TSTP Solution File: SYN066-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN066-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 02:47:20 EDT 2022
% Result : Unsatisfiable 0.69s 1.09s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN066-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n015.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 : Tue Jul 12 00:08:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.69/1.09 *** allocated 10000 integers for termspace/termends
% 0.69/1.09 *** allocated 10000 integers for clauses
% 0.69/1.09 *** allocated 10000 integers for justifications
% 0.69/1.09 Bliksem 1.12
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Automatic Strategy Selection
% 0.69/1.09
% 0.69/1.09 Clauses:
% 0.69/1.09 [
% 0.69/1.09 [ ~( 'big_p'( X, Y ) ), 'big_p'( f( Y, X ), g( Y ) ) ],
% 0.69/1.09 [ 'big_p'( f( X, Y ), X ) ],
% 0.69/1.09 [ ~( 'big_p'( f( X, Y ), g( X ) ) ), 'big_q'( h( X, Y ), g( X ) ) ],
% 0.69/1.09 [ 'big_p'( X, Y ), 'big_q'( i( X, Y ), X ) ],
% 0.69/1.09 [ ~( 'big_q'( X, Y ) ), 'big_r'( Z, Z ) ],
% 0.69/1.09 [ ~( 'big_r'( a, X ) ) ]
% 0.69/1.09 ] .
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 percentage equality = 0.000000, percentage horn = 0.833333
% 0.69/1.09 This a non-horn, non-equality problem
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Options Used:
% 0.69/1.09
% 0.69/1.09 useres = 1
% 0.69/1.09 useparamod = 0
% 0.69/1.09 useeqrefl = 0
% 0.69/1.09 useeqfact = 0
% 0.69/1.09 usefactor = 1
% 0.69/1.09 usesimpsplitting = 0
% 0.69/1.09 usesimpdemod = 0
% 0.69/1.09 usesimpres = 3
% 0.69/1.09
% 0.69/1.09 resimpinuse = 1000
% 0.69/1.09 resimpclauses = 20000
% 0.69/1.09 substype = standard
% 0.69/1.09 backwardsubs = 1
% 0.69/1.09 selectoldest = 5
% 0.69/1.09
% 0.69/1.09 litorderings [0] = split
% 0.69/1.09 litorderings [1] = liftord
% 0.69/1.09
% 0.69/1.09 termordering = none
% 0.69/1.09
% 0.69/1.09 litapriori = 1
% 0.69/1.09 termapriori = 0
% 0.69/1.09 litaposteriori = 0
% 0.69/1.09 termaposteriori = 0
% 0.69/1.09 demodaposteriori = 0
% 0.69/1.09 ordereqreflfact = 0
% 0.69/1.09
% 0.69/1.09 litselect = none
% 0.69/1.09
% 0.69/1.09 maxweight = 15
% 0.69/1.09 maxdepth = 30000
% 0.69/1.09 maxlength = 115
% 0.69/1.09 maxnrvars = 195
% 0.69/1.09 excuselevel = 1
% 0.69/1.09 increasemaxweight = 1
% 0.69/1.09
% 0.69/1.09 maxselected = 10000000
% 0.69/1.09 maxnrclauses = 10000000
% 0.69/1.09
% 0.69/1.09 showgenerated = 0
% 0.69/1.09 showkept = 0
% 0.69/1.09 showselected = 0
% 0.69/1.09 showdeleted = 0
% 0.69/1.09 showresimp = 1
% 0.69/1.09 showstatus = 2000
% 0.69/1.09
% 0.69/1.09 prologoutput = 1
% 0.69/1.09 nrgoals = 5000000
% 0.69/1.09 totalproof = 1
% 0.69/1.09
% 0.69/1.09 Symbols occurring in the translation:
% 0.69/1.09
% 0.69/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.09 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 0.69/1.09 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.69/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.09 'big_p' [41, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.69/1.09 f [42, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.69/1.09 g [43, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.69/1.09 h [44, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.69/1.09 'big_q' [45, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.69/1.09 i [46, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.69/1.09 'big_r' [48, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.69/1.09 a [49, 0] (w:1, o:12, a:1, s:1, b:0).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Starting Search:
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Bliksems!, er is een bewijs:
% 0.69/1.09 % SZS status Unsatisfiable
% 0.69/1.09 % SZS output start Refutation
% 0.69/1.09
% 0.69/1.09 clause( 2, [ ~( 'big_p'( f( X, Y ), g( X ) ) ), 'big_q'( h( X, Y ), g( X )
% 0.69/1.09 ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 3, [ 'big_p'( X, Y ), 'big_q'( i( X, Y ), X ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 4, [ ~( 'big_q'( X, Y ) ), 'big_r'( Z, Z ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 5, [ ~( 'big_r'( a, X ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 6, [ ~( 'big_q'( X, Y ) ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 7, [ 'big_p'( X, Y ) ] )
% 0.69/1.09 .
% 0.69/1.09 clause( 8, [] )
% 0.69/1.09 .
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 % SZS output end Refutation
% 0.69/1.09 found a proof!
% 0.69/1.09
% 0.69/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.09
% 0.69/1.09 initialclauses(
% 0.69/1.09 [ clause( 10, [ ~( 'big_p'( X, Y ) ), 'big_p'( f( Y, X ), g( Y ) ) ] )
% 0.69/1.09 , clause( 11, [ 'big_p'( f( X, Y ), X ) ] )
% 0.69/1.09 , clause( 12, [ ~( 'big_p'( f( X, Y ), g( X ) ) ), 'big_q'( h( X, Y ), g( X
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , clause( 13, [ 'big_p'( X, Y ), 'big_q'( i( X, Y ), X ) ] )
% 0.69/1.09 , clause( 14, [ ~( 'big_q'( X, Y ) ), 'big_r'( Z, Z ) ] )
% 0.69/1.09 , clause( 15, [ ~( 'big_r'( a, X ) ) ] )
% 0.69/1.09 ] ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 2, [ ~( 'big_p'( f( X, Y ), g( X ) ) ), 'big_q'( h( X, Y ), g( X )
% 0.69/1.09 ) ] )
% 0.69/1.09 , clause( 12, [ ~( 'big_p'( f( X, Y ), g( X ) ) ), 'big_q'( h( X, Y ), g( X
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 ), ==>( 1, 1 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 3, [ 'big_p'( X, Y ), 'big_q'( i( X, Y ), X ) ] )
% 0.69/1.09 , clause( 13, [ 'big_p'( X, Y ), 'big_q'( i( X, Y ), X ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 ), ==>( 1, 1 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 4, [ ~( 'big_q'( X, Y ) ), 'big_r'( Z, Z ) ] )
% 0.69/1.09 , clause( 14, [ ~( 'big_q'( X, Y ) ), 'big_r'( Z, Z ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.69/1.09 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 5, [ ~( 'big_r'( a, X ) ) ] )
% 0.69/1.09 , clause( 15, [ ~( 'big_r'( a, X ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 16, [ ~( 'big_q'( X, Y ) ) ] )
% 0.69/1.09 , clause( 5, [ ~( 'big_r'( a, X ) ) ] )
% 0.69/1.09 , 0, clause( 4, [ ~( 'big_q'( X, Y ) ), 'big_r'( Z, Z ) ] )
% 0.69/1.09 , 1, substitution( 0, [ :=( X, a )] ), substitution( 1, [ :=( X, X ), :=( Y
% 0.69/1.09 , Y ), :=( Z, a )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 6, [ ~( 'big_q'( X, Y ) ) ] )
% 0.69/1.09 , clause( 16, [ ~( 'big_q'( X, Y ) ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 17, [ 'big_p'( X, Y ) ] )
% 0.69/1.09 , clause( 6, [ ~( 'big_q'( X, Y ) ) ] )
% 0.69/1.09 , 0, clause( 3, [ 'big_p'( X, Y ), 'big_q'( i( X, Y ), X ) ] )
% 0.69/1.09 , 1, substitution( 0, [ :=( X, i( X, Y ) ), :=( Y, X )] ), substitution( 1
% 0.69/1.09 , [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 7, [ 'big_p'( X, Y ) ] )
% 0.69/1.09 , clause( 17, [ 'big_p'( X, Y ) ] )
% 0.69/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09 )] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 18, [ 'big_q'( h( X, Y ), g( X ) ) ] )
% 0.69/1.09 , clause( 2, [ ~( 'big_p'( f( X, Y ), g( X ) ) ), 'big_q'( h( X, Y ), g( X
% 0.69/1.09 ) ) ] )
% 0.69/1.09 , 0, clause( 7, [ 'big_p'( X, Y ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.69/1.09 , f( X, Y ) ), :=( Y, g( X ) )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 resolution(
% 0.69/1.09 clause( 19, [] )
% 0.69/1.09 , clause( 6, [ ~( 'big_q'( X, Y ) ) ] )
% 0.69/1.09 , 0, clause( 18, [ 'big_q'( h( X, Y ), g( X ) ) ] )
% 0.69/1.09 , 0, substitution( 0, [ :=( X, h( X, Y ) ), :=( Y, g( X ) )] ),
% 0.69/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 subsumption(
% 0.69/1.09 clause( 8, [] )
% 0.69/1.09 , clause( 19, [] )
% 0.69/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 end.
% 0.69/1.09
% 0.69/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.09
% 0.69/1.09 Memory use:
% 0.69/1.09
% 0.69/1.09 space for terms: 193
% 0.69/1.09 space for clauses: 574
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 clauses generated: 9
% 0.69/1.09 clauses kept: 9
% 0.69/1.09 clauses selected: 5
% 0.69/1.09 clauses deleted: 3
% 0.69/1.09 clauses inuse deleted: 0
% 0.69/1.09
% 0.69/1.09 subsentry: 1
% 0.69/1.09 literals s-matched: 1
% 0.69/1.09 literals matched: 1
% 0.69/1.09 full subsumption: 0
% 0.69/1.09
% 0.69/1.09 checksum: -1804641
% 0.69/1.09
% 0.69/1.09
% 0.69/1.09 Bliksem ended
%------------------------------------------------------------------------------