TSTP Solution File: CAT018-3 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : CAT018-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 6.47s 6.83s
% Output : Refutation 6.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CAT018-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14 % Command : bliksem %s
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % DateTime : Sun May 29 21:13:41 EDT 2022
% 0.15/0.35 % CPUTime :
% 6.47/6.83 *** allocated 10000 integers for termspace/termends
% 6.47/6.83 *** allocated 10000 integers for clauses
% 6.47/6.83 *** allocated 10000 integers for justifications
% 6.47/6.83 Bliksem 1.12
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 Automatic Strategy Selection
% 6.47/6.83
% 6.47/6.83 Clauses:
% 6.47/6.83 [
% 6.47/6.83 [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ],
% 6.47/6.83 [ ~( equivalent( X, Y ) ), =( X, Y ) ],
% 6.47/6.83 [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ],
% 6.47/6.83 [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ],
% 6.47/6.83 [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ],
% 6.47/6.83 [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain( X ) )
% 6.47/6.83 ],
% 6.47/6.83 [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ), codomain( Y )
% 6.47/6.83 ) ],
% 6.47/6.83 [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ), codomain( Y ) )
% 6.47/6.83 ), 'there_exists'( compose( X, Y ) ) ],
% 6.47/6.83 [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z ) ) ]
% 6.47/6.83 ,
% 6.47/6.83 [ =( compose( X, domain( X ) ), X ) ],
% 6.47/6.83 [ =( compose( codomain( X ), X ), X ) ],
% 6.47/6.83 [ ~( equivalent( X, Y ) ), 'there_exists'( Y ) ],
% 6.47/6.83 [ ~( 'there_exists'( X ) ), ~( 'there_exists'( Y ) ), ~( =( X, Y ) ),
% 6.47/6.83 equivalent( X, Y ) ],
% 6.47/6.83 [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( codomain( X )
% 6.47/6.83 ) ],
% 6.47/6.83 [ 'there_exists'( f1( X, Y ) ), =( X, Y ) ],
% 6.47/6.83 [ =( X, f1( X, Y ) ), =( Y, f1( X, Y ) ), =( X, Y ) ],
% 6.47/6.83 [ ~( =( X, f1( X, Y ) ) ), ~( =( Y, f1( X, Y ) ) ), =( X, Y ) ],
% 6.47/6.83 [ 'there_exists'( compose( a, b ) ) ],
% 6.47/6.83 [ 'there_exists'( compose( b, c ) ) ],
% 6.47/6.83 [ ~( 'there_exists'( compose( a, compose( b, c ) ) ) ) ]
% 6.47/6.83 ] .
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 percentage equality = 0.388889, percentage horn = 0.894737
% 6.47/6.83 This is a problem with some equality
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 Options Used:
% 6.47/6.83
% 6.47/6.83 useres = 1
% 6.47/6.83 useparamod = 1
% 6.47/6.83 useeqrefl = 1
% 6.47/6.83 useeqfact = 1
% 6.47/6.83 usefactor = 1
% 6.47/6.83 usesimpsplitting = 0
% 6.47/6.83 usesimpdemod = 5
% 6.47/6.83 usesimpres = 3
% 6.47/6.83
% 6.47/6.83 resimpinuse = 1000
% 6.47/6.83 resimpclauses = 20000
% 6.47/6.83 substype = eqrewr
% 6.47/6.83 backwardsubs = 1
% 6.47/6.83 selectoldest = 5
% 6.47/6.83
% 6.47/6.83 litorderings [0] = split
% 6.47/6.83 litorderings [1] = extend the termordering, first sorting on arguments
% 6.47/6.83
% 6.47/6.83 termordering = kbo
% 6.47/6.83
% 6.47/6.83 litapriori = 0
% 6.47/6.83 termapriori = 1
% 6.47/6.83 litaposteriori = 0
% 6.47/6.83 termaposteriori = 0
% 6.47/6.83 demodaposteriori = 0
% 6.47/6.83 ordereqreflfact = 0
% 6.47/6.83
% 6.47/6.83 litselect = negord
% 6.47/6.83
% 6.47/6.83 maxweight = 15
% 6.47/6.83 maxdepth = 30000
% 6.47/6.83 maxlength = 115
% 6.47/6.83 maxnrvars = 195
% 6.47/6.83 excuselevel = 1
% 6.47/6.83 increasemaxweight = 1
% 6.47/6.83
% 6.47/6.83 maxselected = 10000000
% 6.47/6.83 maxnrclauses = 10000000
% 6.47/6.83
% 6.47/6.83 showgenerated = 0
% 6.47/6.83 showkept = 0
% 6.47/6.83 showselected = 0
% 6.47/6.83 showdeleted = 0
% 6.47/6.83 showresimp = 1
% 6.47/6.83 showstatus = 2000
% 6.47/6.83
% 6.47/6.83 prologoutput = 1
% 6.47/6.83 nrgoals = 5000000
% 6.47/6.83 totalproof = 1
% 6.47/6.83
% 6.47/6.83 Symbols occurring in the translation:
% 6.47/6.83
% 6.47/6.83 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 6.47/6.83 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 6.47/6.83 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 6.47/6.83 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.47/6.83 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.47/6.83 equivalent [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 6.47/6.83 'there_exists' [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 6.47/6.83 domain [43, 1] (w:1, o:22, a:1, s:1, b:0),
% 6.47/6.83 codomain [44, 1] (w:1, o:21, a:1, s:1, b:0),
% 6.47/6.83 compose [45, 2] (w:1, o:49, a:1, s:1, b:0),
% 6.47/6.83 f1 [47, 2] (w:1, o:50, a:1, s:1, b:0),
% 6.47/6.83 a [48, 0] (w:1, o:12, a:1, s:1, b:0),
% 6.47/6.83 b [49, 0] (w:1, o:13, a:1, s:1, b:0),
% 6.47/6.83 c [50, 0] (w:1, o:14, a:1, s:1, b:0).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 Starting Search:
% 6.47/6.83
% 6.47/6.83 Resimplifying inuse:
% 6.47/6.83 Done
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 Intermediate Status:
% 6.47/6.83 Generated: 5582
% 6.47/6.83 Kept: 2003
% 6.47/6.83 Inuse: 110
% 6.47/6.83 Deleted: 5
% 6.47/6.83 Deletedinuse: 2
% 6.47/6.83
% 6.47/6.83 Resimplifying inuse:
% 6.47/6.83 Done
% 6.47/6.83
% 6.47/6.83 Resimplifying inuse:
% 6.47/6.83 Done
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 Intermediate Status:
% 6.47/6.83 Generated: 11508
% 6.47/6.83 Kept: 4011
% 6.47/6.83 Inuse: 188
% 6.47/6.83 Deleted: 30
% 6.47/6.83 Deletedinuse: 8
% 6.47/6.83
% 6.47/6.83 Resimplifying inuse:
% 6.47/6.83 Done
% 6.47/6.83
% 6.47/6.83 Resimplifying inuse:
% 6.47/6.83 Done
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 Intermediate Status:
% 6.47/6.83 Generated: 17600
% 6.47/6.83 Kept: 6023
% 6.47/6.83 Inuse: 258
% 6.47/6.83 Deleted: 32
% 6.47/6.83 Deletedinuse: 8
% 6.47/6.83
% 6.47/6.83 Resimplifying inuse:
% 6.47/6.83 Done
% 6.47/6.83
% 6.47/6.83 Resimplifying inuse:
% 6.47/6.83 Done
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 Intermediate Status:
% 6.47/6.83 Generated: 24228
% 6.47/6.83 Kept: 8149
% 6.47/6.83 Inuse: 307
% 6.47/6.83 Deleted: 47
% 6.47/6.83 Deletedinuse: 8
% 6.47/6.83
% 6.47/6.83 Resimplifying inuse:
% 6.47/6.83 Done
% 6.47/6.83
% 6.47/6.83 Resimplifying inuse:
% 6.47/6.83 Done
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 Intermediate Status:
% 6.47/6.83 Generated: 31442
% 6.47/6.83 Kept: 10195
% 6.47/6.83 Inuse: 338
% 6.47/6.83 Deleted: 49
% 6.47/6.83 Deletedinuse: 8
% 6.47/6.83
% 6.47/6.83 Resimplifying inuse:
% 6.47/6.83 Done
% 6.47/6.83
% 6.47/6.83 Resimplifying inuse:
% 6.47/6.83 Done
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 Intermediate Status:
% 6.47/6.83 Generated: 38466
% 6.47/6.83 Kept: 12240
% 6.47/6.83 Inuse: 363
% 6.47/6.83 Deleted: 56
% 6.47/6.83 Deletedinuse: 8
% 6.47/6.83
% 6.47/6.83 Resimplifying inuse:
% 6.47/6.83 Done
% 6.47/6.83
% 6.47/6.83 Resimplifying inuse:
% 6.47/6.83 Done
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 Intermediate Status:
% 6.47/6.83 Generated: 46637
% 6.47/6.83 Kept: 14253
% 6.47/6.83 Inuse: 392
% 6.47/6.83 Deleted: 64
% 6.47/6.83 Deletedinuse: 8
% 6.47/6.83
% 6.47/6.83 Resimplifying inuse:
% 6.47/6.83 Done
% 6.47/6.83
% 6.47/6.83 Resimplifying inuse:
% 6.47/6.83 Done
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 Intermediate Status:
% 6.47/6.83 Generated: 55040
% 6.47/6.83 Kept: 16451
% 6.47/6.83 Inuse: 431
% 6.47/6.83 Deleted: 84
% 6.47/6.83 Deletedinuse: 8
% 6.47/6.83
% 6.47/6.83 Resimplifying inuse:
% 6.47/6.83 Done
% 6.47/6.83
% 6.47/6.83 Resimplifying inuse:
% 6.47/6.83 Done
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 Intermediate Status:
% 6.47/6.83 Generated: 61290
% 6.47/6.83 Kept: 18486
% 6.47/6.83 Inuse: 452
% 6.47/6.83 Deleted: 86
% 6.47/6.83 Deletedinuse: 9
% 6.47/6.83
% 6.47/6.83 Resimplifying inuse:
% 6.47/6.83 Done
% 6.47/6.83
% 6.47/6.83 Resimplifying inuse:
% 6.47/6.83 Done
% 6.47/6.83
% 6.47/6.83 Resimplifying clauses:
% 6.47/6.83 Done
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 Intermediate Status:
% 6.47/6.83 Generated: 69367
% 6.47/6.83 Kept: 20542
% 6.47/6.83 Inuse: 488
% 6.47/6.83 Deleted: 1376
% 6.47/6.83 Deletedinuse: 9
% 6.47/6.83
% 6.47/6.83 Resimplifying inuse:
% 6.47/6.83 Done
% 6.47/6.83
% 6.47/6.83 Resimplifying inuse:
% 6.47/6.83 Done
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 Intermediate Status:
% 6.47/6.83 Generated: 77699
% 6.47/6.83 Kept: 22542
% 6.47/6.83 Inuse: 519
% 6.47/6.83 Deleted: 1407
% 6.47/6.83 Deletedinuse: 40
% 6.47/6.83
% 6.47/6.83 Resimplifying inuse:
% 6.47/6.83 Done
% 6.47/6.83
% 6.47/6.83 Resimplifying inuse:
% 6.47/6.83 Done
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 Bliksems!, er is een bewijs:
% 6.47/6.83 % SZS status Unsatisfiable
% 6.47/6.83 % SZS output start Refutation
% 6.47/6.83
% 6.47/6.83 clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 6.47/6.83 .
% 6.47/6.83 clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain(
% 6.47/6.83 X ) ) ] )
% 6.47/6.83 .
% 6.47/6.83 clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 6.47/6.83 codomain( Y ) ) ] )
% 6.47/6.83 .
% 6.47/6.83 clause( 7, [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ),
% 6.47/6.83 codomain( Y ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 6.47/6.83 .
% 6.47/6.83 clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z
% 6.47/6.83 ) ) ] )
% 6.47/6.83 .
% 6.47/6.83 clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 6.47/6.83 .
% 6.47/6.83 clause( 16, [ 'there_exists'( compose( a, b ) ) ] )
% 6.47/6.83 .
% 6.47/6.83 clause( 17, [ 'there_exists'( compose( b, c ) ) ] )
% 6.47/6.83 .
% 6.47/6.83 clause( 18, [ ~( 'there_exists'( compose( compose( a, b ), c ) ) ) ] )
% 6.47/6.83 .
% 6.47/6.83 clause( 81, [ 'there_exists'( domain( b ) ) ] )
% 6.47/6.83 .
% 6.47/6.83 clause( 90, [ 'there_exists'( b ) ] )
% 6.47/6.83 .
% 6.47/6.83 clause( 99, [ =( domain( X ), codomain( Y ) ), ~( 'there_exists'( domain(
% 6.47/6.83 compose( X, Y ) ) ) ) ] )
% 6.47/6.83 .
% 6.47/6.83 clause( 104, [ =( domain( b ), codomain( c ) ) ] )
% 6.47/6.83 .
% 6.47/6.83 clause( 171, [ =( compose( compose( Y, X ), domain( X ) ), compose( Y, X )
% 6.47/6.83 ) ] )
% 6.47/6.83 .
% 6.47/6.83 clause( 172, [ =( compose( b, codomain( c ) ), b ) ] )
% 6.47/6.83 .
% 6.47/6.83 clause( 176, [ ~( 'there_exists'( X ) ), 'there_exists'( domain( X ) ) ] )
% 6.47/6.83 .
% 6.47/6.83 clause( 182, [ 'there_exists'( domain( compose( X, Y ) ) ), ~(
% 6.47/6.83 'there_exists'( domain( X ) ) ), ~( =( domain( X ), codomain( Y ) ) ) ]
% 6.47/6.83 )
% 6.47/6.83 .
% 6.47/6.83 clause( 193, [ 'there_exists'( domain( compose( a, b ) ) ) ] )
% 6.47/6.83 .
% 6.47/6.83 clause( 1118, [ ~( 'there_exists'( domain( compose( compose( a, b ), c ) )
% 6.47/6.83 ) ) ] )
% 6.47/6.83 .
% 6.47/6.83 clause( 2502, [ =( codomain( codomain( c ) ), codomain( c ) ) ] )
% 6.47/6.83 .
% 6.47/6.83 clause( 23095, [ =( domain( compose( X, Y ) ), codomain( domain( Y ) ) ),
% 6.47/6.83 ~( 'there_exists'( domain( compose( X, Y ) ) ) ) ] )
% 6.47/6.83 .
% 6.47/6.83 clause( 24218, [] )
% 6.47/6.83 .
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 % SZS output end Refutation
% 6.47/6.83 found a proof!
% 6.47/6.83
% 6.47/6.83 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 6.47/6.83
% 6.47/6.83 initialclauses(
% 6.47/6.83 [ clause( 24220, [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ] )
% 6.47/6.83 , clause( 24221, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 6.47/6.83 , clause( 24222, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X
% 6.47/6.83 , Y ) ] )
% 6.47/6.83 , clause( 24223, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X )
% 6.47/6.83 ] )
% 6.47/6.83 , clause( 24224, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X
% 6.47/6.83 ) ] )
% 6.47/6.83 , clause( 24225, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 6.47/6.83 domain( X ) ) ] )
% 6.47/6.83 , clause( 24226, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 6.47/6.83 codomain( Y ) ) ] )
% 6.47/6.83 , clause( 24227, [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ),
% 6.47/6.83 codomain( Y ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 6.47/6.83 , clause( 24228, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y
% 6.47/6.83 ), Z ) ) ] )
% 6.47/6.83 , clause( 24229, [ =( compose( X, domain( X ) ), X ) ] )
% 6.47/6.83 , clause( 24230, [ =( compose( codomain( X ), X ), X ) ] )
% 6.47/6.83 , clause( 24231, [ ~( equivalent( X, Y ) ), 'there_exists'( Y ) ] )
% 6.47/6.83 , clause( 24232, [ ~( 'there_exists'( X ) ), ~( 'there_exists'( Y ) ), ~(
% 6.47/6.83 =( X, Y ) ), equivalent( X, Y ) ] )
% 6.47/6.83 , clause( 24233, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 6.47/6.83 codomain( X ) ) ] )
% 6.47/6.83 , clause( 24234, [ 'there_exists'( f1( X, Y ) ), =( X, Y ) ] )
% 6.47/6.83 , clause( 24235, [ =( X, f1( X, Y ) ), =( Y, f1( X, Y ) ), =( X, Y ) ] )
% 6.47/6.83 , clause( 24236, [ ~( =( X, f1( X, Y ) ) ), ~( =( Y, f1( X, Y ) ) ), =( X,
% 6.47/6.83 Y ) ] )
% 6.47/6.83 , clause( 24237, [ 'there_exists'( compose( a, b ) ) ] )
% 6.47/6.83 , clause( 24238, [ 'there_exists'( compose( b, c ) ) ] )
% 6.47/6.83 , clause( 24239, [ ~( 'there_exists'( compose( a, compose( b, c ) ) ) ) ]
% 6.47/6.83 )
% 6.47/6.83 ] ).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 subsumption(
% 6.47/6.83 clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 6.47/6.83 , clause( 24223, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X )
% 6.47/6.83 ] )
% 6.47/6.83 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.47/6.83 1 )] ) ).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 subsumption(
% 6.47/6.83 clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain(
% 6.47/6.83 X ) ) ] )
% 6.47/6.83 , clause( 24225, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 6.47/6.83 domain( X ) ) ] )
% 6.47/6.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.47/6.83 ), ==>( 1, 1 )] ) ).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 subsumption(
% 6.47/6.83 clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 6.47/6.83 codomain( Y ) ) ] )
% 6.47/6.83 , clause( 24226, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 6.47/6.83 codomain( Y ) ) ] )
% 6.47/6.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.47/6.83 ), ==>( 1, 1 )] ) ).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 subsumption(
% 6.47/6.83 clause( 7, [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ),
% 6.47/6.83 codomain( Y ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 6.47/6.83 , clause( 24227, [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ),
% 6.47/6.83 codomain( Y ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 6.47/6.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.47/6.83 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 subsumption(
% 6.47/6.83 clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z
% 6.47/6.83 ) ) ] )
% 6.47/6.83 , clause( 24228, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y
% 6.47/6.83 ), Z ) ) ] )
% 6.47/6.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.47/6.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 subsumption(
% 6.47/6.83 clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 6.47/6.83 , clause( 24229, [ =( compose( X, domain( X ) ), X ) ] )
% 6.47/6.83 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 subsumption(
% 6.47/6.83 clause( 16, [ 'there_exists'( compose( a, b ) ) ] )
% 6.47/6.83 , clause( 24237, [ 'there_exists'( compose( a, b ) ) ] )
% 6.47/6.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 subsumption(
% 6.47/6.83 clause( 17, [ 'there_exists'( compose( b, c ) ) ] )
% 6.47/6.83 , clause( 24238, [ 'there_exists'( compose( b, c ) ) ] )
% 6.47/6.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 paramod(
% 6.47/6.83 clause( 24368, [ ~( 'there_exists'( compose( compose( a, b ), c ) ) ) ] )
% 6.47/6.83 , clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ),
% 6.47/6.83 Z ) ) ] )
% 6.47/6.83 , 0, clause( 24239, [ ~( 'there_exists'( compose( a, compose( b, c ) ) ) )
% 6.47/6.83 ] )
% 6.47/6.83 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, c )] ),
% 6.47/6.83 substitution( 1, [] )).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 subsumption(
% 6.47/6.83 clause( 18, [ ~( 'there_exists'( compose( compose( a, b ), c ) ) ) ] )
% 6.47/6.83 , clause( 24368, [ ~( 'there_exists'( compose( compose( a, b ), c ) ) ) ]
% 6.47/6.83 )
% 6.47/6.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 resolution(
% 6.47/6.83 clause( 24369, [ 'there_exists'( domain( b ) ) ] )
% 6.47/6.83 , clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 6.47/6.83 domain( X ) ) ] )
% 6.47/6.83 , 0, clause( 17, [ 'there_exists'( compose( b, c ) ) ] )
% 6.47/6.83 , 0, substitution( 0, [ :=( X, b ), :=( Y, c )] ), substitution( 1, [] )
% 6.47/6.83 ).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 subsumption(
% 6.47/6.83 clause( 81, [ 'there_exists'( domain( b ) ) ] )
% 6.47/6.83 , clause( 24369, [ 'there_exists'( domain( b ) ) ] )
% 6.47/6.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 resolution(
% 6.47/6.83 clause( 24370, [ 'there_exists'( b ) ] )
% 6.47/6.83 , clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ] )
% 6.47/6.83 , 0, clause( 81, [ 'there_exists'( domain( b ) ) ] )
% 6.47/6.83 , 0, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 subsumption(
% 6.47/6.83 clause( 90, [ 'there_exists'( b ) ] )
% 6.47/6.83 , clause( 24370, [ 'there_exists'( b ) ] )
% 6.47/6.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 eqswap(
% 6.47/6.83 clause( 24371, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 6.47/6.83 compose( X, Y ) ) ) ] )
% 6.47/6.83 , clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 6.47/6.83 codomain( Y ) ) ] )
% 6.47/6.83 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 resolution(
% 6.47/6.83 clause( 24372, [ =( codomain( X ), domain( Y ) ), ~( 'there_exists'( domain(
% 6.47/6.83 compose( Y, X ) ) ) ) ] )
% 6.47/6.83 , clause( 24371, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 6.47/6.83 compose( X, Y ) ) ) ] )
% 6.47/6.83 , 1, clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ]
% 6.47/6.83 )
% 6.47/6.83 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ :=( X
% 6.47/6.83 , compose( Y, X ) )] )).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 eqswap(
% 6.47/6.83 clause( 24373, [ =( domain( Y ), codomain( X ) ), ~( 'there_exists'( domain(
% 6.47/6.83 compose( Y, X ) ) ) ) ] )
% 6.47/6.83 , clause( 24372, [ =( codomain( X ), domain( Y ) ), ~( 'there_exists'(
% 6.47/6.83 domain( compose( Y, X ) ) ) ) ] )
% 6.47/6.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 subsumption(
% 6.47/6.83 clause( 99, [ =( domain( X ), codomain( Y ) ), ~( 'there_exists'( domain(
% 6.47/6.83 compose( X, Y ) ) ) ) ] )
% 6.47/6.83 , clause( 24373, [ =( domain( Y ), codomain( X ) ), ~( 'there_exists'(
% 6.47/6.83 domain( compose( Y, X ) ) ) ) ] )
% 6.47/6.83 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 6.47/6.83 ), ==>( 1, 1 )] ) ).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 eqswap(
% 6.47/6.83 clause( 24374, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 6.47/6.83 compose( X, Y ) ) ) ] )
% 6.47/6.83 , clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 6.47/6.83 codomain( Y ) ) ] )
% 6.47/6.83 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 resolution(
% 6.47/6.83 clause( 24375, [ =( codomain( c ), domain( b ) ) ] )
% 6.47/6.83 , clause( 24374, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 6.47/6.83 compose( X, Y ) ) ) ] )
% 6.47/6.83 , 1, clause( 17, [ 'there_exists'( compose( b, c ) ) ] )
% 6.47/6.83 , 0, substitution( 0, [ :=( X, b ), :=( Y, c )] ), substitution( 1, [] )
% 6.47/6.83 ).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 eqswap(
% 6.47/6.83 clause( 24376, [ =( domain( b ), codomain( c ) ) ] )
% 6.47/6.83 , clause( 24375, [ =( codomain( c ), domain( b ) ) ] )
% 6.47/6.83 , 0, substitution( 0, [] )).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 subsumption(
% 6.47/6.83 clause( 104, [ =( domain( b ), codomain( c ) ) ] )
% 6.47/6.83 , clause( 24376, [ =( domain( b ), codomain( c ) ) ] )
% 6.47/6.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 eqswap(
% 6.47/6.83 clause( 24378, [ =( compose( compose( X, Y ), Z ), compose( X, compose( Y,
% 6.47/6.83 Z ) ) ) ] )
% 6.47/6.83 , clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ),
% 6.47/6.83 Z ) ) ] )
% 6.47/6.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 paramod(
% 6.47/6.83 clause( 24381, [ =( compose( compose( X, Y ), domain( Y ) ), compose( X, Y
% 6.47/6.83 ) ) ] )
% 6.47/6.83 , clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 6.47/6.83 , 0, clause( 24378, [ =( compose( compose( X, Y ), Z ), compose( X, compose(
% 6.47/6.83 Y, Z ) ) ) ] )
% 6.47/6.83 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 6.47/6.83 :=( Y, Y ), :=( Z, domain( Y ) )] )).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 subsumption(
% 6.47/6.83 clause( 171, [ =( compose( compose( Y, X ), domain( X ) ), compose( Y, X )
% 6.47/6.83 ) ] )
% 6.47/6.83 , clause( 24381, [ =( compose( compose( X, Y ), domain( Y ) ), compose( X,
% 6.47/6.83 Y ) ) ] )
% 6.47/6.83 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 6.47/6.83 )] ) ).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 eqswap(
% 6.47/6.83 clause( 24386, [ =( X, compose( X, domain( X ) ) ) ] )
% 6.47/6.83 , clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 6.47/6.83 , 0, substitution( 0, [ :=( X, X )] )).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 paramod(
% 6.47/6.83 clause( 24387, [ =( b, compose( b, codomain( c ) ) ) ] )
% 6.47/6.83 , clause( 104, [ =( domain( b ), codomain( c ) ) ] )
% 6.47/6.83 , 0, clause( 24386, [ =( X, compose( X, domain( X ) ) ) ] )
% 6.47/6.83 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, b )] )).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 eqswap(
% 6.47/6.83 clause( 24388, [ =( compose( b, codomain( c ) ), b ) ] )
% 6.47/6.83 , clause( 24387, [ =( b, compose( b, codomain( c ) ) ) ] )
% 6.47/6.83 , 0, substitution( 0, [] )).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 subsumption(
% 6.47/6.83 clause( 172, [ =( compose( b, codomain( c ) ), b ) ] )
% 6.47/6.83 , clause( 24388, [ =( compose( b, codomain( c ) ), b ) ] )
% 6.47/6.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.47/6.83
% 6.47/6.83
% 6.47/6.83 paramod(
% 6.47/6.83 clause( 24390, [ ~( 'there_exists'( X ) ), 'there_exists'( domain( X ) ) ]
% 6.47/6.83 )
% 6.47/6.83 , clause( 9, [ =( compose( X, domain( X ) ), X ) ] )
% 6.47/6.83 , 0, clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'(
% 6.47/6.83 domain( X ) ) ] )
% 6.47/6.83 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 6.47/6.83 :=( Y, domain( X ) )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 176, [ ~( 'there_exists'( X ) ), 'there_exists'( domain( X ) ) ] )
% 6.47/6.84 , clause( 24390, [ ~( 'there_exists'( X ) ), 'there_exists'( domain( X ) )
% 6.47/6.84 ] )
% 6.47/6.84 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 6.47/6.84 1 )] ) ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 24391, [ ~( =( codomain( Y ), domain( X ) ) ), ~( 'there_exists'(
% 6.47/6.84 domain( X ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 6.47/6.84 , clause( 7, [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ),
% 6.47/6.84 codomain( Y ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 6.47/6.84 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 resolution(
% 6.47/6.84 clause( 24392, [ 'there_exists'( domain( compose( X, Y ) ) ), ~( =(
% 6.47/6.84 codomain( Y ), domain( X ) ) ), ~( 'there_exists'( domain( X ) ) ) ] )
% 6.47/6.84 , clause( 176, [ ~( 'there_exists'( X ) ), 'there_exists'( domain( X ) ) ]
% 6.47/6.84 )
% 6.47/6.84 , 0, clause( 24391, [ ~( =( codomain( Y ), domain( X ) ) ), ~(
% 6.47/6.84 'there_exists'( domain( X ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 6.47/6.84 , 2, substitution( 0, [ :=( X, compose( X, Y ) )] ), substitution( 1, [
% 6.47/6.84 :=( X, X ), :=( Y, Y )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 24393, [ ~( =( domain( Y ), codomain( X ) ) ), 'there_exists'(
% 6.47/6.84 domain( compose( Y, X ) ) ), ~( 'there_exists'( domain( Y ) ) ) ] )
% 6.47/6.84 , clause( 24392, [ 'there_exists'( domain( compose( X, Y ) ) ), ~( =(
% 6.47/6.84 codomain( Y ), domain( X ) ) ), ~( 'there_exists'( domain( X ) ) ) ] )
% 6.47/6.84 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 182, [ 'there_exists'( domain( compose( X, Y ) ) ), ~(
% 6.47/6.84 'there_exists'( domain( X ) ) ), ~( =( domain( X ), codomain( Y ) ) ) ]
% 6.47/6.84 )
% 6.47/6.84 , clause( 24393, [ ~( =( domain( Y ), codomain( X ) ) ), 'there_exists'(
% 6.47/6.84 domain( compose( Y, X ) ) ), ~( 'there_exists'( domain( Y ) ) ) ] )
% 6.47/6.84 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 2
% 6.47/6.84 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 resolution(
% 6.47/6.84 clause( 24394, [ 'there_exists'( domain( compose( a, b ) ) ) ] )
% 6.47/6.84 , clause( 176, [ ~( 'there_exists'( X ) ), 'there_exists'( domain( X ) ) ]
% 6.47/6.84 )
% 6.47/6.84 , 0, clause( 16, [ 'there_exists'( compose( a, b ) ) ] )
% 6.47/6.84 , 0, substitution( 0, [ :=( X, compose( a, b ) )] ), substitution( 1, [] )
% 6.47/6.84 ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 193, [ 'there_exists'( domain( compose( a, b ) ) ) ] )
% 6.47/6.84 , clause( 24394, [ 'there_exists'( domain( compose( a, b ) ) ) ] )
% 6.47/6.84 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 resolution(
% 6.47/6.84 clause( 24395, [ ~( 'there_exists'( domain( compose( compose( a, b ), c ) )
% 6.47/6.84 ) ) ] )
% 6.47/6.84 , clause( 18, [ ~( 'there_exists'( compose( compose( a, b ), c ) ) ) ] )
% 6.47/6.84 , 0, clause( 3, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ]
% 6.47/6.84 )
% 6.47/6.84 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, compose( compose( a,
% 6.47/6.84 b ), c ) )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 subsumption(
% 6.47/6.84 clause( 1118, [ ~( 'there_exists'( domain( compose( compose( a, b ), c ) )
% 6.47/6.84 ) ) ] )
% 6.47/6.84 , clause( 24395, [ ~( 'there_exists'( domain( compose( compose( a, b ), c )
% 6.47/6.84 ) ) ) ] )
% 6.47/6.84 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 eqswap(
% 6.47/6.84 clause( 24397, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 6.47/6.84 compose( X, Y ) ) ) ] )
% 6.47/6.84 , clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ),
% 6.47/6.84 codomain( Y ) ) ] )
% 6.47/6.84 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 24400, [ ~( 'there_exists'( b ) ), =( codomain( codomain( c ) ),
% 6.47/6.84 domain( b ) ) ] )
% 6.47/6.84 , clause( 172, [ =( compose( b, codomain( c ) ), b ) ] )
% 6.47/6.84 , 0, clause( 24397, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'(
% 6.47/6.84 compose( X, Y ) ) ) ] )
% 6.47/6.84 , 1, 2, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y,
% 6.47/6.84 codomain( c ) )] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 paramod(
% 6.47/6.84 clause( 24401, [ =( codomain( codomain( c ) ), codomain( c ) ), ~(
% 6.47/6.84 'there_exists'( b ) ) ] )
% 6.47/6.84 , clause( 104, [ =( domain( b ), codomain( c ) ) ] )
% 6.47/6.84 , 0, clause( 24400, [ ~( 'there_exists'( b ) ), =( codomain( codomain( c )
% 6.47/6.84 ), domain( b ) ) ] )
% 6.47/6.84 , 1, 4, substitution( 0, [] ), substitution( 1, [] )).
% 6.47/6.84
% 6.47/6.84
% 6.47/6.84 resolution(
% 6.47/6.84 clause( 24402, [ =( codomain( codomain( c ) ), codomain( c ) ) ] )
% 6.47/6.84 , clause( 24401, [ =( codomain( codomain( c ) ), codomain( c ) ), ~(
% 6.47/6.84 'there_exists'( b ) ) ] )
% 6.47/6.84 , 1, clause( 90, [ 'there_exists'( b ) ] )
% 6.47/6.84 , 0, substitution( 0Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------