%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : CAT009-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 14 23:54:11 EDT 2022
% Result : Unsatisfiable 3.76s 4.17s
% Output : Refutation 3.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : CAT009-4 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n024.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 19:32:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 3.76/4.17 *** allocated 10000 integers for termspace/termends
% 3.76/4.17 *** allocated 10000 integers for clauses
% 3.76/4.17 *** allocated 10000 integers for justifications
% 3.76/4.17 Bliksem 1.12
% 3.76/4.17
% 3.76/4.17
% 3.76/4.17 Automatic Strategy Selection
% 3.76/4.17
% 3.76/4.17 Clauses:
% 3.76/4.17 [
% 3.76/4.17 [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ],
% 3.76/4.17 [ ~( equivalent( X, Y ) ), =( X, Y ) ],
% 3.76/4.17 [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ],
% 3.76/4.17 [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ],
% 3.76/4.17 [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ],
% 3.76/4.17 [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain( X ) )
% 3.76/4.17 ],
% 3.76/4.17 [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ), codomain( Y )
% 3.76/4.17 ) ],
% 3.76/4.17 [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ), codomain( Y ) )
% 3.76/4.17 ), 'there_exists'( compose( X, Y ) ) ],
% 3.76/4.17 [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z ) ) ]
% 3.76/4.17 ,
% 3.76/4.17 [ =( compose( X, domain( X ) ), X ) ],
% 3.76/4.17 [ =( compose( codomain( X ), X ), X ) ],
% 3.76/4.17 [ 'there_exists'( compose( a, b ) ) ],
% 3.76/4.17 [ ~( =( domain( compose( a, b ) ), domain( b ) ) ) ]
% 3.76/4.17 ] .
% 3.76/4.17
% 3.76/4.17
% 3.76/4.17 percentage equality = 0.347826, percentage horn = 1.000000
% 3.76/4.17 This is a problem with some equality
% 3.76/4.17
% 3.76/4.17
% 3.76/4.17
% 3.76/4.17 Options Used:
% 3.76/4.17
% 3.76/4.17 useres = 1
% 3.76/4.17 useparamod = 1
% 3.76/4.17 useeqrefl = 1
% 3.76/4.17 useeqfact = 1
% 3.76/4.17 usefactor = 1
% 3.76/4.17 usesimpsplitting = 0
% 3.76/4.17 usesimpdemod = 5
% 3.76/4.17 usesimpres = 3
% 3.76/4.17
% 3.76/4.17 resimpinuse = 1000
% 3.76/4.17 resimpclauses = 20000
% 3.76/4.17 substype = eqrewr
% 3.76/4.17 backwardsubs = 1
% 3.76/4.17 selectoldest = 5
% 3.76/4.17
% 3.76/4.17 litorderings [0] = split
% 3.76/4.17 litorderings [1] = extend the termordering, first sorting on arguments
% 3.76/4.17
% 3.76/4.17 termordering = kbo
% 3.76/4.17
% 3.76/4.17 litapriori = 0
% 3.76/4.17 termapriori = 1
% 3.76/4.17 litaposteriori = 0
% 3.76/4.17 termaposteriori = 0
% 3.76/4.17 demodaposteriori = 0
% 3.76/4.17 ordereqreflfact = 0
% 3.76/4.17
% 3.76/4.17 litselect = negord
% 3.76/4.17
% 3.76/4.17 maxweight = 15
% 3.76/4.17 maxdepth = 30000
% 3.76/4.17 maxlength = 115
% 3.76/4.17 maxnrvars = 195
% 3.76/4.17 excuselevel = 1
% 3.76/4.17 increasemaxweight = 1
% 3.76/4.17
% 3.76/4.17 maxselected = 10000000
% 3.76/4.17 maxnrclauses = 10000000
% 3.76/4.17
% 3.76/4.17 showgenerated = 0
% 3.76/4.17 showkept = 0
% 3.76/4.17 showselected = 0
% 3.76/4.17 showdeleted = 0
% 3.76/4.17 showresimp = 1
% 3.76/4.17 showstatus = 2000
% 3.76/4.17
% 3.76/4.17 prologoutput = 1
% 3.76/4.17 nrgoals = 5000000
% 3.76/4.17 totalproof = 1
% 3.76/4.17
% 3.76/4.17 Symbols occurring in the translation:
% 3.76/4.17
% 3.76/4.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.76/4.17 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 3.76/4.17 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 3.76/4.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.76/4.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.76/4.17 equivalent [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 3.76/4.17 'there_exists' [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 3.76/4.17 domain [43, 1] (w:1, o:21, a:1, s:1, b:0),
% 3.76/4.17 codomain [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 3.76/4.17 compose [45, 2] (w:1, o:48, a:1, s:1, b:0),
% 3.76/4.17 a [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 3.76/4.17 b [48, 0] (w:1, o:13, a:1, s:1, b:0).
% 3.76/4.17
% 3.76/4.17
% 3.76/4.17 Starting Search:
% 3.76/4.17
% 3.76/4.17 Resimplifying inuse:
% 3.76/4.17 Done
% 3.76/4.17
% 3.76/4.17
% 3.76/4.17 Intermediate Status:
% 3.76/4.17 Generated: 4873
% 3.76/4.17 Kept: 2013
% 3.76/4.17 Inuse: 160
% 3.76/4.17 Deleted: 21
% 3.76/4.17 Deletedinuse: 4
% 3.76/4.17
% 3.76/4.17 Resimplifying inuse:
% 3.76/4.17 Done
% 3.76/4.17
% 3.76/4.17 Resimplifying inuse:
% 3.76/4.17 Done
% 3.76/4.17
% 3.76/4.17
% 3.76/4.17 Intermediate Status:
% 3.76/4.17 Generated: 11249
% 3.76/4.17 Kept: 4030
% 3.76/4.17 Inuse: 243
% 3.76/4.17 Deleted: 44
% 3.76/4.17 Deletedinuse: 16
% 3.76/4.17
% 3.76/4.17 Resimplifying inuse:
% 3.76/4.17 Done
% 3.76/4.17
% 3.76/4.17 Resimplifying inuse:
% 3.76/4.17 Done
% 3.76/4.17
% 3.76/4.17
% 3.76/4.17 Intermediate Status:
% 3.76/4.17 Generated: 17243
% 3.76/4.17 Kept: 6151
% 3.76/4.17 Inuse: 314
% 3.76/4.17 Deleted: 70
% 3.76/4.17 Deletedinuse: 16
% 3.76/4.17
% 3.76/4.17 Resimplifying inuse:
% 3.76/4.17 Done
% 3.76/4.17
% 3.76/4.17 Resimplifying inuse:
% 3.76/4.17 Done
% 3.76/4.17
% 3.76/4.17
% 3.76/4.17 Intermediate Status:
% 3.76/4.17 Generated: 22450
% 3.76/4.17 Kept: 8169
% 3.76/4.17 Inuse: 344
% 3.76/4.17 Deleted: 72
% 3.76/4.17 Deletedinuse: 16
% 3.76/4.17
% 3.76/4.17 Resimplifying inuse:
% 3.76/4.17 Done
% 3.76/4.17
% 3.76/4.17 Resimplifying inuse:
% 3.76/4.17 Done
% 3.76/4.17
% 3.76/4.17
% 3.76/4.17 Intermediate Status:
% 3.76/4.17 Generated: 30146
% 3.76/4.17 Kept: 10217
% 3.76/4.17 Inuse: 380
% 3.76/4.17 Deleted: 80
% 3.76/4.17 Deletedinuse: 18
% 3.76/4.17
% 3.76/4.17 Resimplifying inuse:
% 3.76/4.17 Done
% 3.76/4.17
% 3.76/4.17 Resimplifying inuse:
% 3.76/4.17 Done
% 3.76/4.17
% 3.76/4.17
% 3.76/4.17 Intermediate Status:
% 3.76/4.17 Generated: 43464
% 3.76/4.17 Kept: 12278
% 3.76/4.17 Inuse: 432
% 3.76/4.17 Deleted: 166
% 3.76/4.17 Deletedinuse: 87
% 3.76/4.17
% 3.76/4.17 Resimplifying inuse:
% 3.76/4.17 Done
% 3.76/4.17
% 3.76/4.17 Resimplifying inuse:
% 3.76/4.17 Done
% 3.76/4.17
% 3.76/4.17
% 3.76/4.17 Intermediate Status:
% 3.76/4.17 Generated: 63307
% 3.76/4.17 Kept: 14295
% 3.76/4.17 Inuse: 538
% 3.76/4.17 Deleted: 324
% 3.76/4.17 Deletedinuse: 163
% 3.76/4.17
% 3.76/4.17 Resimplifying inuse:
% 3.76/4.17 Done
% 3.76/4.17
% 3.76/4.17 Resimplifying inuse:
% 3.76/4.17 Done
% 3.76/4.17
% 3.76/4.17
% 3.76/4.17 Intermediate Status:
% 3.76/4.17 Generated: 77721
% 3.76/4.17 Kept: 16319
% 3.76/4.17 Inuse: 585
% 3.76/4.17 Deleted: 364
% 3.76/4.17 Deletedinuse: 198
% 3.76/4.17
% 3.76/4.17 Resimplifying inuse:
% 3.76/4.17 Done
% 3.76/4.17
% 3.76/4.17
% 3.76/4.17 Bliksems!, er is een bewijs:
% 3.76/4.17 % SZS status Unsatisfiable
% 3.76/4.17 % SZS output start Refutation
% 3.76/4.17
% 3.76/4.17 clause( 1, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 3.76/4.17 .
% 3.76/4.17 clause( 2, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ]
% 3.76/4.17 )
% 3.76/4.17 .
% 3.76/4.17 clause( 4, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ] )
% 3.76/4.17 .
% 3.76/4.17 clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain(
% 3.76/4.17 X ) ) ] )
% 3.76/4.17 .
% 3.76/4.17 clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 3.76/4.17 codomain( Y ) ) ] )
% 3.76/4.17 .
% 3.76/4.17 clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z
% 3.76/4.17 ) ) ] )
% 3.76/4.17 .
% 3.76/4.17 clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 3.76/4.17 .
% 3.76/4.17 clause( 11, [ 'there_exists'( compose( a, b ) ) ] )
% 3.76/4.17 .
% 3.76/4.17 clause( 12, [ ~( =( domain( compose( a, b ) ), domain( b ) ) ) ] )
% 3.76/4.17 .
% 3.76/4.17 clause( 82, [ 'there_exists'( domain( a ) ) ] )
% 3.76/4.17 .
% 3.76/4.17 clause( 110, [ =( domain( a ), codomain( b ) ) ] )
% 3.76/4.17 .
% 3.76/4.17 clause( 138, [ 'there_exists'( codomain( b ) ) ] )
% 3.76/4.17 .
% 3.76/4.17 clause( 143, [ 'there_exists'( b ) ] )
% 3.76/4.17 .
% 3.76/4.17 clause( 149, [ 'there_exists'( X ), ~( equivalent( b, X ) ) ] )
% 3.76/4.17 .
% 3.76/4.17 clause( 179, [ 'there_exists'( X ), ~( =( b, X ) ) ] )
% 3.76/4.17 .
% 3.76/4.17 clause( 183, [ ~( =( compose( X, Y ), b ) ), =( domain( X ), codomain( Y )
% 3.76/4.17 ) ] )
% 3.76/4.17 .
% 3.76/4.17 clause( 207, [ =( compose( compose( Y, X ), domain( X ) ), compose( Y, X )
% 3.76/4.17 ) ] )
% 3.76/4.17 .
% 3.76/4.17 clause( 211, [ ~( 'there_exists'( X ) ), 'there_exists'( domain( X ) ) ] )
% 3.76/4.17 .
% 3.76/4.17 clause( 224, [ ~( 'there_exists'( X ) ), ~( =( domain( X ), Y ) ),
% 3.76/4.17 equivalent( domain( X ), Y ) ] )
% 3.76/4.17 .
% 3.76/4.17 clause( 255, [ ~( =( X, domain( b ) ) ), ~( equivalent( domain( compose( a
% 3.76/4.17 , b ) ), X ) ) ] )
% 3.76/4.17 .
% 3.76/4.17 clause( 266, [ ~( equivalent( domain( compose( a, b ) ), domain( b ) ) ) ]
% 3.76/4.17 )
% 3.76/4.17 .
% 3.76/4.17 clause( 13420, [ =( codomain( domain( b ) ), domain( b ) ) ] )
% 3.76/4.17 .
% 3.76/4.17 clause( 15620, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( compose(
% 3.76/4.17 X, Y ) ), codomain( domain( Y ) ) ) ] )
% 3.76/4.17 .
% 3.76/4.17 clause( 16853, [] )
% 3.76/4.17 .
% 3.76/4.17
% 3.76/4.17
% 3.76/4.17 % SZS output end Refutation
% 3.76/4.17 found a proof!
% 3.76/4.17
% 3.76/4.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.76/4.17
% 3.76/4.17 initialclauses(
% 3.76/4.17 [ clause( 16855, [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ] )
% 3.76/4.17 , clause( 16856, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 3.76/4.17 , clause( 16857, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X
% 3.76/4.17 , Y ) ] )
% 3.76/4.17 , clause( 16858, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X )
% 3.76/4.17 ] )
% 3.76/4.17 , clause( 16859, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X
% 3.76/4.17 ) ] )
% 3.76/4.17 , clause( 16860, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 3.76/4.17 domain( X ) ) ] )
% 3.76/4.17 , clause( 16861, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 3.76/4.17 codomain( Y ) ) ] )
% 3.76/4.17 , clause( 16862, [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ),
% 3.76/4.17 codomain( Y ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 3.76/4.17 , clause( 16863, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y
% 3.76/4.17 ), Z ) ) ] )
% 3.76/4.17 , clause( 16864, [ =( compose( X, domain( X ) ), X ) ] )
% 3.76/4.17 , clause( 16865, [ =( compose( codomain( X ), X ), X ) ] )
% 3.76/4.17 , clause( 16866, [ 'there_exists'( compose( a, b ) ) ] )
% 3.76/4.17 , clause( 16867, [ ~( =( domain( compose( a, b ) ), domain( b ) ) ) ] )
% 3.76/4.17 ] ).
% 3.76/4.17
% 3.76/4.17
% 3.76/4.17
% 3.76/4.17 subsumption(
% 3.76/4.17 clause( 1, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 3.76/4.17 , clause( 16856, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 3.76/4.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.76/4.17 ), ==>( 1, 1 )] ) ).
% 3.76/4.17
% 3.76/4.17
% 3.76/4.17 subsumption(
% 3.76/4.17 clause( 2, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ]
% 3.76/4.17 )
% 3.76/4.17 , clause( 16857, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X
% 3.76/4.17 , Y ) ] )
% 3.76/4.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.76/4.17 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 3.76/4.17
% 3.76/4.17
% 3.76/4.17 subsumption(
% 3.76/4.17 clause( 4, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ] )
% 3.76/4.17 , clause( 16859, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X
% 3.76/4.17 ) ] )
% 3.76/4.17 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 3.76/4.17 1 )] ) ).
% 3.76/4.17
% 3.76/4.17
% 3.76/4.17 subsumption(
% 3.76/4.17 clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain(
% 3.76/4.17 X ) ) ] )
% 3.76/4.17 , clause( 16860, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 3.76/4.17 domain( X ) ) ] )
% 3.76/4.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.76/4.17 ), ==>( 1, 1 )] ) ).
% 3.76/4.17
% 3.76/4.17
% 3.76/4.17 subsumption(
% 3.76/4.17 clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 6.03/6.47 codomain( Y ) ) ] )
% 6.03/6.47 , clause( 16861, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 6.03/6.47 codomain( Y ) ) ] )
% 6.03/6.47 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.03/6.47 ), ==>( 1, 1 )] ) ).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 subsumption(
% 6.03/6.47 clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z
% 6.03/6.47 ) ) ] )
% 6.03/6.47 , clause( 16863, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y
% 6.03/6.47 ), Z ) ) ] )
% 6.03/6.47 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.03/6.47 permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 subsumption(
% 6.03/6.47 clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 6.03/6.47 , clause( 16864, [ =( compose( X, domain( X ) ), X ) ] )
% 6.03/6.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 subsumption(
% 6.03/6.47 clause( 11, [ 'there_exists'( compose( a, b ) ) ] )
% 6.03/6.47 , clause( 16866, [ 'there_exists'( compose( a, b ) ) ] )
% 6.03/6.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 subsumption(
% 6.03/6.47 clause( 12, [ ~( =( domain( compose( a, b ) ), domain( b ) ) ) ] )
% 6.03/6.47 , clause( 16867, [ ~( =( domain( compose( a, b ) ), domain( b ) ) ) ] )
% 6.03/6.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 resolution(
% 6.03/6.47 clause( 16904, [ 'there_exists'( domain( a ) ) ] )
% 6.03/6.47 , clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 6.03/6.47 domain( X ) ) ] )
% 6.03/6.47 , 0, clause( 11, [ 'there_exists'( compose( a, b ) ) ] )
% 6.03/6.47 , 0, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 6.03/6.47 ).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 subsumption(
% 6.03/6.47 clause( 82, [ 'there_exists'( domain( a ) ) ] )
% 6.03/6.47 , clause( 16904, [ 'there_exists'( domain( a ) ) ] )
% 6.03/6.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 eqswap(
% 6.03/6.47 clause( 16905, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 6.03/6.47 compose( X, Y ) ) ) ] )
% 6.03/6.47 , clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 6.03/6.47 codomain( Y ) ) ] )
% 6.03/6.47 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 resolution(
% 6.03/6.47 clause( 16906, [ =( codomain( b ), domain( a ) ) ] )
% 6.03/6.47 , clause( 16905, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 6.03/6.47 compose( X, Y ) ) ) ] )
% 6.03/6.47 , 1, clause( 11, [ 'there_exists'( compose( a, b ) ) ] )
% 6.03/6.47 , 0, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 6.03/6.47 ).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 eqswap(
% 6.03/6.47 clause( 16907, [ =( domain( a ), codomain( b ) ) ] )
% 6.03/6.47 , clause( 16906, [ =( codomain( b ), domain( a ) ) ] )
% 6.03/6.47 , 0, substitution( 0, [] )).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 subsumption(
% 6.03/6.47 clause( 110, [ =( domain( a ), codomain( b ) ) ] )
% 6.03/6.47 , clause( 16907, [ =( domain( a ), codomain( b ) ) ] )
% 6.03/6.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 paramod(
% 6.03/6.47 clause( 16909, [ 'there_exists'( codomain( b ) ) ] )
% 6.03/6.47 , clause( 110, [ =( domain( a ), codomain( b ) ) ] )
% 6.03/6.47 , 0, clause( 82, [ 'there_exists'( domain( a ) ) ] )
% 6.03/6.47 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 subsumption(
% 6.03/6.47 clause( 138, [ 'there_exists'( codomain( b ) ) ] )
% 6.03/6.47 , clause( 16909, [ 'there_exists'( codomain( b ) ) ] )
% 6.03/6.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 resolution(
% 6.03/6.47 clause( 16910, [ 'there_exists'( b ) ] )
% 6.03/6.47 , clause( 4, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ]
% 6.03/6.47 )
% 6.03/6.47 , 0, clause( 138, [ 'there_exists'( codomain( b ) ) ] )
% 6.03/6.47 , 0, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 subsumption(
% 6.03/6.47 clause( 143, [ 'there_exists'( b ) ] )
% 6.03/6.47 , clause( 16910, [ 'there_exists'( b ) ] )
% 6.03/6.47 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 paramod(
% 6.03/6.47 clause( 17366, [ 'there_exists'( X ), ~( equivalent( b, X ) ) ] )
% 6.03/6.47 , clause( 1, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 6.03/6.47 , 1, clause( 143, [ 'there_exists'( b ) ] )
% 6.03/6.47 , 0, 1, substitution( 0, [ :=( X, b ), :=( Y, X )] ), substitution( 1, [] )
% 6.03/6.47 ).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 subsumption(
% 6.03/6.47 clause( 149, [ 'there_exists'( X ), ~( equivalent( b, X ) ) ] )
% 6.03/6.47 , clause( 17366, [ 'there_exists'( X ), ~( equivalent( b, X ) ) ] )
% 6.03/6.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.03/6.47 1 )] ) ).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 eqswap(
% 6.03/6.47 clause( 17820, [ ~( =( Y, X ) ), ~( 'there_exists'( X ) ), equivalent( X, Y
% 6.03/6.47 ) ] )
% 6.03/6.47 , clause( 2, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y )
% 6.03/6.47 ] )
% 6.03/6.47 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 resolution(
% 6.03/6.47 clause( 17821, [ 'there_exists'( X ), ~( =( X, b ) ), ~( 'there_exists'( b
% 6.03/6.47 ) ) ] )
% 6.03/6.47 , clause( 149, [ 'there_exists'( X ), ~( equivalent( b, X ) ) ] )
% 6.03/6.47 , 1, clause( 17820, [ ~( =( Y, X ) ), ~( 'there_exists'( X ) ), equivalent(
% 6.03/6.47 X, Y ) ] )
% 6.03/6.47 , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, b ), :=( Y
% 6.03/6.47 , X )] )).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 resolution(
% 6.03/6.47 clause( 17822, [ 'there_exists'( X ), ~( =( X, b ) ) ] )
% 6.03/6.47 , clause( 17821, [ 'there_exists'( X ), ~( =( X, b ) ), ~( 'there_exists'(
% 6.03/6.47 b ) ) ] )
% 6.03/6.47 , 2, clause( 143, [ 'there_exists'( b ) ] )
% 6.03/6.47 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 eqswap(
% 6.03/6.47 clause( 17823, [ ~( =( b, X ) ), 'there_exists'( X ) ] )
% 6.03/6.47 , clause( 17822, [ 'there_exists'( X ), ~( =( X, b ) ) ] )
% 6.03/6.47 , 1, substitution( 0, [ :=( X, X )] )).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 subsumption(
% 6.03/6.47 clause( 179, [ 'there_exists'( X ), ~( =( b, X ) ) ] )
% 6.03/6.47 , clause( 17823, [ ~( =( b, X ) ), 'there_exists'( X ) ] )
% 6.03/6.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 6.03/6.47 0 )] ) ).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 eqswap(
% 6.03/6.47 clause( 17824, [ ~( =( X, b ) ), 'there_exists'( X ) ] )
% 6.03/6.47 , clause( 179, [ 'there_exists'( X ), ~( =( b, X ) ) ] )
% 6.03/6.47 , 1, substitution( 0, [ :=( X, X )] )).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 eqswap(
% 6.03/6.47 clause( 17825, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 6.03/6.47 compose( X, Y ) ) ) ] )
% 6.03/6.47 , clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 6.03/6.47 codomain( Y ) ) ] )
% 6.03/6.47 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 resolution(
% 6.03/6.47 clause( 17826, [ =( codomain( X ), domain( Y ) ), ~( =( compose( Y, X ), b
% 6.03/6.47 ) ) ] )
% 6.03/6.47 , clause( 17825, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 6.03/6.47 compose( X, Y ) ) ) ] )
% 6.03/6.47 , 1, clause( 17824, [ ~( =( X, b ) ), 'there_exists'( X ) ] )
% 6.03/6.47 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ :=( X
% 6.03/6.47 , compose( Y, X ) )] )).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 eqswap(
% 6.03/6.47 clause( 17827, [ =( domain( Y ), codomain( X ) ), ~( =( compose( Y, X ), b
% 6.03/6.47 ) ) ] )
% 6.03/6.47 , clause( 17826, [ =( codomain( X ), domain( Y ) ), ~( =( compose( Y, X ),
% 6.03/6.47 b ) ) ] )
% 6.03/6.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 subsumption(
% 6.03/6.47 clause( 183, [ ~( =( compose( X, Y ), b ) ), =( domain( X ), codomain( Y )
% 6.03/6.47 ) ] )
% 6.03/6.47 , clause( 17827, [ =( domain( Y ), codomain( X ) ), ~( =( compose( Y, X ),
% 6.03/6.47 b ) ) ] )
% 6.03/6.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 6.03/6.47 ), ==>( 1, 0 )] ) ).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 eqswap(
% 6.03/6.47 clause( 17831, [ =( compose( compose( X, Y ), Z ), compose( X, compose( Y,
% 6.03/6.47 Z ) ) ) ] )
% 6.03/6.47 , clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ),
% 6.03/6.47 Z ) ) ] )
% 6.03/6.47 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 paramod(
% 6.03/6.47 clause( 17834, [ =( compose( compose( X, Y ), domain( Y ) ), compose( X, Y
% 6.03/6.47 ) ) ] )
% 6.03/6.47 , clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 6.03/6.47 , 0, clause( 17831, [ =( compose( compose( X, Y ), Z ), compose( X, compose(
% 6.03/6.47 Y, Z ) ) ) ] )
% 6.03/6.47 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 6.03/6.47 :=( Y, Y ), :=( Z, domain( Y ) )] )).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 subsumption(
% 6.03/6.47 clause( 207, [ =( compose( compose( Y, X ), domain( X ) ), compose( Y, X )
% 6.03/6.47 ) ] )
% 6.03/6.47 , clause( 17834, [ =( compose( compose( X, Y ), domain( Y ) ), compose( X,
% 6.03/6.47 Y ) ) ] )
% 6.03/6.47 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 6.03/6.47 )] ) ).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 paramod(
% 6.03/6.47 clause( 17839, [ ~( 'there_exists'( X ) ), 'there_exists'( domain( X ) ) ]
% 6.03/6.47 )
% 6.03/6.47 , clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 6.03/6.47 , 0, clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 6.03/6.47 domain( X ) ) ] )
% 6.03/6.47 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 6.03/6.47 :=( Y, domain( X ) )] )).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 subsumption(
% 6.03/6.47 clause( 211, [ ~( 'there_exists'( X ) ), 'there_exists'( domain( X ) ) ] )
% 6.03/6.47 , clause( 17839, [ ~( 'there_exists'( X ) ), 'there_exists'( domain( X ) )
% 6.03/6.47 ] )
% 6.03/6.47 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.03/6.47 1 )] ) ).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 eqswap(
% 6.03/6.47 clause( 17840, [ ~( =( Y, X ) ), ~( 'there_exists'( X ) ), equivalent( X, Y
% 6.03/6.47 ) ] )
% 6.03/6.47 , clause( 2, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y )
% 6.03/6.47 ] )
% 6.03/6.47 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.03/6.47
% 6.03/6.47
% 6.03/6.47 resolution(
% 6.03/6.47 clause( 17841, [ ~( =( X, domain( Y ) ) ), equivalent( domain( Y ), X ),
% 6.03/6.47 ~( 'there_exists'( Y ) ) ] )
% 6.03/6.47 , Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------