TSTP Solution File: SYN726-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN726-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 21 02:54:14 EDT 2022
% Result : Unsatisfiable 0.45s 1.07s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN726-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n028.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 Jul 11 22:50:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.45/1.07 *** allocated 10000 integers for termspace/termends
% 0.45/1.07 *** allocated 10000 integers for clauses
% 0.45/1.07 *** allocated 10000 integers for justifications
% 0.45/1.07 Bliksem 1.12
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 Automatic Strategy Selection
% 0.45/1.07
% 0.45/1.07 Clauses:
% 0.45/1.07 [
% 0.45/1.07 [ p( X, Y ), ~( p( X, Z ) ), ~( p( Z, Y ) ) ],
% 0.45/1.07 [ q( X, Y ), ~( q( X, Z ) ), ~( q( Z, Y ) ) ],
% 0.45/1.07 [ q( X, Y ), ~( q( Y, X ) ) ],
% 0.45/1.07 [ p( X, Y ), q( X, Y ) ],
% 0.45/1.07 [ ~( p( sk1, sk2 ) ) ],
% 0.45/1.07 [ ~( q( sk3, sk4 ) ) ]
% 0.45/1.07 ] .
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 percentage equality = 0.000000, percentage horn = 0.833333
% 0.45/1.07 This a non-horn, non-equality problem
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 Options Used:
% 0.45/1.07
% 0.45/1.07 useres = 1
% 0.45/1.07 useparamod = 0
% 0.45/1.07 useeqrefl = 0
% 0.45/1.07 useeqfact = 0
% 0.45/1.07 usefactor = 1
% 0.45/1.07 usesimpsplitting = 0
% 0.45/1.07 usesimpdemod = 0
% 0.45/1.07 usesimpres = 3
% 0.45/1.07
% 0.45/1.07 resimpinuse = 1000
% 0.45/1.07 resimpclauses = 20000
% 0.45/1.07 substype = standard
% 0.45/1.07 backwardsubs = 1
% 0.45/1.07 selectoldest = 5
% 0.45/1.07
% 0.45/1.07 litorderings [0] = split
% 0.45/1.07 litorderings [1] = liftord
% 0.45/1.07
% 0.45/1.07 termordering = none
% 0.45/1.07
% 0.45/1.07 litapriori = 1
% 0.45/1.07 termapriori = 0
% 0.45/1.07 litaposteriori = 0
% 0.45/1.07 termaposteriori = 0
% 0.45/1.07 demodaposteriori = 0
% 0.45/1.07 ordereqreflfact = 0
% 0.45/1.07
% 0.45/1.07 litselect = none
% 0.45/1.07
% 0.45/1.07 maxweight = 15
% 0.45/1.07 maxdepth = 30000
% 0.45/1.07 maxlength = 115
% 0.45/1.07 maxnrvars = 195
% 0.45/1.07 excuselevel = 1
% 0.45/1.07 increasemaxweight = 1
% 0.45/1.07
% 0.45/1.07 maxselected = 10000000
% 0.45/1.07 maxnrclauses = 10000000
% 0.45/1.07
% 0.45/1.07 showgenerated = 0
% 0.45/1.07 showkept = 0
% 0.45/1.07 showselected = 0
% 0.45/1.07 showdeleted = 0
% 0.45/1.07 showresimp = 1
% 0.45/1.07 showstatus = 2000
% 0.45/1.07
% 0.45/1.07 prologoutput = 1
% 0.45/1.07 nrgoals = 5000000
% 0.45/1.07 totalproof = 1
% 0.45/1.07
% 0.45/1.07 Symbols occurring in the translation:
% 0.45/1.07
% 0.45/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.45/1.07 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.45/1.07 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.45/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.07 p [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.45/1.07 q [43, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.45/1.07 sk1 [44, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.45/1.07 sk2 [45, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.45/1.07 sk3 [46, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.45/1.07 sk4 [47, 0] (w:1, o:8, a:1, s:1, b:0).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 Starting Search:
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 Bliksems!, er is een bewijs:
% 0.45/1.07 % SZS status Unsatisfiable
% 0.45/1.07 % SZS output start Refutation
% 0.45/1.07
% 0.45/1.07 clause( 0, [ ~( p( X, Z ) ), ~( p( Z, Y ) ), p( X, Y ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 1, [ ~( q( X, Z ) ), ~( q( Z, Y ) ), q( X, Y ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 2, [ ~( q( Y, X ) ), q( X, Y ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 3, [ p( X, Y ), q( X, Y ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 4, [ ~( p( sk1, sk2 ) ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 5, [ ~( q( sk3, sk4 ) ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 6, [ p( sk3, sk4 ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 7, [ p( Y, X ), q( X, Y ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 8, [ ~( q( sk4, sk3 ) ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 12, [ ~( p( X, sk2 ) ), ~( p( sk1, X ) ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 13, [ p( sk4, sk3 ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 14, [ ~( p( sk3, X ) ), p( sk4, X ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 15, [ p( X, sk3 ), ~( p( X, sk4 ) ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 21, [ ~( q( X, sk3 ) ), ~( q( sk4, X ) ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 42, [ p( sk3, X ), ~( q( sk4, X ) ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 43, [ p( X, sk4 ), ~( q( X, sk3 ) ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 51, [ p( sk4, X ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 54, [ p( X, Y ), ~( p( X, sk4 ) ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 56, [ p( sk3, X ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 72, [ p( X, sk3 ) ] )
% 0.45/1.07 .
% 0.45/1.07 clause( 73, [] )
% 0.45/1.07 .
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 % SZS output end Refutation
% 0.45/1.07 found a proof!
% 0.45/1.07
% 0.45/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.07
% 0.45/1.07 initialclauses(
% 0.45/1.07 [ clause( 75, [ p( X, Y ), ~( p( X, Z ) ), ~( p( Z, Y ) ) ] )
% 0.45/1.07 , clause( 76, [ q( X, Y ), ~( q( X, Z ) ), ~( q( Z, Y ) ) ] )
% 0.45/1.07 , clause( 77, [ q( X, Y ), ~( q( Y, X ) ) ] )
% 0.45/1.07 , clause( 78, [ p( X, Y ), q( X, Y ) ] )
% 0.45/1.07 , clause( 79, [ ~( p( sk1, sk2 ) ) ] )
% 0.45/1.07 , clause( 80, [ ~( q( sk3, sk4 ) ) ] )
% 0.45/1.07 ] ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 0, [ ~( p( X, Z ) ), ~( p( Z, Y ) ), p( X, Y ) ] )
% 0.45/1.07 , clause( 75, [ p( X, Y ), ~( p( X, Z ) ), ~( p( Z, Y ) ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.07 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 1, [ ~( q( X, Z ) ), ~( q( Z, Y ) ), q( X, Y ) ] )
% 0.45/1.07 , clause( 76, [ q( X, Y ), ~( q( X, Z ) ), ~( q( Z, Y ) ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.45/1.07 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 2, [ ~( q( Y, X ) ), q( X, Y ) ] )
% 0.45/1.07 , clause( 77, [ q( X, Y ), ~( q( Y, X ) ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.45/1.07 ), ==>( 1, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 3, [ p( X, Y ), q( X, Y ) ] )
% 0.45/1.07 , clause( 78, [ p( X, Y ), q( X, Y ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.07 ), ==>( 1, 1 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 4, [ ~( p( sk1, sk2 ) ) ] )
% 0.45/1.07 , clause( 79, [ ~( p( sk1, sk2 ) ) ] )
% 0.45/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 5, [ ~( q( sk3, sk4 ) ) ] )
% 0.45/1.07 , clause( 80, [ ~( q( sk3, sk4 ) ) ] )
% 0.45/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 resolution(
% 0.45/1.07 clause( 92, [ p( sk3, sk4 ) ] )
% 0.45/1.07 , clause( 5, [ ~( q( sk3, sk4 ) ) ] )
% 0.45/1.07 , 0, clause( 3, [ p( X, Y ), q( X, Y ) ] )
% 0.45/1.07 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, sk3 ), :=( Y, sk4 )] )
% 0.45/1.07 ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 6, [ p( sk3, sk4 ) ] )
% 0.45/1.07 , clause( 92, [ p( sk3, sk4 ) ] )
% 0.45/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 resolution(
% 0.45/1.07 clause( 93, [ q( Y, X ), p( X, Y ) ] )
% 0.45/1.07 , clause( 2, [ ~( q( Y, X ) ), q( X, Y ) ] )
% 0.45/1.07 , 0, clause( 3, [ p( X, Y ), q( X, Y ) ] )
% 0.45/1.07 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.45/1.07 , X ), :=( Y, Y )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 7, [ p( Y, X ), q( X, Y ) ] )
% 0.45/1.07 , clause( 93, [ q( Y, X ), p( X, Y ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 0.45/1.07 ), ==>( 1, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 resolution(
% 0.45/1.07 clause( 94, [ ~( q( sk4, sk3 ) ) ] )
% 0.45/1.07 , clause( 5, [ ~( q( sk3, sk4 ) ) ] )
% 0.45/1.07 , 0, clause( 2, [ ~( q( Y, X ) ), q( X, Y ) ] )
% 0.45/1.07 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, sk3 ), :=( Y, sk4 )] )
% 0.45/1.07 ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 8, [ ~( q( sk4, sk3 ) ) ] )
% 0.45/1.07 , clause( 94, [ ~( q( sk4, sk3 ) ) ] )
% 0.45/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 resolution(
% 0.45/1.07 clause( 95, [ ~( p( sk1, X ) ), ~( p( X, sk2 ) ) ] )
% 0.45/1.07 , clause( 4, [ ~( p( sk1, sk2 ) ) ] )
% 0.45/1.07 , 0, clause( 0, [ ~( p( X, Z ) ), ~( p( Z, Y ) ), p( X, Y ) ] )
% 0.45/1.07 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, sk1 ), :=( Y, sk2 ),
% 0.45/1.07 :=( Z, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 12, [ ~( p( X, sk2 ) ), ~( p( sk1, X ) ) ] )
% 0.45/1.07 , clause( 95, [ ~( p( sk1, X ) ), ~( p( X, sk2 ) ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.07 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 resolution(
% 0.45/1.07 clause( 96, [ p( sk4, sk3 ) ] )
% 0.45/1.07 , clause( 8, [ ~( q( sk4, sk3 ) ) ] )
% 0.45/1.07 , 0, clause( 3, [ p( X, Y ), q( X, Y ) ] )
% 0.45/1.07 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, sk4 ), :=( Y, sk3 )] )
% 0.45/1.07 ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 13, [ p( sk4, sk3 ) ] )
% 0.45/1.07 , clause( 96, [ p( sk4, sk3 ) ] )
% 0.45/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 resolution(
% 0.45/1.07 clause( 97, [ ~( p( sk3, X ) ), p( sk4, X ) ] )
% 0.45/1.07 , clause( 0, [ ~( p( X, Z ) ), ~( p( Z, Y ) ), p( X, Y ) ] )
% 0.45/1.07 , 0, clause( 13, [ p( sk4, sk3 ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, sk4 ), :=( Y, X ), :=( Z, sk3 )] ),
% 0.45/1.07 substitution( 1, [] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 14, [ ~( p( sk3, X ) ), p( sk4, X ) ] )
% 0.45/1.07 , clause( 97, [ ~( p( sk3, X ) ), p( sk4, X ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.45/1.07 1 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 resolution(
% 0.45/1.07 clause( 100, [ ~( p( X, sk4 ) ), p( X, sk3 ) ] )
% 0.45/1.07 , clause( 0, [ ~( p( X, Z ) ), ~( p( Z, Y ) ), p( X, Y ) ] )
% 0.45/1.07 , 1, clause( 13, [ p( sk4, sk3 ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, sk3 ), :=( Z, sk4 )] ),
% 0.45/1.07 substitution( 1, [] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 15, [ p( X, sk3 ), ~( p( X, sk4 ) ) ] )
% 0.45/1.07 , clause( 100, [ ~( p( X, sk4 ) ), p( X, sk3 ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.07 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 resolution(
% 0.45/1.07 clause( 101, [ ~( q( sk4, X ) ), ~( q( X, sk3 ) ) ] )
% 0.45/1.07 , clause( 8, [ ~( q( sk4, sk3 ) ) ] )
% 0.45/1.07 , 0, clause( 1, [ ~( q( X, Z ) ), ~( q( Z, Y ) ), q( X, Y ) ] )
% 0.45/1.07 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, sk4 ), :=( Y, sk3 ),
% 0.45/1.07 :=( Z, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 21, [ ~( q( X, sk3 ) ), ~( q( sk4, X ) ) ] )
% 0.45/1.07 , clause( 101, [ ~( q( sk4, X ) ), ~( q( X, sk3 ) ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.07 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 resolution(
% 0.45/1.07 clause( 102, [ ~( q( sk4, X ) ), p( sk3, X ) ] )
% 0.45/1.07 , clause( 21, [ ~( q( X, sk3 ) ), ~( q( sk4, X ) ) ] )
% 0.45/1.07 , 0, clause( 7, [ p( Y, X ), q( X, Y ) ] )
% 0.45/1.07 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.45/1.07 , sk3 )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 42, [ p( sk3, X ), ~( q( sk4, X ) ) ] )
% 0.45/1.07 , clause( 102, [ ~( q( sk4, X ) ), p( sk3, X ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.07 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 resolution(
% 0.45/1.07 clause( 105, [ ~( q( X, sk3 ) ), p( X, sk4 ) ] )
% 0.45/1.07 , clause( 21, [ ~( q( X, sk3 ) ), ~( q( sk4, X ) ) ] )
% 0.45/1.07 , 1, clause( 7, [ p( Y, X ), q( X, Y ) ] )
% 0.45/1.07 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, sk4 ),
% 0.45/1.07 :=( Y, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 43, [ p( X, sk4 ), ~( q( X, sk3 ) ) ] )
% 0.45/1.07 , clause( 105, [ ~( q( X, sk3 ) ), p( X, sk4 ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.45/1.07 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 resolution(
% 0.45/1.07 clause( 106, [ p( sk3, X ), p( sk4, X ) ] )
% 0.45/1.07 , clause( 42, [ p( sk3, X ), ~( q( sk4, X ) ) ] )
% 0.45/1.07 , 1, clause( 3, [ p( X, Y ), q( X, Y ) ] )
% 0.45/1.07 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, sk4 ),
% 0.45/1.07 :=( Y, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 resolution(
% 0.45/1.07 clause( 107, [ p( sk4, X ), p( sk4, X ) ] )
% 0.45/1.07 , clause( 14, [ ~( p( sk3, X ) ), p( sk4, X ) ] )
% 0.45/1.07 , 0, clause( 106, [ p( sk3, X ), p( sk4, X ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.45/1.07 ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 factor(
% 0.45/1.07 clause( 108, [ p( sk4, X ) ] )
% 0.45/1.07 , clause( 107, [ p( sk4, X ), p( sk4, X ) ] )
% 0.45/1.07 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 51, [ p( sk4, X ) ] )
% 0.45/1.07 , clause( 108, [ p( sk4, X ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 resolution(
% 0.45/1.07 clause( 110, [ ~( p( X, sk4 ) ), p( X, Y ) ] )
% 0.45/1.07 , clause( 0, [ ~( p( X, Z ) ), ~( p( Z, Y ) ), p( X, Y ) ] )
% 0.45/1.07 , 1, clause( 51, [ p( sk4, X ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, sk4 )] ),
% 0.45/1.07 substitution( 1, [ :=( X, Y )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 54, [ p( X, Y ), ~( p( X, sk4 ) ) ] )
% 0.45/1.07 , clause( 110, [ ~( p( X, sk4 ) ), p( X, Y ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.45/1.07 ), ==>( 1, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 resolution(
% 0.45/1.07 clause( 111, [ p( sk3, X ) ] )
% 0.45/1.07 , clause( 54, [ p( X, Y ), ~( p( X, sk4 ) ) ] )
% 0.45/1.07 , 1, clause( 6, [ p( sk3, sk4 ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, sk3 ), :=( Y, X )] ), substitution( 1, [] )
% 0.45/1.07 ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 56, [ p( sk3, X ) ] )
% 0.45/1.07 , clause( 111, [ p( sk3, X ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 resolution(
% 0.45/1.07 clause( 112, [ p( X, sk4 ), p( X, sk3 ) ] )
% 0.45/1.07 , clause( 43, [ p( X, sk4 ), ~( q( X, sk3 ) ) ] )
% 0.45/1.07 , 1, clause( 3, [ p( X, Y ), q( X, Y ) ] )
% 0.45/1.07 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.45/1.07 , sk3 )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 resolution(
% 0.45/1.07 clause( 113, [ p( X, sk3 ), p( X, sk3 ) ] )
% 0.45/1.07 , clause( 15, [ p( X, sk3 ), ~( p( X, sk4 ) ) ] )
% 0.45/1.07 , 1, clause( 112, [ p( X, sk4 ), p( X, sk3 ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.45/1.07 ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 factor(
% 0.45/1.07 clause( 114, [ p( X, sk3 ) ] )
% 0.45/1.07 , clause( 113, [ p( X, sk3 ), p( X, sk3 ) ] )
% 0.45/1.07 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 72, [ p( X, sk3 ) ] )
% 0.45/1.07 , clause( 114, [ p( X, sk3 ) ] )
% 0.45/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 resolution(
% 0.45/1.07 clause( 115, [ ~( p( sk3, sk2 ) ) ] )
% 0.45/1.07 , clause( 12, [ ~( p( X, sk2 ) ), ~( p( sk1, X ) ) ] )
% 0.45/1.07 , 1, clause( 72, [ p( X, sk3 ) ] )
% 0.45/1.07 , 0, substitution( 0, [ :=( X, sk3 )] ), substitution( 1, [ :=( X, sk1 )] )
% 0.45/1.07 ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 resolution(
% 0.45/1.07 clause( 116, [] )
% 0.45/1.07 , clause( 115, [ ~( p( sk3, sk2 ) ) ] )
% 0.45/1.07 , 0, clause( 56, [ p( sk3, X ) ] )
% 0.45/1.07 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, sk2 )] )).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 subsumption(
% 0.45/1.07 clause( 73, [] )
% 0.45/1.07 , clause( 116, [] )
% 0.45/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 end.
% 0.45/1.07
% 0.45/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.07
% 0.45/1.07 Memory use:
% 0.45/1.07
% 0.45/1.07 space for terms: 802
% 0.45/1.07 space for clauses: 3009
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 clauses generated: 281
% 0.45/1.07 clauses kept: 74
% 0.45/1.07 clauses selected: 29
% 0.45/1.07 clauses deleted: 4
% 0.45/1.07 clauses inuse deleted: 0
% 0.45/1.07
% 0.45/1.07 subsentry: 849
% 0.45/1.07 literals s-matched: 478
% 0.45/1.07 literals matched: 478
% 0.45/1.07 full subsumption: 221
% 0.45/1.07
% 0.45/1.07 checksum: 1852746
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 Bliksem ended
%------------------------------------------------------------------------------