%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COL010-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 0.42s 1.15s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : COL010-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Tue May 31 12:08:58 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.42/1.15 *** allocated 10000 integers for termspace/termends
% 0.42/1.15 *** allocated 10000 integers for clauses
% 0.42/1.15 *** allocated 10000 integers for justifications
% 0.42/1.15 Bliksem 1.12
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15 Automatic Strategy Selection
% 0.42/1.15
% 0.42/1.15 Clauses:
% 0.42/1.15 [
% 0.42/1.15 [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 0.42/1.15 ],
% 0.42/1.15 [ =( apply( apply( apply( s2, X ), Y ), Z ), apply( apply( X, Z ), apply(
% 0.42/1.15 Y, Y ) ) ) ],
% 0.42/1.15 [ ~( =( X, apply( combinator, X ) ) ) ]
% 0.42/1.15 ] .
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15 percentage equality = 1.000000, percentage horn = 1.000000
% 0.42/1.15 This is a pure equality problem
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15 Options Used:
% 0.42/1.15
% 0.42/1.15 useres = 1
% 0.42/1.15 useparamod = 1
% 0.42/1.15 useeqrefl = 1
% 0.42/1.15 useeqfact = 1
% 0.42/1.15 usefactor = 1
% 0.42/1.15 usesimpsplitting = 0
% 0.42/1.15 usesimpdemod = 5
% 0.42/1.15 usesimpres = 3
% 0.42/1.15
% 0.42/1.15 resimpinuse = 1000
% 0.42/1.15 resimpclauses = 20000
% 0.42/1.15 substype = eqrewr
% 0.42/1.15 backwardsubs = 1
% 0.42/1.15 selectoldest = 5
% 0.42/1.15
% 0.42/1.15 litorderings [0] = split
% 0.42/1.15 litorderings [1] = extend the termordering, first sorting on arguments
% 0.42/1.15
% 0.42/1.15 termordering = kbo
% 0.42/1.15
% 0.42/1.15 litapriori = 0
% 0.42/1.15 termapriori = 1
% 0.42/1.15 litaposteriori = 0
% 0.42/1.15 termaposteriori = 0
% 0.42/1.15 demodaposteriori = 0
% 0.42/1.15 ordereqreflfact = 0
% 0.42/1.15
% 0.42/1.15 litselect = negord
% 0.42/1.15
% 0.42/1.15 maxweight = 15
% 0.42/1.15 maxdepth = 30000
% 0.42/1.15 maxlength = 115
% 0.42/1.15 maxnrvars = 195
% 0.42/1.15 excuselevel = 1
% 0.42/1.15 increasemaxweight = 1
% 0.42/1.15
% 0.42/1.15 maxselected = 10000000
% 0.42/1.15 maxnrclauses = 10000000
% 0.42/1.15
% 0.42/1.15 showgenerated = 0
% 0.42/1.15 showkept = 0
% 0.42/1.15 showselected = 0
% 0.42/1.15 showdeleted = 0
% 0.42/1.15 showresimp = 1
% 0.42/1.15 showstatus = 2000
% 0.42/1.15
% 0.42/1.15 prologoutput = 1
% 0.42/1.15 nrgoals = 5000000
% 0.42/1.15 totalproof = 1
% 0.42/1.15
% 0.42/1.15 Symbols occurring in the translation:
% 0.42/1.15
% 0.42/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.15 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.42/1.15 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.42/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.15 b [39, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.42/1.15 apply [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.42/1.15 s2 [44, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.42/1.15 combinator [45, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15 Starting Search:
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15 Bliksems!, er is een bewijs:
% 0.42/1.15 % SZS status Unsatisfiable
% 0.42/1.15 % SZS output start Refutation
% 0.42/1.15
% 0.42/1.15 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.42/1.15 Z ) ) ) ] )
% 0.42/1.15 .
% 0.42/1.15 clause( 1, [ =( apply( apply( apply( s2, X ), Y ), Z ), apply( apply( X, Z
% 0.42/1.15 ), apply( Y, Y ) ) ) ] )
% 0.42/1.15 .
% 0.42/1.15 clause( 2, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.42/1.15 .
% 0.42/1.15 clause( 9, [ =( apply( apply( apply( s2, apply( b, X ) ), Z ), Y ), apply(
% 0.42/1.15 X, apply( Y, apply( Z, Z ) ) ) ) ] )
% 0.42/1.15 .
% 0.42/1.15 clause( 13, [ ~( =( apply( apply( apply( s2, apply( b, combinator ) ), Y )
% 0.42/1.15 , X ), apply( X, apply( Y, Y ) ) ) ) ] )
% 0.42/1.15 .
% 0.42/1.15 clause( 14, [] )
% 0.42/1.15 .
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15 % SZS output end Refutation
% 0.42/1.15 found a proof!
% 0.42/1.15
% 0.42/1.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.15
% 0.42/1.15 initialclauses(
% 0.42/1.15 [ clause( 16, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 0.42/1.15 Y, Z ) ) ) ] )
% 0.42/1.15 , clause( 17, [ =( apply( apply( apply( s2, X ), Y ), Z ), apply( apply( X
% 0.42/1.15 , Z ), apply( Y, Y ) ) ) ] )
% 0.42/1.15 , clause( 18, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.42/1.15 ] ).
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15 subsumption(
% 0.42/1.15 clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y,
% 0.42/1.15 Z ) ) ) ] )
% 0.42/1.15 , clause( 16, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply(
% 0.42/1.15 Y, Z ) ) ) ] )
% 0.42/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15 subsumption(
% 0.42/1.15 clause( 1, [ =( apply( apply( apply( s2, X ), Y ), Z ), apply( apply( X, Z
% 0.42/1.15 ), apply( Y, Y ) ) ) ] )
% 0.42/1.15 , clause( 17, [ =( apply( apply( apply( s2, X ), Y ), Z ), apply( apply( X
% 0.42/1.15 , Z ), apply( Y, Y ) ) ) ] )
% 0.42/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15 eqswap(
% 0.42/1.15 clause( 24, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.42/1.15 , clause( 18, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.42/1.15 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15 subsumption(
% 0.42/1.15 clause( 2, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.42/1.15 , clause( 24, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.42/1.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15 eqswap(
% 0.42/1.15 clause( 25, [ =( apply( apply( X, Z ), apply( Y, Y ) ), apply( apply( apply(
% 0.42/1.15 s2, X ), Y ), Z ) ) ] )
% 0.42/1.15 , clause( 1, [ =( apply( apply( apply( s2, X ), Y ), Z ), apply( apply( X,
% 0.42/1.15 Z ), apply( Y, Y ) ) ) ] )
% 0.42/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15 eqswap(
% 0.42/1.15 clause( 26, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 0.42/1.15 ), Z ) ) ] )
% 0.42/1.15 , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.42/1.15 , Z ) ) ) ] )
% 0.42/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15 paramod(
% 0.42/1.15 clause( 29, [ =( apply( X, apply( Y, apply( Z, Z ) ) ), apply( apply( apply(
% 0.42/1.15 s2, apply( b, X ) ), Z ), Y ) ) ] )
% 0.42/1.15 , clause( 25, [ =( apply( apply( X, Z ), apply( Y, Y ) ), apply( apply(
% 0.42/1.15 apply( s2, X ), Y ), Z ) ) ] )
% 0.42/1.15 , 0, clause( 26, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 0.42/1.15 ), Y ), Z ) ) ] )
% 0.42/1.15 , 0, 8, substitution( 0, [ :=( X, apply( b, X ) ), :=( Y, Z ), :=( Z, Y )] )
% 0.42/1.15 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, apply( Z, Z ) )] )
% 0.42/1.15 ).
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15 eqswap(
% 0.42/1.15 clause( 35, [ =( apply( apply( apply( s2, apply( b, X ) ), Z ), Y ), apply(
% 0.42/1.15 X, apply( Y, apply( Z, Z ) ) ) ) ] )
% 0.42/1.15 , clause( 29, [ =( apply( X, apply( Y, apply( Z, Z ) ) ), apply( apply(
% 0.42/1.15 apply( s2, apply( b, X ) ), Z ), Y ) ) ] )
% 0.42/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15 subsumption(
% 0.42/1.15 clause( 9, [ =( apply( apply( apply( s2, apply( b, X ) ), Z ), Y ), apply(
% 0.42/1.15 X, apply( Y, apply( Z, Z ) ) ) ) ] )
% 0.42/1.15 , clause( 35, [ =( apply( apply( apply( s2, apply( b, X ) ), Z ), Y ),
% 0.42/1.15 apply( X, apply( Y, apply( Z, Z ) ) ) ) ] )
% 0.42/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.42/1.15 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15 eqswap(
% 0.42/1.15 clause( 37, [ =( apply( X, apply( Z, apply( Y, Y ) ) ), apply( apply( apply(
% 0.42/1.15 s2, apply( b, X ) ), Y ), Z ) ) ] )
% 0.42/1.15 , clause( 9, [ =( apply( apply( apply( s2, apply( b, X ) ), Z ), Y ), apply(
% 0.42/1.15 X, apply( Y, apply( Z, Z ) ) ) ) ] )
% 0.42/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15 eqswap(
% 0.42/1.15 clause( 38, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.42/1.15 , clause( 2, [ ~( =( apply( combinator, X ), X ) ) ] )
% 0.42/1.15 , 0, substitution( 0, [ :=( X, X )] )).
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15 paramod(
% 0.42/1.15 clause( 39, [ ~( =( apply( X, apply( Y, Y ) ), apply( apply( apply( s2,
% 0.42/1.15 apply( b, combinator ) ), Y ), X ) ) ) ] )
% 0.42/1.15 , clause( 37, [ =( apply( X, apply( Z, apply( Y, Y ) ) ), apply( apply(
% 0.42/1.15 apply( s2, apply( b, X ) ), Y ), Z ) ) ] )
% 0.42/1.15 , 0, clause( 38, [ ~( =( X, apply( combinator, X ) ) ) ] )
% 0.42/1.15 , 0, 7, substitution( 0, [ :=( X, combinator ), :=( Y, Y ), :=( Z, X )] ),
% 0.42/1.15 substitution( 1, [ :=( X, apply( X, apply( Y, Y ) ) )] )).
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15 eqswap(
% 0.42/1.15 clause( 40, [ ~( =( apply( apply( apply( s2, apply( b, combinator ) ), Y )
% 0.42/1.15 , X ), apply( X, apply( Y, Y ) ) ) ) ] )
% 0.42/1.15 , clause( 39, [ ~( =( apply( X, apply( Y, Y ) ), apply( apply( apply( s2,
% 0.42/1.15 apply( b, combinator ) ), Y ), X ) ) ) ] )
% 0.42/1.15 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15 subsumption(
% 0.42/1.15 clause( 13, [ ~( =( apply( apply( apply( s2, apply( b, combinator ) ), Y )
% 0.42/1.15 , X ), apply( X, apply( Y, Y ) ) ) ) ] )
% 0.42/1.15 , clause( 40, [ ~( =( apply( apply( apply( s2, apply( b, combinator ) ), Y
% 0.42/1.15 ), X ), apply( X, apply( Y, Y ) ) ) ) ] )
% 0.42/1.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/1.15 )] ) ).
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15 eqswap(
% 0.42/1.15 clause( 41, [ ~( =( apply( Y, apply( X, X ) ), apply( apply( apply( s2,
% 0.42/1.15 apply( b, combinator ) ), X ), Y ) ) ) ] )
% 0.42/1.15 , clause( 13, [ ~( =( apply( apply( apply( s2, apply( b, combinator ) ), Y
% 0.42/1.15 ), X ), apply( X, apply( Y, Y ) ) ) ) ] )
% 0.42/1.15 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15 eqrefl(
% 0.42/1.15 clause( 42, [] )
% 0.42/1.15 , clause( 41, [ ~( =( apply( Y, apply( X, X ) ), apply( apply( apply( s2,
% 0.42/1.15 apply( b, combinator ) ), X ), Y ) ) ) ] )
% 0.42/1.15 , 0, substitution( 0, [ :=( X, apply( s2, apply( b, combinator ) ) ), :=( Y
% 0.42/1.15 , apply( apply( s2, apply( b, combinator ) ), apply( s2, apply( b,
% 0.42/1.15 combinator ) ) ) )] )).
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15 subsumption(
% 0.42/1.15 clause( 14, [] )
% 0.42/1.15 , clause( 42, [] )
% 0.42/1.15 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15 end.
% 0.42/1.15
% 0.42/1.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.15
% 0.42/1.15 Memory use:
% 0.42/1.15
% 0.42/1.15 space for terms: 351
% 0.42/1.15 space for clauses: 2391
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15 clauses generated: 77
% 0.42/1.15 clauses kept: 15
% 0.42/1.15 clauses selected: 4
% 0.42/1.15 clauses deleted: 0
% 0.42/1.15 clauses inuse deleted: 0
% 0.42/1.15
% 0.42/1.15 subsentry: 125
% 0.42/1.15 literals s-matched: 35
% 0.42/1.15 literals matched: 35
% 0.42/1.15 full subsumption: 0
% 0.42/1.15
% 0.42/1.15 checksum: -1078994589
% 0.42/1.15
% 0.42/1.15
% 0.42/1.15 Bliksem ended
%------------------------------------------------------------------------------