%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN088-1.010 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 02:47:38 EDT 2022
% Result : Unsatisfiable 0.71s 1.10s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN088-1.010 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n027.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 : Tue Jul 12 08:41:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.71/1.10 *** allocated 10000 integers for termspace/termends
% 0.71/1.10 *** allocated 10000 integers for clauses
% 0.71/1.10 *** allocated 10000 integers for justifications
% 0.71/1.10 Bliksem 1.12
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 Automatic Strategy Selection
% 0.71/1.10
% 0.71/1.10 Clauses:
% 0.71/1.10 [
% 0.71/1.10 [ ~( p( a, a, a, a, a, a, a, a, a, a ) ) ],
% 0.71/1.10 [ p( X, Y, Z, T, U, W, V0, V1, V2, V3 ), ~( 'q_1'( X ) ), ~( 'q_2'( Y )
% 0.71/1.10 ), ~( 'q_3'( Z ) ), ~( 'q_4'( T ) ), ~( 'q_5'( U ) ), ~( 'q_6'( W ) ),
% 0.71/1.10 ~( 'q_7'( V0 ) ), ~( 'q_8'( V1 ) ), ~( 'q_9'( V2 ) ), ~( 'q_10'( V3 ) ) ]
% 0.71/1.10 ,
% 0.71/1.10 [ 'q_1'( a ) ],
% 0.71/1.10 [ 'q_1'( b ) ],
% 0.71/1.10 [ 'q_2'( a ) ],
% 0.71/1.10 [ 'q_2'( b ) ],
% 0.71/1.10 [ 'q_3'( a ) ],
% 0.71/1.10 [ 'q_3'( b ) ],
% 0.71/1.10 [ 'q_4'( a ) ],
% 0.71/1.10 [ 'q_4'( b ) ],
% 0.71/1.10 [ 'q_5'( a ) ],
% 0.71/1.10 [ 'q_5'( b ) ],
% 0.71/1.10 [ 'q_6'( a ) ],
% 0.71/1.10 [ 'q_6'( b ) ],
% 0.71/1.10 [ 'q_7'( a ) ],
% 0.71/1.10 [ 'q_7'( b ) ],
% 0.71/1.10 [ 'q_8'( a ) ],
% 0.71/1.10 [ 'q_8'( b ) ],
% 0.71/1.10 [ 'q_9'( a ) ],
% 0.71/1.10 [ 'q_9'( b ) ],
% 0.71/1.10 [ 'q_10'( a ) ],
% 0.71/1.10 [ 'q_10'( b ) ]
% 0.71/1.10 ] .
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 percentage equality = 0.000000, percentage horn = 1.000000
% 0.71/1.10 This is a near-Horn, non-equality problem
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 Options Used:
% 0.71/1.10
% 0.71/1.10 useres = 1
% 0.71/1.10 useparamod = 0
% 0.71/1.10 useeqrefl = 0
% 0.71/1.10 useeqfact = 0
% 0.71/1.10 usefactor = 1
% 0.71/1.10 usesimpsplitting = 0
% 0.71/1.10 usesimpdemod = 0
% 0.71/1.10 usesimpres = 4
% 0.71/1.10
% 0.71/1.10 resimpinuse = 1000
% 0.71/1.10 resimpclauses = 20000
% 0.71/1.10 substype = standard
% 0.71/1.10 backwardsubs = 1
% 0.71/1.10 selectoldest = 5
% 0.71/1.10
% 0.71/1.10 litorderings [0] = split
% 0.71/1.10 litorderings [1] = liftord
% 0.71/1.10
% 0.71/1.10 termordering = none
% 0.71/1.10
% 0.71/1.10 litapriori = 1
% 0.71/1.10 termapriori = 0
% 0.71/1.10 litaposteriori = 0
% 0.71/1.10 termaposteriori = 0
% 0.71/1.10 demodaposteriori = 0
% 0.71/1.10 ordereqreflfact = 0
% 0.71/1.10
% 0.71/1.10 litselect = negative
% 0.71/1.10
% 0.71/1.10 maxweight = 30000
% 0.71/1.10 maxdepth = 30000
% 0.71/1.10 maxlength = 115
% 0.71/1.10 maxnrvars = 195
% 0.71/1.10 excuselevel = 0
% 0.71/1.10 increasemaxweight = 0
% 0.71/1.10
% 0.71/1.10 maxselected = 10000000
% 0.71/1.10 maxnrclauses = 10000000
% 0.71/1.10
% 0.71/1.10 showgenerated = 0
% 0.71/1.10 showkept = 0
% 0.71/1.10 showselected = 0
% 0.71/1.10 showdeleted = 0
% 0.71/1.10 showresimp = 1
% 0.71/1.10 showstatus = 2000
% 0.71/1.10
% 0.71/1.10 prologoutput = 1
% 0.71/1.10 nrgoals = 5000000
% 0.71/1.10 totalproof = 1
% 0.71/1.10
% 0.71/1.10 Symbols occurring in the translation:
% 0.71/1.10
% 0.71/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.10 . [1, 2] (w:1, o:36, a:1, s:1, b:0),
% 0.71/1.10 ! [4, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.71/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.10 a [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.71/1.10 p [40, 10] (w:1, o:61, a:1, s:1, b:0),
% 0.71/1.10 'q_1' [51, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.71/1.10 'q_2' [52, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.71/1.10 'q_3' [53, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.71/1.10 'q_4' [54, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.71/1.10 'q_5' [55, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.71/1.10 'q_6' [56, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.71/1.10 'q_7' [57, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.71/1.10 'q_8' [58, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.71/1.10 'q_9' [59, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.71/1.10 'q_10' [60, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.71/1.10 b [61, 0] (w:1, o:20, a:1, s:1, b:0).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 Starting Search:
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 Bliksems!, er is een bewijs:
% 0.71/1.10 % SZS status Unsatisfiable
% 0.71/1.10 % SZS output start Refutation
% 0.71/1.10
% 0.71/1.10 clause( 0, [ ~( p( a, a, a, a, a, a, a, a, a, a ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 1, [ p( X, Y, Z, T, U, W, V0, V1, V2, V3 ), ~( 'q_2'( Y ) ), ~(
% 0.71/1.10 'q_3'( Z ) ), ~( 'q_4'( T ) ), ~( 'q_5'( U ) ), ~( 'q_6'( W ) ), ~( 'q_7'(
% 0.71/1.10 V0 ) ), ~( 'q_8'( V1 ) ), ~( 'q_9'( V2 ) ), ~( 'q_10'( V3 ) ), ~( 'q_1'(
% 0.71/1.10 X ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 2, [ 'q_1'( a ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 4, [ 'q_2'( a ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 6, [ 'q_3'( a ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 8, [ 'q_4'( a ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 10, [ 'q_5'( a ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 12, [ 'q_6'( a ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 14, [ 'q_7'( a ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 16, [ 'q_8'( a ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 18, [ 'q_9'( a ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 20, [ 'q_10'( a ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 22, [ p( a, X, Y, Z, T, U, W, V0, V1, V2 ), ~( 'q_3'( Y ) ), ~(
% 0.71/1.10 'q_4'( Z ) ), ~( 'q_5'( T ) ), ~( 'q_6'( U ) ), ~( 'q_7'( W ) ), ~( 'q_8'(
% 0.71/1.10 V0 ) ), ~( 'q_9'( V1 ) ), ~( 'q_10'( V2 ) ), ~( 'q_2'( X ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 30, [ p( a, a, X, Y, Z, T, U, W, V0, V1 ), ~( 'q_4'( Y ) ), ~(
% 0.71/1.10 'q_5'( Z ) ), ~( 'q_6'( T ) ), ~( 'q_7'( U ) ), ~( 'q_8'( W ) ), ~( 'q_9'(
% 0.71/1.10 V0 ) ), ~( 'q_10'( V1 ) ), ~( 'q_3'( X ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 58, [ p( a, a, a, X, Y, Z, T, U, W, V0 ), ~( 'q_5'( Y ) ), ~( 'q_6'(
% 0.71/1.10 Z ) ), ~( 'q_7'( T ) ), ~( 'q_8'( U ) ), ~( 'q_9'( W ) ), ~( 'q_10'( V0 )
% 0.71/1.10 ), ~( 'q_4'( X ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 114, [ p( a, a, a, a, X, Y, Z, T, U, W ), ~( 'q_6'( Y ) ), ~( 'q_7'(
% 0.71/1.10 Z ) ), ~( 'q_8'( T ) ), ~( 'q_9'( U ) ), ~( 'q_10'( W ) ), ~( 'q_5'( X )
% 0.71/1.10 ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 212, [ p( a, a, a, a, a, X, Y, Z, T, U ), ~( 'q_7'( Y ) ), ~( 'q_8'(
% 0.71/1.10 Z ) ), ~( 'q_9'( T ) ), ~( 'q_10'( U ) ), ~( 'q_6'( X ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 378, [ p( a, a, a, a, a, a, X, Y, Z, T ), ~( 'q_8'( Y ) ), ~( 'q_9'(
% 0.71/1.10 Z ) ), ~( 'q_10'( T ) ), ~( 'q_7'( X ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 618, [ p( a, a, a, a, a, a, a, X, Y, Z ), ~( 'q_9'( Y ) ), ~(
% 0.71/1.10 'q_10'( Z ) ), ~( 'q_8'( X ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 944, [ p( a, a, a, a, a, a, a, a, X, Y ), ~( 'q_10'( Y ) ), ~(
% 0.71/1.10 'q_9'( X ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 948, [ p( a, a, a, a, a, a, a, a, a, X ), ~( 'q_10'( X ) ) ] )
% 0.71/1.10 .
% 0.71/1.10 clause( 952, [] )
% 0.71/1.10 .
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 % SZS output end Refutation
% 0.71/1.10 found a proof!
% 0.71/1.10
% 0.71/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.10
% 0.71/1.10 initialclauses(
% 0.71/1.10 [ clause( 954, [ ~( p( a, a, a, a, a, a, a, a, a, a ) ) ] )
% 0.71/1.10 , clause( 955, [ p( X, Y, Z, T, U, W, V0, V1, V2, V3 ), ~( 'q_1'( X ) ),
% 0.71/1.10 ~( 'q_2'( Y ) ), ~( 'q_3'( Z ) ), ~( 'q_4'( T ) ), ~( 'q_5'( U ) ), ~(
% 0.71/1.10 'q_6'( W ) ), ~( 'q_7'( V0 ) ), ~( 'q_8'( V1 ) ), ~( 'q_9'( V2 ) ), ~(
% 0.71/1.10 'q_10'( V3 ) ) ] )
% 0.71/1.10 , clause( 956, [ 'q_1'( a ) ] )
% 0.71/1.10 , clause( 957, [ 'q_1'( b ) ] )
% 0.71/1.10 , clause( 958, [ 'q_2'( a ) ] )
% 0.71/1.10 , clause( 959, [ 'q_2'( b ) ] )
% 0.71/1.10 , clause( 960, [ 'q_3'( a ) ] )
% 0.71/1.10 , clause( 961, [ 'q_3'( b ) ] )
% 0.71/1.10 , clause( 962, [ 'q_4'( a ) ] )
% 0.71/1.10 , clause( 963, [ 'q_4'( b ) ] )
% 0.71/1.10 , clause( 964, [ 'q_5'( a ) ] )
% 0.71/1.10 , clause( 965, [ 'q_5'( b ) ] )
% 0.71/1.10 , clause( 966, [ 'q_6'( a ) ] )
% 0.71/1.10 , clause( 967, [ 'q_6'( b ) ] )
% 0.71/1.10 , clause( 968, [ 'q_7'( a ) ] )
% 0.71/1.10 , clause( 969, [ 'q_7'( b ) ] )
% 0.71/1.10 , clause( 970, [ 'q_8'( a ) ] )
% 0.71/1.10 , clause( 971, [ 'q_8'( b ) ] )
% 0.71/1.10 , clause( 972, [ 'q_9'( a ) ] )
% 0.71/1.10 , clause( 973, [ 'q_9'( b ) ] )
% 0.71/1.10 , clause( 974, [ 'q_10'( a ) ] )
% 0.71/1.10 , clause( 975, [ 'q_10'( b ) ] )
% 0.71/1.10 ] ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 0, [ ~( p( a, a, a, a, a, a, a, a, a, a ) ) ] )
% 0.71/1.10 , clause( 954, [ ~( p( a, a, a, a, a, a, a, a, a, a ) ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 1, [ p( X, Y, Z, T, U, W, V0, V1, V2, V3 ), ~( 'q_2'( Y ) ), ~(
% 0.71/1.10 'q_3'( Z ) ), ~( 'q_4'( T ) ), ~( 'q_5'( U ) ), ~( 'q_6'( W ) ), ~( 'q_7'(
% 0.71/1.10 V0 ) ), ~( 'q_8'( V1 ) ), ~( 'q_9'( V2 ) ), ~( 'q_10'( V3 ) ), ~( 'q_1'(
% 0.71/1.10 X ) ) ] )
% 0.71/1.10 , clause( 955, [ p( X, Y, Z, T, U, W, V0, V1, V2, V3 ), ~( 'q_1'( X ) ),
% 0.71/1.10 ~( 'q_2'( Y ) ), ~( 'q_3'( Z ) ), ~( 'q_4'( T ) ), ~( 'q_5'( U ) ), ~(
% 0.71/1.10 'q_6'( W ) ), ~( 'q_7'( V0 ) ), ~( 'q_8'( V1 ) ), ~( 'q_9'( V2 ) ), ~(
% 0.71/1.10 'q_10'( V3 ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.10 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 ), :=( V2, V2 ), :=( V3, V3 )] )
% 0.71/1.10 , permutation( 0, [ ==>( 0, 0 ), ==>( 1, 10 ), ==>( 2, 1 ), ==>( 3, 2 ),
% 0.71/1.10 ==>( 4, 3 ), ==>( 5, 4 ), ==>( 6, 5 ), ==>( 7, 6 ), ==>( 8, 7 ), ==>( 9,
% 0.71/1.10 8 ), ==>( 10, 9 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 2, [ 'q_1'( a ) ] )
% 0.71/1.10 , clause( 956, [ 'q_1'( a ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 4, [ 'q_2'( a ) ] )
% 0.71/1.10 , clause( 958, [ 'q_2'( a ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 6, [ 'q_3'( a ) ] )
% 0.71/1.10 , clause( 960, [ 'q_3'( a ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 8, [ 'q_4'( a ) ] )
% 0.71/1.10 , clause( 962, [ 'q_4'( a ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 10, [ 'q_5'( a ) ] )
% 0.71/1.10 , clause( 964, [ 'q_5'( a ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 12, [ 'q_6'( a ) ] )
% 0.71/1.10 , clause( 966, [ 'q_6'( a ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 14, [ 'q_7'( a ) ] )
% 0.71/1.10 , clause( 968, [ 'q_7'( a ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 16, [ 'q_8'( a ) ] )
% 0.71/1.10 , clause( 970, [ 'q_8'( a ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 18, [ 'q_9'( a ) ] )
% 0.71/1.10 , clause( 972, [ 'q_9'( a ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 20, [ 'q_10'( a ) ] )
% 0.71/1.10 , clause( 974, [ 'q_10'( a ) ] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 resolution(
% 0.71/1.10 clause( 976, [ p( a, X, Y, Z, T, U, W, V0, V1, V2 ), ~( 'q_2'( X ) ), ~(
% 0.71/1.10 'q_3'( Y ) ), ~( 'q_4'( Z ) ), ~( 'q_5'( T ) ), ~( 'q_6'( U ) ), ~( 'q_7'(
% 0.71/1.10 W ) ), ~( 'q_8'( V0 ) ), ~( 'q_9'( V1 ) ), ~( 'q_10'( V2 ) ) ] )
% 0.71/1.10 , clause( 1, [ p( X, Y, Z, T, U, W, V0, V1, V2, V3 ), ~( 'q_2'( Y ) ), ~(
% 0.71/1.10 'q_3'( Z ) ), ~( 'q_4'( T ) ), ~( 'q_5'( U ) ), ~( 'q_6'( W ) ), ~( 'q_7'(
% 0.71/1.10 V0 ) ), ~( 'q_8'( V1 ) ), ~( 'q_9'( V2 ) ), ~( 'q_10'( V3 ) ), ~( 'q_1'(
% 0.71/1.10 X ) ) ] )
% 0.71/1.10 , 10, clause( 2, [ 'q_1'( a ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, a ), :=( Y, X ), :=( Z, Y ), :=( T, Z ),
% 0.71/1.10 :=( U, T ), :=( W, U ), :=( V0, W ), :=( V1, V0 ), :=( V2, V1 ), :=( V3,
% 0.71/1.10 V2 )] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 22, [ p( a, X, Y, Z, T, U, W, V0, V1, V2 ), ~( 'q_3'( Y ) ), ~(
% 0.71/1.10 'q_4'( Z ) ), ~( 'q_5'( T ) ), ~( 'q_6'( U ) ), ~( 'q_7'( W ) ), ~( 'q_8'(
% 0.71/1.10 V0 ) ), ~( 'q_9'( V1 ) ), ~( 'q_10'( V2 ) ), ~( 'q_2'( X ) ) ] )
% 0.71/1.10 , clause( 976, [ p( a, X, Y, Z, T, U, W, V0, V1, V2 ), ~( 'q_2'( X ) ), ~(
% 0.71/1.10 'q_3'( Y ) ), ~( 'q_4'( Z ) ), ~( 'q_5'( T ) ), ~( 'q_6'( U ) ), ~( 'q_7'(
% 0.71/1.10 W ) ), ~( 'q_8'( V0 ) ), ~( 'q_9'( V1 ) ), ~( 'q_10'( V2 ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.10 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 ), :=( V2, V2 )] ),
% 0.71/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 9 ), ==>( 2, 1 ), ==>( 3, 2 ),
% 0.71/1.10 ==>( 4, 3 ), ==>( 5, 4 ), ==>( 6, 5 ), ==>( 7, 6 ), ==>( 8, 7 ), ==>( 9,
% 0.71/1.10 8 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 resolution(
% 0.71/1.10 clause( 977, [ p( a, a, X, Y, Z, T, U, W, V0, V1 ), ~( 'q_3'( X ) ), ~(
% 0.71/1.10 'q_4'( Y ) ), ~( 'q_5'( Z ) ), ~( 'q_6'( T ) ), ~( 'q_7'( U ) ), ~( 'q_8'(
% 0.71/1.10 W ) ), ~( 'q_9'( V0 ) ), ~( 'q_10'( V1 ) ) ] )
% 0.71/1.10 , clause( 22, [ p( a, X, Y, Z, T, U, W, V0, V1, V2 ), ~( 'q_3'( Y ) ), ~(
% 0.71/1.10 'q_4'( Z ) ), ~( 'q_5'( T ) ), ~( 'q_6'( U ) ), ~( 'q_7'( W ) ), ~( 'q_8'(
% 0.71/1.10 V0 ) ), ~( 'q_9'( V1 ) ), ~( 'q_10'( V2 ) ), ~( 'q_2'( X ) ) ] )
% 0.71/1.10 , 9, clause( 4, [ 'q_2'( a ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, a ), :=( Y, X ), :=( Z, Y ), :=( T, Z ),
% 0.71/1.10 :=( U, T ), :=( W, U ), :=( V0, W ), :=( V1, V0 ), :=( V2, V1 )] ),
% 0.71/1.10 substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 30, [ p( a, a, X, Y, Z, T, U, W, V0, V1 ), ~( 'q_4'( Y ) ), ~(
% 0.71/1.10 'q_5'( Z ) ), ~( 'q_6'( T ) ), ~( 'q_7'( U ) ), ~( 'q_8'( W ) ), ~( 'q_9'(
% 0.71/1.10 V0 ) ), ~( 'q_10'( V1 ) ), ~( 'q_3'( X ) ) ] )
% 0.71/1.10 , clause( 977, [ p( a, a, X, Y, Z, T, U, W, V0, V1 ), ~( 'q_3'( X ) ), ~(
% 0.71/1.10 'q_4'( Y ) ), ~( 'q_5'( Z ) ), ~( 'q_6'( T ) ), ~( 'q_7'( U ) ), ~( 'q_8'(
% 0.71/1.10 W ) ), ~( 'q_9'( V0 ) ), ~( 'q_10'( V1 ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.10 , U ), :=( W, W ), :=( V0, V0 ), :=( V1, V1 )] ), permutation( 0, [ ==>(
% 0.71/1.10 0, 0 ), ==>( 1, 8 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 ), ==>( 5, 4 ),
% 0.71/1.10 ==>( 6, 5 ), ==>( 7, 6 ), ==>( 8, 7 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 resolution(
% 0.71/1.10 clause( 978, [ p( a, a, a, X, Y, Z, T, U, W, V0 ), ~( 'q_4'( X ) ), ~(
% 0.71/1.10 'q_5'( Y ) ), ~( 'q_6'( Z ) ), ~( 'q_7'( T ) ), ~( 'q_8'( U ) ), ~( 'q_9'(
% 0.71/1.10 W ) ), ~( 'q_10'( V0 ) ) ] )
% 0.71/1.10 , clause( 30, [ p( a, a, X, Y, Z, T, U, W, V0, V1 ), ~( 'q_4'( Y ) ), ~(
% 0.71/1.10 'q_5'( Z ) ), ~( 'q_6'( T ) ), ~( 'q_7'( U ) ), ~( 'q_8'( W ) ), ~( 'q_9'(
% 0.71/1.10 V0 ) ), ~( 'q_10'( V1 ) ), ~( 'q_3'( X ) ) ] )
% 0.71/1.10 , 8, clause( 6, [ 'q_3'( a ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, a ), :=( Y, X ), :=( Z, Y ), :=( T, Z ),
% 0.71/1.10 :=( U, T ), :=( W, U ), :=( V0, W ), :=( V1, V0 )] ), substitution( 1, [] )
% 0.71/1.10 ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 58, [ p( a, a, a, X, Y, Z, T, U, W, V0 ), ~( 'q_5'( Y ) ), ~( 'q_6'(
% 0.71/1.10 Z ) ), ~( 'q_7'( T ) ), ~( 'q_8'( U ) ), ~( 'q_9'( W ) ), ~( 'q_10'( V0 )
% 0.71/1.10 ), ~( 'q_4'( X ) ) ] )
% 0.71/1.10 , clause( 978, [ p( a, a, a, X, Y, Z, T, U, W, V0 ), ~( 'q_4'( X ) ), ~(
% 0.71/1.10 'q_5'( Y ) ), ~( 'q_6'( Z ) ), ~( 'q_7'( T ) ), ~( 'q_8'( U ) ), ~( 'q_9'(
% 0.71/1.10 W ) ), ~( 'q_10'( V0 ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.10 , U ), :=( W, W ), :=( V0, V0 )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1
% 0.71/1.10 , 7 ), ==>( 2, 1 ), ==>( 3, 2 ), ==>( 4, 3 ), ==>( 5, 4 ), ==>( 6, 5 ),
% 0.71/1.10 ==>( 7, 6 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 resolution(
% 0.71/1.10 clause( 979, [ p( a, a, a, a, X, Y, Z, T, U, W ), ~( 'q_5'( X ) ), ~( 'q_6'(
% 0.71/1.10 Y ) ), ~( 'q_7'( Z ) ), ~( 'q_8'( T ) ), ~( 'q_9'( U ) ), ~( 'q_10'( W )
% 0.71/1.10 ) ] )
% 0.71/1.10 , clause( 58, [ p( a, a, a, X, Y, Z, T, U, W, V0 ), ~( 'q_5'( Y ) ), ~(
% 0.71/1.10 'q_6'( Z ) ), ~( 'q_7'( T ) ), ~( 'q_8'( U ) ), ~( 'q_9'( W ) ), ~(
% 0.71/1.10 'q_10'( V0 ) ), ~( 'q_4'( X ) ) ] )
% 0.71/1.10 , 7, clause( 8, [ 'q_4'( a ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, a ), :=( Y, X ), :=( Z, Y ), :=( T, Z ),
% 0.71/1.10 :=( U, T ), :=( W, U ), :=( V0, W )] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 114, [ p( a, a, a, a, X, Y, Z, T, U, W ), ~( 'q_6'( Y ) ), ~( 'q_7'(
% 0.71/1.10 Z ) ), ~( 'q_8'( T ) ), ~( 'q_9'( U ) ), ~( 'q_10'( W ) ), ~( 'q_5'( X )
% 0.71/1.10 ) ] )
% 0.71/1.10 , clause( 979, [ p( a, a, a, a, X, Y, Z, T, U, W ), ~( 'q_5'( X ) ), ~(
% 0.71/1.10 'q_6'( Y ) ), ~( 'q_7'( Z ) ), ~( 'q_8'( T ) ), ~( 'q_9'( U ) ), ~(
% 0.71/1.10 'q_10'( W ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.10 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 6 ), ==>( 2
% 0.71/1.10 , 1 ), ==>( 3, 2 ), ==>( 4, 3 ), ==>( 5, 4 ), ==>( 6, 5 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 resolution(
% 0.71/1.10 clause( 980, [ p( a, a, a, a, a, X, Y, Z, T, U ), ~( 'q_6'( X ) ), ~( 'q_7'(
% 0.71/1.10 Y ) ), ~( 'q_8'( Z ) ), ~( 'q_9'( T ) ), ~( 'q_10'( U ) ) ] )
% 0.71/1.10 , clause( 114, [ p( a, a, a, a, X, Y, Z, T, U, W ), ~( 'q_6'( Y ) ), ~(
% 0.71/1.10 'q_7'( Z ) ), ~( 'q_8'( T ) ), ~( 'q_9'( U ) ), ~( 'q_10'( W ) ), ~(
% 0.71/1.10 'q_5'( X ) ) ] )
% 0.71/1.10 , 6, clause( 10, [ 'q_5'( a ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, a ), :=( Y, X ), :=( Z, Y ), :=( T, Z ),
% 0.71/1.10 :=( U, T ), :=( W, U )] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 212, [ p( a, a, a, a, a, X, Y, Z, T, U ), ~( 'q_7'( Y ) ), ~( 'q_8'(
% 0.71/1.10 Z ) ), ~( 'q_9'( T ) ), ~( 'q_10'( U ) ), ~( 'q_6'( X ) ) ] )
% 0.71/1.10 , clause( 980, [ p( a, a, a, a, a, X, Y, Z, T, U ), ~( 'q_6'( X ) ), ~(
% 0.71/1.10 'q_7'( Y ) ), ~( 'q_8'( Z ) ), ~( 'q_9'( T ) ), ~( 'q_10'( U ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.10 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 5 ), ==>( 2, 1 ), ==>( 3
% 0.71/1.10 , 2 ), ==>( 4, 3 ), ==>( 5, 4 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 resolution(
% 0.71/1.10 clause( 981, [ p( a, a, a, a, a, a, X, Y, Z, T ), ~( 'q_7'( X ) ), ~( 'q_8'(
% 0.71/1.10 Y ) ), ~( 'q_9'( Z ) ), ~( 'q_10'( T ) ) ] )
% 0.71/1.10 , clause( 212, [ p( a, a, a, a, a, X, Y, Z, T, U ), ~( 'q_7'( Y ) ), ~(
% 0.71/1.10 'q_8'( Z ) ), ~( 'q_9'( T ) ), ~( 'q_10'( U ) ), ~( 'q_6'( X ) ) ] )
% 0.71/1.10 , 5, clause( 12, [ 'q_6'( a ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, a ), :=( Y, X ), :=( Z, Y ), :=( T, Z ),
% 0.71/1.10 :=( U, T )] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 378, [ p( a, a, a, a, a, a, X, Y, Z, T ), ~( 'q_8'( Y ) ), ~( 'q_9'(
% 0.71/1.10 Z ) ), ~( 'q_10'( T ) ), ~( 'q_7'( X ) ) ] )
% 0.71/1.10 , clause( 981, [ p( a, a, a, a, a, a, X, Y, Z, T ), ~( 'q_7'( X ) ), ~(
% 0.71/1.10 'q_8'( Y ) ), ~( 'q_9'( Z ) ), ~( 'q_10'( T ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 4 ), ==>( 2, 1 ), ==>( 3, 2 ),
% 0.71/1.10 ==>( 4, 3 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 resolution(
% 0.71/1.10 clause( 982, [ p( a, a, a, a, a, a, a, X, Y, Z ), ~( 'q_8'( X ) ), ~( 'q_9'(
% 0.71/1.10 Y ) ), ~( 'q_10'( Z ) ) ] )
% 0.71/1.10 , clause( 378, [ p( a, a, a, a, a, a, X, Y, Z, T ), ~( 'q_8'( Y ) ), ~(
% 0.71/1.10 'q_9'( Z ) ), ~( 'q_10'( T ) ), ~( 'q_7'( X ) ) ] )
% 0.71/1.10 , 4, clause( 14, [ 'q_7'( a ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, a ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ),
% 0.71/1.10 substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 618, [ p( a, a, a, a, a, a, a, X, Y, Z ), ~( 'q_9'( Y ) ), ~(
% 0.71/1.10 'q_10'( Z ) ), ~( 'q_8'( X ) ) ] )
% 0.71/1.10 , clause( 982, [ p( a, a, a, a, a, a, a, X, Y, Z ), ~( 'q_8'( X ) ), ~(
% 0.71/1.10 'q_9'( Y ) ), ~( 'q_10'( Z ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2, 1 ), ==>( 3, 2 )] )
% 0.71/1.10 ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 resolution(
% 0.71/1.10 clause( 983, [ p( a, a, a, a, a, a, a, a, X, Y ), ~( 'q_9'( X ) ), ~(
% 0.71/1.10 'q_10'( Y ) ) ] )
% 0.71/1.10 , clause( 618, [ p( a, a, a, a, a, a, a, X, Y, Z ), ~( 'q_9'( Y ) ), ~(
% 0.71/1.10 'q_10'( Z ) ), ~( 'q_8'( X ) ) ] )
% 0.71/1.10 , 3, clause( 16, [ 'q_8'( a ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, a ), :=( Y, X ), :=( Z, Y )] ),
% 0.71/1.10 substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 944, [ p( a, a, a, a, a, a, a, a, X, Y ), ~( 'q_10'( Y ) ), ~(
% 0.71/1.10 'q_9'( X ) ) ] )
% 0.71/1.10 , clause( 983, [ p( a, a, a, a, a, a, a, a, X, Y ), ~( 'q_9'( X ) ), ~(
% 0.71/1.10 'q_10'( Y ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.10 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 resolution(
% 0.71/1.10 clause( 984, [ p( a, a, a, a, a, a, a, a, a, X ), ~( 'q_10'( X ) ) ] )
% 0.71/1.10 , clause( 944, [ p( a, a, a, a, a, a, a, a, X, Y ), ~( 'q_10'( Y ) ), ~(
% 0.71/1.10 'q_9'( X ) ) ] )
% 0.71/1.10 , 2, clause( 18, [ 'q_9'( a ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, a ), :=( Y, X )] ), substitution( 1, [] )
% 0.71/1.10 ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 948, [ p( a, a, a, a, a, a, a, a, a, X ), ~( 'q_10'( X ) ) ] )
% 0.71/1.10 , clause( 984, [ p( a, a, a, a, a, a, a, a, a, X ), ~( 'q_10'( X ) ) ] )
% 0.71/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.71/1.10 1 )] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 resolution(
% 0.71/1.10 clause( 985, [ p( a, a, a, a, a, a, a, a, a, a ) ] )
% 0.71/1.10 , clause( 948, [ p( a, a, a, a, a, a, a, a, a, X ), ~( 'q_10'( X ) ) ] )
% 0.71/1.10 , 1, clause( 20, [ 'q_10'( a ) ] )
% 0.71/1.10 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 resolution(
% 0.71/1.10 clause( 986, [] )
% 0.71/1.10 , clause( 0, [ ~( p( a, a, a, a, a, a, a, a, a, a ) ) ] )
% 0.71/1.10 , 0, clause( 985, [ p( a, a, a, a, a, a, a, a, a, a ) ] )
% 0.71/1.10 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 subsumption(
% 0.71/1.10 clause( 952, [] )
% 0.71/1.10 , clause( 986, [] )
% 0.71/1.10 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 end.
% 0.71/1.10
% 0.71/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.10
% 0.71/1.10 Memory use:
% 0.71/1.10
% 0.71/1.10 space for terms: 14980
% 0.71/1.10 space for clauses: 52583
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 clauses generated: 953
% 0.71/1.10 clauses kept: 953
% 0.71/1.10 clauses selected: 847
% 0.71/1.10 clauses deleted: 0
% 0.71/1.10 clauses inuse deleted: 0
% 0.71/1.10
% 0.71/1.10 subsentry: 0
% 0.71/1.10 literals s-matched: 0
% 0.71/1.10 literals matched: 0
% 0.71/1.10 full subsumption: 0
% 0.71/1.10
% 0.71/1.10 checksum: -96434293
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 Bliksem ended
%------------------------------------------------------------------------------