TSTP Solution File: GRP710-11 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP710-11 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:39:11 EDT 2022
% Result : Unsatisfiable 0.41s 1.06s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP710-11 : TPTP v8.1.0. Released v8.1.0.
% 0.10/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jun 13 10:25:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.41/1.06 *** allocated 10000 integers for termspace/termends
% 0.41/1.06 *** allocated 10000 integers for clauses
% 0.41/1.06 *** allocated 10000 integers for justifications
% 0.41/1.06 Bliksem 1.12
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 Automatic Strategy Selection
% 0.41/1.06
% 0.41/1.06 Clauses:
% 0.41/1.06 [
% 0.41/1.06 [ =( mult( X, unit ), X ) ],
% 0.41/1.06 [ =( mult( unit, X ), X ) ],
% 0.41/1.06 [ =( mult( X, mult( Y, mult( Y, Z ) ) ), mult( mult( mult( X, Y ), Y ),
% 0.41/1.06 Z ) ) ],
% 0.41/1.06 [ =( mult( X, i( X ) ), unit ) ],
% 0.41/1.06 [ =( mult( i( X ), X ), unit ) ],
% 0.41/1.06 [ ~( =( mult( X, x4 ), x3 ) ) ]
% 0.41/1.06 ] .
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 percentage equality = 1.000000, percentage horn = 1.000000
% 0.41/1.06 This is a pure equality problem
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 Options Used:
% 0.41/1.06
% 0.41/1.06 useres = 1
% 0.41/1.06 useparamod = 1
% 0.41/1.06 useeqrefl = 1
% 0.41/1.06 useeqfact = 1
% 0.41/1.06 usefactor = 1
% 0.41/1.06 usesimpsplitting = 0
% 0.41/1.06 usesimpdemod = 5
% 0.41/1.06 usesimpres = 3
% 0.41/1.06
% 0.41/1.06 resimpinuse = 1000
% 0.41/1.06 resimpclauses = 20000
% 0.41/1.06 substype = eqrewr
% 0.41/1.06 backwardsubs = 1
% 0.41/1.06 selectoldest = 5
% 0.41/1.06
% 0.41/1.06 litorderings [0] = split
% 0.41/1.06 litorderings [1] = extend the termordering, first sorting on arguments
% 0.41/1.06
% 0.41/1.06 termordering = kbo
% 0.41/1.06
% 0.41/1.06 litapriori = 0
% 0.41/1.06 termapriori = 1
% 0.41/1.06 litaposteriori = 0
% 0.41/1.06 termaposteriori = 0
% 0.41/1.06 demodaposteriori = 0
% 0.41/1.06 ordereqreflfact = 0
% 0.41/1.06
% 0.41/1.06 litselect = negord
% 0.41/1.06
% 0.41/1.06 maxweight = 15
% 0.41/1.06 maxdepth = 30000
% 0.41/1.06 maxlength = 115
% 0.41/1.06 maxnrvars = 195
% 0.41/1.06 excuselevel = 1
% 0.41/1.06 increasemaxweight = 1
% 0.41/1.06
% 0.41/1.06 maxselected = 10000000
% 0.41/1.06 maxnrclauses = 10000000
% 0.41/1.06
% 0.41/1.06 showgenerated = 0
% 0.41/1.06 showkept = 0
% 0.41/1.06 showselected = 0
% 0.41/1.06 showdeleted = 0
% 0.41/1.06 showresimp = 1
% 0.41/1.06 showstatus = 2000
% 0.41/1.06
% 0.41/1.06 prologoutput = 1
% 0.41/1.06 nrgoals = 5000000
% 0.41/1.06 totalproof = 1
% 0.41/1.06
% 0.41/1.06 Symbols occurring in the translation:
% 0.41/1.06
% 0.41/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.41/1.06 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.41/1.06 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.41/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.41/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.41/1.06 unit [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.41/1.06 mult [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.41/1.06 i [44, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.41/1.06 x4 [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.41/1.06 x3 [47, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 Starting Search:
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 Bliksems!, er is een bewijs:
% 0.41/1.06 % SZS status Unsatisfiable
% 0.41/1.06 % SZS output start Refutation
% 0.41/1.06
% 0.41/1.06 clause( 0, [ =( mult( X, unit ), X ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 1, [ =( mult( unit, X ), X ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 2, [ =( mult( X, mult( Y, mult( Y, Z ) ) ), mult( mult( mult( X, Y
% 0.41/1.06 ), Y ), Z ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 3, [ =( mult( X, i( X ) ), unit ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 4, [ =( mult( i( X ), X ), unit ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 5, [ ~( =( mult( X, x4 ), x3 ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 12, [ =( mult( mult( mult( Y, i( X ) ), i( X ) ), X ), mult( Y, i(
% 0.41/1.06 X ) ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 14, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 15, [ =( mult( mult( mult( Y, X ), X ), i( X ) ), mult( Y, X ) ) ]
% 0.41/1.06 )
% 0.41/1.06 .
% 0.41/1.06 clause( 21, [ =( mult( mult( X, X ), i( X ) ), X ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 22, [ =( mult( Z, mult( mult( X, X ), Y ) ), mult( mult( mult( Z, X
% 0.41/1.06 ), X ), Y ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 25, [ =( mult( mult( mult( X, Y ), i( Y ) ), i( i( Y ) ) ), mult( X
% 0.41/1.06 , Y ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 26, [ =( i( i( X ) ), X ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 29, [ =( mult( mult( mult( X, Y ), i( Y ) ), Y ), mult( X, Y ) ) ]
% 0.41/1.06 )
% 0.41/1.06 .
% 0.41/1.06 clause( 31, [ ~( =( mult( X, i( x4 ) ), x3 ) ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 34, [ =( mult( mult( mult( Y, X ), X ), i( mult( X, X ) ) ), Y ) ]
% 0.41/1.06 )
% 0.41/1.06 .
% 0.41/1.06 clause( 39, [ =( mult( mult( X, Y ), i( Y ) ), X ) ] )
% 0.41/1.06 .
% 0.41/1.06 clause( 41, [] )
% 0.41/1.06 .
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 % SZS output end Refutation
% 0.41/1.06 found a proof!
% 0.41/1.06
% 0.41/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.06
% 0.41/1.06 initialclauses(
% 0.41/1.06 [ clause( 43, [ =( mult( X, unit ), X ) ] )
% 0.41/1.06 , clause( 44, [ =( mult( unit, X ), X ) ] )
% 0.41/1.06 , clause( 45, [ =( mult( X, mult( Y, mult( Y, Z ) ) ), mult( mult( mult( X
% 0.41/1.06 , Y ), Y ), Z ) ) ] )
% 0.41/1.06 , clause( 46, [ =( mult( X, i( X ) ), unit ) ] )
% 0.41/1.06 , clause( 47, [ =( mult( i( X ), X ), unit ) ] )
% 0.41/1.06 , clause( 48, [ ~( =( mult( X, x4 ), x3 ) ) ] )
% 0.41/1.06 ] ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 0, [ =( mult( X, unit ), X ) ] )
% 0.41/1.06 , clause( 43, [ =( mult( X, unit ), X ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 1, [ =( mult( unit, X ), X ) ] )
% 0.41/1.06 , clause( 44, [ =( mult( unit, X ), X ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 2, [ =( mult( X, mult( Y, mult( Y, Z ) ) ), mult( mult( mult( X, Y
% 0.41/1.06 ), Y ), Z ) ) ] )
% 0.41/1.06 , clause( 45, [ =( mult( X, mult( Y, mult( Y, Z ) ) ), mult( mult( mult( X
% 0.41/1.06 , Y ), Y ), Z ) ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.41/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 3, [ =( mult( X, i( X ) ), unit ) ] )
% 0.41/1.06 , clause( 46, [ =( mult( X, i( X ) ), unit ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 4, [ =( mult( i( X ), X ), unit ) ] )
% 0.41/1.06 , clause( 47, [ =( mult( i( X ), X ), unit ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 5, [ ~( =( mult( X, x4 ), x3 ) ) ] )
% 0.41/1.06 , clause( 48, [ ~( =( mult( X, x4 ), x3 ) ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 71, [ =( mult( mult( mult( X, Y ), Y ), Z ), mult( X, mult( Y, mult(
% 0.41/1.06 Y, Z ) ) ) ) ] )
% 0.41/1.06 , clause( 2, [ =( mult( X, mult( Y, mult( Y, Z ) ) ), mult( mult( mult( X,
% 0.41/1.06 Y ), Y ), Z ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 76, [ =( mult( mult( mult( X, i( Y ) ), i( Y ) ), Y ), mult( X,
% 0.41/1.06 mult( i( Y ), unit ) ) ) ] )
% 0.41/1.06 , clause( 4, [ =( mult( i( X ), X ), unit ) ] )
% 0.41/1.06 , 0, clause( 71, [ =( mult( mult( mult( X, Y ), Y ), Z ), mult( X, mult( Y
% 0.41/1.06 , mult( Y, Z ) ) ) ) ] )
% 0.41/1.06 , 0, 15, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.41/1.06 :=( Y, i( Y ) ), :=( Z, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 77, [ =( mult( mult( mult( X, i( Y ) ), i( Y ) ), Y ), mult( X, i(
% 0.41/1.06 Y ) ) ) ] )
% 0.41/1.06 , clause( 0, [ =( mult( X, unit ), X ) ] )
% 0.41/1.06 , 0, clause( 76, [ =( mult( mult( mult( X, i( Y ) ), i( Y ) ), Y ), mult( X
% 0.41/1.06 , mult( i( Y ), unit ) ) ) ] )
% 0.41/1.06 , 0, 12, substitution( 0, [ :=( X, i( Y ) )] ), substitution( 1, [ :=( X, X
% 0.41/1.06 ), :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 12, [ =( mult( mult( mult( Y, i( X ) ), i( X ) ), X ), mult( Y, i(
% 0.41/1.06 X ) ) ) ] )
% 0.41/1.06 , clause( 77, [ =( mult( mult( mult( X, i( Y ) ), i( Y ) ), Y ), mult( X, i(
% 0.41/1.06 Y ) ) ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.06 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 79, [ =( mult( mult( mult( X, Y ), Y ), Z ), mult( X, mult( Y, mult(
% 0.41/1.06 Y, Z ) ) ) ) ] )
% 0.41/1.06 , clause( 2, [ =( mult( X, mult( Y, mult( Y, Z ) ) ), mult( mult( mult( X,
% 0.41/1.06 Y ), Y ), Z ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 83, [ =( mult( mult( mult( unit, X ), X ), Y ), mult( X, mult( X, Y
% 0.41/1.06 ) ) ) ] )
% 0.41/1.06 , clause( 1, [ =( mult( unit, X ), X ) ] )
% 0.41/1.06 , 0, clause( 79, [ =( mult( mult( mult( X, Y ), Y ), Z ), mult( X, mult( Y
% 0.41/1.06 , mult( Y, Z ) ) ) ) ] )
% 0.41/1.06 , 0, 8, substitution( 0, [ :=( X, mult( X, mult( X, Y ) ) )] ),
% 0.41/1.06 substitution( 1, [ :=( X, unit ), :=( Y, X ), :=( Z, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 89, [ =( mult( mult( X, X ), Y ), mult( X, mult( X, Y ) ) ) ] )
% 0.41/1.06 , clause( 1, [ =( mult( unit, X ), X ) ] )
% 0.41/1.06 , 0, clause( 83, [ =( mult( mult( mult( unit, X ), X ), Y ), mult( X, mult(
% 0.41/1.06 X, Y ) ) ) ] )
% 0.41/1.06 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.41/1.06 :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 90, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 0.41/1.06 , clause( 89, [ =( mult( mult( X, X ), Y ), mult( X, mult( X, Y ) ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 14, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 0.41/1.06 , clause( 90, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.06 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 92, [ =( mult( mult( mult( X, Y ), Y ), Z ), mult( X, mult( Y, mult(
% 0.41/1.06 Y, Z ) ) ) ) ] )
% 0.41/1.06 , clause( 2, [ =( mult( X, mult( Y, mult( Y, Z ) ) ), mult( mult( mult( X,
% 0.41/1.06 Y ), Y ), Z ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 96, [ =( mult( mult( mult( X, Y ), Y ), i( Y ) ), mult( X, mult( Y
% 0.41/1.06 , unit ) ) ) ] )
% 0.41/1.06 , clause( 3, [ =( mult( X, i( X ) ), unit ) ] )
% 0.41/1.06 , 0, clause( 92, [ =( mult( mult( mult( X, Y ), Y ), Z ), mult( X, mult( Y
% 0.41/1.06 , mult( Y, Z ) ) ) ) ] )
% 0.41/1.06 , 0, 13, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.41/1.06 :=( Y, Y ), :=( Z, i( Y ) )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 97, [ =( mult( mult( mult( X, Y ), Y ), i( Y ) ), mult( X, Y ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , clause( 0, [ =( mult( X, unit ), X ) ] )
% 0.41/1.06 , 0, clause( 96, [ =( mult( mult( mult( X, Y ), Y ), i( Y ) ), mult( X,
% 0.41/1.06 mult( Y, unit ) ) ) ] )
% 0.41/1.06 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.41/1.06 :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 15, [ =( mult( mult( mult( Y, X ), X ), i( X ) ), mult( Y, X ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , clause( 97, [ =( mult( mult( mult( X, Y ), Y ), i( Y ) ), mult( X, Y ) )
% 0.41/1.06 ] )
% 0.41/1.06 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.06 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 100, [ =( mult( mult( X, X ), Y ), mult( X, mult( X, Y ) ) ) ] )
% 0.41/1.06 , clause( 14, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 103, [ =( mult( mult( X, X ), i( X ) ), mult( X, unit ) ) ] )
% 0.41/1.06 , clause( 3, [ =( mult( X, i( X ) ), unit ) ] )
% 0.41/1.06 , 0, clause( 100, [ =( mult( mult( X, X ), Y ), mult( X, mult( X, Y ) ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.41/1.06 :=( Y, i( X ) )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 104, [ =( mult( mult( X, X ), i( X ) ), X ) ] )
% 0.41/1.06 , clause( 0, [ =( mult( X, unit ), X ) ] )
% 0.41/1.06 , 0, clause( 103, [ =( mult( mult( X, X ), i( X ) ), mult( X, unit ) ) ] )
% 0.41/1.06 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.41/1.06 ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 21, [ =( mult( mult( X, X ), i( X ) ), X ) ] )
% 0.41/1.06 , clause( 104, [ =( mult( mult( X, X ), i( X ) ), X ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 107, [ =( mult( mult( mult( X, Y ), Y ), Z ), mult( X, mult( Y,
% 0.41/1.06 mult( Y, Z ) ) ) ) ] )
% 0.41/1.06 , clause( 2, [ =( mult( X, mult( Y, mult( Y, Z ) ) ), mult( mult( mult( X,
% 0.41/1.06 Y ), Y ), Z ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 121, [ =( mult( mult( mult( X, Y ), Y ), Z ), mult( X, mult( mult(
% 0.41/1.06 Y, Y ), Z ) ) ) ] )
% 0.41/1.06 , clause( 14, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 0.41/1.06 , 0, clause( 107, [ =( mult( mult( mult( X, Y ), Y ), Z ), mult( X, mult( Y
% 0.41/1.06 , mult( Y, Z ) ) ) ) ] )
% 0.41/1.06 , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.41/1.06 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 130, [ =( mult( X, mult( mult( Y, Y ), Z ) ), mult( mult( mult( X,
% 0.41/1.06 Y ), Y ), Z ) ) ] )
% 0.41/1.06 , clause( 121, [ =( mult( mult( mult( X, Y ), Y ), Z ), mult( X, mult( mult(
% 0.41/1.06 Y, Y ), Z ) ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 22, [ =( mult( Z, mult( mult( X, X ), Y ) ), mult( mult( mult( Z, X
% 0.41/1.06 ), X ), Y ) ) ] )
% 0.41/1.06 , clause( 130, [ =( mult( X, mult( mult( Y, Y ), Z ) ), mult( mult( mult( X
% 0.41/1.06 , Y ), Y ), Z ) ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.41/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 132, [ =( mult( X, Y ), mult( mult( mult( X, Y ), Y ), i( Y ) ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , clause( 15, [ =( mult( mult( mult( Y, X ), X ), i( X ) ), mult( Y, X ) )
% 0.41/1.06 ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 135, [ =( mult( mult( mult( X, Y ), Y ), i( Y ) ), mult( mult( mult(
% 0.41/1.06 X, Y ), i( Y ) ), i( i( Y ) ) ) ) ] )
% 0.41/1.06 , clause( 15, [ =( mult( mult( mult( Y, X ), X ), i( X ) ), mult( Y, X ) )
% 0.41/1.06 ] )
% 0.41/1.06 , 0, clause( 132, [ =( mult( X, Y ), mult( mult( mult( X, Y ), Y ), i( Y )
% 0.41/1.06 ) ) ] )
% 0.41/1.06 , 0, 11, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.41/1.06 :=( X, mult( mult( X, Y ), Y ) ), :=( Y, i( Y ) )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 137, [ =( mult( X, Y ), mult( mult( mult( X, Y ), i( Y ) ), i( i( Y
% 0.41/1.06 ) ) ) ) ] )
% 0.41/1.06 , clause( 15, [ =( mult( mult( mult( Y, X ), X ), i( X ) ), mult( Y, X ) )
% 0.41/1.06 ] )
% 0.41/1.06 , 0, clause( 135, [ =( mult( mult( mult( X, Y ), Y ), i( Y ) ), mult( mult(
% 0.41/1.06 mult( X, Y ), i( Y ) ), i( i( Y ) ) ) ) ] )
% 0.41/1.06 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.41/1.06 :=( X, X ), :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 141, [ =( mult( mult( mult( X, Y ), i( Y ) ), i( i( Y ) ) ), mult(
% 0.41/1.06 X, Y ) ) ] )
% 0.41/1.06 , clause( 137, [ =( mult( X, Y ), mult( mult( mult( X, Y ), i( Y ) ), i( i(
% 0.41/1.06 Y ) ) ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 25, [ =( mult( mult( mult( X, Y ), i( Y ) ), i( i( Y ) ) ), mult( X
% 0.41/1.06 , Y ) ) ] )
% 0.41/1.06 , clause( 141, [ =( mult( mult( mult( X, Y ), i( Y ) ), i( i( Y ) ) ), mult(
% 0.41/1.06 X, Y ) ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.06 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 144, [ =( mult( X, Y ), mult( mult( mult( X, Y ), Y ), i( Y ) ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , clause( 15, [ =( mult( mult( mult( Y, X ), X ), i( X ) ), mult( Y, X ) )
% 0.41/1.06 ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 148, [ =( mult( mult( X, X ), i( X ) ), mult( mult( X, i( X ) ), i(
% 0.41/1.06 i( X ) ) ) ) ] )
% 0.41/1.06 , clause( 21, [ =( mult( mult( X, X ), i( X ) ), X ) ] )
% 0.41/1.06 , 0, clause( 144, [ =( mult( X, Y ), mult( mult( mult( X, Y ), Y ), i( Y )
% 0.41/1.06 ) ) ] )
% 0.41/1.06 , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, mult( X
% 0.41/1.06 , X ) ), :=( Y, i( X ) )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 149, [ =( X, mult( mult( X, i( X ) ), i( i( X ) ) ) ) ] )
% 0.41/1.06 , clause( 21, [ =( mult( mult( X, X ), i( X ) ), X ) ] )
% 0.41/1.06 , 0, clause( 148, [ =( mult( mult( X, X ), i( X ) ), mult( mult( X, i( X )
% 0.41/1.06 ), i( i( X ) ) ) ) ] )
% 0.41/1.06 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.41/1.06 ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 153, [ =( X, mult( unit, i( i( X ) ) ) ) ] )
% 0.41/1.06 , clause( 3, [ =( mult( X, i( X ) ), unit ) ] )
% 0.41/1.06 , 0, clause( 149, [ =( X, mult( mult( X, i( X ) ), i( i( X ) ) ) ) ] )
% 0.41/1.06 , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.41/1.06 ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 154, [ =( X, i( i( X ) ) ) ] )
% 0.41/1.06 , clause( 1, [ =( mult( unit, X ), X ) ] )
% 0.41/1.06 , 0, clause( 153, [ =( X, mult( unit, i( i( X ) ) ) ) ] )
% 0.41/1.06 , 0, 2, substitution( 0, [ :=( X, i( i( X ) ) )] ), substitution( 1, [ :=(
% 0.41/1.06 X, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 155, [ =( i( i( X ) ), X ) ] )
% 0.41/1.06 , clause( 154, [ =( X, i( i( X ) ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 26, [ =( i( i( X ) ), X ) ] )
% 0.41/1.06 , clause( 155, [ =( i( i( X ) ), X ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 158, [ =( mult( mult( mult( X, Y ), i( Y ) ), Y ), mult( X, Y ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , clause( 26, [ =( i( i( X ) ), X ) ] )
% 0.41/1.06 , 0, clause( 25, [ =( mult( mult( mult( X, Y ), i( Y ) ), i( i( Y ) ) ),
% 0.41/1.06 mult( X, Y ) ) ] )
% 0.41/1.06 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.41/1.06 :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 29, [ =( mult( mult( mult( X, Y ), i( Y ) ), Y ), mult( X, Y ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , clause( 158, [ =( mult( mult( mult( X, Y ), i( Y ) ), Y ), mult( X, Y ) )
% 0.41/1.06 ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.06 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 161, [ ~( =( x3, mult( X, x4 ) ) ) ] )
% 0.41/1.06 , clause( 5, [ ~( =( mult( X, x4 ), x3 ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 162, [ ~( =( x3, mult( X, i( x4 ) ) ) ) ] )
% 0.41/1.06 , clause( 12, [ =( mult( mult( mult( Y, i( X ) ), i( X ) ), X ), mult( Y, i(
% 0.41/1.06 X ) ) ) ] )
% 0.41/1.06 , 0, clause( 161, [ ~( =( x3, mult( X, x4 ) ) ) ] )
% 0.41/1.06 , 0, 3, substitution( 0, [ :=( X, x4 ), :=( Y, X )] ), substitution( 1, [
% 0.41/1.06 :=( X, mult( mult( X, i( x4 ) ), i( x4 ) ) )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 163, [ ~( =( mult( X, i( x4 ) ), x3 ) ) ] )
% 0.41/1.06 , clause( 162, [ ~( =( x3, mult( X, i( x4 ) ) ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 31, [ ~( =( mult( X, i( x4 ) ), x3 ) ) ] )
% 0.41/1.06 , clause( 163, [ ~( =( mult( X, i( x4 ) ), x3 ) ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 165, [ =( mult( mult( mult( X, Y ), Y ), Z ), mult( X, mult( mult(
% 0.41/1.06 Y, Y ), Z ) ) ) ] )
% 0.41/1.06 , clause( 22, [ =( mult( Z, mult( mult( X, X ), Y ) ), mult( mult( mult( Z
% 0.41/1.06 , X ), X ), Y ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 169, [ =( mult( mult( mult( X, Y ), Y ), i( mult( Y, Y ) ) ), mult(
% 0.41/1.06 X, unit ) ) ] )
% 0.41/1.06 , clause( 3, [ =( mult( X, i( X ) ), unit ) ] )
% 0.41/1.06 , 0, clause( 165, [ =( mult( mult( mult( X, Y ), Y ), Z ), mult( X, mult(
% 0.41/1.06 mult( Y, Y ), Z ) ) ) ] )
% 0.41/1.06 , 0, 13, substitution( 0, [ :=( X, mult( Y, Y ) )] ), substitution( 1, [
% 0.41/1.06 :=( X, X ), :=( Y, Y ), :=( Z, i( mult( Y, Y ) ) )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 170, [ =( mult( mult( mult( X, Y ), Y ), i( mult( Y, Y ) ) ), X ) ]
% 0.41/1.06 )
% 0.41/1.06 , clause( 0, [ =( mult( X, unit ), X ) ] )
% 0.41/1.06 , 0, clause( 169, [ =( mult( mult( mult( X, Y ), Y ), i( mult( Y, Y ) ) ),
% 0.41/1.06 mult( X, unit ) ) ] )
% 0.41/1.06 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.41/1.06 :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 34, [ =( mult( mult( mult( Y, X ), X ), i( mult( X, X ) ) ), Y ) ]
% 0.41/1.06 )
% 0.41/1.06 , clause( 170, [ =( mult( mult( mult( X, Y ), Y ), i( mult( Y, Y ) ) ), X )
% 0.41/1.06 ] )
% 0.41/1.06 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.06 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 173, [ =( X, mult( mult( mult( X, Y ), Y ), i( mult( Y, Y ) ) ) ) ]
% 0.41/1.06 )
% 0.41/1.06 , clause( 34, [ =( mult( mult( mult( Y, X ), X ), i( mult( X, X ) ) ), Y )
% 0.41/1.06 ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 182, [ =( mult( mult( X, Y ), i( Y ) ), mult( mult( mult( X, Y ), Y
% 0.41/1.06 ), i( mult( Y, Y ) ) ) ) ] )
% 0.41/1.06 , clause( 29, [ =( mult( mult( mult( X, Y ), i( Y ) ), Y ), mult( X, Y ) )
% 0.41/1.06 ] )
% 0.41/1.06 , 0, clause( 173, [ =( X, mult( mult( mult( X, Y ), Y ), i( mult( Y, Y ) )
% 0.41/1.06 ) ) ] )
% 0.41/1.06 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.41/1.06 :=( X, mult( mult( X, Y ), i( Y ) ) ), :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 paramod(
% 0.41/1.06 clause( 183, [ =( mult( mult( X, Y ), i( Y ) ), X ) ] )
% 0.41/1.06 , clause( 34, [ =( mult( mult( mult( Y, X ), X ), i( mult( X, X ) ) ), Y )
% 0.41/1.06 ] )
% 0.41/1.06 , 0, clause( 182, [ =( mult( mult( X, Y ), i( Y ) ), mult( mult( mult( X, Y
% 0.41/1.06 ), Y ), i( mult( Y, Y ) ) ) ) ] )
% 0.41/1.06 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.41/1.06 :=( X, X ), :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 39, [ =( mult( mult( X, Y ), i( Y ) ), X ) ] )
% 0.41/1.06 , clause( 183, [ =( mult( mult( X, Y ), i( Y ) ), X ) ] )
% 0.41/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.06 )] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 185, [ =( X, mult( mult( X, Y ), i( Y ) ) ) ] )
% 0.41/1.06 , clause( 39, [ =( mult( mult( X, Y ), i( Y ) ), X ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 eqswap(
% 0.41/1.06 clause( 186, [ ~( =( x3, mult( X, i( x4 ) ) ) ) ] )
% 0.41/1.06 , clause( 31, [ ~( =( mult( X, i( x4 ) ), x3 ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, X )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 resolution(
% 0.41/1.06 clause( 187, [] )
% 0.41/1.06 , clause( 186, [ ~( =( x3, mult( X, i( x4 ) ) ) ) ] )
% 0.41/1.06 , 0, clause( 185, [ =( X, mult( mult( X, Y ), i( Y ) ) ) ] )
% 0.41/1.06 , 0, substitution( 0, [ :=( X, mult( x3, x4 ) )] ), substitution( 1, [ :=(
% 0.41/1.06 X, x3 ), :=( Y, x4 )] )).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 subsumption(
% 0.41/1.06 clause( 41, [] )
% 0.41/1.06 , clause( 187, [] )
% 0.41/1.06 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 end.
% 0.41/1.06
% 0.41/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.06
% 0.41/1.06 Memory use:
% 0.41/1.06
% 0.41/1.06 space for terms: 559
% 0.41/1.06 space for clauses: 4576
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 clauses generated: 716
% 0.41/1.06 clauses kept: 42
% 0.41/1.06 clauses selected: 31
% 0.41/1.06 clauses deleted: 3
% 0.41/1.06 clauses inuse deleted: 0
% 0.41/1.06
% 0.41/1.06 subsentry: 583
% 0.41/1.06 literals s-matched: 185
% 0.41/1.06 literals matched: 159
% 0.41/1.06 full subsumption: 0
% 0.41/1.06
% 0.41/1.06 checksum: -2077503131
% 0.41/1.06
% 0.41/1.06
% 0.41/1.06 Bliksem ended
%------------------------------------------------------------------------------