TSTP Solution File: HEN007-4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HEN007-4 : 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 12:47:06 EDT 2022
% Result : Unsatisfiable 0.71s 1.16s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN007-4 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Fri Jul 1 13:03:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.71/1.16 *** allocated 10000 integers for termspace/termends
% 0.71/1.16 *** allocated 10000 integers for clauses
% 0.71/1.16 *** allocated 10000 integers for justifications
% 0.71/1.16 Bliksem 1.12
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 Automatic Strategy Selection
% 0.71/1.16
% 0.71/1.16 Clauses:
% 0.71/1.16 [
% 0.71/1.16 [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ],
% 0.71/1.16 [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ],
% 0.71/1.16 [ 'less_equal'( divide( X, Y ), X ) ],
% 0.71/1.16 [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide( divide(
% 0.71/1.16 X, Z ), Y ) ) ],
% 0.71/1.16 [ 'less_equal'( zero, X ) ],
% 0.71/1.16 [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y ) ],
% 0.71/1.16 [ 'less_equal'( X, identity ) ],
% 0.71/1.16 [ =( divide( X, identity ), zero ) ],
% 0.71/1.16 [ =( divide( zero, X ), zero ) ],
% 0.71/1.16 [ =( divide( X, X ), zero ) ],
% 0.71/1.16 [ =( divide( a, zero ), a ) ],
% 0.71/1.16 [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ), 'less_equal'( X
% 0.71/1.16 , Z ) ],
% 0.71/1.16 [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'( divide( X, Z ),
% 0.71/1.16 Y ) ],
% 0.71/1.16 [ 'less_equal'( a, b ) ],
% 0.71/1.16 [ ~( 'less_equal'( divide( c, b ), divide( c, a ) ) ) ]
% 0.71/1.16 ] .
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 percentage equality = 0.318182, percentage horn = 1.000000
% 0.71/1.16 This is a problem with some equality
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 Options Used:
% 0.71/1.16
% 0.71/1.16 useres = 1
% 0.71/1.16 useparamod = 1
% 0.71/1.16 useeqrefl = 1
% 0.71/1.16 useeqfact = 1
% 0.71/1.16 usefactor = 1
% 0.71/1.16 usesimpsplitting = 0
% 0.71/1.16 usesimpdemod = 5
% 0.71/1.16 usesimpres = 3
% 0.71/1.16
% 0.71/1.16 resimpinuse = 1000
% 0.71/1.16 resimpclauses = 20000
% 0.71/1.16 substype = eqrewr
% 0.71/1.16 backwardsubs = 1
% 0.71/1.16 selectoldest = 5
% 0.71/1.16
% 0.71/1.16 litorderings [0] = split
% 0.71/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.16
% 0.71/1.16 termordering = kbo
% 0.71/1.16
% 0.71/1.16 litapriori = 0
% 0.71/1.16 termapriori = 1
% 0.71/1.16 litaposteriori = 0
% 0.71/1.16 termaposteriori = 0
% 0.71/1.16 demodaposteriori = 0
% 0.71/1.16 ordereqreflfact = 0
% 0.71/1.16
% 0.71/1.16 litselect = negord
% 0.71/1.16
% 0.71/1.16 maxweight = 15
% 0.71/1.16 maxdepth = 30000
% 0.71/1.16 maxlength = 115
% 0.71/1.16 maxnrvars = 195
% 0.71/1.16 excuselevel = 1
% 0.71/1.16 increasemaxweight = 1
% 0.71/1.16
% 0.71/1.16 maxselected = 10000000
% 0.71/1.16 maxnrclauses = 10000000
% 0.71/1.16
% 0.71/1.16 showgenerated = 0
% 0.71/1.16 showkept = 0
% 0.71/1.16 showselected = 0
% 0.71/1.16 showdeleted = 0
% 0.71/1.16 showresimp = 1
% 0.71/1.16 showstatus = 2000
% 0.71/1.16
% 0.71/1.16 prologoutput = 1
% 0.71/1.16 nrgoals = 5000000
% 0.71/1.16 totalproof = 1
% 0.71/1.16
% 0.71/1.16 Symbols occurring in the translation:
% 0.71/1.16
% 0.71/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.16 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.71/1.16 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.71/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.16 'less_equal' [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.71/1.16 divide [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.71/1.16 zero [43, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.71/1.16 identity [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.71/1.16 a [46, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.71/1.16 b [47, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.71/1.16 c [48, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 Starting Search:
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 Bliksems!, er is een bewijs:
% 0.71/1.16 % SZS status Unsatisfiable
% 0.71/1.16 % SZS output start Refutation
% 0.71/1.16
% 0.71/1.16 clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.71/1.16 .
% 0.71/1.16 clause( 9, [ =( divide( X, X ), zero ) ] )
% 0.71/1.16 .
% 0.71/1.16 clause( 11, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 0.71/1.16 'less_equal'( X, Z ) ] )
% 0.71/1.16 .
% 0.71/1.16 clause( 12, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'( divide(
% 0.71/1.16 X, Z ), Y ) ] )
% 0.71/1.16 .
% 0.71/1.16 clause( 13, [ 'less_equal'( a, b ) ] )
% 0.71/1.16 .
% 0.71/1.16 clause( 14, [ ~( 'less_equal'( divide( c, b ), divide( c, a ) ) ) ] )
% 0.71/1.16 .
% 0.71/1.16 clause( 19, [ 'less_equal'( X, X ) ] )
% 0.71/1.16 .
% 0.71/1.16 clause( 107, [ ~( 'less_equal'( X, a ) ), 'less_equal'( X, b ) ] )
% 0.71/1.16 .
% 0.71/1.16 clause( 131, [ 'less_equal'( divide( X, divide( X, Y ) ), Y ) ] )
% 0.71/1.16 .
% 0.71/1.16 clause( 448, [ 'less_equal'( divide( X, divide( X, a ) ), b ) ] )
% 0.71/1.16 .
% 0.71/1.16 clause( 760, [ 'less_equal'( divide( X, b ), divide( X, a ) ) ] )
% 0.71/1.16 .
% 0.71/1.16 clause( 775, [] )
% 0.71/1.16 .
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 % SZS output end Refutation
% 0.71/1.16 found a proof!
% 0.71/1.16
% 0.71/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.16
% 0.71/1.16 initialclauses(
% 0.71/1.16 [ clause( 777, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.71/1.16 , clause( 778, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.71/1.16 , clause( 779, [ 'less_equal'( divide( X, Y ), X ) ] )
% 0.71/1.16 , clause( 780, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ),
% 0.71/1.16 divide( divide( X, Z ), Y ) ) ] )
% 0.71/1.16 , clause( 781, [ 'less_equal'( zero, X ) ] )
% 0.71/1.16 , clause( 782, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X
% 0.71/1.16 , Y ) ] )
% 0.71/1.16 , clause( 783, [ 'less_equal'( X, identity ) ] )
% 0.71/1.16 , clause( 784, [ =( divide( X, identity ), zero ) ] )
% 0.71/1.16 , clause( 785, [ =( divide( zero, X ), zero ) ] )
% 0.71/1.16 , clause( 786, [ =( divide( X, X ), zero ) ] )
% 0.71/1.16 , clause( 787, [ =( divide( a, zero ), a ) ] )
% 0.71/1.16 , clause( 788, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 0.71/1.16 'less_equal'( X, Z ) ] )
% 0.71/1.16 , clause( 789, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'(
% 0.71/1.16 divide( X, Z ), Y ) ] )
% 0.71/1.16 , clause( 790, [ 'less_equal'( a, b ) ] )
% 0.71/1.16 , clause( 791, [ ~( 'less_equal'( divide( c, b ), divide( c, a ) ) ) ] )
% 0.71/1.16 ] ).
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 subsumption(
% 0.71/1.16 clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.71/1.16 , clause( 778, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.71/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.16 ), ==>( 1, 1 )] ) ).
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 subsumption(
% 0.71/1.16 clause( 9, [ =( divide( X, X ), zero ) ] )
% 0.71/1.16 , clause( 786, [ =( divide( X, X ), zero ) ] )
% 0.71/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 subsumption(
% 0.71/1.16 clause( 11, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 0.71/1.16 'less_equal'( X, Z ) ] )
% 0.71/1.16 , clause( 788, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 0.71/1.16 'less_equal'( X, Z ) ] )
% 0.71/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.16 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 subsumption(
% 0.71/1.16 clause( 12, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'( divide(
% 0.71/1.16 X, Z ), Y ) ] )
% 0.71/1.16 , clause( 789, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'(
% 0.71/1.16 divide( X, Z ), Y ) ] )
% 0.71/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.71/1.16 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 subsumption(
% 0.71/1.16 clause( 13, [ 'less_equal'( a, b ) ] )
% 0.71/1.16 , clause( 790, [ 'less_equal'( a, b ) ] )
% 0.71/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 subsumption(
% 0.71/1.16 clause( 14, [ ~( 'less_equal'( divide( c, b ), divide( c, a ) ) ) ] )
% 0.71/1.16 , clause( 791, [ ~( 'less_equal'( divide( c, b ), divide( c, a ) ) ) ] )
% 0.71/1.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 eqswap(
% 0.71/1.16 clause( 832, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ] )
% 0.71/1.16 , clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.71/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 eqswap(
% 0.71/1.16 clause( 833, [ =( zero, divide( X, X ) ) ] )
% 0.71/1.16 , clause( 9, [ =( divide( X, X ), zero ) ] )
% 0.71/1.16 , 0, substitution( 0, [ :=( X, X )] )).
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 resolution(
% 0.71/1.16 clause( 834, [ 'less_equal'( X, X ) ] )
% 0.71/1.16 , clause( 832, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ] )
% 0.71/1.16 , 0, clause( 833, [ =( zero, divide( X, X ) ) ] )
% 0.71/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.71/1.16 , X )] )).
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 subsumption(
% 0.71/1.16 clause( 19, [ 'less_equal'( X, X ) ] )
% 0.71/1.16 , clause( 834, [ 'less_equal'( X, X ) ] )
% 0.71/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 resolution(
% 0.71/1.16 clause( 836, [ ~( 'less_equal'( X, a ) ), 'less_equal'( X, b ) ] )
% 0.71/1.16 , clause( 11, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, Z ) ),
% 0.71/1.16 'less_equal'( X, Z ) ] )
% 0.71/1.16 , 1, clause( 13, [ 'less_equal'( a, b ) ] )
% 0.71/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, a ), :=( Z, b )] ),
% 0.71/1.16 substitution( 1, [] )).
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 subsumption(
% 0.71/1.16 clause( 107, [ ~( 'less_equal'( X, a ) ), 'less_equal'( X, b ) ] )
% 0.71/1.16 , clause( 836, [ ~( 'less_equal'( X, a ) ), 'less_equal'( X, b ) ] )
% 0.71/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.71/1.16 1 )] ) ).
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 resolution(
% 0.71/1.16 clause( 837, [ 'less_equal'( divide( X, divide( X, Y ) ), Y ) ] )
% 0.71/1.16 , clause( 12, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'(
% 0.71/1.16 divide( X, Z ), Y ) ] )
% 0.71/1.16 , 0, clause( 19, [ 'less_equal'( X, X ) ] )
% 0.71/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, divide( X, Y ) )] )
% 0.71/1.16 , substitution( 1, [ :=( X, divide( X, Y ) )] )).
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 subsumption(
% 0.71/1.16 clause( 131, [ 'less_equal'( divide( X, divide( X, Y ) ), Y ) ] )
% 0.71/1.16 , clause( 837, [ 'less_equal'( divide( X, divide( X, Y ) ), Y ) ] )
% 0.71/1.16 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.16 )] ) ).
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 resolution(
% 0.71/1.16 clause( 838, [ 'less_equal'( divide( X, divide( X, a ) ), b ) ] )
% 0.71/1.16 , clause( 107, [ ~( 'less_equal'( X, a ) ), 'less_equal'( X, b ) ] )
% 0.71/1.16 , 0, clause( 131, [ 'less_equal'( divide( X, divide( X, Y ) ), Y ) ] )
% 0.71/1.16 , 0, substitution( 0, [ :=( X, divide( X, divide( X, a ) ) )] ),
% 0.71/1.16 substitution( 1, [ :=( X, X ), :=( Y, a )] )).
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 subsumption(
% 0.71/1.16 clause( 448, [ 'less_equal'( divide( X, divide( X, a ) ), b ) ] )
% 0.71/1.16 , clause( 838, [ 'less_equal'( divide( X, divide( X, a ) ), b ) ] )
% 0.71/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 resolution(
% 0.71/1.16 clause( 839, [ 'less_equal'( divide( X, b ), divide( X, a ) ) ] )
% 0.71/1.16 , clause( 12, [ ~( 'less_equal'( divide( X, Y ), Z ) ), 'less_equal'(
% 0.71/1.16 divide( X, Z ), Y ) ] )
% 0.71/1.16 , 0, clause( 448, [ 'less_equal'( divide( X, divide( X, a ) ), b ) ] )
% 0.71/1.16 , 0, substitution( 0, [ :=( X, X ), :=( Y, divide( X, a ) ), :=( Z, b )] )
% 0.71/1.16 , substitution( 1, [ :=( X, X )] )).
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 subsumption(
% 0.71/1.16 clause( 760, [ 'less_equal'( divide( X, b ), divide( X, a ) ) ] )
% 0.71/1.16 , clause( 839, [ 'less_equal'( divide( X, b ), divide( X, a ) ) ] )
% 0.71/1.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 resolution(
% 0.71/1.16 clause( 840, [] )
% 0.71/1.16 , clause( 14, [ ~( 'less_equal'( divide( c, b ), divide( c, a ) ) ) ] )
% 0.71/1.16 , 0, clause( 760, [ 'less_equal'( divide( X, b ), divide( X, a ) ) ] )
% 0.71/1.16 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, c )] )).
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 subsumption(
% 0.71/1.16 clause( 775, [] )
% 0.71/1.16 , clause( 840, [] )
% 0.71/1.16 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 end.
% 0.71/1.16
% 0.71/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.16
% 0.71/1.16 Memory use:
% 0.71/1.16
% 0.71/1.16 space for terms: 9710
% 0.71/1.16 space for clauses: 42172
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 clauses generated: 5369
% 0.71/1.16 clauses kept: 776
% 0.71/1.16 clauses selected: 125
% 0.71/1.16 clauses deleted: 10
% 0.71/1.16 clauses inuse deleted: 0
% 0.71/1.16
% 0.71/1.16 subsentry: 10701
% 0.71/1.16 literals s-matched: 6954
% 0.71/1.16 literals matched: 6952
% 0.71/1.16 full subsumption: 1266
% 0.71/1.16
% 0.71/1.16 checksum: 929851473
% 0.71/1.16
% 0.71/1.16
% 0.71/1.16 Bliksem ended
%------------------------------------------------------------------------------