TSTP Solution File: GEO020-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO020-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.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 02:50:55 EDT 2022
% Result : Unsatisfiable 0.87s 1.23s
% Output : Refutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO020-3 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : bliksem %s
% 0.15/0.36 % Computer : n006.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Sat Jun 18 14:42:10 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.87/1.23 *** allocated 10000 integers for termspace/termends
% 0.87/1.23 *** allocated 10000 integers for clauses
% 0.87/1.23 *** allocated 10000 integers for justifications
% 0.87/1.23 Bliksem 1.12
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 Automatic Strategy Selection
% 0.87/1.23
% 0.87/1.23 Clauses:
% 0.87/1.23 [
% 0.87/1.23 [ equidistant( X, Y, Y, X ) ],
% 0.87/1.23 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 0.87/1.23 equidistant( Z, T, U, W ) ],
% 0.87/1.23 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.87/1.23 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.87/1.23 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.87/1.23 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.87/1.23 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 0.87/1.23 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.87/1.23 , V0, W, V1 ) ],
% 0.87/1.23 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.87/1.23 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 0.87/1.23 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.87/1.23 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 0.87/1.23 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.87/1.23 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.87/1.23 'lower_dimension_point_3' ) ) ],
% 0.87/1.23 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.87/1.23 'lower_dimension_point_1' ) ) ],
% 0.87/1.23 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.87/1.23 'lower_dimension_point_2' ) ) ],
% 0.87/1.23 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 0.87/1.23 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 0.87/1.23 between( U, X, T ), =( Y, Z ) ],
% 0.87/1.23 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.87/1.23 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.87/1.23 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.87/1.23 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.87/1.23 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.87/1.23 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.87/1.23 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.87/1.23 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.87/1.23 , Y, Z, W, T, U ), U ) ],
% 0.87/1.23 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.87/1.23 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 0.87/1.23 continuous( X, Y, Z, W, T, U ) ) ],
% 0.87/1.23 [ equidistant( X, Y, X, Y ) ],
% 0.87/1.23 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ],
% 0.87/1.23 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ],
% 0.87/1.23 [ equidistant( u, v, w, x ) ],
% 0.87/1.23 [ ~( equidistant( x, w, u, v ) ) ]
% 0.87/1.23 ] .
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 percentage equality = 0.111111, percentage horn = 0.782609
% 0.87/1.23 This is a problem with some equality
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 Options Used:
% 0.87/1.23
% 0.87/1.23 useres = 1
% 0.87/1.23 useparamod = 1
% 0.87/1.23 useeqrefl = 1
% 0.87/1.23 useeqfact = 1
% 0.87/1.23 usefactor = 1
% 0.87/1.23 usesimpsplitting = 0
% 0.87/1.23 usesimpdemod = 5
% 0.87/1.23 usesimpres = 3
% 0.87/1.23
% 0.87/1.23 resimpinuse = 1000
% 0.87/1.23 resimpclauses = 20000
% 0.87/1.23 substype = eqrewr
% 0.87/1.23 backwardsubs = 1
% 0.87/1.23 selectoldest = 5
% 0.87/1.23
% 0.87/1.23 litorderings [0] = split
% 0.87/1.23 litorderings [1] = extend the termordering, first sorting on arguments
% 0.87/1.23
% 0.87/1.23 termordering = kbo
% 0.87/1.23
% 0.87/1.23 litapriori = 0
% 0.87/1.23 termapriori = 1
% 0.87/1.23 litaposteriori = 0
% 0.87/1.23 termaposteriori = 0
% 0.87/1.23 demodaposteriori = 0
% 0.87/1.23 ordereqreflfact = 0
% 0.87/1.23
% 0.87/1.23 litselect = negord
% 0.87/1.23
% 0.87/1.23 maxweight = 15
% 0.87/1.23 maxdepth = 30000
% 0.87/1.23 maxlength = 115
% 0.87/1.23 maxnrvars = 195
% 0.87/1.23 excuselevel = 1
% 0.87/1.23 increasemaxweight = 1
% 0.87/1.23
% 0.87/1.23 maxselected = 10000000
% 0.87/1.23 maxnrclauses = 10000000
% 0.87/1.23
% 0.87/1.23 showgenerated = 0
% 0.87/1.23 showkept = 0
% 0.87/1.23 showselected = 0
% 0.87/1.23 showdeleted = 0
% 0.87/1.23 showresimp = 1
% 0.87/1.23 showstatus = 2000
% 0.87/1.23
% 0.87/1.23 prologoutput = 1
% 0.87/1.23 nrgoals = 5000000
% 0.87/1.23 totalproof = 1
% 0.87/1.23
% 0.87/1.23 Symbols occurring in the translation:
% 0.87/1.23
% 0.87/1.23 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.23 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 0.87/1.23 ! [4, 1] (w:0, o:27, a:1, s:1, b:0),
% 0.87/1.23 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.23 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.23 equidistant [41, 4] (w:1, o:58, a:1, s:1, b:0),
% 0.87/1.23 extension [46, 4] (w:1, o:59, a:1, s:1, b:0),
% 0.87/1.23 between [47, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.87/1.23 'inner_pasch' [53, 5] (w:1, o:60, a:1, s:1, b:0),
% 0.87/1.23 'lower_dimension_point_1' [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.87/1.23 'lower_dimension_point_2' [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.87/1.23 'lower_dimension_point_3' [56, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.87/1.23 euclid1 [57, 5] (w:1, o:61, a:1, s:1, b:0),
% 0.87/1.23 euclid2 [58, 5] (w:1, o:62, a:1, s:1, b:0),
% 0.87/1.23 continuous [59, 6] (w:1, o:63, a:1, s:1, b:0),
% 0.87/1.23 u [60, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.87/1.23 v [61, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.87/1.23 w [62, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.87/1.23 x [63, 0] (w:1, o:26, a:1, s:1, b:0).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 Starting Search:
% 0.87/1.23
% 0.87/1.23 Resimplifying inuse:
% 0.87/1.23 Done
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 Bliksems!, er is een bewijs:
% 0.87/1.23 % SZS status Unsatisfiable
% 0.87/1.23 % SZS output start Refutation
% 0.87/1.23
% 0.87/1.23 clause( 19, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ]
% 0.87/1.23 )
% 0.87/1.23 .
% 0.87/1.23 clause( 20, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ]
% 0.87/1.23 )
% 0.87/1.23 .
% 0.87/1.23 clause( 21, [ equidistant( u, v, w, x ) ] )
% 0.87/1.23 .
% 0.87/1.23 clause( 22, [ ~( equidistant( x, w, u, v ) ) ] )
% 0.87/1.23 .
% 0.87/1.23 clause( 985, [ equidistant( w, x, u, v ) ] )
% 0.87/1.23 .
% 0.87/1.23 clause( 1035, [] )
% 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( 1037, [ equidistant( X, Y, Y, X ) ] )
% 0.87/1.23 , clause( 1038, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 0.87/1.23 W ) ), equidistant( Z, T, U, W ) ] )
% 0.87/1.23 , clause( 1039, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.87/1.23 , clause( 1040, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.87/1.23 , clause( 1041, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.87/1.23 , clause( 1042, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T,
% 0.87/1.23 W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) )
% 0.87/1.23 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 0.87/1.23 equidistant( U, V0, W, V1 ) ] )
% 0.87/1.23 , clause( 1043, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.87/1.23 , clause( 1044, [ ~( 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( 1045, [ ~( 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( 1046, [ ~( between( 'lower_dimension_point_1',
% 0.87/1.23 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.87/1.23 , clause( 1047, [ ~( between( 'lower_dimension_point_2',
% 0.87/1.23 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.87/1.23 , clause( 1048, [ ~( between( 'lower_dimension_point_3',
% 0.87/1.23 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.87/1.23 , clause( 1049, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T,
% 0.87/1.23 Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U
% 0.87/1.23 , X ), between( U, X, T ), =( Y, Z ) ] )
% 0.87/1.23 , clause( 1050, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.87/1.23 ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 0.87/1.23 , clause( 1051, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.87/1.23 ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 0.87/1.23 , clause( 1052, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.87/1.23 ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ] )
% 0.87/1.23 , clause( 1053, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 0.87/1.23 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 0.87/1.23 continuous( X, Y, Z, W, T, U ), U ) ] )
% 0.87/1.23 , clause( 1054, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 0.87/1.23 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X,
% 0.87/1.23 W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 0.87/1.23 , clause( 1055, [ equidistant( X, Y, X, Y ) ] )
% 0.87/1.23 , clause( 1056, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y )
% 0.87/1.23 ] )
% 0.87/1.23 , clause( 1057, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T )
% 0.87/1.23 ] )
% 0.87/1.23 , clause( 1058, [ equidistant( u, v, w, x ) ] )
% 0.87/1.23 , clause( 1059, [ ~( equidistant( x, w, u, v ) ) ] )
% 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( 19, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ]
% 0.87/1.23 )
% 0.87/1.23 , clause( 1056, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y )
% 0.87/1.23 ] )
% 0.87/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.87/1.23 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.87/1.23
% 0.87/1.23
% 0.87/1.23 subsumption(
% 0.87/1.23 clause( 20, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ]
% 0.87/1.23 )
% 0.87/1.23 , clause( 1057, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T )
% 0.87/1.23 ] )
% 0.88/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.88/1.23 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.88/1.23
% 0.88/1.23
% 0.88/1.23 subsumption(
% 0.88/1.23 clause( 21, [ equidistant( u, v, w, x ) ] )
% 0.88/1.23 , clause( 1058, [ equidistant( u, v, w, x ) ] )
% 0.88/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.23
% 0.88/1.23
% 0.88/1.23 subsumption(
% 0.88/1.23 clause( 22, [ ~( equidistant( x, w, u, v ) ) ] )
% 0.88/1.23 , clause( 1059, [ ~( equidistant( x, w, u, v ) ) ] )
% 0.88/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.23
% 0.88/1.23
% 0.88/1.23 resolution(
% 0.88/1.23 clause( 1292, [ equidistant( w, x, u, v ) ] )
% 0.88/1.23 , clause( 19, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ]
% 0.88/1.23 )
% 0.88/1.23 , 0, clause( 21, [ equidistant( u, v, w, x ) ] )
% 0.88/1.23 , 0, substitution( 0, [ :=( X, u ), :=( Y, v ), :=( Z, w ), :=( T, x )] ),
% 0.88/1.23 substitution( 1, [] )).
% 0.88/1.23
% 0.88/1.23
% 0.88/1.23 subsumption(
% 0.88/1.23 clause( 985, [ equidistant( w, x, u, v ) ] )
% 0.88/1.23 , clause( 1292, [ equidistant( w, x, u, v ) ] )
% 0.88/1.23 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.88/1.23
% 0.88/1.23
% 0.88/1.23 resolution(
% 0.88/1.23 clause( 1293, [ ~( equidistant( w, x, u, v ) ) ] )
% 0.88/1.23 , clause( 22, [ ~( equidistant( x, w, u, v ) ) ] )
% 0.88/1.23 , 0, clause( 20, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T
% 0.88/1.23 ) ] )
% 0.88/1.23 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, w ), :=( Y, x ), :=(
% 0.88/1.23 Z, u ), :=( T, v )] )).
% 0.88/1.23
% 0.88/1.23
% 0.88/1.23 resolution(
% 0.88/1.23 clause( 1294, [] )
% 0.88/1.23 , clause( 1293, [ ~( equidistant( w, x, u, v ) ) ] )
% 0.88/1.23 , 0, clause( 985, [ equidistant( w, x, u, v ) ] )
% 0.88/1.23 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.88/1.23
% 0.88/1.23
% 0.88/1.23 subsumption(
% 0.88/1.23 clause( 1035, [] )
% 0.88/1.23 , clause( 1294, [] )
% 0.88/1.23 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.88/1.23
% 0.88/1.23
% 0.88/1.23 end.
% 0.88/1.23
% 0.88/1.23 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.88/1.23
% 0.88/1.23 Memory use:
% 0.88/1.23
% 0.88/1.23 space for terms: 30121
% 0.88/1.23 space for clauses: 52761
% 0.88/1.23
% 0.88/1.23
% 0.88/1.23 clauses generated: 5743
% 0.88/1.23 clauses kept: 1036
% 0.88/1.23 clauses selected: 71
% 0.88/1.23 clauses deleted: 0
% 0.88/1.23 clauses inuse deleted: 0
% 0.88/1.23
% 0.88/1.23 subsentry: 14957
% 0.88/1.23 literals s-matched: 11564
% 0.88/1.23 literals matched: 9756
% 0.88/1.23 full subsumption: 8226
% 0.88/1.23
% 0.88/1.23 checksum: -1250136861
% 0.88/1.23
% 0.88/1.23
% 0.88/1.23 Bliksem ended
%------------------------------------------------------------------------------