TSTP Solution File: GEO015-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO015-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 : Sat Jul 16 02:50:52 EDT 2022
% Result : Unsatisfiable 0.83s 1.21s
% Output : Refutation 0.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO015-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Sat Jun 18 01:40:47 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.83/1.21 *** allocated 10000 integers for termspace/termends
% 0.83/1.21 *** allocated 10000 integers for clauses
% 0.83/1.21 *** allocated 10000 integers for justifications
% 0.83/1.21 Bliksem 1.12
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 Automatic Strategy Selection
% 0.83/1.21
% 0.83/1.21 Clauses:
% 0.83/1.21 [
% 0.83/1.21 [ equidistant( X, Y, Y, X ) ],
% 0.83/1.21 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 0.83/1.21 equidistant( Z, T, U, W ) ],
% 0.83/1.21 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.83/1.21 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.83/1.21 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.83/1.21 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.83/1.21 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 0.83/1.21 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.83/1.21 , V0, W, V1 ) ],
% 0.83/1.21 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.83/1.21 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 0.83/1.21 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.83/1.21 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 0.83/1.21 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.83/1.21 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.83/1.21 'lower_dimension_point_3' ) ) ],
% 0.83/1.21 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.83/1.21 'lower_dimension_point_1' ) ) ],
% 0.83/1.21 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.83/1.21 'lower_dimension_point_2' ) ) ],
% 0.83/1.21 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 0.83/1.21 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 0.83/1.21 between( U, X, T ), =( Y, Z ) ],
% 0.83/1.21 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.83/1.21 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.83/1.21 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.83/1.21 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.83/1.21 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.83/1.21 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.83/1.21 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.83/1.21 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.83/1.21 , Y, Z, W, T, U ), U ) ],
% 0.83/1.21 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.83/1.21 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 0.83/1.21 continuous( X, Y, Z, W, T, U ) ) ],
% 0.83/1.21 [ equidistant( X, Y, X, Y ) ],
% 0.83/1.21 [ equidistant( u, v, w, x ) ],
% 0.83/1.21 [ ~( equidistant( w, x, u, v ) ) ]
% 0.83/1.21 ] .
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 percentage equality = 0.118644, percentage horn = 0.761905
% 0.83/1.21 This is a problem with some equality
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 Options Used:
% 0.83/1.21
% 0.83/1.21 useres = 1
% 0.83/1.21 useparamod = 1
% 0.83/1.21 useeqrefl = 1
% 0.83/1.21 useeqfact = 1
% 0.83/1.21 usefactor = 1
% 0.83/1.21 usesimpsplitting = 0
% 0.83/1.21 usesimpdemod = 5
% 0.83/1.21 usesimpres = 3
% 0.83/1.21
% 0.83/1.21 resimpinuse = 1000
% 0.83/1.21 resimpclauses = 20000
% 0.83/1.21 substype = eqrewr
% 0.83/1.21 backwardsubs = 1
% 0.83/1.21 selectoldest = 5
% 0.83/1.21
% 0.83/1.21 litorderings [0] = split
% 0.83/1.21 litorderings [1] = extend the termordering, first sorting on arguments
% 0.83/1.21
% 0.83/1.21 termordering = kbo
% 0.83/1.21
% 0.83/1.21 litapriori = 0
% 0.83/1.21 termapriori = 1
% 0.83/1.21 litaposteriori = 0
% 0.83/1.21 termaposteriori = 0
% 0.83/1.21 demodaposteriori = 0
% 0.83/1.21 ordereqreflfact = 0
% 0.83/1.21
% 0.83/1.21 litselect = negord
% 0.83/1.21
% 0.83/1.21 maxweight = 15
% 0.83/1.21 maxdepth = 30000
% 0.83/1.21 maxlength = 115
% 0.83/1.21 maxnrvars = 195
% 0.83/1.21 excuselevel = 1
% 0.83/1.21 increasemaxweight = 1
% 0.83/1.21
% 0.83/1.21 maxselected = 10000000
% 0.83/1.21 maxnrclauses = 10000000
% 0.83/1.21
% 0.83/1.21 showgenerated = 0
% 0.83/1.21 showkept = 0
% 0.83/1.21 showselected = 0
% 0.83/1.21 showdeleted = 0
% 0.83/1.21 showresimp = 1
% 0.83/1.21 showstatus = 2000
% 0.83/1.21
% 0.83/1.21 prologoutput = 1
% 0.83/1.21 nrgoals = 5000000
% 0.83/1.21 totalproof = 1
% 0.83/1.21
% 0.83/1.21 Symbols occurring in the translation:
% 0.83/1.21
% 0.83/1.21 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.83/1.21 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 0.83/1.21 ! [4, 1] (w:0, o:27, a:1, s:1, b:0),
% 0.83/1.21 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.83/1.21 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.83/1.21 equidistant [41, 4] (w:1, o:58, a:1, s:1, b:0),
% 0.83/1.21 extension [46, 4] (w:1, o:59, a:1, s:1, b:0),
% 0.83/1.21 between [47, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.83/1.21 'inner_pasch' [53, 5] (w:1, o:60, a:1, s:1, b:0),
% 0.83/1.21 'lower_dimension_point_1' [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.83/1.21 'lower_dimension_point_2' [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.83/1.21 'lower_dimension_point_3' [56, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.83/1.21 euclid1 [57, 5] (w:1, o:61, a:1, s:1, b:0),
% 0.83/1.21 euclid2 [58, 5] (w:1, o:62, a:1, s:1, b:0),
% 0.83/1.21 continuous [59, 6] (w:1, o:63, a:1, s:1, b:0),
% 0.83/1.21 u [60, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.83/1.21 v [61, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.83/1.21 w [62, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.83/1.21 x [63, 0] (w:1, o:26, a:1, s:1, b:0).
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 Starting Search:
% 0.83/1.21
% 0.83/1.21 Resimplifying inuse:
% 0.83/1.21 Done
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 Bliksems!, er is een bewijs:
% 0.83/1.21 % SZS status Unsatisfiable
% 0.83/1.21 % SZS output start Refutation
% 0.83/1.21
% 0.83/1.21 clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) )
% 0.83/1.21 , equidistant( Z, T, U, W ) ] )
% 0.83/1.21 .
% 0.83/1.21 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.83/1.21 .
% 0.83/1.21 clause( 18, [ equidistant( X, Y, X, Y ) ] )
% 0.83/1.21 .
% 0.83/1.21 clause( 19, [ equidistant( u, v, w, x ) ] )
% 0.83/1.21 .
% 0.83/1.21 clause( 20, [ ~( equidistant( w, x, u, v ) ) ] )
% 0.83/1.21 .
% 0.83/1.21 clause( 34, [ ~( equidistant( X, Y, Z, T ) ), equidistant( U, W, Z, T ),
% 0.83/1.21 ~( equidistant( V0, V1, X, Y ) ), ~( equidistant( V0, V1, U, W ) ) ] )
% 0.83/1.21 .
% 0.83/1.21 clause( 1254, [ equidistant( X, Y, w, x ), ~( equidistant( Z, T, u, v ) ),
% 0.83/1.21 ~( equidistant( Z, T, X, Y ) ) ] )
% 0.83/1.21 .
% 0.83/1.21 clause( 1257, [ ~( equidistant( X, Y, u, v ) ), ~( equidistant( Z, T, X, Y
% 0.83/1.21 ) ), ~( equidistant( Z, T, w, x ) ) ] )
% 0.83/1.21 .
% 0.83/1.21 clause( 1262, [ ~( equidistant( u, v, w, x ) ) ] )
% 0.83/1.21 .
% 0.83/1.21 clause( 1264, [ ~( equidistant( X, Y, u, v ) ) ] )
% 0.83/1.21 .
% 0.83/1.21 clause( 1271, [] )
% 0.83/1.21 .
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 % SZS output end Refutation
% 0.83/1.21 found a proof!
% 0.83/1.21
% 0.83/1.21 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.83/1.21
% 0.83/1.21 initialclauses(
% 0.83/1.21 [ clause( 1273, [ equidistant( X, Y, Y, X ) ] )
% 0.83/1.21 , clause( 1274, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 0.83/1.21 W ) ), equidistant( Z, T, U, W ) ] )
% 0.83/1.21 , clause( 1275, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.83/1.21 , clause( 1276, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.83/1.21 , clause( 1277, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.83/1.21 , clause( 1278, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T,
% 0.83/1.21 W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) )
% 0.83/1.21 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 0.83/1.21 equidistant( U, V0, W, V1 ) ] )
% 0.83/1.21 , clause( 1279, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.83/1.21 , clause( 1280, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.83/1.21 Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 0.83/1.21 , clause( 1281, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.83/1.21 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 0.83/1.21 , clause( 1282, [ ~( between( 'lower_dimension_point_1',
% 0.83/1.21 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.83/1.21 , clause( 1283, [ ~( between( 'lower_dimension_point_2',
% 0.83/1.21 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.83/1.21 , clause( 1284, [ ~( between( 'lower_dimension_point_3',
% 0.83/1.21 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.83/1.21 , clause( 1285, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T,
% 0.83/1.21 Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U
% 0.83/1.21 , X ), between( U, X, T ), =( Y, Z ) ] )
% 0.83/1.21 , clause( 1286, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.83/1.21 ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 0.83/1.21 , clause( 1287, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.83/1.21 ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 0.83/1.21 , clause( 1288, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.83/1.21 ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ] )
% 0.83/1.21 , clause( 1289, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 0.83/1.21 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 0.83/1.21 continuous( X, Y, Z, W, T, U ), U ) ] )
% 0.83/1.21 , clause( 1290, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 0.83/1.21 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X,
% 0.83/1.21 W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 0.83/1.21 , clause( 1291, [ equidistant( X, Y, X, Y ) ] )
% 0.83/1.21 , clause( 1292, [ equidistant( u, v, w, x ) ] )
% 0.83/1.21 , clause( 1293, [ ~( equidistant( w, x, u, v ) ) ] )
% 0.83/1.21 ] ).
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 subsumption(
% 0.83/1.21 clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) )
% 0.83/1.21 , equidistant( Z, T, U, W ) ] )
% 0.83/1.21 , clause( 1274, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 0.83/1.21 W ) ), equidistant( Z, T, U, W ) ] )
% 0.83/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.83/1.21 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.83/1.21 , 2 )] ) ).
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 subsumption(
% 0.83/1.21 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.83/1.21 , clause( 1277, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.83/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.83/1.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 subsumption(
% 0.83/1.21 clause( 18, [ equidistant( X, Y, X, Y ) ] )
% 0.83/1.21 , clause( 1291, [ equidistant( X, Y, X, Y ) ] )
% 0.83/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.83/1.21 )] ) ).
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 subsumption(
% 0.83/1.21 clause( 19, [ equidistant( u, v, w, x ) ] )
% 0.83/1.21 , clause( 1292, [ equidistant( u, v, w, x ) ] )
% 0.83/1.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 subsumption(
% 0.83/1.21 clause( 20, [ ~( equidistant( w, x, u, v ) ) ] )
% 0.83/1.21 , clause( 1293, [ ~( equidistant( w, x, u, v ) ) ] )
% 0.83/1.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 resolution(
% 0.83/1.21 clause( 1471, [ ~( equidistant( X, Y, U, W ) ), equidistant( Z, T, U, W ),
% 0.83/1.21 ~( equidistant( V0, V1, X, Y ) ), ~( equidistant( V0, V1, Z, T ) ) ] )
% 0.83/1.21 , clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W )
% 0.83/1.21 ), equidistant( Z, T, U, W ) ] )
% 0.83/1.21 , 0, clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 0.83/1.21 W ) ), equidistant( Z, T, U, W ) ] )
% 0.83/1.21 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.83/1.21 :=( U, U ), :=( W, W )] ), substitution( 1, [ :=( X, V0 ), :=( Y, V1 ),
% 0.83/1.21 :=( Z, X ), :=( T, Y ), :=( U, Z ), :=( W, T )] )).
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 subsumption(
% 0.83/1.21 clause( 34, [ ~( equidistant( X, Y, Z, T ) ), equidistant( U, W, Z, T ),
% 0.83/1.21 ~( equidistant( V0, V1, X, Y ) ), ~( equidistant( V0, V1, U, W ) ) ] )
% 0.83/1.21 , clause( 1471, [ ~( equidistant( X, Y, U, W ) ), equidistant( Z, T, U, W )
% 0.83/1.21 , ~( equidistant( V0, V1, X, Y ) ), ~( equidistant( V0, V1, Z, T ) ) ] )
% 0.83/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, U ), :=( T, W ), :=( U
% 0.83/1.21 , Z ), :=( W, T ), :=( V0, V0 ), :=( V1, V1 )] ), permutation( 0, [ ==>(
% 0.83/1.21 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 resolution(
% 0.83/1.21 clause( 1478, [ equidistant( X, Y, w, x ), ~( equidistant( Z, T, u, v ) ),
% 0.83/1.21 ~( equidistant( Z, T, X, Y ) ) ] )
% 0.83/1.21 , clause( 34, [ ~( equidistant( X, Y, Z, T ) ), equidistant( U, W, Z, T ),
% 0.83/1.21 ~( equidistant( V0, V1, X, Y ) ), ~( equidistant( V0, V1, U, W ) ) ] )
% 0.83/1.21 , 0, clause( 19, [ equidistant( u, v, w, x ) ] )
% 0.83/1.21 , 0, substitution( 0, [ :=( X, u ), :=( Y, v ), :=( Z, w ), :=( T, x ),
% 0.83/1.21 :=( U, X ), :=( W, Y ), :=( V0, Z ), :=( V1, T )] ), substitution( 1, [] )
% 0.83/1.21 ).
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 subsumption(
% 0.83/1.21 clause( 1254, [ equidistant( X, Y, w, x ), ~( equidistant( Z, T, u, v ) ),
% 0.83/1.21 ~( equidistant( Z, T, X, Y ) ) ] )
% 0.83/1.21 , clause( 1478, [ equidistant( X, Y, w, x ), ~( equidistant( Z, T, u, v ) )
% 0.83/1.21 , ~( equidistant( Z, T, X, Y ) ) ] )
% 0.83/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.83/1.21 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 resolution(
% 0.83/1.21 clause( 1483, [ ~( equidistant( X, Y, u, v ) ), ~( equidistant( Z, T, X, Y
% 0.83/1.21 ) ), ~( equidistant( Z, T, w, x ) ) ] )
% 0.83/1.21 , clause( 20, [ ~( equidistant( w, x, u, v ) ) ] )
% 0.83/1.21 , 0, clause( 34, [ ~( equidistant( X, Y, Z, T ) ), equidistant( U, W, Z, T
% 0.83/1.21 ), ~( equidistant( V0, V1, X, Y ) ), ~( equidistant( V0, V1, U, W ) ) ]
% 0.83/1.21 )
% 0.83/1.21 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 0.83/1.21 Z, u ), :=( T, v ), :=( U, w ), :=( W, x ), :=( V0, Z ), :=( V1, T )] )
% 0.83/1.21 ).
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 subsumption(
% 0.83/1.21 clause( 1257, [ ~( equidistant( X, Y, u, v ) ), ~( equidistant( Z, T, X, Y
% 0.83/1.21 ) ), ~( equidistant( Z, T, w, x ) ) ] )
% 0.83/1.21 , clause( 1483, [ ~( equidistant( X, Y, u, v ) ), ~( equidistant( Z, T, X,
% 0.83/1.21 Y ) ), ~( equidistant( Z, T, w, x ) ) ] )
% 0.83/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.83/1.21 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 factor(
% 0.83/1.21 clause( 1486, [ ~( equidistant( u, v, u, v ) ), ~( equidistant( u, v, w, x
% 0.83/1.21 ) ) ] )
% 0.83/1.21 , clause( 1257, [ ~( equidistant( X, Y, u, v ) ), ~( equidistant( Z, T, X,
% 0.83/1.21 Y ) ), ~( equidistant( Z, T, w, x ) ) ] )
% 0.83/1.21 , 0, 1, substitution( 0, [ :=( X, u ), :=( Y, v ), :=( Z, u ), :=( T, v )] )
% 0.83/1.21 ).
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 resolution(
% 0.83/1.21 clause( 1488, [ ~( equidistant( u, v, w, x ) ) ] )
% 0.83/1.21 , clause( 1486, [ ~( equidistant( u, v, u, v ) ), ~( equidistant( u, v, w,
% 0.83/1.21 x ) ) ] )
% 0.83/1.21 , 0, clause( 18, [ equidistant( X, Y, X, Y ) ] )
% 0.83/1.21 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, u ), :=( Y, v )] )
% 0.83/1.21 ).
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 subsumption(
% 0.83/1.21 clause( 1262, [ ~( equidistant( u, v, w, x ) ) ] )
% 0.83/1.21 , clause( 1488, [ ~( equidistant( u, v, w, x ) ) ] )
% 0.83/1.21 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 factor(
% 0.83/1.21 clause( 1489, [ equidistant( u, v, w, x ), ~( equidistant( X, Y, u, v ) ) ]
% 0.83/1.21 )
% 0.83/1.21 , clause( 1254, [ equidistant( X, Y, w, x ), ~( equidistant( Z, T, u, v ) )
% 0.83/1.21 , ~( equidistant( Z, T, X, Y ) ) ] )
% 0.83/1.21 , 1, 2, substitution( 0, [ :=( X, u ), :=( Y, v ), :=( Z, X ), :=( T, Y )] )
% 0.83/1.21 ).
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 resolution(
% 0.83/1.21 clause( 1490, [ ~( equidistant( X, Y, u, v ) ) ] )
% 0.83/1.21 , clause( 1262, [ ~( equidistant( u, v, w, x ) ) ] )
% 0.83/1.21 , 0, clause( 1489, [ equidistant( u, v, w, x ), ~( equidistant( X, Y, u, v
% 0.83/1.21 ) ) ] )
% 0.83/1.21 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.83/1.21 ).
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 subsumption(
% 0.83/1.21 clause( 1264, [ ~( equidistant( X, Y, u, v ) ) ] )
% 0.83/1.21 , clause( 1490, [ ~( equidistant( X, Y, u, v ) ) ] )
% 0.83/1.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.83/1.21 )] ) ).
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 resolution(
% 0.83/1.21 clause( 1491, [] )
% 0.83/1.21 , clause( 1264, [ ~( equidistant( X, Y, u, v ) ) ] )
% 0.83/1.21 , 0, clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.83/1.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, extension( Y, X, u, v ) )] ),
% 0.83/1.21 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, u ), :=( T, v )] )).
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 subsumption(
% 0.83/1.21 clause( 1271, [] )
% 0.83/1.21 , clause( 1491, [] )
% 0.83/1.21 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 end.
% 0.83/1.21
% 0.83/1.21 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.83/1.21
% 0.83/1.21 Memory use:
% 0.83/1.21
% 0.83/1.21 space for terms: 33627
% 0.83/1.21 space for clauses: 62140
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 clauses generated: 9934
% 0.83/1.21 clauses kept: 1272
% 0.83/1.21 clauses selected: 114
% 0.83/1.21 clauses deleted: 18
% 0.83/1.21 clauses inuse deleted: 0
% 0.83/1.21
% 0.83/1.21 subsentry: 17043
% 0.83/1.21 literals s-matched: 12829
% 0.83/1.21 literals matched: 10460
% 0.83/1.21 full subsumption: 7537
% 0.83/1.21
% 0.83/1.21 checksum: -533510032
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 Bliksem ended
%------------------------------------------------------------------------------