TSTP Solution File: GRP001-4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP001-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 07:34:12 EDT 2022
% Result : Unsatisfiable 0.50s 1.14s
% Output : Refutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP001-4 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.15 % Command : bliksem %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Tue Jun 14 06:05:57 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.50/1.14 *** allocated 10000 integers for termspace/termends
% 0.50/1.14 *** allocated 10000 integers for clauses
% 0.50/1.14 *** allocated 10000 integers for justifications
% 0.50/1.14 Bliksem 1.12
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 Automatic Strategy Selection
% 0.50/1.14
% 0.50/1.14 Clauses:
% 0.50/1.14 [
% 0.50/1.14 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.50/1.14 ],
% 0.50/1.14 [ =( multiply( identity, X ), X ) ],
% 0.50/1.14 [ =( multiply( X, X ), identity ) ],
% 0.50/1.14 [ =( multiply( a, b ), c ) ],
% 0.50/1.14 [ ~( =( multiply( b, a ), c ) ) ]
% 0.50/1.14 ] .
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 percentage equality = 1.000000, percentage horn = 1.000000
% 0.50/1.14 This is a pure equality problem
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 Options Used:
% 0.50/1.14
% 0.50/1.14 useres = 1
% 0.50/1.14 useparamod = 1
% 0.50/1.14 useeqrefl = 1
% 0.50/1.14 useeqfact = 1
% 0.50/1.14 usefactor = 1
% 0.50/1.14 usesimpsplitting = 0
% 0.50/1.14 usesimpdemod = 5
% 0.50/1.14 usesimpres = 3
% 0.50/1.14
% 0.50/1.14 resimpinuse = 1000
% 0.50/1.14 resimpclauses = 20000
% 0.50/1.14 substype = eqrewr
% 0.50/1.14 backwardsubs = 1
% 0.50/1.14 selectoldest = 5
% 0.50/1.14
% 0.50/1.14 litorderings [0] = split
% 0.50/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.50/1.14
% 0.50/1.14 termordering = kbo
% 0.50/1.14
% 0.50/1.14 litapriori = 0
% 0.50/1.14 termapriori = 1
% 0.50/1.14 litaposteriori = 0
% 0.50/1.14 termaposteriori = 0
% 0.50/1.14 demodaposteriori = 0
% 0.50/1.14 ordereqreflfact = 0
% 0.50/1.14
% 0.50/1.14 litselect = negord
% 0.50/1.14
% 0.50/1.14 maxweight = 15
% 0.50/1.14 maxdepth = 30000
% 0.50/1.14 maxlength = 115
% 0.50/1.14 maxnrvars = 195
% 0.50/1.14 excuselevel = 1
% 0.50/1.14 increasemaxweight = 1
% 0.50/1.14
% 0.50/1.14 maxselected = 10000000
% 0.50/1.14 maxnrclauses = 10000000
% 0.50/1.14
% 0.50/1.14 showgenerated = 0
% 0.50/1.14 showkept = 0
% 0.50/1.14 showselected = 0
% 0.50/1.14 showdeleted = 0
% 0.50/1.14 showresimp = 1
% 0.50/1.14 showstatus = 2000
% 0.50/1.14
% 0.50/1.14 prologoutput = 1
% 0.50/1.14 nrgoals = 5000000
% 0.50/1.14 totalproof = 1
% 0.50/1.14
% 0.50/1.14 Symbols occurring in the translation:
% 0.50/1.14
% 0.50/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.50/1.14 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.50/1.14 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.50/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.50/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.50/1.14 multiply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.50/1.14 identity [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.50/1.14 a [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.50/1.14 b [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.50/1.14 c [46, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 Starting Search:
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 Bliksems!, er is een bewijs:
% 0.50/1.14 % SZS status Unsatisfiable
% 0.50/1.14 % SZS output start Refutation
% 0.50/1.14
% 0.50/1.14 clause( 0, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.50/1.14 , Z ) ) ] )
% 0.50/1.14 .
% 0.50/1.14 clause( 1, [ =( multiply( identity, X ), X ) ] )
% 0.50/1.14 .
% 0.50/1.14 clause( 2, [ =( multiply( X, X ), identity ) ] )
% 0.50/1.14 .
% 0.50/1.14 clause( 3, [ =( multiply( a, b ), c ) ] )
% 0.50/1.14 .
% 0.50/1.14 clause( 4, [ ~( =( multiply( b, a ), c ) ) ] )
% 0.50/1.14 .
% 0.50/1.14 clause( 5, [ =( multiply( multiply( X, a ), b ), multiply( X, c ) ) ] )
% 0.50/1.14 .
% 0.50/1.14 clause( 7, [ =( multiply( multiply( multiply( X, Y ), X ), Y ), identity )
% 0.50/1.14 ] )
% 0.50/1.14 .
% 0.50/1.14 clause( 8, [ =( multiply( multiply( Y, X ), X ), multiply( Y, identity ) )
% 0.50/1.14 ] )
% 0.50/1.14 .
% 0.50/1.14 clause( 9, [ =( multiply( a, c ), b ) ] )
% 0.50/1.14 .
% 0.50/1.14 clause( 10, [ =( multiply( multiply( X, a ), c ), multiply( X, b ) ) ] )
% 0.50/1.14 .
% 0.50/1.14 clause( 16, [ =( multiply( X, identity ), X ) ] )
% 0.50/1.14 .
% 0.50/1.14 clause( 17, [ =( multiply( multiply( X, Y ), X ), Y ) ] )
% 0.50/1.14 .
% 0.50/1.14 clause( 23, [] )
% 0.50/1.14 .
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 % SZS output end Refutation
% 0.50/1.14 found a proof!
% 0.50/1.14
% 0.50/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.50/1.14
% 0.50/1.14 initialclauses(
% 0.50/1.14 [ clause( 25, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.50/1.14 Y, Z ) ) ) ] )
% 0.50/1.14 , clause( 26, [ =( multiply( identity, X ), X ) ] )
% 0.50/1.14 , clause( 27, [ =( multiply( X, X ), identity ) ] )
% 0.50/1.14 , clause( 28, [ =( multiply( a, b ), c ) ] )
% 0.50/1.14 , clause( 29, [ ~( =( multiply( b, a ), c ) ) ] )
% 0.50/1.14 ] ).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 eqswap(
% 0.50/1.14 clause( 30, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.50/1.14 ), Z ) ) ] )
% 0.50/1.14 , clause( 25, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.50/1.14 Y, Z ) ) ) ] )
% 0.50/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 subsumption(
% 0.50/1.14 clause( 0, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.50/1.14 , Z ) ) ] )
% 0.50/1.14 , clause( 30, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X,
% 0.50/1.14 Y ), Z ) ) ] )
% 0.50/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.50/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 subsumption(
% 0.50/1.14 clause( 1, [ =( multiply( identity, X ), X ) ] )
% 0.50/1.14 , clause( 26, [ =( multiply( identity, X ), X ) ] )
% 0.50/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 subsumption(
% 0.50/1.14 clause( 2, [ =( multiply( X, X ), identity ) ] )
% 0.50/1.14 , clause( 27, [ =( multiply( X, X ), identity ) ] )
% 0.50/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 subsumption(
% 0.50/1.14 clause( 3, [ =( multiply( a, b ), c ) ] )
% 0.50/1.14 , clause( 28, [ =( multiply( a, b ), c ) ] )
% 0.50/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 subsumption(
% 0.50/1.14 clause( 4, [ ~( =( multiply( b, a ), c ) ) ] )
% 0.50/1.14 , clause( 29, [ ~( =( multiply( b, a ), c ) ) ] )
% 0.50/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 eqswap(
% 0.50/1.14 clause( 46, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.50/1.14 , Z ) ) ) ] )
% 0.50/1.14 , clause( 0, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.50/1.14 ), Z ) ) ] )
% 0.50/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 paramod(
% 0.50/1.14 clause( 48, [ =( multiply( multiply( X, a ), b ), multiply( X, c ) ) ] )
% 0.50/1.14 , clause( 3, [ =( multiply( a, b ), c ) ] )
% 0.50/1.14 , 0, clause( 46, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.50/1.14 multiply( Y, Z ) ) ) ] )
% 0.50/1.14 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, a ),
% 0.50/1.14 :=( Z, b )] )).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 subsumption(
% 0.50/1.14 clause( 5, [ =( multiply( multiply( X, a ), b ), multiply( X, c ) ) ] )
% 0.50/1.14 , clause( 48, [ =( multiply( multiply( X, a ), b ), multiply( X, c ) ) ] )
% 0.50/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 eqswap(
% 0.50/1.14 clause( 51, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.50/1.14 , Z ) ) ) ] )
% 0.50/1.14 , clause( 0, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.50/1.14 ), Z ) ) ] )
% 0.50/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 paramod(
% 0.50/1.14 clause( 55, [ =( multiply( multiply( multiply( X, Y ), X ), Y ), identity )
% 0.50/1.14 ] )
% 0.50/1.14 , clause( 2, [ =( multiply( X, X ), identity ) ] )
% 0.50/1.14 , 0, clause( 51, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.50/1.14 multiply( Y, Z ) ) ) ] )
% 0.50/1.14 , 0, 8, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.50/1.14 :=( X, multiply( X, Y ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 subsumption(
% 0.50/1.14 clause( 7, [ =( multiply( multiply( multiply( X, Y ), X ), Y ), identity )
% 0.50/1.14 ] )
% 0.50/1.14 , clause( 55, [ =( multiply( multiply( multiply( X, Y ), X ), Y ), identity
% 0.50/1.14 ) ] )
% 0.50/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.50/1.14 )] ) ).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 eqswap(
% 0.50/1.14 clause( 62, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.50/1.14 , Z ) ) ) ] )
% 0.50/1.14 , clause( 0, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.50/1.14 ), Z ) ) ] )
% 0.50/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 paramod(
% 0.50/1.14 clause( 68, [ =( multiply( multiply( X, Y ), Y ), multiply( X, identity ) )
% 0.50/1.14 ] )
% 0.50/1.14 , clause( 2, [ =( multiply( X, X ), identity ) ] )
% 0.50/1.14 , 0, clause( 62, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.50/1.14 multiply( Y, Z ) ) ) ] )
% 0.50/1.14 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.50/1.14 :=( Y, Y ), :=( Z, Y )] )).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 subsumption(
% 0.50/1.14 clause( 8, [ =( multiply( multiply( Y, X ), X ), multiply( Y, identity ) )
% 0.50/1.14 ] )
% 0.50/1.14 , clause( 68, [ =( multiply( multiply( X, Y ), Y ), multiply( X, identity )
% 0.50/1.14 ) ] )
% 0.50/1.14 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.50/1.14 )] ) ).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 eqswap(
% 0.50/1.14 clause( 74, [ =( multiply( X, c ), multiply( multiply( X, a ), b ) ) ] )
% 0.50/1.14 , clause( 5, [ =( multiply( multiply( X, a ), b ), multiply( X, c ) ) ] )
% 0.50/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 paramod(
% 0.50/1.14 clause( 77, [ =( multiply( a, c ), multiply( identity, b ) ) ] )
% 0.50/1.14 , clause( 2, [ =( multiply( X, X ), identity ) ] )
% 0.50/1.14 , 0, clause( 74, [ =( multiply( X, c ), multiply( multiply( X, a ), b ) ) ]
% 0.50/1.14 )
% 0.50/1.14 , 0, 5, substitution( 0, [ :=( X, a )] ), substitution( 1, [ :=( X, a )] )
% 0.50/1.14 ).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 paramod(
% 0.50/1.14 clause( 78, [ =( multiply( a, c ), b ) ] )
% 0.50/1.14 , clause( 1, [ =( multiply( identity, X ), X ) ] )
% 0.50/1.14 , 0, clause( 77, [ =( multiply( a, c ), multiply( identity, b ) ) ] )
% 0.50/1.14 , 0, 4, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 subsumption(
% 0.50/1.14 clause( 9, [ =( multiply( a, c ), b ) ] )
% 0.50/1.14 , clause( 78, [ =( multiply( a, c ), b ) ] )
% 0.50/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 eqswap(
% 0.50/1.14 clause( 81, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.50/1.14 , Z ) ) ) ] )
% 0.50/1.14 , clause( 0, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.50/1.14 ), Z ) ) ] )
% 0.50/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 paramod(
% 0.50/1.14 clause( 83, [ =( multiply( multiply( X, a ), c ), multiply( X, b ) ) ] )
% 0.50/1.14 , clause( 9, [ =( multiply( a, c ), b ) ] )
% 0.50/1.14 , 0, clause( 81, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.50/1.14 multiply( Y, Z ) ) ) ] )
% 0.50/1.14 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, a ),
% 0.50/1.14 :=( Z, c )] )).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 subsumption(
% 0.50/1.14 clause( 10, [ =( multiply( multiply( X, a ), c ), multiply( X, b ) ) ] )
% 0.50/1.14 , clause( 83, [ =( multiply( multiply( X, a ), c ), multiply( X, b ) ) ] )
% 0.50/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 eqswap(
% 0.50/1.14 clause( 87, [ =( multiply( X, identity ), multiply( multiply( X, Y ), Y ) )
% 0.50/1.14 ] )
% 0.50/1.14 , clause( 8, [ =( multiply( multiply( Y, X ), X ), multiply( Y, identity )
% 0.50/1.14 ) ] )
% 0.50/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 paramod(
% 0.50/1.14 clause( 90, [ =( multiply( X, identity ), multiply( identity, X ) ) ] )
% 0.50/1.14 , clause( 2, [ =( multiply( X, X ), identity ) ] )
% 0.50/1.14 , 0, clause( 87, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 0.50/1.14 Y ) ) ] )
% 0.50/1.14 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.50/1.14 :=( Y, X )] )).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 paramod(
% 0.50/1.14 clause( 91, [ =( multiply( X, identity ), X ) ] )
% 0.50/1.14 , clause( 1, [ =( multiply( identity, X ), X ) ] )
% 0.50/1.14 , 0, clause( 90, [ =( multiply( X, identity ), multiply( identity, X ) ) ]
% 0.50/1.14 )
% 0.50/1.14 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.50/1.14 ).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 subsumption(
% 0.50/1.14 clause( 16, [ =( multiply( X, identity ), X ) ] )
% 0.50/1.14 , clause( 91, [ =( multiply( X, identity ), X ) ] )
% 0.50/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 eqswap(
% 0.50/1.14 clause( 94, [ =( multiply( X, identity ), multiply( multiply( X, Y ), Y ) )
% 0.50/1.14 ] )
% 0.50/1.14 , clause( 8, [ =( multiply( multiply( Y, X ), X ), multiply( Y, identity )
% 0.50/1.14 ) ] )
% 0.50/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 paramod(
% 0.50/1.14 clause( 102, [ =( multiply( multiply( multiply( X, Y ), X ), identity ),
% 0.50/1.14 multiply( identity, Y ) ) ] )
% 0.50/1.14 , clause( 7, [ =( multiply( multiply( multiply( X, Y ), X ), Y ), identity
% 0.50/1.14 ) ] )
% 0.50/1.14 , 0, clause( 94, [ =( multiply( X, identity ), multiply( multiply( X, Y ),
% 0.50/1.14 Y ) ) ] )
% 0.50/1.14 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.50/1.14 :=( X, multiply( multiply( X, Y ), X ) ), :=( Y, Y )] )).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 paramod(
% 0.50/1.14 clause( 103, [ =( multiply( multiply( multiply( X, Y ), X ), identity ), Y
% 0.50/1.14 ) ] )
% 0.50/1.14 , clause( 1, [ =( multiply( identity, X ), X ) ] )
% 0.50/1.14 , 0, clause( 102, [ =( multiply( multiply( multiply( X, Y ), X ), identity
% 0.50/1.14 ), multiply( identity, Y ) ) ] )
% 0.50/1.14 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.50/1.14 :=( Y, Y )] )).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 paramod(
% 0.50/1.14 clause( 104, [ =( multiply( multiply( X, Y ), X ), Y ) ] )
% 0.50/1.14 , clause( 16, [ =( multiply( X, identity ), X ) ] )
% 0.50/1.14 , 0, clause( 103, [ =( multiply( multiply( multiply( X, Y ), X ), identity
% 0.50/1.14 ), Y ) ] )
% 0.50/1.14 , 0, 1, substitution( 0, [ :=( X, multiply( multiply( X, Y ), X ) )] ),
% 0.50/1.14 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 subsumption(
% 0.50/1.14 clause( 17, [ =( multiply( multiply( X, Y ), X ), Y ) ] )
% 0.50/1.14 , clause( 104, [ =( multiply( multiply( X, Y ), X ), Y ) ] )
% 0.50/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.50/1.14 )] ) ).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 eqswap(
% 0.50/1.14 clause( 107, [ =( Y, multiply( multiply( X, Y ), X ) ) ] )
% 0.50/1.14 , clause( 17, [ =( multiply( multiply( X, Y ), X ), Y ) ] )
% 0.50/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 eqswap(
% 0.50/1.14 clause( 110, [ ~( =( c, multiply( b, a ) ) ) ] )
% 0.50/1.14 , clause( 4, [ ~( =( multiply( b, a ), c ) ) ] )
% 0.50/1.14 , 0, substitution( 0, [] )).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 paramod(
% 0.50/1.14 clause( 115, [ =( c, multiply( multiply( X, b ), multiply( X, a ) ) ) ] )
% 0.50/1.14 , clause( 10, [ =( multiply( multiply( X, a ), c ), multiply( X, b ) ) ] )
% 0.50/1.14 , 0, clause( 107, [ =( Y, multiply( multiply( X, Y ), X ) ) ] )
% 0.50/1.14 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 0.50/1.14 multiply( X, a ) ), :=( Y, c )] )).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 paramod(
% 0.50/1.14 clause( 116, [ =( c, multiply( multiply( multiply( X, b ), X ), a ) ) ] )
% 0.50/1.14 , clause( 0, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.50/1.14 ), Z ) ) ] )
% 0.50/1.14 , 0, clause( 115, [ =( c, multiply( multiply( X, b ), multiply( X, a ) ) )
% 0.50/1.14 ] )
% 0.50/1.14 , 0, 2, substitution( 0, [ :=( X, multiply( X, b ) ), :=( Y, X ), :=( Z, a
% 0.50/1.14 )] ), substitution( 1, [ :=( X, X )] )).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 paramod(
% 0.50/1.14 clause( 117, [ =( c, multiply( b, a ) ) ] )
% 0.50/1.14 , clause( 17, [ =( multiply( multiply( X, Y ), X ), Y ) ] )
% 0.50/1.14 , 0, clause( 116, [ =( c, multiply( multiply( multiply( X, b ), X ), a ) )
% 0.50/1.14 ] )
% 0.50/1.14 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, b )] ), substitution( 1, [
% 0.50/1.14 :=( X, X )] )).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 resolution(
% 0.50/1.14 clause( 118, [] )
% 0.50/1.14 , clause( 110, [ ~( =( c, multiply( b, a ) ) ) ] )
% 0.50/1.14 , 0, clause( 117, [ =( c, multiply( b, a ) ) ] )
% 0.50/1.14 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 subsumption(
% 0.50/1.14 clause( 23, [] )
% 0.50/1.14 , clause( 118, [] )
% 0.50/1.14 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 end.
% 0.50/1.14
% 0.50/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.50/1.14
% 0.50/1.14 Memory use:
% 0.50/1.14
% 0.50/1.14 space for terms: 271
% 0.50/1.14 space for clauses: 2092
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 clauses generated: 140
% 0.50/1.14 clauses kept: 24
% 0.50/1.14 clauses selected: 15
% 0.50/1.14 clauses deleted: 2
% 0.50/1.14 clauses inuse deleted: 0
% 0.50/1.14
% 0.50/1.14 subsentry: 289
% 0.50/1.14 literals s-matched: 84
% 0.50/1.14 literals matched: 84
% 0.50/1.14 full subsumption: 0
% 0.50/1.14
% 0.50/1.14 checksum: -327919587
% 0.50/1.14
% 0.50/1.14
% 0.50/1.14 Bliksem ended
%------------------------------------------------------------------------------