TSTP Solution File: REL031-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : REL031-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 : Mon Jul 18 19:00:50 EDT 2022
% Result : Unsatisfiable 0.71s 1.63s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL031-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n012.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 : Fri Jul 8 09:43:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.71/1.63 *** allocated 10000 integers for termspace/termends
% 0.71/1.63 *** allocated 10000 integers for clauses
% 0.71/1.63 *** allocated 10000 integers for justifications
% 0.71/1.63 Bliksem 1.12
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 Automatic Strategy Selection
% 0.71/1.63
% 0.71/1.63 Clauses:
% 0.71/1.63 [
% 0.71/1.63 [ =( join( X, Y ), join( Y, X ) ) ],
% 0.71/1.63 [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ],
% 0.71/1.63 [ =( X, join( complement( join( complement( X ), complement( Y ) ) ),
% 0.71/1.63 complement( join( complement( X ), Y ) ) ) ) ],
% 0.71/1.63 [ =( meet( X, Y ), complement( join( complement( X ), complement( Y ) )
% 0.71/1.63 ) ) ],
% 0.71/1.63 [ =( composition( X, composition( Y, Z ) ), composition( composition( X
% 0.71/1.63 , Y ), Z ) ) ],
% 0.71/1.63 [ =( composition( X, one ), X ) ],
% 0.71/1.63 [ =( composition( join( X, Y ), Z ), join( composition( X, Z ),
% 0.71/1.63 composition( Y, Z ) ) ) ],
% 0.71/1.63 [ =( converse( converse( X ) ), X ) ],
% 0.71/1.63 [ =( converse( join( X, Y ) ), join( converse( X ), converse( Y ) ) ) ]
% 0.71/1.63 ,
% 0.71/1.63 [ =( converse( composition( X, Y ) ), composition( converse( Y ),
% 0.71/1.63 converse( X ) ) ) ],
% 0.71/1.63 [ =( join( composition( converse( X ), complement( composition( X, Y ) )
% 0.71/1.63 ), complement( Y ) ), complement( Y ) ) ],
% 0.71/1.63 [ =( top, join( X, complement( X ) ) ) ],
% 0.71/1.63 [ =( zero, meet( X, complement( X ) ) ) ],
% 0.71/1.63 [ =( join( composition( converse( sk1 ), sk1 ), one ), one ) ],
% 0.71/1.63 [ =( join( composition( converse( sk2 ), sk2 ), one ), one ) ],
% 0.71/1.63 [ ~( =( join( composition( converse( composition( sk1, sk2 ) ),
% 0.71/1.63 composition( sk1, sk2 ) ), one ), one ) ) ]
% 0.71/1.63 ] .
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 percentage equality = 1.000000, percentage horn = 1.000000
% 0.71/1.63 This is a pure equality problem
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 Options Used:
% 0.71/1.63
% 0.71/1.63 useres = 1
% 0.71/1.63 useparamod = 1
% 0.71/1.63 useeqrefl = 1
% 0.71/1.63 useeqfact = 1
% 0.71/1.63 usefactor = 1
% 0.71/1.63 usesimpsplitting = 0
% 0.71/1.63 usesimpdemod = 5
% 0.71/1.63 usesimpres = 3
% 0.71/1.63
% 0.71/1.63 resimpinuse = 1000
% 0.71/1.63 resimpclauses = 20000
% 0.71/1.63 substype = eqrewr
% 0.71/1.63 backwardsubs = 1
% 0.71/1.63 selectoldest = 5
% 0.71/1.63
% 0.71/1.63 litorderings [0] = split
% 0.71/1.63 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.63
% 0.71/1.63 termordering = kbo
% 0.71/1.63
% 0.71/1.63 litapriori = 0
% 0.71/1.63 termapriori = 1
% 0.71/1.63 litaposteriori = 0
% 0.71/1.63 termaposteriori = 0
% 0.71/1.63 demodaposteriori = 0
% 0.71/1.63 ordereqreflfact = 0
% 0.71/1.63
% 0.71/1.63 litselect = negord
% 0.71/1.63
% 0.71/1.63 maxweight = 15
% 0.71/1.63 maxdepth = 30000
% 0.71/1.63 maxlength = 115
% 0.71/1.63 maxnrvars = 195
% 0.71/1.63 excuselevel = 1
% 0.71/1.63 increasemaxweight = 1
% 0.71/1.63
% 0.71/1.63 maxselected = 10000000
% 0.71/1.63 maxnrclauses = 10000000
% 0.71/1.63
% 0.71/1.63 showgenerated = 0
% 0.71/1.63 showkept = 0
% 0.71/1.63 showselected = 0
% 0.71/1.63 showdeleted = 0
% 0.71/1.63 showresimp = 1
% 0.71/1.63 showstatus = 2000
% 0.71/1.63
% 0.71/1.63 prologoutput = 1
% 0.71/1.63 nrgoals = 5000000
% 0.71/1.63 totalproof = 1
% 0.71/1.63
% 0.71/1.63 Symbols occurring in the translation:
% 0.71/1.63
% 0.71/1.63 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.63 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.71/1.63 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.71/1.63 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.63 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.63 join [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.71/1.63 complement [43, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.71/1.63 meet [44, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.71/1.63 composition [45, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.71/1.63 one [46, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.71/1.63 converse [47, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.71/1.63 top [48, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.71/1.63 zero [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.71/1.63 sk1 [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.71/1.63 sk2 [51, 0] (w:1, o:6, a:1, s:1, b:0).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 Starting Search:
% 0.71/1.63
% 0.71/1.63 Resimplifying inuse:
% 0.71/1.63 Done
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 Intermediate Status:
% 0.71/1.63 Generated: 32814
% 0.71/1.63 Kept: 2026
% 0.71/1.63 Inuse: 315
% 0.71/1.63 Deleted: 199
% 0.71/1.63 Deletedinuse: 69
% 0.71/1.63
% 0.71/1.63 Resimplifying inuse:
% 0.71/1.63 Done
% 0.71/1.63
% 0.71/1.63 Resimplifying inuse:
% 0.71/1.63 Done
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 Intermediate Status:
% 0.71/1.63 Generated: 78490
% 0.71/1.63 Kept: 4127
% 0.71/1.63 Inuse: 451
% 0.71/1.63 Deleted: 317
% 0.71/1.63 Deletedinuse: 88
% 0.71/1.63
% 0.71/1.63 Resimplifying inuse:
% 0.71/1.63 Done
% 0.71/1.63
% 0.71/1.63 Resimplifying inuse:
% 0.71/1.63 Done
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 Intermediate Status:
% 0.71/1.63 Generated: 121373
% 0.71/1.63 Kept: 6138
% 0.71/1.63 Inuse: 590
% 0.71/1.63 Deleted: 351
% 0.71/1.63 Deletedinuse: 89
% 0.71/1.63
% 0.71/1.63 Resimplifying inuse:
% 0.71/1.63 Done
% 0.71/1.63
% 0.71/1.63 Resimplifying inuse:
% 0.71/1.63 Done
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 Intermediate Status:
% 0.71/1.63 Generated: 170732
% 0.71/1.63 Kept: 8162
% 0.71/1.63 Inuse: 732
% 0.71/1.63 Deleted: 387
% 0.71/1.63 Deletedinuse: 89
% 0.71/1.63
% 0.71/1.63 Resimplifying inuse:
% 0.71/1.63
% 0.71/1.63 Bliksems!, er is een bewijs:
% 0.71/1.63 % SZS status Unsatisfiable
% 0.71/1.63 % SZS output start Refutation
% 0.71/1.63
% 0.71/1.63 clause( 1, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 0.71/1.63 .
% 0.71/1.63 clause( 4, [ =( composition( X, composition( Y, Z ) ), composition(
% 0.71/1.63 composition( X, Y ), Z ) ) ] )
% 0.71/1.63 .
% 0.71/1.63 clause( 5, [ =( composition( X, one ), X ) ] )
% 0.71/1.63 .
% 0.71/1.63 clause( 6, [ =( join( composition( X, Z ), composition( Y, Z ) ),
% 0.71/1.63 composition( join( X, Y ), Z ) ) ] )
% 0.71/1.63 .
% 0.71/1.63 clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 0.71/1.63 .
% 0.71/1.63 clause( 8, [ =( join( converse( X ), converse( Y ) ), converse( join( X, Y
% 0.71/1.63 ) ) ) ] )
% 0.71/1.63 .
% 0.71/1.63 clause( 9, [ =( composition( converse( Y ), converse( X ) ), converse(
% 0.71/1.63 composition( X, Y ) ) ) ] )
% 0.71/1.63 .
% 0.71/1.63 clause( 13, [ =( join( composition( converse( sk1 ), sk1 ), one ), one ) ]
% 0.71/1.63 )
% 0.71/1.63 .
% 0.71/1.63 clause( 14, [ =( join( composition( converse( sk2 ), sk2 ), one ), one ) ]
% 0.71/1.63 )
% 0.71/1.63 .
% 0.71/1.63 clause( 15, [ ~( =( join( composition( composition( converse( composition(
% 0.71/1.63 sk1, sk2 ) ), sk1 ), sk2 ), one ), one ) ) ] )
% 0.71/1.63 .
% 0.71/1.63 clause( 22, [ =( join( join( X, composition( converse( sk2 ), sk2 ) ), one
% 0.71/1.63 ), join( X, one ) ) ] )
% 0.71/1.63 .
% 0.71/1.63 clause( 73, [ =( converse( join( Y, converse( X ) ) ), join( converse( Y )
% 0.71/1.63 , X ) ) ] )
% 0.71/1.63 .
% 0.71/1.63 clause( 89, [ =( converse( composition( Y, converse( X ) ) ), composition(
% 0.71/1.63 X, converse( Y ) ) ) ] )
% 0.71/1.63 .
% 0.71/1.63 clause( 90, [ =( converse( composition( converse( X ), Y ) ), composition(
% 0.71/1.63 converse( Y ), X ) ) ] )
% 0.71/1.63 .
% 0.71/1.63 clause( 227, [ =( composition( converse( one ), X ), X ) ] )
% 0.71/1.63 .
% 0.71/1.63 clause( 233, [ =( converse( one ), one ) ] )
% 0.71/1.63 .
% 0.71/1.63 clause( 234, [ =( composition( one, X ), X ) ] )
% 0.71/1.63 .
% 0.71/1.63 clause( 243, [ =( join( composition( Y, X ), X ), composition( join( Y, one
% 0.71/1.63 ), X ) ) ] )
% 0.71/1.63 .
% 0.71/1.63 clause( 262, [ =( join( composition( join( X, converse( sk2 ) ), sk2 ), one
% 0.71/1.63 ), join( composition( X, sk2 ), one ) ) ] )
% 0.71/1.63 .
% 0.71/1.63 clause( 6601, [ =( join( composition( composition( converse( sk1 ), sk1 ),
% 0.71/1.63 X ), X ), X ) ] )
% 0.71/1.63 .
% 0.71/1.63 clause( 7863, [ =( join( composition( composition( X, converse( sk1 ) ),
% 0.71/1.63 sk1 ), X ), X ) ] )
% 0.71/1.63 .
% 0.71/1.63 clause( 7872, [ =( join( composition( composition( converse( composition(
% 0.71/1.63 sk1, sk2 ) ), sk1 ), sk2 ), one ), one ) ] )
% 0.71/1.63 .
% 0.71/1.63 clause( 8195, [] )
% 0.71/1.63 .
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 % SZS output end Refutation
% 0.71/1.63 found a proof!
% 0.71/1.63
% 0.71/1.63 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.63
% 0.71/1.63 initialclauses(
% 0.71/1.63 [ clause( 8197, [ =( join( X, Y ), join( Y, X ) ) ] )
% 0.71/1.63 , clause( 8198, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ]
% 0.71/1.63 )
% 0.71/1.63 , clause( 8199, [ =( X, join( complement( join( complement( X ), complement(
% 0.71/1.63 Y ) ) ), complement( join( complement( X ), Y ) ) ) ) ] )
% 0.71/1.63 , clause( 8200, [ =( meet( X, Y ), complement( join( complement( X ),
% 0.71/1.63 complement( Y ) ) ) ) ] )
% 0.71/1.63 , clause( 8201, [ =( composition( X, composition( Y, Z ) ), composition(
% 0.71/1.63 composition( X, Y ), Z ) ) ] )
% 0.71/1.63 , clause( 8202, [ =( composition( X, one ), X ) ] )
% 0.71/1.63 , clause( 8203, [ =( composition( join( X, Y ), Z ), join( composition( X,
% 0.71/1.63 Z ), composition( Y, Z ) ) ) ] )
% 0.71/1.63 , clause( 8204, [ =( converse( converse( X ) ), X ) ] )
% 0.71/1.63 , clause( 8205, [ =( converse( join( X, Y ) ), join( converse( X ),
% 0.71/1.63 converse( Y ) ) ) ] )
% 0.71/1.63 , clause( 8206, [ =( converse( composition( X, Y ) ), composition( converse(
% 0.71/1.63 Y ), converse( X ) ) ) ] )
% 0.71/1.63 , clause( 8207, [ =( join( composition( converse( X ), complement(
% 0.71/1.63 composition( X, Y ) ) ), complement( Y ) ), complement( Y ) ) ] )
% 0.71/1.63 , clause( 8208, [ =( top, join( X, complement( X ) ) ) ] )
% 0.71/1.63 , clause( 8209, [ =( zero, meet( X, complement( X ) ) ) ] )
% 0.71/1.63 , clause( 8210, [ =( join( composition( converse( sk1 ), sk1 ), one ), one
% 0.71/1.63 ) ] )
% 0.71/1.63 , clause( 8211, [ =( join( composition( converse( sk2 ), sk2 ), one ), one
% 0.71/1.63 ) ] )
% 0.71/1.63 , clause( 8212, [ ~( =( join( composition( converse( composition( sk1, sk2
% 0.71/1.63 ) ), composition( sk1, sk2 ) ), one ), one ) ) ] )
% 0.71/1.63 ] ).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 subsumption(
% 0.71/1.63 clause( 1, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 0.71/1.63 , clause( 8198, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ]
% 0.71/1.63 )
% 0.71/1.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.63 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 subsumption(
% 0.71/1.63 clause( 4, [ =( composition( X, composition( Y, Z ) ), composition(
% 0.71/1.63 composition( X, Y ), Z ) ) ] )
% 0.71/1.63 , clause( 8201, [ =( composition( X, composition( Y, Z ) ), composition(
% 0.71/1.63 composition( X, Y ), Z ) ) ] )
% 0.71/1.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.63 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 subsumption(
% 0.71/1.63 clause( 5, [ =( composition( X, one ), X ) ] )
% 0.71/1.63 , clause( 8202, [ =( composition( X, one ), X ) ] )
% 0.71/1.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 eqswap(
% 0.71/1.63 clause( 8228, [ =( join( composition( X, Z ), composition( Y, Z ) ),
% 0.71/1.63 composition( join( X, Y ), Z ) ) ] )
% 0.71/1.63 , clause( 8203, [ =( composition( join( X, Y ), Z ), join( composition( X,
% 0.71/1.63 Z ), composition( Y, Z ) ) ) ] )
% 0.71/1.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 subsumption(
% 0.71/1.63 clause( 6, [ =( join( composition( X, Z ), composition( Y, Z ) ),
% 0.71/1.63 composition( join( X, Y ), Z ) ) ] )
% 0.71/1.63 , clause( 8228, [ =( join( composition( X, Z ), composition( Y, Z ) ),
% 0.71/1.63 composition( join( X, Y ), Z ) ) ] )
% 0.71/1.63 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.63 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 subsumption(
% 0.71/1.63 clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 0.71/1.63 , clause( 8204, [ =( converse( converse( X ) ), X ) ] )
% 0.71/1.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 eqswap(
% 0.71/1.63 clause( 8243, [ =( join( converse( X ), converse( Y ) ), converse( join( X
% 0.71/1.63 , Y ) ) ) ] )
% 0.71/1.63 , clause( 8205, [ =( converse( join( X, Y ) ), join( converse( X ),
% 0.71/1.63 converse( Y ) ) ) ] )
% 0.71/1.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 subsumption(
% 0.71/1.63 clause( 8, [ =( join( converse( X ), converse( Y ) ), converse( join( X, Y
% 0.71/1.63 ) ) ) ] )
% 0.71/1.63 , clause( 8243, [ =( join( converse( X ), converse( Y ) ), converse( join(
% 0.71/1.63 X, Y ) ) ) ] )
% 0.71/1.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.63 )] ) ).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 eqswap(
% 0.71/1.63 clause( 8252, [ =( composition( converse( Y ), converse( X ) ), converse(
% 0.71/1.63 composition( X, Y ) ) ) ] )
% 0.71/1.63 , clause( 8206, [ =( converse( composition( X, Y ) ), composition( converse(
% 0.71/1.63 Y ), converse( X ) ) ) ] )
% 0.71/1.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 subsumption(
% 0.71/1.63 clause( 9, [ =( composition( converse( Y ), converse( X ) ), converse(
% 0.71/1.63 composition( X, Y ) ) ) ] )
% 0.71/1.63 , clause( 8252, [ =( composition( converse( Y ), converse( X ) ), converse(
% 0.71/1.63 composition( X, Y ) ) ) ] )
% 0.71/1.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.63 )] ) ).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 subsumption(
% 0.71/1.63 clause( 13, [ =( join( composition( converse( sk1 ), sk1 ), one ), one ) ]
% 0.71/1.63 )
% 0.71/1.63 , clause( 8210, [ =( join( composition( converse( sk1 ), sk1 ), one ), one
% 0.71/1.63 ) ] )
% 0.71/1.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 subsumption(
% 0.71/1.63 clause( 14, [ =( join( composition( converse( sk2 ), sk2 ), one ), one ) ]
% 0.71/1.63 )
% 0.71/1.63 , clause( 8211, [ =( join( composition( converse( sk2 ), sk2 ), one ), one
% 0.71/1.63 ) ] )
% 0.71/1.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 paramod(
% 0.71/1.63 clause( 8313, [ ~( =( join( composition( composition( converse( composition(
% 0.71/1.63 sk1, sk2 ) ), sk1 ), sk2 ), one ), one ) ) ] )
% 0.71/1.63 , clause( 4, [ =( composition( X, composition( Y, Z ) ), composition(
% 0.71/1.63 composition( X, Y ), Z ) ) ] )
% 0.71/1.63 , 0, clause( 8212, [ ~( =( join( composition( converse( composition( sk1,
% 0.71/1.63 sk2 ) ), composition( sk1, sk2 ) ), one ), one ) ) ] )
% 0.71/1.63 , 0, 3, substitution( 0, [ :=( X, converse( composition( sk1, sk2 ) ) ),
% 0.71/1.63 :=( Y, sk1 ), :=( Z, sk2 )] ), substitution( 1, [] )).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 subsumption(
% 0.71/1.63 clause( 15, [ ~( =( join( composition( composition( converse( composition(
% 0.71/1.63 sk1, sk2 ) ), sk1 ), sk2 ), one ), one ) ) ] )
% 0.71/1.63 , clause( 8313, [ ~( =( join( composition( composition( converse(
% 0.71/1.63 composition( sk1, sk2 ) ), sk1 ), sk2 ), one ), one ) ) ] )
% 0.71/1.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 eqswap(
% 0.71/1.63 clause( 8316, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) ) ] )
% 0.71/1.63 , clause( 1, [ =( join( X, join( Y, Z ) ), join( join( X, Y ), Z ) ) ] )
% 0.71/1.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 paramod(
% 0.71/1.63 clause( 8318, [ =( join( join( X, composition( converse( sk2 ), sk2 ) ),
% 0.71/1.63 one ), join( X, one ) ) ] )
% 0.71/1.63 , clause( 14, [ =( join( composition( converse( sk2 ), sk2 ), one ), one )
% 0.71/1.63 ] )
% 0.71/1.63 , 0, clause( 8316, [ =( join( join( X, Y ), Z ), join( X, join( Y, Z ) ) )
% 0.71/1.63 ] )
% 0.71/1.63 , 0, 11, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.71/1.63 composition( converse( sk2 ), sk2 ) ), :=( Z, one )] )).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 subsumption(
% 0.71/1.63 clause( 22, [ =( join( join( X, composition( converse( sk2 ), sk2 ) ), one
% 0.71/1.63 ), join( X, one ) ) ] )
% 0.71/1.63 , clause( 8318, [ =( join( join( X, composition( converse( sk2 ), sk2 ) ),
% 0.71/1.63 one ), join( X, one ) ) ] )
% 0.71/1.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 eqswap(
% 0.71/1.63 clause( 8322, [ =( converse( join( X, Y ) ), join( converse( X ), converse(
% 0.71/1.63 Y ) ) ) ] )
% 0.71/1.63 , clause( 8, [ =( join( converse( X ), converse( Y ) ), converse( join( X,
% 0.71/1.63 Y ) ) ) ] )
% 0.71/1.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 paramod(
% 0.71/1.63 clause( 8324, [ =( converse( join( X, converse( Y ) ) ), join( converse( X
% 0.71/1.63 ), Y ) ) ] )
% 0.71/1.63 , clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 0.71/1.63 , 0, clause( 8322, [ =( converse( join( X, Y ) ), join( converse( X ),
% 0.71/1.63 converse( Y ) ) ) ] )
% 0.71/1.63 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.71/1.63 :=( Y, converse( Y ) )] )).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 subsumption(
% 0.71/1.63 clause( 73, [ =( converse( join( Y, converse( X ) ) ), join( converse( Y )
% 0.71/1.63 , X ) ) ] )
% 0.71/1.63 , clause( 8324, [ =( converse( join( X, converse( Y ) ) ), join( converse(
% 0.71/1.63 X ), Y ) ) ] )
% 0.71/1.63 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.63 )] ) ).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 eqswap(
% 0.71/1.63 clause( 8328, [ =( converse( composition( Y, X ) ), composition( converse(
% 0.71/1.63 X ), converse( Y ) ) ) ] )
% 0.71/1.63 , clause( 9, [ =( composition( converse( Y ), converse( X ) ), converse(
% 0.71/1.63 composition( X, Y ) ) ) ] )
% 0.71/1.63 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 paramod(
% 0.71/1.63 clause( 8329, [ =( converse( composition( X, converse( Y ) ) ), composition(
% 0.71/1.63 Y, converse( X ) ) ) ] )
% 0.71/1.63 , clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 0.71/1.63 , 0, clause( 8328, [ =( converse( composition( Y, X ) ), composition(
% 0.71/1.63 converse( X ), converse( Y ) ) ) ] )
% 0.71/1.63 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 0.71/1.63 converse( Y ) ), :=( Y, X )] )).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 subsumption(
% 0.71/1.63 clause( 89, [ =( converse( composition( Y, converse( X ) ) ), composition(
% 0.71/1.63 X, converse( Y ) ) ) ] )
% 0.71/1.63 , clause( 8329, [ =( converse( composition( X, converse( Y ) ) ),
% 0.71/1.63 composition( Y, converse( X ) ) ) ] )
% 0.71/1.63 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.63 )] ) ).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 eqswap(
% 0.71/1.63 clause( 8334, [ =( converse( composition( Y, X ) ), composition( converse(
% 0.71/1.63 X ), converse( Y ) ) ) ] )
% 0.71/1.63 , clause( 9, [ =( composition( converse( Y ), converse( X ) ), converse(
% 0.71/1.63 composition( X, Y ) ) ) ] )
% 0.71/1.63 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 paramod(
% 0.71/1.63 clause( 8336, [ =( converse( composition( converse( X ), Y ) ), composition(
% 0.71/1.63 converse( Y ), X ) ) ] )
% 0.71/1.63 , clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 0.71/1.63 , 0, clause( 8334, [ =( converse( composition( Y, X ) ), composition(
% 0.71/1.63 converse( X ), converse( Y ) ) ) ] )
% 0.71/1.63 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ),
% 0.71/1.63 :=( Y, converse( X ) )] )).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 subsumption(
% 0.71/1.63 clause( 90, [ =( converse( composition( converse( X ), Y ) ), composition(
% 0.71/1.63 converse( Y ), X ) ) ] )
% 0.71/1.63 , clause( 8336, [ =( converse( composition( converse( X ), Y ) ),
% 0.71/1.63 composition( converse( Y ), X ) ) ] )
% 0.71/1.63 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.63 )] ) ).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 eqswap(
% 0.71/1.63 clause( 8340, [ =( composition( converse( Y ), X ), converse( composition(
% 0.71/1.63 converse( X ), Y ) ) ) ] )
% 0.71/1.63 , clause( 90, [ =( converse( composition( converse( X ), Y ) ), composition(
% 0.71/1.63 converse( Y ), X ) ) ] )
% 0.71/1.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 paramod(
% 0.71/1.63 clause( 8343, [ =( composition( converse( one ), X ), converse( converse( X
% 0.71/1.63 ) ) ) ] )
% 0.71/1.63 , clause( 5, [ =( composition( X, one ), X ) ] )
% 0.71/1.63 , 0, clause( 8340, [ =( composition( converse( Y ), X ), converse(
% 0.71/1.63 composition( converse( X ), Y ) ) ) ] )
% 0.71/1.63 , 0, 6, substitution( 0, [ :=( X, converse( X ) )] ), substitution( 1, [
% 0.71/1.63 :=( X, X ), :=( Y, one )] )).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 paramod(
% 0.71/1.63 clause( 8344, [ =( composition( converse( one ), X ), X ) ] )
% 0.71/1.63 , clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 0.71/1.63 , 0, clause( 8343, [ =( composition( converse( one ), X ), converse(
% 0.71/1.63 converse( X ) ) ) ] )
% 0.71/1.63 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.71/1.63 ).
% 0.71/1.63
% 0.71/1.63
% 0.71/1.63 subsumption(
% 0.71/1.63 clause( 227, [ =( composition( converse( one ), X ), X ) ] )
% 0.71/1.63 , clause( 8344, [ =( composition( converse( one ), X ), X ) ] )
% 1.28/1.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 eqswap(
% 1.28/1.63 clause( 8346, [ =( X, composition( converse( one ), X ) ) ] )
% 1.28/1.63 , clause( 227, [ =( composition( converse( one ), X ), X ) ] )
% 1.28/1.63 , 0, substitution( 0, [ :=( X, X )] )).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 paramod(
% 1.28/1.63 clause( 8348, [ =( one, converse( one ) ) ] )
% 1.28/1.63 , clause( 5, [ =( composition( X, one ), X ) ] )
% 1.28/1.63 , 0, clause( 8346, [ =( X, composition( converse( one ), X ) ) ] )
% 1.28/1.63 , 0, 2, substitution( 0, [ :=( X, converse( one ) )] ), substitution( 1, [
% 1.28/1.63 :=( X, one )] )).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 eqswap(
% 1.28/1.63 clause( 8349, [ =( converse( one ), one ) ] )
% 1.28/1.63 , clause( 8348, [ =( one, converse( one ) ) ] )
% 1.28/1.63 , 0, substitution( 0, [] )).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 subsumption(
% 1.28/1.63 clause( 233, [ =( converse( one ), one ) ] )
% 1.28/1.63 , clause( 8349, [ =( converse( one ), one ) ] )
% 1.28/1.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 eqswap(
% 1.28/1.63 clause( 8351, [ =( X, composition( converse( one ), X ) ) ] )
% 1.28/1.63 , clause( 227, [ =( composition( converse( one ), X ), X ) ] )
% 1.28/1.63 , 0, substitution( 0, [ :=( X, X )] )).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 paramod(
% 1.28/1.63 clause( 8352, [ =( X, composition( one, X ) ) ] )
% 1.28/1.63 , clause( 233, [ =( converse( one ), one ) ] )
% 1.28/1.63 , 0, clause( 8351, [ =( X, composition( converse( one ), X ) ) ] )
% 1.28/1.63 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 eqswap(
% 1.28/1.63 clause( 8353, [ =( composition( one, X ), X ) ] )
% 1.28/1.63 , clause( 8352, [ =( X, composition( one, X ) ) ] )
% 1.28/1.63 , 0, substitution( 0, [ :=( X, X )] )).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 subsumption(
% 1.28/1.63 clause( 234, [ =( composition( one, X ), X ) ] )
% 1.28/1.63 , clause( 8353, [ =( composition( one, X ), X ) ] )
% 1.28/1.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 eqswap(
% 1.28/1.63 clause( 8355, [ =( composition( join( X, Z ), Y ), join( composition( X, Y
% 1.28/1.63 ), composition( Z, Y ) ) ) ] )
% 1.28/1.63 , clause( 6, [ =( join( composition( X, Z ), composition( Y, Z ) ),
% 1.28/1.63 composition( join( X, Y ), Z ) ) ] )
% 1.28/1.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 paramod(
% 1.28/1.63 clause( 8357, [ =( composition( join( X, one ), Y ), join( composition( X,
% 1.28/1.63 Y ), Y ) ) ] )
% 1.28/1.63 , clause( 234, [ =( composition( one, X ), X ) ] )
% 1.28/1.63 , 0, clause( 8355, [ =( composition( join( X, Z ), Y ), join( composition(
% 1.28/1.63 X, Y ), composition( Z, Y ) ) ) ] )
% 1.28/1.63 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.28/1.63 :=( Y, Y ), :=( Z, one )] )).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 eqswap(
% 1.28/1.63 clause( 8359, [ =( join( composition( X, Y ), Y ), composition( join( X,
% 1.28/1.63 one ), Y ) ) ] )
% 1.28/1.63 , clause( 8357, [ =( composition( join( X, one ), Y ), join( composition( X
% 1.28/1.63 , Y ), Y ) ) ] )
% 1.28/1.63 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 subsumption(
% 1.28/1.63 clause( 243, [ =( join( composition( Y, X ), X ), composition( join( Y, one
% 1.28/1.63 ), X ) ) ] )
% 1.28/1.63 , clause( 8359, [ =( join( composition( X, Y ), Y ), composition( join( X,
% 1.28/1.63 one ), Y ) ) ] )
% 1.28/1.63 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.28/1.63 )] ) ).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 eqswap(
% 1.28/1.63 clause( 8361, [ =( join( X, one ), join( join( X, composition( converse(
% 1.28/1.63 sk2 ), sk2 ) ), one ) ) ] )
% 1.28/1.63 , clause( 22, [ =( join( join( X, composition( converse( sk2 ), sk2 ) ),
% 1.28/1.63 one ), join( X, one ) ) ] )
% 1.28/1.63 , 0, substitution( 0, [ :=( X, X )] )).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 paramod(
% 1.28/1.63 clause( 8364, [ =( join( composition( X, sk2 ), one ), join( composition(
% 1.28/1.63 join( X, converse( sk2 ) ), sk2 ), one ) ) ] )
% 1.28/1.63 , clause( 6, [ =( join( composition( X, Z ), composition( Y, Z ) ),
% 1.28/1.63 composition( join( X, Y ), Z ) ) ] )
% 1.28/1.63 , 0, clause( 8361, [ =( join( X, one ), join( join( X, composition(
% 1.28/1.63 converse( sk2 ), sk2 ) ), one ) ) ] )
% 1.28/1.63 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, converse( sk2 ) ), :=( Z, sk2
% 1.28/1.63 )] ), substitution( 1, [ :=( X, composition( X, sk2 ) )] )).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 eqswap(
% 1.28/1.63 clause( 8365, [ =( join( composition( join( X, converse( sk2 ) ), sk2 ),
% 1.28/1.63 one ), join( composition( X, sk2 ), one ) ) ] )
% 1.28/1.63 , clause( 8364, [ =( join( composition( X, sk2 ), one ), join( composition(
% 1.28/1.63 join( X, converse( sk2 ) ), sk2 ), one ) ) ] )
% 1.28/1.63 , 0, substitution( 0, [ :=( X, X )] )).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 subsumption(
% 1.28/1.63 clause( 262, [ =( join( composition( join( X, converse( sk2 ) ), sk2 ), one
% 1.28/1.63 ), join( composition( X, sk2 ), one ) ) ] )
% 1.28/1.63 , clause( 8365, [ =( join( composition( join( X, converse( sk2 ) ), sk2 ),
% 1.28/1.63 one ), join( composition( X, sk2 ), one ) ) ] )
% 1.28/1.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 eqswap(
% 1.28/1.63 clause( 8367, [ =( composition( join( X, one ), Y ), join( composition( X,
% 1.28/1.63 Y ), Y ) ) ] )
% 1.28/1.63 , clause( 243, [ =( join( composition( Y, X ), X ), composition( join( Y,
% 1.28/1.63 one ), X ) ) ] )
% 1.28/1.63 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 paramod(
% 1.28/1.63 clause( 8369, [ =( composition( one, X ), join( composition( composition(
% 1.28/1.63 converse( sk1 ), sk1 ), X ), X ) ) ] )
% 1.28/1.63 , clause( 13, [ =( join( composition( converse( sk1 ), sk1 ), one ), one )
% 1.28/1.63 ] )
% 1.28/1.63 , 0, clause( 8367, [ =( composition( join( X, one ), Y ), join( composition(
% 1.28/1.63 X, Y ), Y ) ) ] )
% 1.28/1.63 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, composition(
% 1.28/1.63 converse( sk1 ), sk1 ) ), :=( Y, X )] )).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 paramod(
% 1.28/1.63 clause( 8370, [ =( X, join( composition( composition( converse( sk1 ), sk1
% 1.28/1.63 ), X ), X ) ) ] )
% 1.28/1.63 , clause( 234, [ =( composition( one, X ), X ) ] )
% 1.28/1.63 , 0, clause( 8369, [ =( composition( one, X ), join( composition(
% 1.28/1.63 composition( converse( sk1 ), sk1 ), X ), X ) ) ] )
% 1.28/1.63 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.28/1.63 ).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 eqswap(
% 1.28/1.63 clause( 8371, [ =( join( composition( composition( converse( sk1 ), sk1 ),
% 1.28/1.63 X ), X ), X ) ] )
% 1.28/1.63 , clause( 8370, [ =( X, join( composition( composition( converse( sk1 ),
% 1.28/1.63 sk1 ), X ), X ) ) ] )
% 1.28/1.63 , 0, substitution( 0, [ :=( X, X )] )).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 subsumption(
% 1.28/1.63 clause( 6601, [ =( join( composition( composition( converse( sk1 ), sk1 ),
% 1.28/1.63 X ), X ), X ) ] )
% 1.28/1.63 , clause( 8371, [ =( join( composition( composition( converse( sk1 ), sk1 )
% 1.28/1.63 , X ), X ), X ) ] )
% 1.28/1.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 eqswap(
% 1.28/1.63 clause( 8373, [ =( join( converse( X ), Y ), converse( join( X, converse( Y
% 1.28/1.63 ) ) ) ) ] )
% 1.28/1.63 , clause( 73, [ =( converse( join( Y, converse( X ) ) ), join( converse( Y
% 1.28/1.63 ), X ) ) ] )
% 1.28/1.63 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 paramod(
% 1.28/1.63 clause( 8378, [ =( join( converse( composition( composition( converse( sk1
% 1.28/1.63 ), sk1 ), converse( X ) ) ), X ), converse( converse( X ) ) ) ] )
% 1.28/1.63 , clause( 6601, [ =( join( composition( composition( converse( sk1 ), sk1 )
% 1.28/1.63 , X ), X ), X ) ] )
% 1.28/1.63 , 0, clause( 8373, [ =( join( converse( X ), Y ), converse( join( X,
% 1.28/1.63 converse( Y ) ) ) ) ] )
% 1.28/1.63 , 0, 12, substitution( 0, [ :=( X, converse( X ) )] ), substitution( 1, [
% 1.28/1.63 :=( X, composition( composition( converse( sk1 ), sk1 ), converse( X ) )
% 1.28/1.63 ), :=( Y, X )] )).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 paramod(
% 1.28/1.63 clause( 8379, [ =( join( converse( composition( composition( converse( sk1
% 1.28/1.63 ), sk1 ), converse( X ) ) ), X ), X ) ] )
% 1.28/1.63 , clause( 7, [ =( converse( converse( X ) ), X ) ] )
% 1.28/1.63 , 0, clause( 8378, [ =( join( converse( composition( composition( converse(
% 1.28/1.63 sk1 ), sk1 ), converse( X ) ) ), X ), converse( converse( X ) ) ) ] )
% 1.28/1.63 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 1.28/1.63 ).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 paramod(
% 1.28/1.63 clause( 8380, [ =( join( composition( X, converse( composition( converse(
% 1.28/1.63 sk1 ), sk1 ) ) ), X ), X ) ] )
% 1.28/1.63 , clause( 89, [ =( converse( composition( Y, converse( X ) ) ), composition(
% 1.28/1.63 X, converse( Y ) ) ) ] )
% 1.28/1.63 , 0, clause( 8379, [ =( join( converse( composition( composition( converse(
% 1.28/1.63 sk1 ), sk1 ), converse( X ) ) ), X ), X ) ] )
% 1.28/1.63 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, composition( converse( sk1 )
% 1.28/1.63 , sk1 ) )] ), substitution( 1, [ :=( X, X )] )).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 paramod(
% 1.28/1.63 clause( 8381, [ =( join( composition( X, composition( converse( sk1 ), sk1
% 1.28/1.63 ) ), X ), X ) ] )
% 1.28/1.63 , clause( 90, [ =( converse( composition( converse( X ), Y ) ), composition(
% 1.28/1.63 converse( Y ), X ) ) ] )
% 1.28/1.63 , 0, clause( 8380, [ =( join( composition( X, converse( composition(
% 1.28/1.63 converse( sk1 ), sk1 ) ) ), X ), X ) ] )
% 1.28/1.63 , 0, 4, substitution( 0, [ :=( X, sk1 ), :=( Y, sk1 )] ), substitution( 1
% 1.28/1.63 , [ :=( X, X )] )).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 paramod(
% 1.28/1.63 clause( 8382, [ =( join( composition( composition( X, converse( sk1 ) ),
% 1.28/1.63 sk1 ), X ), X ) ] )
% 1.28/1.63 , clause( 4, [ =( composition( X, composition( Y, Z ) ), composition(
% 1.28/1.63 composition( X, Y ), Z ) ) ] )
% 1.28/1.63 , 0, clause( 8381, [ =( join( composition( X, composition( converse( sk1 )
% 1.28/1.63 , sk1 ) ), X ), X ) ] )
% 1.28/1.63 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, converse( sk1 ) ), :=( Z, sk1
% 1.28/1.63 )] ), substitution( 1, [ :=( X, X )] )).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 subsumption(
% 1.28/1.63 clause( 7863, [ =( join( composition( composition( X, converse( sk1 ) ),
% 1.28/1.63 sk1 ), X ), X ) ] )
% 1.28/1.63 , clause( 8382, [ =( join( composition( composition( X, converse( sk1 ) ),
% 1.28/1.63 sk1 ), X ), X ) ] )
% 1.28/1.63 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 eqswap(
% 1.28/1.63 clause( 8385, [ =( join( composition( X, sk2 ), one ), join( composition(
% 1.28/1.63 join( X, converse( sk2 ) ), sk2 ), one ) ) ] )
% 1.28/1.63 , clause( 262, [ =( join( composition( join( X, converse( sk2 ) ), sk2 ),
% 1.28/1.63 one ), join( composition( X, sk2 ), one ) ) ] )
% 1.28/1.63 , 0, substitution( 0, [ :=( X, X )] )).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 paramod(
% 1.28/1.63 clause( 8388, [ =( join( composition( composition( composition( converse(
% 1.28/1.63 sk2 ), converse( sk1 ) ), sk1 ), sk2 ), one ), join( composition(
% 1.28/1.63 converse( sk2 ), sk2 ), one ) ) ] )
% 1.28/1.63 , clause( 7863, [ =( join( composition( composition( X, converse( sk1 ) ),
% 1.28/1.63 sk1 ), X ), X ) ] )
% 1.28/1.63 , 0, clause( 8385, [ =( join( composition( X, sk2 ), one ), join(
% 1.28/1.63 composition( join( X, converse( sk2 ) ), sk2 ), one ) ) ] )
% 1.28/1.63 , 0, 14, substitution( 0, [ :=( X, converse( sk2 ) )] ), substitution( 1, [
% 1.28/1.63 :=( X, composition( composition( converse( sk2 ), converse( sk1 ) ), sk1
% 1.28/1.63 ) )] )).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 paramod(
% 1.28/1.63 clause( 8389, [ =( join( composition( composition( composition( converse(
% 1.28/1.63 sk2 ), converse( sk1 ) ), sk1 ), sk2 ), one ), one ) ] )
% 1.28/1.63 , clause( 14, [ =( join( composition( converse( sk2 ), sk2 ), one ), one )
% 1.28/1.63 ] )
% 1.28/1.63 , 0, clause( 8388, [ =( join( composition( composition( composition(
% 1.28/1.63 converse( sk2 ), converse( sk1 ) ), sk1 ), sk2 ), one ), join(
% 1.28/1.63 composition( converse( sk2 ), sk2 ), one ) ) ] )
% 1.28/1.63 , 0, 12, substitution( 0, [] ), substitution( 1, [] )).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 paramod(
% 1.28/1.63 clause( 8390, [ =( join( composition( composition( converse( composition(
% 1.28/1.63 sk1, sk2 ) ), sk1 ), sk2 ), one ), one ) ] )
% 1.28/1.63 , clause( 9, [ =( composition( converse( Y ), converse( X ) ), converse(
% 1.28/1.63 composition( X, Y ) ) ) ] )
% 1.28/1.63 , 0, clause( 8389, [ =( join( composition( composition( composition(
% 1.28/1.63 converse( sk2 ), converse( sk1 ) ), sk1 ), sk2 ), one ), one ) ] )
% 1.28/1.63 , 0, 4, substitution( 0, [ :=( X, sk1 ), :=( Y, sk2 )] ), substitution( 1
% 1.28/1.63 , [] )).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 subsumption(
% 1.28/1.63 clause( 7872, [ =( join( composition( composition( converse( composition(
% 1.28/1.63 sk1, sk2 ) ), sk1 ), sk2 ), one ), one ) ] )
% 1.28/1.63 , clause( 8390, [ =( join( composition( composition( converse( composition(
% 1.28/1.63 sk1, sk2 ) ), sk1 ), sk2 ), one ), one ) ] )
% 1.28/1.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 paramod(
% 1.28/1.63 clause( 8394, [ ~( =( one, one ) ) ] )
% 1.28/1.63 , clause( 7872, [ =( join( composition( composition( converse( composition(
% 1.28/1.63 sk1, sk2 ) ), sk1 ), sk2 ), one ), one ) ] )
% 1.28/1.63 , 0, clause( 15, [ ~( =( join( composition( composition( converse(
% 1.28/1.63 composition( sk1, sk2 ) ), sk1 ), sk2 ), one ), one ) ) ] )
% 1.28/1.63 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 eqrefl(
% 1.28/1.63 clause( 8395, [] )
% 1.28/1.63 , clause( 8394, [ ~( =( one, one ) ) ] )
% 1.28/1.63 , 0, substitution( 0, [] )).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 subsumption(
% 1.28/1.63 clause( 8195, [] )
% 1.28/1.63 , clause( 8395, [] )
% 1.28/1.63 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 end.
% 1.28/1.63
% 1.28/1.63 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.28/1.63
% 1.28/1.63 Memory use:
% 1.28/1.63
% 1.28/1.63 space for terms: 105583
% 1.28/1.63 space for clauses: 877441
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 clauses generated: 171714
% 1.28/1.63 clauses kept: 8196
% 1.28/1.63 clauses selected: 734
% 1.28/1.63 clauses deleted: 389
% 1.28/1.63 clauses inuse deleted: 90
% 1.28/1.63
% 1.28/1.63 subsentry: 7159
% 1.28/1.63 literals s-matched: 6764
% 1.28/1.63 literals matched: 6764
% 1.28/1.63 full subsumption: 0
% 1.28/1.63
% 1.28/1.63 checksum: -1737183082
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 Bliksem ended
%------------------------------------------------------------------------------