TSTP Solution File: SYN005-1.010 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN005-1.010 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 02:46:37 EDT 2022
% Result : Unsatisfiable 0.64s 1.02s
% Output : Refutation 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN005-1.010 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : bliksem %s
% 0.12/0.34 % Computer : n007.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 : Tue Jul 12 04:23:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.64/1.02 *** allocated 10000 integers for termspace/termends
% 0.64/1.02 *** allocated 10000 integers for clauses
% 0.64/1.02 *** allocated 10000 integers for justifications
% 0.64/1.02 Bliksem 1.12
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 Automatic Strategy Selection
% 0.64/1.02
% 0.64/1.02 Clauses:
% 0.64/1.02 [
% 0.64/1.02 [ ~( 'p_1'( X, Y ) ), ~( 'p_2'( Y, Z ) ), ~( 'p_3'( Z, T ) ), ~( 'p_4'(
% 0.64/1.02 T, U ) ), ~( 'p_5'( U, W ) ), ~( 'p_6'( W, V0 ) ), ~( 'p_7'( V0, V1 ) ),
% 0.64/1.02 ~( 'p_8'( V1, V2 ) ), ~( 'p_9'( V2, V3 ) ), ~( 'p_10'( V3, X ) ) ],
% 0.64/1.02 [ 'p_1'( a, a ) ],
% 0.64/1.02 [ 'p_2'( a, a ) ],
% 0.64/1.02 [ 'p_3'( a, a ) ],
% 0.64/1.02 [ 'p_4'( a, a ) ],
% 0.64/1.02 [ 'p_5'( a, a ) ],
% 0.64/1.02 [ 'p_6'( a, a ) ],
% 0.64/1.02 [ 'p_7'( a, a ) ],
% 0.64/1.02 [ 'p_8'( a, a ) ],
% 0.64/1.02 [ 'p_9'( a, a ) ],
% 0.64/1.02 [ 'p_10'( a, a ) ]
% 0.64/1.02 ] .
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 percentage equality = 0.000000, percentage horn = 1.000000
% 0.64/1.02 This is a near-Horn, non-equality problem
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 Options Used:
% 0.64/1.02
% 0.64/1.02 useres = 1
% 0.64/1.02 useparamod = 0
% 0.64/1.02 useeqrefl = 0
% 0.64/1.02 useeqfact = 0
% 0.64/1.02 usefactor = 1
% 0.64/1.02 usesimpsplitting = 0
% 0.64/1.02 usesimpdemod = 0
% 0.64/1.02 usesimpres = 4
% 0.64/1.02
% 0.64/1.02 resimpinuse = 1000
% 0.64/1.02 resimpclauses = 20000
% 0.64/1.02 substype = standard
% 0.64/1.02 backwardsubs = 1
% 0.64/1.02 selectoldest = 5
% 0.64/1.02
% 0.64/1.02 litorderings [0] = split
% 0.64/1.02 litorderings [1] = liftord
% 0.64/1.02
% 0.64/1.02 termordering = none
% 0.64/1.02
% 0.64/1.02 litapriori = 1
% 0.64/1.02 termapriori = 0
% 0.64/1.02 litaposteriori = 0
% 0.64/1.02 termaposteriori = 0
% 0.64/1.02 demodaposteriori = 0
% 0.64/1.02 ordereqreflfact = 0
% 0.64/1.02
% 0.64/1.02 litselect = negative
% 0.64/1.02
% 0.64/1.02 maxweight = 30000
% 0.64/1.02 maxdepth = 30000
% 0.64/1.02 maxlength = 115
% 0.64/1.02 maxnrvars = 195
% 0.64/1.02 excuselevel = 0
% 0.64/1.02 increasemaxweight = 0
% 0.64/1.02
% 0.64/1.02 maxselected = 10000000
% 0.64/1.02 maxnrclauses = 10000000
% 0.64/1.02
% 0.64/1.02 showgenerated = 0
% 0.64/1.02 showkept = 0
% 0.64/1.02 showselected = 0
% 0.64/1.02 showdeleted = 0
% 0.64/1.02 showresimp = 1
% 0.64/1.02 showstatus = 2000
% 0.64/1.02
% 0.64/1.02 prologoutput = 1
% 0.64/1.02 nrgoals = 5000000
% 0.64/1.02 totalproof = 1
% 0.64/1.02
% 0.64/1.02 Symbols occurring in the translation:
% 0.64/1.02
% 0.64/1.02 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.64/1.02 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 0.64/1.02 ! [4, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.64/1.02 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.64/1.02 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.64/1.02 'p_1' [41, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.64/1.02 'p_2' [43, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.64/1.02 'p_3' [45, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.64/1.02 'p_4' [47, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.64/1.02 'p_5' [49, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.64/1.02 'p_6' [51, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.64/1.02 'p_7' [53, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.64/1.02 'p_8' [55, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.64/1.02 'p_9' [57, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.64/1.02 'p_10' [58, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.64/1.02 a [59, 0] (w:1, o:19, a:1, s:1, b:0).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 Starting Search:
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 Bliksems!, er is een bewijs:
% 0.64/1.02 % SZS status Unsatisfiable
% 0.64/1.02 % SZS output start Refutation
% 0.64/1.02
% 0.64/1.02 clause( 0, [ ~( 'p_9'( V2, V3 ) ), ~( 'p_2'( Y, Z ) ), ~( 'p_3'( Z, T ) ),
% 0.64/1.02 ~( 'p_4'( T, U ) ), ~( 'p_5'( U, W ) ), ~( 'p_6'( W, V0 ) ), ~( 'p_7'( V0
% 0.64/1.02 , V1 ) ), ~( 'p_8'( V1, V2 ) ), ~( 'p_10'( V3, X ) ), ~( 'p_1'( X, Y ) )
% 0.64/1.02 ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 1, [ 'p_1'( a, a ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 2, [ 'p_2'( a, a ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 3, [ 'p_3'( a, a ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 4, [ 'p_4'( a, a ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 5, [ 'p_5'( a, a ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 6, [ 'p_6'( a, a ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 7, [ 'p_7'( a, a ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 8, [ 'p_8'( a, a ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 9, [ 'p_9'( a, a ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 10, [ 'p_10'( a, a ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 11, [ ~( 'p_9'( X, Y ) ), ~( 'p_3'( Z, T ) ), ~( 'p_4'( T, U ) ),
% 0.64/1.02 ~( 'p_5'( U, W ) ), ~( 'p_6'( W, V0 ) ), ~( 'p_7'( V0, V1 ) ), ~( 'p_8'(
% 0.64/1.02 V1, X ) ), ~( 'p_10'( Y, a ) ), ~( 'p_2'( a, Z ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 12, [ ~( 'p_9'( X, Y ) ), ~( 'p_4'( Z, T ) ), ~( 'p_5'( T, U ) ),
% 0.64/1.02 ~( 'p_6'( U, W ) ), ~( 'p_7'( W, V0 ) ), ~( 'p_8'( V0, X ) ), ~( 'p_10'(
% 0.64/1.02 Y, a ) ), ~( 'p_3'( a, Z ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 13, [ ~( 'p_9'( X, Y ) ), ~( 'p_5'( Z, T ) ), ~( 'p_6'( T, U ) ),
% 0.64/1.02 ~( 'p_7'( U, W ) ), ~( 'p_8'( W, X ) ), ~( 'p_10'( Y, a ) ), ~( 'p_4'( a
% 0.64/1.02 , Z ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 14, [ ~( 'p_9'( X, Y ) ), ~( 'p_6'( Z, T ) ), ~( 'p_7'( T, U ) ),
% 0.64/1.02 ~( 'p_8'( U, X ) ), ~( 'p_10'( Y, a ) ), ~( 'p_5'( a, Z ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 15, [ ~( 'p_9'( X, Y ) ), ~( 'p_7'( Z, T ) ), ~( 'p_8'( T, X ) ),
% 0.64/1.02 ~( 'p_10'( Y, a ) ), ~( 'p_6'( a, Z ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 16, [ ~( 'p_9'( X, Y ) ), ~( 'p_8'( Z, X ) ), ~( 'p_10'( Y, a ) ),
% 0.64/1.02 ~( 'p_7'( a, Z ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 17, [ ~( 'p_9'( X, Y ) ), ~( 'p_10'( Y, a ) ), ~( 'p_8'( a, X ) ) ]
% 0.64/1.02 )
% 0.64/1.02 .
% 0.64/1.02 clause( 18, [ ~( 'p_10'( X, a ) ), ~( 'p_9'( a, X ) ) ] )
% 0.64/1.02 .
% 0.64/1.02 clause( 19, [] )
% 0.64/1.02 .
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 % SZS output end Refutation
% 0.64/1.02 found a proof!
% 0.64/1.02
% 0.64/1.02 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.64/1.02
% 0.64/1.02 initialclauses(
% 0.64/1.02 [ clause( 21, [ ~( 'p_1'( X, Y ) ), ~( 'p_2'( Y, Z ) ), ~( 'p_3'( Z, T ) )
% 0.64/1.02 , ~( 'p_4'( T, U ) ), ~( 'p_5'( U, W ) ), ~( 'p_6'( W, V0 ) ), ~( 'p_7'(
% 0.64/1.02 V0, V1 ) ), ~( 'p_8'( V1, V2 ) ), ~( 'p_9'( V2, V3 ) ), ~( 'p_10'( V3, X
% 0.64/1.02 ) ) ] )
% 0.64/1.02 , clause( 22, [ 'p_1'( a, a ) ] )
% 0.64/1.02 , clause( 23, [ 'p_2'( a, a ) ] )
% 0.64/1.02 , clause( 24, [ 'p_3'( a, a ) ] )
% 0.64/1.02 , clause( 25, [ 'p_4'( a, a ) ] )
% 0.64/1.02 , clause( 26, [ 'p_5'( a, a ) ] )
% 0.64/1.02 , clause( 27, [ 'p_6'( a, a ) ] )
% 0.64/1.02 , clause( 28, [ 'p_7'( a, a ) ] )
% 0.64/1.02 , clause( 29, [ 'p_8'( a, a ) ] )
% 0.64/1.02 , clause( 30, [ 'p_9'( a, a ) ] )
% 0.64/1.02 , clause( 31, [ 'p_10'( a, a ) ] )
% 0.64/1.02 ] ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 0, [ ~( 'p_9'( V2, V3 ) ), ~( 'p_2'( Y, Z ) ), ~( 'p_3'( Z, T ) ),
% 0.64/1.02 ~( 'p_4'( T, U ) ), ~( 'p_5'( U, W ) ), ~( 'p_6'( W, V0 ) ), ~( 'p_7'( V0
% 0.64/1.02 , V1 ) ), ~( 'p_8'( V1, V2 ) ), ~( 'p_10'( V3, X ) ), ~( 'p_1'( X, Y ) )
% 0.64/1.02 ] )
% 0.64/1.02 , clause( 21, [ ~( 'p_1'( X, Y ) ), ~( 'p_2'( Y, Z ) ), ~( 'p_3'( Z, T ) )
% 0.64/1.02 , ~( 'p_4'( T, U ) ), ~( 'p_5'( U, W ) ), ~( 'p_6'( W, V0 ) ), ~( 'p_7'(
% 0.64/1.02 V0, V1 ) ), ~( 'p_8'( V1, V2 ) ), ~( 'p_9'( V2, V3 ) ), ~( 'p_10'( V3, X
% 0.64/1.02 ) ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.64/1.02 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 ), :=( V2, V2 ), :=( V3, V3 )] )
% 0.64/1.02 , permutation( 0, [ ==>( 0, 9 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 0.64/1.02 ==>( 4, 4 ), ==>( 5, 5 ), ==>( 6, 6 ), ==>( 7, 7 ), ==>( 8, 0 ), ==>( 9,
% 0.64/1.02 8 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 1, [ 'p_1'( a, a ) ] )
% 0.64/1.02 , clause( 22, [ 'p_1'( a, a ) ] )
% 0.64/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 2, [ 'p_2'( a, a ) ] )
% 0.64/1.02 , clause( 23, [ 'p_2'( a, a ) ] )
% 0.64/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 3, [ 'p_3'( a, a ) ] )
% 0.64/1.02 , clause( 24, [ 'p_3'( a, a ) ] )
% 0.64/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 4, [ 'p_4'( a, a ) ] )
% 0.64/1.02 , clause( 25, [ 'p_4'( a, a ) ] )
% 0.64/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 5, [ 'p_5'( a, a ) ] )
% 0.64/1.02 , clause( 26, [ 'p_5'( a, a ) ] )
% 0.64/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 6, [ 'p_6'( a, a ) ] )
% 0.64/1.02 , clause( 27, [ 'p_6'( a, a ) ] )
% 0.64/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 7, [ 'p_7'( a, a ) ] )
% 0.64/1.02 , clause( 28, [ 'p_7'( a, a ) ] )
% 0.64/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 8, [ 'p_8'( a, a ) ] )
% 0.64/1.02 , clause( 29, [ 'p_8'( a, a ) ] )
% 0.64/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 9, [ 'p_9'( a, a ) ] )
% 0.64/1.02 , clause( 30, [ 'p_9'( a, a ) ] )
% 0.64/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 10, [ 'p_10'( a, a ) ] )
% 0.64/1.02 , clause( 31, [ 'p_10'( a, a ) ] )
% 0.64/1.02 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 32, [ ~( 'p_9'( X, Y ) ), ~( 'p_2'( a, Z ) ), ~( 'p_3'( Z, T ) ),
% 0.64/1.02 ~( 'p_4'( T, U ) ), ~( 'p_5'( U, W ) ), ~( 'p_6'( W, V0 ) ), ~( 'p_7'( V0
% 0.64/1.02 , V1 ) ), ~( 'p_8'( V1, X ) ), ~( 'p_10'( Y, a ) ) ] )
% 0.64/1.02 , clause( 0, [ ~( 'p_9'( V2, V3 ) ), ~( 'p_2'( Y, Z ) ), ~( 'p_3'( Z, T ) )
% 0.64/1.02 , ~( 'p_4'( T, U ) ), ~( 'p_5'( U, W ) ), ~( 'p_6'( W, V0 ) ), ~( 'p_7'(
% 0.64/1.02 V0, V1 ) ), ~( 'p_8'( V1, V2 ) ), ~( 'p_10'( V3, X ) ), ~( 'p_1'( X, Y )
% 0.64/1.02 ) ] )
% 0.64/1.02 , 9, clause( 1, [ 'p_1'( a, a ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, a ), :=( Y, a ), :=( Z, Z ), :=( T, T ),
% 0.64/1.02 :=( U, U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 ), :=( V2, X ), :=( V3,
% 0.64/1.02 Y )] ), substitution( 1, [] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 11, [ ~( 'p_9'( X, Y ) ), ~( 'p_3'( Z, T ) ), ~( 'p_4'( T, U ) ),
% 0.64/1.02 ~( 'p_5'( U, W ) ), ~( 'p_6'( W, V0 ) ), ~( 'p_7'( V0, V1 ) ), ~( 'p_8'(
% 0.64/1.02 V1, X ) ), ~( 'p_10'( Y, a ) ), ~( 'p_2'( a, Z ) ) ] )
% 0.64/1.02 , clause( 32, [ ~( 'p_9'( X, Y ) ), ~( 'p_2'( a, Z ) ), ~( 'p_3'( Z, T ) )
% 0.64/1.02 , ~( 'p_4'( T, U ) ), ~( 'p_5'( U, W ) ), ~( 'p_6'( W, V0 ) ), ~( 'p_7'(
% 0.64/1.02 V0, V1 ) ), ~( 'p_8'( V1, X ) ), ~( 'p_10'( Y, a ) ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.64/1.02 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 )] ), permutation( 0, [ ==>(
% 0.64/1.02 0, 0 ), ==>( 1, 8 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 ), ==>( 5, 4 ),
% 0.64/1.02 ==>( 6, 5 ), ==>( 7, 6 ), ==>( 8, 7 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 33, [ ~( 'p_9'( X, Y ) ), ~( 'p_3'( a, Z ) ), ~( 'p_4'( Z, T ) ),
% 0.64/1.02 ~( 'p_5'( T, U ) ), ~( 'p_6'( U, W ) ), ~( 'p_7'( W, V0 ) ), ~( 'p_8'( V0
% 0.64/1.02 , X ) ), ~( 'p_10'( Y, a ) ) ] )
% 0.64/1.02 , clause( 11, [ ~( 'p_9'( X, Y ) ), ~( 'p_3'( Z, T ) ), ~( 'p_4'( T, U ) )
% 0.64/1.02 , ~( 'p_5'( U, W ) ), ~( 'p_6'( W, V0 ) ), ~( 'p_7'( V0, V1 ) ), ~( 'p_8'(
% 0.64/1.02 V1, X ) ), ~( 'p_10'( Y, a ) ), ~( 'p_2'( a, Z ) ) ] )
% 0.64/1.02 , 8, clause( 2, [ 'p_2'( a, a ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, a ), :=( T, Z ),
% 0.64/1.02 :=( U, T ), :=( W, U ), :=( V0, W ), :=( V1, V0 )] ), substitution( 1, [] )
% 0.64/1.02 ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 12, [ ~( 'p_9'( X, Y ) ), ~( 'p_4'( Z, T ) ), ~( 'p_5'( T, U ) ),
% 0.64/1.02 ~( 'p_6'( U, W ) ), ~( 'p_7'( W, V0 ) ), ~( 'p_8'( V0, X ) ), ~( 'p_10'(
% 0.64/1.02 Y, a ) ), ~( 'p_3'( a, Z ) ) ] )
% 0.64/1.02 , clause( 33, [ ~( 'p_9'( X, Y ) ), ~( 'p_3'( a, Z ) ), ~( 'p_4'( Z, T ) )
% 0.64/1.02 , ~( 'p_5'( T, U ) ), ~( 'p_6'( U, W ) ), ~( 'p_7'( W, V0 ) ), ~( 'p_8'(
% 0.64/1.02 V0, X ) ), ~( 'p_10'( Y, a ) ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.64/1.02 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 0.64/1.02 , 7 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 ), ==>( 5, 4 ), ==>( 6, 5 ),
% 0.64/1.02 ==>( 7, 6 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 34, [ ~( 'p_9'( X, Y ) ), ~( 'p_4'( a, Z ) ), ~( 'p_5'( Z, T ) ),
% 0.64/1.02 ~( 'p_6'( T, U ) ), ~( 'p_7'( U, W ) ), ~( 'p_8'( W, X ) ), ~( 'p_10'( Y
% 0.64/1.02 , a ) ) ] )
% 0.64/1.02 , clause( 12, [ ~( 'p_9'( X, Y ) ), ~( 'p_4'( Z, T ) ), ~( 'p_5'( T, U ) )
% 0.64/1.02 , ~( 'p_6'( U, W ) ), ~( 'p_7'( W, V0 ) ), ~( 'p_8'( V0, X ) ), ~( 'p_10'(
% 0.64/1.02 Y, a ) ), ~( 'p_3'( a, Z ) ) ] )
% 0.64/1.02 , 7, clause( 3, [ 'p_3'( a, a ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, a ), :=( T, Z ),
% 0.64/1.02 :=( U, T ), :=( W, U ), :=( V0, W )] ), substitution( 1, [] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 13, [ ~( 'p_9'( X, Y ) ), ~( 'p_5'( Z, T ) ), ~( 'p_6'( T, U ) ),
% 0.64/1.02 ~( 'p_7'( U, W ) ), ~( 'p_8'( W, X ) ), ~( 'p_10'( Y, a ) ), ~( 'p_4'( a
% 0.64/1.02 , Z ) ) ] )
% 0.64/1.02 , clause( 34, [ ~( 'p_9'( X, Y ) ), ~( 'p_4'( a, Z ) ), ~( 'p_5'( Z, T ) )
% 0.64/1.02 , ~( 'p_6'( T, U ) ), ~( 'p_7'( U, W ) ), ~( 'p_8'( W, X ) ), ~( 'p_10'(
% 0.64/1.02 Y, a ) ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.64/1.02 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 6 ), ==>( 2
% 0.64/1.02 , 1 ), ==>( 3, 2 ), ==>( 4, 3 ), ==>( 5, 4 ), ==>( 6, 5 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 35, [ ~( 'p_9'( X, Y ) ), ~( 'p_5'( a, Z ) ), ~( 'p_6'( Z, T ) ),
% 0.64/1.02 ~( 'p_7'( T, U ) ), ~( 'p_8'( U, X ) ), ~( 'p_10'( Y, a ) ) ] )
% 0.64/1.02 , clause( 13, [ ~( 'p_9'( X, Y ) ), ~( 'p_5'( Z, T ) ), ~( 'p_6'( T, U ) )
% 0.64/1.02 , ~( 'p_7'( U, W ) ), ~( 'p_8'( W, X ) ), ~( 'p_10'( Y, a ) ), ~( 'p_4'(
% 0.64/1.02 a, Z ) ) ] )
% 0.64/1.02 , 6, clause( 4, [ 'p_4'( a, a ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, a ), :=( T, Z ),
% 0.64/1.02 :=( U, T ), :=( W, U )] ), substitution( 1, [] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 14, [ ~( 'p_9'( X, Y ) ), ~( 'p_6'( Z, T ) ), ~( 'p_7'( T, U ) ),
% 0.64/1.02 ~( 'p_8'( U, X ) ), ~( 'p_10'( Y, a ) ), ~( 'p_5'( a, Z ) ) ] )
% 0.64/1.02 , clause( 35, [ ~( 'p_9'( X, Y ) ), ~( 'p_5'( a, Z ) ), ~( 'p_6'( Z, T ) )
% 0.64/1.02 , ~( 'p_7'( T, U ) ), ~( 'p_8'( U, X ) ), ~( 'p_10'( Y, a ) ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.64/1.02 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 5 ), ==>( 2, 1 ), ==>( 3
% 0.64/1.02 , 2 ), ==>( 4, 3 ), ==>( 5, 4 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 36, [ ~( 'p_9'( X, Y ) ), ~( 'p_6'( a, Z ) ), ~( 'p_7'( Z, T ) ),
% 0.64/1.02 ~( 'p_8'( T, X ) ), ~( 'p_10'( Y, a ) ) ] )
% 0.64/1.02 , clause( 14, [ ~( 'p_9'( X, Y ) ), ~( 'p_6'( Z, T ) ), ~( 'p_7'( T, U ) )
% 0.64/1.02 , ~( 'p_8'( U, X ) ), ~( 'p_10'( Y, a ) ), ~( 'p_5'( a, Z ) ) ] )
% 0.64/1.02 , 5, clause( 5, [ 'p_5'( a, a ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, a ), :=( T, Z ),
% 0.64/1.02 :=( U, T )] ), substitution( 1, [] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 15, [ ~( 'p_9'( X, Y ) ), ~( 'p_7'( Z, T ) ), ~( 'p_8'( T, X ) ),
% 0.64/1.02 ~( 'p_10'( Y, a ) ), ~( 'p_6'( a, Z ) ) ] )
% 0.64/1.02 , clause( 36, [ ~( 'p_9'( X, Y ) ), ~( 'p_6'( a, Z ) ), ~( 'p_7'( Z, T ) )
% 0.64/1.02 , ~( 'p_8'( T, X ) ), ~( 'p_10'( Y, a ) ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.64/1.02 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 4 ), ==>( 2, 1 ), ==>( 3, 2 ),
% 0.64/1.02 ==>( 4, 3 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 37, [ ~( 'p_9'( X, Y ) ), ~( 'p_7'( a, Z ) ), ~( 'p_8'( Z, X ) ),
% 0.64/1.02 ~( 'p_10'( Y, a ) ) ] )
% 0.64/1.02 , clause( 15, [ ~( 'p_9'( X, Y ) ), ~( 'p_7'( Z, T ) ), ~( 'p_8'( T, X ) )
% 0.64/1.02 , ~( 'p_10'( Y, a ) ), ~( 'p_6'( a, Z ) ) ] )
% 0.64/1.02 , 4, clause( 6, [ 'p_6'( a, a ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, a ), :=( T, Z )] ),
% 0.64/1.02 substitution( 1, [] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 16, [ ~( 'p_9'( X, Y ) ), ~( 'p_8'( Z, X ) ), ~( 'p_10'( Y, a ) ),
% 0.64/1.02 ~( 'p_7'( a, Z ) ) ] )
% 0.64/1.02 , clause( 37, [ ~( 'p_9'( X, Y ) ), ~( 'p_7'( a, Z ) ), ~( 'p_8'( Z, X ) )
% 0.64/1.02 , ~( 'p_10'( Y, a ) ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.64/1.02 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2, 1 ), ==>( 3, 2 )] )
% 0.64/1.02 ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 38, [ ~( 'p_9'( X, Y ) ), ~( 'p_8'( a, X ) ), ~( 'p_10'( Y, a ) ) ]
% 0.64/1.02 )
% 0.64/1.02 , clause( 16, [ ~( 'p_9'( X, Y ) ), ~( 'p_8'( Z, X ) ), ~( 'p_10'( Y, a ) )
% 0.64/1.02 , ~( 'p_7'( a, Z ) ) ] )
% 0.64/1.02 , 3, clause( 7, [ 'p_7'( a, a ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, a )] ),
% 0.64/1.02 substitution( 1, [] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 17, [ ~( 'p_9'( X, Y ) ), ~( 'p_10'( Y, a ) ), ~( 'p_8'( a, X ) ) ]
% 0.64/1.02 )
% 0.64/1.02 , clause( 38, [ ~( 'p_9'( X, Y ) ), ~( 'p_8'( a, X ) ), ~( 'p_10'( Y, a ) )
% 0.64/1.02 ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.64/1.02 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 39, [ ~( 'p_9'( a, X ) ), ~( 'p_10'( X, a ) ) ] )
% 0.64/1.02 , clause( 17, [ ~( 'p_9'( X, Y ) ), ~( 'p_10'( Y, a ) ), ~( 'p_8'( a, X ) )
% 0.64/1.02 ] )
% 0.64/1.02 , 2, clause( 8, [ 'p_8'( a, a ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, a ), :=( Y, X )] ), substitution( 1, [] )
% 0.64/1.02 ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 18, [ ~( 'p_10'( X, a ) ), ~( 'p_9'( a, X ) ) ] )
% 0.64/1.02 , clause( 39, [ ~( 'p_9'( a, X ) ), ~( 'p_10'( X, a ) ) ] )
% 0.64/1.02 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.64/1.02 0 )] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 40, [ ~( 'p_10'( a, a ) ) ] )
% 0.64/1.02 , clause( 18, [ ~( 'p_10'( X, a ) ), ~( 'p_9'( a, X ) ) ] )
% 0.64/1.02 , 1, clause( 9, [ 'p_9'( a, a ) ] )
% 0.64/1.02 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 resolution(
% 0.64/1.02 clause( 41, [] )
% 0.64/1.02 , clause( 40, [ ~( 'p_10'( a, a ) ) ] )
% 0.64/1.02 , 0, clause( 10, [ 'p_10'( a, a ) ] )
% 0.64/1.02 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 subsumption(
% 0.64/1.02 clause( 19, [] )
% 0.64/1.02 , clause( 41, [] )
% 0.64/1.02 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 end.
% 0.64/1.02
% 0.64/1.02 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.64/1.02
% 0.64/1.02 Memory use:
% 0.64/1.02
% 0.64/1.02 space for terms: 455
% 0.64/1.02 space for clauses: 958
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 clauses generated: 20
% 0.64/1.02 clauses kept: 20
% 0.64/1.02 clauses selected: 19
% 0.64/1.02 clauses deleted: 0
% 0.64/1.02 clauses inuse deleted: 0
% 0.64/1.02
% 0.64/1.02 subsentry: 0
% 0.64/1.02 literals s-matched: 0
% 0.64/1.02 literals matched: 0
% 0.64/1.02 full subsumption: 0
% 0.64/1.02
% 0.64/1.02 checksum: 22289520
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 Bliksem ended
%------------------------------------------------------------------------------