TSTP Solution File: GEO038-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO038-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 02:51:04 EDT 2022
% Result : Unsatisfiable 0.70s 1.09s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO038-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jun 18 13:10:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.70/1.09 *** allocated 10000 integers for termspace/termends
% 0.70/1.09 *** allocated 10000 integers for clauses
% 0.70/1.09 *** allocated 10000 integers for justifications
% 0.70/1.09 Bliksem 1.12
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Automatic Strategy Selection
% 0.70/1.09
% 0.70/1.09 Clauses:
% 0.70/1.09 [
% 0.70/1.09 [ equidistant( X, Y, Y, X ) ],
% 0.70/1.09 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 0.70/1.09 equidistant( Z, T, U, W ) ],
% 0.70/1.09 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.70/1.09 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.70/1.09 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.70/1.09 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.70/1.09 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 0.70/1.09 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.70/1.09 , V0, W, V1 ) ],
% 0.70/1.09 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.70/1.09 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 0.70/1.09 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.70/1.09 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 0.70/1.09 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.70/1.09 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.70/1.09 'lower_dimension_point_3' ) ) ],
% 0.70/1.09 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.70/1.09 'lower_dimension_point_1' ) ) ],
% 0.70/1.09 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.70/1.09 'lower_dimension_point_2' ) ) ],
% 0.70/1.09 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 0.70/1.09 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 0.70/1.09 between( U, X, T ), =( Y, Z ) ],
% 0.70/1.09 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.70/1.09 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.70/1.09 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.70/1.09 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.70/1.09 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.70/1.09 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.70/1.09 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.70/1.09 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.70/1.09 , Y, Z, W, T, U ), U ) ],
% 0.70/1.09 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.70/1.09 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 0.70/1.09 continuous( X, Y, Z, W, T, U ) ) ],
% 0.70/1.09 [ =( y, extension( u, v, w, x ) ) ],
% 0.70/1.09 [ ~( between( u, v, y ) ) ]
% 0.70/1.09 ] .
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 percentage equality = 0.137931, percentage horn = 0.750000
% 0.70/1.09 This is a problem with some equality
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Options Used:
% 0.70/1.09
% 0.70/1.09 useres = 1
% 0.70/1.09 useparamod = 1
% 0.70/1.09 useeqrefl = 1
% 0.70/1.09 useeqfact = 1
% 0.70/1.09 usefactor = 1
% 0.70/1.09 usesimpsplitting = 0
% 0.70/1.09 usesimpdemod = 5
% 0.70/1.09 usesimpres = 3
% 0.70/1.09
% 0.70/1.09 resimpinuse = 1000
% 0.70/1.09 resimpclauses = 20000
% 0.70/1.09 substype = eqrewr
% 0.70/1.09 backwardsubs = 1
% 0.70/1.09 selectoldest = 5
% 0.70/1.09
% 0.70/1.09 litorderings [0] = split
% 0.70/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.70/1.09
% 0.70/1.09 termordering = kbo
% 0.70/1.09
% 0.70/1.09 litapriori = 0
% 0.70/1.09 termapriori = 1
% 0.70/1.09 litaposteriori = 0
% 0.70/1.09 termaposteriori = 0
% 0.70/1.09 demodaposteriori = 0
% 0.70/1.09 ordereqreflfact = 0
% 0.70/1.09
% 0.70/1.09 litselect = negord
% 0.70/1.09
% 0.70/1.09 maxweight = 15
% 0.70/1.09 maxdepth = 30000
% 0.70/1.09 maxlength = 115
% 0.70/1.09 maxnrvars = 195
% 0.70/1.09 excuselevel = 1
% 0.70/1.09 increasemaxweight = 1
% 0.70/1.09
% 0.70/1.09 maxselected = 10000000
% 0.70/1.09 maxnrclauses = 10000000
% 0.70/1.09
% 0.70/1.09 showgenerated = 0
% 0.70/1.09 showkept = 0
% 0.70/1.09 showselected = 0
% 0.70/1.09 showdeleted = 0
% 0.70/1.09 showresimp = 1
% 0.70/1.09 showstatus = 2000
% 0.70/1.09
% 0.70/1.09 prologoutput = 1
% 0.70/1.09 nrgoals = 5000000
% 0.70/1.09 totalproof = 1
% 0.70/1.09
% 0.70/1.09 Symbols occurring in the translation:
% 0.70/1.09
% 0.70/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.09 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 0.70/1.09 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 0.70/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.09 equidistant [41, 4] (w:1, o:59, a:1, s:1, b:0),
% 0.70/1.09 extension [46, 4] (w:1, o:60, a:1, s:1, b:0),
% 0.70/1.09 between [47, 3] (w:1, o:58, a:1, s:1, b:0),
% 0.70/1.09 'inner_pasch' [53, 5] (w:1, o:61, a:1, s:1, b:0),
% 0.70/1.09 'lower_dimension_point_1' [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.70/1.09 'lower_dimension_point_2' [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.70/1.09 'lower_dimension_point_3' [56, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.70/1.09 euclid1 [57, 5] (w:1, o:62, a:1, s:1, b:0),
% 0.70/1.09 euclid2 [58, 5] (w:1, o:63, a:1, s:1, b:0),
% 0.70/1.09 continuous [59, 6] (w:1, o:64, a:1, s:1, b:0),
% 0.70/1.09 y [60, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.70/1.09 u [61, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.70/1.09 v [62, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.70/1.09 w [63, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.70/1.09 x [64, 0] (w:1, o:23, a:1, s:1, b:0).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Starting Search:
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Bliksems!, er is een bewijs:
% 0.70/1.09 % SZS status Unsatisfiable
% 0.70/1.09 % SZS output start Refutation
% 0.70/1.09
% 0.70/1.09 clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 18, [ =( extension( u, v, w, x ), y ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 19, [ ~( between( u, v, y ) ) ] )
% 0.70/1.09 .
% 0.70/1.09 clause( 120, [] )
% 0.70/1.09 .
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 % SZS output end Refutation
% 0.70/1.09 found a proof!
% 0.70/1.09
% 0.70/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.09
% 0.70/1.09 initialclauses(
% 0.70/1.09 [ clause( 122, [ equidistant( X, Y, Y, X ) ] )
% 0.70/1.09 , clause( 123, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W
% 0.70/1.09 ) ), equidistant( Z, T, U, W ) ] )
% 0.70/1.09 , clause( 124, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.70/1.09 , clause( 125, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.70/1.09 , clause( 126, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.70/1.09 , clause( 127, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W
% 0.70/1.09 ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) )
% 0.70/1.09 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 0.70/1.09 equidistant( U, V0, W, V1 ) ] )
% 0.70/1.09 , clause( 128, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.70/1.09 , clause( 129, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.70/1.09 Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 0.70/1.09 , clause( 130, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.70/1.09 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 0.70/1.09 , clause( 131, [ ~( between( 'lower_dimension_point_1',
% 0.70/1.09 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.70/1.09 , clause( 132, [ ~( between( 'lower_dimension_point_2',
% 0.70/1.09 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.70/1.09 , clause( 133, [ ~( between( 'lower_dimension_point_3',
% 0.70/1.09 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.70/1.09 , clause( 134, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z
% 0.70/1.09 ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U,
% 0.70/1.09 X ), between( U, X, T ), =( Y, Z ) ] )
% 0.70/1.09 , clause( 135, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.70/1.09 ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 0.70/1.09 , clause( 136, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.70/1.09 ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 0.70/1.09 , clause( 137, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.70/1.09 ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ] )
% 0.70/1.09 , clause( 138, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U
% 0.70/1.09 ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 0.70/1.09 continuous( X, Y, Z, W, T, U ), U ) ] )
% 0.70/1.09 , clause( 139, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U
% 0.70/1.09 ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W
% 0.70/1.09 , X, continuous( X, Y, Z, W, T, U ) ) ] )
% 0.70/1.09 , clause( 140, [ =( y, extension( u, v, w, x ) ) ] )
% 0.70/1.09 , clause( 141, [ ~( between( u, v, y ) ) ] )
% 0.70/1.09 ] ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.70/1.09 , clause( 125, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.70/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.70/1.09 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 eqswap(
% 0.70/1.09 clause( 202, [ =( extension( u, v, w, x ), y ) ] )
% 0.70/1.09 , clause( 140, [ =( y, extension( u, v, w, x ) ) ] )
% 0.70/1.09 , 0, substitution( 0, [] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 18, [ =( extension( u, v, w, x ), y ) ] )
% 0.70/1.09 , clause( 202, [ =( extension( u, v, w, x ), y ) ] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 19, [ ~( between( u, v, y ) ) ] )
% 0.70/1.09 , clause( 141, [ ~( between( u, v, y ) ) ] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 paramod(
% 0.70/1.09 clause( 263, [ between( u, v, y ) ] )
% 0.70/1.09 , clause( 18, [ =( extension( u, v, w, x ), y ) ] )
% 0.70/1.09 , 0, clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.70/1.09 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, u ), :=( Y, v ),
% 0.70/1.09 :=( Z, w ), :=( T, x )] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 resolution(
% 0.70/1.09 clause( 264, [] )
% 0.70/1.09 , clause( 19, [ ~( between( u, v, y ) ) ] )
% 0.70/1.09 , 0, clause( 263, [ between( u, v, y ) ] )
% 0.70/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 subsumption(
% 0.70/1.09 clause( 120, [] )
% 0.70/1.09 , clause( 264, [] )
% 0.70/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 end.
% 0.70/1.09
% 0.70/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.09
% 0.70/1.09 Memory use:
% 0.70/1.09
% 0.70/1.09 space for terms: 2535
% 0.70/1.09 space for clauses: 6741
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 clauses generated: 174
% 0.70/1.09 clauses kept: 121
% 0.70/1.09 clauses selected: 11
% 0.70/1.09 clauses deleted: 0
% 0.70/1.09 clauses inuse deleted: 0
% 0.70/1.09
% 0.70/1.09 subsentry: 916
% 0.70/1.09 literals s-matched: 764
% 0.70/1.09 literals matched: 426
% 0.70/1.09 full subsumption: 283
% 0.70/1.09
% 0.70/1.09 checksum: -180874037
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Bliksem ended
%------------------------------------------------------------------------------