TSTP Solution File: SYN331-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN331-1 : TPTP v8.1.0. Released v1.2.0.
% 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 : Thu Jul 21 02:49:41 EDT 2022
% Result : Unsatisfiable 0.45s 1.09s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN331-1 : TPTP v8.1.0. Released v1.2.0.
% 0.08/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Mon Jul 11 22:47:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.45/1.09 *** allocated 10000 integers for termspace/termends
% 0.45/1.09 *** allocated 10000 integers for clauses
% 0.45/1.09 *** allocated 10000 integers for justifications
% 0.45/1.09 Bliksem 1.12
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 Automatic Strategy Selection
% 0.45/1.09
% 0.45/1.09 Clauses:
% 0.45/1.09 [
% 0.45/1.09 [ f( X, z( X, Y ) ) ],
% 0.45/1.09 [ f( X, z( Y, X ) ) ],
% 0.45/1.09 [ f( X, Y ), ~( f( z( X, Y ), z( X, Y ) ) ) ],
% 0.45/1.09 [ ~( f( X, Y ) ), f( z( X, Y ), z( X, Y ) ) ],
% 0.45/1.09 [ f( X, Y ), f( z( Y, X ), z( Y, X ) ) ],
% 0.45/1.09 [ ~( f( z( X, Y ), X ) ) ],
% 0.45/1.09 [ ~( f( z( X, Y ), Y ) ) ]
% 0.45/1.09 ] .
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 percentage equality = 0.000000, percentage horn = 0.857143
% 0.45/1.09 This a non-horn, non-equality problem
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 Options Used:
% 0.45/1.09
% 0.45/1.09 useres = 1
% 0.45/1.09 useparamod = 0
% 0.45/1.09 useeqrefl = 0
% 0.45/1.09 useeqfact = 0
% 0.45/1.09 usefactor = 1
% 0.45/1.09 usesimpsplitting = 0
% 0.45/1.09 usesimpdemod = 0
% 0.45/1.09 usesimpres = 3
% 0.45/1.09
% 0.45/1.09 resimpinuse = 1000
% 0.45/1.09 resimpclauses = 20000
% 0.45/1.09 substype = standard
% 0.45/1.09 backwardsubs = 1
% 0.45/1.09 selectoldest = 5
% 0.45/1.09
% 0.45/1.09 litorderings [0] = split
% 0.45/1.09 litorderings [1] = liftord
% 0.45/1.09
% 0.45/1.09 termordering = none
% 0.45/1.09
% 0.45/1.09 litapriori = 1
% 0.45/1.09 termapriori = 0
% 0.45/1.09 litaposteriori = 0
% 0.45/1.09 termaposteriori = 0
% 0.45/1.09 demodaposteriori = 0
% 0.45/1.09 ordereqreflfact = 0
% 0.45/1.09
% 0.45/1.09 litselect = none
% 0.45/1.09
% 0.45/1.09 maxweight = 15
% 0.45/1.09 maxdepth = 30000
% 0.45/1.09 maxlength = 115
% 0.45/1.09 maxnrvars = 195
% 0.45/1.09 excuselevel = 1
% 0.45/1.09 increasemaxweight = 1
% 0.45/1.09
% 0.45/1.09 maxselected = 10000000
% 0.45/1.09 maxnrclauses = 10000000
% 0.45/1.09
% 0.45/1.09 showgenerated = 0
% 0.45/1.09 showkept = 0
% 0.45/1.09 showselected = 0
% 0.45/1.09 showdeleted = 0
% 0.45/1.09 showresimp = 1
% 0.45/1.09 showstatus = 2000
% 0.45/1.09
% 0.45/1.09 prologoutput = 1
% 0.45/1.09 nrgoals = 5000000
% 0.45/1.09 totalproof = 1
% 0.45/1.09
% 0.45/1.09 Symbols occurring in the translation:
% 0.45/1.09
% 0.45/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.45/1.09 . [1, 2] (w:1, o:16, a:1, s:1, b:0),
% 0.45/1.09 ! [4, 1] (w:0, o:11, a:1, s:1, b:0),
% 0.45/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.09 z [41, 2] (w:1, o:41, a:1, s:1, b:0),
% 0.45/1.09 f [42, 2] (w:1, o:42, a:1, s:1, b:0).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 Starting Search:
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 Bliksems!, er is een bewijs:
% 0.45/1.09 % SZS status Unsatisfiable
% 0.45/1.09 % SZS output start Refutation
% 0.45/1.09
% 0.45/1.09 clause( 2, [ ~( f( z( X, Y ), z( X, Y ) ) ), f( X, Y ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 4, [ f( z( Y, X ), z( Y, X ) ), f( X, Y ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 5, [ ~( f( z( X, Y ), X ) ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 9, [ ~( f( z( z( X, Y ), z( X, Y ) ), z( z( X, Y ), z( X, Y ) ) ) )
% 0.45/1.09 , f( X, Y ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 11, [ f( X, Y ) ] )
% 0.45/1.09 .
% 0.45/1.09 clause( 12, [] )
% 0.45/1.09 .
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 % SZS output end Refutation
% 0.45/1.09 found a proof!
% 0.45/1.09
% 0.45/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.09
% 0.45/1.09 initialclauses(
% 0.45/1.09 [ clause( 14, [ f( X, z( X, Y ) ) ] )
% 0.45/1.09 , clause( 15, [ f( X, z( Y, X ) ) ] )
% 0.45/1.09 , clause( 16, [ f( X, Y ), ~( f( z( X, Y ), z( X, Y ) ) ) ] )
% 0.45/1.09 , clause( 17, [ ~( f( X, Y ) ), f( z( X, Y ), z( X, Y ) ) ] )
% 0.45/1.09 , clause( 18, [ f( X, Y ), f( z( Y, X ), z( Y, X ) ) ] )
% 0.45/1.09 , clause( 19, [ ~( f( z( X, Y ), X ) ) ] )
% 0.45/1.09 , clause( 20, [ ~( f( z( X, Y ), Y ) ) ] )
% 0.45/1.09 ] ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 2, [ ~( f( z( X, Y ), z( X, Y ) ) ), f( X, Y ) ] )
% 0.45/1.09 , clause( 16, [ f( X, Y ), ~( f( z( X, Y ), z( X, Y ) ) ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.45/1.09 ), ==>( 1, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 4, [ f( z( Y, X ), z( Y, X ) ), f( X, Y ) ] )
% 0.45/1.09 , clause( 18, [ f( X, Y ), f( z( Y, X ), z( Y, X ) ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.45/1.09 ), ==>( 1, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 5, [ ~( f( z( X, Y ), X ) ) ] )
% 0.45/1.09 , clause( 19, [ ~( f( z( X, Y ), X ) ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.09 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 resolution(
% 0.45/1.09 clause( 21, [ f( X, Y ), ~( f( z( z( X, Y ), z( X, Y ) ), z( z( X, Y ), z(
% 0.45/1.09 X, Y ) ) ) ) ] )
% 0.45/1.09 , clause( 2, [ ~( f( z( X, Y ), z( X, Y ) ) ), f( X, Y ) ] )
% 0.45/1.09 , 0, clause( 2, [ ~( f( z( X, Y ), z( X, Y ) ) ), f( X, Y ) ] )
% 0.45/1.09 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.45/1.09 , z( X, Y ) ), :=( Y, z( X, Y ) )] )).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 subsumption(
% 0.45/1.09 clause( 9, [ ~( f( z( z( X, Y ), z( X, Y ) ), z( z( X, Y ), z( X, Y ) ) ) )
% 0.45/1.09 , f( X, Y ) ] )
% 0.45/1.09 , clause( 21, [ f( X, Y ), ~( f( z( z( X, Y ), z( X, Y ) ), z( z( X, Y ), z(
% 0.45/1.09 X, Y ) ) ) ) ] )
% 0.45/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.45/1.09 ), ==>( 1, 0 )] ) ).
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 ==> clause( 11, [ f( X, Y ) ] )
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09
% 0.45/1.09 !!! Internal Problem: OH, OH, COULD NOT DERIVE GOAL !!!
% 0.45/1.09
% 0.45/1.09 Bliksem ended
%------------------------------------------------------------------------------