TSTP Solution File: GRP165-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP165-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 07:35:40 EDT 2022
% Result : Unsatisfiable 0.76s 1.19s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP165-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n015.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 : Tue Jun 14 02:46:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.76/1.19 *** allocated 10000 integers for termspace/termends
% 0.76/1.19 *** allocated 10000 integers for clauses
% 0.76/1.19 *** allocated 10000 integers for justifications
% 0.76/1.19 Bliksem 1.12
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 Automatic Strategy Selection
% 0.76/1.19
% 0.76/1.19 Clauses:
% 0.76/1.19 [
% 0.76/1.19 [ =( multiply( identity, X ), X ) ],
% 0.76/1.19 [ =( multiply( inverse( X ), X ), identity ) ],
% 0.76/1.19 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.76/1.19 ],
% 0.76/1.19 [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 0.76/1.19 ,
% 0.76/1.19 [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 0.76/1.19 [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.76/1.19 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 0.76/1.19 [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ),
% 0.76/1.19 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 0.76/1.19 [ =( 'least_upper_bound'( X, X ), X ) ],
% 0.76/1.19 [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 0.76/1.19 [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 0.76/1.19 ,
% 0.76/1.19 [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 0.76/1.19 ,
% 0.76/1.19 [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'(
% 0.76/1.19 multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.76/1.19 [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.76/1.19 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.76/1.19 [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'(
% 0.76/1.19 multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.76/1.19 [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.76/1.19 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.76/1.19 [ =( 'least_upper_bound'( a, identity ), a ) ],
% 0.76/1.19 [ ~( =( 'least_upper_bound'( a, multiply( a, a ) ), multiply( a, a ) ) )
% 0.76/1.19 ]
% 0.76/1.19 ] .
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 percentage equality = 1.000000, percentage horn = 1.000000
% 0.76/1.19 This is a pure equality problem
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 Options Used:
% 0.76/1.19
% 0.76/1.19 useres = 1
% 0.76/1.19 useparamod = 1
% 0.76/1.19 useeqrefl = 1
% 0.76/1.19 useeqfact = 1
% 0.76/1.19 usefactor = 1
% 0.76/1.19 usesimpsplitting = 0
% 0.76/1.19 usesimpdemod = 5
% 0.76/1.19 usesimpres = 3
% 0.76/1.19
% 0.76/1.19 resimpinuse = 1000
% 0.76/1.19 resimpclauses = 20000
% 0.76/1.19 substype = eqrewr
% 0.76/1.19 backwardsubs = 1
% 0.76/1.19 selectoldest = 5
% 0.76/1.19
% 0.76/1.19 litorderings [0] = split
% 0.76/1.19 litorderings [1] = extend the termordering, first sorting on arguments
% 0.76/1.19
% 0.76/1.19 termordering = kbo
% 0.76/1.19
% 0.76/1.19 litapriori = 0
% 0.76/1.19 termapriori = 1
% 0.76/1.19 litaposteriori = 0
% 0.76/1.19 termaposteriori = 0
% 0.76/1.19 demodaposteriori = 0
% 0.76/1.19 ordereqreflfact = 0
% 0.76/1.19
% 0.76/1.19 litselect = negord
% 0.76/1.19
% 0.76/1.19 maxweight = 15
% 0.76/1.19 maxdepth = 30000
% 0.76/1.19 maxlength = 115
% 0.76/1.19 maxnrvars = 195
% 0.76/1.19 excuselevel = 1
% 0.76/1.19 increasemaxweight = 1
% 0.76/1.19
% 0.76/1.19 maxselected = 10000000
% 0.76/1.19 maxnrclauses = 10000000
% 0.76/1.19
% 0.76/1.19 showgenerated = 0
% 0.76/1.19 showkept = 0
% 0.76/1.19 showselected = 0
% 0.76/1.19 showdeleted = 0
% 0.76/1.19 showresimp = 1
% 0.76/1.19 showstatus = 2000
% 0.76/1.19
% 0.76/1.19 prologoutput = 1
% 0.76/1.19 nrgoals = 5000000
% 0.76/1.19 totalproof = 1
% 0.76/1.19
% 0.76/1.19 Symbols occurring in the translation:
% 0.76/1.19
% 0.76/1.19 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.76/1.19 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.76/1.19 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.76/1.19 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.19 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.19 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.76/1.19 multiply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.76/1.19 inverse [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.76/1.19 'greatest_lower_bound' [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.76/1.19 'least_upper_bound' [46, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.76/1.19 a [47, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 Starting Search:
% 0.76/1.19
% 0.76/1.19 Resimplifying inuse:
% 0.76/1.19
% 0.76/1.19 Bliksems!, er is een bewijs:
% 0.76/1.19 % SZS status Unsatisfiable
% 0.76/1.19 % SZS output start Refutation
% 0.76/1.19
% 0.76/1.19 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.76/1.19 , Z ) ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 0.76/1.19 X ) ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 0.76/1.19 ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 0.76/1.19 ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 0.76/1.19 X ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 0.76/1.19 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 15, [ =( 'least_upper_bound'( a, identity ), a ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 16, [ ~( =( 'least_upper_bound'( a, multiply( a, a ) ), multiply( a
% 0.76/1.19 , a ) ) ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.76/1.19 identity ) ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.76/1.19 ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 20, [ =( 'least_upper_bound'( identity, a ), a ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 22, [ =( 'greatest_lower_bound'( identity, a ), identity ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 52, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 0.76/1.19 X ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 131, [ ~( =( 'least_upper_bound'( multiply( a, a ), a ), multiply(
% 0.76/1.19 a, a ) ) ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 151, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 156, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.76/1.19 ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 157, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 0.76/1.19 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 285, [ =( multiply( X, identity ), X ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 787, [ =( 'greatest_lower_bound'( X, multiply( X, a ) ), X ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 821, [ =( 'least_upper_bound'( multiply( X, a ), X ), multiply( X,
% 0.76/1.19 a ) ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 1008, [] )
% 0.76/1.19 .
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 % SZS output end Refutation
% 0.76/1.19 found a proof!
% 0.76/1.19
% 0.76/1.19 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.19
% 0.76/1.19 initialclauses(
% 0.76/1.19 [ clause( 1010, [ =( multiply( identity, X ), X ) ] )
% 0.76/1.19 , clause( 1011, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.76/1.19 , clause( 1012, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.76/1.19 Y, Z ) ) ) ] )
% 0.76/1.19 , clause( 1013, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.76/1.19 Y, X ) ) ] )
% 0.76/1.19 , clause( 1014, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.76/1.19 ) ) ] )
% 0.76/1.19 , clause( 1015, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y,
% 0.76/1.19 Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.76/1.19 , clause( 1016, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 0.76/1.19 , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.76/1.19 , clause( 1017, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 0.76/1.19 , clause( 1018, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 0.76/1.19 , clause( 1019, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y )
% 0.76/1.19 ), X ) ] )
% 0.76/1.19 , clause( 1020, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y )
% 0.76/1.19 ), X ) ] )
% 0.76/1.19 , clause( 1021, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ),
% 0.76/1.19 'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.76/1.19 , clause( 1022, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.76/1.19 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.76/1.19 , clause( 1023, [ =( multiply( 'least_upper_bound'( X, Y ), Z ),
% 0.76/1.19 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.76/1.19 , clause( 1024, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ),
% 0.76/1.19 'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.76/1.19 , clause( 1025, [ =( 'least_upper_bound'( a, identity ), a ) ] )
% 0.76/1.19 , clause( 1026, [ ~( =( 'least_upper_bound'( a, multiply( a, a ) ),
% 0.76/1.19 multiply( a, a ) ) ) ] )
% 0.76/1.19 ] ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.76/1.19 , clause( 1010, [ =( multiply( identity, X ), X ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.76/1.19 , clause( 1011, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1032, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X,
% 0.76/1.19 Y ), Z ) ) ] )
% 0.76/1.19 , clause( 1012, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.76/1.19 Y, Z ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.76/1.19 , Z ) ) ] )
% 0.76/1.19 , clause( 1032, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.76/1.19 , Y ), Z ) ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y,
% 0.76/1.19 X ) ) ] )
% 0.76/1.19 , clause( 1013, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'(
% 0.76/1.19 Y, X ) ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.19 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 0.76/1.19 ] )
% 0.76/1.19 , clause( 1014, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.76/1.19 ) ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.19 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X
% 0.76/1.19 ) ] )
% 0.76/1.19 , clause( 1019, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y )
% 0.76/1.19 ), X ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.19 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ),
% 0.76/1.19 X ) ] )
% 0.76/1.19 , clause( 1020, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y )
% 0.76/1.19 ), X ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.19 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1066, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 0.76/1.19 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.76/1.19 , clause( 1022, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.76/1.19 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z )
% 0.76/1.19 ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.76/1.19 , clause( 1066, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X
% 0.76/1.19 , Z ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 15, [ =( 'least_upper_bound'( a, identity ), a ) ] )
% 0.76/1.19 , clause( 1025, [ =( 'least_upper_bound'( a, identity ), a ) ] )
% 0.76/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 16, [ ~( =( 'least_upper_bound'( a, multiply( a, a ) ), multiply( a
% 0.76/1.19 , a ) ) ) ] )
% 0.76/1.19 , clause( 1026, [ ~( =( 'least_upper_bound'( a, multiply( a, a ) ),
% 0.76/1.19 multiply( a, a ) ) ) ] )
% 0.76/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1097, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.76/1.19 Y, Z ) ) ) ] )
% 0.76/1.19 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.76/1.19 ), Z ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1102, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply( X
% 0.76/1.19 , identity ) ) ] )
% 0.76/1.19 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.76/1.19 , 0, clause( 1097, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.76/1.19 multiply( Y, Z ) ) ) ] )
% 0.76/1.19 , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.19 :=( Y, inverse( Y ) ), :=( Z, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y,
% 0.76/1.19 identity ) ) ] )
% 0.76/1.19 , clause( 1102, [ =( multiply( multiply( X, inverse( Y ) ), Y ), multiply(
% 0.76/1.19 X, identity ) ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.19 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1107, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.76/1.19 Y, Z ) ) ) ] )
% 0.76/1.19 , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.76/1.19 ), Z ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1112, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.76/1.19 ) ] )
% 0.76/1.19 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.76/1.19 , 0, clause( 1107, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.76/1.19 multiply( Y, Z ) ) ) ] )
% 0.76/1.19 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.19 :=( Y, identity ), :=( Z, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.76/1.19 ] )
% 0.76/1.19 , clause( 1112, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y
% 0.76/1.19 ) ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.19 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1117, [ =( a, 'least_upper_bound'( a, identity ) ) ] )
% 0.76/1.19 , clause( 15, [ =( 'least_upper_bound'( a, identity ), a ) ] )
% 0.76/1.19 , 0, substitution( 0, [] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1118, [ =( a, 'least_upper_bound'( identity, a ) ) ] )
% 0.76/1.19 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 0.76/1.19 ) ] )
% 0.76/1.19 , 0, clause( 1117, [ =( a, 'least_upper_bound'( a, identity ) ) ] )
% 0.76/1.19 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, identity )] ), substitution(
% 0.76/1.19 1, [] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1121, [ =( 'least_upper_bound'( identity, a ), a ) ] )
% 0.76/1.19 , clause( 1118, [ =( a, 'least_upper_bound'( identity, a ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 20, [ =( 'least_upper_bound'( identity, a ), a ) ] )
% 0.76/1.19 , clause( 1121, [ =( 'least_upper_bound'( identity, a ), a ) ] )
% 0.76/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1123, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y
% 0.76/1.19 ) ) ) ] )
% 0.76/1.19 , clause( 10, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) )
% 0.76/1.19 , X ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1124, [ =( identity, 'greatest_lower_bound'( identity, a ) ) ] )
% 0.76/1.19 , clause( 20, [ =( 'least_upper_bound'( identity, a ), a ) ] )
% 0.76/1.19 , 0, clause( 1123, [ =( X, 'greatest_lower_bound'( X, 'least_upper_bound'(
% 0.76/1.19 X, Y ) ) ) ] )
% 0.76/1.19 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 0.76/1.19 , a )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1125, [ =( 'greatest_lower_bound'( identity, a ), identity ) ] )
% 0.76/1.19 , clause( 1124, [ =( identity, 'greatest_lower_bound'( identity, a ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 22, [ =( 'greatest_lower_bound'( identity, a ), identity ) ] )
% 0.76/1.19 , clause( 1125, [ =( 'greatest_lower_bound'( identity, a ), identity ) ] )
% 0.76/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1126, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y
% 0.76/1.19 ) ) ) ] )
% 0.76/1.19 , clause( 9, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) )
% 0.76/1.19 , X ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1127, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 0.76/1.19 ) ) ) ] )
% 0.76/1.19 , clause( 3, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y
% 0.76/1.19 , X ) ) ] )
% 0.76/1.19 , 0, clause( 1126, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 0.76/1.19 X, Y ) ) ) ] )
% 0.76/1.19 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.76/1.19 :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1130, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 0.76/1.19 , X ) ] )
% 0.76/1.19 , clause( 1127, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y,
% 0.76/1.19 X ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 52, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) ),
% 0.76/1.19 X ) ] )
% 0.76/1.19 , clause( 1130, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X )
% 0.76/1.19 ), X ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.19 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1131, [ ~( =( multiply( a, a ), 'least_upper_bound'( a, multiply( a
% 0.76/1.19 , a ) ) ) ) ] )
% 0.76/1.19 , clause( 16, [ ~( =( 'least_upper_bound'( a, multiply( a, a ) ), multiply(
% 0.76/1.19 a, a ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1132, [ ~( =( multiply( a, a ), 'least_upper_bound'( multiply( a, a
% 0.76/1.19 ), a ) ) ) ] )
% 0.76/1.19 , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 0.76/1.19 ) ] )
% 0.76/1.19 , 0, clause( 1131, [ ~( =( multiply( a, a ), 'least_upper_bound'( a,
% 0.76/1.19 multiply( a, a ) ) ) ) ] )
% 0.76/1.19 , 0, 5, substitution( 0, [ :=( X, a ), :=( Y, multiply( a, a ) )] ),
% 0.76/1.19 substitution( 1, [] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1135, [ ~( =( 'least_upper_bound'( multiply( a, a ), a ), multiply(
% 0.76/1.19 a, a ) ) ) ] )
% 0.76/1.19 , clause( 1132, [ ~( =( multiply( a, a ), 'least_upper_bound'( multiply( a
% 0.76/1.19 , a ), a ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 131, [ ~( =( 'least_upper_bound'( multiply( a, a ), a ), multiply(
% 0.76/1.19 a, a ) ) ) ] )
% 0.76/1.19 , clause( 1135, [ ~( =( 'least_upper_bound'( multiply( a, a ), a ),
% 0.76/1.19 multiply( a, a ) ) ) ] )
% 0.76/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1137, [ =( multiply( X, identity ), multiply( multiply( X, inverse(
% 0.76/1.19 Y ) ), Y ) ) ] )
% 0.76/1.19 , clause( 18, [ =( multiply( multiply( Y, inverse( X ) ), X ), multiply( Y
% 0.76/1.19 , identity ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1140, [ =( multiply( inverse( inverse( X ) ), identity ), multiply(
% 0.76/1.19 identity, X ) ) ] )
% 0.76/1.19 , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.76/1.19 , 0, clause( 1137, [ =( multiply( X, identity ), multiply( multiply( X,
% 0.76/1.19 inverse( Y ) ), Y ) ) ] )
% 0.76/1.19 , 0, 7, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [
% 0.76/1.19 :=( X, inverse( inverse( X ) ) ), :=( Y, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1141, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.76/1.19 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.76/1.19 , 0, clause( 1140, [ =( multiply( inverse( inverse( X ) ), identity ),
% 0.76/1.19 multiply( identity, X ) ) ] )
% 0.76/1.19 , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.76/1.19 ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 151, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.76/1.19 , clause( 1141, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ]
% 0.76/1.19 )
% 0.76/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1144, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y )
% 0.76/1.19 ) ] )
% 0.76/1.19 , clause( 19, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 0.76/1.19 ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1147, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.76/1.19 ) ] )
% 0.76/1.19 , clause( 151, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.76/1.19 , 0, clause( 1144, [ =( multiply( X, Y ), multiply( multiply( X, identity )
% 0.76/1.19 , Y ) ) ] )
% 0.76/1.19 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.76/1.19 inverse( X ) ) ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 156, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y )
% 0.76/1.19 ) ] )
% 0.76/1.19 , clause( 1147, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.76/1.19 ) ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.19 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1154, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.76/1.19 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.76/1.19 , clause( 12, [ =( 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z
% 0.76/1.19 ) ), multiply( X, 'greatest_lower_bound'( Y, Z ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1157, [ =( multiply( inverse( inverse( X ) ),
% 0.76/1.19 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 0.76/1.19 multiply( inverse( inverse( X ) ), Y ) ) ) ] )
% 0.76/1.19 , clause( 151, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.76/1.19 , 0, clause( 1154, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ),
% 0.76/1.19 'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.76/1.19 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse(
% 0.76/1.19 inverse( X ) ) ), :=( Y, identity ), :=( Z, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1167, [ =( multiply( inverse( inverse( X ) ),
% 0.76/1.19 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 0.76/1.19 multiply( X, Y ) ) ) ] )
% 0.76/1.19 , clause( 156, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.76/1.19 ) ) ] )
% 0.76/1.19 , 0, clause( 1157, [ =( multiply( inverse( inverse( X ) ),
% 0.76/1.19 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 0.76/1.19 multiply( inverse( inverse( X ) ), Y ) ) ) ] )
% 0.76/1.19 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.76/1.19 :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1169, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 0.76/1.19 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 0.76/1.19 , clause( 156, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.76/1.19 ) ) ] )
% 0.76/1.19 , 0, clause( 1167, [ =( multiply( inverse( inverse( X ) ),
% 0.76/1.19 'greatest_lower_bound'( identity, Y ) ), 'greatest_lower_bound'( X,
% 0.76/1.19 multiply( X, Y ) ) ) ] )
% 0.76/1.19 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'greatest_lower_bound'(
% 0.76/1.19 identity, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1170, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 0.76/1.19 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.76/1.19 , clause( 1169, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 0.76/1.19 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 157, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 0.76/1.19 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.76/1.19 , clause( 1170, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ),
% 0.76/1.19 multiply( X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.19 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1171, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) ), Y )
% 0.76/1.19 ) ] )
% 0.76/1.19 , clause( 156, [ =( multiply( inverse( inverse( X ) ), Y ), multiply( X, Y
% 0.76/1.19 ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1174, [ =( multiply( X, identity ), X ) ] )
% 0.76/1.19 , clause( 151, [ =( multiply( inverse( inverse( X ) ), identity ), X ) ] )
% 0.76/1.19 , 0, clause( 1171, [ =( multiply( X, Y ), multiply( inverse( inverse( X ) )
% 0.76/1.19 , Y ) ) ] )
% 0.76/1.19 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.76/1.19 :=( Y, identity )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 285, [ =( multiply( X, identity ), X ) ] )
% 0.76/1.19 , clause( 1174, [ =( multiply( X, identity ), X ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1180, [ =( multiply( X, 'greatest_lower_bound'( identity, Y ) ),
% 0.76/1.19 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 0.76/1.19 , clause( 157, [ =( 'greatest_lower_bound'( X, multiply( X, Y ) ), multiply(
% 0.76/1.19 X, 'greatest_lower_bound'( identity, Y ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1182, [ =( multiply( X, identity ), 'greatest_lower_bound'( X,
% 0.76/1.19 multiply( X, a ) ) ) ] )
% 0.76/1.19 , clause( 22, [ =( 'greatest_lower_bound'( identity, a ), identity ) ] )
% 0.76/1.19 , 0, clause( 1180, [ =( multiply( X, 'greatest_lower_bound'( identity, Y )
% 0.76/1.19 ), 'greatest_lower_bound'( X, multiply( X, Y ) ) ) ] )
% 0.76/1.19 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, a )] )
% 0.76/1.19 ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1183, [ =( X, 'greatest_lower_bound'( X, multiply( X, a ) ) ) ] )
% 0.76/1.19 , clause( 285, [ =( multiply( X, identity ), X ) ] )
% 0.76/1.19 , 0, clause( 1182, [ =( multiply( X, identity ), 'greatest_lower_bound'( X
% 0.76/1.19 , multiply( X, a ) ) ) ] )
% 0.76/1.19 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.76/1.19 ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1184, [ =( 'greatest_lower_bound'( X, multiply( X, a ) ), X ) ] )
% 0.76/1.19 , clause( 1183, [ =( X, 'greatest_lower_bound'( X, multiply( X, a ) ) ) ]
% 0.76/1.19 )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 787, [ =( 'greatest_lower_bound'( X, multiply( X, a ) ), X ) ] )
% 0.76/1.19 , clause( 1184, [ =( 'greatest_lower_bound'( X, multiply( X, a ) ), X ) ]
% 0.76/1.19 )
% 0.76/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1186, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X
% 0.76/1.19 ) ) ) ] )
% 0.76/1.19 , clause( 52, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( Y, X ) )
% 0.76/1.19 , X ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1187, [ =( multiply( X, a ), 'least_upper_bound'( multiply( X, a )
% 0.76/1.19 , X ) ) ] )
% 0.76/1.19 , clause( 787, [ =( 'greatest_lower_bound'( X, multiply( X, a ) ), X ) ] )
% 0.76/1.19 , 0, clause( 1186, [ =( X, 'least_upper_bound'( X, 'greatest_lower_bound'(
% 0.76/1.19 Y, X ) ) ) ] )
% 0.76/1.19 , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.76/1.19 multiply( X, a ) ), :=( Y, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqswap(
% 0.76/1.19 clause( 1188, [ =( 'least_upper_bound'( multiply( X, a ), X ), multiply( X
% 0.76/1.19 , a ) ) ] )
% 0.76/1.19 , clause( 1187, [ =( multiply( X, a ), 'least_upper_bound'( multiply( X, a
% 0.76/1.19 ), X ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [ :=( X, X )] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 821, [ =( 'least_upper_bound'( multiply( X, a ), X ), multiply( X,
% 0.76/1.19 a ) ) ] )
% 0.76/1.19 , clause( 1188, [ =( 'least_upper_bound'( multiply( X, a ), X ), multiply(
% 0.76/1.19 X, a ) ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 paramod(
% 0.76/1.19 clause( 1191, [ ~( =( multiply( a, a ), multiply( a, a ) ) ) ] )
% 0.76/1.19 , clause( 821, [ =( 'least_upper_bound'( multiply( X, a ), X ), multiply( X
% 0.76/1.19 , a ) ) ] )
% 0.76/1.19 , 0, clause( 131, [ ~( =( 'least_upper_bound'( multiply( a, a ), a ),
% 0.76/1.19 multiply( a, a ) ) ) ] )
% 0.76/1.19 , 0, 2, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 eqrefl(
% 0.76/1.19 clause( 1192, [] )
% 0.76/1.19 , clause( 1191, [ ~( =( multiply( a, a ), multiply( a, a ) ) ) ] )
% 0.76/1.19 , 0, substitution( 0, [] )).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 1008, [] )
% 0.76/1.19 , clause( 1192, [] )
% 0.76/1.19 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 end.
% 0.76/1.19
% 0.76/1.19 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.19
% 0.76/1.19 Memory use:
% 0.76/1.19
% 0.76/1.19 space for terms: 13282
% 0.76/1.19 space for clauses: 108583
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 clauses generated: 13354
% 0.76/1.19 clauses kept: 1009
% 0.76/1.19 clauses selected: 151
% 0.76/1.19 clauses deleted: 9
% 0.76/1.19 clauses inuse deleted: 4
% 0.76/1.19
% 0.76/1.19 subsentry: 3323
% 0.76/1.19 literals s-matched: 2906
% 0.76/1.19 literals matched: 2894
% 0.76/1.19 full subsumption: 0
% 0.76/1.19
% 0.76/1.19 checksum: 666333272
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 Bliksem ended
%------------------------------------------------------------------------------