TSTP Solution File: GEO019-2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO019-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 02:50:54 EDT 2022
% Result : Unsatisfiable 0.72s 1.15s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO019-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n007.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 : Fri Jun 17 18:39:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/1.15 *** allocated 10000 integers for termspace/termends
% 0.72/1.15 *** allocated 10000 integers for clauses
% 0.72/1.15 *** allocated 10000 integers for justifications
% 0.72/1.15 Bliksem 1.12
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 Automatic Strategy Selection
% 0.72/1.15
% 0.72/1.15 Clauses:
% 0.72/1.15 [
% 0.72/1.15 [ equidistant( X, Y, Y, X ) ],
% 0.72/1.15 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 0.72/1.15 equidistant( Z, T, U, W ) ],
% 0.72/1.15 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.72/1.15 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.72/1.15 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.72/1.15 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.72/1.15 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 0.72/1.15 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.72/1.15 , V0, W, V1 ) ],
% 0.72/1.15 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.72/1.15 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 0.72/1.15 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.72/1.15 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 0.72/1.15 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.72/1.15 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.72/1.15 'lower_dimension_point_3' ) ) ],
% 0.72/1.15 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.72/1.15 'lower_dimension_point_1' ) ) ],
% 0.72/1.15 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.72/1.15 'lower_dimension_point_2' ) ) ],
% 0.72/1.15 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 0.72/1.15 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 0.72/1.15 between( U, X, T ), =( Y, Z ) ],
% 0.72/1.15 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.72/1.15 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.72/1.15 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.72/1.15 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.72/1.15 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.72/1.15 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.72/1.15 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.72/1.15 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.72/1.15 , Y, Z, W, T, U ), U ) ],
% 0.72/1.15 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.72/1.15 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 0.72/1.15 continuous( X, Y, Z, W, T, U ) ) ],
% 0.72/1.15 [ equidistant( u, v, w, x ) ],
% 0.72/1.15 [ ~( equidistant( w, x, v, u ) ) ]
% 0.72/1.15 ] .
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 percentage equality = 0.120690, percentage horn = 0.750000
% 0.72/1.15 This is a problem with some equality
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 Options Used:
% 0.72/1.15
% 0.72/1.15 useres = 1
% 0.72/1.15 useparamod = 1
% 0.72/1.15 useeqrefl = 1
% 0.72/1.15 useeqfact = 1
% 0.72/1.15 usefactor = 1
% 0.72/1.15 usesimpsplitting = 0
% 0.72/1.15 usesimpdemod = 5
% 0.72/1.15 usesimpres = 3
% 0.72/1.15
% 0.72/1.15 resimpinuse = 1000
% 0.72/1.15 resimpclauses = 20000
% 0.72/1.15 substype = eqrewr
% 0.72/1.15 backwardsubs = 1
% 0.72/1.15 selectoldest = 5
% 0.72/1.15
% 0.72/1.15 litorderings [0] = split
% 0.72/1.15 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.15
% 0.72/1.15 termordering = kbo
% 0.72/1.15
% 0.72/1.15 litapriori = 0
% 0.72/1.15 termapriori = 1
% 0.72/1.15 litaposteriori = 0
% 0.72/1.15 termaposteriori = 0
% 0.72/1.15 demodaposteriori = 0
% 0.72/1.15 ordereqreflfact = 0
% 0.72/1.15
% 0.72/1.15 litselect = negord
% 0.72/1.15
% 0.72/1.15 maxweight = 15
% 0.72/1.15 maxdepth = 30000
% 0.72/1.15 maxlength = 115
% 0.72/1.15 maxnrvars = 195
% 0.72/1.15 excuselevel = 1
% 0.72/1.15 increasemaxweight = 1
% 0.72/1.15
% 0.72/1.15 maxselected = 10000000
% 0.72/1.15 maxnrclauses = 10000000
% 0.72/1.15
% 0.72/1.15 showgenerated = 0
% 0.72/1.15 showkept = 0
% 0.72/1.15 showselected = 0
% 0.72/1.15 showdeleted = 0
% 0.72/1.15 showresimp = 1
% 0.72/1.15 showstatus = 2000
% 0.72/1.15
% 0.72/1.15 prologoutput = 1
% 0.72/1.15 nrgoals = 5000000
% 0.72/1.15 totalproof = 1
% 0.72/1.15
% 0.72/1.15 Symbols occurring in the translation:
% 0.72/1.15
% 0.72/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.15 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 0.72/1.15 ! [4, 1] (w:0, o:27, a:1, s:1, b:0),
% 0.72/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.15 equidistant [41, 4] (w:1, o:58, a:1, s:1, b:0),
% 0.72/1.15 extension [46, 4] (w:1, o:59, a:1, s:1, b:0),
% 0.72/1.15 between [47, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.72/1.15 'inner_pasch' [53, 5] (w:1, o:60, a:1, s:1, b:0),
% 0.72/1.15 'lower_dimension_point_1' [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.72/1.15 'lower_dimension_point_2' [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.72/1.15 'lower_dimension_point_3' [56, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.72/1.15 euclid1 [57, 5] (w:1, o:61, a:1, s:1, b:0),
% 0.72/1.15 euclid2 [58, 5] (w:1, o:62, a:1, s:1, b:0),
% 0.72/1.15 continuous [59, 6] (w:1, o:63, a:1, s:1, b:0),
% 0.72/1.15 u [60, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.72/1.15 v [61, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.72/1.15 w [62, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.72/1.15 x [63, 0] (w:1, o:26, a:1, s:1, b:0).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 Starting Search:
% 0.72/1.15
% 0.72/1.15 Resimplifying inuse:
% 0.72/1.15 Done
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 Bliksems!, er is een bewijs:
% 0.72/1.15 % SZS status Unsatisfiable
% 0.72/1.15 % SZS output start Refutation
% 0.72/1.15
% 0.72/1.15 clause( 0, [ equidistant( X, Y, Y, X ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) )
% 0.72/1.15 , equidistant( Z, T, U, W ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 18, [ equidistant( u, v, w, x ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 19, [ ~( equidistant( w, x, v, u ) ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 36, [ ~( equidistant( X, Y, w, x ) ), ~( equidistant( X, Y, v, u )
% 0.72/1.15 ) ] )
% 0.72/1.15 .
% 0.72/1.15 clause( 1398, [] )
% 0.72/1.15 .
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 % SZS output end Refutation
% 0.72/1.15 found a proof!
% 0.72/1.15
% 0.72/1.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.15
% 0.72/1.15 initialclauses(
% 0.72/1.15 [ clause( 1400, [ equidistant( X, Y, Y, X ) ] )
% 0.72/1.15 , clause( 1401, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 0.72/1.15 W ) ), equidistant( Z, T, U, W ) ] )
% 0.72/1.15 , clause( 1402, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.72/1.15 , clause( 1403, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.72/1.15 , clause( 1404, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.72/1.15 , clause( 1405, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T,
% 0.72/1.15 W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) )
% 0.72/1.15 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 0.72/1.15 equidistant( U, V0, W, V1 ) ] )
% 0.72/1.15 , clause( 1406, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.72/1.15 , clause( 1407, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.72/1.15 Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 0.72/1.15 , clause( 1408, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.72/1.15 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 0.72/1.15 , clause( 1409, [ ~( between( 'lower_dimension_point_1',
% 0.72/1.15 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.72/1.15 , clause( 1410, [ ~( between( 'lower_dimension_point_2',
% 0.72/1.15 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.72/1.15 , clause( 1411, [ ~( between( 'lower_dimension_point_3',
% 0.72/1.15 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.72/1.15 , clause( 1412, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T,
% 0.72/1.15 Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U
% 0.72/1.15 , X ), between( U, X, T ), =( Y, Z ) ] )
% 0.72/1.15 , clause( 1413, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.72/1.15 ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 0.72/1.15 , clause( 1414, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.72/1.15 ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 0.72/1.15 , clause( 1415, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.72/1.15 ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ] )
% 0.72/1.15 , clause( 1416, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 0.72/1.15 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 0.72/1.15 continuous( X, Y, Z, W, T, U ), U ) ] )
% 0.72/1.15 , clause( 1417, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 0.72/1.15 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X,
% 0.72/1.15 W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 0.72/1.15 , clause( 1418, [ equidistant( u, v, w, x ) ] )
% 0.72/1.15 , clause( 1419, [ ~( equidistant( w, x, v, u ) ) ] )
% 0.72/1.15 ] ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 subsumption(
% 0.72/1.15 clause( 0, [ equidistant( X, Y, Y, X ) ] )
% 0.72/1.15 , clause( 1400, [ equidistant( X, Y, Y, X ) ] )
% 0.72/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.15 )] ) ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 subsumption(
% 0.72/1.15 clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) )
% 0.72/1.15 , equidistant( Z, T, U, W ) ] )
% 0.72/1.15 , clause( 1401, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 0.72/1.15 W ) ), equidistant( Z, T, U, W ) ] )
% 0.72/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.15 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.72/1.15 , 2 )] ) ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 subsumption(
% 0.72/1.15 clause( 18, [ equidistant( u, v, w, x ) ] )
% 0.72/1.15 , clause( 1418, [ equidistant( u, v, w, x ) ] )
% 0.72/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 subsumption(
% 0.72/1.15 clause( 19, [ ~( equidistant( w, x, v, u ) ) ] )
% 0.72/1.15 , clause( 1419, [ ~( equidistant( w, x, v, u ) ) ] )
% 0.72/1.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 resolution(
% 0.72/1.15 clause( 1537, [ ~( equidistant( X, Y, w, x ) ), ~( equidistant( X, Y, v, u
% 0.72/1.15 ) ) ] )
% 0.72/1.15 , clause( 19, [ ~( equidistant( w, x, v, u ) ) ] )
% 0.72/1.15 , 0, clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 0.72/1.15 W ) ), equidistant( Z, T, U, W ) ] )
% 0.72/1.15 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=(
% 0.72/1.15 Z, w ), :=( T, x ), :=( U, v ), :=( W, u )] )).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 subsumption(
% 0.72/1.15 clause( 36, [ ~( equidistant( X, Y, w, x ) ), ~( equidistant( X, Y, v, u )
% 0.72/1.15 ) ] )
% 0.72/1.15 , clause( 1537, [ ~( equidistant( X, Y, w, x ) ), ~( equidistant( X, Y, v,
% 0.72/1.15 u ) ) ] )
% 0.72/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.15 ), ==>( 1, 1 )] ) ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 resolution(
% 0.72/1.15 clause( 1538, [ ~( equidistant( u, v, v, u ) ) ] )
% 0.72/1.15 , clause( 36, [ ~( equidistant( X, Y, w, x ) ), ~( equidistant( X, Y, v, u
% 0.72/1.15 ) ) ] )
% 0.72/1.15 , 0, clause( 18, [ equidistant( u, v, w, x ) ] )
% 0.72/1.15 , 0, substitution( 0, [ :=( X, u ), :=( Y, v )] ), substitution( 1, [] )
% 0.72/1.15 ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 resolution(
% 0.72/1.15 clause( 1539, [] )
% 0.72/1.15 , clause( 1538, [ ~( equidistant( u, v, v, u ) ) ] )
% 0.72/1.15 , 0, clause( 0, [ equidistant( X, Y, Y, X ) ] )
% 0.72/1.15 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, u ), :=( Y, v )] )
% 0.72/1.15 ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 subsumption(
% 0.72/1.15 clause( 1398, [] )
% 0.72/1.15 , clause( 1539, [] )
% 0.72/1.15 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 end.
% 0.72/1.15
% 0.72/1.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.15
% 0.72/1.15 Memory use:
% 0.72/1.15
% 0.72/1.15 space for terms: 35177
% 0.72/1.15 space for clauses: 67154
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 clauses generated: 10830
% 0.72/1.15 clauses kept: 1399
% 0.72/1.15 clauses selected: 128
% 0.72/1.15 clauses deleted: 19
% 0.72/1.15 clauses inuse deleted: 1
% 0.72/1.15
% 0.72/1.15 subsentry: 18101
% 0.72/1.15 literals s-matched: 13705
% 0.72/1.15 literals matched: 10758
% 0.72/1.15 full subsumption: 7706
% 0.72/1.15
% 0.72/1.15 checksum: -165143398
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 Bliksem ended
%------------------------------------------------------------------------------