TSTP Solution File: GEO056-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO056-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 02:51:15 EDT 2022
% Result : Unsatisfiable 0.42s 1.06s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO056-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n023.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 10:38:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/1.06 *** allocated 10000 integers for termspace/termends
% 0.42/1.06 *** allocated 10000 integers for clauses
% 0.42/1.06 *** allocated 10000 integers for justifications
% 0.42/1.06 Bliksem 1.12
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Automatic Strategy Selection
% 0.42/1.06
% 0.42/1.06 Clauses:
% 0.42/1.06 [
% 0.42/1.06 [ equidistant( X, Y, Y, X ) ],
% 0.42/1.06 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 0.42/1.06 equidistant( Z, T, U, W ) ],
% 0.42/1.06 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.42/1.06 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.42/1.06 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.42/1.06 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.42/1.06 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 0.42/1.06 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.42/1.06 , V0, W, V1 ) ],
% 0.42/1.06 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.42/1.06 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 0.42/1.06 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.42/1.06 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 0.42/1.06 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.42/1.06 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.42/1.06 'lower_dimension_point_3' ) ) ],
% 0.42/1.06 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.42/1.06 'lower_dimension_point_1' ) ) ],
% 0.42/1.06 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.42/1.06 'lower_dimension_point_2' ) ) ],
% 0.42/1.06 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 0.42/1.06 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 0.42/1.06 between( U, X, T ), =( Y, Z ) ],
% 0.42/1.06 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.42/1.06 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.42/1.06 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.42/1.06 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.42/1.06 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.42/1.06 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.42/1.06 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.42/1.06 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.42/1.06 , Y, Z, W, T, U ), U ) ],
% 0.42/1.06 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.42/1.06 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 0.42/1.06 continuous( X, Y, Z, W, T, U ) ) ],
% 0.42/1.06 [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ],
% 0.42/1.06 [ equidistant( X, Y, X, Y ) ],
% 0.42/1.06 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ],
% 0.42/1.06 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ],
% 0.42/1.06 [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z ) ],
% 0.42/1.06 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z ) ],
% 0.42/1.06 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X ) ],
% 0.42/1.06 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y ) ],
% 0.42/1.06 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X ) ],
% 0.42/1.06 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U, W ) ),
% 0.42/1.06 equidistant( X, Y, U, W ) ],
% 0.42/1.06 [ =( X, extension( Y, X, Z, Z ) ) ],
% 0.42/1.06 [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ],
% 0.42/1.06 [ between( X, Y, reflection( X, Y ) ) ],
% 0.42/1.06 [ equidistant( X, reflection( Y, X ), Y, X ) ],
% 0.42/1.06 [ =( u, v ) ],
% 0.42/1.06 [ ~( =( v, reflection( u, v ) ) ) ]
% 0.42/1.06 ] .
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 percentage equality = 0.146341, percentage horn = 0.852941
% 0.42/1.06 This is a problem with some equality
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Options Used:
% 0.42/1.06
% 0.42/1.06 useres = 1
% 0.42/1.06 useparamod = 1
% 0.42/1.06 useeqrefl = 1
% 0.42/1.06 useeqfact = 1
% 0.42/1.06 usefactor = 1
% 0.42/1.06 usesimpsplitting = 0
% 0.42/1.06 usesimpdemod = 5
% 0.42/1.06 usesimpres = 3
% 0.42/1.06
% 0.42/1.06 resimpinuse = 1000
% 0.42/1.06 resimpclauses = 20000
% 0.42/1.06 substype = eqrewr
% 0.42/1.06 backwardsubs = 1
% 0.42/1.06 selectoldest = 5
% 0.42/1.06
% 0.42/1.06 litorderings [0] = split
% 0.42/1.06 litorderings [1] = extend the termordering, first sorting on arguments
% 0.42/1.06
% 0.42/1.06 termordering = kbo
% 0.42/1.06
% 0.42/1.06 litapriori = 0
% 0.42/1.06 termapriori = 1
% 0.42/1.06 litaposteriori = 0
% 0.42/1.06 termaposteriori = 0
% 0.42/1.06 demodaposteriori = 0
% 0.42/1.06 ordereqreflfact = 0
% 0.42/1.06
% 0.42/1.06 litselect = negord
% 0.42/1.06
% 0.42/1.06 maxweight = 15
% 0.42/1.06 maxdepth = 30000
% 0.42/1.06 maxlength = 115
% 0.42/1.06 maxnrvars = 195
% 0.42/1.06 excuselevel = 1
% 0.42/1.06 increasemaxweight = 1
% 0.42/1.06
% 0.42/1.06 maxselected = 10000000
% 0.42/1.06 maxnrclauses = 10000000
% 0.42/1.06
% 0.42/1.06 showgenerated = 0
% 0.42/1.06 showkept = 0
% 0.42/1.06 showselected = 0
% 0.42/1.06 showdeleted = 0
% 0.42/1.06 showresimp = 1
% 0.42/1.06 showstatus = 2000
% 0.42/1.06
% 0.42/1.06 prologoutput = 1
% 0.42/1.06 nrgoals = 5000000
% 0.42/1.06 totalproof = 1
% 0.42/1.06
% 0.42/1.06 Symbols occurring in the translation:
% 0.42/1.06
% 0.42/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.06 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 0.42/1.06 ! [4, 1] (w:0, o:25, a:1, s:1, b:0),
% 0.42/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.06 equidistant [41, 4] (w:1, o:57, a:1, s:1, b:0),
% 0.42/1.06 extension [46, 4] (w:1, o:58, a:1, s:1, b:0),
% 0.42/1.06 between [47, 3] (w:1, o:56, a:1, s:1, b:0),
% 0.42/1.06 'inner_pasch' [53, 5] (w:1, o:59, a:1, s:1, b:0),
% 0.42/1.06 'lower_dimension_point_1' [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.42/1.06 'lower_dimension_point_2' [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.42/1.06 'lower_dimension_point_3' [56, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.42/1.06 euclid1 [57, 5] (w:1, o:60, a:1, s:1, b:0),
% 0.42/1.06 euclid2 [58, 5] (w:1, o:61, a:1, s:1, b:0),
% 0.42/1.06 continuous [59, 6] (w:1, o:62, a:1, s:1, b:0),
% 0.42/1.06 reflection [60, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.42/1.06 u [61, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.42/1.06 v [62, 0] (w:1, o:24, a:1, s:1, b:0).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Starting Search:
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Bliksems!, er is een bewijs:
% 0.42/1.06 % SZS status Unsatisfiable
% 0.42/1.06 % SZS output start Refutation
% 0.42/1.06
% 0.42/1.06 clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 31, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 32, [ =( v, u ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 33, [ ~( =( reflection( u, u ), u ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 82, [ =( reflection( X, X ), X ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 94, [ ~( equidistant( u, X, Y, Y ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 114, [] )
% 0.42/1.06 .
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 % SZS output end Refutation
% 0.42/1.06 found a proof!
% 0.42/1.06
% 0.42/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.06
% 0.42/1.06 initialclauses(
% 0.42/1.06 [ clause( 116, [ equidistant( X, Y, Y, X ) ] )
% 0.42/1.06 , clause( 117, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W
% 0.42/1.06 ) ), equidistant( Z, T, U, W ) ] )
% 0.42/1.06 , clause( 118, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.42/1.06 , clause( 119, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.42/1.06 , clause( 120, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.42/1.06 , clause( 121, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W
% 0.42/1.06 ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) )
% 0.42/1.06 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 0.42/1.06 equidistant( U, V0, W, V1 ) ] )
% 0.42/1.06 , clause( 122, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.42/1.06 , clause( 123, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.42/1.06 Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 0.42/1.06 , clause( 124, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.42/1.06 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 0.42/1.06 , clause( 125, [ ~( between( 'lower_dimension_point_1',
% 0.42/1.06 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.42/1.06 , clause( 126, [ ~( between( 'lower_dimension_point_2',
% 0.42/1.06 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.42/1.06 , clause( 127, [ ~( between( 'lower_dimension_point_3',
% 0.42/1.06 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.42/1.06 , clause( 128, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z
% 0.42/1.06 ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U,
% 0.42/1.06 X ), between( U, X, T ), =( Y, Z ) ] )
% 0.42/1.06 , clause( 129, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.42/1.06 ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 0.42/1.06 , clause( 130, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.42/1.06 ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 0.42/1.06 , clause( 131, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.42/1.06 ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ] )
% 0.42/1.06 , clause( 132, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U
% 0.42/1.06 ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 0.42/1.06 continuous( X, Y, Z, W, T, U ), U ) ] )
% 0.42/1.06 , clause( 133, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U
% 0.42/1.06 ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W
% 0.42/1.06 , X, continuous( X, Y, Z, W, T, U ) ) ] )
% 0.42/1.06 , clause( 134, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 0.42/1.06 , clause( 135, [ equidistant( X, Y, X, Y ) ] )
% 0.42/1.06 , clause( 136, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y )
% 0.42/1.06 ] )
% 0.42/1.06 , clause( Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------