TSTP Solution File: GEO016-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO016-3 : 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 02:50:53 EDT 2022
% Result : Unsatisfiable 0.90s 1.35s
% Output : Refutation 0.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO016-3 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % 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 : Sat Jun 18 12:19:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.90/1.35 *** allocated 10000 integers for termspace/termends
% 0.90/1.35 *** allocated 10000 integers for clauses
% 0.90/1.35 *** allocated 10000 integers for justifications
% 0.90/1.35 Bliksem 1.12
% 0.90/1.35
% 0.90/1.35
% 0.90/1.35 Automatic Strategy Selection
% 0.90/1.35
% 0.90/1.35 Clauses:
% 0.90/1.35 [
% 0.90/1.35 [ equidistant( X, Y, Y, X ) ],
% 0.90/1.35 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 0.90/1.35 equidistant( Z, T, U, W ) ],
% 0.90/1.35 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.90/1.35 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.90/1.35 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.90/1.35 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.90/1.35 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 0.90/1.35 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.90/1.35 , V0, W, V1 ) ],
% 0.90/1.35 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.90/1.35 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 0.90/1.35 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.90/1.35 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 0.90/1.35 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.90/1.35 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.90/1.35 'lower_dimension_point_3' ) ) ],
% 0.90/1.35 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.90/1.35 'lower_dimension_point_1' ) ) ],
% 0.90/1.35 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.90/1.35 'lower_dimension_point_2' ) ) ],
% 0.90/1.35 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 0.90/1.35 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 0.90/1.35 between( U, X, T ), =( Y, Z ) ],
% 0.90/1.35 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.90/1.35 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.90/1.35 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.90/1.35 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.90/1.35 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.90/1.35 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.90/1.35 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.90/1.35 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.90/1.35 , Y, Z, W, T, U ), U ) ],
% 0.90/1.35 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.90/1.35 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 0.90/1.35 continuous( X, Y, Z, W, T, U ) ) ],
% 0.90/1.35 [ equidistant( X, Y, X, Y ) ],
% 0.90/1.35 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ],
% 0.90/1.35 [ equidistant( u, v, w, x ) ],
% 0.90/1.35 [ ~( equidistant( v, u, w, x ) ) ]
% 0.90/1.35 ] .
% 0.90/1.35
% 0.90/1.35
% 0.90/1.35 percentage equality = 0.114754, percentage horn = 0.772727
% 0.90/1.35 This is a problem with some equality
% 0.90/1.35
% 0.90/1.35
% 0.90/1.35
% 0.90/1.35 Options Used:
% 0.90/1.35
% 0.90/1.35 useres = 1
% 0.90/1.35 useparamod = 1
% 0.90/1.35 useeqrefl = 1
% 0.90/1.35 useeqfact = 1
% 0.90/1.35 usefactor = 1
% 0.90/1.35 usesimpsplitting = 0
% 0.90/1.35 usesimpdemod = 5
% 0.90/1.35 usesimpres = 3
% 0.90/1.35
% 0.90/1.35 resimpinuse = 1000
% 0.90/1.35 resimpclauses = 20000
% 0.90/1.35 substype = eqrewr
% 0.90/1.35 backwardsubs = 1
% 0.90/1.35 selectoldest = 5
% 0.90/1.35
% 0.90/1.35 litorderings [0] = split
% 0.90/1.35 litorderings [1] = extend the termordering, first sorting on arguments
% 0.90/1.35
% 0.90/1.35 termordering = kbo
% 0.90/1.35
% 0.90/1.35 litapriori = 0
% 0.90/1.35 termapriori = 1
% 0.90/1.35 litaposteriori = 0
% 0.90/1.35 termaposteriori = 0
% 0.90/1.35 demodaposteriori = 0
% 0.90/1.35 ordereqreflfact = 0
% 0.90/1.35
% 0.90/1.35 litselect = negord
% 0.90/1.35
% 0.90/1.35 maxweight = 15
% 0.90/1.35 maxdepth = 30000
% 0.90/1.35 maxlength = 115
% 0.90/1.35 maxnrvars = 195
% 0.90/1.35 excuselevel = 1
% 0.90/1.35 increasemaxweight = 1
% 0.90/1.35
% 0.90/1.35 maxselected = 10000000
% 0.90/1.35 maxnrclauses = 10000000
% 0.90/1.35
% 0.90/1.35 showgenerated = 0
% 0.90/1.35 showkept = 0
% 0.90/1.35 showselected = 0
% 0.90/1.35 showdeleted = 0
% 0.90/1.35 showresimp = 1
% 0.90/1.35 showstatus = 2000
% 0.90/1.35
% 0.90/1.35 prologoutput = 1
% 0.90/1.35 nrgoals = 5000000
% 0.90/1.35 totalproof = 1
% 0.90/1.35
% 0.90/1.35 Symbols occurring in the translation:
% 0.90/1.35
% 0.90/1.35 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.90/1.35 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 0.90/1.35 ! [4, 1] (w:0, o:27, a:1, s:1, b:0),
% 0.90/1.35 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.90/1.35 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.90/1.35 equidistant [41, 4] (w:1, o:58, a:1, s:1, b:0),
% 0.90/1.35 extension [46, 4] (w:1, o:59, a:1, s:1, b:0),
% 0.90/1.35 between [47, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.90/1.35 'inner_pasch' [53, 5] (w:1, o:60, a:1, s:1, b:0),
% 0.90/1.35 'lower_dimension_point_1' [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.90/1.35 'lower_dimension_point_2' [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.90/1.35 'lower_dimension_point_3' [56, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.90/1.35 euclid1 [57, 5] (w:1, o:61, a:1, s:1, b:0),
% 0.90/1.35 euclid2 [58, 5] (w:1, o:62, a:1, s:1, b:0),
% 0.90/1.35 continuous [59, 6] (w:1, o:63, a:1, s:1, b:0),
% 0.90/1.35 u [60, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.90/1.35 v [61, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.90/1.35 w [62, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.90/1.35 x [63, 0] (w:1, o:26, a:1, s:1, b:0).
% 0.90/1.35
% 0.90/1.35
% 0.90/1.35 Starting Search:
% 0.90/1.35
% 0.90/1.35 Resimplifying inuse:
% 0.90/1.35 Done
% 0.90/1.35
% 0.90/1.35
% 0.90/1.35 Bliksems!, er is een bewijs:
% 0.90/1.35 % SZS status Unsatisfiable
% 0.90/1.35 % SZS output start Refutation
% 0.90/1.35
% 0.90/1.35 clause( 0, [ equidistant( X, Y, Y, X ) ] )
% 0.90/1.35 .
% 0.90/1.35 clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) )
% 0.90/1.35 , equidistant( Z, T, U, W ) ] )
% 0.90/1.35 .
% 0.90/1.35 clause( 20, [ equidistant( u, v, w, x ) ] )
% 0.90/1.35 .
% 0.90/1.35 clause( 21, [ ~( equidistant( v, u, w, x ) ) ] )
% 0.90/1.35 .
% 0.90/1.35 clause( 37, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ]
% 0.90/1.35 )
% 0.90/1.35 .
% 0.90/1.35 clause( 1861, [] )
% 0.90/1.35 .
% 0.90/1.35
% 0.90/1.35
% 0.90/1.35 % SZS output end Refutation
% 0.90/1.35 found a proof!
% 0.90/1.35
% 0.90/1.35 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.90/1.35
% 0.90/1.35 initialclauses(
% 0.90/1.35 [ clause( 1863, [ equidistant( X, Y, Y, X ) ] )
% 0.90/1.35 , clause( 1864, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 0.90/1.35 W ) ), equidistant( Z, T, U, W ) ] )
% 0.90/1.35 , clause( 1865, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.90/1.35 , clause( 1866, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.90/1.35 , clause( 1867, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.90/1.35 , clause( 1868, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T,
% 0.90/1.35 W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) )
% 0.90/1.35 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 0.90/1.35 equidistant( U, V0, W, V1 ) ] )
% 0.90/1.35 , clause( 1869, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.90/1.35 , clause( 1870, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.90/1.35 Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 0.90/1.35 , clause( 1871, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.90/1.35 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 0.90/1.35 , clause( 1872, [ ~( between( 'lower_dimension_point_1',
% 0.90/1.35 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.90/1.35 , clause( 1873, [ ~( between( 'lower_dimension_point_2',
% 0.90/1.35 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.90/1.35 , clause( 1874, [ ~( between( 'lower_dimension_point_3',
% 0.90/1.35 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.90/1.35 , clause( 1875, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T,
% 0.90/1.35 Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U
% 0.90/1.35 , X ), between( U, X, T ), =( Y, Z ) ] )
% 0.90/1.35 , clause( 1876, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.90/1.35 ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 0.90/1.35 , clause( 1877, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.90/1.35 ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 0.90/1.35 , clause( 1878, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.90/1.35 ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ] )
% 0.90/1.35 , clause( 1879, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 0.90/1.35 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 0.90/1.35 continuous( X, Y, Z, W, T, U ), U ) ] )
% 0.90/1.35 , clause( 1880, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 0.90/1.35 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X,
% 0.90/1.35 W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 0.90/1.35 , clause( 1881, [ equidistant( X, Y, X, Y ) ] )
% 0.90/1.35 , clause( 1882, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y )
% 0.90/1.35 ] )
% 0.90/1.35 , clause( 1883, [ equidistant( u, v, w, x ) ] )
% 0.90/1.35 , clause( 1884, [ ~( equidistant( v, u, w, x ) ) ] )
% 0.90/1.35 ] ).
% 0.90/1.35
% 0.90/1.35
% 0.90/1.35
% 0.90/1.35 subsumption(
% 0.90/1.35 clause( 0, [ equidistant( X, Y, Y, X ) ] )
% 0.90/1.35 , clause( 1863, [ equidistant( X, Y, Y, X ) ] )
% 0.90/1.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.90/1.35 )] ) ).
% 0.90/1.35
% 0.90/1.35
% 0.90/1.35 subsumption(
% 0.90/1.35 clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) )
% 0.90/1.35 , equidistant( Z, T, U, W ) ] )
% 0.90/1.35 , clause( 1864, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 0.90/1.35 W ) ), equidistant( Z, T, U, W ) ] )
% 0.90/1.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.90/1.35 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 0.90/1.35 , 2 )] ) ).
% 0.90/1.35
% 0.90/1.35
% 0.90/1.35 subsumption(
% 0.90/1.35 clause( 20, [ equidistant( u, v, w, x ) ] )
% 0.90/1.35 , clause( 1883, [ equidistant( u, v, w, x ) ] )
% 0.90/1.35 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.90/1.35
% 0.90/1.35
% 0.90/1.35 subsumption(
% 0.90/1.35 clause( 21, [ ~( equidistant( v, u, w, x ) ) ] )
% 0.90/1.35 , clause( 1884, [ ~( equidistant( v, u, w, x ) ) ] )
% 0.90/1.35 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.90/1.35
% 0.90/1.35
% 0.90/1.35 resolution(
% 0.90/1.35 clause( 2002, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ]
% 0.90/1.35 )
% 0.90/1.35 , clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W )
% 0.90/1.35 ), equidistant( Z, T, U, W ) ] )
% 0.90/1.35 , 0, clause( 0, [ equidistant( X, Y, Y, X ) ] )
% 0.90/1.35 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, X ),
% 0.90/1.35 :=( U, Z ), :=( W, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.90/1.35 ).
% 0.90/1.35
% 0.90/1.35
% 0.90/1.35 subsumption(
% 0.90/1.35 clause( 37, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ]
% 0.90/1.35 )
% 0.90/1.35 , clause( 2002, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T )
% 0.90/1.35 ] )
% 0.90/1.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.90/1.35 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.90/1.35
% 0.90/1.35
% 0.90/1.35 resolution(
% 0.90/1.35 clause( 2004, [ equidistant( v, u, w, x ) ] )
% 0.90/1.35 , clause( 37, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ]
% 0.90/1.35 )
% 0.90/1.35 , 0, clause( 20, [ equidistant( u, v, w, x ) ] )
% 0.90/1.35 , 0, substitution( 0, [ :=( X, u ), :=( Y, v ), :=( Z, w ), :=( T, x )] ),
% 0.90/1.35 substitution( 1, [] )).
% 0.90/1.35
% 0.90/1.35
% 0.90/1.35 resolution(
% 0.90/1.35 clause( 2005, [] )
% 0.90/1.35 , clause( 21, [ ~( equidistant( v, u, w, x ) ) ] )
% 0.90/1.35 , 0, clause( 2004, [ equidistant( v, u, w, x ) ] )
% 0.90/1.35 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.90/1.35
% 0.90/1.35
% 0.90/1.35 subsumption(
% 0.90/1.35 clause( 1861, [] )
% 0.90/1.35 , clause( 2005, [] )
% 0.90/1.35 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.90/1.35
% 0.90/1.35
% 0.90/1.35 end.
% 0.90/1.35
% 0.90/1.35 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.90/1.35
% 0.90/1.35 Memory use:
% 0.90/1.35
% 0.90/1.35 space for terms: 42817
% 0.90/1.35 space for clauses: 82880
% 0.90/1.35
% 0.90/1.35
% 0.90/1.35 clauses generated: 11901
% 0.90/1.35 clauses kept: 1862
% 0.90/1.35 clauses selected: 128
% 0.90/1.35 clauses deleted: 18
% 0.90/1.35 clauses inuse deleted: 0
% 0.90/1.35
% 0.90/1.35 subsentry: 20663
% 0.90/1.35 literals s-matched: 15195
% 0.90/1.35 literals matched: 12568
% 0.90/1.35 full subsumption: 8220
% 0.90/1.35
% 0.90/1.35 checksum: -1470803256
% 0.90/1.35
% 0.90/1.35
% 0.90/1.35 Bliksem ended
%------------------------------------------------------------------------------