),
% 4.94/5.38 Z ) ) ] )
% 4.94/5.38 , 0, clause( 20853, [ ~( 'there_exists'( compose( a, compose( b, c ) ) ) )
% 4.94/5.38 ] )
% 4.94/5.38 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, c )] ),
% 4.94/5.38 substitution( 1, [] )).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 subsumption(
% 4.94/5.38 clause( 13, [ ~( 'there_exists'( compose( compose( a, b ), c ) ) ) ] )
% 4.94/5.38 , clause( 20922, [ ~( 'there_exists'( compose( compose( a, b ), c ) ) ) ]
% 4.94/5.38 )
% 4.94/5.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 resolution(
% 4.94/5.38 clause( 20923, [ 'there_exists'( domain( b ) ) ] )
% 4.94/5.38 , clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 4.94/5.38 domain( X ) ) ] )
% 4.94/5.38 , 0, clause( 12, [ 'there_exists'( compose( b, c ) ) ] )
% 4.94/5.38 , 0, substitution( 0, [ :=( X, b ), :=( Y, c )] ), substitution( 1, [] )
% 4.94/5.38 ).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 subsumption(
% 4.94/5.38 clause( 89, [ 'there_exists'( domain( b ) ) ] )
% 4.94/5.38 , clause( 20923, [ 'there_exists'( domain( b ) ) ] )
% 4.94/5.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 resolution(
% 4.94/5.38 clause( 20924, [ 'there_exists'( b ) ] )
% 4.94/5.38 , clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 4.94/5.38 , 0, clause( 89, [ 'there_exists'( domain( b ) ) ] )
% 4.94/5.38 , 0, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 subsumption(
% 4.94/5.38 clause( 104, [ 'there_exists'( b ) ] )
% 4.94/5.38 , clause( 20924, [ 'there_exists'( b ) ] )
% 4.94/5.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 eqswap(
% 4.94/5.38 clause( 20925, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 4.94/5.38 compose( X, Y ) ) ) ] )
% 4.94/5.38 , clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 4.94/5.38 codomain( Y ) ) ] )
% 4.94/5.38 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 resolution(
% 4.94/5.38 clause( 20926, [ =( codomain( X ), domain( Y ) ), ~( 'there_exists'( domain(
% 4.94/5.38 compose( Y, X ) ) ) ) ] )
% 4.94/5.38 , clause( 20925, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 4.94/5.38 compose( X, Y ) ) ) ] )
% 4.94/5.38 , 1, clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ]
% 4.94/5.38 )
% 4.94/5.38 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ :=( X
% 4.94/5.38 , compose( Y, X ) )] )).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 eqswap(
% 4.94/5.38 clause( 20927, [ =( domain( Y ), codomain( X ) ), ~( 'there_exists'( domain(
% 4.94/5.38 compose( Y, X ) ) ) ) ] )
% 4.94/5.38 , clause( 20926, [ =( codomain( X ), domain( Y ) ), ~( 'there_exists'(
% 4.94/5.38 domain( compose( Y, X ) ) ) ) ] )
% 4.94/5.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 subsumption(
% 4.94/5.38 clause( 114, [ =( domain( X ), codomain( Y ) ), ~( 'there_exists'( domain(
% 4.94/5.38 compose( X, Y ) ) ) ) ] )
% 4.94/5.38 , clause( 20927, [ =( domain( Y ), codomain( X ) ), ~( 'there_exists'(
% 4.94/5.38 domain( compose( Y, X ) ) ) ) ] )
% 4.94/5.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 4.94/5.38 ), ==>( 1, 1 )] ) ).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 eqswap(
% 4.94/5.38 clause( 20928, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 4.94/5.38 compose( X, Y ) ) ) ] )
% 4.94/5.38 , clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 4.94/5.38 codomain( Y ) ) ] )
% 4.94/5.38 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 resolution(
% 4.94/5.38 clause( 20929, [ =( codomain( c ), domain( b ) ) ] )
% 4.94/5.38 , clause( 20928, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 4.94/5.38 compose( X, Y ) ) ) ] )
% 4.94/5.38 , 1, clause( 12, [ 'there_exists'( compose( b, c ) ) ] )
% 4.94/5.38 , 0, substitution( 0, [ :=( X, b ), :=( Y, c )] ), substitution( 1, [] )
% 4.94/5.38 ).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 eqswap(
% 4.94/5.38 clause( 20930, [ =( domain( b ), codomain( c ) ) ] )
% 4.94/5.38 , clause( 20929, [ =( codomain( c ), domain( b ) ) ] )
% 4.94/5.38 , 0, substitution( 0, [] )).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 subsumption(
% 4.94/5.38 clause( 118, [ =( domain( b ), codomain( c ) ) ] )
% 4.94/5.38 , clause( 20930, [ =( domain( b ), codomain( c ) ) ] )
% 4.94/5.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 eqswap(
% 4.94/5.38 clause( 20932, [ =( X, compose( X, domain( X ) ) ) ] )
% 4.94/5.38 , clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 4.94/5.38 , 0, substitution( 0, [ :=( X, X )] )).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 paramod(
% 4.94/5.38 clause( 20933, [ =( b, compose( b, codomain( c ) ) ) ] )
% 4.94/5.38 , clause( 118, [ =( domain( b ), codomain( c ) ) ] )
% 4.94/5.38 , 0, clause( 20932, [ =( X, compose( X, domain( X ) ) ) ] )
% 4.94/5.38 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, b )] )).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 eqswap(
% 4.94/5.38 clause( 20934, [ =( compose( b, codomain( c ) ), b ) ] )
% 4.94/5.38 , clause( 20933, [ =( b, compose( b, codomain( c ) ) ) ] )
% 4.94/5.38 , 0, substitution( 0, [] )).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 subsumption(
% 4.94/5.38 clause( 226, [ =( compose( b, codomain( c ) ), b ) ] )
% 4.94/5.38 , clause( 20934, [ =( compose( b, codomain( c ) ), b ) ] )
% 4.94/5.38 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 eqswap(
% 4.94/5.38 clause( 20936, [ =( compose( compose( X, Y ), Z ), compose( X, compose( Y,
% 4.94/5.38 Z ) ) ) ] )
% 4.94/5.38 , clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ),
% 4.94/5.38 Z ) ) ] )
% 4.94/5.38 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 paramod(
% 4.94/5.38 clause( 20939, [ =( compose( compose( X, Y ), domain( Y ) ), compose( X, Y
% 4.94/5.38 ) ) ] )
% 4.94/5.38 , clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 4.94/5.38 , 0, clause( 20936, [ =( compose( compose( X, Y ), Z ), compose( X, compose(
% 4.94/5.38 Y, Z ) ) ) ] )
% 4.94/5.38 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 4.94/5.38 :=( Y, Y ), :=( Z, domain( Y ) )] )).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 subsumption(
% 4.94/5.38 clause( 227, [ =( compose( compose( Y, X ), domain( X ) ), compose( Y, X )
% 4.94/5.38 ) ] )
% 4.94/5.38 , clause( 20939, [ =( compose( compose( X, Y ), domain( Y ) ), compose( X,
% 4.94/5.38 Y ) ) ] )
% 4.94/5.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 4.94/5.38 )] ) ).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 paramod(
% 4.94/5.38 clause( 20944, [ ~( 'there_exists'( X ) ), 'there_exists'( domain( X ) ) ]
% 4.94/5.38 )
% 4.94/5.38 , clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 4.94/5.38 , 0, clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 4.94/5.38 domain( X ) ) ] )
% 4.94/5.38 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 4.94/5.38 :=( Y, domain( X ) )] )).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 subsumption(
% 4.94/5.38 clause( 231, [ ~( 'there_exists'( X ) ), 'there_exists'( domain( X ) ) ] )
% 4.94/5.38 , clause( 20944, [ ~( 'there_exists'( X ) ), 'there_exists'( domain( X ) )
% 4.94/5.38 ] )
% 4.94/5.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 4.94/5.38 1 )] ) ).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 eqswap(
% 4.94/5.38 clause( 20946, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 4.94/5.38 compose( X, Y ) ) ) ] )
% 4.94/5.38 , clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 4.94/5.38 codomain( Y ) ) ] )
% 4.94/5.38 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 paramod(
% 4.94/5.38 clause( 20949, [ ~( 'there_exists'( X ) ), =( codomain( X ), domain(
% 4.94/5.38 codomain( X ) ) ) ] )
% 4.94/5.38 , clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 4.94/5.38 , 0, clause( 20946, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 4.94/5.38 compose( X, Y ) ) ) ] )
% 4.94/5.38 , 1, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 4.94/5.38 codomain( X ) ), :=( Y, X )] )).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 eqswap(
% 4.94/5.38 clause( 20950, [ =( domain( codomain( X ) ), codomain( X ) ), ~(
% 4.94/5.38 'there_exists'( X ) ) ] )
% 4.94/5.38 , clause( 20949, [ ~( 'there_exists'( X ) ), =( codomain( X ), domain(
% 4.94/5.38 codomain( X ) ) ) ] )
% 4.94/5.38 , 1, substitution( 0, [ :=( X, X )] )).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 subsumption(
% 4.94/5.38 clause( 258, [ ~( 'there_exists'( X ) ), =( domain( codomain( X ) ),
% 4.94/5.38 codomain( X ) ) ] )
% 4.94/5.38 , clause( 20950, [ =( domain( codomain( X ) ), codomain( X ) ), ~(
% 4.94/5.38 'there_exists'( X ) ) ] )
% 4.94/5.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 4.94/5.38 0 )] ) ).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 paramod(
% 4.94/5.38 clause( 20953, [ ~( 'there_exists'( X ) ), 'there_exists'( domain( codomain(
% 4.94/5.38 X ) ) ) ] )
% 4.94/5.38 , clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 4.94/5.38 , 0, clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 4.94/5.38 domain( X ) ) ] )
% 4.94/5.38 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 4.94/5.38 codomain( X ) ), :=( Y, X )] )).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 paramod(
% 4.94/5.38 clause( 20954, [ 'there_exists'( codomain( X ) ), ~( 'there_exists'( X ) )
% 4.94/5.38 , ~( 'there_exists'( X ) ) ] )
% 4.94/5.38 , clause( 258, [ ~( 'there_exists'( X ) ), =( domain( codomain( X ) ),
% 4.94/5.38 codomain( X ) ) ] )
% 4.94/5.38 , 1, clause( 20953, [ ~( 'there_exists'( X ) ), 'there_exists'( domain(
% 4.94/5.38 codomain( X ) ) ) ] )
% 4.94/5.38 , 1, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 4.94/5.38 ).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 factor(
% 4.94/5.38 clause( 20955, [ 'there_exists'( codomain( X ) ), ~( 'there_exists'( X ) )
% 4.94/5.38 ] )
% 4.94/5.38 , clause( 20954, [ 'there_exists'( codomain( X ) ), ~( 'there_exists'( X )
% 4.94/5.38 ), ~( 'there_exists'( X ) ) ] )
% 4.94/5.38 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 subsumption(
% 4.94/5.38 clause( 260, [ ~( 'there_exists'( X ) ), 'there_exists'( codomain( X ) ) ]
% 4.94/5.38 )
% 4.94/5.38 , clause( 20955, [ 'there_exists'( codomain( X ) ), ~( 'there_exists'( X )
% 4.94/5.38 ) ] )
% 4.94/5.38 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 4.94/5.38 0 )] ) ).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 eqswap(
% 4.94/5.38 clause( 20956, [ ~( =( codomain( Y ), domain( X ) ) ), ~( 'there_exists'(
% 4.94/5.38 domain( X ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 4.94/5.38 , clause( 7, [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ),
% 4.94/5.38 codomain( Y ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 4.94/5.38 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 resolution(
% 4.94/5.38 clause( 20957, [ 'there_exists'( codomain( compose( X, Y ) ) ), ~( =(
% 4.94/5.38 codomain( Y ), domain( X ) ) ), ~( 'there_exists'( domain( X ) ) ) ] )
% 4.94/5.38 , clause( 260, [ ~( 'there_exists'( X ) ), 'there_exists'( codomain( X ) )
% 4.94/5.38 ] )
% 4.94/5.38 , 0, clause( 20956, [ ~( =( codomain( Y ), domain( X ) ) ), ~(
% 4.94/5.38 'there_exists'( domain( X ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 4.94/5.38 , 2, substitution( 0, [ :=( X, compose( X, Y ) )] ), substitution( 1, [
% 4.94/5.38 :=( X, X ), :=( Y, Y )] )).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 eqswap(
% 4.94/5.38 clause( 20958, [ ~( =( domain( Y ), codomain( X ) ) ), 'there_exists'(
% 4.94/5.38 codomain( compose( Y, X ) ) ), ~( 'there_exists'( domain( Y ) ) ) ] )
% 4.94/5.38 , clause( 20957, [ 'there_exists'( codomain( compose( X, Y ) ) ), ~( =(
% 4.94/5.38 codomain( Y ), domain( X ) ) ), ~( 'there_exists'( domain( X ) ) ) ] )
% 4.94/5.38 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 subsumption(
% 4.94/5.38 clause( 269, [ 'there_exists'( codomain( compose( X, Y ) ) ), ~(
% 4.94/5.38 'there_exists'( domain( X ) ) ), ~( =( domain( X ), codomain( Y ) ) ) ]
% 4.94/5.38 )
% 4.94/5.38 , clause( 20958, [ ~( =( domain( Y ), codomain( X ) ) ), 'there_exists'(
% 4.94/5.38 codomain( compose( Y, X ) ) ), ~( 'there_exists'( domain( Y ) ) ) ] )
% 4.94/5.38 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 2
% 4.94/5.38 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 4.94/5.38
% 4.94/5.38
% 4.94/5.38 resolution(
% 4.94/5.38 clause( 20959, [ ~( 'there_exists'( codomain( compose( compose( a, b ), c )
% 4.94/5.38 ) ) ) ] )
% 4.94/5.38 , clause( 13, [ ~( 'there_exists'( compose( compose( a, b ), c ) ) ) ] )
% 4.94/5.38 , 0, clause( 4, [ ~( 'there_Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------