TSTP Solution File: GRP402-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP402-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 07:36:49 EDT 2022
% Result : Unsatisfiable 1.94s 2.32s
% Output : Refutation 1.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP402-1 : TPTP v8.1.0. Released v2.5.0.
% 0.13/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Mon Jun 13 12:10:47 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.94/2.32 *** allocated 10000 integers for termspace/termends
% 1.94/2.32 *** allocated 10000 integers for clauses
% 1.94/2.32 *** allocated 10000 integers for justifications
% 1.94/2.32 Bliksem 1.12
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 Automatic Strategy Selection
% 1.94/2.32
% 1.94/2.32 Clauses:
% 1.94/2.32 [
% 1.94/2.32 [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 1.94/2.32 ],
% 1.94/2.32 [ ~( =( multiply( X, Y ), multiply( Z, Y ) ) ), =( X, Z ) ],
% 1.94/2.32 [ ~( =( multiply( X, Y ), multiply( X, Z ) ) ), =( Y, Z ) ],
% 1.94/2.32 [ =( multiply( X, Y ), multiply( Y, multiply( X, commutator( X, Y ) ) )
% 1.94/2.32 ) ],
% 1.94/2.32 [ =( multiply( commutator( X, Y ), Z ), multiply( Z, commutator( X, Y )
% 1.94/2.32 ) ) ],
% 1.94/2.32 [ ~( =( commutator( commutator( a, b ), c ), commutator( a, commutator(
% 1.94/2.32 b, c ) ) ) ) ]
% 1.94/2.32 ] .
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 percentage equality = 1.000000, percentage horn = 1.000000
% 1.94/2.32 This is a pure equality problem
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 Options Used:
% 1.94/2.32
% 1.94/2.32 useres = 1
% 1.94/2.32 useparamod = 1
% 1.94/2.32 useeqrefl = 1
% 1.94/2.32 useeqfact = 1
% 1.94/2.32 usefactor = 1
% 1.94/2.32 usesimpsplitting = 0
% 1.94/2.32 usesimpdemod = 5
% 1.94/2.32 usesimpres = 3
% 1.94/2.32
% 1.94/2.32 resimpinuse = 1000
% 1.94/2.32 resimpclauses = 20000
% 1.94/2.32 substype = eqrewr
% 1.94/2.32 backwardsubs = 1
% 1.94/2.32 selectoldest = 5
% 1.94/2.32
% 1.94/2.32 litorderings [0] = split
% 1.94/2.32 litorderings [1] = extend the termordering, first sorting on arguments
% 1.94/2.32
% 1.94/2.32 termordering = kbo
% 1.94/2.32
% 1.94/2.32 litapriori = 0
% 1.94/2.32 termapriori = 1
% 1.94/2.32 litaposteriori = 0
% 1.94/2.32 termaposteriori = 0
% 1.94/2.32 demodaposteriori = 0
% 1.94/2.32 ordereqreflfact = 0
% 1.94/2.32
% 1.94/2.32 litselect = negord
% 1.94/2.32
% 1.94/2.32 maxweight = 15
% 1.94/2.32 maxdepth = 30000
% 1.94/2.32 maxlength = 115
% 1.94/2.32 maxnrvars = 195
% 1.94/2.32 excuselevel = 1
% 1.94/2.32 increasemaxweight = 1
% 1.94/2.32
% 1.94/2.32 maxselected = 10000000
% 1.94/2.32 maxnrclauses = 10000000
% 1.94/2.32
% 1.94/2.32 showgenerated = 0
% 1.94/2.32 showkept = 0
% 1.94/2.32 showselected = 0
% 1.94/2.32 showdeleted = 0
% 1.94/2.32 showresimp = 1
% 1.94/2.32 showstatus = 2000
% 1.94/2.32
% 1.94/2.32 prologoutput = 1
% 1.94/2.32 nrgoals = 5000000
% 1.94/2.32 totalproof = 1
% 1.94/2.32
% 1.94/2.32 Symbols occurring in the translation:
% 1.94/2.32
% 1.94/2.32 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.94/2.32 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 1.94/2.32 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 1.94/2.32 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.94/2.32 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.94/2.32 multiply [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 1.94/2.32 commutator [46, 2] (w:1, o:49, a:1, s:1, b:0),
% 1.94/2.32 a [47, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.94/2.32 b [48, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.94/2.32 c [49, 0] (w:1, o:17, a:1, s:1, b:0).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 Starting Search:
% 1.94/2.32
% 1.94/2.32 Resimplifying inuse:
% 1.94/2.32 Done
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 Intermediate Status:
% 1.94/2.32 Generated: 48565
% 1.94/2.32 Kept: 2012
% 1.94/2.32 Inuse: 217
% 1.94/2.32 Deleted: 43
% 1.94/2.32 Deletedinuse: 27
% 1.94/2.32
% 1.94/2.32 Resimplifying inuse:
% 1.94/2.32 Done
% 1.94/2.32
% 1.94/2.32 Resimplifying inuse:
% 1.94/2.32 Done
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 Intermediate Status:
% 1.94/2.32 Generated: 111330
% 1.94/2.32 Kept: 4031
% 1.94/2.32 Inuse: 443
% 1.94/2.32 Deleted: 308
% 1.94/2.32 Deletedinuse: 142
% 1.94/2.32
% 1.94/2.32 Resimplifying inuse:
% 1.94/2.32 Done
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 Bliksems!, er is een bewijs:
% 1.94/2.32 % SZS status Unsatisfiable
% 1.94/2.32 % SZS output start Refutation
% 1.94/2.32
% 1.94/2.32 clause( 0, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 1.94/2.32 , Z ) ) ] )
% 1.94/2.32 .
% 1.94/2.32 clause( 1, [ ~( =( multiply( X, Y ), multiply( Z, Y ) ) ), =( X, Z ) ] )
% 1.94/2.32 .
% 1.94/2.32 clause( 2, [ ~( =( multiply( X, Y ), multiply( X, Z ) ) ), =( Y, Z ) ] )
% 1.94/2.32 .
% 1.94/2.32 clause( 3, [ =( multiply( multiply( Y, X ), commutator( X, Y ) ), multiply(
% 1.94/2.32 X, Y ) ) ] )
% 1.94/2.32 .
% 1.94/2.32 clause( 4, [ =( multiply( commutator( X, Y ), Z ), multiply( Z, commutator(
% 1.94/2.32 X, Y ) ) ) ] )
% 1.94/2.32 .
% 1.94/2.32 clause( 5, [ ~( =( commutator( a, commutator( b, c ) ), commutator(
% 1.94/2.32 commutator( a, b ), c ) ) ) ] )
% 1.94/2.32 .
% 1.94/2.32 clause( 28, [ =( multiply( multiply( commutator( Y, X ), X ), Y ), multiply(
% 1.94/2.32 Y, X ) ) ] )
% 1.94/2.32 .
% 1.94/2.32 clause( 36, [ ~( =( X, commutator( commutator( a, b ), c ) ) ), ~( =(
% 1.94/2.32 multiply( Y, commutator( a, commutator( b, c ) ) ), multiply( Y, X ) ) )
% 1.94/2.32 ] )
% 1.94/2.32 .
% 1.94/2.32 clause( 45, [ ~( =( multiply( X, Y ), multiply( Z, X ) ) ), =( multiply(
% 1.94/2.32 commutator( X, Y ), Y ), Z ) ] )
% 1.94/2.32 .
% 1.94/2.32 clause( 47, [ =( multiply( commutator( X, X ), X ), X ) ] )
% 1.94/2.32 .
% 1.94/2.32 clause( 51, [ =( multiply( X, commutator( X, X ) ), X ) ] )
% 1.94/2.32 .
% 1.94/2.32 clause( 52, [ ~( =( multiply( Y, X ), X ) ), =( commutator( X, X ), Y ) ]
% 1.94/2.32 )
% 1.94/2.32 .
% 1.94/2.32 clause( 56, [ =( multiply( X, commutator( commutator( X, X ), X ) ), X ) ]
% 1.94/2.32 )
% 1.94/2.32 .
% 1.94/2.32 clause( 57, [ =( multiply( multiply( Y, X ), commutator( X, X ) ), multiply(
% 1.94/2.32 Y, X ) ) ] )
% 1.94/2.32 .
% 1.94/2.32 clause( 60, [ ~( =( multiply( X, Y ), X ) ), =( commutator( X, X ), Y ) ]
% 1.94/2.32 )
% 1.94/2.32 .
% 1.94/2.32 clause( 70, [ =( commutator( commutator( X, X ), X ), commutator( X, X ) )
% 1.94/2.32 ] )
% 1.94/2.32 .
% 1.94/2.32 clause( 156, [ =( commutator( multiply( X, Y ), multiply( X, Y ) ),
% 1.94/2.32 commutator( Y, Y ) ) ] )
% 1.94/2.32 .
% 1.94/2.32 clause( 189, [ =( commutator( Y, Y ), commutator( X, X ) ) ] )
% 1.94/2.32 .
% 1.94/2.32 clause( 201, [ ~( =( multiply( Z, X ), X ) ), =( commutator( Y, Y ), Z ) ]
% 1.94/2.32 )
% 1.94/2.32 .
% 1.94/2.32 clause( 202, [ =( commutator( commutator( Y, Y ), X ), commutator( Y, Y ) )
% 1.94/2.32 ] )
% 1.94/2.32 .
% 1.94/2.32 clause( 205, [ =( multiply( X, commutator( Y, Y ) ), X ) ] )
% 1.94/2.32 .
% 1.94/2.32 clause( 1655, [ =( multiply( commutator( commutator( X, Y ), Z ), Z ), Z )
% 1.94/2.32 ] )
% 1.94/2.32 .
% 1.94/2.32 clause( 1870, [ =( commutator( X, X ), commutator( commutator( Y, Z ), T )
% 1.94/2.32 ) ] )
% 1.94/2.32 .
% 1.94/2.32 clause( 1931, [ ~( =( multiply( X, commutator( a, commutator( b, c ) ) ), X
% 1.94/2.32 ) ) ] )
% 1.94/2.32 .
% 1.94/2.32 clause( 2193, [ ~( =( multiply( a, commutator( b, c ) ), multiply(
% 1.94/2.32 commutator( b, c ), a ) ) ) ] )
% 1.94/2.32 .
% 1.94/2.32 clause( 4354, [] )
% 1.94/2.32 .
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 % SZS output end Refutation
% 1.94/2.32 found a proof!
% 1.94/2.32
% 1.94/2.32 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.94/2.32
% 1.94/2.32 initialclauses(
% 1.94/2.32 [ clause( 4356, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 1.94/2.32 Y, Z ) ) ) ] )
% 1.94/2.32 , clause( 4357, [ ~( =( multiply( X, Y ), multiply( Z, Y ) ) ), =( X, Z ) ]
% 1.94/2.32 )
% 1.94/2.32 , clause( 4358, [ ~( =( multiply( X, Y ), multiply( X, Z ) ) ), =( Y, Z ) ]
% 1.94/2.32 )
% 1.94/2.32 , clause( 4359, [ =( multiply( X, Y ), multiply( Y, multiply( X, commutator(
% 1.94/2.32 X, Y ) ) ) ) ] )
% 1.94/2.32 , clause( 4360, [ =( multiply( commutator( X, Y ), Z ), multiply( Z,
% 1.94/2.32 commutator( X, Y ) ) ) ] )
% 1.94/2.32 , clause( 4361, [ ~( =( commutator( commutator( a, b ), c ), commutator( a
% 1.94/2.32 , commutator( b, c ) ) ) ) ] )
% 1.94/2.32 ] ).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 eqswap(
% 1.94/2.32 clause( 4362, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X,
% 1.94/2.32 Y ), Z ) ) ] )
% 1.94/2.32 , clause( 4356, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply(
% 1.94/2.32 Y, Z ) ) ) ] )
% 1.94/2.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 subsumption(
% 1.94/2.32 clause( 0, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 1.94/2.32 , Z ) ) ] )
% 1.94/2.32 , clause( 4362, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 1.94/2.32 , Y ), Z ) ) ] )
% 1.94/2.32 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.94/2.32 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 subsumption(
% 1.94/2.32 clause( 1, [ ~( =( multiply( X, Y ), multiply( Z, Y ) ) ), =( X, Z ) ] )
% 1.94/2.32 , clause( 4357, [ ~( =( multiply( X, Y ), multiply( Z, Y ) ) ), =( X, Z ) ]
% 1.94/2.32 )
% 1.94/2.32 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.94/2.32 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 subsumption(
% 1.94/2.32 clause( 2, [ ~( =( multiply( X, Y ), multiply( X, Z ) ) ), =( Y, Z ) ] )
% 1.94/2.32 , clause( 4358, [ ~( =( multiply( X, Y ), multiply( X, Z ) ) ), =( Y, Z ) ]
% 1.94/2.32 )
% 1.94/2.32 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.94/2.32 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 paramod(
% 1.94/2.32 clause( 4378, [ =( multiply( X, Y ), multiply( multiply( Y, X ), commutator(
% 1.94/2.32 X, Y ) ) ) ] )
% 1.94/2.32 , clause( 0, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 1.94/2.32 ), Z ) ) ] )
% 1.94/2.32 , 0, clause( 4359, [ =( multiply( X, Y ), multiply( Y, multiply( X,
% 1.94/2.32 commutator( X, Y ) ) ) ) ] )
% 1.94/2.32 , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, commutator( X, Y
% 1.94/2.32 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 eqswap(
% 1.94/2.32 clause( 4379, [ =( multiply( multiply( Y, X ), commutator( X, Y ) ),
% 1.94/2.32 multiply( X, Y ) ) ] )
% 1.94/2.32 , clause( 4378, [ =( multiply( X, Y ), multiply( multiply( Y, X ),
% 1.94/2.32 commutator( X, Y ) ) ) ] )
% 1.94/2.32 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 subsumption(
% 1.94/2.32 clause( 3, [ =( multiply( multiply( Y, X ), commutator( X, Y ) ), multiply(
% 1.94/2.32 X, Y ) ) ] )
% 1.94/2.32 , clause( 4379, [ =( multiply( multiply( Y, X ), commutator( X, Y ) ),
% 1.94/2.32 multiply( X, Y ) ) ] )
% 1.94/2.32 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.94/2.32 )] ) ).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 subsumption(
% 1.94/2.32 clause( 4, [ =( multiply( commutator( X, Y ), Z ), multiply( Z, commutator(
% 1.94/2.32 X, Y ) ) ) ] )
% 1.94/2.32 , clause( 4360, [ =( multiply( commutator( X, Y ), Z ), multiply( Z,
% 1.94/2.32 commutator( X, Y ) ) ) ] )
% 1.94/2.32 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.94/2.32 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.94/2.32
% 1.94/2.32
% 1.94/2.32 eqswap(
% 1.94/2.32 clause( 4390, [ ~( =( commutator( a, commutator( b, c ) ), commutator(
% 1.94/2.32 commutator( a, b ), c ) ) ) ] )
% 1.94/2.32 , clause( 4361, [ ~( =( commutator( commutator( a, b ), c ), commutator( Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------