TSTP Solution File: GEO055-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO055-2 : 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 02:51:14 EDT 2022
% Result : Unsatisfiable 0.73s 1.13s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO055-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n005.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 05:57:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.73/1.13 *** allocated 10000 integers for termspace/termends
% 0.73/1.13 *** allocated 10000 integers for clauses
% 0.73/1.13 *** allocated 10000 integers for justifications
% 0.73/1.13 Bliksem 1.12
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Automatic Strategy Selection
% 0.73/1.13
% 0.73/1.13 Clauses:
% 0.73/1.13 [
% 0.73/1.13 [ equidistant( X, Y, Y, X ) ],
% 0.73/1.13 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 0.73/1.13 equidistant( Z, T, U, W ) ],
% 0.73/1.13 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.73/1.13 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.73/1.13 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.73/1.13 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.73/1.13 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 0.73/1.13 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.73/1.13 , V0, W, V1 ) ],
% 0.73/1.13 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.73/1.13 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 0.73/1.13 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.73/1.13 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 0.73/1.13 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.73/1.13 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.73/1.13 'lower_dimension_point_3' ) ) ],
% 0.73/1.13 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.73/1.13 'lower_dimension_point_1' ) ) ],
% 0.73/1.13 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.73/1.13 'lower_dimension_point_2' ) ) ],
% 0.73/1.13 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 0.73/1.13 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 0.73/1.13 between( U, X, T ), =( Y, Z ) ],
% 0.73/1.13 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.73/1.13 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.73/1.13 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.73/1.13 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.73/1.13 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.73/1.13 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.73/1.13 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.73/1.13 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.73/1.13 , Y, Z, W, T, U ), U ) ],
% 0.73/1.13 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.73/1.13 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 0.73/1.13 continuous( X, Y, Z, W, T, U ) ) ],
% 0.73/1.13 [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ],
% 0.73/1.13 [ ~( equidistant( v, reflection( u, v ), u, v ) ) ]
% 0.73/1.13 ] .
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 percentage equality = 0.137931, percentage horn = 0.750000
% 0.73/1.13 This is a problem with some equality
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Options Used:
% 0.73/1.13
% 0.73/1.13 useres = 1
% 0.73/1.13 useparamod = 1
% 0.73/1.13 useeqrefl = 1
% 0.73/1.13 useeqfact = 1
% 0.73/1.13 usefactor = 1
% 0.73/1.13 usesimpsplitting = 0
% 0.73/1.13 usesimpdemod = 5
% 0.73/1.13 usesimpres = 3
% 0.73/1.13
% 0.73/1.13 resimpinuse = 1000
% 0.73/1.13 resimpclauses = 20000
% 0.73/1.13 substype = eqrewr
% 0.73/1.13 backwardsubs = 1
% 0.73/1.13 selectoldest = 5
% 0.73/1.13
% 0.73/1.13 litorderings [0] = split
% 0.73/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.13
% 0.73/1.13 termordering = kbo
% 0.73/1.13
% 0.73/1.13 litapriori = 0
% 0.73/1.13 termapriori = 1
% 0.73/1.13 litaposteriori = 0
% 0.73/1.13 termaposteriori = 0
% 0.73/1.13 demodaposteriori = 0
% 0.73/1.13 ordereqreflfact = 0
% 0.73/1.13
% 0.73/1.13 litselect = negord
% 0.73/1.13
% 0.73/1.13 maxweight = 15
% 0.73/1.13 maxdepth = 30000
% 0.73/1.13 maxlength = 115
% 0.73/1.13 maxnrvars = 195
% 0.73/1.13 excuselevel = 1
% 0.73/1.13 increasemaxweight = 1
% 0.73/1.13
% 0.73/1.13 maxselected = 10000000
% 0.73/1.13 maxnrclauses = 10000000
% 0.73/1.13
% 0.73/1.13 showgenerated = 0
% 0.73/1.13 showkept = 0
% 0.73/1.13 showselected = 0
% 0.73/1.13 showdeleted = 0
% 0.73/1.13 showresimp = 1
% 0.73/1.13 showstatus = 2000
% 0.73/1.13
% 0.73/1.13 prologoutput = 1
% 0.73/1.13 nrgoals = 5000000
% 0.73/1.13 totalproof = 1
% 0.73/1.13
% 0.73/1.13 Symbols occurring in the translation:
% 0.73/1.13
% 0.73/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.13 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 0.73/1.13 ! [4, 1] (w:0, o:25, a:1, s:1, b:0),
% 0.73/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.13 equidistant [41, 4] (w:1, o:57, a:1, s:1, b:0),
% 0.73/1.13 extension [46, 4] (w:1, o:58, a:1, s:1, b:0),
% 0.73/1.13 between [47, 3] (w:1, o:56, a:1, s:1, b:0),
% 0.73/1.13 'inner_pasch' [53, 5] (w:1, o:59, a:1, s:1, b:0),
% 0.73/1.13 'lower_dimension_point_1' [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.73/1.13 'lower_dimension_point_2' [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.73/1.13 'lower_dimension_point_3' [56, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.73/1.13 euclid1 [57, 5] (w:1, o:60, a:1, s:1, b:0),
% 0.73/1.13 euclid2 [58, 5] (w:1, o:61, a:1, s:1, b:0),
% 0.73/1.13 continuous [59, 6] (w:1, o:62, a:1, s:1, b:0),
% 0.73/1.13 reflection [60, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.73/1.13 v [61, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.73/1.13 u [62, 0] (w:1, o:23, a:1, s:1, b:0).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Starting Search:
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Bliksems!, er is een bewijs:
% 0.73/1.13 % SZS status Unsatisfiable
% 0.73/1.13 % SZS output start Refutation
% 0.73/1.13
% 0.73/1.13 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 18, [ =( extension( X, Y, X, Y ), reflection( X, Y ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 19, [ ~( equidistant( v, reflection( u, v ), u, v ) ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 896, [ equidistant( Y, reflection( X, Y ), X, Y ) ] )
% 0.73/1.13 .
% 0.73/1.13 clause( 955, [] )
% 0.73/1.13 .
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 % SZS output end Refutation
% 0.73/1.13 found a proof!
% 0.73/1.13
% 0.73/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.13
% 0.73/1.13 initialclauses(
% 0.73/1.13 [ clause( 957, [ equidistant( X, Y, Y, X ) ] )
% 0.73/1.13 , clause( 958, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W
% 0.73/1.13 ) ), equidistant( Z, T, U, W ) ] )
% 0.73/1.13 , clause( 959, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.73/1.13 , clause( 960, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.73/1.13 , clause( 961, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.73/1.13 , clause( 962, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W
% 0.73/1.13 ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) )
% 0.73/1.13 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 0.73/1.13 equidistant( U, V0, W, V1 ) ] )
% 0.73/1.13 , clause( 963, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.73/1.13 , clause( 964, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.73/1.13 Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 0.73/1.13 , clause( 965, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.73/1.13 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 0.73/1.13 , clause( 966, [ ~( between( 'lower_dimension_point_1',
% 0.73/1.13 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.73/1.13 , clause( 967, [ ~( between( 'lower_dimension_point_2',
% 0.73/1.13 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.73/1.13 , clause( 968, [ ~( between( 'lower_dimension_point_3',
% 0.73/1.13 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.73/1.13 , clause( 969, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z
% 0.73/1.13 ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U,
% 0.73/1.13 X ), between( U, X, T ), =( Y, Z ) ] )
% 0.73/1.13 , clause( 970, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.73/1.13 ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 0.73/1.13 , clause( 971, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.73/1.13 ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 0.73/1.13 , clause( 972, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.73/1.13 ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ] )
% 0.73/1.13 , clause( 973, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U
% 0.73/1.13 ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 0.73/1.13 continuous( X, Y, Z, W, T, U ), U ) ] )
% 0.73/1.13 , clause( 974, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U
% 0.73/1.13 ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W
% 0.73/1.13 , X, continuous( X, Y, Z, W, T, U ) ) ] )
% 0.73/1.13 , clause( 975, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 0.73/1.13 , clause( 976, [ ~( equidistant( v, reflection( u, v ), u, v ) ) ] )
% 0.73/1.13 ] ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.73/1.13 , clause( 961, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.73/1.13 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 eqswap(
% 0.73/1.13 clause( 1037, [ =( extension( X, Y, X, Y ), reflection( X, Y ) ) ] )
% 0.73/1.13 , clause( 975, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 0.73/1.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 18, [ =( extension( X, Y, X, Y ), reflection( X, Y ) ) ] )
% 0.73/1.13 , clause( 1037, [ =( extension( X, Y, X, Y ), reflection( X, Y ) ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 19, [ ~( equidistant( v, reflection( u, v ), u, v ) ) ] )
% 0.73/1.13 , clause( 976, [ ~( equidistant( v, reflection( u, v ), u, v ) ) ] )
% 0.73/1.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 paramod(
% 0.73/1.13 clause( 1098, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 0.73/1.13 , clause( 18, [ =( extension( X, Y, X, Y ), reflection( X, Y ) ) ] )
% 0.73/1.13 , 0, clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.73/1.13 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [
% 0.73/1.13 :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, X )] )).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 896, [ equidistant( Y, reflection( X, Y ), X, Y ) ] )
% 0.73/1.13 , clause( 1098, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 0.73/1.13 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.13 )] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 resolution(
% 0.73/1.13 clause( 1099, [] )
% 0.73/1.13 , clause( 19, [ ~( equidistant( v, reflection( u, v ), u, v ) ) ] )
% 0.73/1.13 , 0, clause( 896, [ equidistant( Y, reflection( X, Y ), X, Y ) ] )
% 0.73/1.13 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, u ), :=( Y, v )] )
% 0.73/1.13 ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 subsumption(
% 0.73/1.13 clause( 955, [] )
% 0.73/1.13 , clause( 1099, [] )
% 0.73/1.13 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 end.
% 0.73/1.13
% 0.73/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.13
% 0.73/1.13 Memory use:
% 0.73/1.13
% 0.73/1.13 space for terms: 27602
% 0.73/1.13 space for clauses: 50381
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 clauses generated: 5661
% 0.73/1.13 clauses kept: 956
% 0.73/1.13 clauses selected: 73
% 0.73/1.13 clauses deleted: 1
% 0.73/1.13 clauses inuse deleted: 0
% 0.73/1.13
% 0.73/1.13 subsentry: 11982
% 0.73/1.13 literals s-matched: 9615
% 0.73/1.13 literals matched: 7739
% 0.73/1.13 full subsumption: 6439
% 0.73/1.13
% 0.73/1.13 checksum: -1041033446
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Bliksem ended
%------------------------------------------------------------------------------