TSTP Solution File: COL039-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL039-1 : 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 00:12:26 EDT 2022
% Result : Unsatisfiable 3.01s 3.41s
% Output : Refutation 3.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : COL039-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.10 % Command : bliksem %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % DateTime : Tue May 31 11:49:43 EDT 2022
% 0.09/0.29 % CPUTime :
% 3.01/3.41 *** allocated 10000 integers for termspace/termends
% 3.01/3.41 *** allocated 10000 integers for clauses
% 3.01/3.41 *** allocated 10000 integers for justifications
% 3.01/3.41 Bliksem 1.12
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 Automatic Strategy Selection
% 3.01/3.41
% 3.01/3.41 Clauses:
% 3.01/3.41 [
% 3.01/3.41 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 3.01/3.41 ],
% 3.01/3.41 [ =( apply( m, X ), apply( X, X ) ) ],
% 3.01/3.41 [ =( apply( apply( o, X ), Y ), apply( Y, apply( X, Y ) ) ) ],
% 3.01/3.41 [ ~( =( apply( X, f( X ) ), apply( f( X ), apply( X, f( X ) ) ) ) ) ]
% 3.01/3.41 ] .
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 percentage equality = 1.000000, percentage horn = 1.000000
% 3.01/3.41 This is a pure equality problem
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 Options Used:
% 3.01/3.41
% 3.01/3.41 useres = 1
% 3.01/3.41 useparamod = 1
% 3.01/3.41 useeqrefl = 1
% 3.01/3.41 useeqfact = 1
% 3.01/3.41 usefactor = 1
% 3.01/3.41 usesimpsplitting = 0
% 3.01/3.41 usesimpdemod = 5
% 3.01/3.41 usesimpres = 3
% 3.01/3.41
% 3.01/3.41 resimpinuse = 1000
% 3.01/3.41 resimpclauses = 20000
% 3.01/3.41 substype = eqrewr
% 3.01/3.41 backwardsubs = 1
% 3.01/3.41 selectoldest = 5
% 3.01/3.41
% 3.01/3.41 litorderings [0] = split
% 3.01/3.41 litorderings [1] = extend the termordering, first sorting on arguments
% 3.01/3.41
% 3.01/3.41 termordering = kbo
% 3.01/3.41
% 3.01/3.41 litapriori = 0
% 3.01/3.41 termapriori = 1
% 3.01/3.41 litaposteriori = 0
% 3.01/3.41 termaposteriori = 0
% 3.01/3.41 demodaposteriori = 0
% 3.01/3.41 ordereqreflfact = 0
% 3.01/3.41
% 3.01/3.41 litselect = negord
% 3.01/3.41
% 3.01/3.41 maxweight = 15
% 3.01/3.41 maxdepth = 30000
% 3.01/3.41 maxlength = 115
% 3.01/3.41 maxnrvars = 195
% 3.01/3.41 excuselevel = 1
% 3.01/3.41 increasemaxweight = 1
% 3.01/3.41
% 3.01/3.41 maxselected = 10000000
% 3.01/3.41 maxnrclauses = 10000000
% 3.01/3.41
% 3.01/3.41 showgenerated = 0
% 3.01/3.41 showkept = 0
% 3.01/3.41 showselected = 0
% 3.01/3.41 showdeleted = 0
% 3.01/3.41 showresimp = 1
% 3.01/3.41 showstatus = 2000
% 3.01/3.41
% 3.01/3.41 prologoutput = 1
% 3.01/3.41 nrgoals = 5000000
% 3.01/3.41 totalproof = 1
% 3.01/3.41
% 3.01/3.41 Symbols occurring in the translation:
% 3.01/3.41
% 3.01/3.41 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.01/3.41 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 3.01/3.41 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 3.01/3.41 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.01/3.41 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.01/3.41 b [39, 0] (w:1, o:10, a:1, s:1, b:0),
% 3.01/3.41 apply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 3.01/3.41 m [44, 0] (w:1, o:14, a:1, s:1, b:0),
% 3.01/3.41 o [45, 0] (w:1, o:7, a:1, s:1, b:0),
% 3.01/3.41 f [46, 1] (w:1, o:20, a:1, s:1, b:0).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 Starting Search:
% 3.01/3.41
% 3.01/3.41 Resimplifying inuse:
% 3.01/3.41 Done
% 3.01/3.41
% 3.01/3.41 Resimplifying inuse:
% 3.01/3.41 Done
% 3.01/3.41
% 3.01/3.41 Failed to find proof!
% 3.01/3.41 maxweight = 15
% 3.01/3.41 maxnrclauses = 10000000
% 3.01/3.41 Generated: 3533
% 3.01/3.41 Kept: 62
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 The strategy used was not complete!
% 3.01/3.41
% 3.01/3.41 Increased maxweight to 16
% 3.01/3.41
% 3.01/3.41 Starting Search:
% 3.01/3.41
% 3.01/3.41 Resimplifying inuse:
% 3.01/3.41 Done
% 3.01/3.41
% 3.01/3.41 Resimplifying inuse:
% 3.01/3.41 Done
% 3.01/3.41
% 3.01/3.41 Failed to find proof!
% 3.01/3.41 maxweight = 16
% 3.01/3.41 maxnrclauses = 10000000
% 3.01/3.41 Generated: 3533
% 3.01/3.41 Kept: 62
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 The strategy used was not complete!
% 3.01/3.41
% 3.01/3.41 Increased maxweight to 17
% 3.01/3.41
% 3.01/3.41 Starting Search:
% 3.01/3.41
% 3.01/3.41 Resimplifying inuse:
% 3.01/3.41 Done
% 3.01/3.41
% 3.01/3.41 Resimplifying inuse:
% 3.01/3.41 Done
% 3.01/3.41
% 3.01/3.41 Failed to find proof!
% 3.01/3.41 maxweight = 17
% 3.01/3.41 maxnrclauses = 10000000
% 3.01/3.41 Generated: 10875
% 3.01/3.41 Kept: 140
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 The strategy used was not complete!
% 3.01/3.41
% 3.01/3.41 Increased maxweight to 18
% 3.01/3.41
% 3.01/3.41 Starting Search:
% 3.01/3.41
% 3.01/3.41 Resimplifying inuse:
% 3.01/3.41 Done
% 3.01/3.41
% 3.01/3.41 Resimplifying inuse:
% 3.01/3.41 Done
% 3.01/3.41
% 3.01/3.41 Failed to find proof!
% 3.01/3.41 maxweight = 18
% 3.01/3.41 maxnrclauses = 10000000
% 3.01/3.41 Generated: 10875
% 3.01/3.41 Kept: 140
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 The strategy used was not complete!
% 3.01/3.41
% 3.01/3.41 Increased maxweight to 19
% 3.01/3.41
% 3.01/3.41 Starting Search:
% 3.01/3.41
% 3.01/3.41 Resimplifying inuse:
% 3.01/3.41 Done
% 3.01/3.41
% 3.01/3.41 Resimplifying inuse:
% 3.01/3.41 Done
% 3.01/3.41
% 3.01/3.41 Failed to find proof!
% 3.01/3.41 maxweight = 19
% 3.01/3.41 maxnrclauses = 10000000
% 3.01/3.41 Generated: 46893
% 3.01/3.41 Kept: 329
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 The strategy used was not complete!
% 3.01/3.41
% 3.01/3.41 Increased maxweight to 20
% 3.01/3.41
% 3.01/3.41 Starting Search:
% 3.01/3.41
% 3.01/3.41 Resimplifying inuse:
% 3.01/3.41 Done
% 3.01/3.41
% 3.01/3.41 Resimplifying inuse:
% 3.01/3.41 Done
% 3.01/3.41
% 3.01/3.41 Failed to find proof!
% 3.01/3.41 maxweight = 20
% 3.01/3.41 maxnrclauses = 10000000
% 3.01/3.41 Generated: 46893
% 3.01/3.41 Kept: 329
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 The strategy used was not complete!
% 3.01/3.41
% 3.01/3.41 Increased maxweight to 21
% 3.01/3.41
% 3.01/3.41 Starting Search:
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 Bliksems!, er is een bewijs:
% 3.01/3.41 % SZS status Unsatisfiable
% 3.01/3.41 % SZS output start Refutation
% 3.01/3.41
% 3.01/3.41 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 3.01/3.41 Z ) ) ) ] )
% 3.01/3.41 .
% 3.01/3.41 clause( 1, [ =( apply( m, X ), apply( X, X ) ) ] )
% 3.01/3.41 .
% 3.01/3.41 clause( 2, [ =( apply( apply( o, X ), Y ), apply( Y, apply( X, Y ) ) ) ] )
% 3.01/3.41 .
% 3.01/3.41 clause( 3, [ ~( =( apply( f( X ), apply( X, f( X ) ) ), apply( X, f( X ) )
% 3.01/3.41 ) ) ] )
% 3.01/3.41 .
% 3.01/3.41 clause( 39, [ =( apply( X, apply( Y, apply( apply( b, X ), Y ) ) ), apply(
% 3.01/3.41 m, apply( apply( b, X ), Y ) ) ) ] )
% 3.01/3.41 .
% 3.01/3.41 clause( 390, [ =( apply( Y, apply( apply( X, apply( apply( b, o ), X ) ), Y
% 3.01/3.41 ) ), apply( apply( m, apply( apply( b, o ), X ) ), Y ) ) ] )
% 3.01/3.41 .
% 3.01/3.41 clause( 709, [] )
% 3.01/3.41 .
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 % SZS output end Refutation
% 3.01/3.41 found a proof!
% 3.01/3.41
% 3.01/3.41 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.01/3.41
% 3.01/3.41 initialclauses(
% 3.01/3.41 [ clause( 711, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 3.01/3.41 Y, Z ) ) ) ] )
% 3.01/3.41 , clause( 712, [ =( apply( m, X ), apply( X, X ) ) ] )
% 3.01/3.41 , clause( 713, [ =( apply( apply( o, X ), Y ), apply( Y, apply( X, Y ) ) )
% 3.01/3.41 ] )
% 3.01/3.41 , clause( 714, [ ~( =( apply( X, f( X ) ), apply( f( X ), apply( X, f( X )
% 3.01/3.41 ) ) ) ) ] )
% 3.01/3.41 ] ).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 subsumption(
% 3.01/3.41 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 3.01/3.41 Z ) ) ) ] )
% 3.01/3.41 , clause( 711, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 3.01/3.41 Y, Z ) ) ) ] )
% 3.01/3.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.01/3.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 subsumption(
% 3.01/3.41 clause( 1, [ =( apply( m, X ), apply( X, X ) ) ] )
% 3.01/3.41 , clause( 712, [ =( apply( m, X ), apply( X, X ) ) ] )
% 3.01/3.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 subsumption(
% 3.01/3.41 clause( 2, [ =( apply( apply( o, X ), Y ), apply( Y, apply( X, Y ) ) ) ] )
% 3.01/3.41 , clause( 713, [ =( apply( apply( o, X ), Y ), apply( Y, apply( X, Y ) ) )
% 3.01/3.41 ] )
% 3.01/3.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.01/3.41 )] ) ).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 eqswap(
% 3.01/3.41 clause( 724, [ ~( =( apply( f( X ), apply( X, f( X ) ) ), apply( X, f( X )
% 3.01/3.41 ) ) ) ] )
% 3.01/3.41 , clause( 714, [ ~( =( apply( X, f( X ) ), apply( f( X ), apply( X, f( X )
% 3.01/3.41 ) ) ) ) ] )
% 3.01/3.41 , 0, substitution( 0, [ :=( X, X )] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 subsumption(
% 3.01/3.41 clause( 3, [ ~( =( apply( f( X ), apply( X, f( X ) ) ), apply( X, f( X ) )
% 3.01/3.41 ) ) ] )
% 3.01/3.41 , clause( 724, [ ~( =( apply( f( X ), apply( X, f( X ) ) ), apply( X, f( X
% 3.01/3.41 ) ) ) ) ] )
% 3.01/3.41 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 eqswap(
% 3.01/3.41 clause( 725, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 3.01/3.41 ), Z ) ) ] )
% 3.01/3.41 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 3.01/3.41 , Z ) ) ) ] )
% 3.01/3.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 eqswap(
% 3.01/3.41 clause( 726, [ =( apply( X, X ), apply( m, X ) ) ] )
% 3.01/3.41 , clause( 1, [ =( apply( m, X ), apply( X, X ) ) ] )
% 3.01/3.41 , 0, substitution( 0, [ :=( X, X )] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 paramod(
% 3.01/3.41 clause( 729, [ =( apply( X, apply( Y, apply( apply( b, X ), Y ) ) ), apply(
% 3.01/3.41 m, apply( apply( b, X ), Y ) ) ) ] )
% 3.01/3.41 , clause( 726, [ =( apply( X, X ), apply( m, X ) ) ] )
% 3.01/3.41 , 0, clause( 725, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 3.01/3.41 ), Y ), Z ) ) ] )
% 3.01/3.41 , 0, 10, substitution( 0, [ :=( X, apply( apply( b, X ), Y ) )] ),
% 3.01/3.41 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, apply( apply( b, X ), Y
% 3.01/3.41 ) )] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 subsumption(
% 3.01/3.41 clause( 39, [ =( apply( X, apply( Y, apply( apply( b, X ), Y ) ) ), apply(
% 3.01/3.41 m, apply( apply( b, X ), Y ) ) ) ] )
% 3.01/3.41 , clause( 729, [ =( apply( X, apply( Y, apply( apply( b, X ), Y ) ) ),
% 3.01/3.41 apply( m, apply( apply( b, X ), Y ) ) ) ] )
% 3.01/3.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.01/3.41 )] ) ).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 eqswap(
% 3.01/3.41 clause( 738, [ =( apply( Y, apply( X, Y ) ), apply( apply( o, X ), Y ) ) ]
% 3.01/3.41 )
% 3.01/3.41 , clause( 2, [ =( apply( apply( o, X ), Y ), apply( Y, apply( X, Y ) ) ) ]
% 3.01/3.41 )
% 3.01/3.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 paramod(
% 3.01/3.41 clause( 771, [ =( apply( X, apply( apply( Y, apply( apply( b, o ), Y ) ), X
% 3.01/3.41 ) ), apply( apply( m, apply( apply( b, o ), Y ) ), X ) ) ] )
% 3.01/3.41 , clause( 39, [ =( apply( X, apply( Y, apply( apply( b, X ), Y ) ) ), apply(
% 3.01/3.41 m, apply( apply( b, X ), Y ) ) ) ] )
% 3.01/3.41 , 0, clause( 738, [ =( apply( Y, apply( X, Y ) ), apply( apply( o, X ), Y )
% 3.01/3.41 ) ] )
% 3.01/3.41 , 0, 13, substitution( 0, [ :=( X, o ), :=( Y, Y )] ), substitution( 1, [
% 3.01/3.41 :=( X, apply( Y, apply( apply( b, o ), Y ) ) ), :=( Y, X )] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 subsumption(
% 3.01/3.41 clause( 390, [ =( apply( Y, apply( apply( X, apply( apply( b, o ), X ) ), Y
% 3.01/3.41 ) ), apply( apply( m, apply( apply( b, o ), X ) ), Y ) ) ] )
% 3.01/3.41 , clause( 771, [ =( apply( X, apply( apply( Y, apply( apply( b, o ), Y ) )
% 3.01/3.41 , X ) ), apply( apply( m, apply( apply( b, o ), Y ) ), X ) ) ] )
% 3.01/3.41 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 3.01/3.41 )] ) ).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 eqswap(
% 3.01/3.41 clause( 775, [ =( apply( apply( m, apply( apply( b, o ), Y ) ), X ), apply(
% 3.01/3.41 X, apply( apply( Y, apply( apply( b, o ), Y ) ), X ) ) ) ] )
% 3.01/3.41 , clause( 390, [ =( apply( Y, apply( apply( X, apply( apply( b, o ), X ) )
% 3.01/3.41 , Y ) ), apply( apply( m, apply( apply( b, o ), X ) ), Y ) ) ] )
% 3.01/3.41 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 eqswap(
% 3.01/3.41 clause( 776, [ ~( =( apply( X, f( X ) ), apply( f( X ), apply( X, f( X ) )
% 3.01/3.41 ) ) ) ] )
% 3.01/3.41 , clause( 3, [ ~( =( apply( f( X ), apply( X, f( X ) ) ), apply( X, f( X )
% 3.01/3.41 ) ) ) ] )
% 3.01/3.41 , 0, substitution( 0, [ :=( X, X )] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 resolution(
% 3.01/3.41 clause( 777, [] )
% 3.01/3.41 , clause( 776, [ ~( =( apply( X, f( X ) ), apply( f( X ), apply( X, f( X )
% 3.01/3.41 ) ) ) ) ] )
% 3.01/3.41 , 0, clause( 775, [ =( apply( apply( m, apply( apply( b, o ), Y ) ), X ),
% 3.01/3.41 apply( X, apply( apply( Y, apply( apply( b, o ), Y ) ), X ) ) ) ] )
% 3.01/3.41 , 0, substitution( 0, [ :=( X, apply( m, apply( apply( b, o ), m ) ) )] ),
% 3.01/3.41 substitution( 1, [ :=( X, f( apply( m, apply( apply( b, o ), m ) ) ) ),
% 3.01/3.41 :=( Y, m )] )).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 subsumption(
% 3.01/3.41 clause( 709, [] )
% 3.01/3.41 , clause( 777, [] )
% 3.01/3.41 , substitution( 0, [] ), permutation( 0, [] ) ).
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 end.
% 3.01/3.41
% 3.01/3.41 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.01/3.41
% 3.01/3.41 Memory use:
% 3.01/3.41
% 3.01/3.41 space for terms: 13832
% 3.01/3.41 space for clauses: 103259
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 clauses generated: 192145
% 3.01/3.41 clauses kept: 710
% 3.01/3.41 clauses selected: 416
% 3.01/3.41 clauses deleted: 201
% 3.01/3.41 clauses inuse deleted: 0
% 3.01/3.41
% 3.01/3.41 subsentry: 5032
% 3.01/3.41 literals s-matched: 4470
% 3.01/3.41 literals matched: 4470
% 3.01/3.41 full subsumption: 0
% 3.01/3.41
% 3.01/3.41 checksum: -379815031
% 3.01/3.41
% 3.01/3.41
% 3.01/3.41 Bliksem ended
%------------------------------------------------------------------------------