TSTP Solution File: COL031-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL031-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 00:12:25 EDT 2022
% Result : Unsatisfiable 0.86s 1.23s
% Output : Refutation 0.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : COL031-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue May 31 11:12:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.86/1.23 *** allocated 10000 integers for termspace/termends
% 0.86/1.23 *** allocated 10000 integers for clauses
% 0.86/1.23 *** allocated 10000 integers for justifications
% 0.86/1.23 Bliksem 1.12
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 Automatic Strategy Selection
% 0.86/1.23
% 0.86/1.23 Clauses:
% 0.86/1.23 [
% 0.86/1.23 [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ],
% 0.86/1.23 [ =( apply( apply( o, X ), Y ), apply( Y, apply( X, Y ) ) ) ],
% 0.86/1.23 [ ~( =( apply( X, f( X ) ), apply( f( X ), apply( X, f( X ) ) ) ) ) ]
% 0.86/1.23 ] .
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 percentage equality = 1.000000, percentage horn = 1.000000
% 0.86/1.23 This is a pure equality problem
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 Options Used:
% 0.86/1.23
% 0.86/1.23 useres = 1
% 0.86/1.23 useparamod = 1
% 0.86/1.23 useeqrefl = 1
% 0.86/1.23 useeqfact = 1
% 0.86/1.23 usefactor = 1
% 0.86/1.23 usesimpsplitting = 0
% 0.86/1.23 usesimpdemod = 5
% 0.86/1.23 usesimpres = 3
% 0.86/1.23
% 0.86/1.23 resimpinuse = 1000
% 0.86/1.23 resimpclauses = 20000
% 0.86/1.23 substype = eqrewr
% 0.86/1.23 backwardsubs = 1
% 0.86/1.23 selectoldest = 5
% 0.86/1.23
% 0.86/1.23 litorderings [0] = split
% 0.86/1.23 litorderings [1] = extend the termordering, first sorting on arguments
% 0.86/1.23
% 0.86/1.23 termordering = kbo
% 0.86/1.23
% 0.86/1.23 litapriori = 0
% 0.86/1.23 termapriori = 1
% 0.86/1.23 litaposteriori = 0
% 0.86/1.23 termaposteriori = 0
% 0.86/1.23 demodaposteriori = 0
% 0.86/1.23 ordereqreflfact = 0
% 0.86/1.23
% 0.86/1.23 litselect = negord
% 0.86/1.23
% 0.86/1.23 maxweight = 15
% 0.86/1.23 maxdepth = 30000
% 0.86/1.23 maxlength = 115
% 0.86/1.23 maxnrvars = 195
% 0.86/1.23 excuselevel = 1
% 0.86/1.23 increasemaxweight = 1
% 0.86/1.23
% 0.86/1.23 maxselected = 10000000
% 0.86/1.23 maxnrclauses = 10000000
% 0.86/1.23
% 0.86/1.23 showgenerated = 0
% 0.86/1.23 showkept = 0
% 0.86/1.23 showselected = 0
% 0.86/1.23 showdeleted = 0
% 0.86/1.23 showresimp = 1
% 0.86/1.23 showstatus = 2000
% 0.86/1.23
% 0.86/1.23 prologoutput = 1
% 0.86/1.23 nrgoals = 5000000
% 0.86/1.23 totalproof = 1
% 0.86/1.23
% 0.86/1.23 Symbols occurring in the translation:
% 0.86/1.23
% 0.86/1.23 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.86/1.23 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 0.86/1.23 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.86/1.23 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.23 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.23 l [39, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.86/1.23 apply [41, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.86/1.23 o [43, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.86/1.23 f [44, 1] (w:1, o:18, a:1, s:1, b:0).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 Starting Search:
% 0.86/1.23
% 0.86/1.23 Resimplifying inuse:
% 0.86/1.23 Done
% 0.86/1.23
% 0.86/1.23 Failed to find proof!
% 0.86/1.23 maxweight = 15
% 0.86/1.23 maxnrclauses = 10000000
% 0.86/1.23 Generated: 3304
% 0.86/1.23 Kept: 40
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 The strategy used was not complete!
% 0.86/1.23
% 0.86/1.23 Increased maxweight to 16
% 0.86/1.23
% 0.86/1.23 Starting Search:
% 0.86/1.23
% 0.86/1.23 Resimplifying inuse:
% 0.86/1.23 Done
% 0.86/1.23
% 0.86/1.23 Failed to find proof!
% 0.86/1.23 maxweight = 16
% 0.86/1.23 maxnrclauses = 10000000
% 0.86/1.23 Generated: 3304
% 0.86/1.23 Kept: 40
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 The strategy used was not complete!
% 0.86/1.23
% 0.86/1.23 Increased maxweight to 17
% 0.86/1.23
% 0.86/1.23 Starting Search:
% 0.86/1.23
% 0.86/1.23 Resimplifying inuse:
% 0.86/1.23 Done
% 0.86/1.23
% 0.86/1.23 Failed to find proof!
% 0.86/1.23 maxweight = 17
% 0.86/1.23 maxnrclauses = 10000000
% 0.86/1.23 Generated: 3952
% 0.86/1.23 Kept: 48
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 The strategy used was not complete!
% 0.86/1.23
% 0.86/1.23 Increased maxweight to 18
% 0.86/1.23
% 0.86/1.23 Starting Search:
% 0.86/1.23
% 0.86/1.23 Resimplifying inuse:
% 0.86/1.23 Done
% 0.86/1.23
% 0.86/1.23 Failed to find proof!
% 0.86/1.23 maxweight = 18
% 0.86/1.23 maxnrclauses = 10000000
% 0.86/1.23 Generated: 3952
% 0.86/1.23 Kept: 48
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 The strategy used was not complete!
% 0.86/1.23
% 0.86/1.23 Increased maxweight to 19
% 0.86/1.23
% 0.86/1.23 Starting Search:
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 Bliksems!, er is een bewijs:
% 0.86/1.23 % SZS status Unsatisfiable
% 0.86/1.23 % SZS output start Refutation
% 0.86/1.23
% 0.86/1.23 clause( 0, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ] )
% 0.86/1.23 .
% 0.86/1.23 clause( 1, [ =( apply( apply( o, X ), Y ), apply( Y, apply( X, Y ) ) ) ] )
% 0.86/1.23 .
% 0.86/1.23 clause( 2, [ ~( =( apply( f( X ), apply( X, f( X ) ) ), apply( X, f( X ) )
% 0.86/1.23 ) ) ] )
% 0.86/1.23 .
% 0.86/1.23 clause( 24, [ ~( =( apply( apply( o, X ), f( X ) ), apply( X, f( X ) ) ) )
% 0.86/1.23 ] )
% 0.86/1.23 .
% 0.86/1.23 clause( 26, [ ~( =( apply( apply( apply( l, o ), X ), f( apply( X, X ) ) )
% 0.86/1.23 , apply( apply( X, X ), f( apply( X, X ) ) ) ) ) ] )
% 0.86/1.23 .
% 0.86/1.23 clause( 28, [] )
% 0.86/1.23 .
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 % SZS output end Refutation
% 0.86/1.23 found a proof!
% 0.86/1.23
% 0.86/1.23 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.86/1.23
% 0.86/1.23 initialclauses(
% 0.86/1.23 [ clause( 30, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ]
% 0.86/1.23 )
% 0.86/1.23 , clause( 31, [ =( apply( apply( o, X ), Y ), apply( Y, apply( X, Y ) ) ) ]
% 0.86/1.23 )
% 0.86/1.23 , clause( 32, [ ~( =( apply( X, f( X ) ), apply( f( X ), apply( X, f( X ) )
% 0.86/1.23 ) ) ) ] )
% 0.86/1.23 ] ).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 subsumption(
% 0.86/1.23 clause( 0, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ] )
% 0.86/1.23 , clause( 30, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ]
% 0.86/1.23 )
% 0.86/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.86/1.23 )] ) ).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 subsumption(
% 0.86/1.23 clause( 1, [ =( apply( apply( o, X ), Y ), apply( Y, apply( X, Y ) ) ) ] )
% 0.86/1.23 , clause( 31, [ =( apply( apply( o, X ), Y ), apply( Y, apply( X, Y ) ) ) ]
% 0.86/1.23 )
% 0.86/1.23 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.86/1.23 )] ) ).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 eqswap(
% 0.86/1.23 clause( 38, [ ~( =( apply( f( X ), apply( X, f( X ) ) ), apply( X, f( X ) )
% 0.86/1.23 ) ) ] )
% 0.86/1.23 , clause( 32, [ ~( =( apply( X, f( X ) ), apply( f( X ), apply( X, f( X ) )
% 0.86/1.23 ) ) ) ] )
% 0.86/1.23 , 0, substitution( 0, [ :=( X, X )] )).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 subsumption(
% 0.86/1.23 clause( 2, [ ~( =( apply( f( X ), apply( X, f( X ) ) ), apply( X, f( X ) )
% 0.86/1.23 ) ) ] )
% 0.86/1.23 , clause( 38, [ ~( =( apply( f( X ), apply( X, f( X ) ) ), apply( X, f( X )
% 0.86/1.23 ) ) ) ] )
% 0.86/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 eqswap(
% 0.86/1.23 clause( 39, [ =( apply( Y, apply( X, Y ) ), apply( apply( o, X ), Y ) ) ]
% 0.86/1.23 )
% 0.86/1.23 , clause( 1, [ =( apply( apply( o, X ), Y ), apply( Y, apply( X, Y ) ) ) ]
% 0.86/1.23 )
% 0.86/1.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 eqswap(
% 0.86/1.23 clause( 40, [ ~( =( apply( X, f( X ) ), apply( f( X ), apply( X, f( X ) ) )
% 0.86/1.23 ) ) ] )
% 0.86/1.23 , clause( 2, [ ~( =( apply( f( X ), apply( X, f( X ) ) ), apply( X, f( X )
% 0.86/1.23 ) ) ) ] )
% 0.86/1.23 , 0, substitution( 0, [ :=( X, X )] )).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 paramod(
% 0.86/1.23 clause( 41, [ ~( =( apply( X, f( X ) ), apply( apply( o, X ), f( X ) ) ) )
% 0.86/1.23 ] )
% 0.86/1.23 , clause( 39, [ =( apply( Y, apply( X, Y ) ), apply( apply( o, X ), Y ) ) ]
% 0.86/1.23 )
% 0.86/1.23 , 0, clause( 40, [ ~( =( apply( X, f( X ) ), apply( f( X ), apply( X, f( X
% 0.86/1.23 ) ) ) ) ) ] )
% 0.86/1.23 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, f( X ) )] ), substitution( 1
% 0.86/1.23 , [ :=( X, X )] )).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 eqswap(
% 0.86/1.23 clause( 42, [ ~( =( apply( apply( o, X ), f( X ) ), apply( X, f( X ) ) ) )
% 0.86/1.23 ] )
% 0.86/1.23 , clause( 41, [ ~( =( apply( X, f( X ) ), apply( apply( o, X ), f( X ) ) )
% 0.86/1.23 ) ] )
% 0.86/1.23 , 0, substitution( 0, [ :=( X, X )] )).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 subsumption(
% 0.86/1.23 clause( 24, [ ~( =( apply( apply( o, X ), f( X ) ), apply( X, f( X ) ) ) )
% 0.86/1.23 ] )
% 0.86/1.23 , clause( 42, [ ~( =( apply( apply( o, X ), f( X ) ), apply( X, f( X ) ) )
% 0.86/1.23 ) ] )
% 0.86/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 eqswap(
% 0.86/1.23 clause( 43, [ =( apply( X, apply( Y, Y ) ), apply( apply( l, X ), Y ) ) ]
% 0.86/1.23 )
% 0.86/1.23 , clause( 0, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ]
% 0.86/1.23 )
% 0.86/1.23 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 eqswap(
% 0.86/1.23 clause( 44, [ ~( =( apply( X, f( X ) ), apply( apply( o, X ), f( X ) ) ) )
% 0.86/1.23 ] )
% 0.86/1.23 , clause( 24, [ ~( =( apply( apply( o, X ), f( X ) ), apply( X, f( X ) ) )
% 0.86/1.23 ) ] )
% 0.86/1.23 , 0, substitution( 0, [ :=( X, X )] )).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 paramod(
% 0.86/1.23 clause( 45, [ ~( =( apply( apply( X, X ), f( apply( X, X ) ) ), apply(
% 0.86/1.23 apply( apply( l, o ), X ), f( apply( X, X ) ) ) ) ) ] )
% 0.86/1.23 , clause( 43, [ =( apply( X, apply( Y, Y ) ), apply( apply( l, X ), Y ) ) ]
% 0.86/1.23 )
% 0.86/1.23 , 0, clause( 44, [ ~( =( apply( X, f( X ) ), apply( apply( o, X ), f( X ) )
% 0.86/1.23 ) ) ] )
% 0.86/1.23 , 0, 11, substitution( 0, [ :=( X, o ), :=( Y, X )] ), substitution( 1, [
% 0.86/1.23 :=( X, apply( X, X ) )] )).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 eqswap(
% 0.86/1.23 clause( 46, [ ~( =( apply( apply( apply( l, o ), X ), f( apply( X, X ) ) )
% 0.86/1.23 , apply( apply( X, X ), f( apply( X, X ) ) ) ) ) ] )
% 0.86/1.23 , clause( 45, [ ~( =( apply( apply( X, X ), f( apply( X, X ) ) ), apply(
% 0.86/1.23 apply( apply( l, o ), X ), f( apply( X, X ) ) ) ) ) ] )
% 0.86/1.23 , 0, substitution( 0, [ :=( X, X )] )).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 subsumption(
% 0.86/1.23 clause( 26, [ ~( =( apply( apply( apply( l, o ), X ), f( apply( X, X ) ) )
% 0.86/1.23 , apply( apply( X, X ), f( apply( X, X ) ) ) ) ) ] )
% 0.86/1.23 , clause( 46, [ ~( =( apply( apply( apply( l, o ), X ), f( apply( X, X ) )
% 0.86/1.23 ), apply( apply( X, X ), f( apply( X, X ) ) ) ) ) ] )
% 0.86/1.23 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 eqswap(
% 0.86/1.23 clause( 47, [ ~( =( apply( apply( X, X ), f( apply( X, X ) ) ), apply(
% 0.86/1.23 apply( apply( l, o ), X ), f( apply( X, X ) ) ) ) ) ] )
% 0.86/1.23 , clause( 26, [ ~( =( apply( apply( apply( l, o ), X ), f( apply( X, X ) )
% 0.86/1.23 ), apply( apply( X, X ), f( apply( X, X ) ) ) ) ) ] )
% 0.86/1.23 , 0, substitution( 0, [ :=( X, X )] )).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 eqrefl(
% 0.86/1.23 clause( 48, [] )
% 0.86/1.23 , clause( 47, [ ~( =( apply( apply( X, X ), f( apply( X, X ) ) ), apply(
% 0.86/1.23 apply( apply( l, o ), X ), f( apply( X, X ) ) ) ) ) ] )
% 0.86/1.23 , 0, substitution( 0, [ :=( X, apply( l, o ) )] )).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 subsumption(
% 0.86/1.23 clause( 28, [] )
% 0.86/1.23 , clause( 48, [] )
% 0.86/1.23 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 end.
% 0.86/1.23
% 0.86/1.23 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.86/1.23
% 0.86/1.23 Memory use:
% 0.86/1.23
% 0.86/1.23 space for terms: 572
% 0.86/1.23 space for clauses: 4408
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 clauses generated: 58
% 0.86/1.23 clauses kept: 29
% 0.86/1.23 clauses selected: 5
% 0.86/1.23 clauses deleted: 0
% 0.86/1.23 clauses inuse deleted: 0
% 0.86/1.23
% 0.86/1.23 subsentry: 64
% 0.86/1.23 literals s-matched: 32
% 0.86/1.23 literals matched: 32
% 0.86/1.23 full subsumption: 0
% 0.86/1.23
% 0.86/1.23 checksum: -1424101421
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 Bliksem ended
%------------------------------------------------------------------------------