%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : CAT004-2 : 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 23:54:09 EDT 2022
% Result : Unsatisfiable 92.24s 92.67s
% Output : Refutation 92.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CAT004-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun May 29 15:29:40 EDT 2022
% 0.19/0.33 % CPUTime :
% 92.24/92.67 *** allocated 10000 integers for termspace/termends
% 92.24/92.67 *** allocated 10000 integers for clauses
% 92.24/92.67 *** allocated 10000 integers for justifications
% 92.24/92.67 Bliksem 1.12
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 Automatic Strategy Selection
% 92.24/92.67
% 92.24/92.67 Clauses:
% 92.24/92.67 [
% 92.24/92.67 [ =( codomain( domain( X ) ), domain( X ) ) ],
% 92.24/92.67 [ =( domain( codomain( X ) ), codomain( X ) ) ],
% 92.24/92.67 [ =( compose( domain( X ), X ), X ) ],
% 92.24/92.67 [ =( compose( X, codomain( X ) ), X ) ],
% 92.24/92.67 [ ~( =( codomain( X ), domain( Y ) ) ), =( domain( compose( X, Y ) ),
% 92.24/92.67 domain( X ) ) ],
% 92.24/92.67 [ ~( =( codomain( X ), domain( Y ) ) ), =( codomain( compose( X, Y ) ),
% 92.24/92.67 codomain( Y ) ) ],
% 92.24/92.67 [ ~( =( codomain( X ), domain( Y ) ) ), ~( =( codomain( Y ), domain( Z )
% 92.24/92.67 ) ), =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z ) ) ]
% 92.24/92.67 ,
% 92.24/92.67 [ ~( =( codomain( a ), domain( X ) ) ), ~( =( compose( a, X ), Y ) ),
% 92.24/92.67 ~( =( codomain( a ), domain( Z ) ) ), ~( =( compose( a, Z ), Y ) ), =( X
% 92.24/92.67 , Z ) ],
% 92.24/92.67 [ ~( =( codomain( b ), domain( X ) ) ), ~( =( compose( b, X ), Y ) ),
% 92.24/92.67 ~( =( codomain( b ), domain( Z ) ) ), ~( =( compose( b, Z ), Y ) ), =( X
% 92.24/92.67 , Z ) ],
% 92.24/92.67 [ =( codomain( a ), domain( b ) ) ],
% 92.24/92.67 [ =( codomain( compose( a, b ) ), domain( h ) ) ],
% 92.24/92.67 [ =( codomain( compose( a, b ) ), domain( g ) ) ],
% 92.24/92.67 [ =( compose( compose( a, b ), h ), compose( compose( a, b ), g ) ) ]
% 92.24/92.67 ,
% 92.24/92.67 [ ~( =( h, g ) ) ]
% 92.24/92.67 ] .
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 percentage equality = 1.000000, percentage horn = 1.000000
% 92.24/92.67 This is a pure equality problem
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 Options Used:
% 92.24/92.67
% 92.24/92.67 useres = 1
% 92.24/92.67 useparamod = 1
% 92.24/92.67 useeqrefl = 1
% 92.24/92.67 useeqfact = 1
% 92.24/92.67 usefactor = 1
% 92.24/92.67 usesimpsplitting = 0
% 92.24/92.67 usesimpdemod = 5
% 92.24/92.67 usesimpres = 3
% 92.24/92.67
% 92.24/92.67 resimpinuse = 1000
% 92.24/92.67 resimpclauses = 20000
% 92.24/92.67 substype = eqrewr
% 92.24/92.67 backwardsubs = 1
% 92.24/92.67 selectoldest = 5
% 92.24/92.67
% 92.24/92.67 litorderings [0] = split
% 92.24/92.67 litorderings [1] = extend the termordering, first sorting on arguments
% 92.24/92.67
% 92.24/92.67 termordering = kbo
% 92.24/92.67
% 92.24/92.67 litapriori = 0
% 92.24/92.67 termapriori = 1
% 92.24/92.67 litaposteriori = 0
% 92.24/92.67 termaposteriori = 0
% 92.24/92.67 demodaposteriori = 0
% 92.24/92.67 ordereqreflfact = 0
% 92.24/92.67
% 92.24/92.67 litselect = negord
% 92.24/92.67
% 92.24/92.67 maxweight = 15
% 92.24/92.67 maxdepth = 30000
% 92.24/92.67 maxlength = 115
% 92.24/92.67 maxnrvars = 195
% 92.24/92.67 excuselevel = 1
% 92.24/92.67 increasemaxweight = 1
% 92.24/92.67
% 92.24/92.67 maxselected = 10000000
% 92.24/92.67 maxnrclauses = 10000000
% 92.24/92.67
% 92.24/92.67 showgenerated = 0
% 92.24/92.67 showkept = 0
% 92.24/92.67 showselected = 0
% 92.24/92.67 showdeleted = 0
% 92.24/92.67 showresimp = 1
% 92.24/92.67 showstatus = 2000
% 92.24/92.67
% 92.24/92.67 prologoutput = 1
% 92.24/92.67 nrgoals = 5000000
% 92.24/92.67 totalproof = 1
% 92.24/92.67
% 92.24/92.67 Symbols occurring in the translation:
% 92.24/92.67
% 92.24/92.67 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 92.24/92.67 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 92.24/92.67 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 92.24/92.67 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 92.24/92.67 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 92.24/92.67 domain [40, 1] (w:1, o:22, a:1, s:1, b:0),
% 92.24/92.67 codomain [41, 1] (w:1, o:21, a:1, s:1, b:0),
% 92.24/92.67 compose [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 92.24/92.67 a [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 92.24/92.67 b [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 92.24/92.67 h [47, 0] (w:1, o:15, a:1, s:1, b:0),
% 92.24/92.67 g [48, 0] (w:1, o:14, a:1, s:1, b:0).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 Starting Search:
% 92.24/92.67
% 92.24/92.67 Resimplifying inuse:
% 92.24/92.67 Done
% 92.24/92.67
% 92.24/92.67 Resimplifying inuse:
% 92.24/92.67 Done
% 92.24/92.67
% 92.24/92.67 Failed to find proof!
% 92.24/92.67 maxweight = 15
% 92.24/92.67 maxnrclauses = 10000000
% 92.24/92.67 Generated: 316919
% 92.24/92.67 Kept: 651
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 The strategy used was not complete!
% 92.24/92.67
% 92.24/92.67 Increased maxweight to 16
% 92.24/92.67
% 92.24/92.67 Starting Search:
% 92.24/92.67
% 92.24/92.67 Resimplifying inuse:
% 92.24/92.67 Done
% 92.24/92.67
% 92.24/92.67 Resimplifying inuse:
% 92.24/92.67 Done
% 92.24/92.67
% 92.24/92.67 Failed to find proof!
% 92.24/92.67 maxweight = 16
% 92.24/92.67 maxnrclauses = 10000000
% 92.24/92.67 Generated: 387939
% 92.24/92.67 Kept: 839
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 The strategy used was not complete!
% 92.24/92.67
% 92.24/92.67 Increased maxweight to 17
% 92.24/92.67
% 92.24/92.67 Starting Search:
% 92.24/92.67
% 92.24/92.67 Resimplifying inuse:
% 92.24/92.67 Done
% 92.24/92.67
% 92.24/92.67 Resimplifying inuse:
% 92.24/92.67 Done
% 92.24/92.67
% 92.24/92.67 Failed to find proof!
% 92.24/92.67 maxweight = 17
% 92.24/92.67 maxnrclauses = 10000000
% 92.24/92.67 Generated: 689757
% 92.24/92.67 Kept: 1298
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 The strategy used was not complete!
% 92.24/92.67
% 92.24/92.67 Increased maxweight to 18
% 92.24/92.67
% 92.24/92.67 Starting Search:
% 92.24/92.67
% 92.24/92.67 Resimplifying inuse:
% 92.24/92.67 Done
% 92.24/92.67
% 92.24/92.67 Resimplifying inuse:
% 92.24/92.67 Done
% 92.24/92.67
% 92.24/92.67 Failed to find proof!
% 92.24/92.67 maxweight = 18
% 92.24/92.67 maxnrclauses = 10000000
% 92.24/92.67 Generated: 1218292
% 92.24/92.67 Kept: 1871
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 The strategy used was not complete!
% 92.24/92.67
% 92.24/92.67 Increased maxweight to 19
% 92.24/92.67
% 92.24/92.67 Starting Search:
% 92.24/92.67
% 92.24/92.67 Resimplifying inuse:
% 92.24/92.67 Done
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 Bliksems!, er is een bewijs:
% 92.24/92.67 % SZS status Unsatisfiable
% 92.24/92.67 % SZS output start Refutation
% 92.24/92.67
% 92.24/92.67 clause( 2, [ =( compose( domain( X ), X ), X ) ] )
% 92.24/92.67 .
% 92.24/92.67 clause( 4, [ ~( =( codomain( X ), domain( Y ) ) ), =( domain( compose( X, Y
% 92.24/92.67 ) ), domain( X ) ) ] )
% 92.24/92.67 .
% 92.24/92.67 clause( 5, [ ~( =( codomain( X ), domain( Y ) ) ), =( codomain( compose( X
% 92.24/92.67 , Y ) ), codomain( Y ) ) ] )
% 92.24/92.67 .
% 92.24/92.67 clause( 6, [ ~( =( codomain( X ), domain( Y ) ) ), ~( =( codomain( Y ),
% 92.24/92.67 domain( Z ) ) ), =( compose( X, compose( Y, Z ) ), compose( compose( X, Y
% 92.24/92.67 ), Z ) ) ] )
% 92.24/92.67 .
% 92.24/92.67 clause( 7, [ ~( =( codomain( a ), domain( X ) ) ), ~( =( compose( a, X ), Y
% 92.24/92.67 ) ), ~( =( codomain( a ), domain( Z ) ) ), ~( =( compose( a, Z ), Y ) )
% 92.24/92.67 , =( X, Z ) ] )
% 92.24/92.67 .
% 92.24/92.67 clause( 8, [ ~( =( codomain( b ), domain( X ) ) ), ~( =( compose( b, X ), Y
% 92.24/92.67 ) ), ~( =( codomain( b ), domain( Z ) ) ), ~( =( compose( b, Z ), Y ) )
% 92.24/92.67 , =( X, Z ) ] )
% 92.24/92.67 .
% 92.24/92.67 clause( 9, [ =( domain( b ), codomain( a ) ) ] )
% 92.24/92.67 .
% 92.24/92.67 clause( 10, [ =( codomain( compose( a, b ) ), domain( h ) ) ] )
% 92.24/92.67 .
% 92.24/92.67 clause( 11, [ =( domain( h ), domain( g ) ) ] )
% 92.24/92.67 .
% 92.24/92.67 clause( 12, [ =( compose( compose( a, b ), h ), compose( compose( a, b ), g
% 92.24/92.67 ) ) ] )
% 92.24/92.67 .
% 92.24/92.67 clause( 13, [ ~( =( h, g ) ) ] )
% 92.24/92.67 .
% 92.24/92.67 clause( 15, [ ~( =( codomain( a ), domain( X ) ) ), ~( =( codomain( a ),
% 92.24/92.67 domain( Y ) ) ), ~( =( compose( a, Y ), compose( a, X ) ) ), =( X, Y ) ]
% 92.24/92.67 )
% 92.24/92.67 .
% 92.24/92.67 clause( 18, [ =( compose( domain( g ), h ), h ) ] )
% 92.24/92.67 .
% 92.24/92.67 clause( 31, [ ~( =( codomain( X ), domain( g ) ) ), =( domain( compose( X,
% 92.24/92.67 h ) ), domain( X ) ) ] )
% 92.24/92.67 .
% 92.24/92.67 clause( 36, [ =( codomain( compose( a, b ) ), domain( g ) ) ] )
% 92.24/92.67 .
% 92.24/92.67 clause( 44, [ ~( =( codomain( X ), codomain( a ) ) ), =( codomain( compose(
% 92.24/92.67 X, b ) ), codomain( b ) ) ] )
% 92.24/92.67 .
% 92.24/92.67 clause( 46, [ =( domain( g ), codomain( b ) ) ] )
% 92.24/92.67 .
% 92.24/92.67 clause( 49, [ =( compose( codomain( b ), h ), h ) ] )
% 92.24/92.67 .
% 92.24/92.67 clause( 65, [ ~( =( codomain( X ), codomain( a ) ) ), ~( =( codomain( b ),
% 92.24/92.67 domain( Y ) ) ), =( compose( X, compose( b, Y ) ), compose( compose( X, b
% 92.24/92.67 ), Y ) ) ] )
% 92.24/92.67 .
% 92.24/92.67 clause( 135, [ =( X, h ), ~( =( codomain( b ), domain( X ) ) ), ~( =(
% 92.24/92.67 compose( b, X ), Y ) ), ~( =( compose( b, h ), Y ) ) ] )
% 92.24/92.67 .
% 92.24/92.67 clause( 158, [ =( X, h ), ~( =( codomain( b ), domain( X ) ) ), ~( =(
% 92.24/92.67 compose( b, h ), compose( b, X ) ) ) ] )
% 92.24/92.67 .
% 92.24/92.67 clause( 323, [ =( domain( compose( X, h ) ), domain( X ) ), ~( =( codomain(
% 92.24/92.67 X ), codomain( b ) ) ) ] )
% 92.24/92.67 .
% 92.24/92.67 clause( 324, [ =( domain( compose( b, h ) ), codomain( a ) ) ] )
% 92.24/92.67 .
% 92.24/92.67 clause( 1018, [ =( domain( h ), codomain( b ) ) ] )
% 92.24/92.67 .
% 92.24/92.67 clause( 1080, [ ~( =( codomain( X ), codomain( a ) ) ), =( compose( X,
% 92.24/92.67 compose( b, h ) ), compose( compose( X, b ), h ) ) ] )
% 92.24/92.67 .
% 92.24/92.67 clause( 1659, [ =( X, h ), ~( =( codomain( b ), domain( X ) ) ), ~( =(
% 92.24/92.67 compose( compose( a, b ), X ), compose( compose( a, b ), g ) ) ) ] )
% 92.24/92.67 .
% 92.24/92.67 clause( 1713, [ =( h, g ) ] )
% 92.24/92.67 .
% 92.24/92.67 clause( 1714, [] )
% 92.24/92.67 .
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 % SZS output end Refutation
% 92.24/92.67 found a proof!
% 92.24/92.67
% 92.24/92.67 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 92.24/92.67
% 92.24/92.67 initialclauses(
% 92.24/92.67 [ clause( 1716, [ =( codomain( domain( X ) ), domain( X ) ) ] )
% 92.24/92.67 , clause( 1717, [ =( domain( codomain( X ) ), codomain( X ) ) ] )
% 92.24/92.67 , clause( 1718, [ =( compose( domain( X ), X ), X ) ] )
% 92.24/92.67 , clause( 1719, [ =( compose( X, codomain( X ) ), X ) ] )
% 92.24/92.67 , clause( 1720, [ ~( =( codomain( X ), domain( Y ) ) ), =( domain( compose(
% 92.24/92.67 X, Y ) ), domain( X ) ) ] )
% 92.24/92.67 , clause( 1721, [ ~( =( codomain( X ), domain( Y ) ) ), =( codomain(
% 92.24/92.67 compose( X, Y ) ), codomain( Y ) ) ] )
% 92.24/92.67 , clause( 1722, [ ~( =( codomain( X ), domain( Y ) ) ), ~( =( codomain( Y )
% 92.24/92.67 , domain( Z ) ) ), =( compose( X, compose( Y, Z ) ), compose( compose( X
% 92.24/92.67 , Y ), Z ) ) ] )
% 92.24/92.67 , clause( 1723, [ ~( =( codomain( a ), domain( X ) ) ), ~( =( compose( a, X
% 92.24/92.67 ), Y ) ), ~( =( codomain( a ), domain( Z ) ) ), ~( =( compose( a, Z ), Y
% 92.24/92.67 ) ), =( X, Z ) ] )
% 92.24/92.67 , clause( 1724, [ ~( =( codomain( b ), domain( X ) ) ), ~( =( compose( b, X
% 92.24/92.67 ), Y ) ), ~( =( codomain( b ), domain( Z ) ) ), ~( =( compose( b, Z ), Y
% 92.24/92.67 ) ), =( X, Z ) ] )
% 92.24/92.67 , clause( 1725, [ =( codomain( a ), domain( b ) ) ] )
% 92.24/92.67 , clause( 1726, [ =( codomain( compose( a, b ) ), domain( h ) ) ] )
% 92.24/92.67 , clause( 1727, [ =( codomain( compose( a, b ) ), domain( g ) ) ] )
% 92.24/92.67 , clause( 1728, [ =( compose( compose( a, b ), h ), compose( compose( a, b
% 92.24/92.67 ), g ) ) ] )
% 92.24/92.67 , clause( 1729, [ ~( =( h, g ) ) ] )
% 92.24/92.67 ] ).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 subsumption(
% 92.24/92.67 clause( 2, [ =( compose( domain( X ), X ), X ) ] )
% 92.24/92.67 , clause( 1718, [ =( compose( domain( X ), X ), X ) ] )
% 92.24/92.67 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 subsumption(
% 92.24/92.67 clause( 4, [ ~( =( codomain( X ), domain( Y ) ) ), =( domain( compose( X, Y
% 92.24/92.67 ) ), domain( X ) ) ] )
% 92.24/92.67 , clause( 1720, [ ~( =( codomain( X ), domain( Y ) ) ), =( domain( compose(
% 92.24/92.67 X, Y ) ), domain( X ) ) ] )
% 92.24/92.67 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 92.24/92.67 ), ==>( 1, 1 )] ) ).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 subsumption(
% 92.24/92.67 clause( 5, [ ~( =( codomain( X ), domain( Y ) ) ), =( codomain( compose( X
% 92.24/92.67 , Y ) ), codomain( Y ) ) ] )
% 92.24/92.67 , clause( 1721, [ ~( =( codomain( X ), domain( Y ) ) ), =( codomain(
% 92.24/92.67 compose( X, Y ) ), codomain( Y ) ) ] )
% 92.24/92.67 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 92.24/92.67 ), ==>( 1, 1 )] ) ).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 subsumption(
% 92.24/92.67 clause( 6, [ ~( =( codomain( X ), domain( Y ) ) ), ~( =( codomain( Y ),
% 92.24/92.67 domain( Z ) ) ), =( compose( X, compose( Y, Z ) ), compose( compose( X, Y
% 92.24/92.67 ), Z ) ) ] )
% 92.24/92.67 , clause( 1722, [ ~( =( codomain( X ), domain( Y ) ) ), ~( =( codomain( Y )
% 92.24/92.67 , domain( Z ) ) ), =( compose( X, compose( Y, Z ) ), compose( compose( X
% 92.24/92.67 , Y ), Z ) ) ] )
% 92.24/92.67 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 92.24/92.67 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 subsumption(
% 92.24/92.67 clause( 7, [ ~( =( codomain( a ), domain( X ) ) ), ~( =( compose( a, X ), Y
% 92.24/92.67 ) ), ~( =( codomain( a ), domain( Z ) ) ), ~( =( compose( a, Z ), Y ) )
% 92.24/92.67 , =( X, Z ) ] )
% 92.24/92.67 , clause( 1723, [ ~( =( codomain( a ), domain( X ) ) ), ~( =( compose( a, X
% 92.24/92.67 ), Y ) ), ~( =( codomain( a ), domain( Z ) ) ), ~( =( compose( a, Z ), Y
% 92.24/92.67 ) ), =( X, Z ) ] )
% 92.24/92.67 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 92.24/92.67 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 92.24/92.67 ==>( 4, 4 )] ) ).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 subsumption(
% 92.24/92.67 clause( 8, [ ~( =( codomain( b ), domain( X ) ) ), ~( =( compose( b, X ), Y
% 92.24/92.67 ) ), ~( =( codomain( b ), domain( Z ) ) ), ~( =( compose( b, Z ), Y ) )
% 92.24/92.67 , =( X, Z ) ] )
% 92.24/92.67 , clause( 1724, [ ~( =( codomain( b ), domain( X ) ) ), ~( =( compose( b, X
% 92.24/92.67 ), Y ) ), ~( =( codomain( b ), domain( Z ) ) ), ~( =( compose( b, Z ), Y
% 92.24/92.67 ) ), =( X, Z ) ] )
% 92.24/92.67 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 92.24/92.67 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 92.24/92.67 ==>( 4, 4 )] ) ).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 eqswap(
% 92.24/92.67 clause( 1954, [ =( domain( b ), codomain( a ) ) ] )
% 92.24/92.67 , clause( 1725, [ =( codomain( a ), domain( b ) ) ] )
% 92.24/92.67 , 0, substitution( 0, [] )).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 subsumption(
% 92.24/92.67 clause( 9, [ =( domain( b ), codomain( a ) ) ] )
% 92.24/92.67 , clause( 1954, [ =( domain( b ), codomain( a ) ) ] )
% 92.24/92.67 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 subsumption(
% 92.24/92.67 clause( 10, [ =( codomain( compose( a, b ) ), domain( h ) ) ] )
% 92.24/92.67 , clause( 1726, [ =( codomain( compose( a, b ) ), domain( h ) ) ] )
% 92.24/92.67 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 paramod(
% 92.24/92.67 clause( 2122, [ =( domain( h ), domain( g ) ) ] )
% 92.24/92.67 , clause( 10, [ =( codomain( compose( a, b ) ), domain( h ) ) ] )
% 92.24/92.67 , 0, clause( 1727, [ =( codomain( compose( a, b ) ), domain( g ) ) ] )
% 92.24/92.67 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 subsumption(
% 92.24/92.67 clause( 11, [ =( domain( h ), domain( g ) ) ] )
% 92.24/92.67 , clause( 2122, [ =( domain( h ), domain( g ) ) ] )
% 92.24/92.67 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 subsumption(
% 92.24/92.67 clause( 12, [ =( compose( compose( a, b ), h ), compose( compose( a, b ), g
% 92.24/92.67 ) ) ] )
% 92.24/92.67 , clause( 1728, [ =( compose( compose( a, b ), h ), compose( compose( a, b
% 92.24/92.67 ), g ) ) ] )
% 92.24/92.67 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 subsumption(
% 92.24/92.67 clause( 13, [ ~( =( h, g ) ) ] )
% 92.24/92.67 , clause( 1729, [ ~( =( h, g ) ) ] )
% 92.24/92.67 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 eqswap(
% 92.24/92.67 clause( 2271, [ ~( =( domain( X ), codomain( a ) ) ), ~( =( compose( a, X )
% 92.24/92.67 , Y ) ), ~( =( codomain( a ), domain( Z ) ) ), ~( =( compose( a, Z ), Y )
% 92.24/92.67 ), =( X, Z ) ] )
% 92.24/92.67 , clause( 7, [ ~( =( codomain( a ), domain( X ) ) ), ~( =( compose( a, X )
% 92.24/92.67 , Y ) ), ~( =( codomain( a ), domain( Z ) ) ), ~( =( compose( a, Z ), Y )
% 92.24/92.67 ), =( X, Z ) ] )
% 92.24/92.67 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 eqrefl(
% 92.24/92.67 clause( 2287, [ ~( =( domain( X ), codomain( a ) ) ), ~( =( compose( a, X )
% 92.24/92.67 , compose( a, Y ) ) ), ~( =( codomain( a ), domain( Y ) ) ), =( X, Y ) ]
% 92.24/92.67 )
% 92.24/92.67 , clause( 2271, [ ~( =( domain( X ), codomain( a ) ) ), ~( =( compose( a, X
% 92.24/92.67 ), Y ) ), ~( =( codomain( a ), domain( Z ) ) ), ~( =( compose( a, Z ), Y
% 92.24/92.67 ) ), =( X, Z ) ] )
% 92.24/92.67 , 3, substitution( 0, [ :=( X, X ), :=( Y, compose( a, Y ) ), :=( Z, Y )] )
% 92.24/92.67 ).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 eqswap(
% 92.24/92.67 clause( 2290, [ =( Y, X ), ~( =( domain( X ), codomain( a ) ) ), ~( =(
% 92.24/92.67 compose( a, X ), compose( a, Y ) ) ), ~( =( codomain( a ), domain( Y ) )
% 92.24/92.67 ) ] )
% 92.24/92.67 , clause( 2287, [ ~( =( domain( X ), codomain( a ) ) ), ~( =( compose( a, X
% 92.24/92.67 ), compose( a, Y ) ) ), ~( =( codomain( a ), domain( Y ) ) ), =( X, Y )
% 92.24/92.67 ] )
% 92.24/92.67 , 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 eqswap(
% 92.24/92.67 clause( 2291, [ ~( =( codomain( a ), domain( X ) ) ), =( Y, X ), ~( =(
% 92.24/92.67 compose( a, X ), compose( a, Y ) ) ), ~( =( codomain( a ), domain( Y ) )
% 92.24/92.67 ) ] )
% 92.24/92.67 , clause( 2290, [ =( Y, X ), ~( =( domain( X ), codomain( a ) ) ), ~( =(
% 92.24/92.67 compose( a, X ), compose( a, Y ) ) ), ~( =( codomain( a ), domain( Y ) )
% 92.24/92.67 ) ] )
% 92.24/92.67 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 subsumption(
% 92.24/92.67 clause( 15, [ ~( =( codomain( a ), domain( X ) ) ), ~( =( codomain( a ),
% 92.24/92.67 domain( Y ) ) ), ~( =( compose( a, Y ), compose( a, X ) ) ), =( X, Y ) ]
% 92.24/92.67 )
% 92.24/92.67 , clause( 2291, [ ~( =( codomain( a ), domain( X ) ) ), =( Y, X ), ~( =(
% 92.24/92.67 compose( a, X ), compose( a, Y ) ) ), ~( =( codomain( a ), domain( Y ) )
% 92.24/92.67 ) ] )
% 92.24/92.67 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 92.24/92.67 ), ==>( 1, 3 ), ==>( 2, 2 ), ==>( 3, 0 )] ) ).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 eqswap(
% 92.24/92.67 clause( 2297, [ =( X, compose( domain( X ), X ) ) ] )
% 92.24/92.67 , clause( 2, [ =( compose( domain( X ), X ), X ) ] )
% 92.24/92.67 , 0, substitution( 0, [ :=( X, X )] )).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 paramod(
% 92.24/92.67 clause( 2298, [ =( h, compose( domain( g ), h ) ) ] )
% 92.24/92.67 , clause( 11, [ =( domain( h ), domain( g ) ) ] )
% 92.24/92.67 , 0, clause( 2297, [ =( X, compose( domain( X ), X ) ) ] )
% 92.24/92.67 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, h )] )).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 eqswap(
% 92.24/92.67 clause( 2299, [ =( compose( domain( g ), h ), h ) ] )
% 92.24/92.67 , clause( 2298, [ =( h, compose( domain( g ), h ) ) ] )
% 92.24/92.67 , 0, substitution( 0, [] )).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 subsumption(
% 92.24/92.67 clause( 18, [ =( compose( domain( g ), h ), h ) ] )
% 92.24/92.67 , clause( 2299, [ =( compose( domain( g ), h ), h ) ] )
% 92.24/92.67 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 eqswap(
% 92.24/92.67 clause( 2301, [ ~( =( domain( Y ), codomain( X ) ) ), =( domain( compose( X
% 92.24/92.67 , Y ) ), domain( X ) ) ] )
% 92.24/92.67 , clause( 4, [ ~( =( codomain( X ), domain( Y ) ) ), =( domain( compose( X
% 92.24/92.67 , Y ) ), domain( X ) ) ] )
% 92.24/92.67 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 paramod(
% 92.24/92.67 clause( 2304, [ ~( =( domain( g ), codomain( X ) ) ), =( domain( compose( X
% 92.24/92.67 , h ) ), domain( X ) ) ] )
% 92.24/92.67 , clause( 11, [ =( domain( h ), domain( g ) ) ] )
% 92.24/92.67 , 0, clause( 2301, [ ~( =( domain( Y ), codomain( X ) ) ), =( domain(
% 92.24/92.67 compose( X, Y ) ), domain( X ) ) ] )
% 92.24/92.67 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, h )] )
% 92.24/92.67 ).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 eqswap(
% 92.24/92.67 clause( 2306, [ ~( =( codomain( X ), domain( g ) ) ), =( domain( compose( X
% 92.24/92.67 , h ) ), domain( X ) ) ] )
% 92.24/92.67 , clause( 2304, [ ~( =( domain( g ), codomain( X ) ) ), =( domain( compose(
% 92.24/92.67 X, h ) ), domain( X ) ) ] )
% 92.24/92.67 , 0, substitution( 0, [ :=( X, X )] )).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 subsumption(
% 92.24/92.67 clause( 31, [ ~( =( codomain( X ), domain( g ) ) ), =( domain( compose( X,
% 92.24/92.67 h ) ), domain( X ) ) ] )
% 92.24/92.67 , clause( 2306, [ ~( =( codomain( X ), domain( g ) ) ), =( domain( compose(
% 92.24/92.67 X, h ) ), domain( X ) ) ] )
% 92.24/92.67 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 92.24/92.67 1 )] ) ).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 paramod(
% 92.24/92.67 clause( 2314, [ =( codomain( compose( a, b ) ), domain( g ) ) ] )
% 92.24/92.67 , clause( 11, [ =( domain( h ), domain( g ) ) ] )
% 92.24/92.67 , 0, clause( 10, [ =( codomain( compose( a, b ) ), domain( h ) ) ] )
% 92.24/92.67 , 0, 5, substitution( 0, [] ), substitution( 1, [] )).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 subsumption(
% 92.24/92.67 clause( 36, [ =( codomain( compose( a, b ) ), domain( g ) ) ] )
% 92.24/92.67 , clause( 2314, [ =( codomain( compose( a, b ) ), domain( g ) ) ] )
% 92.24/92.67 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 eqswap(
% 92.24/92.67 clause( 2317, [ ~( =( domain( Y ), codomain( X ) ) ), =( codomain( compose(
% 92.24/92.67 X, Y ) ), codomain( Y ) ) ] )
% 92.24/92.67 , clause( 5, [ ~( =( codomain( X ), domain( Y ) ) ), =( codomain( compose(
% 92.24/92.67 X, Y ) ), codomain( Y ) ) ] )
% 92.24/92.67 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 paramod(
% 92.24/92.67 clause( 2320, [ ~( =( codomain( a ), codomain( X ) ) ), =( codomain(
% 92.24/92.67 compose( X, b ) ), codomain( b ) ) ] )
% 92.24/92.67 , clause( 9, [ =( domain( b ), codomain( a ) ) ] )
% 92.24/92.67 , 0, clause( 2317, [ ~( =( domain( Y ), codomain( X ) ) ), =( codomain(
% 92.24/92.67 compose( X, Y ) ), codomain( Y ) ) ] )
% 92.24/92.67 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, b )] )
% 92.24/92.67 ).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 eqswap(
% 92.24/92.67 clause( 2321, [ ~( =( codomain( X ), codomain( a ) ) ), =( codomain(
% 92.24/92.67 compose( X, b ) ), codomain( b ) ) ] )
% 92.24/92.67 , clause( 2320, [ ~( =( codomain( a ), codomain( X ) ) ), =( codomain(
% 92.24/92.67 compose( X, b ) ), codomain( b ) ) ] )
% 92.24/92.67 , 0, substitution( 0, [ :=( X, X )] )).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 subsumption(
% 92.24/92.67 clause( 44, [ ~( =( codomain( X ), codomain( a ) ) ), =( codomain( compose(
% 92.24/92.67 X, b ) ), codomain( b ) ) ] )
% 92.24/92.67 , clause( 2321, [ ~( =( codomain( X ), codomain( a ) ) ), =( codomain(
% 92.24/92.67 compose( X, b ) ), codomain( b ) ) ] )
% 92.24/92.67 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 92.24/92.67 1 )] ) ).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 eqswap(
% 92.24/92.67 clause( 2324, [ ~( =( codomain( a ), codomain( X ) ) ), =( codomain(
% 92.24/92.67 compose( X, b ) ), codomain( b ) ) ] )
% 92.24/92.67 , clause( 44, [ ~( =( codomain( X ), codomain( a ) ) ), =( codomain(
% 92.24/92.67 compose( X, b ) ), codomain( b ) ) ] )
% 92.24/92.67 , 0, substitution( 0, [ :=( X, X )] )).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 eqrefl(
% 92.24/92.67 clause( 2328, [ =( codomain( compose( a, b ) ), codomain( b ) ) ] )
% 92.24/92.67 , clause( 2324, [ ~( =( codomain( a ), codomain( X ) ) ), =( codomain(
% 92.24/92.67 compose( X, b ) ), codomain( b ) ) ] )
% 92.24/92.67 , 0, substitution( 0, [ :=( X, a )] )).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 paramod(
% 92.24/92.67 clause( 2329, [ =( domain( g ), codomain( b ) ) ] )
% 92.24/92.67 , clause( 36, [ =( codomain( compose( a, b ) ), domain( g ) ) ] )
% 92.24/92.67 , 0, clause( 2328, [ =( codomain( compose( a, b ) ), codomain( b ) ) ] )
% 92.24/92.67 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 subsumption(
% 92.24/92.67 clause( 46, [ =( domain( g ), codomain( b ) ) ] )
% 92.24/92.67 , clause( 2329, [ =( domain( g ), codomain( b ) ) ] )
% 92.24/92.67 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 eqswap(
% 92.24/92.67 clause( 2332, [ =( h, compose( domain( g ), h ) ) ] )
% 92.24/92.67 , clause( 18, [ =( compose( domain( g ), h ), h ) ] )
% 92.24/92.67 , 0, substitution( 0, [] )).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 paramod(
% 92.24/92.67 clause( 2333, [ =( h, compose( codomain( b ), h ) ) ] )
% 92.24/92.67 , clause( 46, [ =( domain( g ), codomain( b ) ) ] )
% 92.24/92.67 , 0, clause( 2332, [ =( h, compose( domain( g ), h ) ) ] )
% 92.24/92.67 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 eqswap(
% 92.24/92.67 clause( 2334, [ =( compose( codomain( b ), h ), h ) ] )
% 92.24/92.67 , clause( 2333, [ =( h, compose( codomain( b ), h ) ) ] )
% 92.24/92.67 , 0, substitution( 0, [] )).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 subsumption(
% 92.24/92.67 clause( 49, [ =( compose( codomain( b ), h ), h ) ] )
% 92.24/92.67 , clause( 2334, [ =( compose( codomain( b ), h ), h ) ] )
% 92.24/92.67 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 eqswap(
% 92.24/92.67 clause( 2336, [ ~( =( domain( Y ), codomain( X ) ) ), ~( =( codomain( Y ),
% 92.24/92.67 domain( Z ) ) ), =( compose( X, compose( Y, Z ) ), compose( compose( X, Y
% 92.24/92.67 ), Z ) ) ] )
% 92.24/92.67 , clause( 6, [ ~( =( codomain( X ), domain( Y ) ) ), ~( =( codomain( Y ),
% 92.24/92.67 domain( Z ) ) ), =( compose( X, compose( Y, Z ) ), compose( compose( X, Y
% 92.24/92.67 ), Z ) ) ] )
% 92.24/92.67 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 paramod(
% 92.24/92.67 clause( 2343, [ ~( =( codomain( a ), codomain( X ) ) ), ~( =( codomain( b )
% 92.24/92.67 , domain( Y ) ) ), =( compose( X, compose( b, Y ) ), compose( compose( X
% 92.24/92.67 , b ), Y ) ) ] )
% 92.24/92.67 , clause( 9, [ =( domain( b ), codomain( a ) ) ] )
% 92.24/92.67 , 0, clause( 2336, [ ~( =( domain( Y ), codomain( X ) ) ), ~( =( codomain(
% 92.24/92.67 Y ), domain( Z ) ) ), =( compose( X, compose( Y, Z ) ), compose( compose(
% 92.24/92.67 X, Y ), Z ) ) ] )
% 92.24/92.67 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, b ),
% 92.24/92.67 :=( Z, Y )] )).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 eqswap(
% 92.24/92.67 clause( 2345, [ ~( =( codomain( X ), codomain( a ) ) ), ~( =( codomain( b )
% 92.24/92.67 , domain( Y ) ) ), =( compose( X, compose( b, Y ) ), compose( compose( X
% 92.24/92.67 , b ), Y ) ) ] )
% 92.24/92.67 , clause( 2343, [ ~( =( codomain( a ), codomain( X ) ) ), ~( =( codomain( b
% 92.24/92.67 ), domain( Y ) ) ), =( compose( X, compose( b, Y ) ), compose( compose(
% 92.24/92.67 X, b ), Y ) ) ] )
% 92.24/92.67 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 92.24/92.67
% 92.24/92.67
% 92.24/92.67 subsumption(
% 92.24/92.67 clause( 65, [ ~( =(Cputime limit exceeded (core dumped)
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