TSTP Solution File: GEO002-4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO002-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 02:50:41 EDT 2022
% Result : Unsatisfiable 0.44s 1.11s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO002-4 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n016.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 09:27:07 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.44/1.10 *** allocated 10000 integers for termspace/termends
% 0.44/1.10 *** allocated 10000 integers for clauses
% 0.44/1.10 *** allocated 10000 integers for justifications
% 0.44/1.10 Bliksem 1.12
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 Automatic Strategy Selection
% 0.44/1.10
% 0.44/1.10 Clauses:
% 0.44/1.10 [
% 0.44/1.10 [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X, Y, T ) ]
% 0.44/1.10 ,
% 0.44/1.10 [ ~( equidistant( X, Y, Z, Z ) ), equalish( X, Y ) ],
% 0.44/1.10 [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( X,
% 0.44/1.10 'outer_pasch'( Y, X, T, U, Z ), T ) ],
% 0.44/1.10 [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( U, Y,
% 0.44/1.10 'outer_pasch'( Y, X, T, U, Z ) ) ],
% 0.44/1.10 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.44/1.10 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.44/1.10 [ ~( equalish( X, Y ) ), ~( between( Z, T, X ) ), between( Z, T, Y ) ]
% 0.44/1.10 ,
% 0.44/1.10 [ ~( between( a, a, b ) ) ]
% 0.44/1.10 ] .
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 percentage equality = 0.000000, percentage horn = 1.000000
% 0.44/1.10 This is a near-Horn, non-equality problem
% 0.44/1.10
% 0.44/1.10
% 0.44/1.10 Options Used:
% 0.44/1.10
% 0.44/1.10 useres = 1
% 0.44/1.10 useparamod = 0
% 0.44/1.10 useeqrefl = 0
% 0.44/1.10 useeqfact = 0
% 0.44/1.10 usefactor = 1
% 0.44/1.10 usesimpsplitting = 0
% 0.44/1.10 usesimpdemod = 0
% 0.44/1.10 usesimpres = 4
% 0.44/1.10
% 0.44/1.10 resimpinuse = 1000
% 0.44/1.10 resimpclauses = 20000
% 0.44/1.10 substype = standard
% 0.44/1.10 backwardsubs = 1
% 0.44/1.10 selectoldest = 5
% 0.44/1.10
% 0.44/1.10 litorderings [0] = split
% 0.44/1.10 litorderings [1] = liftord
% 0.44/1.10
% 0.44/1.10 termordering = none
% 0.44/1.10
% 0.44/1.10 litapriori = 1
% 0.44/1.10 termapriori = 0
% 0.44/1.10 litaposteriori = 0
% 0.44/1.10 termaposteriori = 0
% 0.44/1.10 demodaposteriori = 0
% 0.44/1.10 ordereqreflfact = 0
% 0.44/1.10
% 0.44/1.10 litselect = negative
% 0.44/1.10
% 0.44/1.10 maxweight = 30000
% 0.44/1.10 maxdepth = 30000
% 0.44/1.10 maxlength = 115
% 0.44/1.10 maxnrvars = 195
% 0.44/1.10 excuselevel = 0
% 0.44/1.10 increasemaxweight = 0
% 0.44/1.10
% 0.44/1.10 maxselected = 10000000
% 0.44/1.10 maxnrclauses = 10000000
% 0.44/1.10
% 0.44/1.10 showgenerated = 0
% 0.44/1.10 showkept = 0
% 0.44/1.10 showselected = 0
% 0.44/1.10 showdeleted = 0
% 0.44/1.10 showresimp = 1
% 0.44/1.10 showstatus = 2000
% 0.44/1.10
% 0.44/1.10 prologoutput = 1
% 0.44/1.10 nrgoals = 5000000
% 0.44/1.10 totalproof = 1
% 0.44/1.10
% 0.44/1.10 Symbols occurring in the translation:
% 0.44/1.10
% 0.44/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.10 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.44/1.10 ! [4, 1] (w:1, o:16, a:1, s:1, b:0),
% 0.44/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.11 between [42, 3] (w:1, o:47, a:1, s:1, b:0),
% 0.44/1.11 equidistant [44, 4] (w:1, o:48, a:1, s:1, b:0),
% 0.44/1.11 equalish [45, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.44/1.11 'outer_pasch' [47, 5] (w:1, o:50, a:1, s:1, b:0),
% 0.44/1.11 extension [48, 4] (w:1, o:49, a:1, s:1, b:0),
% 0.44/1.11 a [49, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.44/1.11 b [50, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 Starting Search:
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 Bliksems!, er is een bewijs:
% 0.44/1.11 % SZS status Unsatisfiable
% 0.44/1.11 % SZS output start Refutation
% 0.44/1.11
% 0.44/1.11 clause( 0, [ ~( between( X, Y, Z ) ), between( X, Y, T ), ~( between( Y, T
% 0.44/1.11 , Z ) ) ] )
% 0.44/1.11 .
% 0.44/1.11 clause( 1, [ equalish( X, Y ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 0.44/1.11 .
% 0.44/1.11 clause( 2, [ ~( between( X, Y, Z ) ), between( X, 'outer_pasch'( Y, X, T, U
% 0.44/1.11 , Z ), T ), ~( between( T, Z, U ) ) ] )
% 0.44/1.11 .
% 0.44/1.11 clause( 3, [ ~( between( X, Y, Z ) ), between( U, Y, 'outer_pasch'( Y, X, T
% 0.44/1.11 , U, Z ) ), ~( between( T, Z, U ) ) ] )
% 0.44/1.11 .
% 0.44/1.11 clause( 4, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.44/1.11 .
% 0.44/1.11 clause( 5, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.44/1.11 .
% 0.44/1.11 clause( 6, [ ~( equalish( X, Y ) ), between( Z, T, Y ), ~( between( Z, T, X
% 0.44/1.11 ) ) ] )
% 0.44/1.11 .
% 0.44/1.11 clause( 7, [ ~( between( a, a, b ) ) ] )
% 0.44/1.11 .
% 0.44/1.11 clause( 8, [ between( X, X, X ), ~( between( X, X, Y ) ) ] )
% 0.44/1.11 .
% 0.44/1.11 clause( 11, [ between( X, X, X ) ] )
% 0.44/1.11 .
% 0.44/1.11 clause( 13, [ equalish( X, extension( Y, X, Z, Z ) ) ] )
% 0.44/1.11 .
% 0.44/1.11 clause( 14, [ between( X, X, Y ), ~( equalish( X, Y ) ) ] )
% 0.44/1.11 .
% 0.44/1.11 clause( 16, [ between( X, X, extension( Y, X, Z, Z ) ) ] )
% 0.44/1.11 .
% 0.44/1.11 clause( 21, [ between( X, Y, Y ), ~( between( X, Y, extension( Z, Y, T, T )
% 0.44/1.11 ) ) ] )
% 0.44/1.11 .
% 0.44/1.11 clause( 35, [ between( X, Y, Y ) ] )
% 0.44/1.11 .
% 0.44/1.11 clause( 36, [ between( Z, Y, 'outer_pasch'( Y, X, T, Z, Z ) ), ~( between(
% 0.44/1.11 X, Y, Z ) ) ] )
% 0.44/1.11 .
% 0.44/1.11 clause( 37, [ between( X, 'outer_pasch'( Y, X, T, Z, Z ), T ), ~( between(
% 0.44/1.11 X, Y, Z ) ) ] )
% 0.44/1.11 .
% 0.44/1.11 clause( 74, [ between( X, X, 'outer_pasch'( X, Y, Z, X, X ) ) ] )
% 0.44/1.11 .
% 0.44/1.11 clause( 113, [ between( X, 'outer_pasch'( Y, X, Z, Y, Y ), Z ) ] )
% 0.44/1.11 .
% 0.44/1.11 clause( 124, [ between( X, Y, 'outer_pasch'( T, Y, Z, T, T ) ), ~( between(
% 0.44/1.11 X, Y, Z ) ) ] )
% 0.44/1.11 .
% 0.44/1.11 clause( 178, [ between( X, Y, 'outer_pasch'( Z, Y, Y, Z, Z ) ) ] )
% 0.44/1.11 .
% 0.44/1.11 clause( 190, [ between( X, Y, T ), ~( between( X, Y, 'outer_pasch'( Z, T, T
% 0.44/1.11 , Z, Z ) ) ) ] )
% 0.44/1.11 .
% 0.44/1.11 clause( 225, [ between( X, X, Y ) ] )
% 0.44/1.11 .
% 0.44/1.11 clause( 235, [] )
% 0.44/1.11 .
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 % SZS output end Refutation
% 0.44/1.11 found a proof!
% 0.44/1.11
% 0.44/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.11
% 0.44/1.11 initialclauses(
% 0.44/1.11 [ clause( 237, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between(
% 0.44/1.11 X, Y, T ) ] )
% 0.44/1.11 , clause( 238, [ ~( equidistant( X, Y, Z, Z ) ), equalish( X, Y ) ] )
% 0.44/1.11 , clause( 239, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between(
% 0.44/1.11 X, 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 0.44/1.11 , clause( 240, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between(
% 0.44/1.11 U, Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 0.44/1.11 , clause( 241, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.44/1.11 , clause( 242, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.44/1.11 , clause( 243, [ ~( equalish( X, Y ) ), ~( between( Z, T, X ) ), between( Z
% 0.44/1.11 , T, Y ) ] )
% 0.44/1.11 , clause( 244, [ ~( between( a, a, b ) ) ] )
% 0.44/1.11 ] ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 subsumption(
% 0.44/1.11 clause( 0, [ ~( between( X, Y, Z ) ), between( X, Y, T ), ~( between( Y, T
% 0.44/1.11 , Z ) ) ] )
% 0.44/1.11 , clause( 237, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between(
% 0.44/1.11 X, Y, T ) ] )
% 0.44/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.44/1.11 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 subsumption(
% 0.44/1.11 clause( 1, [ equalish( X, Y ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 0.44/1.11 , clause( 238, [ ~( equidistant( X, Y, Z, Z ) ), equalish( X, Y ) ] )
% 0.44/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.44/1.11 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 subsumption(
% 0.44/1.11 clause( 2, [ ~( between( X, Y, Z ) ), between( X, 'outer_pasch'( Y, X, T, U
% 0.44/1.11 , Z ), T ), ~( between( T, Z, U ) ) ] )
% 0.44/1.11 , clause( 239, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between(
% 0.44/1.11 X, 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 0.44/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.44/1.11 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] )
% 0.44/1.11 ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 subsumption(
% 0.44/1.11 clause( 3, [ ~( between( X, Y, Z ) ), between( U, Y, 'outer_pasch'( Y, X, T
% 0.44/1.11 , U, Z ) ), ~( between( T, Z, U ) ) ] )
% 0.44/1.11 , clause( 240, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between(
% 0.44/1.11 U, Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 0.44/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.44/1.11 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] )
% 0.44/1.11 ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 subsumption(
% 0.44/1.11 clause( 4, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.44/1.11 , clause( 241, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.44/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.44/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 subsumption(
% 0.44/1.11 clause( 5, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.44/1.11 , clause( 242, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.44/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.44/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 subsumption(
% 0.44/1.11 clause( 6, [ ~( equalish( X, Y ) ), between( Z, T, Y ), ~( between( Z, T, X
% 0.44/1.11 ) ) ] )
% 0.44/1.11 , clause( 243, [ ~( equalish( X, Y ) ), ~( between( Z, T, X ) ), between( Z
% 0.44/1.11 , T, Y ) ] )
% 0.44/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.44/1.11 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 subsumption(
% 0.44/1.11 clause( 7, [ ~( between( a, a, b ) ) ] )
% 0.44/1.11 , clause( 244, [ ~( between( a, a, b ) ) ] )
% 0.44/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 factor(
% 0.44/1.11 clause( 264, [ ~( between( X, X, Y ) ), between( X, X, X ) ] )
% 0.44/1.11 , clause( 0, [ ~( between( X, Y, Z ) ), between( X, Y, T ), ~( between( Y,
% 0.44/1.11 T, Z ) ) ] )
% 0.44/1.11 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y ), :=( T, X )] )
% 0.44/1.11 ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 subsumption(
% 0.44/1.11 clause( 8, [ between( X, X, X ), ~( between( X, X, Y ) ) ] )
% 0.44/1.11 , clause( 264, [ ~( between( X, X, Y ) ), between( X, X, X ) ] )
% 0.44/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.44/1.11 ), ==>( 1, 0 )] ) ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 resolution(
% 0.44/1.11 clause( 265, [ between( X, X, X ) ] )
% 0.44/1.11 , clause( 8, [ between( X, X, X ), ~( between( X, X, Y ) ) ] )
% 0.44/1.11 , 1, clause( 4, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.44/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, extension( X, X, Y, Z ) )] ),
% 0.44/1.11 substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 subsumption(
% 0.44/1.11 clause( 11, [ between( X, X, X ) ] )
% 0.44/1.11 , clause( 265, [ between( X, X, X ) ] )
% 0.44/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 resolution(
% 0.44/1.11 clause( 266, [ equalish( X, extension( Y, X, Z, Z ) ) ] )
% 0.44/1.11 , clause( 1, [ equalish( X, Y ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 0.44/1.11 , 1, clause( 5, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.44/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, extension( Y, X, Z, Z ) ), :=( Z
% 0.44/1.11 , Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z
% 0.44/1.11 )] )).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 subsumption(
% 0.44/1.11 clause( 13, [ equalish( X, extension( Y, X, Z, Z ) ) ] )
% 0.44/1.11 , clause( 266, [ equalish( X, extension( Y, X, Z, Z ) ) ] )
% 0.44/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.44/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 resolution(
% 0.44/1.11 clause( 267, [ ~( equalish( X, Y ) ), between( X, X, Y ) ] )
% 0.44/1.11 , clause( 6, [ ~( equalish( X, Y ) ), between( Z, T, Y ), ~( between( Z, T
% 0.44/1.11 , X ) ) ] )
% 0.44/1.11 , 2, clause( 11, [ between( X, X, X ) ] )
% 0.44/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X ), :=( T, X )] ),
% 0.44/1.11 substitution( 1, [ :=( X, X )] )).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 subsumption(
% 0.44/1.11 clause( 14, [ between( X, X, Y ), ~( equalish( X, Y ) ) ] )
% 0.44/1.11 , clause( 267, [ ~( equalish( X, Y ) ), between( X, X, Y ) ] )
% 0.44/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.44/1.11 ), ==>( 1, 0 )] ) ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 resolution(
% 0.44/1.11 clause( 268, [ between( X, X, extension( Y, X, Z, Z ) ) ] )
% 0.44/1.11 , clause( 14, [ between( X, X, Y ), ~( equalish( X, Y ) ) ] )
% 0.44/1.11 , 1, clause( 13, [ equalish( X, extension( Y, X, Z, Z ) ) ] )
% 0.44/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, extension( Y, X, Z, Z ) )] ),
% 0.44/1.11 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 subsumption(
% 0.44/1.11 clause( 16, [ between( X, X, extension( Y, X, Z, Z ) ) ] )
% 0.44/1.11 , clause( 268, [ between( X, X, extension( Y, X, Z, Z ) ) ] )
% 0.44/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.44/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 resolution(
% 0.44/1.11 clause( 270, [ ~( between( X, Y, extension( Z, Y, T, T ) ) ), between( X, Y
% 0.44/1.11 , Y ) ] )
% 0.44/1.11 , clause( 0, [ ~( between( X, Y, Z ) ), between( X, Y, T ), ~( between( Y,
% 0.44/1.11 T, Z ) ) ] )
% 0.44/1.11 , 2, clause( 16, [ between( X, X, extension( Y, X, Z, Z ) ) ] )
% 0.44/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, extension( Z, Y, T,
% 0.44/1.11 T ) ), :=( T, Y )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, T
% 0.44/1.11 )] )).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 subsumption(
% 0.44/1.11 clause( 21, [ between( X, Y, Y ), ~( between( X, Y, extension( Z, Y, T, T )
% 0.44/1.11 ) ) ] )
% 0.44/1.11 , clause( 270, [ ~( between( X, Y, extension( Z, Y, T, T ) ) ), between( X
% 0.44/1.11 , Y, Y ) ] )
% 0.44/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.44/1.11 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 resolution(
% 0.44/1.11 clause( 271, [ between( X, Y, Y ) ] )
% 0.44/1.11 , clause( 21, [ between( X, Y, Y ), ~( between( X, Y, extension( Z, Y, T, T
% 0.44/1.11 ) ) ) ] )
% 0.44/1.11 , 1, clause( 4, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.44/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X ), :=( T, Z )] ),
% 0.44/1.11 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] )).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 subsumption(
% 0.44/1.11 clause( 35, [ between( X, Y, Y ) ] )
% 0.44/1.11 , clause( 271, [ between( X, Y, Y ) ] )
% 0.44/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.11 )] ) ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 resolution(
% 0.44/1.11 clause( 273, [ ~( between( X, Y, Z ) ), between( Z, Y, 'outer_pasch'( Y, X
% 0.44/1.11 , T, Z, Z ) ) ] )
% 0.44/1.11 , clause( 3, [ ~( between( X, Y, Z ) ), between( U, Y, 'outer_pasch'( Y, X
% 0.44/1.11 , T, U, Z ) ), ~( between( T, Z, U ) ) ] )
% 0.44/1.11 , 2, clause( 35, [ between( X, Y, Y ) ] )
% 0.44/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.44/1.11 :=( U, Z )] ), substitution( 1, [ :=( X, T ), :=( Y, Z )] )).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 subsumption(
% 0.44/1.11 clause( 36, [ between( Z, Y, 'outer_pasch'( Y, X, T, Z, Z ) ), ~( between(
% 0.44/1.11 X, Y, Z ) ) ] )
% 0.44/1.11 , clause( 273, [ ~( between( X, Y, Z ) ), between( Z, Y, 'outer_pasch'( Y,
% 0.44/1.11 X, T, Z, Z ) ) ] )
% 0.44/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.44/1.11 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 resolution(
% 0.44/1.11 clause( 275, [ ~( between( X, Y, Z ) ), between( X, 'outer_pasch'( Y, X, T
% 0.44/1.11 , Z, Z ), T ) ] )
% 0.44/1.11 , clause( 2, [ ~( between( X, Y, Z ) ), between( X, 'outer_pasch'( Y, X, T
% 0.44/1.11 , U, Z ), T ), ~( between( T, Z, U ) ) ] )
% 0.44/1.11 , 2, clause( 35, [ between( X, Y, Y ) ] )
% 0.44/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 0.44/1.11 :=( U, Z )] ), substitution( 1, [ :=( X, T ), :=( Y, Z )] )).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 subsumption(
% 0.44/1.11 clause( 37, [ between( X, 'outer_pasch'( Y, X, T, Z, Z ), T ), ~( between(
% 0.44/1.11 X, Y, Z ) ) ] )
% 0.44/1.11 , clause( 275, [ ~( between( X, Y, Z ) ), between( X, 'outer_pasch'( Y, X,
% 0.44/1.11 T, Z, Z ), T ) ] )
% 0.44/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.44/1.11 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 resolution(
% 0.44/1.11 clause( 276, [ between( X, X, 'outer_pasch'( X, Y, Z, X, X ) ) ] )
% 0.44/1.11 , clause( 36, [ between( Z, Y, 'outer_pasch'( Y, X, T, Z, Z ) ), ~( between(
% 0.44/1.11 X, Y, Z ) ) ] )
% 0.44/1.11 , 1, clause( 35, [ between( X, Y, Y ) ] )
% 0.44/1.11 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X ), :=( T, Z )] ),
% 0.44/1.11 substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 subsumption(
% 0.44/1.11 clause( 74, [ between( X, X, 'outer_pasch'( X, Y, Z, X, X ) ) ] )
% 0.44/1.11 , clause( 276, [ between( X, X, 'outer_pasch'( X, Y, Z, X, X ) ) ] )
% 0.44/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.44/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 resolution(
% 0.44/1.11 clause( 277, [ between( X, 'outer_pasch'( Y, X, Z, Y, Y ), Z ) ] )
% 0.44/1.11 , clause( 37, [ between( X, 'outer_pasch'( Y, X, T, Z, Z ), T ), ~( between(
% 0.44/1.11 X, Y, Z ) ) ] )
% 0.44/1.11 , 1, clause( 35, [ between( X, Y, Y ) ] )
% 0.44/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Z )] ),
% 0.44/1.11 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 subsumption(
% 0.44/1.11 clause( 113, [ between( X, 'outer_pasch'( Y, X, Z, Y, Y ), Z ) ] )
% 0.44/1.11 , clause( 277, [ between( X, 'outer_pasch'( Y, X, Z, Y, Y ), Z ) ] )
% 0.44/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.44/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 resolution(
% 0.44/1.11 clause( 279, [ ~( between( X, Y, Z ) ), between( X, Y, 'outer_pasch'( T, Y
% 0.44/1.11 , Z, T, T ) ) ] )
% 0.44/1.11 , clause( 0, [ ~( between( X, Y, Z ) ), between( X, Y, T ), ~( between( Y,
% 0.44/1.11 T, Z ) ) ] )
% 0.44/1.11 , 2, clause( 113, [ between( X, 'outer_pasch'( Y, X, Z, Y, Y ), Z ) ] )
% 0.44/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 0.44/1.11 'outer_pasch'( T, Y, Z, T, T ) )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 0.44/1.11 , T ), :=( Z, Z )] )).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 subsumption(
% 0.44/1.11 clause( 124, [ between( X, Y, 'outer_pasch'( T, Y, Z, T, T ) ), ~( between(
% 0.44/1.11 X, Y, Z ) ) ] )
% 0.44/1.11 , clause( 279, [ ~( between( X, Y, Z ) ), between( X, Y, 'outer_pasch'( T,
% 0.44/1.11 Y, Z, T, T ) ) ] )
% 0.44/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.44/1.11 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 resolution(
% 0.44/1.11 clause( 280, [ between( X, Y, 'outer_pasch'( Z, Y, Y, Z, Z ) ) ] )
% 0.44/1.11 , clause( 124, [ between( X, Y, 'outer_pasch'( T, Y, Z, T, T ) ), ~(
% 0.44/1.11 between( X, Y, Z ) ) ] )
% 0.44/1.11 , 1, clause( 35, [ between( X, Y, Y ) ] )
% 0.44/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Z )] ),
% 0.44/1.11 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 subsumption(
% 0.44/1.11 clause( 178, [ between( X, Y, 'outer_pasch'( Z, Y, Y, Z, Z ) ) ] )
% 0.44/1.11 , clause( 280, [ between( X, Y, 'outer_pasch'( Z, Y, Y, Z, Z ) ) ] )
% 0.44/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.44/1.11 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 resolution(
% 0.44/1.11 clause( 282, [ ~( between( X, Y, 'outer_pasch'( Z, T, T, Z, Z ) ) ),
% 0.44/1.11 between( X, Y, T ) ] )
% 0.44/1.11 , clause( 0, [ ~( between( X, Y, Z ) ), between( X, Y, T ), ~( between( Y,
% 0.44/1.11 T, Z ) ) ] )
% 0.44/1.11 , 2, clause( 178, [ between( X, Y, 'outer_pasch'( Z, Y, Y, Z, Z ) ) ] )
% 0.44/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, 'outer_pasch'( Z, T
% 0.44/1.11 , T, Z, Z ) ), :=( T, T )] ), substitution( 1, [ :=( X, Y ), :=( Y, T ),
% 0.44/1.11 :=( Z, Z )] )).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 subsumption(
% 0.44/1.11 clause( 190, [ between( X, Y, T ), ~( between( X, Y, 'outer_pasch'( Z, T, T
% 0.44/1.11 , Z, Z ) ) ) ] )
% 0.44/1.11 , clause( 282, [ ~( between( X, Y, 'outer_pasch'( Z, T, T, Z, Z ) ) ),
% 0.44/1.11 between( X, Y, T ) ] )
% 0.44/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 0.44/1.11 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 resolution(
% 0.44/1.11 clause( 283, [ between( X, X, Y ) ] )
% 0.44/1.11 , clause( 190, [ between( X, Y, T ), ~( between( X, Y, 'outer_pasch'( Z, T
% 0.44/1.11 , T, Z, Z ) ) ) ] )
% 0.44/1.11 , 1, clause( 74, [ between( X, X, 'outer_pasch'( X, Y, Z, X, X ) ) ] )
% 0.44/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, X ), :=( T, Y )] ),
% 0.44/1.11 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 subsumption(
% 0.44/1.11 clause( 225, [ between( X, X, Y ) ] )
% 0.44/1.11 , clause( 283, [ between( X, X, Y ) ] )
% 0.44/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.11 )] ) ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 resolution(
% 0.44/1.11 clause( 284, [] )
% 0.44/1.11 , clause( 7, [ ~( between( a, a, b ) ) ] )
% 0.44/1.11 , 0, clause( 225, [ between( X, X, Y ) ] )
% 0.44/1.11 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.44/1.11 ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 subsumption(
% 0.44/1.11 clause( 235, [] )
% 0.44/1.11 , clause( 284, [] )
% 0.44/1.11 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 end.
% 0.44/1.11
% 0.44/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.11
% 0.44/1.11 Memory use:
% 0.44/1.11
% 0.44/1.11 space for terms: 4938
% 0.44/1.11 space for clauses: 28931
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 clauses generated: 320
% 0.44/1.11 clauses kept: 236
% 0.44/1.11 clauses selected: 53
% 0.44/1.11 clauses deleted: 4
% 0.44/1.11 clauses inuse deleted: 0
% 0.44/1.11
% 0.44/1.11 subsentry: 327
% 0.44/1.11 literals s-matched: 186
% 0.44/1.11 literals matched: 168
% 0.44/1.11 full subsumption: 8
% 0.44/1.11
% 0.44/1.11 checksum: 2078349368
% 0.44/1.11
% 0.44/1.11
% 0.44/1.11 Bliksem ended
%------------------------------------------------------------------------------