%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GRP028-2 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 07:34:25 EDT 2022
% Result : Unsatisfiable 0.43s 1.15s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP028-2 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Mon Jun 13 15:15:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.43/1.15 *** allocated 10000 integers for termspace/termends
% 0.43/1.15 *** allocated 10000 integers for clauses
% 0.43/1.15 *** allocated 10000 integers for justifications
% 0.43/1.15 Bliksem 1.12
% 0.43/1.15
% 0.43/1.15
% 0.43/1.15 Automatic Strategy Selection
% 0.43/1.15
% 0.43/1.15 Clauses:
% 0.43/1.15 [
% 0.43/1.15 [ product( X, Y, multiply( X, Y ) ) ],
% 0.43/1.15 [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 0.43/1.15 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.43/1.15 ) ), product( X, U, W ) ],
% 0.43/1.15 [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.43/1.15 ) ), product( Z, T, W ) ],
% 0.43/1.15 [ product( 'left_solution'( X, Y ), X, Y ) ],
% 0.43/1.15 [ product( X, 'right_solution'( X, Y ), Y ) ],
% 0.43/1.15 [ ~( product( 'not_identity'( X ), X, 'not_identity'( X ) ) ) ]
% 0.43/1.15 ] .
% 0.43/1.15
% 0.43/1.15
% 0.43/1.15 percentage equality = 0.066667, percentage horn = 1.000000
% 0.43/1.15 This is a problem with some equality
% 0.43/1.15
% 0.43/1.15
% 0.43/1.15
% 0.43/1.15 Options Used:
% 0.43/1.15
% 0.43/1.15 useres = 1
% 0.43/1.15 useparamod = 1
% 0.43/1.15 useeqrefl = 1
% 0.43/1.15 useeqfact = 1
% 0.43/1.15 usefactor = 1
% 0.43/1.15 usesimpsplitting = 0
% 0.43/1.15 usesimpdemod = 5
% 0.43/1.15 usesimpres = 3
% 0.43/1.15
% 0.43/1.15 resimpinuse = 1000
% 0.43/1.15 resimpclauses = 20000
% 0.43/1.15 substype = eqrewr
% 0.43/1.15 backwardsubs = 1
% 0.43/1.15 selectoldest = 5
% 0.43/1.15
% 0.43/1.15 litorderings [0] = split
% 0.43/1.15 litorderings [1] = extend the termordering, first sorting on arguments
% 0.43/1.15
% 0.43/1.15 termordering = kbo
% 0.43/1.15
% 0.43/1.15 litapriori = 0
% 0.43/1.15 termapriori = 1
% 0.43/1.15 litaposteriori = 0
% 0.43/1.15 termaposteriori = 0
% 0.43/1.15 demodaposteriori = 0
% 0.43/1.15 ordereqreflfact = 0
% 0.43/1.15
% 0.43/1.15 litselect = negord
% 0.43/1.15
% 0.43/1.15 maxweight = 15
% 0.43/1.15 maxdepth = 30000
% 0.43/1.15 maxlength = 115
% 0.43/1.15 maxnrvars = 195
% 0.43/1.15 excuselevel = 1
% 0.43/1.15 increasemaxweight = 1
% 0.43/1.15
% 0.43/1.15 maxselected = 10000000
% 0.43/1.15 maxnrclauses = 10000000
% 0.43/1.15
% 0.43/1.15 showgenerated = 0
% 0.43/1.15 showkept = 0
% 0.43/1.15 showselected = 0
% 0.43/1.15 showdeleted = 0
% 0.43/1.15 showresimp = 1
% 0.43/1.15 showstatus = 2000
% 0.43/1.15
% 0.43/1.15 prologoutput = 1
% 0.43/1.15 nrgoals = 5000000
% 0.43/1.15 totalproof = 1
% 0.43/1.15
% 0.43/1.15 Symbols occurring in the translation:
% 0.43/1.15
% 0.43/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.15 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.43/1.15 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.43/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.15 multiply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.43/1.15 product [42, 3] (w:1, o:49, a:1, s:1, b:0),
% 0.43/1.15 'left_solution' [47, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.43/1.15 'right_solution' [48, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.43/1.15 'not_identity' [49, 1] (w:1, o:20, a:1, s:1, b:0).
% 0.43/1.15
% 0.43/1.15
% 0.43/1.15 Starting Search:
% 0.43/1.15
% 0.43/1.15
% 0.43/1.15 Bliksems!, er is een bewijs:
% 0.43/1.15 % SZS status Unsatisfiable
% 0.43/1.15 % SZS output start Refutation
% 0.43/1.15
% 0.43/1.15 clause( 3, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 0.43/1.15 X, U, W ) ), product( Z, T, W ) ] )
% 0.43/1.15 .
% 0.43/1.15 clause( 4, [ product( 'left_solution'( X, Y ), X, Y ) ] )
% 0.43/1.15 .
% 0.43/1.15 clause( 5, [ product( X, 'right_solution'( X, Y ), Y ) ] )
% 0.43/1.15 .
% 0.43/1.15 clause( 6, [ ~( product( 'not_identity'( X ), X, 'not_identity'( X ) ) ) ]
% 0.43/1.15 )
% 0.43/1.15 .
% 0.43/1.15 clause( 85, [ ~( product( X, Y, 'not_identity'( Z ) ) ), ~( product( Y, Z,
% 0.43/1.15 T ) ), ~( product( X, T, 'not_identity'( Z ) ) ) ] )
% 0.43/1.15 .
% 0.43/1.15 clause( 101, [ ~( product( X, Y, 'not_identity'( Z ) ) ), ~( product( Y, Z
% 0.43/1.15 , Y ) ) ] )
% 0.43/1.15 .
% 0.43/1.15 clause( 102, [ ~( product( X, Y, X ) ) ] )
% 0.43/1.15 .
% 0.43/1.15 clause( 106, [] )
% 0.43/1.15 .
% 0.43/1.15
% 0.43/1.15
% 0.43/1.15 % SZS output end Refutation
% 0.43/1.15 found a proof!
% 0.43/1.15
% 0.43/1.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.15
% 0.43/1.15 initialclauses(
% 0.43/1.15 [ clause( 108, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.43/1.15 , clause( 109, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.43/1.15 ) ] )
% 0.43/1.15 , clause( 110, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.43/1.15 product( Z, T, W ) ), product( X, U, W ) ] )
% 0.43/1.15 , clause( 111, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.43/1.15 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.43/1.15 , clause( 112, [ product( 'left_solution'( X, Y ), X, Y ) ] )
% 0.43/1.15 , clause( 113, [ product( X, 'right_solution'( X, Y ), Y ) ] )
% 0.43/1.15 , clause( 114, [ ~( product( 'not_identity'( X ), X, 'not_identity'( X ) )
% 0.43/1.15 ) ] )
% 0.43/1.15 ] ).
% 0.43/1.15
% 0.43/1.15
% 0.43/1.15
% 0.43/1.15 subsumption(
% 0.43/1.15 clause( 3, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product(
% 0.43/1.15 X, U, W ) ), product( Z, T, W ) ] )
% 0.43/1.15 , clause( 111, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.43/1.15 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.43/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.43/1.15 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.43/1.15 , 2 ), ==>( 3, 3 )] ) ).
% 0.43/1.15
% 0.43/1.15
% 0.43/1.15 subsumption(
% 0.43/1.15 clause( 4, [ product( 'left_solution'( X, Y ), X, Y ) ] )
% 0.43/1.15 , clause( 112, [ product( 'left_solution'( X, Y ), X, Y ) ] )
% 0.43/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.15 )] ) ).
% 0.43/1.15
% 0.43/1.15
% 0.43/1.15 subsumption(
% 0.43/1.15 clause( 5, [ product( X, 'right_solution'( X, Y ), Y ) ] )
% 0.43/1.15 , clause( 113, [ product( X, 'right_solution'( X, Y ), Y ) ] )
% 0.43/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.15 )] ) ).
% 0.43/1.15
% 0.43/1.15
% 0.43/1.15 subsumption(
% 0.43/1.15 clause( 6, [ ~( product( 'not_identity'( X ), X, 'not_identity'( X ) ) ) ]
% 0.43/1.15 )
% 0.43/1.15 , clause( 114, [ ~( product( 'not_identity'( X ), X, 'not_identity'( X ) )
% 0.43/1.15 ) ] )
% 0.43/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.15
% 0.43/1.15
% 0.43/1.15 resolution(
% 0.43/1.15 clause( 151, [ ~( product( Y, Z, 'not_identity'( X ) ) ), ~( product( Z, X
% 0.43/1.15 , T ) ), ~( product( Y, T, 'not_identity'( X ) ) ) ] )
% 0.43/1.15 , clause( 6, [ ~( product( 'not_identity'( X ), X, 'not_identity'( X ) ) )
% 0.43/1.15 ] )
% 0.43/1.15 , 0, clause( 3, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~(
% 0.43/1.15 product( X, U, W ) ), product( Z, T, W ) ] )
% 0.43/1.15 , 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 0.43/1.15 , Z ), :=( Z, 'not_identity'( X ) ), :=( T, X ), :=( U, T ), :=( W,
% 0.43/1.15 'not_identity'( X ) )] )).
% 0.43/1.15
% 0.43/1.15
% 0.43/1.15 subsumption(
% 0.43/1.15 clause( 85, [ ~( product( X, Y, 'not_identity'( Z ) ) ), ~( product( Y, Z,
% 0.43/1.15 T ) ), ~( product( X, T, 'not_identity'( Z ) ) ) ] )
% 0.43/1.15 , clause( 151, [ ~( product( Y, Z, 'not_identity'( X ) ) ), ~( product( Z,
% 0.43/1.15 X, T ) ), ~( product( Y, T, 'not_identity'( X ) ) ) ] )
% 0.43/1.15 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] ),
% 0.43/1.15 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.43/1.15
% 0.43/1.15
% 0.43/1.15 factor(
% 0.43/1.15 clause( 155, [ ~( product( X, Y, 'not_identity'( Z ) ) ), ~( product( Y, Z
% 0.43/1.15 , Y ) ) ] )
% 0.43/1.15 , clause( 85, [ ~( product( X, Y, 'not_identity'( Z ) ) ), ~( product( Y, Z
% 0.43/1.15 , T ) ), ~( product( X, T, 'not_identity'( Z ) ) ) ] )
% 0.43/1.15 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y )] )
% 0.43/1.15 ).
% 0.43/1.15
% 0.43/1.15
% 0.43/1.15 subsumption(
% 0.43/1.15 clause( 101, [ ~( product( X, Y, 'not_identity'( Z ) ) ), ~( product( Y, Z
% 0.43/1.15 , Y ) ) ] )
% 0.43/1.15 , clause( 155, [ ~( product( X, Y, 'not_identity'( Z ) ) ), ~( product( Y,
% 0.43/1.15 Z, Y ) ) ] )
% 0.43/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.15 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.43/1.15
% 0.43/1.15
% 0.43/1.15 resolution(
% 0.43/1.15 clause( 156, [ ~( product( X, Y, X ) ) ] )
% 0.43/1.15 , clause( 101, [ ~( product( X, Y, 'not_identity'( Z ) ) ), ~( product( Y,
% 0.43/1.15 Z, Y ) ) ] )
% 0.43/1.15 , 0, clause( 4, [ product( 'left_solution'( X, Y ), X, Y ) ] )
% 0.43/1.15 , 0, substitution( 0, [ :=( X, 'left_solution'( X, 'not_identity'( Y ) ) )
% 0.43/1.15 , :=( Y, X ), :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y,
% 0.43/1.15 'not_identity'( Y ) )] )).
% 0.43/1.15
% 0.43/1.15
% 0.43/1.15 subsumption(
% 0.43/1.15 clause( 102, [ ~( product( X, Y, X ) ) ] )
% 0.43/1.15 , clause( 156, [ ~( product( X, Y, X ) ) ] )
% 0.43/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.15 )] ) ).
% 0.43/1.15
% 0.43/1.15
% 0.43/1.15 resolution(
% 0.43/1.15 clause( 157, [] )
% 0.43/1.15 , clause( 102, [ ~( product( X, Y, X ) ) ] )
% 0.43/1.15 , 0, clause( 5, [ product( X, 'right_solution'( X, Y ), Y ) ] )
% 0.43/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'right_solution'( X, X ) )] ),
% 0.43/1.15 substitution( 1, [ :=( X, X ), :=( Y, X )] )).
% 0.43/1.15
% 0.43/1.15
% 0.43/1.15 subsumption(
% 0.43/1.15 clause( 106, [] )
% 0.43/1.15 , clause( 157, [] )
% 0.43/1.15 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.15
% 0.43/1.15
% 0.43/1.15 end.
% 0.43/1.15
% 0.43/1.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.15
% 0.43/1.15 Memory use:
% 0.43/1.15
% 0.43/1.15 space for terms: 1869
% 0.43/1.15 space for clauses: 5531
% 0.43/1.15
% 0.43/1.15
% 0.43/1.15 clauses generated: 331
% 0.43/1.15 clauses kept: 107
% 0.43/1.15 clauses selected: 13
% 0.43/1.15 clauses deleted: 0
% 0.43/1.15 clauses inuse deleted: 0
% 0.43/1.15
% 0.43/1.15 subsentry: 1394
% 0.43/1.15 literals s-matched: 695
% 0.43/1.15 literals matched: 673
% 0.43/1.15 full subsumption: 620
% 0.43/1.15
% 0.43/1.15 checksum: 2648206
% 0.43/1.15
% 0.43/1.15
% 0.43/1.15 Bliksem ended
%------------------------------------------------------------------------------