TSTP Solution File: GEO038-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO038-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 0.71s 1.08s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO038-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n015.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 : Fri Jun 17 23:50:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.71/1.08 *** allocated 10000 integers for termspace/termends
% 0.71/1.08 *** allocated 10000 integers for clauses
% 0.71/1.08 *** allocated 10000 integers for justifications
% 0.71/1.08 Bliksem 1.12
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Automatic Strategy Selection
% 0.71/1.08
% 0.71/1.08 Clauses:
% 0.71/1.08 [
% 0.71/1.08 [ equidistant( X, Y, Y, X ) ],
% 0.71/1.08 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 0.71/1.08 equidistant( Z, T, U, W ) ],
% 0.71/1.08 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.71/1.08 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.71/1.08 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.71/1.08 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.71/1.08 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 0.71/1.08 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.71/1.08 , V0, W, V1 ) ],
% 0.71/1.08 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.71/1.08 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 0.71/1.08 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.71/1.08 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 0.71/1.08 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.71/1.08 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.71/1.08 'lower_dimension_point_3' ) ) ],
% 0.71/1.08 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.71/1.08 'lower_dimension_point_1' ) ) ],
% 0.71/1.08 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.71/1.08 'lower_dimension_point_2' ) ) ],
% 0.71/1.08 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 0.71/1.08 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 0.71/1.08 between( U, X, T ), =( Y, Z ) ],
% 0.71/1.08 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.71/1.08 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.71/1.08 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.71/1.08 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.71/1.08 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.71/1.08 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.71/1.08 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.71/1.08 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.71/1.08 , Y, Z, W, T, U ), U ) ],
% 0.71/1.08 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.71/1.08 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 0.71/1.08 continuous( X, Y, Z, W, T, U ) ) ],
% 0.71/1.08 [ equidistant( X, Y, X, Y ) ],
% 0.71/1.08 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ],
% 0.71/1.08 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ],
% 0.71/1.08 [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z ) ],
% 0.71/1.08 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z ) ],
% 0.71/1.08 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X ) ],
% 0.71/1.08 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y ) ],
% 0.71/1.08 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X ) ],
% 0.71/1.08 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U, W ) ),
% 0.71/1.08 equidistant( X, Y, U, W ) ],
% 0.71/1.08 [ =( X, extension( Y, X, Z, Z ) ) ],
% 0.71/1.08 [ =( y, extension( u, v, w, x ) ) ],
% 0.71/1.08 [ ~( between( u, v, y ) ) ]
% 0.71/1.08 ] .
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 percentage equality = 0.116883, percentage horn = 0.833333
% 0.71/1.08 This is a problem with some equality
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Options Used:
% 0.71/1.08
% 0.71/1.08 useres = 1
% 0.71/1.08 useparamod = 1
% 0.71/1.08 useeqrefl = 1
% 0.71/1.08 useeqfact = 1
% 0.71/1.08 usefactor = 1
% 0.71/1.08 usesimpsplitting = 0
% 0.71/1.08 usesimpdemod = 5
% 0.71/1.08 usesimpres = 3
% 0.71/1.08
% 0.71/1.08 resimpinuse = 1000
% 0.71/1.08 resimpclauses = 20000
% 0.71/1.08 substype = eqrewr
% 0.71/1.08 backwardsubs = 1
% 0.71/1.08 selectoldest = 5
% 0.71/1.08
% 0.71/1.08 litorderings [0] = split
% 0.71/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.08
% 0.71/1.08 termordering = kbo
% 0.71/1.08
% 0.71/1.08 litapriori = 0
% 0.71/1.08 termapriori = 1
% 0.71/1.08 litaposteriori = 0
% 0.71/1.08 termaposteriori = 0
% 0.71/1.08 demodaposteriori = 0
% 0.71/1.08 ordereqreflfact = 0
% 0.71/1.08
% 0.71/1.08 litselect = negord
% 0.71/1.08
% 0.71/1.08 maxweight = 15
% 0.71/1.08 maxdepth = 30000
% 0.71/1.08 maxlength = 115
% 0.71/1.08 maxnrvars = 195
% 0.71/1.08 excuselevel = 1
% 0.71/1.08 increasemaxweight = 1
% 0.71/1.08
% 0.71/1.08 maxselected = 10000000
% 0.71/1.08 maxnrclauses = 10000000
% 0.71/1.08
% 0.71/1.08 showgenerated = 0
% 0.71/1.08 showkept = 0
% 0.71/1.08 showselected = 0
% 0.71/1.08 showdeleted = 0
% 0.71/1.08 showresimp = 1
% 0.71/1.08 showstatus = 2000
% 0.71/1.08
% 0.71/1.08 prologoutput = 1
% 0.71/1.08 nrgoals = 5000000
% 0.71/1.08 totalproof = 1
% 0.71/1.08
% 0.71/1.08 Symbols occurring in the translation:
% 0.71/1.08
% 0.71/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.08 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 0.71/1.08 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 0.71/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.08 equidistant [41, 4] (w:1, o:59, a:1, s:1, b:0),
% 0.71/1.08 extension [46, 4] (w:1, o:60, a:1, s:1, b:0),
% 0.71/1.08 between [47, 3] (w:1, o:58, a:1, s:1, b:0),
% 0.71/1.08 'inner_pasch' [53, 5] (w:1, o:61, a:1, s:1, b:0),
% 0.71/1.08 'lower_dimension_point_1' [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.71/1.08 'lower_dimension_point_2' [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.71/1.08 'lower_dimension_point_3' [56, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.71/1.08 euclid1 [57, 5] (w:1, o:62, a:1, s:1, b:0),
% 0.71/1.08 euclid2 [58, 5] (w:1, o:63, a:1, s:1, b:0),
% 0.71/1.08 continuous [59, 6] (w:1, o:64, a:1, s:1, b:0),
% 0.71/1.08 y [60, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.71/1.08 u [61, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.71/1.08 v [62, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.71/1.08 w [63, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.71/1.08 x [64, 0] (w:1, o:23, a:1, s:1, b:0).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Starting Search:
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Bliksems!, er is een bewijs:
% 0.71/1.08 % SZS status Unsatisfiable
% 0.71/1.08 % SZS output start Refutation
% 0.71/1.08
% 0.71/1.08 clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 28, [ =( extension( u, v, w, x ), y ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 29, [ ~( between( u, v, y ) ) ] )
% 0.71/1.08 .
% 0.71/1.08 clause( 168, [] )
% 0.71/1.08 .
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 % SZS output end Refutation
% 0.71/1.08 found a proof!
% 0.71/1.08
% 0.71/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.08
% 0.71/1.08 initialclauses(
% 0.71/1.08 [ clause( 170, [ equidistant( X, Y, Y, X ) ] )
% 0.71/1.08 , clause( 171, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W
% 0.71/1.08 ) ), equidistant( Z, T, U, W ) ] )
% 0.71/1.08 , clause( 172, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.71/1.08 , clause( 173, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.71/1.08 , clause( 174, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.71/1.08 , clause( 175, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W
% 0.71/1.08 ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) )
% 0.71/1.08 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 0.71/1.08 equidistant( U, V0, W, V1 ) ] )
% 0.71/1.08 , clause( 176, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.71/1.08 , clause( 177, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.71/1.08 Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 0.71/1.08 , clause( 178, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.71/1.08 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 0.71/1.08 , clause( 179, [ ~( between( 'lower_dimension_point_1',
% 0.71/1.08 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.71/1.08 , clause( 180, [ ~( between( 'lower_dimension_point_2',
% 0.71/1.08 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.71/1.08 , clause( 181, [ ~( between( 'lower_dimension_point_3',
% 0.71/1.08 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.71/1.08 , clause( 182, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z
% 0.71/1.08 ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U,
% 0.71/1.08 X ), between( U, X, T ), =( Y, Z ) ] )
% 0.71/1.08 , clause( 183, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.71/1.08 ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 0.71/1.08 , clause( 184, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.71/1.08 ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 0.71/1.08 , clause( 185, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.71/1.08 ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ] )
% 0.71/1.08 , clause( 186, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U
% 0.71/1.08 ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 0.71/1.08 continuous( X, Y, Z, W, T, U ), U ) ] )
% 0.71/1.08 , clause( 187, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U
% 0.71/1.08 ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W
% 0.71/1.08 , X, continuous( X, Y, Z, W, T, U ) ) ] )
% 0.71/1.08 , clause( 188, [ equidistant( X, Y, X, Y ) ] )
% 0.71/1.08 , clause( 189, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y )
% 0.71/1.08 ] )
% 0.71/1.08 , clause( 190, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T )
% 0.71/1.08 ] )
% 0.71/1.08 , clause( 191, [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z )
% 0.71/1.08 ] )
% 0.71/1.08 , clause( 192, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z )
% 0.71/1.08 ] )
% 0.71/1.08 , clause( 193, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X )
% 0.71/1.08 ] )
% 0.71/1.08 , clause( 194, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y )
% 0.71/1.08 ] )
% 0.71/1.08 , clause( 195, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X )
% 0.71/1.08 ] )
% 0.71/1.08 , clause( 196, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U, W
% 0.71/1.08 ) ), equidistant( X, Y, U, W ) ] )
% 0.71/1.08 , clause( 197, [ =( X, extension( Y, X, Z, Z ) ) ] )
% 0.71/1.08 , clause( 198, [ =( y, extension( u, v, w, x ) ) ] )
% 0.71/1.08 , clause( 199, [ ~( between( u, v, y ) ) ] )
% 0.71/1.08 ] ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.71/1.08 , clause( 173, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.71/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.71/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 eqswap(
% 0.71/1.08 clause( 262, [ =( extension( u, v, w, x ), y ) ] )
% 0.71/1.08 , clause( 198, [ =( y, extension( u, v, w, x ) ) ] )
% 0.71/1.08 , 0, substitution( 0, [] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 28, [ =( extension( u, v, w, x ), y ) ] )
% 0.71/1.08 , clause( 262, [ =( extension( u, v, w, x ), y ) ] )
% 0.71/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 29, [ ~( between( u, v, y ) ) ] )
% 0.71/1.08 , clause( 199, [ ~( between( u, v, y ) ) ] )
% 0.71/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 paramod(
% 0.71/1.08 clause( 325, [ between( u, v, y ) ] )
% 0.71/1.08 , clause( 28, [ =( extension( u, v, w, x ), y ) ] )
% 0.71/1.08 , 0, clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.71/1.08 , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, u ), :=( Y, v ),
% 0.71/1.08 :=( Z, w ), :=( T, x )] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 resolution(
% 0.71/1.08 clause( 326, [] )
% 0.71/1.08 , clause( 29, [ ~( between( u, v, y ) ) ] )
% 0.71/1.08 , 0, clause( 325, [ between( u, v, y ) ] )
% 0.71/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 subsumption(
% 0.71/1.08 clause( 168, [] )
% 0.71/1.08 , clause( 326, [] )
% 0.71/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 end.
% 0.71/1.08
% 0.71/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.08
% 0.71/1.08 Memory use:
% 0.71/1.08
% 0.71/1.08 space for terms: 3431
% 0.71/1.08 space for clauses: 8648
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 clauses generated: 246
% 0.71/1.08 clauses kept: 169
% 0.71/1.08 clauses selected: 16
% 0.71/1.08 clauses deleted: 0
% 0.71/1.08 clauses inuse deleted: 0
% 0.71/1.08
% 0.71/1.08 subsentry: 1214
% 0.71/1.08 literals s-matched: 1016
% 0.71/1.08 literals matched: 705
% 0.71/1.08 full subsumption: 443
% 0.71/1.08
% 0.71/1.08 checksum: 784462939
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Bliksem ended
%------------------------------------------------------------------------------