TSTP Solution File: GRP013-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP013-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.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 07:34:18 EDT 2022
% Result : Unsatisfiable 0.43s 1.08s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP013-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : bliksem %s
% 0.11/0.33 % Computer : n014.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % DateTime : Mon Jun 13 11:19:07 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.43/1.08 *** allocated 10000 integers for termspace/termends
% 0.43/1.08 *** allocated 10000 integers for clauses
% 0.43/1.08 *** allocated 10000 integers for justifications
% 0.43/1.08 Bliksem 1.12
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Automatic Strategy Selection
% 0.43/1.08
% 0.43/1.08 Clauses:
% 0.43/1.08 [
% 0.43/1.08 [ product( identity, X, X ) ],
% 0.43/1.08 [ product( X, identity, X ) ],
% 0.43/1.08 [ product( inverse( X ), X, identity ) ],
% 0.43/1.08 [ product( X, inverse( X ), identity ) ],
% 0.43/1.08 [ product( X, Y, multiply( X, Y ) ) ],
% 0.43/1.08 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 0.43/1.08 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.43/1.08 ) ), product( X, U, W ) ],
% 0.43/1.08 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.43/1.08 ) ), product( Z, T, W ) ],
% 0.43/1.08 [ product( X, X, identity ) ],
% 0.43/1.08 [ product( a, b, c ) ],
% 0.43/1.08 [ product( inverse( a ), inverse( b ), d ) ],
% 0.43/1.08 [ ~( product( inverse( X ), inverse( Y ), Z ) ), product( X, Z, Y ) ]
% 0.43/1.08 ,
% 0.43/1.08 [ ~( product( c, d, identity ) ) ]
% 0.43/1.08 ] .
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 percentage equality = 0.045455, percentage horn = 1.000000
% 0.43/1.08 This is a problem with some equality
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Options Used:
% 0.43/1.08
% 0.43/1.08 useres = 1
% 0.43/1.08 useparamod = 1
% 0.43/1.08 useeqrefl = 1
% 0.43/1.08 useeqfact = 1
% 0.43/1.08 usefactor = 1
% 0.43/1.08 usesimpsplitting = 0
% 0.43/1.08 usesimpdemod = 5
% 0.43/1.08 usesimpres = 3
% 0.43/1.08
% 0.43/1.08 resimpinuse = 1000
% 0.43/1.08 resimpclauses = 20000
% 0.43/1.08 substype = eqrewr
% 0.43/1.08 backwardsubs = 1
% 0.43/1.08 selectoldest = 5
% 0.43/1.08
% 0.43/1.08 litorderings [0] = split
% 0.43/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.43/1.08
% 0.43/1.08 termordering = kbo
% 0.43/1.08
% 0.43/1.08 litapriori = 0
% 0.43/1.08 termapriori = 1
% 0.43/1.08 litaposteriori = 0
% 0.43/1.08 termaposteriori = 0
% 0.43/1.08 demodaposteriori = 0
% 0.43/1.08 ordereqreflfact = 0
% 0.43/1.08
% 0.43/1.08 litselect = negord
% 0.43/1.08
% 0.43/1.08 maxweight = 15
% 0.43/1.08 maxdepth = 30000
% 0.43/1.08 maxlength = 115
% 0.43/1.08 maxnrvars = 195
% 0.43/1.08 excuselevel = 1
% 0.43/1.08 increasemaxweight = 1
% 0.43/1.08
% 0.43/1.08 maxselected = 10000000
% 0.43/1.08 maxnrclauses = 10000000
% 0.43/1.08
% 0.43/1.08 showgenerated = 0
% 0.43/1.08 showkept = 0
% 0.43/1.08 showselected = 0
% 0.43/1.08 showdeleted = 0
% 0.43/1.08 showresimp = 1
% 0.43/1.08 showstatus = 2000
% 0.43/1.08
% 0.43/1.08 prologoutput = 1
% 0.43/1.08 nrgoals = 5000000
% 0.43/1.08 totalproof = 1
% 0.43/1.08
% 0.43/1.08 Symbols occurring in the translation:
% 0.43/1.08
% 0.43/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.08 . [1, 2] (w:1, o:29, a:1, s:1, b:0),
% 0.43/1.08 ! [4, 1] (w:0, o:23, a:1, s:1, b:0),
% 0.43/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.08 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.43/1.08 product [41, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.43/1.08 inverse [42, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.43/1.08 multiply [44, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.43/1.08 a [50, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.43/1.08 b [51, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.43/1.08 c [52, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.43/1.08 d [53, 0] (w:1, o:20, a:1, s:1, b:0).
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Starting Search:
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Bliksems!, er is een bewijs:
% 0.43/1.08 % SZS status Unsatisfiable
% 0.43/1.08 % SZS output start Refutation
% 0.43/1.08
% 0.43/1.08 clause( 0, [ product( identity, X, X ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 1, [ product( X, identity, X ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 2, [ product( inverse( X ), X, identity ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.43/1.08 )
% 0.43/1.08 .
% 0.43/1.08 clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 0.43/1.08 Z, T, W ) ), product( X, U, W ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 7, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 0.43/1.08 X, U, W ) ), product( Z, T, W ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 8, [ product( X, X, identity ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 9, [ product( a, b, c ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 10, [ product( inverse( a ), inverse( b ), d ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 11, [ ~( product( inverse( X ), inverse( Y ), Z ) ), product( X, Z
% 0.43/1.08 , Y ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 12, [ ~( product( c, d, identity ) ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 22, [ product( X, identity, inverse( X ) ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 23, [ product( inverse( X ), identity, X ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 24, [ ~( product( inverse( c ), inverse( identity ), d ) ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 31, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 87, [ ~( product( X, Y, Z ) ), ~( product( Z, identity, T ) ),
% 0.43/1.08 product( X, inverse( Y ), T ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 139, [ product( X, inverse( identity ), X ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 150, [ =( inverse( identity ), identity ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 213, [ product( a, b, X ), ~( product( identity, c, X ) ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 252, [ ~( product( inverse( X ), Y, Z ) ), ~( product( Y, T,
% 0.43/1.08 identity ) ), product( Z, T, X ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 296, [ product( identity, inverse( X ), X ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 302, [ =( inverse( X ), X ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 304, [ ~( product( c, identity, d ) ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 306, [ product( a, b, d ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 308, [ ~( product( c, X, Y ) ), ~( product( X, Z, identity ) ), ~(
% 0.43/1.08 product( Y, Z, d ) ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 319, [ ~( product( identity, c, d ) ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 375, [ ~( product( a, b, X ) ), =( d, X ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 589, [ =( d, c ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 620, [ ~( product( identity, c, X ) ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 623, [ ~( product( a, b, X ) ) ] )
% 0.43/1.08 .
% 0.43/1.08 clause( 642, [] )
% 0.43/1.08 .
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 % SZS output end Refutation
% 0.43/1.08 found a proof!
% 0.43/1.08
% 0.43/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.08
% 0.43/1.08 initialclauses(
% 0.43/1.08 [ clause( 644, [ product( identity, X, X ) ] )
% 0.43/1.08 , clause( 645, [ product( X, identity, X ) ] )
% 0.43/1.08 , clause( 646, [ product( inverse( X ), X, identity ) ] )
% 0.43/1.08 , clause( 647, [ product( X, inverse( X ), identity ) ] )
% 0.43/1.08 , clause( 648, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.43/1.08 , clause( 649, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.43/1.08 ) ] )
% 0.43/1.08 , clause( 650, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.43/1.08 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.43/1.08 , clause( 651, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.43/1.08 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.43/1.08 , clause( 652, [ product( X, X, identity ) ] )
% 0.43/1.08 , clause( 653, [ product( a, b, c ) ] )
% 0.43/1.08 , clause( 654, [ product( inverse( a ), inverse( b ), d ) ] )
% 0.43/1.08 , clause( 655, [ ~( product( inverse( X ), inverse( Y ), Z ) ), product( X
% 0.43/1.08 , Z, Y ) ] )
% 0.43/1.08 , clause( 656, [ ~( product( c, d, identity ) ) ] )
% 0.43/1.08 ] ).
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 subsumption(
% 0.43/1.08 clause( 0, [ product( identity, X, X ) ] )
% 0.43/1.08 , clause( 644, [ product( identity, X, X ) ] )
% 0.43/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 subsumption(
% 0.43/1.08 clause( 1, [ product( X, identity, X ) ] )
% 0.43/1.08 , clause( 645, [ product( X, identity, X ) ] )
% 0.43/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 subsumption(
% 0.43/1.08 clause( 2, [ product( inverse( X ), X, identity ) ] )
% 0.43/1.08 , clause( 646, [ product( inverse( X ), X, identity ) ] )
% 0.43/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 subsumption(
% 0.43/1.08 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 0.43/1.08 , clause( 647, [ product( X, inverse( X ), identity ) ] )
% 0.43/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 subsumption(
% 0.43/1.08 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.43/1.08 )
% 0.43/1.08 , clause( 649, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.43/1.08 ) ] )
% 0.43/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.08 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 subsumption(
% 0.43/1.08 clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 0.43/1.08 Z, T, W ) ), product( X, U, W ) ] )
% 0.43/1.08 , clause( 650, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.43/1.08 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.43/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.43/1.08 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.43/1.08 , 2 ), ==>( 3, 3 )] ) ).
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 subsumption(
% 0.43/1.08 clause( 7, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 0.43/1.08 X, U, W ) ), product( Z, T, W ) ] )
% 0.43/1.08 , clause( 651, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.43/1.08 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.43/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.43/1.08 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.43/1.08 , 2 ), ==>( 3, 3 )] ) ).
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 subsumption(
% 0.43/1.08 clause( 8, [ product( X, X, identity ) ] )
% 0.43/1.08 , clause( 652, [ product( X, X, identity ) ] )
% 0.43/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 subsumption(
% 0.43/1.08 clause( 9, [ product( a, b, c ) ] )
% 0.43/1.08 , clause( 653, [ product( a, b, c ) ] )
% 0.43/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 subsumption(
% 0.43/1.08 clause( 10, [ product( inverse( a ), inverse( b ), d ) ] )
% 0.43/1.08 , clause( 654, [ product( inverse( a ), inverse( b ), d ) ] )
% 0.43/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 subsumption(
% 0.43/1.09 clause( 11, [ ~( product( inverse( X ), inverse( Y ), Z ) ), product( X, Z
% 0.43/1.09 , Y ) ] )
% 0.43/1.09 , clause( 655, [ ~( product( inverse( X ), inverse( Y ), Z ) ), product( X
% 0.43/1.09 , Z, Y ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 12, [ ~( product( c, d, identity ) ) ] )
% 0.43/1.09 , clause( 656, [ ~( product( c, d, identity ) ) ] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 717, [ product( X, identity, inverse( X ) ) ] )
% 0.43/1.09 , clause( 11, [ ~( product( inverse( X ), inverse( Y ), Z ) ), product( X,
% 0.43/1.09 Z, Y ) ] )
% 0.43/1.09 , 0, clause( 3, [ product( X, inverse( X ), identity ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, inverse( X ) ), :=( Z, identity
% 0.43/1.09 )] ), substitution( 1, [ :=( X, inverse( X ) )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 22, [ product( X, identity, inverse( X ) ) ] )
% 0.43/1.09 , clause( 717, [ product( X, identity, inverse( X ) ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 718, [ product( inverse( X ), identity, X ) ] )
% 0.43/1.09 , clause( 11, [ ~( product( inverse( X ), inverse( Y ), Z ) ), product( X,
% 0.43/1.09 Z, Y ) ] )
% 0.43/1.09 , 0, clause( 2, [ product( inverse( X ), X, identity ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, X ), :=( Z, identity
% 0.43/1.09 )] ), substitution( 1, [ :=( X, inverse( X ) )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 23, [ product( inverse( X ), identity, X ) ] )
% 0.43/1.09 , clause( 718, [ product( inverse( X ), identity, X ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 719, [ ~( product( inverse( c ), inverse( identity ), d ) ) ] )
% 0.43/1.09 , clause( 12, [ ~( product( c, d, identity ) ) ] )
% 0.43/1.09 , 0, clause( 11, [ ~( product( inverse( X ), inverse( Y ), Z ) ), product(
% 0.43/1.09 X, Z, Y ) ] )
% 0.43/1.09 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y, identity
% 0.43/1.09 ), :=( Z, d )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 24, [ ~( product( inverse( c ), inverse( identity ), d ) ) ] )
% 0.43/1.09 , clause( 719, [ ~( product( inverse( c ), inverse( identity ), d ) ) ] )
% 0.43/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 720, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 0.43/1.09 , clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 0.43/1.09 ] )
% 0.43/1.09 , 0, clause( 0, [ product( identity, X, X ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, X ), :=( T, Y
% 0.43/1.09 )] ), substitution( 1, [ :=( X, X )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 31, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 0.43/1.09 , clause( 720, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.09 ), ==>( 1, 1 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 723, [ ~( product( X, Y, Z ) ), ~( product( Z, identity, T ) ),
% 0.43/1.09 product( X, inverse( Y ), T ) ] )
% 0.43/1.09 , clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 0.43/1.09 Z, T, W ) ), product( X, U, W ) ] )
% 0.43/1.09 , 1, clause( 22, [ product( X, identity, inverse( X ) ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, identity
% 0.43/1.09 ), :=( U, inverse( Y ) ), :=( W, T )] ), substitution( 1, [ :=( X, Y )] )
% 0.43/1.09 ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 subsumption(
% 0.43/1.09 clause( 87, [ ~( product( X, Y, Z ) ), ~( product( Z, identity, T ) ),
% 0.43/1.09 product( X, inverse( Y ), T ) ] )
% 0.43/1.09 , clause( 723, [ ~( product( X, Y, Z ) ), ~( product( Z, identity, T ) ),
% 0.43/1.09 product( X, inverse( Y ), T ) ] )
% 0.43/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 factor(
% 0.43/1.09 clause( 727, [ ~( product( X, identity, X ) ), product( X, inverse(
% 0.43/1.09 identity ), X ) ] )
% 0.43/1.09 , clause( 87, [ ~( product( X, Y, Z ) ), ~( product( Z, identity, T ) ),
% 0.43/1.09 product( X, inverse( Y ), T ) ] )
% 0.43/1.09 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, X ), :=( T
% 0.43/1.09 , X )] )).
% 0.43/1.09
% 0.43/1.09
% 0.43/1.09 resolution(
% 0.43/1.09 clause( 728, [ product( X, inverse( identity ), X ) ] )
% 0.43/1.09 , clause( 727, [ ~( product( X, identity, X ) ), product( X, inverse(
% 0.43/1.09 identity ), X ) ] )
% 0.43/1.09 , 0, clause( 1, [ product( X, identity, X ) ] )
% 0.43/1.09 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.43/1.09 ).
% 0.43/1.09
% 300.02/300.44 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------