TSTP Solution File: NUM020-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM020-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 : Mon Jul 18 06:19:19 EDT 2022
% Result : Unsatisfiable 0.44s 1.07s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM020-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.11/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Thu Jul 7 21:38:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.44/1.07 *** allocated 10000 integers for termspace/termends
% 0.44/1.07 *** allocated 10000 integers for clauses
% 0.44/1.07 *** allocated 10000 integers for justifications
% 0.44/1.07 Bliksem 1.12
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Automatic Strategy Selection
% 0.44/1.07
% 0.44/1.07 Clauses:
% 0.44/1.07 [
% 0.44/1.07 [ equalish( add( X, n0 ), X ) ],
% 0.44/1.07 [ equalish( add( X, successor( Y ) ), successor( add( X, Y ) ) ) ],
% 0.44/1.07 [ equalish( multiply( X, n0 ), n0 ) ],
% 0.44/1.07 [ equalish( multiply( X, successor( Y ) ), add( multiply( X, Y ), X ) )
% 0.44/1.07 ],
% 0.44/1.07 [ ~( equalish( successor( X ), successor( Y ) ) ), equalish( X, Y ) ]
% 0.44/1.07 ,
% 0.44/1.07 [ ~( equalish( X, Y ) ), equalish( successor( X ), successor( Y ) ) ]
% 0.44/1.07 ,
% 0.44/1.07 [ equalish( X, X ) ],
% 0.44/1.07 [ ~( equalish( X, Y ) ), equalish( Y, X ) ],
% 0.44/1.07 [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish( X, Z ) ],
% 0.44/1.07 [ equalish( n1, successor( n0 ) ) ],
% 0.44/1.07 [ ~( equalish( add( a, successor( n0 ) ), successor( a ) ) ) ],
% 0.44/1.07 [ ~( equalish( successor( X ), n0 ) ) ]
% 0.44/1.07 ] .
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 percentage equality = 0.000000, percentage horn = 1.000000
% 0.44/1.07 This is a near-Horn, non-equality problem
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Options Used:
% 0.44/1.07
% 0.44/1.07 useres = 1
% 0.44/1.07 useparamod = 0
% 0.44/1.07 useeqrefl = 0
% 0.44/1.07 useeqfact = 0
% 0.44/1.07 usefactor = 1
% 0.44/1.07 usesimpsplitting = 0
% 0.44/1.07 usesimpdemod = 0
% 0.44/1.07 usesimpres = 4
% 0.44/1.07
% 0.44/1.07 resimpinuse = 1000
% 0.44/1.07 resimpclauses = 20000
% 0.44/1.07 substype = standard
% 0.44/1.07 backwardsubs = 1
% 0.44/1.07 selectoldest = 5
% 0.44/1.07
% 0.44/1.07 litorderings [0] = split
% 0.44/1.07 litorderings [1] = liftord
% 0.44/1.07
% 0.44/1.07 termordering = none
% 0.44/1.07
% 0.44/1.07 litapriori = 1
% 0.44/1.07 termapriori = 0
% 0.44/1.07 litaposteriori = 0
% 0.44/1.07 termaposteriori = 0
% 0.44/1.07 demodaposteriori = 0
% 0.44/1.07 ordereqreflfact = 0
% 0.44/1.07
% 0.44/1.07 litselect = negative
% 0.44/1.07
% 0.44/1.07 maxweight = 30000
% 0.44/1.07 maxdepth = 30000
% 0.44/1.07 maxlength = 115
% 0.44/1.07 maxnrvars = 195
% 0.44/1.07 excuselevel = 0
% 0.44/1.07 increasemaxweight = 0
% 0.44/1.07
% 0.44/1.07 maxselected = 10000000
% 0.44/1.07 maxnrclauses = 10000000
% 0.44/1.07
% 0.44/1.07 showgenerated = 0
% 0.44/1.07 showkept = 0
% 0.44/1.07 showselected = 0
% 0.44/1.07 showdeleted = 0
% 0.44/1.07 showresimp = 1
% 0.44/1.07 showstatus = 2000
% 0.44/1.07
% 0.44/1.07 prologoutput = 1
% 0.44/1.07 nrgoals = 5000000
% 0.44/1.07 totalproof = 1
% 0.44/1.07
% 0.44/1.07 Symbols occurring in the translation:
% 0.44/1.07
% 0.44/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.07 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.44/1.07 ! [4, 1] (w:1, o:17, a:1, s:1, b:0),
% 0.44/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.07 n0 [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.44/1.07 add [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.44/1.07 equalish [42, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.44/1.07 successor [44, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.44/1.07 multiply [45, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.44/1.07 n1 [49, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.44/1.07 a [50, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Starting Search:
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Bliksems!, er is een bewijs:
% 0.44/1.07 % SZS status Unsatisfiable
% 0.44/1.07 % SZS output start Refutation
% 0.44/1.07
% 0.44/1.07 clause( 0, [ equalish( add( X, n0 ), X ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 1, [ equalish( add( X, successor( Y ) ), successor( add( X, Y ) ) )
% 0.44/1.07 ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 5, [ equalish( successor( X ), successor( Y ) ), ~( equalish( X, Y
% 0.44/1.07 ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 8, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z ) )
% 0.44/1.07 ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 10, [ ~( equalish( add( a, successor( n0 ) ), successor( a ) ) ) ]
% 0.44/1.07 )
% 0.44/1.07 .
% 0.44/1.07 clause( 22, [ equalish( successor( add( X, n0 ) ), successor( X ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 32, [ equalish( X, successor( Y ) ), ~( equalish( X, successor( add(
% 0.44/1.07 Y, n0 ) ) ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 211, [ equalish( add( X, successor( n0 ) ), successor( X ) ) ] )
% 0.44/1.07 .
% 0.44/1.07 clause( 219, [] )
% 0.44/1.07 .
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 % SZS output end Refutation
% 0.44/1.07 found a proof!
% 0.44/1.07
% 0.44/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.07
% 0.44/1.07 initialclauses(
% 0.44/1.07 [ clause( 221, [ equalish( add( X, n0 ), X ) ] )
% 0.44/1.07 , clause( 222, [ equalish( add( X, successor( Y ) ), successor( add( X, Y )
% 0.44/1.07 ) ) ] )
% 0.44/1.07 , clause( 223, [ equalish( multiply( X, n0 ), n0 ) ] )
% 0.44/1.07 , clause( 224, [ equalish( multiply( X, successor( Y ) ), add( multiply( X
% 0.44/1.07 , Y ), X ) ) ] )
% 0.44/1.07 , clause( 225, [ ~( equalish( successor( X ), successor( Y ) ) ), equalish(
% 0.44/1.07 X, Y ) ] )
% 0.44/1.07 , clause( 226, [ ~( equalish( X, Y ) ), equalish( successor( X ), successor(
% 0.44/1.07 Y ) ) ] )
% 0.44/1.07 , clause( 227, [ equalish( X, X ) ] )
% 0.44/1.07 , clause( 228, [ ~( equalish( X, Y ) ), equalish( Y, X ) ] )
% 0.44/1.07 , clause( 229, [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish( X
% 0.44/1.07 , Z ) ] )
% 0.44/1.07 , clause( 230, [ equalish( n1, successor( n0 ) ) ] )
% 0.44/1.07 , clause( 231, [ ~( equalish( add( a, successor( n0 ) ), successor( a ) ) )
% 0.44/1.07 ] )
% 0.44/1.07 , clause( 232, [ ~( equalish( successor( X ), n0 ) ) ] )
% 0.44/1.07 ] ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 0, [ equalish( add( X, n0 ), X ) ] )
% 0.44/1.07 , clause( 221, [ equalish( add( X, n0 ), X ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 1, [ equalish( add( X, successor( Y ) ), successor( add( X, Y ) ) )
% 0.44/1.07 ] )
% 0.44/1.07 , clause( 222, [ equalish( add( X, successor( Y ) ), successor( add( X, Y )
% 0.44/1.07 ) ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.07 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 5, [ equalish( successor( X ), successor( Y ) ), ~( equalish( X, Y
% 0.44/1.07 ) ) ] )
% 0.44/1.07 , clause( 226, [ ~( equalish( X, Y ) ), equalish( successor( X ), successor(
% 0.44/1.07 Y ) ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.44/1.07 ), ==>( 1, 0 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 8, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z ) )
% 0.44/1.07 ] )
% 0.44/1.07 , clause( 229, [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish( X
% 0.44/1.07 , Z ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.44/1.07 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 10, [ ~( equalish( add( a, successor( n0 ) ), successor( a ) ) ) ]
% 0.44/1.07 )
% 0.44/1.07 , clause( 231, [ ~( equalish( add( a, successor( n0 ) ), successor( a ) ) )
% 0.44/1.07 ] )
% 0.44/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 resolution(
% 0.44/1.07 clause( 235, [ equalish( successor( add( X, n0 ) ), successor( X ) ) ] )
% 0.44/1.07 , clause( 5, [ equalish( successor( X ), successor( Y ) ), ~( equalish( X,
% 0.44/1.07 Y ) ) ] )
% 0.44/1.07 , 1, clause( 0, [ equalish( add( X, n0 ), X ) ] )
% 0.44/1.07 , 0, substitution( 0, [ :=( X, add( X, n0 ) ), :=( Y, X )] ),
% 0.44/1.07 substitution( 1, [ :=( X, X )] )).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 22, [ equalish( successor( add( X, n0 ) ), successor( X ) ) ] )
% 0.44/1.07 , clause( 235, [ equalish( successor( add( X, n0 ) ), successor( X ) ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 resolution(
% 0.44/1.07 clause( 237, [ ~( equalish( X, successor( add( Y, n0 ) ) ) ), equalish( X,
% 0.44/1.07 successor( Y ) ) ] )
% 0.44/1.07 , clause( 8, [ ~( equalish( X, Y ) ), equalish( X, Z ), ~( equalish( Y, Z )
% 0.44/1.07 ) ] )
% 0.44/1.07 , 2, clause( 22, [ equalish( successor( add( X, n0 ) ), successor( X ) ) ]
% 0.44/1.07 )
% 0.44/1.07 , 0, substitution( 0, [ :=( X, X ), :=( Y, successor( add( Y, n0 ) ) ),
% 0.44/1.07 :=( Z, successor( Y ) )] ), substitution( 1, [ :=( X, Y )] )).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 32, [ equalish( X, successor( Y ) ), ~( equalish( X, successor( add(
% 0.44/1.07 Y, n0 ) ) ) ) ] )
% 0.44/1.07 , clause( 237, [ ~( equalish( X, successor( add( Y, n0 ) ) ) ), equalish( X
% 0.44/1.07 , successor( Y ) ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.44/1.07 ), ==>( 1, 0 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 resolution(
% 0.44/1.07 clause( 238, [ equalish( add( X, successor( n0 ) ), successor( X ) ) ] )
% 0.44/1.07 , clause( 32, [ equalish( X, successor( Y ) ), ~( equalish( X, successor(
% 0.44/1.07 add( Y, n0 ) ) ) ) ] )
% 0.44/1.07 , 1, clause( 1, [ equalish( add( X, successor( Y ) ), successor( add( X, Y
% 0.44/1.07 ) ) ) ] )
% 0.44/1.07 , 0, substitution( 0, [ :=( X, add( X, successor( n0 ) ) ), :=( Y, X )] ),
% 0.44/1.07 substitution( 1, [ :=( X, X ), :=( Y, n0 )] )).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 211, [ equalish( add( X, successor( n0 ) ), successor( X ) ) ] )
% 0.44/1.07 , clause( 238, [ equalish( add( X, successor( n0 ) ), successor( X ) ) ] )
% 0.44/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 resolution(
% 0.44/1.07 clause( 239, [] )
% 0.44/1.07 , clause( 10, [ ~( equalish( add( a, successor( n0 ) ), successor( a ) ) )
% 0.44/1.07 ] )
% 0.44/1.07 , 0, clause( 211, [ equalish( add( X, successor( n0 ) ), successor( X ) ) ]
% 0.44/1.07 )
% 0.44/1.07 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a )] )).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 subsumption(
% 0.44/1.07 clause( 219, [] )
% 0.44/1.07 , clause( 239, [] )
% 0.44/1.07 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 end.
% 0.44/1.07
% 0.44/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.07
% 0.44/1.07 Memory use:
% 0.44/1.07
% 0.44/1.07 space for terms: 2331
% 0.44/1.07 space for clauses: 14749
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 clauses generated: 317
% 0.44/1.07 clauses kept: 220
% 0.44/1.07 clauses selected: 72
% 0.44/1.07 clauses deleted: 0
% 0.44/1.07 clauses inuse deleted: 0
% 0.44/1.07
% 0.44/1.07 subsentry: 264
% 0.44/1.07 literals s-matched: 195
% 0.44/1.07 literals matched: 195
% 0.44/1.07 full subsumption: 4
% 0.44/1.07
% 0.44/1.07 checksum: -347769503
% 0.44/1.07
% 0.44/1.07
% 0.44/1.07 Bliksem ended
%------------------------------------------------------------------------------