%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP023-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 07:34:22 EDT 2022
% Result : Unsatisfiable 0.56s 0.95s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP023-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.11 % Command : bliksem %s
% 0.10/0.31 % Computer : n017.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % DateTime : Tue Jun 14 07:46:23 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.56/0.95 *** allocated 10000 integers for termspace/termends
% 0.56/0.95 *** allocated 10000 integers for clauses
% 0.56/0.95 *** allocated 10000 integers for justifications
% 0.56/0.95 Bliksem 1.12
% 0.56/0.95
% 0.56/0.95
% 0.56/0.95 Automatic Strategy Selection
% 0.56/0.95
% 0.56/0.95 Clauses:
% 0.56/0.95 [
% 0.56/0.95 [ product( identity, X, X ) ],
% 0.56/0.95 [ product( X, identity, X ) ],
% 0.56/0.95 [ product( inverse( X ), X, identity ) ],
% 0.56/0.95 [ product( X, inverse( X ), identity ) ],
% 0.56/0.95 [ product( X, Y, multiply( X, Y ) ) ],
% 0.56/0.95 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 0.56/0.95 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.56/0.95 ) ), product( X, U, W ) ],
% 0.56/0.95 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.56/0.95 ) ), product( Z, T, W ) ],
% 0.56/0.95 [ ~( =( inverse( identity ), identity ) ) ]
% 0.56/0.95 ] .
% 0.56/0.95
% 0.56/0.95
% 0.56/0.95 percentage equality = 0.117647, percentage horn = 1.000000
% 0.56/0.95 This is a problem with some equality
% 0.56/0.95
% 0.56/0.95
% 0.56/0.95
% 0.56/0.95 Options Used:
% 0.56/0.95
% 0.56/0.95 useres = 1
% 0.56/0.95 useparamod = 1
% 0.56/0.95 useeqrefl = 1
% 0.56/0.95 useeqfact = 1
% 0.56/0.95 usefactor = 1
% 0.56/0.95 usesimpsplitting = 0
% 0.56/0.95 usesimpdemod = 5
% 0.56/0.95 usesimpres = 3
% 0.56/0.95
% 0.56/0.95 resimpinuse = 1000
% 0.56/0.95 resimpclauses = 20000
% 0.56/0.95 substype = eqrewr
% 0.56/0.95 backwardsubs = 1
% 0.56/0.95 selectoldest = 5
% 0.56/0.95
% 0.56/0.95 litorderings [0] = split
% 0.56/0.95 litorderings [1] = extend the termordering, first sorting on arguments
% 0.56/0.95
% 0.56/0.95 termordering = kbo
% 0.56/0.95
% 0.56/0.95 litapriori = 0
% 0.56/0.95 termapriori = 1
% 0.56/0.95 litaposteriori = 0
% 0.56/0.95 termaposteriori = 0
% 0.56/0.95 demodaposteriori = 0
% 0.56/0.95 ordereqreflfact = 0
% 0.56/0.95
% 0.56/0.95 litselect = negord
% 0.56/0.95
% 0.56/0.95 maxweight = 15
% 0.56/0.95 maxdepth = 30000
% 0.56/0.95 maxlength = 115
% 0.56/0.95 maxnrvars = 195
% 0.56/0.95 excuselevel = 1
% 0.56/0.95 increasemaxweight = 1
% 0.56/0.95
% 0.56/0.95 maxselected = 10000000
% 0.56/0.95 maxnrclauses = 10000000
% 0.56/0.95
% 0.56/0.95 showgenerated = 0
% 0.56/0.95 showkept = 0
% 0.56/0.95 showselected = 0
% 0.56/0.95 showdeleted = 0
% 0.56/0.95 showresimp = 1
% 0.56/0.95 showstatus = 2000
% 0.56/0.95
% 0.56/0.95 prologoutput = 1
% 0.56/0.95 nrgoals = 5000000
% 0.56/0.95 totalproof = 1
% 0.56/0.95
% 0.56/0.95 Symbols occurring in the translation:
% 0.56/0.95
% 0.56/0.95 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.56/0.95 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.56/0.95 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.56/0.95 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.56/0.95 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.56/0.95 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.56/0.95 product [41, 3] (w:1, o:48, a:1, s:1, b:0),
% 0.56/0.95 inverse [42, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.56/0.95 multiply [44, 2] (w:1, o:47, a:1, s:1, b:0).
% 0.56/0.95
% 0.56/0.95
% 0.56/0.95 Starting Search:
% 0.56/0.95
% 0.56/0.95
% 0.56/0.95 Bliksems!, er is een bewijs:
% 0.56/0.95 % SZS status Unsatisfiable
% 0.56/0.95 % SZS output start Refutation
% 0.56/0.95
% 0.56/0.95 clause( 0, [ product( identity, X, X ) ] )
% 0.56/0.95 .
% 0.56/0.95 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 0.56/0.95 .
% 0.56/0.95 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.56/0.95 )
% 0.56/0.95 .
% 0.56/0.95 clause( 8, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.56/0.95 .
% 0.56/0.95 clause( 18, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 0.56/0.95 .
% 0.56/0.95 clause( 31, [ =( inverse( identity ), identity ) ] )
% 0.56/0.95 .
% 0.56/0.95 clause( 46, [ ~( =( X, identity ) ), ~( product( identity, X, identity ) )
% 0.56/0.95 ] )
% 0.56/0.95 .
% 0.56/0.95 clause( 53, [] )
% 0.56/0.95 .
% 0.56/0.95
% 0.56/0.95
% 0.56/0.95 % SZS output end Refutation
% 0.56/0.95 found a proof!
% 0.56/0.95
% 0.56/0.95 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.56/0.95
% 0.56/0.95 initialclauses(
% 0.56/0.95 [ clause( 55, [ product( identity, X, X ) ] )
% 0.56/0.95 , clause( 56, [ product( X, identity, X ) ] )
% 0.56/0.95 , clause( 57, [ product( inverse( X ), X, identity ) ] )
% 0.56/0.95 , clause( 58, [ product( X, inverse( X ), identity ) ] )
% 0.56/0.95 , clause( 59, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.56/0.95 , clause( 60, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 0.56/0.95 ] )
% 0.56/0.95 , clause( 61, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.56/0.95 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.56/0.95 , clause( 62, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.56/0.95 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.56/0.95 , clause( 63, [ ~( =( inverse( identity ), identity ) ) ] )
% 0.56/0.95 ] ).
% 0.56/0.95
% 0.56/0.95
% 0.56/0.95
% 0.56/0.95 subsumption(
% 0.56/0.95 clause( 0, [ product( identity, X, X ) ] )
% 0.56/0.95 , clause( 55, [ product( identity, X, X ) ] )
% 0.56/0.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.56/0.95
% 0.56/0.95
% 0.56/0.95 subsumption(
% 0.56/0.95 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 0.56/0.95 , clause( 58, [ product( X, inverse( X ), identity ) ] )
% 0.56/0.95 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.56/0.95
% 0.56/0.95
% 0.56/0.95 subsumption(
% 0.56/0.95 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.56/0.95 )
% 0.56/0.95 , clause( 60, [ ~( product( XCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------