TSTP Solution File: GRP046-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP046-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 07:34:34 EDT 2022
% Result : Unsatisfiable 0.76s 1.24s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP046-2 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n028.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 : Tue Jun 14 11:57:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.76/1.24 *** allocated 10000 integers for termspace/termends
% 0.76/1.24 *** allocated 10000 integers for clauses
% 0.76/1.24 *** allocated 10000 integers for justifications
% 0.76/1.24 Bliksem 1.12
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 Automatic Strategy Selection
% 0.76/1.24
% 0.76/1.24 Clauses:
% 0.76/1.24 [
% 0.76/1.24 [ product( identity, X, X ) ],
% 0.76/1.24 [ product( inverse( X ), X, identity ) ],
% 0.76/1.24 [ product( X, Y, multiply( X, Y ) ) ],
% 0.76/1.24 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 0.76/1.24 ,
% 0.76/1.24 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.76/1.24 ) ), product( X, U, W ) ],
% 0.76/1.24 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.76/1.24 ) ), product( Z, T, W ) ],
% 0.76/1.24 [ ~( equalish( X, Y ) ), ~( product( Z, T, X ) ), product( Z, T, Y ) ]
% 0.76/1.24 ,
% 0.76/1.24 [ equalish( a, b ) ],
% 0.76/1.24 [ ~( equalish( multiply( a, c ), multiply( b, c ) ) ) ]
% 0.76/1.24 ] .
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 percentage equality = 0.000000, percentage horn = 1.000000
% 0.76/1.24 This is a near-Horn, non-equality problem
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 Options Used:
% 0.76/1.24
% 0.76/1.24 useres = 1
% 0.76/1.24 useparamod = 0
% 0.76/1.24 useeqrefl = 0
% 0.76/1.24 useeqfact = 0
% 0.76/1.24 usefactor = 1
% 0.76/1.24 usesimpsplitting = 0
% 0.76/1.24 usesimpdemod = 0
% 0.76/1.24 usesimpres = 4
% 0.76/1.24
% 0.76/1.24 resimpinuse = 1000
% 0.76/1.24 resimpclauses = 20000
% 0.76/1.24 substype = standard
% 0.76/1.24 backwardsubs = 1
% 0.76/1.24 selectoldest = 5
% 0.76/1.24
% 0.76/1.24 litorderings [0] = split
% 0.76/1.24 litorderings [1] = liftord
% 0.76/1.24
% 0.76/1.24 termordering = none
% 0.76/1.24
% 0.76/1.24 litapriori = 1
% 0.76/1.24 termapriori = 0
% 0.76/1.24 litaposteriori = 0
% 0.76/1.24 termaposteriori = 0
% 0.76/1.24 demodaposteriori = 0
% 0.76/1.24 ordereqreflfact = 0
% 0.76/1.24
% 0.76/1.24 litselect = negative
% 0.76/1.24
% 0.76/1.24 maxweight = 30000
% 0.76/1.24 maxdepth = 30000
% 0.76/1.24 maxlength = 115
% 0.76/1.24 maxnrvars = 195
% 0.76/1.24 excuselevel = 0
% 0.76/1.24 increasemaxweight = 0
% 0.76/1.24
% 0.76/1.24 maxselected = 10000000
% 0.76/1.24 maxnrclauses = 10000000
% 0.76/1.24
% 0.76/1.24 showgenerated = 0
% 0.76/1.24 showkept = 0
% 0.76/1.24 showselected = 0
% 0.76/1.24 showdeleted = 0
% 0.76/1.24 showresimp = 1
% 0.76/1.24 showstatus = 2000
% 0.76/1.24
% 0.76/1.24 prologoutput = 1
% 0.76/1.24 nrgoals = 5000000
% 0.76/1.24 totalproof = 1
% 0.76/1.24
% 0.76/1.24 Symbols occurring in the translation:
% 0.76/1.24
% 0.76/1.24 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.76/1.24 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 0.76/1.24 ! [4, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.76/1.24 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.24 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.24 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.76/1.24 product [41, 3] (w:1, o:52, a:1, s:1, b:0),
% 0.76/1.24 inverse [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.76/1.24 multiply [44, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.76/1.24 equalish [47, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.76/1.24 a [50, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.76/1.24 b [51, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.76/1.24 c [52, 0] (w:1, o:18, a:1, s:1, b:0).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 Starting Search:
% 0.76/1.24
% 0.76/1.24 Resimplifying inuse:
% 0.76/1.24 Done
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 Intermediate Status:
% 0.76/1.24 Generated: 2999
% 0.76/1.24 Kept: 2013
% 0.76/1.24 Inuse: 278
% 0.76/1.24 Deleted: 13
% 0.76/1.24 Deletedinuse: 5
% 0.76/1.24
% 0.76/1.24 Resimplifying inuse:
% 0.76/1.24 Done
% 0.76/1.24
% 0.76/1.24 Resimplifying inuse:
% 0.76/1.24 Done
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 Intermediate Status:
% 0.76/1.24 Generated: 5998
% 0.76/1.24 Kept: 4022
% 0.76/1.24 Inuse: 440
% 0.76/1.24 Deleted: 57
% 0.76/1.24 Deletedinuse: 34
% 0.76/1.24
% 0.76/1.24 Resimplifying inuse:
% 0.76/1.24 Done
% 0.76/1.24
% 0.76/1.24 Resimplifying inuse:
% 0.76/1.24 Done
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 Intermediate Status:
% 0.76/1.24 Generated: 9009
% 0.76/1.24 Kept: 6025
% 0.76/1.24 Inuse: 566
% 0.76/1.24 Deleted: 91
% 0.76/1.24 Deletedinuse: 55
% 0.76/1.24
% 0.76/1.24 Resimplifying inuse:
% 0.76/1.24
% 0.76/1.24 Bliksems!, er is een bewijs:
% 0.76/1.24 % SZS status Unsatisfiable
% 0.76/1.24 % SZS output start Refutation
% 0.76/1.24
% 0.76/1.24 clause( 0, [ product( identity, X, X ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 3, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y, T
% 0.76/1.24 ) ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 4, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X,
% 0.76/1.24 U, W ), ~( product( Z, T, W ) ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 6, [ ~( equalish( X, Y ) ), product( Z, T, Y ), ~( product( Z, T, X
% 0.76/1.24 ) ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 7, [ equalish( a, b ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 8, [ ~( equalish( multiply( a, c ), multiply( b, c ) ) ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 19, [ equalish( X, multiply( Y, Z ) ), ~( product( Y, Z, X ) ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 21, [ equalish( X, Y ), ~( product( identity, Y, X ) ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 23, [ ~( product( X, Y, Z ) ), product( T, Z, multiply( U, Y ) ),
% 0.76/1.24 ~( product( T, X, U ) ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 43, [ product( X, Y, Z ), ~( equalish( multiply( X, Y ), Z ) ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 45, [ product( identity, X, Y ), ~( equalish( X, Y ) ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 49, [ product( identity, a, b ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 160, [ product( identity, Y, multiply( b, X ) ), ~( product( a, X,
% 0.76/1.24 Y ) ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 4510, [ product( identity, multiply( a, X ), multiply( b, X ) ) ]
% 0.76/1.24 )
% 0.76/1.24 .
% 0.76/1.24 clause( 6062, [ equalish( multiply( b, X ), multiply( a, X ) ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 6065, [ product( b, X, multiply( a, X ) ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 6083, [ equalish( multiply( a, X ), multiply( b, X ) ) ] )
% 0.76/1.24 .
% 0.76/1.24 clause( 6087, [] )
% 0.76/1.24 .
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 % SZS output end Refutation
% 0.76/1.24 found a proof!
% 0.76/1.24
% 0.76/1.24 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.24
% 0.76/1.24 initialclauses(
% 0.76/1.24 [ clause( 6089, [ product( identity, X, X ) ] )
% 0.76/1.24 , clause( 6090, [ product( inverse( X ), X, identity ) ] )
% 0.76/1.24 , clause( 6091, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.76/1.24 , clause( 6092, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ),
% 0.76/1.24 equalish( Z, T ) ] )
% 0.76/1.24 , clause( 6093, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.76/1.24 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.76/1.24 , clause( 6094, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.76/1.24 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.76/1.24 , clause( 6095, [ ~( equalish( X, Y ) ), ~( product( Z, T, X ) ), product(
% 0.76/1.24 Z, T, Y ) ] )
% 0.76/1.24 , clause( 6096, [ equalish( a, b ) ] )
% 0.76/1.24 , clause( 6097, [ ~( equalish( multiply( a, c ), multiply( b, c ) ) ) ] )
% 0.76/1.24 ] ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 subsumption(
% 0.76/1.24 clause( 0, [ product( identity, X, X ) ] )
% 0.76/1.24 , clause( 6089, [ product( identity, X, X ) ] )
% 0.76/1.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 subsumption(
% 0.76/1.24 clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.76/1.24 , clause( 6091, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.76/1.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.24 )] ) ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 subsumption(
% 0.76/1.24 clause( 3, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y, T
% 0.76/1.24 ) ) ] )
% 0.76/1.24 , clause( 6092, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ),
% 0.76/1.24 equalish( Z, T ) ] )
% 0.76/1.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.76/1.24 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 subsumption(
% 0.76/1.24 clause( 4, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X,
% 0.76/1.24 U, W ), ~( product( Z, T, W ) ) ] )
% 0.76/1.24 , clause( 6093, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.76/1.24 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.76/1.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.76/1.24 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.76/1.24 , 3 ), ==>( 3, 2 )] ) ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 subsumption(
% 0.76/1.24 clause( 6, [ ~( equalish( X, Y ) ), product( Z, T, Y ), ~( product( Z, T, X
% 0.76/1.24 ) ) ] )
% 0.76/1.24 , clause( 6095, [ ~( equalish( X, Y ) ), ~( product( Z, T, X ) ), product(
% 0.76/1.24 Z, T, Y ) ] )
% 0.76/1.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.76/1.24 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 subsumption(
% 0.76/1.24 clause( 7, [ equalish( a, b ) ] )
% 0.76/1.24 , clause( 6096, [ equalish( a, b ) ] )
% 0.76/1.24 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 subsumption(
% 0.76/1.24 clause( 8, [ ~( equalish( multiply( a, c ), multiply( b, c ) ) ) ] )
% 0.76/1.24 , clause( 6097, [ ~( equalish( multiply( a, c ), multiply( b, c ) ) ) ] )
% 0.76/1.24 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 resolution(
% 0.76/1.24 clause( 6132, [ equalish( X, multiply( Y, Z ) ), ~( product( Y, Z, X ) ) ]
% 0.76/1.24 )
% 0.76/1.24 , clause( 3, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 0.76/1.24 , T ) ) ] )
% 0.76/1.24 , 2, clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.76/1.24 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, multiply(
% 0.76/1.24 Y, Z ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 subsumption(
% 0.76/1.24 clause( 19, [ equalish( X, multiply( Y, Z ) ), ~( product( Y, Z, X ) ) ] )
% 0.76/1.24 , clause( 6132, [ equalish( X, multiply( Y, Z ) ), ~( product( Y, Z, X ) )
% 0.76/1.24 ] )
% 0.76/1.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.24 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 resolution(
% 0.76/1.24 clause( 6134, [ equalish( X, Y ), ~( product( identity, Y, X ) ) ] )
% 0.76/1.24 , clause( 3, [ equalish( Z, T ), ~( product( X, Y, Z ) ), ~( product( X, Y
% 0.76/1.24 , T ) ) ] )
% 0.76/1.24 , 2, clause( 0, [ product( identity, X, X ) ] )
% 0.76/1.24 , 0, substitution( 0, [ :=( X, identity ), :=( Y, Y ), :=( Z, X ), :=( T, Y
% 0.76/1.24 )] ), substitution( 1, [ :=( X, Y )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 subsumption(
% 0.76/1.24 clause( 21, [ equalish( X, Y ), ~( product( identity, Y, X ) ) ] )
% 0.76/1.24 , clause( 6134, [ equalish( X, Y ), ~( product( identity, Y, X ) ) ] )
% 0.76/1.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.24 ), ==>( 1, 1 )] ) ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 resolution(
% 0.76/1.24 clause( 6137, [ ~( product( X, Y, Z ) ), ~( product( T, X, U ) ), product(
% 0.76/1.24 T, Z, multiply( U, Y ) ) ] )
% 0.76/1.24 , clause( 4, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X
% 0.76/1.24 , U, W ), ~( product( Z, T, W ) ) ] )
% 0.76/1.24 , 3, clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.76/1.24 , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, U ), :=( T, Y ),
% 0.76/1.24 :=( U, Z ), :=( W, multiply( U, Y ) )] ), substitution( 1, [ :=( X, U ),
% 0.76/1.24 :=( Y, Y )] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 subsumption(
% 0.76/1.24 clause( 23, [ ~( product( X, Y, Z ) ), product( T, Z, multiply( U, Y ) ),
% 0.76/1.24 ~( product( T, X, U ) ) ] )
% 0.76/1.24 , clause( 6137, [ ~( product( X, Y, Z ) ), ~( product( T, X, U ) ), product(
% 0.76/1.24 T, Z, multiply( U, Y ) ) ] )
% 0.76/1.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.76/1.24 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] )
% 0.76/1.24 ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 resolution(
% 0.76/1.24 clause( 6140, [ ~( equalish( multiply( X, Y ), Z ) ), product( X, Y, Z ) ]
% 0.76/1.25 )
% 0.76/1.25 , clause( 6, [ ~( equalish( X, Y ) ), product( Z, T, Y ), ~( product( Z, T
% 0.76/1.25 , X ) ) ] )
% 0.76/1.25 , 2, clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.76/1.25 , 0, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, Z ), :=( Z, X ),
% 0.76/1.25 :=( T, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.25
% 0.76/1.25
% 0.76/1.25 subsumption(
% 0.76/1.25 clause( 43, [ product( X, Y, Z ), ~( equalish( multiply( X, Y ), Z ) ) ] )
% 0.76/1.25 , clause( 6140, [ ~( equalish( multiply( X, Y ), Z ) ), product( X, Y, Z )
% 0.76/1.25 ] )
% 0.76/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.25 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.76/1.25
% 0.76/1.25
% 0.76/1.25 resolution(
% 0.76/1.25 clause( 6141, [ ~( equalish( X, Y ) ), product( identity, X, Y ) ] )
% 0.76/1.25 , clause( 6, [ ~( equalish( X, Y ) ), product( Z, T, Y ), ~( product( Z, T
% 0.76/1.25 , X ) ) ] )
% 0.76/1.25 , 2, clause( 0, [ product( identity, X, X ) ] )
% 0.76/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, identity ), :=( T, X
% 0.76/1.25 )] ), substitution( 1, [ :=( X, X )] )).
% 0.76/1.25
% 0.76/1.25
% 0.76/1.25 subsumption(
% 0.76/1.25 clause( 45, [ product( identity, X, Y ), ~( equalish( X, Y ) ) ] )
% 0.76/1.25 , clause( 6141, [ ~( equalish( X, Y ) ), product( identity, X, Y ) ] )
% 0.76/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.76/1.25 ), ==>( 1, 0 )] ) ).
% 0.76/1.25
% 0.76/1.25
% 0.76/1.25 resolution(
% 0.76/1.25 clause( 6142, [ product( identity, a, b ) ] )
% 0.76/1.25 , clause( 45, [ product( identity, X, Y ), ~( equalish( X, Y ) ) ] )
% 0.76/1.25 , 1, clause( 7, [ equalish( a, b ) ] )
% 0.76/1.25 , 0, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.76/1.25 ).
% 0.76/1.25
% 0.76/1.25
% 0.76/1.25 subsumption(
% 0.76/1.25 clause( 49, [ product( identity, a, b ) ] )
% 0.76/1.25 , clause( 6142, [ product( identity, a, b ) ] )
% 0.76/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.25
% 0.76/1.25
% 0.76/1.25 resolution(
% 0.76/1.25 clause( 6144, [ ~( product( a, X, Y ) ), product( identity, Y, multiply( b
% 0.76/1.25 , X ) ) ] )
% 0.76/1.25 , clause( 23, [ ~( product( X, Y, Z ) ), product( T, Z, multiply( U, Y ) )
% 0.76/1.25 , ~( product( T, X, U ) ) ] )
% 0.76/1.25 , 2, clause( 49, [ product( identity, a, b ) ] )
% 0.76/1.25 , 0, substitution( 0, [ :=( X, a ), :=( Y, X ), :=( Z, Y ), :=( T, identity
% 0.76/1.25 ), :=( U, b )] ), substitution( 1, [] )).
% 0.76/1.25
% 0.76/1.25
% 0.76/1.25 subsumption(
% 0.76/1.25 clause( 160, [ product( identity, Y, multiply( b, X ) ), ~( product( a, X,
% 0.76/1.25 Y ) ) ] )
% 0.76/1.25 , clause( 6144, [ ~( product( a, X, Y ) ), product( identity, Y, multiply(
% 0.76/1.25 b, X ) ) ] )
% 0.76/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.76/1.25 ), ==>( 1, 0 )] ) ).
% 0.76/1.25
% 0.76/1.25
% 0.76/1.25 resolution(
% 0.76/1.25 clause( 6145, [ product( identity, multiply( a, X ), multiply( b, X ) ) ]
% 0.76/1.25 )
% 0.76/1.25 , clause( 160, [ product( identity, Y, multiply( b, X ) ), ~( product( a, X
% 0.76/1.25 , Y ) ) ] )
% 0.76/1.25 , 1, clause( 2, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.76/1.25 , 0, substitution( 0, [ :=( X, X ), :=( Y, multiply( a, X ) )] ),
% 0.76/1.25 substitution( 1, [ :=( X, a ), :=( Y, X )] )).
% 0.76/1.25
% 0.76/1.25
% 0.76/1.25 subsumption(
% 0.76/1.25 clause( 4510, [ product( identity, multiply( a, X ), multiply( b, X ) ) ]
% 0.76/1.25 )
% 0.76/1.25 , clause( 6145, [ product( identity, multiply( a, X ), multiply( b, X ) ) ]
% 0.76/1.25 )
% 0.76/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.25
% 0.76/1.25
% 0.76/1.25 resolution(
% 0.76/1.25 clause( 6146, [ equalish( multiply( b, X ), multiply( a, X ) ) ] )
% 0.76/1.25 , clause( 21, [ equalish( X, Y ), ~( product( identity, Y, X ) ) ] )
% 0.76/1.25 , 1, clause( 4510, [ product( identity, multiply( a, X ), multiply( b, X )
% 0.76/1.25 ) ] )
% 0.76/1.25 , 0, substitution( 0, [ :=( X, multiply( b, X ) ), :=( Y, multiply( a, X )
% 0.76/1.25 )] ), substitution( 1, [ :=( X, X )] )).
% 0.76/1.25
% 0.76/1.25
% 0.76/1.25 subsumption(
% 0.76/1.25 clause( 6062, [ equalish( multiply( b, X ), multiply( a, X ) ) ] )
% 0.76/1.25 , clause( 6146, [ equalish( multiply( b, X ), multiply( a, X ) ) ] )
% 0.76/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.25
% 0.76/1.25
% 0.76/1.25 resolution(
% 0.76/1.25 clause( 6147, [ product( b, X, multiply( a, X ) ) ] )
% 0.76/1.25 , clause( 43, [ product( X, Y, Z ), ~( equalish( multiply( X, Y ), Z ) ) ]
% 0.76/1.25 )
% 0.76/1.25 , 1, clause( 6062, [ equalish( multiply( b, X ), multiply( a, X ) ) ] )
% 0.76/1.25 , 0, substitution( 0, [ :=( X, b ), :=( Y, X ), :=( Z, multiply( a, X ) )] )
% 0.76/1.25 , substitution( 1, [ :=( X, X )] )).
% 0.76/1.25
% 0.76/1.25
% 0.76/1.25 subsumption(
% 0.76/1.25 clause( 6065, [ product( b, X, multiply( a, X ) ) ] )
% 0.76/1.25 , clause( 6147, [ product( b, X, multiply( a, X ) ) ] )
% 0.76/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.25
% 0.76/1.25
% 0.76/1.25 resolution(
% 0.76/1.25 clause( 6148, [ equalish( multiply( a, X ), multiply( b, X ) ) ] )
% 0.76/1.25 , clause( 19, [ equalish( X, multiply( Y, Z ) ), ~( product( Y, Z, X ) ) ]
% 0.76/1.25 )
% 0.76/1.25 , 1, clause( 6065, [ product( b, X, multiply( a, X ) ) ] )
% 0.76/1.25 , 0, substitution( 0, [ :=( X, multiply( a, X ) ), :=( Y, b ), :=( Z, X )] )
% 0.76/1.25 , substitution( 1, [ :=( X, X )] )).
% 0.76/1.25
% 0.76/1.25
% 0.76/1.25 subsumption(
% 0.76/1.25 clause( 6083, [ equalish( multiply( a, X ), multiply( b, X ) ) ] )
% 0.76/1.25 , clause( 6148, [ equalish( multiply( a, X ), multiply( b, X ) ) ] )
% 0.76/1.25 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.25
% 0.76/1.25
% 0.76/1.25 resolution(
% 0.76/1.25 clause( 6149, [] )
% 0.76/1.25 , clause( 8, [ ~( equalish( multiply( a, c ), multiply( b, c ) ) ) ] )
% 0.76/1.25 , 0, clause( 6083, [ equalish( multiply( a, X ), multiply( b, X ) ) ] )
% 0.76/1.25 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, c )] )).
% 0.76/1.25
% 0.76/1.25
% 0.76/1.25 subsumption(
% 0.76/1.25 clause( 6087, [] )
% 0.76/1.25 , clause( 6149, [] )
% 0.76/1.25 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.76/1.25
% 0.76/1.25
% 0.76/1.25 end.
% 0.76/1.25
% 0.76/1.25 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.25
% 0.76/1.25 Memory use:
% 0.76/1.25
% 0.76/1.25 space for terms: 77852
% 0.76/1.25 space for clauses: 326368
% 0.76/1.25
% 0.76/1.25
% 0.76/1.25 clauses generated: 9109
% 0.76/1.25 clauses kept: 6088
% 0.76/1.25 clauses selected: 571
% 0.76/1.25 clauses deleted: 104
% 0.76/1.25 clauses inuse deleted: 68
% 0.76/1.25
% 0.76/1.25 subsentry: 38438
% 0.76/1.25 literals s-matched: 15718
% 0.76/1.25 literals matched: 13636
% 0.76/1.25 full subsumption: 1599
% 0.76/1.25
% 0.76/1.25 checksum: -251502605
% 0.76/1.25
% 0.76/1.25
% 0.76/1.25 Bliksem ended
%------------------------------------------------------------------------------