%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HEN006-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 1.30s 1.69s
% Output : Refutation 1.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN006-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Fri Jul 1 14:13:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.30/1.69 *** allocated 10000 integers for termspace/termends
% 1.30/1.69 *** allocated 10000 integers for clauses
% 1.30/1.69 *** allocated 10000 integers for justifications
% 1.30/1.69 Bliksem 1.12
% 1.30/1.69
% 1.30/1.69
% 1.30/1.69 Automatic Strategy Selection
% 1.30/1.69
% 1.30/1.69 Clauses:
% 1.30/1.69 [
% 1.30/1.69 [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ],
% 1.30/1.69 [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ],
% 1.30/1.69 [ 'less_equal'( divide( X, Y ), X ) ],
% 1.30/1.69 [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide( divide(
% 1.30/1.69 X, Z ), Y ) ) ],
% 1.30/1.69 [ 'less_equal'( zero, X ) ],
% 1.30/1.69 [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y ) ],
% 1.30/1.69 [ 'less_equal'( X, identity ) ],
% 1.30/1.69 [ 'less_equal'( divide( a, b ), d ) ],
% 1.30/1.69 [ ~( 'less_equal'( divide( a, d ), b ) ) ]
% 1.30/1.69 ] .
% 1.30/1.69
% 1.30/1.69
% 1.30/1.69 percentage equality = 0.230769, percentage horn = 1.000000
% 1.30/1.69 This is a problem with some equality
% 1.30/1.69
% 1.30/1.69
% 1.30/1.69
% 1.30/1.69 Options Used:
% 1.30/1.69
% 1.30/1.69 useres = 1
% 1.30/1.69 useparamod = 1
% 1.30/1.69 useeqrefl = 1
% 1.30/1.69 useeqfact = 1
% 1.30/1.69 usefactor = 1
% 1.30/1.69 usesimpsplitting = 0
% 1.30/1.69 usesimpdemod = 5
% 1.30/1.69 usesimpres = 3
% 1.30/1.69
% 1.30/1.69 resimpinuse = 1000
% 1.30/1.69 resimpclauses = 20000
% 1.30/1.69 substype = eqrewr
% 1.30/1.69 backwardsubs = 1
% 1.30/1.69 selectoldest = 5
% 1.30/1.69
% 1.30/1.69 litorderings [0] = split
% 1.30/1.69 litorderings [1] = extend the termordering, first sorting on arguments
% 1.30/1.69
% 1.30/1.69 termordering = kbo
% 1.30/1.69
% 1.30/1.69 litapriori = 0
% 1.30/1.69 termapriori = 1
% 1.30/1.69 litaposteriori = 0
% 1.30/1.69 termaposteriori = 0
% 1.30/1.69 demodaposteriori = 0
% 1.30/1.69 ordereqreflfact = 0
% 1.30/1.69
% 1.30/1.69 litselect = negord
% 1.30/1.69
% 1.30/1.69 maxweight = 15
% 1.30/1.69 maxdepth = 30000
% 1.30/1.69 maxlength = 115
% 1.30/1.69 maxnrvars = 195
% 1.30/1.69 excuselevel = 1
% 1.30/1.69 increasemaxweight = 1
% 1.30/1.69
% 1.30/1.69 maxselected = 10000000
% 1.30/1.69 maxnrclauses = 10000000
% 1.30/1.69
% 1.30/1.69 showgenerated = 0
% 1.30/1.69 showkept = 0
% 1.30/1.69 showselected = 0
% 1.30/1.69 showdeleted = 0
% 1.30/1.69 showresimp = 1
% 1.30/1.69 showstatus = 2000
% 1.30/1.69
% 1.30/1.69 prologoutput = 1
% 1.30/1.69 nrgoals = 5000000
% 1.30/1.69 totalproof = 1
% 1.30/1.69
% 1.30/1.69 Symbols occurring in the translation:
% 1.30/1.69
% 1.30/1.69 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.30/1.69 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 1.30/1.69 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 1.30/1.69 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.30/1.69 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.30/1.69 'less_equal' [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 1.30/1.69 divide [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 1.30/1.69 zero [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.30/1.69 identity [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.30/1.69 a [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.30/1.69 b [47, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.30/1.69 d [48, 0] (w:1, o:16, a:1, s:1, b:0).
% 1.30/1.69
% 1.30/1.69
% 1.30/1.69 Starting Search:
% 1.30/1.69
% 1.30/1.69 Resimplifying inuse:
% 1.30/1.69 Done
% 1.30/1.69
% 1.30/1.69
% 1.30/1.69 Intermediate Status:
% 1.30/1.69 Generated: 17082
% 1.30/1.69 Kept: 2006
% 1.30/1.69 Inuse: 196
% 1.30/1.69 Deleted: 3
% 1.30/1.69 Deletedinuse: 0
% 1.30/1.69
% 1.30/1.69 Resimplifying inuse:
% 1.30/1.69 Done
% 1.30/1.69
% 1.30/1.69 Resimplifying inuse:
% 1.30/1.69 Done
% 1.30/1.69
% 1.30/1.69
% 1.30/1.69 Bliksems!, er is een bewijs:
% 1.30/1.69 % SZS status Unsatisfiable
% 1.30/1.69 % SZS output start Refutation
% 1.30/1.69
% 1.30/1.69 clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 1.30/1.69 .
% 1.30/1.69 clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 1.30/1.69 .
% 1.30/1.69 clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 1.30/1.69 .
% 1.30/1.69 clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 1.30/1.69 divide( X, Z ), Y ) ) ] )
% 1.30/1.69 .
% 1.30/1.69 clause( 4, [ 'less_equal'( zero, X ) ] )
% 1.30/1.69 .
% 1.30/1.69 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 1.30/1.69 ) ] )
% 1.30/1.69 .
% 1.30/1.69 clause( 7, [ 'less_equal'( divide( a, b ), d ) ] )
% 1.30/1.69 .
% 1.30/1.69 clause( 8, [ ~( 'less_equal'( divide( a, d ), b ) ) ] )
% 1.30/1.69 .
% 1.30/1.69 clause( 9, [ =( divide( divide( a, b ), d ), zero ) ] )
% 1.30/1.69 .
% 1.30/1.69 clause( 10, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 1.30/1.69 .
% 1.30/1.69 clause( 11, [ =( divide( zero, X ), zero ) ] )
% 1.30/1.69 .
% 1.30/1.69 clause( 15, [ ~( =( divide( divide( a, d ), b ), zero ) ) ] )
% 1.30/1.69 .
% 1.30/1.69 clause( 19, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 1.30/1.69 .
% 1.30/1.69 clause( 47, [ 'less_equal'( X, Y ), ~( 'less_equal'( X, zero ) ) ] )
% 1.30/1.69 .
% 1.30/1.69 clause( 51, [ ~( 'less_equal'( divide( divide( X, Y ), Z ), divide( divide(
% 1.30/1.69 X, Z ), divide( Y, Z ) ) ) ), =( divide( divide( X, Z ), divide( Y, Z ) )
% 1.30/1.69 , divide( divide( X, Y ), Z ) ) ] )
% 1.30/1.69 .
% 1.30/1.69 clause( 61, [ 'less_equal'( divide( divide( Z, X ), zero ), divide( divide(
% 1.30/1.69 Z, divide( X, Y ) ), X ) ) ] )
% 1.30/1.69 .
% 1.30/1.69 clause( 74, [ 'less_equal'( X, Y ), ~( =( divide( X, zero ), zero ) ) ] )
% 1.30/1.69 .
% 1.30/1.69 clause( 261, [ ~( 'less_equal'( divide( divide( a, d ), b ), zero ) ) ] )
% 1.30/1.69 .
% 1.30/1.69 clause( 803, [ 'less_equal'( X, Y ), ~( 'less_equal'( divide( X, zero ),
% 1.30/1.69 zero ) ) ] )
% 1.30/1.69 .
% 1.30/1.69 clause( 835, [ ~( 'less_equal'( divide( divide( divide( a, d ), b ), zero )
% 1.30/1.69 , zero ) ) ] )
% 1.30/1.69 .
% 1.30/1.69 clause( 1780, [ =( divide( divide( a, d ), divide( b, d ) ), zero ) ] )
% 1.30/1.69 .
% 1.30/1.69 clause( 3225, [] )
% 1.30/1.69 .
% 1.30/1.69
% 1.30/1.69
% 1.30/1.69 % SZS output end Refutation
% 1.30/1.69 found a proof!
% 1.30/1.69
% 1.30/1.69 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.30/1.69
% 1.30/1.69 initialclauses(
% 1.30/1.69 [ clause( 3227, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 1.30/1.69 , clause( 3228, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 1.30/1.69 , clause( 3229, [ 'less_equal'( divide( X, Y ), X ) ] )
% 1.30/1.69 , clause( 3230, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 1.30/1.69 divide( divide( X, Z ), Y ) ) ] )
% 1.30/1.69 , clause( 3231, [ 'less_equal'( zero, X ) ] )
% 1.30/1.69 , clause( 3232, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =(
% 1.30/1.69 X, Y ) ] )
% 1.30/1.69 , clause( 3233, [ 'less_equal'( X, identity ) ] )
% 1.30/1.69 , clause( 3234, [ 'less_equal'( divide( a, b ), d ) ] )
% 1.30/1.69 , clause( 3235, [ ~( 'less_equal'( divide( a, d ), b ) ) ] )
% 1.30/1.69 ] ).
% 1.30/1.69
% 1.30/1.69
% 1.30/1.69
% 1.30/1.69 subsumption(
% 1.30/1.69 clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 1.30/1.69 , clause( 3227, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 1.30/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.30/1.69 ), ==>( 1, 1 )] ) ).
% 1.30/1.69
% 1.30/1.69
% 1.30/1.69 subsumption(
% 1.30/1.69 clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 1.30/1.69 , clause( 3228, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 1.30/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.30/1.69 ), ==>( 1, 1 )] ) ).
% 1.30/1.69
% 1.30/1.69
% 1.30/1.69 subsumption(
% 1.30/1.69 clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 1.30/1.69 , clause( 3229, [ 'less_equal'( divide( X, Y ), X ) ] )
% 1.30/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.30/1.69 )] ) ).
% 1.30/1.69
% 1.30/1.69
% 1.30/1.69 subsumption(
% 1.30/1.69 clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 1.30/1.69 divide( X, Z ), Y ) ) ] )
% 1.30/1.69 , clause( 3230, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 1.30/1.69 divide( divide( X, Z ), Y ) ) ] )
% 1.30/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.30/1.69 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.30/1.69
% 1.30/1.69
% 1.30/1.69 subsumption(
% 1.30/1.69 clause( 4, [ 'less_equal'( zero, X ) ] )
% 1.30/1.69 , clause( 3231, [ 'less_equal'( zero, X ) ] )
% 1.30/1.69 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.30/1.69
% 1.30/1.69
% 1.30/1.69 subsumption(
% 1.30/1.69 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 1.30/1.69 ) ] )
% 1.30/1.69 , clause( 3232, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =(
% 1.30/1.69 X, Y ) ] )
% 1.30/1.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.30/1.69 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.30/1.69
% 1.30/1.69
% 1.30/1.69 subsumption(
% 1.30/1.69 clause( 7, [ 'less_equal'( divide( a, b ), d ) ] )
% 1.30/1.69 , clause( 3234, [ 'less_equal'( divide( a, b ), d ) ] )
% 1.30/1.69 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.30/1.69
% 1.30/1.69
% 1.30/1.69 subsumption(
% 1.30/1.69 clause( 8, [ ~( 'less_equal'( divide( a, d ), b ) ) ] )
% 1.30/1.69 , clause( 3235, [ ~( 'less_equal'( divide( a, d ), b ) ) ] )
% 1.30/1.69 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.30/1.69
% 1.30/1.69
% 1.30/1.69 eqswap(
% 1.30/1.69 clause( 3254, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 1.30/1.69 , clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 1.30/1.69 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.30/1.69
% 1.30/1.69
% 1.30/1.69 resolution(
% 1.30/1.69 clause( 3255, [ =( zero, divide( divide( a, b ), d ) ) ] )
% 1.30/1.69 , clause( 3254, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 1.30/1.69 , 1, clause( 7, [ 'less_equal'( divide( a, b ), d ) ] )
% 1.30/1.69 , 0, substitution( 0, [ :=( X, divide( a, b ) ), :=( Y, d )] ),
% 1.30/1.69 substitution( 1, [] )).
% 1.30/1.69
% 1.30/1.69
% 1.30/1.69 eqswap(
% 1.30/1.69 clause( 3256, [ =( divide( divide( a, b ), d ), zero ) ] )
% 1.30/1.69 , clause( 3255, [ =( zero, divide( divide( a, b ), d ) ) ] )
% 1.30/1.69 , 0, substitution( 0, [] )).
% 1.30/1.69
% 1.30/1.69
% 1.30/1.69 subsumption(
% 1.30/1.69 clause( 9, [ =( divide( divide( a, b ), d ), zero ) ] )
% 1.30/1.69 , clause( 3256, [ =( divide( divide( a, b ), d ), zero ) ] )
% 1.30/1.69 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.30/1.69
% 1.30/1.69
% 1.30/1.69 eqswap(
% 1.30/1.69 clause( 3257, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 1.30/1.69 , clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 1.30/1.69 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.30/1.69
% 1.30/1.69
% 1.30/1.69 resolution(
% 1.30/1.69 clause( 3258, [ =( zero, divide( divide( X, Y ), X ) ) ] )
% 1.30/1.69 , clause( 3257, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 1.30/1.69 , 1, clause( 2Cputime limit exceeded (core dumped) (core dumped)
% 300.05/300.40 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------