%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LDA003-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 : Sun Jul 17 16:41:34 EDT 2022
% Result : Unsatisfiable 0.43s 1.06s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LDA003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Mon May 30 04:08:55 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.43/1.06 *** allocated 10000 integers for termspace/termends
% 0.43/1.06 *** allocated 10000 integers for clauses
% 0.43/1.06 *** allocated 10000 integers for justifications
% 0.43/1.06 Bliksem 1.12
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Automatic Strategy Selection
% 0.43/1.06
% 0.43/1.06 Clauses:
% 0.43/1.06 [
% 0.43/1.06 [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ],
% 0.43/1.06 [ left( X, f( X, Y ) ) ],
% 0.43/1.06 [ ~( left( X, Y ) ), ~( left( Y, Z ) ), left( X, Z ) ],
% 0.43/1.06 [ =( n2, f( n1, n1 ) ) ],
% 0.43/1.06 [ =( n3, f( n2, n1 ) ) ],
% 0.43/1.06 [ =( u, f( n2, n2 ) ) ],
% 0.43/1.06 [ ~( left( n3, u ) ) ]
% 0.43/1.06 ] .
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 percentage equality = 0.444444, percentage horn = 1.000000
% 0.43/1.06 This is a problem with some equality
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Options Used:
% 0.43/1.06
% 0.43/1.06 useres = 1
% 0.43/1.06 useparamod = 1
% 0.43/1.06 useeqrefl = 1
% 0.43/1.06 useeqfact = 1
% 0.43/1.06 usefactor = 1
% 0.43/1.06 usesimpsplitting = 0
% 0.43/1.06 usesimpdemod = 5
% 0.43/1.06 usesimpres = 3
% 0.43/1.06
% 0.43/1.06 resimpinuse = 1000
% 0.43/1.06 resimpclauses = 20000
% 0.43/1.06 substype = eqrewr
% 0.43/1.06 backwardsubs = 1
% 0.43/1.06 selectoldest = 5
% 0.43/1.06
% 0.43/1.06 litorderings [0] = split
% 0.43/1.06 litorderings [1] = extend the termordering, first sorting on arguments
% 0.43/1.06
% 0.43/1.06 termordering = kbo
% 0.43/1.06
% 0.43/1.06 litapriori = 0
% 0.43/1.06 termapriori = 1
% 0.43/1.06 litaposteriori = 0
% 0.43/1.06 termaposteriori = 0
% 0.43/1.06 demodaposteriori = 0
% 0.43/1.06 ordereqreflfact = 0
% 0.43/1.06
% 0.43/1.06 litselect = negord
% 0.43/1.06
% 0.43/1.06 maxweight = 15
% 0.43/1.06 maxdepth = 30000
% 0.43/1.06 maxlength = 115
% 0.43/1.06 maxnrvars = 195
% 0.43/1.06 excuselevel = 1
% 0.43/1.06 increasemaxweight = 1
% 0.43/1.06
% 0.43/1.06 maxselected = 10000000
% 0.43/1.06 maxnrclauses = 10000000
% 0.43/1.06
% 0.43/1.06 showgenerated = 0
% 0.43/1.06 showkept = 0
% 0.43/1.06 showselected = 0
% 0.43/1.06 showdeleted = 0
% 0.43/1.06 showresimp = 1
% 0.43/1.06 showstatus = 2000
% 0.43/1.06
% 0.43/1.06 prologoutput = 1
% 0.43/1.06 nrgoals = 5000000
% 0.43/1.06 totalproof = 1
% 0.43/1.06
% 0.43/1.06 Symbols occurring in the translation:
% 0.43/1.06
% 0.43/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.06 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.43/1.06 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.43/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.06 f [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.43/1.06 left [43, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.43/1.06 n2 [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.43/1.06 n1 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.43/1.06 n3 [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.43/1.06 u [47, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Starting Search:
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Bliksems!, er is een bewijs:
% 0.43/1.06 % SZS status Unsatisfiable
% 0.43/1.06 % SZS output start Refutation
% 0.43/1.06
% 0.43/1.06 clause( 0, [ =( f( f( X, Y ), f( X, Z ) ), f( X, f( Y, Z ) ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 1, [ left( X, f( X, Y ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 3, [ =( f( n1, n1 ), n2 ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 4, [ =( f( n2, n1 ), n3 ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 5, [ =( f( n2, n2 ), u ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 6, [ ~( left( n3, u ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 12, [ =( f( n2, f( X, n1 ) ), f( f( n2, X ), n3 ) ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 59, [ =( f( n3, n3 ), u ) ] )
% 0.43/1.06 .
% 0.43/1.06 clause( 65, [] )
% 0.43/1.06 .
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 % SZS output end Refutation
% 0.43/1.06 found a proof!
% 0.43/1.06
% 0.43/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.06
% 0.43/1.06 initialclauses(
% 0.43/1.06 [ clause( 67, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ] )
% 0.43/1.06 , clause( 68, [ left( X, f( X, Y ) ) ] )
% 0.43/1.06 , clause( 69, [ ~( left( X, Y ) ), ~( left( Y, Z ) ), left( X, Z ) ] )
% 0.43/1.06 , clause( 70, [ =( n2, f( n1, n1 ) ) ] )
% 0.43/1.06 , clause( 71, [ =( n3, f( n2, n1 ) ) ] )
% 0.43/1.06 , clause( 72, [ =( u, f( n2, n2 ) ) ] )
% 0.43/1.06 , clause( 73, [ ~( left( n3, u ) ) ] )
% 0.43/1.06 ] ).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 eqswap(
% 0.43/1.06 clause( 74, [ =( f( f( X, Y ), f( X, Z ) ), f( X, f( Y, Z ) ) ) ] )
% 0.43/1.07 , clause( 67, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 0, [ =( f( f( X, Y ), f( X, Z ) ), f( X, f( Y, Z ) ) ) ] )
% 0.43/1.07 , clause( 74, [ =( f( f( X, Y ), f( X, Z ) ), f( X, f( Y, Z ) ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 1, [ left( X, f( X, Y ) ) ] )
% 0.43/1.07 , clause( 68, [ left( X, f( X, Y ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 78, [ =( f( n1, n1 ), n2 ) ] )
% 0.43/1.07 , clause( 70, [ =( n2, f( n1, n1 ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 3, [ =( f( n1, n1 ), n2 ) ] )
% 0.43/1.07 , clause( 78, [ =( f( n1, n1 ), n2 ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 82, [ =( f( n2, n1 ), n3 ) ] )
% 0.43/1.07 , clause( 71, [ =( n3, f( n2, n1 ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 4, [ =( f( n2, n1 ), n3 ) ] )
% 0.43/1.07 , clause( 82, [ =( f( n2, n1 ), n3 ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 87, [ =( f( n2, n2 ), u ) ] )
% 0.43/1.07 , clause( 72, [ =( u, f( n2, n2 ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 5, [ =( f( n2, n2 ), u ) ] )
% 0.43/1.07 , clause( 87, [ =( f( n2, n2 ), u ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 6, [ ~( left( n3, u ) ) ] )
% 0.43/1.07 , clause( 73, [ ~( left( n3, u ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 94, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ] )
% 0.43/1.07 , clause( 0, [ =( f( f( X, Y ), f( X, Z ) ), f( X, f( Y, Z ) ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 97, [ =( f( n2, f( X, n1 ) ), f( f( n2, X ), n3 ) ) ] )
% 0.43/1.07 , clause( 4, [ =( f( n2, n1 ), n3 ) ] )
% 0.43/1.07 , 0, clause( 94, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), f( X, Z ) ) ) ] )
% 0.43/1.07 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, n2 ), :=( Y, X )
% 0.43/1.07 , :=( Z, n1 )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 12, [ =( f( n2, f( X, n1 ) ), f( f( n2, X ), n3 ) ) ] )
% 0.43/1.07 , clause( 97, [ =( f( n2, f( X, n1 ) ), f( f( n2, X ), n3 ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 102, [ =( f( f( n2, X ), n3 ), f( n2, f( X, n1 ) ) ) ] )
% 0.43/1.07 , clause( 12, [ =( f( n2, f( X, n1 ) ), f( f( n2, X ), n3 ) ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 105, [ =( f( f( n2, n1 ), n3 ), f( n2, n2 ) ) ] )
% 0.43/1.07 , clause( 3, [ =( f( n1, n1 ), n2 ) ] )
% 0.43/1.07 , 0, clause( 102, [ =( f( f( n2, X ), n3 ), f( n2, f( X, n1 ) ) ) ] )
% 0.43/1.07 , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, n1 )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 106, [ =( f( f( n2, n1 ), n3 ), u ) ] )
% 0.43/1.07 , clause( 5, [ =( f( n2, n2 ), u ) ] )
% 0.43/1.07 , 0, clause( 105, [ =( f( f( n2, n1 ), n3 ), f( n2, n2 ) ) ] )
% 0.43/1.07 , 0, 6, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 107, [ =( f( n3, n3 ), u ) ] )
% 0.43/1.07 , clause( 4, [ =( f( n2, n1 ), n3 ) ] )
% 0.43/1.07 , 0, clause( 106, [ =( f( f( n2, n1 ), n3 ), u ) ] )
% 0.43/1.07 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 59, [ =( f( n3, n3 ), u ) ] )
% 0.43/1.07 , clause( 107, [ =( f( n3, n3 ), u ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 110, [ left( n3, u ) ] )
% 0.43/1.07 , clause( 59, [ =( f( n3, n3 ), u ) ] )
% 0.43/1.07 , 0, clause( 1, [ left( X, f( X, Y ) ) ] )
% 0.43/1.07 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, n3 ), :=( Y, n3 )] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 111, [] )
% 0.43/1.07 , clause( 6, [ ~( left( n3, u ) ) ] )
% 0.43/1.07 , 0, clause( 110, [ left( n3, u ) ] )
% 0.43/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 65, [] )
% 0.43/1.07 , clause( 111, [] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 end.
% 0.43/1.07
% 0.43/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07
% 0.43/1.07 Memory use:
% 0.43/1.07
% 0.43/1.07 space for terms: 690
% 0.43/1.07 space for clauses: 4517
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 clauses generated: 181
% 0.43/1.07 clauses kept: 66
% 0.43/1.07 clauses selected: 26
% 0.43/1.07 clauses deleted: 1
% 0.43/1.07 clauses inuse deleted: 0
% 0.43/1.07
% 0.43/1.07 subsentry: 303
% 0.43/1.07 literals s-matched: 136
% 0.43/1.07 literals matched: 136
% 0.43/1.07 full subsumption: 37
% 0.43/1.07
% 0.43/1.07 checksum: -1073055910
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Bliksem ended
%------------------------------------------------------------------------------