TSTP Solution File: HEN012-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HEN012-3 : 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 12:47:14 EDT 2022
% Result : Unsatisfiable 0.40s 1.06s
% Output : Refutation 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : HEN012-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % DateTime : Fri Jul 1 13:07:15 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.40/1.06 *** allocated 10000 integers for termspace/termends
% 0.40/1.06 *** allocated 10000 integers for clauses
% 0.40/1.06 *** allocated 10000 integers for justifications
% 0.40/1.06 Bliksem 1.12
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 Automatic Strategy Selection
% 0.40/1.06
% 0.40/1.06 Clauses:
% 0.40/1.06 [
% 0.40/1.06 [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ],
% 0.40/1.06 [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ],
% 0.40/1.06 [ 'less_equal'( divide( X, Y ), X ) ],
% 0.40/1.06 [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide( divide(
% 0.40/1.06 X, Z ), Y ) ) ],
% 0.40/1.06 [ 'less_equal'( zero, X ) ],
% 0.40/1.06 [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y ) ],
% 0.40/1.06 [ 'less_equal'( X, identity ) ],
% 0.40/1.06 [ ~( 'less_equal'( a, a ) ) ]
% 0.40/1.06 ] .
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 percentage equality = 0.250000, percentage horn = 1.000000
% 0.40/1.06 This is a problem with some equality
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 Options Used:
% 0.40/1.06
% 0.40/1.06 useres = 1
% 0.40/1.06 useparamod = 1
% 0.40/1.06 useeqrefl = 1
% 0.40/1.06 useeqfact = 1
% 0.40/1.06 usefactor = 1
% 0.40/1.06 usesimpsplitting = 0
% 0.40/1.06 usesimpdemod = 5
% 0.40/1.06 usesimpres = 3
% 0.40/1.06
% 0.40/1.06 resimpinuse = 1000
% 0.40/1.06 resimpclauses = 20000
% 0.40/1.06 substype = eqrewr
% 0.40/1.06 backwardsubs = 1
% 0.40/1.06 selectoldest = 5
% 0.40/1.06
% 0.40/1.06 litorderings [0] = split
% 0.40/1.06 litorderings [1] = extend the termordering, first sorting on arguments
% 0.40/1.06
% 0.40/1.06 termordering = kbo
% 0.40/1.06
% 0.40/1.06 litapriori = 0
% 0.40/1.06 termapriori = 1
% 0.40/1.06 litaposteriori = 0
% 0.40/1.06 termaposteriori = 0
% 0.40/1.06 demodaposteriori = 0
% 0.40/1.06 ordereqreflfact = 0
% 0.40/1.06
% 0.40/1.06 litselect = negord
% 0.40/1.06
% 0.40/1.06 maxweight = 15
% 0.40/1.06 maxdepth = 30000
% 0.40/1.06 maxlength = 115
% 0.40/1.06 maxnrvars = 195
% 0.40/1.06 excuselevel = 1
% 0.40/1.06 increasemaxweight = 1
% 0.40/1.06
% 0.40/1.06 maxselected = 10000000
% 0.40/1.06 maxnrclauses = 10000000
% 0.40/1.06
% 0.40/1.06 showgenerated = 0
% 0.40/1.06 showkept = 0
% 0.40/1.06 showselected = 0
% 0.40/1.06 showdeleted = 0
% 0.40/1.06 showresimp = 1
% 0.40/1.06 showstatus = 2000
% 0.40/1.06
% 0.40/1.06 prologoutput = 1
% 0.40/1.06 nrgoals = 5000000
% 0.40/1.06 totalproof = 1
% 0.40/1.06
% 0.40/1.06 Symbols occurring in the translation:
% 0.40/1.06
% 0.40/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.40/1.06 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.40/1.06 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.40/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.40/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.40/1.06 'less_equal' [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.40/1.06 divide [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.40/1.06 zero [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.40/1.06 identity [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.40/1.06 a [46, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 Starting Search:
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 Bliksems!, er is een bewijs:
% 0.40/1.06 % SZS status Unsatisfiable
% 0.40/1.06 % SZS output start Refutation
% 0.40/1.06
% 0.40/1.06 clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 0.40/1.06 divide( X, Z ), Y ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 4, [ 'less_equal'( zero, X ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 0.40/1.06 ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 7, [ ~( 'less_equal'( a, a ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 8, [ ~( =( divide( a, a ), zero ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 9, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 13, [ 'less_equal'( divide( divide( Z, X ), zero ), divide( divide(
% 0.40/1.06 Z, divide( X, Y ) ), X ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 24, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 32, [ ~( =( X, zero ) ), ~( 'less_equal'( divide( a, a ), X ) ),
% 0.40/1.06 ~( 'less_equal'( X, divide( a, a ) ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 42, [ ~( 'less_equal'( divide( a, a ), zero ) ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 74, [ 'less_equal'( divide( divide( X, X ), zero ), zero ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 140, [ =( divide( divide( X, X ), zero ), zero ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 161, [ 'less_equal'( divide( X, X ), zero ) ] )
% 0.40/1.06 .
% 0.40/1.06 clause( 170, [] )
% 0.40/1.06 .
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 % SZS output end Refutation
% 0.40/1.06 found a proof!
% 0.40/1.06
% 0.40/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.40/1.06
% 0.40/1.06 initialclauses(
% 0.40/1.06 [ clause( 172, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.40/1.06 , clause( 173, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.40/1.06 , clause( 174, [ 'less_equal'( divide( X, Y ), X ) ] )
% 0.40/1.06 , clause( 175, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 0.40/1.06 divide( divide( X, Z ), Y ) ) ] )
% 0.40/1.06 , clause( 176, [ 'less_equal'( zero, X ) ] )
% 0.40/1.06 , clause( 177, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X
% 0.40/1.06 , Y ) ] )
% 0.40/1.06 , clause( 178, [ 'less_equal'( X, identity ) ] )
% 0.40/1.06 , clause( 179, [ ~( 'less_equal'( a, a ) ) ] )
% 0.40/1.06 ] ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.40/1.06 , clause( 172, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.40/1.06 ), ==>( 1, 1 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.40/1.06 , clause( 173, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.40/1.06 ), ==>( 1, 1 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 0.40/1.06 , clause( 174, [ 'less_equal'( divide( X, Y ), X ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.40/1.06 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 0.40/1.06 divide( X, Z ), Y ) ) ] )
% 0.40/1.06 , clause( 175, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 0.40/1.06 divide( divide( X, Z ), Y ) ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.40/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 4, [ 'less_equal'( zero, X ) ] )
% 0.40/1.06 , clause( 176, [ 'less_equal'( zero, X ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 0.40/1.06 ) ] )
% 0.40/1.06 , clause( 177, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X
% 0.40/1.06 , Y ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.40/1.06 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 7, [ ~( 'less_equal'( a, a ) ) ] )
% 0.40/1.06 , clause( 179, [ ~( 'less_equal'( a, a ) ) ] )
% 0.40/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 eqswap(
% 0.40/1.06 clause( 195, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ] )
% 0.40/1.06 , clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 196, [ ~( =( zero, divide( a, a ) ) ) ] )
% 0.40/1.06 , clause( 7, [ ~( 'less_equal'( a, a ) ) ] )
% 0.40/1.06 , 0, clause( 195, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ]
% 0.40/1.06 )
% 0.40/1.06 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, a )] )
% 0.40/1.06 ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 eqswap(
% 0.40/1.06 clause( 197, [ ~( =( divide( a, a ), zero ) ) ] )
% 0.40/1.06 , clause( 196, [ ~( =( zero, divide( a, a ) ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 8, [ ~( =( divide( a, a ), zero ) ) ] )
% 0.40/1.06 , clause( 197, [ ~( =( divide( a, a ), zero ) ) ] )
% 0.40/1.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 eqswap(
% 0.40/1.06 clause( 198, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 0.40/1.06 , clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.40/1.06 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 resolution(
% 0.40/1.06 clause( 199, [ =( zero, divide( divide( X, Y ), X ) ) ] )
% 0.40/1.06 , clause( 198, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 0.40/1.06 , 1, clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, divide( X, Y ) ), :=( Y, X )] ),
% 0.40/1.06 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 eqswap(
% 0.40/1.06 clause( 200, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 0.40/1.06 , clause( 199, [ =( zero, divide( divide( X, Y ), X ) ) ] )
% 0.40/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 9, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 0.40/1.06 , clause( 200, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 0.40/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.40/1.06 )] ) ).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 paramod(
% 0.40/1.06 clause( 204, [ 'less_equal'( divide( divide( X, Y ), zero ), divide( divide(
% 0.40/1.06 X, divide( Y, Z ) ), Y ) ) ] )
% 0.40/1.06 , clause( 9, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 0.40/1.06 , 0, clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 0.40/1.06 divide( divide( X, Z ), Y ) ) ] )
% 0.40/1.06 , 0, 5, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.40/1.06 :=( X, X ), :=( Y, Y ), :=( Z, divide( Y, Z ) )] )).
% 0.40/1.06
% 0.40/1.06
% 0.40/1.06 subsumption(
% 0.40/1.06 clause( 13, [ 'less_equal'( divide( divide( Z, X ), zero ), divide( divide(
% 0.40/1.06 Z, divide( X, Y ) ), X ) ) ] )
% 0.40/1.06 , clause( 204, [ 'less_equal'( divide( divide( X, Y ), zero ), divide(
% 0.40/1.06 divide( X, diCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------