TSTP Solution File: GRP001-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 07:34:11 EDT 2022
% Result : Unsatisfiable 1.62s 2.03s
% Output : Refutation 1.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n021.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 : Tue Jun 14 04:49:27 EDT 2022
% 0.13/0.36 % CPUTime :
% 1.62/2.03 *** allocated 10000 integers for termspace/termends
% 1.62/2.03 *** allocated 10000 integers for clauses
% 1.62/2.03 *** allocated 10000 integers for justifications
% 1.62/2.03 Bliksem 1.12
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 Automatic Strategy Selection
% 1.62/2.03
% 1.62/2.03 Clauses:
% 1.62/2.03 [
% 1.62/2.03 [ product( identity, X, X ) ],
% 1.62/2.03 [ product( X, identity, X ) ],
% 1.62/2.03 [ product( inverse( X ), X, identity ) ],
% 1.62/2.03 [ product( X, inverse( X ), identity ) ],
% 1.62/2.03 [ product( X, Y, multiply( X, Y ) ) ],
% 1.62/2.03 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 1.62/2.03 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 1.62/2.03 ) ), product( X, U, W ) ],
% 1.62/2.03 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 1.62/2.03 ) ), product( Z, T, W ) ],
% 1.62/2.03 [ product( X, X, identity ) ],
% 1.62/2.03 [ product( a, b, c ) ],
% 1.62/2.03 [ ~( product( b, a, c ) ) ]
% 1.62/2.03 ] .
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 percentage equality = 0.052632, percentage horn = 1.000000
% 1.62/2.03 This is a problem with some equality
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 Options Used:
% 1.62/2.03
% 1.62/2.03 useres = 1
% 1.62/2.03 useparamod = 1
% 1.62/2.03 useeqrefl = 1
% 1.62/2.03 useeqfact = 1
% 1.62/2.03 usefactor = 1
% 1.62/2.03 usesimpsplitting = 0
% 1.62/2.03 usesimpdemod = 5
% 1.62/2.03 usesimpres = 3
% 1.62/2.03
% 1.62/2.03 resimpinuse = 1000
% 1.62/2.03 resimpclauses = 20000
% 1.62/2.03 substype = eqrewr
% 1.62/2.03 backwardsubs = 1
% 1.62/2.03 selectoldest = 5
% 1.62/2.03
% 1.62/2.03 litorderings [0] = split
% 1.62/2.03 litorderings [1] = extend the termordering, first sorting on arguments
% 1.62/2.03
% 1.62/2.03 termordering = kbo
% 1.62/2.03
% 1.62/2.03 litapriori = 0
% 1.62/2.03 termapriori = 1
% 1.62/2.03 litaposteriori = 0
% 1.62/2.03 termaposteriori = 0
% 1.62/2.03 demodaposteriori = 0
% 1.62/2.03 ordereqreflfact = 0
% 1.62/2.03
% 1.62/2.03 litselect = negord
% 1.62/2.03
% 1.62/2.03 maxweight = 15
% 1.62/2.03 maxdepth = 30000
% 1.62/2.03 maxlength = 115
% 1.62/2.03 maxnrvars = 195
% 1.62/2.03 excuselevel = 1
% 1.62/2.03 increasemaxweight = 1
% 1.62/2.03
% 1.62/2.03 maxselected = 10000000
% 1.62/2.03 maxnrclauses = 10000000
% 1.62/2.03
% 1.62/2.03 showgenerated = 0
% 1.62/2.03 showkept = 0
% 1.62/2.03 showselected = 0
% 1.62/2.03 showdeleted = 0
% 1.62/2.03 showresimp = 1
% 1.62/2.03 showstatus = 2000
% 1.62/2.03
% 1.62/2.03 prologoutput = 1
% 1.62/2.03 nrgoals = 5000000
% 1.62/2.03 totalproof = 1
% 1.62/2.03
% 1.62/2.03 Symbols occurring in the translation:
% 1.62/2.03
% 1.62/2.03 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.62/2.03 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 1.62/2.03 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 1.62/2.03 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.62/2.03 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.62/2.03 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.62/2.03 product [41, 3] (w:1, o:51, a:1, s:1, b:0),
% 1.62/2.03 inverse [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 1.62/2.03 multiply [44, 2] (w:1, o:50, a:1, s:1, b:0),
% 1.62/2.03 a [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.62/2.03 b [50, 0] (w:1, o:17, a:1, s:1, b:0),
% 1.62/2.03 c [51, 0] (w:1, o:18, a:1, s:1, b:0).
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 Starting Search:
% 1.62/2.03
% 1.62/2.03 Resimplifying inuse:
% 1.62/2.03 Done
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 Intermediate Status:
% 1.62/2.03 Generated: 7281
% 1.62/2.03 Kept: 2020
% 1.62/2.03 Inuse: 115
% 1.62/2.03 Deleted: 15
% 1.62/2.03 Deletedinuse: 12
% 1.62/2.03
% 1.62/2.03 Resimplifying inuse:
% 1.62/2.03 Done
% 1.62/2.03
% 1.62/2.03 Resimplifying inuse:
% 1.62/2.03 Done
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 Intermediate Status:
% 1.62/2.03 Generated: 16875
% 1.62/2.03 Kept: 4034
% 1.62/2.03 Inuse: 202
% 1.62/2.03 Deleted: 28
% 1.62/2.03 Deletedinuse: 12
% 1.62/2.03
% 1.62/2.03 Resimplifying inuse:
% 1.62/2.03 Done
% 1.62/2.03
% 1.62/2.03 Resimplifying inuse:
% 1.62/2.03 Done
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 Intermediate Status:
% 1.62/2.03 Generated: 33613
% 1.62/2.03 Kept: 6045
% 1.62/2.03 Inuse: 292
% 1.62/2.03 Deleted: 57
% 1.62/2.03 Deletedinuse: 20
% 1.62/2.03
% 1.62/2.03 Resimplifying inuse:
% 1.62/2.03 Done
% 1.62/2.03
% 1.62/2.03 Resimplifying inuse:
% 1.62/2.03 Done
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 Intermediate Status:
% 1.62/2.03 Generated: 41399
% 1.62/2.03 Kept: 8045
% 1.62/2.03 Inuse: 326
% 1.62/2.03 Deleted: 81
% 1.62/2.03 Deletedinuse: 22
% 1.62/2.03
% 1.62/2.03 Resimplifying inuse:
% 1.62/2.03 Done
% 1.62/2.03
% 1.62/2.03 Resimplifying inuse:
% 1.62/2.03 Done
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 Bliksems!, er is een bewijs:
% 1.62/2.03 % SZS status Unsatisfiable
% 1.62/2.03 % SZS output start Refutation
% 1.62/2.03
% 1.62/2.03 clause( 0, [ product( identity, X, X ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 1, [ product( X, identity, X ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 1.62/2.03 )
% 1.62/2.03 .
% 1.62/2.03 clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 1.62/2.03 Z, T, W ) ), product( X, U, W ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 8, [ product( X, X, identity ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 9, [ product( a, b, c ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 10, [ ~( product( b, a, c ) ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 13, [ ~( product( X, Y, Y ) ), ~( product( Y, Z, T ) ), product( X
% 1.62/2.03 , T, T ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 17, [ ~( product( X, Y, Z ) ), =( multiply( X, Y ), Z ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 21, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 22, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 57, [ product( a, X, c ), ~( product( identity, b, X ) ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 66, [ ~( product( b, a, X ) ), ~( product( identity, X, c ) ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 83, [ ~( product( inverse( X ), Y, Z ) ), ~( product( identity, Y,
% 1.62/2.03 T ) ), product( X, Z, T ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 99, [ ~( product( X, Y, Z ) ), ~( product( identity, Y, T ) ),
% 1.62/2.03 product( X, Z, T ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 100, [ ~( product( X, Y, Z ) ), ~( product( Z, Y, T ) ), product( X
% 1.62/2.03 , identity, T ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 125, [ =( multiply( X, identity ), X ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 339, [ ~( product( X, Y, Y ) ), product( X, identity, identity ) ]
% 1.62/2.03 )
% 1.62/2.03 .
% 1.62/2.03 clause( 4517, [ ~( product( X, Y, Y ) ), =( X, identity ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 4785, [ product( Y, Y, X ), ~( product( X, Z, Z ) ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 7448, [ ~( product( identity, inverse( X ), Y ) ), product( X, Z, Y
% 1.62/2.03 ), ~( product( Z, T, T ) ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 7456, [ ~( product( inverse( b ), X, a ) ), ~( product( identity, X
% 1.62/2.03 , Y ) ), ~( product( identity, Y, c ) ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 7689, [ ~( product( inverse( b ), c, a ) ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 7690, [ product( X, identity, inverse( X ) ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 7773, [ =( inverse( X ), X ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 8185, [ ~( product( b, c, a ) ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 8327, [ ~( product( b, c, X ) ), ~( product( a, identity, X ) ) ]
% 1.62/2.03 )
% 1.62/2.03 .
% 1.62/2.03 clause( 9771, [ ~( product( identity, X, Y ) ), product( a, c, Y ), ~(
% 1.62/2.03 product( identity, b, X ) ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 9819, [ product( a, c, b ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 9874, [ ~( product( b, c, X ) ) ] )
% 1.62/2.03 .
% 1.62/2.03 clause( 10005, [] )
% 1.62/2.03 .
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 % SZS output end Refutation
% 1.62/2.03 found a proof!
% 1.62/2.03
% 1.62/2.03 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.62/2.03
% 1.62/2.03 initialclauses(
% 1.62/2.03 [ clause( 10007, [ product( identity, X, X ) ] )
% 1.62/2.03 , clause( 10008, [ product( X, identity, X ) ] )
% 1.62/2.03 , clause( 10009, [ product( inverse( X ), X, identity ) ] )
% 1.62/2.03 , clause( 10010, [ product( X, inverse( X ), identity ) ] )
% 1.62/2.03 , clause( 10011, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.62/2.03 , clause( 10012, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 1.62/2.03 T ) ] )
% 1.62/2.03 , clause( 10013, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 1.62/2.03 product( Z, T, W ) ), product( X, U, W ) ] )
% 1.62/2.03 , clause( 10014, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 1.62/2.03 product( X, U, W ) ), product( Z, T, W ) ] )
% 1.62/2.03 , clause( 10015, [ product( X, X, identity ) ] )
% 1.62/2.03 , clause( 10016, [ product( a, b, c ) ] )
% 1.62/2.03 , clause( 10017, [ ~( product( b, a, c ) ) ] )
% 1.62/2.03 ] ).
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 subsumption(
% 1.62/2.03 clause( 0, [ product( identity, X, X ) ] )
% 1.62/2.03 , clause( 10007, [ product( identity, X, X ) ] )
% 1.62/2.03 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 subsumption(
% 1.62/2.03 clause( 1, [ product( X, identity, X ) ] )
% 1.62/2.03 , clause( 10008, [ product( X, identity, X ) ] )
% 1.62/2.03 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 subsumption(
% 1.62/2.03 clause( 3, [ product( X, inverse( X ), identity ) ] )
% 1.62/2.03 , clause( 10010, [ product( X, inverse( X ), identity ) ] )
% 1.62/2.03 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 subsumption(
% 1.62/2.03 clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.62/2.03 , clause( 10011, [ product( X, Y, multiply( X, Y ) ) ] )
% 1.62/2.03 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.62/2.03 )] ) ).
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 subsumption(
% 1.62/2.03 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 1.62/2.03 )
% 1.62/2.03 , clause( 10012, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z,
% 1.62/2.03 T ) ] )
% 1.62/2.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.62/2.03 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 subsumption(
% 1.62/2.03 clause( 6, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 1.62/2.03 Z, T, W ) ), product( X, U, W ) ] )
% 1.62/2.03 , clause( 10013, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 1.62/2.03 product( Z, T, W ) ), product( X, U, W ) ] )
% 1.62/2.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.62/2.03 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.62/2.03 , 2 ), ==>( 3, 3 )] ) ).
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 subsumption(
% 1.62/2.03 clause( 8, [ product( X, X, identity ) ] )
% 1.62/2.03 , clause( 10015, [ product( X, X, identity ) ] )
% 1.62/2.03 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.62/2.03
% 1.62/2.03
% 1.62/2.03 subsumption(
% 1.62/2.03 clause( 9, [ product( a, b, c ) ] )
% 1.62/2.03 , clause( 10016, [ product( a, b, c ) ] )
% 1.62/2.03 , substitution( 0, []Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------