TSTP Solution File: GRP206-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP206-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 07:36:07 EDT 2022
% Result : Unsatisfiable 0.45s 1.08s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP206-1 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n012.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 15:08:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.45/1.08 *** allocated 10000 integers for termspace/termends
% 0.45/1.08 *** allocated 10000 integers for clauses
% 0.45/1.08 *** allocated 10000 integers for justifications
% 0.45/1.08 Bliksem 1.12
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 Automatic Strategy Selection
% 0.45/1.08
% 0.45/1.08 Clauses:
% 0.45/1.08 [
% 0.45/1.08 [ =( multiply( identity, X ), X ) ],
% 0.45/1.08 [ =( multiply( X, identity ), X ) ],
% 0.45/1.08 [ =( multiply( X, 'left_division'( X, Y ) ), Y ) ],
% 0.45/1.08 [ =( 'left_division'( X, multiply( X, Y ) ), Y ) ],
% 0.45/1.08 [ =( multiply( 'right_division'( X, Y ), Y ), X ) ],
% 0.45/1.08 [ =( 'right_division'( multiply( X, Y ), Y ), X ) ],
% 0.45/1.08 [ =( multiply( X, 'right_inverse'( X ) ), identity ) ],
% 0.45/1.08 [ =( multiply( 'left_inverse'( X ), X ), identity ) ],
% 0.45/1.08 [ =( multiply( X, multiply( multiply( Y, Z ), X ) ), multiply( multiply(
% 0.45/1.08 X, Y ), multiply( Z, X ) ) ) ],
% 0.45/1.08 [ ~( =( multiply( multiply( a, multiply( b, c ) ), a ), multiply(
% 0.45/1.08 multiply( a, b ), multiply( c, a ) ) ) ) ]
% 0.45/1.08 ] .
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 percentage equality = 1.000000, percentage horn = 1.000000
% 0.45/1.08 This is a pure equality problem
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 Options Used:
% 0.45/1.08
% 0.45/1.08 useres = 1
% 0.45/1.08 useparamod = 1
% 0.45/1.08 useeqrefl = 1
% 0.45/1.08 useeqfact = 1
% 0.45/1.08 usefactor = 1
% 0.45/1.08 usesimpsplitting = 0
% 0.45/1.08 usesimpdemod = 5
% 0.45/1.08 usesimpres = 3
% 0.45/1.08
% 0.45/1.08 resimpinuse = 1000
% 0.45/1.08 resimpclauses = 20000
% 0.45/1.08 substype = eqrewr
% 0.45/1.08 backwardsubs = 1
% 0.45/1.08 selectoldest = 5
% 0.45/1.08
% 0.45/1.08 litorderings [0] = split
% 0.45/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.45/1.08
% 0.45/1.08 termordering = kbo
% 0.45/1.08
% 0.45/1.08 litapriori = 0
% 0.45/1.08 termapriori = 1
% 0.45/1.08 litaposteriori = 0
% 0.45/1.08 termaposteriori = 0
% 0.45/1.08 demodaposteriori = 0
% 0.45/1.08 ordereqreflfact = 0
% 0.45/1.08
% 0.45/1.08 litselect = negord
% 0.45/1.08
% 0.45/1.08 maxweight = 15
% 0.45/1.08 maxdepth = 30000
% 0.45/1.08 maxlength = 115
% 0.45/1.08 maxnrvars = 195
% 0.45/1.08 excuselevel = 1
% 0.45/1.08 increasemaxweight = 1
% 0.45/1.08
% 0.45/1.08 maxselected = 10000000
% 0.45/1.08 maxnrclauses = 10000000
% 0.45/1.08
% 0.45/1.08 showgenerated = 0
% 0.45/1.08 showkept = 0
% 0.45/1.08 showselected = 0
% 0.45/1.08 showdeleted = 0
% 0.45/1.08 showresimp = 1
% 0.45/1.08 showstatus = 2000
% 0.45/1.08
% 0.45/1.08 prologoutput = 1
% 0.45/1.08 nrgoals = 5000000
% 0.45/1.08 totalproof = 1
% 0.45/1.08
% 0.45/1.08 Symbols occurring in the translation:
% 0.45/1.08
% 0.45/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.45/1.08 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.45/1.08 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.45/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.08 identity [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.45/1.08 multiply [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.45/1.08 'left_division' [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.45/1.08 'right_division' [44, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.45/1.08 'right_inverse' [45, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.45/1.08 'left_inverse' [46, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.45/1.08 a [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.45/1.08 b [49, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.45/1.08 c [50, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 Starting Search:
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 Bliksems!, er is een bewijs:
% 0.45/1.08 % SZS status Unsatisfiable
% 0.45/1.08 % SZS output start Refutation
% 0.45/1.08
% 0.45/1.08 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 1, [ =( multiply( X, identity ), X ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 8, [ =( multiply( X, multiply( multiply( Y, Z ), X ) ), multiply(
% 0.45/1.08 multiply( X, Y ), multiply( Z, X ) ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 9, [ ~( =( multiply( multiply( a, b ), multiply( c, a ) ), multiply(
% 0.45/1.08 multiply( a, multiply( b, c ) ), a ) ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 33, [ =( multiply( Y, multiply( X, Y ) ), multiply( multiply( Y, X
% 0.45/1.08 ), Y ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 34, [ =( multiply( multiply( X, Y ), multiply( Z, X ) ), multiply(
% 0.45/1.08 multiply( X, multiply( Y, Z ) ), X ) ) ] )
% 0.45/1.08 .
% 0.45/1.08 clause( 46, [] )
% 0.45/1.08 .
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 % SZS output end Refutation
% 0.45/1.08 found a proof!
% 0.45/1.08
% 0.45/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.08
% 0.45/1.08 initialclauses(
% 0.45/1.08 [ clause( 48, [ =( multiply( identity, X ), X ) ] )
% 0.45/1.08 , clause( 49, [ =( multiply( X, identity ), X ) ] )
% 0.45/1.08 , clause( 50, [ =( multiply( X, 'left_division'( X, Y ) ), Y ) ] )
% 0.45/1.08 , clause( 51, [ =( 'left_division'( X, multiply( X, Y ) ), Y ) ] )
% 0.45/1.08 , clause( 52, [ =( multiply( 'right_division'( X, Y ), Y ), X ) ] )
% 0.45/1.08 , clause( 53, [ =( 'right_division'( multiply( X, Y ), Y ), X ) ] )
% 0.45/1.08 , clause( 54, [ =( multiply( X, 'right_inverse'( X ) ), identity ) ] )
% 0.45/1.08 , clause( 55, [ =( multiply( 'left_inverse'( X ), X ), identity ) ] )
% 0.45/1.08 , clause( 56, [ =( multiply( X, multiply( multiply( Y, Z ), X ) ), multiply(
% 0.45/1.08 multiply( X, Y ), multiply( Z, X ) ) ) ] )
% 0.45/1.08 , clause( 57, [ ~( =( multiply( multiply( a, multiply( b, c ) ), a ),
% 0.45/1.08 multiply( multiply( a, b ), multiply( c, a ) ) ) ) ] )
% 0.45/1.08 ] ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.45/1.08 , clause( 48, [ =( multiply( identity, X ), X ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 1, [ =( multiply( X, identity ), X ) ] )
% 0.45/1.08 , clause( 49, [ =( multiply( X, identity ), X ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 8, [ =( multiply( X, multiply( multiply( Y, Z ), X ) ), multiply(
% 0.45/1.08 multiply( X, Y ), multiply( Z, X ) ) ) ] )
% 0.45/1.08 , clause( 56, [ =( multiply( X, multiply( multiply( Y, Z ), X ) ), multiply(
% 0.45/1.08 multiply( X, Y ), multiply( Z, X ) ) ) ] )
% 0.45/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 eqswap(
% 0.45/1.08 clause( 79, [ ~( =( multiply( multiply( a, b ), multiply( c, a ) ),
% 0.45/1.08 multiply( multiply( a, multiply( b, c ) ), a ) ) ) ] )
% 0.45/1.08 , clause( 57, [ ~( =( multiply( multiply( a, multiply( b, c ) ), a ),
% 0.45/1.08 multiply( multiply( a, b ), multiply( c, a ) ) ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 subsumption(
% 0.45/1.08 clause( 9, [ ~( =( multiply( multiply( a, b ), multiply( c, a ) ), multiply(
% 0.45/1.08 multiply( a, multiply( b, c ) ), a ) ) ) ] )
% 0.45/1.08 , clause( 79, [ ~( =( multiply( multiply( a, b ), multiply( c, a ) ),
% 0.45/1.08 multiply( multiply( a, multiply( b, c ) ), a ) ) ) ] )
% 0.45/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 eqswap(
% 0.45/1.08 clause( 81, [ =( multiply( multiply( X, Y ), multiply( Z, X ) ), multiply(
% 0.45/1.08 X, multiply( multiply( Y, Z ), X ) ) ) ] )
% 0.45/1.08 , clause( 8, [ =( multiply( X, multiply( multiply( Y, Z ), X ) ), multiply(
% 0.45/1.08 multiply( X, Y ), multiply( Z, X ) ) ) ] )
% 0.45/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.08
% 0.45/1.08
% 0.45/1.08 paramod(
% 0.45/1.08 clause( 86, [ =( multiply( multiply( X, Y ), multiply( identity, X ) ),
% 0.45/1.08 multiply( X, multiply( Y, X ) ) ) ] )
% 0.45/1.08 , clause( 1, [ =( multiply( X, identity ), X ) ] )
% 0.45/1.08 , 0, clause( 81, [ =( multiply( multiply( X, Y ), multiply( Z, X ) ),
% 0.45/1.09 multiply( X, multiply( multiply( Y, Z ), X ) ) ) ] )
% 0.45/1.09 , 0, 11, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ),
% 0.45/1.09 :=( Y, Y ), :=( Z, identity )] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 paramod(
% 0.45/1.09 clause( 88, [ =( multiply( multiply( X, Y ), X ), multiply( X, multiply( Y
% 0.45/1.09 , X ) ) ) ] )
% 0.45/1.09 , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.45/1.09 , 0, clause( 86, [ =( multiply( multiply( X, Y ), multiply( identity, X ) )
% 0.45/1.09 , multiply( X, multiply( Y, X ) ) ) ] )
% 0.45/1.09 , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 0.45/1.09 :=( Y, Y )] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 eqswap(
% 0.45/1.09 clause( 89, [ =( multiply( X, multiply( Y, X ) ), multiply( multiply( X, Y
% 0.45/1.09 ), X ) ) ] )
% 0.45/1.09 , clause( 88, [ =( multiply( multiply( X, Y ), X ), multiply( X, multiply(
% 0.45/1.09 Y, X ) ) ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 33, [ =( multiply( Y, multiply( X, Y ) ), multiply( multiply( Y, X
% 0.45/1.09 ), Y ) ) ] )
% 0.45/1.09 , clause( 89, [ =( multiply( X, multiply( Y, X ) ), multiply( multiply( X,
% 0.45/1.09 Y ), X ) ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.09 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 eqswap(
% 0.45/1.09 clause( 90, [ =( multiply( multiply( X, Y ), X ), multiply( X, multiply( Y
% 0.45/1.09 , X ) ) ) ] )
% 0.45/1.09 , clause( 33, [ =( multiply( Y, multiply( X, Y ) ), multiply( multiply( Y,
% 0.45/1.09 X ), Y ) ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 paramod(
% 0.45/1.09 clause( 93, [ =( multiply( multiply( X, multiply( Y, Z ) ), X ), multiply(
% 0.45/1.09 multiply( X, Y ), multiply( Z, X ) ) ) ] )
% 0.45/1.09 , clause( 8, [ =( multiply( X, multiply( multiply( Y, Z ), X ) ), multiply(
% 0.45/1.09 multiply( X, Y ), multiply( Z, X ) ) ) ] )
% 0.45/1.09 , 0, clause( 90, [ =( multiply( multiply( X, Y ), X ), multiply( X,
% 0.45/1.09 multiply( Y, X ) ) ) ] )
% 0.45/1.09 , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.09 substitution( 1, [ :=( X, X ), :=( Y, multiply( Y, Z ) )] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 eqswap(
% 0.45/1.09 clause( 98, [ =( multiply( multiply( X, Y ), multiply( Z, X ) ), multiply(
% 0.45/1.09 multiply( X, multiply( Y, Z ) ), X ) ) ] )
% 0.45/1.09 , clause( 93, [ =( multiply( multiply( X, multiply( Y, Z ) ), X ), multiply(
% 0.45/1.09 multiply( X, Y ), multiply( Z, X ) ) ) ] )
% 0.45/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 34, [ =( multiply( multiply( X, Y ), multiply( Z, X ) ), multiply(
% 0.45/1.09 multiply( X, multiply( Y, Z ) ), X ) ) ] )
% 0.45/1.09 , clause( 98, [ =( multiply( multiply( X, Y ), multiply( Z, X ) ), multiply(
% 0.45/1.09 multiply( X, multiply( Y, Z ) ), X ) ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 paramod(
% 0.45/1.09 clause( 102, [ ~( =( multiply( multiply( a, multiply( b, c ) ), a ),
% 0.45/1.09 multiply( multiply( a, multiply( b, c ) ), a ) ) ) ] )
% 0.45/1.09 , clause( 34, [ =( multiply( multiply( X, Y ), multiply( Z, X ) ), multiply(
% 0.45/1.09 multiply( X, multiply( Y, Z ) ), X ) ) ] )
% 0.45/1.09 , 0, clause( 9, [ ~( =( multiply( multiply( a, b ), multiply( c, a ) ),
% 0.45/1.09 multiply( multiply( a, multiply( b, c ) ), a ) ) ) ] )
% 0.45/1.09 , 0, 2, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, c )] ),
% 0.45/1.09 substitution( 1, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 eqrefl(
% 0.45/1.09 clause( 103, [] )
% 0.45/1.09 , clause( 102, [ ~( =( multiply( multiply( a, multiply( b, c ) ), a ),
% 0.45/1.09 multiply( multiply( a, multiply( b, c ) ), a ) ) ) ] )
% 0.45/1.09 , 0, substitution( 0, [] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 46, [] )
% 0.45/1.09 , clause( 103, [] )
% 0.45/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 end.
% 0.45/1.09
% 0.45/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.09
% 0.45/1.09 Memory use:
% 0.45/1.09
% 0.45/1.09 space for terms: 676
% 0.45/1.09 space for clauses: 5351
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 clauses generated: 184
% 0.45/1.09 clauses kept: 47
% 0.45/1.09 clauses selected: 24
% 0.45/1.09 clauses deleted: 2
% 0.45/1.09 clauses inuse deleted: 0
% 0.45/1.09
% 0.45/1.09 subsentry: 210
% 0.45/1.09 literals s-matched: 81
% 0.45/1.09 literals matched: 79
% 0.45/1.09 full subsumption: 0
% 0.45/1.09
% 0.45/1.09 checksum: 1842891731
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 Bliksem ended
%------------------------------------------------------------------------------