TSTP Solution File: SYO611-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYO611-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.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 14:28:52 EDT 2022
% Result : Unsatisfiable 0.66s 1.06s
% Output : Refutation 0.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO611-1 : TPTP v8.1.0. Released v7.1.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n003.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 : Sat Jul 9 06:25:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.66/1.06 *** allocated 10000 integers for termspace/termends
% 0.66/1.06 *** allocated 10000 integers for clauses
% 0.66/1.06 *** allocated 10000 integers for justifications
% 0.66/1.06 Bliksem 1.12
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 Automatic Strategy Selection
% 0.66/1.06
% 0.66/1.06 Clauses:
% 0.66/1.06 [
% 0.66/1.06 [ le( X, X ) ],
% 0.66/1.06 [ ~( le( max( X, Y ), Z ) ), le( X, Z ) ],
% 0.66/1.06 [ ~( le( max( X, Y ), Z ) ), le( Y, Z ) ],
% 0.66/1.06 [ eq( f( X ), a0 ) ],
% 0.66/1.06 [ ~( eq( f( X ), a0 ) ), ~( eq( f( Y ), a0 ) ), ~( le( s( X ), Y ) ) ]
% 0.66/1.06 ] .
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 percentage equality = 0.000000, percentage horn = 1.000000
% 0.66/1.06 This is a near-Horn, non-equality problem
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 Options Used:
% 0.66/1.06
% 0.66/1.06 useres = 1
% 0.66/1.06 useparamod = 0
% 0.66/1.06 useeqrefl = 0
% 0.66/1.06 useeqfact = 0
% 0.66/1.06 usefactor = 1
% 0.66/1.06 usesimpsplitting = 0
% 0.66/1.06 usesimpdemod = 0
% 0.66/1.06 usesimpres = 4
% 0.66/1.06
% 0.66/1.06 resimpinuse = 1000
% 0.66/1.06 resimpclauses = 20000
% 0.66/1.06 substype = standard
% 0.66/1.06 backwardsubs = 1
% 0.66/1.06 selectoldest = 5
% 0.66/1.06
% 0.66/1.06 litorderings [0] = split
% 0.66/1.06 litorderings [1] = liftord
% 0.66/1.06
% 0.66/1.06 termordering = none
% 0.66/1.06
% 0.66/1.06 litapriori = 1
% 0.66/1.06 termapriori = 0
% 0.66/1.06 litaposteriori = 0
% 0.66/1.06 termaposteriori = 0
% 0.66/1.06 demodaposteriori = 0
% 0.66/1.06 ordereqreflfact = 0
% 0.66/1.06
% 0.66/1.06 litselect = negative
% 0.66/1.06
% 0.66/1.06 maxweight = 30000
% 0.66/1.06 maxdepth = 30000
% 0.66/1.06 maxlength = 115
% 0.66/1.06 maxnrvars = 195
% 0.66/1.06 excuselevel = 0
% 0.66/1.06 increasemaxweight = 0
% 0.66/1.06
% 0.66/1.06 maxselected = 10000000
% 0.66/1.06 maxnrclauses = 10000000
% 0.66/1.06
% 0.66/1.06 showgenerated = 0
% 0.66/1.06 showkept = 0
% 0.66/1.06 showselected = 0
% 0.66/1.06 showdeleted = 0
% 0.66/1.06 showresimp = 1
% 0.66/1.06 showstatus = 2000
% 0.66/1.06
% 0.66/1.06 prologoutput = 1
% 0.66/1.06 nrgoals = 5000000
% 0.66/1.06 totalproof = 1
% 0.66/1.06
% 0.66/1.06 Symbols occurring in the translation:
% 0.66/1.06
% 0.66/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.66/1.06 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.66/1.06 ! [4, 1] (w:1, o:15, a:1, s:1, b:0),
% 0.66/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.66/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.66/1.06 le [40, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.66/1.06 max [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.66/1.06 f [44, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.66/1.06 a0 [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.66/1.06 eq [46, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.66/1.06 s [49, 1] (w:1, o:21, a:1, s:1, b:0).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 Starting Search:
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 Bliksems!, er is een bewijs:
% 0.66/1.06 % SZS status Unsatisfiable
% 0.66/1.06 % SZS output start Refutation
% 0.66/1.06
% 0.66/1.06 clause( 0, [ le( X, X ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 1, [ le( X, Z ), ~( le( max( X, Y ), Z ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 2, [ le( Y, Z ), ~( le( max( X, Y ), Z ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 3, [ eq( f( X ), a0 ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 4, [ ~( eq( f( Y ), a0 ) ), ~( le( s( X ), Y ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 5, [ le( X, max( Y, X ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 9, [ le( X, max( Y, max( X, Z ) ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 19, [ ~( le( s( X ), Y ) ) ] )
% 0.66/1.06 .
% 0.66/1.06 clause( 20, [] )
% 0.66/1.06 .
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 % SZS output end Refutation
% 0.66/1.06 found a proof!
% 0.66/1.06
% 0.66/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.66/1.06
% 0.66/1.06 initialclauses(
% 0.66/1.06 [ clause( 22, [ le( X, X ) ] )
% 0.66/1.06 , clause( 23, [ ~( le( max( X, Y ), Z ) ), le( X, Z ) ] )
% 0.66/1.06 , clause( 24, [ ~( le( max( X, Y ), Z ) ), le( Y, Z ) ] )
% 0.66/1.06 , clause( 25, [ eq( f( X ), a0 ) ] )
% 0.66/1.06 , clause( 26, [ ~( eq( f( X ), a0 ) ), ~( eq( f( Y ), a0 ) ), ~( le( s( X )
% 0.66/1.06 , Y ) ) ] )
% 0.66/1.06 ] ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 0, [ le( X, X ) ] )
% 0.66/1.06 , clause( 22, [ le( X, X ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 1, [ le( X, Z ), ~( le( max( X, Y ), Z ) ) ] )
% 0.66/1.06 , clause( 23, [ ~( le( max( X, Y ), Z ) ), le( X, Z ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.66/1.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 2, [ le( Y, Z ), ~( le( max( X, Y ), Z ) ) ] )
% 0.66/1.06 , clause( 24, [ ~( le( max( X, Y ), Z ) ), le( Y, Z ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.66/1.06 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 3, [ eq( f( X ), a0 ) ] )
% 0.66/1.06 , clause( 25, [ eq( f( X ), a0 ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 29, [ ~( eq( f( Y ), a0 ) ), ~( le( s( X ), Y ) ) ] )
% 0.66/1.06 , clause( 26, [ ~( eq( f( X ), a0 ) ), ~( eq( f( Y ), a0 ) ), ~( le( s( X )
% 0.66/1.06 , Y ) ) ] )
% 0.66/1.06 , 0, clause( 3, [ eq( f( X ), a0 ) ] )
% 0.66/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 0.66/1.06 , X )] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 4, [ ~( eq( f( Y ), a0 ) ), ~( le( s( X ), Y ) ) ] )
% 0.66/1.06 , clause( 29, [ ~( eq( f( Y ), a0 ) ), ~( le( s( X ), Y ) ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.66/1.06 ), ==>( 1, 1 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 31, [ le( X, max( Y, X ) ) ] )
% 0.66/1.06 , clause( 2, [ le( Y, Z ), ~( le( max( X, Y ), Z ) ) ] )
% 0.66/1.06 , 1, clause( 0, [ le( X, X ) ] )
% 0.66/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, max( Y, X ) )] ),
% 0.66/1.06 substitution( 1, [ :=( X, max( Y, X ) )] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 5, [ le( X, max( Y, X ) ) ] )
% 0.66/1.06 , clause( 31, [ le( X, max( Y, X ) ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.66/1.06 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 32, [ le( X, max( Y, max( X, Z ) ) ) ] )
% 0.66/1.06 , clause( 1, [ le( X, Z ), ~( le( max( X, Y ), Z ) ) ] )
% 0.66/1.06 , 1, clause( 5, [ le( X, max( Y, X ) ) ] )
% 0.66/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, max( Y, max( X, Z )
% 0.66/1.06 ) )] ), substitution( 1, [ :=( X, max( X, Z ) ), :=( Y, Y )] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 9, [ le( X, max( Y, max( X, Z ) ) ) ] )
% 0.66/1.06 , clause( 32, [ le( X, max( Y, max( X, Z ) ) ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.66/1.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 33, [ ~( le( s( Y ), X ) ) ] )
% 0.66/1.06 , clause( 4, [ ~( eq( f( Y ), a0 ) ), ~( le( s( X ), Y ) ) ] )
% 0.66/1.06 , 0, clause( 3, [ eq( f( X ), a0 ) ] )
% 0.66/1.06 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.66/1.06 , X )] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 19, [ ~( le( s( X ), Y ) ) ] )
% 0.66/1.06 , clause( 33, [ ~( le( s( Y ), X ) ) ] )
% 0.66/1.06 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.66/1.06 )] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 resolution(
% 0.66/1.06 clause( 34, [] )
% 0.66/1.06 , clause( 19, [ ~( le( s( X ), Y ) ) ] )
% 0.66/1.06 , 0, clause( 9, [ le( X, max( Y, max( X, Z ) ) ) ] )
% 0.66/1.06 , 0, substitution( 0, [ :=( X, X ), :=( Y, max( Y, max( s( X ), Z ) ) )] )
% 0.66/1.06 , substitution( 1, [ :=( X, s( X ) ), :=( Y, Y ), :=( Z, Z )] )).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 subsumption(
% 0.66/1.06 clause( 20, [] )
% 0.66/1.06 , clause( 34, [] )
% 0.66/1.06 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 end.
% 0.66/1.06
% 0.66/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.66/1.06
% 0.66/1.06 Memory use:
% 0.66/1.06
% 0.66/1.06 space for terms: 265
% 0.66/1.06 space for clauses: 1309
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 clauses generated: 21
% 0.66/1.06 clauses kept: 21
% 0.66/1.06 clauses selected: 11
% 0.66/1.06 clauses deleted: 1
% 0.66/1.06 clauses inuse deleted: 0
% 0.66/1.06
% 0.66/1.06 subsentry: 4
% 0.66/1.06 literals s-matched: 4
% 0.66/1.06 literals matched: 4
% 0.66/1.06 full subsumption: 0
% 0.66/1.06
% 0.66/1.06 checksum: 279480
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 Bliksem ended
%------------------------------------------------------------------------------