TSTP Solution File: HEN006-6 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HEN006-6 : 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 12:47:05 EDT 2022
% Result : Unsatisfiable 0.72s 1.53s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN006-6 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n020.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 14:54:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.53 *** allocated 10000 integers for termspace/termends
% 0.72/1.53 *** allocated 10000 integers for clauses
% 0.72/1.53 *** allocated 10000 integers for justifications
% 0.72/1.53 Bliksem 1.12
% 0.72/1.53
% 0.72/1.53
% 0.72/1.53 Automatic Strategy Selection
% 0.72/1.53
% 0.72/1.53 Clauses:
% 0.72/1.53 [
% 0.72/1.53 [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ],
% 0.72/1.53 [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ],
% 0.72/1.53 [ 'less_equal'( divide( X, Y ), X ) ],
% 0.72/1.53 [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide( divide(
% 0.72/1.53 X, Z ), Y ) ) ],
% 0.72/1.53 [ 'less_equal'( zero, X ) ],
% 0.72/1.53 [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y ) ],
% 0.72/1.53 [ 'less_equal'( X, identity ) ],
% 0.72/1.53 [ =( divide( X, identity ), zero ) ],
% 0.72/1.53 [ =( divide( zero, X ), zero ) ],
% 0.72/1.53 [ =( divide( X, X ), zero ) ],
% 0.72/1.53 [ 'less_equal'( divide( a, b ), d ) ],
% 0.72/1.53 [ ~( 'less_equal'( divide( a, d ), b ) ) ]
% 0.72/1.53 ] .
% 0.72/1.53
% 0.72/1.53
% 0.72/1.53 percentage equality = 0.375000, percentage horn = 1.000000
% 0.72/1.53 This is a problem with some equality
% 0.72/1.53
% 0.72/1.53
% 0.72/1.53
% 0.72/1.53 Options Used:
% 0.72/1.53
% 0.72/1.53 useres = 1
% 0.72/1.53 useparamod = 1
% 0.72/1.53 useeqrefl = 1
% 0.72/1.53 useeqfact = 1
% 0.72/1.53 usefactor = 1
% 0.72/1.53 usesimpsplitting = 0
% 0.72/1.53 usesimpdemod = 5
% 0.72/1.53 usesimpres = 3
% 0.72/1.53
% 0.72/1.53 resimpinuse = 1000
% 0.72/1.53 resimpclauses = 20000
% 0.72/1.53 substype = eqrewr
% 0.72/1.53 backwardsubs = 1
% 0.72/1.53 selectoldest = 5
% 0.72/1.53
% 0.72/1.53 litorderings [0] = split
% 0.72/1.53 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.53
% 0.72/1.53 termordering = kbo
% 0.72/1.53
% 0.72/1.53 litapriori = 0
% 0.72/1.53 termapriori = 1
% 0.72/1.53 litaposteriori = 0
% 0.72/1.53 termaposteriori = 0
% 0.72/1.53 demodaposteriori = 0
% 0.72/1.53 ordereqreflfact = 0
% 0.72/1.53
% 0.72/1.53 litselect = negord
% 0.72/1.53
% 0.72/1.53 maxweight = 15
% 0.72/1.53 maxdepth = 30000
% 0.72/1.53 maxlength = 115
% 0.72/1.53 maxnrvars = 195
% 0.72/1.53 excuselevel = 1
% 0.72/1.53 increasemaxweight = 1
% 0.72/1.53
% 0.72/1.53 maxselected = 10000000
% 0.72/1.53 maxnrclauses = 10000000
% 0.72/1.53
% 0.72/1.53 showgenerated = 0
% 0.72/1.53 showkept = 0
% 0.72/1.53 showselected = 0
% 0.72/1.53 showdeleted = 0
% 0.72/1.53 showresimp = 1
% 0.72/1.53 showstatus = 2000
% 0.72/1.53
% 0.72/1.53 prologoutput = 1
% 0.72/1.53 nrgoals = 5000000
% 0.72/1.53 totalproof = 1
% 0.72/1.53
% 0.72/1.53 Symbols occurring in the translation:
% 0.72/1.53
% 0.72/1.53 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.53 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.72/1.53 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.72/1.53 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.53 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.53 'less_equal' [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.72/1.53 divide [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.72/1.53 zero [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.72/1.53 identity [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.72/1.53 a [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.72/1.53 b [47, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.72/1.53 d [48, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.72/1.53
% 0.72/1.53
% 0.72/1.53 Starting Search:
% 0.72/1.53
% 0.72/1.53 Resimplifying inuse:
% 0.72/1.53 Done
% 0.72/1.53
% 0.72/1.53
% 0.72/1.53 Intermediate Status:
% 0.72/1.53 Generated: 17415
% 0.72/1.53 Kept: 2001
% 0.72/1.53 Inuse: 206
% 0.72/1.53 Deleted: 9
% 0.72/1.53 Deletedinuse: 8
% 0.72/1.53
% 0.72/1.53 Resimplifying inuse:
% 0.72/1.53 Done
% 0.72/1.53
% 0.72/1.53
% 0.72/1.53 Bliksems!, er is een bewijs:
% 0.72/1.53 % SZS status Unsatisfiable
% 0.72/1.53 % SZS output start Refutation
% 0.72/1.53
% 0.72/1.53 clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.72/1.53 .
% 0.72/1.53 clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.72/1.53 .
% 0.72/1.53 clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 0.72/1.53 .
% 0.72/1.53 clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 0.72/1.53 divide( X, Z ), Y ) ) ] )
% 0.72/1.53 .
% 0.72/1.53 clause( 4, [ 'less_equal'( zero, X ) ] )
% 0.72/1.53 .
% 0.72/1.53 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 0.72/1.53 ) ] )
% 0.72/1.53 .
% 0.72/1.53 clause( 8, [ =( divide( zero, X ), zero ) ] )
% 0.72/1.53 .
% 0.72/1.53 clause( 10, [ 'less_equal'( divide( a, b ), d ) ] )
% 0.72/1.53 .
% 0.72/1.53 clause( 11, [ ~( 'less_equal'( divide( a, d ), b ) ) ] )
% 0.72/1.53 .
% 0.72/1.53 clause( 12, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 0.72/1.53 .
% 0.72/1.53 clause( 14, [ =( divide( divide( a, b ), d ), zero ) ] )
% 0.72/1.53 .
% 0.72/1.53 clause( 16, [ ~( =( divide( divide( a, d ), b ), zero ) ) ] )
% 0.72/1.53 .
% 0.72/1.53 clause( 19, [ 'less_equal'( divide( divide( Z, X ), zero ), divide( divide(
% 0.72/1.53 Z, divide( X, Y ) ), X ) ) ] )
% 0.72/1.53 .
% 0.72/1.53 clause( 29, [ 'less_equal'( divide( divide( a, d ), divide( b, d ) ), zero
% 0.72/1.53 ) ] )
% 0.72/1.53 .
% 0.72/1.53 clause( 35, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 0.72/1.53 .
% 0.72/1.53 clause( 68, [ 'less_equal'( X, Y ), ~( 'less_equal'( X, zero ) ) ] )
% 0.72/1.53 .
% 0.72/1.53 clause( 77, [ 'less_equal'( X, Y ), ~( =( divide( X, zero ), zero ) ) ] )
% 0.72/1.53 .
% 0.72/1.53 clause( 193, [ ~( 'less_equal'( divide( divide( a, d ), b ), zero ) ) ] )
% 0.72/1.53 .
% 0.72/1.53 clause( 376, [ =( divide( divide( a, d ), divide( b, d ) ), zero ) ] )
% 0.72/1.53 .
% 0.72/1.53 clause( 990, [ 'less_equal'( X, Y ), ~( 'less_equal'( divide( X, zero ),
% 0.72/1.53 zero ) ) ] )
% 0.72/1.53 .
% 0.72/1.53 clause( 1011, [ ~( 'less_equal'( divide( divide( divide( a, d ), b ), zero
% 0.72/1.53 ), zero ) ) ] )
% 0.72/1.53 .
% 0.72/1.53 clause( 2862, [] )
% 0.72/1.53 .
% 0.72/1.53
% 0.72/1.53
% 0.72/1.53 % SZS output end Refutation
% 0.72/1.53 found a proof!
% 0.72/1.53
% 0.72/1.53 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.53
% 0.72/1.53 initialclauses(
% 0.72/1.53 [ clause( 2864, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.72/1.53 , clause( 2865, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.72/1.53 , clause( 2866, [ 'less_equal'( divide( X, Y ), X ) ] )
% 0.72/1.53 , clause( 2867, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 0.72/1.53 divide( divide( X, Z ), Y ) ) ] )
% 0.72/1.53 , clause( 2868, [ 'less_equal'( zero, X ) ] )
% 0.72/1.53 , clause( 2869, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =(
% 0.72/1.53 X, Y ) ] )
% 0.72/1.53 , clause( 2870, [ 'less_equal'( X, identity ) ] )
% 0.72/1.53 , clause( 2871, [ =( divide( X, identity ), zero ) ] )
% 0.72/1.53 , clause( 2872, [ =( divide( zero, X ), zero ) ] )
% 0.72/1.53 , clause( 2873, [ =( divide( X, X ), zero ) ] )
% 0.72/1.53 , clause( 2874, [ 'less_equal'( divide( a, b ), d ) ] )
% 0.72/1.53 , clause( 2875, [ ~( 'less_equal'( divide( a, d ), b ) ) ] )
% 0.72/1.53 ] ).
% 0.72/1.53
% 0.72/1.53
% 0.72/1.53
% 0.72/1.53 subsumption(
% 0.72/1.53 clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.72/1.53 , clause( 2864, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.72/1.53 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.53 ), ==>( 1, 1 )] ) ).
% 0.72/1.53
% 0.72/1.53
% 0.72/1.53 subsumption(
% 0.72/1.53 clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.72/1.53 , clause( 2865, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.72/1.53 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.53 ), ==>( 1, 1 )] ) ).
% 0.72/1.53
% 0.72/1.53
% 0.72/1.53 subsumption(
% 0.72/1.53 clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 0.72/1.53 , clause( 2866, [ 'less_equal'( divide( X, Y ), X ) ] )
% 0.72/1.53 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.53 )] ) ).
% 0.72/1.53
% 0.72/1.53
% 0.72/1.53 subsumption(
% 0.72/1.53 clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 0.72/1.53 divide( X, Z ), Y ) ) ] )
% 0.72/1.53 , clause( 2867, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 0.72/1.53 divide( divide( X, Z ), Y ) ) ] )
% 0.72/1.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.53 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.53
% 0.72/1.53
% 0.72/1.53 subsumption(
% 0.72/1.53 clause( 4, [ 'less_equal'( zero, X ) ] )
% 0.72/1.53 , clause( 2868, [ 'less_equal'( zero, X ) ] )
% 0.72/1.53 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.53
% 0.72/1.53
% 0.72/1.53 subsumption(
% 0.72/1.53 clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 0.72/1.53 ) ] )
% 0.72/1.53 , clause( 2869, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =(
% 0.72/1.53 X, Y ) ] )
% 0.72/1.53 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.53 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.72/1.53
% 0.72/1.53
% 0.72/1.53 subsumption(
% 0.72/1.53 clause( 8, [ =( divide( zero, X ), zero ) ] )
% 0.72/1.53 , clause( 2872, [ =( divide( zero, X ), zero ) ] )
% 0.72/1.53 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.53
% 0.72/1.53
% 0.72/1.53 subsumption(
% 0.72/1.53 clause( 10, [ 'less_equal'( divide( a, b ), d ) ] )
% 0.72/1.53 , clause( 2874, [ 'less_equal'( divide( a, b ), d ) ] )
% 0.72/1.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.53
% 0.72/1.53
% 0.72/1.53 subsumption(
% 0.72/1.53 clause( 11, [ ~( 'less_equal'( divide( a, d ), b ) ) ] )
% 0.72/1.53 , clause( 2875, [ ~( 'less_equal'( divide( a, d ), b ) ) ] )
% 0.72/1.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.53
% 0.72/1.53
% 0.72/1.53 eqswap(
% 0.72/1.53 clause( 2905, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 0.72/1.53 , clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.72/1.53 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.53
% 0.72/1.53
% 0.72/1.53 resolution(
% 0.72/1.53 clause( 2906, [ =( zero, divide( divide( X, Y ), X ) ) ] )
% 0.72/1.53 , clause( 2905, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 0.72/1.53 , 1, clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 0.72/1.53 , 0, substitution( 0, [ :=( X, divide( X, Y ) ), :=( Y, X )] ),
% 0.72/1.53 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.53
% 0.72/1.53
% 0.72/1.53 eqswap(
% 0.72/1.53 clause( 2907, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 0.72/1.53 , clause( 2906, [ =( zero, divide( divide( X, Y ), X ) ) ] )
% 0.72/1.53 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.53
% 0.72/1.53
% 0.72/1.53 subsumption(
% 0.72/1.53 clause( 12, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 0.72/1.53 , clause( 2907, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 0.72/1.53 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0,Cputime limit exceeded (core dumped) (core dumped)
% 300.05/300.41 Bliksem ended
% 300.05/300.41 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------