TSTP Solution File: GEO011-5 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO011-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.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 02:50:50 EDT 2022
% Result : Unsatisfiable 0.87s 1.22s
% Output : Refutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO011-5 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Fri Jun 17 17:31:42 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.87/1.22 *** allocated 10000 integers for termspace/termends
% 0.87/1.22 *** allocated 10000 integers for clauses
% 0.87/1.22 *** allocated 10000 integers for justifications
% 0.87/1.22 Bliksem 1.12
% 0.87/1.22
% 0.87/1.22
% 0.87/1.22 Automatic Strategy Selection
% 0.87/1.22
% 0.87/1.22 Clauses:
% 0.87/1.22 [
% 0.87/1.22 [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ],
% 0.87/1.22 [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ],
% 0.87/1.22 [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ],
% 0.87/1.22 [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z, X ),
% 0.87/1.22 between( Z, X, Y ) ],
% 0.87/1.22 [ 'equal_distance'( distance( X, Y ), distance( Y, X ) ) ],
% 0.87/1.22 [ ~( 'equal_distance'( distance( X, Y ), distance( Z, T ) ) ), ~(
% 0.87/1.22 'equal_distance'( distance( X, Y ), distance( U, W ) ) ),
% 0.87/1.22 'equal_distance'( distance( Z, T ), distance( U, W ) ) ],
% 0.87/1.22 [ ~( 'equal_distance'( distance( X, Y ), distance( Z, Z ) ) ), =( X, Y )
% 0.87/1.22 ],
% 0.87/1.22 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.87/1.22 [ 'equal_distance'( distance( X, extension( Y, X, Z, T ) ), distance( Z
% 0.87/1.22 , T ) ) ],
% 0.87/1.22 [ ~( 'equal_distance'( distance( X, Y ), distance( Z, T ) ) ), ~(
% 0.87/1.22 'equal_distance'( distance( Y, U ), distance( T, W ) ) ), ~(
% 0.87/1.22 'equal_distance'( distance( X, V0 ), distance( Z, V1 ) ) ), ~(
% 0.87/1.22 'equal_distance'( distance( Y, V0 ), distance( T, V1 ) ) ), ~( between( X
% 0.87/1.22 , Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), 'equal_distance'(
% 0.87/1.22 distance( U, V0 ), distance( W, V1 ) ) ],
% 0.87/1.22 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.87/1.22 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 0.87/1.22 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.87/1.22 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 0.87/1.22 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.87/1.22 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.87/1.22 'lower_dimension_point_3' ) ) ],
% 0.87/1.22 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.87/1.22 'lower_dimension_point_1' ) ) ],
% 0.87/1.22 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.87/1.22 'lower_dimension_point_2' ) ) ],
% 0.87/1.22 [ colinear( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.87/1.22 'lower_dimension_point_3' ) ]
% 0.87/1.22 ] .
% 0.87/1.22
% 0.87/1.22
% 0.87/1.22 percentage equality = 0.078947, percentage horn = 0.882353
% 0.87/1.22 This is a problem with some equality
% 0.87/1.22
% 0.87/1.22
% 0.87/1.22
% 0.87/1.22 Options Used:
% 0.87/1.22
% 0.87/1.22 useres = 1
% 0.87/1.22 useparamod = 1
% 0.87/1.22 useeqrefl = 1
% 0.87/1.22 useeqfact = 1
% 0.87/1.22 usefactor = 1
% 0.87/1.22 usesimpsplitting = 0
% 0.87/1.22 usesimpdemod = 5
% 0.87/1.22 usesimpres = 3
% 0.87/1.22
% 0.87/1.22 resimpinuse = 1000
% 0.87/1.22 resimpclauses = 20000
% 0.87/1.22 substype = eqrewr
% 0.87/1.22 backwardsubs = 1
% 0.87/1.22 selectoldest = 5
% 0.87/1.22
% 0.87/1.22 litorderings [0] = split
% 0.87/1.22 litorderings [1] = extend the termordering, first sorting on arguments
% 0.87/1.22
% 0.87/1.22 termordering = kbo
% 0.87/1.22
% 0.87/1.22 litapriori = 0
% 0.87/1.22 termapriori = 1
% 0.87/1.22 litaposteriori = 0
% 0.87/1.22 termaposteriori = 0
% 0.87/1.22 demodaposteriori = 0
% 0.87/1.22 ordereqreflfact = 0
% 0.87/1.22
% 0.87/1.22 litselect = negord
% 0.87/1.22
% 0.87/1.22 maxweight = 15
% 0.87/1.22 maxdepth = 30000
% 0.87/1.22 maxlength = 115
% 0.87/1.22 maxnrvars = 195
% 0.87/1.22 excuselevel = 1
% 0.87/1.22 increasemaxweight = 1
% 0.87/1.22
% 0.87/1.22 maxselected = 10000000
% 0.87/1.22 maxnrclauses = 10000000
% 0.87/1.22
% 0.87/1.22 showgenerated = 0
% 0.87/1.22 showkept = 0
% 0.87/1.22 showselected = 0
% 0.87/1.22 showdeleted = 0
% 0.87/1.22 showresimp = 1
% 0.87/1.22 showstatus = 2000
% 0.87/1.22
% 0.87/1.22 prologoutput = 1
% 0.87/1.22 nrgoals = 5000000
% 0.87/1.22 totalproof = 1
% 0.87/1.22
% 0.87/1.22 Symbols occurring in the translation:
% 0.87/1.22
% 0.87/1.22 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.22 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 0.87/1.22 ! [4, 1] (w:0, o:23, a:1, s:1, b:0),
% 0.87/1.22 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.22 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.22 between [42, 3] (w:1, o:55, a:1, s:1, b:0),
% 0.87/1.22 colinear [43, 3] (w:1, o:56, a:1, s:1, b:0),
% 0.87/1.22 distance [44, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.87/1.22 'equal_distance' [45, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.87/1.22 extension [49, 4] (w:1, o:57, a:1, s:1, b:0),
% 0.87/1.22 'inner_pasch' [55, 5] (w:1, o:58, a:1, s:1, b:0),
% 0.87/1.22 'lower_dimension_point_1' [56, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.87/1.22 'lower_dimension_point_2' [57, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.87/1.22 'lower_dimension_point_3' [58, 0] (w:1, o:22, a:1, s:1, b:0).
% 0.87/1.22
% 0.87/1.22
% 0.87/1.22 Starting Search:
% 0.87/1.22
% 0.87/1.22
% 0.87/1.22 Bliksems!, er is een bewijs:
% 0.87/1.22 % SZS status Unsatisfiable
% 0.87/1.22 % SZS output start Refutation
% 0.87/1.22
% 0.87/1.22 clause( 3, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z, X
% 0.87/1.22 ), between( Z, X, Y ) ] )
% 0.87/1.23 .
% 0.87/1.23 clause( 13, [ ~( between( 'lower_dimension_point_1',
% 0.87/1.23 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.87/1.23 .
% 0.87/1.23 clause( 14, [ ~( between( 'lower_dimension_point_2',
% 0.87/1.23 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.87/1.23 .
% 0.87/1.23 clause( 15, [ ~( between( 'lower_dimension_point_3',
% 0.87/1.23 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.87/1.23 .
% 0.87/1.23 clause( 16, [ colinear( 'lower_dimension_point_1',
% 0.87/1.23 'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 0.87/1.23 .
% 0.87/1.23 clause( 69, [ between( 'lower_dimension_point_2', 'lower_dimension_point_3'
% 0.87/1.23 , 'lower_dimension_point_1' ), between( 'lower_dimension_point_3',
% 0.87/1.23 'lower_dimension_point_1', 'lower_dimension_point_2' ) ] )
% 0.87/1.23 .
% 0.87/1.23 clause( 882, [] )
% 0.87/1.23 .
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 % SZS output end Refutation
% 0.87/1.23 found a proof!
% 0.87/1.23
% 0.87/1.23 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.87/1.23
% 0.87/1.23 initialclauses(
% 0.87/1.23 [ clause( 884, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 0.87/1.23 , clause( 885, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 0.87/1.23 , clause( 886, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 0.87/1.23 , clause( 887, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y,
% 0.87/1.23 Z, X ), between( Z, X, Y ) ] )
% 0.87/1.23 , clause( 888, [ 'equal_distance'( distance( X, Y ), distance( Y, X ) ) ]
% 0.87/1.23 )
% 0.87/1.23 , clause( 889, [ ~( 'equal_distance'( distance( X, Y ), distance( Z, T ) )
% 0.87/1.23 ), ~( 'equal_distance'( distance( X, Y ), distance( U, W ) ) ),
% 0.87/1.23 'equal_distance'( distance( Z, T ), distance( U, W ) ) ] )
% 0.87/1.23 , clause( 890, [ ~( 'equal_distance'( distance( X, Y ), distance( Z, Z ) )
% 0.87/1.23 ), =( X, Y ) ] )
% 0.87/1.23 , clause( 891, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.87/1.23 , clause( 892, [ 'equal_distance'( distance( X, extension( Y, X, Z, T ) ),
% 0.87/1.23 distance( Z, T ) ) ] )
% 0.87/1.23 , clause( 893, [ ~( 'equal_distance'( distance( X, Y ), distance( Z, T ) )
% 0.87/1.23 ), ~( 'equal_distance'( distance( Y, U ), distance( T, W ) ) ), ~(
% 0.87/1.23 'equal_distance'( distance( X, V0 ), distance( Z, V1 ) ) ), ~(
% 0.87/1.23 'equal_distance'( distance( Y, V0 ), distance( T, V1 ) ) ), ~( between( X
% 0.87/1.23 , Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), 'equal_distance'(
% 0.87/1.23 distance( U, V0 ), distance( W, V1 ) ) ] )
% 0.87/1.23 , clause( 894, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.87/1.23 , clause( 895, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.87/1.23 Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 0.87/1.23 , clause( 896, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.87/1.23 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 0.87/1.23 , clause( 897, [ ~( between( 'lower_dimension_point_1',
% 0.87/1.23 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.87/1.23 , clause( 898, [ ~( between( 'lower_dimension_point_2',
% 0.87/1.23 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.87/1.23 , clause( 899, [ ~( between( 'lower_dimension_point_3',
% 0.87/1.23 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.87/1.23 , clause( 900, [ colinear( 'lower_dimension_point_1',
% 0.87/1.23 'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 0.87/1.23 ] ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 subsumption(
% 0.87/1.23 clause( 3, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z, X
% 0.87/1.23 ), between( Z, X, Y ) ] )
% 0.87/1.23 , clause( 887, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y,
% 0.87/1.23 Z, X ), between( Z, X, Y ) ] )
% 0.87/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.23 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.87/1.23 ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 subsumption(
% 0.87/1.23 clause( 13, [ ~( between( 'lower_dimension_point_1',
% 0.87/1.23 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.87/1.23 , clause( 897, [ ~( between( 'lower_dimension_point_1',
% 0.87/1.23 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.87/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 subsumption(
% 0.87/1.23 clause( 14, [ ~( between( 'lower_dimension_point_2',
% 0.87/1.23 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.87/1.23 , clause( 898, [ ~( between( 'lower_dimension_point_2',
% 0.87/1.23 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.87/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 subsumption(
% 0.87/1.23 clause( 15, [ ~( between( 'lower_dimension_point_3',
% 0.87/1.23 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.87/1.23 , clause( 899, [ ~( between( 'lower_dimension_point_3',
% 0.87/1.23 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.87/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 subsumption(
% 0.87/1.23 clause( 16, [ colinear( 'lower_dimension_point_1',
% 0.87/1.23 'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 0.87/1.23 , clause( 900, [ colinear( 'lower_dimension_point_1',
% 0.87/1.23 'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 0.87/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 resolution(
% 0.87/1.23 clause( 1047, [ ~( colinear( 'lower_dimension_point_1',
% 0.87/1.23 'lower_dimension_point_2', 'lower_dimension_point_3' ) ), between(
% 0.87/1.23 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.87/1.23 'lower_dimension_point_1' ), between( 'lower_dimension_point_3',
% 0.87/1.23 'lower_dimension_point_1', 'lower_dimension_point_2' ) ] )
% 0.87/1.23 , clause( 13, [ ~( between( 'lower_dimension_point_1',
% 0.87/1.23 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.87/1.23 , 0, clause( 3, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 0.87/1.23 , Z, X ), between( Z, X, Y ) ] )
% 0.87/1.23 , 1, substitution( 0, [] ), substitution( 1, [ :=( X,
% 0.87/1.23 'lower_dimension_point_1' ), :=( Y, 'lower_dimension_point_2' ), :=( Z,
% 0.87/1.23 'lower_dimension_point_3' )] )).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 resolution(
% 0.87/1.23 clause( 1050, [ between( 'lower_dimension_point_2',
% 0.87/1.23 'lower_dimension_point_3', 'lower_dimension_point_1' ), between(
% 0.87/1.23 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.87/1.23 'lower_dimension_point_2' ) ] )
% 0.87/1.23 , clause( 1047, [ ~( colinear( 'lower_dimension_point_1',
% 0.87/1.23 'lower_dimension_point_2', 'lower_dimension_point_3' ) ), between(
% 0.87/1.23 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.87/1.23 'lower_dimension_point_1' ), between( 'lower_dimension_point_3',
% 0.87/1.23 'lower_dimension_point_1', 'lower_dimension_point_2' ) ] )
% 0.87/1.23 , 0, clause( 16, [ colinear( 'lower_dimension_point_1',
% 0.87/1.23 'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 0.87/1.23 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 subsumption(
% 0.87/1.23 clause( 69, [ between( 'lower_dimension_point_2', 'lower_dimension_point_3'
% 0.87/1.23 , 'lower_dimension_point_1' ), between( 'lower_dimension_point_3',
% 0.87/1.23 'lower_dimension_point_1', 'lower_dimension_point_2' ) ] )
% 0.87/1.23 , clause( 1050, [ between( 'lower_dimension_point_2',
% 0.87/1.23 'lower_dimension_point_3', 'lower_dimension_point_1' ), between(
% 0.87/1.23 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.87/1.23 'lower_dimension_point_2' ) ] )
% 0.87/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.87/1.23 ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 resolution(
% 0.87/1.23 clause( 1051, [ between( 'lower_dimension_point_3',
% 0.87/1.23 'lower_dimension_point_1', 'lower_dimension_point_2' ) ] )
% 0.87/1.23 , clause( 14, [ ~( between( 'lower_dimension_point_2',
% 0.87/1.23 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.87/1.23 , 0, clause( 69, [ between( 'lower_dimension_point_2',
% 0.87/1.23 'lower_dimension_point_3', 'lower_dimension_point_1' ), between(
% 0.87/1.23 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.87/1.23 'lower_dimension_point_2' ) ] )
% 0.87/1.23 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 resolution(
% 0.87/1.23 clause( 1052, [] )
% 0.87/1.23 , clause( 15, [ ~( between( 'lower_dimension_point_3',
% 0.87/1.23 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.87/1.23 , 0, clause( 1051, [ between( 'lower_dimension_point_3',
% 0.87/1.23 'lower_dimension_point_1', 'lower_dimension_point_2' ) ] )
% 0.87/1.23 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 subsumption(
% 0.87/1.23 clause( 882, [] )
% 0.87/1.23 , clause( 1052, [] )
% 0.87/1.23 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 end.
% 0.87/1.23
% 0.87/1.23 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.87/1.23
% 0.87/1.23 Memory use:
% 0.87/1.23
% 0.87/1.23 space for terms: 21655
% 0.87/1.23 space for clauses: 39794
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 clauses generated: 4181
% 0.87/1.23 clauses kept: 883
% 0.87/1.23 clauses selected: 79
% 0.87/1.23 clauses deleted: 24
% 0.87/1.23 clauses inuse deleted: 0
% 0.87/1.23
% 0.87/1.23 subsentry: 17625
% 0.87/1.23 literals s-matched: 15036
% 0.87/1.23 literals matched: 12696
% 0.87/1.23 full subsumption: 10892
% 0.87/1.23
% 0.87/1.23 checksum: 1615975076
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 Bliksem ended
%------------------------------------------------------------------------------