TSTP Solution File: SYN084-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN084-2 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 : Thu Jul 21 02:47:36 EDT 2022
% Result : Unsatisfiable 0.70s 1.07s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN084-2 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue Jul 12 01:06:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.70/1.07 *** allocated 10000 integers for termspace/termends
% 0.70/1.07 *** allocated 10000 integers for clauses
% 0.70/1.07 *** allocated 10000 integers for justifications
% 0.70/1.07 Bliksem 1.12
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 Automatic Strategy Selection
% 0.70/1.07
% 0.70/1.07 Clauses:
% 0.70/1.07 [
% 0.70/1.07 [ 'big_p'( a ) ],
% 0.70/1.07 [ 'big_p'( f( f( X ) ) ), 'big_p'( X ), ~( 'big_p'( a ) ) ],
% 0.70/1.07 [ 'big_p'( f( f( X ) ) ), ~( 'big_p'( f( X ) ) ), ~( 'big_p'( a ) ) ]
% 0.70/1.07 ,
% 0.70/1.07 [ ~( 'big_p'( f( f( sk1 ) ) ) ), ~( 'big_p'( f( f( sk2 ) ) ) ) ],
% 0.70/1.07 [ 'big_p'( f( sk1 ) ), 'big_p'( f( sk2 ) ), ~( 'big_p'( sk1 ) ), ~(
% 0.70/1.07 'big_p'( sk2 ) ) ],
% 0.70/1.07 [ 'big_p'( f( sk1 ) ), ~( 'big_p'( sk1 ) ), ~( 'big_p'( f( f( sk2 ) ) )
% 0.70/1.07 ) ],
% 0.70/1.07 [ 'big_p'( f( sk2 ) ), ~( 'big_p'( sk2 ) ), ~( 'big_p'( f( f( sk1 ) ) )
% 0.70/1.07 ) ]
% 0.70/1.07 ] .
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 percentage equality = 0.000000, percentage horn = 0.714286
% 0.70/1.07 This a non-horn, non-equality problem
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 Options Used:
% 0.70/1.07
% 0.70/1.07 useres = 1
% 0.70/1.07 useparamod = 0
% 0.70/1.07 useeqrefl = 0
% 0.70/1.07 useeqfact = 0
% 0.70/1.07 usefactor = 1
% 0.70/1.07 usesimpsplitting = 0
% 0.70/1.07 usesimpdemod = 0
% 0.70/1.07 usesimpres = 3
% 0.70/1.07
% 0.70/1.07 resimpinuse = 1000
% 0.70/1.07 resimpclauses = 20000
% 0.70/1.07 substype = standard
% 0.70/1.07 backwardsubs = 1
% 0.70/1.07 selectoldest = 5
% 0.70/1.07
% 0.70/1.07 litorderings [0] = split
% 0.70/1.07 litorderings [1] = liftord
% 0.70/1.07
% 0.70/1.07 termordering = none
% 0.70/1.07
% 0.70/1.07 litapriori = 1
% 0.70/1.07 termapriori = 0
% 0.70/1.07 litaposteriori = 0
% 0.70/1.07 termaposteriori = 0
% 0.70/1.07 demodaposteriori = 0
% 0.70/1.07 ordereqreflfact = 0
% 0.70/1.07
% 0.70/1.07 litselect = none
% 0.70/1.07
% 0.70/1.07 maxweight = 15
% 0.70/1.07 maxdepth = 30000
% 0.70/1.07 maxlength = 115
% 0.70/1.07 maxnrvars = 195
% 0.70/1.07 excuselevel = 1
% 0.70/1.07 increasemaxweight = 1
% 0.70/1.07
% 0.70/1.07 maxselected = 10000000
% 0.70/1.07 maxnrclauses = 10000000
% 0.70/1.07
% 0.70/1.07 showgenerated = 0
% 0.70/1.07 showkept = 0
% 0.70/1.07 showselected = 0
% 0.70/1.07 showdeleted = 0
% 0.70/1.07 showresimp = 1
% 0.70/1.07 showstatus = 2000
% 0.70/1.07
% 0.70/1.07 prologoutput = 1
% 0.70/1.07 nrgoals = 5000000
% 0.70/1.07 totalproof = 1
% 0.70/1.07
% 0.70/1.07 Symbols occurring in the translation:
% 0.70/1.07
% 0.70/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.07 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.70/1.07 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.70/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.07 a [39, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.70/1.07 'big_p' [40, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.70/1.07 f [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.70/1.07 sk1 [43, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.70/1.07 sk2 [44, 0] (w:1, o:6, a:1, s:1, b:0).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 Starting Search:
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 Bliksems!, er is een bewijs:
% 0.70/1.07 % SZS status Unsatisfiable
% 0.70/1.07 % SZS output start Refutation
% 0.70/1.07
% 0.70/1.07 clause( 0, [ 'big_p'( a ) ] )
% 0.70/1.07 .
% 0.70/1.07 clause( 1, [ 'big_p'( X ), 'big_p'( f( f( X ) ) ) ] )
% 0.70/1.07 .
% 0.70/1.07 clause( 2, [ ~( 'big_p'( f( X ) ) ), 'big_p'( f( f( X ) ) ) ] )
% 0.70/1.07 .
% 0.70/1.07 clause( 3, [ ~( 'big_p'( f( f( sk1 ) ) ) ), ~( 'big_p'( f( f( sk2 ) ) ) ) ]
% 0.70/1.07 )
% 0.70/1.07 .
% 0.70/1.07 clause( 4, [ 'big_p'( f( sk1 ) ), ~( 'big_p'( sk1 ) ), ~( 'big_p'( sk2 ) )
% 0.70/1.07 , 'big_p'( f( sk2 ) ) ] )
% 0.70/1.07 .
% 0.70/1.07 clause( 5, [ ~( 'big_p'( sk1 ) ), 'big_p'( f( sk1 ) ), ~( 'big_p'( f( f(
% 0.70/1.07 sk2 ) ) ) ) ] )
% 0.70/1.07 .
% 0.70/1.07 clause( 6, [ ~( 'big_p'( sk2 ) ), 'big_p'( f( sk2 ) ), ~( 'big_p'( f( f(
% 0.70/1.07 sk1 ) ) ) ) ] )
% 0.70/1.07 .
% 0.70/1.07 clause( 8, [ ~( 'big_p'( f( sk2 ) ) ), ~( 'big_p'( f( f( sk1 ) ) ) ) ] )
% 0.70/1.07 .
% 0.70/1.07 clause( 9, [ 'big_p'( sk2 ), ~( 'big_p'( f( f( sk1 ) ) ) ) ] )
% 0.70/1.07 .
% 0.70/1.07 clause( 10, [ ~( 'big_p'( sk1 ) ), 'big_p'( f( sk1 ) ), 'big_p'( f( f( sk2
% 0.70/1.07 ) ) ) ] )
% 0.70/1.07 .
% 0.70/1.07 clause( 15, [ ~( 'big_p'( sk1 ) ), 'big_p'( f( sk1 ) ) ] )
% 0.70/1.07 .
% 0.70/1.07 clause( 17, [ 'big_p'( f( f( sk1 ) ) ) ] )
% 0.70/1.07 .
% 0.70/1.07 clause( 19, [] )
% 0.70/1.07 .
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 % SZS output end Refutation
% 0.70/1.07 found a proof!
% 0.70/1.07
% 0.70/1.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.07
% 0.70/1.07 initialclauses(
% 0.70/1.07 [ clause( 21, [ 'big_p'( a ) ] )
% 0.70/1.07 , clause( 22, [ 'big_p'( f( f( X ) ) ), 'big_p'( X ), ~( 'big_p'( a ) ) ]
% 0.70/1.07 )
% 0.70/1.07 , clause( 23, [ 'big_p'( f( f( X ) ) ), ~( 'big_p'( f( X ) ) ), ~( 'big_p'(
% 0.70/1.07 a ) ) ] )
% 0.70/1.07 , clause( 24, [ ~( 'big_p'( f( f( sk1 ) ) ) ), ~( 'big_p'( f( f( sk2 ) ) )
% 0.70/1.07 ) ] )
% 0.70/1.07 , clause( 25, [ 'big_p'( f( sk1 ) ), 'big_p'( f( sk2 ) ), ~( 'big_p'( sk1 )
% 0.70/1.07 ), ~( 'big_p'( sk2 ) ) ] )
% 0.70/1.07 , clause( 26, [ 'big_p'( f( sk1 ) ), ~( 'big_p'( sk1 ) ), ~( 'big_p'( f( f(
% 0.70/1.07 sk2 ) ) ) ) ] )
% 0.70/1.07 , clause( 27, [ 'big_p'( f( sk2 ) ), ~( 'big_p'( sk2 ) ), ~( 'big_p'( f( f(
% 0.70/1.07 sk1 ) ) ) ) ] )
% 0.70/1.07 ] ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 subsumption(
% 0.70/1.07 clause( 0, [ 'big_p'( a ) ] )
% 0.70/1.07 , clause( 21, [ 'big_p'( a ) ] )
% 0.70/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 resolution(
% 0.70/1.07 clause( 28, [ 'big_p'( f( f( X ) ) ), 'big_p'( X ) ] )
% 0.70/1.07 , clause( 22, [ 'big_p'( f( f( X ) ) ), 'big_p'( X ), ~( 'big_p'( a ) ) ]
% 0.70/1.07 )
% 0.70/1.07 , 2, clause( 0, [ 'big_p'( a ) ] )
% 0.70/1.07 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 subsumption(
% 0.70/1.07 clause( 1, [ 'big_p'( X ), 'big_p'( f( f( X ) ) ) ] )
% 0.70/1.07 , clause( 28, [ 'big_p'( f( f( X ) ) ), 'big_p'( X ) ] )
% 0.70/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.70/1.07 0 )] ) ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 resolution(
% 0.70/1.07 clause( 30, [ 'big_p'( f( f( X ) ) ), ~( 'big_p'( f( X ) ) ) ] )
% 0.70/1.07 , clause( 23, [ 'big_p'( f( f( X ) ) ), ~( 'big_p'( f( X ) ) ), ~( 'big_p'(
% 0.70/1.07 a ) ) ] )
% 0.70/1.07 , 2, clause( 0, [ 'big_p'( a ) ] )
% 0.70/1.07 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 subsumption(
% 0.70/1.07 clause( 2, [ ~( 'big_p'( f( X ) ) ), 'big_p'( f( f( X ) ) ) ] )
% 0.70/1.07 , clause( 30, [ 'big_p'( f( f( X ) ) ), ~( 'big_p'( f( X ) ) ) ] )
% 0.70/1.07 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.70/1.07 0 )] ) ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 subsumption(
% 0.70/1.07 clause( 3, [ ~( 'big_p'( f( f( sk1 ) ) ) ), ~( 'big_p'( f( f( sk2 ) ) ) ) ]
% 0.70/1.07 )
% 0.70/1.07 , clause( 24, [ ~( 'big_p'( f( f( sk1 ) ) ) ), ~( 'big_p'( f( f( sk2 ) ) )
% 0.70/1.07 ) ] )
% 0.70/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.70/1.07 ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 subsumption(
% 0.70/1.07 clause( 4, [ 'big_p'( f( sk1 ) ), ~( 'big_p'( sk1 ) ), ~( 'big_p'( sk2 ) )
% 0.70/1.07 , 'big_p'( f( sk2 ) ) ] )
% 0.70/1.07 , clause( 25, [ 'big_p'( f( sk1 ) ), 'big_p'( f( sk2 ) ), ~( 'big_p'( sk1 )
% 0.70/1.07 ), ~( 'big_p'( sk2 ) ) ] )
% 0.70/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2
% 0.70/1.07 , 1 ), ==>( 3, 2 )] ) ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 subsumption(
% 0.70/1.07 clause( 5, [ ~( 'big_p'( sk1 ) ), 'big_p'( f( sk1 ) ), ~( 'big_p'( f( f(
% 0.70/1.07 sk2 ) ) ) ) ] )
% 0.70/1.07 , clause( 26, [ 'big_p'( f( sk1 ) ), ~( 'big_p'( sk1 ) ), ~( 'big_p'( f( f(
% 0.70/1.07 sk2 ) ) ) ) ] )
% 0.70/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.70/1.07 , 2 )] ) ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 subsumption(
% 0.70/1.07 clause( 6, [ ~( 'big_p'( sk2 ) ), 'big_p'( f( sk2 ) ), ~( 'big_p'( f( f(
% 0.70/1.07 sk1 ) ) ) ) ] )
% 0.70/1.07 , clause( 27, [ 'big_p'( f( sk2 ) ), ~( 'big_p'( sk2 ) ), ~( 'big_p'( f( f(
% 0.70/1.07 sk1 ) ) ) ) ] )
% 0.70/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.70/1.07 , 2 )] ) ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 resolution(
% 0.70/1.07 clause( 32, [ ~( 'big_p'( f( f( sk1 ) ) ) ), ~( 'big_p'( f( sk2 ) ) ) ] )
% 0.70/1.07 , clause( 3, [ ~( 'big_p'( f( f( sk1 ) ) ) ), ~( 'big_p'( f( f( sk2 ) ) ) )
% 0.70/1.07 ] )
% 0.70/1.07 , 1, clause( 2, [ ~( 'big_p'( f( X ) ) ), 'big_p'( f( f( X ) ) ) ] )
% 0.70/1.07 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, sk2 )] )).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 subsumption(
% 0.70/1.07 clause( 8, [ ~( 'big_p'( f( sk2 ) ) ), ~( 'big_p'( f( f( sk1 ) ) ) ) ] )
% 0.70/1.07 , clause( 32, [ ~( 'big_p'( f( f( sk1 ) ) ) ), ~( 'big_p'( f( sk2 ) ) ) ]
% 0.70/1.07 )
% 0.70/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.70/1.07 ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 resolution(
% 0.70/1.07 clause( 36, [ ~( 'big_p'( f( f( sk1 ) ) ) ), 'big_p'( sk2 ) ] )
% 0.70/1.07 , clause( 3, [ ~( 'big_p'( f( f( sk1 ) ) ) ), ~( 'big_p'( f( f( sk2 ) ) ) )
% 0.70/1.07 ] )
% 0.70/1.07 , 1, clause( 1, [ 'big_p'( X ), 'big_p'( f( f( X ) ) ) ] )
% 0.70/1.07 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, sk2 )] )).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 subsumption(
% 0.70/1.07 clause( 9, [ 'big_p'( sk2 ), ~( 'big_p'( f( f( sk1 ) ) ) ) ] )
% 0.70/1.07 , clause( 36, [ ~( 'big_p'( f( f( sk1 ) ) ) ), 'big_p'( sk2 ) ] )
% 0.70/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.70/1.07 ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 resolution(
% 0.70/1.07 clause( 38, [ 'big_p'( f( f( sk2 ) ) ), 'big_p'( f( sk1 ) ), ~( 'big_p'(
% 0.70/1.07 sk1 ) ), ~( 'big_p'( sk2 ) ) ] )
% 0.70/1.07 , clause( 2, [ ~( 'big_p'( f( X ) ) ), 'big_p'( f( f( X ) ) ) ] )
% 0.70/1.07 , 0, clause( 4, [ 'big_p'( f( sk1 ) ), ~( 'big_p'( sk1 ) ), ~( 'big_p'( sk2
% 0.70/1.07 ) ), 'big_p'( f( sk2 ) ) ] )
% 0.70/1.07 , 3, substitution( 0, [ :=( X, sk2 )] ), substitution( 1, [] )).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 resolution(
% 0.70/1.07 clause( 43, [ 'big_p'( f( f( sk2 ) ) ), 'big_p'( f( sk1 ) ), ~( 'big_p'(
% 0.70/1.07 sk1 ) ), 'big_p'( f( f( sk2 ) ) ) ] )
% 0.70/1.07 , clause( 38, [ 'big_p'( f( f( sk2 ) ) ), 'big_p'( f( sk1 ) ), ~( 'big_p'(
% 0.70/1.07 sk1 ) ), ~( 'big_p'( sk2 ) ) ] )
% 0.70/1.07 , 3, clause( 1, [ 'big_p'( X ), 'big_p'( f( f( X ) ) ) ] )
% 0.70/1.07 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, sk2 )] )).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 factor(
% 0.70/1.07 clause( 44, [ 'big_p'( f( f( sk2 ) ) ), 'big_p'( f( sk1 ) ), ~( 'big_p'(
% 0.70/1.07 sk1 ) ) ] )
% 0.70/1.07 , clause( 43, [ 'big_p'( f( f( sk2 ) ) ), 'big_p'( f( sk1 ) ), ~( 'big_p'(
% 0.70/1.07 sk1 ) ), 'big_p'( f( f( sk2 ) ) ) ] )
% 0.70/1.07 , 0, 3, substitution( 0, [] )).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 subsumption(
% 0.70/1.07 clause( 10, [ ~( 'big_p'( sk1 ) ), 'big_p'( f( sk1 ) ), 'big_p'( f( f( sk2
% 0.70/1.07 ) ) ) ] )
% 0.70/1.07 , clause( 44, [ 'big_p'( f( f( sk2 ) ) ), 'big_p'( f( sk1 ) ), ~( 'big_p'(
% 0.70/1.07 sk1 ) ) ] )
% 0.70/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 1 ), ==>( 2
% 0.70/1.07 , 0 )] ) ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 resolution(
% 0.70/1.07 clause( 45, [ ~( 'big_p'( sk1 ) ), 'big_p'( f( sk1 ) ), ~( 'big_p'( sk1 ) )
% 0.70/1.07 , 'big_p'( f( sk1 ) ) ] )
% 0.70/1.07 , clause( 5, [ ~( 'big_p'( sk1 ) ), 'big_p'( f( sk1 ) ), ~( 'big_p'( f( f(
% 0.70/1.07 sk2 ) ) ) ) ] )
% 0.70/1.07 , 2, clause( 10, [ ~( 'big_p'( sk1 ) ), 'big_p'( f( sk1 ) ), 'big_p'( f( f(
% 0.70/1.07 sk2 ) ) ) ] )
% 0.70/1.07 , 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 factor(
% 0.70/1.07 clause( 47, [ ~( 'big_p'( sk1 ) ), 'big_p'( f( sk1 ) ), ~( 'big_p'( sk1 ) )
% 0.70/1.07 ] )
% 0.70/1.07 , clause( 45, [ ~( 'big_p'( sk1 ) ), 'big_p'( f( sk1 ) ), ~( 'big_p'( sk1 )
% 0.70/1.07 ), 'big_p'( f( sk1 ) ) ] )
% 0.70/1.07 , 1, 3, substitution( 0, [] )).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 factor(
% 0.70/1.07 clause( 48, [ ~( 'big_p'( sk1 ) ), 'big_p'( f( sk1 ) ) ] )
% 0.70/1.07 , clause( 47, [ ~( 'big_p'( sk1 ) ), 'big_p'( f( sk1 ) ), ~( 'big_p'( sk1 )
% 0.70/1.07 ) ] )
% 0.70/1.07 , 0, 2, substitution( 0, [] )).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 subsumption(
% 0.70/1.07 clause( 15, [ ~( 'big_p'( sk1 ) ), 'big_p'( f( sk1 ) ) ] )
% 0.70/1.07 , clause( 48, [ ~( 'big_p'( sk1 ) ), 'big_p'( f( sk1 ) ) ] )
% 0.70/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.70/1.07 ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 resolution(
% 0.70/1.07 clause( 49, [ 'big_p'( f( f( sk1 ) ) ), ~( 'big_p'( sk1 ) ) ] )
% 0.70/1.07 , clause( 2, [ ~( 'big_p'( f( X ) ) ), 'big_p'( f( f( X ) ) ) ] )
% 0.70/1.07 , 0, clause( 15, [ ~( 'big_p'( sk1 ) ), 'big_p'( f( sk1 ) ) ] )
% 0.70/1.07 , 1, substitution( 0, [ :=( X, sk1 )] ), substitution( 1, [] )).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 resolution(
% 0.70/1.07 clause( 50, [ 'big_p'( f( f( sk1 ) ) ), 'big_p'( f( f( sk1 ) ) ) ] )
% 0.70/1.07 , clause( 49, [ 'big_p'( f( f( sk1 ) ) ), ~( 'big_p'( sk1 ) ) ] )
% 0.70/1.07 , 1, clause( 1, [ 'big_p'( X ), 'big_p'( f( f( X ) ) ) ] )
% 0.70/1.07 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, sk1 )] )).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 factor(
% 0.70/1.07 clause( 51, [ 'big_p'( f( f( sk1 ) ) ) ] )
% 0.70/1.07 , clause( 50, [ 'big_p'( f( f( sk1 ) ) ), 'big_p'( f( f( sk1 ) ) ) ] )
% 0.70/1.07 , 0, 1, substitution( 0, [] )).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 subsumption(
% 0.70/1.07 clause( 17, [ 'big_p'( f( f( sk1 ) ) ) ] )
% 0.70/1.07 , clause( 51, [ 'big_p'( f( f( sk1 ) ) ) ] )
% 0.70/1.07 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 resolution(
% 0.70/1.07 clause( 52, [ 'big_p'( f( sk2 ) ), ~( 'big_p'( f( f( sk1 ) ) ) ), ~(
% 0.70/1.07 'big_p'( f( f( sk1 ) ) ) ) ] )
% 0.70/1.07 , clause( 6, [ ~( 'big_p'( sk2 ) ), 'big_p'( f( sk2 ) ), ~( 'big_p'( f( f(
% 0.70/1.07 sk1 ) ) ) ) ] )
% 0.70/1.07 , 0, clause( 9, [ 'big_p'( sk2 ), ~( 'big_p'( f( f( sk1 ) ) ) ) ] )
% 0.70/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 factor(
% 0.70/1.07 clause( 53, [ 'big_p'( f( sk2 ) ), ~( 'big_p'( f( f( sk1 ) ) ) ) ] )
% 0.70/1.07 , clause( 52, [ 'big_p'( f( sk2 ) ), ~( 'big_p'( f( f( sk1 ) ) ) ), ~(
% 0.70/1.07 'big_p'( f( f( sk1 ) ) ) ) ] )
% 0.70/1.07 , 1, 2, substitution( 0, [] )).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 resolution(
% 0.70/1.07 clause( 54, [ ~( 'big_p'( f( f( sk1 ) ) ) ), ~( 'big_p'( f( f( sk1 ) ) ) )
% 0.70/1.07 ] )
% 0.70/1.07 , clause( 8, [ ~( 'big_p'( f( sk2 ) ) ), ~( 'big_p'( f( f( sk1 ) ) ) ) ] )
% 0.70/1.07 , 0, clause( 53, [ 'big_p'( f( sk2 ) ), ~( 'big_p'( f( f( sk1 ) ) ) ) ] )
% 0.70/1.07 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.07
% 0.70/1.07
% 0.70/1.07 factor(
% 0.70/1.07 clause( 55, [ ~( 'big_p'( f( f( sk1 ) ) ) ) ] )
% 0.70/1.07 , clause( 54, [ ~( 'big_p'( f( f( sk1 ) ) ) ), ~( 'big_p'( f( f( sk1 ) ) )
% 0.70/1.08 ) ] )
% 0.70/1.08 , 0, 1, substitution( 0, [] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 resolution(
% 0.70/1.08 clause( 56, [] )
% 0.70/1.08 , clause( 55, [ ~( 'big_p'( f( f( sk1 ) ) ) ) ] )
% 0.70/1.08 , 0, clause( 17, [ 'big_p'( f( f( sk1 ) ) ) ] )
% 0.70/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 subsumption(
% 0.70/1.08 clause( 19, [] )
% 0.70/1.08 , clause( 56, [] )
% 0.70/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 end.
% 0.70/1.08
% 0.70/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.08
% 0.70/1.08 Memory use:
% 0.70/1.08
% 0.70/1.08 space for terms: 335
% 0.70/1.08 space for clauses: 939
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 clauses generated: 32
% 0.70/1.08 clauses kept: 20
% 0.70/1.08 clauses selected: 14
% 0.70/1.08 clauses deleted: 2
% 0.70/1.08 clauses inuse deleted: 0
% 0.70/1.08
% 0.70/1.08 subsentry: 43
% 0.70/1.08 literals s-matched: 23
% 0.70/1.08 literals matched: 23
% 0.70/1.08 full subsumption: 4
% 0.70/1.08
% 0.70/1.08 checksum: 29720897
% 0.70/1.08
% 0.70/1.08
% 0.70/1.08 Bliksem ended
%------------------------------------------------------------------------------