%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP030-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 0.77s 1.27s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP030-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Tue Jun 14 02:22:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.77/1.27 *** allocated 10000 integers for termspace/termends
% 0.77/1.27 *** allocated 10000 integers for clauses
% 0.77/1.27 *** allocated 10000 integers for justifications
% 0.77/1.27 Bliksem 1.12
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 Automatic Strategy Selection
% 0.77/1.27
% 0.77/1.27 Clauses:
% 0.77/1.27 [
% 0.77/1.27 [ product( X, Y, multiply( X, Y ) ) ],
% 0.77/1.27 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 0.77/1.27 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.77/1.27 ) ), product( X, U, W ) ],
% 0.77/1.27 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.77/1.27 ) ), product( Z, T, W ) ],
% 0.77/1.27 [ product( identity, X, X ) ],
% 0.77/1.27 [ product( inverse( X ), X, identity ) ],
% 0.77/1.27 [ ~( product( a, identity, a ) ) ]
% 0.77/1.27 ] .
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 percentage equality = 0.066667, percentage horn = 1.000000
% 0.77/1.27 This is a problem with some equality
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 Options Used:
% 0.77/1.27
% 0.77/1.27 useres = 1
% 0.77/1.27 useparamod = 1
% 0.77/1.27 useeqrefl = 1
% 0.77/1.27 useeqfact = 1
% 0.77/1.27 usefactor = 1
% 0.77/1.27 usesimpsplitting = 0
% 0.77/1.27 usesimpdemod = 5
% 0.77/1.27 usesimpres = 3
% 0.77/1.27
% 0.77/1.27 resimpinuse = 1000
% 0.77/1.27 resimpclauses = 20000
% 0.77/1.27 substype = eqrewr
% 0.77/1.27 backwardsubs = 1
% 0.77/1.27 selectoldest = 5
% 0.77/1.27
% 0.77/1.27 litorderings [0] = split
% 0.77/1.27 litorderings [1] = extend the termordering, first sorting on arguments
% 0.77/1.27
% 0.77/1.27 termordering = kbo
% 0.77/1.27
% 0.77/1.27 litapriori = 0
% 0.77/1.27 termapriori = 1
% 0.77/1.27 litaposteriori = 0
% 0.77/1.27 termaposteriori = 0
% 0.77/1.27 demodaposteriori = 0
% 0.77/1.27 ordereqreflfact = 0
% 0.77/1.27
% 0.77/1.27 litselect = negord
% 0.77/1.27
% 0.77/1.27 maxweight = 15
% 0.77/1.27 maxdepth = 30000
% 0.77/1.27 maxlength = 115
% 0.77/1.27 maxnrvars = 195
% 0.77/1.27 excuselevel = 1
% 0.77/1.27 increasemaxweight = 1
% 0.77/1.27
% 0.77/1.27 maxselected = 10000000
% 0.77/1.27 maxnrclauses = 10000000
% 0.77/1.27
% 0.77/1.27 showgenerated = 0
% 0.77/1.27 showkept = 0
% 0.77/1.27 showselected = 0
% 0.77/1.27 showdeleted = 0
% 0.77/1.27 showresimp = 1
% 0.77/1.27 showstatus = 2000
% 0.77/1.27
% 0.77/1.27 prologoutput = 1
% 0.77/1.27 nrgoals = 5000000
% 0.77/1.27 totalproof = 1
% 0.77/1.27
% 0.77/1.27 Symbols occurring in the translation:
% 0.77/1.27
% 0.77/1.27 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.77/1.27 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.77/1.27 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.77/1.27 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.27 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.27 multiply [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.77/1.27 product [42, 3] (w:1, o:50, a:1, s:1, b:0),
% 0.77/1.27 identity [47, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.77/1.27 inverse [49, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.77/1.27 a [50, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 Starting Search:
% 0.77/1.27
% 0.77/1.27 Resimplifying inuse:
% 0.77/1.27 Done
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 Bliksems!, er is een bewijs:
% 0.77/1.27 % SZS status Unsatisfiable
% 0.77/1.27 % SZS output start Refutation
% 0.77/1.27
% 0.77/1.27 clause( 1, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.77/1.27 )
% 0.77/1.27 .
% 0.77/1.27 clause( 2, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 0.77/1.27 Z, T, W ) ), product( X, U, W ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 3, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 0.77/1.27 X, U, W ) ), product( Z, T, W ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 4, [ product( identity, X, X ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 5, [ product( inverse( X ), X, identity ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 6, [ ~( product( a, identity, a ) ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 11, [ ~( product( X, Y, Z ) ), ~( product( Y, T, Y ) ), product( Z
% 0.77/1.27 , T, Z ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 15, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 31, [ ~( product( X, Y, Z ) ), ~( product( identity, Y, T ) ),
% 0.77/1.27 product( inverse( X ), Z, T ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 107, [ ~( product( X, Y, a ) ), ~( product( Y, identity, Z ) ), ~(
% 0.77/1.27 product( X, Z, a ) ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 109, [ ~( product( X, identity, Y ) ), ~( product( X, Z, T ) ),
% 0.77/1.27 product( Y, Z, T ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 112, [ ~( product( X, identity, Y ) ), product( Y, identity, Y ) ]
% 0.77/1.27 )
% 0.77/1.27 .
% 0.77/1.27 clause( 113, [ ~( product( X, Y, a ) ), ~( product( Y, identity, Y ) ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 119, [ ~( product( X, identity, a ) ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 128, [ ~( product( Y, X, a ) ), ~( product( identity, X, identity )
% 0.77/1.27 ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 295, [ ~( product( X, Y, identity ) ), ~( product( Y, Z, Y ) ), ~(
% 0.77/1.27 product( T, Z, a ) ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 301, [ ~( product( X, a, identity ) ), ~( product( a, Y, a ) ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 306, [ ~( product( a, X, a ) ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 309, [ ~( product( X, Y, a ) ), ~( product( Y, Z, Y ) ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 1214, [ ~( product( X, identity, Y ) ), ~( product( Z, Y, a ) ) ]
% 0.77/1.27 )
% 0.77/1.27 .
% 0.77/1.27 clause( 1731, [ ~( product( X, Y, identity ) ), ~( product( identity, Y, Z
% 0.77/1.27 ) ), ~( product( T, Z, a ) ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 1776, [ ~( product( X, a, identity ) ) ] )
% 0.77/1.27 .
% 0.77/1.27 clause( 1780, [] )
% 0.77/1.27 .
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 % SZS output end Refutation
% 0.77/1.27 found a proof!
% 0.77/1.27
% 0.77/1.27 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.77/1.27
% 0.77/1.27 initialclauses(
% 0.77/1.27 [ clause( 1782, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.77/1.27 , clause( 1783, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.77/1.27 ) ] )
% 0.77/1.27 , clause( 1784, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.77/1.27 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.77/1.27 , clause( 1785, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.77/1.27 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.77/1.27 , clause( 1786, [ product( identity, X, X ) ] )
% 0.77/1.27 , clause( 1787, [ product( inverse( X ), X, identity ) ] )
% 0.77/1.27 , clause( 1788, [ ~( product( a, identity, a ) ) ] )
% 0.77/1.27 ] ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 1, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.77/1.27 )
% 0.77/1.27 , clause( 1783, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.77/1.27 ) ] )
% 0.77/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.77/1.27 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 2, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 0.77/1.27 Z, T, W ) ), product( X, U, W ) ] )
% 0.77/1.27 , clause( 1784, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.77/1.27 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.77/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.77/1.27 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.77/1.27 , 2 ), ==>( 3, 3 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 3, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 0.77/1.27 X, U, W ) ), product( Z, T, W ) ] )
% 0.77/1.27 , clause( 1785, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.77/1.27 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.77/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.77/1.27 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.77/1.27 , 2 ), ==>( 3, 3 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 4, [ product( identity, X, X ) ] )
% 0.77/1.27 , clause( 1786, [ product( identity, X, X ) ] )
% 0.77/1.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 5, [ product( inverse( X ), X, identity ) ] )
% 0.77/1.27 , clause( 1787, [ product( inverse( X ), X, identity ) ] )
% 0.77/1.27 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 6, [ ~( product( a, identity, a ) ) ] )
% 0.77/1.27 , clause( 1788, [ ~( product( a, identity, a ) ) ] )
% 0.77/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 factor(
% 0.77/1.27 clause( 1832, [ ~( product( X, Y, Z ) ), ~( product( Y, T, Y ) ), product(
% 0.77/1.27 Z, T, Z ) ] )
% 0.77/1.27 , clause( 3, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 0.77/1.27 X, U, W ) ), product( Z, T, W ) ] )
% 0.77/1.27 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.77/1.27 :=( U, Y ), :=( W, Z )] )).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 11, [ ~( product( X, Y, Z ) ), ~( product( Y, T, Y ) ), product( Z
% 0.77/1.27 , T, Z ) ] )
% 0.77/1.27 , clause( 1832, [ ~( product( X, Y, Z ) ), ~( product( Y, T, Y ) ), product(
% 0.77/1.27 Z, T, Z ) ] )
% 0.77/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.77/1.27 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 resolution(
% 0.77/1.27 clause( 1835, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 0.77/1.27 , clause( 1, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 0.77/1.27 ] )
% 0.77/1.27 , 0, clause( 4, [ product( identity, X, X ) ] )
% 0.77/1.27 , 0, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, X ), :=( T, Y
% 0.77/1.27 )] ), substitution( 1, [ :=( X, X )] )).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 subsumption(
% 0.77/1.27 clause( 15, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 0.77/1.27 , clause( 1835, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 0.77/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.77/1.27 ), ==>( 1, 1 )] ) ).
% 0.77/1.27
% 0.77/1.27
% 0.77/1.27 resolution(
% 0.77/1.27 clause( 1837, [ ~( product( X, Y, Z ) ), ~( product( identity, Y, T ) ),
% 0.77/1.27 product( inverse( X ), Z, T ) ] )
% 0.77/1.27 , clause( 2, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 0.77/1.27 Z, T, W ) ), product( X, U, W ) ] )
% 0.77/1.27 , 0, clause( 5, [ product( inverse( X ), X, identity ) ] )
% 0.77/1.27 , 0, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, X ), :=( Z, identity
% 0.77/1.27 ), :=( T, Y ), :=( U, Z ), :=( W, T )] ), substiCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------