%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HEN006-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 1.08s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN006-5 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n010.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 14:34:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.08 *** allocated 10000 integers for termspace/termends
% 0.72/1.08 *** allocated 10000 integers for clauses
% 0.72/1.08 *** allocated 10000 integers for justifications
% 0.72/1.08 Bliksem 1.12
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Automatic Strategy Selection
% 0.72/1.08
% 0.72/1.08 Clauses:
% 0.72/1.08 [
% 0.72/1.08 [ =( divide( divide( X, Y ), X ), zero ) ],
% 0.72/1.08 [ =( divide( divide( divide( X, Y ), divide( Z, Y ) ), divide( divide( X
% 0.72/1.08 , Z ), Y ) ), zero ) ],
% 0.72/1.08 [ =( divide( zero, X ), zero ) ],
% 0.72/1.08 [ ~( =( divide( X, Y ), zero ) ), ~( =( divide( Y, X ), zero ) ), =( X,
% 0.72/1.08 Y ) ],
% 0.72/1.08 [ =( divide( X, identity ), zero ) ],
% 0.72/1.08 [ =( divide( X, zero ), X ) ],
% 0.72/1.08 [ =( divide( divide( a, b ), d ), zero ) ],
% 0.72/1.08 [ ~( =( divide( divide( a, d ), b ), zero ) ) ]
% 0.72/1.08 ] .
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 percentage equality = 1.000000, percentage horn = 1.000000
% 0.72/1.08 This is a pure equality problem
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Options Used:
% 0.72/1.08
% 0.72/1.08 useres = 1
% 0.72/1.08 useparamod = 1
% 0.72/1.08 useeqrefl = 1
% 0.72/1.08 useeqfact = 1
% 0.72/1.08 usefactor = 1
% 0.72/1.08 usesimpsplitting = 0
% 0.72/1.08 usesimpdemod = 5
% 0.72/1.08 usesimpres = 3
% 0.72/1.08
% 0.72/1.08 resimpinuse = 1000
% 0.72/1.08 resimpclauses = 20000
% 0.72/1.08 substype = eqrewr
% 0.72/1.08 backwardsubs = 1
% 0.72/1.08 selectoldest = 5
% 0.72/1.08
% 0.72/1.08 litorderings [0] = split
% 0.72/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.08
% 0.72/1.08 termordering = kbo
% 0.72/1.08
% 0.72/1.08 litapriori = 0
% 0.72/1.08 termapriori = 1
% 0.72/1.08 litaposteriori = 0
% 0.72/1.08 termaposteriori = 0
% 0.72/1.08 demodaposteriori = 0
% 0.72/1.08 ordereqreflfact = 0
% 0.72/1.08
% 0.72/1.08 litselect = negord
% 0.72/1.08
% 0.72/1.08 maxweight = 15
% 0.72/1.08 maxdepth = 30000
% 0.72/1.08 maxlength = 115
% 0.72/1.08 maxnrvars = 195
% 0.72/1.08 excuselevel = 1
% 0.72/1.08 increasemaxweight = 1
% 0.72/1.08
% 0.72/1.08 maxselected = 10000000
% 0.72/1.08 maxnrclauses = 10000000
% 0.72/1.08
% 0.72/1.08 showgenerated = 0
% 0.72/1.08 showkept = 0
% 0.72/1.08 showselected = 0
% 0.72/1.08 showdeleted = 0
% 0.72/1.08 showresimp = 1
% 0.72/1.08 showstatus = 2000
% 0.72/1.08
% 0.72/1.08 prologoutput = 1
% 0.72/1.08 nrgoals = 5000000
% 0.72/1.08 totalproof = 1
% 0.72/1.08
% 0.72/1.08 Symbols occurring in the translation:
% 0.72/1.08
% 0.72/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.08 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.72/1.08 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.72/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.08 divide [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.72/1.08 zero [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.72/1.08 identity [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.72/1.08 a [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.72/1.08 b [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.72/1.08 d [47, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Starting Search:
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Bliksems!, er is een bewijs:
% 0.72/1.08 % SZS status Unsatisfiable
% 0.72/1.08 % SZS output start Refutation
% 0.72/1.08
% 0.72/1.08 clause( 0, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 1, [ =( divide( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 0.72/1.08 divide( X, Z ), Y ) ), zero ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 2, [ =( divide( zero, X ), zero ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 5, [ =( divide( X, zero ), X ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 6, [ =( divide( divide( a, b ), d ), zero ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 7, [ ~( =( divide( divide( a, d ), b ), zero ) ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 14, [ =( divide( divide( Z, X ), divide( divide( Z, divide( X, Y )
% 0.72/1.08 ), X ) ), zero ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 18, [ =( divide( divide( a, d ), divide( b, d ) ), zero ) ] )
% 0.72/1.08 .
% 0.72/1.08 clause( 130, [] )
% 0.72/1.08 .
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 % SZS output end Refutation
% 0.72/1.08 found a proof!
% 0.72/1.08
% 0.72/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.08
% 0.72/1.08 initialclauses(
% 0.72/1.08 [ clause( 132, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 0.72/1.08 , clause( 133, [ =( divide( divide( divide( X, Y ), divide( Z, Y ) ),
% 0.72/1.08 divide( divide( X, Z ), Y ) ), zero ) ] )
% 0.72/1.08 , clause( 134, [ =( divide( zero, X ), zero ) ] )
% 0.72/1.08 , clause( 135, [ ~( =( divide( X, Y ), zero ) ), ~( =( divide( Y, X ), zero
% 0.72/1.08 ) ), =( X, Y ) ] )
% 0.72/1.08 , clause( 136, [ =( divide( X, identity ), zero ) ] )
% 0.72/1.08 , clause( 137, [ =( divide( X, zero ), X ) ] )
% 0.72/1.08 , clause( 138, [ =( divide( divide( a, b ), d ), zero ) ] )
% 0.72/1.08 , clause( 139, [ ~( =( divide( divide( a, d ), b ), zero ) ) ] )
% 0.72/1.08 ] ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 0, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 0.72/1.08 , clause( 132, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 1, [ =( divide( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 0.72/1.08 divide( X, Z ), Y ) ), zero ) ] )
% 0.72/1.08 , clause( 133, [ =( divide( divide( divide( X, Y ), divide( Z, Y ) ),
% 0.72/1.08 divide( divide( X, Z ), Y ) ), zero ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 2, [ =( divide( zero, X ), zero ) ] )
% 0.72/1.08 , clause( 134, [ =( divide( zero, X ), zero ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 5, [ =( divide( X, zero ), X ) ] )
% 0.72/1.08 , clause( 137, [ =( divide( X, zero ), X ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 6, [ =( divide( divide( a, b ), d ), zero ) ] )
% 0.72/1.08 , clause( 138, [ =( divide( divide( a, b ), d ), zero ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 7, [ ~( =( divide( divide( a, d ), b ), zero ) ) ] )
% 0.72/1.08 , clause( 139, [ ~( =( divide( divide( a, d ), b ), zero ) ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 180, [ =( zero, divide( divide( divide( X, Y ), divide( Z, Y ) ),
% 0.72/1.08 divide( divide( X, Z ), Y ) ) ) ] )
% 0.72/1.08 , clause( 1, [ =( divide( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 0.72/1.08 divide( X, Z ), Y ) ), zero ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 185, [ =( zero, divide( divide( divide( X, Y ), zero ), divide(
% 0.72/1.08 divide( X, divide( Y, Z ) ), Y ) ) ) ] )
% 0.72/1.08 , clause( 0, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 0.72/1.08 , 0, clause( 180, [ =( zero, divide( divide( divide( X, Y ), divide( Z, Y )
% 0.72/1.08 ), divide( divide( X, Z ), Y ) ) ) ] )
% 0.72/1.08 , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [
% 0.72/1.08 :=( X, X ), :=( Y, Y ), :=( Z, divide( Y, Z ) )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 191, [ =( zero, divide( divide( X, Y ), divide( divide( X, divide(
% 0.72/1.08 Y, Z ) ), Y ) ) ) ] )
% 0.72/1.08 , clause( 5, [ =( divide( X, zero ), X ) ] )
% 0.72/1.08 , 0, clause( 185, [ =( zero, divide( divide( divide( X, Y ), zero ), divide(
% 0.72/1.08 divide( X, divide( Y, Z ) ), Y ) ) ) ] )
% 0.72/1.08 , 0, 3, substitution( 0, [ :=( X, divide( X, Y ) )] ), substitution( 1, [
% 0.72/1.08 :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 192, [ =( divide( divide( X, Y ), divide( divide( X, divide( Y, Z )
% 0.72/1.08 ), Y ) ), zero ) ] )
% 0.72/1.08 , clause( 191, [ =( zero, divide( divide( X, Y ), divide( divide( X, divide(
% 0.72/1.08 Y, Z ) ), Y ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 14, [ =( divide( divide( Z, X ), divide( divide( Z, divide( X, Y )
% 0.72/1.08 ), X ) ), zero ) ] )
% 0.72/1.08 , clause( 192, [ =( divide( divide( X, Y ), divide( divide( X, divide( Y, Z
% 0.72/1.08 ) ), Y ) ), zero ) ] )
% 0.72/1.08 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 0.72/1.08 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 194, [ =( zero, divide( divide( divide( X, Y ), divide( Z, Y ) ),
% 0.72/1.08 divide( divide( X, Z ), Y ) ) ) ] )
% 0.72/1.08 , clause( 1, [ =( divide( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 0.72/1.08 divide( X, Z ), Y ) ), zero ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 198, [ =( zero, divide( divide( divide( a, d ), divide( b, d ) ),
% 0.72/1.08 zero ) ) ] )
% 0.72/1.08 , clause( 6, [ =( divide( divide( a, b ), d ), zero ) ] )
% 0.72/1.08 , 0, clause( 194, [ =( zero, divide( divide( divide( X, Y ), divide( Z, Y )
% 0.72/1.08 ), divide( divide( X, Z ), Y ) ) ) ] )
% 0.72/1.08 , 0, 10, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, d ),
% 0.72/1.08 :=( Z, b )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 200, [ =( zero, divide( divide( a, d ), divide( b, d ) ) ) ] )
% 0.72/1.08 , clause( 5, [ =( divide( X, zero ), X ) ] )
% 0.72/1.08 , 0, clause( 198, [ =( zero, divide( divide( divide( a, d ), divide( b, d )
% 0.72/1.08 ), zero ) ) ] )
% 0.72/1.08 , 0, 2, substitution( 0, [ :=( X, divide( divide( a, d ), divide( b, d ) )
% 0.72/1.08 )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 201, [ =( divide( divide( a, d ), divide( b, d ) ), zero ) ] )
% 0.72/1.08 , clause( 200, [ =( zero, divide( divide( a, d ), divide( b, d ) ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 18, [ =( divide( divide( a, d ), divide( b, d ) ), zero ) ] )
% 0.72/1.08 , clause( 201, [ =( divide( divide( a, d ), divide( b, d ) ), zero ) ] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 203, [ =( zero, divide( divide( X, Y ), divide( divide( X, divide(
% 0.72/1.08 Y, Z ) ), Y ) ) ) ] )
% 0.72/1.08 , clause( 14, [ =( divide( divide( Z, X ), divide( divide( Z, divide( X, Y
% 0.72/1.08 ) ), X ) ), zero ) ] )
% 0.72/1.08 , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 eqswap(
% 0.72/1.08 clause( 206, [ ~( =( zero, divide( divide( a, d ), b ) ) ) ] )
% 0.72/1.08 , clause( 7, [ ~( =( divide( divide( a, d ), b ), zero ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 208, [ =( zero, divide( divide( divide( a, d ), b ), divide( zero,
% 0.72/1.08 b ) ) ) ] )
% 0.72/1.08 , clause( 18, [ =( divide( divide( a, d ), divide( b, d ) ), zero ) ] )
% 0.72/1.08 , 0, clause( 203, [ =( zero, divide( divide( X, Y ), divide( divide( X,
% 0.72/1.08 divide( Y, Z ) ), Y ) ) ) ] )
% 0.72/1.08 , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, divide( a, d ) ),
% 0.72/1.08 :=( Y, b ), :=( Z, d )] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 210, [ =( zero, divide( divide( divide( a, d ), b ), zero ) ) ] )
% 0.72/1.08 , clause( 2, [ =( divide( zero, X ), zero ) ] )
% 0.72/1.08 , 0, clause( 208, [ =( zero, divide( divide( divide( a, d ), b ), divide(
% 0.72/1.08 zero, b ) ) ) ] )
% 0.72/1.08 , 0, 8, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 paramod(
% 0.72/1.08 clause( 211, [ =( zero, divide( divide( a, d ), b ) ) ] )
% 0.72/1.08 , clause( 5, [ =( divide( X, zero ), X ) ] )
% 0.72/1.08 , 0, clause( 210, [ =( zero, divide( divide( divide( a, d ), b ), zero ) )
% 0.72/1.08 ] )
% 0.72/1.08 , 0, 2, substitution( 0, [ :=( X, divide( divide( a, d ), b ) )] ),
% 0.72/1.08 substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 resolution(
% 0.72/1.08 clause( 212, [] )
% 0.72/1.08 , clause( 206, [ ~( =( zero, divide( divide( a, d ), b ) ) ) ] )
% 0.72/1.08 , 0, clause( 211, [ =( zero, divide( divide( a, d ), b ) ) ] )
% 0.72/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 subsumption(
% 0.72/1.08 clause( 130, [] )
% 0.72/1.08 , clause( 212, [] )
% 0.72/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 end.
% 0.72/1.08
% 0.72/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.08
% 0.72/1.08 Memory use:
% 0.72/1.08
% 0.72/1.08 space for terms: 1949
% 0.72/1.08 space for clauses: 9860
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 clauses generated: 2501
% 0.72/1.08 clauses kept: 131
% 0.72/1.08 clauses selected: 37
% 0.72/1.08 clauses deleted: 4
% 0.72/1.08 clauses inuse deleted: 0
% 0.72/1.08
% 0.72/1.08 subsentry: 2790
% 0.72/1.08 literals s-matched: 2106
% 0.72/1.08 literals matched: 2106
% 0.72/1.08 full subsumption: 931
% 0.72/1.08
% 0.72/1.08 checksum: -1367445003
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Bliksem ended
%------------------------------------------------------------------------------