%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP007-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 07:34:15 EDT 2022
% Result : Unsatisfiable 0.48s 1.14s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Mon Jun 13 22:58:24 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.48/1.14 *** allocated 10000 integers for termspace/termends
% 0.48/1.14 *** allocated 10000 integers for clauses
% 0.48/1.14 *** allocated 10000 integers for justifications
% 0.48/1.14 Bliksem 1.12
% 0.48/1.14
% 0.48/1.14
% 0.48/1.14 Automatic Strategy Selection
% 0.48/1.14
% 0.48/1.14 Clauses:
% 0.48/1.14 [
% 0.48/1.14 [ product( identity, X, X ) ],
% 0.48/1.14 [ product( X, identity, X ) ],
% 0.48/1.14 [ product( inverse( X ), X, identity ) ],
% 0.48/1.14 [ product( X, inverse( X ), identity ) ],
% 0.48/1.14 [ product( X, Y, multiply( X, Y ) ) ],
% 0.48/1.14 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 0.48/1.14 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.48/1.14 ) ), product( X, U, W ) ],
% 0.48/1.14 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.48/1.14 ) ), product( Z, T, W ) ],
% 0.48/1.14 [ product( c, X, X ) ],
% 0.48/1.14 [ product( X, c, X ) ],
% 0.48/1.14 [ ~( =( identity, c ) ) ]
% 0.48/1.14 ] .
% 0.48/1.14
% 0.48/1.14
% 0.48/1.14 percentage equality = 0.105263, percentage horn = 1.000000
% 0.48/1.14 This is a problem with some equality
% 0.48/1.14
% 0.48/1.14
% 0.48/1.14
% 0.48/1.14 Options Used:
% 0.48/1.14
% 0.48/1.14 useres = 1
% 0.48/1.14 useparamod = 1
% 0.48/1.14 useeqrefl = 1
% 0.48/1.14 useeqfact = 1
% 0.48/1.14 usefactor = 1
% 0.48/1.14 usesimpsplitting = 0
% 0.48/1.14 usesimpdemod = 5
% 0.48/1.14 usesimpres = 3
% 0.48/1.14
% 0.48/1.14 resimpinuse = 1000
% 0.48/1.14 resimpclauses = 20000
% 0.48/1.14 substype = eqrewr
% 0.48/1.14 backwardsubs = 1
% 0.48/1.14 selectoldest = 5
% 0.48/1.14
% 0.48/1.14 litorderings [0] = split
% 0.48/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.48/1.14
% 0.48/1.14 termordering = kbo
% 0.48/1.14
% 0.48/1.14 litapriori = 0
% 0.48/1.14 termapriori = 1
% 0.48/1.14 litaposteriori = 0
% 0.48/1.14 termaposteriori = 0
% 0.48/1.14 demodaposteriori = 0
% 0.48/1.14 ordereqreflfact = 0
% 0.48/1.14
% 0.48/1.14 litselect = negord
% 0.48/1.14
% 0.48/1.14 maxweight = 15
% 0.48/1.14 maxdepth = 30000
% 0.48/1.14 maxlength = 115
% 0.48/1.14 maxnrvars = 195
% 0.48/1.14 excuselevel = 1
% 0.48/1.14 increasemaxweight = 1
% 0.48/1.14
% 0.48/1.14 maxselected = 10000000
% 0.48/1.14 maxnrclauses = 10000000
% 0.48/1.14
% 0.48/1.14 showgenerated = 0
% 0.48/1.14 showkept = 0
% 0.48/1.14 showselected = 0
% 0.48/1.14 showdeleted = 0
% 0.48/1.14 showresimp = 1
% 0.48/1.14 showstatus = 2000
% 0.48/1.14
% 0.48/1.14 prologoutput = 1
% 0.48/1.14 nrgoals = 5000000
% 0.48/1.14 totalproof = 1
% 0.48/1.14
% 0.48/1.14 Symbols occurring in the translation:
% 0.48/1.14
% 0.48/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.48/1.14 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.48/1.14 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.48/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.48/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.48/1.14 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.48/1.14 product [41, 3] (w:1, o:50, a:1, s:1, b:0),
% 0.48/1.14 inverse [42, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.48/1.14 multiply [44, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.48/1.14 c [49, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.48/1.14
% 0.48/1.14
% 0.48/1.14 Starting Search:
% 0.48/1.14
% 0.48/1.14
% 0.48/1.14 Bliksems!, er is een bewijs:
% 0.48/1.14 % SZS status Unsatisfiable
% 0.48/1.14 % SZS output start Refutation
% 0.48/1.14
% 0.48/1.14 clause( 0, [ product( identity, X, X ) ] )
% 0.48/1.14 .
% 0.48/1.14 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.48/1.14 )
% 0.48/1.14 .
% 0.48/1.14 clause( 9, [ product( X, c, X ) ] )
% 0.48/1.14 .
% 0.48/1.14 clause( 10, [ ~( =( c, identity ) ) ] )
% 0.48/1.14 .
% 0.48/1.14 clause( 20, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 0.48/1.14 .
% 0.48/1.14 clause( 37, [ =( c, identity ) ] )
% 0.48/1.14 .
% 0.48/1.14 clause( 56, [ ~( =( X, identity ) ), ~( product( identity, X, identity ) )
% 0.48/1.14 ] )
% 0.48/1.14 .
% 0.48/1.14 clause( 57, [] )
% 0.48/1.14 .
% 0.48/1.14
% 0.48/1.14
% 0.48/1.14 % SZS output end Refutation
% 0.48/1.14 found a proof!
% 0.48/1.14
% 0.48/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.48/1.14
% 0.48/1.14 initialclauses(
% 0.48/1.14 [ clause( 59, [ product( identity, X, X ) ] )
% 0.48/1.14 , clause( 60, [ product( X, identity, X ) ] )
% 0.48/1.14 , clause( 61, [ product( inverse( X ), X, identity ) ] )
% 0.48/1.14 , clause( 62, [ product( X, inverse( X ), identity ) ] )
% 0.48/1.14 , clause( 63, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.48/1.14 , clause( 64, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 0.48/1.14 ] )
% 0.48/1.14 , clause( 65, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.48/1.14 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.48/1.14 , clause( 66, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.48/1.14 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.48/1.14 , clause( 67, [ product( c, X, X ) ] )
% 0.48/1.14 , clause( 68, [ product( X, c, X ) ] )
% 0.48/1.14 , clause( 69, [ ~( =( identity, c ) ) ] )
% 0.48/1.14 ] ).
% 0.48/1.14
% 0.48/1.14
% 0.48/1.14
% 0.48/1.14 subsumption(
% 0.48/1.14 clause( 0, [ product( identity, X, X ) ] )
% 0.48/1.14 , clause( 59, [ product( identity, X, X ) ] )
% 0.48/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.48/1.14
% 0.48/1.14
% 0.48/1.14 subsumption(
% 0.48/1.14 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.48/1.14 )
% 0.48/1.14 , clause( 64, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 0.48/1.14 ] )
% 0.48/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ),Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------