TSTP Solution File: GEO039-2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO039-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 02:51:05 EDT 2022
% Result : Unsatisfiable 0.43s 1.07s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO039-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n029.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 : Sat Jun 18 05:42:43 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.43/1.07 *** allocated 10000 integers for termspace/termends
% 0.43/1.07 *** allocated 10000 integers for clauses
% 0.43/1.07 *** allocated 10000 integers for justifications
% 0.43/1.07 Bliksem 1.12
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Automatic Strategy Selection
% 0.43/1.07
% 0.43/1.07 Clauses:
% 0.43/1.07 [
% 0.43/1.07 [ equidistant( X, Y, Y, X ) ],
% 0.43/1.07 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 0.43/1.07 equidistant( Z, T, U, W ) ],
% 0.43/1.07 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.43/1.07 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.43/1.07 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.43/1.07 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.43/1.07 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 0.43/1.07 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.43/1.07 , V0, W, V1 ) ],
% 0.43/1.07 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.43/1.07 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 0.43/1.07 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.43/1.07 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 0.43/1.07 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.43/1.07 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.43/1.07 'lower_dimension_point_3' ) ) ],
% 0.43/1.07 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.43/1.07 'lower_dimension_point_1' ) ) ],
% 0.43/1.07 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.43/1.07 'lower_dimension_point_2' ) ) ],
% 0.43/1.07 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 0.43/1.07 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 0.43/1.07 between( U, X, T ), =( Y, Z ) ],
% 0.43/1.07 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.43/1.07 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.43/1.07 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.43/1.07 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.43/1.07 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.43/1.07 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.43/1.07 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.43/1.07 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.43/1.07 , Y, Z, W, T, U ), U ) ],
% 0.43/1.07 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.43/1.07 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 0.43/1.07 continuous( X, Y, Z, W, T, U ) ) ],
% 0.43/1.07 [ between( u, w, x ) ],
% 0.43/1.07 [ =( u, x ) ],
% 0.43/1.07 [ ~( between( v, w, x ) ) ]
% 0.43/1.07 ] .
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 percentage equality = 0.135593, percentage horn = 0.761905
% 0.43/1.07 This is a problem with some equality
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Options Used:
% 0.43/1.07
% 0.43/1.07 useres = 1
% 0.43/1.07 useparamod = 1
% 0.43/1.07 useeqrefl = 1
% 0.43/1.07 useeqfact = 1
% 0.43/1.07 usefactor = 1
% 0.43/1.07 usesimpsplitting = 0
% 0.43/1.07 usesimpdemod = 5
% 0.43/1.07 usesimpres = 3
% 0.43/1.07
% 0.43/1.07 resimpinuse = 1000
% 0.43/1.07 resimpclauses = 20000
% 0.43/1.07 substype = eqrewr
% 0.43/1.07 backwardsubs = 1
% 0.43/1.07 selectoldest = 5
% 0.43/1.07
% 0.43/1.07 litorderings [0] = split
% 0.43/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.43/1.07
% 0.43/1.07 termordering = kbo
% 0.43/1.07
% 0.43/1.07 litapriori = 0
% 0.43/1.07 termapriori = 1
% 0.43/1.07 litaposteriori = 0
% 0.43/1.07 termaposteriori = 0
% 0.43/1.07 demodaposteriori = 0
% 0.43/1.07 ordereqreflfact = 0
% 0.43/1.07
% 0.43/1.07 litselect = negord
% 0.43/1.07
% 0.43/1.07 maxweight = 15
% 0.43/1.07 maxdepth = 30000
% 0.43/1.07 maxlength = 115
% 0.43/1.07 maxnrvars = 195
% 0.43/1.07 excuselevel = 1
% 0.43/1.07 increasemaxweight = 1
% 0.43/1.07
% 0.43/1.07 maxselected = 10000000
% 0.43/1.07 maxnrclauses = 10000000
% 0.43/1.07
% 0.43/1.07 showgenerated = 0
% 0.43/1.07 showkept = 0
% 0.43/1.07 showselected = 0
% 0.43/1.07 showdeleted = 0
% 0.43/1.07 showresimp = 1
% 0.43/1.07 showstatus = 2000
% 0.43/1.07
% 0.43/1.07 prologoutput = 1
% 0.43/1.07 nrgoals = 5000000
% 0.43/1.07 totalproof = 1
% 0.43/1.07
% 0.43/1.07 Symbols occurring in the translation:
% 0.43/1.07
% 0.43/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.07 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 0.43/1.07 ! [4, 1] (w:0, o:27, a:1, s:1, b:0),
% 0.43/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.07 equidistant [41, 4] (w:1, o:58, a:1, s:1, b:0),
% 0.43/1.07 extension [46, 4] (w:1, o:59, a:1, s:1, b:0),
% 0.43/1.07 between [47, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.43/1.07 'inner_pasch' [53, 5] (w:1, o:60, a:1, s:1, b:0),
% 0.43/1.07 'lower_dimension_point_1' [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.43/1.07 'lower_dimension_point_2' [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.43/1.07 'lower_dimension_point_3' [56, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.43/1.07 euclid1 [57, 5] (w:1, o:61, a:1, s:1, b:0),
% 0.43/1.07 euclid2 [58, 5] (w:1, o:62, a:1, s:1, b:0),
% 0.43/1.07 continuous [59, 6] (w:1, o:63, a:1, s:1, b:0),
% 0.43/1.07 u [60, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.43/1.07 w [61, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.43/1.07 x [62, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.43/1.07 v [63, 0] (w:1, o:24, a:1, s:1, b:0).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Starting Search:
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Bliksems!, er is een bewijs:
% 0.43/1.07 % SZS status Unsatisfiable
% 0.43/1.07 % SZS output start Refutation
% 0.43/1.07
% 0.43/1.07 clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 18, [ between( u, w, x ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 19, [ =( x, u ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 20, [ ~( between( v, w, u ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 35, [ between( u, w, u ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 36, [ =( w, u ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 65, [ ~( between( v, u, u ) ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 140, [ =( extension( Y, X, Z, Z ), X ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 148, [ between( X, Y, Y ) ] )
% 0.43/1.07 .
% 0.43/1.07 clause( 149, [] )
% 0.43/1.07 .
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 % SZS output end Refutation
% 0.43/1.07 found a proof!
% 0.43/1.07
% 0.43/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07
% 0.43/1.07 initialclauses(
% 0.43/1.07 [ clause( 151, [ equidistant( X, Y, Y, X ) ] )
% 0.43/1.07 , clause( 152, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W
% 0.43/1.07 ) ), equidistant( Z, T, U, W ) ] )
% 0.43/1.07 , clause( 153, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.43/1.07 , clause( 154, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.43/1.07 , clause( 155, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.43/1.07 , clause( 156, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W
% 0.43/1.07 ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) )
% 0.43/1.07 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 0.43/1.07 equidistant( U, V0, W, V1 ) ] )
% 0.43/1.07 , clause( 157, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.43/1.07 , clause( 158, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.43/1.07 Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 0.43/1.07 , clause( 159, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.43/1.07 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 0.43/1.07 , clause( 160, [ ~( between( 'lower_dimension_point_1',
% 0.43/1.07 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.43/1.07 , clause( 161, [ ~( between( 'lower_dimension_point_2',
% 0.43/1.07 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.43/1.07 , clause( 162, [ ~( between( 'lower_dimension_point_3',
% 0.43/1.07 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.43/1.07 , clause( 163, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z
% 0.43/1.07 ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U,
% 0.43/1.07 X ), between( U, X, T ), =( Y, Z ) ] )
% 0.43/1.07 , clause( 164, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.43/1.07 ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 0.43/1.07 , clause( 165, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.43/1.07 ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 0.43/1.07 , clause( 166, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.43/1.07 ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ] )
% 0.43/1.07 , clause( 167, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U
% 0.43/1.07 ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 0.43/1.07 continuous( X, Y, Z, W, T, U ), U ) ] )
% 0.43/1.07 , clause( 168, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U
% 0.43/1.07 ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W
% 0.43/1.07 , X, continuous( X, Y, Z, W, T, U ) ) ] )
% 0.43/1.07 , clause( 169, [ between( u, w, x ) ] )
% 0.43/1.07 , clause( 170, [ =( u, x ) ] )
% 0.43/1.07 , clause( 171, [ ~( between( v, w, x ) ) ] )
% 0.43/1.07 ] ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.43/1.07 , clause( 153, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.43/1.07 , clause( 154, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.43/1.07 , clause( 155, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.43/1.07 , clause( 157, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 ), ==>( 1, 1 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 18, [ between( u, w, x ) ] )
% 0.43/1.07 , clause( 169, [ between( u, w, x ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 326, [ =( x, u ) ] )
% 0.43/1.07 , clause( 170, [ =( u, x ) ] )
% 0.43/1.07 , 0, substitution( 0, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 19, [ =( x, u ) ] )
% 0.43/1.07 , clause( 326, [ =( x, u ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 410, [ ~( between( v, w, u ) ) ] )
% 0.43/1.07 , clause( 19, [ =( x, u ) ] )
% 0.43/1.07 , 0, clause( 171, [ ~( between( v, w, x ) ) ] )
% 0.43/1.07 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 20, [ ~( between( v, w, u ) ) ] )
% 0.43/1.07 , clause( 410, [ ~( between( v, w, u ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 412, [ between( u, w, u ) ] )
% 0.43/1.07 , clause( 19, [ =( x, u ) ] )
% 0.43/1.07 , 0, clause( 18, [ between( u, w, x ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 35, [ between( u, w, u ) ] )
% 0.43/1.07 , clause( 412, [ between( u, w, u ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 413, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 0.43/1.07 , clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.43/1.07 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 414, [ =( w, u ) ] )
% 0.43/1.07 , clause( 413, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 0.43/1.07 , 1, clause( 35, [ between( u, w, u ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, u ), :=( Y, w )] ), substitution( 1, [] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 36, [ =( w, u ) ] )
% 0.43/1.07 , clause( 414, [ =( w, u ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 417, [ ~( between( v, u, u ) ) ] )
% 0.43/1.07 , clause( 36, [ =( w, u ) ] )
% 0.43/1.07 , 0, clause( 20, [ ~( between( v, w, u ) ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 65, [ ~( between( v, u, u ) ) ] )
% 0.43/1.07 , clause( 417, [ ~( between( v, u, u ) ) ] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 eqswap(
% 0.43/1.07 clause( 418, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 0.43/1.07 , clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.43/1.07 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 419, [ =( extension( X, Y, Z, Z ), Y ) ] )
% 0.43/1.07 , clause( 418, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 0.43/1.07 , 1, clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.43/1.07 , 0, substitution( 0, [ :=( X, Y ), :=( Y, extension( X, Y, Z, Z ) ), :=( Z
% 0.43/1.07 , Z )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, Z
% 0.43/1.07 )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 140, [ =( extension( Y, X, Z, Z ), X ) ] )
% 0.43/1.07 , clause( 419, [ =( extension( X, Y, Z, Z ), Y ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.43/1.07 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 paramod(
% 0.43/1.07 clause( 422, [ between( X, Y, Y ) ] )
% 0.43/1.07 , clause( 140, [ =( extension( Y, X, Z, Z ), X ) ] )
% 0.43/1.07 , 0, clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.43/1.07 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.43/1.07 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] )).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 148, [ between( X, Y, Y ) ] )
% 0.43/1.07 , clause( 422, [ between( X, Y, Y ) ] )
% 0.43/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07 )] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 resolution(
% 0.43/1.07 clause( 423, [] )
% 0.43/1.07 , clause( 65, [ ~( between( v, u, u ) ) ] )
% 0.43/1.07 , 0, clause( 148, [ between( X, Y, Y ) ] )
% 0.43/1.07 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, v ), :=( Y, u )] )
% 0.43/1.07 ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 subsumption(
% 0.43/1.07 clause( 149, [] )
% 0.43/1.07 , clause( 423, [] )
% 0.43/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 end.
% 0.43/1.07
% 0.43/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07
% 0.43/1.07 Memory use:
% 0.43/1.07
% 0.43/1.07 space for terms: 2756
% 0.43/1.07 space for clauses: 7937
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 clauses generated: 272
% 0.43/1.07 clauses kept: 150
% 0.43/1.07 clauses selected: 22
% 0.43/1.07 clauses deleted: 1
% 0.43/1.07 clauses inuse deleted: 0
% 0.43/1.07
% 0.43/1.07 subsentry: 1745
% 0.43/1.07 literals s-matched: 1434
% 0.43/1.07 literals matched: 777
% 0.43/1.07 full subsumption: 452
% 0.43/1.07
% 0.43/1.07 checksum: 469729572
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 Bliksem ended
%------------------------------------------------------------------------------