TSTP Solution File: COL063-3 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL063-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 00:12:32 EDT 2022
% Result : Unsatisfiable 0.75s 1.24s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.26 % Problem : COL063-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.07/0.26 % Command : bliksem %s
% 0.13/0.48 % Computer : n017.cluster.edu
% 0.13/0.48 % Model : x86_64 x86_64
% 0.13/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.48 % Memory : 8042.1875MB
% 0.13/0.48 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.48 % CPULimit : 300
% 0.13/0.48 % DateTime : Tue May 31 14:18:27 EDT 2022
% 0.13/0.49 % CPUTime :
% 0.75/1.24 *** allocated 10000 integers for termspace/termends
% 0.75/1.24 *** allocated 10000 integers for clauses
% 0.75/1.24 *** allocated 10000 integers for justifications
% 0.75/1.24 Bliksem 1.12
% 0.75/1.24
% 0.75/1.24
% 0.75/1.24 Automatic Strategy Selection
% 0.75/1.24
% 0.75/1.24 Clauses:
% 0.75/1.24 [
% 0.75/1.24 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 0.75/1.24 ],
% 0.75/1.24 [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ],
% 0.75/1.24 [ ~( =( apply( apply( apply( apply( apply( b, apply( apply( b, apply( t
% 0.75/1.24 , t ) ), b ) ), apply( apply( b, b ), t ) ), x ), y ), z ), apply( apply(
% 0.75/1.24 z, y ), x ) ) ) ]
% 0.75/1.24 ] .
% 0.75/1.24
% 0.75/1.24
% 0.75/1.24 percentage equality = 1.000000, percentage horn = 1.000000
% 0.75/1.24 This is a pure equality problem
% 0.75/1.24
% 0.75/1.24
% 0.75/1.24
% 0.75/1.24 Options Used:
% 0.75/1.24
% 0.75/1.24 useres = 1
% 0.75/1.24 useparamod = 1
% 0.75/1.24 useeqrefl = 1
% 0.75/1.24 useeqfact = 1
% 0.75/1.24 usefactor = 1
% 0.75/1.24 usesimpsplitting = 0
% 0.75/1.24 usesimpdemod = 5
% 0.75/1.24 usesimpres = 3
% 0.75/1.24
% 0.75/1.24 resimpinuse = 1000
% 0.75/1.24 resimpclauses = 20000
% 0.75/1.24 substype = eqrewr
% 0.75/1.24 backwardsubs = 1
% 0.75/1.24 selectoldest = 5
% 0.75/1.24
% 0.75/1.24 litorderings [0] = split
% 0.75/1.24 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.24
% 0.75/1.24 termordering = kbo
% 0.75/1.24
% 0.75/1.24 litapriori = 0
% 0.75/1.24 termapriori = 1
% 0.75/1.24 litaposteriori = 0
% 0.75/1.24 termaposteriori = 0
% 0.75/1.24 demodaposteriori = 0
% 0.75/1.24 ordereqreflfact = 0
% 0.75/1.24
% 0.75/1.24 litselect = negord
% 0.75/1.24
% 0.75/1.24 maxweight = 15
% 0.75/1.24 maxdepth = 30000
% 0.75/1.24 maxlength = 115
% 0.75/1.24 maxnrvars = 195
% 0.75/1.24 excuselevel = 1
% 0.75/1.24 increasemaxweight = 1
% 0.75/1.24
% 0.75/1.24 maxselected = 10000000
% 0.75/1.24 maxnrclauses = 10000000
% 0.75/1.24
% 0.75/1.24 showgenerated = 0
% 0.75/1.24 showkept = 0
% 0.75/1.24 showselected = 0
% 0.75/1.24 showdeleted = 0
% 0.75/1.24 showresimp = 1
% 0.75/1.24 showstatus = 2000
% 0.75/1.24
% 0.75/1.24 prologoutput = 1
% 0.75/1.24 nrgoals = 5000000
% 0.75/1.24 totalproof = 1
% 0.75/1.24
% 0.75/1.24 Symbols occurring in the translation:
% 0.75/1.24
% 0.75/1.24 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.24 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.75/1.24 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.75/1.24 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.24 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.24 b [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.75/1.24 apply [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.75/1.24 t [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.75/1.24 x [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.75/1.24 y [46, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.75/1.24 z [47, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.75/1.24
% 0.75/1.24
% 0.75/1.24 Starting Search:
% 0.75/1.24
% 0.75/1.24
% 0.75/1.24 Bliksems!, er is een bewijs:
% 0.75/1.24 % SZS status Unsatisfiable
% 0.75/1.24 % SZS output start Refutation
% 0.75/1.24
% 0.75/1.24 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.75/1.24 Z ) ) ) ] )
% 0.75/1.24 .
% 0.75/1.24 clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.75/1.24 .
% 0.75/1.24 clause( 2, [] )
% 0.75/1.24 .
% 0.75/1.24
% 0.75/1.24
% 0.75/1.24 % SZS output end Refutation
% 0.75/1.24 found a proof!
% 0.75/1.24
% 0.75/1.24 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.24
% 0.75/1.24 initialclauses(
% 0.75/1.24 [ clause( 4, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.75/1.24 , Z ) ) ) ] )
% 0.75/1.24 , clause( 5, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.75/1.24 , clause( 6, [ ~( =( apply( apply( apply( apply( apply( b, apply( apply( b
% 0.75/1.24 , apply( t, t ) ), b ) ), apply( apply( b, b ), t ) ), x ), y ), z ),
% 0.75/1.24 apply( apply( z, y ), x ) ) ) ] )
% 0.75/1.24 ] ).
% 0.75/1.24
% 0.75/1.24
% 0.75/1.24
% 0.75/1.24 subsumption(
% 0.75/1.24 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.75/1.24 Z ) ) ) ] )
% 0.75/1.24 , clause( 4, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.75/1.24 , Z ) ) ) ] )
% 0.75/1.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.24 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.24
% 0.75/1.24
% 0.75/1.24 subsumption(
% 0.75/1.24 clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.75/1.24 , clause( 5, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.75/1.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.24 )] ) ).
% 0.75/1.24
% 0.75/1.24
% 0.75/1.24 paramod(
% 0.75/1.24 clause( 39, [ ~( =( apply( apply( apply( apply( apply( b, apply( t, t ) ),
% 0.75/1.24 b ), apply( apply( apply( b, b ), t ), x ) ), y ), z ), apply( apply( z,
% 0.75/1.24 y ), x ) ) ) ] )
% 0.75/1.24 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.75/1.24 , Z ) ) ) ] )
% 0.75/1.24 , 0, clause( 6, [ ~( =( apply( apply( apply( apply( apply( b, apply( apply(
% 0.75/1.24 b, apply( t, t ) ), b ) ), apply( apply( b, b ), t ) ), x ), y ), z ),
% 0.75/1.24 apply( apply( z, y ), x ) ) ) ] )
% 0.75/1.24 , 0, 4, substitution( 0, [ :=( X, apply( apply( b, apply( t, t ) ), b ) ),
% 0.75/1.24 :=( Y, apply( apply( b, b ), t ) ), :=( Z, x )] ), substitution( 1, [] )
% 0.75/1.24 ).
% 0.75/1.24
% 0.75/1.24
% 0.75/1.24 paramod(
% 0.75/1.24 clause( 43, [ ~( =( apply( apply( apply( apply( t, t ), apply( b, apply(
% 0.75/1.24 apply( apply( b, b ), t ), x ) ) ), y ), z ), apply( apply( z, y ), x ) )
% 0.75/1.24 ) ] )
% 0.75/1.24 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.75/1.24 , Z ) ) ) ] )
% 0.75/1.24 , 0, clause( 39, [ ~( =( apply( apply( apply( apply( apply( b, apply( t, t
% 0.75/1.24 ) ), b ), apply( apply( apply( b, b ), t ), x ) ), y ), z ), apply(
% 0.75/1.24 apply( z, y ), x ) ) ) ] )
% 0.75/1.24 , 0, 4, substitution( 0, [ :=( X, apply( t, t ) ), :=( Y, b ), :=( Z, apply(
% 0.75/1.24 apply( apply( b, b ), t ), x ) )] ), substitution( 1, [] )).
% 0.75/1.24
% 0.75/1.24
% 0.75/1.24 paramod(
% 0.75/1.24 clause( 50, [ ~( =( apply( apply( apply( apply( b, apply( apply( apply( b,
% 0.75/1.24 b ), t ), x ) ), t ), y ), z ), apply( apply( z, y ), x ) ) ) ] )
% 0.75/1.24 , clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.75/1.24 , 0, clause( 43, [ ~( =( apply( apply( apply( apply( t, t ), apply( b,
% 0.75/1.24 apply( apply( apply( b, b ), t ), x ) ) ), y ), z ), apply( apply( z, y )
% 0.75/1.24 , x ) ) ) ] )
% 0.75/1.24 , 0, 4, substitution( 0, [ :=( X, t ), :=( Y, apply( b, apply( apply( apply(
% 0.75/1.24 b, b ), t ), x ) ) )] ), substitution( 1, [] )).
% 0.75/1.24
% 0.75/1.24
% 0.75/1.24 paramod(
% 0.75/1.24 clause( 52, [ ~( =( apply( apply( apply( apply( b, apply( b, apply( t, x )
% 0.75/1.24 ) ), t ), y ), z ), apply( apply( z, y ), x ) ) ) ] )
% 0.75/1.24 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.75/1.24 , Z ) ) ) ] )
% 0.75/1.24 , 0, clause( 50, [ ~( =( apply( apply( apply( apply( b, apply( apply( apply(
% 0.75/1.24 b, b ), t ), x ) ), t ), y ), z ), apply( apply( z, y ), x ) ) ) ] )
% 0.75/1.24 , 0, 7, substitution( 0, [ :=( X, b ), :=( Y, t ), :=( Z, x )] ),
% 0.75/1.24 substitution( 1, [] )).
% 0.75/1.24
% 0.75/1.24
% 0.75/1.24 paramod(
% 0.75/1.24 clause( 55, [ ~( =( apply( apply( apply( b, apply( t, x ) ), apply( t, y )
% 0.75/1.24 ), z ), apply( apply( z, y ), x ) ) ) ] )
% 0.75/1.24 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.75/1.24 , Z ) ) ) ] )
% 0.75/1.24 , 0, clause( 52, [ ~( =( apply( apply( apply( apply( b, apply( b, apply( t
% 0.75/1.24 , x ) ) ), t ), y ), z ), apply( apply( z, y ), x ) ) ) ] )
% 0.75/1.24 , 0, 3, substitution( 0, [ :=( X, apply( b, apply( t, x ) ) ), :=( Y, t ),
% 0.75/1.24 :=( Z, y )] ), substitution( 1, [] )).
% 0.75/1.24
% 0.75/1.24
% 0.75/1.24 paramod(
% 0.75/1.24 clause( 57, [ ~( =( apply( apply( t, x ), apply( apply( t, y ), z ) ),
% 0.75/1.24 apply( apply( z, y ), x ) ) ) ] )
% 0.75/1.24 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.75/1.24 , Z ) ) ) ] )
% 0.75/1.24 , 0, clause( 55, [ ~( =( apply( apply( apply( b, apply( t, x ) ), apply( t
% 0.75/1.24 , y ) ), z ), apply( apply( z, y ), x ) ) ) ] )
% 0.75/1.24 , 0, 2, substitution( 0, [ :=( X, apply( t, x ) ), :=( Y, apply( t, y ) ),
% 0.75/1.24 :=( Z, z )] ), substitution( 1, [] )).
% 0.75/1.24
% 0.75/1.24
% 0.75/1.24 paramod(
% 0.75/1.24 clause( 59, [ ~( =( apply( apply( t, x ), apply( z, y ) ), apply( apply( z
% 0.75/1.24 , y ), x ) ) ) ] )
% 0.75/1.24 , clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.75/1.24 , 0, clause( 57, [ ~( =( apply( apply( t, x ), apply( apply( t, y ), z ) )
% 0.75/1.24 , apply( apply( z, y ), x ) ) ) ] )
% 0.75/1.24 , 0, 6, substitution( 0, [ :=( X, y ), :=( Y, z )] ), substitution( 1, [] )
% 0.75/1.24 ).
% 0.75/1.24
% 0.75/1.24
% 0.75/1.24 paramod(
% 0.75/1.24 clause( 61, [ ~( =( apply( apply( z, y ), x ), apply( apply( z, y ), x ) )
% 0.75/1.24 ) ] )
% 0.75/1.24 , clause( 1, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.75/1.24 , 0, clause( 59, [ ~( =( apply( apply( t, x ), apply( z, y ) ), apply(
% 0.75/1.24 apply( z, y ), x ) ) ) ] )
% 0.75/1.24 , 0, 2, substitution( 0, [ :=( X, x ), :=( Y, apply( z, y ) )] ),
% 0.75/1.24 substitution( 1, [] )).
% 0.75/1.24
% 0.75/1.24
% 0.75/1.24 eqrefl(
% 0.75/1.24 clause( 62, [] )
% 0.75/1.24 , clause( 61, [ ~( =( apply( apply( z, y ), x ), apply( apply( z, y ), x )
% 0.75/1.24 ) ) ] )
% 0.75/1.24 , 0, substitution( 0, [] )).
% 0.75/1.24
% 0.75/1.24
% 0.75/1.24 subsumption(
% 0.75/1.24 clause( 2, [] )
% 0.75/1.24 , clause( 62, [] )
% 0.75/1.24 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.75/1.24
% 0.75/1.24
% 0.75/1.24 end.
% 0.75/1.24
% 0.75/1.24 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.24
% 0.75/1.24 Memory use:
% 0.75/1.24
% 0.75/1.24 space for terms: 141
% 0.75/1.24 space for clauses: 316
% 0.75/1.24
% 0.75/1.24
% 0.75/1.24 clauses generated: 3
% 0.75/1.24 clauses kept: 3
% 0.75/1.24 clauses selected: 0
% 0.75/1.24 clauses deleted: 0
% 0.75/1.24 clauses inuse deleted: 0
% 0.75/1.24
% 0.75/1.24 subsentry: 128
% 0.75/1.24 literals s-matched: 40
% 0.75/1.24 literals matched: 40
% 0.75/1.24 full subsumption: 0
% 0.75/1.24
% 0.75/1.24 checksum: -1996488373
% 0.75/1.24
% 0.75/1.24
% 0.75/1.24 Bliksem ended
%------------------------------------------------------------------------------