TSTP Solution File: COL016-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL016-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 : Fri Jul 15 00:12:23 EDT 2022
% Result : Unsatisfiable 0.44s 0.86s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : COL016-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.08 % Command : bliksem %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % DateTime : Tue May 31 14:06:28 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.44/0.86 *** allocated 10000 integers for termspace/termends
% 0.44/0.86 *** allocated 10000 integers for clauses
% 0.44/0.86 *** allocated 10000 integers for justifications
% 0.44/0.86 Bliksem 1.12
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 Automatic Strategy Selection
% 0.44/0.86
% 0.44/0.86 Clauses:
% 0.44/0.86 [
% 0.44/0.86 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 0.44/0.86 ],
% 0.44/0.86 [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ],
% 0.44/0.86 [ =( apply( m, X ), apply( X, X ) ) ],
% 0.44/0.86 [ ~( =( X, apply( combinator, X ) ) ) ]
% 0.44/0.86 ] .
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 percentage equality = 1.000000, percentage horn = 1.000000
% 0.44/0.86 This is a pure equality problem
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 Options Used:
% 0.44/0.86
% 0.44/0.86 useres = 1
% 0.44/0.86 useparamod = 1
% 0.44/0.86 useeqrefl = 1
% 0.44/0.86 useeqfact = 1
% 0.44/0.86 usefactor = 1
% 0.44/0.86 usesimpsplitting = 0
% 0.44/0.86 usesimpdemod = 5
% 0.44/0.86 usesimpres = 3
% 0.44/0.86
% 0.44/0.86 resimpinuse = 1000
% 0.44/0.86 resimpclauses = 20000
% 0.44/0.86 substype = eqrewr
% 0.44/0.86 backwardsubs = 1
% 0.44/0.86 selectoldest = 5
% 0.44/0.86
% 0.44/0.86 litorderings [0] = split
% 0.44/0.86 litorderings [1] = extend the termordering, first sorting on arguments
% 0.44/0.86
% 0.44/0.86 termordering = kbo
% 0.44/0.86
% 0.44/0.86 litapriori = 0
% 0.44/0.86 termapriori = 1
% 0.44/0.86 litaposteriori = 0
% 0.44/0.86 termaposteriori = 0
% 0.44/0.86 demodaposteriori = 0
% 0.44/0.86 ordereqreflfact = 0
% 0.44/0.86
% 0.44/0.86 litselect = negord
% 0.44/0.86
% 0.44/0.86 maxweight = 15
% 0.44/0.86 maxdepth = 30000
% 0.44/0.86 maxlength = 115
% 0.44/0.86 maxnrvars = 195
% 0.44/0.86 excuselevel = 1
% 0.44/0.86 increasemaxweight = 1
% 0.44/0.86
% 0.44/0.86 maxselected = 10000000
% 0.44/0.86 maxnrclauses = 10000000
% 0.44/0.86
% 0.44/0.86 showgenerated = 0
% 0.44/0.86 showkept = 0
% 0.44/0.86 showselected = 0
% 0.44/0.86 showdeleted = 0
% 0.44/0.86 showresimp = 1
% 0.44/0.86 showstatus = 2000
% 0.44/0.86
% 0.44/0.86 prologoutput = 1
% 0.44/0.86 nrgoals = 5000000
% 0.44/0.86 totalproof = 1
% 0.44/0.86
% 0.44/0.86 Symbols occurring in the translation:
% 0.44/0.86
% 0.44/0.86 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/0.86 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.44/0.86 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.44/0.86 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/0.86 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/0.86 b [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.44/0.86 apply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.44/0.86 l [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.44/0.86 m [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.44/0.86 combinator [46, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 Starting Search:
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 Bliksems!, er is een bewijs:
% 0.44/0.86 % SZS status Unsatisfiable
% 0.44/0.86 % SZS output start Refutation
% 0.44/0.86
% 0.44/0.86 clause( 1, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ] )
% 0.44/0.86 .
% 0.44/0.86 clause( 3, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.44/0.86 .
% 0.44/0.86 clause( 15, [ ~( =( apply( apply( l, combinator ), X ), apply( X, X ) ) ) ]
% 0.44/0.86 )
% 0.44/0.86 .
% 0.44/0.86 clause( 16, [] )
% 0.44/0.86 .
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 % SZS output end Refutation
% 0.44/0.86 found a proof!
% 0.44/0.86
% 0.44/0.86 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/0.86
% 0.44/0.86 initialclauses(
% 0.44/0.86 [ clause( 18, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 0.44/0.86 Y, Z ) ) ) ] )
% 0.44/0.86 , clause( 19, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ]
% 0.44/0.86 )
% 0.44/0.86 , clause( 20, [ =( apply( m, X ), apply( X, X ) ) ] )
% 0.44/0.86 , clause( 21, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.44/0.86 ] ).
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 subsumption(
% 0.44/0.86 clause( 1, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ] )
% 0.44/0.86 , clause( 19, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ]
% 0.44/0.86 )
% 0.44/0.86 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/0.86 )] ) ).
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 eqswap(
% 0.44/0.86 clause( 27, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.44/0.86 , clause( 21, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.44/0.86 , 0, substitution( 0, [ :=( X, X )] )).
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 subsumption(
% 0.44/0.86 clause( 3, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.44/0.86 , clause( 27, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.44/0.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 eqswap(
% 0.44/0.86 clause( 28, [ =( apply( X, apply( Y, Y ) ), apply( apply( l, X ), Y ) ) ]
% 0.44/0.86 )
% 0.44/0.86 , clause( 1, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ]
% 0.44/0.86 )
% 0.44/0.86 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 eqswap(
% 0.44/0.86 clause( 29, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.44/0.86 , clause( 3, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.44/0.86 , 0, substitution( 0, [ :=( X, X )] )).
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 paramod(
% 0.44/0.86 clause( 30, [ ~( =( apply( X, X ), apply( apply( l, combinator ), X ) ) ) ]
% 0.44/0.86 )
% 0.44/0.86 , clause( 28, [ =( apply( X, apply( Y, Y ) ), apply( apply( l, X ), Y ) ) ]
% 0.44/0.86 )
% 0.44/0.86 , 0, clause( 29, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.44/0.86 , 0, 5, substitution( 0, [ :=( X, combinator ), :=( Y, X )] ),
% 0.44/0.86 substitution( 1, [ :=( X, apply( X, X ) )] )).
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 eqswap(
% 0.44/0.86 clause( 31, [ ~( =( apply( apply( l, combinator ), X ), apply( X, X ) ) ) ]
% 0.44/0.86 )
% 0.44/0.86 , clause( 30, [ ~( =( apply( X, X ), apply( apply( l, combinator ), X ) ) )
% 0.44/0.86 ] )
% 0.44/0.86 , 0, substitution( 0, [ :=( X, X )] )).
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 subsumption(
% 0.44/0.86 clause( 15, [ ~( =( apply( apply( l, combinator ), X ), apply( X, X ) ) ) ]
% 0.44/0.86 )
% 0.44/0.86 , clause( 31, [ ~( =( apply( apply( l, combinator ), X ), apply( X, X ) ) )
% 0.44/0.86 ] )
% 0.44/0.86 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 eqswap(
% 0.44/0.86 clause( 32, [ ~( =( apply( X, X ), apply( apply( l, combinator ), X ) ) ) ]
% 0.44/0.86 )
% 0.44/0.86 , clause( 15, [ ~( =( apply( apply( l, combinator ), X ), apply( X, X ) ) )
% 0.44/0.86 ] )
% 0.44/0.86 , 0, substitution( 0, [ :=( X, X )] )).
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 eqrefl(
% 0.44/0.86 clause( 33, [] )
% 0.44/0.86 , clause( 32, [ ~( =( apply( X, X ), apply( apply( l, combinator ), X ) ) )
% 0.44/0.86 ] )
% 0.44/0.86 , 0, substitution( 0, [ :=( X, apply( l, combinator ) )] )).
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 subsumption(
% 0.44/0.86 clause( 16, [] )
% 0.44/0.86 , clause( 33, [] )
% 0.44/0.86 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 end.
% 0.44/0.86
% 0.44/0.86 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/0.86
% 0.44/0.86 Memory use:
% 0.44/0.86
% 0.44/0.86 space for terms: 294
% 0.44/0.86 space for clauses: 2055
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 clauses generated: 39
% 0.44/0.86 clauses kept: 17
% 0.44/0.86 clauses selected: 4
% 0.44/0.86 clauses deleted: 0
% 0.44/0.86 clauses inuse deleted: 0
% 0.44/0.86
% 0.44/0.86 subsentry: 51
% 0.44/0.86 literals s-matched: 25
% 0.44/0.86 literals matched: 25
% 0.44/0.86 full subsumption: 0
% 0.44/0.86
% 0.44/0.86 checksum: 1807487189
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 Bliksem ended
%------------------------------------------------------------------------------