TSTP Solution File: GRP656-10 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP656-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 07:38:25 EDT 2022
% Result : Unsatisfiable 0.72s 1.12s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP656-10 : TPTP v8.1.0. Released v8.1.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Mon Jun 13 08:31:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.72/1.12 *** allocated 10000 integers for termspace/termends
% 0.72/1.12 *** allocated 10000 integers for clauses
% 0.72/1.12 *** allocated 10000 integers for justifications
% 0.72/1.12 Bliksem 1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Automatic Strategy Selection
% 0.72/1.12
% 0.72/1.12 Clauses:
% 0.72/1.12 [
% 0.72/1.12 [ =( mult( X, ld( X, Y ) ), Y ) ],
% 0.72/1.12 [ =( ld( X, mult( X, Y ) ), Y ) ],
% 0.72/1.12 [ =( mult( rd( X, Y ), Y ), X ) ],
% 0.72/1.12 [ =( rd( mult( X, Y ), Y ), X ) ],
% 0.72/1.12 [ =( mult( mult( X, Y ), mult( Z, X ) ), mult( mult( X, mult( Y, Z ) ),
% 0.72/1.12 X ) ) ],
% 0.72/1.12 [ ~( =( tuple( mult( X, x1( X ) ), mult( 'x1_2'( X ), X ) ), tuple( x1(
% 0.72/1.12 X ), 'x1_2'( X ) ) ) ) ]
% 0.72/1.12 ] .
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 percentage equality = 1.000000, percentage horn = 1.000000
% 0.72/1.12 This is a pure equality problem
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Options Used:
% 0.72/1.12
% 0.72/1.12 useres = 1
% 0.72/1.12 useparamod = 1
% 0.72/1.12 useeqrefl = 1
% 0.72/1.12 useeqfact = 1
% 0.72/1.12 usefactor = 1
% 0.72/1.12 usesimpsplitting = 0
% 0.72/1.12 usesimpdemod = 5
% 0.72/1.12 usesimpres = 3
% 0.72/1.12
% 0.72/1.12 resimpinuse = 1000
% 0.72/1.12 resimpclauses = 20000
% 0.72/1.12 substype = eqrewr
% 0.72/1.12 backwardsubs = 1
% 0.72/1.12 selectoldest = 5
% 0.72/1.12
% 0.72/1.12 litorderings [0] = split
% 0.72/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.12
% 0.72/1.12 termordering = kbo
% 0.72/1.12
% 0.72/1.12 litapriori = 0
% 0.72/1.12 termapriori = 1
% 0.72/1.12 litaposteriori = 0
% 0.72/1.12 termaposteriori = 0
% 0.72/1.12 demodaposteriori = 0
% 0.72/1.12 ordereqreflfact = 0
% 0.72/1.12
% 0.72/1.12 litselect = negord
% 0.72/1.12
% 0.72/1.12 maxweight = 15
% 0.72/1.12 maxdepth = 30000
% 0.72/1.12 maxlength = 115
% 0.72/1.12 maxnrvars = 195
% 0.72/1.12 excuselevel = 1
% 0.72/1.12 increasemaxweight = 1
% 0.72/1.12
% 0.72/1.12 maxselected = 10000000
% 0.72/1.12 maxnrclauses = 10000000
% 0.72/1.12
% 0.72/1.12 showgenerated = 0
% 0.72/1.12 showkept = 0
% 0.72/1.12 showselected = 0
% 0.72/1.12 showdeleted = 0
% 0.72/1.12 showresimp = 1
% 0.72/1.12 showstatus = 2000
% 0.72/1.12
% 0.72/1.12 prologoutput = 1
% 0.72/1.12 nrgoals = 5000000
% 0.72/1.12 totalproof = 1
% 0.72/1.12
% 0.72/1.12 Symbols occurring in the translation:
% 0.72/1.12
% 0.72/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.12 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.72/1.12 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.72/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.12 ld [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.72/1.12 mult [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.72/1.12 rd [43, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.72/1.12 x1 [46, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.72/1.12 'x1_2' [47, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.72/1.12 tuple [48, 2] (w:1, o:48, a:1, s:1, b:0).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Starting Search:
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Bliksems!, er is een bewijs:
% 0.72/1.12 % SZS status Unsatisfiable
% 0.72/1.12 % SZS output start Refutation
% 0.72/1.12
% 0.72/1.12 clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 3, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 4, [ =( mult( mult( X, Y ), mult( Z, X ) ), mult( mult( X, mult( Y
% 0.72/1.12 , Z ) ), X ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 5, [ ~( =( tuple( mult( X, x1( X ) ), mult( 'x1_2'( X ), X ) ),
% 0.72/1.12 tuple( x1( X ), 'x1_2'( X ) ) ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 10, [ =( mult( mult( X, mult( ld( X, Y ), Z ) ), X ), mult( Y, mult(
% 0.72/1.12 Z, X ) ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 18, [ =( rd( mult( Y, mult( Z, X ) ), X ), mult( X, mult( ld( X, Y
% 0.72/1.12 ), Z ) ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 20, [ =( mult( Y, mult( ld( Y, Z ), rd( X, Y ) ) ), rd( mult( Z, X
% 0.72/1.12 ), Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 22, [ =( rd( mult( mult( X, Y ), Z ), X ), mult( X, mult( Y, rd( Z
% 0.72/1.12 , X ) ) ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 27, [ =( mult( X, mult( Y, rd( X, X ) ) ), mult( X, Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 29, [ =( mult( Y, rd( X, X ) ), Y ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 37, [ =( ld( X, X ), rd( Y, Y ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 39, [ =( rd( Y, Y ), rd( Z, Z ) ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 46, [ =( mult( rd( Y, Y ), X ), X ) ] )
% 0.72/1.12 .
% 0.72/1.12 clause( 52, [] )
% 0.72/1.12 .
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 % SZS output end Refutation
% 0.72/1.12 found a proof!
% 0.72/1.12
% 0.72/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.12
% 0.72/1.12 initialclauses(
% 0.72/1.12 [ clause( 54, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.72/1.12 , clause( 55, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.72/1.12 , clause( 56, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.72/1.12 , clause( 57, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.72/1.12 , clause( 58, [ =( mult( mult( X, Y ), mult( Z, X ) ), mult( mult( X, mult(
% 0.72/1.12 Y, Z ) ), X ) ) ] )
% 0.72/1.12 , clause( 59, [ ~( =( tuple( mult( X, x1( X ) ), mult( 'x1_2'( X ), X ) ),
% 0.72/1.12 tuple( x1( X ), 'x1_2'( X ) ) ) ) ] )
% 0.72/1.12 ] ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.72/1.12 , clause( 54, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.72/1.12 , clause( 55, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.72/1.12 , clause( 56, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 3, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.72/1.12 , clause( 57, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 4, [ =( mult( mult( X, Y ), mult( Z, X ) ), mult( mult( X, mult( Y
% 0.72/1.12 , Z ) ), X ) ) ] )
% 0.72/1.12 , clause( 58, [ =( mult( mult( X, Y ), mult( Z, X ) ), mult( mult( X, mult(
% 0.72/1.12 Y, Z ) ), X ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 5, [ ~( =( tuple( mult( X, x1( X ) ), mult( 'x1_2'( X ), X ) ),
% 0.72/1.12 tuple( x1( X ), 'x1_2'( X ) ) ) ) ] )
% 0.72/1.12 , clause( 59, [ ~( =( tuple( mult( X, x1( X ) ), mult( 'x1_2'( X ), X ) ),
% 0.72/1.12 tuple( x1( X ), 'x1_2'( X ) ) ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 82, [ =( mult( mult( X, mult( Y, Z ) ), X ), mult( mult( X, Y ),
% 0.72/1.12 mult( Z, X ) ) ) ] )
% 0.72/1.12 , clause( 4, [ =( mult( mult( X, Y ), mult( Z, X ) ), mult( mult( X, mult(
% 0.72/1.12 Y, Z ) ), X ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 84, [ =( mult( mult( X, mult( ld( X, Y ), Z ) ), X ), mult( Y, mult(
% 0.72/1.12 Z, X ) ) ) ] )
% 0.72/1.12 , clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.72/1.12 , 0, clause( 82, [ =( mult( mult( X, mult( Y, Z ) ), X ), mult( mult( X, Y
% 0.72/1.12 ), mult( Z, X ) ) ) ] )
% 0.72/1.12 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.12 :=( X, X ), :=( Y, ld( X, Y ) ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 10, [ =( mult( mult( X, mult( ld( X, Y ), Z ) ), X ), mult( Y, mult(
% 0.72/1.12 Z, X ) ) ) ] )
% 0.72/1.12 , clause( 84, [ =( mult( mult( X, mult( ld( X, Y ), Z ) ), X ), mult( Y,
% 0.72/1.12 mult( Z, X ) ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 90, [ =( X, rd( mult( X, Y ), Y ) ) ] )
% 0.72/1.12 , clause( 3, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 91, [ =( mult( X, mult( ld( X, Y ), Z ) ), rd( mult( Y, mult( Z, X
% 0.72/1.12 ) ), X ) ) ] )
% 0.72/1.12 , clause( 10, [ =( mult( mult( X, mult( ld( X, Y ), Z ) ), X ), mult( Y,
% 0.72/1.12 mult( Z, X ) ) ) ] )
% 0.72/1.12 , 0, clause( 90, [ =( X, rd( mult( X, Y ), Y ) ) ] )
% 0.72/1.12 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.12 substitution( 1, [ :=( X, mult( X, mult( ld( X, Y ), Z ) ) ), :=( Y, X )] )
% 0.72/1.12 ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 92, [ =( rd( mult( Y, mult( Z, X ) ), X ), mult( X, mult( ld( X, Y
% 0.72/1.12 ), Z ) ) ) ] )
% 0.72/1.12 , clause( 91, [ =( mult( X, mult( ld( X, Y ), Z ) ), rd( mult( Y, mult( Z,
% 0.72/1.12 X ) ), X ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 18, [ =( rd( mult( Y, mult( Z, X ) ), X ), mult( X, mult( ld( X, Y
% 0.72/1.12 ), Z ) ) ) ] )
% 0.72/1.12 , clause( 92, [ =( rd( mult( Y, mult( Z, X ) ), X ), mult( X, mult( ld( X,
% 0.72/1.12 Y ), Z ) ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 94, [ =( mult( Z, mult( ld( Z, X ), Y ) ), rd( mult( X, mult( Y, Z
% 0.72/1.12 ) ), Z ) ) ] )
% 0.72/1.12 , clause( 18, [ =( rd( mult( Y, mult( Z, X ) ), X ), mult( X, mult( ld( X,
% 0.72/1.12 Y ), Z ) ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 98, [ =( mult( X, mult( ld( X, Y ), rd( Z, X ) ) ), rd( mult( Y, Z
% 0.72/1.12 ), X ) ) ] )
% 0.72/1.12 , clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.72/1.12 , 0, clause( 94, [ =( mult( Z, mult( ld( Z, X ), Y ) ), rd( mult( X, mult(
% 0.72/1.12 Y, Z ) ), Z ) ) ] )
% 0.72/1.12 , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.12 :=( X, Y ), :=( Y, rd( Z, X ) ), :=( Z, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 20, [ =( mult( Y, mult( ld( Y, Z ), rd( X, Y ) ) ), rd( mult( Z, X
% 0.72/1.12 ), Y ) ) ] )
% 0.72/1.12 , clause( 98, [ =( mult( X, mult( ld( X, Y ), rd( Z, X ) ) ), rd( mult( Y,
% 0.72/1.12 Z ), X ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 102, [ =( rd( mult( Y, Z ), X ), mult( X, mult( ld( X, Y ), rd( Z,
% 0.72/1.12 X ) ) ) ) ] )
% 0.72/1.12 , clause( 20, [ =( mult( Y, mult( ld( Y, Z ), rd( X, Y ) ) ), rd( mult( Z,
% 0.72/1.12 X ), Y ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 105, [ =( rd( mult( mult( X, Y ), Z ), X ), mult( X, mult( Y, rd( Z
% 0.72/1.12 , X ) ) ) ) ] )
% 0.72/1.12 , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.72/1.12 , 0, clause( 102, [ =( rd( mult( Y, Z ), X ), mult( X, mult( ld( X, Y ), rd(
% 0.72/1.12 Z, X ) ) ) ) ] )
% 0.72/1.12 , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.12 :=( X, X ), :=( Y, mult( X, Y ) ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 22, [ =( rd( mult( mult( X, Y ), Z ), X ), mult( X, mult( Y, rd( Z
% 0.72/1.12 , X ) ) ) ) ] )
% 0.72/1.12 , clause( 105, [ =( rd( mult( mult( X, Y ), Z ), X ), mult( X, mult( Y, rd(
% 0.72/1.12 Z, X ) ) ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 107, [ =( mult( X, mult( Y, rd( Z, X ) ) ), rd( mult( mult( X, Y )
% 0.72/1.12 , Z ), X ) ) ] )
% 0.72/1.12 , clause( 22, [ =( rd( mult( mult( X, Y ), Z ), X ), mult( X, mult( Y, rd(
% 0.72/1.12 Z, X ) ) ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 110, [ =( mult( X, mult( Y, rd( X, X ) ) ), mult( X, Y ) ) ] )
% 0.72/1.12 , clause( 3, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.72/1.12 , 0, clause( 107, [ =( mult( X, mult( Y, rd( Z, X ) ) ), rd( mult( mult( X
% 0.72/1.12 , Y ), Z ), X ) ) ] )
% 0.72/1.12 , 0, 8, substitution( 0, [ :=( X, mult( X, Y ) ), :=( Y, X )] ),
% 0.72/1.12 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 27, [ =( mult( X, mult( Y, rd( X, X ) ) ), mult( X, Y ) ) ] )
% 0.72/1.12 , clause( 110, [ =( mult( X, mult( Y, rd( X, X ) ) ), mult( X, Y ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 114, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.72/1.12 , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 116, [ =( mult( X, rd( Y, Y ) ), ld( Y, mult( Y, X ) ) ) ] )
% 0.72/1.12 , clause( 27, [ =( mult( X, mult( Y, rd( X, X ) ) ), mult( X, Y ) ) ] )
% 0.72/1.12 , 0, clause( 114, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.72/1.12 , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.12 :=( X, Y ), :=( Y, mult( X, rd( Y, Y ) ) )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 117, [ =( mult( X, rd( Y, Y ) ), X ) ] )
% 0.72/1.12 , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.72/1.12 , 0, clause( 116, [ =( mult( X, rd( Y, Y ) ), ld( Y, mult( Y, X ) ) ) ] )
% 0.72/1.12 , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.72/1.12 :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 29, [ =( mult( Y, rd( X, X ) ), Y ) ] )
% 0.72/1.12 , clause( 117, [ =( mult( X, rd( Y, Y ) ), X ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 120, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.72/1.12 , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 121, [ =( rd( X, X ), ld( Y, Y ) ) ] )
% 0.72/1.12 , clause( 29, [ =( mult( Y, rd( X, X ) ), Y ) ] )
% 0.72/1.12 , 0, clause( 120, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.72/1.12 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.72/1.12 :=( X, Y ), :=( Y, rd( X, X ) )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 122, [ =( ld( Y, Y ), rd( X, X ) ) ] )
% 0.72/1.12 , clause( 121, [ =( rd( X, X ), ld( Y, Y ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 37, [ =( ld( X, X ), rd( Y, Y ) ) ] )
% 0.72/1.12 , clause( 122, [ =( ld( Y, Y ), rd( X, X ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 123, [ =( rd( Y, Y ), ld( X, X ) ) ] )
% 0.72/1.12 , clause( 37, [ =( ld( X, X ), rd( Y, Y ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 128, [ =( rd( X, X ), rd( Z, Z ) ) ] )
% 0.72/1.12 , clause( 37, [ =( ld( X, X ), rd( Y, Y ) ) ] )
% 0.72/1.12 , 0, clause( 123, [ =( rd( Y, Y ), ld( X, X ) ) ] )
% 0.72/1.12 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.72/1.12 :=( X, Y ), :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 39, [ =( rd( Y, Y ), rd( Z, Z ) ) ] )
% 0.72/1.12 , clause( 128, [ =( rd( X, X ), rd( Z, Z ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, Z )] ),
% 0.72/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 129, [ =( X, mult( rd( X, Y ), Y ) ) ] )
% 0.72/1.12 , clause( 2, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 130, [ =( X, mult( rd( Y, Y ), X ) ) ] )
% 0.72/1.12 , clause( 39, [ =( rd( Y, Y ), rd( Z, Z ) ) ] )
% 0.72/1.12 , 0, clause( 129, [ =( X, mult( rd( X, Y ), Y ) ) ] )
% 0.72/1.12 , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.72/1.12 substitution( 1, [ :=( X, X ), :=( Y, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 131, [ =( mult( rd( Y, Y ), X ), X ) ] )
% 0.72/1.12 , clause( 130, [ =( X, mult( rd( Y, Y ), X ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 46, [ =( mult( rd( Y, Y ), X ), X ) ] )
% 0.72/1.12 , clause( 131, [ =( mult( rd( Y, Y ), X ), X ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqswap(
% 0.72/1.12 clause( 133, [ ~( =( tuple( x1( X ), 'x1_2'( X ) ), tuple( mult( X, x1( X )
% 0.72/1.12 ), mult( 'x1_2'( X ), X ) ) ) ) ] )
% 0.72/1.12 , clause( 5, [ ~( =( tuple( mult( X, x1( X ) ), mult( 'x1_2'( X ), X ) ),
% 0.72/1.12 tuple( x1( X ), 'x1_2'( X ) ) ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 135, [ ~( =( tuple( x1( rd( X, X ) ), 'x1_2'( rd( X, X ) ) ), tuple(
% 0.72/1.12 x1( rd( X, X ) ), mult( 'x1_2'( rd( X, X ) ), rd( X, X ) ) ) ) ) ] )
% 0.72/1.12 , clause( 46, [ =( mult( rd( Y, Y ), X ), X ) ] )
% 0.72/1.12 , 0, clause( 133, [ ~( =( tuple( x1( X ), 'x1_2'( X ) ), tuple( mult( X, x1(
% 0.72/1.12 X ) ), mult( 'x1_2'( X ), X ) ) ) ) ] )
% 0.72/1.12 , 0, 12, substitution( 0, [ :=( X, x1( rd( X, X ) ) ), :=( Y, X )] ),
% 0.72/1.12 substitution( 1, [ :=( X, rd( X, X ) )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 paramod(
% 0.72/1.12 clause( 136, [ ~( =( tuple( x1( rd( X, X ) ), 'x1_2'( rd( X, X ) ) ), tuple(
% 0.72/1.12 x1( rd( X, X ) ), 'x1_2'( rd( X, X ) ) ) ) ) ] )
% 0.72/1.12 , clause( 29, [ =( mult( Y, rd( X, X ) ), Y ) ] )
% 0.72/1.12 , 0, clause( 135, [ ~( =( tuple( x1( rd( X, X ) ), 'x1_2'( rd( X, X ) ) ),
% 0.72/1.12 tuple( x1( rd( X, X ) ), mult( 'x1_2'( rd( X, X ) ), rd( X, X ) ) ) ) ) ]
% 0.72/1.12 )
% 0.72/1.12 , 0, 16, substitution( 0, [ :=( X, X ), :=( Y, 'x1_2'( rd( X, X ) ) )] ),
% 0.72/1.12 substitution( 1, [ :=( X, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 eqrefl(
% 0.72/1.12 clause( 137, [] )
% 0.72/1.12 , clause( 136, [ ~( =( tuple( x1( rd( X, X ) ), 'x1_2'( rd( X, X ) ) ),
% 0.72/1.12 tuple( x1( rd( X, X ) ), 'x1_2'( rd( X, X ) ) ) ) ) ] )
% 0.72/1.12 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 52, [] )
% 0.72/1.12 , clause( 137, [] )
% 0.72/1.12 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 end.
% 0.72/1.12
% 0.72/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.12
% 0.72/1.12 Memory use:
% 0.72/1.12
% 0.72/1.12 space for terms: 798
% 0.72/1.12 space for clauses: 7002
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 clauses generated: 431
% 0.72/1.12 clauses kept: 53
% 0.72/1.12 clauses selected: 24
% 0.72/1.12 clauses deleted: 0
% 0.72/1.12 clauses inuse deleted: 0
% 0.72/1.12
% 0.72/1.12 subsentry: 304
% 0.72/1.12 literals s-matched: 146
% 0.72/1.12 literals matched: 146
% 0.72/1.12 full subsumption: 0
% 0.72/1.12
% 0.72/1.12 checksum: -825401338
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Bliksem ended
%------------------------------------------------------------------------------