TSTP Solution File: HEN010-5 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HEN010-5 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 12:47:11 EDT 2022
% Result : Unsatisfiable 1.46s 1.82s
% Output : Refutation 1.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN010-5 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n016.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 14:35:42 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.46/1.82 *** allocated 10000 integers for termspace/termends
% 1.46/1.82 *** allocated 10000 integers for clauses
% 1.46/1.82 *** allocated 10000 integers for justifications
% 1.46/1.82 Bliksem 1.12
% 1.46/1.82
% 1.46/1.82
% 1.46/1.82 Automatic Strategy Selection
% 1.46/1.82
% 1.46/1.82 Clauses:
% 1.46/1.82 [
% 1.46/1.82 [ =( divide( divide( X, Y ), X ), zero ) ],
% 1.46/1.82 [ =( divide( divide( divide( X, Y ), divide( Z, Y ) ), divide( divide( X
% 1.46/1.82 , Z ), Y ) ), zero ) ],
% 1.46/1.82 [ =( divide( zero, X ), zero ) ],
% 1.46/1.82 [ ~( =( divide( X, Y ), zero ) ), ~( =( divide( Y, X ), zero ) ), =( X,
% 1.46/1.82 Y ) ],
% 1.46/1.82 [ =( divide( X, identity ), zero ) ],
% 1.46/1.82 [ ~( =( divide( X, Y ), zero ) ), ~( =( divide( Y, Z ), zero ) ), =(
% 1.46/1.82 divide( X, Z ), zero ) ],
% 1.46/1.82 [ ~( =( divide( divide( X, Y ), Z ), zero ) ), =( divide( divide( X, Z )
% 1.46/1.82 , Y ), zero ) ],
% 1.46/1.82 [ ~( =( divide( X, Y ), zero ) ), =( divide( divide( X, Z ), divide( Y,
% 1.46/1.82 Z ) ), zero ) ],
% 1.46/1.82 [ ~( =( divide( identity, a ), divide( divide( identity, a ), divide(
% 1.46/1.82 identity, divide( identity, a ) ) ) ) ) ]
% 1.46/1.82 ] .
% 1.46/1.82
% 1.46/1.82
% 1.46/1.82 percentage equality = 1.000000, percentage horn = 1.000000
% 1.46/1.82 This is a pure equality problem
% 1.46/1.82
% 1.46/1.82
% 1.46/1.82
% 1.46/1.82 Options Used:
% 1.46/1.82
% 1.46/1.82 useres = 1
% 1.46/1.82 useparamod = 1
% 1.46/1.82 useeqrefl = 1
% 1.46/1.82 useeqfact = 1
% 1.46/1.82 usefactor = 1
% 1.46/1.82 usesimpsplitting = 0
% 1.46/1.82 usesimpdemod = 5
% 1.46/1.82 usesimpres = 3
% 1.46/1.82
% 1.46/1.82 resimpinuse = 1000
% 1.46/1.82 resimpclauses = 20000
% 1.46/1.82 substype = eqrewr
% 1.46/1.82 backwardsubs = 1
% 1.46/1.82 selectoldest = 5
% 1.46/1.82
% 1.46/1.82 litorderings [0] = split
% 1.46/1.82 litorderings [1] = extend the termordering, first sorting on arguments
% 1.46/1.82
% 1.46/1.82 termordering = kbo
% 1.46/1.82
% 1.46/1.82 litapriori = 0
% 1.46/1.82 termapriori = 1
% 1.46/1.82 litaposteriori = 0
% 1.46/1.82 termaposteriori = 0
% 1.46/1.82 demodaposteriori = 0
% 1.46/1.82 ordereqreflfact = 0
% 1.46/1.82
% 1.46/1.82 litselect = negord
% 1.46/1.82
% 1.46/1.82 maxweight = 15
% 1.46/1.82 maxdepth = 30000
% 1.46/1.82 maxlength = 115
% 1.46/1.82 maxnrvars = 195
% 1.46/1.82 excuselevel = 1
% 1.46/1.82 increasemaxweight = 1
% 1.46/1.82
% 1.46/1.82 maxselected = 10000000
% 1.46/1.82 maxnrclauses = 10000000
% 1.46/1.82
% 1.46/1.82 showgenerated = 0
% 1.46/1.82 showkept = 0
% 1.46/1.82 showselected = 0
% 1.46/1.82 showdeleted = 0
% 1.46/1.82 showresimp = 1
% 1.46/1.82 showstatus = 2000
% 1.46/1.82
% 1.46/1.82 prologoutput = 1
% 1.46/1.82 nrgoals = 5000000
% 1.46/1.82 totalproof = 1
% 1.46/1.82
% 1.46/1.82 Symbols occurring in the translation:
% 1.46/1.82
% 1.46/1.82 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.46/1.82 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 1.46/1.82 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 1.46/1.82 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.46/1.82 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.46/1.82 divide [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 1.46/1.82 zero [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.46/1.82 identity [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.46/1.82 a [45, 0] (w:1, o:14, a:1, s:1, b:0).
% 1.46/1.82
% 1.46/1.82
% 1.46/1.82 Starting Search:
% 1.46/1.82
% 1.46/1.82
% 1.46/1.82 Bliksems!, er is een bewijs:
% 1.46/1.82 % SZS status Unsatisfiable
% 1.46/1.82 % SZS output start Refutation
% 1.46/1.82
% 1.46/1.82 clause( 0, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 1.46/1.82 .
% 1.46/1.82 clause( 1, [ =( divide( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 1.46/1.82 divide( X, Z ), Y ) ), zero ) ] )
% 1.46/1.82 .
% 1.46/1.82 clause( 2, [ =( divide( zero, X ), zero ) ] )
% 1.46/1.82 .
% 1.46/1.82 clause( 3, [ ~( =( divide( X, Y ), zero ) ), ~( =( divide( Y, X ), zero ) )
% 1.46/1.82 , =( X, Y ) ] )
% 1.46/1.82 .
% 1.46/1.82 clause( 4, [ =( divide( X, identity ), zero ) ] )
% 1.46/1.82 .
% 1.46/1.82 clause( 5, [ ~( =( divide( X, Y ), zero ) ), ~( =( divide( Y, Z ), zero ) )
% 1.46/1.82 , =( divide( X, Z ), zero ) ] )
% 1.46/1.82 .
% 1.46/1.82 clause( 6, [ ~( =( divide( divide( X, Y ), Z ), zero ) ), =( divide( divide(
% 1.46/1.82 X, Z ), Y ), zero ) ] )
% 1.46/1.82 .
% 1.46/1.82 clause( 7, [ ~( =( divide( X, Y ), zero ) ), =( divide( divide( X, Z ),
% 1.46/1.82 divide( Y, Z ) ), zero ) ] )
% 1.46/1.82 .
% 1.46/1.82 clause( 8, [ ~( =( divide( divide( identity, a ), divide( identity, divide(
% 1.46/1.82 identity, a ) ) ), divide( identity, a ) ) ) ] )
% 1.46/1.82 .
% 1.46/1.82 clause( 10, [ ~( =( divide( X, zero ), zero ) ), =( zero, X ) ] )
% 1.46/1.82 .
% 1.46/1.82 clause( 14, [ =( divide( X, Y ), X ), ~( =( divide( X, zero ), zero ) ) ]
% 1.46/1.82 )
% 1.46/1.82 .
% 1.46/1.82 clause( 19, [ ~( =( divide( divide( divide( X, Y ), Z ), divide( divide( X
% 1.46/1.82 , Z ), divide( Y, Z ) ) ), zero ) ), =( divide( divide( X, Z ), divide( Y
% 1.46/1.82 , Z ) ), divide( divide( X, Y ), Z ) ) ] )
% 1.46/1.82 .
% 1.46/1.82 clause( 61, [ ~( =( divide( X, divide( divide( Y, Z ), divide( T, Z ) ) ),
% 1.46/1.82 zero ) ), =( divide( X, divide( divide( Y, T ), Z ) ), zero ) ] )
% 1.46/1.82 .
% 1.46/1.82 clause( 91, [ =( divide( divide( X, X ), Y ), zero ) ] )
% 1.46/1.82 .
% 1.46/1.82 clause( 101, [ =( divide( X, X ), zero ) ] )
% 1.46/1.82 .
% 1.46/1.82 clause( 102, [ =( divide( divide( X, divide( X, Y ) ), Y ), zero ) ] )
% 1.46/1.82 .
% 1.46/1.82 clause( 113, [ =( divide( X, divide( X, zero ) ), zero ) ] )
% 1.46/1.82 .
% 1.46/1.82 clause( 129, [ =( divide( divide( divide( X, Y ), Z ), divide( X, Z ) ),
% 1.46/1.82 zero ) ] )
% 1.46/1.82 .
% 1.46/1.82 clause( 130, [ =( divide( divide( X, Y ), divide( identity, Y ) ), zero ) ]
% 1.46/1.82 )
% 1.46/1.82 .
% 1.46/1.82 clause( 145, [ =( divide( X, zero ), X ) ] )
% 1.46/1.82 .
% 1.46/1.82 clause( 219, [ =( divide( divide( X, divide( identity, Y ) ), Y ), zero ) ]
% 1.46/1.82 )
% 1.46/1.82 .
% 1.46/1.82 clause( 247, [ =( divide( divide( Z, divide( X, divide( identity, Y ) ) ),
% 1.46/1.82 Y ), divide( Z, Y ) ) ] )
% 1.46/1.82 .
% 1.46/1.82 clause( 253, [ =( divide( divide( Z, divide( X, Y ) ), X ), divide( Z, X )
% 1.46/1.82 ) ] )
% 1.46/1.82 .
% 1.46/1.82 clause( 329, [ =( divide( divide( X, Y ), divide( X, divide( Y, Z ) ) ),
% 1.46/1.82 zero ) ] )
% 1.46/1.82 .
% 1.46/1.82 clause( 551, [ =( divide( divide( divide( X, Y ), Z ), divide( divide( X, Z
% 1.46/1.82 ), Y ) ), zero ) ] )
% 1.46/1.82 .
% 1.46/1.82 clause( 626, [ =( divide( divide( X, Z ), Y ), divide( divide( X, Y ), Z )
% 1.46/1.82 ) ] )
% 1.46/1.82 .
% 1.46/1.82 clause( 665, [] )
% 1.46/1.82 .
% 1.46/1.82
% 1.46/1.82
% 1.46/1.82 % SZS output end Refutation
% 1.46/1.82 found a proof!
% 1.46/1.82
% 1.46/1.82 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.46/1.82
% 1.46/1.82 initialclauses(
% 1.46/1.82 [ clause( 667, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 1.46/1.82 , clause( 668, [ =( divide( divide( divide( X, Y ), divide( Z, Y ) ),
% 1.46/1.82 divide( divide( X, Z ), Y ) ), zero ) ] )
% 1.46/1.82 , clause( 669, [ =( divide( zero, X ), zero ) ] )
% 1.46/1.82 , clause( 670, [ ~( =( divide( X, Y ), zero ) ), ~( =( divide( Y, X ), zero
% 1.46/1.82 ) ), =( X, Y ) ] )
% 1.46/1.82 , clause( 671, [ =( divide( X, identity ), zero ) ] )
% 1.46/1.82 , clause( 672, [ ~( =( divide( X, Y ), zero ) ), ~( =( divide( Y, Z ), zero
% 1.46/1.82 ) ), =( divide( X, Z ), zero ) ] )
% 1.46/1.82 , clause( 673, [ ~( =( divide( divide( X, Y ), Z ), zero ) ), =( divide(
% 1.46/1.82 divide( X, Z ), Y ), zero ) ] )
% 1.46/1.82 , clause( 674, [ ~( =( divide( X, Y ), zero ) ), =( divide( divide( X, Z )
% 1.46/1.82 , divide( Y, Z ) ), zero ) ] )
% 1.46/1.82 , clause( 675, [ ~( =( divide( identity, a ), divide( divide( identity, a )
% 1.46/1.82 , divide( identity, divide( identity, a ) ) ) ) ) ] )
% 1.46/1.82 ] ).
% 1.46/1.82
% 1.46/1.82
% 1.46/1.82
% 1.46/1.82 subsumption(
% 1.46/1.82 clause( 0, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 1.46/1.82 , clause( 667, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 1.46/1.82 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.46/1.82 )] ) ).
% 1.46/1.82
% 1.46/1.82
% 1.46/1.82 subsumption(
% 1.46/1.82 clause( 1, [ =( divide( divide( divide( X, Y ), divide( Z, Y ) ), divide(
% 1.46/1.82 divide( X, Z ), Y ) ), zero ) ] )
% 1.46/1.82 , clause( 668, [ =( divide( divide( divide( X, Y ), divide( Z, Y ) ),
% 1.46/1.82 divide( divide( X, Z ), Y ) ), zero ) ] )
% 1.46/1.82 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.46/1.82 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.46/1.82
% 1.46/1.82
% 1.46/1.82 subsumption(
% 1.46/1.82 clause( 2, [ =( divide( zero, X ), zero ) ] )
% 1.46/1.82 , clause( 669, [ =( divide( zero, X ), zero ) ] )
% 1.46/1.82 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.46/1.82
% 1.46/1.82
% 1.46/1.82 subsumption(
% 1.46/1.82 clause( 3, [ ~( =( divide( X, Y ), zero ) ), ~( =( divide( Y, X ), zero ) )
% 1.46/1.82 , =( X, Y ) ] )
% 1.46/1.82 , clause( 670, [ ~( =( divide( X, Y ), zero ) ), ~( =( divide( Y, X ), zero
% 1.46/1.82 ) ), =( X, Y ) ] )
% 1.46/1.82 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.46/1.82 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.46/1.82
% 1.46/1.82
% 1.46/1.82 subsumption(
% 1.46/1.82 clause( 4, [ =( divide( X, identity ), zero ) ] )
% 1.46/1.82 , clause( 671, [ =( divide( X, identity ), zero ) ] )
% 1.46/1.82 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.46/1.82
% 1.46/1.82
% 1.46/1.82 subsumption(
% 1.46/1.82 clause( 5, [ ~( =( divide( X, Y ), zero ) ), ~( =( divide( Y, Z ), zero ) )
% 1.46/1.82 , =( divide( X, Z ), zero ) ] )
% 1.46/1.82 , clause( 672, [ ~( =( divide( X, Y ), zero ) ), ~( =( divide( Y, Z ), zero
% 1.46/1.82 ) ), =( divide( X, Z ), zero ) ] )
% 1.46/1.82 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.46/1.82 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.46/1.82
% 1.46/1.82
% 1.46/1.82 subsumption(
% 1.46/1.82 clause( 6, [ ~( =( divide( divide( X, Y ), Z ), zero ) ), =( divide( divide(
% 1.46/1.82 X, Z ), Y ), zero ) ] )
% 1.46/1.82 , clause( 673, [ ~( =( divide( divide( X, Y ), Z ), zero ) ), =( divide(
% 1.46/1.82 divide( X, Z ), Y ), zero ) ] )
% 1.46/1.82 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.46/1.82 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.46/1.82
% 1.46/1.82
% 1.46/1.82 subsumption(
% 1.46/1.82 clause( 7, [ ~( =( divide( X, Y ), zero ) ), =( divide( divide( X, Z ),
% 1.46/1.82 divide( Y, Z ) ), zero ) ] )
% 1.46/1.82 , clause( 674, [ ~( =( divide( X, Y ), zero ) ), =( divide( divide( X, Z )
% 1.46/1.82 , divide( Y, Z ) ), zero ) ] )
% 1.46/1.82 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.46/1.82 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.46/1.82
% 1.46/1.82
% 1.46/1.82 eqswap(
% 1.46/1.82 clause( 794, [ ~( =( dCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------