TSTP Solution File: ROB002-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ROB002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 20:49:25 EDT 2022
% Result : Unsatisfiable 0.73s 1.09s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ROB002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Thu Jun 9 16:05:19 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.73/1.09 *** allocated 10000 integers for termspace/termends
% 0.73/1.09 *** allocated 10000 integers for clauses
% 0.73/1.09 *** allocated 10000 integers for justifications
% 0.73/1.09 Bliksem 1.12
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Automatic Strategy Selection
% 0.73/1.09
% 0.73/1.09 Clauses:
% 0.73/1.09 [
% 0.73/1.09 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.73/1.09 [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ],
% 0.73/1.09 [ =( negate( add( negate( add( X, Y ) ), negate( add( X, negate( Y ) ) )
% 0.73/1.09 ) ), X ) ],
% 0.73/1.09 [ =( negate( negate( X ) ), X ) ],
% 0.73/1.09 [ ~( =( add( negate( add( a, negate( b ) ) ), negate( add( negate( a ),
% 0.73/1.09 negate( b ) ) ) ), b ) ) ]
% 0.73/1.09 ] .
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 percentage equality = 1.000000, percentage horn = 1.000000
% 0.73/1.09 This is a pure equality problem
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Options Used:
% 0.73/1.09
% 0.73/1.09 useres = 1
% 0.73/1.09 useparamod = 1
% 0.73/1.09 useeqrefl = 1
% 0.73/1.09 useeqfact = 1
% 0.73/1.09 usefactor = 1
% 0.73/1.09 usesimpsplitting = 0
% 0.73/1.09 usesimpdemod = 5
% 0.73/1.09 usesimpres = 3
% 0.73/1.09
% 0.73/1.09 resimpinuse = 1000
% 0.73/1.09 resimpclauses = 20000
% 0.73/1.09 substype = eqrewr
% 0.73/1.09 backwardsubs = 1
% 0.73/1.09 selectoldest = 5
% 0.73/1.09
% 0.73/1.09 litorderings [0] = split
% 0.73/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.09
% 0.73/1.09 termordering = kbo
% 0.73/1.09
% 0.73/1.09 litapriori = 0
% 0.73/1.09 termapriori = 1
% 0.73/1.09 litaposteriori = 0
% 0.73/1.09 termaposteriori = 0
% 0.73/1.09 demodaposteriori = 0
% 0.73/1.09 ordereqreflfact = 0
% 0.73/1.09
% 0.73/1.09 litselect = negord
% 0.73/1.09
% 0.73/1.09 maxweight = 15
% 0.73/1.09 maxdepth = 30000
% 0.73/1.09 maxlength = 115
% 0.73/1.09 maxnrvars = 195
% 0.73/1.09 excuselevel = 1
% 0.73/1.09 increasemaxweight = 1
% 0.73/1.09
% 0.73/1.09 maxselected = 10000000
% 0.73/1.09 maxnrclauses = 10000000
% 0.73/1.09
% 0.73/1.09 showgenerated = 0
% 0.73/1.09 showkept = 0
% 0.73/1.09 showselected = 0
% 0.73/1.09 showdeleted = 0
% 0.73/1.09 showresimp = 1
% 0.73/1.09 showstatus = 2000
% 0.73/1.09
% 0.73/1.09 prologoutput = 1
% 0.73/1.09 nrgoals = 5000000
% 0.73/1.09 totalproof = 1
% 0.73/1.09
% 0.73/1.09 Symbols occurring in the translation:
% 0.73/1.09
% 0.73/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.09 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.73/1.09 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.73/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.09 add [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.73/1.09 negate [43, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.73/1.09 a [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.73/1.09 b [45, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Starting Search:
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Bliksems!, er is een bewijs:
% 0.73/1.09 % SZS status Unsatisfiable
% 0.73/1.09 % SZS output start Refutation
% 0.73/1.09
% 0.73/1.09 clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 2, [ =( negate( add( negate( add( X, Y ) ), negate( add( X, negate(
% 0.73/1.09 Y ) ) ) ) ), X ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 3, [ =( negate( negate( X ) ), X ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 4, [ ~( =( add( negate( add( a, negate( b ) ) ), negate( add(
% 0.73/1.09 negate( a ), negate( b ) ) ) ), b ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 24, [ =( add( negate( add( X, Y ) ), negate( add( X, negate( Y ) )
% 0.73/1.09 ) ), negate( X ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 34, [ =( add( negate( add( X, Y ) ), negate( add( negate( Y ), X )
% 0.73/1.09 ) ), negate( X ) ) ] )
% 0.73/1.09 .
% 0.73/1.09 clause( 38, [] )
% 0.73/1.09 .
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 % SZS output end Refutation
% 0.73/1.09 found a proof!
% 0.73/1.09
% 0.73/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.09
% 0.73/1.09 initialclauses(
% 0.73/1.09 [ clause( 40, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.73/1.09 , clause( 41, [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ] )
% 0.73/1.09 , clause( 42, [ =( negate( add( negate( add( X, Y ) ), negate( add( X,
% 0.73/1.09 negate( Y ) ) ) ) ), X ) ] )
% 0.73/1.09 , clause( 43, [ =( negate( negate( X ) ), X ) ] )
% 0.73/1.09 , clause( 44, [ ~( =( add( negate( add( a, negate( b ) ) ), negate( add(
% 0.73/1.09 negate( a ), negate( b ) ) ) ), b ) ) ] )
% 0.73/1.09 ] ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.73/1.09 , clause( 40, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.09 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 2, [ =( negate( add( negate( add( X, Y ) ), negate( add( X, negate(
% 0.73/1.09 Y ) ) ) ) ), X ) ] )
% 0.73/1.09 , clause( 42, [ =( negate( add( negate( add( X, Y ) ), negate( add( X,
% 0.73/1.09 negate( Y ) ) ) ) ), X ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.09 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 3, [ =( negate( negate( X ) ), X ) ] )
% 0.73/1.09 , clause( 43, [ =( negate( negate( X ) ), X ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 4, [ ~( =( add( negate( add( a, negate( b ) ) ), negate( add(
% 0.73/1.09 negate( a ), negate( b ) ) ) ), b ) ) ] )
% 0.73/1.09 , clause( 44, [ ~( =( add( negate( add( a, negate( b ) ) ), negate( add(
% 0.73/1.09 negate( a ), negate( b ) ) ) ), b ) ) ] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 55, [ =( X, negate( negate( X ) ) ) ] )
% 0.73/1.09 , clause( 3, [ =( negate( negate( X ) ), X ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 58, [ =( add( negate( add( X, Y ) ), negate( add( X, negate( Y ) )
% 0.73/1.09 ) ), negate( X ) ) ] )
% 0.73/1.09 , clause( 2, [ =( negate( add( negate( add( X, Y ) ), negate( add( X,
% 0.73/1.09 negate( Y ) ) ) ) ), X ) ] )
% 0.73/1.09 , 0, clause( 55, [ =( X, negate( negate( X ) ) ) ] )
% 0.73/1.09 , 0, 12, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.73/1.09 :=( X, add( negate( add( X, Y ) ), negate( add( X, negate( Y ) ) ) ) )] )
% 0.73/1.09 ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 24, [ =( add( negate( add( X, Y ) ), negate( add( X, negate( Y ) )
% 0.73/1.09 ) ), negate( X ) ) ] )
% 0.73/1.09 , clause( 58, [ =( add( negate( add( X, Y ) ), negate( add( X, negate( Y )
% 0.73/1.09 ) ) ), negate( X ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.09 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 60, [ =( negate( X ), add( negate( add( X, Y ) ), negate( add( X,
% 0.73/1.09 negate( Y ) ) ) ) ) ] )
% 0.73/1.09 , clause( 24, [ =( add( negate( add( X, Y ) ), negate( add( X, negate( Y )
% 0.73/1.09 ) ) ), negate( X ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 63, [ =( negate( X ), add( negate( add( X, Y ) ), negate( add(
% 0.73/1.09 negate( Y ), X ) ) ) ) ] )
% 0.73/1.09 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.73/1.09 , 0, clause( 60, [ =( negate( X ), add( negate( add( X, Y ) ), negate( add(
% 0.73/1.09 X, negate( Y ) ) ) ) ) ] )
% 0.73/1.09 , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, negate( Y ) )] ),
% 0.73/1.09 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 76, [ =( add( negate( add( X, Y ) ), negate( add( negate( Y ), X )
% 0.73/1.09 ) ), negate( X ) ) ] )
% 0.73/1.09 , clause( 63, [ =( negate( X ), add( negate( add( X, Y ) ), negate( add(
% 0.73/1.09 negate( Y ), X ) ) ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 34, [ =( add( negate( add( X, Y ) ), negate( add( negate( Y ), X )
% 0.73/1.09 ) ), negate( X ) ) ] )
% 0.73/1.09 , clause( 76, [ =( add( negate( add( X, Y ) ), negate( add( negate( Y ), X
% 0.73/1.09 ) ) ), negate( X ) ) ] )
% 0.73/1.09 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.09 )] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqswap(
% 0.73/1.09 clause( 77, [ ~( =( b, add( negate( add( a, negate( b ) ) ), negate( add(
% 0.73/1.09 negate( a ), negate( b ) ) ) ) ) ) ] )
% 0.73/1.09 , clause( 4, [ ~( =( add( negate( add( a, negate( b ) ) ), negate( add(
% 0.73/1.09 negate( a ), negate( b ) ) ) ), b ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 81, [ ~( =( b, add( negate( add( negate( b ), a ) ), negate( add(
% 0.73/1.09 negate( a ), negate( b ) ) ) ) ) ) ] )
% 0.73/1.09 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.73/1.09 , 0, clause( 77, [ ~( =( b, add( negate( add( a, negate( b ) ) ), negate(
% 0.73/1.09 add( negate( a ), negate( b ) ) ) ) ) ) ] )
% 0.73/1.09 , 0, 5, substitution( 0, [ :=( X, a ), :=( Y, negate( b ) )] ),
% 0.73/1.09 substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 88, [ ~( =( b, negate( negate( b ) ) ) ) ] )
% 0.73/1.09 , clause( 34, [ =( add( negate( add( X, Y ) ), negate( add( negate( Y ), X
% 0.73/1.09 ) ) ), negate( X ) ) ] )
% 0.73/1.09 , 0, clause( 81, [ ~( =( b, add( negate( add( negate( b ), a ) ), negate(
% 0.73/1.09 add( negate( a ), negate( b ) ) ) ) ) ) ] )
% 0.73/1.09 , 0, 3, substitution( 0, [ :=( X, negate( b ) ), :=( Y, a )] ),
% 0.73/1.09 substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 paramod(
% 0.73/1.09 clause( 89, [ ~( =( b, b ) ) ] )
% 0.73/1.09 , clause( 3, [ =( negate( negate( X ) ), X ) ] )
% 0.73/1.09 , 0, clause( 88, [ ~( =( b, negate( negate( b ) ) ) ) ] )
% 0.73/1.09 , 0, 3, substitution( 0, [ :=( X, b )] ), substitution( 1, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 eqrefl(
% 0.73/1.09 clause( 90, [] )
% 0.73/1.09 , clause( 89, [ ~( =( b, b ) ) ] )
% 0.73/1.09 , 0, substitution( 0, [] )).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 subsumption(
% 0.73/1.09 clause( 38, [] )
% 0.73/1.09 , clause( 90, [] )
% 0.73/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 end.
% 0.73/1.09
% 0.73/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.09
% 0.73/1.09 Memory use:
% 0.73/1.09
% 0.73/1.09 space for terms: 655
% 0.73/1.09 space for clauses: 3941
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 clauses generated: 400
% 0.73/1.09 clauses kept: 39
% 0.73/1.09 clauses selected: 11
% 0.73/1.09 clauses deleted: 0
% 0.73/1.09 clauses inuse deleted: 0
% 0.73/1.09
% 0.73/1.09 subsentry: 654
% 0.73/1.09 literals s-matched: 305
% 0.73/1.09 literals matched: 281
% 0.73/1.09 full subsumption: 0
% 0.73/1.09
% 0.73/1.09 checksum: -313651293
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Bliksem ended
%------------------------------------------------------------------------------