TSTP Solution File: GRP190-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP190-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 07:36:02 EDT 2022
% Result : Unsatisfiable 0.75s 1.25s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP190-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jun 13 12:56:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.75/1.25 *** allocated 10000 integers for termspace/termends
% 0.75/1.25 *** allocated 10000 integers for clauses
% 0.75/1.25 *** allocated 10000 integers for justifications
% 0.75/1.25 Bliksem 1.12
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 Automatic Strategy Selection
% 0.75/1.25
% 0.75/1.25 Clauses:
% 0.75/1.25 [
% 0.75/1.25 [ =( multiply( identity, X ), X ) ],
% 0.75/1.25 [ =( multiply( inverse( X ), X ), identity ) ],
% 0.75/1.25 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.75/1.25 ],
% 0.75/1.25 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 0.75/1.25 ,
% 0.75/1.25 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 0.75/1.25 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.75/1.25 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 0.75/1.25 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.75/1.25 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 0.75/1.25 [ =( 'least_upper_bound'( X, X ), X ) ],
% 0.75/1.25 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 0.75/1.25 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 0.75/1.25 ,
% 0.75/1.25 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 0.75/1.25 ,
% 0.75/1.25 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 0.75/1.25 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.75/1.25 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.75/1.25 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.75/1.25 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 0.75/1.25 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.75/1.25 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.75/1.25 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.75/1.25 [ =( 'least_upper_bound'( a, b ), a ) ],
% 0.75/1.25 [ ~( =( 'least_upper_bound'( inverse( a ), inverse( b ) ), inverse( b )
% 0.75/1.25 ) ) ]
% 0.75/1.25 ] .
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 percentage equality = 1.000000, percentage horn = 1.000000
% 0.75/1.25 This is a pure equality problem
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 Options Used:
% 0.75/1.25
% 0.75/1.25 useres = 1
% 0.75/1.25 useparamod = 1
% 0.75/1.25 useeqrefl = 1
% 0.75/1.25 useeqfact = 1
% 0.75/1.25 usefactor = 1
% 0.75/1.25 usesimpsplitting = 0
% 0.75/1.25 usesimpdemod = 5
% 0.75/1.25 usesimpres = 3
% 0.75/1.25
% 0.75/1.25 resimpinuse = 1000
% 0.75/1.25 resimpclauses = 20000
% 0.75/1.25 substype = eqrewr
% 0.75/1.25 backwardsubs = 1
% 0.75/1.25 selectoldest = 5
% 0.75/1.25
% 0.75/1.25 litorderings [0] = split
% 0.75/1.25 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.25
% 0.75/1.25 termordering = kbo
% 0.75/1.25
% 0.75/1.25 litapriori = 0
% 0.75/1.25 termapriori = 1
% 0.75/1.25 litaposteriori = 0
% 0.75/1.25 termaposteriori = 0
% 0.75/1.25 demodaposteriori = 0
% 0.75/1.25 ordereqreflfact = 0
% 0.75/1.25
% 0.75/1.25 litselect = negord
% 0.75/1.25
% 0.75/1.25 maxweight = 15
% 0.75/1.25 maxdepth = 30000
% 0.75/1.25 maxlength = 115
% 0.75/1.25 maxnrvars = 195
% 0.75/1.25 excuselevel = 1
% 0.75/1.25 increasemaxweight = 1
% 0.75/1.25
% 0.75/1.25 maxselected = 10000000
% 0.75/1.25 maxnrclauses = 10000000
% 0.75/1.25
% 0.75/1.25 showgenerated = 0
% 0.75/1.25 showkept = 0
% 0.75/1.25 showselected = 0
% 0.75/1.25 showdeleted = 0
% 0.75/1.25 showresimp = 1
% 0.75/1.25 showstatus = 2000
% 0.75/1.25
% 0.75/1.25 prologoutput = 1
% 0.75/1.25 nrgoals = 5000000
% 0.75/1.25 totalproof = 1
% 0.75/1.25
% 0.75/1.25 Symbols occurring in the translation:
% 0.75/1.25
% 0.75/1.25 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.25 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.75/1.25 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.75/1.25 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.25 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.25 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.75/1.25 multiply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.75/1.25 inverse [42, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.75/1.25 'greatest_lower_bound' [45, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.75/1.25 'least_upper_bound' [46, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.75/1.25 a [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.75/1.25 b [48, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 Starting Search:
% 0.75/1.25
% 0.75/1.25 Resimplifying inuse:
% 0.75/1.25 Done
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 Intermediate Status:
% 0.75/1.25 Generated: 28020
% 0.75/1.25 Kept: 2009
% 0.75/1.25 Inuse: 244
% 0.75/1.25 Deleted: 18
% 0.75/1.25 Deletedinuse: 6
% 0.75/1.25
% 0.75/1.25 Resimplifying inuse:
% 0.75/1.25 Done
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 Bliksems!, er is een bewijs:
% 0.75/1.25 % SZS status Unsatisfiable
% 0.75/1.25 % SZS output start Refutation
% 0.75/1.25
% 0.75/1.25 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.75/1.25 , Z ) ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 0.75/1.25 X ) ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 0.75/1.25 ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.75/1.25 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 0.75/1.25 ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 0.75/1.25 X ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 0.75/1.25 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 0.75/1.25 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 15, [ =( 'least_upper_bound'( a, b ), a ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 16, [ ~( =( 'least_upper_bound'( inverse( a ), inverse( b ) ),
% 0.75/1.25 inverse( b ) ) ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.75/1.25 identity ) ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.75/1.25 ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 0.75/1.25 X ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 23, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 0.75/1.25 X ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 34, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 0.75/1.25 X ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 37, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 0.75/1.25 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'( Y, Z ) ),
% 0.75/1.25 'least_upper_bound'( Y, Z ) ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 50, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 0.75/1.25 'least_upper_bound'( X, Y ) ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 64, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 0.75/1.25 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 90, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 0.75/1.25 'least_upper_bound'( Y, identity ), X ) ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 141, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 146, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.75/1.25 ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 287, [ =( multiply( X, identity ), X ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 295, [ =( inverse( inverse( X ) ), X ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 300, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 366, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 0.75/1.25 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( Y, X ) ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 1079, [ =( 'least_upper_bound'( identity, multiply( inverse( a ), b
% 0.75/1.25 ) ), identity ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 1095, [ =( 'least_upper_bound'( multiply( inverse( a ), b ),
% 0.75/1.25 identity ), identity ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 2085, [ =( 'least_upper_bound'( multiply( multiply( inverse( a ), b
% 0.75/1.25 ), X ), X ), X ) ] )
% 0.75/1.25 .
% 0.75/1.25 clause( 2330, [] )
% 0.75/1.25 .
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 % SZS output end Refutation
% 0.75/1.25 found a proof!
% 0.75/1.25
% 0.75/1.25 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.25
% 0.75/1.25 initialclauses(
% 0.75/1.25 [ clause( 2332, [ =( multiply( identity, X ), X ) ] )
% 0.75/1.25 , clause( 2333, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.75/1.25 , clause( 2334, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.75/1.25 Y, Z ) ) ) ] )
% 0.75/1.25 , clause( 2335, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.75/1.25 Y, X ) ) ] )
% 0.75/1.25 , clause( 2336, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.75/1.25 ) ) ] )
% 0.75/1.25 , clause( 2337, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y,
% 0.75/1.25 Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.75/1.25 , clause( 2338, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 0.75/1.25 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.75/1.25 , clause( 2339, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 0.75/1.25 , clause( 2340, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 0.75/1.25 , clause( 2341, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y )
% 0.75/1.25 ), X ) ] )
% 0.75/1.25 , clause( 2342, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y )
% 0.75/1.25 ), X ) ] )
% 0.75/1.25 , clause( 2343, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.75/1.25 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.75/1.25 , clause( 2344, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.75/1.25 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.75/1.25 , clause( 2345, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 0.75/1.25 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.75/1.25 , clause( 2346, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.75/1.25 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.75/1.25 , clause( 2347, [ =( 'least_upper_bound'( a, b ), a ) ] )
% 0.75/1.25 , clause( 2348, [ ~( =( 'least_upper_bound'( inverse( a ), inverse( b ) ),
% 0.75/1.25 inverse( b ) ) ) ] )
% 0.75/1.25 ] ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.75/1.25 , clause( 2332, [ =( multiply( identity, X ), X ) ] )
% 0.75/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.75/1.25 , clause( 2333, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.75/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2354, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X,
% 0.75/1.25 Y ), Z ) ) ] )
% 0.75/1.25 , clause( 2334, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.75/1.25 Y, Z ) ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.75/1.25 , Z ) ) ] )
% 0.75/1.25 , clause( 2354, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.75/1.25 , Y ), Z ) ) ] )
% 0.75/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 0.75/1.25 X ) ) ] )
% 0.75/1.25 , clause( 2335, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.75/1.25 Y, X ) ) ] )
% 0.75/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.25 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 0.75/1.25 ] )
% 0.75/1.25 , clause( 2336, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.75/1.25 ) ) ] )
% 0.75/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.25 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.75/1.25 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.75/1.25 , clause( 2338, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 0.75/1.25 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.75/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 0.75/1.25 ) ] )
% 0.75/1.25 , clause( 2341, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y )
% 0.75/1.25 ), X ) ] )
% 0.75/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.25 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 0.75/1.25 X ) ] )
% 0.75/1.25 , clause( 2342, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y )
% 0.75/1.25 ), X ) ] )
% 0.75/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.25 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2392, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 0.75/1.25 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.75/1.25 , clause( 2343, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.75/1.25 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) )
% 0.75/1.25 , multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.75/1.25 , clause( 2392, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z
% 0.75/1.25 ) ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.75/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2404, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 0.75/1.25 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.75/1.25 , clause( 2345, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 0.75/1.25 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 0.75/1.25 , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.75/1.25 , clause( 2404, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 0.75/1.25 ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.75/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 15, [ =( 'least_upper_bound'( a, b ), a ) ] )
% 0.75/1.25 , clause( 2347, [ =( 'least_upper_bound'( a, b ), a ) ] )
% 0.75/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 16, [ ~( =( 'least_upper_bound'( inverse( a ), inverse( b ) ),
% 0.75/1.25 inverse( b ) ) ) ] )
% 0.75/1.25 , clause( 2348, [ ~( =( 'least_upper_bound'( inverse( a ), inverse( b ) ),
% 0.75/1.25 inverse( b ) ) ) ] )
% 0.75/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2435, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.75/1.25 Y, Z ) ) ) ] )
% 0.75/1.25 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.75/1.25 ), Z ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 paramod(
% 0.75/1.25 clause( 2440, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 0.75/1.25 , identity ) ) ] )
% 0.75/1.25 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.75/1.25 , 0, clause( 2435, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.75/1.25 multiply( Y, Z ) ) ) ] )
% 0.75/1.25 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.75/1.25 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.75/1.25 identity ) ) ] )
% 0.75/1.25 , clause( 2440, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 0.75/1.25 X, identity ) ) ] )
% 0.75/1.25 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.25 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2445, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.75/1.25 Y, Z ) ) ) ] )
% 0.75/1.25 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.75/1.25 ), Z ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 paramod(
% 0.75/1.25 clause( 2450, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.75/1.25 ) ] )
% 0.75/1.25 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.75/1.25 , 0, clause( 2445, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.75/1.25 multiply( Y, Z ) ) ) ] )
% 0.75/1.25 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.75/1.25 :=( Y, identity ), :=( Z, Y )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.75/1.25 ] )
% 0.75/1.25 , clause( 2450, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 0.75/1.25 ) ) ] )
% 0.75/1.25 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.25 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2455, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 0.75/1.25 ) ) ) ] )
% 0.75/1.25 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 0.75/1.25 , X ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 paramod(
% 0.75/1.25 clause( 2456, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 0.75/1.25 X ) ) ] )
% 0.75/1.25 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 0.75/1.25 , X ) ) ] )
% 0.75/1.25 , 0, clause( 2455, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 0.75/1.25 X, Y ) ) ) ] )
% 0.75/1.25 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 0.75/1.25 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2459, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 0.75/1.25 , X ) ] )
% 0.75/1.25 , clause( 2456, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y )
% 0.75/1.25 , X ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X ),
% 0.75/1.25 X ) ] )
% 0.75/1.25 , clause( 2459, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X
% 0.75/1.25 ), X ) ] )
% 0.75/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.25 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2460, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 0.75/1.25 ) ) ) ] )
% 0.75/1.25 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 0.75/1.25 , X ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 paramod(
% 0.75/1.25 clause( 2461, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X
% 0.75/1.25 ) ) ) ] )
% 0.75/1.25 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 0.75/1.25 ) ] )
% 0.75/1.25 , 0, clause( 2460, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 0.75/1.25 X, Y ) ) ) ] )
% 0.75/1.25 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.75/1.25 :=( X, X ), :=( Y, Y )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2464, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 0.75/1.25 , X ) ] )
% 0.75/1.25 , clause( 2461, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( Y,
% 0.75/1.25 X ) ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 23, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) ),
% 0.75/1.25 X ) ] )
% 0.75/1.25 , clause( 2464, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X )
% 0.75/1.25 ), X ) ] )
% 0.75/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.25 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2465, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 0.75/1.25 X ) ) ] )
% 0.75/1.25 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 0.75/1.25 , X ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 paramod(
% 0.75/1.25 clause( 2466, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 0.75/1.25 X ) ) ] )
% 0.75/1.25 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 0.75/1.25 ) ] )
% 0.75/1.25 , 0, clause( 2465, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( X,
% 0.75/1.25 Y ), X ) ) ] )
% 0.75/1.25 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.75/1.25 :=( X, X ), :=( Y, Y )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2469, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 0.75/1.25 , X ) ] )
% 0.75/1.25 , clause( 2466, [ =( X, 'greatest_lower_bound'( 'least_upper_bound'( Y, X )
% 0.75/1.25 , X ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 34, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X ),
% 0.75/1.25 X ) ] )
% 0.75/1.25 , clause( 2469, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X
% 0.75/1.25 ), X ) ] )
% 0.75/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.25 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2471, [ =( Y, 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 0.75/1.25 Y ) ) ] )
% 0.75/1.25 , clause( 34, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ), X )
% 0.75/1.25 , X ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 paramod(
% 0.75/1.25 clause( 2472, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 0.75/1.25 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ),
% 0.75/1.25 'least_upper_bound'( X, Y ) ) ) ] )
% 0.75/1.25 , clause( 6, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.75/1.25 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.75/1.25 , 0, clause( 2471, [ =( Y, 'greatest_lower_bound'( 'least_upper_bound'( X,
% 0.75/1.25 Y ), Y ) ) ] )
% 0.75/1.25 , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.75/1.25 substitution( 1, [ :=( X, Z ), :=( Y, 'least_upper_bound'( X, Y ) )] )
% 0.75/1.25 ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2473, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 0.75/1.25 'least_upper_bound'( Z, X ), Y ), 'least_upper_bound'( X, Y ) ),
% 0.75/1.25 'least_upper_bound'( X, Y ) ) ] )
% 0.75/1.25 , clause( 2472, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 0.75/1.25 'least_upper_bound'( 'least_upper_bound'( Z, X ), Y ),
% 0.75/1.25 'least_upper_bound'( X, Y ) ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 37, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 0.75/1.25 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'( Y, Z ) ),
% 0.75/1.25 'least_upper_bound'( Y, Z ) ) ] )
% 0.75/1.25 , clause( 2473, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 0.75/1.25 'least_upper_bound'( Z, X ), Y ), 'least_upper_bound'( X, Y ) ),
% 0.75/1.25 'least_upper_bound'( X, Y ) ) ] )
% 0.75/1.25 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.75/1.25 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2475, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 0.75/1.25 ) ) ) ] )
% 0.75/1.25 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 0.75/1.25 , X ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 paramod(
% 0.75/1.25 clause( 2478, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 0.75/1.25 'least_upper_bound'( X, Y ), X ) ) ] )
% 0.75/1.25 , clause( 21, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ), X )
% 0.75/1.25 , X ) ] )
% 0.75/1.25 , 0, clause( 2475, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 0.75/1.25 X, Y ) ) ) ] )
% 0.75/1.25 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.75/1.25 :=( X, 'least_upper_bound'( X, Y ) ), :=( Y, X )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2479, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 0.75/1.25 'least_upper_bound'( X, Y ) ) ] )
% 0.75/1.25 , clause( 2478, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'(
% 0.75/1.25 'least_upper_bound'( X, Y ), X ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 50, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 0.75/1.25 'least_upper_bound'( X, Y ) ) ] )
% 0.75/1.25 , clause( 2479, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X )
% 0.75/1.25 , 'least_upper_bound'( X, Y ) ) ] )
% 0.75/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.25 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2481, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.75/1.25 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.75/1.25 , clause( 11, [ =( 'least_upper_bound'( multiply( X, Y ), multiply( X, Z )
% 0.75/1.25 ), multiply( X, 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 paramod(
% 0.75/1.25 clause( 2483, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 0.75/1.25 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 0.75/1.25 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.75/1.25 , 0, clause( 2481, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.75/1.25 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.75/1.25 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.75/1.25 X ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2486, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 0.75/1.25 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 0.75/1.25 , clause( 2483, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) )
% 0.75/1.25 , 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 64, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y )
% 0.75/1.25 ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 0.75/1.25 , clause( 2486, [ =( 'least_upper_bound'( identity, multiply( inverse( X )
% 0.75/1.25 , Y ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 0.75/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.25 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2489, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 0.75/1.25 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 0.75/1.25 , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 0.75/1.25 ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 paramod(
% 0.75/1.25 clause( 2491, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 0.75/1.25 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 0.75/1.25 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.75/1.25 , 0, clause( 2489, [ =( multiply( 'least_upper_bound'( X, Z ), Y ),
% 0.75/1.25 'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 0.75/1.25 , 0, 10, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.75/1.25 :=( Y, Y ), :=( Z, identity )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2493, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 0.75/1.25 'least_upper_bound'( X, identity ), Y ) ) ] )
% 0.75/1.25 , clause( 2491, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 0.75/1.25 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 90, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 0.75/1.25 'least_upper_bound'( Y, identity ), X ) ) ] )
% 0.75/1.25 , clause( 2493, [ =( 'least_upper_bound'( multiply( X, Y ), Y ), multiply(
% 0.75/1.25 'least_upper_bound'( X, identity ), Y ) ) ] )
% 0.75/1.25 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.25 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2495, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 0.75/1.25 Y ) ), Y ) ) ] )
% 0.75/1.25 , clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 0.75/1.25 , identity ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 paramod(
% 0.75/1.25 clause( 2498, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 0.75/1.25 identity, X ) ) ] )
% 0.75/1.25 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.75/1.25 , 0, clause( 2495, [ =( multiply( X, identity ), multiply( multiply( X,
% 0.75/1.25 inverse( Y ) ), Y ) ) ] )
% 0.75/1.25 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.75/1.25 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 paramod(
% 0.75/1.25 clause( 2499, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.75/1.25 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.75/1.25 , 0, clause( 2498, [ =( multiply( inverse( inverse( X ) ), identity ),
% 0.75/1.25 multiply( identity, X ) ) ] )
% 0.75/1.25 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.75/1.25 ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 141, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.75/1.25 , clause( 2499, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 0.75/1.25 )
% 0.75/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2502, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 0.75/1.25 ) ] )
% 0.75/1.25 , clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 0.75/1.25 ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 paramod(
% 0.75/1.25 clause( 2505, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.75/1.25 ) ] )
% 0.75/1.25 , clause( 141, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.75/1.25 , 0, clause( 2502, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 0.75/1.25 , Y ) ) ] )
% 0.75/1.25 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.75/1.25 inverse( X ) ) ), :=( Y, Y )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 146, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.75/1.25 ) ] )
% 0.75/1.25 , clause( 2505, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.75/1.25 ) ) ] )
% 0.75/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.25 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2511, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 0.75/1.25 ) ] )
% 0.75/1.25 , clause( 146, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.75/1.25 ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 paramod(
% 0.75/1.25 clause( 2514, [ =( multiply( X, identity ), X ) ] )
% 0.75/1.25 , clause( 141, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.75/1.25 , 0, clause( 2511, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 0.75/1.25 , Y ) ) ] )
% 0.75/1.25 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.75/1.25 :=( Y, identity )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 287, [ =( multiply( X, identity ), X ) ] )
% 0.75/1.25 , clause( 2514, [ =( multiply( X, identity ), X ) ] )
% 0.75/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2519, [ =( X, multiply( X, identity ) ) ] )
% 0.75/1.25 , clause( 287, [ =( multiply( X, identity ), X ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 paramod(
% 0.75/1.25 clause( 2522, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 0.75/1.25 , clause( 146, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.75/1.25 ) ) ] )
% 0.75/1.25 , 0, clause( 2519, [ =( X, multiply( X, identity ) ) ] )
% 0.75/1.25 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution(
% 0.75/1.25 1, [ :=( X, inverse( inverse( X ) ) )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 paramod(
% 0.75/1.25 clause( 2523, [ =( inverse( inverse( X ) ), X ) ] )
% 0.75/1.25 , clause( 287, [ =( multiply( X, identity ), X ) ] )
% 0.75/1.25 , 0, clause( 2522, [ =( inverse( inverse( X ) ), multiply( X, identity ) )
% 0.75/1.25 ] )
% 0.75/1.25 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.75/1.25 ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 295, [ =( inverse( inverse( X ) ), X ) ] )
% 0.75/1.25 , clause( 2523, [ =( inverse( inverse( X ) ), X ) ] )
% 0.75/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2526, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 0.75/1.25 Y ) ), Y ) ) ] )
% 0.75/1.25 , clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 0.75/1.25 , identity ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 paramod(
% 0.75/1.25 clause( 2528, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 0.75/1.25 inverse( Y ) ) ) ] )
% 0.75/1.25 , clause( 295, [ =( inverse( inverse( X ) ), X ) ] )
% 0.75/1.25 , 0, clause( 2526, [ =( multiply( X, identity ), multiply( multiply( X,
% 0.75/1.25 inverse( Y ) ), Y ) ) ] )
% 0.75/1.25 , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.75/1.25 :=( Y, inverse( Y ) )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 paramod(
% 0.75/1.25 clause( 2529, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.75/1.25 , clause( 287, [ =( multiply( X, identity ), X ) ] )
% 0.75/1.25 , 0, clause( 2528, [ =( multiply( X, identity ), multiply( multiply( X, Y )
% 0.75/1.25 , inverse( Y ) ) ) ] )
% 0.75/1.25 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.75/1.25 :=( Y, Y )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2530, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.75/1.25 , clause( 2529, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 300, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.75/1.25 , clause( 2530, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.75/1.25 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.25 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2532, [ =( 'least_upper_bound'( Y, Z ), 'greatest_lower_bound'(
% 0.75/1.25 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 0.75/1.25 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.75/1.25 , clause( 37, [ =( 'greatest_lower_bound'( 'least_upper_bound'(
% 0.75/1.25 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'( Y, Z ) ),
% 0.75/1.25 'least_upper_bound'( Y, Z ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 paramod(
% 0.75/1.25 clause( 2535, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 0.75/1.25 'least_upper_bound'( Y, X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 0.75/1.25 , clause( 50, [ =( 'least_upper_bound'( 'least_upper_bound'( X, Y ), X ),
% 0.75/1.25 'least_upper_bound'( X, Y ) ) ] )
% 0.75/1.25 , 0, clause( 2532, [ =( 'least_upper_bound'( Y, Z ), 'greatest_lower_bound'(
% 0.75/1.25 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ),
% 0.75/1.25 'least_upper_bound'( Y, Z ) ) ) ] )
% 0.75/1.25 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.75/1.25 :=( X, Y ), :=( Y, X ), :=( Z, Y )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2541, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 0.75/1.25 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( X, Y ) ) ] )
% 0.75/1.25 , clause( 2535, [ =( 'least_upper_bound'( X, Y ), 'greatest_lower_bound'(
% 0.75/1.25 'least_upper_bound'( Y, X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 366, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 0.75/1.25 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( Y, X ) ) ] )
% 0.75/1.25 , clause( 2541, [ =( 'greatest_lower_bound'( 'least_upper_bound'( Y, X ),
% 0.75/1.25 'least_upper_bound'( X, Y ) ), 'least_upper_bound'( X, Y ) ) ] )
% 0.75/1.25 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.25 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2544, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y ) ),
% 0.75/1.25 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 0.75/1.25 , clause( 64, [ =( 'least_upper_bound'( identity, multiply( inverse( X ), Y
% 0.75/1.25 ) ), multiply( inverse( X ), 'least_upper_bound'( X, Y ) ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 paramod(
% 0.75/1.25 clause( 2546, [ =( multiply( inverse( a ), a ), 'least_upper_bound'(
% 0.75/1.25 identity, multiply( inverse( a ), b ) ) ) ] )
% 0.75/1.25 , clause( 15, [ =( 'least_upper_bound'( a, b ), a ) ] )
% 0.75/1.25 , 0, clause( 2544, [ =( multiply( inverse( X ), 'least_upper_bound'( X, Y )
% 0.75/1.25 ), 'least_upper_bound'( identity, multiply( inverse( X ), Y ) ) ) ] )
% 0.75/1.25 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.75/1.25 ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 paramod(
% 0.75/1.25 clause( 2547, [ =( identity, 'least_upper_bound'( identity, multiply(
% 0.75/1.25 inverse( a ), b ) ) ) ] )
% 0.75/1.25 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.75/1.25 , 0, clause( 2546, [ =( multiply( inverse( a ), a ), 'least_upper_bound'(
% 0.75/1.25 identity, multiply( inverse( a ), b ) ) ) ] )
% 0.75/1.25 , 0, 1, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2548, [ =( 'least_upper_bound'( identity, multiply( inverse( a ), b
% 0.75/1.25 ) ), identity ) ] )
% 0.75/1.25 , clause( 2547, [ =( identity, 'least_upper_bound'( identity, multiply(
% 0.75/1.25 inverse( a ), b ) ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 1079, [ =( 'least_upper_bound'( identity, multiply( inverse( a ), b
% 0.75/1.25 ) ), identity ) ] )
% 0.75/1.25 , clause( 2548, [ =( 'least_upper_bound'( identity, multiply( inverse( a )
% 0.75/1.25 , b ) ), identity ) ] )
% 0.75/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2550, [ =( 'least_upper_bound'( Y, X ), 'greatest_lower_bound'(
% 0.75/1.25 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 0.75/1.25 , clause( 366, [ =( 'greatest_lower_bound'( 'least_upper_bound'( X, Y ),
% 0.75/1.25 'least_upper_bound'( Y, X ) ), 'least_upper_bound'( Y, X ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 paramod(
% 0.75/1.25 clause( 2554, [ =( 'least_upper_bound'( multiply( inverse( a ), b ),
% 0.75/1.25 identity ), 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 0.75/1.25 multiply( inverse( a ), b ), identity ) ) ) ] )
% 0.75/1.25 , clause( 1079, [ =( 'least_upper_bound'( identity, multiply( inverse( a )
% 0.75/1.25 , b ) ), identity ) ] )
% 0.75/1.25 , 0, clause( 2550, [ =( 'least_upper_bound'( Y, X ), 'greatest_lower_bound'(
% 0.75/1.25 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ) ] )
% 0.75/1.25 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 0.75/1.25 , multiply( inverse( a ), b ) )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 paramod(
% 0.75/1.25 clause( 2556, [ =( 'least_upper_bound'( multiply( inverse( a ), b ),
% 0.75/1.25 identity ), identity ) ] )
% 0.75/1.25 , clause( 23, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( Y, X ) )
% 0.75/1.25 , X ) ] )
% 0.75/1.25 , 0, clause( 2554, [ =( 'least_upper_bound'( multiply( inverse( a ), b ),
% 0.75/1.25 identity ), 'greatest_lower_bound'( identity, 'least_upper_bound'(
% 0.75/1.25 multiply( inverse( a ), b ), identity ) ) ) ] )
% 0.75/1.25 , 0, 7, substitution( 0, [ :=( X, identity ), :=( Y, multiply( inverse( a )
% 0.75/1.25 , b ) )] ), substitution( 1, [] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 1095, [ =( 'least_upper_bound'( multiply( inverse( a ), b ),
% 0.75/1.25 identity ), identity ) ] )
% 0.75/1.25 , clause( 2556, [ =( 'least_upper_bound'( multiply( inverse( a ), b ),
% 0.75/1.25 identity ), identity ) ] )
% 0.75/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2559, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 0.75/1.25 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 0.75/1.25 , clause( 90, [ =( 'least_upper_bound'( multiply( Y, X ), X ), multiply(
% 0.75/1.25 'least_upper_bound'( Y, identity ), X ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 paramod(
% 0.75/1.25 clause( 2561, [ =( multiply( identity, X ), 'least_upper_bound'( multiply(
% 0.75/1.25 multiply( inverse( a ), b ), X ), X ) ) ] )
% 0.75/1.25 , clause( 1095, [ =( 'least_upper_bound'( multiply( inverse( a ), b ),
% 0.75/1.25 identity ), identity ) ] )
% 0.75/1.25 , 0, clause( 2559, [ =( multiply( 'least_upper_bound'( X, identity ), Y ),
% 0.75/1.25 'least_upper_bound'( multiply( X, Y ), Y ) ) ] )
% 0.75/1.25 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, multiply( inverse(
% 0.75/1.25 a ), b ) ), :=( Y, X )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 paramod(
% 0.75/1.25 clause( 2562, [ =( X, 'least_upper_bound'( multiply( multiply( inverse( a )
% 0.75/1.25 , b ), X ), X ) ) ] )
% 0.75/1.25 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.75/1.25 , 0, clause( 2561, [ =( multiply( identity, X ), 'least_upper_bound'(
% 0.75/1.25 multiply( multiply( inverse( a ), b ), X ), X ) ) ] )
% 0.75/1.25 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.75/1.25 ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2563, [ =( 'least_upper_bound'( multiply( multiply( inverse( a ), b
% 0.75/1.25 ), X ), X ), X ) ] )
% 0.75/1.25 , clause( 2562, [ =( X, 'least_upper_bound'( multiply( multiply( inverse( a
% 0.75/1.25 ), b ), X ), X ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 2085, [ =( 'least_upper_bound'( multiply( multiply( inverse( a ), b
% 0.75/1.25 ), X ), X ), X ) ] )
% 0.75/1.25 , clause( 2563, [ =( 'least_upper_bound'( multiply( multiply( inverse( a )
% 0.75/1.25 , b ), X ), X ), X ) ] )
% 0.75/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2565, [ =( X, 'least_upper_bound'( multiply( multiply( inverse( a )
% 0.75/1.25 , b ), X ), X ) ) ] )
% 0.75/1.25 , clause( 2085, [ =( 'least_upper_bound'( multiply( multiply( inverse( a )
% 0.75/1.25 , b ), X ), X ), X ) ] )
% 0.75/1.25 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 eqswap(
% 0.75/1.25 clause( 2566, [ ~( =( inverse( b ), 'least_upper_bound'( inverse( a ),
% 0.75/1.25 inverse( b ) ) ) ) ] )
% 0.75/1.25 , clause( 16, [ ~( =( 'least_upper_bound'( inverse( a ), inverse( b ) ),
% 0.75/1.25 inverse( b ) ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 paramod(
% 0.75/1.25 clause( 2567, [ =( inverse( b ), 'least_upper_bound'( inverse( a ), inverse(
% 0.75/1.25 b ) ) ) ] )
% 0.75/1.25 , clause( 300, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.75/1.25 , 0, clause( 2565, [ =( X, 'least_upper_bound'( multiply( multiply( inverse(
% 0.75/1.25 a ), b ), X ), X ) ) ] )
% 0.75/1.25 , 0, 4, substitution( 0, [ :=( X, b ), :=( Y, inverse( a ) )] ),
% 0.75/1.25 substitution( 1, [ :=( X, inverse( b ) )] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 resolution(
% 0.75/1.25 clause( 2568, [] )
% 0.75/1.25 , clause( 2566, [ ~( =( inverse( b ), 'least_upper_bound'( inverse( a ),
% 0.75/1.25 inverse( b ) ) ) ) ] )
% 0.75/1.25 , 0, clause( 2567, [ =( inverse( b ), 'least_upper_bound'( inverse( a ),
% 0.75/1.25 inverse( b ) ) ) ] )
% 0.75/1.25 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 subsumption(
% 0.75/1.25 clause( 2330, [] )
% 0.75/1.25 , clause( 2568, [] )
% 0.75/1.25 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 end.
% 0.75/1.25
% 0.75/1.25 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.25
% 0.75/1.25 Memory use:
% 0.75/1.25
% 0.75/1.25 space for terms: 30645
% 0.75/1.25 space for clauses: 255901
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 clauses generated: 32920
% 0.75/1.25 clauses kept: 2331
% 0.75/1.25 clauses selected: 273
% 0.75/1.25 clauses deleted: 20
% 0.75/1.25 clauses inuse deleted: 6
% 0.75/1.25
% 0.75/1.25 subsentry: 4556
% 0.75/1.25 literals s-matched: 3980
% 0.75/1.25 literals matched: 3948
% 0.75/1.25 full subsumption: 0
% 0.75/1.25
% 0.75/1.25 checksum: -920991614
% 0.75/1.25
% 0.75/1.25
% 0.75/1.25 Bliksem ended
%------------------------------------------------------------------------------