TSTP Solution File: ALG011-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG011-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 : Thu Jul 14 12:09:04 EDT 2022
% Result : Unsatisfiable 0.75s 1.12s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG011-1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Wed Jun 8 03:29:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.75/1.12 *** allocated 10000 integers for termspace/termends
% 0.75/1.12 *** allocated 10000 integers for clauses
% 0.75/1.12 *** allocated 10000 integers for justifications
% 0.75/1.12 Bliksem 1.12
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 Automatic Strategy Selection
% 0.75/1.12
% 0.75/1.12 Clauses:
% 0.75/1.12 [
% 0.75/1.12 [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ],
% 0.75/1.12 [ c( X ), d( X ) ],
% 0.75/1.12 [ ~( c( X ) ), ~( d( X ) ) ],
% 0.75/1.12 [ c( a1 ) ],
% 0.75/1.12 [ d( a2 ) ],
% 0.75/1.12 [ d( f( X, Y ) ), ~( c( X ) ), ~( c( Y ) ) ],
% 0.75/1.12 [ c( f( X, Y ) ), ~( d( X ) ), ~( d( Y ) ) ]
% 0.75/1.12 ] .
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 percentage equality = 0.076923, percentage horn = 0.857143
% 0.75/1.12 This is a problem with some equality
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 Options Used:
% 0.75/1.12
% 0.75/1.12 useres = 1
% 0.75/1.12 useparamod = 1
% 0.75/1.12 useeqrefl = 1
% 0.75/1.12 useeqfact = 1
% 0.75/1.12 usefactor = 1
% 0.75/1.12 usesimpsplitting = 0
% 0.75/1.12 usesimpdemod = 5
% 0.75/1.12 usesimpres = 3
% 0.75/1.12
% 0.75/1.12 resimpinuse = 1000
% 0.75/1.12 resimpclauses = 20000
% 0.75/1.12 substype = eqrewr
% 0.75/1.12 backwardsubs = 1
% 0.75/1.12 selectoldest = 5
% 0.75/1.12
% 0.75/1.12 litorderings [0] = split
% 0.75/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.12
% 0.75/1.12 termordering = kbo
% 0.75/1.12
% 0.75/1.12 litapriori = 0
% 0.75/1.12 termapriori = 1
% 0.75/1.12 litaposteriori = 0
% 0.75/1.12 termaposteriori = 0
% 0.75/1.12 demodaposteriori = 0
% 0.75/1.12 ordereqreflfact = 0
% 0.75/1.12
% 0.75/1.12 litselect = negord
% 0.75/1.12
% 0.75/1.12 maxweight = 15
% 0.75/1.12 maxdepth = 30000
% 0.75/1.12 maxlength = 115
% 0.75/1.12 maxnrvars = 195
% 0.75/1.12 excuselevel = 1
% 0.75/1.12 increasemaxweight = 1
% 0.75/1.12
% 0.75/1.12 maxselected = 10000000
% 0.75/1.12 maxnrclauses = 10000000
% 0.75/1.12
% 0.75/1.12 showgenerated = 0
% 0.75/1.12 showkept = 0
% 0.75/1.12 showselected = 0
% 0.75/1.12 showdeleted = 0
% 0.75/1.12 showresimp = 1
% 0.75/1.12 showstatus = 2000
% 0.75/1.12
% 0.75/1.12 prologoutput = 1
% 0.75/1.12 nrgoals = 5000000
% 0.75/1.12 totalproof = 1
% 0.75/1.12
% 0.75/1.12 Symbols occurring in the translation:
% 0.75/1.12
% 0.75/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.12 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.75/1.12 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.75/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.12 f [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.75/1.12 c [43, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.75/1.12 d [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.75/1.12 a1 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.75/1.12 a2 [46, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 Starting Search:
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 Bliksems!, er is een bewijs:
% 0.75/1.12 % SZS status Unsatisfiable
% 0.75/1.12 % SZS output start Refutation
% 0.75/1.12
% 0.75/1.12 clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 1, [ c( X ), d( X ) ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 2, [ ~( c( X ) ), ~( d( X ) ) ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 3, [ c( a1 ) ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 4, [ d( a2 ) ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 5, [ d( f( X, Y ) ), ~( c( X ) ), ~( c( Y ) ) ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 6, [ c( f( X, Y ) ), ~( d( X ) ), ~( d( Y ) ) ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 8, [ c( f( X, X ) ), ~( d( X ) ) ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 13, [ c( f( a2, a2 ) ) ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 16, [ d( f( f( a2, a2 ), X ) ), ~( c( X ) ) ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 25, [ d( f( X, a1 ) ), ~( c( X ) ) ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 51, [ c( f( a2, X ) ), ~( d( X ) ) ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 62, [ c( f( a2, X ) ), c( X ) ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 63, [ ~( d( X ) ), ~( d( f( a2, X ) ) ) ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 72, [ c( X ), ~( d( f( a2, X ) ) ) ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 80, [ c( f( X, Y ) ), ~( d( f( f( a2, X ), Y ) ) ) ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 82, [ ~( d( f( X, Y ) ) ), ~( d( f( f( a2, X ), Y ) ) ) ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 275, [ ~( d( f( a2, X ) ) ) ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 277, [ c( f( a2, X ) ) ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 293, [ ~( d( f( f( a2, X ), Y ) ) ) ] )
% 0.75/1.12 .
% 0.75/1.12 clause( 295, [] )
% 0.75/1.12 .
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 % SZS output end Refutation
% 0.75/1.12 found a proof!
% 0.75/1.12
% 0.75/1.12 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.12
% 0.75/1.12 initialclauses(
% 0.75/1.12 [ clause( 297, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 0.75/1.12 , clause( 298, [ c( X ), d( X ) ] )
% 0.75/1.12 , clause( 299, [ ~( c( X ) ), ~( d( X ) ) ] )
% 0.75/1.12 , clause( 300, [ c( a1 ) ] )
% 0.75/1.12 , clause( 301, [ d( a2 ) ] )
% 0.75/1.12 , clause( 302, [ d( f( X, Y ) ), ~( c( X ) ), ~( c( Y ) ) ] )
% 0.75/1.12 , clause( 303, [ c( f( X, Y ) ), ~( d( X ) ), ~( d( Y ) ) ] )
% 0.75/1.12 ] ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 subsumption(
% 0.75/1.12 clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 0.75/1.12 , clause( 297, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 0.75/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.12 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 subsumption(
% 0.75/1.12 clause( 1, [ c( X ), d( X ) ] )
% 0.75/1.12 , clause( 298, [ c( X ), d( X ) ] )
% 0.75/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.75/1.12 1 )] ) ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 subsumption(
% 0.75/1.12 clause( 2, [ ~( c( X ) ), ~( d( X ) ) ] )
% 0.75/1.12 , clause( 299, [ ~( c( X ) ), ~( d( X ) ) ] )
% 0.75/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.75/1.12 1 )] ) ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 subsumption(
% 0.75/1.12 clause( 3, [ c( a1 ) ] )
% 0.75/1.12 , clause( 300, [ c( a1 ) ] )
% 0.75/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 subsumption(
% 0.75/1.12 clause( 4, [ d( a2 ) ] )
% 0.75/1.12 , clause( 301, [ d( a2 ) ] )
% 0.75/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 subsumption(
% 0.75/1.12 clause( 5, [ d( f( X, Y ) ), ~( c( X ) ), ~( c( Y ) ) ] )
% 0.75/1.12 , clause( 302, [ d( f( X, Y ) ), ~( c( X ) ), ~( c( Y ) ) ] )
% 0.75/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.12 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 subsumption(
% 0.75/1.12 clause( 6, [ c( f( X, Y ) ), ~( d( X ) ), ~( d( Y ) ) ] )
% 0.75/1.12 , clause( 303, [ c( f( X, Y ) ), ~( d( X ) ), ~( d( Y ) ) ] )
% 0.75/1.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.12 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 factor(
% 0.75/1.12 clause( 314, [ c( f( X, X ) ), ~( d( X ) ) ] )
% 0.75/1.12 , clause( 6, [ c( f( X, Y ) ), ~( d( X ) ), ~( d( Y ) ) ] )
% 0.75/1.12 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 subsumption(
% 0.75/1.12 clause( 8, [ c( f( X, X ) ), ~( d( X ) ) ] )
% 0.75/1.12 , clause( 314, [ c( f( X, X ) ), ~( d( X ) ) ] )
% 0.75/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.75/1.12 1 )] ) ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 resolution(
% 0.75/1.12 clause( 315, [ c( f( a2, a2 ) ) ] )
% 0.75/1.12 , clause( 8, [ c( f( X, X ) ), ~( d( X ) ) ] )
% 0.75/1.12 , 1, clause( 4, [ d( a2 ) ] )
% 0.75/1.12 , 0, substitution( 0, [ :=( X, a2 )] ), substitution( 1, [] )).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 subsumption(
% 0.75/1.12 clause( 13, [ c( f( a2, a2 ) ) ] )
% 0.75/1.12 , clause( 315, [ c( f( a2, a2 ) ) ] )
% 0.75/1.12 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 resolution(
% 0.75/1.12 clause( 316, [ d( f( f( a2, a2 ), X ) ), ~( c( X ) ) ] )
% 0.75/1.12 , clause( 5, [ d( f( X, Y ) ), ~( c( X ) ), ~( c( Y ) ) ] )
% 0.75/1.12 , 1, clause( 13, [ c( f( a2, a2 ) ) ] )
% 0.75/1.12 , 0, substitution( 0, [ :=( X, f( a2, a2 ) ), :=( Y, X )] ), substitution(
% 0.75/1.12 1, [] )).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 subsumption(
% 0.75/1.12 clause( 16, [ d( f( f( a2, a2 ), X ) ), ~( c( X ) ) ] )
% 0.75/1.12 , clause( 316, [ d( f( f( a2, a2 ), X ) ), ~( c( X ) ) ] )
% 0.75/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.75/1.12 1 )] ) ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 resolution(
% 0.75/1.12 clause( 319, [ d( f( X, a1 ) ), ~( c( X ) ) ] )
% 0.75/1.12 , clause( 5, [ d( f( X, Y ) ), ~( c( X ) ), ~( c( Y ) ) ] )
% 0.75/1.12 , 2, clause( 3, [ c( a1 ) ] )
% 0.75/1.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, a1 )] ), substitution( 1, [] )
% 0.75/1.12 ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 subsumption(
% 0.75/1.12 clause( 25, [ d( f( X, a1 ) ), ~( c( X ) ) ] )
% 0.75/1.12 , clause( 319, [ d( f( X, a1 ) ), ~( c( X ) ) ] )
% 0.75/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.75/1.12 1 )] ) ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 resolution(
% 0.75/1.12 clause( 320, [ c( f( a2, X ) ), ~( d( X ) ) ] )
% 0.75/1.12 , clause( 6, [ c( f( X, Y ) ), ~( d( X ) ), ~( d( Y ) ) ] )
% 0.75/1.12 , 1, clause( 4, [ d( a2 ) ] )
% 0.75/1.12 , 0, substitution( 0, [ :=( X, a2 ), :=( Y, X )] ), substitution( 1, [] )
% 0.75/1.12 ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 subsumption(
% 0.75/1.12 clause( 51, [ c( f( a2, X ) ), ~( d( X ) ) ] )
% 0.75/1.12 , clause( 320, [ c( f( a2, X ) ), ~( d( X ) ) ] )
% 0.75/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.75/1.12 1 )] ) ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 resolution(
% 0.75/1.12 clause( 322, [ c( f( a2, X ) ), c( X ) ] )
% 0.75/1.12 , clause( 51, [ c( f( a2, X ) ), ~( d( X ) ) ] )
% 0.75/1.12 , 1, clause( 1, [ c( X ), d( X ) ] )
% 0.75/1.12 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.75/1.12 ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 subsumption(
% 0.75/1.12 clause( 62, [ c( f( a2, X ) ), c( X ) ] )
% 0.75/1.12 , clause( 322, [ c( f( a2, X ) ), c( X ) ] )
% 0.75/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.75/1.12 1 )] ) ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 resolution(
% 0.75/1.12 clause( 323, [ ~( d( f( a2, X ) ) ), ~( d( X ) ) ] )
% 0.75/1.12 , clause( 2, [ ~( c( X ) ), ~( d( X ) ) ] )
% 0.75/1.12 , 0, clause( 51, [ c( f( a2, X ) ), ~( d( X ) ) ] )
% 0.75/1.12 , 0, substitution( 0, [ :=( X, f( a2, X ) )] ), substitution( 1, [ :=( X, X
% 0.75/1.12 )] )).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 subsumption(
% 0.75/1.12 clause( 63, [ ~( d( X ) ), ~( d( f( a2, X ) ) ) ] )
% 0.75/1.12 , clause( 323, [ ~( d( f( a2, X ) ) ), ~( d( X ) ) ] )
% 0.75/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.75/1.12 0 )] ) ).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 resolution(
% 0.75/1.12 clause( 324, [ ~( d( f( a2, X ) ) ), c( X ) ] )
% 0.75/1.12 , clause( 2, [ ~( c( X ) ), ~( d( X ) ) ] )
% 0.75/1.12 , 0, clause( 62, [ c( f( a2, X ) ), c( X ) ] )
% 0.75/1.12 , 0, substitution( 0, [ :=( X, f( a2, X ) )] ), substitution( 1, [ :=( X, X
% 0.75/1.12 )] )).
% 0.75/1.12
% 0.75/1.12
% 0.75/1.12 subsumption(
% 0.75/1.12 clause( 72, [ c( X ), ~( d( f( a2, X ) ) ) ] )
% 0.75/1.12 , clause( 324, [ ~( d( f( a2, X ) ) ), c( X ) ] )
% 0.75/1.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.75/1.13 0 )] ) ).
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 paramod(
% 0.75/1.13 clause( 327, [ ~( d( f( f( a2, X ), Y ) ) ), c( f( X, Y ) ) ] )
% 0.75/1.13 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 0.75/1.13 , 0, clause( 72, [ c( X ), ~( d( f( a2, X ) ) ) ] )
% 0.75/1.13 , 1, 2, substitution( 0, [ :=( X, a2 ), :=( Y, X ), :=( Z, Y )] ),
% 0.75/1.13 substitution( 1, [ :=( X, f( X, Y ) )] )).
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 subsumption(
% 0.75/1.13 clause( 80, [ c( f( X, Y ) ), ~( d( f( f( a2, X ), Y ) ) ) ] )
% 0.75/1.13 , clause( 327, [ ~( d( f( f( a2, X ), Y ) ) ), c( f( X, Y ) ) ] )
% 0.75/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.75/1.13 ), ==>( 1, 0 )] ) ).
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 paramod(
% 0.75/1.13 clause( 329, [ ~( d( f( f( a2, X ), Y ) ) ), ~( d( f( X, Y ) ) ) ] )
% 0.75/1.13 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 0.75/1.13 , 0, clause( 63, [ ~( d( X ) ), ~( d( f( a2, X ) ) ) ] )
% 0.75/1.13 , 1, 2, substitution( 0, [ :=( X, a2 ), :=( Y, X ), :=( Z, Y )] ),
% 0.75/1.13 substitution( 1, [ :=( X, f( X, Y ) )] )).
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 subsumption(
% 0.75/1.13 clause( 82, [ ~( d( f( X, Y ) ) ), ~( d( f( f( a2, X ), Y ) ) ) ] )
% 0.75/1.13 , clause( 329, [ ~( d( f( f( a2, X ), Y ) ) ), ~( d( f( X, Y ) ) ) ] )
% 0.75/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.75/1.13 ), ==>( 1, 0 )] ) ).
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 resolution(
% 0.75/1.13 clause( 330, [ d( f( f( a2, a2 ), X ) ), ~( d( f( a2, X ) ) ) ] )
% 0.75/1.13 , clause( 16, [ d( f( f( a2, a2 ), X ) ), ~( c( X ) ) ] )
% 0.75/1.13 , 1, clause( 72, [ c( X ), ~( d( f( a2, X ) ) ) ] )
% 0.75/1.13 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.75/1.13 ).
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 resolution(
% 0.75/1.13 clause( 332, [ ~( d( f( a2, X ) ) ), ~( d( f( a2, X ) ) ) ] )
% 0.75/1.13 , clause( 82, [ ~( d( f( X, Y ) ) ), ~( d( f( f( a2, X ), Y ) ) ) ] )
% 0.75/1.13 , 1, clause( 330, [ d( f( f( a2, a2 ), X ) ), ~( d( f( a2, X ) ) ) ] )
% 0.75/1.13 , 0, substitution( 0, [ :=( X, a2 ), :=( Y, X )] ), substitution( 1, [ :=(
% 0.75/1.13 X, X )] )).
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 factor(
% 0.75/1.13 clause( 333, [ ~( d( f( a2, X ) ) ) ] )
% 0.75/1.13 , clause( 332, [ ~( d( f( a2, X ) ) ), ~( d( f( a2, X ) ) ) ] )
% 0.75/1.13 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 subsumption(
% 0.75/1.13 clause( 275, [ ~( d( f( a2, X ) ) ) ] )
% 0.75/1.13 , clause( 333, [ ~( d( f( a2, X ) ) ) ] )
% 0.75/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 resolution(
% 0.75/1.13 clause( 335, [ d( f( f( a2, a2 ), X ) ), c( f( a2, X ) ) ] )
% 0.75/1.13 , clause( 16, [ d( f( f( a2, a2 ), X ) ), ~( c( X ) ) ] )
% 0.75/1.13 , 1, clause( 62, [ c( f( a2, X ) ), c( X ) ] )
% 0.75/1.13 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.75/1.13 ).
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 resolution(
% 0.75/1.13 clause( 337, [ c( f( a2, X ) ), c( f( a2, X ) ) ] )
% 0.75/1.13 , clause( 80, [ c( f( X, Y ) ), ~( d( f( f( a2, X ), Y ) ) ) ] )
% 0.75/1.13 , 1, clause( 335, [ d( f( f( a2, a2 ), X ) ), c( f( a2, X ) ) ] )
% 0.75/1.13 , 0, substitution( 0, [ :=( X, a2 ), :=( Y, X )] ), substitution( 1, [ :=(
% 0.75/1.13 X, X )] )).
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 factor(
% 0.75/1.13 clause( 338, [ c( f( a2, X ) ) ] )
% 0.75/1.13 , clause( 337, [ c( f( a2, X ) ), c( f( a2, X ) ) ] )
% 0.75/1.13 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 subsumption(
% 0.75/1.13 clause( 277, [ c( f( a2, X ) ) ] )
% 0.75/1.13 , clause( 338, [ c( f( a2, X ) ) ] )
% 0.75/1.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 paramod(
% 0.75/1.13 clause( 340, [ ~( d( f( f( a2, X ), Y ) ) ) ] )
% 0.75/1.13 , clause( 0, [ =( f( X, f( Y, Z ) ), f( f( X, Y ), Z ) ) ] )
% 0.75/1.13 , 0, clause( 275, [ ~( d( f( a2, X ) ) ) ] )
% 0.75/1.13 , 0, 2, substitution( 0, [ :=( X, a2 ), :=( Y, X ), :=( Z, Y )] ),
% 0.75/1.13 substitution( 1, [ :=( X, f( X, Y ) )] )).
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 subsumption(
% 0.75/1.13 clause( 293, [ ~( d( f( f( a2, X ), Y ) ) ) ] )
% 0.75/1.13 , clause( 340, [ ~( d( f( f( a2, X ), Y ) ) ) ] )
% 0.75/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.13 )] ) ).
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 resolution(
% 0.75/1.13 clause( 341, [ d( f( f( a2, X ), a1 ) ) ] )
% 0.75/1.13 , clause( 25, [ d( f( X, a1 ) ), ~( c( X ) ) ] )
% 0.75/1.13 , 1, clause( 277, [ c( f( a2, X ) ) ] )
% 0.75/1.13 , 0, substitution( 0, [ :=( X, f( a2, X ) )] ), substitution( 1, [ :=( X, X
% 0.75/1.13 )] )).
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 resolution(
% 0.75/1.13 clause( 342, [] )
% 0.75/1.13 , clause( 293, [ ~( d( f( f( a2, X ), Y ) ) ) ] )
% 0.75/1.13 , 0, clause( 341, [ d( f( f( a2, X ), a1 ) ) ] )
% 0.75/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, a1 )] ), substitution( 1, [ :=(
% 0.75/1.13 X, X )] )).
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 subsumption(
% 0.75/1.13 clause( 295, [] )
% 0.75/1.13 , clause( 342, [] )
% 0.75/1.13 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 end.
% 0.75/1.13
% 0.75/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.13
% 0.75/1.13 Memory use:
% 0.75/1.13
% 0.75/1.13 space for terms: 3074
% 0.75/1.13 space for clauses: 14611
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 clauses generated: 628
% 0.75/1.13 clauses kept: 296
% 0.75/1.13 clauses selected: 43
% 0.75/1.13 clauses deleted: 0
% 0.75/1.13 clauses inuse deleted: 0
% 0.75/1.13
% 0.75/1.13 subsentry: 1554
% 0.75/1.13 literals s-matched: 948
% 0.75/1.13 literals matched: 904
% 0.75/1.13 full subsumption: 40
% 0.75/1.13
% 0.75/1.13 checksum: 1680340280
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 Bliksem ended
%------------------------------------------------------------------------------