TSTP Solution File: GRP022-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP022-1 : 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 07:34:21 EDT 2022
% Result : Unsatisfiable 1.34s 1.74s
% Output : Refutation 1.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP022-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13 % 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 : Mon Jun 13 21:47:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.34/1.74 *** allocated 10000 integers for termspace/termends
% 1.34/1.74 *** allocated 10000 integers for clauses
% 1.34/1.74 *** allocated 10000 integers for justifications
% 1.34/1.74 Bliksem 1.12
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74 Automatic Strategy Selection
% 1.34/1.74
% 1.34/1.74 Clauses:
% 1.34/1.74 [
% 1.34/1.74 [ product( identity, X, X ) ],
% 1.34/1.74 [ product( X, identity, X ) ],
% 1.34/1.74 [ product( inverse( X ), X, identity ) ],
% 1.34/1.74 [ product( X, inverse( X ), identity ) ],
% 1.34/1.74 [ product( X, Y, multiply( X, Y ) ) ],
% 1.34/1.74 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 1.34/1.74 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 1.34/1.74 ) ), product( X, U, W ) ],
% 1.34/1.74 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 1.34/1.74 ) ), product( Z, T, W ) ],
% 1.34/1.74 [ ~( =( inverse( inverse( a ) ), a ) ) ]
% 1.34/1.74 ] .
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74 percentage equality = 0.117647, percentage horn = 1.000000
% 1.34/1.74 This is a problem with some equality
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74 Options Used:
% 1.34/1.74
% 1.34/1.74 useres = 1
% 1.34/1.74 useparamod = 1
% 1.34/1.74 useeqrefl = 1
% 1.34/1.74 useeqfact = 1
% 1.34/1.74 usefactor = 1
% 1.34/1.74 usesimpsplitting = 0
% 1.34/1.74 usesimpdemod = 5
% 1.34/1.74 usesimpres = 3
% 1.34/1.74
% 1.34/1.74 resimpinuse = 1000
% 1.34/1.74 resimpclauses = 20000
% 1.34/1.74 substype = eqrewr
% 1.34/1.74 backwardsubs = 1
% 1.34/1.74 selectoldest = 5
% 1.34/1.74
% 1.34/1.74 litorderings [0] = split
% 1.34/1.74 litorderings [1] = extend the termordering, first sorting on arguments
% 1.34/1.74
% 1.34/1.74 termordering = kbo
% 1.34/1.74
% 1.34/1.74 litapriori = 0
% 1.34/1.74 termapriori = 1
% 1.34/1.74 litaposteriori = 0
% 1.34/1.74 termaposteriori = 0
% 1.34/1.74 demodaposteriori = 0
% 1.34/1.74 ordereqreflfact = 0
% 1.34/1.74
% 1.34/1.74 litselect = negord
% 1.34/1.74
% 1.34/1.74 maxweight = 15
% 1.34/1.74 maxdepth = 30000
% 1.34/1.74 maxlength = 115
% 1.34/1.74 maxnrvars = 195
% 1.34/1.74 excuselevel = 1
% 1.34/1.74 increasemaxweight = 1
% 1.34/1.74
% 1.34/1.74 maxselected = 10000000
% 1.34/1.74 maxnrclauses = 10000000
% 1.34/1.74
% 1.34/1.74 showgenerated = 0
% 1.34/1.74 showkept = 0
% 1.34/1.74 showselected = 0
% 1.34/1.74 showdeleted = 0
% 1.34/1.74 showresimp = 1
% 1.34/1.74 showstatus = 2000
% 1.34/1.74
% 1.34/1.74 prologoutput = 1
% 1.34/1.74 nrgoals = 5000000
% 1.34/1.74 totalproof = 1
% 1.34/1.74
% 1.34/1.74 Symbols occurring in the translation:
% 1.34/1.74
% 1.34/1.74 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.34/1.74 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 1.34/1.74 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 1.34/1.74 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.34/1.74 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.34/1.74 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.34/1.74 product [41, 3] (w:1, o:49, a:1, s:1, b:0),
% 1.34/1.74 inverse [42, 1] (w:1, o:22, a:1, s:1, b:0),
% 1.34/1.74 multiply [44, 2] (w:1, o:48, a:1, s:1, b:0),
% 1.34/1.74 a [49, 0] (w:1, o:16, a:1, s:1, b:0).
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74 Starting Search:
% 1.34/1.74
% 1.34/1.74 Resimplifying inuse:
% 1.34/1.74 Done
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74 Intermediate Status:
% 1.34/1.74 Generated: 8904
% 1.34/1.74 Kept: 2007
% 1.34/1.74 Inuse: 108
% 1.34/1.74 Deleted: 39
% 1.34/1.74 Deletedinuse: 10
% 1.34/1.74
% 1.34/1.74 Resimplifying inuse:
% 1.34/1.74 Done
% 1.34/1.74
% 1.34/1.74 Resimplifying inuse:
% 1.34/1.74 Done
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74 Intermediate Status:
% 1.34/1.74 Generated: 21809
% 1.34/1.74 Kept: 4027
% 1.34/1.74 Inuse: 180
% 1.34/1.74 Deleted: 62
% 1.34/1.74 Deletedinuse: 21
% 1.34/1.74
% 1.34/1.74 Resimplifying inuse:
% 1.34/1.74 Done
% 1.34/1.74
% 1.34/1.74 Resimplifying inuse:
% 1.34/1.74 Done
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74 Intermediate Status:
% 1.34/1.74 Generated: 37092
% 1.34/1.74 Kept: 6227
% 1.34/1.74 Inuse: 238
% 1.34/1.74 Deleted: 65
% 1.34/1.74 Deletedinuse: 22
% 1.34/1.74
% 1.34/1.74 Resimplifying inuse:
% 1.34/1.74 Done
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74 Bliksems!, er is een bewijs:
% 1.34/1.74 % SZS status Unsatisfiable
% 1.34/1.74 % SZS output start Refutation
% 1.34/1.74
% 1.34/1.74 clause( 0, [ product( identity, X, X ) ] )
% 1.34/1.74 .
% 1.34/1.74 clause( 1, [ product( X, identity, X ) ] )
% 1.34/1.74 .
% 1.34/1.74 clause( 2, [ product( inverse( X ), X, identity ) ] )
% 1.34/1.74 .
% 1.34/1.74 clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.34/1.74 .
% 1.34/1.74 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 1.34/1.74 )
% 1.34/1.74 .
% 1.34/1.74 clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 1.34/1.74 Z, T, W ) ), product( X, U, W ) ] )
% 1.34/1.74 .
% 1.34/1.74 clause( 8, [ ~( =( inverse( inverse( a ) ), a ) ) ] )
% 1.34/1.74 .
% 1.34/1.74 clause( 18, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 1.34/1.74 .
% 1.34/1.74 clause( 19, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 1.34/1.74 .
% 1.34/1.74 clause( 31, [ =( multiply( identity, X ), X ) ] )
% 1.34/1.74 .
% 1.34/1.74 clause( 73, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), product( X
% 1.34/1.74 , U, multiply( Z, T ) ) ] )
% 1.34/1.74 .
% 1.34/1.74 clause( 269, [ ~( =( X, a ) ), ~( product( inverse( inverse( a ) ),
% 1.34/1.74 identity, X ) ) ] )
% 1.34/1.74 .
% 1.34/1.74 clause( 284, [ ~( product( inverse( inverse( a ) ), identity, a ) ) ] )
% 1.34/1.74 .
% 1.34/1.74 clause( 6186, [ ~( product( X, Y, Z ) ), product( inverse( X ), Z, Y ) ] )
% 1.34/1.74 .
% 1.34/1.74 clause( 6436, [] )
% 1.34/1.74 .
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74 % SZS output end Refutation
% 1.34/1.74 found a proof!
% 1.34/1.74
% 1.34/1.74 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.34/1.74
% 1.34/1.74 initialclauses(
% 1.34/1.74 [ clause( 6438, [ product( identity, X, X ) ] )
% 1.34/1.74 , clause( 6439, [ product( X, identity, X ) ] )
% 1.34/1.74 , clause( 6440, [ product( inverse( X ), X, identity ) ] )
% 1.34/1.74 , clause( 6441, [ product( X, inverse( X ), identity ) ] )
% 1.34/1.74 , clause( 6442, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.34/1.74 , clause( 6443, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 1.34/1.74 ) ] )
% 1.34/1.74 , clause( 6444, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 1.34/1.74 product( Z, T, W ) ), product( X, U, W ) ] )
% 1.34/1.74 , clause( 6445, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 1.34/1.74 product( X, U, W ) ), product( Z, T, W ) ] )
% 1.34/1.74 , clause( 6446, [ ~( =( inverse( inverse( a ) ), a ) ) ] )
% 1.34/1.74 ] ).
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74 subsumption(
% 1.34/1.74 clause( 0, [ product( identity, X, X ) ] )
% 1.34/1.74 , clause( 6438, [ product( identity, X, X ) ] )
% 1.34/1.74 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74 subsumption(
% 1.34/1.74 clause( 1, [ product( X, identity, X ) ] )
% 1.34/1.74 , clause( 6439, [ product( X, identity, X ) ] )
% 1.34/1.74 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74 subsumption(
% 1.34/1.74 clause( 2, [ product( inverse( X ), X, identity ) ] )
% 1.34/1.74 , clause( 6440, [ product( inverse( X ), X, identity ) ] )
% 1.34/1.74 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74 subsumption(
% 1.34/1.74 clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.34/1.74 , clause( 6442, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.34/1.74 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.34/1.74 )] ) ).
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74 subsumption(
% 1.34/1.74 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 1.34/1.74 )
% 1.34/1.74 , clause( 6443, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 1.34/1.74 ) ] )
% 1.34/1.74 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.34/1.74 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74 subsumption(
% 1.34/1.74 clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 1.34/1.74 Z, T, W ) ), product( X, U, W ) ] )
% 1.34/1.74 , clause( 6444, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 1.34/1.74 product( Z, T, W ) ), product( X, U, W ) ] )
% 1.34/1.74 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.34/1.74 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.34/1.74 , 2 ), ==>( 3, 3 )] ) ).
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74 subsumption(
% 1.34/1.74 clause( 8, [ ~( =( inverse( inverse( a ) ), a ) ) ] )
% 1.34/1.74 , clause( 6446, [ ~( =( inverse( inverse( a ) ), a ) ) ] )
% 1.34/1.74 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74 resolution(
% 1.34/1.74 clause( 6463, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 1.34/1.74 , clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 1.34/1.74 ] )
% 1.34/1.74 , 0, clause( 0, [ product( identity, X, X ) ] )
% 1.34/1.74 , 0, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, X ), :=( T, Y
% 1.34/1.74 )] ), substitution( 1, [ :=( X, X )] )).
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74 subsumption(
% 1.34/1.74 clause( 18, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 1.34/1.74 , clause( 6463, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 1.34/1.74 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.34/1.74 ), ==>( 1, 1 )] ) ).
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74 resolution(
% 1.34/1.74 clause( 6465, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 1.34/1.74 , clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 1.34/1.74 ] )
% 1.34/1.74 , 0, clause( 1, [ product( X, identity, X ) ] )
% 1.34/1.74 , 0, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, X ), :=( T, Y
% 1.34/1.74 )] ), substitution( 1, [ :=( X, X )] )).
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74 subsumption(
% 1.34/1.74 clause( 19, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 1.34/1.74 , clause( 6465, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 1.34/1.74 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.34/1.74 ), ==>( 1, 1 )] ) ).
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74 eqswap(
% 1.34/1.74 clause( 6467, [ =( Y, X ), ~( product( identity, X, Y ) ) ] )
% 1.34/1.74 , clause( 18, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 1.34/1.74 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74 resolution(
% 1.34/1.74 clause( 6468, [ =( multiply( identity, X ), X ) ] )
% 1.34/1.74 , clause( 6467, [ =( Y, X ), ~( product( identity, X, Y ) ) ] )
% 1.34/1.74 , 1, clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.34/1.74 , 0, substitution( 0, [ :=( X, X ), :=( Y, multiply( identity, X ) )] ),
% 1.34/1.74 substitution( 1, [ :=( X, identity ), :=( Y, X )] )).
% 1.34/1.74
% 1.34/1.74
% 1.34/1.74 subsumption(
% 1.34/1.74 clause( 31, [ =( multiply( identity, X ), X ) ] )
% 1.34/1.74 , clause( 6468, [ =( multiply( identity, X ), X ) ] )
% 1.34/1.74 , substitution( 0, [ :=( X, X )] ), permutation(Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------