%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO054-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 0.83s 1.18s
% Output : Refutation 0.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO054-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n007.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 : Fri Jun 17 20:58:57 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.83/1.18 *** allocated 10000 integers for termspace/termends
% 0.83/1.18 *** allocated 10000 integers for clauses
% 0.83/1.18 *** allocated 10000 integers for justifications
% 0.83/1.18 Bliksem 1.12
% 0.83/1.18
% 0.83/1.18
% 0.83/1.18 Automatic Strategy Selection
% 0.83/1.18
% 0.83/1.18 Clauses:
% 0.83/1.18 [
% 0.83/1.18 [ equidistant( X, Y, Y, X ) ],
% 0.83/1.18 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 0.83/1.18 equidistant( Z, T, U, W ) ],
% 0.83/1.18 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.83/1.18 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.83/1.18 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.83/1.18 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.83/1.18 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 0.83/1.18 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.83/1.18 , V0, W, V1 ) ],
% 0.83/1.18 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.83/1.18 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 0.83/1.18 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.83/1.18 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 0.83/1.18 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.83/1.18 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.83/1.18 'lower_dimension_point_3' ) ) ],
% 0.83/1.18 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.83/1.18 'lower_dimension_point_1' ) ) ],
% 0.83/1.18 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.83/1.18 'lower_dimension_point_2' ) ) ],
% 0.83/1.18 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 0.83/1.18 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 0.83/1.18 between( U, X, T ), =( Y, Z ) ],
% 0.83/1.18 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.83/1.18 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.83/1.18 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.83/1.18 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.83/1.18 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.83/1.18 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.83/1.18 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.83/1.18 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.83/1.18 , Y, Z, W, T, U ), U ) ],
% 0.83/1.18 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.83/1.18 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 0.83/1.18 continuous( X, Y, Z, W, T, U ) ) ],
% 0.83/1.18 [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ],
% 0.83/1.18 [ equidistant( X, Y, X, Y ) ],
% 0.83/1.18 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ],
% 0.83/1.18 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ],
% 0.83/1.18 [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z ) ],
% 0.83/1.18 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z ) ],
% 0.83/1.18 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X ) ],
% 0.83/1.18 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y ) ],
% 0.83/1.18 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X ) ],
% 0.83/1.18 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U, W ) ),
% 0.83/1.18 equidistant( X, Y, U, W ) ],
% 0.83/1.18 [ =( X, extension( Y, X, Z, Z ) ) ],
% 0.83/1.18 [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ],
% 0.83/1.18 [ ~( between( u, v, reflection( u, v ) ) ) ]
% 0.83/1.18 ] .
% 0.83/1.18
% 0.83/1.18
% 0.83/1.18 percentage equality = 0.126582, percentage horn = 0.838710
% 0.83/1.18 This is a problem with some equality
% 0.83/1.18
% 0.83/1.18
% 0.83/1.18
% 0.83/1.18 Options Used:
% 0.83/1.18
% 0.83/1.18 useres = 1
% 0.83/1.18 useparamod = 1
% 0.83/1.18 useeqrefl = 1
% 0.83/1.18 useeqfact = 1
% 0.83/1.18 usefactor = 1
% 0.83/1.18 usesimpsplitting = 0
% 0.83/1.18 usesimpdemod = 5
% 0.83/1.18 usesimpres = 3
% 0.83/1.18
% 0.83/1.18 resimpinuse = 1000
% 0.83/1.18 resimpclauses = 20000
% 0.83/1.18 substype = eqrewr
% 0.83/1.18 backwardsubs = 1
% 0.83/1.18 selectoldest = 5
% 0.83/1.18
% 0.83/1.18 litorderings [0] = split
% 0.83/1.18 litorderings [1] = extend the termordering, first sorting on arguments
% 0.83/1.18
% 0.83/1.18 termordering = kbo
% 0.83/1.18
% 0.83/1.18 litapriori = 0
% 0.83/1.18 termapriori = 1
% 0.83/1.18 litaposteriori = 0
% 0.83/1.18 termaposteriori = 0
% 0.83/1.18 demodaposteriori = 0
% 0.83/1.18 ordereqreflfact = 0
% 0.83/1.18
% 0.83/1.18 litselect = negord
% 0.83/1.18
% 0.83/1.18 maxweight = 15
% 0.83/1.18 maxdepth = 30000
% 0.83/1.18 maxlength = 115
% 0.83/1.18 maxnrvars = 195
% 0.83/1.18 excuselevel = 1
% 0.83/1.18 increasemaxweight = 1
% 0.83/1.18
% 0.83/1.18 maxselected = 10000000
% 0.83/1.18 maxnrclauses = 10000000
% 0.83/1.18
% 0.83/1.18 showgenerated = 0
% 0.83/1.18 showkept = 0
% 0.83/1.18 showselected = 0
% 0.83/1.18 showdeleted = 0
% 0.83/1.18 showresimp = 1
% 0.83/1.18 showstatus = 2000
% 0.83/1.18
% 0.83/1.18 prologoutput = 1
% 0.83/1.18 nrgoals = 5000000
% 0.83/1.18 totalproof = 1
% 0.83/1.18
% 0.83/1.18 Symbols occurring in the translation:
% 0.83/1.18
% 0.83/1.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.83/1.18 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 0.83/1.18 ! [4, 1] (w:0, o:25, a:1, s:1, b:0),
% 0.83/1.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.83/1.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.83/1.18 equidistant [41, 4] (w:1, o:57, a:1, s:1, b:0),
% 0.83/1.18 extension [46, 4] (w:1, o:58, a:1, s:1, b:0),
% 0.83/1.18 between [47, 3] (w:1, o:56, a:1, s:1, b:0),
% 0.83/1.18 'inner_pasch' [53, 5] (w:1, o:59, a:1, s:1, b:0),
% 0.83/1.18 'lower_dimension_point_1' [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.83/1.18 'lower_dimension_point_2' [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.83/1.18 'lower_dimension_point_3' [56, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.83/1.18 euclid1 [57, 5] (w:1, o:60, a:1, s:1, b:0),
% 0.83/1.18 euclid2 [58, 5] (w:1, o:61, a:1, s:1, b:0),
% 0.83/1.18 continuous [59, 6] (w:1, o:62, a:1, s:1, b:0),
% 0.83/1.18 reflection [60, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.83/1.18 u [61, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.83/1.18 v [62, 0] (w:1, o:24, a:1, s:1, b:0).
% 0.83/1.18
% 0.83/1.18
% 0.83/1.18 Starting Search:
% 0.83/1.18
% 0.83/1.18
% 0.83/1.18 Bliksems!, er is een bewijs:
% 0.83/1.18 % SZS status Unsatisfiable
% 0.83/1.18 % SZS output start Refutation
% 0.83/1.18
% 0.83/1.18 clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.83/1.18 .
% 0.83/1.18 clause( 18, [ =( extension( X, Y, X, Y ), reflection( X, Y ) ) ] )
% 0.83/1.18 .
% 0.83/1.18 clause( 30, [ ~( between( u, v, reflection( u, v ) ) ) ] )
% 0.83/1.18 .
% 0.83/1.18 clause( 901, [ between( X, Y, reflection( X, Y ) ) ] )
% 0.83/1.18 .
% 0.83/1.18 clause( 909, [] )
% 0.83/1.18 .
% 0.83/1.18
% 0.83/1.18
% 0.83/1.18 % SZS output end Refutation
% 0.83/1.18 found a proof!
% 0.83/1.18
% 0.83/1.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.83/1.18
% 0.83/1.18 initialclauses(
% 0.83/1.18 [ clause( 911, [ equidistant( X, Y, Y, X ) ] )
% 0.83/1.18 , clause( 912, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W
% 0.83/1.18 ) ), equidistant( Z, T, U, W ) ] )
% 0.83/1.18 , clause( 913, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.83/1.18 , clause( 914, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.83/1.18 , clause( 915, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.83/1.18 , clause( 916, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W
% 0.83/1.18 ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) )
% 0.83/1.18 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 0.83/1.19 equidistant( U, V0, W, V1 ) ] )
% 0.83/1.19 , clause( 917, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.83/1.19 , clause( 918, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.83/1.19 Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 0.83/1.19 , clause( 919, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.83/1.19 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 0.83/1.19 , clause( 920, [ ~( between( 'lower_dimension_point_1',
% 0.83/1.19 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.83/1.19 , clause( 921, [ ~( between( 'lower_dimension_point_2',
% 0.83/1.19 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.83/1.19 , clause( 922, [ ~( between( 'lower_dimension_point_3',
% 0.83/1.19 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.83/1.19 , clause( 923, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z
% 0.83/1.19 ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U,
% 0.83/1.19 X ), between( U, X, T ), =( Y, Z ) ] )
% 0.83/1.19 , clause( 924, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.83/1.19 ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 0.83/1.19 , clause( 925, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.83/1.19 ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 0.83/1.19 , clause( 926, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.83/1.19 ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ] )
% 0.83/1.19 , clause( 927, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U
% 0.83/1.19 ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 0.83/1.19 continuous( X, Y, Z, W, T, U ), U ) ] )
% 0.83/1.19 , clause( 928, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U
% 0.83/1.19 ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W
% 0.83/1.19 , X, continuous( X, Y, Z, W, T, U ) ) ] )
% 0.83/1.19 , clause( 929, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 0.83/1.19 , clause( 930, [ equidistant( X, Y, X, Y ) ] )
% 0.83/1.19 , clause( 931, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y )
% 0.83/1.19 ] )
% 0.83/1.19 , clause( 932, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T )
% 0.83/1.19 ] )
% 0.83/1.19 , clause( 933, [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z )
% 0.83/1.19 ] )
% 0.83/1.19 , clause( 934, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z )
% 0.83/1.19 ] )
% 0.83/1.19 , clause( 935, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X )
% 0.83/1.19 ] )
% 0.83/1.19 , clause( 936, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y )
% 0.83/1.19 ] )
% 0.83/1.19 , clause( 937, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X )
% 0.83/1.19 ] )
% 0.83/1.19 , clause( 938, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U, W
% 0.83/1.19 ) ), equidistant( X, Y, U, W ) ] )
% 0.83/1.19 , clause( 939, [ =( X, extension( Y, X, Z, Z ) ) ] )
% 0.83/1.19 , clause( 940, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ]
% 0.83/1.19 )
% 0.83/1.19 , clause( 941, [ ~( between( u, v, reflection( u, v ) ) ) ] )
% 0.83/1.19 ] ).
% 0.83/1.19
% 0.83/1.19
% 0.83/1.19
% 0.83/1.19 subsumption(
% 0.83/1.19 clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.83/1.19 , clause( 914, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.83/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.83/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.83/1.19
% 0.83/1.19
% 0.83/1.19 eqswap(
% 0.83/1.19 clause( 1002, [ =( extension( X, Y, X, Y ), reflection( X, Y ) ) ] )
% 0.83/1.19 , clause( 929, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 0.83/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.83/1.19
% 0.83/1.19
% 0.83/1.19 subsumption(
% 0.83/1.19 clause( 18, [ =( extension( X, Y, X, Y ), reflection( X, Y ) ) ] )
% 0.83/1.19 , clause( 1002, [ =( extension( X, Y, X, Y ), reflection( X, Y ) ) ] )
% 0.83/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.83/1.19 )] ) ).
% 0.83/1.19
% 0.83/1.19
% 0.83/1.19 subsumption(
% 0.83/1.19 clause( 30, [ ~( between( u, v, reflection( u, v ) ) ) ] )
% 0.83/1.19 , clause( 941, [ ~( between( u, v, reflection( u, v ) ) ) ] )
% 0.83/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.83/1.19
% 0.83/1.19
% 0.83/1.19 paramod(
% 0.83/1.19 clause( 1066, [ between( X, Y, reflection( X, Y ) ) ] )
% 0.83/1.19 , clause( 18, [ =( extension( X, Y, X, Y ), reflection( X, Y ) ) ] )
% 0.83/1.19 , 0, clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.83/1.19 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.83/1.19 :=( X, X ), :=( Y, Y ), :=( Z, X ), :=( T, Y )] )).
% 0.83/1.19
% 0.83/1.19
% 0.83/1.19 subsumption(
% 0.83/1.19 clause( 901, [ between( X, Y, reflection( X, Y ) ) ] )
% 0.83/1.19 , clause( 1066, [ between( X, Y, reflection( X, Y ) ) ] )
% 0.83/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.83/1.19 )] ) ).
% 0.83/1.19
% 0.83/1.19
% 0.83/1.19 resolution(
% 0.83/1.19 clause( 1067, [] )
% 0.83/1.19 , clause( 30, [ ~( between( u, v, reflection( u, v ) ) ) ] )
% 0.83/1.19 , 0, clause( 901, [ between( X, Y, reflection( X, Y ) ) ] )
% 0.83/1.19 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, u ), :=( Y, v )] )
% 0.83/1.19 ).
% 0.83/1.19
% 0.83/1.19
% 0.83/1.19 subsumption(
% 0.83/1.19 clause( 909, [] )
% 0.83/1.19 , clause( 1067, [] )
% 0.83/1.19 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.83/1.19
% 0.83/1.19
% 0.83/1.19 end.
% 0.83/1.19
% 0.83/1.19 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.83/1.19
% 0.83/1.19 Memory use:
% 0.83/1.19
% 0.83/1.19 space for terms: 27400
% 0.83/1.19 space for clauses: 47986
% 0.83/1.19
% 0.83/1.19
% 0.83/1.19 clauses generated: 5405
% 0.83/1.19 clauses kept: 910
% 0.83/1.19 clauses selected: 68
% 0.83/1.19 clauses deleted: 0
% 0.83/1.19 clauses inuse deleted: 0
% 0.83/1.19
% 0.83/1.19 subsentry: 14640
% 0.83/1.19 literals s-matched: 12141
% 0.83/1.19 literals matched: 10696
% 0.83/1.19 full subsumption: 9256
% 0.83/1.19
% 0.83/1.19 checksum: 197429480
% 0.83/1.19
% 0.83/1.19
% 0.83/1.19 Bliksem ended
%------------------------------------------------------------------------------