TSTP Solution File: GEO058-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO058-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 02:51:16 EDT 2022
% Result : Unsatisfiable 0.71s 1.17s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO058-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jun 18 15:06:44 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.71/1.17 *** allocated 10000 integers for termspace/termends
% 0.71/1.17 *** allocated 10000 integers for clauses
% 0.71/1.17 *** allocated 10000 integers for justifications
% 0.71/1.17 Bliksem 1.12
% 0.71/1.17
% 0.71/1.17
% 0.71/1.17 Automatic Strategy Selection
% 0.71/1.17
% 0.71/1.17 Clauses:
% 0.71/1.17 [
% 0.71/1.17 [ equidistant( X, Y, Y, X ) ],
% 0.71/1.17 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 0.71/1.17 equidistant( Z, T, U, W ) ],
% 0.71/1.17 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.71/1.17 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.71/1.17 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.71/1.17 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.71/1.17 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 0.71/1.17 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.71/1.17 , V0, W, V1 ) ],
% 0.71/1.17 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.71/1.17 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 0.71/1.17 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.71/1.17 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 0.71/1.17 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.71/1.17 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.71/1.17 'lower_dimension_point_3' ) ) ],
% 0.71/1.17 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.71/1.17 'lower_dimension_point_1' ) ) ],
% 0.71/1.17 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.71/1.17 'lower_dimension_point_2' ) ) ],
% 0.71/1.17 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 0.71/1.17 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 0.71/1.17 between( U, X, T ), =( Y, Z ) ],
% 0.71/1.17 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.71/1.17 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.71/1.17 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.71/1.17 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.71/1.17 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.71/1.17 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.71/1.17 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.71/1.17 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.71/1.17 , Y, Z, W, T, U ), U ) ],
% 0.71/1.17 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.71/1.17 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 0.71/1.17 continuous( X, Y, Z, W, T, U ) ) ],
% 0.71/1.17 [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ],
% 0.71/1.17 [ =( v, reflection( u, v ) ) ],
% 0.71/1.17 [ ~( =( u, v ) ) ]
% 0.71/1.17 ] .
% 0.71/1.17
% 0.71/1.17
% 0.71/1.17 percentage equality = 0.169492, percentage horn = 0.761905
% 0.71/1.17 This is a problem with some equality
% 0.71/1.17
% 0.71/1.17
% 0.71/1.17
% 0.71/1.17 Options Used:
% 0.71/1.17
% 0.71/1.17 useres = 1
% 0.71/1.17 useparamod = 1
% 0.71/1.17 useeqrefl = 1
% 0.71/1.17 useeqfact = 1
% 0.71/1.17 usefactor = 1
% 0.71/1.17 usesimpsplitting = 0
% 0.71/1.17 usesimpdemod = 5
% 0.71/1.17 usesimpres = 3
% 0.71/1.17
% 0.71/1.17 resimpinuse = 1000
% 0.71/1.17 resimpclauses = 20000
% 0.71/1.17 substype = eqrewr
% 0.71/1.17 backwardsubs = 1
% 0.71/1.17 selectoldest = 5
% 0.71/1.17
% 0.71/1.17 litorderings [0] = split
% 0.71/1.17 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.17
% 0.71/1.17 termordering = kbo
% 0.71/1.17
% 0.71/1.17 litapriori = 0
% 0.71/1.17 termapriori = 1
% 0.71/1.17 litaposteriori = 0
% 0.71/1.17 termaposteriori = 0
% 0.71/1.17 demodaposteriori = 0
% 0.71/1.17 ordereqreflfact = 0
% 0.71/1.17
% 0.71/1.17 litselect = negord
% 0.71/1.17
% 0.71/1.17 maxweight = 15
% 0.71/1.17 maxdepth = 30000
% 0.71/1.17 maxlength = 115
% 0.71/1.17 maxnrvars = 195
% 0.71/1.17 excuselevel = 1
% 0.71/1.17 increasemaxweight = 1
% 0.71/1.17
% 0.71/1.17 maxselected = 10000000
% 0.71/1.17 maxnrclauses = 10000000
% 0.71/1.17
% 0.71/1.17 showgenerated = 0
% 0.71/1.17 showkept = 0
% 0.71/1.17 showselected = 0
% 0.71/1.17 showdeleted = 0
% 0.71/1.17 showresimp = 1
% 0.71/1.17 showstatus = 2000
% 0.71/1.17
% 0.71/1.17 prologoutput = 1
% 0.71/1.17 nrgoals = 5000000
% 0.71/1.17 totalproof = 1
% 0.71/1.17
% 0.71/1.17 Symbols occurring in the translation:
% 0.71/1.17
% 0.71/1.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.17 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 0.71/1.17 ! [4, 1] (w:0, o:25, a:1, s:1, b:0),
% 0.71/1.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.17 equidistant [41, 4] (w:1, o:57, a:1, s:1, b:0),
% 0.71/1.17 extension [46, 4] (w:1, o:58, a:1, s:1, b:0),
% 0.71/1.17 between [47, 3] (w:1, o:56, a:1, s:1, b:0),
% 0.71/1.17 'inner_pasch' [53, 5] (w:1, o:59, a:1, s:1, b:0),
% 0.71/1.17 'lower_dimension_point_1' [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.71/1.17 'lower_dimension_point_2' [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.71/1.17 'lower_dimension_point_3' [56, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.71/1.17 euclid1 [57, 5] (w:1, o:60, a:1, s:1, b:0),
% 0.71/1.17 euclid2 [58, 5] (w:1, o:61, a:1, s:1, b:0),
% 0.71/1.17 continuous [59, 6] (w:1, o:62, a:1, s:1, b:0),
% 0.71/1.17 reflection [60, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.71/1.17 v [61, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.71/1.17 u [62, 0] (w:1, o:23, a:1, s:1, b:0).
% 0.71/1.17
% 0.71/1.17
% 0.71/1.17 Starting Search:
% 0.71/1.17
% 0.71/1.17 Resimplifying inuse:
% 0.71/1.17 Done
% 0.71/1.17
% 0.71/1.17
% 0.71/1.17 Bliksems!, er is een bewijs:
% 0.71/1.17 % SZS status Unsatisfiable
% 0.71/1.17 % SZS output start Refutation
% 0.71/1.17
% 0.71/1.17 clause( 0, [ equidistant( X, Y, Y, X ) ] )
% 0.71/1.17 .
% 0.71/1.17 clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) )
% 0.71/1.17 , equidistant( Z, T, U, W ) ] )
% 0.71/1.17 .
% 0.71/1.17 clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.71/1.17 .
% 0.71/1.17 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.71/1.17 .
% 0.71/1.17 clause( 18, [ =( extension( X, Y, X, Y ), reflection( X, Y ) ) ] )
% 0.71/1.17 .
% 0.71/1.17 clause( 19, [ =( reflection( u, v ), v ) ] )
% 0.71/1.17 .
% 0.71/1.17 clause( 20, [ ~( =( v, u ) ) ] )
% 0.71/1.17 .
% 0.71/1.17 clause( 35, [ ~( equidistant( X, Y, Z, T ) ), equidistant( U, W, Z, T ),
% 0.71/1.17 ~( equidistant( V0, V1, X, Y ) ), ~( equidistant( V0, V1, U, W ) ) ] )
% 0.71/1.17 .
% 0.71/1.17 clause( 102, [ ~( =( X, u ) ), ~( equidistant( X, v, Y, Y ) ) ] )
% 0.71/1.17 .
% 0.71/1.17 clause( 103, [ ~( equidistant( u, v, X, X ) ) ] )
% 0.71/1.17 .
% 0.71/1.17 clause( 918, [ equidistant( Y, reflection( X, Y ), X, Y ) ] )
% 0.71/1.17 .
% 0.71/1.17 clause( 972, [ equidistant( v, v, u, v ) ] )
% 0.71/1.17 .
% 0.71/1.17 clause( 1288, [ equidistant( X, Y, u, v ), ~( equidistant( Z, T, v, v ) ),
% 0.71/1.17 ~( equidistant( Z, T, X, Y ) ) ] )
% 0.71/1.17 .
% 0.71/1.17 clause( 1301, [ ~( equidistant( X, Y, Z, Z ) ), ~( equidistant( T, U, X, Y
% 0.71/1.17 ) ), ~( equidistant( T, U, u, v ) ) ] )
% 0.71/1.17 .
% 0.71/1.17 clause( 1307, [ ~( equidistant( X, X, u, v ) ) ] )
% 0.71/1.17 .
% 0.71/1.17 clause( 1315, [ ~( equidistant( X, Y, v, v ) ) ] )
% 0.71/1.17 .
% 0.71/1.17 clause( 1316, [] )
% 0.71/1.17 .
% 0.71/1.17
% 0.71/1.17
% 0.71/1.17 % SZS output end Refutation
% 0.71/1.17 found a proof!
% 0.71/1.17
% 0.71/1.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.17
% 0.71/1.17 initialclauses(
% 0.71/1.17 [ clause( 1318, [ equidistant( X, Y, Y, X ) ] )
% 0.71/1.17 , clause( 1319, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 0.71/1.17 W ) ), equidistant( Z, T, U, W ) ] )
% 0.71/1.17 , clause( 1320, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.71/1.17 , clause( 1321, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.71/1.17 , clause( 1322, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.71/1.17 , clause( 1323, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T,
% 0.71/1.17 W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) )
% 0.71/1.17 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 0.71/1.17 equidistant( U, V0, W, V1 ) ] )
% 0.71/1.17 , clause( 1324, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.71/1.17 , clause( 1325, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.71/1.17 Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 0.71/1.17 , clause( 1326, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.71/1.17 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 0.71/1.17 , clause( 1327, [ ~( between( 'lower_dimension_point_1',
% 0.71/1.17 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.71/1.17 , clause( 1328, [ ~( between( 'lower_dimension_point_2',
% 0.71/1.17 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.71/1.17 , clause( 1329, [ ~( between( 'lower_dimension_point_3',
% 0.71/1.17 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.71/1.17 , clause( 1330, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T,
% 0.71/1.17 Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U
% 0.71/1.17 , X ), between( U, X, T ), =( Y, Z ) ] )
% 0.71/1.17 , clause( 1331, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.71/1.17 ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 0.71/1.17 , clause( 1332, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.71/1.17 ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 0.71/1.17 , clause( 1333, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.71/1.17 ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ] )
% 0.71/1.17 , clause( 1334, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 0.71/1.17 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 0.71/1.17 continuous( X, Y, Z, W, T, U ), U ) ] )
% 0.71/1.17 , clause( 1335, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 0.71/1.17 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X,
% 0.71/1.17 W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 0.71/1.17 , clause( 1336, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 0.71/1.17 , clause( 1337, [ =( v, reflection( u, v ) ) ] )
% 92.23/92.61 , clause( 1338, [ ~( =( u, v ) ) ] )
% 92.23/92.61 ] ).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 subsumption(
% 92.23/92.61 clause( 0, [ equidistant( X, Y, Y, X ) ] )
% 92.23/92.61 , clause( 1318, [ equidistant( X, Y, Y, X ) ] )
% 92.23/92.61 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 92.23/92.61 )] ) ).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 subsumption(
% 92.23/92.61 clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) )
% 92.23/92.61 , equidistant( Z, T, U, W ) ] )
% 92.23/92.61 , clause( 1319, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 92.23/92.61 W ) ), equidistant( Z, T, U, W ) ] )
% 92.23/92.61 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 92.23/92.61 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 92.23/92.61 , 2 )] ) ).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 subsumption(
% 92.23/92.61 clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 92.23/92.61 , clause( 1320, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 92.23/92.61 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 92.23/92.61 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 subsumption(
% 92.23/92.61 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 92.23/92.61 , clause( 1322, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 92.23/92.61 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 92.23/92.61 permutation( 0, [ ==>( 0, 0 )] ) ).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 eqswap(
% 92.23/92.61 clause( 1402, [ =( extension( X, Y, X, Y ), reflection( X, Y ) ) ] )
% 92.23/92.61 , clause( 1336, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 92.23/92.61 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 subsumption(
% 92.23/92.61 clause( 18, [ =( extension( X, Y, X, Y ), reflection( X, Y ) ) ] )
% 92.23/92.61 , clause( 1402, [ =( extension( X, Y, X, Y ), reflection( X, Y ) ) ] )
% 92.23/92.61 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 92.23/92.61 )] ) ).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 eqswap(
% 92.23/92.61 clause( 1462, [ =( reflection( u, v ), v ) ] )
% 92.23/92.61 , clause( 1337, [ =( v, reflection( u, v ) ) ] )
% 92.23/92.61 , 0, substitution( 0, [] )).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 subsumption(
% 92.23/92.61 clause( 19, [ =( reflection( u, v ), v ) ] )
% 92.23/92.61 , clause( 1462, [ =( reflection( u, v ), v ) ] )
% 92.23/92.61 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 eqswap(
% 92.23/92.61 clause( 1523, [ ~( =( v, u ) ) ] )
% 92.23/92.61 , clause( 1338, [ ~( =( u, v ) ) ] )
% 92.23/92.61 , 0, substitution( 0, [] )).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 subsumption(
% 92.23/92.61 clause( 20, [ ~( =( v, u ) ) ] )
% 92.23/92.61 , clause( 1523, [ ~( =( v, u ) ) ] )
% 92.23/92.61 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 resolution(
% 92.23/92.61 clause( 1524, [ ~( equidistant( X, Y, U, W ) ), equidistant( Z, T, U, W ),
% 92.23/92.61 ~( equidistant( V0, V1, X, Y ) ), ~( equidistant( V0, V1, Z, T ) ) ] )
% 92.23/92.61 , clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W )
% 92.23/92.61 ), equidistant( Z, T, U, W ) ] )
% 92.23/92.61 , 0, clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 92.23/92.61 W ) ), equidistant( Z, T, U, W ) ] )
% 92.23/92.61 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 92.23/92.61 :=( U, U ), :=( W, W )] ), substitution( 1, [ :=( X, V0 ), :=( Y, V1 ),
% 92.23/92.61 :=( Z, X ), :=( T, Y ), :=( U, Z ), :=( W, T )] )).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 subsumption(
% 92.23/92.61 clause( 35, [ ~( equidistant( X, Y, Z, T ) ), equidistant( U, W, Z, T ),
% 92.23/92.61 ~( equidistant( V0, V1, X, Y ) ), ~( equidistant( V0, V1, U, W ) ) ] )
% 92.23/92.61 , clause( 1524, [ ~( equidistant( X, Y, U, W ) ), equidistant( Z, T, U, W )
% 92.23/92.61 , ~( equidistant( V0, V1, X, Y ) ), ~( equidistant( V0, V1, Z, T ) ) ] )
% 92.23/92.61 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, U ), :=( T, W ), :=( U
% 92.23/92.61 , Z ), :=( W, T ), :=( V0, V0 ), :=( V1, V1 )] ), permutation( 0, [ ==>(
% 92.23/92.61 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 eqswap(
% 92.23/92.61 clause( 1531, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 92.23/92.61 , clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 92.23/92.61 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 eqswap(
% 92.23/92.61 clause( 1532, [ ~( =( u, v ) ) ] )
% 92.23/92.61 , clause( 20, [ ~( =( v, u ) ) ] )
% 92.23/92.61 , 0, substitution( 0, [] )).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 paramod(
% 92.23/92.61 clause( 1534, [ ~( =( u, X ) ), ~( equidistant( X, v, Y, Y ) ) ] )
% 92.23/92.61 , clause( 1531, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 92.23/92.61 , 0, clause( 1532, [ ~( =( u, v ) ) ] )
% 92.23/92.61 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, v ), :=( Z, Y )] ),
% 92.23/92.61 substitution( 1, [] )).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 eqswap(
% 92.23/92.61 clause( 1576, [ ~( =( X, u ) ), ~( equidistant( X, v, Y, Y ) ) ] )
% 92.23/92.61 , clause( 1534, [ ~( =( u, X ) ), ~( equidistant( X, v, Y, Y ) ) ] )
% 92.23/92.61 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 subsumption(
% 92.23/92.61 clause( 102, [ ~( =( X, u ) ), ~( equidistant( X, v, Y, Y ) ) ] )
% 92.23/92.61 , clause( 1576, [ ~( =( X, u ) ), ~( equidistant( X, v, Y, Y ) ) ] )
% 92.23/92.61 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 92.23/92.61 ), ==>( 1, 1 )] ) ).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 eqswap(
% 92.23/92.61 clause( 13393, [ ~( =( u, X ) ), ~( equidistant( X, v, Y, Y ) ) ] )
% 92.23/92.61 , clause( 102, [ ~( =( X, u ) ), ~( equidistant( X, v, Y, Y ) ) ] )
% 92.23/92.61 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 eqrefl(
% 92.23/92.61 clause( 13394, [ ~( equidistant( u, v, X, X ) ) ] )
% 92.23/92.61 , clause( 13393, [ ~( =( u, X ) ), ~( equidistant( X, v, Y, Y ) ) ] )
% 92.23/92.61 , 0, substitution( 0, [ :=( X, u ), :=( Y, X )] )).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 subsumption(
% 92.23/92.61 clause( 103, [ ~( equidistant( u, v, X, X ) ) ] )
% 92.23/92.61 , clause( 13394, [ ~( equidistant( u, v, X, X ) ) ] )
% 92.23/92.61 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 paramod(
% 92.23/92.61 clause( 13396, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 92.23/92.61 , clause( 18, [ =( extension( X, Y, X, Y ), reflection( X, Y ) ) ] )
% 92.23/92.61 , 0, clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 92.23/92.61 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 92.23/92.61 :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, X )] )).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 subsumption(
% 92.23/92.61 clause( 918, [ equidistant( Y, reflection( X, Y ), X, Y ) ] )
% 92.23/92.61 , clause( 13396, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 92.23/92.61 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 92.23/92.61 )] ) ).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 paramod(
% 92.23/92.61 clause( 13398, [ equidistant( v, v, u, v ) ] )
% 92.23/92.61 , clause( 19, [ =( reflection( u, v ), v ) ] )
% 92.23/92.61 , 0, clause( 918, [ equidistant( Y, reflection( X, Y ), X, Y ) ] )
% 92.23/92.61 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, u ), :=( Y, v )] )
% 92.23/92.61 ).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 subsumption(
% 92.23/92.61 clause( 972, [ equidistant( v, v, u, v ) ] )
% 92.23/92.61 , clause( 13398, [ equidistant( v, v, u, v ) ] )
% 92.23/92.61 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 resolution(
% 92.23/92.61 clause( 13399, [ equidistant( X, Y, u, v ), ~( equidistant( Z, T, v, v ) )
% 92.23/92.61 , ~( equidistant( Z, T, X, Y ) ) ] )
% 92.23/92.61 , clause( 35, [ ~( equidistant( X, Y, Z, T ) ), equidistant( U, W, Z, T ),
% 92.23/92.61 ~( equidistant( V0, V1, X, Y ) ), ~( equidistant( V0, V1, U, W ) ) ] )
% 92.23/92.61 , 0, clause( 972, [ equidistant( v, v, u, v ) ] )
% 92.23/92.61 , 0, substitution( 0, [ :=( X, v ), :=( Y, v ), :=( Z, u ), :=( T, v ),
% 92.23/92.61 :=( U, X ), :=( W, Y ), :=( V0, Z ), :=( V1, T )] ), substitution( 1, [] )
% 92.23/92.61 ).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 subsumption(
% 92.23/92.61 clause( 1288, [ equidistant( X, Y, u, v ), ~( equidistant( Z, T, v, v ) ),
% 92.23/92.61 ~( equidistant( Z, T, X, Y ) ) ] )
% 92.23/92.61 , clause( 13399, [ equidistant( X, Y, u, v ), ~( equidistant( Z, T, v, v )
% 92.23/92.61 ), ~( equidistant( Z, T, X, Y ) ) ] )
% 92.23/92.61 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 92.23/92.61 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 resolution(
% 92.23/92.61 clause( 13404, [ ~( equidistant( Y, Z, X, X ) ), ~( equidistant( T, U, Y, Z
% 92.23/92.61 ) ), ~( equidistant( T, U, u, v ) ) ] )
% 92.23/92.61 , clause( 103, [ ~( equidistant( u, v, X, X ) ) ] )
% 92.23/92.61 , 0, clause( 35, [ ~( equidistant( X, Y, Z, T ) ), equidistant( U, W, Z, T
% 92.23/92.61 ), ~( equidistant( V0, V1, X, Y ) ), ~( equidistant( V0, V1, U, W ) ) ]
% 92.23/92.61 )
% 92.23/92.61 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 92.23/92.61 , Z ), :=( Z, X ), :=( T, X ), :=( U, u ), :=( W, v ), :=( V0, T ), :=(
% 92.23/92.61 V1, U )] )).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 subsumption(
% 92.23/92.61 clause( 1301, [ ~( equidistant( X, Y, Z, Z ) ), ~( equidistant( T, U, X, Y
% 92.23/92.61 ) ), ~( equidistant( T, U, u, v ) ) ] )
% 92.23/92.61 , clause( 13404, [ ~( equidistant( Y, Z, X, X ) ), ~( equidistant( T, U, Y
% 92.23/92.61 , Z ) ), ~( equidistant( T, U, u, v ) ) ] )
% 92.23/92.61 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T ), :=( U
% 92.23/92.61 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 92.23/92.61 ).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 factor(
% 92.23/92.61 clause( 13407, [ ~( equidistant( X, X, X, X ) ), ~( equidistant( X, X, u, v
% 92.23/92.61 ) ) ] )
% 92.23/92.61 , clause( 1301, [ ~( equidistant( X, Y, Z, Z ) ), ~( equidistant( T, U, X,
% 92.23/92.61 Y ) ), ~( equidistant( T, U, u, v ) ) ] )
% 92.23/92.61 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, X ), :=( T, X ),
% 92.23/92.61 :=( U, X )] )).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 resolution(
% 92.23/92.61 clause( 13409, [ ~( equidistant( X, X, u, v ) ) ] )
% 92.23/92.61 , clause( 13407, [ ~( equidistant( X, X, X, X ) ), ~( equidistant( X, X, u
% 92.23/92.61 , v ) ) ] )
% 92.23/92.61 , 0, clause( 0, [ equidistant( X, Y, Y, X ) ] )
% 92.23/92.61 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 92.23/92.61 , X )] )).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 subsumption(
% 92.23/92.61 clause( 1307, [ ~( equidistant( X, X, u, v ) ) ] )
% 92.23/92.61 , clause( 13409, [ ~( equidistant( X, X, u, v ) ) ] )
% 92.23/92.61 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 factor(
% 92.23/92.61 clause( 13410, [ equidistant( v, v, u, v ), ~( equidistant( X, Y, v, v ) )
% 92.23/92.61 ] )
% 92.23/92.61 , clause( 1288, [ equidistant( X, Y, u, v ), ~( equidistant( Z, T, v, v ) )
% 92.23/92.61 , ~( equidistant( Z, T, X, Y ) ) ] )
% 92.23/92.61 , 1, 2, substitution( 0, [ :=( X, v ), :=( Y, v ), :=( Z, X ), :=( T, Y )] )
% 92.23/92.61 ).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 resolution(
% 92.23/92.61 clause( 13411, [ ~( equidistant( X, Y, v, v ) ) ] )
% 92.23/92.61 , clause( 1307, [ ~( equidistant( X, X, u, v ) ) ] )
% 92.23/92.61 , 0, clause( 13410, [ equidistant( v, v, u, v ), ~( equidistant( X, Y, v, v
% 92.23/92.61 ) ) ] )
% 92.23/92.61 , 0, substitution( 0, [ :=( X, v )] ), substitution( 1, [ :=( X, X ), :=( Y
% 92.23/92.61 , Y )] )).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 subsumption(
% 92.23/92.61 clause( 1315, [ ~( equidistant( X, Y, v, v ) ) ] )
% 92.23/92.61 , clause( 13411, [ ~( equidistant( X, Y, v, v ) ) ] )
% 92.23/92.61 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 92.23/92.61 )] ) ).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 resolution(
% 92.23/92.61 clause( 13412, [] )
% 92.23/92.61 , clause( 1315, [ ~( equidistant( X, Y, v, v ) ) ] )
% 92.23/92.61 , 0, clause( 918, [ equidistant( Y, reflection( X, Y ), X, Y ) ] )
% 92.23/92.61 , 0, substitution( 0, [ :=( X, v ), :=( Y, reflection( v, v ) )] ),
% 92.23/92.61 substitution( 1, [ :=( X, v ), :=( Y, v )] )).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 subsumption(
% 92.23/92.61 clause( 1316, [] )
% 92.23/92.61 , clause( 13412, [] )
% 92.23/92.61 , substitution( 0, [] ), permutation( 0, [] ) ).
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 end.
% 92.23/92.61
% 92.23/92.61 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 92.23/92.61
% 92.23/92.61 Memory use:
% 92.23/92.61
% 92.23/92.61 space for terms: 32832
% 92.23/92.61 space for clauses: 64648
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 clauses generated: 10873
% 92.23/92.61 clauses kept: 1317
% 92.23/92.61 clauses selected: 131
% 92.23/92.61 clauses deleted: 17
% 92.23/92.61 clauses inuse deleted: 1
% 92.23/92.61
% 92.23/92.61 subsentry: 105441506
% 92.23/92.61 literals s-matched: 43146227
% 92.23/92.61 literals matched: 34223019
% 92.23/92.61 full subsumption: 34204681
% 92.23/92.61
% 92.23/92.61 checksum: 881545067
% 92.23/92.61
% 92.23/92.61
% 92.23/92.61 Bliksem ended
%------------------------------------------------------------------------------