TSTP Solution File: GRP019-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP019-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 07:34:20 EDT 2022
% Result : Unsatisfiable 0.72s 1.11s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP019-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Mon Jun 13 20:47:34 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.72/1.11 *** allocated 10000 integers for termspace/termends
% 0.72/1.11 *** allocated 10000 integers for clauses
% 0.72/1.11 *** allocated 10000 integers for justifications
% 0.72/1.11 Bliksem 1.12
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Automatic Strategy Selection
% 0.72/1.11
% 0.72/1.11 Clauses:
% 0.72/1.11 [
% 0.72/1.11 [ product( identity, X, X ) ],
% 0.72/1.11 [ product( X, identity, X ) ],
% 0.72/1.11 [ product( inverse( X ), X, identity ) ],
% 0.72/1.11 [ product( X, inverse( X ), identity ) ],
% 0.72/1.11 [ product( X, Y, multiply( X, Y ) ) ],
% 0.72/1.11 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 0.72/1.11 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.72/1.11 ) ), product( X, U, W ) ],
% 0.72/1.11 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.72/1.11 ) ), product( Z, T, W ) ],
% 0.72/1.11 [ ~( =( multiply( identity, a ), a ) ) ]
% 0.72/1.11 ] .
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 percentage equality = 0.117647, percentage horn = 1.000000
% 0.72/1.11 This is a problem with some equality
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Options Used:
% 0.72/1.11
% 0.72/1.11 useres = 1
% 0.72/1.11 useparamod = 1
% 0.72/1.11 useeqrefl = 1
% 0.72/1.11 useeqfact = 1
% 0.72/1.11 usefactor = 1
% 0.72/1.11 usesimpsplitting = 0
% 0.72/1.11 usesimpdemod = 5
% 0.72/1.11 usesimpres = 3
% 0.72/1.11
% 0.72/1.11 resimpinuse = 1000
% 0.72/1.11 resimpclauses = 20000
% 0.72/1.11 substype = eqrewr
% 0.72/1.11 backwardsubs = 1
% 0.72/1.11 selectoldest = 5
% 0.72/1.11
% 0.72/1.11 litorderings [0] = split
% 0.72/1.11 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.11
% 0.72/1.11 termordering = kbo
% 0.72/1.11
% 0.72/1.11 litapriori = 0
% 0.72/1.11 termapriori = 1
% 0.72/1.11 litaposteriori = 0
% 0.72/1.11 termaposteriori = 0
% 0.72/1.11 demodaposteriori = 0
% 0.72/1.11 ordereqreflfact = 0
% 0.72/1.11
% 0.72/1.11 litselect = negord
% 0.72/1.11
% 0.72/1.11 maxweight = 15
% 0.72/1.11 maxdepth = 30000
% 0.72/1.11 maxlength = 115
% 0.72/1.11 maxnrvars = 195
% 0.72/1.11 excuselevel = 1
% 0.72/1.11 increasemaxweight = 1
% 0.72/1.11
% 0.72/1.11 maxselected = 10000000
% 0.72/1.11 maxnrclauses = 10000000
% 0.72/1.11
% 0.72/1.11 showgenerated = 0
% 0.72/1.11 showkept = 0
% 0.72/1.11 showselected = 0
% 0.72/1.11 showdeleted = 0
% 0.72/1.11 showresimp = 1
% 0.72/1.11 showstatus = 2000
% 0.72/1.11
% 0.72/1.11 prologoutput = 1
% 0.72/1.11 nrgoals = 5000000
% 0.72/1.11 totalproof = 1
% 0.72/1.11
% 0.72/1.11 Symbols occurring in the translation:
% 0.72/1.11
% 0.72/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.11 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.72/1.11 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.72/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.11 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.72/1.11 product [41, 3] (w:1, o:49, a:1, s:1, b:0),
% 0.72/1.11 inverse [42, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.72/1.11 multiply [44, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.72/1.11 a [49, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Starting Search:
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Bliksems!, er is een bewijs:
% 0.72/1.11 % SZS status Unsatisfiable
% 0.72/1.11 % SZS output start Refutation
% 0.72/1.11
% 0.72/1.11 clause( 0, [ product( identity, X, X ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.72/1.11 )
% 0.72/1.11 .
% 0.72/1.11 clause( 8, [ ~( =( multiply( identity, a ), a ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 18, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 31, [ =( multiply( identity, X ), X ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 39, [ ~( =( X, a ) ), ~( product( identity, X, a ) ) ] )
% 0.72/1.11 .
% 0.72/1.11 clause( 56, [] )
% 0.72/1.11 .
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 % SZS output end Refutation
% 0.72/1.11 found a proof!
% 0.72/1.11
% 0.72/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.11
% 0.72/1.11 initialclauses(
% 0.72/1.11 [ clause( 58, [ product( identity, X, X ) ] )
% 0.72/1.11 , clause( 59, [ product( X, identity, X ) ] )
% 0.72/1.11 , clause( 60, [ product( inverse( X ), X, identity ) ] )
% 0.72/1.12 , clause( 61, [ product( X, inverse( X ), identity ) ] )
% 0.72/1.12 , clause( 62, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.72/1.12 , clause( 63, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 0.72/1.12 ] )
% 0.72/1.12 , clause( 64, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.72/1.12 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.72/1.12 , clause( 65, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.72/1.12 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.72/1.12 , clause( 66, [ ~( =( multiply( identity, a ), a ) ) ] )
% 0.72/1.12 ] ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 0, [ product( identity, X, X ) ] )
% 0.72/1.12 , clause( 58, [ product( identity, X, X ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.72/1.12 , clause( 62, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.72/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.12 )] ) ).
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 subsumption(
% 0.72/1.12 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.72/1.12 )
% 0.72/1.12 , clause( 63, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 93.31/93.69 ] )
% 93.31/93.69 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 93.31/93.69 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 93.31/93.69
% 93.31/93.69
% 93.31/93.69 subsumption(
% 93.31/93.69 clause( 8, [ ~( =( multiply( identity, a ), a ) ) ] )
% 93.31/93.69 , clause( 66, [ ~( =( multiply( identity, a ), a ) ) ] )
% 93.31/93.69 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 93.31/93.69
% 93.31/93.69
% 93.31/93.69 resolution(
% 93.31/93.69 clause( 78, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 93.31/93.69 , clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 93.31/93.69 ] )
% 93.31/93.69 , 0, clause( 0, [ product( identity, X, X ) ] )
% 93.31/93.69 , 0, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, X ), :=( T, Y
% 93.31/93.69 )] ), substitution( 1, [ :=( X, X )] )).
% 93.31/93.69
% 93.31/93.69
% 93.31/93.69 subsumption(
% 93.31/93.69 clause( 18, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 93.31/93.69 , clause( 78, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 93.31/93.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 93.31/93.69 ), ==>( 1, 1 )] ) ).
% 93.31/93.69
% 93.31/93.69
% 93.31/93.69 eqswap(
% 93.31/93.69 clause( 80, [ =( Y, X ), ~( product( identity, X, Y ) ) ] )
% 93.31/93.69 , clause( 18, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 93.31/93.69 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 93.31/93.69
% 93.31/93.69
% 93.31/93.69 resolution(
% 93.31/93.69 clause( 81, [ =( multiply( identity, X ), X ) ] )
% 93.31/93.69 , clause( 80, [ =( Y, X ), ~( product( identity, X, Y ) ) ] )
% 93.31/93.69 , 1, clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 93.31/93.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, multiply( identity, X ) )] ),
% 93.31/93.69 substitution( 1, [ :=( X, identity ), :=( Y, X )] )).
% 93.31/93.69
% 93.31/93.69
% 93.31/93.69 subsumption(
% 93.31/93.69 clause( 31, [ =( multiply( identity, X ), X ) ] )
% 93.31/93.69 , clause( 81, [ =( multiply( identity, X ), X ) ] )
% 93.31/93.69 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 93.31/93.69
% 93.31/93.69
% 93.31/93.69 eqswap(
% 93.31/93.69 clause( 83, [ =( Y, X ), ~( product( identity, X, Y ) ) ] )
% 93.31/93.69 , clause( 18, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 93.31/93.69 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 93.31/93.69
% 93.31/93.69
% 93.31/93.69 eqswap(
% 93.31/93.69 clause( 84, [ ~( =( a, multiply( identity, a ) ) ) ] )
% 93.31/93.69 , clause( 8, [ ~( =( multiply( identity, a ), a ) ) ] )
% 93.31/93.69 , 0, substitution( 0, [] )).
% 93.31/93.69
% 93.31/93.69
% 93.31/93.69 paramod(
% 93.31/93.69 clause( 88, [ ~( =( a, X ) ), ~( product( identity, X, multiply( identity,
% 93.31/93.69 a ) ) ) ] )
% 93.31/93.69 , clause( 83, [ =( Y, X ), ~( product( identity, X, Y ) ) ] )
% 93.31/93.69 , 0, clause( 84, [ ~( =( a, multiply( identity, a ) ) ) ] )
% 93.31/93.69 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, multiply( identity, a ) )] )
% 93.31/93.69 , substitution( 1, [] )).
% 93.31/93.69
% 93.31/93.69
% 93.31/93.69 paramod(
% 93.31/93.69 clause( 366566, [ ~( product( identity, X, a ) ), ~( =( a, X ) ) ] )
% 93.31/93.69 , clause( 31, [ =( multiply( identity, X ), X ) ] )
% 93.31/93.69 , 0, clause( 88, [ ~( =( a, X ) ), ~( product( identity, X, multiply(
% 93.31/93.69 identity, a ) ) ) ] )
% 93.31/93.69 , 1, 4, substitution( 0, [ :=( X, a )] ), substitution( 1, [ :=( X, X )] )
% 93.31/93.69 ).
% 93.31/93.69
% 93.31/93.69
% 93.31/93.69 eqswap(
% 93.31/93.69 clause( 366567, [ ~( =( X, a ) ), ~( product( identity, X, a ) ) ] )
% 93.31/93.69 , clause( 366566, [ ~( product( identity, X, a ) ), ~( =( a, X ) ) ] )
% 93.31/93.69 , 1, substitution( 0, [ :=( X, X )] )).
% 93.31/93.69
% 93.31/93.69
% 93.31/93.69 subsumption(
% 93.31/93.69 clause( 39, [ ~( =( X, a ) ), ~( product( identity, X, a ) ) ] )
% 93.31/93.69 , clause( 366567, [ ~( =( X, a ) ), ~( product( identity, X, a ) ) ] )
% 93.31/93.69 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 93.31/93.69 1 )] ) ).
% 93.31/93.69
% 93.31/93.69
% 93.31/93.69 eqswap(
% 93.31/93.69 clause( 366568, [ ~( =( a, X ) ), ~( product( identity, X, a ) ) ] )
% 93.31/93.69 , clause( 39, [ ~( =( X, a ) ), ~( product( identity, X, a ) ) ] )
% 93.31/93.69 , 0, substitution( 0, [ :=( X, X )] )).
% 93.31/93.69
% 93.31/93.69
% 93.31/93.69 eqrefl(
% 93.31/93.69 clause( 366569, [ ~( product( identity, a, a ) ) ] )
% 93.31/93.69 , clause( 366568, [ ~( =( a, X ) ), ~( product( identity, X, a ) ) ] )
% 93.31/93.69 , 0, substitution( 0, [ :=( X, a )] )).
% 93.31/93.69
% 93.31/93.69
% 93.31/93.69 resolution(
% 93.31/93.69 clause( 366570, [] )
% 93.31/93.69 , clause( 366569, [ ~( product( identity, a, a ) ) ] )
% 93.31/93.69 , 0, clause( 0, [ product( identity, X, X ) ] )
% 93.31/93.69 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 93.31/93.69
% 93.31/93.69
% 93.31/93.69 subsumption(
% 93.31/93.69 clause( 56, [] )
% 93.31/93.69 , clause( 366570, [] )
% 93.31/93.69 , substitution( 0, [] ), permutation( 0, [] ) ).
% 93.31/93.69
% 93.31/93.69
% 93.31/93.69 end.
% 93.31/93.69
% 93.31/93.69 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 93.31/93.69
% 93.31/93.69 Memory use:
% 93.31/93.69
% 93.31/93.69 space for terms: 835
% 93.31/93.69 space for clauses: 2860
% 93.31/93.69
% 93.31/93.69
% 93.31/93.69 clauses generated: 94
% 93.31/93.69 clauses kept: 57
% 93.31/93.69 clauses selected: 8
% 93.31/93.69 clauses deleted: 0
% 93.31/93.69 clauses inuse deleted: 0
% 93.31/93.69
% 93.31/93.69 subsentry: 271237509
% 93.31/93.69 literals s-matched: 42203464
% 93.31/93.69 literals matched: 33613763
% 93.31/93.69 full subsumption: 32944640
% 93.31/93.69
% 93.31/93.69 checksum: -1142975917
% 93.31/93.69
% 93.31/93.69
% 93.31/93.69 Bliksem ended
%------------------------------------------------------------------------------