TSTP Solution File: GRP031-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP031-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 07:34:27 EDT 2022
% Result : Unsatisfiable 0.84s 1.20s
% Output : Refutation 0.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP031-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 14 05:20:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.84/1.20 *** allocated 10000 integers for termspace/termends
% 0.84/1.20 *** allocated 10000 integers for clauses
% 0.84/1.20 *** allocated 10000 integers for justifications
% 0.84/1.20 Bliksem 1.12
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 Automatic Strategy Selection
% 0.84/1.20
% 0.84/1.20 Clauses:
% 0.84/1.20 [
% 0.84/1.20 [ product( X, Y, multiply( X, Y ) ) ],
% 0.84/1.20 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 0.84/1.20 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.84/1.20 ) ), product( X, U, W ) ],
% 0.84/1.20 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.84/1.20 ) ), product( Z, T, W ) ],
% 0.84/1.20 [ product( identity, X, X ) ],
% 0.84/1.20 [ product( inverse( X ), X, identity ) ],
% 0.84/1.20 [ ~( product( a, X, identity ) ) ]
% 0.84/1.20 ] .
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 percentage equality = 0.066667, percentage horn = 1.000000
% 0.84/1.20 This is a problem with some equality
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 Options Used:
% 0.84/1.20
% 0.84/1.20 useres = 1
% 0.84/1.20 useparamod = 1
% 0.84/1.20 useeqrefl = 1
% 0.84/1.20 useeqfact = 1
% 0.84/1.20 usefactor = 1
% 0.84/1.20 usesimpsplitting = 0
% 0.84/1.20 usesimpdemod = 5
% 0.84/1.20 usesimpres = 3
% 0.84/1.20
% 0.84/1.20 resimpinuse = 1000
% 0.84/1.20 resimpclauses = 20000
% 0.84/1.20 substype = eqrewr
% 0.84/1.20 backwardsubs = 1
% 0.84/1.20 selectoldest = 5
% 0.84/1.20
% 0.84/1.20 litorderings [0] = split
% 0.84/1.20 litorderings [1] = extend the termordering, first sorting on arguments
% 0.84/1.20
% 0.84/1.20 termordering = kbo
% 0.84/1.20
% 0.84/1.20 litapriori = 0
% 0.84/1.20 termapriori = 1
% 0.84/1.20 litaposteriori = 0
% 0.84/1.20 termaposteriori = 0
% 0.84/1.20 demodaposteriori = 0
% 0.84/1.20 ordereqreflfact = 0
% 0.84/1.20
% 0.84/1.20 litselect = negord
% 0.84/1.20
% 0.84/1.20 maxweight = 15
% 0.84/1.20 maxdepth = 30000
% 0.84/1.20 maxlength = 115
% 0.84/1.20 maxnrvars = 195
% 0.84/1.20 excuselevel = 1
% 0.84/1.20 increasemaxweight = 1
% 0.84/1.20
% 0.84/1.20 maxselected = 10000000
% 0.84/1.20 maxnrclauses = 10000000
% 0.84/1.20
% 0.84/1.20 showgenerated = 0
% 0.84/1.20 showkept = 0
% 0.84/1.20 showselected = 0
% 0.84/1.20 showdeleted = 0
% 0.84/1.20 showresimp = 1
% 0.84/1.20 showstatus = 2000
% 0.84/1.20
% 0.84/1.20 prologoutput = 1
% 0.84/1.20 nrgoals = 5000000
% 0.84/1.20 totalproof = 1
% 0.84/1.20
% 0.84/1.20 Symbols occurring in the translation:
% 0.84/1.20
% 0.84/1.20 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.84/1.20 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.84/1.20 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.84/1.20 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.84/1.20 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.84/1.20 multiply [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.84/1.20 product [42, 3] (w:1, o:50, a:1, s:1, b:0),
% 0.84/1.20 identity [47, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.84/1.20 inverse [49, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.84/1.20 a [50, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 Starting Search:
% 0.84/1.20
% 0.84/1.20 Resimplifying inuse:
% 0.84/1.20 Done
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 Bliksems!, er is een bewijs:
% 0.84/1.20 % SZS status Unsatisfiable
% 0.84/1.20 % SZS output start Refutation
% 0.84/1.20
% 0.84/1.20 clause( 0, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 1, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.84/1.20 )
% 0.84/1.20 .
% 0.84/1.20 clause( 2, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 0.84/1.20 Z, T, W ) ), product( X, U, W ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 3, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 0.84/1.20 X, U, W ) ), product( Z, T, W ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 4, [ product( identity, X, X ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 5, [ product( inverse( X ), X, identity ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 6, [ ~( product( a, X, identity ) ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 11, [ ~( product( X, Y, Z ) ), ~( product( Y, T, Y ) ), product( Z
% 0.84/1.20 , T, Z ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 15, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 28, [ ~( product( X, Y, Z ) ), ~( product( Z, T, U ) ), product( X
% 0.84/1.20 , multiply( Y, T ), U ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 65, [ ~( product( a, Y, X ) ), ~( product( identity, X, identity )
% 0.84/1.20 ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 296, [ ~( product( identity, multiply( a, X ), identity ) ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 305, [ ~( product( X, Y, X ) ), product( identity, Y, identity ) ]
% 0.84/1.20 )
% 0.84/1.20 .
% 0.84/1.20 clause( 319, [ ~( product( X, multiply( a, Y ), X ) ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 1408, [ ~( product( X, a, Y ) ), ~( product( Y, Z, X ) ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 1463, [ ~( product( X, a, identity ) ) ] )
% 0.84/1.20 .
% 0.84/1.20 clause( 1473, [] )
% 0.84/1.20 .
% 0.84/1.20
% 0.84/1.20
% 0.84/1.20 % SZS output end Refutation
% 0.84/1.20 found a proof!
% 0.84/1.20
% 0.84/1.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.84/1.20
% 0.84/1.20 initialclauses(
% 0.84/1.20 [ clause( 1475, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.84/1.20 , clause( 1476, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.84/1.20 ) ] )
% 0.84/1.20 , clause( 1477, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.84/1.20 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.84/1.20 , clause( 1478, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.84/1.20 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.84/1.20 , clause( 147Cputime limit exceeded (core dumped)
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