TSTP Solution File: HEN006-4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HEN006-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 12:47:04 EDT 2022
% Result : Unsatisfiable 1.47s 1.83s
% Output : Refutation 1.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : HEN006-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n028.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 : Fri Jul 1 14:53:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.47/1.83 *** allocated 10000 integers for termspace/termends
% 1.47/1.83 *** allocated 10000 integers for clauses
% 1.47/1.83 *** allocated 10000 integers for justifications
% 1.47/1.83 Bliksem 1.12
% 1.47/1.83
% 1.47/1.83
% 1.47/1.83 Automatic Strategy Selection
% 1.47/1.83
% 1.47/1.83 Clauses:
% 1.47/1.83 [
% 1.47/1.83 [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ],
% 1.47/1.83 [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ],
% 1.47/1.83 [ 'less_equal'( divide( X, Y ), X ) ],
% 1.47/1.83 [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide( divide(
% 1.47/1.83 X, Z ), Y ) ) ],
% 1.47/1.83 [ 'less_equal'( zero, X ) ],
% 1.47/1.83 [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y ) ],
% 1.47/1.83 [ 'less_equal'( X, identity ) ],
% 1.47/1.83 [ =( divide( X, identity ), zero ) ],
% 1.47/1.83 [ =( divide( zero, X ), zero ) ],
% 1.47/1.83 [ =( divide( X, X ), zero ) ],
% 1.47/1.83 [ =( divide( a, zero ), a ) ],
% 1.47/1.83 [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ), 'less_equal'( X
% 1.47/1.83 , Z ) ],
% 1.47/1.83 [ 'less_equal'( divide( a, b ), d ) ],
% 1.47/1.83 [ ~( 'less_equal'( divide( a, d ), b ) ) ]
% 1.47/1.83 ] .
% 1.47/1.83
% 1.47/1.83
% 1.47/1.83 percentage equality = 0.350000, percentage horn = 1.000000
% 1.47/1.83 This is a problem with some equality
% 1.47/1.83
% 1.47/1.83
% 1.47/1.83
% 1.47/1.83 Options Used:
% 1.47/1.83
% 1.47/1.83 useres = 1
% 1.47/1.83 useparamod = 1
% 1.47/1.83 useeqrefl = 1
% 1.47/1.83 useeqfact = 1
% 1.47/1.83 usefactor = 1
% 1.47/1.83 usesimpsplitting = 0
% 1.47/1.83 usesimpdemod = 5
% 1.47/1.83 usesimpres = 3
% 1.47/1.83
% 1.47/1.83 resimpinuse = 1000
% 1.47/1.83 resimpclauses = 20000
% 1.47/1.83 substype = eqrewr
% 1.47/1.83 backwardsubs = 1
% 1.47/1.83 selectoldest = 5
% 1.47/1.83
% 1.47/1.83 litorderings [0] = split
% 1.47/1.83 litorderings [1] = extend the termordering, first sorting on arguments
% 1.47/1.83
% 1.47/1.83 termordering = kbo
% 1.47/1.83
% 1.47/1.83 litapriori = 0
% 1.47/1.83 termapriori = 1
% 1.47/1.83 litaposteriori = 0
% 1.47/1.83 termaposteriori = 0
% 1.47/1.83 demodaposteriori = 0
% 1.47/1.83 ordereqreflfact = 0
% 1.47/1.83
% 1.47/1.83 litselect = negord
% 1.47/1.83
% 1.47/1.83 maxweight = 15
% 1.47/1.83 maxdepth = 30000
% 1.47/1.83 maxlength = 115
% 1.47/1.83 maxnrvars = 195
% 1.47/1.83 excuselevel = 1
% 1.47/1.83 increasemaxweight = 1
% 1.47/1.83
% 1.47/1.83 maxselected = 10000000
% 1.47/1.83 maxnrclauses = 10000000
% 1.47/1.83
% 1.47/1.83 showgenerated = 0
% 1.47/1.83 showkept = 0
% 1.47/1.83 showselected = 0
% 1.47/1.83 showdeleted = 0
% 1.47/1.83 showresimp = 1
% 1.47/1.83 showstatus = 2000
% 1.47/1.83
% 1.47/1.83 prologoutput = 1
% 1.47/1.83 nrgoals = 5000000
% 1.47/1.83 totalproof = 1
% 1.47/1.83
% 1.47/1.83 Symbols occurring in the translation:
% 1.47/1.83
% 1.47/1.83 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.47/1.83 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 1.47/1.83 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 1.47/1.83 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.47/1.83 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.47/1.83 'less_equal' [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 1.47/1.83 divide [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 1.47/1.83 zero [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.47/1.83 identity [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.47/1.83 a [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.47/1.83 b [47, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.47/1.83 d [48, 0] (w:1, o:16, a:1, s:1, b:0).
% 1.47/1.83
% 1.47/1.83
% 1.47/1.83 Starting Search:
% 1.47/1.83
% 1.47/1.83 Resimplifying inuse:
% 1.47/1.83 Done
% 1.47/1.83
% 1.47/1.83
% 1.47/1.83 Intermediate Status:
% 1.47/1.83 Generated: 15003
% 1.47/1.83 Kept: 2019
% 1.47/1.83 Inuse: 198
% 1.47/1.83 Deleted: 22
% 1.47/1.83 Deletedinuse: 10
% 1.47/1.83
% 1.47/1.83 Resimplifying inuse:
% 1.47/1.83 Done
% 1.47/1.83
% 1.47/1.83 Resimplifying inuse:
% 1.47/1.83 Done
% 1.47/1.83
% 1.47/1.83
% 1.47/1.83 Intermediate Status:
% 1.47/1.83 Generated: 43515
% 1.47/1.83 Kept: 4023
% 1.47/1.83 Inuse: 298
% 1.47/1.83 Deleted: 41
% 1.47/1.83 Deletedinuse: 11
% 1.47/1.83
% 1.47/1.83 Resimplifying inuse:
% 1.47/1.83 Done
% 1.47/1.83
% 1.47/1.83
% 1.47/1.83 Bliksems!, er is een bewijs:
% 1.47/1.83 % SZS status Unsatisfiable
% 1.47/1.83 % SZS output start Refutation
% 1.47/1.83
% 1.47/1.83 clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 1.47/1.83 .
% 1.47/1.83 clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 1.47/1.83 .
% 1.47/1.83 clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 1.47/1.83 .
% 1.47/1.83 clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 1.47/1.83 divide( X, Z ), Y ) ) ] )
% 1.47/1.83 .
% 1.47/1.83 clause( 4, [ 'less_equal'( zero, X ) ] )
% 1.47/1.83 .
% 1.47/1.83 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 1.47/1.83 ) ] )
% 1.47/1.83 .
% 1.47/1.83 clause( 9, [ =( divide( X, X ), zero ) ] )
% 1.47/1.83 .
% 1.47/1.83 clause( 11, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 1.47/1.83 'less_equal'( X, Z ) ] )
% 1.47/1.83 .
% 1.47/1.83 clause( 12, [ 'less_equal'( divide( a, b ), d ) ] )
% 1.47/1.83 .
% 1.47/1.83 clause( 13, [ ~( 'less_equal'( divide( a, d ), b ) ) ] )
% 1.47/1.83 .
% 1.47/1.83 clause( 16, [ =( divide( divide( a, b ), d ), zero ) ] )
% 1.47/1.83 .
% 1.47/1.83 clause( 19, [ 'less_equal'( X, X ) ] )
% 1.47/1.83 .
% 1.47/1.83 clause( 57, [ ~( =( Z, zero ) ), 'less_equal'( X, Y ), ~( 'less_equal'(
% 1.47/1.83 divide( X, Y ), Z ) ), ~( 'less_equal'( Z, divide( X, Y ) ) ) ] )
% 1.47/1.83 .
% 1.47/1.83 clause( 73, [ 'less_equal'( X, Y ), ~( 'less_equal'( divide( X, Y ), zero )
% 1.47/1.83 ) ] )
% 1.47/1.83 .
% 1.47/1.83 clause( 93, [ ~( 'less_equal'( divide( divide( X, Y ), Z ), T ) ),
% 1.47/1.83 'less_equal'( divide( divide( X, Z ), divide( Y, Z ) ), T ) ] )
% 1.47/1.83 .
% 1.47/1.83 clause( 103, [ ~( 'less_equal'( X, divide( Y, Z ) ) ), 'less_equal'( X, Y )
% 1.47/1.83 ] )
% 1.47/1.83 .
% 1.47/1.83 clause( 1059, [ ~( 'less_equal'( divide( a, d ), divide( b, X ) ) ) ] )
% 1.47/1.83 .
% 1.47/1.83 clause( 1323, [ ~( 'less_equal'( divide( divide( a, d ), divide( b, X ) ),
% 1.47/1.83 zero ) ) ] )
% 1.47/1.83 .
% 1.47/1.83 clause( 5017, [] )
% 1.47/1.83 .
% 1.47/1.83
% 1.47/1.83
% 1.47/1.83 % SZS output end Refutation
% 1.47/1.83 found a proof!
% 1.47/1.83
% 1.47/1.83 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.47/1.83
% 1.47/1.83 initialclauses(
% 1.47/1.83 [ clause( 5019, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 1.47/1.83 , clause( 5020, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 1.47/1.83 , clause( 5021, [ 'less_equal'( divide( X, Y ), X ) ] )
% 1.47/1.83 , clause( 5022, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 1.47/1.83 divide( divide( X, Z ), Y ) ) ] )
% 1.47/1.83 , clause( 5023, [ 'less_equal'( zero, X ) ] )
% 1.47/1.83 , clause( 5024, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =(
% 1.47/1.83 X, Y ) ] )
% 1.47/1.83 , clause( 5025, [ 'less_equal'( X, identity ) ] )
% 1.47/1.83 , clause( 5026, [ =( divide( X, identity ), zero ) ] )
% 1.47/1.83 , clause( 5027, [ =( divide( zero, X ), zero ) ] )
% 1.47/1.83 , clause( 5028, [ =( divide( X, X ), zero ) ] )
% 1.47/1.83 , clause( 5029, [ =( divide( a, zero ), a ) ] )
% 1.47/1.83 , clause( 5030, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 1.47/1.83 'less_equal'( X, Z ) ] )
% 1.47/1.83 , clause( 5031, [ 'less_equal'( divide( a, b ), d ) ] )
% 1.47/1.83 , clause( 5032, [ ~( 'less_equal'( divide( a, d ), b ) ) ] )
% 1.47/1.83 ] ).
% 1.47/1.83
% 1.47/1.83
% 1.47/1.83
% 1.47/1.83 subsumption(
% 1.47/1.83 clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 1.47/1.83 , clause( 5019, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 1.47/1.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.47/1.83 ), ==>( 1, 1 )] ) ).
% 1.47/1.83
% 1.47/1.83
% 1.47/1.83 subsumption(
% 1.47/1.83 clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 1.47/1.83 , clause( 5020, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 1.47/1.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.47/1.83 ), ==>( 1, 1 )] ) ).
% 1.47/1.83
% 1.47/1.83
% 1.47/1.83 subsumption(
% 1.47/1.83 clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 1.47/1.83 , clause( 5021, [ 'less_equal'( divide( X, Y ), X ) ] )
% 1.47/1.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.47/1.83 )] ) ).
% 1.47/1.83
% 1.47/1.83
% 1.47/1.83 subsumption(
% 1.47/1.83 clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 1.47/1.83 divide( X, Z ), Y ) ) ] )
% 1.47/1.83 , clause( 5022, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 1.47/1.83 divide( divide( X, Z ), Y ) ) ] )
% 1.47/1.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.47/1.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.83
% 1.47/1.83
% 1.47/1.83 subsumption(
% 1.47/1.83 clause( 4, [ 'less_equal'( zero, X ) ] )
% 1.47/1.83 , clause( 5023, [ 'less_equal'( zero, X ) ] )
% 1.47/1.83 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.83
% 1.47/1.83
% 1.47/1.83 subsumption(
% 1.47/1.83 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 1.47/1.83 ) ] )
% 1.47/1.83 , clause( 5024, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =(
% 1.47/1.83 X, Y ) ] )
% 1.47/1.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.47/1.83 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.47/1.83
% 1.47/1.83
% 1.47/1.83 subsumption(
% 1.47/1.83 clause( 9, [ =( divide( X, X ), zero ) ] )
% 1.47/1.83 , clause( 5028, [ =( divide( X, X ), zero ) ] )
% 1.47/1.83 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.83
% 1.47/1.83
% 1.47/1.83 subsumption(
% 1.47/1.83 clause( 11, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 1.47/1.83 'less_equal'( X, Z ) ] )
% 1.47/1.83 , clause( 5030, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 1.47/1.83 'less_equal'( X, Z ) ] )
% 1.47/1.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.47/1.83 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.47/1.83
% 1.47/1.83
% 1.47/1.83 subsumption(
% 1.47/1.83 clause( 12, [ 'less_equal'( divide( a, b ), d ) ] )
% 1.47/1.83 , clause( 5031, [ 'less_equal'( divide( a, b ), d ) ] )
% 1.47/1.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.83
% 1.47/1.83
% 1.47/1.83 subsumption(
% 1.47/1.83 clause( 13, [ ~( 'less_equal'( divide( a, d ), b ) ) ] )
% 1.47/1.83 , clause( 5032, [ ~( 'less_equal'( divide( a, d ), b ) ) ] )
% 1.47/1.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.47/1.83
% 1.47/1.83
% 1.47/1.83 eqswap(
% 1.47/1.83 clause( 5075, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 1.47/1.83 , clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 1.47/1.83 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.47/1.83
% 1.47/1.83
% 1.47/1.83 resolution(
% 1.47/1.83 clause( 5076, [ =( zero, diCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------