TSTP Solution File: GRP175-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP175-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.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 : Sat Jul 16 07:35:48 EDT 2022
% Result : Unsatisfiable 0.87s 1.24s
% Output : Refutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP175-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n014.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 : Mon Jun 13 14:18:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.87/1.24 *** allocated 10000 integers for termspace/termends
% 0.87/1.24 *** allocated 10000 integers for clauses
% 0.87/1.24 *** allocated 10000 integers for justifications
% 0.87/1.24 Bliksem 1.12
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 Automatic Strategy Selection
% 0.87/1.24
% 0.87/1.24 Clauses:
% 0.87/1.24 [
% 0.87/1.24 [ =( multiply( identity, X ), X ) ],
% 0.87/1.24 [ =( multiply( inverse( X ), X ), identity ) ],
% 0.87/1.24 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.87/1.24 ],
% 0.87/1.24 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 0.87/1.24 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.87/1.24 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 0.87/1.24 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.87/1.24 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 0.87/1.24 [ =( 'least_upper_bound'( X, X ), X ) ],
% 0.87/1.24 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 0.87/1.24 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 0.87/1.24 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.87/1.24 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.87/1.24 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.87/1.24 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 0.87/1.24 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.87/1.24 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.87/1.24 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.87/1.24 [ =( 'greatest_lower_bound'( identity, b ), identity ) ],
% 0.87/1.24 [ ~( =( 'greatest_lower_bound'( identity, multiply( inverse( a ),
% 0.87/1.24 multiply( b, a ) ) ), identity ) ) ]
% 0.87/1.24 ] .
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 percentage equality = 1.000000, percentage horn = 1.000000
% 0.87/1.24 This is a pure equality problem
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 Options Used:
% 0.87/1.24
% 0.87/1.24 useres = 1
% 0.87/1.24 useparamod = 1
% 0.87/1.24 useeqrefl = 1
% 0.87/1.24 useeqfact = 1
% 0.87/1.24 usefactor = 1
% 0.87/1.24 usesimpsplitting = 0
% 0.87/1.24 usesimpdemod = 5
% 0.87/1.24 usesimpres = 3
% 0.87/1.24
% 0.87/1.24 resimpinuse = 1000
% 0.87/1.24 resimpclauses = 20000
% 0.87/1.24 substype = eqrewr
% 0.87/1.24 backwardsubs = 1
% 0.87/1.24 selectoldest = 5
% 0.87/1.24
% 0.87/1.24 litorderings [0] = split
% 0.87/1.24 litorderings [1] = extend the termordering, first sorting on arguments
% 0.87/1.24
% 0.87/1.24 termordering = kbo
% 0.87/1.24
% 0.87/1.24 litapriori = 0
% 0.87/1.24 termapriori = 1
% 0.87/1.24 litaposteriori = 0
% 0.87/1.24 termaposteriori = 0
% 0.87/1.24 demodaposteriori = 0
% 0.87/1.24 ordereqreflfact = 0
% 0.87/1.24
% 0.87/1.24 litselect = negord
% 0.87/1.24
% 0.87/1.24 maxweight = 15
% 0.87/1.24 maxdepth = 30000
% 0.87/1.24 maxlength = 115
% 0.87/1.24 maxnrvars = 195
% 0.87/1.24 excuselevel = 1
% 0.87/1.24 increasemaxweight = 1
% 0.87/1.24
% 0.87/1.24 maxselected = 10000000
% 0.87/1.24 maxnrclauses = 10000000
% 0.87/1.24
% 0.87/1.24 showgenerated = 0
% 0.87/1.24 showkept = 0
% 0.87/1.24 showselected = 0
% 0.87/1.24 showdeleted = 0
% 0.87/1.24 showresimp = 1
% 0.87/1.24 showstatus = 2000
% 0.87/1.24
% 0.87/1.24 prologoutput = 1
% 0.87/1.24 nrgoals = 5000000
% 0.87/1.24 totalproof = 1
% 0.87/1.24
% 0.87/1.24 Symbols occurring in the translation:
% 0.87/1.24
% 0.87/1.24 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.24 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.87/1.24 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.87/1.24 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.24 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.24 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.87/1.24 multiply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.87/1.24 inverse [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.87/1.24 'greatest_lower_bound' [45, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.87/1.24 'least_upper_bound' [46, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.87/1.24 b [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.87/1.24 a [48, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 Starting Search:
% 0.87/1.24
% 0.87/1.24 Resimplifying inuse:
% 0.87/1.24 Done
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 Intermediate Status:
% 0.87/1.24 Generated: 26805
% 0.87/1.24 Kept: 2006
% 0.87/1.24 Inuse: 250
% 0.87/1.24 Deleted: 18
% 0.87/1.24 Deletedinuse: 6
% 0.87/1.24
% 0.87/1.24 Resimplifying inuse:
% 0.87/1.24 Done
% 0.87/1.24
% 0.87/1.24 Resimplifying inuse:
% 0.87/1.24
% 0.87/1.24 Bliksems!, er is een bewijs:
% 0.87/1.24 % SZS status Unsatisfiable
% 0.87/1.24 % SZS output start Refutation
% 0.87/1.24
% 0.87/1.24 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.87/1.24 , Z ) ) ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 0.87/1.24 X ) ) ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 0.87/1.24 ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 0.87/1.24 ) ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 0.87/1.24 X ) ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 0.87/1.24 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 0.87/1.24 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 15, [ =( 'greatest_lower_bound'( identity, b ), identity ) ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 16, [ ~( =( 'greatest_lower_bound'( identity, multiply( multiply(
% 0.87/1.24 inverse( a ), b ), a ) ), identity ) ) ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.87/1.24 identity ) ) ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.87/1.24 ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 0.87/1.24 X ) ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 32, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 0.87/1.24 X ) ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 41, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 0.87/1.24 X ) ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 80, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 0.87/1.24 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 0.87/1.24 )
% 0.87/1.24 .
% 0.87/1.24 clause( 98, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 0.87/1.24 'least_upper_bound'( Y, identity ), X ) ) ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 131, [ ~( =( 'greatest_lower_bound'( multiply( multiply( inverse( a
% 0.87/1.24 ), b ), a ), identity ), identity ) ) ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 161, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 166, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.87/1.24 ) ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 167, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 0.87/1.24 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 286, [ =( multiply( X, identity ), X ) ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 808, [ =( 'greatest_lower_bound'( X, multiply( X, b ) ), X ) ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 837, [ =( 'least_upper_bound'( multiply( X, b ), X ), multiply( X,
% 0.87/1.24 b ) ) ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 2356, [ =( 'least_upper_bound'( multiply( b, X ), X ), multiply( b
% 0.87/1.24 , X ) ) ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 2455, [ =( 'greatest_lower_bound'( multiply( b, X ), X ), X ) ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 2485, [ =( 'greatest_lower_bound'( multiply( multiply( inverse( X )
% 0.87/1.24 , b ), X ), identity ), identity ) ] )
% 0.87/1.24 .
% 0.87/1.24 clause( 3038, [] )
% 0.87/1.24 .
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 % SZS output end Refutation
% 0.87/1.24 found a proof!
% 0.87/1.24
% 0.87/1.24 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.87/1.24
% 0.87/1.24 initialclauses(
% 0.87/1.24 [ clause( 3040, [ =( multiply( identity, X ), X ) ] )
% 0.87/1.24 , clause( 3041, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.87/1.24 , clause( 3042, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.87/1.24 Y, Z ) ) ) ] )
% 0.87/1.24 , clause( 3043, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.87/1.24 Y, X ) ) ] )
% 0.87/1.24 , clause( 3044, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.87/1.24 ) ) ] )
% 0.87/1.24 , clause( 3045, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y,
% 0.87/1.24 Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.87/1.24 , clause( 3046, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 0.87/1.24 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.87/1.24 , clause( 3047, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 0.87/1.24 , clause( 3048, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 0.87/1.24 , clause( 3049, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y )
% 0.87/1.24 ), X ) ] )
% 0.87/1.24 , clause( 3050, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y )
% 0.87/1.24 ), X ) ] )
% 0.87/1.24 , clause( 3051, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.87/1.24 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.87/1.24 , clause( 3052, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.87/1.24 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.87/1.24 , clause( 3053, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 0.87/1.24 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.87/1.24 , clause( 3054, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.87/1.24 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.87/1.24 , clause( 3055, [ =( 'greatest_lower_bound'( identity, b ), identity ) ] )
% 0.87/1.24 , clause( 3056, [ ~( =( 'greatest_lower_bound'( identity, multiply( inverse(
% 0.87/1.24 a ), multiply( b, a ) ) ), identity ) ) ] )
% 0.87/1.24 ] ).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 subsumption(
% 0.87/1.24 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.87/1.24 , clause( 3040, [ =( multiply( identity, X ), X ) ] )
% 0.87/1.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 subsumption(
% 0.87/1.24 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.87/1.24 , clause( 3041, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.87/1.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 eqswap(
% 0.87/1.24 clause( 3062, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X,
% 0.87/1.24 Y ), Z ) ) ] )
% 0.87/1.24 , clause( 3042, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.87/1.24 Y, Z ) ) ) ] )
% 0.87/1.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 subsumption(
% 0.87/1.24 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.87/1.24 , Z ) ) ] )
% 0.87/1.24 , clause( 3062, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.87/1.24 , Y ), Z ) ) ] )
% 0.87/1.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 subsumption(
% 0.87/1.24 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 0.87/1.24 X ) ) ] )
% 0.87/1.24 , clause( 3043, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.87/1.24 Y, X ) ) ] )
% 0.87/1.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.24 )] ) ).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 subsumption(
% 0.87/1.24 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 0.87/1.24 ] )
% 0.87/1.24 , clause( 3044, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.87/1.24 ) ) ] )
% 0.87/1.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.24 )] ) ).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 subsumption(
% 0.87/1.24 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 0.87/1.24 ) ] )
% 0.87/1.24 , clause( 3049, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y )
% 0.87/1.24 ), X ) ] )
% 0.87/1.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.24 )] ) ).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 subsumption(
% 0.87/1.24 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 0.87/1.24 X ) ] )
% 0.87/1.24 , clause( 3050, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y )
% 0.87/1.24 ), X ) ] )
% 0.87/1.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.24 )] ) ).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 eqswap(
% 0.87/1.24 clause( 3096, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 0.87/1.24 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.87/1.24 , clause( 3052, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.87/1.24 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.87/1.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 subsumption(
% 0.87/1.24 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 0.87/1.24 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.87/1.24 , clause( 3096, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 0.87/1.24 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.87/1.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 eqswap(
% 0.87/1.24 clause( 3108, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 0.87/1.24 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.87/1.24 , clause( 3053, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 0.87/1.24 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.87/1.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 subsumption(
% 0.87/1.24 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 0.87/1.24 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.87/1.24 , clause( 3108, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 0.87/1.24 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.87/1.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 subsumption(
% 0.87/1.24 clause( 15, [ =( 'greatest_lower_bound'( identity, b ), identity ) ] )
% 0.87/1.24 , clause( 3055, [ =( 'greatest_lower_bound'( identity, b ), identity ) ] )
% 0.87/1.24 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 paramod(
% 0.87/1.24 clause( 3157, [ ~( =( 'greatest_lower_bound'( identity, multiply( multiply(
% 0.87/1.24 inverse( a ), b ), a ) ), identity ) ) ] )
% 0.87/1.24 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.87/1.24 ), Z ) ) ] )
% 0.87/1.24 , 0, clause( 3056, [ ~( =( 'greatest_lower_bound'( identity, multiply(
% 0.87/1.24 inverse( a ), multiply( b, a ) ) ), identity ) ) ] )
% 0.87/1.24 , 0, 4, substitution( 0, [ :=( X, inverse( a ) ), :=( Y, b ), :=( Z, a )] )
% 0.87/1.24 , substitution( 1, [] )).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 subsumption(
% 0.87/1.24 clause( 16, [ ~( =( 'greatest_lower_bound'( identity, multiply( multiply(
% 0.87/1.24 inverse( a ), b ), a ) ), identity ) ) ] )
% 0.87/1.24 , clause( 3157, [ ~( =( 'greatest_lower_bound'( identity, multiply(
% 0.87/1.24 multiply( inverse( a ), b ), a ) ), identity ) ) ] )
% 0.87/1.24 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 eqswap(
% 0.87/1.24 clause( 3160, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.87/1.24 Y, Z ) ) ) ] )
% 0.87/1.24 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.87/1.24 ), Z ) ) ] )
% 0.87/1.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 paramod(
% 0.87/1.24 clause( 3165, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 0.87/1.24 , identity ) ) ] )
% 0.87/1.24 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.87/1.24 , 0, clause( 3160, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.87/1.24 multiply( Y, Z ) ) ) ] )
% 0.87/1.24 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.87/1.24 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 subsumption(
% 0.87/1.24 clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.87/1.24 identity ) ) ] )
% 0.87/1.24 , clause( 3165, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 0.87/1.24 X, identity ) ) ] )
% 0.87/1.24 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.24 )] ) ).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 eqswap(
% 0.87/1.24 clause( 3170, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.87/1.24 Y, Z ) ) ) ] )
% 0.87/1.24 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.87/1.24 ), Z ) ) ] )
% 0.87/1.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 paramod(
% 0.87/1.24 clause( 3175, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.87/1.24 ) ] )
% 0.87/1.24 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.87/1.24 , 0, clause( 3170, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.87/1.24 multiply( Y, Z ) ) ) ] )
% 0.87/1.24 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.87/1.24 :=( Y, identity ), :=( Z, Y )] )).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 subsumption(
% 0.87/1.24 clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.87/1.24 ] )
% 0.87/1.24 , clause( 3175, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 0.87/1.24 ) ) ] )
% 0.87/1.24 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.24 )] ) ).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 eqswap(
% 0.87/1.24 clause( 3180, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 0.87/1.24 ) ) ) ] )
% 0.87/1.24 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 0.87/1.24 , X ) ] )
% 0.87/1.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 paramod(
% 0.87/1.24 clause( 3181, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 0.87/1.24 X ) ) ] )
% 0.87/1.24 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 0.87/1.24 , X ) ) ] )
% 0.87/1.24 , 0, clause( 3180, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 0.87/1.24 X, Y ) ) ) ] )
% 0.87/1.24 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 0.87/1.24 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 eqswap(
% 0.87/1.24 clause( 3184, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 0.87/1.24 , X ) ] )
% 0.87/1.24 , clause( 3181, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 0.87/1.24 , X ) ) ] )
% 0.87/1.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 subsumption(
% 0.87/1.24 clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 0.87/1.24 X ) ] )
% 0.87/1.24 , clause( 3184, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 0.87/1.24 ), X ) ] )
% 0.87/1.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.24 )] ) ).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 eqswap(
% 0.87/1.24 clause( 3185, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 0.87/1.24 X ) ) ] )
% 0.87/1.24 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 0.87/1.24 , X ) ] )
% 0.87/1.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 paramod(
% 0.87/1.24 clause( 3186, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 0.87/1.24 X ) ) ] )
% 0.87/1.24 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 0.87/1.24 ) ] )
% 0.87/1.24 , 0, clause( 3185, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X,
% 0.87/1.24 Y ), X ) ) ] )
% 0.87/1.24 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.87/1.24 :=( X, X ), :=( Y, Y )] )).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 eqswap(
% 0.87/1.24 clause( 3189, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 0.87/1.24 , X ) ] )
% 0.87/1.24 , clause( 3186, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X )
% 0.87/1.24 , X ) ) ] )
% 0.87/1.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 subsumption(
% 0.87/1.24 clause( 32, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 0.87/1.24 X ) ] )
% 0.87/1.24 , clause( 3189, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X
% 0.87/1.24 ), X ) ] )
% 0.87/1.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.24 )] ) ).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 eqswap(
% 0.87/1.24 clause( 3190, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 0.87/1.24 ) ) ) ] )
% 0.87/1.24 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 0.87/1.24 , X ) ] )
% 0.87/1.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 paramod(
% 0.87/1.24 clause( 3191, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 0.87/1.24 ) ) ) ] )
% 0.87/1.24 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 0.87/1.24 , X ) ) ] )
% 0.87/1.24 , 0, clause( 3190, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 0.87/1.24 X, Y ) ) ) ] )
% 0.87/1.24 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.87/1.24 :=( X, X ), :=( Y, Y )] )).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 eqswap(
% 0.87/1.24 clause( 3194, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 0.87/1.24 , X ) ] )
% 0.87/1.24 , clause( 3191, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y,
% 0.87/1.24 X ) ) ) ] )
% 0.87/1.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 subsumption(
% 0.87/1.24 clause( 41, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 0.87/1.24 X ) ] )
% 0.87/1.24 , clause( 3194, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 0.87/1.24 ), X ) ] )
% 0.87/1.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.24 )] ) ).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 eqswap(
% 0.87/1.24 clause( 3196, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.87/1.24 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.87/1.24 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 0.87/1.24 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.87/1.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 paramod(
% 0.87/1.24 clause( 3199, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) )
% 0.87/1.24 , 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 0.87/1.25 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.87/1.25 , 0, clause( 3196, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.87/1.25 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.87/1.25 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.87/1.25 inverse( X ) ), :=( Y, Y ), :=( Z, X )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 eqswap(
% 0.87/1.25 clause( 3202, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 0.87/1.25 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 0.87/1.25 )
% 0.87/1.25 , clause( 3199, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y, X )
% 0.87/1.25 ), 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) ) ]
% 0.87/1.25 )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 80, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 0.87/1.25 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 0.87/1.25 )
% 0.87/1.25 , clause( 3202, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 0.87/1.25 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 0.87/1.25 )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.25 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 eqswap(
% 0.87/1.25 clause( 3204, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 0.87/1.25 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 0.87/1.25 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 0.87/1.25 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 paramod(
% 0.87/1.25 clause( 3206, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 0.87/1.25 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 0.87/1.25 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.87/1.25 , 0, clause( 3204, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 0.87/1.25 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 0.87/1.25 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.87/1.25 :=( Y, Y ), :=( Z, identity )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 eqswap(
% 0.87/1.25 clause( 3208, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 0.87/1.25 'least_upper_bound'( X, identity ), Y ) ) ] )
% 0.87/1.25 , clause( 3206, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 0.87/1.25 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 98, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 0.87/1.25 'least_upper_bound'( Y, identity ), X ) ) ] )
% 0.87/1.25 , clause( 3208, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 0.87/1.25 'least_upper_bound'( X, identity ), Y ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.25 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 eqswap(
% 0.87/1.25 clause( 3209, [ ~( =( identity, 'greatest_lower_bound'( identity, multiply(
% 0.87/1.25 multiply( inverse( a ), b ), a ) ) ) ) ] )
% 0.87/1.25 , clause( 16, [ ~( =( 'greatest_lower_bound'( identity, multiply( multiply(
% 0.87/1.25 inverse( a ), b ), a ) ), identity ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 paramod(
% 0.87/1.25 clause( 3210, [ ~( =( identity, 'greatest_lower_bound'( multiply( multiply(
% 0.87/1.25 inverse( a ), b ), a ), identity ) ) ) ] )
% 0.87/1.25 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 0.87/1.25 , X ) ) ] )
% 0.87/1.25 , 0, clause( 3209, [ ~( =( identity, 'greatest_lower_bound'( identity,
% 0.87/1.25 multiply( multiply( inverse( a ), b ), a ) ) ) ) ] )
% 0.87/1.25 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, multiply( multiply(
% 0.87/1.25 inverse( a ), b ), a ) )] ), substitution( 1, [] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 eqswap(
% 0.87/1.25 clause( 3213, [ ~( =( 'greatest_lower_bound'( multiply( multiply( inverse(
% 0.87/1.25 a ), b ), a ), identity ), identity ) ) ] )
% 0.87/1.25 , clause( 3210, [ ~( =( identity, 'greatest_lower_bound'( multiply(
% 0.87/1.25 multiply( inverse( a ), b ), a ), identity ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 131, [ ~( =( 'greatest_lower_bound'( multiply( multiply( inverse( a
% 0.87/1.25 ), b ), a ), identity ), identity ) ) ] )
% 0.87/1.25 , clause( 3213, [ ~( =( 'greatest_lower_bound'( multiply( multiply( inverse(
% 0.87/1.25 a ), b ), a ), identity ), identity ) ) ] )
% 0.87/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 eqswap(
% 0.87/1.25 clause( 3215, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 0.87/1.25 Y ) ), Y ) ) ] )
% 0.87/1.25 , clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 0.87/1.25 , identity ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 paramod(
% 0.87/1.25 clause( 3218, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 0.87/1.25 identity, X ) ) ] )
% 0.87/1.25 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.87/1.25 , 0, clause( 3215, [ =( multiply( X, identity ), multiply( multiply( X,
% 0.87/1.25 inverse( Y ) ), Y ) ) ] )
% 0.87/1.25 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.87/1.25 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 paramod(
% 0.87/1.25 clause( 3219, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.87/1.25 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.87/1.25 , 0, clause( 3218, [ =( multiply( inverse( inverse( X ) ), identity ),
% 0.87/1.25 multiply( identity, X ) ) ] )
% 0.87/1.25 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.87/1.25 ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 161, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.87/1.25 , clause( 3219, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 0.87/1.25 )
% 0.87/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 eqswap(
% 0.87/1.25 clause( 3222, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 0.87/1.25 ) ] )
% 0.87/1.25 , clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 0.87/1.25 ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 paramod(
% 0.87/1.25 clause( 3225, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.87/1.25 ) ] )
% 0.87/1.25 , clause( 161, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.87/1.25 , 0, clause( 3222, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 0.87/1.25 , Y ) ) ] )
% 0.87/1.25 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.87/1.25 inverse( X ) ) ), :=( Y, Y )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 166, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.87/1.25 ) ] )
% 0.87/1.25 , clause( 3225, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.87/1.25 ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.25 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 eqswap(
% 0.87/1.25 clause( 3232, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.87/1.25 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.87/1.25 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 0.87/1.25 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 paramod(
% 0.87/1.25 clause( 3235, [ =( multiply( inverse( inverse( X ) ),
% 0.87/1.25 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 0.87/1.25 multiply( inverse( inverse( X ) ), Y ) ) ) ] )
% 0.87/1.25 , clause( 161, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.87/1.25 , 0, clause( 3232, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.87/1.25 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.87/1.25 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.87/1.25 inverse( X ) ) ), :=( Y, identity ), :=( Z, Y )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 paramod(
% 0.87/1.25 clause( 3245, [ =( multiply( inverse( inverse( X ) ),
% 0.87/1.25 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 0.87/1.25 multiply( X, Y ) ) ) ] )
% 0.87/1.25 , clause( 166, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.87/1.25 ) ) ] )
% 0.87/1.25 , 0, clause( 3235, [ =( multiply( inverse( inverse( X ) ),
% 0.87/1.25 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 0.87/1.25 multiply( inverse( inverse( X ) ), Y ) ) ) ] )
% 0.87/1.25 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.87/1.25 :=( X, X ), :=( Y, Y )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 paramod(
% 0.87/1.25 clause( 3247, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 0.87/1.25 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 0.87/1.25 , clause( 166, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.87/1.25 ) ) ] )
% 0.87/1.25 , 0, clause( 3245, [ =( multiply( inverse( inverse( X ) ),
% 0.87/1.25 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 0.87/1.25 multiply( X, Y ) ) ) ] )
% 0.87/1.25 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'(
% 0.87/1.25 identity, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 eqswap(
% 0.87/1.25 clause( 3248, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 0.87/1.25 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.87/1.25 , clause( 3247, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 0.87/1.25 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 167, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 0.87/1.25 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.87/1.25 , clause( 3248, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 0.87/1.25 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.25 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 eqswap(
% 0.87/1.25 clause( 3249, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 0.87/1.25 ) ] )
% 0.87/1.25 , clause( 166, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.87/1.25 ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 paramod(
% 0.87/1.25 clause( 3252, [ =( multiply( X, identity ), X ) ] )
% 0.87/1.25 , clause( 161, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.87/1.25 , 0, clause( 3249, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 0.87/1.25 , Y ) ) ] )
% 0.87/1.25 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.87/1.25 :=( Y, identity )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 286, [ =( multiply( X, identity ), X ) ] )
% 0.87/1.25 , clause( 3252, [ =( multiply( X, identity ), X ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 eqswap(
% 0.87/1.25 clause( 3258, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 0.87/1.25 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 0.87/1.25 , clause( 167, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 0.87/1.25 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 paramod(
% 0.87/1.25 clause( 3260, [ =( multiply( X, identity ), 'greatest_lower_bound'( X,
% 0.87/1.25 multiply( X, b ) ) ) ] )
% 0.87/1.25 , clause( 15, [ =( 'greatest_lower_bound'( identity, b ), identity ) ] )
% 0.87/1.25 , 0, clause( 3258, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 0.87/1.25 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 0.87/1.25 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, b )] )
% 0.87/1.25 ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 paramod(
% 0.87/1.25 clause( 3261, [ =( X, 'greatest_lower_bound'( X, multiply( X, b ) ) ) ] )
% 0.87/1.25 , clause( 286, [ =( multiply( X, identity ), X ) ] )
% 0.87/1.25 , 0, clause( 3260, [ =( multiply( X, identity ), 'greatest_lower_bound'( X
% 0.87/1.25 , multiply( X, b ) ) ) ] )
% 0.87/1.25 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.87/1.25 ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 eqswap(
% 0.87/1.25 clause( 3262, [ =( 'greatest_lower_bound'( X, multiply( X, b ) ), X ) ] )
% 0.87/1.25 , clause( 3261, [ =( X, 'greatest_lower_bound'( X, multiply( X, b ) ) ) ]
% 0.87/1.25 )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, X )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 808, [ =( 'greatest_lower_bound'( X, multiply( X, b ) ), X ) ] )
% 0.87/1.25 , clause( 3262, [ =( 'greatest_lower_bound'( X, multiply( X, b ) ), X ) ]
% 0.87/1.25 )
% 0.87/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 eqswap(
% 0.87/1.25 clause( 3264, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 0.87/1.25 ) ) ) ] )
% 0.87/1.25 , clause( 41, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 0.87/1.25 , X ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 paramod(
% 0.87/1.25 clause( 3265, [ =( multiply( X, b ), 'least_upper_bound'( multiply( X, b )
% 0.87/1.25 , X ) ) ] )
% 0.87/1.25 , clause( 808, [ =( 'greatest_lower_bound'( X, multiply( X, b ) ), X ) ] )
% 0.87/1.25 , 0, clause( 3264, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 0.87/1.25 Y, X ) ) ) ] )
% 0.87/1.25 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.87/1.25 multiply( X, b ) ), :=( Y, X )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 eqswap(
% 0.87/1.25 clause( 3266, [ =( 'least_upper_bound'( multiply( X, b ), X ), multiply( X
% 0.87/1.25 , b ) ) ] )
% 0.87/1.25 , clause( 3265, [ =( multiply( X, b ), 'least_upper_bound'( multiply( X, b
% 0.87/1.25 ), X ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, X )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 837, [ =( 'least_upper_bound'( multiply( X, b ), X ), multiply( X,
% 0.87/1.25 b ) ) ] )
% 0.87/1.25 , clause( 3266, [ =( 'least_upper_bound'( multiply( X, b ), X ), multiply(
% 0.87/1.25 X, b ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 eqswap(
% 0.87/1.25 clause( 3268, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 0.87/1.25 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 0.87/1.25 , clause( 98, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 0.87/1.25 'least_upper_bound'( Y, identity ), X ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 paramod(
% 0.87/1.25 clause( 3274, [ =( multiply( multiply( identity, b ), X ),
% 0.87/1.25 'least_upper_bound'( multiply( multiply( identity, b ), X ), X ) ) ] )
% 0.87/1.25 , clause( 837, [ =( 'least_upper_bound'( multiply( X, b ), X ), multiply( X
% 0.87/1.25 , b ) ) ] )
% 0.87/1.25 , 0, clause( 3268, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 0.87/1.25 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 0.87/1.25 , 0, 2, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.87/1.25 multiply( identity, b ) ), :=( Y, X )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 paramod(
% 0.87/1.25 clause( 3277, [ =( multiply( multiply( identity, b ), X ),
% 0.87/1.25 'least_upper_bound'( multiply( b, X ), X ) ) ] )
% 0.87/1.25 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.87/1.25 , 0, clause( 3274, [ =( multiply( multiply( identity, b ), X ),
% 0.87/1.25 'least_upper_bound'( multiply( multiply( identity, b ), X ), X ) ) ] )
% 0.87/1.25 , 0, 8, substitution( 0, [ :=( X, b )] ), substitution( 1, [ :=( X, X )] )
% 0.87/1.25 ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 paramod(
% 0.87/1.25 clause( 3278, [ =( multiply( b, X ), 'least_upper_bound'( multiply( b, X )
% 0.87/1.25 , X ) ) ] )
% 0.87/1.25 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.87/1.25 , 0, clause( 3277, [ =( multiply( multiply( identity, b ), X ),
% 0.87/1.25 'least_upper_bound'( multiply( b, X ), X ) ) ] )
% 0.87/1.25 , 0, 2, substitution( 0, [ :=( X, b )] ), substitution( 1, [ :=( X, X )] )
% 0.87/1.25 ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 eqswap(
% 0.87/1.25 clause( 3280, [ =( 'least_upper_bound'( multiply( b, X ), X ), multiply( b
% 0.87/1.25 , X ) ) ] )
% 0.87/1.25 , clause( 3278, [ =( multiply( b, X ), 'least_upper_bound'( multiply( b, X
% 0.87/1.25 ), X ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, X )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 2356, [ =( 'least_upper_bound'( multiply( b, X ), X ), multiply( b
% 0.87/1.25 , X ) ) ] )
% 0.87/1.25 , clause( 3280, [ =( 'least_upper_bound'( multiply( b, X ), X ), multiply(
% 0.87/1.25 b, X ) ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 eqswap(
% 0.87/1.25 clause( 3283, [ =( Y, 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 0.87/1.25 Y ) ) ] )
% 0.87/1.25 , clause( 32, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 0.87/1.25 , X ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 paramod(
% 0.87/1.25 clause( 3284, [ =( X, 'greatest_lower_bound'( multiply( b, X ), X ) ) ] )
% 0.87/1.25 , clause( 2356, [ =( 'least_upper_bound'( multiply( b, X ), X ), multiply(
% 0.87/1.25 b, X ) ) ] )
% 0.87/1.25 , 0, clause( 3283, [ =( Y, 'greatest_lower_bound'( 'least_upper_bound'( X,
% 0.87/1.25 Y ), Y ) ) ] )
% 0.87/1.25 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.87/1.25 multiply( b, X ) ), :=( Y, X )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 eqswap(
% 0.87/1.25 clause( 3285, [ =( 'greatest_lower_bound'( multiply( b, X ), X ), X ) ] )
% 0.87/1.25 , clause( 3284, [ =( X, 'greatest_lower_bound'( multiply( b, X ), X ) ) ]
% 0.87/1.25 )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, X )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 2455, [ =( 'greatest_lower_bound'( multiply( b, X ), X ), X ) ] )
% 0.87/1.25 , clause( 3285, [ =( 'greatest_lower_bound'( multiply( b, X ), X ), X ) ]
% 0.87/1.25 )
% 0.87/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 eqswap(
% 0.87/1.25 clause( 3287, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) )
% 0.87/1.25 , 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 0.87/1.25 , clause( 80, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 0.87/1.25 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 0.87/1.25 )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 paramod(
% 0.87/1.25 clause( 3290, [ =( multiply( inverse( X ), X ), 'greatest_lower_bound'(
% 0.87/1.25 multiply( inverse( X ), multiply( b, X ) ), identity ) ) ] )
% 0.87/1.25 , clause( 2455, [ =( 'greatest_lower_bound'( multiply( b, X ), X ), X ) ]
% 0.87/1.25 )
% 0.87/1.25 , 0, clause( 3287, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y,
% 0.87/1.25 X ) ), 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) )
% 0.87/1.25 ] )
% 0.87/1.25 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.87/1.25 :=( Y, multiply( b, X ) )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 paramod(
% 0.87/1.25 clause( 3291, [ =( multiply( inverse( X ), X ), 'greatest_lower_bound'(
% 0.87/1.25 multiply( multiply( inverse( X ), b ), X ), identity ) ) ] )
% 0.87/1.25 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.87/1.25 ), Z ) ) ] )
% 0.87/1.25 , 0, clause( 3290, [ =( multiply( inverse( X ), X ), 'greatest_lower_bound'(
% 0.87/1.25 multiply( inverse( X ), multiply( b, X ) ), identity ) ) ] )
% 0.87/1.25 , 0, 6, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, b ), :=( Z, X )] )
% 0.87/1.25 , substitution( 1, [ :=( X, X )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 paramod(
% 0.87/1.25 clause( 3292, [ =( identity, 'greatest_lower_bound'( multiply( multiply(
% 0.87/1.25 inverse( X ), b ), X ), identity ) ) ] )
% 0.87/1.25 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.87/1.25 , 0, clause( 3291, [ =( multiply( inverse( X ), X ), 'greatest_lower_bound'(
% 0.87/1.25 multiply( multiply( inverse( X ), b ), X ), identity ) ) ] )
% 0.87/1.25 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.87/1.25 ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 eqswap(
% 0.87/1.25 clause( 3293, [ =( 'greatest_lower_bound'( multiply( multiply( inverse( X )
% 0.87/1.25 , b ), X ), identity ), identity ) ] )
% 0.87/1.25 , clause( 3292, [ =( identity, 'greatest_lower_bound'( multiply( multiply(
% 0.87/1.25 inverse( X ), b ), X ), identity ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [ :=( X, X )] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 2485, [ =( 'greatest_lower_bound'( multiply( multiply( inverse( X )
% 0.87/1.25 , b ), X ), identity ), identity ) ] )
% 0.87/1.25 , clause( 3293, [ =( 'greatest_lower_bound'( multiply( multiply( inverse( X
% 0.87/1.25 ), b ), X ), identity ), identity ) ] )
% 0.87/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 paramod(
% 0.87/1.25 clause( 3296, [ ~( =( identity, identity ) ) ] )
% 0.87/1.25 , clause( 2485, [ =( 'greatest_lower_bound'( multiply( multiply( inverse( X
% 0.87/1.25 ), b ), X ), identity ), identity ) ] )
% 0.87/1.25 , 0, clause( 131, [ ~( =( 'greatest_lower_bound'( multiply( multiply(
% 0.87/1.25 inverse( a ), b ), a ), identity ), identity ) ) ] )
% 0.87/1.25 , 0, 2, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 eqrefl(
% 0.87/1.25 clause( 3297, [] )
% 0.87/1.25 , clause( 3296, [ ~( =( identity, identity ) ) ] )
% 0.87/1.25 , 0, substitution( 0, [] )).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 subsumption(
% 0.87/1.25 clause( 3038, [] )
% 0.87/1.25 , clause( 3297, [] )
% 0.87/1.25 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 end.
% 0.87/1.25
% 0.87/1.25 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.87/1.25
% 0.87/1.25 Memory use:
% 0.87/1.25
% 0.87/1.25 space for terms: 39279
% 0.87/1.25 space for clauses: 323071
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 clauses generated: 39831
% 0.87/1.25 clauses kept: 3039
% 0.87/1.25 clauses selected: 315
% 0.87/1.25 clauses deleted: 27
% 0.87/1.25 clauses inuse deleted: 11
% 0.87/1.25
% 0.87/1.25 subsentry: 5280
% 0.87/1.25 literals s-matched: 4715
% 0.87/1.25 literals matched: 4699
% 0.87/1.25 full subsumption: 0
% 0.87/1.25
% 0.87/1.25 checksum: 919540244
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 Bliksem ended
%------------------------------------------------------------------------------