TSTP Solution File: GRP657-10 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP657-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 07:38:26 EDT 2022
% Result : Unsatisfiable 0.48s 1.12s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP657-10 : TPTP v8.1.0. Released v8.1.0.
% 0.08/0.14 % Command : bliksem %s
% 0.15/0.36 % Computer : n024.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 12:15:33 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.48/1.12 *** allocated 10000 integers for termspace/termends
% 0.48/1.12 *** allocated 10000 integers for clauses
% 0.48/1.12 *** allocated 10000 integers for justifications
% 0.48/1.12 Bliksem 1.12
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 Automatic Strategy Selection
% 0.48/1.12
% 0.48/1.12 Clauses:
% 0.48/1.12 [
% 0.48/1.12 [ =( mult( X, ld( X, Y ) ), Y ) ],
% 0.48/1.12 [ =( ld( X, mult( X, Y ) ), Y ) ],
% 0.48/1.12 [ =( mult( rd( X, Y ), Y ), X ) ],
% 0.48/1.12 [ =( rd( mult( X, Y ), Y ), X ) ],
% 0.48/1.12 [ =( mult( mult( X, Y ), mult( Z, X ) ), mult( X, mult( mult( Y, Z ), X
% 0.48/1.12 ) ) ) ],
% 0.48/1.12 [ ~( =( tuple( mult( X, x1( X ) ), mult( 'x1_2'( X ), X ) ), tuple( x1(
% 0.48/1.12 X ), 'x1_2'( X ) ) ) ) ]
% 0.48/1.12 ] .
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 percentage equality = 1.000000, percentage horn = 1.000000
% 0.48/1.12 This is a pure equality problem
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 Options Used:
% 0.48/1.12
% 0.48/1.12 useres = 1
% 0.48/1.12 useparamod = 1
% 0.48/1.12 useeqrefl = 1
% 0.48/1.12 useeqfact = 1
% 0.48/1.12 usefactor = 1
% 0.48/1.12 usesimpsplitting = 0
% 0.48/1.12 usesimpdemod = 5
% 0.48/1.12 usesimpres = 3
% 0.48/1.12
% 0.48/1.12 resimpinuse = 1000
% 0.48/1.12 resimpclauses = 20000
% 0.48/1.12 substype = eqrewr
% 0.48/1.12 backwardsubs = 1
% 0.48/1.12 selectoldest = 5
% 0.48/1.12
% 0.48/1.12 litorderings [0] = split
% 0.48/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.48/1.12
% 0.48/1.12 termordering = kbo
% 0.48/1.12
% 0.48/1.12 litapriori = 0
% 0.48/1.12 termapriori = 1
% 0.48/1.12 litaposteriori = 0
% 0.48/1.12 termaposteriori = 0
% 0.48/1.12 demodaposteriori = 0
% 0.48/1.12 ordereqreflfact = 0
% 0.48/1.12
% 0.48/1.12 litselect = negord
% 0.48/1.12
% 0.48/1.12 maxweight = 15
% 0.48/1.12 maxdepth = 30000
% 0.48/1.12 maxlength = 115
% 0.48/1.12 maxnrvars = 195
% 0.48/1.12 excuselevel = 1
% 0.48/1.12 increasemaxweight = 1
% 0.48/1.12
% 0.48/1.12 maxselected = 10000000
% 0.48/1.12 maxnrclauses = 10000000
% 0.48/1.12
% 0.48/1.12 showgenerated = 0
% 0.48/1.12 showkept = 0
% 0.48/1.12 showselected = 0
% 0.48/1.12 showdeleted = 0
% 0.48/1.12 showresimp = 1
% 0.48/1.12 showstatus = 2000
% 0.48/1.12
% 0.48/1.12 prologoutput = 1
% 0.48/1.12 nrgoals = 5000000
% 0.48/1.12 totalproof = 1
% 0.48/1.12
% 0.48/1.12 Symbols occurring in the translation:
% 0.48/1.12
% 0.48/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.48/1.12 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.48/1.12 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.48/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.48/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.48/1.12 ld [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.48/1.12 mult [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.48/1.12 rd [43, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.48/1.12 x1 [46, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.48/1.12 'x1_2' [47, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.48/1.12 tuple [48, 2] (w:1, o:48, a:1, s:1, b:0).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 Starting Search:
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 Bliksems!, er is een bewijs:
% 0.48/1.12 % SZS status Unsatisfiable
% 0.48/1.12 % SZS output start Refutation
% 0.48/1.12
% 0.48/1.12 clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 3, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 4, [ =( mult( X, mult( mult( Y, Z ), X ) ), mult( mult( X, Y ),
% 0.48/1.12 mult( Z, X ) ) ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 5, [ ~( =( tuple( mult( X, x1( X ) ), mult( 'x1_2'( X ), X ) ),
% 0.48/1.12 tuple( x1( X ), 'x1_2'( X ) ) ) ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 7, [ =( rd( Y, ld( X, Y ) ), X ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 11, [ =( mult( mult( Z, X ), mult( ld( X, Y ), Z ) ), mult( Z, mult(
% 0.48/1.12 Y, Z ) ) ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 16, [ =( ld( mult( X, Y ), mult( X, mult( Z, X ) ) ), mult( ld( Y,
% 0.48/1.12 Z ), X ) ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 19, [ =( mult( ld( Z, rd( X, Y ) ), Y ), ld( mult( Y, Z ), mult( Y
% 0.48/1.12 , X ) ) ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 23, [ =( ld( ld( X, rd( Y, Z ) ), ld( mult( Z, X ), mult( Z, Y ) )
% 0.48/1.12 ), Z ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 25, [ =( ld( ld( ld( X, Y ), rd( Z, X ) ), ld( Y, mult( X, Z ) ) )
% 0.48/1.12 , X ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 30, [ =( ld( ld( ld( X, X ), rd( Y, X ) ), Y ), X ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 32, [ =( ld( ld( X, X ), rd( Y, X ) ), rd( Y, X ) ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 38, [ =( ld( ld( Y, Y ), X ), X ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 45, [ =( rd( Y, Y ), ld( X, X ) ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 46, [ =( mult( ld( X, X ), Y ), Y ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 47, [ =( ld( Y, Y ), ld( Z, Z ) ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 63, [ =( mult( X, ld( Y, Y ) ), X ) ] )
% 0.48/1.12 .
% 0.48/1.12 clause( 71, [] )
% 0.48/1.12 .
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 % SZS output end Refutation
% 0.48/1.12 found a proof!
% 0.48/1.12
% 0.48/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.48/1.12
% 0.48/1.12 initialclauses(
% 0.48/1.12 [ clause( 73, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.48/1.12 , clause( 74, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.48/1.12 , clause( 75, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.48/1.12 , clause( 76, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.48/1.12 , clause( 77, [ =( mult( mult( X, Y ), mult( Z, X ) ), mult( X, mult( mult(
% 0.48/1.12 Y, Z ), X ) ) ) ] )
% 0.48/1.12 , clause( 78, [ ~( =( tuple( mult( X, x1( X ) ), mult( 'x1_2'( X ), X ) ),
% 0.48/1.12 tuple( x1( X ), 'x1_2'( X ) ) ) ) ] )
% 0.48/1.12 ] ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.48/1.12 , clause( 73, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.12 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.48/1.12 , clause( 74, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.12 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.48/1.12 , clause( 75, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.12 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 3, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.48/1.12 , clause( 76, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.12 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 93, [ =( mult( X, mult( mult( Y, Z ), X ) ), mult( mult( X, Y ),
% 0.48/1.12 mult( Z, X ) ) ) ] )
% 0.48/1.12 , clause( 77, [ =( mult( mult( X, Y ), mult( Z, X ) ), mult( X, mult( mult(
% 0.48/1.12 Y, Z ), X ) ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 4, [ =( mult( X, mult( mult( Y, Z ), X ) ), mult( mult( X, Y ),
% 0.48/1.12 mult( Z, X ) ) ) ] )
% 0.48/1.12 , clause( 93, [ =( mult( X, mult( mult( Y, Z ), X ) ), mult( mult( X, Y ),
% 0.48/1.12 mult( Z, X ) ) ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.48/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 5, [ ~( =( tuple( mult( X, x1( X ) ), mult( 'x1_2'( X ), X ) ),
% 0.48/1.12 tuple( x1( X ), 'x1_2'( X ) ) ) ) ] )
% 0.48/1.12 , clause( 78, [ ~( =( tuple( mult( X, x1( X ) ), mult( 'x1_2'( X ), X ) ),
% 0.48/1.12 tuple( x1( X ), 'x1_2'( X ) ) ) ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 101, [ =( X, rd( mult( X, Y ), Y ) ) ] )
% 0.48/1.12 , clause( 3, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 102, [ =( X, rd( Y, ld( X, Y ) ) ) ] )
% 0.48/1.12 , clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.48/1.12 , 0, clause( 101, [ =( X, rd( mult( X, Y ), Y ) ) ] )
% 0.48/1.12 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.48/1.12 :=( X, X ), :=( Y, ld( X, Y ) )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 103, [ =( rd( Y, ld( X, Y ) ), X ) ] )
% 0.48/1.12 , clause( 102, [ =( X, rd( Y, ld( X, Y ) ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 7, [ =( rd( Y, ld( X, Y ) ), X ) ] )
% 0.48/1.12 , clause( 103, [ =( rd( Y, ld( X, Y ) ), X ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.12 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 105, [ =( mult( mult( X, Y ), mult( Z, X ) ), mult( X, mult( mult(
% 0.48/1.12 Y, Z ), X ) ) ) ] )
% 0.48/1.12 , clause( 4, [ =( mult( X, mult( mult( Y, Z ), X ) ), mult( mult( X, Y ),
% 0.48/1.12 mult( Z, X ) ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 109, [ =( mult( mult( X, Y ), mult( ld( Y, Z ), X ) ), mult( X,
% 0.48/1.12 mult( Z, X ) ) ) ] )
% 0.48/1.12 , clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.48/1.12 , 0, clause( 105, [ =( mult( mult( X, Y ), mult( Z, X ) ), mult( X, mult(
% 0.48/1.12 mult( Y, Z ), X ) ) ) ] )
% 0.48/1.12 , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.48/1.12 :=( X, X ), :=( Y, Y ), :=( Z, ld( Y, Z ) )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 11, [ =( mult( mult( Z, X ), mult( ld( X, Y ), Z ) ), mult( Z, mult(
% 0.48/1.12 Y, Z ) ) ) ] )
% 0.48/1.12 , clause( 109, [ =( mult( mult( X, Y ), mult( ld( Y, Z ), X ) ), mult( X,
% 0.48/1.12 mult( Z, X ) ) ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.48/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 115, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.48/1.12 , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 118, [ =( mult( ld( X, Y ), Z ), ld( mult( Z, X ), mult( Z, mult( Y
% 0.48/1.12 , Z ) ) ) ) ] )
% 0.48/1.12 , clause( 11, [ =( mult( mult( Z, X ), mult( ld( X, Y ), Z ) ), mult( Z,
% 0.48/1.12 mult( Y, Z ) ) ) ] )
% 0.48/1.12 , 0, clause( 115, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.48/1.12 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.48/1.12 substitution( 1, [ :=( X, mult( Z, X ) ), :=( Y, mult( ld( X, Y ), Z ) )] )
% 0.48/1.12 ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 119, [ =( ld( mult( Z, X ), mult( Z, mult( Y, Z ) ) ), mult( ld( X
% 0.48/1.12 , Y ), Z ) ) ] )
% 0.48/1.12 , clause( 118, [ =( mult( ld( X, Y ), Z ), ld( mult( Z, X ), mult( Z, mult(
% 0.48/1.12 Y, Z ) ) ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 16, [ =( ld( mult( X, Y ), mult( X, mult( Z, X ) ) ), mult( ld( Y,
% 0.48/1.12 Z ), X ) ) ] )
% 0.48/1.12 , clause( 119, [ =( ld( mult( Z, X ), mult( Z, mult( Y, Z ) ) ), mult( ld(
% 0.48/1.12 X, Y ), Z ) ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.48/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 121, [ =( mult( ld( Y, Z ), X ), ld( mult( X, Y ), mult( X, mult( Z
% 0.48/1.12 , X ) ) ) ) ] )
% 0.48/1.12 , clause( 16, [ =( ld( mult( X, Y ), mult( X, mult( Z, X ) ) ), mult( ld( Y
% 0.48/1.12 , Z ), X ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 123, [ =( mult( ld( X, rd( Y, Z ) ), Z ), ld( mult( Z, X ), mult( Z
% 0.48/1.12 , Y ) ) ) ] )
% 0.48/1.12 , clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.48/1.12 , 0, clause( 121, [ =( mult( ld( Y, Z ), X ), ld( mult( X, Y ), mult( X,
% 0.48/1.12 mult( Z, X ) ) ) ) ] )
% 0.48/1.12 , 0, 14, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.48/1.12 :=( X, Z ), :=( Y, X ), :=( Z, rd( Y, Z ) )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 19, [ =( mult( ld( Z, rd( X, Y ) ), Y ), ld( mult( Y, Z ), mult( Y
% 0.48/1.12 , X ) ) ) ] )
% 0.48/1.12 , clause( 123, [ =( mult( ld( X, rd( Y, Z ) ), Z ), ld( mult( Z, X ), mult(
% 0.48/1.12 Z, Y ) ) ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.48/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 127, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.48/1.12 , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 128, [ =( X, ld( ld( Y, rd( Z, X ) ), ld( mult( X, Y ), mult( X, Z
% 0.48/1.12 ) ) ) ) ] )
% 0.48/1.12 , clause( 19, [ =( mult( ld( Z, rd( X, Y ) ), Y ), ld( mult( Y, Z ), mult(
% 0.48/1.12 Y, X ) ) ) ] )
% 0.48/1.12 , 0, clause( 127, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.48/1.12 , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.48/1.12 substitution( 1, [ :=( X, ld( Y, rd( Z, X ) ) ), :=( Y, X )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 129, [ =( ld( ld( Y, rd( Z, X ) ), ld( mult( X, Y ), mult( X, Z ) )
% 0.48/1.12 ), X ) ] )
% 0.48/1.12 , clause( 128, [ =( X, ld( ld( Y, rd( Z, X ) ), ld( mult( X, Y ), mult( X,
% 0.48/1.12 Z ) ) ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 23, [ =( ld( ld( X, rd( Y, Z ) ), ld( mult( Z, X ), mult( Z, Y ) )
% 0.48/1.12 ), Z ) ] )
% 0.48/1.12 , clause( 129, [ =( ld( ld( Y, rd( Z, X ) ), ld( mult( X, Y ), mult( X, Z )
% 0.48/1.12 ) ), X ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.48/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 131, [ =( Z, ld( ld( X, rd( Y, Z ) ), ld( mult( Z, X ), mult( Z, Y
% 0.48/1.12 ) ) ) ) ] )
% 0.48/1.12 , clause( 23, [ =( ld( ld( X, rd( Y, Z ) ), ld( mult( Z, X ), mult( Z, Y )
% 0.48/1.12 ) ), Z ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 134, [ =( X, ld( ld( ld( X, Y ), rd( Z, X ) ), ld( Y, mult( X, Z )
% 0.48/1.12 ) ) ) ] )
% 0.48/1.12 , clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.48/1.12 , 0, clause( 131, [ =( Z, ld( ld( X, rd( Y, Z ) ), ld( mult( Z, X ), mult(
% 0.48/1.12 Z, Y ) ) ) ) ] )
% 0.48/1.12 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.48/1.12 :=( X, ld( X, Y ) ), :=( Y, Z ), :=( Z, X )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 136, [ =( ld( ld( ld( X, Y ), rd( Z, X ) ), ld( Y, mult( X, Z ) ) )
% 0.48/1.12 , X ) ] )
% 0.48/1.12 , clause( 134, [ =( X, ld( ld( ld( X, Y ), rd( Z, X ) ), ld( Y, mult( X, Z
% 0.48/1.12 ) ) ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 25, [ =( ld( ld( ld( X, Y ), rd( Z, X ) ), ld( Y, mult( X, Z ) ) )
% 0.48/1.12 , X ) ] )
% 0.48/1.12 , clause( 136, [ =( ld( ld( ld( X, Y ), rd( Z, X ) ), ld( Y, mult( X, Z ) )
% 0.48/1.12 ), X ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.48/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 139, [ =( X, ld( ld( ld( X, Y ), rd( Z, X ) ), ld( Y, mult( X, Z )
% 0.48/1.12 ) ) ) ] )
% 0.48/1.12 , clause( 25, [ =( ld( ld( ld( X, Y ), rd( Z, X ) ), ld( Y, mult( X, Z ) )
% 0.48/1.12 ), X ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 141, [ =( X, ld( ld( ld( X, X ), rd( Y, X ) ), Y ) ) ] )
% 0.48/1.12 , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.48/1.12 , 0, clause( 139, [ =( X, ld( ld( ld( X, Y ), rd( Z, X ) ), ld( Y, mult( X
% 0.48/1.12 , Z ) ) ) ) ] )
% 0.48/1.12 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.48/1.12 :=( X, X ), :=( Y, X ), :=( Z, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 143, [ =( ld( ld( ld( X, X ), rd( Y, X ) ), Y ), X ) ] )
% 0.48/1.12 , clause( 141, [ =( X, ld( ld( ld( X, X ), rd( Y, X ) ), Y ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 30, [ =( ld( ld( ld( X, X ), rd( Y, X ) ), Y ), X ) ] )
% 0.48/1.12 , clause( 143, [ =( ld( ld( ld( X, X ), rd( Y, X ) ), Y ), X ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.12 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 145, [ =( Y, rd( X, ld( Y, X ) ) ) ] )
% 0.48/1.12 , clause( 7, [ =( rd( Y, ld( X, Y ) ), X ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 148, [ =( ld( ld( X, X ), rd( Y, X ) ), rd( Y, X ) ) ] )
% 0.48/1.12 , clause( 30, [ =( ld( ld( ld( X, X ), rd( Y, X ) ), Y ), X ) ] )
% 0.48/1.12 , 0, clause( 145, [ =( Y, rd( X, ld( Y, X ) ) ) ] )
% 0.48/1.12 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.48/1.12 :=( X, Y ), :=( Y, ld( ld( X, X ), rd( Y, X ) ) )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 32, [ =( ld( ld( X, X ), rd( Y, X ) ), rd( Y, X ) ) ] )
% 0.48/1.12 , clause( 148, [ =( ld( ld( X, X ), rd( Y, X ) ), rd( Y, X ) ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.12 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 151, [ =( rd( Y, X ), ld( ld( X, X ), rd( Y, X ) ) ) ] )
% 0.48/1.12 , clause( 32, [ =( ld( ld( X, X ), rd( Y, X ) ), rd( Y, X ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 153, [ =( rd( mult( X, Y ), Y ), ld( ld( Y, Y ), X ) ) ] )
% 0.48/1.12 , clause( 3, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.48/1.12 , 0, clause( 151, [ =( rd( Y, X ), ld( ld( X, X ), rd( Y, X ) ) ) ] )
% 0.48/1.12 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.48/1.12 :=( X, Y ), :=( Y, mult( X, Y ) )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 154, [ =( X, ld( ld( Y, Y ), X ) ) ] )
% 0.48/1.12 , clause( 3, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.48/1.12 , 0, clause( 153, [ =( rd( mult( X, Y ), Y ), ld( ld( Y, Y ), X ) ) ] )
% 0.48/1.12 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.48/1.12 :=( X, X ), :=( Y, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 156, [ =( ld( ld( Y, Y ), X ), X ) ] )
% 0.48/1.12 , clause( 154, [ =( X, ld( ld( Y, Y ), X ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 38, [ =( ld( ld( Y, Y ), X ), X ) ] )
% 0.48/1.12 , clause( 156, [ =( ld( ld( Y, Y ), X ), X ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.12 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 159, [ =( Y, rd( X, ld( Y, X ) ) ) ] )
% 0.48/1.12 , clause( 7, [ =( rd( Y, ld( X, Y ) ), X ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 160, [ =( ld( X, X ), rd( Y, Y ) ) ] )
% 0.48/1.12 , clause( 38, [ =( ld( ld( Y, Y ), X ), X ) ] )
% 0.48/1.12 , 0, clause( 159, [ =( Y, rd( X, ld( Y, X ) ) ) ] )
% 0.48/1.12 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.48/1.12 :=( X, Y ), :=( Y, ld( X, X ) )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 161, [ =( rd( Y, Y ), ld( X, X ) ) ] )
% 0.48/1.12 , clause( 160, [ =( ld( X, X ), rd( Y, Y ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 45, [ =( rd( Y, Y ), ld( X, X ) ) ] )
% 0.48/1.12 , clause( 161, [ =( rd( Y, Y ), ld( X, X ) ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.12 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 163, [ =( Y, mult( X, ld( X, Y ) ) ) ] )
% 0.48/1.12 , clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 164, [ =( X, mult( ld( Y, Y ), X ) ) ] )
% 0.48/1.12 , clause( 38, [ =( ld( ld( Y, Y ), X ), X ) ] )
% 0.48/1.12 , 0, clause( 163, [ =( Y, mult( X, ld( X, Y ) ) ) ] )
% 0.48/1.12 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.48/1.12 :=( X, ld( Y, Y ) ), :=( Y, X )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 165, [ =( mult( ld( Y, Y ), X ), X ) ] )
% 0.48/1.12 , clause( 164, [ =( X, mult( ld( Y, Y ), X ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 46, [ =( mult( ld( X, X ), Y ), Y ) ] )
% 0.48/1.12 , clause( 165, [ =( mult( ld( Y, Y ), X ), X ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.12 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 166, [ =( ld( Y, Y ), rd( X, X ) ) ] )
% 0.48/1.12 , clause( 45, [ =( rd( Y, Y ), ld( X, X ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 171, [ =( ld( X, X ), ld( Z, Z ) ) ] )
% 0.48/1.12 , clause( 45, [ =( rd( Y, Y ), ld( X, X ) ) ] )
% 0.48/1.12 , 0, clause( 166, [ =( ld( Y, Y ), rd( X, X ) ) ] )
% 0.48/1.12 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [
% 0.48/1.12 :=( X, Y ), :=( Y, X )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 47, [ =( ld( Y, Y ), ld( Z, Z ) ) ] )
% 0.48/1.12 , clause( 171, [ =( ld( X, X ), ld( Z, Z ) ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, Z )] ),
% 0.48/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 172, [ =( Y, mult( X, ld( X, Y ) ) ) ] )
% 0.48/1.12 , clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 173, [ =( X, mult( X, ld( Y, Y ) ) ) ] )
% 0.48/1.12 , clause( 47, [ =( ld( Y, Y ), ld( Z, Z ) ) ] )
% 0.48/1.12 , 0, clause( 172, [ =( Y, mult( X, ld( X, Y ) ) ) ] )
% 0.48/1.12 , 0, 4, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.48/1.12 substitution( 1, [ :=( X, X ), :=( Y, X )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 174, [ =( mult( X, ld( Y, Y ) ), X ) ] )
% 0.48/1.12 , clause( 173, [ =( X, mult( X, ld( Y, Y ) ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 63, [ =( mult( X, ld( Y, Y ) ), X ) ] )
% 0.48/1.12 , clause( 174, [ =( mult( X, ld( Y, Y ) ), X ) ] )
% 0.48/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.48/1.12 )] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqswap(
% 0.48/1.12 clause( 176, [ ~( =( tuple( x1( X ), 'x1_2'( X ) ), tuple( mult( X, x1( X )
% 0.48/1.12 ), mult( 'x1_2'( X ), X ) ) ) ) ] )
% 0.48/1.12 , clause( 5, [ ~( =( tuple( mult( X, x1( X ) ), mult( 'x1_2'( X ), X ) ),
% 0.48/1.12 tuple( x1( X ), 'x1_2'( X ) ) ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 178, [ ~( =( tuple( x1( ld( X, X ) ), 'x1_2'( ld( X, X ) ) ), tuple(
% 0.48/1.12 mult( ld( X, X ), x1( ld( X, X ) ) ), 'x1_2'( ld( X, X ) ) ) ) ) ] )
% 0.48/1.12 , clause( 63, [ =( mult( X, ld( Y, Y ) ), X ) ] )
% 0.48/1.12 , 0, clause( 176, [ ~( =( tuple( x1( X ), 'x1_2'( X ) ), tuple( mult( X, x1(
% 0.48/1.12 X ) ), mult( 'x1_2'( X ), X ) ) ) ) ] )
% 0.48/1.12 , 0, 20, substitution( 0, [ :=( X, 'x1_2'( ld( X, X ) ) ), :=( Y, X )] ),
% 0.48/1.12 substitution( 1, [ :=( X, ld( X, X ) )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 paramod(
% 0.48/1.12 clause( 179, [ ~( =( tuple( x1( ld( X, X ) ), 'x1_2'( ld( X, X ) ) ), tuple(
% 0.48/1.12 x1( ld( X, X ) ), 'x1_2'( ld( X, X ) ) ) ) ) ] )
% 0.48/1.12 , clause( 46, [ =( mult( ld( X, X ), Y ), Y ) ] )
% 0.48/1.12 , 0, clause( 178, [ ~( =( tuple( x1( ld( X, X ) ), 'x1_2'( ld( X, X ) ) ),
% 0.48/1.12 tuple( mult( ld( X, X ), x1( ld( X, X ) ) ), 'x1_2'( ld( X, X ) ) ) ) ) ]
% 0.48/1.12 )
% 0.48/1.12 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, x1( ld( X, X ) ) )] ),
% 0.48/1.12 substitution( 1, [ :=( X, X )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 eqrefl(
% 0.48/1.12 clause( 180, [] )
% 0.48/1.12 , clause( 179, [ ~( =( tuple( x1( ld( X, X ) ), 'x1_2'( ld( X, X ) ) ),
% 0.48/1.12 tuple( x1( ld( X, X ) ), 'x1_2'( ld( X, X ) ) ) ) ) ] )
% 0.48/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 subsumption(
% 0.48/1.12 clause( 71, [] )
% 0.48/1.12 , clause( 180, [] )
% 0.48/1.12 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 end.
% 0.48/1.12
% 0.48/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.48/1.12
% 0.48/1.12 Memory use:
% 0.48/1.12
% 0.48/1.12 space for terms: 1055
% 0.48/1.12 space for clauses: 9799
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 clauses generated: 458
% 0.48/1.12 clauses kept: 72
% 0.48/1.12 clauses selected: 24
% 0.48/1.12 clauses deleted: 0
% 0.48/1.12 clauses inuse deleted: 0
% 0.48/1.12
% 0.48/1.12 subsentry: 397
% 0.48/1.12 literals s-matched: 172
% 0.48/1.12 literals matched: 170
% 0.48/1.12 full subsumption: 0
% 0.48/1.12
% 0.48/1.12 checksum: -79019041
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 Bliksem ended
%------------------------------------------------------------------------------