TSTP Solution File: GRP029-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP029-1 : TPTP v8.1.0. Released v1.0.0.
% 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 07:34:26 EDT 2022
% Result : Unsatisfiable 0.74s 1.30s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP029-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n021.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 13:02:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.74/1.30 *** allocated 10000 integers for termspace/termends
% 0.74/1.30 *** allocated 10000 integers for clauses
% 0.74/1.30 *** allocated 10000 integers for justifications
% 0.74/1.30 Bliksem 1.12
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 Automatic Strategy Selection
% 0.74/1.30
% 0.74/1.30 Clauses:
% 0.74/1.30 [
% 0.74/1.30 [ product( X, Y, multiply( X, Y ) ) ],
% 0.74/1.30 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 0.74/1.30 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.74/1.30 ) ), product( X, U, W ) ],
% 0.74/1.30 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.74/1.30 ) ), product( Z, T, W ) ],
% 0.74/1.30 [ product( identity, X, X ) ],
% 0.74/1.30 [ product( inverse( X ), X, identity ) ],
% 0.74/1.30 [ ~( product( 'not_right_identity'( X ), X, 'not_right_identity'( X ) )
% 0.74/1.30 ) ]
% 0.74/1.30 ] .
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 percentage equality = 0.066667, percentage horn = 1.000000
% 0.74/1.30 This is a problem with some equality
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 Options Used:
% 0.74/1.30
% 0.74/1.30 useres = 1
% 0.74/1.30 useparamod = 1
% 0.74/1.30 useeqrefl = 1
% 0.74/1.30 useeqfact = 1
% 0.74/1.30 usefactor = 1
% 0.74/1.30 usesimpsplitting = 0
% 0.74/1.30 usesimpdemod = 5
% 0.74/1.30 usesimpres = 3
% 0.74/1.30
% 0.74/1.30 resimpinuse = 1000
% 0.74/1.30 resimpclauses = 20000
% 0.74/1.30 substype = eqrewr
% 0.74/1.30 backwardsubs = 1
% 0.74/1.30 selectoldest = 5
% 0.74/1.30
% 0.74/1.30 litorderings [0] = split
% 0.74/1.30 litorderings [1] = extend the termordering, first sorting on arguments
% 0.74/1.30
% 0.74/1.30 termordering = kbo
% 0.74/1.30
% 0.74/1.30 litapriori = 0
% 0.74/1.30 termapriori = 1
% 0.74/1.30 litaposteriori = 0
% 0.74/1.30 termaposteriori = 0
% 0.74/1.30 demodaposteriori = 0
% 0.74/1.30 ordereqreflfact = 0
% 0.74/1.30
% 0.74/1.30 litselect = negord
% 0.74/1.30
% 0.74/1.30 maxweight = 15
% 0.74/1.30 maxdepth = 30000
% 0.74/1.30 maxlength = 115
% 0.74/1.30 maxnrvars = 195
% 0.74/1.30 excuselevel = 1
% 0.74/1.30 increasemaxweight = 1
% 0.74/1.30
% 0.74/1.30 maxselected = 10000000
% 0.74/1.30 maxnrclauses = 10000000
% 0.74/1.30
% 0.74/1.30 showgenerated = 0
% 0.74/1.30 showkept = 0
% 0.74/1.30 showselected = 0
% 0.74/1.30 showdeleted = 0
% 0.74/1.30 showresimp = 1
% 0.74/1.30 showstatus = 2000
% 0.74/1.30
% 0.74/1.30 prologoutput = 1
% 0.74/1.30 nrgoals = 5000000
% 0.74/1.30 totalproof = 1
% 0.74/1.30
% 0.74/1.30 Symbols occurring in the translation:
% 0.74/1.30
% 0.74/1.30 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.30 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.74/1.30 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.74/1.30 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.30 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.30 multiply [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.74/1.30 product [42, 3] (w:1, o:50, a:1, s:1, b:0),
% 0.74/1.30 identity [47, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.74/1.30 inverse [49, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.74/1.30 'not_right_identity' [50, 1] (w:1, o:23, a:1, s:1, b:0).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 Starting Search:
% 0.74/1.30
% 0.74/1.30 Resimplifying inuse:
% 0.74/1.30 Done
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 Intermediate Status:
% 0.74/1.30 Generated: 11090
% 0.74/1.30 Kept: 2023
% 0.74/1.30 Inuse: 104
% 0.74/1.30 Deleted: 11
% 0.74/1.30 Deletedinuse: 7
% 0.74/1.30
% 0.74/1.30 Resimplifying inuse:
% 0.74/1.30 Done
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 Bliksems!, er is een bewijs:
% 0.74/1.30 % SZS status Unsatisfiable
% 0.74/1.30 % SZS output start Refutation
% 0.74/1.30
% 0.74/1.30 clause( 0, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.74/1.30 .
% 0.74/1.30 clause( 1, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.74/1.30 )
% 0.74/1.30 .
% 0.74/1.30 clause( 2, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 0.74/1.30 Z, T, W ) ), product( X, U, W ) ] )
% 0.74/1.30 .
% 0.74/1.30 clause( 3, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 0.74/1.30 X, U, W ) ), product( Z, T, W ) ] )
% 0.74/1.30 .
% 0.74/1.30 clause( 4, [ product( identity, X, X ) ] )
% 0.74/1.30 .
% 0.74/1.30 clause( 5, [ product( inverse( X ), X, identity ) ] )
% 0.74/1.30 .
% 0.74/1.30 clause( 6, [ ~( product( 'not_right_identity'( X ), X, 'not_right_identity'(
% 0.74/1.30 X ) ) ) ] )
% 0.74/1.30 .
% 0.74/1.30 clause( 15, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 0.74/1.30 .
% 0.74/1.30 clause( 29, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), product( X
% 0.74/1.30 , U, multiply( Z, T ) ) ] )
% 0.74/1.30 .
% 0.74/1.30 clause( 49, [ =( multiply( identity, X ), X ) ] )
% 0.74/1.30 .
% 0.74/1.30 clause( 92, [ ~( product( X, identity, Y ) ), ~( product( X, Z, T ) ),
% 0.74/1.30 product( Y, Z, T ) ] )
% 0.74/1.30 .
% 0.74/1.30 clause( 95, [ ~( product( X, identity, Y ) ), product( Y, identity, Y ) ]
% 0.74/1.30 )
% 0.74/1.30 .
% 0.74/1.30 clause( 104, [ ~( product( X, identity, 'not_right_identity'( identity ) )
% 0.74/1.30 ) ] )
% 0.74/1.30 .
% 0.74/1.30 clause( 2433, [ ~( product( X, Y, Z ) ), product( inverse( X ), Z, Y ) ] )
% 0.74/1.30 .
% 0.74/1.30 clause( 2536, [ ~( product( X, 'not_right_identity'( identity ), identity )
% 0.74/1.30 ) ] )
% 0.74/1.30 .
% 0.74/1.30 clause( 2561, [] )
% 0.74/1.30 .
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 % SZS output end Refutation
% 0.74/1.30 found a proof!
% 0.74/1.30
% 0.74/1.30 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.30
% 0.74/1.30 initialclauses(
% 0.74/1.30 [ clause( 2563, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.74/1.30 , clause( 2564, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.74/1.30 ) ] )
% 0.74/1.30 , clause( 2565, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.74/1.30 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.74/1.30 , clause( 2566, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.74/1.30 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.74/1.30 , clause( 2567, [ product( identity, X, X ) ] )
% 0.74/1.30 , clause( 2568, [ product( inverse( X ), X, identity ) ] )
% 0.74/1.30 , clause( 2569, [ ~( product( 'not_right_identity'( X ), X,
% 0.74/1.30 'not_right_identity'( X ) ) ) ] )
% 0.74/1.30 ] ).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 subsumption(
% 0.74/1.30 clause( 0, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.74/1.30 , clause( 2563, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.74/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.30 )] ) ).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 subsumption(
% 0.74/1.30 clause( 1, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.74/1.30 )
% 0.74/1.30 , clause( 2564, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.74/1.30 ) ] )
% 0.74/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.30 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 subsumption(
% 0.74/1.30 clause( 2, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 0.74/1.30 Z, T, W ) ), product( X, U, W ) ] )
% 0.74/1.30 , clause( 2565, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.74/1.30 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.74/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.74/1.30 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.74/1.30 , 2 ), ==>( 3, 3 )] ) ).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 subsumption(
% 0.74/1.30 clause( 3, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 0.74/1.30 X, U, W ) ), product( Z, T, W ) ] )
% 0.74/1.30 , clause( 2566, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.74/1.30 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.74/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.74/1.30 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.74/1.30 , 2 ), ==>( 3, 3 )] ) ).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 subsumption(
% 0.74/1.30 clause( 4, [ product( identity, X, X ) ] )
% 0.74/1.30 , clause( 2567, [ product( identity, X, X ) ] )
% 0.74/1.30 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 subsumption(
% 0.74/1.30 clause( 5, [ product( inverse( X ), X, identity ) ] )
% 0.74/1.30 , clause( 2568, [ product( inverse( X ), X, identity ) ] )
% 0.74/1.30 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 subsumption(
% 0.74/1.30 clause( 6, [ ~( product( 'not_right_identity'( X ), X, 'not_right_identity'(
% 0.74/1.30 X ) ) ) ] )
% 0.74/1.30 , clause( 2569, [ ~( product( 'not_right_identity'( X ), X,
% 0.74/1.30 'not_right_identity'( X ) ) ) ] )
% 0.74/1.30 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 resolution(
% 0.74/1.30 clause( 2612, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 0.74/1.30 , clause( 1, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 0.74/1.30 ] )
% 0.74/1.30 , 0, clause( 4, [ product( identity, X, X ) ] )
% 0.74/1.30 , 0, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, X ), :=( T, Y
% 0.74/1.30 )] ), substitution( 1, [ :=( X, X )] )).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 subsumption(
% 0.74/1.30 clause( 15, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 0.74/1.30 , clause( 2612, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 0.74/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.30 ), ==>( 1, 1 )] ) ).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 resolution(
% 0.74/1.30 clause( 2616, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), product(
% 0.74/1.30 X, U, multiply( Z, T ) ) ] )
% 0.74/1.30 , clause( 2, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 0.74/1.30 Z, T, W ) ), product( X, U, W ) ] )
% 0.74/1.30 , 2, clause( 0, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.74/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.74/1.30 :=( U, U ), :=( W, multiply( Z, T ) )] ), substitution( 1, [ :=( X, Z ),
% 0.74/1.30 :=( Y, T )] )).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 subsumption(
% 0.74/1.30 clause( 29, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), product( X
% 0.74/1.30 , U, multiply( Z, T ) ) ] )
% 0.74/1.30 , clause( 2616, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), product(
% 0.74/1.30 X, U, multiply( Z, T ) ) ] )
% 0.74/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.74/1.30 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 0.74/1.30 ).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 eqswap(
% 0.74/1.30 clause( 2619, [ =( Y, X ), ~( product( identity, X, Y ) ) ] )
% 0.74/1.30 , clause( 15, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 0.74/1.30 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 resolution(
% 0.74/1.30 clause( 2620, [ =( multiply( identity, X ), X ) ] )
% 0.74/1.30 , clause( 2619, [ =( Y, X ), ~( product( identity, X, Y ) ) ] )
% 0.74/1.30 , 1, clause( 0, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.74/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, multiply( identity, X ) )] ),
% 0.74/1.30 substitution( 1, [ :=( X, identity ), :=( Y, X )] )).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 subsumption(
% 0.74/1.30 clause( 49, [ =( multiply( identity, X ), X ) ] )
% 0.74/1.30 , clause( 2620, [ =( multiply( identity, X ), X ) ] )
% 0.74/1.30 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 resolution(
% 0.74/1.30 clause( 2623, [ ~( product( X, identity, Y ) ), ~( product( X, Z, T ) ),
% 0.74/1.30 product( Y, Z, T ) ] )
% 0.74/1.30 , clause( 3, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 0.74/1.30 X, U, W ) ), product( Z, T, W ) ] )
% 0.74/1.30 , 1, clause( 4, [ product( identity, X, X ) ] )
% 0.74/1.30 , 0, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, Y ), :=( T, Z
% 0.74/1.30 ), :=( U, Z ), :=( W, T )] ), substitution( 1, [ :=( X, Z )] )).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 subsumption(
% 0.74/1.30 clause( 92, [ ~( product( X, identity, Y ) ), ~( product( X, Z, T ) ),
% 0.74/1.30 product( Y, Z, T ) ] )
% 0.74/1.30 , clause( 2623, [ ~( product( X, identity, Y ) ), ~( product( X, Z, T ) ),
% 0.74/1.30 product( Y, Z, T ) ] )
% 0.74/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.74/1.30 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 factor(
% 0.74/1.30 clause( 2627, [ ~( product( X, identity, Y ) ), product( Y, identity, Y ) ]
% 0.74/1.30 )
% 0.74/1.30 , clause( 92, [ ~( product( X, identity, Y ) ), ~( product( X, Z, T ) ),
% 0.74/1.30 product( Y, Z, T ) ] )
% 0.74/1.30 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, identity ), :=( T
% 0.74/1.30 , Y )] )).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 subsumption(
% 0.74/1.30 clause( 95, [ ~( product( X, identity, Y ) ), product( Y, identity, Y ) ]
% 0.74/1.30 )
% 0.74/1.30 , clause( 2627, [ ~( product( X, identity, Y ) ), product( Y, identity, Y )
% 0.74/1.30 ] )
% 0.74/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.30 ), ==>( 1, 1 )] ) ).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 resolution(
% 0.74/1.30 clause( 2628, [ ~( product( X, identity, 'not_right_identity'( identity ) )
% 0.74/1.30 ) ] )
% 0.74/1.30 , clause( 6, [ ~( product( 'not_right_identity'( X ), X,
% 0.74/1.30 'not_right_identity'( X ) ) ) ] )
% 0.74/1.30 , 0, clause( 95, [ ~( product( X, identity, Y ) ), product( Y, identity, Y
% 0.74/1.30 ) ] )
% 0.74/1.30 , 1, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X, X )
% 0.74/1.30 , :=( Y, 'not_right_identity'( identity ) )] )).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 subsumption(
% 0.74/1.30 clause( 104, [ ~( product( X, identity, 'not_right_identity'( identity ) )
% 0.74/1.30 ) ] )
% 0.74/1.30 , clause( 2628, [ ~( product( X, identity, 'not_right_identity'( identity )
% 0.74/1.30 ) ) ] )
% 0.74/1.30 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 resolution(
% 0.74/1.30 clause( 2630, [ ~( product( X, Y, Z ) ), product( inverse( X ), Z, multiply(
% 0.74/1.30 identity, Y ) ) ] )
% 0.74/1.30 , clause( 29, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), product(
% 0.74/1.30 X, U, multiply( Z, T ) ) ] )
% 0.74/1.30 , 0, clause( 5, [ product( inverse( X ), X, identity ) ] )
% 0.74/1.30 , 0, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, X ), :=( Z, identity
% 0.74/1.30 ), :=( T, Y ), :=( U, Z )] ), substitution( 1, [ :=( X, X )] )).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 paramod(
% 0.74/1.30 clause( 2632, [ product( inverse( X ), Y, Z ), ~( product( X, Z, Y ) ) ] )
% 0.74/1.30 , clause( 49, [ =( multiply( identity, X ), X ) ] )
% 0.74/1.30 , 0, clause( 2630, [ ~( product( X, Y, Z ) ), product( inverse( X ), Z,
% 0.74/1.30 multiply( identity, Y ) ) ] )
% 0.74/1.30 , 1, 4, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ),
% 0.74/1.30 :=( Y, Z ), :=( Z, Y )] )).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 subsumption(
% 0.74/1.30 clause( 2433, [ ~( product( X, Y, Z ) ), product( inverse( X ), Z, Y ) ] )
% 0.74/1.30 , clause( 2632, [ product( inverse( X ), Y, Z ), ~( product( X, Z, Y ) ) ]
% 0.74/1.30 )
% 0.74/1.30 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 0.74/1.30 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 resolution(
% 0.74/1.30 clause( 2633, [ ~( product( X, 'not_right_identity'( identity ), identity )
% 0.74/1.30 ) ] )
% 0.74/1.30 , clause( 104, [ ~( product( X, identity, 'not_right_identity'( identity )
% 0.74/1.30 ) ) ] )
% 0.74/1.30 , 0, clause( 2433, [ ~( product( X, Y, Z ) ), product( inverse( X ), Z, Y )
% 0.74/1.30 ] )
% 0.74/1.30 , 1, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [ :=( X
% 0.74/1.30 , X ), :=( Y, 'not_right_identity'( identity ) ), :=( Z, identity )] )
% 0.74/1.30 ).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 subsumption(
% 0.74/1.30 clause( 2536, [ ~( product( X, 'not_right_identity'( identity ), identity )
% 0.74/1.30 ) ] )
% 0.74/1.30 , clause( 2633, [ ~( product( X, 'not_right_identity'( identity ), identity
% 0.74/1.30 ) ) ] )
% 0.74/1.30 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 resolution(
% 0.74/1.30 clause( 2634, [] )
% 0.74/1.30 , clause( 2536, [ ~( product( X, 'not_right_identity'( identity ), identity
% 0.74/1.30 ) ) ] )
% 0.74/1.30 , 0, clause( 5, [ product( inverse( X ), X, identity ) ] )
% 0.74/1.30 , 0, substitution( 0, [ :=( X, inverse( 'not_right_identity'( identity ) )
% 0.74/1.30 )] ), substitution( 1, [ :=( X, 'not_right_identity'( identity ) )] )
% 0.74/1.30 ).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 subsumption(
% 0.74/1.30 clause( 2561, [] )
% 0.74/1.30 , clause( 2634, [] )
% 0.74/1.30 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 end.
% 0.74/1.30
% 0.74/1.30 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.30
% 0.74/1.30 Memory use:
% 0.74/1.30
% 0.74/1.30 space for terms: 37206
% 0.74/1.30 space for clauses: 106303
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 clauses generated: 12787
% 0.74/1.30 clauses kept: 2562
% 0.74/1.30 clauses selected: 114
% 0.74/1.30 clauses deleted: 11
% 0.74/1.30 clauses inuse deleted: 7
% 0.74/1.30
% 0.74/1.30 subsentry: 172943
% 0.74/1.30 literals s-matched: 56425
% 0.74/1.30 literals matched: 25330
% 0.74/1.30 full subsumption: 12606
% 0.74/1.30
% 0.74/1.30 checksum: -1653602153
% 0.74/1.30
% 0.74/1.30
% 0.74/1.30 Bliksem ended
%------------------------------------------------------------------------------