TSTP Solution File: GEO067-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO067-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 02:51:21 EDT 2022
% Result : Unsatisfiable 0.81s 1.18s
% Output : Refutation 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO067-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sat Jun 18 15:53:14 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.81/1.18 *** allocated 10000 integers for termspace/termends
% 0.81/1.18 *** allocated 10000 integers for clauses
% 0.81/1.18 *** allocated 10000 integers for justifications
% 0.81/1.18 Bliksem 1.12
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 Automatic Strategy Selection
% 0.81/1.18
% 0.81/1.18 Clauses:
% 0.81/1.18 [
% 0.81/1.18 [ equidistant( X, Y, Y, X ) ],
% 0.81/1.18 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 0.81/1.18 equidistant( Z, T, U, W ) ],
% 0.81/1.18 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.81/1.18 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.81/1.18 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.81/1.18 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.81/1.18 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 0.81/1.18 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.81/1.18 , V0, W, V1 ) ],
% 0.81/1.18 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.81/1.18 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 0.81/1.18 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.81/1.18 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 0.81/1.18 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.81/1.18 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.81/1.18 'lower_dimension_point_3' ) ) ],
% 0.81/1.18 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.81/1.18 'lower_dimension_point_1' ) ) ],
% 0.81/1.18 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.81/1.18 'lower_dimension_point_2' ) ) ],
% 0.81/1.18 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 0.81/1.18 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 0.81/1.18 between( U, X, T ), =( Y, Z ) ],
% 0.81/1.18 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.81/1.18 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.81/1.18 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.81/1.18 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.81/1.18 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.81/1.18 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.81/1.18 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.81/1.18 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.81/1.18 , Y, Z, W, T, U ), U ) ],
% 0.81/1.18 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.81/1.18 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 0.81/1.18 continuous( X, Y, Z, W, T, U ) ) ],
% 0.81/1.18 [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ],
% 0.81/1.18 [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ],
% 0.81/1.18 [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ],
% 0.81/1.18 [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z, X ),
% 0.81/1.18 between( Z, X, Y ) ],
% 0.81/1.18 [ ~( colinear( x, x, y ) ), ~( colinear( x, y, x ) ), ~( colinear( y, x
% 0.81/1.18 , x ) ), =( x, y ) ],
% 0.81/1.18 [ ~( colinear( x, x, y ) ), ~( colinear( x, y, x ) ), ~( colinear( y, x
% 0.81/1.18 , x ) ), ~( colinear( x, z, y ) ) ]
% 0.81/1.18 ] .
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 percentage equality = 0.108108, percentage horn = 0.750000
% 0.81/1.18 This is a problem with some equality
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 Options Used:
% 0.81/1.18
% 0.81/1.18 useres = 1
% 0.81/1.18 useparamod = 1
% 0.81/1.18 useeqrefl = 1
% 0.81/1.18 useeqfact = 1
% 0.81/1.18 usefactor = 1
% 0.81/1.18 usesimpsplitting = 0
% 0.81/1.18 usesimpdemod = 5
% 0.81/1.18 usesimpres = 3
% 0.81/1.18
% 0.81/1.18 resimpinuse = 1000
% 0.81/1.18 resimpclauses = 20000
% 0.81/1.18 substype = eqrewr
% 0.81/1.18 backwardsubs = 1
% 0.81/1.18 selectoldest = 5
% 0.81/1.18
% 0.81/1.18 litorderings [0] = split
% 0.81/1.18 litorderings [1] = extend the termordering, first sorting on arguments
% 0.81/1.18
% 0.81/1.18 termordering = kbo
% 0.81/1.18
% 0.81/1.18 litapriori = 0
% 0.81/1.18 termapriori = 1
% 0.81/1.18 litaposteriori = 0
% 0.81/1.18 termaposteriori = 0
% 0.81/1.18 demodaposteriori = 0
% 0.81/1.18 ordereqreflfact = 0
% 0.81/1.18
% 0.81/1.18 litselect = negord
% 0.81/1.18
% 0.81/1.18 maxweight = 15
% 0.81/1.18 maxdepth = 30000
% 0.81/1.18 maxlength = 115
% 0.81/1.18 maxnrvars = 195
% 0.81/1.18 excuselevel = 1
% 0.81/1.18 increasemaxweight = 1
% 0.81/1.18
% 0.81/1.18 maxselected = 10000000
% 0.81/1.18 maxnrclauses = 10000000
% 0.81/1.18
% 0.81/1.18 showgenerated = 0
% 0.81/1.18 showkept = 0
% 0.81/1.18 showselected = 0
% 0.81/1.18 showdeleted = 0
% 0.81/1.18 showresimp = 1
% 0.81/1.18 showstatus = 2000
% 0.81/1.18
% 0.81/1.18 prologoutput = 1
% 0.81/1.18 nrgoals = 5000000
% 0.81/1.18 totalproof = 1
% 0.81/1.18
% 0.81/1.18 Symbols occurring in the translation:
% 0.81/1.18
% 0.81/1.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.81/1.18 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 0.81/1.18 ! [4, 1] (w:0, o:26, a:1, s:1, b:0),
% 0.81/1.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.18 equidistant [41, 4] (w:1, o:58, a:1, s:1, b:0),
% 0.81/1.18 extension [46, 4] (w:1, o:59, a:1, s:1, b:0),
% 0.81/1.18 between [47, 3] (w:1, o:56, a:1, s:1, b:0),
% 0.81/1.18 'inner_pasch' [53, 5] (w:1, o:60, a:1, s:1, b:0),
% 0.81/1.18 'lower_dimension_point_1' [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.81/1.18 'lower_dimension_point_2' [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.81/1.18 'lower_dimension_point_3' [56, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.81/1.18 euclid1 [57, 5] (w:1, o:61, a:1, s:1, b:0),
% 0.81/1.18 euclid2 [58, 5] (w:1, o:62, a:1, s:1, b:0),
% 0.81/1.18 continuous [59, 6] (w:1, o:63, a:1, s:1, b:0),
% 0.81/1.18 colinear [60, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.81/1.18 x [61, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.81/1.18 y [62, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.81/1.18 z [63, 0] (w:1, o:25, a:1, s:1, b:0).
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 Starting Search:
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 Bliksems!, er is een bewijs:
% 0.81/1.18 % SZS status Unsatisfiable
% 0.81/1.18 % SZS output start Refutation
% 0.81/1.18
% 0.81/1.18 clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.81/1.18 .
% 0.81/1.18 clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.81/1.18 .
% 0.81/1.18 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.81/1.18 .
% 0.81/1.18 clause( 18, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 0.81/1.18 .
% 0.81/1.18 clause( 19, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 0.81/1.18 .
% 0.81/1.18 clause( 20, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 0.81/1.18 .
% 0.81/1.18 clause( 22, [ ~( colinear( x, x, y ) ), ~( colinear( x, y, x ) ), ~(
% 0.81/1.18 colinear( y, x, x ) ), =( y, x ) ] )
% 0.81/1.18 .
% 0.81/1.18 clause( 23, [ ~( colinear( x, x, y ) ), ~( colinear( x, y, x ) ), ~(
% 0.81/1.18 colinear( y, x, x ) ), ~( colinear( x, z, x ) ) ] )
% 0.81/1.18 .
% 0.81/1.18 clause( 145, [ =( extension( Y, X, Z, Z ), X ) ] )
% 0.81/1.18 .
% 0.81/1.18 clause( 153, [ between( X, Y, Y ) ] )
% 0.81/1.18 .
% 0.81/1.18 clause( 156, [ colinear( X, Y, Y ) ] )
% 0.81/1.18 .
% 0.81/1.18 clause( 157, [ colinear( X, Y, X ) ] )
% 0.81/1.18 .
% 0.81/1.18 clause( 158, [ colinear( X, X, Y ) ] )
% 0.81/1.18 .
% 0.81/1.18 clause( 976, [ =( y, x ) ] )
% 0.81/1.18 .
% 0.81/1.18 clause( 990, [ ~( colinear( x, x, x ) ) ] )
% 0.81/1.18 .
% 0.81/1.18 clause( 991, [] )
% 0.81/1.18 .
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 % SZS output end Refutation
% 0.81/1.18 found a proof!
% 0.81/1.18
% 0.81/1.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.81/1.18
% 0.81/1.18 initialclauses(
% 0.81/1.18 [ clause( 993, [ equidistant( X, Y, Y, X ) ] )
% 0.81/1.18 , clause( 994, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W
% 0.81/1.18 ) ), equidistant( Z, T, U, W ) ] )
% 0.81/1.18 , clause( 995, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.81/1.18 , clause( 996, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.81/1.18 , clause( 997, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.81/1.18 , clause( 998, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W
% 0.81/1.18 ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) )
% 0.81/1.18 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 0.81/1.18 equidistant( U, V0, W, V1 ) ] )
% 0.81/1.18 , clause( 999, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.81/1.18 , clause( 1000, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.81/1.18 Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 0.81/1.18 , clause( 1001, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.81/1.18 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 0.81/1.18 , clause( 1002, [ ~( between( 'lower_dimension_point_1',
% 0.81/1.18 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.81/1.18 , clause( 1003, [ ~( between( 'lower_dimension_point_2',
% 0.81/1.18 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.81/1.18 , clause( 1004, [ ~( between( 'lower_dimension_point_3',
% 0.81/1.18 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.81/1.18 , clause( 1005, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T,
% 0.81/1.18 Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U
% 0.81/1.18 , X ), between( U, X, T ), =( Y, Z ) ] )
% 0.81/1.18 , clause( 1006, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.81/1.18 ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 0.81/1.18 , clause( 1007, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.81/1.18 ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 0.81/1.18 , clause( 1008, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.81/1.18 ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ] )
% 0.81/1.18 , clause( 1009, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 0.81/1.18 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 0.81/1.18 continuous( X, Y, Z, W, T, U ), U ) ] )
% 0.81/1.18 , clause( 1010, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 0.81/1.18 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X,
% 0.81/1.18 W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 0.81/1.19 , clause( 1011, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 0.81/1.19 , clause( 1012, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 0.81/1.19 , clause( 1013, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 0.81/1.19 , clause( 1014, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 0.81/1.19 , Z, X ), between( Z, X, Y ) ] )
% 0.81/1.19 , clause( 1015, [ ~( colinear( x, x, y ) ), ~( colinear( x, y, x ) ), ~(
% 0.81/1.19 colinear( y, x, x ) ), =( x, y ) ] )
% 0.81/1.19 , clause( 1016, [ ~( colinear( x, x, y ) ), ~( colinear( x, y, x ) ), ~(
% 0.81/1.19 colinear( y, x, x ) ), ~( colinear( x, z, y ) ) ] )
% 0.81/1.19 ] ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 subsumption(
% 0.81/1.19 clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.81/1.19 , clause( 995, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.81/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.81/1.19 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 subsumption(
% 0.81/1.19 clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.81/1.19 , clause( 996, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.81/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.81/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 subsumption(
% 0.81/1.19 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.81/1.19 , clause( 997, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.81/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.81/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 subsumption(
% 0.81/1.19 clause( 18, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 0.81/1.19 , clause( 1011, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 0.81/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.81/1.19 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 subsumption(
% 0.81/1.19 clause( 19, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 0.81/1.19 , clause( 1012, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 0.81/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.81/1.19 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 subsumption(
% 0.81/1.19 clause( 20, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 0.81/1.19 , clause( 1013, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 0.81/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.81/1.19 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 eqswap(
% 0.81/1.19 clause( 1257, [ =( y, x ), ~( colinear( x, x, y ) ), ~( colinear( x, y, x )
% 0.81/1.19 ), ~( colinear( y, x, x ) ) ] )
% 0.81/1.19 , clause( 1015, [ ~( colinear( x, x, y ) ), ~( colinear( x, y, x ) ), ~(
% 0.81/1.19 colinear( y, x, x ) ), =( x, y ) ] )
% 0.81/1.19 , 3, substitution( 0, [] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 subsumption(
% 0.81/1.19 clause( 22, [ ~( colinear( x, x, y ) ), ~( colinear( x, y, x ) ), ~(
% 0.81/1.19 colinear( y, x, x ) ), =( y, x ) ] )
% 0.81/1.19 , clause( 1257, [ =( y, x ), ~( colinear( x, x, y ) ), ~( colinear( x, y, x
% 0.81/1.19 ) ), ~( colinear( y, x, x ) ) ] )
% 0.81/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.81/1.19 , 1 ), ==>( 3, 2 )] ) ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 paramod(
% 0.81/1.19 clause( 1442, [ ~( colinear( x, z, x ) ), ~( colinear( x, x, y ) ), ~(
% 0.81/1.19 colinear( x, y, x ) ), ~( colinear( y, x, x ) ), ~( colinear( x, x, y ) )
% 0.81/1.19 , ~( colinear( x, y, x ) ), ~( colinear( y, x, x ) ) ] )
% 0.81/1.19 , clause( 22, [ ~( colinear( x, x, y ) ), ~( colinear( x, y, x ) ), ~(
% 0.81/1.19 colinear( y, x, x ) ), =( y, x ) ] )
% 0.81/1.19 , 3, clause( 1016, [ ~( colinear( x, x, y ) ), ~( colinear( x, y, x ) ),
% 0.81/1.19 ~( colinear( y, x, x ) ), ~( colinear( x, z, y ) ) ] )
% 0.81/1.19 , 3, 4, substitution( 0, [] ), substitution( 1, [] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 factor(
% 0.81/1.19 clause( 1452, [ ~( colinear( x, z, x ) ), ~( colinear( x, x, y ) ), ~(
% 0.81/1.19 colinear( x, y, x ) ), ~( colinear( y, x, x ) ), ~( colinear( x, y, x ) )
% 0.81/1.19 , ~( colinear( y, x, x ) ) ] )
% 0.81/1.19 , clause( 1442, [ ~( colinear( x, z, x ) ), ~( colinear( x, x, y ) ), ~(
% 0.81/1.19 colinear( x, y, x ) ), ~( colinear( y, x, x ) ), ~( colinear( x, x, y ) )
% 0.81/1.19 , ~( colinear( x, y, x ) ), ~( colinear( y, x, x ) ) ] )
% 0.81/1.19 , 1, 4, substitution( 0, [] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 factor(
% 0.81/1.19 clause( 1453, [ ~( colinear( x, z, x ) ), ~( colinear( x, x, y ) ), ~(
% 0.81/1.19 colinear( x, y, x ) ), ~( colinear( y, x, x ) ), ~( colinear( y, x, x ) )
% 0.81/1.19 ] )
% 0.81/1.19 , clause( 1452, [ ~( colinear( x, z, x ) ), ~( colinear( x, x, y ) ), ~(
% 0.81/1.19 colinear( x, y, x ) ), ~( colinear( y, x, x ) ), ~( colinear( x, y, x ) )
% 0.81/1.19 , ~( colinear( y, x, x ) ) ] )
% 0.81/1.19 , 2, 4, substitution( 0, [] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 factor(
% 0.81/1.19 clause( 1454, [ ~( colinear( x, z, x ) ), ~( colinear( x, x, y ) ), ~(
% 0.81/1.19 colinear( x, y, x ) ), ~( colinear( y, x, x ) ) ] )
% 0.81/1.19 , clause( 1453, [ ~( colinear( x, z, x ) ), ~( colinear( x, x, y ) ), ~(
% 0.81/1.19 colinear( x, y, x ) ), ~( colinear( y, x, x ) ), ~( colinear( y, x, x ) )
% 0.81/1.19 ] )
% 0.81/1.19 , 3, 4, substitution( 0, [] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 subsumption(
% 0.81/1.19 clause( 23, [ ~( colinear( x, x, y ) ), ~( colinear( x, y, x ) ), ~(
% 0.81/1.19 colinear( y, x, x ) ), ~( colinear( x, z, x ) ) ] )
% 0.81/1.19 , clause( 1454, [ ~( colinear( x, z, x ) ), ~( colinear( x, x, y ) ), ~(
% 0.81/1.19 colinear( x, y, x ) ), ~( colinear( y, x, x ) ) ] )
% 0.81/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2
% 0.81/1.19 , 1 ), ==>( 3, 2 )] ) ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 eqswap(
% 0.81/1.19 clause( 1475, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 0.81/1.19 , clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.81/1.19 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 resolution(
% 0.81/1.19 clause( 1476, [ =( extension( X, Y, Z, Z ), Y ) ] )
% 0.81/1.19 , clause( 1475, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 0.81/1.19 , 1, clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.81/1.19 , 0, substitution( 0, [ :=( X, Y ), :=( Y, extension( X, Y, Z, Z ) ), :=( Z
% 0.81/1.19 , Z )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, Z
% 0.81/1.19 )] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 subsumption(
% 0.81/1.19 clause( 145, [ =( extension( Y, X, Z, Z ), X ) ] )
% 0.81/1.19 , clause( 1476, [ =( extension( X, Y, Z, Z ), Y ) ] )
% 0.81/1.19 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.81/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 paramod(
% 0.81/1.19 clause( 1479, [ between( X, Y, Y ) ] )
% 0.81/1.19 , clause( 145, [ =( extension( Y, X, Z, Z ), X ) ] )
% 0.81/1.19 , 0, clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.81/1.19 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 0.81/1.19 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 subsumption(
% 0.81/1.19 clause( 153, [ between( X, Y, Y ) ] )
% 0.81/1.19 , clause( 1479, [ between( X, Y, Y ) ] )
% 0.81/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.19 )] ) ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 resolution(
% 0.81/1.19 clause( 1480, [ colinear( X, Y, Y ) ] )
% 0.81/1.19 , clause( 18, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 0.81/1.19 , 0, clause( 153, [ between( X, Y, Y ) ] )
% 0.81/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] ),
% 0.81/1.19 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 subsumption(
% 0.81/1.19 clause( 156, [ colinear( X, Y, Y ) ] )
% 0.81/1.19 , clause( 1480, [ colinear( X, Y, Y ) ] )
% 0.81/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.19 )] ) ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 resolution(
% 0.81/1.19 clause( 1481, [ colinear( Y, X, Y ) ] )
% 0.81/1.19 , clause( 19, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 0.81/1.19 , 0, clause( 153, [ between( X, Y, Y ) ] )
% 0.81/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] ),
% 0.81/1.19 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 subsumption(
% 0.81/1.19 clause( 157, [ colinear( X, Y, X ) ] )
% 0.81/1.19 , clause( 1481, [ colinear( Y, X, Y ) ] )
% 0.81/1.19 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.19 )] ) ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 resolution(
% 0.81/1.19 clause( 1482, [ colinear( Y, Y, X ) ] )
% 0.81/1.19 , clause( 20, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 0.81/1.19 , 0, clause( 153, [ between( X, Y, Y ) ] )
% 0.81/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] ),
% 0.81/1.19 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 subsumption(
% 0.81/1.19 clause( 158, [ colinear( X, X, Y ) ] )
% 0.81/1.19 , clause( 1482, [ colinear( Y, Y, X ) ] )
% 0.81/1.19 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.19 )] ) ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 resolution(
% 0.81/1.19 clause( 1484, [ ~( colinear( x, y, x ) ), ~( colinear( y, x, x ) ), =( y, x
% 0.81/1.19 ) ] )
% 0.81/1.19 , clause( 22, [ ~( colinear( x, x, y ) ), ~( colinear( x, y, x ) ), ~(
% 0.81/1.19 colinear( y, x, x ) ), =( y, x ) ] )
% 0.81/1.19 , 0, clause( 158, [ colinear( X, X, Y ) ] )
% 0.81/1.19 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, y )] )
% 0.81/1.19 ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 resolution(
% 0.81/1.19 clause( 1485, [ ~( colinear( y, x, x ) ), =( y, x ) ] )
% 0.81/1.19 , clause( 1484, [ ~( colinear( x, y, x ) ), ~( colinear( y, x, x ) ), =( y
% 0.81/1.19 , x ) ] )
% 0.81/1.19 , 0, clause( 157, [ colinear( X, Y, X ) ] )
% 0.81/1.19 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, y )] )
% 0.81/1.19 ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 resolution(
% 0.81/1.19 clause( 1486, [ =( y, x ) ] )
% 0.81/1.19 , clause( 1485, [ ~( colinear( y, x, x ) ), =( y, x ) ] )
% 0.81/1.19 , 0, clause( 156, [ colinear( X, Y, Y ) ] )
% 0.81/1.19 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, y ), :=( Y, x )] )
% 0.81/1.19 ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 subsumption(
% 0.81/1.19 clause( 976, [ =( y, x ) ] )
% 0.81/1.19 , clause( 1486, [ =( y, x ) ] )
% 0.81/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 paramod(
% 0.81/1.19 clause( 1493, [ ~( colinear( x, x, x ) ), ~( colinear( x, x, y ) ), ~(
% 0.81/1.19 colinear( x, y, x ) ), ~( colinear( x, z, x ) ) ] )
% 0.81/1.19 , clause( 976, [ =( y, x ) ] )
% 0.81/1.19 , 0, clause( 23, [ ~( colinear( x, x, y ) ), ~( colinear( x, y, x ) ), ~(
% 0.81/1.19 colinear( y, x, x ) ), ~( colinear( x, z, x ) ) ] )
% 0.81/1.19 , 2, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 paramod(
% 0.81/1.19 clause( 1501, [ ~( colinear( x, x, x ) ), ~( colinear( x, x, x ) ), ~(
% 0.81/1.19 colinear( x, x, y ) ), ~( colinear( x, z, x ) ) ] )
% 0.81/1.19 , clause( 976, [ =( y, x ) ] )
% 0.81/1.19 , 0, clause( 1493, [ ~( colinear( x, x, x ) ), ~( colinear( x, x, y ) ),
% 0.81/1.19 ~( colinear( x, y, x ) ), ~( colinear( x, z, x ) ) ] )
% 0.81/1.19 , 2, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 paramod(
% 0.81/1.19 clause( 1506, [ ~( colinear( x, x, x ) ), ~( colinear( x, x, x ) ), ~(
% 0.81/1.19 colinear( x, x, x ) ), ~( colinear( x, z, x ) ) ] )
% 0.81/1.19 , clause( 976, [ =( y, x ) ] )
% 0.81/1.19 , 0, clause( 1501, [ ~( colinear( x, x, x ) ), ~( colinear( x, x, x ) ),
% 0.81/1.19 ~( colinear( x, x, y ) ), ~( colinear( x, z, x ) ) ] )
% 0.81/1.19 , 2, 4, substitution( 0, [] ), substitution( 1, [] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 factor(
% 0.81/1.19 clause( 1507, [ ~( colinear( x, x, x ) ), ~( colinear( x, x, x ) ), ~(
% 0.81/1.19 colinear( x, z, x ) ) ] )
% 0.81/1.19 , clause( 1506, [ ~( colinear( x, x, x ) ), ~( colinear( x, x, x ) ), ~(
% 0.81/1.19 colinear( x, x, x ) ), ~( colinear( x, z, x ) ) ] )
% 0.81/1.19 , 0, 1, substitution( 0, [] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 factor(
% 0.81/1.19 clause( 1508, [ ~( colinear( x, x, x ) ), ~( colinear( x, z, x ) ) ] )
% 0.81/1.19 , clause( 1507, [ ~( colinear( x, x, x ) ), ~( colinear( x, x, x ) ), ~(
% 0.81/1.19 colinear( x, z, x ) ) ] )
% 0.81/1.19 , 0, 1, substitution( 0, [] )).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 resolution(
% 0.81/1.19 clause( 1510, [ ~( colinear( x, x, x ) ) ] )
% 0.81/1.19 , clause( 1508, [ ~( colinear( x, x, x ) ), ~( colinear( x, z, x ) ) ] )
% 0.81/1.19 , 1, clause( 157, [ colinear( X, Y, X ) ] )
% 0.81/1.19 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, z )] )
% 0.81/1.19 ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 subsumption(
% 0.81/1.19 clause( 990, [ ~( colinear( x, x, x ) ) ] )
% 0.81/1.19 , clause( 1510, [ ~( colinear( x, x, x ) ) ] )
% 0.81/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 resolution(
% 0.81/1.19 clause( 1511, [] )
% 0.81/1.19 , clause( 990, [ ~( colinear( x, x, x ) ) ] )
% 0.81/1.19 , 0, clause( 156, [ colinear( X, Y, Y ) ] )
% 0.81/1.19 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, x )] )
% 0.81/1.19 ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 subsumption(
% 0.81/1.19 clause( 991, [] )
% 0.81/1.19 , clause( 1511, [] )
% 0.81/1.19 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 end.
% 0.81/1.19
% 0.81/1.19 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.81/1.19
% 0.81/1.19 Memory use:
% 0.81/1.19
% 0.81/1.19 space for terms: 28851
% 0.81/1.19 space for clauses: 51642
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 clauses generated: 5624
% 0.81/1.19 clauses kept: 992
% 0.81/1.19 clauses selected: 72
% 0.81/1.19 clauses deleted: 5
% 0.81/1.19 clauses inuse deleted: 0
% 0.81/1.19
% 0.81/1.19 subsentry: 17739
% 0.81/1.19 literals s-matched: 14297
% 0.81/1.19 literals matched: 11923
% 0.81/1.19 full subsumption: 7406
% 0.81/1.19
% 0.81/1.19 checksum: 1198574422
% 0.81/1.19
% 0.81/1.19
% 0.81/1.19 Bliksem ended
%------------------------------------------------------------------------------