TSTP Solution File: GEO022-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO022-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.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 02:50:56 EDT 2022
% Result : Unsatisfiable 0.80s 1.26s
% Output : Refutation 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO022-2 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n006.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Fri Jun 17 19:19:10 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.80/1.26 *** allocated 10000 integers for termspace/termends
% 0.80/1.26 *** allocated 10000 integers for clauses
% 0.80/1.26 *** allocated 10000 integers for justifications
% 0.80/1.26 Bliksem 1.12
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 Automatic Strategy Selection
% 0.80/1.26
% 0.80/1.26 Clauses:
% 0.80/1.26 [
% 0.80/1.26 [ equidistant( X, Y, Y, X ) ],
% 0.80/1.26 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 0.80/1.26 equidistant( Z, T, U, W ) ],
% 0.80/1.26 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.80/1.26 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.80/1.26 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.80/1.26 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.80/1.26 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 0.80/1.26 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.80/1.26 , V0, W, V1 ) ],
% 0.80/1.26 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.80/1.26 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 0.80/1.26 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.80/1.26 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 0.80/1.26 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.80/1.26 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.80/1.26 'lower_dimension_point_3' ) ) ],
% 0.80/1.26 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.80/1.26 'lower_dimension_point_1' ) ) ],
% 0.80/1.26 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.80/1.26 'lower_dimension_point_2' ) ) ],
% 0.80/1.26 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 0.80/1.26 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 0.80/1.26 between( U, X, T ), =( Y, Z ) ],
% 0.80/1.26 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.80/1.26 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.80/1.26 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.80/1.26 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.80/1.26 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.80/1.26 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.80/1.26 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.80/1.26 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.80/1.26 , Y, Z, W, T, U ), U ) ],
% 0.80/1.26 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.80/1.26 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 0.80/1.26 continuous( X, Y, Z, W, T, U ) ) ],
% 0.80/1.26 [ equidistant( u, v, w, x ) ],
% 0.80/1.26 [ equidistant( w, x, y, z ) ],
% 0.80/1.26 [ ~( equidistant( u, v, y, z ) ) ]
% 0.80/1.26 ] .
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 percentage equality = 0.118644, percentage horn = 0.761905
% 0.80/1.26 This is a problem with some equality
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 Options Used:
% 0.80/1.26
% 0.80/1.26 useres = 1
% 0.80/1.26 useparamod = 1
% 0.80/1.26 useeqrefl = 1
% 0.80/1.26 useeqfact = 1
% 0.80/1.26 usefactor = 1
% 0.80/1.26 usesimpsplitting = 0
% 0.80/1.26 usesimpdemod = 5
% 0.80/1.26 usesimpres = 3
% 0.80/1.26
% 0.80/1.26 resimpinuse = 1000
% 0.80/1.26 resimpclauses = 20000
% 0.80/1.26 substype = eqrewr
% 0.80/1.26 backwardsubs = 1
% 0.80/1.26 selectoldest = 5
% 0.80/1.26
% 0.80/1.26 litorderings [0] = split
% 0.80/1.26 litorderings [1] = extend the termordering, first sorting on arguments
% 0.80/1.26
% 0.80/1.26 termordering = kbo
% 0.80/1.26
% 0.80/1.26 litapriori = 0
% 0.80/1.26 termapriori = 1
% 0.80/1.26 litaposteriori = 0
% 0.80/1.26 termaposteriori = 0
% 0.80/1.26 demodaposteriori = 0
% 0.80/1.26 ordereqreflfact = 0
% 0.80/1.26
% 0.80/1.26 litselect = negord
% 0.80/1.26
% 0.80/1.26 maxweight = 15
% 0.80/1.26 maxdepth = 30000
% 0.80/1.26 maxlength = 115
% 0.80/1.26 maxnrvars = 195
% 0.80/1.26 excuselevel = 1
% 0.80/1.26 increasemaxweight = 1
% 0.80/1.26
% 0.80/1.26 maxselected = 10000000
% 0.80/1.26 maxnrclauses = 10000000
% 0.80/1.26
% 0.80/1.26 showgenerated = 0
% 0.80/1.26 showkept = 0
% 0.80/1.26 showselected = 0
% 0.80/1.26 showdeleted = 0
% 0.80/1.26 showresimp = 1
% 0.80/1.26 showstatus = 2000
% 0.80/1.26
% 0.80/1.26 prologoutput = 1
% 0.80/1.26 nrgoals = 5000000
% 0.80/1.26 totalproof = 1
% 0.80/1.26
% 0.80/1.26 Symbols occurring in the translation:
% 0.80/1.26
% 0.80/1.26 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.80/1.26 . [1, 2] (w:1, o:34, a:1, s:1, b:0),
% 0.80/1.26 ! [4, 1] (w:0, o:29, a:1, s:1, b:0),
% 0.80/1.26 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.80/1.26 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.80/1.26 equidistant [41, 4] (w:1, o:60, a:1, s:1, b:0),
% 0.80/1.26 extension [46, 4] (w:1, o:61, a:1, s:1, b:0),
% 0.80/1.26 between [47, 3] (w:1, o:59, a:1, s:1, b:0),
% 0.80/1.26 'inner_pasch' [53, 5] (w:1, o:62, a:1, s:1, b:0),
% 0.80/1.26 'lower_dimension_point_1' [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.80/1.26 'lower_dimension_point_2' [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.80/1.26 'lower_dimension_point_3' [56, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.80/1.26 euclid1 [57, 5] (w:1, o:63, a:1, s:1, b:0),
% 0.80/1.26 euclid2 [58, 5] (w:1, o:64, a:1, s:1, b:0),
% 0.80/1.26 continuous [59, 6] (w:1, o:65, a:1, s:1, b:0),
% 0.80/1.26 u [60, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.80/1.26 v [61, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.80/1.26 w [62, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.80/1.26 x [63, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.80/1.26 y [64, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.80/1.26 z [65, 0] (w:1, o:28, a:1, s:1, b:0).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 Starting Search:
% 0.80/1.26
% 0.80/1.26 Resimplifying inuse:
% 0.80/1.26 Done
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 Bliksems!, er is een bewijs:
% 0.80/1.26 % SZS status Unsatisfiable
% 0.80/1.26 % SZS output start Refutation
% 0.80/1.26
% 0.80/1.26 clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) )
% 0.80/1.26 , equidistant( Z, T, U, W ) ] )
% 0.80/1.26 .
% 0.80/1.26 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.80/1.26 .
% 0.80/1.26 clause( 18, [ equidistant( u, v, w, x ) ] )
% 0.80/1.26 .
% 0.80/1.26 clause( 19, [ equidistant( w, x, y, z ) ] )
% 0.80/1.26 .
% 0.80/1.26 clause( 20, [ ~( equidistant( u, v, y, z ) ) ] )
% 0.80/1.26 .
% 0.80/1.26 clause( 21, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Z, T ) ]
% 0.80/1.26 )
% 0.80/1.26 .
% 0.80/1.26 clause( 35, [ ~( equidistant( X, Y, Z, T ) ), equidistant( U, W, Z, T ),
% 0.80/1.26 ~( equidistant( V0, V1, X, Y ) ), ~( equidistant( V0, V1, U, W ) ) ] )
% 0.80/1.26 .
% 0.80/1.26 clause( 37, [ ~( equidistant( X, Y, u, v ) ), ~( equidistant( X, Y, y, z )
% 0.80/1.26 ) ] )
% 0.80/1.26 .
% 0.80/1.26 clause( 1021, [ equidistant( X, Y, X, Y ) ] )
% 0.80/1.26 .
% 0.80/1.26 clause( 1339, [ ~( equidistant( X, Y, Z, T ) ), equidistant( w, x, Z, T ),
% 0.80/1.26 ~( equidistant( u, v, X, Y ) ) ] )
% 0.80/1.26 .
% 0.80/1.26 clause( 1349, [ equidistant( w, x, u, v ) ] )
% 0.80/1.26 .
% 0.80/1.26 clause( 1466, [] )
% 0.80/1.26 .
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 % SZS output end Refutation
% 0.80/1.26 found a proof!
% 0.80/1.26
% 0.80/1.26 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.80/1.26
% 0.80/1.26 initialclauses(
% 0.80/1.26 [ clause( 1468, [ equidistant( X, Y, Y, X ) ] )
% 0.80/1.26 , clause( 1469, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 0.80/1.26 W ) ), equidistant( Z, T, U, W ) ] )
% 0.80/1.26 , clause( 1470, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.80/1.26 , clause( 1471, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.80/1.26 , clause( 1472, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.80/1.26 , clause( 1473, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T,
% 0.80/1.26 W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) )
% 0.80/1.26 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 0.80/1.26 equidistant( U, V0, W, V1 ) ] )
% 0.80/1.26 , clause( 1474, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.80/1.26 , clause( 1475, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.80/1.26 Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 0.80/1.26 , clause( 1476, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.80/1.26 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 0.80/1.26 , clause( 1477, [ ~( between( 'lower_dimension_point_1',
% 0.80/1.26 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.80/1.26 , clause( 1478, [ ~( between( 'lower_dimension_point_2',
% 0.80/1.26 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.80/1.26 , clause( 1479, [ ~( between( 'lower_dimension_point_3',
% 0.80/1.26 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.80/1.26 , clause( 1480, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T,
% 0.80/1.26 Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U
% 0.80/1.26 , X ), between( U, X, T ), =( Y, Z ) ] )
% 0.80/1.26 , clause( 1481, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.80/1.26 ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 0.80/1.26 , clause( 1482, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.80/1.26 ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 0.80/1.26 , clause( 1483, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.80/1.26 ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ] )
% 0.80/1.26 , clause( 1484, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 0.80/1.26 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 0.80/1.26 continuous( X, Y, Z, W, T, U ), U ) ] )
% 0.80/1.26 , clause( 1485, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 0.80/1.26 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X,
% 0.80/1.26 W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 0.80/1.26 , clause( 1486, [ equidistant( u, v, w, x ) ] )
% 0.80/1.26 , clause( 1487, [ equidistant( w, x, y, z ) ] )
% 0.80/1.26 , clause( 1488, [ ~( equidistant( u, v, y, z ) ) ] )
% 0.80/1.26 ] ).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 subsumption(
% 0.80/1.26 clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) )
% 0.80/1.26 , equidistant( Z, T, U, W ) ] )
% 0.80/1.26 , clause( 1469, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 0.80/1.26 W ) ), equidistant( Z, T, U, W ) ] )
% 0.80/1.26 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.80/1.26 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.80/1.26 , 2 )] ) ).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 subsumption(
% 0.80/1.26 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.80/1.26 , clause( 1472, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.80/1.26 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.80/1.26 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 subsumption(
% 0.80/1.26 clause( 18, [ equidistant( u, v, w, x ) ] )
% 0.80/1.26 , clause( 1486, [ equidistant( u, v, w, x ) ] )
% 0.80/1.26 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 subsumption(
% 0.80/1.26 clause( 19, [ equidistant( w, x, y, z ) ] )
% 0.80/1.26 , clause( 1487, [ equidistant( w, x, y, z ) ] )
% 0.80/1.26 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 subsumption(
% 0.80/1.26 clause( 20, [ ~( equidistant( u, v, y, z ) ) ] )
% 0.80/1.26 , clause( 1488, [ ~( equidistant( u, v, y, z ) ) ] )
% 0.80/1.26 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 factor(
% 0.80/1.26 clause( 1666, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Z, T ) ]
% 0.80/1.26 )
% 0.80/1.26 , clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W )
% 0.80/1.26 ), equidistant( Z, T, U, W ) ] )
% 0.80/1.26 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.80/1.26 :=( U, Z ), :=( W, T )] )).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 subsumption(
% 0.80/1.26 clause( 21, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Z, T ) ]
% 0.80/1.26 )
% 0.80/1.26 , clause( 1666, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Z, T )
% 0.80/1.26 ] )
% 0.80/1.26 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.80/1.26 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 resolution(
% 0.80/1.26 clause( 1667, [ ~( equidistant( X, Y, U, W ) ), equidistant( Z, T, U, W ),
% 0.80/1.26 ~( equidistant( V0, V1, X, Y ) ), ~( equidistant( V0, V1, Z, T ) ) ] )
% 0.80/1.26 , clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W )
% 0.80/1.26 ), equidistant( Z, T, U, W ) ] )
% 0.80/1.26 , 0, clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 0.80/1.26 W ) ), equidistant( Z, T, U, W ) ] )
% 0.80/1.26 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.80/1.26 :=( U, U ), :=( W, W )] ), substitution( 1, [ :=( X, V0 ), :=( Y, V1 ),
% 0.80/1.26 :=( Z, X ), :=( T, Y ), :=( U, Z ), :=( W, T )] )).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 subsumption(
% 0.80/1.26 clause( 35, [ ~( equidistant( X, Y, Z, T ) ), equidistant( U, W, Z, T ),
% 0.80/1.26 ~( equidistant( V0, V1, X, Y ) ), ~( equidistant( V0, V1, U, W ) ) ] )
% 0.80/1.26 , clause( 1667, [ ~( equidistant( X, Y, U, W ) ), equidistant( Z, T, U, W )
% 0.80/1.26 , ~( equidistant( V0, V1, X, Y ) ), ~( equidistant( V0, V1, Z, T ) ) ] )
% 0.80/1.26 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, U ), :=( T, W ), :=( U
% 0.80/1.26 , Z ), :=( W, T ), :=( V0, V0 ), :=( V1, V1 )] ), permutation( 0, [ ==>(
% 0.80/1.26 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 resolution(
% 0.80/1.26 clause( 1674, [ ~( equidistant( X, Y, u, v ) ), ~( equidistant( X, Y, y, z
% 0.80/1.26 ) ) ] )
% 0.80/1.26 , clause( 20, [ ~( equidistant( u, v, y, z ) ) ] )
% 0.80/1.26 , 0, clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 0.80/1.26 W ) ), equidistant( Z, T, U, W ) ] )
% 0.80/1.26 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 0.80/1.26 Z, u ), :=( T, v ), :=( U, y ), :=( W, z )] )).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 subsumption(
% 0.80/1.26 clause( 37, [ ~( equidistant( X, Y, u, v ) ), ~( equidistant( X, Y, y, z )
% 0.80/1.26 ) ] )
% 0.80/1.26 , clause( 1674, [ ~( equidistant( X, Y, u, v ) ), ~( equidistant( X, Y, y,
% 0.80/1.26 z ) ) ] )
% 0.80/1.26 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.80/1.26 ), ==>( 1, 1 )] ) ).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 resolution(
% 0.80/1.26 clause( 1675, [ equidistant( Z, T, Z, T ) ] )
% 0.80/1.26 , clause( 21, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Z, T ) ]
% 0.80/1.26 )
% 0.80/1.26 , 0, clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.80/1.26 , 0, substitution( 0, [ :=( X, X ), :=( Y, extension( Y, X, Z, T ) ), :=( Z
% 0.80/1.26 , Z ), :=( T, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z
% 0.80/1.26 ), :=( T, T )] )).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 subsumption(
% 0.80/1.26 clause( 1021, [ equidistant( X, Y, X, Y ) ] )
% 0.80/1.26 , clause( 1675, [ equidistant( Z, T, Z, T ) ] )
% 0.80/1.26 , substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, Y )] ),
% 0.80/1.26 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 resolution(
% 0.80/1.26 clause( 1678, [ ~( equidistant( X, Y, Z, T ) ), equidistant( w, x, Z, T ),
% 0.80/1.26 ~( equidistant( u, v, X, Y ) ) ] )
% 0.80/1.26 , clause( 35, [ ~( equidistant( X, Y, Z, T ) ), equidistant( U, W, Z, T ),
% 0.80/1.26 ~( equidistant( V0, V1, X, Y ) ), ~( equidistant( V0, V1, U, W ) ) ] )
% 0.80/1.26 , 3, clause( 18, [ equidistant( u, v, w, x ) ] )
% 0.80/1.26 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.80/1.26 :=( U, w ), :=( W, x ), :=( V0, u ), :=( V1, v )] ), substitution( 1, [] )
% 0.80/1.26 ).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 subsumption(
% 0.80/1.26 clause( 1339, [ ~( equidistant( X, Y, Z, T ) ), equidistant( w, x, Z, T ),
% 0.80/1.26 ~( equidistant( u, v, X, Y ) ) ] )
% 0.80/1.26 , clause( 1678, [ ~( equidistant( X, Y, Z, T ) ), equidistant( w, x, Z, T )
% 0.80/1.26 , ~( equidistant( u, v, X, Y ) ) ] )
% 0.80/1.26 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.80/1.26 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 factor(
% 0.80/1.26 clause( 1681, [ ~( equidistant( u, v, u, v ) ), equidistant( w, x, u, v ) ]
% 0.80/1.26 )
% 0.80/1.26 , clause( 1339, [ ~( equidistant( X, Y, Z, T ) ), equidistant( w, x, Z, T )
% 0.80/1.26 , ~( equidistant( u, v, X, Y ) ) ] )
% 0.80/1.26 , 0, 2, substitution( 0, [ :=( X, u ), :=( Y, v ), :=( Z, u ), :=( T, v )] )
% 0.80/1.26 ).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 resolution(
% 0.80/1.26 clause( 1682, [ equidistant( w, x, u, v ) ] )
% 0.80/1.26 , clause( 1681, [ ~( equidistant( u, v, u, v ) ), equidistant( w, x, u, v )
% 0.80/1.26 ] )
% 0.80/1.26 , 0, clause( 1021, [ equidistant( X, Y, X, Y ) ] )
% 0.80/1.26 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, u ), :=( Y, v )] )
% 0.80/1.26 ).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 subsumption(
% 0.80/1.26 clause( 1349, [ equidistant( w, x, u, v ) ] )
% 0.80/1.26 , clause( 1682, [ equidistant( w, x, u, v ) ] )
% 0.80/1.26 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 resolution(
% 0.80/1.26 clause( 1683, [ ~( equidistant( w, x, y, z ) ) ] )
% 0.80/1.26 , clause( 37, [ ~( equidistant( X, Y, u, v ) ), ~( equidistant( X, Y, y, z
% 0.80/1.26 ) ) ] )
% 0.80/1.26 , 0, clause( 1349, [ equidistant( w, x, u, v ) ] )
% 0.80/1.26 , 0, substitution( 0, [ :=( X, w ), :=( Y, x )] ), substitution( 1, [] )
% 0.80/1.26 ).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 resolution(
% 0.80/1.26 clause( 1684, [] )
% 0.80/1.26 , clause( 1683, [ ~( equidistant( w, x, y, z ) ) ] )
% 0.80/1.26 , 0, clause( 19, [ equidistant( w, x, y, z ) ] )
% 0.80/1.26 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 subsumption(
% 0.80/1.26 clause( 1466, [] )
% 0.80/1.26 , clause( 1684, [] )
% 0.80/1.26 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 end.
% 0.80/1.26
% 0.80/1.26 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.80/1.26
% 0.80/1.26 Memory use:
% 0.80/1.26
% 0.80/1.26 space for terms: 36846
% 0.80/1.26 space for clauses: 70309
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 clauses generated: 11050
% 0.80/1.26 clauses kept: 1467
% 0.80/1.26 clauses selected: 128
% 0.80/1.26 clauses deleted: 18
% 0.80/1.26 clauses inuse deleted: 0
% 0.80/1.26
% 0.80/1.26 subsentry: 19879
% 0.80/1.26 literals s-matched: 15041
% 0.80/1.26 literals matched: 11741
% 0.80/1.26 full subsumption: 8463
% 0.80/1.26
% 0.80/1.26 checksum: 1214950853
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 Bliksem ended
%------------------------------------------------------------------------------