%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HEN005-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 12:47:03 EDT 2022
% Result : Unsatisfiable 0.72s 1.26s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN005-6 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n011.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 14:15:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.26 *** allocated 10000 integers for termspace/termends
% 0.72/1.26 *** allocated 10000 integers for clauses
% 0.72/1.26 *** allocated 10000 integers for justifications
% 0.72/1.26 Bliksem 1.12
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26 Automatic Strategy Selection
% 0.72/1.26
% 0.72/1.26 Clauses:
% 0.72/1.26 [
% 0.72/1.26 [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ],
% 0.72/1.26 [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ],
% 0.72/1.26 [ 'less_equal'( divide( X, Y ), X ) ],
% 0.72/1.26 [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide( divide(
% 0.72/1.26 X, Z ), Y ) ) ],
% 0.72/1.26 [ 'less_equal'( zero, X ) ],
% 0.72/1.26 [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y ) ],
% 0.72/1.26 [ 'less_equal'( X, identity ) ],
% 0.72/1.26 [ =( divide( X, identity ), zero ) ],
% 0.72/1.26 [ =( divide( zero, X ), zero ) ],
% 0.72/1.26 [ 'less_equal'( a, b ) ],
% 0.72/1.26 [ 'less_equal'( b, c ) ],
% 0.72/1.26 [ ~( 'less_equal'( a, c ) ) ]
% 0.72/1.26 ] .
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26 percentage equality = 0.312500, percentage horn = 1.000000
% 0.72/1.26 This is a problem with some equality
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26 Options Used:
% 0.72/1.26
% 0.72/1.26 useres = 1
% 0.72/1.26 useparamod = 1
% 0.72/1.26 useeqrefl = 1
% 0.72/1.26 useeqfact = 1
% 0.72/1.26 usefactor = 1
% 0.72/1.26 usesimpsplitting = 0
% 0.72/1.26 usesimpdemod = 5
% 0.72/1.26 usesimpres = 3
% 0.72/1.26
% 0.72/1.26 resimpinuse = 1000
% 0.72/1.26 resimpclauses = 20000
% 0.72/1.26 substype = eqrewr
% 0.72/1.26 backwardsubs = 1
% 0.72/1.26 selectoldest = 5
% 0.72/1.26
% 0.72/1.26 litorderings [0] = split
% 0.72/1.26 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.26
% 0.72/1.26 termordering = kbo
% 0.72/1.26
% 0.72/1.26 litapriori = 0
% 0.72/1.26 termapriori = 1
% 0.72/1.26 litaposteriori = 0
% 0.72/1.26 termaposteriori = 0
% 0.72/1.26 demodaposteriori = 0
% 0.72/1.26 ordereqreflfact = 0
% 0.72/1.26
% 0.72/1.26 litselect = negord
% 0.72/1.26
% 0.72/1.26 maxweight = 15
% 0.72/1.26 maxdepth = 30000
% 0.72/1.26 maxlength = 115
% 0.72/1.26 maxnrvars = 195
% 0.72/1.26 excuselevel = 1
% 0.72/1.26 increasemaxweight = 1
% 0.72/1.26
% 0.72/1.26 maxselected = 10000000
% 0.72/1.26 maxnrclauses = 10000000
% 0.72/1.26
% 0.72/1.26 showgenerated = 0
% 0.72/1.26 showkept = 0
% 0.72/1.26 showselected = 0
% 0.72/1.26 showdeleted = 0
% 0.72/1.26 showresimp = 1
% 0.72/1.26 showstatus = 2000
% 0.72/1.26
% 0.72/1.26 prologoutput = 1
% 0.72/1.26 nrgoals = 5000000
% 0.72/1.26 totalproof = 1
% 0.72/1.26
% 0.72/1.26 Symbols occurring in the translation:
% 0.72/1.26
% 0.72/1.26 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.26 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.72/1.26 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.72/1.26 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.26 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.26 'less_equal' [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.72/1.26 divide [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.72/1.26 zero [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.72/1.26 identity [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.72/1.26 a [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.72/1.26 b [47, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.72/1.26 c [48, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26 Starting Search:
% 0.72/1.26
% 0.72/1.26 Resimplifying inuse:
% 0.72/1.26 Done
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26 Bliksems!, er is een bewijs:
% 0.72/1.26 % SZS status Unsatisfiable
% 0.72/1.26 % SZS output start Refutation
% 0.72/1.26
% 0.72/1.26 clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.72/1.26 .
% 0.72/1.26 clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.72/1.26 .
% 0.72/1.26 clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 0.72/1.26 divide( X, Z ), Y ) ) ] )
% 0.72/1.26 .
% 0.72/1.26 clause( 4, [ 'less_equal'( zero, X ) ] )
% 0.72/1.26 .
% 0.72/1.26 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 0.72/1.26 ) ] )
% 0.72/1.26 .
% 0.72/1.26 clause( 8, [ =( divide( zero, X ), zero ) ] )
% 0.72/1.26 .
% 0.72/1.26 clause( 9, [ 'less_equal'( a, b ) ] )
% 0.72/1.26 .
% 0.72/1.26 clause( 10, [ 'less_equal'( b, c ) ] )
% 0.72/1.26 .
% 0.72/1.26 clause( 11, [ ~( 'less_equal'( a, c ) ) ] )
% 0.72/1.26 .
% 0.72/1.26 clause( 12, [ =( divide( a, b ), zero ) ] )
% 0.72/1.26 .
% 0.72/1.26 clause( 13, [ =( divide( b, c ), zero ) ] )
% 0.72/1.26 .
% 0.72/1.26 clause( 15, [ ~( =( divide( a, c ), zero ) ) ] )
% 0.72/1.26 .
% 0.72/1.26 clause( 20, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 0.72/1.26 .
% 0.72/1.26 clause( 25, [ ~( =( X, zero ) ), ~( 'less_equal'( divide( a, c ), X ) ),
% 0.72/1.26 ~( 'less_equal'( X, divide( a, c ) ) ) ] )
% 0.72/1.26 .
% 0.72/1.26 clause( 43, [ ~( 'less_equal'( divide( a, c ), zero ) ) ] )
% 0.72/1.26 .
% 0.72/1.26 clause( 54, [ 'less_equal'( divide( divide( X, c ), zero ), divide( divide(
% 0.72/1.26 X, b ), c ) ) ] )
% 0.72/1.26 .
% 0.72/1.26 clause( 63, [ ~( =( divide( divide( a, c ), zero ), zero ) ) ] )
% 0.72/1.26 .
% 0.72/1.26 clause( 698, [ ~( 'less_equal'( divide( divide( a, c ), zero ), zero ) ) ]
% 0.72/1.26 )
% 0.72/1.26 .
% 0.72/1.26 clause( 1555, [] )
% 0.72/1.26 .
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26 % SZS output end Refutation
% 0.72/1.26 found a proof!
% 0.72/1.26
% 0.72/1.26 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.26
% 0.72/1.26 initialclauses(
% 0.72/1.26 [ clause( 1557, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.72/1.26 , clause( 1558, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.72/1.26 , clause( 1559, [ 'less_equal'( divide( X, Y ), X ) ] )
% 0.72/1.26 , clause( 1560, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 0.72/1.26 divide( divide( X, Z ), Y ) ) ] )
% 0.72/1.26 , clause( 1561, [ 'less_equal'( zero, X ) ] )
% 0.72/1.26 , clause( 1562, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =(
% 0.72/1.26 X, Y ) ] )
% 0.72/1.26 , clause( 1563, [ 'less_equal'( X, identity ) ] )
% 0.72/1.26 , clause( 1564, [ =( divide( X, identity ), zero ) ] )
% 0.72/1.26 , clause( 1565, [ =( divide( zero, X ), zero ) ] )
% 0.72/1.26 , clause( 1566, [ 'less_equal'( a, b ) ] )
% 0.72/1.26 , clause( 1567, [ 'less_equal'( b, c ) ] )
% 0.72/1.26 , clause( 1568, [ ~( 'less_equal'( a, c ) ) ] )
% 0.72/1.26 ] ).
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26 subsumption(
% 0.72/1.26 clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.72/1.26 , clause( 1557, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.72/1.26 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.26 ), ==>( 1, 1 )] ) ).
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26 subsumption(
% 0.72/1.26 clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.72/1.26 , clause( 1558, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.72/1.26 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.26 ), ==>( 1, 1 )] ) ).
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26 subsumption(
% 0.72/1.26 clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 0.72/1.26 divide( X, Z ), Y ) ) ] )
% 0.72/1.26 , clause( 1560, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 0.72/1.26 divide( divide( X, Z ), Y ) ) ] )
% 0.72/1.26 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.26 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26 subsumption(
% 0.72/1.26 clause( 4, [ 'less_equal'( zero, X ) ] )
% 0.72/1.26 , clause( 1561, [ 'less_equal'( zero, X ) ] )
% 0.72/1.26 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26 subsumption(
% 0.72/1.26 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 0.72/1.26 ) ] )
% 0.72/1.26 , clause( 1562, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =(
% 0.72/1.26 X, Y ) ] )
% 0.72/1.26 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.26 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26 subsumption(
% 0.72/1.26 clause( 8, [ =( divide( zero, X ), zero ) ] )
% 0.72/1.26 , clause( 1565, [ =( divide( zero, X ), zero ) ] )
% 0.72/1.26 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26 subsumption(
% 0.72/1.26 clause( 9, [ 'less_equal'( a, b ) ] )
% 0.72/1.26 , clause( 1566, [ 'less_equal'( a, b ) ] )
% 0.72/1.26 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26 subsumption(
% 0.72/1.26 clause( 10, [ 'less_equal'( b, c ) ] )
% 0.72/1.26 , clause( 1567, [ 'less_equal'( b, c ) ] )
% 0.72/1.26 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26 subsumption(
% 0.72/1.26 clause( 11, [ ~( 'less_equal'( a, c ) ) ] )
% 0.72/1.26 , clause( 1568, [ ~( 'less_equal'( a, c ) ) ] )
% 0.72/1.26 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26 eqswap(
% 0.72/1.26 clause( 1599, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 0.72/1.26 , clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.72/1.26 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26 resolution(
% 0.72/1.26 clause( 1600, [ =( zero, divide( a, b ) ) ] )
% 0.72/1.26 , clause( 1599, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 0.72/1.26 , 1, clause( 9, [ 'less_equal'( a, b ) ] )
% 0.72/1.26 , 0, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.72/1.26 ).
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26 eqswap(
% 0.72/1.26 clause( 1601, [ =( divide( a, b ), zero ) ] )
% 0.72/1.26 , clause( 1600, [ =( zero, divide( a, b ) ) ] )
% 0.72/1.26 , 0, substitution( 0, [] )).
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26 subsumption(
% 0.72/1.26 clause( 12, [ =( divide( a, b ), zero ) ] )
% 0.72/1.26 , clause( 1601, [ =( divide( a, b ), zero ) ] )
% 0.72/1.26 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26 eqswap(
% 0.72/1.26 clause( 1602, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 0.72/1.26 , clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.72/1.26 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26 resolution(
% 0.72/1.26 clause( 1603, [ =( zero, divide( b, c ) ) ] )
% 0.72/1.26 , clause( 1602, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 0.72/1.26 , 1, clause( 10, [ 'less_equal'( b, c ) ] )
% 0.72/1.26 , 0, substitution( 0, [ :=( X, b ), :=( Y, c )] ), substitution( 1, [] )
% 0.72/1.26 ).
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26 eqswap(
% 0.72/1.26 clause( 1604, [ =( divide( b, c ), zero ) ] )
% 0.72/1.26 , clause( 1603, [ =( zero, divide( b, c ) ) ] )
% 0.72/1.26 , 0, substitution( 0, [] )).
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26 subsumption(
% 0.72/1.26 clause( 13, [ =( divide( b, c ), zero ) ] )
% 0.72/1.26 , clause( 1604, [ =( divide( b, c ), zero ) ] )
% 0.72/1.26 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.26
% 0.72/1.26
% 0.72/1.26 eqswaCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------