TSTP Solution File: GRP010-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP010-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 07:34:16 EDT 2022
% Result : Unsatisfiable 1.31s 1.76s
% Output : Refutation 1.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP010-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Tue Jun 14 10:38:34 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.31/1.76 *** allocated 10000 integers for termspace/termends
% 1.31/1.76 *** allocated 10000 integers for clauses
% 1.31/1.76 *** allocated 10000 integers for justifications
% 1.31/1.76 Bliksem 1.12
% 1.31/1.76
% 1.31/1.76
% 1.31/1.76 Automatic Strategy Selection
% 1.31/1.76
% 1.31/1.76 Clauses:
% 1.31/1.76 [
% 1.31/1.76 [ product( identity, X, X ) ],
% 1.31/1.76 [ product( X, identity, X ) ],
% 1.31/1.76 [ product( inverse( X ), X, identity ) ],
% 1.31/1.76 [ product( X, inverse( X ), identity ) ],
% 1.31/1.76 [ product( X, Y, multiply( X, Y ) ) ],
% 1.31/1.76 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 1.31/1.76 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 1.31/1.76 ) ), product( X, U, W ) ],
% 1.31/1.76 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 1.31/1.76 ) ), product( Z, T, W ) ],
% 1.31/1.76 [ product( a, b, identity ) ],
% 1.31/1.76 [ ~( product( b, a, identity ) ) ]
% 1.31/1.76 ] .
% 1.31/1.76
% 1.31/1.76
% 1.31/1.76 percentage equality = 0.055556, percentage horn = 1.000000
% 1.31/1.76 This is a problem with some equality
% 1.31/1.76
% 1.31/1.76
% 1.31/1.76
% 1.31/1.76 Options Used:
% 1.31/1.76
% 1.31/1.76 useres = 1
% 1.31/1.76 useparamod = 1
% 1.31/1.76 useeqrefl = 1
% 1.31/1.76 useeqfact = 1
% 1.31/1.76 usefactor = 1
% 1.31/1.76 usesimpsplitting = 0
% 1.31/1.76 usesimpdemod = 5
% 1.31/1.76 usesimpres = 3
% 1.31/1.76
% 1.31/1.76 resimpinuse = 1000
% 1.31/1.76 resimpclauses = 20000
% 1.31/1.76 substype = eqrewr
% 1.31/1.76 backwardsubs = 1
% 1.31/1.76 selectoldest = 5
% 1.31/1.76
% 1.31/1.76 litorderings [0] = split
% 1.31/1.76 litorderings [1] = extend the termordering, first sorting on arguments
% 1.31/1.76
% 1.31/1.76 termordering = kbo
% 1.31/1.76
% 1.31/1.76 litapriori = 0
% 1.31/1.76 termapriori = 1
% 1.31/1.76 litaposteriori = 0
% 1.31/1.76 termaposteriori = 0
% 1.31/1.76 demodaposteriori = 0
% 1.31/1.76 ordereqreflfact = 0
% 1.31/1.76
% 1.31/1.76 litselect = negord
% 1.31/1.76
% 1.31/1.76 maxweight = 15
% 1.31/1.76 maxdepth = 30000
% 1.31/1.76 maxlength = 115
% 1.31/1.76 maxnrvars = 195
% 1.31/1.76 excuselevel = 1
% 1.31/1.76 increasemaxweight = 1
% 1.31/1.76
% 1.31/1.76 maxselected = 10000000
% 1.31/1.76 maxnrclauses = 10000000
% 1.31/1.76
% 1.31/1.76 showgenerated = 0
% 1.31/1.76 showkept = 0
% 1.31/1.76 showselected = 0
% 1.31/1.76 showdeleted = 0
% 1.31/1.76 showresimp = 1
% 1.31/1.76 showstatus = 2000
% 1.31/1.76
% 1.31/1.76 prologoutput = 1
% 1.31/1.76 nrgoals = 5000000
% 1.31/1.76 totalproof = 1
% 1.31/1.76
% 1.31/1.76 Symbols occurring in the translation:
% 1.31/1.76
% 1.31/1.76 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.31/1.76 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 1.31/1.76 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 1.31/1.76 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.31/1.76 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.31/1.76 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.31/1.76 product [41, 3] (w:1, o:50, a:1, s:1, b:0),
% 1.31/1.76 inverse [42, 1] (w:1, o:23, a:1, s:1, b:0),
% 1.31/1.76 multiply [44, 2] (w:1, o:49, a:1, s:1, b:0),
% 1.31/1.76 a [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.31/1.76 b [50, 0] (w:1, o:17, a:1, s:1, b:0).
% 1.31/1.76
% 1.31/1.76
% 1.31/1.76 Starting Search:
% 1.31/1.76
% 1.31/1.76 Resimplifying inuse:
% 1.31/1.76 Done
% 1.31/1.76
% 1.31/1.76
% 1.31/1.76 Intermediate Status:
% 1.31/1.76 Generated: 7172
% 1.31/1.76 Kept: 2006
% 1.31/1.76 Inuse: 112
% 1.31/1.76 Deleted: 14
% 1.31/1.76 Deletedinuse: 9
% 1.31/1.76
% 1.31/1.76 Resimplifying inuse:
% 1.31/1.76 Done
% 1.31/1.76
% 1.31/1.76 Resimplifying inuse:
% 1.31/1.76 Done
% 1.31/1.76
% 1.31/1.76
% 1.31/1.76 Intermediate Status:
% 1.31/1.76 Generated: 15308
% 1.31/1.76 Kept: 4045
% 1.31/1.76 Inuse: 170
% 1.31/1.76 Deleted: 26
% 1.31/1.76 Deletedinuse: 16
% 1.31/1.76
% 1.31/1.76 Resimplifying inuse:
% 1.31/1.76 Done
% 1.31/1.76
% 1.31/1.76 Resimplifying inuse:
% 1.31/1.76 Done
% 1.31/1.76
% 1.31/1.76
% 1.31/1.76 Intermediate Status:
% 1.31/1.76 Generated: 37277
% 1.31/1.76 Kept: 6143
% 1.31/1.76 Inuse: 273
% 1.31/1.76 Deleted: 59
% 1.31/1.76 Deletedinuse: 16
% 1.31/1.76
% 1.31/1.76 Resimplifying inuse:
% 1.31/1.76 Done
% 1.31/1.76
% 1.31/1.76
% 1.31/1.76 Bliksems!, er is een bewijs:
% 1.31/1.76 % SZS status Unsatisfiable
% 1.31/1.76 % SZS output start Refutation
% 1.31/1.76
% 1.31/1.76 clause( 0, [ product( identity, X, X ) ] )
% 1.31/1.76 .
% 1.31/1.76 clause( 2, [ product( inverse( X ), X, identity ) ] )
% 1.31/1.76 .
% 1.31/1.76 clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.31/1.76 .
% 1.31/1.76 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 1.31/1.76 )
% 1.31/1.76 .
% 1.31/1.76 clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 1.31/1.76 Z, T, W ) ), product( X, U, W ) ] )
% 1.31/1.76 .
% 1.31/1.76 clause( 7, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 1.31/1.76 X, U, W ) ), product( Z, T, W ) ] )
% 1.31/1.76 .
% 1.31/1.76 clause( 8, [ product( a, b, identity ) ] )
% 1.31/1.76 .
% 1.31/1.76 clause( 9, [ ~( product( b, a, identity ) ) ] )
% 1.31/1.76 .
% 1.31/1.76 clause( 14, [ ~( product( X, Y, Z ) ), ~( product( Y, T, Y ) ), product( Z
% 1.31/1.76 , T, Z ) ] )
% 1.31/1.76 .
% 1.31/1.76 clause( 20, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 1.31/1.76 .
% 1.31/1.76 clause( 52, [ product( X, b, identity ), ~( product( identity, a, X ) ) ]
% 1.31/1.76 )
% 1.31/1.76 .
% 1.31/1.76 clause( 64, [ product( X, Y, Y ), ~( product( identity, identity, X ) ) ]
% 1.31/1.76 )
% 1.31/1.76 .
% 1.31/1.76 clause( 79, [ ~( product( X, Y, Z ) ), ~( product( Z, T, U ) ), product( X
% 1.31/1.76 , multiply( Y, T ), U ) ] )
% 1.31/1.76 .
% 1.31/1.76 clause( 433, [ ~( product( X, Y, X ) ), product( identity, Y, identity ) ]
% 1.31/1.76 )
% 1.31/1.76 .
% 1.31/1.76 clause( 440, [ ~( product( X, Y, X ) ), =( Y, identity ) ] )
% 1.31/1.76 .
% 1.31/1.76 clause( 481, [ ~( product( b, a, X ) ), ~( product( Y, X, Y ) ) ] )
% 1.31/1.76 .
% 1.31/1.76 clause( 516, [ ~( product( X, multiply( b, a ), X ) ) ] )
% 1.31/1.76 .
% 1.31/1.76 clause( 6323, [ ~( product( identity, X, Y ) ), product( Z, multiply( b, X
% 1.31/1.76 ), Y ), ~( product( identity, a, Z ) ) ] )
% 1.31/1.76 .
% 1.31/1.76 clause( 6499, [ ~( product( identity, a, X ) ) ] )
% 1.31/1.76 .
% 1.31/1.76 clause( 6523, [] )
% 1.31/1.76 .
% 1.31/1.76
% 1.31/1.76
% 1.31/1.76 % SZS output end Refutation
% 1.31/1.76 found a proof!
% 1.31/1.76
% 1.31/1.76 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.31/1.76
% 1.31/1.76 initialclauses(
% 1.31/1.76 [ clause( 6525, [ product( identity, X, X ) ] )
% 1.31/1.76 , clause( 6526, [ product( X, identity, X ) ] )
% 1.31/1.76 , clause( 6527, [ product( inverse( X ), X, identity ) ] )
% 1.31/1.76 , clause( 6528, [ product( X, inverse( X ), identity ) ] )
% 1.31/1.76 , clause( 6529, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.31/1.76 , clause( 6530, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 1.31/1.76 ) ] )
% 1.31/1.76 , clause( 6531, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 1.31/1.76 product( Z, T, W ) ), product( X, U, W ) ] )
% 1.31/1.76 , clause( 6532, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 1.31/1.76 product( X, U, W ) ), product( Z, T, W ) ] )
% 1.31/1.76 , clause( 6533, [ product( a, b, identity ) ] )
% 1.31/1.76 , clause( 6534, [ ~( product( b, a, identity ) ) ] )
% 1.31/1.76 ] ).
% 1.31/1.76
% 1.31/1.76
% 1.31/1.76
% 1.31/1.76 subsumption(
% 1.31/1.76 clause( 0, [ product( identity, X, X ) ] )
% 1.31/1.76 , clause( 6525, [ product( identity, X, X ) ] )
% 1.31/1.76 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.31/1.76
% 1.31/1.76
% 1.31/1.76 subsumption(
% 1.31/1.76 clause( 2, [ product( inverse( X ), X, identity ) ] )
% 1.31/1.76 , clause( 6527, [ product( inverse( X ), X, identity ) ] )
% 1.31/1.76 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.31/1.76
% 1.31/1.76
% 1.31/1.76 subsumption(
% 1.31/1.76 clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.31/1.76 , clause( 6529, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.31/1.76 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.31/1.76 )] ) ).
% 1.31/1.76
% 1.31/1.76
% 1.31/1.76 subsumption(
% 1.31/1.76 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 1.31/1.76 )
% 1.31/1.76 , clause( 6530, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 1.31/1.76 ) ] )
% 1.31/1.76 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.31/1.76 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.31/1.76
% 1.31/1.76
% 1.31/1.76 subsumption(
% 1.31/1.76 clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 1.31/1.76 Z, T, W ) ), product( X, U, W ) ] )
% 1.31/1.76 , clause( 6531, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 1.31/1.76 product( Z, T, W ) ), product( X, U, W ) ] )
% 1.31/1.76 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.31/1.76 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.31/1.76 , 2 ), ==>( 3, 3 )] ) ).
% 1.31/1.76
% 1.31/1.76
% 1.31/1.76 subsumption(
% 1.31/1.76 clause( 7, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 1.31/1.76 X, U, W ) ), product( Z, T, W ) ] )
% 1.31/1.76 , clause( 6532, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 1.31/1.76 product( X, U, W ) ), product( Z, T, W ) ] )
% 1.31/1.76 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.31/1.76 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.31/1.76 , 2 ), ==>( 3, 3 )] ) ).
% 1.31/1.76
% 1.31/1.76
% 1.31/1.76 subsumption(
% 1.31/1.76 clause( 8, [ product( a, b, identity ) ] )
% 1.31/1.76 , clause( 6533, [ product( a, b, identity ) ] )
% 1.31/1.76 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.31/1.76
% 1.31/1.76
% 1.31/1.76 subsumption(
% 1.31/1.76 clause( 9, [ ~( product( b, a, identity ) ) ] )
% 1.31/1.76 , clause( 6534, [ ~( product( b, a, identity ) ) ] )
% 1.31/1.76 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.31/1.76
% 1.31/1.76
% 1.31/1.76 factor(
% 1.31/1.76 clause( 6569, [ ~( product( X, Y, Z ) ), ~( product( Y, T, Y ) ), product(
% 1.31/1.76 Z, T, Z ) ] )
% 1.31/1.76 , clause( 7, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 1.31/1.76 X, U, W ) ), product( Z, T, W ) ] )
% 1.31/1.76 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 1.31/1.76 :=( U, Y ), :=( W, Z )] )).
% 1.31/1.76
% 1.31/1.76
% 1.31/1.76 subsumption(
% 1.31/1.76 clause( 14, [ ~( product( X, Y, Z ) ), ~( product( Y, T, Y ) ), product( Z
% 1.31/1.76 , T, Z ) ] )
% 1.31/1.76 , clause( 6569, [ ~( product( X, Y, Z ) ), ~( product( Y, T, Y ) ), product(
% 1.31/1.76 Z, T, Z ) ] )
% 1.31/1.76 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.31/1.76 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.31/1.76
% 1.31/1.76
% 1.31/1.76 resolution(
% 1.31/1.76 clause( 6572, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 1.31/1.76 , clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 1.31/1.76 ] )
% 1.31/1.76 , 0, claCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------