TSTP Solution File: HEN009-4 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HEN009-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 12:47:09 EDT 2022
% Result : Unsatisfiable 0.72s 1.09s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : HEN009-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n012.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 13:55:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.09 *** allocated 10000 integers for termspace/termends
% 0.72/1.09 *** allocated 10000 integers for clauses
% 0.72/1.09 *** allocated 10000 integers for justifications
% 0.72/1.09 Bliksem 1.12
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Automatic Strategy Selection
% 0.72/1.09
% 0.72/1.09 Clauses:
% 0.72/1.09 [
% 0.72/1.09 [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ],
% 0.72/1.09 [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ],
% 0.72/1.09 [ 'less_equal'( divide( X, Y ), X ) ],
% 0.72/1.09 [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide( divide(
% 0.72/1.09 X, Z ), Y ) ) ],
% 0.72/1.09 [ 'less_equal'( zero, X ) ],
% 0.72/1.09 [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y ) ],
% 0.72/1.09 [ 'less_equal'( X, identity ) ],
% 0.72/1.09 [ =( divide( X, identity ), zero ) ],
% 0.72/1.09 [ =( divide( zero, X ), zero ) ],
% 0.72/1.09 [ =( divide( X, X ), zero ) ],
% 0.72/1.09 [ =( divide( a, zero ), a ) ],
% 0.72/1.09 [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ), 'less_equal'( X
% 0.72/1.09 , Z ) ],
% 0.72/1.09 [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'( divide( X, Z ),
% 0.72/1.09 Y ) ],
% 0.72/1.09 [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( Z, Y ), divide( Z, X
% 0.72/1.09 ) ) ],
% 0.72/1.09 [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( X, Z ), divide( Y, Z
% 0.72/1.09 ) ) ],
% 0.72/1.09 [ ~( =( divide( identity, a ), divide( identity, divide( identity,
% 0.72/1.09 divide( identity, a ) ) ) ) ) ]
% 0.72/1.09 ] .
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 percentage equality = 0.320000, percentage horn = 1.000000
% 0.72/1.09 This is a problem with some equality
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Options Used:
% 0.72/1.09
% 0.72/1.09 useres = 1
% 0.72/1.09 useparamod = 1
% 0.72/1.09 useeqrefl = 1
% 0.72/1.09 useeqfact = 1
% 0.72/1.09 usefactor = 1
% 0.72/1.09 usesimpsplitting = 0
% 0.72/1.09 usesimpdemod = 5
% 0.72/1.09 usesimpres = 3
% 0.72/1.09
% 0.72/1.09 resimpinuse = 1000
% 0.72/1.09 resimpclauses = 20000
% 0.72/1.09 substype = eqrewr
% 0.72/1.09 backwardsubs = 1
% 0.72/1.09 selectoldest = 5
% 0.72/1.09
% 0.72/1.09 litorderings [0] = split
% 0.72/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.09
% 0.72/1.09 termordering = kbo
% 0.72/1.09
% 0.72/1.09 litapriori = 0
% 0.72/1.09 termapriori = 1
% 0.72/1.09 litaposteriori = 0
% 0.72/1.09 termaposteriori = 0
% 0.72/1.09 demodaposteriori = 0
% 0.72/1.09 ordereqreflfact = 0
% 0.72/1.09
% 0.72/1.09 litselect = negord
% 0.72/1.09
% 0.72/1.09 maxweight = 15
% 0.72/1.09 maxdepth = 30000
% 0.72/1.09 maxlength = 115
% 0.72/1.09 maxnrvars = 195
% 0.72/1.09 excuselevel = 1
% 0.72/1.09 increasemaxweight = 1
% 0.72/1.09
% 0.72/1.09 maxselected = 10000000
% 0.72/1.09 maxnrclauses = 10000000
% 0.72/1.09
% 0.72/1.09 showgenerated = 0
% 0.72/1.09 showkept = 0
% 0.72/1.09 showselected = 0
% 0.72/1.09 showdeleted = 0
% 0.72/1.09 showresimp = 1
% 0.72/1.09 showstatus = 2000
% 0.72/1.09
% 0.72/1.09 prologoutput = 1
% 0.72/1.09 nrgoals = 5000000
% 0.72/1.09 totalproof = 1
% 0.72/1.09
% 0.72/1.09 Symbols occurring in the translation:
% 0.72/1.09
% 0.72/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.09 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.72/1.09 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.72/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.09 'less_equal' [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.72/1.09 divide [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.72/1.09 zero [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.72/1.09 identity [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.72/1.09 a [46, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Starting Search:
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Bliksems!, er is een bewijs:
% 0.72/1.09 % SZS status Unsatisfiable
% 0.72/1.09 % SZS output start Refutation
% 0.72/1.09
% 0.72/1.09 clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 0.72/1.09 ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 9, [ =( divide( X, X ), zero ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 12, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'( divide(
% 0.72/1.09 X, Z ), Y ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 13, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( Z, Y ),
% 0.72/1.09 divide( Z, X ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 15, [ ~( =( divide( identity, divide( identity, divide( identity, a
% 0.72/1.09 ) ) ), divide( identity, a ) ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 19, [ 'less_equal'( X, X ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 98, [ 'less_equal'( divide( X, divide( X, Y ) ), Y ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 109, [ ~( 'less_equal'( X, divide( Y, divide( Y, X ) ) ) ), =(
% 0.72/1.09 divide( Y, divide( Y, X ) ), X ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 119, [ 'less_equal'( divide( X, Y ), divide( X, divide( Z, divide(
% 0.72/1.09 Z, Y ) ) ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 196, [ ~( =( X, divide( identity, a ) ) ), ~( 'less_equal'( divide(
% 0.72/1.09 identity, divide( identity, divide( identity, a ) ) ), X ) ), ~(
% 0.72/1.09 'less_equal'( X, divide( identity, divide( identity, divide( identity, a
% 0.72/1.09 ) ) ) ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 201, [ ~( 'less_equal'( divide( identity, a ), divide( identity, a
% 0.72/1.09 ) ) ) ] )
% 0.72/1.09 .
% 0.72/1.09 clause( 316, [] )
% 0.72/1.09 .
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 % SZS output end Refutation
% 0.72/1.09 found a proof!
% 0.72/1.09
% 0.72/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.09
% 0.72/1.09 initialclauses(
% 0.72/1.09 [ clause( 318, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.72/1.09 , clause( 319, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.72/1.09 , clause( 320, [ 'less_equal'( divide( X, Y ), X ) ] )
% 0.72/1.09 , clause( 321, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 0.72/1.09 divide( divide( X, Z ), Y ) ) ] )
% 0.72/1.09 , clause( 322, [ 'less_equal'( zero, X ) ] )
% 0.72/1.09 , clause( 323, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X
% 0.72/1.09 , Y ) ] )
% 0.72/1.09 , clause( 324, [ 'less_equal'( X, identity ) ] )
% 0.72/1.09 , clause( 325, [ =( divide( X, identity ), zero ) ] )
% 0.72/1.09 , clause( 326, [ =( divide( zero, X ), zero ) ] )
% 0.72/1.09 , clause( 327, [ =( divide( X, X ), zero ) ] )
% 0.72/1.09 , clause( 328, [ =( divide( a, zero ), a ) ] )
% 0.72/1.09 , clause( 329, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 0.72/1.09 'less_equal'( X, Z ) ] )
% 0.72/1.09 , clause( 330, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'(
% 0.72/1.09 divide( X, Z ), Y ) ] )
% 0.72/1.09 , clause( 331, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( Z, Y ),
% 0.72/1.09 divide( Z, X ) ) ] )
% 0.72/1.09 , clause( 332, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( X, Z ),
% 0.72/1.09 divide( Y, Z ) ) ] )
% 0.72/1.09 , clause( 333, [ ~( =( divide( identity, a ), divide( identity, divide(
% 0.72/1.09 identity, divide( identity, a ) ) ) ) ) ] )
% 0.72/1.09 ] ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.72/1.09 , clause( 319, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09 ), ==>( 1, 1 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 0.72/1.09 ) ] )
% 0.72/1.09 , clause( 323, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X
% 0.72/1.09 , Y ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.09 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 9, [ =( divide( X, X ), zero ) ] )
% 0.72/1.09 , clause( 327, [ =( divide( X, X ), zero ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 12, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'( divide(
% 0.72/1.09 X, Z ), Y ) ] )
% 0.72/1.09 , clause( 330, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'(
% 0.72/1.09 divide( X, Z ), Y ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 13, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( Z, Y ),
% 0.72/1.09 divide( Z, X ) ) ] )
% 0.72/1.09 , clause( 331, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( Z, Y ),
% 0.72/1.09 divide( Z, X ) ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 369, [ ~( =( divide( identity, divide( identity, divide( identity,
% 0.72/1.09 a ) ) ), divide( identity, a ) ) ) ] )
% 0.72/1.09 , clause( 333, [ ~( =( divide( identity, a ), divide( identity, divide(
% 0.72/1.09 identity, divide( identity, a ) ) ) ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 15, [ ~( =( divide( identity, divide( identity, divide( identity, a
% 0.72/1.09 ) ) ), divide( identity, a ) ) ) ] )
% 0.72/1.09 , clause( 369, [ ~( =( divide( identity, divide( identity, divide( identity
% 0.72/1.09 , a ) ) ), divide( identity, a ) ) ) ] )
% 0.72/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 370, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ] )
% 0.72/1.09 , clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 eqswap(
% 0.72/1.09 clause( 371, [ =( zero, divide( X, X ) ) ] )
% 0.72/1.09 , clause( 9, [ =( divide( X, X ), zero ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 372, [ 'less_equal'( X, X ) ] )
% 0.72/1.09 , clause( 370, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ] )
% 0.72/1.09 , 0, clause( 371, [ =( zero, divide( X, X ) ) ] )
% 0.72/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.72/1.09 , X )] )).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 subsumption(
% 0.72/1.09 clause( 19, [ 'less_equal'( X, X ) ] )
% 0.72/1.09 , clause( 372, [ 'less_equal'( X, X ) ] )
% 0.72/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 resolution(
% 0.72/1.09 clause( 373, [ 'less_equal'( divideCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------