TSTP Solution File: COL013-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL013-1 : 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 00:12:23 EDT 2022
% Result : Unsatisfiable 0.74s 1.11s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : COL013-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Tue May 31 14:18:29 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.74/1.11 *** allocated 10000 integers for termspace/termends
% 0.74/1.11 *** allocated 10000 integers for clauses
% 0.74/1.11 *** allocated 10000 integers for justifications
% 0.74/1.11 Bliksem 1.12
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 Automatic Strategy Selection
% 0.74/1.11
% 0.74/1.11 Clauses:
% 0.74/1.11 [
% 0.74/1.11 [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z ), apply(
% 0.74/1.11 Y, Z ) ) ) ],
% 0.74/1.11 [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ],
% 0.74/1.11 [ ~( =( X, apply( combinator, X ) ) ) ]
% 0.74/1.11 ] .
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 percentage equality = 1.000000, percentage horn = 1.000000
% 0.74/1.11 This is a pure equality problem
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 Options Used:
% 0.74/1.11
% 0.74/1.11 useres = 1
% 0.74/1.11 useparamod = 1
% 0.74/1.11 useeqrefl = 1
% 0.74/1.11 useeqfact = 1
% 0.74/1.11 usefactor = 1
% 0.74/1.11 usesimpsplitting = 0
% 0.74/1.11 usesimpdemod = 5
% 0.74/1.11 usesimpres = 3
% 0.74/1.11
% 0.74/1.11 resimpinuse = 1000
% 0.74/1.11 resimpclauses = 20000
% 0.74/1.11 substype = eqrewr
% 0.74/1.11 backwardsubs = 1
% 0.74/1.11 selectoldest = 5
% 0.74/1.11
% 0.74/1.11 litorderings [0] = split
% 0.74/1.11 litorderings [1] = extend the termordering, first sorting on arguments
% 0.74/1.11
% 0.74/1.11 termordering = kbo
% 0.74/1.11
% 0.74/1.11 litapriori = 0
% 0.74/1.11 termapriori = 1
% 0.74/1.11 litaposteriori = 0
% 0.74/1.11 termaposteriori = 0
% 0.74/1.11 demodaposteriori = 0
% 0.74/1.11 ordereqreflfact = 0
% 0.74/1.11
% 0.74/1.11 litselect = negord
% 0.74/1.11
% 0.74/1.11 maxweight = 15
% 0.74/1.11 maxdepth = 30000
% 0.74/1.11 maxlength = 115
% 0.74/1.11 maxnrvars = 195
% 0.74/1.11 excuselevel = 1
% 0.74/1.11 increasemaxweight = 1
% 0.74/1.11
% 0.74/1.11 maxselected = 10000000
% 0.74/1.11 maxnrclauses = 10000000
% 0.74/1.11
% 0.74/1.11 showgenerated = 0
% 0.74/1.11 showkept = 0
% 0.74/1.11 showselected = 0
% 0.74/1.11 showdeleted = 0
% 0.74/1.11 showresimp = 1
% 0.74/1.11 showstatus = 2000
% 0.74/1.11
% 0.74/1.11 prologoutput = 1
% 0.74/1.11 nrgoals = 5000000
% 0.74/1.11 totalproof = 1
% 0.74/1.11
% 0.74/1.11 Symbols occurring in the translation:
% 0.74/1.11
% 0.74/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.11 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.74/1.11 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.74/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.11 s [39, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.74/1.11 apply [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.74/1.11 l [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.74/1.11 combinator [45, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 Starting Search:
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 Bliksems!, er is een bewijs:
% 0.74/1.11 % SZS status Unsatisfiable
% 0.74/1.11 % SZS output start Refutation
% 0.74/1.11
% 0.74/1.11 clause( 1, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ] )
% 0.74/1.11 .
% 0.74/1.11 clause( 2, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.74/1.11 .
% 0.74/1.11 clause( 7, [ ~( =( apply( apply( l, combinator ), X ), apply( X, X ) ) ) ]
% 0.74/1.11 )
% 0.74/1.11 .
% 0.74/1.11 clause( 8, [] )
% 0.74/1.11 .
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 % SZS output end Refutation
% 0.74/1.11 found a proof!
% 0.74/1.11
% 0.74/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.11
% 0.74/1.11 initialclauses(
% 0.74/1.11 [ clause( 10, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X,
% 0.74/1.11 Z ), apply( Y, Z ) ) ) ] )
% 0.74/1.11 , clause( 11, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ]
% 0.74/1.11 )
% 0.74/1.11 , clause( 12, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.74/1.11 ] ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 subsumption(
% 0.74/1.11 clause( 1, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ] )
% 0.74/1.11 , clause( 11, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ]
% 0.74/1.11 )
% 0.74/1.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.11 )] ) ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 eqswap(
% 0.74/1.11 clause( 17, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.74/1.11 , clause( 12, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.74/1.11 , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 subsumption(
% 0.74/1.11 clause( 2, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.74/1.11 , clause( 17, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.74/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 eqswap(
% 0.74/1.11 clause( 18, [ =( apply( X, apply( Y, Y ) ), apply( apply( l, X ), Y ) ) ]
% 0.74/1.11 )
% 0.74/1.11 , clause( 1, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ]
% 0.74/1.11 )
% 0.74/1.11 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 eqswap(
% 0.74/1.11 clause( 19, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.74/1.11 , clause( 2, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.74/1.11 , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 paramod(
% 0.74/1.11 clause( 20, [ ~( =( apply( X, X ), apply( apply( l, combinator ), X ) ) ) ]
% 0.74/1.11 )
% 0.74/1.11 , clause( 18, [ =( apply( X, apply( Y, Y ) ), apply( apply( l, X ), Y ) ) ]
% 0.74/1.11 )
% 0.74/1.11 , 0, clause( 19, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.74/1.11 , 0, 5, substitution( 0, [ :=( X, combinator ), :=( Y, X )] ),
% 0.74/1.11 substitution( 1, [ :=( X, apply( X, X ) )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 eqswap(
% 0.74/1.11 clause( 21, [ ~( =( apply( apply( l, combinator ), X ), apply( X, X ) ) ) ]
% 0.74/1.11 )
% 0.74/1.11 , clause( 20, [ ~( =( apply( X, X ), apply( apply( l, combinator ), X ) ) )
% 0.74/1.11 ] )
% 0.74/1.11 , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 subsumption(
% 0.74/1.11 clause( 7, [ ~( =( apply( apply( l, combinator ), X ), apply( X, X ) ) ) ]
% 0.74/1.11 )
% 0.74/1.11 , clause( 21, [ ~( =( apply( apply( l, combinator ), X ), apply( X, X ) ) )
% 0.74/1.11 ] )
% 0.74/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 eqswap(
% 0.74/1.11 clause( 22, [ ~( =( apply( X, X ), apply( apply( l, combinator ), X ) ) ) ]
% 0.74/1.11 )
% 0.74/1.11 , clause( 7, [ ~( =( apply( apply( l, combinator ), X ), apply( X, X ) ) )
% 0.74/1.11 ] )
% 0.74/1.11 , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 eqrefl(
% 0.74/1.11 clause( 23, [] )
% 0.74/1.11 , clause( 22, [ ~( =( apply( X, X ), apply( apply( l, combinator ), X ) ) )
% 0.74/1.11 ] )
% 0.74/1.11 , 0, substitution( 0, [ :=( X, apply( l, combinator ) )] )).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 subsumption(
% 0.74/1.11 clause( 8, [] )
% 0.74/1.11 , clause( 23, [] )
% 0.74/1.11 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 end.
% 0.74/1.11
% 0.74/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.11
% 0.74/1.11 Memory use:
% 0.74/1.11
% 0.74/1.11 space for terms: 193
% 0.74/1.11 space for clauses: 1158
% 0.74/1.11
% 0.74/1.11
% 0.74/1.11 clauses generated: 19
% 0.74/1.11 clauses kept: 9
% 0.74/1.11 clauses selected: 2
% 0.74/1.11 clauses deleted: 0
% 0.74/1.12 clauses inuse deleted: 0
% 0.74/1.12
% 0.74/1.12 subsentry: 43
% 0.74/1.12 literals s-matched: 20
% 0.74/1.12 literals matched: 20
% 0.74/1.12 full subsumption: 0
% 0.74/1.12
% 0.74/1.12 checksum: -2142499256
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 Bliksem ended
%------------------------------------------------------------------------------