TSTP Solution File: GRP018-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP018-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 07:34:20 EDT 2022
% Result : Unsatisfiable 0.75s 1.14s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP018-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n011.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 07:02:04 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.75/1.14 *** allocated 10000 integers for termspace/termends
% 0.75/1.14 *** allocated 10000 integers for clauses
% 0.75/1.14 *** allocated 10000 integers for justifications
% 0.75/1.14 Bliksem 1.12
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 Automatic Strategy Selection
% 0.75/1.14
% 0.75/1.14 Clauses:
% 0.75/1.14 [
% 0.75/1.14 [ product( identity, X, X ) ],
% 0.75/1.14 [ product( X, identity, X ) ],
% 0.75/1.14 [ product( inverse( X ), X, identity ) ],
% 0.75/1.14 [ product( X, inverse( X ), identity ) ],
% 0.75/1.14 [ product( X, Y, multiply( X, Y ) ) ],
% 0.75/1.14 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 0.75/1.14 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.75/1.14 ) ), product( X, U, W ) ],
% 0.75/1.14 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.75/1.14 ) ), product( Z, T, W ) ],
% 0.75/1.14 [ ~( =( multiply( a, identity ), a ) ) ]
% 0.75/1.14 ] .
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 percentage equality = 0.117647, percentage horn = 1.000000
% 0.75/1.14 This is a problem with some equality
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 Options Used:
% 0.75/1.14
% 0.75/1.14 useres = 1
% 0.75/1.14 useparamod = 1
% 0.75/1.14 useeqrefl = 1
% 0.75/1.14 useeqfact = 1
% 0.75/1.14 usefactor = 1
% 0.75/1.14 usesimpsplitting = 0
% 0.75/1.14 usesimpdemod = 5
% 0.75/1.14 usesimpres = 3
% 0.75/1.14
% 0.75/1.14 resimpinuse = 1000
% 0.75/1.14 resimpclauses = 20000
% 0.75/1.14 substype = eqrewr
% 0.75/1.14 backwardsubs = 1
% 0.75/1.14 selectoldest = 5
% 0.75/1.14
% 0.75/1.14 litorderings [0] = split
% 0.75/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.14
% 0.75/1.14 termordering = kbo
% 0.75/1.14
% 0.75/1.14 litapriori = 0
% 0.75/1.14 termapriori = 1
% 0.75/1.14 litaposteriori = 0
% 0.75/1.14 termaposteriori = 0
% 0.75/1.14 demodaposteriori = 0
% 0.75/1.14 ordereqreflfact = 0
% 0.75/1.14
% 0.75/1.14 litselect = negord
% 0.75/1.14
% 0.75/1.14 maxweight = 15
% 0.75/1.14 maxdepth = 30000
% 0.75/1.14 maxlength = 115
% 0.75/1.14 maxnrvars = 195
% 0.75/1.14 excuselevel = 1
% 0.75/1.14 increasemaxweight = 1
% 0.75/1.14
% 0.75/1.14 maxselected = 10000000
% 0.75/1.14 maxnrclauses = 10000000
% 0.75/1.14
% 0.75/1.14 showgenerated = 0
% 0.75/1.14 showkept = 0
% 0.75/1.14 showselected = 0
% 0.75/1.14 showdeleted = 0
% 0.75/1.14 showresimp = 1
% 0.75/1.14 showstatus = 2000
% 0.75/1.14
% 0.75/1.14 prologoutput = 1
% 0.75/1.14 nrgoals = 5000000
% 0.75/1.14 totalproof = 1
% 0.75/1.14
% 0.75/1.14 Symbols occurring in the translation:
% 0.75/1.14
% 0.75/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.14 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.75/1.14 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.75/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.14 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.75/1.14 product [41, 3] (w:1, o:49, a:1, s:1, b:0),
% 0.75/1.14 inverse [42, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.75/1.14 multiply [44, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.75/1.14 a [49, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 Starting Search:
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 Bliksems!, er is een bewijs:
% 0.75/1.14 % SZS status Unsatisfiable
% 0.75/1.14 % SZS output start Refutation
% 0.75/1.14
% 0.75/1.14 clause( 0, [ product( identity, X, X ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 1, [ product( X, identity, X ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.75/1.14 )
% 0.75/1.14 .
% 0.75/1.14 clause( 8, [ ~( =( multiply( a, identity ), a ) ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 18, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 19, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 39, [ ~( =( X, a ) ), ~( product( identity, X, multiply( a,
% 0.75/1.14 identity ) ) ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 56, [ ~( product( identity, a, multiply( a, identity ) ) ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 126, [ =( multiply( X, identity ), X ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 133, [ ~( product( a, identity, X ) ) ] )
% 0.75/1.14 .
% 0.75/1.14 clause( 191, [] )
% 0.75/1.14 .
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 % SZS output end Refutation
% 0.75/1.14 found a proof!
% 0.75/1.14
% 0.75/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.14
% 0.75/1.14 initialclauses(
% 0.75/1.14 [ clause( 193, [ product( identity, X, X ) ] )
% 0.75/1.14 , clause( 194, [ product( X, identity, X ) ] )
% 0.75/1.14 , clause( 195, [ product( inverse( X ), X, identity ) ] )
% 0.75/1.14 , clause( 196, [ product( X, inverse( X ), identity ) ] )
% 0.75/1.14 , clause( 197, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.75/1.14 , clause( 198, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.75/1.14 ) ] )
% 0.75/1.14 , clause( 199, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.75/1.14 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.75/1.14 , clause( 200, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.75/1.14 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.75/1.14 , clause( 201, [ ~( =( multiply( a, identity ), a ) ) ] )
% 0.75/1.14 ] ).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 subsumption(
% 0.75/1.14 clause( 0, [ product( identity, X, X ) ] )
% 0.75/1.14 , clause( 193, [ product( identity, X, X ) ] )
% 0.75/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 subsumption(
% 0.75/1.14 clause( 1, [ product( X, identity, X ) ] )
% 281.50/281.91 , clause( 194, [ product( X, identity, X ) ] )
% 281.50/281.91 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 281.50/281.91
% 281.50/281.91
% 281.50/281.91 subsumption(
% 281.50/281.91 clause( 4, [ product( X, Y, multiply( X, Y ) ) ] )
% 281.50/281.91 , clause( 197, [ product( X, Y, multiply( X, Y ) ) ] )
% 281.50/281.91 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 281.50/281.91 )] ) ).
% 281.50/281.91
% 281.50/281.91
% 281.50/281.91 subsumption(
% 281.50/281.91 clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 281.50/281.91 )
% 281.50/281.91 , clause( 198, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 281.50/281.91 ) ] )
% 281.50/281.91 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 281.50/281.91 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 281.50/281.91
% 281.50/281.91
% 281.50/281.91 subsumption(
% 281.50/281.91 clause( 8, [ ~( =( multiply( a, identity ), a ) ) ] )
% 281.50/281.91 , clause( 201, [ ~( =( multiply( a, identity ), a ) ) ] )
% 281.50/281.91 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 281.50/281.91
% 281.50/281.91
% 281.50/281.91 resolution(
% 281.50/281.91 clause( 213, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 281.50/281.91 , clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 281.50/281.91 ] )
% 281.50/281.91 , 0, clause( 0, [ product( identity, X, X ) ] )
% 281.50/281.91 , 0, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, X ), :=( T, Y
% 281.50/281.91 )] ), substitution( 1, [ :=( X, X )] )).
% 281.50/281.91
% 281.50/281.91
% 281.50/281.91 subsumption(
% 281.50/281.91 clause( 18, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 281.50/281.91 , clause( 213, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 281.50/281.91 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 281.50/281.91 ), ==>( 1, 1 )] ) ).
% 281.50/281.91
% 281.50/281.91
% 281.50/281.91 resolution(
% 281.50/281.91 clause( 215, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 281.50/281.91 , clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 281.50/281.91 ] )
% 281.50/281.91 , 0, clause( 1, [ product( X, identity, X ) ] )
% 281.50/281.91 , 0, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, X ), :=( T, Y
% 281.50/281.91 )] ), substitution( 1, [ :=( X, X )] )).
% 281.50/281.91
% 281.50/281.91
% 281.50/281.91 subsumption(
% 281.50/281.91 clause( 19, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 281.50/281.91 , clause( 215, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 281.50/281.91 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 281.50/281.91 ), ==>( 1, 1 )] ) ).
% 281.50/281.91
% 281.50/281.91
% 281.50/281.91 eqswap(
% 281.50/281.91 clause( 217, [ =( Y, X ), ~( product( identity, X, Y ) ) ] )
% 281.50/281.91 , clause( 18, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 281.50/281.91 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 281.50/281.91
% 281.50/281.91
% 281.50/281.91 eqswap(
% 281.50/281.91 clause( 218, [ ~( =( a, multiply( a, identity ) ) ) ] )
% 281.50/281.91 , clause( 8, [ ~( =( multiply( a, identity ), a ) ) ] )
% 281.50/281.91 , 0, substitution( 0, [] )).
% 281.50/281.91
% 281.50/281.91
% 281.50/281.91 paramod(
% 281.50/281.91 clause( 221, [ ~( =( a, X ) ), ~( product( identity, X, multiply( a,
% 281.50/281.91 identity ) ) ) ] )
% 281.50/281.91 , clause( 217, [ =( Y, X ), ~( product( identity, X, Y ) ) ] )
% 281.50/281.91 , 0, clause( 218, [ ~( =( a, multiply( a, identity ) ) ) ] )
% 281.50/281.91 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, multiply( a, identity ) )] )
% 281.50/281.91 , substitution( 1, [] )).
% 281.50/281.91
% 281.50/281.91
% 281.50/281.91 eqswap(
% 281.50/281.91 clause( 320, [ ~( =( X, a ) ), ~( product( identity, X, multiply( a,
% 281.50/281.91 identity ) ) ) ] )
% 281.50/281.91 , clause( 221, [ ~( =( a, X ) ), ~( product( identity, X, multiply( a,
% 281.50/281.91 identity ) ) ) ] )
% 281.50/281.91 , 0, substitution( 0, [ :=( X, X )] )).
% 281.50/281.91
% 281.50/281.91
% 281.50/281.91 subsumption(
% 281.50/281.91 clause( 39, [ ~( =( X, a ) ), ~( product( identity, X, multiply( a,
% 281.50/281.91 identity ) ) ) ] )
% 281.50/281.91 , clause( 320, [ ~( =( X, a ) ), ~( product( identity, X, multiply( a,
% 281.50/281.91 identity ) ) ) ] )
% 281.50/281.91 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 281.50/281.91 1 )] ) ).
% 281.50/281.91
% 281.50/281.91
% 281.50/281.91 eqswap(
% 281.50/281.91 clause( 67720, [ ~( =( a, X ) ), ~( product( identity, X, multiply( a,
% 281.50/281.91 identity ) ) ) ] )
% 281.50/281.91 , clause( 39, [ ~( =( X, a ) ), ~( product( identity, X, multiply( a,
% 281.50/281.91 identity ) ) ) ] )
% 281.50/281.91 , 0, substitution( 0, [ :=( X, X )] )).
% 281.50/281.91
% 281.50/281.91
% 281.50/281.91 eqrefl(
% 281.50/281.91 clause( 67721, [ ~( product( identity, a, multiply( a, identity ) ) ) ] )
% 281.50/281.91 , clause( 67720, [ ~( =( a, X ) ), ~( product( identity, X, multiply( a,
% 281.50/281.91 identity ) ) ) ] )
% 281.50/281.91 , 0, substitution( 0, [ :=( X, a )] )).
% 281.50/281.91
% 281.50/281.91
% 281.50/281.91 subsumption(
% 281.50/281.91 clause( 56, [ ~( product( identity, a, multiply( a, identity ) ) ) ] )
% 281.50/281.91 , clause( 67721, [ ~( product( identity, a, multiply( a, identity ) ) ) ]
% 281.50/281.91 )
% 281.50/281.91 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 281.50/281.91
% 281.50/281.91
% 281.50/281.91 eqswap(
% 281.50/281.91 clause( 67722, [ =( Y, X ), ~( product( X, identity, Y ) ) ] )
% 281.50/281.91 , clause( 19, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 281.50/281.91 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 281.50/281.91
% 281.50/281.91
% 281.50/281.91 resolution(
% 281.50/281.91 clause( 67723, [ =( multiply( X, identity ), X ) ] )
% 281.50/281.91 , Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------