%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO021-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 0.78s 1.16s
% Output : Refutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO021-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : bliksem %s
% 0.11/0.33 % Computer : n005.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % DateTime : Sat Jun 18 16:48:08 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.78/1.16 *** allocated 10000 integers for termspace/termends
% 0.78/1.16 *** allocated 10000 integers for clauses
% 0.78/1.16 *** allocated 10000 integers for justifications
% 0.78/1.16 Bliksem 1.12
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 Automatic Strategy Selection
% 0.78/1.16
% 0.78/1.16 Clauses:
% 0.78/1.16 [
% 0.78/1.16 [ equidistant( X, Y, Y, X ) ],
% 0.78/1.16 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 0.78/1.16 equidistant( Z, T, U, W ) ],
% 0.78/1.16 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.78/1.16 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.78/1.16 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.78/1.16 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.78/1.16 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 0.78/1.16 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.78/1.16 , V0, W, V1 ) ],
% 0.78/1.16 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.78/1.16 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 0.78/1.16 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.78/1.16 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 0.78/1.16 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.78/1.16 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.78/1.16 'lower_dimension_point_3' ) ) ],
% 0.78/1.16 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.78/1.16 'lower_dimension_point_1' ) ) ],
% 0.78/1.16 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.78/1.16 'lower_dimension_point_2' ) ) ],
% 0.78/1.16 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 0.78/1.16 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 0.78/1.16 between( U, X, T ), =( Y, Z ) ],
% 0.78/1.16 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.78/1.16 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.78/1.16 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.78/1.16 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.78/1.16 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.78/1.16 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.78/1.16 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.78/1.16 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.78/1.16 , Y, Z, W, T, U ), U ) ],
% 0.78/1.16 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.78/1.16 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 0.78/1.16 continuous( X, Y, Z, W, T, U ) ) ],
% 0.78/1.16 [ equidistant( u, v, w, x ) ],
% 0.78/1.16 [ ~( equidistant( x, w, v, u ) ) ]
% 0.78/1.16 ] .
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 percentage equality = 0.120690, percentage horn = 0.750000
% 0.78/1.16 This is a problem with some equality
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 Options Used:
% 0.78/1.16
% 0.78/1.16 useres = 1
% 0.78/1.16 useparamod = 1
% 0.78/1.16 useeqrefl = 1
% 0.78/1.16 useeqfact = 1
% 0.78/1.16 usefactor = 1
% 0.78/1.16 usesimpsplitting = 0
% 0.78/1.16 usesimpdemod = 5
% 0.78/1.16 usesimpres = 3
% 0.78/1.16
% 0.78/1.16 resimpinuse = 1000
% 0.78/1.16 resimpclauses = 20000
% 0.78/1.16 substype = eqrewr
% 0.78/1.16 backwardsubs = 1
% 0.78/1.16 selectoldest = 5
% 0.78/1.16
% 0.78/1.16 litorderings [0] = split
% 0.78/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.78/1.16
% 0.78/1.16 termordering = kbo
% 0.78/1.16
% 0.78/1.16 litapriori = 0
% 0.78/1.16 termapriori = 1
% 0.78/1.16 litaposteriori = 0
% 0.78/1.16 termaposteriori = 0
% 0.78/1.16 demodaposteriori = 0
% 0.78/1.16 ordereqreflfact = 0
% 0.78/1.16
% 0.78/1.16 litselect = negord
% 0.78/1.16
% 0.78/1.16 maxweight = 15
% 0.78/1.16 maxdepth = 30000
% 0.78/1.16 maxlength = 115
% 0.78/1.16 maxnrvars = 195
% 0.78/1.16 excuselevel = 1
% 0.78/1.16 increasemaxweight = 1
% 0.78/1.16
% 0.78/1.16 maxselected = 10000000
% 0.78/1.16 maxnrclauses = 10000000
% 0.78/1.16
% 0.78/1.16 showgenerated = 0
% 0.78/1.16 showkept = 0
% 0.78/1.16 showselected = 0
% 0.78/1.16 showdeleted = 0
% 0.78/1.16 showresimp = 1
% 0.78/1.16 showstatus = 2000
% 0.78/1.16
% 0.78/1.16 prologoutput = 1
% 0.78/1.16 nrgoals = 5000000
% 0.78/1.16 totalproof = 1
% 0.78/1.16
% 0.78/1.16 Symbols occurring in the translation:
% 0.78/1.16
% 0.78/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.78/1.16 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 0.78/1.16 ! [4, 1] (w:0, o:27, a:1, s:1, b:0),
% 0.78/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.16 equidistant [41, 4] (w:1, o:58, a:1, s:1, b:0),
% 0.78/1.16 extension [46, 4] (w:1, o:59, a:1, s:1, b:0),
% 0.78/1.16 between [47, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.78/1.16 'inner_pasch' [53, 5] (w:1, o:60, a:1, s:1, b:0),
% 0.78/1.16 'lower_dimension_point_1' [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.78/1.16 'lower_dimension_point_2' [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.78/1.16 'lower_dimension_point_3' [56, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.78/1.16 euclid1 [57, 5] (w:1, o:61, a:1, s:1, b:0),
% 0.78/1.16 euclid2 [58, 5] (w:1, o:62, a:1, s:1, b:0),
% 0.78/1.16 continuous [59, 6] (w:1, o:63, a:1, s:1, b:0),
% 0.78/1.16 u [60, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.78/1.16 v [61, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.78/1.16 w [62, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.78/1.16 x [63, 0] (w:1, o:26, a:1, s:1, b:0).
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 Starting Search:
% 0.78/1.16
% 0.78/1.16 Resimplifying inuse:
% 0.78/1.16 Done
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 Bliksems!, er is een bewijs:
% 0.78/1.16 % SZS status Unsatisfiable
% 0.78/1.16 % SZS output start Refutation
% 0.78/1.16
% 0.78/1.16 clause( 0, [ equidistant( X, Y, Y, X ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) )
% 0.78/1.16 , equidistant( Z, T, U, W ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 18, [ equidistant( u, v, w, x ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 19, [ ~( equidistant( x, w, v, u ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 20, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Z, T ) ]
% 0.78/1.16 )
% 0.78/1.16 .
% 0.78/1.16 clause( 34, [ ~( equidistant( X, Y, Z, T ) ), equidistant( U, W, Z, T ),
% 0.78/1.16 ~( equidistant( V0, V1, X, Y ) ), ~( equidistant( V0, V1, U, W ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 36, [ ~( equidistant( X, Y, x, w ) ), ~( equidistant( X, Y, v, u )
% 0.78/1.16 ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 37, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ]
% 0.78/1.16 )
% 0.78/1.16 .
% 0.78/1.16 clause( 967, [ equidistant( X, Y, X, Y ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 1282, [ ~( equidistant( X, Y, Z, T ) ), equidistant( w, x, Z, T ),
% 0.78/1.16 ~( equidistant( u, v, X, Y ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 1288, [ equidistant( w, x, u, v ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 1399, [ ~( equidistant( u, v, x, w ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 1453, [ ~( equidistant( X, Y, x, w ) ), ~( equidistant( Z, T, X, Y
% 0.78/1.16 ) ), ~( equidistant( Z, T, u, v ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 1471, [ ~( equidistant( x, w, u, v ) ) ] )
% 0.78/1.16 .
% 0.78/1.16 clause( 1488, [] )
% 0.78/1.16 .
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 % SZS output end Refutation
% 0.78/1.16 found a proof!
% 0.78/1.16
% 0.78/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.78/1.16
% 0.78/1.16 initialclauses(
% 0.78/1.16 [ clause( 1490, [ equidistant( X, Y, Y, X ) ] )
% 0.78/1.16 , clause( 1491, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 0.78/1.16 W ) ), equidistant( Z, T, U, W ) ] )
% 0.78/1.16 , clause( 1492, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.78/1.16 , clause( 1493, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.78/1.16 , clause( 1494, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.81/1.16 , clause( 1495, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T,
% 0.81/1.16 W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) )
% 0.81/1.16 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 0.81/1.16 equidistant( U, V0, W, V1 ) ] )
% 0.81/1.16 , clause( 1496, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.81/1.16 , clause( 1497, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.81/1.16 Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 0.81/1.16 , clause( 1498, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.81/1.16 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 0.81/1.16 , clause( 1499, [ ~( between( 'lower_dimension_point_1',
% 0.81/1.16 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.81/1.16 , clause( 1500, [ ~( between( 'lower_dimension_point_2',
% 0.81/1.16 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.81/1.16 , clause( 1501, [ ~( between( 'lower_dimension_point_3',
% 0.81/1.16 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.81/1.16 , clause( 1502, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T,
% 0.81/1.16 Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U
% 0.81/1.16 , X ), between( U, X, T ), =( Y, Z ) ] )
% 0.81/1.16 , clause( 1503, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.81/1.16 ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 0.81/1.16 , clause( 1504, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.81/1.16 ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 0.81/1.16 , clause( 1505, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.81/1.16 ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ] )
% 0.81/1.16 , clause( 1506, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 0.81/1.16 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 0.81/1.16 continuous( X, Y, Z, W, T, U ), U ) ] )
% 0.81/1.16 , clause( 1507, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 0.81/1.16 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X,
% 0.81/1.16 W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 0.81/1.16 , clause( 1508, [ equidistant( u, v, w, x ) ] )
% 0.81/1.16 , clause( 1509, [ ~( equidistant( x, w, v, u ) ) ] )
% 0.81/1.16 ] ).
% 0.81/1.16
% 0.81/1.16
% 0.81/1.16
% 0.81/1.16 subsumption(
% 0.81/1.17 clause( 0, [ equidistant( X, Y, Y, X ) ] )
% 0.81/1.17 , clause( 1490, [ equidistant( X, Y, Y, X ) ] )
% 0.81/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.17 )] ) ).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 subsumption(
% 0.81/1.17 clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) )
% 0.81/1.17 , equidistant( Z, T, U, W ) ] )
% 0.81/1.17 , clause( 1491, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 0.81/1.17 W ) ), equidistant( Z, T, U, W ) ] )
% 0.81/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.81/1.17 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.81/1.17 , 2 )] ) ).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 subsumption(
% 0.81/1.17 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.81/1.17 , clause( 1494, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.81/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.81/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 subsumption(
% 0.81/1.17 clause( 18, [ equidistant( u, v, w, x ) ] )
% 0.81/1.17 , clause( 1508, [ equidistant( u, v, w, x ) ] )
% 0.81/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 subsumption(
% 0.81/1.17 clause( 19, [ ~( equidistant( x, w, v, u ) ) ] )
% 0.81/1.17 , clause( 1509, [ ~( equidistant( x, w, v, u ) ) ] )
% 0.81/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 factor(
% 0.81/1.17 clause( 1629, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Z, T ) ]
% 0.81/1.17 )
% 0.81/1.17 , clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W )
% 0.81/1.17 ), equidistant( Z, T, U, W ) ] )
% 0.81/1.17 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.81/1.17 :=( U, Z ), :=( W, T )] )).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 subsumption(
% 0.81/1.17 clause( 20, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Z, T ) ]
% 0.81/1.17 )
% 0.81/1.17 , clause( 1629, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Z, T )
% 0.81/1.17 ] )
% 0.81/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.81/1.17 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 resolution(
% 0.81/1.17 clause( 1630, [ ~( equidistant( X, Y, U, W ) ), equidistant( Z, T, U, W ),
% 0.81/1.17 ~( equidistant( V0, V1, X, Y ) ), ~( equidistant( V0, V1, Z, T ) ) ] )
% 0.81/1.17 , clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W )
% 0.81/1.17 ), equidistant( Z, T, U, W ) ] )
% 0.81/1.17 , 0, clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 0.81/1.17 W ) ), equidistant( Z, T, U, W ) ] )
% 0.81/1.17 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.81/1.17 :=( U, U ), :=( W, W )] ), substitution( 1, [ :=( X, V0 ), :=( Y, V1 ),
% 0.81/1.17 :=( Z, X ), :=( T, Y ), :=( U, Z ), :=( W, T )] )).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 subsumption(
% 0.81/1.17 clause( 34, [ ~( equidistant( X, Y, Z, T ) ), equidistant( U, W, Z, T ),
% 0.81/1.17 ~( equidistant( V0, V1, X, Y ) ), ~( equidistant( V0, V1, U, W ) ) ] )
% 0.81/1.17 , clause( 1630, [ ~( equidistant( X, Y, U, W ) ), equidistant( Z, T, U, W )
% 0.81/1.17 , ~( equidistant( V0, V1, X, Y ) ), ~( equidistant( V0, V1, Z, T ) ) ] )
% 0.81/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, U ), :=( T, W ), :=( U
% 0.81/1.17 , Z ), :=( W, T ), :=( V0, V0 ), :=( V1, V1 )] ), permutation( 0, [ ==>(
% 0.81/1.17 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 resolution(
% 0.81/1.17 clause( 1637, [ ~( equidistant( X, Y, x, w ) ), ~( equidistant( X, Y, v, u
% 0.81/1.17 ) ) ] )
% 0.81/1.17 , clause( 19, [ ~( equidistant( x, w, v, u ) ) ] )
% 0.81/1.17 , 0, clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 0.81/1.17 W ) ), equidistant( Z, T, U, W ) ] )
% 0.81/1.17 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 0.81/1.17 Z, x ), :=( T, w ), :=( U, v ), :=( W, u )] )).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 subsumption(
% 0.81/1.17 clause( 36, [ ~( equidistant( X, Y, x, w ) ), ~( equidistant( X, Y, v, u )
% 0.81/1.17 ) ] )
% 0.81/1.17 , clause( 1637, [ ~( equidistant( X, Y, x, w ) ), ~( equidistant( X, Y, v,
% 0.81/1.17 u ) ) ] )
% 0.81/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.17 ), ==>( 1, 1 )] ) ).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 resolution(
% 0.81/1.17 clause( 1638, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ]
% 0.81/1.17 )
% 0.81/1.17 , clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W )
% 0.81/1.17 ), equidistant( Z, T, U, W ) ] )
% 0.81/1.17 , 0, clause( 0, [ equidistant( X, Y, Y, X ) ] )
% 0.81/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, X ),
% 0.81/1.17 :=( U, Z ), :=( W, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.81/1.17 ).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 subsumption(
% 0.81/1.17 clause( 37, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ]
% 0.81/1.17 )
% 0.81/1.17 , clause( 1638, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T )
% 0.81/1.17 ] )
% 0.81/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.81/1.17 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 resolution(
% 0.81/1.17 clause( 1640, [ equidistant( Z, T, Z, T ) ] )
% 0.81/1.17 , clause( 20, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Z, T ) ]
% 0.81/1.17 )
% 0.81/1.17 , 0, clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.81/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, extension( Y, X, Z, T ) ), :=( Z
% 0.81/1.17 , Z ), :=( T, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z
% 0.81/1.17 ), :=( T, T )] )).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 subsumption(
% 0.81/1.17 clause( 967, [ equidistant( X, Y, X, Y ) ] )
% 0.81/1.17 , clause( 1640, [ equidistant( Z, T, Z, T ) ] )
% 0.81/1.17 , substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X ), :=( T, Y )] ),
% 0.81/1.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 resolution(
% 0.81/1.17 clause( 1643, [ ~( equidistant( X, Y, Z, T ) ), equidistant( w, x, Z, T ),
% 0.81/1.17 ~( equidistant( u, v, X, Y ) ) ] )
% 0.81/1.17 , clause( 34, [ ~( equidistant( X, Y, Z, T ) ), equidistant( U, W, Z, T ),
% 0.81/1.17 ~( equidistant( V0, V1, X, Y ) ), ~( equidistant( V0, V1, U, W ) ) ] )
% 0.81/1.17 , 3, clause( 18, [ equidistant( u, v, w, x ) ] )
% 0.81/1.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.81/1.17 :=( U, w ), :=( W, x ), :=( V0, u ), :=( V1, v )] ), substitution( 1, [] )
% 0.81/1.17 ).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 subsumption(
% 0.81/1.17 clause( 1282, [ ~( equidistant( X, Y, Z, T ) ), equidistant( w, x, Z, T ),
% 0.81/1.17 ~( equidistant( u, v, X, Y ) ) ] )
% 0.81/1.17 , clause( 1643, [ ~( equidistant( X, Y, Z, T ) ), equidistant( w, x, Z, T )
% 0.81/1.17 , ~( equidistant( u, v, X, Y ) ) ] )
% 0.81/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.81/1.17 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 factor(
% 0.81/1.17 clause( 1646, [ ~( equidistant( u, v, u, v ) ), equidistant( w, x, u, v ) ]
% 0.81/1.17 )
% 0.81/1.17 , clause( 1282, [ ~( equidistant( X, Y, Z, T ) ), equidistant( w, x, Z, T )
% 0.81/1.17 , ~( equidistant( u, v, X, Y ) ) ] )
% 0.81/1.17 , 0, 2, substitution( 0, [ :=( X, u ), :=( Y, v ), :=( Z, u ), :=( T, v )] )
% 0.81/1.17 ).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 resolution(
% 0.81/1.17 clause( 1647, [ equidistant( w, x, u, v ) ] )
% 0.81/1.17 , clause( 1646, [ ~( equidistant( u, v, u, v ) ), equidistant( w, x, u, v )
% 0.81/1.17 ] )
% 0.81/1.17 , 0, clause( 967, [ equidistant( X, Y, X, Y ) ] )
% 0.81/1.17 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, u ), :=( Y, v )] )
% 0.81/1.17 ).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 subsumption(
% 0.81/1.17 clause( 1288, [ equidistant( w, x, u, v ) ] )
% 0.81/1.17 , clause( 1647, [ equidistant( w, x, u, v ) ] )
% 0.81/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 resolution(
% 0.81/1.17 clause( 1649, [ ~( equidistant( u, v, x, w ) ) ] )
% 0.81/1.17 , clause( 36, [ ~( equidistant( X, Y, x, w ) ), ~( equidistant( X, Y, v, u
% 0.81/1.17 ) ) ] )
% 0.81/1.17 , 1, clause( 0, [ equidistant( X, Y, Y, X ) ] )
% 0.81/1.17 , 0, substitution( 0, [ :=( X, u ), :=( Y, v )] ), substitution( 1, [ :=( X
% 0.81/1.17 , u ), :=( Y, v )] )).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 subsumption(
% 0.81/1.17 clause( 1399, [ ~( equidistant( u, v, x, w ) ) ] )
% 0.81/1.17 , clause( 1649, [ ~( equidistant( u, v, x, w ) ) ] )
% 0.81/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 resolution(
% 0.81/1.17 clause( 1650, [ ~( equidistant( X, Y, x, w ) ), ~( equidistant( Z, T, X, Y
% 0.81/1.17 ) ), ~( equidistant( Z, T, u, v ) ) ] )
% 0.81/1.17 , clause( 1399, [ ~( equidistant( u, v, x, w ) ) ] )
% 0.81/1.17 , 0, clause( 34, [ ~( equidistant( X, Y, Z, T ) ), equidistant( U, W, Z, T
% 0.81/1.17 ), ~( equidistant( V0, V1, X, Y ) ), ~( equidistant( V0, V1, U, W ) ) ]
% 0.81/1.17 )
% 0.81/1.17 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 0.81/1.17 Z, x ), :=( T, w ), :=( U, u ), :=( W, v ), :=( V0, Z ), :=( V1, T )] )
% 0.81/1.17 ).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 subsumption(
% 0.81/1.17 clause( 1453, [ ~( equidistant( X, Y, x, w ) ), ~( equidistant( Z, T, X, Y
% 0.81/1.17 ) ), ~( equidistant( Z, T, u, v ) ) ] )
% 0.81/1.17 , clause( 1650, [ ~( equidistant( X, Y, x, w ) ), ~( equidistant( Z, T, X,
% 0.81/1.17 Y ) ), ~( equidistant( Z, T, u, v ) ) ] )
% 0.81/1.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.81/1.17 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 factor(
% 0.81/1.17 clause( 1653, [ ~( equidistant( x, w, x, w ) ), ~( equidistant( x, w, u, v
% 0.81/1.17 ) ) ] )
% 0.81/1.17 , clause( 1453, [ ~( equidistant( X, Y, x, w ) ), ~( equidistant( Z, T, X,
% 0.81/1.17 Y ) ), ~( equidistant( Z, T, u, v ) ) ] )
% 0.81/1.17 , 0, 1, substitution( 0, [ :=( X, x ), :=( Y, w ), :=( Z, x ), :=( T, w )] )
% 0.81/1.17 ).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 resolution(
% 0.81/1.17 clause( 1655, [ ~( equidistant( x, w, u, v ) ) ] )
% 0.81/1.17 , clause( 1653, [ ~( equidistant( x, w, x, w ) ), ~( equidistant( x, w, u,
% 0.81/1.17 v ) ) ] )
% 0.81/1.17 , 0, clause( 967, [ equidistant( X, Y, X, Y ) ] )
% 0.81/1.17 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, w )] )
% 0.81/1.17 ).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 subsumption(
% 0.81/1.17 clause( 1471, [ ~( equidistant( x, w, u, v ) ) ] )
% 0.81/1.17 , clause( 1655, [ ~( equidistant( x, w, u, v ) ) ] )
% 0.81/1.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 resolution(
% 0.81/1.17 clause( 1656, [ ~( equidistant( w, x, u, v ) ) ] )
% 0.81/1.17 , clause( 1471, [ ~( equidistant( x, w, u, v ) ) ] )
% 0.81/1.17 , 0, clause( 37, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T
% 0.81/1.17 ) ] )
% 0.81/1.17 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, w ), :=( Y, x ), :=(
% 0.81/1.17 Z, u ), :=( T, v )] )).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 resolution(
% 0.81/1.17 clause( 1657, [] )
% 0.81/1.17 , clause( 1656, [ ~( equidistant( w, x, u, v ) ) ] )
% 0.81/1.17 , 0, clause( 1288, [ equidistant( w, x, u, v ) ] )
% 0.81/1.17 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 subsumption(
% 0.81/1.17 clause( 1488, [] )
% 0.81/1.17 , clause( 1657, [] )
% 0.81/1.17 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 end.
% 0.81/1.17
% 0.81/1.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.81/1.17
% 0.81/1.17 Memory use:
% 0.81/1.17
% 0.81/1.17 space for terms: 36313
% 0.81/1.17 space for clauses: 70954
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 clauses generated: 11268
% 0.81/1.17 clauses kept: 1489
% 0.81/1.17 clauses selected: 133
% 0.81/1.17 clauses deleted: 19
% 0.81/1.17 clauses inuse deleted: 1
% 0.81/1.17
% 0.81/1.17 subsentry: 18202
% 0.81/1.17 literals s-matched: 13765
% 0.81/1.17 literals matched: 10810
% 0.81/1.17 full subsumption: 7720
% 0.81/1.17
% 0.81/1.17 checksum: 1376259027
% 0.81/1.17
% 0.81/1.17
% 0.81/1.17 Bliksem ended
%------------------------------------------------------------------------------