TSTP Solution File: HEN004-4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HEN004-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 12:47:01 EDT 2022
% Result : Unsatisfiable 1.02s 1.40s
% Output : Refutation 1.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : HEN004-4 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Fri Jul 1 14:55:45 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.02/1.40 *** allocated 10000 integers for termspace/termends
% 1.02/1.40 *** allocated 10000 integers for clauses
% 1.02/1.40 *** allocated 10000 integers for justifications
% 1.02/1.40 Bliksem 1.12
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 Automatic Strategy Selection
% 1.02/1.40
% 1.02/1.40 Clauses:
% 1.02/1.40 [
% 1.02/1.40 [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ],
% 1.02/1.40 [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ],
% 1.02/1.40 [ 'less_equal'( divide( X, Y ), X ) ],
% 1.02/1.40 [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide( divide(
% 1.02/1.40 X, Z ), Y ) ) ],
% 1.02/1.40 [ 'less_equal'( zero, X ) ],
% 1.02/1.40 [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y ) ],
% 1.02/1.40 [ 'less_equal'( X, identity ) ],
% 1.02/1.40 [ =( divide( X, identity ), zero ) ],
% 1.02/1.40 [ =( divide( zero, X ), zero ) ],
% 1.02/1.40 [ =( divide( X, X ), zero ) ],
% 1.02/1.40 [ ~( =( divide( a, zero ), a ) ) ]
% 1.02/1.40 ] .
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 percentage equality = 0.466667, percentage horn = 1.000000
% 1.02/1.40 This is a problem with some equality
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 Options Used:
% 1.02/1.40
% 1.02/1.40 useres = 1
% 1.02/1.40 useparamod = 1
% 1.02/1.40 useeqrefl = 1
% 1.02/1.40 useeqfact = 1
% 1.02/1.40 usefactor = 1
% 1.02/1.40 usesimpsplitting = 0
% 1.02/1.40 usesimpdemod = 5
% 1.02/1.40 usesimpres = 3
% 1.02/1.40
% 1.02/1.40 resimpinuse = 1000
% 1.02/1.40 resimpclauses = 20000
% 1.02/1.40 substype = eqrewr
% 1.02/1.40 backwardsubs = 1
% 1.02/1.40 selectoldest = 5
% 1.02/1.40
% 1.02/1.40 litorderings [0] = split
% 1.02/1.40 litorderings [1] = extend the termordering, first sorting on arguments
% 1.02/1.40
% 1.02/1.40 termordering = kbo
% 1.02/1.40
% 1.02/1.40 litapriori = 0
% 1.02/1.40 termapriori = 1
% 1.02/1.40 litaposteriori = 0
% 1.02/1.40 termaposteriori = 0
% 1.02/1.40 demodaposteriori = 0
% 1.02/1.40 ordereqreflfact = 0
% 1.02/1.40
% 1.02/1.40 litselect = negord
% 1.02/1.40
% 1.02/1.40 maxweight = 15
% 1.02/1.40 maxdepth = 30000
% 1.02/1.40 maxlength = 115
% 1.02/1.40 maxnrvars = 195
% 1.02/1.40 excuselevel = 1
% 1.02/1.40 increasemaxweight = 1
% 1.02/1.40
% 1.02/1.40 maxselected = 10000000
% 1.02/1.40 maxnrclauses = 10000000
% 1.02/1.40
% 1.02/1.40 showgenerated = 0
% 1.02/1.40 showkept = 0
% 1.02/1.40 showselected = 0
% 1.02/1.40 showdeleted = 0
% 1.02/1.40 showresimp = 1
% 1.02/1.40 showstatus = 2000
% 1.02/1.40
% 1.02/1.40 prologoutput = 1
% 1.02/1.40 nrgoals = 5000000
% 1.02/1.40 totalproof = 1
% 1.02/1.40
% 1.02/1.40 Symbols occurring in the translation:
% 1.02/1.40
% 1.02/1.40 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.02/1.40 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 1.02/1.40 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 1.02/1.40 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.02/1.40 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.02/1.40 'less_equal' [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 1.02/1.40 divide [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 1.02/1.40 zero [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.02/1.40 identity [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.02/1.40 a [46, 0] (w:1, o:14, a:1, s:1, b:0).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 Starting Search:
% 1.02/1.40
% 1.02/1.40 Resimplifying inuse:
% 1.02/1.40 Done
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 Intermediate Status:
% 1.02/1.40 Generated: 22911
% 1.02/1.40 Kept: 2011
% 1.02/1.40 Inuse: 168
% 1.02/1.40 Deleted: 19
% 1.02/1.40 Deletedinuse: 2
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 Bliksems!, er is een bewijs:
% 1.02/1.40 % SZS status Unsatisfiable
% 1.02/1.40 % SZS output start Refutation
% 1.02/1.40
% 1.02/1.40 clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 1.02/1.40 divide( X, Z ), Y ) ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 4, [ 'less_equal'( zero, X ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 1.02/1.40 ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 8, [ =( divide( zero, X ), zero ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 9, [ =( divide( X, X ), zero ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 10, [ ~( =( divide( a, zero ), a ) ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 14, [ 'less_equal'( X, X ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 15, [ ~( 'less_equal'( X, Y ) ), =( Y, X ), ~( =( divide( Y, X ),
% 1.02/1.40 zero ) ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 16, [ ~( 'less_equal'( X, divide( X, Y ) ) ), =( divide( X, Y ), X
% 1.02/1.40 ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 17, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 25, [ ~( =( X, a ) ), ~( 'less_equal'( divide( a, zero ), X ) ),
% 1.02/1.40 ~( 'less_equal'( X, divide( a, zero ) ) ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 29, [ =( divide( X, Y ), X ), ~( 'less_equal'( X, zero ) ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 31, [ 'less_equal'( X, Y ), ~( 'less_equal'( X, zero ) ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 33, [ ~( 'less_equal'( a, divide( a, zero ) ) ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 51, [ 'less_equal'( divide( divide( Y, X ), zero ), divide( divide(
% 1.02/1.40 Y, zero ), X ) ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 62, [ ~( =( divide( a, divide( a, zero ) ), zero ) ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 67, [ 'less_equal'( X, Y ), ~( =( divide( X, zero ), zero ) ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 69, [ =( X, Y ), ~( =( divide( X, Y ), zero ) ), ~( 'less_equal'( Y
% 1.02/1.40 , zero ) ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 199, [ ~( 'less_equal'( divide( a, divide( a, zero ) ), zero ) ) ]
% 1.02/1.40 )
% 1.02/1.40 .
% 1.02/1.40 clause( 323, [ 'less_equal'( X, Y ), ~( 'less_equal'( divide( X, zero ),
% 1.02/1.40 zero ) ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 341, [ ~( 'less_equal'( divide( divide( a, divide( a, zero ) ),
% 1.02/1.40 zero ), zero ) ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 1689, [ 'less_equal'( divide( divide( X, divide( X, zero ) ), zero
% 1.02/1.40 ), zero ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 2013, [ ~( 'less_equal'( X, zero ) ), ~( =( X, zero ) ) ] )
% 1.02/1.40 .
% 1.02/1.40 clause( 2019, [] )
% 1.02/1.40 .
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 % SZS output end Refutation
% 1.02/1.40 found a proof!
% 1.02/1.40
% 1.02/1.40 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.02/1.40
% 1.02/1.40 initialclauses(
% 1.02/1.40 [ clause( 2021, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 1.02/1.40 , clause( 2022, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 1.02/1.40 , clause( 2023, [ 'less_equal'( divide( X, Y ), X ) ] )
% 1.02/1.40 , clause( 2024, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 1.02/1.40 divide( divide( X, Z ), Y ) ) ] )
% 1.02/1.40 , clause( 2025, [ 'less_equal'( zero, X ) ] )
% 1.02/1.40 , clause( 2026, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =(
% 1.02/1.40 X, Y ) ] )
% 1.02/1.40 , clause( 2027, [ 'less_equal'( X, identity ) ] )
% 1.02/1.40 , clause( 2028, [ =( divide( X, identity ), zero ) ] )
% 1.02/1.40 , clause( 2029, [ =( divide( zero, X ), zero ) ] )
% 1.02/1.40 , clause( 2030, [ =( divide( X, X ), zero ) ] )
% 1.02/1.40 , clause( 2031, [ ~( =( divide( a, zero ), a ) ) ] )
% 1.02/1.40 ] ).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 subsumption(
% 1.02/1.40 clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 1.02/1.40 , clause( 2022, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 1.02/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.40 ), ==>( 1, 1 )] ) ).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 subsumption(
% 1.02/1.40 clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 1.02/1.40 , clause( 2023, [ 'less_equal'( divide( X, Y ), X ) ] )
% 1.02/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.40 )] ) ).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 subsumption(
% 1.02/1.40 clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 1.02/1.40 divide( X, Z ), Y ) ) ] )
% 1.02/1.40 , clause( 2024, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 1.02/1.40 divide( divide( X, Z ), Y ) ) ] )
% 1.02/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.02/1.40 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 subsumption(
% 1.02/1.40 clause( 4, [ 'less_equal'( zero, X ) ] )
% 1.02/1.40 , clause( 2025, [ 'less_equal'( zero, X ) ] )
% 1.02/1.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 subsumption(
% 1.02/1.40 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 2026, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =(
% 1.02/1.40 X, Y ) ] )
% 1.02/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.02/1.40 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 subsumption(
% 1.02/1.40 clause( 8, [ =( divide( zero, X ), zero ) ] )
% 1.02/1.40 , clause( 2029, [ =( divide( zero, X ), zero ) ] )
% 1.02/1.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 subsumption(
% 1.02/1.40 clause( 9, [ =( divide( X, X ), zero ) ] )
% 1.02/1.40 , clause( 2030, [ =( divide( X, X ), zero ) ] )
% 1.02/1.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 subsumption(
% 1.02/1.40 clause( 10, [ ~( =( divide( a, zero ), a ) ) ] )
% 1.02/1.40 , clause( 2031, [ ~( =( divide( a, zero ), a ) ) ] )
% 1.02/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 eqswap(
% 1.02/1.40 clause( 2061, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ] )
% 1.02/1.40 , clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 1.02/1.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 eqswap(
% 1.02/1.40 clause( 2062, [ =( zero, divide( X, X ) ) ] )
% 1.02/1.40 , clause( 9, [ =( divide( X, X ), zero ) ] )
% 1.02/1.40 , 0, substitution( 0, [ :=( X, X )] )).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 resolution(
% 1.02/1.40 clause( 2063, [ 'less_equal'( X, X ) ] )
% 1.02/1.40 , clause( 2061, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ] )
% 1.02/1.40 , 0, clause( 2062, [ =( zero, divide( X, X ) ) ] )
% 1.02/1.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 1.02/1.40 , X )] )).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 subsumption(
% 1.02/1.40 clause( 14, [ 'less_equal'( X, X ) ] )
% 1.02/1.40 , clause( 2063, [ 'less_equal'( X, X ) ] )
% 1.02/1.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 eqswap(
% 1.02/1.40 clause( 2064, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ] )
% 1.02/1.40 , clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 1.02/1.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.02/1.40
% 1.02/1.40
% 1.02/1.40 resolution(
% 1.02/1.40 clause( 2066, [ ~( 'less_equal'( X,Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------