TSTP Solution File: GRP709-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP709-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 1.57s 1.97s
% Output : Refutation 1.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP709-1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jun 13 23:17:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.57/1.96 *** allocated 10000 integers for termspace/termends
% 1.57/1.96 *** allocated 10000 integers for clauses
% 1.57/1.96 *** allocated 10000 integers for justifications
% 1.57/1.96 Bliksem 1.12
% 1.57/1.96
% 1.57/1.96
% 1.57/1.96 Automatic Strategy Selection
% 1.57/1.96
% 1.57/1.96 Clauses:
% 1.57/1.96 [
% 1.57/1.96 [ =( mult( X, ld( X, Y ) ), Y ) ],
% 1.57/1.96 [ =( ld( X, mult( X, Y ) ), Y ) ],
% 1.57/1.96 [ =( mult( rd( X, Y ), Y ), X ) ],
% 1.57/1.96 [ =( rd( mult( X, Y ), Y ), X ) ],
% 1.57/1.96 [ =( mult( X, unit ), X ) ],
% 1.57/1.96 [ =( mult( unit, X ), X ) ],
% 1.57/1.96 [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult( Y, X ) ),
% 1.57/1.96 Z ) ) ],
% 1.57/1.96 [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ],
% 1.57/1.96 [ =( mult( X, mult( Y, 'op_c' ) ), mult( mult( X, Y ), 'op_c' ) ) ],
% 1.57/1.96 [ ~( =( mult( mult( 'op_c', 'op_c' ), mult( a, b ) ), mult( mult( mult(
% 1.57/1.96 'op_c', 'op_c' ), a ), b ) ) ) ]
% 1.57/1.96 ] .
% 1.57/1.96
% 1.57/1.96
% 1.57/1.96 percentage equality = 1.000000, percentage horn = 1.000000
% 1.57/1.96 This is a pure equality problem
% 1.57/1.96
% 1.57/1.96
% 1.57/1.96
% 1.57/1.96 Options Used:
% 1.57/1.96
% 1.57/1.96 useres = 1
% 1.57/1.96 useparamod = 1
% 1.57/1.96 useeqrefl = 1
% 1.57/1.96 useeqfact = 1
% 1.57/1.96 usefactor = 1
% 1.57/1.96 usesimpsplitting = 0
% 1.57/1.96 usesimpdemod = 5
% 1.57/1.96 usesimpres = 3
% 1.57/1.97
% 1.57/1.97 resimpinuse = 1000
% 1.57/1.97 resimpclauses = 20000
% 1.57/1.97 substype = eqrewr
% 1.57/1.97 backwardsubs = 1
% 1.57/1.97 selectoldest = 5
% 1.57/1.97
% 1.57/1.97 litorderings [0] = split
% 1.57/1.97 litorderings [1] = extend the termordering, first sorting on arguments
% 1.57/1.97
% 1.57/1.97 termordering = kbo
% 1.57/1.97
% 1.57/1.97 litapriori = 0
% 1.57/1.97 termapriori = 1
% 1.57/1.97 litaposteriori = 0
% 1.57/1.97 termaposteriori = 0
% 1.57/1.97 demodaposteriori = 0
% 1.57/1.97 ordereqreflfact = 0
% 1.57/1.97
% 1.57/1.97 litselect = negord
% 1.57/1.97
% 1.57/1.97 maxweight = 15
% 1.57/1.97 maxdepth = 30000
% 1.57/1.97 maxlength = 115
% 1.57/1.97 maxnrvars = 195
% 1.57/1.97 excuselevel = 1
% 1.57/1.97 increasemaxweight = 1
% 1.57/1.97
% 1.57/1.97 maxselected = 10000000
% 1.57/1.97 maxnrclauses = 10000000
% 1.57/1.97
% 1.57/1.97 showgenerated = 0
% 1.57/1.97 showkept = 0
% 1.57/1.97 showselected = 0
% 1.57/1.97 showdeleted = 0
% 1.57/1.97 showresimp = 1
% 1.57/1.97 showstatus = 2000
% 1.57/1.97
% 1.57/1.97 prologoutput = 1
% 1.57/1.97 nrgoals = 5000000
% 1.57/1.97 totalproof = 1
% 1.57/1.97
% 1.57/1.97 Symbols occurring in the translation:
% 1.57/1.97
% 1.57/1.97 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.57/1.97 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 1.57/1.97 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 1.57/1.97 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.57/1.97 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.57/1.97 ld [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 1.57/1.97 mult [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 1.57/1.97 rd [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 1.57/1.97 unit [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.57/1.97 'op_c' [46, 0] (w:1, o:7, a:1, s:1, b:0),
% 1.57/1.97 a [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.57/1.97 b [48, 0] (w:1, o:15, a:1, s:1, b:0).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 Starting Search:
% 1.57/1.97
% 1.57/1.97 Resimplifying inuse:
% 1.57/1.97 Done
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 Bliksems!, er is een bewijs:
% 1.57/1.97 % SZS status Unsatisfiable
% 1.57/1.97 % SZS output start Refutation
% 1.57/1.97
% 1.57/1.97 clause( 5, [ =( mult( unit, X ), X ) ] )
% 1.57/1.97 .
% 1.57/1.97 clause( 6, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult( Y
% 1.57/1.97 , X ) ), Z ) ) ] )
% 1.57/1.97 .
% 1.57/1.97 clause( 7, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 1.57/1.97 .
% 1.57/1.97 clause( 8, [ =( mult( X, mult( Y, 'op_c' ) ), mult( mult( X, Y ), 'op_c' )
% 1.57/1.97 ) ] )
% 1.57/1.97 .
% 1.57/1.97 clause( 9, [ ~( =( mult( mult( 'op_c', 'op_c' ), mult( a, b ) ), mult( mult(
% 1.57/1.97 mult( 'op_c', 'op_c' ), a ), b ) ) ) ] )
% 1.57/1.97 .
% 1.57/1.97 clause( 33, [ =( mult( mult( 'op_c', mult( Y, X ) ), 'op_c' ), mult( mult(
% 1.57/1.97 mult( 'op_c', Y ), 'op_c' ), X ) ) ] )
% 1.57/1.97 .
% 1.57/1.97 clause( 35, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 1.57/1.97 .
% 1.57/1.97 clause( 43, [ =( mult( Y, mult( 'op_c', X ) ), mult( mult( Y, X ), 'op_c' )
% 1.57/1.97 ) ] )
% 1.57/1.97 .
% 1.57/1.97 clause( 48, [ =( mult( mult( 'op_c', 'op_c' ), X ), mult( mult( 'op_c', X )
% 1.57/1.97 , 'op_c' ) ) ] )
% 1.57/1.97 .
% 1.57/1.97 clause( 109, [ ~( =( mult( mult( mult( 'op_c', 'op_c' ), a ), b ), mult(
% 1.57/1.97 mult( 'op_c', mult( a, b ) ), 'op_c' ) ) ) ] )
% 1.57/1.97 .
% 1.57/1.97 clause( 287, [ =( mult( mult( 'op_c', mult( X, Y ) ), 'op_c' ), mult( mult(
% 1.57/1.97 mult( 'op_c', 'op_c' ), X ), Y ) ) ] )
% 1.57/1.97 .
% 1.57/1.97 clause( 1546, [] )
% 1.57/1.97 .
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 % SZS output end Refutation
% 1.57/1.97 found a proof!
% 1.57/1.97
% 1.57/1.97 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.57/1.97
% 1.57/1.97 initialclauses(
% 1.57/1.97 [ clause( 1548, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 1.57/1.97 , clause( 1549, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 1.57/1.97 , clause( 1550, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 1.57/1.97 , clause( 1551, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 1.57/1.97 , clause( 1552, [ =( mult( X, unit ), X ) ] )
% 1.57/1.97 , clause( 1553, [ =( mult( unit, X ), X ) ] )
% 1.57/1.97 , clause( 1554, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X,
% 1.57/1.97 mult( Y, X ) ), Z ) ) ] )
% 1.57/1.97 , clause( 1555, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 1.57/1.97 , clause( 1556, [ =( mult( X, mult( Y, 'op_c' ) ), mult( mult( X, Y ),
% 1.57/1.97 'op_c' ) ) ] )
% 1.57/1.97 , clause( 1557, [ ~( =( mult( mult( 'op_c', 'op_c' ), mult( a, b ) ), mult(
% 1.57/1.97 mult( mult( 'op_c', 'op_c' ), a ), b ) ) ) ] )
% 1.57/1.97 ] ).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 subsumption(
% 1.57/1.97 clause( 5, [ =( mult( unit, X ), X ) ] )
% 1.57/1.97 , clause( 1553, [ =( mult( unit, X ), X ) ] )
% 1.57/1.97 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 subsumption(
% 1.57/1.97 clause( 6, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult( Y
% 1.57/1.97 , X ) ), Z ) ) ] )
% 1.57/1.97 , clause( 1554, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X,
% 1.57/1.97 mult( Y, X ) ), Z ) ) ] )
% 1.57/1.97 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.57/1.97 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 subsumption(
% 1.57/1.97 clause( 7, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 1.57/1.97 , clause( 1555, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 1.57/1.97 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 subsumption(
% 1.57/1.97 clause( 8, [ =( mult( X, mult( Y, 'op_c' ) ), mult( mult( X, Y ), 'op_c' )
% 1.57/1.97 ) ] )
% 1.57/1.97 , clause( 1556, [ =( mult( X, mult( Y, 'op_c' ) ), mult( mult( X, Y ),
% 1.57/1.97 'op_c' ) ) ] )
% 1.57/1.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.57/1.97 )] ) ).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 subsumption(
% 1.57/1.97 clause( 9, [ ~( =( mult( mult( 'op_c', 'op_c' ), mult( a, b ) ), mult( mult(
% 1.57/1.97 mult( 'op_c', 'op_c' ), a ), b ) ) ) ] )
% 1.57/1.97 , clause( 1557, [ ~( =( mult( mult( 'op_c', 'op_c' ), mult( a, b ) ), mult(
% 1.57/1.97 mult( mult( 'op_c', 'op_c' ), a ), b ) ) ) ] )
% 1.57/1.97 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 eqswap(
% 1.57/1.97 clause( 1599, [ =( mult( mult( X, mult( Y, X ) ), Z ), mult( X, mult( Y,
% 1.57/1.97 mult( X, Z ) ) ) ) ] )
% 1.57/1.97 , clause( 6, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult(
% 1.57/1.97 Y, X ) ), Z ) ) ] )
% 1.57/1.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 paramod(
% 1.57/1.97 clause( 1623, [ =( mult( mult( 'op_c', mult( X, 'op_c' ) ), Y ), mult(
% 1.57/1.97 'op_c', mult( X, mult( Y, 'op_c' ) ) ) ) ] )
% 1.57/1.97 , clause( 7, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 1.57/1.97 , 0, clause( 1599, [ =( mult( mult( X, mult( Y, X ) ), Z ), mult( X, mult(
% 1.57/1.97 Y, mult( X, Z ) ) ) ) ] )
% 1.57/1.97 , 0, 12, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, 'op_c'
% 1.57/1.97 ), :=( Y, X ), :=( Z, Y )] )).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 paramod(
% 1.57/1.97 clause( 1630, [ =( mult( mult( 'op_c', mult( X, 'op_c' ) ), Y ), mult(
% 1.57/1.97 'op_c', mult( mult( X, Y ), 'op_c' ) ) ) ] )
% 1.57/1.97 , clause( 8, [ =( mult( X, mult( Y, 'op_c' ) ), mult( mult( X, Y ), 'op_c'
% 1.57/1.97 ) ) ] )
% 1.57/1.97 , 0, clause( 1623, [ =( mult( mult( 'op_c', mult( X, 'op_c' ) ), Y ), mult(
% 1.57/1.97 'op_c', mult( X, mult( Y, 'op_c' ) ) ) ) ] )
% 1.57/1.97 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 1.57/1.97 :=( X, X ), :=( Y, Y )] )).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 paramod(
% 1.57/1.97 clause( 1635, [ =( mult( mult( 'op_c', mult( X, 'op_c' ) ), Y ), mult( mult(
% 1.57/1.97 'op_c', mult( X, Y ) ), 'op_c' ) ) ] )
% 1.57/1.97 , clause( 8, [ =( mult( X, mult( Y, 'op_c' ) ), mult( mult( X, Y ), 'op_c'
% 1.57/1.97 ) ) ] )
% 1.57/1.97 , 0, clause( 1630, [ =( mult( mult( 'op_c', mult( X, 'op_c' ) ), Y ), mult(
% 1.57/1.97 'op_c', mult( mult( X, Y ), 'op_c' ) ) ) ] )
% 1.57/1.97 , 0, 8, substitution( 0, [ :=( X, 'op_c' ), :=( Y, mult( X, Y ) )] ),
% 1.57/1.97 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 paramod(
% 1.57/1.97 clause( 1637, [ =( mult( mult( mult( 'op_c', X ), 'op_c' ), Y ), mult( mult(
% 1.57/1.97 'op_c', mult( X, Y ) ), 'op_c' ) ) ] )
% 1.57/1.97 , clause( 8, [ =( mult( X, mult( Y, 'op_c' ) ), mult( mult( X, Y ), 'op_c'
% 1.57/1.97 ) ) ] )
% 1.57/1.97 , 0, clause( 1635, [ =( mult( mult( 'op_c', mult( X, 'op_c' ) ), Y ), mult(
% 1.57/1.97 mult( 'op_c', mult( X, Y ) ), 'op_c' ) ) ] )
% 1.57/1.97 , 0, 2, substitution( 0, [ :=( X, 'op_c' ), :=( Y, X )] ), substitution( 1
% 1.57/1.97 , [ :=( X, X ), :=( Y, Y )] )).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 eqswap(
% 1.57/1.97 clause( 1638, [ =( mult( mult( 'op_c', mult( X, Y ) ), 'op_c' ), mult( mult(
% 1.57/1.97 mult( 'op_c', X ), 'op_c' ), Y ) ) ] )
% 1.57/1.97 , clause( 1637, [ =( mult( mult( mult( 'op_c', X ), 'op_c' ), Y ), mult(
% 1.57/1.97 mult( 'op_c', mult( X, Y ) ), 'op_c' ) ) ] )
% 1.57/1.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 subsumption(
% 1.57/1.97 clause( 33, [ =( mult( mult( 'op_c', mult( Y, X ) ), 'op_c' ), mult( mult(
% 1.57/1.97 mult( 'op_c', Y ), 'op_c' ), X ) ) ] )
% 1.57/1.97 , clause( 1638, [ =( mult( mult( 'op_c', mult( X, Y ) ), 'op_c' ), mult(
% 1.57/1.97 mult( mult( 'op_c', X ), 'op_c' ), Y ) ) ] )
% 1.57/1.97 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.57/1.97 )] ) ).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 eqswap(
% 1.57/1.97 clause( 1640, [ =( mult( mult( X, mult( Y, X ) ), Z ), mult( X, mult( Y,
% 1.57/1.97 mult( X, Z ) ) ) ) ] )
% 1.57/1.97 , clause( 6, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult(
% 1.57/1.97 Y, X ) ), Z ) ) ] )
% 1.57/1.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 paramod(
% 1.57/1.97 clause( 1652, [ =( mult( mult( X, mult( unit, X ) ), Y ), mult( X, mult( X
% 1.57/1.97 , Y ) ) ) ] )
% 1.57/1.97 , clause( 5, [ =( mult( unit, X ), X ) ] )
% 1.57/1.97 , 0, clause( 1640, [ =( mult( mult( X, mult( Y, X ) ), Z ), mult( X, mult(
% 1.57/1.97 Y, mult( X, Z ) ) ) ) ] )
% 1.57/1.97 , 0, 10, substitution( 0, [ :=( X, mult( X, Y ) )] ), substitution( 1, [
% 1.57/1.97 :=( X, X ), :=( Y, unit ), :=( Z, Y )] )).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 paramod(
% 1.57/1.97 clause( 1669, [ =( mult( mult( X, X ), Y ), mult( X, mult( X, Y ) ) ) ] )
% 1.57/1.97 , clause( 5, [ =( mult( unit, X ), X ) ] )
% 1.57/1.97 , 0, clause( 1652, [ =( mult( mult( X, mult( unit, X ) ), Y ), mult( X,
% 1.57/1.97 mult( X, Y ) ) ) ] )
% 1.57/1.97 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.57/1.97 :=( Y, Y )] )).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 eqswap(
% 1.57/1.97 clause( 1670, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 1.57/1.97 , clause( 1669, [ =( mult( mult( X, X ), Y ), mult( X, mult( X, Y ) ) ) ]
% 1.57/1.97 )
% 1.57/1.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 subsumption(
% 1.57/1.97 clause( 35, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 1.57/1.97 , clause( 1670, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ]
% 1.57/1.97 )
% 1.57/1.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.57/1.97 )] ) ).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 eqswap(
% 1.57/1.97 clause( 1671, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 1.57/1.97 , clause( 7, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 1.57/1.97 , 0, substitution( 0, [ :=( X, X )] )).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 eqswap(
% 1.57/1.97 clause( 1672, [ =( mult( mult( X, Y ), 'op_c' ), mult( X, mult( Y, 'op_c' )
% 1.57/1.97 ) ) ] )
% 1.57/1.97 , clause( 8, [ =( mult( X, mult( Y, 'op_c' ) ), mult( mult( X, Y ), 'op_c'
% 1.57/1.97 ) ) ] )
% 1.57/1.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 paramod(
% 1.57/1.97 clause( 1675, [ =( mult( mult( X, Y ), 'op_c' ), mult( X, mult( 'op_c', Y )
% 1.57/1.97 ) ) ] )
% 1.57/1.97 , clause( 1671, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 1.57/1.97 , 0, clause( 1672, [ =( mult( mult( X, Y ), 'op_c' ), mult( X, mult( Y,
% 1.57/1.97 'op_c' ) ) ) ] )
% 1.57/1.97 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 1.57/1.97 :=( Y, Y )] )).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 eqswap(
% 1.57/1.97 clause( 1682, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, Y ), 'op_c'
% 1.57/1.97 ) ) ] )
% 1.57/1.97 , clause( 1675, [ =( mult( mult( X, Y ), 'op_c' ), mult( X, mult( 'op_c', Y
% 1.57/1.97 ) ) ) ] )
% 1.57/1.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 subsumption(
% 1.57/1.97 clause( 43, [ =( mult( Y, mult( 'op_c', X ) ), mult( mult( Y, X ), 'op_c' )
% 1.57/1.97 ) ] )
% 1.57/1.97 , clause( 1682, [ =( mult( X, mult( 'op_c', Y ) ), mult( mult( X, Y ),
% 1.57/1.97 'op_c' ) ) ] )
% 1.57/1.97 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.57/1.97 )] ) ).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 eqswap(
% 1.57/1.97 clause( 1683, [ =( mult( mult( X, X ), Y ), mult( X, mult( X, Y ) ) ) ] )
% 1.57/1.97 , clause( 35, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 1.57/1.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 paramod(
% 1.57/1.97 clause( 1687, [ =( mult( mult( 'op_c', 'op_c' ), X ), mult( mult( 'op_c', X
% 1.57/1.97 ), 'op_c' ) ) ] )
% 1.57/1.97 , clause( 43, [ =( mult( Y, mult( 'op_c', X ) ), mult( mult( Y, X ), 'op_c'
% 1.57/1.97 ) ) ] )
% 1.57/1.97 , 0, clause( 1683, [ =( mult( mult( X, X ), Y ), mult( X, mult( X, Y ) ) )
% 1.57/1.97 ] )
% 1.57/1.97 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, 'op_c' )] ), substitution( 1
% 1.57/1.97 , [ :=( X, 'op_c' ), :=( Y, X )] )).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 subsumption(
% 1.57/1.97 clause( 48, [ =( mult( mult( 'op_c', 'op_c' ), X ), mult( mult( 'op_c', X )
% 1.57/1.97 , 'op_c' ) ) ] )
% 1.57/1.97 , clause( 1687, [ =( mult( mult( 'op_c', 'op_c' ), X ), mult( mult( 'op_c'
% 1.57/1.97 , X ), 'op_c' ) ) ] )
% 1.57/1.97 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 eqswap(
% 1.57/1.97 clause( 1696, [ ~( =( mult( mult( mult( 'op_c', 'op_c' ), a ), b ), mult(
% 1.57/1.97 mult( 'op_c', 'op_c' ), mult( a, b ) ) ) ) ] )
% 1.57/1.97 , clause( 9, [ ~( =( mult( mult( 'op_c', 'op_c' ), mult( a, b ) ), mult(
% 1.57/1.97 mult( mult( 'op_c', 'op_c' ), a ), b ) ) ) ] )
% 1.57/1.97 , 0, substitution( 0, [] )).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 paramod(
% 1.57/1.97 clause( 1698, [ ~( =( mult( mult( mult( 'op_c', 'op_c' ), a ), b ), mult(
% 1.57/1.97 mult( 'op_c', mult( a, b ) ), 'op_c' ) ) ) ] )
% 1.57/1.97 , clause( 48, [ =( mult( mult( 'op_c', 'op_c' ), X ), mult( mult( 'op_c', X
% 1.57/1.97 ), 'op_c' ) ) ] )
% 1.57/1.97 , 0, clause( 1696, [ ~( =( mult( mult( mult( 'op_c', 'op_c' ), a ), b ),
% 1.57/1.97 mult( mult( 'op_c', 'op_c' ), mult( a, b ) ) ) ) ] )
% 1.57/1.97 , 0, 9, substitution( 0, [ :=( X, mult( a, b ) )] ), substitution( 1, [] )
% 1.57/1.97 ).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 subsumption(
% 1.57/1.97 clause( 109, [ ~( =( mult( mult( mult( 'op_c', 'op_c' ), a ), b ), mult(
% 1.57/1.97 mult( 'op_c', mult( a, b ) ), 'op_c' ) ) ) ] )
% 1.57/1.97 , clause( 1698, [ ~( =( mult( mult( mult( 'op_c', 'op_c' ), a ), b ), mult(
% 1.57/1.97 mult( 'op_c', mult( a, b ) ), 'op_c' ) ) ) ] )
% 1.57/1.97 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 eqswap(
% 1.57/1.97 clause( 1703, [ =( mult( mult( 'op_c', X ), 'op_c' ), mult( mult( 'op_c',
% 1.57/1.97 'op_c' ), X ) ) ] )
% 1.57/1.97 , clause( 48, [ =( mult( mult( 'op_c', 'op_c' ), X ), mult( mult( 'op_c', X
% 1.57/1.97 ), 'op_c' ) ) ] )
% 1.57/1.97 , 0, substitution( 0, [ :=( X, X )] )).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 eqswap(
% 1.57/1.97 clause( 1704, [ =( mult( mult( mult( 'op_c', X ), 'op_c' ), Y ), mult( mult(
% 1.57/1.97 'op_c', mult( X, Y ) ), 'op_c' ) ) ] )
% 1.57/1.97 , clause( 33, [ =( mult( mult( 'op_c', mult( Y, X ) ), 'op_c' ), mult( mult(
% 1.57/1.97 mult( 'op_c', Y ), 'op_c' ), X ) ) ] )
% 1.57/1.97 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 paramod(
% 1.57/1.97 clause( 1705, [ =( mult( mult( mult( 'op_c', 'op_c' ), X ), Y ), mult( mult(
% 1.57/1.97 'op_c', mult( X, Y ) ), 'op_c' ) ) ] )
% 1.57/1.97 , clause( 1703, [ =( mult( mult( 'op_c', X ), 'op_c' ), mult( mult( 'op_c'
% 1.57/1.97 , 'op_c' ), X ) ) ] )
% 1.57/1.97 , 0, clause( 1704, [ =( mult( mult( mult( 'op_c', X ), 'op_c' ), Y ), mult(
% 1.57/1.97 mult( 'op_c', mult( X, Y ) ), 'op_c' ) ) ] )
% 1.57/1.97 , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 1.57/1.97 :=( Y, Y )] )).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 eqswap(
% 1.57/1.97 clause( 1712, [ =( mult( mult( 'op_c', mult( X, Y ) ), 'op_c' ), mult( mult(
% 1.57/1.97 mult( 'op_c', 'op_c' ), X ), Y ) ) ] )
% 1.57/1.97 , clause( 1705, [ =( mult( mult( mult( 'op_c', 'op_c' ), X ), Y ), mult(
% 1.57/1.97 mult( 'op_c', mult( X, Y ) ), 'op_c' ) ) ] )
% 1.57/1.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 subsumption(
% 1.57/1.97 clause( 287, [ =( mult( mult( 'op_c', mult( X, Y ) ), 'op_c' ), mult( mult(
% 1.57/1.97 mult( 'op_c', 'op_c' ), X ), Y ) ) ] )
% 1.57/1.97 , clause( 1712, [ =( mult( mult( 'op_c', mult( X, Y ) ), 'op_c' ), mult(
% 1.57/1.97 mult( mult( 'op_c', 'op_c' ), X ), Y ) ) ] )
% 1.57/1.97 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.57/1.97 )] ) ).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 eqswap(
% 1.57/1.97 clause( 1719, [ =( mult( mult( mult( 'op_c', 'op_c' ), X ), Y ), mult( mult(
% 1.57/1.97 'op_c', mult( X, Y ) ), 'op_c' ) ) ] )
% 1.57/1.97 , clause( 287, [ =( mult( mult( 'op_c', mult( X, Y ) ), 'op_c' ), mult(
% 1.57/1.97 mult( mult( 'op_c', 'op_c' ), X ), Y ) ) ] )
% 1.57/1.97 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 eqswap(
% 1.57/1.97 clause( 1720, [ ~( =( mult( mult( 'op_c', mult( a, b ) ), 'op_c' ), mult(
% 1.57/1.97 mult( mult( 'op_c', 'op_c' ), a ), b ) ) ) ] )
% 1.57/1.97 , clause( 109, [ ~( =( mult( mult( mult( 'op_c', 'op_c' ), a ), b ), mult(
% 1.57/1.97 mult( 'op_c', mult( a, b ) ), 'op_c' ) ) ) ] )
% 1.57/1.97 , 0, substitution( 0, [] )).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 paramod(
% 1.57/1.97 clause( 1721, [ ~( =( mult( mult( 'op_c', mult( a, b ) ), 'op_c' ), mult(
% 1.57/1.97 mult( 'op_c', mult( a, b ) ), 'op_c' ) ) ) ] )
% 1.57/1.97 , clause( 1719, [ =( mult( mult( mult( 'op_c', 'op_c' ), X ), Y ), mult(
% 1.57/1.97 mult( 'op_c', mult( X, Y ) ), 'op_c' ) ) ] )
% 1.57/1.97 , 0, clause( 1720, [ ~( =( mult( mult( 'op_c', mult( a, b ) ), 'op_c' ),
% 1.57/1.97 mult( mult( mult( 'op_c', 'op_c' ), a ), b ) ) ) ] )
% 1.57/1.97 , 0, 9, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 1.57/1.97 ).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 eqrefl(
% 1.57/1.97 clause( 1722, [] )
% 1.57/1.97 , clause( 1721, [ ~( =( mult( mult( 'op_c', mult( a, b ) ), 'op_c' ), mult(
% 1.57/1.97 mult( 'op_c', mult( a, b ) ), 'op_c' ) ) ) ] )
% 1.57/1.97 , 0, substitution( 0, [] )).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 subsumption(
% 1.57/1.97 clause( 1546, [] )
% 1.57/1.97 , clause( 1722, [] )
% 1.57/1.97 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 end.
% 1.57/1.97
% 1.57/1.97 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.57/1.97
% 1.57/1.97 Memory use:
% 1.57/1.97
% 1.57/1.97 space for terms: 22108
% 1.57/1.97 space for clauses: 190874
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 clauses generated: 113506
% 1.57/1.97 clauses kept: 1547
% 1.57/1.97 clauses selected: 544
% 1.57/1.97 clauses deleted: 320
% 1.57/1.97 clauses inuse deleted: 73
% 1.57/1.97
% 1.57/1.97 subsentry: 5936
% 1.57/1.97 literals s-matched: 5307
% 1.57/1.97 literals matched: 5292
% 1.57/1.97 full subsumption: 0
% 1.57/1.97
% 1.57/1.97 checksum: 1205859830
% 1.57/1.97
% 1.57/1.97
% 1.57/1.97 Bliksem ended
%------------------------------------------------------------------------------