TSTP Solution File: GRP009-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP009-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 07:34:16 EDT 2022
% Result : Unsatisfiable 1.60s 2.01s
% Output : Refutation 1.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n028.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 21:33:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.60/2.01 *** allocated 10000 integers for termspace/termends
% 1.60/2.01 *** allocated 10000 integers for clauses
% 1.60/2.01 *** allocated 10000 integers for justifications
% 1.60/2.01 Bliksem 1.12
% 1.60/2.01
% 1.60/2.01
% 1.60/2.01 Automatic Strategy Selection
% 1.60/2.01
% 1.60/2.01 Clauses:
% 1.60/2.01 [
% 1.60/2.01 [ product( identity, X, X ) ],
% 1.60/2.01 [ product( X, identity, X ) ],
% 1.60/2.01 [ product( inverse( X ), X, identity ) ],
% 1.60/2.01 [ product( X, inverse( X ), identity ) ],
% 1.60/2.01 [ product( X, Y, multiply( X, Y ) ) ],
% 1.60/2.01 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 1.60/2.01 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 1.60/2.01 ) ), product( X, U, W ) ],
% 1.60/2.01 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 1.60/2.01 ) ), product( Z, T, W ) ],
% 1.60/2.01 [ product( a, b, identity ) ],
% 1.60/2.01 [ product( c, b, identity ) ],
% 1.60/2.01 [ ~( =( a, c ) ) ]
% 1.60/2.01 ] .
% 1.60/2.01
% 1.60/2.01
% 1.60/2.01 percentage equality = 0.105263, percentage horn = 1.000000
% 1.60/2.01 This is a problem with some equality
% 1.60/2.01
% 1.60/2.01
% 1.60/2.01
% 1.60/2.01 Options Used:
% 1.60/2.01
% 1.60/2.01 useres = 1
% 1.60/2.01 useparamod = 1
% 1.60/2.01 useeqrefl = 1
% 1.60/2.01 useeqfact = 1
% 1.60/2.01 usefactor = 1
% 1.60/2.01 usesimpsplitting = 0
% 1.60/2.01 usesimpdemod = 5
% 1.60/2.01 usesimpres = 3
% 1.60/2.01
% 1.60/2.01 resimpinuse = 1000
% 1.60/2.01 resimpclauses = 20000
% 1.60/2.01 substype = eqrewr
% 1.60/2.01 backwardsubs = 1
% 1.60/2.01 selectoldest = 5
% 1.60/2.01
% 1.60/2.01 litorderings [0] = split
% 1.60/2.01 litorderings [1] = extend the termordering, first sorting on arguments
% 1.60/2.01
% 1.60/2.01 termordering = kbo
% 1.60/2.01
% 1.60/2.01 litapriori = 0
% 1.60/2.01 termapriori = 1
% 1.60/2.01 litaposteriori = 0
% 1.60/2.01 termaposteriori = 0
% 1.60/2.01 demodaposteriori = 0
% 1.60/2.01 ordereqreflfact = 0
% 1.60/2.01
% 1.60/2.01 litselect = negord
% 1.60/2.01
% 1.60/2.01 maxweight = 15
% 1.60/2.01 maxdepth = 30000
% 1.60/2.01 maxlength = 115
% 1.60/2.01 maxnrvars = 195
% 1.60/2.01 excuselevel = 1
% 1.60/2.01 increasemaxweight = 1
% 1.60/2.01
% 1.60/2.01 maxselected = 10000000
% 1.60/2.01 maxnrclauses = 10000000
% 1.60/2.01
% 1.60/2.01 showgenerated = 0
% 1.60/2.01 showkept = 0
% 1.60/2.01 showselected = 0
% 1.60/2.01 showdeleted = 0
% 1.60/2.01 showresimp = 1
% 1.60/2.01 showstatus = 2000
% 1.60/2.01
% 1.60/2.01 prologoutput = 1
% 1.60/2.01 nrgoals = 5000000
% 1.60/2.01 totalproof = 1
% 1.60/2.01
% 1.60/2.01 Symbols occurring in the translation:
% 1.60/2.01
% 1.60/2.01 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.60/2.01 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 1.60/2.01 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 1.60/2.01 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.60/2.01 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.60/2.01 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.60/2.01 product [41, 3] (w:1, o:51, a:1, s:1, b:0),
% 1.60/2.01 inverse [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 1.60/2.01 multiply [44, 2] (w:1, o:50, a:1, s:1, b:0),
% 1.60/2.01 a [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.60/2.01 b [50, 0] (w:1, o:17, a:1, s:1, b:0),
% 1.60/2.01 c [51, 0] (w:1, o:18, a:1, s:1, b:0).
% 1.60/2.01
% 1.60/2.01
% 1.60/2.01 Starting Search:
% 1.60/2.01
% 1.60/2.01 Resimplifying inuse:
% 1.60/2.01 Done
% 1.60/2.01
% 1.60/2.01
% 1.60/2.01 Intermediate Status:
% 1.60/2.01 Generated: 8396
% 1.60/2.01 Kept: 2000
% 1.60/2.01 Inuse: 119
% 1.60/2.01 Deleted: 12
% 1.60/2.01 Deletedinuse: 0
% 1.60/2.01
% 1.60/2.01 Resimplifying inuse:
% 1.60/2.01 Done
% 1.60/2.01
% 1.60/2.01 Resimplifying inuse:
% 1.60/2.01 Done
% 1.60/2.01
% 1.60/2.01
% 1.60/2.01 Intermediate Status:
% 1.60/2.01 Generated: 14800
% 1.60/2.01 Kept: 4018
% 1.60/2.01 Inuse: 171
% 1.60/2.01 Deleted: 36
% 1.60/2.01 Deletedinuse: 22
% 1.60/2.01
% 1.60/2.01 Resimplifying inuse:
% 1.60/2.01 Done
% 1.60/2.01
% 1.60/2.01 Resimplifying inuse:
% 1.60/2.01 Done
% 1.60/2.01
% 1.60/2.01
% 1.60/2.01 Intermediate Status:
% 1.60/2.01 Generated: 26942
% 1.60/2.01 Kept: 6155
% 1.60/2.01 Inuse: 249
% 1.60/2.01 Deleted: 48
% 1.60/2.01 Deletedinuse: 23
% 1.60/2.01
% 1.60/2.01 Resimplifying inuse:
% 1.60/2.01 Done
% 1.60/2.01
% 1.60/2.01 Resimplifying inuse:
% 1.60/2.01 Done
% 1.60/2.01
% 1.60/2.01
% 1.60/2.01 Intermediate Status:
% 1.60/2.01 Generated: 41979
% 1.60/2.01 Kept: 8161
% 1.60/2.01 Inuse: 301
% 1.60/2.01 Deleted: 60
% 1.60/2.01 Deletedinuse: 31
% 1.60/2.01
% 1.60/2.01 Resimplifying inuse:
% 1.60/2.01 Done
% 1.60/2.01
% 1.60/2.01
% 1.60/2.01 Bliksems!, er is een bewijs:
% 1.60/2.01 % SZS status Unsatisfiable
% 1.60/2.01 % SZS output start Refutation
% 1.60/2.01
% 1.60/2.01 clause( 0, [ product( identity, X, X ) ] )
% 1.60/2.01 .
% 1.60/2.01 clause( 1, [ product( X, identity, X ) ] )
% 1.60/2.01 .
% 1.60/2.01 clause( 2, [ product( inverse( X ), X, identity ) ] )
% 1.60/2.01 .
% 1.60/2.01 clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.60/2.01 .
% 1.60/2.01 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 1.60/2.01 )
% 1.60/2.01 .
% 1.60/2.01 clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 1.60/2.01 Z, T, W ) ), product( X, U, W ) ] )
% 1.60/2.01 .
% 1.60/2.01 clause( 7, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 1.60/2.01 X, U, W ) ), product( Z, T, W ) ] )
% 1.60/2.01 .
% 1.60/2.01 clause( 8, [ product( a, b, identity ) ] )
% 1.60/2.01 .
% 1.60/2.01 clause( 9, [ product( c, b, identity ) ] )
% 1.60/2.01 .
% 1.60/2.01 clause( 10, [ ~( =( c, a ) ) ] )
% 1.60/2.01 .
% 1.60/2.01 clause( 15, [ ~( product( X, Y, Z ) ), ~( product( Y, T, Y ) ), product( Z
% 1.60/2.01 , T, Z ) ] )
% 1.60/2.01 .
% 1.60/2.01 clause( 17, [ ~( product( X, Y, Z ) ), =( multiply( X, Y ), Z ) ] )
% 1.60/2.01 .
% 1.60/2.01 clause( 22, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 1.60/2.01 .
% 1.60/2.01 clause( 23, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 1.60/2.01 .
% 1.60/2.01 clause( 39, [ =( multiply( identity, X ), X ) ] )
% 1.60/2.01 .
% 1.60/2.01 clause( 83, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), product( X
% 1.60/2.01 , U, multiply( Z, T ) ) ] )
% 1.60/2.01 .
% 1.60/2.01 clause( 217, [ ~( =( X, a ) ), ~( product( c, identity, X ) ) ] )
% 1.60/2.01 .
% 1.60/2.01 clause( 220, [ ~( product( c, identity, a ) ) ] )
% 1.60/2.01 .
% 1.60/2.01 clause( 631, [ ~( product( X, Y, X ) ), product( identity, Y, identity ) ]
% 1.60/2.01 )
% 1.60/2.01 .
% 1.60/2.01 clause( 1631, [ ~( product( X, Y, X ) ), =( Y, identity ) ] )
% 1.60/2.01 .
% 1.60/2.01 clause( 1712, [ ~( product( c, X, a ) ), ~( product( Y, X, Y ) ) ] )
% 1.60/2.01 .
% 1.60/2.01 clause( 8395, [ ~( product( b, X, Y ) ), product( a, Y, X ) ] )
% 1.60/2.01 .
% 1.60/2.01 clause( 8397, [ ~( product( b, X, Y ) ), product( c, Y, X ) ] )
% 1.60/2.01 .
% 1.60/2.01 clause( 8454, [ ~( product( b, a, X ) ) ] )
% 1.60/2.01 .
% 1.60/2.01 clause( 8542, [] )
% 1.60/2.01 .
% 1.60/2.01
% 1.60/2.01
% 1.60/2.01 % SZS output end Refutation
% 1.60/2.01 found a proof!
% 1.60/2.01
% 1.60/2.01 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.60/2.01
% 1.60/2.01 initialclauses(
% 1.60/2.01 [ clause( 8544, [ product( identity, X, X ) ] )
% 1.60/2.01 , clause( 8545, [ product( X, identity, X ) ] )
% 1.60/2.01 , clause( 8546, [ product( inverse( X ), X, identity ) ] )
% 1.60/2.01 , clause( 8547, [ product( X, inverse( X ), identity ) ] )
% 1.60/2.01 , clause( 8548, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.60/2.01 , clause( 8549, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 1.60/2.01 ) ] )
% 1.60/2.01 , clause( 8550, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 1.60/2.01 product( Z, T, W ) ), product( X, U, W ) ] )
% 1.60/2.01 , clause( 8551, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 1.60/2.01 product( X, U, W ) ), product( Z, T, W ) ] )
% 1.60/2.01 , clause( 8552, [ product( a, b, identity ) ] )
% 1.60/2.01 , clause( 8553, [ product( c, b, identity ) ] )
% 1.60/2.01 , clause( 8554, [ ~( =( a, c ) ) ] )
% 1.60/2.01 ] ).
% 1.60/2.01
% 1.60/2.01
% 1.60/2.01
% 1.60/2.01 subsumption(
% 1.60/2.01 clause( 0, [ product( identity, X, X ) ] )
% 1.60/2.01 , clause( 8544, [ product( identity, X, X ) ] )
% 1.60/2.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.60/2.01
% 1.60/2.01
% 1.60/2.01 subsumption(
% 1.60/2.01 clause( 1, [ product( X, identity, X ) ] )
% 1.60/2.01 , clause( 8545, [ product( X, identity, X ) ] )
% 1.60/2.01 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.60/2.01
% 1.60/2.01
% 1.60/2.01 subsumption(
% 1.60/2.01 clause( 2, [ product( inverse( X ), X, identity ) ] )
% 1.60/2.01 , clause( 8546, [ product( inverse( X ), X, identity ) ] )
% 1.60/2.02 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.60/2.02
% 1.60/2.02
% 1.60/2.02 subsumption(
% 1.60/2.02 clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.60/2.02 , clause( 8548, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.60/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.60/2.02 )] ) ).
% 1.60/2.02
% 1.60/2.02
% 1.60/2.02 subsumption(
% 1.60/2.02 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 1.60/2.02 )
% 1.60/2.02 , clause( 8549, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 1.60/2.02 ) ] )
% 1.60/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.60/2.02 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.60/2.02
% 1.60/2.02
% 1.60/2.02 subsumption(
% 1.60/2.02 clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 1.60/2.02 Z, T, W ) ), product( X, U, W ) ] )
% 1.60/2.02 , clause( 8550, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 1.60/2.02 product( Z, T, W ) ), product( X, U, W ) ] )
% 1.60/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.60/2.02 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.60/2.02 , 2 ), ==>( 3, 3 )] ) ).
% 1.60/2.02
% 1.60/2.02
% 1.60/2.02 subsumption(
% 1.60/2.02 clause( 7, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 1.60/2.02 X, U, W ) ), product( Z, T, W ) ] )
% 1.60/2.02 , clause( 8551, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 1.60/2.02 product( X, U, W ) ), product( Z, T, W ) ] )
% 1.60/2.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.60/2.02 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.60/2.02 , 2 ), ==>( 3, 3 )] ) ).
% 1.60/2.02
% 1.60/2.02
% 1.60/2.02 subsumption(
% 1.60/2.02 clause( 8, [ product( a, b, identity ) ] )
% 1.60/2.02 , clause( 8552, [ product( a, b, identity ) ] )
% 1.60/2.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.60/2.02
% 1.60/2.02
% 1.60/2.02 subsumption(
% 1.60/2.02 clause( 9, [ product( c, b, identity ) ] )
% 1.60/2.02 , clause( 8553, [ product( c, b, identity ) ] )
% 1.60/2.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.60/2.02
% 1.60/2.02
% 1.60/2.02 eqswap(
% 1.60/2.02 clause( 8597, [ ~( =( c, a ) ) ] )
% 1.60/2.02 , clause( 8554, [ ~( =( a, c ) ) ] )
% 1.60/2.02 , 0, substitution( 0, [] )).
% 1.60/2.02
% 1.60/2.02
% 1.60/2.02 subsumption(
% 1.60/2.02 clause( 10, [ ~( =( c, a ) ) ] )
% 1.60/2.02 , clause( 8597, [ ~( =( c, a ) ) ] )
% 1.60/2.02 , substitution( 0, [] ), permutation( Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------