TSTP Solution File: GRP175-3 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP175-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 0.52s 1.02s
% Output : Refutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : GRP175-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.08/0.09 % Command : bliksem %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % DateTime : Tue Jun 14 05:48:42 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.52/1.02 *** allocated 10000 integers for termspace/termends
% 0.52/1.02 *** allocated 10000 integers for clauses
% 0.52/1.02 *** allocated 10000 integers for justifications
% 0.52/1.02 Bliksem 1.12
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 Automatic Strategy Selection
% 0.52/1.02
% 0.52/1.02 Clauses:
% 0.52/1.02 [
% 0.52/1.02 [ =( multiply( identity, X ), X ) ],
% 0.52/1.02 [ =( multiply( inverse( X ), X ), identity ) ],
% 0.52/1.02 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.52/1.02 ],
% 0.52/1.02 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 0.52/1.02 ,
% 0.52/1.02 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 0.52/1.02 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.52/1.02 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 0.52/1.02 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.52/1.02 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 0.52/1.02 [ =( 'least_upper_bound'( X, X ), X ) ],
% 0.52/1.02 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 0.52/1.02 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 0.52/1.02 ,
% 0.52/1.02 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 0.52/1.02 ,
% 0.52/1.02 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 0.52/1.02 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.52/1.02 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.52/1.02 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.52/1.02 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 0.52/1.02 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.52/1.02 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.52/1.02 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.52/1.02 [ =( 'least_upper_bound'( identity, b ), b ) ],
% 0.52/1.02 [ ~( =( 'greatest_lower_bound'( identity, multiply( inverse( a ),
% 0.52/1.02 multiply( b, a ) ) ), identity ) ) ]
% 0.52/1.02 ] .
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 percentage equality = 1.000000, percentage horn = 1.000000
% 0.52/1.02 This is a pure equality problem
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 Options Used:
% 0.52/1.02
% 0.52/1.02 useres = 1
% 0.52/1.02 useparamod = 1
% 0.52/1.02 useeqrefl = 1
% 0.52/1.02 useeqfact = 1
% 0.52/1.02 usefactor = 1
% 0.52/1.02 usesimpsplitting = 0
% 0.52/1.02 usesimpdemod = 5
% 0.52/1.02 usesimpres = 3
% 0.52/1.02
% 0.52/1.02 resimpinuse = 1000
% 0.52/1.02 resimpclauses = 20000
% 0.52/1.02 substype = eqrewr
% 0.52/1.02 backwardsubs = 1
% 0.52/1.02 selectoldest = 5
% 0.52/1.02
% 0.52/1.02 litorderings [0] = split
% 0.52/1.02 litorderings [1] = extend the termordering, first sorting on arguments
% 0.52/1.02
% 0.52/1.02 termordering = kbo
% 0.52/1.02
% 0.52/1.02 litapriori = 0
% 0.52/1.02 termapriori = 1
% 0.52/1.02 litaposteriori = 0
% 0.52/1.02 termaposteriori = 0
% 0.52/1.02 demodaposteriori = 0
% 0.52/1.02 ordereqreflfact = 0
% 0.52/1.02
% 0.52/1.02 litselect = negord
% 0.52/1.02
% 0.52/1.02 maxweight = 15
% 0.52/1.02 maxdepth = 30000
% 0.52/1.02 maxlength = 115
% 0.52/1.02 maxnrvars = 195
% 0.52/1.02 excuselevel = 1
% 0.52/1.02 increasemaxweight = 1
% 0.52/1.02
% 0.52/1.02 maxselected = 10000000
% 0.52/1.02 maxnrclauses = 10000000
% 0.52/1.02
% 0.52/1.02 showgenerated = 0
% 0.52/1.02 showkept = 0
% 0.52/1.02 showselected = 0
% 0.52/1.02 showdeleted = 0
% 0.52/1.02 showresimp = 1
% 0.52/1.02 showstatus = 2000
% 0.52/1.02
% 0.52/1.02 prologoutput = 1
% 0.52/1.02 nrgoals = 5000000
% 0.52/1.02 totalproof = 1
% 0.52/1.02
% 0.52/1.02 Symbols occurring in the translation:
% 0.52/1.02
% 0.52/1.02 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.52/1.02 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.52/1.02 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.52/1.02 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.52/1.02 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.52/1.02 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.52/1.02 multiply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.52/1.02 inverse [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.52/1.02 'greatest_lower_bound' [45, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.52/1.02 'least_upper_bound' [46, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.52/1.02 b [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.52/1.02 a [48, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 Starting Search:
% 0.52/1.02
% 0.52/1.02 Resimplifying inuse:
% 0.52/1.02 Done
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 Intermediate Status:
% 0.52/1.02 Generated: 26486
% 0.52/1.02 Kept: 2004
% 0.52/1.02 Inuse: 249
% 0.52/1.02 Deleted: 18
% 0.52/1.02 Deletedinuse: 6
% 0.52/1.02
% 0.52/1.02 Resimplifying inuse:
% 0.52/1.02 Done
% 0.52/1.02
% 0.52/1.02 Resimplifying inuse:
% 0.52/1.02
% 0.52/1.02 Bliksems!, er is een bewijs:
% 0.52/1.02 % SZS status Unsatisfiable
% 0.52/1.02 % SZS output start Refutation
% 0.52/1.02
% 0.52/1.02 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.52/1.02 , Z ) ) ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 0.52/1.02 X ) ) ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 0.52/1.02 ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 0.52/1.02 ) ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 0.52/1.02 X ) ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 0.52/1.02 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 0.52/1.02 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 15, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 16, [ ~( =( 'greatest_lower_bound'( identity, multiply( multiply(
% 0.52/1.02 inverse( a ), b ), a ) ), identity ) ) ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.52/1.02 identity ) ) ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.52/1.02 ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 0.52/1.02 X ) ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 23, [ =( 'greatest_lower_bound'( identity, b ), identity ) ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 52, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 0.52/1.02 X ) ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 56, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 0.52/1.02 X ) ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 80, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 0.52/1.02 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 0.52/1.02 )
% 0.52/1.02 .
% 0.52/1.02 clause( 95, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 0.52/1.02 'least_upper_bound'( identity, Y ), X ) ) ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 128, [ ~( =( 'greatest_lower_bound'( multiply( multiply( inverse( a
% 0.52/1.02 ), b ), a ), identity ), identity ) ) ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 159, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 164, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.52/1.02 ) ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 165, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 0.52/1.02 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 280, [ =( multiply( X, identity ), X ) ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 784, [ =( 'greatest_lower_bound'( X, multiply( X, b ) ), X ) ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 817, [ =( 'least_upper_bound'( X, multiply( X, b ) ), multiply( X,
% 0.52/1.02 b ) ) ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 2092, [ =( 'least_upper_bound'( X, multiply( b, X ) ), multiply( b
% 0.52/1.02 , X ) ) ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 2221, [ =( 'greatest_lower_bound'( multiply( b, X ), X ), X ) ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 2227, [ =( 'greatest_lower_bound'( multiply( multiply( inverse( X )
% 0.52/1.02 , b ), X ), identity ), identity ) ] )
% 0.52/1.02 .
% 0.52/1.02 clause( 3031, [] )
% 0.52/1.02 .
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 % SZS output end Refutation
% 0.52/1.02 found a proof!
% 0.52/1.02
% 0.52/1.02 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.52/1.02
% 0.52/1.02 initialclauses(
% 0.52/1.02 [ clause( 3033, [ =( multiply( identity, X ), X ) ] )
% 0.52/1.02 , clause( 3034, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.52/1.02 , clause( 3035, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.52/1.02 Y, Z ) ) ) ] )
% 0.52/1.02 , clause( 3036, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.52/1.02 Y, X ) ) ] )
% 0.52/1.02 , clause( 3037, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.52/1.02 ) ) ] )
% 0.52/1.02 , clause( 3038, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y,
% 0.52/1.02 Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.52/1.02 , clause( 3039, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 0.52/1.02 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.52/1.02 , clause( 3040, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 0.52/1.02 , clause( 3041, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 0.52/1.02 , clause( 3042, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y )
% 0.52/1.02 ), X ) ] )
% 0.52/1.02 , clause( 3043, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y )
% 0.52/1.02 ), X ) ] )
% 0.52/1.02 , clause( 3044, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.52/1.02 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.52/1.02 , clause( 3045, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.52/1.02 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.52/1.02 , clause( 3046, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 0.52/1.02 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.52/1.02 , clause( 3047, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.52/1.02 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.52/1.02 , clause( 3048, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 0.52/1.02 , clause( 3049, [ ~( =( 'greatest_lower_bound'( identity, multiply( inverse(
% 0.52/1.02 a ), multiply( b, a ) ) ), identity ) ) ] )
% 0.52/1.02 ] ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.52/1.02 , clause( 3033, [ =( multiply( identity, X ), X ) ] )
% 0.52/1.02 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.52/1.02 , clause( 3034, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.52/1.02 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3055, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X,
% 0.52/1.02 Y ), Z ) ) ] )
% 0.52/1.02 , clause( 3035, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.52/1.02 Y, Z ) ) ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.52/1.02 , Z ) ) ] )
% 0.52/1.02 , clause( 3055, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.52/1.02 , Y ), Z ) ) ] )
% 0.52/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.52/1.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 0.52/1.02 X ) ) ] )
% 0.52/1.02 , clause( 3036, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.52/1.02 Y, X ) ) ] )
% 0.52/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.52/1.02 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 0.52/1.02 ] )
% 0.52/1.02 , clause( 3037, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.52/1.02 ) ) ] )
% 0.52/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.52/1.02 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 0.52/1.02 ) ] )
% 0.52/1.02 , clause( 3042, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y )
% 0.52/1.02 ), X ) ] )
% 0.52/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.52/1.02 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 0.52/1.02 X ) ] )
% 0.52/1.02 , clause( 3043, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y )
% 0.52/1.02 ), X ) ] )
% 0.52/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.52/1.02 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3089, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 0.52/1.02 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.52/1.02 , clause( 3045, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.52/1.02 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 0.52/1.02 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.52/1.02 , clause( 3089, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 0.52/1.02 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.52/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.52/1.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3101, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 0.52/1.02 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.52/1.02 , clause( 3046, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 0.52/1.02 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 0.52/1.02 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.52/1.02 , clause( 3101, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 0.52/1.02 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.52/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.52/1.02 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 15, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 0.52/1.02 , clause( 3048, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 0.52/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3150, [ ~( =( 'greatest_lower_bound'( identity, multiply( multiply(
% 0.52/1.02 inverse( a ), b ), a ) ), identity ) ) ] )
% 0.52/1.02 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.52/1.02 ), Z ) ) ] )
% 0.52/1.02 , 0, clause( 3049, [ ~( =( 'greatest_lower_bound'( identity, multiply(
% 0.52/1.02 inverse( a ), multiply( b, a ) ) ), identity ) ) ] )
% 0.52/1.02 , 0, 4, substitution( 0, [ :=( X, inverse( a ) ), :=( Y, b ), :=( Z, a )] )
% 0.52/1.02 , substitution( 1, [] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 16, [ ~( =( 'greatest_lower_bound'( identity, multiply( multiply(
% 0.52/1.02 inverse( a ), b ), a ) ), identity ) ) ] )
% 0.52/1.02 , clause( 3150, [ ~( =( 'greatest_lower_bound'( identity, multiply(
% 0.52/1.02 multiply( inverse( a ), b ), a ) ), identity ) ) ] )
% 0.52/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3153, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.52/1.02 Y, Z ) ) ) ] )
% 0.52/1.02 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.52/1.02 ), Z ) ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3158, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 0.52/1.02 , identity ) ) ] )
% 0.52/1.02 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.52/1.02 , 0, clause( 3153, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.52/1.02 multiply( Y, Z ) ) ) ] )
% 0.52/1.02 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.52/1.02 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.52/1.02 identity ) ) ] )
% 0.52/1.02 , clause( 3158, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 0.52/1.02 X, identity ) ) ] )
% 0.52/1.02 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.52/1.02 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3163, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.52/1.02 Y, Z ) ) ) ] )
% 0.52/1.02 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.52/1.02 ), Z ) ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3168, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.52/1.02 ) ] )
% 0.52/1.02 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.52/1.02 , 0, clause( 3163, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.52/1.02 multiply( Y, Z ) ) ) ] )
% 0.52/1.02 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.52/1.02 :=( Y, identity ), :=( Z, Y )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.52/1.02 ] )
% 0.52/1.02 , clause( 3168, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 0.52/1.02 ) ) ] )
% 0.52/1.02 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.52/1.02 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3173, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 0.52/1.02 ) ) ) ] )
% 0.52/1.02 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 0.52/1.02 , X ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3174, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 0.52/1.02 X ) ) ] )
% 0.52/1.02 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 0.52/1.02 , X ) ) ] )
% 0.52/1.02 , 0, clause( 3173, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 0.52/1.02 X, Y ) ) ) ] )
% 0.52/1.02 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 0.52/1.02 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3177, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 0.52/1.02 , X ) ] )
% 0.52/1.02 , clause( 3174, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 0.52/1.02 , X ) ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 0.52/1.02 X ) ] )
% 0.52/1.02 , clause( 3177, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 0.52/1.02 ), X ) ] )
% 0.52/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.52/1.02 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3179, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 0.52/1.02 ) ) ) ] )
% 0.52/1.02 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 0.52/1.02 , X ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3180, [ =( identity, 'greatest_lower_bound'( identity, b ) ) ] )
% 0.52/1.02 , clause( 15, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 0.52/1.02 , 0, clause( 3179, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 0.52/1.02 X, Y ) ) ) ] )
% 0.52/1.02 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 0.52/1.02 , b )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3181, [ =( 'greatest_lower_bound'( identity, b ), identity ) ] )
% 0.52/1.02 , clause( 3180, [ =( identity, 'greatest_lower_bound'( identity, b ) ) ] )
% 0.52/1.02 , 0, substitution( 0, [] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 23, [ =( 'greatest_lower_bound'( identity, b ), identity ) ] )
% 0.52/1.02 , clause( 3181, [ =( 'greatest_lower_bound'( identity, b ), identity ) ] )
% 0.52/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3182, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 0.52/1.02 ) ) ) ] )
% 0.52/1.02 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 0.52/1.02 , X ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3183, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 0.52/1.02 ) ) ) ] )
% 0.52/1.02 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 0.52/1.02 , X ) ) ] )
% 0.52/1.02 , 0, clause( 3182, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 0.52/1.02 X, Y ) ) ) ] )
% 0.52/1.02 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.52/1.02 :=( X, X ), :=( Y, Y )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3186, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 0.52/1.02 , X ) ] )
% 0.52/1.02 , clause( 3183, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y,
% 0.52/1.02 X ) ) ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 52, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 0.52/1.02 X ) ] )
% 0.52/1.02 , clause( 3186, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 0.52/1.02 ), X ) ] )
% 0.52/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.52/1.02 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3187, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 0.52/1.02 ) ) ) ] )
% 0.52/1.02 , clause( 52, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 0.52/1.02 , X ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3188, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X ),
% 0.52/1.02 X ) ) ] )
% 0.52/1.02 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 0.52/1.02 ) ] )
% 0.52/1.02 , 0, clause( 3187, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 0.52/1.02 Y, X ) ) ) ] )
% 0.52/1.02 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'( Y, X
% 0.52/1.02 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3191, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 0.52/1.02 , X ) ] )
% 0.52/1.02 , clause( 3188, [ =( X, 'least_upper_bound'( 'greatest_lower_bound'( Y, X )
% 0.52/1.02 , X ) ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 56, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X ),
% 0.52/1.02 X ) ] )
% 0.52/1.02 , clause( 3191, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X
% 0.52/1.02 ), X ) ] )
% 0.52/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.52/1.02 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3193, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.52/1.02 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.52/1.02 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 0.52/1.02 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3196, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) )
% 0.52/1.02 , 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 0.52/1.02 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.52/1.02 , 0, clause( 3193, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.52/1.02 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.52/1.02 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.52/1.02 inverse( X ) ), :=( Y, Y ), :=( Z, X )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3199, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 0.52/1.02 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 0.52/1.02 )
% 0.52/1.02 , clause( 3196, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y, X )
% 0.52/1.02 ), 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) ) ]
% 0.52/1.02 )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 80, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 0.52/1.02 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 0.52/1.02 )
% 0.52/1.02 , clause( 3199, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 0.52/1.02 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 0.52/1.02 )
% 0.52/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.52/1.02 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3201, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 0.52/1.02 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 0.52/1.02 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 0.52/1.02 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3202, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 0.52/1.02 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 0.52/1.02 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.52/1.02 , 0, clause( 3201, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 0.52/1.02 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 0.52/1.02 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X,
% 0.52/1.02 identity ), :=( Y, Y ), :=( Z, X )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3204, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 0.52/1.02 'least_upper_bound'( identity, X ), Y ) ) ] )
% 0.52/1.02 , clause( 3202, [ =( multiply( 'least_upper_bound'( identity, X ), Y ),
% 0.52/1.02 'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 95, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 0.52/1.02 'least_upper_bound'( identity, Y ), X ) ) ] )
% 0.52/1.02 , clause( 3204, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply(
% 0.52/1.02 'least_upper_bound'( identity, X ), Y ) ) ] )
% 0.52/1.02 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.52/1.02 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3206, [ ~( =( identity, 'greatest_lower_bound'( identity, multiply(
% 0.52/1.02 multiply( inverse( a ), b ), a ) ) ) ) ] )
% 0.52/1.02 , clause( 16, [ ~( =( 'greatest_lower_bound'( identity, multiply( multiply(
% 0.52/1.02 inverse( a ), b ), a ) ), identity ) ) ] )
% 0.52/1.02 , 0, substitution( 0, [] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3207, [ ~( =( identity, 'greatest_lower_bound'( multiply( multiply(
% 0.52/1.02 inverse( a ), b ), a ), identity ) ) ) ] )
% 0.52/1.02 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 0.52/1.02 , X ) ) ] )
% 0.52/1.02 , 0, clause( 3206, [ ~( =( identity, 'greatest_lower_bound'( identity,
% 0.52/1.02 multiply( multiply( inverse( a ), b ), a ) ) ) ) ] )
% 0.52/1.02 , 0, 3, substitution( 0, [ :=( X, identity ), :=( Y, multiply( multiply(
% 0.52/1.02 inverse( a ), b ), a ) )] ), substitution( 1, [] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3210, [ ~( =( 'greatest_lower_bound'( multiply( multiply( inverse(
% 0.52/1.02 a ), b ), a ), identity ), identity ) ) ] )
% 0.52/1.02 , clause( 3207, [ ~( =( identity, 'greatest_lower_bound'( multiply(
% 0.52/1.02 multiply( inverse( a ), b ), a ), identity ) ) ) ] )
% 0.52/1.02 , 0, substitution( 0, [] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 128, [ ~( =( 'greatest_lower_bound'( multiply( multiply( inverse( a
% 0.52/1.02 ), b ), a ), identity ), identity ) ) ] )
% 0.52/1.02 , clause( 3210, [ ~( =( 'greatest_lower_bound'( multiply( multiply( inverse(
% 0.52/1.02 a ), b ), a ), identity ), identity ) ) ] )
% 0.52/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3212, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 0.52/1.02 Y ) ), Y ) ) ] )
% 0.52/1.02 , clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 0.52/1.02 , identity ) ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3215, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 0.52/1.02 identity, X ) ) ] )
% 0.52/1.02 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.52/1.02 , 0, clause( 3212, [ =( multiply( X, identity ), multiply( multiply( X,
% 0.52/1.02 inverse( Y ) ), Y ) ) ] )
% 0.52/1.02 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.52/1.02 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3216, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.52/1.02 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.52/1.02 , 0, clause( 3215, [ =( multiply( inverse( inverse( X ) ), identity ),
% 0.52/1.02 multiply( identity, X ) ) ] )
% 0.52/1.02 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.52/1.02 ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 159, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.52/1.02 , clause( 3216, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 0.52/1.02 )
% 0.52/1.02 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3219, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 0.52/1.02 ) ] )
% 0.52/1.02 , clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 0.52/1.02 ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3222, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.52/1.02 ) ] )
% 0.52/1.02 , clause( 159, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.52/1.02 , 0, clause( 3219, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 0.52/1.02 , Y ) ) ] )
% 0.52/1.02 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.52/1.02 inverse( X ) ) ), :=( Y, Y )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 164, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.52/1.02 ) ] )
% 0.52/1.02 , clause( 3222, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.52/1.02 ) ) ] )
% 0.52/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.52/1.02 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3229, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.52/1.02 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.52/1.02 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 0.52/1.02 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3232, [ =( multiply( inverse( inverse( X ) ),
% 0.52/1.02 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 0.52/1.02 multiply( inverse( inverse( X ) ), Y ) ) ) ] )
% 0.52/1.02 , clause( 159, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.52/1.02 , 0, clause( 3229, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.52/1.02 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.52/1.02 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.52/1.02 inverse( X ) ) ), :=( Y, identity ), :=( Z, Y )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3242, [ =( multiply( inverse( inverse( X ) ),
% 0.52/1.02 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 0.52/1.02 multiply( X, Y ) ) ) ] )
% 0.52/1.02 , clause( 164, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.52/1.02 ) ) ] )
% 0.52/1.02 , 0, clause( 3232, [ =( multiply( inverse( inverse( X ) ),
% 0.52/1.02 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 0.52/1.02 multiply( inverse( inverse( X ) ), Y ) ) ) ] )
% 0.52/1.02 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.52/1.02 :=( X, X ), :=( Y, Y )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3244, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 0.52/1.02 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 0.52/1.02 , clause( 164, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.52/1.02 ) ) ] )
% 0.52/1.02 , 0, clause( 3242, [ =( multiply( inverse( inverse( X ) ),
% 0.52/1.02 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 0.52/1.02 multiply( X, Y ) ) ) ] )
% 0.52/1.02 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'(
% 0.52/1.02 identity, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3245, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 0.52/1.02 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.52/1.02 , clause( 3244, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 0.52/1.02 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 165, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 0.52/1.02 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.52/1.02 , clause( 3245, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 0.52/1.02 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.52/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.52/1.02 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3246, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 0.52/1.02 ) ] )
% 0.52/1.02 , clause( 164, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.52/1.02 ) ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3249, [ =( multiply( X, identity ), X ) ] )
% 0.52/1.02 , clause( 159, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.52/1.02 , 0, clause( 3246, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 0.52/1.02 , Y ) ) ] )
% 0.52/1.02 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.52/1.02 :=( Y, identity )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 280, [ =( multiply( X, identity ), X ) ] )
% 0.52/1.02 , clause( 3249, [ =( multiply( X, identity ), X ) ] )
% 0.52/1.02 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3255, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 0.52/1.02 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 0.52/1.02 , clause( 165, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 0.52/1.02 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3257, [ =( multiply( X, identity ), 'greatest_lower_bound'( X,
% 0.52/1.02 multiply( X, b ) ) ) ] )
% 0.52/1.02 , clause( 23, [ =( 'greatest_lower_bound'( identity, b ), identity ) ] )
% 0.52/1.02 , 0, clause( 3255, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 0.52/1.02 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 0.52/1.02 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, b )] )
% 0.52/1.02 ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3258, [ =( X, 'greatest_lower_bound'( X, multiply( X, b ) ) ) ] )
% 0.52/1.02 , clause( 280, [ =( multiply( X, identity ), X ) ] )
% 0.52/1.02 , 0, clause( 3257, [ =( multiply( X, identity ), 'greatest_lower_bound'( X
% 0.52/1.02 , multiply( X, b ) ) ) ] )
% 0.52/1.02 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.52/1.02 ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3259, [ =( 'greatest_lower_bound'( X, multiply( X, b ) ), X ) ] )
% 0.52/1.02 , clause( 3258, [ =( X, 'greatest_lower_bound'( X, multiply( X, b ) ) ) ]
% 0.52/1.02 )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 784, [ =( 'greatest_lower_bound'( X, multiply( X, b ) ), X ) ] )
% 0.52/1.02 , clause( 3259, [ =( 'greatest_lower_bound'( X, multiply( X, b ) ), X ) ]
% 0.52/1.02 )
% 0.52/1.02 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3261, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X, Y ),
% 0.52/1.02 Y ) ) ] )
% 0.52/1.02 , clause( 56, [ =( 'least_upper_bound'( 'greatest_lower_bound'( Y, X ), X )
% 0.52/1.02 , X ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3262, [ =( multiply( X, b ), 'least_upper_bound'( X, multiply( X, b
% 0.52/1.02 ) ) ) ] )
% 0.52/1.02 , clause( 784, [ =( 'greatest_lower_bound'( X, multiply( X, b ) ), X ) ] )
% 0.52/1.02 , 0, clause( 3261, [ =( Y, 'least_upper_bound'( 'greatest_lower_bound'( X,
% 0.52/1.02 Y ), Y ) ) ] )
% 0.52/1.02 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.52/1.02 :=( Y, multiply( X, b ) )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3263, [ =( 'least_upper_bound'( X, multiply( X, b ) ), multiply( X
% 0.52/1.02 , b ) ) ] )
% 0.52/1.02 , clause( 3262, [ =( multiply( X, b ), 'least_upper_bound'( X, multiply( X
% 0.52/1.02 , b ) ) ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 817, [ =( 'least_upper_bound'( X, multiply( X, b ) ), multiply( X,
% 0.52/1.02 b ) ) ] )
% 0.52/1.02 , clause( 3263, [ =( 'least_upper_bound'( X, multiply( X, b ) ), multiply(
% 0.52/1.02 X, b ) ) ] )
% 0.52/1.02 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3265, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 0.52/1.02 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 0.52/1.02 , clause( 95, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply(
% 0.52/1.02 'least_upper_bound'( identity, Y ), X ) ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3271, [ =( multiply( multiply( identity, b ), X ),
% 0.52/1.02 'least_upper_bound'( X, multiply( multiply( identity, b ), X ) ) ) ] )
% 0.52/1.02 , clause( 817, [ =( 'least_upper_bound'( X, multiply( X, b ) ), multiply( X
% 0.52/1.02 , b ) ) ] )
% 0.52/1.02 , 0, clause( 3265, [ =( multiply( 'least_upper_bound'( identity, Y ), X ),
% 0.52/1.02 'least_upper_bound'( X, multiply( Y, X ) ) ) ] )
% 0.52/1.02 , 0, 2, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X,
% 0.52/1.02 X ), :=( Y, multiply( identity, b ) )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3274, [ =( multiply( multiply( identity, b ), X ),
% 0.52/1.02 'least_upper_bound'( X, multiply( b, X ) ) ) ] )
% 0.52/1.02 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.52/1.02 , 0, clause( 3271, [ =( multiply( multiply( identity, b ), X ),
% 0.52/1.02 'least_upper_bound'( X, multiply( multiply( identity, b ), X ) ) ) ] )
% 0.52/1.02 , 0, 9, substitution( 0, [ :=( X, b )] ), substitution( 1, [ :=( X, X )] )
% 0.52/1.02 ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3275, [ =( multiply( b, X ), 'least_upper_bound'( X, multiply( b, X
% 0.52/1.02 ) ) ) ] )
% 0.52/1.02 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.52/1.02 , 0, clause( 3274, [ =( multiply( multiply( identity, b ), X ),
% 0.52/1.02 'least_upper_bound'( X, multiply( b, X ) ) ) ] )
% 0.52/1.02 , 0, 2, substitution( 0, [ :=( X, b )] ), substitution( 1, [ :=( X, X )] )
% 0.52/1.02 ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3277, [ =( 'least_upper_bound'( X, multiply( b, X ) ), multiply( b
% 0.52/1.02 , X ) ) ] )
% 0.52/1.02 , clause( 3275, [ =( multiply( b, X ), 'least_upper_bound'( X, multiply( b
% 0.52/1.02 , X ) ) ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 2092, [ =( 'least_upper_bound'( X, multiply( b, X ) ), multiply( b
% 0.52/1.02 , X ) ) ] )
% 0.52/1.02 , clause( 3277, [ =( 'least_upper_bound'( X, multiply( b, X ) ), multiply(
% 0.52/1.02 b, X ) ) ] )
% 0.52/1.02 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3280, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 0.52/1.02 X ) ) ] )
% 0.52/1.02 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 0.52/1.02 , X ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3281, [ =( X, 'greatest_lower_bound'( multiply( b, X ), X ) ) ] )
% 0.52/1.02 , clause( 2092, [ =( 'least_upper_bound'( X, multiply( b, X ) ), multiply(
% 0.52/1.02 b, X ) ) ] )
% 0.52/1.02 , 0, clause( 3280, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X,
% 0.52/1.02 Y ), X ) ) ] )
% 0.52/1.02 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.52/1.02 :=( Y, multiply( b, X ) )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3282, [ =( 'greatest_lower_bound'( multiply( b, X ), X ), X ) ] )
% 0.52/1.02 , clause( 3281, [ =( X, 'greatest_lower_bound'( multiply( b, X ), X ) ) ]
% 0.52/1.02 )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 2221, [ =( 'greatest_lower_bound'( multiply( b, X ), X ), X ) ] )
% 0.52/1.02 , clause( 3282, [ =( 'greatest_lower_bound'( multiply( b, X ), X ), X ) ]
% 0.52/1.02 )
% 0.52/1.02 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3284, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) )
% 0.52/1.02 , 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) ) ] )
% 0.52/1.02 , clause( 80, [ =( 'greatest_lower_bound'( multiply( inverse( X ), Y ),
% 0.52/1.02 identity ), multiply( inverse( X ), 'greatest_lower_bound'( Y, X ) ) ) ]
% 0.52/1.02 )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3287, [ =( multiply( inverse( X ), X ), 'greatest_lower_bound'(
% 0.52/1.02 multiply( inverse( X ), multiply( b, X ) ), identity ) ) ] )
% 0.52/1.02 , clause( 2221, [ =( 'greatest_lower_bound'( multiply( b, X ), X ), X ) ]
% 0.52/1.02 )
% 0.52/1.02 , 0, clause( 3284, [ =( multiply( inverse( X ), 'greatest_lower_bound'( Y,
% 0.52/1.02 X ) ), 'greatest_lower_bound'( multiply( inverse( X ), Y ), identity ) )
% 0.52/1.02 ] )
% 0.52/1.02 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.52/1.02 :=( Y, multiply( b, X ) )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3288, [ =( multiply( inverse( X ), X ), 'greatest_lower_bound'(
% 0.52/1.02 multiply( multiply( inverse( X ), b ), X ), identity ) ) ] )
% 0.52/1.02 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.52/1.02 ), Z ) ) ] )
% 0.52/1.02 , 0, clause( 3287, [ =( multiply( inverse( X ), X ), 'greatest_lower_bound'(
% 0.52/1.02 multiply( inverse( X ), multiply( b, X ) ), identity ) ) ] )
% 0.52/1.02 , 0, 6, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, b ), :=( Z, X )] )
% 0.52/1.02 , substitution( 1, [ :=( X, X )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3289, [ =( identity, 'greatest_lower_bound'( multiply( multiply(
% 0.52/1.02 inverse( X ), b ), X ), identity ) ) ] )
% 0.52/1.02 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.52/1.02 , 0, clause( 3288, [ =( multiply( inverse( X ), X ), 'greatest_lower_bound'(
% 0.52/1.02 multiply( multiply( inverse( X ), b ), X ), identity ) ) ] )
% 0.52/1.02 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.52/1.02 ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqswap(
% 0.52/1.02 clause( 3290, [ =( 'greatest_lower_bound'( multiply( multiply( inverse( X )
% 0.52/1.02 , b ), X ), identity ), identity ) ] )
% 0.52/1.02 , clause( 3289, [ =( identity, 'greatest_lower_bound'( multiply( multiply(
% 0.52/1.02 inverse( X ), b ), X ), identity ) ) ] )
% 0.52/1.02 , 0, substitution( 0, [ :=( X, X )] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 2227, [ =( 'greatest_lower_bound'( multiply( multiply( inverse( X )
% 0.52/1.02 , b ), X ), identity ), identity ) ] )
% 0.52/1.02 , clause( 3290, [ =( 'greatest_lower_bound'( multiply( multiply( inverse( X
% 0.52/1.02 ), b ), X ), identity ), identity ) ] )
% 0.52/1.02 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 paramod(
% 0.52/1.02 clause( 3293, [ ~( =( identity, identity ) ) ] )
% 0.52/1.02 , clause( 2227, [ =( 'greatest_lower_bound'( multiply( multiply( inverse( X
% 0.52/1.02 ), b ), X ), identity ), identity ) ] )
% 0.52/1.02 , 0, clause( 128, [ ~( =( 'greatest_lower_bound'( multiply( multiply(
% 0.52/1.02 inverse( a ), b ), a ), identity ), identity ) ) ] )
% 0.52/1.02 , 0, 2, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 eqrefl(
% 0.52/1.02 clause( 3294, [] )
% 0.52/1.02 , clause( 3293, [ ~( =( identity, identity ) ) ] )
% 0.52/1.02 , 0, substitution( 0, [] )).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 subsumption(
% 0.52/1.02 clause( 3031, [] )
% 0.52/1.02 , clause( 3294, [] )
% 0.52/1.02 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 end.
% 0.52/1.02
% 0.52/1.02 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.52/1.02
% 0.52/1.02 Memory use:
% 0.52/1.02
% 0.52/1.02 space for terms: 39134
% 0.52/1.02 space for clauses: 322055
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 clauses generated: 39309
% 0.52/1.02 clauses kept: 3032
% 0.52/1.02 clauses selected: 313
% 0.52/1.02 clauses deleted: 28
% 0.52/1.02 clauses inuse deleted: 11
% 0.52/1.02
% 0.52/1.02 subsentry: 5161
% 0.52/1.02 literals s-matched: 4586
% 0.52/1.02 literals matched: 4574
% 0.52/1.02 full subsumption: 0
% 0.52/1.02
% 0.52/1.02 checksum: 392741180
% 0.52/1.02
% 0.52/1.02
% 0.52/1.02 Bliksem ended
%------------------------------------------------------------------------------