TSTP Solution File: GRP680-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP680-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 07:38:49 EDT 2022
% Result : Unsatisfiable 0.74s 1.09s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP680-1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Tue Jun 14 07:10:27 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.74/1.09 *** allocated 10000 integers for termspace/termends
% 0.74/1.09 *** allocated 10000 integers for clauses
% 0.74/1.09 *** allocated 10000 integers for justifications
% 0.74/1.09 Bliksem 1.12
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 Automatic Strategy Selection
% 0.74/1.09
% 0.74/1.09 Clauses:
% 0.74/1.09 [
% 0.74/1.09 [ =( mult( X, ld( X, Y ) ), Y ) ],
% 0.74/1.09 [ =( ld( X, mult( X, Y ) ), Y ) ],
% 0.74/1.09 [ =( mult( rd( X, Y ), Y ), X ) ],
% 0.74/1.09 [ =( rd( mult( X, Y ), Y ), X ) ],
% 0.74/1.09 [ =( mult( X, unit ), X ) ],
% 0.74/1.09 [ =( mult( unit, X ), X ) ],
% 0.74/1.09 [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult( Y, X ) ),
% 0.74/1.09 Z ) ) ],
% 0.74/1.09 [ =( mult( i( X ), mult( X, Y ) ), Y ) ],
% 0.74/1.09 [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ],
% 0.74/1.09 [ ~( =( mult( i( 'op_c' ), a ), mult( a, i( 'op_c' ) ) ) ) ]
% 0.74/1.09 ] .
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 percentage equality = 1.000000, percentage horn = 1.000000
% 0.74/1.09 This is a pure equality problem
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 Options Used:
% 0.74/1.09
% 0.74/1.09 useres = 1
% 0.74/1.09 useparamod = 1
% 0.74/1.09 useeqrefl = 1
% 0.74/1.09 useeqfact = 1
% 0.74/1.09 usefactor = 1
% 0.74/1.09 usesimpsplitting = 0
% 0.74/1.09 usesimpdemod = 5
% 0.74/1.09 usesimpres = 3
% 0.74/1.09
% 0.74/1.09 resimpinuse = 1000
% 0.74/1.09 resimpclauses = 20000
% 0.74/1.09 substype = eqrewr
% 0.74/1.09 backwardsubs = 1
% 0.74/1.09 selectoldest = 5
% 0.74/1.09
% 0.74/1.09 litorderings [0] = split
% 0.74/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.74/1.09
% 0.74/1.09 termordering = kbo
% 0.74/1.09
% 0.74/1.09 litapriori = 0
% 0.74/1.09 termapriori = 1
% 0.74/1.09 litaposteriori = 0
% 0.74/1.09 termaposteriori = 0
% 0.74/1.09 demodaposteriori = 0
% 0.74/1.09 ordereqreflfact = 0
% 0.74/1.09
% 0.74/1.09 litselect = negord
% 0.74/1.09
% 0.74/1.09 maxweight = 15
% 0.74/1.09 maxdepth = 30000
% 0.74/1.09 maxlength = 115
% 0.74/1.09 maxnrvars = 195
% 0.74/1.09 excuselevel = 1
% 0.74/1.09 increasemaxweight = 1
% 0.74/1.09
% 0.74/1.09 maxselected = 10000000
% 0.74/1.09 maxnrclauses = 10000000
% 0.74/1.09
% 0.74/1.09 showgenerated = 0
% 0.74/1.09 showkept = 0
% 0.74/1.09 showselected = 0
% 0.74/1.09 showdeleted = 0
% 0.74/1.09 showresimp = 1
% 0.74/1.09 showstatus = 2000
% 0.74/1.09
% 0.74/1.09 prologoutput = 1
% 0.74/1.09 nrgoals = 5000000
% 0.74/1.09 totalproof = 1
% 0.74/1.09
% 0.74/1.09 Symbols occurring in the translation:
% 0.74/1.09
% 0.74/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.09 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.74/1.09 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.74/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.09 ld [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.74/1.09 mult [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.74/1.09 rd [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.74/1.09 unit [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.74/1.09 i [46, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.74/1.09 'op_c' [47, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.74/1.09 a [48, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 Starting Search:
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 Bliksems!, er is een bewijs:
% 0.74/1.09 % SZS status Unsatisfiable
% 0.74/1.09 % SZS output start Refutation
% 0.74/1.09
% 0.74/1.09 clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.74/1.09 .
% 0.74/1.09 clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.74/1.09 .
% 0.74/1.09 clause( 4, [ =( mult( X, unit ), X ) ] )
% 0.74/1.09 .
% 0.74/1.09 clause( 6, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult( Y
% 0.74/1.09 , X ) ), Z ) ) ] )
% 0.74/1.09 .
% 0.74/1.09 clause( 7, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.74/1.09 .
% 0.74/1.09 clause( 8, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.74/1.09 .
% 0.74/1.09 clause( 9, [ ~( =( mult( a, i( 'op_c' ) ), mult( i( 'op_c' ), a ) ) ) ] )
% 0.74/1.09 .
% 0.74/1.09 clause( 15, [ =( mult( ld( 'op_c', X ), 'op_c' ), X ) ] )
% 0.74/1.09 .
% 0.74/1.09 clause( 21, [ =( ld( X, X ), unit ) ] )
% 0.74/1.09 .
% 0.74/1.09 clause( 34, [ =( mult( X, mult( Y, mult( 'op_c', X ) ) ), mult( mult( X,
% 0.74/1.09 mult( Y, X ) ), 'op_c' ) ) ] )
% 0.74/1.09 .
% 0.74/1.09 clause( 42, [ =( ld( i( X ), Y ), mult( X, Y ) ) ] )
% 0.74/1.09 .
% 0.74/1.09 clause( 44, [ =( mult( i( X ), Y ), ld( X, Y ) ) ] )
% 0.74/1.09 .
% 0.74/1.09 clause( 47, [ =( mult( X, i( X ) ), unit ) ] )
% 0.74/1.09 .
% 0.74/1.09 clause( 52, [ ~( =( mult( a, i( 'op_c' ) ), ld( 'op_c', a ) ) ) ] )
% 0.74/1.09 .
% 0.74/1.09 clause( 178, [ =( mult( X, i( 'op_c' ) ), ld( 'op_c', X ) ) ] )
% 0.74/1.09 .
% 0.74/1.09 clause( 183, [] )
% 0.74/1.09 .
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 % SZS output end Refutation
% 0.74/1.09 found a proof!
% 0.74/1.09
% 0.74/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.09
% 0.74/1.09 initialclauses(
% 0.74/1.09 [ clause( 185, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.74/1.09 , clause( 186, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.74/1.09 , clause( 187, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.74/1.09 , clause( 188, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.74/1.09 , clause( 189, [ =( mult( X, unit ), X ) ] )
% 0.74/1.09 , clause( 190, [ =( mult( unit, X ), X ) ] )
% 0.74/1.09 , clause( 191, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult(
% 0.74/1.09 Y, X ) ), Z ) ) ] )
% 0.74/1.09 , clause( 192, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.74/1.09 , clause( 193, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.74/1.09 , clause( 194, [ ~( =( mult( i( 'op_c' ), a ), mult( a, i( 'op_c' ) ) ) ) ]
% 0.74/1.09 )
% 0.74/1.09 ] ).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 subsumption(
% 0.74/1.09 clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.74/1.09 , clause( 185, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.74/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.09 )] ) ).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 subsumption(
% 0.74/1.09 clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.74/1.09 , clause( 186, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.74/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.09 )] ) ).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 subsumption(
% 0.74/1.09 clause( 4, [ =( mult( X, unit ), X ) ] )
% 0.74/1.09 , clause( 189, [ =( mult( X, unit ), X ) ] )
% 0.74/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 subsumption(
% 0.74/1.09 clause( 6, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult( Y
% 0.74/1.09 , X ) ), Z ) ) ] )
% 0.74/1.09 , clause( 191, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult(
% 0.74/1.09 Y, X ) ), Z ) ) ] )
% 0.74/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.74/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 subsumption(
% 0.74/1.09 clause( 7, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.74/1.09 , clause( 192, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.74/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.09 )] ) ).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 subsumption(
% 0.74/1.09 clause( 8, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.74/1.09 , clause( 193, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.74/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 eqswap(
% 0.74/1.09 clause( 236, [ ~( =( mult( a, i( 'op_c' ) ), mult( i( 'op_c' ), a ) ) ) ]
% 0.74/1.09 )
% 0.74/1.09 , clause( 194, [ ~( =( mult( i( 'op_c' ), a ), mult( a, i( 'op_c' ) ) ) ) ]
% 0.74/1.09 )
% 0.74/1.09 , 0, substitution( 0, [] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 subsumption(
% 0.74/1.09 clause( 9, [ ~( =( mult( a, i( 'op_c' ) ), mult( i( 'op_c' ), a ) ) ) ] )
% 0.74/1.09 , clause( 236, [ ~( =( mult( a, i( 'op_c' ) ), mult( i( 'op_c' ), a ) ) ) ]
% 0.74/1.09 )
% 0.74/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 eqswap(
% 0.74/1.09 clause( 237, [ =( Y, mult( X, ld( X, Y ) ) ) ] )
% 0.74/1.09 , clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.74/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 paramod(
% 0.74/1.09 clause( 239, [ =( X, mult( ld( 'op_c', X ), 'op_c' ) ) ] )
% 0.74/1.09 , clause( 8, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.74/1.09 , 0, clause( 237, [ =( Y, mult( X, ld( X, Y ) ) ) ] )
% 0.74/1.09 , 0, 2, substitution( 0, [ :=( X, ld( 'op_c', X ) )] ), substitution( 1, [
% 0.74/1.09 :=( X, 'op_c' ), :=( Y, X )] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 eqswap(
% 0.74/1.09 clause( 240, [ =( mult( ld( 'op_c', X ), 'op_c' ), X ) ] )
% 0.74/1.09 , clause( 239, [ =( X, mult( ld( 'op_c', X ), 'op_c' ) ) ] )
% 0.74/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 subsumption(
% 0.74/1.09 clause( 15, [ =( mult( ld( 'op_c', X ), 'op_c' ), X ) ] )
% 0.74/1.09 , clause( 240, [ =( mult( ld( 'op_c', X ), 'op_c' ), X ) ] )
% 0.74/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 eqswap(
% 0.74/1.09 clause( 242, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.74/1.09 , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.74/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 paramod(
% 0.74/1.09 clause( 243, [ =( unit, ld( X, X ) ) ] )
% 0.74/1.09 , clause( 4, [ =( mult( X, unit ), X ) ] )
% 0.74/1.09 , 0, clause( 242, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.74/1.09 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.74/1.09 :=( Y, unit )] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 eqswap(
% 0.74/1.09 clause( 244, [ =( ld( X, X ), unit ) ] )
% 0.74/1.09 , clause( 243, [ =( unit, ld( X, X ) ) ] )
% 0.74/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 subsumption(
% 0.74/1.09 clause( 21, [ =( ld( X, X ), unit ) ] )
% 0.74/1.09 , clause( 244, [ =( ld( X, X ), unit ) ] )
% 0.74/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 eqswap(
% 0.74/1.09 clause( 245, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 0.74/1.09 , clause( 8, [ =( mult( 'op_c', X ), mult( X, 'op_c' ) ) ] )
% 0.74/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 eqswap(
% 0.74/1.09 clause( 246, [ =( mult( mult( X, mult( Y, X ) ), Z ), mult( X, mult( Y,
% 0.74/1.09 mult( X, Z ) ) ) ) ] )
% 0.74/1.09 , clause( 6, [ =( mult( X, mult( Y, mult( X, Z ) ) ), mult( mult( X, mult(
% 0.74/1.09 Y, X ) ), Z ) ) ] )
% 0.74/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 paramod(
% 0.74/1.09 clause( 249, [ =( mult( mult( X, mult( Y, X ) ), 'op_c' ), mult( X, mult( Y
% 0.74/1.09 , mult( 'op_c', X ) ) ) ) ] )
% 0.74/1.09 , clause( 245, [ =( mult( X, 'op_c' ), mult( 'op_c', X ) ) ] )
% 0.74/1.09 , 0, clause( 246, [ =( mult( mult( X, mult( Y, X ) ), Z ), mult( X, mult( Y
% 0.74/1.09 , mult( X, Z ) ) ) ) ] )
% 0.74/1.09 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.74/1.09 :=( Y, Y ), :=( Z, 'op_c' )] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 eqswap(
% 0.74/1.09 clause( 254, [ =( mult( X, mult( Y, mult( 'op_c', X ) ) ), mult( mult( X,
% 0.74/1.09 mult( Y, X ) ), 'op_c' ) ) ] )
% 0.74/1.09 , clause( 249, [ =( mult( mult( X, mult( Y, X ) ), 'op_c' ), mult( X, mult(
% 0.74/1.09 Y, mult( 'op_c', X ) ) ) ) ] )
% 0.74/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 subsumption(
% 0.74/1.09 clause( 34, [ =( mult( X, mult( Y, mult( 'op_c', X ) ) ), mult( mult( X,
% 0.74/1.09 mult( Y, X ) ), 'op_c' ) ) ] )
% 0.74/1.09 , clause( 254, [ =( mult( X, mult( Y, mult( 'op_c', X ) ) ), mult( mult( X
% 0.74/1.09 , mult( Y, X ) ), 'op_c' ) ) ] )
% 0.74/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.09 )] ) ).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 eqswap(
% 0.74/1.09 clause( 256, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.74/1.09 , clause( 1, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.74/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 paramod(
% 0.74/1.09 clause( 257, [ =( mult( X, Y ), ld( i( X ), Y ) ) ] )
% 0.74/1.09 , clause( 7, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.74/1.09 , 0, clause( 256, [ =( Y, ld( X, mult( X, Y ) ) ) ] )
% 0.74/1.09 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.74/1.09 :=( X, i( X ) ), :=( Y, mult( X, Y ) )] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 eqswap(
% 0.74/1.09 clause( 258, [ =( ld( i( X ), Y ), mult( X, Y ) ) ] )
% 0.74/1.09 , clause( 257, [ =( mult( X, Y ), ld( i( X ), Y ) ) ] )
% 0.74/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 subsumption(
% 0.74/1.09 clause( 42, [ =( ld( i( X ), Y ), mult( X, Y ) ) ] )
% 0.74/1.09 , clause( 258, [ =( ld( i( X ), Y ), mult( X, Y ) ) ] )
% 0.74/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.09 )] ) ).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 eqswap(
% 0.74/1.09 clause( 260, [ =( Y, mult( i( X ), mult( X, Y ) ) ) ] )
% 0.74/1.09 , clause( 7, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.74/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 paramod(
% 0.74/1.09 clause( 261, [ =( ld( X, Y ), mult( i( X ), Y ) ) ] )
% 0.74/1.09 , clause( 0, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.74/1.09 , 0, clause( 260, [ =( Y, mult( i( X ), mult( X, Y ) ) ) ] )
% 0.74/1.09 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.74/1.09 :=( X, X ), :=( Y, ld( X, Y ) )] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 eqswap(
% 0.74/1.09 clause( 262, [ =( mult( i( X ), Y ), ld( X, Y ) ) ] )
% 0.74/1.09 , clause( 261, [ =( ld( X, Y ), mult( i( X ), Y ) ) ] )
% 0.74/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 subsumption(
% 0.74/1.09 clause( 44, [ =( mult( i( X ), Y ), ld( X, Y ) ) ] )
% 0.74/1.09 , clause( 262, [ =( mult( i( X ), Y ), ld( X, Y ) ) ] )
% 0.74/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.09 )] ) ).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 eqswap(
% 0.74/1.09 clause( 263, [ =( mult( X, Y ), ld( i( X ), Y ) ) ] )
% 0.74/1.09 , clause( 42, [ =( ld( i( X ), Y ), mult( X, Y ) ) ] )
% 0.74/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 paramod(
% 0.74/1.09 clause( 265, [ =( mult( X, i( X ) ), unit ) ] )
% 0.74/1.09 , clause( 21, [ =( ld( X, X ), unit ) ] )
% 0.74/1.09 , 0, clause( 263, [ =( mult( X, Y ), ld( i( X ), Y ) ) ] )
% 0.74/1.09 , 0, 5, substitution( 0, [ :=( X, i( X ) )] ), substitution( 1, [ :=( X, X
% 0.74/1.09 ), :=( Y, i( X ) )] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 subsumption(
% 0.74/1.09 clause( 47, [ =( mult( X, i( X ) ), unit ) ] )
% 0.74/1.09 , clause( 265, [ =( mult( X, i( X ) ), unit ) ] )
% 0.74/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 paramod(
% 0.74/1.09 clause( 269, [ ~( =( mult( a, i( 'op_c' ) ), ld( 'op_c', a ) ) ) ] )
% 0.74/1.09 , clause( 44, [ =( mult( i( X ), Y ), ld( X, Y ) ) ] )
% 0.74/1.09 , 0, clause( 9, [ ~( =( mult( a, i( 'op_c' ) ), mult( i( 'op_c' ), a ) ) )
% 0.74/1.09 ] )
% 0.74/1.09 , 0, 6, substitution( 0, [ :=( X, 'op_c' ), :=( Y, a )] ), substitution( 1
% 0.74/1.09 , [] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 subsumption(
% 0.74/1.09 clause( 52, [ ~( =( mult( a, i( 'op_c' ) ), ld( 'op_c', a ) ) ) ] )
% 0.74/1.09 , clause( 269, [ ~( =( mult( a, i( 'op_c' ) ), ld( 'op_c', a ) ) ) ] )
% 0.74/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 eqswap(
% 0.74/1.09 clause( 272, [ =( mult( mult( X, mult( Y, X ) ), 'op_c' ), mult( X, mult( Y
% 0.74/1.09 , mult( 'op_c', X ) ) ) ) ] )
% 0.74/1.09 , clause( 34, [ =( mult( X, mult( Y, mult( 'op_c', X ) ) ), mult( mult( X,
% 0.74/1.09 mult( Y, X ) ), 'op_c' ) ) ] )
% 0.74/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 paramod(
% 0.74/1.09 clause( 278, [ =( mult( mult( i( 'op_c' ), mult( X, i( 'op_c' ) ) ), 'op_c'
% 0.74/1.09 ), mult( i( 'op_c' ), mult( X, unit ) ) ) ] )
% 0.74/1.09 , clause( 47, [ =( mult( X, i( X ) ), unit ) ] )
% 0.74/1.09 , 0, clause( 272, [ =( mult( mult( X, mult( Y, X ) ), 'op_c' ), mult( X,
% 0.74/1.09 mult( Y, mult( 'op_c', X ) ) ) ) ] )
% 0.74/1.09 , 0, 15, substitution( 0, [ :=( X, 'op_c' )] ), substitution( 1, [ :=( X, i(
% 0.74/1.09 'op_c' ) ), :=( Y, X )] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 paramod(
% 0.74/1.09 clause( 280, [ =( mult( mult( i( 'op_c' ), mult( X, i( 'op_c' ) ) ), 'op_c'
% 0.74/1.09 ), ld( 'op_c', mult( X, unit ) ) ) ] )
% 0.74/1.09 , clause( 44, [ =( mult( i( X ), Y ), ld( X, Y ) ) ] )
% 0.74/1.09 , 0, clause( 278, [ =( mult( mult( i( 'op_c' ), mult( X, i( 'op_c' ) ) ),
% 0.74/1.09 'op_c' ), mult( i( 'op_c' ), mult( X, unit ) ) ) ] )
% 0.74/1.09 , 0, 10, substitution( 0, [ :=( X, 'op_c' ), :=( Y, mult( X, unit ) )] ),
% 0.74/1.09 substitution( 1, [ :=( X, X )] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 paramod(
% 0.74/1.09 clause( 282, [ =( mult( mult( i( 'op_c' ), mult( X, i( 'op_c' ) ) ), 'op_c'
% 0.74/1.09 ), ld( 'op_c', X ) ) ] )
% 0.74/1.09 , clause( 4, [ =( mult( X, unit ), X ) ] )
% 0.74/1.09 , 0, clause( 280, [ =( mult( mult( i( 'op_c' ), mult( X, i( 'op_c' ) ) ),
% 0.74/1.09 'op_c' ), ld( 'op_c', mult( X, unit ) ) ) ] )
% 0.74/1.09 , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.74/1.09 ).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 paramod(
% 0.74/1.09 clause( 283, [ =( mult( ld( 'op_c', mult( X, i( 'op_c' ) ) ), 'op_c' ), ld(
% 0.74/1.09 'op_c', X ) ) ] )
% 0.74/1.09 , clause( 44, [ =( mult( i( X ), Y ), ld( X, Y ) ) ] )
% 0.74/1.09 , 0, clause( 282, [ =( mult( mult( i( 'op_c' ), mult( X, i( 'op_c' ) ) ),
% 0.74/1.09 'op_c' ), ld( 'op_c', X ) ) ] )
% 0.74/1.09 , 0, 2, substitution( 0, [ :=( X, 'op_c' ), :=( Y, mult( X, i( 'op_c' ) ) )] )
% 0.74/1.09 , substitution( 1, [ :=( X, X )] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 paramod(
% 0.74/1.09 clause( 284, [ =( mult( X, i( 'op_c' ) ), ld( 'op_c', X ) ) ] )
% 0.74/1.09 , clause( 15, [ =( mult( ld( 'op_c', X ), 'op_c' ), X ) ] )
% 0.74/1.09 , 0, clause( 283, [ =( mult( ld( 'op_c', mult( X, i( 'op_c' ) ) ), 'op_c' )
% 0.74/1.09 , ld( 'op_c', X ) ) ] )
% 0.74/1.09 , 0, 1, substitution( 0, [ :=( X, mult( X, i( 'op_c' ) ) )] ),
% 0.74/1.09 substitution( 1, [ :=( X, X )] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 subsumption(
% 0.74/1.09 clause( 178, [ =( mult( X, i( 'op_c' ) ), ld( 'op_c', X ) ) ] )
% 0.74/1.09 , clause( 284, [ =( mult( X, i( 'op_c' ) ), ld( 'op_c', X ) ) ] )
% 0.74/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 eqswap(
% 0.74/1.09 clause( 286, [ =( ld( 'op_c', X ), mult( X, i( 'op_c' ) ) ) ] )
% 0.74/1.09 , clause( 178, [ =( mult( X, i( 'op_c' ) ), ld( 'op_c', X ) ) ] )
% 0.74/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 eqswap(
% 0.74/1.09 clause( 287, [ ~( =( ld( 'op_c', a ), mult( a, i( 'op_c' ) ) ) ) ] )
% 0.74/1.09 , clause( 52, [ ~( =( mult( a, i( 'op_c' ) ), ld( 'op_c', a ) ) ) ] )
% 0.74/1.09 , 0, substitution( 0, [] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 resolution(
% 0.74/1.09 clause( 288, [] )
% 0.74/1.09 , clause( 287, [ ~( =( ld( 'op_c', a ), mult( a, i( 'op_c' ) ) ) ) ] )
% 0.74/1.09 , 0, clause( 286, [ =( ld( 'op_c', X ), mult( X, i( 'op_c' ) ) ) ] )
% 0.74/1.09 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 subsumption(
% 0.74/1.09 clause( 183, [] )
% 0.74/1.09 , clause( 288, [] )
% 0.74/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 end.
% 0.74/1.09
% 0.74/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.09
% 0.74/1.09 Memory use:
% 0.74/1.09
% 0.74/1.09 space for terms: 2331
% 0.74/1.09 space for clauses: 22121
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 clauses generated: 1301
% 0.74/1.09 clauses kept: 184
% 0.74/1.09 clauses selected: 63
% 0.74/1.09 clauses deleted: 19
% 0.74/1.09 clauses inuse deleted: 0
% 0.74/1.09
% 0.74/1.09 subsentry: 414
% 0.74/1.09 literals s-matched: 185
% 0.74/1.09 literals matched: 185
% 0.74/1.09 full subsumption: 0
% 0.74/1.09
% 0.74/1.09 checksum: -912141139
% 0.74/1.09
% 0.74/1.09
% 0.74/1.09 Bliksem ended
%------------------------------------------------------------------------------