TSTP Solution File: MSC006-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : MSC006-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 22:33:16 EDT 2022
% Result : Unsatisfiable 0.71s 1.11s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MSC006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n020.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 : Fri Jul 1 16:17:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.71/1.11 *** allocated 10000 integers for termspace/termends
% 0.71/1.11 *** allocated 10000 integers for clauses
% 0.71/1.11 *** allocated 10000 integers for justifications
% 0.71/1.11 Bliksem 1.12
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Automatic Strategy Selection
% 0.71/1.11
% 0.71/1.11 Clauses:
% 0.71/1.11 [
% 0.71/1.11 [ ~( p( X, Y ) ), ~( p( Y, Z ) ), p( X, Z ) ],
% 0.71/1.11 [ ~( q( X, Y ) ), ~( q( Y, Z ) ), q( X, Z ) ],
% 0.71/1.11 [ ~( q( X, Y ) ), q( Y, X ) ],
% 0.71/1.11 [ p( X, Y ), q( X, Y ) ],
% 0.71/1.11 [ ~( p( a, b ) ) ],
% 0.71/1.11 [ ~( q( c, d ) ) ]
% 0.71/1.11 ] .
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 percentage equality = 0.000000, percentage horn = 0.833333
% 0.71/1.11 This a non-horn, non-equality problem
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Options Used:
% 0.71/1.11
% 0.71/1.11 useres = 1
% 0.71/1.11 useparamod = 0
% 0.71/1.11 useeqrefl = 0
% 0.71/1.11 useeqfact = 0
% 0.71/1.11 usefactor = 1
% 0.71/1.11 usesimpsplitting = 0
% 0.71/1.11 usesimpdemod = 0
% 0.71/1.11 usesimpres = 3
% 0.71/1.11
% 0.71/1.11 resimpinuse = 1000
% 0.71/1.11 resimpclauses = 20000
% 0.71/1.11 substype = standard
% 0.71/1.11 backwardsubs = 1
% 0.71/1.11 selectoldest = 5
% 0.71/1.11
% 0.71/1.11 litorderings [0] = split
% 0.71/1.11 litorderings [1] = liftord
% 0.71/1.11
% 0.71/1.11 termordering = none
% 0.71/1.11
% 0.71/1.11 litapriori = 1
% 0.71/1.11 termapriori = 0
% 0.71/1.11 litaposteriori = 0
% 0.71/1.11 termaposteriori = 0
% 0.71/1.11 demodaposteriori = 0
% 0.71/1.11 ordereqreflfact = 0
% 0.71/1.11
% 0.71/1.11 litselect = none
% 0.71/1.11
% 0.71/1.11 maxweight = 15
% 0.71/1.11 maxdepth = 30000
% 0.71/1.11 maxlength = 115
% 0.71/1.11 maxnrvars = 195
% 0.71/1.11 excuselevel = 1
% 0.71/1.11 increasemaxweight = 1
% 0.71/1.11
% 0.71/1.11 maxselected = 10000000
% 0.71/1.11 maxnrclauses = 10000000
% 0.71/1.11
% 0.71/1.11 showgenerated = 0
% 0.71/1.11 showkept = 0
% 0.71/1.11 showselected = 0
% 0.71/1.11 showdeleted = 0
% 0.71/1.11 showresimp = 1
% 0.71/1.11 showstatus = 2000
% 0.71/1.11
% 0.71/1.11 prologoutput = 1
% 0.71/1.11 nrgoals = 5000000
% 0.71/1.11 totalproof = 1
% 0.71/1.11
% 0.71/1.11 Symbols occurring in the translation:
% 0.71/1.11
% 0.71/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.11 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.71/1.11 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.71/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.11 p [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.71/1.11 q [43, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.71/1.11 a [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.71/1.11 b [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.71/1.11 c [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.71/1.11 d [47, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Starting Search:
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Bliksems!, er is een bewijs:
% 0.71/1.11 % SZS status Unsatisfiable
% 0.71/1.11 % SZS output start Refutation
% 0.71/1.11
% 0.71/1.11 clause( 0, [ ~( p( Y, Z ) ), p( X, Z ), ~( p( X, Y ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 1, [ ~( q( Y, Z ) ), q( X, Z ), ~( q( X, Y ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 2, [ q( Y, X ), ~( q( X, Y ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 3, [ p( X, Y ), q( X, Y ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 4, [ ~( p( a, b ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 5, [ ~( q( c, d ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 6, [ p( c, d ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 7, [ p( Y, X ), q( X, Y ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 8, [ ~( q( d, c ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 10, [ ~( p( X, c ) ), p( X, d ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 12, [ ~( p( a, X ) ), ~( p( X, b ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 13, [ p( d, c ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 14, [ p( X, c ), ~( p( X, d ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 15, [ ~( p( c, X ) ), p( d, X ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 21, [ ~( q( d, X ) ), ~( q( X, c ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 41, [ p( X, d ), ~( q( X, c ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 42, [ p( c, X ), ~( q( d, X ) ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 50, [ p( X, c ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 54, [ p( X, d ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 71, [ p( d, X ) ] )
% 0.71/1.11 .
% 0.71/1.11 clause( 72, [] )
% 0.71/1.11 .
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 % SZS output end Refutation
% 0.71/1.11 found a proof!
% 0.71/1.11
% 0.71/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.11
% 0.71/1.11 initialclauses(
% 0.71/1.11 [ clause( 74, [ ~( p( X, Y ) ), ~( p( Y, Z ) ), p( X, Z ) ] )
% 0.71/1.11 , clause( 75, [ ~( q( X, Y ) ), ~( q( Y, Z ) ), q( X, Z ) ] )
% 0.71/1.11 , clause( 76, [ ~( q( X, Y ) ), q( Y, X ) ] )
% 0.71/1.11 , clause( 77, [ p( X, Y ), q( X, Y ) ] )
% 0.71/1.11 , clause( 78, [ ~( p( a, b ) ) ] )
% 0.71/1.11 , clause( 79, [ ~( q( c, d ) ) ] )
% 0.71/1.11 ] ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 0, [ ~( p( Y, Z ) ), p( X, Z ), ~( p( X, Y ) ) ] )
% 0.71/1.11 , clause( 74, [ ~( p( X, Y ) ), ~( p( Y, Z ) ), p( X, Z ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.11 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 1, [ ~( q( Y, Z ) ), q( X, Z ), ~( q( X, Y ) ) ] )
% 0.71/1.11 , clause( 75, [ ~( q( X, Y ) ), ~( q( Y, Z ) ), q( X, Z ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.11 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 2, [ q( Y, X ), ~( q( X, Y ) ) ] )
% 0.71/1.11 , clause( 76, [ ~( q( X, Y ) ), q( Y, X ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.71/1.11 ), ==>( 1, 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 3, [ p( X, Y ), q( X, Y ) ] )
% 0.71/1.11 , clause( 77, [ p( X, Y ), q( X, Y ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.11 ), ==>( 1, 1 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 4, [ ~( p( a, b ) ) ] )
% 0.71/1.11 , clause( 78, [ ~( p( a, b ) ) ] )
% 0.71/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 5, [ ~( q( c, d ) ) ] )
% 0.71/1.11 , clause( 79, [ ~( q( c, d ) ) ] )
% 0.71/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 resolution(
% 0.71/1.11 clause( 91, [ p( c, d ) ] )
% 0.71/1.11 , clause( 5, [ ~( q( c, d ) ) ] )
% 0.71/1.11 , 0, clause( 3, [ p( X, Y ), q( X, Y ) ] )
% 0.71/1.11 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y, d )] )
% 0.71/1.11 ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 6, [ p( c, d ) ] )
% 0.71/1.11 , clause( 91, [ p( c, d ) ] )
% 0.71/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 resolution(
% 0.71/1.11 clause( 92, [ q( X, Y ), p( Y, X ) ] )
% 0.71/1.11 , clause( 2, [ q( Y, X ), ~( q( X, Y ) ) ] )
% 0.71/1.11 , 1, clause( 3, [ p( X, Y ), q( X, Y ) ] )
% 0.71/1.11 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.71/1.11 , Y ), :=( Y, X )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 7, [ p( Y, X ), q( X, Y ) ] )
% 0.71/1.11 , clause( 92, [ q( X, Y ), p( Y, X ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.71/1.11 ), ==>( 1, 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 resolution(
% 0.71/1.11 clause( 93, [ ~( q( d, c ) ) ] )
% 0.71/1.11 , clause( 5, [ ~( q( c, d ) ) ] )
% 0.71/1.11 , 0, clause( 2, [ q( Y, X ), ~( q( X, Y ) ) ] )
% 0.71/1.11 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, d ), :=( Y, c )] )
% 0.71/1.11 ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 8, [ ~( q( d, c ) ) ] )
% 0.71/1.11 , clause( 93, [ ~( q( d, c ) ) ] )
% 0.71/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 resolution(
% 0.71/1.11 clause( 94, [ p( X, d ), ~( p( X, c ) ) ] )
% 0.71/1.11 , clause( 0, [ ~( p( Y, Z ) ), p( X, Z ), ~( p( X, Y ) ) ] )
% 0.71/1.11 , 0, clause( 6, [ p( c, d ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, c ), :=( Z, d )] ),
% 0.71/1.11 substitution( 1, [] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 10, [ ~( p( X, c ) ), p( X, d ) ] )
% 0.71/1.11 , clause( 94, [ p( X, d ), ~( p( X, c ) ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.71/1.11 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 resolution(
% 0.71/1.11 clause( 96, [ ~( p( X, b ) ), ~( p( a, X ) ) ] )
% 0.71/1.11 , clause( 4, [ ~( p( a, b ) ) ] )
% 0.71/1.11 , 0, clause( 0, [ ~( p( Y, Z ) ), p( X, Z ), ~( p( X, Y ) ) ] )
% 0.71/1.11 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, X ), :=(
% 0.71/1.11 Z, b )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 12, [ ~( p( a, X ) ), ~( p( X, b ) ) ] )
% 0.71/1.11 , clause( 96, [ ~( p( X, b ) ), ~( p( a, X ) ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.71/1.11 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 resolution(
% 0.71/1.11 clause( 97, [ p( d, c ) ] )
% 0.71/1.11 , clause( 8, [ ~( q( d, c ) ) ] )
% 0.71/1.11 , 0, clause( 3, [ p( X, Y ), q( X, Y ) ] )
% 0.71/1.11 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, d ), :=( Y, c )] )
% 0.71/1.11 ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 13, [ p( d, c ) ] )
% 0.71/1.11 , clause( 97, [ p( d, c ) ] )
% 0.71/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 resolution(
% 0.71/1.11 clause( 98, [ p( X, c ), ~( p( X, d ) ) ] )
% 0.71/1.11 , clause( 0, [ ~( p( Y, Z ) ), p( X, Z ), ~( p( X, Y ) ) ] )
% 0.71/1.11 , 0, clause( 13, [ p( d, c ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, d ), :=( Z, c )] ),
% 0.71/1.11 substitution( 1, [] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 14, [ p( X, c ), ~( p( X, d ) ) ] )
% 0.71/1.11 , clause( 98, [ p( X, c ), ~( p( X, d ) ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.71/1.11 1 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 resolution(
% 0.71/1.11 clause( 101, [ ~( p( c, X ) ), p( d, X ) ] )
% 0.71/1.11 , clause( 0, [ ~( p( Y, Z ) ), p( X, Z ), ~( p( X, Y ) ) ] )
% 0.71/1.11 , 2, clause( 13, [ p( d, c ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, d ), :=( Y, c ), :=( Z, X )] ),
% 0.71/1.11 substitution( 1, [] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 15, [ ~( p( c, X ) ), p( d, X ) ] )
% 0.71/1.11 , clause( 101, [ ~( p( c, X ) ), p( d, X ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.71/1.11 1 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 resolution(
% 0.71/1.11 clause( 102, [ ~( q( X, c ) ), ~( q( d, X ) ) ] )
% 0.71/1.11 , clause( 8, [ ~( q( d, c ) ) ] )
% 0.71/1.11 , 0, clause( 1, [ ~( q( Y, Z ) ), q( X, Z ), ~( q( X, Y ) ) ] )
% 0.71/1.11 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, d ), :=( Y, X ), :=(
% 0.71/1.11 Z, c )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 21, [ ~( q( d, X ) ), ~( q( X, c ) ) ] )
% 0.71/1.11 , clause( 102, [ ~( q( X, c ) ), ~( q( d, X ) ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.71/1.11 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 resolution(
% 0.71/1.11 clause( 103, [ ~( q( X, c ) ), p( X, d ) ] )
% 0.71/1.11 , clause( 21, [ ~( q( d, X ) ), ~( q( X, c ) ) ] )
% 0.71/1.11 , 0, clause( 7, [ p( Y, X ), q( X, Y ) ] )
% 0.71/1.11 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, d ), :=( Y
% 0.71/1.11 , X )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 41, [ p( X, d ), ~( q( X, c ) ) ] )
% 0.71/1.11 , clause( 103, [ ~( q( X, c ) ), p( X, d ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.71/1.11 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 resolution(
% 0.71/1.11 clause( 106, [ ~( q( d, X ) ), p( c, X ) ] )
% 0.71/1.11 , clause( 21, [ ~( q( d, X ) ), ~( q( X, c ) ) ] )
% 0.71/1.11 , 1, clause( 7, [ p( Y, X ), q( X, Y ) ] )
% 0.71/1.11 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.71/1.11 , c )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 42, [ p( c, X ), ~( q( d, X ) ) ] )
% 0.71/1.11 , clause( 106, [ ~( q( d, X ) ), p( c, X ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.71/1.11 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 resolution(
% 0.71/1.11 clause( 107, [ p( X, d ), p( X, c ) ] )
% 0.71/1.11 , clause( 41, [ p( X, d ), ~( q( X, c ) ) ] )
% 0.71/1.11 , 1, clause( 3, [ p( X, Y ), q( X, Y ) ] )
% 0.71/1.11 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.71/1.11 , c )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 resolution(
% 0.71/1.11 clause( 108, [ p( X, c ), p( X, c ) ] )
% 0.71/1.11 , clause( 14, [ p( X, c ), ~( p( X, d ) ) ] )
% 0.71/1.11 , 1, clause( 107, [ p( X, d ), p( X, c ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.71/1.11 ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 factor(
% 0.71/1.11 clause( 109, [ p( X, c ) ] )
% 0.71/1.11 , clause( 108, [ p( X, c ), p( X, c ) ] )
% 0.71/1.11 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 50, [ p( X, c ) ] )
% 0.71/1.11 , clause( 109, [ p( X, c ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 resolution(
% 0.71/1.11 clause( 110, [ p( X, d ) ] )
% 0.71/1.11 , clause( 10, [ ~( p( X, c ) ), p( X, d ) ] )
% 0.71/1.11 , 0, clause( 50, [ p( X, c ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.71/1.11 ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 54, [ p( X, d ) ] )
% 0.71/1.11 , clause( 110, [ p( X, d ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 resolution(
% 0.71/1.11 clause( 111, [ p( c, X ), p( d, X ) ] )
% 0.71/1.11 , clause( 42, [ p( c, X ), ~( q( d, X ) ) ] )
% 0.71/1.11 , 1, clause( 3, [ p( X, Y ), q( X, Y ) ] )
% 0.71/1.11 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, d ), :=( Y
% 0.71/1.11 , X )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 resolution(
% 0.71/1.11 clause( 112, [ p( d, X ), p( d, X ) ] )
% 0.71/1.11 , clause( 15, [ ~( p( c, X ) ), p( d, X ) ] )
% 0.71/1.11 , 0, clause( 111, [ p( c, X ), p( d, X ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.71/1.11 ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 factor(
% 0.71/1.11 clause( 113, [ p( d, X ) ] )
% 0.71/1.11 , clause( 112, [ p( d, X ), p( d, X ) ] )
% 0.71/1.11 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 71, [ p( d, X ) ] )
% 0.71/1.11 , clause( 113, [ p( d, X ) ] )
% 0.71/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 resolution(
% 0.71/1.11 clause( 114, [ ~( p( a, d ) ) ] )
% 0.71/1.11 , clause( 12, [ ~( p( a, X ) ), ~( p( X, b ) ) ] )
% 0.71/1.11 , 1, clause( 71, [ p( d, X ) ] )
% 0.71/1.11 , 0, substitution( 0, [ :=( X, d )] ), substitution( 1, [ :=( X, b )] )
% 0.71/1.11 ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 resolution(
% 0.71/1.11 clause( 115, [] )
% 0.71/1.11 , clause( 114, [ ~( p( a, d ) ) ] )
% 0.71/1.11 , 0, clause( 54, [ p( X, d ) ] )
% 0.71/1.11 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 subsumption(
% 0.71/1.11 clause( 72, [] )
% 0.71/1.11 , clause( 115, [] )
% 0.71/1.11 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 end.
% 0.71/1.11
% 0.71/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.11
% 0.71/1.11 Memory use:
% 0.71/1.11
% 0.71/1.11 space for terms: 775
% 0.71/1.11 space for clauses: 2991
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 clauses generated: 279
% 0.71/1.11 clauses kept: 73
% 0.71/1.11 clauses selected: 30
% 0.71/1.11 clauses deleted: 4
% 0.71/1.11 clauses inuse deleted: 0
% 0.71/1.11
% 0.71/1.11 subsentry: 787
% 0.71/1.11 literals s-matched: 441
% 0.71/1.11 literals matched: 441
% 0.71/1.11 full subsumption: 199
% 0.71/1.11
% 0.71/1.11 checksum: -1951705
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Bliksem ended
%------------------------------------------------------------------------------