TSTP Solution File: GEO021-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO021-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 02:50:56 EDT 2022
% Result : Unsatisfiable 0.72s 1.14s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO021-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Fri Jun 17 23:34:32 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.72/1.14 *** allocated 10000 integers for termspace/termends
% 0.72/1.14 *** allocated 10000 integers for clauses
% 0.72/1.14 *** allocated 10000 integers for justifications
% 0.72/1.14 Bliksem 1.12
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 Automatic Strategy Selection
% 0.72/1.14
% 0.72/1.14 Clauses:
% 0.72/1.14 [
% 0.72/1.14 [ equidistant( X, Y, Y, X ) ],
% 0.72/1.14 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 0.72/1.14 equidistant( Z, T, U, W ) ],
% 0.72/1.14 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.72/1.14 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.72/1.14 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.72/1.14 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.72/1.14 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 0.72/1.14 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.72/1.14 , V0, W, V1 ) ],
% 0.72/1.14 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.72/1.14 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 0.72/1.14 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.72/1.14 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 0.72/1.14 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.72/1.14 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.72/1.14 'lower_dimension_point_3' ) ) ],
% 0.72/1.14 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.72/1.14 'lower_dimension_point_1' ) ) ],
% 0.72/1.14 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.72/1.14 'lower_dimension_point_2' ) ) ],
% 0.72/1.14 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 0.72/1.14 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 0.72/1.14 between( U, X, T ), =( Y, Z ) ],
% 0.72/1.14 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.72/1.14 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.72/1.14 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.72/1.14 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.72/1.14 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.72/1.14 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.72/1.14 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.72/1.14 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.72/1.14 , Y, Z, W, T, U ), U ) ],
% 0.72/1.14 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.72/1.14 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 0.72/1.14 continuous( X, Y, Z, W, T, U ) ) ],
% 0.72/1.14 [ equidistant( X, Y, X, Y ) ],
% 0.72/1.14 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ],
% 0.72/1.14 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ],
% 0.72/1.14 [ equidistant( u, v, w, x ) ],
% 0.72/1.14 [ ~( equidistant( x, w, v, u ) ) ]
% 0.72/1.14 ] .
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 percentage equality = 0.111111, percentage horn = 0.782609
% 0.72/1.14 This is a problem with some equality
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 Options Used:
% 0.72/1.14
% 0.72/1.14 useres = 1
% 0.72/1.14 useparamod = 1
% 0.72/1.14 useeqrefl = 1
% 0.72/1.14 useeqfact = 1
% 0.72/1.14 usefactor = 1
% 0.72/1.14 usesimpsplitting = 0
% 0.72/1.14 usesimpdemod = 5
% 0.72/1.14 usesimpres = 3
% 0.72/1.14
% 0.72/1.14 resimpinuse = 1000
% 0.72/1.14 resimpclauses = 20000
% 0.72/1.14 substype = eqrewr
% 0.72/1.14 backwardsubs = 1
% 0.72/1.14 selectoldest = 5
% 0.72/1.14
% 0.72/1.14 litorderings [0] = split
% 0.72/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.14
% 0.72/1.14 termordering = kbo
% 0.72/1.14
% 0.72/1.14 litapriori = 0
% 0.72/1.14 termapriori = 1
% 0.72/1.14 litaposteriori = 0
% 0.72/1.14 termaposteriori = 0
% 0.72/1.14 demodaposteriori = 0
% 0.72/1.14 ordereqreflfact = 0
% 0.72/1.14
% 0.72/1.14 litselect = negord
% 0.72/1.14
% 0.72/1.14 maxweight = 15
% 0.72/1.14 maxdepth = 30000
% 0.72/1.14 maxlength = 115
% 0.72/1.14 maxnrvars = 195
% 0.72/1.14 excuselevel = 1
% 0.72/1.14 increasemaxweight = 1
% 0.72/1.14
% 0.72/1.14 maxselected = 10000000
% 0.72/1.14 maxnrclauses = 10000000
% 0.72/1.14
% 0.72/1.14 showgenerated = 0
% 0.72/1.14 showkept = 0
% 0.72/1.14 showselected = 0
% 0.72/1.14 showdeleted = 0
% 0.72/1.14 showresimp = 1
% 0.72/1.14 showstatus = 2000
% 0.72/1.14
% 0.72/1.14 prologoutput = 1
% 0.72/1.14 nrgoals = 5000000
% 0.72/1.14 totalproof = 1
% 0.72/1.14
% 0.72/1.14 Symbols occurring in the translation:
% 0.72/1.14
% 0.72/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.14 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 0.72/1.14 ! [4, 1] (w:0, o:27, a:1, s:1, b:0),
% 0.72/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.14 equidistant [41, 4] (w:1, o:58, a:1, s:1, b:0),
% 0.72/1.14 extension [46, 4] (w:1, o:59, a:1, s:1, b:0),
% 0.72/1.14 between [47, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.72/1.14 'inner_pasch' [53, 5] (w:1, o:60, a:1, s:1, b:0),
% 0.72/1.14 'lower_dimension_point_1' [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.72/1.14 'lower_dimension_point_2' [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.72/1.14 'lower_dimension_point_3' [56, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.72/1.14 euclid1 [57, 5] (w:1, o:61, a:1, s:1, b:0),
% 0.72/1.14 euclid2 [58, 5] (w:1, o:62, a:1, s:1, b:0),
% 0.72/1.14 continuous [59, 6] (w:1, o:63, a:1, s:1, b:0),
% 0.72/1.14 u [60, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.72/1.14 v [61, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.72/1.14 w [62, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.72/1.14 x [63, 0] (w:1, o:26, a:1, s:1, b:0).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 Starting Search:
% 0.72/1.14
% 0.72/1.14 Resimplifying inuse:
% 0.72/1.14 Done
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 Bliksems!, er is een bewijs:
% 0.72/1.14 % SZS status Unsatisfiable
% 0.72/1.14 % SZS output start Refutation
% 0.72/1.14
% 0.72/1.14 clause( 19, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ]
% 0.72/1.14 )
% 0.72/1.14 .
% 0.72/1.14 clause( 20, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ]
% 0.72/1.14 )
% 0.72/1.14 .
% 0.72/1.14 clause( 21, [ equidistant( u, v, w, x ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 22, [ ~( equidistant( x, w, v, u ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 1034, [ equidistant( v, u, w, x ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 1035, [ ~( equidistant( w, x, v, u ) ) ] )
% 0.72/1.14 .
% 0.72/1.14 clause( 1054, [] )
% 0.72/1.14 .
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 % SZS output end Refutation
% 0.72/1.14 found a proof!
% 0.72/1.14
% 0.72/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.14
% 0.72/1.14 initialclauses(
% 0.72/1.14 [ clause( 1056, [ equidistant( X, Y, Y, X ) ] )
% 0.72/1.14 , clause( 1057, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 0.72/1.14 W ) ), equidistant( Z, T, U, W ) ] )
% 0.72/1.14 , clause( 1058, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.72/1.14 , clause( 1059, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.72/1.14 , clause( 1060, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.72/1.14 , clause( 1061, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T,
% 0.72/1.14 W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) )
% 0.72/1.14 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 0.72/1.14 equidistant( U, V0, W, V1 ) ] )
% 0.72/1.14 , clause( 1062, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.72/1.14 , clause( 1063, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.72/1.14 Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 0.72/1.14 , clause( 1064, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.72/1.14 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 0.72/1.14 , clause( 1065, [ ~( between( 'lower_dimension_point_1',
% 0.72/1.14 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.72/1.14 , clause( 1066, [ ~( between( 'lower_dimension_point_2',
% 0.72/1.14 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.72/1.14 , clause( 1067, [ ~( between( 'lower_dimension_point_3',
% 0.72/1.14 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.72/1.14 , clause( 1068, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T,
% 0.72/1.14 Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U
% 0.72/1.14 , X ), between( U, X, T ), =( Y, Z ) ] )
% 0.72/1.14 , clause( 1069, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.72/1.14 ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 0.72/1.14 , clause( 1070, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.72/1.14 ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 0.72/1.14 , clause( 1071, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.72/1.14 ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ] )
% 0.72/1.14 , clause( 1072, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 0.72/1.14 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 0.72/1.14 continuous( X, Y, Z, W, T, U ), U ) ] )
% 0.72/1.14 , clause( 1073, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 0.72/1.14 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X,
% 0.72/1.14 W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 0.72/1.14 , clause( 1074, [ equidistant( X, Y, X, Y ) ] )
% 0.72/1.14 , clause( 1075, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y )
% 0.72/1.14 ] )
% 0.72/1.14 , clause( 1076, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T )
% 0.72/1.14 ] )
% 0.72/1.14 , clause( 1077, [ equidistant( u, v, w, x ) ] )
% 0.72/1.14 , clause( 1078, [ ~( equidistant( x, w, v, u ) ) ] )
% 0.72/1.14 ] ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 19, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ]
% 0.72/1.14 )
% 0.72/1.14 , clause( 1075, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y )
% 0.72/1.14 ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.14 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 20, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ]
% 0.72/1.14 )
% 0.72/1.14 , clause( 1076, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T )
% 0.72/1.14 ] )
% 0.72/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.72/1.14 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 21, [ equidistant( u, v, w, x ) ] )
% 0.72/1.14 , clause( 1077, [ equidistant( u, v, w, x ) ] )
% 0.72/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 22, [ ~( equidistant( x, w, v, u ) ) ] )
% 0.72/1.14 , clause( 1078, [ ~( equidistant( x, w, v, u ) ) ] )
% 0.72/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 1311, [ equidistant( v, u, w, x ) ] )
% 0.72/1.14 , clause( 20, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ]
% 0.72/1.14 )
% 0.72/1.14 , 0, clause( 21, [ equidistant( u, v, w, x ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, u ), :=( Y, v ), :=( Z, w ), :=( T, x )] ),
% 0.72/1.14 substitution( 1, [] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 1034, [ equidistant( v, u, w, x ) ] )
% 0.72/1.14 , clause( 1311, [ equidistant( v, u, w, x ) ] )
% 0.72/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 1312, [ ~( equidistant( w, x, v, u ) ) ] )
% 0.72/1.14 , clause( 22, [ ~( equidistant( x, w, v, u ) ) ] )
% 0.72/1.14 , 0, clause( 20, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T
% 0.72/1.14 ) ] )
% 0.72/1.14 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, w ), :=( Y, x ), :=(
% 0.72/1.14 Z, v ), :=( T, u )] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 1035, [ ~( equidistant( w, x, v, u ) ) ] )
% 0.72/1.14 , clause( 1312, [ ~( equidistant( w, x, v, u ) ) ] )
% 0.72/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 1313, [ equidistant( w, x, v, u ) ] )
% 0.72/1.14 , clause( 19, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ]
% 0.72/1.14 )
% 0.72/1.14 , 0, clause( 1034, [ equidistant( v, u, w, x ) ] )
% 0.72/1.14 , 0, substitution( 0, [ :=( X, v ), :=( Y, u ), :=( Z, w ), :=( T, x )] ),
% 0.72/1.14 substitution( 1, [] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 resolution(
% 0.72/1.14 clause( 1314, [] )
% 0.72/1.14 , clause( 1035, [ ~( equidistant( w, x, v, u ) ) ] )
% 0.72/1.14 , 0, clause( 1313, [ equidistant( w, x, v, u ) ] )
% 0.72/1.14 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 subsumption(
% 0.72/1.14 clause( 1054, [] )
% 0.72/1.14 , clause( 1314, [] )
% 0.72/1.14 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 end.
% 0.72/1.14
% 0.72/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.14
% 0.72/1.14 Memory use:
% 0.72/1.14
% 0.72/1.14 space for terms: 30345
% 0.72/1.14 space for clauses: 53446
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 clauses generated: 5867
% 0.72/1.14 clauses kept: 1055
% 0.72/1.14 clauses selected: 74
% 0.72/1.14 clauses deleted: 0
% 0.72/1.14 clauses inuse deleted: 0
% 0.72/1.14
% 0.72/1.14 subsentry: 15045
% 0.72/1.14 literals s-matched: 11623
% 0.72/1.14 literals matched: 9813
% 0.72/1.14 full subsumption: 8265
% 0.72/1.14
% 0.72/1.14 checksum: 182649015
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 Bliksem ended
%------------------------------------------------------------------------------