TSTP Solution File: GRP010-4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP010-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 07:34:17 EDT 2022
% Result : Unsatisfiable 0.44s 0.85s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GRP010-4 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.09 % Command : bliksem %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % DateTime : Mon Jun 13 06:32:11 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.44/0.85 *** allocated 10000 integers for termspace/termends
% 0.44/0.85 *** allocated 10000 integers for clauses
% 0.44/0.85 *** allocated 10000 integers for justifications
% 0.44/0.85 Bliksem 1.12
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 Automatic Strategy Selection
% 0.44/0.85
% 0.44/0.85 Clauses:
% 0.44/0.85 [
% 0.44/0.85 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.44/0.85 ],
% 0.44/0.85 [ =( multiply( identity, X ), X ) ],
% 0.44/0.85 [ =( multiply( inverse( X ), X ), identity ) ],
% 0.44/0.85 [ =( multiply( c, b ), identity ) ],
% 0.44/0.85 [ ~( =( multiply( b, c ), identity ) ) ]
% 0.44/0.85 ] .
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 percentage equality = 1.000000, percentage horn = 1.000000
% 0.44/0.85 This is a pure equality problem
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 Options Used:
% 0.44/0.85
% 0.44/0.85 useres = 1
% 0.44/0.85 useparamod = 1
% 0.44/0.85 useeqrefl = 1
% 0.44/0.85 useeqfact = 1
% 0.44/0.85 usefactor = 1
% 0.44/0.85 usesimpsplitting = 0
% 0.44/0.85 usesimpdemod = 5
% 0.44/0.85 usesimpres = 3
% 0.44/0.85
% 0.44/0.85 resimpinuse = 1000
% 0.44/0.85 resimpclauses = 20000
% 0.44/0.85 substype = eqrewr
% 0.44/0.85 backwardsubs = 1
% 0.44/0.85 selectoldest = 5
% 0.44/0.85
% 0.44/0.85 litorderings [0] = split
% 0.44/0.85 litorderings [1] = extend the termordering, first sorting on arguments
% 0.44/0.85
% 0.44/0.85 termordering = kbo
% 0.44/0.85
% 0.44/0.85 litapriori = 0
% 0.44/0.85 termapriori = 1
% 0.44/0.85 litaposteriori = 0
% 0.44/0.85 termaposteriori = 0
% 0.44/0.85 demodaposteriori = 0
% 0.44/0.85 ordereqreflfact = 0
% 0.44/0.85
% 0.44/0.85 litselect = negord
% 0.44/0.85
% 0.44/0.85 maxweight = 15
% 0.44/0.85 maxdepth = 30000
% 0.44/0.85 maxlength = 115
% 0.44/0.85 maxnrvars = 195
% 0.44/0.85 excuselevel = 1
% 0.44/0.85 increasemaxweight = 1
% 0.44/0.85
% 0.44/0.85 maxselected = 10000000
% 0.44/0.85 maxnrclauses = 10000000
% 0.44/0.85
% 0.44/0.85 showgenerated = 0
% 0.44/0.85 showkept = 0
% 0.44/0.85 showselected = 0
% 0.44/0.85 showdeleted = 0
% 0.44/0.85 showresimp = 1
% 0.44/0.85 showstatus = 2000
% 0.44/0.85
% 0.44/0.85 prologoutput = 1
% 0.44/0.85 nrgoals = 5000000
% 0.44/0.85 totalproof = 1
% 0.44/0.85
% 0.44/0.85 Symbols occurring in the translation:
% 0.44/0.85
% 0.44/0.85 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/0.85 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.44/0.85 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.44/0.85 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/0.85 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/0.85 multiply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.44/0.85 identity [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.44/0.85 inverse [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.44/0.85 c [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.44/0.85 b [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 Starting Search:
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 Bliksems!, er is een bewijs:
% 0.44/0.85 % SZS status Unsatisfiable
% 0.44/0.85 % SZS output start Refutation
% 0.44/0.85
% 0.44/0.85 clause( 0, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.44/0.85 , Z ) ) ] )
% 0.44/0.85 .
% 0.44/0.85 clause( 1, [ =( multiply( identity, X ), X ) ] )
% 0.44/0.85 .
% 0.44/0.85 clause( 2, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.44/0.85 .
% 0.44/0.85 clause( 3, [ =( multiply( c, b ), identity ) ] )
% 0.44/0.85 .
% 0.44/0.85 clause( 4, [ ~( =( multiply( b, c ), identity ) ) ] )
% 0.44/0.85 .
% 0.44/0.85 clause( 7, [ =( multiply( multiply( X, c ), b ), multiply( X, identity ) )
% 0.44/0.85 ] )
% 0.44/0.85 .
% 0.44/0.85 clause( 8, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.44/0.85 ] )
% 0.44/0.85 .
% 0.44/0.85 clause( 17, [ =( multiply( inverse( c ), identity ), b ) ] )
% 0.44/0.85 .
% 0.44/0.85 clause( 18, [ =( multiply( inverse( c ), X ), multiply( b, X ) ) ] )
% 0.44/0.85 .
% 0.44/0.85 clause( 28, [] )
% 0.44/0.85 .
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 % SZS output end Refutation
% 0.44/0.85 found a proof!
% 0.44/0.85
% 0.44/0.85 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/0.85
% 0.44/0.85 initialclauses(
% 0.44/0.85 [ clause( 30, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.44/0.85 Y, Z ) ) ) ] )
% 0.44/0.85 , clause( 31, [ =( multiply( identity, X ), X ) ] )
% 0.44/0.85 , clause( 32, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.44/0.85 , clause( 33, [ =( multiply( c, b ), identity ) ] )
% 0.44/0.85 , clause( 34, [ ~( =( multiply( b, c ), identity ) ) ] )
% 0.44/0.85 ] ).
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 eqswap(
% 0.44/0.85 clause( 35, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.44/0.85 ), Z ) ) ] )
% 0.44/0.85 , clause( 30, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 0.44/0.85 Y, Z ) ) ) ] )
% 0.44/0.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 subsumption(
% 0.44/0.85 clause( 0, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.44/0.85 , Z ) ) ] )
% 0.44/0.85 , clause( 35, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X,
% 0.44/0.85 Y ), Z ) ) ] )
% 0.44/0.85 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.44/0.85 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 subsumption(
% 0.44/0.85 clause( 1, [ =( multiply( identity, X ), X ) ] )
% 0.44/0.85 , clause( 31, [ =( multiply( identity, X ), X ) ] )
% 0.44/0.85 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 subsumption(
% 0.44/0.85 clause( 2, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.44/0.85 , clause( 32, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.44/0.85 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 subsumption(
% 0.44/0.85 clause( 3, [ =( multiply( c, b ), identity ) ] )
% 0.44/0.85 , clause( 33, [ =( multiply( c, b ), identity ) ] )
% 0.44/0.85 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 subsumption(
% 0.44/0.85 clause( 4, [ ~( =( multiply( b, c ), identity ) ) ] )
% 0.44/0.85 , clause( 34, [ ~( =( multiply( b, c ), identity ) ) ] )
% 0.44/0.85 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 eqswap(
% 0.44/0.85 clause( 51, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.44/0.85 , Z ) ) ) ] )
% 0.44/0.85 , clause( 0, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.44/0.85 ), Z ) ) ] )
% 0.44/0.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 paramod(
% 0.44/0.85 clause( 53, [ =( multiply( multiply( X, c ), b ), multiply( X, identity ) )
% 0.44/0.85 ] )
% 0.44/0.85 , clause( 3, [ =( multiply( c, b ), identity ) ] )
% 0.44/0.85 , 0, clause( 51, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.44/0.85 multiply( Y, Z ) ) ) ] )
% 0.44/0.85 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, c ),
% 0.44/0.85 :=( Z, b )] )).
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 subsumption(
% 0.44/0.85 clause( 7, [ =( multiply( multiply( X, c ), b ), multiply( X, identity ) )
% 0.44/0.85 ] )
% 0.44/0.85 , clause( 53, [ =( multiply( multiply( X, c ), b ), multiply( X, identity )
% 0.44/0.85 ) ] )
% 0.44/0.85 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 eqswap(
% 0.44/0.85 clause( 57, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.44/0.85 , Z ) ) ) ] )
% 0.44/0.85 , clause( 0, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.44/0.85 ), Z ) ) ] )
% 0.44/0.85 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 paramod(
% 0.44/0.85 clause( 62, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y ) )
% 0.44/0.85 ] )
% 0.44/0.85 , clause( 1, [ =( multiply( identity, X ), X ) ] )
% 0.44/0.85 , 0, clause( 57, [ =( multiply( multiply( X, Y ), Z ), multiply( X,
% 0.44/0.85 multiply( Y, Z ) ) ) ] )
% 0.44/0.85 , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.44/0.85 :=( Y, identity ), :=( Z, Y )] )).
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 subsumption(
% 0.44/0.85 clause( 8, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X ) )
% 0.44/0.85 ] )
% 0.44/0.85 , clause( 62, [ =( multiply( multiply( X, identity ), Y ), multiply( X, Y )
% 0.44/0.85 ) ] )
% 0.44/0.85 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.44/0.85 )] ) ).
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 eqswap(
% 0.44/0.85 clause( 68, [ =( multiply( X, identity ), multiply( multiply( X, c ), b ) )
% 0.44/0.85 ] )
% 0.44/0.85 , clause( 7, [ =( multiply( multiply( X, c ), b ), multiply( X, identity )
% 0.44/0.85 ) ] )
% 0.44/0.85 , 0, substitution( 0, [ :=( X, X )] )).
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 paramod(
% 0.44/0.85 clause( 71, [ =( multiply( inverse( c ), identity ), multiply( identity, b
% 0.44/0.85 ) ) ] )
% 0.44/0.85 , clause( 2, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.44/0.85 , 0, clause( 68, [ =( multiply( X, identity ), multiply( multiply( X, c ),
% 0.44/0.85 b ) ) ] )
% 0.44/0.85 , 0, 6, substitution( 0, [ :=( X, c )] ), substitution( 1, [ :=( X, inverse(
% 0.44/0.85 c ) )] )).
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 paramod(
% 0.44/0.85 clause( 72, [ =( multiply( inverse( c ), identity ), b ) ] )
% 0.44/0.85 , clause( 1, [ =( multiply( identity, X ), X ) ] )
% 0.44/0.85 , 0, clause( 71, [ =( multiply( inverse( c ), identity ), multiply(
% 0.44/0.85 identity, b ) ) ] )
% 0.44/0.85 , 0, 5, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 subsumption(
% 0.44/0.85 clause( 17, [ =( multiply( inverse( c ), identity ), b ) ] )
% 0.44/0.85 , clause( 72, [ =( multiply( inverse( c ), identity ), b ) ] )
% 0.44/0.85 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 eqswap(
% 0.44/0.85 clause( 75, [ =( multiply( X, Y ), multiply( multiply( X, identity ), Y ) )
% 0.44/0.85 ] )
% 0.44/0.85 , clause( 8, [ =( multiply( multiply( Y, identity ), X ), multiply( Y, X )
% 0.44/0.85 ) ] )
% 0.44/0.85 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 paramod(
% 0.44/0.85 clause( 78, [ =( multiply( inverse( c ), X ), multiply( b, X ) ) ] )
% 0.44/0.85 , clause( 17, [ =( multiply( inverse( c ), identity ), b ) ] )
% 0.44/0.85 , 0, clause( 75, [ =( multiply( X, Y ), multiply( multiply( X, identity ),
% 0.44/0.85 Y ) ) ] )
% 0.44/0.85 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, inverse( c ) ),
% 0.44/0.85 :=( Y, X )] )).
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 subsumption(
% 0.44/0.85 clause( 18, [ =( multiply( inverse( c ), X ), multiply( b, X ) ) ] )
% 0.44/0.85 , clause( 78, [ =( multiply( inverse( c ), X ), multiply( b, X ) ) ] )
% 0.44/0.85 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 eqswap(
% 0.44/0.85 clause( 84, [ =( multiply( b, X ), multiply( inverse( c ), X ) ) ] )
% 0.44/0.85 , clause( 18, [ =( multiply( inverse( c ), X ), multiply( b, X ) ) ] )
% 0.44/0.85 , 0, substitution( 0, [ :=( X, X )] )).
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 paramod(
% 0.44/0.85 clause( 87, [ =( multiply( b, c ), identity ) ] )
% 0.44/0.85 , clause( 2, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.44/0.85 , 0, clause( 84, [ =( multiply( b, X ), multiply( inverse( c ), X ) ) ] )
% 0.44/0.85 , 0, 4, substitution( 0, [ :=( X, c )] ), substitution( 1, [ :=( X, c )] )
% 0.44/0.85 ).
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 resolution(
% 0.44/0.85 clause( 88, [] )
% 0.44/0.85 , clause( 4, [ ~( =( multiply( b, c ), identity ) ) ] )
% 0.44/0.85 , 0, clause( 87, [ =( multiply( b, c ), identity ) ] )
% 0.44/0.85 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 subsumption(
% 0.44/0.85 clause( 28, [] )
% 0.44/0.85 , clause( 88, [] )
% 0.44/0.85 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 end.
% 0.44/0.85
% 0.44/0.85 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/0.85
% 0.44/0.85 Memory use:
% 0.44/0.85
% 0.44/0.85 space for terms: 349
% 0.44/0.85 space for clauses: 2808
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 clauses generated: 106
% 0.44/0.85 clauses kept: 29
% 0.44/0.85 clauses selected: 13
% 0.44/0.85 clauses deleted: 0
% 0.44/0.85 clauses inuse deleted: 0
% 0.44/0.85
% 0.44/0.85 subsentry: 222
% 0.44/0.85 literals s-matched: 75
% 0.44/0.85 literals matched: 71
% 0.44/0.85 full subsumption: 0
% 0.44/0.85
% 0.44/0.85 checksum: 379444158
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 Bliksem ended
%------------------------------------------------------------------------------