TSTP Solution File: COL019-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL019-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 00:12:24 EDT 2022
% Result : Unsatisfiable 0.51s 1.14s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.16 % Problem : COL019-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.17 % Command : bliksem %s
% 0.14/0.39 % Computer : n021.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8042.1875MB
% 0.14/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % DateTime : Tue May 31 14:37:59 EDT 2022
% 0.14/0.39 % CPUTime :
% 0.51/1.14 *** allocated 10000 integers for termspace/termends
% 0.51/1.14 *** allocated 10000 integers for clauses
% 0.51/1.14 *** allocated 10000 integers for justifications
% 0.51/1.14 Bliksem 1.12
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 Automatic Strategy Selection
% 0.51/1.14
% 0.51/1.14 Clauses:
% 0.51/1.14 [
% 0.51/1.14 [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z ), apply(
% 0.51/1.14 Y, Z ) ) ) ],
% 0.51/1.14 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 0.51/1.14 ],
% 0.51/1.14 [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ],
% 0.51/1.14 [ ~( =( X, apply( combinator, X ) ) ) ]
% 0.51/1.14 ] .
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 percentage equality = 1.000000, percentage horn = 1.000000
% 0.51/1.14 This is a pure equality problem
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 Options Used:
% 0.51/1.14
% 0.51/1.14 useres = 1
% 0.51/1.14 useparamod = 1
% 0.51/1.14 useeqrefl = 1
% 0.51/1.14 useeqfact = 1
% 0.51/1.14 usefactor = 1
% 0.51/1.14 usesimpsplitting = 0
% 0.51/1.14 usesimpdemod = 5
% 0.51/1.14 usesimpres = 3
% 0.51/1.14
% 0.51/1.14 resimpinuse = 1000
% 0.51/1.14 resimpclauses = 20000
% 0.51/1.14 substype = eqrewr
% 0.51/1.14 backwardsubs = 1
% 0.51/1.14 selectoldest = 5
% 0.51/1.14
% 0.51/1.14 litorderings [0] = split
% 0.51/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.51/1.14
% 0.51/1.14 termordering = kbo
% 0.51/1.14
% 0.51/1.14 litapriori = 0
% 0.51/1.14 termapriori = 1
% 0.51/1.14 litaposteriori = 0
% 0.51/1.14 termaposteriori = 0
% 0.51/1.14 demodaposteriori = 0
% 0.51/1.14 ordereqreflfact = 0
% 0.51/1.14
% 0.51/1.14 litselect = negord
% 0.51/1.14
% 0.51/1.14 maxweight = 15
% 0.51/1.14 maxdepth = 30000
% 0.51/1.14 maxlength = 115
% 0.51/1.14 maxnrvars = 195
% 0.51/1.14 excuselevel = 1
% 0.51/1.14 increasemaxweight = 1
% 0.51/1.14
% 0.51/1.14 maxselected = 10000000
% 0.51/1.14 maxnrclauses = 10000000
% 0.51/1.14
% 0.51/1.14 showgenerated = 0
% 0.51/1.14 showkept = 0
% 0.51/1.14 showselected = 0
% 0.51/1.14 showdeleted = 0
% 0.51/1.14 showresimp = 1
% 0.51/1.14 showstatus = 2000
% 0.51/1.14
% 0.51/1.14 prologoutput = 1
% 0.51/1.14 nrgoals = 5000000
% 0.51/1.14 totalproof = 1
% 0.51/1.14
% 0.51/1.14 Symbols occurring in the translation:
% 0.51/1.14
% 0.51/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.51/1.14 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.51/1.14 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.51/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.51/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.51/1.14 s [39, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.51/1.14 apply [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.51/1.14 b [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.51/1.14 t [45, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.51/1.14 combinator [46, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 Starting Search:
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 Bliksems!, er is een bewijs:
% 0.51/1.14 % SZS status Unsatisfiable
% 0.51/1.14 % SZS output start Refutation
% 0.51/1.14
% 0.51/1.14 clause( 0, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z )
% 0.51/1.14 , apply( Y, Z ) ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 1, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.51/1.14 Z ) ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 2, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 3, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 14, [ =( apply( apply( apply( s, t ), Y ), X ), apply( apply( Y, X
% 0.51/1.14 ), X ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 19, [ =( apply( apply( apply( s, t ), apply( b, X ) ), Y ), apply(
% 0.51/1.14 X, apply( Y, Y ) ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 43, [ ~( =( apply( apply( apply( s, t ), apply( b, combinator ) ),
% 0.51/1.14 X ), apply( X, X ) ) ) ] )
% 0.51/1.14 .
% 0.51/1.14 clause( 44, [] )
% 0.51/1.14 .
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 % SZS output end Refutation
% 0.51/1.14 found a proof!
% 0.51/1.14
% 0.51/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.51/1.14
% 0.51/1.14 initialclauses(
% 0.51/1.14 [ clause( 46, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X,
% 0.51/1.14 Z ), apply( Y, Z ) ) ) ] )
% 0.51/1.14 , clause( 47, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 0.51/1.14 Y, Z ) ) ) ] )
% 0.51/1.14 , clause( 48, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.51/1.14 , clause( 49, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.51/1.14 ] ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 0, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z )
% 0.51/1.14 , apply( Y, Z ) ) ) ] )
% 0.51/1.14 , clause( 46, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X,
% 0.51/1.14 Z ), apply( Y, Z ) ) ) ] )
% 0.51/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.51/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 1, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.51/1.14 Z ) ) ) ] )
% 0.51/1.14 , clause( 47, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 0.51/1.14 Y, Z ) ) ) ] )
% 0.51/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.51/1.14 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 2, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.51/1.14 , clause( 48, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.51/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.51/1.14 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 eqswap(
% 0.51/1.14 clause( 59, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.51/1.14 , clause( 49, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.51/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 3, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.51/1.14 , clause( 59, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.51/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 eqswap(
% 0.51/1.14 clause( 60, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply( apply(
% 0.51/1.14 s, X ), Y ), Z ) ) ] )
% 0.51/1.14 , clause( 0, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z
% 0.51/1.14 ), apply( Y, Z ) ) ) ] )
% 0.51/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 eqswap(
% 0.51/1.14 clause( 61, [ =( apply( Y, X ), apply( apply( t, X ), Y ) ) ] )
% 0.51/1.14 , clause( 2, [ =( apply( apply( t, X ), Y ), apply( Y, X ) ) ] )
% 0.51/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 paramod(
% 0.51/1.14 clause( 63, [ =( apply( apply( X, Y ), Y ), apply( apply( apply( s, t ), X
% 0.51/1.14 ), Y ) ) ] )
% 0.51/1.14 , clause( 60, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply(
% 0.51/1.14 apply( s, X ), Y ), Z ) ) ] )
% 0.51/1.14 , 0, clause( 61, [ =( apply( Y, X ), apply( apply( t, X ), Y ) ) ] )
% 0.51/1.14 , 0, 6, substitution( 0, [ :=( X, t ), :=( Y, X ), :=( Z, Y )] ),
% 0.51/1.14 substitution( 1, [ :=( X, Y ), :=( Y, apply( X, Y ) )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 eqswap(
% 0.51/1.14 clause( 65, [ =( apply( apply( apply( s, t ), X ), Y ), apply( apply( X, Y
% 0.51/1.14 ), Y ) ) ] )
% 0.51/1.14 , clause( 63, [ =( apply( apply( X, Y ), Y ), apply( apply( apply( s, t ),
% 0.51/1.14 X ), Y ) ) ] )
% 0.51/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 14, [ =( apply( apply( apply( s, t ), Y ), X ), apply( apply( Y, X
% 0.51/1.14 ), X ) ) ] )
% 0.51/1.14 , clause( 65, [ =( apply( apply( apply( s, t ), X ), Y ), apply( apply( X,
% 0.51/1.14 Y ), Y ) ) ] )
% 0.51/1.14 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.51/1.14 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 eqswap(
% 0.51/1.14 clause( 66, [ =( apply( apply( X, Y ), Y ), apply( apply( apply( s, t ), X
% 0.51/1.14 ), Y ) ) ] )
% 0.51/1.14 , clause( 14, [ =( apply( apply( apply( s, t ), Y ), X ), apply( apply( Y,
% 0.51/1.14 X ), X ) ) ] )
% 0.51/1.14 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 eqswap(
% 0.51/1.14 clause( 67, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 0.51/1.14 ), Z ) ) ] )
% 0.51/1.14 , clause( 1, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.51/1.14 , Z ) ) ) ] )
% 0.51/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 paramod(
% 0.51/1.14 clause( 70, [ =( apply( X, apply( Y, Y ) ), apply( apply( apply( s, t ),
% 0.51/1.14 apply( b, X ) ), Y ) ) ] )
% 0.51/1.14 , clause( 66, [ =( apply( apply( X, Y ), Y ), apply( apply( apply( s, t ),
% 0.51/1.14 X ), Y ) ) ] )
% 0.51/1.14 , 0, clause( 67, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 0.51/1.14 ), Y ), Z ) ) ] )
% 0.51/1.14 , 0, 6, substitution( 0, [ :=( X, apply( b, X ) ), :=( Y, Y )] ),
% 0.51/1.14 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 eqswap(
% 0.51/1.14 clause( 74, [ =( apply( apply( apply( s, t ), apply( b, X ) ), Y ), apply(
% 0.51/1.14 X, apply( Y, Y ) ) ) ] )
% 0.51/1.14 , clause( 70, [ =( apply( X, apply( Y, Y ) ), apply( apply( apply( s, t ),
% 0.51/1.14 apply( b, X ) ), Y ) ) ] )
% 0.51/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 19, [ =( apply( apply( apply( s, t ), apply( b, X ) ), Y ), apply(
% 0.51/1.14 X, apply( Y, Y ) ) ) ] )
% 0.51/1.14 , clause( 74, [ =( apply( apply( apply( s, t ), apply( b, X ) ), Y ), apply(
% 0.51/1.14 X, apply( Y, Y ) ) ) ] )
% 0.51/1.14 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.51/1.14 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 eqswap(
% 0.51/1.14 clause( 76, [ =( apply( X, apply( Y, Y ) ), apply( apply( apply( s, t ),
% 0.51/1.14 apply( b, X ) ), Y ) ) ] )
% 0.51/1.14 , clause( 19, [ =( apply( apply( apply( s, t ), apply( b, X ) ), Y ), apply(
% 0.51/1.14 X, apply( Y, Y ) ) ) ] )
% 0.51/1.14 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 eqswap(
% 0.51/1.14 clause( 77, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.51/1.14 , clause( 3, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.51/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 paramod(
% 0.51/1.14 clause( 78, [ ~( =( apply( X, X ), apply( apply( apply( s, t ), apply( b,
% 0.51/1.14 combinator ) ), X ) ) ) ] )
% 0.51/1.14 , clause( 76, [ =( apply( X, apply( Y, Y ) ), apply( apply( apply( s, t ),
% 0.51/1.14 apply( b, X ) ), Y ) ) ] )
% 0.51/1.14 , 0, clause( 77, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.51/1.14 , 0, 5, substitution( 0, [ :=( X, combinator ), :=( Y, X )] ),
% 0.51/1.14 substitution( 1, [ :=( X, apply( X, X ) )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 eqswap(
% 0.51/1.14 clause( 79, [ ~( =( apply( apply( apply( s, t ), apply( b, combinator ) ),
% 0.51/1.14 X ), apply( X, X ) ) ) ] )
% 0.51/1.14 , clause( 78, [ ~( =( apply( X, X ), apply( apply( apply( s, t ), apply( b
% 0.51/1.14 , combinator ) ), X ) ) ) ] )
% 0.51/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 43, [ ~( =( apply( apply( apply( s, t ), apply( b, combinator ) ),
% 0.51/1.14 X ), apply( X, X ) ) ) ] )
% 0.51/1.14 , clause( 79, [ ~( =( apply( apply( apply( s, t ), apply( b, combinator ) )
% 0.51/1.14 , X ), apply( X, X ) ) ) ] )
% 0.51/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 eqswap(
% 0.51/1.14 clause( 80, [ ~( =( apply( X, X ), apply( apply( apply( s, t ), apply( b,
% 0.51/1.14 combinator ) ), X ) ) ) ] )
% 0.51/1.14 , clause( 43, [ ~( =( apply( apply( apply( s, t ), apply( b, combinator ) )
% 0.51/1.14 , X ), apply( X, X ) ) ) ] )
% 0.51/1.14 , 0, substitution( 0, [ :=( X, X )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 eqrefl(
% 0.51/1.14 clause( 81, [] )
% 0.51/1.14 , clause( 80, [ ~( =( apply( X, X ), apply( apply( apply( s, t ), apply( b
% 0.51/1.14 , combinator ) ), X ) ) ) ] )
% 0.51/1.14 , 0, substitution( 0, [ :=( X, apply( apply( s, t ), apply( b, combinator )
% 0.51/1.14 ) )] )).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 subsumption(
% 0.51/1.14 clause( 44, [] )
% 0.51/1.14 , clause( 81, [] )
% 0.51/1.14 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 end.
% 0.51/1.14
% 0.51/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.51/1.14
% 0.51/1.14 Memory use:
% 0.51/1.14
% 0.51/1.14 space for terms: 787
% 0.51/1.14 space for clauses: 5379
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 clauses generated: 778
% 0.51/1.14 clauses kept: 45
% 0.51/1.14 clauses selected: 20
% 0.51/1.14 clauses deleted: 0
% 0.51/1.14 clauses inuse deleted: 0
% 0.51/1.14
% 0.51/1.14 subsentry: 177
% 0.51/1.14 literals s-matched: 84
% 0.51/1.14 literals matched: 84
% 0.51/1.14 full subsumption: 0
% 0.51/1.14
% 0.51/1.14 checksum: 2125348553
% 0.51/1.14
% 0.51/1.14
% 0.51/1.14 Bliksem ended
%------------------------------------------------------------------------------