TSTP Solution File: ROB016-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ROB016-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 20:49:29 EDT 2022
% Result : Unsatisfiable 0.41s 1.04s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ROB016-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.32 % Computer : n029.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Thu Jun 9 15:04:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.41/1.04 *** allocated 10000 integers for termspace/termends
% 0.41/1.04 *** allocated 10000 integers for clauses
% 0.41/1.04 *** allocated 10000 integers for justifications
% 0.41/1.04 Bliksem 1.12
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 Automatic Strategy Selection
% 0.41/1.04
% 0.41/1.04 Clauses:
% 0.41/1.04 [
% 0.41/1.04 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.41/1.04 [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ],
% 0.41/1.04 [ =( negate( add( negate( add( X, Y ) ), negate( add( X, negate( Y ) ) )
% 0.41/1.04 ) ), X ) ],
% 0.41/1.04 [ =( multiply( one, X ), X ) ],
% 0.41/1.04 [ ~( 'positive_integer'( X ) ), =( multiply( successor( Y ), X ), add( X
% 0.41/1.04 , multiply( Y, X ) ) ) ],
% 0.41/1.04 [ 'positive_integer'( one ) ],
% 0.41/1.04 [ ~( 'positive_integer'( X ) ), 'positive_integer'( successor( X ) ) ]
% 0.41/1.04 ,
% 0.41/1.04 [ =( negate( add( d, e ) ), negate( e ) ) ],
% 0.41/1.04 [ 'positive_integer'( k ) ],
% 0.41/1.04 [ ~( =( negate( add( negate( X ), negate( add( Y, negate( X ) ) ) ) ), Y
% 0.41/1.04 ) ), ~( 'positive_integer'( Z ) ), =( negate( add( X, multiply( Z, add(
% 0.41/1.04 Y, negate( add( Y, negate( X ) ) ) ) ) ) ), negate( X ) ) ],
% 0.41/1.04 [ ~( =( negate( add( e, multiply( k, add( d, negate( add( d, negate( e )
% 0.41/1.04 ) ) ) ) ) ), negate( e ) ) ) ]
% 0.41/1.04 ] .
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 percentage equality = 0.600000, percentage horn = 1.000000
% 0.41/1.04 This is a problem with some equality
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 Options Used:
% 0.41/1.04
% 0.41/1.04 useres = 1
% 0.41/1.04 useparamod = 1
% 0.41/1.04 useeqrefl = 1
% 0.41/1.04 useeqfact = 1
% 0.41/1.04 usefactor = 1
% 0.41/1.04 usesimpsplitting = 0
% 0.41/1.04 usesimpdemod = 5
% 0.41/1.04 usesimpres = 3
% 0.41/1.04
% 0.41/1.04 resimpinuse = 1000
% 0.41/1.04 resimpclauses = 20000
% 0.41/1.04 substype = eqrewr
% 0.41/1.04 backwardsubs = 1
% 0.41/1.04 selectoldest = 5
% 0.41/1.04
% 0.41/1.04 litorderings [0] = split
% 0.41/1.04 litorderings [1] = extend the termordering, first sorting on arguments
% 0.41/1.04
% 0.41/1.04 termordering = kbo
% 0.41/1.04
% 0.41/1.04 litapriori = 0
% 0.41/1.04 termapriori = 1
% 0.41/1.04 litaposteriori = 0
% 0.41/1.04 termaposteriori = 0
% 0.41/1.04 demodaposteriori = 0
% 0.41/1.04 ordereqreflfact = 0
% 0.41/1.04
% 0.41/1.04 litselect = negord
% 0.41/1.04
% 0.41/1.04 maxweight = 15
% 0.41/1.04 maxdepth = 30000
% 0.41/1.04 maxlength = 115
% 0.41/1.04 maxnrvars = 195
% 0.41/1.04 excuselevel = 1
% 0.41/1.04 increasemaxweight = 1
% 0.41/1.04
% 0.41/1.04 maxselected = 10000000
% 0.41/1.04 maxnrclauses = 10000000
% 0.41/1.04
% 0.41/1.04 showgenerated = 0
% 0.41/1.04 showkept = 0
% 0.41/1.04 showselected = 0
% 0.41/1.04 showdeleted = 0
% 0.41/1.04 showresimp = 1
% 0.41/1.04 showstatus = 2000
% 0.41/1.04
% 0.41/1.04 prologoutput = 1
% 0.41/1.04 nrgoals = 5000000
% 0.41/1.04 totalproof = 1
% 0.41/1.04
% 0.41/1.04 Symbols occurring in the translation:
% 0.41/1.04
% 0.41/1.04 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.41/1.04 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 0.41/1.04 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.41/1.04 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.41/1.04 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.41/1.04 add [41, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.41/1.04 negate [43, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.41/1.04 one [44, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.41/1.04 multiply [45, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.41/1.04 'positive_integer' [46, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.41/1.04 successor [48, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.41/1.04 d [49, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.41/1.04 e [50, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.41/1.04 k [51, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 Starting Search:
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 Bliksems!, er is een bewijs:
% 0.41/1.04 % SZS status Unsatisfiable
% 0.41/1.04 % SZS output start Refutation
% 0.41/1.04
% 0.41/1.04 clause( 2, [ =( negate( add( negate( add( X, Y ) ), negate( add( X, negate(
% 0.41/1.04 Y ) ) ) ) ), X ) ] )
% 0.41/1.04 .
% 0.41/1.04 clause( 7, [ =( negate( add( d, e ) ), negate( e ) ) ] )
% 0.41/1.04 .
% 0.41/1.04 clause( 8, [ 'positive_integer'( k ) ] )
% 0.41/1.04 .
% 0.41/1.04 clause( 9, [ ~( =( negate( add( negate( X ), negate( add( Y, negate( X ) )
% 0.41/1.04 ) ) ), Y ) ), ~( 'positive_integer'( Z ) ), =( negate( add( X, multiply(
% 0.41/1.04 Z, add( Y, negate( add( Y, negate( X ) ) ) ) ) ) ), negate( X ) ) ] )
% 0.41/1.04 .
% 0.41/1.04 clause( 10, [ ~( =( negate( add( e, multiply( k, add( d, negate( add( d,
% 0.41/1.04 negate( e ) ) ) ) ) ) ), negate( e ) ) ) ] )
% 0.41/1.04 .
% 0.41/1.04 clause( 35, [ =( negate( add( negate( e ), negate( add( d, negate( e ) ) )
% 0.41/1.04 ) ), d ) ] )
% 0.41/1.04 .
% 0.41/1.04 clause( 83, [] )
% 0.41/1.04 .
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 % SZS output end Refutation
% 0.41/1.04 found a proof!
% 0.41/1.04
% 0.41/1.04 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.04
% 0.41/1.04 initialclauses(
% 0.41/1.04 [ clause( 85, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.41/1.04 , clause( 86, [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ] )
% 0.41/1.04 , clause( 87, [ =( negate( add( negate( add( X, Y ) ), negate( add( X,
% 0.41/1.04 negate( Y ) ) ) ) ), X ) ] )
% 0.41/1.04 , clause( 88, [ =( multiply( one, X ), X ) ] )
% 0.41/1.04 , clause( 89, [ ~( 'positive_integer'( X ) ), =( multiply( successor( Y ),
% 0.41/1.04 X ), add( X, multiply( Y, X ) ) ) ] )
% 0.41/1.04 , clause( 90, [ 'positive_integer'( one ) ] )
% 0.41/1.04 , clause( 91, [ ~( 'positive_integer'( X ) ), 'positive_integer'( successor(
% 0.41/1.04 X ) ) ] )
% 0.41/1.04 , clause( 92, [ =( negate( add( d, e ) ), negate( e ) ) ] )
% 0.41/1.04 , clause( 93, [ 'positive_integer'( k ) ] )
% 0.41/1.04 , clause( 94, [ ~( =( negate( add( negate( X ), negate( add( Y, negate( X )
% 0.41/1.04 ) ) ) ), Y ) ), ~( 'positive_integer'( Z ) ), =( negate( add( X,
% 0.41/1.04 multiply( Z, add( Y, negate( add( Y, negate( X ) ) ) ) ) ) ), negate( X )
% 0.41/1.04 ) ] )
% 0.41/1.04 , clause( 95, [ ~( =( negate( add( e, multiply( k, add( d, negate( add( d,
% 0.41/1.04 negate( e ) ) ) ) ) ) ), negate( e ) ) ) ] )
% 0.41/1.04 ] ).
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 subsumption(
% 0.41/1.04 clause( 2, [ =( negate( add( negate( add( X, Y ) ), negate( add( X, negate(
% 0.41/1.04 Y ) ) ) ) ), X ) ] )
% 0.41/1.04 , clause( 87, [ =( negate( add( negate( add( X, Y ) ), negate( add( X,
% 0.41/1.04 negate( Y ) ) ) ) ), X ) ] )
% 0.41/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.04 )] ) ).
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 subsumption(
% 0.41/1.04 clause( 7, [ =( negate( add( d, e ) ), negate( e ) ) ] )
% 0.41/1.04 , clause( 92, [ =( negate( add( d, e ) ), negate( e ) ) ] )
% 0.41/1.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 subsumption(
% 0.41/1.04 clause( 8, [ 'positive_integer'( k ) ] )
% 0.41/1.04 , clause( 93, [ 'positive_integer'( k ) ] )
% 0.41/1.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 subsumption(
% 0.41/1.04 clause( 9, [ ~( =( negate( add( negate( X ), negate( add( Y, negate( X ) )
% 0.41/1.04 ) ) ), Y ) ), ~( 'positive_integer'( Z ) ), =( negate( add( X, multiply(
% 0.41/1.04 Z, add( Y, negate( add( Y, negate( X ) ) ) ) ) ) ), negate( X ) ) ] )
% 0.41/1.04 , clause( 94, [ ~( =( negate( add( negate( X ), negate( add( Y, negate( X )
% 0.41/1.04 ) ) ) ), Y ) ), ~( 'positive_integer'( Z ) ), =( negate( add( X,
% 0.41/1.04 multiply( Z, add( Y, negate( add( Y, negate( X ) ) ) ) ) ) ), negate( X )
% 0.41/1.04 ) ] )
% 0.41/1.04 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.41/1.04 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 subsumption(
% 0.41/1.04 clause( 10, [ ~( =( negate( add( e, multiply( k, add( d, negate( add( d,
% 0.41/1.04 negate( e ) ) ) ) ) ) ), negate( e ) ) ) ] )
% 0.41/1.04 , clause( 95, [ ~( =( negate( add( e, multiply( k, add( d, negate( add( d,
% 0.41/1.04 negate( e ) ) ) ) ) ) ), negate( e ) ) ) ] )
% 0.41/1.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 eqswap(
% 0.41/1.04 clause( 126, [ =( X, negate( add( negate( add( X, Y ) ), negate( add( X,
% 0.41/1.04 negate( Y ) ) ) ) ) ) ] )
% 0.41/1.04 , clause( 2, [ =( negate( add( negate( add( X, Y ) ), negate( add( X,
% 0.41/1.04 negate( Y ) ) ) ) ), X ) ] )
% 0.41/1.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 paramod(
% 0.41/1.04 clause( 127, [ =( d, negate( add( negate( e ), negate( add( d, negate( e )
% 0.41/1.04 ) ) ) ) ) ] )
% 0.41/1.04 , clause( 7, [ =( negate( add( d, e ) ), negate( e ) ) ] )
% 0.41/1.04 , 0, clause( 126, [ =( X, negate( add( negate( add( X, Y ) ), negate( add(
% 0.41/1.04 X, negate( Y ) ) ) ) ) ) ] )
% 0.41/1.04 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, d ), :=( Y, e )] )
% 0.41/1.04 ).
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 eqswap(
% 0.41/1.04 clause( 129, [ =( negate( add( negate( e ), negate( add( d, negate( e ) ) )
% 0.41/1.04 ) ), d ) ] )
% 0.41/1.04 , clause( 127, [ =( d, negate( add( negate( e ), negate( add( d, negate( e
% 0.41/1.04 ) ) ) ) ) ) ] )
% 0.41/1.04 , 0, substitution( 0, [] )).
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 subsumption(
% 0.41/1.04 clause( 35, [ =( negate( add( negate( e ), negate( add( d, negate( e ) ) )
% 0.41/1.04 ) ), d ) ] )
% 0.41/1.04 , clause( 129, [ =( negate( add( negate( e ), negate( add( d, negate( e ) )
% 0.41/1.04 ) ) ), d ) ] )
% 0.41/1.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 eqswap(
% 0.41/1.04 clause( 131, [ ~( =( negate( e ), negate( add( e, multiply( k, add( d,
% 0.41/1.04 negate( add( d, negate( e ) ) ) ) ) ) ) ) ) ] )
% 0.41/1.04 , clause( 10, [ ~( =( negate( add( e, multiply( k, add( d, negate( add( d,
% 0.41/1.04 negate( e ) ) ) ) ) ) ), negate( e ) ) ) ] )
% 0.41/1.04 , 0, substitution( 0, [] )).
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 eqswap(
% 0.41/1.04 clause( 133, [ =( negate( X ), negate( add( X, multiply( Y, add( Z, negate(
% 0.41/1.04 add( Z, negate( X ) ) ) ) ) ) ) ), ~( =( negate( add( negate( X ), negate(
% 0.41/1.04 add( Z, negate( X ) ) ) ) ), Z ) ), ~( 'positive_integer'( Y ) ) ] )
% 0.41/1.04 , clause( 9, [ ~( =( negate( add( negate( X ), negate( add( Y, negate( X )
% 0.41/1.04 ) ) ) ), Y ) ), ~( 'positive_integer'( Z ) ), =( negate( add( X,
% 0.41/1.04 multiply( Z, add( Y, negate( add( Y, negate( X ) ) ) ) ) ) ), negate( X )
% 0.41/1.04 ) ] )
% 0.41/1.04 , 2, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 eqswap(
% 0.41/1.04 clause( 134, [ ~( =( Y, negate( add( negate( X ), negate( add( Y, negate( X
% 0.41/1.04 ) ) ) ) ) ) ), =( negate( X ), negate( add( X, multiply( Z, add( Y,
% 0.41/1.04 negate( add( Y, negate( X ) ) ) ) ) ) ) ), ~( 'positive_integer'( Z ) ) ]
% 0.41/1.04 )
% 0.41/1.04 , clause( 133, [ =( negate( X ), negate( add( X, multiply( Y, add( Z,
% 0.41/1.04 negate( add( Z, negate( X ) ) ) ) ) ) ) ), ~( =( negate( add( negate( X )
% 0.41/1.04 , negate( add( Z, negate( X ) ) ) ) ), Z ) ), ~( 'positive_integer'( Y )
% 0.41/1.04 ) ] )
% 0.41/1.04 , 1, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 resolution(
% 0.41/1.04 clause( 136, [ ~( =( d, negate( add( negate( e ), negate( add( d, negate( e
% 0.41/1.04 ) ) ) ) ) ) ), ~( 'positive_integer'( k ) ) ] )
% 0.41/1.04 , clause( 131, [ ~( =( negate( e ), negate( add( e, multiply( k, add( d,
% 0.41/1.04 negate( add( d, negate( e ) ) ) ) ) ) ) ) ) ] )
% 0.41/1.04 , 0, clause( 134, [ ~( =( Y, negate( add( negate( X ), negate( add( Y,
% 0.41/1.04 negate( X ) ) ) ) ) ) ), =( negate( X ), negate( add( X, multiply( Z, add(
% 0.41/1.04 Y, negate( add( Y, negate( X ) ) ) ) ) ) ) ), ~( 'positive_integer'( Z )
% 0.41/1.04 ) ] )
% 0.41/1.04 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, e ), :=( Y, d ), :=(
% 0.41/1.04 Z, k )] )).
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 paramod(
% 0.41/1.04 clause( 137, [ ~( =( d, d ) ), ~( 'positive_integer'( k ) ) ] )
% 0.41/1.04 , clause( 35, [ =( negate( add( negate( e ), negate( add( d, negate( e ) )
% 0.41/1.04 ) ) ), d ) ] )
% 0.41/1.04 , 0, clause( 136, [ ~( =( d, negate( add( negate( e ), negate( add( d,
% 0.41/1.04 negate( e ) ) ) ) ) ) ), ~( 'positive_integer'( k ) ) ] )
% 0.41/1.04 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 eqrefl(
% 0.41/1.04 clause( 138, [ ~( 'positive_integer'( k ) ) ] )
% 0.41/1.04 , clause( 137, [ ~( =( d, d ) ), ~( 'positive_integer'( k ) ) ] )
% 0.41/1.04 , 0, substitution( 0, [] )).
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 resolution(
% 0.41/1.04 clause( 139, [] )
% 0.41/1.04 , clause( 138, [ ~( 'positive_integer'( k ) ) ] )
% 0.41/1.04 , 0, clause( 8, [ 'positive_integer'( k ) ] )
% 0.41/1.04 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 subsumption(
% 0.41/1.04 clause( 83, [] )
% 0.41/1.04 , clause( 139, [] )
% 0.41/1.04 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 end.
% 0.41/1.04
% 0.41/1.04 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.04
% 0.41/1.04 Memory use:
% 0.41/1.04
% 0.41/1.04 space for terms: 1482
% 0.41/1.04 space for clauses: 8461
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 clauses generated: 265
% 0.41/1.04 clauses kept: 84
% 0.41/1.04 clauses selected: 31
% 0.41/1.04 clauses deleted: 0
% 0.41/1.04 clauses inuse deleted: 0
% 0.41/1.04
% 0.41/1.04 subsentry: 465
% 0.41/1.04 literals s-matched: 307
% 0.41/1.04 literals matched: 307
% 0.41/1.04 full subsumption: 0
% 0.41/1.04
% 0.41/1.04 checksum: 879620125
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 Bliksem ended
%------------------------------------------------------------------------------