TSTP Solution File: GRP671-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP671-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 07:38:46 EDT 2022
% Result : Unsatisfiable 0.72s 1.08s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP671-1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Mon Jun 13 08:28:08 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.72/1.08 *** allocated 10000 integers for termspace/termends
% 0.72/1.08 *** allocated 10000 integers for clauses
% 0.72/1.08 *** allocated 10000 integers for justifications
% 0.72/1.08 Bliksem 1.12
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Automatic Strategy Selection
% 0.72/1.08
% 0.72/1.08 Clauses:
% 0.72/1.08 [
% 0.72/1.08 [ =( mult( X, ld( X, Y ) ), Y ) ],
% 0.72/1.08 [ =( ld( X, mult( X, Y ) ), Y ) ],
% 0.72/1.08 [ =( mult( rd( X, Y ), Y ), X ) ],
% 0.72/1.08 [ =( rd( mult( X, Y ), Y ), X ) ],
% 0.72/1.08 [ =( mult( X, unit ), X ) ],
% 0.72/1.08 [ =( mult( unit, X ), X ) ],
% 0.72/1.08 [ =( mult( i( X ), mult( X, Y ) ), Y ) ],
% 0.72/1.08 [ =( mult( mult( X, Y ), i( Y ) ), X ) ],
% 0.72/1.08 [ =( mult( mult( X, Y ), mult( Z, mult( X, Y ) ) ), mult( mult( mult( X
% 0.72/1.08 , mult( Y, Z ) ), X ), Y ) ) ],
% 0.72/1.08 [ ~( =( mult( mult( a, b ), a ), mult( a, mult( b, a ) ) ) ) ]
% 0.72/1.08 ] .
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 percentage equality = 1.000000, percentage horn = 1.000000
% 0.72/1.08 This is a pure equality problem
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Options Used:
% 0.72/1.08
% 0.72/1.08 useres = 1
% 0.72/1.08 useparamod = 1
% 0.72/1.08 useeqrefl = 1
% 0.72/1.08 useeqfact = 1
% 0.72/1.08 usefactor = 1
% 0.72/1.08 usesimpsplitting = 0
% 0.72/1.08 usesimpdemod = 5
% 0.72/1.08 usesimpres = 3
% 0.72/1.08
% 0.72/1.08 resimpinuse = 1000
% 0.72/1.08 resimpclauses = 20000
% 0.72/1.08 substype = eqrewr
% 0.72/1.08 backwardsubs = 1
% 0.72/1.08 selectoldest = 5
% 0.72/1.08
% 0.72/1.08 litorderings [0] = split
% 0.72/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.08
% 0.72/1.08 termordering = kbo
% 0.72/1.08
% 0.72/1.08 litapriori = 0
% 0.72/1.08 termapriori = 1
% 0.72/1.08 litaposteriori = 0
% 0.72/1.08 termaposteriori = 0
% 0.72/1.08 demodaposteriori = 0
% 0.72/1.08 ordereqreflfact = 0
% 0.72/1.08
% 0.72/1.08 litselect = negord
% 0.72/1.08
% 0.72/1.08 maxweight = 15
% 0.72/1.08 maxdepth = 30000
% 0.72/1.08 maxlength = 115
% 0.72/1.08 maxnrvars = 195
% 0.72/1.08 excuselevel = 1
% 0.72/1.08 increasemaxweight = 1
% 0.72/1.08
% 0.72/1.08 maxselected = 10000000
% 0.72/1.08 maxnrclauses = 10000000
% 0.72/1.08
% 0.72/1.08 showgenerated = 0
% 0.72/1.08 showkept = 0
% 0.72/1.08 showselected = 0
% 0.72/1.08 showdeleted = 0
% 0.72/1.08 showresimp = 1
% 0.72/1.08 showstatus = 2000
% 0.72/1.08
% 0.72/1.08 prologoutput = 1
% 0.72/1.08 nrgoals = 5000000
% 0.72/1.08 totalproof = 1
% 0.72/1.08
% 0.72/1.08 Symbols occurring in the translation:
% 0.72/1.08
% 0.72/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.08 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.72/1.08 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.72/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.08 ld [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.72/1.08 mult [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.72/1.08 rd [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.72/1.08 unit [44, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.72/1.08 i [45, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.72/1.08 a [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.72/1.08 b [48, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Starting Search:
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Bliksems!, er is een bewijs:
% 0.72/1.08 % SZS status Unsatisfiable
% 0.72/1.08 % SZS output start Refutation
% 0.72/1.08
% 0.72/1.08 clause( 4, [ =( mult( X, unit ), X ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 5, [ =( mult( unit, X ), X ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 8, [ =( mult( mult( X, Y ), mult( Z, mult( X, Y ) ) ), mult( mult(
% 0.72/1.08 mult( X, mult( Y, Z ) ), X ), Y ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 9, [ ~( =( mult( a, mult( b, a ) ), mult( mult( a, b ), a ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 .
% 0.72/1.08 clause( 41, [ =( mult( X, mult( Y, X ) ), mult( mult( X, Y ), X ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 47, [] )
% 0.72/1.08 .
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 % SZS output end Refutation
% 0.72/1.08 found a proof!
% 0.72/1.08
% 0.72/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.08
% 0.72/1.08 initialclauses(
% 0.72/1.08 [ clause( 49, [ =( mult( X, ld( X, Y ) ), Y ) ] )
% 0.72/1.08 , clause( 50, [ =( ld( X, mult( X, Y ) ), Y ) ] )
% 0.72/1.08 , clause( 51, [ =( mult( rd( X, Y ), Y ), X ) ] )
% 0.72/1.08 , clause( 52, [ =( rd( mult( X, Y ), Y ), X ) ] )
% 0.72/1.08 , clause( 53, [ =( mult( X, unit ), X ) ] )
% 0.72/1.08 , clause( 54, [ =( mult( unit, X ), X ) ] )
% 0.72/1.08 , clause( 55, [ =( mult( i( X ), mult( X, Y ) ), Y ) ] )
% 0.72/1.08 , clause( 56, [ =( mult( mult( X, Y ), i( Y ) ), X ) ] )
% 0.72/1.08 , clause( 57, [ =( mult( mult( X, Y ), mult( Z, mult( X, Y ) ) ), mult(
% 0.72/1.08 mult( mult( X, mult( Y, Z ) ), X ), Y ) ) ] )
% 0.72/1.08 , clause( 58, [ ~( =( mult( mult( a, b ), a ), mult( a, mult( b, a ) ) ) )
% 0.72/1.08 ] )
% 0.72/1.08 ] ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 4, [ =( mult( X, unit ), X ) ] )
% 0.72/1.08 , clause( 53, [ =( mult( X, unit ), X ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 5, [ =( mult( unit, X ), X ) ] )
% 0.72/1.08 , clause( 54, [ =( mult( unit, X ), X ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 8, [ =( mult( mult( X, Y ), mult( Z, mult( X, Y ) ) ), mult( mult(
% 0.72/1.08 mult( X, mult( Y, Z ) ), X ), Y ) ) ] )
% 0.72/1.08 , clause( 57, [ =( mult( mult( X, Y ), mult( Z, mult( X, Y ) ) ), mult(
% 0.72/1.08 mult( mult( X, mult( Y, Z ) ), X ), Y ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 88, [ ~( =( mult( a, mult( b, a ) ), mult( mult( a, b ), a ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 58, [ ~( =( mult( mult( a, b ), a ), mult( a, mult( b, a ) ) ) )
% 0.72/1.08 ] )
% 0.72/1.08 , 0, substitution( 0, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 9, [ ~( =( mult( a, mult( b, a ) ), mult( mult( a, b ), a ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 88, [ ~( =( mult( a, mult( b, a ) ), mult( mult( a, b ), a ) ) )
% 0.72/1.08 ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 90, [ =( mult( mult( mult( X, mult( Y, Z ) ), X ), Y ), mult( mult(
% 0.72/1.08 X, Y ), mult( Z, mult( X, Y ) ) ) ) ] )
% 0.72/1.08 , clause( 8, [ =( mult( mult( X, Y ), mult( Z, mult( X, Y ) ) ), mult( mult(
% 0.72/1.08 mult( X, mult( Y, Z ) ), X ), Y ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 97, [ =( mult( mult( mult( X, mult( unit, Y ) ), X ), unit ), mult(
% 0.72/1.08 mult( X, unit ), mult( Y, X ) ) ) ] )
% 0.72/1.08 , clause( 4, [ =( mult( X, unit ), X ) ] )
% 0.72/1.08 , 0, clause( 90, [ =( mult( mult( mult( X, mult( Y, Z ) ), X ), Y ), mult(
% 0.72/1.08 mult( X, Y ), mult( Z, mult( X, Y ) ) ) ) ] )
% 0.72/1.08 , 0, 16, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.08 :=( Y, unit ), :=( Z, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 103, [ =( mult( mult( mult( X, mult( unit, Y ) ), X ), unit ), mult(
% 0.72/1.08 X, mult( Y, X ) ) ) ] )
% 0.72/1.08 , clause( 4, [ =( mult( X, unit ), X ) ] )
% 0.72/1.08 , 0, clause( 97, [ =( mult( mult( mult( X, mult( unit, Y ) ), X ), unit ),
% 0.72/1.08 mult( mult( X, unit ), mult( Y, X ) ) ) ] )
% 0.72/1.08 , 0, 11, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.08 :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 104, [ =( mult( mult( X, mult( unit, Y ) ), X ), mult( X, mult( Y,
% 0.72/1.08 X ) ) ) ] )
% 0.72/1.08 , clause( 4, [ =( mult( X, unit ), X ) ] )
% 0.72/1.08 , 0, clause( 103, [ =( mult( mult( mult( X, mult( unit, Y ) ), X ), unit )
% 0.72/1.08 , mult( X, mult( Y, X ) ) ) ] )
% 0.72/1.08 , 0, 1, substitution( 0, [ :=( X, mult( mult( X, mult( unit, Y ) ), X ) )] )
% 0.72/1.08 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 107, [ =( mult( mult( X, Y ), X ), mult( X, mult( Y, X ) ) ) ] )
% 0.72/1.08 , clause( 5, [ =( mult( unit, X ), X ) ] )
% 0.72/1.08 , 0, clause( 104, [ =( mult( mult( X, mult( unit, Y ) ), X ), mult( X, mult(
% 0.72/1.08 Y, X ) ) ) ] )
% 0.72/1.08 , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.72/1.08 :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 108, [ =( mult( X, mult( Y, X ) ), mult( mult( X, Y ), X ) ) ] )
% 0.72/1.08 , clause( 107, [ =( mult( mult( X, Y ), X ), mult( X, mult( Y, X ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 41, [ =( mult( X, mult( Y, X ) ), mult( mult( X, Y ), X ) ) ] )
% 0.72/1.08 , clause( 108, [ =( mult( X, mult( Y, X ) ), mult( mult( X, Y ), X ) ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 111, [ ~( =( mult( mult( a, b ), a ), mult( mult( a, b ), a ) ) ) ]
% 0.72/1.08 )
% 0.72/1.08 , clause( 41, [ =( mult( X, mult( Y, X ) ), mult( mult( X, Y ), X ) ) ] )
% 0.72/1.08 , 0, clause( 9, [ ~( =( mult( a, mult( b, a ) ), mult( mult( a, b ), a ) )
% 0.72/1.08 ) ] )
% 0.72/1.08 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.72/1.08 ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqrefl(
% 0.72/1.08 clause( 112, [] )
% 0.72/1.08 , clause( 111, [ ~( =( mult( mult( a, b ), a ), mult( mult( a, b ), a ) ) )
% 0.72/1.08 ] )
% 0.72/1.08 , 0, substitution( 0, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 47, [] )
% 0.72/1.08 , clause( 112, [] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 end.
% 0.72/1.08
% 0.72/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.08
% 0.72/1.08 Memory use:
% 0.72/1.08
% 0.72/1.08 space for terms: 702
% 0.72/1.08 space for clauses: 5628
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 clauses generated: 216
% 0.72/1.08 clauses kept: 48
% 0.72/1.08 clauses selected: 24
% 0.72/1.08 clauses deleted: 2
% 0.72/1.08 clauses inuse deleted: 0
% 0.72/1.08
% 0.72/1.08 subsentry: 278
% 0.72/1.08 literals s-matched: 109
% 0.72/1.08 literals matched: 108
% 0.72/1.08 full subsumption: 0
% 0.72/1.08
% 0.72/1.08 checksum: -376361208
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Bliksem ended
%------------------------------------------------------------------------------